source: git/kernel/kutil.h @ 830ef8

spielwiese
Last change on this file since 830ef8 was 830ef8, checked in by Hans Schoenemann <hannes@…>, 13 years ago
may need posInL110 git-svn-id: file:///usr/local/Singular/svn/trunk@14104 2c84dea3-7e68-4137-9b89-c4e89433aadc
  • Property mode set to 100644
File size: 22.8 KB
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[35aab3]1#ifndef KUTIL_H
2#define KUTIL_H
3/****************************************
4*  Computer Algebra System SINGULAR     *
5****************************************/
[341696]6/* $Id$ */
[35aab3]7/*
8* ABSTRACT: kernel: utils for kStd
9*/
10
11
12#include <string.h>
[b1dfaf]13#include <omalloc/mylimits.h>
[35aab3]14
[599326]15#include <kernel/structs.h>
[b1dfaf]16#include <omalloc/omalloc.h>
[599326]17#include <kernel/ring.h>
18#include <kernel/structs.h>
19#include <kernel/pShallowCopyDelete.h>
[35aab3]20
21#if 1
22#define setmax 16
[425d94c]23#define setmaxL ((4096-12)/sizeof(LObject))
24#define setmaxLinc ((4096)/sizeof(LObject))
[939847]25
26#define setmaxT 64
27#define setmaxTinc 32
[35aab3]28#else
29#define setmax 16
30#define setmaxL 16
31#define setmaxLinc 16
32#define setmaxT 16
33#define setmaxTinc 16
34#endif
35
[228b631]36// if you want std computations as in Singular version < 2:
37// This disables RedThrough, tailReductions against T (bba),
[35aab3]38// sets posInT = posInT15 (bba, strat->honey), and enables redFirst with LDeg
[228b631]39// NOTE: can be achieved with option(oldStd)
[35aab3]40
41#undef NO_KINLINE
42#if !defined(KDEBUG) && !defined(NO_INLINE)
43#define KINLINE inline
44#else
45#define KINLINE
46#define NO_KINLINE 1
47#endif
48
49typedef int* intset;
[58ebad]50typedef int64  wlen_type;
[fe5ad5]51typedef wlen_type* wlen_set;
52
[35aab3]53typedef class sTObject TObject;
54typedef class sLObject LObject;
55typedef TObject * TSet;
56typedef LObject * LSet;
57
58class sTObject
59{
60public:
61  poly p;       // Lm(p) \in currRing Tail(p) \in tailRing
62  poly t_p;     // t_p \in tailRing: as monomials Lm(t_p) == Lm(p)
63  poly max;     // p_GetMaxExpP(pNext(p))
[ad07b8]64  ring tailRing;
[35aab3]65  long FDeg;    // pFDeg(p)
66  int ecart,
67    length,     // as of pLDeg
68    pLength,    // either == 0, or == pLength(p)
69    i_r;        // index of TObject in R set, or -1 if not in T
70  BOOLEAN is_normalized; // true, if pNorm was called on p, false otherwise
71
72  // initialization
73  KINLINE void Init(ring r = currRing);
74  KINLINE sTObject(ring tailRing = currRing);
75  KINLINE sTObject(poly p, ring tailRing = currRing);
76  KINLINE sTObject(poly p, ring c_r, ring tailRing);
77  KINLINE sTObject(sTObject* T, int copy);
78
79  KINLINE void Set(ring r=currRing);
80  KINLINE void Set(poly p_in, ring r=currRing);
81  KINLINE void Set(poly p_in, ring c_r, ring t_r);
82
83  // Frees the polys of T
84  KINLINE void Delete();
85  // Sets polys to NULL
86  KINLINE void Clear();
87  // makes a copy of the poly of T
88  KINLINE void Copy();
89
90  // ring-dependent Lm access: these might result in allocation of monomials
91  KINLINE poly GetLmCurrRing();
92  KINLINE poly GetLmTailRing();
93  KINLINE poly GetLm(ring r);
94  // this returns Lm and ring r (preferably from tailRing), but does not
95  // allocate a new poly
96  KINLINE void GetLm(poly &p, ring &r) const;
