1 /****************************************
2 * Computer Algebra System SINGULAR *
3 ****************************************/
4 /*
5 * ABSTRACT:
6 */
7
8 // TODO: why the following is here instead of mod2.h???
9
10
11 // define if buckets should be used
12 #define MORA_USE_BUCKETS
13
14 #define PRE_INTEGER_CHECK 0
15
16 #include "kernel/mod2.h"
17
18 #include "misc/options.h"
19 #include "misc/intvec.h"
20
21 #include "polys/weight.h"
22 #include "kernel/polys.h"
23
24 #include "kernel/GBEngine/kutil.h"
25 #include "kernel/GBEngine/kstd1.h"
26 #include "kernel/GBEngine/khstd.h"
27 #include "kernel/combinatorics/stairc.h"
28 #include "kernel/ideals.h"
29
30 //#include "ipprint.h"
31
32 #ifdef HAVE_PLURAL
33 #include "polys/nc/nc.h"
34 #include "polys/nc/sca.h"
35 #include "kernel/GBEngine/nc.h"
36 #endif
37
38 #include "kernel/GBEngine/kInline.h"
39
40 #ifdef HAVE_SHIFTBBA
41 #include "polys/shiftop.h"
42 #endif
43
44 /* the list of all options which give a warning by test */
45 VAR BITSET kOptions=Sy_bit(OPT_PROT) /* 0 */
46 |Sy_bit(OPT_REDSB) /* 1 */
47 |Sy_bit(OPT_NOT_SUGAR) /* 3 */
48 |Sy_bit(OPT_INTERRUPT) /* 4 */
49 |Sy_bit(OPT_SUGARCRIT) /* 5 */
50 |Sy_bit(OPT_REDTHROUGH)
51 |Sy_bit(OPT_OLDSTD)
52 |Sy_bit(OPT_FASTHC) /* 10 */
53 |Sy_bit(OPT_INTSTRATEGY) /* 26 */
54 |Sy_bit(OPT_INFREDTAIL) /* 28 */
55 |Sy_bit(OPT_NOTREGULARITY) /* 30 */
56 |Sy_bit(OPT_WEIGHTM); /* 31 */
57
58 /* the list of all options which may be used by option and test */
59 /* defintion of ALL options: libpolys/misc/options.h */
60 VAR BITSET validOpts=Sy_bit(0)
61 |Sy_bit(1)
62 |Sy_bit(2) // obachman 10/00: replaced by notBucket
63 |Sy_bit(3)
64 |Sy_bit(4)
65 |Sy_bit(5)
66 |Sy_bit(6)
67 // |Sy_bit(7) obachman 11/00 tossed: 12/00 used for redThrough
68 |Sy_bit(7) // OPT_REDTHROUGH
69 |Sy_bit(8) // obachman 11/00 tossed -> motsak 2011 experimental: OPT_NO_SYZ_MINIM
70 |Sy_bit(9)
71 |Sy_bit(10)
72 |Sy_bit(11)
73 |Sy_bit(12)
74 |Sy_bit(13)
75 |Sy_bit(14)
76 |Sy_bit(15)
77 |Sy_bit(16)
78 |Sy_bit(17)
79 |Sy_bit(18)
80 |Sy_bit(19)
81 // |Sy_bit(20) obachman 11/00 tossed: 12/00 used for redOldStd
82 |Sy_bit(OPT_OLDSTD)
83 |Sy_bit(21)
84 |Sy_bit(22)
85 /*|Sy_bit(23)*/
86 /*|Sy_bit(24)*/
87 |Sy_bit(OPT_REDTAIL)
88 |Sy_bit(OPT_INTSTRATEGY)
89 |Sy_bit(27)
90 |Sy_bit(28)
91 |Sy_bit(29)
92 |Sy_bit(30)
93 |Sy_bit(31);
94
95 //static BOOLEAN posInLOldFlag;
96 /*FALSE, if posInL == posInL10*/
97 // returns TRUE if mora should use buckets, false otherwise
98 static BOOLEAN kMoraUseBucket(kStrategy strat);
99
