/**Function********************************************************************
Synopsis [This function prepares an array of variables which have not been
encountered so far when traversing the procedure cuddSplitSetRecur.]
Description [This function prepares an array of variables which have not been
encountered so far when traversing the procedure cuddSplitSetRecur. This
array is then used to extract the required number of minterms from a constant
1. The algorithm guarantees that the size of BDD will be utmost \log(n).]
SideEffects [None]
******************************************************************************/
static DdNode *
selectMintermsFromUniverse(
DdManager * manager,
int * varSeen,
double n)
{
int numVars;
int i, size, j;
DdNode *one, *zero, *result;
DdNode **vars;
numVars = 0;
size = manager->size;
one = DD_ONE(manager);
zero = Cudd_Not(one);
/* Count the number of variables not encountered so far in procedure
** cuddSplitSetRecur.
*/
for (i = size-1; i >= 0; i--) {
if(varSeen[i] == 0)
numVars++;
}
vars = ALLOC(DdNode *, numVars);
if (!vars) {
manager->errorCode = CUDD_MEMORY_OUT;
return(NULL);
}
j = 0;
for (i = size-1; i >= 0; i--) {
if(varSeen[i] == 0) {
vars[j] = cuddUniqueInter(manager,manager->perm[i],one,zero);
cuddRef(vars[j]);
j++;
}
}
/* Compute a function which has n minterms and depends on at most
** numVars variables.
*/
result = mintermsFromUniverse(manager,vars,numVars,n, 0);
if (result)
cuddRef(result);
for (i = 0; i < numVars; i++)
Cudd_RecursiveDeref(manager,vars[i]);
FREE(vars);
return(result);
} /* end of selectMintermsFromUniverse */
/**Function********************************************************************
Synopsis [Replaces variables with constants if possible.]
Description [This function performs part of the transformation to
standard form by replacing variables with constants if possible.]
SideEffects [None]
SeeAlso [bddVarToCanonical bddVarToCanonicalSimple]
******************************************************************************/
static void
bddVarToConst(
DdNode * f,
DdNode ** gp,
DdNode ** hp,
DdNode * one)
{
DdNode *g = *gp;
DdNode *h = *hp;
if (f == g) { /* ITE(F,F,H) = ITE(F,1,H) = F + H */
*gp = one;
} else if (f == Cudd_Not(g)) { /* ITE(F,!F,H) = ITE(F,0,H) = !F * H */
*gp = Cudd_Not(one);
}
if (f == h) { /* ITE(F,G,F) = ITE(F,G,0) = F * G */
*hp = Cudd_Not(one);
} else if (f == Cudd_Not(h)) { /* ITE(F,G,!F) = ITE(F,G,1) = !F + G */
*hp = one;
}
} /* end of bddVarToConst */
/**Function********************************************************************
Synopsis [Checks whether cube is an BDD representing the product of
positive literals.]
Description [Returns 1 in case of success; 0 otherwise.]
SideEffects [None]
******************************************************************************/
static int
bddCheckPositiveCube(
DdManager * manager,
DdNode * cube)
{
if (Cudd_IsComplement(cube)) return(0);
if (cube == DD_ONE(manager)) return(1);
if (cuddIsConstant(cube)) return(0);
if (cuddE(cube) == Cudd_Not(DD_ONE(manager))) {
return(bddCheckPositiveCube(manager, cuddT(cube)));
}
return(0);
} /* end of bddCheckPositiveCube */
/**Function********************************************************************
Synopsis [Universally abstracts all the variables in cube from f.]
Description [Universally abstracts all the variables in cube from f.
Returns the abstracted BDD if successful; NULL otherwise.]
SideEffects [None]
SeeAlso [Cudd_bddExistAbstract Cudd_addUnivAbstract]
******************************************************************************/
DdNode *
Cudd_bddUnivAbstract(
DdManager * manager,
DdNode * f,
DdNode * cube)
{
DdNode *res;
if (bddCheckPositiveCube(manager, cube) == 0) {
(void) fprintf(manager->err,
"Error: Can only abstract positive cubes\n");
manager->errorCode = CUDD_INVALID_ARG;
return(NULL);
}
do {
manager->reordered = 0;
res = cuddBddExistAbstractRecur(manager, Cudd_Not(f), cube);
} while (manager->reordered == 1);
if (res != NULL) res = Cudd_Not(res);
return(res);
} /* end of Cudd_bddUnivAbstract */
/**Function********************************************************************
Synopsis [Computes the exclusive NOR of two BDDs f and g.]
Description [Computes the exclusive NOR of two BDDs f and g. Returns a
pointer to the resulting BDD if successful; NULL if the intermediate
result blows up.]
SideEffects [None]
SeeAlso [Cudd_bddIte Cudd_addApply Cudd_bddAnd Cudd_bddOr
Cudd_bddNand Cudd_bddNor Cudd_bddXor]
******************************************************************************/
DdNode *
Cudd_bddXnor(
DdManager * dd,
DdNode * f,
DdNode * g)
{
DdNode *res;
do {
dd->reordered = 0;
res = cuddBddXorRecur(dd,f,Cudd_Not(g));
} while (dd->reordered == 1);
return(res);
} /* end of Cudd_bddXnor */
/**Function********************************************************************
Synopsis [Computes the Hamming distance ADD.]
Description [Computes the Hamming distance ADD. Returns an ADD that
gives the Hamming distance between its two arguments if successful;
NULL otherwise. The two vectors xVars and yVars identify the variables
that form the two arguments.]
SideEffects [None]
SeeAlso []
******************************************************************************/
DdNode *
Cudd_addHamming(
DdManager * dd,
DdNode ** xVars,
DdNode ** yVars,
int nVars)
{
DdNode *result,*tempBdd;
DdNode *tempAdd,*temp;
int i;
result = DD_ZERO(dd);
cuddRef(result);
for (i = 0; i < nVars; i++) {
tempBdd = Cudd_bddIte(dd,xVars[i],Cudd_Not(yVars[i]),yVars[i]);
if (tempBdd == NULL) {
Cudd_RecursiveDeref(dd,result);
return(NULL);
}
cuddRef(tempBdd);
tempAdd = Cudd_BddToAdd(dd,tempBdd);
if (tempAdd == NULL) {
Cudd_RecursiveDeref(dd,tempBdd);
Cudd_RecursiveDeref(dd,result);
return(NULL);
}
cuddRef(tempAdd);
Cudd_RecursiveDeref(dd,tempBdd);
temp = Cudd_addApply(dd,Cudd_addPlus,tempAdd,result);
if (temp == NULL) {
Cudd_RecursiveDeref(dd,tempAdd);
Cudd_RecursiveDeref(dd,result);
return(NULL);
}
cuddRef(temp);
Cudd_RecursiveDeref(dd,tempAdd);
Cudd_RecursiveDeref(dd,result);
result = temp;
}
cuddDeref(result);
return(result);
} /* end of Cudd_addHamming */
/**
* @brief Basic BDD test.
* @return 0 if successful; -1 otherwise.
*/
static int
testBdd(int verbosity)
{
DdManager *dd;
DdNode *f, *var, *tmp;
int i, ret;
dd = Cudd_Init(0, 0, CUDD_UNIQUE_SLOTS, CUDD_CACHE_SLOTS, 0);
if (!dd) {
if (verbosity) {
printf("initialization failed\n");
}
return -1;
}
if (verbosity) {
printf("Started CUDD version ");
Cudd_PrintVersion(stdout);
}
f = Cudd_ReadOne(dd);
Cudd_Ref(f);
for (i = 3; i >= 0; i--) {
var = Cudd_bddIthVar(dd, i);
tmp = Cudd_bddAnd(dd, Cudd_Not(var), f);
if (!tmp) {
if (verbosity) {
printf("computation failed\n");
}
return -1;
}
Cudd_Ref(tmp);
Cudd_RecursiveDeref(dd, f);
f = tmp;
}
if (verbosity) {
Cudd_bddPrintCover(dd, f, f);
}
Cudd_RecursiveDeref(dd, f);
ret = Cudd_CheckZeroRef(dd);
if (ret != 0 && verbosity) {
printf("%d unexpected non-zero references\n", ret);
}
Cudd_Quit(dd);
return 0;
}
/**Function********************************************************************
Synopsis [Computes the exclusive NOR of two BDDs f and g. Returns
NULL if too many nodes are required.]
Description [Computes the exclusive NOR of two BDDs f and g. Returns a
pointer to the resulting BDD if successful; NULL if the intermediate
result blows up or more new nodes than <code>limit</code> are
required.]
SideEffects [None]
SeeAlso [Cudd_bddXnor]
******************************************************************************/
DdNode *
Cudd_bddXnorLimit(
DdManager * dd,
DdNode * f,
DdNode * g,
unsigned int limit)
{
DdNode *res;
unsigned int saveLimit = dd->maxLive;
dd->maxLive = (dd->keys - dd->dead) + (dd->keysZ - dd->deadZ) + limit;
do {
dd->reordered = 0;
res = cuddBddXorRecur(dd,f,Cudd_Not(g));
} while (dd->reordered == 1);
dd->maxLive = saveLimit;
return(res);
} /* end of Cudd_bddXnorLimit */
/**Function*************************************************************
Synopsis []
Description []
SideEffects []
SeeAlso []
***********************************************************************/
DdNode * Abc_MvReadCube( DdManager * dd, char * pLine, int nVars )
{
DdNode * bCube, * bVar, * bTemp;
int i;
bCube = Cudd_ReadOne(dd); Cudd_Ref( bCube );
for ( i = 0; i < nVars; i++ )
{
if ( pLine[i] == '-' )
continue;
else if ( pLine[i] == '0' ) // 0
bVar = Cudd_Not( Cudd_bddIthVar(dd, 29-i) );
else if ( pLine[i] == '1' ) // 1
bVar = Cudd_bddIthVar(dd, 29-i);
else assert(0);
bCube = Cudd_bddAnd( dd, bTemp = bCube, bVar ); Cudd_Ref( bCube );
Cudd_RecursiveDeref( dd, bTemp );
}
Cudd_Deref( bCube );
return bCube;
}
/**Function********************************************************************
Synopsis [Computes the cofactor of f with respect to g.]
Description [Computes the cofactor of f with respect to g; g must be
the BDD or the ADD of a cube. Returns a pointer to the cofactor if
successful; NULL otherwise.]
SideEffects [None]
SeeAlso [Cudd_bddConstrain Cudd_bddRestrict]
******************************************************************************/
DdNode *
Cudd_Cofactor(
DdManager * dd,
DdNode * f,
DdNode * g)
{
DdNode *res,*zero;
zero = Cudd_Not(DD_ONE(dd));
if (g == zero || g == DD_ZERO(dd)) {
(void) fprintf(stdout,"Cudd_Cofactor: Invalid restriction 1\n");
return(NULL);
}
do {
dd->reordered = 0;
res = cuddCofactorRecur(dd,f,g);
} while (dd->reordered == 1);
return(res);
} /* end of Cudd_Cofactor */
/**Function********************************************************************
Synopsis [Computes the boolean difference of f with respect to x.]
