cdcl.c0000644011311700006200000021011011530465417012147 0ustar s_ogablestudent/* * cdcl.c * * Created on: 28.09.2010 * Authors: Oliver Gableske, Julian Rueth * Content: This file contains all methods of the CDCL component. */ #include "cdcl.h" #ifdef HYBRID //////////////////////////////////////////////////HELPERS #ifdef VERBOSE_CDCL //This method outputs all the variables of the formula as it is known to the CDCL. Information provided is //what clauses a literal watches as second or first watcher. void cdcl_printVariables(){ register int i,j,cNum; printf("c The clauses a literal watches as first watcher:\n"); for (i = 1; i < numVars+1; i++){ printf("c [%i\t]\t%i:",i, watches1[i][0]); for (j=2; (cNum = watches1[i][j]) > -1; j++){ printf("%i ",cNum); } printf("\nc [%i\t]\t%i:",-i, watches1[-i][0]); for (j=2; (cNum = watches1[-i][j]) > -1; j++){ printf("%i ",cNum); } printf("\n"); } printf("c\n"); printf("c The clauses a literal watches as second watcher:\n"); for (i = 1; i < numVars+1; i++){ printf("c [%i\t]\t%i:",i, watches2[i][0]); for (j=2; (cNum = watches2[i][j]) > -1; j++){ printf("%i ",cNum); } printf("\nc [%i\t]\t%i:",-i, watches2[-i][0]); for (j=2; (cNum = watches2[-i][j]) > -1; j++){ printf("%i ",cNum); } printf("\n"); } printf("c\n"); } //To print out a clause in-line with clause specific information like the watchers. void cdcl_printClauseInline(int cNum){ register int i; printf("[%6.1i|%6.1i|%6.1i] ", cNum,watchedLiteral1[cNum],watchedLiteral2[cNum]);fflush(stdout); for (i = 0; clauseLiterals[cNum][i] != 0; ++i){ printf("%6.1i(pval:%i,tval:%i)", clauseLiterals[cNum][i], assignment[abs(clauseLiterals[cNum][i])], tvalue[abs(clauseLiterals[cNum][i])]); fflush(stdout); } } //To print out all clauses of the formula as it is know to the CDCL. void cdcl_printClauses(){ register int i; printf("c The %i clauses:\n", numCDCLClauses); for (i = 0; i < numCDCLClauses; i++){ printf("c ");cdcl_printClauseInline(i);printf("\n"); } } //This method is used to print out the current decision stack. void cdcl_printDecisionStack(){ register int i,j,lit; printf("c The decision stack is:\n");fflush(stdout); for (i = 0; i < currentDecLevel+1; i++){ printf("c\tLevel %i:\nc\t\tAssignments: ",i);fflush(stdout); j=0; while ((lit = cdcl_decisionStack_getVariableAssignment(i,j)) != 0){ printf("%i ", lit);fflush(stdout); j++; } printf("\n"); } printf("c\n"); fflush(stdout); } //To print out the unit propagation buffer (along with the reasons for such propagations). void cdcl_printPropagationBuffers(){ int *ptrUnit, *ptrReason; ptrUnit = cdcl_unitPropBuffer; ptrReason = cdcl_reasonPropBuffer; printf("c The unit propagation buffer is:\t"); while (ptrUnit < cdcl_unitPropBufferLast){ printf("%6.1i ", *ptrUnit); ptrUnit++; } printf("\nc The reason propagation buffer is:\t"); while (ptrReason < cdcl_reasonPropBufferLast){ printf("%6.1i ", *ptrReason); ptrReason++; } printf("\nc The size of the buffers are: %i\n", cdcl_unitPropBufferMax-cdcl_unitPropBuffer); printf("c The current position in the buffers: unit %i, reason %i\n", cdcl_unitPropBufferPos-cdcl_unitPropBuffer, cdcl_reasonPropBufferPos-cdcl_reasonPropBuffer); } #endif /* VERBOSE_CDCL */ //This method checks if a given unsigned integer is zero or a power of 2. char cdcl_isPowerOfTwoOrZero(const unsigned int x){ return !(x & (x - 1)); } //This method is used to calculate the logarithm of base 2 of an unsigned integer. inline int cdcl_fastLog2(unsigned int x){ __asm__ ("bsr %%eax,%%eax": "=a"(x): "a"(x)); return x; } //This method will caluculate the i-th element of the Luby-series. int cdcl_getLuby(const unsigned int i){ if (i<=1) return cdcl_lubyUnit; if (cdcl_isPowerOfTwoOrZero(i+1)) return ((i+1)>>1)*cdcl_lubyUnit; else return cdcl_getLuby(i-(1< 0){ return -1; } else { return 1; } } #ifdef TRANSFERASSIGNMENTCHANGES int cdcl_flipVar(int chosenVar){ register int cNum,toEnforce,*ptr,diff=0; if (assignment[chosenVar]){ toEnforce = -chosenVar; } else { toEnforce = chosenVar; } assignment[chosenVar] = 1 - assignment[chosenVar]; for (ptr = clauseAppearance[toEnforce]; (cNum = *ptr) > -1; ++ptr){ if (numTrue[cNum]+1 < 2){ --diff; } } toEnforce = -toEnforce; for (ptr = clauseAppearance[toEnforce]; (cNum = *ptr) > -1; ++ptr){ if (numTrue[cNum]-1 < 1){ ++diff; } } assignment[chosenVar] = 1 - assignment[chosenVar]; return diff; } //This method is used to transfer over specific assignment changes made by the CDCL to the SLS. void cdcl_transferAssignmentChangesToSLS(){ register int level,pos,var; for (level = 0; level < currentDecLevel+1; ++level){ pos = 0; while (++pos < cdcl_decisionStack_assignments[level][0]) { var = abs(cdcl_decisionStack_getVariableAssignment(level,pos)); if (assignment[var] != tvalue[var]){ pickVar(); chosenVar = var; flipVar(); #ifdef COLLINF_CDCL ++cdcl_numTransferredAssignmnetChanges; #endif } } } } #endif //////////////////////////////////////////////////WATCHED LITERALS RELATED //This method checks if enough memory is available such that lit can serve as first watcher for an additional //clause. inline void cdcl_watcher_checkMemoryForWatcher1(const int lit){ if (watches1[lit][0] >= watches1[lit][1]-1){ watches1[lit][1] *= 2; watches1[lit] = realloc(watches1[lit],sizeof(int)*(watches1[lit][1]+2)); } #ifdef VERIFICATION_CDCL //We assert here that all the memory was allocated without error. verification_cdcl_verifyMemoryAllocation(); #endif } //This method checks if enough memory is available such that lit can serve as second watcher for an additional //clause. inline void cdcl_watcher_checkMemoryForWatcher2(const int lit){ if (watches2[lit][0] >= watches2[lit][1]-1){ watches2[lit][1] *= 2; watches2[lit] = realloc(watches2[lit],sizeof(int)*(watches2[lit][1]+2)); } #ifdef VERIFICATION_CDCL //We assert here that all the memory was allocated without error. verification_cdcl_verifyMemoryAllocation(); #endif } //This method tries to find a new first watcher for a given clause. inline void cdcl_watcher_findNewFirst(const int cNum){ int *lit; //In this method, we try to find a new literal that can act as first watcher. This method will also take care //in replacing the old first watcher if and only if it finds a new first watcher. #ifdef VERIFICATION_CDCL //We assert here that the clause cNum indeed has a first watcher and that its watches list contains cNum. verification_cdcl_clauseHasOldFirstWatcher(cNum); #endif for (lit = clauseLiterals[cNum]; *lit != 0; ++lit){ if (*lit != watchedLiteral2[cNum]){ //We have found a literal that is not already acting as second watcher. if (tvalue[abs(*lit)] == 2 || ((tvalue[abs(*lit)] > 0) == (*lit > 0))){ //*lit is now a literal that can serve as new first watcher. We exit the for-loop. break; } } } //Here *lit is either 0, in case no new first watcher could be found, or *lit != 0 in which case we replace //the old first watcher with the new one. if (*lit != 0){ //We have found a literal in *lit that can act as new first watcher. We replace the old first watcher. cdcl_watcher_replaceFirst(cNum,watchedLiteral1[cNum],*lit); } } //This method tries to find a new second watcher for a given clause. inline void cdcl_watcher_findNewSecond(const int cNum){ int *lit; //In this method, we try to find a new literal that can act as second watcher. This method will also take care //in replacing the old second watcher if and only if it finds a new second watcher. #ifdef VERIFICATION_CDCL //We assert here that the clause cNum indeed has a second watcher and that its watches list has size > 0. verification_cdcl_clauseHasOldScondWatcher(cNum); #endif for (lit = clauseLiterals[cNum]; *lit != 0; ++lit){ if (*lit != watchedLiteral1[cNum]){ //We have found a literal that is not already acting as second watcher. if (tvalue[abs(*lit)] == 2 || ((tvalue[abs(*lit)] > 0) == (*lit > 0))){ //*lit is now a literal that can serve as new second watcher. We exit the for-loop. break; } } } //Here *lit is either 0, in case no new second watcher could be found, or *lit != 0 in which case we replace //the old second watcher with the new one. if (*lit != 0){ //We have found a literal in *lit that can act as new first watcher. We replace the old first watcher. cdcl_watcher_replaceSecond(cNum,watchedLiteral2[cNum],*lit); } } //This method replaces the first watcher of a clause with a new one. inline void cdcl_watcher_replaceFirst(const int cNum, const int oldLit, const int newLit){ //In this method we will replace the first watcher oldLit for cNum with newLit. To do so, we have to remove //cNum from watches1 by overriding it with the last element in watches1 for oldLit. Then we have to update the //watches1pos for the clause newly in this position. Then we have to add cNum in the watches1 for newLit and //update the watches1pos of cNum to the position it got added. #ifdef VERIFICATION_CDCL verification_cdcl_verifyFirstWatcherReplacement_primary(cNum, oldLit, newLit); #endif //First, remove cNum from watches1[oldLit] by overriding it with the last element of this array. --watches1[oldLit][0]; watches1[oldLit][2+watches1pos[cNum]] = watches1[oldLit][2+watches1[oldLit][0]]; watches1[oldLit][2+watches1[oldLit][0]] = -1;//Terminate the array anew. //Then update the watches1pos for the clause newly at the watches1pos[cNum] position. if (watches1[oldLit][2+watches1pos[cNum]] > -1){ //We override the just shifted clauses position if and only if there was indeed a shift,i.e. //the removed element was not in the last position. watches1pos[watches1[oldLit][2+watches1pos[cNum]]] = watches1pos[cNum]; } //We now have to insert cNum in the watches1 for newLit. cdcl_watcher_checkMemoryForWatcher1(newLit); watches1[newLit][2+watches1[newLit][0]] = cNum; //Update the new position in the watches array for cNum. watches1pos[cNum] = watches1[newLit][0]; //Terminate the watches array anew. ++watches1[newLit][0]; watches1[newLit][2+watches1[newLit][0]] = -1; //After all this we have to finally assign the watched literal to make the clause aware of its new buddy. watchedLiteral1[cNum] = newLit; #ifdef VERIFICATION_CDCL verification_cdcl_verifyFirstWatcherReplacement_secondary(cNum, oldLit, newLit); #endif } //This method replaces the second watcher of a clause with a new one. inline void cdcl_watcher_replaceSecond(const int cNum, const int oldLit, const int newLit){ //In this method we will replace the second watcher oldLit for cNum with newLit. To do so, we have to remove //cNum from watches2 by overriding it with the last element in watches2 for oldLit. Then we have to update the //watches2pos for the clause newly in this position. Then we have to add cNum in the watches2 for newLit and //update the watches2pos of cNum to the position it got added. #ifdef VERIFICATION_CDCL verification_cdcl_verifySecondWatcherReplacement_primary(cNum, oldLit, newLit); #endif //First, remove cNum from watches2[oldLit] by overriding it with the last element of this array. --watches2[oldLit][0]; watches2[oldLit][2+watches2pos[cNum]] = watches2[oldLit][2+watches2[oldLit][0]]; watches2[oldLit][2+watches2[oldLit][0]] = -1;//Terminate the array anew. //Then update the watches2pos for the clause newly at the watches2pos[cNum] position. if (watches2[oldLit][2+watches2pos[cNum]] > -1){ //We override the just shifted clauses position if and only if there was indeed a shift,i.e. //the removed element was not in the last position. watches2pos[watches2[oldLit][2+watches2pos[cNum]]] = watches2pos[cNum]; } //We now have to insert cNum in the watches2 for newLit. cdcl_watcher_checkMemoryForWatcher2(newLit); watches2[newLit][2+watches2[newLit][0]] = cNum; //Update the new position in the watches array for cNum. watches2pos[cNum] = watches2[newLit][0]; //Terminate the watches array anew. ++watches2[newLit][0]; watches2[newLit][2+watches2[newLit][0]] = -1; //After all this we have to finally assign the watched literal to make the clause aware of its new buddy. watchedLiteral2[cNum] = newLit; #ifdef VERIFICATION_CDCL verification_cdcl_verifySecondWatcherReplacement_secondary(cNum, oldLit, newLit); #endif } //////////////////////////////////////////////DECISION STACK RELATED //This method adds a variable assignment to the decision stack at the given level and stores the reason for this. inline void cdcl_decisionStack_addVariableAssignment(const int level, const int lit, const int reason){ #ifdef VERBOSE_CDCL printf("c Adding literal %i to decision stack level %i.\n",lit, level); #endif if (cdcl_decisionStack_assignments[level][0]+1 == cdcl_decisionStack_assignments[level][1]){ //If we need more memory to store additional assignments in this level, we have to allocate //it here. We double the memory we have. cdcl_decisionStack_assignments[level][1] *= 2; cdcl_decisionStack_assignments[level] = realloc( cdcl_decisionStack_assignments[level], sizeof(int)*(cdcl_decisionStack_assignments[level][1]+2)); } cdcl_decisionStack_assignments[level][2+cdcl_decisionStack_assignments[level][0]] = lit; ++cdcl_decisionStack_assignments[level][0]; cdcl_decisionStack_assignments[level][2+cdcl_decisionStack_assignments[level][0]] = 0; cdcl_assignmentLevel[abs(lit)] = level; //Remember that this variable was assigned in level. cdcl_reason[abs(lit)] = reason; //Remember the reason for this assignment. } //This method returns the varibale assignment on the given decision level and position. inline int cdcl_decisionStack_getVariableAssignment(const int level, const int assiNum){ return cdcl_decisionStack_assignments[level][2+assiNum]; } //This method increases the current decision level. It will also allocate additional memory if necessary. inline void cdcl_decisionStack_increaseDecisionLevel(){ currentDecLevel++; #ifdef VERBOSE_CDCL printf("c Increasing the current decision level to: %i.\n",currentDecLevel); #endif if (currentDecLevel == maxDecLevel){ //We must allocate additional memory for this decision level. maxDecLevel++; cdcl_decisionStack_assignments = realloc(cdcl_decisionStack_assignments, sizeof(int*)*maxDecLevel); cdcl_decisionStack_assignments[currentDecLevel] = malloc(sizeof(int)*3); //If and only if this decision level was created freshly we have to initialize the memory storage //information. If a level was created before, than the memory information is already up to date. cdcl_decisionStack_assignments[currentDecLevel][1] = 1; } //We initialize the decision level here. cdcl_decisionStack_assignments[currentDecLevel][0] = 0; cdcl_decisionStack_assignments[currentDecLevel][2] = 0; #ifdef VERIFICATION_CDCL //We assert here that all the memory was allocated without error. verification_cdcl_verifyMemoryAllocation(); #endif } //This method performs a back-jump to the given target level. void cdcl_decisionStack_backjump(int targetLevel){ register int level,pos; //We will now unassign everything in tvalue that is found up to (excluding) decision level targetLevel. #ifdef VERBOSE_CDCL printf("c Back-jumping from level %i to level %i.\n",currentDecLevel, targetLevel);fflush(stdout); #endif for (level = currentDecLevel; level > targetLevel; --level){ pos = cdcl_decisionStack_assignments[level][0]; #ifdef VERBOSE_CDCL printf("c\tLevel %i, unassigning %i variables: ",level,pos);fflush(stdout); #endif while (--pos > -1) { #ifdef VERBOSE_CDCL printf("%i ", cdcl_decisionStack_getVariableAssignment(level,pos));fflush(stdout); #endif tvalue[abs(cdcl_decisionStack_getVariableAssignment(level,pos))] = 2; } #ifdef VERBOSE_CDCL printf("\n");fflush(stdout); #endif } currentDecLevel = targetLevel; #ifdef VERBOSE_CDCL printf("c Back-jumping done.\n"); fflush(stdout); #endif #ifdef COLLINF_CDCL ++cdcl_numBackjumpsLastCall; #endif } ///////////////////////////////////PICKING OF DECISION LITERAL #ifdef HIHEURISTIC //This method computes the HI-scores for all the variables. HIDEPTH defines to what level we calculate the scores. void cdcl_hiHeuristic(){ register int i_it = 1,r,*clsPtr,lit,*inClsPtr,cNum; int j,w,sign,clsSize; float helperA,helperB;//Helpers for manually calculating the power. //We will now calculate h_i, starting with i = 1 upwards to the given i. //FYI: lScore[i][j] = h_i(x_j). Do not confuse this with lScore_size[j]. while (i_it <= HIDEPTH){ //Calculate s_i-1. We will need s[i_it-1] for the normalization later. //Lucky us, the only thing we need is lScore[i_it-1] for this, we already have that. s[i_it-1] = 0.0; for (r = 1; r < numVars+1; ++r){ s[i_it-1] += lScore[i_it-1][r] + lScore[i_it-1][-r]; } s[i_it-1] = (((float)1)/((float)(2*numVars))) * s[i_it-1]; //Based on the new s_i-1 and the lScores[i_it-1], we can calculate the lScores[i_it]; the real h_i values. for (r = 1; r < numVars+1; ++r){//For each variable. for (sign = -1; sign < 2; sign = sign+2){//For both literals. for (j = 0; j < maxClauseSize+1; ++j){//Initialize the clause scores to 0 here. lScore_size[j] = 0.0;//We just start to work on literal sign*r. } //We calculate the inner sum of the heuristic. I.e. for all clauses that contain literal sign*r. for (clsPtr = clauseAppearance[sign*r]; (cNum = *clsPtr) > -1; ++clsPtr){ //Now for that clause, we calculate the innermost product of the heuristic. float clsResult = 1.0; clsSize = 0; for (inClsPtr = clauseLiterals[cNum]; (lit = *inClsPtr) != 0; ++inClsPtr){ ++clsSize; if (lit == sign*r) continue;//Ignore sign*r in the clause. clsResult *= lScore[i_it-1][-lit]; } //We add the score result for one clause to the specific scores of clauses with the same //length. We need to distinct here because of the different normalizations you do for the //different clause lengths. lScore_size[clsSize] += clsResult; } //lScore_size[j] contain the scores for all clauses of size j, that contained sign*r. We now //normalize all those scores according to the heuristic, and add it to the final score for sign*r. for (j = 1; j < maxClauseSize+1; ++j){ if (lScore_size[j] > 0){ //We now normalize, the normalization factor in the heuristic: k^(k-j) / s[i_it-1]^(j-1) helperA = 1.0; for (w = 0; w < maxClauseSize-j; ++w){helperA *= maxClauseSize;}//Means helperA = k^(k-j). helperB = 1.0; for (w = 0; w < j-1; ++w){helperB *= s[i_it-1];}//Means helperB = s[i_it-1]^(j-1). lScore_size[j] *= (helperA / helperB); } //The normalized score is added to the score of sign*r. This is the outer sum in the heuristic. lScore[i_it][sign*r] += lScore_size[j]; } //We have now finished the calculations for one literal of r, i.e. sign*r. } } //We have finished the calculations for all variables r in this iteration, i.e. one "i" in the heuristic. ++i_it; } //We finished the calculations for all iterations of h_i. } #endif /* HIHEURISTIC */ #ifdef VSIDS_INCREASEINCONFLICT inline void cdcl_updateVSIDSScores(){ //We now increase the basic VSIDS scores of all variables from the conflicting clause. int* inClsPtr; for (inClsPtr = clauseLiterals[conflictClause]; *inClsPtr != 0; ++inClsPtr){ vsidsScore[abs(*inClsPtr)] += bump_factor_conflict; } } #endif //This method is used to pick a variable according to their rank. Highest ranked first. void cdcl_pickLiteralToSatisfy(){ decisionLiteral = 0; orderPtr = variable_order+1; while ((orderPtr - (variable_order+1) < numVars)){ if (tvalue[*orderPtr] == 2){ if (assignment[*orderPtr] == 0){ decisionLiteral = -(*orderPtr); cdcl_addToUnitPropBuffer(decisionLiteral,-1); return; } else { decisionLiteral = *orderPtr; cdcl_addToUnitPropBuffer(decisionLiteral,-1); return; } } ++orderPtr; } } /////////////////////////////////////CONFLICT ANALYSIS #ifndef UNITWALK #ifdef LEARNUIP //This method performs learning based on the first UIP learning scheme. void cdcl_conflictAnalysis_learnUIP(){ register int level,pos,*inClsPtr,*repPtrPos,*repPtrLast,conflictVar; #ifdef FIRSTUIP int lastLevelReplaced = 0; #endif #ifdef VERBOSE_CDCL printf("c UIP learning.\n");fflush(stdout); #endif //First we mark all variables as not added in the learned clause. #ifdef VERBOSE_CDCL printf("c\tUnmarking the variables: "); #endif for (level = currentDecLevel; level > -1; --level){ pos = cdcl_decisionStack_assignments[level][0]-1; while (pos > -1){ cdcl_UIPAdded[abs(cdcl_decisionStack_getVariableAssignment(level,pos--))] = 0; #ifdef VERBOSE_CDCL printf("%i ",cdcl_decisionStack_getVariableAssignment(level,pos)); #endif } } //Then we add the conflict variable. conflictVar=abs(cdcl_decisionStack_getVariableAssignment(currentDecLevel,cdcl_decisionStack_assignments[currentDecLevel][0]-1)); repPtrPos = cdcl_UIPReplacementBuffer; //Initialize the current position in the replacement buffer. repPtrLast = cdcl_UIPReplacementBuffer; //Initialize the last position in the replacement buffer. cdcl_UIPAdded[abs(conflictVar)] = 1; //Mark the conflict variable as added to the clause. #ifdef VERBOSE_CDCL printf("\nc\tThe conflict variable is: %i\n", conflictVar); printf("c\tInitializing replacement queue: ");fflush(stdout); #endif //Then we add all the literals from the conflict clause (omitting the one resulting in the conflict). for (inClsPtr = clauseLiterals[conflictClause]; *inClsPtr != 0 ; ++inClsPtr){ if (cdcl_UIPAdded[abs(*inClsPtr)] == 0 && abs(*inClsPtr) != conflictVar){ //We have found a literal in the conflict clause that we must add to the replacement buffer. #ifdef VERBOSE_CDCL printf("%i ", *inClsPtr);fflush(stdout); #endif *repPtrLast = *inClsPtr; //Add it. cdcl_UIPAdded[abs(*inClsPtr)] = 1; //Mark as added. repPtrLast++; //Increase the last buffer position. } } #ifdef VERBOSE_CDCL printf("| ");fflush(stdout); #endif //Then we add all the literals from the reason clause of the conflict (ignoring the conflict literal). for (inClsPtr = clauseLiterals[cdcl_reason[conflictVar]]; *inClsPtr != 0 ; ++inClsPtr){ if (cdcl_UIPAdded[abs(*inClsPtr)] == 0 && abs(*inClsPtr) != conflictVar){ //We have found a literal in the last reason clause that we must add to the replacement buffer. #ifdef VERBOSE_CDCL printf("%i ", *inClsPtr); #endif *repPtrLast = *inClsPtr; //Add it. cdcl_UIPAdded[abs(*inClsPtr)] = 1; //Mark as added. repPtrLast++; //Increase the last buffer position. } } #ifdef VERBOSE_CDCL printf("\n"); printf("c\tStarting replacement process.\n");fflush(stdout); #endif while (repPtrPos < repPtrLast){ //While there are still variables to replace... //We check if the current variable in the replacement buffer is subject to replacements. This is the case //if this variable is no decision. if (cdcl_reason[abs(*repPtrPos)] == -1 #ifdef FIRSTUIP || cdcl_assignmentLevel[abs(*repPtrPos)] < currentDecLevel #endif ){ //We move on, ignoring this decision variable. It cannot be replaced and must stay in the buffer. #ifdef VERBOSE_CDCL printf("c\t\tReplacing %i\t(reason %i\t) by... SKIPPING\n", *repPtrPos, cdcl_reason[abs(*repPtrPos)]); fflush(stdout); #endif repPtrPos++; continue; } if (cdcl_assignmentLevel[abs(*repPtrPos)] == 0){ //This variable was assigned because of a unit propagation in level zero. Such a variable must //not be part of a learned clause because an immediate resolution could remove it. *repPtrPos = 0; //Make the variable disappear from the buffer. repPtrPos++; //Continue with next element in buffer. continue; } #ifdef VERBOSE_CDCL printf("c\t\tReplacing %i\t(reason %i\t) by... ", *repPtrPos, cdcl_reason[abs(*repPtrPos)]);fflush(stdout); #endif //At this point we do know, that the variable is getting replaced. By what is still to be determined, but //the variable itself must not appear in the buffer afterwards. We will now check into the reason for //the current variable assignment and replace the current variable assignment with all not yet added //literals from the reason clause. for (inClsPtr = clauseLiterals[cdcl_reason[abs(*repPtrPos)]]; *inClsPtr != 0 ; ++inClsPtr){ if (cdcl_UIPAdded[abs(*inClsPtr)] == 0){ //We have found a literal in the reason clause that we must add to the replacement buffer. #ifdef VERBOSE_CDCL printf("%i ", *inClsPtr);fflush(stdout); #endif *repPtrLast = *inClsPtr; //Add it. cdcl_UIPAdded[abs(*inClsPtr)] = 1; //Mark as added. repPtrLast++; //Increase the last buffer position. } } #ifdef VERBOSE_CDCL printf("\n");fflush(stdout); #endif #ifdef FIRSTUIP ++lastLevelReplaced; if (lastLevelReplaced == cdcl_decisionStack_assignments[currentDecLevel][0]-1){ break; } #endif *repPtrPos = 0; //Make the replaced variable disappear from the buffer. repPtrPos++; //Continue with next element in buffer. } #ifdef VERBOSE_CDCL printf("c\tdone.