/**CFile**************************************************************** FileName [ivyIsop.c] SystemName [ABC: Logic synthesis and verification system.] PackageName [And-Inverter Graph package.] Synopsis [Computing irredundant SOP using truth table.] Author [Alan Mishchenko] Affiliation [UC Berkeley] Date [Ver. 1.0. Started - May 11, 2006.] Revision [$Id: ivyIsop.c,v 1.00 2006/05/11 00:00:00 alanmi Exp $] ***********************************************************************/ #include "ivy.h" #include "mem.h" //////////////////////////////////////////////////////////////////////// /// DECLARATIONS /// //////////////////////////////////////////////////////////////////////// // ISOP computation fails if intermediate memory usage exceed this limit #define IVY_ISOP_MEM_LIMIT 16*4096 // intermediate ISOP representation typedef struct Ivy_Sop_t_ Ivy_Sop_t; struct Ivy_Sop_t_ { unsigned * pCubes; int nCubes; }; // static procedures to compute ISOP static unsigned * Ivy_TruthIsop_rec( unsigned * puOn, unsigned * puOnDc, int nVars, Ivy_Sop_t * pcRes, Vec_Int_t * vStore ); static unsigned Ivy_TruthIsop5_rec( unsigned uOn, unsigned uOnDc, int nVars, Ivy_Sop_t * pcRes, Vec_Int_t * vStore ); //////////////////////////////////////////////////////////////////////// /// FUNCTION DEFINITIONS /// //////////////////////////////////////////////////////////////////////// /**Function************************************************************* Synopsis [Computes ISOP from TT.] Description [Returns the cover in vCover. Uses the rest of array in vCover as an intermediate memory storage. Returns the cover with -1 cubes, if the the computation exceeded the memory limit (IVY_ISOP_MEM_LIMIT words of intermediate data).] SideEffects [] SeeAlso [] ***********************************************************************/ int Ivy_TruthIsop( unsigned * puTruth, int nVars, Vec_Int_t * vCover, int fTryBoth ) { Ivy_Sop_t cRes, * pcRes = &cRes; Ivy_Sop_t cRes2, * pcRes2 = &cRes2; unsigned * pResult; int RetValue = 0; assert( nVars >= 0 && nVars < 16 ); // if nVars < 5, make sure it does not depend on those vars // for ( i = nVars; i < 5; i++ ) // assert( !Extra_TruthVarInSupport(puTruth, 5, i) ); // prepare memory manager Vec_IntClear( vCover ); Vec_IntGrow( vCover, IVY_ISOP_MEM_LIMIT ); // compute ISOP for the direct polarity pResult = Ivy_TruthIsop_rec( puTruth, puTruth, nVars, pcRes, vCover ); if ( pcRes->nCubes == -1 ) { vCover->nSize = -1; return 0; } assert( Extra_TruthIsEqual( puTruth, pResult, nVars ) ); if ( fTryBoth ) { // compute ISOP for the complemented polarity Extra_TruthNot( puTruth, puTruth, nVars ); pResult = Ivy_TruthIsop_rec( puTruth, puTruth, nVars, pcRes2, vCover ); if ( pcRes2->nCubes >= 0 ) { assert( Extra_TruthIsEqual( puTruth, pResult, nVars ) ); if ( pcRes->nCubes > pcRes2->nCubes ) { RetValue = 1; pcRes = pcRes2; } } Extra_TruthNot( puTruth, puTruth, nVars ); } // printf( "%d ", vCover->nSize ); // move the cover representation to the beginning of the memory buffer memmove( vCover->pArray, pcRes->pCubes, pcRes->nCubes * sizeof(unsigned) ); Vec_IntShrink( vCover, pcRes->nCubes ); return RetValue; } /**Function************************************************************* Synopsis [Computes ISOP 6 variables or more.