Version abc70930

68 files changed, 0 insertions, 69046 deletions

diff --git a/src/bdd/cudd/cuBdd.make b/src/bdd/cudd/cuBdd.make
deleted file mode 100644
index b16a27b3..00000000
--- a/src/bdd/cudd/cuBdd.make
+++ /dev/null
@@ -1,41 +0,0 @@
-CSRC_cu += cuddAPI.c cuddAddAbs.c cuddAddApply.c cuddAddFind.c cuddAddIte.c \
-        cuddAddInv.c cuddAddNeg.c cuddAddWalsh.c cuddAndAbs.c \
-        cuddAnneal.c cuddApa.c cuddApprox.c cuddBddAbs.c cuddBddCorr.c \
-    cuddBddIte.c cuddBridge.c cuddCache.c cuddCheck.c cuddClip.c \
-    cuddCof.c cuddCompose.c cuddDecomp.c cuddEssent.c cuddExact.c \
-    cuddExport.c cuddGenCof.c cuddGenetic.c \
-        cuddGroup.c cuddHarwell.c cuddInit.c cuddInteract.c \
-    cuddLCache.c cuddLevelQ.c \
-        cuddLinear.c cuddLiteral.c cuddMatMult.c cuddPriority.c \
-        cuddRead.c cuddRef.c cuddReorder.c cuddSat.c cuddSign.c \
-        cuddSolve.c cuddSplit.c cuddSubsetHB.c cuddSubsetSP.c cuddSymmetry.c \
-    cuddTable.c cuddUtil.c cuddWindow.c cuddZddCount.c cuddZddFuncs.c \
-    cuddZddGroup.c cuddZddIsop.c cuddZddLin.c cuddZddMisc.c cuddZddPort.c \
-    cuddZddReord.c cuddZddSetop.c cuddZddSymm.c cuddZddUtil.c 
-HEADERS_cu += cudd.h cuddInt.h
-MISC += testcudd.c r7x8.1.mat doc/cudd.ps doc/cuddAllAbs.html doc/cuddAllDet.html \
-    doc/cuddExtAbs.html doc/cuddExtDet.html doc/cuddIntro.css \
-    doc/cuddIntro.html doc/footnode.html doc/img1.gif doc/img2.gif \
-    doc/img3.gif doc/img4.gif doc/img5.gif doc/index.html \
-    doc/node1.html doc/node2.html doc/node3.html doc/node4.html \
-    doc/node5.html doc/node6.html doc/node7.html doc/node8.html \
-    doc/icons/change_begin.gif \
-    doc/icons/change_delete.gif \
-    doc/icons/change_end.gif \
-    doc/icons/contents_motif.gif \
-    doc/icons/cross_ref_motif.gif \
-    doc/icons/foot_motif.gif \
-    doc/icons/image.gif \
-    doc/icons/index_motif.gif \
-    doc/icons/next_group_motif.gif \
-    doc/icons/next_group_motif_gr.gif \
-    doc/icons/next_motif.gif \
-    doc/icons/next_motif_gr.gif \
-    doc/icons/previous_group_motif.gif \
-    doc/icons/previous_group_motif_gr.gif \
-    doc/icons/previous_motif.gif \
-    doc/icons/previous_motif_gr.gif \
-    doc/icons/up_motif.gif \
-    doc/icons/up_motif_gr.gif
-
-DEPENDENCYFILES = $(CSRC_cu)
diff --git a/src/bdd/cudd/cudd.h b/src/bdd/cudd/cudd.h
deleted file mode 100644
index a31fcdae..00000000
--- a/src/bdd/cudd/cudd.h
+++ /dev/null
@@ -1,959 +0,0 @@
-/**CHeaderFile*****************************************************************
-
-  FileName    [cudd.h]
-
-  PackageName [cudd]
-
-  Synopsis    [The University of Colorado decision diagram package.]
-
-  Description [External functions and data strucures of the CUDD package.
-  <ul>
-  <li> To turn on the gathering of statistics, define DD_STATS.
-  <li> To link with mis, define DD_MIS.
-  </ul>
-  Modified by Abelardo Pardo to interface it to VIS.
-  ]
-
-  SeeAlso     []
-
-  Author      [Fabio Somenzi]
-
-  Copyright [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-  Revision    [$Id: cudd.h,v 1.1.1.1 2003/02/24 22:23:50 wjiang Exp $]
-
-******************************************************************************/
-
-#ifndef _CUDD
-#define _CUDD
-
-/*---------------------------------------------------------------------------*/
-/* Nested includes                                                           */
-/*---------------------------------------------------------------------------*/
-
-#include "mtr.h"
-#include "epd.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#define CUDD_VERSION "2.3.1"
-
-#ifndef SIZEOF_VOID_P
-#define SIZEOF_VOID_P 4
-#endif
-#ifndef SIZEOF_INT
-#define SIZEOF_INT 4
-#endif
-#ifndef SIZEOF_LONG
-#define SIZEOF_LONG 4
-#endif
-
-#ifndef TRUE
-#define TRUE 1
-#endif
-#ifndef FALSE
-#define FALSE 0
-#endif
-
-#define CUDD_VALUE_TYPE        double
-#define CUDD_OUT_OF_MEM        -1
-/* The sizes of the subtables and the cache must be powers of two. */
-#define CUDD_UNIQUE_SLOTS    256    /* initial size of subtables */
-#define CUDD_CACHE_SLOTS    262144    /* default size of the cache */
-
-/* Constants for residue functions. */
-#define CUDD_RESIDUE_DEFAULT    0
-#define CUDD_RESIDUE_MSB    1
-#define CUDD_RESIDUE_TC        2
-
-/* CUDD_MAXINDEX is defined in such a way that on 32-bit and 64-bit
-** machines one can cast an index to (int) without generating a negative
-** number.
-*/
-#if SIZEOF_VOID_P == 8 && SIZEOF_INT == 4
-#define CUDD_MAXINDEX        (((DdHalfWord) ~0) >> 1)
-#else
-#define CUDD_MAXINDEX        ((DdHalfWord) ~0)
-#endif
-
-/* CUDD_CONST_INDEX is the index of constant nodes.  Currently this
-** is a synonim for CUDD_MAXINDEX. */
-#define CUDD_CONST_INDEX    CUDD_MAXINDEX
-
-/* These constants define the digits used in the representation of
-** arbitrary precision integers.  The two configurations tested use 8
-** and 16 bits for each digit.  The typedefs should be in agreement
-** with these definitions.
-*/
-#define DD_APA_BITS    16
-#define DD_APA_BASE    (1 << DD_APA_BITS)
-#define DD_APA_MASK    (DD_APA_BASE - 1)
-#define DD_APA_HEXPRINT    "%04x"
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/**Enum************************************************************************
-
-  Synopsis    [Type of reordering algorithm.]
-
-  Description [Type of reordering algorithm.]
-
-******************************************************************************/
-typedef enum {
-    CUDD_REORDER_SAME,
-    CUDD_REORDER_NONE,
-    CUDD_REORDER_RANDOM,
-    CUDD_REORDER_RANDOM_PIVOT,
-    CUDD_REORDER_SIFT,
-    CUDD_REORDER_SIFT_CONVERGE,
-    CUDD_REORDER_SYMM_SIFT,
-    CUDD_REORDER_SYMM_SIFT_CONV,
-    CUDD_REORDER_WINDOW2,
-    CUDD_REORDER_WINDOW3,
-    CUDD_REORDER_WINDOW4,
-    CUDD_REORDER_WINDOW2_CONV,
-    CUDD_REORDER_WINDOW3_CONV,
-    CUDD_REORDER_WINDOW4_CONV,
-    CUDD_REORDER_GROUP_SIFT,
-    CUDD_REORDER_GROUP_SIFT_CONV,
-    CUDD_REORDER_ANNEALING,
-    CUDD_REORDER_GENETIC,
-    CUDD_REORDER_LINEAR,
-    CUDD_REORDER_LINEAR_CONVERGE,
-    CUDD_REORDER_LAZY_SIFT,
-    CUDD_REORDER_EXACT
-} Cudd_ReorderingType;
-
-
-/**Enum************************************************************************
-
-  Synopsis    [Type of aggregation methods.]
-
-  Description [Type of aggregation methods.]
-
-******************************************************************************/
-typedef enum {
-    CUDD_NO_CHECK,
-    CUDD_GROUP_CHECK,
-    CUDD_GROUP_CHECK2,
-    CUDD_GROUP_CHECK3,
-    CUDD_GROUP_CHECK4,
-    CUDD_GROUP_CHECK5,
-    CUDD_GROUP_CHECK6,
-    CUDD_GROUP_CHECK7,
-    CUDD_GROUP_CHECK8,
-    CUDD_GROUP_CHECK9
-} Cudd_AggregationType;
-
-
-/**Enum************************************************************************
-
-  Synopsis    [Type of hooks.]
-
-  Description [Type of hooks.]
-
-******************************************************************************/
-typedef enum {
-    CUDD_PRE_GC_HOOK,
-    CUDD_POST_GC_HOOK,
-    CUDD_PRE_REORDERING_HOOK,
-    CUDD_POST_REORDERING_HOOK
-} Cudd_HookType;
-
-
-/**Enum************************************************************************
-
-  Synopsis    [Type of error codes.]
-
-  Description [Type of  error codes.]
-
-******************************************************************************/
-typedef enum {
-    CUDD_NO_ERROR,
-    CUDD_MEMORY_OUT,
-    CUDD_TOO_MANY_NODES,
-    CUDD_MAX_MEM_EXCEEDED,
-    CUDD_INVALID_ARG,
-    CUDD_INTERNAL_ERROR
-} Cudd_ErrorType;
-
-
-/**Enum************************************************************************
-
-  Synopsis    [Group type for lazy sifting.]
-
-  Description [Group type for lazy sifting.]
-
-******************************************************************************/
-typedef enum {
-    CUDD_LAZY_NONE,
-    CUDD_LAZY_SOFT_GROUP,
-    CUDD_LAZY_HARD_GROUP,
-    CUDD_LAZY_UNGROUP
-} Cudd_LazyGroupType;
-
-
-/**Enum************************************************************************
-
-  Synopsis    [Variable type.]
-
-  Description [Variable type. Currently used only in lazy sifting.]
-
-******************************************************************************/
-typedef enum {
-    CUDD_VAR_PRIMARY_INPUT,
-    CUDD_VAR_PRESENT_STATE,
-    CUDD_VAR_NEXT_STATE
-} Cudd_VariableType;
-
-
-#if SIZEOF_VOID_P == 8 && SIZEOF_INT == 4
-typedef unsigned int   DdHalfWord;
-#else
-typedef unsigned short DdHalfWord;
-#endif
-
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-
-typedef struct DdNode DdNode;
-
-typedef struct DdChildren {
-    struct DdNode *T;
-    struct DdNode *E;
-} DdChildren;
-
-/* The DdNode structure is the only one exported out of the package */
-struct DdNode {
-    DdHalfWord index;
-    DdHalfWord ref;        /* reference count */
-    DdNode *next;        /* next pointer for unique table */
-    union {
-    CUDD_VALUE_TYPE value;    /* for constant nodes */
-    DdChildren kids;    /* for internal nodes */
-    } type;
-};
-
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-
-typedef struct DdManager DdManager;
-
-typedef struct DdGen DdGen;
-
-/* These typedefs for arbitrary precision arithmetic should agree with
-** the corresponding constant definitions above. */
-typedef unsigned short int DdApaDigit;
-typedef unsigned long int DdApaDoubleDigit;
-typedef DdApaDigit * DdApaNumber;
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Returns 1 if the node is a constant node.]
-
-  Description  [Returns 1 if the node is a constant node (rather than an
-  internal node). All constant nodes have the same index
-  (CUDD_CONST_INDEX). The pointer passed to Cudd_IsConstant may be either
-  regular or complemented.]
-
-  SideEffects  [none]
-
-  SeeAlso      []
-
-******************************************************************************/
-#define Cudd_IsConstant(node) ((Cudd_Regular(node))->index == CUDD_CONST_INDEX)
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Complements a DD.]
-
-  Description  [Complements a DD by flipping the complement attribute of
-  the pointer (the least significant bit).]
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_NotCond]
-
-******************************************************************************/
-#define Cudd_Not(node) ((DdNode *)((long)(node) ^ 01))
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Complements a DD if a condition is true.]
-
-  Description  [Complements a DD if condition c is true; c should be
-  either 0 or 1, because it is used directly (for efficiency). If in
-  doubt on the values c may take, use "(c) ? Cudd_Not(node) : node".]
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_Not]
-
-******************************************************************************/
-#define Cudd_NotCond(node,c) ((DdNode *)((long)(node) ^ (c)))
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Returns the regular version of a pointer.]
-
-  Description  []
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_Complement Cudd_IsComplement]
-
-******************************************************************************/
-#define Cudd_Regular(node) ((DdNode *)((unsigned long)(node) & ~01))
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Returns the complemented version of a pointer.]
-
-  Description  []
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_Regular Cudd_IsComplement]
-
-******************************************************************************/
-#define Cudd_Complement(node) ((DdNode *)((unsigned long)(node) | 01))
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Returns 1 if a pointer is complemented.]
-
-  Description  []
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_Regular Cudd_Complement]
-
-******************************************************************************/
-#define Cudd_IsComplement(node)    ((int) ((long) (node) & 01))
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Returns the then child of an internal node.]
-
-  Description  [Returns the then child of an internal node. If
-  <code>node</code> is a constant node, the result is unpredictable.]
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_E Cudd_V]
-
-******************************************************************************/
-#define Cudd_T(node) ((Cudd_Regular(node))->type.kids.T)
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Returns the else child of an internal node.]
-
-  Description  [Returns the else child of an internal node. If
-  <code>node</code> is a constant node, the result is unpredictable.]
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_T Cudd_V]
-
-******************************************************************************/
-#define Cudd_E(node) ((Cudd_Regular(node))->type.kids.E)
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Returns the value of a constant node.]
-
-  Description  [Returns the value of a constant node. If
-  <code>node</code> is an internal node, the result is unpredictable.]
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_T Cudd_E]
-
-******************************************************************************/
-#define Cudd_V(node) ((Cudd_Regular(node))->type.value)
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Returns the current position in the order of variable
-  index.]
-
-  Description [Returns the current position in the order of variable
-  index. This macro is obsolete and is kept for compatibility. New
-  applications should use Cudd_ReadPerm instead.]
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_ReadPerm]
-
-******************************************************************************/
-#define Cudd_ReadIndex(dd,index) (Cudd_ReadPerm(dd,index))
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Iterates over the cubes of a decision diagram.]
-
-  Description  [Iterates over the cubes of a decision diagram f.
-  <ul>
-  <li> DdManager *manager;
-  <li> DdNode *f;
-  <li> DdGen *gen;
-  <li> int *cube;
-  <li> CUDD_VALUE_TYPE value;
-  </ul>
-  Cudd_ForeachCube allocates and frees the generator. Therefore the
-  application should not try to do that. Also, the cube is freed at the
-  end of Cudd_ForeachCube and hence is not available outside of the loop.<p>
-  CAUTION: It is assumed that dynamic reordering will not occur while
-  there are open generators. It is the user's responsibility to make sure
-  that dynamic reordering does not occur. As long as new nodes are not created
-  during generation, and dynamic reordering is not called explicitly,
-  dynamic reordering will not occur. Alternatively, it is sufficient to
-  disable dynamic reordering. It is a mistake to dispose of a diagram
-  on which generation is ongoing.]
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_ForeachNode Cudd_FirstCube Cudd_NextCube Cudd_GenFree
-  Cudd_IsGenEmpty Cudd_AutodynDisable]
-
-******************************************************************************/
-#define Cudd_ForeachCube(manager, f, gen, cube, value)\
-    for((gen) = Cudd_FirstCube(manager, f, &cube, &value);\
-    Cudd_IsGenEmpty(gen) ? Cudd_GenFree(gen) : TRUE;\
-    (void) Cudd_NextCube(gen, &cube, &value))
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Iterates over the nodes of a decision diagram.]
-
-  Description  [Iterates over the nodes of a decision diagram f.
-  <ul>
-  <li> DdManager *manager;
-  <li> DdNode *f;
-  <li> DdGen *gen;
-  <li> DdNode *node;
-  </ul>
-  The nodes are returned in a seemingly random order.
-  Cudd_ForeachNode allocates and frees the generator. Therefore the
-  application should not try to do that.<p>
-  CAUTION: It is assumed that dynamic reordering will not occur while
-  there are open generators. It is the user's responsibility to make sure
-  that dynamic reordering does not occur. As long as new nodes are not created
-  during generation, and dynamic reordering is not called explicitly,
-  dynamic reordering will not occur. Alternatively, it is sufficient to
-  disable dynamic reordering. It is a mistake to dispose of a diagram
-  on which generation is ongoing.]
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_ForeachCube Cudd_FirstNode Cudd_NextNode Cudd_GenFree
-  Cudd_IsGenEmpty Cudd_AutodynDisable]
-
-******************************************************************************/
-#define Cudd_ForeachNode(manager, f, gen, node)\
-    for((gen) = Cudd_FirstNode(manager, f, &node);\
-    Cudd_IsGenEmpty(gen) ? Cudd_GenFree(gen) : TRUE;\
-    (void) Cudd_NextNode(gen, &node))
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Iterates over the paths of a ZDD.]
-
-  Description  [Iterates over the paths of a ZDD f.
-  <ul>
-  <li> DdManager *manager;
-  <li> DdNode *f;
-  <li> DdGen *gen;
-  <li> int *path;
-  </ul>
-  Cudd_zddForeachPath allocates and frees the generator. Therefore the
-  application should not try to do that. Also, the path is freed at the
-  end of Cudd_zddForeachPath and hence is not available outside of the loop.<p>
-  CAUTION: It is assumed that dynamic reordering will not occur while
-  there are open generators.  It is the user's responsibility to make sure
-  that dynamic reordering does not occur.  As long as new nodes are not created
-  during generation, and dynamic reordering is not called explicitly,
-  dynamic reordering will not occur.  Alternatively, it is sufficient to
-  disable dynamic reordering.  It is a mistake to dispose of a diagram
-  on which generation is ongoing.]
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_zddFirstPath Cudd_zddNextPath Cudd_GenFree
-  Cudd_IsGenEmpty Cudd_AutodynDisable]
-
-******************************************************************************/
-#define Cudd_zddForeachPath(manager, f, gen, path)\
-    for((gen) = Cudd_zddFirstPath(manager, f, &path);\
-    Cudd_IsGenEmpty(gen) ? Cudd_GenFree(gen) : TRUE;\
-    (void) Cudd_zddNextPath(gen, &path))
-
-
-/* These are potential duplicates. */
-#ifndef EXTERN
-#   ifdef __cplusplus
-#    define EXTERN extern "C"
-#   else
-#    define EXTERN extern
-#   endif
-#endif
-#ifndef ARGS
-#   if defined(__STDC__) || defined(__cplusplus)
-#    define ARGS(protos)    protos        /* ANSI C */
-#   else /* !(__STDC__ || __cplusplus) */
-#    define ARGS(protos)    ()        /* K&R C */
-#   endif /* !(__STDC__ || __cplusplus) */
-#endif
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Function prototypes                                                       */
-/*---------------------------------------------------------------------------*/
-
-EXTERN DdNode * Cudd_addNewVar ARGS((DdManager *dd));
-EXTERN DdNode * Cudd_addNewVarAtLevel ARGS((DdManager *dd, int level));
-EXTERN DdNode * Cudd_bddNewVar ARGS((DdManager *dd));
-EXTERN DdNode * Cudd_bddNewVarAtLevel ARGS((DdManager *dd, int level));
-EXTERN DdNode * Cudd_addIthVar ARGS((DdManager *dd, int i));
-EXTERN DdNode * Cudd_bddIthVar ARGS((DdManager *dd, int i));
-EXTERN DdNode * Cudd_zddIthVar ARGS((DdManager *dd, int i));
-EXTERN int Cudd_zddVarsFromBddVars ARGS((DdManager *dd, int multiplicity));
-EXTERN DdNode * Cudd_addConst ARGS((DdManager *dd, CUDD_VALUE_TYPE c));
-EXTERN int Cudd_IsNonConstant ARGS((DdNode *f));
-EXTERN void Cudd_AutodynEnable ARGS((DdManager *unique, Cudd_ReorderingType method));
-EXTERN void Cudd_AutodynDisable ARGS((DdManager *unique));
-EXTERN int Cudd_ReorderingStatus ARGS((DdManager *unique, Cudd_ReorderingType *method));
-EXTERN void Cudd_AutodynEnableZdd ARGS((DdManager *unique, Cudd_ReorderingType method));
-EXTERN void Cudd_AutodynDisableZdd ARGS((DdManager *unique));
-EXTERN int Cudd_ReorderingStatusZdd ARGS((DdManager *unique, Cudd_ReorderingType *method));
-EXTERN int Cudd_zddRealignmentEnabled ARGS((DdManager *unique));
-EXTERN void Cudd_zddRealignEnable ARGS((DdManager *unique));
-EXTERN void Cudd_zddRealignDisable ARGS((DdManager *unique));
-EXTERN int Cudd_bddRealignmentEnabled ARGS((DdManager *unique));
-EXTERN void Cudd_bddRealignEnable ARGS((DdManager *unique));
-EXTERN void Cudd_bddRealignDisable ARGS((DdManager *unique));
-EXTERN DdNode * Cudd_ReadOne ARGS((DdManager *dd));
-EXTERN DdNode * Cudd_ReadZddOne ARGS((DdManager *dd, int i));
-EXTERN DdNode * Cudd_ReadZero ARGS((DdManager *dd));
-EXTERN DdNode * Cudd_ReadLogicZero ARGS((DdManager *dd));
-EXTERN DdNode * Cudd_ReadPlusInfinity ARGS((DdManager *dd));
-EXTERN DdNode * Cudd_ReadMinusInfinity ARGS((DdManager *dd));
-EXTERN DdNode * Cudd_ReadBackground ARGS((DdManager *dd));
-EXTERN void Cudd_SetBackground ARGS((DdManager *dd, DdNode *bck));
-EXTERN unsigned int Cudd_ReadCacheSlots ARGS((DdManager *dd));
-EXTERN double Cudd_ReadCacheUsedSlots ARGS((DdManager * dd));
-EXTERN double Cudd_ReadCacheLookUps ARGS((DdManager *dd));
-EXTERN double Cudd_ReadCacheHits ARGS((DdManager *dd));
-EXTERN double Cudd_ReadRecursiveCalls ARGS ((DdManager * dd));
-EXTERN unsigned int Cudd_ReadMinHit ARGS((DdManager *dd));
-EXTERN void Cudd_SetMinHit ARGS((DdManager *dd, unsigned int hr));
-EXTERN unsigned int Cudd_ReadLooseUpTo ARGS((DdManager *dd));
-EXTERN void Cudd_SetLooseUpTo ARGS((DdManager *dd, unsigned int lut));
-EXTERN unsigned int Cudd_ReadMaxCache ARGS((DdManager *dd));
-EXTERN unsigned int Cudd_ReadMaxCacheHard ARGS((DdManager *dd));
-EXTERN void Cudd_SetMaxCacheHard ARGS((DdManager *dd, unsigned int mc));
-EXTERN int Cudd_ReadSize ARGS((DdManager *dd));
-EXTERN int Cudd_ReadZddSize ARGS((DdManager *dd));
-EXTERN unsigned int Cudd_ReadSlots ARGS((DdManager *dd));
-EXTERN double Cudd_ReadUsedSlots ARGS((DdManager * dd));
-EXTERN double Cudd_ExpectedUsedSlots ARGS((DdManager * dd));
-EXTERN unsigned int Cudd_ReadKeys ARGS((DdManager *dd));
-EXTERN unsigned int Cudd_ReadDead ARGS((DdManager *dd));
-EXTERN unsigned int Cudd_ReadMinDead ARGS((DdManager *dd));
-EXTERN int Cudd_ReadReorderings ARGS((DdManager *dd));
-EXTERN long Cudd_ReadReorderingTime ARGS((DdManager * dd));
-EXTERN int Cudd_ReadGarbageCollections ARGS((DdManager * dd));
-EXTERN long Cudd_ReadGarbageCollectionTime ARGS((DdManager * dd));
-EXTERN double Cudd_ReadNodesFreed ARGS((DdManager * dd));
-EXTERN double Cudd_ReadNodesDropped ARGS((DdManager * dd));
-EXTERN double Cudd_ReadUniqueLookUps ARGS((DdManager * dd));
-EXTERN double Cudd_ReadUniqueLinks ARGS((DdManager * dd));
-EXTERN int Cudd_ReadSiftMaxVar ARGS((DdManager *dd));
-EXTERN void Cudd_SetSiftMaxVar ARGS((DdManager *dd, int smv));
-EXTERN int Cudd_ReadSiftMaxSwap ARGS((DdManager *dd));
-EXTERN void Cudd_SetSiftMaxSwap ARGS((DdManager *dd, int sms));
-EXTERN double Cudd_ReadMaxGrowth ARGS((DdManager *dd));
-EXTERN void Cudd_SetMaxGrowth ARGS((DdManager *dd, double mg));
-EXTERN double Cudd_ReadMaxGrowthAlternate ARGS((DdManager * dd));
-EXTERN void Cudd_SetMaxGrowthAlternate ARGS((DdManager * dd, double mg));
-EXTERN int Cudd_ReadReorderingCycle ARGS((DdManager * dd));
-EXTERN void Cudd_SetReorderingCycle ARGS((DdManager * dd, int cycle));
-EXTERN MtrNode * Cudd_ReadTree ARGS((DdManager *dd));
-EXTERN void Cudd_SetTree ARGS((DdManager *dd, MtrNode *tree));
-EXTERN void Cudd_FreeTree ARGS((DdManager *dd));
-EXTERN MtrNode * Cudd_ReadZddTree ARGS((DdManager *dd));
-EXTERN void Cudd_SetZddTree ARGS((DdManager *dd, MtrNode *tree));
-EXTERN void Cudd_FreeZddTree ARGS((DdManager *dd));
-EXTERN unsigned int Cudd_NodeReadIndex ARGS((DdNode *node));
-EXTERN int Cudd_ReadPerm ARGS((DdManager *dd, int i));
-EXTERN int Cudd_ReadPermZdd ARGS((DdManager *dd, int i));
-EXTERN int Cudd_ReadInvPerm ARGS((DdManager *dd, int i));
-EXTERN int Cudd_ReadInvPermZdd ARGS((DdManager *dd, int i));
-EXTERN DdNode * Cudd_ReadVars ARGS((DdManager *dd, int i));
-EXTERN CUDD_VALUE_TYPE Cudd_ReadEpsilon ARGS((DdManager *dd));
-EXTERN void Cudd_SetEpsilon ARGS((DdManager *dd, CUDD_VALUE_TYPE ep));
-EXTERN Cudd_AggregationType Cudd_ReadGroupcheck ARGS((DdManager *dd));
-EXTERN void Cudd_SetGroupcheck ARGS((DdManager *dd, Cudd_AggregationType gc));
-EXTERN int Cudd_GarbageCollectionEnabled ARGS((DdManager *dd));
-EXTERN void Cudd_EnableGarbageCollection ARGS((DdManager *dd));
-EXTERN void Cudd_DisableGarbageCollection ARGS((DdManager *dd));
-EXTERN int Cudd_DeadAreCounted ARGS((DdManager *dd));
-EXTERN void Cudd_TurnOnCountDead ARGS((DdManager *dd));
-EXTERN void Cudd_TurnOffCountDead ARGS((DdManager *dd));
-EXTERN int Cudd_ReadRecomb ARGS((DdManager *dd));
-EXTERN void Cudd_SetRecomb ARGS((DdManager *dd, int recomb));
-EXTERN int Cudd_ReadSymmviolation ARGS((DdManager *dd));
-EXTERN void Cudd_SetSymmviolation ARGS((DdManager *dd, int symmviolation));
-EXTERN int Cudd_ReadArcviolation ARGS((DdManager *dd));
-EXTERN void Cudd_SetArcviolation ARGS((DdManager *dd, int arcviolation));
-EXTERN int Cudd_ReadPopulationSize ARGS((DdManager *dd));
-EXTERN void Cudd_SetPopulationSize ARGS((DdManager *dd, int populationSize));
-EXTERN int Cudd_ReadNumberXovers ARGS((DdManager *dd));
-EXTERN void Cudd_SetNumberXovers ARGS((DdManager *dd, int numberXovers));
-EXTERN long Cudd_ReadMemoryInUse ARGS((DdManager *dd));
-EXTERN int Cudd_PrintInfo ARGS((DdManager *dd, FILE *fp));
-EXTERN long Cudd_ReadPeakNodeCount ARGS((DdManager *dd));
-EXTERN int Cudd_ReadPeakLiveNodeCount ARGS((DdManager * dd));
-EXTERN long Cudd_ReadNodeCount ARGS((DdManager *dd));
-EXTERN long Cudd_zddReadNodeCount ARGS((DdManager *dd));
-EXTERN int Cudd_AddHook ARGS((DdManager *dd, int (*f)(DdManager *, char *, void *), Cudd_HookType where));
-EXTERN int Cudd_RemoveHook ARGS((DdManager *dd, int (*f)(DdManager *, char *, void *), Cudd_HookType where));
-EXTERN int Cudd_IsInHook ARGS((DdManager * dd, int (*f)(DdManager *, char *, void *), Cudd_HookType where));
-EXTERN int Cudd_StdPreReordHook ARGS((DdManager *dd, char *str, void *data));
-EXTERN int Cudd_StdPostReordHook ARGS((DdManager *dd, char *str, void *data));
-EXTERN int Cudd_EnableReorderingReporting ARGS((DdManager *dd));
-EXTERN int Cudd_DisableReorderingReporting ARGS((DdManager *dd));
-EXTERN int Cudd_ReorderingReporting ARGS((DdManager *dd));
-EXTERN Cudd_ErrorType Cudd_ReadErrorCode ARGS((DdManager *dd));
-EXTERN void Cudd_ClearErrorCode ARGS((DdManager *dd));
-EXTERN FILE * Cudd_ReadStdout ARGS((DdManager *dd));
-EXTERN void Cudd_SetStdout ARGS((DdManager *dd, FILE *fp));
-EXTERN FILE * Cudd_ReadStderr ARGS((DdManager *dd));
-EXTERN void Cudd_SetStderr ARGS((DdManager *dd, FILE *fp));
-EXTERN unsigned int Cudd_ReadNextReordering ARGS((DdManager *dd));
-EXTERN void Cudd_SetNextReordering ARGS((DdManager *dd, unsigned int next));
-EXTERN double Cudd_ReadSwapSteps ARGS((DdManager *dd));
-EXTERN unsigned int Cudd_ReadMaxLive ARGS((DdManager *dd));
-EXTERN void Cudd_SetMaxLive ARGS((DdManager *dd, unsigned int maxLive));
-EXTERN long Cudd_ReadMaxMemory ARGS((DdManager *dd));
-EXTERN void Cudd_SetMaxMemory ARGS((DdManager *dd, long maxMemory));
-EXTERN int Cudd_bddBindVar ARGS((DdManager *dd, int index));
-EXTERN int Cudd_bddUnbindVar ARGS((DdManager *dd, int index));
-EXTERN int Cudd_bddVarIsBound ARGS((DdManager *dd, int index));
-EXTERN DdNode * Cudd_addExistAbstract ARGS((DdManager *manager, DdNode *f, DdNode *cube));
-EXTERN DdNode * Cudd_addUnivAbstract ARGS((DdManager *manager, DdNode *f, DdNode *cube));
-EXTERN DdNode * Cudd_addOrAbstract ARGS((DdManager *manager, DdNode *f, DdNode *cube));
-EXTERN DdNode * Cudd_addApply ARGS((DdManager *dd, DdNode * (*)(DdManager *, DdNode **, DdNode **), DdNode *f, DdNode *g));
-EXTERN DdNode * Cudd_addPlus ARGS((DdManager *dd, DdNode **f, DdNode **g));
-EXTERN DdNode * Cudd_addTimes ARGS((DdManager *dd, DdNode **f, DdNode **g));
-EXTERN DdNode * Cudd_addThreshold ARGS((DdManager *dd, DdNode **f, DdNode **g));
-EXTERN DdNode * Cudd_addSetNZ ARGS((DdManager *dd, DdNode **f, DdNode **g));
-EXTERN DdNode * Cudd_addDivide ARGS((DdManager *dd, DdNode **f, DdNode **g));
-EXTERN DdNode * Cudd_addMinus ARGS((DdManager *dd, DdNode **f, DdNode **g));
-EXTERN DdNode * Cudd_addMinimum ARGS((DdManager *dd, DdNode **f, DdNode **g));
-EXTERN DdNode * Cudd_addMaximum ARGS((DdManager *dd, DdNode **f, DdNode **g));
-EXTERN DdNode * Cudd_addOneZeroMaximum ARGS((DdManager *dd, DdNode **f, DdNode **g));
-EXTERN DdNode * Cudd_addDiff ARGS((DdManager *dd, DdNode **f, DdNode **g));
-EXTERN DdNode * Cudd_addAgreement ARGS((DdManager *dd, DdNode **f, DdNode **g));
-EXTERN DdNode * Cudd_addOr ARGS((DdManager *dd, DdNode **f, DdNode **g));
-EXTERN DdNode * Cudd_addNand ARGS((DdManager *dd, DdNode **f, DdNode **g));
-EXTERN DdNode * Cudd_addNor ARGS((DdManager *dd, DdNode **f, DdNode **g));
-EXTERN DdNode * Cudd_addXor ARGS((DdManager *dd, DdNode **f, DdNode **g));
-EXTERN DdNode * Cudd_addXnor ARGS((DdManager *dd, DdNode **f, DdNode **g));
-EXTERN DdNode * Cudd_addMonadicApply ARGS((DdManager * dd, DdNode * (*op)(DdManager *, DdNode *), DdNode * f));
-EXTERN DdNode * Cudd_addLog ARGS((DdManager * dd, DdNode * f));
-EXTERN DdNode * Cudd_addFindMax ARGS((DdManager *dd, DdNode *f));
-EXTERN DdNode * Cudd_addFindMin ARGS((DdManager *dd, DdNode *f));
-EXTERN DdNode * Cudd_addIthBit ARGS((DdManager *dd, DdNode *f, int bit));
-EXTERN DdNode * Cudd_addScalarInverse ARGS((DdManager *dd, DdNode *f, DdNode *epsilon));
-EXTERN DdNode * Cudd_addIte ARGS((DdManager *dd, DdNode *f, DdNode *g, DdNode *h));
-EXTERN DdNode * Cudd_addIteConstant ARGS((DdManager *dd, DdNode *f, DdNode *g, DdNode *h));
-EXTERN DdNode * Cudd_addEvalConst ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN int Cudd_addLeq ARGS((DdManager * dd, DdNode * f, DdNode * g));
-EXTERN DdNode * Cudd_addCmpl ARGS((DdManager *dd, DdNode *f));
-EXTERN DdNode * Cudd_addNegate ARGS((DdManager *dd, DdNode *f));
-EXTERN DdNode * Cudd_addRoundOff ARGS((DdManager *dd, DdNode *f, int N));
-EXTERN DdNode * Cudd_addWalsh ARGS((DdManager *dd, DdNode **x, DdNode **y, int n));
-EXTERN DdNode * Cudd_addResidue ARGS((DdManager *dd, int n, int m, int options, int top));
-EXTERN DdNode * Cudd_bddAndAbstract ARGS((DdManager *manager, DdNode *f, DdNode *g, DdNode *cube));
-EXTERN int Cudd_ApaNumberOfDigits ARGS((int binaryDigits));
-EXTERN DdApaNumber Cudd_NewApaNumber ARGS((int digits));
-EXTERN void Cudd_ApaCopy ARGS((int digits, DdApaNumber source, DdApaNumber dest));
-EXTERN DdApaDigit Cudd_ApaAdd ARGS((int digits, DdApaNumber a, DdApaNumber b, DdApaNumber sum));
-EXTERN DdApaDigit Cudd_ApaSubtract ARGS((int digits, DdApaNumber a, DdApaNumber b, DdApaNumber diff));
-EXTERN DdApaDigit Cudd_ApaShortDivision ARGS((int digits, DdApaNumber dividend, DdApaDigit divisor, DdApaNumber quotient));
-EXTERN unsigned int Cudd_ApaIntDivision ARGS((int  digits, DdApaNumber dividend, unsigned int  divisor, DdApaNumber  quotient));
-EXTERN void Cudd_ApaShiftRight ARGS((int digits, DdApaDigit in, DdApaNumber a, DdApaNumber b));
-EXTERN void Cudd_ApaSetToLiteral ARGS((int digits, DdApaNumber number, DdApaDigit literal));
-EXTERN void Cudd_ApaPowerOfTwo ARGS((int digits, DdApaNumber number, int power));
-EXTERN int Cudd_ApaCompare ARGS((int digitsFirst, DdApaNumber  first, int digitsSecond, DdApaNumber  second));
-EXTERN int Cudd_ApaCompareRatios ARGS ((int digitsFirst, DdApaNumber firstNum, unsigned int firstDen, int digitsSecond, DdApaNumber secondNum, unsigned int secondDen));
-EXTERN int Cudd_ApaPrintHex ARGS((FILE *fp, int digits, DdApaNumber number));
-EXTERN int Cudd_ApaPrintDecimal ARGS((FILE *fp, int digits, DdApaNumber number));
-EXTERN int Cudd_ApaPrintExponential ARGS((FILE * fp, int  digits, DdApaNumber  number, int precision));
-EXTERN DdApaNumber Cudd_ApaCountMinterm ARGS((DdManager *manager, DdNode *node, int nvars, int *digits));
-EXTERN int Cudd_ApaPrintMinterm ARGS((FILE *fp, DdManager *dd, DdNode *node, int nvars));
-EXTERN int Cudd_ApaPrintMintermExp ARGS((FILE * fp, DdManager * dd, DdNode * node, int  nvars, int precision));
-EXTERN int Cudd_ApaPrintDensity ARGS((FILE * fp, DdManager * dd, DdNode * node, int  nvars));
-EXTERN DdNode * Cudd_UnderApprox ARGS((DdManager *dd, DdNode *f, int numVars, int threshold, int safe, double quality));
-EXTERN DdNode * Cudd_OverApprox ARGS((DdManager *dd, DdNode *f, int numVars, int threshold, int safe, double quality));
-EXTERN DdNode * Cudd_RemapUnderApprox ARGS((DdManager *dd, DdNode *f, int numVars, int threshold, double quality));
-EXTERN DdNode * Cudd_RemapOverApprox ARGS((DdManager *dd, DdNode *f, int numVars, int threshold, double quality));
-EXTERN DdNode * Cudd_BiasedUnderApprox ARGS((DdManager *dd, DdNode *f, DdNode *b, int numVars, int threshold, double quality1, double quality0));
-EXTERN DdNode * Cudd_BiasedOverApprox ARGS((DdManager *dd, DdNode *f, DdNode *b, int numVars, int threshold, double quality1, double quality0));
-EXTERN DdNode * Cudd_bddExistAbstract ARGS((DdManager *manager, DdNode *f, DdNode *cube));
-EXTERN DdNode * Cudd_bddXorExistAbstract ARGS((DdManager *manager, DdNode *f, DdNode *g, DdNode *cube));
-EXTERN DdNode * Cudd_bddUnivAbstract ARGS((DdManager *manager, DdNode *f, DdNode *cube));
-EXTERN DdNode * Cudd_bddBooleanDiff ARGS((DdManager *manager, DdNode *f, int x));
-EXTERN int Cudd_bddVarIsDependent ARGS((DdManager *dd, DdNode *f, DdNode *var));
-EXTERN double Cudd_bddCorrelation ARGS((DdManager *manager, DdNode *f, DdNode *g));
-EXTERN double Cudd_bddCorrelationWeights ARGS((DdManager *manager, DdNode *f, DdNode *g, double *prob));
-EXTERN DdNode * Cudd_bddIte ARGS((DdManager *dd, DdNode *f, DdNode *g, DdNode *h));
-EXTERN DdNode * Cudd_bddIteConstant ARGS((DdManager *dd, DdNode *f, DdNode *g, DdNode *h));
-EXTERN DdNode * Cudd_bddIntersect ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode * Cudd_bddAnd ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode * Cudd_bddOr ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode * Cudd_bddNand ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode * Cudd_bddNor ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode * Cudd_bddXor ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode * Cudd_bddXnor ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN int Cudd_bddLeq ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode * Cudd_addBddThreshold ARGS((DdManager *dd, DdNode *f, CUDD_VALUE_TYPE value));
-EXTERN DdNode * Cudd_addBddStrictThreshold ARGS((DdManager *dd, DdNode *f, CUDD_VALUE_TYPE value));
-EXTERN DdNode * Cudd_addBddInterval ARGS((DdManager *dd, DdNode *f, CUDD_VALUE_TYPE lower, CUDD_VALUE_TYPE upper));
-EXTERN DdNode * Cudd_addBddIthBit ARGS((DdManager *dd, DdNode *f, int bit));
-EXTERN DdNode * Cudd_BddToAdd ARGS((DdManager *dd, DdNode *B));
-EXTERN DdNode * Cudd_addBddPattern ARGS((DdManager *dd, DdNode *f));
-EXTERN DdNode * Cudd_bddTransfer ARGS((DdManager *ddSource, DdManager *ddDestination, DdNode *f));
-EXTERN int Cudd_DebugCheck ARGS((DdManager *table));
-EXTERN int Cudd_CheckKeys ARGS((DdManager *table));
-EXTERN DdNode * Cudd_bddClippingAnd ARGS((DdManager *dd, DdNode *f, DdNode *g, int maxDepth, int direction));
-EXTERN DdNode * Cudd_bddClippingAndAbstract ARGS((DdManager *dd, DdNode *f, DdNode *g, DdNode *cube, int maxDepth, int direction));
-EXTERN DdNode * Cudd_Cofactor ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode * Cudd_bddCompose ARGS((DdManager *dd, DdNode *f, DdNode *g, int v));
-EXTERN DdNode * Cudd_addCompose ARGS((DdManager *dd, DdNode *f, DdNode *g, int v));
-EXTERN DdNode * Cudd_addPermute ARGS((DdManager *manager, DdNode *node, int *permut));
-EXTERN DdNode * Cudd_addSwapVariables ARGS((DdManager *dd, DdNode *f, DdNode **x, DdNode **y, int n));
-EXTERN DdNode * Cudd_bddPermute ARGS((DdManager *manager, DdNode *node, int *permut));
-EXTERN DdNode * Cudd_bddVarMap ARGS((DdManager *manager, DdNode *f));
-EXTERN int Cudd_SetVarMap ARGS((DdManager *manager, DdNode **x, DdNode **y, int n));
-EXTERN DdNode * Cudd_bddSwapVariables ARGS((DdManager *dd, DdNode *f, DdNode **x, DdNode **y, int n));
-EXTERN DdNode * Cudd_bddAdjPermuteX ARGS((DdManager *dd, DdNode *B, DdNode **x, int n));
-EXTERN DdNode * Cudd_addVectorCompose ARGS((DdManager *dd, DdNode *f, DdNode **vector));
-EXTERN DdNode * Cudd_addGeneralVectorCompose ARGS((DdManager *dd, DdNode *f, DdNode **vectorOn, DdNode **vectorOff));
-EXTERN DdNode * Cudd_addNonSimCompose ARGS((DdManager *dd, DdNode *f, DdNode **vector));
-EXTERN DdNode * Cudd_bddVectorCompose ARGS((DdManager *dd, DdNode *f, DdNode **vector));
-EXTERN int Cudd_bddApproxConjDecomp ARGS((DdManager *dd, DdNode *f, DdNode ***conjuncts));
-EXTERN int Cudd_bddApproxDisjDecomp ARGS((DdManager *dd, DdNode *f, DdNode ***disjuncts));
-EXTERN int Cudd_bddIterConjDecomp ARGS((DdManager *dd, DdNode *f, DdNode ***conjuncts));
-EXTERN int Cudd_bddIterDisjDecomp ARGS((DdManager *dd, DdNode *f, DdNode ***disjuncts));
-EXTERN int Cudd_bddGenConjDecomp ARGS((DdManager *dd, DdNode *f, DdNode ***conjuncts));
-EXTERN int Cudd_bddGenDisjDecomp ARGS((DdManager *dd, DdNode *f, DdNode ***disjuncts));
-EXTERN int Cudd_bddVarConjDecomp ARGS((DdManager *dd, DdNode * f, DdNode ***conjuncts));
-EXTERN int Cudd_bddVarDisjDecomp ARGS((DdManager *dd, DdNode * f, DdNode ***disjuncts));
-EXTERN DdNode * Cudd_FindEssential ARGS((DdManager *dd, DdNode *f));
-EXTERN int Cudd_bddIsVarEssential ARGS((DdManager *manager, DdNode *f, int id, int phase));
-EXTERN int Cudd_DumpBlif ARGS((DdManager *dd, int n, DdNode **f, char **inames, char **onames, char *mname, FILE *fp));
-EXTERN int Cudd_DumpBlifBody ARGS((DdManager *dd, int n, DdNode **f, char **inames, char **onames, FILE *fp));
-EXTERN int Cudd_DumpDot ARGS((DdManager *dd, int n, DdNode **f, char **inames, char **onames, FILE *fp));
-EXTERN int Cudd_DumpDaVinci ARGS((DdManager *dd, int n, DdNode **f, char **inames, char **onames, FILE *fp));
-EXTERN int Cudd_DumpDDcal ARGS((DdManager *dd, int n, DdNode **f, char **inames, char **onames, FILE *fp));
-EXTERN int Cudd_DumpFactoredForm ARGS((DdManager *dd, int n, DdNode **f, char **inames, char **onames, FILE *fp));
-EXTERN DdNode * Cudd_bddConstrain ARGS((DdManager *dd, DdNode *f, DdNode *c));
-EXTERN DdNode * Cudd_bddRestrict ARGS((DdManager *dd, DdNode *f, DdNode *c));
-EXTERN DdNode * Cudd_addConstrain ARGS((DdManager *dd, DdNode *f, DdNode *c));
-EXTERN DdNode ** Cudd_bddConstrainDecomp ARGS((DdManager *dd, DdNode *f));
-EXTERN DdNode * Cudd_addRestrict ARGS((DdManager *dd, DdNode *f, DdNode *c));
-EXTERN DdNode ** Cudd_bddCharToVect ARGS((DdManager *dd, DdNode *f));
-EXTERN DdNode * Cudd_bddLICompaction ARGS((DdManager *dd, DdNode *f, DdNode *c));
-EXTERN DdNode * Cudd_bddSqueeze ARGS((DdManager *dd, DdNode *l, DdNode *u));
-EXTERN DdNode * Cudd_bddMinimize ARGS((DdManager *dd, DdNode *f, DdNode *c));
-EXTERN DdNode * Cudd_SubsetCompress ARGS((DdManager *dd, DdNode *f, int nvars, int threshold));
-EXTERN DdNode * Cudd_SupersetCompress ARGS((DdManager *dd, DdNode *f, int nvars, int threshold));
-EXTERN MtrNode * Cudd_MakeTreeNode ARGS((DdManager *dd, unsigned int low, unsigned int size, unsigned int type));
-EXTERN int Cudd_addHarwell ARGS((FILE *fp, DdManager *dd, DdNode **E, DdNode ***x, DdNode ***y, DdNode ***xn, DdNode ***yn_, int *nx, int *ny, int *m, int *n, int bx, int sx, int by, int sy, int pr));
-EXTERN DdManager * Cudd_Init ARGS((unsigned int numVars, unsigned int numVarsZ, unsigned int numSlots, unsigned int cacheSize, unsigned long maxMemory));
-EXTERN void Cudd_Quit ARGS((DdManager *unique));
-EXTERN int Cudd_PrintLinear ARGS((DdManager *table));
-EXTERN int Cudd_ReadLinear ARGS((DdManager *table, int x, int y));
-EXTERN DdNode * Cudd_bddLiteralSetIntersection ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode * Cudd_addMatrixMultiply ARGS((DdManager *dd, DdNode *A, DdNode *B, DdNode **z, int nz));
-EXTERN DdNode * Cudd_addTimesPlus ARGS((DdManager *dd, DdNode *A, DdNode *B, DdNode **z, int nz));
-EXTERN DdNode * Cudd_addTriangle ARGS((DdManager *dd, DdNode *f, DdNode *g, DdNode **z, int nz));
-EXTERN DdNode * Cudd_addOuterSum ARGS((DdManager *dd, DdNode *M, DdNode *r, DdNode *c));
-EXTERN DdNode * Cudd_PrioritySelect ARGS((DdManager *dd, DdNode *R, DdNode **x, DdNode **y, DdNode **z, DdNode *Pi, int n, DdNode * (*)(DdManager *, int, DdNode **, DdNode **, DdNode **)));
-EXTERN DdNode * Cudd_Xgty ARGS((DdManager *dd, int N, DdNode **z, DdNode **x, DdNode **y));
-EXTERN DdNode * Cudd_Xeqy ARGS((DdManager *dd, int N, DdNode **x, DdNode **y));
-EXTERN DdNode * Cudd_addXeqy ARGS((DdManager *dd, int N, DdNode **x, DdNode **y));
-EXTERN DdNode * Cudd_Dxygtdxz ARGS((DdManager *dd, int N, DdNode **x, DdNode **y, DdNode **z));
-EXTERN DdNode * Cudd_Dxygtdyz ARGS((DdManager *dd, int N, DdNode **x, DdNode **y, DdNode **z));
-EXTERN DdNode * Cudd_CProjection ARGS((DdManager *dd, DdNode *R, DdNode *Y));
-EXTERN DdNode * Cudd_addHamming ARGS((DdManager *dd, DdNode **xVars, DdNode **yVars, int nVars));
-EXTERN int Cudd_MinHammingDist ARGS((DdManager *dd, DdNode *f, int *minterm, int upperBound));
-EXTERN DdNode * Cudd_bddClosestCube ARGS((DdManager *dd, DdNode * f, DdNode *g, int *distance));
-EXTERN int Cudd_addRead ARGS((FILE *fp, DdManager *dd, DdNode **E, DdNode ***x, DdNode ***y, DdNode ***xn, DdNode ***yn_, int *nx, int *ny, int *m, int *n, int bx, int sx, int by, int sy));
-EXTERN int Cudd_bddRead ARGS((FILE *fp, DdManager *dd, DdNode **E, DdNode ***x, DdNode ***y, int *nx, int *ny, int *m, int *n, int bx, int sx, int by, int sy));
-EXTERN void Cudd_Ref ARGS((DdNode *n));
-EXTERN void Cudd_RecursiveDeref ARGS((DdManager *table, DdNode *n));
-EXTERN void Cudd_IterDerefBdd ARGS((DdManager *table, DdNode *n));
-EXTERN void Cudd_DelayedDerefBdd ARGS((DdManager * table, DdNode * n));
-EXTERN void Cudd_RecursiveDerefZdd ARGS((DdManager *table, DdNode *n));
-EXTERN void Cudd_Deref ARGS((DdNode *node));
-EXTERN int Cudd_CheckZeroRef ARGS((DdManager *manager));
-EXTERN int Cudd_ReduceHeap ARGS((DdManager *table, Cudd_ReorderingType heuristic, int minsize));
-EXTERN int Cudd_ShuffleHeap ARGS((DdManager *table, int *permutation));
-EXTERN DdNode * Cudd_Eval ARGS((DdManager *dd, DdNode *f, int *inputs));
-EXTERN DdNode * Cudd_ShortestPath ARGS((DdManager *manager, DdNode *f, int *weight, int *support, int *length));
-EXTERN DdNode * Cudd_LargestCube ARGS((DdManager *manager, DdNode *f, int *length));
-EXTERN int Cudd_ShortestLength ARGS((DdManager *manager, DdNode *f, int *weight));
-EXTERN DdNode * Cudd_Decreasing ARGS((DdManager *dd, DdNode *f, int i));
-EXTERN DdNode * Cudd_Increasing ARGS((DdManager *dd, DdNode *f, int i));
-EXTERN int Cudd_EquivDC ARGS((DdManager *dd, DdNode *F, DdNode *G, DdNode *D));
-EXTERN int Cudd_bddLeqUnless ARGS((DdManager *dd, DdNode *f, DdNode *g, DdNode *D));
-EXTERN int Cudd_EqualSupNorm ARGS((DdManager *dd, DdNode *f, DdNode *g, CUDD_VALUE_TYPE tolerance, int pr));
-EXTERN DdNode * Cudd_bddMakePrime ARGS ((DdManager *dd, DdNode *cube, DdNode *f));
-EXTERN double * Cudd_CofMinterm ARGS((DdManager *dd, DdNode *node));
-EXTERN DdNode * Cudd_SolveEqn ARGS((DdManager * bdd, DdNode *F, DdNode *Y, DdNode **G, int **yIndex, int n));
-EXTERN DdNode * Cudd_VerifySol ARGS((DdManager * bdd, DdNode *F, DdNode **G, int *yIndex, int n));
-EXTERN DdNode * Cudd_SplitSet ARGS((DdManager *manager, DdNode *S, DdNode **xVars, int n, double m));
-EXTERN DdNode * Cudd_SubsetHeavyBranch ARGS((DdManager *dd, DdNode *f, int numVars, int threshold));
-EXTERN DdNode * Cudd_SupersetHeavyBranch ARGS((DdManager *dd, DdNode *f, int numVars, int threshold));
-EXTERN DdNode * Cudd_SubsetShortPaths ARGS((DdManager *dd, DdNode *f, int numVars, int threshold, int hardlimit));
-EXTERN DdNode * Cudd_SupersetShortPaths ARGS((DdManager *dd, DdNode *f, int numVars, int threshold, int hardlimit));
-EXTERN void Cudd_SymmProfile ARGS((DdManager *table, int lower, int upper));
-EXTERN unsigned int Cudd_Prime ARGS((unsigned int p));
-EXTERN int Cudd_PrintMinterm ARGS((DdManager *manager, DdNode *node));
-EXTERN int Cudd_bddPrintCover ARGS((DdManager *dd, DdNode *l, DdNode *u));
-EXTERN int Cudd_PrintDebug ARGS((DdManager *dd, DdNode *f, int n, int pr));
-EXTERN int Cudd_DagSize ARGS((DdNode *node));
-EXTERN int Cudd_EstimateCofactor ARGS((DdManager *dd, DdNode * node, int i, int phase));
-EXTERN int Cudd_EstimateCofactorSimple ARGS((DdNode * node, int i));
-EXTERN int Cudd_SharingSize ARGS((DdNode **nodeArray, int n));
-EXTERN double Cudd_CountMinterm ARGS((DdManager *manager, DdNode *node, int nvars));
-EXTERN int Cudd_EpdCountMinterm ARGS((DdManager *manager, DdNode *node, int nvars, EpDouble *epd));
-EXTERN double Cudd_CountPath ARGS((DdNode *node));
-EXTERN double Cudd_CountPathsToNonZero ARGS((DdNode *node));
-EXTERN DdNode * Cudd_Support ARGS((DdManager *dd, DdNode *f));
-EXTERN int * Cudd_SupportIndex ARGS((DdManager *dd, DdNode *f));
-EXTERN int Cudd_SupportSize ARGS((DdManager *dd, DdNode *f));
-EXTERN DdNode * Cudd_VectorSupport ARGS((DdManager *dd, DdNode **F, int n));
-EXTERN int * Cudd_VectorSupportIndex ARGS((DdManager *dd, DdNode **F, int n));
-EXTERN int Cudd_VectorSupportSize ARGS((DdManager *dd, DdNode **F, int n));
-EXTERN int Cudd_ClassifySupport ARGS((DdManager *dd, DdNode *f, DdNode *g, DdNode **common, DdNode **onlyF, DdNode **onlyG));
-EXTERN int Cudd_CountLeaves ARGS((DdNode *node));
-EXTERN int Cudd_bddPickOneCube ARGS((DdManager *ddm, DdNode *node, char *string));
-EXTERN DdNode * Cudd_bddPickOneMinterm ARGS((DdManager *dd, DdNode *f, DdNode **vars, int n));
-EXTERN DdNode ** Cudd_bddPickArbitraryMinterms ARGS((DdManager *dd, DdNode *f, DdNode **vars, int n, int k));
-EXTERN DdNode * Cudd_SubsetWithMaskVars ARGS((DdManager *dd, DdNode *f, DdNode **vars, int nvars, DdNode **maskVars, int mvars));
-EXTERN DdGen * Cudd_FirstCube ARGS((DdManager *dd, DdNode *f, int **cube, CUDD_VALUE_TYPE *value));
-EXTERN int Cudd_NextCube ARGS((DdGen *gen, int **cube, CUDD_VALUE_TYPE *value));
-EXTERN DdNode * Cudd_bddComputeCube ARGS((DdManager *dd, DdNode **vars, int *phase, int n));
-EXTERN DdNode * Cudd_addComputeCube ARGS((DdManager *dd, DdNode **vars, int *phase, int n));
-EXTERN DdNode * Cudd_CubeArrayToBdd ARGS((DdManager *dd, int *array));
-EXTERN int Cudd_BddToCubeArray ARGS((DdManager *dd, DdNode *cube, int *array));
-EXTERN DdGen * Cudd_FirstNode ARGS((DdManager *dd, DdNode *f, DdNode **node));
-EXTERN int Cudd_NextNode ARGS((DdGen *gen, DdNode **node));
-EXTERN int Cudd_GenFree ARGS((DdGen *gen));
-EXTERN int Cudd_IsGenEmpty ARGS((DdGen *gen));
-EXTERN DdNode * Cudd_IndicesToCube ARGS((DdManager *dd, int *array, int n));
-EXTERN void Cudd_PrintVersion ARGS((FILE *fp));
-EXTERN double Cudd_AverageDistance ARGS((DdManager *dd));
-EXTERN long Cudd_Random ARGS(());
-EXTERN void Cudd_Srandom ARGS((long seed));
-EXTERN double Cudd_Density ARGS((DdManager *dd, DdNode *f, int nvars));
-EXTERN void Cudd_OutOfMem ARGS((long size));
-EXTERN int Cudd_zddCount ARGS((DdManager *zdd, DdNode *P));
-EXTERN double Cudd_zddCountDouble ARGS((DdManager *zdd, DdNode *P));
-EXTERN DdNode    * Cudd_zddProduct ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode    * Cudd_zddUnateProduct ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode    * Cudd_zddWeakDiv ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode    * Cudd_zddDivide ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode    * Cudd_zddWeakDivF ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode    * Cudd_zddDivideF ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode    * Cudd_zddComplement ARGS((DdManager *dd, DdNode *node));
-EXTERN MtrNode * Cudd_MakeZddTreeNode ARGS((DdManager *dd, unsigned int low, unsigned int size, unsigned int type));
-EXTERN DdNode    * Cudd_zddIsop ARGS((DdManager *dd, DdNode *L, DdNode *U, DdNode **zdd_I));
-EXTERN DdNode    * Cudd_bddIsop ARGS((DdManager *dd, DdNode *L, DdNode *U));
-EXTERN DdNode    * Cudd_MakeBddFromZddCover ARGS((DdManager *dd, DdNode *node));
-EXTERN int Cudd_zddDagSize ARGS((DdNode *p_node));
-EXTERN double Cudd_zddCountMinterm ARGS((DdManager *zdd, DdNode *node, int path));
-EXTERN void Cudd_zddPrintSubtable ARGS((DdManager *table));
-EXTERN DdNode * Cudd_zddPortFromBdd ARGS((DdManager *dd, DdNode *B));
-EXTERN DdNode * Cudd_zddPortToBdd ARGS((DdManager *dd, DdNode *f));
-EXTERN int Cudd_zddReduceHeap ARGS((DdManager *table, Cudd_ReorderingType heuristic, int minsize));
-EXTERN int Cudd_zddShuffleHeap ARGS((DdManager *table, int *permutation));
-EXTERN DdNode * Cudd_zddIte ARGS((DdManager *dd, DdNode *f, DdNode *g, DdNode *h));
-EXTERN DdNode * Cudd_zddUnion ARGS((DdManager *dd, DdNode *P, DdNode *Q));
-EXTERN DdNode * Cudd_zddIntersect ARGS((DdManager *dd, DdNode *P, DdNode *Q));
-EXTERN DdNode * Cudd_zddDiff ARGS((DdManager *dd, DdNode *P, DdNode *Q));
-EXTERN DdNode * Cudd_zddDiffConst ARGS((DdManager *zdd, DdNode *P, DdNode *Q));
-EXTERN DdNode * Cudd_zddSubset1 ARGS((DdManager *dd, DdNode *P, int var));
-EXTERN DdNode * Cudd_zddSubset0 ARGS((DdManager *dd, DdNode *P, int var));
-EXTERN DdNode * Cudd_zddChange ARGS((DdManager *dd, DdNode *P, int var));
-EXTERN void Cudd_zddSymmProfile ARGS((DdManager *table, int lower, int upper));
-EXTERN int Cudd_zddPrintMinterm ARGS((DdManager *zdd, DdNode *node));
-EXTERN int Cudd_zddPrintCover ARGS((DdManager *zdd, DdNode *node));
-EXTERN int Cudd_zddPrintDebug ARGS((DdManager *zdd, DdNode *f, int n, int pr));
-EXTERN DdGen * Cudd_zddFirstPath ARGS((DdManager *zdd, DdNode *f, int **path));
-EXTERN int Cudd_zddNextPath ARGS((DdGen *gen, int **path));
-EXTERN char * Cudd_zddCoverPathToString ARGS((DdManager *zdd, int *path, char *str));
-EXTERN int Cudd_zddDumpDot ARGS((DdManager *dd, int n, DdNode **f, char **inames, char **onames, FILE *fp));
-EXTERN int Cudd_bddSetPiVar ARGS((DdManager *dd, int index));
-EXTERN int Cudd_bddSetPsVar ARGS((DdManager *dd, int index));
-EXTERN int Cudd_bddSetNsVar ARGS((DdManager *dd, int index));
-EXTERN int Cudd_bddIsPiVar ARGS((DdManager *dd, int index));
-EXTERN int Cudd_bddIsPsVar ARGS((DdManager *dd, int index));
-EXTERN int Cudd_bddIsNsVar ARGS((DdManager *dd, int index));
-EXTERN int Cudd_bddSetPairIndex ARGS((DdManager *dd, int index, int pairIndex));
-EXTERN int Cudd_bddReadPairIndex ARGS((DdManager *dd, int index));
-EXTERN int Cudd_bddSetVarToBeGrouped ARGS((DdManager *dd, int index));
-EXTERN int Cudd_bddSetVarHardGroup ARGS((DdManager *dd, int index));
-EXTERN int Cudd_bddResetVarToBeGrouped ARGS((DdManager *dd, int index));
-EXTERN int Cudd_bddIsVarToBeGrouped ARGS((DdManager *dd, int index));
-EXTERN int Cudd_bddSetVarToBeUngrouped ARGS((DdManager *dd, int index));
-EXTERN int Cudd_bddIsVarToBeUngrouped ARGS((DdManager *dd, int index));
-EXTERN int Cudd_bddIsVarHardGroup ARGS((DdManager *dd, int index));
-
-/**AutomaticEnd***************************************************************/
-
-#endif /* _CUDD */
diff --git a/src/bdd/cudd/cudd.make b/src/bdd/cudd/cudd.make
deleted file mode 100644
index 7cb342a2..00000000
--- a/src/bdd/cudd/cudd.make
+++ /dev/null
@@ -1,42 +0,0 @@
-CSRC += cuddAPI.c cuddAddAbs.c cuddAddApply.c cuddAddFind.c cuddAddIte.c \
-    cuddAddInv.c cuddAddNeg.c cuddAddWalsh.c cuddAndAbs.c \
-    cuddAnneal.c cuddApa.c cuddApprox.c cuddBddAbs.c cuddBddCorr.c\
-    cuddBddIte.c cuddBridge.c cuddCache.c cuddCheck.c cuddClip.c \
-    cuddCof.c cuddCompose.c cuddDecomp.c cuddEssent.c cuddExact.c \
-    cuddExport.c cuddGenCof.c cuddGenetic.c \
-    cuddGroup.c cuddHarwell.c cuddInit.c cuddInteract.c \
-    cuddLCache.c cuddLevelQ.c \
-    cuddLinear.c cuddLiteral.c cuddMatMult.c cuddPriority.c \
-    cuddRead.c cuddRef.c cuddReorder.c cuddSat.c cuddSign.c \
-    cuddSolve.c cuddSplit.c cuddSubsetHB.c cuddSubsetSP.c cuddSymmetry.c \
-    cuddTable.c cuddUtil.c cuddWindow.c cuddZddCount.c cuddZddFuncs.c \
-    cuddZddGroup.c cuddZddIsop.c cuddZddLin.c cuddZddMisc.c cuddZddPort.c \
-    cuddZddReord.c cuddZddSetop.c cuddZddSymm.c cuddZddUtil.c 
-
-HEADERS += cudd.h cuddInt.h
-MISC += testcudd.c r7x8.1.mat doc/cudd.ps doc/cuddAllAbs.html doc/cuddAllDet.html \
-    doc/cuddExtAbs.html doc/cuddExtDet.html doc/cuddIntro.css \
-    doc/cuddIntro.html doc/footnode.html doc/img1.gif doc/img2.gif \
-    doc/img3.gif doc/img4.gif doc/img5.gif doc/index.html \
-    doc/node1.html doc/node2.html doc/node3.html doc/node4.html \
-    doc/node5.html doc/node6.html doc/node7.html doc/node8.html \
-    doc/icons/change_begin.gif \
-    doc/icons/change_delete.gif \
-    doc/icons/change_end.gif \
-    doc/icons/contents_motif.gif \
-    doc/icons/cross_ref_motif.gif \
-    doc/icons/foot_motif.gif \
-    doc/icons/image.gif \
-    doc/icons/index_motif.gif \
-    doc/icons/next_group_motif.gif \
-    doc/icons/next_group_motif_gr.gif \
-    doc/icons/next_motif.gif \
-    doc/icons/next_motif_gr.gif \
-    doc/icons/previous_group_motif.gif \
-    doc/icons/previous_group_motif_gr.gif \
-    doc/icons/previous_motif.gif \
-    doc/icons/previous_motif_gr.gif \
-    doc/icons/up_motif.gif \
-    doc/icons/up_motif_gr.gif
-
-DEPENDENCYFILES = $(CSRC)
diff --git a/src/bdd/cudd/cuddAPI.c b/src/bdd/cudd/cuddAPI.c
deleted file mode 100644
index a16b82cf..00000000
--- a/src/bdd/cudd/cuddAPI.c
+++ /dev/null
@@ -1,4409 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddAPI.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Application interface functions.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_addNewVar()
-        <li> Cudd_addNewVarAtLevel()
-        <li> Cudd_bddNewVar()
-        <li> Cudd_bddNewVarAtLevel()
-        <li> Cudd_addIthVar()
-        <li> Cudd_bddIthVar()
-        <li> Cudd_zddIthVar()
-        <li> Cudd_zddVarsFromBddVars()
-        <li> Cudd_addConst()
-        <li> Cudd_IsNonConstant()
-        <li> Cudd_AutodynEnable()
-        <li> Cudd_AutodynDisable()
-        <li> Cudd_ReorderingStatus()
-        <li> Cudd_AutodynEnableZdd()
-        <li> Cudd_AutodynDisableZdd()
-        <li> Cudd_ReorderingStatusZdd()
-        <li> Cudd_zddRealignmentEnabled()
-        <li> Cudd_zddRealignEnable()
-        <li> Cudd_zddRealignDisable()
-        <li> Cudd_bddRealignmentEnabled()
-        <li> Cudd_bddRealignEnable()
-        <li> Cudd_bddRealignDisable()
-        <li> Cudd_ReadOne()
-        <li> Cudd_ReadZddOne()
-        <li> Cudd_ReadZero()
-        <li> Cudd_ReadLogicZero()
-        <li> Cudd_ReadPlusInfinity()
-        <li> Cudd_ReadMinusInfinity()
-        <li> Cudd_ReadBackground()
-        <li> Cudd_SetBackground()
-        <li> Cudd_ReadCacheSlots()
-        <li> Cudd_ReadCacheUsedSlots()
-        <li> Cudd_ReadCacheLookUps()
-        <li> Cudd_ReadCacheHits()
-        <li> Cudd_ReadMinHit()
-        <li> Cudd_SetMinHit()
-        <li> Cudd_ReadLooseUpTo()
-        <li> Cudd_SetLooseUpTo()
-        <li> Cudd_ReadMaxCache()
-        <li> Cudd_ReadMaxCacheHard()
-        <li> Cudd_SetMaxCacheHard()
-        <li> Cudd_ReadSize()
-        <li> Cudd_ReadSlots()
-        <li> Cudd_ReadUsedSlots()
-        <li> Cudd_ExpectedUsedSlots()
-        <li> Cudd_ReadKeys()
-        <li> Cudd_ReadDead()
-        <li> Cudd_ReadMinDead()
-        <li> Cudd_ReadReorderings()
-        <li> Cudd_ReadReorderingTime()
-        <li> Cudd_ReadGarbageCollections()
-        <li> Cudd_ReadGarbageCollectionTime()
-        <li> Cudd_ReadNodesFreed()
-        <li> Cudd_ReadNodesDropped()
-        <li> Cudd_ReadUniqueLookUps()
-        <li> Cudd_ReadUniqueLinks()
-        <li> Cudd_ReadSiftMaxVar()
-        <li> Cudd_SetSiftMaxVar()
-        <li> Cudd_ReadMaxGrowth()
-        <li> Cudd_SetMaxGrowth()
-        <li> Cudd_ReadMaxGrowthAlternate()
-        <li> Cudd_SetMaxGrowthAlternate()
-        <li> Cudd_ReadReorderingCycle()
-        <li> Cudd_SetReorderingCycle()
-        <li> Cudd_ReadTree()
-        <li> Cudd_SetTree()
-        <li> Cudd_FreeTree()
-        <li> Cudd_ReadZddTree()
-        <li> Cudd_SetZddTree()
-        <li> Cudd_FreeZddTree()
-                <li> Cudd_NodeReadIndex()
-        <li> Cudd_ReadPerm()
-        <li> Cudd_ReadInvPerm()
-        <li> Cudd_ReadVars()
-        <li> Cudd_ReadEpsilon()
-        <li> Cudd_SetEpsilon()
-        <li> Cudd_ReadGroupCheck()
-        <li> Cudd_SetGroupcheck()
-        <li> Cudd_GarbageCollectionEnabled()
-        <li> Cudd_EnableGarbageCollection()
-        <li> Cudd_DisableGarbageCollection()
-        <li> Cudd_DeadAreCounted()
-        <li> Cudd_TurnOnCountDead()
-        <li> Cudd_TurnOffCountDead()
-        <li> Cudd_ReadRecomb()
-        <li> Cudd_SetRecomb()
-        <li> Cudd_ReadSymmviolation()
-        <li> Cudd_SetSymmviolation()
-        <li> Cudd_ReadArcviolation()
-        <li> Cudd_SetArcviolation()
-        <li> Cudd_ReadPopulationSize()
-        <li> Cudd_SetPopulationSize()
-        <li> Cudd_ReadNumberXovers()
-        <li> Cudd_SetNumberXovers()
-        <li> Cudd_ReadMemoryInUse()
-        <li> Cudd_PrintInfo()
-        <li> Cudd_ReadPeakNodeCount()
-        <li> Cudd_ReadPeakLiveNodeCount()
-        <li> Cudd_ReadNodeCount()
-        <li> Cudd_zddReadNodeCount()
-        <li> Cudd_AddHook()
-        <li> Cudd_RemoveHook()
-        <li> Cudd_IsInHook()
-        <li> Cudd_StdPreReordHook()
-        <li> Cudd_StdPostReordHook()
-        <li> Cudd_EnableReorderingReporting()
-        <li> Cudd_DisableReorderingReporting()
-        <li> Cudd_ReorderingReporting()
-        <li> Cudd_ReadErrorCode()
-        <li> Cudd_ClearErrorCode()
-        <li> Cudd_ReadStdout()
-        <li> Cudd_SetStdout()
-        <li> Cudd_ReadStderr()
-        <li> Cudd_SetStderr()
-        <li> Cudd_ReadNextReordering()
-        <li> Cudd_SetNextReordering()
-        <li> Cudd_ReadSwapSteps()
-        <li> Cudd_ReadMaxLive()
-        <li> Cudd_SetMaxLive()
-        <li> Cudd_ReadMaxMemory()
-        <li> Cudd_SetMaxMemory()
-        <li> Cudd_bddBindVar()
-        <li> Cudd_bddUnbindVar()
-        <li> Cudd_bddVarIsBound()
-        <li> Cudd_bddSetPiVar()
-        <li> Cudd_bddSetPsVar()
-        <li> Cudd_bddSetNsVar()
-        <li> Cudd_bddIsPiVar()
-        <li> Cudd_bddIsPsVar()
-        <li> Cudd_bddIsNsVar()
-        <li> Cudd_bddSetPairIndex()
-        <li> Cudd_bddReadPairIndex()
-        <li> Cudd_bddSetVarToBeGrouped()
-        <li> Cudd_bddSetVarHardGroup()
-        <li> Cudd_bddResetVarToBeGrouped()
-        <li> Cudd_bddIsVarToBeGrouped()
-        <li> Cudd_bddSetVarToBeUngrouped()
-        <li> Cudd_bddIsVarToBeUngrouped()
-        <li> Cudd_bddIsVarHardGroup()
-        </ul>
-          Static procedures included in this module:
-        <ul>
-        <li> fixVarTree()
-        </ul>]
-
-  SeeAlso     []
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddAPI.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static void fixVarTree ARGS((MtrNode *treenode, int *perm, int size));
-static int addMultiplicityGroups ARGS((DdManager *dd, MtrNode *treenode, int multiplicity, char *vmask, char *lmask));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns a new ADD variable.]
-
-  Description [Creates a new ADD variable.  The new variable has an
-  index equal to the largest previous index plus 1.  Returns a
-  pointer to the new variable if successful; NULL otherwise.
-  An ADD variable differs from a BDD variable because it points to the
-  arithmetic zero, instead of having a complement pointer to 1. ]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddNewVar Cudd_addIthVar Cudd_addConst
-  Cudd_addNewVarAtLevel]
-
-******************************************************************************/
-DdNode *
-Cudd_addNewVar(
-  DdManager * dd)
-{
-    DdNode *res;
-
-    if ((unsigned int) dd->size >= CUDD_MAXINDEX - 1) return(NULL);
-    do {
-    dd->reordered = 0;
-    res = cuddUniqueInter(dd,dd->size,DD_ONE(dd),DD_ZERO(dd));
-    } while (dd->reordered == 1);
-
-    return(res);
-
-} /* end of Cudd_addNewVar */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns a new ADD variable at a specified level.]
-
-  Description [Creates a new ADD variable.  The new variable has an
-  index equal to the largest previous index plus 1 and is positioned at
-  the specified level in the order.  Returns a pointer to the new
-  variable if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addNewVar Cudd_addIthVar Cudd_bddNewVarAtLevel]
-
-******************************************************************************/
-DdNode *
-Cudd_addNewVarAtLevel(
-  DdManager * dd,
-  int  level)
-{
-    DdNode *res;
-
-    if ((unsigned int) dd->size >= CUDD_MAXINDEX - 1) return(NULL);
-    if (level >= dd->size) return(Cudd_addIthVar(dd,level));
-    if (!cuddInsertSubtables(dd,1,level)) return(NULL);
-    do {
-    dd->reordered = 0;
-    res = cuddUniqueInter(dd,dd->size - 1,DD_ONE(dd),DD_ZERO(dd));
-    } while (dd->reordered == 1);
-
-    return(res);
-
-} /* end of Cudd_addNewVarAtLevel */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns a new BDD variable.]
-
-  Description [Creates a new BDD variable.  The new variable has an
-  index equal to the largest previous index plus 1.  Returns a
-  pointer to the new variable if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addNewVar Cudd_bddIthVar Cudd_bddNewVarAtLevel]
-
-******************************************************************************/
-DdNode *
-Cudd_bddNewVar(
-  DdManager * dd)
-{
-    DdNode *res;
-
-    if ((unsigned int) dd->size >= CUDD_MAXINDEX - 1) return(NULL);
-    res = cuddUniqueInter(dd,dd->size,dd->one,Cudd_Not(dd->one));
-
-    return(res);
-
-} /* end of Cudd_bddNewVar */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns a new BDD variable at a specified level.]
-
-  Description [Creates a new BDD variable.  The new variable has an
-  index equal to the largest previous index plus 1 and is positioned at
-  the specified level in the order.  Returns a pointer to the new
-  variable if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddNewVar Cudd_bddIthVar Cudd_addNewVarAtLevel]
-
-******************************************************************************/
-DdNode *
-Cudd_bddNewVarAtLevel(
-  DdManager * dd,
-  int  level)
-{
-    DdNode *res;
-
-    if ((unsigned int) dd->size >= CUDD_MAXINDEX - 1) return(NULL);
-    if (level >= dd->size) return(Cudd_bddIthVar(dd,level));
-    if (!cuddInsertSubtables(dd,1,level)) return(NULL);
-    res = dd->vars[dd->size - 1];
-
-    return(res);
-
-} /* end of Cudd_bddNewVarAtLevel */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the ADD variable with index i.]
-
-  Description [Retrieves the ADD variable with index i if it already
-  exists, or creates a new ADD variable.  Returns a pointer to the
-  variable if successful; NULL otherwise.  An ADD variable differs from
-  a BDD variable because it points to the arithmetic zero, instead of
-  having a complement pointer to 1. ]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addNewVar Cudd_bddIthVar Cudd_addConst
-  Cudd_addNewVarAtLevel]
-
-******************************************************************************/
-DdNode *
-Cudd_addIthVar(
-  DdManager * dd,
-  int  i)
-{
-    DdNode *res;
-
-    if ((unsigned int) i >= CUDD_MAXINDEX - 1) return(NULL);
-    do {
-    dd->reordered = 0;
-    res = cuddUniqueInter(dd,i,DD_ONE(dd),DD_ZERO(dd));
-    } while (dd->reordered == 1);
-
-    return(res);
-
-} /* end of Cudd_addIthVar */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the BDD variable with index i.]
-
-  Description [Retrieves the BDD variable with index i if it already
-  exists, or creates a new BDD variable.  Returns a pointer to the
-  variable if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddNewVar Cudd_addIthVar Cudd_bddNewVarAtLevel
-  Cudd_ReadVars]
-
-******************************************************************************/
-DdNode *
-Cudd_bddIthVar(
-  DdManager * dd,
-  int  i)
-{
-    DdNode *res;
-
-    if ((unsigned int) i >= CUDD_MAXINDEX - 1) return(NULL);
-    if (i < dd->size) {
-    res = dd->vars[i];
-    } else {
-    res = cuddUniqueInter(dd,i,dd->one,Cudd_Not(dd->one));
-    }
-
-    return(res);
-
-} /* end of Cudd_bddIthVar */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the ZDD variable with index i.]
-
-  Description [Retrieves the ZDD variable with index i if it already
-  exists, or creates a new ZDD variable.  Returns a pointer to the
-  variable if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddIthVar Cudd_addIthVar]
-
-******************************************************************************/
-DdNode *
-Cudd_zddIthVar(
-  DdManager * dd,
-  int  i)
-{
-    DdNode *res;
-    DdNode *zvar;
-    DdNode *lower;
-    int j;
-
-    if ((unsigned int) i >= CUDD_MAXINDEX - 1) return(NULL);
-
-    /* The i-th variable function has the following structure:
-    ** at the level corresponding to index i there is a node whose "then"
-    ** child points to the universe, and whose "else" child points to zero.
-    ** Above that level there are nodes with identical children.
-    */
-
-    /* First we build the node at the level of index i. */
-    lower = (i < dd->sizeZ - 1) ? dd->univ[dd->permZ[i]+1] : DD_ONE(dd);
-    do {
-    dd->reordered = 0;
-    zvar = cuddUniqueInterZdd(dd, i, lower, DD_ZERO(dd));
-    } while (dd->reordered == 1);
-
-    if (zvar == NULL)
-    return(NULL);
-    cuddRef(zvar);
-
-    /* Now we add the "filler" nodes above the level of index i. */
-    for (j = dd->permZ[i] - 1; j >= 0; j--) {
-    do {
-        dd->reordered = 0;
-        res = cuddUniqueInterZdd(dd, dd->invpermZ[j], zvar, zvar);
-    } while (dd->reordered == 1);
-    if (res == NULL) {
-        Cudd_RecursiveDerefZdd(dd,zvar);
-        return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDerefZdd(dd,zvar);
-    zvar = res;
-    }
-    cuddDeref(zvar);
-    return(zvar);
-
-} /* end of Cudd_zddIthVar */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Creates one or more ZDD variables for each BDD variable.]
-
-  Description [Creates one or more ZDD variables for each BDD
-  variable.  If some ZDD variables already exist, only the missing
-  variables are created.  Parameter multiplicity allows the caller to
-  control how many variables are created for each BDD variable in
-  existence. For instance, if ZDDs are used to represent covers, two
-  ZDD variables are required for each BDD variable.  The order of the
-  BDD variables is transferred to the ZDD variables. If a variable
-  group tree exists for the BDD variables, a corresponding ZDD
-  variable group tree is created by expanding the BDD variable
-  tree. In any case, the ZDD variables derived from the same BDD
-  variable are merged in a ZDD variable group. If a ZDD variable group
-  tree exists, it is freed. Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddNewVar Cudd_bddIthVar Cudd_bddNewVarAtLevel]
-
-******************************************************************************/
-int
-Cudd_zddVarsFromBddVars(
-  DdManager * dd /* DD manager */,
-  int multiplicity /* how many ZDD variables are created for each BDD variable */)
-{
-    int res;
-    int i, j;
-    int allnew;
-    int *permutation;
-
-    if (multiplicity < 1) return(0);
-    allnew = dd->sizeZ == 0;
-    if (dd->size * multiplicity > dd->sizeZ) {
-    res = cuddResizeTableZdd(dd,dd->size * multiplicity - 1);
-    if (res == 0) return(0);
-    }
-    /* Impose the order of the BDD variables to the ZDD variables. */
-    if (allnew) {
-    for (i = 0; i < dd->size; i++) {
-        for (j = 0; j < multiplicity; j++) {
-        dd->permZ[i * multiplicity + j] =
-            dd->perm[i] * multiplicity + j;
-        dd->invpermZ[dd->permZ[i * multiplicity + j]] =
-            i * multiplicity + j;
-        }
-    }
-    for (i = 0; i < dd->sizeZ; i++) {
-        dd->univ[i]->index = dd->invpermZ[i];
-    }
-    } else {
-    permutation = ALLOC(int,dd->sizeZ);
-    if (permutation == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    for (i = 0; i < dd->size; i++) {
-        for (j = 0; j < multiplicity; j++) {
-        permutation[i * multiplicity + j] =
-            dd->invperm[i] * multiplicity + j;
-        }
-    }
-    for (i = dd->size * multiplicity; i < dd->sizeZ; i++) {
-        permutation[i] = i;
-    }
-    res = Cudd_zddShuffleHeap(dd, permutation);
-    FREE(permutation);
-    if (res == 0) return(0);
-    }
-    /* Copy and expand the variable group tree if it exists. */
-    if (dd->treeZ != NULL) {
-    Cudd_FreeZddTree(dd);
-    }
-    if (dd->tree != NULL) {
-    dd->treeZ = Mtr_CopyTree(dd->tree, multiplicity);
-    if (dd->treeZ == NULL) return(0);
-    } else if (multiplicity > 1) {
-    dd->treeZ = Mtr_InitGroupTree(0, dd->sizeZ);
-    if (dd->treeZ == NULL) return(0);
-    dd->treeZ->index = dd->invpermZ[0];
-    }
-    /* Create groups for the ZDD variables derived from the same BDD variable.
-    */
-    if (multiplicity > 1) {
-    char *vmask, *lmask;
-
-    vmask = ALLOC(char, dd->size);
-    if (vmask == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    lmask =  ALLOC(char, dd->size);
-    if (lmask == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    for (i = 0; i < dd->size; i++) {
-        vmask[i] = lmask[i] = 0;
-    }
-    res = addMultiplicityGroups(dd,dd->treeZ,multiplicity,vmask,lmask);
-    FREE(vmask);
-    FREE(lmask);
-    if (res == 0) return(0);
-    }
-    return(1);
-
-} /* end of Cudd_zddVarsFromBddVars */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the ADD for constant c.]
-
-  Description [Retrieves the ADD for constant c if it already
-  exists, or creates a new ADD.  Returns a pointer to the
-  ADD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addNewVar Cudd_addIthVar]
-
-******************************************************************************/
-DdNode *
-Cudd_addConst(
-  DdManager * dd,
-  CUDD_VALUE_TYPE  c)
-{
-    return(cuddUniqueConst(dd,c));
-
-} /* end of Cudd_addConst */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns 1 if a DD node is not constant.]
-
-  Description [Returns 1 if a DD node is not constant. This function is
-  useful to test the results of Cudd_bddIteConstant, Cudd_addIteConstant,
-  Cudd_addEvalConst. These results may be a special value signifying
-  non-constant. In the other cases the macro Cudd_IsConstant can be used.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_IsConstant Cudd_bddIteConstant Cudd_addIteConstant
-  Cudd_addEvalConst]
-
-******************************************************************************/
-int
-Cudd_IsNonConstant(
-  DdNode *f)
-{
-    return(f == DD_NON_CONSTANT || !Cudd_IsConstant(f));
-
-} /* end of Cudd_IsNonConstant */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Enables automatic dynamic reordering of BDDs and ADDs.]
-
-  Description [Enables automatic dynamic reordering of BDDs and
-  ADDs. Parameter method is used to determine the method used for
-  reordering. If CUDD_REORDER_SAME is passed, the method is
-  unchanged.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_AutodynDisable Cudd_ReorderingStatus
-  Cudd_AutodynEnableZdd]
-
-******************************************************************************/
-void
-Cudd_AutodynEnable(
-  DdManager * unique,
-  Cudd_ReorderingType  method)
-{
-    unique->autoDyn = 1;
-    if (method != CUDD_REORDER_SAME) {
-    unique->autoMethod = method;
-    }
-#ifndef DD_NO_DEATH_ROW
-    /* If reordering is enabled, using the death row causes too many
-    ** invocations. Hence, we shrink the death row to just one entry.
-    */
-    cuddClearDeathRow(unique);
-    unique->deathRowDepth = 1;
-    unique->deadMask = unique->deathRowDepth - 1;
-    if ((unsigned) unique->nextDead > unique->deadMask) {
-    unique->nextDead = 0;
-    }
-    unique->deathRow = REALLOC(DdNodePtr, unique->deathRow,
-    unique->deathRowDepth);
-#endif
-    return;
-
-} /* end of Cudd_AutodynEnable */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Disables automatic dynamic reordering.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_AutodynEnable Cudd_ReorderingStatus
-  Cudd_AutodynDisableZdd]
-
-******************************************************************************/
-void
-Cudd_AutodynDisable(
-  DdManager * unique)
-{
-    unique->autoDyn = 0;
-    return;
-
-} /* end of Cudd_AutodynDisable */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reports the status of automatic dynamic reordering of BDDs
-  and ADDs.]
-
-  Description [Reports the status of automatic dynamic reordering of
-  BDDs and ADDs. Parameter method is set to the reordering method
-  currently selected. Returns 1 if automatic reordering is enabled; 0
-  otherwise.]
-
-  SideEffects [Parameter method is set to the reordering method currently
-  selected.]
-
-  SeeAlso     [Cudd_AutodynEnable Cudd_AutodynDisable
-  Cudd_ReorderingStatusZdd]
-
-******************************************************************************/
-int
-Cudd_ReorderingStatus(
-  DdManager * unique,
-  Cudd_ReorderingType * method)
-{
-    *method = unique->autoMethod;
-    return(unique->autoDyn);
-
-} /* end of Cudd_ReorderingStatus */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Enables automatic dynamic reordering of ZDDs.]
-
-  Description [Enables automatic dynamic reordering of ZDDs. Parameter
-  method is used to determine the method used for reordering ZDDs. If
-  CUDD_REORDER_SAME is passed, the method is unchanged.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_AutodynDisableZdd Cudd_ReorderingStatusZdd
-  Cudd_AutodynEnable]
-
-******************************************************************************/
-void
-Cudd_AutodynEnableZdd(
-  DdManager * unique,
-  Cudd_ReorderingType method)
-{
-    unique->autoDynZ = 1;
-    if (method != CUDD_REORDER_SAME) {
-    unique->autoMethodZ = method;
-    }
-    return;
-
-} /* end of Cudd_AutodynEnableZdd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Disables automatic dynamic reordering of ZDDs.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_AutodynEnableZdd Cudd_ReorderingStatusZdd
-  Cudd_AutodynDisable]
-
-******************************************************************************/
-void
-Cudd_AutodynDisableZdd(
-  DdManager * unique)
-{
-    unique->autoDynZ = 0;
-    return;
-
-} /* end of Cudd_AutodynDisableZdd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reports the status of automatic dynamic reordering of ZDDs.]
-
-  Description [Reports the status of automatic dynamic reordering of
-  ZDDs. Parameter method is set to the ZDD reordering method currently
-  selected. Returns 1 if automatic reordering is enabled; 0
-  otherwise.]
-
-  SideEffects [Parameter method is set to the ZDD reordering method currently
-  selected.]
-
-  SeeAlso     [Cudd_AutodynEnableZdd Cudd_AutodynDisableZdd
-  Cudd_ReorderingStatus]
-
-******************************************************************************/
-int
-Cudd_ReorderingStatusZdd(
-  DdManager * unique,
-  Cudd_ReorderingType * method)
-{
-    *method = unique->autoMethodZ;
-    return(unique->autoDynZ);
-
-} /* end of Cudd_ReorderingStatusZdd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Tells whether the realignment of ZDD order to BDD order is
-  enabled.]
-
-  Description [Returns 1 if the realignment of ZDD order to BDD order is
-  enabled; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddRealignEnable Cudd_zddRealignDisable
-  Cudd_bddRealignEnable Cudd_bddRealignDisable]
-
-******************************************************************************/
-int
-Cudd_zddRealignmentEnabled(
-  DdManager * unique)
-{
-    return(unique->realign);
-
-} /* end of Cudd_zddRealignmentEnabled */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Enables realignment of ZDD order to BDD order.]
-
-  Description [Enables realignment of the ZDD variable order to the
-  BDD variable order after the BDDs and ADDs have been reordered.  The
-  number of ZDD variables must be a multiple of the number of BDD
-  variables for realignment to make sense. If this condition is not met,
-  Cudd_ReduceHeap will return 0. Let <code>M</code> be the
-  ratio of the two numbers. For the purpose of realignment, the ZDD
-  variables from <code>M*i</code> to <code>(M+1)*i-1</code> are
-  reagarded as corresponding to BDD variable <code>i</code>. Realignment
-  is initially disabled.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReduceHeap Cudd_zddRealignDisable
-  Cudd_zddRealignmentEnabled Cudd_bddRealignDisable
-  Cudd_bddRealignmentEnabled]
-
-******************************************************************************/
-void
-Cudd_zddRealignEnable(
-  DdManager * unique)
-{
-    unique->realign = 1;
-    return;
-
-} /* end of Cudd_zddRealignEnable */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Disables realignment of ZDD order to BDD order.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddRealignEnable Cudd_zddRealignmentEnabled
-  Cudd_bddRealignEnable Cudd_bddRealignmentEnabled]
-
-******************************************************************************/
-void
-Cudd_zddRealignDisable(
-  DdManager * unique)
-{
-    unique->realign = 0;
-    return;
-
-} /* end of Cudd_zddRealignDisable */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Tells whether the realignment of BDD order to ZDD order is
-  enabled.]
-
-  Description [Returns 1 if the realignment of BDD order to ZDD order is
-  enabled; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddRealignEnable Cudd_bddRealignDisable
-  Cudd_zddRealignEnable Cudd_zddRealignDisable]
-
-******************************************************************************/
-int
-Cudd_bddRealignmentEnabled(
-  DdManager * unique)
-{
-    return(unique->realignZ);
-
-} /* end of Cudd_bddRealignmentEnabled */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Enables realignment of BDD order to ZDD order.]
-
-  Description [Enables realignment of the BDD variable order to the
-  ZDD variable order after the ZDDs have been reordered.  The
-  number of ZDD variables must be a multiple of the number of BDD
-  variables for realignment to make sense. If this condition is not met,
-  Cudd_zddReduceHeap will return 0. Let <code>M</code> be the
-  ratio of the two numbers. For the purpose of realignment, the ZDD
-  variables from <code>M*i</code> to <code>(M+1)*i-1</code> are
-  reagarded as corresponding to BDD variable <code>i</code>. Realignment
-  is initially disabled.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddReduceHeap Cudd_bddRealignDisable
-  Cudd_bddRealignmentEnabled Cudd_zddRealignDisable
-  Cudd_zddRealignmentEnabled]
-
-******************************************************************************/
-void
-Cudd_bddRealignEnable(
-  DdManager * unique)
-{
-    unique->realignZ = 1;
-    return;
-
-} /* end of Cudd_bddRealignEnable */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Disables realignment of ZDD order to BDD order.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddRealignEnable Cudd_bddRealignmentEnabled
-  Cudd_zddRealignEnable Cudd_zddRealignmentEnabled]
-
-******************************************************************************/
-void
-Cudd_bddRealignDisable(
-  DdManager * unique)
-{
-    unique->realignZ = 0;
-    return;
-
-} /* end of Cudd_bddRealignDisable */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the one constant of the manager.]
-
-  Description [Returns the one constant of the manager. The one
-  constant is common to ADDs and BDDs.]
-
-  SideEffects [None]
-
-  SeeAlso [Cudd_ReadZero Cudd_ReadLogicZero Cudd_ReadZddOne]
-
-******************************************************************************/
-DdNode *
-Cudd_ReadOne(
-  DdManager * dd)
-{
-    return(dd->one);
-
-} /* end of Cudd_ReadOne */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the ZDD for the constant 1 function.]
-
-  Description [Returns the ZDD for the constant 1 function.
-  The representation of the constant 1 function as a ZDD depends on
-  how many variables it (nominally) depends on. The index of the
-  topmost variable in the support is given as argument <code>i</code>.]
-
-  SideEffects [None]
-
-  SeeAlso [Cudd_ReadOne]
-
-******************************************************************************/
-DdNode *
-Cudd_ReadZddOne(
-  DdManager * dd,
-  int  i)
-{
-    if (i < 0)
-    return(NULL);
-    return(i < dd->sizeZ ? dd->univ[i] : DD_ONE(dd));
-
-} /* end of Cudd_ReadZddOne */
-
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the zero constant of the manager.]
-
-  Description [Returns the zero constant of the manager. The zero
-  constant is the arithmetic zero, rather than the logic zero. The
-  latter is the complement of the one constant.]
-
-  SideEffects [None]
-
-  SeeAlso [Cudd_ReadOne Cudd_ReadLogicZero]
-
-******************************************************************************/
-DdNode *
-Cudd_ReadZero(
-  DdManager * dd)
-{
-    return(DD_ZERO(dd));
-
-} /* end of Cudd_ReadZero */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the logic zero constant of the manager.]
-
-  Description [Returns the zero constant of the manager. The logic zero
-  constant is the complement of the one constant, and is distinct from
-  the arithmetic zero.]
-
-  SideEffects [None]
-
-  SeeAlso [Cudd_ReadOne Cudd_ReadZero]
-
-******************************************************************************/
-DdNode *
-Cudd_ReadLogicZero(
-  DdManager * dd)
-{
-    return(Cudd_Not(DD_ONE(dd)));
-
-} /* end of Cudd_ReadLogicZero */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the plus-infinity constant from the manager.]
-
-  Description []
-
-  SideEffects [None]
-
-******************************************************************************/
-DdNode *
-Cudd_ReadPlusInfinity(
-  DdManager * dd)
-{
-    return(dd->plusinfinity);
-
-} /* end of Cudd_ReadPlusInfinity */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the minus-infinity constant from the manager.]
-
-  Description []
-
-  SideEffects [None]
-
-******************************************************************************/
-DdNode *
-Cudd_ReadMinusInfinity(
-  DdManager * dd)
-{
-    return(dd->minusinfinity);
-
-} /* end of Cudd_ReadMinusInfinity */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the background constant of the manager.]
-
-  Description []
-
-  SideEffects [None]
-
-******************************************************************************/
-DdNode *
-Cudd_ReadBackground(
-  DdManager * dd)
-{
-    return(dd->background);
-
-} /* end of Cudd_ReadBackground */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the background constant of the manager.]
-
-  Description [Sets the background constant of the manager. It assumes
-  that the DdNode pointer bck is already referenced.]
-
-  SideEffects [None]
-
-******************************************************************************/
-void
-Cudd_SetBackground(
-  DdManager * dd,
-  DdNode * bck)
-{
-    dd->background = bck;
-
-} /* end of Cudd_SetBackground */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the number of slots in the cache.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadCacheUsedSlots]
-
-******************************************************************************/
-unsigned int
-Cudd_ReadCacheSlots(
-  DdManager * dd)
-{
-    return(dd->cacheSlots);
-
-} /* end of Cudd_ReadCacheSlots */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the fraction of used slots in the cache.]
-
-  Description [Reads the fraction of used slots in the cache. The unused
-  slots are those in which no valid data is stored. Garbage collection,
-  variable reordering, and cache resizing may cause used slots to become
-  unused.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadCacheSlots]
-
-******************************************************************************/
-double
-Cudd_ReadCacheUsedSlots(
-  DdManager * dd)
-{
-    unsigned long used = 0;
-    int slots = dd->cacheSlots;
-    DdCache *cache = dd->cache;
-    int i;
-
-    for (i = 0; i < slots; i++) {
-    used += cache[i].h != 0;
-    }
-
-    return((double)used / (double) dd->cacheSlots);
-
-} /* end of Cudd_ReadCacheUsedSlots */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the number of cache look-ups.]
-
-  Description [Returns the number of cache look-ups.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadCacheHits]
-
-******************************************************************************/
-double
-Cudd_ReadCacheLookUps(
-  DdManager * dd)
-{
-    return(dd->cacheHits + dd->cacheMisses +
-       dd->totCachehits + dd->totCacheMisses);
-
-} /* end of Cudd_ReadCacheLookUps */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the number of cache hits.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadCacheLookUps]
-
-******************************************************************************/
-double
-Cudd_ReadCacheHits(
-  DdManager * dd)
-{
-    return(dd->cacheHits + dd->totCachehits);
-
-} /* end of Cudd_ReadCacheHits */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the number of recursive calls.]
-
-  Description [Returns the number of recursive calls if the package is
-  compiled with DD_COUNT defined.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-double
-Cudd_ReadRecursiveCalls(
-  DdManager * dd)
-{
-#ifdef DD_COUNT
-    return(dd->recursiveCalls);
-#else
-    return(-1.0);
-#endif
-
-} /* end of Cudd_ReadRecursiveCalls */
-
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the hit rate that causes resizinig of the computed
-  table.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetMinHit]
-
-******************************************************************************/
-unsigned int
-Cudd_ReadMinHit(
-  DdManager * dd)
-{
-    /* Internally, the package manipulates the ratio of hits to
-    ** misses instead of the ratio of hits to accesses. */
-    return((unsigned int) (0.5 + 100 * dd->minHit / (1 + dd->minHit)));
-
-} /* end of Cudd_ReadMinHit */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the hit rate that causes resizinig of the computed
-  table.]
-
-  Description [Sets the minHit parameter of the manager. This
-  parameter controls the resizing of the computed table. If the hit
-  rate is larger than the specified value, and the cache is not
-  already too large, then its size is doubled.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadMinHit]
-
-******************************************************************************/
-void
-Cudd_SetMinHit(
-  DdManager * dd,
-  unsigned int hr)
-{
-    /* Internally, the package manipulates the ratio of hits to
-    ** misses instead of the ratio of hits to accesses. */
-    dd->minHit = (double) hr / (100.0 - (double) hr);
-
-} /* end of Cudd_SetMinHit */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the looseUpTo parameter of the manager.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetLooseUpTo Cudd_ReadMinHit Cudd_ReadMinDead]
-
-******************************************************************************/
-unsigned int
-Cudd_ReadLooseUpTo(
-  DdManager * dd)
-{
-    return(dd->looseUpTo);
-
-} /* end of Cudd_ReadLooseUpTo */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the looseUpTo parameter of the manager.]
-
-  Description [Sets the looseUpTo parameter of the manager. This
-  parameter of the manager controls the threshold beyond which no fast
-  growth of the unique table is allowed. The threshold is given as a
-  number of slots. If the value passed to this function is 0, the
-  function determines a suitable value based on the available memory.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadLooseUpTo Cudd_SetMinHit]
-
-******************************************************************************/
-void
-Cudd_SetLooseUpTo(
-  DdManager * dd,
-  unsigned int lut)
-{
-    if (lut == 0) {
-    long datalimit = getSoftDataLimit();
-    lut = (unsigned int) (datalimit / (sizeof(DdNode) *
-                       DD_MAX_LOOSE_FRACTION));
-    }
-    dd->looseUpTo = lut;
-
-} /* end of Cudd_SetLooseUpTo */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the soft limit for the cache size.]
-
-  Description [Returns the soft limit for the cache size. The soft limit]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadMaxCache]
-
-******************************************************************************/
-unsigned int
-Cudd_ReadMaxCache(
-  DdManager * dd)
-{
-    return(2 * dd->cacheSlots + dd->cacheSlack);
-
-} /* end of Cudd_ReadMaxCache */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the maxCacheHard parameter of the manager.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetMaxCacheHard Cudd_ReadMaxCache]
-
-******************************************************************************/
-unsigned int
-Cudd_ReadMaxCacheHard(
-  DdManager * dd)
-{
-    return(dd->maxCacheHard);
-
-} /* end of Cudd_ReadMaxCache */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the maxCacheHard parameter of the manager.]
-
-  Description [Sets the maxCacheHard parameter of the manager. The
-  cache cannot grow larger than maxCacheHard entries. This parameter
-  allows an application to control the trade-off of memory versus
-  speed. If the value passed to this function is 0, the function
-  determines a suitable maximum cache size based on the available memory.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadMaxCacheHard Cudd_SetMaxCache]
-
-******************************************************************************/
-void
-Cudd_SetMaxCacheHard(
-  DdManager * dd,
-  unsigned int mc)
-{
-    if (mc == 0) {
-    long datalimit = getSoftDataLimit();
-    mc = (unsigned int) (datalimit / (sizeof(DdCache) *
-                      DD_MAX_CACHE_FRACTION));
-    }
-    dd->maxCacheHard = mc;
-
-} /* end of Cudd_SetMaxCacheHard */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the number of BDD variables in existance.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadZddSize]
-
-******************************************************************************/
-int
-Cudd_ReadSize(
-  DdManager * dd)
-{
-    return(dd->size);
-
-} /* end of Cudd_ReadSize */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the number of ZDD variables in existance.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadSize]
-
-******************************************************************************/
-int
-Cudd_ReadZddSize(
-  DdManager * dd)
-{
-    return(dd->sizeZ);
-
-} /* end of Cudd_ReadZddSize */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the total number of slots of the unique table.]
-
-  Description [Returns the total number of slots of the unique table.
-  This number ismainly for diagnostic purposes.]
-
-  SideEffects [None]
-
-******************************************************************************/
-unsigned int
-Cudd_ReadSlots(
-  DdManager * dd)
-{
-    return(dd->slots);
-
-} /* end of Cudd_ReadSlots */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the fraction of used slots in the unique table.]
-
-  Description [Reads the fraction of used slots in the unique
-  table. The unused slots are those in which no valid data is
-  stored. Garbage collection, variable reordering, and subtable
-  resizing may cause used slots to become unused.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadSlots]
-
-******************************************************************************/
-double
-Cudd_ReadUsedSlots(
-  DdManager * dd)
-{
-    unsigned long used = 0;
-    int i, j;
-    int size = dd->size;
-    DdNodePtr *nodelist;
-    DdSubtable *subtable;
-    DdNode *node;
-    DdNode *sentinel = &(dd->sentinel);
-
-    /* Scan each BDD/ADD subtable. */
-    for (i = 0; i < size; i++) {
-    subtable = &(dd->subtables[i]);
-    nodelist = subtable->nodelist;
-    for (j = 0; (unsigned) j < subtable->slots; j++) {
-        node = nodelist[j];
-        if (node != sentinel) {
-        used++;
-        }
-    }
-    }
-
-    /* Scan the ZDD subtables. */
-    size = dd->sizeZ;
-
-    for (i = 0; i < size; i++) {
-    subtable = &(dd->subtableZ[i]);
-    nodelist = subtable->nodelist;
-    for (j = 0; (unsigned) j < subtable->slots; j++) {
-        node = nodelist[j];
-        if (node != NULL) {
-        used++;
-        }
-    }
-    }
-
-    /* Constant table. */
-    subtable = &(dd->constants);
-    nodelist = subtable->nodelist;
-    for (j = 0; (unsigned) j < subtable->slots; j++) {
-    node = nodelist[j];
-    if (node != NULL) {
-        used++;
-    }
-    }
-
-    return((double)used / (double) dd->slots);
-
-} /* end of Cudd_ReadUsedSlots */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the expected fraction of used slots in the unique
-  table.]
-
-  Description [Computes the fraction of slots in the unique table that
-  should be in use. This expected value is based on the assumption
-  that the hash function distributes the keys randomly; it can be
-  compared with the result of Cudd_ReadUsedSlots to monitor the
-  performance of the unique table hash function.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadSlots Cudd_ReadUsedSlots]
-
-******************************************************************************/
-double
-Cudd_ExpectedUsedSlots(
-  DdManager * dd)
-{
-    int i;
-    int size = dd->size;
-    DdSubtable *subtable;
-    double empty = 0.0;
-
-    /* To each subtable we apply the corollary to Theorem 8.5 (occupancy
-    ** distribution) from Sedgewick and Flajolet's Analysis of Algorithms.
-    ** The corollary says that for a a table with M buckets and a load ratio
-    ** of r, the expected number of empty buckets is asymptotically given
-    ** by M * exp(-r).
-    */
-
-    /* Scan each BDD/ADD subtable. */
-    for (i = 0; i < size; i++) {
-    subtable = &(dd->subtables[i]);
-    empty += (double) subtable->slots *
-        exp(-(double) subtable->keys / (double) subtable->slots);
-    }
-
-    /* Scan the ZDD subtables. */
-    size = dd->sizeZ;
-
-    for (i = 0; i < size; i++) {
-    subtable = &(dd->subtableZ[i]);
-    empty += (double) subtable->slots *
-        exp(-(double) subtable->keys / (double) subtable->slots);
-    }
-
-    /* Constant table. */
-    subtable = &(dd->constants);
-    empty += (double) subtable->slots *
-    exp(-(double) subtable->keys / (double) subtable->slots);
-
-    return(1.0 - empty / (double) dd->slots);
-
-} /* end of Cudd_ExpectedUsedSlots */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the number of nodes in the unique table.]
-
-  Description [Returns the total number of nodes currently in the unique
-  table, including the dead nodes.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadDead]
-
-******************************************************************************/
-unsigned int
-Cudd_ReadKeys(
-  DdManager * dd)
-{
-    return(dd->keys);
-
-} /* end of Cudd_ReadKeys */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the number of dead nodes in the unique table.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadKeys]
-
-******************************************************************************/
-unsigned int
-Cudd_ReadDead(
-  DdManager * dd)
-{
-    return(dd->dead);
-
-} /* end of Cudd_ReadDead */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the minDead parameter of the manager.]
-
-  Description [Reads the minDead parameter of the manager. The minDead
-  parameter is used by the package to decide whether to collect garbage
-  or resize a subtable of the unique table when the subtable becomes
-  too full. The application can indirectly control the value of minDead
-  by setting the looseUpTo parameter.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadDead Cudd_ReadLooseUpTo Cudd_SetLooseUpTo]
-
-******************************************************************************/
-unsigned int
-Cudd_ReadMinDead(
-  DdManager * dd)
-{
-    return(dd->minDead);
-
-} /* end of Cudd_ReadMinDead */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the number of times reordering has occurred.]
-
-  Description [Returns the number of times reordering has occurred in the
-  manager. The number includes both the calls to Cudd_ReduceHeap from
-  the application program and those automatically performed by the
-  package. However, calls that do not even initiate reordering are not
-  counted. A call may not initiate reordering if there are fewer than
-  minsize live nodes in the manager, or if CUDD_REORDER_NONE is specified
-  as reordering method. The calls to Cudd_ShuffleHeap are not counted.]
-
-  SideEffects [None]
-
-  SeeAlso [Cudd_ReduceHeap Cudd_ReadReorderingTime]
-
-******************************************************************************/
-int
-Cudd_ReadReorderings(
-  DdManager * dd)
-{
-    return(dd->reorderings);
-
-} /* end of Cudd_ReadReorderings */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the time spent in reordering.]
-
-  Description [Returns the number of milliseconds spent reordering
-  variables since the manager was initialized. The time spent in collecting
-  garbage before reordering is included.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadReorderings]
-
-******************************************************************************/
-long
-Cudd_ReadReorderingTime(
-  DdManager * dd)
-{
-    return(dd->reordTime);
-
-} /* end of Cudd_ReadReorderingTime */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the number of times garbage collection has occurred.]
-
-  Description [Returns the number of times garbage collection has
-  occurred in the manager. The number includes both the calls from
-  reordering procedures and those caused by requests to create new
-  nodes.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadGarbageCollectionTime]
-
-******************************************************************************/
-int
-Cudd_ReadGarbageCollections(
-  DdManager * dd)
-{
-    return(dd->garbageCollections);
-
-} /* end of Cudd_ReadGarbageCollections */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the time spent in garbage collection.]
-
-  Description [Returns the number of milliseconds spent doing garbage
-  collection since the manager was initialized.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadGarbageCollections]
-
-******************************************************************************/
-long
-Cudd_ReadGarbageCollectionTime(
-  DdManager * dd)
-{
-    return(dd->GCTime);
-
-} /* end of Cudd_ReadGarbageCollectionTime */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the number of nodes freed.]
-
-  Description [Returns the number of nodes returned to the free list if the
-  keeping of this statistic is enabled; -1 otherwise. This statistic is
-  enabled only if the package is compiled with DD_STATS defined.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadNodesDropped]
-
-******************************************************************************/
-double
-Cudd_ReadNodesFreed(
-  DdManager * dd)
-{
-#ifdef DD_STATS
-    return(dd->nodesFreed);
-#else
-    return(-1.0);
-#endif
-
-} /* end of Cudd_ReadNodesFreed */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the number of nodes dropped.]
-
-  Description [Returns the number of nodes killed by dereferencing if the
-  keeping of this statistic is enabled; -1 otherwise. This statistic is
-  enabled only if the package is compiled with DD_STATS defined.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadNodesFreed]
-
-******************************************************************************/
-double
-Cudd_ReadNodesDropped(
-  DdManager * dd)
-{
-#ifdef DD_STATS
-    return(dd->nodesDropped);
-#else
-    return(-1.0);
-#endif
-
-} /* end of Cudd_ReadNodesDropped */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the number of look-ups in the unique table.]
-
-  Description [Returns the number of look-ups in the unique table if the
-  keeping of this statistic is enabled; -1 otherwise. This statistic is
-  enabled only if the package is compiled with DD_UNIQUE_PROFILE defined.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadUniqueLinks]
-
-******************************************************************************/
-double
-Cudd_ReadUniqueLookUps(
-  DdManager * dd)
-{
-#ifdef DD_UNIQUE_PROFILE
-    return(dd->uniqueLookUps);
-#else
-    return(-1.0);
-#endif
-
-} /* end of Cudd_ReadUniqueLookUps */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the number of links followed in the unique table.]
-
-  Description [Returns the number of links followed during look-ups in the
-  unique table if the keeping of this statistic is enabled; -1 otherwise.
-  If an item is found in the first position of its collision list, the
-  number of links followed is taken to be 0. If it is in second position,
-  the number of links is 1, and so on. This statistic is enabled only if
-  the package is compiled with DD_UNIQUE_PROFILE defined.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadUniqueLookUps]
-
-******************************************************************************/
-double
-Cudd_ReadUniqueLinks(
-  DdManager * dd)
-{
-#ifdef DD_UNIQUE_PROFILE
-    return(dd->uniqueLinks);
-#else
-    return(-1.0);
-#endif
-
-} /* end of Cudd_ReadUniqueLinks */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the siftMaxVar parameter of the manager.]
-
-  Description [Reads the siftMaxVar parameter of the manager. This
-  parameter gives the maximum number of variables that will be sifted
-  for each invocation of sifting.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadSiftMaxSwap Cudd_SetSiftMaxVar]
-
-******************************************************************************/
-int
-Cudd_ReadSiftMaxVar(
-  DdManager * dd)
-{
-    return(dd->siftMaxVar);
-
-} /* end of Cudd_ReadSiftMaxVar */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the siftMaxVar parameter of the manager.]
-
-  Description [Sets the siftMaxVar parameter of the manager. This
-  parameter gives the maximum number of variables that will be sifted
-  for each invocation of sifting.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetSiftMaxSwap Cudd_ReadSiftMaxVar]
-
-******************************************************************************/
-void
-Cudd_SetSiftMaxVar(
-  DdManager * dd,
-  int  smv)
-{
-    dd->siftMaxVar = smv;
-
-} /* end of Cudd_SetSiftMaxVar */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the siftMaxSwap parameter of the manager.]
-
-  Description [Reads the siftMaxSwap parameter of the manager. This
-  parameter gives the maximum number of swaps that will be attempted
-  for each invocation of sifting. The real number of swaps may exceed
-  the set limit because the package will always complete the sifting
-  of the variable that causes the limit to be reached.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadSiftMaxVar Cudd_SetSiftMaxSwap]
-
-******************************************************************************/
-int
-Cudd_ReadSiftMaxSwap(
-  DdManager * dd)
-{
-    return(dd->siftMaxSwap);
-
-} /* end of Cudd_ReadSiftMaxSwap */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the siftMaxSwap parameter of the manager.]
-
-  Description [Sets the siftMaxSwap parameter of the manager. This
-  parameter gives the maximum number of swaps that will be attempted
-  for each invocation of sifting. The real number of swaps may exceed
-  the set limit because the package will always complete the sifting
-  of the variable that causes the limit to be reached.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetSiftMaxVar Cudd_ReadSiftMaxSwap]
-
-******************************************************************************/
-void
-Cudd_SetSiftMaxSwap(
-  DdManager * dd,
-  int  sms)
-{
-    dd->siftMaxSwap = sms;
-
-} /* end of Cudd_SetSiftMaxSwap */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the maxGrowth parameter of the manager.]
-
-  Description [Reads the maxGrowth parameter of the manager.  This
-  parameter determines how much the number of nodes can grow during
-  sifting of a variable.  Overall, sifting never increases the size of
-  the decision diagrams.  This parameter only refers to intermediate
-  results.  A lower value will speed up sifting, possibly at the
-  expense of quality.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetMaxGrowth Cudd_ReadMaxGrowthAlternate]
-
-******************************************************************************/
-double
-Cudd_ReadMaxGrowth(
-  DdManager * dd)
-{
-    return(dd->maxGrowth);
-
-} /* end of Cudd_ReadMaxGrowth */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the maxGrowth parameter of the manager.]
-
-  Description [Sets the maxGrowth parameter of the manager.  This
-  parameter determines how much the number of nodes can grow during
-  sifting of a variable.  Overall, sifting never increases the size of
-  the decision diagrams.  This parameter only refers to intermediate
-  results.  A lower value will speed up sifting, possibly at the
-  expense of quality.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadMaxGrowth Cudd_SetMaxGrowthAlternate]
-
-******************************************************************************/
-void
-Cudd_SetMaxGrowth(
-  DdManager * dd,
-  double mg)
-{
-    dd->maxGrowth = mg;
-
-} /* end of Cudd_SetMaxGrowth */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the maxGrowthAlt parameter of the manager.]
-
-  Description [Reads the maxGrowthAlt parameter of the manager.  This
-  parameter is analogous to the maxGrowth paramter, and is used every
-  given number of reorderings instead of maxGrowth.  The number of
-  reorderings is set with Cudd_SetReorderingCycle.  If the number of
-  reorderings is 0 (default) maxGrowthAlt is never used.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadMaxGrowth Cudd_SetMaxGrowthAlternate
-  Cudd_SetReorderingCycle Cudd_ReadReorderingCycle]
-
-******************************************************************************/
-double
-Cudd_ReadMaxGrowthAlternate(
-  DdManager * dd)
-{
-    return(dd->maxGrowthAlt);
-
-} /* end of Cudd_ReadMaxGrowthAlternate */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the maxGrowthAlt parameter of the manager.]
-
-  Description [Sets the maxGrowthAlt parameter of the manager.  This
-  parameter is analogous to the maxGrowth paramter, and is used every
-  given number of reorderings instead of maxGrowth.  The number of
-  reorderings is set with Cudd_SetReorderingCycle.  If the number of
-  reorderings is 0 (default) maxGrowthAlt is never used.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadMaxGrowthAlternate Cudd_SetMaxGrowth
-  Cudd_SetReorderingCycle Cudd_ReadReorderingCycle]
-
-******************************************************************************/
-void
-Cudd_SetMaxGrowthAlternate(
-  DdManager * dd,
-  double mg)
-{
-    dd->maxGrowthAlt = mg;
-
-} /* end of Cudd_SetMaxGrowthAlternate */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the reordCycle parameter of the manager.]
-
-  Description [Reads the reordCycle parameter of the manager.  This
-  parameter determines how often the alternate threshold on maximum
-  growth is used in reordering.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadMaxGrowthAlternate Cudd_SetMaxGrowthAlternate
-  Cudd_SetReorderingCycle]
-
-******************************************************************************/
-int
-Cudd_ReadReorderingCycle(
-  DdManager * dd)
-{
-    return(dd->reordCycle);
-
-} /* end of Cudd_ReadReorderingCycle */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the reordCycle parameter of the manager.]
-
-  Description [Sets the reordCycle parameter of the manager.  This
-  parameter determines how often the alternate threshold on maximum
-  growth is used in reordering.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadMaxGrowthAlternate Cudd_SetMaxGrowthAlternate
-  Cudd_ReadReorderingCycle]
-
-******************************************************************************/
-void
-Cudd_SetReorderingCycle(
-  DdManager * dd,
-  int cycle)
-{
-    dd->reordCycle = cycle;
-
-} /* end of Cudd_SetReorderingCycle */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the variable group tree of the manager.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetTree Cudd_FreeTree Cudd_ReadZddTree]
-
-******************************************************************************/
-MtrNode *
-Cudd_ReadTree(
-  DdManager * dd)
-{
-    return(dd->tree);
-
-} /* end of Cudd_ReadTree */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the variable group tree of the manager.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_FreeTree Cudd_ReadTree Cudd_SetZddTree]
-
-******************************************************************************/
-void
-Cudd_SetTree(
-  DdManager * dd,
-  MtrNode * tree)
-{
-    if (dd->tree != NULL) {
-    Mtr_FreeTree(dd->tree);
-    }
-    dd->tree = tree;
-    if (tree == NULL) return;
-
-    fixVarTree(tree, dd->perm, dd->size);
-    return;
-
-} /* end of Cudd_SetTree */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Frees the variable group tree of the manager.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetTree Cudd_ReadTree Cudd_FreeZddTree]
-
-******************************************************************************/
-void
-Cudd_FreeTree(
-  DdManager * dd)
-{
-    if (dd->tree != NULL) {
-    Mtr_FreeTree(dd->tree);
-    dd->tree = NULL;
-    }
-    return;
-
-} /* end of Cudd_FreeTree */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the variable group tree of the manager.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetZddTree Cudd_FreeZddTree Cudd_ReadTree]
-
-******************************************************************************/
-MtrNode *
-Cudd_ReadZddTree(
-  DdManager * dd)
-{
-    return(dd->treeZ);
-
-} /* end of Cudd_ReadZddTree */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the ZDD variable group tree of the manager.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_FreeZddTree Cudd_ReadZddTree Cudd_SetTree]
-
-******************************************************************************/
-void
-Cudd_SetZddTree(
-  DdManager * dd,
-  MtrNode * tree)
-{
-    if (dd->treeZ != NULL) {
-    Mtr_FreeTree(dd->treeZ);
-    }
-    dd->treeZ = tree;
-    if (tree == NULL) return;
-
-    fixVarTree(tree, dd->permZ, dd->sizeZ);
-    return;
-
-} /* end of Cudd_SetZddTree */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Frees the variable group tree of the manager.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetZddTree Cudd_ReadZddTree Cudd_FreeTree]
-
-******************************************************************************/
-void
-Cudd_FreeZddTree(
-  DdManager * dd)
-{
-    if (dd->treeZ != NULL) {
-    Mtr_FreeTree(dd->treeZ);
-    dd->treeZ = NULL;
-    }
-    return;
-
-} /* end of Cudd_FreeZddTree */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the index of the node.]
-
-  Description [Returns the index of the node. The node pointer can be
-  either regular or complemented.]
-
-  SideEffects [None]
-
-  SeeAlso [Cudd_ReadIndex]
-
-******************************************************************************/
-unsigned int
-Cudd_NodeReadIndex(
-  DdNode * node)
-{
-    return((unsigned int) Cudd_Regular(node)->index);
-
-} /* end of Cudd_NodeReadIndex */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the current position of the i-th variable in the
-  order.]
-
-  Description [Returns the current position of the i-th variable in
-  the order. If the index is CUDD_CONST_INDEX, returns
-  CUDD_CONST_INDEX; otherwise, if the index is out of bounds returns
-  -1.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadInvPerm Cudd_ReadPermZdd]
-
-******************************************************************************/
-int
-Cudd_ReadPerm(
-  DdManager * dd,
-  int  i)
-{
-    if (i == CUDD_CONST_INDEX) return(CUDD_CONST_INDEX);
-    if (i < 0 || i >= dd->size) return(-1);
-    return(dd->perm[i]);
-
-} /* end of Cudd_ReadPerm */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the current position of the i-th ZDD variable in the
-  order.]
-
-  Description [Returns the current position of the i-th ZDD variable
-  in the order. If the index is CUDD_CONST_INDEX, returns
-  CUDD_CONST_INDEX; otherwise, if the index is out of bounds returns
-  -1.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadInvPermZdd Cudd_ReadPerm]
-
-******************************************************************************/
-int
-Cudd_ReadPermZdd(
-  DdManager * dd,
-  int  i)
-{
-    if (i == CUDD_CONST_INDEX) return(CUDD_CONST_INDEX);
-    if (i < 0 || i >= dd->sizeZ) return(-1);
-    return(dd->permZ[i]);
-
-} /* end of Cudd_ReadPermZdd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the index of the variable currently in the i-th
-  position of the order.]
-
-  Description [Returns the index of the variable currently in the i-th
-  position of the order. If the index is CUDD_CONST_INDEX, returns
-  CUDD_CONST_INDEX; otherwise, if the index is out of bounds returns -1.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadPerm Cudd_ReadInvPermZdd]
-
-******************************************************************************/
-int
-Cudd_ReadInvPerm(
-  DdManager * dd,
-  int  i)
-{
-    if (i == CUDD_CONST_INDEX) return(CUDD_CONST_INDEX);
-    if (i < 0 || i >= dd->size) return(-1);
-    return(dd->invperm[i]);
-
-} /* end of Cudd_ReadInvPerm */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the index of the ZDD variable currently in the i-th
-  position of the order.]
-
-  Description [Returns the index of the ZDD variable currently in the
-  i-th position of the order. If the index is CUDD_CONST_INDEX, returns
-  CUDD_CONST_INDEX; otherwise, if the index is out of bounds returns -1.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadPerm Cudd_ReadInvPermZdd]
-
-******************************************************************************/
-int
-Cudd_ReadInvPermZdd(
-  DdManager * dd,
-  int  i)
-{
-    if (i == CUDD_CONST_INDEX) return(CUDD_CONST_INDEX);
-    if (i < 0 || i >= dd->sizeZ) return(-1);
-    return(dd->invpermZ[i]);
-
-} /* end of Cudd_ReadInvPermZdd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the i-th element of the vars array.]
-
-  Description [Returns the i-th element of the vars array if it falls
-  within the array bounds; NULL otherwise. If i is the index of an
-  existing variable, this function produces the same result as
-  Cudd_bddIthVar. However, if the i-th var does not exist yet,
-  Cudd_bddIthVar will create it, whereas Cudd_ReadVars will not.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddIthVar]
-
-******************************************************************************/
-DdNode *
-Cudd_ReadVars(
-  DdManager * dd,
-  int  i)
-{
-    if (i < 0 || i > dd->size) return(NULL);
-    return(dd->vars[i]);
-
-} /* end of Cudd_ReadVars */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the epsilon parameter of the manager.]
-
-  Description [Reads the epsilon parameter of the manager. The epsilon
-  parameter control the comparison between floating point numbers.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetEpsilon]
-
-******************************************************************************/
-CUDD_VALUE_TYPE
-Cudd_ReadEpsilon(
-  DdManager * dd)
-{
-    return(dd->epsilon);
-
-} /* end of Cudd_ReadEpsilon */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the epsilon parameter of the manager to ep.]
-
-  Description [Sets the epsilon parameter of the manager to ep. The epsilon
-  parameter control the comparison between floating point numbers.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadEpsilon]
-
-******************************************************************************/
-void
-Cudd_SetEpsilon(
-  DdManager * dd,
-  CUDD_VALUE_TYPE  ep)
-{
-    dd->epsilon = ep;
-
-} /* end of Cudd_SetEpsilon */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the groupcheck parameter of the manager.]
-
-  Description [Reads the groupcheck parameter of the manager. The
-  groupcheck parameter determines the aggregation criterion in group
-  sifting.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetGroupcheck]
-
-******************************************************************************/
-Cudd_AggregationType
-Cudd_ReadGroupcheck(
-  DdManager * dd)
-{
-    return(dd->groupcheck);
-
-} /* end of Cudd_ReadGroupCheck */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the parameter groupcheck of the manager to gc.]
-
-  Description [Sets the parameter groupcheck of the manager to gc. The
-  groupcheck parameter determines the aggregation criterion in group
-  sifting.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadGroupCheck]
-
-******************************************************************************/
-void
-Cudd_SetGroupcheck(
-  DdManager * dd,
-  Cudd_AggregationType gc)
-{
-    dd->groupcheck = gc;
-
-} /* end of Cudd_SetGroupcheck */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Tells whether garbage collection is enabled.]
-
-  Description [Returns 1 if garbage collection is enabled; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_EnableGarbageCollection Cudd_DisableGarbageCollection]
-
-******************************************************************************/
-int
-Cudd_GarbageCollectionEnabled(
-  DdManager * dd)
-{
-    return(dd->gcEnabled);
-
-} /* end of Cudd_GarbageCollectionEnabled */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Enables garbage collection.]
-
-  Description [Enables garbage collection. Garbage collection is
-  initially enabled. Therefore it is necessary to call this function
-  only if garbage collection has been explicitly disabled.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DisableGarbageCollection Cudd_GarbageCollectionEnabled]
-
-******************************************************************************/
-void
-Cudd_EnableGarbageCollection(
-  DdManager * dd)
-{
-    dd->gcEnabled = 1;
-
-} /* end of Cudd_EnableGarbageCollection */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Disables garbage collection.]
-
-  Description [Disables garbage collection. Garbage collection is
-  initially enabled. This function may be called to disable it.
-  However, garbage collection will still occur when a new node must be
-  created and no memory is left, or when garbage collection is required
-  for correctness. (E.g., before reordering.)]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_EnableGarbageCollection Cudd_GarbageCollectionEnabled]
-
-******************************************************************************/
-void
-Cudd_DisableGarbageCollection(
-  DdManager * dd)
-{
-    dd->gcEnabled = 0;
-
-} /* end of Cudd_DisableGarbageCollection */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Tells whether dead nodes are counted towards triggering
-  reordering.]
-
-  Description [Tells whether dead nodes are counted towards triggering
-  reordering. Returns 1 if dead nodes are counted; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_TurnOnCountDead Cudd_TurnOffCountDead]
-
-******************************************************************************/
-int
-Cudd_DeadAreCounted(
-  DdManager * dd)
-{
-    return(dd->countDead == 0 ? 1 : 0);
-
-} /* end of Cudd_DeadAreCounted */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Causes the dead nodes to be counted towards triggering
-  reordering.]
-
-  Description [Causes the dead nodes to be counted towards triggering
-  reordering. This causes more frequent reorderings. By default dead
-  nodes are not counted.]
-
-  SideEffects [Changes the manager.]
-
-  SeeAlso     [Cudd_TurnOffCountDead Cudd_DeadAreCounted]
-
-******************************************************************************/
-void
-Cudd_TurnOnCountDead(
-  DdManager * dd)
-{
-    dd->countDead = 0;
-
-} /* end of Cudd_TurnOnCountDead */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Causes the dead nodes not to be counted towards triggering
-  reordering.]
-
-  Description [Causes the dead nodes not to be counted towards
-  triggering reordering. This causes less frequent reorderings. By
-  default dead nodes are not counted. Therefore there is no need to
-  call this function unless Cudd_TurnOnCountDead has been previously
-  called.]
-
-  SideEffects [Changes the manager.]
-
-  SeeAlso     [Cudd_TurnOnCountDead Cudd_DeadAreCounted]
-
-******************************************************************************/
-void
-Cudd_TurnOffCountDead(
-  DdManager * dd)
-{
-    dd->countDead = ~0;
-
-} /* end of Cudd_TurnOffCountDead */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the current value of the recombination parameter used
-  in group sifting.]
-
-  Description [Returns the current value of the recombination
-  parameter used in group sifting. A larger (positive) value makes the
-  aggregation of variables due to the second difference criterion more
-  likely. A smaller (negative) value makes aggregation less likely.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetRecomb]
-
-******************************************************************************/
-int
-Cudd_ReadRecomb(
-  DdManager * dd)
-{
-    return(dd->recomb);
-
-} /* end of Cudd_ReadRecomb */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the value of the recombination parameter used in group
-  sifting.]
-
-  Description [Sets the value of the recombination parameter used in
-  group sifting. A larger (positive) value makes the aggregation of
-  variables due to the second difference criterion more likely. A
-  smaller (negative) value makes aggregation less likely. The default
-  value is 0.]
-
-  SideEffects [Changes the manager.]
-
-  SeeAlso     [Cudd_ReadRecomb]
-
-******************************************************************************/
-void
-Cudd_SetRecomb(
-  DdManager * dd,
-  int  recomb)
-{
-    dd->recomb = recomb;
-
-} /* end of Cudd_SetRecomb */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the current value of the symmviolation parameter used
-  in group sifting.]
-
-  Description [Returns the current value of the symmviolation
-  parameter. This parameter is used in group sifting to decide how
-  many violations to the symmetry conditions <code>f10 = f01</code> or
-  <code>f11 = f00</code> are tolerable when checking for aggregation
-  due to extended symmetry. The value should be between 0 and 100. A
-  small value causes fewer variables to be aggregated. The default
-  value is 0.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetSymmviolation]
-
-******************************************************************************/
-int
-Cudd_ReadSymmviolation(
-  DdManager * dd)
-{
-    return(dd->symmviolation);
-
-} /* end of Cudd_ReadSymmviolation */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the value of the symmviolation parameter used
-  in group sifting.]
-
-  Description [Sets the value of the symmviolation
-  parameter. This parameter is used in group sifting to decide how
-  many violations to the symmetry conditions <code>f10 = f01</code> or
-  <code>f11 = f00</code> are tolerable when checking for aggregation
-  due to extended symmetry. The value should be between 0 and 100. A
-  small value causes fewer variables to be aggregated. The default
-  value is 0.]
-
-  SideEffects [Changes the manager.]
-
-  SeeAlso     [Cudd_ReadSymmviolation]
-
-******************************************************************************/
-void
-Cudd_SetSymmviolation(
-  DdManager * dd,
-  int  symmviolation)
-{
-    dd->symmviolation = symmviolation;
-
-} /* end of Cudd_SetSymmviolation */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the current value of the arcviolation parameter used
-  in group sifting.]
-
-  Description [Returns the current value of the arcviolation
-  parameter. This parameter is used in group sifting to decide how
-  many arcs into <code>y</code> not coming from <code>x</code> are
-  tolerable when checking for aggregation due to extended
-  symmetry. The value should be between 0 and 100. A small value
-  causes fewer variables to be aggregated. The default value is 0.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetArcviolation]
-
-******************************************************************************/
-int
-Cudd_ReadArcviolation(
-  DdManager * dd)
-{
-    return(dd->arcviolation);
-
-} /* end of Cudd_ReadArcviolation */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the value of the arcviolation parameter used
-  in group sifting.]
-
-  Description [Sets the value of the arcviolation
-  parameter. This parameter is used in group sifting to decide how
-  many arcs into <code>y</code> not coming from <code>x</code> are
-  tolerable when checking for aggregation due to extended
-  symmetry. The value should be between 0 and 100. A small value
-  causes fewer variables to be aggregated. The default value is 0.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadArcviolation]
-
-******************************************************************************/
-void
-Cudd_SetArcviolation(
-  DdManager * dd,
-  int  arcviolation)
-{
-    dd->arcviolation = arcviolation;
-
-} /* end of Cudd_SetArcviolation */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the current size of the population used by the
-  genetic algorithm for reordering.]
-
-  Description [Reads the current size of the population used by the
-  genetic algorithm for variable reordering. A larger population size will
-  cause the genetic algorithm to take more time, but will generally
-  produce better results. The default value is 0, in which case the
-  package uses three times the number of variables as population size,
-  with a maximum of 120.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetPopulationSize]
-
-******************************************************************************/
-int
-Cudd_ReadPopulationSize(
-  DdManager * dd)
-{
-    return(dd->populationSize);
-
-} /* end of Cudd_ReadPopulationSize */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the size of the population used by the
-  genetic algorithm for reordering.]
-
-  Description [Sets the size of the population used by the
-  genetic algorithm for variable reordering. A larger population size will
-  cause the genetic algorithm to take more time, but will generally
-  produce better results. The default value is 0, in which case the
-  package uses three times the number of variables as population size,
-  with a maximum of 120.]
-
-  SideEffects [Changes the manager.]
-
-  SeeAlso     [Cudd_ReadPopulationSize]
-
-******************************************************************************/
-void
-Cudd_SetPopulationSize(
-  DdManager * dd,
-  int  populationSize)
-{
-    dd->populationSize = populationSize;
-
-} /* end of Cudd_SetPopulationSize */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the current number of crossovers used by the
-  genetic algorithm for reordering.]
-
-  Description [Reads the current number of crossovers used by the
-  genetic algorithm for variable reordering. A larger number of crossovers will
-  cause the genetic algorithm to take more time, but will generally
-  produce better results. The default value is 0, in which case the
-  package uses three times the number of variables as number of crossovers,
-  with a maximum of 60.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetNumberXovers]
-
-******************************************************************************/
-int
-Cudd_ReadNumberXovers(
-  DdManager * dd)
-{
-    return(dd->numberXovers);
-
-} /* end of Cudd_ReadNumberXovers */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the number of crossovers used by the
-  genetic algorithm for reordering.]
-
-  Description [Sets the number of crossovers used by the genetic
-  algorithm for variable reordering. A larger number of crossovers
-  will cause the genetic algorithm to take more time, but will
-  generally produce better results. The default value is 0, in which
-  case the package uses three times the number of variables as number
-  of crossovers, with a maximum of 60.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadNumberXovers]
-
-******************************************************************************/
-void
-Cudd_SetNumberXovers(
-  DdManager * dd,
-  int  numberXovers)
-{
-    dd->numberXovers = numberXovers;
-
-} /* end of Cudd_SetNumberXovers */
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the memory in use by the manager measured in bytes.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-long
-Cudd_ReadMemoryInUse(
-  DdManager * dd)
-{
-    return(dd->memused);
-
-} /* end of Cudd_ReadMemoryInUse */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints out statistics and settings for a CUDD manager.]
-
-  Description [Prints out statistics and settings for a CUDD manager.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-Cudd_PrintInfo(
-  DdManager * dd,
-  FILE * fp)
-{
-    int retval;
-    Cudd_ReorderingType autoMethod, autoMethodZ;
-
-    /* Modifiable parameters. */
-    retval = fprintf(fp,"**** CUDD modifiable parameters ****\n");
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Hard limit for cache size: %u\n",
-             Cudd_ReadMaxCacheHard(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Cache hit threshold for resizing: %u%%\n",
-             Cudd_ReadMinHit(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Garbage collection enabled: %s\n",
-             Cudd_GarbageCollectionEnabled(dd) ? "yes" : "no");
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Limit for fast unique table growth: %u\n",
-             Cudd_ReadLooseUpTo(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,
-             "Maximum number of variables sifted per reordering: %d\n",
-             Cudd_ReadSiftMaxVar(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,
-             "Maximum number of variable swaps per reordering: %d\n",
-             Cudd_ReadSiftMaxSwap(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Maximum growth while sifting a variable: %g\n",
-             Cudd_ReadMaxGrowth(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Dynamic reordering of BDDs enabled: %s\n",
-             Cudd_ReorderingStatus(dd,&autoMethod) ? "yes" : "no");
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Default BDD reordering method: %d\n", autoMethod);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Dynamic reordering of ZDDs enabled: %s\n",
-             Cudd_ReorderingStatusZdd(dd,&autoMethodZ) ? "yes" : "no");
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Default ZDD reordering method: %d\n", autoMethodZ);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Realignment of ZDDs to BDDs enabled: %s\n",
-             Cudd_zddRealignmentEnabled(dd) ? "yes" : "no");
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Realignment of BDDs to ZDDs enabled: %s\n",
-             Cudd_bddRealignmentEnabled(dd) ? "yes" : "no");
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Dead nodes counted in triggering reordering: %s\n",
-             Cudd_DeadAreCounted(dd) ? "yes" : "no");
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Group checking criterion: %d\n",
-             Cudd_ReadGroupcheck(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Recombination threshold: %d\n", Cudd_ReadRecomb(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Symmetry violation threshold: %d\n",
-             Cudd_ReadSymmviolation(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Arc violation threshold: %d\n",
-             Cudd_ReadArcviolation(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"GA population size: %d\n",
-             Cudd_ReadPopulationSize(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Number of crossovers for GA: %d\n",
-             Cudd_ReadNumberXovers(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Next reordering threshold: %u\n",
-             Cudd_ReadNextReordering(dd));
-    if (retval == EOF) return(0);
-
-    /* Non-modifiable parameters. */
-    retval = fprintf(fp,"**** CUDD non-modifiable parameters ****\n");
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Memory in use: %ld\n", Cudd_ReadMemoryInUse(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Peak number of nodes: %ld\n",
-             Cudd_ReadPeakNodeCount(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Peak number of live nodes: %d\n",
-             Cudd_ReadPeakLiveNodeCount(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Number of BDD variables: %d\n", dd->size);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Number of ZDD variables: %d\n", dd->sizeZ);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Number of cache entries: %u\n", dd->cacheSlots);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Number of cache look-ups: %.0f\n",
-             Cudd_ReadCacheLookUps(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Number of cache hits: %.0f\n",
-             Cudd_ReadCacheHits(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Number of cache insertions: %.0f\n",
-             dd->cacheinserts);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Number of cache collisions: %.0f\n",
-             dd->cachecollisions);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Number of cache deletions: %.0f\n",
-             dd->cachedeletions);
-    if (retval == EOF) return(0);
-    retval = cuddCacheProfile(dd,fp);
-    if (retval == 0) return(0);
-    retval = fprintf(fp,"Soft limit for cache size: %u\n",
-             Cudd_ReadMaxCache(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Number of buckets in unique table: %u\n", dd->slots);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Used buckets in unique table: %.2f%% (expected %.2f%%)\n",
-             100.0 * Cudd_ReadUsedSlots(dd),
-             100.0 * Cudd_ExpectedUsedSlots(dd));
-    if (retval == EOF) return(0);
-#ifdef DD_UNIQUE_PROFILE
-    retval = fprintf(fp,"Unique lookups: %.0f\n", dd->uniqueLookUps);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Unique links: %.0f (%g per lookup)\n",
-        dd->uniqueLinks, dd->uniqueLinks / dd->uniqueLookUps);
-    if (retval == EOF) return(0);
-#endif
-    retval = fprintf(fp,"Number of BDD and ADD nodes: %u\n", dd->keys);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Number of ZDD nodes: %u\n", dd->keysZ);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Number of dead BDD and ADD nodes: %u\n", dd->dead);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Number of dead ZDD nodes: %u\n", dd->deadZ);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Total number of nodes allocated: %.0f\n",
-             dd->allocated);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Total number of nodes reclaimed: %.0f\n",
-             dd->reclaimed);
-    if (retval == EOF) return(0);
-#if DD_STATS
-    retval = fprintf(fp,"Nodes freed: %.0f\n", dd->nodesFreed);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Nodes dropped: %.0f\n", dd->nodesDropped);
-    if (retval == EOF) return(0);
-#endif
-#if DD_COUNT
-    retval = fprintf(fp,"Number of recursive calls: %.0f\n",
-             Cudd_ReadRecursiveCalls(dd));
-    if (retval == EOF) return(0);
-#endif
-    retval = fprintf(fp,"Garbage collections so far: %d\n",
-             Cudd_ReadGarbageCollections(dd));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Time for garbage collection: %.2f sec\n",
-             ((double)Cudd_ReadGarbageCollectionTime(dd)/1000.0));
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Reorderings so far: %d\n", dd->reorderings);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Time for reordering: %.2f sec\n",
-             ((double)Cudd_ReadReorderingTime(dd)/1000.0));
-    if (retval == EOF) return(0);
-#if DD_COUNT
-    retval = fprintf(fp,"Node swaps in reordering: %.0f\n",
-    Cudd_ReadSwapSteps(dd));
-    if (retval == EOF) return(0);
-#endif
-
-    return(1);
-
-} /* end of Cudd_PrintInfo */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reports the peak number of nodes.]
-
-  Description [Reports the peak number of nodes. This number includes
-  node on the free list. At the peak, the number of nodes on the free
-  list is guaranteed to be less than DD_MEM_CHUNK.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadNodeCount Cudd_PrintInfo]
-
-******************************************************************************/
-long
-Cudd_ReadPeakNodeCount(
-  DdManager * dd)
-{
-    long count = 0;
-    DdNodePtr *scan = dd->memoryList;
-
-    while (scan != NULL) {
-    count += DD_MEM_CHUNK;
-    scan = (DdNodePtr *) *scan;
-    }
-    return(count);
-
-} /* end of Cudd_ReadPeakNodeCount */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reports the peak number of live nodes.]
-
-  Description [Reports the peak number of live nodes. This count is kept
-  only if CUDD is compiled with DD_STATS defined. If DD_STATS is not
-  defined, this function returns -1.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadNodeCount Cudd_PrintInfo Cudd_ReadPeakNodeCount]
-
-******************************************************************************/
-int
-Cudd_ReadPeakLiveNodeCount(
-  DdManager * dd)
-{
-    unsigned int live = dd->keys - dd->dead;
-
-    if (live > dd->peakLiveNodes) {
-    dd->peakLiveNodes = live;
-    }
-    return((int)dd->peakLiveNodes);
-
-} /* end of Cudd_ReadPeakLiveNodeCount */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reports the number of nodes in BDDs and ADDs.]
-
-  Description [Reports the number of live nodes in BDDs and ADDs. This
-  number does not include the isolated projection functions and the
-  unused constants. These nodes that are not counted are not part of
-  the DDs manipulated by the application.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadPeakNodeCount Cudd_zddReadNodeCount]
-
-******************************************************************************/
-long
-Cudd_ReadNodeCount(
-  DdManager * dd)
-{
-    long count;
-    int i;
-
-#ifndef DD_NO_DEATH_ROW
-    cuddClearDeathRow(dd);
-#endif
-
-    count = dd->keys - dd->dead;
-
-    /* Count isolated projection functions. Their number is subtracted
-    ** from the node count because they are not part of the BDDs.
-    */
-    for (i=0; i < dd->size; i++) {
-    if (dd->vars[i]->ref == 1) count--;
-    }
-    /* Subtract from the count the unused constants. */
-    if (DD_ZERO(dd)->ref == 1) count--;
-    if (DD_PLUS_INFINITY(dd)->ref == 1) count--;
-    if (DD_MINUS_INFINITY(dd)->ref == 1) count--;
-
-    return(count);
-
-} /* end of Cudd_ReadNodeCount */
-
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reports the number of nodes in ZDDs.]
-
-  Description [Reports the number of nodes in ZDDs. This
-  number always includes the two constants 1 and 0.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadPeakNodeCount Cudd_ReadNodeCount]
-
-******************************************************************************/
-long
-Cudd_zddReadNodeCount(
-  DdManager * dd)
-{
-    return(dd->keysZ - dd->deadZ + 2);
-
-} /* end of Cudd_zddReadNodeCount */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Adds a function to a hook.]
-
-  Description [Adds a function to a hook. A hook is a list of
-  application-provided functions called on certain occasions by the
-  package. Returns 1 if the function is successfully added; 2 if the
-  function was already in the list; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_RemoveHook]
-
-******************************************************************************/
-int
-Cudd_AddHook(
-  DdManager * dd,
-  int (*f)(DdManager *, char *, void *) ,
-  Cudd_HookType where)
-{
-    DdHook **hook, *nextHook, *newHook;
-
-    switch (where) {
-    case CUDD_PRE_GC_HOOK:
-    hook = &(dd->preGCHook);
-    break;
-    case CUDD_POST_GC_HOOK:
-    hook = &(dd->postGCHook);
-    break;
-    case CUDD_PRE_REORDERING_HOOK:
-    hook = &(dd->preReorderingHook);
-    break;
-    case CUDD_POST_REORDERING_HOOK:
-    hook = &(dd->postReorderingHook);
-    break;
-    default:
-    return(0);
-    }
-    /* Scan the list and find whether the function is already there.
-    ** If so, just return. */
-    nextHook = *hook;
-    while (nextHook != NULL) {
-    if (nextHook->f == f) {
-        return(2);
-    }
-    hook = &(nextHook->next);
-    nextHook = nextHook->next;
-    }
-    /* The function was not in the list. Create a new item and append it
-    ** to the end of the list. */
-    newHook = ALLOC(DdHook,1);
-    if (newHook == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    newHook->next = NULL;
-    newHook->f = f;
-    *hook = newHook;
-    return(1);
-
-} /* end of Cudd_AddHook */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Removes a function from a hook.]
-
-  Description [Removes a function from a hook. A hook is a list of
-  application-provided functions called on certain occasions by the
-  package. Returns 1 if successful; 0 the function was not in the list.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_AddHook]
-
-******************************************************************************/
-int
-Cudd_RemoveHook(
-  DdManager * dd,
-  int (*f)(DdManager *, char *, void *) ,
-  Cudd_HookType where)
-{
-    DdHook **hook, *nextHook;
-
-    switch (where) {
-    case CUDD_PRE_GC_HOOK:
-    hook = &(dd->preGCHook);
-    break;
-    case CUDD_POST_GC_HOOK:
-    hook = &(dd->postGCHook);
-    break;
-    case CUDD_PRE_REORDERING_HOOK:
-    hook = &(dd->preReorderingHook);
-    break;
-    case CUDD_POST_REORDERING_HOOK:
-    hook = &(dd->postReorderingHook);
-    break;
-    default:
-    return(0);
-    }
-    nextHook = *hook;
-    while (nextHook != NULL) {
-    if (nextHook->f == f) {
-        *hook = nextHook->next;
-        FREE(nextHook);
-        return(1);
-    }
-    hook = &(nextHook->next);
-    nextHook = nextHook->next;
-    }
-
-    return(0);
-
-} /* end of Cudd_RemoveHook */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks whether a function is in a hook.]
-
-  Description [Checks whether a function is in a hook. A hook is a list of
-  application-provided functions called on certain occasions by the
-  package. Returns 1 if the function is found; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_AddHook Cudd_RemoveHook]
-
-******************************************************************************/
-int
-Cudd_IsInHook(
-  DdManager * dd,
-  int (*f)(DdManager *, char *, void *) ,
-  Cudd_HookType where)
-{
-    DdHook *hook;
-
-    switch (where) {
-    case CUDD_PRE_GC_HOOK:
-    hook = dd->preGCHook;
-    break;
-    case CUDD_POST_GC_HOOK:
-    hook = dd->postGCHook;
-    break;
-    case CUDD_PRE_REORDERING_HOOK:
-    hook = dd->preReorderingHook;
-    break;
-    case CUDD_POST_REORDERING_HOOK:
-    hook = dd->postReorderingHook;
-    break;
-    default:
-    return(0);
-    }
-    /* Scan the list and find whether the function is already there. */
-    while (hook != NULL) {
-    if (hook->f == f) {
-        return(1);
-    }
-    hook = hook->next;
-    }
-    return(0);
-
-} /* end of Cudd_IsInHook */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sample hook function to call before reordering.]
-
-  Description [Sample hook function to call before reordering.
-  Prints on the manager's stdout reordering method and initial size.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_StdPostReordHook]
-
-******************************************************************************/
-int
-Cudd_StdPreReordHook(
-  DdManager *dd,
-  char *str,
-  void *data)
-{
-    Cudd_ReorderingType method = (Cudd_ReorderingType) (ptruint) data;
-    int retval;
-
-    retval = fprintf(dd->out,"%s reordering with ", str);
-    if (retval == EOF) return(0);
-    switch (method) {
-    case CUDD_REORDER_SIFT_CONVERGE:
-    case CUDD_REORDER_SYMM_SIFT_CONV:
-    case CUDD_REORDER_GROUP_SIFT_CONV:
-    case CUDD_REORDER_WINDOW2_CONV:
-    case CUDD_REORDER_WINDOW3_CONV:
-    case CUDD_REORDER_WINDOW4_CONV:
-    case CUDD_REORDER_LINEAR_CONVERGE:
-    retval = fprintf(dd->out,"converging ");
-    if (retval == EOF) return(0);
-    break;
-    default:
-    break;
-    }
-    switch (method) {
-    case CUDD_REORDER_RANDOM:
-    case CUDD_REORDER_RANDOM_PIVOT:
-    retval = fprintf(dd->out,"random");
-    break;
-    case CUDD_REORDER_SIFT:
-    case CUDD_REORDER_SIFT_CONVERGE:
-    retval = fprintf(dd->out,"sifting");
-    break;
-    case CUDD_REORDER_SYMM_SIFT:
-    case CUDD_REORDER_SYMM_SIFT_CONV:
-    retval = fprintf(dd->out,"symmetric sifting");
-    break;
-    case CUDD_REORDER_LAZY_SIFT:
-    retval = fprintf(dd->out,"lazy sifting");
-    break;
-    case CUDD_REORDER_GROUP_SIFT:
-    case CUDD_REORDER_GROUP_SIFT_CONV:
-    retval = fprintf(dd->out,"group sifting");
-    break;
-    case CUDD_REORDER_WINDOW2:
-    case CUDD_REORDER_WINDOW3:
-    case CUDD_REORDER_WINDOW4:
-    case CUDD_REORDER_WINDOW2_CONV:
-    case CUDD_REORDER_WINDOW3_CONV:
-    case CUDD_REORDER_WINDOW4_CONV:
-    retval = fprintf(dd->out,"window");
-    break;
-    case CUDD_REORDER_ANNEALING:
-    retval = fprintf(dd->out,"annealing");
-    break;
-    case CUDD_REORDER_GENETIC:
-    retval = fprintf(dd->out,"genetic");
-    break;
-    case CUDD_REORDER_LINEAR:
-    case CUDD_REORDER_LINEAR_CONVERGE:
-    retval = fprintf(dd->out,"linear sifting");
-    break;
-    case CUDD_REORDER_EXACT:
-    retval = fprintf(dd->out,"exact");
-    break;
-    default:
-    return(0);
-    }
-    if (retval == EOF) return(0);
-
-    retval = fprintf(dd->out,": from %ld to ... ", strcmp(str, "BDD") == 0 ?
-             Cudd_ReadNodeCount(dd) : Cudd_zddReadNodeCount(dd));
-    if (retval == EOF) return(0);
-    fflush(dd->out);
-    return(1);
-
-} /* end of Cudd_StdPreReordHook */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sample hook function to call after reordering.]
-
-  Description [Sample hook function to call after reordering.
-  Prints on the manager's stdout final size and reordering time.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_StdPreReordHook]
-
-******************************************************************************/
-int
-Cudd_StdPostReordHook(
-  DdManager *dd,
-  char *str,
-  void *data)
-{
-    long initialTime = (long) data;
-    int retval;
-    long finalTime = util_cpu_time();
-    double totalTimeSec = (double)(finalTime - initialTime) / 1000.0;
-
-    retval = fprintf(dd->out,"%ld nodes in %g sec\n", strcmp(str, "BDD") == 0 ?
-             Cudd_ReadNodeCount(dd) : Cudd_zddReadNodeCount(dd),
-             totalTimeSec);
-    if (retval == EOF) return(0);
-    retval = fflush(dd->out);
-    if (retval == EOF) return(0);
-    return(1);
-
-} /* end of Cudd_StdPostReordHook */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Enables reporting of reordering stats.]
-
-  Description [Enables reporting of reordering stats.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [Installs functions in the pre-reordering and post-reordering
-  hooks.]
-
-  SeeAlso     [Cudd_DisableReorderingReporting Cudd_ReorderingReporting]
-
-******************************************************************************/
-int
-Cudd_EnableReorderingReporting(
-  DdManager *dd)
-{
-    if (!Cudd_AddHook(dd, Cudd_StdPreReordHook, CUDD_PRE_REORDERING_HOOK)) {
-    return(0);
-    }
-    if (!Cudd_AddHook(dd, Cudd_StdPostReordHook, CUDD_POST_REORDERING_HOOK)) {
-    return(0);
-    }
-    return(1);
-
-} /* end of Cudd_EnableReorderingReporting */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Disables reporting of reordering stats.]
-
-  Description [Disables reporting of reordering stats.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [Removes functions from the pre-reordering and post-reordering
-  hooks.]
-
-  SeeAlso     [Cudd_EnableReorderingReporting Cudd_ReorderingReporting]
-
-******************************************************************************/
-int
-Cudd_DisableReorderingReporting(
-  DdManager *dd)
-{
-    if (!Cudd_RemoveHook(dd, Cudd_StdPreReordHook, CUDD_PRE_REORDERING_HOOK)) {
-    return(0);
-    }
-    if (!Cudd_RemoveHook(dd, Cudd_StdPostReordHook, CUDD_POST_REORDERING_HOOK)) {
-    return(0);
-    }
-    return(1);
-
-} /* end of Cudd_DisableReorderingReporting */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns 1 if reporting of reordering stats is enabled.]
-
-  Description [Returns 1 if reporting of reordering stats is enabled;
-  0 otherwise.]
-
-  SideEffects [none]
-
-  SeeAlso     [Cudd_EnableReorderingReporting Cudd_DisableReorderingReporting]
-
-******************************************************************************/
-int
-Cudd_ReorderingReporting(
-  DdManager *dd)
-{
-    return(Cudd_IsInHook(dd, Cudd_StdPreReordHook, CUDD_PRE_REORDERING_HOOK));
-
-} /* end of Cudd_ReorderingReporting */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the code of the last error.]
-
-  Description [Returns the code of the last error. The error codes are
-  defined in cudd.h.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ClearErrorCode]
-
-******************************************************************************/
-Cudd_ErrorType
-Cudd_ReadErrorCode(
-  DdManager *dd)
-{
-    return(dd->errorCode);
-
-} /* end of Cudd_ReadErrorCode */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Clear the error code of a manager.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadErrorCode]
-
-******************************************************************************/
-void
-Cudd_ClearErrorCode(
-  DdManager *dd)
-{
-    dd->errorCode = CUDD_NO_ERROR;
-
-} /* end of Cudd_ClearErrorCode */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the stdout of a manager.]
-
-  Description [Reads the stdout of a manager. This is the file pointer to
-  which messages normally going to stdout are written. It is initialized
-  to stdout. Cudd_SetStdout allows the application to redirect it.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetStdout Cudd_ReadStderr]
-
-******************************************************************************/
-FILE *
-Cudd_ReadStdout(
-  DdManager *dd)
-{
-    return(dd->out);
-
-} /* end of Cudd_ReadStdout */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the stdout of a manager.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadStdout Cudd_SetStderr]
-
-******************************************************************************/
-void
-Cudd_SetStdout(
-  DdManager *dd,
-  FILE *fp)
-{
-    dd->out = fp;
-
-} /* end of Cudd_SetStdout */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the stderr of a manager.]
-
-  Description [Reads the stderr of a manager. This is the file pointer to
-  which messages normally going to stderr are written. It is initialized
-  to stderr. Cudd_SetStderr allows the application to redirect it.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetStderr Cudd_ReadStdout]
-
-******************************************************************************/
-FILE *
-Cudd_ReadStderr(
-  DdManager *dd)
-{
-    return(dd->err);
-
-} /* end of Cudd_ReadStderr */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the stderr of a manager.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadStderr Cudd_SetStdout]
-
-******************************************************************************/
-void
-Cudd_SetStderr(
-  DdManager *dd,
-  FILE *fp)
-{
-    dd->err = fp;
-
-} /* end of Cudd_SetStderr */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the threshold for the next dynamic reordering.]
-
-  Description [Returns the threshold for the next dynamic reordering.
-  The threshold is in terms of number of nodes and is in effect only
-  if reordering is enabled. The count does not include the dead nodes,
-  unless the countDead parameter of the manager has been changed from
-  its default setting.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SetNextReordering]
-
-******************************************************************************/
-unsigned int
-Cudd_ReadNextReordering(
-  DdManager *dd)
-{
-    return(dd->nextDyn);
-
-} /* end of Cudd_ReadNextReordering */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the threshold for the next dynamic reordering.]
-
-  Description [Sets the threshold for the next dynamic reordering.
-  The threshold is in terms of number of nodes and is in effect only
-  if reordering is enabled. The count does not include the dead nodes,
-  unless the countDead parameter of the manager has been changed from
-  its default setting.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ReadNextReordering]
-
-******************************************************************************/
-void
-Cudd_SetNextReordering(
-  DdManager *dd,
-  unsigned int next)
-{
-    dd->nextDyn = next;
-
-} /* end of Cudd_SetNextReordering */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the number of elementary reordering steps.]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     []
-
-******************************************************************************/
-double
-Cudd_ReadSwapSteps(
-  DdManager *dd)
-{
-#ifdef DD_COUNT
-    return(dd->swapSteps);
-#else
-    return(-1);
-#endif
-
-} /* end of Cudd_ReadSwapSteps */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the maximum allowed number of live nodes.]
-
-  Description [Reads the maximum allowed number of live nodes. When this
-  number is exceeded, the package returns NULL.]
-
-  SideEffects [none]
-
-  SeeAlso     [Cudd_SetMaxLive]
-
-******************************************************************************/
-unsigned int
-Cudd_ReadMaxLive(
-  DdManager *dd)
-{
-    return(dd->maxLive);
-
-} /* end of Cudd_ReadMaxLive */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the maximum allowed number of live nodes.]
-
-  Description [Sets the maximum allowed number of live nodes. When this
-  number is exceeded, the package returns NULL.]
-
-  SideEffects [none]
-
-  SeeAlso     [Cudd_ReadMaxLive]
-
-******************************************************************************/
-void
-Cudd_SetMaxLive(
-  DdManager *dd,
-  unsigned int maxLive)
-{
-    dd->maxLive = maxLive;
-
-} /* end of Cudd_SetMaxLive */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads the maximum allowed memory.]
-
-  Description [Reads the maximum allowed memory. When this
-  number is exceeded, the package returns NULL.]
-
-  SideEffects [none]
-
-  SeeAlso     [Cudd_SetMaxMemory]
-
-******************************************************************************/
-long
-Cudd_ReadMaxMemory(
-  DdManager *dd)
-{
-    return(dd->maxmemhard);
-
-} /* end of Cudd_ReadMaxMemory */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets the maximum allowed memory.]
-
-  Description [Sets the maximum allowed memory. When this
-  number is exceeded, the package returns NULL.]
-
-  SideEffects [none]
-
-  SeeAlso     [Cudd_ReadMaxMemory]
-
-******************************************************************************/
-void
-Cudd_SetMaxMemory(
-  DdManager *dd,
-  long maxMemory)
-{
-    dd->maxmemhard = maxMemory;
-
-} /* end of Cudd_SetMaxMemory */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prevents sifting of a variable.]
-
-  Description [This function sets a flag to prevent sifting of a
-  variable.  Returns 1 if successful; 0 otherwise (i.e., invalid
-  variable index).]
-
-  SideEffects [Changes the "bindVar" flag in DdSubtable.]
-
-  SeeAlso     [Cudd_bddUnbindVar]
-
-******************************************************************************/
-int
-Cudd_bddBindVar(
-  DdManager *dd /* manager */,
-  int index /* variable index */)
-{
-    if (index >= dd->size || index < 0) return(0);
-    dd->subtables[dd->perm[index]].bindVar = 1;
-    return(1);
-
-} /* end of Cudd_bddBindVar */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Allows the sifting of a variable.]
-
-  Description [This function resets the flag that prevents the sifting
-  of a variable. In successive variable reorderings, the variable will
-  NOT be skipped, that is, sifted.  Initially all variables can be
-  sifted. It is necessary to call this function only to re-enable
-  sifting after a call to Cudd_bddBindVar. Returns 1 if successful; 0
-  otherwise (i.e., invalid variable index).]
-
-  SideEffects [Changes the "bindVar" flag in DdSubtable.]
-
-  SeeAlso     [Cudd_bddBindVar]
-
-******************************************************************************/
-int
-Cudd_bddUnbindVar(
-  DdManager *dd /* manager */,
-  int index /* variable index */)
-{
-    if (index >= dd->size || index < 0) return(0);
-    dd->subtables[dd->perm[index]].bindVar = 0;
-    return(1);
-
-} /* end of Cudd_bddUnbindVar */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Tells whether a variable can be sifted.]
-
-  Description [This function returns 1 if a variable is enabled for
-  sifting.  Initially all variables can be sifted. This function returns
-  0 only if there has been a previous call to Cudd_bddBindVar for that
-  variable not followed by a call to Cudd_bddUnbindVar. The function returns
-  0 also in the case in which the index of the variable is out of bounds.]
-
-  SideEffects [none]
-
-  SeeAlso     [Cudd_bddBindVar Cudd_bddUnbindVar]
-
-******************************************************************************/
-int
-Cudd_bddVarIsBound(
-  DdManager *dd /* manager */,
-  int index /* variable index */)
-{
-    if (index >= dd->size || index < 0) return(0);
-    return(dd->subtables[dd->perm[index]].bindVar);
-
-} /* end of Cudd_bddVarIsBound */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets a variable type to primary input.]
-
-  Description [Sets a variable type to primary input.  The variable type is
-  used by lazy sifting.  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [modifies the manager]
-
-  SeeAlso     [Cudd_bddSetPsVar Cudd_bddSetNsVar Cudd_bddIsPiVar]
-
-******************************************************************************/
-int
-Cudd_bddSetPiVar(
-  DdManager *dd /* manager */,
-  int index /* variable index */)
-{
-    if (index >= dd->size || index < 0) return (0);
-    dd->subtables[dd->perm[index]].varType = CUDD_VAR_PRIMARY_INPUT;
-    return(1);
-
-} /* end of Cudd_bddSetPiVar */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets a variable type to present state.]
-
-  Description [Sets a variable type to present state.  The variable type is
-  used by lazy sifting.  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [modifies the manager]
-
-  SeeAlso     [Cudd_bddSetPiVar Cudd_bddSetNsVar Cudd_bddIsPsVar]
-
-******************************************************************************/
-int
-Cudd_bddSetPsVar(
-  DdManager *dd /* manager */,
-  int index /* variable index */)
-{
-    if (index >= dd->size || index < 0) return (0);
-    dd->subtables[dd->perm[index]].varType = CUDD_VAR_PRESENT_STATE;
-    return(1);
-
-} /* end of Cudd_bddSetPsVar */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets a variable type to next state.]
-
-  Description [Sets a variable type to next state.  The variable type is
-  used by lazy sifting.  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [modifies the manager]
-
-  SeeAlso     [Cudd_bddSetPiVar Cudd_bddSetPsVar Cudd_bddIsNsVar]
-
-******************************************************************************/
-int
-Cudd_bddSetNsVar(
-  DdManager *dd /* manager */,
-  int index /* variable index */)
-{
-    if (index >= dd->size || index < 0) return (0);
-    dd->subtables[dd->perm[index]].varType = CUDD_VAR_NEXT_STATE;
-    return(1);
-
-} /* end of Cudd_bddSetNsVar */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks whether a variable is primary input.]
-
-  Description [Checks whether a variable is primary input.  Returns 1 if
-  the variable's type is primary input; 0 if the variable exists but is
-  not a primary input; -1 if the variable does not exist.]
-
-  SideEffects [none]
-
-  SeeAlso     [Cudd_bddSetPiVar Cudd_bddIsPsVar Cudd_bddIsNsVar]
-
-******************************************************************************/
-int
-Cudd_bddIsPiVar(
-  DdManager *dd /* manager */,
-  int index /* variable index */)
-{
-    if (index >= dd->size || index < 0) return -1;
-    return (dd->subtables[dd->perm[index]].varType == CUDD_VAR_PRIMARY_INPUT);
-
-} /* end of Cudd_bddIsPiVar */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks whether a variable is present state.]
-
-  Description [Checks whether a variable is present state.  Returns 1 if
-  the variable's type is present state; 0 if the variable exists but is
-  not a present state; -1 if the variable does not exist.]
-
-  SideEffects [none]
-
-  SeeAlso     [Cudd_bddSetPsVar Cudd_bddIsPiVar Cudd_bddIsNsVar]
-
-******************************************************************************/
-int
-Cudd_bddIsPsVar(
-  DdManager *dd,
-  int index)
-{
-    if (index >= dd->size || index < 0) return -1;
-    return (dd->subtables[dd->perm[index]].varType == CUDD_VAR_PRESENT_STATE);
-
-} /* end of Cudd_bddIsPsVar */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks whether a variable is next state.]
-
-  Description [Checks whether a variable is next state.  Returns 1 if
-  the variable's type is present state; 0 if the variable exists but is
-  not a present state; -1 if the variable does not exist.]
-
-  SideEffects [none]
-
-  SeeAlso     [Cudd_bddSetNsVar Cudd_bddIsPiVar Cudd_bddIsPsVar]
-
-******************************************************************************/
-int
-Cudd_bddIsNsVar(
-  DdManager *dd,
-  int index)
-{
-    if (index >= dd->size || index < 0) return -1;
-    return (dd->subtables[dd->perm[index]].varType == CUDD_VAR_NEXT_STATE);
-
-} /* end of Cudd_bddIsNsVar */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets a corresponding pair index for a given index.]
-
-  Description [Sets a corresponding pair index for a given index.
-  These pair indices are present and next state variable.  Returns 1 if
-  successful; 0 otherwise.]
-
-  SideEffects [modifies the manager]
-
-  SeeAlso     [Cudd_bddReadPairIndex]
-
-******************************************************************************/
-int
-Cudd_bddSetPairIndex(
-  DdManager *dd /* manager */,
-  int index /* variable index */,
-  int pairIndex /* corresponding variable index */)
-{
-    if (index >= dd->size || index < 0) return(0);
-    dd->subtables[dd->perm[index]].pairIndex = pairIndex;
-    return(1);
-
-} /* end of Cudd_bddSetPairIndex */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads a corresponding pair index for a given index.]
-
-  Description [Reads a corresponding pair index for a given index.
-  These pair indices are present and next state variable.  Returns the
-  corresponding variable index if the variable exists; -1 otherwise.]
-
-  SideEffects [modifies the manager]
-
-  SeeAlso     [Cudd_bddSetPairIndex]
-
-******************************************************************************/
-int
-Cudd_bddReadPairIndex(
-  DdManager *dd,
-  int index)
-{
-    if (index >= dd->size || index < 0) return -1;
-    return dd->subtables[dd->perm[index]].pairIndex;
-
-} /* end of Cudd_bddReadPairIndex */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets a variable to be grouped.]
-
-  Description [Sets a variable to be grouped. This function is used for
-  lazy sifting.  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [modifies the manager]
-
-  SeeAlso     [Cudd_bddSetVarHardGroup Cudd_bddResetVarToBeGrouped]
-
-******************************************************************************/
-int
-Cudd_bddSetVarToBeGrouped(
-  DdManager *dd,
-  int index)
-{
-    if (index >= dd->size || index < 0) return(0);
-    if (dd->subtables[dd->perm[index]].varToBeGrouped <= CUDD_LAZY_SOFT_GROUP) {
-    dd->subtables[dd->perm[index]].varToBeGrouped = CUDD_LAZY_SOFT_GROUP;
-    }
-    return(1);
-
-} /* end of Cudd_bddSetVarToBeGrouped */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets a variable to be a hard group.]
-
-  Description [Sets a variable to be a hard group.  This function is used
-  for lazy sifting.  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [modifies the manager]
-
-  SeeAlso     [Cudd_bddSetVarToBeGrouped Cudd_bddResetVarToBeGrouped
-  Cudd_bddIsVarHardGroup]
-
-******************************************************************************/
-int
-Cudd_bddSetVarHardGroup(
-  DdManager *dd,
-  int index)
-{
-    if (index >= dd->size || index < 0) return(0);
-    dd->subtables[dd->perm[index]].varToBeGrouped = CUDD_LAZY_HARD_GROUP;
-    return(1);
-
-} /* end of Cudd_bddSetVarHardGrouped */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Resets a variable not to be grouped.]
-
-  Description [Resets a variable not to be grouped.  This function is
-  used for lazy sifting.  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [modifies the manager]
-
-  SeeAlso     [Cudd_bddSetVarToBeGrouped Cudd_bddSetVarHardGroup]
-
-******************************************************************************/
-int
-Cudd_bddResetVarToBeGrouped(
-  DdManager *dd,
-  int index)
-{
-    if (index >= dd->size || index < 0) return(0);
-    if (dd->subtables[dd->perm[index]].varToBeGrouped <=
-    CUDD_LAZY_SOFT_GROUP) {
-    dd->subtables[dd->perm[index]].varToBeGrouped = CUDD_LAZY_NONE;
-    }
-    return(1);
-
-} /* end of Cudd_bddResetVarToBeGrouped */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks whether a variable is set to be grouped.]
-
-  Description [Checks whether a variable is set to be grouped. This
-  function is used for lazy sifting.]
-
-  SideEffects [none]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-Cudd_bddIsVarToBeGrouped(
-  DdManager *dd,
-  int index)
-{
-    if (index >= dd->size || index < 0) return(-1);
-    if (dd->subtables[dd->perm[index]].varToBeGrouped == CUDD_LAZY_UNGROUP)
-    return(0);
-    else
-    return(dd->subtables[dd->perm[index]].varToBeGrouped);
-
-} /* end of Cudd_bddIsVarToBeGrouped */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets a variable to be ungrouped.]
-
-  Description [Sets a variable to be ungrouped. This function is used
-  for lazy sifting.  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [modifies the manager]
-
-  SeeAlso     [Cudd_bddIsVarToBeUngrouped]
-
-******************************************************************************/
-int
-Cudd_bddSetVarToBeUngrouped(
-  DdManager *dd,
-  int index)
-{
-    if (index >= dd->size || index < 0) return(0);
-    dd->subtables[dd->perm[index]].varToBeGrouped = CUDD_LAZY_UNGROUP;
-    return(1);
-
-} /* end of Cudd_bddSetVarToBeGrouped */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks whether a variable is set to be ungrouped.]
-
-  Description [Checks whether a variable is set to be ungrouped. This
-  function is used for lazy sifting.  Returns 1 if the variable is marked
-  to be ungrouped; 0 if the variable exists, but it is not marked to be
-  ungrouped; -1 if the variable does not exist.]
-
-  SideEffects [none]
-
-  SeeAlso     [Cudd_bddSetVarToBeUngrouped]
-
-******************************************************************************/
-int
-Cudd_bddIsVarToBeUngrouped(
-  DdManager *dd,
-  int index)
-{
-    if (index >= dd->size || index < 0) return(-1);
-    return dd->subtables[dd->perm[index]].varToBeGrouped == CUDD_LAZY_UNGROUP;
-
-} /* end of Cudd_bddIsVarToBeGrouped */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks whether a variable is set to be in a hard group.]
-
-  Description [Checks whether a variable is set to be in a hard group.  This
-  function is used for lazy sifting.  Returns 1 if the variable is marked
-  to be in a hard group; 0 if the variable exists, but it is not marked to be
-  in a hard group; -1 if the variable does not exist.]
-
-  SideEffects [none]
-
-  SeeAlso     [Cudd_bddSetVarHardGroup]
-
-******************************************************************************/
-int
-Cudd_bddIsVarHardGroup(
-  DdManager *dd,
-  int index)
-{
-    if (index >= dd->size || index < 0) return(-1);
-    if (dd->subtables[dd->perm[index]].varToBeGrouped == CUDD_LAZY_HARD_GROUP)
-    return(1);
-    return(0);
-
-} /* end of Cudd_bddIsVarToBeGrouped */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Fixes a variable group tree.]
-
-  Description []
-
-  SideEffects [Changes the variable group tree.]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-fixVarTree(
-  MtrNode * treenode,
-  int * perm,
-  int  size)
-{
-    treenode->index = treenode->low;
-    treenode->low = ((int) treenode->index < size) ?
-    perm[treenode->index] : treenode->index;
-    if (treenode->child != NULL)
-    fixVarTree(treenode->child, perm, size);
-    if (treenode->younger != NULL)
-    fixVarTree(treenode->younger, perm, size);
-    return;
-
-} /* end of fixVarTree */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Adds multiplicity groups to a ZDD variable group tree.]
-
-  Description [Adds multiplicity groups to a ZDD variable group tree.
-  Returns 1 if successful; 0 otherwise. This function creates the groups
-  for set of ZDD variables (whose cardinality is given by parameter
-  multiplicity) that are created for each BDD variable in
-  Cudd_zddVarsFromBddVars. The crux of the matter is to determine the index
-  each new group. (The index of the first variable in the group.)
-  We first build all the groups for the children of a node, and then deal
-  with the ZDD variables that are directly attached to the node. The problem
-  for these is that the tree itself does not provide information on their
-  position inside the group. While we deal with the children of the node,
-  therefore, we keep track of all the positions they occupy. The remaining
-  positions in the tree can be freely used. Also, we keep track of all the
-  variables placed in the children. All the remaining variables are directly
-  attached to the group. We can then place any pair of variables not yet
-  grouped in any pair of available positions in the node.]
-
-  SideEffects [Changes the variable group tree.]
-
-  SeeAlso     [Cudd_zddVarsFromBddVars]
-
-******************************************************************************/
-static int
-addMultiplicityGroups(
-  DdManager *dd /* manager */,
-  MtrNode *treenode /* current tree node */,
-  int multiplicity /* how many ZDD vars per BDD var */,
-  char *vmask /* variable pairs for which a group has been already built */,
-  char *lmask /* levels for which a group has already been built*/)
-{
-    int startV, stopV, startL;
-    int i, j;
-    MtrNode *auxnode = treenode;
-
-    while (auxnode != NULL) {
-    if (auxnode->child != NULL) {
-        addMultiplicityGroups(dd,auxnode->child,multiplicity,vmask,lmask);
-    }
-    /* Build remaining groups. */
-    startV = dd->permZ[auxnode->index] / multiplicity;
-    startL = auxnode->low / multiplicity;
-    stopV = startV + auxnode->size / multiplicity;
-    /* Walk down vmask starting at startV and build missing groups. */
-    for (i = startV, j = startL; i < stopV; i++) {
-        if (vmask[i] == 0) {
-        MtrNode *node;
-        while (lmask[j] == 1) j++;
-        node = Mtr_MakeGroup(auxnode, j * multiplicity, multiplicity,
-                     MTR_FIXED);
-        if (node == NULL) {
-            return(0);
-        }
-        node->index = dd->invpermZ[i * multiplicity];
-        vmask[i] = 1;
-        lmask[j] = 1;
-        }
-    }
-    auxnode = auxnode->younger;
-    }
-    return(1);
-
-} /* end of addMultiplicityGroups */
-
diff --git a/src/bdd/cudd/cuddAddAbs.c b/src/bdd/cudd/cuddAddAbs.c
deleted file mode 100644
index b256ad0f..00000000
--- a/src/bdd/cudd/cuddAddAbs.c
+++ /dev/null
@@ -1,566 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddAddAbs.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Quantification functions for ADDs.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_addExistAbstract()
-        <li> Cudd_addUnivAbstract()
-        <li> Cudd_addOrAbstract()
-        </ul>
-    Internal procedures included in this module:
-        <ul>
-        <li> cuddAddExistAbstractRecur()
-        <li> cuddAddUnivAbstractRecur()
-        <li> cuddAddOrAbstractRecur()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> addCheckPositiveCube()
-        </ul>]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddAddAbs.c,v 1.1.1.1 2003/02/24 22:23:50 wjiang Exp $";
-#endif
-
-static    DdNode    *two;
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int addCheckPositiveCube ARGS((DdManager *manager, DdNode *cube));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis    [Existentially Abstracts all the variables in cube from f.]
-
-  Description [Abstracts all the variables in cube from f by summing
-  over all possible values taken by the variables. Returns the
-  abstracted ADD.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addUnivAbstract Cudd_bddExistAbstract
-  Cudd_addOrAbstract]
-
-******************************************************************************/
-DdNode *
-Cudd_addExistAbstract(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * cube)
-{
-    DdNode *res;
-
-    two = cuddUniqueConst(manager,(CUDD_VALUE_TYPE) 2);
-    if (two == NULL) return(NULL);
-    cuddRef(two);
-
-    if (addCheckPositiveCube(manager, cube) == 0) {
-        (void) fprintf(manager->err,"Error: Can only abstract cubes");
-        return(NULL);
-    }
-
-    do {
-    manager->reordered = 0;
-    res = cuddAddExistAbstractRecur(manager, f, cube);
-    } while (manager->reordered == 1);
-
-    if (res == NULL) {
-    Cudd_RecursiveDeref(manager,two);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(manager,two);
-    cuddDeref(res);
-
-    return(res);
-
-} /* end of Cudd_addExistAbstract */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Universally Abstracts all the variables in cube from f.]
-
-  Description [Abstracts all the variables in cube from f by taking
-  the product over all possible values taken by the variable. Returns
-  the abstracted ADD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addExistAbstract Cudd_bddUnivAbstract
-  Cudd_addOrAbstract]
-
-******************************************************************************/
-DdNode *
-Cudd_addUnivAbstract(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * cube)
-{
-    DdNode        *res;
-
-    if (addCheckPositiveCube(manager, cube) == 0) {
-    (void) fprintf(manager->err,"Error:  Can only abstract cubes");
-    return(NULL);
-    }
-
-    do {
-    manager->reordered = 0;
-    res = cuddAddUnivAbstractRecur(manager, f, cube);
-    } while (manager->reordered == 1);
-
-    return(res);
-
-} /* end of Cudd_addUnivAbstract */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Disjunctively abstracts all the variables in cube from the
-  0-1 ADD f.]
-
-  Description [Abstracts all the variables in cube from the 0-1 ADD f
-  by taking the disjunction over all possible values taken by the
-  variables.  Returns the abstracted ADD if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addUnivAbstract Cudd_addExistAbstract]
-
-******************************************************************************/
-DdNode *
-Cudd_addOrAbstract(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * cube)
-{
-    DdNode *res;
-
-    if (addCheckPositiveCube(manager, cube) == 0) {
-        (void) fprintf(manager->err,"Error: Can only abstract cubes");
-        return(NULL);
-    }
-
-    do {
-    manager->reordered = 0;
-    res = cuddAddOrAbstractRecur(manager, f, cube);
-    } while (manager->reordered == 1);
-    return(res);
-
-} /* end of Cudd_addOrAbstract */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_addExistAbstract.]
-
-  Description [Performs the recursive step of Cudd_addExistAbstract.
-  Returns the ADD obtained by abstracting the variables of cube from f,
-  if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-cuddAddExistAbstractRecur(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * cube)
-{
-    DdNode    *T, *E, *res, *res1, *res2, *zero;
-
-    statLine(manager);
-    zero = DD_ZERO(manager);
-
-    /* Cube is guaranteed to be a cube at this point. */    
-    if (f == zero || cuddIsConstant(cube)) {  
-        return(f);
-    }
-
-    /* Abstract a variable that does not appear in f => multiply by 2. */
-    if (cuddI(manager,f->index) > cuddI(manager,cube->index)) {
-    res1 = cuddAddExistAbstractRecur(manager, f, cuddT(cube));
-    if (res1 == NULL) return(NULL);
-    cuddRef(res1);
-    /* Use the "internal" procedure to be alerted in case of
-    ** dynamic reordering. If dynamic reordering occurs, we
-    ** have to abort the entire abstraction.
-    */
-    res = cuddAddApplyRecur(manager,Cudd_addTimes,res1,two);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(manager,res1);
-        return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(manager,res1);
-    cuddDeref(res);
-        return(res);
-    }
-
-    if ((res = cuddCacheLookup2(manager, Cudd_addExistAbstract, f, cube)) != NULL) {
-    return(res);
-    }
-
-    T = cuddT(f);
-    E = cuddE(f);
-
-    /* If the two indices are the same, so are their levels. */
-    if (f->index == cube->index) {
-    res1 = cuddAddExistAbstractRecur(manager, T, cuddT(cube));
-    if (res1 == NULL) return(NULL);
-        cuddRef(res1);
-    res2 = cuddAddExistAbstractRecur(manager, E, cuddT(cube));
-    if (res2 == NULL) {
-        Cudd_RecursiveDeref(manager,res1);
-        return(NULL);
-    }
-        cuddRef(res2);
-    res = cuddAddApplyRecur(manager, Cudd_addPlus, res1, res2);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(manager,res1);
-        Cudd_RecursiveDeref(manager,res2);
-        return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(manager,res1);
-    Cudd_RecursiveDeref(manager,res2);
-    cuddCacheInsert2(manager, Cudd_addExistAbstract, f, cube, res);
-    cuddDeref(res);
-        return(res);
-    } else { /* if (cuddI(manager,f->index) < cuddI(manager,cube->index)) */
-    res1 = cuddAddExistAbstractRecur(manager, T, cube);
-    if (res1 == NULL) return(NULL);
-        cuddRef(res1);
-    res2 = cuddAddExistAbstractRecur(manager, E, cube);
-    if (res2 == NULL) {
-        Cudd_RecursiveDeref(manager,res1);
-        return(NULL);
-    }
-        cuddRef(res2);
-    res = (res1 == res2) ? res1 :
-        cuddUniqueInter(manager, (int) f->index, res1, res2);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(manager,res1);
-        Cudd_RecursiveDeref(manager,res2);
-        return(NULL);
-    }
-    cuddDeref(res1);
-    cuddDeref(res2);
-    cuddCacheInsert2(manager, Cudd_addExistAbstract, f, cube, res);
-        return(res);
-    }        
-
-} /* end of cuddAddExistAbstractRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_addUnivAbstract.]
-
-  Description [Performs the recursive step of Cudd_addUnivAbstract.
-  Returns the ADD obtained by abstracting the variables of cube from f,
-  if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-cuddAddUnivAbstractRecur(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * cube)
-{
-    DdNode    *T, *E, *res, *res1, *res2, *one, *zero;
-
-    statLine(manager);
-    one = DD_ONE(manager);
-    zero = DD_ZERO(manager);
-
-    /* Cube is guaranteed to be a cube at this point.
-    ** zero and one are the only constatnts c such that c*c=c.
-    */
-    if (f == zero || f == one || cube == one) {  
-    return(f);
-    }
-
-    /* Abstract a variable that does not appear in f. */
-    if (cuddI(manager,f->index) > cuddI(manager,cube->index)) {
-    res1 = cuddAddUnivAbstractRecur(manager, f, cuddT(cube));
-    if (res1 == NULL) return(NULL);
-    cuddRef(res1);
-    /* Use the "internal" procedure to be alerted in case of
-    ** dynamic reordering. If dynamic reordering occurs, we
-    ** have to abort the entire abstraction.
-    */
-    res = cuddAddApplyRecur(manager, Cudd_addTimes, res1, res1);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(manager,res1);
-        return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(manager,res1);
-    cuddDeref(res);
-    return(res);
-    }
-
-    if ((res = cuddCacheLookup2(manager, Cudd_addUnivAbstract, f, cube)) != NULL) {
-    return(res);
-    }
-
-    T = cuddT(f);
-    E = cuddE(f);
-
-    /* If the two indices are the same, so are their levels. */
-    if (f->index == cube->index) {
-    res1 = cuddAddUnivAbstractRecur(manager, T, cuddT(cube));
-    if (res1 == NULL) return(NULL);
-        cuddRef(res1);
-    res2 = cuddAddUnivAbstractRecur(manager, E, cuddT(cube));
-    if (res2 == NULL) {
-        Cudd_RecursiveDeref(manager,res1);
-        return(NULL);
-    }
-        cuddRef(res2);
-    res = cuddAddApplyRecur(manager, Cudd_addTimes, res1, res2);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(manager,res1);
-        Cudd_RecursiveDeref(manager,res2);
-        return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(manager,res1);
-    Cudd_RecursiveDeref(manager,res2);
-    cuddCacheInsert2(manager, Cudd_addUnivAbstract, f, cube, res);
-    cuddDeref(res);
-        return(res);
-    } else { /* if (cuddI(manager,f->index) < cuddI(manager,cube->index)) */
-    res1 = cuddAddUnivAbstractRecur(manager, T, cube);
-    if (res1 == NULL) return(NULL);
-        cuddRef(res1);
-    res2 = cuddAddUnivAbstractRecur(manager, E, cube);
-    if (res2 == NULL) {
-        Cudd_RecursiveDeref(manager,res1);
-        return(NULL);
-    }
-        cuddRef(res2);
-    res = (res1 == res2) ? res1 :
-        cuddUniqueInter(manager, (int) f->index, res1, res2);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(manager,res1);
-        Cudd_RecursiveDeref(manager,res2);
-        return(NULL);
-    }
-    cuddDeref(res1);
-    cuddDeref(res2);
-    cuddCacheInsert2(manager, Cudd_addUnivAbstract, f, cube, res);
-        return(res);
-    }
-
-} /* end of cuddAddUnivAbstractRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_addOrAbstract.]
-
-  Description [Performs the recursive step of Cudd_addOrAbstract.
-  Returns the ADD obtained by abstracting the variables of cube from f,
-  if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-cuddAddOrAbstractRecur(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * cube)
-{
-    DdNode    *T, *E, *res, *res1, *res2, *one;
-
-    statLine(manager);
-    one = DD_ONE(manager);
-
-    /* Cube is guaranteed to be a cube at this point. */
-    if (cuddIsConstant(f) || cube == one) {  
-    return(f);
-    }
-
-    /* Abstract a variable that does not appear in f. */
-    if (cuddI(manager,f->index) > cuddI(manager,cube->index)) {
-    res1 = cuddAddOrAbstractRecur(manager, f, cuddT(cube));
-    if (res1 == NULL) return(NULL);
-    cuddRef(res1);
-    /* Use the "internal" procedure to be alerted in case of
-    ** dynamic reordering. If dynamic reordering occurs, we
-    ** have to abort the entire abstraction.
-    */
-    res = cuddAddApplyRecur(manager, Cudd_addOr, res1, res1);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(manager,res1);
-        return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(manager,res1);
-    cuddDeref(res);
-    return(res);
-    }
-
-    if ((res = cuddCacheLookup2(manager, Cudd_addOrAbstract, f, cube)) != NULL) {
-    return(res);
-    }
-
-    T = cuddT(f);
-    E = cuddE(f);
-
-    /* If the two indices are the same, so are their levels. */
-    if (f->index == cube->index) {
-    res1 = cuddAddOrAbstractRecur(manager, T, cuddT(cube));
-    if (res1 == NULL) return(NULL);
-        cuddRef(res1);
-    if (res1 != one) {
-        res2 = cuddAddOrAbstractRecur(manager, E, cuddT(cube));
-        if (res2 == NULL) {
-        Cudd_RecursiveDeref(manager,res1);
-        return(NULL);
-        }
-        cuddRef(res2);
-        res = cuddAddApplyRecur(manager, Cudd_addOr, res1, res2);
-        if (res == NULL) {
-        Cudd_RecursiveDeref(manager,res1);
-        Cudd_RecursiveDeref(manager,res2);
-        return(NULL);
-        }
-        cuddRef(res);
-        Cudd_RecursiveDeref(manager,res1);
-        Cudd_RecursiveDeref(manager,res2);
-    } else {
-        res = res1;
-    }
-    cuddCacheInsert2(manager, Cudd_addOrAbstract, f, cube, res);
-    cuddDeref(res);
-        return(res);
-    } else { /* if (cuddI(manager,f->index) < cuddI(manager,cube->index)) */
-    res1 = cuddAddOrAbstractRecur(manager, T, cube);
-    if (res1 == NULL) return(NULL);
-        cuddRef(res1);
-    res2 = cuddAddOrAbstractRecur(manager, E, cube);
-    if (res2 == NULL) {
-        Cudd_RecursiveDeref(manager,res1);
-        return(NULL);
-    }
-        cuddRef(res2);
-    res = (res1 == res2) ? res1 :
-        cuddUniqueInter(manager, (int) f->index, res1, res2);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(manager,res1);
-        Cudd_RecursiveDeref(manager,res2);
-        return(NULL);
-    }
-    cuddDeref(res1);
-    cuddDeref(res2);
-    cuddCacheInsert2(manager, Cudd_addOrAbstract, f, cube, res);
-        return(res);
-    }
-
-} /* end of cuddAddOrAbstractRecur */
-
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks whether cube is an ADD representing the product
-  of positive literals.]
-
-  Description [Checks whether cube is an ADD representing the product of
-  positive literals. Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-addCheckPositiveCube(
-  DdManager * manager,
-  DdNode * cube)
-{
-    if (Cudd_IsComplement(cube)) return(0);
-    if (cube == DD_ONE(manager)) return(1);
-    if (cuddIsConstant(cube)) return(0);
-    if (cuddE(cube) == DD_ZERO(manager)) {
-        return(addCheckPositiveCube(manager, cuddT(cube)));
-    }
-    return(0);
-
-} /* end of addCheckPositiveCube */
-
diff --git a/src/bdd/cudd/cuddAddApply.c b/src/bdd/cudd/cuddAddApply.c
deleted file mode 100644
index 60c06de6..00000000
--- a/src/bdd/cudd/cuddAddApply.c
+++ /dev/null
@@ -1,917 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddAddApply.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Apply functions for ADDs and their operators.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_addApply()
-        <li> Cudd_addMonadicApply()
-        <li> Cudd_addPlus()
-        <li> Cudd_addTimes()
-        <li> Cudd_addThreshold()
-        <li> Cudd_addSetNZ()
-        <li> Cudd_addDivide()
-        <li> Cudd_addMinus()
-        <li> Cudd_addMinimum()
-        <li> Cudd_addMaximum()
-        <li> Cudd_addOneZeroMaximum()
-        <li> Cudd_addDiff()
-        <li> Cudd_addAgreement()
-        <li> Cudd_addOr()
-        <li> Cudd_addNand()
-        <li> Cudd_addNor()
-        <li> Cudd_addXor()
-        <li> Cudd_addXnor()
-        </ul>
-        Internal procedures included in this module:
-        <ul>
-        <li> cuddAddApplyRecur()
-        <li> cuddAddMonadicApplyRecur()
-        </ul>]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at Boulder.
-  The University of Colorado at Boulder makes no warranty about the
-  suitability of this software for any purpose.  It is presented on an
-  AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddAddApply.c,v 1.1.1.1 2003/02/24 22:23:50 wjiang Exp $";
-#endif
-
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis    [Applies op to the corresponding discriminants of f and g.]
-
-  Description [Applies op to the corresponding discriminants of f and g.
-  Returns a pointer to the result if succssful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addMonadicApply Cudd_addPlus Cudd_addTimes
-  Cudd_addThreshold Cudd_addSetNZ Cudd_addDivide Cudd_addMinus Cudd_addMinimum
-  Cudd_addMaximum Cudd_addOneZeroMaximum Cudd_addDiff Cudd_addAgreement
-  Cudd_addOr Cudd_addNand Cudd_addNor Cudd_addXor Cudd_addXnor]
-
-******************************************************************************/
-DdNode *
-Cudd_addApply(
-  DdManager * dd,
-  DdNode * (*op)(DdManager *, DdNode **, DdNode **),
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddAddApplyRecur(dd,op,f,g);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_addApply */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Integer and floating point addition.]
-
-  Description [Integer and floating point addition. Returns NULL if not
-  a terminal case; f+g otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addPlus(
-  DdManager * dd,
-  DdNode ** f,
-  DdNode ** g)
-{
-    DdNode *res;
-    DdNode *F, *G;
-    CUDD_VALUE_TYPE value;
-
-    F = *f; G = *g;
-    if (F == DD_ZERO(dd)) return(G);
-    if (G == DD_ZERO(dd)) return(F);
-    if (cuddIsConstant(F) && cuddIsConstant(G)) {
-    value = cuddV(F)+cuddV(G);
-    res = cuddUniqueConst(dd,value);
-    return(res);
-    }
-    if (F > G) { /* swap f and g */
-    *f = G;
-    *g = F;
-    }
-    return(NULL);
-
-} /* end of Cudd_addPlus */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Integer and floating point multiplication.]
-
-  Description [Integer and floating point multiplication. Returns NULL
-  if not a terminal case; f * g otherwise.  This function can be used also
-  to take the AND of two 0-1 ADDs.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addTimes(
-  DdManager * dd,
-  DdNode ** f,
-  DdNode ** g)
-{
-    DdNode *res;
-    DdNode *F, *G;
-    CUDD_VALUE_TYPE value;
-
-    F = *f; G = *g;
-    if (F == DD_ZERO(dd) || G == DD_ZERO(dd)) return(DD_ZERO(dd));
-    if (F == DD_ONE(dd)) return(G);
-    if (G == DD_ONE(dd)) return(F);
-    if (cuddIsConstant(F) && cuddIsConstant(G)) {
-    value = cuddV(F)*cuddV(G);
-    res = cuddUniqueConst(dd,value);
-    return(res);
-    }
-    if (F > G) { /* swap f and g */
-    *f = G;
-    *g = F;
-    }
-    return(NULL);
-
-} /* end of Cudd_addTimes */
-
-
-/**Function********************************************************************
-
-  Synopsis    [f if f&gt;=g; 0 if f&lt;g.]
-
-  Description [Threshold operator for Apply (f if f &gt;=g; 0 if f&lt;g).
-  Returns NULL if not a terminal case; f op g otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addThreshold(
-  DdManager * dd,
-  DdNode ** f,
-  DdNode ** g)
-{
-    DdNode *F, *G;
-
-    F = *f; G = *g;
-    if (F == G || F == DD_PLUS_INFINITY(dd)) return(F);
-    if (cuddIsConstant(F) && cuddIsConstant(G)) {
-    if (cuddV(F) >= cuddV(G)) {
-        return(F);
-    } else {
-        return(DD_ZERO(dd));
-    }
-    }
-    return(NULL);
-
-} /* end of Cudd_addThreshold */
-
-
-/**Function********************************************************************
-
-  Synopsis    [This operator sets f to the value of g wherever g != 0.]
-
-  Description [This operator sets f to the value of g wherever g != 0.
-  Returns NULL if not a terminal case; f op g otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addSetNZ(
-  DdManager * dd,
-  DdNode ** f,
-  DdNode ** g)
-{
-    DdNode *F, *G;
-
-    F = *f; G = *g;
-    if (F == G) return(F);
-    if (F == DD_ZERO(dd)) return(G);
-    if (G == DD_ZERO(dd)) return(F);
-    if (cuddIsConstant(G)) return(G);
-    return(NULL);
-
-} /* end of Cudd_addSetNZ */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Integer and floating point division.]
-
-  Description [Integer and floating point division. Returns NULL if not
-  a terminal case; f / g otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addDivide(
-  DdManager * dd,
-  DdNode ** f,
-  DdNode ** g)
-{
-    DdNode *res;
-    DdNode *F, *G;
-    CUDD_VALUE_TYPE value;
-
-    F = *f; G = *g;
-    /* We would like to use F == G -> F/G == 1, but F and G may
-    ** contain zeroes. */
-    if (F == DD_ZERO(dd)) return(DD_ZERO(dd));
-    if (G == DD_ONE(dd)) return(F);
-    if (cuddIsConstant(F) && cuddIsConstant(G)) {
-    value = cuddV(F)/cuddV(G);
-    res = cuddUniqueConst(dd,value);
-    return(res);
-    }
-    return(NULL);
-
-} /* end of Cudd_addDivide */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Integer and floating point subtraction.]
-
-  Description [Integer and floating point subtraction. Returns NULL if
-  not a terminal case; f - g otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addMinus(
-  DdManager * dd,
-  DdNode ** f,
-  DdNode ** g)
-{
-    DdNode *res;
-    DdNode *F, *G;
-    CUDD_VALUE_TYPE value;
-
-    F = *f; G = *g;
-    if (F == G) return(DD_ZERO(dd));
-    if (F == DD_ZERO(dd)) return(cuddAddNegateRecur(dd,G));
-    if (G == DD_ZERO(dd)) return(F);
-    if (cuddIsConstant(F) && cuddIsConstant(G)) {
-    value = cuddV(F)-cuddV(G);
-    res = cuddUniqueConst(dd,value);
-    return(res);
-    }
-    return(NULL);
-
-} /* end of Cudd_addMinus */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Integer and floating point min.]
-
-  Description [Integer and floating point min for Cudd_addApply.
-  Returns NULL if not a terminal case; min(f,g) otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addMinimum(
-  DdManager * dd,
-  DdNode ** f,
-  DdNode ** g)
-{
-    DdNode *F, *G;
-
-    F = *f; G = *g;
-    if (F == DD_PLUS_INFINITY(dd)) return(G);
-    if (G == DD_PLUS_INFINITY(dd)) return(F);
-    if (F == G) return(F);
-#if 0
-    /* These special cases probably do not pay off. */
-    if (F == DD_MINUS_INFINITY(dd)) return(F);
-    if (G == DD_MINUS_INFINITY(dd)) return(G);
-#endif
-    if (cuddIsConstant(F) && cuddIsConstant(G)) {
-    if (cuddV(F) <= cuddV(G)) {
-        return(F);
-    } else {
-        return(G);
-    }
-    }
-    if (F > G) { /* swap f and g */
-    *f = G;
-    *g = F;
-    }
-    return(NULL);
-
-} /* end of Cudd_addMinimum */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Integer and floating point max.]
-
-  Description [Integer and floating point max for Cudd_addApply.
-  Returns NULL if not a terminal case; max(f,g) otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addMaximum(
-  DdManager * dd,
-  DdNode ** f,
-  DdNode ** g)
-{
-    DdNode *F, *G;
-
-    F = *f; G = *g;
-    if (F == G) return(F);
-    if (F == DD_MINUS_INFINITY(dd)) return(G);
-    if (G == DD_MINUS_INFINITY(dd)) return(F);
-#if 0
-    /* These special cases probably do not pay off. */
-    if (F == DD_PLUS_INFINITY(dd)) return(F);
-    if (G == DD_PLUS_INFINITY(dd)) return(G);
-#endif
-    if (cuddIsConstant(F) && cuddIsConstant(G)) {
-    if (cuddV(F) >= cuddV(G)) {
-        return(F);
-    } else {
-        return(G);
-    }
-    }
-    if (F > G) { /* swap f and g */
-    *f = G;
-    *g = F;
-    }
-    return(NULL);
-
-} /* end of Cudd_addMaximum */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns 1 if f &gt; g and 0 otherwise.]
-
-  Description [Returns 1 if f &gt; g and 0 otherwise. Used in
-  conjunction with Cudd_addApply. Returns NULL if not a terminal
-  case.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addOneZeroMaximum(
-  DdManager * dd,
-  DdNode ** f,
-  DdNode ** g)
-{
-
-    if (*f == *g) return(DD_ZERO(dd));
-    if (*g == DD_PLUS_INFINITY(dd))
-    return DD_ZERO(dd);
-    if (cuddIsConstant(*f) && cuddIsConstant(*g)) {
-    if (cuddV(*f) > cuddV(*g)) {
-        return(DD_ONE(dd));
-    } else {
-        return(DD_ZERO(dd));
-    }
-    }
-
-    return(NULL);
-
-} /* end of Cudd_addOneZeroMaximum */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns plusinfinity if f=g; returns min(f,g) if f!=g.]
-
-  Description [Returns NULL if not a terminal case; f op g otherwise,
-  where f op g is plusinfinity if f=g; min(f,g) if f!=g.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addDiff(
-  DdManager * dd,
-  DdNode ** f,
-  DdNode ** g)
-{
-    DdNode *F, *G;
-
-    F = *f; G = *g;
-    if (F == G) return(DD_PLUS_INFINITY(dd));
-    if (F == DD_PLUS_INFINITY(dd)) return(G);
-    if (G == DD_PLUS_INFINITY(dd)) return(F);
-    if (cuddIsConstant(F) && cuddIsConstant(G)) {
-    if (cuddV(F) != cuddV(G)) {
-            if (cuddV(F) < cuddV(G)) {
-                return(F);
-            } else {
-                return(G);
-            }
-    } else {
-        return(DD_PLUS_INFINITY(dd));
-    }
-    }
-    return(NULL);
-
-} /* end of Cudd_addDiff */
-
-
-/**Function********************************************************************
-
-  Synopsis    [f if f==g; background if f!=g.]
-
-  Description [Returns NULL if not a terminal case; f op g otherwise,
-  where f op g is f if f==g; background if f!=g.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addAgreement(
-  DdManager * dd,
-  DdNode ** f,
-  DdNode ** g)
-{
-    DdNode *F, *G;
-
-    F = *f; G = *g;
-    if (F == G) return(F);
-    if (F == dd->background) return(F);
-    if (G == dd->background) return(G);
-    if (cuddIsConstant(F) && cuddIsConstant(G)) return(dd->background);
-    return(NULL);
-
-} /* end of Cudd_addAgreement */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Disjunction of two 0-1 ADDs.]
-
-  Description [Disjunction of two 0-1 ADDs. Returns NULL
-  if not a terminal case; f OR g otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addOr(
-  DdManager * dd,
-  DdNode ** f,
-  DdNode ** g)
-{
-    DdNode *F, *G;
-
-    F = *f; G = *g;
-    if (F == DD_ONE(dd) || G == DD_ONE(dd)) return(DD_ONE(dd));
-    if (cuddIsConstant(F)) return(G);
-    if (cuddIsConstant(G)) return(F);
-    if (F == G) return(F);
-    if (F > G) { /* swap f and g */
-    *f = G;
-    *g = F;
-    }
-    return(NULL);
-
-} /* end of Cudd_addOr */
-
-
-/**Function********************************************************************
-
-  Synopsis    [NAND of two 0-1 ADDs.]
-
-  Description [NAND of two 0-1 ADDs. Returns NULL
-  if not a terminal case; f NAND g otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addNand(
-  DdManager * dd,
-  DdNode ** f,
-  DdNode ** g)
-{
-    DdNode *F, *G;
-
-    F = *f; G = *g;
-    if (F == DD_ZERO(dd) || G == DD_ZERO(dd)) return(DD_ONE(dd));
-    if (cuddIsConstant(F) && cuddIsConstant(G)) return(DD_ZERO(dd));
-    if (F > G) { /* swap f and g */
-    *f = G;
-    *g = F;
-    }
-    return(NULL);
-
-} /* end of Cudd_addNand */
-
-
-/**Function********************************************************************
-
-  Synopsis    [NOR of two 0-1 ADDs.]
-
-  Description [NOR of two 0-1 ADDs. Returns NULL
-  if not a terminal case; f NOR g otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addNor(
-  DdManager * dd,
-  DdNode ** f,
-  DdNode ** g)
-{
-    DdNode *F, *G;
-
-    F = *f; G = *g;
-    if (F == DD_ONE(dd) || G == DD_ONE(dd)) return(DD_ZERO(dd));
-    if (cuddIsConstant(F) && cuddIsConstant(G)) return(DD_ONE(dd));
-    if (F > G) { /* swap f and g */
-    *f = G;
-    *g = F;
-    }
-    return(NULL);
-
-} /* end of Cudd_addNor */
-
-
-/**Function********************************************************************
-
-  Synopsis    [XOR of two 0-1 ADDs.]
-
-  Description [XOR of two 0-1 ADDs. Returns NULL
-  if not a terminal case; f XOR g otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addXor(
-  DdManager * dd,
-  DdNode ** f,
-  DdNode ** g)
-{
-    DdNode *F, *G;
-
-    F = *f; G = *g;
-    if (F == G) return(DD_ZERO(dd));
-    if (F == DD_ONE(dd) && G == DD_ZERO(dd)) return(DD_ONE(dd));
-    if (G == DD_ONE(dd) && F == DD_ZERO(dd)) return(DD_ONE(dd));
-    if (cuddIsConstant(F) && cuddIsConstant(G)) return(DD_ZERO(dd));
-    if (F > G) { /* swap f and g */
-    *f = G;
-    *g = F;
-    }
-    return(NULL);
-
-} /* end of Cudd_addXor */
-
-
-/**Function********************************************************************
-
-  Synopsis    [XNOR of two 0-1 ADDs.]
-
-  Description [XNOR of two 0-1 ADDs. Returns NULL
-  if not a terminal case; f XNOR g otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addXnor(
-  DdManager * dd,
-  DdNode ** f,
-  DdNode ** g)
-{
-    DdNode *F, *G;
-
-    F = *f; G = *g;
-    if (F == G) return(DD_ONE(dd));
-    if (F == DD_ONE(dd) && G == DD_ONE(dd)) return(DD_ONE(dd));
-    if (G == DD_ZERO(dd) && F == DD_ZERO(dd)) return(DD_ONE(dd));
-    if (cuddIsConstant(F) && cuddIsConstant(G)) return(DD_ZERO(dd));
-    if (F > G) { /* swap f and g */
-    *f = G;
-    *g = F;
-    }
-    return(NULL);
-
-} /* end of Cudd_addXnor */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Applies op to the discriminants of f.]
-
-  Description [Applies op to the discriminants of f.
-  Returns a pointer to the result if succssful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addApply Cudd_addLog]
-
-******************************************************************************/
-DdNode *
-Cudd_addMonadicApply(
-  DdManager * dd,
-  DdNode * (*op)(DdManager *, DdNode *),
-  DdNode * f)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddAddMonadicApplyRecur(dd,op,f);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_addMonadicApply */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Natural logarithm of an ADD.]
-
-  Description [Natural logarithm of an ADDs. Returns NULL
-  if not a terminal case; log(f) otherwise.  The discriminants of f must
-  be positive double's.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addMonadicApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addLog(
-  DdManager * dd,
-  DdNode * f)
-{
-    if (cuddIsConstant(f)) {
-    CUDD_VALUE_TYPE value = log(cuddV(f));
-    DdNode *res = cuddUniqueConst(dd,value);
-    return(res);
-    }
-    return(NULL);
-
-} /* end of Cudd_addLog */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_addApply.]
-
-  Description [Performs the recursive step of Cudd_addApply. Returns a
-  pointer to the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddAddMonadicApplyRecur]
-
-******************************************************************************/
-DdNode *
-cuddAddApplyRecur(
-  DdManager * dd,
-  DdNode * (*op)(DdManager *, DdNode **, DdNode **),
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *res,
-       *fv, *fvn, *gv, *gvn,
-       *T, *E;
-    unsigned int ford, gord;
-    unsigned int index;
-    DdNode *(*cacheOp)(DdManager *, DdNode *, DdNode *);
-
-    /* Check terminal cases. Op may swap f and g to increase the
-     * cache hit rate.
-     */
-    statLine(dd);
-    res = (*op)(dd,&f,&g);
-    if (res != NULL) return(res);
-
-    /* Check cache. */
-    cacheOp = (DdNode *(*)(DdManager *, DdNode *, DdNode *)) op;
-    res = cuddCacheLookup2(dd,cacheOp,f,g);
-    if (res != NULL) return(res);
-
-    /* Recursive step. */
-    ford = cuddI(dd,f->index);
-    gord = cuddI(dd,g->index);
-    if (ford <= gord) {
-    index = f->index;
-    fv = cuddT(f);
-    fvn = cuddE(f);
-    } else {
-    index = g->index;
-    fv = fvn = f;
-    }
-    if (gord <= ford) {
-    gv = cuddT(g);
-    gvn = cuddE(g);
-    } else {
-    gv = gvn = g;
-    }
-
-    T = cuddAddApplyRecur(dd,op,fv,gv);
-    if (T == NULL) return(NULL);
-    cuddRef(T);
-
-    E = cuddAddApplyRecur(dd,op,fvn,gvn);
-    if (E == NULL) {
-    Cudd_RecursiveDeref(dd,T);
-    return(NULL);
-    }
-    cuddRef(E);
-
-    res = (T == E) ? T : cuddUniqueInter(dd,(int)index,T,E);
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd, T);
-    Cudd_RecursiveDeref(dd, E);
-    return(NULL);
-    }
-    cuddDeref(T);
-    cuddDeref(E);
-
-    /* Store result. */
-    cuddCacheInsert2(dd,cacheOp,f,g,res);
-
-    return(res);
-
-} /* end of cuddAddApplyRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_addMonadicApply.]
-
-  Description [Performs the recursive step of Cudd_addMonadicApply. Returns a
-  pointer to the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddAddApplyRecur]
-
-******************************************************************************/
-DdNode *
-cuddAddMonadicApplyRecur(
-  DdManager * dd,
-  DdNode * (*op)(DdManager *, DdNode *),
-  DdNode * f)
-{
-    DdNode *res, *ft, *fe, *T, *E;
-    unsigned int ford;
-    unsigned int index;
-
-    /* Check terminal cases. */
-    statLine(dd);
-    res = (*op)(dd,f);
-    if (res != NULL) return(res);
-
-    /* Check cache. */
-    res = cuddCacheLookup1(dd,op,f);
-    if (res != NULL) return(res);
-
-    /* Recursive step. */
-    ford = cuddI(dd,f->index);
-    index = f->index;
-    ft = cuddT(f);
-    fe = cuddE(f);
-
-    T = cuddAddMonadicApplyRecur(dd,op,ft);
-    if (T == NULL) return(NULL);
-    cuddRef(T);
-
-    E = cuddAddMonadicApplyRecur(dd,op,fe);
-    if (E == NULL) {
-    Cudd_RecursiveDeref(dd,T);
-    return(NULL);
-    }
-    cuddRef(E);
-
-    res = (T == E) ? T : cuddUniqueInter(dd,(int)index,T,E);
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd, T);
-    Cudd_RecursiveDeref(dd, E);
-    return(NULL);
-    }
-    cuddDeref(T);
-    cuddDeref(E);
-
-    /* Store result. */
-    cuddCacheInsert1(dd,op,f,res);
-
-    return(res);
-
-} /* end of cuddAddMonadicApplyRecur */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
diff --git a/src/bdd/cudd/cuddAddFind.c b/src/bdd/cudd/cuddAddFind.c
deleted file mode 100644
index 0469b014..00000000
--- a/src/bdd/cudd/cuddAddFind.c
+++ /dev/null
@@ -1,283 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddAddFind.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions to find maximum and minimum in an ADD and to
-  extract the i-th bit.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_addFindMax()
-        <li> Cudd_addFindMin()
-        <li> Cudd_addIthBit()
-        </ul>
-           Static functions included in this module:
-        <ul>
-        <li> addDoIthBit()
-        </ul>]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddAddFind.c,v 1.1.1.1 2003/02/24 22:23:50 wjiang Exp $";
-#endif
-
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static DdNode * addDoIthBit ARGS((DdManager *dd, DdNode *f, DdNode *index));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the maximum discriminant of f.]
-
-  Description [Returns a pointer to a constant ADD.]
-
-  SideEffects [None]
-
-******************************************************************************/
-DdNode *
-Cudd_addFindMax(
-  DdManager * dd,
-  DdNode * f)
-{
-    DdNode *t, *e, *res;
-
-    statLine(dd);
-    if (cuddIsConstant(f)) {
-    return(f);
-    }
-
-    res = cuddCacheLookup1(dd,Cudd_addFindMax,f);
-    if (res != NULL) {
-    return(res);
-    }
-
-    t  = Cudd_addFindMax(dd,cuddT(f));
-    if (t == DD_PLUS_INFINITY(dd)) return(t);
-
-    e  = Cudd_addFindMax(dd,cuddE(f));
-
-    res = (cuddV(t) >= cuddV(e)) ? t : e;
-
-    cuddCacheInsert1(dd,Cudd_addFindMax,f,res);
-
-    return(res);
-
-} /* end of Cudd_addFindMax */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the minimum discriminant of f.]
-
-  Description [Returns a pointer to a constant ADD.]
-
-  SideEffects [None]
-
-******************************************************************************/
-DdNode *
-Cudd_addFindMin(
-  DdManager * dd,
-  DdNode * f)
-{
-    DdNode *t, *e, *res;
-
-    statLine(dd);
-    if (cuddIsConstant(f)) {
-    return(f);
-    }
-
-    res = cuddCacheLookup1(dd,Cudd_addFindMin,f);
-    if (res != NULL) {
-    return(res);
-    }
-
-    t  = Cudd_addFindMin(dd,cuddT(f));
-    if (t == DD_MINUS_INFINITY(dd)) return(t);
-
-    e  = Cudd_addFindMin(dd,cuddE(f));
-
-    res = (cuddV(t) <= cuddV(e)) ? t : e;
-
-    cuddCacheInsert1(dd,Cudd_addFindMin,f,res);
-
-    return(res);
-
-} /* end of Cudd_addFindMin */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Extracts the i-th bit from an ADD.]
-
-  Description [Produces an ADD from another ADD by replacing all
-  discriminants whose i-th bit is equal to 1 with 1, and all other
-  discriminants with 0. The i-th bit refers to the integer
-  representation of the leaf value. If the value is has a fractional
-  part, it is ignored. Repeated calls to this procedure allow one to
-  transform an integer-valued ADD into an array of ADDs, one for each
-  bit of the leaf values. Returns a pointer to the resulting ADD if
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addBddIthBit]
-
-******************************************************************************/
-DdNode *
-Cudd_addIthBit(
-  DdManager * dd,
-  DdNode * f,
-  int  bit)
-{
-    DdNode *res;
-    DdNode *index;
-    
-    /* Use a constant node to remember the bit, so that we can use the
-    ** global cache.
-    */
-    index = cuddUniqueConst(dd,(CUDD_VALUE_TYPE) bit);
-    if (index == NULL) return(NULL);
-    cuddRef(index);
-
-    do {
-    dd->reordered = 0;
-    res = addDoIthBit(dd, f, index);
-    } while (dd->reordered == 1);
-
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd, index);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(dd, index);
-    cuddDeref(res);
-    return(res);
-
-} /* end of Cudd_addIthBit */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step for Cudd_addIthBit.]
-
-  Description [Performs the recursive step for Cudd_addIthBit.
-  Returns a pointer to the BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static DdNode *
-addDoIthBit(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * index)
-{
-    DdNode *res, *T, *E;
-    DdNode *fv, *fvn;
-    int mask, value;
-    int v;
-
-    statLine(dd);
-    /* Check terminal case. */
-    if (cuddIsConstant(f)) {
-    mask = 1 << ((int) cuddV(index));
-    value = (int) cuddV(f);
-    return((value & mask) == 0 ? DD_ZERO(dd) : DD_ONE(dd));
-    }
-
-    /* Check cache. */
-    res = cuddCacheLookup2(dd,addDoIthBit,f,index);
-    if (res != NULL) return(res);
-
-    /* Recursive step. */
-    v = f->index;
-    fv = cuddT(f); fvn = cuddE(f);
-
-    T = addDoIthBit(dd,fv,index);
-    if (T == NULL) return(NULL);
-    cuddRef(T);
-
-    E = addDoIthBit(dd,fvn,index);
-    if (E == NULL) {
-    Cudd_RecursiveDeref(dd, T);
-    return(NULL);
-    }
-    cuddRef(E);
-
-    res = (T == E) ? T : cuddUniqueInter(dd,v,T,E);
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd, T);
-    Cudd_RecursiveDeref(dd, E);
-    return(NULL);
-    }
-    cuddDeref(T);
-    cuddDeref(E);
-
-    /* Store result. */
-    cuddCacheInsert2(dd,addDoIthBit,f,index,res);
-
-    return(res);
-
-} /* end of addDoIthBit */
-
diff --git a/src/bdd/cudd/cuddAddInv.c b/src/bdd/cudd/cuddAddInv.c
deleted file mode 100644
index fc4a340b..00000000
--- a/src/bdd/cudd/cuddAddInv.c
+++ /dev/null
@@ -1,172 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddAddInv.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Function to compute the scalar inverse of an ADD.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_addScalarInverse()
-        </ul>
-        Internal procedures included in this module:
-        <ul>
-        <li> cuddAddScalarInverseRecur()
-        </ul>]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddAddInv.c,v 1.1.1.1 2003/02/24 22:23:50 wjiang Exp $";
-#endif
-
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the scalar inverse of an ADD.]
-  
-  Description [Computes an n ADD where the discriminants are the
-  multiplicative inverses of the corresponding discriminants of the
-  argument ADD.  Returns a pointer to the resulting ADD in case of
-  success. Returns NULL if any discriminants smaller than epsilon is
-  encountered.]
-
-  SideEffects [None]
-
-******************************************************************************/
-DdNode *
-Cudd_addScalarInverse(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * epsilon)
-{
-    DdNode *res;
-
-    if (!cuddIsConstant(epsilon)) {
-    (void) fprintf(dd->err,"Invalid epsilon\n");
-    return(NULL);
-    }
-    do {
-    dd->reordered = 0;
-    res  = cuddAddScalarInverseRecur(dd,f,epsilon);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_addScalarInverse */
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of addScalarInverse.]
-
-  Description [Returns a pointer to the resulting ADD in case of
-  success. Returns NULL if any discriminants smaller than epsilon is
-  encountered.]
-
-  SideEffects [None]
-
-******************************************************************************/
-DdNode *
-cuddAddScalarInverseRecur(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * epsilon)
-{
-    DdNode *t, *e, *res;
-    CUDD_VALUE_TYPE value;
-
-    statLine(dd);
-    if (cuddIsConstant(f)) {
-    if (ddAbs(cuddV(f)) < cuddV(epsilon)) return(NULL);
-    value = 1.0 / cuddV(f);
-    res = cuddUniqueConst(dd,value);
-    return(res);
-    }
-
-    res = cuddCacheLookup2(dd,Cudd_addScalarInverse,f,epsilon);
-    if (res != NULL) return(res);
-
-    t = cuddAddScalarInverseRecur(dd,cuddT(f),epsilon);
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-
-    e = cuddAddScalarInverseRecur(dd,cuddE(f),epsilon);
-    if (e == NULL) {
-    Cudd_RecursiveDeref(dd, t);
-    return(NULL);
-    }
-    cuddRef(e);
-
-    res = (t == e) ? t : cuddUniqueInter(dd,(int)f->index,t,e);
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd, t);
-    Cudd_RecursiveDeref(dd, e);
-    return(NULL);
-    }
-
-    cuddCacheInsert2(dd,Cudd_addScalarInverse,f,epsilon,res);
-
-    return(res);
-
-} /* end of cuddAddScalarInverseRecur */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
diff --git a/src/bdd/cudd/cuddAddIte.c b/src/bdd/cudd/cuddAddIte.c
deleted file mode 100644
index 71f8070f..00000000
--- a/src/bdd/cudd/cuddAddIte.c
+++ /dev/null
@@ -1,613 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddAddIte.c]
-
-  PackageName [cudd]
-
-  Synopsis    [ADD ITE function and satellites.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_addIte()
-        <li> Cudd_addIteConstant()
-        <li> Cudd_addEvalConst()
-        <li> Cudd_addCmpl()
-        <li> Cudd_addLeq()
-        </ul>
-    Internal procedures included in this module:
-        <ul>
-        <li> cuddAddIteRecur()
-        <li> cuddAddCmplRecur()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> addVarToConst()
-        </ul>]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddAddIte.c,v 1.1.1.1 2003/02/24 22:23:50 wjiang Exp $";
-#endif
-
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static void addVarToConst ARGS((DdNode *f, DdNode **gp, DdNode **hp, DdNode *one, DdNode *zero));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implements ITE(f,g,h).]
-
-  Description [Implements ITE(f,g,h). This procedure assumes that f is
-  a 0-1 ADD.  Returns a pointer to the resulting ADD if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddIte Cudd_addIteConstant Cudd_addApply]
-
-******************************************************************************/
-DdNode *
-Cudd_addIte(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g,
-  DdNode * h)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddAddIteRecur(dd,f,g,h);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_addIte */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implements ITEconstant for ADDs.]
-
-  Description [Implements ITEconstant for ADDs.  f must be a 0-1 ADD.
-  Returns a pointer to the resulting ADD (which may or may not be
-  constant) or DD_NON_CONSTANT. No new nodes are created. This function
-  can be used, for instance, to check that g has a constant value
-  (specified by h) whenever f is 1. If the constant value is unknown,
-  then one should use Cudd_addEvalConst.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addIte Cudd_addEvalConst Cudd_bddIteConstant]
-
-******************************************************************************/
-DdNode *
-Cudd_addIteConstant(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g,
-  DdNode * h)
-{
-    DdNode *one,*zero;
-    DdNode *Fv,*Fnv,*Gv,*Gnv,*Hv,*Hnv,*r,*t,*e;
-    unsigned int topf,topg,toph,v;
-
-    statLine(dd);
-    /* Trivial cases. */
-    if (f == (one = DD_ONE(dd))) {    /* ITE(1,G,H) = G */
-        return(g);
-    }
-    if (f == (zero = DD_ZERO(dd))) {    /* ITE(0,G,H) = H */
-        return(h);
-    }
-
-    /* From now on, f is known not to be a constant. */
-    addVarToConst(f,&g,&h,one,zero);
-
-    /* Check remaining one variable cases. */
-    if (g == h) {             /* ITE(F,G,G) = G */
-        return(g);
-    }
-    if (cuddIsConstant(g) && cuddIsConstant(h)) {
-        return(DD_NON_CONSTANT);
-    }
-
-    topf = cuddI(dd,f->index);
-    topg = cuddI(dd,g->index);
-    toph = cuddI(dd,h->index);
-    v = ddMin(topg,toph);
-
-    /* ITE(F,G,H) = (x,G,H) (non constant) if F = (x,1,0), x < top(G,H). */
-    if (topf < v && cuddIsConstant(cuddT(f)) && cuddIsConstant(cuddE(f))) {
-    return(DD_NON_CONSTANT);
-    }
-
-    /* Check cache. */
-    r = cuddConstantLookup(dd,DD_ADD_ITE_CONSTANT_TAG,f,g,h);
-    if (r != NULL) {
-        return(r);
-    }
-
-    /* Compute cofactors. */
-    if (topf <= v) {
-    v = ddMin(topf,v);    /* v = top_var(F,G,H) */
-        Fv = cuddT(f); Fnv = cuddE(f);
-    } else {
-        Fv = Fnv = f;
-    }
-    if (topg == v) {
-        Gv = cuddT(g); Gnv = cuddE(g);
-    } else {
-        Gv = Gnv = g;
-    }
-    if (toph == v) {
-        Hv = cuddT(h); Hnv = cuddE(h);
-    } else {
-        Hv = Hnv = h;
-    }
-    
-    /* Recursive step. */
-    t = Cudd_addIteConstant(dd,Fv,Gv,Hv);
-    if (t == DD_NON_CONSTANT || !cuddIsConstant(t)) {
-    cuddCacheInsert(dd, DD_ADD_ITE_CONSTANT_TAG, f, g, h, DD_NON_CONSTANT);
-    return(DD_NON_CONSTANT);
-    }
-    e = Cudd_addIteConstant(dd,Fnv,Gnv,Hnv);
-    if (e == DD_NON_CONSTANT || !cuddIsConstant(e) || t != e) {
-    cuddCacheInsert(dd, DD_ADD_ITE_CONSTANT_TAG, f, g, h, DD_NON_CONSTANT);
-    return(DD_NON_CONSTANT);
-    }
-    cuddCacheInsert(dd, DD_ADD_ITE_CONSTANT_TAG, f, g, h, t);
-    return(t);
-
-} /* end of Cudd_addIteConstant */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks whether ADD g is constant whenever ADD f is 1.]
-
-  Description [Checks whether ADD g is constant whenever ADD f is 1.  f
-  must be a 0-1 ADD.  Returns a pointer to the resulting ADD (which may
-  or may not be constant) or DD_NON_CONSTANT. If f is identically 0,
-  the check is assumed to be successful, and the background value is
-  returned. No new nodes are created.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addIteConstant Cudd_addLeq]
-
-******************************************************************************/
-DdNode *
-Cudd_addEvalConst(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *zero;
-    DdNode *Fv,*Fnv,*Gv,*Gnv,*r,*t,*e;
-    unsigned int topf,topg;
-
-#ifdef DD_DEBUG
-    assert(!Cudd_IsComplement(f));
-#endif
-
-    statLine(dd);
-    /* Terminal cases. */
-    if (f == DD_ONE(dd) || cuddIsConstant(g)) {
-        return(g);
-    }
-    if (f == (zero = DD_ZERO(dd))) {
-        return(dd->background);
-    }
-
-#ifdef DD_DEBUG
-    assert(!cuddIsConstant(f));
-#endif
-    /* From now on, f and g are known not to be constants. */
-
-    topf = cuddI(dd,f->index);
-    topg = cuddI(dd,g->index);
-
-    /* Check cache. */
-    r = cuddConstantLookup(dd,DD_ADD_EVAL_CONST_TAG,f,g,g);
-    if (r != NULL) {
-        return(r);
-    }
-
-    /* Compute cofactors. */
-    if (topf <= topg) {
-        Fv = cuddT(f); Fnv = cuddE(f);
-    } else {
-        Fv = Fnv = f;
-    }
-    if (topg <= topf) {
-        Gv = cuddT(g); Gnv = cuddE(g);
-    } else {
-        Gv = Gnv = g;
-    }
-    
-    /* Recursive step. */
-    if (Fv != zero) {
-    t = Cudd_addEvalConst(dd,Fv,Gv);
-    if (t == DD_NON_CONSTANT || !cuddIsConstant(t)) {
-        cuddCacheInsert2(dd, Cudd_addEvalConst, f, g, DD_NON_CONSTANT);
-        return(DD_NON_CONSTANT);
-    }
-    if (Fnv != zero) {
-        e = Cudd_addEvalConst(dd,Fnv,Gnv);
-        if (e == DD_NON_CONSTANT || !cuddIsConstant(e) || t != e) {
-        cuddCacheInsert2(dd, Cudd_addEvalConst, f, g, DD_NON_CONSTANT);
-        return(DD_NON_CONSTANT);
-        }
-    }
-    cuddCacheInsert2(dd,Cudd_addEvalConst,f,g,t);
-    return(t);
-    } else { /* Fnv must be != zero */
-    e = Cudd_addEvalConst(dd,Fnv,Gnv);
-    cuddCacheInsert2(dd, Cudd_addEvalConst, f, g, e);
-    return(e);
-    }
-
-} /* end of Cudd_addEvalConst */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the complement of an ADD a la C language.]
-
-  Description [Computes the complement of an ADD a la C language: The
-  complement of 0 is 1 and the complement of everything else is 0.
-  Returns a pointer to the resulting ADD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addNegate]
-
-******************************************************************************/
-DdNode *
-Cudd_addCmpl(
-  DdManager * dd,
-  DdNode * f)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddAddCmplRecur(dd,f);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_addCmpl */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Determines whether f is less than or equal to g.]
-
-  Description [Returns 1 if f is less than or equal to g; 0 otherwise.
-  No new nodes are created. This procedure works for arbitrary ADDs.
-  For 0-1 ADDs Cudd_addEvalConst is more efficient.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addIteConstant Cudd_addEvalConst Cudd_bddLeq]
-
-******************************************************************************/
-int
-Cudd_addLeq(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *tmp, *fv, *fvn, *gv, *gvn;
-    unsigned int topf, topg, res;
-
-    /* Terminal cases. */
-    if (f == g) return(1);
-
-    statLine(dd);
-    if (cuddIsConstant(f)) {
-    if (cuddIsConstant(g)) return(cuddV(f) <= cuddV(g));
-    if (f == DD_MINUS_INFINITY(dd)) return(1);
-    if (f == DD_PLUS_INFINITY(dd)) return(0); /* since f != g */
-    }
-    if (g == DD_PLUS_INFINITY(dd)) return(1);
-    if (g == DD_MINUS_INFINITY(dd)) return(0); /* since f != g */
-
-    /* Check cache. */
-    tmp = cuddCacheLookup2(dd,(DdNode * (*)(DdManager *, DdNode *,
-               DdNode *))Cudd_addLeq,f,g);
-    if (tmp != NULL) {
-    return(tmp == DD_ONE(dd));
-    }
-
-    /* Compute cofactors. One of f and g is not constant. */
-    topf = cuddI(dd,f->index);
-    topg = cuddI(dd,g->index);
-    if (topf <= topg) {
-    fv = cuddT(f); fvn = cuddE(f);
-    } else {
-    fv = fvn = f;
-    }
-    if (topg <= topf) {
-    gv = cuddT(g); gvn = cuddE(g);
-    } else {
-    gv = gvn = g;
-    }
-
-    res = Cudd_addLeq(dd,fvn,gvn) && Cudd_addLeq(dd,fv,gv);
-
-    /* Store result in cache and return. */
-    cuddCacheInsert2(dd,(DdNode * (*)(DdManager *, DdNode *, DdNode *))
-             Cudd_addLeq,f,g,Cudd_NotCond(DD_ONE(dd),res==0));
-    return(res);
-
-} /* end of Cudd_addLeq */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implements the recursive step of Cudd_addIte(f,g,h).]
-
-  Description [Implements the recursive step of Cudd_addIte(f,g,h).
-  Returns a pointer to the resulting ADD if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addIte]
-
-******************************************************************************/
-DdNode *
-cuddAddIteRecur(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g,
-  DdNode * h)
-{
-    DdNode *one,*zero;
-    DdNode *r,*Fv,*Fnv,*Gv,*Gnv,*Hv,*Hnv,*t,*e;
-    unsigned int topf,topg,toph,v;
-    int index;
-
-    statLine(dd);
-    /* Trivial cases. */
-
-    /* One variable cases. */
-    if (f == (one = DD_ONE(dd))) {    /* ITE(1,G,H) = G */
-        return(g);
-    }
-    if (f == (zero = DD_ZERO(dd))) {    /* ITE(0,G,H) = H */
-        return(h);
-    }
-
-    /* From now on, f is known to not be a constant. */
-    addVarToConst(f,&g,&h,one,zero);
-
-    /* Check remaining one variable cases. */
-    if (g == h) {            /* ITE(F,G,G) = G */
-        return(g);
-    }
-
-    if (g == one) {            /* ITE(F,1,0) = F */
-        if (h == zero) return(f);
-    }
-
-    topf = cuddI(dd,f->index);
-    topg = cuddI(dd,g->index);
-    toph = cuddI(dd,h->index);
-    v = ddMin(topg,toph);
-
-    /* A shortcut: ITE(F,G,H) = (x,G,H) if F=(x,1,0), x < top(G,H). */
-    if (topf < v && cuddT(f) == one && cuddE(f) == zero) {
-    r = cuddUniqueInter(dd,(int)f->index,g,h);
-    return(r);
-    }
-    if (topf < v && cuddT(f) == zero && cuddE(f) == one) {
-    r = cuddUniqueInter(dd,(int)f->index,h,g);
-    return(r);
-    }
-
-    /* Check cache. */
-    r = cuddCacheLookup(dd,DD_ADD_ITE_TAG,f,g,h);
-    if (r != NULL) {
-        return(r);
-    }
-
-    /* Compute cofactors. */
-    if (topf <= v) {
-    v = ddMin(topf,v);    /* v = top_var(F,G,H) */
-    index = f->index;
-        Fv = cuddT(f); Fnv = cuddE(f);
-    } else {
-        Fv = Fnv = f;
-    }
-    if (topg == v) {
-    index = g->index;
-        Gv = cuddT(g); Gnv = cuddE(g);
-    } else {
-        Gv = Gnv = g;
-    }
-    if (toph == v) {
-    index = h->index;
-        Hv = cuddT(h); Hnv = cuddE(h);
-    } else {
-        Hv = Hnv = h;
-    }
-    
-    /* Recursive step. */
-    t = cuddAddIteRecur(dd,Fv,Gv,Hv);
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-
-    e = cuddAddIteRecur(dd,Fnv,Gnv,Hnv);
-    if (e == NULL) {
-    Cudd_RecursiveDeref(dd,t);
-    return(NULL);
-    }
-    cuddRef(e);
-
-    r = (t == e) ? t : cuddUniqueInter(dd,index,t,e);
-    if (r == NULL) {
-    Cudd_RecursiveDeref(dd,t);
-    Cudd_RecursiveDeref(dd,e);
-    return(NULL);
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-
-    cuddCacheInsert(dd,DD_ADD_ITE_TAG,f,g,h,r);
-
-    return(r);
-
-} /* end of cuddAddIteRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_addCmpl.]
-
-  Description [Performs the recursive step of Cudd_addCmpl. Returns a
-  pointer to the resulting ADD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addCmpl]
-
-******************************************************************************/
-DdNode *
-cuddAddCmplRecur(
-  DdManager * dd,
-  DdNode * f)
-{
-    DdNode *one,*zero;
-    DdNode *r,*Fv,*Fnv,*t,*e;
-
-    statLine(dd);
-    one = DD_ONE(dd);
-    zero = DD_ZERO(dd); 
-
-    if (cuddIsConstant(f)) {
-        if (f == zero) {
-        return(one);
-    } else {
-        return(zero);
-    }
-    }
-    r = cuddCacheLookup1(dd,Cudd_addCmpl,f);
-    if (r != NULL) {
-    return(r);
-    }
-    Fv = cuddT(f);
-    Fnv = cuddE(f);
-    t = cuddAddCmplRecur(dd,Fv);
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-    e = cuddAddCmplRecur(dd,Fnv);
-    if (e == NULL) {
-    Cudd_RecursiveDeref(dd,t);
-    return(NULL);
-    }
-    cuddRef(e);
-    r = (t == e) ? t : cuddUniqueInter(dd,(int)f->index,t,e);
-    if (r == NULL) {
-    Cudd_RecursiveDeref(dd, t);
-    Cudd_RecursiveDeref(dd, e);
-    return(NULL);
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-    cuddCacheInsert1(dd,Cudd_addCmpl,f,r);
-    return(r);
-
-} /* end of cuddAddCmplRecur */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Replaces variables with constants if possible (part of
-  canonical form).]
-
-  Description []
-
-  SideEffects [None]
-
-******************************************************************************/
-static void
-addVarToConst(
-  DdNode * f,
-  DdNode ** gp,
-  DdNode ** hp,
-  DdNode * one,
-  DdNode * zero)
-{
-    DdNode *g = *gp;
-    DdNode *h = *hp;
-
-    if (f == g) { /* ITE(F,F,H) = ITE(F,1,H) = F + H */
-    *gp = one;
-    }
-
-    if (f == h) { /* ITE(F,G,F) = ITE(F,G,0) = F * G */
-    *hp = zero;
-    }
-
-} /* end of addVarToConst */
diff --git a/src/bdd/cudd/cuddAddNeg.c b/src/bdd/cudd/cuddAddNeg.c
deleted file mode 100644
index bdb08ddc..00000000
--- a/src/bdd/cudd/cuddAddNeg.c
+++ /dev/null
@@ -1,262 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddAddNeg.c]
-
-  PackageName [cudd]
-
-  Synopsis    [function to compute the negation of an ADD.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_addNegate()
-        <li> Cudd_addRoundOff()
-        </ul>
-    Internal procedures included in this module:
-        <ul>
-        <li> cuddAddNegateRecur()
-        <li> cuddAddRoundOffRecur()
-        </ul> ]
-
-  Author      [Fabio Somenzi, Balakrishna Kumthekar]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include "cuddInt.h"
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddAddNeg.c,v 1.1.1.1 2003/02/24 22:23:50 wjiang Exp $";
-#endif
-
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the additive inverse of an ADD.]
-
-  Description [Computes the additive inverse of an ADD. Returns a pointer
-  to the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addCmpl]
-
-******************************************************************************/
-DdNode *
-Cudd_addNegate(
-  DdManager * dd,
-  DdNode * f)
-{
-    DdNode *res;
-
-    do {
-    res = cuddAddNegateRecur(dd,f);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_addNegate */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Rounds off the discriminants of an ADD.]
-
-  Description [Rounds off the discriminants of an ADD. The discriminants are
-  rounded off to N digits after the decimal. Returns a pointer to the result
-  ADD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-Cudd_addRoundOff(
-  DdManager * dd,
-  DdNode * f,
-  int  N)
-{
-    DdNode *res;
-    double trunc = pow(10.0,(double)N);
-
-    do {
-    res = cuddAddRoundOffRecur(dd,f,trunc);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_addRoundOff */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implements the recursive step of Cudd_addNegate.]
-
-  Description [Implements the recursive step of Cudd_addNegate.
-  Returns a pointer to the result.]
-
-  SideEffects [None]
-
-******************************************************************************/
-DdNode *
-cuddAddNegateRecur(
-  DdManager * dd,
-  DdNode * f)
-{
-    DdNode *res,
-        *fv, *fvn,
-        *T, *E;
-
-    statLine(dd);
-    /* Check terminal cases. */
-    if (cuddIsConstant(f)) {
-    res = cuddUniqueConst(dd,-cuddV(f));
-    return(res);
-    }
-
-    /* Check cache */
-    res = cuddCacheLookup1(dd,Cudd_addNegate,f);
-    if (res != NULL) return(res);
-
-    /* Recursive Step */
-    fv = cuddT(f);
-    fvn = cuddE(f);
-    T = cuddAddNegateRecur(dd,fv);
-    if (T == NULL) return(NULL);
-    cuddRef(T);
-
-    E = cuddAddNegateRecur(dd,fvn);
-    if (E == NULL) {
-    Cudd_RecursiveDeref(dd,T);
-    return(NULL);
-    }
-    cuddRef(E);
-    res = (T == E) ? T : cuddUniqueInter(dd,(int)f->index,T,E);
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd, T);
-    Cudd_RecursiveDeref(dd, E);
-    return(NULL);
-    }
-    cuddDeref(T);
-    cuddDeref(E);
-
-    /* Store result. */
-    cuddCacheInsert1(dd,Cudd_addNegate,f,res);
-
-    return(res);
-
-} /* end of cuddAddNegateRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implements the recursive step of Cudd_addRoundOff.]
-
-  Description [Implements the recursive step of Cudd_addRoundOff.
-  Returns a pointer to the result.]
-
-  SideEffects [None]
-
-******************************************************************************/
-DdNode *
-cuddAddRoundOffRecur(
-  DdManager * dd,
-  DdNode * f,
-  double  trunc)
-{
-
-    DdNode *res, *fv, *fvn, *T, *E;
-    double n;
-    DdNode *(*cacheOp)(DdManager *, DdNode *);
-  
-    statLine(dd);
-    if (cuddIsConstant(f)) {
-        n = ceil(cuddV(f)*trunc)/trunc;
-    res = cuddUniqueConst(dd,n);
-    return(res);
-    }
-    cacheOp = (DdNode *(*)(DdManager *, DdNode *)) Cudd_addRoundOff;
-    res = cuddCacheLookup1(dd,cacheOp,f);
-    if (res != NULL) {
-        return(res);
-    }
-    /* Recursive Step */
-    fv = cuddT(f);
-    fvn = cuddE(f);
-    T = cuddAddRoundOffRecur(dd,fv,trunc);
-    if (T == NULL) {
-       return(NULL);
-    }
-    cuddRef(T);
-    E = cuddAddRoundOffRecur(dd,fvn,trunc);
-    if (E == NULL) {
-        Cudd_RecursiveDeref(dd,T);
-    return(NULL);
-    }
-    cuddRef(E);
-    res = (T == E) ? T : cuddUniqueInter(dd,(int)f->index,T,E);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd,T);
-    Cudd_RecursiveDeref(dd,E);
-    return(NULL);
-    }
-    cuddDeref(T);
-    cuddDeref(E);
-
-    /* Store result. */
-    cuddCacheInsert1(dd,cacheOp,f,res);
-    return(res);
-  
-} /* end of cuddAddRoundOffRecur */
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
diff --git a/src/bdd/cudd/cuddAddWalsh.c b/src/bdd/cudd/cuddAddWalsh.c
deleted file mode 100644
index c6a67e34..00000000
--- a/src/bdd/cudd/cuddAddWalsh.c
+++ /dev/null
@@ -1,364 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddAddWalsh.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions that generate Walsh matrices and residue
-  functions in ADD form.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_addWalsh()
-        <li> Cudd_addResidue()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> addWalshInt()
-        </ul>]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddAddWalsh.c,v 1.1.1.1 2003/02/24 22:23:50 wjiang Exp $";
-#endif
-
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static DdNode * addWalshInt ARGS((DdManager *dd, DdNode **x, DdNode **y, int n));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Generates a Walsh matrix in ADD form.]
-
-  Description [Generates a Walsh matrix in ADD form. Returns a pointer
-  to the matrixi if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-DdNode *
-Cudd_addWalsh(
-  DdManager * dd,
-  DdNode ** x,
-  DdNode ** y,
-  int  n)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = addWalshInt(dd, x, y, n);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_addWalsh */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Builds an ADD for the residue modulo m of an n-bit
-  number.]
-
-  Description [Builds an ADD for the residue modulo m of an n-bit
-  number. The modulus must be at least 2, and the number of bits at
-  least 1. Parameter options specifies whether the MSB should be on top
-  or the LSB; and whther the number whose residue is computed is in
-  two's complement notation or not. The macro CUDD_RESIDUE_DEFAULT
-  specifies LSB on top and unsigned number. The macro CUDD_RESIDUE_MSB
-  specifies MSB on top, and the macro CUDD_RESIDUE_TC specifies two's
-  complement residue. To request MSB on top and two's complement residue
-  simultaneously, one can OR the two macros:
-  CUDD_RESIDUE_MSB | CUDD_RESIDUE_TC.
-  Cudd_addResidue returns a pointer to the resulting ADD if successful;
-  NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-Cudd_addResidue(
-  DdManager * dd /* manager */,
-  int  n /* number of bits */,
-  int  m /* modulus */,
-  int  options /* options */,
-  int  top /* index of top variable */)
-{
-    int msbLsb;    /* MSB on top (1) or LSB on top (0) */
-    int tc;    /* two's complement (1) or unsigned (0) */
-    int i, j, k, t, residue, thisOne, previous, index;
-    DdNode **array[2], *var, *tmp, *res;
-
-    /* Sanity check. */
-    if (n < 1 && m < 2) return(NULL);
-
-    msbLsb = options & CUDD_RESIDUE_MSB;
-    tc = options & CUDD_RESIDUE_TC;
-
-    /* Allocate and initialize working arrays. */
-    array[0] = ALLOC(DdNode *,m);
-    if (array[0] == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    array[1] = ALLOC(DdNode *,m);
-    if (array[1] == NULL) {
-    FREE(array[0]);
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    for (i = 0; i < m; i++) {
-    array[0][i] = array[1][i] = NULL;
-    }
-
-    /* Initialize residues. */
-    for (i = 0; i < m; i++) {
-    tmp = cuddUniqueConst(dd,(CUDD_VALUE_TYPE) i);
-    if (tmp == NULL) {
-        for (j = 0; j < i; j++) {
-        Cudd_RecursiveDeref(dd,array[1][j]);
-        }
-        FREE(array[0]);
-        FREE(array[1]);
-        return(NULL);
-    }
-    cuddRef(tmp);
-    array[1][i] = tmp;
-    }
-
-    /* Main iteration. */
-    residue = 1;    /* residue of 2**0 */
-    for (k = 0; k < n; k++) {
-    /* Choose current and previous arrays. */
-    thisOne = k & 1;
-    previous = thisOne ^ 1;
-    /* Build an ADD projection function. */
-    if (msbLsb) {
-        index = top+n-k-1;
-    } else {
-        index = top+k;
-    }
-    var = cuddUniqueInter(dd,index,DD_ONE(dd),DD_ZERO(dd));
-    if (var == NULL) {
-        for (j = 0; j < m; j++) {
-        Cudd_RecursiveDeref(dd,array[previous][j]);
-        }
-        FREE(array[0]);
-        FREE(array[1]);
-        return(NULL);
-    }
-    cuddRef(var);
-    for (i = 0; i < m; i ++) {
-        t = (i + residue) % m;
-        tmp = Cudd_addIte(dd,var,array[previous][t],array[previous][i]);
-        if (tmp == NULL) {
-        for (j = 0; j < i; j++) {
-            Cudd_RecursiveDeref(dd,array[thisOne][j]);
-        }
-        for (j = 0; j < m; j++) {
-            Cudd_RecursiveDeref(dd,array[previous][j]);
-        }
-        FREE(array[0]);
-        FREE(array[1]);
-        return(NULL);
-        }
-        cuddRef(tmp);
-        array[thisOne][i] = tmp;
-    }
-    /* One layer completed. Free the other array for the next iteration. */
-    for (i = 0; i < m; i++) {
-        Cudd_RecursiveDeref(dd,array[previous][i]);
-    }
-    Cudd_RecursiveDeref(dd,var);
-    /* Update residue of 2**k. */
-    residue = (2 * residue) % m;
-    /* Adjust residue for MSB, if this is a two's complement number. */
-    if (tc && (k == n - 1)) {
-        residue = (m - residue) % m;
-    }
-    }
-
-    /* We are only interested in the 0-residue node of the top layer. */
-    for (i = 1; i < m; i++) {
-    Cudd_RecursiveDeref(dd,array[(n - 1) & 1][i]);
-    }
-    res = array[(n - 1) & 1][0];
-
-    FREE(array[0]);
-    FREE(array[1]);
-
-    cuddDeref(res);
-    return(res);
-
-} /* end of Cudd_addResidue */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implements the recursive step of Cudd_addWalsh.]
-
-  Description [Generates a Walsh matrix in ADD form. Returns a pointer
-  to the matrixi if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static DdNode *
-addWalshInt(
-  DdManager * dd,
-  DdNode ** x,
-  DdNode ** y,
-  int  n)
-{
-    DdNode *one, *minusone;
-    DdNode *t, *u, *t1, *u1, *v, *w;
-    int     i;
-
-    one = DD_ONE(dd);
-    if (n == 0) return(one);
-
-    /* Build bottom part of ADD outside loop */
-    minusone = cuddUniqueConst(dd,(CUDD_VALUE_TYPE) -1);
-    if (minusone == NULL) return(NULL);
-    cuddRef(minusone);
-    v = Cudd_addIte(dd, y[n-1], minusone, one);
-    if (v == NULL) {
-    Cudd_RecursiveDeref(dd, minusone);
-    return(NULL);
-    }
-    cuddRef(v);
-    u = Cudd_addIte(dd, x[n-1], v, one);
-    if (u == NULL) {
-    Cudd_RecursiveDeref(dd, minusone);
-    Cudd_RecursiveDeref(dd, v);
-    return(NULL);
-    }
-    cuddRef(u);
-    Cudd_RecursiveDeref(dd, v);
-    if (n>1) {
-    w = Cudd_addIte(dd, y[n-1], one, minusone);
-    if (w == NULL) {
-        Cudd_RecursiveDeref(dd, minusone);
-        Cudd_RecursiveDeref(dd, u);
-        return(NULL);
-    }
-    cuddRef(w);
-    t = Cudd_addIte(dd, x[n-1], w, minusone);
-    if (t == NULL) {
-        Cudd_RecursiveDeref(dd, minusone);
-        Cudd_RecursiveDeref(dd, u);
-        Cudd_RecursiveDeref(dd, w);
-        return(NULL);
-    }
-    cuddRef(t);
-    Cudd_RecursiveDeref(dd, w);
-    }
-    cuddDeref(minusone); /* minusone is in the result; it won't die */
-
-    /* Loop to build the rest of the ADD */
-    for (i=n-2; i>=0; i--) {
-    t1 = t; u1 = u;
-    v = Cudd_addIte(dd, y[i], t1, u1);
-    if (v == NULL) {
-        Cudd_RecursiveDeref(dd, u1);
-        Cudd_RecursiveDeref(dd, t1);
-        return(NULL);
-    }
-    cuddRef(v);
-    u = Cudd_addIte(dd, x[i], v, u1);
-    if (u == NULL) {
-        Cudd_RecursiveDeref(dd, u1);
-        Cudd_RecursiveDeref(dd, t1);
-        Cudd_RecursiveDeref(dd, v);
-        return(NULL);
-    }
-    cuddRef(u);
-    Cudd_RecursiveDeref(dd, v);
-    if (i>0) {
-        w = Cudd_addIte(dd, y[i], u1, t1);
-        if (u == NULL) {
-        Cudd_RecursiveDeref(dd, u1);
-        Cudd_RecursiveDeref(dd, t1);
-        Cudd_RecursiveDeref(dd, u);
-        return(NULL);
-        }
-        cuddRef(w);
-        t = Cudd_addIte(dd, x[i], w, t1);
-        if (u == NULL) {
-        Cudd_RecursiveDeref(dd, u1);
-        Cudd_RecursiveDeref(dd, t1);
-        Cudd_RecursiveDeref(dd, u);
-        Cudd_RecursiveDeref(dd, w);
-        return(NULL);
-        }
-        cuddRef(t);
-        Cudd_RecursiveDeref(dd, w);
-    }
-    Cudd_RecursiveDeref(dd, u1);
-    Cudd_RecursiveDeref(dd, t1);
-    }
-
-    cuddDeref(u);
-    return(u);
-
-} /* end of addWalshInt */
diff --git a/src/bdd/cudd/cuddAndAbs.c b/src/bdd/cudd/cuddAndAbs.c
deleted file mode 100644
index 5ec47beb..00000000
--- a/src/bdd/cudd/cuddAndAbs.c
+++ /dev/null
@@ -1,306 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddAndAbs.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Combined AND and existential abstraction for BDDs]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_bddAndAbstract()
-        </ul>
-        Internal procedures included in this module:
-        <ul>
-        <li> cuddBddAndAbstractRecur()
-        </ul>]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddAndAbs.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $";
-#endif
-
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Takes the AND of two BDDs and simultaneously abstracts the
-  variables in cube.]
-
-  Description [Takes the AND of two BDDs and simultaneously abstracts
-  the variables in cube. The variables are existentially abstracted.
-  Returns a pointer to the result is successful; NULL otherwise.
-  Cudd_bddAndAbstract implements the semiring matrix multiplication
-  algorithm for the boolean semiring.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addMatrixMultiply Cudd_addTriangle Cudd_bddAnd]
-
-******************************************************************************/
-DdNode *
-Cudd_bddAndAbstract(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * g,
-  DdNode * cube)
-{
-    DdNode *res;
-
-    do {
-    manager->reordered = 0;
-    res = cuddBddAndAbstractRecur(manager, f, g, cube);
-    } while (manager->reordered == 1);
-    return(res);
-
-} /* end of Cudd_bddAndAbstract */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Takes the AND of two BDDs and simultaneously abstracts the
-  variables in cube.]
-
-  Description [Takes the AND of two BDDs and simultaneously abstracts
-  the variables in cube. The variables are existentially abstracted.
