/**CFile**************************************************************** FileName [acecPolyn.c] SystemName [ABC: Logic synthesis and verification system.] PackageName [CEC for arithmetic circuits.] Synopsis [Polynomial extraction.] Author [Alan Mishchenko] Affiliation [UC Berkeley] Date [Ver. 1.0. Started - June 20, 2005.] Revision [$Id: acecPolyn.c,v 1.00 2005/06/20 00:00:00 alanmi Exp $] ***********************************************************************/ #include "acecInt.h" #include "misc/vec/vecWec.h" #include "misc/vec/vecHsh.h" #include "misc/vec/vecQue.h" ABC_NAMESPACE_IMPL_START //////////////////////////////////////////////////////////////////////// /// DECLARATIONS /// //////////////////////////////////////////////////////////////////////// /* !a -> 1 - a a & b -> ab a | b -> a + b - ab a ^ b -> a + b - 2ab MUX(a, b, c) -> ab | (1 - a)c = ab + (1-a)c - ab(1-a)c = ab + c - ac !a & b -> (1 - a)b = b - ab a & !b -> a(1 - b) = a - ab !a & !b -> 1 - a - b + ab */ typedef struct Pln_Man_t_ Pln_Man_t; struct Pln_Man_t_ { Gia_Man_t * pGia; // AIG manager Hsh_VecMan_t * pHashC; // hash table for constants Hsh_VecMan_t * pHashM; // hash table for monomials Vec_Que_t * vQue; // queue by largest node Vec_Flt_t * vCounts; // largest node Vec_Int_t * vCoefs; // coefficients for each monomial Vec_Int_t * vTempC[2]; // polynomial representation Vec_Int_t * vTempM[4]; // polynomial representation Vec_Int_t * vOrder; // order of collapsing int nBuilds; // built monomials int nUsed; // used monomials }; //////////////////////////////////////////////////////////////////////// /// FUNCTION DEFINITIONS /// //////////////////////////////////////////////////////////////////////// /**Function************************************************************* Synopsis [Computation manager.] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ Pln_Man_t * Pln_ManAlloc( Gia_Man_t * pGia, Vec_Int_t * vOrder ) { Pln_Man_t * p = ABC_CALLOC( Pln_Man_t, 1 ); p->pGia = pGia; p->pHashC = Hsh_VecManStart( 1000 ); p->pHashM = Hsh_VecManStart( 1000 ); p->vQue = Vec_QueAlloc( 1000 ); p->vCounts = Vec_FltAlloc( 1000 ); p->vCoefs = Vec_IntAlloc( 1000 ); p->vTempC[0] = Vec_IntAlloc( 100 ); p->vTempC[1] = Vec_IntAlloc( 100 ); p->vTempM[0] = Vec_IntAlloc( 100 ); p->vTempM[1] = Vec_IntAlloc( 100 ); p->vTempM[2] = Vec_IntAlloc( 100 ); p->vTempM[3] = Vec_IntAlloc( 100 ); p->vOrder = vOrder ? Vec_IntDup(vOrder) : Vec_IntStartNatural( Gia_ManObjNum(pGia) ); assert( Vec_IntSize(p->vOrder) == Gia_ManObjNum(pGia) ); Vec_QueSetPriority( p->vQue, Vec_FltArrayP(p->vCounts) ); // add 0-constant and 1-monomial Hsh_VecManAdd( p->pHashC, p->vTempC[0] ); Hsh_VecManAdd( p->pHashM, p->vTempM[0] ); Vec_FltPush( p->vCounts, 0 ); Vec_IntPush( p->vCoefs, 0 ); return p; } void Pln_ManStop( Pln_Man_t * p ) { Hsh_VecManStop( p->pHashC ); Hsh_VecManStop( p->pHashM ); Vec_QueFree( p->vQue ); Vec_FltFree( p->vCounts ); Vec_IntFree( p->vCoefs ); Vec_IntFree( p->vTempC[0] ); Vec_IntFree( p->vTempC[1] ); Vec_IntFree( p->vTempM[0] ); Vec_IntFree( p->vTempM[1] ); Vec_IntFree( p->vTempM[2] ); Vec_IntFree( p->vTempM[3] ); Vec_IntFree( p->vOrder ); ABC_FREE( p ); } int Pln_ManCompare3( int * pData0, int * pData1 ) { if ( pData0[0] < pData1[0] ) return -1; if ( pData0[0] > pData1[0] ) return 1; if ( pData0[1] < pData1[1] ) return -1; if ( pData0[1] > pData1[1] ) return 1; return 0; } void Pln_ManPrintFinal( Pln_Man_t * p, int fVerbose, int fVeryVerbose ) { Vec_Int_t * vArray; int i, k, Entry, iMono, iConst; // collect triples Vec_Int_t * vPairs = Vec_IntAlloc( 100 ); Vec_IntForEachEntry( p->vCoefs, iConst, iMono ) { if ( iConst == 0 ) continue; vArray = Hsh_VecReadEntry( p->pHashC, iConst ); Vec_IntPush( vPairs, Vec_IntEntry(vArray, 0) ); vArray = Hsh_VecReadEntry( p->pHashM, iMono ); Vec_IntPush( vPairs, Vec_IntSize(vArray) ? Vec_IntEntry(vArray, 0) : 0 ); Vec_IntPushTwo( vPairs, iConst, iMono ); } // sort triples qsort( Vec_IntArray(vPairs), (size_t)(Vec_IntSize(vPairs)/4), 16, (int (*)(const void *, const void *))Pln_ManCompare3 ); // print if ( fVerbose ) Vec_IntForEachEntryDouble( vPairs, iConst, iMono, i ) { if ( i % 4 == 0 ) continue; printf( "%-6d : ", i/4 ); vArray = Hsh_VecReadEntry( p->pHashC, iConst ); Vec_IntForEachEntry( vArray, Entry, k ) printf( "%s%d", Entry < 0 ? "-" : "+", (1 << (Abc_AbsInt(Entry)-1)) ); vArray = Hsh_VecReadEntry( p->pHashM, iMono ); Vec_IntForEachEntry( vArray, Entry, k ) printf( " * %d", Entry ); printf( "\n" ); } printf( "HashC = %d. HashM = %d. Total = %d. Used = %d. ", Hsh_VecSize(p->pHashC), Hsh_VecSize(p->pHashM), p->nBuilds, Vec_IntSize(vPairs)/4 ); Vec_IntFree( vPairs ); } /**Function************************************************************* Synopsis [] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ static inline void Vec_IntAppendMinus2x( Vec_Int_t * vVec1, Vec_Int_t * vVec2 ) { int Entry, i; Vec_IntClear( vVec1 ); Vec_IntForEachEntry( vVec2, Entry, i ) Vec_IntPush( vVec1, Entry > 0 ? -Entry-1 : -Entry+1 ); } /**Function************************************************************* Synopsis [] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ static inline void Gia_PolynMergeConstOne( Vec_Int_t * vConst, int New ) { int i, Old; assert( New != 0 ); Vec_IntForEachEntry( vConst, Old, i ) { assert( Old != 0 ); if ( Old == New ) // A == B { Vec_IntDrop( vConst, i ); Gia_PolynMergeConstOne( vConst, New > 0 ? New + 1 : New - 1 ); return; } if ( Abc_AbsInt(Old) == Abc_AbsInt(New) ) // A == -B { Vec_IntDrop( vConst, i ); return; } if ( Old + New == 1 || Old + New == -1 ) // sign(A) != sign(B) && abs(abs(A)-abs(B)) == 1 { int Value = Abc_MinInt( Abc_AbsInt(Old), Abc_AbsInt(New) ); Vec_IntDrop( vConst, i ); Gia_PolynMergeConstOne( vConst, (Old + New == 1) ? Value : -Value ); return; } } Vec_IntPushUniqueOrder( vConst, New ); } static inline void Gia_PolynMergeConst( Vec_Int_t * vConst, Pln_Man_t * p, int iConstAdd ) { int i, New; Vec_Int_t * vConstAdd = Hsh_VecReadEntry( p->pHashC, iConstAdd ); Vec_IntForEachEntry( vConstAdd, New, i ) { Gia_PolynMergeConstOne( vConst, New ); vConstAdd = Hsh_VecReadEntry( p->pHashC, iConstAdd ); } } static inline void Gia_PolynBuildAdd( Pln_Man_t * p, Vec_Int_t * vTempC, Vec_Int_t * vTempM ) { int iConst, iConstNew, iMono = vTempM ? Hsh_VecManAdd(p->pHashM, vTempM) : 