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-rw-r--r--src/bool/bdc/bdcSpfd.c1176
1 files changed, 1176 insertions, 0 deletions
diff --git a/src/bool/bdc/bdcSpfd.c b/src/bool/bdc/bdcSpfd.c
new file mode 100644
index 00000000..83a35c11
--- /dev/null
+++ b/src/bool/bdc/bdcSpfd.c
@@ -0,0 +1,1176 @@
+/**CFile****************************************************************
+
+ FileName [bdcSpfd.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Truth-table-based bi-decomposition engine.]
+
+ Synopsis [The gateway to bi-decomposition.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - January 30, 2007.]
+
+ Revision [$Id: bdcSpfd.c,v 1.00 2007/01/30 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "bdcInt.h"
+#include "src/aig/aig/aig.h"
+
+ABC_NAMESPACE_IMPL_START
+
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct Bdc_Nod_t_ Bdc_Nod_t;
+struct Bdc_Nod_t_
+{
+ unsigned iFan0g : 8;
+ unsigned iFan0n : 12;
+ unsigned Type : 12; // 0-3 = AND; 4 = XOR
+
+ unsigned iFan1g : 8;
+ unsigned iFan1n : 12;
+ unsigned Weight : 12;
+
+ word Truth;
+};
+
+static word Truths[6] = {
+ 0xAAAAAAAAAAAAAAAA,
+ 0xCCCCCCCCCCCCCCCC,
+ 0xF0F0F0F0F0F0F0F0,
+ 0xFF00FF00FF00FF00,
+ 0xFFFF0000FFFF0000,
+ 0xFFFFFFFF00000000
+};
+
+static inline int Bdc_CountOnes( word t )
+{
+ t = (t & 0x5555555555555555) + ((t>> 1) & 0x5555555555555555);
+ t = (t & 0x3333333333333333) + ((t>> 2) & 0x3333333333333333);
+ t = (t & 0x0F0F0F0F0F0F0F0F) + ((t>> 4) & 0x0F0F0F0F0F0F0F0F);
+ t = (t & 0x00FF00FF00FF00FF) + ((t>> 8) & 0x00FF00FF00FF00FF);
+ t = (t & 0x0000FFFF0000FFFF) + ((t>>16) & 0x0000FFFF0000FFFF);
+ return (t & 0x00000000FFFFFFFF) + (t>>32);
+}
+
+static inline int Bdc_CountSpfd( word t, word f )
+{
+ int n00 = Bdc_CountOnes( ~t & ~f );
+ int n01 = Bdc_CountOnes( t & ~f );
+ int n10 = Bdc_CountOnes( ~t & f );
+ int n11 = Bdc_CountOnes( t & f );
+ return n00 * n11 + n10 * n01;
+}
+
+static inline word Bdc_Cof6( word t, int iVar, int fCof1 )
+{
+ assert( iVar >= 0 && iVar < 6 );
+ if ( fCof1 )
+ return (t & Truths[iVar]) | ((t & Truths[iVar]) >> (1<<iVar));
+ else
+ return (t &~Truths[iVar]) | ((t &~Truths[iVar]) << (1<<iVar));
+}
+
+int Bdc_SpfdAdjCost( word t )
+{
+ word c0, c1;
+ int v, Cost = 0;
+ for ( v = 0; v < 6; v++ )
+ {
+ c0 = Bdc_Cof6( t, v, 0 );
+ c1 = Bdc_Cof6( t, v, 1 );
+ Cost += Bdc_CountOnes( c0 ^ c1 );
+ }
+ return Cost;
+}
+
+
+extern void Abc_Show6VarFunc( word F0, word F1 );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Bdc_SpfdPrint_rec( Bdc_Nod_t * pNode, int Level, Vec_Ptr_t * vLevels )
+{
+ assert( Level > 0 );
+ printf( "(" );
+
+ if ( pNode->Type & 1 )
+ printf( "!" );
+ if ( pNode->iFan0g == 0 )
+ printf( "%c", 'a' + pNode->iFan0n );
+ else
+ {
+ Bdc_Nod_t * pNode0 = (Bdc_Nod_t *)Vec_PtrEntry(vLevels, pNode->iFan0g);
+ Bdc_SpfdPrint_rec( pNode0 + pNode->iFan0n, pNode->iFan0g, vLevels );
+ }
+
+ if ( pNode->Type & 4 )
+ printf( "+" );
+ else
+ printf( "*" );
+
+ if ( pNode->Type & 2 )
+ printf( "!" );
+ if ( pNode->iFan1g == 0 )
+ printf( "%c", 'a' + pNode->iFan1n );
+ else
+ {
+ Bdc_Nod_t * pNode1 = (Bdc_Nod_t *)Vec_PtrEntry(vLevels, pNode->iFan1g);
+ Bdc_SpfdPrint_rec( pNode1 + pNode->iFan1n, pNode->iFan1g, vLevels );
+ }
+
+ printf( ")" );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Bdc_SpfdPrint( Bdc_Nod_t * pNode, int Level, Vec_Ptr_t * vLevels, word Truth )
