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minimizer.cpp
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minimizer.cpp
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#include <iostream>
#include <algorithm>
#include <stdlib.h>
#include <fstream>
#include <ctime>
#include <queue>
#include <sys/time.h>
#include <unordered_map>
#include <unordered_set>
#include "minisat/core/Solver.h"
#include "minisat/utils/System.h"
#include "global.h"
#include "KISSParser.h"
#include "IncSpecSeq.h"
#include "DIMACSWriter.h"
#include "MachineBuilder.h"
using std::cout;
using std::endl;
using std::vector;
using std::map;
using std::unordered_map;
using std::unordered_set;
using std::set;
using std::pair;
using std::sort;
using std::queue;
using namespace Minisat;
void printStats(Solver& solver) {
double cpu_time = cpuTime();
double mem_used = memUsedPeak();
printf("restarts : %" PRIu64"\n", solver.starts);
printf("conflicts : %-12" PRIu64" (%.0f /sec)\n", solver.conflicts , solver.conflicts /cpu_time);
printf("decisions : %-12" PRIu64" (%4.2f %% random) (%.0f /sec)\n", solver.decisions, (float)solver.rnd_decisions*100 / (float)solver.decisions, solver.decisions /cpu_time);
printf("propagations : %-12" PRIu64" (%.0f /sec)\n", solver.propagations, solver.propagations/cpu_time);
printf("conflict literals : %-12" PRIu64" (%4.2f %% deleted)\n", solver.tot_literals, (solver.max_literals - solver.tot_literals)*100 / (double)solver.max_literals);
if (mem_used != 0) printf("Memory used : %.2f MB\n", mem_used);
printf("CPU time : %g s\n", cpu_time);
}
void removeUnreachableStates(vector<vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > > >& machine, int& resetState);
void computePredecessorMap(vector<vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > > >& states, unordered_map<IncSpecSeq*,vector<int> > pred[]);
void computeIncompMatrix(vector<vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > > >& states, unordered_map<IncSpecSeq*,vector<int> > pred[], vector<bool>& incompMatrix);
vector<vector<bool> > getTransitivelyCompatibleStates(vector<vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > > >& states, vector<bool>& incompMatrix);
void splitTransitions(vector<vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > > >& states, vector<bool>& incompMatrix, vector<vector<int> >& newNextStates, vector<vector<IncSpecSeq*> >& newOutput, vector<IncSpecSeq>& inputIDToIncSpecSeq);
unordered_set<IncSpecSeq> getDisjointInputSet(vector<vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > > >& states, vector<bool>& eqClass);
void findPairwiseIncStates(vector<int>& pairwiseIncStates, vector<bool>& incompMatrix, int nStates);
int verbosity = 0;
bool firstStateReset = true;
bool noPartialSolutionInSat = false;
bool noLowerBound = false;
void usage() {
cout << "Usage: ./MeMin [Options] <input.kiss>" << endl;
cout << endl;
cout << "Options:" << endl;
cout << " -r if no reset state is specified, any state might be a reset state" << endl;
cout << " (otherwise, the first state is assumed to be the reset state)"<< endl;
cout << " -np do not include the 'partial solution' in the SAT problem" << endl;
cout << " -nl like -np, but does also not use the size of the 'partial solution'" << endl;
cout << " as a lower bound (i.e., does not need the partial solution at all)" << endl;
cout << " -v {0,1} verbosity level" << endl;
}
int main(int argc, char* argv[]) {
timeval start, end;