kOptimizeLDeg(pLDegProc ldeg,kStrategy strat)100 static void kOptimizeLDeg(pLDegProc ldeg, kStrategy strat)
101 {
102 // if (strat->ak == 0 && !rIsSyzIndexRing(currRing))
103 strat->length_pLength = TRUE;
104 // else
105 // strat->length_pLength = FALSE;
106
107 if ((ldeg == pLDeg0c /*&& !rIsSyzIndexRing(currRing)*/) ||
108 (ldeg == pLDeg0 && strat->ak == 0))
109 {
110 strat->LDegLast = TRUE;
111 }
112 else
113 {
114 strat->LDegLast = FALSE;
115 }
116 }
117
118
doRed(LObject * h,TObject * with,BOOLEAN intoT,kStrategy strat,bool redMoraNF)119 static int doRed (LObject* h, TObject* with,BOOLEAN intoT,kStrategy strat, bool redMoraNF)
120 {
121 int ret;
122 #if KDEBUG > 0
123 kTest_L(h);
124 kTest_T(with);
125 #endif
126 // Hmmm ... why do we do this -- polys from T should already be normalized
127 if (!TEST_OPT_INTSTRATEGY)
128 with->pNorm();
129 #ifdef KDEBUG
130 if (TEST_OPT_DEBUG)
131 {
132 PrintS("reduce ");h->wrp();PrintS(" with ");with->wrp();PrintLn();
133 }
134 #endif
135 if (intoT)
136 {
137 // need to do it exacly like this: otherwise
138 // we might get errors
139 LObject L= *h;
140 L.Copy();
141 h->GetP();
142 h->length=h->pLength=pLength(h->p);
143 ret = ksReducePoly(&L, with, strat->kNoetherTail(), NULL, NULL, strat);
144 if (ret)
145 {
146 if (ret < 0) return ret;
147 if (h->tailRing != strat->tailRing)
148 h->ShallowCopyDelete(strat->tailRing,
149 pGetShallowCopyDeleteProc(h->tailRing,
150 strat->tailRing));
151 }
152 if(redMoraNF && (rField_is_Ring(currRing)))
153 enterT_strong(*h,strat);
154 else
155 enterT(*h,strat);
156 *h = L;
157 }
158 else
159 ret = ksReducePoly(h, with, strat->kNoetherTail(), NULL, NULL, strat);
160 #ifdef KDEBUG
161 if (TEST_OPT_DEBUG)
162 {
163 PrintS("to ");h->wrp();PrintLn();
164 }
165 #endif
166 return ret;
167 }
168
redEcart(LObject * h,kStrategy strat)169 int redEcart (LObject* h,kStrategy strat)
170 {
171 int i,at,ei,li,ii;
172 int j = 0;
173 int pass = 0;
174 long d,reddeg;
175
176 d = h->GetpFDeg()+ h->ecart;
177 reddeg = strat->LazyDegree+d;
178 h->SetShortExpVector();
179 loop
180 {
181 j = kFindDivisibleByInT(strat, h);
182 if (j < 0)
183 {
184 if (strat->honey) h->SetLength(strat->length_pLength);
185 return 1;
186 }
187
188 ei = strat->T[j].ecart;
189 ii = j;
190
191 if (ei > h->ecart && ii < strat->tl)
192 {
193 li = strat->T[j].length;
194 if (li<=0) li=strat->T[j].GetpLength();
195 // the polynomial to reduce with (up to the moment) is;
196 // pi with ecart ei and length li
197 // look for one with smaller ecart
198 i = j;
