source: git/kernel/kutil.h @ 4d2ab5c

spielwiese
Last change on this file since 4d2ab5c was 4d2ab5c, checked in by Viktor Levandovskyy <levandov@…>, 16 years ago
*levandov: major update in freegb impl git-svn-id: file:///usr/local/Singular/svn/trunk@10602 2c84dea3-7e68-4137-9b89-c4e89433aadc
  • Property mode set to 100644
File size: 21.3 KB
Line 
1#ifndef KUTIL_H
2#define KUTIL_H
3/****************************************
4*  Computer Algebra System SINGULAR     *
5****************************************/
6/* $Id: kutil.h,v 1.33 2008-02-23 20:12:52 levandov Exp $ */
7/*
8* ABSTRACT: kernel: utils for kStd
9*/
10
11
12#include <string.h>
13#include <mylimits.h>
14
15#include "structs.h"
16#include "omalloc.h"
17#include "ring.h"
18#include "structs.h"
19#include "pShallowCopyDelete.h"
20
21#if 1
22#define setmax 16
23#define setmaxL ((4096-12)/sizeof(LObject))
24#define setmaxLinc ((4096)/sizeof(LObject))
25
26#define setmaxT 64
27#define setmaxTinc 32
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
36// define if you want std computations as in Singular version < 2
37// This disbales RedThrough, tailReductions against T (bba),
38// sets posInT = posInT15 (bba, strat->honey), and enables redFirst with LDeg
39// NOTE: the same effect can be achieved with option(oldStd)
40// #define HAVE_OLD_STD
41
42#ifdef HAVE_OLD_STD
43#define K_TEST_OPT_REDTHROUGH 0
44#define K_TEST_OPT_OLDSTD 1
45#else
46#define K_TEST_OPT_REDTHROUGH TEST_OPT_REDTHROUGH
47#define K_TEST_OPT_OLDSTD     TEST_OPT_OLDSTD
48#endif
49
50#undef NO_KINLINE
51#if !defined(KDEBUG) && !defined(NO_INLINE)
52#define KINLINE inline
53#else
54#define KINLINE
55#define NO_KINLINE 1
56#endif
57
58typedef int* intset;
59typedef int64  wlen_type;
60typedef wlen_type* wlen_set;
61
62typedef class sTObject TObject;
63typedef class sLObject LObject;
64typedef TObject * TSet;
65typedef LObject * LSet;
66
67class sTObject
68{
69public:
70  poly p;       // Lm(p) \in currRing Tail(p) \in tailRing
71  poly t_p;     // t_p \in tailRing: as monomials Lm(t_p) == Lm(p)
72  poly max;     // p_GetMaxExpP(pNext(p))
73  ring tailRing;
74  long FDeg;    // pFDeg(p)
75  int ecart,
76    length,     // as of pLDeg
77    pLength,    // either == 0, or == pLength(p)
78    i_r;        // index of TObject in R set, or -1 if not in T
79  BOOLEAN is_normalized; // true, if pNorm was called on p, false otherwise
80
81  // initialization
82  KINLINE void Init(ring r = currRing);
83  KINLINE sTObject(ring tailRing = currRing);
84  KINLINE sTObject(poly p, ring tailRing = currRing);
85  KINLINE sTObject(poly p, ring c_r, ring tailRing);
86  KINLINE sTObject(sTObject* T, int copy);
87
88  KINLINE void Set(ring r=currRing);
89  KINLINE void Set(poly p_in, ring r=currRing);
90  KINLINE void Set(poly p_in, ring c_r, ring t_r);
91
92  // Frees the polys of T
93  KINLINE void Delete();
94  // Sets polys to NULL
95  KINLINE void Clear();
96  // makes a copy of the poly of T
97  KINLINE void Copy();
98
99  // ring-dependent Lm access: these might result in allocation of monomials
100  KINLINE poly GetLmCurrRing();
101  KINLINE poly GetLmTailRing();
102  KINLINE poly GetLm(ring r);
103  // this returns Lm and ring r (preferably from tailRing), but does not
104  // allocate a new poly
105  KINLINE void GetLm(poly &p, ring &r) const;
106
107#ifdef OLIVER_PRIVAT_LT
108  // routines for calc. with rings
109  KINLINE poly GetLtCurrRing();
