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+/**CFile***********************************************************************
+
+ FileName [cuddZddLin.c]
+
+ PackageName [cudd]
+
+ Synopsis [Procedures for dynamic variable ordering of ZDDs.]
+
+ Description [Internal procedures included in this module:
+ <ul>
+ <li> cuddZddLinearSifting()
+ </ul>
+ Static procedures included in this module:
+ <ul>
+ <li> cuddZddLinearInPlace()
+ <li> cuddZddLinerAux()
+ <li> cuddZddLinearUp()
+ <li> cuddZddLinearDown()
+ <li> cuddZddLinearBackward()
+ <li> cuddZddUndoMoves()
+ </ul>
+ ]
+
+ SeeAlso [cuddLinear.c cuddZddReord.c]
+
+ Author [Fabio Somenzi]
+
+ Copyright [ This file was created at the University of Colorado at
+ Boulder. The University of Colorado at Boulder makes no warranty
+ about the suitability of this software for any purpose. It is
+ presented on an AS IS basis.]
+
+******************************************************************************/
+
+#include "util_hack.h"
+#include "cuddInt.h"
+
+/*---------------------------------------------------------------------------*/
+/* Constant declarations */
+/*---------------------------------------------------------------------------*/
+
+#define CUDD_SWAP_MOVE 0
+#define CUDD_LINEAR_TRANSFORM_MOVE 1
+#define CUDD_INVERSE_TRANSFORM_MOVE 2
+
+/*---------------------------------------------------------------------------*/
+/* Stucture declarations */
+/*---------------------------------------------------------------------------*/
+
+
+/*---------------------------------------------------------------------------*/
+/* Type declarations */
+/*---------------------------------------------------------------------------*/
+
+
+/*---------------------------------------------------------------------------*/
+/* Variable declarations */
+/*---------------------------------------------------------------------------*/
+
+#ifndef lint
+static char rcsid[] DD_UNUSED = "$Id: cuddZddLin.c,v 1.1.1.1 2003/02/24 22:23:54 wjiang Exp $";
+#endif
+
+extern int *zdd_entry;
+extern int zddTotalNumberSwapping;
+static int zddTotalNumberLinearTr;
+static DdNode *empty;
+
+
+/*---------------------------------------------------------------------------*/
+/* Macro declarations */
+/*---------------------------------------------------------------------------*/
+
+
+/**AutomaticStart*************************************************************/
+
+/*---------------------------------------------------------------------------*/
+/* Static function prototypes */
+/*---------------------------------------------------------------------------*/
+
+static int cuddZddLinearAux ARGS((DdManager *table, int x, int xLow, int xHigh));
+static Move * cuddZddLinearUp ARGS((DdManager *table, int y, int xLow, Move *prevMoves));
+static Move * cuddZddLinearDown ARGS((DdManager *table, int x, int xHigh, Move *prevMoves));
+static int cuddZddLinearBackward ARGS((DdManager *table, int size, Move *moves));
+static Move* cuddZddUndoMoves ARGS((DdManager *table, Move *moves));
+
+/**AutomaticEnd***************************************************************/
+
+
+/*---------------------------------------------------------------------------*/
+/* Definition of exported functions */
+/*---------------------------------------------------------------------------*/
+
+
+/*---------------------------------------------------------------------------*/
+/* Definition of internal functions */
+/*---------------------------------------------------------------------------*/
+
+
+
+
+/**Function********************************************************************
+
+ Synopsis [Implementation of the linear sifting algorithm for ZDDs.]
+
+ Description [Implementation of the linear sifting algorithm for ZDDs.
+ Assumes that no dead nodes are present.
+ <ol>
+ <li> Order all the variables according to the number of entries
+ in each unique table.
+ <li> Sift the variable up and down and applies the XOR transformation,
+ remembering each time the total size of the DD heap.
+ <li> Select the best permutation.
+ <li> Repeat 3 and 4 for all variables.
+ </ol>
+ Returns 1 if successful; 0 otherwise.]