+{
+ word Diff = Truth ^ pNode->Truth;
+ Extra_PrintHex( stdout, (unsigned *)&pNode->Truth, 6 ); printf( " " );
+ Extra_PrintHex( stdout, (unsigned *)&Diff, 6 ); printf( " " );
+ Bdc_SpfdPrint_rec( pNode, Level, vLevels );
+ printf( " %d\n", pNode->Weight );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Bdc_SpfdDecompose( word Truth, int nVars, int nCands, int nGatesMax )
+{
+ int nSize = nCands * nCands * (nGatesMax + 1) * 5;
+ Vec_Ptr_t * vLevels;
+ Vec_Int_t * vBegs, * vWeight;
+ Bdc_Nod_t * pNode, * pNode0, * pNode1, * pNode2;
+ int Count0, Count1, * pPerm;
+ int i, j, k, c, n, clk;
+ assert( nGatesMax < (1<<8) );
+ assert( nCands < (1<<12) );
+ assert( (1<<(nVars-1))*(1<<(nVars-1)) < (1<<12) ); // max SPFD
+
+ printf( "Storage size = %d (%d * %d * %d * %d).\n", nSize, nCands, nCands, nGatesMax + 1, 5 );
+
+ printf( "SPFD = %d.\n", Bdc_CountOnes(Truth) * Bdc_CountOnes(~Truth) );
+
+ // consider elementary functions
+ if ( Truth == 0 || Truth == ~0 )
+ {
+ printf( "Function is a constant.\n" );
+ return;
+ }
+ for ( i = 0; i < nVars; i++ )
+ if ( Truth == Truths[i] || Truth == ~Truths[i] )
+ {
+ printf( "Function is an elementary variable.\n" );
+ return;
+ }
+
+ // allocate
+ vLevels = Vec_PtrAlloc( 100 );
+ vBegs = Vec_IntAlloc( 100 );
+ vWeight = Vec_IntAlloc( 100 );
+
+ // initialize elementary variables
+ pNode = ABC_CALLOC( Bdc_Nod_t, nVars );
+ for ( i = 0; i < nVars; i++ )
+ pNode[i].Truth = Truths[i];
+ for ( i = 0; i < nVars; i++ )
+ pNode[i].Weight = Bdc_CountSpfd( pNode[i].Truth, Truth );
+ Vec_PtrPush( vLevels, pNode );
+ Vec_IntPush( vBegs, nVars );
+
+ // the next level
+clk = clock();
+ pNode0 = pNode;
+ pNode = ABC_CALLOC( Bdc_Nod_t, 5 * nVars * (nVars - 1) / 2 );
+ for ( c = i = 0; i < nVars; i++ )
+ for ( j = i+1; j < nVars; j++ )
+ {
+ pNode[c].Truth = pNode0[i].Truth & pNode0[j].Truth; pNode[c].iFan0n = i; pNode[c].iFan1n = j; pNode[c++].Type = 0;
+ pNode[c].Truth = ~pNode0[i].Truth & pNode0[j].Truth; pNode[c].iFan0n = i; pNode[c].iFan1n = j; pNode[c++].Type = 1;
+ pNode[c].Truth = pNode0[i].Truth & ~pNode0[j].Truth; pNode[c].iFan0n = i; pNode[c].iFan1n = j; pNode[c++].Type = 2;
+ pNode[c].Truth = ~pNode0[i].Truth & ~pNode0[j].Truth; pNode[c].iFan0n = i; pNode[c].iFan1n = j; pNode[c++].Type = 3;
+ pNode[c].Truth = pNode0[i].Truth ^ pNode0[j].Truth; pNode[c].iFan0n = i; pNode[c].iFan1n = j; pNode[c++].Type = 4;
+ }
+ assert( c == 5 * nVars * (nVars - 1) / 2 );
+ Vec_PtrPush( vLevels, pNode );
+ Vec_IntPush( vBegs, c );
+ for ( i = 0; i < c; i++ )
+ {
+ pNode[i].Weight = Bdc_CountSpfd( pNode[i].Truth, Truth );
+//Bdc_SpfdPrint( pNode + i, 1, vLevels );
+ if ( Truth == pNode[i].Truth || Truth == ~pNode[i].Truth )
+ {
+ printf( "Function can be implemented using 1 gate.\n" );
+ pNode = NULL;
+ goto cleanup;
+ }
+ }
+printf( "Selected %6d gates on level %2d. ", c, 1 );
+Abc_PrintTime( 1, "Time", clock() - clk );
+
+
+ // iterate through levels
+ pNode = ABC_CALLOC( Bdc_Nod_t, nSize );
+ for ( n = 2; n <= nGatesMax; n++ )
+ {
+clk = clock();
+ c = 0;
+ pNode1 = (Bdc_Nod_t *)Vec_PtrEntry( vLevels, n-1 );
+ Count1 = Vec_IntEntry( vBegs, n-1 );
+ // go through previous levels
+ for ( k = 0; k < n-1; k++ )
+ {
+ pNode0 = (Bdc_Nod_t *)Vec_PtrEntry( vLevels, k );
+ Count0 = Vec_IntEntry( vBegs, k );
+ for ( i = 0; i < Count0; i++ )
+ for ( j = 0; j < Count1; j++ )