\n");fflush(stdout); #endif //At this point, no more replacements can be made. From what remains in the buffer, we will learn an asserting //clause by collecting everything in the buffer up to *repPtrLast that is not zero. //We also compute the asserting level: it is the second highest assignment level of all the variables. //The highest one is the one of the asserted literal. We do not care for the level of the asserted literal, //but we need to know what the asserted literal is. cdcl_learnedConflictClauseSize = 0; repPtrPos = cdcl_UIPReplacementBuffer; cdcl_learnedConflictClauseAssLit = 0; cdcl_learnedConflictClauseWatcher2 = 0; cdcl_backjumpTargetLevel = -1;//The level we want to back-jump to. Will be the second highest decision level. level = 0;//Now the highest found decision level for any of the literals in the learned clause. Is the level //of the asserting literal. #ifdef VERBOSE_CDCL printf("c\tStarting the collecting phase. The learned clause contains:\n");fflush(stdout); #endif while (repPtrPos < repPtrLast){ if (*repPtrPos != 0) { clauseLiterals[numCDCLClauses][cdcl_learnedConflictClauseSize++] = *repPtrPos; //Add the survivor. clauseLiterals[numCDCLClauses][cdcl_learnedConflictClauseSize] = 0; //Terminate the clause. #ifdef VERBOSE_CDCL printf("c\t\t%i(%i) ",*repPtrPos, cdcl_assignmentLevel[abs(*repPtrPos)]);fflush(stdout); #endif if (cdcl_assignmentLevel[abs(*repPtrPos)] > level){ //If *repPtrPos has the largest decision level ever seen it must be our new asserting literal. cdcl_backjumpTargetLevel = level; level = cdcl_assignmentLevel[abs(*repPtrPos)]; //Obviously, having a new asserting literal also means having a new second watcher. cdcl_learnedConflictClauseWatcher2 = cdcl_learnedConflictClauseAssLit; cdcl_learnedConflictClauseAssLit = *repPtrPos; #ifdef VERBOSE_CDCL printf("is new asserting literal");fflush(stdout); #endif } else if (cdcl_assignmentLevel[abs(*repPtrPos)] > cdcl_backjumpTargetLevel) { //If it is not the largest decision level but larger than the current target level, //we make it our new target level. cdcl_backjumpTargetLevel = cdcl_assignmentLevel[abs(*repPtrPos)]; //It also gives us what the second watcher is. cdcl_learnedConflictClauseWatcher2 = *repPtrPos; #ifdef VERBOSE_CDCL printf("gives new back-jump target level/new second watcher");fflush(stdout); #endif } #ifdef VERBOSE_CDCL printf("\n");fflush(stdout); #endif } repPtrPos++; } #ifdef VERBOSE_CDCL printf("c\tdone.\n"); printf("c\tComputed asserting literal is %i.\n", cdcl_learnedConflictClauseAssLit); printf("c\tComputed second watcher is: %i.\n", cdcl_learnedConflictClauseWatcher2); printf("c\tComputed back-jumping level is %i.\n", cdcl_backjumpTargetLevel); printf("c HI-UIP learning done.\n");fflush(stdout); #endif } #endif //This is a fall-back method used to learn a new clause. It will simply take all the decisions on the decision //stack, invert their signs and add them into a clause. void cdcl_conflictAnalysis_learnSimple(){ //Extremely simple learning scheme: //We simply learn a clause with all the decisions made so far in a clause but the decisions inverted. //This method must also compute the back-jump target level. This level is the decision level of an included //decision variable that has the largest level. In this case, i.e. the simple learning, this is always //current decision level -1. The learned clause will be unit in the back-jump level. The literal that is //to be propagated by the unit propagation is the last one we added in the clause. #ifdef VERBOSE_CDCL printf("c Analyzing conflict...\n");fflush(stdout); #endif register int i,pos,lit; pos = 0; for (i = 0; i < currentDecLevel+1; ++i){ if ((lit = cdcl_decisionStack_getVariableAssignment(i,0)) != 0){ clauseLiterals[numCDCLClauses][pos++] = -lit; } } clauseLiterals[numCDCLClauses][pos] = 0; //Terminate after all literals where learned. cdcl_learnedConflictClauseSize = pos;//We use this size +1 to allocate memory later. cdcl_backjumpTargetLevel = currentDecLevel-1; //This is where we want to back-jump in the simple scheme. cdcl_learnedConflictClauseAssLit = clauseLiterals[numCDCLClauses][pos-1];//Last decision is getting asserted. if (pos > 1) { cdcl_learnedConflictClauseWatcher2 = clauseLiterals[numCDCLClauses][pos-2];//Second watcher on back-jump level. } else { cdcl_learnedConflictClauseWatcher2 = 0; } #ifdef VERBOSE_CDCL int j; printf("c Learned new clause: [%i] ", numCDCLClauses); for (j = 0; j < pos; j++) printf("%i ", clauseLiterals[numCDCLClauses][j]); printf("has size: %i, currentDecisionLevel: %i, back-jump to: %i, forced unit propagation on: %i\n", cdcl_learnedConflictClauseSize, currentDecLevel, cdcl_backjumpTargetLevel, cdcl_learnedConflictClauseAssLit); fflush(stdout); #endif } //This method will insert the newly learned clause into the formula. It is independent of the learning scheme used. void cdcl_conflictAnalysis_insertNewClause(){ //Independently of the learning scheme, we can add the newly learned clause here. #ifdef VERBOSE_CDCL printf("c Adding newly learned clause...\n"); fflush(stdout); #endif #ifdef COLLINF_CDCL cdcl_learnedClausesOfLength[cdcl_learnedConflictClauseSize]++; #endif //A clause always has two watched literals. We therefore must increase the corresponding arrays here. watchedLiteral1 = realloc(watchedLiteral1, sizeof(int)*(numCDCLClauses+1)); watchedLiteral2 = realloc(watchedLiteral2, sizeof(int)*(numCDCLClauses+1)); watches1pos = realloc(watches1pos, sizeof(int)*(numCDCLClauses+1)); watches2pos = realloc(watches2pos, sizeof(int)*(numCDCLClauses+1)); #ifdef VERIFICATION_CDCL //We assert here that reallocation of all the memory worked out as intended. verification_cdcl_verifyMemoryAllocation(); #endif //We can now transfer the literals of the learned clause over to clauseLiterals. #ifdef VERBOSE_CDCL printf("c\tResizing learned clause... "); fflush(stdout); #endif clauseLiterals[numCDCLClauses] = realloc(clauseLiterals[numCDCLClauses], sizeof(int)*(cdcl_learnedConflictClauseSize+1)); #ifdef VERBOSE_CDCL printf("resizing done.\n"); fflush(stdout); #endif //We update the watched variables now. First the first watcher will always be the asserting literal. cdcl_watcher_checkMemoryForWatcher1(cdcl_learnedConflictClauseAssLit); watches1pos[numCDCLClauses] = watches1[cdcl_learnedConflictClauseAssLit][0]; watches1[cdcl_learnedConflictClauseAssLit][2+watches1[cdcl_learnedConflictClauseAssLit][0]] = numCDCLClauses; ++watches1[cdcl_learnedConflictClauseAssLit][0]; watches1[cdcl_learnedConflictClauseAssLit][2+watches1[cdcl_learnedConflictClauseAssLit][0]] = -1; watchedLiteral1[numCDCLClauses] = cdcl_learnedConflictClauseAssLit; watchedLiteral2[numCDCLClauses] = 0; #ifdef VERIFICATION_CDCL verification_cdcl_learnedClauseHasFirstWatcher(); #endif if (cdcl_learnedConflictClauseWatcher2 != 0){ //If the learning scheme decided on a second watcher, we will use it here. cdcl_watcher_checkMemoryForWatcher2(cdcl_learnedConflictClauseWatcher2); watchedLiteral2[numCDCLClauses] = cdcl_learnedConflictClauseWatcher2; watches2pos[numCDCLClauses] = watches2[cdcl_learnedConflictClauseWatcher2][0]; watches2[cdcl_learnedConflictClauseWatcher2] [2+watches2[cdcl_learnedConflictClauseWatcher2][0]] = numCDCLClauses; ++watches2[cdcl_learnedConflictClauseWatcher2][0]; watches2[cdcl_learnedConflictClauseWatcher2][2+watches2[cdcl_learnedConflictClauseWatcher2][0]] = -1; #ifdef VERIFICATION_CDCL //Here we do assert, that searching for a new second watcher was indeed successful. verification_cdcl_learnedClauseHasSecondWatcher(); #endif } #ifdef VERIFICATION_CDCL else { //Else a unit clause has no second watcher and we keep it at 0. verification_cdcl_verifyLearnedClauseIsUnit(); } #endif //Since we only learn asserting clauses which become unit in the decision level we will back-jump to, we can //add the asserting literal of the clause to the unit propagation buffer right away to make the solver //propagate the new knowledge. The reason for this is of course the newly added asserting clause. cdcl_addToUnitPropBuffer(cdcl_learnedConflictClauseAssLit,numCDCLClauses); #ifdef VERBOSE_CDCL printf("c\tNewly learned conflict clause of size %i is ", cdcl_learnedConflictClauseSize); cdcl_printClauseInline(numCDCLClauses);printf("\n"); printf("c\tThe assignment levels of the watched literals are: %i, %i\n", cdcl_assignmentLevel[abs(watchedLiteral1[numCDCLClauses])], cdcl_assignmentLevel[abs(watchedLiteral2[numCDCLClauses])]); printf("c\tAdding asserting literal to unit prop buffer: %i\n",cdcl_learnedConflictClauseAssLit); fflush(stdout); #endif //Finally, we increase the count of clauses at the CDCLs disposal. ++numCDCLClauses; //We append the placeholder for a new clause that can be learned. clauseLiterals = realloc(clauseLiterals, sizeof(int*)*(numCDCLClauses+1)); clauseLiterals[numCDCLClauses] = malloc(sizeof(int)*(numVars+1)); clauseLiterals[numCDCLClauses][0] = 0; } #endif /* UNITWALK */ ////////////////////////////////////////////////////GENERAL //This method is called once during the start of the solver and handles the initialization of the CDCL. void cdcl_allocateAndInitialize(){ register int i,cNum,lit; #ifdef LONGHEADER printf("c Allocating CDCL memory...\n");fflush(stdout); #endif //GENERAL cdcl_lubyUnit = 5; //TODO: Needs better adaption. currentDecLevel = 0; //We start in decision level 0. cdcl_callNumber = 0; //Initially, no calls have been made. maxNumberOfConflicts = 1; //Initially, the maximum number of conflicts is 1 (is overridden). numberOfConflicts = 0; //The discovered number of conflicts. numCDCLClauses = numClauses; //Initially, we have all the clauses of the formula. #ifdef TIMING cdcl_callStarttime = 0.0f; cdcl_callEndtime = 0.0f; cdcl_runtime = 0.0f; #endif //VARIABLE SPECIFIC ARRAYS tvalue = malloc(sizeof(unsigned char)*(numVars+1)); for (i = 0; i < numVars+1;++i){tvalue[i] = 2;} //CDCL UNIT PROPAGATION RELATED cdcl_unitPropBuffer = malloc(sizeof(int)*(numVars)); cdcl_reasonPropBuffer = malloc(sizeof(int)*(numVars)); cdcl_unitPropBufferPos = cdcl_unitPropBuffer; cdcl_unitPropBufferLast = cdcl_unitPropBuffer; cdcl_unitPropBufferMax = cdcl_unitPropBuffer + numVars; cdcl_reasonPropBufferPos = cdcl_reasonPropBuffer; cdcl_reasonPropBufferLast = cdcl_reasonPropBuffer; cdcl_reason = malloc(sizeof(int) * (numVars+1)); cdcl_assignmentLevel = malloc(sizeof(int) * (numVars+1)); //DECISION STACK RELATED maxDecLevel = MAXINITDECLEVELS; cdcl_decisionStack_assignments = malloc(sizeof(int*)*MAXINITDECLEVELS); for (i = 0; i < MAXINITDECLEVELS; i++){ cdcl_decisionStack_assignments[i] = malloc(sizeof(int)*(2+MAXINITELEMENTS)); cdcl_decisionStack_assignments[i][0] = 0; //No elements stored in the beginning. cdcl_decisionStack_assignments[i][1] = MAXINITELEMENTS; //For how many elements did we allocate memory. cdcl_decisionStack_assignments[i][2] = 0; //Terminate. } //WATCHED LITERALS RELATED //We must initialize the watched literal lists. Each clause has two. //We also initialize the watches list, that tells you what clause a variable currently watches. watches1 = malloc(sizeof(int*)*(2*numVars+1)); watches1 += numVars; for (i = -numVars; i < numVars+1; ++i){ watches1[i] = malloc(sizeof(int)*(MAXINITELEMENTS+2)); watches1[i][0] = 0; watches1[i][1] = MAXINITELEMENTS; watches1[i][2] = -1; } watches2 = malloc(sizeof(int*)*(2*numVars+1)); watches2 += numVars; for (i = -numVars; i < numVars+1; ++i){ watches2[i] = malloc(sizeof(int)*(MAXINITELEMENTS+2)); watches2[i][0] = 0; watches2[i][1] = MAXINITELEMENTS; watches2[i][2] = -1; } watchedLiteral1 = malloc(sizeof(int)*numClauses); watchedLiteral2 = malloc(sizeof(int)*numClauses); watches1pos = malloc(sizeof(int)*numClauses); watches2pos = malloc(sizeof(int)*numClauses); //Hint: When searching for watched literals, we can take any literal at this point, because none of them //has a tvalue != 2. Basically you can say that all variables are unassigned and therefore can all serve as //watchers. //Find watched literals for clauses. Clauses that are set to be ignored must be ignored here. for (cNum = 0; cNum < numCDCLClauses; cNum++){ #ifdef PREPROCESSING if (cNum < numClauses && isIgnoredClause[cNum]) { //Only clauses the SLS knows can be ignored. watchedLiteral1[cNum] = 0; watchedLiteral2[cNum] = 0; watches1pos[cNum] = -1; watches2pos[cNum] = -1; continue; //Skip this if ignored. } #endif lit = clauseLiterals[cNum][0]; cdcl_watcher_checkMemoryForWatcher1(lit); //Set the first watched literal of this clause. watches1[lit][2+watches1[lit][0]] = cNum; watches1pos[cNum] = watches1[lit][0]; ++watches1[lit][0]; watches1[lit][2+watches1[lit][0]] = -1; watchedLiteral1[cNum] = lit; //Here we additionally set the second watched literal for the clause. Obviously, it should be something //else than the first watched literal. We must respect UNIT CLAUSES. if (clauseLiterals[cNum][1] == 0){ //It is a unit clause. No second watched literal is possible. watchedLiteral2[cNum] = 0; watches2pos[cNum] = -1; //Since it is a unit clause, we add it to the unit propagation buffer in decision level 0. cdcl_addToUnitPropBuffer(clauseLiterals[cNum][0],cNum); } else { //We need to find another literal in the clause that is not yet the first watching literal. lit = clauseLiterals[cNum][1]; cdcl_watcher_checkMemoryForWatcher2(lit); //Set the second watched literal of this clause to be the one literal we just checked. watches2[lit][2+watches2[lit][0]] = cNum; watches2pos[cNum] = watches2[lit][0]; ++watches2[lit][0]; watches2[lit][2+watches2[lit][0]] = -1; watchedLiteral2[cNum] = lit; } } //DECISION VARIABLE SELECTION RELATED hVar = malloc(sizeof(struct scoredvar)*(numVars)); #ifdef HIHEURISTIC //If the HIheuristic is in use, we initialize its stuff. if (heuristic == HEURHI){ variable_rank_hi = malloc(sizeof(int)*(numVars+1)); variable_order_hi = malloc(sizeof(int)*(numVars+1)); int j; #ifdef LONGHEADER printf("c\tUsing HI-heuristic for variable selection.\n"); #endif lScore_size = malloc(sizeof(float)*(maxClauseSize+1)); s = malloc(sizeof(float)*(HIDEPTH+1)); //The s_i values for the hi-heuristic. for (i = 0; i < HIDEPTH+1; ++i){ s[i] = 0.0; //Initialized to 0.0. } lScore = malloc(sizeof(float*) * (HIDEPTH+1)); //The values of the h_i heuristic in iteration i. for (i = 0; i < HIDEPTH+1; ++i){ lScore[i] = malloc(sizeof(float) * (2*numVars+1)); if (i == 0){ //In the first level, the literals have all score 1.0 for (j = 0; j < 2*numVars+1; ++j){ lScore[i][j] = 1.0; } } else { //In all higher levels, their score value is initialized to 0. for (j = 0; j < 2*numVars+1; ++j){ lScore[i][j] = 0.0; } } lScore[i] += numVars;//Shift the pointer to the array center. } cdcl_hiHeuristic(); for (i = 1; i < numVars+1; ++i){ hVar[i-1].var = i; hVar[i-1].totalScore = lScore[HIDEPTH][i]*lScore[HIDEPTH][-i]; } //We sort the variables according to their HI-scores. qsort(hVar,numVars,sizeof(struct scoredvar),cdcl_compareScoredVar_totalscore_max); for (i = 0; i < numVars; ++i){ variable_rank_hi[hVar[i].var] = i+1; variable_order_hi[i+1] = hVar[i].var; } variable_rank = variable_rank_hi; variable_order = variable_order_hi; } #endif #ifdef VSIDSHEURISTIC //If the VSIDS heuristic is in use, we initialize its stuff. if (heuristic == HEURVSIDS){ variable_rank_vsids = malloc(sizeof(int)*(numVars+1)); variable_order_vsids = malloc(sizeof(int)*(numVars+1)); #ifdef LONGHEADER printf("c\tUsing VSIDS-heuristic for variables selection.\n"); #endif #ifdef VSIDS_INCREASEINCONFLICT bump_factor_conflict = 1.0; #ifdef LONGHEADER printf("c\tBump factor for conflict bump is %f.\n",bump_factor_conflict); #endif #endif #ifdef VSIDS_INCREASEINFLIPS bump_factor_flips = 1.0; #ifdef LONGHEADER printf("c\tBump factor for flip bump is %f.\n",bump_factor_flips); #endif #endif //Here we prepare the VSIDS heuristic score arrays. vsidsScore = malloc(sizeof(float)*(numVars+1)); for (i = 0; i < numVars+1; ++i){ vsidsScore[i] = 1.0;//In the beginning, all variables are equally important. } variable_rank = variable_rank_vsids; variable_order = variable_order_vsids; } #endif #ifdef AGEHEURISTIC if (heuristic == HEURAGE){ variable_rank_age = malloc(sizeof(int)*(numVars+1)); variable_order_age = malloc(sizeof(int)*(numVars+1)); #ifdef LONGHEADER printf("c\tUsing AGE-heuristic for variable selection. "); #ifdef AGEYOUNG printf("Youngest variable first.\n"); #else printf("Oldest variable first.\n"); #endif #endif variable_rank = variable_rank_age; variable_order = variable_order_age; } #endif #ifdef RANDOMHEURISTIC if (heuristic == HEURRAND){ variable_rank_random = malloc(sizeof(int)*(numVars+1)); variable_order_random = malloc(sizeof(int)*(numVars+1)); #ifdef LONGHEADER printf("c\tUsing RANDOM-heuristic for variable selection. "); #endif variable_rank = variable_rank_random; variable_order = variable_order_random; } #endif #ifndef HIHEURISTIC #ifndef VSIDSHEURISTIC #ifndef AGEHEURISTIC #ifndef RANDOMHEURISTIC if (heuristic == HEURSIMPLE){ #ifdef LONGHEADER printf("c\tUsing simple variable selection heuristic.\n"); #endif variable_rank_simple = malloc(sizeof(int)*(numVars+1)); variable_order_simple = malloc(sizeof(int)*(numVars+1)); //In case there must be something done for the simple selection scheme, we can do it here. //We use the number of literal occurrences multiplied to get scores for the variables to sort them. for (i = 0; i < numVars; ++i){ hVar[i].var = i+1; hVar[i].totalScore = clauseAppearance[i+1][0] * clauseAppearance[-(i+1)][0]; } qsort(hVar,numVars,sizeof(struct scoredvar),cdcl_compareScoredVar_totalscore_max); for (i = 0; i < numVars; ++i){ variable_rank_simple[hVar[i].var] = i+1; variable_order_simple[i+1] = hVar[i].var; } variable_rank = variable_rank_simple; variable_order = variable_order_simple; } #endif #endif #endif #endif //CONFLICT ANALYSIS RELATED #ifndef UNITWALK //A learned clause could, in theory, contain a literal from every variable. Thats why the learned clause array //is initialized that big in the following. We simply add the "placeholder" for a new clause at the end of the //clause literals array. clauseLiterals = realloc(clauseLiterals, sizeof(int*)*(numCDCLClauses+1)); clauseLiterals[numCDCLClauses] = malloc(sizeof(int)*(numVars+1)); clauseLiterals[numCDCLClauses][0] = 0; cdcl_backjumpTargetLevel = 0; printf("c\tCDCL operates in standard mode.\n"); #ifdef LEARNUIP #ifdef LONGHEADER printf("c\tUIP conflict analysis is in use. "); #ifdef FIRSTUIP printf("Search for first UIP.\n"); #else printf("Search for last UIP.\n"); #endif #endif cdcl_UIPAdded = malloc(sizeof(unsigned char)*(numVars+1)); cdcl_UIPReplacementBuffer = malloc(sizeof(int)*(numVars+1)); #else #ifdef LONGHEADER printf("c\tSimple conflict analysis is in use.\n"); #endif #endif #else #ifdef LONGHEADER printf("c\tCDCL operates in UNITWALK-mode. Conflict analysis is disabled.\n"); #endif #endif /* UNITWALK */ //COLLECT INFORMATION RELATED #ifdef COLLINF_CDCL cdcl_learnedClausesOfLength = malloc(sizeof(int)*numVars); for (i=0; i < numVars; i++){cdcl_learnedClausesOfLength[i] = 0;} cdcl_lastCall = 0; cdcl_necNumUnsatClsIncreases = 0; cdcl_callDistances = 0; cdcl_necNumUnsatClsDecreases = 0; cdcl_numberOfBackjumps = 0; cdcl_numUnitPropBufferIncreases = 0; cdcl_numberOfDecisions = 0; cdcl_numPropsBasedOnLearned = 0; cdcl_numPropsBasedOnLearnedLastCall = 0; cdcl_numBackjumpsLastCall = 0; #ifdef SIMPLECALLING cdcl_maxNecNumUnsatCls = necNumberOfUnsatCls; #endif #ifdef TRANSFERASSIGNMENTCHANGES cdcl_numTransferredAssignmnetChanges = 0; #endif #endif #ifdef VERIFICATION_CDCL verification_cdcl_verifyMemoryAllocation(); #endif #ifdef LONGHEADER printf("c done.\n");fflush(stdout); #endif } #ifdef DISPOSE //This method will take care of disposing all the allocated memory for the CDCL. void cdcl_dispose(){ register int i; #ifdef LONGHEADER printf("c\tDisposing CDCL memory... ");fflush(stdout); #endif //VARIABLE SPECIFIC ARRAYS free(tvalue); //WATCHED LITERALS RELATED for (i = -numVars; i < numVars+1; ++i){free(watches1[i]);} watches1 -= numVars; free(watches1); for (i = -numVars; i < numVars+1; ++i){free(watches2[i]);} watches2 -= numVars; free(watches2); free(watchedLiteral1); free(watchedLiteral2); free(watches1pos); free(watches2pos); //UNIT PROPAGATION RELATED free(cdcl_unitPropBuffer); free(cdcl_reasonPropBuffer); free(cdcl_reason); free(cdcl_assignmentLevel); //DECISION STACK RELATED for (i = 0; i < maxDecLevel; i++){free(cdcl_decisionStack_assignments[i]);} free(cdcl_decisionStack_assignments); //PICKING OF DECISION VARIABLE RELATED free(hVar); #ifdef HIHEURISTIC if (heuristic == HEURHI){ free(variable_rank_hi); free(variable_order_hi); free(s); for (i = 0; i < HIDEPTH+1; ++i){lScore[i] -= numVars;free(lScore[i]);} free(lScore); free(lScore_size); } #endif #ifdef VSIDSHEURISTIC if (heuristic == HEURVSIDS){ free(variable_rank_vsids); free(variable_order_vsids); free(vsidsScore); } #endif #ifdef AGEHEURISTIC if (heuristic == HEURAGE){ free(variable_rank_age); free(variable_order_age); } #endif #ifdef RANDOMHEURISTIC if (heuristic == HEURRAND){ free(variable_rank_random); free(variable_order_random); } #endif #ifndef HIHEURISTIC #ifndef VSIDSHEURISTIC #ifndef AGEHEURISTIC #ifndef RANDOMHEURISTIC if (heuristic == HEURSIMPLE){ free(variable_order_simple); free(variable_rank_simple); } #endif #endif #endif #endif //CONFLICT ANALYSIS RELATED #ifndef UNITWALK #ifdef LEARNUIP //If first UIP is in use, we dispose its stuff used for learning. free(cdcl_UIPReplacementBuffer); free(cdcl_UIPAdded); #endif #endif //COLLECTING INFORMATION RELATED #ifdef COLLINF_CDCL free(cdcl_learnedClausesOfLength); #endif #ifdef LONGHEADER printf("done.\n");fflush(stdout); #endif } #endif //This method will initialize a call to the CDCL. void cdcl_initCall(){ //All actions that need to be performed ahead of the CDCL call are done here. #ifdef VERBOSE_CDCL printf("c Initializing CDCL call... ");fflush(stdout); #endif ++cdcl_callNumber; cdcl_returnValue = UNKNOWN; currentDecLevel = 0; numberOfConflicts = 0; cdcl_unitPropLastAdded = 0; cdcl_unitPropBufferLast = cdcl_unitPropBuffer; cdcl_unitPropBufferPos = cdcl_unitPropBuffer; cdcl_reasonPropBufferPos = cdcl_reasonPropBuffer; cdcl_reasonPropBufferLast = cdcl_reasonPropBuffer; #ifndef UNITWALK #ifdef USELUBYSERIES maxNumberOfConflicts = cdcl_getLuby(cdcl_callNumber); #else maxNumberOfConflicts = cdcl_lubyUnit; #endif #ifdef VERBOSE_CDCL printf("%i conflicts must be found (CDCL standard mode)...\n",maxNumberOfConflicts); #endif #else maxNumberOfConflicts = 1; #ifdef VERBOSE_CDCL printf("%i conflicts must be found (CDCL unit walk mode)...\n",maxNumberOfConflicts); #endif #endif #ifdef VSIDSHEURISTIC //If the VSIDS heuristic is in use, we use the basic VSIDS scores to compute a variable sort. if (heuristic == HEURVSIDS){ int j; for (j = 0; j < numVars; ++j){ hVar[j].var = j+1; hVar[j].totalScore = vsidsScore[j+1]; } #ifdef VSIDSMAX //We sort the variable such that those with higher score appear first. qsort(hVar,numVars,sizeof(struct scoredvar),cdcl_compareScoredVar_totalscore_max); #else //We sort the variables such that those with lower score appear first. qsort(hVar,numVars,sizeof(struct scoredvar),cdcl_compareScoredVar_totalscore_min); #endif for (j = 0; j < numVars; ++j){ variable_rank_vsids[hVar[j].var] = j+1; variable_order_vsids[j+1] = hVar[j].var; } } #endif #ifdef AGEHEURISTIC if (heuristic == HEURAGE){ int i; for (i = 0; i < numVars; ++i){ hVar[i].var = i+1; hVar[i].totalScore = lastFlipped[i+1]; } #ifdef AGEYOUNG qsort(hVar,numVars,sizeof(struct scoredvar),cdcl_compareScoredVar_totalscore_max); #else qsort(hVar,numVars,sizeof(struct scoredvar),cdcl_compareScoredVar_totalscore_min); #endif for (i = 0; i < numVars; ++i){ variable_rank_age[hVar[i].var] = i+1; variable_order_age[i+1] = hVar[i].var; } } #endif #ifdef RANDOMHEURISTIC if (heuristic == HEURRAND){ int z, c = clock(); for (z = 0; z < numVars; ++z){ hVar[z].var = z+1; hVar[z].totalScore = (c*(z+clauseAppearance[(c+z)%numVars][0]))%(numVars+1); } qsort(hVar,numVars,sizeof(struct scoredvar),cdcl_compareScoredVar_totalscore_max); for (z = 0; z < numVars; ++z){ variable_rank_random[hVar[z].var] = z+1; variable_order_random[z+1] = hVar[z].var; } } #endif #ifdef COLLINF_CDCL cdcl_numBackjumpsLastCall = 0; cdcl_numPropsBasedOnLearnedLastCall = 0; #endif #ifdef VERBOSE_CDCL printf("c done initializing call.