631 lines
18 KiB
C
631 lines
18 KiB
C
#include "csflocref.h"
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/*
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============================================================================
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Name : csfloc.c
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Author : Gábor Kusper
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Version : 1.0
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Copyright : Gábor Kusper
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Description : CSFLOC in C, Ansi-style
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============================================================================
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*/
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#include <stdlib.h>
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#include <string.h>
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#include <time.h>
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char* fileName;
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int doSorting = 1;
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int doIndexing = 1; // can be true only if doSorting is also true
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int addLongTailClauses = 0; // can be greater than 0 only if doIndexing is true
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int howManyClausesAddMaximumPerClauses = 0;
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unsigned int MAXINTINDEX;
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unsigned int MAXBITINDEX;
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unsigned int MAXVALUE;
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unsigned int* counter;
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unsigned int* clauses;
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int* numxsAtEnd;
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int* indexClausesByNumxsAtEnd;
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int numOfClauses;
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int numOfVariables;
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int lentghOfBitArray;
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void printBitArray(unsigned int* toPrint)
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{
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int i;
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for(i = numOfVariables-1; i>=0; i--)
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{
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int intIndex = i / (sizeof(int)*8);
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int bitIndex = i % (sizeof(int)*8);
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int mask = 1 << bitIndex;
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if((toPrint[intIndex] & mask) > 0) printf("%d ", numOfVariables-i);
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else printf("-%d ", numOfVariables-i);
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}
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printf("0 \n");
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}
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void printClause(int clauseIndex)
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{
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printf("clauseIndex:%d\n",clauseIndex);
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printf("numxsAtEnd[clauseIndex]:%d\n",numxsAtEnd[clauseIndex]);
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int index = clauseIndex * lentghOfBitArray * 2;
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int i;
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for(i = numOfVariables-1; i>=0; i--)
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{
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int intIndex = i / (sizeof(int)*8);
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int bitIndex = i % (sizeof(int)*8);
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int mask = 1 << bitIndex;
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if((clauses[index + intIndex*2] & mask) > 0) printf("%d ", numOfVariables-i);
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else printf("-%d ", numOfVariables-i);
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}
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printf("0 \n");
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for(i = numOfVariables-1; i>=0; i--)
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{
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int intIndex = i / (sizeof(int)*8);
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int bitIndex = i % (sizeof(int)*8);
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int mask = 1 << bitIndex;
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if((clauses[index + intIndex*2 + 1] & mask) > 0) printf("%d ", numOfVariables-i);
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else printf("-%d ", numOfVariables-i);
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}
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printf("0 \n");
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}
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void printClauses()
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{
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int clauseIndex;
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for(clauseIndex=0; clauseIndex < numOfClauses; clauseIndex++)
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{
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printClause(clauseIndex);
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}
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}
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// coin: http://graphics.stanford.edu/~seander/bithacks.html#ZerosOnRightBinSearch
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int countZeroBitsOnTheRight(unsigned int v)
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{
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int c;
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// NOTE: if 0 == v, then c = 31.