+ {
+ pNode[c].Truth = pNode0[i].Truth & pNode1[j].Truth; pNode[c].iFan0g = k; pNode[c].iFan1g = n-1; pNode[c].iFan0n = i; pNode[c].iFan1n = j; pNode[c++].Type = 0;
+ pNode[c].Truth = ~pNode0[i].Truth & pNode1[j].Truth; pNode[c].iFan0g = k; pNode[c].iFan1g = n-1; pNode[c].iFan0n = i; pNode[c].iFan1n = j; pNode[c++].Type = 1;
+ pNode[c].Truth = pNode0[i].Truth & ~pNode1[j].Truth; pNode[c].iFan0g = k; pNode[c].iFan1g = n-1; pNode[c].iFan0n = i; pNode[c].iFan1n = j; pNode[c++].Type = 2;
+ pNode[c].Truth = ~pNode0[i].Truth & ~pNode1[j].Truth; pNode[c].iFan0g = k; pNode[c].iFan1g = n-1; pNode[c].iFan0n = i; pNode[c].iFan1n = j; pNode[c++].Type = 3;
+ pNode[c].Truth = pNode0[i].Truth ^ pNode1[j].Truth; pNode[c].iFan0g = k; pNode[c].iFan1g = n-1; pNode[c].iFan0n = i; pNode[c].iFan1n = j; pNode[c++].Type = 4;
+ }
+ assert( c < nSize );
+ }
+ // go through current level
+ for ( i = 0; i < Count1; i++ )
+ for ( j = i+1; j < Count1; j++ )
+ {
+ pNode[c].Truth = pNode1[i].Truth & pNode1[j].Truth; pNode[c].iFan0g = n-1; pNode[c].iFan1g = n-1; pNode[c].iFan0n = i; pNode[c].iFan1n = j; pNode[c++].Type = 0;
+ pNode[c].Truth = ~pNode1[i].Truth & pNode1[j].Truth; pNode[c].iFan0g = n-1; pNode[c].iFan1g = n-1; pNode[c].iFan0n = i; pNode[c].iFan1n = j; pNode[c++].Type = 1;
+ pNode[c].Truth = pNode1[i].Truth & ~pNode1[j].Truth; pNode[c].iFan0g = n-1; pNode[c].iFan1g = n-1; pNode[c].iFan0n = i; pNode[c].iFan1n = j; pNode[c++].Type = 2;
+ pNode[c].Truth = ~pNode1[i].Truth & ~pNode1[j].Truth; pNode[c].iFan0g = n-1; pNode[c].iFan1g = n-1; pNode[c].iFan0n = i; pNode[c].iFan1n = j; pNode[c++].Type = 3;
+ pNode[c].Truth = pNode1[i].Truth ^ pNode1[j].Truth; pNode[c].iFan0g = n-1; pNode[c].iFan1g = n-1; pNode[c].iFan0n = i; pNode[c].iFan1n = j; pNode[c++].Type = 4;
+ }
+ assert( c < nSize );
+ // sort
+ Vec_IntClear( vWeight );
+ for ( i = 0; i < c; i++ )
+ {
+ pNode[i].Weight = Bdc_CountSpfd( pNode[i].Truth, Truth );
+if ( pNode[i].Weight > 300 )
+Bdc_SpfdPrint( pNode + i, 1, vLevels, Truth );
+ Vec_IntPush( vWeight, pNode[i].Weight );
+
+ if ( Truth == pNode[i].Truth || Truth == ~pNode[i].Truth )
+ {
+ printf( "Function can be implemented using %d gates.\n", n );
+ Bdc_SpfdPrint( pNode + i, n, vLevels, Truth );
+ goto cleanup;
+ }
+ }
+ pPerm = Abc_SortCost( Vec_IntArray(vWeight), c );
+ assert( Vec_IntEntry(vWeight, pPerm[0]) <= Vec_IntEntry(vWeight, pPerm[c-1]) );
+
+ printf( "Best SPFD = %d.\n", Vec_IntEntry(vWeight, pPerm[c-1]) );
+// for ( i = 0; i < c; i++ )
+//printf( "%d ", Vec_IntEntry(vWeight, pPerm[i]) );
+
+ // choose the best ones
+ pNode2 = ABC_CALLOC( Bdc_Nod_t, nCands );
+ for ( j = 0, i = c-1; i >= 0; i-- )
+ {
+ pNode2[j++] = pNode[pPerm[i]];
+ if ( j == nCands )
+ break;
+ }
+ ABC_FREE( pPerm );
+ Vec_PtrPush( vLevels, pNode2 );
+ Vec_IntPush( vBegs, j );
+
+printf( "Selected %6d gates (out of %6d) on level %2d. ", j, c, n );
+Abc_PrintTime( 1, "Time", clock() - clk );
+
+ for ( i = 0; i < 10; i++ )
+ Bdc_SpfdPrint( pNode2 + i, n, vLevels, Truth );
+ }
+
+cleanup:
+ ABC_FREE( pNode );
+ Vec_PtrForEachEntry( Bdc_Nod_t *, vLevels, pNode, i )
+ ABC_FREE( pNode );
+ Vec_PtrFree( vLevels );
+ Vec_IntFree( vBegs );
+ Vec_IntFree( vWeight );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Bdc_SpfdDecomposeTest_()
+{
+ int fTry = 0;
+// word T[17];
+// int i;
+
+// word Truth = Truths[0] & ~Truths[3];