199 loop
200 {
201 /*- takes the first possible with respect to ecart -*/
202 i++;
203 #if 1
204 if (i > strat->tl) break;
205 if (strat->T[i].length<=0) strat->T[i].GetpLength();
206 if ((strat->T[i].ecart < ei || (strat->T[i].ecart == ei &&
207 strat->T[i].length < li))
208 &&
209 p_LmShortDivisibleBy(strat->T[i].GetLmTailRing(), strat->sevT[i], h->GetLmTailRing(), ~h->sev, strat->tailRing))
210 #else
211 j = kFindDivisibleByInT(strat, h, i);
212 if (j < 0) break;
213 i = j;
214 if (strat->T[i].ecart < ei || (strat->T[i].ecart == ei &&
215 strat->T[i].length < li))
216 #endif
217 {
218 // the polynomial to reduce with is now
219 ii = i;
220 ei = strat->T[i].ecart;
221 if (ei <= h->ecart) break;
222 li = strat->T[i].length;
223 }
224 }
225 }
226
227 // end of search: have to reduce with pi
228 if (ei > h->ecart)
229 {
230 // It is not possible to reduce h with smaller ecart;
231 // if possible h goes to the lazy-set L,i.e
232 // if its position in L would be not the last one
233 strat->fromT = TRUE;
234 if (!TEST_OPT_REDTHROUGH && strat->Ll >= 0) /*- L is not empty -*/
235 {
236 h->SetLmCurrRing();
237 if (strat->honey && strat->posInLDependsOnLength)
238 h->SetLength(strat->length_pLength);
239 assume(h->FDeg == h->pFDeg());
240 at = strat->posInL(strat->L,strat->Ll,h,strat);
241 if (at <= strat->Ll)
242 {
243 /*- h will not become the next element to reduce -*/
244 enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at);
245 #ifdef KDEBUG
246 if (TEST_OPT_DEBUG) Print(" ecart too big; -> L%d\n",at);
247 #endif
248 h->Clear();
249 strat->fromT = FALSE;
250 return -1;
251 }
252 }
253 }
254
255 // now we finally can reduce
256 doRed(h,&(strat->T[ii]),strat->fromT,strat,FALSE);
257 strat->fromT=FALSE;
258
259 // are we done ???
260 if (h->IsNull())
261 {
262 assume(!rField_is_Ring(currRing));
263 kDeleteLcm(h);
264 h->Clear();
265 return 0;
266 }
267 if (TEST_OPT_IDLIFT)
268 {
269 if (h->p!=NULL)
270 {
271 if(p_GetComp(h->p,currRing)>strat->syzComp)
272 {
273 h->Delete();
274 return 0;
275 }
276 }
277 else if (h->t_p!=NULL)
278 {
279 if(p_GetComp(h->t_p,strat->tailRing)>strat->syzComp)
280 {
281 h->Delete();
282 return 0;
283 }
284 }
285 }
286 #if 0
287 else if ((strat->syzComp > 0)&&(!TEST_OPT_REDTAIL_SYZ))
288 {
289 if (h->p!=NULL)
290 {
291 if(p_GetComp(h->p,currRing)>strat->syzComp)
292 {
293 return 1;
294 }
295 }
296 else if (h->t_p!=NULL)
297 {
298 if(p_GetComp(h->t_p,strat->tailRing)>strat->syzComp)
299 {
300 return 1;
301 }
302 }
303 }
304 #endif
305
306 // done ? NO!
