1 #include <gfanlib/gfanlib_matrix.h> 2 #include <gfanlib/gfanlib_zcone.h> 31 for (ZConesSortedByDimension::iterator coneOfA=setA.begin(); coneOfA!=setA.end(); coneOfA++)
33 for (ZConesSortedByDimension::iterator coneOfB=setB.begin(); coneOfB!=setB.end(); coneOfB++)
35 gfan::ZCone coneOfIntersection = gfan::intersection(*coneOfA,*coneOfB);
36 if (coneOfIntersection.dimension()>=d)
38 coneOfIntersection.canonicalize();
39 setAB.insert(coneOfIntersection);
57 int h = W.getHeight();
62 s->order = (
int*)
omAlloc0((h+4)*
sizeof(int));
64 s->block0 = (
int*)
omAlloc0((h+4)*
sizeof(int));
66 s->block1 = (
int*)
omAlloc0((h+4)*
sizeof(int));
67 for (
int j=0; s->wvhdl[
j];
j++)
omFree(s->wvhdl[
j]);
69 s->wvhdl = (
int**)
omAlloc0((h+4)*
sizeof(
int*));
72 bool overflow =
false;
83 for (
int j=0;
j<h-1;
j++)
100 WerrorS(
"genericlyWeightedOrdering: overflow in weight vector");
125 for (
int i=1;
i<
k;
i++)
143 for (std::set<gfan::ZCone>::iterator zc=C.begin(); zc!=C.end();)
145 gfan::ZVector
w = zc->getRelativeInteriorPoint();
146 gfan::ZMatrix W = zc->generatorsOfSpan();
152 for (
int j=0;
j<
k;
j++)
157 ideal ininIs =
initial(inIsSTD,s,w,W);
161 if (mons.first!=
NULL)
166 gs = inIsSTD->m[mons.second];
169 gs =
witness(mons.first,inIsSTD,ininIs,s);
197 if (zc->contains(wNeg))
202 for (
int j=0;
j<
k;
j++)
207 ininIs =
initial(inIsSTD,s,wNeg,W);
210 if (mons.first!=
NULL)
215 gs = inIsSTD->m[mons.second];
218 gs =
witness(mons.first,inIsSTD,ininIs,s);
256 gfan::ZMatrix raysOfC(0,u.size());
259 for (ZConesSortedByDimension::iterator zc=C.begin(); zc!=C.end(); zc++)
261 assume(zc->dimensionOfLinealitySpace()+1 >= zc->dimension());
262 if (zc->dimensionOfLinealitySpace()+1 >= zc->dimension())
263 raysOfC.appendRow(zc->getRelativeInteriorPoint());
266 gfan::ZVector interiorPoint = zc->getRelativeInteriorPoint();
269 raysOfC.appendRow(interiorPoint);
270 raysOfC.appendRow(currentStrategy->
negateWeight(interiorPoint));
274 gfan::ZMatrix zm = zc->generatorsOfLinealitySpace();
275 for (
int i=0;
i<zm.getHeight();
i++)
277 gfan::ZVector point = zm[
i];
280 raysOfC.appendRow(point);
281 raysOfC.appendRow(currentStrategy->
negateWeight(point));
291 for (ZConesSortedByDimension::iterator zc=C.begin(); zc!=C.end(); zc++)
293 assume(zc->dimensionOfLinealitySpace()+2 >= zc->dimension());
294 if (zc->dimensionOfLinealitySpace()+2 == zc->dimension())
295 raysOfC.appendRow(zc->getRelativeInteriorPoint());
298 gfan::ZVector interiorPoint = zc->getRelativeInteriorPoint();
301 raysOfC.appendRow(interiorPoint);
302 raysOfC.appendRow(currentStrategy->
negateWeight(interiorPoint));
306 gfan::ZMatrix zm = zc->generatorsOfLinealitySpace();
307 for (
int i=0;
i<zm.getHeight();
i++)
309 gfan::ZVector point = zm[
i];
312 raysOfC.appendRow(point);
313 raysOfC.appendRow(currentStrategy->
negateWeight(point));
340 ideal inI = (ideal) u->
CopyD();
355 WerrorS(
"tropicalStarDebug: unexpected parameters");
implementation of the class tropicalStrategy
const CanonicalForm int s
Class used for (list of) interpreter objects.