+// word Truth = (Truths[0] & Truths[1]) | (Truths[2] & Truths[3]) | (Truths[4] & Truths[5]);
+// word Truth = (Truths[0] & Truths[1]) | ((Truths[2] & ~Truths[3]) ^ (Truths[4] & ~Truths[5]));
+// word Truth = (Truths[0] & Truths[1]) | (Truths[2] & Truths[3]);
+// word Truth = 0x9ef7a8d9c7193a0f; // AAFFAAFF0A0F0A0F
+// word Truth = 0x34080226CD163000;
+ word Truth = 0x5052585a0002080a;
+ int nVars = 6;
+ int nCands = 200;// 75;
+ int nGatesMax = 20;
+
+ if ( fTry )
+ Bdc_SpfdDecompose( Truth, nVars, nCands, nGatesMax );
+/*
+ for ( i = 0; i < 6; i++ )
+ T[i] = Truths[i];
+ T[7] = 0;
+ T[8] = ~T[1] & T[3];
+ T[9] = ~T[8] & T[0];
+ T[10] = T[1] & T[4];
+ T[11] = T[10] & T[2];
+ T[12] = T[11] & T[9];
+ T[13] = ~T[0] & T[5];
+ T[14] = T[2] & T[13];
+ T[15] = ~T[12] & ~T[14];
+ T[16] = ~T[15];
+// if ( T[16] != Truth )
+// printf( "Failed\n" );
+
+ for ( i = 0; i < 17; i++ )
+ {
+// printf( "%2d = %3d ", i, Bdc_CountSpfd(T[i], Truth) );
+ printf( "%2d = %3d ", i, Bdc_CountSpfd(T[i], T[16]) );
+ Extra_PrintBinary( stdout, (unsigned *)&T[i], 64 ); printf( "\n" );
+ }
+// Extra_PrintBinary( stdout, (unsigned *)&Truth, 64 ); printf( "\n" );
+*/
+}
+
+
+
+
+typedef struct Bdc_Ent_t_ Bdc_Ent_t; // 24 bytes
+struct Bdc_Ent_t_
+{
+ unsigned iFan0 : 29;
+ unsigned fCompl0 : 1;
+ unsigned fCompl : 1;
+ unsigned fMark0 : 1;
+ unsigned iFan1 : 29;
+ unsigned fCompl1 : 1;
+ unsigned fExor : 1;
+ unsigned fMark1 : 1;
+ int iNext;
+ int iList;
+ word Truth;
+};
+
+#define BDC_TERM 0x1FFFFFFF
+
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Bdc_SpfdMark0( Bdc_Ent_t * p, Bdc_Ent_t * pEnt )
+{
+ if ( pEnt->iFan0 == BDC_TERM )
+ return 0;
+ if ( pEnt->fMark0 )
+ return 0;
+ pEnt->fMark0 = 1;
+ return pEnt->fMark1 +
+ Bdc_SpfdMark0(p, p + pEnt->iFan0) +
+ Bdc_SpfdMark0(p, p + pEnt->iFan1);
+}
+int Bdc_SpfdMark1( Bdc_Ent_t * p, Bdc_Ent_t * pEnt )
+{
+ if ( pEnt->iFan0 == BDC_TERM )
+ return 0;
+ if ( pEnt->fMark1 )
+ return 0;
+ pEnt->fMark1 = 1;
+ return pEnt->fMark0 +
+ Bdc_SpfdMark1(p, p + pEnt->iFan0) +
+ Bdc_SpfdMark1(p, p + pEnt->iFan1);
+}
+void Bdc_SpfdUnmark0( Bdc_Ent_t * p, Bdc_Ent_t * pEnt )
+{
+ if ( pEnt->iFan0 == BDC_TERM )
+ return;
+ pEnt->fMark0 = 0;
+ Bdc_SpfdUnmark0( p, p + pEnt->iFan0 );
+ Bdc_SpfdUnmark0( p, p + pEnt->iFan1 );
+}
+void Bdc_SpfdUnmark1( Bdc_Ent_t * p, Bdc_Ent_t * pEnt )
+{
+ if ( pEnt->iFan0 == BDC_TERM )
+ return;
+ pEnt->fMark1 = 0;
+ Bdc_SpfdUnmark1( p, p + pEnt->iFan0 );
+ Bdc_SpfdUnmark1( p, p + pEnt->iFan1 );
+}
+
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Bdc_SpfdCheckOverlap( Bdc_Ent_t * p, Bdc_Ent_t * pEnt0, Bdc_Ent_t * pEnt1 )
+{
+ int RetValue;
+ RetValue = Bdc_SpfdMark0( p, pEnt0 );
+ assert( RetValue == 0 );
+ RetValue = Bdc_SpfdMark1( p, pEnt1 );
+ Bdc_SpfdUnmark0( p, pEnt0 );
+ Bdc_SpfdUnmark1( p, pEnt1 );
+ return RetValue;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Bdc_SpfdHashValue( word t, int Size )
+{
+ // http://planetmath.org/encyclopedia/GoodHashTablePrimes.html
+ // 53,
+ // 97,
+ // 193,
+ // 389,
+ // 769,
+ // 1543,
+ // 3079,
+ // 6151,
+ // 12289,
+ // 24593,
+ // 49157,
+ // 98317,
+ // 196613,
+ // 393241,
+ // 786433,
+ // 1572869,
+ // 3145739,
+ // 6291469,
+ // 12582917,
+ // 25165843,
+ // 50331653,
+ // 100663319,
+ // 201326611,
+ // 402653189,
+ // 805306457,
+ // 1610612741,