-  Returns a pointer to the result is successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddAndAbstract]
-
-******************************************************************************/
-DdNode *
-cuddBddAndAbstractRecur(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * g,
-  DdNode * cube)
-{
-    DdNode *F, *ft, *fe, *G, *gt, *ge;
-    DdNode *one, *zero, *r, *t, *e;
-    unsigned int topf, topg, topcube, top, index;
-
-    statLine(manager);
-    one = DD_ONE(manager);
-    zero = Cudd_Not(one);
-
-    /* Terminal cases. */
-    if (f == zero || g == zero || f == Cudd_Not(g)) return(zero);
-    if (f == one && g == one)    return(one);
-
-    if (cube == one) {
-    return(cuddBddAndRecur(manager, f, g));
-    }
-    if (f == one || f == g) {
-    return(cuddBddExistAbstractRecur(manager, g, cube));
-    }
-    if (g == one) {
-    return(cuddBddExistAbstractRecur(manager, f, cube));
-    }
-    /* At this point f, g, and cube are not constant. */
-
-    if (f > g) { /* Try to increase cache efficiency. */
-    DdNode *tmp = f;
-    f = g;
-    g = tmp;
-    }
-
-    /* Here we can skip the use of cuddI, because the operands are known
-    ** to be non-constant.
-    */
-    F = Cudd_Regular(f);
-    G = Cudd_Regular(g);
-    topf = manager->perm[F->index];
-    topg = manager->perm[G->index];
-    top = ddMin(topf, topg);
-    topcube = manager->perm[cube->index];
-
-    while (topcube < top) {
-    cube = cuddT(cube);
-    if (cube == one) {
-        return(cuddBddAndRecur(manager, f, g));
-    }
-    topcube = manager->perm[cube->index];
-    }
-    /* Now, topcube >= top. */
-
-    /* Check cache. */
-    if (F->ref != 1 || G->ref != 1) {
-    r = cuddCacheLookup(manager, DD_BDD_AND_ABSTRACT_TAG, f, g, cube);
-    if (r != NULL) {
-        return(r);
-    }
-    }
-
-    if (topf == top) {
-    index = F->index;
-    ft = cuddT(F);
-    fe = cuddE(F);
-    if (Cudd_IsComplement(f)) {
-        ft = Cudd_Not(ft);
-        fe = Cudd_Not(fe);
-    }
-    } else {
-    index = G->index;
-    ft = fe = f;
-    }
-
-    if (topg == top) {
-    gt = cuddT(G);
-    ge = cuddE(G);
-    if (Cudd_IsComplement(g)) {
-        gt = Cudd_Not(gt);
-        ge = Cudd_Not(ge);
-    }
-    } else {
-    gt = ge = g;
-    }
-
-    if (topcube == top) {    /* quantify */
-    DdNode *Cube = cuddT(cube);
-    t = cuddBddAndAbstractRecur(manager, ft, gt, Cube);
-    if (t == NULL) return(NULL);
-    /* Special case: 1 OR anything = 1. Hence, no need to compute
-    ** the else branch if t is 1. Likewise t + t * anything == t.
-    ** Notice that t == fe implies that fe does not depend on the
-    ** variables in Cube. Likewise for t == ge.
-    */
-    if (t == one || t == fe || t == ge) {
-        if (F->ref != 1 || G->ref != 1)
-        cuddCacheInsert(manager, DD_BDD_AND_ABSTRACT_TAG,
-                f, g, cube, t);
-        return(t);
-    }
-    cuddRef(t);
-    /* Special case: t + !t * anything == t + anything. */
-    if (t == Cudd_Not(fe)) {
-        e = cuddBddExistAbstractRecur(manager, ge, Cube);
-    } else if (t == Cudd_Not(ge)) {
-        e = cuddBddExistAbstractRecur(manager, fe, Cube);
-    } else {
-        e = cuddBddAndAbstractRecur(manager, fe, ge, Cube);
-    }
-    if (e == NULL) {
-        Cudd_IterDerefBdd(manager, t);
-        return(NULL);
-    }
-    if (t == e) {
-        r = t;
-        cuddDeref(t);
-    } else {
-        cuddRef(e);
-        r = cuddBddAndRecur(manager, Cudd_Not(t), Cudd_Not(e));
-        if (r == NULL) {
-        Cudd_IterDerefBdd(manager, t);
-        Cudd_IterDerefBdd(manager, e);
-        return(NULL);
-        }
-        r = Cudd_Not(r);
-        cuddRef(r);
-        Cudd_DelayedDerefBdd(manager, t);
-        Cudd_DelayedDerefBdd(manager, e);
-        cuddDeref(r);
-    }
-    } else {
-    t = cuddBddAndAbstractRecur(manager, ft, gt, cube);
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-    e = cuddBddAndAbstractRecur(manager, fe, ge, cube);
-    if (e == NULL) {
-        Cudd_IterDerefBdd(manager, t);
-        return(NULL);
-    }
-    if (t == e) {
-        r = t;
-        cuddDeref(t);
-    } else {
-        cuddRef(e);
-        if (Cudd_IsComplement(t)) {
-        r = cuddUniqueInter(manager, (int) index,
-                    Cudd_Not(t), Cudd_Not(e));
-        if (r == NULL) {
-            Cudd_IterDerefBdd(manager, t);
-            Cudd_IterDerefBdd(manager, e);
-            return(NULL);
-        }
-        r = Cudd_Not(r);
-        } else {
-        r = cuddUniqueInter(manager,(int)index,t,e);
-        if (r == NULL) {
-            Cudd_IterDerefBdd(manager, t);
-            Cudd_IterDerefBdd(manager, e);
-            return(NULL);
-        }
-        }
-        cuddDeref(e);
-        cuddDeref(t);
-    }
-    }
-
-    if (F->ref != 1 || G->ref != 1)
-    cuddCacheInsert(manager, DD_BDD_AND_ABSTRACT_TAG, f, g, cube, r);
-    return (r);
-
-} /* end of cuddBddAndAbstractRecur */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
diff --git a/src/bdd/cudd/cuddAnneal.c b/src/bdd/cudd/cuddAnneal.c
deleted file mode 100644
index 3d8b56b9..00000000
--- a/src/bdd/cudd/cuddAnneal.c
+++ /dev/null
@@ -1,788 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddAnneal.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Reordering of DDs based on simulated annealing]
-
-  Description [Internal procedures included in this file:
-        <ul>
-        <li> cuddAnnealing()
-        </ul>
-           Static procedures included in this file:
-        <ul>
-        <li> stopping_criterion()
-        <li> random_generator()
-        <li> ddExchange()
-        <li> ddJumpingAux()
-        <li> ddJumpingUp()
-        <li> ddJumpingDown()
-        <li> siftBackwardProb()
-        <li> copyOrder()
-        <li> restoreOrder()
-        </ul>
-        ]
-
-  SeeAlso     []
-
-  Author      [Jae-Young Jang, Jorgen Sivesind]
-
-  Copyright [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/* Annealing parameters */
-#define BETA 0.6 
-#define ALPHA 0.90
-#define EXC_PROB 0.4 
-#define JUMP_UP_PROB 0.36
-#define MAXGEN_RATIO 15.0
-#define STOP_TEMP 1.0
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddAnneal.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $";
-#endif
-
-#ifdef DD_STATS
-extern    int    ddTotalNumberSwapping;
-extern    int    ddTotalNISwaps;
-static    int    tosses;
-static    int    acceptances;
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int stopping_criterion ARGS((int c1, int c2, int c3, int c4, double temp));
-static double random_generator ARGS(());
-static int ddExchange ARGS((DdManager *table, int x, int y, double temp));
-static int ddJumpingAux ARGS((DdManager *table, int x, int x_low, int x_high, double temp));
-static Move * ddJumpingUp ARGS((DdManager *table, int x, int x_low, int initial_size));
-static Move * ddJumpingDown ARGS((DdManager *table, int x, int x_high, int initial_size));
-static int siftBackwardProb ARGS((DdManager *table, Move *moves, int size, double temp));
-static void copyOrder ARGS((DdManager *table, int *array, int lower, int upper));
-static int restoreOrder ARGS((DdManager *table, int *array, int lower, int upper));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Get new variable-order by simulated annealing algorithm.]
-
-  Description [Get x, y by random selection. Choose either
-  exchange or jump randomly. In case of jump, choose between jump_up
-  and jump_down randomly. Do exchange or jump and get optimal case.
-  Loop until there is no improvement or temperature reaches
-  minimum. Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddAnnealing(
-  DdManager * table,
-  int  lower,
-  int  upper)
-{
-    int         nvars;
-    int         size;
-    int         x,y;
-    int         result;
-    int        c1, c2, c3, c4;
-    int        BestCost;
-    int        *BestOrder;
-    double    NewTemp, temp;
-    double    rand1;
-    int         innerloop, maxGen;
-    int         ecount, ucount, dcount;
-   
-    nvars = upper - lower + 1;
-
-    result = cuddSifting(table,lower,upper);
-#ifdef DD_STATS
-    (void) fprintf(table->out,"\n");
-#endif
-    if (result == 0) return(0);
-
-    size = table->keys - table->isolated;
-
-    /* Keep track of the best order. */
-    BestCost = size;
-    BestOrder = ALLOC(int,nvars);
-    if (BestOrder == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    copyOrder(table,BestOrder,lower,upper);
-
-    temp = BETA * size;
-    maxGen = (int) (MAXGEN_RATIO * nvars);
-
-    c1 = size + 10;
-    c2 = c1 + 10;
-    c3 = size;
-    c4 = c2 + 10;
-    ecount = ucount = dcount = 0;
- 
-    while (!stopping_criterion(c1, c2, c3, c4, temp)) {
-#ifdef DD_STATS
-    (void) fprintf(table->out,"temp=%f\tsize=%d\tgen=%d\t",
-               temp,size,maxGen);
-    tosses = acceptances = 0;
-#endif
-    for (innerloop = 0; innerloop < maxGen; innerloop++) {
-        /* Choose x, y  randomly. */
-        x = (int) Cudd_Random() % nvars;
-        do {
-        y = (int) Cudd_Random() % nvars;
-        } while (x == y);
-        x += lower;
-        y += lower;
-        if (x > y) {
-        int tmp = x;
-        x = y;
-        y = tmp;
-        }
-
-        /* Choose move with roulette wheel. */
-        rand1 = random_generator();
-        if (rand1 < EXC_PROB) {
-        result = ddExchange(table,x,y,temp);       /* exchange */
-        ecount++;
-#if 0
-        (void) fprintf(table->out,
-                   "Exchange of %d and %d: size = %d\n",
-                   x,y,table->keys - table->isolated);
-#endif
-        } else if (rand1 < EXC_PROB + JUMP_UP_PROB) {
-        result = ddJumpingAux(table,y,x,y,temp); /* jumping_up */
-        ucount++;
-#if 0
-        (void) fprintf(table->out,
-                   "Jump up of %d to %d: size = %d\n",
-                   y,x,table->keys - table->isolated);
-#endif
-        } else {
-        result = ddJumpingAux(table,x,x,y,temp); /* jumping_down */
-        dcount++;
-#if 0
-        (void) fprintf(table->out,
-                   "Jump down of %d to %d: size = %d\n",
-                   x,y,table->keys - table->isolated);
-#endif
-        }
-
-        if (!result) {
-        FREE(BestOrder);
-        return(0);
-        }
-
-        size = table->keys - table->isolated;    /* keep current size */
-        if (size < BestCost) {            /* update best order */
-        BestCost = size;
-        copyOrder(table,BestOrder,lower,upper);
-        }
-    }
-    c1 = c2;
-    c2 = c3;
-    c3 = c4;
-    c4 = size;
-    NewTemp = ALPHA * temp;
-    if (NewTemp >= 1.0) {
-        maxGen = (int)(log(NewTemp) / log(temp) * maxGen);
-    }
-    temp = NewTemp;                    /* control variable */
-#ifdef DD_STATS
-    (void) fprintf(table->out,"uphill = %d\taccepted = %d\n",
-               tosses,acceptances);
-    fflush(table->out);
-#endif
-    }
-
-    result = restoreOrder(table,BestOrder,lower,upper);
-    FREE(BestOrder);
-    if (!result) return(0);
-#ifdef DD_STATS
-    fprintf(table->out,"#:N_EXCHANGE %8d : total exchanges\n",ecount);
-    fprintf(table->out,"#:N_JUMPUP   %8d : total jumps up\n",ucount);
-    fprintf(table->out,"#:N_JUMPDOWN %8d : total jumps down",dcount);
-#endif
-    return(1);
-
-} /* end of cuddAnnealing */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis    [Checks termination condition.]
-
-  Description [If temperature is STOP_TEMP or there is no improvement
-  then terminates. Returns 1 if the termination criterion is met; 0
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-stopping_criterion(
-  int  c1,
-  int  c2,
-  int  c3,
-  int  c4,
-  double  temp)
-{
-    if (STOP_TEMP < temp) {
-    return(0);
-    } else if ((c1 == c2) && (c1 == c3) && (c1 == c4)) {
-    return(1);
-    } else {
-    return(0);
-    }
-
-} /* end of stopping_criterion */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Random number generator.]
-
-  Description [Returns a double precision value between 0.0 and 1.0.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static double
-random_generator(
-   )
-{
-    return((double)(Cudd_Random() / 2147483561.0));
-
-} /* end of random_generator */
-
-
-/**Function********************************************************************
-
-  Synopsis    [This function is for exchanging two variables, x and y.]
-
-  Description [This is the same funcion as ddSwapping except for
-  comparison expression.  Use probability function, exp(-size_change/temp).]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-ddExchange(
-  DdManager * table,
-  int  x,
-  int  y,
-  double  temp)
-{
-    Move       *move,*moves;
-    int        tmp;
-    int        x_ref,y_ref;
-    int        x_next,y_next;
-    int        size, result;
-    int        initial_size, limit_size;
-
-    x_ref = x;
-    y_ref = y;
-
-    x_next = cuddNextHigh(table,x);
-    y_next = cuddNextLow(table,y);
-    moves = NULL;
-    initial_size = limit_size = table->keys - table->isolated;
-
-    for (;;) {
-    if (x_next == y_next) {
-        size = cuddSwapInPlace(table,x,x_next);
-        if (size == 0) goto ddExchangeOutOfMem;
-        move = (Move *)cuddDynamicAllocNode(table);
-        if (move == NULL) goto ddExchangeOutOfMem;
-        move->x = x;
-        move->y = x_next;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-        size = cuddSwapInPlace(table,y_next,y);
-        if (size == 0) goto ddExchangeOutOfMem;
-        move = (Move *)cuddDynamicAllocNode(table);
-        if (move == NULL) goto ddExchangeOutOfMem;
-        move->x = y_next;
-        move->y = y;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-        size = cuddSwapInPlace(table,x,x_next);
-        if (size == 0) goto ddExchangeOutOfMem;
-        move = (Move *)cuddDynamicAllocNode(table);
-        if (move == NULL) goto ddExchangeOutOfMem;
-        move->x = x;
-        move->y = x_next;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-
-        tmp = x;
-        x = y;
-        y = tmp;
-    } else if (x == y_next) {
-        size = cuddSwapInPlace(table,x,x_next);
-        if (size == 0) goto ddExchangeOutOfMem;
-        move = (Move *)cuddDynamicAllocNode(table);
-        if (move == NULL) goto ddExchangeOutOfMem;
-        move->x = x;
-        move->y = x_next;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-        tmp = x;
-        x = y;
-        y = tmp;
-    } else {
-        size = cuddSwapInPlace(table,x,x_next);
-        if (size == 0) goto ddExchangeOutOfMem;
-        move = (Move *)cuddDynamicAllocNode(table);
-        if (move == NULL) goto ddExchangeOutOfMem;
-        move->x = x;
-        move->y = x_next;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-        size = cuddSwapInPlace(table,y_next,y);
-        if (size == 0) goto ddExchangeOutOfMem;
-        move = (Move *)cuddDynamicAllocNode(table);
-        if (move == NULL) goto ddExchangeOutOfMem;
-        move->x = y_next;
-        move->y = y;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-        x = x_next;
-        y = y_next;
-    }
-
-    x_next = cuddNextHigh(table,x);
-    y_next = cuddNextLow(table,y);
-    if (x_next > y_ref) break;
-
-    if ((double) size > DD_MAX_REORDER_GROWTH * (double) limit_size) {
-        break;
-    } else if (size < limit_size) {
-        limit_size = size;
-    }
-    }
-
-    if (y_next>=x_ref) {
-        size = cuddSwapInPlace(table,y_next,y);
-        if (size == 0) goto ddExchangeOutOfMem;
-        move = (Move *)cuddDynamicAllocNode(table);
-        if (move == NULL) goto ddExchangeOutOfMem;
-        move->x = y_next;
-        move->y = y;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-    }
-
-    /* move backward and stop at best position or accept uphill move */
-    result = siftBackwardProb(table,moves,initial_size,temp);
-    if (!result) goto ddExchangeOutOfMem;
-
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *) moves);
-    moves = move;
-    }
-    return(1);
-
-ddExchangeOutOfMem:
-    while (moves != NULL) {
-        move = moves->next;
-        cuddDeallocNode(table,(DdNode *) moves);
-        moves = move;
-    }
-    return(0);
-
-} /* end of ddExchange */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Moves a variable to a specified position.]
-
-  Description [If x==x_low, it executes jumping_down. If x==x_high, it
-  executes jumping_up. This funcion is similar to ddSiftingAux. Returns
-  1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-ddJumpingAux(
-  DdManager * table,
-  int  x,
-  int  x_low,
-  int  x_high,
-  double  temp)
-{
-    Move       *move;
-    Move       *moves;        /* list of moves */
-    int        initial_size;
-    int        result;
-
-    initial_size = table->keys - table->isolated;
-
-#ifdef DD_DEBUG
-    assert(table->subtables[x].keys > 0);
-#endif
-
-    moves = NULL;
-
-    if (cuddNextLow(table,x) < x_low) {
-    if (cuddNextHigh(table,x) > x_high) return(1);
-    moves = ddJumpingDown(table,x,x_high,initial_size);
-    /* after that point x --> x_high unless early termination */
-    if (moves == NULL) goto ddJumpingAuxOutOfMem;
-    /* move backward and stop at best position or accept uphill move */
-    result = siftBackwardProb(table,moves,initial_size,temp);
-    if (!result) goto ddJumpingAuxOutOfMem;
-    } else if (cuddNextHigh(table,x) > x_high) {
-    moves = ddJumpingUp(table,x,x_low,initial_size);
-    /* after that point x --> x_low unless early termination */
-    if (moves == NULL) goto ddJumpingAuxOutOfMem;
-    /* move backward and stop at best position or accept uphill move */
-    result = siftBackwardProb(table,moves,initial_size,temp);
-    if (!result) goto ddJumpingAuxOutOfMem;
-    } else {
-    (void) fprintf(table->err,"Unexpected condition in ddJumping\n");
-    goto ddJumpingAuxOutOfMem;
-    }
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *) moves);
-    moves = move;
-    }
-    return(1);
-
-ddJumpingAuxOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *) moves);
-    moves = move;
-    }
-    return(0);
-
-} /* end of ddJumpingAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [This function is for jumping up.]
-
-  Description [This is a simplified version of ddSiftingUp. It does not
-  use lower bounding. Returns the set of moves in case of success; NULL
-  if memory is full.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static Move *
-ddJumpingUp(
-  DdManager * table,
-  int  x,
-  int  x_low,
-  int  initial_size)
-{
-    Move       *moves;
-    Move       *move;
-    int        y;
-    int        size;
-    int        limit_size = initial_size;
-
-    moves = NULL;
-    y = cuddNextLow(table,x);
-    while (y >= x_low) {
-    size = cuddSwapInPlace(table,y,x);
-    if (size == 0) goto ddJumpingUpOutOfMem;
-    move = (Move *)cuddDynamicAllocNode(table);
-    if (move == NULL) goto ddJumpingUpOutOfMem;
-    move->x = y;
-    move->y = x;
-    move->size = size;
-    move->next = moves;
-    moves = move;
-    if ((double) size > table->maxGrowth * (double) limit_size) {
-        break;
-    } else if (size < limit_size) {
-        limit_size = size;
-    }
-    x = y;
-    y = cuddNextLow(table,x);
-    }
-    return(moves);
-
-ddJumpingUpOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *) moves);
-    moves = move;
-    }
-    return(NULL);
-
-} /* end of ddJumpingUp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [This function is for jumping down.]
-
-  Description [This is a simplified version of ddSiftingDown. It does not
-  use lower bounding. Returns the set of moves in case of success; NULL
-  if memory is full.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static Move *
-ddJumpingDown(
-  DdManager * table,
-  int  x,
-  int  x_high,
-  int  initial_size)
-{
-    Move       *moves;
-    Move       *move;
-    int        y;
-    int        size;
-    int        limit_size = initial_size;
-
-    moves = NULL;
-    y = cuddNextHigh(table,x);
-    while (y <= x_high) {
-    size = cuddSwapInPlace(table,x,y);
-    if (size == 0) goto ddJumpingDownOutOfMem;
-    move = (Move *)cuddDynamicAllocNode(table);
-    if (move == NULL) goto ddJumpingDownOutOfMem;
-    move->x = x;
-    move->y = y;
-    move->size = size;
-    move->next = moves;
-    moves = move;
-    if ((double) size > table->maxGrowth * (double) limit_size) {
-        break;
-    } else if (size < limit_size) {
-        limit_size = size;
-    }
-    x = y;
-    y = cuddNextHigh(table,x);
-    }
-    return(moves);
-
-ddJumpingDownOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *) moves);
-    moves = move;
-    }
-    return(NULL);
-
-} /* end of ddJumpingDown */
-
-
-/**Function********************************************************************
-
-  Synopsis [Returns the DD to the best position encountered during
-  sifting if there was improvement.]
-
-  Description [Otherwise, "tosses a coin" to decide whether to keep
-  the current configuration or return the DD to the original
-  one. Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-siftBackwardProb(
-  DdManager * table,
-  Move * moves,
-  int  size,
-  double  temp)
-{
-    Move   *move;
-    int    res;
-    int    best_size = size;
-    double coin, threshold;
-
-    /* Look for best size during the last sifting */
-    for (move = moves; move != NULL; move = move->next) {
-    if (move->size < best_size) {
-        best_size = move->size;
-    }
-    }
-    
-    /* If best_size equals size, the last sifting did not produce any
-    ** improvement. We now toss a coin to decide whether to retain
-    ** this change or not.
-    */
-    if (best_size == size) {
-    coin = random_generator();
-#ifdef DD_STATS
-    tosses++;
-#endif
-    threshold = exp(-((double)(table->keys - table->isolated - size))/temp);
-    if (coin < threshold) {
-#ifdef DD_STATS
-        acceptances++;
-#endif
-        return(1);
-    }
-    }
-
-    /* Either there was improvement, or we have decided not to
-    ** accept the uphill move. Go to best position.
-    */
-    res = table->keys - table->isolated;
-    for (move = moves; move != NULL; move = move->next) {
-    if (res == best_size) return(1);
-    res = cuddSwapInPlace(table,(int)move->x,(int)move->y);
-    if (!res) return(0);
-    }
-
-    return(1);
-
-} /* end of sift_backward_prob */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Copies the current variable order to array.]
-
-  Description [Copies the current variable order to array.
-  At the same time inverts the permutation.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-copyOrder(
-  DdManager * table,
-  int * array,
-  int  lower,
-  int  upper)
-{
-    int i;
-    int nvars;
-
-    nvars = upper - lower + 1;
-    for (i = 0; i < nvars; i++) {
-    array[i] = table->invperm[i+lower];
-    }
-
-} /* end of copyOrder */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Restores the variable order in array by a series of sifts up.]
-
-  Description [Restores the variable order in array by a series of sifts up.
-  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-restoreOrder(
-  DdManager * table,
-  int * array,
-  int  lower,
-  int  upper)
-{
-    int i, x, y, size;
-    int nvars = upper - lower + 1;
-
-    for (i = 0; i < nvars; i++) {
-    x = table->perm[array[i]];
-#ifdef DD_DEBUG
-    assert(x >= lower && x <= upper);
-#endif
-    y = cuddNextLow(table,x);
-    while (y >= i + lower) {
-        size = cuddSwapInPlace(table,y,x);
-        if (size == 0) return(0);
-        x = y;
-        y = cuddNextLow(table,x);
-    }
-    }
-
-    return(1);
-
-} /* end of restoreOrder */
-
diff --git a/src/bdd/cudd/cuddApa.c b/src/bdd/cudd/cuddApa.c
deleted file mode 100644
index 47ab51e8..00000000
--- a/src/bdd/cudd/cuddApa.c
+++ /dev/null
@@ -1,930 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddApa.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Arbitrary precision arithmetic functions.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> 
-        </ul>
-    Internal procedures included in this module:
-        <ul>
-        <li> ()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> ()
-        </ul>]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddApa.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $";
-#endif
-
-static    DdNode    *background, *zero;
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static DdApaNumber cuddApaCountMintermAux ARGS((DdNode * node, int digits, DdApaNumber max, DdApaNumber min, st_table * table));
-static enum st_retval cuddApaStCountfree ARGS((char * key, char * value, char * arg));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the number of digits for an arbitrary precision
-  integer.]
-
-  Description [Finds the number of digits for an arbitrary precision
-  integer given the maximum number of binary digits.  The number of
-  binary digits should be positive. Returns the number of digits if
-  successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-Cudd_ApaNumberOfDigits(
-  int  binaryDigits)
-{
-    int digits;
-
-    digits = binaryDigits / DD_APA_BITS;
-    if ((digits * DD_APA_BITS) != binaryDigits)
-    digits++;
-    return(digits);
-
-} /* end of Cudd_ApaNumberOfDigits */
-       
-
-/**Function********************************************************************
-
-  Synopsis    [Allocates memory for an arbitrary precision integer.]
-
-  Description [Allocates memory for an arbitrary precision
-  integer. Returns a pointer to the allocated memory if successful;
-  NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdApaNumber
-Cudd_NewApaNumber(
-  int  digits)
-{
-    return(ALLOC(DdApaDigit, digits));
-
-} /* end of Cudd_NewApaNumber */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Makes a copy of an arbitrary precision integer.]
-
-  Description [Makes a copy of an arbitrary precision integer.]
-
-  SideEffects [Changes parameter <code>dest</code>.]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-Cudd_ApaCopy(
-  int  digits,
-  DdApaNumber  source,
-  DdApaNumber  dest)
-{
-    int i;
-
-    for (i = 0; i < digits; i++) {
-    dest[i] = source[i];
-    }
-
-} /* end of Cudd_ApaCopy */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Adds two arbitrary precision integers.]
-
-  Description [Adds two arbitrary precision integers.  Returns the
-  carry out of the most significant digit.]
-
-  SideEffects [The result of the sum is stored in parameter <code>sum</code>.]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdApaDigit
-Cudd_ApaAdd(
-  int  digits,
-  DdApaNumber  a,
-  DdApaNumber  b,
-  DdApaNumber  sum)
-{
-    int i;
-    DdApaDoubleDigit partial = 0;
-
-    for (i = digits - 1; i >= 0; i--) {
-    partial = a[i] + b[i] + DD_MSDIGIT(partial);
-    sum[i] = (DdApaDigit) DD_LSDIGIT(partial);
-    }
-    return(DD_MSDIGIT(partial));
-
-} /* end of Cudd_ApaAdd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Subtracts two arbitrary precision integers.]
-
-  Description [Subtracts two arbitrary precision integers.  Returns the
-  borrow out of the most significant digit.]
-
-  SideEffects [The result of the subtraction is stored in parameter
-  <code>diff</code>.]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdApaDigit
-Cudd_ApaSubtract(
-  int  digits,
-  DdApaNumber  a,
-  DdApaNumber  b,
-  DdApaNumber  diff)
-{
-    int i;
-    DdApaDoubleDigit partial = DD_APA_BASE;
-
-    for (i = digits - 1; i >= 0; i--) {
-    partial = a[i] - b[i] + DD_MSDIGIT(partial) + DD_APA_MASK;
-    diff[i] = (DdApaDigit) DD_LSDIGIT(partial);
-    }
-    return(DD_MSDIGIT(partial) - 1);
-
-} /* end of Cudd_ApaSubtract */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Divides an arbitrary precision integer by a digit.]
-
-  Description [Divides an arbitrary precision integer by a digit.]
-
-  SideEffects [The quotient is returned in parameter <code>quotient</code>.]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdApaDigit
-Cudd_ApaShortDivision(
-  int  digits,
-  DdApaNumber  dividend,
-  DdApaDigit  divisor,
-  DdApaNumber  quotient)
-{
-    int i;
-    DdApaDigit remainder;
-    DdApaDoubleDigit partial;
-
-    remainder = 0;
-    for (i = 0; i < digits; i++) {
-    partial = remainder * DD_APA_BASE + dividend[i];
-    quotient[i] = (DdApaDigit) (partial/(DdApaDoubleDigit)divisor);
-    remainder = (DdApaDigit) (partial % divisor);
-    }
-
-    return(remainder);
-
-} /* end of Cudd_ApaShortDivision */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Divides an arbitrary precision integer by an integer.]
-
-  Description [Divides an arbitrary precision integer by a 32-bit
-  unsigned integer. Returns the remainder of the division. This
-  procedure relies on the assumption that the number of bits of a
-  DdApaDigit plus the number of bits of an unsigned int is less the
-  number of bits of the mantissa of a double. This guarantees that the
-  product of a DdApaDigit and an unsigned int can be represented
-  without loss of precision by a double. On machines where this
-  assumption is not satisfied, this procedure will malfunction.]
-
-  SideEffects [The quotient is returned in parameter <code>quotient</code>.]
-
-  SeeAlso     [Cudd_ApaShortDivision]
-
-******************************************************************************/
-unsigned int
-Cudd_ApaIntDivision(
-  int  digits,
-  DdApaNumber dividend,
-  unsigned int divisor,
-  DdApaNumber quotient)
-{
-    int i;
-    double partial;
-    unsigned int remainder = 0;
-    double ddiv = (double) divisor;
-
-    for (i = 0; i < digits; i++) {
-    partial = (double) remainder * DD_APA_BASE + dividend[i];
-    quotient[i] = (DdApaDigit) (partial / ddiv);
-    remainder = (unsigned int) (partial - ((double)quotient[i] * ddiv));
-    }
-
-    return(remainder);
-
-} /* end of Cudd_ApaIntDivision */
-
-
-/**Function********************************************************************
-
-  Synopsis [Shifts right an arbitrary precision integer by one binary
-  place.]
-
-  Description [Shifts right an arbitrary precision integer by one
-  binary place. The most significant binary digit of the result is
-  taken from parameter <code>in</code>.]
-
-  SideEffects [The result is returned in parameter <code>b</code>.]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-Cudd_ApaShiftRight(
-  int  digits,
-  DdApaDigit  in,
-  DdApaNumber  a,
-  DdApaNumber  b)
-{
-    int i;
-
-    for (i = digits - 1; i > 0; i--) {
-    b[i] = (a[i] >> 1) | ((a[i-1] & 1) << (DD_APA_BITS - 1));
-    }
-    b[0] = (a[0] >> 1) | (in << (DD_APA_BITS - 1));
-
-} /* end of Cudd_ApaShiftRight */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets an arbitrary precision integer to a one-digit literal.]
-
-  Description [Sets an arbitrary precision integer to a one-digit literal.]
-
-  SideEffects [The result is returned in parameter <code>number</code>.]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-Cudd_ApaSetToLiteral(
-  int  digits,
-  DdApaNumber  number,
-  DdApaDigit  literal)
-{
-    int i;
-
-    for (i = 0; i < digits - 1; i++)
-    number[i] = 0;
-    number[digits - 1] = literal;
-
-} /* end of Cudd_ApaSetToLiteral */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets an arbitrary precision integer to a power of two.]
-
-  Description [Sets an arbitrary precision integer to a power of
-  two. If the power of two is too large to be represented, the number
-  is set to 0.]
-
-  SideEffects [The result is returned in parameter <code>number</code>.]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-Cudd_ApaPowerOfTwo(
-  int  digits,
-  DdApaNumber  number,
-  int  power)
-{
-    int i;
-    int index;
-
-    for (i = 0; i < digits; i++)
-    number[i] = 0;
-    i = digits - 1 - power / DD_APA_BITS;
-    if (i < 0) return;
-    index = power & (DD_APA_BITS - 1);
-    number[i] = 1 << index;
-
-} /* end of Cudd_ApaPowerOfTwo */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Compares two arbitrary precision integers.]
-
-  Description [Compares two arbitrary precision integers. Returns 1 if
-  the first number is larger; 0 if they are equal; -1 if the second
-  number is larger.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-Cudd_ApaCompare(
-  int digitsFirst,
-  DdApaNumber  first,
-  int digitsSecond,
-  DdApaNumber  second)
-{
-    int i;
-    int firstNZ, secondNZ;
-
-    /* Find first non-zero in both numbers. */
-    for (firstNZ = 0; firstNZ < digitsFirst; firstNZ++)
-    if (first[firstNZ] != 0) break;
-    for (secondNZ = 0; secondNZ < digitsSecond; secondNZ++)
-    if (second[secondNZ] != 0) break;
-    if (digitsFirst - firstNZ > digitsSecond - secondNZ) return(1);
-    else if (digitsFirst - firstNZ < digitsSecond - secondNZ) return(-1);
-    for (i = 0; i < digitsFirst - firstNZ; i++) {
-    if (first[firstNZ + i] > second[secondNZ + i]) return(1);
-    else if (first[firstNZ + i] < second[secondNZ + i]) return(-1);
-    }
-    return(0);
-
-} /* end of Cudd_ApaCompare */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Compares the ratios of two arbitrary precision integers to two
-  unsigned ints.]
-
-  Description [Compares the ratios of two arbitrary precision integers
-  to two unsigned ints. Returns 1 if the first number is larger; 0 if
-  they are equal; -1 if the second number is larger.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-Cudd_ApaCompareRatios(
-  int digitsFirst,
-  DdApaNumber firstNum,
-  unsigned int firstDen,
-  int digitsSecond,
-  DdApaNumber secondNum,
-  unsigned int secondDen)
-{
-    int result;
-    DdApaNumber first, second;
-    unsigned int firstRem, secondRem;
-
-    first = Cudd_NewApaNumber(digitsFirst);
-    firstRem = Cudd_ApaIntDivision(digitsFirst,firstNum,firstDen,first);
-    second = Cudd_NewApaNumber(digitsSecond);
-    secondRem = Cudd_ApaIntDivision(digitsSecond,secondNum,secondDen,second);
-    result = Cudd_ApaCompare(digitsFirst,first,digitsSecond,second);
-    if (result == 0) {
-    if ((double)firstRem/firstDen > (double)secondRem/secondDen)
-        return(1);
-    else if ((double)firstRem/firstDen < (double)secondRem/secondDen)
-        return(-1);
-    }
-    return(result);
-
-} /* end of Cudd_ApaCompareRatios */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints an arbitrary precision integer in hexadecimal format.]
-
-  Description [Prints an arbitrary precision integer in hexadecimal format.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ApaPrintDecimal Cudd_ApaPrintExponential]
-
-******************************************************************************/
-int
-Cudd_ApaPrintHex(
-  FILE * fp,
-  int  digits,
-  DdApaNumber  number)
-{
-    int i, result;
-
-    for (i = 0; i < digits; i++) {
-    result = fprintf(fp,DD_APA_HEXPRINT,number[i]);
-    if (result == EOF)
-        return(0);
-    }
-    return(1);
-
-} /* end of Cudd_ApaPrintHex */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints an arbitrary precision integer in decimal format.]
-
-  Description [Prints an arbitrary precision integer in decimal format.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ApaPrintHex Cudd_ApaPrintExponential]
-
-******************************************************************************/
-int
-Cudd_ApaPrintDecimal(
-  FILE * fp,
-  int  digits,
-  DdApaNumber  number)
-{
-    int i, result;
-    DdApaDigit remainder;
-    DdApaNumber work;
-    unsigned char *decimal;
-    int leadingzero;
-    int decimalDigits = (int) (digits * log10((double) DD_APA_BASE)) + 1;
-    
-    work = Cudd_NewApaNumber(digits);
-    if (work == NULL)
-    return(0);
-    decimal = ALLOC(unsigned char, decimalDigits);
-    if (decimal == NULL) {
-    FREE(work);
-    return(0);
-    }
-    Cudd_ApaCopy(digits,number,work);
-    for (i = decimalDigits - 1; i >= 0; i--) {
-    remainder = Cudd_ApaShortDivision(digits,work,(DdApaDigit) 10,work);
-    decimal[i] = remainder;
-    }
-    FREE(work);
-
-    leadingzero = 1;
-    for (i = 0; i < decimalDigits; i++) {
-    leadingzero = leadingzero && (decimal[i] == 0);
-    if ((!leadingzero) || (i == (decimalDigits - 1))) {
-        result = fprintf(fp,"%1d",decimal[i]);
-        if (result == EOF) {
-        FREE(decimal);
-        return(0);
-        }
-    }
-    }
-    FREE(decimal);
-    return(1);
-
-} /* end of Cudd_ApaPrintDecimal */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints an arbitrary precision integer in exponential format.]
-
-  Description [Prints an arbitrary precision integer in exponential format.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ApaPrintHex Cudd_ApaPrintDecimal]
-
-******************************************************************************/
-int
-Cudd_ApaPrintExponential(
-  FILE * fp,
-  int  digits,
-  DdApaNumber  number,
-  int precision)
-{
-    int i, first, last, result;
-    DdApaDigit remainder;
-    DdApaNumber work;
-    unsigned char *decimal;
-    int decimalDigits = (int) (digits * log10((double) DD_APA_BASE)) + 1;
-    
-    work = Cudd_NewApaNumber(digits);
-    if (work == NULL)
-    return(0);
-    decimal = ALLOC(unsigned char, decimalDigits);
-    if (decimal == NULL) {
-    FREE(work);
-    return(0);
-    }
-    Cudd_ApaCopy(digits,number,work);
-    first = decimalDigits - 1;
-    for (i = decimalDigits - 1; i >= 0; i--) {
-    remainder = Cudd_ApaShortDivision(digits,work,(DdApaDigit) 10,work);
-    decimal[i] = remainder;
-    if (remainder != 0) first = i; /* keep track of MS non-zero */
-    }
-    FREE(work);
-    last = ddMin(first + precision, decimalDigits);
-
-    for (i = first; i < last; i++) {
-    result = fprintf(fp,"%s%1d",i == first+1 ? "." : "", decimal[i]);
-    if (result == EOF) {
-        FREE(decimal);
-        return(0);
-    }
-    }
-    FREE(decimal);
-    result = fprintf(fp,"e+%d",decimalDigits - first - 1);
-    if (result == EOF) {
-    return(0);
-    }
-    return(1);
-
-} /* end of Cudd_ApaPrintExponential */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts the number of minterms of a DD.]
-
-  Description [Counts the number of minterms of a DD. The function is
-  assumed to depend on nvars variables. The minterm count is
-  represented as an arbitrary precision unsigned integer, to allow for
-  any number of variables CUDD supports.  Returns a pointer to the
-  array representing the number of minterms of the function rooted at
-  node if successful; NULL otherwise.]
-
-  SideEffects [The number of digits of the result is returned in
-  parameter <code>digits</code>.]
-
-  SeeAlso     [Cudd_CountMinterm]
-
-******************************************************************************/
-DdApaNumber
-Cudd_ApaCountMinterm(
-  DdManager * manager,
-  DdNode * node,
-  int  nvars,
-  int * digits)
-{
-    DdApaNumber    max, min;
-    st_table    *table;
-    DdApaNumber    i,count;    
-
-    background = manager->background;
-    zero = Cudd_Not(manager->one);
-
-    *digits = Cudd_ApaNumberOfDigits(nvars+1);
-    max = Cudd_NewApaNumber(*digits);
-    if (max == NULL) {
-    return(NULL);
-    }
-    Cudd_ApaPowerOfTwo(*digits,max,nvars);
-    min = Cudd_NewApaNumber(*digits);
-    if (min == NULL) {
-    FREE(max);
-    return(NULL);
-    }
-    Cudd_ApaSetToLiteral(*digits,min,0);
-    table = st_init_table(st_ptrcmp,st_ptrhash);
-    if (table == NULL) {
-    FREE(max);
-    FREE(min);
-    return(NULL);
-    }
-    i = cuddApaCountMintermAux(Cudd_Regular(node),*digits,max,min,table);
-    if (i == NULL) {
-    FREE(max);
-    FREE(min);
-    st_foreach(table, cuddApaStCountfree, NULL);
-    st_free_table(table);
-    return(NULL);
-    }
-    count = Cudd_NewApaNumber(*digits);
-    if (count == NULL) {
-    FREE(max);
-    FREE(min);
-    st_foreach(table, cuddApaStCountfree, NULL);
-    st_free_table(table);
-    if (Cudd_Regular(node)->ref == 1) FREE(i);
-    return(NULL);
-    }
-    if (Cudd_IsComplement(node)) {
-    (void) Cudd_ApaSubtract(*digits,max,i,count);
-    } else {
-    Cudd_ApaCopy(*digits,i,count);
-    }
-    FREE(max);
-    FREE(min);
-    st_foreach(table, cuddApaStCountfree, NULL);
-    st_free_table(table);
-    if (Cudd_Regular(node)->ref == 1) FREE(i);
-    return(count);
-
-} /* end of Cudd_ApaCountMinterm */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints the number of minterms of a BDD or ADD using
-  arbitrary precision arithmetic.]
-
-  Description [Prints the number of minterms of a BDD or ADD using
-  arbitrary precision arithmetic. Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ApaPrintMintermExp]
-
-******************************************************************************/
-int
-Cudd_ApaPrintMinterm(
-  FILE * fp,
-  DdManager * dd,
-  DdNode * node,
-  int  nvars)
-{
-    int digits;
-    int result;
-    DdApaNumber count;
-
-    count = Cudd_ApaCountMinterm(dd,node,nvars,&digits);
-    if (count == NULL)
-    return(0);
-    result = Cudd_ApaPrintDecimal(fp,digits,count);
-    FREE(count);
-    if (fprintf(fp,"\n") == EOF) {
-    return(0);
-    }
-    return(result);
-
-} /* end of Cudd_ApaPrintMinterm */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints the number of minterms of a BDD or ADD in exponential
-  format using arbitrary precision arithmetic.]
-
-  Description [Prints the number of minterms of a BDD or ADD in
-  exponential format using arbitrary precision arithmetic. Parameter
-  precision controls the number of signficant digits printed. Returns
-  1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ApaPrintMinterm]
-
-******************************************************************************/
-int
-Cudd_ApaPrintMintermExp(
-  FILE * fp,
-  DdManager * dd,
-  DdNode * node,
-  int  nvars,
-  int precision)
-{
-    int digits;
-    int result;
-    DdApaNumber count;
-
-    count = Cudd_ApaCountMinterm(dd,node,nvars,&digits);
-    if (count == NULL)
-    return(0);
-    result = Cudd_ApaPrintExponential(fp,digits,count,precision);
-    FREE(count);
-    if (fprintf(fp,"\n") == EOF) {
-    return(0);
-    }
-    return(result);
-
-} /* end of Cudd_ApaPrintMintermExp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints the density of a BDD or ADD using
-  arbitrary precision arithmetic.]
-
-  Description [Prints the density of a BDD or ADD using
-  arbitrary precision arithmetic. Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-Cudd_ApaPrintDensity(
-  FILE * fp,
-  DdManager * dd,
-  DdNode * node,
-  int  nvars)
-{
-    int digits;
-    int result;
-    DdApaNumber count,density;
-    unsigned int size, remainder, fractional;
-
-    count = Cudd_ApaCountMinterm(dd,node,nvars,&digits);
-    if (count == NULL)
-    return(0);
-    size = Cudd_DagSize(node);
-    density = Cudd_NewApaNumber(digits);
-    remainder = Cudd_ApaIntDivision(digits,count,size,density);
-    result = Cudd_ApaPrintDecimal(fp,digits,density);
-    FREE(count);
-    FREE(density);
-    fractional = (unsigned int)((double)remainder / size * 1000000);
-    if (fprintf(fp,".%u\n", fractional) == EOF) {
-    return(0);
-    }
-    return(result);
-
-} /* end of Cudd_ApaPrintDensity */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_ApaCountMinterm.]
-
-  Description [Performs the recursive step of Cudd_ApaCountMinterm.
-  It is based on the following identity. Let |f| be the
-  number of minterms of f. Then:
-  <xmp>
-    |f| = (|f0|+|f1|)/2
-  </xmp>
-  where f0 and f1 are the two cofactors of f.
-  Uses the identity <code>|f'| = max - |f|</code>.
-  The procedure expects the argument "node" to be a regular pointer, and
-  guarantees this condition is met in the recursive calls.
-  For efficiency, the result of a call is cached only if the node has
-  a reference count greater than 1.
-  Returns the number of minterms of the function rooted at node.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static DdApaNumber
-cuddApaCountMintermAux(
-  DdNode * node,
-  int  digits,
-  DdApaNumber  max,
-  DdApaNumber  min,
-  st_table * table)
-{
-    DdNode      *Nt, *Ne;
-    DdApaNumber    mint, mint1, mint2;
-    DdApaDigit    carryout;
-
-    if (cuddIsConstant(node)) {
-    if (node == background || node == zero) {
-        return(min);
-    } else {
-        return(max);
-    }
-    }
-    if (node->ref > 1 && st_lookup(table, (char *)node, (char **)&mint)) {
-    return(mint);
-    }
-
-    Nt = cuddT(node); Ne = cuddE(node);
-
-    mint1 = cuddApaCountMintermAux(Nt,  digits, max, min, table);
-    if (mint1 == NULL) return(NULL);
-    mint2 = cuddApaCountMintermAux(Cudd_Regular(Ne), digits, max, min, table);
-    if (mint2 == NULL) {
-    if (Nt->ref == 1) FREE(mint1);
-    return(NULL);
-    }
-    mint = Cudd_NewApaNumber(digits);
-    if (mint == NULL) {
-    if (Nt->ref == 1) FREE(mint1);
-    if (Cudd_Regular(Ne)->ref == 1) FREE(mint2);
-    return(NULL);
-    }
-    if (Cudd_IsComplement(Ne)) {
-    (void) Cudd_ApaSubtract(digits,max,mint2,mint);
-    carryout = Cudd_ApaAdd(digits,mint1,mint,mint);
-    } else {
-    carryout = Cudd_ApaAdd(digits,mint1,mint2,mint);
-    }
-    Cudd_ApaShiftRight(digits,carryout,mint,mint);
-    /* If the refernce count of a child is 1, its minterm count
-    ** hasn't been stored in table.  Therefore, it must be explicitly
-    ** freed here. */
-    if (Nt->ref == 1) FREE(mint1);
-    if (Cudd_Regular(Ne)->ref == 1) FREE(mint2);
-    
-    if (node->ref > 1) {
-    if (st_insert(table, (char *)node, (char *)mint) == ST_OUT_OF_MEM) {
-        FREE(mint);
-        return(NULL);
-    }
-    }
-    return(mint);
-
-} /* end of cuddApaCountMintermAux */
-
-
-/**Function********************************************************************
-
-  Synopsis [Frees the memory used to store the minterm counts recorded
-  in the visited table.]
-
-  Description [Frees the memory used to store the minterm counts
-  recorded in the visited table. Returns ST_CONTINUE.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static enum st_retval
-cuddApaStCountfree(
-  char * key,
-  char * value,
-  char * arg)
-{
-    DdApaNumber    d;
-
-    d = (DdApaNumber) value;
-    FREE(d);
-    return(ST_CONTINUE);
-
-} /* end of cuddApaStCountfree */
-
-
diff --git a/src/bdd/cudd/cuddApprox.c b/src/bdd/cudd/cuddApprox.c
deleted file mode 100644
index debcf48b..00000000
--- a/src/bdd/cudd/cuddApprox.c
+++ /dev/null
@@ -1,2192 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddApprox.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Procedures to approximate a given BDD.]
-
-  Description [External procedures provided by this module:
-                <ul>
-        <li> Cudd_UnderApprox()
-        <li> Cudd_OverApprox()
-        <li> Cudd_RemapUnderApprox()
-        <li> Cudd_RemapOverApprox()
-        <li> Cudd_BiasedUnderApprox()
-        <li> Cudd_BiasedOverApprox()
-        </ul>
-           Internal procedures included in this module:
-        <ul>
-        <li> cuddUnderApprox()
-        <li> cuddRemapUnderApprox()
-        <li> cuddBiasedUnderApprox()
-        </ul>
-           Static procedures included in this module:
-        <ul>
-        <li> gatherInfoAux()
-        <li> gatherInfo()
-        <li> computeSavings()
-        <li> UAmarkNodes()
-        <li> UAbuildSubset()
-        <li> updateRefs()
-        <li> RAmarkNodes()
-        <li> BAmarkNodes()
-        <li> RAbuildSubset()
-        </ul>
-        ]
-
-  SeeAlso     [cuddSubsetHB.c cuddSubsetSP.c cuddGenCof.c]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-               Boulder.  The University of Colorado at Boulder makes no
-           warranty about the suitability of this software for any
-           purpose.  It is presented on an AS IS basis.]
-
-******************************************************************************/
-
-#ifdef __STDC__
-#include <float.h>
-#else
-#define DBL_MAX_EXP 1024
-#endif
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#define NOTHING        0
-#define REPLACE_T    1
-#define REPLACE_E    2
-#define REPLACE_N    3
-#define REPLACE_TT    4
-#define REPLACE_TE    5
-
-#define DONT_CARE    0
-#define CARE        1
-#define TOTAL_CARE    2
-#define CARE_ERROR    3
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/* Data structure to store the information on each node. It keeps the
-** number of minterms of the function rooted at this node in terms of
-** the number of variables specified by the user; the number of
-** minterms of the complement; the impact of the number of minterms of
-** this function on the number of minterms of the root function; the
-** reference count of the node from within the root function; the
-** reference count of the node from an internal node; and the flag
-** that says whether the node should be replaced and how. */
-typedef struct NodeData {
-    double mintermsP;        /* minterms for the regular node */
-    double mintermsN;        /* minterms for the complemented node */
-    int functionRef;        /* references from within this function */
-    char care;            /* node intersects care set */
-    char replace;        /* replacement decision */
-    short int parity;        /* 1: even; 2: odd; 3: both */
-    DdNode *resultP;        /* result for even parity */
-    DdNode *resultN;        /* result for odd parity */
-} NodeData;
-
-typedef struct ApproxInfo {
-    DdNode *one;        /* one constant */
-    DdNode *zero;        /* BDD zero constant */
-    NodeData *page;        /* per-node information */
-    st_table *table;        /* hash table to access the per-node info */
-    int index;            /* index of the current node */
-    double max;            /* max number of minterms */
-    int size;            /* how many nodes are left */
-    double minterms;        /* how many minterms are left */
-} ApproxInfo;
-
-/* Item of the queue used in the levelized traversal of the BDD. */
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-typedef struct GlobalQueueItem {
-    struct GlobalQueueItem *next;
-    struct GlobalQueueItem *cnext;
-    DdNode *node;
-    double impactP;
-    double impactN;
-} GlobalQueueItem;
- 
-typedef struct LocalQueueItem {
-    struct LocalQueueItem *next;
-    struct LocalQueueItem *cnext;
-    DdNode *node;
-    int localRef;
-} LocalQueueItem;
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-
-    
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddApprox.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static void updateParity ARGS((DdNode *node, ApproxInfo *info, int newparity));
-static NodeData * gatherInfoAux ARGS((DdNode *node, ApproxInfo *info, int parity));
-static ApproxInfo * gatherInfo ARGS((DdManager *dd, DdNode *node, int numVars, int parity));
-static int computeSavings ARGS((DdManager *dd, DdNode *f, DdNode *skip, ApproxInfo *info, DdLevelQueue *queue));
-static int updateRefs ARGS((DdManager *dd, DdNode *f, DdNode *skip, ApproxInfo *info, DdLevelQueue *queue));
-static int UAmarkNodes ARGS((DdManager *dd, DdNode *f, ApproxInfo *info, int threshold, int safe, double quality));
-static DdNode * UAbuildSubset ARGS((DdManager *dd, DdNode *node, ApproxInfo *info));
-static int RAmarkNodes ARGS((DdManager *dd, DdNode *f, ApproxInfo *info, int threshold, double quality));
-static int BAmarkNodes ARGS((DdManager *dd, DdNode *f, ApproxInfo *info, int threshold, double quality1, double quality0));
-static DdNode * RAbuildSubset ARGS((DdManager *dd, DdNode *node, ApproxInfo *info));
-static int BAapplyBias ARGS((DdManager *dd, DdNode *f, DdNode *b, ApproxInfo *info, DdHashTable *cache));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis [Extracts a dense subset from a BDD with Shiple's
-  underapproximation method.]
-
-  Description [Extracts a dense subset from a BDD. This procedure uses
-  a variant of Tom Shiple's underapproximation method. The main
-  difference from the original method is that density is used as cost
-  function.  Returns a pointer to the BDD of the subset if
-  successful. NULL if the procedure runs out of memory. The parameter
-  numVars is the maximum number of variables to be used in minterm
-  calculation.  The optimal number should be as close as possible to
-  the size of the support of f.  However, it is safe to pass the value
-  returned by Cudd_ReadSize for numVars when the number of variables
-  is under 1023.  If numVars is larger than 1023, it will cause
-  overflow. If a 0 parameter is passed then the procedure will compute
-  a value which will avoid overflow but will cause underflow with 2046
-  variables or more.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SubsetShortPaths Cudd_SubsetHeavyBranch Cudd_ReadSize]
-
-******************************************************************************/
-DdNode *
-Cudd_UnderApprox(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be subset */,
-  int  numVars /* number of variables in the support of f */,
-  int  threshold /* when to stop approximation */,
-  int  safe /* enforce safe approximation */,
-  double  quality /* minimum improvement for accepted changes */)
-{
-    DdNode *subset;
-
-    do {
-    dd->reordered = 0;
-    subset = cuddUnderApprox(dd, f, numVars, threshold, safe, quality);
-    } while (dd->reordered == 1);
-
-    return(subset);
-
-} /* end of Cudd_UnderApprox */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Extracts a dense superset from a BDD with Shiple's
-  underapproximation method.]
-
-  Description [Extracts a dense superset from a BDD. The procedure is
-  identical to the underapproximation procedure except for the fact that it
-  works on the complement of the given function. Extracting the subset
-  of the complement function is equivalent to extracting the superset
-  of the function.
-  Returns a pointer to the BDD of the superset if successful. NULL if
-  intermediate result causes the procedure to run out of memory. The
-  parameter numVars is the maximum number of variables to be used in
-  minterm calculation.  The optimal number
-  should be as close as possible to the size of the support of f.
-  However, it is safe to pass the value returned by Cudd_ReadSize for
-  numVars when the number of variables is under 1023.  If numVars is
-  larger than 1023, it will overflow. If a 0 parameter is passed then
-  the procedure will compute a value which will avoid overflow but
-  will cause underflow with 2046 variables or more.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SupersetHeavyBranch Cudd_SupersetShortPaths Cudd_ReadSize]
-
-******************************************************************************/
-DdNode *
-Cudd_OverApprox(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be superset */,
-  int  numVars /* number of variables in the support of f */,
-  int  threshold /* when to stop approximation */,
-  int  safe /* enforce safe approximation */,
-  double  quality /* minimum improvement for accepted changes */)
-{
-    DdNode *subset, *g;
-
-    g = Cudd_Not(f);    
-    do {
-    dd->reordered = 0;
-    subset = cuddUnderApprox(dd, g, numVars, threshold, safe, quality);
-    } while (dd->reordered == 1);
-    
-    return(Cudd_NotCond(subset, (subset != NULL)));
-    
-} /* end of Cudd_OverApprox */
-
-
-/**Function********************************************************************
-
-  Synopsis [Extracts a dense subset from a BDD with the remapping
-  underapproximation method.]
-
-  Description [Extracts a dense subset from a BDD. This procedure uses
-  a remapping technique and density as the cost function.
-  Returns a pointer to the BDD of the subset if
-  successful. NULL if the procedure runs out of memory. The parameter
-  numVars is the maximum number of variables to be used in minterm
-  calculation.  The optimal number should be as close as possible to
-  the size of the support of f.  However, it is safe to pass the value
-  returned by Cudd_ReadSize for numVars when the number of variables
-  is under 1023.  If numVars is larger than 1023, it will cause
-  overflow. If a 0 parameter is passed then the procedure will compute
-  a value which will avoid overflow but will cause underflow with 2046
-  variables or more.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SubsetShortPaths Cudd_SubsetHeavyBranch Cudd_UnderApprox Cudd_ReadSize]
-
-******************************************************************************/
-DdNode *
-Cudd_RemapUnderApprox(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be subset */,
-  int  numVars /* number of variables in the support of f */,
-  int  threshold /* when to stop approximation */,
-  double  quality /* minimum improvement for accepted changes */)
-{
-    DdNode *subset;
-
-    do {
-    dd->reordered = 0;
-    subset = cuddRemapUnderApprox(dd, f, numVars, threshold, quality);
-    } while (dd->reordered == 1);
-
-    return(subset);
-
-} /* end of Cudd_RemapUnderApprox */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Extracts a dense superset from a BDD with the remapping
-  underapproximation method.]
-
-  Description [Extracts a dense superset from a BDD. The procedure is
-  identical to the underapproximation procedure except for the fact that it
-  works on the complement of the given function. Extracting the subset
-  of the complement function is equivalent to extracting the superset
-  of the function.
-  Returns a pointer to the BDD of the superset if successful. NULL if
-  intermediate result causes the procedure to run out of memory. The
-  parameter numVars is the maximum number of variables to be used in
-  minterm calculation.  The optimal number
-  should be as close as possible to the size of the support of f.
-  However, it is safe to pass the value returned by Cudd_ReadSize for
-  numVars when the number of variables is under 1023.  If numVars is
-  larger than 1023, it will overflow. If a 0 parameter is passed then
-  the procedure will compute a value which will avoid overflow but
-  will cause underflow with 2046 variables or more.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SupersetHeavyBranch Cudd_SupersetShortPaths Cudd_ReadSize]
-
-******************************************************************************/
-DdNode *
-Cudd_RemapOverApprox(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be superset */,
-  int  numVars /* number of variables in the support of f */,
-  int  threshold /* when to stop approximation */,
-  double  quality /* minimum improvement for accepted changes */)
-{
-    DdNode *subset, *g;
-
-    g = Cudd_Not(f);    
-    do {
-    dd->reordered = 0;
-    subset = cuddRemapUnderApprox(dd, g, numVars, threshold, quality);
-    } while (dd->reordered == 1);
-    
-    return(Cudd_NotCond(subset, (subset != NULL)));
-    
-} /* end of Cudd_RemapOverApprox */
-
-
-/**Function********************************************************************
-
-  Synopsis [Extracts a dense subset from a BDD with the biased
-  underapproximation method.]
-
-  Description [Extracts a dense subset from a BDD. This procedure uses
-  a biased remapping technique and density as the cost function. The bias
-  is a function. This procedure tries to approximate where the bias is 0
-  and preserve the given function where the bias is 1.
-  Returns a pointer to the BDD of the subset if
-  successful. NULL if the procedure runs out of memory. The parameter
-  numVars is the maximum number of variables to be used in minterm
-  calculation.  The optimal number should be as close as possible to
-  the size of the support of f.  However, it is safe to pass the value
-  returned by Cudd_ReadSize for numVars when the number of variables
-  is under 1023.  If numVars is larger than 1023, it will cause
-  overflow. If a 0 parameter is passed then the procedure will compute
-  a value which will avoid overflow but will cause underflow with 2046
-  variables or more.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SubsetShortPaths Cudd_SubsetHeavyBranch Cudd_UnderApprox
-  Cudd_RemapUnderApprox Cudd_ReadSize]
-
-******************************************************************************/
-DdNode *
-Cudd_BiasedUnderApprox(
-  DdManager *dd /* manager */,
-  DdNode *f /* function to be subset */,
-  DdNode *b /* bias function */,
-  int numVars /* number of variables in the support of f */,
-  int threshold /* when to stop approximation */,
-  double quality1 /* minimum improvement for accepted changes when b=1 */,
-  double quality0 /* minimum improvement for accepted changes when b=0 */)
-{
-    DdNode *subset;
-
-    do {
-    dd->reordered = 0;
-    subset = cuddBiasedUnderApprox(dd, f, b, numVars, threshold, quality1,
-                       quality0);
-    } while (dd->reordered == 1);
-
-    return(subset);
-
-} /* end of Cudd_BiasedUnderApprox */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Extracts a dense superset from a BDD with the biased
-  underapproximation method.]
-
-  Description [Extracts a dense superset from a BDD. The procedure is
-  identical to the underapproximation procedure except for the fact that it
-  works on the complement of the given function. Extracting the subset
-  of the complement function is equivalent to extracting the superset
-  of the function.
-  Returns a pointer to the BDD of the superset if successful. NULL if
-  intermediate result causes the procedure to run out of memory. The
-  parameter numVars is the maximum number of variables to be used in
-  minterm calculation.  The optimal number
-  should be as close as possible to the size of the support of f.
-  However, it is safe to pass the value returned by Cudd_ReadSize for
-  numVars when the number of variables is under 1023.  If numVars is
-  larger than 1023, it will overflow. If a 0 parameter is passed then
-  the procedure will compute a value which will avoid overflow but
-  will cause underflow with 2046 variables or more.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SupersetHeavyBranch Cudd_SupersetShortPaths
-  Cudd_RemapOverApprox Cudd_BiasedUnderApprox Cudd_ReadSize]
-
-******************************************************************************/
-DdNode *
-Cudd_BiasedOverApprox(
-  DdManager *dd /* manager */,
-  DdNode *f /* function to be superset */,
-  DdNode *b /* bias function */,
-  int numVars /* number of variables in the support of f */,
-  int threshold /* when to stop approximation */,
-  double quality1 /* minimum improvement for accepted changes when b=1*/,
-  double quality0 /* minimum improvement for accepted changes when b=0 */)
-{
-    DdNode *subset, *g;
-
-    g = Cudd_Not(f);    
-    do {
-    dd->reordered = 0;
-    subset = cuddBiasedUnderApprox(dd, g, b, numVars, threshold, quality1,
-                      quality0);
-    } while (dd->reordered == 1);
-    
-    return(Cudd_NotCond(subset, (subset != NULL)));
-    
-} /* end of Cudd_BiasedOverApprox */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Applies Tom Shiple's underappoximation algorithm.]
-
-  Description [Applies Tom Shiple's underappoximation algorithm. Proceeds
-  in three phases:
-  <ul>
-  <li> collect information on each node in the BDD; this is done via DFS.
-  <li> traverse the BDD in top-down fashion and compute for each node
-  whether its elimination increases density.
-  <li> traverse the BDD via DFS and actually perform the elimination.
-  </ul>
-  Returns the approximated BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_UnderApprox]
-
-******************************************************************************/
-DdNode *
-cuddUnderApprox(
-  DdManager * dd /* DD manager */,
-  DdNode * f /* current DD */,
-  int  numVars /* maximum number of variables */,
-  int  threshold /* threshold under which approximation stops */,
-  int  safe /* enforce safe approximation */,
-  double  quality /* minimum improvement for accepted changes */)
-{
-    ApproxInfo *info;
-    DdNode *subset;
-    int result;
-
-    if (f == NULL) {
-    fprintf(dd->err, "Cannot subset, nil object\n");
-    return(NULL);
-    }
-
-    if (Cudd_IsConstant(f)) {
-    return(f);
-    }
-
-    /* Create table where node data are accessible via a hash table. */
-    info = gatherInfo(dd, f, numVars, safe);
-    if (info == NULL) {
-    (void) fprintf(dd->err, "Out-of-memory; Cannot subset\n");
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-
-    /* Mark nodes that should be replaced by zero. */
-    result = UAmarkNodes(dd, f, info, threshold, safe, quality);
-    if (result == 0) {
-    (void) fprintf(dd->err, "Out-of-memory; Cannot subset\n");
-    FREE(info->page);
-    st_free_table(info->table);
-    FREE(info);
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-
-    /* Build the result. */
-    subset = UAbuildSubset(dd, f, info);
-#if 1
-    if (subset && info->size < Cudd_DagSize(subset))
-    (void) fprintf(dd->err, "Wrong prediction: %d versus actual %d\n",
-               info->size, Cudd_DagSize(subset));
-#endif
-    FREE(info->page);
-    st_free_table(info->table);
-    FREE(info);
-
-#ifdef DD_DEBUG
-    if (subset != NULL) {
-    cuddRef(subset);
-#if 0
-    (void) Cudd_DebugCheck(dd);
-    (void) Cudd_CheckKeys(dd);
-#endif
-    if (!Cudd_bddLeq(dd, subset, f)) {
-        (void) fprintf(dd->err, "Wrong subset\n");
-        dd->errorCode = CUDD_INTERNAL_ERROR;
-    }
-    cuddDeref(subset);
-    }
-#endif
-    return(subset);
-
-} /* end of cuddUnderApprox */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Applies the remapping underappoximation algorithm.]
-
-  Description [Applies the remapping underappoximation algorithm.
-  Proceeds in three phases:
-  <ul>
-  <li> collect information on each node in the BDD; this is done via DFS.
-  <li> traverse the BDD in top-down fashion and compute for each node
-  whether remapping increases density.
-  <li> traverse the BDD via DFS and actually perform the elimination.
-  </ul>
-  Returns the approximated BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_RemapUnderApprox]
-
-******************************************************************************/
-DdNode *
-cuddRemapUnderApprox(
-  DdManager * dd /* DD manager */,
-  DdNode * f /* current DD */,
-  int  numVars /* maximum number of variables */,
-  int  threshold /* threshold under which approximation stops */,
-  double  quality /* minimum improvement for accepted changes */)
-{
-    ApproxInfo *info;
-    DdNode *subset;
-    int result;
-
-    if (f == NULL) {
-    fprintf(dd->err, "Cannot subset, nil object\n");
-    dd->errorCode = CUDD_INVALID_ARG;
-    return(NULL);
-    }
-
-    if (Cudd_IsConstant(f)) {
-    return(f);
-    }
-
-    /* Create table where node data are accessible via a hash table. */
-    info = gatherInfo(dd, f, numVars, TRUE);
-    if (info == NULL) {
-    (void) fprintf(dd->err, "Out-of-memory; Cannot subset\n");
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-
-    /* Mark nodes that should be replaced by zero. */
-    result = RAmarkNodes(dd, f, info, threshold, quality);
-    if (result == 0) {
-    (void) fprintf(dd->err, "Out-of-memory; Cannot subset\n");
-    FREE(info->page);
-    st_free_table(info->table);
-    FREE(info);
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-
-    /* Build the result. */
-    subset = RAbuildSubset(dd, f, info);
-#if 1
-    if (subset && info->size < Cudd_DagSize(subset))
-    (void) fprintf(dd->err, "Wrong prediction: %d versus actual %d\n",
-               info->size, Cudd_DagSize(subset));
-#endif
-    FREE(info->page);
-    st_free_table(info->table);
-    FREE(info);
-
-#ifdef DD_DEBUG
-    if (subset != NULL) {
-    cuddRef(subset);
-#if 0
-    (void) Cudd_DebugCheck(dd);
-    (void) Cudd_CheckKeys(dd);
-#endif
-    if (!Cudd_bddLeq(dd, subset, f)) {
-        (void) fprintf(dd->err, "Wrong subset\n");
-    }
-    cuddDeref(subset);
-    dd->errorCode = CUDD_INTERNAL_ERROR;
-    }
-#endif
-    return(subset);
-
-} /* end of cuddRemapUnderApprox */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Applies the biased remapping underappoximation algorithm.]
-
-  Description [Applies the biased remapping underappoximation algorithm.
-  Proceeds in three phases:
-  <ul>
-  <li> collect information on each node in the BDD; this is done via DFS.
-  <li> traverse the BDD in top-down fashion and compute for each node
-  whether remapping increases density.
-  <li> traverse the BDD via DFS and actually perform the elimination.
-  </ul>
-  Returns the approximated BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_BiasedUnderApprox]
-
-******************************************************************************/
-DdNode *
-cuddBiasedUnderApprox(
-  DdManager *dd /* DD manager */,
-  DdNode *f /* current DD */,
-  DdNode *b /* bias function */,
-  int numVars /* maximum number of variables */,
-  int threshold /* threshold under which approximation stops */,
-  double quality1 /* minimum improvement for accepted changes when b=1 */,
-  double quality0 /* minimum improvement for accepted changes when b=1 */)
-{
-    ApproxInfo *info;
-    DdNode *subset;
-    int result;
-    DdHashTable    *cache;
-
-    if (f == NULL) {
-    fprintf(dd->err, "Cannot subset, nil object\n");
-    dd->errorCode = CUDD_INVALID_ARG;
-    return(NULL);
-    }
-
-    if (Cudd_IsConstant(f)) {
-    return(f);
-    }
-
-    /* Create table where node data are accessible via a hash table. */
-    info = gatherInfo(dd, f, numVars, TRUE);
-    if (info == NULL) {
-    (void) fprintf(dd->err, "Out-of-memory; Cannot subset\n");
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-
-    cache = cuddHashTableInit(dd,2,2);
-    result = BAapplyBias(dd, Cudd_Regular(f), b, info, cache);
-    if (result == CARE_ERROR) {
-    (void) fprintf(dd->err, "Out-of-memory; Cannot subset\n");
-    cuddHashTableQuit(cache);
-    FREE(info->page);
-    st_free_table(info->table);
-    FREE(info);
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    cuddHashTableQuit(cache);
-
-    /* Mark nodes that should be replaced by zero. */
-    result = BAmarkNodes(dd, f, info, threshold, quality1, quality0);
-    if (result == 0) {
-    (void) fprintf(dd->err, "Out-of-memory; Cannot subset\n");
-    FREE(info->page);
-    st_free_table(info->table);
-    FREE(info);
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-
-    /* Build the result. */
-    subset = RAbuildSubset(dd, f, info);
-#if 1
-    if (subset && info->size < Cudd_DagSize(subset))
-    (void) fprintf(dd->err, "Wrong prediction: %d versus actual %d\n",
-               info->size, Cudd_DagSize(subset));
-#endif
-    FREE(info->page);
-    st_free_table(info->table);
-    FREE(info);
-
-#ifdef DD_DEBUG
-    if (subset != NULL) {
-    cuddRef(subset);
-#if 0
-    (void) Cudd_DebugCheck(dd);
-    (void) Cudd_CheckKeys(dd);
-#endif
-    if (!Cudd_bddLeq(dd, subset, f)) {
-        (void) fprintf(dd->err, "Wrong subset\n");
-    }
-    cuddDeref(subset);
-    dd->errorCode = CUDD_INTERNAL_ERROR;
-    }
-#endif
-    return(subset);
-
-} /* end of cuddBiasedUnderApprox */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Recursively update the parity of the paths reaching a node.]
-
-  Description [Recursively update the parity of the paths reaching a node.
-  Assumes that node is regular and propagates the invariant.]
-
-  SideEffects [None]
-
-  SeeAlso     [gatherInfoAux]
-
-******************************************************************************/
-static void
-updateParity(
-  DdNode * node /* function to analyze */,
-  ApproxInfo * info /* info on BDD */,
-  int  newparity /* new parity for node */)
-{
-    NodeData *infoN;
-    DdNode *E;
-
-    if (!st_lookup(info->table, (char *)node, (char **)&infoN)) return;
-    if ((infoN->parity & newparity) != 0) return;
-    infoN->parity |= newparity;
-    if (Cudd_IsConstant(node)) return;
-    updateParity(cuddT(node),info,newparity);
-    E = cuddE(node);
-    if (Cudd_IsComplement(E)) {
-    updateParity(Cudd_Not(E),info,3-newparity);
-    } else {
-    updateParity(E,info,newparity);
-    }
-    return;
-
-} /* end of updateParity */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Recursively counts minterms and computes reference counts
-  of each node in the BDD.]
-
-  Description [Recursively counts minterms and computes reference
-  counts of each node in the BDD.  Similar to the cuddCountMintermAux
-  which recursively counts the number of minterms for the dag rooted
-  at each node in terms of the total number of variables (max). It assumes
-  that the node pointer passed to it is regular and it maintains the
-  invariant.]
-
-  SideEffects [None]
-
-  SeeAlso     [gatherInfo]
-
-******************************************************************************/
-static NodeData *
-gatherInfoAux(
-  DdNode * node /* function to analyze */,
-  ApproxInfo * info /* info on BDD */,
-  int  parity /* gather parity information */)
-{
-    DdNode    *N, *Nt, *Ne;
-    NodeData    *infoN, *infoT, *infoE;
-
-    N = Cudd_Regular(node);
-
-    /* Check whether entry for this node exists. */
-    if (st_lookup(info->table, (char *)N, (char **)&infoN)) {
-    if (parity) {
-        /* Update parity and propagate. */
-        updateParity(N, info, 1 +  (int) Cudd_IsComplement(node));
-    }
-    return(infoN);
-    }
-
-    /* Compute the cofactors. */
-    Nt = Cudd_NotCond(cuddT(N), N != node);
-    Ne = Cudd_NotCond(cuddE(N), N != node);
-
-    infoT = gatherInfoAux(Nt, info, parity);
-    if (infoT == NULL) return(NULL);
-    infoE = gatherInfoAux(Ne, info, parity);
-    if (infoE == NULL) return(NULL);
-
-    infoT->functionRef++;
-    infoE->functionRef++;
-
-    /* Point to the correct location in the page. */
-    infoN = &(info->page[info->index++]);
-    infoN->parity |= 1 + (short) Cudd_IsComplement(node);
-
-    infoN->mintermsP = infoT->mintermsP/2;
-    infoN->mintermsN = infoT->mintermsN/2;
-    if (Cudd_IsComplement(Ne) ^ Cudd_IsComplement(node)) {
-    infoN->mintermsP += infoE->mintermsN/2;
-    infoN->mintermsN += infoE->mintermsP/2;
-    } else {
-    infoN->mintermsP += infoE->mintermsP/2;
-    infoN->mintermsN += infoE->mintermsN/2;
-    }
-
-    /* Insert entry for the node in the table. */
-    if (st_insert(info->table,(char *)N, (char *)infoN) == ST_OUT_OF_MEM) {
-    return(NULL);
-    }
-    return(infoN);
-
-} /* end of gatherInfoAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Gathers information about each node.]
-
-  Description [Counts minterms and computes reference counts of each
-  node in the BDD . The minterm count is separately computed for the
-  node and its complement. This is to avoid cancellation
-  errors. Returns a pointer to the data structure holding the
-  information gathered if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddUnderApprox gatherInfoAux]
-
-******************************************************************************/
-static ApproxInfo *
-gatherInfo(
-  DdManager * dd /* manager */,
-  DdNode * node /* function to be analyzed */,
-  int  numVars /* number of variables node depends on */,
-  int  parity /* gather parity information */)
-{
-    ApproxInfo    *info;
-    NodeData *infoTop;
-
-    /* If user did not give numVars value, set it to the maximum
-    ** exponent that the pow function can take. The -1 is due to the
-    ** discrepancy in the value that pow takes and the value that
-    ** log gives.
-    */
-    if (numVars == 0) {
-    numVars = DBL_MAX_EXP - 1;
-    }
-
-    info = ALLOC(ApproxInfo,1);
-    if (info == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    info->max = pow(2.0,(double) numVars);
-    info->one = DD_ONE(dd);
-    info->zero = Cudd_Not(info->one);
-    info->size = Cudd_DagSize(node);
-    /* All the information gathered will be stored in a contiguous
-    ** piece of memory, which is allocated here. This can be done
-    ** efficiently because we have counted the number of nodes of the
-    ** BDD. info->index points to the next available entry in the array
-    ** that stores the per-node information. */
-    info->page = ALLOC(NodeData,info->size);
-    if (info->page == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    FREE(info);
-    return(NULL);
-    }
-    memset(info->page, 0, info->size * sizeof(NodeData)); /* clear all page */
-    info->table = st_init_table(st_ptrcmp,st_ptrhash);
-    if (info->table == NULL) {
-    FREE(info->page);
-    FREE(info);
-    return(NULL);
-    }
-    /* We visit the DAG in post-order DFS. Hence, the constant node is
-    ** in first position, and the root of the DAG is in last position. */
-
-    /* Info for the constant node: Initialize only fields different from 0. */
-    if (st_insert(info->table, (char *)info->one, (char *)info->page) == ST_OUT_OF_MEM) {
-    FREE(info->page);
-    FREE(info);
-    st_free_table(info->table);
-    return(NULL);
-    }
-    info->page[0].mintermsP = info->max;
-    info->index = 1;
-
-    infoTop = gatherInfoAux(node,info,parity);
-    if (infoTop == NULL) {
-    FREE(info->page);
-    st_free_table(info->table);
-    FREE(info);
-    return(NULL);
-    }
-    if (Cudd_IsComplement(node)) {
-    info->minterms = infoTop->mintermsN;
-    } else {
-    info->minterms = infoTop->mintermsP;
-    }
-
-    infoTop->functionRef = 1;
-    return(info);
-
-} /* end of gatherInfo */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts the nodes that would be eliminated if a given node
-  were replaced by zero.]
-
-  Description [Counts the nodes that would be eliminated if a given
-  node were replaced by zero. This procedure uses a queue passed by
-  the caller for efficiency: since the queue is left empty at the
-  endof the search, it can be reused as is by the next search. Returns
-  the count (always striclty positive) if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddUnderApprox]
-
-******************************************************************************/
-static int
-computeSavings(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * skip,
-  ApproxInfo * info,
-  DdLevelQueue * queue)
-{
-    NodeData *infoN;
-    LocalQueueItem *item;
-    DdNode *node;
-    int savings = 0;
-
-    node = Cudd_Regular(f);
-    skip = Cudd_Regular(skip);
-    /* Insert the given node in the level queue. Its local reference
-    ** count is set equal to the function reference count so that the
-    ** search will continue from it when it is retrieved. */
-    item = (LocalQueueItem *)
-    cuddLevelQueueEnqueue(queue,node,cuddI(dd,node->index));
-    if (item == NULL)
-    return(0);
-    (void) st_lookup(info->table, (char *)node, (char **)&infoN);
-    item->localRef = infoN->functionRef;
-
-    /* Process the queue. */
-    while (queue->first != NULL) {
-    item = (LocalQueueItem *) queue->first;
-    node = item->node;
-    cuddLevelQueueDequeue(queue,cuddI(dd,node->index));
-    if (node == skip) continue;
-    (void) st_lookup(info->table, (char *)node, (char **)&infoN);
-    if (item->localRef != infoN->functionRef) {
-        /* This node is shared. */
-        continue;
-    }
-    savings++;
-    if (!cuddIsConstant(cuddT(node))) {
-        item = (LocalQueueItem *) cuddLevelQueueEnqueue(queue,cuddT(node),
-                     cuddI(dd,cuddT(node)->index));
-        if (item == NULL) return(0);
-        item->localRef++;
-    }
-    if (!Cudd_IsConstant(cuddE(node))) {
-        item = (LocalQueueItem *) cuddLevelQueueEnqueue(queue,Cudd_Regular(cuddE(node)),
-                     cuddI(dd,Cudd_Regular(cuddE(node))->index));
-        if (item == NULL) return(0);
-        item->localRef++;
-    }
-    }
-
-#ifdef DD_DEBUG
-    /* At the end of a local search the queue should be empty. */
-    assert(queue->size == 0);
-#endif
-    return(savings);
-
-} /* end of computeSavings */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Update function reference counts.]
-
-  Description [Update function reference counts to account for replacement.
-  Returns the number of nodes saved if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [UAmarkNodes RAmarkNodes]
-
-******************************************************************************/
-static int
-updateRefs(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * skip,
-  ApproxInfo * info,
-  DdLevelQueue * queue)
-{
-    NodeData *infoN;
-    LocalQueueItem *item;
-    DdNode *node;
-    int savings = 0;
-
-    node = Cudd_Regular(f);
-    /* Insert the given node in the level queue. Its function reference
-    ** count is set equal to 0 so that the search will continue from it
-    ** when it is retrieved. */
-    item = (LocalQueueItem *) cuddLevelQueueEnqueue(queue,node,cuddI(dd,node->index));
-    if (item == NULL)
-    return(0);
-    (void) st_lookup(info->table, (char *)node, (char **)&infoN);
-    infoN->functionRef = 0;
-
-    if (skip != NULL) {
-    /* Increase the function reference count of the node to be skipped
-    ** by 1 to account for the node pointing to it that will be created. */
-    skip = Cudd_Regular(skip);
-    (void) st_lookup(info->table, (char *)skip, (char **)&infoN);
-    infoN->functionRef++;
-    }
-
-    /* Process the queue. */
-    while (queue->first != NULL) {
-    item = (LocalQueueItem *) queue->first;
-    node = item->node;
-    cuddLevelQueueDequeue(queue,cuddI(dd,node->index));
-    (void) st_lookup(info->table, (char *)node, (char **)&infoN);
-    if (infoN->functionRef != 0) {
-        /* This node is shared or must be skipped. */
-        continue;
-    }
-    savings++;
-    if (!cuddIsConstant(cuddT(node))) {
-        item = (LocalQueueItem *) cuddLevelQueueEnqueue(queue,cuddT(node),
-                     cuddI(dd,cuddT(node)->index));
-        if (item == NULL) return(0);
-        (void) st_lookup(info->table, (char *)cuddT(node),
-                 (char **)&infoN);
-        infoN->functionRef--;
-    }
-    if (!Cudd_IsConstant(cuddE(node))) {
-        item = (LocalQueueItem *) cuddLevelQueueEnqueue(queue,Cudd_Regular(cuddE(node)),
-                     cuddI(dd,Cudd_Regular(cuddE(node))->index));
-        if (item == NULL) return(0);
-        (void) st_lookup(info->table, (char *)Cudd_Regular(cuddE(node)),
-                 (char **)&infoN);
-        infoN->functionRef--;
-    }
-    }
-
-#ifdef DD_DEBUG
-    /* At the end of a local search the queue should be empty. */
-    assert(queue->size == 0);
-#endif
-    return(savings);
-
-} /* end of updateRefs */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Marks nodes for replacement by zero.]
-
-  Description [Marks nodes for replacement by zero. Returns 1 if successful;
-  0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddUnderApprox]
-
-******************************************************************************/
-static int
-UAmarkNodes(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be analyzed */,
-  ApproxInfo * info /* info on BDD */,
-  int  threshold /* when to stop approximating */,
-  int  safe /* enforce safe approximation */,
-  double  quality /* minimum improvement for accepted changes */)
-{
-    DdLevelQueue *queue;
-    DdLevelQueue *localQueue;
-    NodeData *infoN;
-    GlobalQueueItem *item;
-    DdNode *node;
-    double numOnset;
-    double impactP, impactN;
-    int savings;
-
-#if 0
-    (void) printf("initial size = %d initial minterms = %g\n",
-          info->size, info->minterms);
-#endif
-    queue = cuddLevelQueueInit(dd->size,sizeof(GlobalQueueItem),info->size);
-    if (queue == NULL) {
-    return(0);
-    }
-    localQueue = cuddLevelQueueInit(dd->size,sizeof(LocalQueueItem),
-                    dd->initSlots);
-    if (localQueue == NULL) {
-    cuddLevelQueueQuit(queue);
-    return(0);
-    }
-    node = Cudd_Regular(f);
-    item = (GlobalQueueItem *) cuddLevelQueueEnqueue(queue,node,cuddI(dd,node->index));
-    if (item == NULL) {
-    cuddLevelQueueQuit(queue);
-    cuddLevelQueueQuit(localQueue);
-    return(0);
-    }
-    if (Cudd_IsComplement(f)) {
-    item->impactP = 0.0;
-    item->impactN = 1.0;
-    } else {
-    item->impactP = 1.0;
-    item->impactN = 0.0;
-    }
-    while (queue->first != NULL) {
-    /* If the size of the subset is below the threshold, quit. */
-    if (info->size <= threshold)
-        break;
-    item = (GlobalQueueItem *) queue->first;
-    node = item->node;
-    node = Cudd_Regular(node);
-    (void) st_lookup(info->table, (char *)node, (char **)&infoN);
-    if (safe && infoN->parity == 3) {
-        cuddLevelQueueDequeue(queue,cuddI(dd,node->index));
-        continue;
-    }
-    impactP = item->impactP;
-    impactN = item->impactN;
-    numOnset = infoN->mintermsP * impactP + infoN->mintermsN * impactN;
-    savings = computeSavings(dd,node,NULL,info,localQueue);
-    if (savings == 0) {
-        cuddLevelQueueQuit(queue);
-        cuddLevelQueueQuit(localQueue);
-        return(0);
-    }
-    cuddLevelQueueDequeue(queue,cuddI(dd,node->index));
-#if 0
-    (void) printf("node %p: impact = %g/%g numOnset = %g savings %d\n",
-              node, impactP, impactN, numOnset, savings);
-#endif
-    if ((1 - numOnset / info->minterms) >
-        quality * (1 - (double) savings / info->size)) {
-        infoN->replace = TRUE;
-        info->size -= savings;
-        info->minterms -=numOnset;
-#if 0
-        (void) printf("replace: new size = %d new minterms = %g\n",
-              info->size, info->minterms);
-#endif
-        savings -= updateRefs(dd,node,NULL,info,localQueue);
-        assert(savings == 0);
-        continue;
-    }
-    if (!cuddIsConstant(cuddT(node))) {
-        item = (GlobalQueueItem *) cuddLevelQueueEnqueue(queue,cuddT(node),
-                     cuddI(dd,cuddT(node)->index));
-        item->impactP += impactP/2.0;
-        item->impactN += impactN/2.0;
-    }
-    if (!Cudd_IsConstant(cuddE(node))) {
-        item = (GlobalQueueItem *) cuddLevelQueueEnqueue(queue,Cudd_Regular(cuddE(node)),
-                     cuddI(dd,Cudd_Regular(cuddE(node))->index));
-        if (Cudd_IsComplement(cuddE(node))) {
-        item->impactP += impactN/2.0;
-        item->impactN += impactP/2.0;
-        } else {
-        item->impactP += impactP/2.0;
-        item->impactN += impactN/2.0;
-        }
-    }
-    }
-
-    cuddLevelQueueQuit(queue);
-    cuddLevelQueueQuit(localQueue);
-    return(1);
-
-} /* end of UAmarkNodes */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Builds the subset BDD.] 
-
-  Description [Builds the subset BDD. Based on the info table,
-  replaces selected nodes by zero. Returns a pointer to the result if
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddUnderApprox]
-
-******************************************************************************/
-static DdNode *
-UAbuildSubset(
-  DdManager * dd /* DD manager */,
-  DdNode * node /* current node */,
-  ApproxInfo * info /* node info */)
-{
-
-    DdNode *Nt, *Ne, *N, *t, *e, *r;
-    NodeData *infoN;
-
-    if (Cudd_IsConstant(node))
-    return(node);
-
-    N = Cudd_Regular(node);
-
-    if (st_lookup(info->table, (char *)N, (char **)&infoN)) {
-    if (infoN->replace == TRUE) {
-        return(info->zero);
-    }
-    if (N == node ) {
-        if (infoN->resultP != NULL) {
-        return(infoN->resultP);
-        }
-    } else {
-        if (infoN->resultN != NULL) {
-        return(infoN->resultN);
-        }
-    }
-    } else {
-    (void) fprintf(dd->err,
-               "Something is wrong, ought to be in info table\n");
-    dd->errorCode = CUDD_INTERNAL_ERROR;
-    return(NULL);
-    }
-
-    Nt = Cudd_NotCond(cuddT(N), Cudd_IsComplement(node));
-    Ne = Cudd_NotCond(cuddE(N), Cudd_IsComplement(node));
-
-    t = UAbuildSubset(dd, Nt, info);
-    if (t == NULL) {
-    return(NULL);
-    }
-    cuddRef(t);
-
-    e = UAbuildSubset(dd, Ne, info);
-    if (e == NULL) {
-    Cudd_RecursiveDeref(dd,t);
-    return(NULL);
-    }
-    cuddRef(e);
-
-    if (Cudd_IsComplement(t)) {
-    t = Cudd_Not(t);
-    e = Cudd_Not(e);
-    r = (t == e) ? t : cuddUniqueInter(dd, N->index, t, e);
-    if (r == NULL) {
-        Cudd_RecursiveDeref(dd, e);
-        Cudd_RecursiveDeref(dd, t);
-        return(NULL);
-    }
-    r = Cudd_Not(r);
-    } else {
-    r = (t == e) ? t : cuddUniqueInter(dd, N->index, t, e);
-    if (r == NULL) {
-        Cudd_RecursiveDeref(dd, e);
-        Cudd_RecursiveDeref(dd, t);
-        return(NULL);
-    }
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-
-    if (N == node) {
-    infoN->resultP = r;
-    } else {
-    infoN->resultN = r;
-    }
-
-    return(r);
-
-} /* end of UAbuildSubset */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Marks nodes for remapping.]
-
-  Description [Marks nodes for remapping. Returns 1 if successful; 0
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddRemapUnderApprox]
-
-******************************************************************************/
-static int
-RAmarkNodes(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be analyzed */,
-  ApproxInfo * info /* info on BDD */,
-  int  threshold /* when to stop approximating */,
-  double  quality /* minimum improvement for accepted changes */)
-{
-    DdLevelQueue *queue;
-    DdLevelQueue *localQueue;
-    NodeData *infoN, *infoT, *infoE;
-    GlobalQueueItem *item;
-    DdNode *node, *T, *E;
-    DdNode *shared; /* grandchild shared by the two children of node */
-    double numOnset;
-    double impact, impactP, impactN;
-    double minterms;
-    int savings;
-    int replace;
-
-#if 0
-    (void) fprintf(dd->out,"initial size = %d initial minterms = %g\n",
-          info->size, info->minterms);
-#endif
-    queue = cuddLevelQueueInit(dd->size,sizeof(GlobalQueueItem),info->size);
-    if (queue == NULL) {
-    return(0);
-    }
-    localQueue = cuddLevelQueueInit(dd->size,sizeof(LocalQueueItem),
-                    dd->initSlots);
-    if (localQueue == NULL) {
-    cuddLevelQueueQuit(queue);
-    return(0);
-    }
-    /* Enqueue regular pointer to root and initialize impact. */
-    node = Cudd_Regular(f);
-    item = (GlobalQueueItem *)
-    cuddLevelQueueEnqueue(queue,node,cuddI(dd,node->index));
-    if (item == NULL) {
-    cuddLevelQueueQuit(queue);
-    cuddLevelQueueQuit(localQueue);
-    return(0);
-    }
-    if (Cudd_IsComplement(f)) {
-    item->impactP = 0.0;
-    item->impactN = 1.0;
-    } else {
-    item->impactP = 1.0;
-    item->impactN = 0.0;
-    }
-    /* The nodes retrieved here are guaranteed to be non-terminal.
-    ** The initial node is not terminal because constant nodes are
-    ** dealt with in the calling procedure. Subsequent nodes are inserted
-    ** only if they are not terminal. */
-    while (queue->first != NULL) {
-    /* If the size of the subset is below the threshold, quit. */
-    if (info->size <= threshold)
-        break;
-    item = (GlobalQueueItem *) queue->first;
-    node = item->node;
-#ifdef DD_DEBUG
-    assert(item->impactP >= 0 && item->impactP <= 1.0);
-    assert(item->impactN >= 0 && item->impactN <= 1.0);
-    assert(!Cudd_IsComplement(node));
-    assert(!Cudd_IsConstant(node));
-#endif
-    if (!st_lookup(info->table, (char *)node, (char **)&infoN)) {
-        cuddLevelQueueQuit(queue);
-        cuddLevelQueueQuit(localQueue);
-        return(0);
-    }
-#ifdef DD_DEBUG
-    assert(infoN->parity >= 1 && infoN->parity <= 3);
-#endif
-    if (infoN->parity == 3) {
-        /* This node can be reached through paths of different parity.
-        ** It is not safe to replace it, because remapping will give
-        ** an incorrect result, while replacement by 0 may cause node
-        ** splitting. */
-        cuddLevelQueueDequeue(queue,cuddI(dd,node->index));
-        continue;
-    }
-    T = cuddT(node);
-    E = cuddE(node);
-    shared = NULL;
-    impactP = item->impactP;
-    impactN = item->impactN;
-    if (Cudd_bddLeq(dd,T,E)) {
-        /* Here we know that E is regular. */
-#ifdef DD_DEBUG
-        assert(!Cudd_IsComplement(E));
-#endif
-        (void) st_lookup(info->table, (char *)T, (char **)&infoT);
-        (void) st_lookup(info->table, (char *)E, (char **)&infoE);
-        if (infoN->parity == 1) {
-        impact = impactP;
-        minterms = infoE->mintermsP/2.0 - infoT->mintermsP/2.0;
-        if (infoE->functionRef == 1 && !Cudd_IsConstant(E)) {
-            savings = 1 + computeSavings(dd,E,NULL,info,localQueue);
-            if (savings == 1) {
-            cuddLevelQueueQuit(queue);
-            cuddLevelQueueQuit(localQueue);
-            return(0);
-            }
-        } else {
-            savings = 1;
-        }
-        replace = REPLACE_E;
-        } else {
-#ifdef DD_DEBUG
-        assert(infoN->parity == 2);
-#endif
-        impact = impactN;
-        minterms = infoT->mintermsN/2.0 - infoE->mintermsN/2.0;
-        if (infoT->functionRef == 1 && !Cudd_IsConstant(T)) {
-            savings = 1 + computeSavings(dd,T,NULL,info,localQueue);
-            if (savings == 1) {
-            cuddLevelQueueQuit(queue);
-            cuddLevelQueueQuit(localQueue);
-            return(0);
-            }
-        } else {
-            savings = 1;
-        }
-        replace = REPLACE_T;
-        }
-        numOnset = impact * minterms;
-    } else if (Cudd_bddLeq(dd,E,T)) {
-        /* Here E may be complemented. */
-        DdNode *Ereg = Cudd_Regular(E);
-        (void) st_lookup(info->table, (char *)T, (char **)&infoT);
-        (void) st_lookup(info->table, (char *)Ereg, (char **)&infoE);
-        if (infoN->parity == 1) {
-        impact = impactP;
-        minterms = infoT->mintermsP/2.0 -
-            ((E == Ereg) ? infoE->mintermsP : infoE->mintermsN)/2.0;
-        if (infoT->functionRef == 1 && !Cudd_IsConstant(T)) {
-            savings = 1 + computeSavings(dd,T,NULL,info,localQueue);
-            if (savings == 1) {
-            cuddLevelQueueQuit(queue);
-            cuddLevelQueueQuit(localQueue);
-            return(0);
-            }
-        } else {
-            savings = 1;
-        }
-        replace = REPLACE_T;
-        } else {
-#ifdef DD_DEBUG
-        assert(infoN->parity == 2);
-#endif
-        impact = impactN;
-        minterms = ((E == Ereg) ? infoE->mintermsN :
-                infoE->mintermsP)/2.0 - infoT->mintermsN/2.0;
-        if (infoE->functionRef == 1 && !Cudd_IsConstant(E)) {
-            savings = 1 + computeSavings(dd,E,NULL,info,localQueue);
-            if (savings == 1) {
-            cuddLevelQueueQuit(queue);
-            cuddLevelQueueQuit(localQueue);
-            return(0);
-            }
-        } else {
-            savings = 1;
-        }
-        replace = REPLACE_E;
-        }
-        numOnset = impact * minterms;
-    } else {
-        DdNode *Ereg = Cudd_Regular(E);
-        DdNode *TT = cuddT(T);
-        DdNode *ET = Cudd_NotCond(cuddT(Ereg), Cudd_IsComplement(E));
-        if (T->index == Ereg->index && TT == ET) {
-        shared = TT;
-        replace = REPLACE_TT;
-        } else {
-        DdNode *TE = cuddE(T);
-        DdNode *EE = Cudd_NotCond(cuddE(Ereg), Cudd_IsComplement(E));
-        if (T->index == Ereg->index && TE == EE) {
-            shared = TE;
-            replace = REPLACE_TE;
-        } else {
-            replace = REPLACE_N;
-        }
-        }
-        numOnset = infoN->mintermsP * impactP + infoN->mintermsN * impactN;
-        savings = computeSavings(dd,node,shared,info,localQueue);
-        if (shared != NULL) {
-        NodeData *infoS;
-        (void) st_lookup(info->table, (char *)Cudd_Regular(shared),
-                 (char **)&infoS);
-        if (Cudd_IsComplement(shared)) {
-            numOnset -= (infoS->mintermsN * impactP +
-            infoS->mintermsP * impactN)/2.0;
-        } else {
-            numOnset -= (infoS->mintermsP * impactP +
-            infoS->mintermsN * impactN)/2.0;
-        }
-        savings--;
-        }
-    }
-
-    cuddLevelQueueDequeue(queue,cuddI(dd,node->index));
-#if 0
-    if (replace == REPLACE_T || replace == REPLACE_E)
-        (void) printf("node %p: impact = %g numOnset = %g savings %d\n",
-              node, impact, numOnset, savings);
-    else
-        (void) printf("node %p: impact = %g/%g numOnset = %g savings %d\n",
-              node, impactP, impactN, numOnset, savings);
-#endif
-    if ((1 - numOnset / info->minterms) >
-        quality * (1 - (double) savings / info->size)) {
-        infoN->replace = replace;
-        info->size -= savings;
-        info->minterms -=numOnset;
-#if 0
-        (void) printf("remap(%d): new size = %d new minterms = %g\n",
-              replace, info->size, info->minterms);
-#endif
-        if (replace == REPLACE_N) {
-        savings -= updateRefs(dd,node,NULL,info,localQueue);
-        } else if (replace == REPLACE_T) {
-        savings -= updateRefs(dd,node,E,info,localQueue);
-        } else if (replace == REPLACE_E) {
-        savings -= updateRefs(dd,node,T,info,localQueue);
-        } else {
-#ifdef DD_DEBUG
-        assert(replace == REPLACE_TT || replace == REPLACE_TE);
-#endif
-        savings -= updateRefs(dd,node,shared,info,localQueue) - 1;
-        }
-        assert(savings == 0);
-    } else {
-        replace = NOTHING;
-    }
-    if (replace == REPLACE_N) continue;
-    if ((replace == REPLACE_E || replace == NOTHING) &&
-        !cuddIsConstant(cuddT(node))) {
-        item = (GlobalQueueItem *) cuddLevelQueueEnqueue(queue,cuddT(node),
-                     cuddI(dd,cuddT(node)->index));
-        if (replace == REPLACE_E) {
-        item->impactP += impactP;
-        item->impactN += impactN;
-        } else {
-        item->impactP += impactP/2.0;
-        item->impactN += impactN/2.0;
-        }
-    }
-    if ((replace == REPLACE_T || replace == NOTHING) &&
-        !Cudd_IsConstant(cuddE(node))) {
-        item = (GlobalQueueItem *) cuddLevelQueueEnqueue(queue,Cudd_Regular(cuddE(node)),
-                     cuddI(dd,Cudd_Regular(cuddE(node))->index));
-        if (Cudd_IsComplement(cuddE(node))) {
-        if (replace == REPLACE_T) {
-            item->impactP += impactN;
-            item->impactN += impactP;
-        } else {
-            item->impactP += impactN/2.0;
-            item->impactN += impactP/2.0;
-        }
-        } else {
-        if (replace == REPLACE_T) {
-            item->impactP += impactP;
-            item->impactN += impactN;
-        } else {
-            item->impactP += impactP/2.0;
-            item->impactN += impactN/2.0;
-        }
-        }
-    }
-    if ((replace == REPLACE_TT || replace == REPLACE_TE) &&
-        !Cudd_IsConstant(shared)) {
-        item = (GlobalQueueItem *) cuddLevelQueueEnqueue(queue,Cudd_Regular(shared),
-                     cuddI(dd,Cudd_Regular(shared)->index));
-        if (Cudd_IsComplement(shared)) {
-        if (replace == REPLACE_T) {
-            item->impactP += impactN;
-            item->impactN += impactP;
-        } else {
-            item->impactP += impactN/2.0;
-            item->impactN += impactP/2.0;
-        }
-        } else {
-        if (replace == REPLACE_T) {
-            item->impactP += impactP;
-            item->impactN += impactN;
-        } else {
-            item->impactP += impactP/2.0;
-            item->impactN += impactN/2.0;
-        }
-        }
-    }
-    }
-
-    cuddLevelQueueQuit(queue);
-    cuddLevelQueueQuit(localQueue);
-    return(1);
-
-} /* end of RAmarkNodes */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Marks nodes for remapping.]
-
-  Description [Marks nodes for remapping. Returns 1 if successful; 0
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddRemapUnderApprox]
-
-******************************************************************************/
-static int
-BAmarkNodes(
-  DdManager *dd /* manager */,
-  DdNode *f /* function to be analyzed */,
-  ApproxInfo *info /* info on BDD */,
-  int threshold /* when to stop approximating */,
-  double quality1 /* minimum improvement for accepted changes when b=1 */,
-  double quality0 /* minimum improvement for accepted changes when b=0 */)
-{
-    DdLevelQueue *queue;
-    DdLevelQueue *localQueue;
-    NodeData *infoN, *infoT, *infoE;
-    GlobalQueueItem *item;
-    DdNode *node, *T, *E;
-    DdNode *shared; /* grandchild shared by the two children of node */
-    double numOnset;
-    double impact, impactP, impactN;
-    double minterms;
-    double quality;
-    int savings;
-    int replace;
-
-#if 0
-    (void) fprintf(dd->out,"initial size = %d initial minterms = %g\n",
-          info->size, info->minterms);
-#endif
-    queue = cuddLevelQueueInit(dd->size,sizeof(GlobalQueueItem),info->size);
-    if (queue == NULL) {
-    return(0);
-    }
-    localQueue = cuddLevelQueueInit(dd->size,sizeof(LocalQueueItem),
-                    dd->initSlots);
-    if (localQueue == NULL) {
-    cuddLevelQueueQuit(queue);
-    return(0);
-    }
-    /* Enqueue regular pointer to root and initialize impact. */
-    node = Cudd_Regular(f);
-    item = (GlobalQueueItem *)
-    cuddLevelQueueEnqueue(queue,node,cuddI(dd,node->index));
-    if (item == NULL) {
-    cuddLevelQueueQuit(queue);
-    cuddLevelQueueQuit(localQueue);
-    return(0);
-    }
-    if (Cudd_IsComplement(f)) {
-    item->impactP = 0.0;
-    item->impactN = 1.0;
-    } else {
-    item->impactP = 1.0;
-    item->impactN = 0.0;
-    }
-    /* The nodes retrieved here are guaranteed to be non-terminal.
-    ** The initial node is not terminal because constant nodes are
-    ** dealt with in the calling procedure. Subsequent nodes are inserted
-    ** only if they are not terminal. */
-    while (queue->first != NULL) {
-    /* If the size of the subset is below the threshold, quit. */
-    if (info->size <= threshold)
-        break;
-    item = (GlobalQueueItem *) queue->first;
-    node = item->node;
-#ifdef DD_DEBUG
-    assert(item->impactP >= 0 && item->impactP <= 1.0);
-    assert(item->impactN >= 0 && item->impactN <= 1.0);
-    assert(!Cudd_IsComplement(node));
-    assert(!Cudd_IsConstant(node));
-#endif
-    if (!st_lookup(info->table, (char *)node, (char **)&infoN)) {
-        cuddLevelQueueQuit(queue);
-        cuddLevelQueueQuit(localQueue);
-        return(0);
-    }
-    quality = infoN->care ? quality1 : quality0;
-#ifdef DD_DEBUG
-    assert(infoN->parity >= 1 && infoN->parity <= 3);
-#endif
-    if (infoN->parity == 3) {
-        /* This node can be reached through paths of different parity.
-        ** It is not safe to replace it, because remapping will give
-        ** an incorrect result, while replacement by 0 may cause node
-        ** splitting. */
-        cuddLevelQueueDequeue(queue,cuddI(dd,node->index));
-        continue;
-    }
-    T = cuddT(node);
-    E = cuddE(node);
-    shared = NULL;
-    impactP = item->impactP;
-    impactN = item->impactN;
-    if (Cudd_bddLeq(dd,T,E)) {
-        /* Here we know that E is regular. */
-#ifdef DD_DEBUG
-        assert(!Cudd_IsComplement(E));
-#endif
-        (void) st_lookup(info->table, (char *)T, (char **)&infoT);
-        (void) st_lookup(info->table, (char *)E, (char **)&infoE);
-        if (infoN->parity == 1) {
-        impact = impactP;
-        minterms = infoE->mintermsP/2.0 - infoT->mintermsP/2.0;
-        if (infoE->functionRef == 1 && !Cudd_IsConstant(E)) {
-            savings = 1 + computeSavings(dd,E,NULL,info,localQueue);
-            if (savings == 1) {
-            cuddLevelQueueQuit(queue);
-            cuddLevelQueueQuit(localQueue);
-            return(0);
-            }
-        } else {
-            savings = 1;
-        }
-        replace = REPLACE_E;
-        } else {
-#ifdef DD_DEBUG
-        assert(infoN->parity == 2);
-#endif
-        impact = impactN;
-        minterms = infoT->mintermsN/2.0 - infoE->mintermsN/2.0;
-        if (infoT->functionRef == 1 && !Cudd_IsConstant(T)) {
-            savings = 1 + computeSavings(dd,T,NULL,info,localQueue);
-            if (savings == 1) {
-            cuddLevelQueueQuit(queue);
-            cuddLevelQueueQuit(localQueue);
-            return(0);
-            }
-        } else {
-            savings = 1;
-        }
-        replace = REPLACE_T;
-        }
-        numOnset = impact * minterms;
-    } else if (Cudd_bddLeq(dd,E,T)) {
-        /* Here E may be complemented. */
-        DdNode *Ereg = Cudd_Regular(E);
-        (void) st_lookup(info->table, (char *)T, (char **)&infoT);
-        (void) st_lookup(info->table, (char *)Ereg, (char **)&infoE);
-        if (infoN->parity == 1) {
-        impact = impactP;
-        minterms = infoT->mintermsP/2.0 -
-            ((E == Ereg) ? infoE->mintermsP : infoE->mintermsN)/2.0;
-        if (infoT->functionRef == 1 && !Cudd_IsConstant(T)) {
-            savings = 1 + computeSavings(dd,T,NULL,info,localQueue);
-            if (savings == 1) {
-            cuddLevelQueueQuit(queue);
-            cuddLevelQueueQuit(localQueue);
-            return(0);
-            }
-        } else {
-            savings = 1;
-        }
-        replace = REPLACE_T;
-        } else {
-#ifdef DD_DEBUG
-        assert(infoN->parity == 2);
-#endif
-        impact = impactN;
-        minterms = ((E == Ereg) ? infoE->mintermsN :
-                infoE->mintermsP)/2.0 - infoT->mintermsN/2.0;
-        if (infoE->functionRef == 1 && !Cudd_IsConstant(E)) {
-            savings = 1 + computeSavings(dd,E,NULL,info,localQueue);
-            if (savings == 1) {
-            cuddLevelQueueQuit(queue);
-            cuddLevelQueueQuit(localQueue);
-            return(0);
-            }
-        } else {
-            savings = 1;
-        }
-        replace = REPLACE_E;
-        }
-        numOnset = impact * minterms;
-    } else {
-        DdNode *Ereg = Cudd_Regular(E);
-        DdNode *TT = cuddT(T);
-        DdNode *ET = Cudd_NotCond(cuddT(Ereg), Cudd_IsComplement(E));
-        if (T->index == Ereg->index && TT == ET) {
-        shared = TT;
-        replace = REPLACE_TT;
-        } else {
-        DdNode *TE = cuddE(T);
-        DdNode *EE = Cudd_NotCond(cuddE(Ereg), Cudd_IsComplement(E));
-        if (T->index == Ereg->index && TE == EE) {
-            shared = TE;
-            replace = REPLACE_TE;
-        } else {
-            replace = REPLACE_N;
-        }
-        }
-        numOnset = infoN->mintermsP * impactP + infoN->mintermsN * impactN;
-        savings = computeSavings(dd,node,shared,info,localQueue);
-        if (shared != NULL) {
-        NodeData *infoS;
-        (void) st_lookup(info->table, (char *)Cudd_Regular(shared),
-                 (char **)&infoS);
-        if (Cudd_IsComplement(shared)) {
-            numOnset -= (infoS->mintermsN * impactP +
-            infoS->mintermsP * impactN)/2.0;
-        } else {
-            numOnset -= (infoS->mintermsP * impactP +
-            infoS->mintermsN * impactN)/2.0;
-        }
-        savings--;
-        }
-    }
-
-    cuddLevelQueueDequeue(queue,cuddI(dd,node->index));
-#if 0
-    if (replace == REPLACE_T || replace == REPLACE_E)
-        (void) printf("node %p: impact = %g numOnset = %g savings %d\n",
-              node, impact, numOnset, savings);
-    else
-        (void) printf("node %p: impact = %g/%g numOnset = %g savings %d\n",
-              node, impactP, impactN, numOnset, savings);
-#endif
-    if ((1 - numOnset / info->minterms) >
-        quality * (1 - (double) savings / info->size)) {
-        infoN->replace = replace;
-        info->size -= savings;
-        info->minterms -=numOnset;
-#if 0
-        (void) printf("remap(%d): new size = %d new minterms = %g\n",
-              replace, info->size, info->minterms);
-#endif
-        if (replace == REPLACE_N) {
-        savings -= updateRefs(dd,node,NULL,info,localQueue);
-        } else if (replace == REPLACE_T) {
-        savings -= updateRefs(dd,node,E,info,localQueue);
-        } else if (replace == REPLACE_E) {
-        savings -= updateRefs(dd,node,T,info,localQueue);
-        } else {
-#ifdef DD_DEBUG
-        assert(replace == REPLACE_TT || replace == REPLACE_TE);
-#endif
-        savings -= updateRefs(dd,node,shared,info,localQueue) - 1;
-        }
-        assert(savings == 0);
-    } else {
-        replace = NOTHING;
-    }
-    if (replace == REPLACE_N) continue;
-    if ((replace == REPLACE_E || replace == NOTHING) &&
-        !cuddIsConstant(cuddT(node))) {
-        item = (GlobalQueueItem *) cuddLevelQueueEnqueue(queue,cuddT(node),
-                     cuddI(dd,cuddT(node)->index));
-        if (replace == REPLACE_E) {
-        item->impactP += impactP;
-        item->impactN += impactN;
-        } else {
-        item->impactP += impactP/2.0;
-        item->impactN += impactN/2.0;
-        }
-    }
-    if ((replace == REPLACE_T || replace == NOTHING) &&
-        !Cudd_IsConstant(cuddE(node))) {
-        item = (GlobalQueueItem *) cuddLevelQueueEnqueue(queue,Cudd_Regular(cuddE(node)),
-                     cuddI(dd,Cudd_Regular(cuddE(node))->index));
-        if (Cudd_IsComplement(cuddE(node))) {
-        if (replace == REPLACE_T) {
-            item->impactP += impactN;
-            item->impactN += impactP;
-        } else {
-            item->impactP += impactN/2.0;
-            item->impactN += impactP/2.0;
-        }
-        } else {
-        if (replace == REPLACE_T) {
-            item->impactP += impactP;
-            item->impactN += impactN;
-        } else {
-            item->impactP += impactP/2.0;
-            item->impactN += impactN/2.0;
-        }
-        }
-    }
-    if ((replace == REPLACE_TT || replace == REPLACE_TE) &&
-        !Cudd_IsConstant(shared)) {
-        item = (GlobalQueueItem *) cuddLevelQueueEnqueue(queue,Cudd_Regular(shared),
-                     cuddI(dd,Cudd_Regular(shared)->index));
-        if (Cudd_IsComplement(shared)) {
-        if (replace == REPLACE_T) {
-            item->impactP += impactN;
-            item->impactN += impactP;
-        } else {
-            item->impactP += impactN/2.0;
-            item->impactN += impactP/2.0;
-        }
-        } else {
-        if (replace == REPLACE_T) {
-            item->impactP += impactP;
-            item->impactN += impactN;
-        } else {
-            item->impactP += impactP/2.0;
-            item->impactN += impactN/2.0;
-        }
-        }
-    }
-    }
-
-    cuddLevelQueueQuit(queue);
-    cuddLevelQueueQuit(localQueue);
-    return(1);
-
-} /* end of BAmarkNodes */
-
-
-/**Function********************************************************************
-
-  Synopsis [Builds the subset BDD for cuddRemapUnderApprox.]
-
-  Description [Builds the subset BDDfor cuddRemapUnderApprox.  Based
-  on the info table, performs remapping or replacement at selected
-  nodes. Returns a pointer to the result if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddRemapUnderApprox]
-
-******************************************************************************/
-static DdNode *
-RAbuildSubset(
-  DdManager * dd /* DD manager */,
-  DdNode * node /* current node */,
-  ApproxInfo * info /* node info */)
-{
-    DdNode *Nt, *Ne, *N, *t, *e, *r;
-    NodeData *infoN;
-
-    if (Cudd_IsConstant(node))
-    return(node);
-
-    N = Cudd_Regular(node);
-
-    Nt = Cudd_NotCond(cuddT(N), Cudd_IsComplement(node));
-    Ne = Cudd_NotCond(cuddE(N), Cudd_IsComplement(node));
-
-    if (st_lookup(info->table, (char *)N, (char **)&infoN)) {
-    if (N == node ) {
-        if (infoN->resultP != NULL) {
-        return(infoN->resultP);
-        }
-    } else {
-        if (infoN->resultN != NULL) {
-        return(infoN->resultN);
-        }
-    }
-    if (infoN->replace == REPLACE_T) {
-        r = RAbuildSubset(dd, Ne, info);
-        return(r);
-    } else if (infoN->replace == REPLACE_E) {
-        r = RAbuildSubset(dd, Nt, info);
-        return(r);
-    } else if (infoN->replace == REPLACE_N) {
-        return(info->zero);
-    } else if (infoN->replace == REPLACE_TT) {
-        DdNode *Ntt = Cudd_NotCond(cuddT(cuddT(N)),
-                       Cudd_IsComplement(node));
-        int index = cuddT(N)->index;
-        DdNode *e = info->zero;
-        DdNode *t = RAbuildSubset(dd, Ntt, info);
-        if (t == NULL) {
-        return(NULL);
-        }
-        cuddRef(t);
-        if (Cudd_IsComplement(t)) {
-        t = Cudd_Not(t);
-        e = Cudd_Not(e);
-        r = (t == e) ? t : cuddUniqueInter(dd, index, t, e);
-        if (r == NULL) {
-            Cudd_RecursiveDeref(dd, t);
-            return(NULL);
-        }
-        r = Cudd_Not(r);
-        } else {
-        r = (t == e) ? t : cuddUniqueInter(dd, index, t, e);
-        if (r == NULL) {
-            Cudd_RecursiveDeref(dd, t);
-            return(NULL);
-        }
-        }
-        cuddDeref(t);
-        return(r);
-    } else if (infoN->replace == REPLACE_TE) {
-        DdNode *Nte = Cudd_NotCond(cuddE(cuddT(N)),
-                       Cudd_IsComplement(node));
-        int index = cuddT(N)->index;
-        DdNode *t = info->one;
-        DdNode *e = RAbuildSubset(dd, Nte, info);
-        if (e == NULL) {
-        return(NULL);
-        }
-        cuddRef(e);
-        e = Cudd_Not(e);
-        r = (t == e) ? t : cuddUniqueInter(dd, index, t, e);
-        if (r == NULL) {
-        Cudd_RecursiveDeref(dd, e);
-        return(NULL);
-        }
-        r =Cudd_Not(r);
-        cuddDeref(e);
-        return(r);
-    }
-    } else {
-    (void) fprintf(dd->err,
-               "Something is wrong, ought to be in info table\n");
-    dd->errorCode = CUDD_INTERNAL_ERROR;
-    return(NULL);
-    }
-
-    t = RAbuildSubset(dd, Nt, info);
-    if (t == NULL) {
-    return(NULL);
-    }
-    cuddRef(t);
-
-    e = RAbuildSubset(dd, Ne, info);
-    if (e == NULL) {
-    Cudd_RecursiveDeref(dd,t);
-    return(NULL);
-    }
-    cuddRef(e);
-
-    if (Cudd_IsComplement(t)) {
-    t = Cudd_Not(t);
-    e = Cudd_Not(e);
-    r = (t == e) ? t : cuddUniqueInter(dd, N->index, t, e);
-    if (r == NULL) {
-        Cudd_RecursiveDeref(dd, e);
-        Cudd_RecursiveDeref(dd, t);
-        return(NULL);
-    }
-    r = Cudd_Not(r);
-    } else {
-    r = (t == e) ? t : cuddUniqueInter(dd, N->index, t, e);
-    if (r == NULL) {
-        Cudd_RecursiveDeref(dd, e);
-        Cudd_RecursiveDeref(dd, t);
-        return(NULL);
-    }
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-
-    if (N == node) {
-    infoN->resultP = r;
-    } else {
-    infoN->resultN = r;
-    }
-
-    return(r);
-
-} /* end of RAbuildSubset */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds don't care nodes.]
-
-  Description [Finds don't care nodes by traversing f and b in parallel.
-  Returns the care status of the visited f node if successful; CARE_ERROR
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddBiasedUnderApprox]
-
-******************************************************************************/
-static int
-BAapplyBias(
-  DdManager *dd,
-  DdNode *f,
-  DdNode *b,
-  ApproxInfo *info,
-  DdHashTable *cache)
-{
-    DdNode *one, *zero, *res;
-    DdNode *Ft, *Fe, *B, *Bt, *Be;
-    unsigned int topf, topb;
-    NodeData *infoF;
-    int careT, careE;
-
-    one = DD_ONE(dd);
-    zero = Cudd_Not(one);
-
-    if (!st_lookup(info->table, (char *) f, (char **)&infoF))
-    return(CARE_ERROR);
-    if (f == one) return(TOTAL_CARE);
-    if (b == zero) return(infoF->care);
-    if (infoF->care == TOTAL_CARE) return(TOTAL_CARE);
-
-    if ((f->ref != 1 || Cudd_Regular(b)->ref != 1) &&
-    (res = cuddHashTableLookup2(cache,f,b)) != NULL) {
-    if (res->ref == 0) {
-        cache->manager->dead++;
-        cache->manager->constants.dead++;
-    }
-    return(infoF->care);
-    }
-
-    topf = dd->perm[f->index];
-    B = Cudd_Regular(b);
-    topb = cuddI(dd,B->index);
-    if (topf <= topb) {
-    Ft = cuddT(f); Fe = cuddE(f);
-    } else {
-    Ft = Fe = f;
-    }
-    if (topb <= topf) {
-    /* We know that b is not constant because f is not. */
-    Bt = cuddT(B); Be = cuddE(B);
-    if (Cudd_IsComplement(b)) {
-        Bt = Cudd_Not(Bt);
-        Be = Cudd_Not(Be);
-    }
-    } else {
-    Bt = Be = b;
-    }
-
-    careT = BAapplyBias(dd, Ft, Bt, info, cache);
-    if (careT == CARE_ERROR)
-    return(CARE_ERROR);
-    careE = BAapplyBias(dd, Cudd_Regular(Fe), Be, info, cache);
-    if (careE == CARE_ERROR)
-    return(CARE_ERROR);
-    if (careT == TOTAL_CARE && careE == TOTAL_CARE) {
-    infoF->care = TOTAL_CARE;
-    } else {
-    infoF->care = CARE;
-    }
-
-    if (f->ref != 1 || Cudd_Regular(b)->ref != 1) {
-    ptrint fanout = (ptrint) f->ref * Cudd_Regular(b)->ref;
-    cuddSatDec(fanout);
-    if (!cuddHashTableInsert2(cache,f,b,one,fanout)) {
-        return(CARE_ERROR);
-    }
-    }
-    return(infoF->care);
-
-} /* end of BAapplyBias */
diff --git a/src/bdd/cudd/cuddBddAbs.c b/src/bdd/cudd/cuddBddAbs.c
deleted file mode 100644
index 9552464e..00000000
--- a/src/bdd/cudd/cuddBddAbs.c
+++ /dev/null
@@ -1,689 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddBddAbs.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Quantification functions for BDDs.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_bddExistAbstract()
-        <li> Cudd_bddXorExistAbstract()
-        <li> Cudd_bddUnivAbstract()
-        <li> Cudd_bddBooleanDiff()
-        <li> Cudd_bddVarIsDependent()
-        </ul>
-    Internal procedures included in this module:
-        <ul>
-        <li> cuddBddExistAbstractRecur()
-        <li> cuddBddXorExistAbstractRecur()
-        <li> cuddBddBooleanDiffRecur()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> bddCheckPositiveCube()
-        </ul>
-        ]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddBddAbs.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int bddCheckPositiveCube ARGS((DdManager *manager, DdNode *cube));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Existentially abstracts all the variables in cube from f.]
-
-  Description [Existentially abstracts all the variables in cube from f.
-  Returns the abstracted BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddUnivAbstract Cudd_addExistAbstract]
-
-******************************************************************************/
-DdNode *
-Cudd_bddExistAbstract(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * cube)
-{
-    DdNode *res;
-
-    if (bddCheckPositiveCube(manager, cube) == 0) {
-        (void) fprintf(manager->err,
-               "Error: Can only abstract positive cubes\n");
-    manager->errorCode = CUDD_INVALID_ARG;
-        return(NULL);
-    }
-
-    do {
-    manager->reordered = 0;
-    res = cuddBddExistAbstractRecur(manager, f, cube);
-    } while (manager->reordered == 1);
-
-    return(res);
-
-} /* end of Cudd_bddExistAbstract */
-
-
-/**Function********************************************************************
-
-  Synopsis [Takes the exclusive OR of two BDDs and simultaneously abstracts the
-  variables in cube.]
-
-  Description [Takes the exclusive OR of two BDDs and simultaneously abstracts
-  the variables in cube. The variables are existentially abstracted.  Returns a
-  pointer to the result is successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddUnivAbstract Cudd_bddExistAbstract Cudd_bddAndAbstract]
-
-******************************************************************************/
-DdNode *
-Cudd_bddXorExistAbstract(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * g,
-  DdNode * cube)
-{
-    DdNode *res;
-
-    if (bddCheckPositiveCube(manager, cube) == 0) {
-        (void) fprintf(manager->err,
-               "Error: Can only abstract positive cubes\n");
-    manager->errorCode = CUDD_INVALID_ARG;
-        return(NULL);
-    }
-
-    do {
-    manager->reordered = 0;
-    res = cuddBddXorExistAbstractRecur(manager, f, g, cube);
-    } while (manager->reordered == 1);
-
-    return(res);
-
-} /* end of Cudd_bddXorExistAbstract */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Universally abstracts all the variables in cube from f.]
-
-  Description [Universally abstracts all the variables in cube from f.
-  Returns the abstracted BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddExistAbstract Cudd_addUnivAbstract]
-
-******************************************************************************/
-DdNode *
-Cudd_bddUnivAbstract(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * cube)
-{
-    DdNode    *res;
-
-    if (bddCheckPositiveCube(manager, cube) == 0) {
-    (void) fprintf(manager->err,
-               "Error: Can only abstract positive cubes\n");
-    manager->errorCode = CUDD_INVALID_ARG;
-    return(NULL);
-    }
-
-    do {
-    manager->reordered = 0;
-    res = cuddBddExistAbstractRecur(manager, Cudd_Not(f), cube);
-    } while (manager->reordered == 1);
-    if (res != NULL) res = Cudd_Not(res);
-
-    return(res);
-
-} /* end of Cudd_bddUnivAbstract */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the boolean difference of f with respect to x.]
-
-  Description [Computes the boolean difference of f with respect to the
-  variable with index x.  Returns the BDD of the boolean difference if
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-Cudd_bddBooleanDiff(
-  DdManager * manager,
-  DdNode * f,
-  int  x)
-{
-    DdNode *res, *var;
-
-    /* If the variable is not currently in the manager, f cannot
-    ** depend on it.
-    */
-    if (x >= manager->size) return(Cudd_Not(DD_ONE(manager)));
-    var = manager->vars[x];
-
-    do {
-    manager->reordered = 0;
-    res = cuddBddBooleanDiffRecur(manager, Cudd_Regular(f), var);
-    } while (manager->reordered == 1);
-
-    return(res);
-
-} /* end of Cudd_bddBooleanDiff */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks whether a variable is dependent on others in a
-  function.]
-
-  Description [Checks whether a variable is dependent on others in a
-  function.  Returns 1 if the variable is dependent; 0 otherwise. No
-  new nodes are created.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-Cudd_bddVarIsDependent(
-  DdManager *dd,        /* manager */
-  DdNode *f,            /* function */
-  DdNode *var            /* variable */)
-{
-    DdNode *F, *res, *zero, *ft, *fe;
-    unsigned topf, level;
-    DdNode *(*cacheOp)(DdManager *, DdNode *, DdNode *);
-    int retval;
-
-    zero = Cudd_Not(DD_ONE(dd));
-    if (Cudd_IsConstant(f)) return(f == zero);
-
-    /* From now on f is not constant. */
-    F = Cudd_Regular(f);
-    topf = (unsigned) dd->perm[F->index];
-    level = (unsigned) dd->perm[var->index];
-
-    /* Check terminal case. If topf > index of var, f does not depend on var.
-    ** Therefore, var is not dependent in f. */
-    if (topf > level) {
-    return(0);
-    }
-
-    cacheOp =
-    (DdNode *(*)(DdManager *, DdNode *, DdNode *)) Cudd_bddVarIsDependent;
-    res = cuddCacheLookup2(dd,cacheOp,f,var);
-    if (res != NULL) {
-    return(res != zero);
-    }
-
-    /* Compute cofactors. */
-    ft = Cudd_NotCond(cuddT(F), f != F);
-    fe = Cudd_NotCond(cuddE(F), f != F);
-
-    if (topf == level) {
-    retval = Cudd_bddLeq(dd,ft,Cudd_Not(fe));
-    } else {
-    retval = Cudd_bddVarIsDependent(dd,ft,var) &&
-        Cudd_bddVarIsDependent(dd,fe,var);
-    }
-
-    cuddCacheInsert2(dd,cacheOp,f,var,Cudd_NotCond(zero,retval));
-
-    return(retval);
-
-} /* Cudd_bddVarIsDependent */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive steps of Cudd_bddExistAbstract.]
-
-  Description [Performs the recursive steps of Cudd_bddExistAbstract.
-  Returns the BDD obtained by abstracting the variables
-  of cube from f if successful; NULL otherwise. It is also used by
-  Cudd_bddUnivAbstract.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddExistAbstract Cudd_bddUnivAbstract]
-
-******************************************************************************/
-DdNode *
-cuddBddExistAbstractRecur(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * cube)
-{
-    DdNode    *F, *T, *E, *res, *res1, *res2, *one;
-
-    statLine(manager);
-    one = DD_ONE(manager);
-    F = Cudd_Regular(f);
-
-    /* Cube is guaranteed to be a cube at this point. */    
-    if (cube == one || F == one) {  
-        return(f);
-    }
-    /* From now on, f and cube are non-constant. */
-
-    /* Abstract a variable that does not appear in f. */
-    while (manager->perm[F->index] > manager->perm[cube->index]) {
-    cube = cuddT(cube);
-    if (cube == one) return(f);
-    }
-
-    /* Check the cache. */
-    if (F->ref != 1 && (res = cuddCacheLookup2(manager, Cudd_bddExistAbstract, f, cube)) != NULL) {
-    return(res);
-    }
-
-    /* Compute the cofactors of f. */
-    T = cuddT(F); E = cuddE(F);
-    if (f != F) {
-    T = Cudd_Not(T); E = Cudd_Not(E);
-    }
-
-    /* If the two indices are the same, so are their levels. */
-    if (F->index == cube->index) {
-    if (T == one || E == one || T == Cudd_Not(E)) {
-        return(one);
-    }
-    res1 = cuddBddExistAbstractRecur(manager, T, cuddT(cube));
-    if (res1 == NULL) return(NULL);
-    if (res1 == one) {
-        if (F->ref != 1)
-        cuddCacheInsert2(manager, Cudd_bddExistAbstract, f, cube, one);
-        return(one);
-    }
-        cuddRef(res1);
-    res2 = cuddBddExistAbstractRecur(manager, E, cuddT(cube));
-    if (res2 == NULL) {
-        Cudd_IterDerefBdd(manager,res1);
-        return(NULL);
-    }
-        cuddRef(res2);
-    res = cuddBddAndRecur(manager, Cudd_Not(res1), Cudd_Not(res2));
-    if (res == NULL) {
-        Cudd_IterDerefBdd(manager, res1);
-        Cudd_IterDerefBdd(manager, res2);
-        return(NULL);
-    }
-    res = Cudd_Not(res);
-    cuddRef(res);
-    Cudd_IterDerefBdd(manager, res1);
-    Cudd_IterDerefBdd(manager, res2);
-    if (F->ref != 1)
-        cuddCacheInsert2(manager, Cudd_bddExistAbstract, f, cube, res);
-    cuddDeref(res);
-        return(res);
-    } else { /* if (cuddI(manager,F->index) < cuddI(manager,cube->index)) */
-    res1 = cuddBddExistAbstractRecur(manager, T, cube);
-    if (res1 == NULL) return(NULL);
-        cuddRef(res1);
-    res2 = cuddBddExistAbstractRecur(manager, E, cube);
-    if (res2 == NULL) {
-        Cudd_IterDerefBdd(manager, res1);
-        return(NULL);
-    }
-        cuddRef(res2);
-    /* ITE takes care of possible complementation of res1 and of the
-        ** case in which res1 == res2. */
-    res = cuddBddIteRecur(manager, manager->vars[F->index], res1, res2);
-    if (res == NULL) {
-        Cudd_IterDerefBdd(manager, res1);
-        Cudd_IterDerefBdd(manager, res2);
-        return(NULL);
-    }
-    cuddDeref(res1);
-    cuddDeref(res2);
-    if (F->ref != 1)
-        cuddCacheInsert2(manager, Cudd_bddExistAbstract, f, cube, res);
-        return(res);
-    }        
-
-} /* end of cuddBddExistAbstractRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis [Takes the exclusive OR of two BDDs and simultaneously abstracts the
-  variables in cube.]
-
-  Description [Takes the exclusive OR of two BDDs and simultaneously abstracts
-  the variables in cube. The variables are existentially abstracted.  Returns a
-  pointer to the result is successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddAndAbstract]
-
-******************************************************************************/
-DdNode *
-cuddBddXorExistAbstractRecur(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * g,
-  DdNode * cube)
-{
-    DdNode *F, *fv, *fnv, *G, *gv, *gnv;
-    DdNode *one, *zero, *r, *t, *e, *Cube;
-    unsigned int topf, topg, topcube, top, index;
-
-    statLine(manager);
-    one = DD_ONE(manager);
-    zero = Cudd_Not(one);
-
-    /* Terminal cases. */
-    if (f == g) {
-    return(zero);
-    }
-    if (f == Cudd_Not(g)) {
-    return(one);
-    }
-    if (cube == one) {
-    return(cuddBddXorRecur(manager, f, g));
-    }
-    if (f == one) {
-    return(cuddBddExistAbstractRecur(manager, Cudd_Not(g), cube));
-    }
-    if (g == one) {
-    return(cuddBddExistAbstractRecur(manager, Cudd_Not(f), cube));
-    }
-    if (f == zero) {
-    return(cuddBddExistAbstractRecur(manager, g, cube));
-    }
-    if (g == zero) {
-    return(cuddBddExistAbstractRecur(manager, f, cube));
-    }
-
-    /* At this point f, g, and cube are not constant. */
-
-    if (f > g) { /* Try to increase cache efficiency. */
-    DdNode *tmp = f;
-    f = g;
-    g = tmp;
-    }
-
-    /* Check cache. */
-    r = cuddCacheLookup(manager, DD_BDD_XOR_EXIST_ABSTRACT_TAG, f, g, cube);
-    if (r != NULL) {
-    return(r);
-    }
-
-    /* Here we can skip the use of cuddI, because the operands are known
-    ** to be non-constant.
-    */
-    F = Cudd_Regular(f);
-    topf = manager->perm[F->index];
-    G = Cudd_Regular(g);
-    topg = manager->perm[G->index];
-    top = ddMin(topf, topg);
-    topcube = manager->perm[cube->index];
-
-    if (topcube < top) {
-    return(cuddBddXorExistAbstractRecur(manager, f, g, cuddT(cube)));
-    }
-    /* Now, topcube >= top. */
-
-    if (topf == top) {
-    index = F->index;
-    fv = cuddT(F);
-    fnv = cuddE(F);
-    if (Cudd_IsComplement(f)) {
-        fv = Cudd_Not(fv);
-        fnv = Cudd_Not(fnv);
-    }
-    } else {
-    index = G->index;
-    fv = fnv = f;
-    }
-
-    if (topg == top) {
-    gv = cuddT(G);
-    gnv = cuddE(G);
-    if (Cudd_IsComplement(g)) {
-        gv = Cudd_Not(gv);
-        gnv = Cudd_Not(gnv);
-    }
-    } else {
-    gv = gnv = g;
-    }
-
-    if (topcube == top) {
-    Cube = cuddT(cube);
-    } else {
-    Cube = cube;
-    }
-
-    t = cuddBddXorExistAbstractRecur(manager, fv, gv, Cube);
-    if (t == NULL) return(NULL);
-
-    /* Special case: 1 OR anything = 1. Hence, no need to compute
-    ** the else branch if t is 1.
-    */
-    if (t == one && topcube == top) {
-    cuddCacheInsert(manager, DD_BDD_XOR_EXIST_ABSTRACT_TAG, f, g, cube, one);
-    return(one);
-    }
-    cuddRef(t);
-
-    e = cuddBddXorExistAbstractRecur(manager, fnv, gnv, Cube);
-    if (e == NULL) {
-    Cudd_IterDerefBdd(manager, t);
-    return(NULL);
-    }
-    cuddRef(e);
-
-    if (topcube == top) {    /* abstract */
-    r = cuddBddAndRecur(manager, Cudd_Not(t), Cudd_Not(e));
-    if (r == NULL) {
-        Cudd_IterDerefBdd(manager, t);
-        Cudd_IterDerefBdd(manager, e);
-        return(NULL);
-    }
-    r = Cudd_Not(r);
-    cuddRef(r);
-    Cudd_IterDerefBdd(manager, t);
-    Cudd_IterDerefBdd(manager, e);
-    cuddDeref(r);
-    } else if (t == e) {
-    r = t;
-    cuddDeref(t);
-    cuddDeref(e);
-    } else {
-    if (Cudd_IsComplement(t)) {
-        r = cuddUniqueInter(manager,(int)index,Cudd_Not(t),Cudd_Not(e));
-        if (r == NULL) {
-        Cudd_IterDerefBdd(manager, t);
-        Cudd_IterDerefBdd(manager, e);
-        return(NULL);
-        }
-        r = Cudd_Not(r);
-    } else {
-        r = cuddUniqueInter(manager,(int)index,t,e);
-        if (r == NULL) {
-        Cudd_IterDerefBdd(manager, t);
-        Cudd_IterDerefBdd(manager, e);
-        return(NULL);
-        }
-    }
-    cuddDeref(e);
-    cuddDeref(t);
-    }
-    cuddCacheInsert(manager, DD_BDD_XOR_EXIST_ABSTRACT_TAG, f, g, cube, r);
-    return (r);
-
-} /* end of cuddBddXorExistAbstractRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive steps of Cudd_bddBoleanDiff.]
-
-  Description [Performs the recursive steps of Cudd_bddBoleanDiff.
-  Returns the BDD obtained by XORing the cofactors of f with respect to
-  var if successful; NULL otherwise. Exploits the fact that dF/dx =
-  dF'/dx.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-cuddBddBooleanDiffRecur(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * var)
-{
-    DdNode *T, *E, *res, *res1, *res2;
-
-    statLine(manager);
-    if (cuddI(manager,f->index) > manager->perm[var->index]) {
-    /* f does not depend on var. */
-    return(Cudd_Not(DD_ONE(manager)));
-    }
-
-    /* From now on, f is non-constant. */
-
-    /* If the two indices are the same, so are their levels. */
-    if (f->index == var->index) {
-    res = cuddBddXorRecur(manager, cuddT(f), cuddE(f));
-        return(res);
-    }
-
-    /* From now on, cuddI(manager,f->index) < cuddI(manager,cube->index). */
-
-    /* Check the cache. */
-    res = cuddCacheLookup2(manager, cuddBddBooleanDiffRecur, f, var);
-    if (res != NULL) {
-    return(res);
-    }
-
-    /* Compute the cofactors of f. */
-    T = cuddT(f); E = cuddE(f);
-
-    res1 = cuddBddBooleanDiffRecur(manager, T, var);
-    if (res1 == NULL) return(NULL);
-    cuddRef(res1);
-    res2 = cuddBddBooleanDiffRecur(manager, Cudd_Regular(E), var);
-    if (res2 == NULL) {
-    Cudd_IterDerefBdd(manager, res1);
-    return(NULL);
-    }
-    cuddRef(res2);
-    /* ITE takes care of possible complementation of res1 and of the
-    ** case in which res1 == res2. */
-    res = cuddBddIteRecur(manager, manager->vars[f->index], res1, res2);
-    if (res == NULL) {
-    Cudd_IterDerefBdd(manager, res1);
-    Cudd_IterDerefBdd(manager, res2);
-    return(NULL);
-    }
-    cuddDeref(res1);
-    cuddDeref(res2);
-    cuddCacheInsert2(manager, cuddBddBooleanDiffRecur, f, var, res);
-    return(res);
-
-} /* end of cuddBddBooleanDiffRecur */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis [Checks whether cube is an BDD representing the product of
-  positive literals.]
-
-  Description [Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-bddCheckPositiveCube(
-  DdManager * manager,
-  DdNode * cube)
-{
-    if (Cudd_IsComplement(cube)) return(0);
-    if (cube == DD_ONE(manager)) return(1);
-    if (cuddIsConstant(cube)) return(0);
-    if (cuddE(cube) == Cudd_Not(DD_ONE(manager))) {
-        return(bddCheckPositiveCube(manager, cuddT(cube)));
-    }
-    return(0);
-
-} /* end of bddCheckPositiveCube */
-
diff --git a/src/bdd/cudd/cuddBddCorr.c b/src/bdd/cudd/cuddBddCorr.c
deleted file mode 100644
index c99324a8..00000000
--- a/src/bdd/cudd/cuddBddCorr.c
+++ /dev/null
@@ -1,481 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddBddCorr.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Correlation between BDDs.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_bddCorrelation()
-        <li> Cudd_bddCorrelationWeights()
-        </ul>
-        Static procedures included in this module:
-        <ul>
-        <li> bddCorrelationAux()
-        <li> bddCorrelationWeightsAux()
-        <li> CorrelCompare()
-        <li> CorrelHash()
-        <li> CorrelCleanUp()
-        </ul>
-        ]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-typedef struct hashEntry {
-    DdNode *f;
-    DdNode *g;
-} HashEntry;
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddBddCorr.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $";
-#endif
-
-#ifdef CORREL_STATS
-static    int    num_calls;
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static double bddCorrelationAux ARGS((DdManager *dd, DdNode *f, DdNode *g, st_table *table));
-static double bddCorrelationWeightsAux ARGS((DdManager *dd, DdNode *f, DdNode *g, double *prob, st_table *table));
-static int CorrelCompare ARGS((const char *key1, const char *key2));
-static int CorrelHash ARGS((char *key, int modulus));
-static enum st_retval CorrelCleanUp ARGS((char *key, char *value, char *arg));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the correlation of f and g.]
-
-  Description [Computes the correlation of f and g. If f == g, their
-  correlation is 1. If f == g', their correlation is 0.  Returns the
-  fraction of minterms in the ON-set of the EXNOR of f and g.  If it
-  runs out of memory, returns (double)CUDD_OUT_OF_MEM.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddCorrelationWeights]
-
-******************************************************************************/
-double
-Cudd_bddCorrelation(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * g)
-{
-
-    st_table    *table;
-    double    correlation;
-
-#ifdef CORREL_STATS
-    num_calls = 0;
-#endif
-
-    table = st_init_table(CorrelCompare,CorrelHash);
-    if (table == NULL) return((double)CUDD_OUT_OF_MEM);
-    correlation = bddCorrelationAux(manager,f,g,table);
-    st_foreach(table, CorrelCleanUp, NIL(char));
-    st_free_table(table);
-    return(correlation);
-
-} /* end of Cudd_bddCorrelation */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the correlation of f and g for given input
-  probabilities.]
-
-  Description [Computes the correlation of f and g for given input
-  probabilities. On input, prob\[i\] is supposed to contain the
-  probability of the i-th input variable to be 1.
-  If f == g, their correlation is 1. If f == g', their
-  correlation is 0.  Returns the probability that f and g have the same
-  value. If it runs out of memory, returns (double)CUDD_OUT_OF_MEM. The
-  correlation of f and the constant one gives the probability of f.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddCorrelation]
-
-******************************************************************************/
-double
-Cudd_bddCorrelationWeights(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * g,
-  double * prob)
-{
-
-    st_table    *table;
-    double    correlation;
-
-#ifdef CORREL_STATS
-    num_calls = 0;
-#endif
-
-    table = st_init_table(CorrelCompare,CorrelHash);
-    if (table == NULL) return((double)CUDD_OUT_OF_MEM);
-    correlation = bddCorrelationWeightsAux(manager,f,g,prob,table);
-    st_foreach(table, CorrelCleanUp, NIL(char));
-    st_free_table(table);
-    return(correlation);
-
-} /* end of Cudd_bddCorrelationWeights */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_bddCorrelation.]
-
-  Description [Performs the recursive step of Cudd_bddCorrelation.
-  Returns the fraction of minterms in the ON-set of the EXNOR of f and
-  g.]
-
-  SideEffects [None]
-
-  SeeAlso     [bddCorrelationWeightsAux]
-
-******************************************************************************/
-static double
-bddCorrelationAux(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g,
-  st_table * table)
-{
-    DdNode    *Fv, *Fnv, *G, *Gv, *Gnv;
-    double    min, *pmin, min1, min2, *dummy;
-    HashEntry    *entry;
-    unsigned int topF, topG;
-
-    statLine(dd);
-#ifdef CORREL_STATS
-    num_calls++;
-#endif
-
-    /* Terminal cases: only work for BDDs. */
-    if (f == g) return(1.0);
-    if (f == Cudd_Not(g)) return(0.0);
-
-    /* Standardize call using the following properties:
-    **     (f EXNOR g)   = (g EXNOR f)
-    **     (f' EXNOR g') = (f EXNOR g).
-    */
-    if (f > g) {
-    DdNode *tmp = f;
-    f = g; g = tmp;
-    }
-    if (Cudd_IsComplement(f)) {
-    f = Cudd_Not(f);
-    g = Cudd_Not(g);
-    }
-    /* From now on, f is regular. */
-    
-    entry = ALLOC(HashEntry,1);
-    if (entry == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(CUDD_OUT_OF_MEM);
-    }
-    entry->f = f; entry->g = g;
-
-    /* We do not use the fact that
-    ** correlation(f,g') = 1 - correlation(f,g)
-    ** to minimize the risk of cancellation.
-    */
-    if (st_lookup(table, (char *)entry, (char **)&dummy)) {
-    min = *dummy;
-    FREE(entry);
-    return(min);
-    }
-
-    G = Cudd_Regular(g);
-    topF = cuddI(dd,f->index); topG = cuddI(dd,G->index);
-    if (topF <= topG) { Fv = cuddT(f); Fnv = cuddE(f); } else { Fv = Fnv = f; }
-    if (topG <= topF) { Gv = cuddT(G); Gnv = cuddE(G); } else { Gv = Gnv = G; }
-
-    if (g != G) {
-    Gv = Cudd_Not(Gv);
-    Gnv = Cudd_Not(Gnv);
-    }
-
-    min1 = bddCorrelationAux(dd, Fv, Gv, table) / 2.0;
-    if (min1 == (double)CUDD_OUT_OF_MEM) {
-    FREE(entry);
-    return(CUDD_OUT_OF_MEM);
-    }
-    min2 = bddCorrelationAux(dd, Fnv, Gnv, table) / 2.0; 
-    if (min2 == (double)CUDD_OUT_OF_MEM) {
-    FREE(entry);
-    return(CUDD_OUT_OF_MEM);
-    }
-    min = (min1+min2);
-    
-    pmin = ALLOC(double,1);
-    if (pmin == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return((double)CUDD_OUT_OF_MEM);
-    }
-    *pmin = min;
-
-    if (st_insert(table,(char *)entry, (char *)pmin) == ST_OUT_OF_MEM) {
-    FREE(entry);
-    FREE(pmin);
-    return((double)CUDD_OUT_OF_MEM);
-    }
-    return(min);
-
-} /* end of bddCorrelationAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_bddCorrelationWeigths.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [bddCorrelationAux]
-
-******************************************************************************/
-static double
-bddCorrelationWeightsAux(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g,
-  double * prob,
-  st_table * table)
-{
-    DdNode    *Fv, *Fnv, *G, *Gv, *Gnv;
-    double    min, *pmin, min1, min2, *dummy;
-    HashEntry    *entry;
-    int        topF, topG, index;
-
-    statLine(dd);
-#ifdef CORREL_STATS
-    num_calls++;
-#endif
-
-    /* Terminal cases: only work for BDDs. */
-    if (f == g) return(1.0);
-    if (f == Cudd_Not(g)) return(0.0);
-
-    /* Standardize call using the following properties:
-    **     (f EXNOR g)   = (g EXNOR f)
-    **     (f' EXNOR g') = (f EXNOR g).
-    */
-    if (f > g) {
-    DdNode *tmp = f;
-    f = g; g = tmp;
-    }
-    if (Cudd_IsComplement(f)) {
-    f = Cudd_Not(f);
-    g = Cudd_Not(g);
-    }
-    /* From now on, f is regular. */
-    
-    entry = ALLOC(HashEntry,1);
-    if (entry == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return((double)CUDD_OUT_OF_MEM);
-    }
-    entry->f = f; entry->g = g;
-
-    /* We do not use the fact that
-    ** correlation(f,g') = 1 - correlation(f,g)
-    ** to minimize the risk of cancellation.
-    */
-    if (st_lookup(table, (char *)entry, (char **)&dummy)) {
-    min = *dummy;
-    FREE(entry);
-    return(min);
-    }
-
-    G = Cudd_Regular(g);
-    topF = cuddI(dd,f->index); topG = cuddI(dd,G->index);
-    if (topF <= topG) {
-    Fv = cuddT(f); Fnv = cuddE(f);
-    index = f->index;
-    } else {
-    Fv = Fnv = f;
-    index = G->index;
-    }
-    if (topG <= topF) { Gv = cuddT(G); Gnv = cuddE(G); } else { Gv = Gnv = G; }
-
-    if (g != G) {
-    Gv = Cudd_Not(Gv);
-    Gnv = Cudd_Not(Gnv);
-    }
-
-    min1 = bddCorrelationWeightsAux(dd, Fv, Gv, prob, table) * prob[index];
-    if (min1 == (double)CUDD_OUT_OF_MEM) {
-    FREE(entry);
-    return((double)CUDD_OUT_OF_MEM);
-    }
-    min2 = bddCorrelationWeightsAux(dd, Fnv, Gnv, prob, table) * (1.0 - prob[index]); 
-    if (min2 == (double)CUDD_OUT_OF_MEM) {
-    FREE(entry);
-    return((double)CUDD_OUT_OF_MEM);
-    }
-    min = (min1+min2);
-    
-    pmin = ALLOC(double,1);
-    if (pmin == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return((double)CUDD_OUT_OF_MEM);
-    }
-    *pmin = min;
-
-    if (st_insert(table,(char *)entry, (char *)pmin) == ST_OUT_OF_MEM) {
-    FREE(entry);
-    FREE(pmin);
-    return((double)CUDD_OUT_OF_MEM);
-    }
-    return(min);
-
-} /* end of bddCorrelationWeightsAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Compares two hash table entries.]
-
-  Description [Compares two hash table entries. Returns 0 if they are
-  identical; 1 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-CorrelCompare(
-  const char * key1,
-  const char * key2)
-{
-    HashEntry *entry1;
-    HashEntry *entry2;
-
-    entry1 = (HashEntry *) key1;
-    entry2 = (HashEntry *) key2;
-    if (entry1->f != entry2->f || entry1->g != entry2->g) return(1);
-
-    return(0);
-
-} /* end of CorrelCompare */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Hashes a hash table entry.]
-
-  Description [Hashes a hash table entry. It is patterned after
-  st_strhash. Returns a value between 0 and modulus.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-CorrelHash(
-  char * key,
-  int  modulus)
-{
-    HashEntry *entry;
-    int val = 0;
-
-    entry = (HashEntry *) key;
-#if SIZEOF_VOID_P == 8 && SIZEOF_INT == 4
-    val = ((int) ((long)entry->f))*997 + ((int) ((long)entry->g));
-#else
-    val = ((int) entry->f)*997 + ((int) entry->g);
-#endif
-
-    return ((val < 0) ? -val : val) % modulus;
-
-} /* end of CorrelHash */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Frees memory associated with hash table.]
-
-  Description [Frees memory associated with hash table. Returns
-  ST_CONTINUE.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static enum st_retval
-CorrelCleanUp(
-  char * key,
-  char * value,
-  char * arg)
-{
-    double    *d;
-    HashEntry *entry;
-
-    entry = (HashEntry *) key;
-    FREE(entry);
-    d = (double *)value;
-    FREE(d);
-    return ST_CONTINUE;
-
-} /* end of CorrelCleanUp */
-
diff --git a/src/bdd/cudd/cuddBddIte.c b/src/bdd/cudd/cuddBddIte.c
deleted file mode 100644
index b44e40de..00000000
--- a/src/bdd/cudd/cuddBddIte.c
+++ /dev/null
@@ -1,1254 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddBddIte.c]
-
-  PackageName [cudd]
-
-  Synopsis    [BDD ITE function and satellites.]
-
-  Description [External procedures included in this module:
-        <ul>
-                <li> Cudd_bddIte()
-                   <li> Cudd_bddIteConstant()
-        <li> Cudd_bddIntersect()
-        <li> Cudd_bddAnd()
-        <li> Cudd_bddOr()
-        <li> Cudd_bddNand()
-        <li> Cudd_bddNor()
-        <li> Cudd_bddXor()
-        <li> Cudd_bddXnor()
-        <li> Cudd_bddLeq()
-        </ul>
-       Internal procedures included in this module:
-        <ul>
-        <li> cuddBddIteRecur()
-        <li> cuddBddIntersectRecur()
-        <li> cuddBddAndRecur()
-        <li> cuddBddXorRecur()
-        </ul>
-       Static procedures included in this module:
-        <ul>
-                   <li> bddVarToConst()
-                   <li> bddVarToCanonical()
-                   <li> bddVarToCanonicalSimple()
-        </ul>]
-
-  SeeAlso     []
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddBddIte.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static void bddVarToConst ARGS((DdNode *f, DdNode **gp, DdNode **hp, DdNode *one));
-static int bddVarToCanonical ARGS((DdManager *dd, DdNode **fp, DdNode **gp, DdNode **hp, unsigned int *topfp, unsigned int *topgp, unsigned int *tophp));
-static int bddVarToCanonicalSimple ARGS((DdManager *dd, DdNode **fp, DdNode **gp, DdNode **hp, unsigned int *topfp, unsigned int *topgp, unsigned int *tophp));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implements ITE(f,g,h).]
-
-  Description [Implements ITE(f,g,h). Returns a pointer to the
-  resulting BDD if successful; NULL if the intermediate result blows
-  up.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addIte Cudd_bddIteConstant Cudd_bddIntersect]
-
-******************************************************************************/
-DdNode *
-Cudd_bddIte(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g,
-  DdNode * h)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddBddIteRecur(dd,f,g,h);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_bddIte */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implements ITEconstant(f,g,h).]
-
-  Description [Implements ITEconstant(f,g,h). Returns a pointer to the
-  resulting BDD (which may or may not be constant) or DD_NON_CONSTANT.
-  No new nodes are created.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddIte Cudd_bddIntersect Cudd_bddLeq Cudd_addIteConstant]
-
-******************************************************************************/
-DdNode *
-Cudd_bddIteConstant(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g,
-  DdNode * h)
-{
-    DdNode     *r, *Fv, *Fnv, *Gv, *Gnv, *H, *Hv, *Hnv, *t, *e;
-    DdNode     *one = DD_ONE(dd);
-    DdNode     *zero = Cudd_Not(one);
-    int         comple;
-    unsigned int topf, topg, toph, v;
-
-    statLine(dd);
-    /* Trivial cases. */
-    if (f == one)             /* ITE(1,G,H) => G */
-    return(g);
-    
-    if (f == zero)            /* ITE(0,G,H) => H */
-    return(h);
-    
-    /* f now not a constant. */
-    bddVarToConst(f, &g, &h, one);    /* possibly convert g or h */
-                    /* to constants */
-
-    if (g == h)             /* ITE(F,G,G) => G */
-    return(g);
-
-    if (Cudd_IsConstant(g) && Cudd_IsConstant(h)) 
-    return(DD_NON_CONSTANT);    /* ITE(F,1,0) or ITE(F,0,1) */
-                    /* => DD_NON_CONSTANT */
-    
-    if (g == Cudd_Not(h))
-    return(DD_NON_CONSTANT);    /* ITE(F,G,G') => DD_NON_CONSTANT */
-                    /* if F != G and F != G' */
-    
-    comple = bddVarToCanonical(dd, &f, &g, &h, &topf, &topg, &toph);
-
-    /* Cache lookup. */
-    r = cuddConstantLookup(dd, DD_BDD_ITE_CONSTANT_TAG, f, g, h);
-    if (r != NULL) {
-    return(Cudd_NotCond(r,comple && r != DD_NON_CONSTANT));
-    }
-
-    v = ddMin(topg, toph);
-
-    /* ITE(F,G,H) = (v,G,H) (non constant) if F = (v,1,0), v < top(G,H). */
-    if (topf < v && cuddT(f) == one && cuddE(f) == zero) {
-    return(DD_NON_CONSTANT);
-    }
-
-    /* Compute cofactors. */
-    if (topf <= v) {
-    v = ddMin(topf, v);        /* v = top_var(F,G,H) */
-    Fv = cuddT(f); Fnv = cuddE(f);
-    } else {
-    Fv = Fnv = f;
-    }
-
-    if (topg == v) {
-    Gv = cuddT(g); Gnv = cuddE(g);
-    } else {
-    Gv = Gnv = g;
-    }
-
-    if (toph == v) {
-    H = Cudd_Regular(h);
-    Hv = cuddT(H); Hnv = cuddE(H);
-    if (Cudd_IsComplement(h)) {
-        Hv = Cudd_Not(Hv);
-        Hnv = Cudd_Not(Hnv);
-    }
-    } else {
-    Hv = Hnv = h;
-    }
-
-    /* Recursion. */
-    t = Cudd_bddIteConstant(dd, Fv, Gv, Hv);
-    if (t == DD_NON_CONSTANT || !Cudd_IsConstant(t)) {
-    cuddCacheInsert(dd, DD_BDD_ITE_CONSTANT_TAG, f, g, h, DD_NON_CONSTANT);
-    return(DD_NON_CONSTANT);
-    }
-    e = Cudd_bddIteConstant(dd, Fnv, Gnv, Hnv);
-    if (e == DD_NON_CONSTANT || !Cudd_IsConstant(e) || t != e) {
-    cuddCacheInsert(dd, DD_BDD_ITE_CONSTANT_TAG, f, g, h, DD_NON_CONSTANT);
-    return(DD_NON_CONSTANT);
-    }
-    cuddCacheInsert(dd, DD_BDD_ITE_CONSTANT_TAG, f, g, h, t);
-    return(Cudd_NotCond(t,comple));
-
-} /* end of Cudd_bddIteConstant */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns a function included in the intersection of f and g.]
-
-  Description [Computes a function included in the intersection of f and
-  g. (That is, a witness that the intersection is not empty.)
-  Cudd_bddIntersect tries to build as few new nodes as possible. If the
-  only result of interest is whether f and g intersect,
-  Cudd_bddLeq should be used instead.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddLeq Cudd_bddIteConstant]
-
-******************************************************************************/
-DdNode *
-Cudd_bddIntersect(
-  DdManager * dd /* manager */,
-  DdNode * f /* first operand */,
-  DdNode * g /* second operand */)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddBddIntersectRecur(dd,f,g);
-    } while (dd->reordered == 1);
-
-    return(res);
-
-} /* end of Cudd_bddIntersect */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the conjunction of two BDDs f and g.]
-
-  Description [Computes the conjunction of two BDDs f and g. Returns a
-  pointer to the resulting BDD if successful; NULL if the intermediate
-  result blows up.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddIte Cudd_addApply Cudd_bddAndAbstract Cudd_bddIntersect
-  Cudd_bddOr Cudd_bddNand Cudd_bddNor Cudd_bddXor Cudd_bddXnor]
-
-******************************************************************************/
-DdNode *
-Cudd_bddAnd(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddBddAndRecur(dd,f,g);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_bddAnd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the disjunction of two BDDs f and g.]
-
-  Description [Computes the disjunction of two BDDs f and g. Returns a
-  pointer to the resulting BDD if successful; NULL if the intermediate
-  result blows up.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddIte Cudd_addApply Cudd_bddAnd Cudd_bddNand Cudd_bddNor
-  Cudd_bddXor Cudd_bddXnor]
-
-******************************************************************************/
-DdNode *
-Cudd_bddOr(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddBddAndRecur(dd,Cudd_Not(f),Cudd_Not(g));
-    } while (dd->reordered == 1);
-    res = Cudd_NotCond(res,res != NULL);
-    return(res);
-
-} /* end of Cudd_bddOr */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the NAND of two BDDs f and g.]
-
-  Description [Computes the NAND of two BDDs f and g. Returns a
-  pointer to the resulting BDD if successful; NULL if the intermediate
-  result blows up.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddIte Cudd_addApply Cudd_bddAnd Cudd_bddOr Cudd_bddNor
-  Cudd_bddXor Cudd_bddXnor]
-
-******************************************************************************/
-DdNode *
-Cudd_bddNand(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddBddAndRecur(dd,f,g);
-    } while (dd->reordered == 1);
-    res = Cudd_NotCond(res,res != NULL);
-    return(res);
-
-} /* end of Cudd_bddNand */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the NOR of two BDDs f and g.]
-
-  Description [Computes the NOR of two BDDs f and g. Returns a
-  pointer to the resulting BDD if successful; NULL if the intermediate
-  result blows up.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddIte Cudd_addApply Cudd_bddAnd Cudd_bddOr Cudd_bddNand
-  Cudd_bddXor Cudd_bddXnor]
-
-******************************************************************************/
-DdNode *
-Cudd_bddNor(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddBddAndRecur(dd,Cudd_Not(f),Cudd_Not(g));
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_bddNor */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the exclusive OR of two BDDs f and g.]
-
-  Description [Computes the exclusive OR of two BDDs f and g. Returns a
-  pointer to the resulting BDD if successful; NULL if the intermediate
-  result blows up.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddIte Cudd_addApply Cudd_bddAnd Cudd_bddOr
-  Cudd_bddNand Cudd_bddNor Cudd_bddXnor]
-
-******************************************************************************/
-DdNode *
-Cudd_bddXor(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddBddXorRecur(dd,f,g);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_bddXor */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the exclusive NOR of two BDDs f and g.]
-
-  Description [Computes the exclusive NOR of two BDDs f and g. Returns a
-  pointer to the resulting BDD if successful; NULL if the intermediate
-  result blows up.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddIte Cudd_addApply Cudd_bddAnd Cudd_bddOr
-  Cudd_bddNand Cudd_bddNor Cudd_bddXor]
-
-******************************************************************************/
-DdNode *
-Cudd_bddXnor(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddBddXorRecur(dd,f,Cudd_Not(g));
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_bddXnor */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Determines whether f is less than or equal to g.]
-
-  Description [Returns 1 if f is less than or equal to g; 0 otherwise.
-  No new nodes are created.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddIteConstant Cudd_addEvalConst]
-
-******************************************************************************/
-int
-Cudd_bddLeq(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *one, *zero, *tmp, *F, *fv, *fvn, *gv, *gvn;
-    unsigned int topf, topg, res;
-
-    statLine(dd);
-    /* Terminal cases and normalization. */
-    if (f == g) return(1);
-
-    if (Cudd_IsComplement(g)) {
-    /* Special case: if f is regular and g is complemented,
-    ** f(1,...,1) = 1 > 0 = g(1,...,1).
-    */
-    if (!Cudd_IsComplement(f)) return(0);
-    /* Both are complemented: Swap and complement because
-    ** f <= g <=> g' <= f' and we want the second argument to be regular.
-    */
-    tmp = g;
-    g = Cudd_Not(f);
-    f = Cudd_Not(tmp);
-    } else if (Cudd_IsComplement(f) && g < f) {
-    tmp = g;
-    g = Cudd_Not(f);
-    f = Cudd_Not(tmp);
-    }
-
-    /* Now g is regular and, if f is not regular, f < g. */
-    one = DD_ONE(dd);
-    if (g == one) return(1);    /* no need to test against zero */
-    if (f == one) return(0);    /* since at this point g != one */
-    if (Cudd_Not(f) == g) return(0); /* because neither is constant */
-    zero = Cudd_Not(one);
-    if (f == zero) return(1);
-
-    /* Here neither f nor g is constant. */
-
-    /* Check cache. */
-    tmp = cuddCacheLookup2(dd,(DdNode * (*)(DdManager *, DdNode *,
-               DdNode *))Cudd_bddLeq,f,g);
-    if (tmp != NULL) {
-    return(tmp == one);
-    }
-
-    /* Compute cofactors. */
-    F = Cudd_Regular(f);
-    topf = dd->perm[F->index];
-    topg = dd->perm[g->index];
-    if (topf <= topg) {
-    fv = cuddT(F); fvn = cuddE(F);
-    if (f != F) {
-        fv = Cudd_Not(fv);
-        fvn = Cudd_Not(fvn);
-    }
-    } else {
-    fv = fvn = f;
-    }
-    if (topg <= topf) {
-    gv = cuddT(g); gvn = cuddE(g);
-    } else {
-    gv = gvn = g;
-    }
-
-    /* Recursive calls. Since we want to maximize the probability of
-    ** the special case f(1,...,1) > g(1,...,1), we consider the negative
-    ** cofactors first. Indeed, the complementation parity of the positive
-    ** cofactors is the same as the one of the parent functions.
-    */
-    res = Cudd_bddLeq(dd,fvn,gvn) && Cudd_bddLeq(dd,fv,gv);
-
-    /* Store result in cache and return. */
-    cuddCacheInsert2(dd,(DdNode * (*)(DdManager *, DdNode *, DdNode *))Cudd_bddLeq,f,g,(res ? one : zero));
-    return(res);
-
-} /* end of Cudd_bddLeq */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implements the recursive step of Cudd_bddIte.]
-
-  Description [Implements the recursive step of Cudd_bddIte. Returns a
-  pointer to the resulting BDD. NULL if the intermediate result blows
-  up or if reordering occurs.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-cuddBddIteRecur(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g,
-  DdNode * h)
-{
-    DdNode     *one, *zero, *res;
-    DdNode     *r, *Fv, *Fnv, *Gv, *Gnv, *H, *Hv, *Hnv, *t, *e;
-    unsigned int topf, topg, toph, v;
-    int         index;
-    int         comple;
-
-    statLine(dd);
-    /* Terminal cases. */
-
-    /* One variable cases. */
-    if (f == (one = DD_ONE(dd)))     /* ITE(1,G,H) = G */
-    return(g);
-    
-    if (f == (zero = Cudd_Not(one)))     /* ITE(0,G,H) = H */
-    return(h);
-    
-    /* From now on, f is known not to be a constant. */
-    if (g == one || f == g) {    /* ITE(F,F,H) = ITE(F,1,H) = F + H */
-    if (h == zero) {    /* ITE(F,1,0) = F */
-        return(f);
-    } else {
-        res = cuddBddAndRecur(dd,Cudd_Not(f),Cudd_Not(h));
-        return(Cudd_NotCond(res,res != NULL));
-    }
-    } else if (g == zero || f == Cudd_Not(g)) { /* ITE(F,!F,H) = ITE(F,0,H) = !F * H */
-    if (h == one) {        /* ITE(F,0,1) = !F */
-        return(Cudd_Not(f));
-    } else {
-        res = cuddBddAndRecur(dd,Cudd_Not(f),h);
-        return(res);
-    }
-    }
-    if (h == zero || f == h) {    /* ITE(F,G,F) = ITE(F,G,0) = F * G */
-    res = cuddBddAndRecur(dd,f,g);
-    return(res);
-    } else if (h == one || f == Cudd_Not(h)) { /* ITE(F,G,!F) = ITE(F,G,1) = !F + G */
-    res = cuddBddAndRecur(dd,f,Cudd_Not(g));
-    return(Cudd_NotCond(res,res != NULL));
-    }
-
-    /* Check remaining one variable case. */
-    if (g == h) {         /* ITE(F,G,G) = G */
-    return(g);
-    } else if (g == Cudd_Not(h)) { /* ITE(F,G,!G) = F <-> G */
-    res = cuddBddXorRecur(dd,f,h);
-    return(res);
-    }
-    
-    /* From here, there are no constants. */
-    comple = bddVarToCanonicalSimple(dd, &f, &g, &h, &topf, &topg, &toph);
-
-    /* f & g are now regular pointers */
-
-    v = ddMin(topg, toph);
-
-    /* A shortcut: ITE(F,G,H) = (v,G,H) if F = (v,1,0), v < top(G,H). */
-    if (topf < v && cuddT(f) == one && cuddE(f) == zero) {
-    r = cuddUniqueInter(dd, (int) f->index, g, h);
-    return(Cudd_NotCond(r,comple && r != NULL));
-    }
-
-    /* Check cache. */
-    r = cuddCacheLookup(dd, DD_BDD_ITE_TAG, f, g, h);
-    if (r != NULL) {
-    return(Cudd_NotCond(r,comple));
-    }
-
-    /* Compute cofactors. */
-    if (topf <= v) {
-    v = ddMin(topf, v);    /* v = top_var(F,G,H) */
-    index = f->index;
-    Fv = cuddT(f); Fnv = cuddE(f);
-    } else {
-    Fv = Fnv = f;
-    }
-    if (topg == v) {
-    index = g->index;
-    Gv = cuddT(g); Gnv = cuddE(g);
-    } else {
-    Gv = Gnv = g;
-    }
-    if (toph == v) {
-    H = Cudd_Regular(h);
-    index = H->index;
-    Hv = cuddT(H); Hnv = cuddE(H);
-    if (Cudd_IsComplement(h)) {
-        Hv = Cudd_Not(Hv);
-        Hnv = Cudd_Not(Hnv);
-    }
-    } else {
-    Hv = Hnv = h;
-    }
-
-    /* Recursive step. */
-    t = cuddBddIteRecur(dd,Fv,Gv,Hv);
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-
-    e = cuddBddIteRecur(dd,Fnv,Gnv,Hnv);
-    if (e == NULL) {
-    Cudd_IterDerefBdd(dd,t);
-    return(NULL);
-    }
-    cuddRef(e);
-
-    r = (t == e) ? t : cuddUniqueInter(dd,index,t,e);
-    if (r == NULL) {
-    Cudd_IterDerefBdd(dd,t);
-    Cudd_IterDerefBdd(dd,e);
-    return(NULL);
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-
-    cuddCacheInsert(dd, DD_BDD_ITE_TAG, f, g, h, r);
-    return(Cudd_NotCond(r,comple));
-
-} /* end of cuddBddIteRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implements the recursive step of Cudd_bddIntersect.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddIntersect]
-
-******************************************************************************/
-DdNode *
-cuddBddIntersectRecur(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *res;
-    DdNode *F, *G, *t, *e;
-    DdNode *fv, *fnv, *gv, *gnv;
-    DdNode *one, *zero;
-    unsigned int index, topf, topg;
-
-    statLine(dd);
-    one = DD_ONE(dd);
-    zero = Cudd_Not(one);
-
-    /* Terminal cases. */
-    if (f == zero || g == zero || f == Cudd_Not(g)) return(zero);
-    if (f == g || g == one) return(f);
-    if (f == one) return(g);
-
-    /* At this point f and g are not constant. */
-    if (f > g) { DdNode *tmp = f; f = g; g = tmp; }
-    res = cuddCacheLookup2(dd,Cudd_bddIntersect,f,g);
-    if (res != NULL) return(res);
-
-    /* Find splitting variable. Here we can skip the use of cuddI,
-    ** because the operands are known to be non-constant.
-    */
-    F = Cudd_Regular(f);
-    topf = dd->perm[F->index];
-    G = Cudd_Regular(g);
-    topg = dd->perm[G->index];
-
-    /* Compute cofactors. */
-    if (topf <= topg) {
-    index = F->index;
-    fv = cuddT(F);
-    fnv = cuddE(F);
-    if (Cudd_IsComplement(f)) {
-        fv = Cudd_Not(fv);
-        fnv = Cudd_Not(fnv);
-    }
-    } else {
-    index = G->index;
-    fv = fnv = f;
-    }
-
-    if (topg <= topf) {
-    gv = cuddT(G);
-    gnv = cuddE(G);
-    if (Cudd_IsComplement(g)) {
-        gv = Cudd_Not(gv);
-        gnv = Cudd_Not(gnv);
-    }
-    } else {
-    gv = gnv = g;
-    }
-
-    /* Compute partial results. */
-    t = cuddBddIntersectRecur(dd,fv,gv);
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-    if (t != zero) {
-    e = zero;
-    } else {
-    e = cuddBddIntersectRecur(dd,fnv,gnv);
-    if (e == NULL) {
-        Cudd_IterDerefBdd(dd, t);
-        return(NULL);
-    }
-    }
-    cuddRef(e);
-
-    if (t == e) { /* both equal zero */
-    res = t;
-    } else if (Cudd_IsComplement(t)) {
-    res = cuddUniqueInter(dd,(int)index,Cudd_Not(t),Cudd_Not(e));
-    if (res == NULL) {
-        Cudd_IterDerefBdd(dd, t);
-        Cudd_IterDerefBdd(dd, e);
-        return(NULL);
-    }
-    res = Cudd_Not(res);
-    } else {
-    res = cuddUniqueInter(dd,(int)index,t,e);
-    if (res == NULL) {
-        Cudd_IterDerefBdd(dd, t);
-        Cudd_IterDerefBdd(dd, e);
-        return(NULL);
-    }
-    }
-    cuddDeref(e);
-    cuddDeref(t);
-
-    cuddCacheInsert2(dd,Cudd_bddIntersect,f,g,res);
-
-    return(res);
-
-} /* end of cuddBddIntersectRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis [Implements the recursive step of Cudd_bddAnd.]
-
-  Description [Implements the recursive step of Cudd_bddAnd by taking
-  the conjunction of two BDDs.  Returns a pointer to the result is
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddAnd]
-
-******************************************************************************/
-DdNode *
-cuddBddAndRecur(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *F, *fv, *fnv, *G, *gv, *gnv;
-    DdNode *one, *r, *t, *e;
-    unsigned int topf, topg, index;
-
-    statLine(manager);
-    one = DD_ONE(manager);
-
-    /* Terminal cases. */
-    F = Cudd_Regular(f);
-    G = Cudd_Regular(g);
-    if (F == G) {
-    if (f == g) return(f);
-    else return(Cudd_Not(one));
-    }
-    if (F == one) {
-    if (f == one) return(g);
-    else return(f);
-    }
-    if (G == one) {
-    if (g == one) return(f);
-    else return(g);
-    }
-
-    /* At this point f and g are not constant. */
-    if (f > g) { /* Try to increase cache efficiency. */
-    DdNode *tmp = f;
-    f = g;
-    g = tmp;
-    F = Cudd_Regular(f);
-    G = Cudd_Regular(g);
-    }
-
-    /* Check cache. */
-    if (F->ref != 1 || G->ref != 1) {
-    r = cuddCacheLookup2(manager, Cudd_bddAnd, f, g);
-    if (r != NULL) return(r);
-    }
-
-    /* Here we can skip the use of cuddI, because the operands are known
-    ** to be non-constant.
-    */
-    topf = manager->perm[F->index];
-    topg = manager->perm[G->index];
-
-    /* Compute cofactors. */
-    if (topf <= topg) {
-    index = F->index;
-    fv = cuddT(F);
-    fnv = cuddE(F);
-    if (Cudd_IsComplement(f)) {
-        fv = Cudd_Not(fv);
-        fnv = Cudd_Not(fnv);
-    }
-    } else {
-    index = G->index;
-    fv = fnv = f;
-    }
-
-    if (topg <= topf) {
-    gv = cuddT(G);
-    gnv = cuddE(G);
-    if (Cudd_IsComplement(g)) {
-        gv = Cudd_Not(gv);
-        gnv = Cudd_Not(gnv);
-    }
-    } else {
-    gv = gnv = g;
-    }
-
-    t = cuddBddAndRecur(manager, fv, gv);
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-
-    e = cuddBddAndRecur(manager, fnv, gnv);
-    if (e == NULL) {
-    Cudd_IterDerefBdd(manager, t);
-    return(NULL);
-    }
-    cuddRef(e);
-
-    if (t == e) {
-    r = t;
-    } else {
-    if (Cudd_IsComplement(t)) {
-        r = cuddUniqueInter(manager,(int)index,Cudd_Not(t),Cudd_Not(e));
-        if (r == NULL) {
-        Cudd_IterDerefBdd(manager, t);
-        Cudd_IterDerefBdd(manager, e);
-        return(NULL);
-        }
-        r = Cudd_Not(r);
-    } else {
-        r = cuddUniqueInter(manager,(int)index,t,e);
-        if (r == NULL) {
-        Cudd_IterDerefBdd(manager, t);
-        Cudd_IterDerefBdd(manager, e);
-        return(NULL);
-        }
-    }
-    }
-    cuddDeref(e);
-    cuddDeref(t);
-    if (F->ref != 1 || G->ref != 1)
-    cuddCacheInsert2(manager, Cudd_bddAnd, f, g, r);
-    return(r);
-
-} /* end of cuddBddAndRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis [Implements the recursive step of Cudd_bddXor.]
-
-  Description [Implements the recursive step of Cudd_bddXor by taking
-  the exclusive OR of two BDDs.  Returns a pointer to the result is
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddXor]
-
-******************************************************************************/
-DdNode *
-cuddBddXorRecur(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *fv, *fnv, *G, *gv, *gnv;
-    DdNode *one, *zero, *r, *t, *e;
-    unsigned int topf, topg, index;
-
-    statLine(manager);
-    one = DD_ONE(manager);
-    zero = Cudd_Not(one);
-
-    /* Terminal cases. */
-    if (f == g) return(zero);
-    if (f == Cudd_Not(g)) return(one);
-    if (f > g) { /* Try to increase cache efficiency and simplify tests. */
-    DdNode *tmp = f;
-    f = g;
-    g = tmp;
-    }
-    if (g == zero) return(f);
-    if (g == one) return(Cudd_Not(f));
-    if (Cudd_IsComplement(f)) {
-    f = Cudd_Not(f);
-    g = Cudd_Not(g);
-    }
-    /* Now the first argument is regular. */
-    if (f == one) return(Cudd_Not(g));
-
-    /* At this point f and g are not constant. */
-
-    /* Check cache. */
-    r = cuddCacheLookup2(manager, Cudd_bddXor, f, g);
-    if (r != NULL) return(r);
-
-    /* Here we can skip the use of cuddI, because the operands are known
-    ** to be non-constant.
-    */
-    topf = manager->perm[f->index];
-    G = Cudd_Regular(g);
-    topg = manager->perm[G->index];
-
-    /* Compute cofactors. */
-    if (topf <= topg) {
-    index = f->index;
-    fv = cuddT(f);
-    fnv = cuddE(f);
-    } else {
-    index = G->index;
-    fv = fnv = f;
-    }
-
-    if (topg <= topf) {
-    gv = cuddT(G);
-    gnv = cuddE(G);
-    if (Cudd_IsComplement(g)) {
-        gv = Cudd_Not(gv);
-        gnv = Cudd_Not(gnv);
-    }
-    } else {
-    gv = gnv = g;
-    }
-
-    t = cuddBddXorRecur(manager, fv, gv);
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-
-    e = cuddBddXorRecur(manager, fnv, gnv);
-    if (e == NULL) {
-    Cudd_IterDerefBdd(manager, t);
-    return(NULL);
-    }
-    cuddRef(e);
-
-    if (t == e) {
-    r = t;
-    } else {
-    if (Cudd_IsComplement(t)) {
-        r = cuddUniqueInter(manager,(int)index,Cudd_Not(t),Cudd_Not(e));
-        if (r == NULL) {
-        Cudd_IterDerefBdd(manager, t);
-        Cudd_IterDerefBdd(manager, e);
-        return(NULL);
-        }
-        r = Cudd_Not(r);
-    } else {
-        r = cuddUniqueInter(manager,(int)index,t,e);
-        if (r == NULL) {
-        Cudd_IterDerefBdd(manager, t);
-        Cudd_IterDerefBdd(manager, e);
-        return(NULL);
-        }
-    }
-    }
-    cuddDeref(e);
-    cuddDeref(t);
-    cuddCacheInsert2(manager, Cudd_bddXor, f, g, r);
-    return(r);
-
-} /* end of cuddBddXorRecur */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Replaces variables with constants if possible.]
-
-  Description [This function performs part of the transformation to
-  standard form by replacing variables with constants if possible.]
-
-  SideEffects [None]
-
-  SeeAlso     [bddVarToCanonical bddVarToCanonicalSimple]
-
-******************************************************************************/
-static void
-bddVarToConst(
-  DdNode * f,
-  DdNode ** gp,
-  DdNode ** hp,
-  DdNode * one)
-{
-    DdNode *g = *gp;
-    DdNode *h = *hp;
-
-    if (f == g) {    /* ITE(F,F,H) = ITE(F,1,H) = F + H */
-    *gp = one;
-    } else if (f == Cudd_Not(g)) {    /* ITE(F,!F,H) = ITE(F,0,H) = !F * H */
-    *gp = Cudd_Not(one);
-    }
-    if (f == h) {    /* ITE(F,G,F) = ITE(F,G,0) = F * G */
-    *hp = Cudd_Not(one);
-    } else if (f == Cudd_Not(h)) {    /* ITE(F,G,!F) = ITE(F,G,1) = !F + G */
-    *hp = one;
-    }
-
-} /* end of bddVarToConst */
-
-
-/**Function********************************************************************
-
-  Synopsis [Picks unique member from equiv expressions.]
-
-  Description [Reduces 2 variable expressions to canonical form.]
-
-  SideEffects [None]
-
-  SeeAlso     [bddVarToConst bddVarToCanonicalSimple]
-
-******************************************************************************/
-static int
-bddVarToCanonical(
-  DdManager * dd,
-  DdNode ** fp,
-  DdNode ** gp,
-  DdNode ** hp,
-  unsigned int * topfp,
-  unsigned int * topgp,
-  unsigned int * tophp)
-{
-    register DdNode        *F, *G, *H, *r, *f, *g, *h;
-    register unsigned int    topf, topg, toph;
-    DdNode            *one = dd->one;
-    int                comple, change;
-
-    f = *fp;
-    g = *gp;
-    h = *hp;
-    F = Cudd_Regular(f);
-    G = Cudd_Regular(g);
-    H = Cudd_Regular(h);
-    topf = cuddI(dd,F->index);
-    topg = cuddI(dd,G->index);
-    toph = cuddI(dd,H->index);
-
-    change = 0;
-
-    if (G == one) {            /* ITE(F,c,H) */
-    if ((topf > toph) || (topf == toph && f > h)) {
-        r = h;
-        h = f;
-        f = r;            /* ITE(F,1,H) = ITE(H,1,F) */
-        if (g != one) {    /* g == zero */
-        f = Cudd_Not(f);        /* ITE(F,0,H) = ITE(!H,0,!F) */
-        h = Cudd_Not(h);
-        }
-        change = 1;
-    }
-    } else if (H == one) {        /* ITE(F,G,c) */
-    if ((topf > topg) || (topf == topg && f > g)) {
-        r = g;
-        g = f;
-        f = r;            /* ITE(F,G,0) = ITE(G,F,0) */
-        if (h == one) {
-        f = Cudd_Not(f);        /* ITE(F,G,1) = ITE(!G,!F,1) */
-        g = Cudd_Not(g);
-        }
-        change = 1;
-    }
-    } else if (g == Cudd_Not(h)) {    /* ITE(F,G,!G) = ITE(G,F,!F) */
-    if ((topf > topg) || (topf == topg && f > g)) {
-        r = f;
-        f = g;
-        g = r;
-        h = Cudd_Not(r);
-        change = 1;
-    }
-    }
-    /* adjust pointers so that the first 2 arguments to ITE are regular */
-    if (Cudd_IsComplement(f) != 0) {    /* ITE(!F,G,H) = ITE(F,H,G) */
-    f = Cudd_Not(f);
-    r = g;
-    g = h;
-    h = r;
-    change = 1;
-    }
-    comple = 0;
-    if (Cudd_IsComplement(g) != 0) {    /* ITE(F,!G,H) = !ITE(F,G,!H) */
-    g = Cudd_Not(g);
-    h = Cudd_Not(h);
-    change = 1;
-    comple = 1;
-    }
-    if (change != 0) {
-    *fp = f;
-    *gp = g;
-    *hp = h;
-    }
-    *topfp = cuddI(dd,f->index);
-    *topgp = cuddI(dd,g->index);
-    *tophp = cuddI(dd,Cudd_Regular(h)->index);
-
-    return(comple);
-
-} /* end of bddVarToCanonical */
-
-
-/**Function********************************************************************
-
-  Synopsis [Picks unique member from equiv expressions.]
-
-  Description [Makes sure the first two pointers are regular.  This
-  mat require the complementation of the result, which is signaled by
-  returning 1 instead of 0.  This function is simpler than the general
-  case because it assumes that no two arguments are the same or
-  complementary, and no argument is constant.]
-
-  SideEffects [None]
-
-  SeeAlso     [bddVarToConst bddVarToCanonical]
-
-******************************************************************************/
-static int
-bddVarToCanonicalSimple(
-  DdManager * dd,
-  DdNode ** fp,
-  DdNode ** gp,
-  DdNode ** hp,
-  unsigned int * topfp,
-  unsigned int * topgp,
-  unsigned int * tophp)
-{
-    register DdNode        *r, *f, *g, *h;
-    int                comple, change;
-
-    f = *fp;
-    g = *gp;
-    h = *hp;
-
-    change = 0;
-
-    /* adjust pointers so that the first 2 arguments to ITE are regular */
-    if (Cudd_IsComplement(f)) {    /* ITE(!F,G,H) = ITE(F,H,G) */
-    f = Cudd_Not(f);
-    r = g;
-    g = h;
-    h = r;
-    change = 1;
-    }
-    comple = 0;
-    if (Cudd_IsComplement(g)) {    /* ITE(F,!G,H) = !ITE(F,G,!H) */
-    g = Cudd_Not(g);
-    h = Cudd_Not(h);
-    change = 1;
-    comple = 1;
-    }
-    if (change) {
-    *fp = f;
-    *gp = g;
-    *hp = h;
-    }
-
-    /* Here we can skip the use of cuddI, because the operands are known
-    ** to be non-constant.
-    */
-    *topfp = dd->perm[f->index];
-    *topgp = dd->perm[g->index];
-    *tophp = dd->perm[Cudd_Regular(h)->index];
-
-    return(comple);
-
-} /* end of bddVarToCanonicalSimple */
-
diff --git a/src/bdd/cudd/cuddBridge.c b/src/bdd/cudd/cuddBridge.c
deleted file mode 100644
index ccc0893f..00000000
--- a/src/bdd/cudd/cuddBridge.c
+++ /dev/null
@@ -1,981 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddBridge.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Translation from BDD to ADD and vice versa and transfer between
-  different managers.]
-
-  Description [External procedures included in this file:
-        <ul>
-        <li> Cudd_addBddThreshold()
-        <li> Cudd_addBddStrictThreshold()
-        <li> Cudd_addBddInterval()
-        <li> Cudd_addBddIthBit()
-        <li> Cudd_BddToAdd()
-        <li> Cudd_addBddPattern()
-        <li> Cudd_bddTransfer()
-        </ul>
-    Internal procedures included in this file:
-        <ul>
-        <li> cuddBddTransfer()
-        <li> cuddAddBddDoPattern()
-        </ul>
-    Static procedures included in this file:
-        <ul>
-        <li> addBddDoThreshold()
-        <li> addBddDoStrictThreshold()
-        <li> addBddDoInterval()
-        <li> addBddDoIthBit()
-        <li> ddBddToAddRecur()
-        <li> cuddBddTransferRecur()
-        </ul>
-        ]
-
-  SeeAlso     []
-
-  Author      [Fabio Somenzi]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddBridge.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static DdNode * addBddDoThreshold ARGS((DdManager *dd, DdNode *f, DdNode *val));
-static DdNode * addBddDoStrictThreshold ARGS((DdManager *dd, DdNode *f, DdNode *val));
-static DdNode * addBddDoInterval ARGS((DdManager *dd, DdNode *f, DdNode *l, DdNode *u));
-static DdNode * addBddDoIthBit ARGS((DdManager *dd, DdNode *f, DdNode *index));
-static DdNode * ddBddToAddRecur ARGS((DdManager *dd, DdNode *B));
-static DdNode * cuddBddTransferRecur ARGS((DdManager *ddS, DdManager *ddD, DdNode *f, st_table *table));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Converts an ADD to a BDD.]
-
-  Description [Converts an ADD to a BDD by replacing all
-  discriminants greater than or equal to value with 1, and all other
-  discriminants with 0. Returns a pointer to the resulting BDD if
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addBddInterval Cudd_addBddPattern Cudd_BddToAdd
-  Cudd_addBddStrictThreshold]
-
-******************************************************************************/
-DdNode *
-Cudd_addBddThreshold(
-  DdManager * dd,
-  DdNode * f,
-  CUDD_VALUE_TYPE  value)
-{
-    DdNode *res;
-    DdNode *val;
-    
-    val = cuddUniqueConst(dd,value);
-    if (val == NULL) return(NULL);
-    cuddRef(val);
-
-    do {
-    dd->reordered = 0;
-    res = addBddDoThreshold(dd, f, val);
-    } while (dd->reordered == 1);
-
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd, val);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(dd, val);
-    cuddDeref(res);
-    return(res);
-
-} /* end of Cudd_addBddThreshold */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Converts an ADD to a BDD.]
-
-  Description [Converts an ADD to a BDD by replacing all
-  discriminants STRICTLY greater than value with 1, and all other
-  discriminants with 0. Returns a pointer to the resulting BDD if
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addBddInterval Cudd_addBddPattern Cudd_BddToAdd 
-  Cudd_addBddThreshold]
-
-******************************************************************************/
-DdNode *
-Cudd_addBddStrictThreshold(
-  DdManager * dd,
-  DdNode * f,
-  CUDD_VALUE_TYPE  value)
-{
-    DdNode *res;
-    DdNode *val;
-    
-    val = cuddUniqueConst(dd,value);
-    if (val == NULL) return(NULL);
-    cuddRef(val);
-
-    do {
-    dd->reordered = 0;
-    res = addBddDoStrictThreshold(dd, f, val);
-    } while (dd->reordered == 1);
-
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd, val);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(dd, val);
-    cuddDeref(res);
-    return(res);
-
-} /* end of Cudd_addBddStrictThreshold */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Converts an ADD to a BDD.]
-
-  Description [Converts an ADD to a BDD by replacing all
-  discriminants greater than or equal to lower and less than or equal to
-  upper with 1, and all other discriminants with 0. Returns a pointer to
-  the resulting BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addBddThreshold Cudd_addBddStrictThreshold 
-  Cudd_addBddPattern Cudd_BddToAdd]
-
-******************************************************************************/
-DdNode *
-Cudd_addBddInterval(
-  DdManager * dd,
-  DdNode * f,
-  CUDD_VALUE_TYPE  lower,
-  CUDD_VALUE_TYPE  upper)
-{
-    DdNode *res;
-    DdNode *l;
-    DdNode *u;
-    
-    /* Create constant nodes for the interval bounds, so that we can use
-    ** the global cache.
-    */
-    l = cuddUniqueConst(dd,lower);
-    if (l == NULL) return(NULL);
-    cuddRef(l);
-    u = cuddUniqueConst(dd,upper);
-    if (u == NULL) {
-    Cudd_RecursiveDeref(dd,l);
-    return(NULL);
-    }
-    cuddRef(u);
-
-    do {
-    dd->reordered = 0;
-    res = addBddDoInterval(dd, f, l, u);
-    } while (dd->reordered == 1);
-
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd, l);
-    Cudd_RecursiveDeref(dd, u);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(dd, l);
-    Cudd_RecursiveDeref(dd, u);
-    cuddDeref(res);
-    return(res);
-
-} /* end of Cudd_addBddInterval */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Converts an ADD to a BDD by extracting the i-th bit from
-  the leaves.]
-
-  Description [Converts an ADD to a BDD by replacing all
-  discriminants whose i-th bit is equal to 1 with 1, and all other
-  discriminants with 0. The i-th bit refers to the integer
-  representation of the leaf value. If the value is has a fractional
-  part, it is ignored. Repeated calls to this procedure allow one to
-  transform an integer-valued ADD into an array of BDDs, one for each
-  bit of the leaf values. Returns a pointer to the resulting BDD if
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addBddInterval Cudd_addBddPattern Cudd_BddToAdd]
-
-******************************************************************************/
-DdNode *
-Cudd_addBddIthBit(
-  DdManager * dd,
-  DdNode * f,
-  int  bit)
-{
-    DdNode *res;
-    DdNode *index;
-    
-    index = cuddUniqueConst(dd,(CUDD_VALUE_TYPE) bit);
-    if (index == NULL) return(NULL);
-    cuddRef(index);
-
-    do {
-    dd->reordered = 0;
-    res = addBddDoIthBit(dd, f, index);
-    } while (dd->reordered == 1);
-
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd, index);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(dd, index);
-    cuddDeref(res);
-    return(res);
-
-} /* end of Cudd_addBddIthBit */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Converts a BDD to a 0-1 ADD.]
-
-  Description [Converts a BDD to a 0-1 ADD. Returns a pointer to the
-  resulting ADD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addBddPattern Cudd_addBddThreshold Cudd_addBddInterval
-  Cudd_addBddStrictThreshold]
-
-******************************************************************************/
-DdNode *
-Cudd_BddToAdd(
-  DdManager * dd,
-  DdNode * B)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = ddBddToAddRecur(dd, B);
-    } while (dd->reordered ==1);
-    return(res);
-
-} /* end of Cudd_BddToAdd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Converts an ADD to a BDD.]
-
-  Description [Converts an ADD to a BDD by replacing all
-  discriminants different from 0 with 1. Returns a pointer to the
-  resulting BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_BddToAdd Cudd_addBddThreshold Cudd_addBddInterval
-  Cudd_addBddStrictThreshold]
-
-******************************************************************************/
-DdNode *
-Cudd_addBddPattern(
-  DdManager * dd,
-  DdNode * f)
-{
-    DdNode *res;
-    
-    do {
-    dd->reordered = 0;
-    res = cuddAddBddDoPattern(dd, f);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_addBddPattern */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Convert a BDD from a manager to another one.]
-
-  Description [Convert a BDD from a manager to another one. The orders of the
-  variables in the two managers may be different. Returns a
-  pointer to the BDD in the destination manager if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-Cudd_bddTransfer(
-  DdManager * ddSource,
-  DdManager * ddDestination,
-  DdNode * f)
-{
-    DdNode *res;
-    do {
-    ddDestination->reordered = 0;
-    res = cuddBddTransfer(ddSource, ddDestination, f);
-    } while (ddDestination->reordered == 1);
-    return(res);
-
-} /* end of Cudd_bddTransfer */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Convert a BDD from a manager to another one.]
-
-  Description [Convert a BDD from a manager to another one. Returns a
-  pointer to the BDD in the destination manager if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddTransfer]
-
-******************************************************************************/
-DdNode *
-cuddBddTransfer(
-  DdManager * ddS,
-  DdManager * ddD,
-  DdNode * f)
-{
-    DdNode *res;
-    st_table *table = NULL;
-    st_generator *gen = NULL;
-    DdNode *key, *value;
-
-    table = st_init_table(st_ptrcmp,st_ptrhash);
-    if (table == NULL) goto failure;
-    res = cuddBddTransferRecur(ddS, ddD, f, table);
-    if (res != NULL) cuddRef(res);
-
-    /* Dereference all elements in the table and dispose of the table.
-    ** This must be done also if res is NULL to avoid leaks in case of
-    ** reordering. */
-    gen = st_init_gen(table);
-    if (gen == NULL) goto failure;
-    while (st_gen(gen, (char **) &key, (char **) &value)) {
-    Cudd_RecursiveDeref(ddD, value);
-    }
-    st_free_gen(gen); gen = NULL;
-    st_free_table(table); table = NULL;
-
-    if (res != NULL) cuddDeref(res);
-    return(res);
-
-failure:
-    if (table != NULL) st_free_table(table);
-    if (gen != NULL) st_free_gen(gen);
-    return(NULL);
-
-} /* end of cuddBddTransfer */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step for Cudd_addBddPattern.]
-
-  Description [Performs the recursive step for Cudd_addBddPattern. Returns a
-  pointer to the resulting BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-cuddAddBddDoPattern(
-  DdManager * dd,
-  DdNode * f)
-{
-    DdNode *res, *T, *E;
-    DdNode *fv, *fvn;
-    int v;
-
-    statLine(dd);
-    /* Check terminal case. */
-    if (cuddIsConstant(f)) {
-    return(Cudd_NotCond(DD_ONE(dd),f == DD_ZERO(dd)));
-    }
-
-    /* Check cache. */
-    res = cuddCacheLookup1(dd,Cudd_addBddPattern,f);
-    if (res != NULL) return(res);
-
-    /* Recursive step. */
-    v = f->index;
-    fv = cuddT(f); fvn = cuddE(f);
-
-    T = cuddAddBddDoPattern(dd,fv);
-    if (T == NULL) return(NULL);
-    cuddRef(T);
-
-    E = cuddAddBddDoPattern(dd,fvn);
-    if (E == NULL) {
-    Cudd_RecursiveDeref(dd, T);
-    return(NULL);
-    }
-    cuddRef(E);
-    if (Cudd_IsComplement(T)) {
-    res = (T == E) ? Cudd_Not(T) : cuddUniqueInter(dd,v,Cudd_Not(T),Cudd_Not(E));
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd, T);
-        Cudd_RecursiveDeref(dd, E);
-        return(NULL);
-    }
-    res = Cudd_Not(res);
-    } else {
-    res = (T == E) ? T : cuddUniqueInter(dd,v,T,E);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd, T);
-        Cudd_RecursiveDeref(dd, E);
-        return(NULL);
-    }
-    }
-    cuddDeref(T);
-    cuddDeref(E);
-
-    /* Store result. */
-    cuddCacheInsert1(dd,Cudd_addBddPattern,f,res);
-
-    return(res);
-
-} /* end of cuddAddBddDoPattern */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step for Cudd_addBddThreshold.]
-
-  Description [Performs the recursive step for Cudd_addBddThreshold.
-  Returns a pointer to the BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [addBddDoStrictThreshold]
-
-******************************************************************************/
-static DdNode *
-addBddDoThreshold(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * val)
-{
-    DdNode *res, *T, *E;
-    DdNode *fv, *fvn;
-    int v;
-
-    statLine(dd);
-    /* Check terminal case. */
-    if (cuddIsConstant(f)) {
-    return(Cudd_NotCond(DD_ONE(dd),cuddV(f) < cuddV(val)));
-    }
-
-    /* Check cache. */
-    res = cuddCacheLookup2(dd,addBddDoThreshold,f,val);
-    if (res != NULL) return(res);
-
-    /* Recursive step. */
-    v = f->index;
-    fv = cuddT(f); fvn = cuddE(f);
-
-    T = addBddDoThreshold(dd,fv,val);
-    if (T == NULL) return(NULL);
-    cuddRef(T);
-
-    E = addBddDoThreshold(dd,fvn,val);
-    if (E == NULL) {
-    Cudd_RecursiveDeref(dd, T);
-    return(NULL);
-    }
-    cuddRef(E);
-    if (Cudd_IsComplement(T)) {
-    res = (T == E) ? Cudd_Not(T) : cuddUniqueInter(dd,v,Cudd_Not(T),Cudd_Not(E));
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd, T);
-        Cudd_RecursiveDeref(dd, E);
-        return(NULL);
-    }
-    res = Cudd_Not(res);
-    } else {
-    res = (T == E) ? T : cuddUniqueInter(dd,v,T,E);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd, T);
-        Cudd_RecursiveDeref(dd, E);
-        return(NULL);
-    }
-    }
-    cuddDeref(T);
-    cuddDeref(E);
-
-    /* Store result. */
-    cuddCacheInsert2(dd,addBddDoThreshold,f,val,res);
-
-    return(res);
-
-} /* end of addBddDoThreshold */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step for Cudd_addBddStrictThreshold.]
-
-  Description [Performs the recursive step for Cudd_addBddStrictThreshold.
-  Returns a pointer to the BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [addBddDoThreshold]
-
-******************************************************************************/
-static DdNode *
-addBddDoStrictThreshold(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * val)
-{
-    DdNode *res, *T, *E;
-    DdNode *fv, *fvn;
-    int v;
-
-    statLine(dd);
-    /* Check terminal case. */
-    if (cuddIsConstant(f)) {
-    return(Cudd_NotCond(DD_ONE(dd),cuddV(f) <= cuddV(val)));
-    }
-
-    /* Check cache. */
-    res = cuddCacheLookup2(dd,addBddDoStrictThreshold,f,val);
-    if (res != NULL) return(res);
-
-    /* Recursive step. */
-    v = f->index;
-    fv = cuddT(f); fvn = cuddE(f);
-
-    T = addBddDoStrictThreshold(dd,fv,val);
-    if (T == NULL) return(NULL);
-    cuddRef(T);
-
-    E = addBddDoStrictThreshold(dd,fvn,val);
-    if (E == NULL) {
-    Cudd_RecursiveDeref(dd, T);
-    return(NULL);
-    }
-    cuddRef(E);
-    if (Cudd_IsComplement(T)) {
-    res = (T == E) ? Cudd_Not(T) : cuddUniqueInter(dd,v,Cudd_Not(T),Cudd_Not(E));
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd, T);
-        Cudd_RecursiveDeref(dd, E);
-        return(NULL);
-    }
-    res = Cudd_Not(res);
-    } else {
-    res = (T == E) ? T : cuddUniqueInter(dd,v,T,E);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd, T);
-        Cudd_RecursiveDeref(dd, E);
-        return(NULL);
-    }
-    }
-    cuddDeref(T);
-    cuddDeref(E);
-
-    /* Store result. */
-    cuddCacheInsert2(dd,addBddDoStrictThreshold,f,val,res);
-
-    return(res);
-
-} /* end of addBddDoStrictThreshold */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step for Cudd_addBddInterval.]
-
-  Description [Performs the recursive step for Cudd_addBddInterval.
-  Returns a pointer to the BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [addBddDoThreshold addBddDoStrictThreshold]
-
-******************************************************************************/
-static DdNode *
-addBddDoInterval(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * l,
-  DdNode * u)
-{
-    DdNode *res, *T, *E;
-    DdNode *fv, *fvn;
-    int v;
-
-    statLine(dd);
-    /* Check terminal case. */
-    if (cuddIsConstant(f)) {
-    return(Cudd_NotCond(DD_ONE(dd),cuddV(f) < cuddV(l) || cuddV(f) > cuddV(u)));
-    }
-
-    /* Check cache. */
-    res = cuddCacheLookup(dd,DD_ADD_BDD_DO_INTERVAL_TAG,f,l,u);
-    if (res != NULL) return(res);
-
-    /* Recursive step. */
-    v = f->index;
-    fv = cuddT(f); fvn = cuddE(f);
-
-    T = addBddDoInterval(dd,fv,l,u);
-    if (T == NULL) return(NULL);
-    cuddRef(T);
-
-    E = addBddDoInterval(dd,fvn,l,u);
-    if (E == NULL) {
-    Cudd_RecursiveDeref(dd, T);
-    return(NULL);
-    }
-    cuddRef(E);
-    if (Cudd_IsComplement(T)) {
-    res = (T == E) ? Cudd_Not(T) : cuddUniqueInter(dd,v,Cudd_Not(T),Cudd_Not(E));
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd, T);
-        Cudd_RecursiveDeref(dd, E);
-        return(NULL);
-    }
-    res = Cudd_Not(res);
-    } else {
-    res = (T == E) ? T : cuddUniqueInter(dd,v,T,E);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd, T);
-        Cudd_RecursiveDeref(dd, E);
-        return(NULL);
-    }
-    }
-    cuddDeref(T);
-    cuddDeref(E);
-
-    /* Store result. */
-    cuddCacheInsert(dd,DD_ADD_BDD_DO_INTERVAL_TAG,f,l,u,res);
-
-    return(res);
-
-} /* end of addBddDoInterval */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step for Cudd_addBddIthBit.]
-
-  Description [Performs the recursive step for Cudd_addBddIthBit.
-  Returns a pointer to the BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static DdNode *
-addBddDoIthBit(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * index)
-{
-    DdNode *res, *T, *E;
-    DdNode *fv, *fvn;
-    int mask, value;
-    int v;
-
-    statLine(dd);
-    /* Check terminal case. */
-    if (cuddIsConstant(f)) {
-    mask = 1 << ((int) cuddV(index));
-    value = (int) cuddV(f);
-    return(Cudd_NotCond(DD_ONE(dd),(value & mask) == 0));
-    }
-
-    /* Check cache. */
-    res = cuddCacheLookup2(dd,addBddDoIthBit,f,index);
-    if (res != NULL) return(res);
-
-    /* Recursive step. */
-    v = f->index;
-    fv = cuddT(f); fvn = cuddE(f);
-
-    T = addBddDoIthBit(dd,fv,index);
-    if (T == NULL) return(NULL);
-    cuddRef(T);
-
-    E = addBddDoIthBit(dd,fvn,index);
-    if (E == NULL) {
-    Cudd_RecursiveDeref(dd, T);
-    return(NULL);
-    }
-    cuddRef(E);
-    if (Cudd_IsComplement(T)) {
-    res = (T == E) ? Cudd_Not(T) : cuddUniqueInter(dd,v,Cudd_Not(T),Cudd_Not(E));
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd, T);
-        Cudd_RecursiveDeref(dd, E);
-        return(NULL);
-    }
-    res = Cudd_Not(res);
-    } else {
-    res = (T == E) ? T : cuddUniqueInter(dd,v,T,E);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd, T);
-        Cudd_RecursiveDeref(dd, E);
-        return(NULL);
-    }
-    }
-    cuddDeref(T);
-    cuddDeref(E);
-
-    /* Store result. */
-    cuddCacheInsert2(dd,addBddDoIthBit,f,index,res);
-
-    return(res);
-
-} /* end of addBddDoIthBit */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step for Cudd_BddToAdd.]
-
-  Description [Performs the recursive step for Cudd_BddToAdd. Returns a
-  pointer to the resulting ADD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static DdNode *
-ddBddToAddRecur(
-  DdManager * dd,
-  DdNode * B)
-{
-    DdNode *one;
-    DdNode *res, *res1, *T, *E, *Bt, *Be;
-    int complement = 0;
-
-    statLine(dd);
-    one = DD_ONE(dd);
-
-    if (Cudd_IsConstant(B)) {
-    if (B == one) {
-        res = one;
-    } else {
-        res = DD_ZERO(dd);
-    }
-    return(res);
-    }
-    /* Check visited table */
-    res = cuddCacheLookup1(dd,ddBddToAddRecur,B);
-    if (res != NULL) return(res);
-
-    if (Cudd_IsComplement(B)) {
-    complement = 1;
-    Bt = cuddT(Cudd_Regular(B));
-    Be = cuddE(Cudd_Regular(B));
-    } else {
-    Bt = cuddT(B);
-    Be = cuddE(B);
-    }
-
-    T = ddBddToAddRecur(dd, Bt);
-    if (T == NULL) return(NULL);
-    cuddRef(T);
-
-    E = ddBddToAddRecur(dd, Be);
-    if (E == NULL) {
-    Cudd_RecursiveDeref(dd, T);
-    return(NULL);
-    }
-    cuddRef(E);
-
-    /* No need to check for T == E, because it is guaranteed not to happen. */
-    res = cuddUniqueInter(dd, (int) Cudd_Regular(B)->index, T, E);
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd ,T);
-    Cudd_RecursiveDeref(dd ,E);
-    return(NULL);
-    }
-    cuddDeref(T);
-    cuddDeref(E);
-
-    if (complement) {
-    cuddRef(res);
-    res1 = cuddAddCmplRecur(dd, res);
-    if (res1 == NULL) {
-        Cudd_RecursiveDeref(dd, res);
-        return(NULL);
-    }
-    cuddRef(res1);
-    Cudd_RecursiveDeref(dd, res);
-    res = res1;
-    cuddDeref(res);
-    }
-
-    /* Store result. */
-    cuddCacheInsert1(dd,ddBddToAddRecur,B,res);
-
-    return(res);
-
-} /* end of ddBddToAddRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_bddTransfer.]
-
-  Description [Performs the recursive step of Cudd_bddTransfer.
-  Returns a pointer to the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddBddTransfer]
-
-******************************************************************************/
-static DdNode *
-cuddBddTransferRecur(
-  DdManager * ddS,
-  DdManager * ddD,
-  DdNode * f,
-  st_table * table)
-{
-    DdNode *ft, *fe, *t, *e, *var, *res;
-    DdNode *one, *zero;
-    int       index;
-    int    comple = 0;
-
-    statLine(ddD);
-    one = DD_ONE(ddD);
-    comple = Cudd_IsComplement(f);
-
-    /* Trivial cases. */
-    if (Cudd_IsConstant(f)) return(Cudd_NotCond(one, comple));
-
-    /* Make canonical to increase the utilization of the cache. */
-    f = Cudd_NotCond(f,comple);
-    /* Now f is a regular pointer to a non-constant node. */
-
-    /* Check the cache. */
-    if(st_lookup(table, (char *)f, (char **) &res))
-    return(Cudd_NotCond(res,comple));
-    
-    /* Recursive step. */
-    index = f->index;
-    ft = cuddT(f); fe = cuddE(f);
-
-    t = cuddBddTransferRecur(ddS, ddD, ft, table);
-    if (t == NULL) {
-        return(NULL);
-    }
-    cuddRef(t);
-
-    e = cuddBddTransferRecur(ddS, ddD, fe, table);
-    if (e == NULL) {
-        Cudd_RecursiveDeref(ddD, t);
-        return(NULL);
-    }
-    cuddRef(e);
-
-    zero = Cudd_Not(one);
-    var = cuddUniqueInter(ddD,index,one,zero);
-    if (var == NULL) {
-    Cudd_RecursiveDeref(ddD, t);
-    Cudd_RecursiveDeref(ddD, e);
-        return(NULL);
-    }
-    res = cuddBddIteRecur(ddD,var,t,e);
-    if (res == NULL) {
-    Cudd_RecursiveDeref(ddD, t);
-    Cudd_RecursiveDeref(ddD, e);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(ddD, t);
-    Cudd_RecursiveDeref(ddD, e);
-
-    if (st_add_direct(table, (char *) f, (char *) res) == ST_OUT_OF_MEM) {
-    Cudd_RecursiveDeref(ddD, res);
-    return(NULL);
-    }
-    return(Cudd_NotCond(res,comple));
-
-} /* end of cuddBddTransferRecur */
-
diff --git a/src/bdd/cudd/cuddCache.c b/src/bdd/cudd/cuddCache.c
deleted file mode 100644
index d9e40921..00000000
--- a/src/bdd/cudd/cuddCache.c
+++ /dev/null
@@ -1,1023 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddCache.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions for cache insertion and lookup.]
-
-  Description [Internal procedures included in this module:
-        <ul>
-        <li> cuddInitCache()
-        <li> cuddCacheInsert()
-        <li> cuddCacheInsert2()
-        <li> cuddCacheLookup()
-        <li> cuddCacheLookupZdd()
-        <li> cuddCacheLookup2()
-        <li> cuddCacheLookup2Zdd()
-        <li> cuddConstantLookup()
-        <li> cuddCacheProfile()
-        <li> cuddCacheResize()
-        <li> cuddCacheFlush()
-        <li> cuddComputeFloorLog2()
-        </ul>
-        Static procedures included in this module:
-        <ul>
-        </ul> ]
-
-  SeeAlso     []
-
-  Author      [Fabio Somenzi]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifdef DD_CACHE_PROFILE
-#define DD_HYSTO_BINS 8
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddCache.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Initializes the computed table.]
-
-  Description [Initializes the computed table. It is called by
-  Cudd_Init. Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_Init]
-
-******************************************************************************/
-int
-cuddInitCache(
-  DdManager * unique /* unique table */,
-  unsigned int cacheSize /* initial size of the cache */,
-  unsigned int maxCacheSize /* cache size beyond which no resizing occurs */)
-{
-    int i;
-    unsigned int logSize;
-#ifndef DD_CACHE_PROFILE
-    DdNodePtr *mem;
-    ptruint offset;
-#endif
-
-    /* Round cacheSize to largest power of 2 not greater than the requested
-    ** initial cache size. */
-    logSize = cuddComputeFloorLog2(ddMax(cacheSize,unique->slots/2));
-    cacheSize = 1 << logSize;
-    unique->acache = ALLOC(DdCache,cacheSize+1);
-    if (unique->acache == NULL) {
-    unique->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    /* If the size of the cache entry is a power of 2, we want to
-    ** enforce alignment to that power of two. This happens when
-    ** DD_CACHE_PROFILE is not defined. */
-#ifdef DD_CACHE_PROFILE
-    unique->cache = unique->acache;
-    unique->memused += (cacheSize) * sizeof(DdCache);
-#else
-    mem = (DdNodePtr *) unique->acache;
-    offset = (ptruint) mem & (sizeof(DdCache) - 1);
-    mem += (sizeof(DdCache) - offset) / sizeof(DdNodePtr);
-    unique->cache = (DdCache *) mem;
-    assert(((ptruint) unique->cache & (sizeof(DdCache) - 1)) == 0);
-    unique->memused += (cacheSize+1) * sizeof(DdCache);
-#endif
-    unique->cacheSlots = cacheSize;
-    unique->cacheShift = sizeof(int) * 8 - logSize;
-    unique->maxCacheHard = maxCacheSize;
-    /* If cacheSlack is non-negative, we can resize. */
-    unique->cacheSlack = (int) ddMin(maxCacheSize,
-    DD_MAX_CACHE_TO_SLOTS_RATIO*unique->slots) -
-    2 * (int) cacheSize;
-    Cudd_SetMinHit(unique,DD_MIN_HIT);
-    /* Initialize to avoid division by 0 and immediate resizing. */
-    unique->cacheMisses = (double) (int) (cacheSize * unique->minHit + 1);
-    unique->cacheHits = 0;
-    unique->totCachehits = 0;
-    /* The sum of cacheMisses and totCacheMisses is always correct,
-    ** even though cacheMisses is larger than it should for the reasons
-    ** explained above. */
-    unique->totCacheMisses = -unique->cacheMisses;
-    unique->cachecollisions = 0;
-    unique->cacheinserts = 0;
-    unique->cacheLastInserts = 0;
-    unique->cachedeletions = 0;
-
-    /* Initialize the cache */
-    for (i = 0; (unsigned) i < cacheSize; i++) {
-    unique->cache[i].h = 0; /* unused slots */
-    unique->cache[i].data = NULL; /* invalid entry */
-#ifdef DD_CACHE_PROFILE
-    unique->cache[i].count = 0;
-#endif
-    }
-
-    return(1);
-
-} /* end of cuddInitCache */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Inserts a result in the cache.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [cuddCacheInsert2 cuddCacheInsert1]
-
-******************************************************************************/
-void
-cuddCacheInsert(
-  DdManager * table,
-  ptruint op,
-  DdNode * f,
-  DdNode * g,
-  DdNode * h,
-  DdNode * data)
-{
-    int posn;
-    register DdCache *entry;
-    ptruint uf, ug, uh;
-
-    uf = (ptruint) f | (op & 0xe);
-    ug = (ptruint) g | (op >> 4);
-    uh = (ptruint) h;
-
-    posn = ddCHash2(uh,uf,ug,table->cacheShift);
-    entry = &table->cache[posn];
-
-    table->cachecollisions += entry->data != NULL;
-    table->cacheinserts++;
-
-    entry->f    = (DdNode *) uf;
-    entry->g    = (DdNode *) ug;
-    entry->h    = uh;
-    entry->data = data;
-#ifdef DD_CACHE_PROFILE
-    entry->count++;
-#endif
-
-} /* end of cuddCacheInsert */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Inserts a result in the cache for a function with two
-  operands.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [cuddCacheInsert cuddCacheInsert1]
-
-******************************************************************************/
-void
-cuddCacheInsert2(
-  DdManager * table,
-  DdNode * (*op)(DdManager *, DdNode *, DdNode *),
-  DdNode * f,
-  DdNode * g,
-  DdNode * data)
-{
-    int posn;
-    register DdCache *entry;
-
-    posn = ddCHash2(op,f,g,table->cacheShift);
-    entry = &table->cache[posn];
-
-    if (entry->data != NULL) {
-        table->cachecollisions++;
-    }
-    table->cacheinserts++;
-
-    entry->f = f;
-    entry->g = g;
-    entry->h = (ptruint) op;
-    entry->data = data;
-#ifdef DD_CACHE_PROFILE
-    entry->count++;
-#endif
-
-} /* end of cuddCacheInsert2 */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Inserts a result in the cache for a function with two
-  operands.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [cuddCacheInsert cuddCacheInsert2]
-
-******************************************************************************/
-void
-cuddCacheInsert1(
-  DdManager * table,
-  DdNode * (*op)(DdManager *, DdNode *),
-  DdNode * f,
-  DdNode * data)
-{
-    int posn;
-    register DdCache *entry;
-
-    posn = ddCHash2(op,f,f,table->cacheShift);
-    entry = &table->cache[posn];
-
-    if (entry->data != NULL) {
-        table->cachecollisions++;
-    }
-    table->cacheinserts++;
-
-    entry->f = f;
-    entry->g = f;
-    entry->h = (ptruint) op;
-    entry->data = data;
-#ifdef DD_CACHE_PROFILE
-    entry->count++;
-#endif
-
-} /* end of cuddCacheInsert1 */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Looks up in the cache for the result of op applied to f,
-  g, and h.]
-
-  Description [Returns the result if found; it returns NULL if no
-  result is found.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddCacheLookup2 cuddCacheLookup1]
-
-******************************************************************************/
-DdNode *
-cuddCacheLookup(
-  DdManager * table,
-  ptruint op,
-  DdNode * f,
-  DdNode * g,
-  DdNode * h)
-{
-    int posn;
-    DdCache *en,*cache;
-    DdNode *data;
-    ptruint uf, ug, uh;
-
-    uf = (ptruint) f | (op & 0xe);
-    ug = (ptruint) g | (op >> 4);
-    uh = (ptruint) h;
-
-    cache = table->cache;
-#ifdef DD_DEBUG
-    if (cache == NULL) {
-        return(NULL);
-    }
-#endif
-
-    posn = ddCHash2(uh,uf,ug,table->cacheShift);
-    en = &cache[posn];
-    if (en->data != NULL && en->f==(DdNodePtr)uf && en->g==(DdNodePtr)ug &&
-    en->h==uh) {
-    data = Cudd_Regular(en->data);
-    table->cacheHits++;
-    if (data->ref == 0) {
-        cuddReclaim(table,data);
-    }
-    return(en->data);
-    }
-
-    /* Cache miss: decide whether to resize. */
-    table->cacheMisses++;
-
-    if (table->cacheSlack >= 0 &&
-    table->cacheHits > table->cacheMisses * table->minHit) {
-    cuddCacheResize(table);
-    }
-
-    return(NULL);
-
-} /* end of cuddCacheLookup */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Looks up in the cache for the result of op applied to f,
-  g, and h.]
-
-  Description [Returns the result if found; it returns NULL if no
-  result is found.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddCacheLookup2Zdd cuddCacheLookup1Zdd]
-
-******************************************************************************/
-DdNode *
-cuddCacheLookupZdd(
-  DdManager * table,
-  ptruint op,
-  DdNode * f,
-  DdNode * g,
-  DdNode * h)
-{
-    int posn;
-    DdCache *en,*cache;
-    DdNode *data;
-    ptruint uf, ug, uh;
-
-    uf = (ptruint) f | (op & 0xe);
-    ug = (ptruint) g | (op >> 4);
-    uh = (ptruint) h;
-
-    cache = table->cache;
-#ifdef DD_DEBUG
-    if (cache == NULL) {
-        return(NULL);
-    }
-#endif
-
-    posn = ddCHash2(uh,uf,ug,table->cacheShift);
-    en = &cache[posn];
-    if (en->data != NULL && en->f==(DdNodePtr)uf && en->g==(DdNodePtr)ug &&
-    en->h==uh) {
-    data = Cudd_Regular(en->data);
-    table->cacheHits++;
-    if (data->ref == 0) {
-        cuddReclaimZdd(table,data);
-    }
-    return(en->data);
-    }
-
-    /* Cache miss: decide whether to resize. */
-    table->cacheMisses++;
-
-    if (table->cacheSlack >= 0 &&
-    table->cacheHits > table->cacheMisses * table->minHit) {
-    cuddCacheResize(table);
-    }
-
-    return(NULL);
-
-} /* end of cuddCacheLookupZdd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Looks up in the cache for the result of op applied to f
-  and g.]
-
-  Description [Returns the result if found; it returns NULL if no
-  result is found.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddCacheLookup cuddCacheLookup1]
-
-******************************************************************************/
-DdNode *
-cuddCacheLookup2(
-  DdManager * table,
-  DdNode * (*op)(DdManager *, DdNode *, DdNode *),
-  DdNode * f,
-  DdNode * g)
-{
-    int posn;
-    DdCache *en,*cache;
-    DdNode *data;
-
-    cache = table->cache;
-#ifdef DD_DEBUG
-    if (cache == NULL) {
-        return(NULL);
-    }
-#endif
-
-    posn = ddCHash2(op,f,g,table->cacheShift);
-    en = &cache[posn];
-    if (en->data != NULL && en->f==f && en->g==g && en->h==(ptruint)op) {
-    data = Cudd_Regular(en->data);
-    table->cacheHits++;
-    if (data->ref == 0) {
-        cuddReclaim(table,data);
-    }
-    return(en->data);
-    }
-
-    /* Cache miss: decide whether to resize. */
-    table->cacheMisses++;
-
-    if (table->cacheSlack >= 0 &&
-    table->cacheHits > table->cacheMisses * table->minHit) {
-    cuddCacheResize(table);
-    }
-
-    return(NULL);
-
-} /* end of cuddCacheLookup2 */
-
-
-/**Function********************************************************************
-
-  Synopsis [Looks up in the cache for the result of op applied to f.]
-
-  Description [Returns the result if found; it returns NULL if no
-  result is found.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddCacheLookup cuddCacheLookup2]
-
-******************************************************************************/
-DdNode *
-cuddCacheLookup1(
-  DdManager * table,
-  DdNode * (*op)(DdManager *, DdNode *),
-  DdNode * f)
-{
-    int posn;
-    DdCache *en,*cache;
-    DdNode *data;
-
-    cache = table->cache;
-#ifdef DD_DEBUG
-    if (cache == NULL) {
-        return(NULL);
-    }
-#endif
-
-    posn = ddCHash2(op,f,f,table->cacheShift);
-    en = &cache[posn];
-    if (en->data != NULL && en->f==f && en->h==(ptruint)op) {
-    data = Cudd_Regular(en->data);
-    table->cacheHits++;
-    if (data->ref == 0) {
-        cuddReclaim(table,data);
-    }
-    return(en->data);
-    }
-
-    /* Cache miss: decide whether to resize. */
-    table->cacheMisses++;
-
-    if (table->cacheSlack >= 0 &&
-    table->cacheHits > table->cacheMisses * table->minHit) {
-    cuddCacheResize(table);
-    }
-
-    return(NULL);
-
-} /* end of cuddCacheLookup1 */
-
-
-/**Function********************************************************************
-
-  Synopsis [Looks up in the cache for the result of op applied to f
-  and g.]
-
-  Description [Returns the result if found; it returns NULL if no
-  result is found.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddCacheLookupZdd cuddCacheLookup1Zdd]
-
-******************************************************************************/
-DdNode *
-cuddCacheLookup2Zdd(
-  DdManager * table,
-  DdNode * (*op)(DdManager *, DdNode *, DdNode *),
-  DdNode * f,
-  DdNode * g)
-{
-    int posn;
-    DdCache *en,*cache;
-    DdNode *data;
-
-    cache = table->cache;
-#ifdef DD_DEBUG
-    if (cache == NULL) {
-        return(NULL);
-    }
-#endif
-
-    posn = ddCHash2(op,f,g,table->cacheShift);
-    en = &cache[posn];
-    if (en->data != NULL && en->f==f && en->g==g && en->h==(ptruint)op) {
-    data = Cudd_Regular(en->data);
-    table->cacheHits++;
-    if (data->ref == 0) {
-        cuddReclaimZdd(table,data);
-    }
-    return(en->data);
-    }
-
-    /* Cache miss: decide whether to resize. */
-    table->cacheMisses++;
-
-    if (table->cacheSlack >= 0 &&
-    table->cacheHits > table->cacheMisses * table->minHit) {
-    cuddCacheResize(table);
-    }
-
-    return(NULL);
-
-} /* end of cuddCacheLookup2Zdd */
-
-
-/**Function********************************************************************
-
-  Synopsis [Looks up in the cache for the result of op applied to f.]
-
-  Description [Returns the result if found; it returns NULL if no
-  result is found.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddCacheLookupZdd cuddCacheLookup2Zdd]
-
-******************************************************************************/
-DdNode *
-cuddCacheLookup1Zdd(
-  DdManager * table,
-  DdNode * (*op)(DdManager *, DdNode *),
-  DdNode * f)
-{
-    int posn;
-    DdCache *en,*cache;
-    DdNode *data;
-
-    cache = table->cache;
-#ifdef DD_DEBUG
-    if (cache == NULL) {
-        return(NULL);
-    }
-#endif
-
-    posn = ddCHash2(op,f,f,table->cacheShift);
-    en = &cache[posn];
-    if (en->data != NULL && en->f==f && en->h==(ptruint)op) {
-    data = Cudd_Regular(en->data);
-    table->cacheHits++;
-    if (data->ref == 0) {
-        cuddReclaimZdd(table,data);
-    }
-    return(en->data);
-    }
-
-    /* Cache miss: decide whether to resize. */
-    table->cacheMisses++;
-
-    if (table->cacheSlack >= 0  &&
-    table->cacheHits > table->cacheMisses * table->minHit) {
-    cuddCacheResize(table);
-    }
-
-    return(NULL);
-
-} /* end of cuddCacheLookup1Zdd */
-
-
-/**Function********************************************************************
-
-  Synopsis [Looks up in the cache for the result of op applied to f,
-  g, and h.]
-
-  Description [Looks up in the cache for the result of op applied to f,
-  g, and h. Assumes that the calling procedure (e.g.,
-  Cudd_bddIteConstant) is only interested in whether the result is
-  constant or not. Returns the result if found (possibly
-  DD_NON_CONSTANT); otherwise it returns NULL.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddCacheLookup]
-
-******************************************************************************/
-DdNode *
-cuddConstantLookup(
-  DdManager * table,
-  ptruint op,
-  DdNode * f,
-  DdNode * g,
-  DdNode * h)
-{
-    int posn;
-    DdCache *en,*cache;
-    ptruint uf, ug, uh;
-
-    uf = (ptruint) f | (op & 0xe);
-    ug = (ptruint) g | (op >> 4);
-    uh = (ptruint) h;
-
-    cache = table->cache;
-#ifdef DD_DEBUG
-    if (cache == NULL) {
-        return(NULL);
-    }
-#endif
-    posn = ddCHash2(uh,uf,ug,table->cacheShift);
-    en = &cache[posn];
-
-    /* We do not reclaim here because the result should not be
-     * referenced, but only tested for being a constant.
-     */
-    if (en->data != NULL &&
-    en->f == (DdNodePtr)uf && en->g == (DdNodePtr)ug && en->h == uh) {
-    table->cacheHits++;
-        return(en->data);
-    }
-
-    /* Cache miss: decide whether to resize. */
-    table->cacheMisses++;
-
-    if (table->cacheSlack >= 0 &&
-    table->cacheHits > table->cacheMisses * table->minHit) {
-    cuddCacheResize(table);
-    }
-
-    return(NULL);
-
-} /* end of cuddConstantLookup */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes and prints a profile of the cache usage.]
-
-  Description [Computes and prints a profile of the cache usage.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddCacheProfile(
-  DdManager * table,
-  FILE * fp)
-{
-    DdCache *cache = table->cache;
-    int slots = table->cacheSlots;
-    int nzeroes = 0;
-    int i, retval;
-    double exUsed;
-
-#ifdef DD_CACHE_PROFILE
-    double count, mean, meansq, stddev, expected;
-    long max, min;
-    int imax, imin;
-    double *hystogramQ, *hystogramR; /* histograms by quotient and remainder */
-    int nbins = DD_HYSTO_BINS;
-    int bin;
-    long thiscount;
-    double totalcount, exStddev;
-
-    meansq = mean = expected = 0.0;
-    max = min = (long) cache[0].count;
-    imax = imin = 0;
-    totalcount = 0.0;
-
-    hystogramQ = ALLOC(double, nbins);
-    if (hystogramQ == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    hystogramR = ALLOC(double, nbins);
-    if (hystogramR == NULL) {
-    FREE(hystogramQ);
-    table->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    for (i = 0; i < nbins; i++) {
-    hystogramQ[i] = 0;
-    hystogramR[i] = 0;
-    }
-
-    for (i = 0; i < slots; i++) {
-    thiscount = (long) cache[i].count;
-    if (thiscount > max) {
-        max = thiscount;
-        imax = i;
-    }
-    if (thiscount < min) {
-        min = thiscount;
-        imin = i;
-    }
-    if (thiscount == 0) {
-        nzeroes++;
-    }
-    count = (double) thiscount;
-    mean += count;
-    meansq += count * count;
-    totalcount += count;
-    expected += count * (double) i;
-    bin = (i * nbins) / slots;
-    hystogramQ[bin] += (double) thiscount;
-    bin = i % nbins;
-    hystogramR[bin] += (double) thiscount;
-    }
-    mean /= (double) slots;
-    meansq /= (double) slots;
-    
-    /* Compute the standard deviation from both the data and the
-    ** theoretical model for a random distribution. */
-    stddev = sqrt(meansq - mean*mean);
-    exStddev = sqrt((1 - 1/(double) slots) * totalcount / (double) slots);
-
-    retval = fprintf(fp,"Cache average accesses = %g\n",  mean);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Cache access standard deviation = %g ", stddev);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"(expected = %g)\n", exStddev);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Cache max accesses = %ld for slot %d\n", max, imax);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Cache min accesses = %ld for slot %d\n", min, imin);
-    if (retval == EOF) return(0);
-    exUsed = 100.0 * (1.0 - exp(-totalcount / (double) slots));
-    retval = fprintf(fp,"Cache used slots = %.2f%% (expected %.2f%%)\n",
-             100.0 - (double) nzeroes * 100.0 / (double) slots,
-             exUsed);
-    if (retval == EOF) return(0);
-
-    if (totalcount > 0) {
-    expected /= totalcount;
-    retval = fprintf(fp,"Cache access hystogram for %d bins", nbins);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp," (expected bin value = %g)\nBy quotient:",
-             expected);
-    if (retval == EOF) return(0);
-    for (i = nbins - 1; i>=0; i--) {
-        retval = fprintf(fp," %.0f", hystogramQ[i]);
-        if (retval == EOF) return(0);
-    }
-    retval = fprintf(fp,"\nBy residue: ");
-    if (retval == EOF) return(0);
-    for (i = nbins - 1; i>=0; i--) {
-        retval = fprintf(fp," %.0f", hystogramR[i]);
-        if (retval == EOF) return(0);
-    }
-    retval = fprintf(fp,"\n");
-    if (retval == EOF) return(0);
-    }
-
-    FREE(hystogramQ);
-    FREE(hystogramR);
-#else
-    for (i = 0; i < slots; i++) {
-    nzeroes += cache[i].h == 0;
-    }
-    exUsed = 100.0 *
-    (1.0 - exp(-(table->cacheinserts - table->cacheLastInserts) /
-           (double) slots));
-    retval = fprintf(fp,"Cache used slots = %.2f%% (expected %.2f%%)\n",
-             100.0 - (double) nzeroes * 100.0 / (double) slots,
-             exUsed);
-    if (retval == EOF) return(0);
-#endif
-    return(1);
-
-} /* end of cuddCacheProfile */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Resizes the cache.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-cuddCacheResize(
-  DdManager * table)
-{
-    DdCache *cache, *oldcache, *oldacache, *entry, *old;
-    int i;
-    int posn, shift;
-    unsigned int slots, oldslots;
-    double offset;
-    int moved = 0;
-    extern void (*MMoutOfMemory)(long);
-    void (*saveHandler)(long);
-#ifndef DD_CACHE_PROFILE
-    ptruint misalignment;
-    DdNodePtr *mem;
-#endif
-
-    oldcache = table->cache;
-    oldacache = table->acache;
-    oldslots = table->cacheSlots;
-    slots = table->cacheSlots = oldslots << 1;
-
-#ifdef DD_VERBOSE
-    (void) fprintf(table->err,"Resizing the cache from %d to %d entries\n",
-           oldslots, slots);
-    (void) fprintf(table->err,
-           "\thits = %g\tmisses = %g\thit ratio = %5.3f\n",
-           table->cacheHits, table->cacheMisses,
-           table->cacheHits / (table->cacheHits + table->cacheMisses));
-#endif
-
-    saveHandler = MMoutOfMemory;
-    MMoutOfMemory = Cudd_OutOfMem;
-    table->acache = cache = ALLOC(DdCache,slots+1);
-    MMoutOfMemory = saveHandler;
-    /* If we fail to allocate the new table we just give up. */
-    if (cache == NULL) {
-#ifdef DD_VERBOSE
-    (void) fprintf(table->err,"Resizing failed. Giving up.\n");
-#endif
-    table->cacheSlots = oldslots;
-    table->acache = oldacache;
-    /* Do not try to resize again. */
-    table->maxCacheHard = oldslots - 1;
-    table->cacheSlack = - (oldslots + 1);
-    return;
-    }
-    /* If the size of the cache entry is a power of 2, we want to
-    ** enforce alignment to that power of two. This happens when
-    ** DD_CACHE_PROFILE is not defined. */
-#ifdef DD_CACHE_PROFILE
-    table->cache = cache;
-#else
-    mem = (DdNodePtr *) cache;
-    misalignment = (ptruint) mem & (sizeof(DdCache) - 1);
-    mem += (sizeof(DdCache) - misalignment) / sizeof(DdNodePtr);
-    table->cache = cache = (DdCache *) mem;
-    assert(((ptruint) table->cache & (sizeof(DdCache) - 1)) == 0);
-#endif
-    shift = --(table->cacheShift);
-    table->memused += (slots - oldslots) * sizeof(DdCache);
-    table->cacheSlack -= slots; /* need these many slots to double again */
-
-    /* Clear new cache. */
-    for (i = 0; (unsigned) i < slots; i++) {
-    cache[i].data = NULL;
-    cache[i].h = 0;
-#ifdef DD_CACHE_PROFILE
-    cache[i].count = 0;
-#endif
-    }
-
-    /* Copy from old cache to new one. */
-    for (i = 0; (unsigned) i < oldslots; i++) {
-    old = &oldcache[i];
-    if (old->data != NULL) {
-        posn = ddCHash2(old->h,old->f,old->g,shift);
-        entry = &cache[posn];
-        entry->f = old->f;
-        entry->g = old->g;
-        entry->h = old->h;
-        entry->data = old->data;    
-#ifdef DD_CACHE_PROFILE
-        entry->count = 1;
-#endif
-        moved++;
-    }
-    }
-
-    FREE(oldacache);
-
-    /* Reinitialize measurements so as to avoid division by 0 and
-    ** immediate resizing.
-    */
-    offset = (double) (int) (slots * table->minHit + 1);
-    table->totCacheMisses += table->cacheMisses - offset;
-    table->cacheMisses = offset;
-    table->totCachehits += table->cacheHits;
-    table->cacheHits = 0;
-    table->cacheLastInserts = table->cacheinserts - (double) moved;
-
-} /* end of cuddCacheResize */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Flushes the cache.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-cuddCacheFlush(
-  DdManager * table)
-{
-    int i, slots;
-    DdCache *cache;
-
-    slots = table->cacheSlots;
-    cache = table->cache;
-    for (i = 0; i < slots; i++) {
-    table->cachedeletions += cache[i].data != NULL;
-    cache[i].data = NULL;
-    }
-    table->cacheLastInserts = table->cacheinserts;
-
-    return;
-
-} /* end of cuddCacheFlush */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the floor of the logarithm to the base 2.]
-
-  Description [Returns the floor of the logarithm to the base 2.
-  The input value is assumed to be greater than 0.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddComputeFloorLog2(
-  unsigned int value)
-{
-    int floorLog = 0;
-#ifdef DD_DEBUG
-    assert(value > 0);
-#endif
-    while (value > 1) {
-    floorLog++;
-    value >>= 1;
-    }
-    return(floorLog);
-
-} /* end of cuddComputeFloorLog2 */
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
diff --git a/src/bdd/cudd/cuddCheck.c b/src/bdd/cudd/cuddCheck.c
deleted file mode 100644
index aec8246d..00000000
--- a/src/bdd/cudd/cuddCheck.c
+++ /dev/null
@@ -1,851 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddCheck.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions to check consistency of data structures.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_DebugCheck()
-        <li> Cudd_CheckKeys()
-        </ul>
-           Internal procedures included in this module:
-        <ul>
-        <li> cuddHeapProfile()
-        <li> cuddPrintNode()
-        <li> cuddPrintVarGroups()
-        </ul>
-           Static procedures included in this module:
-        <ul>
-        <li> debugFindParent()
-        </ul>
-        ]
-
-  SeeAlso     []
-
-  Author      [Fabio Somenzi]
-
-  Copyright [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddCheck.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static void debugFindParent ARGS((DdManager *table, DdNode *node));
-#if 0
-static void debugCheckParent ARGS((DdManager *table, DdNode *node));
-#endif
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks for inconsistencies in the DD heap.]
-
-  Description [Checks for inconsistencies in the DD heap:
-  <ul>
-  <li> node has illegal index
-  <li> live node has dead children
-  <li> node has illegal Then or Else pointers
-  <li> BDD/ADD node has identical children
-  <li> ZDD node has zero then child
-  <li> wrong number of total nodes
-  <li> wrong number of dead nodes
-  <li> ref count error at node
-  </ul>
-  Returns 0 if no inconsistencies are found; DD_OUT_OF_MEM if there is
-  not enough memory; 1 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_CheckKeys]
-
-******************************************************************************/
-int
-Cudd_DebugCheck(
-  DdManager * table)
-{
-    unsigned int i;
-    int        j,count;
-    int        slots;
-    DdNodePtr    *nodelist;
-    DdNode    *f;
-    DdNode    *sentinel = &(table->sentinel);
-    st_table    *edgeTable;    /* stores internal ref count for each node */
-    st_generator    *gen;
-    int        flag = 0;
-    int        totalNode;
-    int        deadNode;
-    int        index;
-    
-
-    edgeTable = st_init_table(st_ptrcmp,st_ptrhash);
-    if (edgeTable == NULL) return(CUDD_OUT_OF_MEM);
-
-    /* Check the BDD/ADD subtables. */
-    for (i = 0; i < (unsigned) table->size; i++) {
-    index = table->invperm[i];
-    if (i != (unsigned) table->perm[index]) {
-        (void) fprintf(table->err,
-               "Permutation corrupted: invperm[%d] = %d\t perm[%d] = %d\n",
-               i, index, index, table->perm[index]);
-    }
-    nodelist = table->subtables[i].nodelist;
-    slots = table->subtables[i].slots;
-
-    totalNode = 0;
-    deadNode = 0;
-    for (j = 0; j < slots; j++) {    /* for each subtable slot */
-        f = nodelist[j];
-        while (f != sentinel) {
-        totalNode++;
-        if (cuddT(f) != NULL && cuddE(f) != NULL && f->ref != 0) { 
-            if ((int) f->index != index) {
-            (void) fprintf(table->err,
-                       "Error: node has illegal index\n");
-            cuddPrintNode(f,table->err);
-            flag = 1;
-            }
-            if ((unsigned) cuddI(table,cuddT(f)->index) <= i ||
-            (unsigned) cuddI(table,Cudd_Regular(cuddE(f))->index)
-            <= i) {
-            (void) fprintf(table->err,
-                       "Error: node has illegal children\n");
-            cuddPrintNode(f,table->err);
-            flag = 1;
-            }
-            if (Cudd_Regular(cuddT(f)) != cuddT(f)) {
-            (void) fprintf(table->err,
-                       "Error: node has illegal form\n");
-            cuddPrintNode(f,table->err);
-            flag = 1;
-            }
-            if (cuddT(f) == cuddE(f)) {
-            (void) fprintf(table->err,
-                       "Error: node has identical children\n");
-            cuddPrintNode(f,table->err);
-            flag = 1;
-            }
-            if (cuddT(f)->ref == 0 || Cudd_Regular(cuddE(f))->ref == 0) {
-            (void) fprintf(table->err,
-                       "Error: live node has dead children\n");
-            cuddPrintNode(f,table->err);
-            flag =1;
-            }
-            /* Increment the internal reference count for the
-            ** then child of the current node.
-            */
-            if (st_lookup(edgeTable,(char *)cuddT(f),(char **)&count)) {
-            count++;
-            } else {
-            count = 1;
-            }
-            if (st_insert(edgeTable,(char *)cuddT(f),
-            (char *)(long)count) == ST_OUT_OF_MEM) {
-            st_free_table(edgeTable);
-            return(CUDD_OUT_OF_MEM);
-            }
-        
-            /* Increment the internal reference count for the
-            ** else child of the current node.
-            */
-            if (st_lookup(edgeTable,(char *)Cudd_Regular(cuddE(f)),(char **)&count)) {
-            count++;
-            } else {
-            count = 1;
-            }
-            if (st_insert(edgeTable,(char *)Cudd_Regular(cuddE(f)),
-            (char *)(long)count) == ST_OUT_OF_MEM) {
-            st_free_table(edgeTable);
-            return(CUDD_OUT_OF_MEM);
-            }
-        } else if (cuddT(f) != NULL && cuddE(f) != NULL && f->ref == 0) {
-            deadNode++;
-#if 0
-            debugCheckParent(table,f);
-#endif
-        } else {
-            fprintf(table->err,
-                "Error: node has illegal Then or Else pointers\n");
-            cuddPrintNode(f,table->err);
-            flag = 1;
-        }
-
-        f = f->next;
-        }    /* for each element of the collision list */
-    }    /* for each subtable slot */
-
-    if ((unsigned) totalNode != table->subtables[i].keys) {
-        fprintf(table->err,"Error: wrong number of total nodes\n");
-        flag = 1;
-    }
-    if ((unsigned) deadNode != table->subtables[i].dead) {
-        fprintf(table->err,"Error: wrong number of dead nodes\n");
-        flag = 1;
-    }
-    }    /* for each BDD/ADD subtable */
-
-    /* Check the ZDD subtables. */
-    for (i = 0; i < (unsigned) table->sizeZ; i++) {
-    index = table->invpermZ[i];
-    if (i != (unsigned) table->permZ[index]) {
-        (void) fprintf(table->err,
-               "Permutation corrupted: invpermZ[%d] = %d\t permZ[%d] = %d in ZDD\n",
-               i, index, index, table->permZ[index]);
-    }
-    nodelist = table->subtableZ[i].nodelist;
-    slots = table->subtableZ[i].slots;
-
-    totalNode = 0;
-    deadNode = 0;
-    for (j = 0; j < slots; j++) {    /* for each subtable slot */
-        f = nodelist[j];
-        while (f != NULL) {
-        totalNode++;
-        if (cuddT(f) != NULL && cuddE(f) != NULL && f->ref != 0) { 
-            if ((int) f->index != index) {
-            (void) fprintf(table->err,
-                       "Error: ZDD node has illegal index\n");
-            cuddPrintNode(f,table->err);
-            flag = 1;
-            }
-            if (Cudd_IsComplement(cuddT(f)) ||
-            Cudd_IsComplement(cuddE(f))) {
-            (void) fprintf(table->err,
-                       "Error: ZDD node has complemented children\n");
-            cuddPrintNode(f,table->err);
-            flag = 1;
-            }
-            if ((unsigned) cuddIZ(table,cuddT(f)->index) <= i ||
-            (unsigned) cuddIZ(table,cuddE(f)->index) <= i) {
-            (void) fprintf(table->err,
-                       "Error: ZDD node has illegal children\n");
-            cuddPrintNode(f,table->err);
-            cuddPrintNode(cuddT(f),table->err);
-            cuddPrintNode(cuddE(f),table->err);
-            flag = 1;
-            }
-            if (cuddT(f) == DD_ZERO(table)) {
-            (void) fprintf(table->err,
-                       "Error: ZDD node has zero then child\n");
-            cuddPrintNode(f,table->err);
-            flag = 1;
-            }
-            if (cuddT(f)->ref == 0 || cuddE(f)->ref == 0) {
-            (void) fprintf(table->err,
-                       "Error: ZDD live node has dead children\n");
-            cuddPrintNode(f,table->err);
-            flag =1;
-            }
-            /* Increment the internal reference count for the
-            ** then child of the current node.
-            */
-            if (st_lookup(edgeTable,(char *)cuddT(f),(char **)&count)) {
-            count++;
-            } else {
-            count = 1;
-            }
-            if (st_insert(edgeTable,(char *)cuddT(f),
-            (char *)(long)count) == ST_OUT_OF_MEM) {
-            st_free_table(edgeTable);
-            return(CUDD_OUT_OF_MEM);
-            }
-        
-            /* Increment the internal reference count for the
-            ** else child of the current node.
-            */
-            if (st_lookup(edgeTable,(char *)cuddE(f),(char **)&count)) {
-            count++;
-            } else {
-            count = 1;
-            }
-            if (st_insert(edgeTable,(char *)cuddE(f),
-            (char *)(long)count) == ST_OUT_OF_MEM) {
-            st_free_table(edgeTable);
-            table->errorCode = CUDD_MEMORY_OUT;
-            return(CUDD_OUT_OF_MEM);
-            }
-        } else if (cuddT(f) != NULL && cuddE(f) != NULL && f->ref == 0) {
-            deadNode++;
-#if 0
-            debugCheckParent(table,f);
-#endif
-        } else {
-            fprintf(table->err,
-                "Error: ZDD node has illegal Then or Else pointers\n");
-            cuddPrintNode(f,table->err);
-            flag = 1;
-        }
-
-        f = f->next;
-        }    /* for each element of the collision list */
-    }    /* for each subtable slot */
-
-    if ((unsigned) totalNode != table->subtableZ[i].keys) {
-        fprintf(table->err,
-            "Error: wrong number of total nodes in ZDD\n");
-        flag = 1;
-    }
-    if ((unsigned) deadNode != table->subtableZ[i].dead) {
-        fprintf(table->err,
-            "Error: wrong number of dead nodes in ZDD\n");
-        flag = 1;
-    }
-    }    /* for each ZDD subtable */
-
-    /* Check the constant table. */
-    nodelist = table->constants.nodelist;
-    slots = table->constants.slots;
-
-    totalNode = 0;
-    deadNode = 0;
-    for (j = 0; j < slots; j++) {
-    f = nodelist[j];
-    while (f != NULL) {
-        totalNode++;
-        if (f->ref != 0) { 
-        if (f->index != CUDD_CONST_INDEX) {
-            fprintf(table->err,"Error: node has illegal index\n");
-#if SIZEOF_VOID_P == 8
-            fprintf(table->err,
-                "       node 0x%lx, id = %d, ref = %d, value = %g\n",
-                (unsigned long)f,f->index,f->ref,cuddV(f));
-#else
-            fprintf(table->err,
-                "       node 0x%x, id = %d, ref = %d, value = %g\n",
-                (unsigned)f,f->index,f->ref,cuddV(f));
-#endif
-            flag = 1;
-        }
-        } else {
-        deadNode++;
-        }
-        f = f->next;
-    }
-    }
-    if ((unsigned) totalNode != table->constants.keys) {
-    (void) fprintf(table->err,
-               "Error: wrong number of total nodes in constants\n");
-    flag = 1;
-    }
-    if ((unsigned) deadNode != table->constants.dead) {
-    (void) fprintf(table->err,
-               "Error: wrong number of dead nodes in constants\n");
-    flag = 1;
-    }
-    gen = st_init_gen(edgeTable);
-    while (st_gen(gen,(char **)&f,(char **)&count)) {
-    if (count > (int)(f->ref) && f->ref != DD_MAXREF) {
-#if SIZEOF_VOID_P == 8
-        fprintf(table->err,"ref count error at node 0x%lx, count = %d, id = %d, ref = %d, then = 0x%lx, else = 0x%lx\n",(unsigned long)f,count,f->index,f->ref,(unsigned long)cuddT(f),(unsigned long)cuddE(f));
-#else
-        fprintf(table->err,"ref count error at node 0x%x, count = %d, id = %d, ref = %d, then = 0x%x, else = 0x%x\n",(unsigned)f,count,f->index,f->ref,(unsigned)cuddT(f),(unsigned)cuddE(f));
-#endif
-        debugFindParent(table,f);
-        flag = 1;
-    }
-    }
-    st_free_gen(gen);
-    st_free_table(edgeTable);
-
-    return (flag);
-
-} /* end of Cudd_DebugCheck */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks for several conditions that should not occur.]
-
-  Description [Checks for the following conditions:
-  <ul>
-  <li>Wrong sizes of subtables.
-  <li>Wrong number of keys found in unique subtable.
-  <li>Wrong number of dead found in unique subtable.
-  <li>Wrong number of keys found in the constant table
-  <li>Wrong number of dead found in the constant table
-  <li>Wrong number of total slots found
-  <li>Wrong number of maximum keys found
-  <li>Wrong number of total dead found
-  </ul>
-  Reports the average length of non-empty lists. Returns the number of
-  subtables for which the number of keys is wrong.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DebugCheck]
-
-******************************************************************************/
-int
-Cudd_CheckKeys(
-  DdManager * table)
-{
-    int size;
-    int i,j;
-    DdNodePtr *nodelist;
-    DdNode *node;
-    DdNode *sentinel = &(table->sentinel);
-    DdSubtable *subtable;
-    int keys;
-    int dead;
-    int count = 0;
-    int totalKeys = 0;
-    int totalSlots = 0;
-    int totalDead = 0;
-    int nonEmpty = 0;
-    unsigned int slots;
-    int logSlots;
-    int shift;
-
-    size = table->size;
-
-    for (i = 0; i < size; i++) {
-    subtable = &(table->subtables[i]);
-    nodelist = subtable->nodelist;
-    keys = subtable->keys;
-    dead = subtable->dead;
-    totalKeys += keys;
-    slots = subtable->slots;
-    shift = subtable->shift;
-    logSlots = sizeof(int) * 8 - shift;
-    if (((slots >> logSlots) << logSlots) != slots) {
-        (void) fprintf(table->err,
-               "Unique table %d is not the right power of 2\n", i);
-        (void) fprintf(table->err,
-               "    slots = %u shift = %d\n", slots, shift);
-    }
-    totalSlots += slots;
-    totalDead += dead;
-    for (j = 0; (unsigned) j < slots; j++) {
-        node = nodelist[j];
-        if (node != sentinel) {
-        nonEmpty++;
-        }
-        while (node != sentinel) {
-        keys--;
-        if (node->ref == 0) {
-            dead--;
-        }
-        node = node->next;
-        }
-    }
-    if (keys != 0) {
-        (void) fprintf(table->err, "Wrong number of keys found \
-in unique table %d (difference=%d)\n", i, keys);
-        count++;
-    }
-    if (dead != 0) {
-        (void) fprintf(table->err, "Wrong number of dead found \
-in unique table no. %d (difference=%d)\n", i, dead);
-    }
-    }    /* for each BDD/ADD subtable */
-
-    /* Check the ZDD subtables. */
-    size = table->sizeZ;
-
-    for (i = 0; i < size; i++) {
-    subtable = &(table->subtableZ[i]);
-    nodelist = subtable->nodelist;
-    keys = subtable->keys;
-    dead = subtable->dead;
-    totalKeys += keys;
-    totalSlots += subtable->slots;
-    totalDead += dead;
-    for (j = 0; (unsigned) j < subtable->slots; j++) {
-        node = nodelist[j];
-        if (node != NULL) {
-        nonEmpty++;
-        }
-        while (node != NULL) {
-        keys--;
-        if (node->ref == 0) {
-            dead--;
-        }
-        node = node->next;
-        }
-    }
-    if (keys != 0) {
-        (void) fprintf(table->err, "Wrong number of keys found \
-in ZDD unique table no. %d (difference=%d)\n", i, keys);
-        count++;
-    }
-    if (dead != 0) {
-        (void) fprintf(table->err, "Wrong number of dead found \
-in ZDD unique table no. %d (difference=%d)\n", i, dead);
-    }
-    }    /* for each ZDD subtable */
-
-    /* Check the constant table. */
-    subtable = &(table->constants);
-    nodelist = subtable->nodelist;
-    keys = subtable->keys;
-    dead = subtable->dead;
-    totalKeys += keys;
-    totalSlots += subtable->slots;
-    totalDead += dead;
-    for (j = 0; (unsigned) j < subtable->slots; j++) {
-    node = nodelist[j];
-    if (node != NULL) {
-        nonEmpty++;
-    }
-    while (node != NULL) {
-        keys--;
-        if (node->ref == 0) {
-        dead--;
-        }
-        node = node->next;
-    }
-    }
-    if (keys != 0) {
-    (void) fprintf(table->err, "Wrong number of keys found \
-in the constant table (difference=%d)\n", keys);
-    count++;
-    }
-    if (dead != 0) {
-    (void) fprintf(table->err, "Wrong number of dead found \
-in the constant table (difference=%d)\n", dead);
-    }
-    if ((unsigned) totalKeys != table->keys + table->keysZ) {
-    (void) fprintf(table->err, "Wrong number of total keys found \
-(difference=%d)\n", totalKeys-table->keys);
-    }
-    if ((unsigned) totalSlots != table->slots) {
-    (void) fprintf(table->err, "Wrong number of total slots found \
-(difference=%d)\n", totalSlots-table->slots);
-    }
-    if (table->minDead != (unsigned) (table->gcFrac * table->slots)) {
-    (void) fprintf(table->err, "Wrong number of minimum dead found \
-(%d vs. %d)\n", table->minDead,
-    (unsigned) (table->gcFrac * (double) table->slots));
-    }
-    if ((unsigned) totalDead != table->dead + table->deadZ) {
-    (void) fprintf(table->err, "Wrong number of total dead found \
-(difference=%d)\n", totalDead-table->dead);
-    }
-    (void)printf("Average length of non-empty lists = %g\n",
-    (double) table->keys / (double) nonEmpty);
-
-    return(count);
-
-} /* end of Cudd_CheckKeys */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints information about the heap.]
-
-  Description [Prints to the manager's stdout the number of live nodes for each
-  level of the DD heap that contains at least one live node.  It also
-  prints a summary containing:
-  <ul>
-  <li> total number of tables;
-  <li> number of tables with live nodes;
-  <li> table with the largest number of live nodes;
-  <li> number of nodes in that table.
