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authorAlan Mishchenko <alanmi@berkeley.edu>2009-03-29 08:01:00 -0700
committerAlan Mishchenko <alanmi@berkeley.edu>2009-03-29 08:01:00 -0700
commit23fd11037a006089898cb13494305e402a11ec76 (patch)
treebe45622eade1dc6e6b1cb6dd7ca8b115ca00b1cb /src/map/cov/covMinSop.c
parentd74d35aa4244a1e2e8e73c0776703528a5bd94db (diff)
downloadabc-23fd11037a006089898cb13494305e402a11ec76.tar.gz
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+/**CFile****************************************************************
+
+ FileName [covMinSop.c]
+
+ SystemName [ABC: Logic synthesis and verification system.]
+
+ PackageName [Mapping into network of SOPs/ESOPs.]
+
+ Synopsis [SOP manipulation.]
+
+ Author [Alan Mishchenko]
+
+ Affiliation [UC Berkeley]
+
+ Date [Ver. 1.0. Started - June 20, 2005.]
+
+ Revision [$Id: covMinSop.c,v 1.00 2005/06/20 00:00:00 alanmi Exp $]
+
+***********************************************************************/
+
+#include "covInt.h"
+
+////////////////////////////////////////////////////////////////////////
+/// DECLARATIONS ///
+////////////////////////////////////////////////////////////////////////
+
+static void Min_SopRewrite( Min_Man_t * p );
+
+////////////////////////////////////////////////////////////////////////
+/// FUNCTION DEFINITIONS ///
+////////////////////////////////////////////////////////////////////////
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Min_SopMinimize( Min_Man_t * p )
+{
+ int nCubesInit, nCubesOld, nIter;
+ if ( p->nCubes < 3 )
+ return;
+ nIter = 0;
+ nCubesInit = p->nCubes;
+ do {
+ nCubesOld = p->nCubes;
+ Min_SopRewrite( p );
+ nIter++;
+// printf( "%d:%d->%d ", nIter, nCubesInit, p->nCubes );
+ }
+ while ( 100.0*(nCubesOld - p->nCubes)/nCubesOld > 3.0 );
+// printf( "\n" );
+
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Min_SopRewrite( Min_Man_t * p )
+{
+ Min_Cube_t * pCube, ** ppPrev;
+ Min_Cube_t * pThis, ** ppPrevT;
+ Min_Cube_t * pTemp;
+ int v00, v01, v10, v11, Var0, Var1, Index, fCont0, fCont1, nCubesOld;
+ int nPairs = 0;
+/*
+ {
+ Min_Cube_t * pCover;
+ pCover = Min_CoverCollect( p, p->nVars );
+printf( "\n\n" );
+Min_CoverWrite( stdout, pCover );
+ Min_CoverExpand( p, pCover );
+ }
+*/
+
+ // insert the bubble before the first cube
+ p->pBubble->pNext = p->ppStore[0];
+ p->ppStore[0] = p->pBubble;
+ p->pBubble->nLits = 0;
+
+ // go through the cubes
+ while ( 1 )
+ {
+ // get the index of the bubble
+ Index = p->pBubble->nLits;
+
+ // find the bubble
+ Min_CoverForEachCubePrev( p->ppStore[Index], pCube, ppPrev )
+ if ( pCube == p->pBubble )
+ break;
+ assert( pCube == p->pBubble );
+
+ // remove the bubble, get the next cube after the bubble
+ *ppPrev = p->pBubble->pNext;
+ pCube = p->pBubble->pNext;
+ if ( pCube == NULL )
+ for ( Index++; Index <= p->nVars; Index++ )
+ if ( p->ppStore[Index] )
+ {
+ ppPrev = &(p->ppStore[Index]);
+ pCube = p->ppStore[Index];
+ break;
+ }
+ // stop if there is no more cubes
+ if ( pCube == NULL )
+ break;
+
+ // find the first dist2 cube
