12 #define MORA_USE_BUCKETS 14 #define PRE_INTEGER_CHECK 0 141 h->length=h->pLength=
pLength(h->p);
145 if (ret < 0)
return ret;
147 h->ShallowCopyDelete(strat->
tailRing,
175 d = h->GetpFDeg()+ h->ecart;
177 h->SetShortExpVector();
187 ei = strat->
T[
j].ecart;
190 if (ei > h->ecart && ii < strat->tl)
192 li = strat->
T[
j].length;
202 if (i > strat->
tl)
break;
203 if ((strat->
T[i].ecart < ei || (strat->
T[i].ecart == ei &&
204 strat->
T[i].length < li))
211 if (strat->
T[i].ecart < ei || (strat->
T[i].ecart == ei &&
212 strat->
T[i].length < li))
217 ei = strat->
T[
i].ecart;
218 if (ei <= h->ecart)
break;
219 li = strat->
T[
i].length;
236 assume(h->FDeg == h->pFDeg());
237 at = strat->
posInL(strat->
L,strat->
Ll,h,strat);
266 h->SetShortExpVector();
271 h->ecart = d-h->GetpFDeg();
273 h->ecart = d-h->GetpFDeg()+ei-h->ecart;
277 h->ecart = h->pLDeg(strat->
LDegLast) - h->GetpFDeg();
284 if (strat->
honey) h->SetLength();
294 d = h->GetpFDeg()+h->ecart;
301 && ((d >= reddeg) || (pass > strat->
LazyPass)))
306 assume(h->FDeg == h->pFDeg());
307 at = strat->
posInL(strat->
L,strat->
Ll,h,strat);
329 if (h->pTotalDeg()+h->ecart >= (int)strat->
tailRing->bitmask)
334 at = strat->
posInL(strat->
L,strat->
Ll,h,strat);
351 d = h->GetpFDeg()+ h->ecart;
353 h->SetShortExpVector();
372 if (h->GetLmTailRing() ==
NULL)
381 ei = strat->
T[
j].ecart;
383 if (ei > h->ecart && ii < strat->tl)
385 li = strat->
T[
j].length;
395 if (i > strat->
tl)
break;
396 if ((strat->
T[i].ecart < ei || (strat->
T[i].ecart == ei &&
397 strat->
T[i].length < li))
406 if (strat->
T[i].ecart < ei || (strat->
T[i].ecart == ei &&
407 strat->
T[i].length < li))
412 ei = strat->
T[
i].ecart;
413 if (ei <= h->ecart)
break;
414 li = strat->
T[
i].length;
431 assume(h->FDeg == h->pFDeg());
432 at = strat->
posInL(strat->
L,strat->
Ll,h,strat);
433 if (at <= strat->Ll &&
pLmCmp(h->p, strat->
L[strat->
Ll].p) != 0 && !
nEqual(h->p->coef, strat->
L[strat->
Ll].p->coef))
462 h->SetShortExpVector();
467 h->ecart = d-h->GetpFDeg();
469 h->ecart = d-h->GetpFDeg()+ei-h->ecart;
473 h->ecart = h->pLDeg(strat->
LDegLast) - h->GetpFDeg();
476 d = h->GetpFDeg()+h->ecart;
483 && ((d >= reddeg) || (pass > strat->
LazyPass)))
488 assume(h->FDeg == h->pFDeg());
489 at = strat->
posInL(strat->
L,strat->
Ll,h,strat);
511 if (h->pTotalDeg()+h->ecart >= (int)strat->
tailRing->bitmask)
516 at = strat->
posInL(strat->
L,strat->
Ll,h,strat);
532 if (h->IsNull())
return 0;
541 d = h->GetpFDeg() + h->ecart;
544 h->SetShortExpVector();
550 h->SetDegStuffReturnLDeg(strat->
LDegLast);
581 h->SetShortExpVector();
594 h->SetDegStuffReturnLDeg(strat->
LDegLast);
604 if (strat->
T[j].ecart <= h->ecart)
605 h->ecart = d - h->GetpFDeg();
607 h->ecart = d - h->GetpFDeg() + strat->
T[
j].ecart - h->ecart;
609 d = h->GetpFDeg() + h->ecart;
612 d = h->SetDegStuffReturnLDeg(strat->
LDegLast);
621 && ((d >= reddeg) || (pass > strat->
LazyPass)))
626 at = strat->
posInL(strat->