gettimeofday(&start, 0);
int resetState;
vector<vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > > > machine;
int numInputBits;
int numOutputBits;
for (int argI=1; argI < argc-1; argI++) {
char* arg = argv[argI];
if (strcmp(arg,"-r")==0) {
firstStateReset = false;
} else if (strcmp(arg,"-np")==0) {
noPartialSolutionInSat = true;
} else if (strcmp(arg,"-nl")==0) {
noLowerBound = true;
} else if (strcmp(arg,"-v")==0) {
argI++;
verbosity = argv[argI][0]-'0';
if (verbosity<0 || verbosity>9) {
usage();
return 1;
}
} else {
usage();
return 1;
}
}
if ((argc <= 1) || (argv[argc - 1] == NULL) || (argv[argc - 1][0] == '-')) {
usage();
return 1;
} else {
parseKISSFile(argv[argc-1], machine, resetState, numInputBits, numOutputBits);
}
gettimeofday(&end, 0);
if (verbosity>0) cout << "Parsing: "<< (end.tv_sec*1e6 + end.tv_usec) - (start.tv_sec*1e6 + start.tv_usec) << " usec" << endl;
gettimeofday(&start, 0);
if (resetState!=-1) {
removeUnreachableStates(machine, resetState);
gettimeofday(&end, 0);
if (verbosity>0) cout << "Removing unreachable states: "<< (end.tv_sec*1e6 + end.tv_usec) - (start.tv_sec*1e6 + start.tv_usec) << " usec" << endl;
gettimeofday(&start, 0);
}
int nStates = machine.size();
//predecessors for each state and input
unordered_map<IncSpecSeq*,vector<int> > pred[nStates];
computePredecessorMap(machine, pred);
gettimeofday(&end, 0);
if (verbosity>0) cout << "Computing pred map: "<< (end.tv_sec*1e6 + end.tv_usec) - (start.tv_sec*1e6 + start.tv_usec) << " usec" << endl;
gettimeofday(&start, 0);
//0 if compatible, 1 if incompatible
vector<bool> incompMatrix;
incompMatrix.resize(nStates*nStates, false);
computeIncompMatrix(machine, pred, incompMatrix);
gettimeofday(&end, 0);
if (verbosity>0) cout << "Computing IncompMatrix: "<< (end.tv_sec*1e6 + end.tv_usec) - (start.tv_sec*1e6 + start.tv_usec) << " usec" << endl;
gettimeofday(&start, 0);
vector<vector<int> > nextStatesMap(nStates);
vector<vector<IncSpecSeq*> > outputsMap(nStates);
vector<IncSpecSeq> inputIDToIncSpecSeq;
splitTransitions(machine, incompMatrix, nextStatesMap, outputsMap, inputIDToIncSpecSeq);
gettimeofday(&end, 0);
if (verbosity>0) cout << "Splitting transitions: "<< (end.tv_sec*1e6 + end.tv_usec) - (start.tv_sec*1e6 + start.tv_usec) << " usec" << endl;
gettimeofday(&start, 0);
gettimeofday(&start, 0);
vector<int> pairwiseIncStates;
if (!noLowerBound) findPairwiseIncStates(pairwiseIncStates, incompMatrix, nStates);
gettimeofday(&end, 0);
if (verbosity>0) cout << "Finding pairwise incomp states: "<< (end.tv_sec*1e6 + end.tv_usec) - (start.tv_sec*1e6 + start.tv_usec) << " usec" << endl;
gettimeofday(&start, 0);
for (int nClasses=pairwiseIncStates.size(); nClasses>=0; nClasses++) {
if (verbosity>0) cout << "Classes: " << nClasses << endl;
if (noPartialSolutionInSat) pairwiseIncStates.clear();
//if literal i is true, and literalToStateClass[i]=(s,c) then state s is in class c
vector<pair<int, int> > literalToStateClass;
timeval start2, end2;
gettimeofday(&start2, 0);
Solver S;
buildCNF(&S, literalToStateClass, nClasses, nextStatesMap, incompMatrix, pairwiseIncStates, inputIDToIncSpecSeq.size()-1);
gettimeofday(&end2, 0);
if (verbosity>0) cout << "Building CNF: "<< (end2.tv_sec*1e6 + end2.tv_usec) - (start2.tv_sec*1e6 + start2.tv_usec) << " usec" << endl;
gettimeofday(&start2, 0);
vec<Lit> dummy;
lbool ret = S.solveLimited(dummy);
gettimeofday(&end2, 0);