\n");fflush(stdout); #endif } //This method will propagate all the assignments found on the propagation buffer. It will also initialize the //update of the watched literals. It detects conflicts. void cdcl_propagateAssignments(){ register int toEnforce,cNum,*arrPtr; for ( //In this for loop, we have no initial condition. ; //We keep propagating until everything is propagated. cdcl_unitPropBufferPos != cdcl_unitPropBufferLast; //For the next run of the for-loop, we increase the unit prop buffer and reason prop buffer pointers. cdcl_unitPropBufferPos++, cdcl_reasonPropBufferPos++ ){ #ifdef VERBOSE_CDCL cdcl_printPropagationBuffers(); #endif //If a variable from the propagation buffer is already assigned (can happen because multiple clauses //could imply a variable multiple times and then it is found multiple times here), we simply continue with //the next variable, because for the current one, nothing has to be done. if (tvalue[abs(*cdcl_unitPropBufferPos)] != 2) { #ifdef VERBOSE_CDCL printf("c Skipping because variable %i is already assigned.\n", *cdcl_unitPropBufferPos); #endif continue; } #ifdef VERBOSE_CDCL printf("c Assigning variable: %i = %i because of ", *cdcl_unitPropBufferPos, (*cdcl_unitPropBufferPos > 0) ? 1 : 0); if (*cdcl_reasonPropBufferPos > -1){ printf("reason ");cdcl_printClauseInline(*cdcl_reasonPropBufferPos); printf("\n");fflush(stdout); } else { printf("a decision.\n");fflush(stdout); } #endif //First we make the assignment. tvalue[abs(*cdcl_unitPropBufferPos)] = (*cdcl_unitPropBufferPos > 0) ? 1 : 0; cdcl_decisionStack_addVariableAssignment(currentDecLevel, *cdcl_unitPropBufferPos,*cdcl_reasonPropBufferPos); #ifdef COLLINF_CDCL if (*cdcl_reasonPropBufferPos >= numOriginalClauses) { ++cdcl_numPropsBasedOnLearned; ++cdcl_numPropsBasedOnLearnedLastCall; } #endif //Here we have a literal *cdcl_unitPropBufferPos that is not yet assigned but unit propagation demands it //getting assigned. Making a literal true demands for no further actions in CDCL, so we only have to //check the negative literal. We call this literal with opposite sign toEnforce. toEnforce = -(*cdcl_unitPropBufferPos); //The following things are to be done: // Find a new watched literal for all clauses having toEnforce as first watcher. // Find a new watched literal for all clauses having toEnforce as second watcher. // Find new responsible literals for all clauses where toEnforce is a responsible literal. //In order to perform these tasks, we keep close to the proposal of Stephan Kottlers paper "Decision //Making with Reference Points". //CHECK CLAUSES WHERE TOENFORCE IS FIRST WATCHER #ifdef VERBOSE_CDCL printf("c Handling the watches1 array.\nc Checking: ");fflush(stdout); for (arrPtr = watches1[toEnforce]+2; *arrPtr != -1; arrPtr++){ printf("%i ", *arrPtr); } printf("\n");fflush(stdout); #endif for (arrPtr = watches1[toEnforce]+2; (cNum = *arrPtr) != -1; ++arrPtr){ //Here *cNum is a clause having toEnforce as first watcher. We try to replace it. #ifdef VERBOSE_CDCL printf("c Clause ");cdcl_printClauseInline(cNum);fflush(stdout); #endif cdcl_watcher_findNewFirst(cNum); //The above call will replace the first watcher if possible. If it does not succeed in doing so, //nothing changes for the first watcher of *cNum. if (watchedLiteral1[cNum] == toEnforce){ //We where unsuccessful in replacing the first watcher. This can have two reasons. if (clauseLiterals[cNum][1] == 0){ //First, cNum is a unit clause and just got its one literal made false. This is a conflict. #ifdef VERIFICATION_CDCL verification_cdcl_verifyWatcher1Adaption_case1(cNum); #endif #ifdef VERBOSE_CDCL printf(" is a UNIT CONFLICT(#%i).\n",numberOfConflicts);fflush(stdout); #endif conflictClause = cNum; //Set the conflict clause. cdcl_returnValue = CONFLICT;//Signal that a conflict was discovered. break; //We can stop maintaining the arrays. We must back-jump anyway. } else { //Second, cNum is not a unit clause but we could not find a new first watcher because there //is no literal in the clause yet unassigned. The second watcher must either be making the //clause or, must be used for unit propagation, or we found a conflict. if (tvalue[abs(watchedLiteral2[cNum])] == 2){ //Can be used for unit propagation. #ifdef VERIFICATION_CDCL verification_cdcl_verifyWatcher1Adaption_case2(cNum); #endif #ifdef VERBOSE_CDCL printf(" is unit in watcher 2. Add literal %i to propagation buffer with reason %i.\n", watchedLiteral2[cNum], cNum);fflush(stdout); #endif cdcl_addToUnitPropBuffer(watchedLiteral2[cNum],cNum); } else if ((tvalue[abs(watchedLiteral2[cNum])] > 0) != (watchedLiteral2[cNum] > 0)){ //Is a conflict. #ifdef VERIFICATION_CDCL verification_cdcl_verifyWatcher1Adaption_case3(cNum); #endif #ifdef VERBOSE_CDCL printf(" is a CONFLICT(#%i).\n",numberOfConflicts);fflush(stdout); #endif conflictClause = cNum; //Set the conflict clause. cdcl_returnValue = CONFLICT;//Signal that a conflict was discovered. break; //We can stop maintaining the arrays. We must back-jump anyway. } else { //Is satisfied. #ifdef VERIFICATION_CDCL verification_cdcl_verifyWatcher1Adaption_case4(cNum); #endif #ifdef VERBOSE_CDCL printf(" is satisfied by second watcher.\n");fflush(stdout); #endif } } } else { //We succeeded in replacing the first watcher. //The replacement of the first watcher caused the watches1 array to change. A not yet checked //clause is found at the current position cNum in this array. We therefore undo the increment //of cNum here so we do not miss the clause that newly appeared at the position cNum. #ifdef VERBOSE_CDCL printf(" got watcher 1 replaced.\n");fflush(stdout); #endif --arrPtr; } #ifdef VERBOSE_CDCL printf("c Clause ");cdcl_printClauseInline(cNum);printf(" was updated successfully.\n");fflush(stdout); #endif } //We have now maintained all the clauses where toEnforce was the first watcher. If this resulted in a //conflict, we can abort the propagations here. if (cdcl_returnValue == CONFLICT) break; //This terminates the outer for loop. //From this position on, we do know that replacing the first watchers was successful. We can now check out //the second watchers in an almost similar for-loop. #ifdef VERBOSE_CDCL printf("c Handling the watches2 array.\nc Checking: "); for (arrPtr = watches2[toEnforce]+2; *arrPtr != -1; arrPtr++){ printf("%i ", *arrPtr); } printf("\n");fflush(stdout); #endif for (arrPtr = watches2[toEnforce]+2; (cNum = *arrPtr) != -1; ++arrPtr){ //If cNum is a unit clause, replacing the second watcher is useless since the clause cannot have a //second watcher. We assert this here. #ifdef VERIFICATION_CDCL verification_cdcl_verifyWatcher2Adaption_case0(cNum); #endif //Here cNum is a clause having toEnforce as second watcher. We try to replace it. #ifdef VERBOSE_CDCL printf("c Clause ");cdcl_printClauseInline(cNum);fflush(stdout); #endif cdcl_watcher_findNewSecond(cNum); //The above call will replace the second watcher if possible. If it does not succeed in doing so, //nothing changes for the second watcher of cNum. if (watchedLiteral2[cNum] == toEnforce){ //We where unsuccessful in replacing the second watcher. This can have two reasons. if (clauseLiterals[cNum][1] == 0){ //First, cNum is a unit clause and just got its one literal made false. This is a conflict. #ifdef VERIFICATION_CDCL verification_cdcl_verifyWatcher2Adaption_case1(cNum); #endif #ifdef VERBOSE_CDCL printf(" is a CONFLICT(#%i).\n",numberOfConflicts);fflush(stdout); #endif conflictClause = cNum; //Set the conflict clause. cdcl_returnValue = CONFLICT; //Signal that a conflict was discovered. break; //We can stop maintaining the arrays. We must back-jump anyway. } else { //Second, cNum is not a unit clause but we could not find a new second watcher because there //is no literal in the clause yet unassigned. The first watcher must either be making the //clause or, must be used for unit propagation, or we found a conflict. if (tvalue[abs(watchedLiteral1[cNum])] == 2){ //Can be used for unit propagation. #ifdef VERIFICATION_CDCL verification_cdcl_verifyWatcher2Adaption_case2(cNum); #endif #ifdef VERBOSE_CDCL printf(" is unit in watcher 1. Add literal %i to propagation buffer with reason %i.\n", watchedLiteral1[cNum], cNum);fflush(stdout); #endif cdcl_addToUnitPropBuffer(watchedLiteral1[cNum],cNum); } else if ((tvalue[abs(watchedLiteral1[cNum])] > 0) != (watchedLiteral1[cNum] > 0)){ //Is a conflict. #ifdef VERIFICATION_CDCL verification_cdcl_verifyWatcher2Adaption_case3(cNum); #endif #ifdef VERBOSE_CDCL printf(" is a CONFLICT(#%i).\n",numberOfConflicts);fflush(stdout); #endif conflictClause = cNum; //Set the conflict clause. cdcl_returnValue = CONFLICT;//Signal that a conflict was discovered. break; //We can stop maintaining the arrays. We must back-jump anyway. } else { //Is satisfied. #ifdef VERIFICATION_CDCL verification_cdcl_verifyWatcher2Adaption_case4(cNum); #endif #ifdef VERBOSE_CDCL printf(" is satisfied by first watcher.\n");fflush(stdout); #endif } } } else { //We succeeded in replacing the second watcher. //The replacement of the second watcher caused the watches2 array to change. A not yet checked //clause is found at the current position cNum in this array. We therefore undo the increment //of cNum here so we do not miss the clause that newly appeared at the position cNum. #ifdef VERBOSE_CDCL printf(" got watcher 2 replaced.\n");fflush(stdout); #endif --arrPtr; } #ifdef VERBOSE_CDCL printf("c Clause ");cdcl_printClauseInline(cNum);printf(" was updated successfully.\n");fflush(stdout); #endif } //We have now maintained all the clauses where toEnforce was the second watcher. If this resulted in a //conflict, we can abort the propagations here. if (cdcl_returnValue == CONFLICT) break; //This terminates the outer for loop. } #ifdef VERBOSE_CDCL printf("c Done assigning variables.\n");fflush(stdout); #endif } int cdcl(){ #ifdef VERBOSE_CDCL printf("c Calling CDCL on flip %i, call number %i...\n", flips,cdcl_callNumber+1); #endif #ifdef COLLINF_CDCL cdcl_callDistances += (flips - cdcl_lastCall); #endif cdcl_initCall(); #ifdef VERBOSE_CDCL cdcl_printVariables(); cdcl_printClauses(); #endif #ifdef VERIFICATION_CDCL verification_cdcl_verifyInitCall(); verification_cdcl_verifyMemoryAllocation(); #endif #ifndef UNITWALK while (numberOfConflicts < maxNumberOfConflicts || currentDecLevel == 0){ #else while (numberOfConflicts < maxNumberOfConflicts){ #endif //Propagate any buffered decision (either by unit clauses, decision variables, or asserting literals). #ifdef VERIFICATION_CDCL verification_cdcl_verifyVariableStates(); verification_cdcl_verifyClauseStates(); #endif cdcl_returnValue = UNKNOWN; cdcl_propagateAssignments(); //We start at the beginning of the unit propagation buffer for every decision and conflict analysis. cdcl_unitPropBufferPos = cdcl_unitPropBuffer; cdcl_unitPropBufferLast = cdcl_unitPropBuffer; cdcl_reasonPropBufferPos = cdcl_reasonPropBuffer; cdcl_reasonPropBufferLast = cdcl_reasonPropBuffer; #ifdef VERBOSE_CDCL cdcl_printDecisionStack(); #endif if (cdcl_returnValue == UNKNOWN){ //No conflict was discovered. We must make a decision. #ifdef VERBOSE_CDCL printf("c CDCL DECISION HANDLING.\n");fflush(stdout); #endif //First we increase the decision level. cdcl_decisionStack_increaseDecisionLevel(); //Then we find a literal we want to satisfy. Depending on the flags and heuristic used, we point to //a different method here: // - Flag HIHEURISTIC enables cdcl_decisionStack_pickLiteralToSatisfy_HIheuristic(), // - Flag VSIDSHEURISTIC enables cdcl_decisionStack_pickLiteralToSatisfy_VSIDSheuristic(). // Which of the above is used depends on the instance and the adaptToInstance() in global.c. // - Otherwise the fall-back method cdcl_decisionStack_pickLiteralToSatisfy_simple() is used. cdcl_pickLiteralToSatisfy(); if (decisionLiteral == 0){ //None found. This means there is no more variable left to assign. All assigned without a conflict means: cdcl_returnValue = SAT; //Transfer over the found solution from tvalue to the assignment array of the SLS component. cdcl_transferSolutionToSLS(); break; } #ifdef VERBOSE_CDCL printf("c decisionLiteral: %i, rank: %i\n", decisionLiteral, variable_rank[abs(decisionLiteral)]); #endif #ifdef COLLINF_CDCL ++cdcl_numberOfDecisions; #endif } else { #ifdef VERBOSE_CDCL printf("c CDCL CONFLICT HANDLING.\n");fflush(stdout); printf("c The conflict clause is %i.\n", conflictClause); #endif if (currentDecLevel == 0){ //A conflict in decision level zero means we cannot satisfy this formula. solutionFoundBy = SOL_CDCL; cdcl_returnValue = UNSAT; #ifdef COLLINF_CDCL ++cdcl_learnedClausesOfLength[0]; #endif #ifdef VERBOSE_CDCL printf("c Decision level is 0. Formula is unsatisfiable.\n");fflush(stdout); #endif break; } #ifndef UNITWALK cdcl_conflictAnalysis_learn(); cdcl_conflictAnalysis_insertNewClause(); cdcl_decisionStack_backjump(cdcl_backjumpTargetLevel); #endif #ifdef VSIDS_INCREASEINCONFLICT if (heuristic == HEURVSIDS) cdcl_updateVSIDSScores(); #endif #ifdef COLLINF_CDCL ++cdcl_numberOfBackjumps; #endif ++numberOfConflicts; } } #ifdef TRANSFERASSIGNMENTCHANGES if (cdcl_returnValue == UNKNOWN || cdcl_returnValue == CONFLICT) cdcl_transferAssignmentChangesToSLS(); #endif //Back-jumping to level 0 means assign everything in tvalue to "2" to prepare the next call, but leave all //assignments made because of unit clauses alone. These stay for the next call to be already assigned. if (cdcl_returnValue == UNKNOWN || cdcl_returnValue == CONFLICT) cdcl_decisionStack_backjump(0); #ifdef VERBOSE_CDCL if (cdcl_returnValue == SAT){ printf("c CDCL call done. Return value is: SAT.\n"); } else if (cdcl_returnValue == UNSAT){ printf("c CDCL call done. Return value is: UNSAT.\n"); } else if (cdcl_returnValue == CONFLICT){ printf("c CDCL call done. Return value is: CONFLICT.\n"); } else { printf("c CDCL call done. Return value is: UNKNOWN.\n"); } #endif cdcl_lastCall = flips; return cdcl_returnValue; } //This is the main method for the CDCL solver. #endif /* HYBRID */ cdcl.h0000644011311700006200000002516211530465417012167 0ustar s_ogablestudent/* * cdcl.h * * Created on: 28.09.2010 * Author: Oliver Gableske * Content: This file contains all definitions and declarations for the CDCL component. */ #ifndef CDCL_H_ #define CDCL_H_ #include "global.h" #ifdef PREPROCESSING #include "preprocessor.h" #endif #ifdef TRANSFERASSIGNMENTCHANGES #include "sls.h" #endif #ifdef HYBRID //GLOBAL CONSTANTS enum { #ifdef HIHEURISTIC HIDEPTH = 5, //The number of levels in the HI-Heuristic that will be computed. #endif MAXINITDECLEVELS = 10, //The initial size (number of levels) of the decision stack. MAXINITELEMENTS = 1, //The number of elements that you initially allocate the memory for in a stack. HEURSIMPLE = 100, //The simple strategy for decision variable selection is in use. HEURHI = 101, //The HI heuristic is in use for selecting decision variables. HEURVSIDS = 102, //The VSIDS heuristic is in use for selecting decision variables. HEURAGE = 103, //The AGE heuristic is in use for selecting decision variables. HEURRAND = 104, //The RANDOM variable ordering heuristic is in use for selecting decision variables. CONFLICT = 3 //The status of the CDCL search if a conflict is found. }; //GENERAL int heuristic; //Tells you what variable selection heuristic is in use. int cdcl_lubyUnit; //The base value for the LUBY series calculation. unsigned int cdcl_callNumber; //The number of times the CDCL was called. unsigned int cdcl_lastCall; //The flip at which the CDCL has been called last. int maxNumberOfConflicts; //The maximum number of conflict the CDCL is allowed to run into before returning. int numberOfConflicts; //The number of encountered conflicts in the current call (not the total). int numCDCLClauses; //The total amount of clauses found in the clause literals array. The clauses that //are visible for the SLS are found in the same array, but only up to numClauses. //It always holds that numOriginalClauses <= numClauses <= numCDCLClauses. unsigned char cdcl_returnValue; //The return value of the CDCL component. #ifdef TIMING float cdcl_callStarttime; //Start time of a CDCL call. float cdcl_callEndtime; //End time of a CDCL call. float cdcl_runtime; //Total sum of all times of CDCL calls. #endif //VARIABLE RELATED int decisionLiteral; //The literal that is supposed to be satisfied in making the new decision. unsigned char* tvalue; //The currently overridden reference point. tvalue[7] = 2 means not overridden. //In this case the variable 7 is still assigned to assignment[7]. int** watches1; //Tells you what clauses are watched by the specific literal as the first watched //literal. First element in this array tells you how many the literal watches. //Second element tells you how much memory was allocated to hold elements. //Must be terminated with -1. int* watches1pos; //At what position is the clause found in watches1 array of the watching literal. //This info is given without the offset of +2. So if you want to find the clause //in watches1 you calculate: watches1[lit][2+watches1pos[clause]] == clause. int** watches2; //Tells you what clauses are watched by the specific literal as the second watched //literal. First element in this array tells you how many the literal watches. //Second element tells you how much memory was allocated to hold elements. //Must be terminated with -1. int* watches2pos; //At what position is the clause found in watches2 array of the watching literal. //This info is given without the offset of +2. So if you want to find the clause //in watches2 you calculate: watches2[lit][2+watches2pos[clause]] == clause. //CLAUSE RELATED int* watchedLiteral1; //The first watched literal for a clause. int* watchedLiteral2; //The second watched literal for a clause. int conflictClause; //The clause a conflict was discovered on. //DECISION STACK RELATED int currentDecLevel; //The current decision level the CDCL is working on. int maxDecLevel; //The number of decision levels we have memory allocated for in //decisionStack. In the beginning this is MAXINITDECLEVELS, meaning that //only cdcl_decisionStack_*[0 to MAXINITDECLEVELS-1] exist. int** cdcl_decisionStack_assignments; //Assignments made in the decision level. First element is the number of //made assignments. Second element tells you for how many elements in total //we have the memory allocated. Last element is 0. //UNITPROP RELATED int* cdcl_unitPropBuffer; //A variable ring-buffer containing literals of unit clauses. int cdcl_unitPropLastAdded; //The variable that was last added to the unit propagation buffer. int* cdcl_reasonPropBuffer; //For every unit propagation, we store the clause that is its reason. int* cdcl_unitPropBufferLast; //The last position in the ring buffer as a pointer. int* cdcl_unitPropBufferMax; //The maximum offset for the unit propagation buffer. int* cdcl_unitPropBufferPos; //The current position for the unit clause buffer as a pointer. int* cdcl_reasonPropBufferPos; //The pointer to the current position of the unit propagation but in the //reason buffer. This gives the reason for the current propagation. int* cdcl_reasonPropBufferLast; //The pointer to the last position in the reason propagation buffer. int* cdcl_reason; //The reason-clause why a variable was finally assigned. -1 means decision. int* cdcl_assignmentLevel; //In what level was a variable assigned. //CONFLICT ANALYSIS RELATED #ifndef UNITWALK int cdcl_learnedConflictClauseSize; //The size of the learned conflict clause. int cdcl_learnedConflictClauseAssLit; //The asserting literal of the newly learned conflict clause. It will also //serve as first watcher of the newly learned clause. int cdcl_learnedConflictClauseWatcher2; //The literal serving as second watcher. Usually the one assigned in the //back-jump target level. int cdcl_backjumpTargetLevel; //While learning a clause we determine what level we must back-jump to. #endif //PICKING OF DECISION VARIABLE RELATED int* variable_rank; //A pointer to the currently used ranking array. int* variable_order; //A pointer to the currently used order array. int* orderPtr; //A pointer pointing in the variables array ordered by their score. struct scoredvar { //A holder structure for some data, later used to calculate the variable_order and rank: int var; //A variable number. float totalScore; //The total score for variable. }; struct scoredvar* hVar; #ifdef HIHEURISTIC int* variable_rank_hi; //The rank of the variable according to the HI-heuristic. int* variable_order_hi; //The order of the variables. Highest ranked first according to the HI-heuristic. float* s; //The s values for the HI-heuristic. float** lScore; //The literal scores coded as lScore[i][lit]. float* lScore_size; //The not-normalized scores for a specific clause size. #endif #ifdef VSIDSHEURISTIC int* variable_rank_vsids; //The rank of the variables according to the VSIDS heuristic. int* variable_order_vsids; //The order of the variables. Highest/Lowest/Toggle first according to VSIDS and flags. float* vsidsScore; //An array containing the basic scores of the variables. #endif #ifdef AGEHEURISTIC int* variable_rank_age; //The rank of the variables according to their latest flip. int* variable_order_age; //The order of the variables. Oldest variable first. #endif #ifdef RANDOMHEURISTIC int* variable_rank_random; //The rank of the variables according to a random sorting. int* variable_order_random; //The order of the variables. A random variable first. #endif #ifndef HIHEURISTIC #ifndef VSIDSHEURISTIC #ifndef AGEHEURISTIC #ifndef RANDOMHEURISTIC int* variable_order_simple; int* variable_rank_simple; #endif #endif #endif #endif //CONFLICT ANALYSIS RELATED #ifndef UNITWALK #ifdef LEARNUIP int* cdcl_UIPReplacementBuffer; //The replacement buffer for creating a learned clause. unsigned char* cdcl_UIPAdded; //Whether a variable was added to replacement buffer. #endif #endif /* UNITWALK */ //FOR COLLECTING ADDITIONAL INFORMATION #ifdef COLLINF_CDCL unsigned int cdcl_callDistances; unsigned int cdcl_necNumUnsatClsIncreases; unsigned int cdcl_necNumUnsatClsDecreases; unsigned int cdcl_maxNecNumUnsatCls; unsigned int cdcl_numberOfDecisions; unsigned int cdcl_numberOfBackjumps; unsigned int cdcl_numBackjumpsLastCall; unsigned int cdcl_numPropsBasedOnLearnedLastCall; unsigned int cdcl_numPropsBasedOnLearned; unsigned int cdcl_numUnitPropBufferIncreases; #ifdef TRANSFERASSIGNMENTCHANGES unsigned int cdcl_numTransferredAssignmnetChanges; #endif int* cdcl_learnedClausesOfLength; #endif //GLOBAL FORWARD DECLARATIONS ////HELPHERS #ifdef VERBOSE_CDCL void cdcl_printClauseInline(int); void cdcl_printVariables(); void cdcl_printClauses(); void cdcl_printDecisionStack(); void cdcl_printPropagationBuffers(); #endif char cdcl_isPowerOfTwoOrZero(const unsigned int); inline int cdcl_fastLog2(unsigned int); int cdcl_getLuby(const unsigned int); inline void cdcl_transferSolutionToSLS(); inline unsigned char cdcl_getVariableAssignment(const int); inline void cdcl_addToUnitPropBuffer(const int,const int); int cdcl_compareScoredVar_totalscore_max(const void*, const void*); int cdcl_compareScoredVar_totalscore_min(const void*, const void*); #ifdef TRANSFERASSIGNMENTCHANGES inline void cdcl_transferAssignmentChangesToSLS(); #endif ////WATCHED LITERAL RELATED inline void cdcl_watcher_checkMemoryForWatcher1(const int); inline void cdcl_watcher_checkMemoryForWatcher2(const int); inline void cdcl_watcher_findNewFirst(const int); inline void cdcl_watcher_findNewSecond(const int); inline void cdcl_watcher_replaceFirst(const int, const int, const int); inline void cdcl_watcher_replaceSecond(const int, const int, const int); ////DECISION STACK RELATED inline void cdcl_decisionStack_addVariableAssignment(const int, const int, const int); inline int cdcl_decisionStack_getVariableAssignment(const int, const int); inline void cdcl_decisionStack_increaseDecisionLevel(); void cdcl_decisionStack_backjump(int); ////PICKING OF DECISION VARIABLE RELATED #ifdef HIHEURISTIC void cdcl_hiHeuristic(); #endif #ifdef VSIDS_INCREASEINCONFLICT inline void cdcl_updateVSIDSScores(); #endif void cdcl_pickLiteralToSatisfy(); ////CONFLICT ANALYSIS RELATED #ifndef UNITWALK #ifdef LEARNUIP void cdcl_conflictAnalysis_learnUIP(); #endif void cdcl_conflictAnalysis_learnSimple(); void (*cdcl_conflictAnalysis_learn)(); void cdcl_conflictAnalysis_insertNewClause(); #endif /* UNITWALK */ ////GENERAL void 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Bad input file? Error while reading the double: %s. Error while reading the float: %s. Error while reading the unsigned integer: %s. Error while reading the integer: %s. c Too few parameters. Exiting.c USAGE: ./EagleUP BENCHNAME RANDOMSEED [TIMEOUTINSECONDS]c e Error. You must specify an input file that you have read access to!c e Error. You must specify an input file that you have read access to! š™™™™™¹?