| /**CFile**************************************************************** |
| |
| FileName [lpkMulti.c] |
| |
| SystemName [ABC: Logic synthesis and verification system.] |
| |
| PackageName [Fast Boolean matching for LUT structures.] |
| |
| Synopsis [] |
| |
| Author [Alan Mishchenko] |
| |
| Affiliation [UC Berkeley] |
| |
| Date [Ver. 1.0. Started - April 28, 2007.] |
| |
| Revision [$Id: lpkMulti.c,v 1.00 2007/04/28 00:00:00 alanmi Exp $] |
| |
| ***********************************************************************/ |
| |
| #include "lpkInt.h" |
| |
| ABC_NAMESPACE_IMPL_START |
| |
| |
| //////////////////////////////////////////////////////////////////////// |
| /// DECLARATIONS /// |
| //////////////////////////////////////////////////////////////////////// |
| |
| //////////////////////////////////////////////////////////////////////// |
| /// FUNCTION DEFINITIONS /// |
| //////////////////////////////////////////////////////////////////////// |
| |
| /**Function************************************************************* |
| |
| Synopsis [Records variable order.] |
| |
| Description [Increaments Order[x][y] by 1 if x should be above y in the DSD.] |
| |
| SideEffects [] |
| |
| SeeAlso [] |
| |
| ***********************************************************************/ |
| void Lpk_CreateVarOrder( Kit_DsdNtk_t * pNtk, char pTable[][16] ) |
| { |
| Kit_DsdObj_t * pObj; |
| unsigned uSuppFanins, k; |
| int Above[16], Below[16]; |
| int nAbove, nBelow, iFaninLit, i, x, y; |
| // iterate through the nodes |
| Kit_DsdNtkForEachObj( pNtk, pObj, i ) |
| { |
| // collect fanin support of this node |
| nAbove = 0; |
| uSuppFanins = 0; |
| Kit_DsdObjForEachFanin( pNtk, pObj, iFaninLit, k ) |
| { |
| if ( Kit_DsdLitIsLeaf( pNtk, iFaninLit ) ) |
| Above[nAbove++] = Abc_Lit2Var(iFaninLit); |
| else |
| uSuppFanins |= Kit_DsdLitSupport( pNtk, iFaninLit ); |
| } |
| // find the below variables |
| nBelow = 0; |
| for ( y = 0; y < 16; y++ ) |
| if ( uSuppFanins & (1 << y) ) |
| Below[nBelow++] = y; |
| // create all pairs |
| for ( x = 0; x < nAbove; x++ ) |
| for ( y = 0; y < nBelow; y++ ) |
| pTable[Above[x]][Below[y]]++; |
| } |
| } |
| |
| /**Function************************************************************* |
| |
| Synopsis [Creates commmon variable order.] |
| |
| Description [] |
| |
| SideEffects [] |
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| SeeAlso [] |
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| ***********************************************************************/ |
| void Lpk_CreateCommonOrder( char pTable[][16], int piCofVar[], int nCBars, int pPrios[], int nVars, int fVerbose ) |
| { |
| int Score[16] = {0}, pPres[16]; |
| int i, y, x, iVarBest, ScoreMax, PrioCount; |
| |
| // mark the present variables |
| for ( i = 0; i < nVars; i++ ) |
| pPres[i] = 1; |
| // remove cofactored variables |
| for ( i = 0; i < nCBars; i++ ) |
| pPres[piCofVar[i]] = 0; |
| |
| // compute scores for each leaf |
