/**CFile*********************************************************************** FileName [calReduce.c] PackageName [cal] Synopsis [Routines for optimizing a BDD with respect to a don't care set (cofactor and restrict).] Description [] SeeAlso [None] Author [Rajeev K. Ranjan (rajeev@eecs.berkeley.edu) and Jagesh V. Sanghavi (sanghavi@eecs.berkeley.edu] Copyright [Copyright (c) 1994-1996 The Regents of the Univ. of California. All rights reserved. Permission is hereby granted, without written agreement and without license or royalty fees, to use, copy, modify, and distribute this software and its documentation for any purpose, provided that the above copyright notice and the following two paragraphs appear in all copies of this software. IN NO EVENT SHALL THE UNIVERSITY OF CALIFORNIA BE LIABLE TO ANY PARTY FOR DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION, EVEN IF THE UNIVERSITY OF CALIFORNIA HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. THE UNIVERSITY OF CALIFORNIA SPECIFICALLY DISCLAIMS ANY WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE SOFTWARE PROVIDED HEREUNDER IS ON AN "AS IS" BASIS, AND THE UNIVERSITY OF CALIFORNIA HAS NO OBLIGATION TO PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.] Revision [$Id: calReduce.c,v 1.3 2002/09/21 20:39:25 fabio Exp $] ******************************************************************************/ #include "calInt.h" /*---------------------------------------------------------------------------*/ /* Constant declarations */ /*---------------------------------------------------------------------------*/ /*---------------------------------------------------------------------------*/ /* Type declarations */ /*---------------------------------------------------------------------------*/ /*---------------------------------------------------------------------------*/ /* Stucture declarations */ /*---------------------------------------------------------------------------*/ /*---------------------------------------------------------------------------*/ /* Variable declarations */ /*---------------------------------------------------------------------------*/ /*---------------------------------------------------------------------------*/ /* Macro declarations */ /*---------------------------------------------------------------------------*/ /**AutomaticStart*************************************************************/ /*---------------------------------------------------------------------------*/ /* Static function prototypes */ /*---------------------------------------------------------------------------*/ static Cal_Bdd_t BddReduceBF(Cal_BddManager_t * bddManager, CalOpProc_t calOpProc, Cal_Bdd_t f, Cal_Bdd_t c); static Cal_Bdd_t BddCofactorBF(Cal_BddManager_t * bddManager, CalOpProc_t calOpProc, Cal_Bdd_t f, Cal_Bdd_t c); static void HashTableReduceApply(Cal_BddManager_t * bddManager, CalHashTable_t * hashTable, CalHashTable_t ** reduceHashTableArray, CalHashTable_t ** orHashTableArray, CalOpProc_t calOpProc); static void HashTableCofactorApply(Cal_BddManager_t * bddManager, CalHashTable_t * hashTable, CalHashTable_t ** cofactorHashTableArray, CalOpProc_t calOpProc); static void HashTableCofactorReduce(Cal_BddManager_t * bddManager, CalHashTable_t * hashTable, CalHashTable_t * uniqueTableForId); /**AutomaticEnd***************************************************************/ /*---------------------------------------------------------------------------*/ /* Definition of exported functions */ /*---------------------------------------------------------------------------*/ /**Function******************************************************************** Synopsis [Returns the generalized cofactor of BDD f with respect to BDD c.] Description [Returns the generalized cofactor of BDD f with respect to BDD c. The constrain operator given by Coudert et al (ICCAD90) is used to find the generalized cofactor.] SideEffects [None.] SeeAlso [Cal_BddReduce] ******************************************************************************/ Cal_Bdd Cal_BddCofactor(Cal_BddManager bddManager, Cal_Bdd fUserBdd, Cal_Bdd cUserBdd) { Cal_Bdd_t result; Cal_Bdd userResult; if (CalBddPreProcessing(bddManager, 2, fUserBdd, cUserBdd)){ Cal_Bdd_t f = CalBddGetInternalBdd(bddManager, fUserBdd); Cal_Bdd_t c = CalBddGetInternalBdd(bddManager, cUserBdd); result = BddCofactorBF(bddManager, CalOpCofactor, f, c); userResult = CalBddGetExternalBdd(bddManager, result); if (CalBddPostProcessing(bddManager) == CAL_BDD_OVERFLOWED){ Cal_BddFree(bddManager, userResult); Cal_BddManagerGC(bddManager); return (Cal_Bdd) 0; } return userResult; } return (Cal_Bdd) 0; } /**Function******************************************************************** Synopsis [Returns a BDD which agrees with f for all valuations which satisfy c.] Description [Returns a BDD which agrees with f for all valuations which satisfy c. The result is usually smaller in terms of number of BDD nodes than f. This operation is typically used in state space searches to simplify the representation for the set of states wich will be expanded at each step.] SideEffects [None] SeeAlso [Cal_BddCofactor] ******************************************************************************/ Cal_Bdd Cal_BddReduce(Cal_BddManager bddManager, Cal_Bdd fUserBdd, Cal_Bdd cUserBdd) { if (CalBddPreProcessing(bddManager, 2, fUserBdd, cUserBdd)){ Cal_Bdd_t f = CalBddGetInternalBdd(bddManager, fUserBdd); Cal_Bdd_t c = CalBddGetInternalBdd(bddManager, cUserBdd); Cal_Bdd_t result; Cal_Bdd userResult; result = BddReduceBF(bddManager, CalOpCofactor, f, c); userResult = CalBddGetExternalBdd(bddManager, result); if (CalBddPostProcessing(bddManager) == CAL_BDD_OVERFLOWED){ Cal_BddFree(bddManager, userResult); Cal_BddManagerGC(bddManager); return (Cal_Bdd) 0; } if (Cal_BddSize(bddManager, userResult, 1) < Cal_BddSize(bddManager, fUserBdd, 1)){ return userResult; } else{ Cal_BddFree(bddManager, userResult); return Cal_BddIdentity(bddManager, fUserBdd); } } return (Cal_Bdd) 0; } /**Function******************************************************************** Synopsis [Returns a minimal BDD whose function contains fMin and is contained in fMax.] Description [Returns a minimal BDD f which is contains fMin and is contained in fMax ( fMin <= f <= fMax). This operation is typically used in state space searches to simplify the representation for the set of states wich will be expanded at each step (Rk Rk-1' <= f <= Rk).] SideEffects [None] SeeAlso [Cal_BddReduce] ******************************************************************************/ Cal_Bdd Cal_BddBetween(Cal_BddManager bddManager, Cal_Bdd fMinUserBdd, Cal_Bdd fMaxUserBdd) { if (CalBddPreProcessing(bddManager, 2, fMinUserBdd, fMaxUserBdd)){ Cal_Bdd_t fMin = CalBddGetInternalBdd(bddManager, fMinUserBdd); Cal_Bdd_t fMax = CalBddGetInternalBdd(bddManager, fMaxUserBdd); Cal_Bdd_t fMaxNot, careSet, result; Cal_Bdd resultUserBdd; long fMinSize, fMaxSize, resultSize; CalBddNot(fMax, fMaxNot); careSet = CalBddOpBF(bddManager, CalOpOr, fMin, fMaxNot); result = BddReduceBF(bddManager, CalOpCofactor, fMin, careSet); resultUserBdd = CalBddGetExternalBdd(bddManager, result); if (CalBddPostProcessing(bddManager) == CAL_BDD_OVERFLOWED){ Cal_BddFree(bddManager, resultUserBdd); Cal_BddManagerGC(bddManager); return (Cal_Bdd) 0; } fMinSize = Cal_BddSize(bddManager, fMinUserBdd, 1); fMaxSize = Cal_BddSize(bddManager, fMaxUserBdd, 1); resultSize = Cal_BddSize(bddManager, resultUserBdd, 1); if (resultSize < fMinSize){ if (resultSize < fMaxSize){ return resultUserBdd; } else { Cal_BddFree(bddManager, resultUserBdd); return Cal_BddIdentity(bddManager, fMaxUserBdd); } } Cal_BddFree(bddManager, resultUserBdd); if (fMinSize < fMaxSize){ return Cal_BddIdentity(bddManager, fMinUserBdd); } else{ return Cal_BddIdentity(bddManager, fMaxUserBdd); } } return (Cal_Bdd) 0; } /*---------------------------------------------------------------------------*/ /* Definition of internal functions */ /*---------------------------------------------------------------------------*/ /**Function******************************************************************** Synopsis [required] Description [optional] SideEffects [required] SeeAlso [optional] ******************************************************************************/ int CalOpCofactor( Cal_BddManager_t * bddManager, Cal_Bdd_t f, Cal_Bdd_t c, Cal_Bdd_t * resultBddPtr) { if (CalBddIsBddConst(c)){ if (CalBddIsBddZero(bddManager, c)){ *resultBddPtr = bddManager->bddNull; } else { *resultBddPtr = f; } return 1; } if (CalBddIsBddConst(f)){ *resultBddPtr = f; return 1; } return 0; } /*---------------------------------------------------------------------------*/ /* Definition of static functions */ /*---------------------------------------------------------------------------*/ /**Function******************************************************************** Synopsis [required] Description [optional] SideEffects [required] SeeAlso [optional] ******************************************************************************/ static Cal_Bdd_t BddReduceBF( Cal_BddManager_t * bddManager, CalOpProc_t calOpProc, Cal_Bdd_t f, Cal_Bdd_t c) { Cal_Bdd_t result; CalHashTable_t *hashTable; CalHashTable_t **orHashTableArray = bddManager->reqQue[0]; CalHashTable_t **reduceHashTableArray = bddManager->reqQue[1]; CalHashTable_t *uniqueTableForId; /*Cal_BddIndex_t minIndex;*/ int minIndex; int bddIndex; Cal_BddId_t bddId, minId; if ((*calOpProc)(bddManager, f, c, &result) == 1){ return result; } CalBddGetMinIdAndMinIndex(bddManager, f, c, minId, minIndex); CalHashTableFindOrAdd(reduceHashTableArray[minId], f, c, &result); for (bddIndex = minIndex; bddIndex < bddManager->numVars; bddIndex++){ bddId = bddManager->indexToId[bddIndex]; hashTable = reduceHashTableArray[bddId]; if(hashTable->numEntries){ HashTableReduceApply(bddManager, hashTable, reduceHashTableArray, orHashTableArray, CalOpCofactor); } } for(bddIndex = bddManager->numVars - 1; bddIndex >= minIndex; bddIndex--){ bddId = bddManager->indexToId[bddIndex]; uniqueTableForId = bddManager->uniqueTable[bddId]; hashTable = reduceHashTableArray[bddId]; if(hashTable->numEntries){ HashTableCofactorReduce(bddManager, hashTable, uniqueTableForId); } } CalRequestIsForwardedTo(result); for (bddIndex = minIndex; bddIndex < bddManager->numVars; bddIndex++){ bddId = bddManager->indexToId[bddIndex]; CalHashTableCleanUp(reduceHashTableArray[bddId]); } return result; } /**Function******************************************************************** Synopsis [required] Description [optional] SideEffects [required] SeeAlso [optional] ******************************************************************************/ static Cal_Bdd_t BddCofactorBF(Cal_BddManager_t * bddManager, CalOpProc_t calOpProc, Cal_Bdd_t f, Cal_Bdd_t c) { Cal_Bdd_t result; CalHashTable_t *hashTable; CalHashTable_t **cofactorHashTableArray = bddManager->reqQue[0]; CalHashTable_t *uniqueTableForId; /*Cal_BddIndex_t minIndex;*/ int minIndex; int bddIndex; Cal_BddId_t bddId, minId; if (CalBddIsBddZero(bddManager, c)){ CalBddWarningMessage("Bdd Cofactor Called with zero care set"); return bddManager->bddOne; } if (calOpProc(bddManager, f, c, &result) == 1){ return result; } CalBddGetMinIdAndMinIndex(bddManager, f, c, minId, minIndex); CalHashTableFindOrAdd(cofactorHashTableArray[minId], f, c, &result); for (bddIndex = minIndex; bddIndex < bddManager->numVars; bddIndex++){ bddId = bddManager->indexToId[bddIndex]; hashTable = cofactorHashTableArray[bddId]; if(hashTable->numEntries){ HashTableCofactorApply(bddManager, hashTable, cofactorHashTableArray, calOpProc); } } for(bddIndex = bddManager->numVars - 1; bddIndex >= minIndex; bddIndex--){ bddId = bddManager->indexToId[bddIndex]; uniqueTableForId = bddManager->uniqueTable[bddId]; hashTable = cofactorHashTableArray[bddId]; if(hashTable->numEntries){ HashTableCofactorReduce(bddManager, hashTable, uniqueTableForId); } } CalRequestIsForwardedTo(result); for (bddIndex = minIndex; bddIndex < bddManager->numVars; bddIndex++){ bddId = bddManager->indexToId[bddIndex]; CalHashTableCleanUp(cofactorHashTableArray[bddId]); } return result; } /**Function******************************************************************** Synopsis [required] Description [optional] SideEffects [required] SeeAlso [optional] ******************************************************************************/ static void HashTableReduceApply(Cal_BddManager_t * bddManager, CalHashTable_t * hashTable, CalHashTable_t ** reduceHashTableArray, CalHashTable_t ** orHashTableArray, CalOpProc_t calOpProc) { int i, numBins = hashTable->numBins; CalRequestNode_t *requestNode, *last, *nextRequestNode, *requestNodeList; Cal_Bdd_t f, c, fx, cx, fxbar, cxbar, result, orResult; Cal_BddId_t bddId, minId; /*Cal_BddIndex_t minIndex;*/ int minIndex; int bddIndex; CalHashTable_t *orHashTable; requestNodeList = Cal_Nil(CalRequestNode_t); for(i = 0; i < numBins; i++){ last = Cal_Nil(CalRequestNode_t); for (requestNode = hashTable->bins[i]; requestNode != Cal_Nil(CalRequestNode_t); requestNode = nextRequestNode){ nextRequestNode = CalRequestNodeGetNextRequestNode(requestNode); CalRequestNodeGetF(requestNode, f); CalRequestNodeGetG(requestNode, c); CalBddGetMinId2(bddManager, f, c, minId); CalBddGetCofactors(c, minId, cx, cxbar); if (CalBddGetBddId(f) != minId){ if (CalOpOr(bddManager, cx, cxbar, &orResult) == 0){ CalBddNormalize(cx, cxbar); CalBddGetMinId2(bddManager, cx, cxbar, minId); CalHashTableFindOrAdd(orHashTableArray[minId], cx, cxbar, &orResult); } CalRequestNodePutElseRequest(requestNode, orResult); if (last == Cal_Nil(CalRequestNode_t)){ hashTable->bins[i] = nextRequestNode; } else { CalRequestNodePutNextRequestNode(last, nextRequestNode); } CalRequestNodePutNextRequestNode(requestNode, requestNodeList); requestNodeList = requestNode; } else{ last = requestNode; CalBddGetCofactors(f, minId, fx, fxbar); if((*calOpProc)(bddManager, fx, cx, &result) == 0){ CalBddGetMinId2(bddManager, fx, cx, bddId); CalHashTableFindOrAdd(reduceHashTableArray[bddId], fx, cx, &result); } if (CalBddIsBddNull(bddManager, result) == 0){ CalBddIcrRefCount(result); } CalRequestNodePutThenRequest(requestNode, result); if((*calOpProc)(bddManager, fxbar, cxbar, &result) == 0){ CalBddGetMinId2(bddManager, fxbar, cxbar, bddId); CalHashTableFindOrAdd(reduceHashTableArray[bddId], fxbar, cxbar, &result); } if (CalBddIsBddNull(bddManager, result) == 0){ CalBddIcrRefCount(result); } CalRequestNodePutElseRequest(requestNode, result); } } } minIndex = bddManager->idToIndex[hashTable->bddId]; for (bddIndex = minIndex; bddIndex < bddManager->numVars; bddIndex++){ bddId = bddManager->indexToId[bddIndex]; orHashTable = orHashTableArray[bddId]; if(orHashTable->numEntries){ CalHashTableApply(bddManager, orHashTable, orHashTableArray, CalOpOr); } } for(bddIndex = bddManager->numVars - 1; bddIndex >= minIndex; bddIndex--){ CalHashTable_t *uniqueTableForId; bddId = bddManager->indexToId[bddIndex]; uniqueTableForId = bddManager->uniqueTable[bddId]; orHashTable = orHashTableArray[bddId]; if(orHashTable->numEntries){ CalHashTableReduce(bddManager, orHashTable, uniqueTableForId); } } for (requestNode = requestNodeList; requestNode; requestNode = nextRequestNode){ nextRequestNode = CalRequestNodeGetNextRequestNode(requestNode); CalRequestNodeGetElseRequest(requestNode, orResult); CalRequestIsForwardedTo(orResult); CalRequestNodeGetThenRequest(requestNode, f); CalBddGetMinId2(bddManager, f, orResult, minId); CalHashTableFindOrAdd(reduceHashTableArray[minId], f, orResult, &result); CalRequestNodePutThenRequest(requestNode, result); CalRequestNodePutElseRequest(requestNode, result); CalBddAddRefCount(result, 2); CalHashTableAddDirect(hashTable, requestNode); } /* Clean up the orHashTableArray */ for(bddIndex = bddManager->numVars - 1; bddIndex >= minIndex; bddIndex--){ bddId = bddManager->indexToId[bddIndex]; CalHashTableCleanUp(orHashTableArray[bddId]); } } /**Function******************************************************************** Synopsis [required] Description [optional] SideEffects [required] SeeAlso [optional] ******************************************************************************/ static void HashTableCofactorApply(Cal_BddManager_t * bddManager, CalHashTable_t * hashTable, CalHashTable_t ** cofactorHashTableArray, CalOpProc_t calOpProc) { int i, numBins = hashTable->numBins; CalBddNode_t **bins = hashTable->bins; CalRequestNode_t *requestNode; Cal_Bdd_t f, c, fx, cx, fxbar, cxbar, result; Cal_BddId_t bddId, minId; for(i = 0; i < numBins; i++){ for(requestNode = bins[i]; requestNode != Cal_Nil(CalRequestNode_t); requestNode = CalRequestNodeGetNextRequestNode(requestNode)){ CalRequestNodeGetF(requestNode, f); CalRequestNodeGetG(requestNode, c); CalBddGetMinId2(bddManager, f, c, minId); CalBddGetCofactors(f, minId, fx, fxbar); CalBddGetCofactors(c, minId, cx, cxbar); if((*calOpProc)(bddManager, fx, cx, &result) == 0){ CalBddGetMinId2(bddManager, fx, cx, bddId); CalHashTableFindOrAdd(cofactorHashTableArray[bddId], fx, cx, &result); } if (CalBddIsBddNull(bddManager, result) == 0){ CalBddIcrRefCount(result); } CalRequestNodePutThenRequest(requestNode, result); if((*calOpProc)(bddManager, fxbar, cxbar, &result) == 0){ CalBddGetMinId2(bddManager, fxbar, cxbar, bddId); CalHashTableFindOrAdd(cofactorHashTableArray[bddId], fxbar, cxbar, &result); } if (CalBddIsBddNull(bddManager, result) == 0){ CalBddIcrRefCount(result); } CalRequestNodePutElseRequest(requestNode, result); } } } /**Function******************************************************************** Synopsis [required] Description [optional] SideEffects [required] SeeAlso [optional] ******************************************************************************/ static void HashTableCofactorReduce(Cal_BddManager_t * bddManager, CalHashTable_t * hashTable, CalHashTable_t * uniqueTableForId) { int i, numBins = hashTable->numBins; CalBddNode_t **bins = hashTable->bins; Cal_BddId_t currentBddId = uniqueTableForId->bddId; CalNodeManager_t *nodeManager = uniqueTableForId->nodeManager; CalRequestNode_t *requestNode, *next, *endNode; CalBddNode_t *bddNode; Cal_Bdd_t thenBdd, elseBdd, result; Cal_BddRefCount_t refCount; endNode = hashTable->endNode; for(i = 0; i < numBins; i++){ for(requestNode = bins[i], bins[i] = Cal_Nil(CalRequestNode_t); requestNode != Cal_Nil(CalRequestNode_t); requestNode = next){ next = CalRequestNodeGetNextRequestNode(requestNode); /* Process the requestNode */ CalRequestNodeGetThenRequest(requestNode, thenBdd); CalRequestNodeGetElseRequest(requestNode, elseBdd); if (CalBddIsBddNull(bddManager, thenBdd)){ CalRequestIsForwardedTo(elseBdd); CalBddNodeGetRefCount(requestNode, refCount); CalBddAddRefCount(elseBdd, refCount - 1); CalRequestNodePutThenRequest(requestNode, elseBdd); CalRequestNodePutElseRequestNode(requestNode, FORWARD_FLAG); endNode->nextBddNode = requestNode; endNode = requestNode; continue; } else if (CalBddIsBddNull(bddManager, elseBdd)){ CalRequestIsForwardedTo(thenBdd); CalBddNodeGetRefCount(requestNode, refCount); CalBddAddRefCount(thenBdd, refCount - 1); CalRequestNodePutThenRequest(requestNode, thenBdd); CalRequestNodePutElseRequestNode(requestNode, FORWARD_FLAG); endNode->nextBddNode = requestNode; endNode = requestNode; continue; } CalRequestIsForwardedTo(thenBdd); CalRequestIsForwardedTo(elseBdd); if(CalBddIsEqual(thenBdd, elseBdd)){ CalBddNodeGetRefCount(requestNode, refCount); CalBddAddRefCount(thenBdd, refCount - 2); CalRequestNodePutThenRequest(requestNode, thenBdd); CalRequestNodePutElseRequestNode(requestNode, FORWARD_FLAG); endNode->nextBddNode = requestNode; endNode = requestNode; } else if(CalUniqueTableForIdLookup(bddManager, uniqueTableForId, thenBdd, elseBdd, &result) == 1){ CalBddDcrRefCount(thenBdd); CalBddDcrRefCount(elseBdd); CalBddNodeGetRefCount(requestNode, refCount); CalBddAddRefCount(result, refCount); CalRequestNodePutThenRequest(requestNode, result); CalRequestNodePutElseRequestNode(requestNode, FORWARD_FLAG); endNode->nextBddNode = requestNode; endNode = requestNode; } else if(CalBddIsOutPos(thenBdd)){ CalRequestNodePutThenRequest(requestNode, thenBdd); CalRequestNodePutElseRequest(requestNode, elseBdd); CalHashTableAddDirect(uniqueTableForId, requestNode); bddManager->numNodes++; bddManager->gcCheck--; } else{ CalNodeManagerAllocNode(nodeManager, bddNode); CalBddNodePutThenBddId(bddNode, CalBddGetBddId(thenBdd)); CalBddNodePutThenBddNode(bddNode, CalBddGetBddNodeNot(thenBdd)); CalBddNodePutElseBddId(bddNode, CalBddGetBddId(elseBdd)); CalBddNodePutElseBddNode(bddNode, CalBddGetBddNodeNot(elseBdd)); CalBddNodeGetRefCount(requestNode, refCount); CalBddNodePutRefCount(bddNode, refCount); CalHashTableAddDirect(uniqueTableForId, bddNode); bddManager->numNodes++; bddManager->gcCheck--; CalRequestNodePutThenRequestId(requestNode, currentBddId); CalRequestNodePutThenRequestNode(requestNode, CalBddNodeNot(bddNode)); CalRequestNodePutElseRequestNode(requestNode, FORWARD_FLAG); endNode->nextBddNode = requestNode; endNode = requestNode; } } } hashTable->endNode = endNode; }