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if (v & 0x1)
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{
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// special case for odd v (assumed to happen half of the time)
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c = 0;
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}
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else
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{
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c = 1;
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if ((v & 0xffff) == 0)
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{
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v >>= 16;
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c += 16;
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}
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if ((v & 0xff) == 0)
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{
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v >>= 8;
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c += 8;
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}
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if ((v & 0xf) == 0)
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{
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v >>= 4;
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c += 4;
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}
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if ((v & 0x3) == 0)
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{
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v >>= 2;
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c += 2;
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}
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c -= v & 0x1;
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}
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return c;
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}
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int countZeroBitsOnTheRightInBitArray(int clauseIndex)
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{
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int countZeroBits = 0;
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int index = clauseIndex * lentghOfBitArray * 2;
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int intIndex;
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for(intIndex=0; intIndex<lentghOfBitArray; intIndex++)
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{
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if(clauses[index + intIndex*2]!=0) break;
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countZeroBits += sizeof(unsigned int)*8;
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}
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if (intIndex == lentghOfBitArray) return numOfVariables-1;
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countZeroBits += countZeroBitsOnTheRight(clauses[index + intIndex*2]);
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return countZeroBits;
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}
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int countZeroBitsOnTheRightInBitArrayOldOne(unsigned int* bits)
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{
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int countZeroBits = 0;
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int intIndex ;
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for(intIndex=0; intIndex<lentghOfBitArray; intIndex++)
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{
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if(bits[intIndex]!=0) break;
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countZeroBits += sizeof(unsigned int)*8;
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}
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if (intIndex == lentghOfBitArray) return numOfVariables-1;
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countZeroBits += countZeroBitsOnTheRight(bits[intIndex]);
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return countZeroBits;
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}
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void resolution(int clauseIndexC, int clauseIndexA, int clauseIndexB, int intIndex, int bitIndex)
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{
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//printf("Start of Resolution\n");
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//printf("intIndex: %d\n", intIndex);
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//printf("bitIndex: %d\n", bitIndex);
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//printClause(clauseIndexA);
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//printClause(clauseIndexB);
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numxsAtEnd[clauseIndexC] = -1;
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int indexA = clauseIndexA * lentghOfBitArray * 2;
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int indexB = clauseIndexB * lentghOfBitArray * 2;
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if ((clauses[indexA + intIndex*2 +1] & 1 << bitIndex) == (clauses[indexB + intIndex*2 +1] & 1 << bitIndex)) return;
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int i;
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for(i=0; i<lentghOfBitArray; i++)
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{
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unsigned int tesztA, tesztB, tesztMask;
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tesztMask = clauses[indexA + i*2] & clauses[indexB + i*2];
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tesztA = clauses[indexA + i*2 + 1] & tesztMask;
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tesztB = clauses[indexB + i*2 + 1] & tesztMask;
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if (i==intIndex) { tesztA |= 1<<bitIndex; tesztB |= 1<<bitIndex; }
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if (tesztA != tesztB) return;
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}
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int indexC = clauseIndexC * lentghOfBitArray * 2;
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for(i=0; i<lentghOfBitArray; i++)
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{
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clauses[indexC + i*2] = clauses[indexA + i*2] | clauses[indexB + i*2];
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clauses[indexC + i*2 + 1] = clauses[indexA + i*2 + 1] | clauses[indexB + i*2 + 1];
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}
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clauses[indexC + intIndex*2] &= ~(1<<bitIndex);