Description [Computes the boolean difference of f with respect to the
variable with index x. Returns the BDD of the boolean difference if
successful; NULL otherwise.]
SideEffects [None]
SeeAlso []
******************************************************************************/
DdNode *
Cudd_bddBooleanDiff(
DdManager * manager,
DdNode * f,
int x)
{
DdNode *res, *var;
/* If the variable is not currently in the manager, f cannot
** depend on it.
*/
if (x >= manager->size) return(Cudd_Not(DD_ONE(manager)));
var = manager->vars[x];
do {
manager->reordered = 0;
res = cuddBddBooleanDiffRecur(manager, Cudd_Regular(f), var);
} while (manager->reordered == 1);
return(res);
} /* end of Cudd_bddBooleanDiff */
/**Function********************************************************************
Synopsis [Checks whether g is the BDD of a cube.]
Description [Checks whether g is the BDD of a cube. Returns 1 in case
of success; 0 otherwise. The constant 1 is a valid cube, but all other
constant functions cause cuddCheckCube to return 0.]
SideEffects [None]
SeeAlso []
******************************************************************************/
int
cuddCheckCube(
DdManager * dd,
DdNode * g)
{
DdNode *g1,*g0,*one,*zero;
one = DD_ONE(dd);
if (g == one) return(1);
if (Cudd_IsConstant(g)) return(0);
zero = Cudd_Not(one);
cuddGetBranches(g,&g1,&g0);
if (g0 == zero) {
return(cuddCheckCube(dd, g1));
}
if (g1 == zero) {
return(cuddCheckCube(dd, g0));
}
return(0);
} /* end of cuddCheckCube */
/* encode the program counter in an array of boolean variables */
DdNode* bdd_encode_pc(DdManager* m, DdNode* node, int** pc_array, int pc_size,
int proc, int pc) {
int i;
DdNode* tmp, *var;
DdNode* ret = Cudd_ReadOne(m);
Cudd_Ref(ret);
for (i=0; i<pc_size; i++) { /* iterate for each bit in pc_size */
var = Cudd_bddIthVar(m, pc_array[proc][i]);
if (pc % 2) /* encode true bit */
tmp = Cudd_bddAnd(m, var, ret);
else /* encode false bit */
tmp = Cudd_bddAnd(m, Cudd_Not(var), ret);
Cudd_Ref(tmp);
Cudd_RecursiveDeref(m, ret); /* release the old bdd each time a new */
ret = tmp; /* one is made */
pc /= 2;
}
tmp = Cudd_bddAnd(m, ret, node); /* add encoding to existing edge */
Cudd_Ref(tmp);
Cudd_RecursiveDeref(m, ret);
Cudd_RecursiveDeref(m, node);
return tmp; /* return updated edge */
}
/* Compute negation. Creates CUDD reference. For ZDDs, records as reference */
ref_t shadow_negate(shadow_mgr mgr, ref_t a) {
ref_t r = REF_INVALID;
if (REF_IS_INVALID(a))
return a;
if (do_ref(mgr))
r = REF_NEGATE(a);
else {
DdNode *an = get_ddnode(mgr, a);
if (is_zdd(mgr, a)) {
DdNode *zone = Cudd_ReadZddOne(mgr->bdd_manager, 0);
reference_dd(mgr, zone);
DdNode *ann = Cudd_zddDiff(mgr->bdd_manager, zone, an);
reference_dd(mgr, ann);
unreference_dd(mgr, zone, IS_ZDD);
r = dd2ref(ann, IS_ZDD);
// For ZDDs, don't already have negated values recorded
add_ref(mgr, r, ann);
} else if (is_add(mgr, a)) {
DdNode *ann = Cudd_addCmpl(mgr->bdd_manager, an);
reference_dd(mgr, ann);
r = dd2ref(ann, IS_ADD);
// For ADDs, don't already have negated values recorded
add_ref(mgr, r, ann);
} else {
DdNode *ann = Cudd_Not(an);
reference_dd(mgr, ann);
r = dd2ref(ann, IS_BDD);
}
}
#if RPT >= 5
char buf[24], nbuf[24];
shadow_show(mgr, a, buf);
shadow_show(mgr, r, nbuf);
report(5, "Negated %s to get %s", buf, nbuf);
#endif
return r;
}
/**Function********************************************************************
Synopsis [Generates a BDD for the function d(x,y) > d(y,z).]
Description [This function generates a BDD for the function d(x,y)
> d(y,z);
x, y, and z are N-bit numbers, x\[0\] x\[1\] ... x\[N-1\],
y\[0\] y\[1\] ... y\[N-1\], and z\[0\] z\[1\] ... z\[N-1\],
with 0 the most significant bit.
The distance d(x,y) is defined as:
\sum_{i=0}^{N-1}(|x_i - y_i| \cdot 2^{N-i-1}).
The BDD is built bottom-up.
It has 7*N-3 internal nodes, if the variables are ordered as follows:
x\[0\] y\[0\] z\[0\] x\[1\] y\[1\] z\[1\] ... x\[N-1\] y\[N-1\] z\[N-1\]. ]
SideEffects [None]
SeeAlso [Cudd_PrioritySelect Cudd_Dxygtdxz Cudd_Xgty Cudd_bddAdjPermuteX]
******************************************************************************/
DdNode *
Cudd_Dxygtdyz(
DdManager * dd /* DD manager */,
int N /* number of x, y, and z variables */,
DdNode ** x /* array of x variables */,
DdNode ** y /* array of y variables */,
DdNode ** z /* array of z variables */)
{
DdNode *one, *zero;
DdNode *z1, *z2, *z3, *z4, *y1_, *y2, *x1;
int i;
one = DD_ONE(dd);
zero = Cudd_Not(one);
/* Build bottom part of BDD outside loop. */
y1_ = Cudd_bddIte(dd, y[N-1], one, z[N-1]);
if (y1_ == NULL) return(NULL);
cuddRef(y1_);
y2 = Cudd_bddIte(dd, y[N-1], z[N-1], zero);
if (y2 == NULL) {
Cudd_RecursiveDeref(dd, y1_);
return(NULL);
}
cuddRef(y2);
x1 = Cudd_bddIte(dd, x[N-1], y1_, Cudd_Not(y2));
if (x1 == NULL) {
Cudd_RecursiveDeref(dd, y1_);
Cudd_RecursiveDeref(dd, y2);
return(NULL);
}
cuddRef(x1);
Cudd_RecursiveDeref(dd, y1_);
Cudd_RecursiveDeref(dd, y2);
/* Loop to build the rest of the BDD. */
for (i = N-2; i >= 0; i--) {
z1 = Cudd_bddIte(dd, z[i], x1, zero);
if (z1 == NULL) {
Cudd_RecursiveDeref(dd, x1);
return(NULL);
}
cuddRef(z1);
z2 = Cudd_bddIte(dd, z[i], x1, one);
if (z2 == NULL) {
Cudd_RecursiveDeref(dd, x1);
Cudd_RecursiveDeref(dd, z1);
return(NULL);
}
cuddRef(z2);
z3 = Cudd_bddIte(dd, z[i], one, x1);
if (z3 == NULL) {
Cudd_RecursiveDeref(dd, x1);
Cudd_RecursiveDeref(dd, z1);
Cudd_RecursiveDeref(dd, z2);
return(NULL);
}
cuddRef(z3);
z4 = Cudd_bddIte(dd, z[i], one, Cudd_Not(x1));
if (z4 == NULL) {
Cudd_RecursiveDeref(dd, x1);
Cudd_RecursiveDeref(dd, z1);
Cudd_RecursiveDeref(dd, z2);
Cudd_RecursiveDeref(dd, z3);
return(NULL);
}
cuddRef(z4);
Cudd_RecursiveDeref(dd, x1);
y1_ = Cudd_bddIte(dd, y[i], z2, z1);
if (y1_ == NULL) {
Cudd_RecursiveDeref(dd, z1);
Cudd_RecursiveDeref(dd, z2);
Cudd_RecursiveDeref(dd, z3);
Cudd_RecursiveDeref(dd, z4);
return(NULL);
}
cuddRef(y1_);
y2 = Cudd_bddIte(dd, y[i], z4, Cudd_Not(z3));
if (y2 == NULL) {
Cudd_RecursiveDeref(dd, z1);
Cudd_RecursiveDeref(dd, z2);
Cudd_RecursiveDeref(dd, z3);
Cudd_RecursiveDeref(dd, z4);
Cudd_RecursiveDeref(dd, y1_);
return(NULL);
}
cuddRef(y2);
Cudd_RecursiveDeref(dd, z1);
Cudd_RecursiveDeref(dd, z2);
Cudd_RecursiveDeref(dd, z3);
Cudd_RecursiveDeref(dd, z4);
x1 = Cudd_bddIte(dd, x[i], y1_, Cudd_Not(y2));
if (x1 == NULL) {
Cudd_RecursiveDeref(dd, y1_);
Cudd_RecursiveDeref(dd, y2);
return(NULL);
}
cuddRef(x1);
Cudd_RecursiveDeref(dd, y1_);
Cudd_RecursiveDeref(dd, y2);
}
cuddDeref(x1);
return(Cudd_Not(x1));
} /* end of Cudd_Dxygtdyz */
/**Function********************************************************************
Synopsis [Performs the recursive step of Cudd_MinHammingDist.]
Description [Performs the recursive step of Cudd_MinHammingDist.
It is based on the following identity. Let H(f) be the
minimum Hamming distance of the minterms of f from the reference
minterm. Then:
<xmp>
H(f) = min(H(f0)+h0,H(f1)+h1)
</xmp>
where f0 and f1 are the two cofactors of f with respect to its top
variable; h0 is 1 if the minterm assigns 1 to the top variable of f;
h1 is 1 if the minterm assigns 0 to the top variable of f.
The upper bound on the distance is used to bound the depth of the
recursion.
Returns the minimum distance unless it exceeds the upper bound or
computation fails.]