+ Min_CoverForEachCubePrev( pCube->pNext, pThis, ppPrevT )
+ if ( Min_CubesDistTwo( pCube, pThis, &Var0, &Var1 ) )
+ break;
+ if ( pThis == NULL && Index < p->nVars )
+ Min_CoverForEachCubePrev( p->ppStore[Index+1], pThis, ppPrevT )
+ if ( Min_CubesDistTwo( pCube, pThis, &Var0, &Var1 ) )
+ break;
+ // continue if there is no dist2 cube
+ if ( pThis == NULL )
+ {
+ // insert the bubble after the cube
+ p->pBubble->pNext = pCube->pNext;
+ pCube->pNext = p->pBubble;
+ p->pBubble->nLits = pCube->nLits;
+ continue;
+ }
+ nPairs++;
+/*
+printf( "\n" );
+Min_CubeWrite( stdout, pCube );
+Min_CubeWrite( stdout, pThis );
+*/
+ // remove the cubes, insert the bubble instead of pCube
+ *ppPrevT = pThis->pNext;
+ *ppPrev = p->pBubble;
+ p->pBubble->pNext = pCube->pNext;
+ p->pBubble->nLits = pCube->nLits;
+ p->nCubes -= 2;
+
+ assert( pCube != p->pBubble && pThis != p->pBubble );
+
+
+ // save the dist2 parameters
+ v00 = Min_CubeGetVar( pCube, Var0 );
+ v01 = Min_CubeGetVar( pCube, Var1 );
+ v10 = Min_CubeGetVar( pThis, Var0 );
+ v11 = Min_CubeGetVar( pThis, Var1 );
+ assert( v00 != v10 && v01 != v11 );
+ assert( v00 != 3 || v01 != 3 );
+ assert( v10 != 3 || v11 != 3 );
+
+//printf( "\n" );
+//Min_CubeWrite( stdout, pCube );
+//Min_CubeWrite( stdout, pThis );
+
+//printf( "\n" );
+//Min_CubeWrite( stdout, pCube );
+//Min_CubeWrite( stdout, pThis );
+
+ // consider the case when both cubes have non-empty literals
+ if ( v00 != 3 && v01 != 3 && v10 != 3 && v11 != 3 )
+ {
+ assert( v00 == (v10 ^ 3) );
+ assert( v01 == (v11 ^ 3) );
+ // create the temporary cube equal to the first corner
+ Min_CubeXorVar( pCube, Var0, 3 );
+ // check if this cube is contained
+ fCont0 = Min_CoverContainsCube( p, pCube );
+ // create the temporary cube equal to the first corner
+ Min_CubeXorVar( pCube, Var0, 3 );
+ Min_CubeXorVar( pCube, Var1, 3 );
+//printf( "\n" );
+//Min_CubeWrite( stdout, pCube );
+//Min_CubeWrite( stdout, pThis );
+ // check if this cube is contained
+ fCont1 = Min_CoverContainsCube( p, pCube );
+ // undo the change
+ Min_CubeXorVar( pCube, Var1, 3 );
+
+ // check if the cubes can be overwritten
+ if ( fCont0 && fCont1 )
+ {
+ // one of the cubes can be recycled, the other expanded and added
+ Min_CubeRecycle( p, pThis );
+ // remove the literals
+ Min_CubeXorVar( pCube, Var0, v00 ^ 3 );
+ Min_CubeXorVar( pCube, Var1, v01 ^ 3 );
+ pCube->nLits -= 2;
+ Min_SopAddCube( p, pCube );
+ }
+ else if ( fCont0 )
+ {
+ // expand both cubes and add them
+ Min_CubeXorVar( pCube, Var0, v00 ^ 3 );
+ pCube->nLits--;
+ Min_SopAddCube( p, pCube );
+ Min_CubeXorVar( pThis, Var1, v11 ^ 3 );
+ pThis->nLits--;
+ Min_SopAddCube( p, pThis );
+ }
+ else if ( fCont1 )
+ {
+ // expand both cubes and add them
+ Min_CubeXorVar( pCube, Var1, v01 ^ 3 );
+ pCube->nLits--;
+ Min_SopAddCube( p, pCube );
+ Min_CubeXorVar( pThis, Var0, v10 ^ 3 );
+ pThis->nLits--;
+ Min_SopAddCube( p, pThis );
+ }
+ else
+ {
+ Min_SopAddCube( p, pCube );
+ Min_SopAddCube( p, pThis );
+ }
+ // otherwise, no change is possible
+ continue;
+ }
+
+ // if one of them does not have DC lit, move it