-  </ul>
-  If more than one table contains the maximum number of live nodes,
-  only the one of lowest index is reported. Returns 1 in case of success
-  and 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddHeapProfile(
-  DdManager * dd)
-{
-    int ntables = dd->size;
-    DdSubtable *subtables = dd->subtables;
-    int i,        /* loop index */
-    nodes,        /* live nodes in i-th layer */
-    retval,        /* return value of fprintf */
-    largest = -1,    /* index of the table with most live nodes */
-    maxnodes = -1,    /* maximum number of live nodes in a table */
-    nonempty = 0;    /* number of tables with live nodes */
-
-    /* Print header. */
-#if SIZEOF_VOID_P == 8
-    retval = fprintf(dd->out,"*** DD heap profile for 0x%lx ***\n",
-             (unsigned long) dd);
-#else
-    retval = fprintf(dd->out,"*** DD heap profile for 0x%x ***\n",
-             (unsigned) dd);
-#endif
-    if (retval == EOF) return 0;
-
-    /* Print number of live nodes for each nonempty table. */
-    for (i=0; i<ntables; i++) {
-    nodes = subtables[i].keys - subtables[i].dead;
-    if (nodes) {
-        nonempty++;
-        retval = fprintf(dd->out,"%5d: %5d nodes\n", i, nodes);
-        if (retval == EOF) return 0;
-        if (nodes > maxnodes) {
-        maxnodes = nodes;
-        largest = i;
-        }
-    }
-    }
-
-    nodes = dd->constants.keys - dd->constants.dead;
-    if (nodes) {
-    nonempty++;
-    retval = fprintf(dd->out,"const: %5d nodes\n", nodes);
-    if (retval == EOF) return 0;
-    if (nodes > maxnodes) {
-        maxnodes = nodes;
-        largest = CUDD_CONST_INDEX;
-    }
-    }
-
-    /* Print summary. */
-    retval = fprintf(dd->out,"Summary: %d tables, %d non-empty, largest: %d ",
-      ntables+1, nonempty, largest);
-    if (retval == EOF) return 0;
-    retval = fprintf(dd->out,"(with %d nodes)\n", maxnodes);
-    if (retval == EOF) return 0;
-
-    return(1);
-
-} /* end of cuddHeapProfile */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints out information on a node.]
-
-  Description [Prints out information on a node.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-cuddPrintNode(
-  DdNode * f,
-  FILE *fp)
-{
-    f = Cudd_Regular(f);
-#if SIZEOF_VOID_P == 8
-    (void) fprintf(fp,"       node 0x%lx, id = %d, ref = %d, then = 0x%lx, else = 0x%lx\n",(unsigned long)f,f->index,f->ref,(unsigned long)cuddT(f),(unsigned long)cuddE(f));
-#else
-    (void) fprintf(fp,"       node 0x%x, id = %d, ref = %d, then = 0x%x, else = 0x%x\n",(unsigned)f,f->index,f->ref,(unsigned)cuddT(f),(unsigned)cuddE(f));
-#endif
-
-} /* end of cuddPrintNode */
-
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints the variable groups as a parenthesized list.]
-
-  Description [Prints the variable groups as a parenthesized list.
-  For each group the level range that it represents is printed. After
-  each group, the group's flags are printed, preceded by a `|'.  For
-  each flag (except MTR_TERMINAL) a character is printed.
-  <ul>
-  <li>F: MTR_FIXED
-  <li>N: MTR_NEWNODE
-  <li>S: MTR_SOFT
-  </ul>
-  The second argument, silent, if different from 0, causes
-  Cudd_PrintVarGroups to only check the syntax of the group tree.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-cuddPrintVarGroups(
-  DdManager * dd /* manager */,
-  MtrNode * root /* root of the group tree */,
-  int zdd /* 0: BDD; 1: ZDD */,
-  int silent /* flag to check tree syntax only */)
-{
-    MtrNode *node;
-    int level;
-
-    assert(root != NULL);
-    assert(root->younger == NULL || root->younger->elder == root);
-    assert(root->elder == NULL || root->elder->younger == root);
-    if (zdd) {
-    level = dd->permZ[root->index];
-    } else {
-    level = dd->perm[root->index];
-    }
-    if (!silent) (void) printf("(%d",level);
-    if (MTR_TEST(root,MTR_TERMINAL) || root->child == NULL) {
-    if (!silent) (void) printf(",");
-    } else {
-    node = root->child;
-    while (node != NULL) {
-        assert(node->low >= root->low && (int) (node->low + node->size) <= (int) (root->low + root->size));
-        assert(node->parent == root);
-        cuddPrintVarGroups(dd,node,zdd,silent);
-        node = node->younger;
-    }
-    }
-    if (!silent) {
-    (void) printf("%d", level + root->size - 1);
-    if (root->flags != MTR_DEFAULT) {
-        (void) printf("|");
-        if (MTR_TEST(root,MTR_FIXED)) (void) printf("F");
-        if (MTR_TEST(root,MTR_NEWNODE)) (void) printf("N");
-        if (MTR_TEST(root,MTR_SOFT)) (void) printf("S");
-    }
-    (void) printf(")");
-    if (root->parent == NULL) (void) printf("\n");
-    }
-    assert((root->flags &~(MTR_TERMINAL | MTR_SOFT | MTR_FIXED | MTR_NEWNODE)) == 0);
-    return;
-
-} /* end of cuddPrintVarGroups */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Searches the subtables above node for its parents.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-debugFindParent(
-  DdManager * table,
-  DdNode * node)
-{
-    int         i,j;
-    int        slots;
-    DdNodePtr    *nodelist;
-    DdNode    *f;
-    
-    for (i = 0; i < cuddI(table,node->index); i++) {
-    nodelist = table->subtables[i].nodelist;
-    slots = table->subtables[i].slots;
-
-    for (j=0;j<slots;j++) {
-        f = nodelist[j];
-        while (f != NULL) {
-        if (cuddT(f) == node || Cudd_Regular(cuddE(f)) == node) {
-#if SIZEOF_VOID_P == 8
-            (void) fprintf(table->out,"parent is at 0x%lx, id = %d, ref = %d, then = 0x%lx, else = 0x%lx\n",
-            (unsigned long)f,f->index,f->ref,(unsigned long)cuddT(f),(unsigned long)cuddE(f));
-#else
-            (void) fprintf(table->out,"parent is at 0x%x, id = %d, ref = %d, then = 0x%x, else = 0x%x\n",
-            (unsigned)f,f->index,f->ref,(unsigned)cuddT(f),(unsigned)cuddE(f));
-#endif
-        }
-        f = f->next;
-        }
-    }
-    }
-
-} /* end of debugFindParent */
-
-
-#if 0
-/**Function********************************************************************
-
-  Synopsis    [Reports an error if a (dead) node has a non-dead parent.]
-
-  Description [Searches all the subtables above node. Very expensive.
-  The same check is now implemented more efficiently in ddDebugCheck.]
-
-  SideEffects [None]
-
-  SeeAlso     [debugFindParent]
-
-******************************************************************************/
-static void
-debugCheckParent(
-  DdManager * table,
-  DdNode * node)
-{
-    int         i,j;
-    int        slots;
-    DdNode    **nodelist,*f;
-    
-    for (i = 0; i < cuddI(table,node->index); i++) {
-    nodelist = table->subtables[i].nodelist;
-    slots = table->subtables[i].slots;
-
-    for (j=0;j<slots;j++) {
-        f = nodelist[j];
-        while (f != NULL) {
-        if ((Cudd_Regular(cuddE(f)) == node || cuddT(f) == node) && f->ref != 0) {
-            (void) fprintf(table->err,
-                   "error with zero ref count\n");
-            (void) fprintf(table->err,"parent is 0x%x, id = %d, ref = %d, then = 0x%x, else = 0x%x\n",f,f->index,f->ref,cuddT(f),cuddE(f));
-            (void) fprintf(table->err,"child  is 0x%x, id = %d, ref = %d, then = 0x%x, else = 0x%x\n",node,node->index,node->ref,cuddT(node),cuddE(node));
-        }
-        f = f->next;
-        }
-    }
-    }
-}
-#endif
diff --git a/src/bdd/cudd/cuddClip.c b/src/bdd/cudd/cuddClip.c
deleted file mode 100644
index 4da296ef..00000000
--- a/src/bdd/cudd/cuddClip.c
+++ /dev/null
@@ -1,531 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddClip.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Clipping functions.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_bddClippingAnd()
-        <li> Cudd_bddClippingAndAbstract()
-        </ul>
-       Internal procedures included in this module:
-        <ul>
-        <li> cuddBddClippingAnd()
-        <li> cuddBddClippingAndAbstract()
-        </ul>
-       Static procedures included in this module:
-        <ul>
-        <li> cuddBddClippingAndRecur()
-        <li> cuddBddClipAndAbsRecur()
-        </ul>
-
-  SeeAlso     []
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddClip.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static DdNode * cuddBddClippingAndRecur ARGS((DdManager *manager, DdNode *f, DdNode *g, int distance, int direction));
-static DdNode * cuddBddClipAndAbsRecur ARGS((DdManager *manager, DdNode *f, DdNode *g, DdNode *cube, int distance, int direction));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Approximates the conjunction of two BDDs f and g.]
-
-  Description [Approximates the conjunction of two BDDs f and g. Returns a
-  pointer to the resulting BDD if successful; NULL if the intermediate
-  result blows up.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddAnd]
-
-******************************************************************************/
-DdNode *
-Cudd_bddClippingAnd(
-  DdManager * dd /* manager */,
-  DdNode * f /* first conjunct */,
-  DdNode * g /* second conjunct */,
-  int  maxDepth /* maximum recursion depth */,
-  int  direction /* under (0) or over (1) approximation */)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddBddClippingAnd(dd,f,g,maxDepth,direction);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_bddClippingAnd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Approximates the conjunction of two BDDs f and g and
-  simultaneously abstracts the variables in cube.]
-
-  Description [Approximates the conjunction of two BDDs f and g and
-  simultaneously abstracts the variables in cube. The variables are
-  existentially abstracted. Returns a pointer to the resulting BDD if
-  successful; NULL if the intermediate result blows up.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddAndAbstract Cudd_bddClippingAnd]
-
-******************************************************************************/
-DdNode *
-Cudd_bddClippingAndAbstract(
-  DdManager * dd /* manager */,
-  DdNode * f /* first conjunct */,
-  DdNode * g /* second conjunct */,
-  DdNode * cube /* cube of variables to be abstracted */,
-  int  maxDepth /* maximum recursion depth */,
-  int  direction /* under (0) or over (1) approximation */)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddBddClippingAndAbstract(dd,f,g,cube,maxDepth,direction);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_bddClippingAndAbstract */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Approximates the conjunction of two BDDs f and g.]
-
-  Description [Approximates the conjunction of two BDDs f and g. Returns a
-  pointer to the resulting BDD if successful; NULL if the intermediate
-  result blows up.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddClippingAnd]
-
-******************************************************************************/
-DdNode *
-cuddBddClippingAnd(
-  DdManager * dd /* manager */,
-  DdNode * f /* first conjunct */,
-  DdNode * g /* second conjunct */,
-  int  maxDepth /* maximum recursion depth */,
-  int  direction /* under (0) or over (1) approximation */)
-{
-    DdNode *res;
-
-    res = cuddBddClippingAndRecur(dd,f,g,maxDepth,direction);
-
-    return(res);
-
-} /* end of cuddBddClippingAnd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Approximates the conjunction of two BDDs f and g and
-  simultaneously abstracts the variables in cube.]
-
-  Description [Approximates the conjunction of two BDDs f and g and
-  simultaneously abstracts the variables in cube. Returns a
-  pointer to the resulting BDD if successful; NULL if the intermediate
-  result blows up.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddClippingAndAbstract]
-
-******************************************************************************/
-DdNode *
-cuddBddClippingAndAbstract(
-  DdManager * dd /* manager */,
-  DdNode * f /* first conjunct */,
-  DdNode * g /* second conjunct */,
-  DdNode * cube /* cube of variables to be abstracted */,
-  int  maxDepth /* maximum recursion depth */,
-  int  direction /* under (0) or over (1) approximation */)
-{
-    DdNode *res;
-
-    res = cuddBddClipAndAbsRecur(dd,f,g,cube,maxDepth,direction);
-
-    return(res);
-
-} /* end of cuddBddClippingAndAbstract */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Implements the recursive step of Cudd_bddClippingAnd.]
-
-  Description [Implements the recursive step of Cudd_bddClippingAnd by taking
-  the conjunction of two BDDs.  Returns a pointer to the result is
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddBddClippingAnd]
-
-******************************************************************************/
-static DdNode *
-cuddBddClippingAndRecur(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * g,
-  int  distance,
-  int  direction)
-{
-    DdNode *F, *ft, *fe, *G, *gt, *ge;
-    DdNode *one, *zero, *r, *t, *e;
-    unsigned int topf, topg, index;
-    DdNode *(*cacheOp)(DdManager *, DdNode *, DdNode *);
-
-    statLine(manager);
-    one = DD_ONE(manager);
-    zero = Cudd_Not(one);
-
-    /* Terminal cases. */
-    if (f == zero || g == zero || f == Cudd_Not(g)) return(zero);
-    if (f == g || g == one) return(f);
-    if (f == one) return(g);
-    if (distance == 0) {
-    /* One last attempt at returning the right result. We sort of
-    ** cheat by calling Cudd_bddLeq. */
-    if (Cudd_bddLeq(manager,f,g)) return(f);
-    if (Cudd_bddLeq(manager,g,f)) return(g);
-    if (direction == 1) {
-        if (Cudd_bddLeq(manager,f,Cudd_Not(g)) ||
-        Cudd_bddLeq(manager,g,Cudd_Not(f))) return(zero);
-    }
-    return(Cudd_NotCond(one,(direction == 0)));
-    }
-
-    /* At this point f and g are not constant. */
-    distance--;
-
-    /* Check cache. Try to increase cache efficiency by sorting the
-    ** pointers. */
-    if (f > g) {
-    DdNode *tmp = f;
-    f = g; g = tmp;
-    }
-    F = Cudd_Regular(f);
-    G = Cudd_Regular(g);
-    cacheOp = (DdNode *(*)(DdManager *, DdNode *, DdNode *))
-    (direction ? Cudd_bddClippingAnd : cuddBddClippingAnd);
-    if (F->ref != 1 || G->ref != 1) {
-    r = cuddCacheLookup2(manager, cacheOp, f, g);
-    if (r != NULL) return(r);
-    }
-
-    /* Here we can skip the use of cuddI, because the operands are known
-    ** to be non-constant.
-    */
-    topf = manager->perm[F->index];
-    topg = manager->perm[G->index];
-
-    /* Compute cofactors. */
-    if (topf <= topg) {
-    index = F->index;
-    ft = cuddT(F);
-    fe = cuddE(F);
-    if (Cudd_IsComplement(f)) {
-        ft = Cudd_Not(ft);
-        fe = Cudd_Not(fe);
-    }
-    } else {
-    index = G->index;
-    ft = fe = f;
-    }
-
-    if (topg <= topf) {
-    gt = cuddT(G);
-    ge = cuddE(G);
-    if (Cudd_IsComplement(g)) {
-        gt = Cudd_Not(gt);
-        ge = Cudd_Not(ge);
-    }
-    } else {
-    gt = ge = g;
-    }
-
-    t = cuddBddClippingAndRecur(manager, ft, gt, distance, direction);
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-    e = cuddBddClippingAndRecur(manager, fe, ge, distance, direction);
-    if (e == NULL) {
-    Cudd_RecursiveDeref(manager, t);
-    return(NULL);
-    }
-    cuddRef(e);
-
-    if (t == e) {
-    r = t;
-    } else {
-    if (Cudd_IsComplement(t)) {
-        r = cuddUniqueInter(manager,(int)index,Cudd_Not(t),Cudd_Not(e));
-        if (r == NULL) {
-        Cudd_RecursiveDeref(manager, t);
-        Cudd_RecursiveDeref(manager, e);
-        return(NULL);
-        }
-        r = Cudd_Not(r);
-    } else {
-        r = cuddUniqueInter(manager,(int)index,t,e);
-        if (r == NULL) {
-        Cudd_RecursiveDeref(manager, t);
-        Cudd_RecursiveDeref(manager, e);
-        return(NULL);
-        }
-    }
-    }
-    cuddDeref(e);
-    cuddDeref(t);
-    if (F->ref != 1 || G->ref != 1)
-    cuddCacheInsert2(manager, cacheOp, f, g, r);
-    return(r);
-
-} /* end of cuddBddClippingAndRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis [Approximates the AND of two BDDs and simultaneously abstracts the
-  variables in cube.]
-
-  Description [Approximates the AND of two BDDs and simultaneously
-  abstracts the variables in cube. The variables are existentially
-  abstracted.  Returns a pointer to the result is successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddClippingAndAbstract]
-
-******************************************************************************/
-static DdNode *
-cuddBddClipAndAbsRecur(
-  DdManager * manager,
-  DdNode * f,
-  DdNode * g,
-  DdNode * cube,
-  int  distance,
-  int  direction)
-{
-    DdNode *F, *ft, *fe, *G, *gt, *ge;
-    DdNode *one, *zero, *r, *t, *e, *Cube;
-    unsigned int topf, topg, topcube, top, index;
-    ptruint cacheTag;
-
-    statLine(manager);
-    one = DD_ONE(manager);
-    zero = Cudd_Not(one);
-
-    /* Terminal cases. */
-    if (f == zero || g == zero || f == Cudd_Not(g)) return(zero);
-    if (f == one && g == one)    return(one);
-    if (cube == one) {
-    return(cuddBddClippingAndRecur(manager, f, g, distance, direction));
-    }
-    if (f == one || f == g) {
-    return (cuddBddExistAbstractRecur(manager, g, cube));
-    }
-    if (g == one) {
-    return (cuddBddExistAbstractRecur(manager, f, cube));
-    }
-    if (distance == 0) return(Cudd_NotCond(one,(direction == 0)));
-
-    /* At this point f, g, and cube are not constant. */
-    distance--;
-
-    /* Check cache. */
-    if (f > g) { /* Try to increase cache efficiency. */
-    DdNode *tmp = f;
-    f = g; g = tmp;
-    }
-    F = Cudd_Regular(f);
-    G = Cudd_Regular(g);
-    cacheTag = direction ? DD_BDD_CLIPPING_AND_ABSTRACT_UP_TAG :
-    DD_BDD_CLIPPING_AND_ABSTRACT_DOWN_TAG;
-    if (F->ref != 1 || G->ref != 1) {
-    r = cuddCacheLookup(manager, cacheTag,
-                f, g, cube);
-    if (r != NULL) {
-        return(r);
-    }
-    }
-
-    /* Here we can skip the use of cuddI, because the operands are known
-    ** to be non-constant.
-    */
-    topf = manager->perm[F->index];
-    topg = manager->perm[G->index];
-    top = ddMin(topf, topg);
-    topcube = manager->perm[cube->index];
-
-    if (topcube < top) {
-    return(cuddBddClipAndAbsRecur(manager, f, g, cuddT(cube),
-                      distance, direction));
-    }
-    /* Now, topcube >= top. */
-
-    if (topf == top) {
-    index = F->index;
-    ft = cuddT(F);
-    fe = cuddE(F);
-    if (Cudd_IsComplement(f)) {
-        ft = Cudd_Not(ft);
-        fe = Cudd_Not(fe);
-    }
-    } else {
-    index = G->index;
-    ft = fe = f;
-    }
-
-    if (topg == top) {
-    gt = cuddT(G);
-    ge = cuddE(G);
-    if (Cudd_IsComplement(g)) {
-        gt = Cudd_Not(gt);
-        ge = Cudd_Not(ge);
-    }
-    } else {
-    gt = ge = g;
-    }
-
-    if (topcube == top) {
-    Cube = cuddT(cube);
-    } else {
-    Cube = cube;
-    }
-
-    t = cuddBddClipAndAbsRecur(manager, ft, gt, Cube, distance, direction);
-    if (t == NULL) return(NULL);
-
-    /* Special case: 1 OR anything = 1. Hence, no need to compute
-    ** the else branch if t is 1.
-    */
-    if (t == one && topcube == top) {
-    if (F->ref != 1 || G->ref != 1)
-        cuddCacheInsert(manager, cacheTag, f, g, cube, one);
-    return(one);
-    }
-    cuddRef(t);
-
-    e = cuddBddClipAndAbsRecur(manager, fe, ge, Cube, distance, direction);
-    if (e == NULL) {
-    Cudd_RecursiveDeref(manager, t);
-    return(NULL);
-    }
-    cuddRef(e);
-
-    if (topcube == top) {    /* abstract */
-    r = cuddBddClippingAndRecur(manager, Cudd_Not(t), Cudd_Not(e),
-                    distance, (direction == 0));
-    if (r == NULL) {
-        Cudd_RecursiveDeref(manager, t);
-        Cudd_RecursiveDeref(manager, e);
-        return(NULL);
-    }
-    r = Cudd_Not(r);
-    cuddRef(r);
-    Cudd_RecursiveDeref(manager, t);
-    Cudd_RecursiveDeref(manager, e);
-    cuddDeref(r);
-    } else if (t == e) {
-    r = t;
-    cuddDeref(t);
-    cuddDeref(e);
-    } else {
-    if (Cudd_IsComplement(t)) {
-        r = cuddUniqueInter(manager,(int)index,Cudd_Not(t),Cudd_Not(e));
-        if (r == NULL) {
-        Cudd_RecursiveDeref(manager, t);
-        Cudd_RecursiveDeref(manager, e);
-        return(NULL);
-        }
-        r = Cudd_Not(r);
-    } else {
-        r = cuddUniqueInter(manager,(int)index,t,e);
-        if (r == NULL) {
-        Cudd_RecursiveDeref(manager, t);
-        Cudd_RecursiveDeref(manager, e);
-        return(NULL);
-        }
-    }
-    cuddDeref(e);
-    cuddDeref(t);
-    }
-    if (F->ref != 1 || G->ref != 1)
-    cuddCacheInsert(manager, cacheTag, f, g, cube, r);
-    return (r);
-
-} /* end of cuddBddClipAndAbsRecur */
-
diff --git a/src/bdd/cudd/cuddCof.c b/src/bdd/cudd/cuddCof.c
deleted file mode 100644
index f79e3f91..00000000
--- a/src/bdd/cudd/cuddCof.c
+++ /dev/null
@@ -1,300 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddCof.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Cofactoring functions.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_Cofactor()
-        </ul>
-           Internal procedures included in this module:
-        <ul>
-        <li> cuddGetBranches()
-        <li> cuddCheckCube()
-        <li> cuddCofactorRecur()
-        </ul>
-          ]
-
-  SeeAlso     []
-
-  Author      [Fabio Somenzi]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddCof.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the cofactor of f with respect to g.]
-
-  Description [Computes the cofactor of f with respect to g; g must be
-  the BDD or the ADD of a cube. Returns a pointer to the cofactor if
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddConstrain Cudd_bddRestrict]
-
-******************************************************************************/
-DdNode *
-Cudd_Cofactor(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *res,*zero;
-
-    zero = Cudd_Not(DD_ONE(dd));
-    if (g == zero || g == DD_ZERO(dd)) {
-    (void) fprintf(dd->err,"Cudd_Cofactor: Invalid restriction 1\n");
-    dd->errorCode = CUDD_INVALID_ARG;
-    return(NULL);
-    }
-    do {
-    dd->reordered = 0;
-    res = cuddCofactorRecur(dd,f,g);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_Cofactor */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the children of g.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-cuddGetBranches(
-  DdNode * g,
-  DdNode ** g1,
-  DdNode ** g0)
-{
-    DdNode    *G = Cudd_Regular(g);
-
-    *g1 = cuddT(G);
-    *g0 = cuddE(G);
-    if (Cudd_IsComplement(g)) {
-    *g1 = Cudd_Not(*g1);
-    *g0 = Cudd_Not(*g0);
-    }
-
-} /* end of cuddGetBranches */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks whether g is the BDD of a cube.]
-
-  Description [Checks whether g is the BDD of a cube. Returns 1 in case
-  of success; 0 otherwise. The constant 1 is a valid cube, but all other
-  constant functions cause cuddCheckCube to return 0.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddCheckCube(
-  DdManager * dd,
-  DdNode * g)
-{
-    DdNode *g1,*g0,*one,*zero;
-    
-    one = DD_ONE(dd);
-    if (g == one) return(1);
-    if (Cudd_IsConstant(g)) return(0);
-
-    zero = Cudd_Not(one);
-    cuddGetBranches(g,&g1,&g0);
-
-    if (g0 == zero) {
-        return(cuddCheckCube(dd, g1));
-    }
-    if (g1 == zero) {
-        return(cuddCheckCube(dd, g0));
-    }
-    return(0);
-
-} /* end of cuddCheckCube */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_Cofactor.]
-
-  Description [Performs the recursive step of Cudd_Cofactor. Returns a
-  pointer to the cofactor if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_Cofactor]
-
-******************************************************************************/
-DdNode *
-cuddCofactorRecur(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *one,*zero,*F,*G,*g1,*g0,*f1,*f0,*t,*e,*r;
-    unsigned int topf,topg;
-    int comple;
-
-    statLine(dd);
-    F = Cudd_Regular(f);
-    if (cuddIsConstant(F)) return(f);
-
-    one = DD_ONE(dd);
-
-    /* The invariant g != 0 is true on entry to this procedure and is
-    ** recursively maintained by it. Therefore it suffices to test g
-    ** against one to make sure it is not constant.
-    */
-    if (g == one) return(f);
-    /* From now on, f and g are known not to be constants. */
-
-    comple = f != F;
-    r = cuddCacheLookup2(dd,Cudd_Cofactor,F,g);
-    if (r != NULL) {
-    return(Cudd_NotCond(r,comple));
-    }
-
-    topf = dd->perm[F->index];
-    G = Cudd_Regular(g);
-    topg = dd->perm[G->index];
-
-    /* We take the cofactors of F because we are going to rely on
-    ** the fact that the cofactors of the complement are the complements
-    ** of the cofactors to better utilize the cache. Variable comple
-    ** remembers whether we have to complement the result or not.
-    */
-    if (topf <= topg) {
-    f1 = cuddT(F); f0 = cuddE(F);
-    } else {
-    f1 = f0 = F;
-    }
-    if (topg <= topf) {
-    g1 = cuddT(G); g0 = cuddE(G);
-    if (g != G) { g1 = Cudd_Not(g1); g0 = Cudd_Not(g0); }
-    } else {
-    g1 = g0 = g;
-    }
-
-    zero = Cudd_Not(one);
-    if (topf >= topg) {
-    if (g0 == zero || g0 == DD_ZERO(dd)) {
-        r = cuddCofactorRecur(dd, f1, g1);
-    } else if (g1 == zero || g1 == DD_ZERO(dd)) {
-        r = cuddCofactorRecur(dd, f0, g0);
-    } else {
-        (void) fprintf(dd->out,
-               "Cudd_Cofactor: Invalid restriction 2\n");
-        dd->errorCode = CUDD_INVALID_ARG;
-        return(NULL);
-    }
-    if (r == NULL) return(NULL);
-    } else /* if (topf < topg) */ {
-    t = cuddCofactorRecur(dd, f1, g);
-    if (t == NULL) return(NULL);
-        cuddRef(t);
-        e = cuddCofactorRecur(dd, f0, g);
-    if (e == NULL) {
-        Cudd_RecursiveDeref(dd, t);
-        return(NULL);
-    }
-    cuddRef(e);
-
-    if (t == e) {
-        r = t;
-    } else if (Cudd_IsComplement(t)) {
-        r = cuddUniqueInter(dd,(int)F->index,Cudd_Not(t),Cudd_Not(e));
-        if (r != NULL)
-        r = Cudd_Not(r);
-    } else {
-        r = cuddUniqueInter(dd,(int)F->index,t,e);
-    }
-    if (r == NULL) {
-        Cudd_RecursiveDeref(dd ,e);
-        Cudd_RecursiveDeref(dd ,t);
-        return(NULL);
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-    }
-
-    cuddCacheInsert2(dd,Cudd_Cofactor,F,g,r);
-
-    return(Cudd_NotCond(r,comple));
-
-} /* end of cuddCofactorRecur */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
diff --git a/src/bdd/cudd/cuddCompose.c b/src/bdd/cudd/cuddCompose.c
deleted file mode 100644
index 8c858051..00000000
--- a/src/bdd/cudd/cuddCompose.c
+++ /dev/null
@@ -1,1722 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddCompose.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functional composition and variable permutation of DDs.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_bddCompose()
-        <li> Cudd_addCompose()
-        <li> Cudd_addPermute()
-        <li> Cudd_addSwapVariables()
-        <li> Cudd_bddPermute()
-        <li> Cudd_bddVarMap()
-        <li> Cudd_SetVarMap()
-        <li> Cudd_bddSwapVariables()
-        <li> Cudd_bddAdjPermuteX()
-        <li> Cudd_addVectorCompose()
-        <li> Cudd_addGeneralVectorCompose()
-        <li> Cudd_addNonSimCompose()
-        <li> Cudd_bddVectorCompose()
-        </ul>
-           Internal procedures included in this module:
-        <ul>
-        <li> cuddBddComposeRecur()
-        <li> cuddAddComposeRecur()
-        </ul>
-           Static procedures included in this module:
-        <ul>
-        <li> cuddAddPermuteRecur()
-        <li> cuddBddPermuteRecur()
-        <li> cuddBddVarMapRecur()
-        <li> cuddAddVectorComposeRecur()
-        <li> cuddAddGeneralVectorComposeRecur()
-        <li> cuddAddNonSimComposeRecur()
-        <li> cuddBddVectorComposeRecur()
-        <li> ddIsIthAddVar()
-        <li> ddIsIthAddVarPair()
-           </ul>
-  The permutation functions use a local cache because the results to
-  be remembered depend on the permutation being applied.  Since the
-  permutation is just an array, it cannot be stored in the global
-  cache. There are different procedured for BDDs and ADDs. This is
-  because bddPermuteRecur uses cuddBddIteRecur. If this were changed,
-  the procedures could be merged.]
-
-  Author      [Fabio Somenzi and Kavita Ravi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddCompose.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $";
-#endif
-
-#ifdef DD_DEBUG
-static int addPermuteRecurHits;
-static int bddPermuteRecurHits;
-static int bddVectorComposeHits;
-static int addVectorComposeHits;
-
-static int addGeneralVectorComposeHits;
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static DdNode * cuddAddPermuteRecur ARGS((DdManager *manager, DdHashTable *table, DdNode *node, int *permut));
-static DdNode * cuddBddPermuteRecur ARGS((DdManager *manager, DdHashTable *table, DdNode *node, int *permut));
-static DdNode * cuddBddVarMapRecur ARGS((DdManager *manager, DdNode *f));
-static DdNode * cuddAddVectorComposeRecur ARGS((DdManager *dd, DdHashTable *table, DdNode *f, DdNode **vector, int deepest));
-static DdNode * cuddAddNonSimComposeRecur ARGS((DdManager *dd, DdNode *f, DdNode **vector, DdNode *key, DdNode *cube, int lastsub));
-static DdNode * cuddBddVectorComposeRecur ARGS((DdManager *dd, DdHashTable *table, DdNode *f, DdNode **vector, int deepest));
-DD_INLINE static int ddIsIthAddVar ARGS((DdManager *dd, DdNode *f, unsigned int i));
-
-static DdNode * cuddAddGeneralVectorComposeRecur ARGS((DdManager *dd, DdHashTable *table, DdNode *f, DdNode **vectorOn, DdNode **vectorOff, int deepest));
-DD_INLINE static int ddIsIthAddVarPair ARGS((DdManager *dd, DdNode *f, DdNode *g, unsigned int i));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Substitutes g for x_v in the BDD for f.]
-
-  Description [Substitutes g for x_v in the BDD for f. v is the index of the
-  variable to be substituted. Cudd_bddCompose passes the corresponding
-  projection function to the recursive procedure, so that the cache may
-  be used.  Returns the composed BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addCompose]
-
-******************************************************************************/
-DdNode *
-Cudd_bddCompose(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g,
-  int  v)
-{
-    DdNode *proj, *res;
-
-    /* Sanity check. */
-    if (v < 0 || v > dd->size) return(NULL);
-
-    proj =  dd->vars[v];
-    do {
-    dd->reordered = 0;
-    res = cuddBddComposeRecur(dd,f,g,proj);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_bddCompose */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Substitutes g for x_v in the ADD for f.]
-
-  Description [Substitutes g for x_v in the ADD for f. v is the index of the
-  variable to be substituted. g must be a 0-1 ADD. Cudd_bddCompose passes
-  the corresponding projection function to the recursive procedure, so
-  that the cache may be used.  Returns the composed ADD if successful;
-  NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddCompose]
-
-******************************************************************************/
-DdNode *
-Cudd_addCompose(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g,
-  int  v)
-{
-    DdNode *proj, *res;
-
-    /* Sanity check. */
-    if (v < 0 || v > dd->size) return(NULL);
-
-    proj =  dd->vars[v];
-    do {
-    dd->reordered = 0;
-    res = cuddAddComposeRecur(dd,f,g,proj);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_addCompose */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Permutes the variables of an ADD.]
-
-  Description [Given a permutation in array permut, creates a new ADD
-  with permuted variables. There should be an entry in array permut
-  for each variable in the manager. The i-th entry of permut holds the
-  index of the variable that is to substitute the i-th
-  variable. Returns a pointer to the resulting ADD if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddPermute Cudd_addSwapVariables]
-
-******************************************************************************/
-DdNode *
-Cudd_addPermute(
-  DdManager * manager,
-  DdNode * node,
-  int * permut)
-{
-    DdHashTable        *table;
-    DdNode        *res;
-
-    do {
-    manager->reordered = 0;
-    table = cuddHashTableInit(manager,1,2);
-    if (table == NULL) return(NULL);
-    /* Recursively solve the problem. */
-    res = cuddAddPermuteRecur(manager,table,node,permut);
-    if (res != NULL) cuddRef(res);
-    /* Dispose of local cache. */
-    cuddHashTableQuit(table);
-    } while (manager->reordered == 1);
-
-    if (res != NULL) cuddDeref(res);
-    return(res);
-
-} /* end of Cudd_addPermute */
-
-
-/**Function********************************************************************
-
-  Synopsis [Swaps two sets of variables of the same size (x and y) in
-  the ADD f.]
-
-  Description [Swaps two sets of variables of the same size (x and y) in
-  the ADD f.  The size is given by n. The two sets of variables are
-  assumed to be disjoint. Returns a pointer to the resulting ADD if
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addPermute Cudd_bddSwapVariables]
-
-******************************************************************************/
-DdNode *
-Cudd_addSwapVariables(
-  DdManager * dd,
-  DdNode * f,
-  DdNode ** x,
-  DdNode ** y,
-  int  n)
-{
-    DdNode *swapped;
-    int     i, j, k;
-    int     *permut;
-
-    permut = ALLOC(int,dd->size);
-    if (permut == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    for (i = 0; i < dd->size; i++) permut[i] = i;
-    for (i = 0; i < n; i++) {
-    j = x[i]->index;
-    k = y[i]->index;
-    permut[j] = k;
-    permut[k] = j;
-    }
-
-    swapped = Cudd_addPermute(dd,f,permut);
-    FREE(permut);
-
-    return(swapped);
-
-} /* end of Cudd_addSwapVariables */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Permutes the variables of a BDD.]
-
-  Description [Given a permutation in array permut, creates a new BDD
-  with permuted variables. There should be an entry in array permut
-  for each variable in the manager. The i-th entry of permut holds the
-  index of the variable that is to substitute the i-th variable.
-  Returns a pointer to the resulting BDD if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addPermute Cudd_bddSwapVariables]
-
-******************************************************************************/
-DdNode *
-Cudd_bddPermute(
-  DdManager * manager,
-  DdNode * node,
-  int * permut)
-{
-    DdHashTable        *table;
-    DdNode        *res;
-
-    do {
-    manager->reordered = 0;
-    table = cuddHashTableInit(manager,1,2);
-    if (table == NULL) return(NULL);
-    res = cuddBddPermuteRecur(manager,table,node,permut);
-    if (res != NULL) cuddRef(res);
-    /* Dispose of local cache. */
-    cuddHashTableQuit(table);
-
-    } while (manager->reordered == 1);
-
-    if (res != NULL) cuddDeref(res);
-    return(res);
-
-} /* end of Cudd_bddPermute */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Remaps the variables of a BDD using the default variable map.]
-
-  Description [Remaps the variables of a BDD using the default
-  variable map.  A typical use of this function is to swap two sets of
-  variables.  The variable map must be registered with Cudd_SetVarMap.
-  Returns a pointer to the resulting BDD if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddPermute Cudd_bddSwapVariables Cudd_SetVarMap]
-
-******************************************************************************/
-DdNode *
-Cudd_bddVarMap(
-  DdManager * manager /* DD manager */,
-  DdNode * f /* function in which to remap variables */)
-{
-    DdNode *res;
-
-    if (manager->map == NULL) return(NULL);
-    do {
-    manager->reordered = 0;
-    res = cuddBddVarMapRecur(manager, f);
-    } while (manager->reordered == 1);
-
-    return(res);
-
-} /* end of Cudd_bddVarMap */
-
-
-/**Function********************************************************************
-
-  Synopsis [Registers a variable mapping with the manager.]
-
-  Description [Registers with the manager a variable mapping described
-  by two sets of variables.  This variable mapping is then used by
-  functions like Cudd_bddVarMap.  This function is convenient for
-  those applications that perform the same mapping several times.
-  However, if several different permutations are used, it may be more
-  efficient not to rely on the registered mapping, because changing
-  mapping causes the cache to be cleared.  (The initial setting,
-  however, does not clear the cache.) The two sets of variables (x and
-  y) must have the same size (x and y).  The size is given by n. The
-  two sets of variables are normally disjoint, but this restriction is
-  not imposeded by the function. When new variables are created, the
-  map is automatically extended (each new variable maps to
-  itself). The typical use, however, is to wait until all variables
-  are created, and then create the map.  Returns 1 if the mapping is
-  successfully registered with the manager; 0 otherwise.]
-
-  SideEffects [Modifies the manager. May clear the cache.]
-
-  SeeAlso     [Cudd_bddVarMap Cudd_bddPermute Cudd_bddSwapVariables]
-
-******************************************************************************/
-int
-Cudd_SetVarMap (
-  DdManager *manager /* DD manager */,
-  DdNode **x /* first array of variables */,
-  DdNode **y /* second array of variables */,
-  int n /* length of both arrays */)
-{
-    int i;
-
-    if (manager->map != NULL) {
-    cuddCacheFlush(manager);
-    } else {
-    manager->map = ALLOC(int,manager->maxSize);
-    if (manager->map == NULL) {
-        manager->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    manager->memused += sizeof(int) * manager->maxSize;
-    }
-    /* Initialize the map to the identity. */
-    for (i = 0; i < manager->size; i++) {
-    manager->map[i] = i;
-    }
-    /* Create the map. */
-    for (i = 0; i < n; i++) {
-    manager->map[x[i]->index] = y[i]->index;
-    manager->map[y[i]->index] = x[i]->index;
-    }
-    return(1);
-
-} /* end of Cudd_SetVarMap */
-
-
-/**Function********************************************************************
-
-  Synopsis [Swaps two sets of variables of the same size (x and y) in
-  the BDD f.]
-
-  Description [Swaps two sets of variables of the same size (x and y)
-  in the BDD f. The size is given by n. The two sets of variables are
-  assumed to be disjoint.  Returns a pointer to the resulting BDD if
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddPermute Cudd_addSwapVariables]
-
-******************************************************************************/
-DdNode *
-Cudd_bddSwapVariables(
-  DdManager * dd,
-  DdNode * f,
-  DdNode ** x,
-  DdNode ** y,
-  int  n)
-{
-    DdNode *swapped;
-    int     i, j, k;
-    int     *permut;
-
-    permut = ALLOC(int,dd->size);
-    if (permut == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    for (i = 0; i < dd->size; i++) permut[i] = i;
-    for (i = 0; i < n; i++) {
-    j = x[i]->index;
-    k = y[i]->index;
-    permut[j] = k;
-    permut[k] = j;
-    }
-
-    swapped = Cudd_bddPermute(dd,f,permut);
-    FREE(permut);
-
-    return(swapped);
-
-} /* end of Cudd_bddSwapVariables */
-
-
-/**Function********************************************************************
-
-  Synopsis [Rearranges a set of variables in the BDD B.]
-
-  Description [Rearranges a set of variables in the BDD B. The size of
-  the set is given by n. This procedure is intended for the
-  `randomization' of the priority functions. Returns a pointer to the
-  BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddPermute Cudd_bddSwapVariables
-  Cudd_Dxygtdxz Cudd_Dxygtdyz Cudd_PrioritySelect]
-
-******************************************************************************/
-DdNode *
-Cudd_bddAdjPermuteX(
-  DdManager * dd,
-  DdNode * B,
-  DdNode ** x,
-  int  n)
-{
-    DdNode *swapped;
-    int     i, j, k;
-    int     *permut;
-
-    permut = ALLOC(int,dd->size);
-    if (permut == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    for (i = 0; i < dd->size; i++) permut[i] = i;
-    for (i = 0; i < n-2; i += 3) {
-    j = x[i]->index;
-    k = x[i+1]->index;
-    permut[j] = k;
-    permut[k] = j;
-    }
-
-    swapped = Cudd_bddPermute(dd,B,permut);
-    FREE(permut);
-
-    return(swapped);
-
-} /* end of Cudd_bddAdjPermuteX */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Composes an ADD with a vector of 0-1 ADDs.]
-
-  Description [Given a vector of 0-1 ADDs, creates a new ADD by
-  substituting the 0-1 ADDs for the variables of the ADD f.  There
-  should be an entry in vector for each variable in the manager.
-  If no substitution is sought for a given variable, the corresponding
-  projection function should be specified in the vector.
-  This function implements simultaneous composition.
-  Returns a pointer to the resulting ADD if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addNonSimCompose Cudd_addPermute Cudd_addCompose
-  Cudd_bddVectorCompose]
-
-******************************************************************************/
-DdNode *
-Cudd_addVectorCompose(
-  DdManager * dd,
-  DdNode * f,
-  DdNode ** vector)
-{
-    DdHashTable        *table;
-    DdNode        *res;
-    int            deepest;
-    int                 i;
-
-    do {
-    dd->reordered = 0;
-    /* Initialize local cache. */
-    table = cuddHashTableInit(dd,1,2);
-    if (table == NULL) return(NULL);
-
-    /* Find deepest real substitution. */
-    for (deepest = dd->size - 1; deepest >= 0; deepest--) {
-        i = dd->invperm[deepest];
-        if (!ddIsIthAddVar(dd,vector[i],i)) {
-        break;
-        }
-    }
-
-    /* Recursively solve the problem. */
-    res = cuddAddVectorComposeRecur(dd,table,f,vector,deepest);
-    if (res != NULL) cuddRef(res);
-
-    /* Dispose of local cache. */
-    cuddHashTableQuit(table);
-    } while (dd->reordered == 1);
-
-    if (res != NULL) cuddDeref(res);
-    return(res);
-
-} /* end of Cudd_addVectorCompose */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Composes an ADD with a vector of ADDs.]
-
-  Description [Given a vector of ADDs, creates a new ADD by substituting the
-  ADDs for the variables of the ADD f. vectorOn contains ADDs to be substituted
-  for the x_v and vectorOff the ADDs to be substituted for x_v'. There should
-  be an entry in vector for each variable in the manager.  If no substitution
-  is sought for a given variable, the corresponding projection function should
-  be specified in the vector.  This function implements simultaneous
-  composition.  Returns a pointer to the resulting ADD if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso [Cudd_addVectorCompose Cudd_addNonSimCompose Cudd_addPermute
-  Cudd_addCompose Cudd_bddVectorCompose]
-
-******************************************************************************/
-DdNode *
-Cudd_addGeneralVectorCompose(
-  DdManager * dd,
-  DdNode * f,
-  DdNode ** vectorOn,
-  DdNode ** vectorOff)
-{
-    DdHashTable        *table;
-    DdNode        *res;
-    int            deepest;
-    int                 i;
-
-    do {
-    dd->reordered = 0;
-    /* Initialize local cache. */
-    table = cuddHashTableInit(dd,1,2);
-    if (table == NULL) return(NULL);
-
-    /* Find deepest real substitution. */
-    for (deepest = dd->size - 1; deepest >= 0; deepest--) {
-        i = dd->invperm[deepest];
-        if (!ddIsIthAddVarPair(dd,vectorOn[i],vectorOff[i],i)) {
-        break;
-        }
-    }
-
-    /* Recursively solve the problem. */
-    res = cuddAddGeneralVectorComposeRecur(dd,table,f,vectorOn,
-                           vectorOff,deepest);
-    if (res != NULL) cuddRef(res);
-
-    /* Dispose of local cache. */
-    cuddHashTableQuit(table);
-    } while (dd->reordered == 1);
-
-    if (res != NULL) cuddDeref(res);
-    return(res);
-
-} /* end of Cudd_addGeneralVectorCompose */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Composes an ADD with a vector of 0-1 ADDs.]
-
-  Description [Given a vector of 0-1 ADDs, creates a new ADD by
-  substituting the 0-1 ADDs for the variables of the ADD f.  There
-  should be an entry in vector for each variable in the manager.
-  This function implements non-simultaneous composition. If any of the
-  functions being composed depends on any of the variables being
-  substituted, then the result depends on the order of composition,
-  which in turn depends on the variable order: The variables farther from
-  the roots in the order are substituted first.
-  Returns a pointer to the resulting ADD if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addVectorCompose Cudd_addPermute Cudd_addCompose]
-
-******************************************************************************/
-DdNode *
-Cudd_addNonSimCompose(
-  DdManager * dd,
-  DdNode * f,
-  DdNode ** vector)
-{
-    DdNode        *cube, *key, *var, *tmp, *piece;
-    DdNode        *res;
-    int            i, lastsub;
-
-    /* The cache entry for this function is composed of three parts:
-    ** f itself, the replacement relation, and the cube of the
-    ** variables being substituted.
-    ** The replacement relation is the product of the terms (yi EXNOR gi).
-    ** This apporach allows us to use the global cache for this function,
-    ** with great savings in memory with respect to using arrays for the
-    ** cache entries.
-    ** First we build replacement relation and cube of substituted
-    ** variables from the vector specifying the desired composition.
-    */
-    key = DD_ONE(dd);
-    cuddRef(key);
-    cube = DD_ONE(dd);
-    cuddRef(cube);
-    for (i = (int) dd->size - 1; i >= 0; i--) {
-    if (ddIsIthAddVar(dd,vector[i],(unsigned int)i)) {
-        continue;
-    }
-    var = Cudd_addIthVar(dd,i);
-    if (var == NULL) {
-        Cudd_RecursiveDeref(dd,key);
-        Cudd_RecursiveDeref(dd,cube);
-        return(NULL);
-    }
-    cuddRef(var);
-    /* Update cube. */
-    tmp = Cudd_addApply(dd,Cudd_addTimes,var,cube);
-    if (tmp == NULL) {
-        Cudd_RecursiveDeref(dd,key);
-        Cudd_RecursiveDeref(dd,cube);
-        Cudd_RecursiveDeref(dd,var);
-        return(NULL);
-    }
-    cuddRef(tmp);
-    Cudd_RecursiveDeref(dd,cube);
-    cube = tmp;
-    /* Update replacement relation. */
-    piece = Cudd_addApply(dd,Cudd_addXnor,var,vector[i]);
-    if (piece == NULL) {
-        Cudd_RecursiveDeref(dd,key);
-        Cudd_RecursiveDeref(dd,var);
-        return(NULL);
-    }
-    cuddRef(piece);
-    Cudd_RecursiveDeref(dd,var);
-    tmp = Cudd_addApply(dd,Cudd_addTimes,key,piece);
-    if (tmp == NULL) {
-        Cudd_RecursiveDeref(dd,key);
-        Cudd_RecursiveDeref(dd,piece);
-        return(NULL);
-    }
-    cuddRef(tmp);
-    Cudd_RecursiveDeref(dd,key);
-    Cudd_RecursiveDeref(dd,piece);
-    key = tmp;
-    }
-
-    /* Now try composition, until no reordering occurs. */
-    do {
-    /* Find real substitution with largest index. */
-    for (lastsub = dd->size - 1; lastsub >= 0; lastsub--) {
-        if (!ddIsIthAddVar(dd,vector[lastsub],(unsigned int)lastsub)) {
-        break;
-        }
-    }
-
-    /* Recursively solve the problem. */
-    dd->reordered = 0;
-    res = cuddAddNonSimComposeRecur(dd,f,vector,key,cube,lastsub+1);
-    if (res != NULL) cuddRef(res);
-
-    } while (dd->reordered == 1);
-
-    Cudd_RecursiveDeref(dd,key);
-    Cudd_RecursiveDeref(dd,cube);
-    if (res != NULL) cuddDeref(res);
-    return(res);
-
-} /* end of Cudd_addNonSimCompose */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Composes a BDD with a vector of BDDs.]
-
-  Description [Given a vector of BDDs, creates a new BDD by
-  substituting the BDDs for the variables of the BDD f.  There
-  should be an entry in vector for each variable in the manager.
-  If no substitution is sought for a given variable, the corresponding
-  projection function should be specified in the vector.
-  This function implements simultaneous composition.
-  Returns a pointer to the resulting BDD if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddPermute Cudd_bddCompose Cudd_addVectorCompose]
-
-******************************************************************************/
-DdNode *
-Cudd_bddVectorCompose(
-  DdManager * dd,
-  DdNode * f,
-  DdNode ** vector)
-{
-    DdHashTable        *table;
-    DdNode        *res;
-    int            deepest;
-    int                 i;
-
-    do {
-    dd->reordered = 0;
-    /* Initialize local cache. */
-    table = cuddHashTableInit(dd,1,2);
-    if (table == NULL) return(NULL);
-
-    /* Find deepest real substitution. */
-    for (deepest = dd->size - 1; deepest >= 0; deepest--) {
-        i = dd->invperm[deepest];
-        if (vector[i] != dd->vars[i]) {
-        break;
-        }
-    }
-
-    /* Recursively solve the problem. */
-    res = cuddBddVectorComposeRecur(dd,table,f,vector, deepest);
-    if (res != NULL) cuddRef(res);
-
-    /* Dispose of local cache. */
-    cuddHashTableQuit(table);
-    } while (dd->reordered == 1);
-
-    if (res != NULL) cuddDeref(res);
-    return(res);
-
-} /* end of Cudd_bddVectorCompose */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_bddCompose.]
-
-  Description [Performs the recursive step of Cudd_bddCompose.
-  Exploits the fact that the composition of f' with g
-  produces the complement of the composition of f with g to better
-  utilize the cache.  Returns the composed BDD if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddCompose]
-
-******************************************************************************/
-DdNode *
-cuddBddComposeRecur(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g,
-  DdNode * proj)
-{
-    DdNode    *F, *G, *f1, *f0, *g1, *g0, *r, *t, *e;
-    unsigned int v, topf, topg, topindex;
-    int        comple;
-
-    statLine(dd);
-    v = dd->perm[proj->index];
-    F = Cudd_Regular(f);
-    topf = cuddI(dd,F->index);
-
-    /* Terminal case. Subsumes the test for constant f. */
-    if (topf > v) return(f);
-
-    /* We solve the problem for a regular pointer, and then complement
-    ** the result if the pointer was originally complemented.
-    */
-    comple = Cudd_IsComplement(f);
-
-    /* Check cache. */
-    r = cuddCacheLookup(dd,DD_BDD_COMPOSE_RECUR_TAG,F,g,proj);
-    if (r != NULL) {
-    return(Cudd_NotCond(r,comple));
-    }
-
-    if (topf == v) {
-    /* Compose. */
-    f1 = cuddT(F);
-    f0 = cuddE(F);
-    r = cuddBddIteRecur(dd, g, f1, f0);
-    if (r == NULL) return(NULL);
-    } else {
-    /* Compute cofactors of f and g. Remember the index of the top
-    ** variable.
-    */
-    G = Cudd_Regular(g);
-    topg = cuddI(dd,G->index);
-    if (topf > topg) {
-        topindex = G->index;
-        f1 = f0 = F;
-    } else {
-        topindex = F->index;
-        f1 = cuddT(F);
-        f0 = cuddE(F);
-    }
-    if (topg > topf) {
-        g1 = g0 = g;
-    } else {
-        g1 = cuddT(G);
-        g0 = cuddE(G);
-        if (g != G) {
-        g1 = Cudd_Not(g1);
-        g0 = Cudd_Not(g0);
-        }
-    }
-    /* Recursive step. */
-    t = cuddBddComposeRecur(dd, f1, g1, proj);
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-    e = cuddBddComposeRecur(dd, f0, g0, proj);
-    if (e == NULL) {
-        Cudd_IterDerefBdd(dd, t);
-        return(NULL);
-    }
-    cuddRef(e);
-
-    r = cuddBddIteRecur(dd, dd->vars[topindex], t, e);
-    if (r == NULL) {
-        Cudd_IterDerefBdd(dd, t);
-        Cudd_IterDerefBdd(dd, e);
-        return(NULL);
-    }
-    cuddRef(r);
-    Cudd_IterDerefBdd(dd, t); /* t & e not necessarily part of r */
-    Cudd_IterDerefBdd(dd, e);
-    cuddDeref(r);
-    }
-
-    cuddCacheInsert(dd,DD_BDD_COMPOSE_RECUR_TAG,F,g,proj,r);
-
-    return(Cudd_NotCond(r,comple));
-
-} /* end of cuddBddComposeRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_addCompose.]
-
-  Description [Performs the recursive step of Cudd_addCompose.
-  Returns the composed BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addCompose]
-
-******************************************************************************/
-DdNode *
-cuddAddComposeRecur(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g,
-  DdNode * proj)
-{
-    DdNode *f1, *f0, *g1, *g0, *r, *t, *e;
-    unsigned int v, topf, topg, topindex;
-
-    statLine(dd);
-    v = dd->perm[proj->index];
-    topf = cuddI(dd,f->index);
-
-    /* Terminal case. Subsumes the test for constant f. */
-    if (topf > v) return(f);
-
-    /* Check cache. */
-    r = cuddCacheLookup(dd,DD_ADD_COMPOSE_RECUR_TAG,f,g,proj);
-    if (r != NULL) {
-    return(r);
-    }
-
-    if (topf == v) {
-    /* Compose. */
-    f1 = cuddT(f);
-    f0 = cuddE(f);
-    r = cuddAddIteRecur(dd, g, f1, f0);
-    if (r == NULL) return(NULL);
-    } else {
-    /* Compute cofactors of f and g. Remember the index of the top
-    ** variable.
-    */
-    topg = cuddI(dd,g->index);
-    if (topf > topg) {
-        topindex = g->index;
-        f1 = f0 = f;
-    } else {
-        topindex = f->index;
-        f1 = cuddT(f);
-        f0 = cuddE(f);
-    }
-    if (topg > topf) {
-        g1 = g0 = g;
-    } else {
-        g1 = cuddT(g);
-        g0 = cuddE(g);
-    }
-    /* Recursive step. */
-    t = cuddAddComposeRecur(dd, f1, g1, proj);
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-    e = cuddAddComposeRecur(dd, f0, g0, proj);
-    if (e == NULL) {
-        Cudd_RecursiveDeref(dd, t);
-        return(NULL);
-    }
-    cuddRef(e);
-
-    if (t == e) {
-        r = t;
-    } else {
-        r = cuddUniqueInter(dd, (int) topindex, t, e);
-        if (r == NULL) {
-        Cudd_RecursiveDeref(dd, t);
-        Cudd_RecursiveDeref(dd, e);
-        return(NULL);
-        }
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-    }
-
-    cuddCacheInsert(dd,DD_ADD_COMPOSE_RECUR_TAG,f,g,proj,r);
-
-    return(r);
-
-} /* end of cuddAddComposeRecur */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implements the recursive step of Cudd_addPermute.]
-
-  Description [ Recursively puts the ADD in the order given in the
-  array permut. Checks for trivial cases to terminate recursion, then
-  splits on the children of this node.  Once the solutions for the
-  children are obtained, it puts into the current position the node
-  from the rest of the ADD that should be here. Then returns this ADD.
-  The key here is that the node being visited is NOT put in its proper
-  place by this instance, but rather is switched when its proper
-  position is reached in the recursion tree.<p>
-  The DdNode * that is returned is the same ADD as passed in as node,
-  but in the new order.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addPermute cuddBddPermuteRecur]
-
-******************************************************************************/
-static DdNode *
-cuddAddPermuteRecur(
-  DdManager * manager /* DD manager */,
-  DdHashTable * table /* computed table */,
-  DdNode * node /* ADD to be reordered */,
-  int * permut /* permutation array */)
-{
-    DdNode    *T,*E;
-    DdNode    *res,*var;
-    int        index;
-    
-    statLine(manager);
-    /* Check for terminal case of constant node. */
-    if (cuddIsConstant(node)) {
-    return(node);
-    }
-
-    /* If problem already solved, look up answer and return. */
-    if (node->ref != 1 && (res = cuddHashTableLookup1(table,node)) != NULL) {
-#ifdef DD_DEBUG
-    addPermuteRecurHits++;
-#endif
-    return(res);
-    }
-
-    /* Split and recur on children of this node. */
-    T = cuddAddPermuteRecur(manager,table,cuddT(node),permut);
-    if (T == NULL) return(NULL);
-    cuddRef(T);
-    E = cuddAddPermuteRecur(manager,table,cuddE(node),permut);
-    if (E == NULL) {
-    Cudd_RecursiveDeref(manager, T);
-    return(NULL);
-    }
-    cuddRef(E);
-
-    /* Move variable that should be in this position to this position
-    ** by creating a single var ADD for that variable, and calling
-    ** cuddAddIteRecur with the T and E we just created.
-    */
-    index = permut[node->index];
-    var = cuddUniqueInter(manager,index,DD_ONE(manager),DD_ZERO(manager));
-    if (var == NULL) return(NULL);
-    cuddRef(var);
-    res = cuddAddIteRecur(manager,var,T,E);
-    if (res == NULL) {
-    Cudd_RecursiveDeref(manager,var);
-    Cudd_RecursiveDeref(manager, T);
-    Cudd_RecursiveDeref(manager, E);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(manager,var);
-    Cudd_RecursiveDeref(manager, T);
-    Cudd_RecursiveDeref(manager, E);
-
-    /* Do not keep the result if the reference count is only 1, since
-    ** it will not be visited again.
-    */
-    if (node->ref != 1) {
-    ptrint fanout = (ptrint) node->ref;
-    cuddSatDec(fanout);
-    if (!cuddHashTableInsert1(table,node,res,fanout)) {
-        Cudd_RecursiveDeref(manager, res);
-        return(NULL);
-    }
-    }
-    cuddDeref(res);
-    return(res);
-
-} /* end of cuddAddPermuteRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implements the recursive step of Cudd_bddPermute.]
-
-  Description [ Recursively puts the BDD in the order given in the array permut.
-  Checks for trivial cases to terminate recursion, then splits on the
-  children of this node.  Once the solutions for the children are
-  obtained, it puts into the current position the node from the rest of
-  the BDD that should be here. Then returns this BDD.
-  The key here is that the node being visited is NOT put in its proper
-  place by this instance, but rather is switched when its proper position
-  is reached in the recursion tree.<p>
-  The DdNode * that is returned is the same BDD as passed in as node,
-  but in the new order.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddPermute cuddAddPermuteRecur]
-
-******************************************************************************/
-static DdNode *
-cuddBddPermuteRecur(
-  DdManager * manager /* DD manager */,
-  DdHashTable * table /* computed table */,
-  DdNode * node /* BDD to be reordered */,
-  int * permut /* permutation array */)
-{
-    DdNode    *N,*T,*E;
-    DdNode    *res;
-    int        index;
-
-    statLine(manager);
-    N = Cudd_Regular(node);
-
-    /* Check for terminal case of constant node. */
-    if (cuddIsConstant(N)) {
-    return(node);
-    }
-
-    /* If problem already solved, look up answer and return. */
-    if (N->ref != 1 && (res = cuddHashTableLookup1(table,N)) != NULL) {
-#ifdef DD_DEBUG
-    bddPermuteRecurHits++;
-#endif
-    return(Cudd_NotCond(res,N != node));
-    }
-
-    /* Split and recur on children of this node. */
-    T = cuddBddPermuteRecur(manager,table,cuddT(N),permut);
-    if (T == NULL) return(NULL);
-    cuddRef(T);
-    E = cuddBddPermuteRecur(manager,table,cuddE(N),permut);
-    if (E == NULL) {
-    Cudd_IterDerefBdd(manager, T);
-    return(NULL);
-    }
-    cuddRef(E);
-
-    /* Move variable that should be in this position to this position
-    ** by retrieving the single var BDD for that variable, and calling
-    ** cuddBddIteRecur with the T and E we just created.
-    */
-    index = permut[N->index];
-    res = cuddBddIteRecur(manager,manager->vars[index],T,E);
-    if (res == NULL) {
-    Cudd_IterDerefBdd(manager, T);
-    Cudd_IterDerefBdd(manager, E);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_IterDerefBdd(manager, T);
-    Cudd_IterDerefBdd(manager, E);
-
-    /* Do not keep the result if the reference count is only 1, since
-    ** it will not be visited again.
-    */
-    if (N->ref != 1) {
-    ptrint fanout = (ptrint) N->ref;
-    cuddSatDec(fanout);
-    if (!cuddHashTableInsert1(table,N,res,fanout)) {
-        Cudd_IterDerefBdd(manager, res);
-        return(NULL);
-    }
-    }
-    cuddDeref(res);
-    return(Cudd_NotCond(res,N != node));
-
-} /* end of cuddBddPermuteRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implements the recursive step of Cudd_bddVarMap.]
-
-  Description [Implements the recursive step of Cudd_bddVarMap.
-  Returns a pointer to the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddVarMap]
-
-******************************************************************************/
-static DdNode *
-cuddBddVarMapRecur(
-  DdManager *manager /* DD manager */,
-  DdNode *f /* BDD to be remapped */)
-{
-    DdNode    *F, *T, *E;
-    DdNode    *res;
-    int        index;
-
-    statLine(manager);
-    F = Cudd_Regular(f);
-
-    /* Check for terminal case of constant node. */
-    if (cuddIsConstant(F)) {
-    return(f);
-    }
-
-    /* If problem already solved, look up answer and return. */
-    if (F->ref != 1 &&
-    (res = cuddCacheLookup1(manager,Cudd_bddVarMap,F)) != NULL) {
-    return(Cudd_NotCond(res,F != f));
-    }
-
-    /* Split and recur on children of this node. */
-    T = cuddBddVarMapRecur(manager,cuddT(F));
-    if (T == NULL) return(NULL);
-    cuddRef(T);
-    E = cuddBddVarMapRecur(manager,cuddE(F));
-    if (E == NULL) {
-    Cudd_IterDerefBdd(manager, T);
-    return(NULL);
-    }
-    cuddRef(E);
-
-    /* Move variable that should be in this position to this position
-    ** by retrieving the single var BDD for that variable, and calling
-    ** cuddBddIteRecur with the T and E we just created.
-    */
-    index = manager->map[F->index];
-    res = cuddBddIteRecur(manager,manager->vars[index],T,E);
-    if (res == NULL) {
-    Cudd_IterDerefBdd(manager, T);
-    Cudd_IterDerefBdd(manager, E);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_IterDerefBdd(manager, T);
-    Cudd_IterDerefBdd(manager, E);
-
-    /* Do not keep the result if the reference count is only 1, since
-    ** it will not be visited again.
-    */
-    if (F->ref != 1) {
-    cuddCacheInsert1(manager,Cudd_bddVarMap,F,res);
-    }
-    cuddDeref(res);
-    return(Cudd_NotCond(res,F != f));
-
-} /* end of cuddBddVarMapRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_addVectorCompose.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static DdNode *
-cuddAddVectorComposeRecur(
-  DdManager * dd /* DD manager */,
-  DdHashTable * table /* computed table */,
-  DdNode * f /* ADD in which to compose */,
-  DdNode ** vector /* functions to substitute */,
-  int  deepest /* depth of deepest substitution */)
-{
-    DdNode    *T,*E;
-    DdNode    *res;
-
-    statLine(dd);
-    /* If we are past the deepest substitution, return f. */
-    if (cuddI(dd,f->index) > deepest) {
-    return(f);
-    }
-
-    if ((res = cuddHashTableLookup1(table,f)) != NULL) {
-#ifdef DD_DEBUG
-    addVectorComposeHits++;
-#endif
-    return(res);
-    }
-
-    /* Split and recur on children of this node. */
-    T = cuddAddVectorComposeRecur(dd,table,cuddT(f),vector,deepest);
-    if (T == NULL)  return(NULL);
-    cuddRef(T);
-    E = cuddAddVectorComposeRecur(dd,table,cuddE(f),vector,deepest);
-    if (E == NULL) {
-    Cudd_RecursiveDeref(dd, T);
-    return(NULL);
-    }
-    cuddRef(E);
-
-    /* Retrieve the 0-1 ADD for the current top variable and call
-    ** cuddAddIteRecur with the T and E we just created.
-    */
-    res = cuddAddIteRecur(dd,vector[f->index],T,E);
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd, T);
-    Cudd_RecursiveDeref(dd, E);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(dd, T);
-    Cudd_RecursiveDeref(dd, E);
-
-    /* Do not keep the result if the reference count is only 1, since
-    ** it will not be visited again
-    */
-    if (f->ref != 1) {
-    ptrint fanout = (ptrint) f->ref;
-    cuddSatDec(fanout);
-    if (!cuddHashTableInsert1(table,f,res,fanout)) {
-        Cudd_RecursiveDeref(dd, res);
-        return(NULL);
-    }
-    }
-    cuddDeref(res);
-    return(res);
-
-} /* end of cuddAddVectorComposeRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_addGeneralVectorCompose.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static DdNode *
-cuddAddGeneralVectorComposeRecur(
-  DdManager * dd /* DD manager */,
-  DdHashTable * table /* computed table */,
-  DdNode * f /* ADD in which to compose */,
-  DdNode ** vectorOn /* functions to substitute for x_i */,
-  DdNode ** vectorOff /* functions to substitute for x_i' */,
-  int  deepest /* depth of deepest substitution */)
-{
-    DdNode    *T,*E,*t,*e;
-    DdNode    *res;
-
-    /* If we are past the deepest substitution, return f. */
-    if (cuddI(dd,f->index) > deepest) {
-    return(f);
-    }
-
-    if ((res = cuddHashTableLookup1(table,f)) != NULL) {
-#ifdef DD_DEBUG
-    addGeneralVectorComposeHits++;
-#endif
-    return(res);
-    }
-
-    /* Split and recur on children of this node. */
-    T = cuddAddGeneralVectorComposeRecur(dd,table,cuddT(f),
-                     vectorOn,vectorOff,deepest);
-    if (T == NULL)  return(NULL);
-    cuddRef(T);
-    E = cuddAddGeneralVectorComposeRecur(dd,table,cuddE(f),
-                     vectorOn,vectorOff,deepest);
-    if (E == NULL) {
-    Cudd_RecursiveDeref(dd, T);
-    return(NULL);
-    }
-    cuddRef(E);
-
-    /* Retrieve the compose ADDs for the current top variable and call
-    ** cuddAddApplyRecur with the T and E we just created.
-    */
-    t = cuddAddApplyRecur(dd,Cudd_addTimes,vectorOn[f->index],T);
-    if (t == NULL) {
-      Cudd_RecursiveDeref(dd,T);
-      Cudd_RecursiveDeref(dd,E);
-      return(NULL);
-    }
-    cuddRef(t);
-    e = cuddAddApplyRecur(dd,Cudd_addTimes,vectorOff[f->index],E);
-    if (e == NULL) {
-      Cudd_RecursiveDeref(dd,T);
-      Cudd_RecursiveDeref(dd,E);
-      Cudd_RecursiveDeref(dd,t);
-      return(NULL);
-    }
-    cuddRef(e);
-    res = cuddAddApplyRecur(dd,Cudd_addPlus,t,e);
-    if (res == NULL) {
-      Cudd_RecursiveDeref(dd,T);
-      Cudd_RecursiveDeref(dd,E);
-      Cudd_RecursiveDeref(dd,t);
-      Cudd_RecursiveDeref(dd,e);
-      return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(dd,T);
-    Cudd_RecursiveDeref(dd,E);
-    Cudd_RecursiveDeref(dd,t);
-    Cudd_RecursiveDeref(dd,e);
-
-    /* Do not keep the result if the reference count is only 1, since
-    ** it will not be visited again
-    */
-    if (f->ref != 1) {
-    ptrint fanout = (ptrint) f->ref;
-    cuddSatDec(fanout);
-    if (!cuddHashTableInsert1(table,f,res,fanout)) {
-        Cudd_RecursiveDeref(dd, res);
-        return(NULL);
-    }
-    }
-    cuddDeref(res);
-    return(res);
-
-} /* end of cuddAddGeneralVectorComposeRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_addNonSimCompose.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static DdNode *
-cuddAddNonSimComposeRecur(
-  DdManager * dd,
-  DdNode * f,
-  DdNode ** vector,
-  DdNode * key,
-  DdNode * cube,
-  int  lastsub)
-{
-    DdNode *f1, *f0, *key1, *key0, *cube1, *var;
-    DdNode *T,*E;
-    DdNode *r;
-    unsigned int top, topf, topk, topc;
-    unsigned int index;
-    int i;
-    DdNode **vect1;
-    DdNode **vect0;
-
-    statLine(dd);
-    /* If we are past the deepest substitution, return f. */
-    if (cube == DD_ONE(dd) || cuddIsConstant(f)) {
-    return(f);
-    }
-
-    /* If problem already solved, look up answer and return. */
-    r = cuddCacheLookup(dd,DD_ADD_NON_SIM_COMPOSE_TAG,f,key,cube);
-    if (r != NULL) {
-    return(r);
-    }
-
-    /* Find top variable. we just need to look at f, key, and cube,
-    ** because all the varibles in the gi are in key.
-    */
-    topf = cuddI(dd,f->index);
-    topk = cuddI(dd,key->index);
-    top = ddMin(topf,topk);
-    topc = cuddI(dd,cube->index);
-    top = ddMin(top,topc);
-    index = dd->invperm[top];
-
-    /* Compute the cofactors. */
-    if (topf == top) {
-    f1 = cuddT(f);
-    f0 = cuddE(f);
-    } else {
-    f1 = f0 = f;
-    }
-    if (topc == top) {
-    cube1 = cuddT(cube);
-    /* We want to eliminate vector[index] from key. Otherwise
-    ** cache performance is severely affected. Hence we
-    ** existentially quantify the variable with index "index" from key.
-    */
-    var = Cudd_addIthVar(dd, (int) index);
-    if (var == NULL) {
-        return(NULL);
-    }
-    cuddRef(var);
-    key1 = cuddAddExistAbstractRecur(dd, key, var);
-    if (key1 == NULL) {
-        Cudd_RecursiveDeref(dd,var);
-        return(NULL);
-    }
-    cuddRef(key1);
-    Cudd_RecursiveDeref(dd,var);
-    key0 = key1;
-    } else {
-    cube1 = cube;
-    if (topk == top) {
-        key1 = cuddT(key);
-        key0 = cuddE(key);
-    } else {
-        key1 = key0 = key;
-    }
-    cuddRef(key1);
-    }
-
-    /* Allocate two new vectors for the cofactors of vector. */
-    vect1 = ALLOC(DdNode *,lastsub);
-    if (vect1 == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    Cudd_RecursiveDeref(dd,key1);
-    return(NULL);
-    }
-    vect0 = ALLOC(DdNode *,lastsub);
-    if (vect0 == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    Cudd_RecursiveDeref(dd,key1);
-    FREE(vect1);
-    return(NULL);
-    }
-
-    /* Cofactor the gi. Eliminate vect1[index] and vect0[index], because
-    ** we do not need them.
-    */
-    for (i = 0; i < lastsub; i++) {
-    DdNode *gi = vector[i];
-    if (gi == NULL) {
-        vect1[i] = vect0[i] = NULL;
-    } else if (gi->index == index) {
-        vect1[i] = cuddT(gi);
-        vect0[i] = cuddE(gi);
-    } else {
-        vect1[i] = vect0[i] = gi;
-    }
-    }
-    vect1[index] = vect0[index] = NULL;
-
-    /* Recur on children. */
-    T = cuddAddNonSimComposeRecur(dd,f1,vect1,key1,cube1,lastsub);
-    FREE(vect1);
-    if (T == NULL) {
-    Cudd_RecursiveDeref(dd,key1);
-    FREE(vect0);
-    return(NULL);
-    }
-    cuddRef(T);
-    E = cuddAddNonSimComposeRecur(dd,f0,vect0,key0,cube1,lastsub);
-    FREE(vect0);
-    if (E == NULL) {
-    Cudd_RecursiveDeref(dd,key1);
-    Cudd_RecursiveDeref(dd,T);
-    return(NULL);
-    }
-    cuddRef(E);
-    Cudd_RecursiveDeref(dd,key1);
-
-    /* Retrieve the 0-1 ADD for the current top variable from vector,
-    ** and call cuddAddIteRecur with the T and E we just created.
-    */
-    r = cuddAddIteRecur(dd,vector[index],T,E);
-    if (r == NULL) {
-    Cudd_RecursiveDeref(dd,T);
-    Cudd_RecursiveDeref(dd,E);
-    return(NULL);
-    }
-    cuddRef(r);
-    Cudd_RecursiveDeref(dd,T);
-    Cudd_RecursiveDeref(dd,E);
-    cuddDeref(r);
-
-    /* Store answer to trim recursion. */
-    cuddCacheInsert(dd,DD_ADD_NON_SIM_COMPOSE_TAG,f,key,cube,r);
-
-    return(r);
-
-} /* end of cuddAddNonSimComposeRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_bddVectorCompose.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static DdNode *
-cuddBddVectorComposeRecur(
-  DdManager * dd /* DD manager */,
-  DdHashTable * table /* computed table */,
-  DdNode * f /* BDD in which to compose */,
-  DdNode ** vector /* functions to be composed */,
-  int deepest /* depth of the deepest substitution */)
-{
-    DdNode    *F,*T,*E;
-    DdNode    *res;
-
-    statLine(dd);
-    F = Cudd_Regular(f);
-
-    /* If we are past the deepest substitution, return f. */
-    if (cuddI(dd,F->index) > deepest) {
-    return(f);
-    }
-
-    /* If problem already solved, look up answer and return. */
-    if ((res = cuddHashTableLookup1(table,F)) != NULL) {
-#ifdef DD_DEBUG
-    bddVectorComposeHits++;
-#endif
-    return(Cudd_NotCond(res,F != f));
-    }
-
-    /* Split and recur on children of this node. */
-    T = cuddBddVectorComposeRecur(dd,table,cuddT(F),vector, deepest);
-    if (T == NULL) return(NULL);
-    cuddRef(T);
-    E = cuddBddVectorComposeRecur(dd,table,cuddE(F),vector, deepest);
-    if (E == NULL) {
-    Cudd_IterDerefBdd(dd, T);
-    return(NULL);
-    }
-    cuddRef(E);
-
-    /* Call cuddBddIteRecur with the BDD that replaces the current top
-    ** variable and the T and E we just created.
-    */
-    res = cuddBddIteRecur(dd,vector[F->index],T,E);
-    if (res == NULL) {
-    Cudd_IterDerefBdd(dd, T);
-    Cudd_IterDerefBdd(dd, E);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_IterDerefBdd(dd, T);
-    Cudd_IterDerefBdd(dd, E);    
-
-    /* Do not keep the result if the reference count is only 1, since
-    ** it will not be visited again.
-    */
-    if (F->ref != 1) {
-    ptrint fanout = (ptrint) F->ref;
-    cuddSatDec(fanout);
-    if (!cuddHashTableInsert1(table,F,res,fanout)) {
-        Cudd_IterDerefBdd(dd, res);
-        return(NULL);
-    }
-    }
-    cuddDeref(res);
-    return(Cudd_NotCond(res,F != f));
-
-} /* end of cuddBddVectorComposeRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Comparison of a function to the i-th ADD variable.]
-
-  Description [Comparison of a function to the i-th ADD variable. Returns 1 if
-  the function is the i-th ADD variable; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DD_INLINE
-static int
-ddIsIthAddVar(
-  DdManager * dd,
-  DdNode * f,
-  unsigned int  i)
-{
-    return(f->index == i && cuddT(f) == DD_ONE(dd) && cuddE(f) == DD_ZERO(dd));
-
-} /* end of ddIsIthAddVar */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Comparison of a pair of functions to the i-th ADD variable.]
-
-  Description [Comparison of a pair of functions to the i-th ADD
-  variable. Returns 1 if the functions are the i-th ADD variable and its
-  complement; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DD_INLINE
-static int
-ddIsIthAddVarPair(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g,
-  unsigned int  i)
-{
-    return(f->index == i && g->index == i && 
-       cuddT(f) == DD_ONE(dd) && cuddE(f) == DD_ZERO(dd) &&
-       cuddT(g) == DD_ZERO(dd) && cuddE(g) == DD_ONE(dd));
-
-} /* end of ddIsIthAddVarPair */
diff --git a/src/bdd/cudd/cuddDecomp.c b/src/bdd/cudd/cuddDecomp.c
deleted file mode 100644
index 4fde7392..00000000
--- a/src/bdd/cudd/cuddDecomp.c
+++ /dev/null
@@ -1,2150 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddDecomp.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions for BDD decomposition.]
-
-  Description [External procedures included in this file:
-        <ul>
-        <li> Cudd_bddApproxConjDecomp()
-        <li> Cudd_bddApproxDisjDecomp()
-        <li> Cudd_bddIterConjDecomp()
-        <li> Cudd_bddIterDisjDecomp()
-        <li> Cudd_bddGenConjDecomp()
-        <li> Cudd_bddGenDisjDecomp()
-        <li> Cudd_bddVarConjDecomp()
-        <li> Cudd_bddVarDisjDecomp()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> cuddConjunctsAux()
-        <li> CreateBotDist()
-        <li> BuildConjuncts()
-        <li> ConjunctsFree()
-        </ul>]
-
-  Author      [Kavita Ravi, Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-#define DEPTH 5
-#define THRESHOLD 10
-#define NONE 0
-#define PAIR_ST 1
-#define PAIR_CR 2
-#define G_ST 3
-#define G_CR 4
-#define H_ST 5
-#define H_CR 6
-#define BOTH_G 7
-#define BOTH_H 8
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-typedef struct Conjuncts {
-    DdNode *g;
-    DdNode *h;
-} Conjuncts;
-
-typedef struct  NodeStat {
-    int distance;
-    int localRef;
-} NodeStat;
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddDecomp.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $";
-#endif
-
-static    DdNode    *one, *zero;
-long lastTimeG;
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-#define FactorsNotStored(factors)  ((int)((long)(factors) & 01))
-
-#define FactorsComplement(factors) ((Conjuncts *)((long)(factors) | 01))
-
-#define FactorsUncomplement(factors) ((Conjuncts *)((long)(factors) ^ 01))
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static NodeStat * CreateBotDist ARGS((DdNode * node, st_table * distanceTable));
-static double CountMinterms ARGS((DdNode * node, double max, st_table * mintermTable, FILE *fp));
-static void ConjunctsFree ARGS((DdManager * dd, Conjuncts * factors));
-static int PairInTables ARGS((DdNode * g, DdNode * h, st_table * ghTable));
-static Conjuncts * CheckTablesCacheAndReturn ARGS((DdNode * node, DdNode * g, DdNode * h, st_table * ghTable, st_table * cacheTable));
-static Conjuncts * PickOnePair ARGS((DdNode * node, DdNode * g1, DdNode * h1, DdNode * g2, DdNode * h2, st_table * ghTable, st_table * cacheTable));
-static Conjuncts * CheckInTables ARGS((DdNode * node, DdNode * g1, DdNode * h1, DdNode * g2, DdNode * h2, st_table * ghTable, st_table * cacheTable, int * outOfMem));
-static Conjuncts * ZeroCase ARGS((DdManager * dd, DdNode * node, Conjuncts * factorsNv, st_table * ghTable, st_table * cacheTable, int switched));
-static Conjuncts * BuildConjuncts ARGS((DdManager * dd, DdNode * node, st_table * distanceTable, st_table * cacheTable, int approxDistance, int maxLocalRef, st_table * ghTable, st_table * mintermTable));
-static int cuddConjunctsAux ARGS((DdManager * dd, DdNode * f, DdNode ** c1, DdNode ** c2));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs two-way conjunctive decomposition of a BDD.]
-
-  Description [Performs two-way conjunctive decomposition of a
-  BDD. This procedure owes its name to the use of supersetting to
-  obtain an initial factor of the given function. Returns the number
-  of conjuncts produced, that is, 2 if successful; 1 if no meaningful
-  decomposition was found; 0 otherwise. The conjuncts produced by this
-  procedure tend to be imbalanced.]
-
-  SideEffects [The factors are returned in an array as side effects.
-  The array is allocated by this function. It is the caller's responsibility
-  to free it. On successful completion, the conjuncts are already
-  referenced. If the function returns 0, the array for the conjuncts is
-  not allocated. If the function returns 1, the only factor equals the
-  function to be decomposed.]
-
-  SeeAlso     [Cudd_bddApproxDisjDecomp Cudd_bddIterConjDecomp
-  Cudd_bddGenConjDecomp Cudd_bddVarConjDecomp Cudd_RemapOverApprox
-  Cudd_bddSqueeze Cudd_bddLICompaction]
-
-******************************************************************************/
-int
-Cudd_bddApproxConjDecomp(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be decomposed */,
-  DdNode *** conjuncts /* address of the first factor */)
-{
-    DdNode *superset1, *superset2, *glocal, *hlocal;
-    int nvars = Cudd_SupportSize(dd,f);
-
-    /* Find a tentative first factor by overapproximation and minimization. */
-    superset1 = Cudd_RemapOverApprox(dd,f,nvars,0,1.0);
-    if (superset1 == NULL) return(0);
-    cuddRef(superset1);
-    superset2 = Cudd_bddSqueeze(dd,f,superset1);
-    if (superset2 == NULL) {
-    Cudd_RecursiveDeref(dd,superset1);
-    return(0);
-    }
-    cuddRef(superset2);
-    Cudd_RecursiveDeref(dd,superset1);
-
-    /* Compute the second factor by minimization. */
-    hlocal = Cudd_bddLICompaction(dd,f,superset2);
-    if (hlocal == NULL) {
-    Cudd_RecursiveDeref(dd,superset2);
-    return(0);
-    }
-    cuddRef(hlocal);
-
-    /* Refine the first factor by minimization. If h turns out to be f, this
-    ** step guarantees that g will be 1. */
-    glocal = Cudd_bddLICompaction(dd,superset2,hlocal);
-    if (glocal == NULL) {
-    Cudd_RecursiveDeref(dd,superset2);
-    Cudd_RecursiveDeref(dd,hlocal);
-    return(0);
-    }
-    cuddRef(glocal);
-    Cudd_RecursiveDeref(dd,superset2);
-
-    if (glocal != DD_ONE(dd)) {
-    if (hlocal != DD_ONE(dd)) {
-        *conjuncts = ALLOC(DdNode *,2);
-        if (*conjuncts == NULL) {
-        Cudd_RecursiveDeref(dd,glocal);
-        Cudd_RecursiveDeref(dd,hlocal);
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        (*conjuncts)[0] = glocal;
-        (*conjuncts)[1] = hlocal;
-        return(2);
-    } else {
-        Cudd_RecursiveDeref(dd,hlocal);
-        *conjuncts = ALLOC(DdNode *,1);
-        if (*conjuncts == NULL) {
-        Cudd_RecursiveDeref(dd,glocal);
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        (*conjuncts)[0] = glocal;
-        return(1);
-    }
-    } else {
-    Cudd_RecursiveDeref(dd,glocal);
-    *conjuncts = ALLOC(DdNode *,1);
-    if (*conjuncts == NULL) {
-        Cudd_RecursiveDeref(dd,hlocal);
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    (*conjuncts)[0] = hlocal;
-    return(1);
-    }
-
-} /* end of Cudd_bddApproxConjDecomp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs two-way disjunctive decomposition of a BDD.]
-
-  Description [Performs two-way disjunctive decomposition of a BDD.
-  Returns the number of disjuncts produced, that is, 2 if successful;
-  1 if no meaningful decomposition was found; 0 otherwise. The
-  disjuncts produced by this procedure tend to be imbalanced.]
-
-  SideEffects [The two disjuncts are returned in an array as side effects.
-  The array is allocated by this function. It is the caller's responsibility
-  to free it. On successful completion, the disjuncts are already
-  referenced. If the function returns 0, the array for the disjuncts is
-  not allocated. If the function returns 1, the only factor equals the
-  function to be decomposed.]
-
-  SeeAlso     [Cudd_bddApproxConjDecomp Cudd_bddIterDisjDecomp
-  Cudd_bddGenDisjDecomp Cudd_bddVarDisjDecomp]
-
-******************************************************************************/
-int
-Cudd_bddApproxDisjDecomp(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be decomposed */,
-  DdNode *** disjuncts /* address of the array of the disjuncts */)
-{
-    int result, i;
-
-    result = Cudd_bddApproxConjDecomp(dd,Cudd_Not(f),disjuncts);
-    for (i = 0; i < result; i++) {
-    (*disjuncts)[i] = Cudd_Not((*disjuncts)[i]);
-    }
-    return(result);
-
-} /* end of Cudd_bddApproxDisjDecomp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs two-way conjunctive decomposition of a BDD.]
-
-  Description [Performs two-way conjunctive decomposition of a
-  BDD. This procedure owes its name to the iterated use of
-  supersetting to obtain a factor of the given function. Returns the
-  number of conjuncts produced, that is, 2 if successful; 1 if no
-  meaningful decomposition was found; 0 otherwise. The conjuncts
-  produced by this procedure tend to be imbalanced.]
-
-  SideEffects [The factors are returned in an array as side effects.
-  The array is allocated by this function. It is the caller's responsibility
-  to free it. On successful completion, the conjuncts are already
-  referenced. If the function returns 0, the array for the conjuncts is
-  not allocated. If the function returns 1, the only factor equals the
-  function to be decomposed.]
-
-  SeeAlso     [Cudd_bddIterDisjDecomp Cudd_bddApproxConjDecomp
-  Cudd_bddGenConjDecomp Cudd_bddVarConjDecomp Cudd_RemapOverApprox
-  Cudd_bddSqueeze Cudd_bddLICompaction]
-
-******************************************************************************/
-int
-Cudd_bddIterConjDecomp(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be decomposed */,
-  DdNode *** conjuncts /* address of the array of conjuncts */)
-{
-    DdNode *superset1, *superset2, *old[2], *res[2];
-    int sizeOld, sizeNew;
-    int nvars = Cudd_SupportSize(dd,f);
-
-    old[0] = DD_ONE(dd);
-    cuddRef(old[0]);
-    old[1] = f;
-    cuddRef(old[1]);
-    sizeOld = Cudd_SharingSize(old,2);
-
-    do {
-    /* Find a tentative first factor by overapproximation and
-    ** minimization. */
-    superset1 = Cudd_RemapOverApprox(dd,old[1],nvars,0,1.0);
-    if (superset1 == NULL) {
-        Cudd_RecursiveDeref(dd,old[0]);
-        Cudd_RecursiveDeref(dd,old[1]);
-        return(0);
-    }
-    cuddRef(superset1);
-    superset2 = Cudd_bddSqueeze(dd,old[1],superset1);
-    if (superset2 == NULL) {
-        Cudd_RecursiveDeref(dd,old[0]);
-        Cudd_RecursiveDeref(dd,old[1]);
-        Cudd_RecursiveDeref(dd,superset1);
-        return(0);
-    }
-    cuddRef(superset2);
-    Cudd_RecursiveDeref(dd,superset1);
-    res[0] = Cudd_bddAnd(dd,old[0],superset2);
-    if (res[0] == NULL) {
-        Cudd_RecursiveDeref(dd,superset2);
-        Cudd_RecursiveDeref(dd,old[0]);
-        Cudd_RecursiveDeref(dd,old[1]);
-        return(0);
-    }
-    cuddRef(res[0]);
-    Cudd_RecursiveDeref(dd,superset2);
-    if (res[0] == old[0]) {
-        Cudd_RecursiveDeref(dd,res[0]);
-        break;    /* avoid infinite loop */
-    }
-
-    /* Compute the second factor by minimization. */
-    res[1] = Cudd_bddLICompaction(dd,old[1],res[0]);
-    if (res[1] == NULL) {
-        Cudd_RecursiveDeref(dd,old[0]);
-        Cudd_RecursiveDeref(dd,old[1]);
-        return(0);
-    }
-    cuddRef(res[1]);
-
-    sizeNew = Cudd_SharingSize(res,2);
-    if (sizeNew <= sizeOld) {
-        Cudd_RecursiveDeref(dd,old[0]);
-        old[0] = res[0];
-        Cudd_RecursiveDeref(dd,old[1]);
-        old[1] = res[1];
-        sizeOld = sizeNew;
-    } else {
-        Cudd_RecursiveDeref(dd,res[0]);
-        Cudd_RecursiveDeref(dd,res[1]);
-        break;
-    }
-
-    } while (1);
-
-    /* Refine the first factor by minimization. If h turns out to
-    ** be f, this step guarantees that g will be 1. */
-    superset1 = Cudd_bddLICompaction(dd,old[0],old[1]);
-    if (superset1 == NULL) {
-    Cudd_RecursiveDeref(dd,old[0]);
-    Cudd_RecursiveDeref(dd,old[1]);
-    return(0);
-    }
-    cuddRef(superset1);
-    Cudd_RecursiveDeref(dd,old[0]);
-    old[0] = superset1;
-
-    if (old[0] != DD_ONE(dd)) {
-    if (old[1] != DD_ONE(dd)) {
-        *conjuncts = ALLOC(DdNode *,2);
-        if (*conjuncts == NULL) {
-        Cudd_RecursiveDeref(dd,old[0]);
-        Cudd_RecursiveDeref(dd,old[1]);
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        (*conjuncts)[0] = old[0];
-        (*conjuncts)[1] = old[1];
-        return(2);
-    } else {
-        Cudd_RecursiveDeref(dd,old[1]);
-        *conjuncts = ALLOC(DdNode *,1);
-        if (*conjuncts == NULL) {
-        Cudd_RecursiveDeref(dd,old[0]);
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        (*conjuncts)[0] = old[0];
-        return(1);
-    }
-    } else {
-    Cudd_RecursiveDeref(dd,old[0]);
-    *conjuncts = ALLOC(DdNode *,1);
-    if (*conjuncts == NULL) {
-        Cudd_RecursiveDeref(dd,old[1]);
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    (*conjuncts)[0] = old[1];
-    return(1);
-    }
-
-} /* end of Cudd_bddIterConjDecomp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs two-way disjunctive decomposition of a BDD.]
-
-  Description [Performs two-way disjunctive decomposition of a BDD.
-  Returns the number of disjuncts produced, that is, 2 if successful;
-  1 if no meaningful decomposition was found; 0 otherwise. The
-  disjuncts produced by this procedure tend to be imbalanced.]
-
-  SideEffects [The two disjuncts are returned in an array as side effects.
-  The array is allocated by this function. It is the caller's responsibility
-  to free it. On successful completion, the disjuncts are already
-  referenced. If the function returns 0, the array for the disjuncts is
-  not allocated. If the function returns 1, the only factor equals the
-  function to be decomposed.]
-
-  SeeAlso     [Cudd_bddIterConjDecomp Cudd_bddApproxDisjDecomp
-  Cudd_bddGenDisjDecomp Cudd_bddVarDisjDecomp]
-
-******************************************************************************/
-int
-Cudd_bddIterDisjDecomp(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be decomposed */,
-  DdNode *** disjuncts /* address of the array of the disjuncts */)
-{
-    int result, i;
-
-    result = Cudd_bddIterConjDecomp(dd,Cudd_Not(f),disjuncts);
-    for (i = 0; i < result; i++) {
-    (*disjuncts)[i] = Cudd_Not((*disjuncts)[i]);
-    }
-    return(result);
-
-} /* end of Cudd_bddIterDisjDecomp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs two-way conjunctive decomposition of a BDD.]
-
-  Description [Performs two-way conjunctive decomposition of a
-  BDD. This procedure owes its name to the fact tht it generalizes the
-  decomposition based on the cofactors with respect to one
-  variable. Returns the number of conjuncts produced, that is, 2 if
-  successful; 1 if no meaningful decomposition was found; 0
-  otherwise. The conjuncts produced by this procedure tend to be
-  balanced.]
-
-  SideEffects [The two factors are returned in an array as side effects.
-  The array is allocated by this function. It is the caller's responsibility
-  to free it. On successful completion, the conjuncts are already
-  referenced. If the function returns 0, the array for the conjuncts is
-  not allocated. If the function returns 1, the only factor equals the
-  function to be decomposed.]
-
-  SeeAlso     [Cudd_bddGenDisjDecomp Cudd_bddApproxConjDecomp
-  Cudd_bddIterConjDecomp Cudd_bddVarConjDecomp]
-
-******************************************************************************/
-int
-Cudd_bddGenConjDecomp(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be decomposed */,
-  DdNode *** conjuncts /* address of the array of conjuncts */)
-{
-    int result;
-    DdNode *glocal, *hlocal;
-
-    one = DD_ONE(dd);
-    zero = Cudd_Not(one);
-    
-    do {
-    dd->reordered = 0;
-    result = cuddConjunctsAux(dd, f, &glocal, &hlocal);
-    } while (dd->reordered == 1);
-
-    if (result == 0) {
-    return(0);
-    }
-
-    if (glocal != one) {
-    if (hlocal != one) {
-        *conjuncts = ALLOC(DdNode *,2);
-        if (*conjuncts == NULL) {
-        Cudd_RecursiveDeref(dd,glocal);
-        Cudd_RecursiveDeref(dd,hlocal);
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        (*conjuncts)[0] = glocal;
-        (*conjuncts)[1] = hlocal;
-        return(2);
-    } else {
-        Cudd_RecursiveDeref(dd,hlocal);
-        *conjuncts = ALLOC(DdNode *,1);
-        if (*conjuncts == NULL) {
-        Cudd_RecursiveDeref(dd,glocal);
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        (*conjuncts)[0] = glocal;
-        return(1);
-    }
-    } else {
-    Cudd_RecursiveDeref(dd,glocal);
-    *conjuncts = ALLOC(DdNode *,1);
-    if (*conjuncts == NULL) {
-        Cudd_RecursiveDeref(dd,hlocal);
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    (*conjuncts)[0] = hlocal;
-    return(1);
-    }
-
-} /* end of Cudd_bddGenConjDecomp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs two-way disjunctive decomposition of a BDD.]
-
-  Description [Performs two-way disjunctive decomposition of a BDD.
-  Returns the number of disjuncts produced, that is, 2 if successful;
-  1 if no meaningful decomposition was found; 0 otherwise. The
-  disjuncts produced by this procedure tend to be balanced.]
-
-  SideEffects [The two disjuncts are returned in an array as side effects.
-  The array is allocated by this function. It is the caller's responsibility
-  to free it. On successful completion, the disjuncts are already
-  referenced. If the function returns 0, the array for the disjuncts is
-  not allocated. If the function returns 1, the only factor equals the
-  function to be decomposed.]
-
-  SeeAlso     [Cudd_bddGenConjDecomp Cudd_bddApproxDisjDecomp
-  Cudd_bddIterDisjDecomp Cudd_bddVarDisjDecomp]
-
-******************************************************************************/
-int
-Cudd_bddGenDisjDecomp(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be decomposed */,
-  DdNode *** disjuncts /* address of the array of the disjuncts */)
-{
-    int result, i;
-
-    result = Cudd_bddGenConjDecomp(dd,Cudd_Not(f),disjuncts);
-    for (i = 0; i < result; i++) {
-    (*disjuncts)[i] = Cudd_Not((*disjuncts)[i]);
-    }
-    return(result);
-
-} /* end of Cudd_bddGenDisjDecomp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs two-way conjunctive decomposition of a BDD.]
-
-  Description [Conjunctively decomposes one BDD according to a
-  variable.  If <code>f</code> is the function of the BDD and
-  <code>x</code> is the variable, the decomposition is
-  <code>(f+x)(f+x')</code>.  The variable is chosen so as to balance
-  the sizes of the two conjuncts and to keep them small.  Returns the
-  number of conjuncts produced, that is, 2 if successful; 1 if no
-  meaningful decomposition was found; 0 otherwise.]
-
-  SideEffects [The two factors are returned in an array as side effects.
-  The array is allocated by this function. It is the caller's responsibility
-  to free it. On successful completion, the conjuncts are already
-  referenced. If the function returns 0, the array for the conjuncts is
-  not allocated. If the function returns 1, the only factor equals the
-  function to be decomposed.]
-
-  SeeAlso     [Cudd_bddVarDisjDecomp Cudd_bddGenConjDecomp
-  Cudd_bddApproxConjDecomp Cudd_bddIterConjDecomp]
-
-*****************************************************************************/
-int
-Cudd_bddVarConjDecomp(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be decomposed */,
-  DdNode *** conjuncts /* address of the array of conjuncts */)
-{
-    int best;
-    int min;
-    DdNode *support, *scan, *var, *glocal, *hlocal;
-
-    /* Find best cofactoring variable. */
-    support = Cudd_Support(dd,f);
-    if (support == NULL) return(0);
-    if (Cudd_IsConstant(support)) {
-    *conjuncts = ALLOC(DdNode *,1);
-    if (*conjuncts == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    (*conjuncts)[0] = f;
-    cuddRef((*conjuncts)[0]);
-    return(1);
-    }
-    cuddRef(support);
-    min = 1000000000;
-    best = -1;
-    scan = support;
-    while (!Cudd_IsConstant(scan)) {
-    int i = scan->index;
-    int est1 = Cudd_EstimateCofactor(dd,f,i,1);
-    int est0 = Cudd_EstimateCofactor(dd,f,i,0);
-    /* Minimize the size of the larger of the two cofactors. */
-    int est = (est1 > est0) ? est1 : est0;
-    if (est < min) {
-        min = est;
-        best = i;
-    }
-    scan = cuddT(scan);
-    }
-#ifdef DD_DEBUG
-    assert(best >= 0 && best < dd->size);
-#endif
-    Cudd_RecursiveDeref(dd,support);
-
-    var = Cudd_bddIthVar(dd,best);
-    glocal = Cudd_bddOr(dd,f,var);
-    if (glocal == NULL) {
-    return(0);
-    }
-    cuddRef(glocal);
-    hlocal = Cudd_bddOr(dd,f,Cudd_Not(var));
-    if (hlocal == NULL) {
-    Cudd_RecursiveDeref(dd,glocal);
-    return(0);
-    }
-    cuddRef(hlocal);
-
-    if (glocal != DD_ONE(dd)) {
-    if (hlocal != DD_ONE(dd)) {
-        *conjuncts = ALLOC(DdNode *,2);
-        if (*conjuncts == NULL) {
-        Cudd_RecursiveDeref(dd,glocal);
-        Cudd_RecursiveDeref(dd,hlocal);
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        (*conjuncts)[0] = glocal;
-        (*conjuncts)[1] = hlocal;
-        return(2);
-    } else {
-        Cudd_RecursiveDeref(dd,hlocal);
-        *conjuncts = ALLOC(DdNode *,1);
-        if (*conjuncts == NULL) {
-        Cudd_RecursiveDeref(dd,glocal);
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        (*conjuncts)[0] = glocal;
-        return(1);
-    }
-    } else {
-    Cudd_RecursiveDeref(dd,glocal);
-    *conjuncts = ALLOC(DdNode *,1);
-    if (*conjuncts == NULL) {
-        Cudd_RecursiveDeref(dd,hlocal);
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    (*conjuncts)[0] = hlocal;
-    return(1);
-    }
-
-} /* end of Cudd_bddVarConjDecomp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs two-way disjunctive decomposition of a BDD.]
-
-  Description [Performs two-way disjunctive decomposition of a BDD
-  according to a variable. If <code>f</code> is the function of the
-  BDD and <code>x</code> is the variable, the decomposition is
-  <code>f*x + f*x'</code>.  The variable is chosen so as to balance
-  the sizes of the two disjuncts and to keep them small.  Returns the
-  number of disjuncts produced, that is, 2 if successful; 1 if no
-  meaningful decomposition was found; 0 otherwise.]
-
-  SideEffects [The two disjuncts are returned in an array as side effects.
-  The array is allocated by this function. It is the caller's responsibility
-  to free it. On successful completion, the disjuncts are already
-  referenced. If the function returns 0, the array for the disjuncts is
-  not allocated. If the function returns 1, the only factor equals the
-  function to be decomposed.]
-
-  SeeAlso     [Cudd_bddVarConjDecomp Cudd_bddApproxDisjDecomp
-  Cudd_bddIterDisjDecomp Cudd_bddGenDisjDecomp]
-
-******************************************************************************/
-int
-Cudd_bddVarDisjDecomp(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be decomposed */,
-  DdNode *** disjuncts /* address of the array of the disjuncts */)
-{
-    int result, i;
-
-    result = Cudd_bddVarConjDecomp(dd,Cudd_Not(f),disjuncts);
-    for (i = 0; i < result; i++) {
-    (*disjuncts)[i] = Cudd_Not((*disjuncts)[i]);
-    }
-    return(result);
-
-} /* end of Cudd_bddVarDisjDecomp */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Get longest distance of node from constant.]
-
-  Description [Get longest distance of node from constant. Returns the
-  distance of the root from the constant if successful; CUDD_OUT_OF_MEM
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static NodeStat *
-CreateBotDist(
-  DdNode * node,
-  st_table * distanceTable)
-{
-    DdNode *N, *Nv, *Nnv;
-    int distance, distanceNv, distanceNnv;
-    NodeStat *nodeStat, *nodeStatNv, *nodeStatNnv;
-
-#if 0
-    if (Cudd_IsConstant(node)) {
-    return(0);
-    }
-#endif
-    
-    /* Return the entry in the table if found. */
-    N = Cudd_Regular(node);
-    if (st_lookup(distanceTable, (char *)N, (char **)&nodeStat)) {
-    nodeStat->localRef++;
-    return(nodeStat);
-    }
-
-    Nv = cuddT(N);
-    Nnv = cuddE(N);
-    Nv = Cudd_NotCond(Nv, Cudd_IsComplement(node));
-    Nnv = Cudd_NotCond(Nnv, Cudd_IsComplement(node));
-
-    /* Recur on the children. */
-    nodeStatNv = CreateBotDist(Nv, distanceTable);
-    if (nodeStatNv == NULL) return(NULL);
-    distanceNv = nodeStatNv->distance;
-
-    nodeStatNnv = CreateBotDist(Nnv, distanceTable);
-    if (nodeStatNnv == NULL) return(NULL);
-    distanceNnv = nodeStatNnv->distance;
-    /* Store max distance from constant; note sometimes this distance
-    ** may be to 0.
-    */
-    distance = (distanceNv > distanceNnv) ? (distanceNv+1) : (distanceNnv + 1);
-
-    nodeStat = ALLOC(NodeStat, 1);
-    if (nodeStat == NULL) {
-    return(0);
-    }
-    nodeStat->distance = distance;
-    nodeStat->localRef = 1;
-    
-    if (st_insert(distanceTable, (char *)N, (char *)nodeStat) ==
-    ST_OUT_OF_MEM) {
-    return(0);
-
-    }
-    return(nodeStat);
-
-} /* end of CreateBotDist */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Count the number of minterms of each node ina a BDD and
-  store it in a hash table.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static double
-CountMinterms(
-  DdNode * node,
-  double  max,
-  st_table * mintermTable,
-  FILE *fp)
-{
-    DdNode *N, *Nv, *Nnv;
-    double min, minNv, minNnv;
-    double *dummy;
-
-    N = Cudd_Regular(node);
-
-    if (cuddIsConstant(N)) {
-    if (node == zero) {
-        return(0);
-    } else {
-        return(max);
-    }
-    }
-
-    /* Return the entry in the table if found. */
-    if (st_lookup(mintermTable, (char *)node, (char **)&dummy)) {
-    min = *dummy;
-    return(min);
-    }
-
-    Nv = cuddT(N);
-    Nnv = cuddE(N);
-    Nv = Cudd_NotCond(Nv, Cudd_IsComplement(node));
-    Nnv = Cudd_NotCond(Nnv, Cudd_IsComplement(node));
-
-    /* Recur on the children. */
-    minNv = CountMinterms(Nv, max, mintermTable, fp);
-    if (minNv == -1.0) return(-1.0);
-    minNnv = CountMinterms(Nnv, max, mintermTable, fp);
-    if (minNnv == -1.0) return(-1.0);
-    min = minNv / 2.0 + minNnv / 2.0;
-    /* store 
-     */
-
-    dummy = ALLOC(double, 1);
-    if (dummy == NULL) return(-1.0);
-    *dummy = min;
-    if (st_insert(mintermTable, (char *)node, (char *)dummy) == ST_OUT_OF_MEM) {
-    (void) fprintf(fp, "st table insert failed\n");
-    }
-    return(min);
-
-} /* end of CountMinterms */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Free factors structure]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-ConjunctsFree(
-  DdManager * dd,
-  Conjuncts * factors)
-{
-    Cudd_RecursiveDeref(dd, factors->g);
-    Cudd_RecursiveDeref(dd, factors->h);
-    FREE(factors);
-    return;
-
-} /* end of ConjunctsFree */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Check whether the given pair is in the tables.]
-
-  Description [.Check whether the given pair is in the tables.  gTable
-  and hTable are combined.
-  absence in both is indicated by 0,
-  presence in gTable is indicated by 1,
-  presence in hTable by 2 and
-  presence in both by 3.
-  The values returned by this function are PAIR_ST,
-  PAIR_CR, G_ST, G_CR, H_ST, H_CR, BOTH_G, BOTH_H, NONE.
-  PAIR_ST implies g in gTable and h in hTable
-  PAIR_CR implies g in hTable and h in gTable
-  G_ST implies g in gTable and h not in any table
-  G_CR implies g in hTable and h not in any table
-  H_ST implies h in hTable and g not in any table
-  H_CR implies h in gTable and g not in any table
-  BOTH_G implies both in gTable
-  BOTH_H implies both in hTable
-  NONE implies none in table; ]
-
-  SideEffects []
-
-  SeeAlso     [CheckTablesCacheAndReturn CheckInTables]
-
-******************************************************************************/
-static int
-PairInTables(
-  DdNode * g,
-  DdNode * h,
-  st_table * ghTable)
-{
-    int valueG, valueH, gPresent, hPresent;
-
-    valueG = valueH = gPresent = hPresent = 0;
-    
-    gPresent = st_lookup_int(ghTable, (char *)Cudd_Regular(g), &valueG);
-    hPresent = st_lookup_int(ghTable, (char *)Cudd_Regular(h), &valueH);
-
-    if (!gPresent && !hPresent) return(NONE);
-
-    if (!hPresent) {
-    if (valueG & 1) return(G_ST);
-    if (valueG & 2) return(G_CR);
-    }
-    if (!gPresent) {
-    if (valueH & 1) return(H_CR);
-    if (valueH & 2) return(H_ST);
-    }
-    /* both in tables */
-    if ((valueG & 1) && (valueH & 2)) return(PAIR_ST);
-    if ((valueG & 2) && (valueH & 1)) return(PAIR_CR);
-    
-    if (valueG & 1) {
-    return(BOTH_G);
-    } else {
-    return(BOTH_H);
-    }
-    
-} /* end of PairInTables */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Check the tables for the existence of pair and return one
-  combination, cache the result.]
-
-  Description [Check the tables for the existence of pair and return
-  one combination, cache the result. The assumption is that one of the
-  conjuncts is already in the tables.]
-
-  SideEffects [g and h referenced for the cache]
-
-  SeeAlso     [ZeroCase]
-
-******************************************************************************/
-static Conjuncts *
-CheckTablesCacheAndReturn(
-  DdNode * node,
-  DdNode * g,
-  DdNode * h,
-  st_table * ghTable,
-  st_table * cacheTable)
-{
-    int pairValue;
-    int value;
-    Conjuncts *factors;
-    
-    value = 0;
-    /* check tables */
-    pairValue = PairInTables(g, h, ghTable);
-    assert(pairValue != NONE);
-    /* if both dont exist in table, we know one exists(either g or h).
-     * Therefore store the other and proceed
-     */
-    factors = ALLOC(Conjuncts, 1);
-    if (factors == NULL) return(NULL);
-    if ((pairValue == BOTH_H) || (pairValue == H_ST)) {
-    if (g != one) {
-        value = 0;
-        if (st_lookup_int(ghTable, (char *)Cudd_Regular(g), &value)) {
-        value |= 1;
-        } else {
-        value = 1;
-        }
-        if (st_insert(ghTable, (char *)Cudd_Regular(g),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        return(NULL);
-        }
-    }
-    factors->g = g;
-    factors->h = h;
-    } else  if ((pairValue == BOTH_G) || (pairValue == G_ST)) {
-    if (h != one) {
-        value = 0;
-        if (st_lookup_int(ghTable, (char *)Cudd_Regular(h), &value)) {
-        value |= 2;
-        } else {
-        value = 2;
-        }
-        if (st_insert(ghTable, (char *)Cudd_Regular(h),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        return(NULL);
-        }
-    }
-    factors->g = g;
-    factors->h = h;
-    } else if (pairValue == H_CR) {
-    if (g != one) {
-        value = 2;
-        if (st_insert(ghTable, (char *)Cudd_Regular(g),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        return(NULL);
-        }
-    }
-    factors->g = h;
-    factors->h = g;
-    } else if (pairValue == G_CR) {
-    if (h != one) {
-        value = 1;
-        if (st_insert(ghTable, (char *)Cudd_Regular(h),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        return(NULL);
-        }
-    }
-    factors->g = h;
-    factors->h = g;
-    } else if (pairValue == PAIR_CR) {
-    /* pair exists in table */
-    factors->g = h;
-    factors->h = g;
-    } else if (pairValue == PAIR_ST) {
-    factors->g = g;
-    factors->h = h;
-    }
-        
-    /* cache the result for this node */
-    if (st_insert(cacheTable, (char *)node, (char *)factors) == ST_OUT_OF_MEM) {
-    FREE(factors);
-    return(NULL);
-    }
-
-    return(factors);
-
-} /* end of CheckTablesCacheAndReturn */
-    
-/**Function********************************************************************
-
-  Synopsis    [Check the tables for the existence of pair and return one
-  combination, store in cache.]
-
-  Description [Check the tables for the existence of pair and return
-  one combination, store in cache. The pair that has more pointers to
-  it is picked. An approximation of the number of local pointers is
-  made by taking the reference count of the pairs sent. ]
-
-  SideEffects []
-
-  SeeAlso     [ZeroCase BuildConjuncts]
-
-******************************************************************************/
-static Conjuncts *
-PickOnePair(
-  DdNode * node,
-  DdNode * g1,
-  DdNode * h1,
-  DdNode * g2,
-  DdNode * h2,
-  st_table * ghTable,
-  st_table * cacheTable)
-{
-    int value;
-    Conjuncts *factors;
-    int oneRef, twoRef;
-    
-    factors = ALLOC(Conjuncts, 1);
-    if (factors == NULL) return(NULL);
-
-    /* count the number of pointers to pair 2 */
-    if (h2 == one) {
-    twoRef = (Cudd_Regular(g2))->ref;
-    } else if (g2 == one) {
-    twoRef = (Cudd_Regular(h2))->ref;
-    } else {
-    twoRef = ((Cudd_Regular(g2))->ref + (Cudd_Regular(h2))->ref)/2;
-    }
-
-    /* count the number of pointers to pair 1 */
-    if (h1 == one) {
-    oneRef  = (Cudd_Regular(g1))->ref;
-    } else if (g1 == one) {
-    oneRef  = (Cudd_Regular(h1))->ref;
-    } else {
-    oneRef = ((Cudd_Regular(g1))->ref + (Cudd_Regular(h1))->ref)/2;
-    }
-
-    /* pick the pair with higher reference count */
-    if (oneRef >= twoRef) {
-    factors->g = g1;
-    factors->h = h1;
-    } else {
-    factors->g = g2;
-    factors->h = h2;
-    }
-    
-    /*
-     * Store computed factors in respective tables to encourage
-     * recombination.
-     */
-    if (factors->g != one) {
-    /* insert g in htable */
-    value = 0;
-    if (st_lookup_int(ghTable, (char *)Cudd_Regular(factors->g), &value)) {
-        if (value == 2) {
-        value |= 1;
-        if (st_insert(ghTable, (char *)Cudd_Regular(factors->g),
-                  (char *)(long)value) == ST_OUT_OF_MEM) {
-            FREE(factors);
-            return(NULL);
-        }
-        }
-    } else {
-        value = 1;
-        if (st_insert(ghTable, (char *)Cudd_Regular(factors->g),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        FREE(factors);
-        return(NULL);
-        }
-    }
-    }
-
-    if (factors->h != one) {
-    /* insert h in htable */
-    value = 0;
-    if (st_lookup_int(ghTable, (char *)Cudd_Regular(factors->h), &value)) {
-        if (value == 1) {
-        value |= 2;
-        if (st_insert(ghTable, (char *)Cudd_Regular(factors->h),
-                  (char *)(long)value) == ST_OUT_OF_MEM) {
-            FREE(factors);
-            return(NULL);
-        }
-        }        
-    } else {
-        value = 2;
-        if (st_insert(ghTable, (char *)Cudd_Regular(factors->h),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        FREE(factors);
-        return(NULL);
-        }
-    }
-    }
-    
-    /* Store factors in cache table for later use. */
-    if (st_insert(cacheTable, (char *)node, (char *)factors) ==
-        ST_OUT_OF_MEM) {
-    FREE(factors);
-    return(NULL);
-    }
-
-    return(factors);
-
-} /* end of PickOnePair */
-
-
-/**Function********************************************************************
-
-  Synopsis [Check if the two pairs exist in the table, If any of the
-  conjuncts do exist, store in the cache and return the corresponding pair.]
-
-  Description [Check if the two pairs exist in the table. If any of
-  the conjuncts do exist, store in the cache and return the
-  corresponding pair.]
-
-  SideEffects []
-
-  SeeAlso     [ZeroCase BuildConjuncts]
-
-******************************************************************************/
-static Conjuncts *
-CheckInTables(
-  DdNode * node,
-  DdNode * g1,
-  DdNode * h1,
-  DdNode * g2,
-  DdNode * h2,
-  st_table * ghTable,
-  st_table * cacheTable,
-  int * outOfMem)
-{
-    int pairValue1,  pairValue2;
-    Conjuncts *factors;
-    int value;
-    
-    *outOfMem = 0;
-
-    /* check existence of pair in table */
-    pairValue1 = PairInTables(g1, h1, ghTable);
-    pairValue2 = PairInTables(g2, h2, ghTable);
-
-    /* if none of the 4 exist in the gh tables, return NULL */
-    if ((pairValue1 == NONE) && (pairValue2 == NONE)) {
-    return NULL;
-    }
-    
-    factors = ALLOC(Conjuncts, 1);
-    if (factors == NULL) {
-    *outOfMem = 1;
-    return NULL;
-    }
-
-    /* pairs that already exist in the table get preference. */
-    if (pairValue1 == PAIR_ST) {
-    factors->g = g1;
-    factors->h = h1;
-    } else if (pairValue2 == PAIR_ST) {
-    factors->g = g2;
-    factors->h = h2;
-    } else if (pairValue1 == PAIR_CR) {
-    factors->g = h1;
-    factors->h = g1;
-    } else if (pairValue2 == PAIR_CR) {
-    factors->g = h2;
-    factors->h = g2;
-    } else if (pairValue1 == G_ST) {
-    /* g exists in the table, h is not found in either table */
-    factors->g = g1;
-    factors->h = h1;
-    if (h1 != one) {
-        value = 2;
-        if (st_insert(ghTable, (char *)Cudd_Regular(h1),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        *outOfMem = 1;
-        FREE(factors);
-        return(NULL);
-        }
-    }
-    } else if (pairValue1 == BOTH_G) {
-    /* g and h are  found in the g table */
-    factors->g = g1;
-    factors->h = h1;
-    if (h1 != one) {
-        value = 3;
-        if (st_insert(ghTable, (char *)Cudd_Regular(h1),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        *outOfMem = 1;
-        FREE(factors);
-        return(NULL);
-        }
-    }
-    } else if (pairValue1 == H_ST) {
-    /* h exists in the table, g is not found in either table */
-    factors->g = g1;
-    factors->h = h1;
-    if (g1 != one) {
-        value = 1;
-        if (st_insert(ghTable, (char *)Cudd_Regular(g1),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        *outOfMem = 1;
-        FREE(factors);
-        return(NULL);
-        }
-    }
-    } else if (pairValue1 == BOTH_H) {
-    /* g and h are  found in the h table */
-    factors->g = g1;
-    factors->h = h1;
-    if (g1 != one) {
-        value = 3;
-        if (st_insert(ghTable, (char *)Cudd_Regular(g1),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        *outOfMem = 1;
-        FREE(factors);
-        return(NULL);
-        }
-    }
-    } else if (pairValue2 == G_ST) {
-    /* g exists in the table, h is not found in either table */
-    factors->g = g2;
-    factors->h = h2;
-    if (h2 != one) {
-        value = 2;
-        if (st_insert(ghTable, (char *)Cudd_Regular(h2),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        *outOfMem = 1;
-        FREE(factors);
-        return(NULL);
-        }
-    }
-    } else if  (pairValue2 == BOTH_G) {
-    /* g and h are  found in the g table */
-    factors->g = g2;
-    factors->h = h2;
-    if (h2 != one) {
-        value = 3;
-        if (st_insert(ghTable, (char *)Cudd_Regular(h2),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        *outOfMem = 1;
-        FREE(factors);
-        return(NULL);
-        }
-    }
-    } else if (pairValue2 == H_ST) { 
-    /* h exists in the table, g is not found in either table */
-    factors->g = g2;
-    factors->h = h2;
-    if (g2 != one) {
-        value = 1;
-        if (st_insert(ghTable, (char *)Cudd_Regular(g2),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        *outOfMem = 1;
-        FREE(factors);
-        return(NULL);
-        }
-    }
-    } else if (pairValue2 == BOTH_H) {
-    /* g and h are  found in the h table */
-    factors->g = g2;
-    factors->h = h2;
-    if (g2 != one) {
-        value = 3;
-        if (st_insert(ghTable, (char *)Cudd_Regular(g2),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        *outOfMem = 1;
-        FREE(factors);
-        return(NULL);
-        }
-    }
-    } else if (pairValue1 == G_CR) {
-    /* g found in h table and h in none */
-    factors->g = h1;
-    factors->h = g1;
-    if (h1 != one) {
-        value = 1;
-        if (st_insert(ghTable, (char *)Cudd_Regular(h1),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        *outOfMem = 1;
-        FREE(factors);
-        return(NULL);
-        }
-    }
-    } else if (pairValue1 == H_CR) {
-    /* h found in g table and g in none */
-    factors->g = h1;
-    factors->h = g1;
-    if (g1 != one) {
-        value = 2;
-        if (st_insert(ghTable, (char *)Cudd_Regular(g1),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        *outOfMem = 1;
-        FREE(factors);
-        return(NULL);
-        }
-    }
-    } else if (pairValue2 == G_CR) {
-    /* g found in h table and h in none */
-    factors->g = h2;
-    factors->h = g2;
-    if (h2 != one) {
-        value = 1;
-        if (st_insert(ghTable, (char *)Cudd_Regular(h2),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        *outOfMem = 1;
-        FREE(factors);
-        return(NULL);
-        }
-    }
-    } else if (pairValue2 == H_CR) {
-    /* h found in g table and g in none */
-    factors->g = h2;
-    factors->h = g2;
-    if (g2 != one) {
-        value = 2;
-        if (st_insert(ghTable, (char *)Cudd_Regular(g2),
-              (char *)(long)value) == ST_OUT_OF_MEM) {
-        *outOfMem = 1;
-        FREE(factors);
-        return(NULL);
-        }
-    }
-    }
-    
-    /* Store factors in cache table for later use. */
-    if (st_insert(cacheTable, (char *)node, (char *)factors) ==
-        ST_OUT_OF_MEM) {
-    *outOfMem = 1;
-    FREE(factors);
-    return(NULL);
-    }
-    return factors;
-} /* end of CheckInTables */
-
-
-
-/**Function********************************************************************
-
-  Synopsis    [If one child is zero, do explicitly what Restrict does or better]
-
-  Description [If one child is zero, do explicitly what Restrict does or better.
-  First separate a variable and its child in the base case. In case of a cube
-  times a function, separate the cube and function. As a last resort, look in
-  tables.]
-
-  SideEffects [Frees the BDDs in factorsNv. factorsNv itself is not freed
-  because it is freed above.]
-
-  SeeAlso     [BuildConjuncts]
-
-******************************************************************************/
-static Conjuncts *
-ZeroCase(
-  DdManager * dd,
-  DdNode * node,
-  Conjuncts * factorsNv,
-  st_table * ghTable,
-  st_table * cacheTable,
-  int switched)
-{
-    int topid;
-    DdNode *g, *h, *g1, *g2, *h1, *h2, *x, *N, *G, *H, *Gv, *Gnv;
-    DdNode *Hv, *Hnv;
-    int value;
-    int outOfMem;
-    Conjuncts *factors;
-    
-    /* get var at this node */
-    N = Cudd_Regular(node);
-    topid = N->index;
-    x = dd->vars[topid];
-    x = (switched) ? Cudd_Not(x): x;
-    cuddRef(x);
-
-    /* Seprate variable and child */
-    if (factorsNv->g == one) {
-    Cudd_RecursiveDeref(dd, factorsNv->g);
-    factors = ALLOC(Conjuncts, 1);
-    if (factors == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        Cudd_RecursiveDeref(dd, factorsNv->h);
-        Cudd_RecursiveDeref(dd, x);
-        return(NULL);
-    }
-    factors->g = x;
-    factors->h = factorsNv->h;
-    /* cache the result*/
-    if (st_insert(cacheTable, (char *)node, (char *)factors) == ST_OUT_OF_MEM) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        Cudd_RecursiveDeref(dd, factorsNv->h); 
-        Cudd_RecursiveDeref(dd, x);
-        FREE(factors);
-        return NULL;
-    }
-    
-    /* store  x in g table, the other node is already in the table */
-    if (st_lookup_int(ghTable, (char *)Cudd_Regular(x), &value)) {
-        value |= 1;
-    } else {
-        value = 1;
-    }
-    if (st_insert(ghTable, (char *)Cudd_Regular(x), (char *)(long)value) == ST_OUT_OF_MEM) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return NULL;
-    }
-    return(factors);
-    }
-    
-    /* Seprate variable and child */
-    if (factorsNv->h == one) {
-    Cudd_RecursiveDeref(dd, factorsNv->h);
-    factors = ALLOC(Conjuncts, 1);
-    if (factors == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        Cudd_RecursiveDeref(dd, factorsNv->g);
-        Cudd_RecursiveDeref(dd, x);
-        return(NULL);
-    }
-    factors->g = factorsNv->g;
-    factors->h = x;
-    /* cache the result. */
-     if (st_insert(cacheTable, (char *)node, (char *)factors) == ST_OUT_OF_MEM) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        Cudd_RecursiveDeref(dd, factorsNv->g);
-        Cudd_RecursiveDeref(dd, x);
-        FREE(factors);
-        return(NULL);
-    }
-    /* store x in h table,  the other node is already in the table */
-    if (st_lookup_int(ghTable, (char *)Cudd_Regular(x), &value)) {
-        value |= 2;
-    } else {
-        value = 2;
-    }
-    if (st_insert(ghTable, (char *)Cudd_Regular(x), (char *)(long)value) == ST_OUT_OF_MEM) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return NULL;
-    }
-    return(factors);
-    }
-
-    G = Cudd_Regular(factorsNv->g);
-    Gv = cuddT(G);
-    Gnv = cuddE(G);
-    Gv = Cudd_NotCond(Gv, Cudd_IsComplement(node));
-    Gnv = Cudd_NotCond(Gnv, Cudd_IsComplement(node));
-    /* if the child below is a variable */
-    if ((Gv == zero) || (Gnv == zero)) {
-    h = factorsNv->h;
-    g = cuddBddAndRecur(dd, x, factorsNv->g);
-    if (g != NULL)     cuddRef(g);
-    Cudd_RecursiveDeref(dd, factorsNv->g); 
-    Cudd_RecursiveDeref(dd, x);
-    if (g == NULL) {
-        Cudd_RecursiveDeref(dd, factorsNv->h); 
-        return NULL;
-    }
-    /* CheckTablesCacheAndReturn responsible for allocating
-     * factors structure., g,h referenced for cache store  the
-     */
-    factors = CheckTablesCacheAndReturn(node,
-                        g,
-                        h,
-                        ghTable,
-                        cacheTable);
-    if (factors == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        Cudd_RecursiveDeref(dd, g);
-        Cudd_RecursiveDeref(dd, h);
-    }
-    return(factors); 
-    }
-
-    H = Cudd_Regular(factorsNv->h);
-    Hv = cuddT(H);
-    Hnv = cuddE(H);
-    Hv = Cudd_NotCond(Hv, Cudd_IsComplement(node));
-    Hnv = Cudd_NotCond(Hnv, Cudd_IsComplement(node));
-    /* if the child below is a variable */
-    if ((Hv == zero) || (Hnv == zero)) {
-    g = factorsNv->g;
-    h = cuddBddAndRecur(dd, x, factorsNv->h);
-    if (h!= NULL) cuddRef(h);
-    Cudd_RecursiveDeref(dd, factorsNv->h);
-    Cudd_RecursiveDeref(dd, x);
-    if (h == NULL) {
-        Cudd_RecursiveDeref(dd, factorsNv->g);
-        return NULL;
-    }
-    /* CheckTablesCacheAndReturn responsible for allocating
-     * factors structure.g,h referenced for table store 
-     */
-    factors = CheckTablesCacheAndReturn(node,
-                        g,
-                        h,
-                        ghTable,
-                        cacheTable);
-    if (factors == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        Cudd_RecursiveDeref(dd, g);
-        Cudd_RecursiveDeref(dd, h);
-    }
-    return(factors); 
-    }
-
-    /* build g1 = x*g; h1 = h */
-    /* build g2 = g; h2 = x*h */
-    Cudd_RecursiveDeref(dd, x);
-    h1 = factorsNv->h;
-    g1 = cuddBddAndRecur(dd, x, factorsNv->g);
-    if (g1 != NULL) cuddRef(g1);
-    if (g1 == NULL) {
-    Cudd_RecursiveDeref(dd, factorsNv->g); 
-    Cudd_RecursiveDeref(dd, factorsNv->h);
-    return NULL;
-    }
-    
-    g2 = factorsNv->g;
-    h2 = cuddBddAndRecur(dd, x, factorsNv->h);
-    if (h2 != NULL) cuddRef(h2);
-    if (h2 == NULL) {
-    Cudd_RecursiveDeref(dd, factorsNv->h);
-    Cudd_RecursiveDeref(dd, factorsNv->g);
-    return NULL;
-    }
-
-    /* check whether any pair is in tables */
-    factors = CheckInTables(node, g1, h1, g2, h2, ghTable, cacheTable, &outOfMem);
-    if (outOfMem) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    Cudd_RecursiveDeref(dd, g1);
-    Cudd_RecursiveDeref(dd, h1);
-    Cudd_RecursiveDeref(dd, g2);
-    Cudd_RecursiveDeref(dd, h2);
-    return NULL;
-    }
-    if (factors != NULL) {
-    if ((factors->g == g1) || (factors->g == h1)) {
-        Cudd_RecursiveDeref(dd, g2);
-        Cudd_RecursiveDeref(dd, h2);
-    } else {
-        Cudd_RecursiveDeref(dd, g1);
-        Cudd_RecursiveDeref(dd, h1);
-    }
-    return factors;
-    }
-
-    /* check for each pair in tables and choose one */
-    factors = PickOnePair(node,g1, h1, g2, h2, ghTable, cacheTable);
-    if (factors == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    Cudd_RecursiveDeref(dd, g1);
-    Cudd_RecursiveDeref(dd, h1);
-    Cudd_RecursiveDeref(dd, g2);
-    Cudd_RecursiveDeref(dd, h2);
-    } else {
-    /* now free what was created and not used */
-    if ((factors->g == g1) || (factors->g == h1)) {
-        Cudd_RecursiveDeref(dd, g2);
-        Cudd_RecursiveDeref(dd, h2);
-    } else {
-        Cudd_RecursiveDeref(dd, g1);
-        Cudd_RecursiveDeref(dd, h1);
-    }
-    }
-    
-    return(factors);
-} /* end of ZeroCase */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Builds the conjuncts recursively, bottom up.]
-
-  Description [Builds the conjuncts recursively, bottom up. Constants
-  are returned as (f, f). The cache is checked for previously computed
-  result. The decomposition points are determined by the local
-  reference count of this node and the longest distance from the
-  constant. At the decomposition point, the factors returned are (f,
-  1). Recur on the two children. The order is determined by the
-  heavier branch. Combine the factors of the two children and pick the
-  one that already occurs in the gh table. Occurence in g is indicated
-  by value 1, occurence in h by 2, occurence in both 3.]
-
-  SideEffects []
-
-  SeeAlso     [cuddConjunctsAux]
-
-******************************************************************************/
-static Conjuncts *
-BuildConjuncts(
-  DdManager * dd,
-  DdNode * node,
-  st_table * distanceTable,
-  st_table * cacheTable,
-  int approxDistance,
-  int maxLocalRef,
-  st_table * ghTable,
-  st_table * mintermTable)
-{
-    int topid, distance;
-    Conjuncts *factorsNv, *factorsNnv, *factors;
-    Conjuncts *dummy;
-    DdNode *N, *Nv, *Nnv, *temp, *g1, *g2, *h1, *h2, *topv;
-    double minNv = 0.0, minNnv = 0.0;
-    double *doubleDummy;
-    int switched =0;
-    int outOfMem;
-    int freeNv = 0, freeNnv = 0, freeTemp;
-    NodeStat *nodeStat;
-    int value;
-
-    /* if f is constant, return (f,f) */
-    if (Cudd_IsConstant(node)) {
-    factors = ALLOC(Conjuncts, 1);
-    if (factors == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(NULL);
-    }
-    factors->g = node;
-    factors->h = node;
-    return(FactorsComplement(factors));
-    }
-
-    /* If result (a pair of conjuncts) in cache, return the factors. */
-    if (st_lookup(cacheTable, (char *)node, (char **)&dummy)) {
-    factors = dummy;
-    return(factors);
-    }
-    
-    /* check distance and local reference count of this node */
-    N = Cudd_Regular(node);
-    if (!st_lookup(distanceTable, (char *)N, (char **)&nodeStat)) {
-    (void) fprintf(dd->err, "Not in table, Something wrong\n");
-    dd->errorCode = CUDD_INTERNAL_ERROR;
-    return(NULL);
-    }
-    distance = nodeStat->distance;
-
-    /* at or below decomposition point, return (f, 1) */
-    if (((nodeStat->localRef > maxLocalRef*2/3) &&
-     (distance < approxDistance*2/3)) ||
-        (distance <= approxDistance/4)) {
-    factors = ALLOC(Conjuncts, 1);
-    if (factors == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(NULL);
-    }
-    /* alternate assigning (f,1) */
-    value = 0;
-    if (st_lookup_int(ghTable, (char *)Cudd_Regular(node), &value)) {
-        if (value == 3) {
-        if (!lastTimeG) {
-            factors->g = node;
-            factors->h = one;
-            lastTimeG = 1;
-        } else {
-            factors->g = one;
-            factors->h = node;
-            lastTimeG = 0; 
-        }
-        } else if (value == 1) {
-        factors->g = node;
-        factors->h = one;
-        } else {
-        factors->g = one;
-        factors->h = node;
-        }
-    } else if (!lastTimeG) {
-        factors->g = node;
-        factors->h = one;
-        lastTimeG = 1;
-        value = 1;
-        if (st_insert(ghTable, (char *)Cudd_Regular(node), (char *)(long)value) == ST_OUT_OF_MEM) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        FREE(factors);
-        return NULL;
-        }
-    } else {
-        factors->g = one;
-        factors->h = node;
-        lastTimeG = 0;
-        value = 2;
-        if (st_insert(ghTable, (char *)Cudd_Regular(node), (char *)(long)value) == ST_OUT_OF_MEM) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        FREE(factors);
-        return NULL;
-        }
-    }
-    return(FactorsComplement(factors));
-    }
-    
-    /* get the children and recur */
-    Nv = cuddT(N);
-    Nnv = cuddE(N);
-    Nv = Cudd_NotCond(Nv, Cudd_IsComplement(node));
-    Nnv = Cudd_NotCond(Nnv, Cudd_IsComplement(node));
-
-    /* Choose which subproblem to solve first based on the number of
-     * minterms. We go first where there are more minterms.
-     */
-    if (!Cudd_IsConstant(Nv)) {
-    if (!st_lookup(mintermTable, (char *)Nv, (char **)&doubleDummy)) {
-        (void) fprintf(dd->err, "Not in table: Something wrong\n");
-        dd->errorCode = CUDD_INTERNAL_ERROR;
-        return(NULL);
-    }
-    minNv = *doubleDummy;
-    }
-    
-    if (!Cudd_IsConstant(Nnv)) {
-    if (!st_lookup(mintermTable, (char *)Nnv, (char **)&doubleDummy)) {
-        (void) fprintf(dd->err, "Not in table: Something wrong\n");
-        dd->errorCode = CUDD_INTERNAL_ERROR;
-        return(NULL);
-    }
-    minNnv = *doubleDummy;
-    }
-    
-    if (minNv < minNnv) {
-    temp = Nv;
-    Nv = Nnv;
-    Nnv = temp;
-    switched = 1;
-    }
-
-    /* build gt, ht recursively */
-    if (Nv != zero) {
-    factorsNv = BuildConjuncts(dd, Nv, distanceTable,
-                   cacheTable, approxDistance, maxLocalRef, 
-                   ghTable, mintermTable);
-    if (factorsNv == NULL) return(NULL);
-    freeNv = FactorsNotStored(factorsNv);
-    factorsNv = (freeNv) ? FactorsUncomplement(factorsNv) : factorsNv;
-    cuddRef(factorsNv->g);
-    cuddRef(factorsNv->h);
-    
-    /* Deal with the zero case */
-    if (Nnv == zero) {
-        /* is responsible for freeing factorsNv */
-        factors = ZeroCase(dd, node, factorsNv, ghTable,
-                   cacheTable, switched);
-        if (freeNv) FREE(factorsNv);
-        return(factors);
-    }
-    }
-
-    /* build ge, he recursively */
-    if (Nnv != zero) {
-    factorsNnv = BuildConjuncts(dd, Nnv, distanceTable,
-                    cacheTable, approxDistance, maxLocalRef,
-                    ghTable, mintermTable);
-    if (factorsNnv == NULL) {
-        Cudd_RecursiveDeref(dd, factorsNv->g);
-        Cudd_RecursiveDeref(dd, factorsNv->h);
-        if (freeNv) FREE(factorsNv);
-        return(NULL);
-    }
-    freeNnv = FactorsNotStored(factorsNnv);
-    factorsNnv = (freeNnv) ? FactorsUncomplement(factorsNnv) : factorsNnv;
-    cuddRef(factorsNnv->g);
-    cuddRef(factorsNnv->h);
-    
-    /* Deal with the zero case */
-    if (Nv == zero) {
-        /* is responsible for freeing factorsNv */
-        factors = ZeroCase(dd, node, factorsNnv, ghTable,
-                   cacheTable, switched);
-        if (freeNnv) FREE(factorsNnv);
-        return(factors);
-    }
-    }
-
-    /* construct the 2 pairs */
-    /* g1 = x*gt + x'*ge; h1 = x*ht + x'*he; */
-    /* g2 = x*gt + x'*he; h2 = x*ht + x'*ge */
-    if (switched) {
-    factors = factorsNnv;
-    factorsNnv = factorsNv;
-    factorsNv = factors;
-    freeTemp = freeNv;
-    freeNv = freeNnv;
-    freeNnv = freeTemp;
-    }
-
-    /* Build the factors for this node. */
-    topid = N->index;
-    topv = dd->vars[topid];
-    
-    g1 = cuddBddIteRecur(dd, topv, factorsNv->g, factorsNnv->g);
-    if (g1 == NULL) {
-    Cudd_RecursiveDeref(dd, factorsNv->g);
-    Cudd_RecursiveDeref(dd, factorsNv->h);
-    Cudd_RecursiveDeref(dd, factorsNnv->g);
-    Cudd_RecursiveDeref(dd, factorsNnv->h);
-    if (freeNv) FREE(factorsNv);
-    if (freeNnv) FREE(factorsNnv);
-    return(NULL);
-    }
-
-    cuddRef(g1);
-
-    h1 = cuddBddIteRecur(dd, topv, factorsNv->h, factorsNnv->h);
-    if (h1 == NULL) {
-    Cudd_RecursiveDeref(dd, factorsNv->g);
-    Cudd_RecursiveDeref(dd, factorsNv->h);
-    Cudd_RecursiveDeref(dd, factorsNnv->g);
-    Cudd_RecursiveDeref(dd, factorsNnv->h);
-    Cudd_RecursiveDeref(dd, g1);
-    if (freeNv) FREE(factorsNv);
-    if (freeNnv) FREE(factorsNnv);
-    return(NULL);
-    }
-
-    cuddRef(h1);
-
-    g2 = cuddBddIteRecur(dd, topv, factorsNv->g, factorsNnv->h);
-    if (g2 == NULL) {
-    Cudd_RecursiveDeref(dd, factorsNv->h);
-    Cudd_RecursiveDeref(dd, factorsNv->g);
-    Cudd_RecursiveDeref(dd, factorsNnv->g);
-    Cudd_RecursiveDeref(dd, factorsNnv->h);
-    Cudd_RecursiveDeref(dd, g1);
-    Cudd_RecursiveDeref(dd, h1);
-    if (freeNv) FREE(factorsNv);
-    if (freeNnv) FREE(factorsNnv);
-    return(NULL);
-    }
-    cuddRef(g2);
-    Cudd_RecursiveDeref(dd, factorsNv->g);
-    Cudd_RecursiveDeref(dd, factorsNnv->h);
-
-    h2 = cuddBddIteRecur(dd, topv, factorsNv->h, factorsNnv->g);
-    if (h2 == NULL) {
-    Cudd_RecursiveDeref(dd, factorsNv->g);
-    Cudd_RecursiveDeref(dd, factorsNv->h);
-    Cudd_RecursiveDeref(dd, factorsNnv->g);
-    Cudd_RecursiveDeref(dd, factorsNnv->h);
-    Cudd_RecursiveDeref(dd, g1);
-    Cudd_RecursiveDeref(dd, h1);
-    Cudd_RecursiveDeref(dd, g2);
-    if (freeNv) FREE(factorsNv);
-    if (freeNnv) FREE(factorsNnv);
-    return(NULL);
-    }
-    cuddRef(h2);
-    Cudd_RecursiveDeref(dd, factorsNv->h);
-    Cudd_RecursiveDeref(dd, factorsNnv->g);
-    if (freeNv) FREE(factorsNv);
-    if (freeNnv) FREE(factorsNnv);
-
-    /* check for each pair in tables and choose one */
-    factors = CheckInTables(node, g1, h1, g2, h2, ghTable, cacheTable, &outOfMem);
-    if (outOfMem) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    Cudd_RecursiveDeref(dd, g1);
-    Cudd_RecursiveDeref(dd, h1);
-    Cudd_RecursiveDeref(dd, g2);
-    Cudd_RecursiveDeref(dd, h2);
-    return(NULL);
-    }
-    if (factors != NULL) {
-    if ((factors->g == g1) || (factors->g == h1)) {
-        Cudd_RecursiveDeref(dd, g2);
-        Cudd_RecursiveDeref(dd, h2);
-    } else {
-        Cudd_RecursiveDeref(dd, g1);
-        Cudd_RecursiveDeref(dd, h1);
-    }
-    return(factors);
-    }
-
-    /* if not in tables, pick one pair */
-    factors = PickOnePair(node,g1, h1, g2, h2, ghTable, cacheTable);
-    if (factors == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    Cudd_RecursiveDeref(dd, g1);
-    Cudd_RecursiveDeref(dd, h1);
-    Cudd_RecursiveDeref(dd, g2);
-    Cudd_RecursiveDeref(dd, h2);
-    } else {
-    /* now free what was created and not used */
-    if ((factors->g == g1) || (factors->g == h1)) {
-        Cudd_RecursiveDeref(dd, g2);
-        Cudd_RecursiveDeref(dd, h2);
-    } else {
-        Cudd_RecursiveDeref(dd, g1);
-        Cudd_RecursiveDeref(dd, h1);
-    }
-    }
-    
-    return(factors);
-    
-} /* end of BuildConjuncts */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Procedure to compute two conjunctive factors of f and place in *c1 and *c2.]
-
-  Description [Procedure to compute two conjunctive factors of f and
-  place in *c1 and *c2. Sets up the required data - table of distances
-  from the constant and local reference count. Also minterm table. ]
-
-  SideEffects []
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-cuddConjunctsAux(
-  DdManager * dd,
-  DdNode * f,
-  DdNode ** c1,
-  DdNode ** c2)
-{
-    st_table *distanceTable = NULL;
-    st_table *cacheTable = NULL;
-    st_table *mintermTable = NULL;
-    st_table *ghTable = NULL;
-    st_generator *stGen;
-    char *key, *value;
-    Conjuncts *factors;
-    int distance, approxDistance;
-    double max, minterms;
-    int freeFactors;
-    NodeStat *nodeStat;
-    int maxLocalRef;
-    
-    /* initialize */
-    *c1 = NULL;
-    *c2 = NULL;
-
-    /* initialize distances table */
-    distanceTable = st_init_table(st_ptrcmp,st_ptrhash);
-    if (distanceTable == NULL) goto outOfMem;
-    
-    /* make the entry for the constant */
-    nodeStat = ALLOC(NodeStat, 1);
-    if (nodeStat == NULL) goto outOfMem;
-    nodeStat->distance = 0;
-    nodeStat->localRef = 1;
-    if (st_insert(distanceTable, (char *)one, (char *)nodeStat) == ST_OUT_OF_MEM) {
-    goto outOfMem;
-    }
-
-    /* Count node distances from constant. */
-    nodeStat = CreateBotDist(f, distanceTable);
-    if (nodeStat == NULL) goto outOfMem;
-
-    /* set the distance for the decomposition points */
-    approxDistance = (DEPTH < nodeStat->distance) ? nodeStat->distance : DEPTH;
-    distance = nodeStat->distance;
-
-    if (distance < approxDistance) {
-    /* Too small to bother. */
-    *c1 = f;
-    *c2 = DD_ONE(dd);
-    cuddRef(*c1); cuddRef(*c2);
-    stGen = st_init_gen(distanceTable);
-    if (stGen == NULL) goto outOfMem;
-    while(st_gen(stGen, (char **)&key, (char **)&value)) {
-        FREE(value);
-    }
-    st_free_gen(stGen); stGen = NULL;
-    st_free_table(distanceTable);
-    return(1);
-    }
-
-    /* record the maximum local reference count */
-    maxLocalRef = 0;
-    stGen = st_init_gen(distanceTable);
-    if (stGen == NULL) goto outOfMem;
-    while(st_gen(stGen, (char **)&key, (char **)&value)) {
-    nodeStat = (NodeStat *)value;
-    maxLocalRef = (nodeStat->localRef > maxLocalRef) ?
-        nodeStat->localRef : maxLocalRef;
-    }
-    st_free_gen(stGen); stGen = NULL;
-
-        
-    /* Count minterms for each node. */
-    max = pow(2.0, (double)Cudd_SupportSize(dd,f)); /* potential overflow */
-    mintermTable = st_init_table(st_ptrcmp,st_ptrhash);
-    if (mintermTable == NULL) goto outOfMem;
-    minterms = CountMinterms(f, max, mintermTable, dd->err);
-    if (minterms == -1.0) goto outOfMem;
-    
-    lastTimeG = Cudd_Random() & 1;
-    cacheTable = st_init_table(st_ptrcmp, st_ptrhash);
-    if (cacheTable == NULL) goto outOfMem;
-    ghTable = st_init_table(st_ptrcmp, st_ptrhash);
-    if (ghTable == NULL) goto outOfMem;
-
-    /* Build conjuncts. */
-    factors = BuildConjuncts(dd, f, distanceTable, cacheTable,
-                 approxDistance, maxLocalRef, ghTable, mintermTable);
-    if (factors == NULL) goto outOfMem;
-
-    /* free up tables */
-    stGen = st_init_gen(distanceTable);
-    if (stGen == NULL) goto outOfMem;
-    while(st_gen(stGen, (char **)&key, (char **)&value)) {
-    FREE(value);
-    }
-    st_free_gen(stGen); stGen = NULL;
-    st_free_table(distanceTable); distanceTable = NULL;
-    st_free_table(ghTable); ghTable = NULL;
-    
-    stGen = st_init_gen(mintermTable);
-    if (stGen == NULL) goto outOfMem;
-    while(st_gen(stGen, (char **)&key, (char **)&value)) {
-    FREE(value);
-    }
-    st_free_gen(stGen); stGen = NULL;
-    st_free_table(mintermTable); mintermTable = NULL;
-
-    freeFactors = FactorsNotStored(factors);
-    factors = (freeFactors) ? FactorsUncomplement(factors) : factors;
-    if (factors != NULL) {
-    *c1 = factors->g;
-    *c2 = factors->h;
-    cuddRef(*c1);
-    cuddRef(*c2);
-    if (freeFactors) FREE(factors);
-    
-#if 0    
-    if ((*c1 == f) && (!Cudd_IsConstant(f))) {
-        assert(*c2 == one);
-    }
-    if ((*c2 == f) && (!Cudd_IsConstant(f))) {
-        assert(*c1 == one);
-    }
-    
-    if ((*c1 != one) && (!Cudd_IsConstant(f))) {
-        assert(!Cudd_bddLeq(dd, *c2, *c1));
-    }
-    if ((*c2 != one) && (!Cudd_IsConstant(f))) {
-        assert(!Cudd_bddLeq(dd, *c1, *c2));
-    }
-#endif
-    }
-
-    stGen = st_init_gen(cacheTable);
-    if (stGen == NULL) goto outOfMem;
-    while(st_gen(stGen, (char **)&key, (char **)&value)) {
-    ConjunctsFree(dd, (Conjuncts *)value);
-    }
-    st_free_gen(stGen); stGen = NULL;
-
-    st_free_table(cacheTable); cacheTable = NULL;
-
-    return(1);
-
-outOfMem:
-    if (distanceTable != NULL) {
-    stGen = st_init_gen(distanceTable);
-    if (stGen == NULL) goto outOfMem;
-    while(st_gen(stGen, (char **)&key, (char **)&value)) {
-        FREE(value);
-    }
-    st_free_gen(stGen); stGen = NULL;
-    st_free_table(distanceTable); distanceTable = NULL;
-    }
-    if (mintermTable != NULL) {
-    stGen = st_init_gen(mintermTable);
-    if (stGen == NULL) goto outOfMem;
-    while(st_gen(stGen, (char **)&key, (char **)&value)) {
-        FREE(value);
-    }
-    st_free_gen(stGen); stGen = NULL;
-    st_free_table(mintermTable); mintermTable = NULL;
-    }
-    if (ghTable != NULL) st_free_table(ghTable);
-    if (cacheTable != NULL) {
-    stGen = st_init_gen(cacheTable);
-    if (stGen == NULL) goto outOfMem;
-    while(st_gen(stGen, (char **)&key, (char **)&value)) {
-        ConjunctsFree(dd, (Conjuncts *)value);
-    }
-    st_free_gen(stGen); stGen = NULL;
-    st_free_table(cacheTable); cacheTable = NULL;
-    }
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-
-} /* end of cuddConjunctsAux */
diff --git a/src/bdd/cudd/cuddEssent.c b/src/bdd/cudd/cuddEssent.c
deleted file mode 100644
index db4b8b49..00000000
--- a/src/bdd/cudd/cuddEssent.c
+++ /dev/null
@@ -1,279 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddEssent.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions for the detection of essential variables.]
-
-  Description [External procedures included in this file:
-        <ul>
-        <li> Cudd_FindEssential()
-        <li> Cudd_bddIsVarEssential()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> ddFindEssentialRecur()
-        </ul>]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddEssent.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static DdNode * ddFindEssentialRecur ARGS((DdManager *dd, DdNode *f));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the essential variables of a DD.]
-
-  Description [Returns the cube of the essential variables. A positive
-  literal means that the variable must be set to 1 for the function to be
-  1. A negative literal means that the variable must be set to 0 for the
-  function to be 1. Returns a pointer to the cube BDD if successful;
-  NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddIsVarEssential]
-
-******************************************************************************/
-DdNode *
-Cudd_FindEssential(
-  DdManager * dd,
-  DdNode * f)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = ddFindEssentialRecur(dd,f);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_FindEssential */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Determines whether a given variable is essential with a
-  given phase in a BDD.]
-
-  Description [Determines whether a given variable is essential with a
-  given phase in a BDD. Uses Cudd_bddIteConstant. Returns 1 if phase == 1
-  and f-->x_id, or if phase == 0 and f-->x_id'.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_FindEssential]
-
-******************************************************************************/
-int
-Cudd_bddIsVarEssential(
-  DdManager * manager,
-  DdNode * f,
-  int  id,
-  int  phase)
-{
-    DdNode    *var;
-    int        res;
-    DdNode    *one, *zero;
-
-    one = DD_ONE(manager);
-    zero = Cudd_Not(one);
-
-    var = cuddUniqueInter(manager, id, one, zero);
-
-    var = Cudd_NotCond(var,phase == 0);
-
-    res = Cudd_bddIteConstant(manager, Cudd_Not(f), one, var) == one;
-
-    return(res);
-
-} /* end of Cudd_bddIsVarEssential */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implements the recursive step of Cudd_FindEssential.]
-
-  Description [Implements the recursive step of Cudd_FindEssential.
-  Returns a pointer to the cube BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static DdNode *
-ddFindEssentialRecur(
-  DdManager * dd,
-  DdNode * f)
-{
-    DdNode    *T, *E, *F;
-    DdNode    *essT, *essE, *res;
-    int        index;
-    DdNode    *one, *lzero, *azero;
-
-    one = DD_ONE(dd);
-    F = Cudd_Regular(f);
-    /* If f is constant the set of essential variables is empty. */
-    if (cuddIsConstant(F)) return(one);
-
-    res = cuddCacheLookup1(dd,Cudd_FindEssential,f);
-    if (res != NULL) {
-    return(res);
-    }
-
-    lzero = Cudd_Not(one);
-    azero = DD_ZERO(dd);
-    /* Find cofactors: here f is non-constant. */
-    T = cuddT(F);
-    E = cuddE(F);
-    if (Cudd_IsComplement(f)) {
-    T = Cudd_Not(T); E = Cudd_Not(E);
-    }
-
-    index = F->index;
-    if (Cudd_IsConstant(T) && T != lzero && T != azero) {
-    /* if E is zero, index is essential, otherwise there are no
-    ** essentials, because index is not essential and no other variable
-    ** can be, since setting index = 1 makes the function constant and
-    ** different from 0.
-    */
-    if (E == lzero || E == azero) {
-        res = dd->vars[index];
-    } else {
-        res = one;
-    }
-    } else if (T == lzero || T == azero) {
-    if (Cudd_IsConstant(E)) { /* E cannot be zero here */
-        res = Cudd_Not(dd->vars[index]);
-    } else { /* E == non-constant */
-        /* find essentials in the else branch */
-        essE = ddFindEssentialRecur(dd,E);
-        if (essE == NULL) {
-        return(NULL);
-        }
-        cuddRef(essE);
-
-        /* add index to the set with negative phase */
-        res = cuddUniqueInter(dd,index,one,Cudd_Not(essE));
-        if (res == NULL) {
-        Cudd_RecursiveDeref(dd,essE);
-        return(NULL);
-        }
-        res = Cudd_Not(res);
-        cuddDeref(essE);
-    }
-    } else { /* T == non-const */
-    if (E == lzero || E == azero) {
-        /* find essentials in the then branch */
-        essT = ddFindEssentialRecur(dd,T);
-        if (essT == NULL) {
-        return(NULL);
-        }
-        cuddRef(essT);
-
-        /* add index to the set with positive phase */
-        /* use And because essT may be complemented */
-        res = cuddBddAndRecur(dd,dd->vars[index],essT);
-        if (res == NULL) {
-        Cudd_RecursiveDeref(dd,essT);
-        return(NULL);
-        }
-        cuddDeref(essT);
-    } else if (!Cudd_IsConstant(E)) {
-        /* if E is a non-zero constant there are no essentials
-        ** because T is non-constant.
-        */
-        essT = ddFindEssentialRecur(dd,T);
-        if (essT == NULL) {
-        return(NULL);
-        }
-        if (essT == one) {
-        res = one;
-        } else {
-        cuddRef(essT);
-        essE = ddFindEssentialRecur(dd,E);
-        if (essE == NULL) {
-            Cudd_RecursiveDeref(dd,essT);
-            return(NULL);
-        }
-        cuddRef(essE);
-
-        /* res = intersection(essT, essE) */
-        res = cuddBddLiteralSetIntersectionRecur(dd,essT,essE);
-        if (res == NULL) {
-            Cudd_RecursiveDeref(dd,essT);
-            Cudd_RecursiveDeref(dd,essE);
-            return(NULL);
-        }
-        cuddRef(res);
-        Cudd_RecursiveDeref(dd,essT);
-        Cudd_RecursiveDeref(dd,essE);
-        cuddDeref(res);
-        }
-    } else {    /* E is a non-zero constant */
-        res = one;
-    }
-    }
-
-    cuddCacheInsert1(dd,Cudd_FindEssential, f, res);
-    return(res);
-
-} /* end of ddFindEssentialRecur */
-
diff --git a/src/bdd/cudd/cuddExact.c b/src/bdd/cudd/cuddExact.c
deleted file mode 100644
index 6852be68..00000000
--- a/src/bdd/cudd/cuddExact.c
+++ /dev/null
@@ -1,1004 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddExact.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions for exact variable reordering.]
-
-  Description [External procedures included in this file:
-        <ul>
-        </ul>
-    Internal procedures included in this module:
-        <ul>
-        <li> cuddExact()
-        </ul>
-    Static procedures included in this module:
-        <ul> 
-                <li> getMaxBinomial()
-        <li> gcd()
-                <li> getMatrix()
-        <li> freeMatrix()
-                <li> getLevelKeys()
-                <li> ddShuffle()
-                <li> ddSiftUp()
-        <li> updateUB()
-        <li> ddCountRoots()
-        <li> ddClearGlobal()
-        <li> computeLB()
-        <li> updateEntry()
-        <li> pushDown()
-        <li> initSymmInfo()
-                </ul>]
-
-  Author      [Cheng Hua, Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddExact.c,v 1.1.1.1 2003/02/24 22:23:52 wjiang Exp $";
-#endif
-
-#ifdef DD_STATS
-static int ddTotalShuffles;
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int getMaxBinomial ARGS((int n));
-static int gcd ARGS((int x, int y));
-static DdHalfWord ** getMatrix ARGS((int rows, int cols));
-static void freeMatrix ARGS((DdHalfWord **matrix));
-static int getLevelKeys ARGS((DdManager *table, int l));
-static int ddShuffle ARGS((DdManager *table, DdHalfWord *permutation, int lower, int upper));
-static int ddSiftUp ARGS((DdManager *table, int x, int xLow));
-static int updateUB ARGS((DdManager *table, int oldBound, DdHalfWord *bestOrder, int lower, int upper));
-static int ddCountRoots ARGS((DdManager *table, int lower, int upper));
-static void ddClearGlobal ARGS((DdManager *table, int lower, int maxlevel));
-static int computeLB ARGS((DdManager *table, DdHalfWord *order, int roots, int cost, int lower, int upper, int level));
-static int updateEntry ARGS((DdManager *table, DdHalfWord *order, int level, int cost, DdHalfWord **orders, int *costs, int subsets, char *mask, int lower, int upper));
-static void pushDown ARGS((DdHalfWord *order, int j, int level));
-static DdHalfWord * initSymmInfo ARGS((DdManager *table, int lower, int upper));
-static int checkSymmInfo ARGS((DdManager *table, DdHalfWord *symmInfo, int index, int level));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Exact variable ordering algorithm.]
-
-  Description [Exact variable ordering algorithm. Finds an optimum
-  order for the variables between lower and upper.  Returns 1 if
-  successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddExact(
-  DdManager * table,
-  int  lower,
-  int  upper)
-{
-    int k, i, j;
-    int maxBinomial, oldSubsets, newSubsets;
-    int subsetCost;
-    int size;            /* number of variables to be reordered */
-    int unused, nvars, level, result;
-    int upperBound, lowerBound, cost;
-    int roots;
-    char *mask = NULL;
-    DdHalfWord  *symmInfo = NULL;
-    DdHalfWord **newOrder = NULL;
-    DdHalfWord **oldOrder = NULL;
-    int *newCost = NULL;
-    int *oldCost = NULL;
-    DdHalfWord **tmpOrder;
-    int *tmpCost;
-    DdHalfWord *bestOrder = NULL;
-    DdHalfWord *order;
-#ifdef DD_STATS
-    int  ddTotalSubsets;
-#endif
-
-    /* Restrict the range to be reordered by excluding unused variables
-    ** at the two ends. */
-    while (table->subtables[lower].keys == 1 &&
-       table->vars[table->invperm[lower]]->ref == 1 &&
-       lower < upper)
-    lower++;
-    while (table->subtables[upper].keys == 1 &&
-       table->vars[table->invperm[upper]]->ref == 1 &&
-       lower < upper)
-    upper--;
-    if (lower == upper) return(1); /* trivial problem */
-
-    /* Apply symmetric sifting to get a good upper bound and to extract
-    ** symmetry information. */
-    result = cuddSymmSiftingConv(table,lower,upper);
-    if (result == 0) goto cuddExactOutOfMem;
-
-#ifdef DD_STATS
-    (void) fprintf(table->out,"\n");
-    ddTotalShuffles = 0;
-    ddTotalSubsets = 0;
-#endif
-
-    /* Initialization. */
-    nvars = table->size;
-    size = upper - lower + 1;
-    /* Count unused variable among those to be reordered.  This is only
-    ** used to compute maxBinomial. */
-    unused = 0;
-    for (i = lower + 1; i < upper; i++) {
-    if (table->subtables[i].keys == 1 &&
-        table->vars[table->invperm[i]]->ref == 1)
-        unused++;
-    }
-
-    /* Find the maximum number of subsets we may have to store. */
-    maxBinomial = getMaxBinomial(size - unused);
-    if (maxBinomial == -1) goto cuddExactOutOfMem;
-
-    newOrder = getMatrix(maxBinomial, size);
-    if (newOrder == NULL) goto cuddExactOutOfMem;
-
-    newCost = ALLOC(int, maxBinomial);
-    if (newCost == NULL) goto cuddExactOutOfMem;
-
-    oldOrder = getMatrix(maxBinomial, size);
-    if (oldOrder == NULL) goto cuddExactOutOfMem;
-
-    oldCost = ALLOC(int, maxBinomial);
-    if (oldCost == NULL) goto cuddExactOutOfMem;
-
-    bestOrder = ALLOC(DdHalfWord, size);
-    if (bestOrder == NULL) goto cuddExactOutOfMem;
-
-    mask = ALLOC(char, nvars);
-    if (mask == NULL) goto cuddExactOutOfMem;
-
-    symmInfo = initSymmInfo(table, lower, upper);
-    if (symmInfo == NULL) goto cuddExactOutOfMem;
-
-    roots = ddCountRoots(table, lower, upper);
-
-    /* Initialize the old order matrix for the empty subset and the best
-    ** order to the current order. The cost for the empty subset includes
-    ** the cost of the levels between upper and the constants. These levels
-    ** are not going to change. Hence, we count them only once.
-    */
-    oldSubsets = 1;
-    for (i = 0; i < size; i++) {
-    oldOrder[0][i] = bestOrder[i] = (DdHalfWord) table->invperm[i+lower];
-    }
-    subsetCost = table->constants.keys;
-    for (i = upper + 1; i < nvars; i++)
-    subsetCost += getLevelKeys(table,i);
-    oldCost[0] = subsetCost;
-    /* The upper bound is initialized to the current size of the BDDs. */
-    upperBound = table->keys - table->isolated;
-
-    /* Now consider subsets of increasing size. */
-    for (k = 1; k <= size; k++) {
-#if DD_STATS
-    (void) fprintf(table->out,"Processing subsets of size %d\n", k);
-    fflush(table->out);
-#endif
-    newSubsets = 0;
-    level = size - k;        /* offset of first bottom variable */
-
-    for (i = 0; i < oldSubsets; i++) { /* for each subset of size k-1 */
-        order = oldOrder[i];
-        cost = oldCost[i];
-        lowerBound = computeLB(table, order, roots, cost, lower, upper,
-                   level);
-        if (lowerBound >= upperBound)
-        continue;
-        /* Impose new order. */
-        result = ddShuffle(table, order, lower, upper);
-        if (result == 0) goto cuddExactOutOfMem;
-        upperBound = updateUB(table,upperBound,bestOrder,lower,upper);
-        /* For each top bottom variable. */
-        for (j = level; j >= 0; j--) {
-        /* Skip unused variables. */
-        if (table->subtables[j+lower-1].keys == 1 &&
-            table->vars[table->invperm[j+lower-1]]->ref == 1) continue;
-        /* Find cost under this order. */
-        subsetCost = cost + getLevelKeys(table, lower + level);
-        newSubsets = updateEntry(table, order, level, subsetCost,
-                     newOrder, newCost, newSubsets, mask,
-                     lower, upper);
-        if (j == 0)
-            break;
-        if (checkSymmInfo(table, symmInfo, order[j-1], level) == 0)
-            continue;
-        pushDown(order,j-1,level);
-        /* Impose new order. */
-        result = ddShuffle(table, order, lower, upper);
-        if (result == 0) goto cuddExactOutOfMem;
-        upperBound = updateUB(table,upperBound,bestOrder,lower,upper);
-        } /* for each bottom variable */
-    } /* for each subset of size k */
-
-    /* New orders become old orders in preparation for next iteration. */
-    tmpOrder = oldOrder; tmpCost = oldCost;
-    oldOrder = newOrder; oldCost = newCost;
-    newOrder = tmpOrder; newCost = tmpCost;
-#ifdef DD_STATS
-    ddTotalSubsets += newSubsets;
-#endif
-    oldSubsets = newSubsets;
-    }
-    result = ddShuffle(table, bestOrder, lower, upper);
-    if (result == 0) goto cuddExactOutOfMem;
-#ifdef DD_STATS
-#ifdef DD_VERBOSE
-    (void) fprintf(table->out,"\n");
-#endif
-    (void) fprintf(table->out,"#:S_EXACT   %8d: total subsets\n",
-           ddTotalSubsets);
-    (void) fprintf(table->out,"#:H_EXACT   %8d: total shuffles",
-           ddTotalShuffles);
-#endif
-
-    freeMatrix(newOrder);
-    freeMatrix(oldOrder);
-    FREE(bestOrder);
-    FREE(oldCost);
-    FREE(newCost);
-    FREE(symmInfo);
-    FREE(mask);
-    return(1);
-
-cuddExactOutOfMem:
-
-    if (newOrder != NULL) freeMatrix(newOrder);
-    if (oldOrder != NULL) freeMatrix(oldOrder);
-    if (bestOrder != NULL) FREE(bestOrder);
-    if (oldCost != NULL) FREE(oldCost);
-    if (newCost != NULL) FREE(newCost);
-    if (symmInfo != NULL) FREE(symmInfo);
-    if (mask != NULL) FREE(mask);
-    table->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-
-} /* end of cuddExact */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the maximum value of (n choose k) for a given n.]
-
-  Description [Computes the maximum value of (n choose k) for a given
-  n.  The maximum value occurs for k = n/2 when n is even, or k =
-  (n-1)/2 when n is odd.  The algorithm used in this procedure is
-  quite inefficient, but it avoids intermediate overflow problems.
-  Returns the computed value if successful; -1 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-getMaxBinomial(
-  int  n)
-{
-    int *numerator;
-    int i, j, k, y, g, result;
-
-    k = (n & ~1) >> 1;
-
-    numerator = ALLOC(int,k);
-    if (numerator == NULL) return(-1);
-    
-    for (i = 0; i < k; i++)
-    numerator[i] = n - i;
-    
-    for (i = k; i > 1; i--) {
-    y = i;
-    for (j = 0; j < k; j++) {
-        if (numerator[j] == 1) continue;
-        g = gcd(numerator[j], y);
-        if (g != 1) {
-        numerator[j] /= g;
-        if (y == g) break;
-        y /= g;
-        }
-    }
-    }
-
-    result = 1;
-    for (i = 0; i < k; i++)
-    result *= numerator[i];
-
-    FREE(numerator);
-    return(result);
-
-}  /* end of getMaxBinomial */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the gcd of two integers.]
-
-  Description [Returns the gcd of two integers. Uses the binary GCD
-  algorithm described in Cormen, Leiserson, and Rivest.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-gcd(
-  int  x,
-  int  y)
-{
-    int a;
-    int b;
-    int lsbMask;
-
-    /* GCD(n,0) = n. */
-    if (x == 0) return(y);
-    if (y == 0) return(x);
-
-    a = x; b = y; lsbMask = 1;
-    
-    /* Here both a and b are != 0. The iteration maintains this invariant.
-    ** Hence, we only need to check for when they become equal.
-    */
-    while (a != b) {
-    if (a & lsbMask) {
-        if (b & lsbMask) {    /* both odd */
-        if (a < b) {
-            b = (b - a) >> 1;
-        } else {
-            a = (a - b) >> 1;
-        }
-        } else {        /* a odd, b even */
-        b >>= 1;
-        }
-    } else {
-        if (b & lsbMask) {    /* a even, b odd */
-        a >>= 1;
-        } else {        /* both even */
-        lsbMask <<= 1;
-        }
-    }
-    }
-
-    return(a);
-
-} /* end of gcd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Allocates a two-dimensional matrix of ints.]
-
-  Description [Allocates a two-dimensional matrix of ints.
-  Returns the pointer to the matrix if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [freeMatrix]
-
-******************************************************************************/
-static DdHalfWord **
-getMatrix(
-  int  rows /* number of rows */,
-  int  cols /* number of columns */)
-{
-    DdHalfWord **matrix;
-    int i;
-
-    if (cols*rows == 0) return(NULL);
-    matrix = ALLOC(DdHalfWord *, rows);
-    if (matrix == NULL) return(NULL);
-    matrix[0] = ALLOC(DdHalfWord, cols*rows);
-    if (matrix[0] == NULL) return(NULL);
-    for (i = 1; i < rows; i++) {
-    matrix[i] = matrix[i-1] + cols;
-    }
-    return(matrix);
-
-} /* end of getMatrix */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Frees a two-dimensional matrix allocated by getMatrix.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [getMatrix]
-
-******************************************************************************/
-static void
-freeMatrix(
-  DdHalfWord ** matrix)
-{
-    FREE(matrix[0]);
-    FREE(matrix);
-    return;
-
-} /* end of freeMatrix */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the number of nodes at one level of a unique table.]
-
-  Description [Returns the number of nodes at one level of a unique table.
-  The projection function, if isolated, is not counted.]
-
-  SideEffects [None]
-
-  SeeAlso []
-
-******************************************************************************/
-static int
-getLevelKeys(
-  DdManager * table,
-  int  l)
-{
-    int isolated;
-    int x;        /* x is an index */
-
-    x = table->invperm[l];
-    isolated = table->vars[x]->ref == 1;
-
-    return(table->subtables[l].keys - isolated);
-
-} /* end of getLevelKeys */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders variables according to a given permutation.]
-
-  Description [Reorders variables according to a given permutation.
-  The i-th permutation array contains the index of the variable that
-  should be brought to the i-th level. ddShuffle assumes that no
-  dead nodes are present and that the interaction matrix is properly
-  initialized.  The reordering is achieved by a series of upward sifts.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso []
-
-******************************************************************************/
-static int
-ddShuffle(
-  DdManager * table,
-  DdHalfWord * permutation,
-  int  lower,
-  int  upper)
-{
-    DdHalfWord    index;
-    int        level;
-    int        position;
-    int        numvars;
-    int        result;
-#ifdef DD_STATS
-    long    localTime;
-    int        initialSize;
-#ifdef DD_VERBOSE
-    int        finalSize;
-#endif
-    int        previousSize;
-#endif
-
-#ifdef DD_STATS
-    localTime = util_cpu_time();
-    initialSize = table->keys - table->isolated;
-#endif
-
-    numvars = table->size;
-
-#if 0
-    (void) fprintf(table->out,"%d:", ddTotalShuffles);
-    for (level = 0; level < numvars; level++) {
-    (void) fprintf(table->out," %d", table->invperm[level]);
-    }
-    (void) fprintf(table->out,"\n");
-#endif
-
-    for (level = 0; level <= upper - lower; level++) {
-    index = permutation[level];
-    position = table->perm[index];
-#ifdef DD_STATS
-    previousSize = table->keys - table->isolated;
-#endif
-    result = ddSiftUp(table,position,level+lower);
-    if (!result) return(0);
-    }
-
-#ifdef DD_STATS
-    ddTotalShuffles++;
-#ifdef DD_VERBOSE
-    finalSize = table->keys - table->isolated;
-    if (finalSize < initialSize) {
-    (void) fprintf(table->out,"-");
-    } else if (finalSize > initialSize) {
-    (void) fprintf(table->out,"+");
-    } else {
-    (void) fprintf(table->out,"=");
-    }
-    if ((ddTotalShuffles & 63) == 0) (void) fprintf(table->out,"\n");
-    fflush(table->out);
-#endif
-#endif
-
-    return(1);
-
-} /* end of ddShuffle */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Moves one variable up.]
-
-  Description [Takes a variable from position x and sifts it up to
-  position xLow;  xLow should be less than or equal to x.
-  Returns 1 if successful; 0 otherwise]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-ddSiftUp(
-  DdManager * table,
-  int  x,
-  int  xLow)
-{
-    int        y;
-    int        size;
-
-    y = cuddNextLow(table,x);
-    while (y >= xLow) {
-    size = cuddSwapInPlace(table,y,x);
-    if (size == 0) {
-        return(0);
-    }
-    x = y;
-    y = cuddNextLow(table,x);
-    }
-    return(1);
-
-} /* end of ddSiftUp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Updates the upper bound and saves the best order seen so far.]
-
-  Description [Updates the upper bound and saves the best order seen so far.
-  Returns the current value of the upper bound.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-updateUB(
-  DdManager * table,
-  int  oldBound,
-  DdHalfWord * bestOrder,
-  int  lower,
-  int  upper)
-{
-    int i;
-    int newBound = table->keys - table->isolated;
-
-    if (newBound < oldBound) {
-#ifdef DD_STATS
-    (void) fprintf(table->out,"New upper bound = %d\n", newBound);
-    fflush(table->out);
-#endif
-    for (i = lower; i <= upper; i++)
-        bestOrder[i-lower] = (DdHalfWord) table->invperm[i];
-    return(newBound);
-    } else {
-    return(oldBound);
-    }
-
-} /* end of updateUB */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts the number of roots.]
-
-  Description [Counts the number of roots at the levels between lower and
-  upper.  The computation is based on breadth-first search.
-  A node is a root if it is not reachable from any previously visited node.
-  (All the nodes at level lower are therefore considered roots.)
-  The visited flag uses the LSB of the next pointer.  Returns the root
-  count. The roots that are constant nodes are always ignored.]
-
-  SideEffects [None]
-
-  SeeAlso     [ddClearGlobal]
-
-******************************************************************************/
-static int
-ddCountRoots(
-  DdManager * table,
-  int  lower,
-  int  upper)
-{
-    int i,j;
-    DdNode *f;
-    DdNodePtr *nodelist;
-    DdNode *sentinel = &(table->sentinel);
-    int slots;
-    int roots = 0;
-    int maxlevel = lower;
-
-    for (i = lower; i <= upper; i++) {
-    nodelist = table->subtables[i].nodelist;
-    slots = table->subtables[i].slots;
-    for (j = 0; j < slots; j++) {
-        f = nodelist[j];
-        while (f != sentinel) {
-        /* A node is a root of the DAG if it cannot be
-        ** reached by nodes above it. If a node was never
-        ** reached during the previous depth-first searches,
-        ** then it is a root, and we start a new depth-first
-        ** search from it.
-        */
-        if (!Cudd_IsComplement(f->next)) {
-            if (f != table->vars[f->index]) {
-            roots++;
-            }
-        }
-        if (!Cudd_IsConstant(cuddT(f))) {
-            cuddT(f)->next = Cudd_Complement(cuddT(f)->next);
-            if (table->perm[cuddT(f)->index] > maxlevel)
-            maxlevel = table->perm[cuddT(f)->index];
-        }
-        if (!Cudd_IsConstant(cuddE(f))) {
-            Cudd_Regular(cuddE(f))->next =
-            Cudd_Complement(Cudd_Regular(cuddE(f))->next);
-            if (table->perm[Cudd_Regular(cuddE(f))->index] > maxlevel)
-            maxlevel = table->perm[Cudd_Regular(cuddE(f))->index];
-        }
-        f = Cudd_Regular(f->next);
-        }
-    }
-    }
-    ddClearGlobal(table, lower, maxlevel);
-
-    return(roots);
-
-} /* end of ddCountRoots */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Scans the DD and clears the LSB of the next pointers.]
-
-  Description [Scans the DD and clears the LSB of the next pointers.
-  The LSB of the next pointers are used as markers to tell whether a
-  node was reached. Once the roots are counted, these flags are
-  reset.]
-
-  SideEffects [None]
-
-  SeeAlso     [ddCountRoots]
-
-******************************************************************************/
-static void
-ddClearGlobal(
-  DdManager * table,
-  int  lower,
-  int  maxlevel)
-{
-    int i,j;
-    DdNode *f;
-    DdNodePtr *nodelist;
-    DdNode *sentinel = &(table->sentinel);
-    int slots;
-
-    for (i = lower; i <= maxlevel; i++) {
-    nodelist = table->subtables[i].nodelist;
-    slots = table->subtables[i].slots;
-    for (j = 0; j < slots; j++) {
-        f = nodelist[j];
-        while (f != sentinel) {
-        f->next = Cudd_Regular(f->next);
-        f = f->next;
-        }
-    }
-    }
-
-} /* end of ddClearGlobal */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes a lower bound on the size of a BDD.]
-
-  Description [Computes a lower bound on the size of a BDD from the
-  following factors:
-  <ul>
-  <li> size of the lower part of it;
-  <li> size of the part of the upper part not subjected to reordering;
-  <li> number of roots in the part of the BDD subjected to reordering;
-  <li> variable in the support of the roots in the upper part of the
-       BDD subjected to reordering.
-  <ul/>]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-computeLB(
-  DdManager * table        /* manager */,
-  DdHalfWord * order        /* optimal order for the subset */,
-  int  roots            /* roots between lower and upper */,
-  int  cost            /* minimum cost for the subset */,
-  int  lower            /* lower level to be reordered */,
-  int  upper            /* upper level to be reordered */,
-  int  level            /* offset for the current top bottom var */
-  )
-{
-    int i;
-    int lb = cost;
-    int lb1 = 0;
-    int lb2;
-    int support;
-    DdHalfWord ref;
-
-    /* The levels not involved in reordering are not going to change.
-    ** Add their sizes to the lower bound.
-    */
-    for (i = 0; i < lower; i++) {
-    lb += getLevelKeys(table,i);
-    }
-    /* If a variable is in the support, then there is going
-    ** to be at least one node labeled by that variable.
-    */
-    for (i = lower; i <= lower+level; i++) {
-    support = table->subtables[i].keys > 1 ||
-        table->vars[order[i-lower]]->ref > 1;
-    lb1 += support;
-    }
-
-    /* Estimate the number of nodes required to connect the roots to
-    ** the nodes in the bottom part. */
-    if (lower+level+1 < table->size) {
-    if (lower+level < upper)
-        ref = table->vars[order[level+1]]->ref;
-    else
-        ref = table->vars[table->invperm[upper+1]]->ref;
-    lb2 = table->subtables[lower+level+1].keys -
-        (ref > (DdHalfWord) 1) - roots;
-    } else {
-    lb2 = 0;
-    }
-
-    lb += lb1 > lb2 ? lb1 : lb2;
-
-    return(lb);
-
-} /* end of computeLB */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Updates entry for a subset.]
-
-  Description [Updates entry for a subset. Finds the subset, if it exists.
-  If the new order for the subset has lower cost, or if the subset did not
-  exist, it stores the new order and cost. Returns the number of subsets
-  currently in the table.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-updateEntry(
-  DdManager * table,
-  DdHalfWord * order,
-  int  level,
-  int  cost,
-  DdHalfWord ** orders,
-  int * costs,
-  int  subsets,
-  char * mask,
-  int  lower,
-  int  upper)
-{
-    int i, j;
-    int size = upper - lower + 1;
-
-    /* Build a mask that says what variables are in this subset. */
-    for (i = lower; i <= upper; i++)
-    mask[table->invperm[i]] = 0;
-    for (i = level; i < size; i++)
-    mask[order[i]] = 1;
-
-    /* Check each subset until a match is found or all subsets are examined. */
-    for (i = 0; i < subsets; i++) {
-    DdHalfWord *subset = orders[i];
-    for (j = level; j < size; j++) {
-        if (mask[subset[j]] == 0)
-        break;
-    }
-    if (j == size)        /* no mismatches: success */
-        break;
-    }
-    if (i == subsets || cost < costs[i]) {        /* add or replace */
-    for (j = 0; j < size; j++)
-        orders[i][j] = order[j];
-    costs[i] = cost;
-    subsets += (i == subsets);
-    }
-    return(subsets);
-
-} /* end of updateEntry */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Pushes a variable in the order down to position "level."]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-pushDown(
-  DdHalfWord * order,
-  int  j,
-  int  level)
-{
-    int i;
-    DdHalfWord tmp;
-
-    tmp = order[j];
-    for (i = j; i < level; i++) {
-    order[i] = order[i+1];
-    }
-    order[level] = tmp;
-    return;
-
-} /* end of pushDown */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Gathers symmetry information.]
-
-  Description [Translates the symmetry information stored in the next
-  field of each subtable from level to indices. This procedure is called
-  immediately after symmetric sifting, so that the next fields are correct.
-  By translating this informaton in terms of indices, we make it independent
-  of subsequent reorderings. The format used is that of the next fields:
-  a circular list where each variable points to the next variable in the
-  same symmetry group. Only the entries between lower and upper are
-  considered.  The procedure returns a pointer to an array
-  holding the symmetry information if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [checkSymmInfo]
-
-******************************************************************************/
-static DdHalfWord *
-initSymmInfo(
-  DdManager * table,
-  int  lower,
-  int  upper)
-{
-    int level, index, next, nextindex;
-    DdHalfWord *symmInfo;
-
-    symmInfo =  ALLOC(DdHalfWord, table->size);
-    if (symmInfo == NULL) return(NULL);
-
-    for (level = lower; level <= upper; level++) {
-    index = table->invperm[level];
-    next =  table->subtables[level].next;
-    nextindex = table->invperm[next];
-    symmInfo[index] = nextindex;
-    }
-    return(symmInfo);
-
-} /* end of initSymmInfo */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Check symmetry condition.]
-
-  Description [Returns 1 if a variable is the one with the highest index
-  among those belonging to a symmetry group that are in the top part of
-  the BDD.  The top part is given by level.]
-
-  SideEffects [None]
-
-  SeeAlso     [initSymmInfo]
-
-******************************************************************************/
-static int
-checkSymmInfo(
-  DdManager * table,
-  DdHalfWord * symmInfo,
-  int  index,
-  int  level)
-{
-    int i;
-
-    i = symmInfo[index];
-    while (i != index) {
-    if (index < i && table->perm[i] <= level)
-        return(0);
-    i = symmInfo[i];
-    }
-    return(1);
-
-} /* end of checkSymmInfo */
-
diff --git a/src/bdd/cudd/cuddExport.c b/src/bdd/cudd/cuddExport.c
deleted file mode 100644
index d148be42..00000000
--- a/src/bdd/cudd/cuddExport.c
+++ /dev/null
@@ -1,1289 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddExport.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Export functions.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_DumpBlif()
-        <li> Cudd_DumpBlifBody()
-        <li> Cudd_DumpDot()
-        <li> Cudd_DumpDaVinci()
-        <li> Cudd_DumpDDcal()
-        <li> Cudd_DumpFactoredForm()
-        </ul>
-    Internal procedures included in this module:
-        <ul>
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> ddDoDumpBlif()
-        <li> ddDoDumpDaVinci()
-        <li> ddDoDumpDDcal()
-        <li> ddDoDumpFactoredForm()
-        </ul>]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddExport.c,v 1.1.1.1 2003/02/24 22:23:52 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int ddDoDumpBlif ARGS((DdManager *dd, DdNode *f, FILE *fp, st_table *visited, char **names));
-static int ddDoDumpDaVinci ARGS((DdManager *dd, DdNode *f, FILE *fp, st_table *visited, char **names, long mask));
-static int ddDoDumpDDcal ARGS((DdManager *dd, DdNode *f, FILE *fp, st_table *visited, char **names, long mask));
-static int ddDoDumpFactoredForm ARGS((DdManager *dd, DdNode *f, FILE *fp, char **names));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Writes a blif file representing the argument BDDs.]
-
-  Description [Writes a blif file representing the argument BDDs as a
-  network of multiplexers. One multiplexer is written for each BDD
-  node. It returns 1 in case of success; 0 otherwise (e.g.,
-  out-of-memory, file system full, or an ADD with constants different
-  from 0 and 1).  Cudd_DumpBlif does not close the file: This is the
-  caller responsibility. Cudd_DumpBlif uses a minimal unique subset of
-  the hexadecimal address of a node as name for it.  If the argument
-  inames is non-null, it is assumed to hold the pointers to the names
-  of the inputs. Similarly for onames.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DumpBlifBody Cudd_DumpDot Cudd_PrintDebug Cudd_DumpDDcal
-  Cudd_DumpDaVinci Cudd_DumpFactoredForm]
-
-******************************************************************************/
-int
-Cudd_DumpBlif(
-  DdManager * dd /* manager */,
-  int  n /* number of output nodes to be dumped */,
-  DdNode ** f /* array of output nodes to be dumped */,
-  char ** inames /* array of input names (or NULL) */,
-  char ** onames /* array of output names (or NULL) */,
-  char * mname /* model name (or NULL) */,
-  FILE * fp /* pointer to the dump file */)
-{
-    DdNode    *support = NULL;
-    DdNode    *scan;
-    int        *sorted = NULL;
-    int        nvars = dd->size;
-    int        retval;
-    int        i;
-
-    /* Build a bit array with the support of f. */
-    sorted = ALLOC(int,nvars);
-    if (sorted == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    goto failure;
-    }
-    for (i = 0; i < nvars; i++) sorted[i] = 0;
-
-    /* Take the union of the supports of each output function. */
-    support = Cudd_VectorSupport(dd,f,n);
-    if (support == NULL) goto failure;
-    cuddRef(support);
-    scan = support;
-    while (!cuddIsConstant(scan)) {
-    sorted[scan->index] = 1;
-    scan = cuddT(scan);
-    }
-    Cudd_RecursiveDeref(dd,support);
-    support = NULL; /* so that we do not try to free it in case of failure */
-
-    /* Write the header (.model .inputs .outputs). */
-    if (mname == NULL) {
-    retval = fprintf(fp,".model DD\n.inputs");
-    } else {
-    retval = fprintf(fp,".model %s\n.inputs",mname);
-    }
-    if (retval == EOF) return(0);
-
-    /* Write the input list by scanning the support array. */
-    for (i = 0; i < nvars; i++) {
-        if (sorted[i]) {
-        if (inames == NULL) {
-        retval = fprintf(fp," %d", i);
-        } else {
-        retval = fprintf(fp," %s", inames[i]);
-        }
-            if (retval == EOF) goto failure;
-        }
-    }
-    FREE(sorted);
-    sorted = NULL;
-
-    /* Write the .output line. */
-    retval = fprintf(fp,"\n.outputs");
-    if (retval == EOF) goto failure;
-    for (i = 0; i < n; i++) {
-    if (onames == NULL) {
-        retval = fprintf(fp," f%d", i);
-    } else {
-        retval = fprintf(fp," %s", onames[i]);
-    }
-    if (retval == EOF) goto failure;
-    }
-    retval = fprintf(fp,"\n");
-    if (retval == EOF) goto failure;
-
-    retval = Cudd_DumpBlifBody(dd, n, f, inames, onames, fp);
-    if (retval == 0) goto failure;
-
-    /* Write trailer and return. */
-    retval = fprintf(fp,".end\n");
-    if (retval == EOF) goto failure;
-
-    return(1);
-
-failure:
-    if (sorted != NULL) FREE(sorted);
-    if (support != NULL) Cudd_RecursiveDeref(dd,support);
-    return(0);
-
-} /* end of Cudd_DumpBlif */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Writes a blif body representing the argument BDDs.]
-
-  Description [Writes a blif body representing the argument BDDs as a
-  network of multiplexers. One multiplexer is written for each BDD
-  node. It returns 1 in case of success; 0 otherwise (e.g.,
-  out-of-memory, file system full, or an ADD with constants different
-  from 0 and 1).  Cudd_DumpBlif does not close the file: This is the
-  caller responsibility. Cudd_DumpBlif uses a minimal unique subset of
-  the hexadecimal address of a node as name for it.  If the argument
-  inames is non-null, it is assumed to hold the pointers to the names
-  of the inputs. Similarly for onames. This function prints out only
-  .names part.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DumpDot Cudd_PrintDebug Cudd_DumpDDcal
-  Cudd_DumpDaVinci Cudd_DumpFactoredForm]
-
-******************************************************************************/
-int
-Cudd_DumpBlifBody(
-  DdManager * dd /* manager */,
-  int  n /* number of output nodes to be dumped */,
-  DdNode ** f /* array of output nodes to be dumped */,
-  char ** inames /* array of input names (or NULL) */,
-  char ** onames /* array of output names (or NULL) */,
-  FILE * fp /* pointer to the dump file */)
-{
-    st_table    *visited = NULL;
-    int        retval;
-    int        i;
-
-    /* Initialize symbol table for visited nodes. */
-    visited = st_init_table(st_ptrcmp, st_ptrhash);
-    if (visited == NULL) goto failure;
-
-    /* Call the function that really gets the job done. */
-    for (i = 0; i < n; i++) {
-    retval = ddDoDumpBlif(dd,Cudd_Regular(f[i]),fp,visited,inames);
-    if (retval == 0) goto failure;
-    }
-
-    /* To account for the possible complement on the root,
-    ** we put either a buffer or an inverter at the output of
-    ** the multiplexer representing the top node.
-    */
-    for (i = 0; i < n; i++) {
-    if (onames == NULL) {
-        retval = fprintf(fp,
-#if SIZEOF_VOID_P == 8
-        ".names %lx f%d\n", (unsigned long) f[i] / (unsigned long) sizeof(DdNode), i);
-#else
-        ".names %x f%d\n", (unsigned) f[i] / (unsigned) sizeof(DdNode), i);
-#endif
-    } else {
-        retval = fprintf(fp,
-#if SIZEOF_VOID_P == 8
-        ".names %lx %s\n", (unsigned long) f[i] / (unsigned long) sizeof(DdNode), onames[i]);
-#else
-        ".names %x %s\n", (unsigned) f[i] / (unsigned) sizeof(DdNode), onames[i]);
-#endif
-    }
-    if (retval == EOF) goto failure;
-    if (Cudd_IsComplement(f[i])) {
-        retval = fprintf(fp,"0 1\n");
-    } else {
-        retval = fprintf(fp,"1 1\n");
-    }
-    if (retval == EOF) goto failure;
-    }
-
-    st_free_table(visited);
-    return(1);
-
-failure:
-    if (visited != NULL) st_free_table(visited);
-    return(0);
-
-} /* end of Cudd_DumpBlifBody */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Writes a dot file representing the argument DDs.]
-
-  Description [Writes a file representing the argument DDs in a format
-  suitable for the graph drawing program dot.
-  It returns 1 in case of success; 0 otherwise (e.g., out-of-memory,
-  file system full).
-  Cudd_DumpDot does not close the file: This is the caller
-  responsibility. Cudd_DumpDot uses a minimal unique subset of the
-  hexadecimal address of a node as name for it.
-  If the argument inames is non-null, it is assumed to hold the pointers
-  to the names of the inputs. Similarly for onames.
-  Cudd_DumpDot uses the following convention to draw arcs:
-    <ul>
-    <li> solid line: THEN arcs;
-    <li> dotted line: complement arcs;
-    <li> dashed line: regular ELSE arcs.
-    </ul>
-  The dot options are chosen so that the drawing fits on a letter-size
-  sheet.
-  ]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DumpBlif Cudd_PrintDebug Cudd_DumpDDcal
-  Cudd_DumpDaVinci Cudd_DumpFactoredForm]
-
-******************************************************************************/
-int
-Cudd_DumpDot(
-  DdManager * dd /* manager */,
-  int  n /* number of output nodes to be dumped */,
-  DdNode ** f /* array of output nodes to be dumped */,
-  char ** inames /* array of input names (or NULL) */,
-  char ** onames /* array of output names (or NULL) */,
-  FILE * fp /* pointer to the dump file */)
-{
-    DdNode    *support = NULL;
-    DdNode    *scan;
-    int        *sorted = NULL;
-    int        nvars = dd->size;
-    st_table    *visited = NULL;
-    st_generator *gen = NULL;
-    int        retval;
-    int        i, j;
-    int        slots;
-    DdNodePtr    *nodelist;
-    long    refAddr, diff, mask;
-
-    /* Build a bit array with the support of f. */
-    sorted = ALLOC(int,nvars);
-    if (sorted == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    goto failure;
-    }
-    for (i = 0; i < nvars; i++) sorted[i] = 0;
-
-    /* Take the union of the supports of each output function. */
-    support = Cudd_VectorSupport(dd,f,n);
-    if (support == NULL) goto failure;
-    cuddRef(support);
-    scan = support;
-    while (!cuddIsConstant(scan)) {
-    sorted[scan->index] = 1;
-    scan = cuddT(scan);
-    }
-    Cudd_RecursiveDeref(dd,support);
-    support = NULL; /* so that we do not try to free it in case of failure */
-
-    /* Initialize symbol table for visited nodes. */
-    visited = st_init_table(st_ptrcmp, st_ptrhash);
-    if (visited == NULL) goto failure;
-
-    /* Collect all the nodes of this DD in the symbol table. */
-    for (i = 0; i < n; i++) {
-    retval = cuddCollectNodes(Cudd_Regular(f[i]),visited);
-    if (retval == 0) goto failure;
-    }
-
-    /* Find how many most significant hex digits are identical
-    ** in the addresses of all the nodes. Build a mask based
-    ** on this knowledge, so that digits that carry no information
-    ** will not be printed. This is done in two steps.
-    **  1. We scan the symbol table to find the bits that differ
-    **     in at least 2 addresses.
-    **  2. We choose one of the possible masks. There are 8 possible
-    **     masks for 32-bit integer, and 16 possible masks for 64-bit
-    **     integers.
-    */
-
-    /* Find the bits that are different. */
-    refAddr = (long) Cudd_Regular(f[0]);
-    diff = 0;
-    gen = st_init_gen(visited);
-    if (gen == NULL) goto failure;
-    while (st_gen(gen, (char **) &scan, NULL)) {
-    diff |= refAddr ^ (long) scan;
-    }
-    st_free_gen(gen); gen = NULL;
-
-    /* Choose the mask. */
-    for (i = 0; (unsigned) i < 8 * sizeof(long); i += 4) {
-    mask = (1 << i) - 1;
-    if (diff <= mask) break;
-    }
-
-    /* Write the header and the global attributes. */
-    retval = fprintf(fp,"digraph \"DD\" {\n");
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,
-    "size = \"7.5,10\"\ncenter = true;\nedge [dir = none];\n");
-    if (retval == EOF) return(0);
-
-    /* Write the input name subgraph by scanning the support array. */
-    retval = fprintf(fp,"{ node [shape = plaintext];\n");
-    if (retval == EOF) goto failure;
-    retval = fprintf(fp,"  edge [style = invis];\n");
-    if (retval == EOF) goto failure;
-    /* We use a name ("CONST NODES") with an embedded blank, because
-    ** it is unlikely to appear as an input name.
-    */
-    retval = fprintf(fp,"  \"CONST NODES\" [style = invis];\n");
-    if (retval == EOF) goto failure;
-    for (i = 0; i < nvars; i++) {
-        if (sorted[dd->invperm[i]]) {
-        if (inames == NULL || inames[dd->invperm[i]] == NULL) {
-        retval = fprintf(fp,"\" %d \" -> ", dd->invperm[i]);
-        } else {
-        retval = fprintf(fp,"\" %s \" -> ", inames[dd->invperm[i]]);
-        }
-            if (retval == EOF) goto failure;
-        }
-    }
-    retval = fprintf(fp,"\"CONST NODES\"; \n}\n");
-    if (retval == EOF) goto failure;
-
-    /* Write the output node subgraph. */
-    retval = fprintf(fp,"{ rank = same; node [shape = box]; edge [style = invis];\n");
-    if (retval == EOF) goto failure;
-    for (i = 0; i < n; i++) {
-    if (onames == NULL) {
-        retval = fprintf(fp,"\"F%d\"", i);
-    } else {
-        retval = fprintf(fp,"\"  %s  \"", onames[i]);
-    }
-    if (retval == EOF) goto failure;
-    if (i == n - 1) {
-        retval = fprintf(fp,"; }\n");
-    } else {
-        retval = fprintf(fp," -> ");
-    }
-    if (retval == EOF) goto failure;
-    }
-
-    /* Write rank info: All nodes with the same index have the same rank. */
-    for (i = 0; i < nvars; i++) {
-        if (sorted[dd->invperm[i]]) {
-        retval = fprintf(fp,"{ rank = same; ");
-        if (retval == EOF) goto failure;
-        if (inames == NULL || inames[dd->invperm[i]] == NULL) {
-        retval = fprintf(fp,"\" %d \";\n", dd->invperm[i]);
-        } else {
-        retval = fprintf(fp,"\" %s \";\n", inames[dd->invperm[i]]);
-        }
-            if (retval == EOF) goto failure;
-        nodelist = dd->subtables[i].nodelist;
-        slots = dd->subtables[i].slots;
-        for (j = 0; j < slots; j++) {
-        scan = nodelist[j];
-        while (scan != NULL) {
-            if (st_is_member(visited,(char *) scan)) {
-            retval = fprintf(fp,"\"%lx\";\n", (mask & (long) scan) / sizeof(DdNode));
-            if (retval == EOF) goto failure;
-            }
-            scan = scan->next;
-        }
-        }
-        retval = fprintf(fp,"}\n");
-        if (retval == EOF) goto failure;
-    }
-    }
-
-    /* All constants have the same rank. */
-    retval = fprintf(fp,
-    "{ rank = same; \"CONST NODES\";\n{ node [shape = box]; ");
-    if (retval == EOF) goto failure;
-    nodelist = dd->constants.nodelist;
-    slots = dd->constants.slots;
-    for (j = 0; j < slots; j++) {
-    scan = nodelist[j];
-    while (scan != NULL) {
-        if (st_is_member(visited,(char *) scan)) {
-        retval = fprintf(fp,"\"%lx\";\n", (mask & (long) scan) / sizeof(DdNode));
-        if (retval == EOF) goto failure;
-        }
-        scan = scan->next;
-    }
-    }
-    retval = fprintf(fp,"}\n}\n");
-    if (retval == EOF) goto failure;
-
-    /* Write edge info. */
-    /* Edges from the output nodes. */
-    for (i = 0; i < n; i++) {
-    if (onames == NULL) {
-        retval = fprintf(fp,"\"F%d\"", i);
-    } else {
-        retval = fprintf(fp,"\"  %s  \"", onames[i]);
-    }
-    if (retval == EOF) goto failure;
-    /* Account for the possible complement on the root. */
-    if (Cudd_IsComplement(f[i])) {
-        retval = fprintf(fp," -> \"%lx\" [style = dotted];\n",
-        (mask & (long) f[i]) / sizeof(DdNode));
-    } else {
-        retval = fprintf(fp," -> \"%lx\" [style = solid];\n",
-        (mask & (long) f[i]) / sizeof(DdNode));
-    }
-    if (retval == EOF) goto failure;
-    }
-
-    /* Edges from internal nodes. */
-    for (i = 0; i < nvars; i++) {
-        if (sorted[dd->invperm[i]]) {
-        nodelist = dd->subtables[i].nodelist;
-        slots = dd->subtables[i].slots;
-        for (j = 0; j < slots; j++) {
-        scan = nodelist[j];
-        while (scan != NULL) {
-            if (st_is_member(visited,(char *) scan)) {
-            retval = fprintf(fp,
-                "\"%lx\" -> \"%lx\";\n",
-                (mask & (long) scan) / sizeof(DdNode),
-                (mask & (long) cuddT(scan)) / sizeof(DdNode));
-            if (retval == EOF) goto failure;
-            if (Cudd_IsComplement(cuddE(scan))) {
-                retval = fprintf(fp,
-                "\"%lx\" -> \"%lx\" [style = dotted];\n",
-                (mask & (long) scan) / sizeof(DdNode),
-                (mask & (long) cuddE(scan)) / sizeof(DdNode));
-            } else {
-                retval = fprintf(fp,
-                "\"%lx\" -> \"%lx\" [style = dashed];\n",
-                (mask & (long) scan) / sizeof(DdNode),
-                (mask & (long) cuddE(scan)) / sizeof(DdNode));
-            }
-            if (retval == EOF) goto failure;
-            }
-            scan = scan->next;
-        }
-        }
-    }
-    }
-
-    /* Write constant labels. */
-    nodelist = dd->constants.nodelist;
-    slots = dd->constants.slots;
-    for (j = 0; j < slots; j++) {
-    scan = nodelist[j];
-    while (scan != NULL) {
-        if (st_is_member(visited,(char *) scan)) {
-        retval = fprintf(fp,"\"%lx\" [label = \"%g\"];\n",
-            (mask & (long) scan) / sizeof(DdNode), cuddV(scan));
-        if (retval == EOF) goto failure;
-        }
-        scan = scan->next;
-    }
-    }
-
-    /* Write trailer and return. */
-    retval = fprintf(fp,"}\n");
-    if (retval == EOF) goto failure;
-
-    st_free_table(visited);
-    FREE(sorted);
-    return(1);
-
-failure:
-    if (sorted != NULL) FREE(sorted);
-    if (support != NULL) Cudd_RecursiveDeref(dd,support);
-    if (visited != NULL) st_free_table(visited);
-    return(0);
-
-} /* end of Cudd_DumpDot */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Writes a daVinci file representing the argument BDDs.]
-
-  Description [Writes a daVinci file representing the argument BDDs.
-  It returns 1 in case of success; 0 otherwise (e.g., out-of-memory or
-  file system full).  Cudd_DumpDaVinci does not close the file: This
-  is the caller responsibility. Cudd_DumpDaVinci uses a minimal unique
-  subset of the hexadecimal address of a node as name for it.  If the
-  argument inames is non-null, it is assumed to hold the pointers to
-  the names of the inputs. Similarly for onames.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DumpDot Cudd_PrintDebug Cudd_DumpBlif Cudd_DumpDDcal
-  Cudd_DumpFactoredForm]
-
-******************************************************************************/
-int
-Cudd_DumpDaVinci(
-  DdManager * dd /* manager */,
-  int  n /* number of output nodes to be dumped */,
-  DdNode ** f /* array of output nodes to be dumped */,
-  char ** inames /* array of input names (or NULL) */,
-  char ** onames /* array of output names (or NULL) */,
-  FILE * fp /* pointer to the dump file */)
-{
-    DdNode    *support = NULL;
-    DdNode    *scan;
-    st_table    *visited = NULL;
-    int        retval;
-    int        i;
-    st_generator *gen;
-    long    refAddr, diff, mask;
-
-    /* Initialize symbol table for visited nodes. */
-    visited = st_init_table(st_ptrcmp, st_ptrhash);
-    if (visited == NULL) goto failure;
-
-    /* Collect all the nodes of this DD in the symbol table. */
-    for (i = 0; i < n; i++) {
-    retval = cuddCollectNodes(Cudd_Regular(f[i]),visited);
-    if (retval == 0) goto failure;
-    }
-
-    /* Find how many most significant hex digits are identical
-    ** in the addresses of all the nodes. Build a mask based
-    ** on this knowledge, so that digits that carry no information
-    ** will not be printed. This is done in two steps.
-    **  1. We scan the symbol table to find the bits that differ
-    **     in at least 2 addresses.
-    **  2. We choose one of the possible masks. There are 8 possible
-    **     masks for 32-bit integer, and 16 possible masks for 64-bit
-    **     integers.
-    */
-
-    /* Find the bits that are different. */
-    refAddr = (long) Cudd_Regular(f[0]);
-    diff = 0;
-    gen = st_init_gen(visited);
-    while (st_gen(gen, (char **) &scan, NULL)) {
-    diff |= refAddr ^ (long) scan;
-    }
-    st_free_gen(gen);
-
-    /* Choose the mask. */
-    for (i = 0; (unsigned) i < 8 * sizeof(long); i += 4) {
-    mask = (1 << i) - 1;
-    if (diff <= mask) break;
-    }
-    st_free_table(visited);
-
-    /* Initialize symbol table for visited nodes. */
-    visited = st_init_table(st_ptrcmp, st_ptrhash);
-    if (visited == NULL) goto failure;
-
-    retval = fprintf(fp, "[");
-    if (retval == EOF) goto failure;
-    /* Call the function that really gets the job done. */
-    for (i = 0; i < n; i++) {
-    if (onames == NULL) {
-        retval = fprintf(fp,
-                 "l(\"f%d\",n(\"root\",[a(\"OBJECT\",\"f%d\")],",
-                 i,i);
-    } else {
-        retval = fprintf(fp,
-                 "l(\"%s\",n(\"root\",[a(\"OBJECT\",\"%s\")],",
-                 onames[i], onames[i]);
-    }
-    if (retval == EOF) goto failure;
-    retval = fprintf(fp, "[e(\"edge\",[a(\"EDGECOLOR\",\"%s\"),a(\"_DIR\",\"none\")],",
-             Cudd_IsComplement(f[i]) ? "red" : "blue");
-    if (retval == EOF) goto failure;
-    retval = ddDoDumpDaVinci(dd,Cudd_Regular(f[i]),fp,visited,inames,mask);
-    if (retval == 0) goto failure;
-    retval = fprintf(fp, ")]))%s", i == n-1 ? "" : ",");
-    if (retval == EOF) goto failure;
-    }
-
-    /* Write trailer and return. */
-    retval = fprintf(fp, "]\n");
-    if (retval == EOF) goto failure;
-
-    st_free_table(visited);
-    return(1);
-
-failure:
-    if (support != NULL) Cudd_RecursiveDeref(dd,support);
-    if (visited != NULL) st_free_table(visited);
-    return(0);
-
-} /* end of Cudd_DumpDaVinci */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Writes a DDcal file representing the argument BDDs.]
-
-  Description [Writes a DDcal file representing the argument BDDs.
-  It returns 1 in case of success; 0 otherwise (e.g., out-of-memory or
-  file system full).  Cudd_DumpDDcal does not close the file: This
-  is the caller responsibility. Cudd_DumpDDcal uses a minimal unique
-  subset of the hexadecimal address of a node as name for it.  If the
-  argument inames is non-null, it is assumed to hold the pointers to
-  the names of the inputs. Similarly for onames.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DumpDot Cudd_PrintDebug Cudd_DumpBlif Cudd_DumpDaVinci
-  Cudd_DumpFactoredForm]
-
-******************************************************************************/
-int
-Cudd_DumpDDcal(
-  DdManager * dd /* manager */,
-  int  n /* number of output nodes to be dumped */,
-  DdNode ** f /* array of output nodes to be dumped */,
-  char ** inames /* array of input names (or NULL) */,
-  char ** onames /* array of output names (or NULL) */,
-  FILE * fp /* pointer to the dump file */)
-{
-    DdNode    *support = NULL;
-    DdNode    *scan;
-    int        *sorted = NULL;
-    int        nvars = dd->size;
-    st_table    *visited = NULL;
-    int        retval;
-    int        i;
-    st_generator *gen;
-    long    refAddr, diff, mask;
-
-    /* Initialize symbol table for visited nodes. */
-    visited = st_init_table(st_ptrcmp, st_ptrhash);
-    if (visited == NULL) goto failure;
-
-    /* Collect all the nodes of this DD in the symbol table. */
-    for (i = 0; i < n; i++) {
-    retval = cuddCollectNodes(Cudd_Regular(f[i]),visited);
-    if (retval == 0) goto failure;
-    }
-
-    /* Find how many most significant hex digits are identical
-    ** in the addresses of all the nodes. Build a mask based
-    ** on this knowledge, so that digits that carry no information
-    ** will not be printed. This is done in two steps.
-    **  1. We scan the symbol table to find the bits that differ
-    **     in at least 2 addresses.
-    **  2. We choose one of the possible masks. There are 8 possible
-    **     masks for 32-bit integer, and 16 possible masks for 64-bit
-    **     integers.
-    */
-
-    /* Find the bits that are different. */
-    refAddr = (long) Cudd_Regular(f[0]);
-    diff = 0;
-    gen = st_init_gen(visited);
-    while (st_gen(gen, (char **) &scan, NULL)) {
-    diff |= refAddr ^ (long) scan;
-    }
-    st_free_gen(gen);
-
-    /* Choose the mask. */
-    for (i = 0; (unsigned) i < 8 * sizeof(long); i += 4) {
-    mask = (1 << i) - 1;
-    if (diff <= mask) break;
-    }
-    st_free_table(visited);
-
-    /* Build a bit array with the support of f. */
-    sorted = ALLOC(int,nvars);
-    if (sorted == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    goto failure;
-    }
-    for (i = 0; i < nvars; i++) sorted[i] = 0;
-
-    /* Take the union of the supports of each output function. */
-    support = Cudd_VectorSupport(dd,f,n);
-    if (support == NULL) goto failure;
-    cuddRef(support);
-    scan = support;
-    while (!cuddIsConstant(scan)) {
-    sorted[scan->index] = 1;
-    scan = cuddT(scan);
-    }
-    Cudd_RecursiveDeref(dd,support);
-    support = NULL; /* so that we do not try to free it in case of failure */
-    for (i = 0; i < nvars; i++) {
-        if (sorted[dd->invperm[i]]) {
-        if (inames == NULL || inames[dd->invperm[i]] == NULL) {
-        retval = fprintf(fp,"v%d", dd->invperm[i]);
-        } else {
-        retval = fprintf(fp,"%s", inames[dd->invperm[i]]);
-        }
-            if (retval == EOF) goto failure;
-        }
-    retval = fprintf(fp,"%s", i == nvars - 1 ? "\n" : " * ");
-    if (retval == EOF) goto failure;
-    }
-    FREE(sorted);
-    sorted = NULL;
-
-    /* Initialize symbol table for visited nodes. */
-    visited = st_init_table(st_ptrcmp, st_ptrhash);
-    if (visited == NULL) goto failure;
-
-    /* Call the function that really gets the job done. */
-    for (i = 0; i < n; i++) {
-    retval = ddDoDumpDDcal(dd,Cudd_Regular(f[i]),fp,visited,inames,mask);
-    if (retval == 0) goto failure;
-    if (onames == NULL) {
-        retval = fprintf(fp, "f%d = ", i);
-    } else {
-        retval = fprintf(fp, "%s = ", onames[i]);
-    }
-    if (retval == EOF) goto failure;
-    retval = fprintf(fp, "n%lx%s\n",
-             ((long) f[i] & mask) / sizeof(DdNode),
-             Cudd_IsComplement(f[i]) ? "'" : "");
-    if (retval == EOF) goto failure;
-    }
-
-    /* Write trailer and return. */
-    retval = fprintf(fp, "[");
-    if (retval == EOF) goto failure;
-    for (i = 0; i < n; i++) {
-    if (onames == NULL) {
-        retval = fprintf(fp, "f%d", i);
-    } else {
-        retval = fprintf(fp, "%s", onames[i]);
-    }
-    retval = fprintf(fp, "%s", i == n-1 ? "" : " ");
-    if (retval == EOF) goto failure;
-    }
-    retval = fprintf(fp, "]\n");
-    if (retval == EOF) goto failure;
-
-    st_free_table(visited);
-    return(1);
-
-failure:
-    if (sorted != NULL) FREE(sorted);
-    if (support != NULL) Cudd_RecursiveDeref(dd,support);
-    if (visited != NULL) st_free_table(visited);
-    return(0);
-
-} /* end of Cudd_DumpDDcal */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Writes factored forms representing the argument BDDs.]
-
-  Description [Writes factored forms representing the argument BDDs.
-  The format of the factored form is the one used in the genlib files
-  for technology mapping in sis.  It returns 1 in case of success; 0
-  otherwise (e.g., file system full).  Cudd_DumpFactoredForm does not
-  close the file: This is the caller responsibility. Caution must be
-  exercised because a factored form may be exponentially larger than
-  the argument BDD.  If the argument inames is non-null, it is assumed
-  to hold the pointers to the names of the inputs. Similarly for
-  onames.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DumpDot Cudd_PrintDebug Cudd_DumpBlif Cudd_DumpDaVinci
-  Cudd_DumpDDcal]
-
-******************************************************************************/
-int
-Cudd_DumpFactoredForm(
-  DdManager * dd /* manager */,
-  int  n /* number of output nodes to be dumped */,
-  DdNode ** f /* array of output nodes to be dumped */,
-  char ** inames /* array of input names (or NULL) */,
-  char ** onames /* array of output names (or NULL) */,
-  FILE * fp /* pointer to the dump file */)
-{
-    int        retval;
-    int        i;
-
-    /* Call the function that really gets the job done. */
-    for (i = 0; i < n; i++) {
-    if (onames == NULL) {
-        retval = fprintf(fp, "f%d = ", i);
-    } else {
-        retval = fprintf(fp, "%s = ", onames[i]);
-    }
-    if (retval == EOF) return(0);
-    if (f[i] == DD_ONE(dd)) {
-        retval = fprintf(fp, "CONST1");
-        if (retval == EOF) return(0);
-    } else if (f[i] == Cudd_Not(DD_ONE(dd)) || f[i] == DD_ZERO(dd)) {
-        retval = fprintf(fp, "CONST0");
-        if (retval == EOF) return(0);
-    } else {
-        retval = fprintf(fp, "%s", Cudd_IsComplement(f[i]) ? "!(" : "");
-        if (retval == EOF) return(0);
-        retval = ddDoDumpFactoredForm(dd,Cudd_Regular(f[i]),fp,inames);
-        if (retval == 0) return(0);
-        retval = fprintf(fp, "%s", Cudd_IsComplement(f[i]) ? ")" : "");
-        if (retval == EOF) return(0);
-    }
-    retval = fprintf(fp, "%s", i == n-1 ? "" : "\n");
-    if (retval == EOF) return(0);
-    }
-
-    return(1);
-
-} /* end of Cudd_DumpFactoredForm */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_DumpBlif.]
-
-  Description [Performs the recursive step of Cudd_DumpBlif. Traverses
-  the BDD f and writes a multiplexer-network description to the file
-  pointed by fp in blif format. f is assumed to be a regular pointer
-  and ddDoDumpBlif guarantees this assumption in the recursive calls.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-ddDoDumpBlif(
-  DdManager * dd,
-  DdNode * f,
-  FILE * fp,
-  st_table * visited,
-  char ** names)
-{
-    DdNode    *T, *E;
-    int        retval;
-
-#ifdef DD_DEBUG
-    assert(!Cudd_IsComplement(f));
-#endif
-
-    /* If already visited, nothing to do. */
-    if (st_is_member(visited, (char *) f) == 1)
-        return(1);
-
-    /* Check for abnormal condition that should never happen. */
-    if (f == NULL)
-        return(0);
-
-    /* Mark node as visited. */
-    if (st_insert(visited, (char *) f, NULL) == ST_OUT_OF_MEM)
-        return(0);
-
-    /* Check for special case: If constant node, generate constant 1. */
-    if (f == DD_ONE(dd)) {
-#if SIZEOF_VOID_P == 8
-        retval = fprintf(fp, ".names %lx\n1\n",(unsigned long) f / (unsigned long) sizeof(DdNode));
-#else
-        retval = fprintf(fp, ".names %x\n1\n",(unsigned) f / (unsigned) sizeof(DdNode));
-#endif
-        if (retval == EOF) {
-            return(0);
-        } else {
-            return(1);
-        }
-    }
-
-    /* Check whether this is an ADD. We deal with 0-1 ADDs, but not
-    ** with the general case.
-    */
-    if (f == DD_ZERO(dd)) {
-#if SIZEOF_VOID_P == 8
-        retval = fprintf(fp, ".names %lx\n",(unsigned long) f / (unsigned long) sizeof(DdNode));
-#else
-        retval = fprintf(fp, ".names %x\n",(unsigned) f / (unsigned) sizeof(DdNode));
-#endif
-        if (retval == EOF) {
-            return(0);
-        } else {
-            return(1);
-        }
-    }
-    if (cuddIsConstant(f))
-    return(0);
-
-    /* Recursive calls. */
-    T = cuddT(f);
-    retval = ddDoDumpBlif(dd,T,fp,visited,names);
-    if (retval != 1) return(retval);
-    E = Cudd_Regular(cuddE(f));
-    retval = ddDoDumpBlif(dd,E,fp,visited,names);
-    if (retval != 1) return(retval);
-
-    /* Write multiplexer taking complement arc into account. */
-    if (names != NULL) {
-    retval = fprintf(fp,".names %s", names[f->index]);
-    } else {
-    retval = fprintf(fp,".names %d", f->index);
-    }
-    if (retval == EOF)
-    return(0);
-
-#if SIZEOF_VOID_P == 8
-    if (Cudd_IsComplement(cuddE(f))) {
-        retval = fprintf(fp," %lx %lx %lx\n11- 1\n0-0 1\n",
-        (unsigned long) T / (unsigned long) sizeof(DdNode),
-        (unsigned long) E / (unsigned long) sizeof(DdNode),
-        (unsigned long) f / (unsigned long) sizeof(DdNode));
-    } else {
-        retval = fprintf(fp," %lx %lx %lx\n11- 1\n0-1 1\n",
-        (unsigned long) T / (unsigned long) sizeof(DdNode),
-        (unsigned long) E / (unsigned long) sizeof(DdNode),
-        (unsigned long) f / (unsigned long) sizeof(DdNode));
-    }
-#else
-    if (Cudd_IsComplement(cuddE(f))) {
-        retval = fprintf(fp," %x %x %x\n11- 1\n0-0 1\n",
-        (unsigned) T / (unsigned) sizeof(DdNode),
-        (unsigned) E / (unsigned) sizeof(DdNode),
-        (unsigned) f / (unsigned) sizeof(DdNode));
-    } else {
-        retval = fprintf(fp," %x %x %x\n11- 1\n0-1 1\n",
-        (unsigned) T / (unsigned) sizeof(DdNode),
-        (unsigned) E / (unsigned) sizeof(DdNode),
-        (unsigned) f / (unsigned) sizeof(DdNode));
-    }
-#endif
-    if (retval == EOF) {
-        return(0);
-    } else {
-        return(1);
-    }
-
-} /* end of ddDoDumpBlif */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_DumpDaVinci.]
-
-  Description [Performs the recursive step of Cudd_DumpDaVinci. Traverses
-  the BDD f and writes a term expression to the file
-  pointed by fp in daVinci format. f is assumed to be a regular pointer
-  and ddDoDumpDaVinci guarantees this assumption in the recursive calls.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-ddDoDumpDaVinci(
-  DdManager * dd,
-  DdNode * f,
-  FILE * fp,
-  st_table * visited,
-  char ** names,
-  long  mask)
-{
-    DdNode    *T, *E;
-    int        retval;
-    long    id;
-
-#ifdef DD_DEBUG
-    assert(!Cudd_IsComplement(f));
-#endif
-
-    id = ((long) f & mask) / sizeof(DdNode);
-
-    /* If already visited, insert a reference. */
-    if (st_is_member(visited, (char *) f) == 1) {
-    retval = fprintf(fp,"r(\"%lx\")", id);
-        if (retval == EOF) {
-            return(0);
-        } else {
-            return(1);
-        }
-    }
-
-    /* Check for abnormal condition that should never happen. */
-    if (f == NULL)
-        return(0);
-
-    /* Mark node as visited. */
-    if (st_insert(visited, (char *) f, NULL) == ST_OUT_OF_MEM)
-        return(0);
-
-    /* Check for special case: If constant node, generate constant 1. */
-    if (Cudd_IsConstant(f)) {
-        retval = fprintf(fp, "l(\"%lx\",n(\"constant\",[a(\"OBJECT\",\"%g\")],[]))", id, cuddV(f));
-        if (retval == EOF) {
-            return(0);
-        } else {
-            return(1);
-        }
-    }
-
-    /* Recursive calls. */
-    if (names != NULL) {
-    retval = fprintf(fp,
-             "l(\"%lx\",n(\"internal\",[a(\"OBJECT\",\"%s\"),",
-             id, names[f->index]);
-    } else {
-    retval = fprintf(fp,
-             "l(\"%lx\",n(\"internal\",[a(\"OBJECT\",\"%d\"),",
-             id, f->index);
-    }
-    retval = fprintf(fp, "a(\"_GO\",\"ellipse\")],[e(\"then\",[a(\"EDGECOLOR\",\"blue\"),a(\"_DIR\",\"none\")],");
-    if (retval == EOF) return(0);
-    T = cuddT(f);
-    retval = ddDoDumpDaVinci(dd,T,fp,visited,names,mask);
-    if (retval != 1) return(retval);
-    retval = fprintf(fp, "),e(\"else\",[a(\"EDGECOLOR\",\"%s\"),a(\"_DIR\",\"none\")],",
-             Cudd_IsComplement(cuddE(f)) ? "red" : "green");
-    if (retval == EOF) return(0);
-    E = Cudd_Regular(cuddE(f));
-    retval = ddDoDumpDaVinci(dd,E,fp,visited,names,mask);
-    if (retval != 1) return(retval);
-
-    retval = fprintf(fp,")]))");
-    if (retval == EOF) {
-        return(0);
-    } else {
-        return(1);
-    }
-
-} /* end of ddDoDumpDaVinci */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_DumpDDcal.]
-
-  Description [Performs the recursive step of Cudd_DumpDDcal. Traverses
-  the BDD f and writes a line for each node to the file
-  pointed by fp in DDcal format. f is assumed to be a regular pointer
-  and ddDoDumpDDcal guarantees this assumption in the recursive calls.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-ddDoDumpDDcal(
-  DdManager * dd,
-  DdNode * f,
-  FILE * fp,
-  st_table * visited,
-  char ** names,
-  long  mask)
-{
-    DdNode    *T, *E;
-    int        retval;
-    long    id, idT, idE;
-
-#ifdef DD_DEBUG
-    assert(!Cudd_IsComplement(f));
-#endif
-
-    id = ((long) f & mask) / sizeof(DdNode);
-
-    /* If already visited, do nothing. */
-    if (st_is_member(visited, (char *) f) == 1) {
-    return(1);
-    }
-
-    /* Check for abnormal condition that should never happen. */
-    if (f == NULL)
-        return(0);
-
-    /* Mark node as visited. */
-    if (st_insert(visited, (char *) f, NULL) == ST_OUT_OF_MEM)
-        return(0);
-
-    /* Check for special case: If constant node, assign constant. */
-    if (Cudd_IsConstant(f)) {
-    if (f != DD_ONE(dd) && f != DD_ZERO(dd))
-        return(0);
-    retval = fprintf(fp, "n%lx = %g\n", id, cuddV(f));
-        if (retval == EOF) {
-            return(0);
-        } else {
-            return(1);
-        }
-    }
-
-    /* Recursive calls. */
-    T = cuddT(f);
-    retval = ddDoDumpDDcal(dd,T,fp,visited,names,mask);
-    if (retval != 1) return(retval);
-    E = Cudd_Regular(cuddE(f));
-    retval = ddDoDumpDDcal(dd,E,fp,visited,names,mask);
-    if (retval != 1) return(retval);
-    idT = ((long) T & mask) / sizeof(DdNode);
-    idE = ((long) E & mask) / sizeof(DdNode);
-    if (names != NULL) {
-    retval = fprintf(fp, "n%lx = %s * n%lx + %s' * n%lx%s\n",
-             id, names[f->index], idT, names[f->index],
-             idE, Cudd_IsComplement(cuddE(f)) ? "'" : "");
-    } else {
-    retval = fprintf(fp, "n%lx = v%d * n%lx + v%d' * n%lx%s\n",
-             id, f->index, idT, f->index,
-             idE, Cudd_IsComplement(cuddE(f)) ? "'" : "");
-    }
-    if (retval == EOF) {
-        return(0);
-    } else {
-        return(1);
-    }
-
-} /* end of ddDoDumpDDcal */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_DumpFactoredForm.]
-
-  Description [Performs the recursive step of
-  Cudd_DumpFactoredForm. Traverses the BDD f and writes a factored
-  form for each node to the file pointed by fp in terms of the
-  factored forms of the children. Constants are propagated, and
-  absorption is applied.  f is assumed to be a regular pointer and
-  ddDoDumpFActoredForm guarantees this assumption in the recursive
-  calls.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DumpFactoredForm]
-
-******************************************************************************/
-static int
-ddDoDumpFactoredForm(
-  DdManager * dd,
-  DdNode * f,
-  FILE * fp,
-  char ** names)
-{
-    DdNode    *T, *E;
-    int        retval;
-
-#ifdef DD_DEBUG
-    assert(!Cudd_IsComplement(f));
-    assert(!Cudd_IsConstant(f));
-#endif
-
-    /* Check for abnormal condition that should never happen. */
-    if (f == NULL)
-        return(0);
-
-    /* Recursive calls. */
-    T = cuddT(f);
-    E = cuddE(f);
-    if (T != DD_ZERO(dd)) {
-    if (E != DD_ONE(dd)) {
-        if (names != NULL) {
-        retval = fprintf(fp, "%s", names[f->index]);
-        } else {
-        retval = fprintf(fp, "x%d", f->index);
-        }
-        if (retval == EOF) return(0);
-    }
-    if (T != DD_ONE(dd)) {
-        retval = fprintf(fp, "%s(", E != DD_ONE(dd) ? " * " : "");
-        if (retval == EOF) return(0);
-        retval = ddDoDumpFactoredForm(dd,T,fp,names);
-        if (retval != 1) return(retval);
-        retval = fprintf(fp, ")");
-        if (retval == EOF) return(0);
-    }
-    if (E == Cudd_Not(DD_ONE(dd)) || E == DD_ZERO(dd)) return(1);
-    retval = fprintf(fp, " + ");
-    if (retval == EOF) return(0);
-    }
-    E = Cudd_Regular(E);
-    if (T != DD_ONE(dd)) {
-    if (names != NULL) {
-        retval = fprintf(fp, "!%s", names[f->index]);
-    } else {
-        retval = fprintf(fp, "!x%d", f->index);
-    }
-    if (retval == EOF) return(0);
-    }
-    if (E != DD_ONE(dd)) {
-    retval = fprintf(fp, "%s%s(", T != DD_ONE(dd) ? " * " : "",
-             E != cuddE(f) ? "!" : "");
-    if (retval == EOF) return(0);
-    retval = ddDoDumpFactoredForm(dd,E,fp,names);
-    if (retval != 1) return(retval);
-    retval = fprintf(fp, ")");
-    if (retval == EOF) return(0);
-    }
-    return(1);
-
-} /* end of ddDoDumpFactoredForm */
-
diff --git a/src/bdd/cudd/cuddGenCof.c b/src/bdd/cudd/cuddGenCof.c
deleted file mode 100644
index 142ee27e..00000000
--- a/src/bdd/cudd/cuddGenCof.c
+++ /dev/null
@@ -1,1968 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddGenCof.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Generalized cofactors for BDDs and ADDs.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_bddConstrain()
-        <li> Cudd_bddRestrict()
-        <li> Cudd_addConstrain()
-        <li> Cudd_bddConstrainDecomp()
-        <li> Cudd_addRestrict()
-        <li> Cudd_bddCharToVect()
-        <li> Cudd_bddLICompaction()
-        <li> Cudd_bddSqueeze()
-        <li> Cudd_SubsetCompress()
-        <li> Cudd_SupersetCompress()
-        </ul>
-        Internal procedures included in this module:
-        <ul>
-        <li> cuddBddConstrainRecur()
-        <li> cuddBddRestrictRecur()
-        <li> cuddAddConstrainRecur()
-        <li> cuddAddRestrictRecur()
-        <li> cuddBddLICompaction()
-        </ul>
-        Static procedures included in this module:
-            <ul>
-        <li> cuddBddConstrainDecomp()
-        <li> cuddBddCharToVect()
-        <li> cuddBddLICMarkEdges()
-        <li> cuddBddLICBuildResult()
-        <li> cuddBddSqueeze()
-        </ul>
-        ]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/* Codes for edge markings in Cudd_bddLICompaction.  The codes are defined
-** so that they can be bitwise ORed to implement the code priority scheme.
-*/
-#define DD_LIC_DC 0
-#define DD_LIC_1  1
-#define DD_LIC_0  2
-#define DD_LIC_NL 3
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/* Key for the cache used in the edge marking phase. */
-typedef struct MarkCacheKey {
-    DdNode *f;
-    DdNode *c;
-} MarkCacheKey;
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddGenCof.c,v 1.1.1.1 2003/02/24 22:23:52 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int cuddBddConstrainDecomp ARGS((DdManager *dd, DdNode *f, DdNode **decomp));
-static DdNode * cuddBddCharToVect ARGS((DdManager *dd, DdNode *f, DdNode *x));
-static int cuddBddLICMarkEdges ARGS((DdManager *dd, DdNode *f, DdNode *c, st_table *table, st_table *cache));
-static DdNode * cuddBddLICBuildResult ARGS((DdManager *dd, DdNode *f, st_table *cache, st_table *table));
-static int MarkCacheHash ARGS((char *ptr, int modulus));
-static int MarkCacheCompare ARGS((const char *ptr1, const char *ptr2));
-static enum st_retval MarkCacheCleanUp ARGS((char *key, char *value, char *arg));
-static DdNode * cuddBddSqueeze ARGS((DdManager *dd, DdNode *l, DdNode *u));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes f constrain c.]
-
-  Description [Computes f constrain c (f @ c).
-  Uses a canonical form: (f' @ c) = ( f @ c)'.  (Note: this is not true
-  for c.)  List of special cases:
-    <ul>
-    <li> f @ 0 = 0
-    <li> f @ 1 = f
-    <li> 0 @ c = 0
-    <li> 1 @ c = 1
-    <li> f @ f = 1
-    <li> f @ f'= 0
-    </ul>
-  Returns a pointer to the result if successful; NULL otherwise. Note that if
-  F=(f1,...,fn) and reordering takes place while computing F @ c, then the
-  image restriction property (Img(F,c) = Img(F @ c)) is lost.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddRestrict Cudd_addConstrain]
-
-******************************************************************************/
-DdNode *
-Cudd_bddConstrain(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * c)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddBddConstrainRecur(dd,f,c);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_bddConstrain */
-
-
-/**Function********************************************************************
-
-  Synopsis [BDD restrict according to Coudert and Madre's algorithm
-  (ICCAD90).]
-
-  Description [BDD restrict according to Coudert and Madre's algorithm
-  (ICCAD90). Returns the restricted BDD if successful; otherwise NULL.
-  If application of restrict results in a BDD larger than the input
-  BDD, the input BDD is returned.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddConstrain Cudd_addRestrict]
-
-******************************************************************************/
-DdNode *
-Cudd_bddRestrict(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * c)
-{
-    DdNode *suppF, *suppC, *commonSupport;
-    DdNode *cplus, *res;
-    int retval;
-    int sizeF, sizeRes;
-
-    /* Check terminal cases here to avoid computing supports in trivial cases.
-    ** This also allows us notto check later for the case c == 0, in which
-    ** there is no common support. */
-    if (c == Cudd_Not(DD_ONE(dd))) return(Cudd_Not(DD_ONE(dd)));
-    if (Cudd_IsConstant(f)) return(f);
-    if (f == c) return(DD_ONE(dd));
-    if (f == Cudd_Not(c)) return(Cudd_Not(DD_ONE(dd)));
-
-    /* Check if supports intersect. */
-    retval = Cudd_ClassifySupport(dd,f,c,&commonSupport,&suppF,&suppC);
-    if (retval == 0) {
-    return(NULL);
-    }
-    cuddRef(commonSupport); cuddRef(suppF); cuddRef(suppC);
-    Cudd_IterDerefBdd(dd,suppF);
-
-    if (commonSupport == DD_ONE(dd)) {
-    Cudd_IterDerefBdd(dd,commonSupport);
-    Cudd_IterDerefBdd(dd,suppC);
-    return(f);
-    }
-    Cudd_IterDerefBdd(dd,commonSupport);
-
-    /* Abstract from c the variables that do not appear in f. */
-    cplus = Cudd_bddExistAbstract(dd, c, suppC);
-    if (cplus == NULL) {
-    Cudd_IterDerefBdd(dd,suppC);
-    return(NULL);
-    }
-    cuddRef(cplus);
-    Cudd_IterDerefBdd(dd,suppC);
-
-    do {
-    dd->reordered = 0;
-    res = cuddBddRestrictRecur(dd, f, cplus);
-    } while (dd->reordered == 1);
-    if (res == NULL) {
-    Cudd_IterDerefBdd(dd,cplus);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_IterDerefBdd(dd,cplus);
-    /* Make restric safe by returning the smaller of the input and the
-    ** result. */
-    sizeF = Cudd_DagSize(f);
-    sizeRes = Cudd_DagSize(res);
-    if (sizeF <= sizeRes) {
-    Cudd_IterDerefBdd(dd, res);
-    return(f);
-    } else {
-    cuddDeref(res);
-    return(res);
-    }
-
-} /* end of Cudd_bddRestrict */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes f constrain c for ADDs.]
-
-  Description [Computes f constrain c (f @ c), for f an ADD and c a 0-1
-  ADD.  List of special cases:
-    <ul>
-    <li> F @ 0 = 0
-    <li> F @ 1 = F
-    <li> 0 @ c = 0
-    <li> 1 @ c = 1
-    <li> F @ F = 1
-    </ul>
-  Returns a pointer to the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddConstrain]
-
-******************************************************************************/
-DdNode *
-Cudd_addConstrain(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * c)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddAddConstrainRecur(dd,f,c);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_addConstrain */
-
-
-/**Function********************************************************************
-
-  Synopsis [BDD conjunctive decomposition as in McMillan's CAV96 paper.]
-
-  Description [BDD conjunctive decomposition as in McMillan's CAV96
-  paper.  The decomposition is canonical only for a given variable
-  order. If canonicity is required, variable ordering must be disabled
-  after the decomposition has been computed. Returns an array with one
-  entry for each BDD variable in the manager if successful; otherwise
-  NULL. The components of the solution have their reference counts
-  already incremented (unlike the results of most other functions in
-  the package.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddConstrain Cudd_bddExistAbstract]
-
-******************************************************************************/
-DdNode **
-Cudd_bddConstrainDecomp(
-  DdManager * dd,
-  DdNode * f)
-{
-    DdNode **decomp;
-    int res;
-    int i;
-
-    /* Create an initialize decomposition array. */
-    decomp = ALLOC(DdNode *,dd->size);
-    if (decomp == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    for (i = 0; i < dd->size; i++) {
-    decomp[i] = NULL;
-    }
-    do {
-    dd->reordered = 0;
-    /* Clean up the decomposition array in case reordering took place. */
-    for (i = 0; i < dd->size; i++) {
-        if (decomp[i] != NULL) {
-        Cudd_IterDerefBdd(dd, decomp[i]);
-        decomp[i] = NULL;
-        }
-    }
-    res = cuddBddConstrainDecomp(dd,f,decomp);
-    } while (dd->reordered == 1);
-    if (res == 0) {
-    FREE(decomp);
-    return(NULL);
-    }
-    /* Missing components are constant ones. */
-    for (i = 0; i < dd->size; i++) {
-    if (decomp[i] == NULL) {
-        decomp[i] = DD_ONE(dd);
-        cuddRef(decomp[i]);
-    }
-    }
-    return(decomp);
-
-} /* end of Cudd_bddConstrainDecomp */
-
-
-/**Function********************************************************************
-
-  Synopsis [ADD restrict according to Coudert and Madre's algorithm
-  (ICCAD90).]
-
-  Description [ADD restrict according to Coudert and Madre's algorithm
-  (ICCAD90). Returns the restricted ADD if successful; otherwise NULL.
-  If application of restrict results in an ADD larger than the input
-  ADD, the input ADD is returned.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addConstrain Cudd_bddRestrict]
-
-******************************************************************************/
-DdNode *
-Cudd_addRestrict(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * c)
-{
-    DdNode *supp_f, *supp_c;
-    DdNode *res, *commonSupport;
-    int intersection;
-    int sizeF, sizeRes;
-
-    /* Check if supports intersect. */
-    supp_f = Cudd_Support(dd, f);
-    if (supp_f == NULL) {
-    return(NULL);
-    }
-    cuddRef(supp_f);
-    supp_c = Cudd_Support(dd, c);
-    if (supp_c == NULL) {
-    Cudd_RecursiveDeref(dd,supp_f);
-    return(NULL);
-    }
-    cuddRef(supp_c);
-    commonSupport = Cudd_bddLiteralSetIntersection(dd, supp_f, supp_c);
-    if (commonSupport == NULL) {
-    Cudd_RecursiveDeref(dd,supp_f);
-    Cudd_RecursiveDeref(dd,supp_c);
-    return(NULL);
-    }
-    cuddRef(commonSupport);
-    Cudd_RecursiveDeref(dd,supp_f);
-    Cudd_RecursiveDeref(dd,supp_c);
-    intersection = commonSupport != DD_ONE(dd);
-    Cudd_RecursiveDeref(dd,commonSupport);
-
-    if (intersection) {
-    do {
-        dd->reordered = 0;
-        res = cuddAddRestrictRecur(dd, f, c);
-    } while (dd->reordered == 1);
-    sizeF = Cudd_DagSize(f);
-    sizeRes = Cudd_DagSize(res);
-    if (sizeF <= sizeRes) {
-        cuddRef(res);
-        Cudd_RecursiveDeref(dd, res);
-        return(f);
-    } else {
-        return(res);
-    }
-    } else {
-    return(f);
-    }
-
-} /* end of Cudd_addRestrict */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes a vector whose image equals a non-zero function.]
-
-  Description [Computes a vector of BDDs whose image equals a non-zero
-  function.
-  The result depends on the variable order. The i-th component of the vector
-  depends only on the first i variables in the order.  Each BDD in the vector
-  is not larger than the BDD of the given characteristic function.  This
-  function is based on the description of char-to-vect in "Verification of
-  Sequential Machines Using Boolean Functional Vectors" by O. Coudert, C.
-  Berthet and J. C. Madre.
-  Returns a pointer to an array containing the result if successful; NULL
-  otherwise. The size of the array equals the number of variables in the
-  manager. The components of the solution have their reference counts 
-  already incremented (unlike the results of most other functions in 
-  the package.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddConstrain]
-
-******************************************************************************/
-DdNode **
-Cudd_bddCharToVect(
-  DdManager * dd,
-  DdNode * f)
-{
-    int i, j;
-    DdNode **vect;
-    DdNode *res = NULL;
-
-    if (f == Cudd_Not(DD_ONE(dd))) return(NULL);
-
-    vect = ALLOC(DdNode *, dd->size);
-    if (vect == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-
-    do {
-    dd->reordered = 0;
-    for (i = 0; i < dd->size; i++) {
-        res = cuddBddCharToVect(dd,f,dd->vars[dd->invperm[i]]);
-        if (res == NULL) {
-        /* Clean up the vector array in case reordering took place. */
-        for (j = 0; j < i; j++) {
-            Cudd_IterDerefBdd(dd, vect[dd->invperm[j]]);
-        }
-        break;
-        }
-        cuddRef(res);
-        vect[dd->invperm[i]] = res;
-    }
-    } while (dd->reordered == 1);
-    if (res == NULL) {
-    FREE(vect);
-    return(NULL);
-    }
-    return(vect);
-
-} /* end of Cudd_bddCharToVect */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs safe minimization of a BDD.]
-
-  Description [Performs safe minimization of a BDD. Given the BDD
-  <code>f</code> of a function to be minimized and a BDD
-  <code>c</code> representing the care set, Cudd_bddLICompaction
-  produces the BDD of a function that agrees with <code>f</code>
-  wherever <code>c</code> is 1.  Safe minimization means that the size
-  of the result is guaranteed not to exceed the size of
-  <code>f</code>. This function is based on the DAC97 paper by Hong et
-  al..  Returns a pointer to the result if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddRestrict]
-
-******************************************************************************/
-DdNode *
-Cudd_bddLICompaction(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be minimized */,
-  DdNode * c /* constraint (care set) */)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddBddLICompaction(dd,f,c);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_bddLICompaction */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds a small BDD in a function interval.]
-
-  Description [Finds a small BDD in a function interval. Given BDDs
-  <code>l</code> and <code>u</code>, representing the lower bound and
-  upper bound of a function interval, Cudd_bddSqueeze produces the BDD
-  of a function within the interval with a small BDD.  Returns a
-  pointer to the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddRestrict Cudd_bddLICompaction]
-
-******************************************************************************/
-DdNode *
-Cudd_bddSqueeze(
-  DdManager * dd /* manager */,
-  DdNode * l /* lower bound */,
-  DdNode * u /* upper bound */)
-{
-    DdNode *res;
-    int sizeRes, sizeL, sizeU;
-
-    do {
-    dd->reordered = 0;
-    res = cuddBddSqueeze(dd,l,u);
-    } while (dd->reordered == 1);
-    if (res == NULL) return(NULL);
-    /* We now compare the result with the bounds and return the smallest.
-    ** We first compare to u, so that in case l == 0 and u == 1, we return
-    ** 0 as in other minimization algorithms. */
-    sizeRes = Cudd_DagSize(res);
-    sizeU = Cudd_DagSize(u);
-    if (sizeU <= sizeRes) {
-    cuddRef(res);
-    Cudd_IterDerefBdd(dd,res);
-    res = u;
-    sizeRes = sizeU;
-    }
-    sizeL = Cudd_DagSize(l);
-    if (sizeL <= sizeRes) {
-    cuddRef(res);
-    Cudd_IterDerefBdd(dd,res);
-    res = l;
-    sizeRes = sizeL;
-    }
-    return(res);
-
-} /* end of Cudd_bddSqueeze */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds a small BDD that agrees with <code>f</code> over
-  <code>c</code>.]
-
-  Description [Finds a small BDD that agrees with <code>f</code> over
-  <code>c</code>.  Returns a pointer to the result if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddRestrict Cudd_bddLICompaction Cudd_bddSqueeze]
-
-******************************************************************************/
-DdNode *
-Cudd_bddMinimize(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * c)
-{
-    DdNode *cplus, *res;
-
-    if (c == Cudd_Not(DD_ONE(dd))) return(c);
-    if (Cudd_IsConstant(f)) return(f);
-    if (f == c) return(DD_ONE(dd));
-    if (f == Cudd_Not(c)) return(Cudd_Not(DD_ONE(dd)));
-
-    cplus = Cudd_RemapOverApprox(dd,c,0,0,1.0);
-    if (cplus == NULL) return(NULL);
-    cuddRef(cplus);
-    res = Cudd_bddLICompaction(dd,f,cplus);
-    if (res == NULL) {
-    Cudd_IterDerefBdd(dd,cplus);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_IterDerefBdd(dd,cplus);
-    cuddDeref(res);
-    return(res);
-
-} /* end of Cudd_bddMinimize */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Find a dense subset of BDD <code>f</code>.]
-
-  Description [Finds a dense subset of BDD <code>f</code>. Density is
-  the ratio of number of minterms to number of nodes.  Uses several
-  techniques in series. It is more expensive than other subsetting
-  procedures, but often produces better results. See
-  Cudd_SubsetShortPaths for a description of the threshold and nvars
-  parameters.  Returns a pointer to the result if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SubsetRemap Cudd_SubsetShortPaths Cudd_SubsetHeavyBranch
-  Cudd_bddSqueeze]
-
-******************************************************************************/
-DdNode *
-Cudd_SubsetCompress(
-  DdManager * dd /* manager */,
-  DdNode * f /* BDD whose subset is sought */,
-  int  nvars /* number of variables in the support of f */,
-  int  threshold /* maximum number of nodes in the subset */)
-{
-    DdNode *res, *tmp1, *tmp2;
-
-    tmp1 = Cudd_SubsetShortPaths(dd, f, nvars, threshold, 0);
-    if (tmp1 == NULL) return(NULL);
-    cuddRef(tmp1);
-    tmp2 = Cudd_RemapUnderApprox(dd,tmp1,nvars,0,1.0);
-    if (tmp2 == NULL) {
-    Cudd_IterDerefBdd(dd,tmp1);
-    return(NULL);
-    }
-    cuddRef(tmp2);
-    Cudd_IterDerefBdd(dd,tmp1);
-    res = Cudd_bddSqueeze(dd,tmp2,f);
-    if (res == NULL) {
-    Cudd_IterDerefBdd(dd,tmp2);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_IterDerefBdd(dd,tmp2);
-    cuddDeref(res);
-    return(res);
-
-} /* end of Cudd_SubsetCompress */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Find a dense superset of BDD <code>f</code>.]
-
-  Description [Finds a dense superset of BDD <code>f</code>. Density is
-  the ratio of number of minterms to number of nodes.  Uses several
-  techniques in series. It is more expensive than other supersetting
-  procedures, but often produces better results. See
-  Cudd_SupersetShortPaths for a description of the threshold and nvars
-  parameters.  Returns a pointer to the result if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SubsetCompress Cudd_SupersetRemap Cudd_SupersetShortPaths
-  Cudd_SupersetHeavyBranch Cudd_bddSqueeze]
-
-******************************************************************************/
-DdNode *
-Cudd_SupersetCompress(
-  DdManager * dd /* manager */,
-  DdNode * f /* BDD whose superset is sought */,
-  int  nvars /* number of variables in the support of f */,
-  int  threshold /* maximum number of nodes in the superset */)
-{
-    DdNode *subset;
-
-    subset = Cudd_SubsetCompress(dd, Cudd_Not(f),nvars,threshold);
-
-    return(Cudd_NotCond(subset, (subset != NULL)));
-
-} /* end of Cudd_SupersetCompress */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_bddConstrain.]
-
-  Description [Performs the recursive step of Cudd_bddConstrain.
-  Returns a pointer to the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddConstrain]
-
-******************************************************************************/
-DdNode *
-cuddBddConstrainRecur(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * c)
-{
-    DdNode       *Fv, *Fnv, *Cv, *Cnv, *t, *e, *r;
-    DdNode     *one, *zero;
-    unsigned int topf, topc;
-    int         index;
-    int          comple = 0;
-
-    statLine(dd);
-    one = DD_ONE(dd);
-    zero = Cudd_Not(one);
-
-    /* Trivial cases. */
-    if (c == one)        return(f);
-    if (c == zero)        return(zero);
-    if (Cudd_IsConstant(f))    return(f);
-    if (f == c)            return(one);
-    if (f == Cudd_Not(c))    return(zero);
-
-    /* Make canonical to increase the utilization of the cache. */
-    if (Cudd_IsComplement(f)) {
-    f = Cudd_Not(f);
-    comple = 1;
-    }
-    /* Now f is a regular pointer to a non-constant node; c is also
-    ** non-constant, but may be complemented.
-    */
-
-    /* Check the cache. */
-    r = cuddCacheLookup2(dd, Cudd_bddConstrain, f, c);
-    if (r != NULL) {
-    return(Cudd_NotCond(r,comple));
-    }
-    
-    /* Recursive step. */
-    topf = dd->perm[f->index];
-    topc = dd->perm[Cudd_Regular(c)->index];
-    if (topf <= topc) {
-    index = f->index;
-    Fv = cuddT(f); Fnv = cuddE(f);
-    } else {
-    index = Cudd_Regular(c)->index;
-    Fv = Fnv = f;
-    }
-    if (topc <= topf) {
-    Cv = cuddT(Cudd_Regular(c)); Cnv = cuddE(Cudd_Regular(c));
-    if (Cudd_IsComplement(c)) {
-        Cv = Cudd_Not(Cv);
-        Cnv = Cudd_Not(Cnv);
-    }
-    } else {
-    Cv = Cnv = c;
-    }
-
-    if (!Cudd_IsConstant(Cv)) {
-    t = cuddBddConstrainRecur(dd, Fv, Cv);
-    if (t == NULL)
-        return(NULL);
-    } else if (Cv == one) {
-    t = Fv;
-    } else {        /* Cv == zero: return Fnv @ Cnv */
-    if (Cnv == one) {
-        r = Fnv;
-    } else {
-        r = cuddBddConstrainRecur(dd, Fnv, Cnv);
-        if (r == NULL)
-        return(NULL);
-    }
-    return(Cudd_NotCond(r,comple));
-    }
-    cuddRef(t);
-
-    if (!Cudd_IsConstant(Cnv)) {
-    e = cuddBddConstrainRecur(dd, Fnv, Cnv);
-    if (e == NULL) {
-        Cudd_IterDerefBdd(dd, t);
-        return(NULL);
-    }
-    } else if (Cnv == one) {
-    e = Fnv;
-    } else {        /* Cnv == zero: return Fv @ Cv previously computed */
-    cuddDeref(t);
-    return(Cudd_NotCond(t,comple));
-    }
-    cuddRef(e);
-
-    if (Cudd_IsComplement(t)) {
-    t = Cudd_Not(t);
-    e = Cudd_Not(e);
-    r = (t == e) ? t : cuddUniqueInter(dd, index, t, e);
-    if (r == NULL) {
-        Cudd_IterDerefBdd(dd, e);
-        Cudd_IterDerefBdd(dd, t);
-        return(NULL);
-    }
-    r = Cudd_Not(r);
-    } else {
-    r = (t == e) ? t : cuddUniqueInter(dd, index, t, e);
-    if (r == NULL) {
-        Cudd_IterDerefBdd(dd, e);
-        Cudd_IterDerefBdd(dd, t);
-        return(NULL);
-    }
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-
-    cuddCacheInsert2(dd, Cudd_bddConstrain, f, c, r);
-    return(Cudd_NotCond(r,comple));
-
-} /* end of cuddBddConstrainRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_bddRestrict.]
-
-  Description [Performs the recursive step of Cudd_bddRestrict.
-  Returns the restricted BDD if successful; otherwise NULL.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddRestrict]
-
-******************************************************************************/
-DdNode *
-cuddBddRestrictRecur(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * c)
-{
-    DdNode     *Fv, *Fnv, *Cv, *Cnv, *t, *e, *r, *one, *zero;
-    unsigned int topf, topc;
-    int         index;
-    int         comple = 0;
-
-    statLine(dd);
-    one = DD_ONE(dd);
-    zero = Cudd_Not(one);
-
-    /* Trivial cases */
-    if (c == one)        return(f);
-    if (c == zero)        return(zero);
-    if (Cudd_IsConstant(f))    return(f);
-    if (f == c)            return(one);
-    if (f == Cudd_Not(c))    return(zero);
-
-    /* Make canonical to increase the utilization of the cache. */
-    if (Cudd_IsComplement(f)) {
-    f = Cudd_Not(f);
-    comple = 1;
-    }
-    /* Now f is a regular pointer to a non-constant node; c is also
-    ** non-constant, but may be complemented.
-    */
-
-    /* Check the cache. */
-    r = cuddCacheLookup2(dd, Cudd_bddRestrict, f, c);
-    if (r != NULL) {
-    return(Cudd_NotCond(r,comple));
-    }
-
-    topf = dd->perm[f->index];
-    topc = dd->perm[Cudd_Regular(c)->index];
-
-    if (topc < topf) {    /* abstract top variable from c */
-    DdNode *d, *s1, *s2;
-
-    /* Find complements of cofactors of c. */
-    if (Cudd_IsComplement(c)) {
-        s1 = cuddT(Cudd_Regular(c));
-        s2 = cuddE(Cudd_Regular(c));
-    } else {
-        s1 = Cudd_Not(cuddT(c));
-        s2 = Cudd_Not(cuddE(c));
-    }
-    /* Take the OR by applying DeMorgan. */
-    d = cuddBddAndRecur(dd, s1, s2);
-    if (d == NULL) return(NULL);
-    d = Cudd_Not(d);
-    cuddRef(d);
-    r = cuddBddRestrictRecur(dd, f, d);
-    if (r == NULL) {
-        Cudd_IterDerefBdd(dd, d);
-        return(NULL);
-    }
-    cuddRef(r);
-    Cudd_IterDerefBdd(dd, d);
-    cuddCacheInsert2(dd, Cudd_bddRestrict, f, c, r);
-    cuddDeref(r);
-    return(Cudd_NotCond(r,comple));
-    }
-
-    /* Recursive step. Here topf <= topc. */
-    index = f->index;
-    Fv = cuddT(f); Fnv = cuddE(f);
-    if (topc == topf) {
-    Cv = cuddT(Cudd_Regular(c)); Cnv = cuddE(Cudd_Regular(c));
-    if (Cudd_IsComplement(c)) {
-        Cv = Cudd_Not(Cv);
-        Cnv = Cudd_Not(Cnv);
-    }
-    } else {
-    Cv = Cnv = c;
-    }
-
-    if (!Cudd_IsConstant(Cv)) {
-    t = cuddBddRestrictRecur(dd, Fv, Cv);
-    if (t == NULL) return(NULL);
-    } else if (Cv == one) {
-    t = Fv;
-    } else {        /* Cv == zero: return(Fnv @ Cnv) */
-    if (Cnv == one) {
-        r = Fnv;
-    } else {
-        r = cuddBddRestrictRecur(dd, Fnv, Cnv);
-        if (r == NULL) return(NULL);
-    }
-    return(Cudd_NotCond(r,comple));
-    }
-    cuddRef(t);
-
-    if (!Cudd_IsConstant(Cnv)) {
-    e = cuddBddRestrictRecur(dd, Fnv, Cnv);
-    if (e == NULL) {
-        Cudd_IterDerefBdd(dd, t);
-        return(NULL);
-    }
-    } else if (Cnv == one) {
-    e = Fnv;
-    } else {        /* Cnv == zero: return (Fv @ Cv) previously computed */
-    cuddDeref(t);
-    return(Cudd_NotCond(t,comple));
-    }
-    cuddRef(e);
-
-    if (Cudd_IsComplement(t)) {
-    t = Cudd_Not(t);
-    e = Cudd_Not(e);
-    r = (t == e) ? t : cuddUniqueInter(dd, index, t, e);
-    if (r == NULL) {
-        Cudd_IterDerefBdd(dd, e);
-        Cudd_IterDerefBdd(dd, t);
-        return(NULL);
-    }
-    r = Cudd_Not(r);
-    } else {
-    r = (t == e) ? t : cuddUniqueInter(dd, index, t, e);
-    if (r == NULL) {
-        Cudd_IterDerefBdd(dd, e);
-        Cudd_IterDerefBdd(dd, t);
-        return(NULL);
-    }
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-
-    cuddCacheInsert2(dd, Cudd_bddRestrict, f, c, r);
-    return(Cudd_NotCond(r,comple));
-
-} /* end of cuddBddRestrictRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_addConstrain.]
-
-  Description [Performs the recursive step of Cudd_addConstrain.
