/**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_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_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_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_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_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 [Performs a recursive step of Extra_SymmPairsCompute.]
Description [Returns the set of symmetric variable pairs represented as a set
of two-literal ZDD cubes. Both variables always appear in the positive polarity
in the cubes. This function works without building new BDD nodes. Some relatively
small number of ZDD nodes may be built to ensure proper bookkeeping of the
symmetry information.]
SideEffects []
SeeAlso []
******************************************************************************/
DdNode *
extraZddSymmPairsCompute(
DdManager * dd, /* the manager */
DdNode * bFunc, /* the function whose symmetries are computed */
DdNode * bVars ) /* the set of variables on which this function depends */
{
DdNode * zRes;
DdNode * bFR = Cudd_Regular(bFunc);
if ( cuddIsConstant(bFR) )
{
int nVars, i;
// determine how many vars are in the bVars
nVars = Extra_bddSuppSize( dd, bVars );
if ( nVars < 2 )
return z0;
else
{
DdNode * bVarsK;
// create the BDD bVarsK corresponding to K = 2;
bVarsK = bVars;
for ( i = 0; i < nVars-2; i++ )
bVarsK = cuddT( bVarsK );
return extraZddTuplesFromBdd( dd, bVarsK, bVars );
}
}
assert( bVars != b1 );
if ( (zRes = cuddCacheLookup2Zdd(dd, extraZddSymmPairsCompute, bFunc, bVars)) )
return zRes;
else
{
DdNode * zRes0, * zRes1;
DdNode * zTemp, * zPlus, * zSymmVars;
DdNode * bF0, * bF1;
DdNode * bVarsNew;
int nVarsExtra;
int LevelF;
// every variable in bF should be also in bVars, therefore LevelF cannot be above LevelV
// if LevelF is below LevelV, scroll through the vars in bVars to the same level as F
// count how many extra vars are there in bVars
nVarsExtra = 0;
LevelF = dd->perm[bFR->index];
for ( bVarsNew = bVars; LevelF > dd->perm[bVarsNew->index]; bVarsNew = cuddT(bVarsNew) )
nVarsExtra++;
// the indexes (level) of variables should be synchronized now
assert( bFR->index == bVarsNew->index );
// cofactor the function
if ( bFR != bFunc ) // bFunc is complemented
{
bF0 = Cudd_Not( cuddE(bFR) );
bF1 = Cudd_Not( cuddT(bFR) );
}
else
{
bF0 = cuddE(bFR);
bF1 = cuddT(bFR);
}
// solve subproblems
zRes0 = extraZddSymmPairsCompute( dd, bF0, cuddT(bVarsNew) );
if ( zRes0 == NULL )
return NULL;
cuddRef( zRes0 );
// if there is no symmetries in the negative cofactor
// there is no need to test the positive cofactor
if ( zRes0 == z0 )
zRes = zRes0; // zRes takes reference
else
{
zRes1 = extraZddSymmPairsCompute( dd, bF1, cuddT(bVarsNew) );
if ( zRes1 == NULL )
{
Cudd_RecursiveDerefZdd( dd, zRes0 );
return NULL;
}
cuddRef( zRes1 );
// only those variables are pair-wise symmetric
// that are pair-wise symmetric in both cofactors
// therefore, intersect the solutions
zRes = cuddZddIntersect( dd, zRes0, zRes1 );
if ( zRes == NULL )
{
Cudd_RecursiveDerefZdd( dd, zRes0 );
Cudd_RecursiveDerefZdd( dd, zRes1 );
return NULL;
}
cuddRef( zRes );
Cudd_RecursiveDerefZdd( dd, zRes0 );
Cudd_RecursiveDerefZdd( dd, zRes1 );
}
// consider the current top-most variable and find all the vars
// that are pairwise symmetric with it
// these variables are returned as a set of ZDD singletons
zSymmVars = extraZddGetSymmetricVars( dd, bF1, bF0, cuddT(bVarsNew) );
if ( zSymmVars == NULL )
{
Cudd_RecursiveDerefZdd( dd, zRes );
return NULL;
}
cuddRef( zSymmVars );
// attach the topmost variable to the set, to get the variable pairs
// use the positive polarity ZDD variable for the purpose
// there is no need to do so, if zSymmVars is empty
if ( zSymmVars == z0 )
Cudd_RecursiveDerefZdd( dd, zSymmVars );
else
{
zPlus = cuddZddGetNode( dd, 2*bFR->index, zSymmVars, z0 );
if ( zPlus == NULL )
{
Cudd_RecursiveDerefZdd( dd, zRes );
Cudd_RecursiveDerefZdd( dd, zSymmVars );
return NULL;
}
cuddRef( zPlus );
cuddDeref( zSymmVars );