307 h->SetShortExpVector();
308 h->SetpFDeg();
309 if (strat->honey)
310 {
311 if (ei <= h->ecart)
312 h->ecart = d-h->GetpFDeg();
313 else
314 h->ecart = d-h->GetpFDeg()+ei-h->ecart;
315 }
316 else
317 // this has the side effect of setting h->length
318 h->ecart = h->pLDeg(strat->LDegLast) - h->GetpFDeg();
319 #if 0
320 if (strat->syzComp!=0)
321 {
322 if ((strat->syzComp>0) && (h->Comp() > strat->syzComp))
323 {
324 assume(h->MinComp() > strat->syzComp);
325 if (strat->honey) h->SetLength();
326 #ifdef KDEBUG
327 if (TEST_OPT_DEBUG) PrintS(" > syzComp\n");
328 #endif
329 return -2;
330 }
331 }
332 #endif
333 /*- try to reduce the s-polynomial -*/
334 pass++;
335 d = h->GetpFDeg()+h->ecart;
336 /*
337 *test whether the polynomial should go to the lazyset L
338 *-if the degree jumps
339 *-if the number of pre-defined reductions jumps
340 */
341 if (!TEST_OPT_REDTHROUGH && (strat->Ll >= 0)
342 && ((d >= reddeg) || (pass > strat->LazyPass)))
343 {
344 h->SetLmCurrRing();
345 if (strat->honey && strat->posInLDependsOnLength)
346 h->SetLength(strat->length_pLength);
347 assume(h->FDeg == h->pFDeg());
348 at = strat->posInL(strat->L,strat->Ll,h,strat);
349 if (at <= strat->Ll)
350 {
351 int dummy=strat->sl;
352 if (kFindDivisibleByInS(strat, &dummy, h) < 0)
353 {
354 if (strat->honey && !strat->posInLDependsOnLength)
355 h->SetLength(strat->length_pLength);
356 return 1;
357 }
358 enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at);
359 #ifdef KDEBUG
360 if (TEST_OPT_DEBUG) Print(" degree jumped; ->L%d\n",at);
361 #endif
362 h->Clear();
363 return -1;
364 }
365 }
366 else if ((TEST_OPT_PROT) && (strat->Ll < 0) && (d >= reddeg))
367 {
368 Print(".%ld",d);mflush();
369 reddeg = d+1;
370 if (h->pTotalDeg()+h->ecart >= (int)strat->tailRing->bitmask)
371 {
372 strat->overflow=TRUE;
373 //Print("OVERFLOW in redEcart d=%ld, max=%ld",d,strat->tailRing->bitmask);
374 h->GetP();
375 at = strat->posInL(strat->L,strat->Ll,h,strat);
376 enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at);
377 h->Clear();
378 return -1;
379 }
380 }
381 }
382 }
383
384 #ifdef HAVE_RINGS
redRiloc(LObject * h,kStrategy strat)385 int redRiloc (LObject* h,kStrategy strat)
386 {
387 int i,at,ei,li,ii;
388 int j = 0;
389 int pass = 0;
390 long d,reddeg;
391
392 d = h->GetpFDeg()+ h->ecart;
393 reddeg = strat->LazyDegree+d;
394 h->SetShortExpVector();
395 loop
396 {
397 j = kFindDivisibleByInT(strat, h);
398 if (j < 0)
399 {
400 // over ZZ: cleanup coefficients by complete reduction with monomials
401 postReduceByMon(h, strat);
402 if(h->p == NULL)
403 {
404 kDeleteLcm(h);
405 h->Clear();
406 return 0;
407 }
408 if (strat->honey) h->SetLength(strat->length_pLength);
409 if(strat->tl >= 0)
410 h->i_r1 = strat->tl;
411 else
412 h->i_r1 = -1;
413 if (h->GetLmTailRing() == NULL)
414 {
415 kDeleteLcm(h);
416 h->Clear();
417 return 0;
418 }
419 return 1;
420 }
421
422 ei = strat->T[j].ecart;
423 ii = j;
424 if (ei > h->ecart && ii < strat->tl)
425 {
426 li = strat->T[j].length;