[585bbcb]97
98#ifdef OLIVER_PRIVAT_LT
99  // routines for calc. with rings
100  KINLINE poly GetLtCurrRing();
101  KINLINE poly GetLtTailRing();
102  KINLINE poly GetLt(ring r);
103  KINLINE void GetLt(poly &p, ring &r) const;
104#endif
105
[35aab3]106  KINLINE BOOLEAN IsNull() const;
107
108  KINLINE int GetpLength();
109
110  // makes sure that T.p exists
111  KINLINE void SetLmCurrRing();
112
113  // Iterations
114  // simply get the next monomial
115  KINLINE poly Next();
116  KINLINE void LmDeleteAndIter();
117
118  // deg stuff
[d5564f8]119  // compute pTotalDegree
120  KINLINE long pTotalDeg() const;
[35aab3]121  // computes pFDeg
122  KINLINE long pFDeg() const;
123  // computes and sets FDeg
124  KINLINE long SetpFDeg();
125  // gets stored FDeg
126  KINLINE long GetpFDeg() const;
127
128  // computes pLDeg
129  KINLINE long pLDeg();
130  // sets length, FDeg, returns LDeg
131  KINLINE long SetDegStuffReturnLDeg();
132
133  // arithmetic
134  KINLINE void Mult_nn(number n);
135  KINLINE void ShallowCopyDelete(ring new_tailRing, omBin new_tailBin,
136                                 pShallowCopyDeleteProc p_shallow_copy_delete,
137                                 BOOLEAN set_max = TRUE);
138  // manipulations
139  KINLINE void pNorm();
140  KINLINE void pCleardenom();
141
142#ifdef KDEBUG
143  void wrp();
144#endif
145};
146
[2d9e1e]147#ifndef NDEBUG
148extern int strat_nr;
149extern int strat_fac_debug;
150#endif
151
[35aab3]152class sLObject : public sTObject
153{
154
155public:
156  unsigned long sev;
[63e7d6c]157  poly  p1,p2; /*- the pair p comes from,
158                 lm(pi) in currRing, tail(pi) in tailring -*/
[35aab3]159
160  poly  lcm;   /*- the lcm of p1,p2 -*/
161  poly last;   // pLast(p) during reductions
162  kBucket_pt bucket;
163  int   i_r1, i_r2;
164
165  // initialization
166  KINLINE void Init(ring tailRing = currRing);
167  KINLINE sLObject(ring tailRing = currRing);
168  KINLINE sLObject(poly p, ring tailRing = currRing);
169  KINLINE sLObject(poly p, ring c_r, ring tailRing);
170
171  // Frees the polys of L
172  KINLINE void Delete();
173  KINLINE void Clear();
174
175  // Iterations
176  KINLINE void LmDeleteAndIter();
177  KINLINE poly LmExtractAndIter();
178
179  // spoly related things
180  // preparation for reduction if not spoly
181  KINLINE void PrepareRed(BOOLEAN use_bucket);
182  KINLINE void SetLmTail(poly lm, poly new_p, int length,
183                         int use_bucket, ring r, poly last);
184  KINLINE void Tail_Minus_mm_Mult_qq(poly m, poly qq, int lq, poly spNoether);
185  KINLINE void Tail_Mult_nn(number n);
186  // deletes bucket, makes sure that p and t_p exists
187  KINLINE poly GetP(omBin lmBin = NULL);
188  // similar, except that only t_p exists
189  KINLINE poly GetTP();
190
191  // does not delete bucket, just canonicalizes it
192  // returned poly is such that Lm(p) \in currRing, Tail(p) \in tailRing
193  KINLINE poly CanonicalizeP();
194
195  // makes a copy of the poly of L
196  KINLINE void Copy();
197  // gets the poly and makes a copy of it
198  KINLINE poly CopyGetP();
199
200  KINLINE int GetpLength();
201  KINLINE long pLDeg(BOOLEAN use_last);
202  KINLINE long pLDeg();
203  KINLINE int SetLength(BOOLEAN lengt_pLength = FALSE);
204  KINLINE long SetDegStuffReturnLDeg();