L,strat->
Ll,h,strat);
644 if (h->pTotalDeg()+h->ecart >= (int)strat->
tailRing->bitmask)
649 at = strat->
posInL(strat->
L,strat->
Ll,h,strat);
670 int o = H.SetpFDeg();
674 unsigned long not_sev = ~
H.sev;
691 int ei = strat->
T[
j].ecart;
692 int li = strat->
T[
j].length;
703 if (j > strat->
tl)
break;
704 if (ei <= H.ecart)
break;
705 if (((strat->
T[j].ecart < ei)
706 || ((strat->
T[
j].ecart == ei)
707 && (strat->
T[j].length < li)))
715 ei = strat->
T[
j].ecart;
716 li = strat->
T[
j].length;
770 int o = H.SetpFDeg();
774 unsigned long not_sev = ~
H.sev;
792 int ei = strat->
T[
j].ecart;
793 int li = strat->
T[
j].length;
804 if (j > strat->
tl)
break;
805 if (ei <= H.ecart)
break;
806 if (((strat->
T[j].ecart < ei)
807 || ((strat->
T[
j].ecart == ei)
808 && (strat->
T[j].length < li)))
817 ei = strat->
T[
j].ecart;
818 li = strat->
T[
j].length;
874 for (i=1; i<=strat->
Ll; i++)
876 at = strat->
posInL(strat->
L,i-1,&(strat->
L[i]),strat);
880 for (j=i-1; j>=at; j--) strat->
L[j+1] = strat->
L[j];
896 for (i=1; i<=strat->
tl; i++)
898 if (strat->
T[i-1].length > strat->
T[i].length)
901 sev = strat->
sevT[
i];
907 if (strat->
T[i].length > strat->
T[at].length)
break;
909 for (j = i-1; j>at; j--)
911 strat->
T[j+1]=strat->
T[
j];
913 strat->
R[strat->
T[j+1].i_r] = &(strat->
T[j+1]);
916 strat->
sevT[at+1] = sev;
917 strat->
R[p.i_r] = &(strat->
T[at+1]);
983 if (i==last)
return TRUE;
993 if (L->bucket !=
NULL)
995 poly
p = L->CanonicalizeP();
1014 if (length<0)
return 0;
1017 int op= p->GetpFDeg() +p->ecart;
1018 for (j=length; j>=0; j--)
1025 && (
set[j].GetpFDeg()+
set[j].ecart >= op))
1053 p=strat->
L[strat->
Ll];
1054 strat->
L[strat->
Ll]=strat->
L[
j];
1087 strat->
L[
j].SetLmCurrRing();
1099 p=strat->
L[strat->
Ll];
1100 strat->
L[strat->
Ll]=strat->
L[
j];
1119 while (i <= strat->Ll)
1152 if (! strat->
L[i].IsNull())
1154 strat->
L[
i].SetLmCurrRing();
1155 strat->
L[
i].SetpFDeg();
1157 = strat->
L[
i].pLDeg(strat->
LDegLast) - strat->
L[
i].GetpFDeg();
1164 if (strat->
L[i].IsNull())
1186 while (i <= strat->tl)
1194 if (p.p != strat->
T[i].p)
1222 for (i=strat->
Ll; i>=0; i--)
1224 strat->
L[
i].SetpFDeg();
1226 for (i=strat->
tl; i>=0; i--)
1228 strat->
T[
i].SetpFDeg();
1280 Print(
"new s%d:",atS);
1486 strat->
HCord = 32000;
1523 int hilbeledeg=1,hilbcount=0;
1566 #ifdef HAVE_TAIL_RING 1580 while (strat->
Ll >= 0)
1587 while (strat->
Ll >= 0)
1592 && (strat->
L[strat->
Ll].ecart+strat->
L[strat->
Ll].GetpFDeg()>
Kstd1_deg))
1599 while ((strat->
Ll >= 0)
1600 && (strat->
L[strat->
Ll].p1!=
NULL) && (strat->
L[strat->
Ll].p2!=
NULL)
1601 && (strat->
L[strat->
Ll].ecart+strat->
L[strat->
Ll].GetpFDeg()>
Kstd1_deg)
1610 if (strat->
Ll<0)
break;
1613 strat->
P = strat->
L[strat->
Ll];
1640 else if (strat->
P.p1 ==
NULL)
1648 if (!strat->
P.IsNull())
1652 message(strat->
P.ecart+strat->
P.GetpFDeg(),&olddeg,&reduc,strat, red_result);
1654 red_result = strat->red(&strat->P,strat);
1658 if (! strat->