ÍÌ,@ÈB$tI0€¿)\>?-DTû!ù¿-DTû!ù?ƒÈÉm0_Ô?c e Error because supposed solution fails verification:Error because supposed solution fails verification. c e Clause %i: %i(%i,%i) c Solution verified./proc/sys/kernel/osreleaseFATAL: kernel too old FATAL: cannot determine kernel version /dev/full/dev/nullset_thread_area failed when setting up thread-local storage ?bð0@3°.pD€&€ePL/€@GF@=°FG h0hbð0@%°.pD€&€eàO/€@GF@=ÐFG h0hbð0%°.pD€&€eàO/€@GF@=°FG h0hLIBC_FATAL_STDERR_/dev/tty======= Backtrace: ========= ======= Memory map: ======== /proc/self/maps,ccs=b ]ðM epv XpDpG€ePL\€ @GF@=°FG h0hb ] D epv X CÀ;€eàO`=€ @GF@=ÐFG h0hb ]P@ epv X@ð<€eàO\€ @GF@=°FG h0h`„ †ðƒ e „ðiÀ0ˆ€e€z`f€{hhàg`fðg h0hcorrupted double-linked listmalloc: top chunk is corruptmalloc: using debugging hooksTOP_PAD_PERTURB_MMAP_MAX_ARENA_MAXARENA_TESTPER_THREADTRIM_THRESHOLD_MMAP_THRESHOLD_Arena %d: system bytes = %10u in use bytes = %10u Total (incl. mmap): max mmap 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e K ŒŒW Œe ŒŒe  0000000000000000 0000000000000000Ð((@'ð& ' )0'`"  , †ðƒ e „ðiÀ0ˆ€e€zP,€{hhàg`fðg h0hUnknown error TZ/etc/localtimeUniversalUTC%[^0-9,+-]%hu:%hu:%huM%hu.%hu.%hu%nGMT../TZDIRTZifposixrules/usr/share/zoneinfo%H:%M%H:%M:%S%m/%d/%y%Y-%m-%d%I:%M:%S %pIgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMg iMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMg`i[j[kmMg$n›v8nDoMgMgMggoMgMg;rMg=ssq•q¡q›vÞq³p,vItMgMgMgMgMgMgDuŠoIsos]vMg›vŠoMgpáwžy’s¸sMgtMg%tÙpexxMgCx»wÁyÏxcannot create cache for search pathELF file data encoding not little-endianELF file version ident does not match current oneELF file version does not match current oneonly ET_DYN and ET_EXEC can be loadedELF file's phentsize not the expected sizefile=%s [%lu]; generating link map cannot create shared object descriptorELF load command address/offset not properly alignedobject file has no loadable segmentscannot dynamically load executablecannot change memory protectionsELF load command alignment not page-alignedcannot allocate TLS data structures for initial threadfailed to map segment from shared objectobject file has no dynamic sectionshared object cannot be dlopen()edcannot allocate memory for program headercannot enable executable stack as shared object requires dynamic: 0x%0*lx base: 0x%0*lx size: 0x%0*Zx entry: 0x%0*lx phdr: 0x%0*lx phnum: %*u cannot create search path arraycannot create RUNPATH/RPATH copy file=%s [%lu]; needed by %s [%lu] find library=%s [%lu]; searching cannot open shared object filecannot allocate name record search path=:%s (%s from file %s) (%s) file too shortcannot read file datainvalid ELF headerELF file OS ABI invalidELF file ABI version invalidinternal error trying file=%s cannot stat shared objectcannot map zero-fill pagescannot close file descriptorsystem search path:;ORIGINPLATFORMLIBlibRPATHRUNPATHwrong ELF class: ELFCLASS64/lib//usr/lib/ GNUELF/etc/ld.so.cache search cache=%s ld.so-1.7.0glibc-ld.so.cache1.1symbol=%s; lookup in file=%s [%lu] file=%s [%lu]; needed by %s [%lu] (relocation dependency) binding file %s [%lu] to %s [%lu]: %s symbol `%s' (no version symbols)symbol , version not defined in file with link time reference
relocation errorsymbol lookup errorprotectednormal [%s] undefined symbol: cannot allocate memory in static TLS blockcannot make segment writable for relocation%s: Symbol `%s' has different size in shared object, consider re-linking %s: no PLTREL found in object %s %s: out of memory to store relocation results for %s cannot restore segment prot after reloc (lazy) relocation processing: %s%s öÛýžýöö ÷ÛýÛýööööööýööööööööööööööööööööºýMýfýöOü8üöö$ö%ü%üöööööö}üööööööööööööööööööööbüáü¯üö÷ý þööÑú!þ!þöööööö4þööööööööööööööööööööfþ³þþöÎþ‘ÿöö­ÿÎþÎþööööööùþöööööööööööööööööööö[ÿxÿ*ÿunexpected reloc type 0xunexpected PLT reloc type 0xcannot apply additional memory protection after relocationDYNAMIC LINKER BUG!!!%s: %s: %s%s%s%s%s continuedfatal%s: error: %s: %s (%s) out of memoryerror while loading shared librariesdlopencannot create TLS data structures/proc/self/exeGLIBC_PRIVATE_dl_open_hookgconv_trans_contextgconv_transgconv_trans_initgconv_trans_end^[yY]^[nN]¡« ÿÿÿÿ»  » “½ “½ – ¡« ÿÿÿÿ.“½ “½ “½ “½ “½ “½ “½ x» x» x» x» x» x» x» x» ‹Ì x» x» x» x» x» x» “½ “½ x» x» x» x» x» x» x» x» x» x» x» x» x» x» u'¿¾õu'¿¾õ– ¡« ÿÿÿÿ1° “½ “½ .– SunMonTueWedThuFriSatSundayMondayTuesdayWednesdayThursdayFridaySaturdayJanFebMarAprMayJunJulAugSepOctNovDecJanuaryFebruaryMarchAprilJuneJulyAugustSeptemberOctoberNovemberDecemberAMPM%a %b %e %H:%M:%S %Y%a %b %e %H:%M:%S %Z %YSunMonTueWedThuFriSatSundayMondayTuesdayWednesdayThursdayFridaySaturdayJanFebMarAprMayJunJulAugSepOctNovDecJanuaryFebruaryMarchAprilJuneJulyAugustSeptemberOctoberNovemberDecemberAMPM%a %b %e %H:%M:%S %Y%m/%d/%y%H:%M:%S%I:%M:%S %p%a %b %e %H:%M:%S %Z %Y¡« ÿÿÿÿoœ¼  ¼ ¤¼ ¨¼ ¬¼ °¼ ´¼ ¸¼ ¿¼ Ƽ μ ؼ á¼ è¼ ñ¼ õ¼ ù¼ ý¼ ½ ½  ½  ½ ½ ½ ½ ½ !½ )½ 2½ 8½ ½ >½ C½ H½ O½ Y½ a½ j½ s½ v½ y½  ¬ ¬ ¬ “½ “½ “½ “½ “½ “½ “½ ¬½ ¼½ ̽ ܽ ì½ ü½  ¾ ¾ 8¾ T¾ t¾ œ¾ À¾ ܾ ¿ ¿  ¿ 0¿ @¿ P¿ `¿ p¿ €¿ ¿  ¿ °¿ À¿ à¿ À À @¿ 4À HÀ \À xÀ  À ÀÀ äÀ Á Á  Á tÁ ˜Á ¼Á ¼• ¼• ¼• ¼• ¼• Ž½ :¼0½ Ž½ ’½ ’½ “½ ”½ ìÁ – ¡« ÿÿÿÿ)Ò– %p%t%g%t%m%t%f¡« ÿÿÿÿpÄ “½ “½ “½ “½ “½ – %a%N%f%N%d%N%b%N%s %h %e %r%N%C-%z %T%N%c%N¡« ÿÿÿÿ ÀÄ “½ “½ “½ “½ “½ “½ “½ “½ “½ “½ “½ – +%c %a %l¡« ÿÿÿÿXÅ “½ “½ “½ – ¡« ÿÿÿÿ’½ – ISO/IEC 14652 i18n FDCC-setKeld Simonsenkeld@dkuug.dk+45 3122-6543+45 3325-6543ISO1.01997-12-20ISO/IEC JTC1/SC22/WG20 - internationalizationC/o Keld Simonsen, Skt. 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Please report this. closing file=%s; direct_opencount=%u file=%s [%lu]; destroying link map TLS generation counter wrapped! 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The array must be terminated with the terminator. If the //element value is not found in the array, the method will return the position of the found terminator with a //negative sign. If value is found in the array it returns the position of the element with a positive sign. int arrayContains(int* array, int value, int terminator){ register int i; for (i = 0; 1; i++){ if (array[i] == terminator) return -i; if (array[i] == value) return i; } return 0; } //To read an integer from the parameters of the program call. void readInteger(int argc, char *argv[], int i, int *varptr) { if (i >= argc || sscanf(argv[i],"%i", varptr)!=1){ fprintf(stderr, "Error while reading the integer: %s.\n", i= argc || sscanf(argv[i],"%u", varptr)!=1){ fprintf(stderr, "Error while reading the unsigned integer: %s.\n", i= argc || sscanf(argv[i],"%f", varptr)!=1){ fprintf(stderr, "Error while reading the float: %s.\n", i= argc || sscanf(argv[i],"%lf", varptr)!=1){ fprintf(stderr, "Error while reading the double: %s.\n", i 2){ #ifdef LONGHEADER printf("c\tTrying to read seed... "); #endif readInteger(argc, argv, 2, &seed); //Additionally provided seed. #ifdef LONGHEADER printf("%i.\n",seed); #endif srand(seed); } else { #ifdef LONGHEADER printf("c\tTrying to generate seed... "); #endif seed = (int)time(NULL); seed = seed << 16 | seed >> 16; seed = abs(seed); #ifdef LONGHEADER printf("%i.\n",seed); #endif srand(seed); } #ifdef TIMING if (argc > 3){ #ifdef LONGHEADER printf("c\tTrying to read max time in seconds... "); #endif readInteger(argc, argv, 3, &maxTime); #ifdef LONGHEADER printf("%i.\n",maxTime); #endif if (maxTime < 0){ fprintf(stderr,"c Error. You need to specify a positive time. 0 seconds means no timeout."); exit(-1); } } else { #ifdef LONGHEADER printf("c\tNo maxTime given, assuming infinite run.\n"); #endif maxTime = 0; } #else #ifdef LONGHEADER printf("c\tTiming disabled, assuming infinite run.\n"); #endif maxTime = 0; #endif //This part here can be used to read parameters from the command line. It is disabled for the competition. /* if (argc > 4){ #ifdef LONGHEADER printf("c\tTrying to read weight stepping... "); #endif int temp; readInteger(argc, argv, 4, &temp); weightStepping = (unsigned char) temp; #ifdef LONGHEADER printf("%i.\n",weightStepping); #endif } if (argc > 5){ #ifdef LONGHEADER printf("c\tTrying to read smooth probability... "); #endif readFloat(argc, argv, 5, &SP); #ifdef LONGHEADER printf("%f.\n",SP); #endif } if (argc > 6){ #ifdef LONGHEADER printf("c\tTrying to read tabu list length... "); #endif readInteger(argc, argv, 6, &tabulistlength); #ifdef LONGHEADER printf("%i.\n",tabulistlength); #endif } if (argc > 7){ #ifdef HYBRID #ifdef DISTRIBUTIONCAUCHY #ifdef LONGHEADER printf("c\tTrying to read cool-down parameters... "); #endif readDouble(argc, argv, 7, &CAUCHY_GAMMA); readDouble(argc, argv, 8, &CAUCHY_OFFSET_FRACTION); readInteger(argc, argv, 9, &CAUCHY_FLIPINCREASE); readInteger(argc, argv, 10, &CAUCHY_TABSIZE); #ifdef LONGHEADER printf("%f %f %i %i done.\n", CAUCHY_GAMMA, CAUCHY_OFFSET_FRACTION, CAUCHY_FLIPINCREASE, CAUCHY_TABSIZE); #endif #endif #endif } */ #ifdef LONGHEADER printf("c\n"); #endif } #ifdef VERBOSE_SLS //What follows is a set of functions used to produce some human readable output. //To print a clause in-line. This method does not produce a comment symbol and it does not produce a new-line. void printClauseInline(int** clauseLiterals,int cNum, int condensed){ register int i; if (condensed){ printf("[%6.1i] ", cNum); } else { printf("[%6.1i|%3.1i] ",cNum,weight[cNum]); } for (i = 0; i < clauseSize[cNum]; i++){ printf("%6.1i ", clauseLiterals[cNum][i]); } } //This method outputs the numbers of all clauses having a weight > 1. void printLargeWeightClauses(){ register int i; printf("c The %i clauses with weight > 1 are:\nc ",numLargeWeightClauses); for (i = 0; i < numLargeWeightClauses; i++){ printf("%i(%i) ",largeWeightClauses[i],weight[largeWeightClauses[i]]); } printf("\nc\n"); } //This method is used to print out all the clauses. void printClauses(){ register int i,j,satisfiedBy; printf("c The %i clauses of the formula [cNum|weight][isIgnored]{Literals}(trueVar):\n",numClauses); for (i = 0; i < numClauses; i++){ satisfiedBy = 0; printf("c [%i\t|%i\t]",i,weight[i]); #ifdef PREPROCESSING printf("[%i] ",isIgnoredClause[i]); #else printf(" "); #endif for (j = 0; j < clauseSize[i]; j++){ printf("%i{%i}\t",clauseLiterals[i][j],assignment[abs(clauseLiterals[i][j])]); if ((assignment[abs(clauseLiterals[i][j])] > 0) == (clauseLiterals[i][j] > 0)){ satisfiedBy++; } } if (numTrue[i] > 0){ printf("0\t\t<%i>(%i)\n",satisfiedBy, trueVar[i]); }else{ printf("0\t\t<%i>(%i)\t UNSAT\n",satisfiedBy, trueVar[i]); } } printf("c\n"); } //This method is used to print out all the variables along with their appearance listes and the partners they have. void printVariables(){ register int i,j,cNum,count; printf("c The %i variables of the formula appear in the flowing clauses:\n",numVars); for (i = 1; i < numVars+1; i++){ count = 0; printf("c [%i\t]\t",i); for (j=0; (cNum = clauseAppearance[i][j]) > -1; j++){ printf("%i ",cNum); ++count; } printf(" (%i total)\n",count); count = 0; printf("c [%i\t]\t",-i); for (j=0; (cNum = clauseAppearance[-i][j]) > -1; j++){ ++count; printf("%i ",cNum); } printf(" (%i total)\n",count); } printf("c\n"); printf("c The partners of the specific variable(number of Partners):\n"); for (i = 1; i < numVars+1; i++){ printf("c Partners %i:\t",i); count = 0; for (j=0; partners[i][j] != 0; j++){ printf("%5.i ", partners[i][j]); ++count; } printf(" (%i total)\n",count); } printf("c\n"); printf("c The initial assignment of the variables:"); for (i = 1; i < numVars+1; i++){ if (i % 10 == 1) printf("\nc "); printf("%7.i ", assignment[abs(i)] > 0 ? i : -i); } printf("\nc\n"); } //This method is used to print out all the scores of the varibales. void printVariableScores(){ register int i; register int sum = 0; for (i = 0; i < numUnsatClauses; i++){ sum = sum + weight[unsatClauses[i]]; } printf("c The scores of the variables:\n"); for (i = 1; i < numVars+1; i++){ printf("c\tVariable %i:\t%i\tisDecVars: %i ",i, score[i], isDecVars[i]); if (score[i] == sum){ printf(" Final flip possible!!! (flips:%u)\n", flips); //if (!isDecVars[i] && numUnsatClauses > 0) exit(0); } else { printf("\n"); } } printf("c\nc\n"); } //To print out all the decreasing variables from the decVars array. void printDecVars(){ register int i; printf("c The %i decreasing variables are:\nc ",numDecVars); for (i = 0; i < numDecVars; i++){ printf("%i(%i) ", decVars[i], score[decVars[i]]); } printf("\nc\n"); } //To print out all the decreasing variables from decVars in-line. void printDecVarsInline(){ register int i; printf("[%i]: ",numDecVars); for (i = 0; i < numDecVars; i++){ printf("%i(%i) ", decVars[i], score[decVars[i]]); } } //To print out all the unsatisfied clauses under the current assignment of the SLS. void printUnsatClauses(){ register int i; printf("c The %i unsatisfied Clauses:\nc ", numUnsatClauses); for (i = 0; i < numUnsatClauses; i++){ printf("%i(%i) ", unsatClauses[i], weight[unsatClauses[i]]); } printf("\nc\n"); } //To print out the current assignment as a bit-string. void printCurrentAssignment(){ register int i; printf("c Current assignment: "); for (i = 1; i < numVars+1; i++){ printf("%i",assignment[i]); } printf("\n"); } //To print out the current assignment as a bit-string in-line. void printCurrentAssignmentInline(){ register int i; printf("Assignment: "); for (i = 1; i < numVars+1; i++){ printf("%i",assignment[i]); } printf(" "); } #endif #ifdef LONGHEADER //To print out some formula statistics. void printFormulaStats(){ printf("c\n"); printf("c Formula stats:\n"); printf("c\tType:\t\t\t\tCNF\nc\tVariables:\t\t\t%i\nc\tClauses:\t\t\t%i\nc\tSmallest clause:\t%i\nc\tLargest clause:\t%i\n", numVars, numClauses, minClauseSize, maxClauseSize); int* numClausesOfSize = malloc(sizeof(int)*(maxClauseSize+1)); int i; for (i = 0; i < maxClauseSize+1; ++i){ numClausesOfSize[i] = 0; } for (i = 0; i < numClauses; ++i){ #ifdef PREPROCESSING if (isIgnoredClause[i]) continue; #endif ++numClausesOfSize[clauseSize[i]]; } printf("c\tNumber of clauses of specific size:\n"); for (i = 1; i < maxClauseSize+1; ++i){ if (numClausesOfSize[i] != 0) printf("c\t\t%6.1i:%20.1i\n",i,numClausesOfSize[i]); } free(numClausesOfSize); printf("c\n"); } #endif //This method is used to print out all the header information like version and authors. void printHeader(){ #ifdef HYBRID printf("c EagleUP SAT solver\n"); #else printf("c Eagle SAT solver\n"); #endif printf("c\tAUTHOR:\t\tOliver Gableske\t\t" "(Implemented most of the solver.)\n" "c\tCONTRIBUTORS:\tJulian Rueth\t\t" "(Implemented the Luby-series calculation.)\n" "c\t\t\tMarijn Heule\t\t\t(Provided various ideas.)\n"); printf("c\tVERSION:\t%i.%i.%i\n", VERSION_MAJOR, VERSION_SLS,VERSION_CDCL); #ifdef LONGHEADER printf("c\t\t\tSLS COMPONENT: %i \"Silvester Stallone\"\n",VERSION_SLS); printf("c\t\t\tDPLL COMPONENT: %i \"Arnold Schwarzenegger\"\n",VERSION_CDCL); printf("c\tLICENSE:\tFree use for scientific and teaching purposes, " "costly if you use it commercially (contact the author).\n"); printf("c\tCONSTANTS:\tMAXCLAUSESIZE:\t\t%i\n" "c\t\t\tRAND_MAX:\t\t%i\n" "c\t\t\tOORANDMAX:\t\t%.20f\n" "c\t\t\tSP:\t\t\t%.4f\n" "c\t\t\tINTBITS:\t\t%i\n" #ifdef TIMING "c\t\t\tTIMECHECKINTERVAL:\t%i\n" #endif #ifdef HYBRID #ifdef HIHEURISTIC "c\t\t\tHIDEPTH:\t\t%i\n" #endif "c\t\t\tMAXINITDECLEVELS:\t%i\n" "c\t\t\tMAXINITELEMENTS:\t%i\n", #else , #endif MAXCLAUSESIZE,RAND_MAX,OORANDMAX,SP,INTBITS #ifdef TIMING ,TIMECHECKINTERVAL #endif #ifdef HYBRID #ifdef HIHEURISTIC ,HIDEPTH #endif ,MAXINITDECLEVELS,MAXINITELEMENTS #endif ); printf("c\tFLAGS:\t\tGENERAL:\t"); #ifdef LONGHEADER printf("LONGHEADER "); #endif #ifdef PRINTSOLUTION printf("PRINTSOLUTION "); #endif #ifdef DISPOSE printf("DISPOSE "); #endif #ifdef TIMING printf("TIMING "); #endif #ifdef PREPROCESSING printf("\nc\t\t\tPREPROCESSOR:\t"); printf("PREPROCESSING ( "); #ifdef VERBOSE_PREPROC printf("VERBOSE_PREPROC "); #endif #ifdef COLLINF_PREP printf("COLLINF_PREP "); #endif #ifdef UNITPROP printf("UNITPROP "); #endif #ifdef PURELIT printf("PURELIT "); #endif printf(") "); #endif printf("\nc\t\t\tSLS:\t\t"); #ifdef WEIGHTING printf("WEIGHTING "); #endif #ifdef TABULIST printf("TABULIST "); #endif #ifdef VERBOSE_SLS printf("VERBOSE_SLS "); #endif #ifdef COLLINF_SLS printf("COLLINF_SLS "); #endif #ifdef VERIFICATION_SLS printf("VERIFICATION_SLS "); #endif #ifdef HYBRID printf("\nc\t\t\tCDCL:\t\t"); printf("HYBRID ( "); #ifdef VERIFICATION_CDCL printf("VERIFICATION_CDCL "); #endif #ifdef COLLINF_CDCL printf("COLLINF_CDCL "); #endif #ifdef TRANSFERASSIGNMENTCHANGES printf("TRANSFERASSIGNMENTCHANGES "); #endif #ifdef MINIMACALLING printf("MINIMACALLING ( "); #ifdef DISTRIBUTIONCAUCHY printf("DISTRIBUTIONCAUCHY"); #endif printf(" ) "); #endif #ifdef LEARNUIP printf("LEARNUIP ( "); #ifdef FIRSTUIP printf("FIRSTUIP "); #else printf("LASTUIP "); #endif printf(") "); #endif #ifdef UNITWALK printf("UNITWALK "); #endif #ifdef RANDOMHEURISTIC printf("RANDOMHEURISTIC "); #endif #ifdef HIHEURISTIC printf("HIHEURISTIC "); #endif #ifdef AGEHEURISTIC printf("AGEHEURISTIC ( "); #ifdef AGEYOUNG printf("AGEYOUNG "); #endif printf(") "); #endif #ifdef VSIDSHEURISTIC printf("VSIDSHEURISTIC ( "); #ifdef VSIDS_INCREASEINCONFLICT printf("VSIDS_INCREASEINCONFLICT "); #endif #ifdef VSIDS_INCREASEINFLIPS printf("VSIDS_INCREASEINFLIPS "); #endif #ifdef VSIDSMAX printf("VSIDSMAX "); #else printf("VSIDS_USEMIN "); #endif printf(") "); #endif printf(") "); #endif printf("\n"); #else printf("c\tINFO:\t\tRe-compile without the flag COMPETITION and the following flags in global.h enabled to see further\n" "c\t\t\toutput: LONGHEADER,VERBOSE_SLS,VERBOSE_CDCL,VERBOSE_PREPROC,COLLINF_SLS,COLLINF_CDCL,COLLINF_PREP.\n"); #endif printf("c\n"); } //To print out the solution if the formula is satisfiable. void printSolution(){ printf("s SATISFIABLE\n"); #ifdef PRINTSOLUTION register int i; printf("v "); for (i = 1; i < numVars+1; i++){ printf("%i ", assignment[i] == 0 ? -i : i); } printf("0\n"); #else printf("c Satisfying assignment is omitted. Use the flag PRINTSOLUTION if you want to see it.\n"); #endif } //To print the final statistics and information gathered during the search. void printStats(){ printf("c\n"); printf("c STATS:\n"); #ifdef PREPROCESSING #ifdef COLLINF_PREP printf("c\tPREPROCESSING RELATED STATS:\n"); #ifdef UNITPROP printf("c\t\tNumber of unit propagations: %i\n",preproc_unitProps); #endif #ifdef PURELIT printf("c\t\tNumber of removed pure literals (clauses therefore ignored): %i (%i)\n" ,preproc_pureLits, preproc_pureLitsIgnoredCls); #endif #endif #endif #ifdef COLLINF_SLS printf("c\tSLS RELATED STATS:\n"); printf("c\t\tFlips by variable / back to back flips by variable (while random)/ longest marking distance:\n"); int i; for (i = 1; i < numVars+1; i++){ printf("c\t\t\t%i:\t%i\t/\t%i (%i)\t %i (%i)\n", i,variables[i].numFlipped,variables[i].numBackToBackFlips, variables[i].numBackToBackRand, variables[i].longestMarkingDistance, variables[i].longestMarkingDistEnd); } printf("c\t\tMax variable score ever occurred: %i\n",maxVariableScore); printf("c\t\tMin variable score ever occurred: %i\n",minVariableScore); printf("c\t\tHow often a variable was added to decVars during clause weight increase: %i\n",addIncrease); printf("c\t\tHow often a variable was added to decVars during clause weight decrease: %i\n",addDecrease); printf("c\t\tRandom flips: %i\n",numRandomFlip); printf("c\t\tQuotient random flips / flips: %f\n", ((double)numRandomFlip) / ((double)flips)); printf("c\t\tFlipped back to back: %i\n", doubleFlips); printf("c\t\tQuotient back to back / flips: %f\n", ((double) doubleFlips) / ((double) flips)); printf("c\t\tThe number of times some clause changed its numTrue: %i\n", clauseStateChangesTotal); printf("c\t\tA literal became true in a clause with no true literal: %i\n", litTrueOne); printf("c\t\tA literal became true in a clause with one true literal: %i\n", litTrueTwo); printf("c\t\tA literal became true in a clause with more than one true literal: %i\n", litTrueMore); printf("c\t\tA literal became false in a clause with one true literal: %i\n", litFalseZero); printf("c\t\tA literal became false in a clause with two true literals: %i\n", litFalseOne); printf("c\t\tA literal became false in a clause with more than two true literals: %i\n", litFalseMore); printf("c\t\tSearches for a new true variable: %i\n", trueVarMiss); printf("c\t\tMax clause weight ever occurred: %i\n",maxClauseWeight); printf("c\t\tNumber of clause weight decreases: %i\n", numWeightDecrease); printf("c\t\tNumber of clause weight increases: %i\n", numWeightIncrease); printf("c\t\tNumber of clause weight checks: %i\n", numCheckClauseWeight); printf("c\t\tMaximum number of clause appearances of a single literal: %i\n", maxNumClauseAppearance); printf("c\t\tNumber of assignments leaving only one clause unsatisfied: %i\n", numOfLocalMinima); #endif #ifdef COLLINF_CDCL printf("c\tCDCL RELATED STATS\n"); if (cdcl_callNumber > 0){ printf("c\t\tMean call distance in flips: %u\n", cdcl_callDistances / cdcl_callNumber); } else { printf("c\t\tMean call distance in flips: nan\n"); } #ifdef TRANSFERASSIGNMENTCHANGES if (cdcl_callNumber > 0){ printf("c\t\tNumber of assignments changes in the SLS assignment: %i (%i on average)\n", cdcl_numTransferredAssignmnetChanges, (int) (cdcl_numTransferredAssignmnetChanges/cdcl_callNumber)); } else { printf("c\t\tNumber of assignments changes in the SLS assignment: 0 (0 on average)\n"); } #endif printf("c\t\tNumber of back-jumps in last call: %i\n",cdcl_numBackjumpsLastCall-1); printf("c\t\tNumber of unit propagations based on learned in last call: %i\n",cdcl_numPropsBasedOnLearnedLastCall); printf("c\t\tNumber of unit propagations based on learned total: %i\n",cdcl_numPropsBasedOnLearned); printf("c\t\tNumber of enlargements of the unit propagation buffer: %i\n",cdcl_numUnitPropBufferIncreases); printf("c\t\tMaximum of the necessary number of unsatisfied clauses: %i\n", cdcl_maxNecNumUnsatCls); printf("c\t\tIncreases of the necessary number of unsatisfied clauses: %i\n", cdcl_necNumUnsatClsIncreases); printf("c\t\tDecreases of the necessary number of unsatisfied clauses: %i\n", cdcl_necNumUnsatClsDecreases); printf("c\t\tMaximum decision level: %i\n", maxDecLevel); printf("c\t\tTotal number of decisions: %i\n", cdcl_numberOfDecisions); printf("c\t\tTotal number of back-jumps: %i\n", cdcl_numberOfBackjumps); printf("c\t\tTotal number of learned clauses of length:\n"); int length,totalLearned=0; for (length = 0; length < numVars; length++){ if (cdcl_learnedClausesOfLength[length] > 0){ printf("c\t\t\t%6.1i:%20.1i\n",length,cdcl_learnedClausesOfLength[length]); totalLearned += cdcl_learnedClausesOfLength[length]; } } printf("c\t\t\t TOTAL:%20.1i\n",totalLearned); #endif printf("c\tGLOBAL STATS:\n"); #ifdef HYBRID if (returnValue != UNKNOWN){ if (solutionFoundBy == SOL_SLS) printf("c\t\tSolution found by:\tSLS "); else printf("c\t\tSolution found by:\tCDCL "); if (returnValue == SAT) printf("(SATISFIABLE)\n"); else printf("(UNSATISFIABLE)\n"); } #endif printf("c\t\tSeed:\t\t\t%i\n", seed); printf("c\t\tSLS flips:\t\t%u\n",flips); #ifdef HYBRID printf("c\t\tCDCL calls:\t\t%i\n", cdcl_callNumber); #endif float totaltime = ((float)clock())/((float)CLOCKS_PER_SEC); printf("c\t\tTotal time:\t\t%f seconds\n", totaltime); #ifdef HYBRID #ifdef TIMING float slstime = totaltime - cdcl_runtime; printf("c\t\tSLS time:\t\t%f scenods (%.3f%%)\n", slstime, (slstime/totaltime)*100.0f); printf("c\t\tCDCL time:\t\t%f seconds (%.3f%%)\n",cdcl_runtime, (cdcl_runtime/totaltime)*100.0f); #endif #endif } //This method checks if the formula is random. char isFormulaRandom(){ //This method will check whether the investigated formula is a random formula. return minClauseSize == maxClauseSize ? 