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clauses[indexC + intIndex*2 + 1] &= ~(1<<bitIndex);
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numxsAtEnd[clauseIndexC] = countZeroBitsOnTheRightInBitArray(clauseIndexC);
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//printf("End of Resolution\n");
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//printClause(clauseIndexA);
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//printClause(clauseIndexB);
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//printClause(clauseIndexC);
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}
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void readDIMACScsfloc(char* fileName) {
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char c[1000];
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FILE *fptr;
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if ((fptr=fopen(fileName,"r"))==NULL)
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{
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printf("Error! opening file");
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exit(1);
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}
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int clauseIndex = 0;
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while (fgets(c,1000, fptr)!=NULL) {
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if (c[0]=='c' || c[0]=='%' || c[0]=='0' || c[0]=='\n') continue;
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if (c[0]=='p'){
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char* token = strtok(c, " ");
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token = strtok(NULL, " ");
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token = strtok(NULL, " ");
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numOfVariables = atoi(token);
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MAXINTINDEX = numOfVariables/(sizeof(int)*8);
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MAXBITINDEX = numOfVariables%(sizeof(int)*8);
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MAXVALUE = 1 << MAXBITINDEX;
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lentghOfBitArray = numOfVariables/(sizeof(int)*8)+1;
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token = strtok(NULL, " ");
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numOfClauses = atoi(token);
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numxsAtEnd = malloc(sizeof(int) * (numOfClauses+addLongTailClauses));
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clauses = malloc(sizeof(int) * (numOfClauses+addLongTailClauses) * lentghOfBitArray * 2);
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indexClausesByNumxsAtEnd = malloc(sizeof(int) * numOfVariables);
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int i;
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for(i=0; i<numOfVariables; i++)
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{
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indexClausesByNumxsAtEnd[i] = 0;
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}
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continue;
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}
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int index = clauseIndex * lentghOfBitArray * 2;
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int i;
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for(i=0; i<lentghOfBitArray; i++)
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{
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clauses[index + i*2] = 0;
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clauses[index + i*2 +1] = 0;
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}
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int maxLiteral = 0;
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char* token = strtok(c, " ");
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while (token) {
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int literal = atoi(token);
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token = strtok(NULL, " ");
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if (literal == 0) continue;
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int literalIndex = numOfVariables - abs(literal);
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int intIndex = literalIndex / (sizeof(int)*8);
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int bitIndex = literalIndex % (sizeof(int)*8);
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unsigned int setMask = 1 << bitIndex;
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clauses[index + intIndex * 2] |= setMask;
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if (literal > 0) clauses[index + intIndex * 2 +1] |= setMask;
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if (abs(literal) > maxLiteral) maxLiteral = abs(literal);
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}
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numxsAtEnd[clauseIndex] = numOfVariables - maxLiteral;
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clauseIndex++;
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if (clauseIndex == numOfClauses) break;
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}
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fclose(fptr);
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/*
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for (uint i = 0; i < numOfClauses; ++i) {
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printf("%u ", numxsAtEnd[i]);
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}
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printf("\n");
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printf("numxsAtEnd\n");
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*/
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}
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void sortClausesByNumxsAtEnd()
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{
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//printf("Before sorting:\n");
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//printClauses();
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int i;
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for(i=1; i<numOfClauses; i++)
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{
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int clauseIndex;
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for(clauseIndex=0; clauseIndex<numOfClauses-i; clauseIndex++)
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{
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if (numxsAtEnd[clauseIndex]<numxsAtEnd[clauseIndex+1])