+
+ SideEffects [None]
+
+ SeeAlso []
+
+******************************************************************************/
+int
+cuddZddLinearSifting(
+ DdManager * table,
+ int lower,
+ int upper)
+{
+ int i;
+ int *var;
+ int size;
+ int x;
+ int result;
+#ifdef DD_STATS
+ int previousSize;
+#endif
+
+ size = table->sizeZ;
+ empty = table->zero;
+
+ /* Find order in which to sift variables. */
+ var = NULL;
+ zdd_entry = ALLOC(int, size);
+ if (zdd_entry == NULL) {
+ table->errorCode = CUDD_MEMORY_OUT;
+ goto cuddZddSiftingOutOfMem;
+ }
+ var = ALLOC(int, size);
+ if (var == NULL) {
+ table->errorCode = CUDD_MEMORY_OUT;
+ goto cuddZddSiftingOutOfMem;
+ }
+
+ for (i = 0; i < size; i++) {
+ x = table->permZ[i];
+ zdd_entry[i] = table->subtableZ[x].keys;
+ var[i] = i;
+ }
+
+ qsort((void *)var, size, sizeof(int), (int (*)(const void *, const void *))cuddZddUniqueCompare);
+
+ /* Now sift. */
+ for (i = 0; i < ddMin(table->siftMaxVar, size); i++) {
+ if (zddTotalNumberSwapping >= table->siftMaxSwap)
+ break;
+ x = table->permZ[var[i]];
+ if (x < lower || x > upper) continue;
+#ifdef DD_STATS
+ previousSize = table->keysZ;
+#endif
+ result = cuddZddLinearAux(table, x, lower, upper);
+ if (!result)
+ goto cuddZddSiftingOutOfMem;
+#ifdef DD_STATS
+ if (table->keysZ < (unsigned) previousSize) {
+ (void) fprintf(table->out,"-");
+ } else if (table->keysZ > (unsigned) previousSize) {
+ (void) fprintf(table->out,"+"); /* should never happen */
+ (void) fprintf(table->out,"\nSize increased from %d to %d while sifting variable %d\n", previousSize, table->keysZ , var[i]);
+ } else {
+ (void) fprintf(table->out,"=");
+ }
+ fflush(table->out);
+#endif
+ }
+
+ FREE(var);
+ FREE(zdd_entry);
+
+ return(1);
+
+cuddZddSiftingOutOfMem:
+
+ if (zdd_entry != NULL) FREE(zdd_entry);
+ if (var != NULL) FREE(var);
+
+ return(0);
+
+} /* end of cuddZddLinearSifting */
+
+
+/*---------------------------------------------------------------------------*/
+/* Definition of static functions */
+/*---------------------------------------------------------------------------*/
+
+
+/**Function********************************************************************
+
+ Synopsis [Linearly combines two adjacent variables.]
+
+ Description [Linearly combines two adjacent variables. It assumes
+ that no dead nodes are present on entry to this procedure. The
+ procedure then guarantees that no dead nodes will be present when it
+ terminates. cuddZddLinearInPlace assumes that x &lt; y. Returns the
+ number of keys in the table if successful; 0 otherwise.]
+
+ SideEffects [None]
+
+ SeeAlso [cuddZddSwapInPlace cuddLinearInPlace]
+
+******************************************************************************/
+int
+cuddZddLinearInPlace(
+ DdManager * table,
+ int x,
+ int y)
+{
+ DdNodePtr *xlist, *ylist;
+ int xindex, yindex;
+ int xslots, yslots;
+ int xshift, yshift;
+ int oldxkeys, oldykeys;
+ int newxkeys, newykeys;
+ int i;
+ int posn;
+ DdNode *f, *f1, *f0, *f11, *f10, *f01, *f00;
+ DdNode *newf1, *newf0, *g, *next, *previous;
+ DdNode *special;
+
+#ifdef DD_DEBUG
+ assert(x < y);
+ assert(cuddZddNextHigh(table,x) == y);
+ assert(table->subtableZ[x].keys != 0);
+ assert(table->subtableZ[y].keys != 0);
+ assert(table->subtableZ[x].dead == 0);
+ assert(table->subtableZ[y].dead == 0);
+#endif
+
+ zddTotalNumberLinearTr++;
+
+ /* Get parameters of x subtable. */
+ xindex = table->invpermZ[x];
+ xlist = table->subtableZ[x].nodelist;
+ oldxkeys = table->subtableZ[x].keys;
+ xslots = table->subtableZ[x].slots;
+ xshift = table->subtableZ[x].shift;
+ newxkeys = 0;
+
+ /* Get parameters of y subtable. */
+ yindex = table->invpermZ[y];
+ ylist = table->subtableZ[y].nodelist;
+ oldykeys = table->subtableZ[y].keys;
+ yslots = table->subtableZ[y].slots;
+ yshift = table->subtableZ[y].shift;
+ newykeys = oldykeys;
+
+ /* The nodes in the x layer are put in two chains. The chain
+ ** pointed by g holds the normal nodes. When re-expressed they stay
+ ** in the x list. The chain pointed by special holds the elements
+ ** that will move to the y list.