| for ( i = 0; i < nVars; i++ ) |
| { |
| if ( pPres[i] == 0 ) |
| continue; |
| for ( y = 0; y < nVars; y++ ) |
| Score[i] += pTable[i][y]; |
| for ( x = 0; x < nVars; x++ ) |
| Score[i] -= pTable[x][i]; |
| } |
| |
| // print the scores |
| if ( fVerbose ) |
| { |
| printf( "Scores: " ); |
| for ( i = 0; i < nVars; i++ ) |
| printf( "%c=%d ", 'a'+i, Score[i] ); |
| printf( " " ); |
| printf( "Prios: " ); |
| } |
| |
| // derive variable priority |
| // variables with equal score receive the same priority |
| for ( i = 0; i < nVars; i++ ) |
| pPrios[i] = 16; |
| |
| // iterate until variables remain |
| for ( PrioCount = 1; ; PrioCount++ ) |
| { |
| // find the present variable with the highest score |
| iVarBest = -1; |
| ScoreMax = -100000; |
| for ( i = 0; i < nVars; i++ ) |
| { |
| if ( pPres[i] == 0 ) |
| continue; |
| if ( ScoreMax < Score[i] ) |
| { |
| ScoreMax = Score[i]; |
| iVarBest = i; |
| } |
| } |
| if ( iVarBest == -1 ) |
| break; |
| // give the next priority to all vars having this score |
| if ( fVerbose ) |
| printf( "%d=", PrioCount ); |
| for ( i = 0; i < nVars; i++ ) |
| { |
| if ( pPres[i] == 0 ) |
| continue; |
| if ( Score[i] == ScoreMax ) |
| { |
| pPrios[i] = PrioCount; |
| pPres[i] = 0; |
| if ( fVerbose ) |
| printf( "%c", 'a'+i ); |
| } |
| } |
| if ( fVerbose ) |
| printf( " " ); |
| } |
| if ( fVerbose ) |
| printf( "\n" ); |
| } |
| |
| /**Function************************************************************* |
| |
| Synopsis [Finds components with the highest priority.] |
| |
| Description [Returns the number of components selected.] |
| |
| SideEffects [] |
| |
| SeeAlso [] |
| |
| ***********************************************************************/ |
| int Lpk_FindHighest( Kit_DsdNtk_t ** ppNtks, int * piLits, int nSize, int * pPrio, int * pDecision ) |
| { |
| Kit_DsdObj_t * pObj; |
| unsigned uSupps[8], uSuppFanin, uSuppTotal, uSuppLarge; |
| int i, pTriv[8], PrioMin, iVarMax, nComps, fOneNonTriv; |
| |
| // find individual support and total support |
| uSuppTotal = 0; |
| for ( i = 0; i < nSize; i++ ) |
| { |
| pTriv[i] = 1; |
| if ( piLits[i] < 0 ) |
| uSupps[i] = 0; |
| else if ( Kit_DsdLitIsLeaf(ppNtks[i], piLits[i]) ) |
| uSupps[i] = Kit_DsdLitSupport( ppNtks[i], piLits[i] ); |
| else |
| { |
| pObj = Kit_DsdNtkObj( ppNtks[i], Abc_Lit2Var(piLits[i]) ); |
| if ( pObj->Type == KIT_DSD_PRIME ) |
| { |
| pTriv[i] = 0; |
| uSuppFanin = Kit_DsdLitSupport( ppNtks[i], pObj->pFans[0] ); |
| } |
| else |
| { |
| assert( pObj->nFans == 2 ); |
| if ( !Kit_DsdLitIsLeaf(ppNtks[i], pObj->pFans[0]) ) |
| pTriv[i] = 0; |
| uSuppFanin = Kit_DsdLitSupport( ppNtks[i], pObj->pFans[1] ); |
| } |
| uSupps[i] = Kit_DsdLitSupport( ppNtks[i], piLits[i] ) & ~uSuppFanin; |
| } |
| assert( uSupps[i] <= 0xFFFF ); |
| uSuppTotal |= uSupps[i]; |
| } |
| if ( uSuppTotal == 0 ) |
| return 0; |
| |
| // find one support variable with the highest priority |
| PrioMin = ABC_INFINITY; |
| iVarMax = -1; |
| for ( i = 0; i < 16; i++ ) |