427 // the polynomial to reduce with (up to the moment) is;
428 // pi with ecart ei and length li
429 // look for one with smaller ecart
430 i = j;
431 loop
432 {
433 /*- takes the first possible with respect to ecart -*/
434 i++;
435 #if 1
436 if (i > strat->tl) break;
437 if ((strat->T[i].ecart < ei || (strat->T[i].ecart == ei &&
438 strat->T[i].length < li))
439 &&
440 p_LmShortDivisibleBy(strat->T[i].GetLmTailRing(), strat->sevT[i], h->GetLmTailRing(), ~h->sev, strat->tailRing)
441 &&
442 n_DivBy(h->p->coef,strat->T[i].p->coef,strat->tailRing->cf))
443 #else
444 j = kFindDivisibleByInT(strat, h, i);
445 if (j < 0) break;
446 i = j;
447 if (strat->T[i].ecart < ei || (strat->T[i].ecart == ei &&
448 strat->T[i].length < li))
449 #endif
450 {
451 // the polynomial to reduce with is now
452 ii = i;
453 ei = strat->T[i].ecart;
454 if (ei <= h->ecart) break;
455 li = strat->T[i].length;
456 }
457 }
458 }
459
460 // end of search: have to reduce with pi
461 if (ei > h->ecart)
462 {
463 // It is not possible to reduce h with smaller ecart;
464 // if possible h goes to the lazy-set L,i.e
465 // if its position in L would be not the last one
466 strat->fromT = TRUE;
467 if (!TEST_OPT_REDTHROUGH && strat->Ll >= 0) /*- L is not empty -*/
468 {
469 h->SetLmCurrRing();
470 if (strat->honey && strat->posInLDependsOnLength)
471 h->SetLength(strat->length_pLength);
472 assume(h->FDeg == h->pFDeg());
473 at = strat->posInL(strat->L,strat->Ll,h,strat);
474 if (at <= strat->Ll && pLmCmp(h->p, strat->L[strat->Ll].p) != 0 && !nEqual(h->p->coef, strat->L[strat->Ll].p->coef))
475 {
476 /*- h will not become the next element to reduce -*/
477 enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at);
478 #ifdef KDEBUG
479 if (TEST_OPT_DEBUG) Print(" ecart too big; -> L%d\n",at);
480 #endif
481 h->Clear();
482 strat->fromT = FALSE;
483 return -1;
484 }
485 }
486 doRed(h,&(strat->T[ii]),strat->fromT,strat,TRUE);
487 }
488 else
489 {
490 // now we finally can reduce
491 doRed(h,&(strat->T[ii]),strat->fromT,strat,FALSE);
492 }
493 strat->fromT=FALSE;
494 // are we done ???
495 if (h->IsNull())
496 {
497 kDeleteLcm(h);
498 h->Clear();
499 return 0;
500 }
501
502 // NO!
503 h->SetShortExpVector();
504 h->SetpFDeg();
505 if (strat->honey)
506 {
507 if (ei <= h->ecart)
508 h->ecart = d-h->GetpFDeg();
509 else
510 h->ecart = d-h->GetpFDeg()+ei-h->ecart;
511 }
512 else
513 // this has the side effect of setting h->length
514 h->ecart = h->pLDeg(strat->LDegLast) - h->GetpFDeg();
515 /*- try to reduce the s-polynomial -*/
516 pass++;
517 d = h->GetpFDeg()+h->ecart;
518 /*
519 *test whether the polynomial should go to the lazyset L
520 *-if the degree jumps
521 *-if the number of pre-defined reductions jumps
522 */
523 if (!TEST_OPT_REDTHROUGH && (strat->Ll >= 0)
524 && ((d >= reddeg) || (pass > strat->LazyPass)))
525 {
526 h->SetLmCurrRing();
527 if (strat->honey && strat->posInLDependsOnLength)
528 h->SetLength(strat->length_pLength);
529 assume(h->FDeg == h->pFDeg());
