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#include "tropical.h"
#include "vektor.h"
#include "lp.h"
#include "wallideal.h"
#include "printer.h"
#include "buchberger.h"
#include "division.h"
bool isFullColored(IntegerVectorList const &inequalityColors, IntegerVector const &v)
{
assert(inequalityColors.size()==v.size());
int nColors=inequalityColors.begin()->size();
for(int i=0;i<nColors;i++)
{
bool colored=false;
int j=0;
for(IntegerVectorList::const_iterator J=inequalityColors.begin();J!=inequalityColors.end();J++)
{
if(v[j])
{
if((*J)[i])colored=true;
}
j++;
}
if(!colored)return false;
}
return true;
}
static bool increase(IntegerVector &v)
{
int i=0;
while(i<v.size() && v[i]==1)
{
v[i]=0;
i++;
}
if(i==v.size())return false;
v[i]=1;
return true;
}
static bool increaseSkip(IntegerVector &v)
{
int i=0;
while(i<v.size() && v[i]==0)
{
i++;
}
if(i==v.size())return false;
while(i<v.size() && v[i]==1)
{
v[i]=0;
i++;
}
if(i==v.size())return false;
v[i]=1;
return true;
}
PolynomialSetList fullColoredIdeals(PolynomialSet const &g, bool skipColorTest)
{
// by computing the cone faces in the most stupid way
PolynomialSetList ret;
IntegerVectorList inequalities=wallInequalities(g);
{
IntegerVectorList normals=wallRemoveScaledInequalities(inequalities);
IntegerVectorList facets;
for(IntegerVectorList::const_iterator i=normals.begin();i!=normals.end();i++)
//if(wallContainsPositiveVector(*i))
if(isFacet(normals,i))
{
facets.push_back(*i);
}
inequalities=facets;
}
fprintf(Stderr,"INEQUALITIES\n");
AsciiPrinter(Stderr).printVectorList(inequalities);
assert(!inequalities.empty());
IntegerVectorList inequalityColors;
for(IntegerVectorList::const_iterator i=inequalities.begin();i!=inequalities.end();i++)
{
IntegerVector colors(g.size());
int j=0;
for(PolynomialSet::const_iterator J=g.begin();J!=g.end();J++)
{
PolynomialSet temp(g.getRing());
temp.push_back(*J);
IntegerVectorList tempInequalities=wallInequalities(temp);
bool colored=false;
for(IntegerVectorList::const_iterator k=tempInequalities.begin();k!=tempInequalities.end();k++)
{
if(dependent(*k,*i))
{
colored=true;
break;
}
}
colors[j]=colored;
j++;
}
// AsciiPrinter(Stderr).printVector(colors);
inequalityColors.push_back(colors);
}
// AsciiPrinter(Stderr).printVectorList(inequalityColors);
IntegerVector equalitySet(inequalities.size());
bool skip;
do
{
AsciiPrinter(Stderr).printVector(equalitySet);fprintf(Stderr,"\n");
skip=false;
if(skipColorTest || isFullColored(inequalityColors,equalitySet))
{
if(hasInteriorPoint(inequalities,true,&equalitySet))
{
fprintf(Stderr,"Adding: ");
AsciiPrinter(Stderr).printVector(equalitySet);
IntegerVectorList es;
int i=0;
for(IntegerVectorList::const_iterator I=inequalities.begin();I!=inequalities.end();I++)
{
if(equalitySet[i])es.push_back(*I);
i++;
}
PolynomialSet w=lowerDimensionalWallIdeal(g,es);
//AsciiPrinter(Stderr).printPolynomialSet(w);
ret.push_back(w);
}
else
skip=true;
}
}
while(increase(equalitySet));
// while(skip ? increaseSkip(equalitySet) : increase(equalitySet));
return ret;
}
/*
Computes a monomial in the ideal. The monomial will have variables x_m...x_n-1
Recursive. The monomial is assumed to exist.
The ideal is assumed to be homogeneous
*/
Term computeTermInIdeal(PolynomialSet const &ideal, int m)
{
assert(!ideal.empty());
int n=ideal.begin()->numberOfVariablesInRing();
// fprintf(Stderr,"computTermInIdeal(%i,%i)\n",m,n);
// AsciiPrinter(Stderr).printPolynomialSet(ideal);
if(m>=n)
{
Polynomial p=*ideal.begin();
assert(!p.isZero());
p.mark(LexicographicTermOrder());
Term t=p.getMarked();
t.m.exponent=IntegerVector(n);
//fprintf(Stderr,"returning\n");
return t;
}
PolynomialSet g=ideal;
buchberger(&g,ReverseLexicographicTermOrder(m+1)); //is this the right order?
//fprintf(Stderr,"GB:\n");
//AsciiPrinter(Stderr).printPolynomialSet(g);
PolynomialSet g2=g;
for(PolynomialSet::iterator j=g.begin();j!=g.end();j++)
j->saturate(m);
//AsciiPrinter(Stderr).printPolynomialSet(g);
buchberger(&g,ReverseLexicographicTermOrder(m)); //is this the right order?
//AsciiPrinter(Stderr).printPolynomialSet(g);
Term a=computeTermInIdeal(g,m+1);
//fprintf(Stderr,"Returned term:");
//AsciiPrinter(Stderr).printPolynomial(Polynomial(a));
//fprintf(Stderr,"\n");
for(int i=0;true;i++)
{
a.m.exponent[m]=i;
Polynomial p=Polynomial(a);
if(division(p,g2,LexicographicTermOrder()).isZero())return a;
}
assert(0);
return a;
}
bool containsMonomial(PolynomialSet const &ideal)
{
// Assuming the ideal is homogeneous
if(ideal.empty())return false;
for(PolynomialSet::const_iterator i=ideal.begin();i!=ideal.end();i++)
if(i->isMonomial())return true;
int n=ideal.begin()->numberOfVariablesInRing();
PolynomialSet g=ideal;
for(int i=0;i<n;i++)
{
buchberger(&g,ReverseLexicographicTermOrder(i));
// fprintf(Stderr,"before:");
// AsciiPrinter(Stderr).printPolynomialSet(g);
for(PolynomialSet::iterator j=g.begin();j!=g.end();j++)
j->saturate();
// fprintf(Stderr,"after:");
// AsciiPrinter(Stderr).printPolynomialSet(g);
}
buchberger(&g,ReverseLexicographicTermOrder(0));
// fprintf(Stderr,"after:");
// AsciiPrinter(Stderr).printPolynomialSet(g);
return g.size()==1 && g.begin()->isMonomial();
}
PolynomialSet saturatedIdeal(PolynomialSet const &ideal)
{
// Assuming the ideal is homogeneous
assert(!ideal.empty());
int n=ideal.begin()->numberOfVariablesInRing();
PolynomialSet g=ideal;
for(int i=0;i<n;i++)
{
buchberger(&g,ReverseLexicographicTermOrder(i));
for(PolynomialSet::iterator j=g.begin();j!=g.end();j++)
j->saturate();
}
buchberger(&g,ReverseLexicographicTermOrder(0));
return g;
}
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