+ static unsigned BigPrimes[8] = {12582917, 25165843, 50331653, 100663319, 201326611, 402653189, 805306457, 1610612741};
+ unsigned char * s = (unsigned char *)&t;
+ unsigned i, Value = 0;
+ for ( i = 0; i < 8; i++ )
+ Value ^= BigPrimes[i] * s[i];
+ return Value % Size;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int * Bdc_SpfdHashLookup( Bdc_Ent_t * p, int Size, word t )
+{
+ Bdc_Ent_t * pBin = p + Bdc_SpfdHashValue( t, Size );
+ if ( pBin->iList == 0 )
+ return &pBin->iList;
+ for ( pBin = p + pBin->iList; ; pBin = p + pBin->iNext )
+ {
+ if ( pBin->Truth == t )
+ return NULL;
+ if ( pBin->iNext == 0 )
+ return &pBin->iNext;
+ }
+ assert( 0 );
+ return NULL;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Wrd_t * Bdc_SpfdDecomposeTest__( Vec_Int_t ** pvWeights )
+{
+// int nFuncs = 8000000; // the number of functions to compute
+// int nSize = 2777111; // the hash table size to use
+// int Limit = 6;
+
+// int nFuncs = 51000000; // the number of functions to compute
+// int nSize = 50331653; // the hash table size to use
+// int Limit = 6;
+
+ int nFuncs = 250000000; // the number of functions to compute
+ int nSize = 201326611; // the hash table size to use
+ int Limit = 6;
+
+ int * pPlace, i, n, m, k, s, fCompl, clk = clock(), clk2;
+ Vec_Int_t * vStops;
+ Vec_Wrd_t * vTruths;
+ Vec_Int_t * vWeights;
+ Bdc_Ent_t * p, * q, * pBeg0, * pEnd0, * pBeg1, * pEnd1, * pThis0, * pThis1;
+ word t0, t1, t;
+ assert( nSize <= nFuncs );
+
+ printf( "Allocating %.2f Mb of internal memory.\n", 1.0*sizeof(Bdc_Ent_t)*nFuncs/(1<<20) );
+
+ p = (Bdc_Ent_t *)calloc( nFuncs, sizeof(Bdc_Ent_t) );
+ memset( p, 255, sizeof(Bdc_Ent_t) );
+ p->iList = 0;
+ for ( q = p; q < p+nFuncs; q++ )
+ q->iList = 0;
+ q = p + 1;
+ printf( "Added %d + %d + 0 = %d. Total = %8d.\n", 0, 0, 0, q-p );
+
+ vTruths = Vec_WrdStart( nFuncs );
+ vWeights = Vec_IntStart( nFuncs );
+ Vec_WrdClear( vTruths );
+ Vec_IntClear( vWeights );
+
+ // create elementary vars
+ vStops = Vec_IntAlloc( 10 );
+ Vec_IntPush( vStops, 1 );
+ for ( i = 0; i < 6; i++ )
+ {
+ q->iFan0 = BDC_TERM;
+ q->iFan1 = i;
+ q->Truth = Truths[i];
+ pPlace = Bdc_SpfdHashLookup( p, nSize, q->Truth );
+ *pPlace = q-p;
+ q++;
+ Vec_WrdPush( vTruths, Truths[i] );
+ Vec_IntPush( vWeights, 0 );
+ }
+ Vec_IntPush( vStops, 7 );
+ printf( "Added %d + %d + 0 = %d. Total = %8d.\n", 0, 0, 0, q-p );
+
+ // create gates
+ for ( n = 0; n < Limit; n++ )
+ {
+ // try previous
+ for ( k = 0; k < Limit; k++ )
+ for ( m = 0; m < Limit; m++ )
+ {
+ if ( k + m != n || k > m )
+ continue;
+ // set the start and stop
+ pBeg0 = p + Vec_IntEntry( vStops, k );
+ pEnd0 = p + Vec_IntEntry( vStops, k+1 );
+ // set the start and stop
+ pBeg1 = p + Vec_IntEntry( vStops, m );
+ pEnd1 = p + Vec_IntEntry( vStops, m+1 );
+
+ clk2 = clock();
+ printf( "Trying %7d x %7d. ", pEnd0-pBeg0, pEnd1-pBeg1 );
+ for ( pThis0 = pBeg0; pThis0 < pEnd0; pThis0++ )
+ for ( pThis1 = pBeg1; pThis1 < pEnd1; pThis1++ )
+ if ( k < m || pThis1 > pThis0 )
+// if ( n < 5 || Bdc_SpfdCheckOverlap(p, pThis0, pThis1) )
+ for ( s = 0; s < 5; s++ )
+ {
+ t0 = (s&1) ? ~pThis0->Truth : pThis0->Truth;
+ t1 = ((s>>1)&1) ? ~pThis1->Truth : pThis1->Truth;
+ t = ((s>>2)&1) ? t0 ^ t1 : t0 & t1;
+ fCompl = t & 1;
+ if ( fCompl )
+ t = ~t;
+ if ( t == 0 )
+ continue;
+ pPlace = Bdc_SpfdHashLookup( p, nSize, t );
+ if ( pPlace == NULL )
+ continue;
+ q->iFan0 = pThis0-p;