110  KINLINE poly GetLtTailRing();
111  KINLINE poly GetLt(ring r);
112  KINLINE void GetLt(poly &p, ring &r) const;
113#endif
114
115  KINLINE BOOLEAN IsNull() const;
116
117  KINLINE int GetpLength();
118
119  // makes sure that T.p exists
120  KINLINE void SetLmCurrRing();
121
122  // Iterations
123  // simply get the next monomial
124  KINLINE poly Next();
125  KINLINE void LmDeleteAndIter();
126
127  // deg stuff
128  // computes pFDeg
129  KINLINE long pFDeg() const;
130  // computes and sets FDeg
131  KINLINE long SetpFDeg();
132  // gets stored FDeg
133  KINLINE long GetpFDeg() const;
134
135  // computes pLDeg
136  KINLINE long pLDeg();
137  // sets length, FDeg, returns LDeg
138  KINLINE long SetDegStuffReturnLDeg();
139
140  // arithmetic
141  KINLINE void Mult_nn(number n);
142  KINLINE void ShallowCopyDelete(ring new_tailRing, omBin new_tailBin,
143                                 pShallowCopyDeleteProc p_shallow_copy_delete,
144                                 BOOLEAN set_max = TRUE);
145  // manipulations
146  KINLINE void pNorm();
147  KINLINE void pCleardenom();
148
149#ifdef KDEBUG
150  void wrp();
151#endif
152};
153
154#ifndef NDEBUG
155extern int strat_nr;
156extern int strat_fac_debug;
157#endif
158
159class sLObject : public sTObject
160{
161
162public:
163  unsigned long sev;
164  poly  p1,p2; /*- the pair p comes from,
165                 lm(pi) in currRing, tail(pi) in tailring -*/
166
167  poly  lcm;   /*- the lcm of p1,p2 -*/
168  poly last;   // pLast(p) during reductions
169  kBucket_pt bucket;
170  int   i_r1, i_r2;
171
172  // initialization
173  KINLINE void Init(ring tailRing = currRing);
174  KINLINE sLObject(ring tailRing = currRing);
175  KINLINE sLObject(poly p, ring tailRing = currRing);
176  KINLINE sLObject(poly p, ring c_r, ring tailRing);
177
178  // Frees the polys of L
179  KINLINE void Delete();
180  KINLINE void Clear();
181
182  // Iterations
183  KINLINE void LmDeleteAndIter();
184  KINLINE poly LmExtractAndIter();
185
186  // spoly related things
187  // preparation for reduction if not spoly
188  KINLINE void PrepareRed(BOOLEAN use_bucket);
189  KINLINE void SetLmTail(poly lm, poly new_p, int length,
190                         int use_bucket, ring r, poly last);
191  KINLINE void Tail_Minus_mm_Mult_qq(poly m, poly qq, int lq, poly spNoether);
192  KINLINE void Tail_Mult_nn(number n);
193  // deletes bucket, makes sure that p and t_p exists
194  KINLINE poly GetP(omBin lmBin = NULL);
195  // similar, except that only t_p exists
196  KINLINE poly GetTP();
197
198  // does not delete bucket, just canonicalizes it
199  // returned poly is such that Lm(p) \in currRing, Tail(p) \in tailRing
200  KINLINE poly CanonicalizeP();
201
202  // makes a copy of the poly of L
203  KINLINE void Copy();
204  // gets the poly and makes a copy of it
205  KINLINE poly CopyGetP();
206
207  KINLINE int GetpLength();
208  KINLINE long pLDeg(BOOLEAN use_last);
209  KINLINE long pLDeg();
210  KINLINE int SetLength(BOOLEAN lengt_pLength = FALSE);
211  KINLINE long SetDegStuffReturnLDeg();
212  KINLINE long SetDegStuffReturnLDeg(BOOLEAN use_last);
213
214  // returns minimal component of p
215  KINLINE long MinComp();
216  // returns component of p
217  KINLINE long Comp();
218
219  KINLINE void ShallowCopyDelete(ring new_tailRing,
220                                 pShallowCopyDeleteProc p_shallow_copy_delete);
221
222  // sets sev