+ if ( v00 != 3 && v01 != 3 )
+ {
+ assert( v10 == 3 || v11 == 3 );
+ pTemp = pCube; pCube = pThis; pThis = pTemp;
+ Index = v00; v00 = v10; v10 = Index;
+ Index = v01; v01 = v11; v11 = Index;
+ }
+
+ // make sure the first cube has first var DC
+ if ( v00 != 3 )
+ {
+ assert( v01 == 3 );
+ Index = Var0; Var0 = Var1; Var1 = Index;
+ Index = v00; v00 = v01; v01 = Index;
+ Index = v10; v10 = v11; v11 = Index;
+ }
+
+ // consider both cases: both have DC lit
+ if ( v00 == 3 && v11 == 3 )
+ {
+ assert( v01 != 3 && v10 != 3 );
+ // try the remaining minterm
+ // create the temporary cube equal to the first corner
+ Min_CubeXorVar( pCube, Var0, v10 );
+ Min_CubeXorVar( pCube, Var1, 3 );
+ pCube->nLits++;
+ // check if this cube is contained
+ fCont0 = Min_CoverContainsCube( p, pCube );
+ // undo the cube transformations
+ Min_CubeXorVar( pCube, Var0, v10 );
+ Min_CubeXorVar( pCube, Var1, 3 );
+ pCube->nLits--;
+ // check the case when both are covered
+ if ( fCont0 )
+ {
+ // one of the cubes can be recycled, the other expanded and added
+ Min_CubeRecycle( p, pThis );
+ // remove the literals
+ Min_CubeXorVar( pCube, Var1, v01 ^ 3 );
+ pCube->nLits--;
+ Min_SopAddCube( p, pCube );
+ }
+ else
+ {
+ // try two reduced cubes
+ Min_CubeXorVar( pCube, Var0, v10 );
+ pCube->nLits++;
+ // remember the cubes
+ nCubesOld = p->nCubes;
+ Min_SopAddCube( p, pCube );
+ // check if the cube is absorbed
+ if ( p->nCubes < nCubesOld + 1 )
+ { // absorbed - add the second cube
+ Min_SopAddCube( p, pThis );
+ }
+ else
+ { // remove this cube, and try another one
+ assert( pCube == p->ppStore[pCube->nLits] );
+ p->ppStore[pCube->nLits] = pCube->pNext;
+ p->nCubes--;
+
+ // return the cube to the previous state
+ Min_CubeXorVar( pCube, Var0, v10 );
+ pCube->nLits--;
+
+ // generate another reduced cube
+ Min_CubeXorVar( pThis, Var1, v01 );
+ pThis->nLits++;
+
+ // add both cubes
+ Min_SopAddCube( p, pCube );
+ Min_SopAddCube( p, pThis );
+ }
+ }
+ }
+ else // the first cube has DC lit
+ {
+ assert( v01 != 3 && v10 != 3 && v11 != 3 );
+ // try the remaining minterm
+ // create the temporary cube equal to the minterm
+ Min_CubeXorVar( pThis, Var0, 3 );
+ // check if this cube is contained
+ fCont0 = Min_CoverContainsCube( p, pThis );
+ // undo the cube transformations
+ Min_CubeXorVar( pThis, Var0, 3 );
+ // check the case when both are covered
+ if ( fCont0 )
+ {
+ // one of the cubes can be recycled, the other expanded and added
+ Min_CubeRecycle( p, pThis );
+ // remove the literals
+ Min_CubeXorVar( pCube, Var1, v01 ^ 3 );
+ pCube->nLits--;
+ Min_SopAddCube( p, pCube );
+ }
+ else
+ {
+ // try reshaping the cubes
+ // reduce the first cube
+ Min_CubeXorVar( pCube, Var0, v10 );
+ pCube->nLits++;
+ // expand the second cube
+ Min_CubeXorVar( pThis, Var1, v11 ^ 3 );
+ pThis->nLits--;
+ // add both cubes
+ Min_SopAddCube( p, pCube );
+ Min_SopAddCube( p, pThis );
+ }
+ }
+ }
+// printf( "Pairs = %d ", nPairs );
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds cube to the SOP cover stored in the manager.]
