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-/**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 */
-