223  KINLINE void SetShortExpVector();
224
225  // enable assignment from TObject
226  KINLINE sLObject& operator=(const sTObject&);
227
228  // get T's corresponding to p1, p2: they might return NULL
229  KINLINE TObject* T_1(const skStrategy* strat);
230  KINLINE TObject* T_2(const skStrategy* strat);
231  KINLINE void     T_1_2(const skStrategy* strat,
232                         TObject* &T_1, TObject* &T_2);
233
234  // simplify coefficients
235  KINLINE void Normalize();
236  KINLINE void HeadNormalize();
237};
238
239
240extern int HCord;
241
242class skStrategy;
243typedef skStrategy * kStrategy;
244class skStrategy
245{
246public:
247  kStrategy next;
248  int (*red)(LObject * L,kStrategy strat);
249  void (*initEcart)(LObject * L);
250  int (*posInT)(const TSet T,const int tl,LObject &h);
251  int (*posInL)(const LSet set, const int length,
252                LObject* L,const kStrategy strat);
253  void (*enterS)(LObject h, int pos,kStrategy strat, int atR/* =-1*/ );
254  void (*initEcartPair)(LObject * h, poly f, poly g, int ecartF, int ecartG);
255  int (*posInLOld)(const LSet Ls,const int Ll,
256                   LObject* Lo,const kStrategy strat);
257  pFDegProc pOrigFDeg;
258  pLDegProc pOrigLDeg;
259  pFDegProc pOrigFDeg_TailRing;
260  pLDegProc pOrigLDeg_TailRing;
261
262  LObject P;
263  ideal Shdl;
264  ideal D; /*V(S) is in D(D)*/
265  ideal M; /*set of minimal generators*/
266  polyset S;
267  intset ecartS;
268  intset lenS;
269  wlen_set lenSw; /* for tgb.ccc */
270  intset fromQ;
271  unsigned long* sevS;
272  unsigned long* sevT;
273  TSet T;
274  LSet L;
275  LSet    B;
276  poly    kHEdge;
277  poly    kNoether;
278  poly    t_kHEdge; // same polys in tailring
279  KINLINE poly    kNoetherTail();
280  poly    t_kNoether;
281  BOOLEAN * NotUsedAxis;
282  BOOLEAN * pairtest;/*used for enterOnePair*/
283  poly tail;
284  leftv kIdeal;
285  intvec * kModW;
286  intvec * kHomW;
287  // procedure for ShalloCopy from tailRing  to currRing
288  pShallowCopyDeleteProc p_shallow_copy_delete;
289  // pointers to Tobjects R[i] is ith Tobject which is generated
290  TObject**  R;
291  // S_2_R[i] yields Tobject which corresponds to S[i]
292  int*      S_2_R;
293  ring tailRing;
294  omBin lmBin;
295  omBin tailBin;
296#ifndef NDEBUG
297  int nr;
298#endif
299  int cp,c3;
300  int sl,mu;
301  int tl,tmax;
302  int Ll,Lmax;
303  int Bl,Bmax;
304  int ak,LazyDegree,LazyPass;
305  int syzComp;
306  int HCord;
307  int lastAxis;
308  int newIdeal;
309  int minim;
310  BOOLEAN interpt;
311  BOOLEAN homog;
312  BOOLEAN kHEdgeFound;
313  BOOLEAN honey,sugarCrit;
314  BOOLEAN Gebauer,noTailReduction;
315  BOOLEAN fromT;
316  BOOLEAN noetherSet;
317  BOOLEAN update;
318  BOOLEAN posInLOldFlag;
319  BOOLEAN use_buckets;
320  BOOLEAN interred_flag;
321  // if set, pLDeg(p, l) == (pFDeg(pLast(p), pLength)
322  BOOLEAN LDegLast;
323  // if set, then L.length == L.pLength
324  BOOLEAN length_pLength;
325  // if set, then posInL does not depend on L.length
326  BOOLEAN posInLDependsOnLength;
327  /*FALSE, if posInL == posInL10*/
328  char    redTailChange;
329  char    news;
330  char    newt;/*used for messageSets*/
331  char    noClearS;
332  char    completeReduce_retry;
333
334  skStrategy();
335  ~skStrategy();
336
337  // return TObject corresponding to S[i]: assume that it exists
338  // i.e. no error checking is done
339  KINLINE TObject* S_2_T(int i);