+ */
+ g = special = NULL;
+ for (i = 0; i < xslots; i++) {
+ f = xlist[i];
+ if (f == NULL) continue;
+ xlist[i] = NULL;
+ while (f != NULL) {
+ next = f->next;
+ f1 = cuddT(f);
+ /* if (f1->index == yindex) */ cuddSatDec(f1->ref);
+ f0 = cuddE(f);
+ /* if (f0->index == yindex) */ cuddSatDec(f0->ref);
+ if ((int) f1->index == yindex && cuddE(f1) == empty &&
+ (int) f0->index != yindex) {
+ f->next = special;
+ special = f;
+ } else {
+ f->next = g;
+ g = f;
+ }
+ f = next;
+ } /* while there are elements in the collision chain */
+ } /* for each slot of the x subtable */
+
+ /* Mark y nodes with pointers from above x. We mark them by
+ ** changing their index to x.
+ */
+ for (i = 0; i < yslots; i++) {
+ f = ylist[i];
+ while (f != NULL) {
+ if (f->ref != 0) {
+ f->index = xindex;
+ }
+ f = f->next;
+ } /* while there are elements in the collision chain */
+ } /* for each slot of the y subtable */
+
+ /* Move special nodes to the y list. */
+ f = special;
+ while (f != NULL) {
+ next = f->next;
+ f1 = cuddT(f);
+ f11 = cuddT(f1);
+ cuddT(f) = f11;
+ cuddSatInc(f11->ref);
+ f0 = cuddE(f);
+ cuddSatInc(f0->ref);
+ f->index = yindex;
+ /* Insert at the beginning of the list so that it will be
+ ** found first if there is a duplicate. The duplicate will
+ ** eventually be moved or garbage collected. No node
+ ** re-expression will add a pointer to it.
+ */
+ posn = ddHash(f11, f0, yshift);
+ f->next = ylist[posn];
+ ylist[posn] = f;
+ newykeys++;
+ f = next;
+ }
+
+ /* Take care of the remaining x nodes that must be re-expressed.
+ ** They form a linked list pointed by g.