530 at = strat->posInL(strat->L,strat->Ll,h,strat);
531 if (at <= strat->Ll)
532 {
533 int dummy=strat->sl;
534 if (kFindDivisibleByInS(strat, &dummy, h) < 0)
535 {
536 if (strat->honey && !strat->posInLDependsOnLength)
537 h->SetLength(strat->length_pLength);
538 return 1;
539 }
540 enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at);
541 #ifdef KDEBUG
542 if (TEST_OPT_DEBUG) Print(" degree jumped; ->L%d\n",at);
543 #endif
544 h->Clear();
545 return -1;
546 }
547 }
548 else if ((TEST_OPT_PROT) && (strat->Ll < 0) && (d >= reddeg))
549 {
550 Print(".%ld",d);mflush();
551 reddeg = d+1;
552 if (h->pTotalDeg()+h->ecart >= (int)strat->tailRing->bitmask)
553 {
554 strat->overflow=TRUE;
555 //Print("OVERFLOW in redEcart d=%ld, max=%ld",d,strat->tailRing->bitmask);
556 h->GetP();
557 at = strat->posInL(strat->L,strat->Ll,h,strat);
558 enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at);
559 h->Clear();
560 return -1;
561 }
562 }
563 }
564 }
565
redRiloc_Z(LObject * h,kStrategy strat)566 int redRiloc_Z (LObject* h,kStrategy strat)
567 {
568 int i,at,ei,li,ii;
569 int j = 0;
570 int pass = 0;
571 long d,reddeg;
572 int docoeffred = 0;
573 poly T0p = strat->T[0].p;
574 int T0ecart = strat->T[0].ecart;
575
576
577 d = h->GetpFDeg()+ h->ecart;
578 reddeg = strat->LazyDegree+d;
579 h->SetShortExpVector();
580 if (strat->T[0].GetpFDeg() == 0 && strat->T[0].length <= 2) {
581 docoeffred = 1;
582 }
583 loop
584 {
585 /* cut down the lead coefficients, only possible if the degree of
586 * T[0] is 0 (constant). This is only efficient if T[0] is short, thus
587 * we ask for the length of T[0] to be <= 2 */
588 if (docoeffred) {
589 j = kTestDivisibleByT0_Z(strat, h);
590 if (j == 0 && n_DivBy(pGetCoeff(h->p), pGetCoeff(T0p), currRing->cf) == FALSE
591 && T0ecart <= h->ecart) {
592 /* not(lc(reducer) | lc(poly)) && not(lc(poly) | lc(reducer))
593 * => we try to cut down the lead coefficient at least */
594 /* first copy T[j] in order to multiply it with a coefficient later on */
595 number mult, rest;
596 TObject tj = strat->T[0];
597 tj.Copy();
598 /* compute division with remainder of lc(h) and lc(T[j]) */
599 mult = n_QuotRem(pGetCoeff(h->p), pGetCoeff(T0p),
600 &rest, currRing->cf);
601 /* set corresponding new lead coefficient already. we do not
602 * remove the lead term in ksReducePolyLC, but only apply
603 * a lead coefficient reduction */
604 tj.Mult_nn(mult);
605 ksReducePolyLC(h, &tj, NULL, &rest, strat);
606 tj.Delete();
607 tj.Clear();
608 }
609 }
610 j = kFindDivisibleByInT(strat, h);
611 if (j < 0)
612 {
613 // over ZZ: cleanup coefficients by complete reduction with monomials
614 postReduceByMon(h, strat);
615 if(h->p == NULL)
616 {
617 kDeleteLcm(h);
618 h->Clear();
619 return 0;
620 }
621 if (strat->honey) h->SetLength(strat->length_pLength);
622 if(strat->tl >= 0)
623 h->i_r1 = strat->tl;
624 else
625 h->i_r1 = -1;
626 if (h->GetLmTailRing() == NULL)
627 {
628 kDeleteLcm(h);
629 h->Clear();
630 return 0;
631 }
632 return 1;