340  // like S_2_T, except that NULL is returned if it can not be found
341  KINLINE TObject* s_2_t(int i);
342};
343
344void deleteHC(poly *p, int *e, int *l, kStrategy strat);
345void deleteHC(LObject* L, kStrategy strat, BOOLEAN fromNext = FALSE);
346void deleteInS (int i,kStrategy strat);
347void cleanT (kStrategy strat);
348static inline LSet initL ()
349{ return (LSet)omAlloc(setmaxL*sizeof(LObject)); };
350void deleteInL(LSet set, int *length, int j,kStrategy strat);
351void enterL (LSet *set,int *length, int *LSetmax, LObject p,int at);
352void enterSBba (LObject p,int atS,kStrategy strat, int atR = -1);
353void initEcartPairBba (LObject* Lp,poly f,poly g,int ecartF,int ecartG);
354void initEcartPairMora (LObject* Lp,poly f,poly g,int ecartF,int ecartG);
355int posInS (const kStrategy strat, const int length, const poly p, 
356            const int ecart_p);
357int posInT0 (const TSet set,const int length,LObject &p);
358int posInT1 (const TSet set,const int length,LObject &p);
359int posInT2 (const TSet set,const int length,LObject &p);
360int posInT11 (const TSet set,const int length,LObject &p);
361int posInT110 (const TSet set,const int length,LObject &p);
362int posInT13 (const TSet set,const int length,LObject &p);
363int posInT15 (const TSet set,const int length,LObject &p);
364int posInT17 (const TSet set,const int length,LObject &p);
365int posInT19 (const TSet set,const int length,LObject &p);
366int posInT_EcartpLength(const TSet set,const int length,LObject &p);
367
368#ifdef HAVE_MORE_POS_IN_T
369int posInT_EcartFDegpLength(const TSet set,const int length,LObject &p);
370int posInT_FDegpLength(const TSet set,const int length,LObject &p);
371int posInT_pLength(const TSet set,const int length,LObject &p);
372#endif
373
374
375void reorderS (int* suc,kStrategy strat);
376int posInL0 (const LSet set, const int length,
377             LObject* L,const kStrategy strat);
378int posInL11 (const LSet set, const int length,
379             LObject* L,const kStrategy strat);
380int posInL13 (const LSet set, const int length,
381             LObject* L,const kStrategy strat);
382int posInL15 (const LSet set, const int length,
383             LObject* L,const kStrategy strat);
384int posInL17 (const LSet set, const int length,
385             LObject* L,const kStrategy strat);
386int posInL10 (const LSet set, const int length,
387             LObject* L,const kStrategy strat);
388KINLINE poly redtailBba (poly p,int pos,kStrategy strat,BOOLEAN normalize=FALSE);
389poly redtailBba (LObject *L, int pos,kStrategy strat,
390                 BOOLEAN withT = FALSE,BOOLEAN normalize=FALSE);
391poly redtailBba (TObject *T, int pos,kStrategy strat);
392poly redtail (poly p,int pos,kStrategy strat);
393poly redtail (LObject *L,int pos,kStrategy strat);
394poly redNF (poly h,int & max_ind,kStrategy strat);
395int redNF0 (LObject *P,kStrategy strat);
396poly redNFTail (poly h,const int sl,kStrategy strat);
397int redHoney (LObject* h, kStrategy strat);
398#ifdef HAVE_RINGS
399int redRing (LObject* h,kStrategy strat);
400void enterExtendedSpoly(poly h,kStrategy strat);
401void superenterpairs (poly h,int k,int ecart,int pos,kStrategy strat, int atR = -1);
402poly kCreateZeroPoly(long exp[], long cabsind, poly* t_p, ring leadRing, ring tailRing);
403#endif
404#ifdef HAVE_RING2TOM
405long ind2(long arg);
406long ind_fact_2(long arg);