P.IsNull())
1665 strat->
P.pCleardenom();
1669 strat->
P.p =
redtail(&(strat->
P),strat->
sl,strat);
1670 if (strat->
P.p==
NULL)
1672 WerrorS(
"expoent overflow - wrong ordering");
1681 if ((strat->
P.p->next==
NULL)
1683 strat->
P.pCleardenom();
1693 posInS(strat,strat->
sl,strat->
P.p, strat->
P.ecart),
1699 khCheck(Q,w,hilb,hilbeledeg,hilbcount,strat);
1705 if (strat->
P.lcm!=
NULL)
1716 memset(&strat->
P,0,
sizeof(strat->
P));
1771 return (strat->
Shdl);
1846 for (i=strat->
sl; i>=0; i--)
1850 for (i=0; i<=strat->
sl; i++)
1857 h.sev = strat->
sevS[
i];
1878 if ((p!=
NULL)&&((lazyReduce & KSTD_NF_LAZY)==0))
1990 for (i=strat->
sl; i>=0; i--)
2004 for (j=0; j<=strat->
sl; j++)
2008 h.pLength = h.length =
pLength(h.p);
2011 h.sev = strat->
sevS[
j];
2025 if ((p!=
NULL)&&((lazyReduce & KSTD_NF_LAZY)==0))
2080 return o+(*kModW)[i-1];
2088 for (i=r->N;i>0;i--)
2090 if (kModW ==
NULL)
return j;
2093 return j+(*kModW)[i-1];
2100 return idInit(1,F->rank);
2125 strat->
kHomW=kHomW=vw;
2149 if (strat->
ak > 0 && (w!=
NULL) && (*w!=
NULL))
2151 strat->
kModW = kModW = *
w;
2181 #if PRE_INTEGER_CHECK 2206 if (strat->
ak > 0 && (w!=
NULL) && (*w!=
NULL))
2208 strat->
kModW = kModW = *
w;
2228 r=
bba(FCopy,Q,
NULL,hilb,strat);
2233 r=
mora(FCopy,Q,*w,hilb,strat);
2235 r=
bba(FCopy,Q,*w,hilb,strat);
2252 r=
mora(F,Q,*w,hilb,strat);
2254 r=
bba(F,Q,*w,hilb,strat);
2270 if ((delete_w)&&(w!=
NULL)&&(*w!=
NULL))
delete *w;
2275 int newIdeal,
intvec *vw)
2278 return idInit(1,F->rank);
2318 strat->
kHomW=kHomW=vw;
2339 if (strat->
ak > 0 && (w!=
NULL) && (*w!=
NULL))
2341 strat->
kModW = kModW = *
w;
2375 r=
mora(F,Q,*w,hilb,strat);
2383 r=
sba(F,Q,*w,hilb,strat);
2400 if ((delete_w)&&(w!=
NULL)&&(*w!=
NULL))
delete *
w;
2411 bool sigdrop =
TRUE;
2413 int totalsbaruns = 1,blockedreductions = 20,blockred = 0,loops = 0;
2414 while(sigdrop && (loops < totalsbaruns || totalsbaruns == -1)
2415 && (blockred <= blockedreductions))
2466 strat->
kHomW=kHomW=vw;
2487 if (strat->
ak > 0 && (w!=
NULL) && (*w!=
NULL))
2489 strat->
kModW = kModW = *
w;
2523 r=
mora(F,Q,*w,hilb,strat);
2530 r=
sba(r,Q,*w,hilb,strat);
2552 if ((delete_w)&&(w!=
NULL)&&(*w!=
NULL))
delete *w;
2555 if(sigdrop || blockred > blockedreductions)
2557 r =
kStd(r, Q, h, w, hilb, syzComp, newIdeal, vw);
2563 #ifdef HAVE_SHIFTBBA 2565 int newIdeal,
intvec *vw,
int uptodeg,
int lV)
2588 strat->
kHomW=kHomW=vw;
2609 if (strat->
ak > 0 && (w!=
NULL) && (*w!=
NULL))
2611 strat->
kModW = kModW = *
w;
2630 WerrorS(
"No local ordering possible for shift algebra");
2637 r=
bbaShift(F,Q,*w,hilb,strat,uptodeg,lV);
2653 if ((delete_w)&&(w!=
NULL)&&(*w!=
NULL))
delete *w;
2665 int syzComp,
int reduced)
2670 return idInit(1,F->rank);
2675 sb =
kStd(F, Q, h, w, hilb);
2705 strat->
minim=(reduced % 2)+1;
2726 if (strat->
ak > 0 && (w!=
NULL) && (*w!=
NULL))
2754 r=
mora(F,Q,*w,hilb,strat);
2761 r=
bba(F,Q,*w,hilb,strat);
2779 if ((delete_w)&&(temp_w!=
NULL))
delete temp_w;