205  KINLINE long SetDegStuffReturnLDeg(BOOLEAN use_last);
206
207  // returns minimal component of p
208  KINLINE long MinComp();
209  // returns component of p
210  KINLINE long Comp();
211
212  KINLINE void ShallowCopyDelete(ring new_tailRing,
213                                 pShallowCopyDeleteProc p_shallow_copy_delete);
214
215  // sets sev
216  KINLINE void SetShortExpVector();
217
218  // enable assignment from TObject
219  KINLINE sLObject& operator=(const sTObject&);
220
221  // get T's corresponding to p1, p2: they might return NULL
222  KINLINE TObject* T_1(const skStrategy* strat);
223  KINLINE TObject* T_2(const skStrategy* strat);
224  KINLINE void     T_1_2(const skStrategy* strat,
225                         TObject* &T_1, TObject* &T_2);
[88f583]226
227  // simplify coefficients
228  KINLINE void Normalize();
229  KINLINE void HeadNormalize();
[35aab3]230};
231
232
233extern int HCord;
234
235class skStrategy;
236typedef skStrategy * kStrategy;
237class skStrategy
238{
239public:
240  kStrategy next;
241  int (*red)(LObject * L,kStrategy strat);
242  void (*initEcart)(LObject * L);
243  int (*posInT)(const TSet T,const int tl,LObject &h);
244  int (*posInL)(const LSet set, const int length,
245                LObject* L,const kStrategy strat);
[b130fb]246  void (*enterS)(LObject h, int pos,kStrategy strat, int atR/* =-1*/ );
[35aab3]247  void (*initEcartPair)(LObject * h, poly f, poly g, int ecartF, int ecartG);
248  int (*posInLOld)(const LSet Ls,const int Ll,
249                   LObject* Lo,const kStrategy strat);
[6c55ae]250  void (*enterOnePair) (int i,poly p,int ecart, int isFromQ,kStrategy strat, int atR /*= -1*/);
251  void (*chainCrit) (poly p,int ecart,kStrategy strat);
[35aab3]252  pFDegProc pOrigFDeg;
253  pLDegProc pOrigLDeg;
254  pFDegProc pOrigFDeg_TailRing;
255  pLDegProc pOrigLDeg_TailRing;
256
257  LObject P;
258  ideal Shdl;
259  ideal D; /*V(S) is in D(D)*/
260  ideal M; /*set of minimal generators*/
261  polyset S;
262  intset ecartS;
263  intset lenS;
[fe5ad5]264  wlen_set lenSw; /* for tgb.ccc */
[35aab3]265  intset fromQ;
266  unsigned long* sevS;
267  unsigned long* sevT;
268  TSet T;
269  LSet L;
270  LSet    B;
271  poly    kHEdge;
272  poly    kNoether;
273  poly    t_kHEdge; // same polys in tailring
274  KINLINE poly    kNoetherTail();
275  poly    t_kNoether;
276  BOOLEAN * NotUsedAxis;
[660ed3]277  BOOLEAN * pairtest;/*used for enterOnePair*/
[35aab3]278  poly tail;
279  leftv kIdeal;
280  intvec * kModW;
281  intvec * kHomW;
282  // procedure for ShalloCopy from tailRing  to currRing
283  pShallowCopyDeleteProc p_shallow_copy_delete;
284  // pointers to Tobjects R[i] is ith Tobject which is generated
285  TObject**  R;
286  // S_2_R[i] yields Tobject which corresponds to S[i]
287  int*      S_2_R;
288  ring tailRing;
289  omBin lmBin;
290  omBin tailBin;
[2d9e1e]291#ifndef NDEBUG
292  int nr;
293#endif
[35aab3]294  int cp,c3;
[1c473f]295  int cv; // in shift bases: counting V criterion
[35aab3]296  int sl,mu;
297  int tl,tmax;
298  int Ll,Lmax;
299  int Bl,Bmax;
300  int ak,LazyDegree,LazyPass;
301  int syzComp;
302  int HCord;
303  int lastAxis;
304  int newIdeal;
305  int minim;
[63b728c]306  #ifdef HAVE_SHIFTBBA
307  int lV;
308  #endif
[35aab3]309  BOOLEAN interpt;