1 : 0; //Very simple check. } //This method allocates the primary (partially temporary) memory for the solver. void allocateAndInitializePrimary(){ register int i; //The primary memory is the memory that we have to allocate before we can load anything from the //formula file. Here we initialize the tempClauseLiterals array with clauses of super large size, simply //because we do not know how big a clause can be. //We also do allocate memory for all the data structures we already know the size of. For example, the //unsatClauses array, that will later hold the clause numbers of the unsatisfied clauses, must have size //numClauses (in the worst case, all clauses could be unsatisfied). //Refer to the global.h file for a description of each variable initialized here. #ifdef LONGHEADER printf("c Allocating primary memory... ");fflush(stdout); #endif //GENERAL returnValue = UNKNOWN; flips = 0; numUnsatClauses = 0; numLargeWeightClauses = 0; chosenVar = 0; numDecVars = 0; solutionFoundBy = SOL_SLS; numOriginalClauses = numClauses; minClauseSize = MAXCLAUSESIZE; maxClauseSize = 0; //VARIABLE SPECIFIC ARRAYS decVars = malloc(sizeof(int)*(numVars+1)); //Does not need to be initialized. isDecVars = malloc(sizeof(unsigned char)*(numVars+1)); //Is initialized later. assignment = malloc(sizeof(unsigned char)*(numVars+1)); for (i = 0; i < numVars+1; i++){assignment[i] = rand()%2;} lastFlipped = malloc(sizeof(unsigned int)*(numVars+1)); for (i = 0; i < numVars+1; i++){lastFlipped[i] = 0;} score = malloc(sizeof(char)*(numVars+1)); for (i = 0; i < numVars+1; i++){score[i] = 0;} //CLAUSE SPECIFIC ARRAYS clauseSize = malloc(sizeof(unsigned char)*numClauses); for (i = 0; i < numClauses; i++){clauseSize[i] = 0;} numTrue = malloc(sizeof(unsigned char)*numClauses); for (i = 0; i < numClauses; i++){numTrue[i] = 0;} trueVar = malloc(sizeof(short int)*numClauses); for (i = 0; i < numClauses; i++){trueVar[i] = 0;} weight = malloc(sizeof(unsigned char)*numClauses); //Is initialized later during adaption. This is necessary because we do not know the base clause-weight yet. whereUnsat = malloc(sizeof(int)*numClauses); //Does not need to be initialized. This gets updated whenever a clause is added to unsatClauses. unsatClauses = malloc(sizeof(int)*numClauses); //Does not need to be initialized. Gets updated when clauseLiterals are loaded in secondary memory method. largeWeightClauses = malloc(sizeof(int)*numClauses); //Does not need to be initialized. There are no clauses with weight > 1 in the beginning anyway. //TEMPORARY ARRAYS tempClauseAppearance = malloc(sizeof(int*)*(2*numVars+1)); for (i = 0; i < 2*numVars+1; i++){ //We allocate very small arrays and increase every time we need more memory. tempClauseAppearance[i] = malloc(sizeof(int)*18); tempClauseAppearance[i][0] = 0; //We do not yet have a temporary appearance of the literal. tempClauseAppearance[i][1] = 16; //We have 16 integers ready to store appearances. tempClauseAppearance[i][2] = -1; //Clause appearance arrays are always terminated with a -1. } tempClauseAppearance += numVars;//We shift the array pointer to the center for easier literal access later. //The second dimension of tempClauseLiterals is initialized in the method loadFormula(). tempClauseLiterals = malloc(sizeof(int*)*numClauses); #ifdef COLLINF_SLS //When collecting additional information, the solver will initialize and use a ton of more variables. //They slow it down of course, thats why we will not have this in the competition version of the solver. variables = malloc(sizeof(struct variable)*(numVars+1)); for (i = 0; i < numVars+1; i++){ variables[i].numFlipped = 0; variables[i].numBackToBackFlips = 0; variables[i].numBackToBackRand = 0; variables[i].longestMarkingDistance = 0; variables[i].lastMarkedAt = 0; variables[i].longestMarkingDistEnd = 0; } litTrueOne = 0; litTrueTwo = 0; litTrueMore = 0; litFalseZero = 0; litFalseOne = 0; litFalseMore = 0; trueVarMiss = 0; clauseStateChangesTotal = 0; maxClauseWeight = 1; maxVariableScore = 0; minVariableScore = 0; addDecrease = 0; addIncrease = 0; numCheckClauseWeight = 0; numRandomFlip = 0; doubleFlips = 0; numWeightDecrease = 0; numWeightIncrease = 0; numOfLocalMinima = 0; maxNumClauseAppearance = 0; #endif #ifdef LONGHEADER printf("done.\n");fflush(stdout); #endif } //This method will, after preprocessing and all the basic operations, allocate the final data structures. It will //transfer over all the information from the temporary arrays. It will also free the tomporarily allocated memory. void allocateAndInitializeSecondary(){ register int i,j,lit,var,*arrPtr,*cls,count; #ifdef LONGHEADER printf("c Allocating secondary memory... ");fflush(stdout); #endif //First of all we reset the clauseAppearances and numClauseAppearances arrays for all the literals. for (i = -numVars; i < numVars+1; i++){ tempClauseAppearance[i][0] = 0; tempClauseAppearance[i][2] = -1; } //Then we count the number of integers we need to allocate for clauses. count = 0; for (i = 0; i < numOriginalClauses; ++i){ count += (clauseSize[i] + 1); } clauses = malloc(sizeof(int)*count); //Introduce array clauses. Count the number of literals per clause and add +1 for each clause. Allocate clauses //with that size. //For all the clauses there will be a pointer pointing into the clauses array. clauseLiterals = malloc(sizeof(int*)*(numClauses)); count = 0; for (i = 0; i < numOriginalClauses; i++){ numTrue[i] = 0; clauseLiterals[i] = clauses+count; for (j = 0; j < clauseSize[i]; j++){ lit = tempClauseLiterals[i][j]; clauseLiterals[i][j] = lit;//Copying. if ((assignment[abs(lit)] > 0) == (lit > 0)){ numTrue[i]++; trueVar[i] = abs(lit); } } free(tempClauseLiterals[i]); clauseLiterals[i][clauseSize[i]] = 0;//Add the terminating 0 here. count += (clauseSize[i]+1); if (clauseSize[i] < minClauseSize) minClauseSize = clauseSize[i]; if (clauseSize[i] > maxClauseSize) maxClauseSize = clauseSize[i]; #ifdef PREPROCESSING if (isIgnoredClause[i]) continue; //We ignore this clause if it was marked to be ignored. #endif //At this point, we either had no preprocessing or we had preprocessing but the clause is not ignored. //We update the literal appearances. This will later make the SLS component respect this clause when //flipping variables and picking new variables to flip. This clause will also introduce connections //between variables and therefore creates partner relationships. for (j = 0; j < clauseSize[i]; j++){ lit = clauseLiterals[i][j]; tempClauseAppearance[lit][2+tempClauseAppearance[lit][0]] = i; ++tempClauseAppearance[lit][0]; tempClauseAppearance[lit][2+tempClauseAppearance[lit][0]] = -1; #ifdef COLLINF_SLS if (tempClauseAppearance[lit][0] > maxNumClauseAppearance) maxNumClauseAppearance = tempClauseAppearance[lit][0]; #endif } //We insert the clause into the unsat clauses, if necessary. if (numTrue[i] == 0){ unsatClauses[numUnsatClauses] = i; whereUnsat[i] = numUnsatClauses; numUnsatClauses++; } } free(tempClauseLiterals); //Now that we know the maximum clause size we can allocate: prob = malloc(sizeof(float)*(maxClauseSize)); //We now initialize the clauseAppearance arrays such that we know what literal appears in what clause. clauseAppearance = malloc(sizeof(int*)*(2*numVars+1)); clauseAppearance += numVars; for (i = -numVars; i < numVars+1; i++){ clauseAppearance[i] = malloc(sizeof(int)*(tempClauseAppearance[i][0]+1)); for (j = 0; j < tempClauseAppearance[i][0]; j++){ clauseAppearance[i][j] = tempClauseAppearance[i][2+j]; } clauseAppearance[i][tempClauseAppearance[i][0]] = -1; free(tempClauseAppearance[i]); } tempClauseAppearance -= numVars; free(tempClauseAppearance); //Then we fill up the partners array such that we know what variable has what partner. int* tempStamps = malloc(sizeof(int)*(numVars+1)); for (i = 1; i < numVars+1; ++i){tempStamps[i] = 0;} partners = malloc(sizeof(int*)*(numVars+1)); for (i = 1; i < numVars+1; i++){ //The tempPartners arrays are also allocated way too big. No variable will have all other variables as //a partner, but it is the worst case. partners[i] = malloc(sizeof(int)*(3)); partners[i][0] = 0; partners[i][1] = 1; partners[i][2] = 0; } for (var = 1; var < numVars+1; ++var){ for (cls = clauseAppearance[var]; *cls != -1; ++cls){ #ifdef PREPROCESSING if (isIgnoredClause[*cls]) continue; #endif for (arrPtr = clauseLiterals[*cls]; *arrPtr != 0; ++arrPtr){ if (tempStamps[abs(*arrPtr)] != var){ if (partners[var][0] == partners[var][1]-1){ ++partners[var][1]; partners[var] = realloc(partners[var],sizeof(int)*(partners[var][1]+2)); //printf("%i:%i-%i:%p\n", var,partners[var][0], partners[var][1],partners[var]);fflush(stdout); } partners[var][partners[var][0]+2] = abs(*arrPtr); ++partners[var][0]; partners[var][partners[var][0]+2] = 0; tempStamps[abs(*arrPtr)] = var; } } } for (cls = clauseAppearance[-var]; *cls != -1; ++cls){ #ifdef PREPROCESSING if (isIgnoredClause[*cls]) continue; #endif for (arrPtr = clauseLiterals[*cls]; *arrPtr != 0; ++arrPtr){ if (tempStamps[abs(*arrPtr)] != var){ if (partners[var][0] == partners[var][1]-1){ ++partners[var][1]; partners[var] = realloc(partners[var],sizeof(int)*(partners[var][1]+2)); } partners[var][partners[var][0]+2] = abs(*arrPtr); ++partners[var][0]; partners[var][partners[var][0]+2] = 0; tempStamps[abs(*arrPtr)] = var; } } } } free(tempStamps); #ifdef LONGHEADER printf("done.\n");fflush(stdout); #endif } #ifdef DISPOSE //If disposing of memory is enabled, we have sls_dispose, that frees all the memory allocated in global.h using //the allocate primary and secondary methods. void sls_dispose(){ register int i; #ifdef LONGHEADER printf("c\tDisposing SLS memory... ");fflush(stdout); #endif #ifdef COLLINF_SLS free(variables); #endif free(unsatClauses); free(largeWeightClauses); free(decVars); //VARIABLE SPECIFIC ARRAYS free(isDecVars); free(assignment); free(lastFlipped); clauseAppearance -= numVars; //We shift the array pointer back to the beginning. for (i = 0; i < 2*numVars+1; i++){ free(clauseAppearance[i]); } free(clauseAppearance); for (i = 1; i < numVars+1; i++){ free(partners[i]); } free(partners); free(score); free(prob); //CLAUSE SPECIFIC ARRAYS free(clauseSize); free(numTrue); free(trueVar); free(weight); free(whereUnsat); #ifdef HYBRID #ifndef UNITWALK for (i = numOriginalClauses; i < numCDCLClauses+1; i++){ free(clauseLiterals[i]); } #endif #ifdef DISTRIBUTIONCAUCHY if (maxClauseSize == 3 && numVars >= 20000){ free(CAUCHY_TABLE); free(CAUCHY_COOLDOWNS); } #endif #endif free(clauseLiterals); free(clauses); #ifdef LONGHEADER printf("done.\n");fflush(stdout); #endif } #endif //This method adapts all the sparrow parameters and all the variable selection heuristics to the formula at hand. void adaptToInstance(){ #ifdef LONGHEADER printf("c Adapting to instance...\n"); #endif //We adapt the sparrow scheme and enable or disable weighting depending on the type of instance. //Weighting is only enabled for random 2 and 3-SAT. The sparrow tables get used depending on the size of //the clauses. //Furthermore, if HYBRID is enabled, we decide what variable selection strategy is used in the CDCL: // - For random (HIHEURISTIC enabled), we use cdcl_decisionStack_pickLiteralToSatisfy_HIheuristic(). // - For crafted/application (VSIDS enabled), we use cdcl_decisionStack_pickLiteralToSatisfy_VSIDS(). // - Otherwise, we use the cdcl_decisionStack_pickLiteralToSatisfy_simple(). //Lets check if the formula is random. looksrandom = isFormulaRandom(); #ifdef WEIGHTING checkClauseWeights = &checkClauseWeightsNull;//Initially, we assume no weighting. #endif //Standard aging values. The smaller age measure, the more the age will weight during sparrow calculations. ageMeasure = 100000000000000000000.0f; ageIgnore = 0.1*(float)numVars; //Handle weighting and set the lookup table scores for the sparrow scheme. Also adapt the ageMeasure and //ageIgnore. They will later be used to override the PS_TABLE contents such that we do not have to do //all the multiplications in the pickVar() method. if (looksrandom){ #ifdef LONGHEADER printf("c\tThe instance looks like random %i-SAT. ", maxClauseSize); #endif //Depending on the size of the clauses, we will used different PS_TABLE entries. if (maxClauseSize == 2){ #ifdef WEIGHTING #ifdef LONGHEADER printf("Clause weighting enabled.\n"); #endif checkClauseWeights = &checkClauseWeightsLinear;//Enable weighting for random 2-SAT. weightStepping = (unsigned char)1; SP = 0.347f; #else #ifdef LONGHEADER printf("Clause weighting disabled.\n"); #endif #endif PS_TABLE = (float*)PS_3SAT; ageMeasure *= 0.005; } else if (maxClauseSize == 3){ #ifdef WEIGHTING #ifdef LONGHEADER printf("Clause weighting enabled.\n"); #endif checkClauseWeights = &checkClauseWeightsLinear;//Enable weighting for random 3-SAT. weightStepping = ((unsigned char)1); SP = 0.347f; #else #ifdef LONGHEADER printf("Clause weighting disabled.\n"); #endif #endif PS_TABLE = (float*)PS_3SAT; ageMeasure *= 0.005; } else if (maxClauseSize == 4){ #ifdef WEIGHTING #ifdef LONGHEADER printf("Clause weighting enabled.\n"); #endif checkClauseWeights = &checkClauseWeightsLinear;//Enable weighting for random 4-SAT. weightStepping = (unsigned char)2; SP = 0.79f; #else #ifdef LONGHEADER printf("Clause weighting disabled.\n"); #endif #endif PS_TABLE = (float*)PS_4SAT; ageMeasure *= 0.0035; } else if (maxClauseSize == 5){ #ifdef WEIGHTING #ifdef LONGHEADER printf("Clause weighting enabled.\n"); #endif checkClauseWeights = &checkClauseWeightsLinear;//Enable weighting for random 5-SAT. weightStepping = (unsigned char)2; SP = 0.79f; #else #ifdef LONGHEADER printf("Clause weighting disabled.\n"); #endif #endif PS_TABLE = (float*)PS_5SAT; ageMeasure *= 0.0023; } else if (maxClauseSize == 6){ #ifdef WEIGHTING #ifdef LONGHEADER printf("Clause weighting enabled.\n"); #endif checkClauseWeights = &checkClauseWeightsLinear;//Enable weighting for random 3-SAT. weightStepping = (unsigned char)3; SP = 0.919f; #else #ifdef LONGHEADER printf("Clause weighting disabled.\n"); #endif #endif PS_TABLE = (float*)PS_6SAT; ageMeasure *= 0.0021; } else { //We use the lookup table of 7-SAT for any k-SAT formula with k > 6. #ifdef WEIGHTING #ifdef LONGHEADER printf("Clause weighting enabled.\n"); #endif checkClauseWeights = &checkClauseWeightsLinear;//Enable weighting for random 3-SAT. weightStepping = (unsigned char)4; SP = 0.919f; #else #ifdef LONGHEADER printf("Clause weighting disabled.\n"); #endif #endif PS_TABLE = (float*)PS_7SAT; ageMeasure *= 0.002; } } else { //For an application formula, we will use the 7-SAT table and no clause weighting. //checkClauseWeights() will stay on checkClauseWeightsNull(). #ifdef LONGHEADER printf("c\tThe instance does not look random. Clause weighting disabled.\n"); #endif PS_TABLE = (float*)PS_7SAT; ageMeasure *= 0.002; } //Here, we multiply the PS_TABLE value with the value we calculated for the weight of the age. //This will later relieve us of multiplying this every time we pick a variable randomly. See pickVar(). int i; for (i = 0; i < numClauses; i++){weight[i] = (unsigned char)weightStepping;}//Init clause weights. for (i = 0; i < 10; i++){PS_TABLE[i] *= ageMeasure;} #ifdef LONGHEADER printf("c\tSparrow scheme parameters:\n"); printf("c\t\tSparrow p_a measure: %f\n", ageMeasure); printf("c\t\tSparrow p_a ignore: %f\n", ageIgnore); printf("c\t\tSparrow p_s base values:\n"); for (i = 0; i < 11; i++){ if (i == 0){ printf("c\t\t>= 0:%25.1f\n",ageMeasure); } else if (i < 10){ printf("c\t\t%6.i:%25.1f\n",-i,PS_TABLE[i]); } else { printf("c\t\t<= -10:%25.1f\n",PS_TABLE[0]); } } #endif //Finally, we adapt the heuristics and call schemes used in the SLS/CDCL if the solver runs in hybrid mode. #ifdef HYBRID //First we adapt the variable selection scheme and additionally, we disable CDCL calling and enable it only for 3-SAT. callCDCL = &callCDCL_null; if (looksrandom){ #ifdef HIHEURISTIC heuristic = HEURHI; #else #ifdef VSIDSHEURISTIC heuristic = HEURVSIDS; #else #ifdef AGEHEURISTIC heuristic = HEURAGE; #else #ifdef RANDOMHEURISTIC heuristic = HEURRAND; #else heuristic = HEURSIMPLE; #endif #endif #endif #endif } else { #ifdef VSIDSHEURISTIC heuristic = HEURVSIDS; #else #ifdef AGEHEURISTIC heuristic = HEURAGE; #else heuristic = HEURSIMPLE; #endif #endif } //Second we adapt the learning scheme. #ifndef UNITWALK #ifdef LEARNUIP cdcl_conflictAnalysis_learn = &cdcl_conflictAnalysis_learnUIP; #else cdcl_conflictAnalysis_learn = &cdcl_conflictAnalysis_learnSimple; #endif #endif //Third we adapt the calling scheme of the CDCL. if (maxClauseSize == 3 && numVars >= 20000){ #ifdef MINIMACALLING #ifdef LONGHEADER printf("c\tLOCALMIN CDCL calling scheme is in use... "); #endif callCDCL = &callCDCL_localMin; //We adapt the cool-down calculations for the local minimum calling scheme here. #ifdef DISTRIBUTIONCAUCHY CAUCHY_TABSIZE = 2000; CAUCHY_OFFSET_FRACTION = (double) 0.7407407; CAUCHY_GAMMA = (double) 15.0; CAUCHY_FLIPINCREASE = (int)((2.7f*(float)numVars)/(float)100); CAUCHY_OFFSET = (int)(CAUCHY_OFFSET_FRACTION*CAUCHY_TABSIZE); CAUCHY_COOLDOWNS = malloc(sizeof(unsigned int)*(CAUCHY_TABSIZE+1)); CAUCHY_TABLE = malloc(sizeof(double)*(CAUCHY_TABSIZE+1)); #ifdef LONGHEADER printf("using Cauchy distributed cool-down periods. z ~ C(%i,%f,%f,%i,%i)\n", CAUCHY_TABSIZE, CAUCHY_OFFSET_FRACTION, CAUCHY_GAMMA, CAUCHY_FLIPINCREASE, CAUCHY_OFFSET); #endif cooldownLength = 2*numVars; distribution_createCauchyTable(); distribution = &distribution_cauchy; #endif #endif } else { #ifdef LONGHEADER printf("c\tCDCL is not being called. Formula is too small.\n"); #endif } #endif #ifdef TABULIST //Last but not least we adapt the TABU list length. //TABU = tabulistlength; if (maxClauseSize <= 3){ TABU = (unsigned int) 3; } else if (maxClauseSize == 4){ TABU = (unsigned int) 9; } else if (maxClauseSize == 5){ TABU = (unsigned int) 7; } else if (maxClauseSize == 6){ TABU = (unsigned int) 6; } else { TABU = (unsigned int) 4; } #ifdef LONGHEADER printf("c\tTABU list length is: %i.\n",TABU); #endif #endif #ifdef WEIGHTING #ifdef LONGHEADER printf("c\tweightStepping is: %i.\nc\tSP is: %f.\n",weightStepping,SP); #endif #endif #ifdef LONGHEADER printf("c done.\nc\n");fflush(stdout); #endif } //This method performs all the loading operations. void loadFormula(){ int i,chr, chr2, lit, numReadLits; char txt[100]; chr = '#'; while (chr != 'p') { while ((chr = fgetc(input)) == 'c') { while ((chr2 = fgetc(input)) != EOF && chr2 != '\n'); } } ungetc(chr, input); if (fscanf(input, "p %s %i %i", txt, &numVars, &numClauses) != 3) { fprintf(stderr,"Error while reading the p-line.\n"); printf("c e Error while reading the p-line.\n"); exit(-1); } if (strcmp("cnf", txt) != 0 ) { fprintf(stderr, "Error while checking if problem file is >cnf<.\n"); printf("c e Error while checking if problem file is >cnf<.\n"); exit(-1); } //Here we allocate the primary memory along with some temporary memory. allocateAndInitializePrimary(); #ifdef PREPROCESSING //If preprocessing is enabled, we initialize the preprocessor here. preprocess_allocateAndIntialize(); #endif for (i = 0; i < numClauses; i++) { tempClauseLiterals[i] = malloc(sizeof(int)*MAXCLAUSESIZE);//Allocate temporary way too large. tempClauseLiterals[i][0] = 0; //Terminate. numReadLits = 0; lit = 0; do { if (numReadLits > MAXCLAUSESIZE) { fprintf(stderr, "e The input clause %i is too long; longer than %i.\n",i, MAXCLAUSESIZE); printf("c e The input clause %i is too long; longer than %i.\n",i, MAXCLAUSESIZE); exit(-1); } if (fscanf(input, "%i ", &lit) != 1) { fprintf(stderr, "There was an error reading a literal in clause %i. Bad input file?\n",i); printf("c e There was an error reading a literal in clause %i. Bad input file?\n",i); exit(-1); } if (lit != 0) { tempClauseLiterals[i][clauseSize[i]] = lit; tempClauseLiterals[i][++clauseSize[i]] = 0; if (tempClauseAppearance[lit][0] >= tempClauseAppearance[lit][1]-1){ //We must increase the memory ready to store clause numbers in tempClauseAppearance[lit]. tempClauseAppearance[lit][1] *= 2; tempClauseAppearance[lit] = realloc(tempClauseAppearance[lit], sizeof(int)*(tempClauseAppearance[lit][1]+2)); } tempClauseAppearance[lit][2+tempClauseAppearance[lit][0]] = i; ++tempClauseAppearance[lit][0]; tempClauseAppearance[lit][2+tempClauseAppearance[lit][0]] = -1; numReadLits++; #ifdef COLLINF_SLS if (tempClauseAppearance[lit][0] > maxNumClauseAppearance) maxNumClauseAppearance = tempClauseAppearance[lit][0]; #endif } } while (lit != 0); //Reallocate the temporary clause literals array such that it fits its size + 1 (+1 for termination). tempClauseLiterals[i] = realloc(tempClauseLiterals[i], sizeof(int)*(clauseSize[i]+1)); if (clauseSize[i] < minClauseSize) minClauseSize = clauseSize[i]; if (clauseSize[i] > maxClauseSize) maxClauseSize = clauseSize[i]; #ifdef PREPROCESSING #ifdef UNITPROP if (clauseSize[i] == 1 && !preproc_isInUnitPropBuffer[abs(tempClauseLiterals[i][0])]){ //We have found a unit clause. We add it to the unitPropBuffer. preproc_unitPropBuffer[preproc_unitPropBufferLast++] = tempClauseLiterals[i][0]; preproc_isInUnitPropBuffer[abs(tempClauseLiterals[i][0])] = 1; } #endif #endif } //After having loaded all the formula information in the temporary memory, we will use it to adapt to the instance. adaptToInstance(); #ifdef PREPROCESSING //If preprocessing is enabled, we will perform preprocessing on the temporary arrays now. preprocess(); #endif allocateAndInitializeSecondary(); #ifdef HYBRID cdcl_allocateAndInitialize(); #endif fclose(input); } //The main call for the solver. int main(int argc, char* argv[]){ printHeader(); #ifdef LONGHEADER printf("c The starting time in seconds is: %f\n",((float)(clock())/((float)CLOCKS_PER_SEC))); #endif printf("c INITIALIZING...\n"); readParameters(argc, argv); loadFormula(); #ifdef LONGHEADER printFormulaStats(); #endif calculateInitialScoresAndDecVars(); #ifdef LONGHEADER printf("c Time to initialize data structures and perform preprocessing: %f\nc\n", ((float)clock())/((float)CLOCKS_PER_SEC));fflush(stdout); #endif #ifdef VERBOSE_SLS printVariables(); printClauses(); printUnsatClauses(); printLargeWeightClauses(); printVariableScores(); printDecVars(); printCurrentAssignment();fflush(stdout); #endif if (returnValue == UNKNOWN){ #ifndef SILENT printf("c SEARCHING...\nc\n"); fflush(stdout); #endif sls(); } if (returnValue == UNKNOWN){ printf("s UNKNOWN\n"); fflush(stdout); } else if (returnValue == UNSAT){ printf("s UNSATISFIABLE\n"); fflush(stdout); } else { #ifdef VERIFICATION_SLS verification_sls_verifySolution(); #endif printSolution(); fflush(stdout); } #ifdef LONGHEADER printStats(); #endif #ifdef DISPOSE #ifdef LONGHEADER printf("c\nc Disposing memory...