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authorAlan Mishchenko <alanmi@berkeley.edu>2007-09-30 08:01:00 -0700
committerAlan Mishchenko <alanmi@berkeley.edu>2007-09-30 08:01:00 -0700
commite54d9691616b9a0326e2fdb3156bb4eeb8abfcd7 (patch)
treede3ffe87c3e17950351e3b7d97fa18318bd5ea9a /abc70930/src/bdd/cas/casDec.c
parent7d7e60f2dc84393cd4c5db22d2eaf7b1fb1a79b2 (diff)
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Version abc70930
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diff --git a/abc70930/src/bdd/cas/casDec.c b/abc70930/src/bdd/cas/casDec.c
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+/**CFile****************************************************************
+
+ FileName [casDec.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [CASCADE: Decomposition of shared BDDs into a LUT cascade.]
+
+ Synopsis [BDD-based decomposition with encoding.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - Spring 2002.]
+
+ Revision [$Id: casDec.c,v 1.0 2002/01/01 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include <stdio.h>
+#include <string.h>
+#include <stdlib.h>
+#include <time.h>
+
+#include "extra.h"
+#include "cas.h"
+
+////////////////////////////////////////////////////////////////////////
+/// type definitions ///
+////////////////////////////////////////////////////////////////////////
+
+typedef struct
+{
+ int nIns; // the number of LUT variables
+ int nInsP; // the number of inputs coming from the previous LUT
+ int nCols; // the number of columns in this LUT
+ int nMulti; // the column multiplicity, [log2(nCols)]
+ int nSimple; // the number of outputs implemented as direct connections to inputs of the previous block
+ int Level; // the starting level in the ADD in this LUT
+
+// DdNode ** pbVarsIn[32]; // the BDDs of the elementary input variables
+// DdNode ** pbVarsOut[32]; // the BDDs of the elementary output variables
+
+// char * pNamesIn[32]; // the names of input variables
+// char * pNamesOut[32]; // the names of output variables
+
+ DdNode ** pbCols; // the array of columns represented by BDDs
+ DdNode ** pbCodes; // the array of codes (in terms of pbVarsOut)
+ DdNode ** paNodes; // the array of starting ADD nodes on the next level (also referenced)
+
+ DdNode * bRelation; // the relation after encoding
+
+ // the relation depends on the three groups of variables:
+ // (1) variables on top represent the outputs of the previous cascade
+ // (2) variables in the middle represent the primary inputs
+ // (3) variables below (CVars) represent the codes
+ //
+ // the replacement is done after computing the relation
+} LUT;
+
+
+////////////////////////////////////////////////////////////////////////
+/// static functions ///
+////////////////////////////////////////////////////////////////////////
+
+// the LUT-2-BLIF writing function
+void WriteLUTSintoBLIFfile( FILE * pFile, DdManager * dd, LUT ** pLuts, int nLuts, DdNode ** bCVars, char ** pNames, int nNames, char * FileName );
+
+// the function to write a DD (BDD or ADD) as a network of MUXES
+extern void WriteDDintoBLIFfile( FILE * pFile, DdNode * Func, char * OutputName, char * Prefix, char ** InputNames );
+extern void WriteDDintoBLIFfileReorder( DdManager * dd, FILE * pFile, DdNode * Func, char * OutputName, char * Prefix, char ** InputNames );