// add these variable pairs to the result
zRes = cuddZddUnion( dd, zTemp = zRes, zPlus );
if ( zRes == NULL )
{
Cudd_RecursiveDerefZdd( dd, zTemp );
Cudd_RecursiveDerefZdd( dd, zPlus );
return NULL;
}
cuddRef( zRes );
Cudd_RecursiveDerefZdd( dd, zTemp );
Cudd_RecursiveDerefZdd( dd, zPlus );
}
// only zRes is referenced at this point
// if we skipped some variables, these variables cannot be symmetric with
// any variables that are currently in the support of bF, but they can be
// symmetric with the variables that are in bVars but not in the support of bF
if ( nVarsExtra )
{
// it is possible to improve this step:
// (1) there is no need to enter here, if nVarsExtra < 2
// create the set of topmost nVarsExtra in bVars
DdNode * bVarsExtra;
int nVars;
// remove from bVars all the variable that are in the support of bFunc
bVarsExtra = extraBddReduceVarSet( dd, bVars, bFunc );
if ( bVarsExtra == NULL )
{
Cudd_RecursiveDerefZdd( dd, zRes );
return NULL;
}
cuddRef( bVarsExtra );
// determine how many vars are in the bVarsExtra
nVars = Extra_bddSuppSize( dd, bVarsExtra );
if ( nVars < 2 )
{
Cudd_RecursiveDeref( dd, bVarsExtra );
}
else
{
int i;
DdNode * bVarsK;
// create the BDD bVarsK corresponding to K = 2;
bVarsK = bVarsExtra;
for ( i = 0; i < nVars-2; i++ )
bVarsK = cuddT( bVarsK );
// create the 2 variable tuples
zPlus = extraZddTuplesFromBdd( dd, bVarsK, bVarsExtra );
if ( zPlus == NULL )
{
Cudd_RecursiveDeref( dd, bVarsExtra );
Cudd_RecursiveDerefZdd( dd, zRes );
return NULL;
}
cuddRef( zPlus );
Cudd_RecursiveDeref( dd, bVarsExtra );
// add these to the result
zRes = cuddZddUnion( dd, zTemp = zRes, zPlus );
if ( zRes == NULL )
{
Cudd_RecursiveDerefZdd( dd, zTemp );
Cudd_RecursiveDerefZdd( dd, zPlus );
return NULL;
}
cuddRef( zRes );
Cudd_RecursiveDerefZdd( dd, zTemp );
Cudd_RecursiveDerefZdd( dd, zPlus );
}
}
cuddDeref( zRes );
/* insert the result into cache */
cuddCacheInsert2(dd, extraZddSymmPairsCompute, bFunc, bVars, zRes);
return zRes;
}
} /* end of extraZddSymmPairsCompute */
/**Function********************************************************************
Synopsis [Performs the reordering-sensitive step of Extra_zddTupleFromBdd().]
Description [Generates in a bottom-up fashion ZDD for all combinations
composed of k variables out of variables belonging to Support.]
SideEffects []
SeeAlso []
******************************************************************************/
DdNode* extraZddTuplesFromBdd(
DdManager * dd, /* the DD manager */
DdNode * bVarsK, /* the number of variables in tuples */
DdNode * bVarsN) /* the set of all variables */
{
DdNode *zRes, *zRes0, *zRes1;
statLine(dd);
/* terminal cases */
/* if ( k < 0 || k > n )
* return dd->zero;
* if ( n == 0 )
* return dd->one;
*/
if ( cuddI( dd, bVarsK->index ) < cuddI( dd, bVarsN->index ) )
return z0;
if ( bVarsN == b1 )
return z1;
/* check cache */
zRes = cuddCacheLookup2Zdd(dd, extraZddTuplesFromBdd, bVarsK, bVarsN);
if (zRes)
return(zRes);
/* ZDD in which this variable is 0 */
/* zRes0 = extraZddTuplesFromBdd( dd, k, n-1 ); */
zRes0 = extraZddTuplesFromBdd( dd, bVarsK, cuddT(bVarsN) );
if ( zRes0 == NULL )
return NULL;
cuddRef( zRes0 );
/* ZDD in which this variable is 1 */
/* zRes1 = extraZddTuplesFromBdd( dd, k-1, n-1 ); */
if ( bVarsK == b1 )
{
zRes1 = z0;
cuddRef( zRes1 );
}
else
{
zRes1 = extraZddTuplesFromBdd( dd, cuddT(bVarsK), cuddT(bVarsN) );
if ( zRes1 == NULL )
{
Cudd_RecursiveDerefZdd( dd, zRes0 );
return NULL;
}
cuddRef( zRes1 );
}
/* compose Res0 and Res1 with the given ZDD variable */
zRes = cuddZddGetNode( dd, 2*bVarsN->index, zRes1, zRes0 );
if ( zRes == NULL )
{
Cudd_RecursiveDerefZdd( dd, zRes0 );
Cudd_RecursiveDerefZdd( dd, zRes1 );
return NULL;
}
cuddDeref( zRes0 );
cuddDeref( zRes1 );
/* insert the result into cache */
cuddCacheInsert2(dd, extraZddTuplesFromBdd, bVarsK, bVarsN, zRes);
return zRes;
} /* end of extraZddTuplesFromBdd */
/**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_FALSE(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 */