SideEffects [None]
SeeAlso [Cudd_MinHammingDist]
******************************************************************************/
static int
cuddMinHammingDistRecur(
DdNode * f,
int *minterm,
DdHashTable * table,
int upperBound)
{
DdNode *F, *Ft, *Fe;
double h, hT, hE;
DdNode *zero, *res;
DdManager *dd = table->manager;
statLine(dd);
if (upperBound == 0) return(0);
F = Cudd_Regular(f);
if (cuddIsConstant(F)) {
zero = Cudd_Not(DD_ONE(dd));
if (f == dd->background || f == zero) {
return(upperBound);
} else {
return(0);
}
}
if ((res = cuddHashTableLookup1(table,f)) != NULL) {
//Rob Apr 6 2001: might need to change this, not sure what it does.....
h = (*cuddV(res)).get_val();
if (res->ref == 0) {
dd->dead++;
dd->constants.dead++;
}
return((int) h);
}
Ft = cuddT(F); Fe = cuddE(F);
if (Cudd_IsComplement(f)) {
Ft = Cudd_Not(Ft); Fe = Cudd_Not(Fe);
}
if (minterm[F->index] == 0) {
DdNode *temp = Ft;
Ft = Fe; Fe = temp;
}
hT = cuddMinHammingDistRecur(Ft,minterm,table,upperBound);
if (hT == CUDD_OUT_OF_MEM) return(CUDD_OUT_OF_MEM);
if (hT == 0) {
hE = upperBound;
} else {
hE = cuddMinHammingDistRecur(Fe,minterm,table,upperBound - 1);
if (hE == CUDD_OUT_OF_MEM) return(CUDD_OUT_OF_MEM);
}
h = ddMin(hT, hE + 1);
if (F->ref != 1) {
ptrint fanout = (ptrint) F->ref;
cuddSatDec(fanout);
Terminal hTerminal;
hTerminal.set((double) h);
res = cuddUniqueConst(dd,&hTerminal);
//res = cuddUniqueConst(dd, (CUDD_VALUE_TYPE) h);
if (!cuddHashTableInsert1(table,f,res,fanout)) {
cuddRef(res); Cudd_RecursiveDeref(dd, res);
return(CUDD_OUT_OF_MEM);
}
}
return((int) h);
} /* end of cuddMinHammingDistRecur */
/**Function********************************************************************
Synopsis [Selects pairs from R using a priority function.]
Description [Selects pairs from a relation R(x,y) (given as a BDD)
in such a way that a given x appears in one pair only. Uses a
priority function to determine which y should be paired to a given x.
Cudd_PrioritySelect returns a pointer to
the selected function if successful; NULL otherwise.
Three of the arguments--x, y, and z--are vectors of BDD variables.
The first two are the variables on which R depends. The third vectore
is a vector of auxiliary variables, used during the computation. This
vector is optional. If a NULL value is passed instead,
Cudd_PrioritySelect will create the working variables on the fly.
The sizes of x and y (and z if it is not NULL) should equal n.
The priority function Pi can be passed as a BDD, or can be built by
Cudd_PrioritySelect. If NULL is passed instead of a DdNode *,
parameter Pifunc is used by Cudd_PrioritySelect to build a BDD for the
priority function. (Pifunc is a pointer to a C function.) If Pi is not
NULL, then Pifunc is ignored. Pifunc should have the same interface as
the standard priority functions (e.g., Cudd_Dxygtdxz).
Cudd_PrioritySelect and Cudd_CProjection can sometimes be used
interchangeably. Specifically, calling Cudd_PrioritySelect with
Cudd_Xgty as Pifunc produces the same result as calling
Cudd_CProjection with the all-zero minterm as reference minterm.
However, depending on the application, one or the other may be
preferable:
<ul>
<li> When extracting representatives from an equivalence relation,
Cudd_CProjection has the advantage of nor requiring the auxiliary
variables.
<li> When computing matchings in general bipartite graphs,
Cudd_PrioritySelect normally obtains better results because it can use
more powerful matching schemes (e.g., Cudd_Dxygtdxz).
</ul>
]
SideEffects [If called with z == NULL, will create new variables in
the manager.]
SeeAlso [Cudd_Dxygtdxz Cudd_Dxygtdyz Cudd_Xgty
Cudd_bddAdjPermuteX Cudd_CProjection]
******************************************************************************/
DdNode *
Cudd_PrioritySelect(
DdManager * dd /* manager */,
DdNode * R /* BDD of the relation */,
DdNode ** x /* array of x variables */,
DdNode ** y /* array of y variables */,
DdNode ** z /* array of z variables (optional: may be NULL) */,
DdNode * Pi /* BDD of the priority function (optional: may be NULL) */,
int n /* size of x, y, and z */,
DdNode * (*Pifunc)(DdManager *, int, DdNode **, DdNode **, DdNode **) /* function used to build Pi if it is NULL */)
{
DdNode *res = NULL;
DdNode *zcube = NULL;
DdNode *Rxz, *Q;
int createdZ = 0;
int createdPi = 0;
int i;
/* Create z variables if needed. */
if (z == NULL) {
if (Pi != NULL) return(NULL);
z = ALLOC(DdNode *,n);
if (z == NULL) {
dd->errorCode = CUDD_MEMORY_OUT;
return(NULL);
}
createdZ = 1;
for (i = 0; i < n; i++) {
if (dd->size >= (int) CUDD_MAXINDEX - 1) goto endgame;
z[i] = cuddUniqueInter(dd,dd->size,dd->one,Cudd_Not(dd->one));
if (z[i] == NULL) goto endgame;
}
}
/* Create priority function BDD if needed. */
if (Pi == NULL) {
Pi = Pifunc(dd,n,x,y,z);
if (Pi == NULL) goto endgame;
createdPi = 1;
cuddRef(Pi);
}
/* Initialize abstraction cube. */
zcube = DD_ONE(dd);
cuddRef(zcube);
for (i = n - 1; i >= 0; i--) {
DdNode *tmpp;
tmpp = Cudd_bddAnd(dd,z[i],zcube);
if (tmpp == NULL) goto endgame;
cuddRef(tmpp);
Cudd_RecursiveDeref(dd,zcube);
zcube = tmpp;
}
/* Compute subset of (x,y) pairs. */
Rxz = Cudd_bddSwapVariables(dd,R,y,z,n);
if (Rxz == NULL) goto endgame;
cuddRef(Rxz);
Q = Cudd_bddAndAbstract(dd,Rxz,Pi,zcube);
if (Q == NULL) {
Cudd_RecursiveDeref(dd,Rxz);
goto endgame;
}
cuddRef(Q);
Cudd_RecursiveDeref(dd,Rxz);
res = Cudd_bddAnd(dd,R,Cudd_Not(Q));
if (res == NULL) {
Cudd_RecursiveDeref(dd,Q);
goto endgame;
}
cuddRef(res);
Cudd_RecursiveDeref(dd,Q);
endgame:
if (zcube != NULL) Cudd_RecursiveDeref(dd,zcube);
if (createdZ) {
FREE(z);
}
if (createdPi) {
Cudd_RecursiveDeref(dd,Pi);
}
if (res != NULL) cuddDeref(res);
return(res);
} /* Cudd_PrioritySelect */
/**Function*************************************************************
Synopsis []
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Abc_MvRead( Mv_Man_t * p )
{
FILE * pFile;
char Buffer[1000], * pLine;
DdNode * bCube, * bTemp, * bProd, * bVar0, * bVar1, * bCubeSum;
int i, v;
// start the cube
bCubeSum = Cudd_ReadLogicZero(p->dd); Cudd_Ref( bCubeSum );
// start the values
for ( i = 0; i < 15; i++ )
for ( v = 0; v < 4; v++ )
{
p->bValues[i][v] = Cudd_ReadLogicZero(p->dd); Cudd_Ref( p->bValues[i][v] );
p->bValueDcs[i][v] = Cudd_ReadLogicZero(p->dd); Cudd_Ref( p->bValueDcs[i][v] );
}
// read the file
pFile = fopen( "input.pla", "r" );
while ( fgets( Buffer, 1000, pFile ) )
{
if ( Buffer[0] == '#' )
continue;
if ( Buffer[0] == '.' )
{
if ( Buffer[1] == 'e' )
break;
continue;
}
// get the cube
bCube = Abc_MvReadCube( p->dd, Buffer, 18 ); Cudd_Ref( bCube );
// add it to the values of the output functions
pLine = Buffer + 19;
for ( i = 0; i < 15; i++ )
{
if ( pLine[2*i] == '-' && pLine[2*i+1] == '-' )
{
for ( v = 0; v < 4; v++ )
{
p->bValueDcs[i][v] = Cudd_bddOr( p->dd, bTemp = p->bValueDcs[i][v], bCube ); Cudd_Ref( p->bValueDcs[i][v] );
Cudd_RecursiveDeref( p->dd, bTemp );
}
continue;
}
else if ( pLine[2*i] == '0' && pLine[2*i+1] == '0' ) // 0
v = 0;
else if ( pLine[2*i] == '1' && pLine[2*i+1] == '0' ) // 1
v = 1;
else if ( pLine[2*i] == '0' && pLine[2*i+1] == '1' ) // 2
v = 2;
else if ( pLine[2*i] == '1' && pLine[2*i+1] == '1' ) // 3
v = 3;
else assert( 0 );
// add the value
p->bValues[i][v] = Cudd_bddOr( p->dd, bTemp = p->bValues[i][v], bCube ); Cudd_Ref( p->bValues[i][v] );
Cudd_RecursiveDeref( p->dd, bTemp );
}
// add the cube
bCubeSum = Cudd_bddOr( p->dd, bTemp = bCubeSum, bCube ); Cudd_Ref( bCubeSum );
Cudd_RecursiveDeref( p->dd, bTemp );
Cudd_RecursiveDeref( p->dd, bCube );
}
// add the complement of the domain to all values
for ( i = 0; i < 15; i++ )
for ( v = 0; v < 4; v++ )
{
if ( p->bValues[i][v] == Cudd_Not(Cudd_ReadOne(p->dd)) )
continue;
p->bValues[i][v] = Cudd_bddOr( p->dd, bTemp = p->bValues[i][v], p->bValueDcs[i][v] ); Cudd_Ref( p->bValues[i][v] );
Cudd_RecursiveDeref( p->dd, bTemp );
p->bValues[i][v] = Cudd_bddOr( p->dd, bTemp = p->bValues[i][v], Cudd_Not(bCubeSum) ); Cudd_Ref( p->bValues[i][v] );
Cudd_RecursiveDeref( p->dd, bTemp );
}
printf( "Domain = %5.2f %%.\n", 100.0*Cudd_CountMinterm(p->dd, bCubeSum, 32)/Cudd_CountMinterm(p->dd, Cudd_ReadOne(p->dd), 32) );
Cudd_RecursiveDeref( p->dd, bCubeSum );
// create each output function
for ( i = 0; i < 15; i++ )
{
p->bFuncs[i] = Cudd_ReadLogicZero(p->dd); Cudd_Ref( p->bFuncs[i] );
for ( v = 0; v < 4; v++ )
{
bVar0 = Cudd_NotCond( Cudd_bddIthVar(p->dd, 30), ((v & 1) == 0) );
bVar1 = Cudd_NotCond( Cudd_bddIthVar(p->dd, 31), ((v & 2) == 0) );
bCube = Cudd_bddAnd( p->dd, bVar0, bVar1 ); Cudd_Ref( bCube );
bProd = Cudd_bddAnd( p->dd, p->bValues[i][v], bCube ); Cudd_Ref( bProd );
Cudd_RecursiveDeref( p->dd, bCube );
// add the value
p->bFuncs[i] = Cudd_bddOr( p->dd, bTemp = p->bFuncs[i], bProd ); Cudd_Ref( p->bFuncs[i] );
Cudd_RecursiveDeref( p->dd, bTemp );
Cudd_RecursiveDeref( p->dd, bProd );
}
}
}
/**Function********************************************************************
Synopsis [Performs a recursive step of Extra_bddReduceVarSet.]