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{
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unsigned int temp = numxsAtEnd[clauseIndex];
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numxsAtEnd[clauseIndex] = numxsAtEnd[clauseIndex+1];
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numxsAtEnd[clauseIndex+1] = temp;
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int indexA = clauseIndex * lentghOfBitArray * 2;
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int indexB = (clauseIndex+1) * lentghOfBitArray * 2;
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int relIndex;
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for(relIndex=0; relIndex<lentghOfBitArray*2; relIndex++)
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{
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temp = clauses[indexA+relIndex];
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clauses[indexA+relIndex] = clauses[indexB+relIndex];
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clauses[indexB+relIndex] = temp;
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}
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}
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}
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}
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//printf("After sorting:\n");
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//printClauses();
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}
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void createIndexClausesByNumxsAtEnd()
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{
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int i;
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int lastValue = 0;
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for(i=numOfClauses-1; i>=0; i--)
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{
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if (numxsAtEnd[i] > lastValue)
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{
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while(lastValue != numxsAtEnd[i])
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{
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indexClausesByNumxsAtEnd[lastValue] = i+1;
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lastValue++;
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}
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}
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}
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// it might be, that we over index if there is no clause with numxAtEnd == 0
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// this part corrects this if needed
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int correctioningIndex = 0;
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while (indexClausesByNumxsAtEnd[correctioningIndex] == numOfClauses)
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{
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correctioningIndex++;
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}
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if (correctioningIndex!=0)
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{
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int goodValue = indexClausesByNumxsAtEnd[correctioningIndex];
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do
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{
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correctioningIndex--;
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indexClausesByNumxsAtEnd[correctioningIndex] = goodValue;
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}
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while(correctioningIndex!=0);
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}
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}
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void addClausesByResolution()
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{
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int numberOfNewClauses = 0;
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int numOfZerosAtEnd = 0;
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while (numberOfNewClauses<addLongTailClauses) // While adding clauses
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{
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int clauseIndexA= numOfClauses-1;
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if(numOfZerosAtEnd!=0)
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{
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clauseIndexA = indexClausesByNumxsAtEnd[numOfZerosAtEnd-1]-1;
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}
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for( ; clauseIndexA>=indexClausesByNumxsAtEnd[numOfZerosAtEnd]; clauseIndexA--)
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{
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int clauseIndexB;
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int newClausesPerClause = 0;
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for(clauseIndexB=clauseIndexA-1; clauseIndexB>=indexClausesByNumxsAtEnd[numOfZerosAtEnd]; clauseIndexB--)
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{
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resolution(numOfClauses+numberOfNewClauses, clauseIndexA, clauseIndexB,
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numOfZerosAtEnd/(sizeof(unsigned int)*8),
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numOfZerosAtEnd%(sizeof(unsigned int)*8));
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if (numxsAtEnd[numOfClauses+numberOfNewClauses] == -1) continue;
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//printf("numOfZerosAtEnd: %d\n", numOfZerosAtEnd);
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//printf("numberOfNewClauses: %d\n", numberOfNewClauses);
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//printf("numxsAtEnd[numOfClauses+numberOfNewClauses]: %d\n", numxsAtEnd[numOfClauses+numberOfNewClauses]);
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numberOfNewClauses++;
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newClausesPerClause++;
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if (newClausesPerClause==howManyClausesAddMaximumPerClauses) break;
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if (numberOfNewClauses==addLongTailClauses) break;
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}
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if (numberOfNewClauses==addLongTailClauses) break;
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// +1 m?lys?g eleje
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int numOfZerosAtEnd2 = numxsAtEnd[numOfClauses+numberOfNewClauses-1];