407long twoPow(long arg);
408ideal createG0();
409#endif
410int redLazy (LObject* h,kStrategy strat);
411int redHomog (LObject* h,kStrategy strat);
412void enterpairs (poly h, int k, int ec, int pos,kStrategy strat, int atR = -1);
413void entersets (LObject h);
414void pairs ();
415void message (int i,int* reduc,int* olddeg,kStrategy strat,int red_result);
416void messageStat (int srmax,int lrmax,int hilbcount,kStrategy strat);
417#ifdef KDEBUG
418void messageSets (kStrategy strat);
419#else
420#define messageSets(s)  ((void) 0)
421#endif
422
423void initEcartNormal (LObject* h);
424void initEcartBBA (LObject* h);
425void initS (ideal F, ideal Q,kStrategy strat);
426void initSL (ideal F, ideal Q,kStrategy strat);
427void updateS(BOOLEAN toT,kStrategy strat);
428void enterT (LObject p,kStrategy strat, int atT = -1);
429void cancelunit (LObject* p,BOOLEAN inNF=FALSE);
430void HEckeTest (poly pp,kStrategy strat);
431void initBuchMoraCrit(kStrategy strat);
432void initHilbCrit(ideal F, ideal Q, intvec **hilb,kStrategy strat);
433void initBuchMoraPos(kStrategy strat);
434void initBuchMora (ideal F, ideal Q,kStrategy strat);
435void exitBuchMora (kStrategy strat);
436void updateResult(ideal r,ideal Q,kStrategy strat);
437void completeReduce (kStrategy strat);
438void kFreeStrat(kStrategy strat);
439BOOLEAN homogTest(polyset F, int Fmax);
440BOOLEAN newHEdge(polyset S, kStrategy strat);
441// returns index of p in TSet, or -1 if not found
442int kFindInT(poly p, TSet T, int tlength);
443
444// return -1 if no divisor is found
445//        number of first divisor, otherwise
446int kFindDivisibleByInT(const TSet &T, const unsigned long* sevT,
447                        const int tl, const LObject* L, const int start=0);
448// same with S
449int kFindDivisibleByInS(const kStrategy strat, int *max_ind, LObject* L);
450
451int kFindNextDivisibleByInS(const kStrategy strat, int start,int max_ind, LObject* L);
452TObject*
453kFindDivisibleByInS(kStrategy strat, int pos, LObject* L, TObject *T,
454                    long ecart = LONG_MAX);
455
456/***************************************************************
457 *
458 * stuff to be inlined
459 *
460 ***************************************************************/
461
462KINLINE TSet initT ();
463KINLINE TObject** initR();
464KINLINE unsigned long* initsevT();
465KINLINE poly k_LmInit_currRing_2_tailRing(poly p, ring tailRing, omBin bin);
466KINLINE poly k_LmInit_tailRing_2_currRing(poly p, ring tailRing, omBin bin);
467KINLINE poly k_LmShallowCopyDelete_currRing_2_tailRing(poly p, ring tailRing, omBin bin);
468KINLINE poly k_LmShallowCopyDelete_tailRing_2_currRing(poly p, ring tailRing,  omBin bin);
469
470KINLINE poly k_LmInit_currRing_2_tailRing(poly p, ring tailRing);
471KINLINE poly k_LmInit_tailRing_2_currRing(poly p, ring tailRing);
472KINLINE poly k_LmShallowCopyDelete_currRing_2_tailRing(poly p, ring tailRing);
473KINLINE poly k_LmShallowCopyDelete_tailRing_2_currRing(poly p, ring tailRing);
474
475// if exp bound is not violated, return TRUE and
476//                               get m1 = LCM(LM(p1), LM(p2))/LM(p1)
477//                                   m2 = LCM(LM(p1), LM(p2))/LM(p2)
478// return FALSE and m1 == NULL, m2 == NULL     , otherwise
479KINLINE BOOLEAN k_GetLeadTerms(const poly p1, const poly p2, const ring p_r,
480                               poly &m1, poly &m2, const ring m_r);
481#ifdef HAVE_RINGS