0; p->nBuilds++; if ( iMono == Vec_IntSize(p->vCoefs) ) // new monomial { iConst = Hsh_VecManAdd( p->pHashC, vTempC ); Vec_IntPush( p->vCoefs, iConst ); // Vec_FltPush( p->vCounts, Vec_IntEntryLast(vTempM) ); Vec_FltPush( p->vCounts, (float)Vec_IntEntry(p->vOrder, Vec_IntEntryLast(vTempM)) ); Vec_QuePush( p->vQue, iMono ); // Vec_QueUpdate( p->vQue, iMono ); if ( iConst ) p->nUsed++; return; } // this monomial exists iConst = Vec_IntEntry( p->vCoefs, iMono ); if ( iConst ) Gia_PolynMergeConst( vTempC, p, iConst ); iConstNew = Hsh_VecManAdd( p->pHashC, vTempC ); Vec_IntWriteEntry( p->vCoefs, iMono, iConstNew ); if ( iConst && !iConstNew ) p->nUsed--; else if ( !iConst && iConstNew ) p->nUsed++; //assert( p->nUsed == Vec_IntSize(p->vCoefs) - Vec_IntCountZero(p->vCoefs) ); } void Gia_PolynBuildOne( Pln_Man_t * p, int iMono ) { Gia_Obj_t * pObj; Vec_Int_t * vArray, * vConst; int iFan0, iFan1; int k, iConst, iDriver; assert( Vec_IntSize(p->vCoefs) == Hsh_VecSize(p->pHashM) ); vArray = Hsh_VecReadEntry( p->pHashM, iMono ); iDriver = Vec_IntEntryLast( vArray ); pObj = Gia_ManObj( p->pGia, iDriver ); if ( !Gia_ObjIsAnd(pObj) ) return; assert( !Gia_ObjIsMux(p->pGia, pObj) ); iConst = Vec_IntEntry( p->vCoefs, iMono ); if ( iConst == 0 ) return; Vec_IntWriteEntry( p->vCoefs, iMono, 0 ); p->nUsed--; iFan0 = Gia_ObjFaninId0p(p->pGia, pObj); iFan1 = Gia_ObjFaninId1p(p->pGia, pObj); for ( k = 0; k < 4; k++ ) { Vec_IntClear( p->vTempM[k] ); Vec_IntAppend( p->vTempM[k], vArray ); Vec_IntPop( p->vTempM[k] ); if ( k == 1 || k == 3 ) Vec_IntPushUniqueOrderCost( p->vTempM[k], iFan0, p->vOrder ); // x // Vec_IntPushUniqueOrder( p->vTempM[k], iFan0 ); // x if ( k == 2 || k == 3 ) Vec_IntPushUniqueOrderCost( p->vTempM[k], iFan1, p->vOrder ); // y // Vec_IntPushUniqueOrder( p->vTempM[k], iFan1 ); // y } vConst = Hsh_VecReadEntry( p->pHashC, iConst ); if ( !Gia_ObjIsXor(pObj) ) for ( k = 0; k < 2; k++ ) Vec_IntAppendMinus( p->vTempC[k], vConst, k ); if ( Gia_ObjIsXor(pObj) ) { vConst = Hsh_VecReadEntry( p->pHashC, iConst ); Vec_IntAppendMinus( p->vTempC[0], vConst, 0 ); Gia_PolynBuildAdd( p, p->vTempC[0], p->vTempM[1] ); // C * x vConst = Hsh_VecReadEntry( p->pHashC, iConst ); Vec_IntAppendMinus( p->vTempC[0], vConst, 0 ); Gia_PolynBuildAdd( p, p->vTempC[0], p->vTempM[2] ); // C * y //if ( !p->pGia->vXors || Vec_IntFind(p->pGia->vXors, iDriver) == -1 || Vec_IntFind(p->pGia->vXors, iDriver) == 5 ) { vConst = Hsh_VecReadEntry( p->pHashC, iConst ); Vec_IntAppendMinus2x( p->vTempC[0], vConst ); Gia_PolynBuildAdd( p, p->vTempC[0], p->vTempM[3] ); // -C * x * y } } else if ( Gia_ObjFaninC0(pObj) && Gia_ObjFaninC1(pObj) ) // C * (1 - x) * (1 - y) { Gia_PolynBuildAdd( p, p->vTempC[0], p->vTempM[0] ); // C * 1 Gia_PolynBuildAdd( p, p->vTempC[1], p->vTempM[1] ); // -C * x vConst = Hsh_VecReadEntry( p->pHashC, iConst ); for ( k = 0; k < 2; k++ ) Vec_IntAppendMinus( p->vTempC[k], vConst, k ); Gia_PolynBuildAdd( p, p->vTempC[1], p->vTempM[2] ); // -C * y Gia_PolynBuildAdd( p, p->vTempC[0], p->vTempM[3] ); // C * x * y } else if ( Gia_ObjFaninC0(pObj) && !Gia_ObjFaninC1(pObj) ) // C * (1 - x) * y { Gia_PolynBuildAdd( p, p->vTempC[0], p->vTempM[2] ); // C * y Gia_PolynBuildAdd( p, p->vTempC[1], p->vTempM[3] ); // -C * x * y } else if ( !Gia_ObjFaninC0(pObj) && Gia_ObjFaninC1(pObj) ) // C * x * (1 - y) { Gia_PolynBuildAdd( p, p->vTempC[0], p->vTempM[1] ); // C * x Gia_PolynBuildAdd( p, p->vTempC[1], p->vTempM[3] ); // -C * x * y } else Gia_PolynBuildAdd( p, p->vTempC[0], p->vTempM[3] ); // C * x * y } void Gia_PolynBuild( Gia_Man_t * pGia, Vec_Int_t * vOrder, int fSigned, int fVerbose, int fVeryVerbose ) { abctime clk = Abc_Clock();//, clk2 = 0; Gia_Obj_t * pObj; Vec_Bit_t * vPres = Vec_BitStart( Gia_ManObjNum(pGia) ); int i, iMono, iDriver, LevPrev, LevCur, Iter, Line = 0; Pln_Man_t * p = Pln_ManAlloc( pGia, vOrder ); Gia_ManForEachCoReverse( pGia, pObj, i ) { Vec_IntFill( p->vTempC[0], 1, i+1 ); // 2^i Vec_IntFill( p->vTempC[1], 1, -i-1 ); // -2^i iDriver = Gia_ObjFaninId0p( pGia, pObj ); Vec_IntFill( p->vTempM[0], 1, iDriver ); // Driver if ( fSigned && i == Gia_ManCoNum(pGia)-1 ) { if ( Gia_ObjFaninC0(pObj) ) { Gia_PolynBuildAdd( p, p->vTempC[1], NULL ); // -C Gia_PolynBuildAdd( p, p->vTempC[0], p->vTempM[0] ); // C * Driver } else Gia_PolynBuildAdd( p, p->vTempC[1], p->vTempM[0] ); // -C * Driver } else { if ( Gia_ObjFaninC0(pObj) ) { Gia_PolynBuildAdd( p, p->vTempC[0], NULL ); // C Gia_PolynBuildAdd( p, p->vTempC[1], p->vTempM[0] ); // -C * Driver } else Gia_PolynBuildAdd( p, p->vTempC[0], p->vTempM[0] ); // C * Driver } } LevPrev = -1; for ( Iter = 0; ; Iter++ ) { Vec_Int_t * vTempM; //abctime temp = Abc_Clock(); if ( Vec_QueSize(p->vQue) == 0 ) break; iMono = Vec_QuePop(p->vQue); // report vTempM = Hsh_VecReadEntry( p->pHashM, iMono ); //printf( "Removing var %d\n", Vec_IntEntryLast(vTempM) ); LevCur = Vec_IntEntryLast(vTempM); if ( !Gia_ObjIsAnd(Gia_ManObj(pGia, LevCur)) ) continue; if ( LevPrev != LevCur ) { if ( Vec_BitEntry( vPres, LevCur ) && fVerbose ) printf( "Repeating entry %d\n", LevCur ); else Vec_BitSetEntry( vPres, LevCur, 1 ); if ( fVeryVerbose ) printf( "Line%5d Iter%10d : Obj =%6d. Order =%6d. HashC =%6d. HashM =%10d. Total =%10d. Used =%10d.\n", Line++, Iter, LevCur, Vec_IntEntry(p->vOrder, LevCur), Hsh_VecSize(p->pHashC), Hsh_VecSize(p->pHashM), p->nBuilds, p->nUsed ); } LevPrev = LevCur; Gia_PolynBuildOne( p, iMono ); //clk2 += Abc_Clock() - temp; } //Abc_PrintTime( 1, "Time2", clk2 ); Pln_ManPrintFinal( p, fVerbose, fVeryVerbose ); Abc_PrintTime( 1, "Time", Abc_Clock() - clk ); Pln_ManStop( p ); Vec_BitFree( vPres ); } /**Function************************************************************* Synopsis [] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ void Gia_PolynBuild2( Gia_Man_t * pGia, int fSigned, int fVerbose, int fVeryVerbose ) { Hsh_VecMan_t * pHashC = Hsh_VecManStart( 1000 ); // hash table for constants Hsh_VecMan_t * pHashM = Hsh_VecManStart( 1000 ); // hash table for monomials //Vec_Wec_t * vLit2Mono = Vec_WecStart( Gia_ManObjNum(pGia) * 2 ); Hsh_VecManStop( pHashC ); Hsh_VecManStop( pHashM ); } //////////////////////////////////////////////////////////////////////// /// END OF FILE /// //////////////////////////////////////////////////////////////////////// ABC_NAMESPACE_IMPL_END