| if ( uSuppTotal & (1 << i) ) |
| if ( PrioMin > pPrio[i] ) |
| { |
| PrioMin = pPrio[i]; |
| iVarMax = i; |
| } |
| assert( iVarMax != -1 ); |
| |
| // select components, which have this variable |
| nComps = 0; |
| fOneNonTriv = 0; |
| uSuppLarge = 0; |
| for ( i = 0; i < nSize; i++ ) |
| if ( uSupps[i] & (1<<iVarMax) ) |
| { |
| if ( pTriv[i] || !fOneNonTriv ) |
| { |
| if ( !pTriv[i] ) |
| { |
| uSuppLarge = uSupps[i]; |
| fOneNonTriv = 1; |
| } |
| pDecision[i] = 1; |
| nComps++; |
| } |
| else |
| pDecision[i] = 0; |
| } |
| else |
| pDecision[i] = 0; |
| |
| // add other non-trivial not-taken components whose support is contained in the current large component support |
| if ( fOneNonTriv ) |
| for ( i = 0; i < nSize; i++ ) |
| if ( !pTriv[i] && pDecision[i] == 0 && (uSupps[i] & ~uSuppLarge) == 0 ) |
| { |
| pDecision[i] = 1; |
| nComps++; |
| } |
| |
| return nComps; |
| } |
| |
| /**Function************************************************************* |
| |
| Synopsis [Prepares the mapping manager.] |
| |
| Description [] |
| |
| SideEffects [] |
| |
| SeeAlso [] |
| |
| ***********************************************************************/ |
| If_Obj_t * Lpk_MapTreeMulti_rec( Lpk_Man_t * p, Kit_DsdNtk_t ** ppNtks, int * piLits, int * piCofVar, int nCBars, If_Obj_t ** ppLeaves, int nLeaves, int * pPrio ) |
| { |
| Kit_DsdObj_t * pObj; |
| If_Obj_t * pObjsNew[4][8], * pResPrev; |
| int piLitsNew[8], pDecision[8]; |
| int i, k, nComps, nSize; |
| |
| // find which of the variables is highest in the order |
| nSize = (1 << nCBars); |
| nComps = Lpk_FindHighest( ppNtks, piLits, nSize, pPrio, pDecision ); |
| if ( nComps == 0 ) |
| return If_Not( If_ManConst1(p->pIfMan) ); |
| |
| // iterate over the nodes |
| if ( p->pPars->fVeryVerbose ) |
| printf( "Decision: " ); |
| for ( i = 0; i < nSize; i++ ) |
| { |
| if ( pDecision[i] ) |
| { |
| if ( p->pPars->fVeryVerbose ) |
| printf( "%d ", i ); |
| assert( piLits[i] >= 0 ); |
| pObj = Kit_DsdNtkObj( ppNtks[i], Abc_Lit2Var(piLits[i]) ); |
| if ( pObj == NULL ) |
| piLitsNew[i] = -2; |
| else if ( pObj->Type == KIT_DSD_PRIME ) |
| piLitsNew[i] = pObj->pFans[0]; |
| else |
| piLitsNew[i] = pObj->pFans[1]; |
| } |
| else |
| piLitsNew[i] = piLits[i]; |
| } |
| if ( p->pPars->fVeryVerbose ) |
| printf( "\n" ); |
| |
| // call again |
| pResPrev = Lpk_MapTreeMulti_rec( p, ppNtks, piLitsNew, piCofVar, nCBars, ppLeaves, nLeaves, pPrio ); |
| |
| // create new set of nodes |
| for ( i = 0; i < nSize; i++ ) |
| { |
| if ( pDecision[i] ) |
| pObjsNew[nCBars][i] = Lpk_MapTree_rec( p, ppNtks[i], ppLeaves, piLits[i], pResPrev ); |
| else if ( piLits[i] == -1 ) |
| pObjsNew[nCBars][i] = If_ManConst1(p->pIfMan); |
| else if ( piLits[i] == -2 ) |
| pObjsNew[nCBars][i] = If_Not( If_ManConst1(p->pIfMan) ); |
| else |
| pObjsNew[nCBars][i] = pResPrev; |
| } |
| |
| // create MUX using these outputs |
| for ( k = nCBars; k > 0; k-- ) |
| { |
| nSize /= 2; |
| for ( i = 0; i < nSize; i++ ) |