-  Returns a pointer to the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addConstrain]
-
-******************************************************************************/
-DdNode *
-cuddAddConstrainRecur(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * c)
-{
-    DdNode       *Fv, *Fnv, *Cv, *Cnv, *t, *e, *r;
-    DdNode     *one, *zero;
-    unsigned int topf, topc;
-    int         index;
-
-    statLine(dd);
-    one = DD_ONE(dd);
-    zero = DD_ZERO(dd);
-
-    /* Trivial cases. */
-    if (c == one)        return(f);
-    if (c == zero)        return(zero);
-    if (Cudd_IsConstant(f))    return(f);
-    if (f == c)            return(one);
-
-    /* Now f and c are non-constant. */
-
-    /* Check the cache. */
-    r = cuddCacheLookup2(dd, Cudd_addConstrain, f, c);
-    if (r != NULL) {
-    return(r);
-    }
-    
-    /* Recursive step. */
-    topf = dd->perm[f->index];
-    topc = dd->perm[c->index];
-    if (topf <= topc) {
-    index = f->index;
-    Fv = cuddT(f); Fnv = cuddE(f);
-    } else {
-    index = c->index;
-    Fv = Fnv = f;
-    }
-    if (topc <= topf) {
-    Cv = cuddT(c); Cnv = cuddE(c);
-    } else {
-    Cv = Cnv = c;
-    }
-
-    if (!Cudd_IsConstant(Cv)) {
-    t = cuddAddConstrainRecur(dd, Fv, Cv);
-    if (t == NULL)
-        return(NULL);
-    } else if (Cv == one) {
-    t = Fv;
-    } else {        /* Cv == zero: return Fnv @ Cnv */
-    if (Cnv == one) {
-        r = Fnv;
-    } else {
-        r = cuddAddConstrainRecur(dd, Fnv, Cnv);
-        if (r == NULL)
-        return(NULL);
-    }
-    return(r);
-    }
-    cuddRef(t);
-
-    if (!Cudd_IsConstant(Cnv)) {
-    e = cuddAddConstrainRecur(dd, Fnv, Cnv);
-    if (e == NULL) {
-        Cudd_RecursiveDeref(dd, t);
-        return(NULL);
-    }
-    } else if (Cnv == one) {
-    e = Fnv;
-    } else {        /* Cnv == zero: return Fv @ Cv previously computed */
-    cuddDeref(t);
-    return(t);
-    }
-    cuddRef(e);
-
-    r = (t == e) ? t : cuddUniqueInter(dd, index, t, e);
-    if (r == NULL) {
-    Cudd_RecursiveDeref(dd, e);
-    Cudd_RecursiveDeref(dd, t);
-    return(NULL);
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-
-    cuddCacheInsert2(dd, Cudd_addConstrain, f, c, r);
-    return(r);
-
-} /* end of cuddAddConstrainRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_addRestrict.]
-
-  Description [Performs the recursive step of Cudd_addRestrict.
-  Returns the restricted ADD if successful; otherwise NULL.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addRestrict]
-
-******************************************************************************/
-DdNode *
-cuddAddRestrictRecur(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * c)
-{
-    DdNode     *Fv, *Fnv, *Cv, *Cnv, *t, *e, *r, *one, *zero;
-    unsigned int topf, topc;
-    int         index;
-
-    statLine(dd);
-    one = DD_ONE(dd);
-    zero = DD_ZERO(dd);
-
-    /* Trivial cases */
-    if (c == one)        return(f);
-    if (c == zero)        return(zero);
-    if (Cudd_IsConstant(f))    return(f);
-    if (f == c)            return(one);
-
-    /* Now f and c are non-constant. */
-
-    /* Check the cache. */
-    r = cuddCacheLookup2(dd, Cudd_addRestrict, f, c);
-    if (r != NULL) {
-    return(r);
-    }
-
-    topf = dd->perm[f->index];
-    topc = dd->perm[c->index];
-
-    if (topc < topf) {    /* abstract top variable from c */
-    DdNode *d, *s1, *s2;
-
-    /* Find cofactors of c. */
-    s1 = cuddT(c);
-    s2 = cuddE(c);
-    /* Take the OR by applying DeMorgan. */
-    d = cuddAddApplyRecur(dd, Cudd_addOr, s1, s2);
-    if (d == NULL) return(NULL);
-    cuddRef(d);
-    r = cuddAddRestrictRecur(dd, f, d);
-    if (r == NULL) {
-        Cudd_RecursiveDeref(dd, d);
-        return(NULL);
-    }
-    cuddRef(r);
-    Cudd_RecursiveDeref(dd, d);
-    cuddCacheInsert2(dd, Cudd_addRestrict, f, c, r);
-    cuddDeref(r);
-    return(r);
-    }
-
-    /* Recursive step. Here topf <= topc. */
-    index = f->index;
-    Fv = cuddT(f); Fnv = cuddE(f);
-    if (topc == topf) {
-    Cv = cuddT(c); Cnv = cuddE(c);
-    } else {
-    Cv = Cnv = c;
-    }
-
-    if (!Cudd_IsConstant(Cv)) {
-    t = cuddAddRestrictRecur(dd, Fv, Cv);
-    if (t == NULL) return(NULL);
-    } else if (Cv == one) {
-    t = Fv;
-    } else {        /* Cv == zero: return(Fnv @ Cnv) */
-    if (Cnv == one) {
-        r = Fnv;
-    } else {
-        r = cuddAddRestrictRecur(dd, Fnv, Cnv);
-        if (r == NULL) return(NULL);
-    }
-    return(r);
-    }
-    cuddRef(t);
-
-    if (!Cudd_IsConstant(Cnv)) {
-    e = cuddAddRestrictRecur(dd, Fnv, Cnv);
-    if (e == NULL) {
-        Cudd_RecursiveDeref(dd, t);
-        return(NULL);
-    }
-    } else if (Cnv == one) {
-    e = Fnv;
-    } else {        /* Cnv == zero: return (Fv @ Cv) previously computed */
-    cuddDeref(t);
-    return(t);
-    }
-    cuddRef(e);
-
-    r = (t == e) ? t : cuddUniqueInter(dd, index, t, e);
-    if (r == NULL) {
-    Cudd_RecursiveDeref(dd, e);
-    Cudd_RecursiveDeref(dd, t);
-    return(NULL);
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-
-    cuddCacheInsert2(dd, Cudd_addRestrict, f, c, r);
-    return(r);
-
-} /* end of cuddAddRestrictRecur */
-
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs safe minimization of a BDD.]
-
-  Description [Performs safe minimization of a BDD. Given the BDD
-  <code>f</code> of a function to be minimized and a BDD
-  <code>c</code> representing the care set, Cudd_bddLICompaction
-  produces the BDD of a function that agrees with <code>f</code>
-  wherever <code>c</code> is 1.  Safe minimization means that the size
-  of the result is guaranteed not to exceed the size of
-  <code>f</code>. This function is based on the DAC97 paper by Hong et
-  al..  Returns a pointer to the result if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddLICompaction]
-
-******************************************************************************/
-DdNode *
-cuddBddLICompaction(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be minimized */,
-  DdNode * c /* constraint (care set) */)
-{
-    st_table *marktable, *markcache, *buildcache;
-    DdNode *res, *zero;
-
-    zero = Cudd_Not(DD_ONE(dd));
-    if (c == zero) return(zero);
-
-    /* We need to use local caches for both steps of this operation.
-    ** The results of the edge marking step are only valid as long as the
-    ** edge markings themselves are available. However, the edge markings
-    ** are lost at the end of one invocation of Cudd_bddLICompaction.
-    ** Hence, the cache entries for the edge marking step must be
-    ** invalidated at the end of this function.
-    ** For the result of the building step we argue as follows. The result
-    ** for a node and a given constrain depends on the BDD in which the node
-    ** appears. Hence, the same node and constrain may give different results
-    ** in successive invocations.
-    */
-    marktable = st_init_table(st_ptrcmp,st_ptrhash);
-    if (marktable == NULL) {
-    return(NULL);
-    }
-    markcache = st_init_table(MarkCacheCompare,MarkCacheHash);
-    if (markcache == NULL) {
-    st_free_table(marktable);
-    return(NULL);
-    }
-    if (cuddBddLICMarkEdges(dd,f,c,marktable,markcache) == CUDD_OUT_OF_MEM) {
-    st_foreach(markcache, MarkCacheCleanUp, NULL);
-    st_free_table(marktable);
-    st_free_table(markcache);
-    return(NULL);
-    }
-    st_foreach(markcache, MarkCacheCleanUp, NULL);
-    st_free_table(markcache);
-    buildcache = st_init_table(st_ptrcmp,st_ptrhash);
-    if (buildcache == NULL) {
-    st_free_table(marktable);
-    return(NULL);
-    }
-    res = cuddBddLICBuildResult(dd,f,buildcache,marktable);
-    st_free_table(buildcache);
-    st_free_table(marktable);
-    return(res);
-
-} /* end of cuddBddLICompaction */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_bddConstrainDecomp.]
-
-  Description [Performs the recursive step of Cudd_bddConstrainDecomp.
-  Returns f super (i) if successful; otherwise NULL.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddConstrainDecomp]
-
-******************************************************************************/
-static int
-cuddBddConstrainDecomp(
-  DdManager * dd,
-  DdNode * f,
-  DdNode ** decomp)
-{
-    DdNode *F, *fv, *fvn;
-    DdNode *fAbs;
-    DdNode *result;
-    int ok;
-
-    if (Cudd_IsConstant(f)) return(1);
-    /* Compute complements of cofactors. */
-    F = Cudd_Regular(f);
-    fv = cuddT(F);
-    fvn = cuddE(F);
-    if (F == f) {
-    fv = Cudd_Not(fv);
-    fvn = Cudd_Not(fvn);
-    }
-    /* Compute abstraction of top variable. */
-    fAbs = cuddBddAndRecur(dd, fv, fvn);
-    if (fAbs == NULL) {
-    return(0);
-    }
-    cuddRef(fAbs);
-    fAbs = Cudd_Not(fAbs);
-    /* Recursively find the next abstraction and the components of the
-    ** decomposition. */
-    ok = cuddBddConstrainDecomp(dd, fAbs, decomp);
-    if (ok == 0) {
-    Cudd_IterDerefBdd(dd,fAbs);
-    return(0);
-    }
-    /* Compute the component of the decomposition corresponding to the
-    ** top variable and store it in the decomposition array. */
-    result = cuddBddConstrainRecur(dd, f, fAbs);
-    if (result == NULL) {
-    Cudd_IterDerefBdd(dd,fAbs);
-    return(0);
-    }
-    cuddRef(result);
-    decomp[F->index] = result;
-    Cudd_IterDerefBdd(dd, fAbs);
-    return(1);
-
-} /* end of cuddBddConstrainDecomp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_bddCharToVect.]
-
-  Description [Performs the recursive step of Cudd_bddCharToVect.
-  This function maintains the invariant that f is non-zero.
-  Returns the i-th component of the vector if successful; otherwise NULL.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddCharToVect]
-
-******************************************************************************/
-static DdNode *
-cuddBddCharToVect(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * x)
-{
-    unsigned int topf;
-    unsigned int level;
-    int comple;
-
-    DdNode *one, *zero, *res, *F, *fT, *fE, *T, *E;
-
-    statLine(dd);
-    /* Check the cache. */
-    res = cuddCacheLookup2(dd, cuddBddCharToVect, f, x);
-    if (res != NULL) {
-    return(res);
-    }
-
-    F = Cudd_Regular(f);
-
-    topf = cuddI(dd,F->index);
-    level = dd->perm[x->index];
-
-    if (topf > level) return(x);
-
-    one = DD_ONE(dd);
-    zero = Cudd_Not(one);
-
-    comple = F != f;
-    fT = Cudd_NotCond(cuddT(F),comple);
-    fE = Cudd_NotCond(cuddE(F),comple);
-
-    if (topf == level) {
-    if (fT == zero) return(zero);
-    if (fE == zero) return(one);
-    return(x);
-    }
-
-    /* Here topf < level. */
-    if (fT == zero) return(cuddBddCharToVect(dd, fE, x));
-    if (fE == zero) return(cuddBddCharToVect(dd, fT, x));
-
-    T = cuddBddCharToVect(dd, fT, x);
-    if (T == NULL) {
-    return(NULL);
-    }
-    cuddRef(T);
-    E = cuddBddCharToVect(dd, fE, x);
-    if (E == NULL) {
-    Cudd_IterDerefBdd(dd,T);
-    return(NULL);
-    }
-    cuddRef(E);
-    res = cuddBddIteRecur(dd, dd->vars[F->index], T, E);
-    if (res == NULL) {
-    Cudd_IterDerefBdd(dd,T);
-    Cudd_IterDerefBdd(dd,E);
-    return(NULL);
-    }
-    cuddDeref(T);
-    cuddDeref(E);
-    cuddCacheInsert2(dd, cuddBddCharToVect, f, x, res);
-    return(res);
-
-} /* end of cuddBddCharToVect */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the edge marking step of Cudd_bddLICompaction.]
-
-  Description [Performs the edge marking step of Cudd_bddLICompaction.
-  Returns the LUB of the markings of the two outgoing edges of <code>f</code>
-  if successful; otherwise CUDD_OUT_OF_MEM.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddLICompaction cuddBddLICBuildResult]
-
-******************************************************************************/
-static int
-cuddBddLICMarkEdges(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * c,
-  st_table * table,
-  st_table * cache)
-{
-    DdNode *Fv, *Fnv, *Cv, *Cnv;
-    DdNode *one, *zero;
-    unsigned int topf, topc;
-    int    index;
-    int comple;
-    int resT, resE, res, retval;
-    char **slot;
-    MarkCacheKey *key;
-
-    one = DD_ONE(dd);
-    zero = Cudd_Not(one);
-
-    /* Terminal cases. */
-    if (c == zero) return(DD_LIC_DC);
-    if (f == one)  return(DD_LIC_1);
-    if (f == zero) return(DD_LIC_0);
-
-    /* Make canonical to increase the utilization of the cache. */
-    comple = Cudd_IsComplement(f);
-    f = Cudd_Regular(f);
-    /* Now f is a regular pointer to a non-constant node; c may be
-    ** constant, or it may be complemented.
-    */
-
-    /* Check the cache. */
-    key = ALLOC(MarkCacheKey, 1);
-    if (key == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(CUDD_OUT_OF_MEM);
-    }
-    key->f = f; key->c = c;
-    if (st_lookup(cache, (char *)key, (char **)&res)) {
-    FREE(key);
-    if (comple) {
-        if (res == DD_LIC_0) res = DD_LIC_1;
-        else if (res == DD_LIC_1) res = DD_LIC_0;
-    }
-    return(res);
-    }
-
-    /* Recursive step. */
-    topf = dd->perm[f->index];
-    topc = cuddI(dd,Cudd_Regular(c)->index);
-    if (topf <= topc) {
-    index = f->index;
-    Fv = cuddT(f); Fnv = cuddE(f);
-    } else {
-    index = Cudd_Regular(c)->index;
-    Fv = Fnv = f;
-    }
-    if (topc <= topf) {
-    /* We know that c is not constant because f is not. */
-    Cv = cuddT(Cudd_Regular(c)); Cnv = cuddE(Cudd_Regular(c));
-    if (Cudd_IsComplement(c)) {
-        Cv = Cudd_Not(Cv);
-        Cnv = Cudd_Not(Cnv);
-    }
-    } else {
-    Cv = Cnv = c;
-    }
-
-    resT = cuddBddLICMarkEdges(dd, Fv, Cv, table, cache);
-    if (resT == CUDD_OUT_OF_MEM) {
-    FREE(key);
-    return(CUDD_OUT_OF_MEM);
-    }
-    resE = cuddBddLICMarkEdges(dd, Fnv, Cnv, table, cache);
-    if (resE == CUDD_OUT_OF_MEM) {
-    FREE(key);
-    return(CUDD_OUT_OF_MEM);
-    }
-
-    /* Update edge markings. */
-    if (topf <= topc) {
-    retval = st_find_or_add(table, (char *)f, (char ***)&slot);
-    if (retval == 0) {
-        *slot = (char *) (ptrint)((resT << 2) | resE);
-    } else if (retval == 1) {
-        *slot = (char *) (ptrint)((int)((ptrint) *slot) | (resT << 2) | resE);
-    } else {
-        FREE(key);
-        return(CUDD_OUT_OF_MEM);
-    }
-    }
-
-    /* Cache result. */
-    res = resT | resE;
-    if (st_insert(cache, (char *)key, (char *)(ptrint)res) == ST_OUT_OF_MEM) {
-    FREE(key);
-    return(CUDD_OUT_OF_MEM);
-    }
-
-    /* Take into account possible complementation. */
-    if (comple) {
-    if (res == DD_LIC_0) res = DD_LIC_1;
-    else if (res == DD_LIC_1) res = DD_LIC_0;
-    }
-    return(res);
-
-} /* end of cuddBddLICMarkEdges */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Builds the result of Cudd_bddLICompaction.]
-
-  Description [Builds the results of Cudd_bddLICompaction.
-  Returns a pointer to the minimized BDD if successful; otherwise NULL.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddLICompaction cuddBddLICMarkEdges]
-
-******************************************************************************/
-static DdNode *
-cuddBddLICBuildResult(
-  DdManager * dd,
-  DdNode * f,
-  st_table * cache,
-  st_table * table)
-{
-    DdNode *Fv, *Fnv, *r, *t, *e;
-    DdNode *one, *zero;
-    unsigned int topf;
-    int    index;
-    int comple;
-    int markT, markE, markings;
-
-    one = DD_ONE(dd);
-    zero = Cudd_Not(one);
-
-    if (Cudd_IsConstant(f)) return(f);
-    /* Make canonical to increase the utilization of the cache. */
-    comple = Cudd_IsComplement(f);
-    f = Cudd_Regular(f);
-
-    /* Check the cache. */
-    if (st_lookup(cache, (char *)f, (char **)&r)) {
-    return(Cudd_NotCond(r,comple));
-    }
-
-    /* Retrieve the edge markings. */
-    if (st_lookup(table, (char *)f, (char **)&markings) == 0)
-    return(NULL);
-    markT = markings >> 2;
-    markE = markings & 3;
-
-    topf = dd->perm[f->index];
-    index = f->index;
-    Fv = cuddT(f); Fnv = cuddE(f);
-
-    if (markT == DD_LIC_NL) {
-    t = cuddBddLICBuildResult(dd,Fv,cache,table);
-    if (t == NULL) {
-        return(NULL);
-    }
-    } else if (markT == DD_LIC_1) {
-    t = one;
-    } else {
-    t = zero;
-    }
-    cuddRef(t);
-    if (markE == DD_LIC_NL) {
-    e = cuddBddLICBuildResult(dd,Fnv,cache,table);
-    if (e == NULL) {
-        Cudd_IterDerefBdd(dd,t);
-        return(NULL);
-    }
-    } else if (markE == DD_LIC_1) {
-    e = one;
-    } else {
-    e = zero;
-    }
-    cuddRef(e);
-
-    if (markT == DD_LIC_DC && markE != DD_LIC_DC) {
-    r = e;
-    } else if (markT != DD_LIC_DC && markE == DD_LIC_DC) {
-    r = t;
-    } else {
-    if (Cudd_IsComplement(t)) {
-        t = Cudd_Not(t);
-        e = Cudd_Not(e);
-        r = (t == e) ? t : cuddUniqueInter(dd, index, t, e);
-        if (r == NULL) {
-        Cudd_IterDerefBdd(dd, e);
-        Cudd_IterDerefBdd(dd, t);
-        return(NULL);
-        }
-        r = Cudd_Not(r);
-    } else {
-        r = (t == e) ? t : cuddUniqueInter(dd, index, t, e);
-        if (r == NULL) {
-        Cudd_IterDerefBdd(dd, e);
-        Cudd_IterDerefBdd(dd, t);
-        return(NULL);
-        }
-    }
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-
-    if (st_insert(cache, (char *)f, (char *)r) == ST_OUT_OF_MEM) {
-    cuddRef(r);
-    Cudd_IterDerefBdd(dd,r);
-    return(NULL);
-    }
-
-    return(Cudd_NotCond(r,comple));
-
-} /* end of cuddBddLICBuildResult */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Hash function for the computed table of cuddBddLICMarkEdges.]
-
-  Description [Hash function for the computed table of
-  cuddBddLICMarkEdges.  Returns the bucket number.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddLICompaction]
-
-******************************************************************************/
-static int
-MarkCacheHash(
-  char * ptr,
-  int  modulus)
-{
-    int val = 0;
-    MarkCacheKey *entry;
-
-    entry = (MarkCacheKey *) ptr;
-
-    val = (int) (ptrint) entry->f;
-    val = val * 997 + (int) (ptrint) entry->c;
-
-    return ((val < 0) ? -val : val) % modulus;
-
-} /* end of MarkCacheHash */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Comparison function for the computed table of
-  cuddBddLICMarkEdges.]
-
-  Description [Comparison function for the computed table of
-  cuddBddLICMarkEdges. Returns 0 if the two nodes of the key are equal; 1
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddLICompaction]
-
-******************************************************************************/
-static int
-MarkCacheCompare(
-  const char * ptr1,
-  const char * ptr2)
-{
-    MarkCacheKey *entry1, *entry2;
-
-    entry1 = (MarkCacheKey *) ptr1;
-    entry2 = (MarkCacheKey *) ptr2;
-    
-    return((entry1->f != entry2->f) || (entry1->c != entry2->c));
-
-} /* end of MarkCacheCompare */
-
-
-
-/**Function********************************************************************
-
-  Synopsis    [Frees memory associated with computed table of
-  cuddBddLICMarkEdges.]
-
-  Description [Frees memory associated with computed table of
-  cuddBddLICMarkEdges. Returns ST_CONTINUE.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddLICompaction]
-
-******************************************************************************/
-static enum st_retval
-MarkCacheCleanUp(
-  char * key,
-  char * value,
-  char * arg)
-{
-    MarkCacheKey *entry;
-
-    entry = (MarkCacheKey *) key;
-    FREE(entry);
-    return ST_CONTINUE;
-
-} /* end of MarkCacheCleanUp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_bddSqueeze.]
-
-  Description [Performs the recursive step of Cudd_bddSqueeze.  This
-  procedure exploits the fact that if we complement and swap the
-  bounds of the interval we obtain a valid solution by taking the
-  complement of the solution to the original problem. Therefore, we
-  can enforce the condition that the upper bound is always regular.
-  Returns a pointer to the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddSqueeze]
-
-******************************************************************************/
-static DdNode *
-cuddBddSqueeze(
-  DdManager * dd,
-  DdNode * l,
-  DdNode * u)
-{
-    DdNode *one, *zero, *r, *lt, *le, *ut, *ue, *t, *e;
-#if 0
-    DdNode *ar;
-#endif
-    int comple = 0;
-    unsigned int topu, topl;
-    int index;
-
-    statLine(dd);
-    if (l == u) {
-    return(l);
-    }
-    one = DD_ONE(dd);
-    zero = Cudd_Not(one);
-    /* The only case when l == zero && u == one is at the top level,
-    ** where returning either one or zero is OK. In all other cases
-    ** the procedure will detect such a case and will perform
-    ** remapping. Therefore the order in which we test l and u at this
-    ** point is immaterial. */
-    if (l == zero) return(l);
-    if (u == one)  return(u);
-
-    /* Make canonical to increase the utilization of the cache. */
-    if (Cudd_IsComplement(u)) {
-    DdNode *temp;
-    temp = Cudd_Not(l);
-    l = Cudd_Not(u);
-    u = temp;
-    comple = 1;
-    }
-    /* At this point u is regular and non-constant; l is non-constant, but
-    ** may be complemented. */
-
-    /* Here we could check the relative sizes. */
-
-    /* Check the cache. */
-    r = cuddCacheLookup2(dd, Cudd_bddSqueeze, l, u);
-    if (r != NULL) {
-    return(Cudd_NotCond(r,comple));
-    }
-
-    /* Recursive step. */
-    topu = dd->perm[u->index];
-    topl = dd->perm[Cudd_Regular(l)->index];
-    if (topu <= topl) {
-    index = u->index;
-    ut = cuddT(u); ue = cuddE(u);
-    } else {
-    index = Cudd_Regular(l)->index;
-    ut = ue = u;
-    }
-    if (topl <= topu) {
-    lt = cuddT(Cudd_Regular(l)); le = cuddE(Cudd_Regular(l));
-    if (Cudd_IsComplement(l)) {
-        lt = Cudd_Not(lt);
-        le = Cudd_Not(le);
-    }
-    } else {
-    lt = le = l;
-    }
-
-    /* If one interval is contained in the other, use the smaller
-    ** interval. This corresponds to one-sided matching. */
-    if ((lt == zero || Cudd_bddLeq(dd,lt,le)) &&
-    (ut == one  || Cudd_bddLeq(dd,ue,ut))) { /* remap */
-    r = cuddBddSqueeze(dd, le, ue);
-    if (r == NULL)
-        return(NULL);
-    return(Cudd_NotCond(r,comple));
-    } else if ((le == zero || Cudd_bddLeq(dd,le,lt)) &&
-           (ue == one  || Cudd_bddLeq(dd,ut,ue))) { /* remap */
-    r = cuddBddSqueeze(dd, lt, ut);
-    if (r == NULL)
-        return(NULL);
-    return(Cudd_NotCond(r,comple));
-    } else if ((le == zero || Cudd_bddLeq(dd,le,Cudd_Not(ut))) &&
-           (ue == one  || Cudd_bddLeq(dd,Cudd_Not(lt),ue))) { /* c-remap */
-    t = cuddBddSqueeze(dd, lt, ut);
-    cuddRef(t);
-    if (Cudd_IsComplement(t)) {
-        r = cuddUniqueInter(dd, index, Cudd_Not(t), t);
-        if (r == NULL) {
-        Cudd_IterDerefBdd(dd, t);
-        return(NULL);
-        }
-        r = Cudd_Not(r);
-    } else {
-        r = cuddUniqueInter(dd, index, t, Cudd_Not(t));
-        if (r == NULL) {
-        Cudd_IterDerefBdd(dd, t);
-        return(NULL);
-        }
-    }
-    cuddDeref(t);
-    if (r == NULL)
-        return(NULL);
-    cuddCacheInsert2(dd, Cudd_bddSqueeze, l, u, r);
-    return(Cudd_NotCond(r,comple));
-    } else if ((lt == zero || Cudd_bddLeq(dd,lt,Cudd_Not(ue))) &&
-           (ut == one  || Cudd_bddLeq(dd,Cudd_Not(le),ut))) { /* c-remap */
-    e = cuddBddSqueeze(dd, le, ue);
-    cuddRef(e);
-    if (Cudd_IsComplement(e)) {
-        r = cuddUniqueInter(dd, index, Cudd_Not(e), e);
-        if (r == NULL) {
-        Cudd_IterDerefBdd(dd, e);
-        return(NULL);
-        }
-    } else {
-        r = cuddUniqueInter(dd, index, e, Cudd_Not(e));
-        if (r == NULL) {
-        Cudd_IterDerefBdd(dd, e);
-        return(NULL);
-        }
-        r = Cudd_Not(r);
-    }
-    cuddDeref(e);
-    if (r == NULL)
-        return(NULL);
-    cuddCacheInsert2(dd, Cudd_bddSqueeze, l, u, r);
-    return(Cudd_NotCond(r,comple));
-    }
-
-#if 0
-    /* If the two intervals intersect, take a solution from
-    ** the intersection of the intervals. This guarantees that the
-    ** splitting variable will not appear in the result.
-    ** This approach corresponds to two-sided matching, and is very
-    ** expensive. */
-    if (Cudd_bddLeq(dd,lt,ue) && Cudd_bddLeq(dd,le,ut)) {
-    DdNode *au, *al;
-    au = cuddBddAndRecur(dd,ut,ue);
-    if (au == NULL)
-        return(NULL);
-    cuddRef(au);
-    al = cuddBddAndRecur(dd,Cudd_Not(lt),Cudd_Not(le));
-    if (al == NULL) {
-        Cudd_IterDerefBdd(dd,au);
-        return(NULL);
-    }
-    cuddRef(al);
-    al = Cudd_Not(al);
-    ar = cuddBddSqueeze(dd, al, au);
-    if (ar == NULL) {
-        Cudd_IterDerefBdd(dd,au);
-        Cudd_IterDerefBdd(dd,al);
-        return(NULL);
-    }
-    cuddRef(ar);
-    Cudd_IterDerefBdd(dd,au);
-    Cudd_IterDerefBdd(dd,al);
-    } else {
-    ar = NULL;
-    }
-#endif
-
-    t = cuddBddSqueeze(dd, lt, ut);
-    if (t == NULL) {
-    return(NULL);
-    }
-    cuddRef(t);
-    e = cuddBddSqueeze(dd, le, ue);
-    if (e == NULL) {
-    Cudd_IterDerefBdd(dd,t);
-    return(NULL);
-    }
-    cuddRef(e);
-
-    if (Cudd_IsComplement(t)) {
-    t = Cudd_Not(t);
-    e = Cudd_Not(e);
-    r = (t == e) ? t : cuddUniqueInter(dd, index, t, e);
-    if (r == NULL) {
-        Cudd_IterDerefBdd(dd, e);
-        Cudd_IterDerefBdd(dd, t);
-        return(NULL);
-    }
-    r = Cudd_Not(r);
-    } else {
-    r = (t == e) ? t : cuddUniqueInter(dd, index, t, e);
-    if (r == NULL) {
-        Cudd_IterDerefBdd(dd, e);
-        Cudd_IterDerefBdd(dd, t);
-        return(NULL);
-    }
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-
-#if 0
-    /* Check whether there is a result obtained by abstraction and whether
-    ** it is better than the one obtained by recursion. */
-    cuddRef(r);
-    if (ar != NULL) {
-    if (Cudd_DagSize(ar) <= Cudd_DagSize(r)) {
-        Cudd_IterDerefBdd(dd, r);
-        r = ar;
-    } else {
-        Cudd_IterDerefBdd(dd, ar);
-    }
-    }
-    cuddDeref(r);
-#endif
-
-    cuddCacheInsert2(dd, Cudd_bddSqueeze, l, u, r);
-    return(Cudd_NotCond(r,comple));
-
-} /* end of cuddBddSqueeze */
diff --git a/src/bdd/cudd/cuddGenetic.c b/src/bdd/cudd/cuddGenetic.c
deleted file mode 100644
index 9fe03dad..00000000
--- a/src/bdd/cudd/cuddGenetic.c
+++ /dev/null
@@ -1,921 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddGenetic.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Genetic algorithm for variable reordering.]
-
-  Description [Internal procedures included in this file:
-        <ul>
-        <li> cuddGa()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> make_random()
-        <li> sift_up()
-        <li> build_dd()
-        <li> largest()
-        <li> rand_int()
-        <li> array_hash()
-        <li> array_compare()
-        <li> find_best()
-        <li> find_average_fitness()
-        <li> PMX()
-        <li> roulette()
-        </ul>
-
-  The genetic algorithm implemented here is as follows.  We start with
-  the current DD order.  We sift this order and use this as the
-  reference DD.  We only keep 1 DD around for the entire process and
-  simply rearrange the order of this DD, storing the various orders
-  and their corresponding DD sizes.  We generate more random orders to
-  build an initial population. This initial population is 3 times the
-  number of variables, with a maximum of 120. Each random order is
-  built (from the reference DD) and its size stored.  Each random
-  order is also sifted to keep the DD sizes fairly small.  Then a
-  crossover is performed between two orders (picked randomly) and the
-  two resulting DDs are built and sifted.  For each new order, if its
-  size is smaller than any DD in the population, it is inserted into
-  the population and the DD with the largest number of nodes is thrown
-  out. The crossover process happens up to 50 times, and at this point
-  the DD in the population with the smallest size is chosen as the
-  result.  This DD must then be built from the reference DD.]
-
-  SeeAlso     []
-
-  Author      [Curt Musfeldt, Alan Shuler, Fabio Somenzi]
-
-  Copyright [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddGenetic.c,v 1.1.1.1 2003/02/24 22:23:52 wjiang Exp $";
-#endif
-
-static int popsize;        /* the size of the population */
-static int numvars;        /* the number of input variables in the ckt. */
-/* storedd stores the population orders and sizes. This table has two
-** extra rows and one extras column. The two extra rows are used for the
-** offspring produced by a crossover. Each row stores one order and its
-** size. The order is stored by storing the indices of variables in the
-** order in which they appear in the order. The table is in reality a
-** one-dimensional array which is accessed via a macro to give the illusion
-** it is a two-dimensional structure.
-*/
-static int *storedd;
-static st_table *computed;    /* hash table to identify existing orders */
-static int *repeat;        /* how many times an order is present */
-static int large;        /* stores the index of the population with
-                ** the largest number of nodes in the DD */
-static int result;
-static int cross;        /* the number of crossovers to perform */
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-/* macro used to access the population table as if it were a
-** two-dimensional structure.
-*/
-#define STOREDD(i,j)    storedd[(i)*(numvars+1)+(j)]
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int make_random ARGS((DdManager *table, int lower));
-static int sift_up ARGS((DdManager *table, int x, int x_low));
-static int build_dd ARGS((DdManager *table, int num, int lower, int upper));
-static int largest ARGS(());
-static int rand_int ARGS((int a));
-static int array_hash ARGS((char *array, int modulus));
-static int array_compare ARGS((const char *array1, const char *array2));
-static int find_best ARGS(());
-static double find_average_fitness ARGS(());
-static int PMX ARGS((int maxvar));
-static int roulette ARGS((int *p1, int *p2));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Genetic algorithm for DD reordering.]
-
-  Description [Genetic algorithm for DD reordering.
-  The two children of a crossover will be stored in
-  storedd[popsize] and storedd[popsize+1] --- the last two slots in the
-  storedd array.  (This will make comparisons and replacement easy.)
-  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddGa(
-  DdManager * table /* manager */,
-  int  lower /* lowest level to be reordered */,
-  int  upper /* highest level to be reorderded */)
-{
-    int     i,n,m;        /* dummy/loop vars */
-    int        index;
-    double    average_fitness;
-    int        small;        /* index of smallest DD in population */
-
-    /* Do an initial sifting to produce at least one reasonable individual. */
-    if (!cuddSifting(table,lower,upper)) return(0);
-
-    /* Get the initial values. */
-    numvars = upper - lower + 1; /* number of variables to be reordered */
-    if (table->populationSize == 0) {
-    popsize = 3 * numvars;  /* population size is 3 times # of vars */
-    if (popsize > 120) {
-        popsize = 120;    /* Maximum population size is 120 */
-    }
-    } else {
-    popsize = table->populationSize;  /* user specified value */
-    }
-    if (popsize < 4) popsize = 4;    /* enforce minimum population size */
-
-    /* Allocate population table. */
-    storedd = ALLOC(int,(popsize+2)*(numvars+1));
-    if (storedd == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-
-    /* Initialize the computed table. This table is made up of two data
-    ** structures: A hash table with the key given by the order, which says
-    ** if a given order is present in the population; and the repeat
-    ** vector, which says how many copies of a given order are stored in
-    ** the population table. If there are multiple copies of an order, only
-    ** one has a repeat count greater than 1. This copy is the one pointed
-    ** by the computed table.
-    */
-    repeat = ALLOC(int,popsize);
-    if (repeat == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    FREE(storedd);
-    return(0);
-    }
-    for (i = 0; i < popsize; i++) {
-    repeat[i] = 0;
-    }
-    computed = st_init_table(array_compare,array_hash);
-    if (computed == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    FREE(storedd);
-    FREE(repeat);
-    return(0);
-    }
-
-    /* Copy the current DD and its size to the population table. */
-    for (i = 0; i < numvars; i++) {
-    STOREDD(0,i) = table->invperm[i+lower]; /* order of initial DD */
-    }
-    STOREDD(0,numvars) = table->keys - table->isolated; /* size of initial DD */
-
-    /* Store the initial order in the computed table. */
-    if (st_insert(computed,(char *)storedd,(char *) 0) == ST_OUT_OF_MEM) {
-    FREE(storedd);
-    FREE(repeat);
-    st_free_table(computed);
-    return(0);
-    }
-    repeat[0]++;
-
-    /* Insert the reverse order as second element of the population. */
-    for (i = 0; i < numvars; i++) {
-    STOREDD(1,numvars-1-i) = table->invperm[i+lower]; /* reverse order */
-    }
-
-    /* Now create the random orders. make_random fills the population
-    ** table with random permutations. The successive loop builds and sifts
-    ** the DDs for the reverse order and each random permutation, and stores
-    ** the results in the computed table.
-    */
-    if (!make_random(table,lower)) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    FREE(storedd);
-    FREE(repeat);
-    st_free_table(computed);
-    return(0);
-    }
-    for (i = 1; i < popsize; i++) {
-    result = build_dd(table,i,lower,upper);    /* build and sift order */
-    if (!result) {
-        FREE(storedd);
-        FREE(repeat);
-        st_free_table(computed);
-        return(0);
-    }
-    if (st_lookup(computed,(char *)&STOREDD(i,0),(char **)&index)) {
-        repeat[index]++;
-    } else {
-        if (st_insert(computed,(char *)&STOREDD(i,0),(char *)(long)i) ==
-        ST_OUT_OF_MEM) {
-        FREE(storedd);
-        FREE(repeat);
-        st_free_table(computed);
-        return(0);
-        }
-        repeat[i]++;
-    }
-    }
-
-#if 0
-#ifdef DD_STATS
-    /* Print the initial population. */
-    (void) fprintf(table->out,"Initial population after sifting\n");
-    for (m = 0; m < popsize; m++) {
-    for (i = 0; i < numvars; i++) {
-        (void) fprintf(table->out," %2d",STOREDD(m,i));
-    }
-    (void) fprintf(table->out," : %3d (%d)\n",
-               STOREDD(m,numvars),repeat[m]);
-    }
-#endif
-#endif
-
-    small = find_best();
-    average_fitness = find_average_fitness();
-#ifdef DD_STATS
-    (void) fprintf(table->out,"\nInitial population: best fitness = %d, average fitness %8.3f",STOREDD(small,numvars),average_fitness);
-#endif
-
-    /* Decide how many crossovers should be tried. */
-    if (table->numberXovers == 0) {
-    cross = 3*numvars;
-    if (cross > 60) {    /* do a maximum of 50 crossovers */
-        cross = 60;
-    }
-    } else {
-    cross = table->numberXovers;      /* use user specified value */
-    }
-
-    /* Perform the crossovers to get the best order. */
-    for (m = 0; m < cross; m++) {
-    if (!PMX(table->size)) {    /* perform one crossover */
-        table->errorCode = CUDD_MEMORY_OUT;
-        FREE(storedd);
-        FREE(repeat);
-        st_free_table(computed);
-        return(0);
-    }
-    /* The offsprings are left in the last two entries of the
-    ** population table. These are now considered in turn.
-    */
-    for (i = popsize; i <= popsize+1; i++) {
-        result = build_dd(table,i,lower,upper); /* build and sift child */
-        if (!result) {
-        FREE(storedd);
-        FREE(repeat);
-        st_free_table(computed);
-        return(0);
-        }
-        large = largest();    /* find the largest DD in population */
-
-        /* If the new child is smaller than the largest DD in the current
-        ** population, enter it into the population in place of the
-        ** largest DD.
-        */
-        if (STOREDD(i,numvars) < STOREDD(large,numvars)) {
-        /* Look up the largest DD in the computed table.
-        ** Decrease its repetition count. If the repetition count
-        ** goes to 0, remove the largest DD from the computed table.
-        */
-        result = st_lookup(computed,(char *)&STOREDD(large,0),(char
-        **)&index);
-        if (!result) {
-            FREE(storedd);
-            FREE(repeat);
-            st_free_table(computed);
-            return(0);
-        }
-        repeat[index]--;
-        if (repeat[index] == 0) {
-            int *pointer = &STOREDD(index,0);
-            result = st_delete(computed, (char **)&pointer,NULL);
-            if (!result) {
-            FREE(storedd);
-            FREE(repeat);
-            st_free_table(computed);
-            return(0);
-            }
-        }
-        /* Copy the new individual to the entry of the
-        ** population table just made available and update the
-        ** computed table.
-        */
-        for (n = 0; n <= numvars; n++) {
-            STOREDD(large,n) = STOREDD(i,n);
-        }
-        if (st_lookup(computed,(char *)&STOREDD(large,0),(char
-        **)&index)) {
-            repeat[index]++;
-        } else {
-            if (st_insert(computed,(char *)&STOREDD(large,0),
-            (char *)(long)large) == ST_OUT_OF_MEM) {
-            FREE(storedd);
-            FREE(repeat);
-            st_free_table(computed);
-            return(0);
-            }
-            repeat[large]++;
-        }
-        }
-    }
-    }
-
-    /* Find the smallest DD in the population and build it;
-    ** that will be the result.
-    */
-    small = find_best();
-
-    /* Print stats on the final population. */
-#ifdef DD_STATS
-    average_fitness = find_average_fitness();
-    (void) fprintf(table->out,"\nFinal population: best fitness = %d, average fitness %8.3f",STOREDD(small,numvars),average_fitness);
-#endif
-
-    /* Clean up, build the result DD, and return. */
-    st_free_table(computed);
-    computed = NULL;
-    result = build_dd(table,small,lower,upper);
-    FREE(storedd);
-    FREE(repeat);
-    return(result);
-
-} /* end of cuddGa */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis    [Generates the random sequences for the initial population.]
-
-  Description [Generates the random sequences for the initial population.
-  The sequences are permutations of the indices between lower and
-  upper in the current order.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-make_random(
-  DdManager * table,
-  int  lower)
-{
-    int i,j;        /* loop variables */
-    int    *used;        /* is a number already in a permutation */
-    int    next;        /* next random number without repetitions */
-
-    used = ALLOC(int,numvars);
-    if (used == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-#if 0
-#ifdef DD_STATS
-    (void) fprintf(table->out,"Initial population before sifting\n");
-    for (i = 0; i < 2; i++) {
-    for (j = 0; j < numvars; j++) {
-        (void) fprintf(table->out," %2d",STOREDD(i,j));
-    }
-    (void) fprintf(table->out,"\n");
-    }
-#endif
-#endif
-    for (i = 2; i < popsize; i++) {
-           for (j = 0; j < numvars; j++) {
-        used[j] = 0;
-    }
-    /* Generate a permutation of {0...numvars-1} and use it to
-    ** permute the variables in the layesr from lower to upper.
-    */
-           for (j = 0; j < numvars; j++) {
-        do {
-        next = rand_int(numvars-1);
-        } while (used[next] != 0);
-        used[next] = 1;
-        STOREDD(i,j) = table->invperm[next+lower];
-           }
-#if 0
-#ifdef DD_STATS
-    /* Print the order just generated. */
-    for (j = 0; j < numvars; j++) {
-        (void) fprintf(table->out," %2d",STOREDD(i,j));
-    }
-    (void) fprintf(table->out,"\n");
-#endif
-#endif
-    }
-    FREE(used);
-    return(1);
-
-} /* end of make_random */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Moves one variable up.]
-
-  Description [Takes a variable from position x and sifts it up to
-  position x_low;  x_low should be less than x. Returns 1 if successful;
-  0 otherwise]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-sift_up(
-  DdManager * table,
-  int  x,
-  int  x_low)
-{
-    int        y;
-    int        size;
-
-    y = cuddNextLow(table,x);
-    while (y >= x_low) {
-    size = cuddSwapInPlace(table,y,x);
-    if (size == 0) {
-        return(0);
-    }
-    x = y;
-    y = cuddNextLow(table,x);
-    }
-    return(1);
-
-} /* end of sift_up */
-
-
-/**Function********************************************************************
-
-  Synopsis [Builds a DD from a given order.]
-
-  Description [Builds a DD from a given order.  This procedure also
-  sifts the final order and inserts into the array the size in nodes
-  of the result. Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-build_dd(
-  DdManager * table,
-  int  num /* the index of the individual to be built */,
-  int  lower,
-  int  upper)
-{
-    int     i,j;        /* loop vars */
-    int     position;
-    int        index;
-    int        limit;        /* how large the DD for this order can grow */
-    int        size;
-
-    /* Check the computed table. If the order already exists, it
-    ** suffices to copy the size from the existing entry.
-    */
-    if (computed && st_lookup(computed,(char *)&STOREDD(num,0),(char **)&index)) {
-    STOREDD(num,numvars) = STOREDD(index,numvars);
-#ifdef DD_STATS
-    (void) fprintf(table->out,"\nCache hit for index %d", index);
-#endif
-    return(1);
-    }
-
-    /* Stop if the DD grows 20 times larges than the reference size. */
-    limit = 20 * STOREDD(0,numvars);
-
-    /* Sift up the variables so as to build the desired permutation.
-    ** First the variable that has to be on top is sifted to the top.
-    ** Then the variable that has to occupy the secon position is sifted
-    ** up to the second position, and so on.
-    */
-    for (j = 0; j < numvars; j++) {
-    i = STOREDD(num,j);
-    position = table->perm[i];
-    result = sift_up(table,position,j+lower);
-    if (!result) return(0);
-    size = table->keys - table->isolated;
-    if (size > limit) break;
-    }
-
-    /* Sift the DD just built. */
-#ifdef DD_STATS
-    (void) fprintf(table->out,"\n");
-#endif
-    result = cuddSifting(table,lower,upper);
-    if (!result) return(0);
-
-    /* Copy order and size to table. */
-    for (j = 0; j < numvars; j++) {
-    STOREDD(num,j) = table->invperm[lower+j];
-    }
-    STOREDD(num,numvars) = table->keys - table->isolated; /* size of new DD */
-    return(1);
-
-} /* end of build_dd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the largest DD in the population.]
-
-  Description [Finds the largest DD in the population. If an order is
-  repeated, it avoids choosing the copy that is in the computed table
-  (it has repeat[i] > 1).]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-largest(
-   )
-{
-    int i;    /* loop var */
-    int big;    /* temporary holder to return result */
-
-    big = 0;
-    while (repeat[big] > 1) big++;
-    for (i = big + 1; i < popsize; i++) {
-    if (STOREDD(i,numvars) >= STOREDD(big,numvars) && repeat[i] <= 1) {
-        big = i;
-    }
-    }
-    return(big);
-
-} /* end of largest */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Generates a random number between 0 and the integer a.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-rand_int(
-  int  a)
-{
-    return(Cudd_Random() % (a+1));
-
-} /* end of rand_int */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Hash function for the computed table.]
-
-  Description [Hash function for the computed table. Returns the bucket
-  number.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-array_hash(
-  char * array,
-  int  modulus)
-{
-    int val = 0;
-    int i;
-    int *intarray;
-
-    intarray = (int *) array;
-
-    for (i = 0; i < numvars; i++) {
-    val = val * 997 + intarray[i];
-    }
-
-    return ((val < 0) ? -val : val) % modulus;
-
-} /* end of array_hash */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Comparison function for the computed table.]
-
-  Description [Comparison function for the computed table. Returns 0 if
-  the two arrays are equal; 1 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-array_compare(
-  const char * array1,
-  const char * array2)
-{
-    int i;
-    int *intarray1, *intarray2;
-
-    intarray1 = (int *) array1;
-    intarray2 = (int *) array2;
-
-    for (i = 0; i < numvars; i++) {
-    if (intarray1[i] != intarray2[i]) return(1);
-    }
-    return(0);
-
-} /* end of array_compare */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the index of the fittest individual.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-find_best(
-   )
-{
-    int i,small;
-
-    small = 0;
-    for (i = 1; i < popsize; i++) {
-    if (STOREDD(i,numvars) < STOREDD(small,numvars)) {
-        small = i;
-    }
-    }
-    return(small);
-
-} /* end of find_best */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the average fitness of the population.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static double
-find_average_fitness(
-   )
-{
-    int i;
-    int total_fitness = 0;
-    double average_fitness;
-
-    for (i = 0; i < popsize; i++) {
-    total_fitness += STOREDD(i,numvars);
-    }
-    average_fitness = (double) total_fitness / (double) popsize;
-    return(average_fitness);
-
-} /* end of find_average_fitness */
-
-
-/**Function********************************************************************
-
-  Synopsis [Performs the crossover between two parents.]
-
-  Description [Performs the crossover between two randomly chosen
-  parents, and creates two children, x1 and x2. Uses the Partially
-  Matched Crossover operator.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-PMX(
-  int  maxvar)
-{
-    int     cut1,cut2;    /* the two cut positions (random) */
-    int     mom,dad;    /* the two randomly chosen parents */
-    int        *inv1;        /* inverse permutations for repair algo */
-    int        *inv2;
-    int     i;        /* loop vars */
-    int        u,v;        /* aux vars */
-
-    inv1 = ALLOC(int,maxvar);
-    if (inv1 == NULL) {
-    return(0);
-    }
-    inv2 = ALLOC(int,maxvar);
-    if (inv2 == NULL) {
-    FREE(inv1);
-    return(0);
-    }
-
-    /* Choose two orders from the population using roulette wheel. */
-    if (!roulette(&mom,&dad)) {
-    FREE(inv1);
-    FREE(inv2);
-    return(0);
-    }
-
-    /* Choose two random cut positions. A cut in position i means that
-    ** the cut immediately precedes position i.  If cut1 < cut2, we
-    ** exchange the middle of the two orderings; otherwise, we
-    ** exchange the beginnings and the ends.
-    */
-    cut1 = rand_int(numvars-1);
-    do {
-    cut2 = rand_int(numvars-1);
-    } while (cut1 == cut2);
-
-#if 0
-    /* Print out the parents. */
-    (void) fprintf(table->out,
-           "Crossover of %d (mom) and %d (dad) between %d and %d\n",
-           mom,dad,cut1,cut2);
-    for (i = 0; i < numvars; i++) {
-    if (i == cut1 || i == cut2) (void) fprintf(table->out,"|");
-    (void) fprintf(table->out,"%2d ",STOREDD(mom,i));
-    }
-    (void) fprintf(table->out,"\n");
-    for (i = 0; i < numvars; i++) {
-    if (i == cut1 || i == cut2) (void) fprintf(table->out,"|");
-    (void) fprintf(table->out,"%2d ",STOREDD(dad,i));
-    }
-    (void) fprintf(table->out,"\n");
-#endif
-
-    /* Initialize the inverse permutations: -1 means yet undetermined. */
-    for (i = 0; i < maxvar; i++) {
-    inv1[i] = -1;
-    inv2[i] = -1;
-    }
-
-    /* Copy the portions whithin the cuts. */
-    for (i = cut1; i != cut2; i = (i == numvars-1) ? 0 : i+1) {
-    STOREDD(popsize,i) = STOREDD(dad,i);
-    inv1[STOREDD(popsize,i)] = i;
-    STOREDD(popsize+1,i) = STOREDD(mom,i);
-    inv2[STOREDD(popsize+1,i)] = i;
-    }
-
-    /* Now apply the repair algorithm outside the cuts. */
-    for (i = cut2; i != cut1; i = (i == numvars-1 ) ? 0 : i+1) {
-    v = i;
-    do {
-        u = STOREDD(mom,v);
-        v = inv1[u];
-    } while (v != -1);
-    STOREDD(popsize,i) = u;
-    inv1[u] = i;
-    v = i;
-    do {
-        u = STOREDD(dad,v);
-        v = inv2[u];
-    } while (v != -1);
-    STOREDD(popsize+1,i) = u;
-    inv2[u] = i;
-    }
-
-#if 0
-    /* Print the results of crossover. */
-    for (i = 0; i < numvars; i++) {
-    if (i == cut1 || i == cut2) (void) fprintf(table->out,"|");
-    (void) fprintf(table->out,"%2d ",STOREDD(popsize,i));
-    }
-    (void) fprintf(table->out,"\n");
-    for (i = 0; i < numvars; i++) {
-    if (i == cut1 || i == cut2) (void) fprintf(table->out,"|");
-    (void) fprintf(table->out,"%2d ",STOREDD(popsize+1,i));
-    }
-    (void) fprintf(table->out,"\n");
-#endif
-
-    FREE(inv1);
-    FREE(inv2);
-    return(1);
-
-} /* end of PMX */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Selects two parents with the roulette wheel method.]
-
-  Description [Selects two distinct parents with the roulette wheel method.]
-
-  SideEffects [The indices of the selected parents are returned as side
-  effects.]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-roulette(
-  int * p1,
-  int * p2)
-{
-    double *wheel;
-    double spin;
-    int i;
-
-    wheel = ALLOC(double,popsize);
-    if (wheel == NULL) {
-    return(0);
-    }
-
-    /* The fitness of an individual is the reciprocal of its size. */
-    wheel[0] = 1.0 / (double) STOREDD(0,numvars);
-
-    for (i = 1; i < popsize; i++) {
-    wheel[i] = wheel[i-1] + 1.0 / (double) STOREDD(i,numvars);
-    }
-
-    /* Get a random number between 0 and wheel[popsize-1] (that is,
-    ** the sum of all fitness values. 2147483561 is the largest number
-    ** returned by Cudd_Random.
-    */
-    spin = wheel[numvars-1] * (double) Cudd_Random() / 2147483561.0;
-
-    /* Find the lucky element by scanning the wheel. */
-    for (i = 0; i < popsize; i++) {
-    if (spin <= wheel[i]) break;
-    }
-    *p1 = i;
-
-    /* Repeat the process for the second parent, making sure it is
-    ** distinct from the first.
-    */
-    do {
-    spin = wheel[popsize-1] * (double) Cudd_Random() / 2147483561.0;
-    for (i = 0; i < popsize; i++) {
-        if (spin <= wheel[i]) break;
-    }
-    } while (i == *p1);
-    *p2 = i;
-
-    FREE(wheel);
-    return(1);
-
-} /* end of roulette */
-
diff --git a/src/bdd/cudd/cuddGroup.c b/src/bdd/cudd/cuddGroup.c
deleted file mode 100644
index 81c05d2c..00000000
--- a/src/bdd/cudd/cuddGroup.c
+++ /dev/null
@@ -1,2142 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddGroup.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions for group sifting.]
-
-  Description [External procedures included in this file:
-        <ul>
-        <li> Cudd_MakeTreeNode()
-        </ul>
-    Internal procedures included in this file:
-        <ul>
-        <li> cuddTreeSifting()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> ddTreeSiftingAux()
-        <li> ddCountInternalMtrNodes()
-        <li> ddReorderChildren()
-        <li> ddFindNodeHiLo()
-        <li> ddUniqueCompareGroup()
-        <li> ddGroupSifting()
-        <li> ddCreateGroup()
-        <li> ddGroupSiftingAux()
-        <li> ddGroupSiftingUp()
-        <li> ddGroupSiftingDown()
-        <li> ddGroupMove()
-        <li> ddGroupMoveBackward()
-        <li> ddGroupSiftingBackward()
-        <li> ddMergeGroups()
-        <li> ddDissolveGroup()
-        <li> ddNoCheck()
-        <li> ddSecDiffCheck()
-        <li> ddExtSymmCheck()
-        <li> ddVarGroupCheck()
-        <li> ddSetVarHandled()
-        <li> ddResetVarHandled()
-        <li> ddIsVarHandled()
-        </ul>]
-
-  Author      [Shipra Panda, Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/* Constants for lazy sifting */
-#define    DD_NORMAL_SIFT    0
-#define    DD_LAZY_SIFT    1
-
-/* Constants for sifting up and down */
-#define    DD_SIFT_DOWN    0
-#define    DD_SIFT_UP    1
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddGroup.c,v 1.1.1.1 2003/02/24 22:23:52 wjiang Exp $";
-#endif
-
-static    int    *entry;
-extern    int    ddTotalNumberSwapping;
-#ifdef DD_STATS
-extern    int    ddTotalNISwaps;
-static  int     extsymmcalls;
-static  int     extsymm;
-static  int     secdiffcalls;
-static  int     secdiff;
-static  int     secdiffmisfire;
-#endif
-#ifdef DD_DEBUG
-static    int    pr = 0;    /* flag to enable printing while debugging */
-            /* by depositing a 1 into it */
-#endif
-static int originalSize;
-static int originalLevel;
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int ddTreeSiftingAux ARGS((DdManager *table, MtrNode *treenode, Cudd_ReorderingType method));
-#ifdef DD_STATS
-static int ddCountInternalMtrNodes ARGS((DdManager *table, MtrNode *treenode));
-#endif
-static int ddReorderChildren ARGS((DdManager *table, MtrNode *treenode, Cudd_ReorderingType method));
-static void ddFindNodeHiLo ARGS((DdManager *table, MtrNode *treenode, int *lower, int *upper));
-static int ddUniqueCompareGroup ARGS((int *ptrX, int *ptrY));
-static int ddGroupSifting ARGS((DdManager *table, int lower, int upper, int (*checkFunction)(DdManager *, int, int), int lazyFlag));
-static void ddCreateGroup ARGS((DdManager *table, int x, int y));
-static int ddGroupSiftingAux ARGS((DdManager *table, int x, int xLow, int xHigh, int (*checkFunction)(DdManager *, int, int), int lazyFlag));
-static int ddGroupSiftingUp ARGS((DdManager *table, int y, int xLow, int (*checkFunction)(DdManager *, int, int), Move **moves));
-static int ddGroupSiftingDown ARGS((DdManager *table, int x, int xHigh, int (*checkFunction)(DdManager *, int, int), Move **moves));
-static int ddGroupMove ARGS((DdManager *table, int x, int y, Move **moves));
-static int ddGroupMoveBackward ARGS((DdManager *table, int x, int y));
-static int ddGroupSiftingBackward ARGS((DdManager *table, Move *moves, int size, int upFlag, int lazyFlag));
-static void ddMergeGroups ARGS((DdManager *table, MtrNode *treenode, int low, int high));
-static void ddDissolveGroup ARGS((DdManager *table, int x, int y));
-static int ddNoCheck ARGS((DdManager *table, int x, int y));
-static int ddSecDiffCheck ARGS((DdManager *table, int x, int y));
-static int ddExtSymmCheck ARGS((DdManager *table, int x, int y));
-static int ddVarGroupCheck ARGS((DdManager * table, int x, int y)); 
-static int ddSetVarHandled ARGS((DdManager *dd, int index));
-static int ddResetVarHandled ARGS((DdManager *dd, int index));
-static int ddIsVarHandled ARGS((DdManager *dd, int index));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Creates a new variable group.]
-
-  Description [Creates a new variable group. The group starts at
-  variable and contains size variables. The parameter low is the index
-  of the first variable. If the variable already exists, its current
-  position in the order is known to the manager. If the variable does
-  not exist yet, the position is assumed to be the same as the index.
-  The group tree is created if it does not exist yet.
-  Returns a pointer to the group if successful; NULL otherwise.]
-
-  SideEffects [The variable tree is changed.]
-
-  SeeAlso     [Cudd_MakeZddTreeNode]
-
-******************************************************************************/
-MtrNode *
-Cudd_MakeTreeNode(
-  DdManager * dd /* manager */,
-  unsigned int  low /* index of the first group variable */,
-  unsigned int  size /* number of variables in the group */,
-  unsigned int  type /* MTR_DEFAULT or MTR_FIXED */)
-{
-    MtrNode *group;
-    MtrNode *tree;
-    unsigned int level;
-
-    /* If the variable does not exist yet, the position is assumed to be
-    ** the same as the index. Therefore, applications that rely on
-    ** Cudd_bddNewVarAtLevel or Cudd_addNewVarAtLevel to create new
-    ** variables have to create the variables before they group them.
-    */
-    level = (low < (unsigned int) dd->size) ? dd->perm[low] : low;
-
-    if (level + size - 1> (int) MTR_MAXHIGH)
-    return(NULL);
-
-    /* If the tree does not exist yet, create it. */
-    tree = dd->tree;
-    if (tree == NULL) {
-    dd->tree = tree = Mtr_InitGroupTree(0, dd->size);
-    if (tree == NULL)
-        return(NULL);
-    tree->index = dd->invperm[0];
-    }
-
-    /* Extend the upper bound of the tree if necessary. This allows the
-    ** application to create groups even before the variables are created.
-    */
-    tree->size = ddMax(tree->size, ddMax(level + size, (unsigned) dd->size));
-
-    /* Create the group. */
-    group = Mtr_MakeGroup(tree, level, size, type);
-    if (group == NULL)
-    return(NULL);
-
-    /* Initialize the index field to the index of the variable currently
-    ** in position low. This field will be updated by the reordering
-    ** procedure to provide a handle to the group once it has been moved.
-    */
-    group->index = (MtrHalfWord) low;
-
-    return(group);
-
-} /* end of Cudd_MakeTreeNode */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Tree sifting algorithm.]
-
-  Description [Tree sifting algorithm. Assumes that a tree representing
-  a group hierarchy is passed as a parameter. It then reorders each
-  group in postorder fashion by calling ddTreeSiftingAux.  Assumes that
-  no dead nodes are present.  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-int
-cuddTreeSifting(
-  DdManager * table /* DD table */,
-  Cudd_ReorderingType method /* reordering method for the groups of leaves */)
-{
-    int i;
-    int nvars;
-    int result;
-    int tempTree;
-
-    /* If no tree is provided we create a temporary one in which all
-    ** variables are in a single group. After reordering this tree is
-    ** destroyed.
-    */
-    tempTree = table->tree == NULL;
-    if (tempTree) {
-    table->tree = Mtr_InitGroupTree(0,table->size);
-    table->tree->index = table->invperm[0];
-    }
-    nvars = table->size;
-
-#ifdef DD_DEBUG
-    if (pr > 0 && !tempTree) (void) fprintf(table->out,"cuddTreeSifting:");
-    Mtr_PrintGroups(table->tree,pr <= 0);
-#endif
-
-#ifdef DD_STATS
-    extsymmcalls = 0;
-    extsymm = 0;
-    secdiffcalls = 0;
-    secdiff = 0;
-    secdiffmisfire = 0;
-
-    (void) fprintf(table->out,"\n");
-    if (!tempTree)
-    (void) fprintf(table->out,"#:IM_NODES  %8d: group tree nodes\n",
-               ddCountInternalMtrNodes(table,table->tree));
-#endif
-
-    /* Initialize the group of each subtable to itself. Initially
-    ** there are no groups. Groups are created according to the tree
-    ** structure in postorder fashion.
-    */
-    for (i = 0; i < nvars; i++)
-        table->subtables[i].next = i;
-
-
-    /* Reorder. */
-    result = ddTreeSiftingAux(table, table->tree, method);
-
-#ifdef DD_STATS        /* print stats */
-    if (!tempTree && method == CUDD_REORDER_GROUP_SIFT &&
-    (table->groupcheck == CUDD_GROUP_CHECK7 ||
-     table->groupcheck == CUDD_GROUP_CHECK5)) {
-    (void) fprintf(table->out,"\nextsymmcalls = %d\n",extsymmcalls);
-    (void) fprintf(table->out,"extsymm = %d",extsymm);
-    }
-    if (!tempTree && method == CUDD_REORDER_GROUP_SIFT &&
-    table->groupcheck == CUDD_GROUP_CHECK7) {
-    (void) fprintf(table->out,"\nsecdiffcalls = %d\n",secdiffcalls);
-    (void) fprintf(table->out,"secdiff = %d\n",secdiff);
-    (void) fprintf(table->out,"secdiffmisfire = %d",secdiffmisfire);
-    }
-#endif
-
-    if (tempTree)
-    Cudd_FreeTree(table);
-    return(result);
-
-} /* end of cuddTreeSifting */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Visits the group tree and reorders each group.]
-
-  Description [Recursively visits the group tree and reorders each
-  group in postorder fashion.  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddTreeSiftingAux(
-  DdManager * table,
-  MtrNode * treenode,
-  Cudd_ReorderingType method)
-{
-    MtrNode  *auxnode;
-    int res;
-    Cudd_AggregationType saveCheck;
-
-#ifdef DD_DEBUG
-    Mtr_PrintGroups(treenode,1);
-#endif
-
-    auxnode = treenode;
-    while (auxnode != NULL) {
-    if (auxnode->child != NULL) {
-        if (!ddTreeSiftingAux(table, auxnode->child, method))
-        return(0);
-        saveCheck = table->groupcheck;
-        table->groupcheck = CUDD_NO_CHECK;
-        if (method != CUDD_REORDER_LAZY_SIFT)
-          res = ddReorderChildren(table, auxnode, CUDD_REORDER_GROUP_SIFT);
-        else
-          res = ddReorderChildren(table, auxnode, CUDD_REORDER_LAZY_SIFT);
-        table->groupcheck = saveCheck;
-
-        if (res == 0)
-        return(0);
-    } else if (auxnode->size > 1) {
-        if (!ddReorderChildren(table, auxnode, method))
-        return(0);
-    }
-    auxnode = auxnode->younger;
-    }
-
-    return(1);
-
-} /* end of ddTreeSiftingAux */
-
-
-#ifdef DD_STATS
-/**Function********************************************************************
-
-  Synopsis    [Counts the number of internal nodes of the group tree.]
-
-  Description [Counts the number of internal nodes of the group tree.
-  Returns the count.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddCountInternalMtrNodes(
-  DdManager * table,
-  MtrNode * treenode)
-{
-    MtrNode *auxnode;
-    int     count,nodeCount;
-
-
-    nodeCount = 0;
-    auxnode = treenode;
-    while (auxnode != NULL) {
-    if (!(MTR_TEST(auxnode,MTR_TERMINAL))) {
-        nodeCount++;
-        count = ddCountInternalMtrNodes(table,auxnode->child);
-        nodeCount += count;
-    }
-    auxnode = auxnode->younger;
-    }
-
-    return(nodeCount);
-
-} /* end of ddCountInternalMtrNodes */
-#endif
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders the children of a group tree node according to
-  the options.]
-
-  Description [Reorders the children of a group tree node according to
-  the options. After reordering puts all the variables in the group
-  and/or its descendents in a single group. This allows hierarchical
-  reordering.  If the variables in the group do not exist yet, simply
-  does nothing. Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddReorderChildren(
-  DdManager * table,
-  MtrNode * treenode,
-  Cudd_ReorderingType method)
-{
-    int lower;
-    int upper;
-    int result;
-    unsigned int initialSize;
-
-    ddFindNodeHiLo(table,treenode,&lower,&upper);
-    /* If upper == -1 these variables do not exist yet. */
-    if (upper == -1)
-    return(1);
-
-    if (treenode->flags == MTR_FIXED) {
-    result = 1;
-    } else {
-#ifdef DD_STATS
-    (void) fprintf(table->out," ");
-#endif
-    switch (method) {
-    case CUDD_REORDER_RANDOM:
-    case CUDD_REORDER_RANDOM_PIVOT:
-        result = cuddSwapping(table,lower,upper,method);
-        break;
-    case CUDD_REORDER_SIFT:
-        result = cuddSifting(table,lower,upper);
-        break;
-    case CUDD_REORDER_SIFT_CONVERGE:
-        do {
-        initialSize = table->keys - table->isolated;
-        result = cuddSifting(table,lower,upper);
-        if (initialSize <= table->keys - table->isolated)
-            break;
-#ifdef DD_STATS
-        else
-            (void) fprintf(table->out,"\n");
-#endif
-        } while (result != 0);
-        break;
-    case CUDD_REORDER_SYMM_SIFT:
-        result = cuddSymmSifting(table,lower,upper);
-        break;
-    case CUDD_REORDER_SYMM_SIFT_CONV:
-        result = cuddSymmSiftingConv(table,lower,upper);
-        break;
-    case CUDD_REORDER_GROUP_SIFT:
-        if (table->groupcheck == CUDD_NO_CHECK) {
-        result = ddGroupSifting(table,lower,upper,ddNoCheck,
-                    DD_NORMAL_SIFT);
-        } else if (table->groupcheck == CUDD_GROUP_CHECK5) {
-        result = ddGroupSifting(table,lower,upper,ddExtSymmCheck,
-                    DD_NORMAL_SIFT);
-        } else if (table->groupcheck == CUDD_GROUP_CHECK7) {
-        result = ddGroupSifting(table,lower,upper,ddExtSymmCheck,
-                    DD_NORMAL_SIFT);
-        } else {
-        (void) fprintf(table->err,
-                   "Unknown group ckecking method\n");
-        result = 0;
-        }
-        break;
-    case CUDD_REORDER_GROUP_SIFT_CONV:
-        do {
-        initialSize = table->keys - table->isolated;
-        if (table->groupcheck == CUDD_NO_CHECK) {
-            result = ddGroupSifting(table,lower,upper,ddNoCheck,
-                        DD_NORMAL_SIFT);
-        } else if (table->groupcheck == CUDD_GROUP_CHECK5) {
-            result = ddGroupSifting(table,lower,upper,ddExtSymmCheck,
-                        DD_NORMAL_SIFT);
-        } else if (table->groupcheck == CUDD_GROUP_CHECK7) {
-            result = ddGroupSifting(table,lower,upper,ddExtSymmCheck,
-                        DD_NORMAL_SIFT);
-        } else {
-            (void) fprintf(table->err,
-                   "Unknown group ckecking method\n");
-            result = 0;
-        }
-#ifdef DD_STATS
-        (void) fprintf(table->out,"\n");
-#endif
-        result = cuddWindowReorder(table,lower,upper,
-                       CUDD_REORDER_WINDOW4);
-        if (initialSize <= table->keys - table->isolated)
-            break;
-#ifdef DD_STATS
-        else
-            (void) fprintf(table->out,"\n");
-#endif
-        } while (result != 0);
-        break;
-    case CUDD_REORDER_WINDOW2:
-    case CUDD_REORDER_WINDOW3:
-    case CUDD_REORDER_WINDOW4:
-    case CUDD_REORDER_WINDOW2_CONV:
-    case CUDD_REORDER_WINDOW3_CONV:
-    case CUDD_REORDER_WINDOW4_CONV:
-        result = cuddWindowReorder(table,lower,upper,method);
-        break;
-    case CUDD_REORDER_ANNEALING:
-        result = cuddAnnealing(table,lower,upper);
-        break;
-    case CUDD_REORDER_GENETIC:
-        result = cuddGa(table,lower,upper);
-        break;
-    case CUDD_REORDER_LINEAR:
-        result = cuddLinearAndSifting(table,lower,upper);
-        break;
-    case CUDD_REORDER_LINEAR_CONVERGE:
-        do {
-        initialSize = table->keys - table->isolated;
-        result = cuddLinearAndSifting(table,lower,upper);
-        if (initialSize <= table->keys - table->isolated)
-            break;
-#ifdef DD_STATS
-        else
-            (void) fprintf(table->out,"\n");
-#endif
-        } while (result != 0);
-        break;
-    case CUDD_REORDER_EXACT:
-        result = cuddExact(table,lower,upper);
-        break;
-    case CUDD_REORDER_LAZY_SIFT:
-        result = ddGroupSifting(table,lower,upper,ddVarGroupCheck,
-                    DD_LAZY_SIFT);
-        break;
-    default:
-        return(0);
-    }
-    }
-
-    /* Create a single group for all the variables that were sifted,
-    ** so that they will be treated as a single block by successive
-    ** invocations of ddGroupSifting.
-    */
-    ddMergeGroups(table,treenode,lower,upper);
-
-#ifdef DD_DEBUG
-    if (pr > 0) (void) fprintf(table->out,"ddReorderChildren:");
-#endif
-
-    return(result);
-
-} /* end of ddReorderChildren */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the lower and upper bounds of the group represented
-  by treenode.]
-
-  Description [Finds the lower and upper bounds of the group
-  represented by treenode.  From the index and size fields we need to
-  derive the current positions, and find maximum and minimum.]
-
-  SideEffects [The bounds are returned as side effects.]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-ddFindNodeHiLo(
-  DdManager * table,
-  MtrNode * treenode,
-  int * lower,
-  int * upper)
-{
-    int low;
-    int high;
-
-    /* Check whether no variables in this group already exist.
-    ** If so, return immediately. The calling procedure will know from
-    ** the values of upper that no reordering is needed.
-    */
-    if ((int) treenode->low >= table->size) {
-    *lower = table->size;
-    *upper = -1;
-    return;
-    }
-
-    *lower = low = (unsigned int) table->perm[treenode->index];
-    high = (int) (low + treenode->size - 1);
-
-    if (high >= table->size) {
-    /* This is the case of a partially existing group. The aim is to
-    ** reorder as many variables as safely possible.  If the tree
-    ** node is terminal, we just reorder the subset of the group
-    ** that is currently in existence.  If the group has
-    ** subgroups, then we only reorder those subgroups that are
-    ** fully instantiated.  This way we avoid breaking up a group.
-    */
-    MtrNode *auxnode = treenode->child;
-    if (auxnode == NULL) {
-        *upper = (unsigned int) table->size - 1;
-    } else {
-        /* Search the subgroup that strands the table->size line.
-        ** If the first group starts at 0 and goes past table->size
-        ** upper will get -1, thus correctly signaling that no reordering
-        ** should take place.
-        */
-        while (auxnode != NULL) {
-        int thisLower = table->perm[auxnode->low];
-        int thisUpper = thisLower + auxnode->size - 1;
-        if (thisUpper >= table->size && thisLower < table->size)
-            *upper = (unsigned int) thisLower - 1;
-        auxnode = auxnode->younger;
-        }
-    }
-    } else {
-    /* Normal case: All the variables of the group exist. */
-    *upper = (unsigned int) high;
-    }
-
-#ifdef DD_DEBUG
-    /* Make sure that all variables in group are contiguous. */
-    assert(treenode->size >= *upper - *lower + 1);
-#endif
-
-    return;
-
-} /* end of ddFindNodeHiLo */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Comparison function used by qsort.]
-
-  Description [Comparison function used by qsort to order the variables
-  according to the number of keys in the subtables.  Returns the
-  difference in number of keys between the two variables being
-  compared.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddUniqueCompareGroup(
-  int * ptrX,
-  int * ptrY)
-{
-#if 0
-    if (entry[*ptrY] == entry[*ptrX]) {
-    return((*ptrX) - (*ptrY));
-    }
-#endif
-    return(entry[*ptrY] - entry[*ptrX]);
-
-} /* end of ddUniqueCompareGroup */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sifts from treenode->low to treenode->high.]
-
-  Description [Sifts from treenode->low to treenode->high. If
-  croupcheck == CUDD_GROUP_CHECK7, it checks for group creation at the
-  end of the initial sifting. If a group is created, it is then sifted
-  again. After sifting one variable, the group that contains it is
-  dissolved.  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddGroupSifting(
-  DdManager * table,
-  int  lower,
-  int  upper,
-  int (*checkFunction)(DdManager *, int, int),
-  int lazyFlag)
-{
-    int        *var;
-    int        i,j,x,xInit;
-    int        nvars;
-    int        classes;
-    int        result;
-    int        *sifted;
-    int        merged;
-    int        dissolve;
-#ifdef DD_STATS
-    unsigned    previousSize;
-#endif
-    int        xindex;
-
-    nvars = table->size;
-
-    /* Order variables to sift. */
-    entry = NULL;
-    sifted = NULL;
-    var = ALLOC(int,nvars);
-    if (var == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto ddGroupSiftingOutOfMem;
-    }
-    entry = ALLOC(int,nvars);
-    if (entry == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto ddGroupSiftingOutOfMem;
-    }
-    sifted = ALLOC(int,nvars);
-    if (sifted == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto ddGroupSiftingOutOfMem;
-    }
-
-    /* Here we consider only one representative for each group. */
-    for (i = 0, classes = 0; i < nvars; i++) {
-    sifted[i] = 0;
-    x = table->perm[i];
-    if ((unsigned) x >= table->subtables[x].next) {
-        entry[i] = table->subtables[x].keys;
-        var[classes] = i;
-        classes++;
-    }
-    }
-
-    qsort((void *)var,classes,sizeof(int),
-      (int (*)(const void *, const void *)) ddUniqueCompareGroup);
-
-    if (lazyFlag) {
-    for (i = 0; i < nvars; i ++) {
-        ddResetVarHandled(table, i);
-    }
-    }
-
-    /* Now sift. */
-    for (i = 0; i < ddMin(table->siftMaxVar,classes); i++) {
-    if (ddTotalNumberSwapping >= table->siftMaxSwap)
-        break;
-    xindex = var[i];
-    if (sifted[xindex] == 1) /* variable already sifted as part of group */
-        continue;
-        x = table->perm[xindex]; /* find current level of this variable */
-
-    if (x < lower || x > upper || table->subtables[x].bindVar == 1)
-        continue;
-#ifdef DD_STATS
-    previousSize = table->keys - table->isolated;
-#endif
-#ifdef DD_DEBUG
-    /* x is bottom of group */
-        assert((unsigned) x >= table->subtables[x].next);
-#endif
-    if ((unsigned) x == table->subtables[x].next) {
-        dissolve = 1;
-        result = ddGroupSiftingAux(table,x,lower,upper,checkFunction,
-                        lazyFlag);
-    } else {
-        dissolve = 0;
-        result = ddGroupSiftingAux(table,x,lower,upper,ddNoCheck,lazyFlag);
-    }
-    if (!result) goto ddGroupSiftingOutOfMem;
-
-    /* check for aggregation */
-    merged = 0;
-    if (lazyFlag == 0 && table->groupcheck == CUDD_GROUP_CHECK7) {
-        x = table->perm[xindex]; /* find current level */
-        if ((unsigned) x == table->subtables[x].next) { /* not part of a group */
-        if (x != upper && sifted[table->invperm[x+1]] == 0 &&
-        (unsigned) x+1 == table->subtables[x+1].next) {
-            if (ddSecDiffCheck(table,x,x+1)) {
-            merged =1;
-            ddCreateGroup(table,x,x+1);
-            }
-        }
-        if (x != lower && sifted[table->invperm[x-1]] == 0 &&
-        (unsigned) x-1 == table->subtables[x-1].next) {
-            if (ddSecDiffCheck(table,x-1,x)) {
-            merged =1;
-            ddCreateGroup(table,x-1,x);
-            }
-        }
-        }
-    }
-
-    if (merged) { /* a group was created */
-        /* move x to bottom of group */
-        while ((unsigned) x < table->subtables[x].next)
-        x = table->subtables[x].next;
-        /* sift */
-        result = ddGroupSiftingAux(table,x,lower,upper,ddNoCheck,lazyFlag);
-        if (!result) goto ddGroupSiftingOutOfMem;
-#ifdef DD_STATS
-        if (table->keys < previousSize + table->isolated) {
-        (void) fprintf(table->out,"_");
-        } else if (table->keys > previousSize + table->isolated) {
-        (void) fprintf(table->out,"^");
-        } else {
-        (void) fprintf(table->out,"*");
-        }
-        fflush(table->out);
-    } else {
-        if (table->keys < previousSize + table->isolated) {
-        (void) fprintf(table->out,"-");
-        } else if (table->keys > previousSize + table->isolated) {
-        (void) fprintf(table->out,"+");
-        } else {
-        (void) fprintf(table->out,"=");
-        }
-        fflush(table->out);
-#endif
-    }
-
-    /* Mark variables in the group just sifted. */
-    x = table->perm[xindex];
-    if ((unsigned) x != table->subtables[x].next) {
-        xInit = x;
-        do {
-        j = table->invperm[x];
-        sifted[j] = 1;
-        x = table->subtables[x].next;
-        } while (x != xInit);
-
-        /* Dissolve the group if it was created. */
-        if (lazyFlag == 0 && dissolve) {
-        do {
-            j = table->subtables[x].next;
-            table->subtables[x].next = x;
-            x = j;
-        } while (x != xInit);
-        }
-    }
-
-#ifdef DD_DEBUG
-    if (pr > 0) (void) fprintf(table->out,"ddGroupSifting:");
-#endif
-
-      if (lazyFlag) ddSetVarHandled(table, xindex);
-    } /* for */
-
-    FREE(sifted);
-    FREE(var);
-    FREE(entry);
-
-    return(1);
-
-ddGroupSiftingOutOfMem:
-    if (entry != NULL)    FREE(entry);
-    if (var != NULL)    FREE(var);
-    if (sifted != NULL)    FREE(sifted);
-
-    return(0);
-
-} /* end of ddGroupSifting */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Creates a group encompassing variables from x to y in the
-  DD table.]
-
-  Description [Creates a group encompassing variables from x to y in the
-  DD table. In the current implementation it must be y == x+1.
-  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static void
-ddCreateGroup(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    int  gybot;
-
-#ifdef DD_DEBUG
-    assert(y == x+1);
-#endif
-
-    /* Find bottom of second group. */
-    gybot = y;
-    while ((unsigned) gybot < table->subtables[gybot].next)
-    gybot = table->subtables[gybot].next;
-
-    /* Link groups. */
-    table->subtables[x].next = y;
-    table->subtables[gybot].next = x;
-
-    return;
-
-} /* ddCreateGroup */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sifts one variable up and down until it has taken all
-  positions. Checks for aggregation.]
-
-  Description [Sifts one variable up and down until it has taken all
-  positions. Checks for aggregation. There may be at most two sweeps,
-  even if the group grows.  Assumes that x is either an isolated
-  variable, or it is the bottom of a group. All groups may not have
-  been found. The variable being moved is returned to the best position
-  seen during sifting.  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddGroupSiftingAux(
-  DdManager * table,
-  int  x,
-  int  xLow,
-  int  xHigh,
-  int (*checkFunction)(DdManager *, int, int),
-  int lazyFlag)
-{
-    Move *move;
-    Move *moves;    /* list of moves */
-    int  initialSize;
-    int  result;
-    int  y;
-    int  topbot;
-
-#ifdef DD_DEBUG
-    if (pr > 0) (void) fprintf(table->out,
-                   "ddGroupSiftingAux from %d to %d\n",xLow,xHigh);
-    assert((unsigned) x >= table->subtables[x].next); /* x is bottom of group */
-#endif
-
-    initialSize = table->keys - table->isolated;
-    moves = NULL;
-
-    originalSize = initialSize;        /* for lazy sifting */
-
-    /* If we have a singleton, we check for aggregation in both
-    ** directions before we sift.
-    */
-    if ((unsigned) x == table->subtables[x].next) {
-    /* Will go down first, unless x == xHigh:
-    ** Look for aggregation above x.
-    */
-    for (y = x; y > xLow; y--) {
-        if (!checkFunction(table,y-1,y))
-        break;
-        topbot = table->subtables[y-1].next; /* find top of y-1's group */
-        table->subtables[y-1].next = y;
-        table->subtables[x].next = topbot; /* x is bottom of group so its */
-                           /* next is top of y-1's group */
-        y = topbot + 1; /* add 1 for y--; new y is top of group */
-    }
-    /* Will go up first unless x == xlow:
-    ** Look for aggregation below x.
-    */
-    for (y = x; y < xHigh; y++) {
-        if (!checkFunction(table,y,y+1))
-        break;
-        /* find bottom of y+1's group */
-        topbot = y + 1;
-        while ((unsigned) topbot < table->subtables[topbot].next) {
-        topbot = table->subtables[topbot].next;
-        }
-        table->subtables[topbot].next = table->subtables[y].next;
-        table->subtables[y].next = y + 1;
-        y = topbot - 1; /* subtract 1 for y++; new y is bottom of group */
-    }
-    }
-
-    /* Now x may be in the middle of a group.
-    ** Find bottom of x's group.
-    */
-    while ((unsigned) x < table->subtables[x].next)
-    x = table->subtables[x].next;
-
-    originalLevel = x;            /* for lazy sifting */
-
-    if (x == xLow) { /* Sift down */
-#ifdef DD_DEBUG
-    /* x must be a singleton */
-    assert((unsigned) x == table->subtables[x].next);
-#endif
-    if (x == xHigh) return(1);    /* just one variable */
-
-        if (!ddGroupSiftingDown(table,x,xHigh,checkFunction,&moves))
-            goto ddGroupSiftingAuxOutOfMem;
-    /* at this point x == xHigh, unless early term */
-
-    /* move backward and stop at best position */
-    result = ddGroupSiftingBackward(table,moves,initialSize,
-                    DD_SIFT_DOWN,lazyFlag);
-#ifdef DD_DEBUG
-    assert(table->keys - table->isolated <= (unsigned) initialSize);
-#endif
-        if (!result) goto ddGroupSiftingAuxOutOfMem;
-
-    } else if (cuddNextHigh(table,x) > xHigh) { /* Sift up */
-#ifdef DD_DEBUG
-    /* x is bottom of group */
-        assert((unsigned) x >= table->subtables[x].next);
-#endif
-        /* Find top of x's group */
-        x = table->subtables[x].next;
-
-        if (!ddGroupSiftingUp(table,x,xLow,checkFunction,&moves))
-            goto ddGroupSiftingAuxOutOfMem;
-    /* at this point x == xLow, unless early term */
-
-    /* move backward and stop at best position */
-    result = ddGroupSiftingBackward(table,moves,initialSize,
-                    DD_SIFT_UP,lazyFlag);
-#ifdef DD_DEBUG
-    assert(table->keys - table->isolated <= (unsigned) initialSize);
-#endif
-        if (!result) goto ddGroupSiftingAuxOutOfMem;
-
-    } else if (x - xLow > xHigh - x) { /* must go down first: shorter */
-        if (!ddGroupSiftingDown(table,x,xHigh,checkFunction,&moves))
-            goto ddGroupSiftingAuxOutOfMem;
-    /* at this point x == xHigh, unless early term */
-
-        /* Find top of group */
-    if (moves) {
-        x = moves->y;
-    }
-    while ((unsigned) x < table->subtables[x].next)
-        x = table->subtables[x].next;
-    x = table->subtables[x].next;
-#ifdef DD_DEBUG
-        /* x should be the top of a group */
-        assert((unsigned) x <= table->subtables[x].next);
-#endif
-
-        if (!ddGroupSiftingUp(table,x,xLow,checkFunction,&moves))
-            goto ddGroupSiftingAuxOutOfMem;
-
-    /* move backward and stop at best position */
-    result = ddGroupSiftingBackward(table,moves,initialSize,
-                    DD_SIFT_UP,lazyFlag);
-#ifdef DD_DEBUG
-    assert(table->keys - table->isolated <= (unsigned) initialSize);
-#endif
-        if (!result) goto ddGroupSiftingAuxOutOfMem;
-
-    } else { /* moving up first: shorter */
-        /* Find top of x's group */
-        x = table->subtables[x].next;
-
-        if (!ddGroupSiftingUp(table,x,xLow,checkFunction,&moves))
-            goto ddGroupSiftingAuxOutOfMem;
-    /* at this point x == xHigh, unless early term */
-
-        if (moves) {
-        x = moves->x;
-    }
-    while ((unsigned) x < table->subtables[x].next)
-        x = table->subtables[x].next;
-#ifdef DD_DEBUG
-        /* x is bottom of a group */
-        assert((unsigned) x >= table->subtables[x].next);
-#endif
-
-        if (!ddGroupSiftingDown(table,x,xHigh,checkFunction,&moves))
-            goto ddGroupSiftingAuxOutOfMem;
-
-    /* move backward and stop at best position */
-    result = ddGroupSiftingBackward(table,moves,initialSize,
-                    DD_SIFT_DOWN,lazyFlag);
-#ifdef DD_DEBUG
-    assert(table->keys - table->isolated <= (unsigned) initialSize);
-#endif
-        if (!result) goto ddGroupSiftingAuxOutOfMem;
-    }
-
-    while (moves != NULL) {
-        move = moves->next;
-        cuddDeallocNode(table, (DdNode *) moves);
-        moves = move;
-    }
-
-    return(1);
-
-ddGroupSiftingAuxOutOfMem:
-    while (moves != NULL) {
-        move = moves->next;
-        cuddDeallocNode(table, (DdNode *) moves);
-        moves = move;
-    }
-
-    return(0);
-
-} /* end of ddGroupSiftingAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sifts up a variable until either it reaches position xLow
-  or the size of the DD heap increases too much.]
-
-  Description [Sifts up a variable until either it reaches position
-  xLow or the size of the DD heap increases too much. Assumes that y is
-  the top of a group (or a singleton).  Checks y for aggregation to the
-  adjacent variables. Records all the moves that are appended to the
-  list of moves received as input and returned as a side effect.
-  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddGroupSiftingUp(
-  DdManager * table,
-  int  y,
-  int  xLow,
-  int (*checkFunction)(DdManager *, int, int),
-  Move ** moves)
-{
-    Move *move;
-    int  x;
-    int  size;
-    int  i;
-    int  gxtop,gybot;
-    int  limitSize;
-    int  xindex, yindex;
-    int  zindex;
-    int  z;
-    int  isolated;
-    int  L;    /* lower bound on DD size */
-#ifdef DD_DEBUG
-    int  checkL;
-#endif
-
-    yindex = table->invperm[y];
-
-    /* Initialize the lower bound.
-    ** The part of the DD below the bottom of y's group will not change.
-    ** The part of the DD above y that does not interact with any
-    ** variable of y's group will not change.
-    ** The rest may vanish in the best case, except for
-    ** the nodes at level xLow, which will not vanish, regardless.
-    ** What we use here is not really a lower bound, because we ignore
-    ** the interactions with all variables except y.
-    */
-    limitSize = L = table->keys - table->isolated;
-    gybot = y;
-    while ((unsigned) gybot < table->subtables[gybot].next)
-    gybot = table->subtables[gybot].next;
-    for (z = xLow + 1; z <= gybot; z++) {
-    zindex = table->invperm[z];
-    if (zindex == yindex || cuddTestInteract(table,zindex,yindex)) {
-        isolated = table->vars[zindex]->ref == 1;
-        L -= table->subtables[z].keys - isolated;
-    }
-    }
-
-    originalLevel = y;            /* for lazy sifting */
-
-    x = cuddNextLow(table,y);
-    while (x >= xLow && L <= limitSize) {
-#ifdef DD_DEBUG
-    gybot = y;
-    while ((unsigned) gybot < table->subtables[gybot].next)
-        gybot = table->subtables[gybot].next;
-    checkL = table->keys - table->isolated;
-    for (z = xLow + 1; z <= gybot; z++) {
-        zindex = table->invperm[z];
-        if (zindex == yindex || cuddTestInteract(table,zindex,yindex)) {
-        isolated = table->vars[zindex]->ref == 1;
-        checkL -= table->subtables[z].keys - isolated;
-        }
-    }
-    if (pr > 0 && L != checkL) {
-        (void) fprintf(table->out,
-               "Inaccurate lower bound: L = %d checkL = %d\n",
-               L, checkL);
-    }
-#endif
-        gxtop = table->subtables[x].next;
-        if (checkFunction(table,x,y)) {
-        /* Group found, attach groups */
-        table->subtables[x].next = y;
-        i = table->subtables[y].next;
-        while (table->subtables[i].next != (unsigned) y)
-        i = table->subtables[i].next;
-        table->subtables[i].next = gxtop;
-        move = (Move *)cuddDynamicAllocNode(table);
-        if (move == NULL) goto ddGroupSiftingUpOutOfMem;
-        move->x = x;
-        move->y = y;
-        move->flags = MTR_NEWNODE;
-        move->size = table->keys - table->isolated;
-        move->next = *moves;
-        *moves = move;
-        } else if (table->subtables[x].next == (unsigned) x &&
-           table->subtables[y].next == (unsigned) y) {
-            /* x and y are self groups */
-        xindex = table->invperm[x];
-            size = cuddSwapInPlace(table,x,y);
-#ifdef DD_DEBUG
-            assert(table->subtables[x].next == (unsigned) x);
-            assert(table->subtables[y].next == (unsigned) y);
-#endif
-            if (size == 0) goto ddGroupSiftingUpOutOfMem;
-        /* Update the lower bound. */
-        if (cuddTestInteract(table,xindex,yindex)) {
-        isolated = table->vars[xindex]->ref == 1;
-        L += table->subtables[y].keys - isolated;
-        }
-            move = (Move *)cuddDynamicAllocNode(table);
-            if (move == NULL) goto ddGroupSiftingUpOutOfMem;
-            move->x = x;
-            move->y = y;
-        move->flags = MTR_DEFAULT;
-            move->size = size;
-            move->next = *moves;
-            *moves = move;
-
-#ifdef DD_DEBUG
-        if (pr > 0) (void) fprintf(table->out,
-                       "ddGroupSiftingUp (2 single groups):\n");
-#endif
-            if ((double) size > (double) limitSize * table->maxGrowth)
-        return(1);
-            if (size < limitSize) limitSize = size;
-        } else { /* Group move */
-            size = ddGroupMove(table,x,y,moves);
-        if (size == 0) goto ddGroupSiftingUpOutOfMem;
-        /* Update the lower bound. */
-        z = (*moves)->y;
-        do {
-        zindex = table->invperm[z];
-        if (cuddTestInteract(table,zindex,yindex)) {
-            isolated = table->vars[zindex]->ref == 1;
-            L += table->subtables[z].keys - isolated;
-        }
-        z = table->subtables[z].next;
-        } while (z != (int) (*moves)->y);
-            if ((double) size > (double) limitSize * table->maxGrowth)
-        return(1);
-            if (size < limitSize) limitSize = size;
-        }
-        y = gxtop;
-        x = cuddNextLow(table,y);
-    }
-
-    return(1);
-
-ddGroupSiftingUpOutOfMem:
-    while (*moves != NULL) {
-        move = (*moves)->next;
-        cuddDeallocNode(table, (DdNode *) *moves);
-        *moves = move;
-    }
-    return(0);
-
-} /* end of ddGroupSiftingUp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sifts down a variable until it reaches position xHigh.]
-
-  Description [Sifts down a variable until it reaches position xHigh.
-  Assumes that x is the bottom of a group (or a singleton).  Records
-  all the moves.  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddGroupSiftingDown(
-  DdManager * table,
-  int  x,
-  int  xHigh,
-  int (*checkFunction)(DdManager *, int, int),
-  Move ** moves)
-{
-    Move *move;
-    int  y;
-    int  size;
-    int  limitSize;
-    int  gxtop,gybot;
-    int  R;    /* upper bound on node decrease */
-    int  xindex, yindex;
-    int  isolated, allVars;
-    int  z;
-    int  zindex;
-#ifdef DD_DEBUG
-    int  checkR;
-#endif
-
-    /* If the group consists of simple variables, there is no point in
-    ** sifting it down. This check is redundant if the projection functions
-    ** do not have external references, because the computation of the
-    ** lower bound takes care of the problem.  It is necessary otherwise to
-    ** prevent the sifting down of simple variables. */
-    y = x;
-    allVars = 1;
-    do {
-    if (table->subtables[y].keys != 1) {
-        allVars = 0;
-        break;
-    }
-    y = table->subtables[y].next;
-    } while (table->subtables[y].next != (unsigned) x);
-    if (allVars)
-    return(1);
-    
-    /* Initialize R. */
-    xindex = table->invperm[x];
-    gxtop = table->subtables[x].next;
-    limitSize = size = table->keys - table->isolated;
-    R = 0;
-    for (z = xHigh; z > gxtop; z--) {
-    zindex = table->invperm[z];
-    if (zindex == xindex || cuddTestInteract(table,xindex,zindex)) {
-        isolated = table->vars[zindex]->ref == 1;
-        R += table->subtables[z].keys - isolated;
-    }
-    }
-
-    originalLevel = x;            /* for lazy sifting */
-
-    y = cuddNextHigh(table,x);
-    while (y <= xHigh && size - R < limitSize) {
-#ifdef DD_DEBUG
-    gxtop = table->subtables[x].next;
-    checkR = 0;
-    for (z = xHigh; z > gxtop; z--) {
-        zindex = table->invperm[z];
-        if (zindex == xindex || cuddTestInteract(table,xindex,zindex)) {
-        isolated = table->vars[zindex]->ref == 1;
-        checkR += table->subtables[z].keys - isolated;
-        }
-    }
-    assert(R >= checkR);
-#endif
-    /* Find bottom of y group. */
-        gybot = table->subtables[y].next;
-        while (table->subtables[gybot].next != (unsigned) y)
-            gybot = table->subtables[gybot].next;
-
-        if (checkFunction(table,x,y)) {
-        /* Group found: attach groups and record move. */
-        gxtop = table->subtables[x].next;
-        table->subtables[x].next = y;
-        table->subtables[gybot].next = gxtop;
-        move = (Move *)cuddDynamicAllocNode(table);
-        if (move == NULL) goto ddGroupSiftingDownOutOfMem;
-        move->x = x;
-        move->y = y;
-        move->flags = MTR_NEWNODE;
-        move->size = table->keys - table->isolated;
-        move->next = *moves;
-        *moves = move;
-        } else if (table->subtables[x].next == (unsigned) x &&
-           table->subtables[y].next == (unsigned) y) {
-            /* x and y are self groups */
-        /* Update upper bound on node decrease. */
-        yindex = table->invperm[y];
-        if (cuddTestInteract(table,xindex,yindex)) {
-        isolated = table->vars[yindex]->ref == 1;
-        R -= table->subtables[y].keys - isolated;
-        }
-            size = cuddSwapInPlace(table,x,y);
-#ifdef DD_DEBUG
-            assert(table->subtables[x].next == (unsigned) x);
-            assert(table->subtables[y].next == (unsigned) y);
-#endif
-            if (size == 0) goto ddGroupSiftingDownOutOfMem;
-
-        /* Record move. */
-            move = (Move *) cuddDynamicAllocNode(table);
-            if (move == NULL) goto ddGroupSiftingDownOutOfMem;
-            move->x = x;
-            move->y = y;
-        move->flags = MTR_DEFAULT;
-            move->size = size;
-            move->next = *moves;
-            *moves = move;
-
-#ifdef DD_DEBUG
-            if (pr > 0) (void) fprintf(table->out,
-                       "ddGroupSiftingDown (2 single groups):\n");
-#endif
-            if ((double) size > (double) limitSize * table->maxGrowth)
-                return(1);
-            if (size < limitSize) limitSize = size;
-
-            x = y;
-            y = cuddNextHigh(table,x);
-        } else { /* Group move */
-        /* Update upper bound on node decrease: first phase. */
-        gxtop = table->subtables[x].next;
-        z = gxtop + 1;
-        do {
-        zindex = table->invperm[z];
-        if (zindex == xindex || cuddTestInteract(table,xindex,zindex)) {
-            isolated = table->vars[zindex]->ref == 1;
-            R -= table->subtables[z].keys - isolated;
-        }
-        z++;
-        } while (z <= gybot);
-            size = ddGroupMove(table,x,y,moves);
-            if (size == 0) goto ddGroupSiftingDownOutOfMem;
-            if ((double) size > (double) limitSize * table->maxGrowth)
-        return(1);
-            if (size < limitSize) limitSize = size;
-
-        /* Update upper bound on node decrease: second phase. */
-        gxtop = table->subtables[gybot].next;
-        for (z = gxtop + 1; z <= gybot; z++) {
-        zindex = table->invperm[z];
-        if (zindex == xindex || cuddTestInteract(table,xindex,zindex)) {
-            isolated = table->vars[zindex]->ref == 1;
-            R += table->subtables[z].keys - isolated;
-        }
-        }
-        }
-        x = gybot;
-        y = cuddNextHigh(table,x);
-    }
-
-    return(1);
-
-ddGroupSiftingDownOutOfMem:
-    while (*moves != NULL) {
-        move = (*moves)->next;
-        cuddDeallocNode(table, (DdNode *) *moves);
-        *moves = move;
-    }
-
-    return(0);
-
-} /* end of ddGroupSiftingDown */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Swaps two groups and records the move.]
-
-  Description [Swaps two groups and records the move. Returns the
-  number of keys in the DD table in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddGroupMove(
-  DdManager * table,
-  int  x,
-  int  y,
-  Move ** moves)
-{
-    Move *move;
-    int  size;
-    int  i,j,xtop,xbot,xsize,ytop,ybot,ysize,newxtop;
-    int  swapx,swapy;
-#if defined(DD_DEBUG) && defined(DD_VERBOSE)
-    int  initialSize,bestSize;
-#endif
-
-#if DD_DEBUG
-    /* We assume that x < y */
-    assert(x < y);
-#endif
-    /* Find top, bottom, and size for the two groups. */
-    xbot = x;
-    xtop = table->subtables[x].next;
-    xsize = xbot - xtop + 1;
-    ybot = y;
-    while ((unsigned) ybot < table->subtables[ybot].next)
-        ybot = table->subtables[ybot].next;
-    ytop = y;
-    ysize = ybot - ytop + 1;
-
-#if defined(DD_DEBUG) && defined(DD_VERBOSE)
-    initialSize = bestSize = table->keys - table->isolated;
-#endif
-    /* Sift the variables of the second group up through the first group */
-    for (i = 1; i <= ysize; i++) {
-        for (j = 1; j <= xsize; j++) {
-            size = cuddSwapInPlace(table,x,y);
-            if (size == 0) goto ddGroupMoveOutOfMem;
-#if defined(DD_DEBUG) && defined(DD_VERBOSE)
-        if (size < bestSize)
-        bestSize = size;
-#endif
-            swapx = x; swapy = y;
-            y = x;
-            x = cuddNextLow(table,y);
-        }
-        y = ytop + i;
-        x = cuddNextLow(table,y);
-    }
-#if defined(DD_DEBUG) && defined(DD_VERBOSE)
-    if ((bestSize < initialSize) && (bestSize < size))
-    (void) fprintf(table->out,"Missed local minimum: initialSize:%d  bestSize:%d  finalSize:%d\n",initialSize,bestSize,size);
-#endif
-
-    /* fix groups */
-    y = xtop; /* ytop is now where xtop used to be */
-    for (i = 0; i < ysize - 1; i++) {
-        table->subtables[y].next = cuddNextHigh(table,y);
-        y = cuddNextHigh(table,y);
-    }
-    table->subtables[y].next = xtop; /* y is bottom of its group, join */
-                                    /* it to top of its group */
-    x = cuddNextHigh(table,y);
-    newxtop = x;
-    for (i = 0; i < xsize - 1; i++) {
-        table->subtables[x].next = cuddNextHigh(table,x);
-        x = cuddNextHigh(table,x);
-    }
-    table->subtables[x].next = newxtop; /* x is bottom of its group, join */
-                                    /* it to top of its group */
-#ifdef DD_DEBUG
-    if (pr > 0) (void) fprintf(table->out,"ddGroupMove:\n");
-#endif
-
-    /* Store group move */
-    move = (Move *) cuddDynamicAllocNode(table);
-    if (move == NULL) goto ddGroupMoveOutOfMem;
-    move->x = swapx;
-    move->y = swapy;
-    move->flags = MTR_DEFAULT;
-    move->size = table->keys - table->isolated;
-    move->next = *moves;
-    *moves = move;
-
-    return(table->keys - table->isolated);
-
-ddGroupMoveOutOfMem:
-    while (*moves != NULL) {
-        move = (*moves)->next;
-        cuddDeallocNode(table, (DdNode *) *moves);
-        *moves = move;
-    }
-    return(0);
-
-} /* end of ddGroupMove */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Undoes the swap two groups.]
-
-  Description [Undoes the swap two groups.  Returns 1 in case of
-  success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddGroupMoveBackward(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    int size;
-    int i,j,xtop,xbot,xsize,ytop,ybot,ysize,newxtop;
-
-
-#if DD_DEBUG
-    /* We assume that x < y */
-    assert(x < y);
-#endif
-
-    /* Find top, bottom, and size for the two groups. */
-    xbot = x;
-    xtop = table->subtables[x].next;
-    xsize = xbot - xtop + 1;
-    ybot = y;
-    while ((unsigned) ybot < table->subtables[ybot].next)
-        ybot = table->subtables[ybot].next;
-    ytop = y;
-    ysize = ybot - ytop + 1;
-
-    /* Sift the variables of the second group up through the first group */
-    for (i = 1; i <= ysize; i++) {
-        for (j = 1; j <= xsize; j++) {
-            size = cuddSwapInPlace(table,x,y);
-            if (size == 0)
-                return(0);
-            y = x;
-            x = cuddNextLow(table,y);
-        }
-        y = ytop + i;
-        x = cuddNextLow(table,y);
-    }
-
-    /* fix groups */
-    y = xtop;
-    for (i = 0; i < ysize - 1; i++) {
-        table->subtables[y].next = cuddNextHigh(table,y);
-        y = cuddNextHigh(table,y);
-    }
-    table->subtables[y].next = xtop; /* y is bottom of its group, join */
-                                    /* to its top */
-    x = cuddNextHigh(table,y);
-    newxtop = x;
-    for (i = 0; i < xsize - 1; i++) {
-        table->subtables[x].next = cuddNextHigh(table,x);
-        x = cuddNextHigh(table,x);
-    }
-    table->subtables[x].next = newxtop; /* x is bottom of its group, join */
-                                    /* to its top */
-#ifdef DD_DEBUG
-    if (pr > 0) (void) fprintf(table->out,"ddGroupMoveBackward:\n");
-#endif
-
-    return(1);
-
-} /* end of ddGroupMoveBackward */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Determines the best position for a variables and returns
-  it there.]
-
-  Description [Determines the best position for a variables and returns
-  it there.  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddGroupSiftingBackward(
-  DdManager * table,
-  Move * moves,
-  int  size,
-  int  upFlag, 
-  int  lazyFlag)
-{
-    Move *move;
-    int  res;
-    Move *end_move;
-    int diff, tmp_diff;
-    int index, pairlev;
-
-    if (lazyFlag) {
-    end_move = NULL;
-
-    /* Find the minimum size, and the earliest position at which it
-        ** was achieved. */
-    for (move = moves; move != NULL; move = move->next) {
-        if (move->size < size) {
-        size = move->size;
-        end_move = move;
-        } else if (move->size == size) {
-        if (end_move == NULL) end_move = move;
-        } 
-    }
-
-    /* Find among the moves that give minimum size the one that
-        ** minimizes the distance from the corresponding variable. */
-    if (moves != NULL) {
-        diff = Cudd_ReadSize(table) + 1;
-        index = (upFlag == 1) ? 
-            table->invperm[moves->x] : table->invperm[moves->y];
-        pairlev = table->perm[Cudd_bddReadPairIndex(table, index)];
-
-        for (move = moves; move != NULL; move = move->next) {
-        if (move->size == size) {
-            if (upFlag == 1) {
-            tmp_diff = (move->x > pairlev) ? 
-                    move->x - pairlev : pairlev - move->x;
-            } else {
-            tmp_diff = (move->y > pairlev) ?
-                    move->y - pairlev : pairlev - move->y;
-            }
-            if (tmp_diff < diff) {
-            diff = tmp_diff;
-            end_move = move;
-            } 
-        }
-        }
-    }
-    } else {
-    /* Find the minimum size. */
-    for (move = moves; move != NULL; move = move->next) {
-        if (move->size < size) {
-        size = move->size;
-        } 
-    }
-    }
-
-    /* In case of lazy sifting, end_move identifies the position at
-    ** which we want to stop.  Otherwise, we stop as soon as we meet
-    ** the minimum size. */
-    for (move = moves; move != NULL; move = move->next) {
-    if (lazyFlag) {
-        if (move == end_move) return(1);
-    } else {
-        if (move->size == size) return(1);
-    }
-        if ((table->subtables[move->x].next == move->x) &&
-    (table->subtables[move->y].next == move->y)) {
-            res = cuddSwapInPlace(table,(int)move->x,(int)move->y);
-            if (!res) return(0);
-#ifdef DD_DEBUG
-            if (pr > 0) (void) fprintf(table->out,"ddGroupSiftingBackward:\n");
-            assert(table->subtables[move->x].next == move->x);
-            assert(table->subtables[move->y].next == move->y);
-#endif
-        } else { /* Group move necessary */
-        if (move->flags == MTR_NEWNODE) {
-        ddDissolveGroup(table,(int)move->x,(int)move->y);
-        } else {
-        res = ddGroupMoveBackward(table,(int)move->x,(int)move->y);
-        if (!res) return(0);
-        }
-        }
-
-    }
-
-    return(1);
-
-} /* end of ddGroupSiftingBackward */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Merges groups in the DD table.]
-
-  Description [Creates a single group from low to high and adjusts the
-  index field of the tree node.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static void
-ddMergeGroups(
-  DdManager * table,
-  MtrNode * treenode,
-  int  low,
-  int  high)
-{
-    int i;
-    MtrNode *auxnode;
-    int saveindex;
-    int newindex;
-
-    /* Merge all variables from low to high in one group, unless
-    ** this is the topmost group. In such a case we do not merge lest
-    ** we lose the symmetry information. */
-    if (treenode != table->tree) {
-    for (i = low; i < high; i++)
-        table->subtables[i].next = i+1;
-    table->subtables[high].next = low;
-    }
-
-    /* Adjust the index fields of the tree nodes. If a node is the
-    ** first child of its parent, then the parent may also need adjustment. */
-    saveindex = treenode->index;
-    newindex = table->invperm[low];
-    auxnode = treenode;
-    do {
-    auxnode->index = newindex;
-    if (auxnode->parent == NULL ||
-        (int) auxnode->parent->index != saveindex)
-        break;
-    auxnode = auxnode->parent;
-    } while (1);
-    return;
-
-} /* end of ddMergeGroups */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Dissolves a group in the DD table.]
-
-  Description [x and y are variables in a group to be cut in two. The cut
-  is to pass between x and y.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static void
-ddDissolveGroup(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    int topx;
-    int boty;
-
-    /* find top and bottom of the two groups */
-    boty = y;
-    while ((unsigned) boty < table->subtables[boty].next)
-    boty = table->subtables[boty].next;
-    
-    topx = table->subtables[boty].next;
-
-    table->subtables[boty].next = y;
-    table->subtables[x].next = topx;
-
-    return;
-
-} /* end of ddDissolveGroup */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Pretends to check two variables for aggregation.]
-
-  Description [Pretends to check two variables for aggregation. Always
-  returns 0.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddNoCheck(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    return(0);
-
-} /* end of ddNoCheck */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks two variables for aggregation.]
-
-  Description [Checks two variables for aggregation. The check is based
-  on the second difference of the number of nodes as a function of the
-  layer. If the second difference is lower than a given threshold
-  (typically negative) then the two variables should be aggregated.
-  Returns 1 if the two variables pass the test; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddSecDiffCheck(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    double Nx,Nx_1;
-    double Sx;
-    double threshold;
-    int    xindex,yindex;
-
-    if (x==0) return(0);
-
-#ifdef DD_STATS
-    secdiffcalls++;
-#endif
-    Nx = (double) table->subtables[x].keys;
-    Nx_1 = (double) table->subtables[x-1].keys;
-    Sx = (table->subtables[y].keys/Nx) - (Nx/Nx_1);
-
-    threshold = table->recomb / 100.0;
-    if (Sx < threshold) {
-    xindex = table->invperm[x];
-    yindex = table->invperm[y];
-    if (cuddTestInteract(table,xindex,yindex)) {
-#if defined(DD_DEBUG) && defined(DD_VERBOSE)
-        (void) fprintf(table->out,
-               "Second difference for %d = %g Pos(%d)\n",
-               table->invperm[x],Sx,x);
-#endif
-#ifdef DD_STATS
-        secdiff++;
-#endif
-        return(1);
-    } else {
-#ifdef DD_STATS
-        secdiffmisfire++;
-#endif
-        return(0);
-    }
-
-    }
-    return(0);
-
-} /* end of ddSecDiffCheck */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks for extended symmetry of x and y.]
-
-  Description [Checks for extended symmetry of x and y. Returns 1 in
-  case of extended symmetry; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddExtSymmCheck(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    DdNode *f,*f0,*f1,*f01,*f00,*f11,*f10;
-    DdNode *one;
-    int comple;        /* f0 is complemented */
-    int notproj;    /* f is not a projection function */
-    int arccount;    /* number of arcs from layer x to layer y */
-    int TotalRefCount;    /* total reference count of layer y minus 1 */
-    int counter;    /* number of nodes of layer x that are allowed */
-                /* to violate extended symmetry conditions */
-    int arccounter;    /* number of arcs into layer y that are allowed */
-            /* to come from layers other than x */
-    int i;
-    int xindex;
-    int yindex;
-    int res;
-    int slots;
-    DdNodePtr *list;
-    DdNode *sentinel = &(table->sentinel);
-
-    xindex = table->invperm[x];
-    yindex = table->invperm[y];
-
-    /* If the two variables do not interact, we do not want to merge them. */
-    if (!cuddTestInteract(table,xindex,yindex))
-    return(0);
-
-#ifdef DD_DEBUG
-    /* Checks that x and y do not contain just the projection functions.
-    ** With the test on interaction, these test become redundant,
-    ** because an isolated projection function does not interact with
-    ** any other variable.
-    */
-    if (table->subtables[x].keys == 1) {
-    assert(table->vars[xindex]->ref != 1);
-    }
-    if (table->subtables[y].keys == 1) {
-    assert(table->vars[yindex]->ref != 1);
-    }
-#endif
-
-#ifdef DD_STATS
-    extsymmcalls++;
-#endif
-
-    arccount = 0;
-    counter = (int) (table->subtables[x].keys *
-          (table->symmviolation/100.0) + 0.5);
-    one = DD_ONE(table);
-
-    slots = table->subtables[x].slots;
-    list = table->subtables[x].nodelist;
-    for (i = 0; i < slots; i++) {
-    f = list[i];
-    while (f != sentinel) {
-        /* Find f1, f0, f11, f10, f01, f00. */
-        f1 = cuddT(f);
-        f0 = Cudd_Regular(cuddE(f));
-        comple = Cudd_IsComplement(cuddE(f));
-        notproj = f1 != one || f0 != one || f->ref != (DdHalfWord) 1;
-        if (f1->index == yindex) {
-        arccount++;
-        f11 = cuddT(f1); f10 = cuddE(f1);
-        } else {
-        if ((int) f0->index != yindex) {
-            /* If f is an isolated projection function it is
-            ** allowed to bypass layer y.
-            */
-            if (notproj) {
-            if (counter == 0)
-                return(0);
-            counter--; /* f bypasses layer y */
-            }
-        }
-        f11 = f10 = f1;
-        }
-        if ((int) f0->index == yindex) {
-        arccount++;
-        f01 = cuddT(f0); f00 = cuddE(f0);
-        } else {
-        f01 = f00 = f0;
-        }
-        if (comple) {
-        f01 = Cudd_Not(f01);
-        f00 = Cudd_Not(f00);
-        }
-
-        /* Unless we are looking at a projection function
-        ** without external references except the one from the
-        ** table, we insist that f01 == f10 or f11 == f00
-        */
-        if (notproj) {
-        if (f01 != f10 && f11 != f00) {
-            if (counter == 0)
-            return(0);
-            counter--;
-        }
-        }
-
-        f = f->next;
-    } /* while */
-    } /* for */
-
-    /* Calculate the total reference counts of y */
-    TotalRefCount = -1;    /* -1 for projection function */
-    slots = table->subtables[y].slots;
-    list = table->subtables[y].nodelist;
-    for (i = 0; i < slots; i++) {
-    f = list[i];
-    while (f != sentinel) {
-        TotalRefCount += f->ref;
-        f = f->next;
-    }
-    }
-
-    arccounter = (int) (table->subtables[y].keys *
-         (table->arcviolation/100.0) + 0.5);
-    res = arccount >= TotalRefCount - arccounter;
-
-#if defined(DD_DEBUG) && defined(DD_VERBOSE)
-    if (res) {
-    (void) fprintf(table->out,
-               "Found extended symmetry! x = %d\ty = %d\tPos(%d,%d)\n",
-               xindex,yindex,x,y);
-    }
-#endif
-
-#ifdef DD_STATS
-    if (res)
-    extsymm++;
-#endif
-    return(res);
-
-} /* end ddExtSymmCheck */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks for grouping of x and y.]
-
-  Description [Checks for grouping of x and y. Returns 1 in
-  case of grouping; 0 otherwise. This function is used for lazy sifting.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddVarGroupCheck(
-  DdManager * table,
-  int x,
-  int y)
-{
-    int xindex = table->invperm[x];
-    int yindex = table->invperm[y];
-
-    if (Cudd_bddIsVarToBeUngrouped(table, xindex)) return(0);
-
-    if (Cudd_bddReadPairIndex(table, xindex) == yindex) {
-    if (ddIsVarHandled(table, xindex) ||
-        ddIsVarHandled(table, yindex)) {
-        if (Cudd_bddIsVarToBeGrouped(table, xindex) ||
-        Cudd_bddIsVarToBeGrouped(table, yindex) ) {
-        if (table->keys - table->isolated <= originalSize) {
-            return(1);
-        }
-        }
-    }
-    }
-
-    return(0);
-
-} /* end of ddVarGroupCheck */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sets a variable to already handled.]
-
-  Description [Sets a variable to already handled. This function is used
-  for lazy sifting.]
-
-  SideEffects [none]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-ddSetVarHandled(
-  DdManager *dd,
-  int index)
-{
-    if (index >= dd->size || index < 0) return(0);
-    dd->subtables[dd->perm[index]].varHandled = 1;
-    return(1);
-
-} /* end of ddSetVarHandled */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Resets a variable to be processed.]
-
-  Description [Resets a variable to be processed. This function is used
-  for lazy sifting.]
-
-  SideEffects [none]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-ddResetVarHandled(
-  DdManager *dd,
-  int index)
-{
-    if (index >= dd->size || index < 0) return(0);
-    dd->subtables[dd->perm[index]].varHandled = 0;
-    return(1);
-
-} /* end of ddResetVarHandled */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks whether a variables is already handled.]
-
-  Description [Checks whether a variables is already handled. This
-  function is used for lazy sifting.]
-
-  SideEffects [none]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-ddIsVarHandled(
-  DdManager *dd,
-  int index)
-{
-    if (index >= dd->size || index < 0) return(-1);
-    return dd->subtables[dd->perm[index]].varHandled;
-
-} /* end of ddIsVarHandled */
diff --git a/src/bdd/cudd/cuddHarwell.c b/src/bdd/cudd/cuddHarwell.c
deleted file mode 100644
index 063f1922..00000000
--- a/src/bdd/cudd/cuddHarwell.c
+++ /dev/null
@@ -1,541 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddHarwell.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Function to read a matrix in Harwell format.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_addHarwell()
-        </ul>
-    ]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddHarwell.c,v 1.1.1.1 2003/02/24 22:23:52 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis    [Reads in a matrix in the format of the Harwell-Boeing
-  benchmark suite.]
-
-  Description [Reads in a matrix in the format of the Harwell-Boeing
-  benchmark suite. The variables are ordered as follows:
-  <blockquote>
-  x\[0\] y\[0\] x\[1\] y\[1\] ...
-  </blockquote>
-  0 is the most significant bit.  On input, nx and ny hold the numbers
-  of row and column variables already in existence. On output, they
-  hold the numbers of row and column variables actually used by the
-  matrix.  m and n are set to the numbers of rows and columns of the
-  matrix.  Their values on input are immaterial.  Returns 1 on
-  success; 0 otherwise. The ADD for the sparse matrix is returned in
-  E, and its reference count is > 0.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addRead Cudd_bddRead]
-
-******************************************************************************/
-int
-Cudd_addHarwell(
-  FILE * fp /* pointer to the input file */,
-  DdManager * dd /* DD manager */,
-  DdNode ** E /* characteristic function of the graph */,
-  DdNode *** x /* array of row variables */,
-  DdNode *** y /* array of column variables */,
-  DdNode *** xn /* array of complemented row variables */,
-  DdNode *** yn_ /* array of complemented column variables */,
-  int * nx /* number or row variables */,
-  int * ny /* number or column variables */,
-  int * m /* number of rows */,
-  int * n /* number of columns */,
-  int  bx /* first index of row variables */,
-  int  sx /* step of row variables */,
-  int  by /* first index of column variables */,
-  int  sy /* step of column variables */,
-  int  pr /* verbosity level */)
-{
-    DdNode *one, *zero;
-    DdNode *w;
-    DdNode *cubex, *cubey, *minterm1;
-    int u, v, err, i, j, nv;
-    double val;
-    DdNode **lx, **ly, **lxn, **lyn;    /* local copies of x, y, xn, yn_ */
-    int lnx, lny;            /* local copies of nx and ny */
-    char title[73], key[9], mxtype[4], rhstyp[4];
-    int totcrd, ptrcrd, indcrd, valcrd, rhscrd,
-        nrow, ncol, nnzero, neltvl,
-    nrhs, nrhsix;
-    int *colptr, *rowind;
-#if 0
-    int nguess, nexact;
-    int    *rhsptr, *rhsind;
-#endif
-
-    if (*nx < 0 || *ny < 0) return(0);
-
-    one = DD_ONE(dd);
-    zero = DD_ZERO(dd);
-
-    /* Read the header */
-    err = fscanf(fp, "%72c %8c", title, key);
-    if (err == EOF) {
-    return(0);
-    } else if (err != 2) {
-        return(0);
-    }
-    title[72] = (char) 0;
-    key[8] = (char) 0;
-
-    err = fscanf(fp, "%d %d %d %d %d", &totcrd, &ptrcrd, &indcrd,
-    &valcrd, &rhscrd);
-    if (err == EOF) {
-    return(0);
-    } else if (err != 5) {
-        return(0);
-    }
-
-    err = fscanf(fp, "%3s %d %d %d %d", mxtype, &nrow, &ncol,
-    &nnzero, &neltvl);
-    if (err == EOF) {
-    return(0);
-    } else if (err != 5) {
-        return(0);
-    }
-
-    /* Skip FORTRAN formats */
-    if (rhscrd == 0) {
-    err = fscanf(fp, "%*s %*s %*s \n");
-    } else {
-    err = fscanf(fp, "%*s %*s %*s %*s \n");
-    }
-    if (err == EOF) {
-    return(0);
-    } else if (err != 0) {
-        return(0);
-    }
-
-    /* Print out some stuff if requested to be verbose */
-    if (pr>0) {
-    (void) fprintf(dd->out,"%s: type %s, %d rows, %d columns, %d entries\n", key,
-    mxtype, nrow, ncol, nnzero);
-    if (pr>1) (void) fprintf(dd->out,"%s\n", title);
-    }
-
-    /* Check matrix type */
-    if (mxtype[0] != 'R' || mxtype[1] != 'U' || mxtype[2] != 'A') {
-    (void) fprintf(dd->err,"%s: Illegal matrix type: %s\n",
-               key, mxtype);
-    return(0);
-    }
-    if (neltvl != 0) return(0);
-
-    /* Read optional 5-th line */
-    if (rhscrd != 0) {
-    err = fscanf(fp, "%3c %d %d", rhstyp, &nrhs, &nrhsix);
-    if (err == EOF) {
-        return(0);
-    } else if (err != 3) {
-        return(0);
-    }
-    rhstyp[3] = (char) 0;
-    if (rhstyp[0] != 'F') {
-        (void) fprintf(dd->err,
-        "%s: Sparse right-hand side not yet supported\n", key);
-        return(0);
-    }
-    if (pr>0) (void) fprintf(dd->out,"%d right-hand side(s)\n", nrhs);
-    } else {
-    nrhs = 0;
-    }
-
-    /* Compute the number of variables */
-
-    /* row and column numbers start from 0 */
-    u = nrow - 1;
-    for (i=0; u > 0; i++) {
-    u >>= 1;
-    }
-    lnx = i;
-    if (nrhs == 0) {
-    v = ncol - 1;
-    } else {
-    v = 2* (ddMax(ncol, nrhs) - 1);
-    }
-    for (i=0; v > 0; i++) {
-    v >>= 1;
-    }
-    lny = i;
-
-    /* Allocate or reallocate arrays for variables as needed */
-    if (*nx == 0) {
-    if (lnx > 0) {
-        *x = lx = ALLOC(DdNode *,lnx);
-        if (lx == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        *xn = lxn =  ALLOC(DdNode *,lnx);
-        if (lxn == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-    } else {
-        *x = *xn = NULL;
-    }
-    } else if (lnx > *nx) {
-    *x = lx = REALLOC(DdNode *, *x, lnx);
-    if (lx == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    *xn = lxn =  REALLOC(DdNode *, *xn, lnx);
-    if (lxn == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    } else {
-    lx = *x;
-    lxn = *xn;
-    }
-    if (*ny == 0) {
-    if (lny >0) {
-        *y = ly = ALLOC(DdNode *,lny);
-        if (ly == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        *yn_ = lyn = ALLOC(DdNode *,lny);
-        if (lyn == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-    } else {
-        *y = *yn_ = NULL;
-    }
-    } else if (lny > *ny) {
-    *y = ly = REALLOC(DdNode *, *y, lny);
-    if (ly == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    *yn_ = lyn = REALLOC(DdNode *, *yn_, lny);
-    if (lyn == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    } else {
-    ly = *y;
-    lyn = *yn_;
-    }
-
-    /* Create new variables as needed */
-    for (i= *nx,nv=bx+(*nx)*sx; i < lnx; i++,nv+=sx) {
-    do {
-        dd->reordered = 0;
-        lx[i] = cuddUniqueInter(dd, nv, one, zero);
-    } while (dd->reordered == 1);
-    if (lx[i] == NULL) return(0);
-        cuddRef(lx[i]);
-    do {
-        dd->reordered = 0;
-        lxn[i] = cuddUniqueInter(dd, nv, zero, one);
-    } while (dd->reordered == 1);
-    if (lxn[i] == NULL) return(0);
-        cuddRef(lxn[i]);
-    }
-    for (i= *ny,nv=by+(*ny)*sy; i < lny; i++,nv+=sy) {
-    do {
-        dd->reordered = 0;
-        ly[i] = cuddUniqueInter(dd, nv, one, zero);
-    } while (dd->reordered == 1);
-    if (ly[i] == NULL) return(0);
-    cuddRef(ly[i]);
-    do {
-        dd->reordered = 0;
-        lyn[i] = cuddUniqueInter(dd, nv, zero, one);
-    } while (dd->reordered == 1);
-    if (lyn[i] == NULL) return(0);
-    cuddRef(lyn[i]);
-    }
-
-    /* Update matrix parameters */
-    *nx = lnx;
-    *ny = lny;
-    *m = nrow;
-    if (nrhs == 0) {
-    *n = ncol;
-    } else {
-    *n = (1 << (lny - 1)) + nrhs;
-    }
-    
-    /* Read structure data */
-    colptr = ALLOC(int, ncol+1);
-    if (colptr == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    rowind = ALLOC(int, nnzero);
-    if (rowind == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-
-    for (i=0; i<ncol+1; i++) {
-    err = fscanf(fp, " %d ", &u);
-    if (err == EOF){ 
-        FREE(colptr);
-        FREE(rowind);
-        return(0);
-    } else if (err != 1) {
-        FREE(colptr);
-        FREE(rowind);
-        return(0);
-    }
-    colptr[i] = u - 1;
-    }
-    if (colptr[0] != 0) {
-    (void) fprintf(dd->err,"%s: Unexpected colptr[0] (%d)\n",
-               key,colptr[0]);
-    FREE(colptr);
-    FREE(rowind);
-    return(0);
-    }
-    for (i=0; i<nnzero; i++) {
-    err = fscanf(fp, " %d ", &u);
-    if (err == EOF){ 
-        FREE(colptr);
-        FREE(rowind);
-        return(0);
-    } else if (err != 1) {
-        FREE(colptr);
-        FREE(rowind);
-        return(0);
-    }
-    rowind[i] = u - 1;
-    }
-
-    *E = zero; cuddRef(*E);
-
-    for (j=0; j<ncol; j++) {
-    v = j;
-    cubey = one; cuddRef(cubey);
-    for (nv = lny - 1; nv>=0; nv--) {
-        if (v & 1) {
-        w = Cudd_addApply(dd, Cudd_addTimes, cubey, ly[nv]);
-        } else {
-        w = Cudd_addApply(dd, Cudd_addTimes, cubey, lyn[nv]);
-        }
-        if (w == NULL) {
-        Cudd_RecursiveDeref(dd, cubey);
-        FREE(colptr);
-        FREE(rowind);
-        return(0);
-        }
-        cuddRef(w);
-        Cudd_RecursiveDeref(dd, cubey);
-        cubey = w;
-        v >>= 1;
-    }
-    for (i=colptr[j]; i<colptr[j+1]; i++) {
-        u = rowind[i];
-        err = fscanf(fp, " %lf ", &val);
-        if (err == EOF || err != 1){ 
-        Cudd_RecursiveDeref(dd, cubey);
-        FREE(colptr);
-        FREE(rowind);
-        return(0);
-        }
-        /* Create new Constant node if necessary */
-        cubex = cuddUniqueConst(dd, (CUDD_VALUE_TYPE) val);
-        if (cubex == NULL) {
-        Cudd_RecursiveDeref(dd, cubey);
-        FREE(colptr);
-        FREE(rowind);
-        return(0);
-        }
-        cuddRef(cubex);
-
-        for (nv = lnx - 1; nv>=0; nv--) {
-        if (u & 1) {
-            w = Cudd_addApply(dd, Cudd_addTimes, cubex, lx[nv]);
-        } else { 
-            w = Cudd_addApply(dd, Cudd_addTimes, cubex, lxn[nv]);
-        }
-        if (w == NULL) {
-            Cudd_RecursiveDeref(dd, cubey);
-            Cudd_RecursiveDeref(dd, cubex);
-            FREE(colptr);
-            FREE(rowind);
-            return(0);
-        }
-        cuddRef(w);
-        Cudd_RecursiveDeref(dd, cubex);
-        cubex = w;
-        u >>= 1;
-        }
-        minterm1 = Cudd_addApply(dd, Cudd_addTimes, cubey, cubex);
-        if (minterm1 == NULL) {
-        Cudd_RecursiveDeref(dd, cubey);
-        Cudd_RecursiveDeref(dd, cubex);
-        FREE(colptr);
-        FREE(rowind);
-        return(0);
-        }
-        cuddRef(minterm1);
-        Cudd_RecursiveDeref(dd, cubex);
-        w = Cudd_addApply(dd, Cudd_addPlus, *E, minterm1);
-        if (w == NULL) {
-        Cudd_RecursiveDeref(dd, cubey);
-        FREE(colptr);
-        FREE(rowind);
-        return(0);
-        }
-        cuddRef(w);
-        Cudd_RecursiveDeref(dd, minterm1);
-        Cudd_RecursiveDeref(dd, *E);
-        *E = w;
-    }
-    Cudd_RecursiveDeref(dd, cubey);
-    }
-    FREE(colptr);
-    FREE(rowind);
-
-    /* Read right-hand sides */
-    for (j=0; j<nrhs; j++) {
-    v = j + (1<< (lny-1));
-    cubey = one; cuddRef(cubey);
-    for (nv = lny - 1; nv>=0; nv--) {
-        if (v & 1) {
-        w = Cudd_addApply(dd, Cudd_addTimes, cubey, ly[nv]);
-        } else {
-        w = Cudd_addApply(dd, Cudd_addTimes, cubey, lyn[nv]);
-        }
-        if (w == NULL) {
-        Cudd_RecursiveDeref(dd, cubey);
-        return(0);
-        }
-        cuddRef(w);
-        Cudd_RecursiveDeref(dd, cubey);
-        cubey = w;
-        v >>= 1;
-    }
-    for (i=0; i<nrow; i++) {
-        u = i;
-        err = fscanf(fp, " %lf ", &val);
-        if (err == EOF || err != 1){ 
-        Cudd_RecursiveDeref(dd, cubey);
-        return(0);
-        }
-        /* Create new Constant node if necessary */
-        if (val == (double) 0.0) continue;
-        cubex = cuddUniqueConst(dd, (CUDD_VALUE_TYPE) val);
-        if (cubex == NULL) {
-        Cudd_RecursiveDeref(dd, cubey);
-        return(0);
-        }
-        cuddRef(cubex);
-
-        for (nv = lnx - 1; nv>=0; nv--) {
-        if (u & 1) {
-           w = Cudd_addApply(dd, Cudd_addTimes, cubex, lx[nv]);
-        } else { 
-            w = Cudd_addApply(dd, Cudd_addTimes, cubex, lxn[nv]);
-        }
-        if (w == NULL) {
-            Cudd_RecursiveDeref(dd, cubey);
-            Cudd_RecursiveDeref(dd, cubex);
-            return(0);
-        }
-        cuddRef(w);
-        Cudd_RecursiveDeref(dd, cubex);
-        cubex = w;
-        u >>= 1;
-        }
-        minterm1 = Cudd_addApply(dd, Cudd_addTimes, cubey, cubex);
-        if (minterm1 == NULL) {
-        Cudd_RecursiveDeref(dd, cubey);
-        Cudd_RecursiveDeref(dd, cubex);
-        return(0);
-        }
-        cuddRef(minterm1);
-        Cudd_RecursiveDeref(dd, cubex);
-        w = Cudd_addApply(dd, Cudd_addPlus, *E, minterm1);
-        if (w == NULL) {
-        Cudd_RecursiveDeref(dd, cubey);
-        return(0);
-        }
-        cuddRef(w);
-        Cudd_RecursiveDeref(dd, minterm1);
-        Cudd_RecursiveDeref(dd, *E);
-        *E = w;
-    }
-    Cudd_RecursiveDeref(dd, cubey);
-    }
-
-    return(1);
-
-} /* end of Cudd_addHarwell */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
diff --git a/src/bdd/cudd/cuddInit.c b/src/bdd/cudd/cuddInit.c
deleted file mode 100644
index 8e06a425..00000000
--- a/src/bdd/cudd/cuddInit.c
+++ /dev/null
@@ -1,283 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddInit.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions to initialize and shut down the DD manager.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_Init()
-        <li> Cudd_Quit()
-        </ul>
-           Internal procedures included in this module:
-        <ul>
-        <li> cuddZddInitUniv()
-        <li> cuddZddFreeUniv()
-        </ul>
-          ]
-
-  SeeAlso     []
-
-  Author      [Fabio Somenzi]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#define CUDD_MAIN
-#include    "cuddInt.h"
-#undef CUDD_MAIN
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddInit.c,v 1.1.1.1 2003/02/24 22:23:52 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis    [Creates a new DD manager.]
-
-  Description [Creates a new DD manager, initializes the table, the
-  basic constants and the projection functions. If maxMemory is 0,
-  Cudd_Init decides suitable values for the maximum size of the cache
-  and for the limit for fast unique table growth based on the available
-  memory. Returns a pointer to the manager if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_Quit]
-
-******************************************************************************/
-DdManager *
-Cudd_Init(
-  unsigned int numVars /* initial number of BDD variables (i.e., subtables) */,
-  unsigned int numVarsZ /* initial number of ZDD variables (i.e., subtables) */,
-  unsigned int numSlots /* initial size of the unique tables */,
-  unsigned int cacheSize /* initial size of the cache */,
-  unsigned long maxMemory /* target maximum memory occupation */)
-{
-    DdManager *unique;
-    int i,result;
-    DdNode *one, *zero;
-    unsigned int maxCacheSize;
-    unsigned int looseUpTo;
-    extern void (*MMoutOfMemory)(long);
-    void (*saveHandler)(long);
-
-    if (maxMemory == 0) {
-    maxMemory = getSoftDataLimit();
-    }
-    looseUpTo = (unsigned int) ((maxMemory / sizeof(DdNode)) /
-                DD_MAX_LOOSE_FRACTION);
-    unique = cuddInitTable(numVars,numVarsZ,numSlots,looseUpTo);
-    unique->maxmem = (unsigned) maxMemory / 10 * 9;
-    if (unique == NULL) return(NULL);
-    maxCacheSize = (unsigned int) ((maxMemory / sizeof(DdCache)) /
-                   DD_MAX_CACHE_FRACTION);
-    result = cuddInitCache(unique,cacheSize,maxCacheSize);
-    if (result == 0) return(NULL);
-
-    saveHandler = MMoutOfMemory;
-    MMoutOfMemory = Cudd_OutOfMem;
-    unique->stash = ALLOC(char,(maxMemory / DD_STASH_FRACTION) + 4);
-    MMoutOfMemory = saveHandler;
-    if (unique->stash == NULL) {
-    (void) fprintf(unique->err,"Unable to set aside memory\n");
-    }
-
-    /* Initialize constants. */
-    unique->one = cuddUniqueConst(unique,1.0);
-    if (unique->one == NULL) return(0);
-    cuddRef(unique->one);
-    unique->zero = cuddUniqueConst(unique,0.0);
-    if (unique->zero == NULL) return(0);
-    cuddRef(unique->zero);
-#ifdef HAVE_IEEE_754
-    if (DD_PLUS_INF_VAL != DD_PLUS_INF_VAL * 3 ||
-    DD_PLUS_INF_VAL != DD_PLUS_INF_VAL / 3) {
-    (void) fprintf(unique->err,"Warning: Crippled infinite values\n");
-    (void) fprintf(unique->err,"Recompile without -DHAVE_IEEE_754\n");
-    }
-#endif
-    unique->plusinfinity = cuddUniqueConst(unique,DD_PLUS_INF_VAL);
-    if (unique->plusinfinity == NULL) return(0);
-    cuddRef(unique->plusinfinity);
-    unique->minusinfinity = cuddUniqueConst(unique,DD_MINUS_INF_VAL);
-    if (unique->minusinfinity == NULL) return(0);
-    cuddRef(unique->minusinfinity);
-    unique->background = unique->zero;
-
-    /* The logical zero is different from the CUDD_VALUE_TYPE zero! */
-    one = unique->one;
-    zero = Cudd_Not(one);
-    /* Create the projection functions. */
-    unique->vars = ALLOC(DdNodePtr,unique->maxSize);
-    if (unique->vars == NULL) {
-    unique->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    for (i = 0; i < unique->size; i++) {
-    unique->vars[i] = cuddUniqueInter(unique,i,one,zero);
-    if (unique->vars[i] == NULL) return(0);
-    cuddRef(unique->vars[i]);
-    }
-
-    if (unique->sizeZ)
-    cuddZddInitUniv(unique);
-
-    unique->memused += sizeof(DdNode *) * unique->maxSize;
-
-    return(unique);
-
-} /* end of Cudd_Init */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Deletes resources associated with a DD manager.]
-
-  Description [Deletes resources associated with a DD manager and
-  resets the global statistical counters. (Otherwise, another manaqger
-  subsequently created would inherit the stats of this one.)]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_Init]
-
-******************************************************************************/
-void
-Cudd_Quit(
-  DdManager * unique)
-{
-    if (unique->stash != NULL) FREE(unique->stash);
-    cuddFreeTable(unique);
-
-} /* end of Cudd_Quit */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Initializes the ZDD universe.]
-
-  Description [Initializes the ZDD universe. Returns 1 if successful; 0
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddZddFreeUniv]
-
-******************************************************************************/
-int
-cuddZddInitUniv(
-  DdManager * zdd)
-{
-    DdNode    *p, *res;
-    int        i;
-
-    zdd->univ = ALLOC(DdNodePtr, zdd->sizeZ);
-    if (zdd->univ == NULL) {
-    zdd->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-
-    res = DD_ONE(zdd);
-    cuddRef(res);
-    for (i = zdd->sizeZ - 1; i >= 0; i--) {
-    unsigned int index = zdd->invpermZ[i];
-    p = res;
-    res = cuddUniqueInterZdd(zdd, index, p, p);
-    if (res == NULL) {
-        Cudd_RecursiveDerefZdd(zdd,p);
-        FREE(zdd->univ);
-        return(0);
-    }
-    cuddRef(res);
-    cuddDeref(p);
-    zdd->univ[i] = res;
-    }
-
-#ifdef DD_VERBOSE
-    cuddZddP(zdd, zdd->univ[0]);
-#endif
-
-    return(1);
-
-} /* end of cuddZddInitUniv */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Frees the ZDD universe.]
-
-  Description [Frees the ZDD universe.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddZddInitUniv]
-
-******************************************************************************/
-void
-cuddZddFreeUniv(
-  DdManager * zdd)
-{
-    if (zdd->univ) {
-    Cudd_RecursiveDerefZdd(zdd, zdd->univ[0]);
-    FREE(zdd->univ);
-    }
-
-} /* end of cuddZddFreeUniv */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
diff --git a/src/bdd/cudd/cuddInt.h b/src/bdd/cudd/cuddInt.h
deleted file mode 100644
index a5d0cf16..00000000
--- a/src/bdd/cudd/cuddInt.h
+++ /dev/null
@@ -1,1133 +0,0 @@
-/**CHeaderFile*****************************************************************
-
-  FileName    [cuddInt.h]
-
-  PackageName [cudd]
-
-  Synopsis    [Internal data structures of the CUDD package.]
-
-  Description []
-
-  SeeAlso     []
-
-  Author      [Fabio Somenzi]
-
-  Copyright [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-  Revision    [$Id: cuddInt.h,v 1.1.1.1 2003/02/24 22:23:52 wjiang Exp $]
-
-******************************************************************************/
-
-#ifndef _CUDDINT
-#define _CUDDINT
-
-
-/*---------------------------------------------------------------------------*/
-/* Nested includes                                                           */
-/*---------------------------------------------------------------------------*/
-
-#ifdef DD_MIS
-#include "array.h"
-#include "list.h"
-#include "st.h"
-#include "espresso.h"
-#include "node.h"
-#ifdef SIS
-#include "graph.h"
-#include "astg.h"
-#endif
-#include "network.h"
-#endif
-
-#include <math.h>
-#include "cudd.h"
-#include "st.h"
-
-#if defined(__GNUC__)
-# define DD_INLINE __inline__
-# if (__GNUC__ >2 || __GNUC_MINOR__ >=7)
-#   define DD_UNUSED __attribute__ ((__unused__))
-# else
-#   define DD_UNUSED
-# endif
-#else
-# if defined(__cplusplus)
-#   define DD_INLINE inline
-# else
-#   define DD_INLINE
-# endif
-# define DD_UNUSED
-#endif
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#define DD_MAXREF        ((DdHalfWord) ~0)
-
-#define DD_DEFAULT_RESIZE    10    /* how many extra variables */
-                    /* should be added when resizing */
-#define DD_MEM_CHUNK        1022
-
-/* These definitions work for CUDD_VALUE_TYPE == double */
-#define DD_ONE_VAL        (1.0)
-#define DD_ZERO_VAL        (0.0)
-#define DD_EPSILON        (1.0e-12)
-
-/* The definitions of +/- infinity in terms of HUGE_VAL work on
-** the DECstations and on many other combinations of OS/compiler.
-*/
-#ifdef HAVE_IEEE_754
-#  define DD_PLUS_INF_VAL    (HUGE_VAL)
-#else
-#  define DD_PLUS_INF_VAL    (10e301)
-#  define DD_CRI_HI_MARK    (10e150)
-#  define DD_CRI_LO_MARK    (-(DD_CRI_HI_MARK))
-#endif
-#define DD_MINUS_INF_VAL    (-(DD_PLUS_INF_VAL))
-
-#define DD_NON_CONSTANT        ((DdNode *) 1)    /* for Cudd_bddIteConstant */
-
-/* Unique table and cache management constants. */
-#define DD_MAX_SUBTABLE_DENSITY 4    /* tells when to resize a subtable */
-/* gc when this percent are dead (measured w.r.t. slots, not keys)
-** The first limit (LO) applies normally. The second limit applies when
-** the package believes more space for the unique table (i.e., more dead
-** nodes) would improve performance, and the unique table is not already
-** too large. The third limit applies when memory is low.
-*/
-#define DD_GC_FRAC_LO        DD_MAX_SUBTABLE_DENSITY * 0.25
-#define DD_GC_FRAC_HI        DD_MAX_SUBTABLE_DENSITY * 1.0
-#define DD_GC_FRAC_MIN        0.2
-#define DD_MIN_HIT        30    /* resize cache when hit ratio
-                       above this percentage (default) */
-#define DD_MAX_LOOSE_FRACTION    5 /* 1 / (max fraction of memory used for
-                     unique table in fast growth mode) */
-#define DD_MAX_CACHE_FRACTION    3 /* 1 / (max fraction of memory used for
-                     computed table if resizing enabled) */
-#define DD_STASH_FRACTION    64 /* 1 / (fraction of memory set
-                      aside for emergencies) */
-#define DD_MAX_CACHE_TO_SLOTS_RATIO 4 /* used to limit the cache size */
-
-/* Variable ordering default parameter values. */
-#define DD_SIFT_MAX_VAR        1000
-#define DD_SIFT_MAX_SWAPS    2000000
-#define DD_DEFAULT_RECOMB    0
-#define DD_MAX_REORDER_GROWTH    1.2
-#define DD_FIRST_REORDER    4004    /* 4 for the constants */
-#define DD_DYN_RATIO        2    /* when to dynamically reorder */
-
-/* Primes for cache hash functions. */
-#define DD_P1            12582917
-#define DD_P2            4256249
-#define DD_P3            741457
-#define DD_P4            1618033999
-
-/* Cache tags for 3-operand operators.  These tags are stored in the
-** least significant bits of the cache operand pointers according to
-** the following scheme.  The tag consists of two hex digits.  Both digits
-** must be even, so that they do not interfere with complementation bits.
-** The least significant one is stored in Bits 3:1 of the f operand in the
-** cache entry.  Bit 1 is always 1, so that we can differentiate
-** three-operand operations from one- and two-operand operations.
-** Therefore, the least significant digit is one of {2,6,a,e}.  The most
-** significant digit occupies Bits 3:1 of the g operand in the cache
-** entry.  It can by any even digit between 0 and e.  This gives a total
-** of 5 bits for the tag proper, which means a maximum of 32 three-operand
-** operations. */
-#define DD_ADD_ITE_TAG                0x02
-#define DD_BDD_AND_ABSTRACT_TAG            0x06
-#define DD_BDD_XOR_EXIST_ABSTRACT_TAG        0x0a
-#define DD_BDD_ITE_TAG                0x0e
-#define DD_ADD_BDD_DO_INTERVAL_TAG        0x22
-#define DD_BDD_CLIPPING_AND_ABSTRACT_UP_TAG    0x26
-#define DD_BDD_CLIPPING_AND_ABSTRACT_DOWN_TAG    0x2a
-#define DD_BDD_COMPOSE_RECUR_TAG        0x2e
-#define DD_ADD_COMPOSE_RECUR_TAG        0x42
-#define DD_ADD_NON_SIM_COMPOSE_TAG        0x46
-#define DD_EQUIV_DC_TAG                0x4a
-#define DD_ZDD_ITE_TAG                0x4e
-#define DD_ADD_ITE_CONSTANT_TAG            0x62
-#define DD_ADD_EVAL_CONST_TAG            0x66
-#define DD_BDD_ITE_CONSTANT_TAG            0x6a
-#define DD_ADD_OUT_SUM_TAG            0x6e
-#define DD_BDD_LEQ_UNLESS_TAG            0x82
-#define DD_ADD_TRIANGLE_TAG            0x86
-
-/* Generator constants. */
-#define CUDD_GEN_CUBES 0
-#define CUDD_GEN_NODES 1
-#define CUDD_GEN_ZDD_PATHS 2
-#define CUDD_GEN_EMPTY 0
-#define CUDD_GEN_NONEMPTY 1
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-struct DdGen {
-    DdManager    *manager;
-    int        type;
-    int        status;
-    union {
-    struct {
-        int            *cube;
-        CUDD_VALUE_TYPE    value;
-    } cubes;
-    struct {
-        st_table        *visited;
-        st_generator    *stGen;
-    } nodes;
-    } gen;
-    struct {
-    int    sp;
-    DdNode    **stack;
-    } stack;
-    DdNode    *node;
-};
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/* Hooks in CUDD are functions that the application registers with the
-** manager so that they are called at appropriate times. The functions
-** are passed the manager as argument; they should return 1 if
-** successful and 0 otherwise.
-*/
-typedef struct DdHook {        /* hook list element */
-    int (*f) ARGS((DdManager *, char *, void *)); /* function to be called */
-    struct DdHook *next;    /* next element in the list */
-} DdHook;
-
-#if SIZEOF_VOID_P == 8 && SIZEOF_INT == 4
-typedef long ptrint;
-typedef unsigned long ptruint;
-#else
-typedef int ptrint;
-typedef unsigned int ptruint;
-#endif
-
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-
-typedef DdNode *DdNodePtr;
-
-/* Generic local cache item. */
-typedef struct DdLocalCacheItem {
-    DdNode *value;
-#ifdef DD_CACHE_PROFILE
-    ptrint count;
-#endif
-    DdNode *key[1];
-} DdLocalCacheItem;
-
-/* Local cache. */
-typedef struct DdLocalCache {
-    DdLocalCacheItem *item;
-    unsigned int itemsize;
-    unsigned int keysize;
-    unsigned int slots;
-    int shift;
-    double lookUps;
-    double minHit;
-    double hits;
-    unsigned int maxslots;
-    DdManager *manager;
-    struct DdLocalCache *next;
-} DdLocalCache;
-
-/* Generic hash item. */
-typedef struct DdHashItem {
-    struct DdHashItem *next;
-    ptrint count;
-    DdNode *value;
-    DdNode *key[1];
-} DdHashItem;
-
-/* Local hash table */
-typedef struct DdHashTable {
-    unsigned int keysize;
-    unsigned int itemsize;
-    DdHashItem **bucket;
-    DdHashItem *nextFree;
-    DdHashItem **memoryList;
-    unsigned int numBuckets;
-    int shift;
-    unsigned int size;
-    unsigned int maxsize;
-    DdManager *manager;
-} DdHashTable;
-
-typedef struct DdCache {
-    DdNode *f,*g;        /* DDs */
-    ptruint h;            /* either operator or DD */
-    DdNode *data;        /* already constructed DD */
-#ifdef DD_CACHE_PROFILE
-    ptrint count;
-#endif
-} DdCache;
-
-typedef struct DdSubtable {    /* subtable for one index */
-    DdNode **nodelist;        /* hash table */
-    int shift;            /* shift for hash function */
-    unsigned int slots;        /* size of the hash table */
-    unsigned int keys;        /* number of nodes stored in this table */
-    unsigned int maxKeys;    /* slots * DD_MAX_SUBTABLE_DENSITY */
-    unsigned int dead;        /* number of dead nodes in this table */
-    unsigned int next;        /* index of next variable in group */
-    int bindVar;        /* flag to bind this variable to its level */
-    /* Fields for lazy sifting. */
-    Cudd_VariableType varType;  /* variable type (ps, ns, pi) */
-    int pairIndex;              /* corresponding variable index (ps <-> ns) */
-    int varHandled;        /* flag: 1 means variable is already handled */
-    Cudd_LazyGroupType varToBeGrouped; /* tells what grouping to apply */
-} DdSubtable;
-
-struct DdManager {    /* specialized DD symbol table */
-    /* Constants */
-    DdNode sentinel;        /* for collision lists */
-    DdNode *one;        /* constant 1 */
-    DdNode *zero;        /* constant 0 */
-    DdNode *plusinfinity;    /* plus infinity */
-    DdNode *minusinfinity;    /* minus infinity */
-    DdNode *background;        /* background value */
-    /* Computed Table */
-    DdCache *acache;        /* address of allocated memory for cache */
-    DdCache *cache;        /* the cache-based computed table */
-    unsigned int cacheSlots;    /* total number of cache entries */
-    int cacheShift;        /* shift value for cache hash function */
-    double cacheMisses;        /* number of cache misses (since resizing) */
-    double cacheHits;        /* number of cache hits (since resizing) */
-    double minHit;        /* hit percentage above which to resize */
-    int cacheSlack;        /* slots still available for resizing */
-    unsigned int maxCacheHard;    /* hard limit for cache size */
-    /* Unique Table */
-    int size;            /* number of unique subtables */
-    int sizeZ;            /* for ZDD */
-    int maxSize;        /* max number of subtables before resizing */
-    int maxSizeZ;        /* for ZDD */
-    DdSubtable *subtables;    /* array of unique subtables */
-    DdSubtable *subtableZ;    /* for ZDD */
-    DdSubtable constants;    /* unique subtable for the constants */
-    unsigned int slots;        /* total number of hash buckets */
-    unsigned int keys;        /* total number of BDD and ADD nodes */
-    unsigned int keysZ;        /* total number of ZDD nodes */
-    unsigned int dead;        /* total number of dead BDD and ADD nodes */
-    unsigned int deadZ;        /* total number of dead ZDD nodes */
-    unsigned int maxLive;    /* maximum number of live nodes */
-    unsigned int minDead;    /* do not GC if fewer than these dead */
-    double gcFrac;        /* gc when this fraction is dead */
-    int gcEnabled;        /* gc is enabled */
-    unsigned int looseUpTo;    /* slow growth beyond this limit */
-                /* (measured w.r.t. slots, not keys) */
-    unsigned int initSlots;    /* initial size of a subtable */
-    DdNode **stack;        /* stack for iterative procedures */
-    double allocated;        /* number of nodes allocated */
-                /* (not during reordering) */
-    double reclaimed;        /* number of nodes brought back from the dead */
-    int isolated;        /* isolated projection functions */
-    int *perm;            /* current variable perm. (index to level) */
-    int *permZ;            /* for ZDD */
-    int *invperm;        /* current inv. var. perm. (level to index) */
-    int *invpermZ;        /* for ZDD */
-    DdNode **vars;        /* projection functions */
-    int *map;            /* variable map for fast swap */
-    DdNode **univ;        /* ZDD 1 for each variable */
-    int linearSize;        /* number of rows and columns of linear */
-    long *interact;        /* interacting variable matrix */
-    long *linear;        /* linear transform matrix */
-    /* Memory Management */
-    DdNode **memoryList;    /* memory manager for symbol table */
-    DdNode *nextFree;        /* list of free nodes */
-    char *stash;        /* memory reserve */
-#ifndef DD_NO_DEATH_ROW
-    DdNode **deathRow;        /* queue for dereferencing */
-    int deathRowDepth;        /* number of slots in the queue */
-    int nextDead;        /* index in the queue */
-    unsigned deadMask;        /* mask for circular index update */
-#endif
-    /* General Parameters */
-    CUDD_VALUE_TYPE epsilon;    /* tolerance on comparisons */
-    /* Dynamic Reordering Parameters */
-    int reordered;        /* flag set at the end of reordering */
-    int reorderings;        /* number of calls to Cudd_ReduceHeap */
-    int siftMaxVar;        /* maximum number of vars sifted */
-    int siftMaxSwap;        /* maximum number of swaps per sifting */
-    double maxGrowth;        /* maximum growth during reordering */
-    double maxGrowthAlt;    /* alternate maximum growth for reordering */
-    int reordCycle;        /* how often to apply alternate threshold */
-    int autoDyn;        /* automatic dynamic reordering flag (BDD) */
-    int autoDynZ;        /* automatic dynamic reordering flag (ZDD) */
-    Cudd_ReorderingType autoMethod;  /* default reordering method */
-    Cudd_ReorderingType autoMethodZ; /* default reordering method (ZDD) */
-    int realign;        /* realign ZDD order after BDD reordering */
-    int realignZ;        /* realign BDD order after ZDD reordering */
-    unsigned int nextDyn;    /* reorder if this size is reached */
-    unsigned int countDead;    /* if 0, count deads to trigger reordering */
-    MtrNode *tree;        /* Variable group tree (BDD) */
-    MtrNode *treeZ;        /* Variable group tree (ZDD) */
-    Cudd_AggregationType groupcheck; /* Used during group sifting */
-    int recomb;            /* Used during group sifting */
-    int symmviolation;        /* Used during group sifting */
-    int arcviolation;        /* Used during group sifting */
-    int populationSize;        /* population size for GA */
-    int    numberXovers;        /* number of crossovers for GA */
-    DdLocalCache *localCaches;    /* local caches currently in existence */
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-    char *hooks;        /* application-specific field (used by vis) */
-    DdHook *preGCHook;        /* hooks to be called before GC */
-    DdHook *postGCHook;        /* hooks to be called after GC */
-    DdHook *preReorderingHook;    /* hooks to be called before reordering */
-    DdHook *postReorderingHook;    /* hooks to be called after reordering */
-    FILE *out;            /* stdout for this manager */
-    FILE *err;            /* stderr for this manager */
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-    Cudd_ErrorType errorCode;    /* info on last error */
-    /* Statistical counters. */
-    long memused;        /* total memory allocated for the manager */
-    long maxmem;        /* target maximum memory */
-    long maxmemhard;        /* hard limit for maximum memory */
-    int garbageCollections;    /* number of garbage collections */
-    long GCTime;        /* total time spent in garbage collection */
-    long reordTime;        /* total time spent in reordering */
-    double totCachehits;    /* total number of cache hits */
-    double totCacheMisses;    /* total number of cache misses */
-    double cachecollisions;    /* number of cache collisions */
-    double cacheinserts;    /* number of cache insertions */
-    double cacheLastInserts;    /* insertions at the last cache resizing */
-    double cachedeletions;    /* number of deletions during garbage coll. */
-#ifdef DD_STATS
-    double nodesFreed;        /* number of nodes returned to the free list */
-    double nodesDropped;    /* number of nodes killed by dereferencing */
-#endif
-    unsigned int peakLiveNodes;    /* maximum number of live nodes */
-#ifdef DD_UNIQUE_PROFILE
-    double uniqueLookUps;    /* number of unique table lookups */
-    double uniqueLinks;        /* total distance traveled in coll. chains */
-#endif
-#ifdef DD_COUNT
-    double recursiveCalls;    /* number of recursive calls */
-#ifdef DD_STATS
-    double nextSample;        /* when to write next line of stats */
-#endif
-    double swapSteps;        /* number of elementary reordering steps */
-#endif
-#ifdef DD_MIS
-    /* mis/verif compatibility fields */
-    array_t *iton;        /* maps ids in ddNode to node_t */
-    array_t *order;        /* copy of order_list */
-    lsHandle handle;        /* where it is in network BDD list */
-    network_t *network;
-    st_table *local_order;    /* for local BDDs */
-    int nvars;            /* variables used so far */
-    int threshold;        /* for pseudo var threshold value*/
-#endif
-};
-
-typedef struct Move {
-    DdHalfWord x;
-    DdHalfWord y;
-    unsigned int flags;
-    int size;
-    struct Move *next;
-} Move;
-
-/* Generic level queue item. */
-typedef struct DdQueueItem {
-    struct DdQueueItem *next;
-    struct DdQueueItem *cnext;
-    void *key;
-} DdQueueItem;
-
-/* Level queue. */
-typedef struct DdLevelQueue {
-    void *first;
-    DdQueueItem **last;
-    DdQueueItem *freelist;
-    DdQueueItem **buckets;
-    int levels;
-    int itemsize;
-    int size;
-    int maxsize;
-    int numBuckets;
-    int shift;
-} DdLevelQueue;
-
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-/**Macro***********************************************************************
-
-  Synopsis    [Adds node to the head of the free list.]
-
-  Description [Adds node to the head of the free list.  Does not
-  deallocate memory chunks that become free.  This function is also
-  used by the dynamic reordering functions.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddAllocNode cuddDynamicAllocNode]
-
-******************************************************************************/
-#define cuddDeallocNode(unique,node) \
-    (node)->next = (unique)->nextFree; \
-    (unique)->nextFree = node;
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Increases the reference count of a node, if it is not
-  saturated.]
-
-  Description  [Increases the reference count of a node, if it is not
-  saturated. This being a macro, it is faster than Cudd_Ref, but it
-  cannot be used in constructs like cuddRef(a = b()).]
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_Ref]
-
-******************************************************************************/
-#define cuddRef(n) cuddSatInc(Cudd_Regular(n)->ref)
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Decreases the reference count of a node, if it is not
-  saturated.]
-
-  Description  [Decreases the reference count of node. It is primarily
-  used in recursive procedures to decrease the ref count of a result
-  node before returning it. This accomplishes the goal of removing the
-  protection applied by a previous cuddRef. This being a macro, it is
-  faster than Cudd_Deref, but it cannot be used in constructs like
-  cuddDeref(a = b()).]
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_Deref]
-
-******************************************************************************/
-#define cuddDeref(n) cuddSatDec(Cudd_Regular(n)->ref)
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Returns 1 if the node is a constant node.]
-
-  Description  [Returns 1 if the node is a constant node (rather than an
-  internal node). All constant nodes have the same index
-  (CUDD_CONST_INDEX). The pointer passed to cuddIsConstant must be regular.]
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_IsConstant]
-
-******************************************************************************/
-#define cuddIsConstant(node) ((node)->index == CUDD_CONST_INDEX)
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Returns the then child of an internal node.]
-
-  Description  [Returns the then child of an internal node. If
-  <code>node</code> is a constant node, the result is unpredictable.
-  The pointer passed to cuddT must be regular.]
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_T]
-
-******************************************************************************/
-#define cuddT(node) ((node)->type.kids.T)
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Returns the else child of an internal node.]
-
-  Description  [Returns the else child of an internal node. If
-  <code>node</code> is a constant node, the result is unpredictable.
-  The pointer passed to cuddE must be regular.]
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_E]
-
-******************************************************************************/
-#define cuddE(node) ((node)->type.kids.E)
-
-
-/**Macro***********************************************************************
-
-  Synopsis     [Returns the value of a constant node.]
-
-  Description  [Returns the value of a constant node. If
-  <code>node</code> is an internal node, the result is unpredictable.
-  The pointer passed to cuddV must be regular.]
-
-  SideEffects  [none]
-
-  SeeAlso      [Cudd_V]
-
-******************************************************************************/
-#define cuddV(node) ((node)->type.value)
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Finds the current position of variable index in the
-  order.]
-
-  Description [Finds the current position of variable index in the
-  order.  This macro duplicates the functionality of Cudd_ReadPerm,
-  but it does not check for out-of-bounds indices and it is more
-  efficient.]
-
-  SideEffects [none]
-
-  SeeAlso     [Cudd_ReadPerm]
-
-******************************************************************************/
-#define    cuddI(dd,index) (((index)==CUDD_CONST_INDEX)?(int)(index):(dd)->perm[(index)])
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Finds the current position of ZDD variable index in the
-  order.]
-
-  Description [Finds the current position of ZDD variable index in the
-  order.  This macro duplicates the functionality of Cudd_ReadPermZdd,
-  but it does not check for out-of-bounds indices and it is more
-  efficient.]
-
-  SideEffects [none]
-
-  SeeAlso     [Cudd_ReadPermZdd]
-
-******************************************************************************/
-#define    cuddIZ(dd,index) (((index)==CUDD_CONST_INDEX)?(int)(index):(dd)->permZ[(index)])
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Hash function for the unique table.]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     [ddCHash ddCHash2]
-
-******************************************************************************/
-#if SIZEOF_VOID_P == 8 && SIZEOF_INT == 4
-#define ddHash(f,g,s) \
-((((unsigned)(unsigned long)(f) * DD_P1 + \
-   (unsigned)(unsigned long)(g)) * DD_P2) >> (s))
-#else
-#define ddHash(f,g,s) \
-((((unsigned)(f) * DD_P1 + (unsigned)(g)) * DD_P2) >> (s))
-#endif
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Hash function for the cache.]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     [ddHash ddCHash2]
-
-******************************************************************************/
-#if SIZEOF_VOID_P == 8 && SIZEOF_INT == 4
-#define ddCHash(o,f,g,h,s) \
-((((((unsigned)(unsigned long)(f) + (unsigned)(unsigned long)(o)) * DD_P1 + \
-    (unsigned)(unsigned long)(g)) * DD_P2 + \
-   (unsigned)(unsigned long)(h)) * DD_P3) >> (s))
-#else
-#define ddCHash(o,f,g,h,s) \
-((((((unsigned)(f) + (unsigned)(o)) * DD_P1 + (unsigned)(g)) * DD_P2 + \
-   (unsigned)(h)) * DD_P3) >> (s))
-#endif
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Hash function for the cache for functions with two
-  operands.]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     [ddHash ddCHash]
-
-******************************************************************************/
-#if SIZEOF_VOID_P == 8 && SIZEOF_INT == 4
-#define ddCHash2(o,f,g,s) \
-(((((unsigned)(unsigned long)(f) + (unsigned)(unsigned long)(o)) * DD_P1 + \
-   (unsigned)(unsigned long)(g)) * DD_P2) >> (s))
-#else
-#define ddCHash2(o,f,g,s) \
-(((((unsigned)(f) + (unsigned)(o)) * DD_P1 + (unsigned)(g)) * DD_P2) >> (s))
-#endif
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Clears the 4 least significant bits of a pointer.]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     []
-
-******************************************************************************/
-#define cuddClean(p) ((DdNode *)((ptruint)(p) & ~0xf))
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Computes the minimum of two numbers.]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     [ddMax]
-
-******************************************************************************/
-#define ddMin(x,y) (((y) < (x)) ? (y) : (x))
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Computes the maximum of two numbers.]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     [ddMin]
-
-******************************************************************************/
-#define ddMax(x,y) (((y) > (x)) ? (y) : (x))
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Computes the absolute value of a number.]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     []
-
-******************************************************************************/
-#define ddAbs(x) (((x)<0) ? -(x) : (x))
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Returns 1 if the absolute value of the difference of the two
-  arguments x and y is less than e.]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     []
-
-******************************************************************************/
-#define ddEqualVal(x,y,e) (ddAbs((x)-(y))<(e))
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Saturating increment operator.]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     [cuddSatDec]
-
-******************************************************************************/
-#if SIZEOF_VOID_P == 8 && SIZEOF_INT == 4
-#define cuddSatInc(x) ((x)++)
-#else
-#define cuddSatInc(x) ((x) += (x) != (DdHalfWord)DD_MAXREF)
-#endif
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Saturating decrement operator.]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     [cuddSatInc]
-
-******************************************************************************/
-#if SIZEOF_VOID_P == 8 && SIZEOF_INT == 4
-#define cuddSatDec(x) ((x)--)
-#else
-#define cuddSatDec(x) ((x) -= (x) != (DdHalfWord)DD_MAXREF)
-#endif
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Returns the constant 1 node.]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     [DD_ZERO DD_PLUS_INFINITY DD_MINUS_INFINITY]
-
-******************************************************************************/
-#define DD_ONE(dd)        ((dd)->one)
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Returns the arithmetic 0 constant node.]
-
-  Description [Returns the arithmetic 0 constant node. This is different
-  from the logical zero. The latter is obtained by
-  Cudd_Not(DD_ONE(dd)).]
-
-  SideEffects [none]
-
-  SeeAlso     [DD_ONE Cudd_Not DD_PLUS_INFINITY DD_MINUS_INFINITY]
-
-******************************************************************************/
-#define DD_ZERO(dd) ((dd)->zero)
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Returns the plus infinity constant node.]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     [DD_ONE DD_ZERO DD_MINUS_INFINITY]
-
-******************************************************************************/
-#define DD_PLUS_INFINITY(dd) ((dd)->plusinfinity)
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Returns the minus infinity constant node.]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     [DD_ONE DD_ZERO DD_PLUS_INFINITY]
-
-******************************************************************************/
-#define DD_MINUS_INFINITY(dd) ((dd)->minusinfinity)
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Enforces DD_MINUS_INF_VAL <= x <= DD_PLUS_INF_VAL.]
-
-  Description [Enforces DD_MINUS_INF_VAL <= x <= DD_PLUS_INF_VAL.
-  Furthermore, if x <= DD_MINUS_INF_VAL/2, x is set to
-  DD_MINUS_INF_VAL. Similarly, if DD_PLUS_INF_VAL/2 <= x, x is set to
-  DD_PLUS_INF_VAL.  Normally this macro is a NOOP. However, if
-  HAVE_IEEE_754 is not defined, it makes sure that a value does not
-  get larger than infinity in absolute value, and once it gets to
-  infinity, stays there.  If the value overflows before this macro is
-  applied, no recovery is possible.]
-
-  SideEffects [none]
-
-  SeeAlso     []
-
-******************************************************************************/
-#ifdef HAVE_IEEE_754
-#define cuddAdjust(x)
-#else
-#define cuddAdjust(x)        ((x) = ((x) >= DD_CRI_HI_MARK) ? DD_PLUS_INF_VAL : (((x) <= DD_CRI_LO_MARK) ? DD_MINUS_INF_VAL : (x)))
-#endif
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Extract the least significant digit of a double digit.]
-
-  Description [Extract the least significant digit of a double digit. Used
-  in the manipulation of arbitrary precision integers.]
-
-  SideEffects [None]
-
-  SeeAlso     [DD_MSDIGIT]
-
-******************************************************************************/
-#define DD_LSDIGIT(x)    ((x) & DD_APA_MASK)
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Extract the most significant digit of a double digit.]
-
-  Description [Extract the most significant digit of a double digit. Used
-  in the manipulation of arbitrary precision integers.]
-
-  SideEffects [None]
-
-  SeeAlso     [DD_LSDIGIT]
-
-******************************************************************************/
-#define DD_MSDIGIT(x)    ((x) >> DD_APA_BITS)
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Outputs a line of stats.]
-
-  Description [Outputs a line of stats if DD_COUNT and DD_STATS are
-  defined. Increments the number of recursive calls if DD_COUNT is
-  defined.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-#ifdef DD_COUNT
-#ifdef DD_STATS
-#define statLine(dd) dd->recursiveCalls++; \
-if (dd->recursiveCalls == dd->nextSample) {(void) fprintf(dd->err, \
-"@%.0f: %u nodes %u live %.0f dropped %.0f reclaimed\n", dd->recursiveCalls, \
-dd->keys, dd->keys - dd->dead, dd->nodesDropped, dd->reclaimed); \
-dd->nextSample += 250000;}
-#else
-#define statLine(dd) dd->recursiveCalls++;
-#endif
-#else
-#define statLine(dd)
-#endif
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Function prototypes                                                       */
-/*---------------------------------------------------------------------------*/
-
-EXTERN DdNode * cuddAddExistAbstractRecur ARGS((DdManager *manager, DdNode *f, DdNode *cube));
-EXTERN DdNode * cuddAddUnivAbstractRecur ARGS((DdManager *manager, DdNode *f, DdNode *cube));
-EXTERN DdNode * cuddAddOrAbstractRecur ARGS((DdManager *manager, DdNode *f, DdNode *cube));
-EXTERN DdNode * cuddAddApplyRecur ARGS((DdManager *dd, DdNode * (*)(DdManager *, DdNode **, DdNode **), DdNode *f, DdNode *g));
-EXTERN DdNode * cuddAddMonadicApplyRecur ARGS((DdManager * dd, DdNode * (*op)(DdManager *, DdNode *), DdNode * f));
-EXTERN DdNode * cuddAddScalarInverseRecur ARGS((DdManager *dd, DdNode *f, DdNode *epsilon));
-EXTERN DdNode * cuddAddIteRecur ARGS((DdManager *dd, DdNode *f, DdNode *g, DdNode *h));
-EXTERN DdNode * cuddAddCmplRecur ARGS((DdManager *dd, DdNode *f));
-EXTERN DdNode * cuddAddNegateRecur ARGS((DdManager *dd, DdNode *f));
-EXTERN DdNode * cuddAddRoundOffRecur ARGS((DdManager *dd, DdNode *f, double trunc));
-EXTERN DdNode * cuddUnderApprox ARGS((DdManager *dd, DdNode *f, int numVars, int threshold, int safe, double quality));
-EXTERN DdNode * cuddRemapUnderApprox ARGS((DdManager *dd, DdNode *f, int numVars, int threshold, double quality));
-EXTERN DdNode * cuddBiasedUnderApprox ARGS((DdManager *dd, DdNode *f, DdNode *b, int numVars, int threshold, double quality1, double quality0));
-EXTERN DdNode * cuddBddAndAbstractRecur ARGS((DdManager *manager, DdNode *f, DdNode *g, DdNode *cube));
-EXTERN int cuddAnnealing ARGS((DdManager *table, int lower, int upper));
-EXTERN DdNode * cuddBddExistAbstractRecur ARGS((DdManager *manager, DdNode *f, DdNode *cube));
-EXTERN DdNode * cuddBddXorExistAbstractRecur ARGS((DdManager *manager, DdNode *f, DdNode *g, DdNode *cube));
-EXTERN DdNode * cuddBddBooleanDiffRecur ARGS((DdManager *manager, DdNode *f, DdNode *var));
-EXTERN DdNode * cuddBddIteRecur ARGS((DdManager *dd, DdNode *f, DdNode *g, DdNode *h));
-EXTERN DdNode * cuddBddIntersectRecur ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode * cuddBddAndRecur ARGS((DdManager *manager, DdNode *f, DdNode *g));
-EXTERN DdNode * cuddBddXorRecur ARGS((DdManager *manager, DdNode *f, DdNode *g));
-EXTERN DdNode * cuddBddTransfer ARGS((DdManager *ddS, DdManager *ddD, DdNode *f));
-EXTERN DdNode * cuddAddBddDoPattern ARGS((DdManager *dd, DdNode *f));
-EXTERN int cuddInitCache ARGS((DdManager *unique, unsigned int cacheSize, unsigned int maxCacheSize));
-EXTERN void cuddCacheInsert ARGS((DdManager *table, ptruint op, DdNode *f, DdNode *g, DdNode *h, DdNode *data));
-EXTERN void cuddCacheInsert2 ARGS((DdManager *table, DdNode * (*)(DdManager *, DdNode *, DdNode *), DdNode *f, DdNode *g, DdNode *data));
-EXTERN void cuddCacheInsert1 ARGS((DdManager *table, DdNode * (*)(DdManager *, DdNode *), DdNode *f, DdNode *data));
-EXTERN DdNode * cuddCacheLookup ARGS((DdManager *table, ptruint op, DdNode *f, DdNode *g, DdNode *h));
-EXTERN DdNode * cuddCacheLookupZdd ARGS((DdManager *table, ptruint op, DdNode *f, DdNode *g, DdNode *h));
-EXTERN DdNode * cuddCacheLookup2 ARGS((DdManager *table, DdNode * (*)(DdManager *, DdNode *, DdNode *), DdNode *f, DdNode *g));
-EXTERN DdNode * cuddCacheLookup1 ARGS((DdManager *table, DdNode * (*)(DdManager *, DdNode *), DdNode *f));
-EXTERN DdNode * cuddCacheLookup2Zdd ARGS((DdManager *table, DdNode * (*)(DdManager *, DdNode *, DdNode *), DdNode *f, DdNode *g));
-EXTERN DdNode * cuddCacheLookup1Zdd ARGS((DdManager *table, DdNode * (*)(DdManager *, DdNode *), DdNode *f));
-EXTERN DdNode * cuddConstantLookup ARGS((DdManager *table, ptruint op, DdNode *f, DdNode *g, DdNode *h));
-EXTERN int cuddCacheProfile ARGS((DdManager *table, FILE *fp));
-EXTERN void cuddCacheResize ARGS((DdManager *table));
-EXTERN void cuddCacheFlush ARGS((DdManager *table));
-EXTERN int cuddComputeFloorLog2 ARGS((unsigned int value));
-EXTERN int cuddHeapProfile ARGS((DdManager *dd));
-EXTERN void cuddPrintNode ARGS((DdNode *f, FILE *fp));
-EXTERN void cuddPrintVarGroups ARGS((DdManager * dd, MtrNode * root, int zdd, int silent));
-EXTERN DdNode * cuddBddClippingAnd ARGS((DdManager *dd, DdNode *f, DdNode *g, int maxDepth, int direction));
-EXTERN DdNode * cuddBddClippingAndAbstract ARGS((DdManager *dd, DdNode *f, DdNode *g, DdNode *cube, int maxDepth, int direction));
-EXTERN void cuddGetBranches ARGS((DdNode *g, DdNode **g1, DdNode **g0));
-EXTERN int cuddCheckCube ARGS((DdManager *dd, DdNode *g));
-EXTERN DdNode * cuddCofactorRecur ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode * cuddBddComposeRecur ARGS((DdManager *dd, DdNode *f, DdNode *g, DdNode *proj));
-EXTERN DdNode * cuddAddComposeRecur ARGS((DdManager *dd, DdNode *f, DdNode *g, DdNode *proj));
-EXTERN int cuddExact ARGS((DdManager *table, int lower, int upper));
-EXTERN DdNode * cuddBddConstrainRecur ARGS((DdManager *dd, DdNode *f, DdNode *c));
-EXTERN DdNode * cuddBddRestrictRecur ARGS((DdManager *dd, DdNode *f, DdNode *c));
-EXTERN DdNode * cuddAddConstrainRecur ARGS((DdManager *dd, DdNode *f, DdNode *c));
-EXTERN DdNode * cuddAddRestrictRecur ARGS((DdManager *dd, DdNode *f, DdNode *c));
-EXTERN DdNode * cuddBddLICompaction ARGS((DdManager *dd, DdNode *f, DdNode *c));
-EXTERN int cuddGa ARGS((DdManager *table, int lower, int upper));
-EXTERN int cuddTreeSifting ARGS((DdManager *table, Cudd_ReorderingType method));
-EXTERN int cuddZddInitUniv ARGS((DdManager *zdd));
-EXTERN void cuddZddFreeUniv ARGS((DdManager *zdd));
-EXTERN void cuddSetInteract ARGS((DdManager *table, int x, int y));
-EXTERN int cuddTestInteract ARGS((DdManager *table, int x, int y));
-EXTERN int cuddInitInteract ARGS((DdManager *table));
-EXTERN DdLocalCache * cuddLocalCacheInit ARGS((DdManager *manager, unsigned int keySize, unsigned int cacheSize, unsigned int maxCacheSize));
-EXTERN void cuddLocalCacheQuit ARGS((DdLocalCache *cache));
-EXTERN void cuddLocalCacheInsert ARGS((DdLocalCache *cache, DdNodePtr *key, DdNode *value));
-EXTERN DdNode * cuddLocalCacheLookup ARGS((DdLocalCache *cache, DdNodePtr *key));
-EXTERN void cuddLocalCacheClearDead ARGS((DdManager *manager));
-EXTERN int cuddIsInDeathRow ARGS((DdManager *dd, DdNode *f));
-EXTERN int cuddTimesInDeathRow ARGS((DdManager *dd, DdNode *f));
-EXTERN void cuddLocalCacheClearAll ARGS((DdManager *manager));
-#ifdef DD_CACHE_PROFILE
-EXTERN int cuddLocalCacheProfile ARGS((DdLocalCache *cache));
-#endif
-EXTERN DdHashTable * cuddHashTableInit ARGS((DdManager *manager, unsigned int keySize, unsigned int initSize));
-EXTERN void cuddHashTableQuit ARGS((DdHashTable *hash));
-EXTERN int cuddHashTableInsert ARGS((DdHashTable *hash, DdNodePtr *key, DdNode *value, ptrint count));
-EXTERN DdNode * cuddHashTableLookup ARGS((DdHashTable *hash, DdNodePtr *key));
-EXTERN int cuddHashTableInsert1 ARGS((DdHashTable *hash, DdNode *f, DdNode *value, ptrint count));
-EXTERN DdNode * cuddHashTableLookup1 ARGS((DdHashTable *hash, DdNode *f));
-EXTERN int cuddHashTableInsert2 ARGS((DdHashTable *hash, DdNode *f, DdNode *g, DdNode *value, ptrint count));
-EXTERN DdNode * cuddHashTableLookup2 ARGS((DdHashTable *hash, DdNode *f, DdNode *g));
-EXTERN int cuddHashTableInsert3 ARGS((DdHashTable *hash, DdNode *f, DdNode *g, DdNode *h, DdNode *value, ptrint count));
-EXTERN DdNode * cuddHashTableLookup3 ARGS((DdHashTable *hash, DdNode *f, DdNode *g, DdNode *h));
-EXTERN DdLevelQueue * cuddLevelQueueInit ARGS((int levels, int itemSize, int numBuckets));
-EXTERN void cuddLevelQueueQuit ARGS((DdLevelQueue *queue));
-EXTERN void * cuddLevelQueueEnqueue ARGS((DdLevelQueue *queue, void *key, int level));
-EXTERN void cuddLevelQueueDequeue ARGS((DdLevelQueue *queue, int level));
-EXTERN int cuddLinearAndSifting ARGS((DdManager *table, int lower, int upper));
-EXTERN DdNode * cuddBddLiteralSetIntersectionRecur ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode * cuddCProjectionRecur ARGS((DdManager *dd, DdNode *R, DdNode *Y, DdNode *Ysupp));
-EXTERN DdNode * cuddBddClosestCube ARGS((DdManager *dd, DdNode *f, DdNode *g, CUDD_VALUE_TYPE bound));
-EXTERN void cuddReclaim ARGS((DdManager *table, DdNode *n));
-EXTERN void cuddReclaimZdd ARGS((DdManager *table, DdNode *n));
-EXTERN void cuddClearDeathRow ARGS((DdManager *table));
-EXTERN void cuddShrinkDeathRow ARGS((DdManager *table));
-EXTERN DdNode * cuddDynamicAllocNode ARGS((DdManager *table));
-EXTERN int cuddSifting ARGS((DdManager *table, int lower, int upper));
-EXTERN int cuddSwapping ARGS((DdManager *table, int lower, int upper, Cudd_ReorderingType heuristic));
-EXTERN int cuddNextHigh ARGS((DdManager *table, int x));
-EXTERN int cuddNextLow ARGS((DdManager *table, int x));
-EXTERN int cuddSwapInPlace ARGS((DdManager *table, int x, int y));
-EXTERN int cuddBddAlignToZdd ARGS((DdManager *table));
-EXTERN DdNode * cuddBddMakePrime ARGS((DdManager *dd, DdNode *cube, DdNode *f));
-EXTERN DdNode * cuddSolveEqnRecur ARGS((DdManager *bdd, DdNode *F, DdNode *Y, DdNode **G, int n, int *yIndex, int i));
-EXTERN DdNode * cuddVerifySol ARGS((DdManager *bdd, DdNode *F, DdNode **G, int *yIndex, int n));
-#ifdef ST_INCLUDED
-EXTERN DdNode* cuddSplitSetRecur ARGS((DdManager *manager, st_table *mtable, int *varSeen, DdNode *p, double n, double max, int index));
-#endif
-EXTERN DdNode * cuddSubsetHeavyBranch ARGS((DdManager *dd, DdNode *f, int numVars, int threshold));
-EXTERN DdNode * cuddSubsetShortPaths ARGS((DdManager *dd, DdNode *f, int numVars, int threshold, int hardlimit));
-EXTERN int cuddSymmCheck ARGS((DdManager *table, int x, int y));
-EXTERN int cuddSymmSifting ARGS((DdManager *table, int lower, int upper));
-EXTERN int cuddSymmSiftingConv ARGS((DdManager *table, int lower, int upper));
-EXTERN DdNode * cuddAllocNode ARGS((DdManager *unique));
-EXTERN DdManager * cuddInitTable ARGS((unsigned int numVars, unsigned int numVarsZ, unsigned int numSlots, unsigned int looseUpTo));
-EXTERN void cuddFreeTable ARGS((DdManager *unique));
-EXTERN int cuddGarbageCollect ARGS((DdManager *unique, int clearCache));
-EXTERN int cuddGarbageCollectZdd ARGS((DdManager *unique, int clearCache));
-EXTERN DdNode * cuddZddGetNode ARGS((DdManager *zdd, int id, DdNode *T, DdNode *E));
-EXTERN DdNode * cuddZddGetNodeIVO ARGS((DdManager *dd, int index, DdNode *g, DdNode *h));
-EXTERN DdNode * cuddUniqueInter ARGS((DdManager *unique, int index, DdNode *T, DdNode *E));
-EXTERN DdNode * cuddUniqueInterIVO ARGS((DdManager *unique, int index, DdNode *T, DdNode *E));
-EXTERN DdNode * cuddUniqueInterZdd ARGS((DdManager *unique, int index, DdNode *T, DdNode *E));
-EXTERN DdNode * cuddUniqueConst ARGS((DdManager *unique, CUDD_VALUE_TYPE value));
-EXTERN void cuddRehash ARGS((DdManager *unique, int i));
-EXTERN void cuddShrinkSubtable ARGS((DdManager *unique, int i));
-EXTERN int cuddInsertSubtables ARGS((DdManager *unique, int n, int level));
-EXTERN int cuddDestroySubtables ARGS((DdManager *unique, int n));
-EXTERN int cuddResizeTableZdd ARGS((DdManager *unique, int index));
-EXTERN void cuddSlowTableGrowth ARGS((DdManager *unique));
-EXTERN int cuddP ARGS((DdManager *dd, DdNode *f));
-#ifdef ST_INCLUDED
-EXTERN enum st_retval cuddStCountfree ARGS((char *key, char *value, char *arg));
-EXTERN int cuddCollectNodes ARGS((DdNode *f, st_table *visited));
-#endif
-EXTERN int cuddWindowReorder ARGS((DdManager *table, int low, int high, Cudd_ReorderingType submethod));
-EXTERN DdNode    * cuddZddProduct ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode    * cuddZddUnateProduct ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode    * cuddZddWeakDiv ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode    * cuddZddWeakDivF ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode    * cuddZddDivide ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN DdNode    * cuddZddDivideF ARGS((DdManager *dd, DdNode *f, DdNode *g));
-EXTERN int cuddZddGetCofactors3 ARGS((DdManager *dd, DdNode *f, int v, DdNode **f1, DdNode **f0, DdNode **fd));
-EXTERN int cuddZddGetCofactors2 ARGS((DdManager *dd, DdNode *f, int v, DdNode **f1, DdNode **f0));
-EXTERN DdNode    * cuddZddComplement ARGS((DdManager *dd, DdNode *node));
-EXTERN int cuddZddGetPosVarIndex(DdManager * dd, int index);
-EXTERN int cuddZddGetNegVarIndex(DdManager * dd, int index);
-EXTERN int cuddZddGetPosVarLevel(DdManager * dd, int index);
-EXTERN int cuddZddGetNegVarLevel(DdManager * dd, int index);
-EXTERN int cuddZddTreeSifting ARGS((DdManager *table, Cudd_ReorderingType method));
-EXTERN DdNode    * cuddZddIsop ARGS((DdManager *dd, DdNode *L, DdNode *U, DdNode **zdd_I));
-EXTERN DdNode    * cuddBddIsop ARGS((DdManager *dd, DdNode *L, DdNode *U));
-EXTERN DdNode    * cuddMakeBddFromZddCover ARGS((DdManager *dd, DdNode *node));
-EXTERN int cuddZddLinearSifting ARGS((DdManager *table, int lower, int upper));
-EXTERN int cuddZddAlignToBdd ARGS((DdManager *table));
-EXTERN int cuddZddNextHigh ARGS((DdManager *table, int x));
-EXTERN int cuddZddNextLow ARGS((DdManager *table, int x));
-EXTERN int cuddZddUniqueCompare ARGS((int *ptr_x, int *ptr_y));
-EXTERN int cuddZddSwapInPlace ARGS((DdManager *table, int x, int y));
-EXTERN int cuddZddSwapping ARGS((DdManager *table, int lower, int upper, Cudd_ReorderingType heuristic));
-EXTERN int cuddZddSifting ARGS((DdManager *table, int lower, int upper));
-EXTERN DdNode * cuddZddIte ARGS((DdManager *dd, DdNode *f, DdNode *g, DdNode *h));
-EXTERN DdNode * cuddZddUnion ARGS((DdManager *zdd, DdNode *P, DdNode *Q));
-EXTERN DdNode * cuddZddIntersect ARGS((DdManager *zdd, DdNode *P, DdNode *Q));
-EXTERN DdNode * cuddZddDiff ARGS((DdManager *zdd, DdNode *P, DdNode *Q));
-EXTERN DdNode * cuddZddChangeAux ARGS((DdManager *zdd, DdNode *P, DdNode *zvar));
-EXTERN DdNode * cuddZddSubset1 ARGS((DdManager *dd, DdNode *P, int var));
-EXTERN DdNode * cuddZddSubset0 ARGS((DdManager *dd, DdNode *P, int var));
-EXTERN DdNode * cuddZddChange ARGS((DdManager *dd, DdNode *P, int var));
-EXTERN int cuddZddSymmCheck ARGS((DdManager *table, int x, int y));
-EXTERN int cuddZddSymmSifting ARGS((DdManager *table, int lower, int upper));
-EXTERN int cuddZddSymmSiftingConv ARGS((DdManager *table, int lower, int upper));
-EXTERN int cuddZddP ARGS((DdManager *zdd, DdNode *f));
-
-/**AutomaticEnd***************************************************************/
-
-#endif /* _CUDDINT */
diff --git a/src/bdd/cudd/cuddInteract.c b/src/bdd/cudd/cuddInteract.c
deleted file mode 100644
index 96613639..00000000
--- a/src/bdd/cudd/cuddInteract.c
+++ /dev/null
@@ -1,402 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddInteract.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions to manipulate the variable interaction matrix.]
-
-  Description [Internal procedures included in this file:
-    <ul>
-    <li> cuddSetInteract()
-    <li> cuddTestInteract()
-    <li> cuddInitInteract()
-    </ul>
-  Static procedures included in this file:
-    <ul>
-    <li> ddSuppInteract()
-    <li> ddClearLocal()
-    <li> ddUpdateInteract()
-    <li> ddClearGlobal()
-    </ul>
-  The interaction matrix tells whether two variables are
-  both in the support of some function of the DD. The main use of the
-  interaction matrix is in the in-place swapping. Indeed, if two
-  variables do not interact, there is no arc connecting the two layers;
-  therefore, the swap can be performed in constant time, without
-  scanning the subtables. Another use of the interaction matrix is in
-  the computation of the lower bounds for sifting. Finally, the
-  interaction matrix can be used to speed up aggregation checks in
-  symmetric and group sifting.<p>
-  The computation of the interaction matrix is done with a series of
-  depth-first searches. The searches start from those nodes that have
-  only external references. The matrix is stored as a packed array of bits;
-  since it is symmetric, only the upper triangle is kept in memory.
-  As a final remark, we note that there may be variables that do
-  intercat, but that for a given variable order have no arc connecting
-  their layers when they are adjacent.]
-
-  SeeAlso     []
-
-  Author      [Fabio Somenzi]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#if SIZEOF_LONG == 8
-#define BPL 64
-#define LOGBPL 6
-#else
-#define BPL 32
-#define LOGBPL 5
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddInteract.c,v 1.1.1.1 2003/02/24 22:23:52 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static void ddSuppInteract ARGS((DdNode *f, int *support));
-static void ddClearLocal ARGS((DdNode *f));
-static void ddUpdateInteract ARGS((DdManager *table, int *support));
-static void ddClearGlobal ARGS((DdManager *table));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Set interaction matrix entries.]
-
-  Description [Given a pair of variables 0 <= x < y < table->size,
-  sets the corresponding bit of the interaction matrix to 1.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-cuddSetInteract(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    int posn, word, bit;
-
-#ifdef DD_DEBUG
-    assert(x < y);
-    assert(y < table->size);
-    assert(x >= 0);
-#endif
-
-    posn = ((((table->size << 1) - x - 3) * x) >> 1) + y - 1;
-    word = posn >> LOGBPL;
-    bit = posn & (BPL-1);
-    table->interact[word] |= 1L << bit;
-
-} /* end of cuddSetInteract */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Test interaction matrix entries.]
-
-  Description [Given a pair of variables 0 <= x < y < table->size,
-  tests whether the corresponding bit of the interaction matrix is 1.
-  Returns the value of the bit.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddTestInteract(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    int posn, word, bit, result;
-
-    if (x > y) {
-    int tmp = x;
-    x = y;
-    y = tmp;
-    }
-#ifdef DD_DEBUG
-    assert(x < y);
-    assert(y < table->size);
-    assert(x >= 0);
-#endif
-
-    posn = ((((table->size << 1) - x - 3) * x) >> 1) + y - 1;
-    word = posn >> LOGBPL;
-    bit = posn & (BPL-1);
-    result = (table->interact[word] >> bit) & 1L;
-    return(result);
-
-} /* end of cuddTestInteract */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Initializes the interaction matrix.]
-
-  Description [Initializes the interaction matrix. The interaction
-  matrix is implemented as a bit vector storing the upper triangle of
-  the symmetric interaction matrix. The bit vector is kept in an array
-  of long integers. The computation is based on a series of depth-first
-  searches, one for each root of the DAG. Two flags are needed: The
-  local visited flag uses the LSB of the then pointer. The global
-  visited flag uses the LSB of the next pointer.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddInitInteract(
-  DdManager * table)
-{
-    int i,j,k;
-    int words;
-    long *interact;
-    int *support;
-    DdNode *f;
-    DdNode *sentinel = &(table->sentinel);
-    DdNodePtr *nodelist;
-    int slots;
-    int n = table->size;
-
-    words = ((n * (n-1)) >> (1 + LOGBPL)) + 1;
-    table->interact = interact = ALLOC(long,words);
-    if (interact == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    for (i = 0; i < words; i++) {
-    interact[i] = 0;
-    }
-
-    support = ALLOC(int,n);
-    if (support == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    FREE(interact);
-    return(0);
-    }
-
-    for (i = 0; i < n; i++) {
-    nodelist = table->subtables[i].nodelist;
-    slots = table->subtables[i].slots;
-    for (j = 0; j < slots; j++) {
-        f = nodelist[j];
-        while (f != sentinel) {
-        /* A node is a root of the DAG if it cannot be
-        ** reached by nodes above it. If a node was never
-        ** reached during the previous depth-first searches,
-        ** then it is a root, and we start a new depth-first
-        ** search from it.
-        */
-        if (!Cudd_IsComplement(f->next)) {
-            for (k = 0; k < n; k++) {
-            support[k] = 0;
-            }
-            ddSuppInteract(f,support);
-            ddClearLocal(f);
-            ddUpdateInteract(table,support);
-        }
-        f = Cudd_Regular(f->next);
-        }
-    }
-    }
-    ddClearGlobal(table);
-
-    FREE(support);
-    return(1);
-
-} /* end of cuddInitInteract */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Find the support of f.]
-
-  Description [Performs a DFS from f. Uses the LSB of the then pointer
-  as visited flag.]
-
-  SideEffects [Accumulates in support the variables on which f depends.]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-ddSuppInteract(
-  DdNode * f,
-  int * support)
-{
-    if (cuddIsConstant(f) || Cudd_IsComplement(cuddT(f))) {
-    return;
-    }
-
-    support[f->index] = 1;
-    ddSuppInteract(cuddT(f),support);
-    ddSuppInteract(Cudd_Regular(cuddE(f)),support);
-    /* mark as visited */
-    cuddT(f) = Cudd_Complement(cuddT(f));
-    f->next = Cudd_Complement(f->next);
-    return;
-
-} /* end of ddSuppInteract */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs a DFS from f, clearing the LSB of the then pointers.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-ddClearLocal(
-  DdNode * f)
-{
-    if (cuddIsConstant(f) || !Cudd_IsComplement(cuddT(f))) {
-    return;
-    }
-    /* clear visited flag */
-    cuddT(f) = Cudd_Regular(cuddT(f));
-    ddClearLocal(cuddT(f));
-    ddClearLocal(Cudd_Regular(cuddE(f)));
-    return;
-
-} /* end of ddClearLocal */
-
-
-/**Function********************************************************************
-
-  Synopsis [Marks as interacting all pairs of variables that appear in
-  support.]
-
-  Description [If support[i] == support[j] == 1, sets the (i,j) entry
-  of the interaction matrix to 1.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-ddUpdateInteract(
-  DdManager * table,
-  int * support)
-{
-    int i,j;
-    int n = table->size;
-
-    for (i = 0; i < n-1; i++) {
-    if (support[i] == 1) {
-        for (j = i+1; j < n; j++) {
-        if (support[j] == 1) {
-            cuddSetInteract(table,i,j);
-        }
-        }
-    }
-    }
-
-} /* end of ddUpdateInteract */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Scans the DD and clears the LSB of the next pointers.]
-
-  Description [The LSB of the next pointers are used as markers to tell
-  whether a node was reached by at least one DFS. Once the interaction
-  matrix is built, these flags are reset.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-ddClearGlobal(
-  DdManager * table)
-{
-    int i,j;
-    DdNode *f;
-    DdNode *sentinel = &(table->sentinel);
-    DdNodePtr *nodelist;
-    int slots;
-
-    for (i = 0; i < table->size; i++) {
-    nodelist = table->subtables[i].nodelist;
-    slots = table->subtables[i].slots;
-    for (j = 0; j < slots; j++) {
-        f = nodelist[j];
-        while (f != sentinel) {
-        f->next = Cudd_Regular(f->next);
-        f = f->next;
-        }
-    }
-    }
-
-} /* end of ddClearGlobal */
-
diff --git a/src/bdd/cudd/cuddLCache.c b/src/bdd/cudd/cuddLCache.c
deleted file mode 100644
index 8bd37ba0..00000000
--- a/src/bdd/cudd/cuddLCache.c
+++ /dev/null
@@ -1,1428 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddLCache.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions for local caches.]
-
-  Description [Internal procedures included in this module:
-        <ul>
-        <li> cuddLocalCacheInit()
-        <li> cuddLocalCacheQuit()
-        <li> cuddLocalCacheInsert()
-        <li> cuddLocalCacheLookup()
-        <li> cuddLocalCacheClearDead()
-        <li> cuddLocalCacheClearAll()
-        <li> cuddLocalCacheProfile()
-        <li> cuddHashTableInit()
-        <li> cuddHashTableQuit()
-        <li> cuddHashTableInsert()
-        <li> cuddHashTableLookup()
-        <li> cuddHashTableInsert2()
-        <li> cuddHashTableLookup2()
-        <li> cuddHashTableInsert3()
-        <li> cuddHashTableLookup3()
-        </ul>
-        Static procedures included in this module:
-        <ul>
-        <li> cuddLocalCacheResize()
-        <li> ddLCHash()
-        <li> cuddLocalCacheAddToList()
-        <li> cuddLocalCacheRemoveFromList()
-        <li> cuddHashTableResize()
-        <li> cuddHashTableAlloc()
-        </ul> ]
-
-  SeeAlso     []
-
-  Author      [Fabio Somenzi]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#define DD_MAX_HASHTABLE_DENSITY 2    /* tells when to resize a table */
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddLCache.c,v 1.1.1.1 2003/02/24 22:23:52 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-/**Macro***********************************************************************
-
-  Synopsis    [Computes hash function for keys of two operands.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [ddLCHash3 ddLCHash]
-
-******************************************************************************/
-#if SIZEOF_VOID_P == 8 && SIZEOF_INT == 4
-#define ddLCHash2(f,g,shift) \
-((((unsigned)(unsigned long)(f) * DD_P1 + \
-   (unsigned)(unsigned long)(g)) * DD_P2) >> (shift))
-#else
-#define ddLCHash2(f,g,shift) \
-((((unsigned)(f) * DD_P1 + (unsigned)(g)) * DD_P2) >> (shift))
-#endif
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Computes hash function for keys of three operands.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [ddLCHash2 ddLCHash]
-
-******************************************************************************/
-#define ddLCHash3(f,g,h,shift) ddCHash2(f,g,h,shift)
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static void cuddLocalCacheResize ARGS((DdLocalCache *cache));
-DD_INLINE static unsigned int ddLCHash ARGS((DdNodePtr *key, unsigned int keysize, int shift));
-static void cuddLocalCacheAddToList ARGS((DdLocalCache *cache));
-static void cuddLocalCacheRemoveFromList ARGS((DdLocalCache *cache));
-static int cuddHashTableResize ARGS((DdHashTable *hash));
-DD_INLINE static DdHashItem * cuddHashTableAlloc ARGS((DdHashTable *hash));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Initializes a local computed table.]
-
-  Description [Initializes a computed table.  Returns a pointer the
-  the new local cache in case of success; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddInitCache]
-
-******************************************************************************/
-DdLocalCache *
-cuddLocalCacheInit(
-  DdManager * manager /* manager */,
-  unsigned int  keySize /* size of the key (number of operands) */,
-  unsigned int  cacheSize /* Initial size of the cache */,
-  unsigned int  maxCacheSize /* Size of the cache beyond which no resizing occurs */)
-{
-    DdLocalCache *cache;
-    int logSize;
-
-    cache = ALLOC(DdLocalCache,1);
-    if (cache == NULL) {
-    manager->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    cache->manager = manager;
-    cache->keysize = keySize;
-    cache->itemsize = (keySize + 1) * sizeof(DdNode *);
-#ifdef DD_CACHE_PROFILE
-    cache->itemsize += sizeof(ptrint);
-#endif
-    logSize = cuddComputeFloorLog2(ddMax(cacheSize,manager->slots/2));
-    cacheSize = 1 << logSize;
-    cache->item = (DdLocalCacheItem *)
-    ALLOC(char, cacheSize * cache->itemsize);
-    if (cache->item == NULL) {
-    manager->errorCode = CUDD_MEMORY_OUT;
-    FREE(cache);
-    return(NULL);
-    }
-    cache->slots = cacheSize;
-    cache->shift = sizeof(int) * 8 - logSize;
-    cache->maxslots = ddMin(maxCacheSize,manager->slots);
-    cache->minHit = manager->minHit;
-    /* Initialize to avoid division by 0 and immediate resizing. */
-    cache->lookUps = (double) (int) (cacheSize * cache->minHit + 1);
-    cache->hits = 0;
-    manager->memused += cacheSize * cache->itemsize + sizeof(DdLocalCache);
-
-    /* Initialize the cache. */
-    memset(cache->item, 0, cacheSize * cache->itemsize);
-
-    /* Add to manager's list of local caches for GC. */
-    cuddLocalCacheAddToList(cache);
-
-    return(cache);
-
-} /* end of cuddLocalCacheInit */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Shuts down a local computed table.]
-
-  Description [Initializes the computed table. It is called by
-  Cudd_Init. Returns a pointer the the new local cache in case of
-  success; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddLocalCacheInit]
-
-******************************************************************************/
-void
-cuddLocalCacheQuit(
-  DdLocalCache * cache /* cache to be shut down */)
-{
-    cache->manager->memused -=
-    cache->slots * cache->itemsize + sizeof(DdLocalCache);
-    cuddLocalCacheRemoveFromList(cache);
-    FREE(cache->item);
-    FREE(cache);
-
-    return;
-
-} /* end of cuddLocalCacheQuit */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Inserts a result in a local cache.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-cuddLocalCacheInsert(
-  DdLocalCache * cache,
-  DdNodePtr * key,
-  DdNode * value)
-{
-    unsigned int posn;
-    DdLocalCacheItem *entry;
-
-    posn = ddLCHash(key,cache->keysize,cache->shift);
-    entry = (DdLocalCacheItem *) ((char *) cache->item +
-                  posn * cache->itemsize);
-    memcpy(entry->key,key,cache->keysize * sizeof(DdNode *));
-    entry->value = value;
-#ifdef DD_CACHE_PROFILE
-    entry->count++;
-#endif
-
-} /* end of cuddLocalCacheInsert */
-
-
-/**Function********************************************************************
-
-  Synopsis [Looks up in a local cache.]
-
-  Description [Looks up in a local cache. Returns the result if found;
-  it returns NULL if no result is found.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-cuddLocalCacheLookup(
-  DdLocalCache * cache,
-  DdNodePtr * key)
-{
-    unsigned int posn;
-    DdLocalCacheItem *entry;
-    DdNode *value;
-
-    cache->lookUps++;
-    posn = ddLCHash(key,cache->keysize,cache->shift);
-    entry = (DdLocalCacheItem *) ((char *) cache->item +
-                  posn * cache->itemsize);
-    if (entry->value != NULL &&
-    memcmp(key,entry->key,cache->keysize*sizeof(DdNode *)) == 0) {
-    cache->hits++;
-    value = Cudd_Regular(entry->value);
-    if (value->ref == 0) {
-        cuddReclaim(cache->manager,value);
-    }
-    return(entry->value);
-    }
-
-    /* Cache miss: decide whether to resize */
-
-    if (cache->slots < cache->maxslots &&
-    cache->hits > cache->lookUps * cache->minHit) {
-    cuddLocalCacheResize(cache);
-    }
-
-    return(NULL);
-
-} /* end of cuddLocalCacheLookup */
-
-
-/**Function********************************************************************
-
-  Synopsis [Clears the dead entries of the local caches of a manager.]
-
-  Description [Clears the dead entries of the local caches of a manager.
-  Used during garbage collection.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-cuddLocalCacheClearDead(
-  DdManager * manager)
-{
-    DdLocalCache *cache = manager->localCaches;
-    unsigned int keysize;
-    unsigned int itemsize;
-    unsigned int slots;
-    DdLocalCacheItem *item;
-    DdNodePtr *key;
-    unsigned int i, j;
-
-    while (cache != NULL) {
-    keysize = cache->keysize;
-    itemsize = cache->itemsize;
-    slots = cache->slots;
-    item = cache->item;
-    for (i = 0; i < slots; i++) {
-        if (item->value != NULL && Cudd_Regular(item->value)->ref == 0) {
-        item->value = NULL;
-        } else {
-        key = item->key;
-        for (j = 0; j < keysize; j++) {
-            if (Cudd_Regular(key[j])->ref == 0) {
-            item->value = NULL;
-            break;
-            }
-        }
-        }
-        item = (DdLocalCacheItem *) ((char *) item + itemsize);
-    }
-    cache = cache->next;
-    }
-    return;
-
-} /* end of cuddLocalCacheClearDead */
-
-
-/**Function********************************************************************
-
-  Synopsis [Clears the local caches of a manager.]
-
-  Description [Clears the local caches of a manager.
-  Used before reordering.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-cuddLocalCacheClearAll(
-  DdManager * manager)
-{
-    DdLocalCache *cache = manager->localCaches;
-
-    while (cache != NULL) {
-    memset(cache->item, 0, cache->slots * cache->itemsize);
-    cache = cache->next;
-    }
-    return;
-
-} /* end of cuddLocalCacheClearAll */
-
-
-#ifdef DD_CACHE_PROFILE
-
-#define DD_HYSTO_BINS 8
-
-/**Function********************************************************************
-
-  Synopsis    [Computes and prints a profile of a local cache usage.]
-
-  Description [Computes and prints a profile of a local cache usage.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddLocalCacheProfile(
-  DdLocalCache * cache)
-{
-    double count, mean, meansq, stddev, expected;
-    long max, min;
-    int imax, imin;
-    int i, retval, slots;
-    long *hystogram;
-    int nbins = DD_HYSTO_BINS;
-    int bin;
-    long thiscount;
-    double totalcount;
-    int nzeroes;
-    DdLocalCacheItem *entry;
-    FILE *fp = cache->manager->out;
-
-    slots = cache->slots;
-
-    meansq = mean = expected = 0.0;
-    max = min = (long) cache->item[0].count;
-    imax = imin = nzeroes = 0;
-    totalcount = 0.0;
-
-    hystogram = ALLOC(long, nbins);
-    if (hystogram == NULL) {
-    return(0);
-    }
-    for (i = 0; i < nbins; i++) {
-    hystogram[i] = 0;
-    }
-
-    for (i = 0; i < slots; i++) {
-    entry = (DdLocalCacheItem *) ((char *) cache->item +
-                      i * cache->itemsize);
-    thiscount = (long) entry->count;
-    if (thiscount > max) {
-        max = thiscount;
-        imax = i;
-    }
-    if (thiscount < min) {
-        min = thiscount;
-        imin = i;
-    }
-    if (thiscount == 0) {
-        nzeroes++;
-    }
-    count = (double) thiscount;
-    mean += count;
-    meansq += count * count;
-    totalcount += count;
-    expected += count * (double) i;
-    bin = (i * nbins) / slots;
-    hystogram[bin] += thiscount;
-    }
-    mean /= (double) slots;
-    meansq /= (double) slots;
-    stddev = sqrt(meansq - mean*mean);
-
-    retval = fprintf(fp,"Cache stats: slots = %d average = %g ", slots, mean);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"standard deviation = %g\n", stddev);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Cache max accesses = %ld for slot %d\n", max, imax);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Cache min accesses = %ld for slot %d\n", min, imin);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,"Cache unused slots = %d\n", nzeroes);
-    if (retval == EOF) return(0);
-
-    if (totalcount) {
-    expected /= totalcount;
-    retval = fprintf(fp,"Cache access hystogram for %d bins", nbins);
-    if (retval == EOF) return(0);
-    retval = fprintf(fp," (expected bin value = %g)\n# ", expected);
-    if (retval == EOF) return(0);
-    for (i = nbins - 1; i>=0; i--) {
-        retval = fprintf(fp,"%ld ", hystogram[i]);
-        if (retval == EOF) return(0);
-    }
-    retval = fprintf(fp,"\n");
-    if (retval == EOF) return(0);
-    }
-
-    FREE(hystogram);
-    return(1);
-
-} /* end of cuddLocalCacheProfile */
-#endif
-
-
-/**Function********************************************************************
-
-  Synopsis    [Initializes a hash table.]
-
-  Description [Initializes a hash table. Returns a pointer to the new
-  table if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddHashTableQuit]
-
-******************************************************************************/
-DdHashTable *
-cuddHashTableInit(
-  DdManager * manager,
-  unsigned int  keySize,
-  unsigned int  initSize)
-{
-    DdHashTable *hash;
-    int logSize;
-
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-    hash = ALLOC(DdHashTable, 1);
-    if (hash == NULL) {
-    manager->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    hash->keysize = keySize;
-    hash->manager = manager;
-    hash->memoryList = NULL;
-    hash->nextFree = NULL;
-    hash->itemsize = (keySize + 1) * sizeof(DdNode *) +
-    sizeof(ptrint) + sizeof(DdHashItem *);
-    /* We have to guarantee that the shift be < 32. */
-    if (initSize < 2) initSize = 2;
-    logSize = cuddComputeFloorLog2(initSize);
-    hash->numBuckets = 1 << logSize;
-    hash->shift = sizeof(int) * 8 - logSize;
-    hash->bucket = ALLOC(DdHashItem *, hash->numBuckets);
-    if (hash->bucket == NULL) {
-    manager->errorCode = CUDD_MEMORY_OUT;
-    FREE(hash);
-    return(NULL);
-    }
-    memset(hash->bucket, 0, hash->numBuckets * sizeof(DdHashItem *));
-    hash->size = 0;
-    hash->maxsize = hash->numBuckets * DD_MAX_HASHTABLE_DENSITY;
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-    return(hash);
-
-} /* end of cuddHashTableInit */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Shuts down a hash table.]
-
-  Description [Shuts down a hash table, dereferencing all the values.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddHashTableInit]
-
-******************************************************************************/
-void
-cuddHashTableQuit(
-  DdHashTable * hash)
-{
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-    unsigned int i;
-    DdManager *dd = hash->manager;
-    DdHashItem *bucket;
-    DdHashItem **memlist, **nextmem;
-    unsigned int numBuckets = hash->numBuckets;
-
-    for (i = 0; i < numBuckets; i++) {
-    bucket = hash->bucket[i];
-    while (bucket != NULL) {
-        Cudd_RecursiveDeref(dd, bucket->value);
-        bucket = bucket->next;
-    }
-    }
-
-    memlist = hash->memoryList;
-    while (memlist != NULL) {
-    nextmem = (DdHashItem **) memlist[0];
-    FREE(memlist);
-    memlist = nextmem;
-    }
-
-    FREE(hash->bucket);
-    FREE(hash);
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-
-    return;
-
-} /* end of cuddHashTableQuit */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Inserts an item in a hash table.]
-
-  Description [Inserts an item in a hash table when the key has more than
-  three pointers.  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [[cuddHashTableInsert1 cuddHashTableInsert2 cuddHashTableInsert3
-  cuddHashTableLookup]
-
-******************************************************************************/
-int
-cuddHashTableInsert(
-  DdHashTable * hash,
-  DdNodePtr * key,
-  DdNode * value,
-  ptrint count)
-{
-    int result;
-    unsigned int posn;
-    DdHashItem *item;
-    unsigned int i;
-
-#ifdef DD_DEBUG
-    assert(hash->keysize > 3);
-#endif
-
-    if (hash->size > hash->maxsize) {
-    result = cuddHashTableResize(hash);
-    if (result == 0) return(0);
-    }
-    item = cuddHashTableAlloc(hash);
-    if (item == NULL) return(0);
-    hash->size++;
-    item->value = value;
-    cuddRef(value);
-    item->count = count;
-    for (i = 0; i < hash->keysize; i++) {
-    item->key[i] = key[i];
-    }
-    posn = ddLCHash(key,hash->keysize,hash->shift);
-    item->next = hash->bucket[posn];
-    hash->bucket[posn] = item;
-
-    return(1);
-
-} /* end of cuddHashTableInsert */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Looks up a key in a hash table.]
-
-  Description [Looks up a key consisting of more than three pointers
-  in a hash table.  Returns the value associated to the key if there
-  is an entry for the given key in the table; NULL otherwise. If the
-  entry is present, its reference counter is decremented if not
-  saturated. If the counter reaches 0, the value of the entry is
-  dereferenced, and the entry is returned to the free list.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddHashTableLookup1 cuddHashTableLookup2 cuddHashTableLookup3
-  cuddHashTableInsert]
-
-******************************************************************************/
-DdNode *
-cuddHashTableLookup(
-  DdHashTable * hash,
-  DdNodePtr * key)
-{
-    unsigned int posn;
-    DdHashItem *item, *prev;
-    unsigned int i, keysize;
-
-#ifdef DD_DEBUG
-    assert(hash->keysize > 3);
-#endif
-
-    posn = ddLCHash(key,hash->keysize,hash->shift);
-    item = hash->bucket[posn];
-    prev = NULL;
-
-    keysize = hash->keysize;
-    while (item != NULL) {
-    DdNodePtr *key2 = item->key;
-    int equal = 1;
-    for (i = 0; i < keysize; i++) {
-        if (key[i] != key2[i]) {
-        equal = 0;
-        break;
-        }
-    }
-    if (equal) {
-        DdNode *value = item->value;
-        cuddSatDec(item->count);
-        if (item->count == 0) {
-        cuddDeref(value);
-        if (prev == NULL) {
-            hash->bucket[posn] = item->next;
-        } else {
-            prev->next = item->next;
-        }
-        item->next = hash->nextFree;
-        hash->nextFree = item;
-        hash->size--;
-        }
-        return(value);
-    }
-    prev = item;
-    item = item->next;
-    }
-    return(NULL);
-
-} /* end of cuddHashTableLookup */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Inserts an item in a hash table.]
-
-  Description [Inserts an item in a hash table when the key is one pointer.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddHashTableInsert cuddHashTableInsert2 cuddHashTableInsert3
-  cuddHashTableLookup1]
-
-******************************************************************************/
-int
-cuddHashTableInsert1(
-  DdHashTable * hash,
-  DdNode * f,
-  DdNode * value,
-  ptrint count)
-{
-    int result;
-    unsigned int posn;
-    DdHashItem *item;
-
-#ifdef DD_DEBUG
-    assert(hash->keysize == 1);
-#endif
-
-    if (hash->size > hash->maxsize) {
-    result = cuddHashTableResize(hash);
-    if (result == 0) return(0);
-    }
-    item = cuddHashTableAlloc(hash);
-    if (item == NULL) return(0);
-    hash->size++;
-    item->value = value;
-    cuddRef(value);
-    item->count = count;
-    item->key[0] = f;
-    posn = ddLCHash2(f,f,hash->shift);
-    item->next = hash->bucket[posn];
-    hash->bucket[posn] = item;
-
-    return(1);
-
-} /* end of cuddHashTableInsert1 */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Looks up a key consisting of one pointer in a hash table.]
-
-  Description [Looks up a key consisting of one pointer in a hash table.
-  Returns the value associated to the key if there is an entry for the given
-  key in the table; NULL otherwise. If the entry is present, its reference
-  counter is decremented if not saturated. If the counter reaches 0, the
-  value of the entry is dereferenced, and the entry is returned to the free
-  list.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddHashTableLookup cuddHashTableLookup2 cuddHashTableLookup3
-  cuddHashTableInsert1]
-
-******************************************************************************/
-DdNode *
-cuddHashTableLookup1(
-  DdHashTable * hash,
-  DdNode * f)
-{
-    unsigned int posn;
-    DdHashItem *item, *prev;
-
-#ifdef DD_DEBUG
-    assert(hash->keysize == 1);
-#endif
-
-    posn = ddLCHash2(f,f,hash->shift);
-    item = hash->bucket[posn];
-    prev = NULL;
-
-    while (item != NULL) {
-    DdNodePtr *key = item->key;
-    if (f == key[0]) {
-        DdNode *value = item->value;
-        cuddSatDec(item->count);
-        if (item->count == 0) {
-        cuddDeref(value);
-        if (prev == NULL) {
-            hash->bucket[posn] = item->next;
-        } else {
-            prev->next = item->next;
-        }
-        item->next = hash->nextFree;
-        hash->nextFree = item;
-        hash->size--;
-        }
-        return(value);
-    }
-    prev = item;
-    item = item->next;
-    }
-    return(NULL);
-
-} /* end of cuddHashTableLookup1 */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Inserts an item in a hash table.]
-
-  Description [Inserts an item in a hash table when the key is
-  composed of two pointers. Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddHashTableInsert cuddHashTableInsert1 cuddHashTableInsert3
-  cuddHashTableLookup2]
-
-******************************************************************************/
-int
-cuddHashTableInsert2(
-  DdHashTable * hash,
-  DdNode * f,
-  DdNode * g,
-  DdNode * value,
-  ptrint count)
-{
-    int result;
-    unsigned int posn;
-    DdHashItem *item;
-
-#ifdef DD_DEBUG
-    assert(hash->keysize == 2);
-#endif
-
-    if (hash->size > hash->maxsize) {
-    result = cuddHashTableResize(hash);
-    if (result == 0) return(0);
-    }
-    item = cuddHashTableAlloc(hash);
-    if (item == NULL) return(0);
-    hash->size++;
-    item->value = value;
-    cuddRef(value);
-    item->count = count;
-    item->key[0] = f;
-    item->key[1] = g;
-    posn = ddLCHash2(f,g,hash->shift);
-    item->next = hash->bucket[posn];
-    hash->bucket[posn] = item;
-
-    return(1);
-
-} /* end of cuddHashTableInsert2 */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Looks up a key consisting of two pointers in a hash table.]
-
-  Description [Looks up a key consisting of two pointer in a hash table.
-  Returns the value associated to the key if there is an entry for the given
-  key in the table; NULL otherwise. If the entry is present, its reference
-  counter is decremented if not saturated. If the counter reaches 0, the
-  value of the entry is dereferenced, and the entry is returned to the free
-  list.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddHashTableLookup cuddHashTableLookup1 cuddHashTableLookup3
-  cuddHashTableInsert2]
-
-******************************************************************************/
-DdNode *
-cuddHashTableLookup2(
-  DdHashTable * hash,
-  DdNode * f,
-  DdNode * g)
-{
-    unsigned int posn;
-    DdHashItem *item, *prev;
-
-#ifdef DD_DEBUG
-    assert(hash->keysize == 2);
-#endif
-
-    posn = ddLCHash2(f,g,hash->shift);
-    item = hash->bucket[posn];
-    prev = NULL;
-
-    while (item != NULL) {
-    DdNodePtr *key = item->key;
-    if ((f == key[0]) && (g == key[1])) {
-        DdNode *value = item->value;
-        cuddSatDec(item->count);
-        if (item->count == 0) {
-        cuddDeref(value);
-        if (prev == NULL) {
-            hash->bucket[posn] = item->next;
-        } else {
-            prev->next = item->next;
-        }
-        item->next = hash->nextFree;
-        hash->nextFree = item;
-        hash->size--;
-        }
-        return(value);
-    }
-    prev = item;
-    item = item->next;
-    }
-    return(NULL);
-
-} /* end of cuddHashTableLookup2 */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Inserts an item in a hash table.]
-
-  Description [Inserts an item in a hash table when the key is
-  composed of three pointers. Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddHashTableInsert cuddHashTableInsert1 cuddHashTableInsert2
-  cuddHashTableLookup3]
-
-******************************************************************************/
-int
-cuddHashTableInsert3(
-  DdHashTable * hash,
-  DdNode * f,
-  DdNode * g,
-  DdNode * h,
-  DdNode * value,
-  ptrint count)
-{
-    int result;
-    unsigned int posn;
-    DdHashItem *item;
-
-#ifdef DD_DEBUG
-    assert(hash->keysize == 3);
-#endif
-
-    if (hash->size > hash->maxsize) {
-    result = cuddHashTableResize(hash);
-    if (result == 0) return(0);
-    }
-    item = cuddHashTableAlloc(hash);
-    if (item == NULL) return(0);
-    hash->size++;
-    item->value = value;
-    cuddRef(value);
-    item->count = count;
-    item->key[0] = f;
-    item->key[1] = g;
-    item->key[2] = h;
-    posn = ddLCHash3(f,g,h,hash->shift);
-    item->next = hash->bucket[posn];
-    hash->bucket[posn] = item;
-
-    return(1);
-
-} /* end of cuddHashTableInsert3 */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Looks up a key consisting of three pointers in a hash table.]
-
-  Description [Looks up a key consisting of three pointers in a hash table.
-  Returns the value associated to the key if there is an entry for the given
-  key in the table; NULL otherwise. If the entry is present, its reference
-  counter is decremented if not saturated. If the counter reaches 0, the
-  value of the entry is dereferenced, and the entry is returned to the free
-  list.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddHashTableLookup cuddHashTableLookup1 cuddHashTableLookup2
-  cuddHashTableInsert3]
-
-******************************************************************************/
-DdNode *
-cuddHashTableLookup3(
-  DdHashTable * hash,
-  DdNode * f,
-  DdNode * g,
-  DdNode * h)
-{
-    unsigned int posn;
-    DdHashItem *item, *prev;
-
-#ifdef DD_DEBUG
-    assert(hash->keysize == 3);
-#endif
-
-    posn = ddLCHash3(f,g,h,hash->shift);
-    item = hash->bucket[posn];
-    prev = NULL;
-
-    while (item != NULL) {
-    DdNodePtr *key = item->key;
-    if ((f == key[0]) && (g == key[1]) && (h == key[2])) {
-        DdNode *value = item->value;
-        cuddSatDec(item->count);
-        if (item->count == 0) {
-        cuddDeref(value);
-        if (prev == NULL) {
-            hash->bucket[posn] = item->next;
-        } else {
-            prev->next = item->next;
-        }
-        item->next = hash->nextFree;
-        hash->nextFree = item;
-        hash->size--;
-        }
-        return(value);
-    }
-    prev = item;
-    item = item->next;
-    }
-    return(NULL);
-
-} /* end of cuddHashTableLookup3 */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Resizes a local cache.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-cuddLocalCacheResize(
-  DdLocalCache * cache)
-{
-    DdLocalCacheItem *item, *olditem, *entry, *old;
-    int i, shift;
-    unsigned int posn;
-    unsigned int slots, oldslots;
-    extern void (*MMoutOfMemory)(long);
-    void (*saveHandler)(long);
-
-    olditem = cache->item;
-    oldslots = cache->slots;
-    slots = cache->slots = oldslots << 1;
-
-#ifdef DD_VERBOSE
-    (void) fprintf(cache->manager->err,
-           "Resizing local cache from %d to %d entries\n",
-           oldslots, slots);
-    (void) fprintf(cache->manager->err,
-           "\thits = %.0f\tlookups = %.0f\thit ratio = %5.3f\n",
-           cache->hits, cache->lookUps, cache->hits / cache->lookUps);
-#endif
-
-    saveHandler = MMoutOfMemory;
-    MMoutOfMemory = Cudd_OutOfMem;
-    cache->item = item =
-    (DdLocalCacheItem *) ALLOC(char, slots * cache->itemsize);
-    MMoutOfMemory = saveHandler;
-    /* If we fail to allocate the new table we just give up. */
-    if (item == NULL) {
-#ifdef DD_VERBOSE
-    (void) fprintf(cache->manager->err,"Resizing failed. Giving up.\n");
-#endif
-    cache->slots = oldslots;
-    cache->item = olditem;
-    /* Do not try to resize again. */
-    cache->maxslots = oldslots - 1;
-    return;
-    }
-    shift = --(cache->shift);
-    cache->manager->memused += (slots - oldslots) * cache->itemsize;
-
-    /* Clear new cache. */
-    memset(item, 0, slots * cache->itemsize);
-
-    /* Copy from old cache to new one. */
-    for (i = 0; (unsigned) i < oldslots; i++) {
-    old = (DdLocalCacheItem *) ((char *) olditem + i * cache->itemsize);
-    if (old->value != NULL) {
-        posn = ddLCHash(old->key,cache->keysize,slots);
-        entry = (DdLocalCacheItem *) ((char *) item +
-                      posn * cache->itemsize);
-        memcpy(entry->key,old->key,cache->keysize*sizeof(DdNode *));
-        entry->value = old->value;    
-    }
-    }
-
-    FREE(olditem);
-
-    /* Reinitialize measurements so as to avoid division by 0 and
-    ** immediate resizing.
-    */
-    cache->lookUps = (double) (int) (slots * cache->minHit + 1);
-    cache->hits = 0;
-
-} /* end of cuddLocalCacheResize */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the hash value for a local cache.]
-
-  Description [Computes the hash value for a local cache. Returns the
-  bucket index.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DD_INLINE
-static unsigned int
-ddLCHash(
-  DdNodePtr * key,
-  unsigned int keysize,
-  int shift)
-{
-    unsigned int val = (unsigned int) (ptrint) key[0];
-    unsigned int i;
-
-    for (i = 1; i < keysize; i++) {
-    val = val * DD_P1 + (int) (ptrint) key[i];
-    }
-
-    return(val >> shift);
-
-} /* end of ddLCHash */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Inserts a local cache in the manager list.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-cuddLocalCacheAddToList(
-  DdLocalCache * cache)
-{
-    DdManager *manager = cache->manager;
-
-    cache->next = manager->localCaches;
-    manager->localCaches = cache;
-    return;
-
-} /* end of cuddLocalCacheAddToList */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Removes a local cache from the manager list.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-cuddLocalCacheRemoveFromList(
-  DdLocalCache * cache)
-{
-    DdManager *manager = cache->manager;
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-    DdLocalCache **prevCache, *nextCache;
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-
-    prevCache = &(manager->localCaches);
-    nextCache = manager->localCaches;
-
-    while (nextCache != NULL) {
-    if (nextCache == cache) {
-        *prevCache = nextCache->next;
-        return;
-    }
-    prevCache = &(nextCache->next);
-    nextCache = nextCache->next;
-    }
-    return;            /* should never get here */
-
-} /* end of cuddLocalCacheRemoveFromList */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Resizes a hash table.]
-
-  Description [Resizes a hash table. Returns 1 if successful; 0
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddHashTableInsert]
-
-******************************************************************************/
-static int
-cuddHashTableResize(
-  DdHashTable * hash)
-{
-    int j;
-    unsigned int posn;
-    DdHashItem *item;
-    DdHashItem *next;
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-    DdNode **key;
-    int numBuckets;
-    DdHashItem **buckets;
-    DdHashItem **oldBuckets = hash->bucket;
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-    int shift;
-    int oldNumBuckets = hash->numBuckets;
-    extern void (*MMoutOfMemory)(long);
-    void (*saveHandler)(long);
-
-    /* Compute the new size of the table. */
-    numBuckets = oldNumBuckets << 1;
-    saveHandler = MMoutOfMemory;
-    MMoutOfMemory = Cudd_OutOfMem;
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-    buckets = ALLOC(DdHashItem *, numBuckets);
-    MMoutOfMemory = saveHandler;
-    if (buckets == NULL) {
-    hash->maxsize <<= 1;
-    return(1);
-    }
-
-    hash->bucket = buckets;
-    hash->numBuckets = numBuckets;
-    shift = --(hash->shift);
-    hash->maxsize <<= 1;
-    memset(buckets, 0, numBuckets * sizeof(DdHashItem *));
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-    if (hash->keysize == 1) {
-    for (j = 0; j < oldNumBuckets; j++) {
-        item = oldBuckets[j];
-        while (item != NULL) {
-        next = item->next;
-        key = item->key;
-        posn = ddLCHash2(key[0], key[0], shift);
-        item->next = buckets[posn];
-        buckets[posn] = item;
-        item = next;
-        }
-    }
-    } else if (hash->keysize == 2) {
-    for (j = 0; j < oldNumBuckets; j++) {
-        item = oldBuckets[j];
-        while (item != NULL) {
-        next = item->next;
-        key = item->key;
-        posn = ddLCHash2(key[0], key[1], shift);
-        item->next = buckets[posn];
-        buckets[posn] = item;
-        item = next;
-        }
-    }
-    } else if (hash->keysize == 3) {
-    for (j = 0; j < oldNumBuckets; j++) {
-        item = oldBuckets[j];
-        while (item != NULL) {
-        next = item->next;
-        key = item->key;
-        posn = ddLCHash3(key[0], key[1], key[2], shift);
-        item->next = buckets[posn];
-        buckets[posn] = item;
-        item = next;
-        }
-    }
-    } else {
-    for (j = 0; j < oldNumBuckets; j++) {
-        item = oldBuckets[j];
-        while (item != NULL) {
-        next = item->next;
-        posn = ddLCHash(item->key, hash->keysize, shift);
-        item->next = buckets[posn];
-        buckets[posn] = item;
-        item = next;
-        }
-    }
-    }
-    FREE(oldBuckets);
-    return(1);
-
-} /* end of cuddHashTableResize */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Fast storage allocation for items in a hash table.]
-
-  Description [Fast storage allocation for items in a hash table. The
-  first 4 bytes of a chunk contain a pointer to the next block; the
-  rest contains DD_MEM_CHUNK spaces for hash items.  Returns a pointer to
-  a new item if successful; NULL is memory is full.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddAllocNode cuddDynamicAllocNode]
-
-******************************************************************************/
-DD_INLINE
-static DdHashItem *
-cuddHashTableAlloc(
-  DdHashTable * hash)
-{
-    int i;
-    unsigned int itemsize = hash->itemsize;
-    extern void (*MMoutOfMemory)(long);
-    void (*saveHandler)(long);
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-    DdHashItem **mem, *thisOne, *next, *item;
-
-    if (hash->nextFree == NULL) {
-    saveHandler = MMoutOfMemory;
-    MMoutOfMemory = Cudd_OutOfMem;
-    mem = (DdHashItem **) ALLOC(char,(DD_MEM_CHUNK+1) * itemsize);
-    MMoutOfMemory = saveHandler;
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-    if (mem == NULL) {
-        if (hash->manager->stash != NULL) {
-        FREE(hash->manager->stash);
-        hash->manager->stash = NULL;
-        /* Inhibit resizing of tables. */
-        hash->manager->maxCacheHard = hash->manager->cacheSlots - 1;
-        hash->manager->cacheSlack = -(hash->manager->cacheSlots + 1);
-        for (i = 0; i < hash->manager->size; i++) {
-            hash->manager->subtables[i].maxKeys <<= 2;
-        }
-        hash->manager->gcFrac = 0.2;
-        hash->manager->minDead =
-            (unsigned) (0.2 * (double) hash->manager->slots);
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-        mem = (DdHashItem **) ALLOC(char,(DD_MEM_CHUNK+1) * itemsize);
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-        }
-        if (mem == NULL) {
-        (*MMoutOfMemory)((DD_MEM_CHUNK + 1) * itemsize);
-        hash->manager->errorCode = CUDD_MEMORY_OUT;
-        return(NULL);
-        }
-    }
-
-    mem[0] = (DdHashItem *) hash->memoryList;
-    hash->memoryList = mem;
-
-    thisOne = (DdHashItem *) ((char *) mem + itemsize);
-    hash->nextFree = thisOne;
-    for (i = 1; i < DD_MEM_CHUNK; i++) {
-        next = (DdHashItem *) ((char *) thisOne + itemsize);
-        thisOne->next = next;
-        thisOne = next;
-    }
-
-    thisOne->next = NULL;
-
-    }
-    item = hash->nextFree;
-    hash->nextFree = item->next;
-    return(item);
-
-} /* end of cuddHashTableAlloc */
diff --git a/src/bdd/cudd/cuddLevelQ.c b/src/bdd/cudd/cuddLevelQ.c
deleted file mode 100644
index 3cc8e8d8..00000000
--- a/src/bdd/cudd/cuddLevelQ.c
+++ /dev/null
@@ -1,533 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddLevelQ.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Procedure to manage level queues.]
-
-  Description [The functions in this file allow an application to
-  easily manipulate a queue where nodes are prioritized by level. The
-  emphasis is on efficiency. Therefore, the queue items can have
-  variable size.  If the application does not need to attach
-  information to the nodes, it can declare the queue items to be of
-  type DdQueueItem. Otherwise, it can declare them to be of a
-  structure type such that the first three fields are data
-  pointers. The third pointer points to the node.  The first two
-  pointers are used by the level queue functions. The remaining fields
-  are initialized to 0 when a new item is created, and are then left
-  to the exclusive use of the application. On the DEC Alphas the three
-  pointers must be 32-bit pointers when CUDD is compiled with 32-bit
-  pointers.  The level queue functions make sure that each node
-  appears at most once in the queue. They do so by keeping a hash
-  table where the node is used as key.  Queue items are recycled via a
-  free list for efficiency.
-  
-  Internal procedures provided by this module:
-                <ul>
-        <li> cuddLevelQueueInit()
-        <li> cuddLevelQueueQuit()
-        <li> cuddLevelQueueEnqueue()
-        <li> cuddLevelQueueDequeue()
-        </ul>
-  Static procedures included in this module:
-        <ul>
-        <li> hashLookup()
-        <li> hashInsert()
-        <li> hashDelete()
-        <li> hashResize()
-        </ul>
-        ]
-
-  SeeAlso     []
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-               Boulder.  The University of Colorado at Boulder makes no
-           warranty about the suitability of this software for any
-           purpose.  It is presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddLevelQ.c,v 1.1.1.1 2003/02/24 22:23:52 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**Macro***********************************************************************
-
-  Synopsis    [Hash function for the table of a level queue.]
-
-  Description [Hash function for the table of a level queue.]
-
-  SideEffects [None]
-
-  SeeAlso     [hashInsert hashLookup hashDelete]
-
-******************************************************************************/
-#if SIZEOF_VOID_P == 8 && SIZEOF_INT == 4
-#define lqHash(key,shift) \
-(((unsigned)(unsigned long)(key) * DD_P1) >> (shift))
-#else
-#define lqHash(key,shift) \
-(((unsigned)(key) * DD_P1) >> (shift))
-#endif
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static DdQueueItem * hashLookup ARGS((DdLevelQueue *queue, void *key));
-static int hashInsert ARGS((DdLevelQueue *queue, DdQueueItem *item));
-static void hashDelete ARGS((DdLevelQueue *queue, DdQueueItem *item));
-static int hashResize ARGS((DdLevelQueue *queue));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Initializes a level queue.]
-
-  Description [Initializes a level queue. A level queue is a queue
-  where inserts are based on the levels of the nodes. Within each
-  level the policy is FIFO. Level queues are useful in traversing a
-  BDD top-down. Queue items are kept in a free list when dequeued for
-  efficiency. Returns a pointer to the new queue if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddLevelQueueQuit cuddLevelQueueEnqueue cuddLevelQueueDequeue]
-
-******************************************************************************/
-DdLevelQueue *
-cuddLevelQueueInit(
-  int  levels /* number of levels */,
-  int  itemSize /* size of the item */,
-  int  numBuckets /* initial number of hash buckets */)
-{
-    DdLevelQueue *queue;
-    int logSize;
-
-    queue = ALLOC(DdLevelQueue,1);
-    if (queue == NULL)
-    return(NULL);
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-    /* Keep pointers to the insertion points for all levels. */
-    queue->last = ALLOC(DdQueueItem *, levels);
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-    if (queue->last == NULL) {
-    FREE(queue);
-    return(NULL);
-    }
-    /* Use a hash table to test for uniqueness. */
-    if (numBuckets < 2) numBuckets = 2;
-    logSize = cuddComputeFloorLog2(numBuckets);
-    queue->numBuckets = 1 << logSize;
-    queue->shift = sizeof(int) * 8 - logSize;
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-    queue->buckets = ALLOC(DdQueueItem *, queue->numBuckets);
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-    if (queue->buckets == NULL) {
-    FREE(queue->last);
-    FREE(queue);
-    return(NULL);
-    }
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-    memset(queue->last, 0, levels * sizeof(DdQueueItem *));
-    memset(queue->buckets, 0, queue->numBuckets * sizeof(DdQueueItem *));
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-    queue->first = NULL;
-    queue->freelist = NULL;
-    queue->levels = levels;
-    queue->itemsize = itemSize;
-    queue->size = 0;
-    queue->maxsize = queue->numBuckets * DD_MAX_SUBTABLE_DENSITY;
-    return(queue);
-
-} /* end of cuddLevelQueueInit */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Shuts down a level queue.]
-
-  Description [Shuts down a level queue and releases all the
-  associated memory.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddLevelQueueInit]
-
-******************************************************************************/
-void
-cuddLevelQueueQuit(
-  DdLevelQueue * queue)
-{
-    DdQueueItem *item;
-
-    while (queue->freelist != NULL) {
-    item = queue->freelist;
-    queue->freelist = item->next;
-    FREE(item);
-    }
-    while (queue->first != NULL) {
-    item = (DdQueueItem *) queue->first;
-    queue->first = item->next;
-    FREE(item);
-    }
-    FREE(queue->buckets);
-    FREE(queue->last);
-    FREE(queue);
-    return;
-
-} /* end of cuddLevelQueueQuit */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Inserts a new key in a level queue.]
-
-  Description [Inserts a new key in a level queue. A new entry is
-  created in the queue only if the node is not already
-  enqueued. Returns a pointer to the queue item if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddLevelQueueInit cuddLevelQueueDequeue]
-
-******************************************************************************/
-void *
-cuddLevelQueueEnqueue(
-  DdLevelQueue * queue /* level queue */,
-  void * key /* key to be enqueued */,
-  int  level /* level at which to insert */)
-{
-    int plevel;
-    DdQueueItem *item;
-
-#ifdef DD_DEBUG
-    assert(level < queue->levels);
-#endif
-    /* Check whether entry for this node exists. */
-    item = hashLookup(queue,key);
-    if (item != NULL) return(item);
-
-    /* Get a free item from either the free list or the memory manager. */
-    if (queue->freelist == NULL) {
-    item = (DdQueueItem *) ALLOC(char, queue->itemsize);
-    if (item == NULL)
-        return(NULL);
-    } else {
-    item = queue->freelist;
-    queue->freelist = item->next;
-    }
-    /* Initialize. */
-    memset(item, 0, queue->itemsize);
-    item->key = key;
-    /* Update stats. */
-    queue->size++;
-
-    if (queue->last[level]) {
-    /* There are already items for this level in the queue. */
-    item->next = queue->last[level]->next;
-    queue->last[level]->next = item;
-    } else {
-    /* There are no items at the current level.  Look for the first
-    ** non-empty level preceeding this one. */
-    plevel = level;
-    while (plevel != 0 && queue->last[plevel] == NULL)
-        plevel--;
-    if (queue->last[plevel] == NULL) {
-        /* No element precedes this one in the queue. */
-        item->next = (DdQueueItem *) queue->first;
-        queue->first = item;
-    } else {
-        item->next = queue->last[plevel]->next;
-        queue->last[plevel]->next = item;
-    }
-    }
-    queue->last[level] = item;
-
-    /* Insert entry for the key in the hash table. */
-    if (hashInsert(queue,item) == 0) {
-    return(NULL);
-    }
-    return(item);
-
-} /* end of cuddLevelQueueEnqueue */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Remove an item from the front of a level queue.]
-
-  Description [Remove an item from the front of a level queue.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddLevelQueueEnqueue]
-
-******************************************************************************/
-void
-cuddLevelQueueDequeue(
-  DdLevelQueue * queue,
-  int  level)
-{
-    DdQueueItem *item = (DdQueueItem *) queue->first;
-
-    /* Delete from the hash table. */
-    hashDelete(queue,item);
-
-    /* Since we delete from the front, if this is the last item for
-    ** its level, there are no other items for the same level. */
-    if (queue->last[level] == item)
-    queue->last[level] = NULL;
-
-    queue->first = item->next;
-    /* Put item on the free list. */
-    item->next = queue->freelist;
-    queue->freelist = item;
-    /* Update stats. */
-    queue->size--;
-    return;
-
-} /* end of cuddLevelQueueDequeue */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Looks up a key in the hash table of a level queue.]
-
-  Description [Looks up a key in the hash table of a level queue. Returns
-  a pointer to the item with the given key if the key is found; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddLevelQueueEnqueue hashInsert]
-
-******************************************************************************/
-static DdQueueItem *
-hashLookup(
-  DdLevelQueue * queue,
-  void * key)
-{
-    int posn;
-    DdQueueItem *item;
-
-    posn = lqHash(key,queue->shift);
-    item = queue->buckets[posn];
-
-    while (item != NULL) {
-    if (item->key == key) {
-        return(item);
-    }
-    item = item->cnext;
-    }
-    return(NULL);
-
-} /* end of hashLookup */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Inserts an item in the hash table of a level queue.]
-
-  Description [Inserts an item in the hash table of a level queue. Returns
-  1 if successful; 0 otherwise. No check is performed to see if an item with
-  the same key is already in the hash table.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddLevelQueueEnqueue]
-
-******************************************************************************/
-static int
-hashInsert(
-  DdLevelQueue * queue,
-  DdQueueItem * item)
-{
-    int result;
-    int posn;
-
-    if (queue->size > queue->maxsize) {
-    result = hashResize(queue);
-    if (result == 0) return(0);
-    }
-
-    posn = lqHash(item->key,queue->shift);
-    item->cnext = queue->buckets[posn];
-    queue->buckets[posn] = item;
-
-    return(1);
-    
-} /* end of hashInsert */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Removes an item from the hash table of a level queue.]
-
-  Description [Removes an item from the hash table of a level queue.
-  Nothing is done if the item is not in the table.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddLevelQueueDequeue hashInsert]
-
-******************************************************************************/
-static void
-hashDelete(
-  DdLevelQueue * queue,
-  DdQueueItem * item)
-{
-    int posn;
-    DdQueueItem *prevItem;
-
-    posn = lqHash(item->key,queue->shift);
-    prevItem = queue->buckets[posn];
-
-    if (prevItem == NULL) return;
-    if (prevItem == item) {
-    queue->buckets[posn] = prevItem->cnext;
-    return;
-    }
-
-    while (prevItem->cnext != NULL) {
-    if (prevItem->cnext == item) {
-        prevItem->cnext = item->cnext;
-        return;
-    }
-    prevItem = prevItem->cnext;
-    }
-    return;
-
-} /* end of hashDelete */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Resizes the hash table of a level queue.]
-
-  Description [Resizes the hash table of a level queue. Returns 1 if
-  successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [hashInsert]
-
-******************************************************************************/
-static int
-hashResize(
-  DdLevelQueue * queue)
-{
-    int j;
-    int posn;
-    DdQueueItem *item;
-    DdQueueItem *next;
-    int numBuckets;
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-    DdQueueItem **buckets;
-    DdQueueItem **oldBuckets = queue->buckets;
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-    int shift;
-    int oldNumBuckets = queue->numBuckets;
-    extern void (*MMoutOfMemory)(long);
-    void (*saveHandler)(long);
-
-    /* Compute the new size of the subtable. */
-    numBuckets = oldNumBuckets << 1;
-    saveHandler = MMoutOfMemory;
-    MMoutOfMemory = Cudd_OutOfMem;
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-    buckets = queue->buckets = ALLOC(DdQueueItem *, numBuckets);
-    if (buckets == NULL) {
-    queue->maxsize <<= 1;
-    return(1);
-    }
-
-    queue->numBuckets = numBuckets;
-    shift = --(queue->shift);
-    queue->maxsize <<= 1;
-    memset(buckets, 0, numBuckets * sizeof(DdQueueItem *));
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-    for (j = 0; j < oldNumBuckets; j++) {
-    item = oldBuckets[j];
-    while (item != NULL) {
-        next = item->cnext;
-        posn = lqHash(item->key, shift);
-        item->cnext = buckets[posn];
-        buckets[posn] = item;
-        item = next;
-    }
-    }
-    FREE(oldBuckets);
-    return(1);
-
-} /* end of hashResize */
diff --git a/src/bdd/cudd/cuddLinear.c b/src/bdd/cudd/cuddLinear.c
deleted file mode 100644
index 7f6b3678..00000000
--- a/src/bdd/cudd/cuddLinear.c
+++ /dev/null
@@ -1,1333 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddLinear.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions for DD reduction by linear transformations.]
-
-  Description [ Internal procedures included in this module:
-        <ul>
-        <li> cuddLinearAndSifting()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> ddLinearUniqueCompare()
-        <li> ddLinearAndSiftingAux()
-        <li> ddLinearAndSiftingUp()
-        <li> ddLinearAndSiftingDown()
-        <li> ddLinearAndSiftingBackward()
-        <li> ddUndoMoves()
-        <li> ddUpdateInteractionMatrix()
-        <li> cuddLinearInPlace()
-        <li> cuddInitLinear()
-        <li> cuddResizeLinear()
-        <li> cuddXorLinear()
-        </ul>]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#define CUDD_SWAP_MOVE 0
-#define CUDD_LINEAR_TRANSFORM_MOVE 1
-#define CUDD_INVERSE_TRANSFORM_MOVE 2
-#if SIZEOF_LONG == 8
-#define BPL 64
-#define LOGBPL 6
-#else
-#define BPL 32
-#define LOGBPL 5
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddLinear.c,v 1.1.1.1 2003/02/24 22:23:52 wjiang Exp $";
-#endif
-
-static    int    *entry;
-
-#ifdef DD_STATS
-extern    int    ddTotalNumberSwapping;
-extern    int    ddTotalNISwaps;
-static    int    ddTotalNumberLinearTr;
-#endif
-
-#ifdef DD_DEBUG
-static    int    zero = 0;
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int ddLinearUniqueCompare ARGS((int *ptrX, int *ptrY));
-static int ddLinearAndSiftingAux ARGS((DdManager *table, int x, int xLow, int xHigh));
-static Move * ddLinearAndSiftingUp ARGS((DdManager *table, int y, int xLow, Move *prevMoves));
-static Move * ddLinearAndSiftingDown ARGS((DdManager *table, int x, int xHigh, Move *prevMoves));
-static int ddLinearAndSiftingBackward ARGS((DdManager *table, int size, Move *moves));
-static Move* ddUndoMoves ARGS((DdManager *table, Move *moves));
-static int cuddLinearInPlace ARGS((DdManager *table, int x, int y));
-static void ddUpdateInteractionMatrix ARGS((DdManager *table, int xindex, int yindex));
-static int cuddInitLinear ARGS((DdManager *table));
-static int cuddResizeLinear ARGS((DdManager *table));
-static void cuddXorLinear ARGS((DdManager *table, int x, int y));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
- 
-  Synopsis    [Prints the linear transform matrix.]
-
-  Description [Prints the linear transform matrix. Returns 1 in case of
-  success; 0 otherwise.]
-
-  SideEffects [none]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-Cudd_PrintLinear(
-  DdManager * table)
-{
-    int i,j,k;
-    int retval;
-    int nvars = table->linearSize;
-    int wordsPerRow = ((nvars - 1) >> LOGBPL) + 1;
-    long word;
-
-    for (i = 0; i < nvars; i++) {
-    for (j = 0; j < wordsPerRow; j++) {
-        word = table->linear[i*wordsPerRow + j];
-        for (k = 0; k < BPL; k++) {
-        retval = fprintf(table->out,"%ld",word & 1);
-        if (retval == 0) return(0);
-        word >>= 1;
-        }
-    }
-    retval = fprintf(table->out,"\n");
-    if (retval == 0) return(0);
-    }
-    return(1);
-
-} /* end of Cudd_PrintLinear */
-
-
-/**Function********************************************************************
- 
-  Synopsis    [Reads an entry of the linear transform matrix.]
-
-  Description [Reads an entry of the linear transform matrix.]
-
-  SideEffects [none]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-Cudd_ReadLinear(
-  DdManager * table /* CUDD manager */,
-  int  x /* row index */,
-  int  y /* column index */)
-{
-    int nvars = table->size;
-    int wordsPerRow = ((nvars - 1) >> LOGBPL) + 1;
-    long word;
-    int bit;
-    int result;
-
-    assert(table->size == table->linearSize);
-
-    word = wordsPerRow * x + (y >> LOGBPL);
-    bit  = y & (BPL-1);
-    result = (int) ((table->linear[word] >> bit) & 1);
-    return(result);
-
-} /* end of Cudd_ReadLinear */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [BDD reduction based on combination of sifting and linear
-  transformations.]
-
-  Description [BDD reduction based on combination of sifting and linear
-  transformations.  Assumes that no dead nodes are present.
-    <ol>
-    <li> Order all the variables according to the number of entries
-    in each unique table.
-    <li> Sift the variable up and down, remembering each time the
-    total size of the DD heap. At each position, linear transformation
-    of the two adjacent variables is tried and is accepted if it reduces
-    the size of the DD.
-    <li> Select the best permutation.
-    <li> Repeat 3 and 4 for all variables.
-    </ol>
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-int
-cuddLinearAndSifting(
-  DdManager * table,
-  int  lower,
-  int  upper)
-{
-    int        i;
-    int        *var;
-    int        size;
-    int        x;
-    int        result;
-#ifdef DD_STATS
-    int        previousSize;
-#endif
-
-#ifdef DD_STATS
-    ddTotalNumberLinearTr = 0;
-#endif
-
-    size = table->size;
-
-    var = NULL;
-    entry = NULL;
-    if (table->linear == NULL) {
-    result = cuddInitLinear(table);
-    if (result == 0) goto cuddLinearAndSiftingOutOfMem; 
-#if 0
-    (void) fprintf(table->out,"\n");
-    result = Cudd_PrintLinear(table);
-    if (result == 0) goto cuddLinearAndSiftingOutOfMem; 
-#endif
-    } else if (table->size != table->linearSize) {
-    result = cuddResizeLinear(table);
-    if (result == 0) goto cuddLinearAndSiftingOutOfMem; 
-#if 0
-    (void) fprintf(table->out,"\n");
-    result = Cudd_PrintLinear(table);
-    if (result == 0) goto cuddLinearAndSiftingOutOfMem; 
-#endif
-    }
-
-    /* Find order in which to sift variables. */
-    entry = ALLOC(int,size);
-    if (entry == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto cuddLinearAndSiftingOutOfMem;
-    }
-    var = ALLOC(int,size);
-    if (var == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto cuddLinearAndSiftingOutOfMem;
-    }
-
-    for (i = 0; i < size; i++) {
-    x = table->perm[i];
-    entry[i] = table->subtables[x].keys;
-    var[i] = i;
-    }
-
-    qsort((void *)var,size,sizeof(int),(int (*)(const void *, const void *))ddLinearUniqueCompare);
-
-    /* Now sift. */
-    for (i = 0; i < ddMin(table->siftMaxVar,size); i++) {
-    x = table->perm[var[i]];
-    if (x < lower || x > upper) continue;
-#ifdef DD_STATS
-    previousSize = table->keys - table->isolated;
-#endif
-    result = ddLinearAndSiftingAux(table,x,lower,upper);
-    if (!result) goto cuddLinearAndSiftingOutOfMem; 
-#ifdef DD_STATS
-    if (table->keys < (unsigned) previousSize + table->isolated) {
-        (void) fprintf(table->out,"-");
-    } else if (table->keys > (unsigned) previousSize + table->isolated) {
-        (void) fprintf(table->out,"+");    /* should never happen */
-        (void) fprintf(table->out,"\nSize increased from %d to %d while sifting variable %d\n", previousSize, table->keys - table->isolated, var[i]);
-    } else {
-        (void) fprintf(table->out,"=");
-    }
-    fflush(table->out);
-#endif
-#ifdef DD_DEBUG
-    (void) Cudd_DebugCheck(table);
-#endif
-    }
-
-    FREE(var);
-    FREE(entry);
-
-#ifdef DD_STATS
-    (void) fprintf(table->out,"\n#:L_LINSIFT %8d: linear trans.",
-           ddTotalNumberLinearTr);
-#endif
-
-    return(1);
-
-cuddLinearAndSiftingOutOfMem:
-
-    if (entry != NULL) FREE(entry);
-    if (var != NULL) FREE(var);
-
-    return(0); 
-
-} /* end of cuddLinearAndSifting */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Comparison function used by qsort.]
-
-  Description [Comparison function used by qsort to order the
-  variables according to the number of keys in the subtables.
-  Returns the difference in number of keys between the two
-  variables being compared.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddLinearUniqueCompare(
-  int * ptrX,
-  int * ptrY)
-{
-#if 0
-    if (entry[*ptrY] == entry[*ptrX]) {
-    return((*ptrX) - (*ptrY));
-    }
-#endif
-    return(entry[*ptrY] - entry[*ptrX]);
-
-} /* end of ddLinearUniqueCompare */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Given xLow <= x <= xHigh moves x up and down between the
-  boundaries.]