633 }
634
635 ei = strat->T[j].ecart;
636 ii = j;
637 #if 1
638 if (ei > h->ecart && ii < strat->tl)
639 {
640 li = strat->T[j].length;
641 // the polynomial to reduce with (up to the moment) is;
642 // pi with ecart ei and length li
643 // look for one with smaller ecart
644 i = j;
645 loop
646 {
647 /*- takes the first possible with respect to ecart -*/
648 i++;
649 #if 1
650 if (i > strat->tl) break;
651 if ((strat->T[i].ecart < ei || (strat->T[i].ecart == ei &&
652 strat->T[i].length < li))
653 &&
654 p_LmShortDivisibleBy(strat->T[i].GetLmTailRing(), strat->sevT[i], h->GetLmTailRing(), ~h->sev, strat->tailRing)
655 &&
656 n_DivBy(h->p->coef,strat->T[i].p->coef,strat->tailRing->cf))
657 #else
658 j = kFindDivisibleByInT(strat, h, i);
659 if (j < 0) break;
660 i = j;
661 if (strat->T[i].ecart < ei || (strat->T[i].ecart == ei &&
662 strat->T[i].length < li))
663 #endif
664 {
665 // the polynomial to reduce with is now
666 ii = i;
667 ei = strat->T[i].ecart;
668 if (ei <= h->ecart) break;
669 li = strat->T[i].length;
670 }
671 }
672 }
673 #endif
674
675 // end of search: have to reduce with pi
676 if (ei > h->ecart)
677 {
678 // It is not possible to reduce h with smaller ecart;
679 // if possible h goes to the lazy-set L,i.e
680 // if its position in L would be not the last one
681 strat->fromT = TRUE;
682 if (!TEST_OPT_REDTHROUGH && strat->Ll >= 0) /*- L is not empty -*/
683 {
684 h->SetLmCurrRing();
685 if (strat->honey && strat->posInLDependsOnLength)
686 h->SetLength(strat->length_pLength);
687 assume(h->FDeg == h->pFDeg());
688 at = strat->posInL(strat->L,strat->Ll,h,strat);
689 if (at <= strat->Ll && pLmCmp(h->p, strat->L[strat->Ll].p) != 0 && !nEqual(h->p->coef, strat->L[strat->Ll].p->coef))
690 {
691 /*- h will not become the next element to reduce -*/
692 enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at);
693 #ifdef KDEBUG
694 if (TEST_OPT_DEBUG) Print(" ecart too big; -> L%d\n",at);
695 #endif
696 h->Clear();
697 strat->fromT = FALSE;
698 return -1;
699 }
700 }
701 doRed(h,&(strat->T[ii]),strat->fromT,strat,TRUE);
702 }
703 else
704 {
705 // now we finally can reduce
706 doRed(h,&(strat->T[ii]),strat->fromT,strat,FALSE);
707 }
708 strat->fromT=FALSE;
709 // are we done ???
710 if (h->IsNull())
711 {
712 kDeleteLcm(h);
713 h->Clear();
714 return 0;
715 }
716
717 // NO!
718 h->SetShortExpVector();
719 h->SetpFDeg();
720 if (strat->honey)
721 {
722 if (ei <= h->ecart)
723 h->ecart = d-h->GetpFDeg();
724 else
725 h->ecart = d-h->GetpFDeg()+ei-h->ecart;
726 }
727 else
728 // this has the side effect of setting h->length
729 h->ecart = h->pLDeg(strat->LDegLast) - h->GetpFDeg();
730 /*- try to reduce the s-polynomial -*/
731 pass++;
732 d = h->GetpFDeg()+h->ecart;
733 /*
734 *test whether the polynomial should go to the lazyset L
735 *-if the degree jumps
736 *-if the number of pre-defined reductions jumps
737 */
738 if (!TEST_OPT_REDTHROUGH && (strat->Ll >= 0)
739 && ((d >= reddeg) || (pass > strat->LazyPass)))
740 {
