/**CFile**************************************************************** FileName [wlc.c] SystemName [ABC: Logic synthesis and verification system.] PackageName [Verilog parser.] Synopsis [Parses several flavors of word-level Verilog.] Author [Alan Mishchenko] Affiliation [UC Berkeley] Date [Ver. 1.0. Started - August 22, 2014.] Revision [$Id: wlc.c,v 1.00 2014/09/12 00:00:00 alanmi Exp $] ***********************************************************************/ #include "wlc.h" #include "sat/bsat/satStore.h" ABC_NAMESPACE_IMPL_START //////////////////////////////////////////////////////////////////////// /// DECLARATIONS /// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// /// FUNCTION DEFINITIONS /// //////////////////////////////////////////////////////////////////////// /**Function************************************************************* Synopsis [] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ void Wlc_GenerateCodeMax4( int nBits ) { int nWidth, nSteps, i; FILE * pFile = fopen( "max4.v", "wb" ); if ( pFile == NULL ) return; for ( nSteps = 0, nWidth = 1; nWidth < nBits; nWidth *= 3, nSteps++ ); fprintf( pFile, "module max4 ( a, b, c, d, res, addr );\n\n" ); fprintf( pFile, " input [%d:0] a, b, c, d;\n", nBits-1 ); fprintf( pFile, " output [%d:0] res;\n", nBits-1 ); fprintf( pFile, " output [1:0] addr;\n\n" ); fprintf( pFile, " wire [%d:0] A = a;\n", nWidth-1 ); fprintf( pFile, " wire [%d:0] B = b;\n", nWidth-1 ); fprintf( pFile, " wire [%d:0] C = c;\n", nWidth-1 ); fprintf( pFile, " wire [%d:0] D = d;\n\n", nWidth-1 ); fprintf( pFile, " wire AB, AC, AD, BC, BD, CD;\n\n" ); fprintf( pFile, " comp( A, B, AB );\n" ); fprintf( pFile, " comp( A, C, AC );\n" ); fprintf( pFile, " comp( A, D, AD );\n" ); fprintf( pFile, " comp( B, C, BC );\n" ); fprintf( pFile, " comp( B, D, BD );\n" ); fprintf( pFile, " comp( C, D, CD );\n\n" ); fprintf( pFile, " assign addr = AB ? (CD ? (AC ? 2\'b00 : 2\'b10) : (AD ? 2\'b00 : 2\'b11)) : (CD ? (BC ? 2\'b01 : 2\'b10) : (BD ? 2\'b01 : 2\'b11));\n\n" ); fprintf( pFile, " assign res = addr[1] ? (addr[1] ? d : c) : (addr[0] ? b : a);\n\n" ); fprintf( pFile, "endmodule\n\n\n" ); fprintf( pFile, "module comp ( a, b, res );\n\n" ); fprintf( pFile, " input [%d:0] a, b;\n", nWidth-1 ); fprintf( pFile, " output res;\n" ); fprintf( pFile, " wire res2;\n\n" ); fprintf( pFile, " wire [%d:0] A = a & ~b;\n", nWidth-1 ); fprintf( pFile, " wire [%d:0] B = ~a & b;\n\n", nWidth-1 ); fprintf( pFile, " comp0( A, B, res, res2 );\n\n" ); fprintf( pFile, "endmodule\n\n\n" ); for ( i = 0; i < nSteps; i++ ) { fprintf( pFile, "module comp%d ( a, b, yes, no );\n\n", i ); fprintf( pFile, " input [%d:0] a, b;\n", nWidth-1 ); fprintf( pFile, " output yes, no;\n\n", nWidth/3-1 ); fprintf( pFile, " wire [2:0] y, n;\n\n" ); if ( i == nSteps - 1 ) { fprintf( pFile, " assign y = a;\n" ); fprintf( pFile, " assign n = b;\n\n" ); } else { fprintf( pFile, " wire [%d:0] A0 = a[%d:%d];\n", nWidth/3-1, nWidth/3-1, 0 ); fprintf( pFile, " wire [%d:0] A1 = a[%d:%d];\n", nWidth/3-1, 2*nWidth/3-1, nWidth/3 ); fprintf( pFile, " wire [%d:0] A2 = a[%d:%d];\n\n", nWidth/3-1, nWidth-1, 2*nWidth/3 ); fprintf( pFile, " wire [%d:0] B0 = b[%d:%d];\n", nWidth/3-1, nWidth/3-1, 0 ); fprintf( pFile, " wire [%d:0] B1 = b[%d:%d];\n", nWidth/3-1, 2*nWidth/3-1, nWidth/3 ); fprintf( pFile, " wire [%d:0] B2 = b[%d:%d];\n\n", nWidth/3-1, nWidth-1, 2*nWidth/3 ); fprintf( pFile, " comp%d( A0, B0, y[0], n[0] );\n", i+1 ); fprintf( pFile, " comp%d( A1, B1, y[1], n[1] );\n", i+1 ); fprintf( pFile, " comp%d( A2, B2, y[2], n[2] );\n\n", i+1 ); } fprintf( pFile, " assign yes = y[0] | (~y[0] & ~n[0] & y[1]) | (~y[0] & ~n[0] & ~y[1] & ~n[1] & y[2]);\n" ); fprintf( pFile, " assign no = n[0] | (~y[0] & ~n[0] & n[1]) | (~y[0] & ~n[0] & ~y[1] & ~n[1] & n[2]);\n\n" ); fprintf( pFile, "endmodule\n\n\n" ); nWidth /= 3; } fclose( pFile ); } /**Function************************************************************* Synopsis [] Description [] SideEffects [] SeeAlso [] ***********************************************************************/ void Wlc_BlastFullAdderCtrlCnf( sat_solver * pSat, int a, int ac, int b, int c, int * pc, int * ps, int * piVars ) { int Cnf[12][6] = { // xabc cs // abc cs { -1, 0, 0, 0, 0, 0 }, // -000 00 // 000 00 { -1, 0, 0, 1, 0, 1 }, // -001 01 // 001 01 { -1, 0, 1, 0, 0, 1 }, // -010 01 // 010 01 { -1, 0, 1, 1, 1, 0 }, // -011 10 // 011 10 { 0,-1, 0, 0, 0, 0 }, // 0-00 00 { 0,-1, 0, 1, 0, 1 }, // 0-01 01 { 0,-1, 1, 0, 0, 1 }, // 0-10 01 { 0,-1, 1, 1, 1, 0 }, // 0-11 10 { 1, 1, 0, 0, 0, 1 }, // 1100 01 // 100 01 { 1, 1, 0, 1, 1, 0 }, // 1101 10 // 101 10 { 1, 1, 1, 0, 1, 0 }, // 1110 10 // 110 10 { 1, 1, 1, 1, 1, 1 } // 1111 11 // 111 11 }; int pVars[6] = {a, ac, b, c, *piVars, *piVars+1}; int i, v, nLits, pLits[6]; for ( i = 0; i < 12; i++ ) { nLits = 0; for ( v = 0; v < 6; v++ ) { if ( Cnf[i][v] == -1 ) continue; if ( pVars[v] == 0 ) // const 0 { if ( Cnf[i][v] == 0 ) continue; if ( Cnf[i][v] == 1 ) break; } if ( pVars[v] == -1 ) // const -1 { if ( Cnf[i][v] == 0 ) break; if ( Cnf[i][v] == 1 ) continue; } pLits[nLits++] = Abc_Var2Lit( pVars[v], Cnf[i][v] ); } if ( v < 6 ) continue; assert( nLits > 2 ); sat_solver_addclause( pSat, pLits, pLits + nLits ); } *pc = (*piVars)++; *ps = (*piVars)++; } void Wlc_BlastMultiplierCnf( sat_solver * pSat, int * pArgA, int * pArgB, int nArgA, int nArgB, Vec_Int_t * vTemp, Vec_Int_t * vRes, int * piVars ) { int * pRes, * pArgC, * pArgS, a, b, Carry = 0; assert( nArgA > 0 && nArgB > 0 ); // prepare result Vec_IntFill( vRes, nArgA + nArgB, 0 ); pRes = Vec_IntArray( vRes ); // prepare intermediate storage Vec_IntFill( vTemp, 2 * nArgA, 0 ); pArgC = Vec_IntArray( vTemp ); pArgS = pArgC + nArgA; // create matrix for ( b = 0; b < nArgB; b++ ) for ( a = 0; a < nArgA; a++ ) Wlc_BlastFullAdderCtrlCnf( pSat, pArgA[a], pArgB[b], pArgS[a], pArgC[a], &pArgC[a], a ? &pArgS[a-1] : &pRes[b], piVars ); // final addition pArgS[nArgA-1] = 0; for ( a = 0; a < nArgA; a++ ) Wlc_BlastFullAdderCtrlCnf( pSat, -1, pArgC[a], pArgS[a], Carry, &Carry, &pRes[nArgB+a], piVars ); } sat_solver * Wlc_BlastMultiplierCnfMain( int nBits ) { Vec_Int_t * vRes1 = Vec_IntAlloc( 2*nBits ); Vec_Int_t * vRes2 = Vec_IntAlloc( 2*nBits ); Vec_Int_t * vTemp = Vec_IntAlloc( 2*nBits ); int * pArgA = ABC_ALLOC( int, nBits ); int * pArgB = ABC_ALLOC( int, nBits ); int i, Ent1, Ent2, nVars = 1 + 2*nBits; int nVarsAll = 1 + 4*nBits + 4*nBits*(nBits + 1); sat_solver * pSat = sat_solver_new(); sat_solver_setnvars( pSat, nVarsAll ); for ( i = 0; i < nBits; i++ ) pArgA[i] = 1 + i, pArgB[i] = 1 + nBits + i; Wlc_BlastMultiplierCnf( pSat, pArgA, pArgB, nBits, nBits, vTemp, vRes1, &nVars ); for ( i = 0; i < nBits; i++ ) pArgA[i] = 1 + nBits + i, pArgB[i] = 1 + i; Wlc_BlastMultiplierCnf( pSat, pArgA, pArgB, nBits, nBits, vTemp, vRes2, &nVars ); Vec_IntClear( vTemp ); Vec_IntForEachEntryTwo( vRes1, vRes2, Ent1, Ent2, i ) { Vec_IntPush( vTemp, Abc_Var2Lit(nVars, 0) ); sat_solver_add_xor( pSat, Ent1, Ent2, nVars++, 0 ); } assert( nVars == nVarsAll ); sat_solver_addclause( pSat, Vec_IntArray(vTemp), Vec_IntLimit(vTemp) ); ABC_FREE( pArgA ); ABC_FREE( pArgB ); Vec_IntFree( vRes1 ); Vec_IntFree( vRes2 ); Vec_IntFree( vTemp ); return pSat; } void Wlc_BlastMultiplierCnfTest( int nBits ) { abctime clk = Abc_Clock(); sat_solver * pSat = Wlc_BlastMultiplierCnfMain( nBits ); int i, status = sat_solver_solve( pSat, NULL, NULL, 0, 0, 0, 0 ); Sat_SolverWriteDimacs( pSat, "test_mult.cnf", NULL, NULL, 0 ); for ( i = 0; i < sat_solver_nvars(pSat); i++ ) printf( "%d=%d ", i, sat_solver_var_value(pSat, i) ); printf( "\n" ); printf( "Verifying for %d bits: %s ", nBits, status == l_True ? "SAT" : "UNSAT" ); Abc_PrintTime( 1, "Time", Abc_Clock() - clk ); sat_solver_delete( pSat ); } //////////////////////////////////////////////////////////////////////// /// END OF FILE /// //////////////////////////////////////////////////////////////////////// ABC_NAMESPACE_IMPL_END