+ q->fCompl0 = s&1;
+ q->iFan1 = pThis1-p;
+ q->fCompl1 = (s>>1)&1;
+ q->fExor = (s>>2)&1;
+ q->Truth = t;
+ q->fCompl = fCompl;
+ *pPlace = q-p;
+ q++;
+ Vec_WrdPush( vTruths, t );
+// Vec_IntPush( vWeights, n == 5 ? n : n+1 );
+ Vec_IntPush( vWeights, n+1 );
+ if ( q-p == nFuncs )
+ {
+ printf( "Reached limit of %d functions.\n", nFuncs );
+ goto finish;
+ }
+ }
+ printf( "Added %d + %d + 1 = %d. Total = %8d. ", k, m, n+1, q-p );
+ Abc_PrintTime( 1, "Time", clock() - clk2 );
+ }
+ Vec_IntPush( vStops, q-p );
+ }
+ Abc_PrintTime( 1, "Time", clock() - clk );
+
+
+ {
+ FILE * pFile = fopen( "func6v6n_bin.txt", "wb" );
+ fwrite( Vec_WrdArray(vTruths), sizeof(word), Vec_WrdSize(vTruths), pFile );
+ fclose( pFile );
+ }
+ {
+ FILE * pFile = fopen( "func6v6nW_bin.txt", "wb" );
+ fwrite( Vec_IntArray(vWeights), sizeof(int), Vec_IntSize(vWeights), pFile );
+ fclose( pFile );
+ }
+
+
+finish:
+ Vec_IntFree( vStops );
+ free( p );
+
+ *pvWeights = vWeights;
+// Vec_WrdFree( vTruths );
+ return vTruths;
+}
+
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Wrd_t * Bdc_SpfdReadFiles5( Vec_Int_t ** pvWeights )
+{
+ Vec_Int_t * vWeights;
+ Vec_Wrd_t * vDivs;
+ FILE * pFile;
+
+ vDivs = Vec_WrdStart( 3863759 );
+ pFile = fopen( "func6v5n_bin.txt", "rb" );
+ fread( Vec_WrdArray(vDivs), sizeof(word), Vec_WrdSize(vDivs), pFile );
+ fclose( pFile );
+
+ vWeights = Vec_IntStart( 3863759 );
+ pFile = fopen( "func6v5nW_bin.txt", "rb" );
+ fread( Vec_IntArray(vWeights), sizeof(int), Vec_IntSize(vWeights), pFile );
+ fclose( pFile );
+
+ *pvWeights = vWeights;
+ return vDivs;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Vec_Wrd_t * Bdc_SpfdReadFiles6( Vec_Int_t ** pvWeights )
+{
+ Vec_Int_t * vWeights;
+ Vec_Wrd_t * vDivs = Vec_WrdStart( 12776759 );
+ FILE * pFile = fopen( "func6v6n_bin.txt", "rb" );
+ fread( Vec_WrdArray(vDivs), sizeof(word), Vec_WrdSize(vDivs), pFile );
+ fclose( pFile );
+
+ vWeights = Vec_IntStart( 12776759 );
+ pFile = fopen( "func6v6nW_bin.txt", "rb" );
+ fread( Vec_IntArray(vWeights), sizeof(int), Vec_IntSize(vWeights), pFile );
+ fclose( pFile );
+
+ *pvWeights = vWeights;
+ return vDivs;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Bdc_SpfdComputeCost( word f, int i, Vec_Int_t * vWeights )
+{
+ int Ones = Bdc_CountOnes(f);
+ if ( Ones == 0 )
+ return -1;
+ return 7*Ones + 10*(8 - Vec_IntEntry(vWeights, i));
+// return Bdc_CountOnes(f);
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+word Bdc_SpfdFindBest( Vec_Wrd_t * vDivs, Vec_Int_t * vWeights, word F0, word F1, int * pCost )
+{
+ word Func, FuncBest;
+ int i, Cost, CostBest = -1, NumBest;
+ Vec_WrdForEachEntry( vDivs, Func, i )
+ {
+ if ( (Func & F0) == 0 )
+ {
+ Cost = Bdc_SpfdComputeCost(Func & F1, i, vWeights);
+ if ( CostBest < Cost )
+ {
+ CostBest = Cost;
+ FuncBest = Func;
+ NumBest = i;
+ }
+ }
+ if ( (Func & F1) == 0 )
+ {
+ Cost = Bdc_SpfdComputeCost(Func & F0, i, vWeights);
+ if ( CostBest < Cost )
+ {
+ CostBest = Cost;
+ FuncBest = Func;
+ NumBest = i;
+ }
+ }
+ if ( (~Func & F0) == 0 )
+ {
+ Cost = Bdc_SpfdComputeCost(~Func & F1, i, vWeights);
+ if ( CostBest < Cost )
+ {
+ CostBest = Cost;
+ FuncBest = ~Func;
+ NumBest = i;
+ }
+ }
+ if ( (~Func & F1) == 0 )
+ {
+ Cost = Bdc_SpfdComputeCost(~Func & F0, i, vWeights);
+ if ( CostBest < Cost )
+ {
+ CostBest = Cost;
+ FuncBest = ~Func;