+
+ Description [Returns 0 if the cube is added or removed. Returns 1
+ if the cube is glued with some other cube and has to be added again.]
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Min_SopAddCubeInt( Min_Man_t * p, Min_Cube_t * pCube )
+{
+ Min_Cube_t * pThis, * pThis2, ** ppPrev;
+ int i;
+ // try to find the identical cube
+ Min_CoverForEachCube( p->ppStore[pCube->nLits], pThis )
+ {
+ if ( Min_CubesAreEqual( pCube, pThis ) )
+ {
+ Min_CubeRecycle( p, pCube );
+ return 0;
+ }
+ }
+ // try to find a containing cube
+ for ( i = 0; i < (int)pCube->nLits; i++ )
+ Min_CoverForEachCube( p->ppStore[i], pThis )
+ {
+ if ( pThis != p->pBubble && Min_CubeIsContained( pThis, pCube ) )
+ {
+ Min_CubeRecycle( p, pCube );
+ return 0;
+ }
+ }
+ // try to find distance one in the same bin
+ Min_CoverForEachCubePrev( p->ppStore[pCube->nLits], pThis, ppPrev )
+ {
+ if ( Min_CubesDistOne( pCube, pThis, NULL ) )
+ {
+ *ppPrev = pThis->pNext;
+ Min_CubesTransformOr( pCube, pThis );
+ pCube->nLits--;
+ Min_CubeRecycle( p, pThis );
+ p->nCubes--;
+ return 1;
+ }
+ }
+
+ // clean the other cubes using this one
+ for ( i = pCube->nLits + 1; i <= (int)pCube->nVars; i++ )
+ {
+ ppPrev = &p->ppStore[i];
+ Min_CoverForEachCubeSafe( p->ppStore[i], pThis, pThis2 )
+ {
+ if ( pThis != p->pBubble && Min_CubeIsContained( pCube, pThis ) )
+ {
+ *ppPrev = pThis->pNext;
+ Min_CubeRecycle( p, pThis );
+ p->nCubes--;
+ }
+ else
+ ppPrev = &pThis->pNext;
+ }
+ }
+
+ // add the cube
+ pCube->pNext = p->ppStore[pCube->nLits];
+ p->ppStore[pCube->nLits] = pCube;
+ p->nCubes++;
+ return 0;
+}
+
+/**Function*************************************************************
+
+ Synopsis [Adds the cube to storage.]
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Min_SopAddCube( Min_Man_t * p, Min_Cube_t * pCube )
+{
+ assert( Min_CubeCheck( pCube ) );
+ assert( pCube != p->pBubble );
+ assert( (int)pCube->nLits == Min_CubeCountLits(pCube) );
+ while ( Min_SopAddCubeInt( p, pCube ) );
+}
+
+
+
+
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Min_SopContain( Min_Man_t * p )
+{
+ Min_Cube_t * pCube, * pCube2, ** ppPrev;
+ int i, k;
+ for ( i = 0; i <= p->nVars; i++ )
+ {
+ Min_CoverForEachCube( p->ppStore[i], pCube )
+ Min_CoverForEachCubePrev( pCube->pNext, pCube2, ppPrev )
+ {
+ if ( !Min_CubesAreEqual( pCube, pCube2 ) )
+ continue;
+ *ppPrev = pCube2->pNext;
+ Min_CubeRecycle( p, pCube2 );
+ p->nCubes--;
+ }
+ for ( k = i + 1; k <= p->nVars; k++ )
+ Min_CoverForEachCubePrev( p->ppStore[k], pCube2, ppPrev )
+ {
+ if ( !Min_CubeIsContained( pCube, pCube2 ) )
+ continue;
+ *ppPrev = pCube2->pNext;
+ Min_CubeRecycle( p, pCube2 );
+ p->nCubes--;
+ }
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+void Min_SopDist1Merge( Min_Man_t * p )
+{
+ Min_Cube_t * pCube, * pCube2, * pCubeNew;
+ int i;
+ for ( i = p->nVars; i >= 0; i-- )
+ {
+ Min_CoverForEachCube( p->ppStore[i], pCube )