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int clauseIndexC = numOfClauses+numberOfNewClauses-1;
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int clauseIndexD;
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for(clauseIndexD=indexClausesByNumxsAtEnd[numOfZerosAtEnd2-1]-1;
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clauseIndexD>=indexClausesByNumxsAtEnd[numOfZerosAtEnd2]; clauseIndexD--)
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{
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//printf("before resolution in +1 depth\n");
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//printf("numxsAtEnd[clauseIndexC]: %d\n", numxsAtEnd[clauseIndexC]);
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//printf("numxsAtEnd[clauseIndexD]: %d\n", numxsAtEnd[clauseIndexD]);
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resolution(numOfClauses+numberOfNewClauses, clauseIndexC, clauseIndexD,
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numOfZerosAtEnd2/(sizeof(unsigned int)*8),
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numOfZerosAtEnd2%(sizeof(unsigned int)*8));
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if (numxsAtEnd[numOfClauses+numberOfNewClauses] == -1) continue;
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//printf("after resolution in +1 depth\n");
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//printf("numOfZerosAtEnd2: %d\n", numOfZerosAtEnd2);
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//printf("numberOfNewClauses: %d\n", numberOfNewClauses);
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//printf("numxsAtEnd[numOfClauses+numberOfNewClauses]: %d\n", numxsAtEnd[numOfClauses+numberOfNewClauses]);
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numberOfNewClauses++;
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newClausesPerClause++;
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if (newClausesPerClause==howManyClausesAddMaximumPerClauses) break;
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if (numberOfNewClauses==addLongTailClauses) break;
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}
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if (newClausesPerClause==howManyClausesAddMaximumPerClauses) break;
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if (numberOfNewClauses==addLongTailClauses) break;
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if (numberOfNewClauses==addLongTailClauses) break;
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//+1 m?lys?g v?ge
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}
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numOfZerosAtEnd++;
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if (numOfZerosAtEnd == numOfVariables) break;
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}
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int i;
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for(i=numOfClauses; i<numOfClauses+numberOfNewClauses; i++)
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{
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int clauseIndex;
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for(clauseIndex=i-1; clauseIndex>=0; clauseIndex--)
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{
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if (numxsAtEnd[clauseIndex]<numxsAtEnd[clauseIndex+1])
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{
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unsigned int temp = numxsAtEnd[clauseIndex];
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numxsAtEnd[clauseIndex] = numxsAtEnd[clauseIndex+1];
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numxsAtEnd[clauseIndex+1] = temp;
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int indexA = clauseIndex * lentghOfBitArray * 2;
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int indexB = (clauseIndex+1) * lentghOfBitArray * 2;
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int relIndex;
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for(relIndex=0; relIndex<lentghOfBitArray*2; relIndex++)
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{
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temp = clauses[indexA+relIndex];
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clauses[indexA+relIndex] = clauses[indexB+relIndex];
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clauses[indexB+relIndex] = temp;
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}
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}
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}
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}
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numOfClauses+=numberOfNewClauses;
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createIndexClausesByNumxsAtEnd();
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}
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void CCCSolver(FILE* iofile)
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{
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counter = malloc(sizeof(int)*lentghOfBitArray);
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int counterArrayIndex;
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for(counterArrayIndex=0; counterArrayIndex<lentghOfBitArray; counterArrayIndex++)
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{
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counter[counterArrayIndex] = 0;
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}
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int changed = 1;
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while(changed)
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{
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changed = 0;
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int maxNumx = -1;
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int clauseIndex = 0;
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if (doIndexing)
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{
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int numOfZerosAtEnd = countZeroBitsOnTheRightInBitArrayOldOne(counter);
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clauseIndex=indexClausesByNumxsAtEnd[numOfZerosAtEnd];
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fprintf(iofile,"z: %d %d\n", numOfZerosAtEnd, clauseIndex);
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}
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while(clauseIndex<numOfClauses)
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{
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int subsumed = 1;
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int intIndex = 0;