+ NumBest = i;
+ }
+ }
+ }
+ (*pCost) += Vec_IntEntry(vWeights, NumBest);
+ assert( CostBest > 0 );
+ printf( "Selected %8d with cost %2d and weight %d: ", NumBest, 0, Vec_IntEntry(vWeights, NumBest) );
+ Extra_PrintHex( stdout, (unsigned *)&FuncBest, 6 ); printf( "\n" );
+ return FuncBest;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Bdc_SpfdDecomposeTestOne( word t, Vec_Wrd_t * vDivs, Vec_Int_t * vWeights )
+{
+ word F1 = t;
+ word F0 = ~F1;
+ word Func;
+ int i, Cost = 0;
+ printf( "Trying: " );
+ Extra_PrintHex( stdout, (unsigned *)&t, 6 ); printf( "\n" );
+// Abc_Show6VarFunc( F0, F1 );
+ for ( i = 0; F0 && F1; i++ )
+ {
+ printf( "*** ITER %2d ", i );
+ Func = Bdc_SpfdFindBest( vDivs, vWeights, F0, F1, &Cost );
+ F0 &= ~Func;
+ F1 &= ~Func;
+// Abc_Show6VarFunc( F0, F1 );
+ }
+ Cost += (i-1);
+ printf( "Produce solution with cost %2d (with adj cost %4d).\n", Cost, Bdc_SpfdAdjCost(t) );
+ return Cost;
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Bdc_SpfdDecomposeTest44()
+{
+// word t = 0x5052585a0002080a;
+
+ word t = 0x9ef7a8d9c7193a0f;
+// word t = 0x6BFDA276C7193A0F;
+// word t = 0xA3756AFE0B1DF60B;
+
+// word t = 0xFEF7AEBFCE80AA0F;
+// word t = 0x9EF7FDBFC77F6F0F;
+// word t = 0xDEF7FDFF377F6FFF;
+
+// word t = 0x345D02736DB390A5; // xor with var 0
+
+// word t = 0x3EFDA2736D139A0F; // best solution after changes
+
+ Vec_Int_t * vWeights;
+ Vec_Wrd_t * vDivs;
+ word c0, c1, s, tt, tbest;
+ int i, j, Cost, CostBest = 100000;
+ int clk = clock();
+
+ return;
+
+// printf( "%d\n", RAND_MAX );
+
+ vDivs = Bdc_SpfdDecomposeTest__( &vWeights );
+// vDivs = Bdc_SpfdReadFiles5( &vWeights );
+
+// Abc_Show6VarFunc( ~t, t );
+
+ // try function
+ tt = t;
+ Cost = Bdc_SpfdDecomposeTestOne( tt, vDivs, vWeights );
+ if ( CostBest > Cost )
+ {
+ CostBest = Cost;
+ tbest = tt;
+ }
+ printf( "\n" );
+
+ // try complemented output
+ for ( i = 0; i < 6; i++ )
+ {
+ tt = t ^ Truths[i];
+ Cost = Bdc_SpfdDecomposeTestOne( tt, vDivs, vWeights );
+ if ( CostBest > Cost )
+ {
+ CostBest = Cost;
+ tbest = tt;
+ }
+ }
+ printf( "\n" );
+
+ // try complemented input
+ for ( i = 0; i < 6; i++ )
+ for ( j = 0; j < 6; j++ )
+ {
+ if ( i == j )
+ continue;
+ c0 = Bdc_Cof6( t, i, 0 );
+ c1 = Bdc_Cof6( t, i, 1 );
+ s = Truths[i] ^ Truths[j];
+ tt = (~s & c0) | (s & c1);
+
+ Cost = Bdc_SpfdDecomposeTestOne( tt, vDivs, vWeights );
+ if ( CostBest > Cost )
+ {
+ CostBest = Cost;
+ tbest = tt;
+ }
+ }
+
+/*
+ for ( i = 0; i < 6; i++ )
+ for ( j = 0; j < 6; j++ )
+ {
+ if ( i == j )
+ continue;
+ c0 = Bdc_Cof6( t, i, 0 );
+ c1 = Bdc_Cof6( t, i, 1 );
+ s = Truths[i] ^ Truths[j];
+ tt = (~s & c0) | (s & c1);
+
+ for ( k = 0; k < 6; k++ )
+ for ( n = 0; n < 6; n++ )
+ {
+ if ( k == n )
+ continue;
+ c0 = Bdc_Cof6( tt, k, 0 );
+ c1 = Bdc_Cof6( tt, k, 1 );
+ s = Truths[k] ^ Truths[n];
+ ttt= (~s & c0) | (s & c1);
+
+ Cost = Bdc_SpfdDecomposeTestOne( ttt, vDivs, vWeights );
+ if ( CostBest > Cost )
+ {
+ CostBest = Cost;
+ tbest = ttt;
+ }
+ }
+ }
+*/
+
+ printf( "Best solution found with cost %d. ", CostBest );
+ Extra_PrintHex( stdout, (unsigned *)&tbest, 6 ); //printf( "\n" );
+ Abc_PrintTime( 1, " Time", clock() - clk );
+
+ Vec_WrdFree( vDivs );
+ Vec_IntFree( vWeights );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Bdc_SpfdDecomposeTest3()
+{
+ int nSizeM = (1 << 26);
+ int nSizeK = (1 << 3);