static ring genericlyWeightedOrdering(const ring r, const gfan::ZVector &u, const gfan::ZVector &w, const gfan::ZMatrix &W, const tropicalStrategy *currentStrategy)
ZConesSortedByDimension tropicalVarietySortedByDimension(const poly g, const ring r, const tropicalStrategy *currentCase)
static short rVar(const ring r)
#define rVar(r) (r->N)
void id_Delete(ideal *h, ring r)
deletes an ideal/module/matrix
int * ZVectorToIntStar(const gfan::ZVector &v, bool &overflow)
void WerrorS(const char *s)
poly initial(const poly p, const ring r, const gfan::ZVector w)
Returns the initial form of p with respect to w.
ring currRing
Widely used global variable which specifies the current polynomial ring for Singular interpreter and ...
poly p_PermPoly(poly p, const int *perm, const ring oldRing, const ring dst, nMapFunc nMap, const int *par_perm, int OldPar, BOOLEAN use_mult)
std::set< gfan::ZCone, ZConeCompareDimensionFirst > ZConesSortedByDimension
BOOLEAN rComplete(ring r, int force)
this needs to be called whenever a new ring is created: new fields in ring are created (like VarOffse...
ideal gfanlib_kStd_wrapper(ideal I, ring r, tHomog h=testHomog)
ring rCopy0(const ring r, BOOLEAN copy_qideal, BOOLEAN copy_ordering)
number(* nMapFunc)(number a, const coeffs src, const coeffs dst)
maps "a", which lives in src, into dst
BOOLEAN idInsertPoly(ideal h1, poly h2)
insert h2 into h1 (if h2 is not the zero polynomial) return TRUE iff h2 was indeed inserted ...
static ZConesSortedByDimension intersect(const ZConesSortedByDimension &setA, const ZConesSortedByDimension &setB, int d=0)
gfan::ZVector adjustWeightForHomogeneity(gfan::ZVector w) const
Given weight w, returns a strictly positive weight u such that an ideal satisfying the valuation-sepc...
bool restrictToLowerHalfSpace() const
returns true, if valuation non-trivial, false otherwise
static FORCE_INLINE nMapFunc n_SetMap(const coeffs src, const coeffs dst)
set the mapping function pointers for translating numbers from src to dst
ZConesSortedByDimension tropicalStar(ideal inI, const ring r, const gfan::ZVector &u, const tropicalStrategy *currentStrategy)
static void p_Delete(poly *p, const ring r)
ideal idInit(int idsize, int rank)
initialise an ideal / module
const Variable & v
< [in] a sqrfree bivariate poly
gfan::ZVector negateWeight(const gfan::ZVector &w) const
poly witness(const poly m, const ideal I, const ideal inI, const ring r)
Let w be the uppermost weight vector in the matrix defining the ordering on r.
void rDelete(ring r)
unconditionally deletes fields in r
int getExpectedDimension() const
returns the expected Dimension of the polyhedral output
bool homogeneitySpaceContains(const gfan::ZVector &v) const
returns true, if v is contained in the homogeneity space; false otherwise
std::pair< poly, int > checkInitialIdealForMonomial(const ideal I, const ring r, const gfan::ZVector &w=0) const
If given w, assuming w is in the Groebner cone of the ordering on r and I is a standard basis with re...
gfan::ZVector adjustWeightUnderHomogeneity(gfan::ZVector v, gfan::ZVector w) const
Given strictly positive weight w and weight v, returns a strictly positive weight u such that on an i...
BOOLEAN tropicalStarDebug(leftv res, leftv args)
gfan::ZMatrix raysOfTropicalStar(ideal I, const ring r, const gfan::ZVector &u, const tropicalStrategy *currentStrategy)
gfan::ZVector * bigintmatToZVector(const bigintmat &bim)