2787 else if (strat->
M==
NULL)
2790 WarnS(
"no minimal generating set computed");
2813 poly
kNF(ideal F, ideal
Q, poly
p,
int syzComp,
int lazyReduce)
2847 res=
kNF1(F,Q,pp,strat,lazyReduce);
2849 res=
kNF2(F,Q,pp,strat,lazyReduce);
2891 res=
kNF2Bound(F,Q,pp,bound,strat,lazyReduce);
2901 ideal
kNF(ideal F, ideal
Q, ideal
p,
int syzComp,
int lazyReduce)
2942 res=
kNF1(F,Q,pp,strat,lazyReduce);
2944 res=
kNF2(F,Q,pp,strat,lazyReduce);
2995 res=
kNF2Bound(F,Q,pp,bound,strat,lazyReduce);
3006 poly
k_NF (ideal F, ideal
Q, poly
p,
int syzComp,
int lazyReduce,
const ring _currRing)
3010 poly ret =
kNF(F, Q, p, syzComp, lazyReduce);
3064 initS(tempF, tempQ, strat);
3094 ideal shdl=strat->
Shdl;
3146 strat->
kModW = kModW =
w;
3178 withT = ! strat->
homog;
3183 #ifdef HAVE_TAIL_RING 3188 while (strat->
Ll >= 0)
3195 strat->
P = strat->
L[strat->
Ll];
3198 if (strat->
P.p1 ==
NULL)
3204 if (strat->
P.p ==
NULL && strat->
P.t_p ==
NULL)
3212 &olddeg,&reduc,strat, red_result);
3215 red_result = strat->red(&strat->P,strat);
3219 if (red_result == 1)
3225 strat->
P.GetP(strat->
lmBin);
3227 int pos=
posInS(strat,strat->
sl,strat->
P.p,strat->
P.ecart);
3234 strat->
P.pCleardenom();
3238 strat->
P.p =
redtailBba(&(strat->
P),pos-1,strat, withT);
3239 strat->
P.pCleardenom();
3247 strat->
P.p =
redtailBba(&(strat->
P),pos-1,strat, withT);
3259 strat->
enterS(strat->
P, pos, strat, strat->
tl);
3267 for(;ii<=strat->
sl;ii++)
3270 memset(&h,0,
sizeof(h));
3272 h.p=strat->
S[ii]; strat->
S[ii]=
NULL;
3274 h.sev=strat->
sevS[ii];
3278 if (strat->
T[jj].p==h.p)
3280 strat->
T[jj].p=
NULL;
3283 memmove(&(strat->
T[jj]),&(strat->
T[jj+1]),
3284 (strat->
tl-jj)*
sizeof(strat->
T[jj]));
3285 memmove(&(strat->
sevT[jj]),&(strat->
sevT[jj+1]),
3286 (strat->
tl-jj)*
sizeof(strat->
sevT[jj]));
3293 int lpos=strat->
posInL(strat->
L,strat->
Ll,&h,strat);
3298 Print(
"move S[%d] -> L[%d]: ",ii,pos);
3306 for(ii=pos+1;ii<=strat->
sl;ii++) strat->
fromQ[ii]=0;
3315 if (strat->
P.lcm!=
NULL)
3328 memset(&(strat->
P), 0,
sizeof(strat->
P));
3349 #ifdef HAVE_TAIL_RING 3356 for(i=strat->
sl;i>=0;i--) strat->
S_2_R[
i]=-1;
3384 if (w!=
NULL)
delete w;
3427 res1=
kNF(null,Q,res);
3432 if (
idElem(res)<=1) need_retry=0;
3433 while (need_retry && (counter>0))
3439 int new_elems=
idElem(res1);
3440 counter -= (new_elems >= elems);
3443 if (
idElem(res1)<=1) need_retry=0;
3449 res=
kNF(null,Q,res1);
3454 if (
idElem(res)<=1) need_retry=0;
3465 #ifdef MORA_USE_BUCKETS BOOLEAN rHasLocalOrMixedOrdering(const ring r)
#define __p_GetComp(p, r)
#define pSetmComp(p)
TODO:
void initEcartPairBba(LObject *Lp, poly, poly, int, int)
void updateT(kStrategy strat)
poly k_NF(ideal F, ideal Q, poly p, int syzComp, int lazyReduce, const ring _currRing)
NOTE: this is just a wrapper which sets currRing for the actual kNF call.
int(* posInL)(const LSet set, const int length, LObject *L, const kStrategy strat)
ideal SCAQuotient(const ring r)
KINLINE TObject ** initR()