+ Vec_Wrd_t * v1M;
+ Vec_Wrd_t * v1K;
+ int i, k, Counter, clk;
+// int EntryM, EntryK;
+ Aig_ManRandom64( 1 );
+
+ v1M = Vec_WrdAlloc( nSizeM );
+ for ( i = 0; i < nSizeM; i++ )
+ Vec_WrdPush( v1M, Aig_ManRandom64(0) );
+
+ v1K = Vec_WrdAlloc( nSizeK );
+ for ( i = 0; i < nSizeK; i++ )
+ Vec_WrdPush( v1K, Aig_ManRandom64(0) );
+
+ clk = clock();
+ Counter = 0;
+ for ( i = 0; i < nSizeM; i++ )
+ for ( k = 0; k < nSizeK; k++ )
+ Counter += ((v1M->pArray[i] & v1K->pArray[k]) == v1K->pArray[k]);
+// Vec_WrdForEachEntry( v1M, EntryM, i )
+// Vec_WrdForEachEntry( v1K, EntryK, k )
+// Counter += ((EntryM & EntryK) == EntryK);
+
+ printf( "Total = %8d. ", Counter );
+ Abc_PrintTime( 1, "Time", clock() - clk );
+
+ clk = clock();
+ Counter = 0;
+ for ( k = 0; k < nSizeK; k++ )
+ for ( i = 0; i < nSizeM; i++ )
+ Counter += ((v1M->pArray[i] & v1K->pArray[k]) == v1K->pArray[k]);
+ printf( "Total = %8d. ", Counter );
+ Abc_PrintTime( 1, "Time", clock() - clk );
+
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Bdc_SpfdDecomposeTest8()
+{
+// word t = 0x9ef7a8d9c7193a0f;
+// word t = 0x9EF7FDBFC77F6F0F;
+ word t = 0x513B57150819050F;
+
+ Vec_Int_t * vWeights;
+ Vec_Wrd_t * vDivs;
+ word Func, FuncBest;
+ int Cost, CostBest = ABC_INFINITY;
+ int i, clk = clock();
+
+// return;
+
+ vDivs = Bdc_SpfdReadFiles5( &vWeights );
+
+ printf( "Best init = %4d. ", Bdc_SpfdAdjCost(t) );
+ Extra_PrintHex( stdout, (unsigned *)&t, 6 ); //printf( "\n" );
+ Abc_PrintTime( 1, " Time", clock() - clk );
+
+ Vec_WrdForEachEntry( vDivs, Func, i )
+ {
+ Cost = Bdc_SpfdAdjCost( t ^ Func );
+ if ( CostBest > Cost )
+ {
+ CostBest = Cost;
+ FuncBest = Func;
+ }
+ }
+
+ printf( "Best cost = %4d. ", CostBest );
+ Extra_PrintHex( stdout, (unsigned *)&FuncBest, 6 ); //printf( "\n" );
+ Abc_PrintTime( 1, " Time", clock() - clk );
+
+Abc_Show6VarFunc( 0, t );
+Abc_Show6VarFunc( 0, FuncBest );
+Abc_Show6VarFunc( 0, (FuncBest ^ t) );
+
+ FuncBest ^= t;
+ Extra_PrintHex( stdout, (unsigned *)&FuncBest, 6 ); printf( "\n" );
+
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Bdc_SpfdDecomposeTest()
+{
+ int nSizeM = (1 << 26); // big array size
+ int nSizeK = (1 << 3); // small array size
+ Vec_Wrd_t * v1M, * v1K;
+ int EntryM, EntryK;
+ int i, k, Counter, clk;
+
+ Aig_ManRandom64( 1 );
+
+ v1M = Vec_WrdAlloc( nSizeM );
+ for ( i = 0; i < nSizeM; i++ )
+ Vec_WrdPush( v1M, Aig_ManRandom64(0) );
+
+ v1K = Vec_WrdAlloc( nSizeK );
+ for ( i = 0; i < nSizeK; i++ )
+ Vec_WrdPush( v1K, Aig_ManRandom64(0) );
+
+ clk = clock();
+ Counter = 0;
+// for ( i = 0; i < nSizeM; i++ )
+// for ( k = 0; k < nSizeK; k++ )
+// Counter += ((v1M->pArray[i] & v1K->pArray[k]) == v1K->pArray[k]);
+ Vec_WrdForEachEntry( v1M, EntryM, i )
+ Vec_WrdForEachEntry( v1K, EntryK, k )
+ Counter += ((EntryM & EntryK) == EntryK);
+ printf( "Total = %8d. ", Counter );
+ Abc_PrintTime( 1, "Time", clock() - clk );
+
+ clk = clock();
+ Counter = 0;
+// for ( k = 0; k < nSizeK; k++ )
+// for ( i = 0; i < nSizeM; i++ )
+// Counter += ((v1M->pArray[i] & v1K->pArray[k]) == v1K->pArray[k]);
+ Vec_WrdForEachEntry( v1K, EntryK, k )
+ Vec_WrdForEachEntry( v1M, EntryM, i )
+ Counter += ((EntryM & EntryK) == EntryK);
+ printf( "Total = %8d. ", Counter );
+ Abc_PrintTime( 1, "Time", clock() - clk );
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
+ABC_NAMESPACE_IMPL_END
+