| pObjsNew[k-1][i] = If_ManCreateMux( p->pIfMan, pObjsNew[k][2*i+0], pObjsNew[k][2*i+1], ppLeaves[piCofVar[k-1]] ); |
| } |
| assert( nSize == 1 ); |
| return pObjsNew[0][0]; |
| } |
| |
| /**Function************************************************************* |
| |
| Synopsis [Prepares the mapping manager.] |
| |
| Description [] |
| |
| SideEffects [] |
| |
| SeeAlso [] |
| |
| ***********************************************************************/ |
| If_Obj_t * Lpk_MapTreeMulti( Lpk_Man_t * p, unsigned * pTruth, int nVars, If_Obj_t ** ppLeaves ) |
| { |
| static int Counter = 0; |
| If_Obj_t * pResult; |
| Kit_DsdNtk_t * ppNtks[8] = {0}, * pTemp; |
| Kit_DsdObj_t * pRoot; |
| int piCofVar[4], pPrios[16], pFreqs[16] = {0}, piLits[16]; |
| int i, k, nCBars, nSize, nMemSize; |
| unsigned * ppCofs[4][8], uSupport; |
| char pTable[16][16] = { |
| {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}, |
| {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}, |
| {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}, |
| {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}, |
| {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}, |
| {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}, |
| {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}, |
| {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}, |
| {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}, |
| {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}, |
| {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}, |
| {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}, |
| {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}, |
| {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}, |
| {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}, |
| {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} |
| }; |
| int fVerbose = p->pPars->fVeryVerbose; |
| |
| Counter++; |
| // printf( "Run %d.\n", Counter ); |
| |
| // allocate storage for cofactors |
| nMemSize = Kit_TruthWordNum(nVars); |
| ppCofs[0][0] = ABC_ALLOC( unsigned, 32 * nMemSize ); |
| nSize = 0; |
| for ( i = 0; i < 4; i++ ) |
| for ( k = 0; k < 8; k++ ) |
| ppCofs[i][k] = ppCofs[0][0] + nMemSize * nSize++; |
| assert( nSize == 32 ); |
| |
| // find the best cofactoring variables |
| nCBars = Kit_DsdCofactoring( pTruth, nVars, piCofVar, p->pPars->nVarsShared, 0 ); |
| // nCBars = 2; |
| // piCofVar[0] = 0; |
| // piCofVar[1] = 1; |
| |
| |
| // copy the function |
| Kit_TruthCopy( ppCofs[0][0], pTruth, nVars ); |
| |
| // decompose w.r.t. these variables |
| for ( k = 0; k < nCBars; k++ ) |
| { |
| nSize = (1 << k); |
| for ( i = 0; i < nSize; i++ ) |
| { |
| Kit_TruthCofactor0New( ppCofs[k+1][2*i+0], ppCofs[k][i], nVars, piCofVar[k] ); |
| Kit_TruthCofactor1New( ppCofs[k+1][2*i+1], ppCofs[k][i], nVars, piCofVar[k] ); |
| } |
| } |
| nSize = (1 << nCBars); |
| // compute DSD networks |
| for ( i = 0; i < nSize; i++ ) |
| { |
| ppNtks[i] = Kit_DsdDecompose( ppCofs[nCBars][i], nVars ); |