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ unsigned * Ivy_TruthIsop_rec( unsigned * puOn, unsigned * puOnDc, int nVars, Ivy_Sop_t * pcRes, Vec_Int_t * vStore ) { Ivy_Sop_t cRes0, cRes1, cRes2; Ivy_Sop_t * pcRes0 = &cRes0, * pcRes1 = &cRes1, * pcRes2 = &cRes2; unsigned * puRes0, * puRes1, * puRes2; unsigned * puOn0, * puOn1, * puOnDc0, * puOnDc1, * pTemp, * pTemp0, * pTemp1; int i, k, Var, nWords, nWordsAll; // assert( Extra_TruthIsImply( puOn, puOnDc, nVars ) ); // allocate room for the resulting truth table nWordsAll = Extra_TruthWordNum( nVars ); pTemp = Vec_IntFetch( vStore, nWordsAll ); if ( pTemp == NULL ) { pcRes->nCubes = -1; return NULL; } // check for constants if ( Extra_TruthIsConst0( puOn, nVars ) ) { pcRes->nCubes = 0; pcRes->pCubes = NULL; Extra_TruthClear( pTemp, nVars ); return pTemp; } if ( Extra_TruthIsConst1( puOnDc, nVars ) ) { pcRes->nCubes = 1; pcRes->pCubes = Vec_IntFetch( vStore, 1 ); if ( pcRes->pCubes == NULL ) { pcRes->nCubes = -1; return NULL; } pcRes->pCubes[0] = 0; Extra_TruthFill( pTemp, nVars ); return pTemp; } assert( nVars > 0 ); // find the topmost var for ( Var = nVars-1; Var >= 0; Var-- ) if ( Extra_TruthVarInSupport( puOn, nVars, Var ) || Extra_TruthVarInSupport( puOnDc, nVars, Var ) ) break; assert( Var >= 0 ); // consider a simple case when one-word computation can be used if ( Var < 5 ) { unsigned uRes = Ivy_TruthIsop5_rec( puOn[0], puOnDc[0], Var+1, pcRes, vStore ); for ( i = 0; i < nWordsAll; i++ ) pTemp[i] = uRes; return pTemp; } assert( Var >= 5 ); nWords = Extra_TruthWordNum( Var ); // cofactor puOn0 = puOn; puOn1 = puOn + nWords; puOnDc0 = puOnDc; puOnDc1 = puOnDc + nWords; pTemp0 = pTemp; pTemp1 = pTemp + nWords; // solve for cofactors Extra_TruthSharp( pTemp0, puOn0, puOnDc1, Var ); puRes0 = Ivy_TruthIsop_rec( pTemp0, puOnDc0, Var, pcRes0, vStore ); if ( pcRes0->nCubes == -1 ) { pcRes->nCubes = -1; return NULL; } Extra_TruthSharp( pTemp1, puOn1, puOnDc0, Var ); puRes1 = Ivy_TruthIsop_rec( pTemp1, puOnDc1, Var, pcRes1, vStore ); if ( pcRes1->nCubes == -1 ) { pcRes->nCubes = -1; return NULL; } Extra_TruthSharp( pTemp0, puOn0, puRes0, Var ); Extra_TruthSharp( pTemp1, puOn1, puRes1, Var ); Extra_TruthOr( pTemp0, pTemp0, pTemp1, Var ); Extra_TruthAnd( pTemp1, puOnDc0, puOnDc1, Var ); puRes2 = Ivy_TruthIsop_rec( pTemp0, pTemp1, Var, pcRes2, vStore ); if ( pcRes2->nCubes == -1 ) { pcRes->nCubes = -1; return NULL; } // create the resulting cover pcRes->nCubes = pcRes0->nCubes + pcRes1->nCubes + pcRes2->nCubes; pcRes->pCubes = Vec_IntFetch( vStore, pcRes->nCubes ); if ( pcRes->pCubes == NULL ) { pcRes->nCubes = -1; return NULL; } k = 0; for ( i = 0; i < pcRes0->nCubes; i++ ) pcRes->pCubes[k++] = pcRes0->pCubes[i] | (1 << ((Var<<1)+1)); for ( i = 0; i < pcRes1->nCubes; i++ ) pcRes->pCubes[k++] = pcRes1->pCubes[i] | (1 << ((Var<<1)+0)); for ( i = 0; i < pcRes2->nCubes; i++ ) pcRes->pCubes[k++] = pcRes2->pCubes[i]; assert( k == pcRes->nCubes ); // create the resulting truth table Extra_TruthOr( pTemp0, puRes0, puRes2, Var ); Extra_TruthOr( pTemp1, puRes1, puRes2, Var ); // copy the table if needed nWords <<= 1; for ( i = 1; i < nWordsAll/nWords; i++ ) for ( k = 0; k < nWords; k++ ) pTemp[i*nWords + k] = pTemp[k]; // verify in the end // assert( Extra_TruthIsImply( puOn, pTemp, nVars ) ); // assert( Extra_TruthIsImply( pTemp, puOnDc, nVars ) ); return pTemp; } /**Function************************************************************* Synopsis [Computes ISOP for 5 variables or less.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ unsigned Ivy_TruthIsop5_rec( unsigned uOn, unsigned uOnDc, int nVars, Ivy_Sop_t * pcRes, Vec_Int_t * vStore ) { unsigned uMasks[5] = { 0xAAAAAAAA, 0xCCCCCCCC, 0xF0F0F0F0, 0xFF00FF00, 0xFFFF0000 }; Ivy_Sop_t cRes0, cRes1, cRes2; Ivy_Sop_t * pcRes0 = &cRes0, * pcRes1 = &cRes1, * pcRes2 = &cRes2; unsigned uOn0, uOn1, uOnDc0, uOnDc1, uRes0, uRes1, uRes2; int i, k, Var; assert( nVars <= 5 ); assert( (uOn & ~uOnDc) == 0 ); if ( uOn == 0 ) { pcRes->nCubes = 0; pcRes->pCubes = NULL; return 0; } if ( uOnDc == 0xFFFFFFFF ) { pcRes->nCubes = 1; pcRes->pCubes = Vec_IntFetch( vStore, 1 ); if ( pcRes->pCubes == NULL ) { pcRes->nCubes = -1; return 0; } pcRes->pCubes[0] = 0; return 0xFFFFFFFF; } assert( nVars > 0 ); // find the topmost var for ( Var = nVars-1; Var >= 0; Var-- ) if ( Extra_TruthVarInSupport( &uOn, 5, Var ) || Extra_TruthVarInSupport( &uOnDc, 5, Var ) ) break; assert( Var >= 0 ); // cofactor uOn0 = uOn1 = uOn; uOnDc0 = uOnDc1 = uOnDc; Extra_TruthCofactor0( &uOn0, Var + 1, Var ); Extra_TruthCofactor1( &uOn1, Var + 1, Var ); Extra_TruthCofactor0( &uOnDc0, Var + 1, Var ); Extra_TruthCofactor1( &uOnDc1, Var + 1, Var ); // solve for cofactors uRes0 = Ivy_TruthIsop5_rec( uOn0 & ~uOnDc1, uOnDc0, Var, pcRes0, vStore ); if ( pcRes0->nCubes == -1 ) { pcRes->nCubes = -1; return 0; } uRes1 = Ivy_TruthIsop5_rec( uOn1 & ~uOnDc0, uOnDc1, Var, pcRes1, vStore ); if ( pcRes1->nCubes == -1 ) { pcRes->nCubes = -1; return 0; } uRes2 = Ivy_TruthIsop5_rec( (uOn0 & ~uRes0) | (uOn1 & ~uRes1), uOnDc0 & uOnDc1, Var, pcRes2, vStore ); if ( pcRes2->nCubes == -1 ) { pcRes->nCubes = -1; return 0; } // create the resulting cover pcRes->nCubes = pcRes0->nCubes + pcRes1->nCubes + pcRes2->nCubes; pcRes->pCubes = Vec_IntFetch( vStore, pcRes->nCubes ); if ( pcRes->pCubes == NULL ) { pcRes->nCubes = -1; return 0; } k = 0; for ( i = 0; i < pcRes0->nCubes; i++ ) pcRes->pCubes[k++] = pcRes0->pCubes[i] | (1 << ((Var<<1)+1)); for ( i = 0; i < pcRes1->nCubes; i++ ) pcRes->pCubes[k++] = pcRes1->pCubes[i] | (1 << ((Var<<1)+0)); for ( i = 0; i < pcRes2->nCubes; i++ ) pcRes->pCubes[k++] = pcRes2->pCubes[i]; assert( k == pcRes->nCubes ); // derive the final truth table uRes2 |= (uRes0 & ~uMasks[Var]) | (uRes1 & uMasks[Var]); // assert( (uOn & ~uRes2) == 0 ); // assert( (uRes2 & ~uOnDc) == 0 ); return uRes2; } //////////////////////////////////////////////////////////////////////// /// END OF FILE /// ////////////////////////////////////////////////////////////////////////