Description [Returns the set of all variables in the given set that are not in the
support of the given function.]
SideEffects []
SeeAlso []
******************************************************************************/
DdNode * extraBddReduceVarSet(
DdManager * dd, /* the DD manager */
DdNode * bVars, /* the set of variables to be reduced */
DdNode * bF) /* the function whose support is used for reduction */
{
DdNode * bRes;
DdNode * bFR = Cudd_Regular(bF);
if ( cuddIsConstant(bFR) || bVars == b1 )
return bVars;
if ( (bRes = cuddCacheLookup2(dd, extraBddReduceVarSet, bVars, bF)) )
return bRes;
else
{
DdNode * bF0, * bF1;
DdNode * bVarsThis, * bVarsLower, * bTemp;
int LevelF;
// if LevelF is below LevelV, scroll through the vars in bVars
LevelF = dd->perm[bFR->index];
for ( bVarsThis = bVars; LevelF > cuddI(dd,bVarsThis->index); bVarsThis = cuddT(bVarsThis) );
// scroll also through the current var, because it should be not be added
if ( LevelF == cuddI(dd,bVarsThis->index) )
bVarsLower = cuddT(bVarsThis);
else
bVarsLower = bVarsThis;
// cofactor the function
if ( bFR != bF ) // bFunc is complemented
{
bF0 = Cudd_Not( cuddE(bFR) );
bF1 = Cudd_Not( cuddT(bFR) );
}
else
{
bF0 = cuddE(bFR);
bF1 = cuddT(bFR);
}
// solve subproblems
bRes = extraBddReduceVarSet( dd, bVarsLower, bF0 );
if ( bRes == NULL )
return NULL;
cuddRef( bRes );
bRes = extraBddReduceVarSet( dd, bTemp = bRes, bF1 );
if ( bRes == NULL )
{
Cudd_RecursiveDeref( dd, bTemp );
return NULL;
}
cuddRef( bRes );
Cudd_RecursiveDeref( dd, bTemp );
// the current var should not be added
// add the skipped vars
if ( bVarsThis != bVars )
{
DdNode * bVarsExtra;
// extract the skipped variables
bVarsExtra = cuddBddExistAbstractRecur( dd, bVars, bVarsThis );
if ( bVarsExtra == NULL )
{
Cudd_RecursiveDeref( dd, bRes );
return NULL;
}
cuddRef( bVarsExtra );
// add these variables
bRes = cuddBddAndRecur( dd, bTemp = bRes, bVarsExtra );
if ( bRes == NULL )
{
Cudd_RecursiveDeref( dd, bTemp );
Cudd_RecursiveDeref( dd, bVarsExtra );
return NULL;
}
cuddRef( bRes );
Cudd_RecursiveDeref( dd, bTemp );
Cudd_RecursiveDeref( dd, bVarsExtra );
}
cuddDeref( bRes );
cuddCacheInsert2( dd, extraBddReduceVarSet, bVars, bF, bRes );
return bRes;
}
} /* end of extraBddReduceVarSet */
/**Function********************************************************************
Synopsis [Creates a new DD manager.]
Description [Creates a new DD manager, initializes the table, the
basic constants and the projection functions. If maxMemory is 0,
Cudd_Init decides suitable values for the maximum size of the cache
and for the limit for fast unique table growth based on the available
memory. Returns a pointer to the manager if successful; NULL
otherwise.]
SideEffects [None]
SeeAlso [Cudd_Quit]
******************************************************************************/
DdManager *
Cudd_Init(
unsigned int numVars /* initial number of BDD variables (i.e., subtables) */,
unsigned int numVarsZ /* initial number of ZDD variables (i.e., subtables) */,
unsigned int numSlots /* initial size of the unique tables */,
unsigned int cacheSize /* initial size of the cache */,
unsigned long maxMemory /* target maximum memory occupation */)
{
DdManager *unique;
int i,result;
DdNode *one, *zero;
unsigned int maxCacheSize;
unsigned int looseUpTo;
extern void (*MMoutOfMemory)(long);
void (*saveHandler)(long);
if (maxMemory == 0) {
maxMemory = getSoftDataLimit();
}
looseUpTo = (unsigned int) ((maxMemory / sizeof(DdNode)) /
DD_MAX_LOOSE_FRACTION);
unique = cuddInitTable(numVars,numVarsZ,numSlots,looseUpTo);
unique->maxmem = (unsigned) maxMemory / 10 * 9;
if (unique == NULL) return(NULL);
maxCacheSize = (unsigned int) ((maxMemory / sizeof(DdCache)) /
DD_MAX_CACHE_FRACTION);
result = cuddInitCache(unique,cacheSize,maxCacheSize);
if (result == 0) return(NULL);
saveHandler = MMoutOfMemory;
MMoutOfMemory = Cudd_OutOfMem;
unique->stash = ALLOC(char,(maxMemory / DD_STASH_FRACTION) + 4);
MMoutOfMemory = saveHandler;
if (unique->stash == NULL) {
(void) fprintf(unique->err,"Unable to set aside memory\n");
}
/* Initialize constants. */
unique->one = cuddUniqueConst(unique,1.0);
if (unique->one == NULL) return(0);
cuddRef(unique->one);
unique->zero = cuddUniqueConst(unique,0.0);
if (unique->zero == NULL) return(0);
cuddRef(unique->zero);
#ifdef HAVE_IEEE_754
if (DD_PLUS_INF_VAL != DD_PLUS_INF_VAL * 3 ||
DD_PLUS_INF_VAL != DD_PLUS_INF_VAL / 3) {
(void) fprintf(unique->err,"Warning: Crippled infinite values\n");
(void) fprintf(unique->err,"Recompile without -DHAVE_IEEE_754\n");
}
#endif
unique->plusinfinity = cuddUniqueConst(unique,DD_PLUS_INF_VAL);
if (unique->plusinfinity == NULL) return(0);
cuddRef(unique->plusinfinity);
unique->minusinfinity = cuddUniqueConst(unique,DD_MINUS_INF_VAL);
if (unique->minusinfinity == NULL) return(0);
cuddRef(unique->minusinfinity);
unique->background = unique->zero;
/* The logical zero is different from the CUDD_VALUE_TYPE zero! */
one = unique->one;
zero = Cudd_Not(one);
/* Create the projection functions. */
unique->vars = ALLOC(DdNodePtr,unique->maxSize);
if (unique->vars == NULL) {
unique->errorCode = CUDD_MEMORY_OUT;
return(NULL);
}
for (i = 0; i < unique->size; i++) {
unique->vars[i] = cuddUniqueInter(unique,i,one,zero);
if (unique->vars[i] == NULL) return(0);
cuddRef(unique->vars[i]);
}
if (unique->sizeZ)
cuddZddInitUniv(unique);
unique->memused += sizeof(DdNode *) * unique->maxSize;
return(unique);
} /* end of Cudd_Init */
/**Function********************************************************************
Synopsis [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 */
bool qbf_skizzo_coret::get_certificate(void)
{
std::string result_tmp_file="ozziKs.out";
std::string options="-dump qbm=bdd";
std::string log_file = qbf_tmp_file + ".sKizzo.log";
system(("ozziKs " + options + " " + log_file +
" > "+result_tmp_file).c_str());
// read result
bool result=false;
{
std::ifstream in(result_tmp_file.c_str());
std::string key=" [OK, VALID,";
while(in)
{
std::string line;
std::getline(in, line);
if(line!="" && line[line.size()-1]=='\r')
line.resize(line.size()-1);
if(line.compare(0, key.size(), key)==0)
{
result=true;
break;
}
}
}
if(!result)
{
messaget::error("Skizzo failed: unknown result");
return true;
}
remove(result_tmp_file.c_str());
remove(log_file.c_str());
// certificate reconstruction done, now let's load it from the .qbm file
int n_e;
std::vector<int> e_list;
int e_max=0;
// check header
result=false;
{
std::ifstream in((qbf_tmp_file+".qbm").c_str());
std::string key="# existentials[";
std::string line;
std::getline(in, line);
assert(line=="# QBM file, 1.3");
while(in)
{
std::getline(in, line);
if(line!="" && line[line.size()-1]=='\r')
line.resize(line.size()-1);
if(line.compare(0, key.size(), key)==0)
{
result=true;
break;
}
}
size_t ob=line.find('[');
std::string n_es=line.substr(ob+1, line.find(']')-ob-1);
n_e=atoi(n_es.c_str());
assert(n_e!=0);
e_list.resize(n_e);
std::string e_lists=line.substr(line.find(':')+2);
for(int i=0; i<n_e; i++)
{
size_t space=e_lists.find(' ');
int cur=atoi(e_lists.substr(0, space).c_str());
assert(cur!=0);
e_list[i]=cur;
if(cur>e_max) e_max=cur;
e_lists = e_lists.substr(space+1);
}
if(!result)
throw ("Existential mapping from sKizzo missing");
in.close();
// workaround for long comments
system(("sed -e \"s/^#.*$/# no comment/\" -i "+qbf_tmp_file+".qbm").c_str());
}
{
DdNode **bdds;
std::string bdd_file=qbf_tmp_file+".qbm";
// dddmp insists on a non-const string here...
char filename[bdd_file.size()+1];
strcpy(filename, bdd_file.c_str());
bdd_manager->AutodynEnable(CUDD_REORDER_SIFT);
int nroots =
Dddmp_cuddBddArrayLoad(bdd_manager->getManager(),
DDDMP_ROOT_MATCHLIST, NULL,
DDDMP_VAR_MATCHIDS, NULL, NULL, NULL,
DDDMP_MODE_DEFAULT,
filename,
NULL,
&bdds);
assert(nroots=2*n_e); // ozziKs documentation guarantees that.
model_bdds.resize(e_max+1, NULL);
for(unsigned i=0; i<e_list.size(); i++)
{
int cur=e_list[i];
DdNode *posNode = bdds[2*i];
DdNode *negNode = bdds[2*i+1];
if(Cudd_DagSize(posNode) <= Cudd_DagSize(negNode))
model_bdds[cur]=new BDD(bdd_manager, posNode);
else
model_bdds[cur]=new BDD(bdd_manager, Cudd_Not(negNode));
}
// tell CUDD that we don't need those BDDs anymore.
for(int i=0; i<nroots; i++)
Cudd_Deref(bdds[i]);
free(bdds);
bdds=NULL;
remove(bdd_file.c_str());
remove((qbf_tmp_file+".qbm").c_str());
}
return false;
}
/**Function********************************************************************
Synopsis [Performs the recursive step of Cudd_CProjection.]
Description [Performs the recursive step of Cudd_CProjection. Returns
the projection if successful; NULL otherwise.]