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int index = clauseIndex * lentghOfBitArray * 2;
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for(intIndex=0; intIndex<lentghOfBitArray; intIndex++)
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{
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if ((counter[intIndex] & clauses[index]) != (clauses[index+1] & clauses[index]))
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{
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subsumed = 0;
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break;
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}
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index+=2;
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}
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//printf("Subsumed: %d\n", subsumed);
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if (subsumed)
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{
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if (numxsAtEnd[clauseIndex]>maxNumx) maxNumx = numxsAtEnd[clauseIndex];
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// printf("s %u %u\n", clauseIndex, numxsAtEnd[clauseIndex]);
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if (doSorting) {
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break;
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}
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}
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clauseIndex++;
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}
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if(maxNumx >= 0)
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{
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fprintf(iofile, "j: %d\n",maxNumx);
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int intIndex = maxNumx / (sizeof(int)*8);
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int bitIndex = maxNumx % (sizeof(int)*8);
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unsigned int oldCounter = counter[intIndex];
|
|
//printf("Counter old = %d : %d\n", intIndex, oldCounter);
|
|
|
|
counter[intIndex] += 1 << bitIndex;
|
|
//printf("Counter new = %d : %u\n\n", intIndex, counter.array[intIndex]);
|
|
|
|
// add carry
|
|
while(oldCounter > counter[intIndex]) {
|
|
//printf("add carry\n");
|
|
//printf("num of clauses:%d\n",numOfClauses);
|
|
//printf("i = %d\n", i);
|
|
//printf("Counter old = %d : %u\n", intIndex, oldCounter);
|
|
//printf("bitIndex = %d ; 1 << bitIndex = %d\n", bitIndex, 1 << bitIndex);
|
|
//printf("Counter new = %d : %u\n", intIndex, counter.array[intIndex]);
|
|
intIndex++;
|
|
oldCounter = counter[intIndex];
|
|
//printf("Counter old = %d : %u\n", intIndex, oldCounter);
|
|
counter[intIndex]++; // carry added here
|
|
//printf("Counter new = %d : %u\n\n", intIndex, counter[intIndex]);
|
|
}
|
|
|
|
if (counter[lentghOfBitArray-1] >= MAXVALUE) return;
|
|
changed = 1;
|
|
}
|
|
|
|
}
|
|
|
|
int i;
|
|
for (i=0; i<lentghOfBitArray; i++) {
|
|
counter[i] = ~counter[i];
|
|
}
|
|
counter[lentghOfBitArray-1] &= (MAXVALUE-1);
|
|
}
|
|
|
|
void printHelp() {
|
|
printf("Count Clear Clause SAT Solver v2.0\n");
|
|
printf("\tA SAT solver based on the CCC algorithm.\n");
|
|
printf("\tDeveloped by Gabor Kusper, 2015.\n");
|
|
printf("USAGE:\n");
|
|
printf("\tcsfloc [-help] -input=<inputfile.cnf>\n");
|
|
printf("\t\t<inputfile.cnf> is a file name, it is the SAT problem to be solved, "
|
|
"it should be in DIMACS format.\n");
|
|
printf("\t\tOUTPUT is written to standard output.\n");
|
|
printf("OPTIONS:\n");
|
|
printf("\t-help\tDisplays this help message.\n");
|
|
printf("\t-dosort\tTurns on clause sorting.\n");
|
|
printf("\t-donotsort\tTurns off clause sorting.\n");
|
|
printf("\t-doindexing\tTurns on clause indexing, and also forces clause sorting to be switched on.\n");
|
|
printf("\t-donotindexing\tTurns off clause indexing.\n");
|
|
printf("\t-addLongTailClauses=N\tAllows to add long tail clauses, ");
|
|
printf("max N clauses are allowed, if N is 0 then it switches off long tail clause adding. ");
|
|
printf("If N is greater than 0 then it forces clause ordering and indexing.\n");
|
|
printf("\t-addLongTailClausesPerClause=M\tAllows to add maximum M long tail clauses per each input clause, ");
|
|
printf("if M is 0 then it switches off long tail clause adding, i.e., it sets N to be 0. ");
|
|
printf("It has any effect if and only if long tail clause adding is switched on, ");
|
|
printf("i.e., N and M are not 0.\n");
|
|
printf("THE DEFAULT SETTINGS ARE:\n");
|
|
printf("Clause indexing is turned on, clause sorting is turned on, ");
|
|
printf("1000 long tail clauses are allowed, 100 per input clauses, i.e., N = 1000, and M = 100.\n");
|
|
printf("EXAMPLE 1:\n");
|
|
printf("\tcsfloc -input=hole6.cnf\n");
|
|
printf("\tReads and solves the SAT problem represented by hole6.cnf. The solution is written to the standard output.\n");
|
|
printf("EXAMPLE 2:\n");
|
|
printf("\tcsfloc -input=uf50-01.cnf -dosort -doindex -addLongTailClauses=1000 -addLongTailClausesPerClause=100\n");
|
|
printf("\tReads and solves the SAT problem represented by uf50-01.cnf. ");
|
|
printf("Clause sorting is switched on. ");
|
|
printf("Clause indexing is switched on. ");
|
|
printf("Adding long tail clauses is switch on. Maximum 1000 new clauses are created, maximum 100 per input clauses. ");
|
|
printf("The solution is written to the standard output.\n");
|
|
}
|
|
|
|
// read the "value" of a command line argument, where the format of the arguments is <name>=<value>
|
|
char* getCommandLineArgValue(char* arg) {
|
|
char* s = strchr(arg, '=');
|
|
|
|
if (!s) return NULL;
|
|
|
|
// close the "name" of the argument, as a string
|
|
*s = '\0';
|
|
|
|
// return the "value" of the argument
|
|
return s + 1;
|
|
}
|
|
|
|
// process all the command line argument
|
|
int processCommandLineArgs(int argc, char** argv) {
|
|
int i=0;
|
|
int numberOfSetMandatoryOptions=1;
|
|
return numberOfSetMandatoryOptions == 1;
|
|
}
|
|
|
|
void runcsfloc(char* path, FILE* iofile) {
|
|
|
|
long startTime = clock();
|
|
//printf("phase 0\n");
|
|
readDIMACScsfloc(path);
|
|
//printf("phase 1\n");
|
|
// printClauses();
|
|
if (doSorting) {
|
|
sortClausesByNumxsAtEnd();
|
|
}
|
|
//printf("phase 2\n");
|
|
// printClauses();
|
|
if (doIndexing) createIndexClausesByNumxsAtEnd();
|
|
//printf("phase 3\n");
|
|
if (addLongTailClauses>0) {
|
|
addClausesByResolution();
|
|
printf("Please don't do this\n");
|
|
}
|
|
|
|
|
|
CCCSolver(iofile);
|
|
|
|
long endTime = clock();
|
|
|
|
/*
|
|
if (counter[lentghOfBitArray-1] >= MAXVALUE) printf("0\n");
|
|
else
|
|
{
|
|
printf("1\n");
|
|
}
|
|
*/
|
|
|
|
|
|
|
|
free(numxsAtEnd);
|
|
free(counter);
|
|
free(clauses);
|
|
free(indexClausesByNumxsAtEnd);
|
|
|
|
|
|
}
|