if (verbosity>0) cout << "Minisat: "<< (end2.tv_sec*1e6 + end2.tv_usec) - (start2.tv_sec*1e6 + start2.tv_usec) << " usec" << endl;
if (verbosity>0) cout << (ret == l_True ? "SATISFIABLE\n" : ret == l_False ? "UNSATISFIABLE\n" : "INDETERMINATE\n");
if (verbosity>1) printStats(S);
if (ret == l_True){
gettimeofday(&end, 0);
if (verbosity>0) cout << "Total time for SAT: "<< (end.tv_sec*1e6 + end.tv_usec) - (start.tv_sec*1e6 + start.tv_usec) << " usec" << endl;
gettimeofday(&start, 0);
std::vector<int> dimacsOutput;
for (int i = 0; i < S.nVars(); i++) {
if (S.model[i] != l_Undef) {
int lit = i+1;
if (S.model[i]==l_False) lit = -lit;
dimacsOutput.push_back(lit); }
}
int newResetState=-1;
vector<vector<int> > newMachineNextStatesMap(nClasses);
vector<vector<IncSpecSeq*> > newMachineOutputsMap(nClasses);
buildMachine(newMachineNextStatesMap, newMachineOutputsMap, newResetState, nClasses, dimacsOutput, literalToStateClass, nextStatesMap, outputsMap, resetState, inputIDToIncSpecSeq.size()-1);
gettimeofday(&end, 0);
if (verbosity>0) cout << "Building machine: "<< (end.tv_sec*1e6 + end.tv_usec) - (start.tv_sec*1e6 + start.tv_usec) << " usec" << endl;
gettimeofday(&start, 0);
writeKISSFile(newMachineNextStatesMap, newMachineOutputsMap, newResetState, numInputBits, numOutputBits, inputIDToIncSpecSeq, "result.kiss");
gettimeofday(&end, 0);
if (verbosity>0) cout << "Writing to KISS file: "<< (end.tv_sec*1e6 + end.tv_usec) - (start.tv_sec*1e6 + start.tv_usec) << " usec" << endl;
cout << "Result written to result.kiss" << endl;
exit(0);
}
}
exit(0);
}
void removeUnreachableStates(vector<vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > > >& machine, int& resetState) {
bool reachableStates[machine.size()];
for (unsigned int i=0; i<machine.size(); i++) reachableStates[i]=false;
reachableStates[resetState] = true;
queue<int> worklist;
worklist.push(resetState);
while (!worklist.empty()) {
int state = worklist.front();
worklist.pop();
vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > >& trans = machine[state];
for (vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > >::iterator it=trans.begin(); it != trans.end(); it++) {
int nextState = (it->second).first;
if (reachableStates[nextState]) continue;
reachableStates[nextState]=true;
worklist.push(nextState);
}
}
int stateRemapping[machine.size()];
for (unsigned int i=0; i<machine.size(); i++) {
if (reachableStates[i]) {
stateRemapping[i]=i;
continue;
}
unsigned int lastReachableState;
for (lastReachableState=machine.size()-1; lastReachableState>=0; lastReachableState--) {
if (reachableStates[lastReachableState]) break;
}
if (lastReachableState>i) {
stateRemapping[lastReachableState]=i;
machine[i]=machine[lastReachableState];
reachableStates[i]=true;
reachableStates[lastReachableState]=false;
machine.pop_back();
} else {
machine.resize(lastReachableState+1);
}
}
for (unsigned int i=0; i<machine.size(); i++) {
vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > >& trans = machine[i];
for (vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > >::iterator it=trans.begin(); it != trans.end(); it++) {
pair<int, IncSpecSeq*>& p = it->second;
p.first = stateRemapping[p.first];
}
}
resetState = stateRemapping[resetState];
}
void computePredecessorMap(vector<vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > > >& states, unordered_map<IncSpecSeq*,vector<int> > pred[]) {
for (unsigned int s=0; s<states.size(); s++) {
vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > >& tMap = states[s];