| ppNtks[i] = Kit_DsdExpand( pTemp = ppNtks[i] ); |
| Kit_DsdNtkFree( pTemp ); |
| if ( fVerbose ) |
| { |
| printf( "Cof%d%d: ", nCBars, i ); |
| Kit_DsdPrint( stdout, ppNtks[i] ); |
| } |
| } |
| |
| // compute variable frequences |
| for ( i = 0; i < nSize; i++ ) |
| { |
| uSupport = Kit_TruthSupport( ppCofs[nCBars][i], nVars ); |
| for ( k = 0; k < nVars; k++ ) |
| if ( uSupport & (1<<k) ) |
| pFreqs[k]++; |
| } |
| |
| // find common variable order |
| for ( i = 0; i < nSize; i++ ) |
| { |
| Kit_DsdGetSupports( ppNtks[i] ); |
| Lpk_CreateVarOrder( ppNtks[i], pTable ); |
| } |
| Lpk_CreateCommonOrder( pTable, piCofVar, nCBars, pPrios, nVars, fVerbose ); |
| // update priorities with frequences |
| for ( i = 0; i < nVars; i++ ) |
| pPrios[i] = pPrios[i] * 256 + (16 - pFreqs[i]) * 16 + i; |
| |
| if ( fVerbose ) |
| printf( "After restructuring with priority:\n" ); |
| |
| // transform all networks according to the variable order |
| for ( i = 0; i < nSize; i++ ) |
| { |
| ppNtks[i] = Kit_DsdShrink( pTemp = ppNtks[i], pPrios ); |
| Kit_DsdNtkFree( pTemp ); |
| Kit_DsdGetSupports( ppNtks[i] ); |
| assert( ppNtks[i]->pSupps[0] <= 0xFFFF ); |
| // undec nodes should be rotated in such a way that the first input has as many shared inputs as possible |
| Kit_DsdRotate( ppNtks[i], pFreqs ); |
| // print the resulting networks |
| if ( fVerbose ) |
| { |
| printf( "Cof%d%d: ", nCBars, i ); |
| Kit_DsdPrint( stdout, ppNtks[i] ); |
| } |
| } |
| |
| for ( i = 0; i < nSize; i++ ) |
| { |
| // collect the roots |
| pRoot = Kit_DsdNtkRoot(ppNtks[i]); |
| if ( pRoot->Type == KIT_DSD_CONST1 ) |
| piLits[i] = Abc_LitIsCompl(ppNtks[i]->Root)? -2: -1; |
| else if ( pRoot->Type == KIT_DSD_VAR ) |
| piLits[i] = Abc_LitNotCond( pRoot->pFans[0], Abc_LitIsCompl(ppNtks[i]->Root) ); |
| else |
| piLits[i] = ppNtks[i]->Root; |
| } |
| |
| |
| // recursively construct AIG for mapping |
| p->fCofactoring = 1; |
| pResult = Lpk_MapTreeMulti_rec( p, ppNtks, piLits, piCofVar, nCBars, ppLeaves, nVars, pPrios ); |
| p->fCofactoring = 0; |
| |
| if ( fVerbose ) |
| printf( "\n" ); |
| |
| // verify the transformations |
| nSize = (1 << nCBars); |
| for ( i = 0; i < nSize; i++ ) |
| Kit_DsdTruth( ppNtks[i], ppCofs[nCBars][i] ); |
| // mux the truth tables |
| for ( k = nCBars-1; k >= 0; k-- ) |
| { |
| nSize = (1 << k); |
| for ( i = 0; i < nSize; i++ ) |
| Kit_TruthMuxVar( ppCofs[k][i], ppCofs[k+1][2*i+0], ppCofs[k+1][2*i+1], nVars, piCofVar[k] ); |
| } |
| if ( !Extra_TruthIsEqual( pTruth, ppCofs[0][0], nVars ) ) |
| printf( "Verification failed.\n" ); |
| |
| |
| // free the networks |
| for ( i = 0; i < 8; i++ ) |
| if ( ppNtks[i] ) |
| Kit_DsdNtkFree( ppNtks[i] ); |
| ABC_FREE( ppCofs[0][0] ); |
| |
| return pResult; |
| } |
| |
| //////////////////////////////////////////////////////////////////////// |
| /// END OF FILE /// |
| //////////////////////////////////////////////////////////////////////// |
| |
| |
| ABC_NAMESPACE_IMPL_END |
| |