310  BOOLEAN homog;
[aef1b86]311#ifdef HAVE_PLURAL
312  BOOLEAN z2homog; // Z_2 - homogeneous input allows product criterion in commutative and SCA cases!
313#endif
[35aab3]314  BOOLEAN kHEdgeFound;
315  BOOLEAN honey,sugarCrit;
316  BOOLEAN Gebauer,noTailReduction;
317  BOOLEAN fromT;
318  BOOLEAN noetherSet;
319  BOOLEAN update;
320  BOOLEAN posInLOldFlag;
321  BOOLEAN use_buckets;
322  BOOLEAN interred_flag;
323  // if set, pLDeg(p, l) == (pFDeg(pLast(p), pLength)
324  BOOLEAN LDegLast;
325  // if set, then L.length == L.pLength
326  BOOLEAN length_pLength;
327  // if set, then posInL does not depend on L.length
328  BOOLEAN posInLDependsOnLength;
329  /*FALSE, if posInL == posInL10*/
[a794e7]330#ifdef HAVE_PLURAL
[cce4a2f]331  // set this flag to 1 to stop the product criteria
332  // use ALLOW_PROD_CRIT(strat) to test
[a794e7]333  BOOLEAN no_prod_crit;
[cce4a2f]334#define ALLOW_PROD_CRIT(A) (!(A)->no_prod_crit)
[a794e7]335#else
[cce4a2f]336#define ALLOW_PROD_CRIT(A) (1)
[a794e7]337#endif
[35aab3]338  char    redTailChange;
339  char    news;
340  char    newt;/*used for messageSets*/
[660ed3]341  char    noClearS;
[b57694]342  char    completeReduce_retry;
[d5564f8]343  char    overflow;
[35aab3]344
345  skStrategy();
346  ~skStrategy();
347
348  // return TObject corresponding to S[i]: assume that it exists
349  // i.e. no error checking is done
350  KINLINE TObject* S_2_T(int i);
351  // like S_2_T, except that NULL is returned if it can not be found
352  KINLINE TObject* s_2_t(int i);
353};
354
355void deleteHC(poly *p, int *e, int *l, kStrategy strat);
356void deleteHC(LObject* L, kStrategy strat, BOOLEAN fromNext = FALSE);
357void deleteInS (int i,kStrategy strat);
358void cleanT (kStrategy strat);
[e259fe]359static inline LSet initL (int nr=setmaxL)
360{ return (LSet)omAlloc(nr*sizeof(LObject)); };
[35aab3]361void deleteInL(LSet set, int *length, int j,kStrategy strat);
362void enterL (LSet *set,int *length, int *LSetmax, LObject p,int at);
363void enterSBba (LObject p,int atS,kStrategy strat, int atR = -1);
364void initEcartPairBba (LObject* Lp,poly f,poly g,int ecartF,int ecartG);
365void initEcartPairMora (LObject* Lp,poly f,poly g,int ecartF,int ecartG);
[391323]366int posInS (const kStrategy strat, const int length, const poly p, 
367            const int ecart_p);
[35aab3]368int posInT0 (const TSet set,const int length,LObject &p);
369int posInT1 (const TSet set,const int length,LObject &p);
370int posInT2 (const TSet set,const int length,LObject &p);
371int posInT11 (const TSet set,const int length,LObject &p);
372int posInT110 (const TSet set,const int length,LObject &p);
373int posInT13 (const TSet set,const int length,LObject &p);
374int posInT15 (const TSet set,const int length,LObject &p);
375int posInT17 (const TSet set,const int length,LObject &p);
376int posInT19 (const TSet set,const int length,LObject &p);
377int posInT_EcartpLength(const TSet set,const int length,LObject &p);
378
379#ifdef HAVE_MORE_POS_IN_T
380int posInT_EcartFDegpLength(const TSet set,const int length,LObject &p);
381int posInT_FDegpLength(const TSet set,const int length,LObject &p);
382int posInT_pLength(const TSet set,const int length,LObject &p);
383#endif
384
385
386void reorderS (int* suc,kStrategy strat);
387int posInL0 (const LSet set, const int length,
388             LObject* L,const kStrategy strat);