+
+////////////////////////////////////////////////////////////////////////
+/// static varibles ///
+////////////////////////////////////////////////////////////////////////
+
+static int s_LutSize = 15;
+static int s_nFuncVars;
+
+long s_EncodingTime;
+
+long s_EncSearchTime;
+long s_EncComputeTime;
+
+////////////////////////////////////
+// temporary output variables
+//FILE * pTable;
+//long s_ReadingTime;
+//long s_RemappingTime;
+////////////////////////////////////
+
+////////////////////////////////////////////////////////////////////////
+/// debugging macros ///
+////////////////////////////////////////////////////////////////////////
+
+#define PRB(f) printf( #f " = " ); Cudd_bddPrint(dd,f); printf( "\n" )
+#define PRK(f,n) Cudd_PrintKMap(stdout,dd,(f),Cudd_Not(f),(n),NULL,0); printf( "K-map for function" #f "\n\n" )
+#define PRK2(f,g,n) Cudd_PrintKMap(stdout,dd,(f),(g),(n),NULL,0); printf( "K-map for function <" #f ", " #g ">\n\n" )
+
+
+////////////////////////////////////////////////////////////////////////
+/// EXTERNAL FUNCTIONS ///
+////////////////////////////////////////////////////////////////////////
+
+int CreateDecomposedNetwork( DdManager * dd, DdNode * aFunc, char ** pNames, int nNames, char * FileName, int nLutSize, int fCheck, int fVerbose )
+// aFunc is a 0-1 ADD for the given function
+// pNames (nNames) are the input variable names
+// FileName is the name of the output file for the LUT network
+// dynamic variable reordering should be disabled when this function is running
+{
+ static LUT * pLuts[MAXINPUTS]; // the LUT cascade
+ static int Profile[MAXINPUTS]; // the profile filled in with the info about the BDD width
+ static int Permute[MAXINPUTS]; // the array to store a temporary permutation of variables
+
+ LUT * p; // the current LUT
+ int i, v;
+
+ DdNode * bCVars[32]; // these are variables for the codes
+
+ int nVarsRem; // the number of remaining variables
+ int PrevMulti; // column multiplicity on the previous level
+ int fLastLut; // flag to signal the last LUT
+ int nLuts;
+ int nLutsTotal = 0;
+ int nLutOutputs = 0;
+ int nLutOutputsOrig = 0;
+
+ long clk1;
+
+ s_LutSize = nLutSize;
+
+ s_nFuncVars = nNames;
+
+ // get the profile
+ clk1 = clock();
+ Extra_ProfileWidth( dd, aFunc, Profile, -1 );
+
+
+// for ( v = 0; v < nNames; v++ )
+// printf( "Level = %2d, Width = %2d\n", v+1, Profile[v] );
+
+
+//printf( "\n" );
+
+ // mark-up the LUTs
+ // assuming that the manager has exactly nNames vars (new vars have not been introduced yet)
+ nVarsRem = nNames; // the number of remaining variables
+ PrevMulti = 0; // column multiplicity on the previous level
+ fLastLut = 0;
+ nLuts = 0;
+ do
+ {
+ p = (LUT*) malloc( sizeof(LUT) );
+ memset( p, 0, sizeof(LUT) );
+
+ if ( nVarsRem + PrevMulti <= s_LutSize ) // this is the last LUT
+ {
+ p->nIns = nVarsRem + PrevMulti;
+ p->nInsP = PrevMulti;
+ p->nCols = 2;
+ p->nMulti = 1;
+ p->Level = nNames-nVarsRem;
+
+ nVarsRem = 0;
+ PrevMulti = 1;
+
+ fLastLut = 1;
+ }
+ else // this is not the last LUT
+ {
+ p->nIns = s_LutSize;
+ p->nInsP = PrevMulti;
+ p->nCols = Profile[nNames-(nVarsRem-(s_LutSize-PrevMulti))];
+ p->nMulti = Extra_Base2Log(p->nCols);
+ p->Level = nNames-nVarsRem;
+
+ nVarsRem = nVarsRem-(s_LutSize-PrevMulti);
