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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.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 */
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