\n"); #endif sls_dispose(); #ifdef HYBRID cdcl_dispose(); #endif #ifdef PREPROCESSING preprocess_dispose(); #endif #ifdef LONGHEADER printf("c All memory disposed.\n"); printf("c Verily, this vichyssoise of verbiage veers most verbose.\n"); #endif #endif return returnValue; } global.h0000644011311700006200000002535411530465417012525 0ustar s_ogablestudent/* * global.h * * Created on: 10.09.2010 * Author: Oliver Gableske * Content: This file contains all the global definitions for the SLS component, that can also be used by the CDCL. */ #ifndef GLOBAL_H_ #define GLOBAL_H_ //BASIC INCLUDES #include #include #include #include "time.h" //COMPILE AND FEATURE CONTROL ////GENERAL FLAGS #define COMPETITION //Set this for competition mode. Not much output. No memory disposing. No timing. Printing solution. #define LONGHEADER //Set this if you want lots of information printed in the header (slow, not necessary). //#define PRINTSOLUTION //If you want the solver to print out all assignments of a found solution. #define DISPOSE //Set this if you want the solver to cleanup its memory after finishing computations //(not too slow but also not necessary in the competition). #define HYBRID //Set this if you want the solver to work in hybrid mode. #define PREPROCESSING //Set this to use the preprocessor. //#define TIMING //Set this to have the SLS check if maximum time is reached if given. ////PREPROCESSOR SPECIFIC FLAGS #ifdef PREPROCESSING //#define VERBOSE_PREPROC //Enable this if you want the preprocessor to be verbose (slow). //#define COLLINF_PREP //Set this if you want additional info collected by preprocessor (slow). #define PURELIT //Enable the check for pure literals. #define UNITPROP //Enable the unit clause propagation. #endif ////SLS SPECIFIC FLAGS //#define VERBOSE_SLS //Set this if you want the extra talking of the SLS (slow). //#define COLLINF_SLS //Set this to have the solver collect additional information (slow). #define VERIFICATION_SLS //Enable the verification of a found solution (not too slow but also not necessary). #define WEIGHTING //Set this to use clause weighting (suggested). #define TABULIST //Set this if you want to use a TABU-list in greedy search (suggested). ////CDCL SPECIFIC FLAGS #ifdef HYBRID //#define VERBOSE_CDCL //Set this if you want the extra talking of the CDCL (slow). //#define VERIFICATION_CDCL //Have CDCL do consistency checks (extremely slow, really not recommended). //#define COLLINF_CDCL //Set this if you want additional info collected in the CDCL (slow). #define UNITWALK //Set this if you want the CDCL to perform only unit walk (makes solver incomplete). //#define USELUBYSERIES //Set this if you want the CDCL to use the Luby series to determine its runtime. #define TRANSFERASSIGNMENTCHANGES //Set this if you want the CDCL override the SLS assignment with changes. #define LEARNUIP //Set this if you want the learning to be done according to UIP. #ifdef LEARNUIP //#define FIRSTUIP //If you want to learn the first UIP conflict clause. Otherwise its last UIP. #endif //#define RANDOMHEURISTIC //Set this if you want the CDCL to have the random variable ordering enabled. #define HIHEURISTIC //Set this if you want the CDCL to have the HI-heuristic enabled. //#define VSIDSHEURISTIC //Set this if you want the CDCL to have the VSIDS-heuristic enabled. //#define AGEHEURISTIC //Set this if you want the CDCL to have the AGE-heuristic enabled. #ifdef AGEHEURISTIC #define AGEYOUNG //Priority to the youngest variables in CDCL. Otherwise its the oldest. #endif #ifdef VSIDSHEURISTIC #define VSIDSMAX //Sort variables by maximum score first. Otherwise minimum first. #define VSIDS_INCREASEINCONFLICT //If you want the VSIDS scores bumped in every conflicting clause. #ifdef VSIDS_INCREASEINCONFLICT double bump_factor_conflict; //The factor used to bump VSIDS scores of variables in a conflict. #endif #define VSIDS_INCREASEINFLIPS //Set this if you want the VSIDS scores bumped in every flip. #ifdef VSIDS_INCREASEINFLIPS double bump_factor_flips; //The factor used to bump VSIDS scores of variables being flipped. #endif #endif #define MINIMACALLING //Check for CDCL call in local minimum only. #ifdef MINIMACALLING #define DISTRIBUTIONCAUCHY //Enable the CAUCHY distribution for calculating cool-downs. #endif #endif //CONDITIONAL FLAGGING #ifndef MINIMACALLING #define MINIMACALLING #endif #ifdef MINIMACALLING #ifndef DISTRIBUTIONCAUCHY #define DISTRIBUTIONCAUCHY #endif #endif #ifdef UNITWALK #undef LEARNUIP #undef VSIDS_INCREASEINCONFLICT #endif #ifdef COMPETITION //We disable all the stuff that is not absolutely necessary for the solver to work in competition mode. #undef LONGHEADER #undef VERIFICATION_CDCL #undef VERBOSE_SLS #undef VERBOSE_CDCL #undef VERBOSE_PREPROC #undef COLLINF_SLS #undef COLLINF_CDCL #undef COLLINF_PREP #undef TIMING #undef DISPOSE #define PRINTSOLUTION #endif //ADDITIONAL INCLUDES DEPENDING ON THE FLAGS #include "sls.h" #ifdef VERIFICATION_SLS #include "verification_sls.h" #endif #ifdef HYBRID #include "cdcl.h" #ifdef VERIFICATION_CDCL #include "verification_cdcl.h" #endif #endif //GLOBAL CONSTANTS AND VARIABLES enum { #ifdef TIMING TIMECHECKINTERVAL = 600000, //How many flips may pass before we check the clock? #endif VERSION_MAJOR = 1, //The major version of the solver. VERSION_SLS = 565, //The version of the SLS component. VERSION_CDCL = 350, //The version of the CDCL component. SAT = 0, //Return value if formula is satisfiable. UNSAT = 1, //Return value if formula is unsatisfiable. UNKNOWN = 2, //Return value if satisfiability of formula is unknown. SOL_SLS = 50, //The solution was found by the SLS component. SOL_CDCL = 51, //The solution was found by the CDCL component. MAXCLAUSESIZE = 255, //The maximum clause length we assume. We need +1 for termination with 0. INTBITS = 8*sizeof(int) //The number of bits an integer has. }; #ifdef TABULIST int tabulistlength; extern unsigned int TABU; //The TABU list length. #endif extern const float OORANDMAX; //1.0f divided by RAND_MAX (see top of global.c) float SP; //Smoothing probability for walk sat scheme (see top of global.c). extern float* PS_TABLE; //Lookup-table for sparrow scores (p_s values; see top of global.c). extern float PS_TABLE3SAT[10]; //The lookup-table for 3-SAT; extern float PS_TABLE4SAT[10]; //The lookup-table for 4-SAT; extern float PS_TABLE5SAT[10]; //The lookup-table for 5-SAT; extern float PS_TABLE6SAT[10]; //The lookup-table for 6-SAT; extern float PS_TABLE7SAT[10]; //The lookup-table for >=7-SAT; extern float ageMeasure; //The usual age measuring (100000000000000000000.0f in standard sparrow). extern float ageIgnore; //The usual ignore for age (10000.0f in standard sparrow). //GENERAL char looksrandom; //Is set to 1 if the formula looks random and to 0 if not. unsigned char returnValue; //The return value of certain operations like the preprocessor, the SLS and later the DPLL. int seed; //The initial seed for the random number generator. unsigned int flips; //The number of flips we have performed so far. float ra; //The random number for the smoothing/increasing of clause weights. FILE *input; //The file containing the formula in DIMACS CNF INPUT format. int maxTime; //The maximum runtime in seconds. int solutionFoundBy; //What component found the solution. //VARIABLE RELATED int numVars; //The number of variables in the formula. int chosenVar; //The momentarily chosen variable for flipping. unsigned char* assignment; //The assignment a variable has. unsigned int* lastFlipped; //At what flip was a variable last flipped? char* score; //The variables scores. float* prob; //The probability for a variable to be chosen using the sparrow scheme. int** tempClauseAppearance; //The temporary set of clause appearances for a variable. Used for loading and for preprocessing. int** clauseAppearance; //clauseAppearance[i][j]: What is the j-th clause LITERAL i appears in? int** partners; //The variables that the specific variable appears together in a clause with. The first two //elements in the array of the second dimension tell you how much memory for storing partners //is available and how many are in use. int* decVars; //The variables with positive score. unsigned char* isDecVars; //Is 1 if the corresponding variable is listed in decVars or if blocked. int numDecVars; //The number of variables with positive score. //CLAUSE RELATED int minClauseSize; //The size of the smallest clause. int maxClauseSize; //The size of the largest clause. int numClauses; //The number of clauses in the formula. int* clauses; //This is the array storing the formula in a linear way. Never access this directly. int** clauseLiterals; //Points into the clauses array. clauseLiterals[i][j] gives you the j-th literal of clause i. int numOriginalClauses; //The number of original clauses of the formula. int* largeWeightClauses; //All clauses that have weight > 1. int numLargeWeightClauses; //The number of clauses with weight > 1. unsigned char weightStepping; //The amount of a single weight increase. int* unsatClauses; //The numbers of the unsatisfied clauses. int numUnsatClauses; //The number of unsatisfied clauses under the current assignment. unsigned char* clauseSize; //The size of a clause. unsigned char* numTrue; //The number of true literals in a clause. short int* trueVar; //One variable making the clause true (might be out-dated for clauses with several true vars). unsigned char* weight; //The current weight of a clause. Must not be larger than 255! int* whereUnsat; //Where this clause is found in the unsatClauses array. int** tempClauseLiterals; //Its clauseLiterals that are initialized way to large to read the formula //while the size of the clauses is yet unknown. //This array gets copied over to clauseLiterals once the length of all //clauses is known. The method copying over to clauseLiterals and freeing //the tempClauseLiterals is allocateAndInitializeSecondary(). //GLOBAL FORWARD DECLARATIONS inline int abs(int); int arrayContains(int*,int,int); void readInteger(int, char**, int, int*); void readUnsignedInteger(int, char**, int, unsigned int*); void readDouble(int, char**, int, double*); void readFloat(int, char**, int, float*); void readParameters(int, char**); #ifdef VERBOSE_SLS void printClauseInline(int**,int,int); void printClauses(); void printLargeWeightClauses(); void printVariables(); void printVariableScores(); void printUnsatClauses(); void printDecVars(); void printDecVarsInline(); void printCurrentAssignment(); void printCurrentAssignmentInline(); #endif #ifdef LONGHEADER void printFormulaStats(); #endif void printHeader(); void printSolution(); void printStats(); char isFormulaRandom(); void allocateAndInitializePrimary(); void allocateAndInitializeSecondary(); #ifdef DISPOSE void sls_dispose(); #endif void adaptToInstance(); void loadFormula(); int main(int, char**); #endif /* GLOBAL_H_ */ Makefile0000644011311700006200000000133211530465420012534 0ustar s_ogablestudentSHELL = /bin/sh CFLAGS = -std=c99 -m32 -O3 -static -fno-strict-aliasing -funroll-all-loops -fexpensive-optimizations -Wall -pedantic CC = gcc all: EagleUP global.o: global.h global.c preprocessor.o: preprocessor.h preprocessor.c sls.o: sls.h sls.c cdcl.o: cdcl.h cdcl.c verification_sls.o: verification_sls.h verification_sls.c verification_cdcl.o: verification_cdcl.h verification_cdcl.c EagleUP: global.o \ preprocessor.o \ sls.o \ cdcl.o \ verification_sls.o \ verification_cdcl.o $(CC) $(CFLAGS) global.o preprocessor.o sls.o cdcl.o verification_sls.o verification_cdcl.o -o EagleUP clean: -rm -f EagleUP -rm -f *.o -rm -f *~ -rm -f #*# -rm -f *.out -rm -f *.out.* preprocessor.c0000644011311700006200000002601511530465420013773 0ustar s_ogablestudent/* * preprocessor.c * * Created on: 10.09.2010 * Author: Oliver Gableske * Content: This file contains all methods to perform preprocessing. * * BE ADVISED: PREPROCESSING ONLY WORKS ON THE TEMPORARY TWO DIMENSIONAL ARRAYS: * -tempClauseLiterals * -tempClauseAppearance * SO PREPROCESSING MUST BE DONE BEFORE METHOD allocateAndInitializeSecondary() IS CALLED IN global.c */ #include "preprocessor.h" #ifdef PREPROCESSING //In case a clause is set to be ignored (for example because it contains a pure literal), then this method will //perform all operations to make the clause ignored. void preprocess_makeClauseIgnored(int cNum){ register int i,lit; if (isIgnoredClause[cNum]) return; isIgnoredClause[cNum] = 1; //Remove the clause from any appearance list. for (i = 0; (lit = tempClauseLiterals[cNum][i]) != 0; ++i){ preprocess_removeFromAppearanceList(lit,cNum); } if (cNum < numOriginalClauses) { //We use this to see if the formula is already satisfied. ++preproc_numIgnoredOriginalCls; if (preproc_numIgnoredOriginalCls == numOriginalClauses){ returnValue = SAT; } } } //This method will remove the clause with number cNum from the appearance list of literal lit. void preprocess_removeFromAppearanceList(int lit, int cNum){ //This will remove the clause with number cNum from the tempClauseAppearance list of lit. //It will also update the numClauseAppearance. register int i; for (i = 0; i < tempClauseAppearance[lit][0]; ++i){ if (tempClauseAppearance[lit][2+i] == cNum) { --tempClauseAppearance[lit][0]; tempClauseAppearance[lit][2+i] = tempClauseAppearance[lit][2+tempClauseAppearance[lit][0]]; tempClauseAppearance[lit][2+tempClauseAppearance[lit][0]] = -1; break; } } } //This method will remove a literal from a clause. void preprocess_removeLiteralFromClause(int toRemove, int cNum){ //This will remove literal toRemove from the clause cNum. register int j,lit; for (j = 0; (lit = tempClauseLiterals[cNum][j]) != 0; ++j){ if (lit == toRemove){ tempClauseLiterals[cNum][j] = tempClauseLiterals[cNum][--clauseSize[cNum]]; tempClauseLiterals[cNum][clauseSize[cNum]] = 0; preprocess_removeFromAppearanceList(lit,cNum); if (clauseSize[cNum] == 0){ //We have shrunk a clause to size 0. The formula must be unsatisfiable. returnValue = UNSAT; break; } #ifdef UNITPROP else if (clauseSize[cNum] == 1 && !preproc_isInUnitPropBuffer[abs(tempClauseLiterals[cNum][0])]){ //We have shruk a clause to size 1. It is unit now and needs to be processed by unit propagation. preproc_unitPropBuffer[preproc_unitPropBufferLast % numVars] = tempClauseLiterals[cNum][0]; preproc_isInUnitPropBuffer[abs(tempClauseLiterals[cNum][0])] = 1; ++preproc_unitPropBufferLast; } #endif break; } } } //This method will make an assignment. It is made forever, since the variable will, after this is done, occur //in no more clauses of the formula. This also means that some satisfied clauses are getting ignored and some //clauses are reduced in size. void preprocess_enforceAssignment(int var, int assi){ register int i,cNum,toEnforce = 0; //We want to set the variable var to the given assignment assi. Therefore, we have to make the assignment, //and then we have to make the clauses in which the literals of var become true ignored. And we have to //shrink all clauses in which the literals of var become false. if (assi == 0){ assignment[var] = 0; toEnforce = -var; //The negative one becomes true. } else { assignment[var] = 1; toEnforce = var; //The positive one becomes true. } #ifdef VERBOSE_PREPROC printf("c\t\t\tEnforcing the assignment of %i to %i.\n", var, assignment[var]); printf("c\t\t\tIgnoring clauses with literal becoming true: "); #endif //We have set the assignment of the variable. We must now mark all clauses it appears in satisfied as //being ignored. for (i = 0; i < tempClauseAppearance[toEnforce][0]; ++i){ cNum = tempClauseAppearance[toEnforce][2+i]; #ifdef VERBOSE_PREPROC printf("%i ", cNum); #endif preprocess_makeClauseIgnored(cNum); --i;//Since the previous step removes the current position in the array. } toEnforce = -toEnforce; #ifdef VERBOSE_PREPROC printf("\n"); printf("c\t\t\tShrinking clauses with literal becoming false: "); #endif //We must now shrink all clauses that the literal appears in unsatisfied. for (i = 0; i < tempClauseAppearance[toEnforce][0]; ++i){ cNum = tempClauseAppearance[toEnforce][2+i]; #ifdef VERBOSE_PREPROC printf("%i ", cNum); #endif //Find the literal, replace it with the last one and terminate clause anew. preprocess_removeLiteralFromClause(toEnforce,cNum); --i;//Since the previous step removes the current position in the array. } #ifdef VERBOSE_PREPROC printf("\n"); #endif } #ifdef UNITPROP //In case unit propagation is enabled, we will do this here. void preprocess_unitPropagation(){ register int lit; #ifdef VERBOSE_PREPROC printf("c\tPerforming unit propagation...\n"); #endif while(preproc_unitPropBufferPos < preproc_unitPropBufferLast && returnValue == UNKNOWN){ lit = preproc_unitPropBuffer[preproc_unitPropBufferPos % numVars]; #ifdef VERBOSE_PREPROC printf("c\t\t\tUnit propagation on literal %i.\n",lit); #endif if (lit > 0){ //We must assign the corresponding variable to 1. preprocess_enforceAssignment(abs(lit),1); } else { //We must assign it to 0. preprocess_enforceAssignment(abs(lit), 0); } //Additional changes might have occurred. Reset the preprocessing flag: preproc_repeat = 1; ++preproc_unitPropBufferPos; #ifdef COLLINF_PREP preproc_unitProps++; #endif preproc_isInUnitPropBuffer[abs(lit)] = 0;//We just handled unit propagation on this variable. } } #endif #ifdef PURELIT //In case pure literal elimination is enabled, we will do this here. void preprocess_pureLiterals(){ register int pureVar; #ifdef VERBOSE_PREPROC printf("c\tChecking for pure literals...\n"); #endif for (pureVar = 1; pureVar < numVars+1; ++pureVar){ if (!tempClauseAppearance[pureVar][0] || !tempClauseAppearance[-pureVar][0]){ if (!tempClauseAppearance[pureVar][0] && !tempClauseAppearance[-pureVar][0]){ //The variable does not occur in the formula at all. No changes necessary. continue; } #ifdef VERBOSE_PREPROC printf("c\t\tVariable %i is pure.\n",pureVar); #endif if (!tempClauseAppearance[pureVar][0]){//The negative literal is pure. #ifdef COLLINF_PREP preproc_pureLitsIgnoredCls += tempClauseAppearance[-pureVar][0]; #endif preprocess_enforceAssignment(pureVar, 0); } else if (!tempClauseAppearance[-pureVar][0]){//The positive literal is pure. #ifdef COLLINF_PREP preproc_pureLitsIgnoredCls += tempClauseAppearance[pureVar][0]; #endif preprocess_enforceAssignment(pureVar, 1); } preproc_repeat = 1; #ifdef COLLINF_PREP preproc_pureLits++; #endif } } } #endif //This method performs preprocessing for random instances. void preprocess_random(){ //Preprocessing loop for random instances. while(preproc_repeat && returnValue == UNKNOWN){ preproc_repeat = 0;//Reset the flag. #ifdef LONGHEADER #ifdef VERBOSE_PREPROC printf("c PREPROCESSING ROUND %i\n",preprocess_round++); #endif #endif #ifdef PURELIT if (returnValue == UNKNOWN) preprocess_pureLiterals(); #endif } } //This method performs preprocessing for application instances. void preprocess_application(){ //Preprocessing loop for application instances. while(preproc_repeat && returnValue == UNKNOWN){ preproc_repeat = 0;//Reset the flag. #ifdef LONGHEADER #ifdef VERBOSE_PREPROC printf("c PREPROCESSING ROUND %i\n",preprocess_round++); #endif #endif #ifdef UNITPROP if (returnValue == UNKNOWN) preprocess_unitPropagation(); #endif #ifdef PURELIT if (returnValue == UNKNOWN) preprocess_pureLiterals(); #endif #ifdef HBCE if (returnValue == UNKNOWN) preprocess_hbce(); #endif } } //This method is used for allocating and initializing the preprocessor related data-structures. void preprocess_allocateAndIntialize(){ int i; #ifdef LONGHEADER printf("c Allocating preprocessor memory... "); fflush(stdout); #endif //If preprocessing is enabled, we use this array to skip certain clauses. They will still appear in the //final formula, but they will not add anything to the partners or clauseAppearance arrays of the variables. //Basically, we pretend those clauses are not there. See allocateAndInitializeSecondary() for more details. isIgnoredClause = malloc(sizeof(unsigned char)*numClauses); for (i = 0; i < numClauses; ++i){ isIgnoredClause[i] = 0;//Initially, all clauses are not ignored. } preproc_numIgnoredOriginalCls = 0;//Initially, all clauses are not ignored. #ifdef UNITPROP //If unit propagation is enabled, we use this buffer to store clause-numbers of unit clauses. They will later //be handled by unit propagation in the preprocessor. preproc_isInUnitPropBuffer = malloc(sizeof(unsigned char)*(numVars+1)); for (i = 1; i < numVars+1; ++i){ preproc_isInUnitPropBuffer[i] = 0; } preproc_unitPropBuffer = malloc(sizeof(int)*numVars); preproc_unitPropBufferLast = 0; preproc_unitPropBufferPos = 0; #endif #ifdef HBCE //In case we want to perform hidden literal addition. #endif #ifdef COLLINF_PREP //Also some additional information might be collected about preprocessing if it is enabled. preproc_pureLits = 0; preproc_pureLitsIgnoredCls = 0; preproc_unitProps = 0; #endif #ifdef VERBOSE_PREPROC preprocess_round = 0; #endif #ifdef LONGHEADER printf("done.\n"); fflush(stdout); #endif } void preprocess_dispose(){ #ifdef LONGHEADER printf("c\tDisposing Preprocessor memory... ");fflush(stdout); #endif free(isIgnoredClause); #ifdef UNITPROP free(preproc_isInUnitPropBuffer); free(preproc_unitPropBuffer); #endif #ifdef LONGHEADER printf("done.\n");fflush(stdout); #endif } //This is the main method for the preprocessor. void preprocess(){ //Launch the preprocessor for the instance in question. preproc_repeat = 1;//Set the flag. if (looksrandom){ //The instance seems random, we use simple preprocessing. #ifdef LONGHEADER #ifdef VERBOSE_PREPROC printf("c Performing preprocessing for random instance... \n"); #else printf("c Performing preprocessing for random instance... "); #endif #endif preprocess_random(); } else { //The instance does not seem to be random, we use more sophisticated preprocessing. #ifdef LONGHEADER #ifdef VERBOSE_PREPROC printf("c Performing preprocessing for application instance... \n"); #else printf("c Performing preprocessing for application instance... "); #endif #endif preprocess_application(); } //Finally output the stuff the preprocessor wants to tell us. #ifdef LONGHEADER #ifdef VERBOSE_PREPROC printf("c done with preprocessing. Preprocessor says: "); #else printf("done with preprocessing. Preprocessor says: "); #endif if (returnValue == UNKNOWN){ printf("UNKNOWN.\nc\n"); } else if (returnValue == SAT){ printf("SATISFIABLE.\nc\n"); } else if (returnValue == UNSAT){ printf("UNSATISFIABLE.