SideEffects [None]
SeeAlso [Cudd_CProjection]
******************************************************************************/
DdNode *
cuddCProjectionRecur(
DdManager * dd,
DdNode * R,
DdNode * Y,
DdNode * Ysupp)
{
DdNode *res, *res1, *res2, *resA;
DdNode *r, *y, *RT, *RE, *YT, *YE, *Yrest, *Ra, *Ran, *Gamma, *Alpha;
unsigned int topR, topY, top, index;
DdNode *one = DD_ONE(dd);
statLine(dd);
if (Y == one) return(R);
#ifdef DD_DEBUG
assert(!Cudd_IsConstant(Y));
#endif
if (R == Cudd_Not(one)) return(R);
res = cuddCacheLookup2(dd, Cudd_CProjection, R, Y);
if (res != NULL) return(res);
r = Cudd_Regular(R);
topR = cuddI(dd,r->index);
y = Cudd_Regular(Y);
topY = cuddI(dd,y->index);
top = ddMin(topR, topY);
/* Compute the cofactors of R */
if (topR == top) {
index = r->index;
RT = cuddT(r);
RE = cuddE(r);
if (r != R) {
RT = Cudd_Not(RT); RE = Cudd_Not(RE);
}
} else {
RT = RE = R;
}
if (topY > top) {
/* Y does not depend on the current top variable.
** We just need to compute the results on the two cofactors of R
** and make them the children of a node labeled r->index.
*/
res1 = cuddCProjectionRecur(dd,RT,Y,Ysupp);
if (res1 == NULL) return(NULL);
cuddRef(res1);
res2 = cuddCProjectionRecur(dd,RE,Y,Ysupp);
if (res2 == NULL) {
Cudd_RecursiveDeref(dd,res1);
return(NULL);
}
cuddRef(res2);
res = cuddBddIteRecur(dd, dd->vars[index], res1, res2);
if (res == NULL) {
Cudd_RecursiveDeref(dd,res1);
Cudd_RecursiveDeref(dd,res2);
return(NULL);
}
/* If we have reached this point, res1 and res2 are now
** incorporated in res. cuddDeref is therefore sufficient.
*/
cuddDeref(res1);
cuddDeref(res2);
} else {
/* Compute the cofactors of Y */
index = y->index;
YT = cuddT(y);
YE = cuddE(y);
if (y != Y) {
YT = Cudd_Not(YT); YE = Cudd_Not(YE);
}
if (YT == Cudd_Not(one)) {
Alpha = Cudd_Not(dd->vars[index]);
Yrest = YE;
Ra = RE;
Ran = RT;
} else {
Alpha = dd->vars[index];
Yrest = YT;
Ra = RT;
Ran = RE;
}
Gamma = cuddBddExistAbstractRecur(dd,Ra,cuddT(Ysupp));
if (Gamma == NULL) return(NULL);
if (Gamma == one) {
res1 = cuddCProjectionRecur(dd,Ra,Yrest,cuddT(Ysupp));
if (res1 == NULL) return(NULL);
cuddRef(res1);
res = cuddBddAndRecur(dd, Alpha, res1);
if (res == NULL) {
Cudd_RecursiveDeref(dd,res1);
return(NULL);
}
cuddDeref(res1);
} else if (Gamma == Cudd_Not(one)) {
res1 = cuddCProjectionRecur(dd,Ran,Yrest,cuddT(Ysupp));
if (res1 == NULL) return(NULL);
cuddRef(res1);
res = cuddBddAndRecur(dd, Cudd_Not(Alpha), res1);
if (res == NULL) {
Cudd_RecursiveDeref(dd,res1);
return(NULL);
}
cuddDeref(res1);
} else {
cuddRef(Gamma);
resA = cuddCProjectionRecur(dd,Ran,Yrest,cuddT(Ysupp));
if (resA == NULL) {
Cudd_RecursiveDeref(dd,Gamma);
return(NULL);
}
cuddRef(resA);
res2 = cuddBddAndRecur(dd, Cudd_Not(Gamma), resA);
if (res2 == NULL) {
Cudd_RecursiveDeref(dd,Gamma);
Cudd_RecursiveDeref(dd,resA);
return(NULL);
}
cuddRef(res2);
Cudd_RecursiveDeref(dd,Gamma);
Cudd_RecursiveDeref(dd,resA);
res1 = cuddCProjectionRecur(dd,Ra,Yrest,cuddT(Ysupp));
if (res1 == NULL) {
Cudd_RecursiveDeref(dd,res2);
return(NULL);
}
cuddRef(res1);
res = cuddBddIteRecur(dd, Alpha, res1, res2);
if (res == NULL) {
Cudd_RecursiveDeref(dd,res1);
Cudd_RecursiveDeref(dd,res2);
return(NULL);
}
cuddDeref(res1);
cuddDeref(res2);
}
}
cuddCacheInsert2(dd,Cudd_CProjection,R,Y,res);
return(res);
} /* end of cuddCProjectionRecur */
/**Function********************************************************************
Synopsis [Performs the recursive step of Cudd_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 Extra_bddCheckVarsSymmetric().]
Description [Returns b0 if the variables are not symmetric. Returns b1 if the
variables can be symmetric. The variables are represented in the form of a
two-variable cube. In case the cube contains one variable (below Var1 level),
the cube's pointer is complemented if the variable Var1 occurred on the
current path; otherwise, the cube's pointer is regular. Uses additional
complemented bit (Hash_Not) to mark the result if in the BDD rooted that this
node there is a branch passing though the node labeled with Var2.]
SideEffects []
SeeAlso []
******************************************************************************/
DdNode * extraBddCheckVarsSymmetric(
DdManager * dd, /* the DD manager */
DdNode * bF,
DdNode * bVars)
{
DdNode * bRes;
if ( bF == b0 )
return b1;
assert( bVars != b1 );
if ( (bRes = cuddCacheLookup2(dd, extraBddCheckVarsSymmetric, bF, bVars)) )
return bRes;
else
{
DdNode * bRes0, * bRes1;
DdNode * bF0, * bF1;
DdNode * bFR = Cudd_Regular(bF);
int LevelF = cuddI(dd,bFR->index);
DdNode * bVarsR = Cudd_Regular(bVars);
int fVar1Pres;
int iLev1;
int iLev2;
if ( bVarsR != bVars ) // cube's pointer is complemented
{
assert( cuddT(bVarsR) == b1 );
fVar1Pres = 1; // the first var is present on the path
iLev1 = -1; // we are already below the first var level
iLev2 = dd->perm[bVarsR->index]; // the level of the second var
}
else // cube's pointer is NOT complemented
{
fVar1Pres = 0; // the first var is absent on the path
if ( cuddT(bVars) == b1 )
{
iLev1 = -1; // we are already below the first var level
iLev2 = dd->perm[bVars->index]; // the level of the second var
}
else
{
assert( cuddT(cuddT(bVars)) == b1 );
iLev1 = dd->perm[bVars->index]; // the level of the first var
iLev2 = dd->perm[cuddT(bVars)->index]; // the level of the second var
}
}
// cofactor the function
// the cofactors are needed only if we are above the second level
if ( LevelF < iLev2 )
{
if ( bFR != bF ) // bFunc is complemented
{
bF0 = Cudd_Not( cuddE(bFR) );
bF1 = Cudd_Not( cuddT(bFR) );
}
else
{
bF0 = cuddE(bFR);
bF1 = cuddT(bFR);
}
}
else
bF0 = bF1 = NULL;
// consider five cases:
// (1) F is above iLev1
// (2) F is on the level iLev1
// (3) F is between iLev1 and iLev2
// (4) F is on the level iLev2
// (5) F is below iLev2
// (1) F is above iLev1
if ( LevelF < iLev1 )
{
// the returned result cannot have the hash attribute
// because we still did not reach the level of Var1;
// the attribute never travels above the level of Var1
bRes0 = extraBddCheckVarsSymmetric( dd, bF0, bVars );
// assert( !Hash_IsComplement( bRes0 ) );
assert( bRes0 != z0 );
if ( bRes0 == b0 )
bRes = b0;
else
bRes = extraBddCheckVarsSymmetric( dd, bF1, bVars );
// assert( !Hash_IsComplement( bRes ) );
assert( bRes != z0 );
}
// (2) F is on the level iLev1
else if ( LevelF == iLev1 )
{
bRes0 = extraBddCheckVarsSymmetric( dd, bF0, Cudd_Not( cuddT(bVars) ) );
if ( bRes0 == b0 )
bRes = b0;
else
{
bRes1 = extraBddCheckVarsSymmetric( dd, bF1, Cudd_Not( cuddT(bVars) ) );
if ( bRes1 == b0 )
bRes = b0;
else
{
// if ( Hash_IsComplement( bRes0 ) || Hash_IsComplement( bRes1 ) )
if ( bRes0 == z0 || bRes1 == z0 )
bRes = b1;
else
bRes = b0;
}
}
}
// (3) F is between iLev1 and iLev2
else if ( LevelF < iLev2 )
{
bRes0 = extraBddCheckVarsSymmetric( dd, bF0, bVars );
if ( bRes0 == b0 )
bRes = b0;
else
{
bRes1 = extraBddCheckVarsSymmetric( dd, bF1, bVars );
if ( bRes1 == b0 )
bRes = b0;
else
{
// if ( Hash_IsComplement( bRes0 ) || Hash_IsComplement( bRes1 ) )
// bRes = Hash_Not( b1 );
if ( bRes0 == z0 || bRes1 == z0 )
bRes = z0;
else
bRes = b1;
}
}
}
// (4) F is on the level iLev2
else if ( LevelF == iLev2 )
{
// this is the only place where the hash attribute (Hash_Not) can be added
// to the result; it can be added only if the path came through the node
// lebeled with Var1; therefore, the hash attribute cannot be returned
// to the caller function
if ( fVar1Pres )
// bRes = Hash_Not( b1 );
bRes = z0;
else
bRes = b0;
}
// (5) F is below iLev2
else // if ( LevelF > iLev2 )
{
// it is possible that the path goes through the node labeled by Var1
// and still everything is okay; we do not label with Hash_Not here
// because the path does not go through node labeled by Var2
bRes = b1;
}
cuddCacheInsert2(dd, extraBddCheckVarsSymmetric, bF, bVars, bRes);
return bRes;
}
} /* end of extraBddCheckVarsSymmetric */
/**Function********************************************************************
Synopsis [Performs the recursive step of Cudd_bddIsop.]