for (vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > >::iterator it=tMap.begin(); it!=tMap.end(); ++it) {
IncSpecSeq* input = it->first;
pair<int, IncSpecSeq*>& p = it->second;
int nextS = p.first;
pred[nextS][input].push_back(s);
}
}
}
void propagateIncompStates(int s1, int s2, int nStates, unordered_map<IncSpecSeq*,vector<int> > pred[], vector<bool>& incompMatrix) {
unordered_map<IncSpecSeq*,vector<int> >& pred1 = pred[s1];
unordered_map<IncSpecSeq*,vector<int> >& pred2 = pred[s2];
for (unordered_map<IncSpecSeq*,vector<int> >::iterator it1=pred1.begin(); it1!=pred1.end(); it1++) {
const IncSpecSeq& input1 = *(it1->first);
vector<int>& predStates1 = it1->second;
for (unordered_map<IncSpecSeq*,vector<int> >::iterator it2=pred2.begin(); it2!=pred2.end(); it2++) {
const IncSpecSeq& input2 = *(it2->first);
if (input1.isDisjoint(input2)) continue;
vector<int>& predStates2 = it2->second;
for (unsigned int i1 = 0; i1<predStates1.size(); i1++) {
int predS1 = predStates1[i1];
for (unsigned int i2 = 0; i2<predStates2.size(); i2++) {
int predS2 = predStates2[i2];
if (incompMatrix[ai(predS1,predS2,nStates)]) continue;
incompMatrix[ai(predS1,predS2,nStates)]=true;
incompMatrix[ai(predS2,predS1,nStates)]=true;
propagateIncompStates(predS1, predS2, nStates, pred, incompMatrix);
}
}
}
}
}
void computeIncompMatrix(vector<vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > > >& states, unordered_map<IncSpecSeq*,vector<int> > pred[], vector<bool>& incompMatrix) {
int nStates = states.size();
for (int s1=0; s1<nStates; s1++) {
vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > >& succMap1 = states[s1];
for (int s2=s1; s2<nStates; s2++) {
if (incompMatrix[ai(s1,s2,nStates)]) continue;
vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > >& succMap2 = states[s2];
for (vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > >::iterator it1=succMap1.begin(); it1!=succMap1.end(); ++it1) {
const IncSpecSeq& input1 = *(it1->first);
bool incompOutputFound = false;
for (vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > >::iterator it2=succMap2.begin(); it2!=succMap2.end(); ++it2) {
const IncSpecSeq& input2 = *(it2->first);
if (input1.isDisjoint(input2)) continue;
pair<int, IncSpecSeq*>& p1 = it1->second;
pair<int, IncSpecSeq*>& p2 = it2->second;
IncSpecSeq& o1 = *(p1.second);
IncSpecSeq& o2 = *(p2.second);
if (o1.isCompatible(o2)) continue;
incompMatrix[ai(s1,s2,nStates)]=true;
incompMatrix[ai(s2,s1,nStates)]=true;
propagateIncompStates(s1, s2, nStates, pred, incompMatrix);
incompOutputFound=true;
break;
}
if (incompOutputFound) break;
}
}
}
}
//partitions the set of states into equivalence classes, s.t. two states are in the same class if they are transitively compatible
//ret[i][s]==true iff state s is in class i
vector<vector<bool> > getTransitivelyCompatibleStates(vector<vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > > >& states, vector<bool>& incompMatrix) {
vector<vector<bool> > ret;
int nStates = states.size();
vector<bool> processedStates;
processedStates.resize(nStates, false);
for (int s=0; s<nStates; s++) {
if (processedStates[s]) continue;
processedStates[s] = true;
vector<bool> curSet;
curSet.resize(nStates, 0);
curSet[s]=true;
queue<int> worklist;
worklist.push(s);
while (!worklist.empty()) {
int curS = worklist.front();
worklist.pop();
for (int i=s; i<nStates; i++) {
if (processedStates[i]) continue;