void enterSSba(LObject &p, int atS, kStrategy strat, int atR)
poly kNF2Bound(ideal F, ideal Q, poly q, int bound, kStrategy strat, int lazyReduce)
poly kNF(ideal F, ideal Q, poly p, int syzComp, int lazyReduce)
int redRing(LObject *h, kStrategy strat)
static FORCE_INLINE BOOLEAN n_IsUnit(number n, const coeffs r)
TRUE iff n has a multiplicative inverse in the given coeff field/ring r.
static CanonicalForm bound(const CFMatrix &M)
int posInT2(const TSet set, const int length, LObject &p)
static poly redMoraNFRing(poly h, kStrategy strat, int flag)
int redEcart(LObject *h, kStrategy strat)
KINLINE unsigned long * initsevT()
#define TEST_OPT_DEGBOUND
void initBuchMoraPos(kStrategy strat)
BOOLEAN(* rewCrit1)(poly sig, unsigned long not_sevSig, poly lm, kStrategy strat, int start)
static BOOLEAN idHomIdeal(ideal id, ideal Q=NULL)
void message(int i, int *reduc, int *olddeg, kStrategy strat, int red_result)
pLDegProc pOrigLDeg_TailRing
void initMora(ideal F, kStrategy strat)
#define idDelete(H)
delete an ideal
void messageStat(int hilbcount, kStrategy strat)
void kEcartWeights(poly *s, int sl, short *eweight, const ring R)
BOOLEAN faugereRewCriterion(poly sig, unsigned long not_sevSig, poly, kStrategy strat, int start=0)
Compatiblity layer for legacy polynomial operations (over currRing)
ideal kSba(ideal F, ideal Q, tHomog h, intvec **w, int sbaOrder, int arri, intvec *hilb, int syzComp, int newIdeal, intvec *vw)
long totaldegreeWecart(poly p, ring r)
void chainCritNormal(poly p, int ecart, kStrategy strat)
void initBuchMora(ideal F, ideal Q, kStrategy strat)
#define pLmCmp(p, q)
returns 0|1|-1 if p=q|p>q|p<q w.r.t monomial ordering
int redFirst(LObject *h, kStrategy strat)
long p_WDegree(poly p, const ring r)
static FORCE_INLINE BOOLEAN nCoeff_is_Ring_Z(const coeffs r)
static int doRed(LObject *h, TObject *with, BOOLEAN intoT, kStrategy strat, bool redMoraNF)
#define omFreeSize(addr, size)
#define idSimpleAdd(A, B)
BOOLEAN(* rewCrit2)(poly sig, unsigned long not_sevSig, poly lm, kStrategy strat, int start)
void initSba(ideal F, kStrategy strat)
static short rVar(const ring r)
#define rVar(r) (r->N)
void id_Delete(ideal *h, ring r)
deletes an ideal/module/matrix
long pLDeg0c(poly p, int *l, const ring r)
void enterpairs(poly h, int k, int ecart, int pos, kStrategy strat, int atR)
#define pLmDelete(p)
assume p != NULL, deletes Lm(p)->coef and Lm(p)
#define TEST_OPT_MULTBOUND
ideal kStd(ideal F, ideal Q, tHomog h, intvec **w, intvec *hilb, int syzComp, int newIdeal, intvec *vw, s_poly_proc_t sp)
int ksReducePoly(LObject *PR, TObject *PW, poly spNoether, number *coef, kStrategy strat)
BOOLEAN(* rewCrit3)(poly sig, unsigned long not_sevSig, poly lm, kStrategy strat, int start)
void(* initEcartPair)(LObject *h, poly f, poly g, int ecartF, int ecartG)
poly preIntegerCheck(const ideal Forig, const ideal Q)
used for GB over ZZ: look for constant and monomial elements in the ideal background: any known const...