+ */
+ f = g;
+ while (f != NULL) {
+#ifdef DD_COUNT
+ table->swapSteps++;
+#endif
+ next = f->next;
+ /* Find f1, f0, f11, f10, f01, f00. */
+ f1 = cuddT(f);
+ if ((int) f1->index == yindex || (int) f1->index == xindex) {
+ f11 = cuddT(f1); f10 = cuddE(f1);
+ } else {
+ f11 = empty; f10 = f1;
+ }
+ f0 = cuddE(f);
+ if ((int) f0->index == yindex || (int) f0->index == xindex) {
+ f01 = cuddT(f0); f00 = cuddE(f0);
+ } else {
+ f01 = empty; f00 = f0;
+ }
+ /* Create the new T child. */
+ if (f01 == empty) {
+ newf1 = f10;
+ cuddSatInc(newf1->ref);
+ } else {
+ /* Check ylist for triple (yindex, f01, f10). */
+ posn = ddHash(f01, f10, yshift);
+ /* For each element newf1 in collision list ylist[posn]. */
+ newf1 = ylist[posn];
+ /* Search the collision chain skipping the marked nodes. */
+ while (newf1 != NULL) {
+ if (cuddT(newf1) == f01 && cuddE(newf1) == f10 &&
+ (int) newf1->index == yindex) {
+ cuddSatInc(newf1->ref);
+ break; /* match */
+ }
+ newf1 = newf1->next;
+ } /* while newf1 */
+ if (newf1 == NULL) { /* no match */
+ newf1 = cuddDynamicAllocNode(table);
+ if (newf1 == NULL)
+ goto zddSwapOutOfMem;
+ newf1->index = yindex; newf1->ref = 1;
+ cuddT(newf1) = f01;
+ cuddE(newf1) = f10;
+ /* Insert newf1 in the collision list ylist[pos];
+ ** increase the ref counts of f01 and f10
+ */
+ newykeys++;
+ newf1->next = ylist[posn];
+ ylist[posn] = newf1;
+ cuddSatInc(f01->ref);
+ cuddSatInc(f10->ref);
+ }
+ }
+ cuddT(f) = newf1;
+
+ /* Do the same for f0. */
+ /* Create the new E child. */
+ if (f11 == empty) {
+ newf0 = f00;
+ cuddSatInc(newf0->ref);
+ } else {
+ /* Check ylist for triple (yindex, f11, f00). */
+ posn = ddHash(f11, f00, yshift);
+ /* For each element newf0 in collision list ylist[posn]. */
+ newf0 = ylist[posn];
+ while (newf0 != NULL) {
+ if (cuddT(newf0) == f11 && cuddE(newf0) == f00 &&
+ (int) newf0->index == yindex) {
+ cuddSatInc(newf0->ref);
+ break; /* match */
+ }
+ newf0 = newf0->next;
+ } /* while newf0 */
+ if (newf0 == NULL) { /* no match */
+ newf0 = cuddDynamicAllocNode(table);
+ if (newf0 == NULL)
+ goto zddSwapOutOfMem;
+ newf0->index = yindex; newf0->ref = 1;
+ cuddT(newf0) = f11; cuddE(newf0) = f00;
+ /* Insert newf0 in the collision list ylist[posn];
+ ** increase the ref counts of f11 and f00.
+ */
+ newykeys++;
+ newf0->next = ylist[posn];
+ ylist[posn] = newf0;
+ cuddSatInc(f11->ref);
+ cuddSatInc(f00->ref);
+ }
+ }
+ cuddE(f) = newf0;
+
+ /* Re-insert the modified f in xlist.
+ ** The modified f does not already exists in xlist.
+ ** (Because of the uniqueness of the cofactors.)
+ */
+ posn = ddHash(newf1, newf0, xshift);
+ newxkeys++;
+ f->next = xlist[posn];
+ xlist[posn] = f;
+ f = next;
+ } /* while f != NULL */
+
+ /* GC the y layer and move the marked nodes to the x list. */
+
+ /* For each node f in ylist. */
+ for (i = 0; i < yslots; i++) {
+ previous = NULL;
+ f = ylist[i];
+ while (f != NULL) {
+ next = f->next;
+ if (f->ref == 0) {
+ cuddSatDec(cuddT(f)->ref);
+ cuddSatDec(cuddE(f)->ref);
+ cuddDeallocNode(table, f);
+ newykeys--;
+ if (previous == NULL)
+ ylist[i] = next;
+ else
+ previous->next = next;
+ } else if ((int) f->index == xindex) { /* move marked node */
+ if (previous == NULL)
+ ylist[i] = next;
+ else
+ previous->next = next;
+ f1 = cuddT(f);
+ cuddSatDec(f1->ref);
+ /* Check ylist for triple (yindex, f1, empty). */
+ posn = ddHash(f1, empty, yshift);
+ /* For each element newf1 in collision list ylist[posn]. */
+ newf1 = ylist[posn];
+ while (newf1 != NULL) {
+ if (cuddT(newf1) == f1 && cuddE(newf1) == empty &&
+ (int) newf1->index == yindex) {
+ cuddSatInc(newf1->ref);
+ break; /* match */
+ }
+ newf1 = newf1->next;
+ } /* while newf1 */
+ if (newf1 == NULL) { /* no match */
+ newf1 = cuddDynamicAllocNode(table);
+ if (newf1 == NULL)
+ goto zddSwapOutOfMem;
+ newf1->index = yindex; newf1->ref = 1;
+ cuddT(newf1) = f1; cuddE(newf1) = empty;
+ /* Insert newf1 in the collision list ylist[posn];
+ ** increase the ref counts of f1 and empty.