389int posInL11 (const LSet set, const int length,
390             LObject* L,const kStrategy strat);
391int posInL13 (const LSet set, const int length,
392             LObject* L,const kStrategy strat);
393int posInL15 (const LSet set, const int length,
394             LObject* L,const kStrategy strat);
395int posInL17 (const LSet set, const int length,
396             LObject* L,const kStrategy strat);
397int posInL10 (const LSet set, const int length,
398             LObject* L,const kStrategy strat);
[830ef8]399int posInL110 (const LSet set, const int length,
400             LObject* L,const kStrategy strat);
[015bba]401KINLINE poly redtailBba (poly p,int pos,kStrategy strat,BOOLEAN normalize=FALSE);
[5eb865]402#ifdef HAVE_RINGS
403KINLINE poly redtailBba_Z (poly p,int pos,kStrategy strat);
404poly redtailBba_Z (LObject* L, int pos, kStrategy strat );
405#endif
[015bba]406poly redtailBba (LObject *L, int pos,kStrategy strat,
407                 BOOLEAN withT = FALSE,BOOLEAN normalize=FALSE);
408poly redtailBba (TObject *T, int pos,kStrategy strat);
[35aab3]409poly redtail (poly p,int pos,kStrategy strat);
410poly redtail (LObject *L,int pos,kStrategy strat);
[ab1c36]411poly redNF (poly h,int & max_ind,int nonorm,kStrategy strat);
[35aab3]412int redNF0 (LObject *P,kStrategy strat);
413poly redNFTail (poly h,const int sl,kStrategy strat);
414int redHoney (LObject* h, kStrategy strat);
[206e158]415#ifdef HAVE_RINGS
[093f30e]416int redRing (LObject* h,kStrategy strat);
[f92547]417void enterExtendedSpoly(poly h,kStrategy strat);
418void superenterpairs (poly h,int k,int ecart,int pos,kStrategy strat, int atR = -1);
[6d09f28]419poly kCreateZeroPoly(long exp[], long cabsind, poly* t_p, ring leadRing, ring tailRing);
[206e158]420long ind2(long arg);
[c90b43]421
[206e158]422long ind_fact_2(long arg);
423long twoPow(long arg);
[6d09f28]424ideal createG0();
[585bbcb]425#endif
[35aab3]426int redLazy (LObject* h,kStrategy strat);
427int redHomog (LObject* h,kStrategy strat);
428void enterpairs (poly h, int k, int ec, int pos,kStrategy strat, int atR = -1);
429void entersets (LObject h);
430void pairs ();
431void message (int i,int* reduc,int* olddeg,kStrategy strat,int red_result);
432void messageStat (int srmax,int lrmax,int hilbcount,kStrategy strat);
433#ifdef KDEBUG
434void messageSets (kStrategy strat);
435#else
436#define messageSets(s)  ((void) 0)
437#endif
438
439void initEcartNormal (LObject* h);
440void initEcartBBA (LObject* h);
441void initS (ideal F, ideal Q,kStrategy strat);
442void initSL (ideal F, ideal Q,kStrategy strat);
443void updateS(BOOLEAN toT,kStrategy strat);
444void enterT (LObject p,kStrategy strat, int atT = -1);
[5572c1]445void cancelunit (LObject* p,BOOLEAN inNF=FALSE);
[35aab3]446void HEckeTest (poly pp,kStrategy strat);
447void initBuchMoraCrit(kStrategy strat);
448void initHilbCrit(ideal F, ideal Q, intvec **hilb,kStrategy strat);
449void initBuchMoraPos(kStrategy strat);
450void initBuchMora (ideal F, ideal Q,kStrategy strat);
451void exitBuchMora (kStrategy strat);
452void updateResult(ideal r,ideal Q,kStrategy strat);
[4d43ff]453void completeReduce (kStrategy strat, BOOLEAN withT=FALSE);
[35aab3]454void kFreeStrat(kStrategy strat);
[6c55ae]455void enterOnePairNormal (int i,poly p,int ecart, int isFromQ,kStrategy strat, int atR);