void cancelunit(LObject *L, BOOLEAN inNF)
void WerrorS(const char *s)
void initBba(kStrategy strat)
void enterL(LSet *set, int *length, int *LSetmax, LObject p, int at)
int redSig(LObject *h, kStrategy strat)
ideal bba(ideal F, ideal Q, intvec *w, intvec *hilb, kStrategy strat)
static number & pGetCoeff(poly p)
return an alias to the leading coefficient of p assumes that p != NULL NOTE: not copy ...
ideal sba(ideal F0, ideal Q, intvec *w, intvec *hilb, kStrategy strat)
int(* red)(LObject *L, kStrategy strat)
void initBuchMoraPosRing(kStrategy strat)
int redHomog(LObject *h, kStrategy strat)
KINLINE poly redtailBba(poly p, int pos, kStrategy strat, BOOLEAN normalize)
poly p_KillSquares(const poly p, const short iFirstAltVar, const short iLastAltVar, const ring r)
int(* posInT)(const TSet T, const int tl, LObject &h)
void HEckeTest(poly pp, kStrategy strat)
long(* pLDegProc)(poly p, int *length, ring r)
#define pGetComp(p)
Component.
void updateL(kStrategy strat)
void enterOnePairNormal(int i, poly p, int ecart, int isFromQ, kStrategy strat, int atR=-1)
char completeReduce_retry
void kStratInitChangeTailRing(kStrategy strat)
#define TEST_OPT_NOT_BUCKETS
static BOOLEAN rField_has_simple_inverse(const ring r)
pShallowCopyDeleteProc pGetShallowCopyDeleteProc(ring, ring)
void enterT(LObject &p, kStrategy strat, int atT)
void missingAxis(int *last, kStrategy strat)
int redHoney(LObject *h, kStrategy strat)
void deleteInL(LSet set, int *length, int j, kStrategy strat)
ideal kStdShift(ideal F, ideal Q, tHomog h, intvec **w, intvec *hilb, int syzComp, int newIdeal, intvec *vw, int uptodeg, int lV)
static BOOLEAN idHomModule(ideal m, ideal Q, intvec **w)
int redRiloc(LObject *h, kStrategy strat)
void(* initEcart)(TObject *L)
int redLazy(LObject *h, kStrategy strat)
void(* enterOnePair)(int i, poly p, int ecart, int isFromQ, kStrategy strat, int atR)
void initS(ideal F, ideal Q, kStrategy strat)
poly kNF2(ideal F, ideal Q, poly q, kStrategy strat, int lazyReduce)
ideal kInterRedBba(ideal F, ideal Q, int &need_retry)
omError_t omTestMemory(int check_level)
void initEcartPairMora(LObject *Lp, poly, poly, int ecartF, int ecartG)
#define TEST_OPT_INTSTRATEGY
long id_RankFreeModule(ideal s, ring lmRing, ring tailRing)
return the maximal component number found in any polynomial in s
static long p_GetExp(const poly p, const unsigned long iBitmask, const int VarOffset)
get a single variable exponent : the integer VarOffset encodes:
#define TEST_OPT_STAIRCASEBOUND
poly redtail(LObject *L, int end_pos, kStrategy strat)
void pSetDegProcs(ring r, pFDegProc new_FDeg, pLDegProc new_lDeg)
void initHilbCrit(ideal, ideal, intvec **hilb, kStrategy strat)
void enterSMora(LObject &p, int atS, kStrategy strat, int atR=-1)
int scMult0Int(ideal S, ideal Q, const ring tailRing)
static BOOLEAN rIsPluralRing(const ring r)
we must always have this test!