Description []
SideEffects [None]
SeeAlso [Cudd_bddIsop]
******************************************************************************/
DdNode *
cuddBddIsop(
DdManager * dd,
DdNode * L,
DdNode * U)
{
DdNode *one = DD_ONE(dd);
DdNode *zero = Cudd_Not(one);
int v, top_l, top_u;
DdNode *Lsub0, *Usub0, *Lsub1, *Usub1, *Ld, *Ud;
DdNode *Lsuper0, *Usuper0, *Lsuper1, *Usuper1;
DdNode *Isub0, *Isub1, *Id;
DdNode *x;
DdNode *term0, *term1, *sum;
DdNode *Lv, *Uv, *Lnv, *Unv;
DdNode *r;
int index;
statLine(dd);
if (L == zero)
return(zero);
if (U == one)
return(one);
/* Check cache */
r = cuddCacheLookup2(dd, cuddBddIsop, L, U);
if (r)
return(r);
top_l = dd->perm[Cudd_Regular(L)->index];
top_u = dd->perm[Cudd_Regular(U)->index];
v = ddMin(top_l, top_u);
/* Compute cofactors */
if (top_l == v) {
index = Cudd_Regular(L)->index;
Lv = Cudd_T(L);
Lnv = Cudd_E(L);
if (Cudd_IsComplement(L)) {
Lv = Cudd_Not(Lv);
Lnv = Cudd_Not(Lnv);
}
}
else {
index = Cudd_Regular(U)->index;
Lv = Lnv = L;
}
if (top_u == v) {
Uv = Cudd_T(U);
Unv = Cudd_E(U);
if (Cudd_IsComplement(U)) {
Uv = Cudd_Not(Uv);
Unv = Cudd_Not(Unv);
}
}
else {
Uv = Unv = U;
}
Lsub0 = cuddBddAndRecur(dd, Lnv, Cudd_Not(Uv));
if (Lsub0 == NULL)
return(NULL);
Cudd_Ref(Lsub0);
Usub0 = Unv;
Lsub1 = cuddBddAndRecur(dd, Lv, Cudd_Not(Unv));
if (Lsub1 == NULL) {
Cudd_RecursiveDeref(dd, Lsub0);
return(NULL);
}
Cudd_Ref(Lsub1);
Usub1 = Uv;
Isub0 = cuddBddIsop(dd, Lsub0, Usub0);
if (Isub0 == NULL) {
Cudd_RecursiveDeref(dd, Lsub0);
Cudd_RecursiveDeref(dd, Lsub1);
return(NULL);
}
Cudd_Ref(Isub0);
Isub1 = cuddBddIsop(dd, Lsub1, Usub1);
if (Isub1 == NULL) {
Cudd_RecursiveDeref(dd, Lsub0);
Cudd_RecursiveDeref(dd, Lsub1);
Cudd_RecursiveDeref(dd, Isub0);
return(NULL);
}
Cudd_Ref(Isub1);
Cudd_RecursiveDeref(dd, Lsub0);
Cudd_RecursiveDeref(dd, Lsub1);
Lsuper0 = cuddBddAndRecur(dd, Lnv, Cudd_Not(Isub0));
if (Lsuper0 == NULL) {
Cudd_RecursiveDeref(dd, Isub0);
Cudd_RecursiveDeref(dd, Isub1);
return(NULL);
}
Cudd_Ref(Lsuper0);
Lsuper1 = cuddBddAndRecur(dd, Lv, Cudd_Not(Isub1));
if (Lsuper1 == NULL) {
Cudd_RecursiveDeref(dd, Isub0);
Cudd_RecursiveDeref(dd, Isub1);
Cudd_RecursiveDeref(dd, Lsuper0);
return(NULL);
}
Cudd_Ref(Lsuper1);
Usuper0 = Unv;
Usuper1 = Uv;
/* Ld = Lsuper0 + Lsuper1 */
Ld = cuddBddAndRecur(dd, Cudd_Not(Lsuper0), Cudd_Not(Lsuper1));
Ld = Cudd_NotCond(Ld, Ld != NULL);
if (Ld == NULL) {
Cudd_RecursiveDeref(dd, Isub0);
Cudd_RecursiveDeref(dd, Isub1);
Cudd_RecursiveDeref(dd, Lsuper0);
Cudd_RecursiveDeref(dd, Lsuper1);
return(NULL);
}
Cudd_Ref(Ld);
Ud = cuddBddAndRecur(dd, Usuper0, Usuper1);
if (Ud == NULL) {
Cudd_RecursiveDeref(dd, Isub0);
Cudd_RecursiveDeref(dd, Isub1);
Cudd_RecursiveDeref(dd, Lsuper0);
Cudd_RecursiveDeref(dd, Lsuper1);
Cudd_RecursiveDeref(dd, Ld);
return(NULL);
}
Cudd_Ref(Ud);
Cudd_RecursiveDeref(dd, Lsuper0);
Cudd_RecursiveDeref(dd, Lsuper1);
Id = cuddBddIsop(dd, Ld, Ud);
if (Id == NULL) {
Cudd_RecursiveDeref(dd, Isub0);
Cudd_RecursiveDeref(dd, Isub1);
Cudd_RecursiveDeref(dd, Ld);
Cudd_RecursiveDeref(dd, Ud);
return(NULL);
}
Cudd_Ref(Id);
Cudd_RecursiveDeref(dd, Ld);
Cudd_RecursiveDeref(dd, Ud);
x = cuddUniqueInter(dd, index, one, zero);
if (x == NULL) {
Cudd_RecursiveDeref(dd, Isub0);
Cudd_RecursiveDeref(dd, Isub1);
Cudd_RecursiveDeref(dd, Id);
return(NULL);
}
Cudd_Ref(x);
term0 = cuddBddAndRecur(dd, Cudd_Not(x), Isub0);
if (term0 == NULL) {
Cudd_RecursiveDeref(dd, Isub0);
Cudd_RecursiveDeref(dd, Isub1);
Cudd_RecursiveDeref(dd, Id);
Cudd_RecursiveDeref(dd, x);
return(NULL);
}
Cudd_Ref(term0);
Cudd_RecursiveDeref(dd, Isub0);
term1 = cuddBddAndRecur(dd, x, Isub1);
if (term1 == NULL) {
Cudd_RecursiveDeref(dd, Isub1);
Cudd_RecursiveDeref(dd, Id);
Cudd_RecursiveDeref(dd, x);
Cudd_RecursiveDeref(dd, term0);
return(NULL);
}
Cudd_Ref(term1);
Cudd_RecursiveDeref(dd, x);
Cudd_RecursiveDeref(dd, Isub1);
/* sum = term0 + term1 */
sum = cuddBddAndRecur(dd, Cudd_Not(term0), Cudd_Not(term1));
sum = Cudd_NotCond(sum, sum != NULL);
if (sum == NULL) {
Cudd_RecursiveDeref(dd, Id);
Cudd_RecursiveDeref(dd, term0);
Cudd_RecursiveDeref(dd, term1);
return(NULL);
}
Cudd_Ref(sum);
Cudd_RecursiveDeref(dd, term0);
Cudd_RecursiveDeref(dd, term1);
/* r = sum + Id */
r = cuddBddAndRecur(dd, Cudd_Not(sum), Cudd_Not(Id));
r = Cudd_NotCond(r, r != NULL);
if (r == NULL) {
Cudd_RecursiveDeref(dd, Id);
Cudd_RecursiveDeref(dd, sum);
return(NULL);
}
Cudd_Ref(r);
Cudd_RecursiveDeref(dd, sum);
Cudd_RecursiveDeref(dd, Id);
cuddCacheInsert2(dd, cuddBddIsop, L, U, r);
Cudd_Deref(r);
return(r);
} /* end of cuddBddIsop */
/**Function********************************************************************
Synopsis [Performs a recursive step of Extra_zddGetSymmetricVars.]
Description [Returns the set of ZDD singletons, containing those positive
ZDD variables that correspond to BDD variables x, for which it is true
that bF(x=0) == bG(x=1).]
SideEffects []
SeeAlso []
******************************************************************************/
DdNode * extraZddGetSymmetricVars(
DdManager * dd, /* the DD manager */
DdNode * bF, /* the first function - originally, the positive cofactor */
DdNode * bG, /* the second function - originally, the negative cofactor */
DdNode * bVars) /* the set of variables, on which F and G depend */
{
DdNode * zRes;
DdNode * bFR = Cudd_Regular(bF);
DdNode * bGR = Cudd_Regular(bG);
if ( cuddIsConstant(bFR) && cuddIsConstant(bGR) )
{
if ( bF == bG )
return extraZddGetSingletons( dd, bVars );
else
return z0;
}
assert( bVars != b1 );
if ( (zRes = cuddCacheLookupZdd(dd, DD_GET_SYMM_VARS_TAG, bF, bG, bVars)) )
return zRes;
else
{
DdNode * zRes0, * zRes1;
DdNode * zPlus, * zTemp;
DdNode * bF0, * bF1;
DdNode * bG0, * bG1;
DdNode * bVarsNew;
int LevelF = cuddI(dd,bFR->index);
int LevelG = cuddI(dd,bGR->index);
int LevelFG;
if ( LevelF < LevelG )
LevelFG = LevelF;
else
LevelFG = LevelG;
// at least one of the arguments is not a constant
assert( LevelFG < dd->size );
// every variable in bF and bG should be also in bVars, therefore LevelFG cannot be above LevelV
// if LevelFG is below LevelV, scroll through the vars in bVars to the same level as LevelFG
for ( bVarsNew = bVars; LevelFG > dd->perm[bVarsNew->index]; bVarsNew = cuddT(bVarsNew) );
assert( LevelFG == dd->perm[bVarsNew->index] );
// cofactor the functions
if ( LevelF == LevelFG )
{
if ( bFR != bF ) // bF is complemented
{
bF0 = Cudd_Not( cuddE(bFR) );
bF1 = Cudd_Not( cuddT(bFR) );
}
else
{
bF0 = cuddE(bFR);
bF1 = cuddT(bFR);
}
}
else
bF0 = bF1 = bF;
if ( LevelG == LevelFG )
{
if ( bGR != bG ) // bG is complemented
{
bG0 = Cudd_Not( cuddE(bGR) );
bG1 = Cudd_Not( cuddT(bGR) );
}
else
{
bG0 = cuddE(bGR);
bG1 = cuddT(bGR);
}
}
else
bG0 = bG1 = bG;
// solve subproblems
zRes0 = extraZddGetSymmetricVars( dd, bF0, bG0, cuddT(bVarsNew) );
if ( zRes0 == NULL )
return NULL;
cuddRef( zRes0 );
// if there is not symmetries in the negative cofactor
// there is no need to test the positive cofactor
if ( zRes0 == z0 )
zRes = zRes0; // zRes takes reference
else
{
zRes1 = extraZddGetSymmetricVars( dd, bF1, bG1, cuddT(bVarsNew) );
if ( zRes1 == NULL )
{
Cudd_RecursiveDerefZdd( dd, zRes0 );
return NULL;
}
cuddRef( zRes1 );
// only those variables should belong to the resulting set
// for which the property is true for both cofactors
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 );
}
// add one more singleton if the property is true for this variable
if ( bF0 == bG1 )
{
zPlus = cuddZddGetNode( dd, 2*bVarsNew->index, z1, z0 );
if ( zPlus == NULL )
{
Cudd_RecursiveDerefZdd( dd, zRes );
return NULL;
}
cuddRef( zPlus );
// 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 );
}
if ( bF == bG && bVars != bVarsNew )
{
// if the functions are equal, so are their cofactors
// add those variables from V that are above F and G
DdNode * bVarsExtra;
assert( LevelFG > dd->perm[bVars->index] );
// create the BDD of the extra variables
bVarsExtra = cuddBddExistAbstractRecur( dd, bVars, bVarsNew );
if ( bVarsExtra == NULL )
{
Cudd_RecursiveDerefZdd( dd, zRes );
return NULL;
}
cuddRef( bVarsExtra );
zPlus = extraZddGetSingletons( dd, 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 );
cuddCacheInsert( dd, DD_GET_SYMM_VARS_TAG, bF, bG, bVars, zRes );
return zRes;
}
} /* end of extraZddGetSymmetricVars */
/**Function********************************************************************
Synopsis [Converts a ZDD cover to a BDD graph.]