456void chainCritNormal (poly p,int ecart,kStrategy strat);
[35aab3]457BOOLEAN homogTest(polyset F, int Fmax);
458BOOLEAN newHEdge(polyset S, kStrategy strat);
459// returns index of p in TSet, or -1 if not found
460int kFindInT(poly p, TSet T, int tlength);
461
462// return -1 if no divisor is found
463//        number of first divisor, otherwise
464int kFindDivisibleByInT(const TSet &T, const unsigned long* sevT,
465                        const int tl, const LObject* L, const int start=0);
466// same with S
[391323]467int kFindDivisibleByInS(const kStrategy strat, int *max_ind, LObject* L);
[35aab3]468
[7ba059]469int kFindNextDivisibleByInS(const kStrategy strat, int start,int max_ind, LObject* L);
[35aab3]470TObject*
471kFindDivisibleByInS(kStrategy strat, int pos, LObject* L, TObject *T,
472                    long ecart = LONG_MAX);
473
474/***************************************************************
475 *
476 * stuff to be inlined
477 *
478 ***************************************************************/
479
480KINLINE TSet initT ();
481KINLINE TObject** initR();
482KINLINE unsigned long* initsevT();
483KINLINE poly k_LmInit_currRing_2_tailRing(poly p, ring tailRing, omBin bin);
484KINLINE poly k_LmInit_tailRing_2_currRing(poly p, ring tailRing, omBin bin);
485KINLINE poly k_LmShallowCopyDelete_currRing_2_tailRing(poly p, ring tailRing, omBin bin);
486KINLINE poly k_LmShallowCopyDelete_tailRing_2_currRing(poly p, ring tailRing,  omBin bin);
487
488KINLINE poly k_LmInit_currRing_2_tailRing(poly p, ring tailRing);
489KINLINE poly k_LmInit_tailRing_2_currRing(poly p, ring tailRing);
490KINLINE poly k_LmShallowCopyDelete_currRing_2_tailRing(poly p, ring tailRing);
491KINLINE poly k_LmShallowCopyDelete_tailRing_2_currRing(poly p, ring tailRing);
492
493// if exp bound is not violated, return TRUE and
494//                               get m1 = LCM(LM(p1), LM(p2))/LM(p1)
495//                                   m2 = LCM(LM(p1), LM(p2))/LM(p2)
496// return FALSE and m1 == NULL, m2 == NULL     , otherwise
497KINLINE BOOLEAN k_GetLeadTerms(const poly p1, const poly p2, const ring p_r,
498                               poly &m1, poly &m2, const ring m_r);
[d681e8]499#ifdef HAVE_RINGS
[ca371d]500KINLINE void k_GetStrongLeadTerms(const poly p1, const poly p2, const ring leadRing,
[d681e8]501                               poly &m1, poly &m2, poly &lcm, const ring taiRing);
502#endif
[35aab3]503#ifdef KDEBUG
504// test strat
505BOOLEAN kTest(kStrategy strat);
506// test strat, and test that S is contained in T
507BOOLEAN kTest_TS(kStrategy strat);
508// test LObject
509BOOLEAN kTest_L(LObject* L, ring tailRing = NULL,
510                 BOOLEAN testp = FALSE, int lpos = -1,
511                 TSet T = NULL, int tlength = -1);
512// test TObject
513BOOLEAN kTest_T(TObject* T, ring tailRing = NULL, int tpos = -1, char TN = '?');
514// test set strat->SevS
515BOOLEAN kTest_S(kStrategy strat);
516#else
517#define kTest(A)        ((void)0)
518#define kTest_TS(A)     ((void)0)
519#define kTest_T(T)      ((void)0)
520#define kTest_S(T)      ((void)0)
521#define kTest_L(T)      ((void)0)
522#endif
523
524
525/***************************************************************
526 *
527 * From kstd2.cc
528 *
529 ***************************************************************/
[a6889e]530poly kFindZeroPoly(poly input_p, ring leadRing, ring tailRing);