+ */
+ newykeys++;
+ newf1->next = ylist[posn];
+ ylist[posn] = newf1;
+ if (posn == i && previous == NULL)
+ previous = newf1;
+ cuddSatInc(f1->ref);
+ cuddSatInc(empty->ref);
+ }
+ cuddT(f) = newf1;
+ f0 = cuddE(f);
+ /* Insert f in x list. */
+ posn = ddHash(newf1, f0, xshift);
+ newxkeys++;
+ newykeys--;
+ f->next = xlist[posn];
+ xlist[posn] = f;
+ } else {
+ previous = f;
+ }
+ f = next;
+ } /* while f */
+ } /* for i */
+
+ /* Set the appropriate fields in table. */
+ table->subtableZ[x].keys = newxkeys;
+ table->subtableZ[y].keys = newykeys;
+
+ table->keysZ += newxkeys + newykeys - oldxkeys - oldykeys;
+
+ /* Update univ section; univ[x] remains the same. */
+ table->univ[y] = cuddT(table->univ[x]);
+
+#if 0
+ (void) fprintf(table->out,"x = %d y = %d\n", x, y);
+ (void) Cudd_DebugCheck(table);
+ (void) Cudd_CheckKeys(table);
+#endif
+
+ return (table->keysZ);
+
+zddSwapOutOfMem:
+ (void) fprintf(table->err, "Error: cuddZddSwapInPlace out of memory\n");
+
+ return (0);
+
+} /* end of cuddZddLinearInPlace */
+
+
+/**Function********************************************************************
+
+ Synopsis [Given xLow <= x <= xHigh moves x up and down between the
+ boundaries.]
+
+ Description [Given xLow <= x <= xHigh moves x up and down between the
+ boundaries. Finds the best position and does the required changes.
+ Returns 1 if successful; 0 otherwise.]
+
+ SideEffects [None]
+
+ SeeAlso []
+
+******************************************************************************/
+static int
+cuddZddLinearAux(
+ DdManager * table,
+ int x,
+ int xLow,
+ int xHigh)
+{
+ Move *move;
+ Move *moveUp; /* list of up move */
+ Move *moveDown; /* list of down move */
+
+ int initial_size;
+ int result;
+
+ initial_size = table->keysZ;
+
+#ifdef DD_DEBUG
+ assert(table->subtableZ[x].keys > 0);
+#endif
+
+ moveDown = NULL;
+ moveUp = NULL;
+
+ if (x == xLow) {
+ moveDown = cuddZddLinearDown(table, x, xHigh, NULL);
+ /* At this point x --> xHigh. */
+ if (moveDown == (Move *) CUDD_OUT_OF_MEM)
+ goto cuddZddLinearAuxOutOfMem;
+ /* Move backward and stop at best position. */
+ result = cuddZddLinearBackward(table, initial_size, moveDown);
+ if (!result)
+ goto cuddZddLinearAuxOutOfMem;
+
+ } else if (x == xHigh) {
+ moveUp = cuddZddLinearUp(table, x, xLow, NULL);
+ /* At this point x --> xLow. */
+ if (moveUp == (Move *) CUDD_OUT_OF_MEM)
+ goto cuddZddLinearAuxOutOfMem;
+ /* Move backward and stop at best position. */
+ result = cuddZddLinearBackward(table, initial_size, moveUp);
+ if (!result)
+ goto cuddZddLinearAuxOutOfMem;
+
+ } else if ((x - xLow) > (xHigh - x)) { /* must go down first: shorter */
+ moveDown = cuddZddLinearDown(table, x, xHigh, NULL);
+ /* At this point x --> xHigh. */
+ if (moveDown == (Move *) CUDD_OUT_OF_MEM)
+ goto cuddZddLinearAuxOutOfMem;
+ moveUp = cuddZddUndoMoves(table,moveDown);
+#ifdef DD_DEBUG
+ assert(moveUp == NULL || moveUp->x == x);
+#endif