if (incompMatrix[ai(curS,i,nStates)]) continue;
worklist.push(i);
processedStates[i] = true;
curSet[i]=true;
}
}
ret.push_back(curSet);
}
return ret;
}
//compatible states must not have transitions with overlapping inputs
void splitTransitions(vector<vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > > >& states, vector<bool>& incompMatrix, vector<vector<int> >& newNextStates, vector<vector<IncSpecSeq*> >& newOutput, vector<IncSpecSeq>& inputIDToIncSpecSeq) {
vector<vector<bool> > tcs = getTransitivelyCompatibleStates(states, incompMatrix);
vector<unordered_set<IncSpecSeq> > disjInputsForTCS(tcs.size());
unordered_map<IncSpecSeq, int> incSpecSeqToInputID;
for (unsigned int i=0; i<tcs.size(); i++) {
unordered_set<IncSpecSeq> disjInputs = getDisjointInputSet(states,tcs[i]);
disjInputsForTCS[i] = disjInputs;
for (unordered_set<IncSpecSeq>::iterator it=disjInputs.begin(); it!=disjInputs.end(); it++) {
IncSpecSeq disjInput = *it;
if (incSpecSeqToInputID.count(disjInput)>0) continue;
incSpecSeqToInputID[disjInput] = inputIDToIncSpecSeq.size();
inputIDToIncSpecSeq.push_back(disjInput);
}
}
for (unsigned int i=0; i<tcs.size(); i++) {
unordered_set<IncSpecSeq>& disjInputs = disjInputsForTCS[i];
vector<bool>& tcsi = tcs[i];
for (unsigned int curTcs=0; curTcs<states.size(); curTcs++) {
if (!tcsi[curTcs]) continue;
vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > >& curMap = states[curTcs];
vector<int>& curNextState = newNextStates[curTcs];
vector<IncSpecSeq*>& curOutput = newOutput[curTcs];
curNextState.resize(inputIDToIncSpecSeq.size());
curOutput.resize(inputIDToIncSpecSeq.size());
for (unsigned int j=0; j<inputIDToIncSpecSeq.size(); j++) {
curNextState[j]=-1;
}
for (vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > >::iterator mIt=curMap.begin(); mIt!=curMap.end(); mIt++) {
const IncSpecSeq& input = *(mIt->first);
const pair<int, IncSpecSeq*>& trans = mIt->second;
if (disjInputs.count(input)>0) {
int inputID = incSpecSeqToInputID[input];
curNextState[inputID] = trans.first;
curOutput[inputID] = trans.second;
} else {
for (unordered_set<IncSpecSeq>::iterator sIt=disjInputs.begin(); sIt!=disjInputs.end(); sIt++) {
const IncSpecSeq& disjInput = *sIt;
if (disjInput.isSubset(input)) {
int inputID = incSpecSeqToInputID[disjInput];
curNextState[inputID] = trans.first;
curOutput[inputID] = trans.second;
}
}
}
}
}
}
}
struct IncSpecSeqPtrComp {
bool operator()(const IncSpecSeq* lhs, const IncSpecSeq* rhs) const {
return (*lhs)==(*rhs);
}
};
//computes a set of non-overlapping input sequences s.t. all transitions for states in eqClass are covered
unordered_set<IncSpecSeq> getDisjointInputSet(vector<vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > > >& states, vector<bool>& eqClass) {
int nStates = states.size();
unordered_set<IncSpecSeq*, std::hash<IncSpecSeq*>, IncSpecSeqPtrComp> disjointInputs;
int curS=0;
for (; curS<nStates; curS++) {
if (eqClass[curS]) break;
}
if (curS>=nStates) return unordered_set<IncSpecSeq>();
bool nonFullySpecInputFound = false;
vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > >& firstMap = states[curS];
for (vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > >::iterator mIp=firstMap.begin(); mIp!=firstMap.end(); mIp++) {
IncSpecSeq* input = mIp->first;
if (!input->isFullySpecified()) nonFullySpecInputFound=true;
disjointInputs.insert(input);
}
unordered_set<IncSpecSeq*, std::hash<IncSpecSeq*>, IncSpecSeqPtrComp> alreadyInQueue;