+ PrevMulti = p->nMulti;
+ }
+
+ if ( p->nMulti >= s_LutSize )
+ {
+ printf( "The LUT size is too small\n" );
+ return 0;
+ }
+
+ nLutOutputsOrig += p->nMulti;
+
+
+//if ( fVerbose )
+//printf( "Stage %2d: In = %3d, InP = %3d, Cols = %5d, Multi = %2d, Level = %2d\n",
+// nLuts+1, p->nIns, p->nInsP, p->nCols, p->nMulti, p->Level );
+
+
+ // there should be as many columns, codes, and nodes, as there are columns on this level
+ p->pbCols = (DdNode **) malloc( p->nCols * sizeof(DdNode *) );
+ p->pbCodes = (DdNode **) malloc( p->nCols * sizeof(DdNode *) );
+ p->paNodes = (DdNode **) malloc( p->nCols * sizeof(DdNode *) );
+
+ pLuts[nLuts] = p;
+ nLuts++;
+ }
+ while ( !fLastLut );
+
+
+//if ( fVerbose )
+//printf( "The number of cascades = %d\n", nLuts );
+
+
+//fprintf( pTable, "%d ", nLuts );
+
+
+ // add the new variables at the bottom
+ for ( i = 0; i < s_LutSize; i++ )
+ bCVars[i] = Cudd_bddNewVar(dd);
+
+ // for each LUT - assign the LUT and encode the columns
+ s_EncodingTime = 0;
+ for ( i = 0; i < nLuts; i++ )
+ {
+ int RetValue;
+ DdNode * bVars[32];
+ int nVars;
+ DdNode * bVarsInCube;
+ DdNode * bVarsCCube;
+ DdNode * bVarsCube;
+ int CutLevel;
+
+ p = pLuts[i];
+
+ // compute the columns of this LUT starting from the given set of nodes with the given codes
+ // (these codes have been remapped to depend on the topmost variables in the manager)
+ // for the first LUT, start with the constant 1 BDD
+ CutLevel = p->Level + p->nIns - p->nInsP;
+ if ( i == 0 )
+ RetValue = Extra_bddNodePathsUnderCutArray(
+ dd, &aFunc, &(b1), 1,
+ p->paNodes, p->pbCols, CutLevel );
+ else
+ RetValue = Extra_bddNodePathsUnderCutArray(
+ dd, pLuts[i-1]->paNodes, pLuts[i-1]->pbCodes, pLuts[i-1]->nCols,
+ p->paNodes, p->pbCols, CutLevel );
+ assert( RetValue == p->nCols );
+ // at this point, we have filled out p->paNodes[] and p->pbCols[] of this LUT
+ // pLuts[i-1]->paNodes depended on normal vars
+ // pLuts[i-1]->pbCodes depended on the topmost variables
+ // the resulting p->paNodes depend on normal ADD nodes
+ // the resulting p->pbCols depend on normal vars and topmost variables in the manager
+
+ // perform the encoding
+
+ // create the cube of these variables
+ // collect the topmost variables of the manager
+ nVars = p->nInsP;
+ for ( v = 0; v < nVars; v++ )
+ bVars[v] = dd->vars[ dd->invperm[v] ];
+ bVarsCCube = Extra_bddBitsToCube( dd, (1<<nVars)-1, nVars, bVars, 1 ); Cudd_Ref( bVarsCCube );
+
+ // collect the primary input variables involved in this LUT
+ nVars = p->nIns - p->nInsP;
+ for ( v = 0; v < nVars; v++ )
+ bVars[v] = dd->vars[ dd->invperm[p->Level+v] ];
+ bVarsInCube = Extra_bddBitsToCube( dd, (1<<nVars)-1, nVars, bVars, 1 ); Cudd_Ref( bVarsInCube );
+
+ // get the cube
+ bVarsCube = Cudd_bddAnd( dd, bVarsInCube, bVarsCCube ); Cudd_Ref( bVarsCube );
+ Cudd_RecursiveDeref( dd, bVarsInCube );
+ Cudd_RecursiveDeref( dd, bVarsCCube );
+
+ // get the encoding relation
+ if ( i == nLuts -1 )
+ {
+ DdNode * bVar;
+ assert( p->nMulti == 1 );
+ assert( p->nCols == 2 );
+ assert( Cudd_IsConstant( p->paNodes[0] ) );
+ assert( Cudd_IsConstant( p->paNodes[1] ) );
+
+ bVar = ( p->paNodes[0] == a1 )? bCVars[0]: Cudd_Not( bCVars[0] );
+ p->bRelation = Cudd_bddIte( dd, bVar, p->pbCols[0], p->pbCols[1] ); Cudd_Ref( p->bRelation );
+ }
+ else
+ {