Description [Converts a ZDD cover to a BDD graph. If successful, it
returns a BDD node, otherwise it returns NULL. It is a recursive
algorithm as the following. First computes 3 cofactors of a ZDD cover;
f1, f0 and fd. Second, compute BDDs(b1, b0 and bd) of f1, f0 and fd.
Third, compute T=b1+bd and E=b0+bd. Fourth, compute ITE(v,T,E) where v
is the variable which has the index of the top node of the ZDD cover.
In this case, since the index of v can be larger than either one of T or
one of E, cuddUniqueInterIVO is called, here IVO stands for
independent variable ordering.]
SideEffects []
SeeAlso [Cudd_MakeBddFromZddCover]
******************************************************************************/
DdNode *
cuddMakeBddFromZddCover(
DdManager * dd,
DdNode * node)
{
DdNode *neW;
int v;
DdNode *f1, *f0, *fd;
DdNode *b1, *b0, *bd;
DdNode *T, *E;
statLine(dd);
if (node == dd->one)
return(dd->one);
if (node == dd->zero)
return(Cudd_Not(dd->one));
/* Check cache */
neW = cuddCacheLookup1(dd, cuddMakeBddFromZddCover, node);
if (neW)
return(neW);
v = Cudd_Regular(node)->index; /* either yi or zi */
cuddZddGetCofactors3(dd, node, v, &f1, &f0, &fd);
Cudd_Ref(f1);
Cudd_Ref(f0);
Cudd_Ref(fd);
b1 = cuddMakeBddFromZddCover(dd, f1);
if (!b1) {
Cudd_RecursiveDerefZdd(dd, f1);
Cudd_RecursiveDerefZdd(dd, f0);
Cudd_RecursiveDerefZdd(dd, fd);
return(NULL);
}
Cudd_Ref(b1);
b0 = cuddMakeBddFromZddCover(dd, f0);
if (!b1) {
Cudd_RecursiveDerefZdd(dd, f1);
Cudd_RecursiveDerefZdd(dd, f0);
Cudd_RecursiveDerefZdd(dd, fd);
Cudd_RecursiveDeref(dd, b1);
return(NULL);
}
Cudd_Ref(b0);
Cudd_RecursiveDerefZdd(dd, f1);
Cudd_RecursiveDerefZdd(dd, f0);
if (fd != dd->zero) {
bd = cuddMakeBddFromZddCover(dd, fd);
if (!bd) {
Cudd_RecursiveDerefZdd(dd, fd);
Cudd_RecursiveDeref(dd, b1);
Cudd_RecursiveDeref(dd, b0);
return(NULL);
}
Cudd_Ref(bd);
Cudd_RecursiveDerefZdd(dd, fd);
T = cuddBddAndRecur(dd, Cudd_Not(b1), Cudd_Not(bd));
if (!T) {
Cudd_RecursiveDeref(dd, b1);
Cudd_RecursiveDeref(dd, b0);
Cudd_RecursiveDeref(dd, bd);
return(NULL);
}
T = Cudd_NotCond(T, T != NULL);
Cudd_Ref(T);
Cudd_RecursiveDeref(dd, b1);
E = cuddBddAndRecur(dd, Cudd_Not(b0), Cudd_Not(bd));
if (!E) {
Cudd_RecursiveDeref(dd, b0);
Cudd_RecursiveDeref(dd, bd);
Cudd_RecursiveDeref(dd, T);
return(NULL);
}
E = Cudd_NotCond(E, E != NULL);
Cudd_Ref(E);
Cudd_RecursiveDeref(dd, b0);
Cudd_RecursiveDeref(dd, bd);
}
else {
Cudd_RecursiveDerefZdd(dd, fd);
T = b1;
E = b0;
}
if (Cudd_IsComplement(T)) {
neW = cuddUniqueInterIVO(dd, v / 2, Cudd_Not(T), Cudd_Not(E));
if (!neW) {
Cudd_RecursiveDeref(dd, T);
Cudd_RecursiveDeref(dd, E);
return(NULL);
}
neW = Cudd_Not(neW);
}
else {
neW = cuddUniqueInterIVO(dd, v / 2, T, E);
if (!neW) {
Cudd_RecursiveDeref(dd, T);
Cudd_RecursiveDeref(dd, E);
return(NULL);
}
}
Cudd_Ref(neW);
Cudd_RecursiveDeref(dd, T);
Cudd_RecursiveDeref(dd, E);
cuddCacheInsert1(dd, cuddMakeBddFromZddCover, node, neW);
Cudd_Deref(neW);
return(neW);
} /* end of cuddMakeBddFromZddCover */
// Returns the variable v. if b is 0 it will be negated
DdNode* getVar(DdManager *manager, int v, int b) {
return b ?
Cudd_bddIthVar(manager,v) :
Cudd_Not(Cudd_bddIthVar(manager,v));
}
/**Function********************************************************************
Synopsis [Main function for testcudd.]
Description []
SideEffects [None]
SeeAlso []
******************************************************************************/
int
main(int argc, char **argv)
{
FILE *fp; /* pointer to input file */
char *file = (char *) ""; /* input file name */
FILE *dfp = NULL; /* pointer to dump file */
char *dfile; /* file for DD dump */
DdNode *dfunc[2]; /* addresses of the functions to be dumped */
DdManager *dd; /* pointer to DD manager */
DdNode *_true; /* fast access to constant function */
DdNode *M;
DdNode **x; /* pointers to variables */
DdNode **y; /* pointers to variables */
DdNode **xn; /* complements of row variables */
DdNode **yn_; /* complements of column variables */
DdNode **xvars;
DdNode **yvars;
DdNode *C; /* result of converting from ADD to BDD */
DdNode *ess; /* cube of essential variables */
DdNode *shortP; /* BDD cube of shortest path */
DdNode *largest; /* BDD of largest cube */
DdNode *shortA; /* ADD cube of shortest path */
DdNode *constN; /* value returned by evaluation of ADD */
DdNode *ycube; /* cube of the negated y vars for c-proj */
DdNode *CP; /* C-Projection of C */
DdNode *CPr; /* C-Selection of C */
int length; /* length of the shortest path */
int nx; /* number of variables */
int ny;
int maxnx;
int maxny;
int m;
int n;
int N;
int cmu; /* use CMU multiplication */
int pr; /* verbose printout level */
int harwell;
int multiple; /* read multiple matrices */
int ok;
int c; /* variable to read in options */
int approach; /* reordering approach */
int autodyn; /* automatic reordering */
int groupcheck; /* option for group sifting */
int profile; /* print heap profile if != 0 */
int keepperm; /* keep track of permutation */
int clearcache; /* clear the cache after each matrix */
int blifOrDot; /* dump format: 0 -> dot, 1 -> blif, ... */
int retval; /* return value */
int i; /* loop index */
long startTime; /* initial time */
long lapTime;
int size;
unsigned int cacheSize, maxMemory;
unsigned int nvars,nslots;
startTime = util_cpu_time();
approach = CUDD_REORDER_NONE;
autodyn = 0;
pr = 0;
harwell = 0;
multiple = 0;
profile = 0;
keepperm = 0;
cmu = 0;
N = 4;
nvars = 4;
cacheSize = 127;
maxMemory = 0;
nslots = CUDD_UNIQUE_SLOTS;
clearcache = 0;
groupcheck = CUDD_GROUP_CHECK7;
dfile = NULL;
blifOrDot = 0; /* dot format */
/* Parse command line. */
while ((c = util_getopt(argc, argv, (char *) "CDHMPS:a:bcd:g:hkmn:p:v:x:X:"))
!= EOF) {
switch(c) {
case 'C':
cmu = 1;
break;
case 'D':
autodyn = 1;
break;
case 'H':
harwell = 1;
break;
case 'M':
#ifdef MNEMOSYNE
(void) mnem_setrecording(0);
#endif
break;
case 'P':
profile = 1;
break;
case 'S':
nslots = atoi(util_optarg);
break;
case 'X':
maxMemory = atoi(util_optarg);
break;
case 'a':
approach = atoi(util_optarg);
break;
case 'b':
blifOrDot = 1; /* blif format */
break;
case 'c':
clearcache = 1;
break;
case 'd':
dfile = util_optarg;
break;
case 'g':
groupcheck = atoi(util_optarg);
break;
case 'k':
keepperm = 1;
break;
case 'm':
multiple = 1;
break;
case 'n':
N = atoi(util_optarg);
break;
case 'p':
pr = atoi(util_optarg);
break;
case 'v':
nvars = atoi(util_optarg);
break;
case 'x':
cacheSize = atoi(util_optarg);
break;
case 'h':
default:
usage(argv[0]);
break;
}
}
if (argc - util_optind == 0) {
file = (char *) "-";
} else if (argc - util_optind == 1) {
file = argv[util_optind];
} else {
usage(argv[0]);
}
if ((approach<0) || (approach>17)) {
(void) fprintf(stderr,"Invalid approach: %d \n",approach);
usage(argv[0]);
}
if (pr >= 0) {
(void) printf("# %s\n", TESTCUDD_VERSION);
/* Echo command line and arguments. */
(void) printf("#");
for (i = 0; i < argc; i++) {
(void) printf(" %s", argv[i]);
}
(void) printf("\n");
(void) fflush(stdout);
}
/* Initialize manager and provide easy reference to terminals. */
dd = Cudd_Init(nvars,0,nslots,cacheSize,maxMemory);
_true = DD_TRUE(dd);
dd->groupcheck = (Cudd_AggregationType) groupcheck;
if (autodyn) Cudd_AutodynEnable(dd,CUDD_REORDER_SAME);
/* Open input file. */
fp = open_file(file, "r");
/* Open dump file if requested */
if (dfile != NULL) {
dfp = open_file(dfile, "w");
}
x = y = xn = yn_ = NULL;
do {
/* We want to start anew for every matrix. */
maxnx = maxny = 0;
nx = maxnx; ny = maxny;
if (pr>0) lapTime = util_cpu_time();
if (harwell) {
if (pr >= 0) (void) printf(":name: ");