queue<IncSpecSeq*> remainingInputs;
for (; curS<nStates; curS++) {
if (!eqClass[curS]) continue;
vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > >& curMap = states[curS];
for (vector<pair<IncSpecSeq*, pair<int, IncSpecSeq*> > >::iterator mIp=curMap.begin(); mIp!=curMap.end(); mIp++) {
IncSpecSeq* input = mIp->first;
if (!input->isFullySpecified()) nonFullySpecInputFound=true;
if (alreadyInQueue.count(input)==0) {
remainingInputs.push(input);
alreadyInQueue.insert(input);
}
}
}
if (!nonFullySpecInputFound) {
while (!remainingInputs.empty()) {
IncSpecSeq* curInput = remainingInputs.front();
remainingInputs.pop();
disjointInputs.insert(curInput);
}
unordered_set<IncSpecSeq> ret;
for (unordered_set<IncSpecSeq*, std::hash<IncSpecSeq*>, IncSpecSeqPtrComp>::iterator it=disjointInputs.begin(); it!=disjointInputs.end(); it++) {
ret.insert(**it);
}
return ret;
}
while (!remainingInputs.empty()) {
IncSpecSeq* curInput = remainingInputs.front();
remainingInputs.pop();
if (disjointInputs.count(curInput)>0) continue;
int intersectingInputFound=false;
for (unordered_set<IncSpecSeq*>::iterator dIt=disjointInputs.begin(); dIt != disjointInputs.end(); dIt++) {
IncSpecSeq* disjInput = *dIt;
if (!disjInput->isDisjoint(*curInput)) {
intersectingInputFound = true;
if (curInput->isSubset(*disjInput)) {
IncSpecSeq inters = disjInput->intersect(*curInput);
vector<IncSpecSeq> diff = disjInput->diff(*curInput);
disjointInputs.erase(disjInput);
disjointInputs.insert(new IncSpecSeq(inters));
for (unsigned int i=0; i<diff.size(); i++) {
disjointInputs.insert(new IncSpecSeq(diff[i]));
}
} else if (disjInput->isSubset(*curInput)) {
vector<IncSpecSeq> diff = curInput->diff(*disjInput);
for (unsigned int i=0; i<diff.size(); i++) {
remainingInputs.push(new IncSpecSeq(diff[i]));
}
} else {
IncSpecSeq inters = disjInput->intersect(*curInput);
vector<IncSpecSeq> diff = disjInput->diff(*curInput);
disjointInputs.insert(new IncSpecSeq(inters));
for (unsigned int i=0; i<diff.size(); i++) {
disjointInputs.insert(new IncSpecSeq(diff[i]));
}
vector<IncSpecSeq> diff2 = curInput->diff(*disjInput);
for (unsigned int i=0; i<diff2.size(); i++) {
remainingInputs.push(new IncSpecSeq(diff2[i]));
}
disjointInputs.erase(disjInput);
}
break;
}
}
if (!intersectingInputFound) {
disjointInputs.insert(curInput);
}
}
unordered_set<IncSpecSeq> ret;
for (unordered_set<IncSpecSeq*, std::hash<IncSpecSeq*>, IncSpecSeqPtrComp>::iterator it=disjointInputs.begin(); it!=disjointInputs.end(); it++) {
ret.insert(**it);
}
return ret;
}
class incStateComp {
int* nIncomp;
public:
incStateComp(vector<bool>& incompMatrix, int nStates) {
nIncomp = new int[nStates];
for (int i=0; i<nStates; i++) {
int c=0;
for (int j=0; j<nStates; j++) {
if (incompMatrix[ai(i,j,nStates)]) c++;
}
nIncomp[i]=c;
}
}
bool operator() (int i,int j) {
return (nIncomp[i]>nIncomp[j]);
}
};
void findPairwiseIncStates(vector<int>& pairwiseIncStates, vector<bool>& incompMatrix, int nStates) {
incStateComp comp(incompMatrix, nStates);
vector<int> states;
for (int i=0; i<nStates; i++) {
states.push_back(i);
}
sort(states.begin(), states.end(), comp);
for (int i=0; i<nStates; i++) {
int s1 = states[i];
bool compStateFound = false;
for (unsigned int j=0; j<pairwiseIncStates.size(); j++) {
int s2 = pairwiseIncStates[j];
if (!incompMatrix[ai(s1,s2,nStates)]) {
compStateFound = true;
break;
}
}
if (compStateFound) continue;
pairwiseIncStates.push_back(s1);
}
}