+ long clk2 = clock();
+// p->bRelation = PerformTheEncoding( dd, p->pbCols, p->nCols, bVarsCube, bCVars, p->nMulti, &p->nSimple ); Cudd_Ref( p->bRelation );
+ p->bRelation = Extra_bddEncodingNonStrict( dd, p->pbCols, p->nCols, bVarsCube, bCVars, p->nMulti, &p->nSimple ); Cudd_Ref( p->bRelation );
+ s_EncodingTime += clock() - clk2;
+ }
+
+ // update the number of LUT outputs
+ nLutOutputs += (p->nMulti - p->nSimple);
+ nLutsTotal += p->nMulti;
+
+//if ( fVerbose )
+//printf( "Stage %2d: Simple = %d\n", i+1, p->nSimple );
+
+if ( fVerbose )
+printf( "Stage %3d: In = %3d InP = %3d Cols = %5d Multi = %2d Simple = %2d Level = %3d\n",
+ i+1, p->nIns, p->nInsP, p->nCols, p->nMulti, p->nSimple, p->Level );
+
+ // get the codes from the relation (these are not necessarily cubes)
+ {
+ int c;
+ for ( c = 0; c < p->nCols; c++ )
+ {
+ p->pbCodes[c] = Cudd_bddAndAbstract( dd, p->bRelation, p->pbCols[c], bVarsCube ); Cudd_Ref( p->pbCodes[c] );
+ }
+ }
+
+ Cudd_RecursiveDeref( dd, bVarsCube );
+
+ // remap the codes to depend on the topmost varibles of the manager
+ // useful as a preparation for the next step
+ {
+ DdNode ** pbTemp;
+ int k, v;
+
+ pbTemp = (DdNode **) malloc( p->nCols * sizeof(DdNode *) );
+
+ // create the identical permutation
+ for ( v = 0; v < dd->size; v++ )
+ Permute[v] = v;
+
+ // use the topmost variables of the manager
+ // to represent the previous level codes
+ for ( v = 0; v < p->nMulti; v++ )
+ Permute[bCVars[v]->index] = dd->invperm[v];
+
+ Extra_bddPermuteArray( dd, p->pbCodes, pbTemp, p->nCols, Permute );
+ // the array pbTemp comes already referenced
+
+ // deref the old codes and assign the new ones
+ for ( k = 0; k < p->nCols; k++ )
+ {
+ Cudd_RecursiveDeref( dd, p->pbCodes[k] );
+ p->pbCodes[k] = pbTemp[k];
+ }
+ free( pbTemp );
+ }
+ }
+ if ( fVerbose )
+ printf( "LUTs: Total = %5d. Final = %5d. Simple = %5d. (%6.2f %%) ",
+ nLutsTotal, nLutOutputs, nLutsTotal-nLutOutputs, 100.0*(nLutsTotal-nLutOutputs)/nLutsTotal );
+ if ( fVerbose )
+ printf( "Memory = %6.2f Mb\n", 1.0*nLutOutputs*(1<<nLutSize)/(1<<20) );
+// printf( "\n" );
+
+//fprintf( pTable, "%d ", nLutOutputsOrig );
+//fprintf( pTable, "%d ", nLutOutputs );
+
+ if ( fVerbose )
+ {
+ printf( "Pure decomposition time = %.2f sec\n", (float)(clock() - clk1 - s_EncodingTime)/(float)(CLOCKS_PER_SEC) );
+ printf( "Encoding time = %.2f sec\n", (float)(s_EncodingTime)/(float)(CLOCKS_PER_SEC) );
+// printf( "Encoding search time = %.2f sec\n", (float)(s_EncSearchTime)/(float)(CLOCKS_PER_SEC) );
+// printf( "Encoding compute time = %.2f sec\n", (float)(s_EncComputeTime)/(float)(CLOCKS_PER_SEC) );
+ }
+
+
+//fprintf( pTable, "%.2f ", (float)(s_ReadingTime)/(float)(CLOCKS_PER_SEC) );
+//fprintf( pTable, "%.2f ", (float)(clock() - clk1 - s_EncodingTime)/(float)(CLOCKS_PER_SEC) );
+//fprintf( pTable, "%.2f ", (float)(s_EncodingTime)/(float)(CLOCKS_PER_SEC) );
+//fprintf( pTable, "%.2f ", (float)(s_RemappingTime)/(float)(CLOCKS_PER_SEC) );
+
+
+ // write LUTs into the BLIF file
+ clk1 = clock();
+ if ( fCheck )
+ {
+ FILE * pFile;
+ // start the file
+ pFile = fopen( FileName, "w" );
+ fprintf( pFile, ".model %s\n", FileName );
+
+ fprintf( pFile, ".inputs" );
+ for ( i = 0; i < nNames; i++ )
+ fprintf( pFile, " %s", pNames[i] );
+ fprintf( pFile, "\n" );