482KINLINE BOOLEAN k_GetStrongLeadTerms(const poly p1, const poly p2, const ring leadRing,
483                               poly &m1, poly &m2, poly &lcm, const ring taiRing);
484#endif
485#ifdef KDEBUG
486// test strat
487BOOLEAN kTest(kStrategy strat);
488// test strat, and test that S is contained in T
489BOOLEAN kTest_TS(kStrategy strat);
490// test LObject
491BOOLEAN kTest_L(LObject* L, ring tailRing = NULL,
492                 BOOLEAN testp = FALSE, int lpos = -1,
493                 TSet T = NULL, int tlength = -1);
494// test TObject
495BOOLEAN kTest_T(TObject* T, ring tailRing = NULL, int tpos = -1, char TN = '?');
496// test set strat->SevS
497BOOLEAN kTest_S(kStrategy strat);
498#else
499#define kTest(A)        ((void)0)
500#define kTest_TS(A)     ((void)0)
501#define kTest_T(T)      ((void)0)
502#define kTest_S(T)      ((void)0)
503#define kTest_L(T)      ((void)0)
504#endif
505
506
507/***************************************************************
508 *
509 * From kstd2.cc
510 *
511 ***************************************************************/
512poly kFindZeroPoly(poly input_p, ring leadRing, ring tailRing);
513ideal bba (ideal F, ideal Q,intvec *w,intvec *hilb,kStrategy strat);
514poly kNF2 (ideal F, ideal Q, poly q, kStrategy strat, int lazyReduce);
515ideal kNF2 (ideal F,ideal Q,ideal q, kStrategy strat, int lazyReduce);
516void initBba(ideal F,kStrategy strat);
517
518/***************************************************************
519 *
520 * From kSpolys.cc
521 *
522 ***************************************************************/
523// Reduces PR with PW
524// Assumes PR != NULL, PW != NULL, Lm(PW) divides Lm(PR)
525// Changes: PR
526// Const:   PW
527// If coef != NULL, then *coef is a/gcd(a,b), where a = LC(PR), b = LC(PW)
528// If strat != NULL, tailRing is changed if reduction would violate exp bound
529// of tailRing
530// Returns: 0 everything ok, no tailRing change
531//          1 tailRing has successfully changed (strat != NULL)
532//          2 no reduction performed, tailRing needs to be changed first
533//            (strat == NULL)
534//         -1 tailRing change could not be performed due to exceeding exp
535//            bound of currRing
536int ksReducePoly(LObject* PR,
537                 TObject* PW,
538                 poly spNoether = NULL,
539                 number *coef = NULL,
540                 kStrategy strat = NULL);
541
542// Reduces PR at Current->next with PW
543// Assumes PR != NULL, Current contained in PR
544//         Current->next != NULL, LM(PW) devides LM(Current->next)
545// Changes: PR
546// Const:   PW
547// Return: see ksReducePoly
548int ksReducePolyTail(LObject* PR,
549                     TObject* PW,
550                     poly Current,
551                     poly spNoether = NULL);
552
553KINLINE int ksReducePolyTail(LObject* PR, TObject* PW, LObject* Red);
554
555// Creates S-Poly of Pair
556// Const:   Pair->p1, Pair->p2
557// Changes: Pair->p == S-Poly of p1, p2
558// Assume:  Pair->p1 != NULL && Pair->p2
559void ksCreateSpoly(LObject* Pair, poly spNoether = NULL,
560                   int use_buckets=0, ring tailRing=currRing,
561                   poly m1 = NULL, poly m2 = NULL, TObject** R = NULL);
562
563/*2
564* creates the leading term of the S-polynomial of p1 and p2
565* do not destroy p1 and p2
566* remarks:
567*   1. the coefficient is 0 (nNew)
568*   2. pNext is undefined