-
-  Description [Given xLow <= x <= xHigh moves x up and down between the
-  boundaries. At each step a linear transformation is tried, and, if it
-  decreases the size of the DD, it is accepted. Finds the best position
-  and does the required changes.  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddLinearAndSiftingAux(
-  DdManager * table,
-  int  x,
-  int  xLow,
-  int  xHigh)
-{
-
-    Move    *move;
-    Move    *moveUp;        /* list of up moves */
-    Move    *moveDown;        /* list of down moves */
-    int        initialSize;
-    int        result;
-
-    initialSize = table->keys - table->isolated;
-
-    moveDown = NULL;
-    moveUp = NULL;
-
-    if (x == xLow) {
-    moveDown = ddLinearAndSiftingDown(table,x,xHigh,NULL);
-    /* At this point x --> xHigh unless bounding occurred. */
-    if (moveDown == (Move *) CUDD_OUT_OF_MEM) goto ddLinearAndSiftingAuxOutOfMem;
-    /* Move backward and stop at best position. */    
-    result = ddLinearAndSiftingBackward(table,initialSize,moveDown);
-    if (!result) goto ddLinearAndSiftingAuxOutOfMem;
-
-    } else if (x == xHigh) {
-    moveUp = ddLinearAndSiftingUp(table,x,xLow,NULL);
-    /* At this point x --> xLow unless bounding occurred. */
-    if (moveUp == (Move *) CUDD_OUT_OF_MEM) goto ddLinearAndSiftingAuxOutOfMem;
-    /* Move backward and stop at best position. */
-    result = ddLinearAndSiftingBackward(table,initialSize,moveUp);
-    if (!result) goto ddLinearAndSiftingAuxOutOfMem;
-
-    } else if ((x - xLow) > (xHigh - x)) { /* must go down first: shorter */
-    moveDown = ddLinearAndSiftingDown(table,x,xHigh,NULL);
-    /* At this point x --> xHigh unless bounding occurred. */
-    if (moveDown == (Move *) CUDD_OUT_OF_MEM) goto ddLinearAndSiftingAuxOutOfMem;
-    moveUp = ddUndoMoves(table,moveDown);
-#ifdef DD_DEBUG
-    assert(moveUp == NULL || moveUp->x == x);
-#endif
-    moveUp = ddLinearAndSiftingUp(table,x,xLow,moveUp);
-    if (moveUp == (Move *) CUDD_OUT_OF_MEM) goto ddLinearAndSiftingAuxOutOfMem;
-    /* Move backward and stop at best position. */    
-    result = ddLinearAndSiftingBackward(table,initialSize,moveUp);
-    if (!result) goto ddLinearAndSiftingAuxOutOfMem;
-
-    } else { /* must go up first: shorter */
-    moveUp = ddLinearAndSiftingUp(table,x,xLow,NULL);
-    /* At this point x --> xLow unless bounding occurred. */
-    if (moveUp == (Move *) CUDD_OUT_OF_MEM) goto ddLinearAndSiftingAuxOutOfMem;
-    moveDown = ddUndoMoves(table,moveUp);
-#ifdef DD_DEBUG
-    assert(moveDown == NULL || moveDown->y == x);
-#endif
-    moveDown = ddLinearAndSiftingDown(table,x,xHigh,moveDown);
-    if (moveDown == (Move *) CUDD_OUT_OF_MEM) goto ddLinearAndSiftingAuxOutOfMem;
-    /* Move backward and stop at best position. */    
-    result = ddLinearAndSiftingBackward(table,initialSize,moveDown);
-    if (!result) goto ddLinearAndSiftingAuxOutOfMem;
-    }
-
-    while (moveDown != NULL) {
-    move = moveDown->next;
-    cuddDeallocNode(table, (DdNode *) moveDown);
-    moveDown = move;
-    }
-    while (moveUp != NULL) {
-    move = moveUp->next;
-    cuddDeallocNode(table, (DdNode *) moveUp);
-    moveUp = move;
-    }
-
-    return(1);
-
-ddLinearAndSiftingAuxOutOfMem:
-    while (moveDown != NULL) {
-    move = moveDown->next;
-    cuddDeallocNode(table, (DdNode *) moveDown);
-    moveDown = move;
-    }
-    while (moveUp != NULL) {
-    move = moveUp->next;
-    cuddDeallocNode(table, (DdNode *) moveUp);
-    moveUp = move;
-    }
-
-    return(0);
-
-} /* end of ddLinearAndSiftingAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sifts a variable up and applies linear transformations.]
-
-  Description [Sifts a variable up and applies linear transformations.
-  Moves y up until either it reaches the bound (xLow) or the size of
-  the DD heap increases too much.  Returns the set of moves in case of
-  success; NULL if memory is full.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static Move *
-ddLinearAndSiftingUp(
-  DdManager * table,
-  int  y,
-  int  xLow,
-  Move * prevMoves)
-{
-    Move    *moves;
-    Move    *move;
-    int        x;
-    int        size, newsize;
-    int        limitSize;
-    int        xindex, yindex;
-    int        isolated;
-    int        L;    /* lower bound on DD size */
-#ifdef DD_DEBUG
-    int checkL;
-    int z;
-    int zindex;
-#endif
-
-    moves = prevMoves;
-    yindex = table->invperm[y];
-
-    /* Initialize the lower bound.
-    ** The part of the DD below y will not change.
-    ** The part of the DD above y that does not interact with y will not
-    ** change. The rest may vanish in the best case, except for
-    ** the nodes at level xLow, which will not vanish, regardless.
-    */
-    limitSize = L = table->keys - table->isolated;
-    for (x = xLow + 1; x < y; x++) {
-    xindex = table->invperm[x];
-    if (cuddTestInteract(table,xindex,yindex)) {
-        isolated = table->vars[xindex]->ref == 1;
-        L -= table->subtables[x].keys - isolated;
-    }
-    }
-    isolated = table->vars[yindex]->ref == 1;
-    L -= table->subtables[y].keys - isolated;
-
-    x = cuddNextLow(table,y);
-    while (x >= xLow && L <= limitSize) {
-    xindex = table->invperm[x];
-#ifdef DD_DEBUG
-    checkL = table->keys - table->isolated;
-    for (z = xLow + 1; z < y; z++) {
-        zindex = table->invperm[z];
-        if (cuddTestInteract(table,zindex,yindex)) {
-        isolated = table->vars[zindex]->ref == 1;
-        checkL -= table->subtables[z].keys - isolated;
-        }
-    }
-    isolated = table->vars[yindex]->ref == 1;
-    checkL -= table->subtables[y].keys - isolated;
-    if (L != checkL) {
-        (void) fprintf(table->out, "checkL(%d) != L(%d)\n",checkL,L);
-    }
-#endif
-    size = cuddSwapInPlace(table,x,y);
-    if (size == 0) goto ddLinearAndSiftingUpOutOfMem;
-    newsize = cuddLinearInPlace(table,x,y);
-    if (newsize == 0) goto ddLinearAndSiftingUpOutOfMem;
-    move = (Move *) cuddDynamicAllocNode(table);
-    if (move == NULL) goto ddLinearAndSiftingUpOutOfMem;
-    move->x = x;
-    move->y = y;
-    move->next = moves;
-    moves = move;
-    move->flags = CUDD_SWAP_MOVE;
-    if (newsize >= size) {
-        /* Undo transformation. The transformation we apply is
-        ** its own inverse. Hence, we just apply the transformation
-        ** again.
-        */
-        newsize = cuddLinearInPlace(table,x,y);
-        if (newsize == 0) goto ddLinearAndSiftingUpOutOfMem;
-#ifdef DD_DEBUG
-        if (newsize != size) {
-        (void) fprintf(table->out,"Change in size after identity transformation! From %d to %d\n",size,newsize);
-        }
-#endif
-    } else if (cuddTestInteract(table,xindex,yindex)) {
-        size = newsize;
-        move->flags = CUDD_LINEAR_TRANSFORM_MOVE;
-        ddUpdateInteractionMatrix(table,xindex,yindex);
-    }
-    move->size = size;
-    /* Update the lower bound. */
-    if (cuddTestInteract(table,xindex,yindex)) {
-        isolated = table->vars[xindex]->ref == 1;
-        L += table->subtables[y].keys - isolated;
-    }
-    if ((double) size > (double) limitSize * table->maxGrowth) break;
-    if (size < limitSize) limitSize = size;
-    y = x;
-    x = cuddNextLow(table,y);
-    }
-    return(moves);
-
-ddLinearAndSiftingUpOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *) moves);
-    moves = move;
-    }
-    return((Move *) CUDD_OUT_OF_MEM);
-
-} /* end of ddLinearAndSiftingUp */
-    
-
-/**Function********************************************************************
-
-  Synopsis    [Sifts a variable down and applies linear transformations.]
-
-  Description [Sifts a variable down and applies linear
-  transformations. Moves x down until either it reaches the bound
-  (xHigh) or the size of the DD heap increases too much. Returns the
-  set of moves in case of success; NULL if memory is full.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static Move *
-ddLinearAndSiftingDown(
-  DdManager * table,
-  int  x,
-  int  xHigh,
-  Move * prevMoves)
-{
-    Move    *moves;
-    Move    *move;
-    int        y;
-    int        size, newsize;
-    int        R;    /* upper bound on node decrease */
-    int        limitSize;
-    int        xindex, yindex;
-    int        isolated;
-#ifdef DD_DEBUG
-    int        checkR;
-    int        z;
-    int        zindex;
-#endif
-
-    moves = prevMoves;
-    /* Initialize R */
-    xindex = table->invperm[x];
-    limitSize = size = table->keys - table->isolated;
-    R = 0;
-    for (y = xHigh; y > x; y--) {
-    yindex = table->invperm[y];
-    if (cuddTestInteract(table,xindex,yindex)) {
-        isolated = table->vars[yindex]->ref == 1;
-        R += table->subtables[y].keys - isolated;
-    }
-    }
-
-    y = cuddNextHigh(table,x);
-    while (y <= xHigh && size - R < limitSize) {
-#ifdef DD_DEBUG
-    checkR = 0;
-    for (z = xHigh; z > x; z--) {
-        zindex = table->invperm[z];
-        if (cuddTestInteract(table,xindex,zindex)) {
-        isolated = table->vars[zindex]->ref == 1;
-        checkR += table->subtables[z].keys - isolated;
-        }
-    }
-    if (R != checkR) {
-        (void) fprintf(table->out, "checkR(%d) != R(%d)\n",checkR,R);
-    }
-#endif
-    /* Update upper bound on node decrease. */
-    yindex = table->invperm[y];
-    if (cuddTestInteract(table,xindex,yindex)) {
-        isolated = table->vars[yindex]->ref == 1;
-        R -= table->subtables[y].keys - isolated;
-    }
-    size = cuddSwapInPlace(table,x,y);
-    if (size == 0) goto ddLinearAndSiftingDownOutOfMem; 
-    newsize = cuddLinearInPlace(table,x,y);
-    if (newsize == 0) goto ddLinearAndSiftingDownOutOfMem;
-    move = (Move *) cuddDynamicAllocNode(table);
-    if (move == NULL) goto ddLinearAndSiftingDownOutOfMem;
-    move->x = x;
-    move->y = y;
-    move->next = moves;
-    moves = move;
-    move->flags = CUDD_SWAP_MOVE;
-    if (newsize >= size) {
-        /* Undo transformation. The transformation we apply is
-        ** its own inverse. Hence, we just apply the transformation
-        ** again.
-        */
-        newsize = cuddLinearInPlace(table,x,y);
-        if (newsize == 0) goto ddLinearAndSiftingDownOutOfMem;
-        if (newsize != size) {
-        (void) fprintf(table->out,"Change in size after identity transformation! From %d to %d\n",size,newsize);
-        }
-    } else if (cuddTestInteract(table,xindex,yindex)) {
-        size = newsize;
-        move->flags = CUDD_LINEAR_TRANSFORM_MOVE;
-        ddUpdateInteractionMatrix(table,xindex,yindex);
-    }
-    move->size = size;
-    if ((double) size > (double) limitSize * table->maxGrowth) break;
-    if (size < limitSize) limitSize = size;
-    x = y;
-    y = cuddNextHigh(table,x);
-    }
-    return(moves);
-
-ddLinearAndSiftingDownOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *) moves);
-    moves = move;
-    }
-    return((Move *) CUDD_OUT_OF_MEM);
-
-} /* end of ddLinearAndSiftingDown */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Given a set of moves, returns the DD heap to the order
-  giving the minimum size.]
-
-  Description [Given a set of moves, returns the DD heap to the
-  position giving the minimum size. In case of ties, returns to the
-  closest position giving the minimum size. Returns 1 in case of
-  success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddLinearAndSiftingBackward(
-  DdManager * table,
-  int  size,
-  Move * moves)
-{
-    Move *move;
-    int    res;
-
-    for (move = moves; move != NULL; move = move->next) {
-    if (move->size < size) {
-        size = move->size;
-    }
-    }
-
-    for (move = moves; move != NULL; move = move->next) {
-    if (move->size == size) return(1);
-    if (move->flags == CUDD_LINEAR_TRANSFORM_MOVE) {
-        res = cuddLinearInPlace(table,(int)move->x,(int)move->y);
-        if (!res) return(0);
-    }
-    res = cuddSwapInPlace(table,(int)move->x,(int)move->y);
-    if (!res) return(0);
-    if (move->flags == CUDD_INVERSE_TRANSFORM_MOVE) {
-        res = cuddLinearInPlace(table,(int)move->x,(int)move->y);
-        if (!res) return(0);
-    }
-    }
-
-    return(1);
-
-} /* end of ddLinearAndSiftingBackward */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Given a set of moves, returns the DD heap to the order
-  in effect before the moves.]
-
-  Description [Given a set of moves, returns the DD heap to the
-  order in effect before the moves.  Returns 1 in case of success;
-  0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static Move*
-ddUndoMoves(
-  DdManager * table,
-  Move * moves)
-{
-    Move *invmoves = NULL;
-    Move *move;
-    Move *invmove;
-    int    size;
-
-    for (move = moves; move != NULL; move = move->next) {
-    invmove = (Move *) cuddDynamicAllocNode(table);
-    if (invmove == NULL) goto ddUndoMovesOutOfMem;
-    invmove->x = move->x;
-    invmove->y = move->y;
-    invmove->next = invmoves;
-    invmoves = invmove;
-    if (move->flags == CUDD_SWAP_MOVE) {
-        invmove->flags = CUDD_SWAP_MOVE;
-        size = cuddSwapInPlace(table,(int)move->x,(int)move->y);
-        if (!size) goto ddUndoMovesOutOfMem;
-    } else if (move->flags == CUDD_LINEAR_TRANSFORM_MOVE) {
-        invmove->flags = CUDD_INVERSE_TRANSFORM_MOVE;
-        size = cuddLinearInPlace(table,(int)move->x,(int)move->y);
-        if (!size) goto ddUndoMovesOutOfMem;
-        size = cuddSwapInPlace(table,(int)move->x,(int)move->y);
-        if (!size) goto ddUndoMovesOutOfMem;
-    } else { /* must be CUDD_INVERSE_TRANSFORM_MOVE */
-#ifdef DD_DEBUG
-        (void) fprintf(table->err,"Unforseen event in ddUndoMoves!\n");
-#endif
-        invmove->flags = CUDD_LINEAR_TRANSFORM_MOVE;
-        size = cuddSwapInPlace(table,(int)move->x,(int)move->y);
-        if (!size) goto ddUndoMovesOutOfMem;
-        size = cuddLinearInPlace(table,(int)move->x,(int)move->y);
-        if (!size) goto ddUndoMovesOutOfMem;
-    }
-    invmove->size = size;
-    }
-
-    return(invmoves);
-
-ddUndoMovesOutOfMem:
-    while (invmoves != NULL) {
-    move = invmoves->next;
-    cuddDeallocNode(table, (DdNode *) invmoves);
-    invmoves = move;
-    }
-    return((Move *) CUDD_OUT_OF_MEM);
-
-} /* end of ddUndoMoves */
-
-
-/**Function********************************************************************
- 
-  Synopsis    [Linearly combines two adjacent variables.]
-
-  Description [Linearly combines two adjacent variables. Specifically,
-  replaces the top variable with the exclusive nor of the two variables.
-  It assumes that no dead nodes are present on entry to this
-  procedure.  The procedure then guarantees that no dead nodes will be
-  present when it terminates.  cuddLinearInPlace assumes that x &lt;
-  y.  Returns the number of keys in the table if successful; 0
-  otherwise.]
-
-  SideEffects [The two subtables corrresponding to variables x and y are
-  modified. The global counters of the unique table are also affected.]
-
-  SeeAlso     [cuddSwapInPlace]
-
-******************************************************************************/
-static int
-cuddLinearInPlace(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    DdNodePtr *xlist, *ylist;
-    int    xindex, yindex;
-    int    xslots, yslots;
-    int    xshift, yshift;
-    int    oldxkeys, oldykeys;
-    int    newxkeys, newykeys;
-    int    comple, newcomplement;
-    int    i;
-    int    posn;
-    int    isolated;
-    DdNode *f,*f0,*f1,*f01,*f00,*f11,*f10,*newf1,*newf0;
-    DdNode *g,*next,*last;
-    DdNodePtr *previousP;
-    DdNode *tmp;
-    DdNode *sentinel = &(table->sentinel);
-#if DD_DEBUG
-    int    count, idcheck;
-#endif
-
-#ifdef DD_DEBUG
-    assert(x < y);
-    assert(cuddNextHigh(table,x) == y);
-    assert(table->subtables[x].keys != 0);
-    assert(table->subtables[y].keys != 0);
-    assert(table->subtables[x].dead == 0);
-    assert(table->subtables[y].dead == 0);
-#endif
-
-    xindex = table->invperm[x];
-    yindex = table->invperm[y];
-
-    if (cuddTestInteract(table,xindex,yindex)) {
-#ifdef DD_STATS
-    ddTotalNumberLinearTr++;
-#endif
-    /* Get parameters of x subtable. */
-    xlist = table->subtables[x].nodelist; 
-    oldxkeys = table->subtables[x].keys;
-    xslots = table->subtables[x].slots;
-    xshift = table->subtables[x].shift;
-
-    /* Get parameters of y subtable. */
-    ylist = table->subtables[y].nodelist;
-    oldykeys = table->subtables[y].keys;
-    yslots = table->subtables[y].slots;
-    yshift = table->subtables[y].shift;
-
-    newxkeys = 0;
-    newykeys = oldykeys;
-
-    /* Check whether the two projection functions involved in this
-    ** swap are isolated. At the end, we'll be able to tell how many
-    ** isolated projection functions are there by checking only these
-    ** two functions again. This is done to eliminate the isolated
-    ** projection functions from the node count.
-    */
-    isolated = - ((table->vars[xindex]->ref == 1) +
-             (table->vars[yindex]->ref == 1));
-
-    /* The nodes in the x layer are put in a chain.
-    ** The chain is handled as a FIFO; g points to the beginning and
-    ** last points to the end.
-    */
-    g = NULL;
-    for (i = 0; i < xslots; i++) {
-        f = xlist[i];
-        if (f == sentinel) continue;
-        xlist[i] = sentinel;
-        if (g == NULL) {
-        g = f;
-        } else {
-        last->next = f;
-        }
-        while ((next = f->next) != sentinel) {
-        f = next;
-        } /* while there are elements in the collision chain */
-        last = f;
-    } /* for each slot of the x subtable */
-    last->next = NULL;
-
-#ifdef DD_COUNT
-    table->swapSteps += oldxkeys;
-#endif
-    /* Take care of the x nodes that must be re-expressed.
-    ** They form a linked list pointed by g.
-    */
-    f = g;
-    while (f != NULL) {
-        next = f->next;
-        /* Find f1, f0, f11, f10, f01, f00. */
-        f1 = cuddT(f);
-#ifdef DD_DEBUG
-        assert(!(Cudd_IsComplement(f1)));
-#endif
-        if ((int) f1->index == yindex) {
-        f11 = cuddT(f1); f10 = cuddE(f1);
-        } else {
-        f11 = f10 = f1;
-        }
-#ifdef DD_DEBUG
-        assert(!(Cudd_IsComplement(f11)));
-#endif
-        f0 = cuddE(f);
-        comple = Cudd_IsComplement(f0);
-        f0 = Cudd_Regular(f0);
-        if ((int) f0->index == yindex) {
-        f01 = cuddT(f0); f00 = cuddE(f0);
-        } else {
-        f01 = f00 = f0;
-        }
-        if (comple) {
-        f01 = Cudd_Not(f01);
-        f00 = Cudd_Not(f00);
-        }
-        /* Decrease ref count of f1. */
-        cuddSatDec(f1->ref);
-        /* Create the new T child. */
-        if (f11 == f00) {
-        newf1 = f11;
-        cuddSatInc(newf1->ref);
-        } else {
-        /* Check ylist for triple (yindex,f11,f00). */
-        posn = ddHash(f11, f00, yshift);
-        /* For each element newf1 in collision list ylist[posn]. */
-        previousP = &(ylist[posn]);
-        newf1 = *previousP;
-        while (f11 < cuddT(newf1)) {
-            previousP = &(newf1->next);
-            newf1 = *previousP;
-        }
-        while (f11 == cuddT(newf1) && f00 < cuddE(newf1)) {
-            previousP = &(newf1->next);
-            newf1 = *previousP;
-        }
-        if (cuddT(newf1) == f11 && cuddE(newf1) == f00) {
-            cuddSatInc(newf1->ref);
-        } else { /* no match */
-            newf1 = cuddDynamicAllocNode(table);
-            if (newf1 == NULL)
-            goto cuddLinearOutOfMem;
-            newf1->index = yindex; newf1->ref = 1;
-            cuddT(newf1) = f11;
-            cuddE(newf1) = f00;
-            /* Insert newf1 in the collision list ylist[posn];
-            ** increase the ref counts of f11 and f00.
-            */
-            newykeys++;
-            newf1->next = *previousP;
-            *previousP = newf1;
-            cuddSatInc(f11->ref);
-            tmp = Cudd_Regular(f00);
-            cuddSatInc(tmp->ref);
-        }
-        }
-        cuddT(f) = newf1;
-#ifdef DD_DEBUG
-        assert(!(Cudd_IsComplement(newf1)));
-#endif
-
-        /* Do the same for f0, keeping complement dots into account. */
-        /* decrease ref count of f0 */
-        tmp = Cudd_Regular(f0);
-        cuddSatDec(tmp->ref);
-        /* create the new E child */
-        if (f01 == f10) {
-        newf0 = f01;
-        tmp = Cudd_Regular(newf0);
-        cuddSatInc(tmp->ref); 
-        } else {
-        /* make sure f01 is regular */
-        newcomplement = Cudd_IsComplement(f01);
-        if (newcomplement) {
-            f01 = Cudd_Not(f01);
-            f10 = Cudd_Not(f10);
-        }
-        /* Check ylist for triple (yindex,f01,f10). */
-        posn = ddHash(f01, f10, yshift);
-        /* For each element newf0 in collision list ylist[posn]. */
-        previousP = &(ylist[posn]);
-        newf0 = *previousP;
-        while (f01 < cuddT(newf0)) {
-            previousP = &(newf0->next);
-            newf0 = *previousP;
-        }
-        while (f01 == cuddT(newf0) && f10 < cuddE(newf0)) {
-            previousP = &(newf0->next);
-            newf0 = *previousP;
-        }
-        if (cuddT(newf0) == f01 && cuddE(newf0) == f10) {
-            cuddSatInc(newf0->ref); 
-        } else { /* no match */
-            newf0 = cuddDynamicAllocNode(table);
-            if (newf0 == NULL)
-            goto cuddLinearOutOfMem;
-            newf0->index = yindex; newf0->ref = 1;
-            cuddT(newf0) = f01;
-            cuddE(newf0) = f10;
-            /* Insert newf0 in the collision list ylist[posn];
-            ** increase the ref counts of f01 and f10.
-            */
-            newykeys++;
-            newf0->next = *previousP;
-            *previousP = newf0;
-            cuddSatInc(f01->ref);
-            tmp = Cudd_Regular(f10);
-            cuddSatInc(tmp->ref);
-        }
-        if (newcomplement) {
-            newf0 = Cudd_Not(newf0);
-        }
-        }
-        cuddE(f) = newf0;
-
-        /* Re-insert the modified f in xlist.
-        ** The modified f does not already exists in xlist.
-        ** (Because of the uniqueness of the cofactors.)
-        */
-        posn = ddHash(newf1, newf0, xshift);
-        newxkeys++;
-        previousP = &(xlist[posn]);
-        tmp = *previousP;
-        while (newf1 < cuddT(tmp)) {
-        previousP = &(tmp->next);
-        tmp = *previousP;
-        }
-        while (newf1 == cuddT(tmp) && newf0 < cuddE(tmp)) {
-        previousP = &(tmp->next);
-        tmp = *previousP;
-        }
-        f->next = *previousP;
-        *previousP = f;
-        f = next;
-    } /* while f != NULL */
-
-    /* GC the y layer. */
-
-    /* For each node f in ylist. */
-    for (i = 0; i < yslots; i++) {
-        previousP = &(ylist[i]);
-        f = *previousP;
-        while (f != sentinel) {
-        next = f->next;
-        if (f->ref == 0) {
-            tmp = cuddT(f);
-            cuddSatDec(tmp->ref);
-            tmp = Cudd_Regular(cuddE(f));
-            cuddSatDec(tmp->ref);
-            cuddDeallocNode(table,f);
-            newykeys--;
-        } else {
-            *previousP = f;
-            previousP = &(f->next);
-        }
-        f = next;
-        } /* while f */
-        *previousP = sentinel;
-    } /* for every collision list */
-
-#if DD_DEBUG
-#if 0
-    (void) fprintf(table->out,"Linearly combining %d and %d\n",x,y);
-#endif
-    count = 0;
-    idcheck = 0;
-    for (i = 0; i < yslots; i++) {
-        f = ylist[i];
-        while (f != sentinel) {
-        count++;
-        if (f->index != (DdHalfWord) yindex)
-            idcheck++;
-        f = f->next;
-        }
-    }
-    if (count != newykeys) {
-        fprintf(table->err,"Error in finding newykeys\toldykeys = %d\tnewykeys = %d\tactual = %d\n",oldykeys,newykeys,count);
-    }
-    if (idcheck != 0)
-        fprintf(table->err,"Error in id's of ylist\twrong id's = %d\n",idcheck);
-    count = 0;
-    idcheck = 0;
-    for (i = 0; i < xslots; i++) {
-        f = xlist[i];
-        while (f != sentinel) {
-        count++;
-        if (f->index != (DdHalfWord) xindex)
-            idcheck++;
-        f = f->next;
-        }
-    }
-    if (count != newxkeys || newxkeys != oldxkeys) {
-        fprintf(table->err,"Error in finding newxkeys\toldxkeys = %d \tnewxkeys = %d \tactual = %d\n",oldxkeys,newxkeys,count);
-    }
-    if (idcheck != 0)
-        fprintf(table->err,"Error in id's of xlist\twrong id's = %d\n",idcheck);
-#endif
-
-    isolated += (table->vars[xindex]->ref == 1) +
-            (table->vars[yindex]->ref == 1);
-    table->isolated += isolated;
-
-    /* Set the appropriate fields in table. */
-    table->subtables[y].keys = newykeys;
-
-    /* Here we should update the linear combination table
-    ** to record that x <- x EXNOR y. This is done by complementing
-    ** the (x,y) entry of the table.
-    */
-
-    table->keys += newykeys - oldykeys;
-
-    cuddXorLinear(table,xindex,yindex);
-    }
-
-#ifdef DD_DEBUG
-    if (zero) {
-    (void) Cudd_DebugCheck(table);
-    }
-#endif
-
-    return(table->keys - table->isolated);
-
-cuddLinearOutOfMem:
-    (void) fprintf(table->err,"Error: cuddLinearInPlace out of memory\n");
-
-    return (0);
-
-} /* end of cuddLinearInPlace */
-
-
-/**Function********************************************************************
- 
-  Synopsis    [Updates the interaction matrix.]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-ddUpdateInteractionMatrix(
-  DdManager * table,
-  int  xindex,
-  int  yindex)
-{
-    int i;
-    for (i = 0; i < yindex; i++) {
-    if (i != xindex && cuddTestInteract(table,i,yindex)) {
-        if (i < xindex) {
-        cuddSetInteract(table,i,xindex);
-        } else {
-        cuddSetInteract(table,xindex,i);
-        }
-    }
-    }
-    for (i = yindex+1; i < table->size; i++) {
-    if (i != xindex && cuddTestInteract(table,yindex,i)) {
-        if (i < xindex) {
-        cuddSetInteract(table,i,xindex);
-        } else {
-        cuddSetInteract(table,xindex,i);
-        }
-    }
-    }
-
-} /* end of ddUpdateInteractionMatrix */
-
-
-/**Function********************************************************************
- 
-  Synopsis    [Initializes the linear transform matrix.]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-cuddInitLinear(
-  DdManager * table)
-{
-    int words;
-    int wordsPerRow;
-    int nvars;
-    int word;
-    int bit;
-    int i;
-    long *linear;
-
-    nvars = table->size;
-    wordsPerRow = ((nvars - 1) >> LOGBPL) + 1;
-    words = wordsPerRow * nvars;
-    table->linear = linear = ALLOC(long,words);
-    if (linear == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    table->memused += words * sizeof(long);
-    table->linearSize = nvars;
-    for (i = 0; i < words; i++) linear[i] = 0;
-    for (i = 0; i < nvars; i++) {
-    word = wordsPerRow * i + (i >> LOGBPL);
-    bit  = i & (BPL-1);
-    linear[word] = 1 << bit;
-    }
-    return(1);
-
-} /* end of cuddInitLinear */
-
-
-/**Function********************************************************************
- 
-  Synopsis    [Resizes the linear transform matrix.]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-cuddResizeLinear(
-  DdManager * table)
-{
-    int words,oldWords;
-    int wordsPerRow,oldWordsPerRow;
-    int nvars,oldNvars;
-    int word,oldWord;
-    int bit;
-    int i,j;
-    long *linear,*oldLinear;
-
-    oldNvars = table->linearSize;
-    oldWordsPerRow = ((oldNvars - 1) >> LOGBPL) + 1;
-    oldWords = oldWordsPerRow * oldNvars;
-    oldLinear = table->linear;
-
-    nvars = table->size;
-    wordsPerRow = ((nvars - 1) >> LOGBPL) + 1;
-    words = wordsPerRow * nvars;
-    table->linear = linear = ALLOC(long,words);
-    if (linear == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    table->memused += (words - oldWords) * sizeof(long);
-    for (i = 0; i < words; i++) linear[i] = 0;
-
-    /* Copy old matrix. */
-    for (i = 0; i < oldNvars; i++) {
-    for (j = 0; j < oldWordsPerRow; j++) {
-        oldWord = oldWordsPerRow * i + j;
-        word = wordsPerRow * i + j;
-        linear[word] = oldLinear[oldWord];
-    }
-    }
-    FREE(oldLinear);
-
-    /* Add elements to the diagonal. */
-    for (i = oldNvars; i < nvars; i++) {
-    word = wordsPerRow * i + (i >> LOGBPL);
-    bit  = i & (BPL-1);
-    linear[word] = 1 << bit;
-    }
-    table->linearSize = nvars;
-
-    return(1);
-
-} /* end of cuddResizeLinear */
-
-
-/**Function********************************************************************
- 
-  Synopsis    [XORs two rows of the linear transform matrix.]
-
-  Description [XORs two rows of the linear transform matrix and replaces
-  the first row with the result.]
-
-  SideEffects [none]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-cuddXorLinear(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    int i;
-    int nvars = table->size;
-    int wordsPerRow = ((nvars - 1) >> LOGBPL) + 1;
-    int xstart = wordsPerRow * x;
-    int ystart = wordsPerRow * y;
-    long *linear = table->linear;
-
-    for (i = 0; i < wordsPerRow; i++) {
-    linear[xstart+i] ^= linear[ystart+i];
-    }
-
-} /* end of cuddXorLinear */
-
diff --git a/src/bdd/cudd/cuddLiteral.c b/src/bdd/cudd/cuddLiteral.c
deleted file mode 100644
index 43740690..00000000
--- a/src/bdd/cudd/cuddLiteral.c
+++ /dev/null
@@ -1,237 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddLiteral.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions for manipulation of literal sets represented by
-  BDDs.]
-
-  Description [External procedures included in this file:
-        <ul>
-        <li> Cudd_bddLiteralSetIntersection()
-        </ul>
-        Internal procedures included in this file:
-        <ul>
-        <li> cuddBddLiteralSetIntersectionRecur()
-        </ul>]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddLiteral.c,v 1.1.1.1 2003/02/24 22:23:52 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the intesection of two sets of literals
-  represented as BDDs.]
-
-  Description [Computes the intesection of two sets of literals
-  represented as BDDs. Each set is represented as a cube of the
-  literals in the set. The empty set is represented by the constant 1.
-  No variable can be simultaneously present in both phases in a set.
-  Returns a pointer to the BDD representing the intersected sets, if
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-DdNode *
-Cudd_bddLiteralSetIntersection(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddBddLiteralSetIntersectionRecur(dd,f,g);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_bddLiteralSetIntersection */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of
-  Cudd_bddLiteralSetIntersection.]
-
-  Description [Performs the recursive step of
-  Cudd_bddLiteralSetIntersection. Scans the cubes for common variables,
-  and checks whether they agree in phase.  Returns a pointer to the
-  resulting cube if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-DdNode *
-cuddBddLiteralSetIntersectionRecur(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode *res, *tmp;
-    DdNode *F, *G;
-    DdNode *fc, *gc;
-    DdNode *one;
-    DdNode *zero;
-    unsigned int topf, topg, comple;
-    int phasef, phaseg;
-
-    statLine(dd);
-    if (f == g) return(f);
-
-    F = Cudd_Regular(f);
-    G = Cudd_Regular(g);
-    one = DD_ONE(dd);
-
-    /* Here f != g. If F == G, then f and g are complementary.
-    ** Since they are two cubes, this case only occurs when f == v,
-    ** g == v', and v is a variable or its complement.
-    */
-    if (F == G) return(one);
-
-    zero = Cudd_Not(one);
-    topf = cuddI(dd,F->index);
-    topg = cuddI(dd,G->index);
-    /* Look for a variable common to both cubes. If there are none, this
-    ** loop will stop when the constant node is reached in both cubes.
-    */
-    while (topf != topg) {
-    if (topf < topg) {    /* move down on f */
-        comple = f != F;
-        f = cuddT(F);
-        if (comple) f = Cudd_Not(f);
-        if (f == zero) {
-        f = cuddE(F);
-        if (comple) f = Cudd_Not(f);
-        }
-        F = Cudd_Regular(f);
-        topf = cuddI(dd,F->index);
-    } else if (topg < topf) {
-        comple = g != G;
-        g = cuddT(G);
-        if (comple) g = Cudd_Not(g);
-        if (g == zero) {
-        g = cuddE(G);
-        if (comple) g = Cudd_Not(g);
-        }
-        G = Cudd_Regular(g);
-        topg = cuddI(dd,G->index);
-    }
-    }
-
-    /* At this point, f == one <=> g == 1. It suffices to test one of them. */
-    if (f == one) return(one);
-
-    res = cuddCacheLookup2(dd,Cudd_bddLiteralSetIntersection,f,g);
-    if (res != NULL) {
-    return(res);
-    }
-
-    /* Here f and g are both non constant and have the same top variable. */
-    comple = f != F;
-    fc = cuddT(F);
-    phasef = 1;
-    if (comple) fc = Cudd_Not(fc);
-    if (fc == zero) {
-    fc = cuddE(F);
-    phasef = 0;
-    if (comple) fc = Cudd_Not(fc);
-    }
-    comple = g != G;
-    gc = cuddT(G);
-    phaseg = 1;
-    if (comple) gc = Cudd_Not(gc);
-    if (gc == zero) {
-    gc = cuddE(G);
-    phaseg = 0;
-    if (comple) gc = Cudd_Not(gc);
-    }
-
-    tmp = cuddBddLiteralSetIntersectionRecur(dd,fc,gc);
-    if (tmp == NULL) {
-    return(NULL);
-    }
-
-    if (phasef != phaseg) {
-    res = tmp;
-    } else {
-    cuddRef(tmp);
-    if (phasef == 0) {
-        res = cuddBddAndRecur(dd,Cudd_Not(dd->vars[F->index]),tmp);
-    } else {
-        res = cuddBddAndRecur(dd,dd->vars[F->index],tmp);
-    }
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd,tmp);
-        return(NULL);
-    }
-    cuddDeref(tmp); /* Just cuddDeref, because it is included in result */
-    }
-
-    cuddCacheInsert2(dd,Cudd_bddLiteralSetIntersection,f,g,res);
-
-    return(res);
-
-} /* end of cuddBddLiteralSetIntersectionRecur */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
diff --git a/src/bdd/cudd/cuddMatMult.c b/src/bdd/cudd/cuddMatMult.c
deleted file mode 100644
index 345e7921..00000000
--- a/src/bdd/cudd/cuddMatMult.c
+++ /dev/null
@@ -1,680 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddMatMult.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Matrix multiplication functions.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_addMatrixMultiply()
-        <li> Cudd_addTimesPlus()
-        <li> Cudd_addTriangle()
-        <li> Cudd_addOuterSum()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> addMMRecur()
-        <li> addTriangleRecur()
-        <li> cuddAddOuterSumRecur()
-        </ul>]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddMatMult.c,v 1.1.1.1 2003/02/24 22:23:52 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static DdNode * addMMRecur ARGS((DdManager *dd, DdNode *A, DdNode *B, int topP, int *vars));
-static DdNode * addTriangleRecur ARGS((DdManager *dd, DdNode *f, DdNode *g, int *vars, DdNode *cube));
-static DdNode * cuddAddOuterSumRecur ARGS((DdManager *dd, DdNode *M, DdNode *r, DdNode *c));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis [Calculates the product of two matrices represented as
-  ADDs.]
-
-  Description [Calculates the product of two matrices, A and B,
-  represented as ADDs. This procedure implements the quasiring multiplication
-  algorithm.  A is assumed to depend on variables x (rows) and z
-  (columns).  B is assumed to depend on variables z (rows) and y
-  (columns).  The product of A and B then depends on x (rows) and y
-  (columns).  Only the z variables have to be explicitly identified;
-  they are the "summation" variables.  Returns a pointer to the
-  result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addTimesPlus Cudd_addTriangle Cudd_bddAndAbstract]
-
-******************************************************************************/
-DdNode *
-Cudd_addMatrixMultiply(
-  DdManager * dd,
-  DdNode * A,
-  DdNode * B,
-  DdNode ** z,
-  int  nz)
-{
-    int i, nvars, *vars;
-    DdNode *res; 
-
-    /* Array vars says what variables are "summation" variables. */
-    nvars = dd->size;
-    vars = ALLOC(int,nvars);
-    if (vars == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    for (i = 0; i < nvars; i++) {
-        vars[i] = 0;
-    }
-    for (i = 0; i < nz; i++) {
-        vars[z[i]->index] = 1;
-    }
-
-    do {
-    dd->reordered = 0;
-    res = addMMRecur(dd,A,B,-1,vars);
-    } while (dd->reordered == 1);
-    FREE(vars);
-    return(res);
-
-} /* end of Cudd_addMatrixMultiply */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Calculates the product of two matrices represented as
-  ADDs.]
-
-  Description [Calculates the product of two matrices, A and B,
-  represented as ADDs, using the CMU matrix by matrix multiplication
-  procedure by Clarke et al..  Matrix A has x's as row variables and z's
-  as column variables, while matrix B has z's as row variables and y's
-  as column variables. Returns the pointer to the result if successful;
-  NULL otherwise. The resulting matrix has x's as row variables and y's
-  as column variables.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addMatrixMultiply]
-
-******************************************************************************/
-DdNode *
-Cudd_addTimesPlus(
-  DdManager * dd,
-  DdNode * A,
-  DdNode * B,
-  DdNode ** z,
-  int  nz)
-{
-    DdNode *w, *cube, *tmp, *res; 
-    int i;
-    tmp = Cudd_addApply(dd,Cudd_addTimes,A,B);
-    if (tmp == NULL) return(NULL);
-    Cudd_Ref(tmp);
-    Cudd_Ref(cube = DD_ONE(dd));
-    for (i = nz-1; i >= 0; i--) {
-     w = Cudd_addIte(dd,z[i],cube,DD_ZERO(dd));
-     if (w == NULL) {
-        Cudd_RecursiveDeref(dd,tmp);
-        return(NULL);
-     }
-     Cudd_Ref(w);
-     Cudd_RecursiveDeref(dd,cube);
-     cube = w;
-    }
-    res = Cudd_addExistAbstract(dd,tmp,cube);
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd,tmp);
-    Cudd_RecursiveDeref(dd,cube);
-    return(NULL);
-    }
-    Cudd_Ref(res);
-    Cudd_RecursiveDeref(dd,cube);
-    Cudd_RecursiveDeref(dd,tmp);
-    Cudd_Deref(res);
-    return(res);
-
-} /* end of Cudd_addTimesPlus */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the triangulation step for the shortest path
-  computation.]
-
-  Description [Implements the semiring multiplication algorithm used in
-  the triangulation step for the shortest path computation.  f
-  is assumed to depend on variables x (rows) and z (columns).  g is
-  assumed to depend on variables z (rows) and y (columns).  The product
-  of f and g then depends on x (rows) and y (columns).  Only the z
-  variables have to be explicitly identified; they are the
-  "abstraction" variables.  Returns a pointer to the result if
-  successful; NULL otherwise. ]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addMatrixMultiply Cudd_bddAndAbstract]
-
-******************************************************************************/
-DdNode *
-Cudd_addTriangle(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g,
-  DdNode ** z,
-  int  nz)
-{
-    int    i, nvars, *vars;
-    DdNode *res, *cube;
-
-    nvars = dd->size;
-    vars = ALLOC(int, nvars);
-    if (vars == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    for (i = 0; i < nvars; i++) vars[i] = -1;
-    for (i = 0; i < nz; i++) vars[z[i]->index] = i;
-    cube = Cudd_addComputeCube(dd, z, NULL, nz);
-    if (cube == NULL) {
-    FREE(vars);
-    return(NULL);
-    }
-    cuddRef(cube);
-
-    do {
-    dd->reordered = 0;
-    res = addTriangleRecur(dd, f, g, vars, cube);
-    } while (dd->reordered == 1);
-    if (res != NULL) cuddRef(res);
-    Cudd_RecursiveDeref(dd,cube);
-    if (res != NULL) cuddDeref(res);
-    FREE(vars);
-    return(res);
-
-} /* end of Cudd_addTriangle */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Takes the minimum of a matrix and the outer sum of two vectors.]
-
-  Description [Takes the pointwise minimum of a matrix and the outer
-  sum of two vectors.  This procedure is used in the Floyd-Warshall
-  all-pair shortest path algorithm.  Returns a pointer to the result if
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-Cudd_addOuterSum(
-  DdManager *dd,
-  DdNode *M,
-  DdNode *r,
-  DdNode *c)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddAddOuterSumRecur(dd, M, r, c);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_addOuterSum */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_addMatrixMultiply.]
-
-  Description [Performs the recursive step of Cudd_addMatrixMultiply.
-  Returns a pointer to the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static DdNode *
-addMMRecur(
-  DdManager * dd,
-  DdNode * A,
-  DdNode * B,
-  int  topP,
-  int * vars)
-{
-    DdNode *zero,
-           *At,        /* positive cofactor of first operand */
-       *Ae,        /* negative cofactor of first operand */
-       *Bt,        /* positive cofactor of second operand */
-       *Be,        /* negative cofactor of second operand */
-       *t,        /* positive cofactor of result */
-       *e,        /* negative cofactor of result */
-       *scaled,    /* scaled result */
-       *add_scale,    /* ADD representing the scaling factor */
-       *res;
-    int    i;        /* loop index */
-    double scale;    /* scaling factor */
-    int index;        /* index of the top variable */
-    CUDD_VALUE_TYPE value;
-    unsigned int topA, topB, topV;
-    DdNode *(*cacheOp)(DdManager *, DdNode *, DdNode *);
-
-    statLine(dd);
-    zero = DD_ZERO(dd);
-
-    if (A == zero || B == zero) {
-        return(zero);
-    }
-
-    if (cuddIsConstant(A) && cuddIsConstant(B)) {
-    /* Compute the scaling factor. It is 2^k, where k is the
-    ** number of summation variables below the current variable.
-    ** Indeed, these constants represent blocks of 2^k identical
-    ** constant values in both A and B.
-    */
-    value = cuddV(A) * cuddV(B);
-    for (i = 0; i < dd->size; i++) {
-        if (vars[i]) {
-        if (dd->perm[i] > topP) {
-            value *= (CUDD_VALUE_TYPE) 2;
-        }
-        }
-    }
-    res = cuddUniqueConst(dd, value);
-    return(res);
-    }
-
-    /* Standardize to increase cache efficiency. Clearly, A*B != B*A
-    ** in matrix multiplication. However, which matrix is which is
-    ** determined by the variables appearing in the ADDs and not by
-    ** which one is passed as first argument.
-    */
-    if (A > B) {
-    DdNode *tmp = A;
-    A = B;
-    B = tmp;
-    }
-
-    topA = cuddI(dd,A->index); topB = cuddI(dd,B->index);
-    topV = ddMin(topA,topB);
-
-    cacheOp = (DdNode *(*)(DdManager *, DdNode *, DdNode *)) addMMRecur;
-    res = cuddCacheLookup2(dd,cacheOp,A,B);
-    if (res != NULL) {
-    /* If the result is 0, there is no need to normalize.
-    ** Otherwise we count the number of z variables between
-    ** the current depth and the top of the ADDs. These are
-    ** the missing variables that determine the size of the
-    ** constant blocks.
-    */
-    if (res == zero) return(res);
-    scale = 1.0;
-    for (i = 0; i < dd->size; i++) {
-        if (vars[i]) {
-        if (dd->perm[i] > topP && (unsigned) dd->perm[i] < topV) {
-            scale *= 2;
-        }
-        }
-    }
-    if (scale > 1.0) {
-        cuddRef(res);
-        add_scale = cuddUniqueConst(dd,(CUDD_VALUE_TYPE)scale);
-        if (add_scale == NULL) {
-        Cudd_RecursiveDeref(dd, res);
-        return(NULL);
-        }
-        cuddRef(add_scale);
-        scaled = cuddAddApplyRecur(dd,Cudd_addTimes,res,add_scale);
-        if (scaled == NULL) {
-        Cudd_RecursiveDeref(dd, add_scale);
-        Cudd_RecursiveDeref(dd, res);
-        return(NULL);
-        }
-        cuddRef(scaled);
-        Cudd_RecursiveDeref(dd, add_scale);
-        Cudd_RecursiveDeref(dd, res);
-        res = scaled;
-        cuddDeref(res);
-    }
-        return(res);
-    }
-
-    /* compute the cofactors */
-    if (topV == topA) {
-    At = cuddT(A);
-    Ae = cuddE(A);
-    } else {
-    At = Ae = A;
-    }
-    if (topV == topB) {
-    Bt = cuddT(B);
-    Be = cuddE(B);
-    } else {
-    Bt = Be = B;
-    }
-
-    t = addMMRecur(dd, At, Bt, (int)topV, vars);
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-    e = addMMRecur(dd, Ae, Be, (int)topV, vars);
-    if (e == NULL) {
-    Cudd_RecursiveDeref(dd, t);
-    return(NULL);
-    }
-    cuddRef(e);
-
-    index = dd->invperm[topV];
-    if (vars[index] == 0) {
-    /* We have split on either the rows of A or the columns
-    ** of B. We just need to connect the two subresults,
-    ** which correspond to two submatrices of the result.
-    */
-    res = (t == e) ? t : cuddUniqueInter(dd,index,t,e);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd, t);
-        Cudd_RecursiveDeref(dd, e);
-        return(NULL);
-    }
-    cuddRef(res);
-    cuddDeref(t);
-    cuddDeref(e);
-    } else {
-    /* we have simultaneously split on the columns of A and
-    ** the rows of B. The two subresults must be added.
-    */
-    res = cuddAddApplyRecur(dd,Cudd_addPlus,t,e);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd, t);
-        Cudd_RecursiveDeref(dd, e);
-        return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(dd, t);
-    Cudd_RecursiveDeref(dd, e);
-    }
-
-    cuddCacheInsert2(dd,cacheOp,A,B,res);
-
-    /* We have computed (and stored in the computed table) a minimal
-    ** result; that is, a result that assumes no summation variables
-    ** between the current depth of the recursion and its top
-    ** variable. We now take into account the z variables by properly
-    ** scaling the result.
-    */
-    if (res != zero) {
-    scale = 1.0;
-    for (i = 0; i < dd->size; i++) {
-        if (vars[i]) {
-        if (dd->perm[i] > topP && (unsigned) dd->perm[i] < topV) {
-            scale *= 2;
-        }
-        }
-    }
-    if (scale > 1.0) {
-        add_scale = cuddUniqueConst(dd,(CUDD_VALUE_TYPE)scale);
-        if (add_scale == NULL) {
-        Cudd_RecursiveDeref(dd, res);
-        return(NULL);
-        }
-        cuddRef(add_scale);
-        scaled = cuddAddApplyRecur(dd,Cudd_addTimes,res,add_scale);
-        if (scaled == NULL) {
-        Cudd_RecursiveDeref(dd, res);
-        Cudd_RecursiveDeref(dd, add_scale);
-        return(NULL);
-        }
-        cuddRef(scaled);
-        Cudd_RecursiveDeref(dd, add_scale);
-        Cudd_RecursiveDeref(dd, res);
-        res = scaled;
-    }
-    }
-    cuddDeref(res);
-    return(res);
-
-} /* end of addMMRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_addTriangle.]
-
-  Description [Performs the recursive step of Cudd_addTriangle. Returns
-  a pointer to the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static DdNode *
-addTriangleRecur(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g,
-  int * vars,
-  DdNode *cube)
-{
-    DdNode *fv, *fvn, *gv, *gvn, *t, *e, *res;
-    CUDD_VALUE_TYPE value;
-    int top, topf, topg, index;
-
-    statLine(dd);
-    if (f == DD_PLUS_INFINITY(dd) || g == DD_PLUS_INFINITY(dd)) {
-    return(DD_PLUS_INFINITY(dd));
-    }
-
-    if (cuddIsConstant(f) && cuddIsConstant(g)) {
-    value = cuddV(f) + cuddV(g);
-    res = cuddUniqueConst(dd, value);
-    return(res);
-    }
-    if (f < g) {
-    DdNode *tmp = f;
-    f = g;
-    g = tmp;
-    }
-
-    if (f->ref != 1 || g->ref != 1) {
-    res = cuddCacheLookup(dd, DD_ADD_TRIANGLE_TAG, f, g, cube);
-    if (res != NULL) {
-        return(res);
-    }
-    }
-
-    topf = cuddI(dd,f->index); topg = cuddI(dd,g->index);
-    top = ddMin(topf,topg);
-
-    if (top == topf) {fv = cuddT(f); fvn = cuddE(f);} else {fv = fvn = f;}
-    if (top == topg) {gv = cuddT(g); gvn = cuddE(g);} else {gv = gvn = g;}
-
-    t = addTriangleRecur(dd, fv, gv, vars, cube);
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-    e = addTriangleRecur(dd, fvn, gvn, vars, cube);
-    if (e == NULL) {
-    Cudd_RecursiveDeref(dd, t);
-    return(NULL);
-    }
-    cuddRef(e);
-
-    index = dd->invperm[top];
-    if (vars[index] < 0) {
-    res = (t == e) ? t : cuddUniqueInter(dd,index,t,e);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd, t);
-        Cudd_RecursiveDeref(dd, e);
-        return(NULL);
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-    } else {
-    res = cuddAddApplyRecur(dd,Cudd_addMinimum,t,e);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd, t);
-        Cudd_RecursiveDeref(dd, e);
-        return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(dd, t);
-    Cudd_RecursiveDeref(dd, e);
-    cuddDeref(res);
-    }
-
-    if (f->ref != 1 || g->ref != 1) {
-    cuddCacheInsert(dd, DD_ADD_TRIANGLE_TAG, f, g, cube, res);
-    }
-
-    return(res);
-
-} /* end of addTriangleRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_addOuterSum.]
-
-  Description [Performs the recursive step of Cudd_addOuterSum.
-  Returns a pointer to the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static DdNode *
-cuddAddOuterSumRecur(
-  DdManager *dd,
-  DdNode *M,
-  DdNode *r,
-  DdNode *c)
-{
-    DdNode *P, *R, *Mt, *Me, *rt, *re, *ct, *ce, *Rt, *Re;
-    int topM, topc, topr;
-    int v, index;
-
-    statLine(dd);
-    /* Check special cases. */
-    if (r == DD_PLUS_INFINITY(dd) || c == DD_PLUS_INFINITY(dd)) return(M); 
-
-    if (cuddIsConstant(c) && cuddIsConstant(r)) {
-    R = cuddUniqueConst(dd,Cudd_V(c)+Cudd_V(r));
-    cuddRef(R);
-    if (cuddIsConstant(M)) {
-        if (cuddV(R) <= cuddV(M)) {
-        cuddDeref(R);
-            return(R);
-        } else {
-            Cudd_RecursiveDeref(dd,R);       
-        return(M);
-        }
-    } else {
-        P = Cudd_addApply(dd,Cudd_addMinimum,R,M);
-        cuddRef(P);
-        Cudd_RecursiveDeref(dd,R);
-        cuddDeref(P);
-        return(P);
-    }
-    }
-
-    /* Check the cache. */
-    R = cuddCacheLookup(dd,DD_ADD_OUT_SUM_TAG,M,r,c);
-    if (R != NULL) return(R);
-
-    topM = cuddI(dd,M->index); topr = cuddI(dd,r->index);
-    topc = cuddI(dd,c->index);
-    v = ddMin(topM,ddMin(topr,topc));
-
-    /* Compute cofactors. */
-    if (topM == v) { Mt = cuddT(M); Me = cuddE(M); } else { Mt = Me = M; }
-    if (topr == v) { rt = cuddT(r); re = cuddE(r); } else { rt = re = r; }
-    if (topc == v) { ct = cuddT(c); ce = cuddE(c); } else { ct = ce = c; }
-
-    /* Recursively solve. */
-    Rt = cuddAddOuterSumRecur(dd,Mt,rt,ct);
-    if (Rt == NULL) return(NULL);
-    cuddRef(Rt);
-    Re = cuddAddOuterSumRecur(dd,Me,re,ce);
-    if (Re == NULL) {
-    Cudd_RecursiveDeref(dd, Rt);
-    return(NULL);
-    }
-    cuddRef(Re);
-    index = dd->invperm[v];
-    R = (Rt == Re) ? Rt : cuddUniqueInter(dd,index,Rt,Re);
-    if (R == NULL) {
-    Cudd_RecursiveDeref(dd, Rt);
-    Cudd_RecursiveDeref(dd, Re);
-    return(NULL);
-    }
-    cuddDeref(Rt);
-    cuddDeref(Re);
-
-    /* Store the result in the cache. */
-    cuddCacheInsert(dd,DD_ADD_OUT_SUM_TAG,M,r,c,R);
-
-    return(R);
-
-} /* end of cuddAddOuterSumRecur */
diff --git a/src/bdd/cudd/cuddPriority.c b/src/bdd/cudd/cuddPriority.c
deleted file mode 100644
index 788fc712..00000000
--- a/src/bdd/cudd/cuddPriority.c
+++ /dev/null
@@ -1,1475 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddPriority.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Priority functions.]
-
-  Description [External procedures included in this file:
-        <ul>
-        <li> Cudd_PrioritySelect()
-        <li> Cudd_Xgty()
-        <li> Cudd_Xeqy()
-        <li> Cudd_addXeqy()
-        <li> Cudd_Dxygtdxz()
-        <li> Cudd_Dxygtdyz()
-        <li> Cudd_CProjection()
-        <li> Cudd_addHamming()
-        <li> Cudd_MinHammingDist()
-        <li> Cudd_bddClosestCube()
-        </ul>
-    Internal procedures included in this module:
-        <ul>
-        <li> cuddCProjectionRecur()
-        <li> cuddBddClosestCube()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> cuddMinHammingDistRecur()
-        <li> separateCube()
-        <li> createResult()
-        </ul>
-        ]
-
-  SeeAlso     []
-
-  Author      [Fabio Somenzi]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddPriority.c,v 1.1.1.1 2003/02/24 22:23:52 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-static int cuddMinHammingDistRecur ARGS((DdNode * f, int *minterm, DdHashTable * table, int upperBound));
-static DdNode * separateCube ARGS((DdManager *dd, DdNode *f, CUDD_VALUE_TYPE *distance));
-static DdNode * createResult ARGS((DdManager *dd, unsigned int index, unsigned int phase, DdNode *cube, CUDD_VALUE_TYPE distance));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Selects pairs from R using a priority function.]
-
-  Description [Selects pairs from a relation R(x,y) (given as a BDD)
-  in such a way that a given x appears in one pair only. Uses a
-  priority function to determine which y should be paired to a given x.
-  Cudd_PrioritySelect returns a pointer to
-  the selected function if successful; NULL otherwise.
-  Three of the arguments--x, y, and z--are vectors of BDD variables.
-  The first two are the variables on which R depends. The third vectore
-  is a vector of auxiliary variables, used during the computation. This
-  vector is optional. If a NULL value is passed instead,
-  Cudd_PrioritySelect will create the working variables on the fly.
-  The sizes of x and y (and z if it is not NULL) should equal n.
-  The priority function Pi can be passed as a BDD, or can be built by
-  Cudd_PrioritySelect. If NULL is passed instead of a DdNode *,
-  parameter Pifunc is used by Cudd_PrioritySelect to build a BDD for the
-  priority function. (Pifunc is a pointer to a C function.) If Pi is not
-  NULL, then Pifunc is ignored. Pifunc should have the same interface as
-  the standard priority functions (e.g., Cudd_Dxygtdxz).
-  Cudd_PrioritySelect and Cudd_CProjection can sometimes be used
-  interchangeably. Specifically, calling Cudd_PrioritySelect with
-  Cudd_Xgty as Pifunc produces the same result as calling
-  Cudd_CProjection with the all-zero minterm as reference minterm.
-  However, depending on the application, one or the other may be
-  preferable:
-  <ul>
-  <li> When extracting representatives from an equivalence relation,
-  Cudd_CProjection has the advantage of nor requiring the auxiliary
-  variables.
-  <li> When computing matchings in general bipartite graphs,
-  Cudd_PrioritySelect normally obtains better results because it can use
-  more powerful matching schemes (e.g., Cudd_Dxygtdxz).
-  </ul>
-  ]
-
-  SideEffects [If called with z == NULL, will create new variables in
-  the manager.]
-
-  SeeAlso     [Cudd_Dxygtdxz Cudd_Dxygtdyz Cudd_Xgty
-  Cudd_bddAdjPermuteX Cudd_CProjection]
-
-******************************************************************************/
-DdNode *
-Cudd_PrioritySelect(
-  DdManager * dd /* manager */,
-  DdNode * R /* BDD of the relation */,
-  DdNode ** x /* array of x variables */,
-  DdNode ** y /* array of y variables */,
-  DdNode ** z /* array of z variables (optional: may be NULL) */,
-  DdNode * Pi /* BDD of the priority function (optional: may be NULL) */,
-  int  n /* size of x, y, and z */,
-  DdNode * (*Pifunc)(DdManager *, int, DdNode **, DdNode **, DdNode **) /* function used to build Pi if it is NULL */)
-{
-    DdNode *res = NULL;
-    DdNode *zcube = NULL;
-    DdNode *Rxz, *Q;
-    int createdZ = 0;
-    int createdPi = 0;
-    int i;
-
-    /* Create z variables if needed. */
-    if (z == NULL) {
-    if (Pi != NULL) return(NULL);
-    z = ALLOC(DdNode *,n);
-    if (z == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(NULL);
-    }
-    createdZ = 1;
-    for (i = 0; i < n; i++) {
-        if (dd->size >= (int) CUDD_MAXINDEX - 1) goto endgame;
-        z[i] = cuddUniqueInter(dd,dd->size,dd->one,Cudd_Not(dd->one));
-        if (z[i] == NULL) goto endgame;
-    }
-    }
-
-    /* Create priority function BDD if needed. */
-    if (Pi == NULL) {
-    Pi = Pifunc(dd,n,x,y,z);
-    if (Pi == NULL) goto endgame;
-    createdPi = 1;
-    cuddRef(Pi);
-    }
-
-    /* Initialize abstraction cube. */
-    zcube = DD_ONE(dd);
-    cuddRef(zcube);
-    for (i = n - 1; i >= 0; i--) {
-    DdNode *tmpp;
-    tmpp = Cudd_bddAnd(dd,z[i],zcube);
-    if (tmpp == NULL) goto endgame;
-    cuddRef(tmpp);
-    Cudd_RecursiveDeref(dd,zcube);
-    zcube = tmpp;
-    }
-
-    /* Compute subset of (x,y) pairs. */
-    Rxz = Cudd_bddSwapVariables(dd,R,y,z,n);
-    if (Rxz == NULL) goto endgame;
-    cuddRef(Rxz);
-    Q = Cudd_bddAndAbstract(dd,Rxz,Pi,zcube);
-    if (Q == NULL) {
-    Cudd_RecursiveDeref(dd,Rxz);
-    goto endgame;
-    }
-    cuddRef(Q);
-    Cudd_RecursiveDeref(dd,Rxz);
-    res = Cudd_bddAnd(dd,R,Cudd_Not(Q));
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd,Q);
-    goto endgame;
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(dd,Q);
-
-endgame:
-    if (zcube != NULL) Cudd_RecursiveDeref(dd,zcube);
-    if (createdZ) {
-    FREE(z);
-    }
-    if (createdPi) {
-    Cudd_RecursiveDeref(dd,Pi);
-    }
-    if (res != NULL) cuddDeref(res);
-    return(res);
-
-} /* Cudd_PrioritySelect */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Generates a BDD for the function x &gt; y.]
-
-  Description [This function generates a BDD for the function x &gt; y.
-  Both x and y are N-bit numbers, x\[0\] x\[1\] ... x\[N-1\] and
-  y\[0\] y\[1\] ...  y\[N-1\], with 0 the most significant bit.
-  The BDD is built bottom-up.
-  It has 3*N-1 internal nodes, if the variables are ordered as follows: 
-  x\[0\] y\[0\] x\[1\] y\[1\] ... x\[N-1\] y\[N-1\].
-  Argument z is not used by Cudd_Xgty: it is included to make it
-  call-compatible to Cudd_Dxygtdxz and Cudd_Dxygtdyz.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_PrioritySelect Cudd_Dxygtdxz Cudd_Dxygtdyz]
-
-******************************************************************************/
-DdNode *
-Cudd_Xgty(
-  DdManager * dd /* DD manager */,
-  int  N /* number of x and y variables */,
-  DdNode ** z /* array of z variables: unused */,
-  DdNode ** x /* array of x variables */,
-  DdNode ** y /* array of y variables */)
-{
-    DdNode *u, *v, *w;
-    int     i;
-
-    /* Build bottom part of BDD outside loop. */
-    u = Cudd_bddAnd(dd, x[N-1], Cudd_Not(y[N-1]));
-    if (u == NULL) return(NULL);
-    cuddRef(u);
-
-    /* Loop to build the rest of the BDD. */
-    for (i = N-2; i >= 0; i--) {
-    v = Cudd_bddAnd(dd, y[i], Cudd_Not(u));
-    if (v == NULL) {
-        Cudd_RecursiveDeref(dd, u);
-        return(NULL);
-    }
-    cuddRef(v);
-    w = Cudd_bddAnd(dd, Cudd_Not(y[i]), u);
-    if (w == NULL) {
-        Cudd_RecursiveDeref(dd, u);
-        Cudd_RecursiveDeref(dd, v);
-        return(NULL);
-    }
-    cuddRef(w);
-    Cudd_RecursiveDeref(dd, u);
-    u = Cudd_bddIte(dd, x[i], Cudd_Not(v), w);
-    if (u == NULL) {
-        Cudd_RecursiveDeref(dd, v);
-        Cudd_RecursiveDeref(dd, w);
-        return(NULL);
-    }
-    cuddRef(u);
-    Cudd_RecursiveDeref(dd, v);
-    Cudd_RecursiveDeref(dd, w);
-
-    }
-    cuddDeref(u);
-    return(u);
-
-} /* end of Cudd_Xgty */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Generates a BDD for the function x==y.]
-
-  Description [This function generates a BDD for the function x==y.
-  Both x and y are N-bit numbers, x\[0\] x\[1\] ... x\[N-1\] and
-  y\[0\] y\[1\] ...  y\[N-1\], with 0 the most significant bit.
-  The BDD is built bottom-up.
-  It has 3*N-1 internal nodes, if the variables are ordered as follows: 
-  x\[0\] y\[0\] x\[1\] y\[1\] ... x\[N-1\] y\[N-1\]. ]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addXeqy]
-
-******************************************************************************/
-DdNode *
-Cudd_Xeqy(
-  DdManager * dd /* DD manager */,
-  int  N /* number of x and y variables */,
-  DdNode ** x /* array of x variables */,
-  DdNode ** y /* array of y variables */)
-{
-    DdNode *u, *v, *w;
-    int     i;
-
-    /* Build bottom part of BDD outside loop. */
-    u = Cudd_bddIte(dd, x[N-1], y[N-1], Cudd_Not(y[N-1]));
-    if (u == NULL) return(NULL);
-    cuddRef(u);
-
-    /* Loop to build the rest of the BDD. */
-    for (i = N-2; i >= 0; i--) {
-    v = Cudd_bddAnd(dd, y[i], u);
-    if (v == NULL) {
-        Cudd_RecursiveDeref(dd, u);
-        return(NULL);
-    }
-    cuddRef(v);
-    w = Cudd_bddAnd(dd, Cudd_Not(y[i]), u);
-    if (w == NULL) {
-        Cudd_RecursiveDeref(dd, u);
-        Cudd_RecursiveDeref(dd, v);
-        return(NULL);
-    }
-    cuddRef(w);
-    Cudd_RecursiveDeref(dd, u);
-    u = Cudd_bddIte(dd, x[i], v, w);
-    if (u == NULL) {
-        Cudd_RecursiveDeref(dd, v);
-        Cudd_RecursiveDeref(dd, w);
-        return(NULL);
-    }
-    cuddRef(u);
-    Cudd_RecursiveDeref(dd, v);
-    Cudd_RecursiveDeref(dd, w);
-    }
-    cuddDeref(u);
-    return(u);
-
-} /* end of Cudd_Xeqy */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Generates an ADD for the function x==y.]
-
-  Description [This function generates an ADD for the function x==y.
-  Both x and y are N-bit numbers, x\[0\] x\[1\] ... x\[N-1\] and
-  y\[0\] y\[1\] ...  y\[N-1\], with 0 the most significant bit.
-  The ADD is built bottom-up.
-  It has 3*N-1 internal nodes, if the variables are ordered as follows: 
-  x\[0\] y\[0\] x\[1\] y\[1\] ... x\[N-1\] y\[N-1\]. ]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_Xeqy]
-
-******************************************************************************/
-DdNode *
-Cudd_addXeqy(
-  DdManager * dd /* DD manager */,
-  int  N /* number of x and y variables */,
-  DdNode ** x /* array of x variables */,
-  DdNode ** y /* array of y variables */)
-{
-    DdNode *one, *zero;
-    DdNode *u, *v, *w;
-    int     i;
-
-    one = DD_ONE(dd);
-    zero = DD_ZERO(dd);
-
-    /* Build bottom part of ADD outside loop. */
-    v = Cudd_addIte(dd, y[N-1], one, zero);
-    if (v == NULL) return(NULL);
-    cuddRef(v);
-    w = Cudd_addIte(dd, y[N-1], zero, one);
-    if (w == NULL) {
-    Cudd_RecursiveDeref(dd, v);
-    return(NULL);
-    }
-    cuddRef(w);
-    u = Cudd_addIte(dd, x[N-1], v, w);
-    if (w == NULL) {
-    Cudd_RecursiveDeref(dd, v);
-    Cudd_RecursiveDeref(dd, w);
-    return(NULL);
-    }
-    cuddRef(u);
-    Cudd_RecursiveDeref(dd, v);
-    Cudd_RecursiveDeref(dd, w);
-
-    /* Loop to build the rest of the ADD. */
-    for (i = N-2; i >= 0; i--) {
-    v = Cudd_addIte(dd, y[i], u, zero);
-    if (v == NULL) {
-        Cudd_RecursiveDeref(dd, u);
-        return(NULL);
-    }
-    cuddRef(v);
-    w = Cudd_addIte(dd, y[i], zero, u);
-    if (w == NULL) {
-        Cudd_RecursiveDeref(dd, u);
-        Cudd_RecursiveDeref(dd, v);
-        return(NULL);
-    }
-    cuddRef(w);
-    Cudd_RecursiveDeref(dd, u);
-    u = Cudd_addIte(dd, x[i], v, w);
-    if (w == NULL) {
-        Cudd_RecursiveDeref(dd, v);
-        Cudd_RecursiveDeref(dd, w);
-        return(NULL);
-    }
-    cuddRef(u);
-    Cudd_RecursiveDeref(dd, v);
-    Cudd_RecursiveDeref(dd, w);
-    }
-    cuddDeref(u);
-    return(u);
-
-} /* end of Cudd_addXeqy */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Generates a BDD for the function d(x,y) &gt; d(x,z).]
-
-  Description [This function generates a BDD for the function d(x,y)
-  &gt; d(x,z);
-  x, y, and z are N-bit numbers, x\[0\] x\[1\] ... x\[N-1\],
-  y\[0\] y\[1\] ...  y\[N-1\], and z\[0\] z\[1\] ...  z\[N-1\],
-  with 0 the most significant bit.
-  The distance d(x,y) is defined as:
-    \sum_{i=0}^{N-1}(|x_i - y_i| \cdot 2^{N-i-1}).
-  The BDD is built bottom-up.
-  It has 7*N-3 internal nodes, if the variables are ordered as follows: 
-  x\[0\] y\[0\] z\[0\] x\[1\] y\[1\] z\[1\] ... x\[N-1\] y\[N-1\] z\[N-1\]. ]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_PrioritySelect Cudd_Dxygtdyz Cudd_Xgty Cudd_bddAdjPermuteX]
-
-******************************************************************************/
-DdNode *
-Cudd_Dxygtdxz(
-  DdManager * dd /* DD manager */,
-  int  N /* number of x, y, and z variables */,
-  DdNode ** x /* array of x variables */,
-  DdNode ** y /* array of y variables */,
-  DdNode ** z /* array of z variables */)
-{
-    DdNode *one, *zero;
-    DdNode *z1, *z2, *z3, *z4, *y1_, *y2, *x1;
-    int     i;
-
-    one = DD_ONE(dd);
-    zero = Cudd_Not(one);
-
-    /* Build bottom part of BDD outside loop. */
-    y1_ = Cudd_bddIte(dd, y[N-1], one, Cudd_Not(z[N-1]));
-    if (y1_ == NULL) return(NULL);
-    cuddRef(y1_);
-    y2 = Cudd_bddIte(dd, y[N-1], z[N-1], one);
-    if (y2 == NULL) {
-    Cudd_RecursiveDeref(dd, y1_);
-    return(NULL);
-    }
-    cuddRef(y2);
-    x1 = Cudd_bddIte(dd, x[N-1], y1_, y2);
-    if (x1 == NULL) {
-    Cudd_RecursiveDeref(dd, y1_);
-    Cudd_RecursiveDeref(dd, y2);
-    return(NULL);
-    }
-    cuddRef(x1);
-    Cudd_RecursiveDeref(dd, y1_);
-    Cudd_RecursiveDeref(dd, y2);
-
-    /* Loop to build the rest of the BDD. */
-    for (i = N-2; i >= 0; i--) {
-    z1 = Cudd_bddIte(dd, z[i], one, Cudd_Not(x1));
-    if (z1 == NULL) {
-        Cudd_RecursiveDeref(dd, x1);
-        return(NULL);
-    }
-    cuddRef(z1);
-    z2 = Cudd_bddIte(dd, z[i], x1, one);
-    if (z2 == NULL) {
-        Cudd_RecursiveDeref(dd, x1);
-        Cudd_RecursiveDeref(dd, z1);
-        return(NULL);
-    }
-    cuddRef(z2);
-    z3 = Cudd_bddIte(dd, z[i], one, x1);
-    if (z3 == NULL) {
-        Cudd_RecursiveDeref(dd, x1);
-        Cudd_RecursiveDeref(dd, z1);
-        Cudd_RecursiveDeref(dd, z2);
-        return(NULL);
-    }
-    cuddRef(z3);
-    z4 = Cudd_bddIte(dd, z[i], x1, zero);
-    if (z4 == NULL) {
-        Cudd_RecursiveDeref(dd, x1);
-        Cudd_RecursiveDeref(dd, z1);
-        Cudd_RecursiveDeref(dd, z2);
-        Cudd_RecursiveDeref(dd, z3);
-        return(NULL);
-    }
-    cuddRef(z4);
-    Cudd_RecursiveDeref(dd, x1);
-    y1_ = Cudd_bddIte(dd, y[i], z2, Cudd_Not(z1));
-    if (y1_ == NULL) {
-        Cudd_RecursiveDeref(dd, z1);
-        Cudd_RecursiveDeref(dd, z2);
-        Cudd_RecursiveDeref(dd, z3);
-        Cudd_RecursiveDeref(dd, z4);
-        return(NULL);
-    }
-    cuddRef(y1_);
-    y2 = Cudd_bddIte(dd, y[i], z4, z3);
-    if (y2 == NULL) {
-        Cudd_RecursiveDeref(dd, z1);
-        Cudd_RecursiveDeref(dd, z2);
-        Cudd_RecursiveDeref(dd, z3);
-        Cudd_RecursiveDeref(dd, z4);
-        Cudd_RecursiveDeref(dd, y1_);
-        return(NULL);
-    }
-    cuddRef(y2);
-    Cudd_RecursiveDeref(dd, z1);
-    Cudd_RecursiveDeref(dd, z2);
-    Cudd_RecursiveDeref(dd, z3);
-    Cudd_RecursiveDeref(dd, z4);
-    x1 = Cudd_bddIte(dd, x[i], y1_, y2);
-    if (x1 == NULL) {
-        Cudd_RecursiveDeref(dd, y1_);
-        Cudd_RecursiveDeref(dd, y2);
-        return(NULL);
-    }
-    cuddRef(x1);
-    Cudd_RecursiveDeref(dd, y1_);
-    Cudd_RecursiveDeref(dd, y2);
-    }
-    cuddDeref(x1);
-    return(Cudd_Not(x1));
-
-} /* end of Cudd_Dxygtdxz */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Generates a BDD for the function d(x,y) &gt; d(y,z).]
-
-  Description [This function generates a BDD for the function d(x,y)
-  &gt; d(y,z);
-  x, y, and z are N-bit numbers, x\[0\] x\[1\] ... x\[N-1\],
-  y\[0\] y\[1\] ...  y\[N-1\], and z\[0\] z\[1\] ...  z\[N-1\],
-  with 0 the most significant bit.
-  The distance d(x,y) is defined as:
-    \sum_{i=0}^{N-1}(|x_i - y_i| \cdot 2^{N-i-1}).
-  The BDD is built bottom-up.
-  It has 7*N-3 internal nodes, if the variables are ordered as follows: 
-  x\[0\] y\[0\] z\[0\] x\[1\] y\[1\] z\[1\] ... x\[N-1\] y\[N-1\] z\[N-1\]. ]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_PrioritySelect Cudd_Dxygtdxz Cudd_Xgty Cudd_bddAdjPermuteX]
-
-******************************************************************************/
-DdNode *
-Cudd_Dxygtdyz(
-  DdManager * dd /* DD manager */,
-  int  N /* number of x, y, and z variables */,
-  DdNode ** x /* array of x variables */,
-  DdNode ** y /* array of y variables */,
-  DdNode ** z /* array of z variables */)
-{
-    DdNode *one, *zero;
-    DdNode *z1, *z2, *z3, *z4, *y1_, *y2, *x1;
-    int     i;
-
-    one = DD_ONE(dd);
-    zero = Cudd_Not(one);
-
-    /* Build bottom part of BDD outside loop. */
-    y1_ = Cudd_bddIte(dd, y[N-1], one, z[N-1]);
-    if (y1_ == NULL) return(NULL);
-    cuddRef(y1_);
-    y2 = Cudd_bddIte(dd, y[N-1], z[N-1], zero);
-    if (y2 == NULL) {
-    Cudd_RecursiveDeref(dd, y1_);
-    return(NULL);
-    }
-    cuddRef(y2);
-    x1 = Cudd_bddIte(dd, x[N-1], y1_, Cudd_Not(y2));
-    if (x1 == NULL) {
-    Cudd_RecursiveDeref(dd, y1_);
-    Cudd_RecursiveDeref(dd, y2);
-    return(NULL);
-    }
-    cuddRef(x1);
-    Cudd_RecursiveDeref(dd, y1_);
-    Cudd_RecursiveDeref(dd, y2);
-
-    /* Loop to build the rest of the BDD. */
-    for (i = N-2; i >= 0; i--) {
-    z1 = Cudd_bddIte(dd, z[i], x1, zero);
-    if (z1 == NULL) {
-        Cudd_RecursiveDeref(dd, x1);
-        return(NULL);
-    }
-    cuddRef(z1);
-    z2 = Cudd_bddIte(dd, z[i], x1, one);
-    if (z2 == NULL) {
-        Cudd_RecursiveDeref(dd, x1);
-        Cudd_RecursiveDeref(dd, z1);
-        return(NULL);
-    }
-    cuddRef(z2);
-    z3 = Cudd_bddIte(dd, z[i], one, x1);
-    if (z3 == NULL) {
-        Cudd_RecursiveDeref(dd, x1);
-        Cudd_RecursiveDeref(dd, z1);
-        Cudd_RecursiveDeref(dd, z2);
-        return(NULL);
-    }
-    cuddRef(z3);
-    z4 = Cudd_bddIte(dd, z[i], one, Cudd_Not(x1));
-    if (z4 == NULL) {
-        Cudd_RecursiveDeref(dd, x1);
-        Cudd_RecursiveDeref(dd, z1);
-        Cudd_RecursiveDeref(dd, z2);
-        Cudd_RecursiveDeref(dd, z3);
-        return(NULL);
-    }
-    cuddRef(z4);
-    Cudd_RecursiveDeref(dd, x1);
-    y1_ = Cudd_bddIte(dd, y[i], z2, z1);
-    if (y1_ == NULL) {
-        Cudd_RecursiveDeref(dd, z1);
-        Cudd_RecursiveDeref(dd, z2);
-        Cudd_RecursiveDeref(dd, z3);
-        Cudd_RecursiveDeref(dd, z4);
-        return(NULL);
-    }
-    cuddRef(y1_);
-    y2 = Cudd_bddIte(dd, y[i], z4, Cudd_Not(z3));
-    if (y2 == NULL) {
-        Cudd_RecursiveDeref(dd, z1);
-        Cudd_RecursiveDeref(dd, z2);
-        Cudd_RecursiveDeref(dd, z3);
-        Cudd_RecursiveDeref(dd, z4);
-        Cudd_RecursiveDeref(dd, y1_);
-        return(NULL);
-    }
-    cuddRef(y2);
-    Cudd_RecursiveDeref(dd, z1);
-    Cudd_RecursiveDeref(dd, z2);
-    Cudd_RecursiveDeref(dd, z3);
-    Cudd_RecursiveDeref(dd, z4);
-    x1 = Cudd_bddIte(dd, x[i], y1_, Cudd_Not(y2));
-    if (x1 == NULL) {
-        Cudd_RecursiveDeref(dd, y1_);
-        Cudd_RecursiveDeref(dd, y2);
-        return(NULL);
-    }
-    cuddRef(x1);
-    Cudd_RecursiveDeref(dd, y1_);
-    Cudd_RecursiveDeref(dd, y2);
-    }
-    cuddDeref(x1);
-    return(Cudd_Not(x1));
-
-} /* end of Cudd_Dxygtdyz */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the compatible projection of R w.r.t. cube Y.]
-
-  Description [Computes the compatible projection of relation R with
-  respect to cube Y. Returns a pointer to the c-projection if
-  successful; NULL otherwise. For a comparison between Cudd_CProjection
-  and Cudd_PrioritySelect, see the documentation of the latter.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_PrioritySelect]
-
-******************************************************************************/
-DdNode *
-Cudd_CProjection(
-  DdManager * dd,
-  DdNode * R,
-  DdNode * Y)
-{
-    DdNode *res;
-    DdNode *support;
-
-    if (cuddCheckCube(dd,Y) == 0) {
-    (void) fprintf(dd->err,
-    "Error: The third argument of Cudd_CProjection should be a cube\n");
-    dd->errorCode = CUDD_INVALID_ARG;
-    return(NULL);
-    }
-
-    /* Compute the support of Y, which is used by the abstraction step
-    ** in cuddCProjectionRecur.
-    */
-    support = Cudd_Support(dd,Y);
-    if (support == NULL) return(NULL);
-    cuddRef(support);
-
-    do {
-    dd->reordered = 0;
-    res = cuddCProjectionRecur(dd,R,Y,support);
-    } while (dd->reordered == 1);
-
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd,support);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(dd,support);
-    cuddDeref(res);
-
-    return(res);
-
-} /* end of Cudd_CProjection */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the Hamming distance ADD.]
-
-  Description [Computes the Hamming distance ADD. Returns an ADD that
-  gives the Hamming distance between its two arguments if successful;
-  NULL otherwise. The two vectors xVars and yVars identify the variables
-  that form the two arguments.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-Cudd_addHamming(
-  DdManager * dd,
-  DdNode ** xVars,
-  DdNode ** yVars,
-  int  nVars)
-{
-    DdNode  *result,*tempBdd;
-    DdNode  *tempAdd,*temp;
-    int     i;
-
-    result = DD_ZERO(dd);
-    cuddRef(result);
-
-    for (i = 0; i < nVars; i++) {
-    tempBdd = Cudd_bddIte(dd,xVars[i],Cudd_Not(yVars[i]),yVars[i]);
-    if (tempBdd == NULL) {
-        Cudd_RecursiveDeref(dd,result);
-        return(NULL);
-    }
-    cuddRef(tempBdd);
-    tempAdd = Cudd_BddToAdd(dd,tempBdd);
-    if (tempAdd == NULL) {
-        Cudd_RecursiveDeref(dd,tempBdd);
-        Cudd_RecursiveDeref(dd,result);
-        return(NULL);
-    }
-    cuddRef(tempAdd);
-    Cudd_RecursiveDeref(dd,tempBdd);
-    temp = Cudd_addApply(dd,Cudd_addPlus,tempAdd,result);
-    if (temp == NULL) {
-        Cudd_RecursiveDeref(dd,tempAdd);
-        Cudd_RecursiveDeref(dd,result);
-        return(NULL);
-    }
-    cuddRef(temp);
-    Cudd_RecursiveDeref(dd,tempAdd);
-    Cudd_RecursiveDeref(dd,result);
-    result = temp;
-    }
-
-    cuddDeref(result);
-    return(result);
-
-} /* end of Cudd_addHamming */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the minimum Hamming distance between f and minterm.]
-
-  Description [Returns the minimum Hamming distance between the
-  minterms of a function f and a reference minterm. The function is
-  given as a BDD; the minterm is given as an array of integers, one
-  for each variable in the manager.  Returns the minimum distance if
-  it is less than the upper bound; the upper bound if the minimum
-  distance is at least as large; CUDD_OUT_OF_MEM in case of failure.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addHamming Cudd_bddClosestCube]
-
-******************************************************************************/
-int
-Cudd_MinHammingDist(
-  DdManager *dd /* DD manager */,
-  DdNode *f /* function to examine */,
-  int *minterm /* reference minterm */,
-  int upperBound /* distance above which an approximate answer is OK */)
-{
-    DdHashTable *table;
-    CUDD_VALUE_TYPE epsilon;
-    int res;
-
-    table = cuddHashTableInit(dd,1,2);
-    if (table == NULL) {
-    return(CUDD_OUT_OF_MEM);
-    }
-    epsilon = Cudd_ReadEpsilon(dd);
-    Cudd_SetEpsilon(dd,(CUDD_VALUE_TYPE)0.0);
-    res = cuddMinHammingDistRecur(f,minterm,table,upperBound);
-    cuddHashTableQuit(table);
-    Cudd_SetEpsilon(dd,epsilon);
-
-    return(res);
-    
-} /* end of Cudd_MinHammingDist */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds a cube of f at minimum Hamming distance from g.]
-
-  Description [Finds a cube of f at minimum Hamming distance from the
-  minterms of g.  All the minterms of the cube are at the minimum
-  distance.  If the distance is 0, the cube belongs to the
-  intersection of f and g.  Returns the cube if successful; NULL
-  otherwise.]
-
-  SideEffects [The distance is returned as a side effect.]
-
-  SeeAlso     [Cudd_MinHammingDist]
-
-******************************************************************************/
-DdNode *
-Cudd_bddClosestCube(
-  DdManager *dd,
-  DdNode * f,
-  DdNode *g,
-  int *distance)
-{
-    DdNode *res, *acube;
-    CUDD_VALUE_TYPE rdist;
-
-    /* Compute the cube and distance as a single ADD. */
-    do {
-    dd->reordered = 0;
-    res = cuddBddClosestCube(dd,f,g,CUDD_CONST_INDEX + 1.0);
-    } while (dd->reordered == 1);
-    if (res == NULL) return(NULL);
-    cuddRef(res);
-
-    /* Unpack distance and cube. */
-    do {
-    dd->reordered = 0;
-    acube = separateCube(dd, res, &rdist);
-    } while (dd->reordered == 1);
-    if (acube == NULL) {
-    Cudd_RecursiveDeref(dd, res);
-    return(NULL);
-    }
-    cuddRef(acube);
-    Cudd_RecursiveDeref(dd, res);
-
-    /* Convert cube from ADD to BDD. */
-    do {
-    dd->reordered = 0;
-    res = cuddAddBddDoPattern(dd, acube);
-    } while (dd->reordered == 1);
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd, acube);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(dd, acube);
-
-    *distance = (int) rdist;
-    cuddDeref(res);
-    return(res);
-
-} /* end of Cudd_bddClosestCube */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_CProjection.]
-
-  Description [Performs the recursive step of Cudd_CProjection. Returns
-  the projection if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_CProjection]
-
-******************************************************************************/
-DdNode *
-cuddCProjectionRecur(
-  DdManager * dd,
-  DdNode * R,
-  DdNode * Y,
-  DdNode * Ysupp)
-{
-    DdNode *res, *res1, *res2, *resA;
-    DdNode *r, *y, *RT, *RE, *YT, *YE, *Yrest, *Ra, *Ran, *Gamma, *Alpha;
-    unsigned int topR, topY, top, index;
-    DdNode *one = DD_ONE(dd);
-
-    statLine(dd);
-    if (Y == one) return(R);
-
-#ifdef DD_DEBUG
-    assert(!Cudd_IsConstant(Y));
-#endif
-
-    if (R == Cudd_Not(one)) return(R);
-
-    res = cuddCacheLookup2(dd, Cudd_CProjection, R, Y);
-    if (res != NULL) return(res);
-
-    r = Cudd_Regular(R);
-    topR = cuddI(dd,r->index);
-    y = Cudd_Regular(Y);
-    topY = cuddI(dd,y->index);
-
-    top = ddMin(topR, topY);
-
-    /* Compute the cofactors of R */
-    if (topR == top) {
-    index = r->index;
-    RT = cuddT(r);
-    RE = cuddE(r);
-    if (r != R) {
-        RT = Cudd_Not(RT); RE = Cudd_Not(RE);
-    }
-    } else {
-    RT = RE = R;
-    }
-
-    if (topY > top) {
-    /* Y does not depend on the current top variable.
-    ** We just need to compute the results on the two cofactors of R
-    ** and make them the children of a node labeled r->index.
-    */
-    res1 = cuddCProjectionRecur(dd,RT,Y,Ysupp);
-    if (res1 == NULL) return(NULL);
-    cuddRef(res1);
-    res2 = cuddCProjectionRecur(dd,RE,Y,Ysupp);
-    if (res2 == NULL) {
-        Cudd_RecursiveDeref(dd,res1);
-        return(NULL);
-    }
-    cuddRef(res2);
-    res = cuddBddIteRecur(dd, dd->vars[index], res1, res2);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd,res1);
-        Cudd_RecursiveDeref(dd,res2);
-        return(NULL);
-    }
-    /* If we have reached this point, res1 and res2 are now
-    ** incorporated in res. cuddDeref is therefore sufficient.
-    */
-    cuddDeref(res1);
-    cuddDeref(res2);
-    } else {
-    /* Compute the cofactors of Y */
-    index = y->index;
-    YT = cuddT(y);
-    YE = cuddE(y);
-    if (y != Y) {
-        YT = Cudd_Not(YT); YE = Cudd_Not(YE);
-    }
-    if (YT == Cudd_Not(one)) {
-        Alpha  = Cudd_Not(dd->vars[index]);
-        Yrest = YE;
-        Ra = RE;
-        Ran = RT;
-    } else {
-        Alpha = dd->vars[index];
-        Yrest = YT;
-        Ra = RT;
-        Ran = RE;
-    }
-    Gamma = cuddBddExistAbstractRecur(dd,Ra,cuddT(Ysupp));
-    if (Gamma == NULL) return(NULL);
-    if (Gamma == one) {
-        res1 = cuddCProjectionRecur(dd,Ra,Yrest,cuddT(Ysupp));
-        if (res1 == NULL) return(NULL);
-        cuddRef(res1);
-        res = cuddBddAndRecur(dd, Alpha, res1);
-        if (res == NULL) {
-        Cudd_RecursiveDeref(dd,res1);
-        return(NULL);
-        }
-        cuddDeref(res1);
-    } else if (Gamma == Cudd_Not(one)) {
-        res1 = cuddCProjectionRecur(dd,Ran,Yrest,cuddT(Ysupp));
-        if (res1 == NULL) return(NULL);
-        cuddRef(res1);
-        res = cuddBddAndRecur(dd, Cudd_Not(Alpha), res1);
-        if (res == NULL) {
-        Cudd_RecursiveDeref(dd,res1);
-        return(NULL);
-        }
-        cuddDeref(res1);
-    } else {
-        cuddRef(Gamma);
-        resA = cuddCProjectionRecur(dd,Ran,Yrest,cuddT(Ysupp));
-        if (resA == NULL) {
-        Cudd_RecursiveDeref(dd,Gamma);
-        return(NULL);
-        }
-        cuddRef(resA);
-        res2 = cuddBddAndRecur(dd, Cudd_Not(Gamma), resA);
-        if (res2 == NULL) {
-        Cudd_RecursiveDeref(dd,Gamma);
-        Cudd_RecursiveDeref(dd,resA);
-        return(NULL);
-        }
-        cuddRef(res2);
-        Cudd_RecursiveDeref(dd,Gamma);
-        Cudd_RecursiveDeref(dd,resA);
-        res1 = cuddCProjectionRecur(dd,Ra,Yrest,cuddT(Ysupp));
-        if (res1 == NULL) {
-        Cudd_RecursiveDeref(dd,res2);
-        return(NULL);
-        }
-        cuddRef(res1);
-        res = cuddBddIteRecur(dd, Alpha, res1, res2);
-        if (res == NULL) {
-        Cudd_RecursiveDeref(dd,res1);
-        Cudd_RecursiveDeref(dd,res2);
-        return(NULL);
-        }
-        cuddDeref(res1);
-        cuddDeref(res2);
-    }
-    }
-
-    cuddCacheInsert2(dd,Cudd_CProjection,R,Y,res);
-
-    return(res);
-
-} /* end of cuddCProjectionRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_bddClosestCube.]
-
-  Description [Performs the recursive step of Cudd_bddClosestCube.
-  Returns the cube if succesful; NULL otherwise.  The procedure uses a
-  four-way recursion to examine all four combinations of cofactors of
-  f and g.  The most interesting feature of this function is the
-  scheme used for caching the results in the global computed table.
-  Since we have a cube and a distance, we combine them to form an ADD.
-  The combination replaces the zero child of the top node of the cube
-  with the negative of the distance.  (The use of the negative is to
-  avoid ambiguity with 1.)  The degenerate cases (zero and one) are
-  treated specially because the distance is known (0 for one, and
-  infinity for zero).]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddClosestCube]
-
-******************************************************************************/
-DdNode *
-cuddBddClosestCube(
-  DdManager *dd,
-  DdNode *f,
-  DdNode *g,
-  CUDD_VALUE_TYPE bound)
-{
-    DdNode *res, *F, *G, *ft, *fe, *gt, *ge, *tt, *ee;
-    DdNode *ctt, *cee, *cte, *cet;
-    CUDD_VALUE_TYPE minD, dtt, dee, dte, det;
-    DdNode *one = DD_ONE(dd);
-    DdNode *lzero = Cudd_Not(one);
-    DdNode *azero = DD_ZERO(dd);
-    unsigned int topf, topg, index;
-
-    statLine(dd);
-    if (bound < (f == Cudd_Not(g))) return(azero);
-    /* Terminal cases. */
-    if (g == lzero || f == lzero) return(azero);
-    if (f == one && g == one) return(one);
-
-    /* Check cache. */
-    F = Cudd_Regular(f);
-    G = Cudd_Regular(g);
-    if (F->ref != 1 || G->ref != 1) {
-    res = cuddCacheLookup2(dd,(DdNode * (*)(DdManager *, DdNode *,
-                   DdNode *)) Cudd_bddClosestCube, f, g);
-    if (res != NULL) return(res);
-    }
-
-    topf = cuddI(dd,F->index);
-    topg = cuddI(dd,G->index);
-
-    /* Compute cofactors. */
-    if (topf <= topg) {
-    index = F->index;
-    ft = cuddT(F);
-    fe = cuddE(F);
-    if (Cudd_IsComplement(f)) {
-        ft = Cudd_Not(ft);
-        fe = Cudd_Not(fe);
-    }
-    } else {
-    index = G->index;
-    ft = fe = f;
-    }
-
-    if (topg <= topf) {
-    gt = cuddT(G);
-    ge = cuddE(G);
-    if (Cudd_IsComplement(g)) {
-        gt = Cudd_Not(gt);
-        ge = Cudd_Not(ge);
-    }
-    } else {
-    gt = ge = g;
-    }
-
-    tt = cuddBddClosestCube(dd,ft,gt,bound);
-    if (tt == NULL) return(NULL);
-    cuddRef(tt);
-    ctt = separateCube(dd,tt,&dtt);
-    if (ctt == NULL) {
-    Cudd_RecursiveDeref(dd, tt);
-    return(NULL);
-    }
-    cuddRef(ctt);
-    Cudd_RecursiveDeref(dd, tt);
-    minD = dtt;
-    bound = ddMin(bound,minD);
-
-    ee = cuddBddClosestCube(dd,fe,ge,bound);
-    if (ee == NULL) {
-    Cudd_RecursiveDeref(dd, ctt);
-    return(NULL);
-    }
-    cuddRef(ee);
-    cee = separateCube(dd,ee,&dee);
-    if (cee == NULL) {
-    Cudd_RecursiveDeref(dd, ctt);
-    Cudd_RecursiveDeref(dd, ee);
-    return(NULL);
-    }
-    cuddRef(cee);
-    Cudd_RecursiveDeref(dd, ee);
-    minD = ddMin(dtt, dee);
-    bound = ddMin(bound,minD-1);
-
-    if (minD > 0 && topf == topg) {
-    DdNode *te = cuddBddClosestCube(dd,ft,ge,bound-1);
-    if (te == NULL) {
-        Cudd_RecursiveDeref(dd, ctt);
-        Cudd_RecursiveDeref(dd, cee);
-        return(NULL);
-    }
-    cuddRef(te);
-    cte = separateCube(dd,te,&dte);
-    if (cte == NULL) {
-        Cudd_RecursiveDeref(dd, ctt);
-        Cudd_RecursiveDeref(dd, cee);
-        Cudd_RecursiveDeref(dd, te);
-        return(NULL);
-    }
-    cuddRef(cte);
-    Cudd_RecursiveDeref(dd, te);
-    dte += 1.0;
-    minD = ddMin(minD, dte);
-    } else {
-    cte = azero;
-    cuddRef(cte);
-    dte = CUDD_CONST_INDEX + 1.0;
-    }
-    bound = ddMin(bound,minD-1);
-
-    if (minD > 0 && topf == topg) {
-    DdNode *et = cuddBddClosestCube(dd,fe,gt,bound-1);
-    if (et == NULL) {
-        Cudd_RecursiveDeref(dd, ctt);
-        Cudd_RecursiveDeref(dd, cee);
-        Cudd_RecursiveDeref(dd, cte);
-        return(NULL);
-    }
-    cuddRef(et);
-    cet = separateCube(dd,et,&det);
-    if (cet == NULL) {
-        Cudd_RecursiveDeref(dd, ctt);
-        Cudd_RecursiveDeref(dd, cee);
-        Cudd_RecursiveDeref(dd, cte);
-        Cudd_RecursiveDeref(dd, et);
-        return(NULL);
-    }
-    cuddRef(cet);
-    Cudd_RecursiveDeref(dd, et);
-    det += 1.0;
-    minD = ddMin(minD, det);
-    } else {
-    cet = azero;
-    cuddRef(cet);
-    det = CUDD_CONST_INDEX + 1.0;
-    }
-
-    if (minD == dtt) {
-    if (dtt == dee && ctt == cee) {
-        res = createResult(dd,CUDD_CONST_INDEX,1,ctt,dtt);
-    } else {
-        res = createResult(dd,index,1,ctt,dtt);
-    }
-    } else if (minD == dee) {
-    res = createResult(dd,index,0,cee,dee);
-    } else if (minD == dte) {
-    res = createResult(dd,index,(topf <= topg),cte,dte);
-    } else {
-    res = createResult(dd,index,(topf > topg),cet,det);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(dd, ctt);
-    Cudd_RecursiveDeref(dd, cee);
-    Cudd_RecursiveDeref(dd, cte);
-    Cudd_RecursiveDeref(dd, cet);
-
-    if (F->ref != 1 || G->ref != 1)
-    cuddCacheInsert2(dd,(DdNode * (*)(DdManager *, DdNode *,
-             DdNode *)) Cudd_bddClosestCube, f, g, res);
-
-    cuddDeref(res);
-    return(res);
-
-} /* end of cuddBddClosestCube */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_MinHammingDist.]
-
-  Description [Performs the recursive step of Cudd_MinHammingDist.
-  It is based on the following identity. Let H(f) be the
-  minimum Hamming distance of the minterms of f from the reference
-  minterm. Then:
-  <xmp>
-    H(f) = min(H(f0)+h0,H(f1)+h1)
-  </xmp>
-  where f0 and f1 are the two cofactors of f with respect to its top
-  variable; h0 is 1 if the minterm assigns 1 to the top variable of f;
-  h1 is 1 if the minterm assigns 0 to the top variable of f.
-  The upper bound on the distance is used to bound the depth of the
-  recursion.
-  Returns the minimum distance unless it exceeds the upper bound or
-  computation fails.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_MinHammingDist]
-
-******************************************************************************/
-static int
-cuddMinHammingDistRecur(
-  DdNode * f,
-  int *minterm,
-  DdHashTable * table,
-  int upperBound)
-{
-    DdNode    *F, *Ft, *Fe;
-    double    h, hT, hE;
-    DdNode    *zero, *res;
-    DdManager    *dd = table->manager;
-
-    statLine(dd);
-    if (upperBound == 0) return(0);
-
-    F = Cudd_Regular(f);
-
-    if (cuddIsConstant(F)) {
-    zero = Cudd_Not(DD_ONE(dd));
-    if (f == dd->background || f == zero) {
-        return(upperBound);
-    } else {
-        return(0);
-    }
-    }
-    if ((res = cuddHashTableLookup1(table,f)) != NULL) {
-    h = cuddV(res);
-    if (res->ref == 0) {
-        dd->dead++;
-        dd->constants.dead++;
-    }
-    return((int) h);
-    }
-
-    Ft = cuddT(F); Fe = cuddE(F);
-    if (Cudd_IsComplement(f)) {
-    Ft = Cudd_Not(Ft); Fe = Cudd_Not(Fe);
-    }
-    if (minterm[F->index] == 0) {
-    DdNode *temp = Ft;
-    Ft = Fe; Fe = temp;
-    }
-
-    hT = cuddMinHammingDistRecur(Ft,minterm,table,upperBound);
-    if (hT == CUDD_OUT_OF_MEM) return(CUDD_OUT_OF_MEM);
-    if (hT == 0) {
-    hE = upperBound;
-    } else {
-    hE = cuddMinHammingDistRecur(Fe,minterm,table,upperBound - 1);
-    if (hE == CUDD_OUT_OF_MEM) return(CUDD_OUT_OF_MEM);
-    }
-    h = ddMin(hT, hE + 1);
-
-    if (F->ref != 1) {
-    ptrint fanout = (ptrint) F->ref;
-    cuddSatDec(fanout);
-    res = cuddUniqueConst(dd, (CUDD_VALUE_TYPE) h);
-    if (!cuddHashTableInsert1(table,f,res,fanout)) {
-        cuddRef(res); Cudd_RecursiveDeref(dd, res);
-        return(CUDD_OUT_OF_MEM);
-    }
-    }
-
-    return((int) h);
-
-} /* end of cuddMinHammingDistRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Separates cube from distance.]
-
-  Description [Separates cube from distance.  Returns the cube if
-  successful; NULL otherwise.]
-
-  SideEffects [The distance is returned as a side effect.]
-
-  SeeAlso     [cuddBddClosestCube createResult]
-
-******************************************************************************/
-static DdNode *
-separateCube(
-  DdManager *dd,
-  DdNode *f,
-  CUDD_VALUE_TYPE *distance)
-{
-    DdNode *cube, *t;
-
-    /* One and zero are special cases because the distance is implied. */
-    if (Cudd_IsConstant(f)) {
-    *distance = (f == DD_ONE(dd)) ? 0.0 :
-        (1.0 + (CUDD_VALUE_TYPE) CUDD_CONST_INDEX);
-    return(f);
-    }
-
-    /* Find out which branch points to the distance and replace the top
-    ** node with one pointing to zero instead. */
-    t = cuddT(f);
-    if (Cudd_IsConstant(t) && cuddV(t) <= 0) {
-#ifdef DD_DEBUG
-    assert(!Cudd_IsConstant(cuddE(f)) || cuddE(f) == DD_ONE(dd));
-#endif
-    *distance = -cuddV(t);
-    cube = cuddUniqueInter(dd, f->index, DD_ZERO(dd), cuddE(f));
-    } else {
-#ifdef DD_DEBUG
-    assert(!Cudd_IsConstant(t) || t == DD_ONE(dd));
-#endif
-    *distance = -cuddV(cuddE(f));
-    cube = cuddUniqueInter(dd, f->index, t, DD_ZERO(dd));
-    }
-
-    return(cube);
-
-} /* end of separateCube */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Builds a result for cache storage.]
-
-  Description [Builds a result for cache storage.  Returns a pointer
-  to the resulting ADD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddBddClosestCube separateCube]
-
-******************************************************************************/
-static DdNode *
-createResult(
-  DdManager *dd,
-  unsigned int index,
-  unsigned int phase,
-  DdNode *cube,
-  CUDD_VALUE_TYPE distance)
-{
-    DdNode *res, *constant;
-
-    /* Special case.  The cube is either one or zero, and we do not
-    ** add any variables.  Hence, the result is also one or zero,
-    ** and the distance remains implied by teh value of the constant. */
-    if (index == CUDD_CONST_INDEX && Cudd_IsConstant(cube)) return(cube);
-
-    constant = cuddUniqueConst(dd,-distance);
-    if (constant == NULL) return(NULL);
-    cuddRef(constant);
-
-    if (index == CUDD_CONST_INDEX) {
-    /* Replace the top node. */
-    if (cuddT(cube) == DD_ZERO(dd)) {
-        res = cuddUniqueInter(dd,cube->index,constant,cuddE(cube));
-    } else {
-        res = cuddUniqueInter(dd,cube->index,cuddT(cube),constant);
-    }
-    } else {
-    /* Add a new top node. */
-#ifdef DD_DEBUG
-    assert(cuddI(dd,index) < cuddI(dd,cube->index));
-#endif
-    if (phase) {
-        res = cuddUniqueInter(dd,index,cube,constant);
-    } else {
-        res = cuddUniqueInter(dd,index,constant,cube);
-    }
-    }
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd, constant);
-    return(NULL);
-    }
-    cuddDeref(constant); /* safe because constant is part of res */
-
-    return(res);
-
-} /* end of createResult */
diff --git a/src/bdd/cudd/cuddRead.c b/src/bdd/cudd/cuddRead.c
deleted file mode 100644
index 2c4a86d8..00000000
--- a/src/bdd/cudd/cuddRead.c
+++ /dev/null
@@ -1,490 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddRead.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions to read in a matrix]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_addRead()
-        <li> Cudd_bddRead()
-        </ul>]
-
-  SeeAlso     [cudd_addHarwell.c]
-
-  Author      [Fabio Somenzi]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddRead.c,v 1.1.1.1 2003/02/24 22:23:52 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads in a sparse matrix.]
-
-  Description [Reads in a sparse matrix specified in a simple format.
-  The first line of the input contains the numbers of rows and columns.
-  The remaining lines contain the elements of the matrix, one per line.
-  Given a background value
-  (specified by the background field of the manager), only the values
-  different from it are explicitly listed.  Each foreground element is
-  described by two integers, i.e., the row and column number, and a
-  real number, i.e., the value.<p>
-  Cudd_addRead produces an ADD that depends on two sets of variables: x
-  and y.  The x variables (x\[0\] ... x\[nx-1\]) encode the row index and
-  the y variables (y\[0\] ... y\[ny-1\]) encode the column index.
-  x\[0\] and y\[0\] are the most significant bits in the indices.
-  The variables may already exist or may be created by the function.
-  The index of x\[i\] is bx+i*sx, and the index of y\[i\] is by+i*sy.<p>
-  On input, nx and ny hold the numbers
-  of row and column variables already in existence. On output, they
-  hold the numbers of row and column variables actually used by the
-  matrix. When Cudd_addRead creates the variable arrays,
-  the index of x\[i\] is bx+i*sx, and the index of y\[i\] is by+i*sy.
-  When some variables already exist Cudd_addRead expects the indices
-  of the existing x variables to be bx+i*sx, and the indices of the
-  existing y variables to be by+i*sy.<p>
-  m and n are set to the numbers of rows and columns of the
-  matrix.  Their values on input are immaterial.
-  The ADD for the
-  sparse matrix is returned in E, and its reference count is > 0.
-  Cudd_addRead returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [nx and ny are set to the numbers of row and column
-  variables. m and n are set to the numbers of rows and columns. x and y
-  are possibly extended to represent the array of row and column
-  variables. Similarly for xn and yn_, which hold on return from
-  Cudd_addRead the complements of the row and column variables.]
-
-  SeeAlso     [Cudd_addHarwell Cudd_bddRead]
-
-******************************************************************************/
-int
-Cudd_addRead(
-  FILE * fp /* input file pointer */,
-  DdManager * dd /* DD manager */,
-  DdNode ** E /* characteristic function of the graph */,
-  DdNode *** x /* array of row variables */,
-  DdNode *** y /* array of column variables */,
-  DdNode *** xn /* array of complemented row variables */,
-  DdNode *** yn_ /* array of complemented column variables */,
-  int * nx /* number or row variables */,
-  int * ny /* number or column variables */,
-  int * m /* number of rows */,
-  int * n /* number of columns */,
-  int  bx /* first index of row variables */,
-  int  sx /* step of row variables */,
-  int  by /* first index of column variables */,
-  int  sy /* step of column variables */)
-{
-    DdNode *one, *zero;
-    DdNode *w, *neW;
-    DdNode *minterm1;
-    int u, v, err, i, nv;
-    int lnx, lny;
-    CUDD_VALUE_TYPE val;
-    DdNode **lx, **ly, **lxn, **lyn;
-
-    one = DD_ONE(dd);
-    zero = DD_ZERO(dd);
-
-    err = fscanf(fp, "%d %d", &u, &v);
-    if (err == EOF) {
-    return(0);
-    } else if (err != 2) {
-    return(0);
-    }
-
-    *m = u;
-    /* Compute the number of x variables. */
-    lx = *x; lxn = *xn;
-    u--;     /* row and column numbers start from 0 */
-    for (lnx=0; u > 0; lnx++) {
-    u >>= 1;
-    }
-    /* Here we rely on the fact that REALLOC of a null pointer is
-    ** translates to an ALLOC.
-    */
-    if (lnx > *nx) {
-    *x = lx = REALLOC(DdNode *, *x, lnx);
-    if (lx == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    *xn = lxn =  REALLOC(DdNode *, *xn, lnx);
-    if (lxn == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    }
-
-    *n = v;
-    /* Compute the number of y variables. */
-    ly = *y; lyn = *yn_;
-    v--;     /* row and column numbers start from 0 */
-    for (lny=0; v > 0; lny++) {
-    v >>= 1;
-    }
-    /* Here we rely on the fact that REALLOC of a null pointer is
-    ** translates to an ALLOC.
-    */
-    if (lny > *ny) {
-    *y = ly = REALLOC(DdNode *, *y, lny);
-    if (ly == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    *yn_ = lyn =  REALLOC(DdNode *, *yn_, lny);
-    if (lyn == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    }
-
-    /* Create all new variables. */
-    for (i = *nx, nv = bx + (*nx) * sx; i < lnx; i++, nv += sx) {
-    do {
-        dd->reordered = 0;
-        lx[i] = cuddUniqueInter(dd, nv, one, zero);
-    } while (dd->reordered == 1);
-    if (lx[i] == NULL) return(0);
-        cuddRef(lx[i]);
-    do {
-        dd->reordered = 0;
-        lxn[i] = cuddUniqueInter(dd, nv, zero, one);
-    } while (dd->reordered == 1);
-    if (lxn[i] == NULL) return(0);
-        cuddRef(lxn[i]);
-    }
-    for (i = *ny, nv = by + (*ny) * sy; i < lny; i++, nv += sy) {
-    do {
-        dd->reordered = 0;
-        ly[i] = cuddUniqueInter(dd, nv, one, zero);
-    } while (dd->reordered == 1);
-    if (ly[i] == NULL) return(0);
-    cuddRef(ly[i]);
-    do {
-        dd->reordered = 0;
-        lyn[i] = cuddUniqueInter(dd, nv, zero, one);
-    } while (dd->reordered == 1);
-    if (lyn[i] == NULL) return(0);
-    cuddRef(lyn[i]);
-    }
-    *nx = lnx;
-    *ny = lny;
-
-    *E = dd->background; /* this call will never cause reordering */
-    cuddRef(*E);
-
-    while (! feof(fp)) {
-    err = fscanf(fp, "%d %d %lf", &u, &v, &val);
-    if (err == EOF) {
-        break;
-    } else if (err != 3) {
-        return(0);
-    } else if (u >= *m || v >= *n || u < 0 || v < 0) {
-        return(0);
-    }
- 
-    minterm1 = one; cuddRef(minterm1);
-
-    /* Build minterm1 corresponding to this arc */
-    for (i = lnx - 1; i>=0; i--) {
-        if (u & 1) {
-        w = Cudd_addApply(dd, Cudd_addTimes, minterm1, lx[i]);
-        } else {
-        w = Cudd_addApply(dd, Cudd_addTimes, minterm1, lxn[i]);
-        }
-        if (w == NULL) {
-        Cudd_RecursiveDeref(dd, minterm1);
-        return(0);
-        }
-        cuddRef(w);
-        Cudd_RecursiveDeref(dd, minterm1);
-        minterm1 = w;
-        u >>= 1;
-    }
-    for (i = lny - 1; i>=0; i--) {
-        if (v & 1) {
-        w = Cudd_addApply(dd, Cudd_addTimes, minterm1, ly[i]);
-        } else {
-        w = Cudd_addApply(dd, Cudd_addTimes, minterm1, lyn[i]);
-        }
-        if (w == NULL) {
-        Cudd_RecursiveDeref(dd, minterm1);
-        return(0);
-        }
-        cuddRef(w);
-        Cudd_RecursiveDeref(dd, minterm1);
-        minterm1 = w;
-        v >>= 1;
-    }
-    /* Create new constant node if necessary.
-    ** This call will never cause reordering.
-    */
-    neW = cuddUniqueConst(dd, val);
-    if (neW == NULL) {
-        Cudd_RecursiveDeref(dd, minterm1);
-        return(0);
-    }
-        cuddRef(neW);
-
-    w = Cudd_addIte(dd, minterm1, neW, *E);
-    if (w == NULL) {
-        Cudd_RecursiveDeref(dd, minterm1);
-        Cudd_RecursiveDeref(dd, neW);
-        return(0);
-    }
-    cuddRef(w);
-    Cudd_RecursiveDeref(dd, minterm1);
-    Cudd_RecursiveDeref(dd, neW);
-    Cudd_RecursiveDeref(dd, *E);
-    *E = w;
-    }
-    return(1);
-
-} /* end of Cudd_addRead */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reads in a graph (without labels) given as a list of arcs.]
-
-  Description [Reads in a graph (without labels) given as an adjacency
-  matrix.  The first line of the input contains the numbers of rows and
-  columns of the adjacency matrix. The remaining lines contain the arcs
-  of the graph, one per line. Each arc is described by two integers,
-  i.e., the row and column number, or the indices of the two endpoints.
-  Cudd_bddRead produces a BDD that depends on two sets of variables: x
-  and y.  The x variables (x\[0\] ... x\[nx-1\]) encode
-  the row index and the y variables (y\[0\] ... y\[ny-1\]) encode the
-  column index. x\[0\] and y\[0\] are the most significant bits in the
-  indices.
-  The variables may already exist or may be created by the function.
-  The index of x\[i\] is bx+i*sx, and the index of y\[i\] is by+i*sy.<p>
-  On input, nx and ny hold the numbers of row and column variables already
-  in existence. On output, they hold the numbers of row and column
-  variables actually used by the matrix. When Cudd_bddRead creates the
-  variable arrays, the index of x\[i\] is bx+i*sx, and the index of
-  y\[i\] is by+i*sy. When some variables already exist, Cudd_bddRead
-  expects the indices of the existing x variables to be bx+i*sx, and the
-  indices of the existing y variables to be by+i*sy.<p>
-  m and n are set to the numbers of rows and columns of the
-  matrix.  Their values on input are immaterial.  The BDD for the graph
-  is returned in E, and its reference count is > 0. Cudd_bddRead returns
-  1 in case of success; 0 otherwise.]
-
-  SideEffects [nx and ny are set to the numbers of row and column
-  variables. m and n are set to the numbers of rows and columns. x and y
-  are possibly extended to represent the array of row and column
-  variables.]
-
-  SeeAlso     [Cudd_addHarwell Cudd_addRead]
-
-******************************************************************************/
-int
-Cudd_bddRead(
-  FILE * fp /* input file pointer */,
-  DdManager * dd /* DD manager */,
-  DdNode ** E /* characteristic function of the graph */,
-  DdNode *** x /* array of row variables */,
-  DdNode *** y /* array of column variables */,
-  int * nx /* number or row variables */,
-  int * ny /* number or column variables */,
-  int * m /* number of rows */,
-  int * n /* number of columns */,
-  int  bx /* first index of row variables */,
-  int  sx /* step of row variables */,
-  int  by /* first index of column variables */,
-  int  sy /* step of column variables */)
-{
-    DdNode *one, *zero;
-    DdNode *w;
-    DdNode *minterm1;
-    int u, v, err, i, nv;
-    int lnx, lny;
-    DdNode **lx, **ly;
-
-    one = DD_ONE(dd);
-    zero = Cudd_Not(one);
-
-    err = fscanf(fp, "%d %d", &u, &v);
-    if (err == EOF) {
-    return(0);
-    } else if (err != 2) {
-    return(0);
-    }
-
-    *m = u;
-    /* Compute the number of x variables. */
-    lx = *x;
-    u--;     /* row and column numbers start from 0 */
-    for (lnx=0; u > 0; lnx++) {
-    u >>= 1;
-    }
-    if (lnx > *nx) {
-    *x = lx = REALLOC(DdNode *, *x, lnx);
-    if (lx == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    }
-
-    *n = v;
-    /* Compute the number of y variables. */
-    ly = *y;
-    v--;     /* row and column numbers start from 0 */
-    for (lny=0; v > 0; lny++) {
-    v >>= 1;
-    }
-    if (lny > *ny) {
-    *y = ly = REALLOC(DdNode *, *y, lny);
-    if (ly == NULL) {
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    }
-
-    /* Create all new variables. */
-    for (i = *nx, nv = bx + (*nx) * sx; i < lnx; i++, nv += sx) {
-    do {
-        dd->reordered = 0;
-        lx[i] = cuddUniqueInter(dd, nv, one, zero);
-    } while (dd->reordered == 1);
-    if (lx[i] == NULL) return(0);
-        cuddRef(lx[i]);
-    }
-    for (i = *ny, nv = by + (*ny) * sy; i < lny; i++, nv += sy) {
-    do {
-        dd->reordered = 0;
-        ly[i] = cuddUniqueInter(dd, nv, one, zero);
-    } while (dd->reordered == 1);
-    if (ly[i] == NULL) return(0);
-    cuddRef(ly[i]);
-    }
-    *nx = lnx;
-    *ny = lny;
-
-    *E = zero; /* this call will never cause reordering */
-    cuddRef(*E);
-
-    while (! feof(fp)) {
-    err = fscanf(fp, "%d %d", &u, &v);
-    if (err == EOF) {
-        break;
-    } else if (err != 2) {
-        return(0);
-    } else if (u >= *m || v >= *n || u < 0 || v < 0) {
-        return(0);
-    }
- 
-    minterm1 = one; cuddRef(minterm1);
-
-    /* Build minterm1 corresponding to this arc. */
-    for (i = lnx - 1; i>=0; i--) {
-        if (u & 1) {
-        w = Cudd_bddAnd(dd, minterm1, lx[i]);
-        } else {
-        w = Cudd_bddAnd(dd, minterm1, Cudd_Not(lx[i]));
-        }
-        if (w == NULL) {
-        Cudd_RecursiveDeref(dd, minterm1);
-        return(0);
-        }
-        cuddRef(w);
-        Cudd_RecursiveDeref(dd,minterm1);
-        minterm1 = w;
-        u >>= 1;
-    }
-    for (i = lny - 1; i>=0; i--) {
-        if (v & 1) {
-        w = Cudd_bddAnd(dd, minterm1, ly[i]);
-        } else {
-        w = Cudd_bddAnd(dd, minterm1, Cudd_Not(ly[i]));
-        }
-        if (w == NULL) {
-        Cudd_RecursiveDeref(dd, minterm1);
-        return(0);
-        }
-        cuddRef(w);
-        Cudd_RecursiveDeref(dd, minterm1);
-        minterm1 = w;
-        v >>= 1;
-    }
-
-    w = Cudd_bddAnd(dd, Cudd_Not(minterm1), Cudd_Not(*E));
-    if (w == NULL) {
-        Cudd_RecursiveDeref(dd, minterm1);
-        return(0);
-    }
-    w = Cudd_Not(w);
-    cuddRef(w);
-    Cudd_RecursiveDeref(dd, minterm1);
-    Cudd_RecursiveDeref(dd, *E);
-    *E = w;
-    }
-    return(1);
-
-} /* end of Cudd_bddRead */
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
diff --git a/src/bdd/cudd/cuddRef.c b/src/bdd/cudd/cuddRef.c
deleted file mode 100644
index a9241f3d..00000000
--- a/src/bdd/cudd/cuddRef.c
+++ /dev/null
@@ -1,781 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddRef.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions that manipulate the reference counts.]
-
-  Description [External procedures included in this module:
-            <ul>
-            <li> Cudd_Ref()
-            <li> Cudd_RecursiveDeref()
-            <li> Cudd_IterDerefBdd()
-            <li> Cudd_DelayedDerefBdd()
-            <li> Cudd_RecursiveDerefZdd()
-            <li> Cudd_Deref()
-            <li> Cudd_CheckZeroRef()
-            </ul>
-           Internal procedures included in this module:
-            <ul>
-            <li> cuddReclaim()
-            <li> cuddReclaimZdd()
-            <li> cuddClearDeathRow()
-            <li> cuddShrinkDeathRow()
-            <li> cuddIsInDeathRow()
-            <li> cuddTimesInDeathRow()
-            </ul>
-          ]
-
-  SeeAlso     []
-
-  Author      [Fabio Somenzi]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddRef.c,v 1.1.1.1 2003/02/24 22:23:53 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis [Increases the reference count of a node, if it is not
-  saturated.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_RecursiveDeref Cudd_Deref]
-
-******************************************************************************/
-void
-Cudd_Ref(
-  DdNode * n)
-{
-
-    n = Cudd_Regular(n);
-
-    cuddSatInc(n->ref);
-
-} /* end of Cudd_Ref */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Decreases the reference count of node n.]
-
-  Description [Decreases the reference count of node n. If n dies,
-  recursively decreases the reference counts of its children.  It is
-  used to dispose of a DD that is no longer needed.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_Deref Cudd_Ref Cudd_RecursiveDerefZdd]
-
-******************************************************************************/
-void
-Cudd_RecursiveDeref(
-  DdManager * table,
-  DdNode * n)
-{
-    DdNode *N;
-    int ord;
-    DdNodePtr *stack = table->stack;
-    int SP = 1;
-
-    unsigned int live = table->keys - table->dead;
-    if (live > table->peakLiveNodes) {
-    table->peakLiveNodes = live;
-    }
-
-    N = Cudd_Regular(n);
-
-    do {
-#ifdef DD_DEBUG
-    assert(N->ref != 0);
-#endif
-
-    if (N->ref == 1) {
-        N->ref = 0;
-        table->dead++;
-#ifdef DD_STATS
-        table->nodesDropped++;
-#endif
-        if (cuddIsConstant(N)) {
-        table->constants.dead++;
-        N = stack[--SP];
-        } else {
-        ord = table->perm[N->index];
-        stack[SP++] = Cudd_Regular(cuddE(N));
-        table->subtables[ord].dead++;
-        N = cuddT(N);
-        }
-    } else {
-        cuddSatDec(N->ref);
-        N = stack[--SP];
-    }
-    } while (SP != 0);
-
-} /* end of Cudd_RecursiveDeref */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Decreases the reference count of BDD node n.]
-
-  Description [Decreases the reference count of node n. If n dies,
-  recursively decreases the reference counts of its children.  It is
-  used to dispose of a BDD that is no longer needed. It is more
-  efficient than Cudd_RecursiveDeref, but it cannot be used on
-  ADDs. The greater efficiency comes from being able to assume that no
-  constant node will ever die as a result of a call to this
-  procedure.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_RecursiveDeref Cudd_DelayedDerefBdd]
-
-******************************************************************************/
-void
-Cudd_IterDerefBdd(
-  DdManager * table,
-  DdNode * n)
-{
-    DdNode *N;
-    int ord;
-    DdNodePtr *stack = table->stack;
-    int SP = 1;
-
-    unsigned int live = table->keys - table->dead;
-    if (live > table->peakLiveNodes) {
-    table->peakLiveNodes = live;
-    }
-
-    N = Cudd_Regular(n);
-
-    do {
-#ifdef DD_DEBUG
-    assert(N->ref != 0);
-#endif
-
-    if (N->ref == 1) {
-        N->ref = 0;
-        table->dead++;
-#ifdef DD_STATS
-        table->nodesDropped++;
-#endif
-        ord = table->perm[N->index];
-        stack[SP++] = Cudd_Regular(cuddE(N));
-        table->subtables[ord].dead++;
-        N = cuddT(N);
-    } else {
-        cuddSatDec(N->ref);
-        N = stack[--SP];
-    }
-    } while (SP != 0);
-
-} /* end of Cudd_IterDerefBdd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Decreases the reference count of BDD node n.]
-
-  Description [Enqueues node n for later dereferencing. If the queue
-  is full decreases the reference count of the oldest node N to make
-  room for n. If N dies, recursively decreases the reference counts of
-  its children.  It is used to dispose of a BDD that is currently not
-  needed, but may be useful again in the near future. The dereferencing
-  proper is done as in Cudd_IterDerefBdd.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_RecursiveDeref Cudd_IterDerefBdd]
-
-******************************************************************************/
-void
-Cudd_DelayedDerefBdd(
-  DdManager * table,
-  DdNode * n)
-{
-    DdNode *N;
-    int ord;
-    DdNodePtr *stack;
-    int SP;
-
-    unsigned int live = table->keys - table->dead;
-    if (live > table->peakLiveNodes) {
-    table->peakLiveNodes = live;
-    }
-
-    n = Cudd_Regular(n);
-#ifdef DD_DEBUG
-    assert(n->ref != 0);
-#endif
-
-#ifdef DD_NO_DEATH_ROW
-    N = n;
-#else
-    if (cuddIsConstant(n) || n->ref > 1) {
-#ifdef DD_DEBUG
-    assert(n->ref != 1 && (!cuddIsConstant(n) || n == DD_ONE(table)));
-#endif
-    cuddSatDec(n->ref);
-    return;
-    }
-
-    N = table->deathRow[table->nextDead];
-
-    if (N != NULL) {
-#endif
-#ifdef DD_DEBUG
-    assert(!Cudd_IsComplement(N));
-#endif
-    stack = table->stack;
-    SP = 1;
-    do {
-#ifdef DD_DEBUG
-        assert(N->ref != 0);
-#endif
-        if (N->ref == 1) {
-        N->ref = 0;
-        table->dead++;
-#ifdef DD_STATS
-        table->nodesDropped++;
-#endif
-        ord = table->perm[N->index];
-        stack[SP++] = Cudd_Regular(cuddE(N));
-        table->subtables[ord].dead++;
-        N = cuddT(N);
-        } else {
-        cuddSatDec(N->ref);
-        N = stack[--SP];
-        }
-    } while (SP != 0);
-#ifndef DD_NO_DEATH_ROW
-    }
-    table->deathRow[table->nextDead] = n;
-
-    /* Udate insertion point. */
-    table->nextDead++;
-    table->nextDead &= table->deadMask;
-#if 0
-    if (table->nextDead == table->deathRowDepth) {
-    if (table->deathRowDepth < table->looseUpTo / 2) {
-        extern void (*MMoutOfMemory)(long);
-        void (*saveHandler)(long) = MMoutOfMemory;
-        DdNodePtr *newRow;
-        MMoutOfMemory = Cudd_OutOfMem;
-        newRow = REALLOC(DdNodePtr,table->deathRow,2*table->deathRowDepth);
-        MMoutOfMemory = saveHandler;
-        if (newRow == NULL) {
-        table->nextDead = 0;
-        } else {
-        int i;
-        table->memused += table->deathRowDepth;
-        i = table->deathRowDepth;
-        table->deathRowDepth <<= 1;
-        for (; i < table->deathRowDepth; i++) {
-            newRow[i] = NULL;
-        }
-        table->deadMask = table->deathRowDepth - 1;
-        table->deathRow = newRow;
-        }
-    } else {
-        table->nextDead = 0;
-    }
-    }
-#endif
-#endif
-
-} /* end of Cudd_DelayedDerefBdd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Decreases the reference count of ZDD node n.]
-
-  Description [Decreases the reference count of ZDD node n. If n dies,
-  recursively decreases the reference counts of its children.  It is
-  used to dispose of a ZDD that is no longer needed.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_Deref Cudd_Ref Cudd_RecursiveDeref]
-
-******************************************************************************/
-void
-Cudd_RecursiveDerefZdd(
-  DdManager * table,
-  DdNode * n)
-{
-    DdNode *N;
-    int ord;
-    DdNodePtr *stack = table->stack;
-    int SP = 1;
-
-    N = n;
-
-    do {
-#ifdef DD_DEBUG
-    assert(N->ref != 0);
-#endif
-
-    cuddSatDec(N->ref);
-    
-    if (N->ref == 0) {
-        table->deadZ++;
-#ifdef DD_STATS
-        table->nodesDropped++;
-#endif
-#ifdef DD_DEBUG
-        assert(!cuddIsConstant(N));
-#endif
-        ord = table->permZ[N->index];
-        stack[SP++] = cuddE(N);
-        table->subtableZ[ord].dead++;
-        N = cuddT(N);
-    } else {
-        N = stack[--SP];
-    }
-    } while (SP != 0);
-
-} /* end of Cudd_RecursiveDerefZdd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Decreases the reference count of node.]
-
-  Description [Decreases the reference count of node. It is primarily
-  used in recursive procedures to decrease the ref count of a result
-  node before returning it. This accomplishes the goal of removing the
-  protection applied by a previous Cudd_Ref.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_RecursiveDeref Cudd_RecursiveDerefZdd Cudd_Ref]
-
-******************************************************************************/
-void
-Cudd_Deref(
-  DdNode * node)
-{
-    node = Cudd_Regular(node);
-    cuddSatDec(node->ref);
-
-} /* end of Cudd_Deref */
-
-
-/**Function********************************************************************
-
-  Synopsis [Checks the unique table for nodes with non-zero reference
-  counts.]
-
-  Description [Checks the unique table for nodes with non-zero
-  reference counts. It is normally called before Cudd_Quit to make sure
-  that there are no memory leaks due to missing Cudd_RecursiveDeref's.
-  Takes into account that reference counts may saturate and that the
-  basic constants and the projection functions are referenced by the
-  manager.  Returns the number of nodes with non-zero reference count.
-  (Except for the cases mentioned above.)]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-Cudd_CheckZeroRef(
-  DdManager * manager)
-{
-    int size;
-    int i, j;
-    int remain;    /* the expected number of remaining references to one */
-    DdNodePtr *nodelist;
-    DdNode *node;
-    DdNode *sentinel = &(manager->sentinel);
-    DdSubtable *subtable;
-    int count = 0;
-    int index;
-
-#ifndef DD_NO_DEATH_ROW
-    cuddClearDeathRow(manager);
-#endif
-
-    /* First look at the BDD/ADD subtables. */
-    remain = 1; /* reference from the manager */
-    size = manager->size;
-    remain += 2 * size;    /* reference from the BDD projection functions */
-
-    for (i = 0; i < size; i++) {
-    subtable = &(manager->subtables[i]);
-    nodelist = subtable->nodelist;
-    for (j = 0; (unsigned) j < subtable->slots; j++) {
-        node = nodelist[j];
-        while (node != sentinel) {
-        if (node->ref != 0 && node->ref != DD_MAXREF) {
-            index = (int) node->index;
-            if (node != manager->vars[index]) {
-            count++;
-            } else {
-            if (node->ref != 1) {
-                count++;
-            }
-            }
-        }
-        node = node->next;
-        }
-    }
-    }
-
-    /* Then look at the ZDD subtables. */
-    size = manager->sizeZ;
-    if (size) /* references from ZDD universe */
-    remain += 2;
-
-    for (i = 0; i < size; i++) {
-    subtable = &(manager->subtableZ[i]);
-    nodelist = subtable->nodelist;
-    for (j = 0; (unsigned) j < subtable->slots; j++) {
-        node = nodelist[j];
-        while (node != NULL) {
-        if (node->ref != 0 && node->ref != DD_MAXREF) {
-            index = (int) node->index;
-            if (node == manager->univ[manager->permZ[index]]) {
-            if (node->ref > 2) {
-                count++;
-            }
-            } else {
-            count++;
-            }
-        }
-        node = node->next;
-        }
-    }
-    }
-
-    /* Now examine the constant table. Plusinfinity, minusinfinity, and
-    ** zero are referenced by the manager. One is referenced by the
-    ** manager, by the ZDD universe, and by all projection functions.
-    ** All other nodes should have no references.
-    */
-    nodelist = manager->constants.nodelist;
-    for (j = 0; (unsigned) j < manager->constants.slots; j++) {
-    node = nodelist[j];
-    while (node != NULL) {
-        if (node->ref != 0 && node->ref != DD_MAXREF) {
-        if (node == manager->one) {
-            if ((int) node->ref != remain) {
-            count++;
-            }
-        } else if (node == manager->zero ||
-        node == manager->plusinfinity ||
-        node == manager->minusinfinity) {
-            if (node->ref != 1) {
-            count++;
-            }
-        } else {
-            count++;
-        }
-        }
-        node = node->next;
-    }
-    }
-    return(count);
-
-} /* end of Cudd_CheckZeroRef */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Brings children of a dead node back.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [cuddReclaimZdd]
-
-******************************************************************************/
-void
-cuddReclaim(
-  DdManager * table,
-  DdNode * n)
-{
-    DdNode *N;
-    int ord;
-    DdNodePtr *stack = table->stack;
-    int SP = 1;
-    double initialDead = table->dead;
-
-    N = Cudd_Regular(n);
-
-#ifdef DD_DEBUG
-    assert(N->ref == 0);
-#endif
-
-    do {
-    if (N->ref == 0) {
-        N->ref = 1;
-        table->dead--;
-        if (cuddIsConstant(N)) {
-        table->constants.dead--;
-        N = stack[--SP];
-        } else {
-        ord = table->perm[N->index];
-        stack[SP++] = Cudd_Regular(cuddE(N));
-        table->subtables[ord].dead--;
-        N = cuddT(N);
-        }
-    } else {
-        cuddSatInc(N->ref);
-        N = stack[--SP];
-    }
-    } while (SP != 0);
-
-    N = Cudd_Regular(n);
-    cuddSatDec(N->ref);
-    table->reclaimed += initialDead - table->dead;
-
-} /* end of cuddReclaim */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Brings children of a dead ZDD node back.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [cuddReclaim]
-
-******************************************************************************/
-void
-cuddReclaimZdd(
-  DdManager * table,
-  DdNode * n)
-{
-    DdNode *N;
-    int ord;
-    DdNodePtr *stack = table->stack;
-    int SP = 1;
-
-    N = n;
-
-#ifdef DD_DEBUG
-    assert(N->ref == 0);
-#endif
-
-    do {
-    cuddSatInc(N->ref);
-
-    if (N->ref == 1) {
-        table->deadZ--;
-        table->reclaimed++;
-#ifdef DD_DEBUG
-        assert(!cuddIsConstant(N));
-#endif
-        ord = table->permZ[N->index];
-        stack[SP++] = cuddE(N);
-        table->subtableZ[ord].dead--;
-        N = cuddT(N);
-    } else {
-        N = stack[--SP];
-    }
-    } while (SP != 0);
-
-    cuddSatDec(n->ref);
-
-} /* end of cuddReclaimZdd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Shrinks the death row.]
-
-  Description [Shrinks the death row by a factor of four.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddClearDeathRow]
-
-******************************************************************************/
-void
-cuddShrinkDeathRow(
-  DdManager *table)
-{
-#ifndef DD_NO_DEATH_ROW
-    int i;
-
-    if (table->deathRowDepth > 3) {
-    for (i = table->deathRowDepth/4; i < table->deathRowDepth; i++) {
-        if (table->deathRow[i] == NULL) break;
-        Cudd_IterDerefBdd(table,table->deathRow[i]);
-        table->deathRow[i] = NULL;
-    }
-    table->deathRowDepth /= 4;
-    table->deadMask = table->deathRowDepth - 2;
-    if ((unsigned) table->nextDead > table->deadMask) {
-        table->nextDead = 0;
-    }
-    table->deathRow = REALLOC(DdNodePtr, table->deathRow,
-                   table->deathRowDepth);
-    }
-#endif
-
-} /* end of cuddShrinkDeathRow */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Clears the death row.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DelayedDerefBdd Cudd_IterDerefBdd Cudd_CheckZeroRef
-  cuddGarbageCollect]
-
-******************************************************************************/
-void
-cuddClearDeathRow(
-  DdManager *table)
-{
-#ifndef DD_NO_DEATH_ROW
-    int i;
-
-    for (i = 0; i < table->deathRowDepth; i++) {
-    if (table->deathRow[i] == NULL) break;
-    Cudd_IterDerefBdd(table,table->deathRow[i]);
-    table->deathRow[i] = NULL;
-    }
-#ifdef DD_DEBUG
-    for (; i < table->deathRowDepth; i++) {
-    assert(table->deathRow[i] == NULL);
-    }
-#endif
-    table->nextDead = 0;
-#endif
-
-} /* end of cuddClearDeathRow */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks whether a node is in the death row.]
-
-  Description [Checks whether a node is in the death row. Returns the
-  position of the first occurrence if the node is present; -1
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DelayedDerefBdd cuddClearDeathRow]
-
-******************************************************************************/
-int
-cuddIsInDeathRow(
-  DdManager *dd,
-  DdNode *f)
-{
-#ifndef DD_NO_DEATH_ROW
-    int i;
-
-    for (i = 0; i < dd->deathRowDepth; i++) {
-    if (f == dd->deathRow[i]) {
-        return(i);
-    }
-    }
-#endif
-
-    return(-1);
-
-} /* end of cuddIsInDeathRow */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts how many times a node is in the death row.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DelayedDerefBdd cuddClearDeathRow cuddIsInDeathRow]
-
-******************************************************************************/
-int
-cuddTimesInDeathRow(
-  DdManager *dd,
-  DdNode *f)
-{
-    int count = 0;
-#ifndef DD_NO_DEATH_ROW
-    int i;
-
-    for (i = 0; i < dd->deathRowDepth; i++) {
-    count += f == dd->deathRow[i];
-    }
-#endif
-
-    return(count);
-
-} /* end of cuddTimesInDeathRow */
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
diff --git a/src/bdd/cudd/cuddReorder.c b/src/bdd/cudd/cuddReorder.c
deleted file mode 100644
index 1387196f..00000000
--- a/src/bdd/cudd/cuddReorder.c
+++ /dev/null
@@ -1,2090 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddReorder.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions for dynamic variable reordering.]
-
-  Description [External procedures included in this file:
-        <ul>
-        <li> Cudd_ReduceHeap()
-        <li> Cudd_ShuffleHeap()
-        </ul>
-    Internal procedures included in this module:
-        <ul>
-        <li> cuddDynamicAllocNode()
-        <li> cuddSifting()
-        <li> cuddSwapping()
-        <li> cuddNextHigh()
-        <li> cuddNextLow()
-        <li> cuddSwapInPlace()
-        <li> cuddBddAlignToZdd()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> ddUniqueCompare()
-        <li> ddSwapAny()
-        <li> ddSiftingAux()
-        <li> ddSiftingUp()
-        <li> ddSiftingDown()
-        <li> ddSiftingBackward()
-        <li> ddReorderPreprocess()
-        <li> ddReorderPostprocess()
-        <li> ddShuffle()
-        <li> ddSiftUp()
-        <li> bddFixTree()
-        </ul>]
-
-  Author      [Shipra Panda, Bernard Plessier, Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#define DD_MAX_SUBTABLE_SPARSITY 8
-#define DD_SHRINK_FACTOR 2
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddReorder.c,v 1.1.1.1 2003/02/24 22:23:53 wjiang Exp $";
-#endif
-
-static    int    *entry;
-
-int    ddTotalNumberSwapping;
-#ifdef DD_STATS
-int    ddTotalNISwaps;
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int ddUniqueCompare ARGS((int *ptrX, int *ptrY));
-static Move * ddSwapAny ARGS((DdManager *table, int x, int y));
-static int ddSiftingAux ARGS((DdManager *table, int x, int xLow, int xHigh));
-static Move * ddSiftingUp ARGS((DdManager *table, int y, int xLow));
-static Move * ddSiftingDown ARGS((DdManager *table, int x, int xHigh));
-static int ddSiftingBackward ARGS((DdManager *table, int size, Move *moves));
-static int ddReorderPreprocess ARGS((DdManager *table));
-static int ddReorderPostprocess ARGS((DdManager *table));
-static int ddShuffle ARGS((DdManager *table, int *permutation));
-static int ddSiftUp ARGS((DdManager *table, int x, int xLow));
-static void bddFixTree ARGS((DdManager *table, MtrNode *treenode));
-static int ddUpdateMtrTree ARGS((DdManager *table, MtrNode *treenode, int *perm, int *invperm));
-static int ddCheckPermuation ARGS((DdManager *table, MtrNode *treenode, int *perm, int *invperm));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Main dynamic reordering routine.]
-
-  Description [Main dynamic reordering routine.
-  Calls one of the possible reordering procedures:
-  <ul>
-  <li>Swapping
-  <li>Sifting
-  <li>Symmetric Sifting
-  <li>Group Sifting
-  <li>Window Permutation
-  <li>Simulated Annealing
-  <li>Genetic Algorithm
-  <li>Dynamic Programming (exact)
-  </ul>
-
-  For sifting, symmetric sifting, group sifting, and window
-  permutation it is possible to request reordering to convergence.<p>
-
-  The core of all methods is the reordering procedure
-  cuddSwapInPlace() which swaps two adjacent variables and is based
-  on Rudell's paper.
-  Returns 1 in case of success; 0 otherwise. In the case of symmetric
-  sifting (with and without convergence) returns 1 plus the number of
-  symmetric variables, in case of success.]
-
-  SideEffects [Changes the variable order for all diagrams and clears
-  the cache.]
-
-******************************************************************************/
-int
-Cudd_ReduceHeap(
-  DdManager * table /* DD manager */,
-  Cudd_ReorderingType heuristic /* method used for reordering */,
-  int  minsize /* bound below which no reordering occurs */)
-{
-    DdHook *hook;
-    int    result;
-    unsigned int nextDyn;
-#ifdef DD_STATS
-    unsigned int initialSize;
-    unsigned int finalSize;
-#endif
-    long localTime;
-
-    /* Don't reorder if there are too many dead nodes. */
-    if (table->keys - table->dead < (unsigned) minsize)
-    return(1);
-
-    if (heuristic == CUDD_REORDER_SAME) {
-    heuristic = table->autoMethod;
-    }
-    if (heuristic == CUDD_REORDER_NONE) {
-    return(1);
-    }
-
-    /* This call to Cudd_ReduceHeap does initiate reordering. Therefore
-    ** we count it.
-    */
-    table->reorderings++;
-
-    localTime = util_cpu_time();
-
-    /* Run the hook functions. */
-    hook = table->preReorderingHook;
-    while (hook != NULL) {
-    int res = (hook->f)(table, "BDD", (void *)heuristic);
-    if (res == 0) return(0);
-    hook = hook->next;
-    }
-
-    if (!ddReorderPreprocess(table)) return(0);
-    ddTotalNumberSwapping = 0;
-    
-    if (table->keys > table->peakLiveNodes) {
-    table->peakLiveNodes = table->keys;
-    }
-#ifdef DD_STATS
-    initialSize = table->keys - table->isolated;
-    ddTotalNISwaps = 0;
-
-    switch(heuristic) {
-    case CUDD_REORDER_RANDOM:
-    case CUDD_REORDER_RANDOM_PIVOT:
-    (void) fprintf(table->out,"#:I_RANDOM  ");
-    break;
-    case CUDD_REORDER_SIFT:
-    case CUDD_REORDER_SIFT_CONVERGE:
-    case CUDD_REORDER_SYMM_SIFT:
-    case CUDD_REORDER_SYMM_SIFT_CONV:
-    case CUDD_REORDER_GROUP_SIFT:
-    case CUDD_REORDER_GROUP_SIFT_CONV:
-    (void) fprintf(table->out,"#:I_SIFTING ");
-    break;
-    case CUDD_REORDER_WINDOW2:
-    case CUDD_REORDER_WINDOW3:
-    case CUDD_REORDER_WINDOW4:
-    case CUDD_REORDER_WINDOW2_CONV:
-    case CUDD_REORDER_WINDOW3_CONV:
-    case CUDD_REORDER_WINDOW4_CONV:
-    (void) fprintf(table->out,"#:I_WINDOW  ");
-    break;
-    case CUDD_REORDER_ANNEALING:
-    (void) fprintf(table->out,"#:I_ANNEAL  ");
-    break;
-    case CUDD_REORDER_GENETIC:
-    (void) fprintf(table->out,"#:I_GENETIC ");
-    break;
-    case CUDD_REORDER_LINEAR:
-    case CUDD_REORDER_LINEAR_CONVERGE:
-    (void) fprintf(table->out,"#:I_LINSIFT ");
-    break;
-    case CUDD_REORDER_EXACT:
-    (void) fprintf(table->out,"#:I_EXACT   ");
-    break;
-    default:
-    return(0);
-    }
-    (void) fprintf(table->out,"%8d: initial size",initialSize); 
-#endif
-
-    /* See if we should use alternate threshold for maximum growth. */
-    if (table->reordCycle && table->reorderings % table->reordCycle == 0) {
-    double saveGrowth = table->maxGrowth;
-    table->maxGrowth = table->maxGrowthAlt;
-    result = cuddTreeSifting(table,heuristic);
-    table->maxGrowth = saveGrowth;
-    } else {
-    result = cuddTreeSifting(table,heuristic);
-    }
-
-#ifdef DD_STATS
-    (void) fprintf(table->out,"\n");
-    finalSize = table->keys - table->isolated;
-    (void) fprintf(table->out,"#:F_REORDER %8d: final size\n",finalSize); 
-    (void) fprintf(table->out,"#:T_REORDER %8g: total time (sec)\n",
-           ((double)(util_cpu_time() - localTime)/1000.0)); 
-    (void) fprintf(table->out,"#:N_REORDER %8d: total swaps\n",
-           ddTotalNumberSwapping);
-    (void) fprintf(table->out,"#:M_REORDER %8d: NI swaps\n",ddTotalNISwaps);
-#endif
-
-    if (result == 0)
-    return(0);
-
-    if (!ddReorderPostprocess(table))
-    return(0);
-
-    if (table->realign) {
-    if (!cuddZddAlignToBdd(table))
-        return(0);
-    }
-
-    nextDyn = (table->keys - table->constants.keys + 1) *
-          DD_DYN_RATIO + table->constants.keys;
-    if (table->reorderings < 20 || nextDyn > table->nextDyn)
-    table->nextDyn = nextDyn;
-    else
-    table->nextDyn += 20;
-    table->reordered = 1;
-
-    /* Run hook functions. */
-    hook = table->postReorderingHook;
-    while (hook != NULL) {
-    int res = (hook->f)(table, "BDD", (void *)localTime);
-    if (res == 0) return(0);
-    hook = hook->next;
-    }
-    /* Update cumulative reordering time. */
-    table->reordTime += util_cpu_time() - localTime;
-
-    return(result);
-
-} /* end of Cudd_ReduceHeap */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders variables according to given permutation.]
-
-  Description [Reorders variables according to given permutation.
-  The i-th entry of the permutation array contains the index of the variable
-  that should be brought to the i-th level.  The size of the array should be
-  equal or greater to the number of variables currently in use.
-  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [Changes the variable order for all diagrams and clears
-  the cache.]
-
-  SeeAlso [Cudd_ReduceHeap]
-
-******************************************************************************/
-int
-Cudd_ShuffleHeap(
-  DdManager * table /* DD manager */,
-  int * permutation /* required variable permutation */)
-{
-
-    int    result;
-    int i;
-    int identity = 1;
-    int *perm;
-
-    /* Don't waste time in case of identity permutation. */
-    for (i = 0; i < table->size; i++) {
-    if (permutation[i] != table->invperm[i]) {
-        identity = 0;
-        break;
-    }
-    }
-    if (identity == 1) {
-    return(1);
-    }
-    if (!ddReorderPreprocess(table)) return(0);
-    if (table->keys > table->peakLiveNodes) {
-    table->peakLiveNodes = table->keys;
-    }
-
-    perm = ALLOC(int, table->size);
-    for (i = 0; i < table->size; i++)
-    perm[permutation[i]] = i;
-    if (!ddCheckPermuation(table,table->tree,perm,permutation)) {
-    FREE(perm);
-    return(0);
-    }
-    if (!ddUpdateMtrTree(table,table->tree,perm,permutation)) {
-    FREE(perm);
-    return(0);
-    }
-    FREE(perm);
-
-    result = ddShuffle(table,permutation);
-
-    if (!ddReorderPostprocess(table)) return(0);
-
-    return(result);
-
-} /* end of Cudd_ShuffleHeap */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Dynamically allocates a Node.]
-
-  Description [Dynamically allocates a Node. This procedure is similar
-  to cuddAllocNode in Cudd_Table.c, but it does not attempt garbage
-  collection, because during reordering there are no dead nodes.
-  Returns a pointer to a new node if successful; NULL is memory is
-  full.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddAllocNode]
-
-******************************************************************************/
-DdNode *
-cuddDynamicAllocNode(
-  DdManager * table)
-{
-    int     i;
-    DdNodePtr *mem;
-    DdNode *list, *node;
-    extern void (*MMoutOfMemory)(long);
-    void (*saveHandler)(long);
-
-    if (table->nextFree == NULL) {        /* free list is empty */
-    /* Try to allocate a new block. */
-    saveHandler = MMoutOfMemory;
-    MMoutOfMemory = Cudd_OutOfMem;
-    mem = (DdNodePtr *) ALLOC(DdNode, DD_MEM_CHUNK + 1);
-    MMoutOfMemory = saveHandler;
-    if (mem == NULL && table->stash != NULL) {
-        FREE(table->stash);
-        table->stash = NULL;
-        /* Inhibit resizing of tables. */
-        table->maxCacheHard = table->cacheSlots - 1;
-        table->cacheSlack = -(table->cacheSlots + 1);
-        for (i = 0; i < table->size; i++) {
-        table->subtables[i].maxKeys <<= 2;
-        }
-        mem = (DdNodePtr *) ALLOC(DdNode,DD_MEM_CHUNK + 1);
-    }
-    if (mem == NULL) {
-        /* Out of luck. Call the default handler to do
-        ** whatever it specifies for a failed malloc.  If this
-        ** handler returns, then set error code, print
-        ** warning, and return. */
-        (*MMoutOfMemory)(sizeof(DdNode)*(DD_MEM_CHUNK + 1));
-        table->errorCode = CUDD_MEMORY_OUT;
-#ifdef DD_VERBOSE
-        (void) fprintf(table->err,
-               "cuddDynamicAllocNode: out of memory");
-        (void) fprintf(table->err,"Memory in use = %ld\n",
-               table->memused);
-#endif
-        return(NULL);
-    } else {    /* successful allocation; slice memory */
-        unsigned long offset;
-        table->memused += (DD_MEM_CHUNK + 1) * sizeof(DdNode);
-        mem[0] = (DdNode *) table->memoryList;
-        table->memoryList = mem;
-
-        /* Here we rely on the fact that the size of a DdNode is a
-        ** power of 2 and a multiple of the size of a pointer.
-        ** If we align one node, all the others will be aligned
-        ** as well. */
-        offset = (unsigned long) mem & (sizeof(DdNode) - 1);
-        mem += (sizeof(DdNode) - offset) / sizeof(DdNodePtr);
-#ifdef DD_DEBUG
-        assert(((unsigned long) mem & (sizeof(DdNode) - 1)) == 0);
-#endif
-        list = (DdNode *) mem;
-
-        i = 1;
-        do {
-        list[i - 1].next = &list[i];
-        } while (++i < DD_MEM_CHUNK);
-
-        list[DD_MEM_CHUNK - 1].next = NULL;
-
-        table->nextFree = &list[0];
-    }
-    } /* if free list empty */
-
-    node = table->nextFree;
-    table->nextFree = node->next;
-    return (node);
-
-} /* end of cuddDynamicAllocNode */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implementation of Rudell's sifting algorithm.]
-
-  Description [Implementation of Rudell's sifting algorithm.
-  Assumes that no dead nodes are present.
-    <ol>
-    <li> Order all the variables according to the number of entries
-    in each unique table.
-    <li> Sift the variable up and down, remembering each time the
-    total size of the DD heap.
-    <li> Select the best permutation.
-    <li> Repeat 3 and 4 for all variables.
-    </ol>
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-int
-cuddSifting(
-  DdManager * table,
-  int  lower,
-  int  upper)
-{
-    int    i;
-    int    *var;
-    int    size;
-    int    x;
-    int    result;
-#ifdef DD_STATS
-    int    previousSize;
-#endif
-
-    size = table->size;
-
-    /* Find order in which to sift variables. */
-    var = NULL;
-    entry = ALLOC(int,size);
-    if (entry == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto cuddSiftingOutOfMem;
-    }
-    var = ALLOC(int,size);
-    if (var == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto cuddSiftingOutOfMem;
-    }
-
-    for (i = 0; i < size; i++) {
-    x = table->perm[i];
-    entry[i] = table->subtables[x].keys;
-    var[i] = i;
-    }
-
-    qsort((void *)var,size,sizeof(int),(int (*)(const void *, const void *))ddUniqueCompare);
-
-    /* Now sift. */
-    for (i = 0; i < ddMin(table->siftMaxVar,size); i++) {
-    if (ddTotalNumberSwapping >= table->siftMaxSwap)
-        break;
-    x = table->perm[var[i]];
-    
-    if (x < lower || x > upper || table->subtables[x].bindVar == 1) 
-        continue;
-#ifdef DD_STATS
-    previousSize = table->keys - table->isolated;
-#endif
-    result = ddSiftingAux(table, x, lower, upper);
-    if (!result) goto cuddSiftingOutOfMem;
-#ifdef DD_STATS
-    if (table->keys < (unsigned) previousSize + table->isolated) {
-        (void) fprintf(table->out,"-");
-    } else if (table->keys > (unsigned) previousSize + table->isolated) {
-        (void) fprintf(table->out,"+");    /* should never happen */
-        (void) fprintf(table->err,"\nSize increased from %d to %d while sifting variable %d\n", previousSize, table->keys - table->isolated, var[i]);
-    } else {
-        (void) fprintf(table->out,"=");
-    }
-    fflush(table->out);
-#endif
-    }
-
-    FREE(var);
-    FREE(entry);
-
-    return(1);
-
-cuddSiftingOutOfMem:
-
-    if (entry != NULL) FREE(entry);
-    if (var != NULL) FREE(var);
-
-    return(0); 
-
-} /* end of cuddSifting */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders variables by a sequence of (non-adjacent) swaps.]
-
-  Description [Implementation of Plessier's algorithm that reorders
-  variables by a sequence of (non-adjacent) swaps.
-    <ol>
-    <li> Select two variables (RANDOM or HEURISTIC).
-    <li> Permute these variables.
-    <li> If the nodes have decreased accept the permutation.
-    <li> Otherwise reconstruct the original heap.
-    <li> Loop.
-    </ol>
-  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-int
-cuddSwapping(
-  DdManager * table,
-  int lower,
-  int upper,
-  Cudd_ReorderingType heuristic)
-{
-    int    i, j;
-    int    max, keys;
-    int    nvars;
-    int    x, y;
-    int    iterate;
-    int previousSize;
-    Move *moves, *move;
-    int    pivot;
-    int    modulo;
-    int result;
-
-#ifdef DD_DEBUG
-    /* Sanity check */
-    assert(lower >= 0 && upper < table->size && lower <= upper);
-#endif
-
-    nvars = upper - lower + 1;
-    iterate = nvars;
-
-    for (i = 0; i < iterate; i++) {
-    if (ddTotalNumberSwapping >= table->siftMaxSwap)
-        break;
-    if (heuristic == CUDD_REORDER_RANDOM_PIVOT) {
-        max = -1;
-        for (j = lower; j <= upper; j++) {
-        if ((keys = table->subtables[j].keys) > max) {
-            max = keys;
-            pivot = j;
-        }
-        }
-
-        modulo = upper - pivot;
-        if (modulo == 0) {
-        y = pivot;
-        } else{
-        y = pivot + 1 + ((int) Cudd_Random() % modulo);
-        }
-
-        modulo = pivot - lower - 1;
-        if (modulo < 1) {
-        x = lower;
-        } else{
-        do {
-            x = (int) Cudd_Random() % modulo;
-        } while (x == y);
-        }
-    } else {
-        x = ((int) Cudd_Random() % nvars) + lower;
-        do {
-        y = ((int) Cudd_Random() % nvars) + lower;
-        } while (x == y);
-    }
-    previousSize = table->keys - table->isolated;
-    moves = ddSwapAny(table,x,y);
-    if (moves == NULL) goto cuddSwappingOutOfMem;
-    result = ddSiftingBackward(table,previousSize,moves);
-    if (!result) goto cuddSwappingOutOfMem;
-    while (moves != NULL) {
-        move = moves->next;
-        cuddDeallocNode(table, (DdNode *) moves);
-        moves = move;
-    }
-#ifdef DD_STATS
-    if (table->keys < (unsigned) previousSize + table->isolated) {
-        (void) fprintf(table->out,"-");
-    } else if (table->keys > (unsigned) previousSize + table->isolated) {
-        (void) fprintf(table->out,"+");    /* should never happen */
-    } else {
-        (void) fprintf(table->out,"=");
-    }
-    fflush(table->out);
-#endif
-#if 0
-    (void) fprintf(table->out,"#:t_SWAPPING %8d: tmp size\n",
-               table->keys - table->isolated); 
-#endif
-    }
-
-    return(1);
-
-cuddSwappingOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *) moves);
-    moves = move;
-    }
-
-    return(0);
-
-} /* end of cuddSwapping */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the next subtable with a larger index.]
-
-  Description [Finds the next subtable with a larger index. Returns the
-  index.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddNextLow]
-
-******************************************************************************/
-int
-cuddNextHigh(
-  DdManager * table,
-  int  x)
-{
-    return(x+1);
-
-} /* end of cuddNextHigh */
-    
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the next subtable with a smaller index.]
-
-  Description [Finds the next subtable with a smaller index. Returns the
-  index.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddNextHigh]
-
-******************************************************************************/
-int
-cuddNextLow(
-  DdManager * table,
-  int  x)
-{
-    return(x-1);
-
-} /* end of cuddNextLow */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Swaps two adjacent variables.]
-
-  Description [Swaps two adjacent variables. It assumes that no dead
-  nodes are present on entry to this procedure.  The procedure then
-  guarantees that no dead nodes will be present when it terminates.
-  cuddSwapInPlace assumes that x &lt; y.  Returns the number of keys in
-  the table if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-int
-cuddSwapInPlace(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    DdNodePtr *xlist, *ylist;
-    int    xindex, yindex;
-    int    xslots, yslots;
-    int    xshift, yshift;
-    int    oldxkeys, oldykeys;
-    int    newxkeys, newykeys;
-    int    comple, newcomplement;
-    int    i;
-    Cudd_VariableType varType;
-    Cudd_LazyGroupType groupType;
-    int    posn;
-    int    isolated;
-    DdNode *f,*f0,*f1,*f01,*f00,*f11,*f10,*newf1,*newf0;
-    DdNode *g,*next;
-    DdNodePtr *previousP;
-    DdNode *tmp;
-    DdNode *sentinel = &(table->sentinel);
-    extern void (*MMoutOfMemory)(long);
-    void (*saveHandler)(long);
-
-#if DD_DEBUG
-    int    count,idcheck;
-#endif
-
-#ifdef DD_DEBUG
-    assert(x < y);
-    assert(cuddNextHigh(table,x) == y);
-    assert(table->subtables[x].keys != 0);
-    assert(table->subtables[y].keys != 0);
-    assert(table->subtables[x].dead == 0);
-    assert(table->subtables[y].dead == 0);
-#endif
-
-    ddTotalNumberSwapping++;
-
-    /* Get parameters of x subtable. */
-    xindex = table->invperm[x];
-    xlist = table->subtables[x].nodelist; 
-    oldxkeys = table->subtables[x].keys;
-    xslots = table->subtables[x].slots;
-    xshift = table->subtables[x].shift;
-
-    /* Get parameters of y subtable. */
-    yindex = table->invperm[y];
-    ylist = table->subtables[y].nodelist;
-    oldykeys = table->subtables[y].keys;
-    yslots = table->subtables[y].slots;
-    yshift = table->subtables[y].shift;
-
-    if (!cuddTestInteract(table,xindex,yindex)) {
-#ifdef DD_STATS
-    ddTotalNISwaps++;
-#endif
-    newxkeys = oldxkeys;
-    newykeys = oldykeys;
-    } else {
-    newxkeys = 0;
-    newykeys = oldykeys;
-
-    /* Check whether the two projection functions involved in this
-    ** swap are isolated. At the end, we'll be able to tell how many
-    ** isolated projection functions are there by checking only these
-    ** two functions again. This is done to eliminate the isolated
-    ** projection functions from the node count.
-    */
-    isolated = - ((table->vars[xindex]->ref == 1) +
-             (table->vars[yindex]->ref == 1));
-
-    /* The nodes in the x layer that do not depend on
-    ** y will stay there; the others are put in a chain.
-    ** The chain is handled as a LIFO; g points to the beginning.
-    */
-    g = NULL;
-    if ((oldxkeys >= xslots || (unsigned) xslots == table->initSlots) &&
-        oldxkeys <= DD_MAX_SUBTABLE_DENSITY * xslots) {
-        for (i = 0; i < xslots; i++) {
-        previousP = &(xlist[i]);
-        f = *previousP;
-        while (f != sentinel) {
-            next = f->next;
-            f1 = cuddT(f); f0 = cuddE(f);
-            if (f1->index != (DdHalfWord) yindex &&
-            Cudd_Regular(f0)->index != (DdHalfWord) yindex) {
-            /* stays */
-            newxkeys++;
-            *previousP = f;
-            previousP = &(f->next);
-            } else {
-            f->index = yindex;
-            f->next = g;
-            g = f;
-            }
-            f = next;
-        } /* while there are elements in the collision chain */
-        *previousP = sentinel;
-        } /* for each slot of the x subtable */
-    } else {        /* resize xlist */
-        DdNode *h = NULL;
-        DdNodePtr *newxlist;
-        unsigned int newxslots;
-        int newxshift;
-        /* Empty current xlist. Nodes that stay go to list h;
-        ** nodes that move go to list g. */
-        for (i = 0; i < xslots; i++) {
-        f = xlist[i];
-        while (f != sentinel) {
-            next = f->next;
-            f1 = cuddT(f); f0 = cuddE(f);
-            if (f1->index != (DdHalfWord) yindex &&
-            Cudd_Regular(f0)->index != (DdHalfWord) yindex) {
-            /* stays */
-            f->next = h;
-            h = f;
-            newxkeys++;
-            } else {
-            f->index = yindex;
-            f->next = g;
-            g = f;
-            }
-            f = next;
-        } /* while there are elements in the collision chain */
-        } /* for each slot of the x subtable */
-        /* Decide size of new subtable. */
-        if (oldxkeys > DD_MAX_SUBTABLE_DENSITY * xslots) {
-        newxshift = xshift - 1;
-        newxslots = xslots << 1;
-        } else {
-        newxshift = xshift + 1;
-        newxslots = xslots >> 1;
-        }
-        /* Try to allocate new table. Be ready to back off. */
-        saveHandler = MMoutOfMemory;
-        MMoutOfMemory = Cudd_OutOfMem;
-        newxlist = ALLOC(DdNodePtr, newxslots);
-        MMoutOfMemory = saveHandler;
-        if (newxlist == NULL) {
-        (void) fprintf(table->err, "Unable to resize subtable %d for lack of memory\n", i);
-        newxlist = xlist;
-        newxslots = xslots;
-        newxshift = xshift;
-        } else {
-        table->slots += (newxslots - xslots);
-        table->minDead = (unsigned)
-            (table->gcFrac * (double) table->slots);
-        table->cacheSlack = (int)
-            ddMin(table->maxCacheHard, DD_MAX_CACHE_TO_SLOTS_RATIO
-              * table->slots) - 2 * (int) table->cacheSlots;
-        table->memused += (newxslots - xslots) * sizeof(DdNodePtr);
-        FREE(xlist);
-        xslots =  newxslots;
-        xshift = newxshift;
-        xlist = newxlist;
-        }
-        /* Initialize new subtable. */
-        for (i = 0; i < xslots; i++) {
-        xlist[i] = sentinel;
-        }
-        /* Move nodes that were parked in list h to their new home. */
-        f = h;
-        while (f != NULL) {
-        next = f->next;
-        f1 = cuddT(f);
-        f0 = cuddE(f);
-        /* Check xlist for pair (f11,f01). */
-        posn = ddHash(f1, f0, xshift);
-        /* For each element tmp in collision list xlist[posn]. */
-        previousP = &(xlist[posn]);
-        tmp = *previousP;
-        while (f1 < cuddT(tmp)) {
-            previousP = &(tmp->next);
-            tmp = *previousP;
-        }
-        while (f1 == cuddT(tmp) && f0 < cuddE(tmp)) {
-            previousP = &(tmp->next);
-            tmp = *previousP;
-        }
-        f->next = *previousP;
-        *previousP = f;
-        f = next;
-        }
-    }
-
-#ifdef DD_COUNT
-    table->swapSteps += oldxkeys - newxkeys;
-#endif
-    /* Take care of the x nodes that must be re-expressed.
-    ** They form a linked list pointed by g. Their index has been
-    ** already changed to yindex.
-    */
-    f = g;
-    while (f != NULL) {
-        next = f->next;
-        /* Find f1, f0, f11, f10, f01, f00. */
-        f1 = cuddT(f);
-#ifdef DD_DEBUG
-        assert(!(Cudd_IsComplement(f1)));
-#endif
-        if ((int) f1->index == yindex) {
-        f11 = cuddT(f1); f10 = cuddE(f1);
-        } else {
-        f11 = f10 = f1;
-        }
-#ifdef DD_DEBUG
-        assert(!(Cudd_IsComplement(f11)));
-#endif
-        f0 = cuddE(f);
-        comple = Cudd_IsComplement(f0);
-        f0 = Cudd_Regular(f0);
-        if ((int) f0->index == yindex) {
-        f01 = cuddT(f0); f00 = cuddE(f0);
-        } else {
-        f01 = f00 = f0;
-        }
-        if (comple) {
-        f01 = Cudd_Not(f01);
-        f00 = Cudd_Not(f00);
-        }
-        /* Decrease ref count of f1. */
-        cuddSatDec(f1->ref);
-        /* Create the new T child. */
-        if (f11 == f01) {
-        newf1 = f11;
-        cuddSatInc(newf1->ref);
-        } else {
-        /* Check xlist for triple (xindex,f11,f01). */
-        posn = ddHash(f11, f01, xshift);
-        /* For each element newf1 in collision list xlist[posn]. */
-        previousP = &(xlist[posn]);
-        newf1 = *previousP;
-        while (f11 < cuddT(newf1)) {
-            previousP = &(newf1->next);
-            newf1 = *previousP;
-        }
-        while (f11 == cuddT(newf1) && f01 < cuddE(newf1)) {
-            previousP = &(newf1->next);
-            newf1 = *previousP;
-        }
-        if (cuddT(newf1) == f11 && cuddE(newf1) == f01) {
-            cuddSatInc(newf1->ref);
-        } else { /* no match */
-            newf1 = cuddDynamicAllocNode(table);
-            if (newf1 == NULL)
-            goto cuddSwapOutOfMem;
-            newf1->index = xindex; newf1->ref = 1;
-            cuddT(newf1) = f11;
-            cuddE(newf1) = f01;
-            /* Insert newf1 in the collision list xlist[posn];
-            ** increase the ref counts of f11 and f01.
-            */
-            newxkeys++;
-            newf1->next = *previousP;
-            *previousP = newf1;
-            cuddSatInc(f11->ref);
-            tmp = Cudd_Regular(f01);
-            cuddSatInc(tmp->ref);
-        }
-        }
-        cuddT(f) = newf1;
-#ifdef DD_DEBUG
-        assert(!(Cudd_IsComplement(newf1)));
-#endif
-
-        /* Do the same for f0, keeping complement dots into account. */
-        /* Decrease ref count of f0. */
-        tmp = Cudd_Regular(f0);
-        cuddSatDec(tmp->ref);
-        /* Create the new E child. */
-        if (f10 == f00) {
-        newf0 = f00;
-        tmp = Cudd_Regular(newf0);
-        cuddSatInc(tmp->ref); 
-        } else {
-        /* make sure f10 is regular */
-        newcomplement = Cudd_IsComplement(f10);
-        if (newcomplement) {
-            f10 = Cudd_Not(f10);
-            f00 = Cudd_Not(f00);
-        }
-        /* Check xlist for triple (xindex,f10,f00). */
-        posn = ddHash(f10, f00, xshift);
-        /* For each element newf0 in collision list xlist[posn]. */
-        previousP = &(xlist[posn]);
-        newf0 = *previousP;
-        while (f10 < cuddT(newf0)) {
-            previousP = &(newf0->next);
-            newf0 = *previousP;
-        }
-        while (f10 == cuddT(newf0) && f00 < cuddE(newf0)) {
-            previousP = &(newf0->next);
-            newf0 = *previousP;
-        }
-        if (cuddT(newf0) == f10 && cuddE(newf0) == f00) {
-            cuddSatInc(newf0->ref); 
-        } else { /* no match */
-            newf0 = cuddDynamicAllocNode(table);
-            if (newf0 == NULL)
-            goto cuddSwapOutOfMem;
-            newf0->index = xindex; newf0->ref = 1;
-            cuddT(newf0) = f10;
-            cuddE(newf0) = f00;
-            /* Insert newf0 in the collision list xlist[posn];
-            ** increase the ref counts of f10 and f00.
-            */
-            newxkeys++;
-            newf0->next = *previousP;
-            *previousP = newf0;
-            cuddSatInc(f10->ref);
-            tmp = Cudd_Regular(f00);
-            cuddSatInc(tmp->ref);
-        }
-        if (newcomplement) {
-            newf0 = Cudd_Not(newf0);
-        }
-        }
-        cuddE(f) = newf0;
-
-        /* Insert the modified f in ylist.
-        ** The modified f does not already exists in ylist.
-        ** (Because of the uniqueness of the cofactors.)
-        */
-        posn = ddHash(newf1, newf0, yshift);
-        newykeys++;
-        previousP = &(ylist[posn]);
-        tmp = *previousP;
-        while (newf1 < cuddT(tmp)) {
-        previousP = &(tmp->next);
-        tmp = *previousP;
-        }
-        while (newf1 == cuddT(tmp) && newf0 < cuddE(tmp)) {
-        previousP = &(tmp->next);
-        tmp = *previousP;
-        }
-        f->next = *previousP;
-        *previousP = f;
-        f = next;
-    } /* while f != NULL */
-
-    /* GC the y layer. */
-
-    /* For each node f in ylist. */
-    for (i = 0; i < yslots; i++) {
-        previousP = &(ylist[i]);
-        f = *previousP;
-        while (f != sentinel) {
-        next = f->next;
-        if (f->ref == 0) {
-            tmp = cuddT(f);
-            cuddSatDec(tmp->ref);
-            tmp = Cudd_Regular(cuddE(f));
-            cuddSatDec(tmp->ref);
-            cuddDeallocNode(table,f);
-            newykeys--;
-        } else {
-            *previousP = f;
-            previousP = &(f->next);
-        }
-        f = next;
-        } /* while f */
-        *previousP = sentinel;
-    } /* for i */
-
-#if DD_DEBUG
-#if 0
-    (void) fprintf(table->out,"Swapping %d and %d\n",x,y);
-#endif
-    count = 0;
-    idcheck = 0;
-    for (i = 0; i < yslots; i++) {
-        f = ylist[i];
-        while (f != sentinel) {
-        count++;
-        if (f->index != (DdHalfWord) yindex)
-            idcheck++;
-        f = f->next;
-        }
-    }
-    if (count != newykeys) {
-        (void) fprintf(table->out,
-               "Error in finding newykeys\toldykeys = %d\tnewykeys = %d\tactual = %d\n",
-               oldykeys,newykeys,count);
-    }
-    if (idcheck != 0)
-        (void) fprintf(table->out,
-               "Error in id's of ylist\twrong id's = %d\n",
-               idcheck);
-    count = 0;
-    idcheck = 0;
-    for (i = 0; i < xslots; i++) {
-        f = xlist[i];
-        while (f != sentinel) {
-        count++;
-        if (f->index != (DdHalfWord) xindex)
-            idcheck++;
-        f = f->next;
-        }
-    }
-    if (count != newxkeys) {
-        (void) fprintf(table->out,
-               "Error in finding newxkeys\toldxkeys = %d \tnewxkeys = %d \tactual = %d\n",
-               oldxkeys,newxkeys,count);
-    }
-    if (idcheck != 0)
-        (void) fprintf(table->out,
-               "Error in id's of xlist\twrong id's = %d\n",
-               idcheck);
-#endif
-
-    isolated += (table->vars[xindex]->ref == 1) +
-            (table->vars[yindex]->ref == 1);
-    table->isolated += isolated;
-    }
-
-    /* Set the appropriate fields in table. */
-    table->subtables[x].nodelist = ylist;
-    table->subtables[x].slots = yslots;
-    table->subtables[x].shift = yshift;
-    table->subtables[x].keys = newykeys;
-    table->subtables[x].maxKeys = yslots * DD_MAX_SUBTABLE_DENSITY;
-    i = table->subtables[x].bindVar;
-    table->subtables[x].bindVar = table->subtables[y].bindVar;
-    table->subtables[y].bindVar = i;
-    /* Adjust filds for lazy sifting. */
-    varType = table->subtables[x].varType;
-    table->subtables[x].varType = table->subtables[y].varType;
-    table->subtables[y].varType = varType;
-    i = table->subtables[x].pairIndex;
-    table->subtables[x].pairIndex = table->subtables[y].pairIndex;
-    table->subtables[y].pairIndex = i;
-    i = table->subtables[x].varHandled;
-    table->subtables[x].varHandled = table->subtables[y].varHandled;
-    table->subtables[y].varHandled = i;
-    groupType = table->subtables[x].varToBeGrouped;
-    table->subtables[x].varToBeGrouped = table->subtables[y].varToBeGrouped;
-    table->subtables[y].varToBeGrouped = groupType;
-
-    table->subtables[y].nodelist = xlist;
-    table->subtables[y].slots = xslots;
-    table->subtables[y].shift = xshift;
-    table->subtables[y].keys = newxkeys;
-    table->subtables[y].maxKeys = xslots * DD_MAX_SUBTABLE_DENSITY;
-
-    table->perm[xindex] = y; table->perm[yindex] = x;
-    table->invperm[x] = yindex; table->invperm[y] = xindex;
-
-    table->keys += newxkeys + newykeys - oldxkeys - oldykeys;
-
-    return(table->keys - table->isolated);
-
-cuddSwapOutOfMem:
-    (void) fprintf(table->err,"Error: cuddSwapInPlace out of memory\n");
-
-    return (0);
-
-} /* end of cuddSwapInPlace */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders BDD variables according to the order of the ZDD
-  variables.]
-
-  Description [Reorders BDD variables according to the order of the
-  ZDD variables. This function can be called at the end of ZDD
-  reordering to insure that the order of the BDD variables is
-  consistent with the order of the ZDD variables. The number of ZDD
-  variables must be a multiple of the number of BDD variables. Let
-  <code>M</code> be the ratio of the two numbers. cuddBddAlignToZdd
-  then considers the ZDD variables from <code>M*i</code> to
-  <code>(M+1)*i-1</code> as corresponding to BDD variable
-  <code>i</code>.  This function should be normally called from
-  Cudd_zddReduceHeap, which clears the cache.  Returns 1 in case of
-  success; 0 otherwise.]
-
-  SideEffects [Changes the BDD variable order for all diagrams and performs
-  garbage collection of the BDD unique table.]
-
-  SeeAlso [Cudd_ShuffleHeap Cudd_zddReduceHeap]
-
-******************************************************************************/
-int
-cuddBddAlignToZdd(
-  DdManager * table /* DD manager */)
-{
-    int *invperm;        /* permutation array */
-    int M;            /* ratio of ZDD variables to BDD variables */
-    int i;            /* loop index */
-    int result;            /* return value */
-
-    /* We assume that a ratio of 0 is OK. */
-    if (table->size == 0)
-    return(1);
-
-    M = table->sizeZ / table->size;
-    /* Check whether the number of ZDD variables is a multiple of the
-    ** number of BDD variables.
-    */
-    if (M * table->size != table->sizeZ)
-    return(0);
-    /* Create and initialize the inverse permutation array. */
-    invperm = ALLOC(int,table->size);
-    if (invperm == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    for (i = 0; i < table->sizeZ; i += M) {
-    int indexZ = table->invpermZ[i];
-    int index  = indexZ / M;
-    invperm[i / M] = index;
-    }
-    /* Eliminate dead nodes. Do not scan the cache again, because we
-    ** assume that Cudd_zddReduceHeap has already cleared it.
-    */
-    cuddGarbageCollect(table,0);
-
-    /* Initialize number of isolated projection functions. */
-    table->isolated = 0;
-    for (i = 0; i < table->size; i++) {
-    if (table->vars[i]->ref == 1) table->isolated++;
-    }
-
-    /* Initialize the interaction matrix. */
-    result = cuddInitInteract(table);
-    if (result == 0) return(0);
-
-    result = ddShuffle(table, invperm);
-    FREE(invperm);
-    /* Free interaction matrix. */
-    FREE(table->interact);
-    /* Fix the BDD variable group tree. */
-    bddFixTree(table,table->tree);
-    return(result);
-
-} /* end of cuddBddAlignToZdd */
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Comparison function used by qsort.]
-
-  Description [Comparison function used by qsort to order the
-  variables according to the number of keys in the subtables.
-  Returns the difference in number of keys between the two
-  variables being compared.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddUniqueCompare(
-  int * ptrX,
-  int * ptrY)
-{
-#if 0
-    if (entry[*ptrY] == entry[*ptrX]) {
-    return((*ptrX) - (*ptrY));
-    }
-#endif
-    return(entry[*ptrY] - entry[*ptrX]);
-
-} /* end of ddUniqueCompare */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Swaps any two variables.]
-
-  Description [Swaps any two variables. Returns the set of moves.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static Move *
-ddSwapAny(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    Move    *move, *moves;
-    int        xRef,yRef;
-    int        xNext,yNext;
-    int        size;
-    int        limitSize;
-    int        tmp;
-
-    if (x >y) {
-    tmp = x; x = y; y = tmp;
-    }
-
-    xRef = x; yRef = y;
-
-    xNext = cuddNextHigh(table,x);
-    yNext = cuddNextLow(table,y);
-    moves = NULL;
-    limitSize = table->keys - table->isolated;
-
-    for (;;) {
-    if ( xNext == yNext) {
-        size = cuddSwapInPlace(table,x,xNext);
-        if (size == 0) goto ddSwapAnyOutOfMem;
-        move = (Move *) cuddDynamicAllocNode(table);            
-        if (move == NULL) goto ddSwapAnyOutOfMem;
-        move->x = x;
-        move->y = xNext;
-        move->size = size; 
-        move->next = moves;
-        moves = move;
-
-        size = cuddSwapInPlace(table,yNext,y);
-        if (size == 0) goto ddSwapAnyOutOfMem;
-        move = (Move *) cuddDynamicAllocNode(table);
-        if (move == NULL) goto ddSwapAnyOutOfMem;
-        move->x = yNext;
-        move->y = y;
-        move->size = size; 
-        move->next = moves;
-        moves = move;
-
-        size = cuddSwapInPlace(table,x,xNext);
-        if (size == 0) goto ddSwapAnyOutOfMem;
-        move = (Move *) cuddDynamicAllocNode(table);
-        if (move == NULL) goto ddSwapAnyOutOfMem;
-        move->x = x;
-        move->y = xNext;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-
-        tmp = x; x = y; y = tmp;
-
-    } else if (x == yNext) {
-        
-        size = cuddSwapInPlace(table,x,xNext);
-        if (size == 0) goto ddSwapAnyOutOfMem;
-        move = (Move *) cuddDynamicAllocNode(table);
-        if (move == NULL) goto ddSwapAnyOutOfMem;
-        move->x = x;
-        move->y = xNext;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-
-        tmp = x; x = y; y = tmp;
-
-    } else {
-        size = cuddSwapInPlace(table,x,xNext);
-        if (size == 0) goto ddSwapAnyOutOfMem;
-        move = (Move *) cuddDynamicAllocNode(table);
-        if (move == NULL) goto ddSwapAnyOutOfMem;
-        move->x = x;
-        move->y = xNext;
-        move->size = size; 
-        move->next = moves;
-        moves = move;
-
-        size = cuddSwapInPlace(table,yNext,y);
-        if (size == 0) goto ddSwapAnyOutOfMem;
-        move = (Move *) cuddDynamicAllocNode(table);
-        if (move == NULL) goto ddSwapAnyOutOfMem;
-        move->x = yNext;
-        move->y = y;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-
-        x = xNext;
-        y = yNext;
-    }
-
-    xNext = cuddNextHigh(table,x);
-    yNext = cuddNextLow(table,y);
-    if (xNext > yRef) break;
-
-    if ((double) size > table->maxGrowth * (double) limitSize) break;
-    if (size < limitSize) limitSize = size;
-    }
-    if (yNext>=xRef) {
-    size = cuddSwapInPlace(table,yNext,y);
-    if (size == 0) goto ddSwapAnyOutOfMem;
-    move = (Move *) cuddDynamicAllocNode(table);
-    if (move == NULL) goto ddSwapAnyOutOfMem;
-    move->x = yNext;
-    move->y = y;
-    move->size = size; 
-    move->next = moves;
-    moves = move;
-    }
-
-    return(moves);
-    
-ddSwapAnyOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *) moves);
-    moves = move;
-    }
-    return(NULL);
-
-} /* end of ddSwapAny */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Given xLow <= x <= xHigh moves x up and down between the
-  boundaries.]
-
-  Description [Given xLow <= x <= xHigh moves x up and down between the
-  boundaries. Finds the best position and does the required changes.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddSiftingAux(
-  DdManager * table,
-  int  x,
-  int  xLow,
-  int  xHigh)
-{
-
-    Move    *move;
-    Move    *moveUp;        /* list of up moves */
-    Move    *moveDown;        /* list of down moves */
-    int        initialSize;
-    int        result;
-
-    initialSize = table->keys - table->isolated;
-
-    moveDown = NULL;
-    moveUp = NULL;
-
-    if (x == xLow) {
-    moveDown = ddSiftingDown(table,x,xHigh);
-    /* At this point x --> xHigh unless bounding occurred. */
-    if (moveDown == (Move *) CUDD_OUT_OF_MEM) goto ddSiftingAuxOutOfMem;
-    /* Move backward and stop at best position. */    
-    result = ddSiftingBackward(table,initialSize,moveDown);
-    if (!result) goto ddSiftingAuxOutOfMem;
-
-    } else if (x == xHigh) {
-    moveUp = ddSiftingUp(table,x,xLow);
-    /* At this point x --> xLow unless bounding occurred. */
-    if (moveUp == (Move *) CUDD_OUT_OF_MEM) goto ddSiftingAuxOutOfMem;
-    /* Move backward and stop at best position. */
-    result = ddSiftingBackward(table,initialSize,moveUp);
-    if (!result) goto ddSiftingAuxOutOfMem;
-
-    } else if ((x - xLow) > (xHigh - x)) { /* must go down first: shorter */
-    moveDown = ddSiftingDown(table,x,xHigh);
-    /* At this point x --> xHigh unless bounding occurred. */
-    if (moveDown == (Move *) CUDD_OUT_OF_MEM) goto ddSiftingAuxOutOfMem;
-    if (moveDown != NULL) {
-        x = moveDown->y;
-    }
-    moveUp = ddSiftingUp(table,x,xLow);
-    if (moveUp == (Move *) CUDD_OUT_OF_MEM) goto ddSiftingAuxOutOfMem;
-    /* Move backward and stop at best position */    
-    result = ddSiftingBackward(table,initialSize,moveUp);
-    if (!result) goto ddSiftingAuxOutOfMem;
-
-    } else { /* must go up first: shorter */
-    moveUp = ddSiftingUp(table,x,xLow);
-    /* At this point x --> xLow unless bounding occurred. */
-    if (moveUp == (Move *) CUDD_OUT_OF_MEM) goto ddSiftingAuxOutOfMem;
-    if (moveUp != NULL) {
-        x = moveUp->x;
-    }
-    moveDown = ddSiftingDown(table,x,xHigh);
-    if (moveDown == (Move *) CUDD_OUT_OF_MEM) goto ddSiftingAuxOutOfMem;
-    /* Move backward and stop at best position. */    
-    result = ddSiftingBackward(table,initialSize,moveDown);
-    if (!result) goto ddSiftingAuxOutOfMem;
-    }
-
-    while (moveDown != NULL) {
-    move = moveDown->next;
-    cuddDeallocNode(table, (DdNode *) moveDown);
-    moveDown = move;
-    }
-    while (moveUp != NULL) {
-    move = moveUp->next;
-    cuddDeallocNode(table, (DdNode *) moveUp);
-    moveUp = move;
-    }
-
-    return(1);
-
-ddSiftingAuxOutOfMem:
-    if (moveDown != (Move *) CUDD_OUT_OF_MEM) {
-    while (moveDown != NULL) {
-        move = moveDown->next;
-        cuddDeallocNode(table, (DdNode *) moveDown);
-        moveDown = move;
-    }
-    }
-    if (moveUp != (Move *) CUDD_OUT_OF_MEM) {
-    while (moveUp != NULL) {
-        move = moveUp->next;
-        cuddDeallocNode(table, (DdNode *) moveUp);
-        moveUp = move;
-    }
-    }
-
-    return(0);
-
-} /* end of ddSiftingAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sifts a variable up.]
-
-  Description [Sifts a variable up. Moves y up until either it reaches
-  the bound (xLow) or the size of the DD heap increases too much.
-  Returns the set of moves in case of success; NULL if memory is full.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static Move *
-ddSiftingUp(
-  DdManager * table,
-  int  y,
-  int  xLow)
-{
-    Move    *moves;
-    Move    *move;
-    int        x;
-    int        size;
-    int        limitSize;
-    int        xindex, yindex;
-    int        isolated;
-    int        L;    /* lower bound on DD size */
-#ifdef DD_DEBUG
-    int checkL;
-    int z;
-    int zindex;
-#endif
-
-    moves = NULL;
-    yindex = table->invperm[y];
-
-    /* Initialize the lower bound.
-    ** The part of the DD below y will not change.
-    ** The part of the DD above y that does not interact with y will not
-    ** change. The rest may vanish in the best case, except for
-    ** the nodes at level xLow, which will not vanish, regardless.
-    */
-    limitSize = L = table->keys - table->isolated;
-    for (x = xLow + 1; x < y; x++) {
-    xindex = table->invperm[x];
-    if (cuddTestInteract(table,xindex,yindex)) {
-        isolated = table->vars[xindex]->ref == 1;
-        L -= table->subtables[x].keys - isolated;
-    }
-    }
-    isolated = table->vars[yindex]->ref == 1;
-    L -= table->subtables[y].keys - isolated;
-
-    x = cuddNextLow(table,y);
-    while (x >= xLow && L <= limitSize) {
-    xindex = table->invperm[x];
-#ifdef DD_DEBUG
-    checkL = table->keys - table->isolated;
-    for (z = xLow + 1; z < y; z++) {
-        zindex = table->invperm[z];
-        if (cuddTestInteract(table,zindex,yindex)) {
-        isolated = table->vars[zindex]->ref == 1;
-        checkL -= table->subtables[z].keys - isolated;
-        }
-    }
-    isolated = table->vars[yindex]->ref == 1;
-    checkL -= table->subtables[y].keys - isolated;
-    assert(L == checkL);
-#endif
-    size = cuddSwapInPlace(table,x,y);
-    if (size == 0) goto ddSiftingUpOutOfMem;
-    /* Update the lower bound. */
-    if (cuddTestInteract(table,xindex,yindex)) {
-        isolated = table->vars[xindex]->ref == 1;
-        L += table->subtables[y].keys - isolated;
-    }
-    move = (Move *) cuddDynamicAllocNode(table);
-    if (move == NULL) goto ddSiftingUpOutOfMem;
-    move->x = x;
-    move->y = y;
-    move->size = size;
-    move->next = moves;
-    moves = move;
-    if ((double) size > (double) limitSize * table->maxGrowth) break;
-    if (size < limitSize) limitSize = size;
-    y = x;
-    x = cuddNextLow(table,y);
-    }
-    return(moves);
-
-ddSiftingUpOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *) moves);
-    moves = move;
-    }
-    return((Move *) CUDD_OUT_OF_MEM);
-
-} /* end of ddSiftingUp */
-    
-
-/**Function********************************************************************
-
-  Synopsis    [Sifts a variable down.]
-
-  Description [Sifts a variable down. Moves x down until either it
-  reaches the bound (xHigh) or the size of the DD heap increases too
-  much. Returns the set of moves in case of success; NULL if memory is
-  full.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static Move *
-ddSiftingDown(
-  DdManager * table,
-  int  x,
-  int  xHigh)
-{
-    Move    *moves;
-    Move    *move;
-    int        y;
-    int        size;
-    int        R;    /* upper bound on node decrease */
-    int        limitSize;
-    int        xindex, yindex;
-    int        isolated;
-#ifdef DD_DEBUG
-    int        checkR;
-    int        z;
-    int        zindex;
-#endif
-
-    moves = NULL;
-    /* Initialize R */
-    xindex = table->invperm[x];
-    limitSize = size = table->keys - table->isolated;
-    R = 0;
-    for (y = xHigh; y > x; y--) {
-    yindex = table->invperm[y];
-    if (cuddTestInteract(table,xindex,yindex)) {
-        isolated = table->vars[yindex]->ref == 1;
-        R += table->subtables[y].keys - isolated;
-    }
-    }
-
-    y = cuddNextHigh(table,x);
-    while (y <= xHigh && size - R < limitSize) {
-#ifdef DD_DEBUG
-    checkR = 0;
-    for (z = xHigh; z > x; z--) {
-        zindex = table->invperm[z];
-        if (cuddTestInteract(table,xindex,zindex)) {
-        isolated = table->vars[zindex]->ref == 1;
-        checkR += table->subtables[z].keys - isolated;
-        }
-    }
-    assert(R == checkR);
-#endif
-    /* Update upper bound on node decrease. */
-    yindex = table->invperm[y];
-    if (cuddTestInteract(table,xindex,yindex)) {
-        isolated = table->vars[yindex]->ref == 1;
-        R -= table->subtables[y].keys - isolated;
-    }
-    size = cuddSwapInPlace(table,x,y);
-    if (size == 0) goto ddSiftingDownOutOfMem; 
-    move = (Move *) cuddDynamicAllocNode(table);
-    if (move == NULL) goto ddSiftingDownOutOfMem;
-    move->x = x;
-    move->y = y;
-    move->size = size;
-    move->next = moves;
-    moves = move;
-    if ((double) size > (double) limitSize * table->maxGrowth) break;
-    if (size < limitSize) limitSize = size;
-    x = y;
-    y = cuddNextHigh(table,x);
-    }
-    return(moves);
-
-ddSiftingDownOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *) moves);
-    moves = move;
-    }
-    return((Move *) CUDD_OUT_OF_MEM);
-
-} /* end of ddSiftingDown */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Given a set of moves, returns the DD heap to the position
-  giving the minimum size.]
-
-  Description [Given a set of moves, returns the DD heap to the
-  position giving the minimum size. In case of ties, returns to the
-  closest position giving the minimum size. Returns 1 in case of
-  success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddSiftingBackward(
-  DdManager * table,
-  int  size,
-  Move * moves)
-{
-    Move *move;
-    int    res;
-
-    for (move = moves; move != NULL; move = move->next) {
-    if (move->size < size) {
-        size = move->size;
-    }
-    }
-
-    for (move = moves; move != NULL; move = move->next) {
-    if (move->size == size) return(1);
-    res = cuddSwapInPlace(table,(int)move->x,(int)move->y);
-    if (!res) return(0);    
-    }
-
-    return(1);
-
-} /* end of ddSiftingBackward */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prepares the DD heap for dynamic reordering.]
-
-  Description [Prepares the DD heap for dynamic reordering. Does
-  garbage collection, to guarantee that there are no dead nodes;
-  clears the cache, which is invalidated by dynamic reordering; initializes
-  the number of isolated projection functions; and initializes the
-  interaction matrix.  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddReorderPreprocess(
-  DdManager * table)
-{
-    int i;
-    int res;
-
-    /* Clear the cache. */
-    cuddCacheFlush(table);
-    cuddLocalCacheClearAll(table);
-
-    /* Eliminate dead nodes. Do not scan the cache again. */
-    cuddGarbageCollect(table,0);
-
-    /* Initialize number of isolated projection functions. */
-    table->isolated = 0;
-    for (i = 0; i < table->size; i++) {
-    if (table->vars[i]->ref == 1) table->isolated++;
-    }
-
-    /* Initialize the interaction matrix. */
-    res = cuddInitInteract(table);
-    if (res == 0) return(0);
-
-    return(1);
-
-} /* end of ddReorderPreprocess */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Cleans up at the end of reordering.]
-
-  Description []
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddReorderPostprocess(
-  DdManager * table)
-{
-
-#ifdef DD_VERBOSE
-    (void) fflush(table->out);
-#endif
-
-    /* Free interaction matrix. */
-    FREE(table->interact);
-
-    return(1);
-
-} /* end of ddReorderPostprocess */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders variables according to a given permutation.]
-
-  Description [Reorders variables according to a given permutation.
-  The i-th permutation array contains the index of the variable that
-  should be brought to the i-th level. ddShuffle assumes that no
-  dead nodes are present and that the interaction matrix is properly
-  initialized.  The reordering is achieved by a series of upward sifts.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso []
-
-******************************************************************************/
-static int
-ddShuffle(
-  DdManager * table,
-  int * permutation)
-{
-    int        index;
-    int        level;
-    int        position;
-    int        numvars;
-    int        result;
-#ifdef DD_STATS
-    long    localTime;
-    int        initialSize;
-    int        finalSize;
-    int        previousSize;
-#endif
-
-    ddTotalNumberSwapping = 0;
-#ifdef DD_STATS
-    localTime = util_cpu_time();
-    initialSize = table->keys - table->isolated;
-    (void) fprintf(table->out,"#:I_SHUFFLE %8d: initial size\n",
-           initialSize); 
-    ddTotalNISwaps = 0;
-#endif
-
-    numvars = table->size;
-
-    for (level = 0; level < numvars; level++) {
-    index = permutation[level];
-    position = table->perm[index];
-#ifdef DD_STATS
-    previousSize = table->keys - table->isolated;
-#endif
-    result = ddSiftUp(table,position,level);
-    if (!result) return(0);
-#ifdef DD_STATS
-    if (table->keys < (unsigned) previousSize + table->isolated) {
-        (void) fprintf(table->out,"-");
-    } else if (table->keys > (unsigned) previousSize + table->isolated) {
-        (void) fprintf(table->out,"+");    /* should never happen */
-    } else {
-        (void) fprintf(table->out,"=");
-    }
-    fflush(table->out);
-#endif
-    }
-
-#ifdef DD_STATS
-    (void) fprintf(table->out,"\n");
-    finalSize = table->keys - table->isolated;
-    (void) fprintf(table->out,"#:F_SHUFFLE %8d: final size\n",finalSize); 
-    (void) fprintf(table->out,"#:T_SHUFFLE %8g: total time (sec)\n",
-    ((double)(util_cpu_time() - localTime)/1000.0)); 
-    (void) fprintf(table->out,"#:N_SHUFFLE %8d: total swaps\n",
-           ddTotalNumberSwapping);
-    (void) fprintf(table->out,"#:M_SHUFFLE %8d: NI swaps\n",ddTotalNISwaps);
-#endif
-
-    return(1);
-
-} /* end of ddShuffle */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Moves one variable up.]
-
-  Description [Takes a variable from position x and sifts it up to
-  position xLow;  xLow should be less than or equal to x.
-  Returns 1 if successful; 0 otherwise]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-ddSiftUp(
-  DdManager * table,
-  int  x,
-  int  xLow)
-{
-    int        y;
-    int        size;
-
-    y = cuddNextLow(table,x);
-    while (y >= xLow) {
-    size = cuddSwapInPlace(table,y,x);
-    if (size == 0) {
-        return(0);
-    }
-    x = y;
-    y = cuddNextLow(table,x);
-    }
-    return(1);
-
-} /* end of ddSiftUp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Fixes the BDD variable group tree after a shuffle.]
-
-  Description [Fixes the BDD variable group tree after a
-  shuffle. Assumes that the order of the variables in a terminal node
-  has not been changed.]
-
-  SideEffects [Changes the BDD variable group tree.]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-bddFixTree(
-  DdManager * table,
-  MtrNode * treenode)
-{
-    if (treenode == NULL) return;
-    treenode->low = ((int) treenode->index < table->size) ?
-    table->perm[treenode->index] : treenode->index;
-    if (treenode->child != NULL) {
-    bddFixTree(table, treenode->child);
-    }
-    if (treenode->younger != NULL)
-    bddFixTree(table, treenode->younger);
-    if (treenode->parent != NULL && treenode->low < treenode->parent->low) {
-    treenode->parent->low = treenode->low;
-    treenode->parent->index = treenode->index;
-    }
-    return;
-
-} /* end of bddFixTree */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Updates the BDD variable group tree before a shuffle.]
-
-  Description [Updates the BDD variable group tree before a shuffle.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [Changes the BDD variable group tree.]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-ddUpdateMtrTree(
-  DdManager * table,
-  MtrNode * treenode,
-  int * perm,
-  int * invperm)
-{
-    int    i, size, index, level;
-    int    minLevel, maxLevel, minIndex;
-
-    if (treenode == NULL) return(1);
-
-    /* i : level */
-    for (i = treenode->low; i < treenode->low + treenode->size; i++) {
-    index = table->invperm[i];
-    level = perm[index];
-    if (level < minLevel) {
-        minLevel = level;
-        minIndex = index;
-    }
-    if (level > maxLevel)
-        maxLevel = level;
-    }
-    size = maxLevel - minLevel + 1;
-    if (size == treenode->size) {
-    treenode->low = minLevel;
-    treenode->index = minIndex;
-    } else
-    return(0);
-
-    if (treenode->child != NULL) {
-    if (!ddUpdateMtrTree(table, treenode->child, perm, invperm))
-        return(0);
-    }
-    if (treenode->younger != NULL) {
-    if (!ddUpdateMtrTree(table, treenode->younger, perm, invperm))
-        return(0);
-    }
-    return(1);
-}
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks the BDD variable group tree before a shuffle.]
-
-  Description [Checks the BDD variable group tree before a shuffle.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [Changes the BDD variable group tree.]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-ddCheckPermuation(
-  DdManager * table,
-  MtrNode * treenode,
-  int * perm,
-  int * invperm)
-{
-    int    i, size, index, level;
-    int    minLevel, maxLevel;
-
-    if (treenode == NULL) return(1);
-
-    minLevel = table->size;
-    maxLevel = 0;
-    /* i : level */
-    for (i = treenode->low; i < treenode->low + treenode->size; i++) {
-    index = table->invperm[i];
-    level = perm[index];
-    if (level < minLevel)
-        minLevel = level;
-    if (level > maxLevel)
-        maxLevel = level;
-    }
-    size = maxLevel - minLevel + 1;
-    if (size != treenode->size)
-    return(0);
-
-    if (treenode->child != NULL) {
-    if (!ddCheckPermuation(table, treenode->child, perm, invperm))
-        return(0);
-    }
-    if (treenode->younger != NULL) {
-    if (!ddCheckPermuation(table, treenode->younger, perm, invperm))
-        return(0);
-    }
-    return(1);
-}
diff --git a/src/bdd/cudd/cuddSat.c b/src/bdd/cudd/cuddSat.c
deleted file mode 100644
index 1755a1c1..00000000
--- a/src/bdd/cudd/cuddSat.c
+++ /dev/null
@@ -1,1305 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddSat.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions for the solution of satisfiability related
-  problems.]
-
-  Description [External procedures included in this file:
-        <ul>
-        <li> Cudd_Eval()
-        <li> Cudd_ShortestPath()
-        <li> Cudd_LargestCube()
-        <li> Cudd_ShortestLength()
-        <li> Cudd_Decreasing()
-        <li> Cudd_Increasing()
-        <li> Cudd_EquivDC()
-        <li> Cudd_bddLeqUnless()
-        <li> Cudd_EqualSupNorm()
-        <li> Cudd_bddMakePrime()
-        </ul>
-    Internal procedures included in this module:
-            <ul>
-        <li> cuddBddMakePrime()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> freePathPair()
-        <li> getShortest()
-        <li> getPath()
-        <li> getLargest()
-        <li> getCube()
-        </ul>]
-
-  Author      [Seh-Woong Jeong, Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#define    DD_BIGGY    1000000
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-typedef struct cuddPathPair {
-    int    pos;
-    int    neg;
-} cuddPathPair;
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddSat.c,v 1.1.1.1 2003/02/24 22:23:53 wjiang Exp $";
-#endif
-
-static    DdNode    *one, *zero;
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-#define WEIGHT(weight, col)    ((weight) == NULL ? 1 : weight[col])
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static enum st_retval freePathPair ARGS((char *key, char *value, char *arg));
-static cuddPathPair getShortest ARGS((DdNode *root, int *cost, int *support, st_table *visited));
-static DdNode * getPath ARGS((DdManager *manager, st_table *visited, DdNode *f, int *weight, int cost));
-static cuddPathPair getLargest ARGS((DdNode *root, st_table *visited));
-static DdNode * getCube ARGS((DdManager *manager, st_table *visited, DdNode *f, int cost));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the value of a DD for a given variable assignment.]
-
-  Description [Finds the value of a DD for a given variable
-  assignment. The variable assignment is passed in an array of int's,
-  that should specify a zero or a one for each variable in the support
-  of the function. Returns a pointer to a constant node. No new nodes
-  are produced.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddLeq Cudd_addEvalConst]
-
-******************************************************************************/
-DdNode *
-Cudd_Eval(
-  DdManager * dd,
-  DdNode * f,
-  int * inputs)
-{
-    int comple;
-    DdNode *ptr;
-
-    comple = Cudd_IsComplement(f);
-    ptr = Cudd_Regular(f);
-
-    while (!cuddIsConstant(ptr)) {
-    if (inputs[ptr->index] == 1) {
-        ptr = cuddT(ptr);
-    } else {
-        comple ^= Cudd_IsComplement(cuddE(ptr));
-        ptr = Cudd_Regular(cuddE(ptr));
-    }
-    }
-    return(Cudd_NotCond(ptr,comple));
-
-} /* end of Cudd_Eval */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds a shortest path in a DD.]
-
-  Description [Finds a shortest path in a DD. f is the DD we want to
-  get the shortest path for; weight\[i\] is the weight of the THEN arc
-  coming from the node whose index is i. If weight is NULL, then unit
-  weights are assumed for all THEN arcs. All ELSE arcs have 0 weight.
-  If non-NULL, both weight and support should point to arrays with at
-  least as many entries as there are variables in the manager.
-  Returns the shortest path as the BDD of a cube.]
-
-  SideEffects [support contains on return the true support of f.
-  If support is NULL on entry, then Cudd_ShortestPath does not compute
-  the true support info. length contains the length of the path.]
-
-  SeeAlso     [Cudd_ShortestLength Cudd_LargestCube]
-
-******************************************************************************/
-DdNode *
-Cudd_ShortestPath(
-  DdManager * manager,
-  DdNode * f,
-  int * weight,
-  int * support,
-  int * length)
-{
-    register     DdNode    *F;
-    st_table    *visited;
-    DdNode    *sol;
-    cuddPathPair *rootPair;
-    int        complement, cost;
-    int        i;
-
-    one = DD_ONE(manager);
-    zero = DD_ZERO(manager);
-
-    /* Initialize support. */
-    if (support) {
-    for (i = 0; i < manager->size; i++) {
-        support[i] = 0;
-    }
-    }
-
-    if (f == Cudd_Not(one) || f == zero) {
-    *length = DD_BIGGY;
-    return(Cudd_Not(one));
-    }
-    /* From this point on, a path exists. */
-
-    /* Initialize visited table. */
-    visited = st_init_table(st_ptrcmp, st_ptrhash);
-
-    /* Now get the length of the shortest path(s) from f to 1. */
-    (void) getShortest(f, weight, support, visited);
-
-    complement = Cudd_IsComplement(f);
-
-    F = Cudd_Regular(f);
-
-    st_lookup(visited, (char *)F, (char **)&rootPair);
-    
-    if (complement) {
-    cost = rootPair->neg;
-    } else {
-    cost = rootPair->pos;
-    }
-
-    /* Recover an actual shortest path. */
-    do {
-    manager->reordered = 0;
-    sol = getPath(manager,visited,f,weight,cost);
-    } while (manager->reordered == 1);
-
-    st_foreach(visited, freePathPair, NULL);
-    st_free_table(visited);
-
-    *length = cost;
-    return(sol);
-
-} /* end of Cudd_ShortestPath */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds a largest cube in a DD.]
-
-  Description [Finds a largest cube in a DD. f is the DD we want to
-  get the largest cube for. The problem is translated into the one of
-  finding a shortest path in f, when both THEN and ELSE arcs are assumed to
-  have unit length. This yields a largest cube in the disjoint cover
-  corresponding to the DD. Therefore, it is not necessarily the largest
-  implicant of f.  Returns the largest cube as a BDD.]
-
-  SideEffects [The number of literals of the cube is returned in length.]
-
-  SeeAlso     [Cudd_ShortestPath]
-
-******************************************************************************/
-DdNode *
-Cudd_LargestCube(
-  DdManager * manager,
-  DdNode * f,
-  int * length)
-{
-    register     DdNode    *F;
-    st_table    *visited;
-    DdNode    *sol;
-    cuddPathPair *rootPair;
-    int        complement, cost;
-
-    one = DD_ONE(manager);
-    zero = DD_ZERO(manager);
-
-    if (f == Cudd_Not(one) || f == zero) {
-    *length = DD_BIGGY;
-    return(Cudd_Not(one));
-    }
-    /* From this point on, a path exists. */
-
-    /* Initialize visited table. */
-    visited = st_init_table(st_ptrcmp, st_ptrhash);
-
-    /* Now get the length of the shortest path(s) from f to 1. */
-    (void) getLargest(f, visited);
-
-    complement = Cudd_IsComplement(f);
-
-    F = Cudd_Regular(f);
-
-    st_lookup(visited, (char *)F, (char **)&rootPair);
-    
-    if (complement) {
-    cost = rootPair->neg;
-    } else {
-    cost = rootPair->pos;
-    }
-
-    /* Recover an actual shortest path. */
-    do {
-    manager->reordered = 0;
-    sol = getCube(manager,visited,f,cost);
-    } while (manager->reordered == 1);
-
-    st_foreach(visited, freePathPair, NULL);
-    st_free_table(visited);
-
-    *length = cost;
-    return(sol);
-
-} /* end of Cudd_LargestCube */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Find the length of the shortest path(s) in a DD.]
-
-  Description [Find the length of the shortest path(s) in a DD. f is
-  the DD we want to get the shortest path for; weight\[i\] is the
-  weight of the THEN edge coming from the node whose index is i. All
-  ELSE edges have 0 weight. Returns the length of the shortest
-  path(s) if successful; CUDD_OUT_OF_MEM otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ShortestPath]
-
-******************************************************************************/
-int
-Cudd_ShortestLength(
-  DdManager * manager,
-  DdNode * f,
-  int * weight)
-{
-    register     DdNode    *F;
-    st_table    *visited;
-    cuddPathPair *my_pair;
-    int        complement, cost;
-
-    one = DD_ONE(manager);
-    zero = DD_ZERO(manager);
-
-    if (f == Cudd_Not(one) || f == zero) {
-    return(DD_BIGGY);
-    }
-
-    /* From this point on, a path exists. */
-    /* Initialize visited table and support. */
-    visited = st_init_table(st_ptrcmp, st_ptrhash);
-
-    /* Now get the length of the shortest path(s) from f to 1. */
-    (void) getShortest(f, weight, NULL, visited);
-
-    complement = Cudd_IsComplement(f);
-
-    F = Cudd_Regular(f);
-
-    st_lookup(visited, (char *)F, (char **)&my_pair);
-    
-    if (complement) {
-    cost = my_pair->neg;
-    } else {
-    cost = my_pair->pos;
-    }
-
-    st_foreach(visited, freePathPair, NULL);
-    st_free_table(visited);
-
-    return(cost);
-
-} /* end of Cudd_ShortestLength */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Determines whether a BDD is negative unate in a
-  variable.]
-
-  Description [Determines whether the function represented by BDD f is
-  negative unate (monotonic decreasing) in variable i. Returns the
-  constant one is f is unate and the (logical) constant zero if it is not.
-  This function does not generate any new nodes.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_Increasing]
-
-******************************************************************************/
-DdNode *
-Cudd_Decreasing(
-  DdManager * dd,
-  DdNode * f,
-  int  i)
-{
-    unsigned int topf, level;
-    DdNode *F, *fv, *fvn, *res;
-    DdNode *(*cacheOp)(DdManager *, DdNode *, DdNode *);
-
-    statLine(dd);
-#ifdef DD_DEBUG
-    assert(0 <= i && i < dd->size);
-#endif
-
-    F = Cudd_Regular(f);
-    topf = cuddI(dd,F->index);
-
-    /* Check terminal case. If topf > i, f does not depend on var.
-    ** Therefore, f is unate in i.
-    */
-    level = (unsigned) dd->perm[i];
-    if (topf > level) {
-    return(DD_ONE(dd));
-    }
-
-    /* From now on, f is not constant. */
-
-    /* Check cache. */
-    cacheOp = (DdNode *(*)(DdManager *, DdNode *, DdNode *)) Cudd_Decreasing;
-    res = cuddCacheLookup2(dd,cacheOp,f,dd->vars[i]);
-    if (res != NULL) {
-    return(res);
-    }
-
-    /* Compute cofactors. */
-    fv = cuddT(F); fvn = cuddE(F);
-    if (F != f) {
-    fv = Cudd_Not(fv);
-    fvn = Cudd_Not(fvn);
-    }
-
-    if (topf == (unsigned) level) {
-    /* Special case: if fv is regular, fv(1,...,1) = 1;
-    ** If in addition fvn is complemented, fvn(1,...,1) = 0.
-    ** But then f(1,1,...,1) > f(0,1,...,1). Hence f is not
-    ** monotonic decreasing in i.
-    */
-    if (!Cudd_IsComplement(fv) && Cudd_IsComplement(fvn)) {
-        return(Cudd_Not(DD_ONE(dd)));
-    }
-    res = Cudd_bddLeq(dd,fv,fvn) ? DD_ONE(dd) : Cudd_Not(DD_ONE(dd));
-    } else {
-    res = Cudd_Decreasing(dd,fv,i);
-    if (res == DD_ONE(dd)) {
-        res = Cudd_Decreasing(dd,fvn,i);
-    }
-    }
-
-    cuddCacheInsert2(dd,cacheOp,f,dd->vars[i],res);
-    return(res);
-
-} /* end of Cudd_Decreasing */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Determines whether a BDD is positive unate in a
-  variable.]
-
-  Description [Determines whether the function represented by BDD f is
-  positive unate (monotonic decreasing) in variable i. It is based on
-  Cudd_Decreasing and the fact that f is monotonic increasing in i if
-  and only if its complement is monotonic decreasing in i.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_Decreasing]
-
-******************************************************************************/
-DdNode *
-Cudd_Increasing(
-  DdManager * dd,
-  DdNode * f,
-  int  i)
-{
-    return(Cudd_Decreasing(dd,Cudd_Not(f),i));
-
-} /* end of Cudd_Increasing */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Tells whether F and G are identical wherever D is 0.]
-
-  Description [Tells whether F and G are identical wherever D is 0.  F
-  and G are either two ADDs or two BDDs.  D is either a 0-1 ADD or a
-  BDD.  The function returns 1 if F and G are equivalent, and 0
-  otherwise.  No new nodes are created.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddLeqUnless]
-
-******************************************************************************/
-int
-Cudd_EquivDC(
-  DdManager * dd,
-  DdNode * F,
-  DdNode * G,
-  DdNode * D)
-{
-    DdNode *tmp, *One, *Gr, *Dr;
-    DdNode *Fv, *Fvn, *Gv, *Gvn, *Dv, *Dvn;
-    int res;
-    unsigned int flevel, glevel, dlevel, top;
-
-    One = DD_ONE(dd);
-
-    statLine(dd);
-    /* Check terminal cases. */
-    if (D == One || F == G) return(1);
-    if (D == Cudd_Not(One) || D == DD_ZERO(dd) || F == Cudd_Not(G)) return(0);
-
-    /* From now on, D is non-constant. */
-
-    /* Normalize call to increase cache efficiency. */
-    if (F > G) {
-    tmp = F;
-    F = G;
-    G = tmp;
-    }
-    if (Cudd_IsComplement(F)) {
-    F = Cudd_Not(F);
-    G = Cudd_Not(G);
-    }
-
-    /* From now on, F is regular. */
-
-    /* Check cache. */
-    tmp = cuddCacheLookup(dd,DD_EQUIV_DC_TAG,F,G,D);
-    if (tmp != NULL) return(tmp == One);
-
-    /* Find splitting variable. */
-    flevel = cuddI(dd,F->index);
-    Gr = Cudd_Regular(G);
-    glevel = cuddI(dd,Gr->index);
-    top = ddMin(flevel,glevel);
-    Dr = Cudd_Regular(D);
-    dlevel = dd->perm[Dr->index];
-    top = ddMin(top,dlevel);
-
-    /* Compute cofactors. */
-    if (top == flevel) {
-    Fv = cuddT(F);
-    Fvn = cuddE(F);
-    } else {
-    Fv = Fvn = F;
-    }
-    if (top == glevel) {
-    Gv = cuddT(Gr);
-    Gvn = cuddE(Gr);
-    if (G != Gr) {
-        Gv = Cudd_Not(Gv);
-        Gvn = Cudd_Not(Gvn);
-    }
-    } else {
-    Gv = Gvn = G;
-    }
-    if (top == dlevel) {
-    Dv = cuddT(Dr);
-    Dvn = cuddE(Dr);
-    if (D != Dr) {
-        Dv = Cudd_Not(Dv);
-        Dvn = Cudd_Not(Dvn);
-    }
-    } else {
-    Dv = Dvn = D;
-    }
-
-    /* Solve recursively. */
-    res = Cudd_EquivDC(dd,Fv,Gv,Dv);
-    if (res != 0) {
-    res = Cudd_EquivDC(dd,Fvn,Gvn,Dvn);
-    }
-    cuddCacheInsert(dd,DD_EQUIV_DC_TAG,F,G,D,(res) ? One : Cudd_Not(One));
-
-    return(res);
-
-} /* end of Cudd_EquivDC */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Tells whether f is less than of equal to G unless D is 1.]
-
-  Description [Tells whether f is less than of equal to G unless D is
-  1.  f, g, and D are BDDs.  The function returns 1 if f is less than
-  of equal to G, and 0 otherwise.  No new nodes are created.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_EquivDC Cudd_bddLeq Cudd_bddIteConstant]
-
-******************************************************************************/
-int
-Cudd_bddLeqUnless(
-  DdManager *dd,
-  DdNode *f,
-  DdNode *g,
-  DdNode *D)
-{
-    DdNode *tmp, *One, *F, *G;
-    DdNode *Ft, *Fe, *Gt, *Ge, *Dt, *De;
-    int res;
-    unsigned int flevel, glevel, dlevel, top;
-
-    statLine(dd);
-
-    One = DD_ONE(dd);
-
-    /* Check terminal cases. */
-    if (f == g || g == One || f == Cudd_Not(One) || D == One ||
-    D == f || D == Cudd_Not(g)) return(1);
-    /* Check for two-operand cases. */
-    if (D == Cudd_Not(One) || D == g || D == Cudd_Not(f))
-    return(Cudd_bddLeq(dd,f,g));
-    if (g == Cudd_Not(One) || g == Cudd_Not(f)) return(Cudd_bddLeq(dd,f,D));
-    if (f == One) return(Cudd_bddLeq(dd,Cudd_Not(g),D));
-
-    /* From now on, f, g, and D are non-constant, distinct, and
-    ** non-complementary. */
-
-    /* Normalize call to increase cache efficiency.  We rely on the
-    ** fact that f <= g unless D is equivalent to not(g) <= not(f)
-    ** unless D and to f <= D unless g.  We make sure that D is
-    ** regular, and that at most one of f and g is complemented.  We also
-    ** ensure that when two operands can be swapped, the one with the
-    ** lowest address comes first. */
-
-    if (Cudd_IsComplement(D)) {
-    if (Cudd_IsComplement(g)) {
-        /* Special case: if f is regular and g is complemented,
-        ** f(1,...,1) = 1 > 0 = g(1,...,1).  If D(1,...,1) = 0, return 0.
-        */
-        if (!Cudd_IsComplement(f)) return(0);
-        /* !g <= D unless !f  or  !D <= g unless !f */
-        tmp = D;
-        D = Cudd_Not(f);
-        if (g < tmp) {
-        f = Cudd_Not(g);
-        g = tmp;
-        } else {
-        f = Cudd_Not(tmp);
-        }
-    } else {
-        if (Cudd_IsComplement(f)) {
-        /* !D <= !f unless g  or  !D <= g unless !f */
-        tmp = f;
-        f = Cudd_Not(D);
-        if (tmp < g) {
-            D = g;
-            g = Cudd_Not(tmp);
-        } else {
-            D = Cudd_Not(tmp);
-        }
-        } else {
-        /* f <= D unless g  or  !D <= !f unless g */
-        tmp = D;
-        D = g;
-        if (tmp < f) {
-            g = Cudd_Not(f);
-            f = Cudd_Not(tmp);
-        } else {
-            g = tmp;
-        }
-        }
-    }
-    } else {
-    if (Cudd_IsComplement(g)) {
-        if (Cudd_IsComplement(f)) {
-        /* !g <= !f unless D  or  !g <= D unless !f */
-        tmp = f;
-        f = Cudd_Not(g);
-        if (D < tmp) {
-            g = D;
-            D = Cudd_Not(tmp);
-        } else {
-            g = Cudd_Not(tmp);
-        }
-        } else {
-        /* f <= g unless D  or  !g <= !f unless D */
-        if (g < f) {
-            tmp = g;
-            g = Cudd_Not(f);
-            f = Cudd_Not(tmp);
-        }
-        }
-    } else {
-        /* f <= g unless D  or  f <= D unless g */
-        if (D < g) {
-        tmp = D;
-        D = g;
-        g = tmp;
-        }
-    }
-    }
-
-    /* From now on, D is regular. */
-
-    /* Check cache. */
-    tmp = cuddCacheLookup(dd,DD_BDD_LEQ_UNLESS_TAG,f,g,D);
-    if (tmp != NULL) return(tmp == One);
-
-    /* Find splitting variable. */
-    F = Cudd_Regular(f);
-    flevel = dd->perm[F->index];
-    G = Cudd_Regular(g);
-    glevel = dd->perm[G->index];
-    top = ddMin(flevel,glevel);
-    dlevel = dd->perm[D->index];
-    top = ddMin(top,dlevel);
-
-    /* Compute cofactors. */
-    if (top == flevel) {
-    Ft = cuddT(F);
-    Fe = cuddE(F);
-    if (F != f) {
-        Ft = Cudd_Not(Ft);
-        Fe = Cudd_Not(Fe);
-    }
-    } else {
-    Ft = Fe = f;
-    }
-    if (top == glevel) {
-    Gt = cuddT(G);
-    Ge = cuddE(G);
-    if (G != g) {
-        Gt = Cudd_Not(Gt);
-        Ge = Cudd_Not(Ge);
-    }
-    } else {
-    Gt = Ge = g;
-    }
-    if (top == dlevel) {
-    Dt = cuddT(D);
-    De = cuddE(D);
-    } else {
-    Dt = De = D;
-    }
-
-    /* Solve recursively. */
-    res = Cudd_bddLeqUnless(dd,Ft,Gt,Dt);
-    if (res != 0) {
-    res = Cudd_bddLeqUnless(dd,Fe,Ge,De);
-    }
-    cuddCacheInsert(dd,DD_BDD_LEQ_UNLESS_TAG,f,g,D,Cudd_NotCond(One,!res));
-
-    return(res);
-
-} /* end of Cudd_bddLeqUnless */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Compares two ADDs for equality within tolerance.]
-
-  Description [Compares two ADDs for equality within tolerance. Two
-  ADDs are reported to be equal if the maximum difference between them
-  (the sup norm of their difference) is less than or equal to the
-  tolerance parameter. Returns 1 if the two ADDs are equal (within
-  tolerance); 0 otherwise. If parameter <code>pr</code> is positive
-  the first failure is reported to the standard output.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-Cudd_EqualSupNorm(
-  DdManager * dd /* manager */,
-  DdNode * f /* first ADD */,
-  DdNode * g /* second ADD */,
-  CUDD_VALUE_TYPE  tolerance /* maximum allowed difference */,
-  int  pr /* verbosity level */)
-{
-    DdNode *fv, *fvn, *gv, *gvn, *r;
-    unsigned int topf, topg;
-
-    statLine(dd);
-    /* Check terminal cases. */
-    if (f == g) return(1);
-    if (Cudd_IsConstant(f) && Cudd_IsConstant(g)) {
-    if (ddEqualVal(cuddV(f),cuddV(g),tolerance)) {
-        return(1);
-    } else {
-        if (pr>0) {
-        (void) fprintf(dd->out,"Offending nodes:\n");
-#if SIZEOF_VOID_P == 8
-        (void) fprintf(dd->out,
-                   "f: address = %lx\t value = %40.30f\n",
-                   (unsigned long) f, cuddV(f));
-        (void) fprintf(dd->out,
-                   "g: address = %lx\t value = %40.30f\n",
-                   (unsigned long) g, cuddV(g));
-#else
-        (void) fprintf(dd->out,
-                   "f: address = %x\t value = %40.30f\n",
-                   (unsigned) f, cuddV(f));
-        (void) fprintf(dd->out,
-                   "g: address = %x\t value = %40.30f\n",
-                   (unsigned) g, cuddV(g));
-#endif
-        }
-        return(0);
-    }
-    }
-
-    /* We only insert the result in the cache if the comparison is
-    ** successful. Therefore, if we hit we return 1. */
-    r = cuddCacheLookup2(dd,(DdNode * (*)(DdManager *, DdNode *, DdNode *))Cudd_EqualSupNorm,f,g);
-    if (r != NULL) {
-    return(1);
-    }
-
-    /* Compute the cofactors and solve the recursive subproblems. */
-    topf = cuddI(dd,f->index);
-    topg = cuddI(dd,g->index);
-
-    if (topf <= topg) {fv = cuddT(f); fvn = cuddE(f);} else {fv = fvn = f;}
-    if (topg <= topf) {gv = cuddT(g); gvn = cuddE(g);} else {gv = gvn = g;}
-
-    if (!Cudd_EqualSupNorm(dd,fv,gv,tolerance,pr)) return(0);
-    if (!Cudd_EqualSupNorm(dd,fvn,gvn,tolerance,pr)) return(0);
-
-    cuddCacheInsert2(dd,(DdNode * (*)(DdManager *, DdNode *, DdNode *))Cudd_EqualSupNorm,f,g,DD_ONE(dd));
-
-    return(1);
-
-} /* end of Cudd_EqualSupNorm */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Expands cube to a prime implicant of f.]
-
-  Description [Expands cube to a prime implicant of f. Returns the prime
-  if successful; NULL otherwise.  In particular, NULL is returned if cube
-  is not a real cube or is not an implicant of f.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-Cudd_bddMakePrime(
-  DdManager *dd /* manager */,
-  DdNode *cube /* cube to be expanded */,
-  DdNode *f /* function of which the cube is to be made a prime */)
-{
-    DdNode *res;
-
-    if (!Cudd_bddLeq(dd,cube,f)) return(NULL);
-
-    do {
-    dd->reordered = 0;
-    res = cuddBddMakePrime(dd,cube,f);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_bddMakePrime */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_bddMakePrime.]
-
-  Description [Performs the recursive step of Cudd_bddMakePrime.
-  Returns the prime if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-cuddBddMakePrime(
-  DdManager *dd /* manager */,
-  DdNode *cube /* cube to be expanded */,
-  DdNode *f /* function of which the cube is to be made a prime */)
-{
-    DdNode *scan;
-    DdNode *t, *e;
-    DdNode *res = cube;
-    DdNode *zero = Cudd_Not(DD_ONE(dd));
-
-    Cudd_Ref(res);
-    scan = cube;
-    while (!Cudd_IsConstant(scan)) {
-    DdNode *reg = Cudd_Regular(scan);
-    DdNode *var = dd->vars[reg->index];
-    DdNode *expanded = Cudd_bddExistAbstract(dd,res,var);
-    if (expanded == NULL) {
-        return(NULL);
-    }
-    Cudd_Ref(expanded);
-    if (Cudd_bddLeq(dd,expanded,f)) {
-        Cudd_RecursiveDeref(dd,res);
-        res = expanded;
-    } else {
-        Cudd_RecursiveDeref(dd,expanded);
-    }
-    cuddGetBranches(scan,&t,&e);
-    if (t == zero) {
-        scan = e;
-    } else if (e == zero) {
-        scan = t;
-    } else {
-        Cudd_RecursiveDeref(dd,res);
-        return(NULL);    /* cube is not a cube */
-    }
-    }
-
-    if (scan == DD_ONE(dd)) {
-    Cudd_Deref(res);
-    return(res);
-    } else {
-    Cudd_RecursiveDeref(dd,res);
-    return(NULL);
-    }
-
-} /* end of cuddBddMakePrime */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Frees the entries of the visited symbol table.]
-
-  Description [Frees the entries of the visited symbol table. Returns
-  ST_CONTINUE.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static enum st_retval
-freePathPair(
-  char * key,
-  char * value,
-  char * arg)
-{
-    cuddPathPair *pair;
-
-    pair = (cuddPathPair *) value;
-    FREE(pair);
-    return(ST_CONTINUE);
-
-} /* end of freePathPair */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the length of the shortest path(s) in a DD.]
-
-  Description [Finds the length of the shortest path(s) in a DD.
-  Uses a local symbol table to store the lengths for each
-  node. Only the lengths for the regular nodes are entered in the table,
-  because those for the complement nodes are simply obtained by swapping
-  the two lenghts.
-  Returns a pair of lengths: the length of the shortest path to 1;
-  and the length of the shortest path to 0. This is done so as to take
-  complement arcs into account.]
-
-  SideEffects [Accumulates the support of the DD in support.]
-
-  SeeAlso     []
-
-******************************************************************************/
-static cuddPathPair
-getShortest(
-  DdNode * root,
-  int * cost,
-  int * support,
-  st_table * visited)
-{
-    cuddPathPair *my_pair, res_pair, pair_T, pair_E;
-    DdNode    *my_root, *T, *E;
-    int        weight;
-
-    my_root = Cudd_Regular(root);
-
-    if (st_lookup(visited, (char *)my_root, (char **)&my_pair)) {
-    if (Cudd_IsComplement(root)) {
-        res_pair.pos = my_pair->neg;
-        res_pair.neg = my_pair->pos;
-    } else {
-        res_pair.pos = my_pair->pos;
-        res_pair.neg = my_pair->neg;
-    }
-    return(res_pair);
-    }
-
-    /* In the case of a BDD the following test is equivalent to
-    ** testing whether the BDD is the constant 1. This formulation,
-    ** however, works for ADDs as well, by assuming the usual
-    ** dichotomy of 0 and != 0.
-    */
-    if (cuddIsConstant(my_root)) {
-    if (my_root != zero) {
-        res_pair.pos = 0;
-        res_pair.neg = DD_BIGGY;
-    } else {
-        res_pair.pos = DD_BIGGY;
-        res_pair.neg = 0;
-    }
-    } else {
-    T = cuddT(my_root);
-    E = cuddE(my_root);
-
-    pair_T = getShortest(T, cost, support, visited);
-    pair_E = getShortest(E, cost, support, visited);
-    weight = WEIGHT(cost, my_root->index);
-    res_pair.pos = ddMin(pair_T.pos+weight, pair_E.pos);
-    res_pair.neg = ddMin(pair_T.neg+weight, pair_E.neg);
-
-    /* Update support. */
-    if (support != NULL) {
-        support[my_root->index] = 1;
-    }
-    }
-
-    my_pair = ALLOC(cuddPathPair, 1);
-    if (my_pair == NULL) {
-    if (Cudd_IsComplement(root)) {
-        int tmp = res_pair.pos;
-        res_pair.pos = res_pair.neg;
-        res_pair.neg = tmp;
-    }
-    return(res_pair);
-    }
-    my_pair->pos = res_pair.pos;
-    my_pair->neg = res_pair.neg;
-
-    st_insert(visited, (char *)my_root, (char *)my_pair);
-    if (Cudd_IsComplement(root)) {
-    res_pair.pos = my_pair->neg;
-    res_pair.neg = my_pair->pos;
-    } else {
-    res_pair.pos = my_pair->pos;
-    res_pair.neg = my_pair->neg;
-    }
-    return(res_pair);
-
-} /* end of getShortest */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Build a BDD for a shortest path of f.]
-
-  Description [Build a BDD for a shortest path of f.
-  Given the minimum length from the root, and the minimum
-  lengths for each node (in visited), apply triangulation at each node.
-  Of the two children of each node on a shortest path, at least one is
-  on a shortest path. In case of ties the procedure chooses the THEN
-  children.
-  Returns a pointer to the cube BDD representing the path if
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static DdNode *
-getPath(
-  DdManager * manager,
-  st_table * visited,
-  DdNode * f,
-  int * weight,
-  int  cost)
-{
-    DdNode    *sol, *tmp;
-    DdNode    *my_dd, *T, *E;
-    cuddPathPair *T_pair, *E_pair;
-    int        Tcost, Ecost;
-    int        complement;
-
-    my_dd = Cudd_Regular(f);
-    complement = Cudd_IsComplement(f);
-
-    sol = one;
-    cuddRef(sol);
-
-    while (!cuddIsConstant(my_dd)) {
-    Tcost = cost - WEIGHT(weight, my_dd->index);
-    Ecost = cost;
-
-    T = cuddT(my_dd);
-    E = cuddE(my_dd);
-
-    if (complement) {T = Cudd_Not(T); E = Cudd_Not(E);}
-
-    st_lookup(visited, (char *)Cudd_Regular(T), (char **)&T_pair);
-    if ((Cudd_IsComplement(T) && T_pair->neg == Tcost) ||
-    (!Cudd_IsComplement(T) && T_pair->pos == Tcost)) {
-        tmp = cuddBddAndRecur(manager,manager->vars[my_dd->index],sol);
-        if (tmp == NULL) {
-        Cudd_RecursiveDeref(manager,sol);
-        return(NULL);
-        }
-        cuddRef(tmp);
-        Cudd_RecursiveDeref(manager,sol);
-        sol = tmp;
-
-        complement =  Cudd_IsComplement(T);
-        my_dd = Cudd_Regular(T);
-        cost = Tcost;
-        continue;
-    }
-    st_lookup(visited, (char *)Cudd_Regular(E), (char **)&E_pair);
-    if ((Cudd_IsComplement(E) && E_pair->neg == Ecost) ||
-    (!Cudd_IsComplement(E) && E_pair->pos == Ecost)) {
-        tmp = cuddBddAndRecur(manager,Cudd_Not(manager->vars[my_dd->index]),sol);
-        if (tmp == NULL) {
-        Cudd_RecursiveDeref(manager,sol);
-        return(NULL);
-        }
-        cuddRef(tmp);
-        Cudd_RecursiveDeref(manager,sol);
-        sol = tmp;
-        complement = Cudd_IsComplement(E);
-        my_dd = Cudd_Regular(E);
-        cost = Ecost;
-        continue;
-    }
-    (void) fprintf(manager->err,"We shouldn't be here!!\n");
-    manager->errorCode = CUDD_INTERNAL_ERROR;
-    return(NULL);
-    }
-
-    cuddDeref(sol);
-    return(sol);
-
-} /* end of getPath */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the size of the largest cube(s) in a DD.]
-
-  Description [Finds the size of the largest cube(s) in a DD.
-  This problem is translated into finding the shortest paths from a node
-  when both THEN and ELSE arcs have unit lengths.
-  Uses a local symbol table to store the lengths for each
-  node. Only the lengths for the regular nodes are entered in the table,
-  because those for the complement nodes are simply obtained by swapping
-  the two lenghts.
-  Returns a pair of lengths: the length of the shortest path to 1;
-  and the length of the shortest path to 0. This is done so as to take
-  complement arcs into account.]
-
-  SideEffects [none]
-
-  SeeAlso     []
-
-******************************************************************************/
-static cuddPathPair
-getLargest(
-  DdNode * root,
-  st_table * visited)
-{
-    cuddPathPair *my_pair, res_pair, pair_T, pair_E;
-    DdNode    *my_root, *T, *E;
-
-    my_root = Cudd_Regular(root);
-
-    if (st_lookup(visited, (char *)my_root, (char **)&my_pair)) {
-    if (Cudd_IsComplement(root)) {
-        res_pair.pos = my_pair->neg;
-        res_pair.neg = my_pair->pos;
-    } else {
-        res_pair.pos = my_pair->pos;
-        res_pair.neg = my_pair->neg;
-    }
-    return(res_pair);
-    }
-
-    /* In the case of a BDD the following test is equivalent to
-    ** testing whether the BDD is the constant 1. This formulation,
-    ** however, works for ADDs as well, by assuming the usual
-    ** dichotomy of 0 and != 0.
-    */
-    if (cuddIsConstant(my_root)) {
-    if (my_root != zero) {
-        res_pair.pos = 0;
-        res_pair.neg = DD_BIGGY;
-    } else {
-        res_pair.pos = DD_BIGGY;
-        res_pair.neg = 0;
-    }
-    } else {
-    T = cuddT(my_root);
-    E = cuddE(my_root);
-
-    pair_T = getLargest(T, visited);
-    pair_E = getLargest(E, visited);
-    res_pair.pos = ddMin(pair_T.pos, pair_E.pos) + 1;
-    res_pair.neg = ddMin(pair_T.neg, pair_E.neg) + 1;
-    }
-
-    my_pair = ALLOC(cuddPathPair, 1);
-    if (my_pair == NULL) {    /* simlpy do not cache this result */
-    if (Cudd_IsComplement(root)) {
-        int tmp = res_pair.pos;
-        res_pair.pos = res_pair.neg;
-        res_pair.neg = tmp;
-    }
-    return(res_pair);
-    }
-    my_pair->pos = res_pair.pos;
-    my_pair->neg = res_pair.neg;
-
-    st_insert(visited, (char *)my_root, (char *)my_pair);
-    if (Cudd_IsComplement(root)) {
-    res_pair.pos = my_pair->neg;
-    res_pair.neg = my_pair->pos;
-    } else {
-    res_pair.pos = my_pair->pos;
-    res_pair.neg = my_pair->neg;
-    }
-    return(res_pair);
-
-} /* end of getLargest */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Build a BDD for a largest cube of f.]
-
-  Description [Build a BDD for a largest cube of f.
-  Given the minimum length from the root, and the minimum
-  lengths for each node (in visited), apply triangulation at each node.
-  Of the two children of each node on a shortest path, at least one is
-  on a shortest path. In case of ties the procedure chooses the THEN
-  children.
-  Returns a pointer to the cube BDD representing the path if
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static DdNode *
-getCube(
-  DdManager * manager,
-  st_table * visited,
-  DdNode * f,
-  int  cost)
-{
-    DdNode    *sol, *tmp;
-    DdNode    *my_dd, *T, *E;
-    cuddPathPair *T_pair, *E_pair;
-    int        Tcost, Ecost;
-    int        complement;
-
-    my_dd = Cudd_Regular(f);
-    complement = Cudd_IsComplement(f);
-
-    sol = one;
-    cuddRef(sol);
-
-    while (!cuddIsConstant(my_dd)) {
-    Tcost = cost - 1;
-    Ecost = cost - 1;
-
-    T = cuddT(my_dd);
-    E = cuddE(my_dd);
-
-    if (complement) {T = Cudd_Not(T); E = Cudd_Not(E);}
-
-    st_lookup(visited, (char *)Cudd_Regular(T), (char **)&T_pair);
-    if ((Cudd_IsComplement(T) && T_pair->neg == Tcost) ||
-    (!Cudd_IsComplement(T) && T_pair->pos == Tcost)) {
-        tmp = cuddBddAndRecur(manager,manager->vars[my_dd->index],sol);
-        if (tmp == NULL) {
-        Cudd_RecursiveDeref(manager,sol);
-        return(NULL);
-        }
-        cuddRef(tmp);
-        Cudd_RecursiveDeref(manager,sol);
-        sol = tmp;
-
-        complement =  Cudd_IsComplement(T);
-        my_dd = Cudd_Regular(T);
-        cost = Tcost;
-        continue;
-    }
-    st_lookup(visited, (char *)Cudd_Regular(E), (char **)&E_pair);
-    if ((Cudd_IsComplement(E) && E_pair->neg == Ecost) ||
-    (!Cudd_IsComplement(E) && E_pair->pos == Ecost)) {
-        tmp = cuddBddAndRecur(manager,Cudd_Not(manager->vars[my_dd->index]),sol);
-        if (tmp == NULL) {
-        Cudd_RecursiveDeref(manager,sol);
-        return(NULL);
-        }
-        cuddRef(tmp);
-        Cudd_RecursiveDeref(manager,sol);
-        sol = tmp;
-        complement = Cudd_IsComplement(E);
-        my_dd = Cudd_Regular(E);
-        cost = Ecost;
-        continue;
-    }
-    (void) fprintf(manager->err,"We shouldn't be here!\n");
-    manager->errorCode = CUDD_INTERNAL_ERROR;
-    return(NULL);
-    }
-
-    cuddDeref(sol);
-    return(sol);
-
-} /* end of getCube */
diff --git a/src/bdd/cudd/cuddSign.c b/src/bdd/cudd/cuddSign.c
deleted file mode 100644
index fcaa65c4..00000000
--- a/src/bdd/cudd/cuddSign.c
+++ /dev/null
@@ -1,292 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddSign.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Computation of signatures]
-
-  Description [External procedures included in this module:
-            <ul>
-            <li> Cudd_CofMinterm();
-            </ul>
-        Static procedures included in this module:
-            <ul>
-            <li> ddCofMintermAux()
-            </ul>
-            ]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddSign.c,v 1.1.1.1 2003/02/24 22:23:53 wjiang Exp $";
-#endif
-
-static int    size;
-
-#ifdef DD_STATS
-static int num_calls;    /* should equal 2n-1 (n is the # of nodes) */
-static int table_mem;
-#endif
-
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static double * ddCofMintermAux ARGS((DdManager *dd, DdNode *node, st_table *table));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis [Computes the fraction of minterms in the on-set of all the
-  positive cofactors of a BDD or ADD.]
-
-  Description [Computes the fraction of minterms in the on-set of all
-  the positive cofactors of DD. Returns the pointer to an array of
-  doubles if successful; NULL otherwise. The array hs as many
-  positions as there are BDD variables in the manager plus one. The
-  last position of the array contains the fraction of the minterms in
-  the ON-set of the function represented by the BDD or ADD. The other
-  positions of the array hold the variable signatures.]
-
-  SideEffects [None]
-
-******************************************************************************/
-double *
-Cudd_CofMinterm(
-  DdManager * dd,
-  DdNode * node)
-{
-    st_table    *table;
-    double    *values;
-    double    *result = NULL;
-    int        i, firstLevel;
-
-#ifdef DD_STATS
-    long startTime;
-    startTime = util_cpu_time();
-    num_calls = 0;
-    table_mem = sizeof(st_table);
-#endif
-
-    table = st_init_table(st_ptrcmp, st_ptrhash);
-    if (table == NULL) {
-    (void) fprintf(dd->err,
-               "out-of-memory, couldn't measure DD cofactors.\n");
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    size = dd->size;
-    values = ddCofMintermAux(dd, node, table);
-    if (values != NULL) {
-    result = ALLOC(double,size + 1);
-    if (result != NULL) {
-#ifdef DD_STATS
-        table_mem += (size + 1) * sizeof(double);
-#endif
-        if (Cudd_IsConstant(node))
-        firstLevel = 1;
-        else
-        firstLevel = cuddI(dd,Cudd_Regular(node)->index);
-        for (i = 0; i < size; i++) {
-        if (i >= cuddI(dd,Cudd_Regular(node)->index)) {
-            result[dd->invperm[i]] = values[i - firstLevel];
-        } else {
-            result[dd->invperm[i]] = values[size - firstLevel];
-        }
-        }
-        result[size] = values[size - firstLevel];
-    } else {
-        dd->errorCode = CUDD_MEMORY_OUT;
-    }
-    }
-
-#ifdef DD_STATS
-    table_mem += table->num_bins * sizeof(st_table_entry *);
-#endif
-    if (Cudd_Regular(node)->ref == 1) FREE(values);
-    st_foreach(table, cuddStCountfree, NULL);
-    st_free_table(table);
-#ifdef DD_STATS
-    (void) fprintf(dd->out,"Number of calls: %d\tTable memory: %d bytes\n",
-             num_calls, table_mem);
-    (void) fprintf(dd->out,"Time to compute measures: %s\n",
-          util_print_time(util_cpu_time() - startTime));
-#endif
-    if (result == NULL) {
-    (void) fprintf(dd->out,
-               "out-of-memory, couldn't measure DD cofactors.\n");
-    dd->errorCode = CUDD_MEMORY_OUT;
-    }
-    return(result);
-
-} /* end of Cudd_CofMinterm */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Recursive Step for Cudd_CofMinterm function.]
-
-  Description [Traverses the DD node and computes the fraction of
-  minterms in the on-set of all positive cofactors simultaneously.
-  It allocates an array with two more entries than there are
-  variables below the one labeling the node.  One extra entry (the
-  first in the array) is for the variable labeling the node. The other
-  entry (the last one in the array) holds the fraction of minterms of
-  the function rooted at node.  Each other entry holds the value for
-  one cofactor. The array is put in a symbol table, to avoid repeated
-  computation, and its address is returned by the procedure, for use
-  by the caller.  Returns a pointer to the array of cofactor measures.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static double *
-ddCofMintermAux(
-  DdManager * dd,
-  DdNode * node,
-  st_table * table)
-{
-    DdNode    *N;        /* regular version of node */
-    DdNode    *Nv, *Nnv;
-    double    *values;
-    double    *valuesT, *valuesE;
-    int        i;
-    int        localSize, localSizeT, localSizeE;
-    double    vT, vE;
-
-    statLine(dd);
-#ifdef DD_STATS
-    num_calls++;
-#endif
-
-    if (st_lookup(table, (char *) node, (char **) &values)) {
-    return(values);
-    }
-
-    N = Cudd_Regular(node);
-    if (cuddIsConstant(N)) {
-    localSize = 1;
-    } else {
-    localSize = size - cuddI(dd,N->index) + 1;
-    }
-    values = ALLOC(double, localSize);
-    if (values == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-
-    if (cuddIsConstant(N)) {
-    if (node == DD_ZERO(dd) || node == Cudd_Not(DD_ONE(dd))) {
-        values[0] = 0.0;
-    } else {
-        values[0] = 1.0;
-    }
-    } else {
-    Nv = Cudd_NotCond(cuddT(N),N!=node);
-    Nnv = Cudd_NotCond(cuddE(N),N!=node);
-
-    valuesT = ddCofMintermAux(dd, Nv, table);
-    if (valuesT == NULL) return(NULL);
-    valuesE = ddCofMintermAux(dd, Nnv, table);
-    if (valuesE == NULL) return(NULL);
-
-    if (Cudd_IsConstant(Nv)) {
-        localSizeT = 1;
-    } else {
-        localSizeT = size - cuddI(dd,Cudd_Regular(Nv)->index) + 1;
-    }
-    if (Cudd_IsConstant(Nnv)) {
-        localSizeE = 1;
-    } else {
-        localSizeE = size - cuddI(dd,Cudd_Regular(Nnv)->index) + 1;
-    }
-    values[0] = valuesT[localSizeT - 1];
-    for (i = 1; i < localSize; i++) {
-        if (i >= cuddI(dd,Cudd_Regular(Nv)->index) - cuddI(dd,N->index)) {
-        vT = valuesT[i - cuddI(dd,Cudd_Regular(Nv)->index) +
-                cuddI(dd,N->index)];
-        } else {
-        vT = valuesT[localSizeT - 1];
-        }
-        if (i >= cuddI(dd,Cudd_Regular(Nnv)->index) - cuddI(dd,N->index)) {
-        vE = valuesE[i - cuddI(dd,Cudd_Regular(Nnv)->index) +
-                cuddI(dd,N->index)];
-        } else {
-        vE = valuesE[localSizeE - 1];
-        }
-        values[i] = (vT + vE) / 2.0;
-    }
-    if (Cudd_Regular(Nv)->ref == 1) FREE(valuesT);
-    if (Cudd_Regular(Nnv)->ref == 1) FREE(valuesE);
-    }
-
-    if (N->ref > 1) {
-    if (st_add_direct(table, (char *) node, (char *) values) == ST_OUT_OF_MEM) {
-        FREE(values);
-        return(NULL);
-    }
-#ifdef DD_STATS
-    table_mem += localSize * sizeof(double) + sizeof(st_table_entry);
-#endif
-    }
-    return(values);
-
-} /* end of ddCofMintermAux */
-
diff --git a/src/bdd/cudd/cuddSolve.c b/src/bdd/cudd/cuddSolve.c
deleted file mode 100644
index d9c4a2e7..00000000
--- a/src/bdd/cudd/cuddSolve.c
+++ /dev/null
@@ -1,339 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddSolve.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Boolean equation solver and related functions.]
-
-  Description [External functions included in this modoule:
-        <ul>
-        <li> Cudd_SolveEqn()
-        <li> Cudd_VerifySol()
-        </ul>
-    Internal functions included in this module:
-        <ul>
-        <li> cuddSolveEqnRecur()
-        <li> cuddVerifySol()
-        </ul> ]
-
-  SeeAlso     []
-
-  Author      [Balakrishna Kumthekar]
-
-  Copyright [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Structure declarations                                                    */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddSolve.c,v 1.1.1.1 2003/02/24 22:23:53 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implements the solution of F(x,y) = 0.]
-
-  Description [Implements the solution for F(x,y) = 0. The return
-  value is the consistency condition. The y variables are the unknowns
-  and the remaining variables are the parameters.  Returns the
-  consistency condition if successful; NULL otherwise. Cudd_SolveEqn
-  allocates an array and fills it with the indices of the
-  unknowns. This array is used by Cudd_VerifySol.]
-
-  SideEffects [The solution is returned in G; the indices of the y
-  variables are returned in yIndex.]
-
-  SeeAlso     [Cudd_VerifySol]
-
-******************************************************************************/
-DdNode *
-Cudd_SolveEqn(
-  DdManager *  bdd,
-  DdNode * F /* the left-hand side of the equation */,
-  DdNode * Y /* the cube of the y variables */,
-  DdNode ** G /* the array of solutions (return parameter) */,
-  int ** yIndex /* index of y variables */,
-  int  n /* numbers of unknowns */)
-{
-    DdNode *res;
-    int *temp;
-
-    *yIndex = temp = ALLOC(int, n);
-    if (temp == NULL) {
-    bdd->errorCode = CUDD_MEMORY_OUT;
-    (void) fprintf(bdd->out,
-               "Cudd_SolveEqn: Out of memory for yIndex\n");
-    return(NULL);
-    }
-
-    do {
-    bdd->reordered = 0;
-    res = cuddSolveEqnRecur(bdd, F, Y, G, n, temp, 0);
-    } while (bdd->reordered == 1);
-
-    return(res);
-
-} /* end of Cudd_SolveEqn */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks the solution of F(x,y) = 0.]
-
-  Description [Checks the solution of F(x,y) = 0. This procedure 
-  substitutes the solution components for the unknowns of F and returns 
-  the resulting BDD for F.] 
-
-  SideEffects [Frees the memory pointed by yIndex.]
-
-  SeeAlso     [Cudd_SolveEqn]
-
-******************************************************************************/
-DdNode *
-Cudd_VerifySol(
-  DdManager *  bdd,
-  DdNode * F /* the left-hand side of the equation */,
-  DdNode ** G /* the array of solutions */,
-  int * yIndex /* index of y variables */,
-  int  n /* numbers of unknowns */)
-{
-    DdNode *res;
-
-    do {
-    bdd->reordered = 0;
-    res = cuddVerifySol(bdd, F, G, yIndex, n);
-    } while (bdd->reordered == 1);
-
-    FREE(yIndex);
-
-    return(res);
-
-} /* end of Cudd_VerifySol */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implements the recursive step of Cudd_SolveEqn.]
-
-  Description [Implements the recursive step of Cudd_SolveEqn. 
-  Returns NULL if the intermediate solution blows up
-  or reordering occurs. The parametric solutions are
-  stored in the array G.]
-
-  SideEffects [none]
-
-  SeeAlso     [Cudd_SolveEqn, Cudd_VerifySol]
-
-******************************************************************************/
-DdNode *
-cuddSolveEqnRecur(
-  DdManager * bdd,
-  DdNode * F /* the left-hand side of the equation */,
-  DdNode * Y /* the cube of remaining y variables */,
-  DdNode ** G /* the array of solutions */,
-  int  n /* number of unknowns */,
-  int * yIndex /* array holding the y variable indices */,
-  int  i /* level of recursion */)
-{
-    DdNode *Fn, *Fm1, *Fv, *Fvbar, *T, *w, *nextY, *one;
-    DdNodePtr *variables;
-
-    int j;
-
-    statLine(bdd);
-    variables = bdd->vars;
-    one = DD_ONE(bdd);
-
-    /* Base condition. */
-    if (Y == one) {
-    return F;
-    }
-
-    /* Cofactor of Y. */
-    yIndex[i] = Y->index;
-    nextY = Cudd_T(Y);
-
-    /* Universal abstraction of F with respect to the top variable index. */
-    Fm1 = cuddBddExistAbstractRecur(bdd, Cudd_Not(F), variables[yIndex[i]]);
-    if (Fm1) {
-    Fm1 = Cudd_Not(Fm1);
-    cuddRef(Fm1);
-    } else {
-    return(NULL);
-    }
-
-    Fn = cuddSolveEqnRecur(bdd, Fm1, nextY, G, n, yIndex, i+1);
-    if (Fn) {
-    cuddRef(Fn);
-    } else {
-    Cudd_RecursiveDeref(bdd, Fm1);
-    return(NULL);
-    }
-
-    Fv = cuddCofactorRecur(bdd, F, variables[yIndex[i]]);
-    if (Fv) {
-    cuddRef(Fv);
-    } else {
-    Cudd_RecursiveDeref(bdd, Fm1);
-    Cudd_RecursiveDeref(bdd, Fn);
-    return(NULL);
-    }
-
-    Fvbar = cuddCofactorRecur(bdd, F, Cudd_Not(variables[yIndex[i]]));
-    if (Fvbar) {
-    cuddRef(Fvbar);
-    } else {
-    Cudd_RecursiveDeref(bdd, Fm1);
-    Cudd_RecursiveDeref(bdd, Fn);
-    Cudd_RecursiveDeref(bdd, Fv);
-    return(NULL);
-    }
-
-    /* Build i-th component of the solution. */
-    w = cuddBddIteRecur(bdd, variables[yIndex[i]], Cudd_Not(Fv), Fvbar);
-    if (w) {
-    cuddRef(w);
-    } else {
-    Cudd_RecursiveDeref(bdd, Fm1);
-    Cudd_RecursiveDeref(bdd, Fn);
-    Cudd_RecursiveDeref(bdd, Fv);
-    Cudd_RecursiveDeref(bdd, Fvbar);
-    return(NULL);
-    }
-
-    T = cuddBddRestrictRecur(bdd, w, Cudd_Not(Fm1));
-    if(T) {
-    cuddRef(T);
-    } else {
-    Cudd_RecursiveDeref(bdd, Fm1);
-    Cudd_RecursiveDeref(bdd, Fn);
-    Cudd_RecursiveDeref(bdd, Fv);
-    Cudd_RecursiveDeref(bdd, Fvbar);
-    Cudd_RecursiveDeref(bdd, w);
-    return(NULL);
-    }
-
-    Cudd_RecursiveDeref(bdd,Fm1);
-    Cudd_RecursiveDeref(bdd,w);
-    Cudd_RecursiveDeref(bdd,Fv);
-    Cudd_RecursiveDeref(bdd,Fvbar);
-
-    /* Substitute components of solution already found into solution. */
-    for (j = n-1; j > i; j--) {
-    w = cuddBddComposeRecur(bdd,T, G[j], variables[yIndex[j]]);
-    if(w) {
-        cuddRef(w);
-    } else {
-        Cudd_RecursiveDeref(bdd, Fn);
-        Cudd_RecursiveDeref(bdd, T);
-        return(NULL);
-    }
-    Cudd_RecursiveDeref(bdd,T);
-    T = w;
-    }
-    G[i] = T;
-
-    Cudd_Deref(Fn);
-
-    return(Fn);
-
-} /* end of cuddSolveEqnRecur */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implements the recursive step of Cudd_VerifySol. ]
-
-  Description []
-
-  SideEffects [none]
-
-  SeeAlso     [Cudd_VerifySol]
-
-******************************************************************************/
-DdNode *
-cuddVerifySol(
-  DdManager * bdd,
-  DdNode * F /* the left-hand side of the equation */,
-  DdNode ** G /* the array of solutions */,
-  int * yIndex /* array holding the y variable indices */,
-  int  n /* number of unknowns */)
-{
-    DdNode *w, *R;
-
-    int j;
-
-    R = F;
-    cuddRef(R);
-    for(j = n - 1; j >= 0; j--) {
-     w = Cudd_bddCompose(bdd, R, G[j], yIndex[j]);
-    if (w) {
-        cuddRef(w);
-    } else {
-        return(NULL); 
-    }
-    Cudd_RecursiveDeref(bdd,R);
-    R = w;
-    }
-
-    cuddDeref(R);
-
-    return(R);
-
-} /* end of cuddVerifySol */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
diff --git a/src/bdd/cudd/cuddSplit.c b/src/bdd/cudd/cuddSplit.c
deleted file mode 100644
index e21ea7cb..00000000
--- a/src/bdd/cudd/cuddSplit.c
+++ /dev/null
@@ -1,657 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddSplit.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Returns a subset of minterms from a boolean function.]