+ Min_CoverForEachCube( pCube->pNext, pCube2 )
+ {
+ assert( pCube->nLits == pCube2->nLits );
+ if ( !Min_CubesDistOne( pCube, pCube2, NULL ) )
+ continue;
+ pCubeNew = Min_CubesXor( p, pCube, pCube2 );
+ assert( pCubeNew->nLits == pCube->nLits - 1 );
+ pCubeNew->pNext = p->ppStore[pCubeNew->nLits];
+ p->ppStore[pCubeNew->nLits] = pCubeNew;
+ p->nCubes++;
+ }
+ }
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+Min_Cube_t * Min_SopComplement( Min_Man_t * p, Min_Cube_t * pSharp )
+{
+ Vec_Int_t * vVars;
+ Min_Cube_t * pCover, * pCube, * pNext, * pReady, * pThis, ** ppPrev;
+ int Num, Value, i;
+
+ // get the variables
+ vVars = Vec_IntAlloc( 100 );
+ // create the tautology cube
+ pCover = Min_CubeAlloc( p );
+ // sharp it with all cubes
+ Min_CoverForEachCube( pSharp, pCube )
+ Min_CoverForEachCubePrev( pCover, pThis, ppPrev )
+ {
+ if ( Min_CubesDisjoint( pThis, pCube ) )
+ continue;
+ // remember the next pointer
+ pNext = pThis->pNext;
+ // get the variables, in which pThis is '-' while pCube is fixed
+ Min_CoverGetDisjVars( pThis, pCube, vVars );
+ // generate the disjoint cubes
+ pReady = pThis;
+ Vec_IntForEachEntryReverse( vVars, Num, i )
+ {
+ // correct the literal
+ Min_CubeXorVar( pReady, vVars->pArray[i], 3 );
+ if ( i == 0 )
+ break;
+ // create the new cube and clean this value
+ Value = Min_CubeGetVar( pReady, vVars->pArray[i] );
+ pReady = Min_CubeDup( p, pReady );
+ Min_CubeXorVar( pReady, vVars->pArray[i], 3 ^ Value );
+ // add to the cover
+ *ppPrev = pReady;
+ ppPrev = &pReady->pNext;
+ }
+ pThis = pReady;
+ pThis->pNext = pNext;
+ }
+ Vec_IntFree( vVars );
+
+ // perform dist-1 merge and contain
+ Min_CoverExpandRemoveEqual( p, pCover );
+ Min_SopDist1Merge( p );
+ Min_SopContain( p );
+ return Min_CoverCollect( p, p->nVars );
+}
+
+/**Function*************************************************************
+
+ Synopsis []
+
+ Description []
+
+ SideEffects []
+
+ SeeAlso []
+
+***********************************************************************/
+int Min_SopCheck( Min_Man_t * p )
+{
+ Min_Cube_t * pCube, * pThis;
+ int i;
+
+ pCube = Min_CubeAlloc( p );
+ Min_CubeXorBit( pCube, 2*0+1 );
+ Min_CubeXorBit( pCube, 2*1+1 );
+ Min_CubeXorBit( pCube, 2*2+0 );
+ Min_CubeXorBit( pCube, 2*3+0 );
+ Min_CubeXorBit( pCube, 2*4+0 );
+ Min_CubeXorBit( pCube, 2*5+1 );
+ Min_CubeXorBit( pCube, 2*6+1 );
+ pCube->nLits = 7;
+
+// Min_CubeWrite( stdout, pCube );
+
+ // check that the cubes contain it
+ for ( i = 0; i <= p->nVars; i++ )
+ Min_CoverForEachCube( p->ppStore[i], pThis )
+ if ( pThis != p->pBubble && Min_CubeIsContained( pThis, pCube ) )
+ {
+ Min_CubeRecycle( p, pCube );
+ return 1;
+ }
+ Min_CubeRecycle( p, pCube );
+ return 0;
+}
+
+////////////////////////////////////////////////////////////////////////
+/// END OF FILE ///
+////////////////////////////////////////////////////////////////////////
+
+