+ moveUp = cuddZddLinearUp(table, x, xLow, moveUp);
+ if (moveUp == (Move *) CUDD_OUT_OF_MEM)
+ goto cuddZddLinearAuxOutOfMem;
+ /* Move backward and stop at best position. */
+ result = cuddZddLinearBackward(table, initial_size, moveUp);
+ if (!result)
+ goto cuddZddLinearAuxOutOfMem;
+
+ } else {
+ moveUp = cuddZddLinearUp(table, x, xLow, NULL);
+ /* At this point x --> xHigh. */
+ if (moveUp == (Move *) CUDD_OUT_OF_MEM)
+ goto cuddZddLinearAuxOutOfMem;
+ /* Then move up. */
+ moveDown = cuddZddUndoMoves(table,moveUp);
+#ifdef DD_DEBUG
+ assert(moveDown == NULL || moveDown->y == x);
+#endif
+ moveDown = cuddZddLinearDown(table, x, xHigh, moveDown);
+ if (moveDown == (Move *) CUDD_OUT_OF_MEM)
+ goto cuddZddLinearAuxOutOfMem;
+ /* Move backward and stop at best position. */
+ result = cuddZddLinearBackward(table, initial_size, moveDown);
+ if (!result)
+ goto cuddZddLinearAuxOutOfMem;
+ }
+
+ while (moveDown != NULL) {
+ move = moveDown->next;
+ cuddDeallocNode(table, (DdNode *)moveDown);
+ moveDown = move;
+ }
+ while (moveUp != NULL) {
+ move = moveUp->next;
+ cuddDeallocNode(table, (DdNode *)moveUp);
+ moveUp = move;
+ }
+
+ return(1);
+
+cuddZddLinearAuxOutOfMem:
+ if (moveDown != (Move *) CUDD_OUT_OF_MEM) {
+ while (moveDown != NULL) {
+ move = moveDown->next;
+ cuddDeallocNode(table, (DdNode *)moveDown);
+ moveDown = move;
+ }
+ }
+ if (moveUp != (Move *) CUDD_OUT_OF_MEM) {
+ while (moveUp != NULL) {
+ move = moveUp->next;
+ cuddDeallocNode(table, (DdNode *)moveUp);
+ moveUp = move;
+ }
+ }
+
+ return(0);
+
+} /* end of cuddZddLinearAux */
+
+
+/**Function********************************************************************
+
+ Synopsis [Sifts a variable up applying the XOR transformation.]
+
+ Description [Sifts a variable up applying the XOR
+ transformation. Moves y up until either it reaches the bound (xLow)
+ or the size of the ZDD heap increases too much. Returns the set of
+ moves in case of success; NULL if memory is full.]
+
+ SideEffects [None]
+
+ SeeAlso []
+
+******************************************************************************/
+static Move *
+cuddZddLinearUp(
+ DdManager * table,
+ int y,
+ int xLow,
+ Move * prevMoves)
+{
+ Move *moves;
+ Move *move;
+ int x;
+ int size, newsize;
+ int limitSize;
+
+ moves = prevMoves;
+ limitSize = table->keysZ;
+
+ x = cuddZddNextLow(table, y);
+ while (x >= xLow) {
+ size = cuddZddSwapInPlace(table, x, y);
+ if (size == 0)
+ goto cuddZddLinearUpOutOfMem;
+ newsize = cuddZddLinearInPlace(table, x, y);
+ if (newsize == 0)
+ goto cuddZddLinearUpOutOfMem;
+ move = (Move *) cuddDynamicAllocNode(table);
+ if (move == NULL)
+ goto cuddZddLinearUpOutOfMem;
+ move->x = x;
+ move->y = y;
+ move->next = moves;
+ moves = move;
+ move->flags = CUDD_SWAP_MOVE;
+ if (newsize > size) {
+ /* Undo transformation. The transformation we apply is
+ ** its own inverse. Hence, we just apply the transformation
+ ** again.
