src/bdd/cas/casDec.c

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#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <time.h>

#include "extra.h"
#include "cas.h"


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;



// 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 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;


#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" ) 



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] );
    }
}

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