[35aab3]531ideal bba (ideal F, ideal Q,intvec *w,intvec *hilb,kStrategy strat);
532poly kNF2 (ideal F, ideal Q, poly q, kStrategy strat, int lazyReduce);
533ideal kNF2 (ideal F,ideal Q,ideal q, kStrategy strat, int lazyReduce);
534void initBba(ideal F,kStrategy strat);
535
536/***************************************************************
537 *
538 * From kSpolys.cc
539 *
540 ***************************************************************/
541// Reduces PR with PW
542// Assumes PR != NULL, PW != NULL, Lm(PW) divides Lm(PR)
543// Changes: PR
544// Const:   PW
545// If coef != NULL, then *coef is a/gcd(a,b), where a = LC(PR), b = LC(PW)
546// If strat != NULL, tailRing is changed if reduction would violate exp bound
547// of tailRing
548// Returns: 0 everything ok, no tailRing change
549//          1 tailRing has successfully changed (strat != NULL)
550//          2 no reduction performed, tailRing needs to be changed first
551//            (strat == NULL)
552//         -1 tailRing change could not be performed due to exceeding exp
553//            bound of currRing
554int ksReducePoly(LObject* PR,
555                 TObject* PW,
556                 poly spNoether = NULL,
557                 number *coef = NULL,
558                 kStrategy strat = NULL);
559
560// Reduces PR at Current->next with PW
561// Assumes PR != NULL, Current contained in PR
562//         Current->next != NULL, LM(PW) devides LM(Current->next)
563// Changes: PR
564// Const:   PW
565// Return: see ksReducePoly
566int ksReducePolyTail(LObject* PR,
567                     TObject* PW,
568                     poly Current,
569                     poly spNoether = NULL);
570
571KINLINE int ksReducePolyTail(LObject* PR, TObject* PW, LObject* Red);
572
573// Creates S-Poly of Pair
574// Const:   Pair->p1, Pair->p2
575// Changes: Pair->p == S-Poly of p1, p2
576// Assume:  Pair->p1 != NULL && Pair->p2
577void ksCreateSpoly(LObject* Pair, poly spNoether = NULL,
578                   int use_buckets=0, ring tailRing=currRing,
579                   poly m1 = NULL, poly m2 = NULL, TObject** R = NULL);
580
581/*2
582* creates the leading term of the S-polynomial of p1 and p2
583* do not destroy p1 and p2
584* remarks:
585*   1. the coefficient is 0 (nNew)
586*   2. pNext is undefined
587*/
588poly ksCreateShortSpoly(poly p1, poly p2, ring tailRing);
589
590
591/*
592* input - output: a, b
593* returns:
594*   a := a/gcd(a,b), b := b/gcd(a,b)
595*   and return value
596*       0  ->  a != 1,  b != 1
597*       1  ->  a == 1,  b != 1
598*       2  ->  a != 1,  b == 1
599*       3  ->  a == 1,  b == 1
600*   this value is used to control the spolys
601*/
602int ksCheckCoeff(number *a, number *b);
603
604// old stuff
605KINLINE poly ksOldSpolyRed(poly p1, poly p2, poly spNoether = NULL);
606KINLINE poly ksOldSpolyRedNew(poly p1, poly p2, poly spNoether = NULL);
607KINLINE poly ksOldCreateSpoly(poly p1, poly p2, poly spNoether = NULL, ring r = currRing);
608KINLINE void ksOldSpolyTail(poly p1, poly q, poly q2, poly spNoether, ring r = currRing);
609
610/***************************************************************
611 *
612 * Routines related for ring changes during std computations
613 *
614 ***************************************************************/
615// return TRUE and set m1, m2 to k_GetLcmTerms,