poly kNF1(ideal F, ideal Q, poly q, kStrategy strat, int lazyReduce)
void initEcartBBA(TObject *h)
void updateLHC(kStrategy strat)
#define pGetShortExpVector(a)
returns the "Short Exponent Vector" – used to speed up divisibility tests (see polys-impl.cc )
static FORCE_INLINE BOOLEAN n_DivBy(number a, number b, const coeffs r)
test whether 'a' is divisible 'b'; for r encoding a field: TRUE iff 'b' does not represent zero in Z:...
long pLDeg0(poly p, int *l, const ring r)
#define pLmShortDivisibleBy(a, sev_a, b, not_sev_b)
Divisibility tests based on Short Exponent vectors sev_a == pGetShortExpVector(a) not_sev_b == ~ pGet...
#define pp_Test(p, lmRing, tailRing)
void(* enterS)(LObject &h, int pos, kStrategy strat, int atR)
long kHomModDeg(poly p, ring r)
static BOOLEAN p_LmShortDivisibleBy(poly a, unsigned long sev_a, poly b, unsigned long not_sev_b, const ring r)
ideal kInterRed(ideal F, ideal Q)
void ksCreateSpoly(LObject *Pair, poly spNoether, int use_buckets, ring tailRing, poly m1, poly m2, TObject **R)
int kFindDivisibleByInS(const kStrategy strat, int *max_ind, LObject *L)
return -1 if no divisor is found number of first divisor in S, otherwise
BOOLEAN idInsertPoly(ideal h1, poly h2)
insert h2 into h1 (if h2 is not the zero polynomial) return TRUE iff h2 was indeed inserted ...
BOOLEAN kStratChangeTailRing(kStrategy strat, LObject *L, TObject *T, unsigned long expbound)
int posInL0(const LSet set, const int length, LObject *p, const kStrategy)
#define pIsConstant(p)
like above, except that Comp might be != 0
void initBuchMoraCrit(kStrategy strat)
static int si_max(const int a, const int b)
void reorderL(kStrategy strat)
ideal kInterRedOld(ideal F, ideal Q)
void PrintS(const char *s)
void deleteHC(LObject *L, kStrategy strat, BOOLEAN fromNext)
int redSigRing(LObject *h, kStrategy strat)
static long p_MinComp(poly p, ring lmRing, ring tailRing)
static void kOptimizeLDeg(pLDegProc ldeg, kStrategy strat)
int posInT17(const TSet set, const int length, LObject &p)
int(* posInLOld)(const LSet Ls, const int Ll, LObject *Lo, const kStrategy strat)
static unsigned pLength(poly a)
#define pHead(p)
returns newly allocated copy of Lm(p), coef is copied, next=NULL, p might be NULL ...
poly kNFBound(ideal F, ideal Q, poly p, int bound, int syzComp, int lazyReduce)
void idSkipZeroes(ideal ide)
gives an ideal/module the minimal possible size
static short scaFirstAltVar(ring r)
BOOLEAN rHasMixedOrdering(const ring r)
void enterT_strong(LObject &p, kStrategy strat, int atT)
void pRestoreDegProcs(ring r, pFDegProc old_FDeg, pLDegProc old_lDeg)
void rChangeCurrRing(ring r)
BOOLEAN kCheckSpolyCreation(LObject *L, kStrategy strat, poly &m1, poly &m2)
BOOLEAN arriRewCriterion(poly, unsigned long, poly, kStrategy strat, int start=0)
#define TEST_OPT_RETURN_SB
static void p_Delete(poly *p, const ring r)
void khCheck(ideal Q, intvec *w, intvec *hilb, int &eledeg, int &count, kStrategy strat)
ideal idInit(int idsize, int rank)
initialise an ideal / module
BOOLEAN arriRewCriterionPre(poly sig, unsigned long not_sevSig, poly lm, kStrategy strat, int)
int p_IsPurePower(const poly p, const ring r)
return i, if head depends only on var(i)
void(* chainCrit)(poly p, int ecart, kStrategy strat)
void postReduceByMon(LObject *h, kStrategy strat)
used for GB over ZZ: intermediate reduction by monomial elements background: any known constant eleme...