569*/
570poly ksCreateShortSpoly(poly p1, poly p2, ring tailRing);
571
572
573/*
574* input - output: a, b
575* returns:
576*   a := a/gcd(a,b), b := b/gcd(a,b)
577*   and return value
578*       0  ->  a != 1,  b != 1
579*       1  ->  a == 1,  b != 1
580*       2  ->  a != 1,  b == 1
581*       3  ->  a == 1,  b == 1
582*   this value is used to control the spolys
583*/
584int ksCheckCoeff(number *a, number *b);
585
586// old stuff
587KINLINE poly ksOldSpolyRed(poly p1, poly p2, poly spNoether = NULL);
588KINLINE poly ksOldSpolyRedNew(poly p1, poly p2, poly spNoether = NULL);
589KINLINE poly ksOldCreateSpoly(poly p1, poly p2, poly spNoether = NULL, ring r = currRing);
590KINLINE void ksOldSpolyTail(poly p1, poly q, poly q2, poly spNoether, ring r = currRing);
591
592/***************************************************************
593 *
594 * Routines related for ring changes during std computations
595 *
596 ***************************************************************/
597// return TRUE and set m1, m2 to k_GetLcmTerms,
598//             if spoly creation of strat->P does not violate
599//             exponent bound of strat->tailRing
600//      FALSE, otherwise
601BOOLEAN kCheckSpolyCreation(LObject* L, kStrategy strat, poly &m1, poly &m2);
602// change strat->tailRing and adjust all data in strat, L, and T:
603// new tailRing has larger exponent bound
604// do nothing and return FALSE if exponent bound increase would result in
605// larger exponent bound that that of currRing
606BOOLEAN kStratChangeTailRing(kStrategy strat,
607                             LObject* L = NULL, TObject* T = NULL,
608                             // take this as new_expbound: if 0
609                             // new expbound is 2*expbound of tailRing
610                             unsigned long new_expbound = 0);
611// initiate a change of the tailRing of strat -- should be called
612// right before main loop in bba
613void kStratInitChangeTailRing(kStrategy strat);
614
615KINLINE void clearS (poly p, unsigned long p_sev, int* at, int* k,
616  kStrategy strat);
617#include "kInline.cc"
618
619/* shiftgb stuff */
620#include "shiftgb.h"
621
622poly pMove2CurrTail(poly p, kStrategy strat);
623
624poly pMoveCurrTail2poly(poly p, kStrategy strat);
625
626poly pCopyL2p(LObject h, kStrategy strat);
627
628void enterTShift(LObject p, kStrategy strat, int atT, int uptodeg, int lV);
629
630void initBuchMoraShift (ideal F,ideal Q,kStrategy strat);
631
632void enterOnePairManyShifts (int i, poly p, int ecart, int isFromQ, kStrategy strat, int atR, int uptodeg, int lV); // ok
633
634void enterOnePairSelfShifts (poly qq, poly p, int ecart, int isFromQ, kStrategy strat, int atR, int uptodeg, int lV);
635
636void 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
637
638void enterpairsShift (poly h,int k,int ecart,int pos,kStrategy strat, int atR,int uptodeg, int lV);
639
640void initenterpairsShift (poly h,int k,int ecart,int isFromQ,kStrategy strat, int atR,int uptodeg, int lV); 
641
642void updateSShift(kStrategy strat,int uptodeg,int lV);
643
644void initBbaShift(ideal F,kStrategy strat);
645
646poly redtailBbaShift (LObject* L, int pos, kStrategy strat, BOOLEAN withT, BOOLEAN normalize);
647
648int redFirstShift (LObject* h,kStrategy strat); // ok
649
650ideal freegb(ideal I, int uptodeg, int lVblock);
651#endif
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