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#include "polynomial.h"
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#include "buchberger.h"
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#include "reversesearch.h"
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#include "ep_standard.h"
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#include "gfanapplication.h"
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class GroupFacetBinomialsApplication : public GFanApplication
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SimpleOption optionLexicographic;
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SimpleOption optionReadTwoSets;
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SimpleOption optionNotOnlyFacets;
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FieldOption theFieldOption;
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bool includeInDefaultInstallation()
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const char *helpText()
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return "This program takes a list of reduced Groebner bases for a binomial ideal and outputs the facet binomials grouped by hyperplane\n";
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GroupFacetBinomialsApplication():
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optionNotOnlyFacets("-a","group all binomials - not only facets\n"),
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optionLexicographic("-l","order output polynomials with respect to lexicographic order\n"),
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optionReadTwoSets("-2","read two polynomial lists instead of one\n")
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return "_groupfacetbinomials";
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IntegerVector getVector(const Polynomial &p)
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IntegerVector markedExponent=p.getMarked().m.exponent;
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for(TermMap::const_iterator i=p.terms.begin();i!=p.terms.end();i++)
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IntegerVector dif=markedExponent-i->first.exponent;
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if(!dif.isZero())return dif;
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return markedExponent;
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bool dependencyCheck(const Polynomial &p, const Polynomial &q)
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return dependent(getVector(p),getVector(q));
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IntegerVectorList extremeRays(IntegerVectorList const &normals)
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IntegerVectorList extreme;
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for(IntegerVectorList::const_iterator i=normals.begin();i!=normals.end();i++)
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if(isFacet(normals,i))extreme.push_back(*i);
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void process(FileParser &P, PolynomialSetList &s)
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PolynomialSetList l=P.parsePolynomialSetListWithRing();
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for(PolynomialSetList::const_iterator i=l.begin();i!=l.end();i++)
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IntegerVectorList normals=wallInequalities(*i);
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IntegerVectorList extreme=extremeRays(normals);
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if(optionNotOnlyFacets.getValue())extreme=normals;
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for(PolynomialSet::const_iterator j=i->begin();j!=i->end();j++)
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IntegerVectorList::const_iterator m;
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for(m=extreme.begin();m!=extreme.end();m++)
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if(dependent(getVector(*j),*m))break;
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if(optionLexicographic.getValue())
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dummy.mark(LexicographicTermOrder());
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dummy.scaleMarkedCoefficientToOne();
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PolynomialSetList::iterator k;
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for(k=s.begin();k!=s.end();k++)
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if(dependencyCheck(*(k->begin()),dummy))break;
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PolynomialSet q(j->getRing());
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q.unionPolynomial(dummy);
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k->unionPolynomial(dummy);
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if(optionReadTwoSets.getValue())process(P,s);
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AsciiPrinter(Stdout).printPolynomialSetList(s);
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static GroupFacetBinomialsApplication theApplication;