616//             if spoly creation of strat->P does not violate
617//             exponent bound of strat->tailRing
618//      FALSE, otherwise
619BOOLEAN kCheckSpolyCreation(LObject* L, kStrategy strat, poly &m1, poly &m2);
[7245240]620#ifdef HAVE_RINGS
621// return TRUE if gcdpoly creation of R[atR] and S[atS] does not violate
622//             exponent bound of strat->tailRing
623//      FALSE, otherwise
624BOOLEAN kCheckStrongCreation(int atR, poly m1, int atS, poly m2, kStrategy strat);
625#endif
[35aab3]626// change strat->tailRing and adjust all data in strat, L, and T:
627// new tailRing has larger exponent bound
628// do nothing and return FALSE if exponent bound increase would result in
629// larger exponent bound that that of currRing
630BOOLEAN kStratChangeTailRing(kStrategy strat,
631                             LObject* L = NULL, TObject* T = NULL,
632                             // take this as new_expbound: if 0
633                             // new expbound is 2*expbound of tailRing
634                             unsigned long new_expbound = 0);
635// initiate a change of the tailRing of strat -- should be called
636// right before main loop in bba
637void kStratInitChangeTailRing(kStrategy strat);
638
[4f7d76]639/// Output some debug info about a given strategy
640void kDebugPrint(kStrategy strat);
641
642
[ec69aa]643KINLINE void clearS (poly p, unsigned long p_sev, int* at, int* k,
644  kStrategy strat);
[599326]645#include <kernel/kInline.cc>
[35aab3]646
[cb0fbe]647/* shiftgb stuff */
[599326]648#include <kernel/shiftgb.h>
[35aab3]649
[4d2ab5c]650poly pMove2CurrTail(poly p, kStrategy strat);
651
652poly pMoveCurrTail2poly(poly p, kStrategy strat);
653
654poly pCopyL2p(LObject h, kStrategy strat);
655
[37a4c3]656void enterTShift(LObject p, kStrategy strat, int atT, int uptodeg, int lV);
[cb0fbe]657
[37a4c3]658void initBuchMoraShift (ideal F,ideal Q,kStrategy strat);
659
660void enterOnePairManyShifts (int i, poly p, int ecart, int isFromQ, kStrategy strat, int atR, int uptodeg, int lV); // ok
661
662void enterOnePairSelfShifts (poly qq, poly p, int ecart, int isFromQ, kStrategy strat, int atR, int uptodeg, int lV);
663
[4d2ab5c]664void enterOnePairShift (poly q, poly p, int ecart, int isFromQ, kStrategy strat, int atR, int ecartq, int qisFromQ, int shiftcount, int ifromS, int uptodeg, int lV); // ok
[37a4c3]665
666void enterpairsShift (poly h,int k,int ecart,int pos,kStrategy strat, int atR,int uptodeg, int lV);
667
668void initenterpairsShift (poly h,int k,int ecart,int isFromQ,kStrategy strat, int atR,int uptodeg, int lV); 
669
670void updateSShift(kStrategy strat,int uptodeg,int lV);
[cb0fbe]671
672void initBbaShift(ideal F,kStrategy strat);
673
[37a4c3]674poly redtailBbaShift (LObject* L, int pos, kStrategy strat, BOOLEAN withT, BOOLEAN normalize);
675
676int redFirstShift (LObject* h,kStrategy strat); // ok
[cb0fbe]677
678ideal freegb(ideal I, int uptodeg, int lVblock);
[1c473f]679
680ideal bbaShift(ideal F, ideal Q,intvec *w,intvec *hilb,kStrategy strat, int uptodeg, int lV);
[57fad3a]681// test syz strategy: // will be removed soon
682extern  int (*test_PosInT)(const TSet T,const int tl,LObject &h);
683extern  int (*test_PosInL)(const LSet set, const int length,
684                LObject* L,const kStrategy strat);
[35aab3]685#endif
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