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authorAlan Mishchenko <alanmi@berkeley.edu>2007-09-30 08:01:00 -0700
committerAlan Mishchenko <alanmi@berkeley.edu>2007-09-30 08:01:00 -0700
commite54d9691616b9a0326e2fdb3156bb4eeb8abfcd7 (patch)
treede3ffe87c3e17950351e3b7d97fa18318bd5ea9a /src/bdd/cudd/cuddAddWalsh.c
parent7d7e60f2dc84393cd4c5db22d2eaf7b1fb1a79b2 (diff)
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-/**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 */