+ */
+ newsize = cuddZddLinearInPlace(table,x,y);
+ if (newsize == 0) goto cuddZddLinearUpOutOfMem;
+#ifdef DD_DEBUG
+ if (newsize != size) {
+ (void) fprintf(table->err,"Change in size after identity transformation! From %d to %d\n",size,newsize);
+ }
+#endif
+ } else {
+ size = newsize;
+ move->flags = CUDD_LINEAR_TRANSFORM_MOVE;
+ }
+ move->size = size;
+
+ if ((double)size > (double)limitSize * table->maxGrowth)
+ break;
+ if (size < limitSize)
+ limitSize = size;
+
+ y = x;
+ x = cuddZddNextLow(table, y);
+ }
+ return(moves);
+
+cuddZddLinearUpOutOfMem:
+ while (moves != NULL) {
+ move = moves->next;
+ cuddDeallocNode(table, (DdNode *)moves);
+ moves = move;
+ }
+ return((Move *) CUDD_OUT_OF_MEM);
+
+} /* end of cuddZddLinearUp */
+
+
+/**Function********************************************************************
+
+ Synopsis [Sifts a variable down and applies the XOR transformation.]
+
+ Description [Sifts a variable down. Moves x down until either it
+ reaches the bound (xHigh) or the size of the ZDD heap increases too
+ much. Returns the set of moves in case of success; NULL if memory is
+ full.]
+
+ SideEffects [None]
+
+ SeeAlso []
+
+******************************************************************************/
+static Move *
+cuddZddLinearDown(
+ DdManager * table,
+ int x,
+ int xHigh,
+ Move * prevMoves)
+{
+ Move *moves;
+ Move *move;
+ int y;
+ int size, newsize;
+ int limitSize;
+
+ moves = prevMoves;
+ limitSize = table->keysZ;
+
+ y = cuddZddNextHigh(table, x);
+ while (y <= xHigh) {
+ size = cuddZddSwapInPlace(table, x, y);
+ if (size == 0)
+ goto cuddZddLinearDownOutOfMem;
+ newsize = cuddZddLinearInPlace(table, x, y);
+ if (newsize == 0)
+ goto cuddZddLinearDownOutOfMem;
+ move = (Move *) cuddDynamicAllocNode(table);
+ if (move == NULL)
+ goto cuddZddLinearDownOutOfMem;
+ move->x = x;
+ move->y = y;
+ move->next = moves;
+ moves = move;
+ move->flags = CUDD_SWAP_MOVE;
+ if (newsize > size) {
+ /* Undo transformation. The transformation we apply is
+ ** its own inverse. Hence, we just apply the transformation
+ ** again.
+ */
+ newsize = cuddZddLinearInPlace(table,x,y);
+ if (newsize == 0) goto cuddZddLinearDownOutOfMem;
+ if (newsize != size) {
+ (void) fprintf(table->err,"Change in size after identity transformation! From %d to %d\n",size,newsize);
+ }
+ } else {
+ size = newsize;
+ move->flags = CUDD_LINEAR_TRANSFORM_MOVE;
+ }
+ move->size = size;
+
+ if ((double)size > (double)limitSize * table->maxGrowth)
+ break;
+ if (size < limitSize)
+ limitSize = size;
+
+ x = y;
+ y = cuddZddNextHigh(table, x);
+ }
+ return(moves);
+
+cuddZddLinearDownOutOfMem:
+ while (moves != NULL) {
+ move = moves->next;
+ cuddDeallocNode(table, (DdNode *)moves);
+ moves = move;
+ }
+ return((Move *) CUDD_OUT_OF_MEM);
+
+} /* end of cuddZddLinearDown */
+
+
+/**Function********************************************************************
+
+ Synopsis [Given a set of moves, returns the ZDD heap to the position
+ giving the minimum size.]