-
-  Description [External functions included in this modoule:
-        <ul>
-        <li> Cudd_SplitSet()
-        </ul>
-    Internal functions included in this module:
-        <ul>
-        <li> cuddSplitSetRecur()
-        </u>
-        Static functions included in this module:
-        <ul>
-        <li> selectMintermsFromUniverse()
-        <li> mintermsFromUniverse()
-        <li> bddAnnotateMintermCount()
-        </ul> ]
-
-  SeeAlso     []
-
-  Author      [Balakrishna Kumthekar]
-
-  Copyright [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Structure declarations                                                    */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static DdNode * selectMintermsFromUniverse ARGS((DdManager *manager, int *varSeen, double n));
-static DdNode * mintermsFromUniverse ARGS((DdManager *manager, DdNode **vars, int numVars, double n, int index));
-static double bddAnnotateMintermCount ARGS((DdManager *manager, DdNode *node, double max, st_table *table));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns m minterms from a BDD.]
-
-  Description [Returns <code>m</code> minterms from a BDD whose
-  support has <code>n</code> variables at most.  The procedure tries
-  to create as few extra nodes as possible. The function represented
-  by <code>S</code> depends on at most <code>n</code> of the variables
-  in <code>xVars</code>. Returns a BDD with <code>m</code> minterms
-  of the on-set of S if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-Cudd_SplitSet(
-  DdManager * manager,
-  DdNode * S,
-  DdNode ** xVars,
-  int  n,
-  double  m)
-{
-    DdNode *result;
-    DdNode *zero, *one;
-    double  max, num;
-    st_table *mtable;
-    int *varSeen;
-    int i,index, size;
-
-    size = manager->size;
-    one = DD_ONE(manager);
-    zero = Cudd_Not(one);
-
-    /* Trivial cases. */
-    if (m == 0.0) {
-    return(zero);
-    }
-    if (S == zero) {
-    return(NULL);
-    }
-
-    max = pow(2.0,(double)n);
-    if (m > max)
-    return(NULL);
-
-    do {
-    manager->reordered = 0;
-    /* varSeen is used to mark the variables that are encountered
-    ** while traversing the BDD S.
-    */
-    varSeen = ALLOC(int, size);
-    if (varSeen == NULL) {
-        manager->errorCode = CUDD_MEMORY_OUT;
-        return(NULL);
-    }
-    for (i = 0; i < size; i++) {
-        varSeen[i] = -1;
-    }
-    for (i = 0; i < n; i++) {
-        index = (xVars[i])->index;
-        varSeen[manager->invperm[index]] = 0;
-    }
-
-    if (S == one) {
-        if (m == max) 
-        return(S);
-        result = selectMintermsFromUniverse(manager,varSeen,m);
-        if (result)
-        cuddRef(result);
-        FREE(varSeen);
-    } else {
-        mtable = st_init_table(st_ptrcmp,st_ptrhash);
-        if (mtable == NULL) {
-        (void) fprintf(manager->out,
-                   "Cudd_SplitSet: out-of-memory.\n");
-        FREE(varSeen);
-        manager->errorCode = CUDD_MEMORY_OUT;
-        return(NULL);
-        }
-        /* The nodes of BDD S are annotated by the number of minterms
-        ** in their onset. The node and the number of minterms in its
-        ** onset are stored in mtable.
-        */
-        num = bddAnnotateMintermCount(manager,S,max,mtable);
-        if (m == num) {
-        st_foreach(mtable,cuddStCountfree,NIL(char));
-        st_free_table(mtable);
-        FREE(varSeen);
-        return(S);
-        }
-        
-        result = cuddSplitSetRecur(manager,mtable,varSeen,S,m,max,0);
-        if (result)
-        cuddRef(result);
-        st_foreach(mtable,cuddStCountfree,NULL);
-        st_free_table(mtable);
-        FREE(varSeen);
-    }
-    } while (manager->reordered == 1);
-
-    cuddDeref(result);
-    return(result);
-
-} /* end of Cudd_SplitSet */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis    [Implements the recursive step of Cudd_SplitSet.]
-
-  Description [Implements the recursive step of Cudd_SplitSet. The
-  procedure recursively traverses the BDD and checks to see if any
-  node satisfies the minterm requirements as specified by 'n'. At any
-  node X, n is compared to the number of minterms in the onset of X's
-  children. If either of the child nodes have exactly n minterms, then
-  that node is returned; else, if n is greater than the onset of one
-  of the child nodes, that node is retained and the difference in the
-  number of minterms is extracted from the other child. In case n
-  minterms can be extracted from constant 1, the algorithm returns the
-  result with at most log(n) nodes.]
-
-  SideEffects [The array 'varSeen' is updated at every recursive call
-  to set the variables traversed by the procedure.]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode*
-cuddSplitSetRecur(
-  DdManager * manager,
-  st_table * mtable,
-  int * varSeen,
-  DdNode * p,
-  double  n,
-  double  max,
-  int  index)
-{
-    DdNode *one, *zero, *N, *Nv;
-    DdNode *Nnv, *q, *r, *v;
-    DdNode *result;
-    double *dummy, numT, numE;
-    int variable, positive;
-  
-    statLine(manager);
-    one = DD_ONE(manager);
-    zero = Cudd_Not(one);
-
-    /* If p is constant, extract n minterms from constant 1.  The procedure by
-    ** construction guarantees that minterms will not be extracted from
-    ** constant 0.
-    */
-    if (Cudd_IsConstant(p)) {
-    q = selectMintermsFromUniverse(manager,varSeen,n);
-    return(q);
-    }
-
-    N = Cudd_Regular(p);
-
-    /* Set variable as seen. */
-    variable = N->index;
-    varSeen[manager->invperm[variable]] = -1;
-
-    Nv = cuddT(N);
-    Nnv = cuddE(N);
-    if (Cudd_IsComplement(p)) {
-    Nv = Cudd_Not(Nv);
-    Nnv = Cudd_Not(Nnv);
-    }
-
-    /* If both the children of 'p' are constants, extract n minterms from a
-    ** constant node.
-    */
-    if (Cudd_IsConstant(Nv) && Cudd_IsConstant(Nnv)) {
-    q = selectMintermsFromUniverse(manager,varSeen,n);
-    if (q == NULL) {
-        return(NULL);
-    }
-    cuddRef(q);
-    r = cuddBddAndRecur(manager,p,q);
-    if (r == NULL) {
-        Cudd_RecursiveDeref(manager,q);
-        return(NULL);
-    }
-    cuddRef(r);
-    Cudd_RecursiveDeref(manager,q);
-    cuddDeref(r);
-    return(r);
-    }
-  
-    /* Lookup the # of minterms in the onset of the node from the table. */
-    if (!Cudd_IsConstant(Nv)) {
-    st_lookup(mtable,(char *)Nv, (char **)&dummy);
-    numT = *dummy/(2*(1<<index));
-    } else if (Nv == one) {
-    numT = max/(2*(1<<index));
-    } else {
-    numT = 0;
-    }
-  
-    if (!Cudd_IsConstant(Nnv)) {
-    st_lookup(mtable,(char *)Nnv, (char **)&dummy);
-    numE = *dummy/(2*(1<<index));
-    } else if (Nnv == one) {
-    numE = max/(2*(1<<index));
-    } else {
-    numE = 0;
-    }
-
-    v = cuddUniqueInter(manager,variable,one,zero);
-    cuddRef(v);
-
-    /* If perfect match. */
-    if (numT == n) {
-    q = cuddBddAndRecur(manager,v,Nv);
-    if (q == NULL) {
-        Cudd_RecursiveDeref(manager,v);
-        return(NULL);
-    }
-    cuddRef(q);
-    Cudd_RecursiveDeref(manager,v);
-    cuddDeref(q);
-    return(q);
-    }
-    if (numE == n) {
-    q = cuddBddAndRecur(manager,Cudd_Not(v),Nnv);
-    if (q == NULL) {
-        Cudd_RecursiveDeref(manager,v);
-        return(NULL);
-    }
-    cuddRef(q);
-    Cudd_RecursiveDeref(manager,v);
-    cuddDeref(q);
-    return(q);
-    }
-    /* If n is greater than numT, extract the difference from the ELSE child
-    ** and retain the function represented by the THEN branch.
-    */
-    if (numT < n) {
-    q = cuddSplitSetRecur(manager,mtable,varSeen,
-                  Nnv,(n-numT),max,index+1);
-    if (q == NULL) {
-        Cudd_RecursiveDeref(manager,v);
-        return(NULL);
-    }
-    cuddRef(q);
-    r = cuddBddIteRecur(manager,v,Nv,q);
-    if (r == NULL) {
-        Cudd_RecursiveDeref(manager,q);
-        Cudd_RecursiveDeref(manager,v);
-        return(NULL);
-    }
-    cuddRef(r);
-    Cudd_RecursiveDeref(manager,q);
-    Cudd_RecursiveDeref(manager,v);
-    cuddDeref(r);
-    return(r);
-    }
-    /* If n is greater than numE, extract the difference from the THEN child
-    ** and retain the function represented by the ELSE branch.
-    */
-    if (numE < n) {
-    q = cuddSplitSetRecur(manager,mtable,varSeen,
-                  Nv, (n-numE),max,index+1);
-    if (q == NULL) {
-        Cudd_RecursiveDeref(manager,v);
-        return(NULL);
-    }
-    cuddRef(q);
-    r = cuddBddIteRecur(manager,v,q,Nnv);
-    if (r == NULL) {
-        Cudd_RecursiveDeref(manager,q);
-        Cudd_RecursiveDeref(manager,v);
-        return(NULL);
-    }
-    cuddRef(r);
-    Cudd_RecursiveDeref(manager,q);
-    Cudd_RecursiveDeref(manager,v);
-    cuddDeref(r);    
-    return(r);
-    }
-
-    /* None of the above cases; (n < numT and n < numE) and either of
-    ** the Nv, Nnv or both are not constants. If possible extract the
-    ** required minterms the constant branch.
-    */
-    if (Cudd_IsConstant(Nv) && !Cudd_IsConstant(Nnv)) {
-    q = selectMintermsFromUniverse(manager,varSeen,n);
-    if (q == NULL) {
-        Cudd_RecursiveDeref(manager,v);
-        return(NULL);
-    }
-    cuddRef(q);
-    result = cuddBddAndRecur(manager,v,q);
-    if (result == NULL) {
-        Cudd_RecursiveDeref(manager,q);
-        Cudd_RecursiveDeref(manager,v);
-        return(NULL);
-    }
-    cuddRef(result);
-    Cudd_RecursiveDeref(manager,q);
-    Cudd_RecursiveDeref(manager,v);
-    cuddDeref(result);
-    return(result);
-    } else if (!Cudd_IsConstant(Nv) && Cudd_IsConstant(Nnv)) {
-    q = selectMintermsFromUniverse(manager,varSeen,n);
-    if (q == NULL) {
-        Cudd_RecursiveDeref(manager,v);
-        return(NULL);
-    }
-    cuddRef(q);
-    result = cuddBddAndRecur(manager,Cudd_Not(v),q);
-    if (result == NULL) {
-        Cudd_RecursiveDeref(manager,q);
-        Cudd_RecursiveDeref(manager,v);
-        return(NULL);
-    }
-    cuddRef(result);
-    Cudd_RecursiveDeref(manager,q);
-    Cudd_RecursiveDeref(manager,v);
-    cuddDeref(result);
-    return(result);
-    }
-
-    /* Both Nv and Nnv are not constants. So choose the one which
-    ** has fewer minterms in its onset.
-    */
-    positive = 0;
-    if (numT < numE) {
-    q = cuddSplitSetRecur(manager,mtable,varSeen,
-                  Nv,n,max,index+1);
-    positive = 1;
-    } else {
-    q = cuddSplitSetRecur(manager,mtable,varSeen,
-                  Nnv,n,max,index+1);
-    }
-
-    if (q == NULL) {
-    Cudd_RecursiveDeref(manager,v);
-    return(NULL);
-    }
-    cuddRef(q);
-
-    if (positive) {
-    result = cuddBddAndRecur(manager,v,q);
-    } else {
-    result = cuddBddAndRecur(manager,Cudd_Not(v),q);
-    }
-    if (result == NULL) {
-    Cudd_RecursiveDeref(manager,q);
-    Cudd_RecursiveDeref(manager,v);
-    return(NULL);
-    }
-    cuddRef(result);
-    Cudd_RecursiveDeref(manager,q);
-    Cudd_RecursiveDeref(manager,v);
-    cuddDeref(result);
-
-    return(result);
-
-} /* end of cuddSplitSetRecur */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis [This function prepares an array of variables which have not been
-  encountered so far when traversing the procedure cuddSplitSetRecur.]
-
-  Description [This function prepares an array of variables which have not been
-  encountered so far when traversing the procedure cuddSplitSetRecur. This
-  array is then used to extract the required number of minterms from a constant
-  1. The algorithm guarantees that the size of BDD will be utmost \log(n).]
-
-  SideEffects [None]
-
-******************************************************************************/
-static DdNode *
-selectMintermsFromUniverse(
-  DdManager * manager,
-  int * varSeen,
-  double  n)
-{
-    int numVars;
-    int i, size, j;
-     DdNode *one, *zero, *result;
-    DdNode **vars;
-
-    numVars = 0;
-    size = manager->size;
-    one = DD_ONE(manager);
-    zero = Cudd_Not(one);
-
-    /* Count the number of variables not encountered so far in procedure
-    ** cuddSplitSetRecur.
-    */
-    for (i = size-1; i >= 0; i--) {
-    if(varSeen[i] == 0)
-        numVars++;
-    }
-    vars = ALLOC(DdNode *, numVars);
-    if (!vars) {
-    manager->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-
-    j = 0;
-    for (i = size-1; i >= 0; i--) {
-    if(varSeen[i] == 0) {
-        vars[j] = cuddUniqueInter(manager,manager->perm[i],one,zero);
-        cuddRef(vars[j]);
-        j++;
-    }
-    }
-
-    /* Compute a function which has n minterms and depends on at most
-    ** numVars variables.
-    */
-    result = mintermsFromUniverse(manager,vars,numVars,n, 0);
-    if (result) 
-    cuddRef(result);
-
-    for (i = 0; i < numVars; i++)
-    Cudd_RecursiveDeref(manager,vars[i]);
-    FREE(vars);
-
-    return(result);
-
-} /* end of selectMintermsFromUniverse */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Recursive procedure to extract n mintems from constant 1.]
-
-  Description [Recursive procedure to extract n mintems from constant 1.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static DdNode *
-mintermsFromUniverse(
-  DdManager * manager,
-  DdNode ** vars,
-  int  numVars,
-  double  n,
-  int  index)
-{
-    DdNode *one, *zero;
-    DdNode *q, *result;
-    double max, max2;
-    
-    statLine(manager);
-    one = DD_ONE(manager);
-    zero = Cudd_Not(one);
-
-    max = pow(2.0, (double)numVars);
-    max2 = max / 2.0;
-
-    if (n == max)
-    return(one);
-    if (n == 0.0)
-    return(zero);
-    /* if n == 2^(numVars-1), return a single variable */
-    if (n == max2)
-    return vars[index];
-    else if (n > max2) {
-    /* When n > 2^(numVars-1), a single variable vars[index]
-    ** contains 2^(numVars-1) minterms. The rest are extracted
-    ** from a constant with 1 less variable.
-    */
-    q = mintermsFromUniverse(manager,vars,numVars-1,(n-max2),index+1);
-    if (q == NULL)
-        return(NULL);
-    cuddRef(q);
-    result = cuddBddIteRecur(manager,vars[index],one,q);
-    } else {
-    /* When n < 2^(numVars-1), a literal of variable vars[index]
-    ** is selected. The required n minterms are extracted from a
-    ** constant with 1 less variable.
-    */
-    q = mintermsFromUniverse(manager,vars,numVars-1,n,index+1);
-    if (q == NULL)
-        return(NULL);
-    cuddRef(q);
-    result = cuddBddAndRecur(manager,vars[index],q);
-    }
-    
-    if (result == NULL) {
-    Cudd_RecursiveDeref(manager,q);
-    return(NULL);
-    }
-    cuddRef(result);
-    Cudd_RecursiveDeref(manager,q);
-    cuddDeref(result);
-    return(result);
-
-} /* end of mintermsFromUniverse */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Annotates every node in the BDD node with its minterm count.]
-
-  Description [Annotates every node in the BDD node with its minterm count.
-  In this function, every node and the minterm count represented by it are
-  stored in a hash table.]
-
-  SideEffects [Fills up 'table' with the pair <node,minterm_count>.]
-
-******************************************************************************/
-static double
-bddAnnotateMintermCount(
-  DdManager * manager,
-  DdNode * node,
-  double  max,
-  st_table * table)
-{
-
-    DdNode *N,*Nv,*Nnv;
-    register double min_v,min_nv;
-    register double min_N;
-    double *pmin;
-    double *dummy;
-
-    statLine(manager);
-    N = Cudd_Regular(node);
-    if (cuddIsConstant(N)) {
-    if (node == DD_ONE(manager)) {
-        return(max);
-    } else {
-        return(0.0);
-    }
-    }
-
-    if (st_lookup(table,(char *)node,(char **)&dummy)) {
-    return(*dummy);
-    }    
-  
-    Nv = cuddT(N);
-    Nnv = cuddE(N);
-    if (N != node) {
-    Nv = Cudd_Not(Nv);
-    Nnv = Cudd_Not(Nnv);
-    }
-
-    /* Recur on the two branches. */
-    min_v  = bddAnnotateMintermCount(manager,Nv,max,table) / 2.0;
-    if (min_v == (double)CUDD_OUT_OF_MEM)
-    return ((double)CUDD_OUT_OF_MEM);
-    min_nv = bddAnnotateMintermCount(manager,Nnv,max,table) / 2.0;
-    if (min_nv == (double)CUDD_OUT_OF_MEM)
-    return ((double)CUDD_OUT_OF_MEM);
-    min_N  = min_v + min_nv;
-
-    pmin = ALLOC(double,1);
-    if (pmin == NULL) {
-    manager->errorCode = CUDD_MEMORY_OUT;
-    return((double)CUDD_OUT_OF_MEM);
-    }
-    *pmin = min_N;
-
-    if (st_insert(table,(char *)node, (char *)pmin) == ST_OUT_OF_MEM) {
-    FREE(pmin);
-    return((double)CUDD_OUT_OF_MEM);
-    }
-    
-    return(min_N);
-
-} /* end of bddAnnotateMintermCount */
diff --git a/src/bdd/cudd/cuddSubsetHB.c b/src/bdd/cudd/cuddSubsetHB.c
deleted file mode 100644
index 24d41ce5..00000000
--- a/src/bdd/cudd/cuddSubsetHB.c
+++ /dev/null
@@ -1,1311 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddSubsetHB.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Procedure to subset the given BDD by choosing the heavier
-        branches]
-
-
-  Description [External procedures provided by this module:
-                <ul>
-        <li> Cudd_SubsetHeavyBranch()
-        <li> Cudd_SupersetHeavyBranch()
-        </ul>
-           Internal procedures included in this module:
-        <ul>
-        <li> cuddSubsetHeavyBranch()
-        </ul>
-           Static procedures included in this module:
-        <ul>
-        <li> ResizeCountMintermPages();
-        <li> ResizeNodeDataPages()
-        <li> ResizeCountNodePages()
-        <li> SubsetCountMintermAux()
-        <li> SubsetCountMinterm()
-        <li> SubsetCountNodesAux()
-        <li> SubsetCountNodes()
-        <li> BuildSubsetBdd()
-        </ul>
-        ]
-
-  SeeAlso     [cuddSubsetSP.c]
-
-  Author      [Kavita Ravi]
-
-  Copyright   [This file was created at the University of Colorado at
-               Boulder.  The University of Colorado at Boulder makes no
-           warranty about the suitability of this software for any
-           purpose.  It is presented on an AS IS basis.]
-
-******************************************************************************/
-
-#ifdef __STDC__
-#include <float.h>
-#else
-#define DBL_MAX_EXP 1024
-#endif
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#define    DEFAULT_PAGE_SIZE 2048
-#define    DEFAULT_NODE_DATA_PAGE_SIZE 1024
-#define INITIAL_PAGES 128
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/* data structure to store the information on each node. It keeps
- * the number of minterms represented by the DAG rooted at this node
- * in terms of the number of variables specified by the user, number
- * of nodes in this DAG and the number of nodes of its child with
- * lesser number of minterms that are not shared by the child with
- * more minterms
- */
-struct NodeData {
-    double *mintermPointer;
-    int *nodesPointer;
-    int *lightChildNodesPointer;
-};
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-typedef struct NodeData NodeData_t;
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddSubsetHB.c,v 1.1.1.1 2003/02/24 22:23:53 wjiang Exp $";
-#endif
-
-static int memOut;
-#ifdef DEBUG
-static    int        num_calls;
-#endif
-
-static    DdNode            *zero, *one; /* constant functions */
-static    double        **mintermPages;    /* pointers to the pages */
-static    int        **nodePages; /* pointers to the pages */
-static    int        **lightNodePages; /* pointers to the pages */
-static    double        *currentMintermPage; /* pointer to the current
-                           page */
-static  double         max; /* to store the 2^n value of the number
-                  * of variables */
-
-static    int        *currentNodePage; /* pointer to the current
-                           page */
-static    int        *currentLightNodePage; /* pointer to the
-                        *  current page */
-static    int        pageIndex; /* index to next element */
-static    int        page; /* index to current page */
-static    int        pageSize = DEFAULT_PAGE_SIZE; /* page size */
-static  int             maxPages; /* number of page pointers */
-
-static    NodeData_t    *currentNodeDataPage; /* pointer to the current
-                         page */
-static    int        nodeDataPage; /* index to next element */
-static    int        nodeDataPageIndex; /* index to next element */
-static    NodeData_t    **nodeDataPages; /* index to current page */
-static    int        nodeDataPageSize = DEFAULT_NODE_DATA_PAGE_SIZE;
-                                                     /* page size */
-static  int             maxNodeDataPages; /* number of page pointers */
-
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static void ResizeNodeDataPages ARGS(());
-static void ResizeCountMintermPages ARGS(());
-static void ResizeCountNodePages ARGS(());
-static double SubsetCountMintermAux ARGS((DdNode *node, double max, st_table *table));
-static st_table * SubsetCountMinterm ARGS((DdNode *node, int nvars));
-static int SubsetCountNodesAux ARGS((DdNode *node, st_table *table, double max));
-static int SubsetCountNodes ARGS((DdNode *node, st_table *table, int nvars));
-static void StoreNodes ARGS((st_table *storeTable, DdManager *dd, DdNode *node));
-static DdNode * BuildSubsetBdd ARGS((DdManager *dd, DdNode *node, int *size, st_table *visitedTable, int threshold, st_table *storeTable, st_table *approxTable));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis    [Extracts a dense subset from a BDD with the heavy branch
-  heuristic.]
-
-  Description [Extracts a dense subset from a BDD. This procedure
-  builds a subset by throwing away one of the children of each node,
-  starting from the root, until the result is small enough. The child
-  that is eliminated from the result is the one that contributes the
-  fewer minterms.  Returns a pointer to the BDD of the subset if
-  successful. NULL if the procedure runs out of memory. The parameter
-  numVars is the maximum number of variables to be used in minterm
-  calculation and node count calculation.  The optimal number should
-  be as close as possible to the size of the support of f.  However,
-  it is safe to pass the value returned by Cudd_ReadSize for numVars
-  when the number of variables is under 1023.  If numVars is larger
-  than 1023, it will overflow. If a 0 parameter is passed then the
-  procedure will compute a value which will avoid overflow but will
-  cause underflow with 2046 variables or more.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SubsetShortPaths Cudd_SupersetHeavyBranch Cudd_ReadSize]
-
-******************************************************************************/
-DdNode *
-Cudd_SubsetHeavyBranch(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be subset */,
-  int  numVars /* number of variables in the support of f */,
-  int  threshold /* maximum number of nodes in the subset */)
-{
-    DdNode *subset;
-
-    memOut = 0;
-    do {
-    dd->reordered = 0;
-    subset = cuddSubsetHeavyBranch(dd, f, numVars, threshold);
-    } while ((dd->reordered == 1) && (!memOut));
-
-    return(subset);
-
-} /* end of Cudd_SubsetHeavyBranch */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Extracts a dense superset from a BDD with the heavy branch
-  heuristic.]
-
-  Description [Extracts a dense superset from a BDD. The procedure is
-  identical to the subset procedure except for the fact that it
-  receives the complement of the given function. Extracting the subset
-  of the complement function is equivalent to extracting the superset
-  of the function. This procedure builds a superset by throwing away
-  one of the children of each node starting from the root of the
-  complement function, until the result is small enough. The child
-  that is eliminated from the result is the one that contributes the
-  fewer minterms.
-  Returns a pointer to the BDD of the superset if successful. NULL if
-  intermediate result causes the procedure to run out of memory. The
-  parameter numVars is the maximum number of variables to be used in
-  minterm calculation and node count calculation.  The optimal number
-  should be as close as possible to the size of the support of f.
-  However, it is safe to pass the value returned by Cudd_ReadSize for
-  numVars when the number of variables is under 1023.  If numVars is
-  larger than 1023, it will overflow. If a 0 parameter is passed then
-  the procedure will compute a value which will avoid overflow but
-  will cause underflow with 2046 variables or more.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SubsetHeavyBranch Cudd_SupersetShortPaths Cudd_ReadSize]
-
-******************************************************************************/
-DdNode *
-Cudd_SupersetHeavyBranch(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be superset */,
-  int  numVars /* number of variables in the support of f */,
-  int  threshold /* maximum number of nodes in the superset */)
-{
-    DdNode *subset, *g;
-
-    g = Cudd_Not(f);    
-    memOut = 0;
-    do {
-    dd->reordered = 0;
-    subset = cuddSubsetHeavyBranch(dd, g, numVars, threshold);
-    } while ((dd->reordered == 1) && (!memOut));
-    
-    return(Cudd_NotCond(subset, (subset != NULL)));
-    
-} /* end of Cudd_SupersetHeavyBranch */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [The main procedure that returns a subset by choosing the heavier
-  branch in the BDD.]
-
-  Description [Here a subset BDD is built by throwing away one of the
-  children. Starting at root, annotate each node with the number of
-  minterms (in terms of the total number of variables specified -
-  numVars), number of nodes taken by the DAG rooted at this node and
-  number of additional nodes taken by the child that has the lesser
-  minterms. The child with the lower number of minterms is thrown away
-  and a dyanmic count of the nodes of the subset is kept. Once the
-  threshold is reached the subset is returned to the calling
-  procedure.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SubsetHeavyBranch]
-
-******************************************************************************/
-DdNode *
-cuddSubsetHeavyBranch(
-  DdManager * dd /* DD manager */,
-  DdNode * f /* current DD */,
-  int  numVars /* maximum number of variables */,
-  int  threshold /* threshold size for the subset */)
-{
-
-    int i, *size;
-    st_table *visitedTable;
-    int numNodes;
-    NodeData_t *currNodeQual;
-    DdNode *subset;
-    double minN;
-    st_table *storeTable, *approxTable;
-    char *key, *value;
-    st_generator *stGen;
-    
-    if (f == NULL) {
-    fprintf(dd->err, "Cannot subset, nil object\n");
-    dd->errorCode = CUDD_INVALID_ARG;
-    return(NULL);
-    }
-
-    one     = Cudd_ReadOne(dd);
-    zero = Cudd_Not(one);
-
-    /* If user does not know numVars value, set it to the maximum
-     * exponent that the pow function can take. The -1 is due to the
-     * discrepancy in the value that pow takes and the value that
-     * log gives.
-     */
-    if (numVars == 0) {
-    /* set default value */
-    numVars = DBL_MAX_EXP - 1;
-    }
-
-    if (Cudd_IsConstant(f)) {
-    return(f);
-    }
-
-    max = pow(2.0, (double)numVars);
-
-    /* Create visited table where structures for node data are allocated and
-       stored in a st_table */
-    visitedTable = SubsetCountMinterm(f, numVars);
-    if ((visitedTable == NULL) || memOut) {
-    (void) fprintf(dd->err, "Out-of-memory; Cannot subset\n");
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    numNodes = SubsetCountNodes(f, visitedTable, numVars);
-    if (memOut) {
-    (void) fprintf(dd->err, "Out-of-memory; Cannot subset\n");
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-
-    if (st_lookup(visitedTable, (char *)f, (char **)&currNodeQual)) {
-    minN = *(((NodeData_t *)currNodeQual)->mintermPointer);
-    } else {
-    fprintf(dd->err,
-        "Something is wrong, ought to be node quality table\n");
-    dd->errorCode = CUDD_INTERNAL_ERROR;
-    }
-
-    size = ALLOC(int, 1);
-    if (size == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    *size = numNodes;
-
-#ifdef DEBUG
-    num_calls = 0;
-#endif
-    /* table to store nodes being created. */
-    storeTable = st_init_table(st_ptrcmp, st_ptrhash);
-    /* insert the constant */
-    cuddRef(one);
-    if (st_insert(storeTable, (char *)Cudd_ReadOne(dd), NIL(char)) ==
-    ST_OUT_OF_MEM) {
-    fprintf(dd->out, "Something wrong, st_table insert failed\n");
-    }
-    /* table to store approximations of nodes */
-    approxTable = st_init_table(st_ptrcmp, st_ptrhash);
-    subset = (DdNode *)BuildSubsetBdd(dd, f, size, visitedTable, threshold,
-                      storeTable, approxTable);
-    if (subset != NULL) {
-    cuddRef(subset);
-    }
-
-    stGen = st_init_gen(approxTable);
-    if (stGen == NULL) {
-    st_free_table(approxTable);
-    return(NULL);
-    }
-    while(st_gen(stGen, (char **)&key, (char **)&value)) {
-    Cudd_RecursiveDeref(dd, (DdNode *)value);
-    }
-    st_free_gen(stGen); stGen = NULL;
-    st_free_table(approxTable);
-
-    stGen = st_init_gen(storeTable);
-    if (stGen == NULL) {
-    st_free_table(storeTable);
-    return(NULL);
-    }
-    while(st_gen(stGen, (char **)&key, (char **)&value)) {
-    Cudd_RecursiveDeref(dd, (DdNode *)key);
-    }
-    st_free_gen(stGen); stGen = NULL;
-    st_free_table(storeTable);
-
-    for (i = 0; i <= page; i++) {
-    FREE(mintermPages[i]);
-    }
-    FREE(mintermPages);
-    for (i = 0; i <= page; i++) {
-    FREE(nodePages[i]);
-    }
-    FREE(nodePages);
-    for (i = 0; i <= page; i++) {
-    FREE(lightNodePages[i]);
-    }
-    FREE(lightNodePages);
-    for (i = 0; i <= nodeDataPage; i++) {
-    FREE(nodeDataPages[i]);
-    }
-    FREE(nodeDataPages);
-    st_free_table(visitedTable);
-    FREE(size);
-#if 0
-    (void) Cudd_DebugCheck(dd);
-    (void) Cudd_CheckKeys(dd);
-#endif
-
-    if (subset != NULL) {
-#ifdef DD_DEBUG
-      if (!Cudd_bddLeq(dd, subset, f)) {
-        fprintf(dd->err, "Wrong subset\n");
-        dd->errorCode = CUDD_INTERNAL_ERROR;
-        return(NULL);
-      }
-#endif
-        cuddDeref(subset);
-        return(subset);
-    } else {
-        return(NULL);
-    }
-} /* end of cuddSubsetHeavyBranch */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Resize the number of pages allocated to store the node data.]
-
-  Description [Resize the number of pages allocated to store the node data
-  The procedure  moves the counter to the next page when the end of
-  the page is reached and allocates new pages when necessary.]
-
-  SideEffects [Changes the size of pages, page, page index, maximum
-  number of pages freeing stuff in case of memory out. ]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-ResizeNodeDataPages(
-   )
-{
-    int i;
-    NodeData_t **newNodeDataPages;
-
-    nodeDataPage++;
-    /* If the current page index is larger than the number of pages
-     * allocated, allocate a new page array. Page numbers are incremented by
-     * INITIAL_PAGES
-     */
-    if (nodeDataPage == maxNodeDataPages) {
-    newNodeDataPages = ALLOC(NodeData_t *,maxNodeDataPages + INITIAL_PAGES);
-    if (newNodeDataPages == NULL) {
-        for (i = 0; i < nodeDataPage; i++) FREE(nodeDataPages[i]);
-        FREE(nodeDataPages);
-        memOut = 1;
-        return;
-    } else {
-        for (i = 0; i < maxNodeDataPages; i++) {
-        newNodeDataPages[i] = nodeDataPages[i];
-        }
-        /* Increase total page count */
-        maxNodeDataPages += INITIAL_PAGES;
-        FREE(nodeDataPages);
-        nodeDataPages = newNodeDataPages;
-    }
-    }
-    /* Allocate a new page */
-    currentNodeDataPage = nodeDataPages[nodeDataPage] =
-    ALLOC(NodeData_t ,nodeDataPageSize);
-    if (currentNodeDataPage == NULL) {
-    for (i = 0; i < nodeDataPage; i++) FREE(nodeDataPages[i]);
-    FREE(nodeDataPages);
-    memOut = 1;
-    return;
-    }
-    /* reset page index */
-    nodeDataPageIndex = 0;
-    return;
-
-} /* end of ResizeNodeDataPages */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Resize the number of pages allocated to store the minterm
-  counts. ]
-
-  Description [Resize the number of pages allocated to store the minterm
-  counts.  The procedure  moves the counter to the next page when the
-  end of the page is reached and allocates new pages when necessary.]
-
-  SideEffects [Changes the size of minterm pages, page, page index, maximum 
-  number of pages freeing stuff in case of memory out. ]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-ResizeCountMintermPages(
-   )
-{
-    int i;
-    double **newMintermPages;
-
-    page++;
-    /* If the current page index is larger than the number of pages
-     * allocated, allocate a new page array. Page numbers are incremented by
-     * INITIAL_PAGES
-     */
-    if (page == maxPages) {
-    newMintermPages = ALLOC(double *,maxPages + INITIAL_PAGES);
-    if (newMintermPages == NULL) {
-        for (i = 0; i < page; i++) FREE(mintermPages[i]);
-        FREE(mintermPages);
-        memOut = 1;
-        return;
-    } else {
-        for (i = 0; i < maxPages; i++) {
-        newMintermPages[i] = mintermPages[i];
-        }
-        /* Increase total page count */
-        maxPages += INITIAL_PAGES;
-        FREE(mintermPages);
-        mintermPages = newMintermPages;
-    }
-    }
-    /* Allocate a new page */
-    currentMintermPage = mintermPages[page] = ALLOC(double,pageSize);
-    if (currentMintermPage == NULL) {
-    for (i = 0; i < page; i++) FREE(mintermPages[i]);
-    FREE(mintermPages);
-    memOut = 1;
-    return;
-    }
-    /* reset page index */
-    pageIndex = 0;
-    return;
-
-} /* end of ResizeCountMintermPages */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Resize the number of pages allocated to store the node counts.]
-
-  Description [Resize the number of pages allocated to store the node counts.
-  The procedure  moves the counter to the next page when the end of
-  the page is reached and allocates new pages when necessary.]
-
-  SideEffects [Changes the size of pages, page, page index, maximum
-  number of pages freeing stuff in case of memory out.]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-ResizeCountNodePages(
-   )
-{
-    int i;
-    int **newNodePages;
-
-    page++;
-
-    /* If the current page index is larger than the number of pages
-     * allocated, allocate a new page array. The number of pages is incremented
-     * by INITIAL_PAGES.
-     */
-    if (page == maxPages) {
-    newNodePages = ALLOC(int *,maxPages + INITIAL_PAGES);
-    if (newNodePages == NULL) {
-        for (i = 0; i < page; i++) FREE(nodePages[i]);
-        FREE(nodePages);
-        for (i = 0; i < page; i++) FREE(lightNodePages[i]);
-        FREE(lightNodePages);
-        memOut = 1;
-        return;
-    } else {
-        for (i = 0; i < maxPages; i++) {
-        newNodePages[i] = nodePages[i];
-        }
-        FREE(nodePages);
-        nodePages = newNodePages;
-    }
-
-    newNodePages = ALLOC(int *,maxPages + INITIAL_PAGES);
-    if (newNodePages == NULL) {
-        for (i = 0; i < page; i++) FREE(nodePages[i]);
-        FREE(nodePages);
-        for (i = 0; i < page; i++) FREE(lightNodePages[i]);
-        FREE(lightNodePages);
-        memOut = 1;
-        return;
-    } else {
-        for (i = 0; i < maxPages; i++) {
-        newNodePages[i] = lightNodePages[i];
-        }
-        FREE(lightNodePages);
-        lightNodePages = newNodePages;
-    }
-    /* Increase total page count */
-    maxPages += INITIAL_PAGES;
-    }
-    /* Allocate a new page */
-    currentNodePage = nodePages[page] = ALLOC(int,pageSize);
-    if (currentNodePage == NULL) {
-    for (i = 0; i < page; i++) FREE(nodePages[i]);
-    FREE(nodePages);
-    for (i = 0; i < page; i++) FREE(lightNodePages[i]);
-    FREE(lightNodePages);
-    memOut = 1;
-    return;
-    }
-    /* Allocate a new page */
-    currentLightNodePage = lightNodePages[page] = ALLOC(int,pageSize);
-    if (currentLightNodePage == NULL) {
-    for (i = 0; i <= page; i++) FREE(nodePages[i]);
-    FREE(nodePages);
-    for (i = 0; i < page; i++) FREE(lightNodePages[i]);
-    FREE(lightNodePages);
-    memOut = 1;
-    return;
-    }
-    /* reset page index */
-    pageIndex = 0;
-    return;
-
-} /* end of ResizeCountNodePages */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Recursively counts minterms of each node in the DAG.]
-
-  Description [Recursively counts minterms of each node in the DAG.
-  Similar to the cuddCountMintermAux which recursively counts the
-  number of minterms for the dag rooted at each node in terms of the
-  total number of variables (max). This procedure creates the node
-  data structure and stores the minterm count as part of the node
-  data structure. ]
-
-  SideEffects [Creates structures of type node quality and fills the st_table]
-
-  SeeAlso     [SubsetCountMinterm]
-
-******************************************************************************/
-static double
-SubsetCountMintermAux(
-  DdNode * node /* function to analyze */,
-  double  max /* number of minterms of constant 1 */,
-  st_table * table /* visitedTable table */)
-{
-
-    DdNode    *N,*Nv,*Nnv; /* nodes to store cofactors  */
-    double    min,*pmin; /* minterm count */
-    double    min1, min2; /* minterm count */
-    NodeData_t *dummy;
-    NodeData_t *newEntry;
-    int i;
-
-#ifdef DEBUG
-    num_calls++;
-#endif
-
-    /* Constant case */
-    if (Cudd_IsConstant(node)) {
-    if (node == zero) {
-        return(0.0);
-    } else {
-        return(max);
-    }
-    } else {
-
-    /* check if entry for this node exists */
-    if (st_lookup(table,(char *)node, (char **)&dummy)) {
-        min = *(dummy->mintermPointer);
-        return(min);
-    }
-
-    /* Make the node regular to extract cofactors */
-    N = Cudd_Regular(node);
-
-    /* store the cofactors */
-    Nv = Cudd_T(N);
-    Nnv = Cudd_E(N);
-    
-    Nv = Cudd_NotCond(Nv, Cudd_IsComplement(node));
-    Nnv = Cudd_NotCond(Nnv, Cudd_IsComplement(node));
-
-    min1 =  SubsetCountMintermAux(Nv, max,table)/2.0;
-    if (memOut) return(0.0);
-    min2 =  SubsetCountMintermAux(Nnv,max,table)/2.0;
-    if (memOut) return(0.0);
-    min = (min1+min2);
-
-    /* if page index is at the bottom, then create a new page */
-    if (pageIndex == pageSize) ResizeCountMintermPages();
-    if (memOut) {
-        for (i = 0; i <= nodeDataPage; i++) FREE(nodeDataPages[i]);
-        FREE(nodeDataPages);
-        st_free_table(table);
-        return(0.0);
-    }
-
-    /* point to the correct location in the page */
-    pmin = currentMintermPage+pageIndex;
-    pageIndex++;
-
-    /* store the minterm count of this node in the page */
-    *pmin = min;
-
-    /* Note I allocate the struct here. Freeing taken care of later */
-    if (nodeDataPageIndex == nodeDataPageSize) ResizeNodeDataPages();
-    if (memOut) {
-        for (i = 0; i <= page; i++) FREE(mintermPages[i]);
-        FREE(mintermPages);
-        st_free_table(table);
-        return(0.0);
-    }
-
-    newEntry = currentNodeDataPage + nodeDataPageIndex;
-    nodeDataPageIndex++;
-
-    /* points to the correct location in the page */
-    newEntry->mintermPointer = pmin;
-    /* initialize this field of the Node Quality structure */
-    newEntry->nodesPointer = NULL;
-
-    /* insert entry for the node in the table */
-    if (st_insert(table,(char *)node, (char *)newEntry) == ST_OUT_OF_MEM) {
-        memOut = 1;
-        for (i = 0; i <= page; i++) FREE(mintermPages[i]);
-        FREE(mintermPages);
-        for (i = 0; i <= nodeDataPage; i++) FREE(nodeDataPages[i]);
-        FREE(nodeDataPages);
-        st_free_table(table);
-        return(0.0);
-    }
-    return(min);
-    }
-
-} /* end of SubsetCountMintermAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts minterms of each node in the DAG]
-
-  Description [Counts minterms of each node in the DAG. Similar to the
-  Cudd_CountMinterm procedure except this returns the minterm count for
-  all the nodes in the bdd in an st_table.]
-
-  SideEffects [none]
-
-  SeeAlso     [SubsetCountMintermAux]
-
-******************************************************************************/
-static st_table *
-SubsetCountMinterm(
-  DdNode * node /* function to be analyzed */,
-  int nvars /* number of variables node depends on */)
-{
-    st_table    *table;
-    double    num;
-    int i;
-
-
-#ifdef DEBUG
-    num_calls = 0;
-#endif
-
-    max = pow(2.0,(double) nvars);
-    table = st_init_table(st_ptrcmp,st_ptrhash);
-    if (table == NULL) goto OUT_OF_MEM;
-    maxPages = INITIAL_PAGES;
-    mintermPages = ALLOC(double *,maxPages);
-    if (mintermPages == NULL) {
-    st_free_table(table);
-    goto OUT_OF_MEM;
-    }
-    page = 0;
-    currentMintermPage = ALLOC(double,pageSize);
-    mintermPages[page] = currentMintermPage;
-    if (currentMintermPage == NULL) {
-    FREE(mintermPages);
-    st_free_table(table);
-    goto OUT_OF_MEM;
-    }
-    pageIndex = 0;
-    maxNodeDataPages = INITIAL_PAGES;
-    nodeDataPages = ALLOC(NodeData_t *, maxNodeDataPages);
-    if (nodeDataPages == NULL) {
-    for (i = 0; i <= page ; i++) FREE(mintermPages[i]);
-    FREE(mintermPages);
-    st_free_table(table);
-    goto OUT_OF_MEM;
-    }
-    nodeDataPage = 0;
-    currentNodeDataPage = ALLOC(NodeData_t ,nodeDataPageSize);
-    nodeDataPages[nodeDataPage] = currentNodeDataPage;
-    if (currentNodeDataPage == NULL) {
-    for (i = 0; i <= page ; i++) FREE(mintermPages[i]);
-    FREE(mintermPages);
-    FREE(nodeDataPages);
-    st_free_table(table);
-    goto OUT_OF_MEM;
-    }
-    nodeDataPageIndex = 0;
-
-    num = SubsetCountMintermAux(node,max,table);
-    if (memOut) goto OUT_OF_MEM;
-    return(table);
-
-OUT_OF_MEM:
-    memOut = 1;
-    return(NULL);
-
-} /* end of SubsetCountMinterm */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Recursively counts the number of nodes under the dag.
-  Also counts the number of nodes under the lighter child of
-  this node.]
-
-  Description [Recursively counts the number of nodes under the dag.
-  Also counts the number of nodes under the lighter child of
-  this node. . Note that the same dag may be the lighter child of two
-  different nodes and have different counts. As with the minterm counts,
-  the node counts are stored in pages to be space efficient and the
-  address for these node counts are stored in an st_table associated
-  to each node. ]
-
-  SideEffects [Updates the node data table with node counts]
-
-  SeeAlso     [SubsetCountNodes]
-
-******************************************************************************/
-static int
-SubsetCountNodesAux(
-  DdNode * node /* current node */,
-  st_table * table /* table to update node count, also serves as visited table. */,
-  double  max /* maximum number of variables */)
-{
-    int tval, eval, i;
-    DdNode *N, *Nv, *Nnv;
-    double minNv, minNnv;
-    NodeData_t *dummyN, *dummyNv, *dummyNnv, *dummyNBar;
-    int *pmin, *pminBar, *val;
-
-    if ((node == NULL) || Cudd_IsConstant(node))
-    return(0);
-
-    /* if this node has been processed do nothing */
-    if (st_lookup(table, (char *)node, (char **)&dummyN) == 1) {
-    val = dummyN->nodesPointer;
-    if (val != NULL)
-        return(0);
-    } else {
-    return(0);
-    }
-
-    N  = Cudd_Regular(node);
-    Nv = Cudd_T(N);
-    Nnv = Cudd_E(N);
-    
-    Nv = Cudd_NotCond(Nv, Cudd_IsComplement(node));
-    Nnv = Cudd_NotCond(Nnv, Cudd_IsComplement(node));
-
-    /* find the minterm counts for the THEN and ELSE branches */
-    if (Cudd_IsConstant(Nv)) {
-    if (Nv == zero) {
-        minNv = 0.0;
-    } else {
-        minNv = max;
-    }
-    } else {
-    if (st_lookup(table, (char *)Nv, (char **)&dummyNv) == 1)
-        minNv = *(dummyNv->mintermPointer);
-    else {
-        return(0);
-    }
-    }
-    if (Cudd_IsConstant(Nnv)) {
-    if (Nnv == zero) {
-        minNnv = 0.0;
-    } else {
-        minNnv = max;
-    }
-    } else {
-    if (st_lookup(table, (char *)Nnv, (char **)&dummyNnv) == 1) {
-        minNnv = *(dummyNnv->mintermPointer);
-    }
-    else {
-        return(0);
-    }
-    }
-
-
-    /* recur based on which has larger minterm, */
-    if (minNv >= minNnv) {
-    tval = SubsetCountNodesAux(Nv, table, max);
-    if (memOut) return(0);
-    eval = SubsetCountNodesAux(Nnv, table, max);
-    if (memOut) return(0);
-
-    /* store the node count of the lighter child. */
-    if (pageIndex == pageSize) ResizeCountNodePages();
-    if (memOut) {
-        for (i = 0; i <= page; i++) FREE(mintermPages[i]);
-        FREE(mintermPages);
-        for (i = 0; i <= nodeDataPage; i++) FREE(nodeDataPages[i]);
-        FREE(nodeDataPages);
-        st_free_table(table);
-        return(0);
-    }
-    pmin = currentLightNodePage + pageIndex;
-    *pmin = eval; /* Here the ELSE child is lighter */
-    dummyN->lightChildNodesPointer = pmin;
-
-    } else {
-    eval = SubsetCountNodesAux(Nnv, table, max);
-    if (memOut) return(0);
-    tval = SubsetCountNodesAux(Nv, table, max);
-    if (memOut) return(0);
-
-    /* store the node count of the lighter child. */
-    if (pageIndex == pageSize) ResizeCountNodePages();
-    if (memOut) {
-        for (i = 0; i <= page; i++) FREE(mintermPages[i]);
-        FREE(mintermPages);
-        for (i = 0; i <= nodeDataPage; i++) FREE(nodeDataPages[i]);
-        FREE(nodeDataPages);
-        st_free_table(table);
-        return(0);
-    }
-    pmin = currentLightNodePage + pageIndex;
-    *pmin = tval; /* Here the THEN child is lighter */
-    dummyN->lightChildNodesPointer = pmin;
-
-    }
-    /* updating the page index for node count storage. */
-    pmin = currentNodePage + pageIndex;
-    *pmin = tval + eval + 1;
-    dummyN->nodesPointer = pmin;
-
-    /* pageIndex is parallel page index for count_nodes and count_lightNodes */
-    pageIndex++;
-
-    /* if this node has been reached first, it belongs to a heavier
-       branch. Its complement will be reached later on a lighter branch.
-       Hence the complement has zero node count. */
-
-    if (st_lookup(table, (char *)Cudd_Not(node), (char **)&dummyNBar) == 1)  {
-    if (pageIndex == pageSize) ResizeCountNodePages();
-    if (memOut) {
-        for (i = 0; i < page; i++) FREE(mintermPages[i]);
-        FREE(mintermPages);
-        for (i = 0; i < nodeDataPage; i++) FREE(nodeDataPages[i]);
-        FREE(nodeDataPages);
-        st_free_table(table);
-        return(0);
-    }
-    pminBar = currentLightNodePage + pageIndex;
-    *pminBar = 0;
-    dummyNBar->lightChildNodesPointer = pminBar;
-    /* The lighter child has less nodes than the parent.
-     * So if parent 0 then lighter child zero
-     */
-    if (pageIndex == pageSize) ResizeCountNodePages();
-    if (memOut) {
-        for (i = 0; i < page; i++) FREE(mintermPages[i]);
-        FREE(mintermPages);
-        for (i = 0; i < nodeDataPage; i++) FREE(nodeDataPages[i]);
-        FREE(nodeDataPages);
-        st_free_table(table);
-        return(0);
-    }
-    pminBar = currentNodePage + pageIndex;
-    *pminBar = 0;
-    dummyNBar->nodesPointer = pminBar ; /* maybe should point to zero */
-
-    pageIndex++;
-    }
-    return(*pmin);
-} /*end of SubsetCountNodesAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts the nodes under the current node and its lighter child]
-
-  Description [Counts the nodes under the current node and its lighter
-  child. Calls a recursive procedure to count the number of nodes of
-  a DAG rooted at a particular node and the number of nodes taken by its
-  lighter child.]
-
-  SideEffects [None]
-
-  SeeAlso     [SubsetCountNodesAux]
-
-******************************************************************************/
-static int
-SubsetCountNodes(
-  DdNode * node /* function to be analyzed */,
-  st_table * table /* node quality table */,
-  int  nvars /* number of variables node depends on */)
-{
-    int    num;
-    int i;
-
-#ifdef DEBUG
-    num_calls = 0;
-#endif
-
-    max = pow(2.0,(double) nvars);
-    maxPages = INITIAL_PAGES;
-    nodePages = ALLOC(int *,maxPages);
-    if (nodePages == NULL)  {
-    goto OUT_OF_MEM;
-    }
-
-    lightNodePages = ALLOC(int *,maxPages);
-    if (lightNodePages == NULL) {
-    for (i = 0; i <= page; i++) FREE(mintermPages[i]);
-    FREE(mintermPages);
-    for (i = 0; i <= nodeDataPage; i++) FREE(nodeDataPages[i]);
-    FREE(nodeDataPages);
-    FREE(nodePages);
-    goto OUT_OF_MEM;
-    }
-
-    page = 0;
-    currentNodePage = nodePages[page] = ALLOC(int,pageSize);
-    if (currentNodePage == NULL) {
-    for (i = 0; i <= page; i++) FREE(mintermPages[i]);
-    FREE(mintermPages);
-    for (i = 0; i <= nodeDataPage; i++) FREE(nodeDataPages[i]);
-    FREE(nodeDataPages);
-    FREE(lightNodePages);
-    FREE(nodePages);
-    goto OUT_OF_MEM;
-    }
-
-    currentLightNodePage = lightNodePages[page] = ALLOC(int,pageSize);
-    if (currentLightNodePage == NULL) {
-    for (i = 0; i <= page; i++) FREE(mintermPages[i]);
-    FREE(mintermPages);
-    for (i = 0; i <= nodeDataPage; i++) FREE(nodeDataPages[i]);
-    FREE(nodeDataPages);
-    FREE(currentNodePage);
-    FREE(lightNodePages);
-    FREE(nodePages);
-    goto OUT_OF_MEM;
-    }
-
-    pageIndex = 0;
-    num = SubsetCountNodesAux(node,table,max);
-    if (memOut) goto OUT_OF_MEM;
-    return(num);
-
-OUT_OF_MEM:
-    memOut = 1;
-    return(0);
-
-} /* end of SubsetCountNodes */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Procedure to recursively store nodes that are retained in the subset.]
-
-  Description [rocedure to recursively store nodes that are retained in the subset.]
-
-  SideEffects [None]
-
-  SeeAlso     [StoreNodes]
-
-******************************************************************************/
-static void
-StoreNodes(
-  st_table * storeTable,
-  DdManager * dd,
-  DdNode * node)
-{
-    char *dummy;
-    DdNode *N, *Nt, *Ne;
-    if (Cudd_IsConstant(dd)) {
-    return;
-    }
-    N = Cudd_Regular(node);
-    if (st_lookup(storeTable, (char *)N, (char **)&dummy)) {
-    return;
-    }
-    cuddRef(N);
-    if (st_insert(storeTable, (char *)N, NIL(char)) == ST_OUT_OF_MEM) {
-    fprintf(dd->err,"Something wrong, st_table insert failed\n");
-    }
-
-    Nt = Cudd_T(N);
-    Ne = Cudd_E(N);
-
-    StoreNodes(storeTable, dd, Nt);
-    StoreNodes(storeTable, dd, Ne);
-    return;
-
-}
-
-
-/**Function********************************************************************
-
-  Synopsis    [Builds the subset BDD using the heavy branch method.] 
-
-  Description [The procedure carries out the building of the subset BDD
-  starting at the root. Using the three different counts labelling each node,
-  the procedure chooses the heavier branch starting from the root and keeps
-  track of the number of nodes it discards at each step, thus keeping count
-  of the size of the subset BDD dynamically. Once the threshold is satisfied,
-  the procedure then calls ITE to build the BDD.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static DdNode *
-BuildSubsetBdd(
-  DdManager * dd /* DD manager */,
-  DdNode * node /* current node */,
-  int * size /* current size of the subset */,
-  st_table * visitedTable /* visited table storing all node data */,
-  int  threshold,
-  st_table * storeTable,
-  st_table * approxTable)
-{
-
-    DdNode *Nv, *Nnv, *N, *topv, *neW;
-    double minNv, minNnv;
-    NodeData_t *currNodeQual;
-    NodeData_t *currNodeQualT;
-    NodeData_t *currNodeQualE;
-    DdNode *ThenBranch, *ElseBranch;
-    unsigned int topid;
-    char *dummy;
-
-#ifdef DEBUG
-    num_calls++;
-#endif
-    /*If the size of the subset is below the threshold, dont do
-      anything. */
-    if ((*size) <= threshold) {
-      /* store nodes below this, so we can recombine if possible */
-      StoreNodes(storeTable, dd, node);
-      return(node);
-    }
-
-    if (Cudd_IsConstant(node))
-    return(node);
-
-    /* Look up minterm count for this node. */
-    if (!st_lookup(visitedTable, (char *)node, (char **)&currNodeQual)) {
-    fprintf(dd->err,
-        "Something is wrong, ought to be in node quality table\n");
-    }
-
-    /* Get children. */
-    N = Cudd_Regular(node);
-    Nv = Cudd_T(N);
-    Nnv = Cudd_E(N);
-
-    /* complement if necessary */
-    Nv = Cudd_NotCond(Nv, Cudd_IsComplement(node));
-    Nnv = Cudd_NotCond(Nnv, Cudd_IsComplement(node));
-
-    if (!Cudd_IsConstant(Nv)) {
-        /* find out minterms and nodes contributed by then child */
-        if (!st_lookup(visitedTable, (char *)Nv,
-               (char **)&currNodeQualT)) {
-        fprintf(dd->out,"Something wrong, couldnt find nodes in node quality table\n");
-        dd->errorCode = CUDD_INTERNAL_ERROR;
-        return(NULL);
-        }
-    else {
-        minNv = *(((NodeData_t *)currNodeQualT)->mintermPointer);
-    }
-    } else {
-    if (Nv == zero) {
-        minNv = 0;
-    } else  {
-        minNv = max;
-    }
-    }
-    if (!Cudd_IsConstant(Nnv)) {
-        /* find out minterms and nodes contributed by else child */
-    if (!st_lookup(visitedTable, (char *)Nnv, (char **)&currNodeQualE)) {
-        fprintf(dd->out,"Something wrong, couldnt find nodes in node quality table\n");
-        dd->errorCode = CUDD_INTERNAL_ERROR;
-        return(NULL);
-    } else {
-        minNnv = *(((NodeData_t *)currNodeQualE)->mintermPointer);
-    }
-    } else {
-    if (Nnv == zero) {
-        minNnv = 0;
-    } else {
-        minNnv = max;
-    }
-    }
-
-    /* keep track of size of subset by subtracting the number of
-     * differential nodes contributed by lighter child
-     */
-    *size = (*(size)) - (int)*(currNodeQual->lightChildNodesPointer);
-    if (minNv >= minNnv) { /*SubsetCountNodesAux procedure takes
-                 the Then branch in case of a tie */
-
-        /* recur with the Then branch */
-    ThenBranch = (DdNode *)BuildSubsetBdd(dd, Nv, size,
-          visitedTable, threshold, storeTable, approxTable);
-    if (ThenBranch == NULL) {
-        return(NULL);
-    }
-    cuddRef(ThenBranch);
-    /* The Else branch is either a node that already exists in the
-     * subset, or one whose approximation has been computed, or
-     * Zero.
-     */
-    if (st_lookup(storeTable, (char *)Cudd_Regular(Nnv), (char **)&dummy)) {
-      ElseBranch = Nnv;
-      cuddRef(ElseBranch);
-    } else {
-      if (st_lookup(approxTable, (char *)Nnv, (char **)&dummy)) {
-        ElseBranch = (DdNode *)dummy;
-        cuddRef(ElseBranch);
-      } else {
-        ElseBranch = zero;
-        cuddRef(ElseBranch);
-      }
-    }
-    
-    }
-    else {
-        /* recur with the Else branch */
-        ElseBranch = (DdNode *)BuildSubsetBdd(dd, Nnv, size,
-              visitedTable, threshold, storeTable, approxTable);
-    if (ElseBranch == NULL) {
-        return(NULL);
-    }
-    cuddRef(ElseBranch);
-    /* The Then branch is either a node that already exists in the
-     * subset, or one whose approximation has been computed, or
-     * Zero.
-     */
-    if (st_lookup(storeTable, (char *)Cudd_Regular(Nv), (char **)&dummy)) {
-      ThenBranch = Nv;
-      cuddRef(ThenBranch);
-    } else {
-      if (st_lookup(approxTable, (char *)Nv, (char **)&dummy)) {
-        ThenBranch = (DdNode *)dummy;
-        cuddRef(ThenBranch);
-      } else {
-        ThenBranch = zero;
-        cuddRef(ThenBranch);
-      }
-    }
-    }
-
-    /* construct the Bdd with the top variable and the two children */
-    topid = Cudd_NodeReadIndex(N);
-    topv = Cudd_ReadVars(dd, topid);
-    cuddRef(topv);
-    neW =  cuddBddIteRecur(dd, topv, ThenBranch, ElseBranch);
-    if (neW != NULL) {
-      cuddRef(neW);
-    }
-    Cudd_RecursiveDeref(dd, topv);
-    Cudd_RecursiveDeref(dd, ThenBranch);
-    Cudd_RecursiveDeref(dd, ElseBranch);
-
-      
-    if (neW == NULL)
-    return(NULL);
-    else {
-        /* store this node in the store table */
-        if (!st_lookup(storeTable, (char *)Cudd_Regular(neW), (char **)&dummy)) {
-      cuddRef(neW);
-      st_insert(storeTable, (char *)Cudd_Regular(neW), (char *)NIL(char));
-      
-        }
-    /* store the approximation for this node */
-    if (N !=  Cudd_Regular(neW)) {
-          if (st_lookup(approxTable, (char *)node, (char **)&dummy)) {
-            fprintf(dd->err, "This node should not be in the approximated table\n");
-        } else {
-            cuddRef(neW);
-            st_insert(approxTable, (char *)node, (char *)neW);
-        }
-    }
-        cuddDeref(neW);
-        return(neW);
-    }
-} /* end of BuildSubsetBdd */
-
diff --git a/src/bdd/cudd/cuddSubsetSP.c b/src/bdd/cudd/cuddSubsetSP.c
deleted file mode 100644
index 55ee3470..00000000
--- a/src/bdd/cudd/cuddSubsetSP.c
+++ /dev/null
@@ -1,1624 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddSubsetSP.c]
-
-  PackageName [cudd]
-
-  Synopsis [Procedure to subset the given BDD choosing the shortest paths
-            (largest cubes) in the BDD.]
-
-
-  Description  [External procedures included in this module:
-        <ul>
-        <li> Cudd_SubsetShortPaths()
-        <li> Cudd_SupersetShortPaths()
-        </ul>
-        Internal procedures included in this module:
-        <ul>
-        <li> cuddSubsetShortPaths()
-        </ul> 
-        Static procedures included in this module:
-        <ul>
-        <li> BuildSubsetBdd()
-        <li> CreatePathTable()
-        <li> AssessPathLength()
-        <li> CreateTopDist()
-        <li> CreateBotDist()
-        <li> ResizeNodeDistPages()
-        <li> ResizeQueuePages()
-        <li> stPathTableDdFree()
-        </ul>
-        ]
-
-  SeeAlso     [cuddSubsetHB.c]
-
-  Author      [Kavita Ravi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#define DEFAULT_PAGE_SIZE 2048 /* page size to store the BFS queue element type */
-#define DEFAULT_NODE_DIST_PAGE_SIZE 2048 /*  page sizesto store NodeDist_t type */
-#define MAXSHORTINT        ((DdHalfWord) ~0) /* constant defined to store
-                       * maximum distance of a node
-                       * from the root or the
-                       * constant
-                       */
-#define INITIAL_PAGES 128 /* number of initial pages for the
-               * queue/NodeDist_t type */
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/* structure created to store subset results for each node and distances with 
- * odd and even parity of the node from the root and sink. Main data structure
- * in this procedure.
- */
-struct NodeDist{
-    DdHalfWord oddTopDist;
-    DdHalfWord evenTopDist;
-    DdHalfWord oddBotDist;
-    DdHalfWord evenBotDist;
-    DdNode *regResult;
-    DdNode *compResult;
-};
-
-/* assorted information needed by the BuildSubsetBdd procedure. */
-struct AssortedInfo {
-    unsigned int maxpath;
-    int findShortestPath;
-    int thresholdReached;
-    st_table *maxpathTable;
-    int threshold;
-};
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-typedef struct NodeDist NodeDist_t;
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddSubsetSP.c,v 1.1.1.1 2003/02/24 22:23:53 wjiang Exp $";
-#endif
-
-#ifdef DD_DEBUG
-static int numCalls;
-static int hits;
-static int thishit;
-#endif
-
-
-static     int         memOut; /* flag to indicate out of memory */
-static  DdNode          *zero, *one; /* constant functions */
-
-static  NodeDist_t      **nodeDistPages; /* pointers to the pages */
-static    int        nodeDistPageIndex; /* index to next element */
-static    int        nodeDistPage; /* index to current page */
-static    int        nodeDistPageSize = DEFAULT_NODE_DIST_PAGE_SIZE; /* page size */
-static    int        maxNodeDistPages; /* number of page pointers */
-static  NodeDist_t      *currentNodeDistPage; /* current page */
-
-static  DdNode          ***queuePages; /* pointers to the pages */
-static    int        queuePageIndex;    /* index to next element */
-static    int        queuePage; /* index to current page */
-static    int        queuePageSize = DEFAULT_PAGE_SIZE; /* page size */
-static    int        maxQueuePages; /* number of page pointers */
-static  DdNode          **currentQueuePage; /* current page */
-
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static void ResizeNodeDistPages ARGS(());
-static void ResizeQueuePages ARGS(());
-static void CreateTopDist ARGS((st_table *pathTable, int parentPage, int parentQueueIndex, int topLen, DdNode **childPage, int childQueueIndex, int numParents, FILE *fp));
-static int CreateBotDist ARGS((DdNode *node, st_table *pathTable, unsigned int *pathLengthArray, FILE *fp));
-static st_table * CreatePathTable ARGS((DdNode *node, unsigned int *pathLengthArray, FILE *fp));
-static unsigned int AssessPathLength ARGS((unsigned int *pathLengthArray, int threshold, int numVars, unsigned int *excess, FILE *fp));
-static DdNode * BuildSubsetBdd ARGS((DdManager *dd, st_table *pathTable, DdNode *node, struct AssortedInfo *info, st_table *subsetNodeTable));
-static enum st_retval stPathTableDdFree ARGS((char *key, char *value, char *arg));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of Exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Extracts a dense subset from a BDD with the shortest paths
-  heuristic.]
-
-  Description [Extracts a dense subset from a BDD.  This procedure
-  tries to preserve the shortest paths of the input BDD, because they
-  give many minterms and contribute few nodes.  This procedure may
-  increase the number of nodes in trying to create the subset or
-  reduce the number of nodes due to recombination as compared to the
-  original BDD. Hence the threshold may not be strictly adhered to. In
-  practice, recombination overshadows the increase in the number of
-  nodes and results in small BDDs as compared to the threshold. The
-  hardlimit specifies whether threshold needs to be strictly adhered
-  to. If it is set to 1, the procedure ensures that result is never
-  larger than the specified limit but may be considerably less than
-  the threshold.  Returns a pointer to the BDD for the subset if
-  successful; NULL otherwise.  The value for numVars should be as
-  close as possible to the size of the support of f for better
-  efficiency. However, it is safe to pass the value returned by
-  Cudd_ReadSize for numVars. If 0 is passed, then the value returned
-  by Cudd_ReadSize is used.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SupersetShortPaths Cudd_SubsetHeavyBranch Cudd_ReadSize]
-
-******************************************************************************/
-DdNode *
-Cudd_SubsetShortPaths(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be subset */,
-  int  numVars /* number of variables in the support of f */,
-  int  threshold /* maximum number of nodes in the subset */,
-  int  hardlimit /* flag: 1 if threshold is a hard limit */)
-{
-    DdNode *subset;
-
-    memOut = 0;
-    do {
-    dd->reordered = 0;
-    subset = cuddSubsetShortPaths(dd, f, numVars, threshold, hardlimit);
-    } while((dd->reordered ==1) && (!memOut));
-
-    return(subset);
-
-} /* end of Cudd_SubsetShortPaths */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Extracts a dense superset from a BDD with the shortest paths
-  heuristic.]
-
-  Description [Extracts a dense superset from a BDD.  The procedure is
-  identical to the subset procedure except for the fact that it
-  receives the complement of the given function. Extracting the subset
-  of the complement function is equivalent to extracting the superset
-  of the function.  This procedure tries to preserve the shortest
-  paths of the complement BDD, because they give many minterms and
-  contribute few nodes.  This procedure may increase the number of
-  nodes in trying to create the superset or reduce the number of nodes
-  due to recombination as compared to the original BDD. Hence the
-  threshold may not be strictly adhered to. In practice, recombination
-  overshadows the increase in the number of nodes and results in small
-  BDDs as compared to the threshold.  The hardlimit specifies whether
-  threshold needs to be strictly adhered to. If it is set to 1, the
-  procedure ensures that result is never larger than the specified
-  limit but may be considerably less than the threshold. Returns a
-  pointer to the BDD for the superset if successful; NULL
-  otherwise. The value for numVars should be as close as possible to
-  the size of the support of f for better efficiency.  However, it is
-  safe to pass the value returned by Cudd_ReadSize for numVar.  If 0
-  is passed, then the value returned by Cudd_ReadSize is used.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SubsetShortPaths Cudd_SupersetHeavyBranch Cudd_ReadSize]
-
-******************************************************************************/
-DdNode *
-Cudd_SupersetShortPaths(
-  DdManager * dd /* manager */,
-  DdNode * f /* function to be superset */,
-  int  numVars /* number of variables in the support of f */,
-  int  threshold /* maximum number of nodes in the subset */,
-  int  hardlimit /* flag: 1 if threshold is a hard limit */)
-{
-    DdNode *subset, *g;
-
-    g = Cudd_Not(f);
-    memOut = 0;
-    do {
-    dd->reordered = 0;
-    subset = cuddSubsetShortPaths(dd, g, numVars, threshold, hardlimit);
-    } while((dd->reordered ==1) && (!memOut));
-
-    return(Cudd_NotCond(subset, (subset != NULL)));
-
-} /* end of Cudd_SupersetShortPaths */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [The outermost procedure to return a subset of the given BDD
-  with the shortest path lengths.]
-
-  Description [The outermost procedure to return a subset of the given
-  BDD with the largest cubes. The path lengths are calculated, the maximum
-  allowable path length is determined and the number of nodes of this
-  path length that can be used to build a subset. If the threshold is
-  larger than the size of the original BDD, the original BDD is
-  returned. ]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SubsetShortPaths]
-
-******************************************************************************/
-DdNode *
-cuddSubsetShortPaths(
-  DdManager * dd /* DD manager */,
-  DdNode * f /* function to be subset */,
-  int  numVars /* total number of variables in consideration */,
-  int  threshold /* maximum number of nodes allowed in the subset */,
-  int  hardlimit /* flag determining whether thershold should be respected strictly */)
-{
-    st_table *pathTable;
-    DdNode *N, *subset;
-
-    unsigned int  *pathLengthArray;
-    unsigned int maxpath, oddLen, evenLen, pathLength, *excess;
-    int i;
-    NodeDist_t     *nodeStat;
-    struct AssortedInfo *info;
-    st_table *subsetNodeTable;
-
-    one = DD_ONE(dd);
-    zero = Cudd_Not(one);
-
-    if (numVars == 0) {
-      /* set default value */
-      numVars = Cudd_ReadSize(dd);
-    }
-    
-    if (threshold > numVars) {
-    threshold = threshold - numVars;
-    }
-    if (f == NULL) {
-    fprintf(dd->err, "Cannot partition, nil object\n");
-    dd->errorCode = CUDD_INVALID_ARG;
-    return(NULL);
-    }
-    if (Cudd_IsConstant(f))
-    return (f);
-
-    pathLengthArray = ALLOC(unsigned int, numVars+1);
-    for (i = 0; i < numVars+1; i++) pathLengthArray[i] = 0;
-
-
-#ifdef DD_DEBUG
-    numCalls = 0;
-#endif
-
-    pathTable = CreatePathTable(f, pathLengthArray, dd->err);
-
-    if ((pathTable == NULL) || (memOut)) {
-    if (pathTable != NULL)
-        st_free_table(pathTable);
-    FREE(pathLengthArray);
-    return (NIL(DdNode));
-    }
-
-    excess = ALLOC(unsigned int, 1);
-    *excess = 0;
-    maxpath = AssessPathLength(pathLengthArray, threshold, numVars, excess,
-                   dd->err);
-
-    if (maxpath != (unsigned) (numVars + 1)) {
-
-    info = ALLOC(struct AssortedInfo, 1);
-    info->maxpath = maxpath;
-    info->findShortestPath = 0;
-    info->thresholdReached = *excess;
-    info->maxpathTable = st_init_table(st_ptrcmp, st_ptrhash);
-    info->threshold = threshold;
-
-#ifdef DD_DEBUG
-    (void) fprintf(dd->out, "Path length array\n");
-    for (i = 0; i < (numVars+1); i++) {
-        if (pathLengthArray[i])
-        (void) fprintf(dd->out, "%d ",i);
-    }
-    (void) fprintf(dd->out, "\n");
-    for (i = 0; i < (numVars+1); i++) {
-        if (pathLengthArray[i])
-        (void) fprintf(dd->out, "%d ",pathLengthArray[i]);
-    }
-    (void) fprintf(dd->out, "\n");
-    (void) fprintf(dd->out, "Maxpath  = %d, Thresholdreached = %d\n",
-               maxpath, info->thresholdReached);
-#endif
-
-    N = Cudd_Regular(f);
-    if (!st_lookup(pathTable, (char *)N, (char **)&nodeStat)) {
-        fprintf(dd->err, "Something wrong, root node must be in table\n");
-        dd->errorCode = CUDD_INTERNAL_ERROR;
-        return(NULL);
-    } else {
-        if ((nodeStat->oddTopDist != MAXSHORTINT) &&
-        (nodeStat->oddBotDist != MAXSHORTINT))
-        oddLen = (nodeStat->oddTopDist + nodeStat->oddBotDist);
-        else
-        oddLen = MAXSHORTINT;
-
-        if ((nodeStat->evenTopDist != MAXSHORTINT) &&
-        (nodeStat->evenBotDist != MAXSHORTINT))
-        evenLen = (nodeStat->evenTopDist +nodeStat->evenBotDist);
-        else
-        evenLen = MAXSHORTINT;
-
-        pathLength = (oddLen <= evenLen) ? oddLen : evenLen;
-        if (pathLength > maxpath) {
-        (void) fprintf(dd->err, "All computations are bogus, since root has path length greater than max path length within threshold %d, %d\n", maxpath, pathLength);
-        dd->errorCode = CUDD_INTERNAL_ERROR;
-        return(NULL);
-        }
-    }
-
-#ifdef DD_DEBUG
-    numCalls = 0;
-    hits = 0;
-    thishit = 0;
-#endif
-    /* initialize a table to store computed nodes */
-    if (hardlimit) {
-        subsetNodeTable = st_init_table(st_ptrcmp, st_ptrhash);
-    } else {
-        subsetNodeTable = NIL(st_table);
-    }
-    subset = BuildSubsetBdd(dd, pathTable, f, info, subsetNodeTable);
-    if (subset != NULL) {
-        cuddRef(subset);
-    }
-    /* record the number of times a computed result for a node is hit */
-
-#ifdef DD_DEBUG
-    (void) fprintf(dd->out, "Hits = %d, New==Node = %d, NumCalls = %d\n",
-        hits, thishit, numCalls);
-#endif
-
-    if (subsetNodeTable != NIL(st_table)) {
-        st_free_table(subsetNodeTable);
-    }
-    st_free_table(info->maxpathTable);
-    st_foreach(pathTable, stPathTableDdFree, (char *)dd);
-
-    FREE(info);
-
-    } else {/* if threshold larger than size of dd */
-    subset = f;
-    cuddRef(subset);
-    }
-    FREE(excess);
-    st_free_table(pathTable);
-    FREE(pathLengthArray);
-    for (i = 0; i <= nodeDistPage; i++) FREE(nodeDistPages[i]);
-    FREE(nodeDistPages);
-
-#ifdef DD_DEBUG
-    /* check containment of subset in f */
-    if (subset != NULL) {
-    DdNode *check;
-    check = Cudd_bddIteConstant(dd, subset, f, one);
-    if (check != one) {
-        (void) fprintf(dd->err, "Wrong partition\n");
-        dd->errorCode = CUDD_INTERNAL_ERROR;
-        return(NULL);
-    }
-    }
-#endif
-
-    if (subset != NULL) {
-    cuddDeref(subset);
-    return(subset);
-    } else {
-    return(NULL);
-    }
-
-} /* end of cuddSubsetShortPaths */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Resize the number of pages allocated to store the distances
-  related to each node.]
-
-  Description [Resize the number of pages allocated to store the distances
-  related to each node. The procedure  moves the counter to the
-  next page when the end of the page is reached and allocates new
-  pages when necessary. ]
-
-  SideEffects [Changes the size of  pages, page, page index, maximum 
-  number of pages freeing stuff in case of memory out. ]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-ResizeNodeDistPages(
-   )
-{
-    int i;
-    NodeDist_t **newNodeDistPages;
-
-    /* move to next page */
-    nodeDistPage++;
-
-    /* If the current page index is larger than the number of pages
-     * allocated, allocate a new page array. Page numbers are incremented by 
-     * INITIAL_PAGES
-     */
-    if (nodeDistPage == maxNodeDistPages) {
-    newNodeDistPages = ALLOC(NodeDist_t *,maxNodeDistPages + INITIAL_PAGES);
-    if (newNodeDistPages == NULL) {
-        for (i = 0; i < nodeDistPage; i++) FREE(nodeDistPages[i]);
-        FREE(nodeDistPages);
-        memOut = 1;
-        return;
-    } else {
-        for (i = 0; i < maxNodeDistPages; i++) {
-        newNodeDistPages[i] = nodeDistPages[i];
-        }
-        /* Increase total page count */
-        maxNodeDistPages += INITIAL_PAGES;
-        FREE(nodeDistPages);
-        nodeDistPages = newNodeDistPages;
-    }
-    }
-    /* Allocate a new page */
-    currentNodeDistPage = nodeDistPages[nodeDistPage] = ALLOC(NodeDist_t,
-                                  nodeDistPageSize);
-    if (currentNodeDistPage == NULL) {
-    for (i = 0; i < nodeDistPage; i++) FREE(nodeDistPages[i]);
-    FREE(nodeDistPages);
-    memOut = 1;
-    return;
-    }
-    /* reset page index */
-    nodeDistPageIndex = 0;
-    return;
-
-} /* end of ResizeNodeDistPages */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Resize the number of pages allocated to store nodes in the BFS 
-  traversal of the Bdd  .]
-
-  Description [Resize the number of pages allocated to store nodes in the BFS 
-  traversal of the Bdd. The procedure  moves the counter to the
-  next page when the end of the page is reached and allocates new
-  pages when necessary.]
-
-  SideEffects [Changes the size of pages, page, page index, maximum 
-  number of pages freeing stuff in case of memory out. ]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-ResizeQueuePages(
-   )
-{
-    int i;
-    DdNode ***newQueuePages;
-
-    queuePage++;
-    /* If the current page index is larger than the number of pages
-     * allocated, allocate a new page array. Page numbers are incremented by 
-     * INITIAL_PAGES
-     */
-    if (queuePage == maxQueuePages) {
-    newQueuePages = ALLOC(DdNode **,maxQueuePages + INITIAL_PAGES);
-    if (newQueuePages == NULL) {
-        for (i = 0; i < queuePage; i++) FREE(queuePages[i]);
-        FREE(queuePages);
-        memOut = 1;
-        return;
-    } else {
-        for (i = 0; i < maxQueuePages; i++) {
-        newQueuePages[i] = queuePages[i];
-        }
-        /* Increase total page count */
-        maxQueuePages += INITIAL_PAGES;
-        FREE(queuePages);
-        queuePages = newQueuePages;
-    }
-    }
-    /* Allocate a new page */
-    currentQueuePage = queuePages[queuePage] = ALLOC(DdNode *,queuePageSize);
-    if (currentQueuePage == NULL) {
-    for (i = 0; i < queuePage; i++) FREE(queuePages[i]);
-    FREE(queuePages);
-    memOut = 1;
-    return;
-    }
-    /* reset page index */
-    queuePageIndex = 0;
-    return;
-
-} /* end of ResizeQueuePages */
-
-
-/**Function********************************************************************
-
-  Synopsis    [ Labels each node with its shortest distance from the root]
-
-  Description [ Labels each node with its shortest distance from the root.
-  This is done in a BFS search of the BDD. The nodes are processed
-  in a queue implemented as pages(array) to reduce memory fragmentation.
-  An entry is created for each node visited. The distance from the root
-  to the node with the corresponding  parity is updated. The procedure
-  is called recursively each recusion level handling nodes at a given
-  level from the root.]
-
-
-  SideEffects [Creates entries in the pathTable]
-
-  SeeAlso     [CreatePathTable CreateBotDist]
-
-******************************************************************************/
-static void
-CreateTopDist(
-  st_table * pathTable /* hast table to store path lengths */,
-  int  parentPage /* the pointer to the page on which the first parent in the queue is to be found. */,
-  int  parentQueueIndex /* pointer to the first parent on the page */,
-  int  topLen /* current distance from the root */,
-  DdNode ** childPage /* pointer to the page on which the first child is to be added. */,
-  int  childQueueIndex /* pointer to the first child */,
-  int  numParents /* number of parents to process in this recursive call */,
-  FILE *fp /* where to write messages */)
-{
-    NodeDist_t *nodeStat;
-    DdNode *N, *Nv, *Nnv, *node, *child, *regChild;
-    int  i;
-    int processingDone, childrenCount;
-
-#ifdef DD_DEBUG
-    numCalls++;
-
-    /* assume this procedure comes in with only the root node*/
-    /* set queue index to the next available entry for addition */
-    /* set queue page to page of addition */
-    if ((queuePages[parentPage] == childPage) && (parentQueueIndex ==
-                          childQueueIndex)) {
-    fprintf(fp, "Should not happen that they are equal\n");
-    }
-    assert(queuePageIndex == childQueueIndex);
-    assert(currentQueuePage == childPage);
-#endif
-    /* number children added to queue is initialized , needed for
-     * numParents in the next call 
-     */
-    childrenCount = 0;
-    /* process all the nodes in this level */
-    while (numParents) {
-    numParents--;
-    if (parentQueueIndex == queuePageSize) {
-        parentPage++;
-        parentQueueIndex = 0;
-    }
-    /* a parent to process */
-    node = *(queuePages[parentPage] + parentQueueIndex);
-    parentQueueIndex++;
-    /* get its children */
-    N = Cudd_Regular(node);
-    Nv = Cudd_T(N);
-    Nnv = Cudd_E(N);
-
-    Nv = Cudd_NotCond(Nv, Cudd_IsComplement(node));
-    Nnv = Cudd_NotCond(Nnv, Cudd_IsComplement(node));
-
-    processingDone = 2;
-    while (processingDone) {
-        /* processing the THEN and the ELSE children, the THEN
-         * child first
-         */
-        if (processingDone == 2) {
-        child = Nv;
-        } else {
-        child = Nnv;
-        }
-
-        regChild = Cudd_Regular(child);
-        /* dont process if the child is a constant */
-        if (!Cudd_IsConstant(child)) {
-        /* check is already visited, if not add a new entry in
-         * the path Table
-         */
-        if (!st_lookup(pathTable, (char *)regChild, (char **)&nodeStat)) {
-            /* if not in table, has never been visited */
-            /* create entry for table */
-            if (nodeDistPageIndex == nodeDistPageSize)
-            ResizeNodeDistPages();
-            if (memOut) {
-            for (i = 0; i <= queuePage; i++) FREE(queuePages[i]);
-            FREE(queuePages);
-            st_free_table(pathTable);
-            return;
-            }
-            /* New entry for child in path Table is created here */
-            nodeStat = currentNodeDistPage + nodeDistPageIndex;
-            nodeDistPageIndex++;
-
-            /* Initialize fields of the node data */
-            nodeStat->oddTopDist = MAXSHORTINT;
-            nodeStat->evenTopDist = MAXSHORTINT;
-            nodeStat->evenBotDist = MAXSHORTINT;
-            nodeStat->oddBotDist = MAXSHORTINT;
-            nodeStat->regResult = NULL;
-            nodeStat->compResult = NULL;
-            /* update the table entry element, the distance keeps
-             * track of the parity of the path from the root
-             */
-            if (Cudd_IsComplement(child)) {
-            nodeStat->oddTopDist = (DdHalfWord) topLen + 1;
-            } else {
-            nodeStat->evenTopDist = (DdHalfWord) topLen + 1;
-            }
-
-            /* insert entry element for  child in the table */
-            if (st_insert(pathTable, (char *)regChild,
-                  (char *)nodeStat) == ST_OUT_OF_MEM) {
-            memOut = 1;
-            for (i = 0; i <= nodeDistPage; i++)
-                FREE(nodeDistPages[i]);
-            FREE(nodeDistPages);
-            for (i = 0; i <= queuePage; i++) FREE(queuePages[i]);
-            FREE(queuePages);
-            st_free_table(pathTable);
-            return;
-            }
-
-            /* Create list element for this child to process its children.
-             * If this node has been processed already, then it appears
-             * in the path table and hence is never added to the list
-             * again.
-             */
-
-            if (queuePageIndex == queuePageSize) ResizeQueuePages();
-            if (memOut) {
-            for (i = 0; i <= nodeDistPage; i++)
-                FREE(nodeDistPages[i]);
-            FREE(nodeDistPages);
-            st_free_table(pathTable);
-            return;
-            }
-            *(currentQueuePage + queuePageIndex) = child;
-            queuePageIndex++;
-
-            childrenCount++;
-        } else {
-            /* if not been met in a path with this parity before */
-            /* put in list */
-            if (((Cudd_IsComplement(child)) && (nodeStat->oddTopDist ==
-              MAXSHORTINT)) || ((!Cudd_IsComplement(child)) &&
-                  (nodeStat->evenTopDist == MAXSHORTINT))) {
-
-            if (queuePageIndex == queuePageSize) ResizeQueuePages();
-            if (memOut) {
-                for (i = 0; i <= nodeDistPage; i++)
-                FREE(nodeDistPages[i]);
-                FREE(nodeDistPages);
-                st_free_table(pathTable);
-                return;
-
-            }
-            *(currentQueuePage + queuePageIndex) = child;
-            queuePageIndex++;
-
-            /* update the distance with the appropriate parity */
-            if (Cudd_IsComplement(child)) {
-                nodeStat->oddTopDist = (DdHalfWord) topLen + 1;
-            } else {
-                nodeStat->evenTopDist = (DdHalfWord) topLen + 1;
-            }
-            childrenCount++;
-            }
-
-        } /* end of else (not found in st_table) */
-        } /*end of if Not constant child */
-        processingDone--;
-    } /*end of while processing Nv, Nnv */
-    }  /*end of while numParents */
-
-#ifdef DD_DEBUG
-    assert(queuePages[parentPage] == childPage);
-    assert(parentQueueIndex == childQueueIndex);
-#endif
-
-    if (childrenCount != 0) {
-    topLen++;
-    childPage = currentQueuePage;
-    childQueueIndex = queuePageIndex;
-    CreateTopDist(pathTable, parentPage, parentQueueIndex, topLen,
-              childPage, childQueueIndex, childrenCount, fp);
-    }
-
-    return;
-
-} /* end of CreateTopDist */
-
-
-/**Function********************************************************************
-
-  Synopsis    [ Labels each node with the shortest distance from the constant.]
-
-  Description [Labels each node with the shortest distance from the constant.
-  This is done in a DFS search of the BDD. Each node has an odd
-  and even parity distance from the sink (since there exists paths to both
-  zero and one) which is less than MAXSHORTINT. At each node these distances
-  are updated using the minimum distance of its children from the constant.
-  SInce now both the length from the root and child is known, the minimum path
-  length(length of the shortest path between the root and the constant that
-  this node lies on) of this node can be calculated and used to update the
-  pathLengthArray]
-
-  SideEffects [Updates Path Table and path length array]
-
-  SeeAlso     [CreatePathTable CreateTopDist AssessPathLength]
-
-******************************************************************************/
-static int
-CreateBotDist(
-  DdNode * node /* current node */,
-  st_table * pathTable /* path table with path lengths */,
-  unsigned int * pathLengthArray /* array that stores number of nodes belonging to a particular path length. */,
-  FILE *fp /* where to write messages */)
-{
-    DdNode *N, *Nv, *Nnv;
-    DdNode *realChild;
-    DdNode *child, *regChild;
-    NodeDist_t *nodeStat, *nodeStatChild;
-    unsigned int  oddLen, evenLen, pathLength;
-    DdHalfWord botDist;
-    int processingDone;
-
-    if (Cudd_IsConstant(node))
-    return(1);
-    N = Cudd_Regular(node);
-    /* each node has one table entry */
-    /* update as you go down the min dist of each node from
-       the root in each (odd and even) parity */
-    if (!st_lookup(pathTable, (char *)N, (char **)&nodeStat)) {
-    fprintf(fp, "Something wrong, the entry doesn't exist\n");
-    return(0);
-    }
-
-    /* compute length of odd parity distances */
-    if ((nodeStat->oddTopDist != MAXSHORTINT) &&
-    (nodeStat->oddBotDist != MAXSHORTINT))
-    oddLen = (nodeStat->oddTopDist + nodeStat->oddBotDist);
-    else
-    oddLen = MAXSHORTINT;
-
-    /* compute length of even parity distances */
-    if (!((nodeStat->evenTopDist == MAXSHORTINT) ||
-      (nodeStat->evenBotDist == MAXSHORTINT)))
-    evenLen = (nodeStat->evenTopDist +nodeStat->evenBotDist);
-    else
-    evenLen = MAXSHORTINT;
-
-    /* assign pathlength to minimum of the two */
-    pathLength = (oddLen <= evenLen) ? oddLen : evenLen;
-
-    Nv = Cudd_T(N);
-    Nnv = Cudd_E(N);
-
-    /* process each child */
-    processingDone = 0;
-    while (processingDone != 2) {
-    if (!processingDone) {
-        child = Nv;
-    } else {
-        child = Nnv;
-    }
-
-    realChild = Cudd_NotCond(child, Cudd_IsComplement(node));
-    regChild = Cudd_Regular(child);
-    if (Cudd_IsConstant(realChild)) {
-        /* Found a minterm; count parity and shortest distance
-        ** from the constant.
-        */
-        if (Cudd_IsComplement(child))
-        nodeStat->oddBotDist = 1;
-        else
-        nodeStat->evenBotDist = 1;
-    } else { 
-        /* If node not in table, recur. */
-        if (!st_lookup(pathTable, (char *) regChild,
-               (char **)&nodeStatChild)) {
-        fprintf(fp, "Something wrong, node in table should have been created in top dist proc.\n");
-        return(0);
-        }
-
-        if (nodeStatChild->oddBotDist == MAXSHORTINT) {
-        if (nodeStatChild->evenBotDist == MAXSHORTINT) {
-            if (!CreateBotDist(realChild, pathTable, pathLengthArray, fp))
-            return(0);
-        } else {
-            fprintf(fp, "Something wrong, both bot nodeStats should be there\n");
-            return(0);
-        }
-        }
-
-        /* Update shortest distance from the constant depending on
-        **  parity. */
-
-        if (Cudd_IsComplement(child)) {
-        /* If parity on the edge then add 1 to even distance
-        ** of child to get odd parity distance and add 1 to
-        ** odd distance of child to get even parity
-        ** distance. Change distance of current node only if
-        ** the calculated distance is less than existing
-        ** distance. */
-        if (nodeStatChild->oddBotDist != MAXSHORTINT)
-            botDist = nodeStatChild->oddBotDist + 1;
-        else
-            botDist = MAXSHORTINT;
-        if (nodeStat->evenBotDist > botDist )
-            nodeStat->evenBotDist = botDist;
-
-        if (nodeStatChild->evenBotDist != MAXSHORTINT)
-            botDist = nodeStatChild->evenBotDist + 1;
-        else
-            botDist = MAXSHORTINT;
-        if (nodeStat->oddBotDist > botDist)
-            nodeStat->oddBotDist = botDist;
-
-        } else {
-        /* If parity on the edge then add 1 to even distance
-        ** of child to get even parity distance and add 1 to
-        ** odd distance of child to get odd parity distance.
-        ** Change distance of current node only if the
-        ** calculated distance is lesser than existing
-        ** distance. */
-        if (nodeStatChild->evenBotDist != MAXSHORTINT)
-            botDist = nodeStatChild->evenBotDist + 1;
-        else
-            botDist = MAXSHORTINT;
-        if (nodeStat->evenBotDist > botDist)
-            nodeStat->evenBotDist = botDist;
-
-        if (nodeStatChild->oddBotDist != MAXSHORTINT)
-            botDist = nodeStatChild->oddBotDist + 1;
-        else
-            botDist = MAXSHORTINT;
-        if (nodeStat->oddBotDist > botDist)
-            nodeStat->oddBotDist = botDist;
-        }
-    } /* end of else (if not constant child ) */
-    processingDone++;
-    } /* end of while processing Nv, Nnv */
-
-    /* Compute shortest path length on the fly. */
-    if ((nodeStat->oddTopDist != MAXSHORTINT) &&
-    (nodeStat->oddBotDist != MAXSHORTINT))
-    oddLen = (nodeStat->oddTopDist + nodeStat->oddBotDist);
-    else
-    oddLen = MAXSHORTINT;
-
-    if ((nodeStat->evenTopDist != MAXSHORTINT) &&
-    (nodeStat->evenBotDist != MAXSHORTINT))
-    evenLen = (nodeStat->evenTopDist +nodeStat->evenBotDist);
-    else
-    evenLen = MAXSHORTINT;
-
-    /* Update path length array that has number of nodes of a particular
-    ** path length. */
-    if (oddLen < pathLength ) {
-    if (pathLength != MAXSHORTINT)
-        pathLengthArray[pathLength]--;
-    if (oddLen != MAXSHORTINT)
-        pathLengthArray[oddLen]++;
-    pathLength = oddLen;
-    }
-    if (evenLen < pathLength ) {
-    if (pathLength != MAXSHORTINT)
-        pathLengthArray[pathLength]--;
-    if (evenLen != MAXSHORTINT)
-        pathLengthArray[evenLen]++;
-    }
-
-    return(1);
-
-} /*end of CreateBotDist */
-
-
-/**Function********************************************************************
-
-  Synopsis    [ The outer procedure to label each node with its shortest
-  distance from the root and constant]
-
-  Description [ The outer procedure to label each node with its shortest
-  distance from the root and constant. Calls CreateTopDist and CreateBotDist.
-  The basis for computing the distance between root and constant is that
-  the distance may be the sum of even distances from the node to the root
-  and constant or the sum of odd distances from the node to the root and
-  constant.  Both CreateTopDist and CreateBotDist create the odd and
-  even parity distances from the root and constant respectively.]
-
-  SideEffects [None]
-
-  SeeAlso     [CreateTopDist CreateBotDist]
-
-******************************************************************************/
-static st_table *
-CreatePathTable(
-  DdNode * node /* root of function */,
-  unsigned int * pathLengthArray /* array of path lengths to store nodes labeled with the various path lengths */,
-  FILE *fp /* where to write messages */)
-{
-
-    st_table *pathTable;
-    NodeDist_t *nodeStat;
-    DdHalfWord topLen;
-    DdNode *N;
-    int i, numParents;
-    int insertValue;
-    DdNode **childPage;
-    int parentPage;
-    int childQueueIndex, parentQueueIndex;
-
-    /* Creating path Table for storing data about nodes */
-    pathTable = st_init_table(st_ptrcmp,st_ptrhash);
-
-    /* initializing pages for info about each node */
-    maxNodeDistPages = INITIAL_PAGES;
-    nodeDistPages = ALLOC(NodeDist_t *, maxNodeDistPages);
-    if (nodeDistPages == NULL) {
-    goto OUT_OF_MEM;
-    }
-    nodeDistPage = 0;
-    currentNodeDistPage = nodeDistPages[nodeDistPage] =
-    ALLOC(NodeDist_t, nodeDistPageSize);
-    if (currentNodeDistPage == NULL) {
-    for (i = 0; i <= nodeDistPage; i++) FREE(nodeDistPages[i]);
-    FREE(nodeDistPages);
-    goto OUT_OF_MEM;
-    }
-    nodeDistPageIndex = 0;
-
-    /* Initializing pages for the BFS search queue, implemented as an array. */
-    maxQueuePages = INITIAL_PAGES;
-    queuePages = ALLOC(DdNode **, maxQueuePages);
-    if (queuePages == NULL) {
-    goto OUT_OF_MEM;
-    }
-    queuePage = 0;
-    currentQueuePage  = queuePages[queuePage] = ALLOC(DdNode *, queuePageSize);
-    if (currentQueuePage == NULL) {
-    for (i = 0; i <= queuePage; i++) FREE(queuePages[i]);
-    FREE(queuePages);
-    goto OUT_OF_MEM;
-    }
-    queuePageIndex = 0;
-
-    /* Enter the root node into the queue to start with. */
-    parentPage = queuePage;
-    parentQueueIndex = queuePageIndex;
-    topLen = 0;
-    *(currentQueuePage + queuePageIndex) = node;
-    queuePageIndex++;
-    childPage = currentQueuePage;
-    childQueueIndex = queuePageIndex;
-
-    N = Cudd_Regular(node);
-
-    if (nodeDistPageIndex == nodeDistPageSize) ResizeNodeDistPages();
-    if (memOut) {
-    for (i = 0; i <= nodeDistPage; i++) FREE(nodeDistPages[i]);
-    FREE(nodeDistPages);
-    for (i = 0; i <= queuePage; i++) FREE(queuePages[i]);
-    FREE(queuePages);
-    st_free_table(pathTable);
-    goto OUT_OF_MEM;
-    }
-
-    nodeStat = currentNodeDistPage + nodeDistPageIndex;
-    nodeDistPageIndex++;
-
-    nodeStat->oddTopDist = MAXSHORTINT;
-    nodeStat->evenTopDist = MAXSHORTINT;
-    nodeStat->evenBotDist = MAXSHORTINT;
-    nodeStat->oddBotDist = MAXSHORTINT;
-    nodeStat->regResult = NULL;
-    nodeStat->compResult = NULL;
-
-    insertValue = st_insert(pathTable, (char *)N, (char *)nodeStat);
-    if (insertValue == ST_OUT_OF_MEM) {
-    memOut = 1;
-    for (i = 0; i <= nodeDistPage; i++) FREE(nodeDistPages[i]);
-    FREE(nodeDistPages);
-    for (i = 0; i <= queuePage; i++) FREE(queuePages[i]);
-    FREE(queuePages);
-    st_free_table(pathTable);
-    goto OUT_OF_MEM;
-    } else if (insertValue == 1) {
-    fprintf(fp, "Something wrong, the entry exists but didnt show up in st_lookup\n");
-    return(NULL);
-    }
-
-    if (Cudd_IsComplement(node)) {
-    nodeStat->oddTopDist = 0;
-    } else {
-    nodeStat->evenTopDist = 0;
-    }
-    numParents = 1;
-    /* call the function that counts the distance of each node from the
-     * root
-     */
-#ifdef DD_DEBUG
-    numCalls = 0;
-#endif
-    CreateTopDist(pathTable, parentPage, parentQueueIndex, (int) topLen,
-          childPage, childQueueIndex, numParents, fp);
-    if (memOut) {
-    fprintf(fp, "Out of Memory and cant count path lengths\n");
-    goto OUT_OF_MEM;
-    }
-
-#ifdef DD_DEBUG
-    numCalls = 0;
-#endif
-    /* call the function that counts the distance of each node from the
-     * constant
-     */
-    if (!CreateBotDist(node, pathTable, pathLengthArray, fp)) return(NULL);
-
-    /* free BFS queue pages as no longer required */
-    for (i = 0; i <= queuePage; i++) FREE(queuePages[i]);
-    FREE(queuePages);
-    return(pathTable);
-
-OUT_OF_MEM:
-    (void) fprintf(fp, "Out of Memory, cannot allocate pages\n");
-    memOut = 1;
-    return(NULL);
-
-} /*end of CreatePathTable */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Chooses the maximum allowable path length of nodes under the
-  threshold.]
-
-  Description [Chooses the maximum allowable path length under each node.
-  The corner cases are when the threshold is larger than the number
-  of nodes in the BDD iself, in which case 'numVars + 1' is returned.
-  If all nodes of a particular path length are needed, then the
-  maxpath returned is the next one with excess nodes = 0;]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static unsigned int
-AssessPathLength(
-  unsigned int * pathLengthArray /* array determining number of nodes belonging to the different path lengths */,
-  int  threshold /* threshold to determine maximum allowable nodes in the subset */,
-  int  numVars /* maximum number of variables */,
-  unsigned int * excess /* number of nodes labeled maxpath required in the subset */,
-  FILE *fp /* where to write messages */)
-{
-    unsigned int i, maxpath;
-    int temp;
-
-    temp = threshold;
-    i = 0;
-    maxpath = 0;
-    /* quit loop if i reaches max number of variables or if temp reaches
-     * below zero
-     */
-    while ((i < (unsigned) numVars+1) && (temp > 0)) {
-    if (pathLengthArray[i] > 0) {
-        maxpath = i;
-        temp = temp - pathLengthArray[i];
-    }
-    i++;
-    }
-    /* if all nodes of max path are needed */
-    if (temp >= 0) {
-    maxpath++; /* now maxpath  becomes the next maxppath or max number
-              of variables */
-    *excess = 0;
-    } else { /* normal case when subset required is less than size of
-        original BDD */
-    *excess = temp + pathLengthArray[maxpath];
-    }
-
-    if (maxpath == 0) {
-    fprintf(fp, "Path Length array seems to be all zeroes, check\n");
-    }
-    return(maxpath);
-
-} /* end of AssessPathLength */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Builds the BDD with nodes labeled with path length less than or equal to maxpath]
-
-  Description [Builds the BDD with nodes labeled with path length
-  under maxpath and as many nodes labeled maxpath as determined by the
-  threshold. The procedure uses the path table to determine which nodes
-  in the original bdd need to be retained. This procedure picks a
-  shortest path (tie break decided by taking the child with the shortest
-  distance to the constant) and recurs down the path till it reaches the
-  constant. the procedure then starts building the subset upward from
-  the constant. All nodes labeled by path lengths less than the given
-  maxpath are used to build the subset.  However, in the case of nodes
-  that have label equal to maxpath, as many are chosen as required by
-  the threshold. This number is stored in the info structure in the
-  field thresholdReached. This field is decremented whenever a node
-  labeled maxpath is encountered and the nodes labeled maxpath are
-  aggregated in a maxpath table. As soon as the thresholdReached count
-  goes to 0, the shortest path from this node to the constant is found.
-  The extraction of nodes with the above labeling is based on the fact
-  that each node, labeled with a path length, P, has at least one child
-  labeled P or less. So extracting all nodes labeled a given path length
-  P ensures complete paths between the root and the constant. Extraction
-  of a partial number of nodes with a given path length may result in
-  incomplete paths and hence the additional number of nodes are grabbed
-  to complete the path. Since the Bdd is built bottom-up, other nodes
-  labeled maxpath do lie on complete paths.  The procedure may cause the
-  subset to have a larger or smaller number of nodes than the specified
-  threshold. The increase in the number of nodes is caused by the
-  building of a subset and the reduction by recombination. However in
-  most cases, the recombination overshadows the increase and the
-  procedure returns a result with lower number of nodes than specified.
-  The subsetNodeTable is NIL when there is no hard limit on the number
-  of nodes. Further efforts towards keeping the subset closer to the
-  threshold number were abandoned in favour of keeping the procedure
-  simple and fast.]
-
-  SideEffects [SubsetNodeTable is changed if it is not NIL.]
-
-  SeeAlso     []
-
-******************************************************************************/
-static DdNode *
-BuildSubsetBdd(
-  DdManager * dd /* DD manager */,
-  st_table * pathTable /* path table with path lengths and computed results */,
-  DdNode * node /* current node */,
-  struct AssortedInfo * info /* assorted information structure */,
-  st_table * subsetNodeTable /* table storing computed results */)
-{
-    DdNode *N, *Nv, *Nnv;
-    DdNode *ThenBranch, *ElseBranch, *childBranch;
-    DdNode *child, *regChild, *regNnv, *regNv;
-    NodeDist_t *nodeStatNv, *nodeStat, *nodeStatNnv;
-    DdNode *neW, *topv, *regNew;
-    char *entry;
-    unsigned int topid;
-    unsigned int childPathLength, oddLen, evenLen, NnvPathLength, NvPathLength;
-    unsigned int NvBotDist, NnvBotDist;
-    int tiebreakChild;
-    int  processingDone, thenDone, elseDone;
-
-
-#ifdef DD_DEBUG
-    numCalls++;
-#endif
-    if (Cudd_IsConstant(node))
-    return(node);
-
-    N = Cudd_Regular(node);
-    /* Find node in table. */
-    if (!st_lookup(pathTable, (char *)N, (char **)&nodeStat)) {
-    (void) fprintf(dd->err, "Something wrong, node must be in table \n");
-    dd->errorCode = CUDD_INTERNAL_ERROR;
-    return(NULL);
-    }
-    /* If the node in the table has been visited, then return the corresponding
-    ** Dd. Since a node can become a subset of itself, its
-    ** complement (that is te same node reached by a different parity) will
-    ** become a superset of the original node and result in some minterms
-    ** that were not in the original set. Hence two different results are
-    ** maintained, corresponding to the odd and even parities.
-    */
-
-    /* If this node is reached with an odd parity, get odd parity results. */
-    if (Cudd_IsComplement(node)) {
-    if  (nodeStat->compResult != NULL) {
-#ifdef DD_DEBUG
-        hits++;
-#endif
-        return(nodeStat->compResult);
-    }
-    } else {
-    /* if this node is reached with an even parity, get even parity
-     * results
-     */
-    if (nodeStat->regResult != NULL) {
-#ifdef DD_DEBUG
-        hits++;
-#endif
-        return(nodeStat->regResult);
-    }
-    }
-
-
-    /* get children */
-    Nv = Cudd_T(N);
-    Nnv = Cudd_E(N);
-
-    Nv = Cudd_NotCond(Nv, Cudd_IsComplement(node));
-    Nnv = Cudd_NotCond(Nnv, Cudd_IsComplement(node));
-
-    /* no child processed */
-    processingDone = 0;
-    /* then child not processed */
-    thenDone = 0;
-    ThenBranch = NULL;
-    /* else child not processed */
-    elseDone = 0;
-    ElseBranch = NULL;
-    /* if then child constant, branch is the child */
-    if (Cudd_IsConstant(Nv)) {
-    /*shortest path found */
-    if ((Nv == DD_ONE(dd)) && (info->findShortestPath)) {
-        info->findShortestPath = 0;
-    }
-
-    ThenBranch = Nv;
-    cuddRef(ThenBranch);
-    if (ThenBranch == NULL) {
-        return(NULL);
-    }
-
-    thenDone++;
-    processingDone++;
-    NvBotDist = MAXSHORTINT;
-    } else {
-    /* Derive regular child for table lookup. */
-    regNv = Cudd_Regular(Nv);
-    /* Get node data for shortest path length. */
-    if (!st_lookup(pathTable, (char *)regNv, (char **)&nodeStatNv) ) {
-        (void) fprintf(dd->err, "Something wrong, node must be in table\n");
-        dd->errorCode = CUDD_INTERNAL_ERROR;
-        return(NULL);
-    }
-    /* Derive shortest path length for child. */
-    if ((nodeStatNv->oddTopDist != MAXSHORTINT) &&
-        (nodeStatNv->oddBotDist != MAXSHORTINT)) {
-        oddLen = (nodeStatNv->oddTopDist + nodeStatNv->oddBotDist);
-    } else {
-        oddLen = MAXSHORTINT;
-    }
-
-    if ((nodeStatNv->evenTopDist != MAXSHORTINT) &&
-        (nodeStatNv->evenBotDist != MAXSHORTINT)) {
-        evenLen = (nodeStatNv->evenTopDist +nodeStatNv->evenBotDist);
-    } else {
-        evenLen = MAXSHORTINT;
-    }
-
-    NvPathLength = (oddLen <= evenLen) ? oddLen : evenLen;
-    NvBotDist = (oddLen <= evenLen) ? nodeStatNv->oddBotDist:
-                                               nodeStatNv->evenBotDist;
-    }
-    /* if else child constant, branch is the child */
-    if (Cudd_IsConstant(Nnv)) {
-    /*shortest path found */
-    if ((Nnv == DD_ONE(dd)) && (info->findShortestPath)) {
-        info->findShortestPath = 0;
-    }
-
-    ElseBranch = Nnv;
-    cuddRef(ElseBranch);
-    if (ElseBranch == NULL) {
-        return(NULL);
-    }
-
-    elseDone++;
-    processingDone++;
-    NnvBotDist = MAXSHORTINT;
-    } else {
-    /* Derive regular child for table lookup. */
-    regNnv = Cudd_Regular(Nnv);
-    /* Get node data for shortest path length. */
-    if (!st_lookup(pathTable, (char *)regNnv, (char **)&nodeStatNnv) ) {
-        (void) fprintf(dd->err, "Something wrong, node must be in table\n");
-        dd->errorCode = CUDD_INTERNAL_ERROR;
-        return(NULL);
-    }
-    /* Derive shortest path length for child. */
-    if ((nodeStatNnv->oddTopDist != MAXSHORTINT) &&
-        (nodeStatNnv->oddBotDist != MAXSHORTINT)) {
-        oddLen = (nodeStatNnv->oddTopDist + nodeStatNnv->oddBotDist);
-    } else {
-        oddLen = MAXSHORTINT;
-    }
-
-    if ((nodeStatNnv->evenTopDist != MAXSHORTINT) &&
-        (nodeStatNnv->evenBotDist != MAXSHORTINT)) {
-        evenLen = (nodeStatNnv->evenTopDist +nodeStatNnv->evenBotDist);
-    } else {
-        evenLen = MAXSHORTINT;
-    }
-
-    NnvPathLength = (oddLen <= evenLen) ? oddLen : evenLen;
-    NnvBotDist = (oddLen <= evenLen) ? nodeStatNnv->oddBotDist :
-                                               nodeStatNnv->evenBotDist;
-    }
-
-    tiebreakChild = (NvBotDist <= NnvBotDist) ? 1 : 0;
-    /* while both children not processed */
-    while (processingDone != 2) {
-    if (!processingDone) {
-        /* if no child processed */
-        /* pick the child with shortest path length and record which one
-         * picked
-         */
-        if ((NvPathLength < NnvPathLength) ||
-        ((NvPathLength == NnvPathLength) && (tiebreakChild == 1))) {
-        child = Nv;
-        regChild = regNv;
-        thenDone = 1;
-        childPathLength = NvPathLength;
-        } else {
-        child = Nnv;
-        regChild = regNnv;
-        elseDone = 1;
-        childPathLength = NnvPathLength;
-        } /* then path length less than else path length */
-    } else {
-        /* if one child processed, process the other */
-        if (thenDone) {
-        child = Nnv;
-        regChild = regNnv;
-        elseDone = 1;
-        childPathLength = NnvPathLength;
-        } else {
-        child = Nv;
-        regChild = regNv;
-        thenDone = 1;
-        childPathLength = NvPathLength;
-        } /* end of else pick the Then child if ELSE child processed */
-    } /* end of else one child has been processed */
-
-    /* ignore (replace with constant 0) all nodes which lie on paths larger
-     * than the maximum length of the path required
-     */
-    if (childPathLength > info->maxpath) {
-        /* record nodes visited */
-        childBranch = zero;
-    } else {
-        if (childPathLength < info->maxpath) {
-        if (info->findShortestPath) {
-            info->findShortestPath = 0;
-        }
-        childBranch = BuildSubsetBdd(dd, pathTable, child, info,
-                         subsetNodeTable);
-
-        } else { /* Case: path length of node = maxpath */
-        /* If the node labeled with maxpath is found in the
-        ** maxpathTable, use it to build the subset BDD.  */
-        if (st_lookup(info->maxpathTable, (char *)regChild,
-                  (char **)&entry)) {
-            /* When a node that is already been chosen is hit,
-            ** the quest for a complete path is over.  */
-            if (info->findShortestPath) {
-            info->findShortestPath = 0;
-            }
-            childBranch = BuildSubsetBdd(dd, pathTable, child, info,
-                         subsetNodeTable);
-        } else {
-            /* If node is not found in the maxpathTable and
-            ** the threshold has been reached, then if the
-            ** path needs to be completed, continue. Else
-            ** replace the node with a zero.  */
-            if (info->thresholdReached <= 0) {
-            if (info->findShortestPath) {
-                if (st_insert(info->maxpathTable, (char *)regChild,
-                      (char *)NIL(char)) == ST_OUT_OF_MEM) {
-                memOut = 1;
-                (void) fprintf(dd->err, "OUT of memory\n");
-                info->thresholdReached = 0;
-                childBranch = zero;
-                } else {
-                info->thresholdReached--;
-                childBranch = BuildSubsetBdd(dd, pathTable,
-                            child, info,subsetNodeTable);
-                }
-            } else { /* not find shortest path, we dont need this
-                    node */
-                childBranch = zero;
-            }
-            } else { /* Threshold hasn't been reached,
-                 ** need the node. */
-            if (st_insert(info->maxpathTable, (char *)regChild,
-                      (char *)NIL(char)) == ST_OUT_OF_MEM) {
-                memOut = 1;
-                (void) fprintf(dd->err, "OUT of memory\n");
-                info->thresholdReached = 0;
-                childBranch = zero;
-            } else {
-                info->thresholdReached--;
-                if (info->thresholdReached <= 0) {
-                info->findShortestPath = 1;
-                }
-                childBranch = BuildSubsetBdd(dd, pathTable,
-                         child, info, subsetNodeTable);
-
-            } /* end of st_insert successful */
-            } /* end of threshold hasnt been reached yet */
-        } /* end of else node not found in maxpath table */
-        } /* end of if (path length of node = maxpath) */
-    } /* end if !(childPathLength > maxpath) */
-    if (childBranch == NULL) {
-        /* deref other stuff incase reordering has taken place */
-        if (ThenBranch != NULL) {
-        Cudd_RecursiveDeref(dd, ThenBranch);
-        ThenBranch = NULL;
-        }
-        if (ElseBranch != NULL) {
-        Cudd_RecursiveDeref(dd, ElseBranch);
-        ElseBranch = NULL;
-        }
-        return(NULL);
-    }
-
-    cuddRef(childBranch);
-
-    if (child == Nv) {
-        ThenBranch = childBranch;
-    } else {
-        ElseBranch = childBranch;
-    }
-    processingDone++;
-
-    } /*end of while processing Nv, Nnv */      
-
-    info->findShortestPath = 0;
-    topid = Cudd_NodeReadIndex(N);
-    topv = Cudd_ReadVars(dd, topid);
-    cuddRef(topv);
-    neW = cuddBddIteRecur(dd, topv, ThenBranch, ElseBranch);
-    if (neW != NULL) {
-    cuddRef(neW);
-    }
-    Cudd_RecursiveDeref(dd, topv);
-    Cudd_RecursiveDeref(dd, ThenBranch);
-    Cudd_RecursiveDeref(dd, ElseBranch);
-
-
-    /* Hard Limit of threshold has been imposed */
-    if (subsetNodeTable != NIL(st_table)) {
-    /* check if a new node is created */
-    regNew = Cudd_Regular(neW);
-    /* subset node table keeps all new nodes that have been created to keep
-     * a running count of how many nodes have been built in the subset.
-     */
-    if (!st_lookup(subsetNodeTable, (char *)regNew, (char **)&entry)) {
-        if (!Cudd_IsConstant(regNew)) {
-        if (st_insert(subsetNodeTable, (char *)regNew,
-                  (char *)NULL) == ST_OUT_OF_MEM) {
-            (void) fprintf(dd->err, "Out of memory\n");
-            return (NULL);
-        }
-        if (st_count(subsetNodeTable) > info->threshold) {
-            info->thresholdReached = 0;
-        }
-        }
-    }
-    }
-
-
-    if (neW == NULL) {
-    return(NULL);
-    } else {
-    /*store computed result in regular form*/
-    if (Cudd_IsComplement(node)) {
-        nodeStat->compResult = neW;
-        cuddRef(nodeStat->compResult);
-        /* if the new node is the same as the corresponding node in the
-         * original bdd then its complement need not be computed as it
-         * cannot be larger than the node itself
-         */
-        if (neW == node) {
-#ifdef DD_DEBUG
-        thishit++;
-#endif
-        /* if a result for the node has already been computed, then
-         * it can only be smaller than teh node itself. hence store
-         * the node result in order not to break recombination
-         */
-        if (nodeStat->regResult != NULL) {
-            Cudd_RecursiveDeref(dd, nodeStat->regResult);
-        }
-        nodeStat->regResult = Cudd_Not(neW);
-        cuddRef(nodeStat->regResult);
-        }
-
-    } else {
-        nodeStat->regResult = neW;
-        cuddRef(nodeStat->regResult);
-        if (neW == node) {
-#ifdef DD_DEBUG
-        thishit++;
-#endif
-        if (nodeStat->compResult != NULL) {
-            Cudd_RecursiveDeref(dd, nodeStat->compResult);
-        }
-        nodeStat->compResult = Cudd_Not(neW);
-        cuddRef(nodeStat->compResult);
-        }
-    } 
-
-    cuddDeref(neW);
-    return(neW);
-    } /* end of else i.e. Subset != NULL */
-} /* end of BuildSubsetBdd */
-
-
-/**Function********************************************************************
-
-  Synopsis     [Procedure to free te result dds stored in the NodeDist pages.]
-
-  Description [None]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static enum st_retval
-stPathTableDdFree(
-  char * key,
-  char * value,
-  char * arg)
-{
-    NodeDist_t *nodeStat;
-    DdManager *dd;
-
-    nodeStat = (NodeDist_t *)value;
-    dd = (DdManager *)arg;
-    if (nodeStat->regResult != NULL) {
-    Cudd_RecursiveDeref(dd, nodeStat->regResult);
-    }
-    if (nodeStat->compResult != NULL) {
-    Cudd_RecursiveDeref(dd, nodeStat->compResult);
-    }
-    return(ST_CONTINUE);
-
-} /* end of stPathTableFree */
diff --git a/src/bdd/cudd/cuddSymmetry.c b/src/bdd/cudd/cuddSymmetry.c
deleted file mode 100644
index e5488b17..00000000
--- a/src/bdd/cudd/cuddSymmetry.c
+++ /dev/null
@@ -1,1668 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddSymmetry.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions for symmetry-based variable reordering.]
-
-  Description [External procedures included in this file:
-        <ul>
-        <li> Cudd_SymmProfile()
-        </ul>
-    Internal procedures included in this module:
-        <ul>
-        <li> cuddSymmCheck()
-        <li> cuddSymmSifting()
-        <li> cuddSymmSiftingConv()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> ddSymmUniqueCompare()
-        <li> ddSymmSiftingAux()
-        <li> ddSymmSiftingConvAux()
-        <li> ddSymmSiftingUp()
-        <li> ddSymmSiftingDown()
-        <li> ddSymmGroupMove()
-        <li> ddSymmGroupMoveBackward()
-        <li> ddSymmSiftingBackward()
-        <li> ddSymmSummary()
-        </ul>]
-
-  Author      [Shipra Panda, Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#define MV_OOM (Move *)1
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddSymmetry.c,v 1.1.1.1 2003/02/24 22:23:53 wjiang Exp $";
-#endif
-
-static    int    *entry;
-
-extern  int    ddTotalNumberSwapping;
-#ifdef DD_STATS
-extern    int    ddTotalNISwaps;
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int ddSymmUniqueCompare ARGS((int *ptrX, int *ptrY));
-static int ddSymmSiftingAux ARGS((DdManager *table, int x, int xLow, int xHigh));
-static int ddSymmSiftingConvAux ARGS((DdManager *table, int x, int xLow, int xHigh));
-static Move * ddSymmSiftingUp ARGS((DdManager *table, int y, int xLow));
-static Move * ddSymmSiftingDown ARGS((DdManager *table, int x, int xHigh));
-static int ddSymmGroupMove ARGS((DdManager *table, int x, int y, Move **moves));
-static int ddSymmGroupMoveBackward ARGS((DdManager *table, int x, int y));
-static int ddSymmSiftingBackward ARGS((DdManager *table, Move *moves, int size));
-static void ddSymmSummary ARGS((DdManager *table, int lower, int upper, int *symvars, int *symgroups));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints statistics on symmetric variables.]
-
-  Description []
-
-  SideEffects [None]
-
-******************************************************************************/
-void
-Cudd_SymmProfile(
-  DdManager * table,
-  int  lower,
-  int  upper)
-{
-    int i,x,gbot;
-    int TotalSymm = 0;
-    int TotalSymmGroups = 0;
-
-    for (i = lower; i <= upper; i++) {
-    if (table->subtables[i].next != (unsigned) i) {
-        x = i;
-        (void) fprintf(table->out,"Group:");
-        do {
-        (void) fprintf(table->out,"  %d",table->invperm[x]);
-        TotalSymm++;
-        gbot = x;
-        x = table->subtables[x].next;
-        } while (x != i);
-        TotalSymmGroups++;
-#ifdef DD_DEBUG
-        assert(table->subtables[gbot].next == (unsigned) i);
-#endif
-        i = gbot;
-        (void) fprintf(table->out,"\n");
-    }
-    }
-    (void) fprintf(table->out,"Total Symmetric = %d\n",TotalSymm);
-    (void) fprintf(table->out,"Total Groups = %d\n",TotalSymmGroups);
-
-} /* end of Cudd_SymmProfile */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks for symmetry of x and y.]
-
-  Description [Checks for symmetry of x and y. Ignores projection
-  functions, unless they are isolated. Returns 1 in case of symmetry; 0
-  otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-int
-cuddSymmCheck(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    DdNode *f,*f0,*f1,*f01,*f00,*f11,*f10;
-    int comple;        /* f0 is complemented */
-    int xsymmy;        /* x and y may be positively symmetric */
-    int xsymmyp;    /* x and y may be negatively symmetric */
-    int arccount;    /* number of arcs from layer x to layer y */
-    int TotalRefCount;    /* total reference count of layer y minus 1 */
-    int yindex;
-    int i;
-    DdNodePtr *list;
-    int slots;
-    DdNode *sentinel = &(table->sentinel);
-#ifdef DD_DEBUG
-    int xindex;
-#endif
-
-    /* Checks that x and y are not the projection functions.
-    ** For x it is sufficient to check whether there is only one
-    ** node; indeed, if there is one node, it is the projection function
-    ** and it cannot point to y. Hence, if y isn't just the projection
-    ** function, it has one arc coming from a layer different from x.
-    */
-    if (table->subtables[x].keys == 1) {
-    return(0);
-    }
-    yindex = table->invperm[y];
-    if (table->subtables[y].keys == 1) {
-    if (table->vars[yindex]->ref == 1)
-        return(0);
-    }
-
-    xsymmy = xsymmyp = 1;
-    arccount = 0;
-    slots = table->subtables[x].slots;
-    list = table->subtables[x].nodelist;
-    for (i = 0; i < slots; i++) {
-    f = list[i];
-    while (f != sentinel) {
-        /* Find f1, f0, f11, f10, f01, f00. */
-        f1 = cuddT(f);
-        f0 = Cudd_Regular(cuddE(f));
-        comple = Cudd_IsComplement(cuddE(f));
-        if ((int) f1->index == yindex) {
-        arccount++;
-        f11 = cuddT(f1); f10 = cuddE(f1);
-        } else {
-        if ((int) f0->index != yindex) {
-            /* If f is an isolated projection function it is
-            ** allowed to bypass layer y.
-            */
-            if (f1 != DD_ONE(table) || f0 != DD_ONE(table) || f->ref != 1)
-            return(0); /* f bypasses layer y */
-        }
-        f11 = f10 = f1;
-        }
-        if ((int) f0->index == yindex) {
-        arccount++;
-        f01 = cuddT(f0); f00 = cuddE(f0);
-        } else {
-        f01 = f00 = f0;
-        }
-        if (comple) {
-        f01 = Cudd_Not(f01);
-        f00 = Cudd_Not(f00);
-        }
-
-        if (f1 != DD_ONE(table) || f0 != DD_ONE(table) || f->ref != 1) {
-        xsymmy &= f01 == f10;
-        xsymmyp &= f11 == f00;
-        if ((xsymmy == 0) && (xsymmyp == 0))
-            return(0);
-        }
-
-        f = f->next;
-    } /* while */
-    } /* for */
-
-    /* Calculate the total reference counts of y */
-    TotalRefCount = -1; /* -1 for projection function */
-    slots = table->subtables[y].slots;
-    list = table->subtables[y].nodelist;
-    for (i = 0; i < slots; i++) {
-    f = list[i];
-    while (f != sentinel) {
-        TotalRefCount += f->ref;
-        f = f->next;
-    }
-    }
-
-#if defined(DD_DEBUG) && defined(DD_VERBOSE)
-    if (arccount == TotalRefCount) {
-    xindex = table->invperm[x];
-    (void) fprintf(table->out,
-               "Found symmetry! x =%d\ty = %d\tPos(%d,%d)\n",
-               xindex,yindex,x,y);
-    }
-#endif
-
-    return(arccount == TotalRefCount);
-
-} /* end of cuddSymmCheck */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Symmetric sifting algorithm.]
-
-  Description [Symmetric sifting algorithm.
-  Assumes that no dead nodes are present.
-    <ol>
-    <li> Order all the variables according to the number of entries in
-    each unique subtable.
-    <li> Sift the variable up and down, remembering each time the total
-    size of the DD heap and grouping variables that are symmetric.
-    <li> Select the best permutation.
-    <li> Repeat 3 and 4 for all variables.
-    </ol>
-  Returns 1 plus the number of symmetric variables if successful; 0
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddSymmSiftingConv]
-
-******************************************************************************/
-int
-cuddSymmSifting(
-  DdManager * table,
-  int  lower,
-  int  upper)
-{
-    int        i;
-    int        *var;
-    int        size;
-    int        x;
-    int        result;
-    int        symvars;
-    int        symgroups;
-#ifdef DD_STATS
-    int        previousSize;
-#endif
-
-    size = table->size;
-
-    /* Find order in which to sift variables. */
-    var = NULL;
-    entry = ALLOC(int,size);
-    if (entry == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto ddSymmSiftingOutOfMem;
-    }
-    var = ALLOC(int,size);
-    if (var == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto ddSymmSiftingOutOfMem;
-    }
-
-    for (i = 0; i < size; i++) {
-    x = table->perm[i];
-    entry[i] = table->subtables[x].keys;
-    var[i] = i;
-    }
-
-    qsort((void *)var,size,sizeof(int),(int (*)(const void *, const void *))ddSymmUniqueCompare);
-
-    /* Initialize the symmetry of each subtable to itself. */
-    for (i = lower; i <= upper; i++) {
-    table->subtables[i].next = i;
-    }
-
-    for (i = 0; i < ddMin(table->siftMaxVar,size); i++) {
-    if (ddTotalNumberSwapping >= table->siftMaxSwap)
-        break;
-    x = table->perm[var[i]];
-#ifdef DD_STATS
-    previousSize = table->keys - table->isolated;
-#endif
-    if (x < lower || x > upper) continue;
-    if (table->subtables[x].next == (unsigned) x) {
-        result = ddSymmSiftingAux(table,x,lower,upper);
-        if (!result) goto ddSymmSiftingOutOfMem;
-#ifdef DD_STATS
-        if (table->keys < (unsigned) previousSize + table->isolated) {
-        (void) fprintf(table->out,"-");
-        } else if (table->keys > (unsigned) previousSize +
-               table->isolated) {
-        (void) fprintf(table->out,"+"); /* should never happen */
-        } else {
-        (void) fprintf(table->out,"=");
-        }
-        fflush(table->out);
-#endif
-    }
-    }
-
-    FREE(var);
-    FREE(entry);
-
-    ddSymmSummary(table, lower, upper, &symvars, &symgroups);
-
-#ifdef DD_STATS
-    (void) fprintf(table->out, "\n#:S_SIFTING %8d: symmetric variables\n",
-           symvars);
-    (void) fprintf(table->out, "#:G_SIFTING %8d: symmetric groups",
-           symgroups);
-#endif
-
-    return(1+symvars);
-
-ddSymmSiftingOutOfMem:
-
-    if (entry != NULL) FREE(entry);
-    if (var != NULL) FREE(var);
-
-    return(0);
-
-} /* end of cuddSymmSifting */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Symmetric sifting to convergence algorithm.]
-
-  Description [Symmetric sifting to convergence algorithm.
-  Assumes that no dead nodes are present.
-    <ol>
-    <li> Order all the variables according to the number of entries in
-    each unique subtable.
-    <li> Sift the variable up and down, remembering each time the total
-    size of the DD heap and grouping variables that are symmetric.
-    <li> Select the best permutation.
-    <li> Repeat 3 and 4 for all variables.
-    <li> Repeat 1-4 until no further improvement.
-    </ol>
-  Returns 1 plus the number of symmetric variables if successful; 0
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddSymmSifting]
-
-******************************************************************************/
-int
-cuddSymmSiftingConv(
-  DdManager * table,
-  int  lower,
-  int  upper)
-{
-    int        i;
-    int        *var;
-    int        size;
-    int        x;
-    int        result;
-    int        symvars;
-    int        symgroups;
-    int        classes;
-    int        initialSize;
-#ifdef DD_STATS
-    int        previousSize;
-#endif
-
-    initialSize = table->keys - table->isolated;
-
-    size = table->size;
-
-    /* Find order in which to sift variables. */
-    var = NULL;
-    entry = ALLOC(int,size);
-    if (entry == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto ddSymmSiftingConvOutOfMem;
-    }
-    var = ALLOC(int,size);
-    if (var == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto ddSymmSiftingConvOutOfMem;
-    }
-
-    for (i = 0; i < size; i++) {
-    x = table->perm[i];
-    entry[i] = table->subtables[x].keys;
-    var[i] = i;
-    }
-
-    qsort((void *)var,size,sizeof(int),(int (*)(const void *, const void *))ddSymmUniqueCompare);
-
-    /* Initialize the symmetry of each subtable to itself
-    ** for first pass of converging symmetric sifting.
-    */
-    for (i = lower; i <= upper; i++) {
-    table->subtables[i].next = i;
-    }
-
-    for (i = 0; i < ddMin(table->siftMaxVar, table->size); i++) {
-    if (ddTotalNumberSwapping >= table->siftMaxSwap)
-        break;
-    x = table->perm[var[i]];
-    if (x < lower || x > upper) continue;
-    /* Only sift if not in symmetry group already. */
-    if (table->subtables[x].next == (unsigned) x) {
-#ifdef DD_STATS
-        previousSize = table->keys - table->isolated;
-#endif
-        result = ddSymmSiftingAux(table,x,lower,upper);
-        if (!result) goto ddSymmSiftingConvOutOfMem;
-#ifdef DD_STATS
-        if (table->keys < (unsigned) previousSize + table->isolated) {
-        (void) fprintf(table->out,"-");
-        } else if (table->keys > (unsigned) previousSize +
-               table->isolated) {
-        (void) fprintf(table->out,"+");
-        } else {
-        (void) fprintf(table->out,"=");
-        }
-        fflush(table->out);
-#endif
-    }
-    }
-
-    /* Sifting now until convergence. */
-    while ((unsigned) initialSize > table->keys - table->isolated) {
-    initialSize = table->keys - table->isolated;
-#ifdef DD_STATS
-    (void) fprintf(table->out,"\n");
-#endif
-        /* Here we consider only one representative for each symmetry class. */
-    for (x = lower, classes = 0; x <= upper; x++, classes++) {
-        while ((unsigned) x < table->subtables[x].next) {
-        x = table->subtables[x].next;
-        }
-        /* Here x is the largest index in a group.
-        ** Groups consist of adjacent variables.
-        ** Hence, the next increment of x will move it to a new group.
-        */
-        i = table->invperm[x];
-        entry[i] = table->subtables[x].keys;
-        var[classes] = i;
-    }
-
-    qsort((void *)var,classes,sizeof(int),(int (*)(const void *, const void *))ddSymmUniqueCompare);
-
-    /* Now sift. */
-    for (i = 0; i < ddMin(table->siftMaxVar,classes); i++) {
-        if (ddTotalNumberSwapping >= table->siftMaxSwap)
-        break;
-        x = table->perm[var[i]];
-        if ((unsigned) x >= table->subtables[x].next) {
-#ifdef DD_STATS
-        previousSize = table->keys - table->isolated;
-#endif
-        result = ddSymmSiftingConvAux(table,x,lower,upper);
-        if (!result ) goto ddSymmSiftingConvOutOfMem;
-#ifdef DD_STATS
-        if (table->keys < (unsigned) previousSize + table->isolated) {
-            (void) fprintf(table->out,"-");
-        } else if (table->keys > (unsigned) previousSize +
-               table->isolated) {
-            (void) fprintf(table->out,"+");
-        } else {
-            (void) fprintf(table->out,"=");
-        }
-        fflush(table->out);
-#endif
-        }
-    } /* for */
-    }
-
-    ddSymmSummary(table, lower, upper, &symvars, &symgroups);
-
-#ifdef DD_STATS
-    (void) fprintf(table->out, "\n#:S_SIFTING %8d: symmetric variables\n",
-           symvars);
-    (void) fprintf(table->out, "#:G_SIFTING %8d: symmetric groups",
-           symgroups);
-#endif
-
-    FREE(var);
-    FREE(entry);
-
-    return(1+symvars);
-
-ddSymmSiftingConvOutOfMem:
-
-    if (entry != NULL) FREE(entry);
-    if (var != NULL) FREE(var);
-
-    return(0);
-
-} /* end of cuddSymmSiftingConv */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Comparison function used by qsort.]
-
-  Description [Comparison function used by qsort to order the variables
-  according to the number of keys in the subtables.
-  Returns the difference in number of keys between the two
-  variables being compared.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddSymmUniqueCompare(
-  int * ptrX,
-  int * ptrY)
-{
-#if 0
-    if (entry[*ptrY] == entry[*ptrX]) {
-    return((*ptrX) - (*ptrY));
-    }
-#endif
-    return(entry[*ptrY] - entry[*ptrX]);
-
-} /* end of ddSymmUniqueCompare */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Given xLow <= x <= xHigh moves x up and down between the
-  boundaries.]
-
-  Description [Given xLow <= x <= xHigh moves x up and down between the
-  boundaries. Finds the best position and does the required changes.
-  Assumes that x is not part of a symmetry group. Returns 1 if
-  successful; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddSymmSiftingAux(
-  DdManager * table,
-  int  x,
-  int  xLow,
-  int  xHigh)
-{
-    Move *move;
-    Move *moveUp;    /* list of up moves */
-    Move *moveDown;    /* list of down moves */
-    int     initialSize;
-    int     result;
-    int  i;
-    int  topbot;    /* index to either top or bottom of symmetry group */
-    int  initGroupSize, finalGroupSize;
-
-
-#ifdef DD_DEBUG
-    /* check for previously detected symmetry */
-    assert(table->subtables[x].next == (unsigned) x);
-#endif
-
-    initialSize = table->keys - table->isolated;
-
-    moveDown = NULL;
-    moveUp = NULL;
-
-    if ((x - xLow) > (xHigh - x)) {
-    /* Will go down first, unless x == xHigh:
-    ** Look for consecutive symmetries above x.
-    */
-    for (i = x; i > xLow; i--) {
-        if (!cuddSymmCheck(table,i-1,i))
-        break;
-        topbot = table->subtables[i-1].next; /* find top of i-1's group */
-        table->subtables[i-1].next = i;
-        table->subtables[x].next = topbot; /* x is bottom of group so its */
-                           /* next is top of i-1's group */
-        i = topbot + 1; /* add 1 for i--; new i is top of symm group */
-    }
-    } else {
-    /* Will go up first unless x == xlow:
-    ** Look for consecutive symmetries below x.
-    */
-    for (i = x; i < xHigh; i++) {
-        if (!cuddSymmCheck(table,i,i+1))
-        break;
-        /* find bottom of i+1's symm group */
-        topbot = i + 1;
-        while ((unsigned) topbot < table->subtables[topbot].next) {
-        topbot = table->subtables[topbot].next;
-        }
-        table->subtables[topbot].next = table->subtables[i].next;
-        table->subtables[i].next = i + 1;
-        i = topbot - 1; /* subtract 1 for i++; new i is bottom of group */
-    }
-    }
-
-    /* Now x may be in the middle of a symmetry group.
-    ** Find bottom of x's symm group.
-    */
-    while ((unsigned) x < table->subtables[x].next)
-    x = table->subtables[x].next;
-
-    if (x == xLow) { /* Sift down */
-
-#ifdef DD_DEBUG
-    /* x must be a singleton */
-    assert((unsigned) x == table->subtables[x].next);
-#endif
-    if (x == xHigh) return(1);    /* just one variable */
-
-    initGroupSize = 1;
-
-    moveDown = ddSymmSiftingDown(table,x,xHigh);
-        /* after this point x --> xHigh, unless early term */
-    if (moveDown == MV_OOM) goto ddSymmSiftingAuxOutOfMem;
-    if (moveDown == NULL) return(1);
-
-    x = moveDown->y;
-    /* Find bottom of x's group */
-    i = x;
-    while ((unsigned) i < table->subtables[i].next) {
-        i = table->subtables[i].next;
-    }
-#ifdef DD_DEBUG
-    /* x should be the top of the symmetry group and i the bottom */
-    assert((unsigned) i >= table->subtables[i].next);
-    assert((unsigned) x == table->subtables[i].next);
-#endif
-    finalGroupSize = i - x + 1;
-
-    if (initGroupSize == finalGroupSize) {
-        /* No new symmetry groups detected, return to best position */
-        result = ddSymmSiftingBackward(table,moveDown,initialSize);
-    } else {
-        initialSize = table->keys - table->isolated;
-        moveUp = ddSymmSiftingUp(table,x,xLow);
-        result = ddSymmSiftingBackward(table,moveUp,initialSize);
-    }
-    if (!result) goto ddSymmSiftingAuxOutOfMem;
-
-    } else if (cuddNextHigh(table,x) > xHigh) { /* Sift up */
-    /* Find top of x's symm group */
-    i = x;                /* bottom */
-    x = table->subtables[x].next;    /* top */
-
-    if (x == xLow) return(1); /* just one big group */
-
-    initGroupSize = i - x + 1;
-
-    moveUp = ddSymmSiftingUp(table,x,xLow);
-        /* after this point x --> xLow, unless early term */
-    if (moveUp == MV_OOM) goto ddSymmSiftingAuxOutOfMem;
-    if (moveUp == NULL) return(1);
-
-    x = moveUp->x;
-    /* Find top of x's group */
-    i = table->subtables[x].next;
-#ifdef DD_DEBUG
-    /* x should be the bottom of the symmetry group and i the top */
-    assert((unsigned) x >= table->subtables[x].next);
-    assert((unsigned) i == table->subtables[x].next);
-#endif
-    finalGroupSize = x - i + 1;
-
-    if (initGroupSize == finalGroupSize) {
-        /* No new symmetry groups detected, return to best position */
-        result = ddSymmSiftingBackward(table,moveUp,initialSize);
-    } else {
-        initialSize = table->keys - table->isolated;
-        moveDown = ddSymmSiftingDown(table,x,xHigh);
-        result = ddSymmSiftingBackward(table,moveDown,initialSize);
-    }
-    if (!result) goto ddSymmSiftingAuxOutOfMem;
-
-    } else if ((x - xLow) > (xHigh - x)) { /* must go down first: shorter */
-
-    moveDown = ddSymmSiftingDown(table,x,xHigh);
-    /* at this point x == xHigh, unless early term */
-    if (moveDown == MV_OOM) goto ddSymmSiftingAuxOutOfMem;
-
-    if (moveDown != NULL) {
-        x = moveDown->y;    /* x is top here */
-        i = x;
-        while ((unsigned) i < table->subtables[i].next) {
-        i = table->subtables[i].next;
-        }
-    } else {
-        i = x;
-        while ((unsigned) i < table->subtables[i].next) {
-        i = table->subtables[i].next;
-        }
-        x = table->subtables[i].next;
-    }
-#ifdef DD_DEBUG
-        /* x should be the top of the symmetry group and i the bottom */
-    assert((unsigned) i >= table->subtables[i].next);
-    assert((unsigned) x == table->subtables[i].next);
-#endif
-    initGroupSize = i - x + 1;
-
-    moveUp = ddSymmSiftingUp(table,x,xLow);
-    if (moveUp == MV_OOM) goto ddSymmSiftingAuxOutOfMem;
-
-    if (moveUp != NULL) {
-        x = moveUp->x;
-        i = table->subtables[x].next;
-    } else {
-        i = x;
-        while ((unsigned) x < table->subtables[x].next)
-        x = table->subtables[x].next;
-    }
-#ifdef DD_DEBUG
-    /* x should be the bottom of the symmetry group and i the top */
-    assert((unsigned) x >= table->subtables[x].next);
-    assert((unsigned) i == table->subtables[x].next);
-#endif
-    finalGroupSize = x - i + 1;
-
-    if (initGroupSize == finalGroupSize) {
-        /* No new symmetry groups detected, return to best position */
-        result = ddSymmSiftingBackward(table,moveUp,initialSize);
-    } else {
-        while (moveDown != NULL) {
-        move = moveDown->next;
-        cuddDeallocNode(table, (DdNode *) moveDown);
-        moveDown = move;
-        }
-        initialSize = table->keys - table->isolated;
-        moveDown = ddSymmSiftingDown(table,x,xHigh);
-        result = ddSymmSiftingBackward(table,moveDown,initialSize);
-    }
-    if (!result) goto ddSymmSiftingAuxOutOfMem;
-
-    } else { /* moving up first: shorter */
-        /* Find top of x's symmetry group */
-    x = table->subtables[x].next;
-
-    moveUp = ddSymmSiftingUp(table,x,xLow);
-    /* at this point x == xHigh, unless early term */
-    if (moveUp == MV_OOM) goto ddSymmSiftingAuxOutOfMem;
-
-    if (moveUp != NULL) {
-        x = moveUp->x;
-        i = table->subtables[x].next;
-    } else {
-        while ((unsigned) x < table->subtables[x].next)
-        x = table->subtables[x].next;
-        i = table->subtables[x].next;
-    }
-#ifdef DD_DEBUG
-        /* x is bottom of the symmetry group and i is top */
-    assert((unsigned) x >= table->subtables[x].next);
-    assert((unsigned) i == table->subtables[x].next);
-#endif
-    initGroupSize = x - i + 1;
-
-    moveDown = ddSymmSiftingDown(table,x,xHigh);
-    if (moveDown == MV_OOM) goto ddSymmSiftingAuxOutOfMem;
-
-    if (moveDown != NULL) {
-        x = moveDown->y;
-        i = x;
-        while ((unsigned) i < table->subtables[i].next) {
-        i = table->subtables[i].next;
-        }
-    } else {
-        i = x;
-        x = table->subtables[x].next;
-    }
-#ifdef DD_DEBUG
-    /* x should be the top of the symmetry group and i the bottom */
-    assert((unsigned) i >= table->subtables[i].next);
-    assert((unsigned) x == table->subtables[i].next);
-#endif
-    finalGroupSize = i - x + 1;
-
-    if (initGroupSize == finalGroupSize) {
-        /* No new symmetries detected, go back to best position */
-        result = ddSymmSiftingBackward(table,moveDown,initialSize);
-    } else {
-        while (moveUp != NULL) {
-        move = moveUp->next;
-        cuddDeallocNode(table, (DdNode *) moveUp);
-        moveUp = move;
-        }
-        initialSize = table->keys - table->isolated;
-        moveUp = ddSymmSiftingUp(table,x,xLow);
-        result = ddSymmSiftingBackward(table,moveUp,initialSize);
-    }
-    if (!result) goto ddSymmSiftingAuxOutOfMem;
-    }
-
-    while (moveDown != NULL) {
-    move = moveDown->next;
-    cuddDeallocNode(table, (DdNode *) moveDown);
-    moveDown = move;
-    }
-    while (moveUp != NULL) {
-    move = moveUp->next;
-    cuddDeallocNode(table, (DdNode *) moveUp);
-    moveUp = move;
-    }
-
-    return(1);
-
-ddSymmSiftingAuxOutOfMem:
-    if (moveDown != MV_OOM) {
-    while (moveDown != NULL) {
-        move = moveDown->next;
-        cuddDeallocNode(table, (DdNode *) moveDown);
-        moveDown = move;
-    }
-    }
-    if (moveUp != MV_OOM) {
-    while (moveUp != NULL) {
-        move = moveUp->next;
-        cuddDeallocNode(table, (DdNode *) moveUp);
-        moveUp = move;
-    }
-    }
-
-    return(0);
-
-} /* end of ddSymmSiftingAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Given xLow <= x <= xHigh moves x up and down between the
-  boundaries.]
-
-  Description [Given xLow <= x <= xHigh moves x up and down between the
-  boundaries. Finds the best position and does the required changes.
-  Assumes that x is either an isolated variable, or it is the bottom of
-  a symmetry group. All symmetries may not have been found, because of
-  exceeded growth limit. Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddSymmSiftingConvAux(
-  DdManager * table,
-  int  x,
-  int  xLow,
-  int  xHigh)
-{
-    Move *move;
-    Move *moveUp;    /* list of up moves */
-    Move *moveDown;    /* list of down moves */
-    int     initialSize;
-    int     result;
-    int  i;
-    int  initGroupSize, finalGroupSize;
-
-
-    initialSize = table->keys - table->isolated;
-
-    moveDown = NULL;
-    moveUp = NULL;
-
-    if (x == xLow) { /* Sift down */
-#ifdef DD_DEBUG
-    /* x is bottom of symmetry group */
-    assert((unsigned) x >= table->subtables[x].next);
-#endif
-        i = table->subtables[x].next;
-    initGroupSize = x - i + 1;
-
-    moveDown = ddSymmSiftingDown(table,x,xHigh);
-    /* at this point x == xHigh, unless early term */
-    if (moveDown == MV_OOM) goto ddSymmSiftingConvAuxOutOfMem;
-    if (moveDown == NULL) return(1);
-
-    x = moveDown->y;
-    i = x;
-    while ((unsigned) i < table->subtables[i].next) {
-        i = table->subtables[i].next;
-    }
-#ifdef DD_DEBUG
-    /* x should be the top of the symmetric group and i the bottom */
-    assert((unsigned) i >= table->subtables[i].next);
-    assert((unsigned) x == table->subtables[i].next);
-#endif
-    finalGroupSize = i - x + 1;
-
-    if (initGroupSize == finalGroupSize) {
-        /* No new symmetries detected, go back to best position */
-        result = ddSymmSiftingBackward(table,moveDown,initialSize);
-    } else {
-        initialSize = table->keys - table->isolated;
-        moveUp = ddSymmSiftingUp(table,x,xLow);
-        result = ddSymmSiftingBackward(table,moveUp,initialSize);
-    }
-    if (!result) goto ddSymmSiftingConvAuxOutOfMem;
-
-    } else if (cuddNextHigh(table,x) > xHigh) { /* Sift up */
-    /* Find top of x's symm group */
-    while ((unsigned) x < table->subtables[x].next)
-        x = table->subtables[x].next;
-    i = x;                /* bottom */
-    x = table->subtables[x].next;    /* top */
-
-    if (x == xLow) return(1);
-
-    initGroupSize = i - x + 1;
-
-    moveUp = ddSymmSiftingUp(table,x,xLow);
-        /* at this point x == xLow, unless early term */
-    if (moveUp == MV_OOM) goto ddSymmSiftingConvAuxOutOfMem;
-    if (moveUp == NULL) return(1);
-
-    x = moveUp->x;
-    i = table->subtables[x].next;
-#ifdef DD_DEBUG
-    /* x should be the bottom of the symmetry group and i the top */
-    assert((unsigned) x >= table->subtables[x].next);
-    assert((unsigned) i == table->subtables[x].next);
-#endif
-    finalGroupSize = x - i + 1;
-
-    if (initGroupSize == finalGroupSize) {
-        /* No new symmetry groups detected, return to best position */
-        result = ddSymmSiftingBackward(table,moveUp,initialSize);
-    } else {
-        initialSize = table->keys - table->isolated;
-        moveDown = ddSymmSiftingDown(table,x,xHigh);
-        result = ddSymmSiftingBackward(table,moveDown,initialSize);
-    }
-    if (!result)
-        goto ddSymmSiftingConvAuxOutOfMem;
-
-    } else if ((x - xLow) > (xHigh - x)) { /* must go down first: shorter */
-    moveDown = ddSymmSiftingDown(table,x,xHigh);
-        /* at this point x == xHigh, unless early term */
-    if (moveDown == MV_OOM) goto ddSymmSiftingConvAuxOutOfMem;
-
-    if (moveDown != NULL) {
-        x = moveDown->y;
-        i = x;
-        while ((unsigned) i < table->subtables[i].next) {
-        i = table->subtables[i].next;
-        }
-    } else {
-        while ((unsigned) x < table->subtables[x].next)
-        x = table->subtables[x].next;
-        i = x;
-        x = table->subtables[x].next;
-    }
-#ifdef DD_DEBUG
-        /* x should be the top of the symmetry group and i the bottom */
-    assert((unsigned) i >= table->subtables[i].next);
-    assert((unsigned) x == table->subtables[i].next);
-#endif
-    initGroupSize = i - x + 1;
-
-    moveUp = ddSymmSiftingUp(table,x,xLow);
-    if (moveUp == MV_OOM) goto ddSymmSiftingConvAuxOutOfMem;
-
-    if (moveUp != NULL) {
-        x = moveUp->x;
-        i = table->subtables[x].next;
-    } else {
-        i = x;
-        while ((unsigned) x < table->subtables[x].next)
-        x = table->subtables[x].next;
-    }
-#ifdef DD_DEBUG
-    /* x should be the bottom of the symmetry group and i the top */
-    assert((unsigned) x >= table->subtables[x].next);
-    assert((unsigned) i == table->subtables[x].next);
-#endif
-    finalGroupSize = x - i + 1;
-
-    if (initGroupSize == finalGroupSize) {
-        /* No new symmetry groups detected, return to best position */
-        result = ddSymmSiftingBackward(table,moveUp,initialSize);
-    } else {
-        while (moveDown != NULL) {
-        move = moveDown->next;
-        cuddDeallocNode(table, (DdNode *) moveDown);
-        moveDown = move;
-        }
-        initialSize = table->keys - table->isolated;
-        moveDown = ddSymmSiftingDown(table,x,xHigh);
-        result = ddSymmSiftingBackward(table,moveDown,initialSize);
-    }
-    if (!result) goto ddSymmSiftingConvAuxOutOfMem;
-
-    } else { /* moving up first: shorter */
-    /* Find top of x's symmetry group */
-    x = table->subtables[x].next;
-
-    moveUp = ddSymmSiftingUp(table,x,xLow);
-    /* at this point x == xHigh, unless early term */
-    if (moveUp == MV_OOM) goto ddSymmSiftingConvAuxOutOfMem;
-
-    if (moveUp != NULL) {
-        x = moveUp->x;
-        i = table->subtables[x].next;
-    } else {
-        i = x;
-        while ((unsigned) x < table->subtables[x].next)
-        x = table->subtables[x].next;
-    }
-#ifdef DD_DEBUG
-        /* x is bottom of the symmetry group and i is top */
-        assert((unsigned) x >= table->subtables[x].next);
-        assert((unsigned) i == table->subtables[x].next);
-#endif
-        initGroupSize = x - i + 1;
-
-    moveDown = ddSymmSiftingDown(table,x,xHigh);
-    if (moveDown == MV_OOM) goto ddSymmSiftingConvAuxOutOfMem;
-
-    if (moveDown != NULL) {
-        x = moveDown->y;
-        i = x;
-        while ((unsigned) i < table->subtables[i].next) {
-        i = table->subtables[i].next;
-        }
-    } else {
-        i = x;
-        x = table->subtables[x].next;
-    }
-#ifdef DD_DEBUG
-    /* x should be the top of the symmetry group and i the bottom */
-    assert((unsigned) i >= table->subtables[i].next);
-    assert((unsigned) x == table->subtables[i].next);
-#endif
-    finalGroupSize = i - x + 1;
-
-    if (initGroupSize == finalGroupSize) {
-        /* No new symmetries detected, go back to best position */
-        result = ddSymmSiftingBackward(table,moveDown,initialSize);
-    } else {
-        while (moveUp != NULL) {
-        move = moveUp->next;
-        cuddDeallocNode(table, (DdNode *) moveUp);
-        moveUp = move;
-        }
-        initialSize = table->keys - table->isolated;
-        moveUp = ddSymmSiftingUp(table,x,xLow);
-        result = ddSymmSiftingBackward(table,moveUp,initialSize);
-    }
-    if (!result) goto ddSymmSiftingConvAuxOutOfMem;
-    }
-
-    while (moveDown != NULL) {
-    move = moveDown->next;
-    cuddDeallocNode(table, (DdNode *) moveDown);
-    moveDown = move;
-    }
-    while (moveUp != NULL) {
-    move = moveUp->next;
-    cuddDeallocNode(table, (DdNode *) moveUp);
-    moveUp = move;
-    }
-
-    return(1);
-
-ddSymmSiftingConvAuxOutOfMem:
-    if (moveDown != MV_OOM) {
-    while (moveDown != NULL) {
-        move = moveDown->next;
-        cuddDeallocNode(table, (DdNode *) moveDown);
-        moveDown = move;
-    }
-    }
-    if (moveUp != MV_OOM) {
-    while (moveUp != NULL) {
-        move = moveUp->next;
-        cuddDeallocNode(table, (DdNode *) moveUp);
-        moveUp = move;
-    }
-    }
-
-    return(0);
-
-} /* end of ddSymmSiftingConvAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Moves x up until either it reaches the bound (xLow) or
-  the size of the DD heap increases too much.]
-
-  Description [Moves x up until either it reaches the bound (xLow) or
-  the size of the DD heap increases too much. Assumes that x is the top
-  of a symmetry group.  Checks x for symmetry to the adjacent
-  variables. If symmetry is found, the symmetry group of x is merged
-  with the symmetry group of the other variable. Returns the set of
-  moves in case of success; MV_OOM if memory is full.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static Move *
-ddSymmSiftingUp(
-  DdManager * table,
-  int  y,
-  int  xLow)
-{
-    Move *moves;
-    Move *move;
-    int     x;
-    int     size;
-    int  i;
-    int  gxtop,gybot;
-    int  limitSize;
-    int  xindex, yindex;
-    int  zindex;
-    int  z;
-    int  isolated;
-    int  L;    /* lower bound on DD size */
-#ifdef DD_DEBUG
-    int  checkL;
-#endif
-
-
-    moves = NULL;
-    yindex = table->invperm[y];
-
-    /* Initialize the lower bound.
-    ** The part of the DD below the bottom of y' group will not change.
-    ** The part of the DD above y that does not interact with y will not
-    ** change. The rest may vanish in the best case, except for
-    ** the nodes at level xLow, which will not vanish, regardless.
-    */
-    limitSize = L = table->keys - table->isolated;
-    gybot = y;
-    while ((unsigned) gybot < table->subtables[gybot].next)
-    gybot = table->subtables[gybot].next;
-    for (z = xLow + 1; z <= gybot; z++) {
-    zindex = table->invperm[z];
-    if (zindex == yindex || cuddTestInteract(table,zindex,yindex)) {
-        isolated = table->vars[zindex]->ref == 1;
-        L -= table->subtables[z].keys - isolated;
-    }
-    }
-
-    x = cuddNextLow(table,y);
-    while (x >= xLow && L <= limitSize) {
-#ifdef DD_DEBUG
-    gybot = y;
-    while ((unsigned) gybot < table->subtables[gybot].next)
-        gybot = table->subtables[gybot].next;
-    checkL = table->keys - table->isolated;
-    for (z = xLow + 1; z <= gybot; z++) {
-        zindex = table->invperm[z];
-        if (zindex == yindex || cuddTestInteract(table,zindex,yindex)) {
-        isolated = table->vars[zindex]->ref == 1;
-        checkL -= table->subtables[z].keys - isolated;
-        }
-    }
-    assert(L == checkL);
-#endif
-    gxtop = table->subtables[x].next;
-    if (cuddSymmCheck(table,x,y)) {
-        /* Symmetry found, attach symm groups */
-        table->subtables[x].next = y;
-        i = table->subtables[y].next;
-        while (table->subtables[i].next != (unsigned) y)
-        i = table->subtables[i].next;
-        table->subtables[i].next = gxtop;
-    } else if (table->subtables[x].next == (unsigned) x &&
-           table->subtables[y].next == (unsigned) y) {
-        /* x and y have self symmetry */
-        xindex = table->invperm[x];
-        size = cuddSwapInPlace(table,x,y);
-#ifdef DD_DEBUG
-        assert(table->subtables[x].next == (unsigned) x);
-        assert(table->subtables[y].next == (unsigned) y);
-#endif
-        if (size == 0) goto ddSymmSiftingUpOutOfMem;
-        /* Update the lower bound. */
-        if (cuddTestInteract(table,xindex,yindex)) {
-        isolated = table->vars[xindex]->ref == 1;
-        L += table->subtables[y].keys - isolated;
-        }
-        move = (Move *) cuddDynamicAllocNode(table);
-        if (move == NULL) goto ddSymmSiftingUpOutOfMem;
-        move->x = x;
-        move->y = y;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-        if ((double) size > (double) limitSize * table->maxGrowth)
-        return(moves);
-        if (size < limitSize) limitSize = size;
-    } else { /* Group move */
-        size = ddSymmGroupMove(table,x,y,&moves);
-        if (size == 0) goto ddSymmSiftingUpOutOfMem;
-        /* Update the lower bound. */
-        z = moves->y;
-        do {
-        zindex = table->invperm[z];
-        if (cuddTestInteract(table,zindex,yindex)) {
-            isolated = table->vars[zindex]->ref == 1;
-            L += table->subtables[z].keys - isolated;
-        }
-        z = table->subtables[z].next;
-        } while (z != (int) moves->y);
-        if ((double) size > (double) limitSize * table->maxGrowth)
-        return(moves);
-        if (size < limitSize) limitSize = size;
-    }
-    y = gxtop;
-    x = cuddNextLow(table,y);
-    }
-
-    return(moves);
-
-ddSymmSiftingUpOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *) moves);
-    moves = move;
-    }
-    return(MV_OOM);
-
-} /* end of ddSymmSiftingUp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Moves x down until either it reaches the bound (xHigh) or
-  the size of the DD heap increases too much.]
-
-  Description [Moves x down until either it reaches the bound (xHigh)
-  or the size of the DD heap increases too much. Assumes that x is the
-  bottom of a symmetry group. Checks x for symmetry to the adjacent
-  variables. If symmetry is found, the symmetry group of x is merged
-  with the symmetry group of the other variable. Returns the set of
-  moves in case of success; MV_OOM if memory is full.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static Move *
-ddSymmSiftingDown(
-  DdManager * table,
-  int  x,
-  int  xHigh)
-{
-    Move *moves;
-    Move *move;
-    int     y;
-    int     size;
-    int  limitSize;
-    int  gxtop,gybot;
-    int  R;    /* upper bound on node decrease */
-    int  xindex, yindex;
-    int  isolated;
-    int  z;
-    int  zindex;
-#ifdef DD_DEBUG
-    int  checkR;
-#endif
-
-    moves = NULL;
-    /* Initialize R */
-    xindex = table->invperm[x];
-    gxtop = table->subtables[x].next;
-    limitSize = size = table->keys - table->isolated;
-    R = 0;
-    for (z = xHigh; z > gxtop; z--) {
-    zindex = table->invperm[z];
-    if (zindex == xindex || cuddTestInteract(table,xindex,zindex)) {
-        isolated = table->vars[zindex]->ref == 1;
-        R += table->subtables[z].keys - isolated;
-    }
-    }
-
-    y = cuddNextHigh(table,x);
-    while (y <= xHigh && size - R < limitSize) {
-#ifdef DD_DEBUG
-    gxtop = table->subtables[x].next;
-    checkR = 0;
-    for (z = xHigh; z > gxtop; z--) {
-        zindex = table->invperm[z];
-        if (zindex == xindex || cuddTestInteract(table,xindex,zindex)) {
-        isolated = table->vars[zindex]->ref == 1;
-        checkR += table->subtables[z].keys - isolated;
-        }
-    }
-    assert(R == checkR);
-#endif
-    gybot = table->subtables[y].next;
-    while (table->subtables[gybot].next != (unsigned) y)
-        gybot = table->subtables[gybot].next;
-    if (cuddSymmCheck(table,x,y)) {
-        /* Symmetry found, attach symm groups */
-        gxtop = table->subtables[x].next;
-        table->subtables[x].next = y;
-        table->subtables[gybot].next = gxtop;
-    } else if (table->subtables[x].next == (unsigned) x &&
-           table->subtables[y].next == (unsigned) y) {
-        /* x and y have self symmetry */
-        /* Update upper bound on node decrease. */
-        yindex = table->invperm[y];
-        if (cuddTestInteract(table,xindex,yindex)) {
-        isolated = table->vars[yindex]->ref == 1;
-        R -= table->subtables[y].keys - isolated;
-        }
-        size = cuddSwapInPlace(table,x,y);
-#ifdef DD_DEBUG
-        assert(table->subtables[x].next == (unsigned) x);
-        assert(table->subtables[y].next == (unsigned) y);
-#endif
-        if (size == 0) goto ddSymmSiftingDownOutOfMem;
-        move = (Move *) cuddDynamicAllocNode(table);
-        if (move == NULL) goto ddSymmSiftingDownOutOfMem;
-        move->x = x;
-        move->y = y;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-        if ((double) size > (double) limitSize * table->maxGrowth)
-        return(moves);
-        if (size < limitSize) limitSize = size;
-    } else { /* Group move */
-        /* Update upper bound on node decrease: first phase. */
-        gxtop = table->subtables[x].next;
-        z = gxtop + 1;
-        do {
-        zindex = table->invperm[z];
-        if (zindex == xindex || cuddTestInteract(table,xindex,zindex)) {
-            isolated = table->vars[zindex]->ref == 1;
-            R -= table->subtables[z].keys - isolated;
-        }
-        z++;
-        } while (z <= gybot);
-        size = ddSymmGroupMove(table,x,y,&moves);
-        if (size == 0) goto ddSymmSiftingDownOutOfMem;
-        if ((double) size > (double) limitSize * table->maxGrowth)
-        return(moves);
-        if (size < limitSize) limitSize = size;
-        /* Update upper bound on node decrease: second phase. */
-        gxtop = table->subtables[gybot].next;
-        for (z = gxtop + 1; z <= gybot; z++) {
-        zindex = table->invperm[z];
-        if (zindex == xindex || cuddTestInteract(table,xindex,zindex)) {
-            isolated = table->vars[zindex]->ref == 1;
-            R += table->subtables[z].keys - isolated;
-        }
-        }
-    }
-    x = gybot;
-    y = cuddNextHigh(table,x);
-    }
-
-    return(moves);
-
-ddSymmSiftingDownOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *) moves);
-    moves = move;
-    }
-    return(MV_OOM);
-
-} /* end of ddSymmSiftingDown */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Swaps two groups.]
-
-  Description [Swaps two groups. x is assumed to be the bottom variable
-  of the first group. y is assumed to be the top variable of the second
-  group.  Updates the list of moves. Returns the number of keys in the
-  table if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddSymmGroupMove(
-  DdManager * table,
-  int  x,
-  int  y,
-  Move ** moves)
-{
-    Move *move;
-    int     size;
-    int  i,j;
-    int  xtop,xbot,xsize,ytop,ybot,ysize,newxtop;
-    int  swapx,swapy;
-
-#if DD_DEBUG
-    assert(x < y);    /* we assume that x < y */
-#endif
-    /* Find top, bottom, and size for the two groups. */
-    xbot = x;
-    xtop = table->subtables[x].next;
-    xsize = xbot - xtop + 1;
-    ybot = y;
-    while ((unsigned) ybot < table->subtables[ybot].next)
-    ybot = table->subtables[ybot].next;
-    ytop = y;
-    ysize = ybot - ytop + 1;
-
-    /* Sift the variables of the second group up through the first group. */
-    for (i = 1; i <= ysize; i++) {
-        for (j = 1; j <= xsize; j++) {
-        size = cuddSwapInPlace(table,x,y);
-        if (size == 0) return(0);
-        swapx = x; swapy = y;
-        y = x;
-        x = y - 1;
-    }
-    y = ytop + i;
-    x = y - 1;
-    }
-
-    /* fix symmetries */
-    y = xtop; /* ytop is now where xtop used to be */
-    for (i = 0; i < ysize-1 ; i++) {
-    table->subtables[y].next = y + 1;
-    y = y + 1;
-    }
-    table->subtables[y].next = xtop; /* y is bottom of its group, join */
-                         /* its symmetry to top of its group */
-    x = y + 1;
-    newxtop = x;
-    for (i = 0; i < xsize - 1 ; i++) {
-    table->subtables[x].next = x + 1;
-    x = x + 1;
-    }
-    table->subtables[x].next = newxtop; /* x is bottom of its group, join */
-                        /* its symmetry to top of its group */
-    /* Store group move */
-    move = (Move *) cuddDynamicAllocNode(table);
-    if (move == NULL) return(0);
-    move->x = swapx;
-    move->y = swapy;
-    move->size = size;
-    move->next = *moves;
-    *moves = move;
-
-    return(size);
-
-} /* end of ddSymmGroupMove */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Undoes the swap of two groups.]
-
-  Description [Undoes the swap of two groups. x is assumed to be the
-  bottom variable of the first group. y is assumed to be the top
-  variable of the second group.  Returns the number of keys in the table
-  if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddSymmGroupMoveBackward(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    int    size;
-    int i,j;
-    int    xtop,xbot,xsize,ytop,ybot,ysize,newxtop;
-
-#if DD_DEBUG
-    assert(x < y); /* We assume that x < y */
-#endif
-
-    /* Find top, bottom, and size for the two groups. */
-    xbot = x;
-    xtop = table->subtables[x].next;
-    xsize = xbot - xtop + 1;
-    ybot = y;
-    while ((unsigned) ybot < table->subtables[ybot].next)
-    ybot = table->subtables[ybot].next;
-    ytop = y;
-    ysize = ybot - ytop + 1;
-
-    /* Sift the variables of the second group up through the first group. */
-    for (i = 1; i <= ysize; i++) {
-        for (j = 1; j <= xsize; j++) {
-        size = cuddSwapInPlace(table,x,y);
-        if (size == 0) return(0);
-        y = x;
-        x = cuddNextLow(table,y);
-    }
-    y = ytop + i;
-    x = y - 1;
-    }
-
-    /* Fix symmetries. */
-    y = xtop;
-    for (i = 0; i < ysize-1 ; i++) {
-    table->subtables[y].next = y + 1;
-    y = y + 1;
-    }
-    table->subtables[y].next = xtop; /* y is bottom of its group, join */
-                         /* its symmetry to top of its group */
-    x = y + 1;
-    newxtop = x;
-    for (i = 0; i < xsize-1 ; i++) {
-    table->subtables[x].next = x + 1;
-    x = x + 1;
-    }
-    table->subtables[x].next = newxtop; /* x is bottom of its group, join */
-                    /* its symmetry to top of its group */
-
-    return(size);
-
-} /* end of ddSymmGroupMoveBackward */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Given a set of moves, returns the DD heap to the position
-  giving the minimum size.]
-
-  Description [Given a set of moves, returns the DD heap to the
-  position giving the minimum size. In case of ties, returns to the
-  closest position giving the minimum size. Returns 1 in case of
-  success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddSymmSiftingBackward(
-  DdManager * table,
-  Move * moves,
-  int  size)
-{
-    Move *move;
-    int  res;
-
-    for (move = moves; move != NULL; move = move->next) {
-    if (move->size < size) {
-        size = move->size;
-    }
-    }
-
-    for (move = moves; move != NULL; move = move->next) {
-    if (move->size == size) return(1);
-    if (table->subtables[move->x].next == move->x && table->subtables[move->y].next == move->y) {
-        res = cuddSwapInPlace(table,(int)move->x,(int)move->y);
-#ifdef DD_DEBUG
-        assert(table->subtables[move->x].next == move->x);
-        assert(table->subtables[move->y].next == move->y);
-#endif
-    } else { /* Group move necessary */
-        res = ddSymmGroupMoveBackward(table,(int)move->x,(int)move->y);
-    }
-    if (!res) return(0);
-    }
-
-    return(1);
-
-} /* end of ddSymmSiftingBackward */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts numbers of symmetric variables and symmetry
-  groups.]
-
-  Description []
-
-  SideEffects [None]
-
-******************************************************************************/
-static void
-ddSymmSummary(
-  DdManager * table,
-  int  lower,
-  int  upper,
-  int * symvars,
-  int * symgroups)
-{
-    int i,x,gbot;
-    int TotalSymm = 0;
-    int TotalSymmGroups = 0;
-
-    for (i = lower; i <= upper; i++) {
-    if (table->subtables[i].next != (unsigned) i) {
-        TotalSymmGroups++;
-        x = i;
-        do {
-        TotalSymm++;
-        gbot = x;
-        x = table->subtables[x].next;
-        } while (x != i);
-#ifdef DD_DEBUG
-        assert(table->subtables[gbot].next == (unsigned) i);
-#endif
-        i = gbot;
-    }
-    }
-    *symvars = TotalSymm;
-    *symgroups = TotalSymmGroups;
-
-    return;
-
-} /* end of ddSymmSummary */
diff --git a/src/bdd/cudd/cuddTable.c b/src/bdd/cudd/cuddTable.c
deleted file mode 100644
index 7f14aed1..00000000
--- a/src/bdd/cudd/cuddTable.c
+++ /dev/null
@@ -1,3141 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddTable.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Unique table management functions.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_Prime()
-        </ul>
-    Internal procedures included in this module:
-        <ul>
-        <li> cuddAllocNode()
-        <li> cuddInitTable()
-        <li> cuddFreeTable()
-        <li> cuddGarbageCollect()
-        <li> cuddGarbageCollectZdd()
-        <li> cuddZddGetNode()
-        <li> cuddZddGetNodeIVO()
-        <li> cuddUniqueInter()
-        <li> cuddUniqueInterIVO()
-        <li> cuddUniqueInterZdd()
-        <li> cuddUniqueConst()
-        <li> cuddRehash()
-        <li> cuddShrinkSubtable()
-        <li> cuddInsertSubtables()
-        <li> cuddDestroySubtables()
-        <li> cuddResizeTableZdd()
-        <li> cuddSlowTableGrowth()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> ddRehashZdd()
-        <li> ddResizeTable()
-        <li> cuddFindParent()
-        <li> cuddOrderedInsert()
-        <li> cuddOrderedThread()
-        <li> cuddRotateLeft()
-        <li> cuddRotateRight()
-        <li> cuddDoRebalance()
-        <li> cuddCheckCollisionOrdering()
-        </ul>]
-
-  SeeAlso     []
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef DD_UNSORTED_FREE_LIST
-/* Constants for red/black trees. */
-#define DD_STACK_SIZE 128
-#define DD_RED   0
-#define DD_BLACK 1
-#define DD_PAGE_SIZE 8192
-#define DD_PAGE_MASK ~(DD_PAGE_SIZE - 1)
-#define DD_INSERT_COMPARE(x,y) \
-    (((ptruint) (x) & DD_PAGE_MASK) - ((ptruint) (y) & DD_PAGE_MASK))
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/* This is a hack for when CUDD_VALUE_TYPE is double */
-typedef union hack {
-    CUDD_VALUE_TYPE value;
-    unsigned int bits[2];
-} hack;
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddTable.c,v 1.1.1.1 2003/02/24 22:23:53 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-#ifndef DD_UNSORTED_FREE_LIST
-/* Macros for red/black trees. */
-#define DD_COLOR(p)  ((p)->index)
-#define DD_IS_BLACK(p) ((p)->index == DD_BLACK)
-#define DD_IS_RED(p) ((p)->index == DD_RED)
-#define DD_LEFT(p) cuddT(p)
-#define DD_RIGHT(p) cuddE(p)
-#define DD_NEXT(p) ((p)->next)
-#endif
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static void ddRehashZdd ARGS((DdManager *unique, int i));
-static int ddResizeTable ARGS((DdManager *unique, int index));
-static int cuddFindParent ARGS((DdManager *table, DdNode *node));
-DD_INLINE static void ddFixLimits ARGS((DdManager *unique));
-static void cuddOrderedInsert ARGS((DdNodePtr *root, DdNodePtr node));
-static DdNode * cuddOrderedThread ARGS((DdNode *root, DdNode *list));
-static void cuddRotateLeft ARGS((DdNodePtr *nodeP));
-static void cuddRotateRight ARGS((DdNodePtr *nodeP));
-static void cuddDoRebalance ARGS((DdNodePtr **stack, int stackN));
-static void ddPatchTree ARGS((DdManager *dd, MtrNode *treenode));
-#ifdef DD_DEBUG
-static int cuddCheckCollisionOrdering ARGS((DdManager *unique, int i, int j));
-#endif
-static void ddReportRefMess ARGS((DdManager *unique, int i, char *caller));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the next prime &gt;= p.]
-
-  Description []
-
-  SideEffects [None]
-
-******************************************************************************/
-unsigned int
-Cudd_Prime(
-  unsigned int  p)
-{
-    int i,pn;
-
-    p--;
-    do {
-        p++;
-        if (p&1) {
-        pn = 1;
-        i = 3;
-        while ((unsigned) (i * i) <= p) {
-        if (p % i == 0) {
-            pn = 0;
-            break;
-        }
-        i += 2;
-        }
-    } else {
-        pn = 0;
-    }
-    } while (!pn);
-    return(p);
-
-} /* end of Cudd_Prime */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Fast storage allocation for DdNodes in the table.]
-
-  Description [Fast storage allocation for DdNodes in the table. The
-  first 4 bytes of a chunk contain a pointer to the next block; the
-  rest contains DD_MEM_CHUNK spaces for DdNodes.  Returns a pointer to
-  a new node if successful; NULL is memory is full.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddDynamicAllocNode]
-
-******************************************************************************/
-DdNode *
-cuddAllocNode(
-  DdManager * unique)
-{
-    int i;
-    DdNodePtr *mem;
-    DdNode *list, *node;
-    extern void (*MMoutOfMemory)(long);
-    void (*saveHandler)(long);
-
-    if (unique->nextFree == NULL) {    /* free list is empty */
-    /* Check for exceeded limits. */
-    if ((unique->keys - unique->dead) + (unique->keysZ - unique->deadZ) >
-        unique->maxLive) {
-        unique->errorCode = CUDD_TOO_MANY_NODES;
-        return(NULL);
-    }
-    if (unique->stash == NULL || unique->memused > unique->maxmemhard) {
-        (void) cuddGarbageCollect(unique,1);
-        mem = NULL;
-    }
-    if (unique->nextFree == NULL) {
-        if (unique->memused > unique->maxmemhard) {
-        unique->errorCode = CUDD_MAX_MEM_EXCEEDED;
-        return(NULL);
-        }
-        /* Try to allocate a new block. */
-        saveHandler = MMoutOfMemory;
-        MMoutOfMemory = Cudd_OutOfMem;
-        mem = (DdNodePtr *) ALLOC(DdNode,DD_MEM_CHUNK + 1);
-        MMoutOfMemory = saveHandler;
-        if (mem == NULL) {
-        /* No more memory: Try collecting garbage. If this succeeds,
-        ** we end up with mem still NULL, but unique->nextFree !=
-        ** NULL. */
-        if (cuddGarbageCollect(unique,1) == 0) {
-            /* Last resort: Free the memory stashed away, if there
-            ** any. If this succeeeds, mem != NULL and
-            ** unique->nextFree still NULL. */
-            if (unique->stash != NULL) {
-            FREE(unique->stash);
-            unique->stash = NULL;
-            /* Inhibit resizing of tables. */
-            cuddSlowTableGrowth(unique);
-            /* Now try again. */
-            mem = (DdNodePtr *) ALLOC(DdNode,DD_MEM_CHUNK + 1);
-            }
-            if (mem == NULL) {
-            /* Out of luck. Call the default handler to do
-            ** whatever it specifies for a failed malloc.
-            ** If this handler returns, then set error code,
-            ** print warning, and return. */
-            (*MMoutOfMemory)(sizeof(DdNode)*(DD_MEM_CHUNK + 1));
-            unique->errorCode = CUDD_MEMORY_OUT;
-#ifdef DD_VERBOSE
-            (void) fprintf(unique->err,
-                       "cuddAllocNode: out of memory");
-            (void) fprintf(unique->err, "Memory in use = %ld\n",
-                       unique->memused);
-#endif
-            return(NULL);
-            }
-        }
-        }
-        if (mem != NULL) {    /* successful allocation; slice memory */
-        ptruint offset;
-        unique->memused += (DD_MEM_CHUNK + 1) * sizeof(DdNode);
-        mem[0] = (DdNodePtr) unique->memoryList;
-        unique->memoryList = mem;
-
-        /* Here we rely on the fact that a DdNode is as large
-        ** as 4 pointers.  */
-        offset = (ptruint) mem & (sizeof(DdNode) - 1);
-        mem += (sizeof(DdNode) - offset) / sizeof(DdNodePtr);
-        assert(((ptruint) mem & (sizeof(DdNode) - 1)) == 0);
-        list = (DdNode *) mem;
-
-        i = 1;
-        do {
-            list[i - 1].next = &list[i];
-        } while (++i < DD_MEM_CHUNK);
-
-        list[DD_MEM_CHUNK-1].next = NULL;
-
-        unique->nextFree = &list[0];
-        }
-    }
-    }
-    unique->allocated++;
-    node = unique->nextFree;
-    unique->nextFree = node->next;
-    return(node);
-
-} /* end of cuddAllocNode */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Creates and initializes the unique table.]
-
-  Description [Creates and initializes the unique table. Returns a pointer
-  to the table if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_Init cuddFreeTable]
-
-******************************************************************************/
-DdManager *
-cuddInitTable(
-  unsigned int numVars  /* Initial number of BDD variables (and subtables) */,
-  unsigned int numVarsZ /* Initial number of ZDD variables (and subtables) */,
-  unsigned int numSlots /* Initial size of the BDD subtables */,
-  unsigned int looseUpTo /* Limit for fast table growth */)
-{
-    DdManager    *unique = ALLOC(DdManager,1);
-    int        i, j;
-    DdNodePtr    *nodelist;
-    DdNode    *sentinel;
-    unsigned int slots;
-    int shift;
-
-    if (unique == NULL) {
-    return(NULL);
-    }
-    sentinel = &(unique->sentinel);
-    sentinel->ref = 0;
-    sentinel->index = 0;
-    cuddT(sentinel) = NULL;
-    cuddE(sentinel) = NULL;
-    sentinel->next = NULL;
-    unique->epsilon = DD_EPSILON;
-    unique->maxGrowth = DD_MAX_REORDER_GROWTH;
-    unique->maxGrowthAlt = 2.0 * DD_MAX_REORDER_GROWTH;
-    unique->reordCycle = 0;    /* do not use alternate threshold */
-    unique->size = numVars;
-    unique->sizeZ = numVarsZ;
-    unique->maxSize = ddMax(DD_DEFAULT_RESIZE, numVars);
-    unique->maxSizeZ = ddMax(DD_DEFAULT_RESIZE, numVarsZ);
-
-    /* Adjust the requested number of slots to a power of 2. */
-    slots = 8;
-    while (slots < numSlots) {
-    slots <<= 1;
-    }
-    unique->initSlots = slots;
-    shift = sizeof(int) * 8 - cuddComputeFloorLog2(slots);
-
-    unique->slots = (numVars + numVarsZ + 1) * slots;
-    unique->keys = 0;
-    unique->maxLive = ~0;    /* very large number */
-    unique->keysZ = 0;
-    unique->dead = 0;
-    unique->deadZ = 0;
-    unique->gcFrac = DD_GC_FRAC_HI;
-    unique->minDead = (unsigned) (DD_GC_FRAC_HI * (double) unique->slots);
-    unique->looseUpTo = looseUpTo;
-    unique->gcEnabled = 1;
-    unique->allocated = 0;
-    unique->reclaimed = 0;
-    unique->subtables = ALLOC(DdSubtable,unique->maxSize);
-    if (unique->subtables == NULL) {
-    unique->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    unique->subtableZ = ALLOC(DdSubtable,unique->maxSizeZ);
-    if (unique->subtableZ == NULL) {
-    unique->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    unique->perm = ALLOC(int,unique->maxSize);
-    if (unique->perm == NULL) {
-    unique->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    unique->invperm = ALLOC(int,unique->maxSize);
-    if (unique->invperm == NULL) {
-    unique->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    unique->permZ = ALLOC(int,unique->maxSizeZ);
-    if (unique->permZ == NULL) {
-    unique->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    unique->invpermZ = ALLOC(int,unique->maxSizeZ);
-    if (unique->invpermZ == NULL) {
-    unique->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    unique->map = NULL;
-    unique->stack = ALLOC(DdNodePtr,ddMax(unique->maxSize,unique->maxSizeZ)+1);
-    if (unique->stack == NULL) {
-    unique->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    unique->stack[0] = NULL; /* to suppress harmless UMR */
-
-#ifndef DD_NO_DEATH_ROW
-    unique->deathRowDepth = 1 << cuddComputeFloorLog2(unique->looseUpTo >> 2);
-    unique->deathRow = ALLOC(DdNodePtr,unique->deathRowDepth);
-    if (unique->deathRow == NULL) {
-    unique->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    for (i = 0; i < unique->deathRowDepth; i++) {
-    unique->deathRow[i] = NULL;
-    }
-    unique->nextDead = 0;
-    unique->deadMask = unique->deathRowDepth - 1;
-#endif
-
-    for (i = 0; (unsigned) i < numVars; i++) {
-    unique->subtables[i].slots = slots;
-    unique->subtables[i].shift = shift;
-    unique->subtables[i].keys = 0;
-    unique->subtables[i].dead = 0;
-    unique->subtables[i].maxKeys = slots * DD_MAX_SUBTABLE_DENSITY;
-    unique->subtables[i].bindVar = 0;
-    unique->subtables[i].varType = CUDD_VAR_PRIMARY_INPUT;
-    unique->subtables[i].pairIndex = 0;
-    unique->subtables[i].varHandled = 0;
-    unique->subtables[i].varToBeGrouped = CUDD_LAZY_NONE;
-
-    nodelist = unique->subtables[i].nodelist = ALLOC(DdNodePtr,slots);
-    if (nodelist == NULL) {
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(NULL);
-    }
-    for (j = 0; (unsigned) j < slots; j++) {
-        nodelist[j] = sentinel;
-    }
-    unique->perm[i] = i;
-    unique->invperm[i] = i;
-    }
-    for (i = 0; (unsigned) i < numVarsZ; i++) {
-    unique->subtableZ[i].slots = slots;
-    unique->subtableZ[i].shift = shift;
-    unique->subtableZ[i].keys = 0;
-    unique->subtableZ[i].dead = 0;
-    unique->subtableZ[i].maxKeys = slots * DD_MAX_SUBTABLE_DENSITY;
-    nodelist = unique->subtableZ[i].nodelist = ALLOC(DdNodePtr,slots);
-    if (nodelist == NULL) {
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(NULL);
-    }
-    for (j = 0; (unsigned) j < slots; j++) {
-        nodelist[j] = NULL;
-    }
-    unique->permZ[i] = i;
-    unique->invpermZ[i] = i;
-    }
-    unique->constants.slots = slots;
-    unique->constants.shift = shift;
-    unique->constants.keys = 0;
-    unique->constants.dead = 0;
-    unique->constants.maxKeys = slots * DD_MAX_SUBTABLE_DENSITY;
-    nodelist = unique->constants.nodelist = ALLOC(DdNodePtr,slots);
-    if (nodelist == NULL) {
-    unique->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    for (j = 0; (unsigned) j < slots; j++) {
-    nodelist[j] = NULL;
-    }
-
-    unique->memoryList = NULL;
-    unique->nextFree = NULL;
-
-    unique->memused = sizeof(DdManager) + (unique->maxSize + unique->maxSizeZ)
-    * (sizeof(DdSubtable) + 2 * sizeof(int)) + (numVars + 1) *
-    slots * sizeof(DdNodePtr) +
-    (ddMax(unique->maxSize,unique->maxSizeZ) + 1) * sizeof(DdNodePtr);
-#ifndef DD_NO_DEATH_ROW
-    unique->memused += unique->deathRowDepth * sizeof(DdNodePtr);
-#endif
-
-    /* Initialize fields concerned with automatic dynamic reordering */
-    unique->reorderings = 0;
-    unique->autoDyn = 0;    /* initially disabled */
-    unique->autoDynZ = 0;    /* initially disabled */
-    unique->realign = 0;    /* initially disabled */
-    unique->realignZ = 0;    /* initially disabled */
-    unique->reordered = 0;
-    unique->autoMethod = CUDD_REORDER_SIFT;
-    unique->autoMethodZ = CUDD_REORDER_SIFT;
-    unique->nextDyn = DD_FIRST_REORDER;
-    unique->countDead = ~0;
-    unique->siftMaxVar = DD_SIFT_MAX_VAR;
-    unique->siftMaxSwap = DD_SIFT_MAX_SWAPS;
-    unique->tree = NULL;
-    unique->treeZ = NULL;
-    unique->groupcheck = CUDD_GROUP_CHECK7;
-    unique->recomb = DD_DEFAULT_RECOMB;
-    unique->symmviolation = 0;
-    unique->arcviolation = 0;
-    unique->populationSize = 0;
-    unique->numberXovers = 0;
-    unique->linear = NULL;
-    unique->linearSize = 0;
-
-    /* Initialize ZDD universe. */
-    unique->univ = (DdNodePtr *)NULL;
-
-    /* Initialize auxiliary fields. */
-    unique->localCaches = NULL;
-    unique->preGCHook = NULL;
-    unique->postGCHook = NULL;
-    unique->preReorderingHook = NULL;
-    unique->postReorderingHook = NULL;
-    unique->out = stdout;
-    unique->err = stderr;
-    unique->errorCode = CUDD_NO_ERROR;
-
-    /* Initialize statistical counters. */
-    unique->maxmemhard = (long) ((~ (unsigned long) 0) >> 1);
-    unique->garbageCollections = 0;
-    unique->GCTime = 0;
-    unique->reordTime = 0;
-#ifdef DD_STATS
-    unique->nodesDropped = 0;
-    unique->nodesFreed = 0;
-#endif
-    unique->peakLiveNodes = 0;
-#ifdef DD_UNIQUE_PROFILE
-    unique->uniqueLookUps = 0;
-    unique->uniqueLinks = 0;
-#endif
-#ifdef DD_COUNT
-    unique->recursiveCalls = 0;
-    unique->swapSteps = 0;
-#ifdef DD_STATS
-    unique->nextSample = 250000;
-#endif
-#endif
-
-    return(unique);
-
-} /* end of cuddInitTable */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Frees the resources associated to a unique table.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [cuddInitTable]
-
-******************************************************************************/
-void
-cuddFreeTable(
-  DdManager * unique)
-{
-    DdNodePtr *next;
-    DdNodePtr *memlist = unique->memoryList;
-    int i;
-
-    if (unique->univ != NULL) cuddZddFreeUniv(unique);
-    while (memlist != NULL) {
-        next = (DdNodePtr *) memlist[0];    /* link to next block */
-    FREE(memlist);
-    memlist = next;
-    }
-    unique->nextFree = NULL;
-    unique->memoryList = NULL;
-
-    for (i = 0; i < unique->size; i++) {
-    FREE(unique->subtables[i].nodelist);
-    }
-    for (i = 0; i < unique->sizeZ; i++) {
-    FREE(unique->subtableZ[i].nodelist);
-    }
-    FREE(unique->constants.nodelist);
-    FREE(unique->subtables);
-    FREE(unique->subtableZ);
-    FREE(unique->acache);
-    FREE(unique->perm);
-    FREE(unique->permZ);
-    FREE(unique->invperm);
-    FREE(unique->invpermZ);
-    FREE(unique->vars);
-    if (unique->map != NULL) FREE(unique->map);
-    FREE(unique->stack);
-#ifndef DD_NO_DEATH_ROW
-    FREE(unique->deathRow);
-#endif
-    if (unique->tree != NULL) Mtr_FreeTree(unique->tree);
-    if (unique->treeZ != NULL) Mtr_FreeTree(unique->treeZ);
-    if (unique->linear != NULL) FREE(unique->linear);
-    while (unique->preGCHook != NULL)
-    Cudd_RemoveHook(unique,unique->preGCHook->f,CUDD_PRE_GC_HOOK);
-    while (unique->postGCHook != NULL)
-    Cudd_RemoveHook(unique,unique->postGCHook->f,CUDD_POST_GC_HOOK);
-    while (unique->preReorderingHook != NULL)
-    Cudd_RemoveHook(unique,unique->preReorderingHook->f,
-            CUDD_PRE_REORDERING_HOOK);
-    while (unique->postReorderingHook != NULL)
-    Cudd_RemoveHook(unique,unique->postReorderingHook->f,
-            CUDD_POST_REORDERING_HOOK);
-    FREE(unique);
-
-} /* end of cuddFreeTable */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs garbage collection on a unique table.]
-
-  Description [Performs garbage collection on a unique table.
-  If clearCache is 0, the cache is not cleared. This should only be
-  specified if the cache has been cleared right before calling
-  cuddGarbageCollect. (As in the case of dynamic reordering.)
-  Returns the total number of deleted nodes.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddGarbageCollectZdd]
-
-******************************************************************************/
-int
-cuddGarbageCollect(
-  DdManager * unique,
-  int  clearCache)
-{
-    DdHook    *hook;
-    DdCache    *cache = unique->cache;
-    DdNode    *sentinel = &(unique->sentinel);
-    DdNodePtr    *nodelist;
-    int        i, j, deleted, totalDeleted;
-    DdCache    *c;
-    DdNode    *node,*next;
-    DdNodePtr    *lastP;
-    int        slots;
-    long    localTime;
-#ifndef DD_UNSORTED_FREE_LIST
-    DdNodePtr    tree;
-#endif
-
-#ifndef DD_NO_DEATH_ROW
-    cuddClearDeathRow(unique);
-#endif
-
-    hook = unique->preGCHook;
-    while (hook != NULL) {
-    int res = (hook->f)(unique,"BDD",NULL);
-    if (res == 0) return(0);
-    hook = hook->next;
-    }
-
-    if (unique->dead == 0) {
-    hook = unique->postGCHook;
-    while (hook != NULL) {
-        int res = (hook->f)(unique,"BDD",NULL);
-        if (res == 0) return(0);
-        hook = hook->next;
-    }
-        return(0);
-    }
-
-    /* If many nodes are being reclaimed, we want to resize the tables
-    ** more aggressively, to reduce the frequency of garbage collection.
-    */
-    if (clearCache && unique->gcFrac == DD_GC_FRAC_LO &&
-    unique->slots <= unique->looseUpTo && unique->stash != NULL) {
-    unique->minDead = (unsigned) (DD_GC_FRAC_HI * (double) unique->slots);
-#ifdef DD_VERBOSE
-    (void) fprintf(unique->err,"GC fraction = %.2f\t", DD_GC_FRAC_HI);
-    (void) fprintf(unique->err,"minDead = %d\n", unique->minDead);
-#endif
-    unique->gcFrac = DD_GC_FRAC_HI;
-    return(0);
-    }
-
-    localTime = util_cpu_time();
-
-    unique->garbageCollections++;
-#ifdef DD_VERBOSE
-    (void) fprintf(unique->err,
-           "garbage collecting (%d dead out of %d, min %d)...",
-               unique->dead, unique->keys, unique->minDead);
-#endif
-
-    /* Remove references to garbage collected nodes from the cache. */
-    if (clearCache) {
-    slots = unique->cacheSlots;
-    for (i = 0; i < slots; i++) {
-        c = &cache[i];
-        if (c->data != NULL) {
-        if (cuddClean(c->f)->ref == 0 ||
-        cuddClean(c->g)->ref == 0 ||
-        (((ptruint)c->f & 0x2) && Cudd_Regular(c->h)->ref == 0) ||
-        (c->data != DD_NON_CONSTANT &&
-        Cudd_Regular(c->data)->ref == 0)) {
-            c->data = NULL;
-            unique->cachedeletions++;
-        }
-        }
-    }
-    cuddLocalCacheClearDead(unique);
-    }
-
-    /* Now return dead nodes to free list. Count them for sanity check. */
-    totalDeleted = 0;
-#ifndef DD_UNSORTED_FREE_LIST
-    tree = NULL;
-#endif
-
-    for (i = 0; i < unique->size; i++) {
-    if (unique->subtables[i].dead == 0) continue;
-    nodelist = unique->subtables[i].nodelist;
-
-    deleted = 0;
-    slots = unique->subtables[i].slots;
-    for (j = 0; j < slots; j++) {
-        lastP = &(nodelist[j]);
-        node = *lastP;
-        while (node != sentinel) {
-        next = node->next;
-        if (node->ref == 0) {
-            deleted++;
-#ifndef DD_UNSORTED_FREE_LIST
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-            cuddOrderedInsert(&tree,node);
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-#else
-            cuddDeallocNode(unique,node);
-#endif
-        } else {
-            *lastP = node;
-            lastP = &(node->next);
-        }
-        node = next;
-        }
-        *lastP = sentinel;
-    }
-    if ((unsigned) deleted != unique->subtables[i].dead) {
-        ddReportRefMess(unique, i, "cuddGarbageCollect");
-    }
-    totalDeleted += deleted;
-    unique->subtables[i].keys -= deleted;
-    unique->subtables[i].dead = 0;
-    }
-    if (unique->constants.dead != 0) {
-    nodelist = unique->constants.nodelist;
-    deleted = 0;
-    slots = unique->constants.slots;
-    for (j = 0; j < slots; j++) {
-        lastP = &(nodelist[j]);
-        node = *lastP;
-        while (node != NULL) {
-        next = node->next;
-        if (node->ref == 0) {
-            deleted++;
-#ifndef DD_UNSORTED_FREE_LIST
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-            cuddOrderedInsert(&tree,node);
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-#else
-            cuddDeallocNode(unique,node);
-#endif
-        } else {
-            *lastP = node;
-            lastP = &(node->next);
-        }        
-        node = next;
-        }
-        *lastP = NULL;
-    }
-    if ((unsigned) deleted != unique->constants.dead) {
-        ddReportRefMess(unique, CUDD_CONST_INDEX, "cuddGarbageCollect");
-    }
-    totalDeleted += deleted;
-    unique->constants.keys -= deleted;
-    unique->constants.dead = 0;
-    }
-    if ((unsigned) totalDeleted != unique->dead) {
-    ddReportRefMess(unique, -1, "cuddGarbageCollect");
-    }
-    unique->keys -= totalDeleted;
-    unique->dead = 0;
-#ifdef DD_STATS
-    unique->nodesFreed += (double) totalDeleted;
-#endif
-
-#ifndef DD_UNSORTED_FREE_LIST
-    unique->nextFree = cuddOrderedThread(tree,unique->nextFree);
-#endif
-
-    unique->GCTime += util_cpu_time() - localTime;
-
-    hook = unique->postGCHook;
-    while (hook != NULL) {
-    int res = (hook->f)(unique,"BDD",NULL);
-    if (res == 0) return(0);
-    hook = hook->next;
-    }
-
-#ifdef DD_VERBOSE
-    (void) fprintf(unique->err," done\n");
-#endif
-
-    return(totalDeleted);
-
-} /* end of cuddGarbageCollect */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs garbage collection on a ZDD unique table.]
-
-  Description [Performs garbage collection on a ZDD unique table.
-  If clearCache is 0, the cache is not cleared. This should only be
-  specified if the cache has been cleared right before calling
-  cuddGarbageCollectZdd. (As in the case of dynamic reordering.)
-  Returns the total number of deleted nodes.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddGarbageCollect]
-
-******************************************************************************/
-int
-cuddGarbageCollectZdd(
-  DdManager * unique,
-  int  clearCache)
-{
-    DdHook    *hook;
-    DdCache    *cache = unique->cache;
-    DdNodePtr    *nodelist;
-    int        i, j, deleted, totalDeleted;
-    DdCache    *c;
-    DdNode    *node,*next;
-    DdNodePtr    *lastP;
-    int        slots;
-    long    localTime;
-#ifndef DD_UNSORTED_FREE_LIST
-    DdNodePtr    tree;
-#endif
-
-    hook = unique->preGCHook;
-    while (hook != NULL) {
-    int res = (hook->f)(unique,"ZDD",NULL);
-    if (res == 0) return(0);
-    hook = hook->next;
-    }
-
-    if (unique->deadZ == 0) {
-    hook = unique->postGCHook;
-    while (hook != NULL) {
-        int res = (hook->f)(unique,"ZDD",NULL);
-        if (res == 0) return(0);
-        hook = hook->next;
-    }
-        return(0);
-    }
-
-    /* If many nodes are being reclaimed, we want to resize the tables
-    ** more aggressively, to reduce the frequency of garbage collection.
-    */
-    if (clearCache && unique->slots <= unique->looseUpTo) {
-    unique->minDead = (unsigned) (DD_GC_FRAC_HI * (double) unique->slots);
-#ifdef DD_VERBOSE
-    if (unique->gcFrac == DD_GC_FRAC_LO) {
-        (void) fprintf(unique->err,"GC fraction = %.2f\t",
-               DD_GC_FRAC_HI);
-        (void) fprintf(unique->err,"minDead = %d\n", unique->minDead);
-    }
-#endif
-    unique->gcFrac = DD_GC_FRAC_HI;
-    }
-
-    localTime = util_cpu_time();
-
-    unique->garbageCollections++;
-#ifdef DD_VERBOSE
-    (void) fprintf(unique->err,"garbage collecting (%d dead out of %d)...",
-               unique->deadZ,unique->keysZ);
-#endif
-
-    /* Remove references to garbage collected nodes from the cache. */
-    if (clearCache) {
-    slots = unique->cacheSlots;
-    for (i = 0; i < slots; i++) {
-        c = &cache[i];
-        if (c->data != NULL) {
-        if (cuddClean(c->f)->ref == 0 ||
-        cuddClean(c->g)->ref == 0 ||
-        (((ptruint)c->f & 0x2) && Cudd_Regular(c->h)->ref == 0) ||
-        (c->data != DD_NON_CONSTANT &&
-        Cudd_Regular(c->data)->ref == 0)) {
-            c->data = NULL;
-            unique->cachedeletions++;
-        }
-        }
-    }
-    }
-
-    /* Now return dead nodes to free list. Count them for sanity check. */
-    totalDeleted = 0;
-#ifndef DD_UNSORTED_FREE_LIST
-    tree = NULL;
-#endif
-
-    for (i = 0; i < unique->sizeZ; i++) {
-    if (unique->subtableZ[i].dead == 0) continue;
-    nodelist = unique->subtableZ[i].nodelist;
-
-    deleted = 0;
-    slots = unique->subtableZ[i].slots;
-    for (j = 0; j < slots; j++) {
-        lastP = &(nodelist[j]);
-        node = *lastP;
-        while (node != NULL) {
-        next = node->next;
-        if (node->ref == 0) {
-            deleted++;
-#ifndef DD_UNSORTED_FREE_LIST
-#ifdef __osf__
-#pragma pointer_size save
-#pragma pointer_size short
-#endif
-            cuddOrderedInsert(&tree,node);
-#ifdef __osf__
-#pragma pointer_size restore
-#endif
-#else
-            cuddDeallocNode(unique,node);
-#endif
-        } else {
-            *lastP = node;
-            lastP = &(node->next);
-        }        
-        node = next;
-        }
-        *lastP = NULL;
-    }
-    if ((unsigned) deleted != unique->subtableZ[i].dead) {
-        ddReportRefMess(unique, i, "cuddGarbageCollectZdd");
-    }
-    totalDeleted += deleted;
-    unique->subtableZ[i].keys -= deleted;
-    unique->subtableZ[i].dead = 0;
-    }
-
-    /* No need to examine the constant table for ZDDs.
-    ** If we did we should be careful not to count whatever dead
-    ** nodes we found there among the dead ZDD nodes. */
-    if ((unsigned) totalDeleted != unique->deadZ) {
-    ddReportRefMess(unique, -1, "cuddGarbageCollectZdd");
-    }
-    unique->keysZ -= totalDeleted;
-    unique->deadZ = 0;
-#ifdef DD_STATS
-    unique->nodesFreed += (double) totalDeleted;
-#endif
-
-#ifndef DD_UNSORTED_FREE_LIST
-    unique->nextFree = cuddOrderedThread(tree,unique->nextFree);
-#endif
-
-    unique->GCTime += util_cpu_time() - localTime;
-
-    hook = unique->postGCHook;
-    while (hook != NULL) {
-    int res = (hook->f)(unique,"ZDD",NULL);
-    if (res == 0) return(0);
-    hook = hook->next;
-    }
-
-#ifdef DD_VERBOSE
-    (void) fprintf(unique->err," done\n");
-#endif
-
-    return(totalDeleted);
-
-} /* end of cuddGarbageCollectZdd */
-
-
-/**Function********************************************************************
-
-  Synopsis [Wrapper for cuddUniqueInterZdd.]
-
-  Description [Wrapper for cuddUniqueInterZdd, which applies the ZDD
-  reduction rule. Returns a pointer to the result node under normal
-  conditions; NULL if reordering occurred or memory was exhausted.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddUniqueInterZdd]
-
-******************************************************************************/
-DdNode *
-cuddZddGetNode(
-  DdManager * zdd,
-  int  id,
-  DdNode * T,
-  DdNode * E)
-{
-    DdNode    *node;
-
-    if (T == DD_ZERO(zdd))
-    return(E);
-    node = cuddUniqueInterZdd(zdd, id, T, E);
-    return(node);
-
-} /* end of cuddZddGetNode */
-
-
-/**Function********************************************************************
-
-  Synopsis [Wrapper for cuddUniqueInterZdd that is independent of variable
-  ordering.]
-
-  Description [Wrapper for cuddUniqueInterZdd that is independent of
-  variable ordering (IVO). This function does not require parameter
-  index to precede the indices of the top nodes of g and h in the
-  variable order.  Returns a pointer to the result node under normal
-  conditions; NULL if reordering occurred or memory was exhausted.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddZddGetNode cuddZddIsop]
-
-******************************************************************************/
-DdNode *
-cuddZddGetNodeIVO(
-  DdManager * dd,
-  int  index,
-  DdNode * g,
-  DdNode * h)
-{
-    DdNode    *f, *r, *t;
-    DdNode    *zdd_one = DD_ONE(dd);
-    DdNode    *zdd_zero = DD_ZERO(dd);
-
-    f = cuddUniqueInterZdd(dd, index, zdd_one, zdd_zero);
-    if (f == NULL) {
-    return(NULL);
-    }
-    cuddRef(f);
-    t = cuddZddProduct(dd, f, g);
-    if (t == NULL) {
-    Cudd_RecursiveDerefZdd(dd, f);
-    return(NULL);
-    }
-    cuddRef(t);
-    Cudd_RecursiveDerefZdd(dd, f);
-    r = cuddZddUnion(dd, t, h);
-    if (r == NULL) {
-    Cudd_RecursiveDerefZdd(dd, t);
-    return(NULL);
-    }
-    cuddRef(r);
-    Cudd_RecursiveDerefZdd(dd, t);
-
-    cuddDeref(r);
-    return(r);
-
-} /* end of cuddZddGetNodeIVO */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks the unique table for the existence of an internal node.]
-
-  Description [Checks the unique table for the existence of an internal
-  node. If it does not exist, it creates a new one.  Does not
-  modify the reference count of whatever is returned.  A newly created
-  internal node comes back with a reference count 0.  For a newly
-  created node, increments the reference counts of what T and E point
-  to.  Returns a pointer to the new node if successful; NULL if memory
-  is exhausted or if reordering took place.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddUniqueInterZdd]
-
-******************************************************************************/
-DdNode *
-cuddUniqueInter(
-  DdManager * unique,
-  int  index,
-  DdNode * T,
-  DdNode * E)
-{
-    int pos;
-    unsigned int level;
-    int retval;
-    DdNodePtr *nodelist;
-    DdNode *looking;
-    DdNodePtr *previousP;
-    DdSubtable *subtable;
-    int gcNumber;
-
-#ifdef DD_UNIQUE_PROFILE
-    unique->uniqueLookUps++;
-#endif
-
-    if (index >= unique->size) {
-    if (!ddResizeTable(unique,index)) return(NULL);
-    }
-
-    level = unique->perm[index];
-    subtable = &(unique->subtables[level]);
-
-#ifdef DD_DEBUG
-    assert(level < (unsigned) cuddI(unique,T->index));
-    assert(level < (unsigned) cuddI(unique,Cudd_Regular(E)->index));
-#endif
-
-    pos = ddHash(T, E, subtable->shift);
-    nodelist = subtable->nodelist;
-    previousP = &(nodelist[pos]);
-    looking = *previousP;
-
-    while (T < cuddT(looking)) {
-    previousP = &(looking->next);
-    looking = *previousP;
-#ifdef DD_UNIQUE_PROFILE
-    unique->uniqueLinks++;
-#endif
-    }
-    while (T == cuddT(looking) && E < cuddE(looking)) {
-    previousP = &(looking->next);
-    looking = *previousP;
-#ifdef DD_UNIQUE_PROFILE
-    unique->uniqueLinks++;
-#endif
-    }
-    if (T == cuddT(looking) && E == cuddE(looking)) {
-    if (looking->ref == 0) {
-        cuddReclaim(unique,looking);
-    }
-    return(looking);
-    }
-
-    /* countDead is 0 if deads should be counted and ~0 if they should not. */
-    if (unique->autoDyn &&
-    unique->keys - (unique->dead & unique->countDead) >= unique->nextDyn) {
-#ifdef DD_DEBUG
-    retval = Cudd_DebugCheck(unique);
-    if (retval != 0) return(NULL);
-    retval = Cudd_CheckKeys(unique);
-    if (retval != 0) return(NULL);
-#endif
-    retval = Cudd_ReduceHeap(unique,unique->autoMethod,10); /* 10 = whatever */
-    if (retval == 0) unique->reordered = 2;
-#ifdef DD_DEBUG
-    retval = Cudd_DebugCheck(unique);
-    if (retval != 0) unique->reordered = 2;
-    retval = Cudd_CheckKeys(unique);
-    if (retval != 0) unique->reordered = 2;
-#endif
-    return(NULL);
-    }
-
-    if (subtable->keys > subtable->maxKeys) {
-        if (unique->gcEnabled &&
-        ((unique->dead > unique->minDead) ||
-        ((unique->dead > unique->minDead / 2) &&
-        (subtable->dead > subtable->keys * 0.95)))) { /* too many dead */
-        (void) cuddGarbageCollect(unique,1);
-    } else {
-        cuddRehash(unique,(int)level);
-    }
-    /* Update pointer to insertion point. In the case of rehashing,
-    ** the slot may have changed. In the case of garbage collection,
-    ** the predecessor may have been dead. */
-    pos = ddHash(T, E, subtable->shift);
-    nodelist = subtable->nodelist;
-    previousP = &(nodelist[pos]);
-    looking = *previousP;
-
-    while (T < cuddT(looking)) {
-        previousP = &(looking->next);
-        looking = *previousP;
-#ifdef DD_UNIQUE_PROFILE
-        unique->uniqueLinks++;
-#endif
-    }
-    while (T == cuddT(looking) && E < cuddE(looking)) {
-        previousP = &(looking->next);
-        looking = *previousP;
-#ifdef DD_UNIQUE_PROFILE
-        unique->uniqueLinks++;
-#endif
-    }
-    }
-
-    gcNumber = unique->garbageCollections;
-    looking = cuddAllocNode(unique);
-    if (looking == NULL) {
-    return(NULL);
-    }
-    unique->keys++;
-    subtable->keys++;
-
-    if (gcNumber != unique->garbageCollections) {
-    DdNode *looking2;
-    pos = ddHash(T, E, subtable->shift);
-    nodelist = subtable->nodelist;
-    previousP = &(nodelist[pos]);
-    looking2 = *previousP;
-
-    while (T < cuddT(looking2)) {
-        previousP = &(looking2->next);
-        looking2 = *previousP;
-#ifdef DD_UNIQUE_PROFILE
-        unique->uniqueLinks++;
-#endif
-    }
-    while (T == cuddT(looking2) && E < cuddE(looking2)) {
-        previousP = &(looking2->next);
-        looking2 = *previousP;
-#ifdef DD_UNIQUE_PROFILE
-        unique->uniqueLinks++;
-#endif
-    }
-    }
-    looking->ref = 0;
-    looking->index = index;
-    cuddT(looking) = T;
-    cuddE(looking) = E;
-    looking->next = *previousP;
-    *previousP = looking;
-    cuddSatInc(T->ref);        /* we know T is a regular pointer */
-    cuddRef(E);
-
-#ifdef DD_DEBUG
-    cuddCheckCollisionOrdering(unique,level,pos);
-#endif
-
-    return(looking);
-
-} /* end of cuddUniqueInter */
-
-
-/**Function********************************************************************
-
-  Synopsis [Wrapper for cuddUniqueInter that is independent of variable
-  ordering.]
-
-  Description [Wrapper for cuddUniqueInter that is independent of
-  variable ordering (IVO). This function does not require parameter
-  index to precede the indices of the top nodes of T and E in the
-  variable order.  Returns a pointer to the result node under normal
-  conditions; NULL if reordering occurred or memory was exhausted.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddUniqueInter Cudd_MakeBddFromZddCover]
-
-******************************************************************************/
-DdNode *
-cuddUniqueInterIVO(
-  DdManager * unique,
-  int  index,
-  DdNode * T,
-  DdNode * E)
-{
-    DdNode *result;
-    DdNode *v;
-
-    v = cuddUniqueInter(unique, index, DD_ONE(unique),
-            Cudd_Not(DD_ONE(unique)));
-    if (v == NULL)
-    return(NULL);
-    cuddRef(v);
-    result = cuddBddIteRecur(unique, v, T, E);
-    Cudd_RecursiveDeref(unique, v);
-    return(result);
-}
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks the unique table for the existence of an internal
-  ZDD node.]
-
-  Description [Checks the unique table for the existence of an internal
-  ZDD node. If it does not exist, it creates a new one.  Does not
-  modify the reference count of whatever is returned.  A newly created
-  internal node comes back with a reference count 0.  For a newly
-  created node, increments the reference counts of what T and E point
-  to.  Returns a pointer to the new node if successful; NULL if memory
-  is exhausted or if reordering took place.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddUniqueInter]
-
-******************************************************************************/
-DdNode *
-cuddUniqueInterZdd(
-  DdManager * unique,
-  int  index,
-  DdNode * T,
-  DdNode * E)
-{
-    int pos;
-    unsigned int level;
-    int retval;
-    DdNodePtr *nodelist;
-    DdNode *looking;
-    DdSubtable *subtable;
-
-#ifdef DD_UNIQUE_PROFILE
-    unique->uniqueLookUps++;
-#endif
-
-    if (index >= unique->sizeZ) {
-    if (!cuddResizeTableZdd(unique,index)) return(NULL);
-    }
-
-    level = unique->permZ[index];
-    subtable = &(unique->subtableZ[level]);
-
-#ifdef DD_DEBUG
-    assert(level < (unsigned) cuddIZ(unique,T->index));
-    assert(level < (unsigned) cuddIZ(unique,Cudd_Regular(E)->index));
-#endif
-
-    if (subtable->keys > subtable->maxKeys) {
-        if (unique->gcEnabled && ((unique->deadZ > unique->minDead) ||
-    (10 * subtable->dead > 9 * subtable->keys))) {     /* too many dead */
-        (void) cuddGarbageCollectZdd(unique,1);
-    } else {
-        ddRehashZdd(unique,(int)level);
-    }
-    }
-
-    pos = ddHash(T, E, subtable->shift);
-    nodelist = subtable->nodelist;
-    looking = nodelist[pos];
-
-    while (looking != NULL) {
-        if (cuddT(looking) == T && cuddE(looking) == E) {
-        if (looking->ref == 0) {
-        cuddReclaimZdd(unique,looking);
-        }
-        return(looking);
-    }
-    looking = looking->next;
-#ifdef DD_UNIQUE_PROFILE
-    unique->uniqueLinks++;
-#endif
-    }
-
-    /* countDead is 0 if deads should be counted and ~0 if they should not. */
-    if (unique->autoDynZ &&
-    unique->keysZ - (unique->deadZ & unique->countDead) >= unique->nextDyn) {
-#ifdef DD_DEBUG
-    retval = Cudd_DebugCheck(unique);
-    if (retval != 0) return(NULL);
-    retval = Cudd_CheckKeys(unique);
-    if (retval != 0) return(NULL);
-#endif
-    retval = Cudd_zddReduceHeap(unique,unique->autoMethodZ,10); /* 10 = whatever */
-    if (retval == 0) unique->reordered = 2;
-#ifdef DD_DEBUG
-    retval = Cudd_DebugCheck(unique);
-    if (retval != 0) unique->reordered = 2;
-    retval = Cudd_CheckKeys(unique);
-    if (retval != 0) unique->reordered = 2;
-#endif
-    return(NULL);
-    }
-
-    unique->keysZ++;
-    subtable->keys++;
-
-    looking = cuddAllocNode(unique);
-    if (looking == NULL) return(NULL);
-    looking->ref = 0;
-    looking->index = index;
-    cuddT(looking) = T;
-    cuddE(looking) = E;
-    looking->next = nodelist[pos];
-    nodelist[pos] = looking;
-    cuddRef(T);
-    cuddRef(E);
-
-    return(looking);
-
-} /* end of cuddUniqueInterZdd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks the unique table for the existence of a constant node.]
-
-  Description [Checks the unique table for the existence of a constant node.
-  If it does not exist, it creates a new one.  Does not
-  modify the reference count of whatever is returned.  A newly created
-  internal node comes back with a reference count 0.  Returns a
-  pointer to the new node.]
-
-  SideEffects [None]
-
-******************************************************************************/
-DdNode *
-cuddUniqueConst(
-  DdManager * unique,
-  CUDD_VALUE_TYPE  value)
-{
-    int pos;
-    DdNodePtr *nodelist;
-    DdNode *looking;
-    hack split;
-
-#ifdef DD_UNIQUE_PROFILE
-    unique->uniqueLookUps++;
-#endif
-
-    if (unique->constants.keys > unique->constants.maxKeys) {
-        if (unique->gcEnabled && ((unique->dead > unique->minDead) ||
-    (10 * unique->constants.dead > 9 * unique->constants.keys))) {     /* too many dead */
-        (void) cuddGarbageCollect(unique,1);
-    } else {
-        cuddRehash(unique,CUDD_CONST_INDEX);
-    }
-    }
-
-    cuddAdjust(value); /* for the case of crippled infinities */
-
-    if (ddAbs(value) < unique->epsilon) {
-    value = 0.0;
-    }
-    split.value = value;
-
-    pos = ddHash(split.bits[0], split.bits[1], unique->constants.shift);
-    nodelist = unique->constants.nodelist;
-    looking = nodelist[pos];
-
-    /* Here we compare values both for equality and for difference less
-     * than epsilon. The first comparison is required when values are
-     * infinite, since Infinity - Infinity is NaN and NaN < X is 0 for
-     * every X.
-     */
-    while (looking != NULL) {
-        if (looking->type.value == value ||
-    ddEqualVal(looking->type.value,value,unique->epsilon)) {
-        if (looking->ref == 0) {
-        cuddReclaim(unique,looking);
-        }
-        return(looking);
-    }
-    looking = looking->next;
-#ifdef DD_UNIQUE_PROFILE
-    unique->uniqueLinks++;
-#endif
-    }
-
-    unique->keys++;
-    unique->constants.keys++;
-
-    looking = cuddAllocNode(unique);
-    if (looking == NULL) return(NULL);
-    looking->ref = 0;
-    looking->index = CUDD_CONST_INDEX;
-    looking->type.value = value;
-    looking->next = nodelist[pos];
-    nodelist[pos] = looking;
-
-    return(looking);
-
-} /* end of cuddUniqueConst */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Rehashes a unique subtable.]
-
-  Description [Doubles the size of a unique subtable and rehashes its
-  contents.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-cuddRehash(
-  DdManager * unique,
-  int i)
-{
-    unsigned int slots, oldslots;
-    int shift, oldshift;
-    int j, pos;
-    DdNodePtr *nodelist, *oldnodelist;
-    DdNode *node, *next;
-    DdNode *sentinel = &(unique->sentinel);
-    hack split;
-    extern void (*MMoutOfMemory)(long);
-    void (*saveHandler)(long);
-
-    if (unique->gcFrac == DD_GC_FRAC_HI && unique->slots > unique->looseUpTo) {
-    unique->gcFrac = DD_GC_FRAC_LO;
-    unique->minDead = (unsigned) (DD_GC_FRAC_LO * (double) unique->slots);
-#ifdef DD_VERBOSE
-    (void) fprintf(unique->err,"GC fraction = %.2f\t", DD_GC_FRAC_LO);
-    (void) fprintf(unique->err,"minDead = %d\n", unique->minDead);
-#endif
-    }
-
-    if (unique->gcFrac != DD_GC_FRAC_MIN && unique->memused > unique->maxmem) {
-    unique->gcFrac = DD_GC_FRAC_MIN;
-    unique->minDead = (unsigned) (DD_GC_FRAC_MIN * (double) unique->slots);
-#ifdef DD_VERBOSE
-    (void) fprintf(unique->err,"GC fraction = %.2f\t", DD_GC_FRAC_MIN);
-    (void) fprintf(unique->err,"minDead = %d\n", unique->minDead);
-#endif
-    cuddShrinkDeathRow(unique);
-    if (cuddGarbageCollect(unique,1) > 0) return;
-    }
-
-    if (i != CUDD_CONST_INDEX) {
-    oldslots = unique->subtables[i].slots;
-    oldshift = unique->subtables[i].shift;
-    oldnodelist = unique->subtables[i].nodelist;
-
-    /* Compute the new size of the subtable. */
-    slots = oldslots << 1;
-    shift = oldshift - 1;
-
-    saveHandler = MMoutOfMemory;
-    MMoutOfMemory = Cudd_OutOfMem;
-    nodelist = ALLOC(DdNodePtr, slots);
-    MMoutOfMemory = saveHandler;
-    if (nodelist == NULL) {
-        (void) fprintf(unique->err,
-               "Unable to resize subtable %d for lack of memory\n",
-               i);
-        /* Prevent frequent resizing attempts. */
-        (void) cuddGarbageCollect(unique,1);
-        if (unique->stash != NULL) {
-        FREE(unique->stash);
-        unique->stash = NULL;
-        /* Inhibit resizing of tables. */
-        cuddSlowTableGrowth(unique);
-        }
-        return;
-    }
-    unique->subtables[i].nodelist = nodelist;
-    unique->subtables[i].slots = slots;
-    unique->subtables[i].shift = shift;
-    unique->subtables[i].maxKeys = slots * DD_MAX_SUBTABLE_DENSITY;
-
-    /* Move the nodes from the old table to the new table.
-    ** This code depends on the type of hash function.
-    ** It assumes that the effect of doubling the size of the table
-    ** is to retain one more bit of the 32-bit hash value.
-    ** The additional bit is the LSB. */
-    for (j = 0; (unsigned) j < oldslots; j++) {
-        DdNodePtr *evenP, *oddP;
-        node = oldnodelist[j];
-        evenP = &(nodelist[j<<1]);
-        oddP = &(nodelist[(j<<1)+1]);
-        while (node != sentinel) {
-        next = node->next;
-        pos = ddHash(cuddT(node), cuddE(node), shift);
-        if (pos & 1) {
-            *oddP = node;
-            oddP = &(node->next);
-        } else {
-            *evenP = node;
-            evenP = &(node->next);
-        }
-        node = next;
-        }
-        *evenP = *oddP = sentinel;
-    }
-    FREE(oldnodelist);
-
-#ifdef DD_VERBOSE
-    (void) fprintf(unique->err,
-               "rehashing layer %d: keys %d dead %d new size %d\n",
-               i, unique->subtables[i].keys,
-               unique->subtables[i].dead, slots);
-#endif
-    } else {
-    oldslots = unique->constants.slots;
-    oldshift = unique->constants.shift;
-    oldnodelist = unique->constants.nodelist;
-
-    /* The constant subtable is never subjected to reordering.
-    ** Therefore, when it is resized, it is because it has just
-    ** reached the maximum load. We can safely just double the size,
-    ** with no need for the loop we use for the other tables.
-    */
-    slots = oldslots << 1;
-    shift = oldshift - 1;
-    saveHandler = MMoutOfMemory;
-    MMoutOfMemory = Cudd_OutOfMem;
-    nodelist = ALLOC(DdNodePtr, slots);
-    MMoutOfMemory = saveHandler;
-    if (nodelist == NULL) {
-        int j;
-        (void) fprintf(unique->err,
-               "Unable to resize constant subtable for lack of memory\n");
-        (void) cuddGarbageCollect(unique,1);
-        for (j = 0; j < unique->size; j++) {
-        unique->subtables[j].maxKeys <<= 1;
-        }
-        unique->constants.maxKeys <<= 1;
-        return;
-    }
-    unique->constants.slots = slots;
-    unique->constants.shift = shift;
-    unique->constants.maxKeys = slots * DD_MAX_SUBTABLE_DENSITY;
-    unique->constants.nodelist = nodelist;
-    for (j = 0; (unsigned) j < slots; j++) {
-        nodelist[j] = NULL;
-    }
-    for (j = 0; (unsigned) j < oldslots; j++) {
-        node = oldnodelist[j];
-        while (node != NULL) {
-        next = node->next;
-        split.value = cuddV(node);
-        pos = ddHash(split.bits[0], split.bits[1], shift);
-        node->next = nodelist[pos];
-        nodelist[pos] = node;
-        node = next;
-        }
-    }
-    FREE(oldnodelist);
-
-#ifdef DD_VERBOSE
-    (void) fprintf(unique->err,
-               "rehashing constants: keys %d dead %d new size %d\n",
-               unique->constants.keys,unique->constants.dead,slots);
-#endif
-    }
-
-    /* Update global data */
-
-    unique->memused += (slots - oldslots) * sizeof(DdNodePtr);
-    unique->slots += (slots - oldslots);
-    ddFixLimits(unique);
-
-} /* end of cuddRehash */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Shrinks a subtable.]
-
-  Description [Shrinks a subtable.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddRehash]
-
-******************************************************************************/
-void
-cuddShrinkSubtable(
-  DdManager *unique,
-  int i)
-{
-    int j;
-    int shift, posn;
-    DdNodePtr *nodelist, *oldnodelist;
-    DdNode *node, *next;
-    DdNode *sentinel = &(unique->sentinel);
-    unsigned int slots, oldslots;
-    extern void (*MMoutOfMemory)(long);
-    void (*saveHandler)(long);
-
-    oldnodelist = unique->subtables[i].nodelist;
-    oldslots = unique->subtables[i].slots;
-    slots = oldslots >> 1;
-    saveHandler = MMoutOfMemory;
-    MMoutOfMemory = Cudd_OutOfMem;
-    nodelist = ALLOC(DdNodePtr, slots);
-    MMoutOfMemory = saveHandler;
-    if (nodelist == NULL) {
-    return;
-    }
-    unique->subtables[i].nodelist = nodelist;
-    unique->subtables[i].slots = slots;
-    unique->subtables[i].shift++;
-    unique->subtables[i].maxKeys = slots * DD_MAX_SUBTABLE_DENSITY;
-#ifdef DD_VERBOSE
-    (void) fprintf(unique->err,
-           "shrunk layer %d (%d keys) from %d to %d slots\n",
-           i, unique->subtables[i].keys, oldslots, slots);
-#endif
-
-    for (j = 0; (unsigned) j < slots; j++) {
-    nodelist[j] = sentinel;
-    }
-    shift = unique->subtables[i].shift;
-    for (j = 0; (unsigned) j < oldslots; j++) {
-    node = oldnodelist[j];
-    while (node != sentinel) {
-        DdNode *looking, *T, *E;
-        DdNodePtr *previousP;
-        next = node->next;
-        posn = ddHash(cuddT(node), cuddE(node), shift);
-        previousP = &(nodelist[posn]);
-        looking = *previousP;
-        T = cuddT(node);
-        E = cuddE(node);
-        while (T < cuddT(looking)) {
-        previousP = &(looking->next);
-        looking = *previousP;
-#ifdef DD_UNIQUE_PROFILE
-        unique->uniqueLinks++;
-#endif
-        }
-        while (T == cuddT(looking) && E < cuddE(looking)) {
-        previousP = &(looking->next);
-        looking = *previousP;
-#ifdef DD_UNIQUE_PROFILE
-        unique->uniqueLinks++;
-#endif
-        }
-        node->next = *previousP;
-        *previousP = node;
-        node = next;
-    }
-    }
-    FREE(oldnodelist);
-
-    unique->memused += ((long) slots - (long) oldslots) * sizeof(DdNode *);
-    unique->slots += slots - oldslots;
-    unique->minDead = (unsigned) (unique->gcFrac * (double) unique->slots);
-    unique->cacheSlack = (int)
-    ddMin(unique->maxCacheHard,DD_MAX_CACHE_TO_SLOTS_RATIO * unique->slots)
-    - 2 * (int) unique->cacheSlots;
-
-} /* end of cuddShrinkSubtable */
-
-
-/**Function********************************************************************
-
-  Synopsis [Inserts n new subtables in a unique table at level.]
-
-  Description [Inserts n new subtables in a unique table at level.
-  The number n should be positive, and level should be an existing level.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddDestroySubtables]
-
-******************************************************************************/
-int
-cuddInsertSubtables(
-  DdManager * unique,
-  int  n,
-  int  level)
-{
-    DdSubtable *newsubtables;
-    DdNodePtr *newnodelist;
-    DdNodePtr *newvars;
-    DdNode *sentinel = &(unique->sentinel);
-    int oldsize,newsize;
-    int i,j,index,reorderSave;
-    unsigned int numSlots = unique->initSlots;
-    int *newperm, *newinvperm, *newmap;
-    DdNode *one, *zero;
-
-#ifdef DD_DEBUG
-    assert(n > 0 && level < unique->size);
-#endif
-
-    oldsize = unique->size;
-    /* Easy case: there is still room in the current table. */
-    if (oldsize + n <= unique->maxSize) {
-    /* Shift the tables at and below level. */
-    for (i = oldsize - 1; i >= level; i--) {
-        unique->subtables[i+n].slots    = unique->subtables[i].slots;
-        unique->subtables[i+n].shift    = unique->subtables[i].shift;
-        unique->subtables[i+n].keys     = unique->subtables[i].keys;
-        unique->subtables[i+n].maxKeys  = unique->subtables[i].maxKeys;
-        unique->subtables[i+n].dead     = unique->subtables[i].dead;
-        unique->subtables[i+n].nodelist = unique->subtables[i].nodelist;
-        unique->subtables[i+n].bindVar  = unique->subtables[i].bindVar;
-        unique->subtables[i+n].varType  = unique->subtables[i].varType;
-        unique->subtables[i+n].pairIndex  = unique->subtables[i].pairIndex;
-        unique->subtables[i+n].varHandled = unique->subtables[i].varHandled;
-        unique->subtables[i+n].varToBeGrouped =
-        unique->subtables[i].varToBeGrouped;
-
-        index                           = unique->invperm[i];
-        unique->invperm[i+n]            = index;
-        unique->perm[index]            += n;
-    }
-    /* Create new subtables. */
-    for (i = 0; i < n; i++) {
-        unique->subtables[level+i].slots = numSlots;
-        unique->subtables[level+i].shift = sizeof(int) * 8 -
-        cuddComputeFloorLog2(numSlots);
-        unique->subtables[level+i].keys = 0;
-        unique->subtables[level+i].maxKeys = numSlots * DD_MAX_SUBTABLE_DENSITY;
-        unique->subtables[level+i].dead = 0;
-        unique->subtables[level+i].bindVar = 0;
-        unique->subtables[level+i].varType = CUDD_VAR_PRIMARY_INPUT;
-        unique->subtables[level+i].pairIndex = 0;
-        unique->subtables[level+i].varHandled = 0;
-        unique->subtables[level+i].varToBeGrouped = CUDD_LAZY_NONE;
-
-        unique->perm[oldsize+i] = level + i;
-        unique->invperm[level+i] = oldsize + i;
-        newnodelist = unique->subtables[level+i].nodelist =
-        ALLOC(DdNodePtr, numSlots);
-        if (newnodelist == NULL) {
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        for (j = 0; j < numSlots; j++) {
-        newnodelist[j] = sentinel;
-        }
-    }
-    if (unique->map != NULL) {
-        for (i = 0; i < n; i++) {
-        unique->map[oldsize+i] = oldsize + i;
-        }
-    }
-    } else {
-    /* The current table is too small: we need to allocate a new,
-    ** larger one; move all old subtables, and initialize the new
-    ** subtables.
-    */
-    newsize = oldsize + n + DD_DEFAULT_RESIZE;
-#ifdef DD_VERBOSE
-    (void) fprintf(unique->err,
-               "Increasing the table size from %d to %d\n",
-        unique->maxSize, newsize);
-#endif
-    /* Allocate memory for new arrays (except nodelists). */
-    newsubtables = ALLOC(DdSubtable,newsize);
-    if (newsubtables == NULL) {
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    newvars = ALLOC(DdNodePtr,newsize);
-    if (newvars == NULL) {
-        unique->errorCode = CUDD_MEMORY_OUT;
-        FREE(newsubtables);
-        return(0);
-    }
-    newperm = ALLOC(int,newsize);
-    if (newperm == NULL) {
-        unique->errorCode = CUDD_MEMORY_OUT;
-        FREE(newsubtables);
-        FREE(newvars);
-        return(0);
-    }
-    newinvperm = ALLOC(int,newsize);
-    if (newinvperm == NULL) {
-        unique->errorCode = CUDD_MEMORY_OUT;
-        FREE(newsubtables);
-        FREE(newvars);
-        FREE(newperm);
-        return(0);
-    }
-    if (unique->map != NULL) {
-        newmap = ALLOC(int,newsize);
-        if (newmap == NULL) {
-        unique->errorCode = CUDD_MEMORY_OUT;
-        FREE(newsubtables);
-        FREE(newvars);
-        FREE(newperm);
-        FREE(newinvperm);
-        return(0);
-        }
-        unique->memused += (newsize - unique->maxSize) * sizeof(int);
-    }
-    unique->memused += (newsize - unique->maxSize) * ((numSlots+1) *
-        sizeof(DdNode *) + 2 * sizeof(int) + sizeof(DdSubtable));
-    /* Copy levels before insertion points from old tables. */
-    for (i = 0; i < level; i++) {
-        newsubtables[i].slots = unique->subtables[i].slots;
-        newsubtables[i].shift = unique->subtables[i].shift;
-        newsubtables[i].keys = unique->subtables[i].keys;
-        newsubtables[i].maxKeys = unique->subtables[i].maxKeys;
-        newsubtables[i].dead = unique->subtables[i].dead;
-        newsubtables[i].nodelist = unique->subtables[i].nodelist;
-        newsubtables[i].bindVar = unique->subtables[i].bindVar;
-        newsubtables[i].varType = unique->subtables[i].varType;
-        newsubtables[i].pairIndex = unique->subtables[i].pairIndex;
-        newsubtables[i].varHandled = unique->subtables[i].varHandled;
-        newsubtables[i].varToBeGrouped = unique->subtables[i].varToBeGrouped;
-
-        newvars[i] = unique->vars[i];
-        newperm[i] = unique->perm[i];
-        newinvperm[i] = unique->invperm[i];
-    }
-    /* Finish initializing permutation for new table to old one. */
-    for (i = level; i < oldsize; i++) {
-        newperm[i] = unique->perm[i];
-    }
-    /* Initialize new levels. */
-    for (i = level; i < level + n; i++) {
-        newsubtables[i].slots = numSlots;
-        newsubtables[i].shift = sizeof(int) * 8 -
-        cuddComputeFloorLog2(numSlots);
-        newsubtables[i].keys = 0;
-        newsubtables[i].maxKeys = numSlots * DD_MAX_SUBTABLE_DENSITY;
-        newsubtables[i].dead = 0;
-        newsubtables[i].bindVar = 0;
-        newsubtables[i].varType = CUDD_VAR_PRIMARY_INPUT;
-        newsubtables[i].pairIndex = 0;
-        newsubtables[i].varHandled = 0;
-        newsubtables[i].varToBeGrouped = CUDD_LAZY_NONE;
-
-        newperm[oldsize + i - level] = i;
-        newinvperm[i] = oldsize + i - level;
-        newnodelist = newsubtables[i].nodelist = ALLOC(DdNodePtr, numSlots);
-        if (newnodelist == NULL) {
-        /* We are going to leak some memory.  We should clean up. */
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        for (j = 0; j < numSlots; j++) {
-        newnodelist[j] = sentinel;
-        }
-    }
-    /* Copy the old tables for levels past the insertion point. */
-    for (i = level; i < oldsize; i++) {
-        newsubtables[i+n].slots    = unique->subtables[i].slots;
-        newsubtables[i+n].shift    = unique->subtables[i].shift;
-        newsubtables[i+n].keys     = unique->subtables[i].keys;
-        newsubtables[i+n].maxKeys  = unique->subtables[i].maxKeys;
-        newsubtables[i+n].dead     = unique->subtables[i].dead;
-        newsubtables[i+n].nodelist = unique->subtables[i].nodelist;
-        newsubtables[i+n].bindVar  = unique->subtables[i].bindVar;
-        newsubtables[i+n].varType  = unique->subtables[i].varType;
-        newsubtables[i+n].pairIndex  = unique->subtables[i].pairIndex;
-        newsubtables[i+n].varHandled  = unique->subtables[i].varHandled;
-        newsubtables[i+n].varToBeGrouped  =
-        unique->subtables[i].varToBeGrouped;
-
-        newvars[i]                 = unique->vars[i];
-        index                      = unique->invperm[i];
-        newinvperm[i+n]            = index;
-        newperm[index]            += n;
-    }
-    /* Update the map. */
-    if (unique->map != NULL) {
-        for (i = 0; i < oldsize; i++) {
-        newmap[i] = unique->map[i];
-        }
-        for (i = oldsize; i < oldsize + n; i++) {
-        newmap[i] = i;
-        }
-        FREE(unique->map);
-        unique->map = newmap;
-    }
-    /* Install the new tables and free the old ones. */
-    FREE(unique->subtables);
-    unique->subtables = newsubtables;
-    unique->maxSize = newsize;
-    FREE(unique->vars);
-    unique->vars = newvars;
-    FREE(unique->perm);
-    unique->perm = newperm;
-    FREE(unique->invperm);
-    unique->invperm = newinvperm;
-    /* Update the stack for iterative procedures. */
-    if (newsize > unique->maxSizeZ) {
-        FREE(unique->stack);
-        unique->stack = ALLOC(DdNodePtr,newsize + 1);
-        if (unique->stack == NULL) {
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        unique->stack[0] = NULL; /* to suppress harmless UMR */
-        unique->memused +=
-        (newsize - ddMax(unique->maxSize,unique->maxSizeZ))
-        * sizeof(DdNode *);
-    }
-    }
-    /* Update manager parameters to account for the new subtables. */
-    unique->slots += n * numSlots;
-    ddFixLimits(unique);
-    unique->size += n;
-
-    /* Now that the table is in a coherent state, create the new
-    ** projection functions. We need to temporarily disable reordering,
-    ** because we cannot reorder without projection functions in place.
-    **/
-    one = unique->one;
-    zero = Cudd_Not(one);
-
-    reorderSave = unique->autoDyn;
-    unique->autoDyn = 0;
-    for (i = oldsize; i < oldsize + n; i++) {
-    unique->vars[i] = cuddUniqueInter(unique,i,one,zero);
-    if (unique->vars[i] == NULL) {
-        unique->autoDyn = reorderSave;
-        /* Shift everything back so table remains coherent. */
-        for (j = oldsize; j < i; j++) {
-        Cudd_IterDerefBdd(unique,unique->vars[j]);
-        cuddDeallocNode(unique,unique->vars[j]);
-        unique->vars[j] = NULL;
-        }
-        for (j = level; j < oldsize; j++) {
-        unique->subtables[j].slots    = unique->subtables[j+n].slots;
-        unique->subtables[j].slots    = unique->subtables[j+n].slots;
-        unique->subtables[j].shift    = unique->subtables[j+n].shift;
-        unique->subtables[j].keys     = unique->subtables[j+n].keys;
-        unique->subtables[j].maxKeys  =
-            unique->subtables[j+n].maxKeys;
-        unique->subtables[j].dead     = unique->subtables[j+n].dead;
-        FREE(unique->subtables[j].nodelist);
-        unique->subtables[j].nodelist =
-            unique->subtables[j+n].nodelist;
-        unique->subtables[j+n].nodelist = NULL;
-        unique->subtables[j].bindVar  =
-            unique->subtables[j+n].bindVar;
-        unique->subtables[j].varType  =
-            unique->subtables[j+n].varType;
-        unique->subtables[j].pairIndex =
-            unique->subtables[j+n].pairIndex;
-        unique->subtables[j].varHandled =
-            unique->subtables[j+n].varHandled;
-        unique->subtables[j].varToBeGrouped =
-            unique->subtables[j+n].varToBeGrouped;
-        index                         = unique->invperm[j+n];
-        unique->invperm[j]            = index;
-        unique->perm[index]          -= n;
-        }
-        unique->size = oldsize;
-        unique->slots -= n * numSlots;
-        ddFixLimits(unique);
-        (void) Cudd_DebugCheck(unique);
-        return(0);
-    }
-    cuddRef(unique->vars[i]);
-    }
-    if (unique->tree != NULL) {
-    unique->tree->size += n;
-    unique->tree->index = unique->invperm[0];
-    ddPatchTree(unique,unique->tree);
-    }
-    unique->autoDyn = reorderSave;
-
-    return(1);
-
-} /* end of cuddInsertSubtables */
-
-
-/**Function********************************************************************
-
-  Synopsis [Destroys the n most recently created subtables in a unique table.]
-
-  Description [Destroys the n most recently created subtables in a unique
-  table.  n should be positive. The subtables should not contain any live
-  nodes, except the (isolated) projection function. The projection
-  functions are freed.  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [The variable map used for fast variable substitution is
-  destroyed if it exists. In this case the cache is also cleared.]
-
-  SeeAlso     [cuddInsertSubtables Cudd_SetVarMap]
-
-******************************************************************************/
-int
-cuddDestroySubtables(
-  DdManager * unique,
-  int  n)
-{
-    DdSubtable *subtables;
-    DdNodePtr *nodelist;
-    DdNodePtr *vars;
-    int firstIndex, lastIndex;
-    int index, level, newlevel;
-    int lowestLevel;
-    int shift;
-    int found;
-
-    /* Sanity check and set up. */
-    if (n <= 0) return(0);
-    if (n > unique->size) n = unique->size;
-
-    subtables = unique->subtables;
-    vars = unique->vars;
-    firstIndex = unique->size - n;
-    lastIndex  = unique->size;
-
-    /* Check for nodes labeled by the variables being destroyed
-    ** that may still be in use.  It is allowed to destroy a variable
-    ** only if there are no such nodes. Also, find the lowest level
-    ** among the variables being destroyed. This will make further
-    ** processing more efficient.
-    */
-    lowestLevel = unique->size;
-    for (index = firstIndex; index < lastIndex; index++) {
-    level = unique->perm[index];
-    if (level < lowestLevel) lowestLevel = level;
-    nodelist = subtables[level].nodelist;
-    if (subtables[level].keys - subtables[level].dead != 1) return(0);
-    /* The projection function should be isolated. If the ref count
-    ** is 1, everything is OK. If the ref count is saturated, then
-    ** we need to make sure that there are no nodes pointing to it.
-    ** As for the external references, we assume the application is
-    ** responsible for them.
-    */
-    if (vars[index]->ref != 1) {
-        if (vars[index]->ref != DD_MAXREF) return(0);
-        found = cuddFindParent(unique,vars[index]);
-        if (found) {
-        return(0);
-        } else {
-        vars[index]->ref = 1;
-        }
-    }
-    Cudd_RecursiveDeref(unique,vars[index]);
-    }
-
-    /* Collect garbage, because we cannot afford having dead nodes pointing
-    ** to the dead nodes in the subtables being destroyed.
-    */
-    (void) cuddGarbageCollect(unique,1);
-
-    /* Here we know we can destroy our subtables. */
-    for (index = firstIndex; index < lastIndex; index++) {
-    level = unique->perm[index];
-    nodelist = subtables[level].nodelist;
-#ifdef DD_DEBUG
-    assert(subtables[level].keys == 0);
-#endif
-    FREE(nodelist);
-    unique->memused -= sizeof(DdNodePtr) * subtables[level].slots;
-    unique->slots -= subtables[level].slots;
-    unique->dead -= subtables[level].dead;
-    }
-
-    /* Here all subtables to be destroyed have their keys field == 0 and
-    ** their hash tables have been freed.
-    ** We now scan the subtables from level lowestLevel + 1 to level size - 1,
-    ** shifting the subtables as required. We keep a running count of
-    ** how many subtables have been moved, so that we know by how many
-    ** positions each subtable should be shifted.
-    */
-    shift = 1;
-    for (level = lowestLevel + 1; level < unique->size; level++) {
-    if (subtables[level].keys == 0) {
-        shift++;
-        continue;
-    }
-    newlevel = level - shift;
-    subtables[newlevel].slots = subtables[level].slots;
-    subtables[newlevel].shift = subtables[level].shift;
-    subtables[newlevel].keys = subtables[level].keys;
-    subtables[newlevel].maxKeys = subtables[level].maxKeys;
-    subtables[newlevel].dead = subtables[level].dead;
-    subtables[newlevel].nodelist = subtables[level].nodelist;
-    index = unique->invperm[level];
-    unique->perm[index] = newlevel;
-    unique->invperm[newlevel]  = index;
-    subtables[newlevel].bindVar = subtables[level].bindVar;
-    subtables[newlevel].varType = subtables[level].varType;
-    subtables[newlevel].pairIndex = subtables[level].pairIndex;
-    subtables[newlevel].varHandled = subtables[level].varHandled;
-    subtables[newlevel].varToBeGrouped = subtables[level].varToBeGrouped;
-    }
-    /* Destroy the map. If a surviving variable is
-    ** mapped to a dying variable, and the map were used again,
-    ** an out-of-bounds access to unique->vars would result. */
-    if (unique->map != NULL) {
-    cuddCacheFlush(unique);
-    FREE(unique->map);
-    unique->map = NULL;
-    }
-
-    unique->minDead = (unsigned) (unique->gcFrac * (double) unique->slots);
-    unique->size -= n;
-
-    return(1);
-
-} /* end of cuddDestroySubtables */
-
-
-/**Function********************************************************************
-
-  Synopsis [Increases the number of ZDD subtables in a unique table so
-  that it meets or exceeds index.]
-
-  Description [Increases the number of ZDD subtables in a unique table so
-  that it meets or exceeds index.  When new ZDD variables are created, it
-  is possible to preserve the functions unchanged, or it is possible to
-  preserve the covers unchanged, but not both. cuddResizeTableZdd preserves
-  the covers.  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [ddResizeTable]
-
-******************************************************************************/
-int
-cuddResizeTableZdd(
-  DdManager * unique,
-  int  index)
-{
-    DdSubtable *newsubtables;
-    DdNodePtr *newnodelist;
-    int oldsize,newsize;
-    int i,j,reorderSave;
-    unsigned int numSlots = unique->initSlots;
-    int *newperm, *newinvperm;
-    DdNode *one, *zero;
-
-    oldsize = unique->sizeZ;
-    /* Easy case: there is still room in the current table. */
-    if (index < unique->maxSizeZ) {
-    for (i = oldsize; i <= index; i++) {
-        unique->subtableZ[i].slots = numSlots;
-        unique->subtableZ[i].shift = sizeof(int) * 8 -
-        cuddComputeFloorLog2(numSlots);
-        unique->subtableZ[i].keys = 0;
-        unique->subtableZ[i].maxKeys = numSlots * DD_MAX_SUBTABLE_DENSITY;
-        unique->subtableZ[i].dead = 0;
-        unique->permZ[i] = i;
-        unique->invpermZ[i] = i;
-        newnodelist = unique->subtableZ[i].nodelist =
-        ALLOC(DdNodePtr, numSlots);
-        if (newnodelist == NULL) {
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        for (j = 0; j < numSlots; j++) {
-        newnodelist[j] = NULL;
-        }
-    }
-    } else {
-    /* The current table is too small: we need to allocate a new,
-    ** larger one; move all old subtables, and initialize the new
-    ** subtables up to index included.
-    */
-    newsize = index + DD_DEFAULT_RESIZE;
-#ifdef DD_VERBOSE
-    (void) fprintf(unique->err,
-               "Increasing the ZDD table size from %d to %d\n",
-        unique->maxSizeZ, newsize);
-#endif
-    newsubtables = ALLOC(DdSubtable,newsize);
-    if (newsubtables == NULL) {
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    newperm = ALLOC(int,newsize);
-    if (newperm == NULL) {
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    newinvperm = ALLOC(int,newsize);
-    if (newinvperm == NULL) {
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    unique->memused += (newsize - unique->maxSizeZ) * ((numSlots+1) *
-        sizeof(DdNode *) + 2 * sizeof(int) + sizeof(DdSubtable));
-    if (newsize > unique->maxSize) {
-        FREE(unique->stack);
-        unique->stack = ALLOC(DdNodePtr,newsize + 1);
-        if (unique->stack == NULL) {
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        unique->stack[0] = NULL; /* to suppress harmless UMR */
-        unique->memused +=
-        (newsize - ddMax(unique->maxSize,unique->maxSizeZ))
-        * sizeof(DdNode *);
-    }
-    for (i = 0; i < oldsize; i++) {
-        newsubtables[i].slots = unique->subtableZ[i].slots;
-        newsubtables[i].shift = unique->subtableZ[i].shift;
-        newsubtables[i].keys = unique->subtableZ[i].keys;
-        newsubtables[i].maxKeys = unique->subtableZ[i].maxKeys;
-        newsubtables[i].dead = unique->subtableZ[i].dead;
-        newsubtables[i].nodelist = unique->subtableZ[i].nodelist;
-        newperm[i] = unique->permZ[i];
-        newinvperm[i] = unique->invpermZ[i];
-    }
-    for (i = oldsize; i <= index; i++) {
-        newsubtables[i].slots = numSlots;
-        newsubtables[i].shift = sizeof(int) * 8 -
-        cuddComputeFloorLog2(numSlots);
-        newsubtables[i].keys = 0;
-        newsubtables[i].maxKeys = numSlots * DD_MAX_SUBTABLE_DENSITY;
-        newsubtables[i].dead = 0;
-        newperm[i] = i;
-        newinvperm[i] = i;
-        newnodelist = newsubtables[i].nodelist = ALLOC(DdNodePtr, numSlots);
-        if (newnodelist == NULL) {
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        for (j = 0; j < numSlots; j++) {
-        newnodelist[j] = NULL;
-        }
-    }
-    FREE(unique->subtableZ);
-    unique->subtableZ = newsubtables;
-    unique->maxSizeZ = newsize;
-    FREE(unique->permZ);
-    unique->permZ = newperm;
-    FREE(unique->invpermZ);
-    unique->invpermZ = newinvperm;
-    }
-    unique->slots += (index + 1 - unique->sizeZ) * numSlots;
-    ddFixLimits(unique);
-    unique->sizeZ = index + 1;
-
-    /* Now that the table is in a coherent state, update the ZDD
-    ** universe. We need to temporarily disable reordering,
-    ** because we cannot reorder without universe in place.
-    */
-    one = unique->one;
-    zero = unique->zero;
-
-    reorderSave = unique->autoDynZ;
-    unique->autoDynZ = 0;
-    cuddZddFreeUniv(unique);
-    if (!cuddZddInitUniv(unique)) {
-    unique->autoDynZ = reorderSave;
-    return(0);
-    }
-    unique->autoDynZ = reorderSave;
-
-    return(1);
-
-} /* end of cuddResizeTableZdd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Adjusts parameters of a table to slow down its growth.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-cuddSlowTableGrowth(
-  DdManager *unique)
-{
-    int i;
-
-    unique->maxCacheHard = unique->cacheSlots - 1;
-    unique->cacheSlack = -(unique->cacheSlots + 1);
-    for (i = 0; i < unique->size; i++) {
-    unique->subtables[i].maxKeys <<= 2;
-    }
-    unique->gcFrac = DD_GC_FRAC_MIN;
-    unique->minDead = (unsigned) (DD_GC_FRAC_MIN * (double) unique->slots);
-    cuddShrinkDeathRow(unique);
-    (void) fprintf(unique->err,"Slowing down table growth: ");
-    (void) fprintf(unique->err,"GC fraction = %.2f\t", unique->gcFrac);
-    (void) fprintf(unique->err,"minDead = %d\n", unique->minDead);
-
-} /* end of cuddSlowTableGrowth */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Rehashes a ZDD unique subtable.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [cuddRehash]
-
-******************************************************************************/
-static void
-ddRehashZdd(
-  DdManager * unique,
-  int  i)
-{
-    unsigned int slots, oldslots;
-    int shift, oldshift;
-    int j, pos;
-    DdNodePtr *nodelist, *oldnodelist;
-    DdNode *node, *next;
-    extern void (*MMoutOfMemory)(long);
-    void (*saveHandler)(long);
-
-    if (unique->slots > unique->looseUpTo) {
-    unique->minDead = (unsigned) (DD_GC_FRAC_LO * (double) unique->slots);
-#ifdef DD_VERBOSE
-    if (unique->gcFrac == DD_GC_FRAC_HI) {
-        (void) fprintf(unique->err,"GC fraction = %.2f\t",
-               DD_GC_FRAC_LO);
-        (void) fprintf(unique->err,"minDead = %d\n", unique->minDead);
-    }
-#endif
-    unique->gcFrac = DD_GC_FRAC_LO;
-    }
-
-    assert(i != CUDD_MAXINDEX);
-    oldslots = unique->subtableZ[i].slots;
-    oldshift = unique->subtableZ[i].shift;
-    oldnodelist = unique->subtableZ[i].nodelist;
-
-    /* Compute the new size of the subtable. Normally, we just
-    ** double.  However, after reordering, a table may be severely
-    ** overloaded. Therefore, we iterate. */
-    slots = oldslots;
-    shift = oldshift;
-    do {
-    slots <<= 1;
-    shift--;
-    } while (slots * DD_MAX_SUBTABLE_DENSITY < unique->subtableZ[i].keys);
-
-    saveHandler = MMoutOfMemory;
-    MMoutOfMemory = Cudd_OutOfMem;
-    nodelist = ALLOC(DdNodePtr, slots);
-    MMoutOfMemory = saveHandler;
-    if (nodelist == NULL) {
-    int j;
-    (void) fprintf(unique->err,
-               "Unable to resize ZDD subtable %d for lack of memory.\n",
-               i);
-    (void) cuddGarbageCollectZdd(unique,1);
-    for (j = 0; j < unique->sizeZ; j++) {
-        unique->subtableZ[j].maxKeys <<= 1;
-    }
-    return;
-    }
-    unique->subtableZ[i].nodelist = nodelist;
-    unique->subtableZ[i].slots = slots;
-    unique->subtableZ[i].shift = shift;
-    unique->subtableZ[i].maxKeys = slots * DD_MAX_SUBTABLE_DENSITY;
-    for (j = 0; (unsigned) j < slots; j++) {
-    nodelist[j] = NULL;
-    }
-    for (j = 0; (unsigned) j < oldslots; j++) {
-    node = oldnodelist[j];
-    while (node != NULL) {
-        next = node->next;
-        pos = ddHash(cuddT(node), cuddE(node), shift);
-        node->next = nodelist[pos];
-        nodelist[pos] = node;
-        node = next;
-    }
-    }
-    FREE(oldnodelist);
-
-#ifdef DD_VERBOSE
-    (void) fprintf(unique->err,
-           "rehashing layer %d: keys %d dead %d new size %d\n",
-           i, unique->subtableZ[i].keys,
-           unique->subtableZ[i].dead, slots);
-#endif
-
-    /* Update global data. */
-    unique->memused += (slots - oldslots) * sizeof(DdNode *);
-    unique->slots += (slots - oldslots);
-    ddFixLimits(unique);
-
-} /* end of ddRehashZdd */
-
-
-/**Function********************************************************************
-
-  Synopsis [Increases the number of subtables in a unique table so
-  that it meets or exceeds index.]