+ fprintf( pFile, ".outputs F" );
+ fprintf( pFile, "\n" );
+
+ // write the DD into the file
+ WriteLUTSintoBLIFfile( pFile, dd, pLuts, nLuts, bCVars, pNames, nNames, FileName );
+
+ fprintf( pFile, ".end\n" );
+ fclose( pFile );
+ if ( fVerbose )
+ printf( "Output file writing time = %.2f sec\n", (float)(clock() - clk1)/(float)(CLOCKS_PER_SEC) );
+ }
+
+
+ // updo the LUT cascade
+ for ( i = 0; i < nLuts; i++ )
+ {
+ p = pLuts[i];
+ for ( v = 0; v < p->nCols; v++ )
+ {
+ Cudd_RecursiveDeref( dd, p->pbCols[v] );
+ Cudd_RecursiveDeref( dd, p->pbCodes[v] );
+ Cudd_RecursiveDeref( dd, p->paNodes[v] );
+ }
+ Cudd_RecursiveDeref( dd, p->bRelation );
+
+ free( p->pbCols );
+ free( p->pbCodes );
+ free( p->paNodes );
+ free( p );
+ }
+
+ return 1;
+}
+
+void WriteLUTSintoBLIFfile( FILE * pFile, DdManager * dd, LUT ** pLuts, int nLuts, DdNode ** bCVars, char ** pNames, int nNames, char * FileName )
+{
+ int i, v, o;
+ static char * pNamesLocalIn[MAXINPUTS];
+ static char * pNamesLocalOut[MAXINPUTS];
+ static char Buffer[100];
+ DdNode * bCube, * bCof, * bFunc;
+ LUT * p;
+
+ // go through all the LUTs
+ for ( i = 0; i < nLuts; i++ )
+ {
+ // get the pointer to the LUT
+ p = pLuts[i];
+
+ if ( i == nLuts -1 )
+ {
+ assert( p->nMulti == 1 );
+ }
+
+
+ fprintf( pFile, "#----------------- LUT #%d ----------------------\n", i );
+
+
+ // fill in the names for the current LUT
+
+ // write the outputs of the previous LUT
+ if ( i != 0 )
+ for ( v = 0; v < p->nInsP; v++ )
+ {
+ sprintf( Buffer, "LUT%02d_%02d", i-1, v );
+ pNamesLocalIn[dd->invperm[v]] = Extra_UtilStrsav( Buffer );
+ }
+ // write the primary inputs of the current LUT
+ for ( v = 0; v < p->nIns - p->nInsP; v++ )
+ pNamesLocalIn[dd->invperm[p->Level+v]] = Extra_UtilStrsav( pNames[dd->invperm[p->Level+v]] );
+ // write the outputs of the current LUT
+ for ( v = 0; v < p->nMulti; v++ )
+ {
+ sprintf( Buffer, "LUT%02d_%02d", i, v );
+ if ( i != nLuts - 1 )
+ pNamesLocalOut[v] = Extra_UtilStrsav( Buffer );
+ else
+ pNamesLocalOut[v] = Extra_UtilStrsav( "F" );
+ }
+
+
+ // write LUT outputs
+
+ // get the prefix
+ sprintf( Buffer, "L%02d_", i );
+
+ // get the cube of encoding variables
+ bCube = Extra_bddBitsToCube( dd, (1<<p->nMulti)-1, p->nMulti, bCVars, 1 ); Cudd_Ref( bCube );
+
+ // write each output of the LUT
+ for ( o = 0; o < p->nMulti; o++ )
+ {
+ // get the cofactor of this output
+ bCof = Cudd_Cofactor( dd, p->bRelation, bCVars[o] ); Cudd_Ref( bCof );
+ // quantify the remaining variables to get the function
+ bFunc = Cudd_bddExistAbstract( dd, bCof, bCube ); Cudd_Ref( bFunc );
+ Cudd_RecursiveDeref( dd, bCof );
+
+ // write BLIF
+ sprintf( Buffer, "L%02d_%02d_", i, o );
+
+// WriteDDintoBLIFfileReorder( dd, pFile, bFunc, pNamesLocalOut[o], Buffer, pNamesLocalIn );
+ // does not work well; the advantage is marginal (30%), the run time is huge...
+
+ WriteDDintoBLIFfile( pFile, bFunc, pNamesLocalOut[o], Buffer, pNamesLocalIn );
+ Cudd_RecursiveDeref( dd, bFunc );
+ }
+ Cudd_RecursiveDeref( dd, bCube );
+
+ // clean up the previous local names
+ for ( v = 0; v < dd->size; v++ )
+ {
+ if ( pNamesLocalIn[v] )
+ free( pNamesLocalIn[v] );
+ pNamesLocalIn[v] = NULL;
+ }
+ for ( v = 0; v < p->nMulti; v++ )
+ free( pNamesLocalOut[v] );
+ }
+}
+
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+
+
+