static BOOLEAN rField_is_Ring(const ring r)
void cleanT(kStrategy strat)
ideal id_KillSquares(const ideal id, const short iFirstAltVar, const short iLastAltVar, const ring r, const bool bSkipZeroes)
void superenterpairs(poly h, int k, int ecart, int pos, kStrategy strat, int atR)
void firstUpdate(kStrategy strat)
BOOLEAN rHasGlobalOrdering(const ring r)
void khCheckLocInhom(ideal Q, intvec *w, intvec *hilb, int &count, kStrategy strat)
ideal kMin_std(ideal F, ideal Q, tHomog h, intvec **w, ideal &M, intvec *hilb, int syzComp, int reduced)
void pNorm(poly p, const ring R=currRing)
BOOLEAN hasPurePower(const poly p, int last, int *length, kStrategy strat)
void reorderT(kStrategy strat)
static BOOLEAN length(leftv result, leftv arg)
BOOLEAN(* s_poly_proc_t)(kStrategy strat)
int posInS(const kStrategy strat, const int length, const poly p, const int ecart_p)
static short scaLastAltVar(ring r)
void updateS(BOOLEAN toT, kStrategy strat)
ideal bbaShift(ideal F, ideal Q, intvec *w, intvec *hilb, kStrategy strat, int uptodeg, int lV)
static bool rIsSCA(const ring r)
void completeReduce(kStrategy strat, BOOLEAN withT)
static poly redMoraNF(poly h, kStrategy strat, int flag)
ring currRing
Widely used global variable which specifies the current polynomial ring for Singular interpreter and ...
long kModDeg(poly p, ring r)
void chainCritOpt_1(poly, int, kStrategy strat)
long maxdegreeWecart(poly p, int *l, ring r)
void updateResult(ideal r, ideal Q, kStrategy strat)
static void pLmFree(poly p)
frees the space of the monomial m, assumes m != NULL coef is not freed, m is not advanced ...
int idElem(const ideal F)
count non-zero elements
char posInLDependsOnLength
static void p_LmDelete(poly p, const ring r)
static BOOLEAN kMoraUseBucket(kStrategy strat)
void p_wrp(poly p, ring lmRing, ring tailRing)
int kFindDivisibleByInT(const kStrategy strat, const LObject *L, const int start)
return -1 if no divisor is found number of first divisor in T, otherwise
BOOLEAN newHEdge(kStrategy strat)
void enterSMoraNF(LObject &p, int atS, kStrategy strat, int atR=-1)
void initEcartNormal(TObject *h)
#define OPT_NOTREGULARITY
#define TEST_OPT_REDTHROUGH
void finalReduceByMon(kStrategy strat)
used for GB over ZZ: final reduction by constant elements background: any known constant element of i...
static ideal nc_GB(const ideal F, const ideal Q, const intvec *w, const intvec *hilb, kStrategy strat, const ring r)
int(* red2)(LObject *L, kStrategy strat)
BOOLEAN idIs0(ideal h)
returns true if h is the zero ideal
KINLINE poly kNoetherTail()
#define SI_RESTORE_OPT1(A)
KINLINE BOOLEAN arriRewDummy(poly, unsigned long, poly, kStrategy, int)
static BOOLEAN rField_is_numeric(const ring r)
void exitBuchMora(kStrategy strat)
void Werror(const char *fmt,...)
pFDegProc pOrigFDeg_TailRing
int posInL10(const LSet set, const int length, LObject *p, const kStrategy strat)
void kDebugPrint(kStrategy strat)
ideal mora(ideal F, ideal Q, intvec *w, intvec *hilb, kStrategy strat)
void enterSBba(LObject &p, int atS, kStrategy strat, int atR)
#define pCopy(p)
return a copy of the poly