+
+ Description [Given a set of moves, returns the ZDD heap to the
+ position giving the minimum size. In case of ties, returns to the
+ closest position giving the minimum size. Returns 1 in case of
+ success; 0 otherwise.]
+
+ SideEffects [None]
+
+ SeeAlso []
+
+******************************************************************************/
+static int
+cuddZddLinearBackward(
+ DdManager * table,
+ int size,
+ Move * moves)
+{
+ Move *move;
+ int res;
+
+ /* Find the minimum size among moves. */
+ for (move = moves; move != NULL; move = move->next) {
+ if (move->size < size) {
+ size = move->size;
+ }
+ }
+
+ for (move = moves; move != NULL; move = move->next) {
+ if (move->size == size) return(1);
+ if (move->flags == CUDD_LINEAR_TRANSFORM_MOVE) {
+ res = cuddZddLinearInPlace(table,(int)move->x,(int)move->y);
+ if (!res) return(0);
+ }
+ res = cuddZddSwapInPlace(table, move->x, move->y);
+ if (!res)
+ return(0);
+ if (move->flags == CUDD_INVERSE_TRANSFORM_MOVE) {
+ res = cuddZddLinearInPlace(table,(int)move->x,(int)move->y);
+ if (!res) return(0);
+ }
+ }
+
+ return(1);
+
+} /* end of cuddZddLinearBackward */
+
+
+/**Function********************************************************************
+
+ Synopsis [Given a set of moves, returns the ZDD heap to the order
+ in effect before the moves.]
+
+ Description [Given a set of moves, returns the ZDD heap to the
+ order in effect before the moves. Returns 1 in case of success;
+ 0 otherwise.]
+
+ SideEffects [None]
+
+******************************************************************************/
+static Move*
+cuddZddUndoMoves(
+ DdManager * table,
+ Move * moves)
+{
+ Move *invmoves = NULL;
+ Move *move;
+ Move *invmove;
+ int size;
+
+ for (move = moves; move != NULL; move = move->next) {
+ invmove = (Move *) cuddDynamicAllocNode(table);
+ if (invmove == NULL) goto cuddZddUndoMovesOutOfMem;
+ invmove->x = move->x;
+ invmove->y = move->y;
+ invmove->next = invmoves;
+ invmoves = invmove;
+ if (move->flags == CUDD_SWAP_MOVE) {
+ invmove->flags = CUDD_SWAP_MOVE;
+ size = cuddZddSwapInPlace(table,(int)move->x,(int)move->y);
+ if (!size) goto cuddZddUndoMovesOutOfMem;
+ } else if (move->flags == CUDD_LINEAR_TRANSFORM_MOVE) {
+ invmove->flags = CUDD_INVERSE_TRANSFORM_MOVE;
+ size = cuddZddLinearInPlace(table,(int)move->x,(int)move->y);
+ if (!size) goto cuddZddUndoMovesOutOfMem;
+ size = cuddZddSwapInPlace(table,(int)move->x,(int)move->y);
+ if (!size) goto cuddZddUndoMovesOutOfMem;
+ } else { /* must be CUDD_INVERSE_TRANSFORM_MOVE */
+#ifdef DD_DEBUG
+ (void) fprintf(table->err,"Unforseen event in ddUndoMoves!\n");
+#endif
+ invmove->flags = CUDD_LINEAR_TRANSFORM_MOVE;
+ size = cuddZddSwapInPlace(table,(int)move->x,(int)move->y);
+ if (!size) goto cuddZddUndoMovesOutOfMem;
+ size = cuddZddLinearInPlace(table,(int)move->x,(int)move->y);
+ if (!size) goto cuddZddUndoMovesOutOfMem;
+ }
+ invmove->size = size;
+ }
+
+ return(invmoves);
+
+cuddZddUndoMovesOutOfMem:
+ while (invmoves != NULL) {
+ move = invmoves->next;
+ cuddDeallocNode(table, (DdNode *) invmoves);
+ invmoves = move;
+ }
+ return((Move *) CUDD_OUT_OF_MEM);
+
+} /* end of cuddZddUndoMoves */
+