\nc\n"); } #endif /* LONGHEADER */ } #endif /* PREPROCESSING */ preprocessor.h0000644011311700006200000000410711530465420013776 0ustar s_ogablestudent/* * preprocessor.h * * Created on: 10.09.2010 * Author: Oliver Gableske * Content: This file contains all definitions and declarations for the preprocessor. */ #ifndef PREPROCESSOR_H_ #define PREPROCESSOR_H_ #include "global.h" #ifdef PREPROCESSING //GENERAL PREPROCESSOR STUFF int preproc_repeat; //If changes happened during preprocessing, we must repeat preprocessing. unsigned char* isIgnoredClause; //isIgnoredClause[i] tells you that clause i is ignored. int preproc_numIgnoredOriginalCls; //The number of original clauses that we already ignore. If this equals the //the number of original clauses, we are done and the formula is satisfiable. #ifdef VERBOSE_PREPROC int preprocess_round; //How many rounds the preprocessor performed. #endif //UNITPROP RELATED #ifdef UNITPROP int* preproc_unitPropBuffer; //A variable ring-buffer containing literals of unit clauses. unsigned char* preproc_isInUnitPropBuffer; //States whether a specific variable is already marked for unit prop. unsigned int preproc_unitPropBufferLast; //The last position in the ring buffer. unsigned int preproc_unitPropBufferPos; //The current position for the unit clause buffer. #endif //COLLECTING OF INFORMATION RELATED #ifdef COLLINF_PREP int preproc_unitProps; //The number of performed unit propagations. int preproc_pureLits; //The number of pure literals found in preprocessing. int preproc_pureLitsIgnoredCls; //The number of clauses being ignored for containing a pure literal. #endif //FORWARD DECLARATIONS OF PREPROCESSOR void preprocess_makeClauseIgnored(int); void preprocess_removeLiteralFromClause(int,int); void preprocess_removeFromAppearanceList(int,int); void preprocess_enforceAssignment(int, int); void preprocess_random(); void preprocess_application(); void preprocess_allocateAndIntialize(); void preprocess_dispose(); void preprocess(); #ifdef UNITPROP void preprocess_unitPropagation(); #endif #ifdef PURELIT void preprocess_pureLiterals(); #endif #ifdef HBCE void preprocess_hbce(); #endif #endif /* PREPROCESSING */ #endif /* PREPROCESSOR_H_ */ sls.c0000644011311700006200000005501111530465420012044 0ustar s_ogablestudent/* * sls.c * * Created on: 04.08.2010 * Author: Oliver Gableske * Content: This file contains all the methods for the SLS component of the solver. */ #include "sls.h" #ifdef PREPROCESSING #include "preprocessor.h" #endif #ifdef HYBRID #include "cdcl.h" #endif #ifdef HYBRID //This method makes no calls to the CDCL at all. void callCDCL_null(){} #ifdef MINIMACALLING #ifdef DISTRIBUTIONCAUCHY double distribution_pow(double n, int exp){ int i = 0; double res = 1.0f; while (i < exp){ res = res * n; ++i; } return res; } double distribution_atan(double x){ double result = 0.0; double pi = 3.141592653589793238462643383279502; if (x < -1.0){ result = -pi/2 - (x/(distribution_pow(x,2)+0.28f)); } else if (x > 1.0){ result = pi/2 - x/(distribution_pow(x,2) + 0.28f); } else { result = x/(1.0f+0.28f*distribution_pow(x,2)); } return result; } void distribution_createCauchyTable(){ int i,j; double pi = 3.141592653589793238462643383279502; int x; for (x = 0; x < CAUCHY_TABSIZE; ++x){ CAUCHY_TABLE[x] = 1.0f/pi * distribution_atan((x-CAUCHY_OFFSET)/CAUCHY_GAMMA)+0.5; } for (x = 0; x < CAUCHY_TABSIZE; ++x){ if (x <= CAUCHY_OFFSET){ CAUCHY_TABLE[x] = CAUCHY_TABLE[x] + CAUCHY_TABLE[x]*((x-((double)CAUCHY_OFFSET))/(double)(CAUCHY_OFFSET)); } else { CAUCHY_TABLE[x] = CAUCHY_TABLE[x] + (1-CAUCHY_TABLE[x])*((x-((double)CAUCHY_OFFSET))/(double)(CAUCHY_TABSIZE-CAUCHY_OFFSET)); } } CAUCHY_TABLE[CAUCHY_TABSIZE] = 1.0f; double cooldownPos,cooldownLastpos = 0; double cauchyVal; CAUCHY_COOLDOWNS[0] = 0; for (i = 0; i < CAUCHY_TABSIZE+1; ++i){ cauchyVal = CAUCHY_TABLE[i]; cooldownPos = (int)(cauchyVal*(double)CAUCHY_TABSIZE); for (j = cooldownLastpos+1; j < cooldownPos+1; ++j){ CAUCHY_COOLDOWNS[j] = (unsigned int)(((float)(CAUCHY_FLIPINCREASE * i)) * (100.0f/(float)CAUCHY_TABSIZE)); } cooldownLastpos = cooldownPos; } } void distribution_cauchy(){ float ra = OORANDMAX*rand(); int i = (int)(ra*((float)CAUCHY_TABSIZE)); cooldownLength = CAUCHY_COOLDOWNS[i]; } #endif //This method calls the CDCL in a local minimum, i.e. when there are no decreasing variables. void callCDCL_localMin(){ if (numDecVars > 0 || flips-cdcl_lastCall < cooldownLength) return; #ifdef TIMING cdcl_callStarttime = (float) clock(); #endif #ifdef VERBOSE_SLS printf("c CDCL call...\n");fflush(stdout); #endif returnValue = cdcl(); #ifdef TIMING cdcl_callEndtime = (float) clock(); cdcl_runtime += (cdcl_callEndtime-cdcl_callStarttime)/(float)CLOCKS_PER_SEC; #endif //Adapt cool-down length interval for next call. distribution(); } #endif #ifdef VSIDS_INCREASEINFLIPS //This method increases the VSIDS scores of a variable in every flip. inline void sls_updateVSIDSScores(){ vsidsScore[chosenVar] += bump_factor_flips; } #endif #endif /* HYBRID */ //This method calculates the initial variables scores and decides what variables are decreasing the number of //unsatisfied clauses when flipped. void calculateInitialScoresAndDecVars(){ register int i,j,var; #ifdef LONGHEADER printf("c Calculating initial scores of the variables... "); #endif //Initially, all clauses have weight 1. No need to touch the clause weights in the following calculation. for (i = 0; i < numClauses; i++){ #ifdef PREPROCESSING if (isIgnoredClause[i]) continue; //An ignored clause cannot add to the scores. #endif if (numTrue[i] > 1){//numTrue > 1! //For a clause with more than 1 true literal, no single variable can //change the state of the clause. Therefore, it cannot add to the //scores of any variable. continue; } //There will be score updates. if (numTrue[i] == 1){//numTrue == 1! //Exactly one literal in this clause is true. The corresponding variable //can change its state when it is flipped. Therefore we must decrease the //score for this corresponding variable. score[trueVar[i]] -= weightStepping; } else { //numTrue == 0! //None of the contained literals will satisfies the clause. A flip to //any of the variables will therefore satisfy it. All of the variables //will have their score improved. for (j = 0; (var = abs(clauseLiterals[i][j])) > 0; j++){ score[var] += weightStepping; } } } for (i = 1; i < numVars+1; i++){ if (score[i] > 0){ decVars[numDecVars] = i; numDecVars++; isDecVars[i] = 1; #ifdef COLLINF_SLS variables[i].lastMarkedAt = 0; #endif } else { isDecVars[i] = 0; } } #ifdef LONGHEADER printf("%i have positive score.\nc\n", numDecVars); #endif } #ifdef WEIGHTING //A dummy method facilitating no clause weight updates. The method pointer of checkClauseWeights will point to //this method if clause weighting is enabled using the flag WEIGHTING but the solver decided to not use clause //weights. See adaptToInstance() in global.c. void checkClauseWeightsNull(){} //This method performs clause weighting updates based on PAWS (pure additive weighting scheme). void checkClauseWeightsLinear(){ register int i,var,cNum; int* ptrInCls; #ifdef COLLINF_SLS numCheckClauseWeight++; #endif if (OORANDMAX*rand() < SP){ //Smoothing of clause weights. #ifdef VERBOSE_SLS printf("c The smoothing random value was %.3f < %.3f!\nc\n",ra,SP); printf("c Smoothing clause weights of the clauses:\n"); #endif for (i=0; i < numLargeWeightClauses; i++){ cNum = largeWeightClauses[i]; if (numTrue[cNum] > 0){ #ifdef VERBOSE_SLS printf("c\tClause %i, new weight %i-1: \t",largeWeightClauses[i],weight[largeWeightClauses[i]]); #endif if ((weight[cNum] -= weightStepping) == weightStepping){ #ifdef VERBOSE_SLS printf("Removing clause %i(%i). ",largeWeightClauses[i],weight[largeWeightClauses[i]]); #endif largeWeightClauses[i] = largeWeightClauses[--numLargeWeightClauses]; --i; } #ifdef VERBOSE_SLS else { printf("Adding %i(%i). ",cNum,weight[cNum]); } #endif if (numTrue[cNum] == 1){//Only one true literal is found. //This trueVar must get its score INCREASED because its penalty becomes smaller by 1! var = trueVar[cNum]; score[var] += weightStepping; #ifdef VERBOSE_SLS printf("Has %i true literals. Increasing the scores of(to): %i(%i) ", numTrue[cNum], var, score[var]); #endif if ((score[var] > 0) && (isDecVars[var] == 0) && (lastFlipped[var] < flips - 1)){ decVars[numDecVars++] = var; isDecVars[var] = 1; #ifdef COLLINF_SLS addDecrease++; variables[var].lastMarkedAt = flips; #endif } } #ifdef VERBOSE_SLS else { printf("Has %i true literals. No score update necessary. ",numTrue[cNum]); } printf("\n"); #endif } #ifdef VERBOSE_SLS else { printf("c\t Clause %i, keeps its weight since it is still unsatisfied. ",largeWeightClauses[i]); printf("Adding clause %i(%i).\n",largeWeightClauses[i],weight[largeWeightClauses[i]]); } #endif } #ifdef COLLINF_SLS numWeightDecrease++; #endif #ifdef VERBOSE_SLS printf("c\nc\n"); #endif } else { //Increasing of clause weights. #ifdef VERBOSE_SLS printf("c The smoothing random value was %.3f >= %.3f.\nc\n",ra,SP); printf("c Increasing the clause weights of clauses:\n"); #endif for (i = 0; i < numUnsatClauses; i++){ cNum = unsatClauses[i]; weight[cNum] += weightStepping; #ifdef COLLINF_SLS if (weight[unsatClauses[i]] > maxClauseWeight){ maxClauseWeight = weight[cNum]; } #endif #ifdef VERBOSE_SLS printf("c\t%i\t(to weight %i)\t changing scores: ",cNum,weight[cNum]); #endif for (ptrInCls = clauseLiterals[cNum]; (var = abs(*ptrInCls)) > 0; ptrInCls++){ score[var] += weightStepping; #ifdef VERBOSE_SLS printf("%i+ to %i, ", var, score[var]); #endif if ((score[var] > 0) && (isDecVars[var] == 0) && (lastFlipped[var] < flips - 1)){ decVars[numDecVars++] = var; isDecVars[var] = 1; #ifdef COLLINF_SLS variables[var].lastMarkedAt = flips; addIncrease++; #endif } } #ifdef VERBOSE_SLS printf("\nc"); #endif if (weight[cNum] == 2*weightStepping){ //This clause is newly having a large weight. largeWeightClauses[numLargeWeightClauses++] = cNum; } } #ifdef COLLINF_SLS numWeightIncrease++; #endif #ifdef VERBOSE_SLS printf("\n"); #endif } } #endif /* WEIGHTING */ //This method picks a new variable for flipping. void pickVar(){ register int i, var, cNum,*ptr; register float age,r; register float totalP = 0.0; register char bestScore = -127; register unsigned bestLastFlipped = flips; //Picking a variable works in three phases: //1. We try to pick a variable with positive score. //2. If no such variable exists, we perform the Sparrow-like variable selection, // by picking an unsatisfied clause at random and for this clause, calculate the P values // and pick the variable according to the probability distribution given by the P values. //3. Return the chosen variable. #ifdef VERBOSE_SLS printf("c Picking variable...\n"); #endif chosenVar = 0; //1. Pick variable to flip using SCORES #ifdef VERBOSE_SLS printf("c By scores...\n"); #endif for (i = 0; i < numDecVars; ++i){ var = decVars[i]; #ifdef COLLINF_SLS if (score[var] > maxVariableScore) maxVariableScore = score[var]; if (score[var] < minVariableScore) minVariableScore = score[var]; #endif if (score[var] < weightStepping){ #ifdef VERBOSE_SLS printf("c\tIGNORING VAR: %i, score: %i, lastFlipped:%u\n", var,score[var], lastFlipped[var]); #endif isDecVars[var] = 0; decVars[i] = decVars[--numDecVars]; --i; #ifdef COLLINF_SLS if (flips - variables[var].lastMarkedAt > variables[var].longestMarkingDistance){ variables[var].longestMarkingDistance = flips - variables[var].lastMarkedAt; variables[var].longestMarkingDistEnd = flips; } #endif } else { if (score[var] > bestScore #ifdef TABULIST && (flips < TABU || lastFlipped[var] < flips+1-TABU) #endif ){ chosenVar = var; bestScore = score[var]; bestLastFlipped = lastFlipped[var]; #ifdef VERBOSE_SLS printf("c\tCHOSEN VAR: %i, score: %i, lastFlipped:%u\n", chosenVar,score[chosenVar], lastFlipped[chosenVar]); #endif } else if (bestScore == score[var]){ if (lastFlipped[var] < bestLastFlipped){ chosenVar = var; bestLastFlipped = lastFlipped[var]; } } #ifdef VERBOSE_SLS else { printf("c\tSKIPPED VAR:%i, score: %i, lastFlipped:%u" #ifdef TABULIST ", isTabu:%i" #endif "\n", var,score[var], lastFlipped[var] #ifdef TABULIST ,(flips >= TABU && lastFlipped[var] >= flips+1-TABU)?1:0 #endif ); } #endif } } //End pick variable to flip using SCORES if (chosenVar != 0){ //The scores did help. A variable with positive score exists and was chosen! #ifdef VERBOSE_SLS printf("c Variable picked by positive score: %i\nc\n",chosenVar); #endif #ifdef COLLINF_SLS isRandomFlip = 0; #endif return; } //2. Pick variable to flip using Sparrow probability distribution. #ifdef VERBOSE_SLS printf("c No candidate variable with positive score was found.\n"); printf("c Picking a random clause to satisfy.\n"); #endif #ifdef COLLINF_SLS isRandomFlip = 1; #endif cNum = unsatClauses[rand()%numUnsatClauses]; //With the Sparrow scheme from Adrian Balint and Andreas Froehlich, the original parameters are as follows: //C1 = 2.0; C2 = 4.0; C3 = 100000; This stuff is however implemented extra tight. So you wont be able to //see the actual sparrow scheme in the code. The comments give you a hint on what is done exactly. //After heavy tuning, the parameters got adapted as you can see in global.c (top for the PS_TABLE) and //the age. C3 is no constant in this solver, it depends on the instance size. #ifdef VERBOSE_SLS printf("c The clause picked randomly is: %i\n",cNum); #endif for (i = 0; (var = abs(clauseLiterals[cNum][i])) > 0; ++i){ age = (float)(flips-lastFlipped[var]); //We first calculate the p_s(var) value. All the following p_s values are already multiplied with //ageMeasure. This saves us the necessity for a mulitplication later on. if (score[var] <= -10) { //Too small values for score lead to zero probability anyway. We cutoff at -10! //The following line is equal to: prob[var] = pow(C1,(double)-10); prob[i] = PS_TABLE[0]; } else if (score[var] < 0){ //This is the score range that we are interested in. //The following line is equal to: prob[var] = pow(C1,(double)score[var]); prob[i] = PS_TABLE[abs(score[var])]; } else { //A variable with 0 or positive score will receive the constant 1.0 p_s probability here. //This is because a variable with positive score would have been in decVars, but the fact //that we are in this method right now means the decVars set is empty. This then means //that all variables with positive score are "blocked" because of the g2wsat scheme. prob[i] = ageMeasure; } //Second we calculate the p_a(var) value. prob[i] already contains the ageMeasure. if (age > ageIgnore){ //Age seems to be big enough to have an impact. age = age*age; age = age*age; prob[i] += age; } totalP += prob[i]; #ifdef VERBOSE_SLS printf("c\tVariable:%i\t(score: %i\tage: %7.u)\tp_%i:\t%f\n", abs(clauseLiterals[cNum][i]),score[abs(clauseLiterals[cNum][i])], flips-lastFlipped[abs(clauseLiterals[cNum][i])],abs(clauseLiterals[cNum][i]),prob[i]); #endif } #ifdef VERBOSE_SLS printf("c\ttotalP:%.10f\n",totalP); #endif //Now, based on the p values of the clause cNum variables, pick one to flip. //Pick a random number between 0 and 1. r = (OORANDMAX*rand())*totalP; #ifdef VERBOSE_SLS printf("c\tr: %.10f\n",r); #endif //We sum up the probabilities of the variables in the clause until the sum is >= r. The variable for //which this happens is the one we pick. If this does not happen (number crunching problem) we pick the //last variable in the array. i = 0; for (ptr = clauseLiterals[cNum]; *ptr != 0; ++ptr){ totalP -= prob[i++]; chosenVar = abs(*ptr); if (totalP <= r){ #ifdef VERBOSE_SLS printf("c\t\ttotalP = totalP - p_%i:\t%.10f <= r. Done.\n",abs(clauseLiterals[cNum][i-1]),totalP); #endif break; } #ifdef VERBOSE_SLS else { printf("c\t\ttotalP = totalP - p_%i:\t%.10f\n",abs(clauseLiterals[cNum][i-1]),totalP); } #endif } //End pick variable to flip using Sparrow probability distribution. //Finally, if weighting is enabled, update the clause weights after this random variable choice. #ifdef WEIGHTING checkClauseWeights(); #endif #ifdef VERBOSE_SLS printf("c Variable picked by probability distribution: %i\nc\n", chosenVar); #endif } //This method performs a variable flip. void flipVar(){ register int cNum,toEnforce,var,lit,*ptr,*ptrInCls; //We want to flip the assignment of the selected variable. //Tasks to perform: //1. Flip the assignment of the variable, increase flips and update variable.lastFlipped. // Furthermore, we mark all partner variables that have a positive score. //2. For all clauses in which the chosenVar is in (distinct between the clauses it appears in with // positive and with negative sign): // a.update numtrueVars, trueVar // b.update the scores for the variables in the clause // c.if clause is unsatisfied, put it in the unsatClauses array // d.if clause becomes satisfied, remove it from the unsatClauses array //4.Check all partners again and those, that have a positive score BUT NO mark are added to decVars #ifdef COLLINF_SLS if (lastVar == chosenVar){ variables[chosenVar].numBackToBackFlips++; if (isRandomFlip) { variables[chosenVar].numBackToBackRand++; } doubleFlips++; } lastVar = chosenVar; if (isRandomFlip){ numRandomFlip++; } variables[chosenVar].numFlipped++; #endif //1. #ifdef VERBOSE_SLS printf("c FLIP NUMBER: %u, Flipping variable: %i\n",flips, chosenVar); #endif if (assignment[chosenVar]){ toEnforce = -chosenVar;//The clauses that contain -chosenVar may become sat. } else { toEnforce = chosenVar;//The clauses that contain chosenVar may become unsatisfied. } flips++; lastFlipped[chosenVar] = flips; assignment[chosenVar] = 1 - assignment[chosenVar]; #ifdef VERBOSE_SLS printf("c Changing variable %i assignment to %i\n",chosenVar, assignment[chosenVar]); printf("c Marking variables with positive score before flip: "); #endif for (ptr = partners[chosenVar]+2; (var = *ptr) > 0; ++ptr){ isDecVars[var] = (score[var] > 0); #ifdef VERBOSE_SLS printf("%i:%i ", var,(score[var] > 0)); #endif } #ifdef VERBOSE_SLS printf("\n"); #endif //2. #ifdef VERBOSE_SLS printf("c Checking clauses for flip of %i:\n",chosenVar); #endif //First check all clauses where the chosenVar becomes true. for (ptr = clauseAppearance[toEnforce]; (cNum = *ptr) > -1; ++ptr){ #ifdef VERBOSE_SLS printf("c\tClause %i(%i):\t", cNum,weight[cNum]); printf("gains true literal, numTrue: %i+1<%i>.\tChanging scores: ", numTrue[cNum], trueVar[cNum]); #endif #ifdef COLLINF_SLS clauseStateChangesTotal++; #endif if (++numTrue[cNum] < 2){//Must be one then. //Before, the clause had no true literals. All its variables had a make score through it. //The make score will now be removed. Furthermore, the chosenVar gets a brake penalty for //this clause. The chosenVar is the new trueVar in the clause. //This clause is removed from the unsatClauses array. trueVar[cNum] = chosenVar; score[chosenVar] -= weight[cNum]; //Brake penalty. #ifdef VERBOSE_SLS printf("(replacing trueVar with %i) ", trueVar[cNum]); printf("%i- to %i, ", chosenVar, score[chosenVar]); #endif for (ptrInCls = clauseLiterals[cNum]; (var = abs(*ptrInCls)) > 0; ptrInCls++){ //Reduce scores for variables, they all can not make the clause anymore. score[var] -= weight[cNum]; #ifdef VERBOSE_SLS printf("%i- to %i, ",var, score[var]); #endif } unsatClauses[whereUnsat[cNum]] = unsatClauses[--numUnsatClauses]; whereUnsat[unsatClauses[whereUnsat[cNum]]] = whereUnsat[cNum]; #ifdef COLLINF_SLS litTrueOne++; #endif #ifdef VERBOSE_SLS printf("SAT "); #endif } else if (numTrue[cNum] < 3){//Must be two then. //The chosenVar newly adds a true literal to the clause. The old true literal stays true. //The old true literal is relieved of its penalty because it cannot brake the clause anymore. score[trueVar[cNum]] += weight[cNum];//Remove penalty. #ifdef VERBOSE_SLS printf("%i+ to %i, ", trueVar[cNum], score[trueVar[cNum]]); #endif #ifdef COLLINF_SLS litTrueTwo++; #endif }//else more than two true literals in the clause. Nothing to do. #ifdef COLLINF_SLS else { litTrueMore++; } #endif //Clause handling complete. #ifdef VERBOSE_SLS printf("\n"); #endif } //First check all clauses where the chosenVar becomes false. toEnforce = -toEnforce; for (ptr = clauseAppearance[toEnforce]; (cNum = *ptr) > -1; ++ptr){ //Checking all its clauses where the variable occurs in with POSITIVE sign. #ifdef VERBOSE_SLS printf("c\tClause %i(%i):\t", cNum,weight[cNum]); printf("loses true literal, numTrue: %i-1<%i>.\tChanging scores: ", numTrue[cNum], trueVar[cNum]); #endif #ifdef COLLINF_SLS clauseStateChangesTotal++; #endif if (--numTrue[cNum] < 1){//Must be zero then //The chosenVar was the last true literal, we just destroyed it. //The chosenVar had a penalty for this clause because it made it true on its own. We remove //the penalty. Furthermore, all variables in the clause get their score increased. //We add this clause to the unsatClauses arary. score[chosenVar] += weight[cNum];//Remove brake penalty. #ifdef VERBOSE_SLS printf("%i+ to %i, ", chosenVar, score[chosenVar]); #endif for (ptrInCls = clauseLiterals[cNum]; (var = abs(*ptrInCls)) > 0; ptrInCls++){ //Increase scores for variables, they all can make the clause anymore. score[var] += weight[cNum]; #ifdef VERBOSE_SLS printf("%i+ to %i, ",var, score[var]); #endif } whereUnsat[cNum] = numUnsatClauses; unsatClauses[numUnsatClauses++] = cNum; #ifdef COLLINF_SLS litFalseZero++; #endif #ifdef VERBOSE_SLS printf("UNSAT "); #endif } else if (numTrue[cNum] < 2){//Must be one then. //Here we destroyed one of the true literals in the clause. We cannot guarantee that the //last true literal in this clause is up to date, so we check it. //Furthermore, the new trueVar gets a penalty because it can now brake the clause. for (ptrInCls = clauseLiterals[cNum]; (lit = *ptrInCls) != 0; ++ptrInCls){ if ((lit>0) == (assignment[abs(lit)])){ //Here we have found the one true literal of the clause. trueVar[cNum] = abs(lit); score[abs(lit)] -= weight[cNum];//Add penalty. #ifdef VERBOSE_SLS printf("(replacing trueVar with %i) ", trueVar[cNum]); #endif break; } } #ifdef COLLINF_SLS trueVarMiss++; litFalseOne++; #endif #ifdef VERBOSE_SLS printf("%i- to %i ", trueVar[cNum], score[trueVar[cNum]]); #endif } #ifdef COLLINF_SLS else { litFalseMore++; } #endif //Clause handling complete. #ifdef VERBOSE_SLS printf("\n"); #endif } #ifdef VERBOSE_SLS printf("c Updating decVars with partners (+ = yes, / = ignored): "); #endif for (ptr = partners[chosenVar]+2; (var = *ptr) > 0 ; ++ptr){ #ifdef VERBOSE_SLS printf("%i(%i)", var, score[var]); #endif if (!isDecVars[var] && score[var] > 0){ decVars[numDecVars++] = var; #ifdef COLLINF_SLS variables[var].lastMarkedAt = flips; #endif #ifdef VERBOSE_SLS printf("+ "); #endif } #ifdef VERBOSE_SLS printf("/ "); #endif } #ifdef VERBOSE_SLS printf(" done.\n"); #endif } //This method contains the main loop for the SLS solver. void sls(){ returnValue = UNKNOWN; while(1){ if (numUnsatClauses == 0){ //All clauses satisfied by current assignment. returnValue = SAT; return; } #ifdef COLLINF_SLS if (numUnsatClauses == 1) numOfLocalMinima++; #endif #ifdef TIMING //If TIMING flag is active, the solver will check every TIMECHECKINTERVAL many flips if //the time in seconds maxTime is used up. If so, we have to stop. if (flips % TIMECHECKINTERVAL == 0 && maxTime > 0){//Respect timing? if(((float)(clock())/((float)CLOCKS_PER_SEC)) > (float)maxTime){//Time to stop? returnValue = UNKNOWN; printf("c Timeout.