ok = Cudd_addHarwell(fp, dd, &M, &x, &y, &xn, &yn_, &nx, &ny,
&m, &n, 0, 2, 1, 2, pr);
} else {
ok = Cudd_addRead(fp, dd, &M, &x, &y, &xn, &yn_, &nx, &ny,
&m, &n, 0, 2, 1, 2);
if (pr >= 0)
(void) printf(":name: %s: %d rows %d columns\n", file, m, n);
}
if (!ok) {
(void) fprintf(stderr, "Error reading matrix\n");
exit(1);
}
if (nx > maxnx) maxnx = nx;
if (ny > maxny) maxny = ny;
/* Build cube of negated y's. */
ycube = DD_TRUE(dd);
Cudd_Ref(ycube);
for (i = maxny - 1; i >= 0; i--) {
DdNode *tmpp;
tmpp = Cudd_bddAnd(dd,Cudd_Not(dd->vars[y[i]->index]),ycube);
if (tmpp == NULL) exit(2);
Cudd_Ref(tmpp);
Cudd_RecursiveDeref(dd,ycube);
ycube = tmpp;
}
/* Initialize vectors of BDD variables used by priority func. */
xvars = ALLOC(DdNode *, nx);
if (xvars == NULL) exit(2);
for (i = 0; i < nx; i++) {
xvars[i] = dd->vars[x[i]->index];
}
yvars = ALLOC(DdNode *, ny);
if (yvars == NULL) exit(2);
for (i = 0; i < ny; i++) {
yvars[i] = dd->vars[y[i]->index];
}
/* Clean up */
for (i=0; i < maxnx; i++) {
Cudd_RecursiveDeref(dd, x[i]);
Cudd_RecursiveDeref(dd, xn[i]);
}
FREE(x);
FREE(xn);
for (i=0; i < maxny; i++) {
Cudd_RecursiveDeref(dd, y[i]);
Cudd_RecursiveDeref(dd, yn_[i]);
}
FREE(y);
FREE(yn_);
if (pr>0) {(void) printf(":1: M"); Cudd_PrintDebug(dd,M,nx+ny,pr);}
if (pr>0) (void) printf(":2: time to read the matrix = %s\n",
util_print_time(util_cpu_time() - lapTime));
C = Cudd_addBddPattern(dd, M);
if (C == 0) exit(2);
Cudd_Ref(C);
if (pr>0) {(void) printf(":3: C"); Cudd_PrintDebug(dd,C,nx+ny,pr);}
/* Test iterators. */
retval = testIterators(dd,M,C,pr);
if (retval == 0) exit(2);
cuddCacheProfile(dd,stdout);
/* Test XOR */
retval = testXor(dd,C,pr,nx+ny);
if (retval == 0) exit(2);
/* Test Hamming distance functions. */
retval = testHamming(dd,C,pr);
if (retval == 0) exit(2);
/* Test selection functions. */
CP = Cudd_CProjection(dd,C,ycube);
if (CP == NULL) exit(2);
Cudd_Ref(CP);
if (pr>0) {(void) printf("ycube"); Cudd_PrintDebug(dd,ycube,nx+ny,pr);}
if (pr>0) {(void) printf("CP"); Cudd_PrintDebug(dd,CP,nx+ny,pr);}
if (nx == ny) {
CPr = Cudd_PrioritySelect(dd,C,xvars,yvars,(DdNode **)NULL,
(DdNode *)NULL,ny,Cudd_Xgty);
if (CPr == NULL) exit(2);
Cudd_Ref(CPr);
if (pr>0) {(void) printf(":4: CPr"); Cudd_PrintDebug(dd,CPr,nx+ny,pr);}
if (CP != CPr) {
(void) printf("CP != CPr!\n");
}
Cudd_RecursiveDeref(dd, CPr);
}
FREE(xvars); FREE(yvars);
Cudd_RecursiveDeref(dd, CP);
Cudd_RecursiveDeref(dd, ycube);
/* Test functions for essential variables. */
ess = Cudd_FindEssential(dd,C);
if (ess == NULL) exit(2);
Cudd_Ref(ess);
if (pr>0) {(void) printf(":4: ess"); Cudd_PrintDebug(dd,ess,nx+ny,pr);}
Cudd_RecursiveDeref(dd, ess);
/* Test functions for shortest paths. */
shortP = Cudd_ShortestPath(dd, M, NULL, NULL, &length);
if (shortP == NULL) exit(2);
Cudd_Ref(shortP);
if (pr>0) {
(void) printf(":5: shortP"); Cudd_PrintDebug(dd,shortP,nx+ny,pr);
}
/* Test functions for largest cubes. */
largest = Cudd_LargestCube(dd, Cudd_Not(C), &length);
if (largest == NULL) exit(2);
Cudd_Ref(largest);
if (pr>0) {
(void) printf(":5b: largest");
Cudd_PrintDebug(dd,largest,nx+ny,pr);
}
Cudd_RecursiveDeref(dd, largest);
/* Test Cudd_addEvalConst and Cudd_addIteConstant. */
shortA = Cudd_BddToAdd(dd,shortP);
if (shortA == NULL) exit(2);
Cudd_Ref(shortA);
Cudd_RecursiveDeref(dd, shortP);
constN = Cudd_addEvalConst(dd,shortA,M);
if (constN == DD_NON_CONSTANT) exit(2);
if (Cudd_addIteConstant(dd,shortA,M,constN) != constN) exit(2);
if (pr>0) {(void) printf("The value of M along the chosen shortest path is %g\n", cuddV(constN));}
Cudd_RecursiveDeref(dd, shortA);
shortP = Cudd_ShortestPath(dd, C, NULL, NULL, &length);
if (shortP == NULL) exit(2);
Cudd_Ref(shortP);
if (pr>0) {
(void) printf(":6: shortP"); Cudd_PrintDebug(dd,shortP,nx+ny,pr);
}
/* Test Cudd_bddIteConstant and Cudd_bddLeq. */
if (!Cudd_bddLeq(dd,shortP,C)) exit(2);
if (Cudd_bddIteConstant(dd,Cudd_Not(shortP),_true,C) != _true) exit(2);
Cudd_RecursiveDeref(dd, shortP);
if (profile) {
retval = cuddHeapProfile(dd);
}
size = dd->size;
if (pr>0) {
(void) printf("Average distance: %g\n", Cudd_AverageDistance(dd));
}
/* Reorder if so requested. */
if (approach != CUDD_REORDER_NONE) {
#ifndef DD_STATS
retval = Cudd_EnableReorderingReporting(dd);
if (retval == 0) {
(void) fprintf(stderr,"Error reported by Cudd_EnableReorderingReporting\n");
exit(3);
}
#endif
#ifdef DD_DEBUG
retval = Cudd_DebugCheck(dd);
if (retval != 0) {
(void) fprintf(stderr,"Error reported by Cudd_DebugCheck\n");
exit(3);
}
retval = Cudd_CheckKeys(dd);
if (retval != 0) {
(void) fprintf(stderr,"Error reported by Cudd_CheckKeys\n");
exit(3);
}
#endif
retval = Cudd_ReduceHeap(dd,(Cudd_ReorderingType)approach,5);
if (retval == 0) {
(void) fprintf(stderr,"Error reported by Cudd_ReduceHeap\n");
exit(3);
}
#ifndef DD_STATS
retval = Cudd_DisableReorderingReporting(dd);
if (retval == 0) {
(void) fprintf(stderr,"Error reported by Cudd_DisableReorderingReporting\n");
exit(3);
}
#endif
#ifdef DD_DEBUG
retval = Cudd_DebugCheck(dd);
if (retval != 0) {
(void) fprintf(stderr,"Error reported by Cudd_DebugCheck\n");
exit(3);
}
retval = Cudd_CheckKeys(dd);
if (retval != 0) {
(void) fprintf(stderr,"Error reported by Cudd_CheckKeys\n");
exit(3);
}
#endif
if (approach == CUDD_REORDER_SYMM_SIFT ||
approach == CUDD_REORDER_SYMM_SIFT_CONV) {
Cudd_SymmProfile(dd,0,dd->size-1);
}
if (pr>0) {
(void) printf("Average distance: %g\n", Cudd_AverageDistance(dd));
}
if (keepperm) {
/* Print variable permutation. */
(void) printf("Variable Permutation:");
for (i=0; i<size; i++) {
if (i%20 == 0) (void) printf("\n");
(void) printf("%d ", dd->invperm[i]);
}
(void) printf("\n");
(void) printf("Inverse Permutation:");
for (i=0; i<size; i++) {
if (i%20 == 0) (void) printf("\n");
(void) printf("%d ", dd->perm[i]);
}
(void) printf("\n");
}
if (pr>0) {(void) printf("M"); Cudd_PrintDebug(dd,M,nx+ny,pr);}
if (profile) {
retval = cuddHeapProfile(dd);
}
}
/* Dump DDs of C and M if so requested. */
if (dfile != NULL) {
dfunc[0] = C;
dfunc[1] = M;
if (blifOrDot == 1) {
/* Only dump C because blif cannot handle ADDs */
retval = Cudd_DumpBlif(dd,1,dfunc,NULL,(char **)onames,
NULL,dfp);
} else {
retval = Cudd_DumpDot(dd,2,dfunc,NULL,(char **)onames,dfp);
}
if (retval != 1) {
(void) fprintf(stderr,"abnormal termination\n");
exit(2);
}
}
Cudd_RecursiveDeref(dd, C);
Cudd_RecursiveDeref(dd, M);
if (clearcache) {
if (pr>0) {(void) printf("Clearing the cache... ");}
for (i = dd->cacheSlots - 1; i>=0; i--) {
dd->cache[i].data = NIL(DdNode);
}
if (pr>0) {(void) printf("done\n");}
}
if (pr>0) {
(void) printf("Number of variables = %6d\t",dd->size);
(void) printf("Number of slots = %6d\n",dd->slots);
(void) printf("Number of keys = %6d\t",dd->keys);
(void) printf("Number of min dead = %6d\n",dd->minDead);
}
} while (multiple && !feof(fp));
fclose(fp);
if (dfile != NULL) {
fclose(dfp);
}
/* Second phase: experiment with Walsh matrices. */
if (!testWalsh(dd,N,cmu,approach,pr)) {
exit(2);
}
/* Check variable destruction. */
assert(cuddDestroySubtables(dd,3));
assert(Cudd_DebugCheck(dd) == 0);
assert(Cudd_CheckKeys(dd) == 0);
retval = Cudd_CheckZeroRef(dd);
ok = retval != 0; /* ok == 0 means O.K. */
if (retval != 0) {
(void) fprintf(stderr,
"%d non-zero DD reference counts after dereferencing\n", retval);
}
if (pr >= 0) {
(void) Cudd_PrintInfo(dd,stdout);
}
Cudd_Quit(dd);
#ifdef MNEMOSYNE
mnem_writestats();
#endif
if (pr>0) (void) printf("total time = %s\n",
util_print_time(util_cpu_time() - startTime));
if (pr >= 0) util_print_cpu_stats(stdout);
exit(ok);
/* NOTREACHED */
} /* end of main */