-
-  Description [Increases the number of subtables in a unique table so
-  that it meets or exceeds index. Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddResizeTableZdd]
-
-******************************************************************************/
-static int
-ddResizeTable(
-  DdManager * unique,
-  int index)
-{
-    DdSubtable *newsubtables;
-    DdNodePtr *newnodelist;
-    DdNodePtr *newvars;
-    DdNode *sentinel = &(unique->sentinel);
-    int oldsize,newsize;
-    int i,j,reorderSave;
-    int numSlots = unique->initSlots;
-    int *newperm, *newinvperm, *newmap;
-    DdNode *one, *zero;
-
-    oldsize = unique->size;
-    /* Easy case: there is still room in the current table. */
-    if (index < unique->maxSize) {
-    for (i = oldsize; i <= index; i++) {
-        unique->subtables[i].slots = numSlots;
-        unique->subtables[i].shift = sizeof(int) * 8 -
-        cuddComputeFloorLog2(numSlots);
-        unique->subtables[i].keys = 0;
-        unique->subtables[i].maxKeys = numSlots * DD_MAX_SUBTABLE_DENSITY;
-        unique->subtables[i].dead = 0;
-        unique->subtables[i].bindVar = 0;
-        unique->subtables[i].varType = CUDD_VAR_PRIMARY_INPUT;
-        unique->subtables[i].pairIndex = 0;
-        unique->subtables[i].varHandled = 0;
-        unique->subtables[i].varToBeGrouped = CUDD_LAZY_NONE;
-
-        unique->perm[i] = i;
-        unique->invperm[i] = i;
-        newnodelist = unique->subtables[i].nodelist =
-        ALLOC(DdNodePtr, numSlots);
-        if (newnodelist == NULL) {
-        for (j = oldsize; j < i; j++) {
-            FREE(unique->subtables[j].nodelist);
-        }
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        for (j = 0; j < numSlots; j++) {
-        newnodelist[j] = sentinel;
-        }
-    }
-    if (unique->map != NULL) {
-        for (i = oldsize; i <= index; i++) {
-        unique->map[i] = i;
-        }
-    }
-    } else {
-    /* The current table is too small: we need to allocate a new,
-    ** larger one; move all old subtables, and initialize the new
-    ** subtables up to index included.
-    */
-    newsize = index + DD_DEFAULT_RESIZE;
-#ifdef DD_VERBOSE
-    (void) fprintf(unique->err,
-               "Increasing the table size from %d to %d\n",
-               unique->maxSize, newsize);
-#endif
-    newsubtables = ALLOC(DdSubtable,newsize);
-    if (newsubtables == NULL) {
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    newvars = ALLOC(DdNodePtr,newsize);
-    if (newvars == NULL) {
-        FREE(newsubtables);
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    newperm = ALLOC(int,newsize);
-    if (newperm == NULL) {
-        FREE(newsubtables);
-        FREE(newvars);
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    newinvperm = ALLOC(int,newsize);
-    if (newinvperm == NULL) {
-        FREE(newsubtables);
-        FREE(newvars);
-        FREE(newperm);
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-    }
-    if (unique->map != NULL) {
-        newmap = ALLOC(int,newsize);
-        if (newmap == NULL) {
-        FREE(newsubtables);
-        FREE(newvars);
-        FREE(newperm);
-        FREE(newinvperm);
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        unique->memused += (newsize - unique->maxSize) * sizeof(int);
-    }
-    unique->memused += (newsize - unique->maxSize) * ((numSlots+1) *
-        sizeof(DdNode *) + 2 * sizeof(int) + sizeof(DdSubtable));
-    if (newsize > unique->maxSizeZ) {
-        FREE(unique->stack);
-        unique->stack = ALLOC(DdNodePtr,newsize + 1);
-        if (unique->stack == NULL) {
-        FREE(newsubtables);
-        FREE(newvars);
-        FREE(newperm);
-        FREE(newinvperm);
-        if (unique->map != NULL) {
-            FREE(newmap);
-        }
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        unique->stack[0] = NULL; /* to suppress harmless UMR */
-        unique->memused +=
-        (newsize - ddMax(unique->maxSize,unique->maxSizeZ))
-        * sizeof(DdNode *);
-    }
-    for (i = 0; i < oldsize; i++) {
-        newsubtables[i].slots = unique->subtables[i].slots;
-        newsubtables[i].shift = unique->subtables[i].shift;
-        newsubtables[i].keys = unique->subtables[i].keys;
-        newsubtables[i].maxKeys = unique->subtables[i].maxKeys;
-        newsubtables[i].dead = unique->subtables[i].dead;
-        newsubtables[i].nodelist = unique->subtables[i].nodelist;
-        newsubtables[i].bindVar = unique->subtables[i].bindVar;
-        newsubtables[i].varType = unique->subtables[i].varType;
-        newsubtables[i].pairIndex = unique->subtables[i].pairIndex;
-        newsubtables[i].varHandled = unique->subtables[i].varHandled;
-        newsubtables[i].varToBeGrouped = unique->subtables[i].varToBeGrouped;
-
-        newvars[i] = unique->vars[i];
-        newperm[i] = unique->perm[i];
-        newinvperm[i] = unique->invperm[i];
-    }
-    for (i = oldsize; i <= index; i++) {
-        newsubtables[i].slots = numSlots;
-        newsubtables[i].shift = sizeof(int) * 8 -
-        cuddComputeFloorLog2(numSlots);
-        newsubtables[i].keys = 0;
-        newsubtables[i].maxKeys = numSlots * DD_MAX_SUBTABLE_DENSITY;
-        newsubtables[i].dead = 0;
-        newsubtables[i].bindVar = 0;
-        newsubtables[i].varType = CUDD_VAR_PRIMARY_INPUT;
-        newsubtables[i].pairIndex = 0;
-        newsubtables[i].varHandled = 0;
-        newsubtables[i].varToBeGrouped = CUDD_LAZY_NONE;
-
-        newperm[i] = i;
-        newinvperm[i] = i;
-        newnodelist = newsubtables[i].nodelist = ALLOC(DdNodePtr, numSlots);
-        if (newnodelist == NULL) {
-        unique->errorCode = CUDD_MEMORY_OUT;
-        return(0);
-        }
-        for (j = 0; j < numSlots; j++) {
-        newnodelist[j] = sentinel;
-        }
-    }
-    if (unique->map != NULL) {
-        for (i = 0; i < oldsize; i++) {
-        newmap[i] = unique->map[i];
-        }
-        for (i = oldsize; i <= index; i++) {
-        newmap[i] = i;
-        }
-        FREE(unique->map);
-        unique->map = newmap;
-    }
-    FREE(unique->subtables);
-    unique->subtables = newsubtables;
-    unique->maxSize = newsize;
-    FREE(unique->vars);
-    unique->vars = newvars;
-    FREE(unique->perm);
-    unique->perm = newperm;
-    FREE(unique->invperm);
-    unique->invperm = newinvperm;
-    }
-
-    /* Now that the table is in a coherent state, create the new
-    ** projection functions. We need to temporarily disable reordering,
-    ** because we cannot reorder without projection functions in place.
-    **/
-    one = unique->one;
-    zero = Cudd_Not(one);
-
-    unique->size = index + 1;
-    unique->slots += (index + 1 - oldsize) * numSlots;
-    ddFixLimits(unique);
-
-    reorderSave = unique->autoDyn;
-    unique->autoDyn = 0;
-    for (i = oldsize; i <= index; i++) {
-    unique->vars[i] = cuddUniqueInter(unique,i,one,zero);
-    if (unique->vars[i] == NULL) {
-        unique->autoDyn = reorderSave;
-        for (j = oldsize; j < i; j++) {
-        Cudd_IterDerefBdd(unique,unique->vars[j]);
-        cuddDeallocNode(unique,unique->vars[j]);
-        unique->vars[j] = NULL;
-        }
-        for (j = oldsize; j <= index; j++) {
-        FREE(unique->subtables[j].nodelist);
-        unique->subtables[j].nodelist = NULL;
-        }
-        unique->size = oldsize;
-        unique->slots -= (index + 1 - oldsize) * numSlots;
-        ddFixLimits(unique);
-        return(0);
-    }
-    cuddRef(unique->vars[i]);
-    }
-    unique->autoDyn = reorderSave;
-
-    return(1);
-
-} /* end of ddResizeTable */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Searches the subtables above node for a parent.]
-
-  Description [Searches the subtables above node for a parent. Returns 1
-  as soon as one parent is found. Returns 0 is the search is fruitless.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-cuddFindParent(
-  DdManager * table,
-  DdNode * node)
-{
-    int         i,j;
-    int        slots;
-    DdNodePtr    *nodelist;
-    DdNode    *f;
-
-    for (i = cuddI(table,node->index) - 1; i >= 0; i--) {
-    nodelist = table->subtables[i].nodelist;
-    slots = table->subtables[i].slots;
-
-    for (j = 0; j < slots; j++) {
-        f = nodelist[j];
-        while (cuddT(f) > node) {
-        f = f->next;
-        }
-        while (cuddT(f) == node && Cudd_Regular(cuddE(f)) > node) {
-        f = f->next;
-        }
-        if (cuddT(f) == node && Cudd_Regular(cuddE(f)) == node) {
-        return(1);
-        }
-    }
-    }
-
-    return(0);
-
-} /* end of cuddFindParent */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Adjusts the values of table limits.]
-
-  Description [Adjusts the values of table fields controlling the.
-  sizes of subtables and computed table. If the computed table is too small
-  according to the new values, it is resized.]
-
-  SideEffects [Modifies manager fields. May resize computed table.]
-
-  SeeAlso     []
-
-******************************************************************************/
-DD_INLINE
-static void
-ddFixLimits(
-  DdManager *unique)
-{
-    unique->minDead = (unsigned) (unique->gcFrac * (double) unique->slots);
-    unique->cacheSlack = (int) ddMin(unique->maxCacheHard,
-    DD_MAX_CACHE_TO_SLOTS_RATIO * unique->slots) -
-    2 * (int) unique->cacheSlots;
-    if (unique->cacheSlots < unique->slots/2 && unique->cacheSlack >= 0)
-    cuddCacheResize(unique);
-    return;
-
-} /* end of ddFixLimits */
-
-
-#ifndef DD_UNSORTED_FREE_LIST
-/**Function********************************************************************
-
-  Synopsis    [Inserts a DdNode in a red/black search tree.]
-
-  Description [Inserts a DdNode in a red/black search tree. Nodes from
-  the same "page" (defined by DD_PAGE_MASK) are linked in a LIFO list.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddOrderedThread]
-
-******************************************************************************/
-static void
-cuddOrderedInsert(
-  DdNodePtr * root,
-  DdNodePtr node)
-{
-    DdNode *scan;
-    DdNodePtr *scanP;
-    DdNodePtr *stack[DD_STACK_SIZE];
-    int stackN = 0;
-
-    scanP = root;
-    while ((scan = *scanP) != NULL) {
-    stack[stackN++] = scanP;
-    if (DD_INSERT_COMPARE(node, scan) == 0) { /* add to page list */
-        DD_NEXT(node) = DD_NEXT(scan);
-        DD_NEXT(scan) = node;
-        return;
-    }
-    scanP = (node < scan) ? &DD_LEFT(scan) : &DD_RIGHT(scan);
-    }
-    DD_RIGHT(node) = DD_LEFT(node) = DD_NEXT(node) = NULL;
-    DD_COLOR(node) = DD_RED;
-    *scanP = node;
-    stack[stackN] = &node;
-    cuddDoRebalance(stack,stackN);
-
-} /* end of cuddOrderedInsert */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Threads all the nodes of a search tree into a linear list.]
-
-  Description [Threads all the nodes of a search tree into a linear
-  list. For each node of the search tree, the "left" child, if non-null, has
-  a lower address than its parent, and the "right" child, if non-null, has a
-  higher address than its parent.
-  The list is sorted in order of increasing addresses. The search
-  tree is destroyed as a result of this operation. The last element of
-  the linear list is made to point to the address passed in list. Each
-  node if the search tree is a linearly-linked list of nodes from the
-  same memory page (as defined in DD_PAGE_MASK). When a node is added to
-  the linear list, all the elements of the linked list are added.]
-
-  SideEffects [The search tree is destroyed as a result of this operation.]
-
-  SeeAlso     [cuddOrderedInsert]
-
-******************************************************************************/
-static DdNode *
-cuddOrderedThread(
-  DdNode * root,
-  DdNode * list)
-{
-    DdNode *current, *next, *prev, *end;
-
-    current = root;
-    /* The first word in the node is used to implement a stack that holds
-    ** the nodes from the root of the tree to the current node. Here we
-    ** put the root of the tree at the bottom of the stack.
-    */
-    *((DdNodePtr *) current) = NULL;
-
-    while (current != NULL) {
-    if (DD_RIGHT(current) != NULL) {
-        /* If possible, we follow the "right" link. Eventually we'll
-        ** find the node with the largest address in the current tree.
-        ** In this phase we use the first word of a node to implemen
-        ** a stack of the nodes on the path from the root to "current".
-        ** Also, we disconnect the "right" pointers to indicate that
-        ** we have already followed them.
-        */
-        next = DD_RIGHT(current);
-        DD_RIGHT(current) = NULL;
-        *((DdNodePtr *)next) = current;
-        current = next;
-    } else {
-        /* We can't proceed along the "right" links any further.
-        ** Hence "current" is the largest element in the current tree.
-        ** We make this node the new head of "list". (Repeating this
-        ** operation until the tree is empty yields the desired linear
-        ** threading of all nodes.)
-        */
-        prev = *((DdNodePtr *) current); /* save prev node on stack in prev */
-        /* Traverse the linked list of current until the end. */
-        for (end = current; DD_NEXT(end) != NULL; end = DD_NEXT(end));
-        DD_NEXT(end) = list; /* attach "list" at end and make */
-        list = current;   /* "current" the new head of "list" */
-        /* Now, if current has a "left" child, we push it on the stack.
-        ** Otherwise, we just continue with the parent of "current".
-        */
-        if (DD_LEFT(current) != NULL) {
-        next = DD_LEFT(current);
-        *((DdNodePtr *) next) = prev;
-        current = next;
-        } else {
-        current = prev;
-        }
-    }
-    }
-
-    return(list);
-
-} /* end of cuddOrderedThread */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the left rotation for red/black trees.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [cuddRotateRight]
-
-******************************************************************************/
-DD_INLINE
-static void
-cuddRotateLeft(
-  DdNodePtr * nodeP)
-{
-    DdNode *newRoot;
-    DdNode *oldRoot = *nodeP;
-
-    *nodeP = newRoot = DD_RIGHT(oldRoot);
-    DD_RIGHT(oldRoot) = DD_LEFT(newRoot);
-    DD_LEFT(newRoot) = oldRoot;
-
-} /* end of cuddRotateLeft */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the right rotation for red/black trees.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [cuddRotateLeft]
-
-******************************************************************************/
-DD_INLINE
-static void
-cuddRotateRight(
-  DdNodePtr * nodeP)
-{
-    DdNode *newRoot;
-    DdNode *oldRoot = *nodeP;
-
-    *nodeP = newRoot = DD_LEFT(oldRoot);
-    DD_LEFT(oldRoot) = DD_RIGHT(newRoot);
-    DD_RIGHT(newRoot) = oldRoot;
-
-} /* end of cuddRotateRight */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Rebalances a red/black tree.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-cuddDoRebalance(
-  DdNodePtr ** stack,
-  int  stackN)
-{
-    DdNodePtr *xP, *parentP, *grandpaP;
-    DdNode *x, *y, *parent, *grandpa;
-
-    xP = stack[stackN];
-    x = *xP;
-    /* Work our way back up, re-balancing the tree. */
-    while (--stackN >= 0) {
-    parentP = stack[stackN];
-    parent = *parentP;
-    if (DD_IS_BLACK(parent)) break;
-    /* Since the root is black, here a non-null grandparent exists. */
-    grandpaP = stack[stackN-1];
-    grandpa = *grandpaP;
-    if (parent == DD_LEFT(grandpa)) {
-        y = DD_RIGHT(grandpa);
-        if (y != NULL && DD_IS_RED(y)) {
-        DD_COLOR(parent) = DD_BLACK;
-        DD_COLOR(y) = DD_BLACK;
-        DD_COLOR(grandpa) = DD_RED;
-        x = grandpa;
-        stackN--;
-        } else {
-        if (x == DD_RIGHT(parent)) {
-            cuddRotateLeft(parentP);
-            DD_COLOR(x) = DD_BLACK;
-        } else {
-            DD_COLOR(parent) = DD_BLACK;
-        }
-        DD_COLOR(grandpa) = DD_RED;
-        cuddRotateRight(grandpaP);
-        break;
-        }
-    } else {
-        y = DD_LEFT(grandpa);
-        if (y != NULL && DD_IS_RED(y)) {
-        DD_COLOR(parent) = DD_BLACK;
-        DD_COLOR(y) = DD_BLACK;
-        DD_COLOR(grandpa) = DD_RED;
-        x = grandpa;
-        stackN--;
-        } else {
-        if (x == DD_LEFT(parent)) {
-            cuddRotateRight(parentP);
-            DD_COLOR(x) = DD_BLACK;
-        } else {
-            DD_COLOR(parent) = DD_BLACK;
-        }
-        DD_COLOR(grandpa) = DD_RED;
-        cuddRotateLeft(grandpaP);
-        }
-    }
-    }
-    DD_COLOR(*(stack[0])) = DD_BLACK;
-
-} /* end of cuddDoRebalance */
-#endif
-
-
-/**Function********************************************************************
-
-  Synopsis    [Fixes a variable tree after the insertion of new subtables.]
-
-  Description [Fixes a variable tree after the insertion of new subtables.
-  After such an insertion, the low fields of the tree below the insertion
-  point are inconsistent.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-ddPatchTree(
-  DdManager *dd,
-  MtrNode *treenode)
-{
-    MtrNode *auxnode = treenode;
-
-    while (auxnode != NULL) {
-    auxnode->low = dd->perm[auxnode->index];
-    if (auxnode->child != NULL) {
-        ddPatchTree(dd, auxnode->child);
-    }
-    auxnode = auxnode->younger;
-    }
-
-    return;
-
-} /* end of ddPatchTree */
-
-
-#ifdef DD_DEBUG
-/**Function********************************************************************
-
-  Synopsis    [Checks whether a collision list is ordered.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-cuddCheckCollisionOrdering(
-  DdManager *unique,
-  int i,
-  int j)
-{
-    int slots;
-    DdNode *node, *next;
-    DdNodePtr *nodelist;
-    DdNode *sentinel = &(unique->sentinel);
-
-    nodelist = unique->subtables[i].nodelist;
-    slots = unique->subtables[i].slots;
-    node = nodelist[j];
-    if (node == sentinel) return(1);
-    next = node->next;
-    while (next != sentinel) {
-    if (cuddT(node) < cuddT(next) ||
-        (cuddT(node) == cuddT(next) && cuddE(node) < cuddE(next))) {
-        (void) fprintf(unique->err,
-               "Unordered list: index %u, position %d\n", i, j);
-        return(0);
-    }
-    node = next;
-    next = node->next;
-    }
-    return(1);
-
-} /* end of cuddCheckCollisionOrdering */
-#endif
-
-
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reports problem in garbage collection.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [cuddGarbageCollect cuddGarbageCollectZdd]
-
-******************************************************************************/
-static void
-ddReportRefMess(
-  DdManager *unique /* manager */,
-  int i /* table in which the problem occurred */,
-  char *caller /* procedure that detected the problem */)
-{
-    if (i == CUDD_CONST_INDEX) {
-    (void) fprintf(unique->err,
-               "%s: problem in constants\n", caller);
-    } else if (i != -1) {
-    (void) fprintf(unique->err,
-               "%s: problem in table %d\n", caller, i);
-    }
-    (void) fprintf(unique->err, "  dead count != deleted\n");
-    (void) fprintf(unique->err, "  This problem is often due to a missing \
-call to Cudd_Ref\n  or to an extra call to Cudd_RecursiveDeref.\n  \
-See the CUDD Programmer's Guide for additional details.");
-    abort();
-
-} /* end of ddReportRefMess */
diff --git a/src/bdd/cudd/cuddUtil.c b/src/bdd/cudd/cuddUtil.c
deleted file mode 100644
index d5fa18e2..00000000
--- a/src/bdd/cudd/cuddUtil.c
+++ /dev/null
@@ -1,3633 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddUtil.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Utility functions.]
-
-  Description [External procedures included in this module:
-        <ul>
-        <li> Cudd_PrintMinterm()
-        <li> Cudd_PrintDebug()
-        <li> Cudd_DagSize()
-        <li> Cudd_EstimateCofactor()
-        <li> Cudd_EstimateCofactorSimple()
-        <li> Cudd_SharingSize()
-        <li> Cudd_CountMinterm()
-        <li> Cudd_EpdCountMinterm()
-        <li> Cudd_CountPath()
-        <li> Cudd_CountPathsToNonZero()
-        <li> Cudd_Support()
-        <li> Cudd_SupportIndex()
-        <li> Cudd_SupportSize()
-        <li> Cudd_VectorSupport()
-        <li> Cudd_VectorSupportIndex()
-        <li> Cudd_VectorSupportSize()
-        <li> Cudd_ClassifySupport()
-        <li> Cudd_CountLeaves()
-        <li> Cudd_bddPickOneCube()
-        <li> Cudd_bddPickOneMinterm()
-        <li> Cudd_bddPickArbitraryMinterms()
-        <li> Cudd_SubsetWithMaskVars()
-        <li> Cudd_FirstCube()
-        <li> Cudd_NextCube()
-        <li> Cudd_bddComputeCube()
-        <li> Cudd_addComputeCube()
-        <li> Cudd_FirstNode()
-        <li> Cudd_NextNode()
-        <li> Cudd_GenFree()
-        <li> Cudd_IsGenEmpty()
-        <li> Cudd_IndicesToCube()
-        <li> Cudd_PrintVersion()
-        <li> Cudd_AverageDistance()
-        <li> Cudd_Random()
-        <li> Cudd_Srandom()
-        <li> Cudd_Density()
-        </ul>
-    Internal procedures included in this module:
-        <ul>
-        <li> cuddP()
-        <li> cuddStCountfree()
-        <li> cuddCollectNodes()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> dp2()
-        <li> ddPrintMintermAux()
-        <li> ddDagInt()
-        <li> ddCountMintermAux()
-        <li> ddEpdCountMintermAux()
-        <li> ddCountPathAux()
-        <li> ddSupportStep()
-        <li> ddClearFlag()
-        <li> ddLeavesInt()
-        <li> ddPickArbitraryMinterms()
-        <li> ddPickRepresentativeCube()
-        <li> ddEpdFree()
-        </ul>]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/* Random generator constants. */
-#define MODULUS1 2147483563
-#define LEQA1 40014
-#define LEQQ1 53668
-#define LEQR1 12211
-#define MODULUS2 2147483399
-#define LEQA2 40692
-#define LEQQ2 52774
-#define LEQR2 3791
-#define STAB_SIZE 64
-#define STAB_DIV (1 + (MODULUS1 - 1) / STAB_SIZE)
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddUtil.c,v 1.1.1.1 2003/02/24 22:23:53 wjiang Exp $";
-#endif
-
-static    DdNode    *background, *zero;
-
-static    long cuddRand = 0;
-static    long cuddRand2;
-static    long shuffleSelect;
-static     long shuffleTable[STAB_SIZE];
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-#define bang(f)    ((Cudd_IsComplement(f)) ? '!' : ' ')
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int dp2 ARGS((DdManager *dd, DdNode *f, st_table *t));
-static void ddPrintMintermAux ARGS((DdManager *dd, DdNode *node, int *list));
-static int ddDagInt ARGS((DdNode *n));
-static int cuddEstimateCofactor ARGS((DdManager *dd, st_table *table, DdNode * node, int i, int phase, DdNode ** ptr));
-static DdNode * cuddUniqueLookup ARGS((DdManager * unique, int  index, DdNode * T, DdNode * E));
-static int cuddEstimateCofactorSimple ARGS((DdNode * node, int i));
-static double ddCountMintermAux ARGS((DdNode *node, double max, DdHashTable *table));
-static int ddEpdCountMintermAux ARGS((DdNode *node, EpDouble *max, EpDouble *epd, st_table *table));
-static double ddCountPathAux ARGS((DdNode *node, st_table *table));
-static double ddCountPathsToNonZero ARGS((DdNode * N, st_table * table));
-static void ddSupportStep ARGS((DdNode *f, int *support));
-static void ddClearFlag ARGS((DdNode *f));
-static int ddLeavesInt ARGS((DdNode *n));
-static int ddPickArbitraryMinterms ARGS((DdManager *dd, DdNode *node, int nvars, int nminterms, char **string));
-static int ddPickRepresentativeCube ARGS((DdManager *dd, DdNode *node, int nvars, double *weight, char *string));
-static enum st_retval ddEpdFree ARGS((char * key, char * value, char * arg));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints a disjoint sum of products.]
-
-  Description [Prints a disjoint sum of product cover for the function
-  rooted at node. Each product corresponds to a path from node to a
-  leaf node different from the logical zero, and different from the
-  background value. Uses the package default output file.  Returns 1
-  if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_PrintDebug Cudd_bddPrintCover]
-
-******************************************************************************/
-int
-Cudd_PrintMinterm(
-  DdManager * manager,
-  DdNode * node)
-{
-    int        i, *list;
-
-    background = manager->background;
-    zero = Cudd_Not(manager->one);
-    list = ALLOC(int,manager->size);
-    if (list == NULL) {
-    manager->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    for (i = 0; i < manager->size; i++) list[i] = 2;
-    ddPrintMintermAux(manager,node,list);
-    FREE(list);
-    return(1);
-
-} /* end of Cudd_PrintMinterm */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints a sum of prime implicants of a BDD.]
-
-  Description [Prints a sum of product cover for an incompletely
-  specified function given by a lower bound and an upper bound.  Each
-  product is a prime implicant obtained by expanding the product
-  corresponding to a path from node to the constant one.  Uses the
-  package default output file.  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_PrintMinterm]
-
-******************************************************************************/
-int
-Cudd_bddPrintCover(
-  DdManager *dd,
-  DdNode *l,
-  DdNode *u)
-{
-    int *array;
-    int q, result;
-    DdNode *lb;
-#ifdef DD_DEBUG
-    DdNode *cover;
-#endif
-
-    array = ALLOC(int, Cudd_ReadSize(dd));
-    if (array == NULL) return(0);
-    lb = l;
-    cuddRef(lb);
-#ifdef DD_DEBUG
-    cover = Cudd_ReadLogicZero(dd);
-    cuddRef(cover);
-#endif
-    while (lb != Cudd_ReadLogicZero(dd)) {
-    DdNode *implicant, *prime, *tmp;
-    int length;
-    implicant = Cudd_LargestCube(dd,lb,&length);
-    if (implicant == NULL) {
-        Cudd_RecursiveDeref(dd,lb);
-        FREE(array);
-        return(0);
-    }
-    cuddRef(implicant);
-    prime = Cudd_bddMakePrime(dd,implicant,u);
-    if (prime == NULL) {
-        Cudd_RecursiveDeref(dd,lb);
-        Cudd_RecursiveDeref(dd,implicant);
-        FREE(array);
-        return(0);
-    }
-    cuddRef(prime);
-    Cudd_RecursiveDeref(dd,implicant);
-    tmp = Cudd_bddAnd(dd,lb,Cudd_Not(prime));
-    if (tmp == NULL) {
-        Cudd_RecursiveDeref(dd,lb);
-        Cudd_RecursiveDeref(dd,prime);
-        FREE(array);
-        return(0);
-    }
-    cuddRef(tmp);
-    Cudd_RecursiveDeref(dd,lb);
-    lb = tmp;
-    result = Cudd_BddToCubeArray(dd,prime,array);
-    if (result == 0) {
-        Cudd_RecursiveDeref(dd,lb);
-        Cudd_RecursiveDeref(dd,prime);
-        FREE(array);
-        return(0);
-    }
-    for (q = 0; q < dd->size; q++) {
-        switch (array[q]) {
-        case 0:
-        (void) fprintf(dd->out, "0");
-        break;
-        case 1:
-        (void) fprintf(dd->out, "1");
-        break;
-        case 2:
-        (void) fprintf(dd->out, "-");
-        break;
-        default:
-        (void) fprintf(dd->out, "?");
-        }
-    }
-    (void) fprintf(dd->out, " 1\n");
-#ifdef DD_DEBUG
-    tmp = Cudd_bddOr(dd,prime,cover);
-    if (tmp == NULL) {
-        Cudd_RecursiveDeref(dd,cover);
-        Cudd_RecursiveDeref(dd,lb);
-        Cudd_RecursiveDeref(dd,prime);
-        FREE(array);
-        return(0);
-    }
-    cuddRef(tmp);
-    Cudd_RecursiveDeref(dd,cover);
-    cover = tmp;
-#endif
-    Cudd_RecursiveDeref(dd,prime);
-    }
-    (void) fprintf(dd->out, "\n");
-    Cudd_RecursiveDeref(dd,lb);
-    FREE(array);
-#ifdef DD_DEBUG
-    if (!Cudd_bddLeq(dd,cover,u) || !Cudd_bddLeq(dd,l,cover)) {
-        Cudd_RecursiveDeref(dd,cover);
-        return(0);
-    }
-    Cudd_RecursiveDeref(dd,cover);
-#endif
-    return(1);
-
-} /* end of Cudd_bddPrintCover */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints to the standard output a DD and its statistics.]
-
-  Description [Prints to the standard output a DD and its statistics.
-  The statistics include the number of nodes, the number of leaves, and
-  the number of minterms. (The number of minterms is the number of
-  assignments to the variables that cause the function to be different
-  from the logical zero (for BDDs) and from the background value (for
-  ADDs.) The statistics are printed if pr &gt; 0. Specifically:
-  <ul>
-  <li> pr = 0 : prints nothing
-  <li> pr = 1 : prints counts of nodes and minterms
-  <li> pr = 2 : prints counts + disjoint sum of product
-  <li> pr = 3 : prints counts + list of nodes
-  <li> pr &gt; 3 : prints counts + disjoint sum of product + list of nodes
-  </ul>
-  For the purpose of counting the number of minterms, the function is
-  supposed to depend on n variables. Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DagSize Cudd_CountLeaves Cudd_CountMinterm
-  Cudd_PrintMinterm]
-
-******************************************************************************/
-int
-Cudd_PrintDebug(
-  DdManager * dd,
-  DdNode * f,
-  int  n,
-  int  pr)
-{
-    DdNode *azero, *bzero;
-    int       nodes;
-    int       leaves;
-    double minterms;
-    int    retval = 1;
-
-    if (f == NULL) {
-    (void) fprintf(dd->out,": is the NULL DD\n");
-    (void) fflush(dd->out);
-    return(0);
-    }
-    azero = DD_ZERO(dd);
-    bzero = Cudd_Not(DD_ONE(dd));
-    if ((f == azero || f == bzero) && pr > 0){
-       (void) fprintf(dd->out,": is the zero DD\n");
-       (void) fflush(dd->out);
-       return(1);
-    }
-    if (pr > 0) {
-    nodes = Cudd_DagSize(f);
-    if (nodes == CUDD_OUT_OF_MEM) retval = 0;
-    leaves = Cudd_CountLeaves(f);
-    if (leaves == CUDD_OUT_OF_MEM) retval = 0;
-    minterms = Cudd_CountMinterm(dd, f, n);
-    if (minterms == (double)CUDD_OUT_OF_MEM) retval = 0;
-    (void) fprintf(dd->out,": %d nodes %d leaves %g minterms\n",
-               nodes, leaves, minterms);
-        if (pr > 2) {
-        if (!cuddP(dd, f)) retval = 0;
-    }
-    if (pr == 2 || pr > 3) {
-        if (!Cudd_PrintMinterm(dd,f)) retval = 0;
-        (void) fprintf(dd->out,"\n");
-    }
-        (void) fflush(dd->out);
-    }
-    return(retval);
-
-} /* end of Cudd_PrintDebug */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts the number of nodes in a DD.]
-
-  Description [Counts the number of nodes in a DD. Returns the number
-  of nodes in the graph rooted at node.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SharingSize Cudd_PrintDebug]
-
-******************************************************************************/
-int
-Cudd_DagSize(
-  DdNode * node)
-{
-    int    i;    
-
-    i = ddDagInt(Cudd_Regular(node));
-    ddClearFlag(Cudd_Regular(node));
-
-    return(i);
-
-} /* end of Cudd_DagSize */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Estimates the number of nodes in a cofactor of a DD.]
-
-  Description [Estimates the number of nodes in a cofactor of a DD.
-  Returns an estimate of the number of nodes in a cofactor of
-  the graph rooted at node with respect to the variable whose index is i.
-  In case of failure, returns CUDD_OUT_OF_MEM.
-  This function uses a refinement of the algorithm of Cabodi et al.
-  (ICCAD96). The refinement allows the procedure to account for part
-  of the recombination that may occur in the part of the cofactor above
-  the cofactoring variable. This procedure does no create any new node.
-  It does keep a small table of results; therefore itmay run out of memory.
-  If this is a concern, one should use Cudd_EstimateCofactorSimple, which
-  is faster, does not allocate any memory, but is less accurate.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DagSize Cudd_EstimateCofactorSimple]
-
-******************************************************************************/
-int
-Cudd_EstimateCofactor(
-  DdManager *dd /* manager */,
-  DdNode * f    /* function */,
-  int i        /* index of variable */,
-  int phase    /* 1: positive; 0: negative */
-  )
-{
-    int    val;
-    DdNode *ptr;
-    st_table *table;
-
-    table = st_init_table(st_ptrcmp,st_ptrhash);
-    if (table == NULL) return(CUDD_OUT_OF_MEM);
-    val = cuddEstimateCofactor(dd,table,Cudd_Regular(f),i,phase,&ptr);
-    ddClearFlag(Cudd_Regular(f));
-    st_free_table(table);
-
-    return(val);
-
-} /* end of Cudd_EstimateCofactor */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Estimates the number of nodes in a cofactor of a DD.]
-
-  Description [Estimates the number of nodes in a cofactor of a DD.
-  Returns an estimate of the number of nodes in the positive cofactor of
-  the graph rooted at node with respect to the variable whose index is i.
-  This procedure implements with minor changes the algorithm of Cabodi et al.
-  (ICCAD96). It does not allocate any memory, it does not change the
-  state of the manager, and it is fast. However, it has been observed to
-  overestimate the size of the cofactor by as much as a factor of 2.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DagSize]
-
-******************************************************************************/
-int
-Cudd_EstimateCofactorSimple(
-  DdNode * node,
-  int i)
-{
-    int    val;    
-
-    val = cuddEstimateCofactorSimple(Cudd_Regular(node),i);
-    ddClearFlag(Cudd_Regular(node));
-
-    return(val);
-
-} /* end of Cudd_EstimateCofactorSimple */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts the number of nodes in an array of DDs.]
-
-  Description [Counts the number of nodes in an array of DDs. Shared
-  nodes are counted only once.  Returns the total number of nodes.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DagSize]
-
-******************************************************************************/
-int
-Cudd_SharingSize(
-  DdNode ** nodeArray,
-  int  n)
-{
-    int    i,j;    
-
-    i = 0;
-    for (j = 0; j < n; j++) {
-    i += ddDagInt(Cudd_Regular(nodeArray[j]));
-    }
-    for (j = 0; j < n; j++) {
-    ddClearFlag(Cudd_Regular(nodeArray[j]));
-    }
-    return(i);
-
-} /* end of Cudd_SharingSize */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts the number of minterms of a DD.]
-
-  Description [Counts the number of minterms of a DD. The function is
-  assumed to depend on nvars variables. The minterm count is
-  represented as a double, to allow for a larger number of variables.
-  Returns the number of minterms of the function rooted at node if
-  successful; (double) CUDD_OUT_OF_MEM otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_PrintDebug Cudd_CountPath]
-
-******************************************************************************/
-double
-Cudd_CountMinterm(
-  DdManager * manager,
-  DdNode * node,
-  int  nvars)
-{
-    double    max;
-    DdHashTable    *table;
-    double    res;
-    CUDD_VALUE_TYPE epsilon;
-
-    background = manager->background;
-    zero = Cudd_Not(manager->one);
-    
-    max = pow(2.0,(double)nvars);
-    table = cuddHashTableInit(manager,1,2);
-    if (table == NULL) {
-    return((double)CUDD_OUT_OF_MEM);
-    }
-    epsilon = Cudd_ReadEpsilon(manager);
-    Cudd_SetEpsilon(manager,(CUDD_VALUE_TYPE)0.0);
-    res = ddCountMintermAux(node,max,table);
-    cuddHashTableQuit(table);
-    Cudd_SetEpsilon(manager,epsilon);
-
-    return(res);
-
-} /* end of Cudd_CountMinterm */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts the number of paths of a DD.]
-
-  Description [Counts the number of paths of a DD.  Paths to all
-  terminal nodes are counted. The path count is represented as a
-  double, to allow for a larger number of variables.  Returns the
-  number of paths of the function rooted at node if successful;
-  (double) CUDD_OUT_OF_MEM otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_CountMinterm]
-
-******************************************************************************/
-double
-Cudd_CountPath(
-  DdNode * node)
-{
-
-    st_table    *table;
-    double    i;    
-
-    table = st_init_table(st_ptrcmp,st_ptrhash);
-    if (table == NULL) {
-    return((double)CUDD_OUT_OF_MEM);
-    }
-    i = ddCountPathAux(Cudd_Regular(node),table);
-    st_foreach(table, cuddStCountfree, NULL);
-    st_free_table(table);
-    return(i);
-
-} /* end of Cudd_CountPath */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts the number of minterms of a DD with extended precision.]
-
-  Description [Counts the number of minterms of a DD with extended precision.
-  The function is assumed to depend on nvars variables. The minterm count is
-  represented as an EpDouble, to allow any number of variables.
-  Returns 0 if successful; CUDD_OUT_OF_MEM otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_PrintDebug Cudd_CountPath]
-
-******************************************************************************/
-int
-Cudd_EpdCountMinterm(
-  DdManager * manager,
-  DdNode * node,
-  int  nvars,
-  EpDouble * epd)
-{
-    EpDouble    max, tmp;
-    st_table    *table;
-    int        status;
-
-    background = manager->background;
-    zero = Cudd_Not(manager->one);
-    
-    EpdPow2(nvars, &max);
-    table = st_init_table(EpdCmp, st_ptrhash);
-    if (table == NULL) {
-    EpdMakeZero(epd, 0);
-    return(CUDD_OUT_OF_MEM);
-    }
-    status = ddEpdCountMintermAux(Cudd_Regular(node),&max,epd,table);
-    st_foreach(table, ddEpdFree, NULL);
-    st_free_table(table);
-    if (status == CUDD_OUT_OF_MEM) {
-    EpdMakeZero(epd, 0);
-    return(CUDD_OUT_OF_MEM);
-    }
-    if (Cudd_IsComplement(node)) {
-        EpdSubtract3(&max, epd, &tmp);
-        EpdCopy(&tmp, epd);
-    }
-    return(0);
-
-} /* end of Cudd_EpdCountMinterm */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts the number of paths to a non-zero terminal of a DD.]
-
-  Description [Counts the number of paths to a non-zero terminal of a
-  DD.  The path count is
-  represented as a double, to allow for a larger number of variables.
-  Returns the number of paths of the function rooted at node.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_CountMinterm Cudd_CountPath]
-
-******************************************************************************/
-double
-Cudd_CountPathsToNonZero(
-  DdNode * node)
-{
-
-    st_table    *table;
-    double    i;    
-
-    table = st_init_table(st_ptrcmp,st_ptrhash);
-    if (table == NULL) {
-    return((double)CUDD_OUT_OF_MEM);
-    }
-    i = ddCountPathsToNonZero(node,table);
-    st_foreach(table, cuddStCountfree, NULL);
-    st_free_table(table);
-    return(i);
-
-} /* end of Cudd_CountPathsToNonZero */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the variables on which a DD depends.]
-
-  Description [Finds the variables on which a DD depends.
-  Returns a BDD consisting of the product of the variables if
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_VectorSupport Cudd_ClassifySupport]
-
-******************************************************************************/
-DdNode *
-Cudd_Support(
-  DdManager * dd /* manager */,
-  DdNode * f /* DD whose support is sought */)
-{
-    int    *support;
-    DdNode *res, *tmp, *var;
-    int    i,j;
-    int size;
-
-    /* Allocate and initialize support array for ddSupportStep. */
-    size = ddMax(dd->size, dd->sizeZ);
-    support = ALLOC(int,size);
-    if (support == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    for (i = 0; i < size; i++) {
-    support[i] = 0;
-    }
-
-    /* Compute support and clean up markers. */
-    ddSupportStep(Cudd_Regular(f),support);
-    ddClearFlag(Cudd_Regular(f));
-
-    /* Transform support from array to cube. */
-    do {
-    dd->reordered = 0;
-    res = DD_ONE(dd);
-    cuddRef(res);
-    for (j = size - 1; j >= 0; j--) { /* for each level bottom-up */
-        i = (j >= dd->size) ? j : dd->invperm[j];
-        if (support[i] == 1) {
-        var = cuddUniqueInter(dd,i,dd->one,Cudd_Not(dd->one));
-        cuddRef(var);
-        tmp = cuddBddAndRecur(dd,res,var);
-        if (tmp == NULL) {
-            Cudd_RecursiveDeref(dd,res);
-            Cudd_RecursiveDeref(dd,var);
-            res = NULL;
-            break;
-        }
-        cuddRef(tmp);
-        Cudd_RecursiveDeref(dd,res);
-        Cudd_RecursiveDeref(dd,var);
-        res = tmp;
-        }
-    }
-    } while (dd->reordered == 1);
-
-    FREE(support);
-    if (res != NULL) cuddDeref(res);
-    return(res);
-
-} /* end of Cudd_Support */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the variables on which a DD depends.]
-
-  Description [Finds the variables on which a DD depends.
-  Returns an index array of the variables if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_Support Cudd_VectorSupport Cudd_ClassifySupport]
-
-******************************************************************************/
-int *
-Cudd_SupportIndex(
-  DdManager * dd /* manager */,
-  DdNode * f /* DD whose support is sought */)
-{
-    int    *support;
-    int    i;
-    int size;
-
-    /* Allocate and initialize support array for ddSupportStep. */
-    size = ddMax(dd->size, dd->sizeZ);
-    support = ALLOC(int,size);
-    if (support == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    for (i = 0; i < size; i++) {
-    support[i] = 0;
-    }
-
-    /* Compute support and clean up markers. */
-    ddSupportStep(Cudd_Regular(f),support);
-    ddClearFlag(Cudd_Regular(f));
-
-    return(support);
-
-} /* end of Cudd_SupportIndex */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts the variables on which a DD depends.]
-
-  Description [Counts the variables on which a DD depends.
-  Returns the number of the variables if successful; CUDD_OUT_OF_MEM
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_Support]
-
-******************************************************************************/
-int
-Cudd_SupportSize(
-  DdManager * dd /* manager */,
-  DdNode * f /* DD whose support size is sought */)
-{
-    int    *support;
-    int    i;
-    int size;
-    int count;
-
-    /* Allocate and initialize support array for ddSupportStep. */
-    size = ddMax(dd->size, dd->sizeZ);
-    support = ALLOC(int,size);
-    if (support == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(CUDD_OUT_OF_MEM);
-    }
-    for (i = 0; i < size; i++) {
-    support[i] = 0;
-    }
-
-    /* Compute support and clean up markers. */
-    ddSupportStep(Cudd_Regular(f),support);
-    ddClearFlag(Cudd_Regular(f));
-
-    /* Count support variables. */
-    count = 0;
-    for (i = 0; i < size; i++) {
-    if (support[i] == 1) count++;
-    }
-
-    FREE(support);
-    return(count);
-
-} /* end of Cudd_SupportSize */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the variables on which a set of DDs depends.]
-
-  Description [Finds the variables on which a set of DDs depends.
-  The set must contain either BDDs and ADDs, or ZDDs.
-  Returns a BDD consisting of the product of the variables if
-  successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_Support Cudd_ClassifySupport]
-
-******************************************************************************/
-DdNode *
-Cudd_VectorSupport(
-  DdManager * dd /* manager */,
-  DdNode ** F /* array of DDs whose support is sought */,
-  int  n /* size of the array */)
-{
-    int    *support;
-    DdNode *res, *tmp, *var;
-    int    i,j;
-    int size;
-
-    /* Allocate and initialize support array for ddSupportStep. */
-    size = ddMax(dd->size, dd->sizeZ);
-    support = ALLOC(int,size);
-    if (support == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    for (i = 0; i < size; i++) {
-    support[i] = 0;
-    }
-
-    /* Compute support and clean up markers. */
-    for (i = 0; i < n; i++) {
-    ddSupportStep(Cudd_Regular(F[i]),support);
-    }
-    for (i = 0; i < n; i++) {
-    ddClearFlag(Cudd_Regular(F[i]));
-    }
-
-    /* Transform support from array to cube. */
-    res = DD_ONE(dd);
-    cuddRef(res);
-    for (j = size - 1; j >= 0; j--) { /* for each level bottom-up */
-    i = (j >= dd->size) ? j : dd->invperm[j];
-    if (support[i] == 1) {
-        var = cuddUniqueInter(dd,i,dd->one,Cudd_Not(dd->one));
-        cuddRef(var);
-        tmp = Cudd_bddAnd(dd,res,var);
-        if (tmp == NULL) {
-        Cudd_RecursiveDeref(dd,res);
-        Cudd_RecursiveDeref(dd,var);
-        FREE(support);
-        return(NULL);
-        }
-        cuddRef(tmp);
-        Cudd_RecursiveDeref(dd,res);
-        Cudd_RecursiveDeref(dd,var);
-        res = tmp;
-    }
-    }
-
-    FREE(support);
-    cuddDeref(res);
-    return(res);
-
-} /* end of Cudd_VectorSupport */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the variables on which a set of DDs depends.]
-
-  Description [Finds the variables on which a set of DDs depends.
-  The set must contain either BDDs and ADDs, or ZDDs.
-  Returns an index array of the variables if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_SupportIndex Cudd_VectorSupport Cudd_ClassifySupport]
-
-******************************************************************************/
-int *
-Cudd_VectorSupportIndex(
-  DdManager * dd /* manager */,
-  DdNode ** F /* array of DDs whose support is sought */,
-  int  n /* size of the array */)
-{
-    int    *support;
-    int    i;
-    int size;
-
-    /* Allocate and initialize support array for ddSupportStep. */
-    size = ddMax(dd->size, dd->sizeZ);
-    support = ALLOC(int,size);
-    if (support == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    for (i = 0; i < size; i++) {
-    support[i] = 0;
-    }
-
-    /* Compute support and clean up markers. */
-    for (i = 0; i < n; i++) {
-    ddSupportStep(Cudd_Regular(F[i]),support);
-    }
-    for (i = 0; i < n; i++) {
-    ddClearFlag(Cudd_Regular(F[i]));
-    }
-
-    return(support);
-
-} /* end of Cudd_VectorSupportIndex */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts the variables on which a set of DDs depends.]
-
-  Description [Counts the variables on which a set of DDs depends.
-  The set must contain either BDDs and ADDs, or ZDDs.
-  Returns the number of the variables if successful; CUDD_OUT_OF_MEM
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_VectorSupport Cudd_SupportSize]
-
-******************************************************************************/
-int
-Cudd_VectorSupportSize(
-  DdManager * dd /* manager */,
-  DdNode ** F /* array of DDs whose support is sought */,
-  int  n /* size of the array */)
-{
-    int    *support;
-    int    i;
-    int size;
-    int count;
-
-    /* Allocate and initialize support array for ddSupportStep. */
-    size = ddMax(dd->size, dd->sizeZ);
-    support = ALLOC(int,size);
-    if (support == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(CUDD_OUT_OF_MEM);
-    }
-    for (i = 0; i < size; i++) {
-    support[i] = 0;
-    }
-
-    /* Compute support and clean up markers. */
-    for (i = 0; i < n; i++) {
-    ddSupportStep(Cudd_Regular(F[i]),support);
-    }
-    for (i = 0; i < n; i++) {
-    ddClearFlag(Cudd_Regular(F[i]));
-    }
-
-    /* Count vriables in support. */
-    count = 0;
-    for (i = 0; i < size; i++) {
-    if (support[i] == 1) count++;
-    }
-
-    FREE(support);
-    return(count);
-
-} /* end of Cudd_VectorSupportSize */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Classifies the variables in the support of two DDs.]
-
-  Description [Classifies the variables in the support of two DDs
-  <code>f</code> and <code>g</code>, depending on whther they appear
-  in both DDs, only in <code>f</code>, or only in <code>g</code>.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [The cubes of the three classes of variables are
-  returned as side effects.]
-
-  SeeAlso     [Cudd_Support Cudd_VectorSupport]
-
-******************************************************************************/
-int
-Cudd_ClassifySupport(
-  DdManager * dd /* manager */,
-  DdNode * f /* first DD */,
-  DdNode * g /* second DD */,
-  DdNode ** common /* cube of shared variables */,
-  DdNode ** onlyF /* cube of variables only in f */,
-  DdNode ** onlyG /* cube of variables only in g */)
-{
-    int    *supportF, *supportG;
-    DdNode *tmp, *var;
-    int    i,j;
-    int size;
-
-    /* Allocate and initialize support arrays for ddSupportStep. */
-    size = ddMax(dd->size, dd->sizeZ);
-    supportF = ALLOC(int,size);
-    if (supportF == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    supportG = ALLOC(int,size);
-    if (supportG == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    FREE(supportF);
-    return(0);
-    }
-    for (i = 0; i < size; i++) {
-    supportF[i] = 0;
-    supportG[i] = 0;
-    }
-
-    /* Compute supports and clean up markers. */
-    ddSupportStep(Cudd_Regular(f),supportF);
-    ddClearFlag(Cudd_Regular(f));
-    ddSupportStep(Cudd_Regular(g),supportG);
-    ddClearFlag(Cudd_Regular(g));
-
-    /* Classify variables and create cubes. */
-    *common = *onlyF = *onlyG = DD_ONE(dd);
-    cuddRef(*common); cuddRef(*onlyF); cuddRef(*onlyG);
-    for (j = size - 1; j >= 0; j--) { /* for each level bottom-up */
-    i = (j >= dd->size) ? j : dd->invperm[j];
-    if (supportF[i] == 0 && supportG[i] == 0) continue;
-    var = cuddUniqueInter(dd,i,dd->one,Cudd_Not(dd->one));
-    cuddRef(var);
-    if (supportG[i] == 0) {
-        tmp = Cudd_bddAnd(dd,*onlyF,var);
-        if (tmp == NULL) {
-        Cudd_RecursiveDeref(dd,*common);
-        Cudd_RecursiveDeref(dd,*onlyF);
-        Cudd_RecursiveDeref(dd,*onlyG);
-        Cudd_RecursiveDeref(dd,var);
-        FREE(supportF); FREE(supportG);
-        return(0);
-        }
-        cuddRef(tmp);
-        Cudd_RecursiveDeref(dd,*onlyF);
-        *onlyF = tmp;
-    } else if (supportF[i] == 0) {
-        tmp = Cudd_bddAnd(dd,*onlyG,var);
-        if (tmp == NULL) {
-        Cudd_RecursiveDeref(dd,*common);
-        Cudd_RecursiveDeref(dd,*onlyF);
-        Cudd_RecursiveDeref(dd,*onlyG);
-        Cudd_RecursiveDeref(dd,var);
-        FREE(supportF); FREE(supportG);
-        return(0);
-        }
-        cuddRef(tmp);
-        Cudd_RecursiveDeref(dd,*onlyG);
-        *onlyG = tmp;
-    } else {
-        tmp = Cudd_bddAnd(dd,*common,var);
-        if (tmp == NULL) {
-        Cudd_RecursiveDeref(dd,*common);
-        Cudd_RecursiveDeref(dd,*onlyF);
-        Cudd_RecursiveDeref(dd,*onlyG);
-        Cudd_RecursiveDeref(dd,var);
-        FREE(supportF); FREE(supportG);
-        return(0);
-        }
-        cuddRef(tmp);
-        Cudd_RecursiveDeref(dd,*common);
-        *common = tmp;
-    }
-    Cudd_RecursiveDeref(dd,var);
-    }
-
-    FREE(supportF); FREE(supportG);
-    cuddDeref(*common); cuddDeref(*onlyF); cuddDeref(*onlyG);
-    return(1);
-
-} /* end of Cudd_ClassifySupport */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts the number of leaves in a DD.]
-
-  Description [Counts the number of leaves in a DD. Returns the number
-  of leaves in the DD rooted at node if successful; CUDD_OUT_OF_MEM
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_PrintDebug]
-
-******************************************************************************/
-int
-Cudd_CountLeaves(
-  DdNode * node)
-{
-    int    i;    
-
-    i = ddLeavesInt(Cudd_Regular(node));
-    ddClearFlag(Cudd_Regular(node));
-    return(i);
-
-} /* end of Cudd_CountLeaves */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Picks one on-set cube randomly from the given DD.]
-
-  Description [Picks one on-set cube randomly from the given DD. The
-  cube is written into an array of characters.  The array must have at
-  least as many entries as there are variables. Returns 1 if
-  successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddPickOneMinterm]
-
-******************************************************************************/
-int
-Cudd_bddPickOneCube(
-  DdManager * ddm,
-  DdNode * node,
-  char * string)
-{
-    DdNode *N, *T, *E;
-    DdNode *one, *bzero;
-    char   dir;
-    int    i;
-
-    if (string == NULL || node == NULL) return(0);
-
-    /* The constant 0 function has no on-set cubes. */
-    one = DD_ONE(ddm);
-    bzero = Cudd_Not(one);
-    if (node == bzero) return(0);
-
-    for (i = 0; i < ddm->size; i++) string[i] = 2;
-
-    for (;;) {
-
-    if (node == one) break;
-
-    N = Cudd_Regular(node);
-
-    T = cuddT(N); E = cuddE(N);
-    if (Cudd_IsComplement(node)) {
-        T = Cudd_Not(T); E = Cudd_Not(E);
-    }
-    if (T == bzero) {
-        string[N->index] = 0;
-        node = E;
-    } else if (E == bzero) {
-        string[N->index] = 1;
-        node = T;
-    } else {
-        dir = (char) ((Cudd_Random() & 0x2000) >> 13);
-        string[N->index] = dir;
-        node = dir ? T : E;
-    }
-    }
-    return(1);
-
-} /* end of Cudd_bddPickOneCube */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Picks one on-set minterm randomly from the given DD.]
-
-  Description [Picks one on-set minterm randomly from the given
-  DD. The minterm is in terms of <code>vars</code>. The array
-  <code>vars</code> should contain at least all variables in the
-  support of <code>f</code>; if this condition is not met the minterm
-  built by this procedure may not be contained in
-  <code>f</code>. Builds a BDD for the minterm and returns a pointer
-  to it if successful; NULL otherwise. There are three reasons why the
-  procedure may fail:
-  <ul>
-  <li> It may run out of memory;
-  <li> the function <code>f</code> may be the constant 0;
-  <li> the minterm may not be contained in <code>f</code>.
-  </ul>]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddPickOneCube]
-
-******************************************************************************/
-DdNode *
-Cudd_bddPickOneMinterm(
-  DdManager * dd /* manager */,
-  DdNode * f /* function from which to pick one minterm */,
-  DdNode ** vars /* array of variables */,
-  int  n /* size of <code>vars</code> */)
-{
-    char *string;
-    int i, size;
-    int *indices;
-    int result;
-    DdNode *old, *neW;
-
-    size = dd->size;
-    string = ALLOC(char, size);
-    if (string == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    indices = ALLOC(int,n);
-    if (indices == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    FREE(string);
-    return(NULL);
-    }
-
-    for (i = 0; i < n; i++) {
-        indices[i] = vars[i]->index;
-    }
-
-    result = Cudd_bddPickOneCube(dd,f,string);
-    if (result == 0) {
-    FREE(string);
-    FREE(indices);
-    return(NULL);
-    }
-
-    /* Randomize choice for don't cares. */
-    for (i = 0; i < n; i++) {
-    if (string[indices[i]] == 2) 
-        string[indices[i]] = (char) ((Cudd_Random() & 0x20) >> 5);
-    }
-
-    /* Build result BDD. */
-    old = Cudd_ReadOne(dd);
-    cuddRef(old);
-
-    for (i = n-1; i >= 0; i--) {
-    neW = Cudd_bddAnd(dd,old,Cudd_NotCond(vars[i],string[indices[i]]==0));
-    if (neW == NULL) {
-        FREE(string);
-        FREE(indices);
-        Cudd_RecursiveDeref(dd,old);
-        return(NULL);
-    }
-    cuddRef(neW);
-    Cudd_RecursiveDeref(dd,old);
-    old = neW;
-    }
-
-#ifdef DD_DEBUG
-    /* Test. */
-    if (Cudd_bddLeq(dd,old,f)) {
-    cuddDeref(old);
-    } else {
-    Cudd_RecursiveDeref(dd,old);
-    old = NULL;
-    }
-#else
-    cuddDeref(old);
-#endif
-
-    FREE(string);
-    FREE(indices);
-    return(old);
-
-}  /* end of Cudd_bddPickOneMinterm */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Picks k on-set minterms evenly distributed from given DD.]
-
-  Description [Picks k on-set minterms evenly distributed from given DD.
-  The minterms are in terms of <code>vars</code>. The array
-  <code>vars</code> should contain at least all variables in the
-  support of <code>f</code>; if this condition is not met the minterms
-  built by this procedure may not be contained in
-  <code>f</code>. Builds an array of BDDs for the minterms and returns a
-  pointer to it if successful; NULL otherwise. There are three reasons
-  why the procedure may fail:
-  <ul>
-  <li> It may run out of memory;
-  <li> the function <code>f</code> may be the constant 0;
-  <li> the minterms may not be contained in <code>f</code>.
-  </ul>]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddPickOneMinterm Cudd_bddPickOneCube]
-
-******************************************************************************/
-DdNode **
-Cudd_bddPickArbitraryMinterms(
-  DdManager * dd /* manager */,
-  DdNode * f /* function from which to pick k minterms */,
-  DdNode ** vars /* array of variables */,
-  int  n /* size of <code>vars</code> */,
-  int  k /* number of minterms to find */)
-{
-    char **string;
-    int i, j, l, size;
-    int *indices;
-    int result;
-    DdNode **old, *neW;
-    double minterms;
-    char *saveString;
-    int saveFlag, savePoint, isSame;
-
-    minterms = Cudd_CountMinterm(dd,f,n);
-    if ((double)k > minterms) {
-    return(NULL);
-    }
-
-    size = dd->size;
-    string = ALLOC(char *, k);
-    if (string == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    for (i = 0; i < k; i++) {
-    string[i] = ALLOC(char, size + 1);
-    if (string[i] == NULL) {
-        for (j = 0; j < i; j++)
-        FREE(string[i]);
-        FREE(string);
-        dd->errorCode = CUDD_MEMORY_OUT;
-        return(NULL);
-    }
-    for (j = 0; j < size; j++) string[i][j] = '2';
-    string[i][size] = '\0';
-    }
-    indices = ALLOC(int,n);
-    if (indices == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    for (i = 0; i < k; i++)
-        FREE(string[i]);
-    FREE(string);
-    return(NULL);
-    }
-
-    for (i = 0; i < n; i++) {
-        indices[i] = vars[i]->index;
-    }
-
-    result = ddPickArbitraryMinterms(dd,f,n,k,string);
-    if (result == 0) {
-    for (i = 0; i < k; i++)
-        FREE(string[i]);
-    FREE(string);
-    FREE(indices);
-    return(NULL);
-    }
-
-    old = ALLOC(DdNode *, k);
-    if (old == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    for (i = 0; i < k; i++)
-        FREE(string[i]);
-    FREE(string);
-    FREE(indices);
-    return(NULL);
-    }
-    saveString = ALLOC(char, size + 1);
-    if (saveString == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    for (i = 0; i < k; i++)
-        FREE(string[i]);
-    FREE(string);
-    FREE(indices);
-    FREE(old);
-    return(NULL);
-    }
-    saveFlag = 0;
-
-    /* Build result BDD array. */
-    for (i = 0; i < k; i++) {
-    isSame = 0;
-    if (!saveFlag) {
-        for (j = i + 1; j < k; j++) {
-        if (strcmp(string[i], string[j]) == 0) {
-            savePoint = i;
-            strcpy(saveString, string[i]);
-            saveFlag = 1;
-            break;
-        }
-        }
-    } else {
-        if (strcmp(string[i], saveString) == 0) {
-        isSame = 1;
-        } else {
-        saveFlag = 0;
-        for (j = i + 1; j < k; j++) {
-            if (strcmp(string[i], string[j]) == 0) {
-            savePoint = i;
-            strcpy(saveString, string[i]);
-            saveFlag = 1;
-            break;
-            }
-        }
-        }
-    }
-    /* Randomize choice for don't cares. */
-    for (j = 0; j < n; j++) {
-        if (string[i][indices[j]] == '2')
-        string[i][indices[j]] = (Cudd_Random() & 0x20) ? '1' : '0';
-    }
-
-    while (isSame) {
-        isSame = 0;
-        for (j = savePoint; j < i; j++) {
-        if (strcmp(string[i], string[j]) == 0) {
-            isSame = 1;
-            break;
-        }
-        }
-        if (isSame) {
-        strcpy(string[i], saveString);
-        /* Randomize choice for don't cares. */
-        for (j = 0; j < n; j++) {
-            if (string[i][indices[j]] == '2') 
-            string[i][indices[j]] = (Cudd_Random() & 0x20) ?
-                '1' : '0';
-        }
-        }
-    }
-
-    old[i] = Cudd_ReadOne(dd);
-    cuddRef(old[i]);
-
-    for (j = 0; j < n; j++) {
-        if (string[i][indices[j]] == '0') {
-        neW = Cudd_bddAnd(dd,old[i],Cudd_Not(vars[j]));
-        } else {
-        neW = Cudd_bddAnd(dd,old[i],vars[j]);
-        }
-        if (neW == NULL) {
-        FREE(saveString);
-        for (l = 0; l < k; l++)
-            FREE(string[l]);
-        FREE(string);
-        FREE(indices);
-        for (l = 0; l <= i; l++)
-            Cudd_RecursiveDeref(dd,old[l]);
-        FREE(old);
-        return(NULL);
-        }
-        cuddRef(neW);
-        Cudd_RecursiveDeref(dd,old[i]);
-        old[i] = neW;
-    }
-
-    /* Test. */
-    if (!Cudd_bddLeq(dd,old[i],f)) {
-        FREE(saveString);
-        for (l = 0; l < k; l++)
-        FREE(string[l]);
-        FREE(string);
-        FREE(indices);
-        for (l = 0; l <= i; l++)
-        Cudd_RecursiveDeref(dd,old[l]);
-        FREE(old);
-        return(NULL);
-    }
-    }
-
-    FREE(saveString);
-    for (i = 0; i < k; i++) {
-    cuddDeref(old[i]);
-    FREE(string[i]);
-    }
-    FREE(string);
-    FREE(indices);
-    return(old);
-
-}  /* end of Cudd_bddPickArbitraryMinterms */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Extracts a subset from a BDD.]
-
-  Description [Extracts a subset from a BDD in the following procedure.
-  1. Compute the weight for each mask variable by counting the number of
-     minterms for both positive and negative cofactors of the BDD with
-     respect to each mask variable. (weight = #positive - #negative)
-  2. Find a representative cube of the BDD by using the weight. From the
-     top variable of the BDD, for each variable, if the weight is greater
-     than 0.0, choose THEN branch, othereise ELSE branch, until meeting
-     the constant 1.
-  3. Quantify out the variables not in maskVars from the representative
-     cube and if a variable in maskVars is don't care, replace the
-     variable with a constant(1 or 0) depending on the weight.
-  4. Make a subset of the BDD by multiplying with the modified cube.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-Cudd_SubsetWithMaskVars(
-  DdManager * dd /* manager */,
-  DdNode * f /* function from which to pick a cube */,
-  DdNode ** vars /* array of variables */,
-  int  nvars /* size of <code>vars</code> */,
-  DdNode ** maskVars /* array of variables */,
-  int  mvars /* size of <code>maskVars</code> */)
-{
-    double    *weight;
-    char    *string;
-    int        i, size;
-    int        *indices, *mask;
-    int        result;
-    DdNode    *zero, *cube, *newCube, *subset;
-    DdNode    *cof;
-
-    DdNode    *support;
-    support = Cudd_Support(dd,f);
-    cuddRef(support);
-    Cudd_RecursiveDeref(dd,support);
-
-    zero = Cudd_Not(dd->one);
-    size = dd->size;
-    
-    weight = ALLOC(double,size);
-    if (weight == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    for (i = 0; i < size; i++) {
-        weight[i] = 0.0;
-    }
-    for (i = 0; i < mvars; i++) {
-    cof = Cudd_Cofactor(dd, f, maskVars[i]);
-    cuddRef(cof);
-    weight[i] = Cudd_CountMinterm(dd, cof, nvars);
-    Cudd_RecursiveDeref(dd,cof);
-
-    cof = Cudd_Cofactor(dd, f, Cudd_Not(maskVars[i]));
-    cuddRef(cof);
-    weight[i] -= Cudd_CountMinterm(dd, cof, nvars);
-    Cudd_RecursiveDeref(dd,cof);
-    }
-
-    string = ALLOC(char, size + 1);
-    if (string == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-    mask = ALLOC(int, size);
-    if (mask == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    FREE(string);
-    return(NULL);
-    }
-    for (i = 0; i < size; i++) {
-    string[i] = '2';
-    mask[i] = 0;
-    }
-    string[size] = '\0';
-    indices = ALLOC(int,nvars);
-    if (indices == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    FREE(string);
-    FREE(mask);
-    return(NULL);
-    }
-    for (i = 0; i < nvars; i++) {
-        indices[i] = vars[i]->index;
-    }
-
-    result = ddPickRepresentativeCube(dd,f,nvars,weight,string);
-    if (result == 0) {
-    FREE(string);
-    FREE(mask);
-    FREE(indices);
-    return(NULL);
-    }
-
-    cube = Cudd_ReadOne(dd);
-    cuddRef(cube);
-    zero = Cudd_Not(Cudd_ReadOne(dd));
-    for (i = 0; i < nvars; i++) {
-    if (string[indices[i]] == '0') {
-        newCube = Cudd_bddIte(dd,cube,Cudd_Not(vars[i]),zero);
-    } else if (string[indices[i]] == '1') {
-        newCube = Cudd_bddIte(dd,cube,vars[i],zero);
-    } else
-        continue;
-    if (newCube == NULL) {
-        FREE(string);
-        FREE(mask);
-        FREE(indices);
-        Cudd_RecursiveDeref(dd,cube);
-        return(NULL);
-    }
-    cuddRef(newCube);
-    Cudd_RecursiveDeref(dd,cube);
-    cube = newCube;
-    }
-    Cudd_RecursiveDeref(dd,cube);
-
-    for (i = 0; i < mvars; i++) {
-    mask[maskVars[i]->index] = 1;
-    }
-    for (i = 0; i < nvars; i++) {
-    if (mask[indices[i]]) {
-        if (string[indices[i]] == '2') {
-        if (weight[indices[i]] >= 0.0)
-            string[indices[i]] = '1';
-        else
-            string[indices[i]] = '0';
-        }
-    } else {
-        string[indices[i]] = '2';
-    }
-    }
-
-    cube = Cudd_ReadOne(dd);
-    cuddRef(cube);
-    zero = Cudd_Not(Cudd_ReadOne(dd));
-
-    /* Build result BDD. */
-    for (i = 0; i < nvars; i++) {
-    if (string[indices[i]] == '0') {
-        newCube = Cudd_bddIte(dd,cube,Cudd_Not(vars[i]),zero);
-    } else if (string[indices[i]] == '1') {
-        newCube = Cudd_bddIte(dd,cube,vars[i],zero);
-    } else
-        continue;
-    if (newCube == NULL) {
-        FREE(string);
-        FREE(mask);
-        FREE(indices);
-        Cudd_RecursiveDeref(dd,cube);
-        return(NULL);
-    }
-    cuddRef(newCube);
-    Cudd_RecursiveDeref(dd,cube);
-    cube = newCube;
-    }
-
-    subset = Cudd_bddAnd(dd,f,cube);
-    cuddRef(subset);
-    Cudd_RecursiveDeref(dd,cube);
-
-    /* Test. */
-    if (Cudd_bddLeq(dd,subset,f)) {
-    cuddDeref(subset);
-    } else {
-    Cudd_RecursiveDeref(dd,subset);
-    subset = NULL;
-    }
-
-    FREE(string);
-    FREE(mask);
-    FREE(indices);
-    FREE(weight);
-    return(subset);
-
-} /* end of Cudd_SubsetWithMaskVars */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the first cube of a decision diagram.]
-
-  Description [Defines an iterator on the onset of a decision diagram
-  and finds its first cube. Returns a generator that contains the
-  information necessary to continue the enumeration if successful; NULL
-  otherwise.<p>
-  A cube is represented as an array of literals, which are integers in
-  {0, 1, 2}; 0 represents a complemented literal, 1 represents an
-  uncomplemented literal, and 2 stands for don't care. The enumeration
-  produces a disjoint cover of the function associated with the diagram.
-  The size of the array equals the number of variables in the manager at
-  the time Cudd_FirstCube is called.<p>
-  For each cube, a value is also returned. This value is always 1 for a
-  BDD, while it may be different from 1 for an ADD.
-  For BDDs, the offset is the set of cubes whose value is the logical zero.
-  For ADDs, the offset is the set of cubes whose value is the
-  background value. The cubes of the offset are not enumerated.]
-
-  SideEffects [The first cube and its value are returned as side effects.]
-
-  SeeAlso     [Cudd_ForeachCube Cudd_NextCube Cudd_GenFree Cudd_IsGenEmpty
-  Cudd_FirstNode]
-
-******************************************************************************/
-DdGen *
-Cudd_FirstCube(
-  DdManager * dd,
-  DdNode * f,
-  int ** cube,
-  CUDD_VALUE_TYPE * value)
-{
-    DdGen *gen;
-    DdNode *top, *treg, *next, *nreg, *prev, *preg;
-    int i;
-    int nvars;
-
-    /* Sanity Check. */
-    if (dd == NULL || f == NULL) return(NULL);
-
-    /* Allocate generator an initialize it. */
-    gen = ALLOC(DdGen,1);
-    if (gen == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-
-    gen->manager = dd;
-    gen->type = CUDD_GEN_CUBES;
-    gen->status = CUDD_GEN_EMPTY;
-    gen->gen.cubes.cube = NULL;
-    gen->gen.cubes.value = DD_ZERO_VAL;
-    gen->stack.sp = 0;
-    gen->stack.stack = NULL;
-    gen->node = NULL;
-
-    nvars = dd->size;
-    gen->gen.cubes.cube = ALLOC(int,nvars);
-    if (gen->gen.cubes.cube == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    FREE(gen);
-    return(NULL);
-    }
-    for (i = 0; i < nvars; i++) gen->gen.cubes.cube[i] = 2;
-
-    /* The maximum stack depth is one plus the number of variables.
-    ** because a path may have nodes at all levels, including the
-    ** constant level.
-    */
-    gen->stack.stack = ALLOC(DdNode *, nvars+1);
-    if (gen->stack.stack == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    FREE(gen->gen.cubes.cube);
-    FREE(gen);
-    return(NULL);
-    }
-    for (i = 0; i <= nvars; i++) gen->stack.stack[i] = NULL;
-
-    /* Find the first cube of the onset. */
-    gen->stack.stack[gen->stack.sp] = f; gen->stack.sp++;
-
-    while (1) {
-    top = gen->stack.stack[gen->stack.sp-1];
-    treg = Cudd_Regular(top);
-    if (!cuddIsConstant(treg)) {
-        /* Take the else branch first. */
-        gen->gen.cubes.cube[treg->index] = 0;
-        next = cuddE(treg);
-        if (top != treg) next = Cudd_Not(next);
-        gen->stack.stack[gen->stack.sp] = next; gen->stack.sp++;
-    } else if (top == Cudd_Not(DD_ONE(dd)) || top == dd->background) {
-        /* Backtrack */
-        while (1) {
-        if (gen->stack.sp == 1) {
-            /* The current node has no predecessor. */
-            gen->status = CUDD_GEN_EMPTY;
-            gen->stack.sp--;
-            goto done;
-        }
-        prev = gen->stack.stack[gen->stack.sp-2];
-        preg = Cudd_Regular(prev);
-        nreg = cuddT(preg);
-        if (prev != preg) {next = Cudd_Not(nreg);} else {next = nreg;}
-        if (next != top) { /* follow the then branch next */
-            gen->gen.cubes.cube[preg->index] = 1;
-            gen->stack.stack[gen->stack.sp-1] = next;
-            break;
-        }
-        /* Pop the stack and try again. */
-        gen->gen.cubes.cube[preg->index] = 2;
-        gen->stack.sp--;
-        top = gen->stack.stack[gen->stack.sp-1];
-        treg = Cudd_Regular(top);
-        }
-    } else {
-        gen->status = CUDD_GEN_NONEMPTY;
-        gen->gen.cubes.value = cuddV(top);
-        goto done;
-    }
-    }
-
-done:
-    *cube = gen->gen.cubes.cube;
-    *value = gen->gen.cubes.value;
-    return(gen);
-
-} /* end of Cudd_FirstCube */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Generates the next cube of a decision diagram onset.]
-
-  Description [Generates the next cube of a decision diagram onset,
-  using generator gen. Returns 0 if the enumeration is completed; 1
-  otherwise.]
-
-  SideEffects [The cube and its value are returned as side effects. The
-  generator is modified.]
-
-  SeeAlso     [Cudd_ForeachCube Cudd_FirstCube Cudd_GenFree Cudd_IsGenEmpty
-  Cudd_NextNode]
-
-******************************************************************************/
-int
-Cudd_NextCube(
-  DdGen * gen,
-  int ** cube,
-  CUDD_VALUE_TYPE * value)
-{
-    DdNode *top, *treg, *next, *nreg, *prev, *preg;
-    DdManager *dd = gen->manager;
-
-    /* Backtrack from previously reached terminal node. */
-    while (1) {
-    if (gen->stack.sp == 1) {
-        /* The current node has no predecessor. */
-        gen->status = CUDD_GEN_EMPTY;
-        gen->stack.sp--;
-        goto done;
-    }
-    top = gen->stack.stack[gen->stack.sp-1];
-    treg = Cudd_Regular(top);
-    prev = gen->stack.stack[gen->stack.sp-2];
-    preg = Cudd_Regular(prev);
-    nreg = cuddT(preg);
-    if (prev != preg) {next = Cudd_Not(nreg);} else {next = nreg;}
-    if (next != top) { /* follow the then branch next */
-        gen->gen.cubes.cube[preg->index] = 1;
-        gen->stack.stack[gen->stack.sp-1] = next;
-        break;
-    }
-    /* Pop the stack and try again. */
-    gen->gen.cubes.cube[preg->index] = 2;
-    gen->stack.sp--;
-    }
-
-    while (1) {
-    top = gen->stack.stack[gen->stack.sp-1];
-    treg = Cudd_Regular(top);
-    if (!cuddIsConstant(treg)) {
-        /* Take the else branch first. */
-        gen->gen.cubes.cube[treg->index] = 0;
-        next = cuddE(treg);
-        if (top != treg) next = Cudd_Not(next);
-        gen->stack.stack[gen->stack.sp] = next; gen->stack.sp++;
-    } else if (top == Cudd_Not(DD_ONE(dd)) || top == dd->background) {
-        /* Backtrack */
-        while (1) {
-        if (gen->stack.sp == 1) {
-            /* The current node has no predecessor. */
-            gen->status = CUDD_GEN_EMPTY;
-            gen->stack.sp--;
-            goto done;
-        }
-        prev = gen->stack.stack[gen->stack.sp-2];
-        preg = Cudd_Regular(prev);
-        nreg = cuddT(preg);
-        if (prev != preg) {next = Cudd_Not(nreg);} else {next = nreg;}
-        if (next != top) { /* follow the then branch next */
-            gen->gen.cubes.cube[preg->index] = 1;
-            gen->stack.stack[gen->stack.sp-1] = next;
-            break;
-        }
-        /* Pop the stack and try again. */
-        gen->gen.cubes.cube[preg->index] = 2;
-        gen->stack.sp--;
-        top = gen->stack.stack[gen->stack.sp-1];
-        treg = Cudd_Regular(top);
-        }
-    } else {
-        gen->status = CUDD_GEN_NONEMPTY;
-        gen->gen.cubes.value = cuddV(top);
-        goto done;
-    }
-    }
-
-done:
-    if (gen->status == CUDD_GEN_EMPTY) return(0);
-    *cube = gen->gen.cubes.cube;
-    *value = gen->gen.cubes.value;
-    return(1);
-
-} /* end of Cudd_NextCube */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the cube of an array of BDD variables.]
-
-  Description [Computes the cube of an array of BDD variables. If
-  non-null, the phase argument indicates which literal of each
-  variable should appear in the cube. If phase\[i\] is nonzero, then the
-  positive literal is used. If phase is NULL, the cube is positive unate.
-  Returns a pointer to the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_addComputeCube Cudd_IndicesToCube Cudd_CubeArrayToBdd]
-
-******************************************************************************/
-DdNode *
-Cudd_bddComputeCube(
-  DdManager * dd,
-  DdNode ** vars,
-  int * phase,
-  int  n)
-{
-    DdNode    *cube;
-    DdNode     *fn;
-    int         i;
-
-    cube = DD_ONE(dd);
-    cuddRef(cube);
-
-    for (i = n - 1; i >= 0; i--) {
-    if (phase == NULL || phase[i] != 0) {
-        fn = Cudd_bddAnd(dd,vars[i],cube);
-    } else {
-        fn = Cudd_bddAnd(dd,Cudd_Not(vars[i]),cube);
-    }
-    if (fn == NULL) {
-        Cudd_RecursiveDeref(dd,cube);
-        return(NULL);
-    }
-    cuddRef(fn);
-    Cudd_RecursiveDeref(dd,cube);
-    cube = fn;
-    }
-    cuddDeref(cube);
-
-    return(cube);
-
-}  /* end of Cudd_bddComputeCube */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the cube of an array of ADD variables.]
-
-  Description [Computes the cube of an array of ADD variables.  If
-  non-null, the phase argument indicates which literal of each
-  variable should appear in the cube. If phase\[i\] is nonzero, then the
-  positive literal is used. If phase is NULL, the cube is positive unate.
-  Returns a pointer to the result if successful; NULL otherwise.]
-
-  SideEffects [none]
-
-  SeeAlso     [Cudd_bddComputeCube]
-
-******************************************************************************/
-DdNode *
-Cudd_addComputeCube(
-  DdManager * dd,
-  DdNode ** vars,
-  int * phase,
-  int  n)
-{
-    DdNode    *cube, *zero;
-    DdNode     *fn;
-    int         i;
-
-    cube = DD_ONE(dd);
-    cuddRef(cube);
-    zero = DD_ZERO(dd);
-
-    for (i = n - 1; i >= 0; i--) {
-    if (phase == NULL || phase[i] != 0) {
-        fn = Cudd_addIte(dd,vars[i],cube,zero);
-    } else {
-        fn = Cudd_addIte(dd,vars[i],zero,cube);
-    }
-    if (fn == NULL) {
-        Cudd_RecursiveDeref(dd,cube);
-        return(NULL);
-    }
-    cuddRef(fn);
-    Cudd_RecursiveDeref(dd,cube);
-    cube = fn;
-    }
-    cuddDeref(cube);
-
-    return(cube);
-
-} /* end of Cudd_addComputeCube */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Builds the BDD of a cube from a positional array.]
-
-  Description [Builds a cube from a positional array.  The array must
-  have one integer entry for each BDD variable.  If the i-th entry is
-  1, the variable of index i appears in true form in the cube; If the
-  i-th entry is 0, the variable of index i appears complemented in the
-  cube; otherwise the variable does not appear in the cube.  Returns a
-  pointer to the BDD for the cube if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddComputeCube Cudd_IndicesToCube Cudd_BddToCubeArray]
-
-******************************************************************************/
-DdNode *
-Cudd_CubeArrayToBdd(
-  DdManager *dd,
-  int *array)
-{
-    DdNode *cube, *var, *tmp;
-    int i;
-    int size = Cudd_ReadSize(dd);
-
-    cube = DD_ONE(dd);
-    cuddRef(cube);
-    for (i = size - 1; i >= 0; i--) {
-    if ((array[i] & ~1) == 0) {
-        var = Cudd_bddIthVar(dd,i);
-        tmp = Cudd_bddAnd(dd,cube,Cudd_NotCond(var,array[i]==0));
-        if (tmp == NULL) {
-        Cudd_RecursiveDeref(dd,cube);
-        return(NULL);
-        }
-        cuddRef(tmp);
-        Cudd_RecursiveDeref(dd,cube);
-        cube = tmp;
-    }
-    }
-    cuddDeref(cube);
-    return(cube);
-
-} /* end of Cudd_CubeArrayToBdd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Builds a positional array from the BDD of a cube.]
-
-  Description [Builds a positional array from the BDD of a cube.
-  Array must have one entry for each BDD variable.  The positional
-  array has 1 in i-th position if the variable of index i appears in
-  true form in the cube; it has 0 in i-th position if the variable of
-  index i appears in complemented form in the cube; finally, it has 2
-  in i-th position if the variable of index i does not appear in the
-  cube.  Returns 1 if successful (the BDD is indeed a cube); 0
-  otherwise.]
-
-  SideEffects [The result is in the array passed by reference.]
-
-  SeeAlso     [Cudd_CubeArrayToBdd]
-
-******************************************************************************/
-int
-Cudd_BddToCubeArray(
-  DdManager *dd,
-  DdNode *cube,
-  int *array)
-{
-    DdNode *scan, *t, *e;
-    int i;
-    int size = Cudd_ReadSize(dd);
-    DdNode *zero = Cudd_Not(DD_ONE(dd));
-
-    for (i = size-1; i >= 0; i--) {
-    array[i] = 2;
-    }
-    scan = cube;
-    while (!Cudd_IsConstant(scan)) {
-    int index = Cudd_Regular(scan)->index;
-    cuddGetBranches(scan,&t,&e);
-    if (t == zero) {
-        array[index] = 0;
-        scan = e;
-    } else if (e == zero) {
-        array[index] = 1;
-        scan = t;
-    } else {
-        return(0);    /* cube is not a cube */
-    }
-    }
-    if (scan == zero) {
-    return(0);
-    } else {
-    return(1);
-    }
-
-} /* end of Cudd_BddToCubeArray */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the first node of a decision diagram.]
-
-  Description [Defines an iterator on the nodes of a decision diagram
-  and finds its first node. Returns a generator that contains the
-  information necessary to continue the enumeration if successful; NULL
-  otherwise.]
-
-  SideEffects [The first node is returned as a side effect.]
-
-  SeeAlso     [Cudd_ForeachNode Cudd_NextNode Cudd_GenFree Cudd_IsGenEmpty
-  Cudd_FirstCube]
-
-******************************************************************************/
-DdGen *
-Cudd_FirstNode(
-  DdManager * dd,
-  DdNode * f,
-  DdNode ** node)
-{
-    DdGen *gen;
-    int retval;
-
-    /* Sanity Check. */
-    if (dd == NULL || f == NULL) return(NULL);
-
-    /* Allocate generator an initialize it. */
-    gen = ALLOC(DdGen,1);
-    if (gen == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-
-    gen->manager = dd;
-    gen->type = CUDD_GEN_NODES;
-    gen->status = CUDD_GEN_EMPTY;
-    gen->gen.nodes.visited = NULL;
-    gen->gen.nodes.stGen = NULL;
-    gen->stack.sp = 0;
-    gen->stack.stack = NULL;
-    gen->node = NULL;
-
-    gen->gen.nodes.visited = st_init_table(st_ptrcmp,st_ptrhash);
-    if (gen->gen.nodes.visited == NULL) {
-    FREE(gen);
-    return(NULL);
-    }
-
-    /* Collect all the nodes in a st table for later perusal. */
-    retval = cuddCollectNodes(Cudd_Regular(f),gen->gen.nodes.visited);
-    if (retval == 0) {
-    st_free_table(gen->gen.nodes.visited);
-    FREE(gen);
-    return(NULL);
-    }
-
-    /* Initialize the st table generator. */
-    gen->gen.nodes.stGen = st_init_gen(gen->gen.nodes.visited);
-    if (gen->gen.nodes.stGen == NULL) {
-    st_free_table(gen->gen.nodes.visited);
-    FREE(gen);
-    return(NULL);
-    }
-
-    /* Find the first node. */
-    retval = st_gen(gen->gen.nodes.stGen, (char **) &(gen->node), NULL);
-    if (retval != 0) {
-    gen->status = CUDD_GEN_NONEMPTY;
-    *node = gen->node;
-    }
-
-    return(gen);
-
-} /* end of Cudd_FirstNode */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the next node of a decision diagram.]
-
-  Description [Finds the node of a decision diagram, using generator
-  gen. Returns 0 if the enumeration is completed; 1 otherwise.]
-
-  SideEffects [The next node is returned as a side effect.]
-
-  SeeAlso     [Cudd_ForeachNode Cudd_FirstNode Cudd_GenFree Cudd_IsGenEmpty
-  Cudd_NextCube]
-
-******************************************************************************/
-int
-Cudd_NextNode(
-  DdGen * gen,
-  DdNode ** node)
-{
-    int retval;
-
-    /* Find the next node. */
-    retval = st_gen(gen->gen.nodes.stGen, (char **) &(gen->node), NULL);
-    if (retval == 0) {
-    gen->status = CUDD_GEN_EMPTY;
-    } else {
-    *node = gen->node;
-    }
-
-    return(retval);
-
-} /* end of Cudd_NextNode */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Frees a CUDD generator.]
-
-  Description [Frees a CUDD generator. Always returns 0, so that it can
-  be used in mis-like foreach constructs.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ForeachCube Cudd_ForeachNode Cudd_FirstCube Cudd_NextCube
-  Cudd_FirstNode Cudd_NextNode Cudd_IsGenEmpty]
-
-******************************************************************************/
-int
-Cudd_GenFree(
-  DdGen * gen)
-{
-
-    if (gen == NULL) return(0);
-    switch (gen->type) {
-    case CUDD_GEN_CUBES:
-    case CUDD_GEN_ZDD_PATHS:
-    FREE(gen->gen.cubes.cube);
-    FREE(gen->stack.stack);
-    break;
-    case CUDD_GEN_NODES:
-    st_free_gen(gen->gen.nodes.stGen);
-    st_free_table(gen->gen.nodes.visited);
-    break;
-    default:
-    return(0);
-    }
-    FREE(gen);
-    return(0);
-
-} /* end of Cudd_GenFree */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Queries the status of a generator.]
-
-  Description [Queries the status of a generator. Returns 1 if the
-  generator is empty or NULL; 0 otherswise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_ForeachCube Cudd_ForeachNode Cudd_FirstCube Cudd_NextCube
-  Cudd_FirstNode Cudd_NextNode Cudd_GenFree]
-
-******************************************************************************/
-int
-Cudd_IsGenEmpty(
-  DdGen * gen)
-{
-    if (gen == NULL) return(1);
-    return(gen->status == CUDD_GEN_EMPTY);
-
-} /* end of Cudd_IsGenEmpty */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Builds a cube of BDD variables from an array of indices.]
-
-  Description [Builds a cube of BDD variables from an array of indices.
-  Returns a pointer to the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddComputeCube Cudd_CubeArrayToBdd]
-
-******************************************************************************/
-DdNode *
-Cudd_IndicesToCube(
-  DdManager * dd,
-  int * array,
-  int  n)
-{
-    DdNode *cube, *tmp;
-    int i;
-
-    cube = DD_ONE(dd);
-    cuddRef(cube);
-    for (i = n - 1; i >= 0; i--) {
-    tmp = Cudd_bddAnd(dd,Cudd_bddIthVar(dd,array[i]),cube);
-    if (tmp == NULL) {
-        Cudd_RecursiveDeref(dd,cube);
-        return(NULL);
-    }
-    cuddRef(tmp);
-    Cudd_RecursiveDeref(dd,cube);
-    cube = tmp;
-    }
-
-    cuddDeref(cube);
-    return(cube);
-
-} /* end of Cudd_IndicesToCube */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints the package version number.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-Cudd_PrintVersion(
-  FILE * fp)
-{
-    (void) fprintf(fp, "%s\n", CUDD_VERSION);
-
-} /* end of Cudd_PrintVersion */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the average distance between adjacent nodes.]
-
-  Description [Computes the average distance between adjacent nodes in
-  the manager. Adjacent nodes are node pairs such that the second node
-  is the then child, else child, or next node in the collision list.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-double
-Cudd_AverageDistance(
-  DdManager * dd)
-{
-    double tetotal, nexttotal;
-    double tesubtotal, nextsubtotal;
-    double temeasured, nextmeasured;
-    int i, j;
-    int slots, nvars;
-    long diff;
-    DdNode *scan;
-    DdNodePtr *nodelist;
-    DdNode *sentinel = &(dd->sentinel);
-
-    nvars = dd->size;
-    if (nvars == 0) return(0.0);
-
-    /* Initialize totals. */
-    tetotal = 0.0;
-    nexttotal = 0.0;
-    temeasured = 0.0;
-    nextmeasured = 0.0;
-
-    /* Scan the variable subtables. */
-    for (i = 0; i < nvars; i++) {
-    nodelist = dd->subtables[i].nodelist;
-    tesubtotal = 0.0;
-    nextsubtotal = 0.0;
-    slots = dd->subtables[i].slots;
-    for (j = 0; j < slots; j++) {
-        scan = nodelist[j];
-        while (scan != sentinel) {
-        diff = (long) scan - (long) cuddT(scan);
-        tesubtotal += (double) ddAbs(diff);
-        diff = (long) scan - (long) Cudd_Regular(cuddE(scan));
-        tesubtotal += (double) ddAbs(diff);
-        temeasured += 2.0;
-        if (scan->next != NULL) {
-            diff = (long) scan - (long) scan->next;
-            nextsubtotal += (double) ddAbs(diff);
-            nextmeasured += 1.0;
-        }
-        scan = scan->next;
-        }
-    }
-    tetotal += tesubtotal;
-    nexttotal += nextsubtotal;
-    }
-
-    /* Scan the constant table. */
-    nodelist = dd->constants.nodelist;
-    nextsubtotal = 0.0;
-    slots = dd->constants.slots;
-    for (j = 0; j < slots; j++) {
-    scan = nodelist[j];
-    while (scan != NULL) {
-        if (scan->next != NULL) {
-        diff = (long) scan - (long) scan->next;
-        nextsubtotal += (double) ddAbs(diff);
-        nextmeasured += 1.0;
-        }
-        scan = scan->next;
-    }
-    }
-    nexttotal += nextsubtotal;
-
-    return((tetotal + nexttotal) / (temeasured + nextmeasured));
-
-} /* end of Cudd_AverageDistance */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Portable random number generator.]
-
-  Description [Portable number generator based on ran2 from "Numerical
-  Recipes in C." It is a long period (> 2 * 10^18) random number generator
-  of L'Ecuyer with Bays-Durham shuffle. Returns a long integer uniformly
-  distributed between 0 and 2147483561 (inclusive of the endpoint values).
-  The random generator can be explicitly initialized by calling
-  Cudd_Srandom. If no explicit initialization is performed, then the
-  seed 1 is assumed.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_Srandom]
-
-******************************************************************************/
-long
-Cudd_Random(
-   )
-{
-    int i;    /* index in the shuffle table */
-    long int w; /* work variable */
-
-    /* cuddRand == 0 if the geneartor has not been initialized yet. */
-    if (cuddRand == 0) Cudd_Srandom(1);
-
-    /* Compute cuddRand = (cuddRand * LEQA1) % MODULUS1 avoiding
-    ** overflows by Schrage's method.
-    */
-    w          = cuddRand / LEQQ1;
-    cuddRand   = LEQA1 * (cuddRand - w * LEQQ1) - w * LEQR1;
-    cuddRand  += (cuddRand < 0) * MODULUS1;
-
-    /* Compute cuddRand2 = (cuddRand2 * LEQA2) % MODULUS2 avoiding
-    ** overflows by Schrage's method.
-    */
-    w          = cuddRand2 / LEQQ2;
-    cuddRand2  = LEQA2 * (cuddRand2 - w * LEQQ2) - w * LEQR2;
-    cuddRand2 += (cuddRand2 < 0) * MODULUS2;
-
-    /* cuddRand is shuffled with the Bays-Durham algorithm.
-    ** shuffleSelect and cuddRand2 are combined to generate the output.
-    */
-
-    /* Pick one element from the shuffle table; "i" will be in the range
-    ** from 0 to STAB_SIZE-1.
-    */
-    i = (int) (shuffleSelect / STAB_DIV);
-    /* Mix the element of the shuffle table with the current iterate of
-    ** the second sub-generator, and replace the chosen element of the
-    ** shuffle table with the current iterate of the first sub-generator.
-    */
-    shuffleSelect   = shuffleTable[i] - cuddRand2;
-    shuffleTable[i] = cuddRand;
-    shuffleSelect  += (shuffleSelect < 1) * (MODULUS1 - 1);
-    /* Since shuffleSelect != 0, and we want to be able to return 0,
-    ** here we subtract 1 before returning.
-    */
-    return(shuffleSelect - 1);
-
-} /* end of Cudd_Random */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Initializer for the portable random number generator.]
-
-  Description [Initializer for the portable number generator based on
-  ran2 in "Numerical Recipes in C." The input is the seed for the
-  generator. If it is negative, its absolute value is taken as seed.
-  If it is 0, then 1 is taken as seed. The initialized sets up the two
-  recurrences used to generate a long-period stream, and sets up the
-  shuffle table.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_Random]
-
-******************************************************************************/
-void
-Cudd_Srandom(
-  long  seed)
-{
-    int i;
-
-    if (seed < 0)       cuddRand = -seed;
-    else if (seed == 0) cuddRand = 1;
-    else                cuddRand = seed;
-    cuddRand2 = cuddRand;
-    /* Load the shuffle table (after 11 warm-ups). */
-    for (i = 0; i < STAB_SIZE + 11; i++) {
-    long int w;
-    w = cuddRand / LEQQ1;
-    cuddRand = LEQA1 * (cuddRand - w * LEQQ1) - w * LEQR1;
-    cuddRand += (cuddRand < 0) * MODULUS1;
-    shuffleTable[i % STAB_SIZE] = cuddRand;
-    }
-    shuffleSelect = shuffleTable[1 % STAB_SIZE];
-
-} /* end of Cudd_Srandom */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the density of a BDD or ADD.]
-
-  Description [Computes the density of a BDD or ADD. The density is
-  the ratio of the number of minterms to the number of nodes. If 0 is
-  passed as number of variables, the number of variables existing in
-  the manager is used. Returns the density if successful; (double)
-  CUDD_OUT_OF_MEM otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_CountMinterm Cudd_DagSize]
-
-******************************************************************************/
-double
-Cudd_Density(
-  DdManager * dd /* manager */,
-  DdNode * f /* function whose density is sought */,
-  int  nvars /* size of the support of f */)
-{
-    double minterms;
-    int nodes;
-    double density;
-
-    if (nvars == 0) nvars = dd->size;
-    minterms = Cudd_CountMinterm(dd,f,nvars);
-    if (minterms == (double) CUDD_OUT_OF_MEM) return(minterms);
-    nodes = Cudd_DagSize(f);
-    density = minterms / (double) nodes;
-    return(density);
-
-} /* end of Cudd_Density */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Warns that a memory allocation failed.]
-
-  Description [Warns that a memory allocation failed.
-  This function can be used as replacement of MMout_of_memory to prevent
-  the safe_mem functions of the util package from exiting when malloc
-  returns NULL. One possible use is in case of discretionary allocations;
-  for instance, the allocation of memory to enlarge the computed table.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-Cudd_OutOfMem(
-  long size /* size of the allocation that failed */)
-{
-    (void) fflush(stdout);
-    (void) fprintf(stderr, "\nunable to allocate %ld bytes\n", size);
-    return;
-
-} /* end of Cudd_OutOfMem */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints a DD to the standard output. One line per node is
-  printed.]
-
-  Description [Prints a DD to the standard output. One line per node is
-  printed. Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_PrintDebug]
-
-******************************************************************************/
-int
-cuddP(
-  DdManager * dd,
-  DdNode * f)
-{
-    int retval;
-    st_table *table = st_init_table(st_ptrcmp,st_ptrhash);
-
-    if (table == NULL) return(0);
-
-    retval = dp2(dd,f,table);
-    st_free_table(table);
-    (void) fputc('\n',dd->out);
-    return(retval);
-
-} /* end of cuddP */
-
-
-/**Function********************************************************************
-
-  Synopsis [Frees the memory used to store the minterm counts recorded
-  in the visited table.]
-
-  Description [Frees the memory used to store the minterm counts
-  recorded in the visited table. Returns ST_CONTINUE.]
-
-  SideEffects [None]
-
-******************************************************************************/
-enum st_retval
-cuddStCountfree(
-  char * key,
-  char * value,
-  char * arg)
-{
-    double    *d;
-
-    d = (double *)value;
-    FREE(d);
-    return(ST_CONTINUE);
-
-} /* end of cuddStCountfree */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Recursively collects all the nodes of a DD in a symbol
-  table.]
-
-  Description [Traverses the BDD f and collects all its nodes in a
-  symbol table.  f is assumed to be a regular pointer and
-  cuddCollectNodes guarantees this assumption in the recursive calls.
-  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddCollectNodes(
-  DdNode * f,
-  st_table * visited)
-{
-    DdNode    *T, *E;
-    int        retval;
-
-#ifdef DD_DEBUG
-    assert(!Cudd_IsComplement(f));
-#endif
-
-    /* If already visited, nothing to do. */
-    if (st_is_member(visited, (char *) f) == 1)
-        return(1);
-
-    /* Check for abnormal condition that should never happen. */
-    if (f == NULL)
-        return(0);
-
-    /* Mark node as visited. */
-    if (st_add_direct(visited, (char *) f, NULL) == ST_OUT_OF_MEM)
-        return(0);
-
-    /* Check terminal case. */
-    if (cuddIsConstant(f))
-    return(1);
-
-    /* Recursive calls. */
-    T = cuddT(f);
-    retval = cuddCollectNodes(T,visited);
-    if (retval != 1) return(retval);
-    E = Cudd_Regular(cuddE(f));
-    retval = cuddCollectNodes(E,visited);
-    return(retval);
-
-} /* end of cuddCollectNodes */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of cuddP.]
-
-  Description [Performs the recursive step of cuddP. Returns 1 in case
-  of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-dp2(
-  DdManager *dd,
-  DdNode * f,
-  st_table * t)
-{
-    DdNode *g, *n, *N;
-    int T,E;
-    
-    if (f == NULL) {
-        return(0);
-    }
-    g = Cudd_Regular(f);
-    if (cuddIsConstant(g)) {
-#if SIZEOF_VOID_P == 8
-        (void) fprintf(dd->out,"ID = %c0x%lx\tvalue = %-9g\n", bang(f),
-        (unsigned long) g / (unsigned long) sizeof(DdNode),cuddV(g));
-#else
-        (void) fprintf(dd->out,"ID = %c0x%x\tvalue = %-9g\n", bang(f),
-        (unsigned) g / (unsigned) sizeof(DdNode),cuddV(g));
-#endif
-    return(1);
-    }
-    if (st_is_member(t,(char *) g) == 1) {
-        return(1);
-    }
-    if (st_add_direct(t,(char *) g,NULL) == ST_OUT_OF_MEM)
-    return(0);
-#ifdef DD_STATS
-#if SIZEOF_VOID_P == 8
-    (void) fprintf(dd->out,"ID = %c0x%lx\tindex = %d\tr = %d\t", bang(f),
-        (unsigned long) g / (unsigned long) sizeof(DdNode), g->index, g->ref);
-#else
-    (void) fprintf(dd->out,"ID = %c0x%x\tindex = %d\tr = %d\t", bang(f),
-        (unsigned) g / (unsigned) sizeof(DdNode),g->index,g->ref);
-#endif
-#else
-#if SIZEOF_VOID_P == 8
-    (void) fprintf(dd->out,"ID = %c0x%lx\tindex = %d\t", bang(f),
-        (unsigned long) g / (unsigned long) sizeof(DdNode),g->index);
-#else
-    (void) fprintf(dd->out,"ID = %c0x%x\tindex = %d\t", bang(f),
-        (unsigned) g / (unsigned) sizeof(DdNode),g->index);
-#endif
-#endif
-    n = cuddT(g);
-    if (cuddIsConstant(n)) {
-        (void) fprintf(dd->out,"T = %-9g\t",cuddV(n));
-    T = 1;
-    } else {
-#if SIZEOF_VOID_P == 8
-        (void) fprintf(dd->out,"T = 0x%lx\t",(unsigned long) n / (unsigned long) sizeof(DdNode));
-#else
-        (void) fprintf(dd->out,"T = 0x%x\t",(unsigned) n / (unsigned) sizeof(DdNode));
-#endif
-    T = 0;
-    }
-
-    n = cuddE(g);
-    N = Cudd_Regular(n);
-    if (cuddIsConstant(N)) {
-        (void) fprintf(dd->out,"E = %c%-9g\n",bang(n),cuddV(N));
-    E = 1;
-    } else {
-#if SIZEOF_VOID_P == 8
-        (void) fprintf(dd->out,"E = %c0x%lx\n", bang(n), (unsigned long) N/(unsigned long) sizeof(DdNode));
-#else
-        (void) fprintf(dd->out,"E = %c0x%x\n", bang(n), (unsigned) N/(unsigned) sizeof(DdNode));
-#endif
-    E = 0;
-    }
-    if (E == 0) {
-        if (dp2(dd,N,t) == 0)
-        return(0);
-    }
-    if (T == 0) {
-        if (dp2(dd,cuddT(g),t) == 0)
-        return(0);
-    }
-    return(1);
-
-} /* end of dp2 */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_PrintMinterm.]
-
-  Description []
-
-  SideEffects [None]
-
-******************************************************************************/
-static void
-ddPrintMintermAux(
-  DdManager * dd /* manager */,
-  DdNode * node /* current node */,
-  int * list /* current recursion path */)
-{
-    DdNode    *N,*Nv,*Nnv;
-    int        i,v,index;
-
-    N = Cudd_Regular(node);
-
-    if (cuddIsConstant(N)) {
-    /* Terminal case: Print one cube based on the current recursion
-    ** path, unless we have reached the background value (ADDs) or
-    ** the logical zero (BDDs).
-    */
-    if (node != background && node != zero) {
-        for (i = 0; i < dd->size; i++) {
-        v = list[i];
-        if (v == 0) (void) fprintf(dd->out,"0");
-        else if (v == 1) (void) fprintf(dd->out,"1");
-        else (void) fprintf(dd->out,"-");
-        }
-        (void) fprintf(dd->out," % g\n", cuddV(node));
-    }
-    } else {
-    Nv  = cuddT(N);
-    Nnv = cuddE(N);
-    if (Cudd_IsComplement(node)) {
-        Nv  = Cudd_Not(Nv);
-        Nnv = Cudd_Not(Nnv);
-    }
-    index = N->index;
-    list[index] = 0;
-    ddPrintMintermAux(dd,Nnv,list); 
-    list[index] = 1;
-    ddPrintMintermAux(dd,Nv,list);
-    list[index] = 2;
-    }
-    return;
-
-} /* end of ddPrintMintermAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_DagSize.]
-
-  Description [Performs the recursive step of Cudd_DagSize. Returns the
-  number of nodes in the graph rooted at n.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddDagInt(
-  DdNode * n)
-{
-    int tval, eval;
-
-    if (Cudd_IsComplement(n->next)) {
-    return(0);
-    }
-    n->next = Cudd_Not(n->next);
-    if (cuddIsConstant(n)) {
-    return(1);
-    }
-    tval = ddDagInt(cuddT(n));
-    eval = ddDagInt(Cudd_Regular(cuddE(n)));
-    return(1 + tval + eval);
-
-} /* end of ddDagInt */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_CofactorEstimate.]
-
-  Description [Performs the recursive step of Cudd_CofactorEstimate.
-  Returns an estimate of the number of nodes in the DD of a
-  cofactor of node. Uses the least significant bit of the next field as
-  visited flag. node is supposed to be regular; the invariant is maintained
-  by this procedure.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-cuddEstimateCofactor(
-  DdManager *dd,
-  st_table *table,
-  DdNode * node,
-  int i,
-  int phase,
-  DdNode ** ptr)
-{
-    int tval, eval, val;
-    DdNode *ptrT, *ptrE;
-
-    if (Cudd_IsComplement(node->next)) {
-    if (!st_lookup(table,(char *)node,(char **)ptr)) {
-        st_add_direct(table,(char *)node,(char *)node);
-        *ptr = node;
-    }
-    return(0);
-    }
-    node->next = Cudd_Not(node->next);
-    if (cuddIsConstant(node)) {
-    *ptr = node;
-    if (st_add_direct(table,(char *)node,(char *)node) == ST_OUT_OF_MEM)
-        return(CUDD_OUT_OF_MEM);
-    return(1);
-    }
-    if ((int) node->index == i) {
-    if (phase == 1) {
-        *ptr = cuddT(node);
-        val = ddDagInt(cuddT(node));
-    } else {
-        *ptr = cuddE(node);
-        val = ddDagInt(Cudd_Regular(cuddE(node)));
-    }
-    if (node->ref > 1) {
-        if (st_add_direct(table,(char *)node,(char *)*ptr) ==
-        ST_OUT_OF_MEM)
-        return(CUDD_OUT_OF_MEM);
-    }
-    return(val);
-    }
-    if (dd->perm[node->index] > dd->perm[i]) {
-    *ptr = node;
-    tval = ddDagInt(cuddT(node));
-    eval = ddDagInt(Cudd_Regular(cuddE(node)));
-    if (node->ref > 1) {
-        if (st_add_direct(table,(char *)node,(char *)node) ==
-        ST_OUT_OF_MEM)
-        return(CUDD_OUT_OF_MEM);
-    }
-    val = 1 + tval + eval;
-    return(val);
-    }
-    tval = cuddEstimateCofactor(dd,table,cuddT(node),i,phase,&ptrT);
-    eval = cuddEstimateCofactor(dd,table,Cudd_Regular(cuddE(node)),i,
-                phase,&ptrE);
-    ptrE = Cudd_NotCond(ptrE,Cudd_IsComplement(cuddE(node)));
-    if (ptrT == ptrE) {        /* recombination */
-    *ptr = ptrT;
-    val = tval;
-    if (node->ref > 1) {
-        if (st_add_direct(table,(char *)node,(char *)*ptr) ==
-            ST_OUT_OF_MEM)
-        return(CUDD_OUT_OF_MEM);
-    }
-    } else if ((ptrT != cuddT(node) || ptrE != cuddE(node)) &&
-           (*ptr = cuddUniqueLookup(dd,node->index,ptrT,ptrE)) != NULL) {
-    if (Cudd_IsComplement((*ptr)->next)) {
-        val = 0;
-    } else {
-        val = 1 + tval + eval;
-    }
-    if (node->ref > 1) {
-        if (st_add_direct(table,(char *)node,(char *)*ptr) ==
-            ST_OUT_OF_MEM)
-        return(CUDD_OUT_OF_MEM);
-    }
-    } else {
-    *ptr = node;
-    val = 1 + tval + eval;
-    }
-    return(val);
-
-} /* end of cuddEstimateCofactor */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Checks the unique table for the existence of an internal node.]
-
-  Description [Checks the unique table for the existence of an internal
-  node. Returns a pointer to the node if it is in the table; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddUniqueInter]
-
-******************************************************************************/
-static DdNode *
-cuddUniqueLookup(
-  DdManager * unique,
-  int  index,
-  DdNode * T,
-  DdNode * E)
-{
-    int posn;
-    unsigned int level;
-    DdNodePtr *nodelist;
-    DdNode *looking;
-    DdSubtable *subtable;
-
-    if (index >= unique->size) {
-    return(NULL);
-    }
-
-    level = unique->perm[index];
-    subtable = &(unique->subtables[level]);
-
-#ifdef DD_DEBUG
-    assert(level < (unsigned) cuddI(unique,T->index));
-    assert(level < (unsigned) cuddI(unique,Cudd_Regular(E)->index));
-#endif
-
-    posn = ddHash(T, E, subtable->shift);
-    nodelist = subtable->nodelist;
-    looking = nodelist[posn];
-
-    while (T < cuddT(looking)) {
-    looking = Cudd_Regular(looking->next);
-    }
-    while (T == cuddT(looking) && E < cuddE(looking)) {
-    looking = Cudd_Regular(looking->next);
-    }
-    if (cuddT(looking) == T && cuddE(looking) == E) {
-    return(looking);
-    }
-
-    return(NULL);
-
-} /* end of cuddUniqueLookup */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_CofactorEstimateSimple.]
-
-  Description [Performs the recursive step of Cudd_CofactorEstimateSimple.
-  Returns an estimate of the number of nodes in the DD of the positive
-  cofactor of node. Uses the least significant bit of the next field as
-  visited flag. node is supposed to be regular; the invariant is maintained
-  by this procedure.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-cuddEstimateCofactorSimple(
-  DdNode * node,
-  int i)
-{
-    int tval, eval;
-
-    if (Cudd_IsComplement(node->next)) {
-    return(0);
-    }
-    node->next = Cudd_Not(node->next);
-    if (cuddIsConstant(node)) {
-    return(1);
-    }
-    tval = cuddEstimateCofactorSimple(cuddT(node),i);
-    if ((int) node->index == i) return(tval);
-    eval = cuddEstimateCofactorSimple(Cudd_Regular(cuddE(node)),i);
-    return(1 + tval + eval);
-
-} /* end of cuddEstimateCofactorSimple */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_CountMinterm.]
-
-  Description [Performs the recursive step of Cudd_CountMinterm.
-  It is based on the following identity. Let |f| be the
-  number of minterms of f. Then:
-  <xmp>
-    |f| = (|f0|+|f1|)/2
-  </xmp>
-  where f0 and f1 are the two cofactors of f.  Does not use the
-  identity |f'| = max - |f|, to minimize loss of accuracy due to
-  roundoff.  Returns the number of minterms of the function rooted at
-  node.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static double
-ddCountMintermAux(
-  DdNode * node,
-  double  max,
-  DdHashTable * table)
-{
-    DdNode    *N, *Nt, *Ne;
-    double    min, minT, minE;
-    DdNode    *res;
-
-    N = Cudd_Regular(node);
-
-    if (cuddIsConstant(N)) {
-    if (node == background || node == zero) {
-        return(0.0);
-    } else {
-        return(max);
-    }
-    }
-    if (N->ref != 1 && (res = cuddHashTableLookup1(table,node)) != NULL) {
-    min = cuddV(res);
-    if (res->ref == 0) {
-        table->manager->dead++;
-        table->manager->constants.dead++;
-    }
-    return(min);
-    }
-
-    Nt = cuddT(N); Ne = cuddE(N);
-    if (Cudd_IsComplement(node)) {
-    Nt = Cudd_Not(Nt); Ne = Cudd_Not(Ne);
-    }
-
-    minT = ddCountMintermAux(Nt,max,table);
-    if (minT == (double)CUDD_OUT_OF_MEM) return((double)CUDD_OUT_OF_MEM);
-    minT *= 0.5;
-    minE = ddCountMintermAux(Ne,max,table);
-    if (minE == (double)CUDD_OUT_OF_MEM) return((double)CUDD_OUT_OF_MEM);
-    minE *= 0.5;
-    min = minT + minE;
-
-    if (N->ref != 1) {
-    ptrint fanout = (ptrint) N->ref;
-    cuddSatDec(fanout);
-    res = cuddUniqueConst(table->manager,min);
-    if (!cuddHashTableInsert1(table,node,res,fanout)) {
-        cuddRef(res); Cudd_RecursiveDeref(table->manager, res);
-        return((double)CUDD_OUT_OF_MEM);
-    }
-    }
-
-    return(min);
-
-} /* end of ddCountMintermAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_CountPath.]
-
-  Description [Performs the recursive step of Cudd_CountPath.
-  It is based on the following identity. Let |f| be the
-  number of paths of f. Then:
-  <xmp>
-    |f| = |f0|+|f1|
-  </xmp>
-  where f0 and f1 are the two cofactors of f.  Uses the
-  identity |f'| = |f|, to improve the utilization of the (local) cache.
-  Returns the number of paths of the function rooted at node.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static double
-ddCountPathAux(
-  DdNode * node,
-  st_table * table)
-{
-
-    DdNode    *Nv, *Nnv;
-    double    paths, *ppaths, paths1, paths2;
-    double    *dummy;
-
-
-    if (cuddIsConstant(node)) {
-    return(1.0);
-    }
-    if (st_lookup(table, (char *)node, (char **)&dummy)) {
-    paths = *dummy;
-    return(paths);
-    }
-
-    Nv = cuddT(node); Nnv = cuddE(node);
-
-    paths1 = ddCountPathAux(Nv,table);
-    if (paths1 == (double)CUDD_OUT_OF_MEM) return((double)CUDD_OUT_OF_MEM);
-    paths2 = ddCountPathAux(Cudd_Regular(Nnv),table);
-    if (paths2 == (double)CUDD_OUT_OF_MEM) return((double)CUDD_OUT_OF_MEM);
-    paths = paths1 + paths2;
-    
-    ppaths = ALLOC(double,1);
-    if (ppaths == NULL) {
-    return((double)CUDD_OUT_OF_MEM);
-    }
-
-    *ppaths = paths;
-
-    if (st_add_direct(table,(char *)node, (char *)ppaths) == ST_OUT_OF_MEM) {
-    FREE(ppaths);
-    return((double)CUDD_OUT_OF_MEM);
-    }
-    return(paths);
-
-} /* end of ddCountPathAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_CountMinterm.]
-
-  Description [Performs the recursive step of Cudd_CountMinterm.
-  It is based on the following identity. Let |f| be the
-  number of minterms of f. Then:
-  <xmp>
-    |f| = (|f0|+|f1|)/2
-  </xmp>
-  where f0 and f1 are the two cofactors of f.  Does not use the
-  identity |f'| = max - |f|, to minimize loss of accuracy due to
-  roundoff.  Returns the number of minterms of the function rooted at
-  node.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddEpdCountMintermAux(
-  DdNode * node,
-  EpDouble * max,
-  EpDouble * epd,
-  st_table * table)
-{
-    DdNode    *Nt, *Ne;
-    EpDouble    *min, minT, minE;
-    EpDouble    *res;
-    int        status;
-
-    if (cuddIsConstant(node)) {
-    if (node == background || node == zero) {
-        EpdMakeZero(epd, 0);
-    } else {
-        EpdCopy(max, epd);
-    }
-    return(0);
-    }
-    if (node->ref != 1 && st_lookup(table, (char *)node, (char **)&res)) {
-    EpdCopy(res, epd);
-    return(0);
-    }
-
-    Nt = cuddT(node); Ne = cuddE(node);
-    if (Cudd_IsComplement(node)) {
-    Nt = Cudd_Not(Nt); Ne = Cudd_Not(Ne);
-    }
-
-    status = ddEpdCountMintermAux(Nt,max,&minT,table);
-    if (status == CUDD_OUT_OF_MEM) return(CUDD_OUT_OF_MEM);
-    EpdMultiply(&minT, (double)0.5);
-    status = ddEpdCountMintermAux(Ne,max,&minE,table);
-    if (status == CUDD_OUT_OF_MEM) return(CUDD_OUT_OF_MEM);
-    if (Cudd_IsComplement(Ne)) {
-        EpdSubtract3(max, &minE, epd);
-        EpdCopy(epd, &minE);
-    }
-    EpdMultiply(&minE, (double)0.5);
-    EpdAdd3(&minT, &minE, epd);
-
-    if (node->ref > 1) {
-    min = EpdAlloc();
-    if (!min)
-        return(CUDD_OUT_OF_MEM);
-    EpdCopy(epd, min);
-    if (st_insert(table, (char *)node, (char *)min) == ST_OUT_OF_MEM) {
-        EpdFree(min);
-        return(CUDD_OUT_OF_MEM);
-    }
-    }
-
-    return(0);
-
-} /* end of ddEpdCountMintermAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_CountPathsToNonZero.]
-
-  Description [Performs the recursive step of Cudd_CountPathsToNonZero.
-  It is based on the following identity. Let |f| be the
-  number of paths of f. Then:
-  <xmp>
-    |f| = |f0|+|f1|
-  </xmp>
-  where f0 and f1 are the two cofactors of f.  Returns the number of
-  paths of the function rooted at node.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static double
-ddCountPathsToNonZero(
-  DdNode * N,
-  st_table * table)
-{
-
-    DdNode    *node, *Nt, *Ne;
-    double    paths, *ppaths, paths1, paths2;
-    double    *dummy;
-
-    node = Cudd_Regular(N);
-    if (cuddIsConstant(node)) {
-    return((double) !(Cudd_IsComplement(N) || cuddV(node)==DD_ZERO_VAL));
-    }
-    if (st_lookup(table, (char *)N, (char **)&dummy)) {
-    paths = *dummy;
-    return(paths);
-    }
-
-    Nt = cuddT(node); Ne = cuddE(node);
-    if (node != N) {
-    Nt = Cudd_Not(Nt); Ne = Cudd_Not(Ne);
-    }
-
-    paths1 = ddCountPathsToNonZero(Nt,table);
-    if (paths1 == (double)CUDD_OUT_OF_MEM) return((double)CUDD_OUT_OF_MEM);
-    paths2 = ddCountPathsToNonZero(Ne,table);
-    if (paths2 == (double)CUDD_OUT_OF_MEM) return((double)CUDD_OUT_OF_MEM);
-    paths = paths1 + paths2;
-
-    ppaths = ALLOC(double,1);
-    if (ppaths == NULL) {
-    return((double)CUDD_OUT_OF_MEM);
-    }
-
-    *ppaths = paths;
-
-    if (st_add_direct(table,(char *)N, (char *)ppaths) == ST_OUT_OF_MEM) {
-    FREE(ppaths);
-    return((double)CUDD_OUT_OF_MEM);
-    }
-    return(paths);
-
-} /* end of ddCountPathsToNonZero */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_Support.]
-
-  Description [Performs the recursive step of Cudd_Support. Performs a
-  DFS from f. The support is accumulated in supp as a side effect. Uses
-  the LSB of the then pointer as visited flag.]
-
-  SideEffects [None]
-
-  SeeAlso     [ddClearFlag]
-
-******************************************************************************/
-static void
-ddSupportStep(
-  DdNode * f,
-  int * support)
-{
-    if (cuddIsConstant(f) || Cudd_IsComplement(f->next)) {
-    return;
-    }
-
-    support[f->index] = 1;
-    ddSupportStep(cuddT(f),support);
-    ddSupportStep(Cudd_Regular(cuddE(f)),support);
-    /* Mark as visited. */
-    f->next = Cudd_Not(f->next);
-    return;
-
-} /* end of ddSupportStep */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs a DFS from f, clearing the LSB of the next
-  pointers.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [ddSupportStep ddDagInt]
-
-******************************************************************************/
-static void
-ddClearFlag(
-  DdNode * f)
-{
-    if (!Cudd_IsComplement(f->next)) {
-    return;
-    }
-    /* Clear visited flag. */
-    f->next = Cudd_Regular(f->next);
-    if (cuddIsConstant(f)) {
-    return;
-    }
-    ddClearFlag(cuddT(f));
-    ddClearFlag(Cudd_Regular(cuddE(f)));
-    return;
-
-} /* end of ddClearFlag */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_CountLeaves.]
-
-  Description [Performs the recursive step of Cudd_CountLeaves. Returns
-  the number of leaves in the DD rooted at n.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_CountLeaves]
-
-******************************************************************************/
-static int
-ddLeavesInt(
-  DdNode * n)
-{
-    int tval, eval;
-
-    if (Cudd_IsComplement(n->next)) {
-    return(0);
-    }
-    n->next = Cudd_Not(n->next);
-    if (cuddIsConstant(n)) {
-    return(1);
-    }
-    tval = ddLeavesInt(cuddT(n));
-    eval = ddLeavesInt(Cudd_Regular(cuddE(n)));
-    return(tval + eval);
-
-} /* end of ddLeavesInt */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_bddPickArbitraryMinterms.]
-
-  Description [Performs the recursive step of Cudd_bddPickArbitraryMinterms.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [none]
-
-  SeeAlso [Cudd_bddPickArbitraryMinterms]
-
-******************************************************************************/
-static int
-ddPickArbitraryMinterms(
-  DdManager *dd,
-  DdNode *node,
-  int nvars,
-  int nminterms,
-  char **string)
-{
-    DdNode *N, *T, *E;
-    DdNode *one, *bzero;
-    int    i, t, result;
-    double min1, min2;
-
-    if (string == NULL || node == NULL) return(0);
-
-    /* The constant 0 function has no on-set cubes. */
-    one = DD_ONE(dd);
-    bzero = Cudd_Not(one);
-    if (nminterms == 0 || node == bzero) return(1);
-    if (node == one) {
-    return(1);
-    }
-
-    N = Cudd_Regular(node);
-    T = cuddT(N); E = cuddE(N);
-    if (Cudd_IsComplement(node)) {
-    T = Cudd_Not(T); E = Cudd_Not(E);
-    }
-
-    min1 = Cudd_CountMinterm(dd, T, nvars) / 2.0;
-    if (min1 == (double)CUDD_OUT_OF_MEM) return(0);
-    min2 = Cudd_CountMinterm(dd, E, nvars) / 2.0;
-    if (min2 == (double)CUDD_OUT_OF_MEM) return(0);
-
-    t = (int)((double)nminterms * min1 / (min1 + min2) + 0.5);
-    for (i = 0; i < t; i++)
-    string[i][N->index] = '1';
-    for (i = t; i < nminterms; i++)
-    string[i][N->index] = '0';
-
-    result = ddPickArbitraryMinterms(dd,T,nvars,t,&string[0]);
-    if (result == 0)
-    return(0);
-    result = ddPickArbitraryMinterms(dd,E,nvars,nminterms-t,&string[t]);
-    return(result);
-
-} /* end of ddPickArbitraryMinterms */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds a representative cube of a BDD.]
-
-  Description [Finds a representative cube of a BDD with the weight of
-  each variable. From the top variable, if the weight is greater than or
-  equal to 0.0, choose THEN branch unless the child is the constant 0.
-  Otherwise, choose ELSE branch unless the child is the constant 0.]
-
-  SideEffects [Cudd_SubsetWithMaskVars Cudd_bddPickOneCube]
-
-******************************************************************************/
-static int
-ddPickRepresentativeCube(
-  DdManager *dd,
-  DdNode *node,
-  int nvars,
-  double *weight,
-  char *string)
-{
-    DdNode *N, *T, *E;
-    DdNode *one, *bzero;
-
-    if (string == NULL || node == NULL) return(0);
-
-    /* The constant 0 function has no on-set cubes. */
-    one = DD_ONE(dd);
-    bzero = Cudd_Not(one);
-    if (node == bzero) return(0);
-
-    if (node == DD_ONE(dd)) return(1);
-
-    for (;;) {
-    N = Cudd_Regular(node);
-    if (N == one)
-        break;
-    T = cuddT(N);
-    E = cuddE(N);
-    if (Cudd_IsComplement(node)) {
-        T = Cudd_Not(T);
-        E = Cudd_Not(E);
-    }
-    if (weight[N->index] >= 0.0) {
-        if (T == bzero) {
-        node = E;
-        string[N->index] = '0';
-        } else {
-        node = T;
-        string[N->index] = '1';
-        }
-    } else {
-        if (E == bzero) {
-        node = T;
-        string[N->index] = '1';
-        } else {
-        node = E;
-        string[N->index] = '0';
-        }
-    }
-    }
-    return(1);
-
-} /* end of ddPickRepresentativeCube */
-
-
-/**Function********************************************************************
-
-  Synopsis [Frees the memory used to store the minterm counts recorded
-  in the visited table.]
-
-  Description [Frees the memory used to store the minterm counts
-  recorded in the visited table. Returns ST_CONTINUE.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static enum st_retval
-ddEpdFree(
-  char * key,
-  char * value,
-  char * arg)
-{
-    EpDouble    *epd;
-
-    epd = (EpDouble *) value;
-    EpdFree(epd);
-    return(ST_CONTINUE);
-
-} /* end of ddEpdFree */
diff --git a/src/bdd/cudd/cuddWindow.c b/src/bdd/cudd/cuddWindow.c
deleted file mode 100644
index 9ceb79b2..00000000
--- a/src/bdd/cudd/cuddWindow.c
+++ /dev/null
@@ -1,997 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddWindow.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions for window permutation]
-
-  Description [Internal procedures included in this module:
-        <ul>
-        <li> cuddWindowReorder()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> ddWindow2()
-        <li> ddWindowConv2()
-        <li> ddPermuteWindow3()
-        <li> ddWindow3()
-        <li> ddWindowConv3()
-        <li> ddPermuteWindow4()
-        <li> ddWindow4()
-        <li> ddWindowConv4()
-        </ul>]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddWindow.c,v 1.1.1.1 2003/02/24 22:23:53 wjiang Exp $";
-#endif
-
-#ifdef DD_STATS
-extern  int     ddTotalNumberSwapping;
-extern  int     ddTotalNISwaps;
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int ddWindow2 ARGS((DdManager *table, int low, int high));
-static int ddWindowConv2 ARGS((DdManager *table, int low, int high));
-static int ddPermuteWindow3 ARGS((DdManager *table, int x));
-static int ddWindow3 ARGS((DdManager *table, int low, int high));
-static int ddWindowConv3 ARGS((DdManager *table, int low, int high));
-static int ddPermuteWindow4 ARGS((DdManager *table, int w));
-static int ddWindow4 ARGS((DdManager *table, int low, int high));
-static int ddWindowConv4 ARGS((DdManager *table, int low, int high));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders by applying the method of the sliding window.]
-
-  Description [Reorders by applying the method of the sliding window.
-  Tries all possible permutations to the variables in a window that
-  slides from low to high. The size of the window is determined by
-  submethod.  Assumes that no dead nodes are present.  Returns 1 in
-  case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-int
-cuddWindowReorder(
-  DdManager * table /* DD table */,
-  int low /* lowest index to reorder */,
-  int high /* highest index to reorder */,
-  Cudd_ReorderingType submethod /* window reordering option */)
-{
-
-    int res;
-#ifdef DD_DEBUG
-    int supposedOpt;
-#endif
-
-    switch (submethod) {
-    case CUDD_REORDER_WINDOW2:
-    res = ddWindow2(table,low,high);
-    break;
-    case CUDD_REORDER_WINDOW3:
-    res = ddWindow3(table,low,high);
-    break;
-    case CUDD_REORDER_WINDOW4:
-    res = ddWindow4(table,low,high);
-    break;
-    case CUDD_REORDER_WINDOW2_CONV:
-    res = ddWindowConv2(table,low,high);
-    break;
-    case CUDD_REORDER_WINDOW3_CONV:
-    res = ddWindowConv3(table,low,high);
-#ifdef DD_DEBUG
-    supposedOpt = table->keys - table->isolated;
-    res = ddWindow3(table,low,high);
-    if (table->keys - table->isolated != (unsigned) supposedOpt) {
-        (void) fprintf(table->err, "Convergence failed! (%d != %d)\n",
-               table->keys - table->isolated, supposedOpt);
-    }
-#endif
-    break;
-    case CUDD_REORDER_WINDOW4_CONV:
-    res = ddWindowConv4(table,low,high);
-#ifdef DD_DEBUG
-    supposedOpt = table->keys - table->isolated;
-    res = ddWindow4(table,low,high);
-    if (table->keys - table->isolated != (unsigned) supposedOpt) {
-        (void) fprintf(table->err,"Convergence failed! (%d != %d)\n",
-               table->keys - table->isolated, supposedOpt);
-    }
-#endif
-    break;
-    default: return(0);
-    }
-
-    return(res);
-
-} /* end of cuddWindowReorder */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders by applying a sliding window of width 2.]
-
-  Description [Reorders by applying a sliding window of width 2.
-  Tries both permutations of the variables in a window
-  that slides from low to high.  Assumes that no dead nodes are
-  present.  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddWindow2(
-  DdManager * table,
-  int  low,
-  int  high)
-{
-
-    int x;
-    int res;
-    int size;
-
-#ifdef DD_DEBUG
-    assert(low >= 0 && high < table->size);
-#endif
-
-    if (high-low < 1) return(0);
-
-    res = table->keys - table->isolated;
-    for (x = low; x < high; x++) {
-    size = res;
-    res = cuddSwapInPlace(table,x,x+1);
-    if (res == 0) return(0);
-    if (res >= size) { /* no improvement: undo permutation */
-        res = cuddSwapInPlace(table,x,x+1);
-        if (res == 0) return(0);
-    }
-#ifdef DD_STATS
-    if (res < size) {
-        (void) fprintf(table->out,"-");
-    } else {
-        (void) fprintf(table->out,"=");
-    }
-    fflush(table->out);
-#endif
-    }
-
-    return(1);
-
-} /* end of ddWindow2 */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders by repeatedly applying a sliding window of width 2.]
-
-  Description [Reorders by repeatedly applying a sliding window of width
-  2. Tries both permutations of the variables in a window
-  that slides from low to high.  Assumes that no dead nodes are
-  present.  Uses an event-driven approach to determine convergence.
-  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddWindowConv2(
-  DdManager * table,
-  int  low,
-  int  high)
-{
-    int x;
-    int res;
-    int nwin;
-    int newevent;
-    int *events;
-    int size;
-
-#ifdef DD_DEBUG
-    assert(low >= 0 && high < table->size);
-#endif
-
-    if (high-low < 1) return(ddWindowConv2(table,low,high));
-
-    nwin = high-low;
-    events = ALLOC(int,nwin);
-    if (events == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    for (x=0; x<nwin; x++) {
-    events[x] = 1;
-    }
-
-    res = table->keys - table->isolated;
-    do {
-    newevent = 0;
-    for (x=0; x<nwin; x++) {
-        if (events[x]) {
-        size = res;
-        res = cuddSwapInPlace(table,x+low,x+low+1);
-        if (res == 0) {
-            FREE(events);
-            return(0);
-        }
-        if (res >= size) { /* no improvement: undo permutation */
-            res = cuddSwapInPlace(table,x+low,x+low+1);
-            if (res == 0) {
-            FREE(events);
-            return(0);
-            }
-        }
-        if (res < size) {
-            if (x < nwin-1)    events[x+1] = 1;
-            if (x > 0)        events[x-1] = 1;
-            newevent = 1;
-        }
-        events[x] = 0;
-#ifdef DD_STATS
-        if (res < size) {
-            (void) fprintf(table->out,"-");
-        } else {
-            (void) fprintf(table->out,"=");
-        }
-        fflush(table->out);
-#endif
-        }
-    }
-#ifdef DD_STATS
-    if (newevent) {
-        (void) fprintf(table->out,"|");
-        fflush(table->out);
-    }
-#endif
-    } while (newevent);
-
-    FREE(events);
-
-    return(1);
-
-} /* end of ddWindowConv3 */
-
-
-/**Function********************************************************************
-
-  Synopsis [Tries all the permutations of the three variables between
-  x and x+2 and retains the best.]
-
-  Description [Tries all the permutations of the three variables between
-  x and x+2 and retains the best. Assumes that no dead nodes are
-  present.  Returns the index of the best permutation (1-6) in case of
-  success; 0 otherwise.Assumes that no dead nodes are present.  Returns
-  the index of the best permutation (1-6) in case of success; 0
-  otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddPermuteWindow3(
-  DdManager * table,
-  int  x)
-{
-    int y,z;
-    int    size,sizeNew;
-    int    best;
-
-#ifdef DD_DEBUG
-    assert(table->dead == 0);
-    assert(x+2 < table->size);
-#endif
-
-    size = table->keys - table->isolated;
-    y = x+1; z = y+1;
-    
-    /* The permutation pattern is:
-    ** (x,y)(y,z)
-    ** repeated three times to get all 3! = 6 permutations.
-    */
-#define ABC 1
-    best = ABC;
-
-#define    BAC 2
-    sizeNew = cuddSwapInPlace(table,x,y);
-    if (sizeNew < size) {
-    if (sizeNew == 0) return(0);
-    best = BAC;
-    size = sizeNew;
-    }
-#define BCA 3
-    sizeNew = cuddSwapInPlace(table,y,z);
-    if (sizeNew < size) {
-    if (sizeNew == 0) return(0);
-    best = BCA;
-    size = sizeNew;
-    }
-#define CBA 4
-    sizeNew = cuddSwapInPlace(table,x,y);
-    if (sizeNew < size) {
-    if (sizeNew == 0) return(0);
-    best = CBA;
-    size = sizeNew;
-    }
-#define CAB 5
-    sizeNew = cuddSwapInPlace(table,y,z);
-    if (sizeNew < size) {
-    if (sizeNew == 0) return(0);
-    best = CAB;
-    size = sizeNew;
-    }
-#define ACB 6
-    sizeNew = cuddSwapInPlace(table,x,y);
-    if (sizeNew < size) {
-    if (sizeNew == 0) return(0);
-    best = ACB;
-    size = sizeNew;
-    }
-
-    /* Now take the shortest route to the best permuytation.
-    ** The initial permutation is ACB.
-    */
-    switch(best) {
-    case BCA: if (!cuddSwapInPlace(table,y,z)) return(0);
-    case CBA: if (!cuddSwapInPlace(table,x,y)) return(0);
-    case ABC: if (!cuddSwapInPlace(table,y,z)) return(0);
-    case ACB: break;
-    case BAC: if (!cuddSwapInPlace(table,y,z)) return(0);
-    case CAB: if (!cuddSwapInPlace(table,x,y)) return(0);
-           break;
-    default: return(0);
-    }
-
-#ifdef DD_DEBUG
-    assert(table->keys - table->isolated == (unsigned) size);
-#endif
-
-    return(best);
-
-} /* end of ddPermuteWindow3 */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders by applying a sliding window of width 3.]
-
-  Description [Reorders by applying a sliding window of width 3.
-  Tries all possible permutations to the variables in a
-  window that slides from low to high.  Assumes that no dead nodes are
-  present.  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddWindow3(
-  DdManager * table,
-  int  low,
-  int  high)
-{
-
-    int x;
-    int res;
-
-#ifdef DD_DEBUG
-    assert(low >= 0 && high < table->size);
-#endif
-
-    if (high-low < 2) return(ddWindow2(table,low,high));
-
-    for (x = low; x+1 < high; x++) {
-    res = ddPermuteWindow3(table,x);
-    if (res == 0) return(0);
-#ifdef DD_STATS
-    if (res == ABC) {
-        (void) fprintf(table->out,"=");
-    } else {
-        (void) fprintf(table->out,"-");
-    }
-    fflush(table->out);
-#endif
-    }
-
-    return(1);
-
-} /* end of ddWindow3 */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders by repeatedly applying a sliding window of width 3.]
-
-  Description [Reorders by repeatedly applying a sliding window of width
-  3. Tries all possible permutations to the variables in a
-  window that slides from low to high.  Assumes that no dead nodes are
-  present.  Uses an event-driven approach to determine convergence.
-  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddWindowConv3(
-  DdManager * table,
-  int  low,
-  int  high)
-{
-    int x;
-    int res;
-    int nwin;
-    int newevent;
-    int *events;
-
-#ifdef DD_DEBUG
-    assert(low >= 0 && high < table->size);
-#endif
-
-    if (high-low < 2) return(ddWindowConv2(table,low,high));
-
-    nwin = high-low-1;
-    events = ALLOC(int,nwin);
-    if (events == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    for (x=0; x<nwin; x++) {
-    events[x] = 1;
-    }
-
-    do {
-    newevent = 0;
-    for (x=0; x<nwin; x++) {
-        if (events[x]) {
-        res = ddPermuteWindow3(table,x+low);
-        switch (res) {
-        case ABC:
-            break;
-        case BAC:
-            if (x < nwin-1)    events[x+1] = 1;
-            if (x > 1)        events[x-2] = 1;
-            newevent = 1;
-            break;
-        case BCA:
-        case CBA:
-        case CAB:
-            if (x < nwin-2)    events[x+2] = 1;
-            if (x < nwin-1)    events[x+1] = 1;
-            if (x > 0)        events[x-1] = 1;
-            if (x > 1)        events[x-2] = 1;
-            newevent = 1;
-            break;
-        case ACB:
-            if (x < nwin-2)    events[x+2] = 1;
-            if (x > 0)        events[x-1] = 1;
-            newevent = 1;
-            break;
-        default:
-            FREE(events);
-            return(0);
-        }
-        events[x] = 0;
-#ifdef DD_STATS
-        if (res == ABC) {
-            (void) fprintf(table->out,"=");
-        } else {
-            (void) fprintf(table->out,"-");
-        }
-        fflush(table->out);
-#endif
-        }
-    }
-#ifdef DD_STATS
-    if (newevent) {
-        (void) fprintf(table->out,"|");
-        fflush(table->out);
-    }
-#endif
-    } while (newevent);
-
-    FREE(events);
-
-    return(1);
-
-} /* end of ddWindowConv3 */
-
-
-/**Function********************************************************************
-
-  Synopsis [Tries all the permutations of the four variables between w
-  and w+3 and retains the best.]
-
-  Description [Tries all the permutations of the four variables between
-  w and w+3 and retains the best. Assumes that no dead nodes are
-  present.  Returns the index of the best permutation (1-24) in case of
-  success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddPermuteWindow4(
-  DdManager * table,
-  int  w)
-{
-    int x,y,z;
-    int    size,sizeNew;
-    int    best;
-
-#ifdef DD_DEBUG
-    assert(table->dead == 0);
-    assert(w+3 < table->size);
-#endif
-
-    size = table->keys - table->isolated;
-    x = w+1; y = x+1; z = y+1;
-    
-    /* The permutation pattern is:
-     * (w,x)(y,z)(w,x)(x,y)
-     * (y,z)(w,x)(y,z)(x,y)
-     * repeated three times to get all 4! = 24 permutations.
-     * This gives a hamiltonian circuit of Cayley's graph.
-     * The codes to the permutation are assigned in topological order.
-     * The permutations at lower distance from the final permutation are
-     * assigned lower codes. This way we can choose, between
-     * permutations that give the same size, one that requires the minimum
-     * number of swaps from the final permutation of the hamiltonian circuit.
-     * There is an exception to this rule: ABCD is given Code 1, to
-     * avoid oscillation when convergence is sought.
-     */
-#define ABCD 1
-    best = ABCD;
-
-#define    BACD 7
-    sizeNew = cuddSwapInPlace(table,w,x);
-    if (sizeNew < size) {
-    if (sizeNew == 0) return(0);
-    best = BACD;
-    size = sizeNew;
-    }
-#define BADC 13
-    sizeNew = cuddSwapInPlace(table,y,z);
-    if (sizeNew < size) {
-    if (sizeNew == 0) return(0);
-    best = BADC;
-    size = sizeNew;
-    }
-#define ABDC 8
-    sizeNew = cuddSwapInPlace(table,w,x);
-    if (sizeNew < size || (sizeNew == size && ABDC < best)) {
-    if (sizeNew == 0) return(0);
-    best = ABDC;
-    size = sizeNew;
-    }
-#define ADBC 14
-    sizeNew = cuddSwapInPlace(table,x,y);
-    if (sizeNew < size) {
-    if (sizeNew == 0) return(0);
-    best = ADBC;
-    size = sizeNew;
-    }
-#define ADCB 9
-    sizeNew = cuddSwapInPlace(table,y,z);
-    if (sizeNew < size || (sizeNew == size && ADCB < best)) {
-    if (sizeNew == 0) return(0);
-    best = ADCB;
-    size = sizeNew;
-    }
-#define DACB 15
-    sizeNew = cuddSwapInPlace(table,w,x);
-    if (sizeNew < size) {
-    if (sizeNew == 0) return(0);
-    best = DACB;
-    size = sizeNew;
-    }
-#define DABC 20
-    sizeNew = cuddSwapInPlace(table,y,z);
-    if (sizeNew < size) {
-    if (sizeNew == 0) return(0);
-    best = DABC;
-    size = sizeNew;
-    }
-#define DBAC 23
-    sizeNew = cuddSwapInPlace(table,x,y);
-    if (sizeNew < size) {
-    if (sizeNew == 0) return(0);
-    best = DBAC;
-    size = sizeNew;
-    }
-#define BDAC 19
-    sizeNew = cuddSwapInPlace(table,w,x);
-    if (sizeNew < size || (sizeNew == size && BDAC < best)) {
-    if (sizeNew == 0) return(0);
-    best = BDAC;
-    size = sizeNew;
-    }
-#define BDCA 21
-    sizeNew = cuddSwapInPlace(table,y,z);
-    if (sizeNew < size || (sizeNew == size && BDCA < best)) {
-    if (sizeNew == 0) return(0);
-    best = BDCA;
-    size = sizeNew;
-    }
-#define DBCA 24
-    sizeNew = cuddSwapInPlace(table,w,x);
-    if (sizeNew < size) {
-    if (sizeNew == 0) return(0);
-    best = DBCA;
-    size = sizeNew;
-    }
-#define DCBA 22
-    sizeNew = cuddSwapInPlace(table,x,y);
-    if (sizeNew < size || (sizeNew == size && DCBA < best)) {
-    if (sizeNew == 0) return(0);
-    best = DCBA;
-    size = sizeNew;
-    }
-#define DCAB 18
-    sizeNew = cuddSwapInPlace(table,y,z);
-    if (sizeNew < size || (sizeNew == size && DCAB < best)) {
-    if (sizeNew == 0) return(0);
-    best = DCAB;
-    size = sizeNew;
-    }
-#define CDAB 12
-    sizeNew = cuddSwapInPlace(table,w,x);
-    if (sizeNew < size || (sizeNew == size && CDAB < best)) {
-    if (sizeNew == 0) return(0);
-    best = CDAB;
-    size = sizeNew;
-    }
-#define CDBA 17
-    sizeNew = cuddSwapInPlace(table,y,z);
-    if (sizeNew < size || (sizeNew == size && CDBA < best)) {
-    if (sizeNew == 0) return(0);
-    best = CDBA;
-    size = sizeNew;
-    }
-#define CBDA 11
-    sizeNew = cuddSwapInPlace(table,x,y);
-    if (sizeNew < size || (sizeNew == size && CBDA < best)) {
-    if (sizeNew == 0) return(0);
-    best = CBDA;
-    size = sizeNew;
-    }
-#define BCDA 16
-    sizeNew = cuddSwapInPlace(table,w,x);
-    if (sizeNew < size || (sizeNew == size && BCDA < best)) {
-    if (sizeNew == 0) return(0);
-    best = BCDA;
-    size = sizeNew;
-    }
-#define BCAD 10
-    sizeNew = cuddSwapInPlace(table,y,z);
-    if (sizeNew < size || (sizeNew == size && BCAD < best)) {
-    if (sizeNew == 0) return(0);
-    best = BCAD;
-    size = sizeNew;
-    }
-#define CBAD 5
-    sizeNew = cuddSwapInPlace(table,w,x);
-    if (sizeNew < size || (sizeNew == size && CBAD < best)) {
-    if (sizeNew == 0) return(0);
-    best = CBAD;
-    size = sizeNew;
-    }
-#define CABD 3
-    sizeNew = cuddSwapInPlace(table,x,y);
-    if (sizeNew < size || (sizeNew == size && CABD < best)) {
-    if (sizeNew == 0) return(0);
-    best = CABD;
-    size = sizeNew;
-    }
-#define CADB 6
-    sizeNew = cuddSwapInPlace(table,y,z);
-    if (sizeNew < size || (sizeNew == size && CADB < best)) {
-    if (sizeNew == 0) return(0);
-    best = CADB;
-    size = sizeNew;
-    }
-#define ACDB 4
-    sizeNew = cuddSwapInPlace(table,w,x);
-    if (sizeNew < size || (sizeNew == size && ACDB < best)) {
-    if (sizeNew == 0) return(0);
-    best = ACDB;
-    size = sizeNew;
-    }
-#define ACBD 2
-    sizeNew = cuddSwapInPlace(table,y,z);
-    if (sizeNew < size || (sizeNew == size && ACBD < best)) {
-    if (sizeNew == 0) return(0);
-    best = ACBD;
-    size = sizeNew;
-    }
-
-    /* Now take the shortest route to the best permutation.
-    ** The initial permutation is ACBD.
-    */
-    switch(best) {
-    case DBCA: if (!cuddSwapInPlace(table,y,z)) return(0);
-    case BDCA: if (!cuddSwapInPlace(table,x,y)) return(0);
-    case CDBA: if (!cuddSwapInPlace(table,w,x)) return(0);
-    case ADBC: if (!cuddSwapInPlace(table,y,z)) return(0);
-    case ABDC: if (!cuddSwapInPlace(table,x,y)) return(0);
-    case ACDB: if (!cuddSwapInPlace(table,y,z)) return(0);
-    case ACBD: break;
-    case DCBA: if (!cuddSwapInPlace(table,y,z)) return(0);
-    case BCDA: if (!cuddSwapInPlace(table,x,y)) return(0);
-    case CBDA: if (!cuddSwapInPlace(table,w,x)) return(0);
-           if (!cuddSwapInPlace(table,x,y)) return(0);
-           if (!cuddSwapInPlace(table,y,z)) return(0);
-           break;
-    case DBAC: if (!cuddSwapInPlace(table,x,y)) return(0);
-    case DCAB: if (!cuddSwapInPlace(table,w,x)) return(0);
-    case DACB: if (!cuddSwapInPlace(table,y,z)) return(0);
-    case BACD: if (!cuddSwapInPlace(table,x,y)) return(0);
-    case CABD: if (!cuddSwapInPlace(table,w,x)) return(0);
-           break;
-    case DABC: if (!cuddSwapInPlace(table,y,z)) return(0);
-    case BADC: if (!cuddSwapInPlace(table,x,y)) return(0);
-    case CADB: if (!cuddSwapInPlace(table,w,x)) return(0);
-           if (!cuddSwapInPlace(table,y,z)) return(0);
-           break;
-    case BDAC: if (!cuddSwapInPlace(table,x,y)) return(0);
-    case CDAB: if (!cuddSwapInPlace(table,w,x)) return(0);
-    case ADCB: if (!cuddSwapInPlace(table,y,z)) return(0);
-    case ABCD: if (!cuddSwapInPlace(table,x,y)) return(0);
-           break;
-    case BCAD: if (!cuddSwapInPlace(table,x,y)) return(0);
-    case CBAD: if (!cuddSwapInPlace(table,w,x)) return(0);
-           if (!cuddSwapInPlace(table,x,y)) return(0);
-           break;
-    default: return(0);
-    }
-
-#ifdef DD_DEBUG
-    assert(table->keys - table->isolated == (unsigned) size);
-#endif
-
-    return(best);
-
-} /* end of ddPermuteWindow4 */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders by applying a sliding window of width 4.]
-
-  Description [Reorders by applying a sliding window of width 4.
-  Tries all possible permutations to the variables in a
-  window that slides from low to high.  Assumes that no dead nodes are
-  present.  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddWindow4(
-  DdManager * table,
-  int  low,
-  int  high)
-{
-
-    int w;
-    int res;
-
-#ifdef DD_DEBUG
-    assert(low >= 0 && high < table->size);
-#endif
-
-    if (high-low < 3) return(ddWindow3(table,low,high));
-
-    for (w = low; w+2 < high; w++) {
-    res = ddPermuteWindow4(table,w);
-    if (res == 0) return(0);
-#ifdef DD_STATS
-    if (res == ABCD) {
-        (void) fprintf(table->out,"=");
-    } else {
-        (void) fprintf(table->out,"-");
-    }
-    fflush(table->out);
-#endif
-    }
-
-    return(1);
-
-} /* end of ddWindow4 */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders by repeatedly applying a sliding window of width 4.]
-
-  Description [Reorders by repeatedly applying a sliding window of width
-  4. Tries all possible permutations to the variables in a
-  window that slides from low to high.  Assumes that no dead nodes are
-  present.  Uses an event-driven approach to determine convergence.
-  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-ddWindowConv4(
-  DdManager * table,
-  int  low,
-  int  high)
-{
-    int x;
-    int res;
-    int nwin;
-    int newevent;
-    int *events;
-
-#ifdef DD_DEBUG
-    assert(low >= 0 && high < table->size);
-#endif
-
-    if (high-low < 3) return(ddWindowConv3(table,low,high));
-
-    nwin = high-low-2;
-    events = ALLOC(int,nwin);
-    if (events == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    for (x=0; x<nwin; x++) {
-    events[x] = 1;
-    }
-
-    do {
-    newevent = 0;
-    for (x=0; x<nwin; x++) {
-        if (events[x]) {
-        res = ddPermuteWindow4(table,x+low);
-        switch (res) {
-        case ABCD:
-            break;
-        case BACD:
-            if (x < nwin-1)    events[x+1] = 1;
-            if (x > 2)        events[x-3] = 1;
-            newevent = 1;
-            break;
-        case BADC:
-            if (x < nwin-3)    events[x+3] = 1;
-            if (x < nwin-1)    events[x+1] = 1;
-            if (x > 0)        events[x-1] = 1;
-            if (x > 2)        events[x-3] = 1;
-            newevent = 1;
-            break;
-        case ABDC:
-            if (x < nwin-3)    events[x+3] = 1;
-            if (x > 0)        events[x-1] = 1;
-            newevent = 1;
-            break;
-        case ADBC:
-        case ADCB:
-        case ACDB:
-            if (x < nwin-3)    events[x+3] = 1;
-            if (x < nwin-2)    events[x+2] = 1;
-            if (x > 0)        events[x-1] = 1;
-            if (x > 1)        events[x-2] = 1;
-            newevent = 1;
-            break;
-        case DACB:
-        case DABC:
-        case DBAC:
-        case BDAC:
-        case BDCA:
-        case DBCA:
-        case DCBA:
-        case DCAB:
-        case CDAB:
-        case CDBA:
-        case CBDA:
-        case BCDA:
-        case CADB:
-            if (x < nwin-3)    events[x+3] = 1;
-            if (x < nwin-2)    events[x+2] = 1;
-            if (x < nwin-1)    events[x+1] = 1;
-            if (x > 0)        events[x-1] = 1;
-            if (x > 1)        events[x-2] = 1;
-            if (x > 2)        events[x-3] = 1;
-            newevent = 1;
-            break;
-        case BCAD:
-        case CBAD:
-        case CABD:
-            if (x < nwin-2)    events[x+2] = 1;
-            if (x < nwin-1)    events[x+1] = 1;
-            if (x > 1)        events[x-2] = 1;
-            if (x > 2)        events[x-3] = 1;
-            newevent = 1;
-            break;
-        case ACBD:
-            if (x < nwin-2)    events[x+2] = 1;
-            if (x > 1)        events[x-2] = 1;
-            newevent = 1;
-            break;
-        default:
-            FREE(events);
-            return(0);
-        }
-        events[x] = 0;
-#ifdef DD_STATS
-        if (res == ABCD) {
-            (void) fprintf(table->out,"=");
-        } else {
-            (void) fprintf(table->out,"-");
-        }
-        fflush(table->out);
-#endif
-        }
-    }
-#ifdef DD_STATS
-    if (newevent) {
-        (void) fprintf(table->out,"|");
-        fflush(table->out);
-    }
-#endif
-    } while (newevent);
-
-    FREE(events);
-
-    return(1);
-
-} /* end of ddWindowConv4 */
-
diff --git a/src/bdd/cudd/cuddZddCount.c b/src/bdd/cudd/cuddZddCount.c
deleted file mode 100644
index 6c6ec1df..00000000
--- a/src/bdd/cudd/cuddZddCount.c
+++ /dev/null
@@ -1,324 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddZddCount.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Procedures to count the number of minterms of a ZDD.]
-
-  Description [External procedures included in this module:
-            <ul>
-            <li> Cudd_zddCount();
-            <li> Cudd_zddCountDouble();
-            </ul>
-           Internal procedures included in this module:
-            <ul>
-            </ul>
-           Static procedures included in this module:
-            <ul>
-                   <li> cuddZddCountStep();
-            <li> cuddZddCountDoubleStep();
-            <li> st_zdd_count_dbl_free()
-            <li> st_zdd_countfree()
-            </ul>
-          ]
-
-  SeeAlso     []
-
-  Author      [Hyong-Kyoon Shin, In-Ho Moon]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddZddCount.c,v 1.1.1.1 2003/02/24 22:23:53 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int cuddZddCountStep ARGS((DdNode *P, st_table *table, DdNode *base, DdNode *empty));
-static double cuddZddCountDoubleStep ARGS((DdNode *P, st_table *table, DdNode *base, DdNode *empty));
-static enum st_retval st_zdd_countfree ARGS((char *key, char *value, char *arg));
-static enum st_retval st_zdd_count_dbl_free ARGS((char *key, char *value, char *arg));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Counts the number of minterms in a ZDD.]
-
-  Description [Returns an integer representing the number of minterms
-  in a ZDD.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddCountDouble]
-
-******************************************************************************/
-int
-Cudd_zddCount(
-  DdManager * zdd,
-  DdNode * P)
-{
-    st_table    *table;
-    int        res;
-    DdNode    *base, *empty;
-
-    base  = DD_ONE(zdd);
-    empty = DD_ZERO(zdd);
-    table = st_init_table(st_ptrcmp, st_ptrhash);
-    if (table == NULL) return(CUDD_OUT_OF_MEM);
-    res = cuddZddCountStep(P, table, base, empty);
-    if (res == CUDD_OUT_OF_MEM) {
-    zdd->errorCode = CUDD_MEMORY_OUT;
-    }
-    st_foreach(table, st_zdd_countfree, NIL(char));
-    st_free_table(table);
-
-    return(res);
-
-} /* end of Cudd_zddCount */
-
-
-/**Function********************************************************************
-
-  Synopsis [Counts the number of minterms of a ZDD.]
-
-  Description [Counts the number of minterms of a ZDD. The result is
-  returned as a double. If the procedure runs out of memory, it
-  returns (double) CUDD_OUT_OF_MEM. This procedure is used in
-  Cudd_zddCountMinterm.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddCountMinterm Cudd_zddCount]
-
-******************************************************************************/
-double
-Cudd_zddCountDouble(
-  DdManager * zdd,
-  DdNode * P)
-{
-    st_table    *table;
-    double    res;
-    DdNode    *base, *empty;
-
-    base  = DD_ONE(zdd);
-    empty = DD_ZERO(zdd);
-    table = st_init_table(st_ptrcmp, st_ptrhash);
-    if (table == NULL) return((double)CUDD_OUT_OF_MEM);
-    res = cuddZddCountDoubleStep(P, table, base, empty);
-    if (res == (double)CUDD_OUT_OF_MEM) {
-    zdd->errorCode = CUDD_MEMORY_OUT;
-    }
-    st_foreach(table, st_zdd_count_dbl_free, NIL(char));
-    st_free_table(table);
-
-    return(res);
-
-} /* end of Cudd_zddCountDouble */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Performs the recursive step of Cudd_zddCount.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-cuddZddCountStep(
-  DdNode * P,
-  st_table * table,
-  DdNode * base,
-  DdNode * empty)
-{
-    int        res;
-    int        *dummy;
-
-    if (P == empty)
-    return(0);
-    if (P == base)
-    return(1);
-
-    /* Check cache. */
-    if (st_lookup(table, (char *)P, (char **)(&dummy))) {
-    res = *dummy;
-    return(res);
-    }
-
-    res = cuddZddCountStep(cuddE(P), table, base, empty) +
-    cuddZddCountStep(cuddT(P), table, base, empty);
-
-    dummy = ALLOC(int, 1);
-    if (dummy == NULL) {
-    return(CUDD_OUT_OF_MEM);
-    }
-    *dummy = res;
-    if (st_insert(table, (char *)P, (char *)dummy) == ST_OUT_OF_MEM) {
-    FREE(dummy);
-    return(CUDD_OUT_OF_MEM);
-    }
-
-    return(res);
-
-} /* end of cuddZddCountStep */
-
-
-/**Function********************************************************************
-
-  Synopsis [Performs the recursive step of Cudd_zddCountDouble.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static double
-cuddZddCountDoubleStep(
-  DdNode * P,
-  st_table * table,
-  DdNode * base,
-  DdNode * empty)
-{
-    double    res;
-    double    *dummy;
-
-    if (P == empty)
-    return((double)0.0);
-    if (P == base)
-    return((double)1.0);
-
-    /* Check cache */
-    if (st_lookup(table, (char *)P, (char **)(&dummy))) {
-    res = *dummy;
-    return(res);
-    }
-
-    res = cuddZddCountDoubleStep(cuddE(P), table, base, empty) +
-    cuddZddCountDoubleStep(cuddT(P), table, base, empty);
-
-    dummy = ALLOC(double, 1);
-    if (dummy == NULL) {
-    return((double)CUDD_OUT_OF_MEM);
-    }
-    *dummy = res;
-    if (st_insert(table, (char *)P, (char *)dummy) == ST_OUT_OF_MEM) {
-    FREE(dummy);
-    return((double)CUDD_OUT_OF_MEM);
-    }
-
-    return(res);
-
-} /* end of cuddZddCountDoubleStep */
-
-
-/**Function********************************************************************
-
-  Synopsis [Frees the memory associated with the computed table of
-  Cudd_zddCount.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static enum st_retval
-st_zdd_countfree(
-  char * key,
-  char * value,
-  char * arg)
-{
-    int    *d;
-
-    d = (int *)value;
-    FREE(d);
-    return(ST_CONTINUE);
-
-} /* end of st_zdd_countfree */
-
-
-/**Function********************************************************************
-
-  Synopsis [Frees the memory associated with the computed table of
-  Cudd_zddCountDouble.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static enum st_retval
-st_zdd_count_dbl_free(
-  char * key,
-  char * value,
-  char * arg)
-{
-    double    *d;
-
-    d = (double *)value;
-    FREE(d);
-    return(ST_CONTINUE);
-
-} /* end of st_zdd_count_dbl_free */
diff --git a/src/bdd/cudd/cuddZddFuncs.c b/src/bdd/cudd/cuddZddFuncs.c
deleted file mode 100644
index 9dc27a95..00000000
--- a/src/bdd/cudd/cuddZddFuncs.c
+++ /dev/null
@@ -1,1603 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddZddFuncs.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions to manipulate covers represented as ZDDs.]
-
-  Description [External procedures included in this module:
-            <ul>
-            <li> Cudd_zddProduct();
-            <li> Cudd_zddUnateProduct();
-            <li> Cudd_zddWeakDiv();
-            <li> Cudd_zddWeakDivF();
-            <li> Cudd_zddDivide();
-            <li> Cudd_zddDivideF();
-            <li> Cudd_zddComplement();
-            </ul>
-           Internal procedures included in this module:
-            <ul>
-            <li> cuddZddProduct();
-            <li> cuddZddUnateProduct();
-            <li> cuddZddWeakDiv();
-            <li> cuddZddWeakDivF();
-            <li> cuddZddDivide();
-            <li> cuddZddDivideF();
-            <li> cuddZddGetCofactors3()
-            <li> cuddZddGetCofactors2()
-            <li> cuddZddComplement();
-            <li> cuddZddGetPosVarIndex();
-            <li> cuddZddGetNegVarIndex();
-            <li> cuddZddGetPosVarLevel();
-            <li> cuddZddGetNegVarLevel();
-            </ul>
-           Static procedures included in this module:
-            <ul>
-            </ul>
-          ]
-
-  SeeAlso     []
-
-  Author      [In-Ho Moon]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddZddFuncs.c,v 1.1.1.1 2003/02/24 22:23:53 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the product of two covers represented by ZDDs.]
-
-  Description [Computes the product of two covers represented by
-  ZDDs. The result is also a ZDD. Returns a pointer to the result if
-  successful; NULL otherwise.  The covers on which Cudd_zddProduct
-  operates use two ZDD variables for each function variable (one ZDD
-  variable for each literal of the variable). Those two ZDD variables
-  should be adjacent in the order.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddUnateProduct]
-
-******************************************************************************/
-DdNode    *
-Cudd_zddProduct(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode    *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddZddProduct(dd, f, g);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_zddProduct */
-
-
-/**Function********************************************************************
-
-  Synopsis [Computes the product of two unate covers.]
-
-  Description [Computes the product of two unate covers represented as
-  ZDDs. Unate covers use one ZDD variable for each BDD
-  variable. Returns a pointer to the result if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddProduct]
-
-******************************************************************************/
-DdNode    *
-Cudd_zddUnateProduct(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode    *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddZddUnateProduct(dd, f, g);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_zddUnateProduct */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Applies weak division to two covers.]
-
-  Description [Applies weak division to two ZDDs representing two
-  covers. Returns a pointer to the ZDD representing the result if
-  successful; NULL otherwise. The result of weak division depends on
-  the variable order. The covers on which Cudd_zddWeakDiv operates use
-  two ZDD variables for each function variable (one ZDD variable for
-  each literal of the variable). Those two ZDD variables should be
-  adjacent in the order.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddDivide]
-
-******************************************************************************/
-DdNode    *
-Cudd_zddWeakDiv(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode    *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddZddWeakDiv(dd, f, g);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_zddWeakDiv */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the quotient of two unate covers.]
-
-  Description [Computes the quotient of two unate covers represented
-  by ZDDs.  Unate covers use one ZDD variable for each BDD
-  variable. Returns a pointer to the resulting ZDD if successful; NULL
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddWeakDiv]
-
-******************************************************************************/
-DdNode    *
-Cudd_zddDivide(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode    *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddZddDivide(dd, f, g);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_zddDivide */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Modified version of Cudd_zddWeakDiv.]
-
-  Description [Modified version of Cudd_zddWeakDiv. This function may
-  disappear in future releases.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddWeakDiv]
-
-******************************************************************************/
-DdNode    *
-Cudd_zddWeakDivF(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode    *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddZddWeakDivF(dd, f, g);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_zddWeakDivF */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Modified version of Cudd_zddDivide.]
-
-  Description [Modified version of Cudd_zddDivide. This function may
-  disappear in future releases.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode    *
-Cudd_zddDivideF(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    DdNode    *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddZddDivideF(dd, f, g);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_zddDivideF */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes a complement cover for a ZDD node.]
-
-  Description [Computes a complement cover for a ZDD node. For lack of a
-  better method, we first extract the function BDD from the ZDD cover,
-  then make the complement of the ZDD cover from the complement of the
-  BDD node by using ISOP. Returns a pointer to the resulting cover if
-  successful; NULL otherwise. The result depends on current variable
-  order.]
-
-  SideEffects [The result depends on current variable order.]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode    *
-Cudd_zddComplement(
-  DdManager *dd,
-  DdNode *node)
-{
-    DdNode    *b, *isop, *zdd_I;
-
-    /* Check cache */
-    zdd_I = cuddCacheLookup1Zdd(dd, cuddZddComplement, node);
-    if (zdd_I)
-    return(zdd_I);
-
-    b = Cudd_MakeBddFromZddCover(dd, node);
-    if (!b)
-    return(NULL);
-    Cudd_Ref(b);
-    isop = Cudd_zddIsop(dd, Cudd_Not(b), Cudd_Not(b), &zdd_I);
-    if (!isop) {
-    Cudd_RecursiveDeref(dd, b);
-    return(NULL);
-    }
-    Cudd_Ref(isop);
-    Cudd_Ref(zdd_I);
-    Cudd_RecursiveDeref(dd, b);
-    Cudd_RecursiveDeref(dd, isop);
-
-    cuddCacheInsert1(dd, cuddZddComplement, node, zdd_I);
-    Cudd_Deref(zdd_I);
-    return(zdd_I);
-} /* end of Cudd_zddComplement */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Performs the recursive step of Cudd_zddProduct.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddProduct]
-
-******************************************************************************/
-DdNode    *
-cuddZddProduct(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    int        v, top_f, top_g;
-    DdNode    *tmp, *term1, *term2, *term3;
-    DdNode    *f0, *f1, *fd, *g0, *g1, *gd;
-    DdNode    *R0, *R1, *Rd, *N0, *N1;
-    DdNode    *r;
-    DdNode    *one = DD_ONE(dd);
-    DdNode    *zero = DD_ZERO(dd);
-    int        flag;
-    int        pv, nv;
-
-    statLine(dd);
-    if (f == zero || g == zero)
-        return(zero);
-    if (f == one)
-        return(g);
-    if (g == one)
-        return(f);
-
-    top_f = dd->permZ[f->index];
-    top_g = dd->permZ[g->index];
-
-    if (top_f > top_g)
-    return(cuddZddProduct(dd, g, f));
-
-    /* Check cache */
-    r = cuddCacheLookup2Zdd(dd, cuddZddProduct, f, g);
-    if (r)
-    return(r);
-
-    v = f->index;    /* either yi or zi */
-    flag = cuddZddGetCofactors3(dd, f, v, &f1, &f0, &fd);
-    if (flag == 1)
-    return(NULL);
-    Cudd_Ref(f1);
-    Cudd_Ref(f0);
-    Cudd_Ref(fd);
-    flag = cuddZddGetCofactors3(dd, g, v, &g1, &g0, &gd);
-    if (flag == 1) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    return(NULL);
-    }
-    Cudd_Ref(g1);
-    Cudd_Ref(g0);
-    Cudd_Ref(gd);
-    pv = cuddZddGetPosVarIndex(dd, v);
-    nv = cuddZddGetNegVarIndex(dd, v);
-
-    Rd = cuddZddProduct(dd, fd, gd);
-    if (Rd == NULL) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, g0);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    return(NULL);
-    }
-    Cudd_Ref(Rd);
-
-    term1 = cuddZddProduct(dd, f0, g0);
-    if (term1 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, g0);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    Cudd_RecursiveDerefZdd(dd, Rd);
-    return(NULL);
-    }
-    Cudd_Ref(term1);
-    term2 = cuddZddProduct(dd, f0, gd);
-    if (term2 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, g0);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    Cudd_RecursiveDerefZdd(dd, Rd);
-    Cudd_RecursiveDerefZdd(dd, term1);
-    return(NULL);
-    }
-    Cudd_Ref(term2);
-    term3 = cuddZddProduct(dd, fd, g0);
-    if (term3 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, g0);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    Cudd_RecursiveDerefZdd(dd, Rd);
-    Cudd_RecursiveDerefZdd(dd, term1);
-    Cudd_RecursiveDerefZdd(dd, term2);
-    return(NULL);
-    }
-    Cudd_Ref(term3);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, g0);
-    tmp = cuddZddUnion(dd, term1, term2);
-    if (tmp == NULL) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    Cudd_RecursiveDerefZdd(dd, Rd);
-    Cudd_RecursiveDerefZdd(dd, term1);
-    Cudd_RecursiveDerefZdd(dd, term2);
-    Cudd_RecursiveDerefZdd(dd, term3);
-    return(NULL);
-    }
-    Cudd_Ref(tmp);
-    Cudd_RecursiveDerefZdd(dd, term1);
-    Cudd_RecursiveDerefZdd(dd, term2);
-    R0 = cuddZddUnion(dd, tmp, term3);
-    if (R0 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    Cudd_RecursiveDerefZdd(dd, Rd);
-    Cudd_RecursiveDerefZdd(dd, term3);
-    Cudd_RecursiveDerefZdd(dd, tmp);
-    return(NULL);
-    }
-    Cudd_Ref(R0);
-    Cudd_RecursiveDerefZdd(dd, tmp);
-    Cudd_RecursiveDerefZdd(dd, term3);
-    N0 = cuddZddGetNode(dd, nv, R0, Rd); /* nv = zi */
-    if (N0 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    Cudd_RecursiveDerefZdd(dd, Rd);
-    Cudd_RecursiveDerefZdd(dd, R0);
-    return(NULL);
-    }
-    Cudd_Ref(N0);
-    Cudd_RecursiveDerefZdd(dd, R0);
-    Cudd_RecursiveDerefZdd(dd, Rd);
-
-    term1 = cuddZddProduct(dd, f1, g1);
-    if (term1 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    Cudd_RecursiveDerefZdd(dd, N0);
-    return(NULL);
-    }
-    Cudd_Ref(term1);
-    term2 = cuddZddProduct(dd, f1, gd);
-    if (term2 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    Cudd_RecursiveDerefZdd(dd, N0);
-    Cudd_RecursiveDerefZdd(dd, term1);
-    return(NULL);
-    }
-    Cudd_Ref(term2);
-    term3 = cuddZddProduct(dd, fd, g1);
-    if (term3 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    Cudd_RecursiveDerefZdd(dd, N0);
-    Cudd_RecursiveDerefZdd(dd, term1);
-    Cudd_RecursiveDerefZdd(dd, term2);
-    return(NULL);
-    }
-    Cudd_Ref(term3);
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    tmp = cuddZddUnion(dd, term1, term2);
-    if (tmp == NULL) {
-    Cudd_RecursiveDerefZdd(dd, N0);
-    Cudd_RecursiveDerefZdd(dd, term1);
-    Cudd_RecursiveDerefZdd(dd, term2);
-    Cudd_RecursiveDerefZdd(dd, term3);
-    return(NULL);
-    }
-    Cudd_Ref(tmp);
-    Cudd_RecursiveDerefZdd(dd, term1);
-    Cudd_RecursiveDerefZdd(dd, term2);
-    R1 = cuddZddUnion(dd, tmp, term3);
-    if (R1 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, N0);
-    Cudd_RecursiveDerefZdd(dd, term3);
-    Cudd_RecursiveDerefZdd(dd, tmp);
-    return(NULL);
-    }
-    Cudd_Ref(R1);
-    Cudd_RecursiveDerefZdd(dd, tmp);
-    Cudd_RecursiveDerefZdd(dd, term3);
-    N1 = cuddZddGetNode(dd, pv, R1, N0); /* pv = yi */
-    if (N1 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, N0);
-    Cudd_RecursiveDerefZdd(dd, R1);
-    return(NULL);
-    }
-    Cudd_Ref(N1);
-    Cudd_RecursiveDerefZdd(dd, R1);
-    Cudd_RecursiveDerefZdd(dd, N0);
-
-    cuddCacheInsert2(dd, cuddZddProduct, f, g, N1);
-    Cudd_Deref(N1);
-    return(N1);
-
-} /* end of cuddZddProduct */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_zddUnateProduct.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddUnateProduct]
-
-******************************************************************************/
-DdNode    *
-cuddZddUnateProduct(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    int        v, top_f, top_g;
-    DdNode    *term1, *term2, *term3, *term4;
-    DdNode    *sum1, *sum2;
-    DdNode    *f0, *f1, *g0, *g1;
-    DdNode    *r;
-    DdNode    *one = DD_ONE(dd);
-    DdNode    *zero = DD_ZERO(dd);
-    int        flag;
-
-    statLine(dd);
-    if (f == zero || g == zero)
-        return(zero);
-    if (f == one)
-        return(g);
-    if (g == one)
-        return(f);
-
-    top_f = dd->permZ[f->index];
-    top_g = dd->permZ[g->index];
-
-    if (top_f > top_g)
-    return(cuddZddUnateProduct(dd, g, f));
-
-    /* Check cache */
-    r = cuddCacheLookup2Zdd(dd, cuddZddUnateProduct, f, g);
-    if (r)
-    return(r);
-
-    v = f->index;    /* either yi or zi */
-    flag = cuddZddGetCofactors2(dd, f, v, &f1, &f0);
-    if (flag == 1)
-    return(NULL);
-    Cudd_Ref(f1);
-    Cudd_Ref(f0);
-    flag = cuddZddGetCofactors2(dd, g, v, &g1, &g0);
-    if (flag == 1) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    return(NULL);
-    }
-    Cudd_Ref(g1);
-    Cudd_Ref(g0);
-
-    term1 = cuddZddUnateProduct(dd, f1, g1);
-    if (term1 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, g0);
-    return(NULL);
-    }
-    Cudd_Ref(term1);
-    term2 = cuddZddUnateProduct(dd, f1, g0);
-    if (term2 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, g0);
-    Cudd_RecursiveDerefZdd(dd, term1);
-    return(NULL);
-    }
-    Cudd_Ref(term2);
-    term3 = cuddZddUnateProduct(dd, f0, g1);
-    if (term3 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, g0);
-    Cudd_RecursiveDerefZdd(dd, term1);
-    Cudd_RecursiveDerefZdd(dd, term2);
-    return(NULL);
-    }
-    Cudd_Ref(term3);
-    term4 = cuddZddUnateProduct(dd, f0, g0);
-    if (term4 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, g0);
-    Cudd_RecursiveDerefZdd(dd, term1);
-    Cudd_RecursiveDerefZdd(dd, term2);
-    Cudd_RecursiveDerefZdd(dd, term3);
-    return(NULL);
-    }
-    Cudd_Ref(term4);
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, g0);
-    sum1 = cuddZddUnion(dd, term1, term2);
-    if (sum1 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, term1);
-    Cudd_RecursiveDerefZdd(dd, term2);
-    Cudd_RecursiveDerefZdd(dd, term3);
-    Cudd_RecursiveDerefZdd(dd, term4);
-    return(NULL);
-    }
-    Cudd_Ref(sum1);
-    Cudd_RecursiveDerefZdd(dd, term1);
-    Cudd_RecursiveDerefZdd(dd, term2);
-    sum2 = cuddZddUnion(dd, sum1, term3);
-    if (sum2 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, term3);
-    Cudd_RecursiveDerefZdd(dd, term4);
-    Cudd_RecursiveDerefZdd(dd, sum1);
-    return(NULL);
-    }
-    Cudd_Ref(sum2);
-    Cudd_RecursiveDerefZdd(dd, sum1);
-    Cudd_RecursiveDerefZdd(dd, term3);
-    r = cuddZddGetNode(dd, v, sum2, term4);
-    if (r == NULL) {
-    Cudd_RecursiveDerefZdd(dd, term4);
-    Cudd_RecursiveDerefZdd(dd, sum2);
-    return(NULL);
-    }
-    Cudd_Ref(r);
-    Cudd_RecursiveDerefZdd(dd, sum2);
-    Cudd_RecursiveDerefZdd(dd, term4);
-
-    cuddCacheInsert2(dd, cuddZddUnateProduct, f, g, r);
-    Cudd_Deref(r);
-    return(r);
-
-} /* end of cuddZddUnateProduct */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_zddWeakDiv.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddWeakDiv]
-
-******************************************************************************/
-DdNode    *
-cuddZddWeakDiv(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    int        v;
-    DdNode    *one = DD_ONE(dd);
-    DdNode    *zero = DD_ZERO(dd);
-    DdNode    *f0, *f1, *fd, *g0, *g1, *gd;
-    DdNode    *q, *tmp;
-    DdNode    *r;
-    int        flag;
-
-    statLine(dd);
-    if (g == one)
-    return(f);
-    if (f == zero || f == one)
-    return(zero);
-    if (f == g)
-    return(one);
-
-    /* Check cache. */
-    r = cuddCacheLookup2Zdd(dd, cuddZddWeakDiv, f, g);
-    if (r)
-    return(r);
-
-    v = g->index;
-
-    flag = cuddZddGetCofactors3(dd, f, v, &f1, &f0, &fd);
-    if (flag == 1)
-    return(NULL);
-    Cudd_Ref(f1);
-    Cudd_Ref(f0);
-    Cudd_Ref(fd);
-    flag = cuddZddGetCofactors3(dd, g, v, &g1, &g0, &gd);
-    if (flag == 1) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    return(NULL);
-    }
-    Cudd_Ref(g1);
-    Cudd_Ref(g0);
-    Cudd_Ref(gd);
-
-    q = g;
-
-    if (g0 != zero) {
-    q = cuddZddWeakDiv(dd, f0, g0);
-    if (q == NULL) {
-        Cudd_RecursiveDerefZdd(dd, f1);
-        Cudd_RecursiveDerefZdd(dd, f0);
-        Cudd_RecursiveDerefZdd(dd, fd);
-        Cudd_RecursiveDerefZdd(dd, g1);
-        Cudd_RecursiveDerefZdd(dd, g0);
-        Cudd_RecursiveDerefZdd(dd, gd);
-        return(NULL);
-    }
-    Cudd_Ref(q);
-    }
-    else
-    Cudd_Ref(q);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, g0);
-
-    if (q == zero) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    cuddCacheInsert2(dd, cuddZddWeakDiv, f, g, zero);
-    Cudd_Deref(q);
-    return(zero);
-    }
-
-    if (g1 != zero) {
-    Cudd_RecursiveDerefZdd(dd, q);
-    tmp = cuddZddWeakDiv(dd, f1, g1);
-    if (tmp == NULL) {
-        Cudd_RecursiveDerefZdd(dd, f1);
-        Cudd_RecursiveDerefZdd(dd, g1);
-        Cudd_RecursiveDerefZdd(dd, fd);
-        Cudd_RecursiveDerefZdd(dd, gd);
-        return(NULL);
-    }
-    Cudd_Ref(tmp);
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    if (q == g)
-        q = tmp;
-    else {
-        q = cuddZddIntersect(dd, q, tmp);
-        if (q == NULL) {
-        Cudd_RecursiveDerefZdd(dd, fd);
-        Cudd_RecursiveDerefZdd(dd, gd);
-        return(NULL);
-        }
-        Cudd_Ref(q);
-        Cudd_RecursiveDerefZdd(dd, tmp);
-    }
-    }
-    else {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    }
-
-    if (q == zero) {
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    cuddCacheInsert2(dd, cuddZddWeakDiv, f, g, zero);
-    Cudd_Deref(q);
-    return(zero);
-    }
-
-    if (gd != zero) {
-    Cudd_RecursiveDerefZdd(dd, q);
-    tmp = cuddZddWeakDiv(dd, fd, gd);
-    if (tmp == NULL) {
-        Cudd_RecursiveDerefZdd(dd, fd);
-        Cudd_RecursiveDerefZdd(dd, gd);
-        return(NULL);
-    }
-    Cudd_Ref(tmp);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    if (q == g)
-        q = tmp;
-    else {
-        q = cuddZddIntersect(dd, q, tmp);
-        if (q == NULL) {
-        Cudd_RecursiveDerefZdd(dd, tmp);
-        return(NULL);
-        }
-        Cudd_Ref(q);
-        Cudd_RecursiveDerefZdd(dd, tmp);
-    }
-    }
-    else {
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    }
-
-    cuddCacheInsert2(dd, cuddZddWeakDiv, f, g, q);
-    Cudd_Deref(q);
-    return(q);
-
-} /* end of cuddZddWeakDiv */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_zddWeakDivF.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddWeakDivF]
-
-******************************************************************************/
-DdNode    *
-cuddZddWeakDivF(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    int        v, top_f, top_g, vf, vg;
-    DdNode    *one = DD_ONE(dd);
-    DdNode    *zero = DD_ZERO(dd);
-    DdNode    *f0, *f1, *fd, *g0, *g1, *gd;
-    DdNode    *q, *tmp;
-    DdNode    *r;
-    DdNode    *term1, *term0, *termd;
-    int        flag;
-    int        pv, nv;
-
-    statLine(dd);
-    if (g == one)
-    return(f);
-    if (f == zero || f == one)
-    return(zero);
-    if (f == g)
-    return(one);
-
-    /* Check cache. */
-    r = cuddCacheLookup2Zdd(dd, cuddZddWeakDivF, f, g);
-    if (r)
-    return(r);
-
-    top_f = dd->permZ[f->index];
-    top_g = dd->permZ[g->index];
-    vf = top_f >> 1;
-    vg = top_g >> 1;
-    v = ddMin(top_f, top_g);
-
-    if (v == top_f && vf < vg) {
-    v = f->index;
-    flag = cuddZddGetCofactors3(dd, f, v, &f1, &f0, &fd);
-    if (flag == 1)
-        return(NULL);
-    Cudd_Ref(f1);
-    Cudd_Ref(f0);
-    Cudd_Ref(fd);
-
-    pv = cuddZddGetPosVarIndex(dd, v);
-    nv = cuddZddGetNegVarIndex(dd, v);
-
-    term1 = cuddZddWeakDivF(dd, f1, g);
-    if (term1 == NULL) {
-        Cudd_RecursiveDerefZdd(dd, f1);
-        Cudd_RecursiveDerefZdd(dd, f0);
-        Cudd_RecursiveDerefZdd(dd, fd);
-        return(NULL);
-    }
-    Cudd_Ref(term1);
-    Cudd_RecursiveDerefZdd(dd, f1);
-    term0 = cuddZddWeakDivF(dd, f0, g);
-    if (term0 == NULL) {
-        Cudd_RecursiveDerefZdd(dd, f0);
-        Cudd_RecursiveDerefZdd(dd, fd);
-        Cudd_RecursiveDerefZdd(dd, term1);
-        return(NULL);
-    }
-    Cudd_Ref(term0);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    termd = cuddZddWeakDivF(dd, fd, g);
-    if (termd == NULL) {
-        Cudd_RecursiveDerefZdd(dd, fd);
-        Cudd_RecursiveDerefZdd(dd, term1);
-        Cudd_RecursiveDerefZdd(dd, term0);
-        return(NULL);
-    }
-    Cudd_Ref(termd);
-    Cudd_RecursiveDerefZdd(dd, fd);
-
-    tmp = cuddZddGetNode(dd, nv, term0, termd); /* nv = zi */
-    if (tmp == NULL) {
-        Cudd_RecursiveDerefZdd(dd, term1);
-        Cudd_RecursiveDerefZdd(dd, term0);
-        Cudd_RecursiveDerefZdd(dd, termd);
-        return(NULL);
-    }
-    Cudd_Ref(tmp);
-    Cudd_RecursiveDerefZdd(dd, term0);
-    Cudd_RecursiveDerefZdd(dd, termd);
-    q = cuddZddGetNode(dd, pv, term1, tmp); /* pv = yi */
-    if (q == NULL) {
-        Cudd_RecursiveDerefZdd(dd, term1);
-        Cudd_RecursiveDerefZdd(dd, tmp);
-        return(NULL);
-    }
-    Cudd_Ref(q);
-    Cudd_RecursiveDerefZdd(dd, term1);
-    Cudd_RecursiveDerefZdd(dd, tmp);
-
-    cuddCacheInsert2(dd, cuddZddWeakDivF, f, g, q);
-    Cudd_Deref(q);
-    return(q);
-    }
-
-    if (v == top_f)
-    v = f->index;
-    else
-    v = g->index;
-
-    flag = cuddZddGetCofactors3(dd, f, v, &f1, &f0, &fd);
-    if (flag == 1)
-    return(NULL);
-    Cudd_Ref(f1);
-    Cudd_Ref(f0);
-    Cudd_Ref(fd);
-    flag = cuddZddGetCofactors3(dd, g, v, &g1, &g0, &gd);
-    if (flag == 1) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    return(NULL);
-    }
-    Cudd_Ref(g1);
-    Cudd_Ref(g0);
-    Cudd_Ref(gd);
-
-    q = g;
-
-    if (g0 != zero) {
-    q = cuddZddWeakDivF(dd, f0, g0);
-    if (q == NULL) {
-        Cudd_RecursiveDerefZdd(dd, f1);
-        Cudd_RecursiveDerefZdd(dd, f0);
-        Cudd_RecursiveDerefZdd(dd, fd);
-        Cudd_RecursiveDerefZdd(dd, g1);
-        Cudd_RecursiveDerefZdd(dd, g0);
-        Cudd_RecursiveDerefZdd(dd, gd);
-        return(NULL);
-    }
-    Cudd_Ref(q);
-    }
-    else
-    Cudd_Ref(q);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, g0);
-
-    if (q == zero) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    cuddCacheInsert2(dd, cuddZddWeakDivF, f, g, zero);
-    Cudd_Deref(q);
-    return(zero);
-    }
-
-    if (g1 != zero) {
-    Cudd_RecursiveDerefZdd(dd, q);
-    tmp = cuddZddWeakDivF(dd, f1, g1);
-    if (tmp == NULL) {
-        Cudd_RecursiveDerefZdd(dd, f1);
-        Cudd_RecursiveDerefZdd(dd, g1);
-        Cudd_RecursiveDerefZdd(dd, fd);
-        Cudd_RecursiveDerefZdd(dd, gd);
-        return(NULL);
-    }
-    Cudd_Ref(tmp);
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    if (q == g)
-        q = tmp;
-    else {
-        q = cuddZddIntersect(dd, q, tmp);
-        if (q == NULL) {
-        Cudd_RecursiveDerefZdd(dd, fd);
-        Cudd_RecursiveDerefZdd(dd, gd);
-        return(NULL);
-        }
-        Cudd_Ref(q);
-        Cudd_RecursiveDerefZdd(dd, tmp);
-    }
-    }
-    else {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    }
-
-    if (q == zero) {
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    cuddCacheInsert2(dd, cuddZddWeakDivF, f, g, zero);
-    Cudd_Deref(q);
-    return(zero);
-    }
-
-    if (gd != zero) {
-    Cudd_RecursiveDerefZdd(dd, q);
-    tmp = cuddZddWeakDivF(dd, fd, gd);
-    if (tmp == NULL) {
-        Cudd_RecursiveDerefZdd(dd, fd);
-        Cudd_RecursiveDerefZdd(dd, gd);
-        return(NULL);
-    }
-    Cudd_Ref(tmp);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    if (q == g)
-        q = tmp;
-    else {
-        q = cuddZddIntersect(dd, q, tmp);
-        if (q == NULL) {
-        Cudd_RecursiveDerefZdd(dd, tmp);
-        return(NULL);
-        }
-        Cudd_Ref(q);
-        Cudd_RecursiveDerefZdd(dd, tmp);
-    }
-    }
-    else {
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDerefZdd(dd, gd);
-    }
-
-    cuddCacheInsert2(dd, cuddZddWeakDivF, f, g, q);
-    Cudd_Deref(q);
-    return(q);
-
-} /* end of cuddZddWeakDivF */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_zddDivide.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddDivide]
-
-******************************************************************************/
-DdNode    *
-cuddZddDivide(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    int        v;
-    DdNode    *one = DD_ONE(dd);
-    DdNode    *zero = DD_ZERO(dd);
-    DdNode    *f0, *f1, *g0, *g1;
-    DdNode    *q, *r, *tmp;
-    int        flag;
-
-    statLine(dd);
-    if (g == one)
-    return(f);
-    if (f == zero || f == one)
-    return(zero);
-    if (f == g)
-    return(one);
-
-    /* Check cache. */
-    r = cuddCacheLookup2Zdd(dd, cuddZddDivide, f, g);
-    if (r)
-    return(r);
-
-    v = g->index;
-
-    flag = cuddZddGetCofactors2(dd, f, v, &f1, &f0);
-    if (flag == 1)
-    return(NULL);
-    Cudd_Ref(f1);
-    Cudd_Ref(f0);
-    flag = cuddZddGetCofactors2(dd, g, v, &g1, &g0);    /* g1 != zero */
-    if (flag == 1) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    return(NULL);
-    }
-    Cudd_Ref(g1);
-    Cudd_Ref(g0);
-
-    r = cuddZddDivide(dd, f1, g1);
-    if (r == NULL) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, g0);
-    return(NULL);
-    }
-    Cudd_Ref(r);
-
-    if (r != zero && g0 != zero) {
-    tmp = r;
-    q = cuddZddDivide(dd, f0, g0);
-    if (q == NULL) {
-        Cudd_RecursiveDerefZdd(dd, f1);
-        Cudd_RecursiveDerefZdd(dd, f0);
-        Cudd_RecursiveDerefZdd(dd, g1);
-        Cudd_RecursiveDerefZdd(dd, g0);
-        return(NULL);
-    }
-    Cudd_Ref(q);
-    r = cuddZddIntersect(dd, r, q);
-    if (r == NULL) {
-        Cudd_RecursiveDerefZdd(dd, f1);
-        Cudd_RecursiveDerefZdd(dd, f0);
-        Cudd_RecursiveDerefZdd(dd, g1);
-        Cudd_RecursiveDerefZdd(dd, g0);
-        Cudd_RecursiveDerefZdd(dd, q);
-        return(NULL);
-    }
-    Cudd_Ref(r);
-    Cudd_RecursiveDerefZdd(dd, q);
-    Cudd_RecursiveDerefZdd(dd, tmp);
-    }
-
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, g0);
-    
-    cuddCacheInsert2(dd, cuddZddDivide, f, g, r);
-    Cudd_Deref(r);
-    return(r);
-
-} /* end of cuddZddDivide */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_zddDivideF.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddDivideF]
-
-******************************************************************************/
-DdNode    *
-cuddZddDivideF(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g)
-{
-    int        v;
-    DdNode    *one = DD_ONE(dd);
-    DdNode    *zero = DD_ZERO(dd);
-    DdNode    *f0, *f1, *g0, *g1;
-    DdNode    *q, *r, *tmp;
-    int        flag;
-
-    statLine(dd);
-    if (g == one)
-    return(f);
-    if (f == zero || f == one)
-    return(zero);
-    if (f == g)
-    return(one);
-
-    /* Check cache. */
-    r = cuddCacheLookup2Zdd(dd, cuddZddDivideF, f, g);
-    if (r)
-    return(r);
-
-    v = g->index;
-
-    flag = cuddZddGetCofactors2(dd, f, v, &f1, &f0);
-    if (flag == 1)
-    return(NULL);
-    Cudd_Ref(f1);
-    Cudd_Ref(f0);
-    flag = cuddZddGetCofactors2(dd, g, v, &g1, &g0);    /* g1 != zero */
-    if (flag == 1) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    return(NULL);
-    }
-    Cudd_Ref(g1);
-    Cudd_Ref(g0);
-
-    r = cuddZddDivideF(dd, f1, g1);
-    if (r == NULL) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, g0);
-    return(NULL);
-    }
-    Cudd_Ref(r);
-
-    if (r != zero && g0 != zero) {
-    tmp = r;
-    q = cuddZddDivideF(dd, f0, g0);
-    if (q == NULL) {
-        Cudd_RecursiveDerefZdd(dd, f1);
-        Cudd_RecursiveDerefZdd(dd, f0);
-        Cudd_RecursiveDerefZdd(dd, g1);
-        Cudd_RecursiveDerefZdd(dd, g0);
-        return(NULL);
-    }
-    Cudd_Ref(q);
-    r = cuddZddIntersect(dd, r, q);
-    if (r == NULL) {
-        Cudd_RecursiveDerefZdd(dd, f1);
-        Cudd_RecursiveDerefZdd(dd, f0);
-        Cudd_RecursiveDerefZdd(dd, g1);
-        Cudd_RecursiveDerefZdd(dd, g0);
-        Cudd_RecursiveDerefZdd(dd, q);
-        return(NULL);
-    }
-    Cudd_Ref(r);
-    Cudd_RecursiveDerefZdd(dd, q);
-    Cudd_RecursiveDerefZdd(dd, tmp);
-    }
-
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, g1);
-    Cudd_RecursiveDerefZdd(dd, g0);
-    
-    cuddCacheInsert2(dd, cuddZddDivideF, f, g, r);
-    Cudd_Deref(r);
-    return(r);
-
-} /* end of cuddZddDivideF */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the three-way decomposition of f w.r.t. v.]
-
-  Description [Computes the three-way decomposition of function f (represented
-  by a ZDD) wit respect to variable v.]
-
-  SideEffects [The results are returned in f1, f0, and fd.]
-
-  SeeAlso     [cuddZddGetCofactors2]
-
-******************************************************************************/
-int
-cuddZddGetCofactors3(
-  DdManager * dd,
-  DdNode * f,
-  int  v,
-  DdNode ** f1,
-  DdNode ** f0,
-  DdNode ** fd)
-{
-    DdNode    *pc, *nc;
-    DdNode    *zero = DD_ZERO(dd);
-    int        top, hv, ht, pv, nv;
-    int        level;
-
-    top = dd->permZ[f->index];
-    level = dd->permZ[v];
-    hv = level >> 1;
-    ht = top >> 1;
-
-    if (hv < ht) {
-    *f1 = zero;
-    *f0 = zero;
-    *fd = f;
-    }
-    else {
-    pv = cuddZddGetPosVarIndex(dd, v);
-    nv = cuddZddGetNegVarIndex(dd, v);
-
-    /* not to create intermediate ZDD node */
-    if (cuddZddGetPosVarLevel(dd, v) < cuddZddGetNegVarLevel(dd, v)) {
-        pc = cuddZddSubset1(dd, f, pv);
-        if (pc == NULL)
-        return(1);
-        Cudd_Ref(pc);
-        nc = cuddZddSubset0(dd, f, pv);
-        if (nc == NULL) {
-        Cudd_RecursiveDerefZdd(dd, pc);
-        return(1);
-        }
-        Cudd_Ref(nc);
-
-        *f1 = cuddZddSubset0(dd, pc, nv);
-        if (*f1 == NULL) {
-        Cudd_RecursiveDerefZdd(dd, pc);
-        Cudd_RecursiveDerefZdd(dd, nc);
-        return(1);
-        }
-        Cudd_Ref(*f1);
-        *f0 = cuddZddSubset1(dd, nc, nv);
-        if (*f0 == NULL) {
-        Cudd_RecursiveDerefZdd(dd, pc);
-        Cudd_RecursiveDerefZdd(dd, nc);
-        Cudd_RecursiveDerefZdd(dd, *f1);
-        return(1);
-        }
-        Cudd_Ref(*f0);
-
-        *fd = cuddZddSubset0(dd, nc, nv);
-        if (*fd == NULL) {
-        Cudd_RecursiveDerefZdd(dd, pc);
-        Cudd_RecursiveDerefZdd(dd, nc);
-        Cudd_RecursiveDerefZdd(dd, *f1);
-        Cudd_RecursiveDerefZdd(dd, *f0);
-        return(1);
-        }
-        Cudd_Ref(*fd);
-    } else {
-        pc = cuddZddSubset1(dd, f, nv);
-        if (pc == NULL)
-        return(1);
-        Cudd_Ref(pc);
-        nc = cuddZddSubset0(dd, f, nv);
-        if (nc == NULL) {
-        Cudd_RecursiveDerefZdd(dd, pc);
-        return(1);
-        }
-        Cudd_Ref(nc);
-
-        *f0 = cuddZddSubset0(dd, pc, pv);
-        if (*f0 == NULL) {
-        Cudd_RecursiveDerefZdd(dd, pc);
-        Cudd_RecursiveDerefZdd(dd, nc);
-        return(1);
-        }
-        Cudd_Ref(*f0);
-        *f1 = cuddZddSubset1(dd, nc, pv);
-        if (*f1 == NULL) {
-        Cudd_RecursiveDerefZdd(dd, pc);
-        Cudd_RecursiveDerefZdd(dd, nc);
-        Cudd_RecursiveDerefZdd(dd, *f1);
-        return(1);
-        }
-        Cudd_Ref(*f1);
-
-        *fd = cuddZddSubset0(dd, nc, pv);
-        if (*fd == NULL) {
-        Cudd_RecursiveDerefZdd(dd, pc);
-        Cudd_RecursiveDerefZdd(dd, nc);
-        Cudd_RecursiveDerefZdd(dd, *f1);
-        Cudd_RecursiveDerefZdd(dd, *f0);
-        return(1);
-        }
-        Cudd_Ref(*fd);
-    }
-
-    Cudd_RecursiveDerefZdd(dd, pc);
-    Cudd_RecursiveDerefZdd(dd, nc);
-    Cudd_Deref(*f1);
-    Cudd_Deref(*f0);
-    Cudd_Deref(*fd);
-    }
-    return(0);
-
-} /* end of cuddZddGetCofactors3 */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes the two-way decomposition of f w.r.t. v.]
-
-  Description []
-
-  SideEffects [The results are returned in f1 and f0.]
-
-  SeeAlso     [cuddZddGetCofactors3]
-
-******************************************************************************/
-int
-cuddZddGetCofactors2(
-  DdManager * dd,
-  DdNode * f,
-  int  v,
-  DdNode ** f1,
-  DdNode ** f0)
-{
-    *f1 = cuddZddSubset1(dd, f, v);
-    if (*f1 == NULL)
-    return(1);
-    *f0 = cuddZddSubset0(dd, f, v);
-    if (*f0 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, *f1);
-    return(1);
-    }
-    return(0);
-
-} /* end of cuddZddGetCofactors2 */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes a complement of a ZDD node.]
-
-  Description [Computes the complement of a ZDD node. So far, since we
-  couldn't find a direct way to get the complement of a ZDD cover, we first
-  convert a ZDD cover to a BDD, then make the complement of the ZDD cover
-  from the complement of the BDD node by using ISOP.]
-
-  SideEffects [The result depends on current variable order.]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode    *
-cuddZddComplement(
-  DdManager * dd,
-  DdNode *node)
-{
-    DdNode    *b, *isop, *zdd_I;
-
-    /* Check cache */
-    zdd_I = cuddCacheLookup1Zdd(dd, cuddZddComplement, node);
-    if (zdd_I)
-    return(zdd_I);
-
-    b = cuddMakeBddFromZddCover(dd, node);
-    if (!b)
-    return(NULL);
-    cuddRef(b);
-    isop = cuddZddIsop(dd, Cudd_Not(b), Cudd_Not(b), &zdd_I);
-    if (!isop) {
-    Cudd_RecursiveDeref(dd, b);
-    return(NULL);
-    }
-    cuddRef(isop);
-    cuddRef(zdd_I);
-    Cudd_RecursiveDeref(dd, b);
-    Cudd_RecursiveDeref(dd, isop);
-
-    cuddCacheInsert1(dd, cuddZddComplement, node, zdd_I);
-    cuddDeref(zdd_I);
-    return(zdd_I);
-} /* end of cuddZddComplement */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the index of positive ZDD variable.]
-
-  Description [Returns the index of positive ZDD variable.]
-
-  SideEffects []
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddZddGetPosVarIndex(
-  DdManager * dd,
-  int index)
-{
-    int    pv = (index >> 1) << 1;
-    return(pv);
-} /* end of cuddZddGetPosVarIndex */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the index of negative ZDD variable.]
-
-  Description [Returns the index of negative ZDD variable.]
-
-  SideEffects []
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddZddGetNegVarIndex(
-  DdManager * dd,
-  int index)
-{
-    int    nv = index | 0x1;
-    return(nv);
-} /* end of cuddZddGetPosVarIndex */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the level of positive ZDD variable.]
-
-  Description [Returns the level of positive ZDD variable.]
-
-  SideEffects []
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddZddGetPosVarLevel(
-  DdManager * dd,
-  int index)
-{
-    int    pv = cuddZddGetPosVarIndex(dd, index);
-    return(dd->permZ[pv]);
-} /* end of cuddZddGetPosVarLevel */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Returns the level of negative ZDD variable.]
-
-  Description [Returns the level of negative ZDD variable.]
-
-  SideEffects []
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddZddGetNegVarLevel(
-  DdManager * dd,
-  int index)
-{
-    int    nv = cuddZddGetNegVarIndex(dd, index);
-    return(dd->permZ[nv]);
-} /* end of cuddZddGetNegVarLevel */
diff --git a/src/bdd/cudd/cuddZddGroup.c b/src/bdd/cudd/cuddZddGroup.c
deleted file mode 100644
index 621fa43f..00000000
--- a/src/bdd/cudd/cuddZddGroup.c
+++ /dev/null
@@ -1,1317 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddZddGroup.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions for ZDD group sifting.]
-
-  Description [External procedures included in this file:
-        <ul>
-        <li> Cudd_MakeZddTreeNode()
-        </ul>
-    Internal procedures included in this file:
-        <ul>
-        <li> cuddZddTreeSifting()
-        </ul>
-    Static procedures included in this module:
-        <ul>
-        <li> zddTreeSiftingAux()
-        <li> zddCountInternalMtrNodes()
-        <li> zddReorderChildren()
-        <li> zddFindNodeHiLo()
-        <li> zddUniqueCompareGroup()
-        <li> zddGroupSifting()
-        <li> zddGroupSiftingAux()
-        <li> zddGroupSiftingUp()
-        <li> zddGroupSiftingDown()
-        <li> zddGroupMove()
-        <li> zddGroupMoveBackward()
-        <li> zddGroupSiftingBackward()
-        <li> zddMergeGroups()
-        </ul>]
-
-  Author      [Fabio Somenzi]
-
-  Copyright   [This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddZddGroup.c,v 1.1.1.1 2003/02/24 22:23:54 wjiang Exp $";
-#endif
-
-static    int    *entry;
-extern    int    zddTotalNumberSwapping;
-#ifdef DD_STATS
-static  int     extsymmcalls;
-static  int     extsymm;
-static  int     secdiffcalls;
-static  int     secdiff;
-static  int     secdiffmisfire;
-#endif
-#ifdef DD_DEBUG
-static    int    pr = 0;    /* flag to enable printing while debugging */
-            /* by depositing a 1 into it */
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int zddTreeSiftingAux ARGS((DdManager *table, MtrNode *treenode, Cudd_ReorderingType method));
-#ifdef DD_STATS
-static int zddCountInternalMtrNodes ARGS((DdManager *table, MtrNode *treenode));
-#endif
-static int zddReorderChildren ARGS((DdManager *table, MtrNode *treenode, Cudd_ReorderingType method));
-static void zddFindNodeHiLo ARGS((DdManager *table, MtrNode *treenode, int *lower, int *upper));
-static int zddUniqueCompareGroup ARGS((int *ptrX, int *ptrY));
-static int zddGroupSifting ARGS((DdManager *table, int lower, int upper));
-static int zddGroupSiftingAux ARGS((DdManager *table, int x, int xLow, int xHigh));
-static int zddGroupSiftingUp ARGS((DdManager *table, int y, int xLow, Move **moves));
-static int zddGroupSiftingDown ARGS((DdManager *table, int x, int xHigh, Move **moves));
-static int zddGroupMove ARGS((DdManager *table, int x, int y, Move **moves));
-static int zddGroupMoveBackward ARGS((DdManager *table, int x, int y));
-static int zddGroupSiftingBackward ARGS((DdManager *table, Move *moves, int size));
-static void zddMergeGroups ARGS((DdManager *table, MtrNode *treenode, int low, int high));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Creates a new ZDD variable group.]
-
-  Description [Creates a new ZDD variable group. The group starts at
-  variable and contains size variables. The parameter low is the index
-  of the first variable. If the variable already exists, its current
-  position in the order is known to the manager. If the variable does
-  not exist yet, the position is assumed to be the same as the index.
-  The group tree is created if it does not exist yet.
-  Returns a pointer to the group if successful; NULL otherwise.]
-
-  SideEffects [The ZDD variable tree is changed.]
-
-  SeeAlso     [Cudd_MakeTreeNode]
-
-******************************************************************************/
-MtrNode *
-Cudd_MakeZddTreeNode(
-  DdManager * dd /* manager */,
-  unsigned int  low /* index of the first group variable */,
-  unsigned int  size /* number of variables in the group */,
-  unsigned int  type /* MTR_DEFAULT or MTR_FIXED */)
-{
-    MtrNode *group;
-    MtrNode *tree;
-    unsigned int level;
-
-    /* If the variable does not exist yet, the position is assumed to be
-    ** the same as the index. Therefore, applications that rely on
-    ** Cudd_bddNewVarAtLevel or Cudd_addNewVarAtLevel to create new
-    ** variables have to create the variables before they group them.
-    */
-    level = (low < (unsigned int) dd->sizeZ) ? dd->permZ[low] : low;
-
-    if (level + size - 1> (int) MTR_MAXHIGH)
-    return(NULL);
-
-    /* If the tree does not exist yet, create it. */
-    tree = dd->treeZ;
-    if (tree == NULL) {
-    dd->treeZ = tree = Mtr_InitGroupTree(0, dd->sizeZ);
-    if (tree == NULL)
-        return(NULL);
-    tree->index = dd->invpermZ[0];
-    }
-
-    /* Extend the upper bound of the tree if necessary. This allows the
-    ** application to create groups even before the variables are created.
-    */
-    tree->size = ddMax(tree->size, level + size);
-
-    /* Create the group. */
-    group = Mtr_MakeGroup(tree, level, size, type);
-    if (group == NULL)
-    return(NULL);
-
-    /* Initialize the index field to the index of the variable currently
-    ** in position low. This field will be updated by the reordering
-    ** procedure to provide a handle to the group once it has been moved.
-    */
-    group->index = (MtrHalfWord) low;
-
-    return(group);
-
-} /* end of Cudd_MakeZddTreeNode */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Tree sifting algorithm for ZDDs.]
-
-  Description [Tree sifting algorithm for ZDDs. Assumes that a tree
-  representing a group hierarchy is passed as a parameter. It then
-  reorders each group in postorder fashion by calling
-  zddTreeSiftingAux.  Assumes that no dead nodes are present.  Returns
-  1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-int
-cuddZddTreeSifting(
-  DdManager * table /* DD table */,
-  Cudd_ReorderingType method /* reordering method for the groups of leaves */)
-{
-    int i;
-    int nvars;
-    int result;
-    int tempTree;
-
-    /* If no tree is provided we create a temporary one in which all
-    ** variables are in a single group. After reordering this tree is
-    ** destroyed.
-    */
-    tempTree = table->treeZ == NULL;
-    if (tempTree) {
-    table->treeZ = Mtr_InitGroupTree(0,table->sizeZ);
-    table->treeZ->index = table->invpermZ[0];
-    }
-    nvars = table->sizeZ;
-
-#ifdef DD_DEBUG
-    if (pr > 0 && !tempTree)
-    (void) fprintf(table->out,"cuddZddTreeSifting:");
-    Mtr_PrintGroups(table->treeZ,pr <= 0);
-#endif
-#if 0
-    /* Debugging code. */
-    if (table->tree && table->treeZ) {
-    (void) fprintf(table->out,"\n");
-    Mtr_PrintGroups(table->tree, 0);
-    cuddPrintVarGroups(table,table->tree,0,0);
-    for (i = 0; i < table->size; i++) {
-        (void) fprintf(table->out,"%s%d",
-               (i == 0) ? "" : ",", table->invperm[i]);
-    }
-    (void) fprintf(table->out,"\n");
-    for (i = 0; i < table->size; i++) {
-        (void) fprintf(table->out,"%s%d",
-               (i == 0) ? "" : ",", table->perm[i]);
-    }
-    (void) fprintf(table->out,"\n\n");
-    Mtr_PrintGroups(table->treeZ,0);
-    cuddPrintVarGroups(table,table->treeZ,1,0);
-    for (i = 0; i < table->sizeZ; i++) {
-        (void) fprintf(table->out,"%s%d",
-               (i == 0) ? "" : ",", table->invpermZ[i]);
-    }
-    (void) fprintf(table->out,"\n");
-    for (i = 0; i < table->sizeZ; i++) {
-        (void) fprintf(table->out,"%s%d",
-               (i == 0) ? "" : ",", table->permZ[i]);
-    }
-    (void) fprintf(table->out,"\n");
-    }
-    /* End of debugging code. */
-#endif
-#ifdef DD_STATS
-    extsymmcalls = 0;
-    extsymm = 0;
-    secdiffcalls = 0;
-    secdiff = 0;
-    secdiffmisfire = 0;
-
-    (void) fprintf(table->out,"\n");
-    if (!tempTree)
-    (void) fprintf(table->out,"#:IM_NODES  %8d: group tree nodes\n",
-               zddCountInternalMtrNodes(table,table->treeZ));
-#endif
-
-    /* Initialize the group of each subtable to itself. Initially
-    ** there are no groups. Groups are created according to the tree
-    ** structure in postorder fashion.
-    */
-    for (i = 0; i < nvars; i++)
-        table->subtableZ[i].next = i;
-
-    /* Reorder. */
-    result = zddTreeSiftingAux(table, table->treeZ, method);
-
-#ifdef DD_STATS        /* print stats */
-    if (!tempTree && method == CUDD_REORDER_GROUP_SIFT &&
-    (table->groupcheck == CUDD_GROUP_CHECK7 ||
-     table->groupcheck == CUDD_GROUP_CHECK5)) {
-    (void) fprintf(table->out,"\nextsymmcalls = %d\n",extsymmcalls);
-    (void) fprintf(table->out,"extsymm = %d",extsymm);
-    }
-    if (!tempTree && method == CUDD_REORDER_GROUP_SIFT &&
-    table->groupcheck == CUDD_GROUP_CHECK7) {
-    (void) fprintf(table->out,"\nsecdiffcalls = %d\n",secdiffcalls);
-    (void) fprintf(table->out,"secdiff = %d\n",secdiff);
-    (void) fprintf(table->out,"secdiffmisfire = %d",secdiffmisfire);
-    }
-#endif
-
-    if (tempTree)
-    Cudd_FreeZddTree(table);
-    return(result);
-
-} /* end of cuddZddTreeSifting */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Visits the group tree and reorders each group.]
-
-  Description [Recursively visits the group tree and reorders each
-  group in postorder fashion.  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-zddTreeSiftingAux(
-  DdManager * table,
-  MtrNode * treenode,
-  Cudd_ReorderingType method)
-{
-    MtrNode  *auxnode;
-    int res;
-
-#ifdef DD_DEBUG
-    Mtr_PrintGroups(treenode,1);
-#endif
-
-    auxnode = treenode;
-    while (auxnode != NULL) {
-    if (auxnode->child != NULL) {
-        if (!zddTreeSiftingAux(table, auxnode->child, method))
-        return(0);
-        res = zddReorderChildren(table, auxnode, CUDD_REORDER_GROUP_SIFT);
-        if (res == 0)
-        return(0);
-    } else if (auxnode->size > 1) {
-        if (!zddReorderChildren(table, auxnode, method))
-        return(0);
-    }
-    auxnode = auxnode->younger;
-    }
-
-    return(1);
-
-} /* end of zddTreeSiftingAux */
-
-
-#ifdef DD_STATS
-/**Function********************************************************************
-
-  Synopsis    [Counts the number of internal nodes of the group tree.]
-
-  Description [Counts the number of internal nodes of the group tree.
-  Returns the count.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-zddCountInternalMtrNodes(
-  DdManager * table,
-  MtrNode * treenode)
-{
-    MtrNode *auxnode;
-    int     count,nodeCount;
-
-
-    nodeCount = 0;
-    auxnode = treenode;
-    while (auxnode != NULL) {
-    if (!(MTR_TEST(auxnode,MTR_TERMINAL))) {
-        nodeCount++;
-        count = zddCountInternalMtrNodes(table,auxnode->child);
-        nodeCount += count;
-    }
-    auxnode = auxnode->younger;
-    }
-
-    return(nodeCount);
-
-} /* end of zddCountInternalMtrNodes */
-#endif
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders the children of a group tree node according to
-  the options.]
-
-  Description [Reorders the children of a group tree node according to
-  the options. After reordering puts all the variables in the group
-  and/or its descendents in a single group. This allows hierarchical
-  reordering.  If the variables in the group do not exist yet, simply
-  does nothing. Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-zddReorderChildren(
-  DdManager * table,
-  MtrNode * treenode,
-  Cudd_ReorderingType method)
-{
-    int lower;
-    int upper;
-    int result;
-    unsigned int initialSize;
-
-    zddFindNodeHiLo(table,treenode,&lower,&upper);
-    /* If upper == -1 these variables do not exist yet. */
-    if (upper == -1)
-    return(1);
-
-    if (treenode->flags == MTR_FIXED) {
-    result = 1;
-    } else {
-#ifdef DD_STATS
-    (void) fprintf(table->out," ");
-#endif
-    switch (method) {
-    case CUDD_REORDER_RANDOM:
-    case CUDD_REORDER_RANDOM_PIVOT:
-        result = cuddZddSwapping(table,lower,upper,method);
-        break;
-    case CUDD_REORDER_SIFT:
-        result = cuddZddSifting(table,lower,upper);
-        break;
-    case CUDD_REORDER_SIFT_CONVERGE:
-        do {
-        initialSize = table->keysZ;
-        result = cuddZddSifting(table,lower,upper);
-        if (initialSize <= table->keysZ)
-            break;
-#ifdef DD_STATS
-        else
-            (void) fprintf(table->out,"\n");
-#endif
-        } while (result != 0);
-        break;
-    case CUDD_REORDER_SYMM_SIFT:
-        result = cuddZddSymmSifting(table,lower,upper);
-        break;
-    case CUDD_REORDER_SYMM_SIFT_CONV:
-        result = cuddZddSymmSiftingConv(table,lower,upper);
-        break;
-    case CUDD_REORDER_GROUP_SIFT:
-        result = zddGroupSifting(table,lower,upper);
-        break;
-    case CUDD_REORDER_LINEAR:
-        result = cuddZddLinearSifting(table,lower,upper);
-        break;
-    case CUDD_REORDER_LINEAR_CONVERGE:
-        do {
-        initialSize = table->keysZ;
-        result = cuddZddLinearSifting(table,lower,upper);
-        if (initialSize <= table->keysZ)
-            break;
-#ifdef DD_STATS
-        else
-            (void) fprintf(table->out,"\n");
-#endif
-        } while (result != 0);
-        break;
-    default:
-        return(0);
-    }
-    }
-
-    /* Create a single group for all the variables that were sifted,
-    ** so that they will be treated as a single block by successive
-    ** invocations of zddGroupSifting.
-    */
-    zddMergeGroups(table,treenode,lower,upper);
-
-#ifdef DD_DEBUG
-    if (pr > 0) (void) fprintf(table->out,"zddReorderChildren:");
-#endif
-
-    return(result);
-
-} /* end of zddReorderChildren */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the lower and upper bounds of the group represented
-  by treenode.]
-
-  Description [Finds the lower and upper bounds of the group represented
-  by treenode.  The high and low fields of treenode are indices.  From
-  those we need to derive the current positions, and find maximum and
-  minimum.]
-
-  SideEffects [The bounds are returned as side effects.]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-zddFindNodeHiLo(
-  DdManager * table,
-  MtrNode * treenode,
-  int * lower,
-  int * upper)
-{
-    int low;
-    int high;
-
-    /* Check whether no variables in this group already exist.
-    ** If so, return immediately. The calling procedure will know from
-    ** the values of upper that no reordering is needed.
-    */
-    if ((int) treenode->low >= table->sizeZ) {
-    *lower = table->sizeZ;
-    *upper = -1;
-    return;
-    }
-
-    *lower = low = (unsigned int) table->permZ[treenode->index];
-    high = (int) (low + treenode->size - 1);
-
-    if (high >= table->sizeZ) {
-    /* This is the case of a partially existing group. The aim is to
-    ** reorder as many variables as safely possible.  If the tree
-    ** node is terminal, we just reorder the subset of the group
-    ** that is currently in existence.  If the group has
-    ** subgroups, then we only reorder those subgroups that are
-    ** fully instantiated.  This way we avoid breaking up a group.
-    */
-    MtrNode *auxnode = treenode->child;
-    if (auxnode == NULL) {
-        *upper = (unsigned int) table->sizeZ - 1;
-    } else {
-        /* Search the subgroup that strands the table->sizeZ line.
-        ** If the first group starts at 0 and goes past table->sizeZ
-        ** upper will get -1, thus correctly signaling that no reordering
-        ** should take place.
-        */
-        while (auxnode != NULL) {
-        int thisLower = table->permZ[auxnode->low];
-        int thisUpper = thisLower + auxnode->size - 1;
-        if (thisUpper >= table->sizeZ && thisLower < table->sizeZ)
-            *upper = (unsigned int) thisLower - 1;
-        auxnode = auxnode->younger;
-        }
-    }
-    } else {
-    /* Normal case: All the variables of the group exist. */
-    *upper = (unsigned int) high;
-    }
-
-#ifdef DD_DEBUG
-    /* Make sure that all variables in group are contiguous. */
-    assert(treenode->size >= *upper - *lower + 1);
-#endif
-
-    return;
-
-} /* end of zddFindNodeHiLo */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Comparison function used by qsort.]
-
-  Description [Comparison function used by qsort to order the variables
-  according to the number of keys in the subtables.  Returns the
-  difference in number of keys between the two variables being
-  compared.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-zddUniqueCompareGroup(
-  int * ptrX,
-  int * ptrY)
-{
-#if 0
-    if (entry[*ptrY] == entry[*ptrX]) {
-    return((*ptrX) - (*ptrY));
-    }
-#endif
-    return(entry[*ptrY] - entry[*ptrX]);
-
-} /* end of zddUniqueCompareGroup */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sifts from treenode->low to treenode->high.]
-
-  Description [Sifts from treenode->low to treenode->high. If
-  croupcheck == CUDD_GROUP_CHECK7, it checks for group creation at the
-  end of the initial sifting. If a group is created, it is then sifted
-  again. After sifting one variable, the group that contains it is
-  dissolved.  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-zddGroupSifting(
-  DdManager * table,
-  int  lower,
-  int  upper)
-{
-    int        *var;
-    int        i,j,x,xInit;
-    int        nvars;
-    int        classes;
-    int        result;
-    int        *sifted;
-#ifdef DD_STATS
-    unsigned    previousSize;
-#endif
-    int        xindex;
-
-    nvars = table->sizeZ;
-
-    /* Order variables to sift. */
-    entry = NULL;
-    sifted = NULL;
-    var = ALLOC(int,nvars);
-    if (var == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto zddGroupSiftingOutOfMem;
-    }
-    entry = ALLOC(int,nvars);
-    if (entry == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto zddGroupSiftingOutOfMem;
-    }
-    sifted = ALLOC(int,nvars);
-    if (sifted == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto zddGroupSiftingOutOfMem;
-    }
-
-    /* Here we consider only one representative for each group. */
-    for (i = 0, classes = 0; i < nvars; i++) {
-    sifted[i] = 0;
-    x = table->permZ[i];
-    if ((unsigned) x >= table->subtableZ[x].next) {
-        entry[i] = table->subtableZ[x].keys;
-        var[classes] = i;
-        classes++;
-    }
-    }
-
-    qsort((void *)var,classes,sizeof(int),(int (*)(const void *, const void *))zddUniqueCompareGroup);
-
-    /* Now sift. */
-    for (i = 0; i < ddMin(table->siftMaxVar,classes); i++) {
-    if (zddTotalNumberSwapping >= table->siftMaxSwap)
-        break;
-    xindex = var[i];
-    if (sifted[xindex] == 1) /* variable already sifted as part of group */
-        continue;
-        x = table->permZ[xindex]; /* find current level of this variable */
-    if (x < lower || x > upper)
-        continue;
-#ifdef DD_STATS
-    previousSize = table->keysZ;
-#endif
-#ifdef DD_DEBUG
-    /* x is bottom of group */
-        assert((unsigned) x >= table->subtableZ[x].next);
-#endif
-    result = zddGroupSiftingAux(table,x,lower,upper);
-    if (!result) goto zddGroupSiftingOutOfMem;
-
-#ifdef DD_STATS
-    if (table->keysZ < previousSize) {
-        (void) fprintf(table->out,"-");
-    } else if (table->keysZ > previousSize) {
-        (void) fprintf(table->out,"+");
-    } else {
-        (void) fprintf(table->out,"=");
-    }
-    fflush(table->out);
-#endif
-
-    /* Mark variables in the group just sifted. */
-    x = table->permZ[xindex];
-    if ((unsigned) x != table->subtableZ[x].next) {
-        xInit = x;
-        do {
-        j = table->invpermZ[x];
-        sifted[j] = 1;
-        x = table->subtableZ[x].next;
-        } while (x != xInit);
-    }
-
-#ifdef DD_DEBUG
-    if (pr > 0) (void) fprintf(table->out,"zddGroupSifting:");
-#endif
-    } /* for */
-
-    FREE(sifted);
-    FREE(var);
-    FREE(entry);
-
-    return(1);
-
-zddGroupSiftingOutOfMem:
-    if (entry != NULL)    FREE(entry);
-    if (var != NULL)    FREE(var);
-    if (sifted != NULL)    FREE(sifted);
-
-    return(0);
-
-} /* end of zddGroupSifting */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sifts one variable up and down until it has taken all
-  positions. Checks for aggregation.]
-
-  Description [Sifts one variable up and down until it has taken all
-  positions. Checks for aggregation. There may be at most two sweeps,
-  even if the group grows.  Assumes that x is either an isolated
-  variable, or it is the bottom of a group. All groups may not have
-  been found. The variable being moved is returned to the best position
-  seen during sifting.  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-zddGroupSiftingAux(
-  DdManager * table,
-  int  x,
-  int  xLow,
-  int  xHigh)
-{
-    Move *move;
-    Move *moves;    /* list of moves */
-    int  initialSize;
-    int  result;
-
-
-#ifdef DD_DEBUG
-    if (pr > 0) (void) fprintf(table->out,"zddGroupSiftingAux from %d to %d\n",xLow,xHigh);
-    assert((unsigned) x >= table->subtableZ[x].next); /* x is bottom of group */
-#endif
-
-    initialSize = table->keysZ;
-    moves = NULL;
-
-    if (x == xLow) { /* Sift down */
-#ifdef DD_DEBUG
-    /* x must be a singleton */
-    assert((unsigned) x == table->subtableZ[x].next);
-#endif
-    if (x == xHigh) return(1);    /* just one variable */
-
-        if (!zddGroupSiftingDown(table,x,xHigh,&moves))
-            goto zddGroupSiftingAuxOutOfMem;
-    /* at this point x == xHigh, unless early term */
-
-    /* move backward and stop at best position */
-    result = zddGroupSiftingBackward(table,moves,initialSize);
-#ifdef DD_DEBUG
-    assert(table->keysZ <= (unsigned) initialSize);
-#endif
-        if (!result) goto zddGroupSiftingAuxOutOfMem;
-
-    } else if (cuddZddNextHigh(table,x) > xHigh) { /* Sift up */
-#ifdef DD_DEBUG
-    /* x is bottom of group */
-        assert((unsigned) x >= table->subtableZ[x].next);
-#endif
-        /* Find top of x's group */
-        x = table->subtableZ[x].next;
-
-        if (!zddGroupSiftingUp(table,x,xLow,&moves))
-            goto zddGroupSiftingAuxOutOfMem;
-    /* at this point x == xLow, unless early term */
-
-    /* move backward and stop at best position */
-    result = zddGroupSiftingBackward(table,moves,initialSize);
-#ifdef DD_DEBUG
-    assert(table->keysZ <= (unsigned) initialSize);
-#endif
-        if (!result) goto zddGroupSiftingAuxOutOfMem;
-
-    } else if (x - xLow > xHigh - x) { /* must go down first: shorter */
-        if (!zddGroupSiftingDown(table,x,xHigh,&moves))
-            goto zddGroupSiftingAuxOutOfMem;
-    /* at this point x == xHigh, unless early term */
-
-        /* Find top of group */
-    if (moves) {
-        x = moves->y;
-    }
-    while ((unsigned) x < table->subtableZ[x].next)
-        x = table->subtableZ[x].next;
-    x = table->subtableZ[x].next;
-#ifdef DD_DEBUG
-        /* x should be the top of a group */
-        assert((unsigned) x <= table->subtableZ[x].next);
-#endif
-
-        if (!zddGroupSiftingUp(table,x,xLow,&moves))
-            goto zddGroupSiftingAuxOutOfMem;
-
-    /* move backward and stop at best position */
-    result = zddGroupSiftingBackward(table,moves,initialSize);
-#ifdef DD_DEBUG
-    assert(table->keysZ <= (unsigned) initialSize);
-#endif
-        if (!result) goto zddGroupSiftingAuxOutOfMem;
-
-    } else { /* moving up first: shorter */
-        /* Find top of x's group */
-        x = table->subtableZ[x].next;
-
-        if (!zddGroupSiftingUp(table,x,xLow,&moves))
-            goto zddGroupSiftingAuxOutOfMem;
-    /* at this point x == xHigh, unless early term */
-
-        if (moves) {
-        x = moves->x;
-    }
-    while ((unsigned) x < table->subtableZ[x].next)
-        x = table->subtableZ[x].next;
-#ifdef DD_DEBUG
-        /* x is bottom of a group */
-        assert((unsigned) x >= table->subtableZ[x].next);
-#endif
-
-        if (!zddGroupSiftingDown(table,x,xHigh,&moves))
-            goto zddGroupSiftingAuxOutOfMem;
-
-    /* move backward and stop at best position */
-    result = zddGroupSiftingBackward(table,moves,initialSize);
-#ifdef DD_DEBUG
-    assert(table->keysZ <= (unsigned) initialSize);
-#endif
-        if (!result) goto zddGroupSiftingAuxOutOfMem;
-    }
-
-    while (moves != NULL) {
-        move = moves->next;
-        cuddDeallocNode(table, (DdNode *) moves);
-        moves = move;
-    }
-
-    return(1);
-
-zddGroupSiftingAuxOutOfMem:
-    while (moves != NULL) {
-        move = moves->next;
-        cuddDeallocNode(table, (DdNode *) moves);
-        moves = move;
-    }
-
-    return(0);
-
-} /* end of zddGroupSiftingAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sifts up a variable until either it reaches position xLow
-  or the size of the DD heap increases too much.]
-
-  Description [Sifts up a variable until either it reaches position
-  xLow or the size of the DD heap increases too much. Assumes that y is
-  the top of a group (or a singleton).  Checks y for aggregation to the
-  adjacent variables. Records all the moves that are appended to the
-  list of moves received as input and returned as a side effect.
-  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-zddGroupSiftingUp(
-  DdManager * table,
-  int  y,
-  int  xLow,
-  Move ** moves)
-{
-    Move *move;
-    int  x;
-    int  size;
-    int  gxtop;
-    int  limitSize;
-    int  xindex, yindex;
-
-    yindex = table->invpermZ[y];
-
-    limitSize = table->keysZ;
-
-    x = cuddZddNextLow(table,y);
-    while (x >= xLow) {
-        gxtop = table->subtableZ[x].next;
-        if (table->subtableZ[x].next == (unsigned) x &&
-        table->subtableZ[y].next == (unsigned) y) {
-            /* x and y are self groups */
-        xindex = table->invpermZ[x];
-            size = cuddZddSwapInPlace(table,x,y);
-#ifdef DD_DEBUG
-            assert(table->subtableZ[x].next == (unsigned) x);
-            assert(table->subtableZ[y].next == (unsigned) y);
-#endif
-            if (size == 0) goto zddGroupSiftingUpOutOfMem;
-            move = (Move *)cuddDynamicAllocNode(table);
-            if (move == NULL) goto zddGroupSiftingUpOutOfMem;
-            move->x = x;
-            move->y = y;
-        move->flags = MTR_DEFAULT;
-            move->size = size;
-            move->next = *moves;
-            *moves = move;
-
-#ifdef DD_DEBUG
-        if (pr > 0) (void) fprintf(table->out,"zddGroupSiftingUp (2 single groups):\n");
-#endif
-            if ((double) size > (double) limitSize * table->maxGrowth)
-        return(1);
-            if (size < limitSize) limitSize = size;
-        } else { /* group move */
-            size = zddGroupMove(table,x,y,moves);
-        if (size == 0) goto zddGroupSiftingUpOutOfMem;
-            if ((double) size > (double) limitSize * table->maxGrowth)
-        return(1);
-            if (size < limitSize) limitSize = size;
-        }
-        y = gxtop;
-        x = cuddZddNextLow(table,y);
-    }
-
-    return(1);
-
-zddGroupSiftingUpOutOfMem:
-    while (*moves != NULL) {
-        move = (*moves)->next;
-        cuddDeallocNode(table, (DdNode *) *moves);
-        *moves = move;
-    }
-    return(0);
-
-} /* end of zddGroupSiftingUp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sifts down a variable until it reaches position xHigh.]
-
-  Description [Sifts down a variable until it reaches position xHigh.
-  Assumes that x is the bottom of a group (or a singleton).  Records
-  all the moves.  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-zddGroupSiftingDown(
-  DdManager * table,
-  int  x,
-  int  xHigh,
-  Move ** moves)
-{
-    Move *move;
-    int  y;
-    int  size;
-    int  limitSize;
-    int  gxtop,gybot;
-    int  xindex;
-
-
-    /* Initialize R */
-    xindex = table->invpermZ[x];
-    gxtop = table->subtableZ[x].next;
-    limitSize = size = table->keysZ;
-    y = cuddZddNextHigh(table,x);
-    while (y <= xHigh) {
-    /* Find bottom of y group. */
-        gybot = table->subtableZ[y].next;
-        while (table->subtableZ[gybot].next != (unsigned) y)
-            gybot = table->subtableZ[gybot].next;
-
-        if (table->subtableZ[x].next == (unsigned) x &&
-        table->subtableZ[y].next == (unsigned) y) {
-            /* x and y are self groups */
-            size = cuddZddSwapInPlace(table,x,y);
-#ifdef DD_DEBUG
-            assert(table->subtableZ[x].next == (unsigned) x);
-            assert(table->subtableZ[y].next == (unsigned) y);
-#endif
-            if (size == 0) goto zddGroupSiftingDownOutOfMem;
-
-        /* Record move. */
-            move = (Move *) cuddDynamicAllocNode(table);
-            if (move == NULL) goto zddGroupSiftingDownOutOfMem;
-            move->x = x;
-            move->y = y;
-        move->flags = MTR_DEFAULT;
-            move->size = size;
-            move->next = *moves;
-            *moves = move;
-
-#ifdef DD_DEBUG
-            if (pr > 0) (void) fprintf(table->out,"zddGroupSiftingDown (2 single groups):\n");
-#endif
-            if ((double) size > (double) limitSize * table->maxGrowth)
-                return(1);
-            if (size < limitSize) limitSize = size;
-            x = y;
-            y = cuddZddNextHigh(table,x);
-        } else { /* Group move */
-            size = zddGroupMove(table,x,y,moves);
-            if (size == 0) goto zddGroupSiftingDownOutOfMem;
-            if ((double) size > (double) limitSize * table->maxGrowth)
-        return(1);
-            if (size < limitSize) limitSize = size;
-        }
-        x = gybot;
-        y = cuddZddNextHigh(table,x);
-    }
-
-    return(1);
-
-zddGroupSiftingDownOutOfMem:
-    while (*moves != NULL) {
-        move = (*moves)->next;
-        cuddDeallocNode(table, (DdNode *) *moves);
-        *moves = move;
-    }
-
-    return(0);
-
-} /* end of zddGroupSiftingDown */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Swaps two groups and records the move.]
-
-  Description [Swaps two groups and records the move. Returns the
-  number of keys in the DD table in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-zddGroupMove(
-  DdManager * table,
-  int  x,
-  int  y,
-  Move ** moves)
-{
-    Move *move;
-    int  size;
-    int  i,j,xtop,xbot,xsize,ytop,ybot,ysize,newxtop;
-    int  swapx,swapy;
-#if defined(DD_DEBUG) && defined(DD_VERBOSE)
-    int  initialSize,bestSize;
-#endif
-
-#if DD_DEBUG
-    /* We assume that x < y */
-    assert(x < y);
-#endif
-    /* Find top, bottom, and size for the two groups. */
-    xbot = x;
-    xtop = table->subtableZ[x].next;
-    xsize = xbot - xtop + 1;
-    ybot = y;
-    while ((unsigned) ybot < table->subtableZ[ybot].next)
-        ybot = table->subtableZ[ybot].next;
-    ytop = y;
-    ysize = ybot - ytop + 1;
-
-#if defined(DD_DEBUG) && defined(DD_VERBOSE)
-    initialSize = bestSize = table->keysZ;
-#endif
-    /* Sift the variables of the second group up through the first group */
-    for (i = 1; i <= ysize; i++) {
-        for (j = 1; j <= xsize; j++) {
-            size = cuddZddSwapInPlace(table,x,y);
-            if (size == 0) goto zddGroupMoveOutOfMem;
-#if defined(DD_DEBUG) && defined(DD_VERBOSE)
-        if (size < bestSize)
-        bestSize = size;
-#endif
-            swapx = x; swapy = y;
-            y = x;
-            x = cuddZddNextLow(table,y);
-        }
-        y = ytop + i;
-        x = cuddZddNextLow(table,y);
-    }
-#if defined(DD_DEBUG) && defined(DD_VERBOSE)
-    if ((bestSize < initialSize) && (bestSize < size))
-    (void) fprintf(table->out,"Missed local minimum: initialSize:%d  bestSize:%d  finalSize:%d\n",initialSize,bestSize,size);
-#endif
-
-    /* fix groups */
-    y = xtop; /* ytop is now where xtop used to be */
-    for (i = 0; i < ysize - 1; i++) {
-        table->subtableZ[y].next = cuddZddNextHigh(table,y);
-        y = cuddZddNextHigh(table,y);
-    }
-    table->subtableZ[y].next = xtop; /* y is bottom of its group, join */
-                                    /* it to top of its group */
-    x = cuddZddNextHigh(table,y);
-    newxtop = x;
-    for (i = 0; i < xsize - 1; i++) {
-        table->subtableZ[x].next = cuddZddNextHigh(table,x);
-        x = cuddZddNextHigh(table,x);
-    }
-    table->subtableZ[x].next = newxtop; /* x is bottom of its group, join */
-                                    /* it to top of its group */
-#ifdef DD_DEBUG
-    if (pr > 0) (void) fprintf(table->out,"zddGroupMove:\n");
-#endif
-
-    /* Store group move */
-    move = (Move *) cuddDynamicAllocNode(table);
-    if (move == NULL) goto zddGroupMoveOutOfMem;
-    move->x = swapx;
-    move->y = swapy;
-    move->flags = MTR_DEFAULT;
-    move->size = table->keysZ;
-    move->next = *moves;
-    *moves = move;
-
-    return(table->keysZ);
-
-zddGroupMoveOutOfMem:
-    while (*moves != NULL) {
-        move = (*moves)->next;
-        cuddDeallocNode(table, (DdNode *) *moves);
-        *moves = move;
-    }
-    return(0);
-
-} /* end of zddGroupMove */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Undoes the swap two groups.]
-
-  Description [Undoes the swap two groups.  Returns 1 in case of
-  success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-zddGroupMoveBackward(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    int size;
-    int i,j,xtop,xbot,xsize,ytop,ybot,ysize,newxtop;
-
-
-#if DD_DEBUG
-    /* We assume that x < y */
-    assert(x < y);
-#endif
-
-    /* Find top, bottom, and size for the two groups. */
-    xbot = x;
-    xtop = table->subtableZ[x].next;
-    xsize = xbot - xtop + 1;
-    ybot = y;
-    while ((unsigned) ybot < table->subtableZ[ybot].next)
-        ybot = table->subtableZ[ybot].next;
-    ytop = y;
-    ysize = ybot - ytop + 1;
-
-    /* Sift the variables of the second group up through the first group */
-    for (i = 1; i <= ysize; i++) {
-        for (j = 1; j <= xsize; j++) {
-            size = cuddZddSwapInPlace(table,x,y);
-            if (size == 0)
-                return(0);
-            y = x;
-            x = cuddZddNextLow(table,y);
-        }
-        y = ytop + i;
-        x = cuddZddNextLow(table,y);
-    }
-
-    /* fix groups */
-    y = xtop;
-    for (i = 0; i < ysize - 1; i++) {
-        table->subtableZ[y].next = cuddZddNextHigh(table,y);
-        y = cuddZddNextHigh(table,y);
-    }
-    table->subtableZ[y].next = xtop; /* y is bottom of its group, join */
-                                    /* to its top */
-    x = cuddZddNextHigh(table,y);
-    newxtop = x;
-    for (i = 0; i < xsize - 1; i++) {
-        table->subtableZ[x].next = cuddZddNextHigh(table,x);
-        x = cuddZddNextHigh(table,x);
-    }
-    table->subtableZ[x].next = newxtop; /* x is bottom of its group, join */
-                                    /* to its top */
-#ifdef DD_DEBUG
-    if (pr > 0) (void) fprintf(table->out,"zddGroupMoveBackward:\n");
-#endif
-
-    return(1);
-
-} /* end of zddGroupMoveBackward */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Determines the best position for a variables and returns
-  it there.]
-
-  Description [Determines the best position for a variables and returns
-  it there.  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-zddGroupSiftingBackward(
-  DdManager * table,
-  Move * moves,
-  int  size)
-{
-    Move *move;
-    int  res;
-
-
-    for (move = moves; move != NULL; move = move->next) {
-        if (move->size < size) {
-            size = move->size;
-        }
-    }
-
-    for (move = moves; move != NULL; move = move->next) {
-        if (move->size == size) return(1);
-        if ((table->subtableZ[move->x].next == move->x) &&
-    (table->subtableZ[move->y].next == move->y)) {
-            res = cuddZddSwapInPlace(table,(int)move->x,(int)move->y);
-            if (!res) return(0);
-#ifdef DD_DEBUG
-            if (pr > 0) (void) fprintf(table->out,"zddGroupSiftingBackward:\n");
-            assert(table->subtableZ[move->x].next == move->x);
-            assert(table->subtableZ[move->y].next == move->y);
-#endif
-        } else { /* Group move necessary */
-        res = zddGroupMoveBackward(table,(int)move->x,(int)move->y);
-        if (!res) return(0);
-        }
-    }
-
-    return(1);
-
-} /* end of zddGroupSiftingBackward */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Merges groups in the DD table.]
-
-  Description [Creates a single group from low to high and adjusts the
-  idex field of the tree node.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static void
-zddMergeGroups(
-  DdManager * table,
-  MtrNode * treenode,
-  int  low,
-  int  high)
-{
-    int i;
-    MtrNode *auxnode;
-    int saveindex;
-    int newindex;
-
-    /* Merge all variables from low to high in one group, unless
-    ** this is the topmost group. In such a case we do not merge lest
-    ** we lose the symmetry information. */
-    if (treenode != table->treeZ) {
-    for (i = low; i < high; i++)
-        table->subtableZ[i].next = i+1;
-    table->subtableZ[high].next = low;
-    }
-
-    /* Adjust the index fields of the tree nodes. If a node is the
-    ** first child of its parent, then the parent may also need adjustment. */
-    saveindex = treenode->index;
-    newindex = table->invpermZ[low];
-    auxnode = treenode;
-    do {
-    auxnode->index = newindex;
-    if (auxnode->parent == NULL ||
-        (int) auxnode->parent->index != saveindex)
-        break;
-    auxnode = auxnode->parent;
-    } while (1);
-    return;
-
-} /* end of zddMergeGroups */
-
diff --git a/src/bdd/cudd/cuddZddIsop.c b/src/bdd/cudd/cuddZddIsop.c
deleted file mode 100644
index f4b057ea..00000000
--- a/src/bdd/cudd/cuddZddIsop.c
+++ /dev/null
@@ -1,885 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddZddIsop.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions to find irredundant SOP covers as ZDDs from BDDs.]
-
-  Description [External procedures included in this module:
-            <ul>
-            <li> Cudd_bddIsop()
-            <li> Cudd_zddIsop()
-            <li> Cudd_MakeBddFromZddCover()
-            </ul>
-           Internal procedures included in this module:
-            <ul>
-            <li> cuddBddIsop()
-            <li> cuddZddIsop()
-            <li> cuddMakeBddFromZddCover()
-            </ul>
-           Static procedures included in this module:
-            <ul>
-            </ul>
-          ]
-
-  SeeAlso     []
-
-  Author      [In-Ho Moon]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddZddIsop.c,v 1.1.1.1 2003/02/24 22:23:54 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticEnd***************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/**Function********************************************************************
-
-  Synopsis    [Computes an ISOP in ZDD form from BDDs.]
-
-  Description [Computes an irredundant sum of products (ISOP) in ZDD
-  form from BDDs. The two BDDs L and U represent the lower bound and
-  the upper bound, respectively, of the function. The ISOP uses two
-  ZDD variables for each BDD variable: One for the positive literal,
-  and one for the negative literal. These two variables should be
-  adjacent in the ZDD order. The two ZDD variables corresponding to
-  BDD variable <code>i</code> should have indices <code>2i</code> and
-  <code>2i+1</code>.  The result of this procedure depends on the
-  variable order. If successful, Cudd_zddIsop returns the BDD for
-  the function chosen from the interval. The ZDD representing the
-  irredundant cover is returned as a side effect in zdd_I. In case of
-  failure, NULL is returned.]
-
-  SideEffects [zdd_I holds the pointer to the ZDD for the ISOP on
-  successful return.]
-
-  SeeAlso     [Cudd_bddIsop Cudd_zddVarsFromBddVars]
-
-******************************************************************************/
-DdNode    *
-Cudd_zddIsop(
-  DdManager * dd,
-  DdNode * L,
-  DdNode * U,
-  DdNode ** zdd_I)
-{
-    DdNode    *res;
-    int        autoDynZ;
-
-    autoDynZ = dd->autoDynZ;
-    dd->autoDynZ = 0;
-
-    do {
-    dd->reordered = 0;
-    res = cuddZddIsop(dd, L, U, zdd_I);
-    } while (dd->reordered == 1);
-    dd->autoDynZ = autoDynZ;
-    return(res);
-
-} /* end of Cudd_zddIsop */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Computes a BDD in the interval between L and U with a
-  simple sum-of-produuct cover.]
-
-  Description [Computes a BDD in the interval between L and U with a
-  simple sum-of-produuct cover. This procedure is similar to
-  Cudd_zddIsop, but it does not return the ZDD for the cover. Returns
-  a pointer to the BDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddIsop]
-
-******************************************************************************/
-DdNode    *
-Cudd_bddIsop(
-  DdManager * dd,
-  DdNode * L,
-  DdNode * U)
-{
-    DdNode    *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddBddIsop(dd, L, U);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_bddIsop */
-
-
-/**Function********************************************************************
-
-  Synopsis [Converts a ZDD cover to a BDD graph.]
-
-  Description [Converts a ZDD cover to a BDD graph. If successful, it
-  returns a BDD node, otherwise it returns NULL.]
-
-  SideEffects []
-
-  SeeAlso     [cuddMakeBddFromZddCover]
-
-******************************************************************************/
-DdNode    *
-Cudd_MakeBddFromZddCover(
-  DdManager * dd,
-  DdNode * node)
-{
-    DdNode    *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddMakeBddFromZddCover(dd, node);
-    } while (dd->reordered == 1);
-    return(res);
-} /* end of Cudd_MakeBddFromZddCover */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Performs the recursive step of Cudd_zddIsop.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddIsop]
-
-******************************************************************************/
-DdNode    *
-cuddZddIsop(
-  DdManager * dd,
-  DdNode * L,
-  DdNode * U,
-  DdNode ** zdd_I)
-{
-    DdNode    *one = DD_ONE(dd);
-    DdNode    *zero = Cudd_Not(one);
-    DdNode    *zdd_one = DD_ONE(dd);
-    DdNode    *zdd_zero = DD_ZERO(dd);
-    int        v, top_l, top_u;
-    DdNode    *Lsub0, *Usub0, *Lsub1, *Usub1, *Ld, *Ud;
-    DdNode    *Lsuper0, *Usuper0, *Lsuper1, *Usuper1;
-    DdNode    *Isub0, *Isub1, *Id;
-    DdNode    *zdd_Isub0, *zdd_Isub1, *zdd_Id;
-    DdNode    *x;
-    DdNode    *term0, *term1, *sum;
-    DdNode    *Lv, *Uv, *Lnv, *Unv;
-    DdNode    *r, *y, *z;
-    int        index;
-    DdNode *(*cacheOp)(DdManager *, DdNode *, DdNode *);
-
-    statLine(dd);
-    if (L == zero) {
-    *zdd_I = zdd_zero;
-        return(zero);
-    }
-    if (U == one) {
-    *zdd_I = zdd_one;
-        return(one);
-    }
-
-    if (U == zero || L == one) {
-    printf("*** ERROR : illegal condition for ISOP (U < L).\n");
-    exit(1);
-    }
-
-    /* Check the cache. We store two results for each recursive call.
-    ** One is the BDD, and the other is the ZDD. Both are needed.