\n"); break; } } #endif pickVar(); flipVar(); #ifdef HYBRID callCDCL(); if (returnValue == SAT || returnValue == UNSAT){ return; } #ifdef VSIDS_INCREASEINFLIPS if (heuristic == HEURVSIDS){ sls_updateVSIDSScores(); } #endif #endif #ifdef VERBOSE_SLS printClauses(); printVariableScores(); printUnsatClauses(); printLargeWeightClauses(); printDecVars(); #endif } } sls.h0000644011311700006200000000710711530465420012054 0ustar s_ogablestudent/* * sls.h * * Created on: 04.08.2010 * Author: Oliver Gableske * Content: This file contains all definitions and declarations for the SLS component. */ #ifndef SLSDRMP_H_ #define SLSDRMP_H_ #include "global.h" //FOR COLLECTING ADDITIONAL INFORMATION #ifdef COLLINF_SLS //Additional information about clauses being affected by a flip is stored struct variable { //A struct representing a variable to collect additional information. int numFlipped; //The number of flips this variable received. int numBackToBackFlips; //The number of back to back flips for this variable. int numBackToBackRand; //The number of back to back flips in random flips. int longestMarkingDistance; //How long was this variable being marked most in a row? int lastMarkedAt; //The flip this variable was last marked at. int longestMarkingDistEnd; //At what flip did this distance end? }; struct variable* variables; //The array for additional variable informations. int litTrueOne; //The literal became true by the flip. Clause has one true literal. int litTrueTwo; //The literal became true by the flip. Clause has two literals. int litTrueMore; //The literal became true by the flip. Clause has more than two true. int litFalseZero; //The literal became false by the flip. The clause has no true literals. int litFalseOne; //The literal became false by the flip. The clause has one true literal. int litFalseMore; //The literal became false by the flip. The clause has two true literals. int trueVarMiss; //A new trueVar for a clause had to be searched. int clauseStateChangesTotal; //How often did some clause change its number of true literals. int maxClauseWeight; //The maximum clause weight ever occurring. int maxVariableScore; //The largest variable score ever encountered. int minVariableScore; //The smallest variable score ever encountered. int addIncrease; //How often a variable was inserted in decVar while clause weight increase int addDecrease; //How often a variable was inserted in decVar while clause weight decrease int doubleFlips; //The number of times a variable was flipped twice. int numRandomFlip; //The number of random (Sparrow-like) flips. int lastVar; //The last variable that was flipped. int numWeightDecrease; //The number of times the clause weights got smoothed. int numWeightIncrease; //The number of times the clause weights got increased. int numCheckClauseWeight; //How often the clause weights were checked. int numOfLocalMinima; //The number of assignments found that left only one clause unsatisfied. int maxNumClauseAppearance; //The maximum number of clauses a single literal appeared in. char isRandomFlip; //Specifies whether the variable was picked randomly or by greedily. #endif //FORWARD DECLARATIONS #ifdef HYBRID void (*callCDCL)(); void callCDCL_null(); #ifdef MINIMACALLING unsigned int cooldownLength; #ifdef DISTRIBUTIONCAUCHY unsigned int* CAUCHY_COOLDOWNS; double* CAUCHY_TABLE; double CAUCHY_GAMMA; double CAUCHY_OFFSET_FRACTION; int CAUCHY_OFFSET; int CAUCHY_TABSIZE; int CAUCHY_FLIPINCREASE; double distribution_pow(double, int); void distribution_createCauchyTable(); double distribution_atan(double); void distribution_cauchy(); #endif void (*distribution)(); void callCDCL_localMin(); #endif #ifdef VSIDS_INCREASEINFLIPS inline void sls_updateVSIDSScores(); #endif #endif /* HYBRID */ void calculateInitialScoresAndDecVars(); void (*checkClauseWeights)(); void checkClauseWeightsNull(); void checkClauseWeightsLinear(); void pickVar(); void flipVar(); void sls(); #endif /* SLSDRMP_H_ */ verification_cdcl.c0000644011311700006200000004525211530465420014720 0ustar s_ogablestudent/* * verification_cdcl.c * * Created on: 23.10.2010 * Author: Oliver Gableske * Content: This file contains all methods to perform verifications for the CDCL component. * */ #include "verification_cdcl.h" #ifdef HYBRID #ifdef VERIFICATION_CDCL int verification_cdcl_countNumberOfSatsifyingLiterals(int cNum){ int res = 0, *clsPtr; for (clsPtr = clauseLiterals[cNum]; *clsPtr != 0; ++clsPtr){ if (tvalue[abs(*clsPtr)] != 2 && ((tvalue[abs(*clsPtr)] > 0) == (*clsPtr > 0))) { ++res; } else if ((tvalue[abs(*clsPtr)] == 2) && ((assignment[abs(*clsPtr)] > 0) == (*clsPtr > 0))){ ++res; } } return res; } int verification_cdcl_countNumberOfUnassignedVaribales(int cNum){ int res = 0, *clsPtr; for (clsPtr = clauseLiterals[cNum]; *clsPtr != 0; ++clsPtr){ if (tvalue[abs(*clsPtr)] == 2){ ++res; } } return res; } #ifndef VERBOSE_CDCL void cdcl_printClauseInline(int cNum){ register int i; printf("[%6.1i|%6.1i|%6.1i] ", cNum,watchedLiteral1[cNum],watchedLiteral2[cNum]); for (i = 0; clauseLiterals[cNum][i] != 0; i++){ printf("%6.1i(pval:%i,tval:%i)", clauseLiterals[cNum][i], assignment[abs(clauseLiterals[cNum][i])], tvalue[abs(clauseLiterals[cNum][i])]); fflush(stdout); } } #endif void verification_cdcl_verifyInitCall(){ int lit,*arrPtr,cNum,found,pos; //We will assert here that the call was correctly initialized. First we assert that the watched literals are //correct. Check from the point of view of the variables. for (lit = -numVars; lit < numVars+1; ++lit){ //Literal lit as first watcher. if (lit == 0){ //Lit 0 should not watch anything. if (watches1[lit][0] != 0 || watches1[lit][2] != -1){ printf("c e Error because literal 0 has something to watch as first watcher. Not possible.\n"); exit(-1); } } else { for (arrPtr = watches1[lit]+2; *arrPtr != -1; ++arrPtr){ if (watchedLiteral1[*arrPtr] != lit){ printf("c e Error because literal %i is spposed to watch clause %i, but clause is not aware.", lit, *arrPtr); exit(-1); } } } //Literal lit as second watcher. if (lit == 0){ //Lit 0 should not watch anything. if (watches2[lit][0] != 0 || watches2[lit][2] != -1){ printf("c e Error because literal 0 has something to watch as second watcher. Not possible.\n"); exit(-1); } } else { for (arrPtr = watches2[lit]+2; *arrPtr != -1; ++arrPtr){ if (watchedLiteral2[*arrPtr] != lit){ printf("c e Error because literal %i is spposed to watch clause %i, but clause is not aware.", lit, *arrPtr); exit(-1); } } } } //Check from the point of view of the clauses. for (cNum = 0; cNum < numCDCLClauses; ++cNum){ #ifdef PREPROCESSING if (cNum < numClauses && isIgnoredClause[cNum]) { continue; //Skip this if ignored. } #endif //Check if the clause correctly knows about its first watcher. if (watchedLiteral1[cNum] == 0){ printf("c e Error because having a clause with no first watched literal is crap.\n"); exit(-1); } lit = watchedLiteral1[cNum]; found = 0; pos = 2; while (watches1[lit][pos] > -1){ if (watches1[lit][pos++] == cNum){ found = 1; break; } } if (!found){ printf("c e Error because clause names first watched literal for which the clause is not found in the" " watches1 array.\n"); exit(-1); } //Check if the clause correctly knows about its second watcher. If the clause has none we assert that it //is a unit clause. lit = watchedLiteral2[cNum]; if (lit != 0){ found = 0; pos = 2; while (watches2[lit][pos] > -1){ if (watches2[lit][pos++] == cNum){ found = 1; break; } } if (!found){ printf("c e Error because clause names second watched literal for which the clause is not found " "in the watches2 array.\n"); exit(-1); } } else { if (clauseLiterals[cNum][1] != 0){ printf("c e Error because the clause has no second watcher but it is not unit: %i.\n",cNum); exit(-1); } } } //We also check if all variables in tvalue are either unassigned or part of a unit clause. for (pos = 1; pos < numVars+1; ++pos){ if (tvalue[pos] != 2){ //Here we need to find the clause that contains the respective literal and is unit. The corresponding //variable is pos. if (tvalue[pos] == 0){ //The respective literal is -pos. -pos must be the first watcher of the clause being unit, so we check //all the clauses where this is the case. for (arrPtr = watches1[-pos]; *arrPtr != -1; ++arrPtr){ if (clauseLiterals[*arrPtr][1] == 0){ found = 1; break; } } } else { //The respective literal is pos. pos must be the first watcher of the clause being unit, so we check //all the clauses where this is the case. for (arrPtr = watches1[pos]; *arrPtr != -1; ++arrPtr){ if (clauseLiterals[*arrPtr][1] == 0){ found = 1; break; } } } if (!found){ printf("c e Error because after initialization of the CDCL, no variable should be assigned that is not" "part of a unit clause.\n"); exit(-1); } } } } void verification_cdcl_verifyMemoryAllocation(){ if (cdcl_decisionStack_assignments == (void*)0 || watches1 == (void*)0 || watches2 == (void*)0 || clauseLiterals == (void*)0 || watchedLiteral1 == (void*)0 || watchedLiteral2 == (void*)0 || watches1pos == (void*)0 || watches2pos == (void*)0){ printf("c e Error because allocation of memory failed. Pointers are:\n"); printf("c watches1 = %p\n",(void*)watches1); printf("c watches2 = %p\n",(void*)watches2); printf("c clauseLiterals %p\n", (void*)clauseLiterals); printf("c watchedLiteral1 %p\n", (void*)watchedLiteral1); printf("c watchedLiteral2 %p\n", (void*)watchedLiteral2); printf("c watches1pos %p\n", (void*)watches1pos); printf("c watches2pos %p\n", (void*)watches2pos); printf("c cdcl_decisionStack_assignments = %p\n",(void*)cdcl_decisionStack_assignments); exit(-1); } } void verification_cdcl_learnedClauseHasFirstWatcher(){ if (watchedLiteral1[numCDCLClauses] == 0){ printf("c e Error because selection of first watcher failed for learned clause.\n"); exit(-1); } //We now see to it that the clause is correctly found in the watches array of the second watcher. int found = 0, pos = 2; while (watches1[watchedLiteral1[numCDCLClauses]][pos] > -1){ if (watches1[watchedLiteral1[numCDCLClauses]][pos++] == numCDCLClauses){ found = 1; break; } } if (!found){ printf("c e Error because the newly learned clause has a first watcher but it does not appear in " "the watches1 array.\n"); exit(-1); } } void verification_cdcl_learnedClauseHasSecondWatcher(){ if (watchedLiteral2[numCDCLClauses] == 0){ printf("c e Error because selection of second watcher failed for learned clause.\n"); exit(-1); } //We now see to it that the clause is correctly found in the watches array of the second watcher. int found = 0, pos = 2; while (watches2[watchedLiteral2[numCDCLClauses]][pos] > -1){ if (watches2[watchedLiteral2[numCDCLClauses]][pos++] == numCDCLClauses){ found = 1; break; } } if (!found){ printf("c e Error because the newly learned clause has a second watcher but it does not appear in " "the watches2 array.\n"); exit(-1); } //We also assert, that the first and second watcher are different. if (watchedLiteral1[numCDCLClauses] == watchedLiteral2[numCDCLClauses]){ printf("c e Error because watched literals must always be different which is not the case for the newly" " learned clause.\n"); exit(-1); } } void verification_cdcl_clauseHasOldFirstWatcher(int cNum){ if (watchedLiteral1[cNum] == 0){ printf("c e Error because clause has no first watcher.\n"); exit(-1); } if (watches1[watchedLiteral1[cNum]][2+watches1pos[cNum]] != cNum){ printf("c e Error because clause has first watcher but it is not found in the said position.\n"); exit(-1); } } void verification_cdcl_clauseHasOldScondWatcher(int cNum){ if (watchedLiteral2[cNum] == 0){ printf("c e Error because clause has no second watcher.\n"); exit(-1); } if (watches2[watchedLiteral2[cNum]][2+watches2pos[cNum]] != cNum){ printf("c e Error because clause has second watcher but it is not found in the said position.\n"); exit(-1); } } void verification_cdcl_verifyFirstWatcherReplacement_primary(int cNum, int oldLit, int newLit){ //We assert that cNum is indeed a valid clause. if (cNum < 0 || cNum >= numCDCLClauses){ printf("c e Error because clause number seems to be invalid.\n");exit(-1); } //We do assert here that newLit is not oldLit and that both values make sense. if (newLit == oldLit || newLit == 0 || oldLit == 0){ printf("c e Error because clause has second watcher but it is not found in the said position.\n");exit(-1); } if (newLit < -numVars || newLit > numVars || oldLit < -numVars || oldLit > numVars){ printf("c e Error because newLit or oldLit does not seem to be a literal.\n"); exit(-1); } //We also assert that newLit is indeed in the clause. int *clsPtr,found = 0; for (clsPtr = clauseLiterals[cNum]; *clsPtr != 0; ++clsPtr){ if (*clsPtr == newLit) { found = 1; break; } } if (!found){ printf("c e Error because new watcher is not part of the clause.\n");exit(-1); } //We also assert that oldLit is indeed in the clause. found = 0; for (clsPtr = clauseLiterals[cNum]; *clsPtr != 0; ++clsPtr){ if (*clsPtr == oldLit) { found = 1; break; } } if (!found){ printf("c e Error because old watcher is not part of the clause.\n");exit(-1); } //We assert here that watches1 contains cNum at the said position. if (watches1[oldLit][2+watches1pos[cNum]] != cNum){ printf("c e Error because clause does not appear in the said watches1 position.\n");exit(-1); } } void verification_cdcl_verifyFirstWatcherReplacement_secondary(int cNum,int oldLit, int newLit){ //We assert here that oldLit is not the watcher of clause cNum anymore. We also check that cNum is not part //of the watches1 array of oldLit anymore. //Check if a change happened. if (watchedLiteral1[cNum] == oldLit){ printf("c e Error because after first watched literal replacement, the new watcher is the same as the " "old one.\n"); exit(-1); } //Check if cNum is not part of the old literals watches1 array. int found = 0, pos = 2; while (watches1[oldLit][pos] > -1){ if (watches1[oldLit][pos++] == cNum){ found = 1; break; } } if (found){ printf("c e Error because after replacement of the first watcher the clause is still in the watches1" " array of the old watched literal."); exit(-1); } //Check if cNum is part of the new literal watches1 array. found = 0; pos = 2; while (watches1[newLit][pos] > -1){ if (watches1[newLit][pos++] == cNum){ found = 1; break; } } if (!found){ printf("c e Error because after replacement of the first watcher the clause is not found in the watches1" " array of the new watcher."); exit(-1); } } void verification_cdcl_verifySecondWatcherReplacement_primary(int cNum, int oldLit,int newLit){ //We assert that cNum is indeed a valid clause. if (cNum < 0 || cNum >= numCDCLClauses){ printf("c e Error because clause number seems to be invalid.\n");exit(-1); } //We do assert here that newLit is not oldLit and that both values make sense. if (newLit == oldLit || newLit == 0 || oldLit == 0){ printf("c e Error because clause has second watcher but it is not found in the said position.\n");exit(-1); } if (newLit < -numVars || newLit > numVars || oldLit < -numVars || oldLit > numVars){ printf("c e Error because newLit or oldLit does not seem to be a literal.\n"); exit(-1); } //We also assert that newLit is indeed in the clause. int *clsPtr,found = 0; for (clsPtr = clauseLiterals[cNum]; *clsPtr != 0; ++clsPtr){ if (*clsPtr == newLit) { found = 1; break; } } if (!found){ printf("c e Error because new watcher is not part of the clause.\n");exit(-1); } //We also assert that oldLit is indeed in the clause. found = 0; for (clsPtr = clauseLiterals[cNum]; *clsPtr != 0; ++clsPtr){ if (*clsPtr == oldLit) { found = 1; break; } } if (!found){ printf("c e Error because old watcher is not part of the clause.\n");exit(-1); } //We assert here that watches2 contains cNum at the said position. if (watches2[oldLit][2+watches2pos[cNum]] != cNum){ printf("c e Error because clause does not appear in the said watches2 position.\n");exit(-1); } } void verification_cdcl_verifySecondWatcherReplacement_secondary(int cNum,int oldLit, int newLit){ //We assert here that oldLit is not the watcher of clause cNum anymore. We also check that cNum is not part //of the watches2 array of oldLit anymore. //Check if a change happened. if (watchedLiteral2[cNum] == oldLit){ printf("c e Error because after second watched literal replacement, the new watcher is the same as the " "old one.\n"); exit(-1); } //Check if cNum is not part of the old literals watches2 array. int found = 0, pos = 2; while (watches2[oldLit][pos] > -1){ if (watches2[oldLit][pos++] == cNum){ found = 1; break; } } if (found){ printf("c e Error because after replacement of the second watcher the clause is still in the watches2" "array of the old watched literal."); exit(-1); } //Check if cNum is part of the new literal watches2 array. found = 0; pos = 2; while (watches2[newLit][pos] > -1){ if (watches2[newLit][pos++] == cNum){ found = 1; break; } } if (!found){ printf("c e Error because after replacement of the second watcher the clause is not found in the watches2" " array of the new watcher."); exit(-1); } } void verification_cdcl_verifyWatcher1Adaption_case1(int cNum){ //We do assert here that the number of unassigned variables in this clause is indeed 0. if (verification_cdcl_countNumberOfUnassignedVaribales(cNum) != 0){ printf("c e Error because the conflict clause has not equal 0 unassigned variables.\n"); exit(-1); } } void verification_cdcl_verifyWatcher1Adaption_case2(int cNum){ //We do assert here that the number of unassigned variables in this clause is indeed 1. if (verification_cdcl_countNumberOfUnassignedVaribales(cNum) != 1){ printf("c e Error because clause has not equal 1 unassigned variable.\n"); exit(-1); } //We also assert that the watched literal 1 is assigned. if (tvalue[abs(watchedLiteral1[cNum])] == 2){ printf("c e Error because other watcher is unassigned too. Cannot force unit prop.\n"); exit(-1); } } void verification_cdcl_verifyWatcher1Adaption_case3(int cNum){ //We do assert here that the number of unassigned variables in this clause is indeed 0. if (verification_cdcl_countNumberOfUnassignedVaribales(cNum) != 0){ printf("c e Error because clause has not equal 0 unassigned variable.\n"); exit(-1); } //We also assert that this clause is indeed a conflict. if (verification_cdcl_countNumberOfSatsifyingLiterals(cNum) != 0){ printf("c e Error because supposed conflict has satisfying literal in it.\n"); exit(-1); } } void verification_cdcl_verifyWatcher1Adaption_case4(int cNum){ //We also assert that this clause is indeed satisfied. if (verification_cdcl_countNumberOfSatsifyingLiterals(cNum) < 1){ printf("c e Error because supposedly satisfied clause is not satisfied.\n"); cdcl_printClauseInline(cNum); exit(-1); } } void verification_cdcl_verifyWatcher2Adaption_case0(int cNum){ if (clauseLiterals[cNum][1] == 0){ printf("c e Error because of a unit clause having a second watcher.\n"); exit(-1); } } void verification_cdcl_verifyWatcher2Adaption_case1(int cNum){ //We do assert here that the number of unassigned variables in this clause is indeed 0. if (verification_cdcl_countNumberOfUnassignedVaribales(cNum) != 0){ printf("c e Error because the conflict clause has not equal 0 unassigned variables.\n"); exit(-1); } } void verification_cdcl_verifyWatcher2Adaption_case2(int cNum){ //We do assert here that the number of unassigned variables in this clause is indeed 1. if (verification_cdcl_countNumberOfUnassignedVaribales(cNum) != 1){ printf("c e Error because clause has not equal 1 unassigned variable.\n"); exit(-1); } //We also assert that the watched literal 2 is assigned. if (tvalue[abs(watchedLiteral2[cNum])] == 2){ printf("c e Error because other watcher is unassigned too. Cannot force unit prop.\n"); exit(-1); } } void verification_cdcl_verifyWatcher2Adaption_case3(int cNum){ //We do assert here that the number of unassigned variables in this clause is indeed 0. if (verification_cdcl_countNumberOfUnassignedVaribales(cNum) != 0){ printf("c e Error because clause has not equal 0 unassigned variable.\n"); exit(-1); } //We also assert that this clause is indeed a conflict. if (verification_cdcl_countNumberOfSatsifyingLiterals(cNum) != 0){ printf("c e Error because supposed conflict has satisfying literal in it.\n"); exit(-1); } } void verification_cdcl_verifyWatcher2Adaption_case4(int cNum){ //We also assert that this clause is indeed satisfied. if (verification_cdcl_countNumberOfSatsifyingLiterals(cNum) < 1){ printf("c e Error because supposedly satisfied clause is not satisfied.\n"); cdcl_printClauseInline(cNum); exit(-1); } } void verification_cdcl_verifyLearnedClauseIsUnit(){ //We assert here that the just learned clause is indeed a unit clause. if (clauseLiterals[numCDCLClauses][1] != 0){ //The newly learned clause is no unit clause. printf("c e Error because the newly learned clause is treated as unit but it is not.\n"); exit(-1); } } void verification_cdcl_verifyVariableStates(){ //Before each round (decision or conflict handling) of the CDCL, we make sure that alle the stored information //about the variables check out. We check: // - is the number of watched clauses by a literal equivalent with the watches[lit][0] information? //Add anything else that you want to check on the variables before each round here. int pos, lit, num; for (lit = -numVars; lit < numVars+1; ++lit){ pos = 2; num = 0; while (watches1[lit][pos++] > -1){ ++num; } if (watches1[lit][0] != num){ printf("c e Error because the number of watched clauses is not what watches1[lit][0] says.\n"); exit(-1); } pos = 2; num = 0; while (watches2[lit][pos++] > -1){ ++num; } if (watches2[lit][0] != num){ printf("c e Error because the number of watched clauses is not what watches2[lit][0] says.\n"); exit(-1); } } } void verification_cdcl_verifyClauseStates(){ //We will assert the state of the clauses before each round of the CDCL here. Add anything you want to check //for the clauses in each round here. int cNum; for (cNum = 0; cNum < numCDCLClauses; ++cNum){ #ifdef PREPROCESSING if (cNum < numClauses && isIgnoredClause[cNum]){ //Ignored clauses do not matter. continue; } #endif //We check that a clause is not empty. if (clauseLiterals[cNum][0] == 0){ printf("c e Error because an empty clause was detected.\n"); exit(-1); } } } #endif /* VERIFICATION_CDCL */ #endif /* HYBRID */ verification_cdcl.h0000644011311700006200000000353511530465420014723 0ustar s_ogablestudent/* * verification_cdcl.h * * Created on: 23.10.2010 * Author: Oliver Gableske * Content: This file contains all declarations to perform verifications for the CDCL component. * */ #ifndef VERIFICATION_CDCL_H_ #define VERIFICATION_CDCL_H_ #include "global.h" #ifdef HYBRID #ifdef VERIFICATION_CDCL #ifndef VERBOSE_CDCL void cdcl_printClauseInline(int); #endif /* VERBOSE_CDCL */ int verification_cdcl_countNumberOfSatsifyingLiterals(int); int verification_cdcl_countNumberOfUnassignedVaribales(int); void verification_cdcl_verifyInitCall(); void verification_cdcl_verifyMemoryAllocation(); void verification_cdcl_learnedClauseHasFirstWatcher(); void verification_cdcl_learnedClauseHasSecondWatcher(); void verification_cdcl_clauseHasOldFirstWatcher(int); void verification_cdcl_clauseHasOldScondWatcher(int); void verification_cdcl_verifyFirstWatcherReplacement_primary(int,int,int); void verification_cdcl_verifyFirstWatcherReplacement_secondary(int,int,int); void verification_cdcl_verifySecondWatcherReplacement_primary(int,int,int); void verification_cdcl_verifySecondWatcherReplacement_secondary(int,int,int); void verification_cdcl_verifyWatcher1Adaption_case1(int); void verification_cdcl_verifyWatcher1Adaption_case2(int); void verification_cdcl_verifyWatcher1Adaption_case3(int); void verification_cdcl_verifyWatcher1Adaption_case4(int); void verification_cdcl_verifyWatcher2Adaption_case0(int); void verification_cdcl_verifyWatcher2Adaption_case1(int); void verification_cdcl_verifyWatcher2Adaption_case2(int); void verification_cdcl_verifyWatcher2Adaption_case3(int); void verification_cdcl_verifyWatcher2Adaption_case4(int); void verification_cdcl_verifyLearnedClauseIsUnit(); void verification_cdcl_verifyVariableStates(); void verification_cdcl_verifyClauseStates(); #endif /* VERIFICATION_CDCL */ #endif /* HYBRID */ #endif /* VERIFICATION_CDCL_H_ */ verification_sls.c0000644011311700006200000000206111530465421014604 0ustar s_ogablestudent/* * verification_sls.c * * Created on: 23.10.2010 * Author: Oliver Gableske * Content: This file contains all methods to perform verifications for the SLS component. * */ #include "verification_sls.h" #ifdef VERIFICATION_SLS void verification_sls_verifySolution(){ register int i,satisfying,lit,j; int *ptr; #ifdef HYBRID for (i = 0; i < numCDCLClauses; i++){ #else for (i = 0; i < numOriginalClauses; i++){ #endif satisfying = 0; for (ptr = clauseLiterals[i]; (lit = *ptr) != 0; ptr++){ if ((lit > 0) == assignment[abs(lit)]) satisfying++; } if (satisfying == 0){ printf("c e Error because supposed solution fails verification:\n"); printf("c e Clause %i: ",i); for(j = 0; (lit = clauseLiterals[i][j]) != 0; j++){ #ifdef HYBRID printf("%i(%i,%i) ",lit, assignment[abs(lit)],tvalue[abs(lit)]); #else printf("%i(%i) ",lit, assignment[abs(lit)]); #endif } printf("\n"); fprintf(stderr, "Error because supposed solution fails verification.\n"); exit(-1); } } printf("c Solution verified.\n"); } #endif verification_sls.h0000644011311700006200000000065211530465421014615 0ustar s_ogablestudent/* * verification_sls.h * * Created on: 23.10.2010 * Author: Oliver Gableske * Content: This file contains all declarations to perform verifications for the SLS component. */ #ifndef VERIFICATION_SLS_H_ #define VERIFICATION_SLS_H_ #include "global.h" #ifdef VERIFICATION_SLS //FORWARD METHOD DECLARATIONS void verification_sls_verifySolution(); #endif /* VERIFICATION_SLS */ #endif /* VERIFICATION_SLS_H_ */ License.txt000644 000000012261167337436200066240ustar EagleUP - A SLS solver with Unit Propagation Copyright (C) 2011 Oliver Gableske This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. See http://www.gnu.org/licenses/ for the GPL license.