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/*
* app_traversetropicalintersection.cpp
*
* Created on: Jan 4, 2011
* Author: anders
*/
#include "printer.h"
#include "parser.h"
#include "gfanapplication.h"
#include "division.h"
#include "log.h"
#include "polyhedralcone.h"
#include "tropical2.h"
#include "wallideal.h"
#include "halfopencone.h"
#include "integergb.h"
#include <ostream>
using namespace std;
class TropicalIntersectionTraverser: public ConeTraverser
{
PolynomialSet allPolys;
PolynomialSet iForms;
PolyhedralCone theCone;
int n;//,d;
int prime;
bool collect;
IntegerVectorList collection;
void updatePolyhedralCone()
{
theCone=PolyhedralCone(fastNormals(wallInequalities(allPolys)),wallInequalities(iForms),n);
theCone.canonicalize();
if(collect)
{
collection.push_back(theCone.getRelativeInteriorPoint());
int temp=collection.size();
if((temp&(2*(temp-1)))==temp)pout<<"RELINT:\n"<<collection;
}
}
public:
TropicalIntersectionTraverser(PolynomialSet const &generators, IntegerVector const &omega):
allPolys(generators),
iForms(generators.getRing()),
n(generators.getRing().getNumberOfVariables()),
collect(true)
{
IntegerVectorList l;
l.push_back(omega);
MatrixTermOrder T(l);
iForms=initialForms(generators,omega);
allPolys.mark(T);
iForms.mark(T);
updatePolyhedralCone();
}
virtual void changeCone(IntegerVector const &ridgeVector, IntegerVector const &rayVector)
{
IntegerVectorList l;
l.push_back(ridgeVector);l.push_back(rayVector);
MatrixTermOrder T(l);
allPolys.mark(T);
iForms=initialForms(initialForms(allPolys,ridgeVector),rayVector);
iForms.mark(T);
updatePolyhedralCone();
}
virtual IntegerVectorList link(IntegerVector const &ridgeVector)
{
PolyhedralFan l=tropicalHyperSurfaceIntersectionClosed(n, initialForms(allPolys,ridgeVector));
assert(l.getMaxDimension()==l.dimensionOfLinealitySpace()+1);
IntegerVectorList ret;
for(set<PolyhedralCone>::const_iterator i=l.conesBegin();i!=l.conesEnd();i++)
if(!(i->getUniquePoint().isZero()))ret.push_back(i->getUniquePoint());
assert(ret.size()>1);
return ret;
}
PolyhedralCone & refToPolyhedralCone()
{
return theCone;
}
};
class TraverseTropicalIntersectionApplication : public GFanApplication
{
SimpleOption optionSymmetry;
public:
bool includeInDefaultInstallation()
{
return false;
}
const char *helpText()
{
return "This program \n";
}
TraverseTropicalIntersectionApplication():
optionSymmetry("--symmetry","Do computations up to symmetry and group the output accordingly. If this option is used the program will read in a list of generators for a symmetry group after the other input.")
{
registerOptions();
}
const char *name()
{
return "_traversetropicalintersection";
}
int main()
{
FileParser P(Stdin);
PolynomialSet a=P.parsePolynomialSetWithRing();
int n=a.getRing().getNumberOfVariables();
IntegerVector omega=P.parseIntegerVector();
{
SymmetryGroup G(n);
if(optionSymmetry.getValue())
{
IntegerVectorList generators=P.parseIntegerVectorList();
G.computeClosure(generators);
G.createTrie();
}
SymmetricTargetFanBuilder target(n,G);
TropicalIntersectionTraverser traverser(a,omega);
symmetricTraverse(traverser,target,&G);
AsciiPrinter Q(Stdout);
target.getFanRef().printWithIndices(&Q,
FPF_default);
}
return 0;
}
};
static TraverseTropicalIntersectionApplication theApplication;
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