-    ** Hence we need a double hit in the cache to terminate the
-    ** recursion. Clearly, collisions may evict only one of the two
-    ** results. */
-    cacheOp = (DdNode *(*)(DdManager *, DdNode *, DdNode *)) cuddZddIsop;
-    r = cuddCacheLookup2(dd, cuddBddIsop, L, U);
-    if (r) {
-    *zdd_I = cuddCacheLookup2Zdd(dd, cacheOp, L, U);
-    if (*zdd_I)
-        return(r);
-    else {
-        /* The BDD result may have been dead. In that case
-        ** cuddCacheLookup2 would have called cuddReclaim,
-        ** whose effects we now have to undo. */
-        cuddRef(r);
-        Cudd_RecursiveDeref(dd, r);
-    }
-    }
-
-    top_l = dd->perm[Cudd_Regular(L)->index];
-    top_u = dd->perm[Cudd_Regular(U)->index];
-    v = ddMin(top_l, top_u);
-
-    /* Compute cofactors. */
-    if (top_l == v) {
-    index = Cudd_Regular(L)->index;
-        Lv = Cudd_T(L);
-        Lnv = Cudd_E(L);
-        if (Cudd_IsComplement(L)) {
-            Lv = Cudd_Not(Lv);
-            Lnv = Cudd_Not(Lnv);
-        }
-    }
-    else {
-    index = Cudd_Regular(U)->index;
-        Lv = Lnv = L;
-    }
-
-    if (top_u == v) {
-        Uv = Cudd_T(U);
-        Unv = Cudd_E(U);
-        if (Cudd_IsComplement(U)) {
-            Uv = Cudd_Not(Uv);
-            Unv = Cudd_Not(Unv);
-        }
-    }
-    else {
-        Uv = Unv = U;
-    }
-
-    Lsub0 = cuddBddAndRecur(dd, Lnv, Cudd_Not(Uv));
-    if (Lsub0 == NULL)
-    return(NULL);
-    Cudd_Ref(Lsub0);
-    Usub0 = Unv;
-    Lsub1 = cuddBddAndRecur(dd, Lv, Cudd_Not(Unv));
-    if (Lsub1 == NULL) {
-    Cudd_RecursiveDeref(dd, Lsub0);
-    return(NULL);
-    }
-    Cudd_Ref(Lsub1);
-    Usub1 = Uv;
-
-    Isub0 = cuddZddIsop(dd, Lsub0, Usub0, &zdd_Isub0);
-    if (Isub0 == NULL) {
-    Cudd_RecursiveDeref(dd, Lsub0);
-    Cudd_RecursiveDeref(dd, Lsub1);
-    return(NULL);
-    }
-    /*
-    if ((!cuddIsConstant(Cudd_Regular(Isub0))) &&
-    (Cudd_Regular(Isub0)->index != zdd_Isub0->index / 2 ||
-    dd->permZ[index * 2] > dd->permZ[zdd_Isub0->index])) {
-    printf("*** ERROR : illegal permutation in ZDD. ***\n");
-    }
-    */
-    Cudd_Ref(Isub0);
-    Cudd_Ref(zdd_Isub0);
-    Isub1 = cuddZddIsop(dd, Lsub1, Usub1, &zdd_Isub1);
-    if (Isub1 == NULL) {
-    Cudd_RecursiveDeref(dd, Lsub0);
-    Cudd_RecursiveDeref(dd, Lsub1);
-    Cudd_RecursiveDeref(dd, Isub0);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub0);
-    return(NULL);
-    }
-    /*
-    if ((!cuddIsConstant(Cudd_Regular(Isub1))) &&
-    (Cudd_Regular(Isub1)->index != zdd_Isub1->index / 2 ||
-    dd->permZ[index * 2] > dd->permZ[zdd_Isub1->index])) {
-    printf("*** ERROR : illegal permutation in ZDD. ***\n");
-    }
-    */
-    Cudd_Ref(Isub1);
-    Cudd_Ref(zdd_Isub1);
-    Cudd_RecursiveDeref(dd, Lsub0);
-    Cudd_RecursiveDeref(dd, Lsub1);
-
-    Lsuper0 = cuddBddAndRecur(dd, Lnv, Cudd_Not(Isub0));
-    if (Lsuper0 == NULL) {
-    Cudd_RecursiveDeref(dd, Isub0);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub0);
-    Cudd_RecursiveDeref(dd, Isub1);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub1);
-    return(NULL);
-    }
-    Cudd_Ref(Lsuper0);
-    Lsuper1 = cuddBddAndRecur(dd, Lv, Cudd_Not(Isub1));
-    if (Lsuper1 == NULL) {
-    Cudd_RecursiveDeref(dd, Isub0);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub0);
-    Cudd_RecursiveDeref(dd, Isub1);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub1);
-    Cudd_RecursiveDeref(dd, Lsuper0);
-    return(NULL);
-    }
-    Cudd_Ref(Lsuper1);
-    Usuper0 = Unv;
-    Usuper1 = Uv;
-
-    /* Ld = Lsuper0 + Lsuper1 */
-    Ld = cuddBddAndRecur(dd, Cudd_Not(Lsuper0), Cudd_Not(Lsuper1));
-    if (Ld == NULL) {
-    Cudd_RecursiveDeref(dd, Isub0);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub0);
-    Cudd_RecursiveDeref(dd, Isub1);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub1);
-    Cudd_RecursiveDeref(dd, Lsuper0);
-    Cudd_RecursiveDeref(dd, Lsuper1);
-    return(NULL);
-    }
-    Ld = Cudd_Not(Ld);
-    Cudd_Ref(Ld);
-    /* Ud = Usuper0 * Usuper1 */
-    Ud = cuddBddAndRecur(dd, Usuper0, Usuper1);
-    if (Ud == NULL) {
-    Cudd_RecursiveDeref(dd, Isub0);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub0);
-    Cudd_RecursiveDeref(dd, Isub1);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub1);
-    Cudd_RecursiveDeref(dd, Lsuper0);
-    Cudd_RecursiveDeref(dd, Lsuper1);
-    Cudd_RecursiveDeref(dd, Ld);
-    return(NULL);
-    }
-    Cudd_Ref(Ud);
-    Cudd_RecursiveDeref(dd, Lsuper0);
-    Cudd_RecursiveDeref(dd, Lsuper1);
-
-    Id = cuddZddIsop(dd, Ld, Ud, &zdd_Id);
-    if (Id == NULL) {
-    Cudd_RecursiveDeref(dd, Isub0);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub0);
-    Cudd_RecursiveDeref(dd, Isub1);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub1);
-    Cudd_RecursiveDeref(dd, Ld);
-    Cudd_RecursiveDeref(dd, Ud);
-    return(NULL);
-    }
-    /*
-    if ((!cuddIsConstant(Cudd_Regular(Id))) &&
-    (Cudd_Regular(Id)->index != zdd_Id->index / 2 ||
-    dd->permZ[index * 2] > dd->permZ[zdd_Id->index])) {
-    printf("*** ERROR : illegal permutation in ZDD. ***\n");
-    }
-    */
-    Cudd_Ref(Id);
-    Cudd_Ref(zdd_Id);
-    Cudd_RecursiveDeref(dd, Ld);
-    Cudd_RecursiveDeref(dd, Ud);
-
-    x = cuddUniqueInter(dd, index, one, zero);
-    if (x == NULL) {
-    Cudd_RecursiveDeref(dd, Isub0);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub0);
-    Cudd_RecursiveDeref(dd, Isub1);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub1);
-    Cudd_RecursiveDeref(dd, Id);
-    Cudd_RecursiveDerefZdd(dd, zdd_Id);
-    return(NULL);
-    }
-    Cudd_Ref(x);
-    /* term0 = x * Isub0 */
-    term0 = cuddBddAndRecur(dd, Cudd_Not(x), Isub0);
-    if (term0 == NULL) {
-    Cudd_RecursiveDeref(dd, Isub0);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub0);
-    Cudd_RecursiveDeref(dd, Isub1);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub1);
-    Cudd_RecursiveDeref(dd, Id);
-    Cudd_RecursiveDerefZdd(dd, zdd_Id);
-    Cudd_RecursiveDeref(dd, x);
-    return(NULL);
-    }
-    Cudd_Ref(term0);
-    Cudd_RecursiveDeref(dd, Isub0);
-    /* term1 = x * Isub1 */
-    term1 = cuddBddAndRecur(dd, x, Isub1);
-    if (term1 == NULL) {
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub0);
-    Cudd_RecursiveDeref(dd, Isub1);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub1);
-    Cudd_RecursiveDeref(dd, Id);
-    Cudd_RecursiveDerefZdd(dd, zdd_Id);
-    Cudd_RecursiveDeref(dd, x);
-    Cudd_RecursiveDeref(dd, term0);
-    return(NULL);
-    }
-    Cudd_Ref(term1);
-    Cudd_RecursiveDeref(dd, x);
-    Cudd_RecursiveDeref(dd, Isub1);
-    /* sum = term0 + term1 */
-    sum = cuddBddAndRecur(dd, Cudd_Not(term0), Cudd_Not(term1));
-    if (sum == NULL) {
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub0);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub1);
-    Cudd_RecursiveDeref(dd, Id);
-    Cudd_RecursiveDerefZdd(dd, zdd_Id);
-    Cudd_RecursiveDeref(dd, term0);
-    Cudd_RecursiveDeref(dd, term1);
-    return(NULL);
-    }
-    sum = Cudd_Not(sum);
-    Cudd_Ref(sum);
-    Cudd_RecursiveDeref(dd, term0);
-    Cudd_RecursiveDeref(dd, term1);
-    /* r = sum + Id */
-    r = cuddBddAndRecur(dd, Cudd_Not(sum), Cudd_Not(Id));
-    r = Cudd_NotCond(r, r != NULL);
-    if (r == NULL) {
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub0);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub1);
-    Cudd_RecursiveDeref(dd, Id);
-    Cudd_RecursiveDerefZdd(dd, zdd_Id);
-    Cudd_RecursiveDeref(dd, sum);
-    return(NULL);
-    }
-    Cudd_Ref(r);
-    Cudd_RecursiveDeref(dd, sum);
-    Cudd_RecursiveDeref(dd, Id);
-
-    if (zdd_Isub0 != zdd_zero) {
-    z = cuddZddGetNodeIVO(dd, index * 2 + 1, zdd_Isub0, zdd_Id);
-    if (z == NULL) {
-        Cudd_RecursiveDerefZdd(dd, zdd_Isub0);
-        Cudd_RecursiveDerefZdd(dd, zdd_Isub1);
-        Cudd_RecursiveDerefZdd(dd, zdd_Id);
-        Cudd_RecursiveDeref(dd, r);
-        return(NULL);
-    }
-    }
-    else {
-    z = zdd_Id;
-    }
-    Cudd_Ref(z);
-    if (zdd_Isub1 != zdd_zero) {
-    y = cuddZddGetNodeIVO(dd, index * 2, zdd_Isub1, z);
-    if (y == NULL) {
-        Cudd_RecursiveDerefZdd(dd, zdd_Isub0);
-        Cudd_RecursiveDerefZdd(dd, zdd_Isub1);
-        Cudd_RecursiveDerefZdd(dd, zdd_Id);
-        Cudd_RecursiveDeref(dd, r);
-        Cudd_RecursiveDerefZdd(dd, z);
-        return(NULL);
-    }
-    }
-    else
-    y = z;
-    Cudd_Ref(y);
-
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub0);
-    Cudd_RecursiveDerefZdd(dd, zdd_Isub1);
-    Cudd_RecursiveDerefZdd(dd, zdd_Id);
-    Cudd_RecursiveDerefZdd(dd, z);
-
-    cuddCacheInsert2(dd, cuddBddIsop, L, U, r);
-    cuddCacheInsert2(dd, cacheOp, L, U, y);
-
-    Cudd_Deref(r);
-    Cudd_Deref(y);
-    *zdd_I = y;
-    /*
-    if (Cudd_Regular(r)->index != y->index / 2) {
-    printf("*** ERROR : mismatch in indices between BDD and ZDD. ***\n");
-    }
-    */
-    return(r);
-
-} /* end of cuddZddIsop */
-
-
-/**Function********************************************************************
-
-  Synopsis [Performs the recursive step of Cudd_bddIsop.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_bddIsop]
-
-******************************************************************************/
-DdNode    *
-cuddBddIsop(
-  DdManager * dd,
-  DdNode * L,
-  DdNode * U)
-{
-    DdNode    *one = DD_ONE(dd);
-    DdNode    *zero = Cudd_Not(one);
-    int        v, top_l, top_u;
-    DdNode    *Lsub0, *Usub0, *Lsub1, *Usub1, *Ld, *Ud;
-    DdNode    *Lsuper0, *Usuper0, *Lsuper1, *Usuper1;
-    DdNode    *Isub0, *Isub1, *Id;
-    DdNode    *x;
-    DdNode    *term0, *term1, *sum;
-    DdNode    *Lv, *Uv, *Lnv, *Unv;
-    DdNode    *r;
-    int        index;
-
-    statLine(dd);
-    if (L == zero)
-        return(zero);
-    if (U == one)
-        return(one);
-
-    /* Check cache */
-    r = cuddCacheLookup2(dd, cuddBddIsop, L, U);
-    if (r)
-        return(r);
-
-    top_l = dd->perm[Cudd_Regular(L)->index];
-    top_u = dd->perm[Cudd_Regular(U)->index];
-    v = ddMin(top_l, top_u);
-
-    /* Compute cofactors */
-    if (top_l == v) {
-    index = Cudd_Regular(L)->index;
-        Lv = Cudd_T(L);
-        Lnv = Cudd_E(L);
-        if (Cudd_IsComplement(L)) {
-            Lv = Cudd_Not(Lv);
-            Lnv = Cudd_Not(Lnv);
-        }
-    }
-    else {
-    index = Cudd_Regular(U)->index;
-        Lv = Lnv = L;
-    }
-
-    if (top_u == v) {
-        Uv = Cudd_T(U);
-        Unv = Cudd_E(U);
-        if (Cudd_IsComplement(U)) {
-            Uv = Cudd_Not(Uv);
-            Unv = Cudd_Not(Unv);
-        }
-    }
-    else {
-        Uv = Unv = U;
-    }
-
-    Lsub0 = cuddBddAndRecur(dd, Lnv, Cudd_Not(Uv));
-    if (Lsub0 == NULL)
-    return(NULL);
-    Cudd_Ref(Lsub0);
-    Usub0 = Unv;
-    Lsub1 = cuddBddAndRecur(dd, Lv, Cudd_Not(Unv));
-    if (Lsub1 == NULL) {
-    Cudd_RecursiveDeref(dd, Lsub0);
-    return(NULL);
-    }
-    Cudd_Ref(Lsub1);
-    Usub1 = Uv;
-
-    Isub0 = cuddBddIsop(dd, Lsub0, Usub0);
-    if (Isub0 == NULL) {
-    Cudd_RecursiveDeref(dd, Lsub0);
-    Cudd_RecursiveDeref(dd, Lsub1);
-    return(NULL);
-    }
-    Cudd_Ref(Isub0);
-    Isub1 = cuddBddIsop(dd, Lsub1, Usub1);
-    if (Isub1 == NULL) {
-    Cudd_RecursiveDeref(dd, Lsub0);
-    Cudd_RecursiveDeref(dd, Lsub1);
-    Cudd_RecursiveDeref(dd, Isub0);
-    return(NULL);
-    }
-    Cudd_Ref(Isub1);
-    Cudd_RecursiveDeref(dd, Lsub0);
-    Cudd_RecursiveDeref(dd, Lsub1);
-
-    Lsuper0 = cuddBddAndRecur(dd, Lnv, Cudd_Not(Isub0));
-    if (Lsuper0 == NULL) {
-    Cudd_RecursiveDeref(dd, Isub0);
-    Cudd_RecursiveDeref(dd, Isub1);
-    return(NULL);
-    }
-    Cudd_Ref(Lsuper0);
-    Lsuper1 = cuddBddAndRecur(dd, Lv, Cudd_Not(Isub1));
-    if (Lsuper1 == NULL) {
-    Cudd_RecursiveDeref(dd, Isub0);
-    Cudd_RecursiveDeref(dd, Isub1);
-    Cudd_RecursiveDeref(dd, Lsuper0);
-    return(NULL);
-    }
-    Cudd_Ref(Lsuper1);
-    Usuper0 = Unv;
-    Usuper1 = Uv;
-
-    /* Ld = Lsuper0 + Lsuper1 */
-    Ld = cuddBddAndRecur(dd, Cudd_Not(Lsuper0), Cudd_Not(Lsuper1));
-    Ld = Cudd_NotCond(Ld, Ld != NULL);
-    if (Ld == NULL) {
-    Cudd_RecursiveDeref(dd, Isub0);
-    Cudd_RecursiveDeref(dd, Isub1);
-    Cudd_RecursiveDeref(dd, Lsuper0);
-    Cudd_RecursiveDeref(dd, Lsuper1);
-    return(NULL);
-    }
-    Cudd_Ref(Ld);
-    Ud = cuddBddAndRecur(dd, Usuper0, Usuper1);
-    if (Ud == NULL) {
-    Cudd_RecursiveDeref(dd, Isub0);
-    Cudd_RecursiveDeref(dd, Isub1);
-    Cudd_RecursiveDeref(dd, Lsuper0);
-    Cudd_RecursiveDeref(dd, Lsuper1);
-    Cudd_RecursiveDeref(dd, Ld);
-    return(NULL);
-    }
-    Cudd_Ref(Ud);
-    Cudd_RecursiveDeref(dd, Lsuper0);
-    Cudd_RecursiveDeref(dd, Lsuper1);
-
-    Id = cuddBddIsop(dd, Ld, Ud);
-    if (Id == NULL) {
-    Cudd_RecursiveDeref(dd, Isub0);
-    Cudd_RecursiveDeref(dd, Isub1);
-    Cudd_RecursiveDeref(dd, Ld);
-    Cudd_RecursiveDeref(dd, Ud);
-    return(NULL);
-    }
-    Cudd_Ref(Id);
-    Cudd_RecursiveDeref(dd, Ld);
-    Cudd_RecursiveDeref(dd, Ud);
-
-    x = cuddUniqueInter(dd, index, one, zero);
-    if (x == NULL) {
-    Cudd_RecursiveDeref(dd, Isub0);
-    Cudd_RecursiveDeref(dd, Isub1);
-    Cudd_RecursiveDeref(dd, Id);
-    return(NULL);
-    }
-    Cudd_Ref(x);
-    term0 = cuddBddAndRecur(dd, Cudd_Not(x), Isub0);
-    if (term0 == NULL) {
-    Cudd_RecursiveDeref(dd, Isub0);
-    Cudd_RecursiveDeref(dd, Isub1);
-    Cudd_RecursiveDeref(dd, Id);
-    Cudd_RecursiveDeref(dd, x);
-    return(NULL);
-    }
-    Cudd_Ref(term0);
-    Cudd_RecursiveDeref(dd, Isub0);
-    term1 = cuddBddAndRecur(dd, x, Isub1);
-    if (term1 == NULL) {
-    Cudd_RecursiveDeref(dd, Isub1);
-    Cudd_RecursiveDeref(dd, Id);
-    Cudd_RecursiveDeref(dd, x);
-    Cudd_RecursiveDeref(dd, term0);
-    return(NULL);
-    }
-    Cudd_Ref(term1);
-    Cudd_RecursiveDeref(dd, x);
-    Cudd_RecursiveDeref(dd, Isub1);
-    /* sum = term0 + term1 */
-    sum = cuddBddAndRecur(dd, Cudd_Not(term0), Cudd_Not(term1));
-    sum = Cudd_NotCond(sum, sum != NULL);
-    if (sum == NULL) {
-    Cudd_RecursiveDeref(dd, Id);
-    Cudd_RecursiveDeref(dd, term0);
-    Cudd_RecursiveDeref(dd, term1);
-    return(NULL);
-    }
-    Cudd_Ref(sum);
-    Cudd_RecursiveDeref(dd, term0);
-    Cudd_RecursiveDeref(dd, term1);
-    /* r = sum + Id */
-    r = cuddBddAndRecur(dd, Cudd_Not(sum), Cudd_Not(Id));
-    r = Cudd_NotCond(r, r != NULL);
-    if (r == NULL) {
-    Cudd_RecursiveDeref(dd, Id);
-    Cudd_RecursiveDeref(dd, sum);
-    return(NULL);
-    }
-    Cudd_Ref(r);
-    Cudd_RecursiveDeref(dd, sum);
-    Cudd_RecursiveDeref(dd, Id);
-
-    cuddCacheInsert2(dd, cuddBddIsop, L, U, r);
-
-    Cudd_Deref(r);
-    return(r);
-
-} /* end of cuddBddIsop */
-
-
-/**Function********************************************************************
-
-  Synopsis [Converts a ZDD cover to a BDD graph.]
-
-  Description [Converts a ZDD cover to a BDD graph. If successful, it
-  returns a BDD node, otherwise it returns NULL. It is a recursive
-  algorithm as the following. First computes 3 cofactors of a ZDD cover;
-  f1, f0 and fd. Second, compute BDDs(b1, b0 and bd) of f1, f0 and fd.
-  Third, compute T=b1+bd and E=b0+bd. Fourth, compute ITE(v,T,E) where v
-  is the variable which has the index of the top node of the ZDD cover.
-  In this case, since the index of v can be larger than either one of T or
-  one of E, cuddUniqueInterIVO is called, here IVO stands for
-  independent variable ordering.]
-
-  SideEffects []
-
-  SeeAlso     [Cudd_MakeBddFromZddCover]
-
-******************************************************************************/
-DdNode    *
-cuddMakeBddFromZddCover(
-  DdManager * dd,
-  DdNode * node)
-{
-    DdNode    *neW;
-    int        v;
-    DdNode    *f1, *f0, *fd;
-    DdNode    *b1, *b0, *bd;
-    DdNode    *T, *E;
-
-    statLine(dd);
-    if (node == dd->one)
-    return(dd->one);
-    if (node == dd->zero)
-    return(Cudd_Not(dd->one));
-
-    /* Check cache */
-    neW = cuddCacheLookup1(dd, cuddMakeBddFromZddCover, node);
-    if (neW)
-    return(neW);
-
-    v = Cudd_Regular(node)->index;    /* either yi or zi */
-    cuddZddGetCofactors3(dd, node, v, &f1, &f0, &fd);
-    Cudd_Ref(f1);
-    Cudd_Ref(f0);
-    Cudd_Ref(fd);
-
-    b1 = cuddMakeBddFromZddCover(dd, f1);
-    if (!b1) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    return(NULL);
-    }
-    Cudd_Ref(b1);
-    b0 = cuddMakeBddFromZddCover(dd, f0);
-    if (!b1) {
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    Cudd_RecursiveDerefZdd(dd, fd);
-    Cudd_RecursiveDeref(dd, b1);
-    return(NULL);
-    }
-    Cudd_Ref(b0);
-    Cudd_RecursiveDerefZdd(dd, f1);
-    Cudd_RecursiveDerefZdd(dd, f0);
-    if (fd != dd->zero) {
-    bd = cuddMakeBddFromZddCover(dd, fd);
-    if (!bd) {
-        Cudd_RecursiveDerefZdd(dd, fd);
-        Cudd_RecursiveDeref(dd, b1);
-        Cudd_RecursiveDeref(dd, b0);
-        return(NULL);
-    }
-    Cudd_Ref(bd);
-    Cudd_RecursiveDerefZdd(dd, fd);
-
-    T = cuddBddAndRecur(dd, Cudd_Not(b1), Cudd_Not(bd));
-    if (!T) {
-        Cudd_RecursiveDeref(dd, b1);
-        Cudd_RecursiveDeref(dd, b0);
-        Cudd_RecursiveDeref(dd, bd);
-        return(NULL);
-    }
-    T = Cudd_NotCond(T, T != NULL);
-    Cudd_Ref(T);
-    Cudd_RecursiveDeref(dd, b1);
-    E = cuddBddAndRecur(dd, Cudd_Not(b0), Cudd_Not(bd));
-    if (!E) {
-        Cudd_RecursiveDeref(dd, b0);
-        Cudd_RecursiveDeref(dd, bd);
-        Cudd_RecursiveDeref(dd, T);
-        return(NULL);
-    }
-    E = Cudd_NotCond(E, E != NULL);
-    Cudd_Ref(E);
-    Cudd_RecursiveDeref(dd, b0);
-    Cudd_RecursiveDeref(dd, bd);
-    }
-    else {
-    Cudd_RecursiveDerefZdd(dd, fd);
-    T = b1;
-    E = b0;
-    }
-
-    if (Cudd_IsComplement(T)) {
-    neW = cuddUniqueInterIVO(dd, v / 2, Cudd_Not(T), Cudd_Not(E));
-    if (!neW) {
-        Cudd_RecursiveDeref(dd, T);
-        Cudd_RecursiveDeref(dd, E);
-        return(NULL);
-    }
-    neW = Cudd_Not(neW);
-    }
-    else {
-    neW = cuddUniqueInterIVO(dd, v / 2, T, E);
-    if (!neW) {
-        Cudd_RecursiveDeref(dd, T);
-        Cudd_RecursiveDeref(dd, E);
-        return(NULL);
-    }
-    }
-    Cudd_Ref(neW);
-    Cudd_RecursiveDeref(dd, T);
-    Cudd_RecursiveDeref(dd, E);
-
-    cuddCacheInsert1(dd, cuddMakeBddFromZddCover, node, neW);
-    Cudd_Deref(neW);
-    return(neW);
-
-} /* end of cuddMakeBddFromZddCover */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
diff --git a/src/bdd/cudd/cuddZddLin.c b/src/bdd/cudd/cuddZddLin.c
deleted file mode 100644
index ef2cd298..00000000
--- a/src/bdd/cudd/cuddZddLin.c
+++ /dev/null
@@ -1,939 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddZddLin.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Procedures for dynamic variable ordering of ZDDs.]
-
-  Description [Internal procedures included in this module:
-            <ul>
-            <li> cuddZddLinearSifting()
-            </ul>
-           Static procedures included in this module:
-            <ul>
-            <li> cuddZddLinearInPlace()
-            <li> cuddZddLinerAux()
-            <li> cuddZddLinearUp()
-            <li> cuddZddLinearDown()
-            <li> cuddZddLinearBackward()
-            <li> cuddZddUndoMoves()
-            </ul>
-          ]
-
-  SeeAlso     [cuddLinear.c cuddZddReord.c]
-
-  Author      [Fabio Somenzi]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#define CUDD_SWAP_MOVE 0
-#define CUDD_LINEAR_TRANSFORM_MOVE 1
-#define CUDD_INVERSE_TRANSFORM_MOVE 2
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddZddLin.c,v 1.1.1.1 2003/02/24 22:23:54 wjiang Exp $";
-#endif
-
-extern  int    *zdd_entry;
-extern    int    zddTotalNumberSwapping;
-static    int    zddTotalNumberLinearTr;
-static  DdNode    *empty;
-
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int cuddZddLinearAux ARGS((DdManager *table, int x, int xLow, int xHigh));
-static Move * cuddZddLinearUp ARGS((DdManager *table, int y, int xLow, Move *prevMoves));
-static Move * cuddZddLinearDown ARGS((DdManager *table, int x, int xHigh, Move *prevMoves));
-static int cuddZddLinearBackward ARGS((DdManager *table, int size, Move *moves));
-static Move* cuddZddUndoMoves ARGS((DdManager *table, Move *moves));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implementation of the linear sifting algorithm for ZDDs.]
-
-  Description [Implementation of the linear sifting algorithm for ZDDs.
-  Assumes that no dead nodes are present.
-    <ol>
-    <li> Order all the variables according to the number of entries
-    in each unique table.
-    <li> Sift the variable up and down and applies the XOR transformation,
-    remembering each time the total size of the DD heap.
-    <li> Select the best permutation.
-    <li> Repeat 3 and 4 for all variables.
-    </ol>
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddZddLinearSifting(
-  DdManager * table,
-  int  lower,
-  int  upper)
-{
-    int    i;
-    int    *var;
-    int    size;
-    int    x;
-    int    result;
-#ifdef DD_STATS
-    int    previousSize;
-#endif
-
-    size = table->sizeZ;
-    empty = table->zero;
-
-    /* Find order in which to sift variables. */
-    var = NULL;
-    zdd_entry = ALLOC(int, size);
-    if (zdd_entry == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto cuddZddSiftingOutOfMem;
-    }
-    var = ALLOC(int, size);
-    if (var == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto cuddZddSiftingOutOfMem;
-    }
-
-    for (i = 0; i < size; i++) {
-    x = table->permZ[i];
-    zdd_entry[i] = table->subtableZ[x].keys;
-    var[i] = i;
-    }
-
-    qsort((void *)var, size, sizeof(int), (int (*)(const void *, const void *))cuddZddUniqueCompare);
-
-    /* Now sift. */
-    for (i = 0; i < ddMin(table->siftMaxVar, size); i++) {
-    if (zddTotalNumberSwapping >= table->siftMaxSwap)
-        break;
-    x = table->permZ[var[i]];
-    if (x < lower || x > upper) continue;
-#ifdef DD_STATS
-    previousSize = table->keysZ;
-#endif
-    result = cuddZddLinearAux(table, x, lower, upper);
-    if (!result)
-        goto cuddZddSiftingOutOfMem;
-#ifdef DD_STATS
-    if (table->keysZ < (unsigned) previousSize) {
-        (void) fprintf(table->out,"-");
-    } else if (table->keysZ > (unsigned) previousSize) {
-        (void) fprintf(table->out,"+");    /* should never happen */
-        (void) fprintf(table->out,"\nSize increased from %d to %d while sifting variable %d\n", previousSize, table->keysZ , var[i]);
-    } else {
-        (void) fprintf(table->out,"=");
-    }
-    fflush(table->out);
-#endif
-    }
-
-    FREE(var);
-    FREE(zdd_entry);
-
-    return(1);
-
-cuddZddSiftingOutOfMem:
-
-    if (zdd_entry != NULL) FREE(zdd_entry);
-    if (var != NULL) FREE(var);
-
-    return(0);
-
-} /* end of cuddZddLinearSifting */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Linearly combines two adjacent variables.]
-
-  Description [Linearly combines two adjacent variables. It assumes
-  that no dead nodes are present on entry to this procedure.  The
-  procedure then guarantees that no dead nodes will be present when it
-  terminates.  cuddZddLinearInPlace assumes that x &lt; y.  Returns the
-  number of keys in the table if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddZddSwapInPlace cuddLinearInPlace]
-
-******************************************************************************/
-int
-cuddZddLinearInPlace(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    DdNodePtr *xlist, *ylist;
-    int        xindex, yindex;
-    int        xslots, yslots;
-    int        xshift, yshift;
-    int         oldxkeys, oldykeys;
-    int         newxkeys, newykeys;
-    int        i;
-    int        posn;
-    DdNode    *f, *f1, *f0, *f11, *f10, *f01, *f00;
-    DdNode    *newf1, *newf0, *g, *next, *previous;
-    DdNode    *special;
-
-#ifdef DD_DEBUG
-    assert(x < y);
-    assert(cuddZddNextHigh(table,x) == y);
-    assert(table->subtableZ[x].keys != 0);
-    assert(table->subtableZ[y].keys != 0);
-    assert(table->subtableZ[x].dead == 0);
-    assert(table->subtableZ[y].dead == 0);
-#endif
-
-    zddTotalNumberLinearTr++;
-
-    /* Get parameters of x subtable. */
-    xindex   = table->invpermZ[x];
-    xlist    = table->subtableZ[x].nodelist;
-    oldxkeys = table->subtableZ[x].keys;
-    xslots   = table->subtableZ[x].slots;
-    xshift   = table->subtableZ[x].shift;
-    newxkeys = 0;
-
-    /* Get parameters of y subtable. */
-    yindex   = table->invpermZ[y];
-    ylist    = table->subtableZ[y].nodelist;
-    oldykeys = table->subtableZ[y].keys;
-    yslots   = table->subtableZ[y].slots;
-    yshift   = table->subtableZ[y].shift;
-    newykeys = oldykeys;
-
-    /* The nodes in the x layer are put in two chains.  The chain
-    ** pointed by g holds the normal nodes. When re-expressed they stay
-    ** in the x list. The chain pointed by special holds the elements
-    ** that will move to the y list.
-    */
-    g = special = NULL;
-    for (i = 0; i < xslots; i++) {
-    f = xlist[i];
-    if (f == NULL) continue;
-    xlist[i] = NULL;
-    while (f != NULL) {
-        next = f->next;
-        f1 = cuddT(f);
-        /* if (f1->index == yindex) */ cuddSatDec(f1->ref);
-        f0 = cuddE(f);
-        /* if (f0->index == yindex) */ cuddSatDec(f0->ref);
-        if ((int) f1->index == yindex && cuddE(f1) == empty &&
-        (int) f0->index != yindex) {
-        f->next = special;
-        special = f;
-        } else {
-        f->next = g;
-        g = f;
-        }
-        f = next;
-    } /* while there are elements in the collision chain */
-    } /* for each slot of the x subtable */
-
-    /* Mark y nodes with pointers from above x. We mark them by
-    **  changing their index to x.
-    */
-    for (i = 0; i < yslots; i++) {
-    f = ylist[i];
-    while (f != NULL) {
-        if (f->ref != 0) {
-        f->index = xindex;
-        }
-        f = f->next;
-    } /* while there are elements in the collision chain */
-    } /* for each slot of the y subtable */
-
-    /* Move special nodes to the y list. */
-    f = special;
-    while (f != NULL) {
-    next = f->next;
-    f1 = cuddT(f);
-    f11 = cuddT(f1);
-    cuddT(f) = f11;
-    cuddSatInc(f11->ref);
-    f0 = cuddE(f);
-    cuddSatInc(f0->ref);
-    f->index = yindex;
-    /* Insert at the beginning of the list so that it will be
-    ** found first if there is a duplicate. The duplicate will
-    ** eventually be moved or garbage collected. No node
-    ** re-expression will add a pointer to it.
-    */
-    posn = ddHash(f11, f0, yshift);
-    f->next = ylist[posn];
-    ylist[posn] = f;
-    newykeys++;
-    f = next;
-    }
-
-    /* Take care of the remaining x nodes that must be re-expressed.
-    ** They form a linked list pointed by g.
-    */
-    f = g;
-    while (f != NULL) {
-#ifdef DD_COUNT
-    table->swapSteps++;
-#endif
-    next = f->next;
-    /* Find f1, f0, f11, f10, f01, f00. */
-    f1 = cuddT(f);
-    if ((int) f1->index == yindex || (int) f1->index == xindex) {
-        f11 = cuddT(f1); f10 = cuddE(f1);
-    } else {
-        f11 = empty; f10 = f1;
-    }
-    f0 = cuddE(f);
-    if ((int) f0->index == yindex || (int) f0->index == xindex) {
-        f01 = cuddT(f0); f00 = cuddE(f0);
-    } else {
-        f01 = empty; f00 = f0;
-    }
-    /* Create the new T child. */
-    if (f01 == empty) {
-        newf1 = f10;
-        cuddSatInc(newf1->ref);
-    } else {
-        /* Check ylist for triple (yindex, f01, f10). */
-        posn = ddHash(f01, f10, yshift);
-        /* For each element newf1 in collision list ylist[posn]. */
-        newf1 = ylist[posn];
-        /* Search the collision chain skipping the marked nodes. */
-        while (newf1 != NULL) {
-        if (cuddT(newf1) == f01 && cuddE(newf1) == f10 &&
-            (int) newf1->index == yindex) {
-            cuddSatInc(newf1->ref);
-            break; /* match */
-        }
-        newf1 = newf1->next;
-        } /* while newf1 */
-        if (newf1 == NULL) {    /* no match */
-        newf1 = cuddDynamicAllocNode(table);
-        if (newf1 == NULL)
-            goto zddSwapOutOfMem;
-        newf1->index = yindex; newf1->ref = 1;
-        cuddT(newf1) = f01;
-        cuddE(newf1) = f10;
-        /* Insert newf1 in the collision list ylist[pos];
-        ** increase the ref counts of f01 and f10
-        */
-        newykeys++;
-        newf1->next = ylist[posn];
-        ylist[posn] = newf1;
-        cuddSatInc(f01->ref);
-        cuddSatInc(f10->ref);
-        }
-    }
-    cuddT(f) = newf1;
-
-    /* Do the same for f0. */
-    /* Create the new E child. */
-    if (f11 == empty) {
-        newf0 = f00;
-        cuddSatInc(newf0->ref);
-    } else {
-        /* Check ylist for triple (yindex, f11, f00). */
-        posn = ddHash(f11, f00, yshift);
-        /* For each element newf0 in collision list ylist[posn]. */
-        newf0 = ylist[posn];
-        while (newf0 != NULL) {
-        if (cuddT(newf0) == f11 && cuddE(newf0) == f00 &&
-            (int) newf0->index == yindex) {
-            cuddSatInc(newf0->ref);
-            break; /* match */
-        }
-        newf0 = newf0->next;
-        } /* while newf0 */
-        if (newf0 == NULL) {    /* no match */
-        newf0 = cuddDynamicAllocNode(table);
-        if (newf0 == NULL)
-            goto zddSwapOutOfMem;
-        newf0->index = yindex; newf0->ref = 1;
-        cuddT(newf0) = f11; cuddE(newf0) = f00;
-        /* Insert newf0 in the collision list ylist[posn];
-        ** increase the ref counts of f11 and f00.
-        */
-        newykeys++;
-        newf0->next = ylist[posn];
-        ylist[posn] = newf0;
-        cuddSatInc(f11->ref);
-        cuddSatInc(f00->ref);
-        }
-    }
-    cuddE(f) = newf0;
-
-    /* Re-insert the modified f in xlist.
-    ** The modified f does not already exists in xlist.
-    ** (Because of the uniqueness of the cofactors.)
-    */
-    posn = ddHash(newf1, newf0, xshift);
-    newxkeys++;
-    f->next = xlist[posn];
-    xlist[posn] = f;
-    f = next;
-    } /* while f != NULL */
-
-    /* GC the y layer and move the marked nodes to the x list. */
-
-    /* For each node f in ylist. */
-    for (i = 0; i < yslots; i++) {
-    previous = NULL;
-    f = ylist[i];
-    while (f != NULL) {
-        next = f->next;
-        if (f->ref == 0) {
-        cuddSatDec(cuddT(f)->ref);
-        cuddSatDec(cuddE(f)->ref);
-        cuddDeallocNode(table, f);
-        newykeys--;
-        if (previous == NULL)
-            ylist[i] = next;
-        else
-            previous->next = next;
-        } else if ((int) f->index == xindex) { /* move marked node */
-        if (previous == NULL)
-            ylist[i] = next;
-        else
-            previous->next = next;
-        f1 = cuddT(f);
-        cuddSatDec(f1->ref);
-        /* Check ylist for triple (yindex, f1, empty). */
-        posn = ddHash(f1, empty, yshift);
-        /* For each element newf1 in collision list ylist[posn]. */
-        newf1 = ylist[posn];
-        while (newf1 != NULL) {
-            if (cuddT(newf1) == f1 && cuddE(newf1) == empty &&
-            (int) newf1->index == yindex) {
-            cuddSatInc(newf1->ref);
-            break; /* match */
-            }
-            newf1 = newf1->next;
-        } /* while newf1 */
-        if (newf1 == NULL) {    /* no match */
-            newf1 = cuddDynamicAllocNode(table);
-            if (newf1 == NULL)
-            goto zddSwapOutOfMem;
-            newf1->index = yindex; newf1->ref = 1;
-            cuddT(newf1) = f1; cuddE(newf1) = empty;
-            /* Insert newf1 in the collision list ylist[posn];
-            ** increase the ref counts of f1 and empty.
-            */
-            newykeys++;
-            newf1->next = ylist[posn];
-            ylist[posn] = newf1;
-            if (posn == i && previous == NULL)
-            previous = newf1;
-            cuddSatInc(f1->ref);
-            cuddSatInc(empty->ref);
-        }
-        cuddT(f) = newf1;
-        f0 = cuddE(f);
-        /* Insert f in x list. */
-        posn = ddHash(newf1, f0, xshift);
-        newxkeys++;
-        newykeys--;
-        f->next = xlist[posn];
-        xlist[posn] = f;
-        } else {
-        previous = f;
-        }
-        f = next;
-    } /* while f */
-    } /* for i */
-
-    /* Set the appropriate fields in table. */
-    table->subtableZ[x].keys     = newxkeys;
-    table->subtableZ[y].keys     = newykeys;
-
-    table->keysZ += newxkeys + newykeys - oldxkeys - oldykeys;
-
-    /* Update univ section; univ[x] remains the same. */
-    table->univ[y] = cuddT(table->univ[x]);
-
-#if 0
-    (void) fprintf(table->out,"x = %d  y = %d\n", x, y);
-    (void) Cudd_DebugCheck(table);
-    (void) Cudd_CheckKeys(table);
-#endif
-
-    return (table->keysZ);
-
-zddSwapOutOfMem:
-    (void) fprintf(table->err, "Error: cuddZddSwapInPlace out of memory\n");
-
-    return (0);
-
-} /* end of cuddZddLinearInPlace */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Given xLow <= x <= xHigh moves x up and down between the
-  boundaries.]
-
-  Description [Given xLow <= x <= xHigh moves x up and down between the
-  boundaries. Finds the best position and does the required changes.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-cuddZddLinearAux(
-  DdManager * table,
-  int  x,
-  int  xLow,
-  int  xHigh)
-{
-    Move    *move;
-    Move    *moveUp;    /* list of up move */
-    Move    *moveDown;    /* list of down move */
-
-    int        initial_size;
-    int        result;
-
-    initial_size = table->keysZ;
-
-#ifdef DD_DEBUG
-    assert(table->subtableZ[x].keys > 0);
-#endif
-
-    moveDown = NULL;
-    moveUp = NULL;
-
-    if (x == xLow) {
-    moveDown = cuddZddLinearDown(table, x, xHigh, NULL);
-    /* At this point x --> xHigh. */
-    if (moveDown == (Move *) CUDD_OUT_OF_MEM)
-        goto cuddZddLinearAuxOutOfMem;
-    /* Move backward and stop at best position. */
-    result = cuddZddLinearBackward(table, initial_size, moveDown);
-    if (!result)
-        goto cuddZddLinearAuxOutOfMem;
-
-    } else if (x == xHigh) {
-    moveUp = cuddZddLinearUp(table, x, xLow, NULL);
-    /* At this point x --> xLow. */
-    if (moveUp == (Move *) CUDD_OUT_OF_MEM)
-        goto cuddZddLinearAuxOutOfMem;
-    /* Move backward and stop at best position. */
-    result = cuddZddLinearBackward(table, initial_size, moveUp);
-    if (!result)
-        goto cuddZddLinearAuxOutOfMem;
-
-    } else if ((x - xLow) > (xHigh - x)) { /* must go down first: shorter */
-    moveDown = cuddZddLinearDown(table, x, xHigh, NULL);
-    /* At this point x --> xHigh. */
-    if (moveDown == (Move *) CUDD_OUT_OF_MEM)
-        goto cuddZddLinearAuxOutOfMem;
-    moveUp = cuddZddUndoMoves(table,moveDown);
-#ifdef DD_DEBUG
-    assert(moveUp == NULL || moveUp->x == x);
-#endif
-    moveUp = cuddZddLinearUp(table, x, xLow, moveUp);
-    if (moveUp == (Move *) CUDD_OUT_OF_MEM)
-        goto cuddZddLinearAuxOutOfMem;
-    /* Move backward and stop at best position. */
-    result = cuddZddLinearBackward(table, initial_size, moveUp);
-    if (!result)
-        goto cuddZddLinearAuxOutOfMem;
-
-    } else {
-    moveUp = cuddZddLinearUp(table, x, xLow, NULL);
-    /* At this point x --> xHigh. */
-    if (moveUp == (Move *) CUDD_OUT_OF_MEM)
-        goto cuddZddLinearAuxOutOfMem;
-    /* Then move up. */
-    moveDown = cuddZddUndoMoves(table,moveUp);
-#ifdef DD_DEBUG
-    assert(moveDown == NULL || moveDown->y == x);
-#endif
-    moveDown = cuddZddLinearDown(table, x, xHigh, moveDown);
-    if (moveDown == (Move *) CUDD_OUT_OF_MEM)
-        goto cuddZddLinearAuxOutOfMem;
-    /* Move backward and stop at best position. */
-    result = cuddZddLinearBackward(table, initial_size, moveDown);
-    if (!result)
-        goto cuddZddLinearAuxOutOfMem;
-    }
-
-    while (moveDown != NULL) {
-    move = moveDown->next;
-    cuddDeallocNode(table, (DdNode *)moveDown);
-    moveDown = move;
-    }
-    while (moveUp != NULL) {
-    move = moveUp->next;
-    cuddDeallocNode(table, (DdNode *)moveUp);
-    moveUp = move;
-    }
-
-    return(1);
-
-cuddZddLinearAuxOutOfMem:
-    if (moveDown != (Move *) CUDD_OUT_OF_MEM) {
-    while (moveDown != NULL) {
-        move = moveDown->next;
-        cuddDeallocNode(table, (DdNode *)moveDown);
-        moveDown = move;
-    }
-    }
-    if (moveUp != (Move *) CUDD_OUT_OF_MEM) {
-    while (moveUp != NULL) {
-        move = moveUp->next;
-        cuddDeallocNode(table, (DdNode *)moveUp);
-        moveUp = move;
-    }
-    }
-
-    return(0);
-
-} /* end of cuddZddLinearAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sifts a variable up applying the XOR transformation.]
-
-  Description [Sifts a variable up applying the XOR
-  transformation. Moves y up until either it reaches the bound (xLow)
-  or the size of the ZDD heap increases too much.  Returns the set of
-  moves in case of success; NULL if memory is full.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static Move *
-cuddZddLinearUp(
-  DdManager * table,
-  int  y,
-  int  xLow,
-  Move * prevMoves)
-{
-    Move    *moves;
-    Move    *move;
-    int        x;
-    int        size, newsize;
-    int        limitSize;
-
-    moves = prevMoves;
-    limitSize = table->keysZ;
-
-    x = cuddZddNextLow(table, y);
-    while (x >= xLow) {
-    size = cuddZddSwapInPlace(table, x, y);
-    if (size == 0)
-        goto cuddZddLinearUpOutOfMem;
-    newsize = cuddZddLinearInPlace(table, x, y);
-    if (newsize == 0)
-        goto cuddZddLinearUpOutOfMem;
-    move = (Move *) cuddDynamicAllocNode(table);
-    if (move == NULL)
-        goto cuddZddLinearUpOutOfMem;
-    move->x = x;
-    move->y = y;
-    move->next = moves;
-    moves = move;
-    move->flags = CUDD_SWAP_MOVE;
-    if (newsize > size) {
-        /* Undo transformation. The transformation we apply is
-        ** its own inverse. Hence, we just apply the transformation
-        ** again.
-        */
-        newsize = cuddZddLinearInPlace(table,x,y);
-        if (newsize == 0) goto cuddZddLinearUpOutOfMem;
-#ifdef DD_DEBUG
-        if (newsize != size) {
-        (void) fprintf(table->err,"Change in size after identity transformation! From %d to %d\n",size,newsize);
-        }
-#endif
-    } else {
-        size = newsize;
-        move->flags = CUDD_LINEAR_TRANSFORM_MOVE;
-    }
-    move->size = size;
-
-    if ((double)size > (double)limitSize * table->maxGrowth)
-        break;
-        if (size < limitSize)
-        limitSize = size;
-
-    y = x;
-    x = cuddZddNextLow(table, y);
-    }
-    return(moves);
-
-cuddZddLinearUpOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *)moves);
-    moves = move;
-    }
-    return((Move *) CUDD_OUT_OF_MEM);
-
-} /* end of cuddZddLinearUp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sifts a variable down and applies the XOR transformation.]
-
-  Description [Sifts a variable down. Moves x down until either it
-  reaches the bound (xHigh) or the size of the ZDD heap increases too
-  much. Returns the set of moves in case of success; NULL if memory is
-  full.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static Move *
-cuddZddLinearDown(
-  DdManager * table,
-  int  x,
-  int  xHigh,
-  Move * prevMoves)
-{
-    Move    *moves;
-    Move    *move;
-    int        y;
-    int        size, newsize;
-    int        limitSize;
-
-    moves = prevMoves;
-    limitSize = table->keysZ;
-
-    y = cuddZddNextHigh(table, x);
-    while (y <= xHigh) {
-    size = cuddZddSwapInPlace(table, x, y);
-    if (size == 0)
-        goto cuddZddLinearDownOutOfMem;
-    newsize = cuddZddLinearInPlace(table, x, y);
-    if (newsize == 0)
-        goto cuddZddLinearDownOutOfMem;
-    move = (Move *) cuddDynamicAllocNode(table);
-    if (move == NULL)
-        goto cuddZddLinearDownOutOfMem;
-    move->x = x;
-    move->y = y;
-    move->next = moves;
-    moves = move;
-    move->flags = CUDD_SWAP_MOVE;
-    if (newsize > size) {
-        /* Undo transformation. The transformation we apply is
-        ** its own inverse. Hence, we just apply the transformation
-        ** again.
-        */
-        newsize = cuddZddLinearInPlace(table,x,y);
-        if (newsize == 0) goto cuddZddLinearDownOutOfMem;
-        if (newsize != size) {
-        (void) fprintf(table->err,"Change in size after identity transformation! From %d to %d\n",size,newsize);
-        }
-    } else {
-        size = newsize;
-        move->flags = CUDD_LINEAR_TRANSFORM_MOVE;
-    }
-    move->size = size;
-
-    if ((double)size > (double)limitSize * table->maxGrowth)
-        break;
-        if (size < limitSize)
-        limitSize = size;
-
-    x = y;
-    y = cuddZddNextHigh(table, x);
-    }
-    return(moves);
-
-cuddZddLinearDownOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *)moves);
-    moves = move;
-    }
-    return((Move *) CUDD_OUT_OF_MEM);
-
-} /* end of cuddZddLinearDown */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Given a set of moves, returns the ZDD heap to the position
-  giving the minimum size.]
-
-  Description [Given a set of moves, returns the ZDD heap to the
-  position giving the minimum size. In case of ties, returns to the
-  closest position giving the minimum size. Returns 1 in case of
-  success; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-cuddZddLinearBackward(
-  DdManager * table,
-  int  size,
-  Move * moves)
-{
-    Move    *move;
-    int        res;
-
-    /* Find the minimum size among moves. */
-    for (move = moves; move != NULL; move = move->next) {
-    if (move->size < size) {
-        size = move->size;
-    }
-    }
-
-    for (move = moves; move != NULL; move = move->next) {
-    if (move->size == size) return(1);
-    if (move->flags == CUDD_LINEAR_TRANSFORM_MOVE) {
-        res = cuddZddLinearInPlace(table,(int)move->x,(int)move->y);
-        if (!res) return(0);
-    }
-    res = cuddZddSwapInPlace(table, move->x, move->y);
-    if (!res)
-        return(0);
-    if (move->flags == CUDD_INVERSE_TRANSFORM_MOVE) {
-        res = cuddZddLinearInPlace(table,(int)move->x,(int)move->y);
-        if (!res) return(0);
-    }
-    }
-
-    return(1);
-
-} /* end of cuddZddLinearBackward */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Given a set of moves, returns the ZDD heap to the order
-  in effect before the moves.]
-
-  Description [Given a set of moves, returns the ZDD heap to the
-  order in effect before the moves.  Returns 1 in case of success;
-  0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static Move*
-cuddZddUndoMoves(
-  DdManager * table,
-  Move * moves)
-{
-    Move *invmoves = NULL;
-    Move *move;
-    Move *invmove;
-    int    size;
-
-    for (move = moves; move != NULL; move = move->next) {
-    invmove = (Move *) cuddDynamicAllocNode(table);
-    if (invmove == NULL) goto cuddZddUndoMovesOutOfMem;
-    invmove->x = move->x;
-    invmove->y = move->y;
-    invmove->next = invmoves;
-    invmoves = invmove;
-    if (move->flags == CUDD_SWAP_MOVE) {
-        invmove->flags = CUDD_SWAP_MOVE;
-        size = cuddZddSwapInPlace(table,(int)move->x,(int)move->y);
-        if (!size) goto cuddZddUndoMovesOutOfMem;
-    } else if (move->flags == CUDD_LINEAR_TRANSFORM_MOVE) {
-        invmove->flags = CUDD_INVERSE_TRANSFORM_MOVE;
-        size = cuddZddLinearInPlace(table,(int)move->x,(int)move->y);
-        if (!size) goto cuddZddUndoMovesOutOfMem;
-        size = cuddZddSwapInPlace(table,(int)move->x,(int)move->y);
-        if (!size) goto cuddZddUndoMovesOutOfMem;
-    } else { /* must be CUDD_INVERSE_TRANSFORM_MOVE */
-#ifdef DD_DEBUG
-        (void) fprintf(table->err,"Unforseen event in ddUndoMoves!\n");
-#endif
-        invmove->flags = CUDD_LINEAR_TRANSFORM_MOVE;
-        size = cuddZddSwapInPlace(table,(int)move->x,(int)move->y);
-        if (!size) goto cuddZddUndoMovesOutOfMem;
-        size = cuddZddLinearInPlace(table,(int)move->x,(int)move->y);
-        if (!size) goto cuddZddUndoMovesOutOfMem;
-    }
-    invmove->size = size;
-    }
-
-    return(invmoves);
-
-cuddZddUndoMovesOutOfMem:
-    while (invmoves != NULL) {
-    move = invmoves->next;
-    cuddDeallocNode(table, (DdNode *) invmoves);
-    invmoves = move;
-    }
-    return((Move *) CUDD_OUT_OF_MEM);
-
-} /* end of cuddZddUndoMoves */
-
diff --git a/src/bdd/cudd/cuddZddMisc.c b/src/bdd/cudd/cuddZddMisc.c
deleted file mode 100644
index 6a4ddd09..00000000
--- a/src/bdd/cudd/cuddZddMisc.c
+++ /dev/null
@@ -1,252 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddZddMisc.c]
-
-  PackageName [cudd]
-
-  Synopsis    [.]
-
-  Description [External procedures included in this module:
-            <ul>
-            <li> Cudd_zddDagSize()
-            <li> Cudd_zddCountMinterm()
-            <li> Cudd_zddPrintSubtable()
-            </ul>
-           Internal procedures included in this module:
-            <ul>
-            </ul>
-           Static procedures included in this module:
-            <ul>
-            <li> cuddZddDagInt()
-            </ul>
-          ]
-
-  SeeAlso     []
-
-  Author      [Hyong-Kyoon Shin, In-Ho Moon]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    <math.h>
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddZddMisc.c,v 1.1.1.1 2003/02/24 22:23:54 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int cuddZddDagInt ARGS((DdNode *n, st_table *tab));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts the number of nodes in a ZDD.]
-
-  Description [Counts the number of nodes in a ZDD. This function
-  duplicates Cudd_DagSize and is only retained for compatibility.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DagSize]
-
-******************************************************************************/
-int
-Cudd_zddDagSize(
-  DdNode * p_node)
-{
-
-    int        i;    
-    st_table    *table;
-
-    table = st_init_table(st_ptrcmp, st_ptrhash);
-    i = cuddZddDagInt(p_node, table);
-    st_free_table(table);
-    return(i);
-
-} /* end of Cudd_zddDagSize */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts the number of minterms of a ZDD.]
-
-  Description [Counts the number of minterms of the ZDD rooted at
-  <code>node</code>. This procedure takes a parameter
-  <code>path</code> that specifies how many variables are in the
-  support of the function. If the procedure runs out of memory, it
-  returns (double) CUDD_OUT_OF_MEM.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddCountDouble]
-
-******************************************************************************/
-double
-Cudd_zddCountMinterm(
-  DdManager * zdd,
-  DdNode * node,
-  int  path)
-{
-    double    dc_var, minterms;    
-
-    dc_var = (double)((double)(zdd->sizeZ) - (double)path);
-    minterms = Cudd_zddCountDouble(zdd, node) / pow(2.0, dc_var);
-    return(minterms);
-
-} /* end of Cudd_zddCountMinterm */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints the ZDD table.]
-
-  Description [Prints the ZDD table for debugging purposes.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-Cudd_zddPrintSubtable(
-  DdManager * table)
-{
-    int        i, j;
-    DdNode     *z1, *z1_next, *base;
-    DdSubtable    *ZSubTable;
-
-    base = table->one;
-    for (i = table->sizeZ - 1; i >= 0; i--) {
-    ZSubTable = &(table->subtableZ[i]);
-    printf("subtable[%d]:\n", i);
-    for (j = ZSubTable->slots - 1; j >= 0; j--) {
-        z1 = ZSubTable->nodelist[j];
-        while (z1 != NIL(DdNode)) {
-        (void) fprintf(table->out,
-#if SIZEOF_VOID_P == 8
-            "ID = 0x%lx\tindex = %d\tr = %d\t",
-            (unsigned long) z1 / (unsigned long) sizeof(DdNode),
-            z1->index, z1->ref);
-#else
-            "ID = 0x%x\tindex = %d\tr = %d\t",
-            (unsigned) z1 / (unsigned) sizeof(DdNode),
-            z1->index, z1->ref);
-#endif
-        z1_next = cuddT(z1);
-        if (Cudd_IsConstant(z1_next)) {
-            (void) fprintf(table->out, "T = %d\t\t",
-            (z1_next == base));
-        }
-        else {
-#if SIZEOF_VOID_P == 8
-            (void) fprintf(table->out, "T = 0x%lx\t",
-            (unsigned long) z1_next / (unsigned long) sizeof(DdNode));
-#else
-            (void) fprintf(table->out, "T = 0x%x\t",
-            (unsigned) z1_next / (unsigned) sizeof(DdNode));
-#endif
-        }
-        z1_next = cuddE(z1);
-        if (Cudd_IsConstant(z1_next)) {
-            (void) fprintf(table->out, "E = %d\n",
-            (z1_next == base));
-        }
-        else {
-#if SIZEOF_VOID_P == 8
-            (void) fprintf(table->out, "E = 0x%lx\n",
-            (unsigned long) z1_next / (unsigned long) sizeof(DdNode));
-#else
-            (void) fprintf(table->out, "E = 0x%x\n",
-            (unsigned) z1_next / (unsigned) sizeof(DdNode));
-#endif
-        }
-
-        z1_next = z1->next;
-        z1 = z1_next;
-        }
-    }
-    }
-    putchar('\n');
-
-} /* Cudd_zddPrintSubtable */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_zddDagSize.]
-
-  Description [Performs the recursive step of Cudd_zddDagSize. Does
-  not check for out-of-memory conditions.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-cuddZddDagInt(
-  DdNode * n,
-  st_table * tab)
-{
-    if (n == NIL(DdNode))
-    return(0);
-
-    if (st_is_member(tab, (char *)n) == 1)
-    return(0);
-
-    if (Cudd_IsConstant(n))
-    return(0);
-
-    (void)st_insert(tab, (char *)n, NIL(char));
-    return(1 + cuddZddDagInt(cuddT(n), tab) +
-    cuddZddDagInt(cuddE(n), tab));
-
-} /* cuddZddDagInt */
-
diff --git a/src/bdd/cudd/cuddZddPort.c b/src/bdd/cudd/cuddZddPort.c
deleted file mode 100644
index 6d4a3236..00000000
--- a/src/bdd/cudd/cuddZddPort.c
+++ /dev/null
@@ -1,354 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddZddPort.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions that translate BDDs to ZDDs.]
-
-  Description [External procedures included in this module:
-            <ul>
-            <li> Cudd_zddPortFromBdd()
-            <li> Cudd_zddPortToBdd()
-            </ul>
-           Internal procedures included in this module:
-            <ul>
-            </ul>
-           Static procedures included in this module:
-            <ul>
-            <li> zddPortFromBddStep()
-            <li> zddPortToBddStep()
-            </ul>
-          ]
-
-  SeeAlso     []
-
-  Author      [Hyong-kyoon Shin, In-Ho Moon]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddZddPort.c,v 1.1.1.1 2003/02/24 22:23:54 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static DdNode * zddPortFromBddStep ARGS((DdManager *dd, DdNode *B, int expected));
-static DdNode * zddPortToBddStep ARGS((DdManager *dd, DdNode *f, int depth));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Converts a BDD into a ZDD.]
-
-  Description [Converts a BDD into a ZDD. This function assumes that
-  there is a one-to-one correspondence between the BDD variables and the
-  ZDD variables, and that the variable order is the same for both types
-  of variables. These conditions are established if the ZDD variables
-  are created by one call to Cudd_zddVarsFromBddVars with multiplicity =
-  1. Returns a pointer to the resulting ZDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddVarsFromBddVars]
-
-******************************************************************************/
-DdNode *
-Cudd_zddPortFromBdd(
-  DdManager * dd,
-  DdNode * B)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = zddPortFromBddStep(dd,B,0);
-    } while (dd->reordered == 1);
-
-    return(res);
-
-} /* end of Cudd_zddPortFromBdd */
-
-
-/**Function********************************************************************
-
-  Synopsis [Converts a ZDD into a BDD.]
-
-  Description [Converts a ZDD into a BDD. Returns a pointer to the resulting
-  ZDD if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddPortFromBdd]
-
-******************************************************************************/
-DdNode *
-Cudd_zddPortToBdd(
-  DdManager * dd,
-  DdNode * f)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = zddPortToBddStep(dd,f,0);
-    } while (dd->reordered == 1);
-
-    return(res);
-
-} /* end of Cudd_zddPortToBdd */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Performs the recursive step of Cudd_zddPortFromBdd.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static DdNode *
-zddPortFromBddStep(
-  DdManager * dd,
-  DdNode * B,
-  int  expected)
-{
-    DdNode    *res, *prevZdd, *t, *e;
-    DdNode    *Breg, *Bt, *Be;
-    int        id, level;
-
-    statLine(dd);
-    /* Terminal cases. */
-    if (B == Cudd_Not(DD_ONE(dd)))
-    return(DD_ZERO(dd));
-    if (B == DD_ONE(dd)) {
-    if (expected >= dd->sizeZ) {
-        return(DD_ONE(dd));
-    } else {
-        return(dd->univ[expected]);
-    }
-    }
-
-    Breg = Cudd_Regular(B);
-
-    /* Computed table look-up. */
-    res = cuddCacheLookup1Zdd(dd,Cudd_zddPortFromBdd,B);
-    if (res != NULL) {
-    level = cuddI(dd,Breg->index);
-    /* Adding DC vars. */
-    if (expected < level) {
-        /* Add suppressed variables. */
-        cuddRef(res);
-        for (level--; level >= expected; level--) {
-        prevZdd = res;
-        id = dd->invperm[level];
-        res = cuddZddGetNode(dd, id, prevZdd, prevZdd);
-        if (res == NULL) {
-            Cudd_RecursiveDerefZdd(dd, prevZdd);
-            return(NULL);
-        }
-        cuddRef(res);
-        Cudd_RecursiveDerefZdd(dd, prevZdd);
-        }
-        cuddDeref(res);
-    }
-    return(res);
-    }    /* end of cache look-up */
-
-    if (Cudd_IsComplement(B)) {
-    Bt = Cudd_Not(cuddT(Breg));
-    Be = Cudd_Not(cuddE(Breg));
-    } else {
-    Bt = cuddT(Breg);
-    Be = cuddE(Breg);
-    }
-
-    id = Breg->index;
-    level = cuddI(dd,id);
-    t = zddPortFromBddStep(dd, Bt, level+1);
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-    e = zddPortFromBddStep(dd, Be, level+1);
-    if (e == NULL) {
-    Cudd_RecursiveDerefZdd(dd, t);
-    return(NULL);
-    }
-    cuddRef(e);
-    res = cuddZddGetNode(dd, id, t, e);
-    if (res == NULL) {
-    Cudd_RecursiveDerefZdd(dd, t);
-    Cudd_RecursiveDerefZdd(dd, e);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDerefZdd(dd, t);
-    Cudd_RecursiveDerefZdd(dd, e);
-
-    cuddCacheInsert1(dd,Cudd_zddPortFromBdd,B,res);
-
-    for (level--; level >= expected; level--) {
-    prevZdd = res;
-    id = dd->invperm[level];
-    res = cuddZddGetNode(dd, id, prevZdd, prevZdd);
-    if (res == NULL) {
-        Cudd_RecursiveDerefZdd(dd, prevZdd);
-        return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDerefZdd(dd, prevZdd);
-    }
-
-    cuddDeref(res);
-    return(res);
-
-} /* end of zddPortFromBddStep */
-
-
-/**Function********************************************************************
-
-  Synopsis [Performs the recursive step of Cudd_zddPortToBdd.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static DdNode *
-zddPortToBddStep(
-  DdManager * dd /* manager */,
-  DdNode * f /* ZDD to be converted */,
-  int  depth /* recursion depth */)
-{
-    DdNode *one, *zero, *T, *E, *res, *var;
-    unsigned int index;
-    unsigned int level;
-
-    statLine(dd);
-    one = DD_ONE(dd);
-    zero = DD_ZERO(dd);
-    if (f == zero) return(Cudd_Not(one));
-
-    if (depth == dd->sizeZ) return(one);
-
-    index = dd->invpermZ[depth];
-    level = cuddIZ(dd,f->index);
-    var = cuddUniqueInter(dd,index,one,Cudd_Not(one));
-    if (var == NULL) return(NULL);
-    cuddRef(var);
-
-    if (level > (unsigned) depth) {
-    E = zddPortToBddStep(dd,f,depth+1);
-    if (E == NULL) {
-        Cudd_RecursiveDeref(dd,var);
-        return(NULL);
-    }
-    cuddRef(E);
-    res = cuddBddIteRecur(dd,var,Cudd_Not(one),E);
-    if (res == NULL) {
-        Cudd_RecursiveDeref(dd,var);
-        Cudd_RecursiveDeref(dd,E);
-        return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(dd,var);
-    Cudd_RecursiveDeref(dd,E);
-    cuddDeref(res);
-    return(res);
-    }
-
-    res = cuddCacheLookup1(dd,Cudd_zddPortToBdd,f);
-    if (res != NULL) {
-    Cudd_RecursiveDeref(dd,var);
-    return(res);
-    }
-
-    T = zddPortToBddStep(dd,cuddT(f),depth+1);
-    if (T == NULL) {
-    Cudd_RecursiveDeref(dd,var);
-    return(NULL);
-    }
-    cuddRef(T);
-    E = zddPortToBddStep(dd,cuddE(f),depth+1);
-    if (E == NULL) {
-    Cudd_RecursiveDeref(dd,var);
-    Cudd_RecursiveDeref(dd,T);
-    return(NULL);
-    }
-    cuddRef(E);
-
-    res = cuddBddIteRecur(dd,var,T,E);
-    if (res == NULL) {
-    Cudd_RecursiveDeref(dd,var);
-    Cudd_RecursiveDeref(dd,T);
-    Cudd_RecursiveDeref(dd,E);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDeref(dd,var);
-    Cudd_RecursiveDeref(dd,T);
-    Cudd_RecursiveDeref(dd,E);
-    cuddDeref(res);
-
-    cuddCacheInsert1(dd,Cudd_zddPortToBdd,f,res);
-
-    return(res);
-
-} /* end of zddPortToBddStep */
-
diff --git a/src/bdd/cudd/cuddZddReord.c b/src/bdd/cudd/cuddZddReord.c
deleted file mode 100644
index e2da37f2..00000000
--- a/src/bdd/cudd/cuddZddReord.c
+++ /dev/null
@@ -1,1633 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddZddReord.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Procedures for dynamic variable ordering of ZDDs.]
-
-  Description [External procedures included in this module:
-            <ul>
-            <li> Cudd_zddReduceHeap()
-            <li> Cudd_zddShuffleHeap()
-            </ul>
-           Internal procedures included in this module:
-            <ul>
-            <li> cuddZddAlignToBdd()
-            <li> cuddZddNextHigh()
-            <li> cuddZddNextLow()
-            <li> cuddZddUniqueCompare()
-            <li> cuddZddSwapInPlace()
-            <li> cuddZddSwapping()
-            <li> cuddZddSifting()
-            </ul>
-           Static procedures included in this module:
-            <ul>
-            <li> zddSwapAny()
-            <li> cuddZddSiftingAux()
-            <li> cuddZddSiftingUp()
-            <li> cuddZddSiftingDown()
-            <li> cuddZddSiftingBackward()
-            <li> zddReorderPreprocess()
-            <li> zddReorderPostprocess()
-            <li> zddShuffle()
-            <li> zddSiftUp()
-            </ul>
-          ]
-
-  SeeAlso     []
-
-  Author      [Hyong-Kyoon Shin, In-Ho Moon]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#define DD_MAX_SUBTABLE_SPARSITY 8
-#define DD_SHRINK_FACTOR 2
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddZddReord.c,v 1.1.1.1 2003/02/24 22:23:54 wjiang Exp $";
-#endif
-
-int    *zdd_entry;
-
-int    zddTotalNumberSwapping;
-
-static  DdNode    *empty;
-
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static Move * zddSwapAny ARGS((DdManager *table, int x, int y));
-static int cuddZddSiftingAux ARGS((DdManager *table, int x, int x_low, int x_high));
-static Move * cuddZddSiftingUp ARGS((DdManager *table, int x, int x_low, int initial_size));
-static Move * cuddZddSiftingDown ARGS((DdManager *table, int x, int x_high, int initial_size));
-static int cuddZddSiftingBackward ARGS((DdManager *table, Move *moves, int size));
-static void zddReorderPreprocess ARGS((DdManager *table));
-static int zddReorderPostprocess ARGS((DdManager *table));
-static int zddShuffle ARGS((DdManager *table, int *permutation));
-static int zddSiftUp ARGS((DdManager *table, int x, int xLow));
-static void zddFixTree ARGS((DdManager *table, MtrNode *treenode));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Main dynamic reordering routine for ZDDs.]
-
-  Description [Main dynamic reordering routine for ZDDs.
-  Calls one of the possible reordering procedures:
-  <ul>
-  <li>Swapping
-  <li>Sifting
-  <li>Symmetric Sifting
-  </ul>
-
-  For sifting and symmetric sifting it is possible to request reordering
-  to convergence.<p>
-
-  The core of all methods is the reordering procedure
-  cuddZddSwapInPlace() which swaps two adjacent variables.
-  Returns 1 in case of success; 0 otherwise. In the case of symmetric
-  sifting (with and without convergence) returns 1 plus the number of
-  symmetric variables, in case of success.]
-
-  SideEffects [Changes the variable order for all ZDDs and clears
-  the cache.]
-
-******************************************************************************/
-int
-Cudd_zddReduceHeap(
-  DdManager * table /* DD manager */,
-  Cudd_ReorderingType heuristic /* method used for reordering */,
-  int minsize /* bound below which no reordering occurs */)
-{
-    DdHook     *hook;
-    int         result;
-    unsigned int nextDyn;
-#ifdef DD_STATS
-    unsigned int initialSize;
-    unsigned int finalSize;
-#endif
-    long     localTime;
-
-    /* Don't reorder if there are too many dead nodes. */
-    if (table->keysZ - table->deadZ < (unsigned) minsize)
-    return(1);
-
-    if (heuristic == CUDD_REORDER_SAME) {
-    heuristic = table->autoMethodZ;
-    }
-    if (heuristic == CUDD_REORDER_NONE) {
-    return(1);
-    }
-
-    /* This call to Cudd_zddReduceHeap does initiate reordering. Therefore
-    ** we count it.
-    */
-    table->reorderings++;
-    empty = table->zero;
-
-    localTime = util_cpu_time();
-
-    /* Run the hook functions. */
-    hook = table->preReorderingHook;
-    while (hook != NULL) {
-    int res = (hook->f)(table, "ZDD", (void *)heuristic);
-    if (res == 0) return(0);
-    hook = hook->next;
-    }
-
-    /* Clear the cache and collect garbage. */
-    zddReorderPreprocess(table);
-    zddTotalNumberSwapping = 0;
-
-#ifdef DD_STATS
-    initialSize = table->keysZ;
-
-    switch(heuristic) {
-    case CUDD_REORDER_RANDOM:
-    case CUDD_REORDER_RANDOM_PIVOT:
-    (void) fprintf(table->out,"#:I_RANDOM  ");
-    break;
-    case CUDD_REORDER_SIFT:
-    case CUDD_REORDER_SIFT_CONVERGE:
-    case CUDD_REORDER_SYMM_SIFT:
-    case CUDD_REORDER_SYMM_SIFT_CONV:
-    (void) fprintf(table->out,"#:I_SIFTING ");
-    break;
-    case CUDD_REORDER_LINEAR:
-    case CUDD_REORDER_LINEAR_CONVERGE:
-    (void) fprintf(table->out,"#:I_LINSIFT ");
-    break;
-    default:
-    (void) fprintf(table->err,"Unsupported ZDD reordering method\n");
-    return(0);
-    }
-    (void) fprintf(table->out,"%8d: initial size",initialSize); 
-#endif
-
-    result = cuddZddTreeSifting(table,heuristic);
-
-#ifdef DD_STATS
-    (void) fprintf(table->out,"\n");
-    finalSize = table->keysZ;
-    (void) fprintf(table->out,"#:F_REORDER %8d: final size\n",finalSize); 
-    (void) fprintf(table->out,"#:T_REORDER %8g: total time (sec)\n",
-           ((double)(util_cpu_time() - localTime)/1000.0)); 
-    (void) fprintf(table->out,"#:N_REORDER %8d: total swaps\n",
-           zddTotalNumberSwapping);
-#endif
-
-    if (result == 0)
-    return(0);
-
-    if (!zddReorderPostprocess(table))
-    return(0);
-
-    if (table->realignZ) {
-    if (!cuddBddAlignToZdd(table))
-        return(0);
-    }
-
-    nextDyn = table->keysZ * DD_DYN_RATIO;
-    if (table->reorderings < 20 || nextDyn > table->nextDyn)
-    table->nextDyn = nextDyn;
-    else
-    table->nextDyn += 20;
-
-    table->reordered = 1;
-
-    /* Run hook functions. */
-    hook = table->postReorderingHook;
-    while (hook != NULL) {
-    int res = (hook->f)(table, "ZDD", (void *)localTime);
-    if (res == 0) return(0);
-    hook = hook->next;
-    }
-    /* Update cumulative reordering time. */
-    table->reordTime += util_cpu_time() - localTime;
-
-    return(result);
-
-} /* end of Cudd_zddReduceHeap */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders ZDD variables according to given permutation.]
-
-  Description [Reorders ZDD variables according to given permutation.
-  The i-th entry of the permutation array contains the index of the variable
-  that should be brought to the i-th level.  The size of the array should be
-  equal or greater to the number of variables currently in use.
-  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [Changes the ZDD variable order for all diagrams and clears
-  the cache.]
-
-  SeeAlso [Cudd_zddReduceHeap]
-
-******************************************************************************/
-int
-Cudd_zddShuffleHeap(
-  DdManager * table /* DD manager */,
-  int * permutation /* required variable permutation */)
-{
-
-    int    result;
-
-    empty = table->zero;
-    zddReorderPreprocess(table);
-
-    result = zddShuffle(table,permutation);
-
-    if (!zddReorderPostprocess(table)) return(0);
-
-    return(result);
-
-} /* end of Cudd_zddShuffleHeap */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders ZDD variables according to the order of the BDD
-  variables.]
-
-  Description [Reorders ZDD variables according to the order of the
-  BDD variables. This function can be called at the end of BDD
-  reordering to insure that the order of the ZDD variables is
-  consistent with the order of the BDD variables. The number of ZDD
-  variables must be a multiple of the number of BDD variables. Let
-  <code>M</code> be the ratio of the two numbers. cuddZddAlignToBdd
-  then considers the ZDD variables from <code>M*i</code> to
-  <code>(M+1)*i-1</code> as corresponding to BDD variable
-  <code>i</code>.  This function should be normally called from
-  Cudd_ReduceHeap, which clears the cache.  Returns 1 in case of
-  success; 0 otherwise.]
-
-  SideEffects [Changes the ZDD variable order for all diagrams and performs
-  garbage collection of the ZDD unique table.]
-
-  SeeAlso [Cudd_zddShuffleHeap Cudd_ReduceHeap]
-
-******************************************************************************/
-int
-cuddZddAlignToBdd(
-  DdManager * table /* DD manager */)
-{
-    int *invpermZ;        /* permutation array */
-    int M;            /* ratio of ZDD variables to BDD variables */
-    int i,j;            /* loop indices */
-    int result;            /* return value */
-
-    /* We assume that a ratio of 0 is OK. */
-    if (table->sizeZ == 0)
-    return(1);
-
-    empty = table->zero;
-    M = table->sizeZ / table->size;
-    /* Check whether the number of ZDD variables is a multiple of the
-    ** number of BDD variables.
-    */
-    if (M * table->size != table->sizeZ)
-    return(0);
-    /* Create and initialize the inverse permutation array. */
-    invpermZ = ALLOC(int,table->sizeZ);
-    if (invpermZ == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    for (i = 0; i < table->size; i++) {
-    int index = table->invperm[i];
-    int indexZ = index * M;
-    int levelZ = table->permZ[indexZ];
-    levelZ = (levelZ / M) * M;
-    for (j = 0; j < M; j++) {
-        invpermZ[M * i + j] = table->invpermZ[levelZ + j];
-    }
-    }
-    /* Eliminate dead nodes. Do not scan the cache again, because we
-    ** assume that Cudd_ReduceHeap has already cleared it.
-    */
-    cuddGarbageCollectZdd(table,0);
-
-    result = zddShuffle(table, invpermZ);
-    FREE(invpermZ);
-    /* Fix the ZDD variable group tree. */
-    zddFixTree(table,table->treeZ);
-    return(result);
-    
-} /* end of cuddZddAlignToBdd */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the next subtable with a larger index.]
-
-  Description [Finds the next subtable with a larger index. Returns the
-  index.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddZddNextHigh(
-  DdManager * table,
-  int  x)
-{
-    return(x + 1);
-
-} /* end of cuddZddNextHigh */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the next subtable with a smaller index.]
-
-  Description [Finds the next subtable with a smaller index. Returns the
-  index.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddZddNextLow(
-  DdManager * table,
-  int  x)
-{
-    return(x - 1);
-
-} /* end of cuddZddNextLow */
-
-
-/**Function********************************************************************
-
-  Synopsis [Comparison function used by qsort.]
-
-  Description [Comparison function used by qsort to order the
-  variables according to the number of keys in the subtables.
-  Returns the difference in number of keys between the two
-  variables being compared.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddZddUniqueCompare(
-  int * ptr_x,
-  int * ptr_y)
-{
-    return(zdd_entry[*ptr_y] - zdd_entry[*ptr_x]);
-
-} /* end of cuddZddUniqueCompare */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Swaps two adjacent variables.]
-
-  Description [Swaps two adjacent variables. It assumes that no dead
-  nodes are present on entry to this procedure.  The procedure then
-  guarantees that no dead nodes will be present when it terminates.
-  cuddZddSwapInPlace assumes that x &lt; y.  Returns the number of keys in
-  the table if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddZddSwapInPlace(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    DdNodePtr    *xlist, *ylist;
-    int        xindex, yindex;
-    int        xslots, yslots;
-    int        xshift, yshift;
-    int         oldxkeys, oldykeys;
-    int         newxkeys, newykeys;
-    int        i;
-    int        posn;
-    DdNode    *f, *f1, *f0, *f11, *f10, *f01, *f00;
-    DdNode    *newf1, *newf0, *next;
-    DdNodePtr    g, *lastP, *previousP;
-
-#ifdef DD_DEBUG
-    assert(x < y);
-    assert(cuddZddNextHigh(table,x) == y);
-    assert(table->subtableZ[x].keys != 0);
-    assert(table->subtableZ[y].keys != 0);
-    assert(table->subtableZ[x].dead == 0);
-    assert(table->subtableZ[y].dead == 0);
-#endif
-
-    zddTotalNumberSwapping++;
-
-    /* Get parameters of x subtable. */
-    xindex   = table->invpermZ[x];
-    xlist    = table->subtableZ[x].nodelist;
-    oldxkeys = table->subtableZ[x].keys;
-    xslots   = table->subtableZ[x].slots;
-    xshift   = table->subtableZ[x].shift;
-    newxkeys = 0;
-
-    yindex   = table->invpermZ[y];
-    ylist    = table->subtableZ[y].nodelist;
-    oldykeys = table->subtableZ[y].keys;
-    yslots   = table->subtableZ[y].slots;
-    yshift   = table->subtableZ[y].shift;
-    newykeys = oldykeys;
-
-    /* The nodes in the x layer that don't depend on y directly
-    ** will stay there; the others are put in a chain.
-    ** The chain is handled as a FIFO; g points to the beginning and
-    ** last points to the end.
-    */
-
-    g = NULL;
-    lastP = &g;
-    for (i = 0; i < xslots; i++) {
-    previousP = &(xlist[i]);
-    f = *previousP;
-    while (f != NULL) {
-        next = f->next;
-        f1 = cuddT(f); f0 = cuddE(f);
-        if ((f1->index != (DdHalfWord) yindex) &&
-        (f0->index != (DdHalfWord) yindex)) { /* stays */
-            newxkeys++;
-        *previousP = f;
-        previousP = &(f->next);
-        } else {
-        f->index = yindex;
-        *lastP = f;
-        lastP = &(f->next);
-        }
-        f = next;
-    } /* while there are elements in the collision chain */
-    *previousP = NULL;
-    } /* for each slot of the x subtable */
-    *lastP = NULL;
-
-
-#ifdef DD_COUNT
-    table->swapSteps += oldxkeys - newxkeys;
-#endif
-    /* Take care of the x nodes that must be re-expressed.
-    ** They form a linked list pointed by g. Their index has been
-    ** changed to yindex already.
-    */
-    f = g;
-    while (f != NULL) {
-    next = f->next;
-    /* Find f1, f0, f11, f10, f01, f00. */
-    f1 = cuddT(f);
-    if ((int) f1->index == yindex) {
-        f11 = cuddT(f1); f10 = cuddE(f1);
-    } else {
-        f11 = empty; f10 = f1;
-    }
-    f0 = cuddE(f);
-    if ((int) f0->index == yindex) {
-        f01 = cuddT(f0); f00 = cuddE(f0);
-    } else {
-        f01 = empty; f00 = f0;
-    }
-
-    /* Decrease ref count of f1. */
-    cuddSatDec(f1->ref);
-    /* Create the new T child. */
-    if (f11 == empty) {
-        if (f01 != empty) {
-        newf1 = f01;
-        cuddSatInc(newf1->ref);
-        }
-        /* else case was already handled when finding nodes
-        ** with both children below level y
-        */
-    } else {
-        /* Check xlist for triple (xindex, f11, f01). */
-        posn = ddHash(f11, f01, xshift);
-        /* For each element newf1 in collision list xlist[posn]. */
-        newf1 = xlist[posn];
-        while (newf1 != NULL) {
-        if (cuddT(newf1) == f11 && cuddE(newf1) == f01) {
-            cuddSatInc(newf1->ref);
-            break; /* match */
-        }
-        newf1 = newf1->next;
-        } /* while newf1 */
-        if (newf1 == NULL) {    /* no match */
-        newf1 = cuddDynamicAllocNode(table);
-        if (newf1 == NULL)
-            goto zddSwapOutOfMem;
-        newf1->index = xindex; newf1->ref = 1;
-        cuddT(newf1) = f11;
-        cuddE(newf1) = f01;
-        /* Insert newf1 in the collision list xlist[pos];
-        ** increase the ref counts of f11 and f01
-        */
-        newxkeys++;
-        newf1->next = xlist[posn];
-        xlist[posn] = newf1;
-        cuddSatInc(f11->ref);
-        cuddSatInc(f01->ref);
-        }
-    }
-    cuddT(f) = newf1;
-
-    /* Do the same for f0. */
-    /* Decrease ref count of f0. */
-    cuddSatDec(f0->ref);
-    /* Create the new E child. */
-    if (f10 == empty) {
-        newf0 = f00;
-        cuddSatInc(newf0->ref);
-    } else {
-        /* Check xlist for triple (xindex, f10, f00). */
-        posn = ddHash(f10, f00, xshift);
-        /* For each element newf0 in collision list xlist[posn]. */
-        newf0 = xlist[posn];
-        while (newf0 != NULL) {
-        if (cuddT(newf0) == f10 && cuddE(newf0) == f00) {
-            cuddSatInc(newf0->ref);
-            break; /* match */
-        }
-        newf0 = newf0->next;
-        } /* while newf0 */
-        if (newf0 == NULL) {    /* no match */
-        newf0 = cuddDynamicAllocNode(table);
-        if (newf0 == NULL)
-            goto zddSwapOutOfMem;
-        newf0->index = xindex; newf0->ref = 1;
-        cuddT(newf0) = f10; cuddE(newf0) = f00;
-        /* Insert newf0 in the collision list xlist[posn];
-        ** increase the ref counts of f10 and f00.
-        */
-        newxkeys++;
-        newf0->next = xlist[posn];
-        xlist[posn] = newf0;
-        cuddSatInc(f10->ref);
-        cuddSatInc(f00->ref);
-        }
-    }
-    cuddE(f) = newf0;
-
-    /* Insert the modified f in ylist.
-    ** The modified f does not already exists in ylist.
-    ** (Because of the uniqueness of the cofactors.)
-    */
-    posn = ddHash(newf1, newf0, yshift);
-    newykeys++;
-    f->next = ylist[posn];
-    ylist[posn] = f;
-    f = next;
-    } /* while f != NULL */
-
-    /* GC the y layer. */
-
-    /* For each node f in ylist. */
-    for (i = 0; i < yslots; i++) {
-    previousP = &(ylist[i]);
-    f = *previousP;
-    while (f != NULL) {
-        next = f->next;
-        if (f->ref == 0) {
-        cuddSatDec(cuddT(f)->ref);
-        cuddSatDec(cuddE(f)->ref);
-        cuddDeallocNode(table, f);
-        newykeys--;
-        } else {
-        *previousP = f;
-        previousP = &(f->next);
-        }
-        f = next;
-    } /* while f */
-    *previousP = NULL;
-    } /* for i */
-
-    /* Set the appropriate fields in table. */
-    table->subtableZ[x].nodelist = ylist;
-    table->subtableZ[x].slots    = yslots;
-    table->subtableZ[x].shift    = yshift;
-    table->subtableZ[x].keys     = newykeys;
-    table->subtableZ[x].maxKeys  = yslots * DD_MAX_SUBTABLE_DENSITY;
-
-    table->subtableZ[y].nodelist = xlist;
-    table->subtableZ[y].slots    = xslots;
-    table->subtableZ[y].shift    = xshift;
-    table->subtableZ[y].keys     = newxkeys;
-    table->subtableZ[y].maxKeys  = xslots * DD_MAX_SUBTABLE_DENSITY;
-
-    table->permZ[xindex] = y; table->permZ[yindex] = x;
-    table->invpermZ[x] = yindex; table->invpermZ[y] = xindex;
-
-    table->keysZ += newxkeys + newykeys - oldxkeys - oldykeys;
-
-    /* Update univ section; univ[x] remains the same. */
-    table->univ[y] = cuddT(table->univ[x]);
-
-    return (table->keysZ);
-
-zddSwapOutOfMem:
-    (void) fprintf(table->err, "Error: cuddZddSwapInPlace out of memory\n");
-
-    return (0);
-
-} /* end of cuddZddSwapInPlace */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders variables by a sequence of (non-adjacent) swaps.]
-
-  Description [Implementation of Plessier's algorithm that reorders
-  variables by a sequence of (non-adjacent) swaps.
-    <ol>
-    <li> Select two variables (RANDOM or HEURISTIC).
-    <li> Permute these variables.
-    <li> If the nodes have decreased accept the permutation.
-    <li> Otherwise reconstruct the original heap.
-    <li> Loop.
-    </ol>
-  Returns 1 in case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddZddSwapping(
-  DdManager * table,
-  int lower,
-  int upper,
-  Cudd_ReorderingType heuristic)
-{
-    int    i, j;
-    int max, keys;
-    int nvars;
-    int    x, y;
-    int iterate;
-    int previousSize;
-    Move *moves, *move;
-    int    pivot;
-    int modulo;
-    int result;
-
-#ifdef DD_DEBUG
-    /* Sanity check */
-    assert(lower >= 0 && upper < table->sizeZ && lower <= upper);
-#endif
-
-    nvars = upper - lower + 1;
-    iterate = nvars;
-
-    for (i = 0; i < iterate; i++) {
-    if (heuristic == CUDD_REORDER_RANDOM_PIVOT) {
-        /* Find pivot <= id with maximum keys. */
-        for (max = -1, j = lower; j <= upper; j++) {
-        if ((keys = table->subtableZ[j].keys) > max) {
-            max = keys;
-            pivot = j;
-        }
-        }
-
-        modulo = upper - pivot;
-        if (modulo == 0) {
-        y = pivot;    /* y = nvars-1 */
-        } else {
-        /* y = random # from {pivot+1 .. nvars-1} */
-        y = pivot + 1 + (int) (Cudd_Random() % modulo);
-        }
-
-        modulo = pivot - lower - 1;
-        if (modulo < 1) {    /* if pivot = 1 or 0 */
-        x = lower;
-        } else {
-        do { /* x = random # from {0 .. pivot-2} */
-            x = (int) Cudd_Random() % modulo;
-        } while (x == y);
-          /* Is this condition really needed, since x and y
-             are in regions separated by pivot? */
-        }
-    } else {
-        x = (int) (Cudd_Random() % nvars) + lower;
-        do {
-        y = (int) (Cudd_Random() % nvars) + lower;
-        } while (x == y);
-    }
-
-    previousSize = table->keysZ;
-    moves = zddSwapAny(table, x, y);
-    if (moves == NULL)
-        goto cuddZddSwappingOutOfMem;
-
-    result = cuddZddSiftingBackward(table, moves, previousSize);
-    if (!result)
-        goto cuddZddSwappingOutOfMem;
-
-    while (moves != NULL) {
-        move = moves->next;
-        cuddDeallocNode(table, (DdNode *) moves);
-        moves = move;
-    }
-#ifdef DD_STATS
-    if (table->keysZ < (unsigned) previousSize) {
-        (void) fprintf(table->out,"-");
-    } else if (table->keysZ > (unsigned) previousSize) {
-        (void) fprintf(table->out,"+");    /* should never happen */
-    } else {
-        (void) fprintf(table->out,"=");
-    }
-    fflush(table->out);
-#endif
-    }
-
-    return(1);
-
-cuddZddSwappingOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *) moves);
-    moves = move;
-    }
-    return(0);
-
-} /* end of cuddZddSwapping */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Implementation of Rudell's sifting algorithm.]
-
-  Description [Implementation of Rudell's sifting algorithm.
-  Assumes that no dead nodes are present.
-    <ol>
-    <li> Order all the variables according to the number of entries
-    in each unique table.
-    <li> Sift the variable up and down, remembering each time the
-    total size of the DD heap.
-    <li> Select the best permutation.
-    <li> Repeat 3 and 4 for all variables.
-    </ol>
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddZddSifting(
-  DdManager * table,
-  int  lower,
-  int  upper)
-{
-    int    i;
-    int    *var;
-    int    size;
-    int    x;
-    int    result;
-#ifdef DD_STATS
-    int    previousSize;
-#endif
-
-    size = table->sizeZ;
-
-    /* Find order in which to sift variables. */
-    var = NULL;
-    zdd_entry = ALLOC(int, size);
-    if (zdd_entry == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto cuddZddSiftingOutOfMem;
-    }
-    var = ALLOC(int, size);
-    if (var == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto cuddZddSiftingOutOfMem;
-    }
-
-    for (i = 0; i < size; i++) {
-    x = table->permZ[i];
-    zdd_entry[i] = table->subtableZ[x].keys;
-    var[i] = i;
-    }
-
-    qsort((void *)var, size, sizeof(int), (int (*)(const void *, const void *))cuddZddUniqueCompare);
-
-    /* Now sift. */
-    for (i = 0; i < ddMin(table->siftMaxVar, size); i++) {
-    if (zddTotalNumberSwapping >= table->siftMaxSwap)
-        break;
-    x = table->permZ[var[i]];
-    if (x < lower || x > upper) continue;
-#ifdef DD_STATS
-    previousSize = table->keysZ;
-#endif
-    result = cuddZddSiftingAux(table, x, lower, upper);
-    if (!result)
-        goto cuddZddSiftingOutOfMem;
-#ifdef DD_STATS
-    if (table->keysZ < (unsigned) previousSize) {
-        (void) fprintf(table->out,"-");
-    } else if (table->keysZ > (unsigned) previousSize) {
-        (void) fprintf(table->out,"+");    /* should never happen */
-        (void) fprintf(table->out,"\nSize increased from %d to %d while sifting variable %d\n", previousSize, table->keysZ , var[i]);
-    } else {
-        (void) fprintf(table->out,"=");
-    }
-    fflush(table->out);
-#endif
-    }
-
-    FREE(var);
-    FREE(zdd_entry);
-
-    return(1);
-
-cuddZddSiftingOutOfMem:
-
-    if (zdd_entry != NULL) FREE(zdd_entry);
-    if (var != NULL) FREE(var);
-
-    return(0);
-
-} /* end of cuddZddSifting */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Swaps any two variables.]
-
-  Description [Swaps any two variables. Returns the set of moves.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static Move *
-zddSwapAny(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    Move    *move, *moves;
-    int        tmp, size;
-    int        x_ref, y_ref;
-    int        x_next, y_next;
-    int        limit_size;
-
-    if (x > y) {    /* make x precede y */
-    tmp = x; x = y;    y = tmp;
-    }
-
-    x_ref = x; y_ref = y;
-
-    x_next = cuddZddNextHigh(table, x);
-    y_next = cuddZddNextLow(table, y);
-    moves = NULL;
-    limit_size = table->keysZ;
-
-    for (;;) {
-    if (x_next == y_next) {    /* x < x_next = y_next < y */
-        size = cuddZddSwapInPlace(table, x, x_next);
-        if (size == 0)
-        goto zddSwapAnyOutOfMem;
-        move = (Move *) cuddDynamicAllocNode(table);
-        if (move == NULL)
-        goto zddSwapAnyOutOfMem;
-        move->x = x;
-        move->y = x_next;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-
-        size = cuddZddSwapInPlace(table, y_next, y);
-        if (size == 0)
-        goto zddSwapAnyOutOfMem;
-        move = (Move *)cuddDynamicAllocNode(table);
-        if (move == NULL)
-        goto zddSwapAnyOutOfMem;
-        move->x = y_next;
-        move->y = y;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-
-        size = cuddZddSwapInPlace(table, x, x_next);
-        if (size == 0)
-        goto zddSwapAnyOutOfMem;
-        move = (Move *)cuddDynamicAllocNode(table);
-        if (move == NULL)
-        goto zddSwapAnyOutOfMem;
-        move->x = x;
-        move->y = x_next;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-
-        tmp = x; x = y; y = tmp;
-
-    } else if (x == y_next) { /* x = y_next < y = x_next */
-        size = cuddZddSwapInPlace(table, x, x_next);
-        if (size == 0)
-        goto zddSwapAnyOutOfMem;
-        move = (Move *)cuddDynamicAllocNode(table);
-        if (move == NULL)
-        goto zddSwapAnyOutOfMem;
-        move->x = x;
-        move->y = x_next;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-
-        tmp = x; x = y;  y = tmp;
-    } else {
-        size = cuddZddSwapInPlace(table, x, x_next);
-        if (size == 0)
-        goto zddSwapAnyOutOfMem;
-        move = (Move *)cuddDynamicAllocNode(table);
-        if (move == NULL)
-        goto zddSwapAnyOutOfMem;
-        move->x = x;
-        move->y = x_next;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-
-        size = cuddZddSwapInPlace(table, y_next, y);
-        if (size == 0)
-        goto zddSwapAnyOutOfMem;
-        move = (Move *)cuddDynamicAllocNode(table);
-        if (move == NULL)
-        goto zddSwapAnyOutOfMem;
-        move->x = y_next;
-        move->y = y;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-
-        x = x_next; y = y_next;
-    }
-
-    x_next = cuddZddNextHigh(table, x);
-    y_next = cuddZddNextLow(table, y);
-    if (x_next > y_ref)
-        break;    /* if x == y_ref */
-
-    if ((double) size > table->maxGrowth * (double) limit_size)
-        break;
-    if (size < limit_size)
-        limit_size = size;
-    }
-    if (y_next >= x_ref) {
-    size = cuddZddSwapInPlace(table, y_next, y);
-    if (size == 0)
-        goto zddSwapAnyOutOfMem;
-    move = (Move *)cuddDynamicAllocNode(table);
-    if (move == NULL)
-        goto zddSwapAnyOutOfMem;
-    move->x = y_next;
-    move->y = y;
-    move->size = size;
-    move->next = moves;
-    moves = move;
-    }
-
-    return(moves);
-
-zddSwapAnyOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *)moves);
-    moves = move;
-    }
-    return(NULL);
-
-} /* end of zddSwapAny */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Given xLow <= x <= xHigh moves x up and down between the
-  boundaries.]
-
-  Description [Given xLow <= x <= xHigh moves x up and down between the
-  boundaries. Finds the best position and does the required changes.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-cuddZddSiftingAux(
-  DdManager * table,
-  int  x,
-  int  x_low,
-  int  x_high)
-{
-    Move    *move;
-    Move    *moveUp;    /* list of up move */
-    Move    *moveDown;    /* list of down move */
-
-    int        initial_size;
-    int        result;
-
-    initial_size = table->keysZ;
-
-#ifdef DD_DEBUG
-    assert(table->subtableZ[x].keys > 0);
-#endif
-
-    moveDown = NULL;
-    moveUp = NULL;
-
-    if (x == x_low) {
-    moveDown = cuddZddSiftingDown(table, x, x_high, initial_size);
-    /* after that point x --> x_high */
-    if (moveDown == NULL)
-        goto cuddZddSiftingAuxOutOfMem;
-    result = cuddZddSiftingBackward(table, moveDown,
-        initial_size);
-    /* move backward and stop at best position */
-    if (!result)
-        goto cuddZddSiftingAuxOutOfMem;
-
-    }
-    else if (x == x_high) {
-    moveUp = cuddZddSiftingUp(table, x, x_low, initial_size);
-    /* after that point x --> x_low */
-    if (moveUp == NULL)
-        goto cuddZddSiftingAuxOutOfMem;
-    result = cuddZddSiftingBackward(table, moveUp, initial_size);
-    /* move backward and stop at best position */
-    if (!result)
-        goto cuddZddSiftingAuxOutOfMem;
-    }
-    else if ((x - x_low) > (x_high - x)) {
-    /* must go down first:shorter */
-    moveDown = cuddZddSiftingDown(table, x, x_high, initial_size);
-    /* after that point x --> x_high */
-    if (moveDown == NULL)
-        goto cuddZddSiftingAuxOutOfMem;
-    moveUp = cuddZddSiftingUp(table, moveDown->y, x_low,
-        initial_size);
-    if (moveUp == NULL)
-        goto cuddZddSiftingAuxOutOfMem;
-    result = cuddZddSiftingBackward(table, moveUp, initial_size);
-    /* move backward and stop at best position */
-    if (!result)
-        goto cuddZddSiftingAuxOutOfMem;
-    }
-    else {
-    moveUp = cuddZddSiftingUp(table, x, x_low, initial_size);
-    /* after that point x --> x_high */
-    if (moveUp == NULL)
-        goto cuddZddSiftingAuxOutOfMem;
-    moveDown = cuddZddSiftingDown(table, moveUp->x, x_high,
-        initial_size);
-    /* then move up */
-    if (moveDown == NULL)
-        goto cuddZddSiftingAuxOutOfMem;
-    result = cuddZddSiftingBackward(table, moveDown,
-        initial_size);
-    /* move backward and stop at best position */
-    if (!result)
-        goto cuddZddSiftingAuxOutOfMem;
-    }
-
-    while (moveDown != NULL) {
-    move = moveDown->next;
-    cuddDeallocNode(table, (DdNode *)moveDown);
-    moveDown = move;
-    }
-    while (moveUp != NULL) {
-    move = moveUp->next;
-    cuddDeallocNode(table, (DdNode *)moveUp);
-    moveUp = move;
-    }
-
-    return(1);
-
-cuddZddSiftingAuxOutOfMem:
-    while (moveDown != NULL) {
-    move = moveDown->next;
-    cuddDeallocNode(table, (DdNode *)moveDown);
-    moveDown = move;
-    }
-    while (moveUp != NULL) {
-    move = moveUp->next;
-    cuddDeallocNode(table, (DdNode *)moveUp);
-    moveUp = move;
-    }
-
-    return(0);
-
-} /* end of cuddZddSiftingAux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sifts a variable up.]
-
-  Description [Sifts a variable up. Moves y up until either it reaches
-  the bound (x_low) or the size of the ZDD heap increases too much.
-  Returns the set of moves in case of success; NULL if memory is full.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static Move *
-cuddZddSiftingUp(
-  DdManager * table,
-  int  x,
-  int  x_low,
-  int  initial_size)
-{
-    Move    *moves;
-    Move    *move;
-    int        y;
-    int        size;
-    int        limit_size = initial_size;
-
-    moves = NULL;
-    y = cuddZddNextLow(table, x);
-    while (y >= x_low) {
-    size = cuddZddSwapInPlace(table, y, x);
-    if (size == 0)
-        goto cuddZddSiftingUpOutOfMem;
-    move = (Move *)cuddDynamicAllocNode(table);
-    if (move == NULL)
-        goto cuddZddSiftingUpOutOfMem;
-    move->x = y;
-    move->y = x;
-    move->size = size;
-    move->next = moves;
-    moves = move;
-
-    if ((double)size > (double)limit_size * table->maxGrowth)
-        break;
-        if (size < limit_size)
-        limit_size = size;
-
-    x = y;
-    y = cuddZddNextLow(table, x);
-    }
-    return(moves);
-
-cuddZddSiftingUpOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *)moves);
-    moves = move;
-    }
-    return(NULL);
-
-} /* end of cuddZddSiftingUp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Sifts a variable down.]
-
-  Description [Sifts a variable down. Moves x down until either it
-  reaches the bound (x_high) or the size of the ZDD heap increases too
-  much. Returns the set of moves in case of success; NULL if memory is
-  full.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static Move *
-cuddZddSiftingDown(
-  DdManager * table,
-  int  x,
-  int  x_high,
-  int  initial_size)
-{
-    Move    *moves;
-    Move    *move;
-    int        y;
-    int        size;
-    int        limit_size = initial_size;
-
-    moves = NULL;
-    y = cuddZddNextHigh(table, x);
-    while (y <= x_high) {
-    size = cuddZddSwapInPlace(table, x, y);
-    if (size == 0)
-        goto cuddZddSiftingDownOutOfMem;
-    move = (Move *)cuddDynamicAllocNode(table);
-    if (move == NULL)
-        goto cuddZddSiftingDownOutOfMem;
-    move->x = x;
-    move->y = y;
-    move->size = size;
-    move->next = moves;
-    moves = move;
-
-    if ((double)size > (double)limit_size * table->maxGrowth)
-        break;
-        if (size < limit_size)
-        limit_size = size;
-
-    x = y;
-    y = cuddZddNextHigh(table, x);
-    }
-    return(moves);
-
-cuddZddSiftingDownOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *)moves);
-    moves = move;
-    }
-    return(NULL);
-
-} /* end of cuddZddSiftingDown */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Given a set of moves, returns the ZDD heap to the position
-  giving the minimum size.]
-
-  Description [Given a set of moves, returns the ZDD heap to the
-  position giving the minimum size. In case of ties, returns to the
-  closest position giving the minimum size. Returns 1 in case of
-  success; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-cuddZddSiftingBackward(
-  DdManager * table,
-  Move * moves,
-  int  size)
-{
-    int            i;
-    int        i_best;
-    Move    *move;
-    int        res;
-
-    /* Find the minimum size among moves. */
-    i_best = -1;
-    for (move = moves, i = 0; move != NULL; move = move->next, i++) {
-    if (move->size < size) {
-        i_best = i;
-        size = move->size;
-    }
-    }
-
-    for (move = moves, i = 0; move != NULL; move = move->next, i++) {
-    if (i == i_best)
-        break;
-    res = cuddZddSwapInPlace(table, move->x, move->y);
-    if (!res)
-        return(0);
-    if (i_best == -1 && res == size)
-        break;
-    }
-
-    return(1);
-
-} /* end of cuddZddSiftingBackward */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prepares the ZDD heap for dynamic reordering.]
-
-  Description [Prepares the ZDD heap for dynamic reordering. Does
-  garbage collection, to guarantee that there are no dead nodes;
-  and clears the cache, which is invalidated by dynamic reordering.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static void
-zddReorderPreprocess(
-  DdManager * table)
-{
-
-    /* Clear the cache. */
-    cuddCacheFlush(table);
-
-    /* Eliminate dead nodes. Do not scan the cache again. */
-    cuddGarbageCollectZdd(table,0);
-
-    return;
-
-} /* end of ddReorderPreprocess */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Shrinks almost empty ZDD subtables at the end of reordering
-  to guarantee that they have a reasonable load factor.]
-
-  Description [Shrinks almost empty subtables at the end of reordering to
-  guarantee that they have a reasonable load factor. However, if there many
-  nodes are being reclaimed, then no resizing occurs. Returns 1 in case of
-  success; 0 otherwise.]
-
-  SideEffects [None]
-
-******************************************************************************/
-static int
-zddReorderPostprocess(
-  DdManager * table)
-{
-    int i, j, posn;
-    DdNodePtr *nodelist, *oldnodelist;
-    DdNode *node, *next;
-    unsigned int slots, oldslots;
-    extern void (*MMoutOfMemory)(long);
-    void (*saveHandler)(long);
-
-#ifdef DD_VERBOSE
-    (void) fflush(table->out);
-#endif
-
-    /* If we have very many reclaimed nodes, we do not want to shrink
-    ** the subtables, because this will lead to more garbage
-    ** collections. More garbage collections mean shorter mean life for
-    ** nodes with zero reference count; hence lower probability of finding
-    ** a result in the cache.
-    */
-    if (table->reclaimed > table->allocated * 0.5) return(1);
-
-    /* Resize subtables. */
-    for (i = 0; i < table->sizeZ; i++) {
-    int shift;
-    oldslots = table->subtableZ[i].slots;
-    if (oldslots < table->subtableZ[i].keys * DD_MAX_SUBTABLE_SPARSITY ||
-        oldslots <= table->initSlots) continue;
-    oldnodelist = table->subtableZ[i].nodelist;
-    slots = oldslots >> 1;
-    saveHandler = MMoutOfMemory;
-    MMoutOfMemory = Cudd_OutOfMem;
-    nodelist = ALLOC(DdNodePtr, slots);
-    MMoutOfMemory = saveHandler;
-    if (nodelist == NULL) {
-        return(1);
-    }
-    table->subtableZ[i].nodelist = nodelist;
-    table->subtableZ[i].slots = slots;
-    table->subtableZ[i].shift++;
-    table->subtableZ[i].maxKeys = slots * DD_MAX_SUBTABLE_DENSITY;
-#ifdef DD_VERBOSE
-    (void) fprintf(table->err,
-               "shrunk layer %d (%d keys) from %d to %d slots\n",
-               i, table->subtableZ[i].keys, oldslots, slots);
-#endif
-
-    for (j = 0; (unsigned) j < slots; j++) {
-        nodelist[j] = NULL;
-    }
-    shift = table->subtableZ[i].shift;
-    for (j = 0; (unsigned) j < oldslots; j++) {
-        node = oldnodelist[j];
-        while (node != NULL) {
-        next = node->next;
-        posn = ddHash(cuddT(node), cuddE(node), shift);
-        node->next = nodelist[posn];
-        nodelist[posn] = node;
-        node = next;
-        }
-    }
-    FREE(oldnodelist);
-
-    table->memused += (slots - oldslots) * sizeof(DdNode *);
-    table->slots += slots - oldslots;
-    table->minDead = (unsigned) (table->gcFrac * (double) table->slots);
-    table->cacheSlack = (int) ddMin(table->maxCacheHard,
-        DD_MAX_CACHE_TO_SLOTS_RATIO*table->slots) -
-        2 * (int) table->cacheSlots;
-    }
-    /* We don't look at the constant subtable, because it is not
-    ** affected by reordering.
-    */
-
-    return(1);
-
-} /* end of zddReorderPostprocess */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Reorders ZDD variables according to a given permutation.]
-
-  Description [Reorders ZDD variables according to a given permutation.
-  The i-th permutation array contains the index of the variable that
-  should be brought to the i-th level. zddShuffle assumes that no
-  dead nodes are present.  The reordering is achieved by a series of
-  upward sifts.  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso []
-
-******************************************************************************/
-static int
-zddShuffle(
-  DdManager * table,
-  int * permutation)
-{
-    int        index;
-    int        level;
-    int        position;
-    int        numvars;
-    int        result;
-#ifdef DD_STATS
-    long    localTime;
-    int        initialSize;
-    int        finalSize;
-    int        previousSize;
-#endif
-
-    zddTotalNumberSwapping = 0;
-#ifdef DD_STATS
-    localTime = util_cpu_time();
-    initialSize = table->keysZ;
-    (void) fprintf(table->out,"#:I_SHUFFLE %8d: initial size\n",
-           initialSize); 
-#endif
-
-    numvars = table->sizeZ;
-
-    for (level = 0; level < numvars; level++) {
-    index = permutation[level];
-    position = table->permZ[index];
-#ifdef DD_STATS
-    previousSize = table->keysZ;
-#endif
-    result = zddSiftUp(table,position,level);
-    if (!result) return(0);
-#ifdef DD_STATS
-    if (table->keysZ < (unsigned) previousSize) {
-        (void) fprintf(table->out,"-");
-    } else if (table->keysZ > (unsigned) previousSize) {
-        (void) fprintf(table->out,"+");    /* should never happen */
-    } else {
-        (void) fprintf(table->out,"=");
-    }
-    fflush(table->out);
-#endif
-    }
-
-#ifdef DD_STATS
-    (void) fprintf(table->out,"\n");
-    finalSize = table->keysZ;
-    (void) fprintf(table->out,"#:F_SHUFFLE %8d: final size\n",finalSize); 
-    (void) fprintf(table->out,"#:T_SHUFFLE %8g: total time (sec)\n",
-    ((double)(util_cpu_time() - localTime)/1000.0)); 
-    (void) fprintf(table->out,"#:N_SHUFFLE %8d: total swaps\n",
-           zddTotalNumberSwapping);
-#endif
-
-    return(1);
-
-} /* end of zddShuffle */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Moves one ZDD variable up.]
-
-  Description [Takes a ZDD variable from position x and sifts it up to
-  position xLow;  xLow should be less than or equal to x.
-  Returns 1 if successful; 0 otherwise]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-zddSiftUp(
-  DdManager * table,
-  int  x,
-  int  xLow)
-{
-    int        y;
-    int        size;
-
-    y = cuddZddNextLow(table,x);
-    while (y >= xLow) {
-    size = cuddZddSwapInPlace(table,y,x);
-    if (size == 0) {
-        return(0);
-    }
-    x = y;
-    y = cuddZddNextLow(table,x);
-    }
-    return(1);
-
-} /* end of zddSiftUp */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Fixes the ZDD variable group tree after a shuffle.]
-
-  Description [Fixes the ZDD variable group tree after a
-  shuffle. Assumes that the order of the variables in a terminal node
-  has not been changed.]
-
-  SideEffects [Changes the ZDD variable group tree.]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-zddFixTree(
-  DdManager * table,
-  MtrNode * treenode)
-{
-    if (treenode == NULL) return;
-    treenode->low = ((int) treenode->index < table->sizeZ) ?
-    table->permZ[treenode->index] : treenode->index;
-    if (treenode->child != NULL) {
-    zddFixTree(table, treenode->child);
-    }
-    if (treenode->younger != NULL)
-    zddFixTree(table, treenode->younger);
-    if (treenode->parent != NULL && treenode->low < treenode->parent->low) {
-    treenode->parent->low = treenode->low;
-    treenode->parent->index = treenode->index;
-    }
-    return;
-
-} /* end of zddFixTree */
-
diff --git a/src/bdd/cudd/cuddZddSetop.c b/src/bdd/cudd/cuddZddSetop.c
deleted file mode 100644
index f1bd72f3..00000000
--- a/src/bdd/cudd/cuddZddSetop.c
+++ /dev/null
@@ -1,1137 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddZddSetop.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Set operations on ZDDs.]
-
-  Description [External procedures included in this module:
-            <ul>
-            <li> Cudd_zddIte()
-            <li> Cudd_zddUnion()
-            <li> Cudd_zddIntersect()
-            <li> Cudd_zddDiff()
-            <li> Cudd_zddDiffConst()
-            <li> Cudd_zddSubset1()
-            <li> Cudd_zddSubset0()
-            <li> Cudd_zddChange()
-            </ul>
-           Internal procedures included in this module:
-            <ul>
-            <li> cuddZddIte()
-            <li> cuddZddUnion()
-            <li> cuddZddIntersect()
-            <li> cuddZddDiff()
-            <li> cuddZddChangeAux()
-            <li> cuddZddSubset1()
-            <li> cuddZddSubset0()
-            </ul>
-           Static procedures included in this module:
-            <ul>
-            <li> zdd_subset1_aux()
-            <li> zdd_subset0_aux()
-            <li> zddVarToConst()
-            </ul>
-          ]
-
-  SeeAlso     []
-
-  Author      [Hyong-Kyoon Shin, In-Ho Moon]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddZddSetop.c,v 1.1.1.1 2003/02/24 22:23:54 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static DdNode * zdd_subset1_aux ARGS((DdManager *zdd, DdNode *P, DdNode *zvar));
-static DdNode * zdd_subset0_aux ARGS((DdManager *zdd, DdNode *P, DdNode *zvar));
-static void zddVarToConst ARGS((DdNode *f, DdNode **gp, DdNode **hp, DdNode *base, DdNode *empty));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Computes the ITE of three ZDDs.]
-
-  Description [Computes the ITE of three ZDDs. Returns a pointer to the
-  result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-Cudd_zddIte(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g,
-  DdNode * h)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddZddIte(dd, f, g, h);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_zddIte */
-
-
-/**Function********************************************************************
-
-  Synopsis [Computes the union of two ZDDs.]
-
-  Description [Computes the union of two ZDDs. Returns a pointer to the
-  result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-Cudd_zddUnion(
-  DdManager * dd,
-  DdNode * P,
-  DdNode * Q)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddZddUnion(dd, P, Q);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_zddUnion */
-
-
-/**Function********************************************************************
-
-  Synopsis [Computes the intersection of two ZDDs.]
-
-  Description [Computes the intersection of two ZDDs. Returns a pointer to
-  the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-Cudd_zddIntersect(
-  DdManager * dd,
-  DdNode * P,
-  DdNode * Q)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddZddIntersect(dd, P, Q);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_zddIntersect */
-
-
-/**Function********************************************************************
-
-  Synopsis [Computes the difference of two ZDDs.]
-
-  Description [Computes the difference of two ZDDs. Returns a pointer to the
-  result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddDiffConst]
-
-******************************************************************************/
-DdNode *
-Cudd_zddDiff(
-  DdManager * dd,
-  DdNode * P,
-  DdNode * Q)
-{
-    DdNode *res;
-
-    do {
-    dd->reordered = 0;
-    res = cuddZddDiff(dd, P, Q);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_zddDiff */
-
-
-/**Function********************************************************************
-
-  Synopsis [Performs the inclusion test for ZDDs (P implies Q).]
-
-  Description [Inclusion test for ZDDs (P implies Q). No new nodes are
-  generated by this procedure. Returns empty if true;
-  a valid pointer different from empty or DD_NON_CONSTANT otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddDiff]
-
-******************************************************************************/
-DdNode *
-Cudd_zddDiffConst(
-  DdManager * zdd,
-  DdNode * P,
-  DdNode * Q)
-{
-    int        p_top, q_top;
-    DdNode    *empty = DD_ZERO(zdd), *t, *res;
-    DdManager    *table = zdd;
-
-    statLine(zdd);
-    if (P == empty)
-    return(empty);
-    if (Q == empty)
-    return(P);
-    if (P == Q)
-    return(empty);
-
-    /* Check cache.  The cache is shared by cuddZddDiff(). */
-    res = cuddCacheLookup2Zdd(table, cuddZddDiff, P, Q);
-    if (res != NULL)
-    return(res);
-
-    if (cuddIsConstant(P))
-    p_top = P->index;
-    else
-    p_top = zdd->permZ[P->index];
-    if (cuddIsConstant(Q))
-    q_top = Q->index;
-    else
-    q_top = zdd->permZ[Q->index];
-    if (p_top < q_top) {
-    res = DD_NON_CONSTANT;
-    } else if (p_top > q_top) {
-    res = Cudd_zddDiffConst(zdd, P, cuddE(Q));
-    } else {
-    t = Cudd_zddDiffConst(zdd, cuddT(P), cuddT(Q));
-    if (t != empty)
-        res = DD_NON_CONSTANT;
-    else
-        res = Cudd_zddDiffConst(zdd, cuddE(P), cuddE(Q));
-    }
-
-    cuddCacheInsert2(table, cuddZddDiff, P, Q, res);
-
-    return(res);
-
-} /* end of Cudd_zddDiffConst */
-
-
-/**Function********************************************************************
-
-  Synopsis [Computes the positive cofactor of a ZDD w.r.t. a variable.]
-
-  Description [Computes the positive cofactor of a ZDD w.r.t. a
-  variable. In terms of combinations, the result is the set of all
-  combinations in which the variable is asserted. Returns a pointer to
-  the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddSubset0]
-
-******************************************************************************/
-DdNode *
-Cudd_zddSubset1(
-  DdManager * dd,
-  DdNode * P,
-  int  var)
-{
-    DdNode    *r;
-
-    do {
-    dd->reordered = 0;
-    r = cuddZddSubset1(dd, P, var);
-    } while (dd->reordered == 1);
-
-    return(r);
-
-} /* end of Cudd_zddSubset1 */
-
-
-/**Function********************************************************************
-
-  Synopsis [Computes the negative cofactor of a ZDD w.r.t. a variable.]
-
-  Description [Computes the negative cofactor of a ZDD w.r.t. a
-  variable. In terms of combinations, the result is the set of all
-  combinations in which the variable is negated. Returns a pointer to
-  the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddSubset1]
-
-******************************************************************************/
-DdNode *
-Cudd_zddSubset0(
-  DdManager * dd,
-  DdNode * P,
-  int  var)
-{
-    DdNode    *r;
-
-    do {
-    dd->reordered = 0;
-    r = cuddZddSubset0(dd, P, var);
-    } while (dd->reordered == 1);
-
-    return(r);
-
-} /* end of Cudd_zddSubset0 */
-
-
-/**Function********************************************************************
-
-  Synopsis [Substitutes a variable with its complement in a ZDD.]
-
-  Description [Substitutes a variable with its complement in a ZDD.
-  returns a pointer to the result if successful; NULL otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-Cudd_zddChange(
-  DdManager * dd,
-  DdNode * P,
-  int  var)
-{
-    DdNode    *res;
-
-    if ((unsigned int) var >= CUDD_MAXINDEX - 1) return(NULL);
-    
-    do {
-    dd->reordered = 0;
-    res = cuddZddChange(dd, P, var);
-    } while (dd->reordered == 1);
-    return(res);
-
-} /* end of Cudd_zddChange */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_zddIte.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-cuddZddIte(
-  DdManager * dd,
-  DdNode * f,
-  DdNode * g,
-  DdNode * h)
-{
-    DdNode *tautology, *empty;
-    DdNode *r,*Gv,*Gvn,*Hv,*Hvn,*t,*e;
-    unsigned int topf,topg,toph,v,top;
-    int index;
-
-    statLine(dd);
-    /* Trivial cases. */
-    /* One variable cases. */
-    if (f == (empty = DD_ZERO(dd))) {    /* ITE(0,G,H) = H */
-    return(h);
-    }
-    topf = cuddIZ(dd,f->index);
-    topg = cuddIZ(dd,g->index);
-    toph = cuddIZ(dd,h->index);
-    v = ddMin(topg,toph);
-    top  = ddMin(topf,v);
-
-    tautology = (top == CUDD_MAXINDEX) ? DD_ONE(dd) : dd->univ[top];
-    if (f == tautology) {            /* ITE(1,G,H) = G */
-        return(g);
-    }
-
-    /* From now on, f is known to not be a constant. */
-    zddVarToConst(f,&g,&h,tautology,empty);
-
-    /* Check remaining one variable cases. */
-    if (g == h) {            /* ITE(F,G,G) = G */
-    return(g);
-    }
-
-    if (g == tautology) {            /* ITE(F,1,0) = F */
-    if (h == empty) return(f);
-    }
-
-    /* Check cache. */
-    r = cuddCacheLookupZdd(dd,DD_ZDD_ITE_TAG,f,g,h);
-    if (r != NULL) {
-    return(r);
-    }
-
-    /* Recompute these because they may have changed in zddVarToConst. */
-    topg = cuddIZ(dd,g->index);
-    toph = cuddIZ(dd,h->index);
-    v = ddMin(topg,toph);
-
-    if (topf < v) {
-    r = cuddZddIte(dd,cuddE(f),g,h);
-    if (r == NULL) return(NULL);
-    } else if (topf > v) {
-    if (topg > v) {
-        Gvn = g;
-        index = h->index;
-    } else {
-        Gvn = cuddE(g);
-        index = g->index;
-    }
-    if (toph > v) {
-        Hv = empty; Hvn = h;
-    } else {
-        Hv = cuddT(h); Hvn = cuddE(h);
-    }
-    e = cuddZddIte(dd,f,Gvn,Hvn);
-    if (e == NULL) return(NULL);
-    cuddRef(e);
-    r = cuddZddGetNode(dd,index,Hv,e);
-    if (r == NULL) {
-        Cudd_RecursiveDerefZdd(dd,e);
-        return(NULL);
-    }
-    cuddDeref(e);
-    } else {
-    index = f->index;
-    if (topg > v) {
-        Gv = empty; Gvn = g;
-    } else {
-        Gv = cuddT(g); Gvn = cuddE(g);
-    }
-    if (toph > v) {
-        Hv = empty; Hvn = h;
-    } else {
-        Hv = cuddT(h); Hvn = cuddE(h);
-    }
-    e = cuddZddIte(dd,cuddE(f),Gvn,Hvn);
-    if (e == NULL) return(NULL);
-    cuddRef(e);
-    t = cuddZddIte(dd,cuddT(f),Gv,Hv);
-    if (t == NULL) {
-        Cudd_RecursiveDerefZdd(dd,e);
-        return(NULL);
-    }
-    cuddRef(t);
-    r = cuddZddGetNode(dd,index,t,e);
-    if (r == NULL) {
-        Cudd_RecursiveDerefZdd(dd,e);
-        Cudd_RecursiveDerefZdd(dd,t);
-        return(NULL);
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-    }
-
-    cuddCacheInsert(dd,DD_ZDD_ITE_TAG,f,g,h,r);
-
-    return(r);
-
-} /* end of cuddZddIte */
-
-
-/**Function********************************************************************
-
-  Synopsis [Performs the recursive step of Cudd_zddUnion.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-cuddZddUnion(
-  DdManager * zdd,
-  DdNode * P,
-  DdNode * Q)
-{
-    int        p_top, q_top;
-    DdNode    *empty = DD_ZERO(zdd), *t, *e, *res;
-    DdManager    *table = zdd;
-
-    statLine(zdd);
-    if (P == empty)
-    return(Q);
-    if (Q == empty)
-    return(P);
-    if (P == Q)
-    return(P);
-
-    /* Check cache */
-    res = cuddCacheLookup2Zdd(table, cuddZddUnion, P, Q);
-    if (res != NULL)
-    return(res);
-
-    if (cuddIsConstant(P))
-    p_top = P->index;
-    else
-    p_top = zdd->permZ[P->index];
-    if (cuddIsConstant(Q))
-    q_top = Q->index;
-    else
-    q_top = zdd->permZ[Q->index];
-    if (p_top < q_top) {
-    e = cuddZddUnion(zdd, cuddE(P), Q);
-    if (e == NULL) return (NULL);
-    cuddRef(e);
-    res = cuddZddGetNode(zdd, P->index, cuddT(P), e);
-    if (res == NULL) {
-        Cudd_RecursiveDerefZdd(table, e);
-        return(NULL);
-    }
-    cuddDeref(e);
-    } else if (p_top > q_top) {
-    e = cuddZddUnion(zdd, P, cuddE(Q));
-    if (e == NULL) return(NULL);
-    cuddRef(e);
-    res = cuddZddGetNode(zdd, Q->index, cuddT(Q), e);
-    if (res == NULL) {
-        Cudd_RecursiveDerefZdd(table, e);
-        return(NULL);
-    }
-    cuddDeref(e);
-    } else {
-    t = cuddZddUnion(zdd, cuddT(P), cuddT(Q));
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-    e = cuddZddUnion(zdd, cuddE(P), cuddE(Q));
-    if (e == NULL) {
-        Cudd_RecursiveDerefZdd(table, t);
-        return(NULL);
-    }
-    cuddRef(e);
-    res = cuddZddGetNode(zdd, P->index, t, e);
-    if (res == NULL) {
-        Cudd_RecursiveDerefZdd(table, t);
-        Cudd_RecursiveDerefZdd(table, e);
-        return(NULL);
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-    }
-
-    cuddCacheInsert2(table, cuddZddUnion, P, Q, res);
-
-    return(res);
-
-} /* end of cuddZddUnion */
-
-
-/**Function********************************************************************
-
-  Synopsis [Performs the recursive step of Cudd_zddIntersect.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-cuddZddIntersect(
-  DdManager * zdd,
-  DdNode * P,
-  DdNode * Q)
-{
-    int        p_top, q_top;
-    DdNode    *empty = DD_ZERO(zdd), *t, *e, *res;
-    DdManager    *table = zdd;
-
-    statLine(zdd);
-    if (P == empty)
-    return(empty);
-    if (Q == empty)
-    return(empty);
-    if (P == Q)
-    return(P);
-
-    /* Check cache. */
-    res = cuddCacheLookup2Zdd(table, cuddZddIntersect, P, Q);
-    if (res != NULL)
-    return(res);
-
-    if (cuddIsConstant(P))
-    p_top = P->index;
-    else
-    p_top = zdd->permZ[P->index];
-    if (cuddIsConstant(Q))
-    q_top = Q->index;
-    else
-    q_top = zdd->permZ[Q->index];
-    if (p_top < q_top) {
-    res = cuddZddIntersect(zdd, cuddE(P), Q);
-    if (res == NULL) return(NULL);
-    } else if (p_top > q_top) {
-    res = cuddZddIntersect(zdd, P, cuddE(Q));
-    if (res == NULL) return(NULL);
-    } else {
-    t = cuddZddIntersect(zdd, cuddT(P), cuddT(Q));
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-    e = cuddZddIntersect(zdd, cuddE(P), cuddE(Q));
-    if (e == NULL) {
-        Cudd_RecursiveDerefZdd(table, t);
-        return(NULL);
-    }
-    cuddRef(e);
-    res = cuddZddGetNode(zdd, P->index, t, e);
-    if (res == NULL) {
-        Cudd_RecursiveDerefZdd(table, t);
-        Cudd_RecursiveDerefZdd(table, e);
-        return(NULL);
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-    }
-
-    cuddCacheInsert2(table, cuddZddIntersect, P, Q, res);
-
-    return(res);
-
-} /* end of cuddZddIntersect */
-
-
-/**Function********************************************************************
-
-  Synopsis [Performs the recursive step of Cudd_zddDiff.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-cuddZddDiff(
-  DdManager * zdd,
-  DdNode * P,
-  DdNode * Q)
-{
-    int        p_top, q_top;
-    DdNode    *empty = DD_ZERO(zdd), *t, *e, *res;
-    DdManager    *table = zdd;
-
-    statLine(zdd);
-    if (P == empty)
-    return(empty);
-    if (Q == empty)
-    return(P);
-    if (P == Q)
-    return(empty);
-
-    /* Check cache.  The cache is shared by Cudd_zddDiffConst(). */
-    res = cuddCacheLookup2Zdd(table, cuddZddDiff, P, Q);
-    if (res != NULL && res != DD_NON_CONSTANT)
-    return(res);
-
-    if (cuddIsConstant(P))
-    p_top = P->index;
-    else
-    p_top = zdd->permZ[P->index];
-    if (cuddIsConstant(Q))
-    q_top = Q->index;
-    else
-    q_top = zdd->permZ[Q->index];
-    if (p_top < q_top) {
-    e = cuddZddDiff(zdd, cuddE(P), Q);
-    if (e == NULL) return(NULL);
-    cuddRef(e);
-    res = cuddZddGetNode(zdd, P->index, cuddT(P), e);
-    if (res == NULL) {
-        Cudd_RecursiveDerefZdd(table, e);
-        return(NULL);
-    }
-    cuddDeref(e);
-    } else if (p_top > q_top) {
-    res = cuddZddDiff(zdd, P, cuddE(Q));
-    if (res == NULL) return(NULL);
-    } else {
-    t = cuddZddDiff(zdd, cuddT(P), cuddT(Q));
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-    e = cuddZddDiff(zdd, cuddE(P), cuddE(Q));
-    if (e == NULL) {
-        Cudd_RecursiveDerefZdd(table, t);
-        return(NULL);
-    }
-    cuddRef(e);
-    res = cuddZddGetNode(zdd, P->index, t, e);
-    if (res == NULL) {
-        Cudd_RecursiveDerefZdd(table, t);
-        Cudd_RecursiveDerefZdd(table, e);
-        return(NULL);
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-    }
-
-    cuddCacheInsert2(table, cuddZddDiff, P, Q, res);
-
-    return(res);
-
-} /* end of cuddZddDiff */
-
-
-/**Function********************************************************************
-
-  Synopsis [Performs the recursive step of Cudd_zddChange.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-DdNode *
-cuddZddChangeAux(
-  DdManager * zdd,
-  DdNode * P,
-  DdNode * zvar)
-{
-    int        top_var, level;
-    DdNode    *res, *t, *e;
-    DdNode    *base = DD_ONE(zdd);
-    DdNode    *empty = DD_ZERO(zdd);
-
-    statLine(zdd);
-    if (P == empty)
-    return(empty);
-    if (P == base)
-    return(zvar);
-
-    /* Check cache. */
-    res = cuddCacheLookup2Zdd(zdd, cuddZddChangeAux, P, zvar);
-    if (res != NULL)
-    return(res);
-
-    top_var = zdd->permZ[P->index];
-    level = zdd->permZ[zvar->index];
-
-    if (top_var > level) {
-    res = cuddZddGetNode(zdd, zvar->index, P, DD_ZERO(zdd));
-    if (res == NULL) return(NULL);
-    } else if (top_var == level) {
-    res = cuddZddGetNode(zdd, zvar->index, cuddE(P), cuddT(P));
-    if (res == NULL) return(NULL);
-    } else {
-    t = cuddZddChangeAux(zdd, cuddT(P), zvar);
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-    e = cuddZddChangeAux(zdd, cuddE(P), zvar);
-    if (e == NULL) {
-        Cudd_RecursiveDerefZdd(zdd, t);
-        return(NULL);
-    }
-    cuddRef(e);
-    res = cuddZddGetNode(zdd, P->index, t, e);
-    if (res == NULL) {
-        Cudd_RecursiveDerefZdd(zdd, t);
-        Cudd_RecursiveDerefZdd(zdd, e);
-        return(NULL);
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-    }
-
-    cuddCacheInsert2(zdd, cuddZddChangeAux, P, zvar, res);
-
-    return(res);
-
-} /* end of cuddZddChangeAux */
-
-
-/**Function********************************************************************
-
-  Synopsis [Computes the positive cofactor of a ZDD w.r.t. a variable.]
-
-  Description [Computes the positive cofactor of a ZDD w.r.t. a
-  variable. In terms of combinations, the result is the set of all
-  combinations in which the variable is asserted. Returns a pointer to
-  the result if successful; NULL otherwise. cuddZddSubset1 performs
-  the same function as Cudd_zddSubset1, but does not restart if
-  reordering has taken place. Therefore it can be called from within a
-  recursive procedure.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddZddSubset0 Cudd_zddSubset1]
-
-******************************************************************************/
-DdNode *
-cuddZddSubset1(
-  DdManager * dd,
-  DdNode * P,
-  int  var)
-{
-    DdNode    *zvar, *r;
-    DdNode    *base, *empty;
-
-    base = DD_ONE(dd);
-    empty = DD_ZERO(dd);
-
-    zvar = cuddUniqueInterZdd(dd, var, base, empty);
-    if (zvar == NULL) {
-    return(NULL);
-    } else {
-    cuddRef(zvar);
-    r = zdd_subset1_aux(dd, P, zvar);
-    if (r == NULL) {
-        Cudd_RecursiveDerefZdd(dd, zvar);
-        return(NULL);
-    }
-    cuddRef(r);
-    Cudd_RecursiveDerefZdd(dd, zvar);
-    }
-
-    cuddDeref(r);
-    return(r);
-
-} /* end of cuddZddSubset1 */
-
-
-/**Function********************************************************************
-
-  Synopsis [Computes the negative cofactor of a ZDD w.r.t. a variable.]
-
-  Description [Computes the negative cofactor of a ZDD w.r.t. a
-  variable. In terms of combinations, the result is the set of all
-  combinations in which the variable is negated. Returns a pointer to
-  the result if successful; NULL otherwise. cuddZddSubset0 performs
-  the same function as Cudd_zddSubset0, but does not restart if
-  reordering has taken place. Therefore it can be called from within a
-  recursive procedure.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddZddSubset1 Cudd_zddSubset0]
-
-******************************************************************************/
-DdNode *
-cuddZddSubset0(
-  DdManager * dd,
-  DdNode * P,
-  int  var)
-{
-    DdNode    *zvar, *r;
-    DdNode    *base, *empty;
-
-    base = DD_ONE(dd);
-    empty = DD_ZERO(dd);
-
-    zvar = cuddUniqueInterZdd(dd, var, base, empty);
-    if (zvar == NULL) {
-    return(NULL);
-    } else {
-    cuddRef(zvar);
-    r = zdd_subset0_aux(dd, P, zvar);
-    if (r == NULL) {
-        Cudd_RecursiveDerefZdd(dd, zvar);
-        return(NULL);
-    }
-    cuddRef(r);
-    Cudd_RecursiveDerefZdd(dd, zvar);
-    }
-
-    cuddDeref(r);
-    return(r);
-
-} /* end of cuddZddSubset0 */
-
-
-/**Function********************************************************************
-
-  Synopsis [Substitutes a variable with its complement in a ZDD.]
-
-  Description [Substitutes a variable with its complement in a ZDD.
-  returns a pointer to the result if successful; NULL
-  otherwise. cuddZddChange performs the same function as
-  Cudd_zddChange, but does not restart if reordering has taken
-  place. Therefore it can be called from within a recursive
-  procedure.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddChange]
-
-******************************************************************************/
-DdNode *
-cuddZddChange(
-  DdManager * dd,
-  DdNode * P,
-  int  var)
-{
-    DdNode    *zvar, *res;
-
-    zvar = cuddUniqueInterZdd(dd, var, DD_ONE(dd), DD_ZERO(dd));
-    if (zvar == NULL) return(NULL);
-    cuddRef(zvar);
-
-    res = cuddZddChangeAux(dd, P, zvar);
-    if (res == NULL) {
-    Cudd_RecursiveDerefZdd(dd,zvar);
-    return(NULL);
-    }
-    cuddRef(res);
-    Cudd_RecursiveDerefZdd(dd,zvar);
-    cuddDeref(res);
-    return(res);
-
-} /* end of cuddZddChange */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Performs the recursive step of Cudd_zddSubset1.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static DdNode *
-zdd_subset1_aux(
-  DdManager * zdd,
-  DdNode * P,
-  DdNode * zvar)
-{
-    int        top_var, level;
-    DdNode    *res, *t, *e;
-    DdNode    *base, *empty;
-
-    statLine(zdd);
-    base = DD_ONE(zdd);
-    empty = DD_ZERO(zdd);
-
-    /* Check cache. */
-    res = cuddCacheLookup2Zdd(zdd, zdd_subset1_aux, P, zvar);
-    if (res != NULL)
-    return(res);
-
-    if (cuddIsConstant(P)) {
-    res = empty;
-    cuddCacheInsert2(zdd, zdd_subset1_aux, P, zvar, res);
-    return(res);
-    }
-
-    top_var = zdd->permZ[P->index];
-    level = zdd->permZ[zvar->index];
-
-    if (top_var > level) {
-        res = empty;
-    } else if (top_var == level) {
-    res = cuddT(P);
-    } else {
-        t = zdd_subset1_aux(zdd, cuddT(P), zvar);
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-        e = zdd_subset1_aux(zdd, cuddE(P), zvar);
-    if (e == NULL) {
-        Cudd_RecursiveDerefZdd(zdd, t);
-        return(NULL);
-    }
-    cuddRef(e);
-        res = cuddZddGetNode(zdd, P->index, t, e);
-    if (res == NULL) {
-        Cudd_RecursiveDerefZdd(zdd, t);
-        Cudd_RecursiveDerefZdd(zdd, e);
-        return(NULL);
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-    }
-
-    cuddCacheInsert2(zdd, zdd_subset1_aux, P, zvar, res);
-
-    return(res);
-
-} /* end of zdd_subset1_aux */
-
-
-/**Function********************************************************************
-
-  Synopsis [Performs the recursive step of Cudd_zddSubset0.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static DdNode *
-zdd_subset0_aux(
-  DdManager * zdd,
-  DdNode * P,
-  DdNode * zvar)
-{
-    int        top_var, level;
-    DdNode    *res, *t, *e;
-    DdNode    *base, *empty;
-
-    statLine(zdd);
-    base = DD_ONE(zdd);
-    empty = DD_ZERO(zdd);
-
-    /* Check cache. */
-    res = cuddCacheLookup2Zdd(zdd, zdd_subset0_aux, P, zvar);
-    if (res != NULL)
-    return(res);
-
-    if (cuddIsConstant(P)) {
-    res = P;
-    cuddCacheInsert2(zdd, zdd_subset0_aux, P, zvar, res);
-    return(res);
-    }
-
-    top_var = zdd->permZ[P->index];
-    level = zdd->permZ[zvar->index];
-
-    if (top_var > level) {
-        res = P;
-    }
-    else if (top_var == level) {
-        res = cuddE(P);
-    }
-    else {
-        t = zdd_subset0_aux(zdd, cuddT(P), zvar);
-    if (t == NULL) return(NULL);
-    cuddRef(t);
-        e = zdd_subset0_aux(zdd, cuddE(P), zvar);
-    if (e == NULL) {
-        Cudd_RecursiveDerefZdd(zdd, t);
-        return(NULL);
-    }
-    cuddRef(e);
-        res = cuddZddGetNode(zdd, P->index, t, e);
-    if (res == NULL) {
-        Cudd_RecursiveDerefZdd(zdd, t);
-        Cudd_RecursiveDerefZdd(zdd, e);
-        return(NULL);
-    }
-    cuddDeref(t);
-    cuddDeref(e);
-    }
-
-    cuddCacheInsert2(zdd, zdd_subset0_aux, P, zvar, res);
-
-    return(res);
-
-} /* end of zdd_subset0_aux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Replaces variables with constants if possible (part of
-  canonical form).]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-zddVarToConst(
-  DdNode * f,
-  DdNode ** gp,
-  DdNode ** hp,
-  DdNode * base,
-  DdNode * empty)
-{
-    DdNode *g = *gp;
-    DdNode *h = *hp;
-
-    if (f == g) { /* ITE(F,F,H) = ITE(F,1,H) = F + H */
-    *gp = base;
-    }
-
-    if (f == h) { /* ITE(F,G,F) = ITE(F,G,0) = F * G */
-    *hp = empty;
-    }
-
-} /* end of zddVarToConst */
-
diff --git a/src/bdd/cudd/cuddZddSymm.c b/src/bdd/cudd/cuddZddSymm.c
deleted file mode 100644
index 54019892..00000000
--- a/src/bdd/cudd/cuddZddSymm.c
+++ /dev/null
@@ -1,1677 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddZddSymm.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Functions for symmetry-based ZDD variable reordering.]
-
-  Description [External procedures included in this module:
-            <ul>
-            <li> Cudd_zddSymmProfile()
-            </ul>
-           Internal procedures included in this module:
-            <ul>
-            <li> cuddZddSymmCheck()
-            <li> cuddZddSymmSifting()
-            <li> cuddZddSymmSiftingConv()
-            </ul>
-           Static procedures included in this module:
-            <ul>
-            <li> cuddZddUniqueCompare()
-            <li> cuddZddSymmSiftingAux()
-            <li> cuddZddSymmSiftingConvAux()
-            <li> cuddZddSymmSifting_up()
-            <li> cuddZddSymmSifting_down()
-            <li> zdd_group_move()
-            <li> cuddZddSymmSiftingBackward()
-            <li> zdd_group_move_backward()
-            </ul>
-          ]
-
-  SeeAlso     [cuddSymmetry.c]
-
-  Author      [Hyong-Kyoon Shin, In-Ho Moon]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#define ZDD_MV_OOM (Move *)1
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddZddSymm.c,v 1.1.1.1 2003/02/24 22:23:54 wjiang Exp $";
-#endif
-
-extern int       *zdd_entry;
-
-extern int    zddTotalNumberSwapping;
-
-static DdNode    *empty;
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int cuddZddSymmSiftingAux ARGS((DdManager *table, int x, int x_low, int x_high));
-static int cuddZddSymmSiftingConvAux ARGS((DdManager *table, int x, int x_low, int x_high));
-static Move * cuddZddSymmSifting_up ARGS((DdManager *table, int x, int x_low, int initial_size));
-static Move * cuddZddSymmSifting_down ARGS((DdManager *table, int x, int x_high, int initial_size));
-static int cuddZddSymmSiftingBackward ARGS((DdManager *table, Move *moves, int size));
-static int zdd_group_move ARGS((DdManager *table, int x, int y, Move **moves));
-static int zdd_group_move_backward ARGS((DdManager *table, int x, int y));
-static void cuddZddSymmSummary ARGS((DdManager *table, int lower, int upper, int *symvars, int *symgroups));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Prints statistics on symmetric ZDD variables.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-void
-Cudd_zddSymmProfile(
-  DdManager * table,
-  int  lower,
-  int  upper)
-{
-    int        i, x, gbot;
-    int        TotalSymm = 0;
-    int     TotalSymmGroups = 0;
-    int     nvars;
-
-    nvars = table->sizeZ;
-
-    for (i = lower; i < upper; i++) {
-    if (table->subtableZ[i].next != (unsigned) i) {
-        x = i;
-        (void) fprintf(table->out,"Group:");
-        do {
-        (void) fprintf(table->out,"  %d", table->invpermZ[x]);
-        TotalSymm++;
-        gbot = x;
-        x = table->subtableZ[x].next;
-        } while (x != i);
-        TotalSymmGroups++;
-#ifdef DD_DEBUG
-        assert(table->subtableZ[gbot].next == (unsigned) i);
-#endif
-        i = gbot;
-        (void) fprintf(table->out,"\n");
-    }
-    }
-    (void) fprintf(table->out,"Total Symmetric = %d\n", TotalSymm);
-    (void) fprintf(table->out,"Total Groups = %d\n", TotalSymmGroups);
-
-} /* end of Cudd_zddSymmProfile */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Checks for symmetry of x and y.]
-
-  Description [Checks for symmetry of x and y. Ignores projection
-  functions, unless they are isolated. Returns 1 in case of
-  symmetry; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-cuddZddSymmCheck(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    int        i;
-    DdNode    *f, *f0, *f1, *f01, *f00, *f11, *f10;
-    int        yindex;
-    int     xsymmy = 1;
-    int        xsymmyp = 1;
-    int     arccount = 0;
-    int     TotalRefCount = 0;
-    int     symm_found;
-
-    empty = table->zero;
-
-    yindex = table->invpermZ[y];
-    for (i = table->subtableZ[x].slots - 1; i >= 0; i--) {
-    f = table->subtableZ[x].nodelist[i];
-    while (f != NULL) {
-        /* Find f1, f0, f11, f10, f01, f00 */
-        f1 = cuddT(f);
-        f0 = cuddE(f);
-        if ((int) f1->index == yindex) {
-        f11 = cuddT(f1);
-        f10 = cuddE(f1);
-        if (f10 != empty)
-            arccount++;
-        } else {
-        if ((int) f0->index != yindex) {
-            return(0); /* f bypasses layer y */
-        }
-        f11 = empty;
-        f10 = f1;
-        }
-        if ((int) f0->index == yindex) {
-        f01 = cuddT(f0);
-        f00 = cuddE(f0);
-        if (f00 != empty)
-            arccount++;
-        } else {
-        f01 = empty;
-        f00 = f0;
-        }
-        if (f01 != f10)
-        xsymmy = 0;
-        if (f11 != f00)
-        xsymmyp = 0;
-        if ((xsymmy == 0) && (xsymmyp == 0))
-        return(0);
-
-        f = f->next;
-    } /* for each element of the collision list */
-    } /* for each slot of the subtable */
-
-    /* Calculate the total reference counts of y
-    ** whose else arc is not empty.
-    */
-    for (i = table->subtableZ[y].slots - 1; i >= 0; i--) {
-    f = table->subtableZ[y].nodelist[i];
-    while (f != NIL(DdNode)) {
-        if (cuddE(f) != empty)
-        TotalRefCount += f->ref;
-        f = f->next;
-    }
-    }
-
-    symm_found = (arccount == TotalRefCount);
-#if defined(DD_DEBUG) && defined(DD_VERBOSE)
-    if (symm_found) {
-    int xindex = table->invpermZ[x];
-    (void) fprintf(table->out,
-               "Found symmetry! x =%d\ty = %d\tPos(%d,%d)\n",
-               xindex,yindex,x,y);
-    }
-#endif
-
-    return(symm_found);
-
-} /* end cuddZddSymmCheck */
-
-
-/**Function********************************************************************
-
-  Synopsis [Symmetric sifting algorithm for ZDDs.]
-
-  Description [Symmetric sifting algorithm.
-  Assumes that no dead nodes are present.
-    <ol>
-    <li> Order all the variables according to the number of entries in
-    each unique subtable.
-    <li> Sift the variable up and down, remembering each time the total
-    size of the ZDD heap and grouping variables that are symmetric.
-    <li> Select the best permutation.
-    <li> Repeat 3 and 4 for all variables.
-    </ol>
-  Returns 1 plus the number of symmetric variables if successful; 0
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddZddSymmSiftingConv]
-
-******************************************************************************/
-int
-cuddZddSymmSifting(
-  DdManager * table,
-  int  lower,
-  int  upper)
-{
-    int        i;
-    int        *var;
-    int        nvars;
-    int        x;
-    int        result;
-    int        symvars;
-    int        symgroups;
-    int        iteration;
-#ifdef DD_STATS
-    int        previousSize;
-#endif
-
-    nvars = table->sizeZ;
-
-    /* Find order in which to sift variables. */
-    var = NULL;
-    zdd_entry = ALLOC(int, nvars);
-    if (zdd_entry == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto cuddZddSymmSiftingOutOfMem;
-    }
-    var = ALLOC(int, nvars);
-    if (var == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto cuddZddSymmSiftingOutOfMem;
-    }
-
-    for (i = 0; i < nvars; i++) {
-    x = table->permZ[i];
-    zdd_entry[i] = table->subtableZ[x].keys;
-    var[i] = i;
-    }
-
-    qsort((void *)var, nvars, sizeof(int), (int (*)(const void *, const void *))cuddZddUniqueCompare);
-
-    /* Initialize the symmetry of each subtable to itself. */
-    for (i = lower; i <= upper; i++)
-    table->subtableZ[i].next = i;
-
-    iteration = ddMin(table->siftMaxVar, nvars);
-    for (i = 0; i < iteration; i++) {
-    if (zddTotalNumberSwapping >= table->siftMaxSwap)
-        break;
-    x = table->permZ[var[i]];
-#ifdef DD_STATS
-    previousSize = table->keysZ;
-#endif
-    if (x < lower || x > upper) continue;
-    if (table->subtableZ[x].next == (unsigned) x) {
-        result = cuddZddSymmSiftingAux(table, x, lower, upper);
-        if (!result)
-        goto cuddZddSymmSiftingOutOfMem;
-#ifdef DD_STATS
-        if (table->keysZ < (unsigned) previousSize) {
-        (void) fprintf(table->out,"-");
-        } else if (table->keysZ > (unsigned) previousSize) {
-        (void) fprintf(table->out,"+");
-#ifdef DD_VERBOSE
-        (void) fprintf(table->out,"\nSize increased from %d to %d while sifting variable %d\n", previousSize, table->keysZ, var[i]);
-#endif
-        } else {
-        (void) fprintf(table->out,"=");
-        }
-        fflush(table->out);
-#endif
-    }
-    }
-
-    FREE(var);
-    FREE(zdd_entry);
-
-    cuddZddSymmSummary(table, lower, upper, &symvars, &symgroups);
-
-#ifdef DD_STATS
-    (void) fprintf(table->out,"\n#:S_SIFTING %8d: symmetric variables\n",symvars);
-    (void) fprintf(table->out,"#:G_SIFTING %8d: symmetric groups\n",symgroups);
-#endif
-
-    return(1+symvars);
-
-cuddZddSymmSiftingOutOfMem:
-
-    if (zdd_entry != NULL)
-    FREE(zdd_entry);
-    if (var != NULL)
-    FREE(var);
-
-    return(0);
-
-} /* end of cuddZddSymmSifting */
-
-
-/**Function********************************************************************
-
-  Synopsis [Symmetric sifting to convergence algorithm for ZDDs.]
-
-  Description [Symmetric sifting to convergence algorithm for ZDDs.
-  Assumes that no dead nodes are present.
-    <ol>
-    <li> Order all the variables according to the number of entries in
-    each unique subtable.
-    <li> Sift the variable up and down, remembering each time the total
-    size of the ZDD heap and grouping variables that are symmetric.
-    <li> Select the best permutation.
-    <li> Repeat 3 and 4 for all variables.
-    <li> Repeat 1-4 until no further improvement.
-    </ol>
-  Returns 1 plus the number of symmetric variables if successful; 0
-  otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [cuddZddSymmSifting]
-
-******************************************************************************/
-int
-cuddZddSymmSiftingConv(
-  DdManager * table,
-  int  lower,
-  int  upper)
-{
-    int        i;
-    int        *var;
-    int        nvars;
-    int        initialSize;
-    int        x;
-    int        result;
-    int        symvars;
-    int        symgroups;
-    int        classes;
-    int        iteration;
-#ifdef DD_STATS
-    int         previousSize;
-#endif
-
-    initialSize = table->keysZ;
-
-    nvars = table->sizeZ;
-
-    /* Find order in which to sift variables. */
-    var = NULL;
-    zdd_entry = ALLOC(int, nvars);
-    if (zdd_entry == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto cuddZddSymmSiftingConvOutOfMem;
-    }
-    var = ALLOC(int, nvars);
-    if (var == NULL) {
-    table->errorCode = CUDD_MEMORY_OUT;
-    goto cuddZddSymmSiftingConvOutOfMem;
-    }
-
-    for (i = 0; i < nvars; i++) {
-    x = table->permZ[i];
-    zdd_entry[i] = table->subtableZ[x].keys;
-    var[i] = i;
-    }
-
-    qsort((void *)var, nvars, sizeof(int), (int (*)(const void *, const void *))cuddZddUniqueCompare);
-
-    /* Initialize the symmetry of each subtable to itself
-    ** for first pass of converging symmetric sifting.
-    */
-    for (i = lower; i <= upper; i++)
-    table->subtableZ[i].next = i;
-
-    iteration = ddMin(table->siftMaxVar, table->sizeZ);
-    for (i = 0; i < iteration; i++) {
-    if (zddTotalNumberSwapping >= table->siftMaxSwap)
-        break;
-    x = table->permZ[var[i]];
-    if (x < lower || x > upper) continue;
-    /* Only sift if not in symmetry group already. */
-    if (table->subtableZ[x].next == (unsigned) x) {
-#ifdef DD_STATS
-        previousSize = table->keysZ;
-#endif
-        result = cuddZddSymmSiftingAux(table, x, lower, upper);
-        if (!result)
-        goto cuddZddSymmSiftingConvOutOfMem;
-#ifdef DD_STATS
-        if (table->keysZ < (unsigned) previousSize) {
-        (void) fprintf(table->out,"-");
-        } else if (table->keysZ > (unsigned) previousSize) {
-        (void) fprintf(table->out,"+");
-#ifdef DD_VERBOSE
-        (void) fprintf(table->out,"\nSize increased from %d to %d while sifting variable %d\n", previousSize, table->keysZ, var[i]);
-#endif
-        } else {
-        (void) fprintf(table->out,"=");
-        }
-        fflush(table->out);
-#endif
-    }
-    }
-
-    /* Sifting now until convergence. */
-    while ((unsigned) initialSize > table->keysZ) {
-    initialSize = table->keysZ;
-#ifdef DD_STATS
-    (void) fprintf(table->out,"\n");
-#endif
-    /* Here we consider only one representative for each symmetry class. */
-    for (x = lower, classes = 0; x <= upper; x++, classes++) {
-        while ((unsigned) x < table->subtableZ[x].next)
-        x = table->subtableZ[x].next;
-        /* Here x is the largest index in a group.
-        ** Groups consists of adjacent variables.
-        ** Hence, the next increment of x will move it to a new group.
-        */
-        i = table->invpermZ[x];
-        zdd_entry[i] = table->subtableZ[x].keys;
-        var[classes] = i;
-    }
-
-    qsort((void *)var,classes,sizeof(int),(int (*)(const void *, const void *))cuddZddUniqueCompare);
-
-    /* Now sift. */
-    iteration = ddMin(table->siftMaxVar, nvars);
-    for (i = 0; i < iteration; i++) {
-        if (zddTotalNumberSwapping >= table->siftMaxSwap)
-        break;
-        x = table->permZ[var[i]];
-        if ((unsigned) x >= table->subtableZ[x].next) {
-#ifdef DD_STATS
-        previousSize = table->keysZ;
-#endif
-        result = cuddZddSymmSiftingConvAux(table, x, lower, upper);
-        if (!result)
-            goto cuddZddSymmSiftingConvOutOfMem;
-#ifdef DD_STATS
-        if (table->keysZ < (unsigned) previousSize) {
-            (void) fprintf(table->out,"-");
-        } else if (table->keysZ > (unsigned) previousSize) {
-            (void) fprintf(table->out,"+");
-#ifdef DD_VERBOSE
-        (void) fprintf(table->out,"\nSize increased from %d to %d while sifting variable %d\n", previousSize, table->keysZ, var[i]);
-#endif
-        } else {
-            (void) fprintf(table->out,"=");
-        }
-        fflush(table->out);
-#endif
-        }
-    } /* for */
-    }
-
-    cuddZddSymmSummary(table, lower, upper, &symvars, &symgroups);
-
-#ifdef DD_STATS
-    (void) fprintf(table->out,"\n#:S_SIFTING %8d: symmetric variables\n",
-           symvars);
-    (void) fprintf(table->out,"#:G_SIFTING %8d: symmetric groups\n",
-           symgroups);
-#endif
-
-    FREE(var);
-    FREE(zdd_entry);
-
-    return(1+symvars);
-
-cuddZddSymmSiftingConvOutOfMem:
-
-    if (zdd_entry != NULL)
-    FREE(zdd_entry);
-    if (var != NULL)
-    FREE(var);
-
-    return(0);
-
-} /* end of cuddZddSymmSiftingConv */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Given x_low <= x <= x_high moves x up and down between the
-  boundaries.]
-
-  Description [Given x_low <= x <= x_high moves x up and down between the
-  boundaries. Finds the best position and does the required changes.
-  Assumes that x is not part of a symmetry group. Returns 1 if
-  successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-cuddZddSymmSiftingAux(
-  DdManager * table,
-  int  x,
-  int  x_low,
-  int  x_high)
-{
-    Move *move;
-    Move *move_up;    /* list of up move */
-    Move *move_down;    /* list of down move */
-    int     initial_size;
-    int     result;
-    int     i;
-    int  topbot;    /* index to either top or bottom of symmetry group */
-    int     init_group_size, final_group_size;
-
-    initial_size = table->keysZ;
-
-    move_down = NULL;
-    move_up = NULL;
-
-    /* Look for consecutive symmetries above x. */
-    for (i = x; i > x_low; i--) {
-    if (!cuddZddSymmCheck(table, i - 1, i))
-            break;
-    /* find top of i-1's symmetry */
-    topbot = table->subtableZ[i - 1].next;
-    table->subtableZ[i - 1].next = i;
-    table->subtableZ[x].next = topbot;
-    /* x is bottom of group so its symmetry is top of i-1's
-       group */
-    i = topbot + 1; /* add 1 for i--, new i is top of symm group */
-    }
-    /* Look for consecutive symmetries below x. */
-    for (i = x; i < x_high; i++) {
-    if (!cuddZddSymmCheck(table, i, i + 1))
-            break;
-    /* find bottom of i+1's symm group */
-    topbot = i + 1;
-    while ((unsigned) topbot < table->subtableZ[topbot].next)
-        topbot = table->subtableZ[topbot].next;
-
-    table->subtableZ[topbot].next = table->subtableZ[i].next;
-    table->subtableZ[i].next = i + 1;
-    i = topbot - 1; /* add 1 for i++,
-               new i is bottom of symm group */
-    }
-
-    /* Now x maybe in the middle of a symmetry group. */
-    if (x == x_low) { /* Sift down */
-    /* Find bottom of x's symm group */
-    while ((unsigned) x < table->subtableZ[x].next)
-        x = table->subtableZ[x].next;
-
-    i = table->subtableZ[x].next;
-    init_group_size = x - i + 1;
-
-    move_down = cuddZddSymmSifting_down(table, x, x_high,
-        initial_size);
-    /* after that point x --> x_high, unless early term */
-    if (move_down == ZDD_MV_OOM)
-        goto cuddZddSymmSiftingAuxOutOfMem;
-
-    if (move_down == NULL ||
-        table->subtableZ[move_down->y].next != move_down->y) {
-        /* symmetry detected may have to make another complete
-           pass */
-            if (move_down != NULL)
-        x = move_down->y;
-        else
-        x = table->subtableZ[x].next;
-        i = x;
-        while ((unsigned) i < table->subtableZ[i].next) {
-        i = table->subtableZ[i].next;
-        }
-        final_group_size = i - x + 1;
-
-        if (init_group_size == final_group_size) {
-        /* No new symmetry groups detected,
-           return to best position */
-        result = cuddZddSymmSiftingBackward(table,
-            move_down, initial_size);
-        }
-        else {
-        initial_size = table->keysZ;
-        move_up = cuddZddSymmSifting_up(table, x, x_low,
-            initial_size);
-        result = cuddZddSymmSiftingBackward(table, move_up,
-            initial_size);
-        }
-    }
-    else {
-        result = cuddZddSymmSiftingBackward(table, move_down,
-        initial_size);
-        /* move backward and stop at best position */
-    }
-    if (!result)
-        goto cuddZddSymmSiftingAuxOutOfMem;
-    }
-    else if (x == x_high) { /* Sift up */
-    /* Find top of x's symm group */
-    while ((unsigned) x < table->subtableZ[x].next)
-        x = table->subtableZ[x].next;
-    x = table->subtableZ[x].next;
-
-    i = x;
-    while ((unsigned) i < table->subtableZ[i].next) {
-        i = table->subtableZ[i].next;
-    }
-    init_group_size = i - x + 1;
-
-    move_up = cuddZddSymmSifting_up(table, x, x_low, initial_size);
-    /* after that point x --> x_low, unless early term */
-    if (move_up == ZDD_MV_OOM)
-        goto cuddZddSymmSiftingAuxOutOfMem;
-
-    if (move_up == NULL ||
-        table->subtableZ[move_up->x].next != move_up->x) {
-        /* symmetry detected may have to make another complete
-        pass */
-            if (move_up != NULL)
-        x = move_up->x;
-        else {
-        while ((unsigned) x < table->subtableZ[x].next)
-            x = table->subtableZ[x].next;
-        }
-        i = table->subtableZ[x].next;
-        final_group_size = x - i + 1;
-
-        if (init_group_size == final_group_size) {
-        /* No new symmetry groups detected,
-           return to best position */
-        result = cuddZddSymmSiftingBackward(table, move_up,
-            initial_size);
-        }
-        else {
-        initial_size = table->keysZ;
-        move_down = cuddZddSymmSifting_down(table, x, x_high,
-            initial_size);
-        result = cuddZddSymmSiftingBackward(table, move_down,
-            initial_size);
-        }
-    }
-    else {
-        result = cuddZddSymmSiftingBackward(table, move_up,
-        initial_size);
-        /* move backward and stop at best position */
-    }
-    if (!result)
-        goto cuddZddSymmSiftingAuxOutOfMem;
-    }
-    else if ((x - x_low) > (x_high - x)) { /* must go down first:
-                        shorter */
-    /* Find bottom of x's symm group */
-    while ((unsigned) x < table->subtableZ[x].next)
-        x = table->subtableZ[x].next;
-
-    move_down = cuddZddSymmSifting_down(table, x, x_high,
-        initial_size);
-    /* after that point x --> x_high, unless early term */
-    if (move_down == ZDD_MV_OOM)
-        goto cuddZddSymmSiftingAuxOutOfMem;
-
-    if (move_down != NULL) {
-        x = move_down->y;
-    }
-    else {
-        x = table->subtableZ[x].next;
-    }
-    i = x;
-    while ((unsigned) i < table->subtableZ[i].next) {
-        i = table->subtableZ[i].next;
-    }
-    init_group_size = i - x + 1;
-
-    move_up = cuddZddSymmSifting_up(table, x, x_low, initial_size);
-    if (move_up == ZDD_MV_OOM)
-        goto cuddZddSymmSiftingAuxOutOfMem;
-
-    if (move_up == NULL ||
-        table->subtableZ[move_up->x].next != move_up->x) {
-        /* symmetry detected may have to make another complete
-           pass */
-        if (move_up != NULL) {
-        x = move_up->x;
-        }
-        else {
-        while ((unsigned) x < table->subtableZ[x].next)
-            x = table->subtableZ[x].next;
-        }
-        i = table->subtableZ[x].next;
-        final_group_size = x - i + 1;
-
-        if (init_group_size == final_group_size) {
-        /* No new symmetry groups detected,
-           return to best position */
-        result = cuddZddSymmSiftingBackward(table, move_up,
-            initial_size);
-        }
-        else {
-        while (move_down != NULL) {
-            move = move_down->next;
-            cuddDeallocNode(table, (DdNode *)move_down);
-            move_down = move;
-        }
-        initial_size = table->keysZ;
-        move_down = cuddZddSymmSifting_down(table, x, x_high,
-            initial_size);
-        result = cuddZddSymmSiftingBackward(table, move_down,
-            initial_size);
-        }
-    }
-    else {
-        result = cuddZddSymmSiftingBackward(table, move_up,
-        initial_size);
-        /* move backward and stop at best position */
-    }
-    if (!result)
-        goto cuddZddSymmSiftingAuxOutOfMem;
-    }
-    else { /* moving up first:shorter */
-        /* Find top of x's symmetry group */
-    while ((unsigned) x < table->subtableZ[x].next)
-        x = table->subtableZ[x].next;
-    x = table->subtableZ[x].next;
-
-    move_up = cuddZddSymmSifting_up(table, x, x_low, initial_size);
-    /* after that point x --> x_high, unless early term */
-    if (move_up == ZDD_MV_OOM)
-        goto cuddZddSymmSiftingAuxOutOfMem;
-
-    if (move_up != NULL) {
-        x = move_up->x;
-    }
-    else {
-        while ((unsigned) x < table->subtableZ[x].next)
-        x = table->subtableZ[x].next;
-    }
-    i = table->subtableZ[x].next;
-    init_group_size = x - i + 1;
-
-    move_down = cuddZddSymmSifting_down(table, x, x_high,
-        initial_size);
-    if (move_down == ZDD_MV_OOM)
-        goto cuddZddSymmSiftingAuxOutOfMem;
-
-    if (move_down == NULL ||
-        table->subtableZ[move_down->y].next != move_down->y) {
-        /* symmetry detected may have to make another complete
-           pass */
-            if (move_down != NULL) {
-        x = move_down->y;
-        }
-        else {
-        x = table->subtableZ[x].next;
-        }
-        i = x;
-        while ((unsigned) i < table->subtableZ[i].next) {
-        i = table->subtableZ[i].next;
-        }
-        final_group_size = i - x + 1;
-
-        if (init_group_size == final_group_size) {
-        /* No new symmetries detected,
-           go back to best position */
-        result = cuddZddSymmSiftingBackward(table, move_down,
-            initial_size);
-        }
-        else {
-        while (move_up != NULL) {
-            move = move_up->next;
-            cuddDeallocNode(table, (DdNode *)move_up);
-            move_up = move;
-        }
-        initial_size = table->keysZ;
-        move_up = cuddZddSymmSifting_up(table, x, x_low,
-            initial_size);
-        result = cuddZddSymmSiftingBackward(table, move_up,
-            initial_size);
-        }
-    }
-    else {
-        result = cuddZddSymmSiftingBackward(table, move_down,
-        initial_size);
-        /* move backward and stop at best position */
-    }
-    if (!result)
-        goto cuddZddSymmSiftingAuxOutOfMem;
-    }
-
-    while (move_down != NULL) {
-    move = move_down->next;
-    cuddDeallocNode(table, (DdNode *)move_down);
-    move_down = move;
-    }
-    while (move_up != NULL) {
-    move = move_up->next;
-    cuddDeallocNode(table, (DdNode *)move_up);
-    move_up = move;
-    }
-
-    return(1);
-
-cuddZddSymmSiftingAuxOutOfMem:
-    if (move_down != ZDD_MV_OOM) {
-    while (move_down != NULL) {
-        move = move_down->next;
-        cuddDeallocNode(table, (DdNode *)move_down);
-        move_down = move;
-    }
-    }
-    if (move_up != ZDD_MV_OOM) {
-    while (move_up != NULL) {
-        move = move_up->next;
-        cuddDeallocNode(table, (DdNode *)move_up);
-        move_up = move;
-    }
-    }
-
-    return(0);
-
-} /* end of cuddZddSymmSiftingAux */
-
-
-/**Function********************************************************************
-
-  Synopsis [Given x_low <= x <= x_high moves x up and down between the
-  boundaries.]
-
-  Description [Given x_low <= x <= x_high moves x up and down between the
-  boundaries. Finds the best position and does the required changes.
-  Assumes that x is either an isolated variable, or it is the bottom of
-  a symmetry group. All symmetries may not have been found, because of
-  exceeded growth limit. Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-cuddZddSymmSiftingConvAux(
-  DdManager * table,
-  int  x,
-  int  x_low,
-  int  x_high)
-{
-    Move    *move;
-    Move    *move_up;    /* list of up move */
-    Move    *move_down;    /* list of down move */
-    int        initial_size;
-    int        result;
-    int        i;
-    int        init_group_size, final_group_size;
-
-    initial_size = table->keysZ;
-
-    move_down = NULL;
-    move_up = NULL;
-
-    if (x == x_low) { /* Sift down */
-        i = table->subtableZ[x].next;
-    init_group_size = x - i + 1;
-
-    move_down = cuddZddSymmSifting_down(table, x, x_high,
-        initial_size);
-    /* after that point x --> x_high, unless early term */
-    if (move_down == ZDD_MV_OOM)
-        goto cuddZddSymmSiftingConvAuxOutOfMem;
-
-    if (move_down == NULL ||
-        table->subtableZ[move_down->y].next != move_down->y) {
-        /* symmetry detected may have to make another complete
-        pass */
-            if (move_down != NULL)
-        x = move_down->y;
-        else {
-        while ((unsigned) x < table->subtableZ[x].next);
-            x = table->subtableZ[x].next;
-        x = table->subtableZ[x].next;
-        }
-        i = x;
-        while ((unsigned) i < table->subtableZ[i].next) {
-        i = table->subtableZ[i].next;
-        }
-        final_group_size = i - x + 1;
-
-        if (init_group_size == final_group_size) {
-        /* No new symmetries detected,
-           go back to best position */
-        result = cuddZddSymmSiftingBackward(table, move_down,
-            initial_size);
-        }
-        else {
-        initial_size = table->keysZ;
-        move_up = cuddZddSymmSifting_up(table, x, x_low,
-            initial_size);
-        result = cuddZddSymmSiftingBackward(table, move_up,
-            initial_size);
-        }
-    }
-    else {
-        result = cuddZddSymmSiftingBackward(table, move_down,
-        initial_size);
-        /* move backward and stop at best position */
-    }
-    if (!result)
-        goto cuddZddSymmSiftingConvAuxOutOfMem;
-    }
-    else if (x == x_high) { /* Sift up */
-    /* Find top of x's symm group */
-    while ((unsigned) x < table->subtableZ[x].next)
-        x = table->subtableZ[x].next;
-    x = table->subtableZ[x].next;
-
-    i = x;
-    while ((unsigned) i < table->subtableZ[i].next) {
-        i = table->subtableZ[i].next;
-    }
-    init_group_size = i - x + 1;
-
-    move_up = cuddZddSymmSifting_up(table, x, x_low, initial_size);
-    /* after that point x --> x_low, unless early term */
-    if (move_up == ZDD_MV_OOM)
-        goto cuddZddSymmSiftingConvAuxOutOfMem;
-
-    if (move_up == NULL ||
-        table->subtableZ[move_up->x].next != move_up->x) {
-        /* symmetry detected may have to make another complete
-           pass */
-            if (move_up != NULL)
-        x = move_up->x;
-        else {
-        while ((unsigned) x < table->subtableZ[x].next)
-            x = table->subtableZ[x].next;
-        }
-        i = table->subtableZ[x].next;
-        final_group_size = x - i + 1;
-
-        if (init_group_size == final_group_size) {
-        /* No new symmetry groups detected,
-           return to best position */
-        result = cuddZddSymmSiftingBackward(table, move_up,
-            initial_size);
-        }
-        else {
-        initial_size = table->keysZ;
-        move_down = cuddZddSymmSifting_down(table, x, x_high,
-            initial_size);
-        result = cuddZddSymmSiftingBackward(table, move_down,
-            initial_size);
-        }
-    }
-    else {
-        result = cuddZddSymmSiftingBackward(table, move_up,
-        initial_size);
-        /* move backward and stop at best position */
-    }
-    if (!result)
-        goto cuddZddSymmSiftingConvAuxOutOfMem;
-    }
-    else if ((x - x_low) > (x_high - x)) { /* must go down first:
-                        shorter */
-    move_down = cuddZddSymmSifting_down(table, x, x_high,
-        initial_size);
-    /* after that point x --> x_high */
-    if (move_down == ZDD_MV_OOM)
-        goto cuddZddSymmSiftingConvAuxOutOfMem;
-
-    if (move_down != NULL) {
-        x = move_down->y;
-    }
-    else {
-        while ((unsigned) x < table->subtableZ[x].next)
-        x = table->subtableZ[x].next;
-        x = table->subtableZ[x].next;
-    }
-    i = x;
-    while ((unsigned) i < table->subtableZ[i].next) {
-        i = table->subtableZ[i].next;
-    }
-    init_group_size = i - x + 1;
-
-    move_up = cuddZddSymmSifting_up(table, x, x_low, initial_size);
-    if (move_up == ZDD_MV_OOM)
-        goto cuddZddSymmSiftingConvAuxOutOfMem;
-
-    if (move_up == NULL ||
-        table->subtableZ[move_up->x].next != move_up->x) {
-        /* symmetry detected may have to make another complete
-           pass */
-        if (move_up != NULL) {
-        x = move_up->x;
-        }
-        else {
-        while ((unsigned) x < table->subtableZ[x].next)
-            x = table->subtableZ[x].next;
-        }
-            i = table->subtableZ[x].next;
-            final_group_size = x - i + 1;
-
-            if (init_group_size == final_group_size) {
-        /* No new symmetry groups detected,
-           return to best position */
-                result = cuddZddSymmSiftingBackward(table, move_up,
-            initial_size);
-            }
-        else {
-        while (move_down != NULL) {
-            move = move_down->next;
-            cuddDeallocNode(table, (DdNode *)move_down);
-            move_down = move;
-        }
-        initial_size = table->keysZ;
-        move_down = cuddZddSymmSifting_down(table, x, x_high,
-            initial_size);
-        result = cuddZddSymmSiftingBackward(table, move_down,
-            initial_size);
-        }
-    }
-    else {
-        result = cuddZddSymmSiftingBackward(table, move_up,
-        initial_size);
-        /* move backward and stop at best position */
-    }
-    if (!result)
-        goto cuddZddSymmSiftingConvAuxOutOfMem;
-    }
-    else { /* moving up first:shorter */
-    /* Find top of x's symmetry group */
-    x = table->subtableZ[x].next;
-
-    move_up = cuddZddSymmSifting_up(table, x, x_low, initial_size);
-    /* after that point x --> x_high, unless early term */
-    if (move_up == ZDD_MV_OOM)
-        goto cuddZddSymmSiftingConvAuxOutOfMem;
-
-    if (move_up != NULL) {
-        x = move_up->x;
-    }
-    else {
-        while ((unsigned) x < table->subtableZ[x].next)
-        x = table->subtableZ[x].next;
-    }
-        i = table->subtableZ[x].next;
-        init_group_size = x - i + 1;
-
-    move_down = cuddZddSymmSifting_down(table, x, x_high,
-        initial_size);
-    if (move_down == ZDD_MV_OOM)
-        goto cuddZddSymmSiftingConvAuxOutOfMem;
-
-    if (move_down == NULL ||
-        table->subtableZ[move_down->y].next != move_down->y) {
-        /* symmetry detected may have to make another complete
-           pass */
-            if (move_down != NULL) {
-        x = move_down->y;
-        }
-        else {
-        while ((unsigned) x < table->subtableZ[x].next)
-            x = table->subtableZ[x].next;
-        x = table->subtableZ[x].next;
-        }
-            i = x;
-            while ((unsigned) i < table->subtableZ[i].next) {
-                i = table->subtableZ[i].next;
-            }
-        final_group_size = i - x + 1;
-
-            if (init_group_size == final_group_size) {
-        /* No new symmetries detected,
-           go back to best position */
-                result = cuddZddSymmSiftingBackward(table, move_down,
-            initial_size);
-            }
-        else {
-        while (move_up != NULL) {
-            move = move_up->next;
-            cuddDeallocNode(table, (DdNode *)move_up);
-            move_up = move;
-        }
-        initial_size = table->keysZ;
-        move_up = cuddZddSymmSifting_up(table, x, x_low,
-            initial_size);
-        result = cuddZddSymmSiftingBackward(table, move_up,
-            initial_size);
-        }
-    }
-    else {
-        result = cuddZddSymmSiftingBackward(table, move_down,
-        initial_size);
-        /* move backward and stop at best position */
-    }
-    if (!result)
-        goto cuddZddSymmSiftingConvAuxOutOfMem;
-    }
-
-    while (move_down != NULL) {
-    move = move_down->next;
-    cuddDeallocNode(table, (DdNode *)move_down);
-    move_down = move;
-    }
-    while (move_up != NULL) {
-    move = move_up->next;
-    cuddDeallocNode(table, (DdNode *)move_up);
-    move_up = move;
-    }
-
-    return(1);
-
-cuddZddSymmSiftingConvAuxOutOfMem:
-    if (move_down != ZDD_MV_OOM) {
-    while (move_down != NULL) {
-        move = move_down->next;
-        cuddDeallocNode(table, (DdNode *)move_down);
-        move_down = move;
-    }
-    }
-    if (move_up != ZDD_MV_OOM) {
-    while (move_up != NULL) {
-        move = move_up->next;
-        cuddDeallocNode(table, (DdNode *)move_up);
-        move_up = move;
-    }
-    }
-
-    return(0);
-
-} /* end of cuddZddSymmSiftingConvAux */
-
-
-/**Function********************************************************************
-
-  Synopsis [Moves x up until either it reaches the bound (x_low) or
-  the size of the ZDD heap increases too much.]
-
-  Description [Moves x up until either it reaches the bound (x_low) or
-  the size of the ZDD heap increases too much. Assumes that x is the top
-  of a symmetry group.  Checks x for symmetry to the adjacent
-  variables. If symmetry is found, the symmetry group of x is merged
-  with the symmetry group of the other variable. Returns the set of
-  moves in case of success; ZDD_MV_OOM if memory is full.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static Move *
-cuddZddSymmSifting_up(
-  DdManager * table,
-  int  x,
-  int  x_low,
-  int  initial_size)
-{
-    Move    *moves;
-    Move    *move;
-    int        y;
-    int        size;
-    int        limit_size = initial_size;
-    int        i, gytop;
-
-    moves = NULL;
-    y = cuddZddNextLow(table, x);
-    while (y >= x_low) {
-    gytop = table->subtableZ[y].next;
-    if (cuddZddSymmCheck(table, y, x)) {
-        /* Symmetry found, attach symm groups */
-        table->subtableZ[y].next = x;
-        i = table->subtableZ[x].next;
-        while (table->subtableZ[i].next != (unsigned) x)
-        i = table->subtableZ[i].next;
-        table->subtableZ[i].next = gytop;
-    }
-    else if ((table->subtableZ[x].next == (unsigned) x) &&
-        (table->subtableZ[y].next == (unsigned) y)) {
-        /* x and y have self symmetry */
-        size = cuddZddSwapInPlace(table, y, x);
-        if (size == 0)
-        goto cuddZddSymmSifting_upOutOfMem;
-        move = (Move *)cuddDynamicAllocNode(table);
-        if (move == NULL)
-        goto cuddZddSymmSifting_upOutOfMem;
-        move->x = y;
-        move->y = x;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-        if ((double)size >
-        (double)limit_size * table->maxGrowth)
-        return(moves);
-        if (size < limit_size)
-        limit_size = size;
-    }
-    else { /* Group move */
-        size = zdd_group_move(table, y, x, &moves);
-        if ((double)size >
-        (double)limit_size * table->maxGrowth)
-        return(moves);
-        if (size < limit_size)
-        limit_size = size;
-    }
-    x = gytop;
-    y = cuddZddNextLow(table, x);
-    }
-
-    return(moves);
-
-cuddZddSymmSifting_upOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *)moves);
-    moves = move;
-    }
-    return(ZDD_MV_OOM);
-
-} /* end of cuddZddSymmSifting_up */
-
-
-/**Function********************************************************************
-
-  Synopsis [Moves x down until either it reaches the bound (x_high) or
-  the size of the ZDD heap increases too much.]
-
-  Description [Moves x down until either it reaches the bound (x_high)
-  or the size of the ZDD heap increases too much. Assumes that x is the
-  bottom of a symmetry group. Checks x for symmetry to the adjacent
-  variables. If symmetry is found, the symmetry group of x is merged
-  with the symmetry group of the other variable. Returns the set of
-  moves in case of success; ZDD_MV_OOM if memory is full.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static Move *
-cuddZddSymmSifting_down(
-  DdManager * table,
-  int  x,
-  int  x_high,
-  int  initial_size)
-{
-    Move    *moves;
-    Move    *move;
-    int        y;
-    int        size;
-    int        limit_size = initial_size;
-    int        i, gxtop, gybot;
-
-    moves = NULL;
-    y = cuddZddNextHigh(table, x);
-    while (y <= x_high) {
-    gybot = table->subtableZ[y].next;
-    while (table->subtableZ[gybot].next != (unsigned) y)
-        gybot = table->subtableZ[gybot].next;
-    if (cuddZddSymmCheck(table, x, y)) {
-        /* Symmetry found, attach symm groups */
-        gxtop = table->subtableZ[x].next;
-        table->subtableZ[x].next = y;
-        i = table->subtableZ[y].next;
-        while (table->subtableZ[i].next != (unsigned) y)
-        i = table->subtableZ[i].next;
-        table->subtableZ[i].next = gxtop;
-    }
-    else if ((table->subtableZ[x].next == (unsigned) x) &&
-        (table->subtableZ[y].next == (unsigned) y)) {
-        /* x and y have self symmetry */
-        size = cuddZddSwapInPlace(table, x, y);
-        if (size == 0)
-        goto cuddZddSymmSifting_downOutOfMem;
-        move = (Move *)cuddDynamicAllocNode(table);
-        if (move == NULL)
-        goto cuddZddSymmSifting_downOutOfMem;
-        move->x = x;
-        move->y = y;
-        move->size = size;
-        move->next = moves;
-        moves = move;
-        if ((double)size >
-        (double)limit_size * table->maxGrowth)
-        return(moves);
-        if (size < limit_size)
-        limit_size = size;
-        x = y;
-        y = cuddZddNextHigh(table, x);
-    }
-    else { /* Group move */
-        size = zdd_group_move(table, x, y, &moves);
-        if ((double)size >
-        (double)limit_size * table->maxGrowth)
-        return(moves);
-        if (size < limit_size)
-        limit_size = size;
-    }
-    x = gybot;
-    y = cuddZddNextHigh(table, x);
-    }
-
-    return(moves);
-
-cuddZddSymmSifting_downOutOfMem:
-    while (moves != NULL) {
-    move = moves->next;
-    cuddDeallocNode(table, (DdNode *)moves);
-    moves = move;
-    }
-    return(ZDD_MV_OOM);
-
-} /* end of cuddZddSymmSifting_down */
-
-
-/**Function********************************************************************
-
-  Synopsis [Given a set of moves, returns the ZDD heap to the position
-  giving the minimum size.]
-
-  Description [Given a set of moves, returns the ZDD heap to the
-  position giving the minimum size. In case of ties, returns to the
-  closest position giving the minimum size. Returns 1 in case of
-  success; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-cuddZddSymmSiftingBackward(
-  DdManager * table,
-  Move * moves,
-  int  size)
-{
-    int        i;
-    int        i_best;
-    Move    *move;
-    int        res;
-
-    i_best = -1;
-    for (move = moves, i = 0; move != NULL; move = move->next, i++) {
-    if (move->size < size) {
-        i_best = i;
-        size = move->size;
-    }
-    }
-
-    for (move = moves, i = 0; move != NULL; move = move->next, i++) {
-    if (i == i_best) break;
-    if ((table->subtableZ[move->x].next == move->x) &&
-        (table->subtableZ[move->y].next == move->y)) {
-        res = cuddZddSwapInPlace(table, move->x, move->y);
-        if (!res) return(0);
-    }
-    else { /* Group move necessary */
-        res = zdd_group_move_backward(table, move->x, move->y);
-    }
-    if (i_best == -1 && res == size)
-        break;
-    }
-
-    return(1);
-
-} /* end of cuddZddSymmSiftingBackward */
-
-
-/**Function********************************************************************
-
-  Synopsis [Swaps two groups.]
-
-  Description [Swaps two groups. x is assumed to be the bottom variable
-  of the first group. y is assumed to be the top variable of the second
-  group.  Updates the list of moves. Returns the number of keys in the
-  table if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-zdd_group_move(
-  DdManager * table,
-  int  x,
-  int  y,
-  Move ** moves)
-{
-    Move    *move;
-    int        size;
-    int        i, temp, gxtop, gxbot, gytop, gybot, yprev;
-    int        swapx, swapy;
-
-#ifdef DD_DEBUG
-    assert(x < y);    /* we assume that x < y */
-#endif
-    /* Find top and bottom for the two groups. */
-    gxtop = table->subtableZ[x].next;
-    gytop = y;
-    gxbot = x;
-    gybot = table->subtableZ[y].next;
-    while (table->subtableZ[gybot].next != (unsigned) y)
-    gybot = table->subtableZ[gybot].next;
-    yprev = gybot;
-
-    while (x <= y) {
-    while (y > gxtop) {
-        /* Set correct symmetries. */
-        temp = table->subtableZ[x].next;
-        if (temp == x)
-        temp = y;
-        i = gxtop;
-        for (;;) {
-        if (table->subtableZ[i].next == (unsigned) x) {
-            table->subtableZ[i].next = y;
-            break;
-        } else {
-            i = table->subtableZ[i].next;
-        }
-        }
-        if (table->subtableZ[y].next != (unsigned) y) {
-        table->subtableZ[x].next = table->subtableZ[y].next;
-        } else {
-        table->subtableZ[x].next = x;
-        }
-
-        if (yprev != y) {
-        table->subtableZ[yprev].next = x;
-        } else {
-        yprev = x;
-        }
-        table->subtableZ[y].next = temp;
-
-        size = cuddZddSwapInPlace(table, x, y);
-        if (size == 0)
-        goto zdd_group_moveOutOfMem;
-            swapx = x;
-        swapy = y;
-        y = x;
-        x--;
-    } /* while y > gxtop */
-
-    /* Trying to find the next y. */
-    if (table->subtableZ[y].next <= (unsigned) y) {
-        gybot = y;
-    } else {
-        y = table->subtableZ[y].next;
-    }
-
-    yprev = gxtop;
-    gxtop++;
-    gxbot++;
-    x = gxbot;
-    } /* while x <= y, end of group movement */
-    move = (Move *)cuddDynamicAllocNode(table);
-    if (move == NULL)
-    goto zdd_group_moveOutOfMem;
-    move->x = swapx;
-    move->y = swapy;
-    move->size = table->keysZ;
-    move->next = *moves;
-    *moves = move;
-
-    return(table->keysZ);
-
-zdd_group_moveOutOfMem:
-    while (*moves != NULL) {
-    move = (*moves)->next;
-    cuddDeallocNode(table, (DdNode *)(*moves));
-    *moves = move;
-    }
-    return(0);
-
-} /* end of zdd_group_move */
-
-
-/**Function********************************************************************
-
-  Synopsis [Undoes the swap of two groups.]
-
-  Description [Undoes the swap of two groups. x is assumed to be the
-  bottom variable of the first group. y is assumed to be the top
-  variable of the second group.  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-zdd_group_move_backward(
-  DdManager * table,
-  int  x,
-  int  y)
-{
-    int           size;
-    int        i, temp, gxtop, gxbot, gytop, gybot, yprev;
-
-#ifdef DD_DEBUG
-    assert(x < y);    /* we assume that x < y */
-#endif
-    /* Find top and bottom of the two groups. */
-    gxtop = table->subtableZ[x].next;
-    gytop = y;
-    gxbot = x;
-    gybot = table->subtableZ[y].next;
-    while (table->subtableZ[gybot].next != (unsigned) y)
-    gybot = table->subtableZ[gybot].next;
-    yprev = gybot;
-
-    while (x <= y) {
-    while (y > gxtop) {
-        /* Set correct symmetries. */
-        temp = table->subtableZ[x].next;
-        if (temp == x)
-        temp = y;
-        i = gxtop;
-        for (;;) {
-        if (table->subtableZ[i].next == (unsigned) x) {
-            table->subtableZ[i].next = y;
-            break;
-        } else {
-            i = table->subtableZ[i].next;
-        }
-        }
-        if (table->subtableZ[y].next != (unsigned) y) {
-        table->subtableZ[x].next = table->subtableZ[y].next;
-        } else {
-        table->subtableZ[x].next = x;
-        }
-
-        if (yprev != y) {
-        table->subtableZ[yprev].next = x;
-        } else {
-        yprev = x;
-        }
-        table->subtableZ[y].next = temp;
-
-        size = cuddZddSwapInPlace(table, x, y);
-        if (size == 0)
-        return(0);
-        y = x;
-        x--;
-    } /* while y > gxtop */
-
-    /* Trying to find the next y. */
-    if (table->subtableZ[y].next <= (unsigned) y) {
-        gybot = y;
-    } else {
-        y = table->subtableZ[y].next;
-    }
-
-    yprev = gxtop;
-    gxtop++;
-    gxbot++;
-    x = gxbot;
-    } /* while x <= y, end of group movement backward */
-
-    return(size);
-
-} /* end of zdd_group_move_backward */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Counts numbers of symmetric variables and symmetry
-  groups.]
-
-  Description []
-
-  SideEffects [None]
-
-******************************************************************************/
-static void
-cuddZddSymmSummary(
-  DdManager * table,
-  int  lower,
-  int  upper,
-  int * symvars,
-  int * symgroups)
-{
-    int i,x,gbot;
-    int TotalSymm = 0;
-    int TotalSymmGroups = 0;
-
-    for (i = lower; i <= upper; i++) {
-    if (table->subtableZ[i].next != (unsigned) i) {
-        TotalSymmGroups++;
-        x = i;
-        do {
-        TotalSymm++;
-        gbot = x;
-        x = table->subtableZ[x].next;
-        } while (x != i);
-#ifdef DD_DEBUG
-        assert(table->subtableZ[gbot].next == (unsigned) i);
-#endif
-        i = gbot;
-    }
-    }
-    *symvars = TotalSymm;
-    *symgroups = TotalSymmGroups;
-
-    return;
-
-} /* end of cuddZddSymmSummary */
-
diff --git a/src/bdd/cudd/cuddZddUtil.c b/src/bdd/cudd/cuddZddUtil.c
deleted file mode 100644
index 616d16d4..00000000
--- a/src/bdd/cudd/cuddZddUtil.c
+++ /dev/null
@@ -1,1021 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [cuddZddUtil.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Utility functions for ZDDs.]
-
-  Description [External procedures included in this module:
-            <ul>
-            <li> Cudd_zddPrintMinterm()
-            <li> Cudd_zddPrintCover()
-            <li> Cudd_zddPrintDebug()
-            <li> Cudd_zddDumpDot()
-            </ul>
-           Internal procedures included in this module:
-            <ul>
-            <li> cuddZddP()
-            </ul>
-           Static procedures included in this module:
-            <ul>
-            <li> zp2()
-            <li> zdd_print_minterm_aux()
-            </ul>
-          ]
-
-  SeeAlso     []
-
-  Author      [Hyong-Kyoon Shin, In-Ho Moon]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include    "util_hack.h"
-#include    "cuddInt.h"
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Stucture declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Type declarations                                                         */
-/*---------------------------------------------------------------------------*/
-
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: cuddZddUtil.c,v 1.1.1.1 2003/02/24 22:23:54 wjiang Exp $";
-#endif
-
-/*---------------------------------------------------------------------------*/
-/* Macro declarations                                                        */
-/*---------------------------------------------------------------------------*/
-
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static int zp2 ARGS((DdManager *zdd, DdNode *f, st_table *t));
-static void zdd_print_minterm_aux ARGS((DdManager *zdd, DdNode *node, int level, int *list));
-static void zddPrintCoverAux ARGS((DdManager *zdd, DdNode *node, int level, int *list));
-
-/**AutomaticEnd***************************************************************/
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of exported functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints a disjoint sum of product form for a ZDD.]
-
-  Description [Prints a disjoint sum of product form for a ZDD. Returns 1
-  if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddPrintDebug Cudd_zddPrintCover]
-
-******************************************************************************/
-int
-Cudd_zddPrintMinterm(
-  DdManager * zdd,
-  DdNode * node)
-{
-    int        i, size;
-    int        *list;
-
-    size = (int)zdd->sizeZ;
-    list = ALLOC(int, size);
-    if (list == NULL) {
-    zdd->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    for (i = 0; i < size; i++) list[i] = 3; /* bogus value should disappear */
-    zdd_print_minterm_aux(zdd, node, 0, list);
-    FREE(list);
-    return(1);
-
-} /* end of Cudd_zddPrintMinterm */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints a sum of products from a ZDD representing a cover.]
-
-  Description [Prints a sum of products from a ZDD representing a cover.
-  Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddPrintMinterm]
-
-******************************************************************************/
-int
-Cudd_zddPrintCover(
-  DdManager * zdd,
-  DdNode * node)
-{
-    int        i, size;
-    int        *list;
-
-    size = (int)zdd->sizeZ;
-    if (size % 2 != 0) return(0); /* number of variables should be even */
-    list = ALLOC(int, size);
-    if (list == NULL) {
-    zdd->errorCode = CUDD_MEMORY_OUT;
-    return(0);
-    }
-    for (i = 0; i < size; i++) list[i] = 3; /* bogus value should disappear */
-    zddPrintCoverAux(zdd, node, 0, list);
-    FREE(list);
-    return(1);
-
-} /* end of Cudd_zddPrintCover */
-
-
-/**Function********************************************************************
-
-  Synopsis [Prints to the standard output a ZDD and its statistics.]
-
-  Description [Prints to the standard output a DD and its statistics.
-  The statistics include the number of nodes and the number of minterms.
-  (The number of minterms is also the number of combinations in the set.)
-  The statistics are printed if pr &gt; 0.  Specifically:
-  <ul>
-  <li> pr = 0 : prints nothing
-  <li> pr = 1 : prints counts of nodes and minterms
-  <li> pr = 2 : prints counts + disjoint sum of products
-  <li> pr = 3 : prints counts + list of nodes
-  <li> pr &gt; 3 : prints counts + disjoint sum of products + list of nodes
-  </ul>
-  Returns 1 if successful; 0 otherwise.
-  ]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-Cudd_zddPrintDebug(
-  DdManager * zdd,
-  DdNode * f,
-  int  n,
-  int  pr)
-{
-    DdNode    *empty = DD_ZERO(zdd);
-    int        nodes;
-    double    minterms;
-    int        retval = 1;
-
-    if (f == empty && pr > 0) {
-    (void) fprintf(zdd->out,": is the empty ZDD\n");
-    (void) fflush(zdd->out);
-    return(1);
-    }
-
-    if (pr > 0) {
-    nodes = Cudd_zddDagSize(f);
-    if (nodes == CUDD_OUT_OF_MEM) retval = 0;
-    minterms = Cudd_zddCountMinterm(zdd, f, n);
-    if (minterms == (double)CUDD_OUT_OF_MEM) retval = 0;
-    (void) fprintf(zdd->out,": %d nodes %g minterms\n",
-               nodes, minterms);
-    if (pr > 2)
-        if (!cuddZddP(zdd, f)) retval = 0;
-    if (pr == 2 || pr > 3) {
-        if (!Cudd_zddPrintMinterm(zdd, f)) retval = 0;
-        (void) fprintf(zdd->out,"\n");
-    }
-    (void) fflush(zdd->out);
-    }
-    return(retval);
-
-} /* end of Cudd_zddPrintDebug */
-
-
-
-/**Function********************************************************************
-
-  Synopsis    [Finds the first path of a ZDD.]
-
-  Description [Defines an iterator on the paths of a ZDD
-  and finds its first path. Returns a generator that contains the
-  information necessary to continue the enumeration if successful; NULL
-  otherwise.<p>
-  A path is represented as an array of literals, which are integers in
-  {0, 1, 2}; 0 represents an else arc out of a node, 1 represents a then arc
-  out of a node, and 2 stands for the absence of a node.
-  The size of the array equals the number of variables in the manager at
-  the time Cudd_zddFirstCube is called.<p>
-  The paths that end in the empty terminal are not enumerated.]
-
-  SideEffects [The first path is returned as a side effect.]
-
-  SeeAlso     [Cudd_zddForeachPath Cudd_zddNextPath Cudd_GenFree
-  Cudd_IsGenEmpty]
-
-******************************************************************************/
-DdGen *
-Cudd_zddFirstPath(
-  DdManager * zdd,
-  DdNode * f,
-  int ** path)
-{
-    DdGen *gen;
-    DdNode *top, *next, *prev;
-    int i;
-    int nvars;
-
-    /* Sanity Check. */
-    if (zdd == NULL || f == NULL) return(NULL);
-
-    /* Allocate generator an initialize it. */
-    gen = ALLOC(DdGen,1);
-    if (gen == NULL) {
-    zdd->errorCode = CUDD_MEMORY_OUT;
-    return(NULL);
-    }
-
-    gen->manager = zdd;
-    gen->type = CUDD_GEN_ZDD_PATHS;
-    gen->status = CUDD_GEN_EMPTY;
-    gen->gen.cubes.cube = NULL;
-    gen->gen.cubes.value = DD_ZERO_VAL;
-    gen->stack.sp = 0;
-    gen->stack.stack = NULL;
-    gen->node = NULL;
-
-    nvars = zdd->sizeZ;
-    gen->gen.cubes.cube = ALLOC(int,nvars);
-    if (gen->gen.cubes.cube == NULL) {
-    zdd->errorCode = CUDD_MEMORY_OUT;
-    FREE(gen);
-    return(NULL);
-    }
-    for (i = 0; i < nvars; i++) gen->gen.cubes.cube[i] = 2;
-
-    /* The maximum stack depth is one plus the number of variables.
-    ** because a path may have nodes at all levels, including the
-    ** constant level.
-    */
-    gen->stack.stack = ALLOC(DdNode *, nvars+1);
-    if (gen->stack.stack == NULL) {
-    zdd->errorCode = CUDD_MEMORY_OUT;
-    FREE(gen->gen.cubes.cube);
-    FREE(gen);
-    return(NULL);
-    }
-    for (i = 0; i <= nvars; i++) gen->stack.stack[i] = NULL;
-
-    /* Find the first path of the ZDD. */
-    gen->stack.stack[gen->stack.sp] = f; gen->stack.sp++;
-
-    while (1) {
-    top = gen->stack.stack[gen->stack.sp-1];
-    if (!cuddIsConstant(top)) {
-        /* Take the else branch first. */
-        gen->gen.cubes.cube[top->index] = 0;
-        next = cuddE(top);
-        gen->stack.stack[gen->stack.sp] = next; gen->stack.sp++;
-    } else if (top == DD_ZERO(zdd)) {
-        /* Backtrack. */
-        while (1) {
-        if (gen->stack.sp == 1) {
-            /* The current node has no predecessor. */
-            gen->status = CUDD_GEN_EMPTY;
-            gen->stack.sp--;
-            goto done;
-        }
-        prev = gen->stack.stack[gen->stack.sp-2];
-        next = cuddT(prev);
-        if (next != top) { /* follow the then branch next */
-            gen->gen.cubes.cube[prev->index] = 1;
-            gen->stack.stack[gen->stack.sp-1] = next;
-            break;
-        }
-        /* Pop the stack and try again. */
-        gen->gen.cubes.cube[prev->index] = 2;
-        gen->stack.sp--;
-        top = gen->stack.stack[gen->stack.sp-1];
-        }
-    } else {
-        gen->status = CUDD_GEN_NONEMPTY;
-        gen->gen.cubes.value = cuddV(top);
-        goto done;
-    }
-    }
-
-done:
-    *path = gen->gen.cubes.cube;
-    return(gen);
-
-} /* end of Cudd_zddFirstPath */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Generates the next path of a ZDD.]
-
-  Description [Generates the next path of a ZDD onset,
-  using generator gen. Returns 0 if the enumeration is completed; 1
-  otherwise.]
-
-  SideEffects [The path is returned as a side effect. The
-  generator is modified.]
-
-  SeeAlso     [Cudd_zddForeachPath Cudd_zddFirstPath Cudd_GenFree
-  Cudd_IsGenEmpty]
-
-******************************************************************************/
-int
-Cudd_zddNextPath(
-  DdGen * gen,
-  int ** path)
-{
-    DdNode *top, *next, *prev;
-    DdManager *zdd = gen->manager;
-
-    /* Backtrack from previously reached terminal node. */
-    while (1) {
-    if (gen->stack.sp == 1) {
-        /* The current node has no predecessor. */
-        gen->status = CUDD_GEN_EMPTY;
-        gen->stack.sp--;
-        goto done;
-    }
-    top = gen->stack.stack[gen->stack.sp-1];
-    prev = gen->stack.stack[gen->stack.sp-2];
-    next = cuddT(prev);
-    if (next != top) { /* follow the then branch next */
-        gen->gen.cubes.cube[prev->index] = 1;
-        gen->stack.stack[gen->stack.sp-1] = next;
-        break;
-    }
-    /* Pop the stack and try again. */
-    gen->gen.cubes.cube[prev->index] = 2;
-    gen->stack.sp--;
-    }
-
-    while (1) {
-    top = gen->stack.stack[gen->stack.sp-1];
-    if (!cuddIsConstant(top)) {
-        /* Take the else branch first. */
-        gen->gen.cubes.cube[top->index] = 0;
-        next = cuddE(top);
-        gen->stack.stack[gen->stack.sp] = next; gen->stack.sp++;
-    } else if (top == DD_ZERO(zdd)) {
-        /* Backtrack. */
-        while (1) {
-        if (gen->stack.sp == 1) {
-            /* The current node has no predecessor. */
-            gen->status = CUDD_GEN_EMPTY;
-            gen->stack.sp--;
-            goto done;
-        }
-        prev = gen->stack.stack[gen->stack.sp-2];
-        next = cuddT(prev);
-        if (next != top) { /* follow the then branch next */
-            gen->gen.cubes.cube[prev->index] = 1;
-            gen->stack.stack[gen->stack.sp-1] = next;
-            break;
-        }
-        /* Pop the stack and try again. */
-        gen->gen.cubes.cube[prev->index] = 2;
-        gen->stack.sp--;
-        top = gen->stack.stack[gen->stack.sp-1];
-        }
-    } else {
-        gen->status = CUDD_GEN_NONEMPTY;
-        gen->gen.cubes.value = cuddV(top);
-        goto done;
-    }
-    }
-
-done:
-    if (gen->status == CUDD_GEN_EMPTY) return(0);
-    *path = gen->gen.cubes.cube;
-    return(1);
-
-} /* end of Cudd_zddNextPath */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Converts a path of a ZDD representing a cover to a string.]
-
-  Description [Converts a path of a ZDD representing a cover to a
-  string.  The string represents an implicant of the cover.  The path
-  is typically produced by Cudd_zddForeachPath.  Returns a pointer to
-  the string if successful; NULL otherwise.  If the str input is NULL,
-  it allocates a new string.  The string passed to this function must
-  have enough room for all variables and for the terminator.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddForeachPath]
-
-******************************************************************************/
-char *
-Cudd_zddCoverPathToString(
-  DdManager *zdd        /* DD manager */,
-  int *path            /* path of ZDD representing a cover */,
-  char *str            /* pointer to string to use if != NULL */
-  )
-{
-    int nvars = zdd->sizeZ;
-    int i;
-    char *res;
-
-    if (nvars & 1) return(NULL);
-    nvars >>= 1;
-    if (str == NULL) {
-    res = ALLOC(char, nvars+1);
-    if (res == NULL) return(NULL);
-    } else {
-    res = str;
-    }
-    for (i = 0; i < nvars; i++) {
-    int v = (path[2*i] << 2) | path[2*i+1];
-    switch (v) {
-    case 0:
-    case 2:
-    case 8:
-    case 10:
-        res[i] = '-';
-        break;
-    case 1:
-    case 9:
-        res[i] = '0';
-        break;
-    case 4:
-    case 6:
-        res[i] = '1';
-        break;
-    default:
-        res[i] = '?';
-    }
-    }
-    res[nvars] = 0;
-
-    return(res);
-
-} /* end of Cudd_zddCoverPathToString */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Writes a dot file representing the argument ZDDs.]
-
-  Description [Writes a file representing the argument ZDDs in a format
-  suitable for the graph drawing program dot.
-  It returns 1 in case of success; 0 otherwise (e.g., out-of-memory,
-  file system full).
-  Cudd_zddDumpDot does not close the file: This is the caller
-  responsibility. Cudd_zddDumpDot uses a minimal unique subset of the
-  hexadecimal address of a node as name for it.
-  If the argument inames is non-null, it is assumed to hold the pointers
-  to the names of the inputs. Similarly for onames.
-  Cudd_zddDumpDot uses the following convention to draw arcs:
-    <ul>
-    <li> solid line: THEN arcs;
-    <li> dashed line: ELSE arcs.
-    </ul>
-  The dot options are chosen so that the drawing fits on a letter-size
-  sheet.
-  ]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_DumpDot Cudd_zddPrintDebug]
-
-******************************************************************************/
-int
-Cudd_zddDumpDot(
-  DdManager * dd /* manager */,
-  int  n /* number of output nodes to be dumped */,
-  DdNode ** f /* array of output nodes to be dumped */,
-  char ** inames /* array of input names (or NULL) */,
-  char ** onames /* array of output names (or NULL) */,
-  FILE * fp /* pointer to the dump file */)
-{
-    DdNode    *support = NULL;
-    DdNode    *scan;
-    int        *sorted = NULL;
-    int        nvars = dd->sizeZ;
-    st_table    *visited = NULL;
-    st_generator *gen;
-    int        retval;
-    int        i, j;
-    int        slots;
-    DdNodePtr    *nodelist;
-    long    refAddr, diff, mask;
-
-    /* Build a bit array with the support of f. */
-    sorted = ALLOC(int,nvars);
-    if (sorted == NULL) {
-    dd->errorCode = CUDD_MEMORY_OUT;
-    goto failure;
-    }
-    for (i = 0; i < nvars; i++) sorted[i] = 0;
-
-    /* Take the union of the supports of each output function. */
-    for (i = 0; i < n; i++) {
-    support = Cudd_Support(dd,f[i]);
-    if (support == NULL) goto failure;
-    cuddRef(support);
-    scan = support;
-    while (!cuddIsConstant(scan)) {
-        sorted[scan->index] = 1;
-        scan = cuddT(scan);
-    }
-    Cudd_RecursiveDeref(dd,support);
-    }
-    support = NULL; /* so that we do not try to free it in case of failure */
-
-    /* Initialize symbol table for visited nodes. */
-    visited = st_init_table(st_ptrcmp, st_ptrhash);
-    if (visited == NULL) goto failure;
-
-    /* Collect all the nodes of this DD in the symbol table. */
-    for (i = 0; i < n; i++) {
-    retval = cuddCollectNodes(f[i],visited);
-    if (retval == 0) goto failure;
-    }
-
-    /* Find how many most significant hex digits are identical
-    ** in the addresses of all the nodes. Build a mask based
-    ** on this knowledge, so that digits that carry no information
-    ** will not be printed. This is done in two steps.
-    **  1. We scan the symbol table to find the bits that differ
-    **     in at least 2 addresses.
-    **  2. We choose one of the possible masks. There are 8 possible
-    **     masks for 32-bit integer, and 16 possible masks for 64-bit
-    **     integers.
-    */
-
-    /* Find the bits that are different. */
-    refAddr = (long) f[0];
-    diff = 0;
-    gen = st_init_gen(visited);
-    while (st_gen(gen, (char **) &scan, NULL)) {
-    diff |= refAddr ^ (long) scan;
-    }
-    st_free_gen(gen);
-
-    /* Choose the mask. */
-    for (i = 0; (unsigned) i < 8 * sizeof(long); i += 4) {
-    mask = (1 << i) - 1;
-    if (diff <= mask) break;
-    }
-
-    /* Write the header and the global attributes. */
-    retval = fprintf(fp,"digraph \"ZDD\" {\n");
-    if (retval == EOF) return(0);
-    retval = fprintf(fp,
-    "size = \"7.5,10\"\ncenter = true;\nedge [dir = none];\n");
-    if (retval == EOF) return(0);
-
-    /* Write the input name subgraph by scanning the support array. */
-    retval = fprintf(fp,"{ node [shape = plaintext];\n");
-    if (retval == EOF) goto failure;
-    retval = fprintf(fp,"  edge [style = invis];\n");
-    if (retval == EOF) goto failure;
-    /* We use a name ("CONST NODES") with an embedded blank, because
-    ** it is unlikely to appear as an input name.
-    */
-    retval = fprintf(fp,"  \"CONST NODES\" [style = invis];\n");
-    if (retval == EOF) goto failure;
-    for (i = 0; i < nvars; i++) {
-        if (sorted[dd->invpermZ[i]]) {
-        if (inames == NULL) {
-        retval = fprintf(fp,"\" %d \" -> ", dd->invpermZ[i]);
-        } else {
-        retval = fprintf(fp,"\" %s \" -> ", inames[dd->invpermZ[i]]);
-        }
-            if (retval == EOF) goto failure;
-        }
-    }
-    retval = fprintf(fp,"\"CONST NODES\"; \n}\n");
-    if (retval == EOF) goto failure;
-
-    /* Write the output node subgraph. */
-    retval = fprintf(fp,"{ rank = same; node [shape = box]; edge [style = invis];\n");
-    if (retval == EOF) goto failure;
-    for (i = 0; i < n; i++) {
-    if (onames == NULL) {
-        retval = fprintf(fp,"\"F%d\"", i);
-    } else {
-        retval = fprintf(fp,"\"  %s  \"", onames[i]);
-    }
-    if (retval == EOF) goto failure;
-    if (i == n - 1) {
-        retval = fprintf(fp,"; }\n");
-    } else {
-        retval = fprintf(fp," -> ");
-    }
-    if (retval == EOF) goto failure;
-    }
-
-    /* Write rank info: All nodes with the same index have the same rank. */
-    for (i = 0; i < nvars; i++) {
-        if (sorted[dd->invpermZ[i]]) {
-        retval = fprintf(fp,"{ rank = same; ");
-        if (retval == EOF) goto failure;
-        if (inames == NULL) {
-        retval = fprintf(fp,"\" %d \";\n", dd->invpermZ[i]);
-        } else {
-        retval = fprintf(fp,"\" %s \";\n", inames[dd->invpermZ[i]]);
-        }
-            if (retval == EOF) goto failure;
-        nodelist = dd->subtableZ[i].nodelist;
-        slots = dd->subtableZ[i].slots;
-        for (j = 0; j < slots; j++) {
-        scan = nodelist[j];
-        while (scan != NULL) {
-            if (st_is_member(visited,(char *) scan)) {
-            retval = fprintf(fp,"\"%lx\";\n", (mask & (long) scan) / sizeof(DdNode));
-            if (retval == EOF) goto failure;
-            }
-            scan = scan->next;
-        }
-        }
-        retval = fprintf(fp,"}\n");
-        if (retval == EOF) goto failure;
-    }
-    }
-
-    /* All constants have the same rank. */
-    retval = fprintf(fp,
-    "{ rank = same; \"CONST NODES\";\n{ node [shape = box]; ");
-    if (retval == EOF) goto failure;
-    nodelist = dd->constants.nodelist;
-    slots = dd->constants.slots;
-    for (j = 0; j < slots; j++) {
-    scan = nodelist[j];
-    while (scan != NULL) {
-        if (st_is_member(visited,(char *) scan)) {
-        retval = fprintf(fp,"\"%lx\";\n", (mask & (long) scan) / sizeof(DdNode));
-        if (retval == EOF) goto failure;
-        }
-        scan = scan->next;
-    }
-    }
-    retval = fprintf(fp,"}\n}\n");
-    if (retval == EOF) goto failure;
-
-    /* Write edge info. */
-    /* Edges from the output nodes. */
-    for (i = 0; i < n; i++) {
-    if (onames == NULL) {
-        retval = fprintf(fp,"\"F%d\"", i);
-    } else {
-        retval = fprintf(fp,"\"  %s  \"", onames[i]);
-    }
-    if (retval == EOF) goto failure;
-    retval = fprintf(fp," -> \"%lx\" [style = solid];\n",
-             (mask & (long) f[i]) / sizeof(DdNode));
-    if (retval == EOF) goto failure;
-    }
-
-    /* Edges from internal nodes. */
-    for (i = 0; i < nvars; i++) {
-        if (sorted[dd->invpermZ[i]]) {
-        nodelist = dd->subtableZ[i].nodelist;
-        slots = dd->subtableZ[i].slots;
-        for (j = 0; j < slots; j++) {
-        scan = nodelist[j];
-        while (scan != NULL) {
-            if (st_is_member(visited,(char *) scan)) {
-            retval = fprintf(fp,
-                "\"%lx\" -> \"%lx\";\n",
-                (mask & (long) scan) / sizeof(DdNode),
-                (mask & (long) cuddT(scan)) / sizeof(DdNode));
-            if (retval == EOF) goto failure;
-            retval = fprintf(fp,
-                     "\"%lx\" -> \"%lx\" [style = dashed];\n",
-                     (mask & (long) scan) / sizeof(DdNode),
-                     (mask & (long) cuddE(scan)) / sizeof(DdNode));
-            if (retval == EOF) goto failure;
-            }
-            scan = scan->next;
-        }
-        }
-    }
-    }
-
-    /* Write constant labels. */
-    nodelist = dd->constants.nodelist;
-    slots = dd->constants.slots;
-    for (j = 0; j < slots; j++) {
-    scan = nodelist[j];
-    while (scan != NULL) {
-        if (st_is_member(visited,(char *) scan)) {
-        retval = fprintf(fp,"\"%lx\" [label = \"%g\"];\n",
-            (mask & (long) scan) / sizeof(DdNode), cuddV(scan));
-        if (retval == EOF) goto failure;
-        }
-        scan = scan->next;
-    }
-    }
-
-    /* Write trailer and return. */
-    retval = fprintf(fp,"}\n");
-    if (retval == EOF) goto failure;
-
-    st_free_table(visited);
-    FREE(sorted);
-    return(1);
-
-failure:
-    if (sorted != NULL) FREE(sorted);
-    if (support != NULL) Cudd_RecursiveDeref(dd,support);
-    if (visited != NULL) st_free_table(visited);
-    return(0);
-
-} /* end of Cudd_zddDumpBlif */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of internal functions                                          */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Prints a ZDD to the standard output. One line per node is
-  printed.]
-
-  Description [Prints a ZDD to the standard output. One line per node is 
-  printed. Returns 1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     [Cudd_zddPrintDebug]
-
-******************************************************************************/
-int
-cuddZddP(
-  DdManager * zdd,
-  DdNode * f)
-{
-    int retval;
-    st_table *table = st_init_table(st_ptrcmp, st_ptrhash);
-
-    if (table == NULL) return(0);
-
-    retval = zp2(zdd, f, table);
-    st_free_table(table);
-    (void) fputc('\n', zdd->out);
-    return(retval);
-
-} /* end of cuddZddP */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis [Performs the recursive step of cuddZddP.]
-
-  Description [Performs the recursive step of cuddZddP. Returns 1 in
-  case of success; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-zp2(
-  DdManager * zdd,
-  DdNode * f,
-  st_table * t)
-{
-    DdNode    *n;
-    int        T, E;
-    DdNode    *base = DD_ONE(zdd);
-    
-    if (f == NULL)
-    return(0);
-
-    if (Cudd_IsConstant(f)) {
-        (void)fprintf(zdd->out, "ID = %d\n", (f == base));
-    return(1);
-    }
-    if (st_is_member(t, (char *)f) == 1)
-    return(1);
-
-    if (st_insert(t, (char *) f, NULL) == ST_OUT_OF_MEM)
-    return(0);
-
-#if SIZEOF_VOID_P == 8
-    (void) fprintf(zdd->out, "ID = 0x%lx\tindex = %d\tr = %d\t",
-    (unsigned long)f / (unsigned long) sizeof(DdNode), f->index, f->ref);
-#else
-    (void) fprintf(zdd->out, "ID = 0x%x\tindex = %d\tr = %d\t",
-    (unsigned)f / (unsigned) sizeof(DdNode), f->index, f->ref);
-#endif
-
-    n = cuddT(f);
-    if (Cudd_IsConstant(n)) {
-        (void) fprintf(zdd->out, "T = %d\t\t", (n == base));
-    T = 1;
-    } else {
-#if SIZEOF_VOID_P == 8
-        (void) fprintf(zdd->out, "T = 0x%lx\t", (unsigned long) n /
-               (unsigned long) sizeof(DdNode));
-#else
-        (void) fprintf(zdd->out, "T = 0x%x\t", (unsigned) n / (unsigned) sizeof(DdNode));
-#endif
-    T = 0;
-    }
-
-    n = cuddE(f);
-    if (Cudd_IsConstant(n)) {
-        (void) fprintf(zdd->out, "E = %d\n", (n == base));
-    E = 1;
-    } else {
-#if SIZEOF_VOID_P == 8
-        (void) fprintf(zdd->out, "E = 0x%lx\n", (unsigned long) n /
-              (unsigned long) sizeof(DdNode));
-#else
-        (void) fprintf(zdd->out, "E = 0x%x\n", (unsigned) n / (unsigned) sizeof(DdNode));
-#endif
-    E = 0;
-    }
-
-    if (E == 0)
-    if (zp2(zdd, cuddE(f), t) == 0) return(0);
-    if (T == 0)
-    if (zp2(zdd, cuddT(f), t) == 0) return(0);
-    return(1);
-
-} /* end of zp2 */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_zddPrintMinterm.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-zdd_print_minterm_aux(
-  DdManager * zdd /* manager */,
-  DdNode * node /* current node */,
-  int  level /* depth in the recursion */,
-  int * list /* current recursion path */)
-{
-    DdNode    *Nv, *Nnv;
-    int        i, v;
-    DdNode    *base = DD_ONE(zdd);
-
-    if (Cudd_IsConstant(node)) {
-    if (node == base) {
-        /* Check for missing variable. */
-        if (level != zdd->sizeZ) {
-        list[zdd->invpermZ[level]] = 0;
-        zdd_print_minterm_aux(zdd, node, level + 1, list);
-        return;
-        }
-        /* Terminal case: Print one cube based on the current recursion
-        ** path.
-        */
-        for (i = 0; i < zdd->sizeZ; i++) {
-        v = list[i];
-        if (v == 0)
-            (void) fprintf(zdd->out,"0");
-        else if (v == 1)
-            (void) fprintf(zdd->out,"1");
-        else if (v == 3)
-            (void) fprintf(zdd->out,"@");    /* should never happen */
-        else
-            (void) fprintf(zdd->out,"-");
-        }
-        (void) fprintf(zdd->out," 1\n");
-    }
-    } else {
-    /* Check for missing variable. */
-    if (level != cuddIZ(zdd,node->index)) {
-        list[zdd->invpermZ[level]] = 0;
-        zdd_print_minterm_aux(zdd, node, level + 1, list);
-        return;
-    }
-
-    Nnv = cuddE(node);
-    Nv = cuddT(node);
-    if (Nv == Nnv) {
-        list[node->index] = 2;
-        zdd_print_minterm_aux(zdd, Nnv, level + 1, list);
-        return;
-    }
-
-    list[node->index] = 1;
-    zdd_print_minterm_aux(zdd, Nv, level + 1, list);
-    list[node->index] = 0;
-    zdd_print_minterm_aux(zdd, Nnv, level + 1, list);
-    }
-    return;
-
-} /* end of zdd_print_minterm_aux */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Performs the recursive step of Cudd_zddPrintCover.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-zddPrintCoverAux(
-  DdManager * zdd /* manager */,
-  DdNode * node /* current node */,
-  int  level /* depth in the recursion */,
-  int * list /* current recursion path */)
-{
-    DdNode    *Nv, *Nnv;
-    int        i, v;
-    DdNode    *base = DD_ONE(zdd);
-
-    if (Cudd_IsConstant(node)) {
-    if (node == base) {
-        /* Check for missing variable. */
-        if (level != zdd->sizeZ) {
-        list[zdd->invpermZ[level]] = 0;
-        zddPrintCoverAux(zdd, node, level + 1, list);
-        return;
-        }
-        /* Terminal case: Print one cube based on the current recursion
-        ** path.
-        */
-        for (i = 0; i < zdd->sizeZ; i += 2) {
-        v = list[i] * 4 + list[i+1];
-        if (v == 0)
-            (void) putc('-',zdd->out);
-        else if (v == 4)
-            (void) putc('1',zdd->out);
-        else if (v == 1)
-            (void) putc('0',zdd->out);
-        else
-            (void) putc('@',zdd->out); /* should never happen */
-        }
-        (void) fprintf(zdd->out," 1\n");
-    }
-    } else {
-    /* Check for missing variable. */
-    if (level != cuddIZ(zdd,node->index)) {
-        list[zdd->invpermZ[level]] = 0;
-        zddPrintCoverAux(zdd, node, level + 1, list);
-        return;
-    }
-
-    Nnv = cuddE(node);
-    Nv = cuddT(node);
-    if (Nv == Nnv) {
-        list[node->index] = 2;
-        zddPrintCoverAux(zdd, Nnv, level + 1, list);
-        return;
-    }
-
-    list[node->index] = 1;
-    zddPrintCoverAux(zdd, Nv, level + 1, list);
-    list[node->index] = 0;
-    zddPrintCoverAux(zdd, Nnv, level + 1, list);
-    }
-    return;
-
-} /* end of zddPrintCoverAux */
diff --git a/src/bdd/cudd/module.make b/src/bdd/cudd/module.make
deleted file mode 100644
index c526a50e..00000000
--- a/src/bdd/cudd/module.make
+++ /dev/null
@@ -1,61 +0,0 @@
-SRC +=  src/bdd/cudd/cuddAPI.c \
-    src/bdd/cudd/cuddAddAbs.c \
-    src/bdd/cudd/cuddAddApply.c \
-    src/bdd/cudd/cuddAddFind.c \
-    src/bdd/cudd/cuddAddInv.c \
-    src/bdd/cudd/cuddAddIte.c \
-    src/bdd/cudd/cuddAddNeg.c \
-    src/bdd/cudd/cuddAddWalsh.c \
-    src/bdd/cudd/cuddAndAbs.c \
-    src/bdd/cudd/cuddAnneal.c \
-    src/bdd/cudd/cuddApa.c \
-    src/bdd/cudd/cuddApprox.c \
-    src/bdd/cudd/cuddBddAbs.c \
-    src/bdd/cudd/cuddBddCorr.c \
-    src/bdd/cudd/cuddBddIte.c \
-    src/bdd/cudd/cuddBridge.c \
-    src/bdd/cudd/cuddCache.c \
-    src/bdd/cudd/cuddCheck.c \
-    src/bdd/cudd/cuddClip.c \
-    src/bdd/cudd/cuddCof.c \
-    src/bdd/cudd/cuddCompose.c \
-    src/bdd/cudd/cuddDecomp.c \
-    src/bdd/cudd/cuddEssent.c \
-    src/bdd/cudd/cuddExact.c \
-    src/bdd/cudd/cuddExport.c \
-    src/bdd/cudd/cuddGenCof.c \
-    src/bdd/cudd/cuddGenetic.c \
-    src/bdd/cudd/cuddGroup.c \
-    src/bdd/cudd/cuddHarwell.c \
-    src/bdd/cudd/cuddInit.c \
-    src/bdd/cudd/cuddInteract.c \
-    src/bdd/cudd/cuddLCache.c \
-    src/bdd/cudd/cuddLevelQ.c \
-    src/bdd/cudd/cuddLinear.c \
-    src/bdd/cudd/cuddLiteral.c \
-    src/bdd/cudd/cuddMatMult.c \
-    src/bdd/cudd/cuddPriority.c \
-    src/bdd/cudd/cuddRead.c \
-    src/bdd/cudd/cuddRef.c \
-    src/bdd/cudd/cuddReorder.c \
-    src/bdd/cudd/cuddSat.c \
-    src/bdd/cudd/cuddSign.c \
-    src/bdd/cudd/cuddSolve.c \
-    src/bdd/cudd/cuddSplit.c \
-    src/bdd/cudd/cuddSubsetHB.c \
-    src/bdd/cudd/cuddSubsetSP.c \
-    src/bdd/cudd/cuddSymmetry.c \
-    src/bdd/cudd/cuddTable.c \
-    src/bdd/cudd/cuddUtil.c \
-    src/bdd/cudd/cuddWindow.c \
-    src/bdd/cudd/cuddZddCount.c \
-    src/bdd/cudd/cuddZddFuncs.c \
-    src/bdd/cudd/cuddZddGroup.c \
-    src/bdd/cudd/cuddZddIsop.c \
-    src/bdd/cudd/cuddZddLin.c \
-    src/bdd/cudd/cuddZddMisc.c \
-    src/bdd/cudd/cuddZddPort.c \
-    src/bdd/cudd/cuddZddReord.c \
-    src/bdd/cudd/cuddZddSetop.c \
-    src/bdd/cudd/cuddZddSymm.c \
-    src/bdd/cudd/cuddZddUtil.c 
diff --git a/src/bdd/cudd/r7x8.1.mat b/src/bdd/cudd/r7x8.1.mat
deleted file mode 100644
index b0dd0a0a..00000000
--- a/src/bdd/cudd/r7x8.1.mat
+++ /dev/null
@@ -1,53 +0,0 @@
-7 9
-0 0 1
-0 1 1
-0 2 1
-0 3 4
-0 4 3
-0 5 3
-0 6 3
-0 8 3
-1 0 4
-1 1 3
-1 2 2
-1 3 4
-1 4 1
-1 5 2
-1 6 4
-1 8 3
-2 0 1
-2 1 1
-2 2 4
-2 4 2
-2 5 3
-2 6 3
-2 8 3
-3 0 2
-3 1 1
-3 3 4
-3 4 4
-3 5 1
-3 8 1
-4 0 2
-4 1 3
-4 2 2
-4 3 4
-4 4 1
-4 5 1
-4 6 2
-4 8 2
-5 0 3
-5 1 3
-5 2 4
-5 3 4
-5 4 1
-5 5 3
-5 6 3
-5 8 4
-6 1 1
-6 2 1
-6 3 4
-6 4 2
-6 5 4
-6 6 4
-6 8 2
diff --git a/src/bdd/cudd/testcudd.c b/src/bdd/cudd/testcudd.c
deleted file mode 100644
index d8affadc..00000000
--- a/src/bdd/cudd/testcudd.c
+++ /dev/null
@@ -1,988 +0,0 @@
-/**CFile***********************************************************************
-
-  FileName    [testcudd.c]
-
-  PackageName [cudd]
-
-  Synopsis    [Sanity check tests for some CUDD functions.]
-
-  Description [testcudd reads a matrix with real coefficients and
-  transforms it into an ADD. It then performs various operations on
-  the ADD and on the BDD corresponding to the ADD pattern. Finally,
-  testcudd tests functions relate to Walsh matrices and matrix
-  multiplication.]
-
-  SeeAlso     []
-
-  Author      [Fabio Somenzi]
-
-  Copyright [ This file was created at the University of Colorado at
-  Boulder.  The University of Colorado at Boulder makes no warranty
-  about the suitability of this software for any purpose.  It is
-  presented on an AS IS basis.]
-
-******************************************************************************/
-
-#include "util_hack.h"
-#include "cuddInt.h"
-
-
-/*---------------------------------------------------------------------------*/
-/* Constant declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#define TESTCUDD_VERSION    "TestCudd Version #1.0, Release date 3/17/01"
-
-/*---------------------------------------------------------------------------*/
-/* Variable declarations                                                     */
-/*---------------------------------------------------------------------------*/
-
-#ifndef lint
-static char rcsid[] DD_UNUSED = "$Id: testcudd.c,v 1.1.1.1 2003/02/24 22:23:54 wjiang Exp $";
-#endif
-
-static char *onames[] = { "C", "M" }; /* names of functions to be dumped */
-
-/**AutomaticStart*************************************************************/
-
-/*---------------------------------------------------------------------------*/
-/* Static function prototypes                                                */
-/*---------------------------------------------------------------------------*/
-
-static void usage ARGS((char * prog));
-static FILE *open_file ARGS((char *filename, char *mode));
-static int testIterators ARGS((DdManager *dd, DdNode *M, DdNode *C, int pr));
-static int testXor ARGS((DdManager *dd, DdNode *f, int pr, int nvars));
-static int testHamming ARGS((DdManager *dd, DdNode *f, int pr, int nvars));
-static int testWalsh ARGS((DdManager *dd, int N, int cmu, int approach, int pr));
-
-/**AutomaticEnd***************************************************************/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Main function for testcudd.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-int
-main(int argc, char **argv)
-{
-    FILE *fp;           /* pointer to input file */
-    char *file = "";    /* input file name */
-    FILE *dfp = NULL;    /* pointer to dump file */
-    char *dfile;    /* file for DD dump */
-    DdNode *dfunc[2];    /* addresses of the functions to be dumped */
-    DdManager *dd;    /* pointer to DD manager */
-    DdNode *one, *zero;    /* fast access to constant functions */
-    DdNode *M;
-    DdNode **x;        /* pointers to variables */
-    DdNode **y;        /* pointers to variables */
-    DdNode **xn;           /* complements of row variables */
-    DdNode **yn_;          /* complements of column variables */
-    DdNode **xvars;
-    DdNode **yvars;
-    DdNode *C;        /* result of converting from ADD to BDD */
-    DdNode *ess;    /* cube of essential variables */
-    DdNode *shortP;    /* BDD cube of shortest path */
-    DdNode *largest;    /* BDD of largest cube */
-    DdNode *shortA;    /* ADD cube of shortest path */
-    DdNode *constN;    /* value returned by evaluation of ADD */
-    DdNode *ycube;    /* cube of the negated y vars for c-proj */
-    DdNode *CP;        /* C-Projection of C */
-    DdNode *CPr;    /* C-Selection of C */
-    int    length;    /* length of the shortest path */
-    int    nx;            /* number of variables */
-    int    ny;
-    int    maxnx;
-    int    maxny;
-    int    m;
-    int    n;
-    int    N;
-    int    cmu;            /* use CMU multiplication */
-    int    pr;            /* verbose printout level */
-    int    harwell;
-    int    multiple;        /* read multiple matrices */
-    int    ok;
-    int    c;            /* variable to read in options */
-    int    approach;        /* reordering approach */
-    int    autodyn;        /* automatic reordering */
-    int    groupcheck;        /* option for group sifting */
-    int    profile;        /* print heap profile if != 0 */
-    int    keepperm;        /* keep track of permutation */
-    int    clearcache;        /* clear the cache after each matrix */
-    int    blifOrDot;        /* dump format: 0 -> dot, 1 -> blif, ... */
-    int    retval;        /* return value */
-    int    i;            /* loop index */
-    long   startTime;        /* initial time */
-    long   lapTime;
-    int    size;
-    unsigned int cacheSize, maxMemory;
-    unsigned int nvars,nslots;
-
-    startTime = util_cpu_time();
-
-    approach = CUDD_REORDER_NONE;
-    autodyn = 0;
-    pr = 0;
-    harwell = 0;
-    multiple = 0;
-    profile = 0;
-    keepperm = 0;
-    cmu = 0;
-    N = 4;
-    nvars = 4;
-    cacheSize = 127;
-    maxMemory = 0;
-    nslots = CUDD_UNIQUE_SLOTS;
-    clearcache = 0;
-    groupcheck = CUDD_GROUP_CHECK7;
-    dfile = NULL;
-    blifOrDot = 0; /* dot format */
-
-    /* Parse command line. */
-    while ((c = util_getopt(argc, argv, "CDHMPS:a:bcd:g:hkmn:p:v:x:X:"))
-       != EOF) {
-    switch(c) {
-    case 'C':
-        cmu = 1;
-        break;
-    case 'D':
-        autodyn = 1;
-        break;
-    case 'H':
-        harwell = 1;
-        break;
-    case 'M':
-#ifdef MNEMOSYNE
-        (void) mnem_setrecording(0);
-#endif
-        break;
-    case 'P':
-        profile = 1;
-        break;
-    case 'S':
-        nslots = atoi(util_optarg);
-        break;
-    case 'X':
-        maxMemory = atoi(util_optarg);
-        break;
-    case 'a':
-        approach = atoi(util_optarg);
-        break;
-    case 'b':
-        blifOrDot = 1; /* blif format */
-        break;
-    case 'c':
-        clearcache = 1;
-        break;
-    case 'd':
-        dfile = util_optarg;
-        break;
-    case 'g':
-        groupcheck = atoi(util_optarg);
-        break;
-    case 'k':
-        keepperm = 1;
-        break;
-    case 'm':
-        multiple = 1;
-        break;
-    case 'n':
-        N = atoi(util_optarg);
-        break;
-    case 'p':
-        pr = atoi(util_optarg);
-        break;
-    case 'v':
-        nvars = atoi(util_optarg);
-        break;
-    case 'x':
-        cacheSize = atoi(util_optarg);
-        break;
-    case 'h':
-    default:
-        usage(argv[0]);
-        break;
-    }
-    }
-
-    if (argc - util_optind == 0) {
-    file = "-";
-    } else if (argc - util_optind == 1) {
-    file = argv[util_optind];
-    } else {
-    usage(argv[0]);
-    }
-    if ((approach<0) || (approach>17)) {
-    (void) fprintf(stderr,"Invalid approach: %d \n",approach);
-    usage(argv[0]);
-    }
-
-    if (pr >= 0) {
-    (void) printf("# %s\n", TESTCUDD_VERSION);
-    /* Echo command line and arguments. */
-    (void) printf("#");
-    for (i = 0; i < argc; i++) {
-        (void) printf(" %s", argv[i]);
-    }
-    (void) printf("\n");
-    (void) fflush(stdout);
-    }
-
-    /* Initialize manager and provide easy reference to terminals. */
-    dd = Cudd_Init(nvars,0,nslots,cacheSize,maxMemory);
-    one = DD_ONE(dd);
-    zero = DD_ZERO(dd);
-    dd->groupcheck = (Cudd_AggregationType) groupcheck;
-    if (autodyn) Cudd_AutodynEnable(dd,CUDD_REORDER_SAME);
-
-    /* Open input file. */
-    fp = open_file(file, "r");
-
-    /* Open dump file if requested */
-    if (dfile != NULL) {
-    dfp = open_file(dfile, "w");
-    }
-
-    x = y = xn = yn_ = NULL;
-    do {
-    /* We want to start anew for every matrix. */
-    maxnx = maxny = 0;
-    nx = maxnx; ny = maxny;
-    if (pr>0) lapTime = util_cpu_time();
-    if (harwell) {
-        if (pr >= 0) (void) printf(":name: ");
-        ok = Cudd_addHarwell(fp, dd, &M, &x, &y, &xn, &yn_, &nx, &ny,
-        &m, &n, 0, 2, 1, 2, pr);
-    } else {
-        ok = Cudd_addRead(fp, dd, &M, &x, &y, &xn, &yn_, &nx, &ny,
-        &m, &n, 0, 2, 1, 2);
-        if (pr >= 0)
-        (void) printf(":name: %s: %d rows %d columns\n", file, m, n);
-    }
-    if (!ok) {
-        (void) fprintf(stderr, "Error reading matrix\n");
-        exit(1);
-    }
-
-    if (nx > maxnx) maxnx = nx;
-    if (ny > maxny) maxny = ny;
-
-    /* Build cube of negated y's. */
-    ycube = DD_ONE(dd);
-    Cudd_Ref(ycube);
-    for (i = maxny - 1; i >= 0; i--) {
-        DdNode *tmpp;
-        tmpp = Cudd_bddAnd(dd,Cudd_Not(dd->vars[y[i]->index]),ycube);
-        if (tmpp == NULL) exit(2);
-        Cudd_Ref(tmpp);
-        Cudd_RecursiveDeref(dd,ycube);
-        ycube = tmpp;
-    }
-    /* Initialize vectors of BDD variables used by priority func. */
-    xvars = ALLOC(DdNode *, nx);
-    if (xvars == NULL) exit(2);
-    for (i = 0; i < nx; i++) {
-        xvars[i] = dd->vars[x[i]->index];
-    }
-    yvars = ALLOC(DdNode *, ny);
-    if (yvars == NULL) exit(2);
-    for (i = 0; i < ny; i++) {
-        yvars[i] = dd->vars[y[i]->index];
-    }
-
-    /* Clean up */
-    for (i=0; i < maxnx; i++) {
-        Cudd_RecursiveDeref(dd, x[i]);
-        Cudd_RecursiveDeref(dd, xn[i]);
-    }
-    FREE(x);
-    FREE(xn);
-    for (i=0; i < maxny; i++) {
-        Cudd_RecursiveDeref(dd, y[i]);
-        Cudd_RecursiveDeref(dd, yn_[i]);
-    }
-    FREE(y);
-    FREE(yn_);
-
-    if (pr>0) {(void) printf(":1: M"); Cudd_PrintDebug(dd,M,nx+ny,pr);}
-
-    if (pr>0) (void) printf(":2: time to read the matrix = %s\n",
-            util_print_time(util_cpu_time() - lapTime));
-
-    C = Cudd_addBddPattern(dd, M);
-    if (C == 0) exit(2);
-    Cudd_Ref(C);
-    if (pr>0) {(void) printf(":3: C"); Cudd_PrintDebug(dd,C,nx+ny,pr);}
-
-    /* Test iterators. */
-    retval = testIterators(dd,M,C,pr);
-    if (retval == 0) exit(2);
-
-    cuddCacheProfile(dd,stdout);
-
-    /* Test XOR */
-    retval = testXor(dd,C,pr,nx+ny);
-    if (retval == 0) exit(2);
-
-    /* Test Hamming distance functions. */
-    retval = testHamming(dd,C,pr,nx+ny);
-    if (retval == 0) exit(2);
-
-    /* Test selection functions. */
-    CP = Cudd_CProjection(dd,C,ycube);
-    if (CP == NULL) exit(2);
-    Cudd_Ref(CP);
-    if (pr>0) {(void) printf("ycube"); Cudd_PrintDebug(dd,ycube,nx+ny,pr);}
-    if (pr>0) {(void) printf("CP"); Cudd_PrintDebug(dd,CP,nx+ny,pr);}
-
-    if (nx == ny) {
-        CPr = Cudd_PrioritySelect(dd,C,xvars,yvars,(DdNode **)NULL,
-        (DdNode *)NULL,ny,Cudd_Xgty);
-        if (CPr == NULL) exit(2);
-        Cudd_Ref(CPr);
-        if (pr>0) {(void) printf(":4: CPr"); Cudd_PrintDebug(dd,CPr,nx+ny,pr);}
-        if (CP != CPr) {
-        (void) printf("CP != CPr!\n");
-        }
-        Cudd_RecursiveDeref(dd, CPr);
-    }
-    FREE(xvars); FREE(yvars);
-
-    Cudd_RecursiveDeref(dd, CP);
-    Cudd_RecursiveDeref(dd, ycube);
-
-    /* Test functions for essential variables. */
-    ess = Cudd_FindEssential(dd,C);
-    if (ess == NULL) exit(2);
-    Cudd_Ref(ess);
-    if (pr>0) {(void) printf(":4: ess"); Cudd_PrintDebug(dd,ess,nx+ny,pr);}
-    Cudd_RecursiveDeref(dd, ess);
-
-    /* Test functions for shortest paths. */
-    shortP = Cudd_ShortestPath(dd, M, NULL, NULL, &length);
-    if (shortP == NULL) exit(2);
-    Cudd_Ref(shortP);
-    if (pr>0) {
-        (void) printf(":5: shortP"); Cudd_PrintDebug(dd,shortP,nx+ny,pr);
-    }
-    /* Test functions for largest cubes. */
-    largest = Cudd_LargestCube(dd, Cudd_Not(C), &length);
-    if (largest == NULL) exit(2);
-    Cudd_Ref(largest);
-    if (pr>0) {
-        (void) printf(":5b: largest");
-        Cudd_PrintDebug(dd,largest,nx+ny,pr);
-    }
-    Cudd_RecursiveDeref(dd, largest);
-
-    /* Test Cudd_addEvalConst and Cudd_addIteConstant. */
-    shortA = Cudd_BddToAdd(dd,shortP);
-    if (shortA == NULL) exit(2);
-    Cudd_Ref(shortA);
-    Cudd_RecursiveDeref(dd, shortP);
-    constN = Cudd_addEvalConst(dd,shortA,M);
-    if (constN == DD_NON_CONSTANT) exit(2);
-    if (Cudd_addIteConstant(dd,shortA,M,constN) != constN) exit(2);
-    if (pr>0) {(void) printf("The value of M along the chosen shortest path is %g\n", cuddV(constN));}
-    Cudd_RecursiveDeref(dd, shortA);
-
-    shortP = Cudd_ShortestPath(dd, C, NULL, NULL, &length);
-    if (shortP == NULL) exit(2);
-    Cudd_Ref(shortP);
-    if (pr>0) {
-        (void) printf(":6: shortP"); Cudd_PrintDebug(dd,shortP,nx+ny,pr);
-    }
-
-    /* Test Cudd_bddIteConstant and Cudd_bddLeq. */
-    if (!Cudd_bddLeq(dd,shortP,C)) exit(2);
-    if (Cudd_bddIteConstant(dd,Cudd_Not(shortP),one,C) != one) exit(2);
-    Cudd_RecursiveDeref(dd, shortP);
-
-    if (profile) {
-        retval = cuddHeapProfile(dd);
-    }
-
-    size = dd->size;
-
-    if (pr>0) {
-        (void) printf("Average distance: %g\n", Cudd_AverageDistance(dd));
-    }
-
-    /* Reorder if so requested. */
-        if (approach != CUDD_REORDER_NONE) {
-#ifndef DD_STATS
-        retval = Cudd_EnableReorderingReporting(dd);
-        if (retval == 0) {
-        (void) fprintf(stderr,"Error reported by Cudd_EnableReorderingReporting\n");
-        exit(3);
-        }
-#endif
-#ifdef DD_DEBUG
-        retval = Cudd_DebugCheck(dd);
-        if (retval != 0) {
-        (void) fprintf(stderr,"Error reported by Cudd_DebugCheck\n");
-        exit(3);
-        }
-        retval = Cudd_CheckKeys(dd);
-        if (retval != 0) {
-        (void) fprintf(stderr,"Error reported by Cudd_CheckKeys\n");
-        exit(3);
-        }
-#endif
-        retval = Cudd_ReduceHeap(dd,(Cudd_ReorderingType)approach,5);
-        if (retval == 0) {
-        (void) fprintf(stderr,"Error reported by Cudd_ReduceHeap\n");
-        exit(3);
-        }
-#ifndef DD_STATS
-        retval = Cudd_DisableReorderingReporting(dd);
-        if (retval == 0) {
-        (void) fprintf(stderr,"Error reported by Cudd_DisableReorderingReporting\n");
-        exit(3);
-        }
-#endif
-#ifdef DD_DEBUG
-        retval = Cudd_DebugCheck(dd);
-        if (retval != 0) {
-        (void) fprintf(stderr,"Error reported by Cudd_DebugCheck\n");
-        exit(3);
-        }
-        retval = Cudd_CheckKeys(dd);
-        if (retval != 0) {
-        (void) fprintf(stderr,"Error reported by Cudd_CheckKeys\n");
-        exit(3);
-        }
-#endif
-        if (approach == CUDD_REORDER_SYMM_SIFT ||
-        approach == CUDD_REORDER_SYMM_SIFT_CONV) {
-        Cudd_SymmProfile(dd,0,dd->size-1);
-        }
-
-        if (pr>0) {
-        (void) printf("Average distance: %g\n", Cudd_AverageDistance(dd));
-        }
-
-        if (keepperm) {
-        /* Print variable permutation. */
-        (void) printf("Variable Permutation:");
-        for (i=0; i<size; i++) {
-            if (i%20 == 0) (void) printf("\n");
-            (void) printf("%d ", dd->invperm[i]);
-        }
-        (void) printf("\n");
-        (void) printf("Inverse Permutation:");
-        for (i=0; i<size; i++) {
-            if (i%20 == 0) (void) printf("\n");
-            (void) printf("%d ", dd->perm[i]);
-        }
-        (void) printf("\n");
-        }
-
-        if (pr>0) {(void) printf("M"); Cudd_PrintDebug(dd,M,nx+ny,pr);}
-
-        if (profile) {
-        retval = cuddHeapProfile(dd);
-        }
-
-    }
-
-    /* Dump DDs of C and M if so requested. */
-    if (dfile != NULL) {
-        dfunc[0] = C;
-        dfunc[1] = M;
-        if (blifOrDot == 1) {
-        /* Only dump C because blif cannot handle ADDs */
-        retval = Cudd_DumpBlif(dd,1,dfunc,NULL,onames,NULL,dfp);
-        } else {
-        retval = Cudd_DumpDot(dd,2,dfunc,NULL,onames,dfp);
-        }
-        if (retval != 1) {
-        (void) fprintf(stderr,"abnormal termination\n");
-        exit(2);
-        }
-    }
-
-    Cudd_RecursiveDeref(dd, C);
-    Cudd_RecursiveDeref(dd, M);
-
-    if (clearcache) {
-        if (pr>0) {(void) printf("Clearing the cache... ");}
-        for (i = dd->cacheSlots - 1; i>=0; i--) {
-        dd->cache[i].data = NIL(DdNode);
-        }
-        if (pr>0) {(void) printf("done\n");}
-    }
-    if (pr>0) {
-        (void) printf("Number of variables = %6d\t",dd->size);
-        (void) printf("Number of slots     = %6d\n",dd->slots);
-        (void) printf("Number of keys      = %6d\t",dd->keys);
-        (void) printf("Number of min dead  = %6d\n",dd->minDead);
-    }
-
-    } while (multiple && !feof(fp));
-
-    fclose(fp);
-    if (dfile != NULL) {
-    fclose(dfp);
-    }
-
-    /* Second phase: experiment with Walsh matrices. */
-    if (!testWalsh(dd,N,cmu,approach,pr)) {
-    exit(2);
-    }
-
-    /* Check variable destruction. */
-    assert(cuddDestroySubtables(dd,3));
-    assert(Cudd_DebugCheck(dd) == 0);
-    assert(Cudd_CheckKeys(dd) == 0);
-
-    retval = Cudd_CheckZeroRef(dd);
-    ok = retval != 0;  /* ok == 0 means O.K. */
-    if (retval != 0) {
-    (void) fprintf(stderr,
-        "%d non-zero DD reference counts after dereferencing\n", retval);
-    }
-
-    if (pr >= 0) {
-    (void) Cudd_PrintInfo(dd,stdout);
-    }
-
-    Cudd_Quit(dd);
-
-#ifdef MNEMOSYNE
-    mnem_writestats();
-#endif
-
-    if (pr>0) (void) printf("total time = %s\n",
-        util_print_time(util_cpu_time() - startTime));
-
-    if (pr >= 0) util_print_cpu_stats(stdout);
-    exit(ok);
-    /* NOTREACHED */
-
-} /* end of main */
-
-
-/*---------------------------------------------------------------------------*/
-/* Definition of static functions                                            */
-/*---------------------------------------------------------------------------*/
-
-
-/**Function********************************************************************
-
-  Synopsis    [Prints usage info for testcudd.]
-
-  Description []
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static void
-usage(char *prog)
-{
-    (void) fprintf(stderr, "usage: %s [options] [file]\n", prog);
-    (void) fprintf(stderr, "   -C\t\tuse CMU multiplication algorithm\n");
-    (void) fprintf(stderr, "   -D\t\tenable automatic dynamic reordering\n");
-    (void) fprintf(stderr, "   -H\t\tread matrix in Harwell format\n");
-    (void) fprintf(stderr, "   -M\t\tturns off memory allocation recording\n");
-    (void) fprintf(stderr, "   -P\t\tprint BDD heap profile\n");
-    (void) fprintf(stderr, "   -S n\t\tnumber of slots for each subtable\n");
-    (void) fprintf(stderr, "   -X n\t\ttarget maximum memory in bytes\n");
-    (void) fprintf(stderr, "   -a n\t\tchoose reordering approach (0-13)\n");
-    (void) fprintf(stderr, "   \t\t\t0: same as autoMethod\n");
-    (void) fprintf(stderr, "   \t\t\t1: no reordering (default)\n");
-    (void) fprintf(stderr, "   \t\t\t2: random\n");
-    (void) fprintf(stderr, "   \t\t\t3: pivot\n");
-    (void) fprintf(stderr, "   \t\t\t4: sifting\n");
-    (void) fprintf(stderr, "   \t\t\t5: sifting to convergence\n");
-    (void) fprintf(stderr, "   \t\t\t6: symmetric sifting\n");
-    (void) fprintf(stderr, "   \t\t\t7: symmetric sifting to convergence\n");
-    (void) fprintf(stderr, "   \t\t\t8-10: window of size 2-4\n");
-    (void) fprintf(stderr, "   \t\t\t11-13: window of size 2-4 to conv.\n");
-    (void) fprintf(stderr, "   \t\t\t14: group sifting\n");
-    (void) fprintf(stderr, "   \t\t\t15: group sifting to convergence\n");
-    (void) fprintf(stderr, "   \t\t\t16: simulated annealing\n");
-    (void) fprintf(stderr, "   \t\t\t17: genetic algorithm\n");
-    (void) fprintf(stderr, "   -b\t\tuse blif as format for dumps\n");
-    (void) fprintf(stderr, "   -c\t\tclear the cache after each matrix\n");
-    (void) fprintf(stderr, "   -d file\tdump DDs to file\n");
-    (void) fprintf(stderr, "   -g\t\tselect aggregation criterion (0,5,7)\n");
-    (void) fprintf(stderr, "   -h\t\tprints this message\n");
-    (void) fprintf(stderr, "   -k\t\tprint the variable permutation\n");
-    (void) fprintf(stderr, "   -m\t\tread multiple matrices (only with -H)\n");
-    (void) fprintf(stderr, "   -n n\t\tnumber of variables\n");
-    (void) fprintf(stderr, "   -p n\t\tcontrol verbosity\n");
-    (void) fprintf(stderr, "   -v n\t\tinitial variables in the unique table\n");
-    (void) fprintf(stderr, "   -x n\t\tinitial size of the cache\n");
-    exit(2);
-} /* end of usage */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Opens a file.]
-
-  Description [Opens a file, or fails with an error message and exits.
-  Allows '-' as a synonym for standard input.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static FILE *
-open_file(char *filename, char *mode)
-{
-    FILE *fp;
-
-    if (strcmp(filename, "-") == 0) {
-        return mode[0] == 'r' ? stdin : stdout;
-    } else if ((fp = fopen(filename, mode)) == NULL) {
-        perror(filename);
-        exit(1);
-    }
-    return fp;
-
-} /* end of open_file */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Tests Walsh matrix multiplication.]
-
-  Description [Tests Walsh matrix multiplication.  Return 1 if successful;
-  0 otherwise.]
-
-  SideEffects [May create new variables in the manager.]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-testWalsh(
-  DdManager *dd /* manager */,
-  int N /* number of variables */,
-  int cmu /* use CMU approach to matrix multiplication */,
-  int approach /* reordering approach */,
-  int pr /* verbosity level */)
-{
-    DdNode *walsh1, *walsh2, *wtw;
-    DdNode **x, **v, **z;
-    int i, retval;
-    DdNode *one = DD_ONE(dd);
-    DdNode *zero = DD_ZERO(dd);
-
-    if (N > 3) {
-    x = ALLOC(DdNode *,N);
-    v = ALLOC(DdNode *,N);
-    z = ALLOC(DdNode *,N);
-
-    for (i = N-1; i >= 0; i--) {
-        Cudd_Ref(x[i]=cuddUniqueInter(dd,3*i,one,zero));
-        Cudd_Ref(v[i]=cuddUniqueInter(dd,3*i+1,one,zero));
-        Cudd_Ref(z[i]=cuddUniqueInter(dd,3*i+2,one,zero));
-    }
-    Cudd_Ref(walsh1 = Cudd_addWalsh(dd,v,z,N));
-    if (pr>0) {(void) printf("walsh1"); Cudd_PrintDebug(dd,walsh1,2*N,pr);}
-    Cudd_Ref(walsh2 = Cudd_addWalsh(dd,x,v,N));
-    if (cmu) {
-        Cudd_Ref(wtw = Cudd_addTimesPlus(dd,walsh2,walsh1,v,N));
-    } else {
-        Cudd_Ref(wtw = Cudd_addMatrixMultiply(dd,walsh2,walsh1,v,N));
-    }
-    if (pr>0) {(void) printf("wtw"); Cudd_PrintDebug(dd,wtw,2*N,pr);}
-
-    if (approach != CUDD_REORDER_NONE) {
-#ifdef DD_DEBUG
-        retval = Cudd_DebugCheck(dd);
-        if (retval != 0) {
-        (void) fprintf(stderr,"Error reported by Cudd_DebugCheck\n");
-        return(0);
-        }
-#endif
-        retval = Cudd_ReduceHeap(dd,(Cudd_ReorderingType)approach,5);
-        if (retval == 0) {
-        (void) fprintf(stderr,"Error reported by Cudd_ReduceHeap\n");
-        return(0);
-        }
-#ifdef DD_DEBUG
-        retval = Cudd_DebugCheck(dd);
-        if (retval != 0) {
-        (void) fprintf(stderr,"Error reported by Cudd_DebugCheck\n");
-        return(0);
-        }
-#endif
-        if (approach == CUDD_REORDER_SYMM_SIFT ||
-        approach == CUDD_REORDER_SYMM_SIFT_CONV) {
-        Cudd_SymmProfile(dd,0,dd->size-1);
-        }
-    }
-    /* Clean up. */
-    Cudd_RecursiveDeref(dd, wtw);
-    Cudd_RecursiveDeref(dd, walsh1);
-    Cudd_RecursiveDeref(dd, walsh2);
-    for (i=0; i < N; i++) {
-        Cudd_RecursiveDeref(dd, x[i]);
-        Cudd_RecursiveDeref(dd, v[i]);
-        Cudd_RecursiveDeref(dd, z[i]);
-    }
-    FREE(x);
-    FREE(v);
-    FREE(z);
-    }
-    return(1);
-
-} /* end of testWalsh */
-
-/**Function********************************************************************
-
-  Synopsis    [Tests iterators.]
-
-  Description [Tests iterators on cubes and nodes.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-testIterators(
-  DdManager *dd,
-  DdNode *M,
-  DdNode *C,
-  int pr)
-{
-    int *cube;
-    CUDD_VALUE_TYPE value;
-    DdGen *gen;
-    int q;
-
-    /* Test iterator for cubes. */
-    if (pr>1) {
-    (void) printf("Testing iterator on cubes:\n");
-    Cudd_ForeachCube(dd,M,gen,cube,value) {
-        for (q = 0; q < dd->size; q++) {
-        switch (cube[q]) {
-        case 0:
-            (void) printf("0");
-            break;
-        case 1:
-            (void) printf("1");
-            break;
-        case 2:
-            (void) printf("-");
-            break;
-        default:
-            (void) printf("?");
-        }
-        }
-        (void) printf(" %g\n",value);
-    }
-    (void) printf("\n");
-    }
-
-    if (pr>1) {
-    (void) printf("Testing prime expansion of cubes:\n");
-    if (!Cudd_bddPrintCover(dd,C,C)) return(0);
-    }
-
-    /* Test iterator on nodes. */
-    if (pr>2) {
-    DdGen *gen;
-    DdNode *node;
-    (void) printf("Testing iterator on nodes:\n");
-    Cudd_ForeachNode(dd,M,gen,node) {
-        if (Cudd_IsConstant(node)) {
-#if SIZEOF_VOID_P == 8
-        (void) printf("ID = 0x%lx\tvalue = %-9g\n",
-                  (unsigned long) node /
-                  (unsigned long) sizeof(DdNode),
-                  Cudd_V(node));
-#else
-        (void) printf("ID = 0x%x\tvalue = %-9g\n",
-                  (unsigned int) node /
-                  (unsigned int) sizeof(DdNode),
-                  Cudd_V(node));
-#endif
-        } else {
-#if SIZEOF_VOID_P == 8
-        (void) printf("ID = 0x%lx\tindex = %d\tr = %d\n",
-                  (unsigned long) node /
-                  (unsigned long) sizeof(DdNode),
-                  node->index, node->ref);
-#else
-        (void) printf("ID = 0x%x\tindex = %d\tr = %d\n",
-                  (unsigned int) node /
-                  (unsigned int) sizeof(DdNode),
-                  node->index, node->ref);
-#endif
-        }
-    }
-    (void) printf("\n");
-    }
-    return(1);
-
-} /* end of testIterators */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Tests the functions related to the exclusive OR.]
-
-  Description [Tests the functions related to the exclusive OR. It
-  builds the boolean difference of the given function in three
-  different ways and checks that the results is the same. Returns 1 if
-  successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-testXor(DdManager *dd, DdNode *f, int pr, int nvars)
-{
-    DdNode *f1, *f0, *res1, *res2;
-    int x;
-
-    /* Extract cofactors w.r.t. mid variable. */
-    x = nvars / 2;
-    f1 = Cudd_Cofactor(dd,f,dd->vars[x]);
-    if (f1 == NULL) return(0);
-    Cudd_Ref(f1);
-
-    f0 = Cudd_Cofactor(dd,f,Cudd_Not(dd->vars[x]));
-    if (f0 == NULL) {
-    Cudd_RecursiveDeref(dd,f1);
-    return(0);
-    }
-    Cudd_Ref(f0);
-
-    /* Compute XOR of cofactors with ITE. */
-    res1 = Cudd_bddIte(dd,f1,Cudd_Not(f0),f0);
-    if (res1 == NULL) return(0);
-    Cudd_Ref(res1);
-
-    if (pr>0) {(void) printf("xor1"); Cudd_PrintDebug(dd,res1,nvars,pr);}
-
-    /* Compute XOR of cofactors with XOR. */
-    res2 = Cudd_bddXor(dd,f1,f0);
-    if (res2 == NULL) {
-    Cudd_RecursiveDeref(dd,res1);
-    return(0);
-    }
-    Cudd_Ref(res2);
-
-    if (res1 != res2) {
-    if (pr>0) {(void) printf("xor2"); Cudd_PrintDebug(dd,res2,nvars,pr);}
-    Cudd_RecursiveDeref(dd,res1);
-    Cudd_RecursiveDeref(dd,res2);
-    return(0);
-    }
-    Cudd_RecursiveDeref(dd,res1);
-    Cudd_RecursiveDeref(dd,f1);
-    Cudd_RecursiveDeref(dd,f0);
-
-    /* Compute boolean difference directly. */
-    res1 = Cudd_bddBooleanDiff(dd,f,x);
-    if (res1 == NULL) {
-    Cudd_RecursiveDeref(dd,res2);
-    return(0);
-    }
-    Cudd_Ref(res1);
-
-    if (res1 != res2) {
-    if (pr>0) {(void) printf("xor3"); Cudd_PrintDebug(dd,res1,nvars,pr);}
-    Cudd_RecursiveDeref(dd,res1);
-    Cudd_RecursiveDeref(dd,res2);
-    return(0);
-    }
-    Cudd_RecursiveDeref(dd,res1);
-    Cudd_RecursiveDeref(dd,res2);
-    return(1);
-
-} /* end of testXor */
-
-
-/**Function********************************************************************
-
-  Synopsis    [Tests the Hamming distance functions.]
-
-  Description [Tests the Hammming distance functions. Returns
-  1 if successful; 0 otherwise.]
-
-  SideEffects [None]
-
-  SeeAlso     []
-
-******************************************************************************/
-static int
-testHamming(
-  DdManager *dd,
-  DdNode *f,
-  int pr,
-  int nvars)
-{
-    DdNode **vars, *minBdd, *zero, *scan;
-    int i;
-    int d;
-    int *minterm;
-    int size = Cudd_ReadSize(dd);
-
-    vars = ALLOC(DdNode *, size);
-    if (vars == NULL) return(0);
-    for (i = 0; i < size; i++) {
-    vars[i] = Cudd_bddIthVar(dd,i);
-    }
-
-    minBdd = Cudd_bddPickOneMinterm(dd,Cudd_Not(f),vars,size);
-    Cudd_Ref(minBdd);
-    if (pr > 0) {
-    (void) printf("Chosen minterm for Hamming distance test: ");
-    Cudd_PrintDebug(dd,minBdd,size,pr);
-    }
-
-    minterm = ALLOC(int,size);
-    if (minterm == NULL) {
-    FREE(vars);
-    Cudd_RecursiveDeref(dd,minBdd);
-    return(0);
-    }
-    scan = minBdd;
-    zero = Cudd_Not(DD_ONE(dd));
-    while (!Cudd_IsConstant(scan)) {
-    DdNode *R = Cudd_Regular(scan);
-    DdNode *T = Cudd_T(R);
-    DdNode *E = Cudd_E(R);
-    if (R != scan) {
-        T = Cudd_Not(T);
-        E = Cudd_Not(E);
-    }
-    if (T == zero) {
-        minterm[R->index] = 0;
-        scan = E;
-    } else {
-        minterm[R->index] = 1;
-        scan = T;
-    }
-    }
-    Cudd_RecursiveDeref(dd,minBdd);
-
-    d = Cudd_MinHammingDist(dd,f,minterm,size);
-
-    (void) printf("Minimum Hamming distance = %d\n", d);
-
-    FREE(vars);
-    FREE(minterm);
-    return(1);
-
-} /* end of testHamming */