741 h->SetLmCurrRing();
742 if (strat->honey && strat->posInLDependsOnLength)
743 h->SetLength(strat->length_pLength);
744 assume(h->FDeg == h->pFDeg());
745 at = strat->posInL(strat->L,strat->Ll,h,strat);
746 if (at <= strat->Ll)
747 {
748 int dummy=strat->sl;
749 if (kFindDivisibleByInS(strat, &dummy, h) < 0)
750 {
751 if (strat->honey && !strat->posInLDependsOnLength)
752 h->SetLength(strat->length_pLength);
753 return 1;
754 }
755 enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at);
756 #ifdef KDEBUG
757 if (TEST_OPT_DEBUG) Print(" degree jumped; ->L%d\n",at);
758 #endif
759 h->Clear();
760 return -1;
761 }
762 }
763 else if ((TEST_OPT_PROT) && (strat->Ll < 0) && (d >= reddeg))
764 {
765 Print(".%ld",d);mflush();
766 reddeg = d+1;
767 if (h->pTotalDeg()+h->ecart >= (int)strat->tailRing->bitmask)
768 {
769 strat->overflow=TRUE;
770 //Print("OVERFLOW in redEcart d=%ld, max=%ld",d,strat->tailRing->bitmask);
771 h->GetP();
772 at = strat->posInL(strat->L,strat->Ll,h,strat);
773 enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at);
774 h->Clear();
775 return -1;
776 }
777 }
778 }
779 }
780 #endif
781
782 /*2
783 *reduces h with elements from T choosing the first possible
784 * element in t with respect to the given pDivisibleBy
785 */
redFirst(LObject * h,kStrategy strat)786 int redFirst (LObject* h,kStrategy strat)
787 {
788 if (strat->tl<0) return 1;
789 if (h->IsNull()) return 0;
790
791 int at;
792 long reddeg,d;
793 int pass = 0;
794 int cnt = RED_CANONICALIZE;
795 int j = 0;
796
797 if (! strat->homog)
798 {
799 d = h->GetpFDeg() + h->ecart;
800 reddeg = strat->LazyDegree+d;
801 }
802 h->SetShortExpVector();
803 loop
804 {
805 j = kFindDivisibleByInT(strat, h);
806 if (j < 0)
807 {
808 h->SetDegStuffReturnLDeg(strat->LDegLast);
809 return 1;
810 }
811
812 if (!TEST_OPT_INTSTRATEGY)
813 strat->T[j].pNorm();
814 #ifdef KDEBUG
815 if (TEST_OPT_DEBUG)
816 {
817 PrintS("reduce ");
818 h->wrp();
819 PrintS(" with ");
820 strat->T[j].wrp();
821 }
822 #endif
823 ksReducePoly(h, &(strat->T[j]), strat->kNoetherTail(), NULL, NULL, strat);
824 #ifdef KDEBUG
825 if (TEST_OPT_DEBUG)
826 {
827 PrintS(" to ");
828 wrp(h->p);
829 PrintLn();
830 }
831 #endif
832 if (h->IsNull())
833 {
834 assume(!rField_is_Ring(currRing));
835 kDeleteLcm(h);
836 h->Clear();
837 return 0;
838 }
839 if (TEST_OPT_IDLIFT)
840 {
841 if (h->p!=NULL)
842 {
843 if(p_GetComp(h->p,currRing)>strat->syzComp)
844 {
845 h->Delete();
846 return 0;
847 }
848 }
849 else if (h->t_p!=NULL)
850 {
851 if(p_GetComp(h->t_p,strat->tailRing)>strat->syzComp)
852 {
853 h->Delete();
854 return 0;
855 }
856 }
857 }
858 #if 0
859 else if ((strat->syzComp > 0)&&(!TEST_OPT_REDTAIL_SYZ))
860 {
861 if (h->p!=NULL)
862 {
863 if(p_GetComp(h->p,currRing)>strat->syzComp)
864 {
865 return 1;
866 }
867 }
868 else if (h->t_p!=NULL)
869 {
870 if(p_GetComp(h->t_p,strat->tailRing)>strat->syzComp)
871 {
872 return 1;
873 }
874 }
875 }
876 #endif
877 h->SetShortExpVector();
878
879 #if 0
880 if ((strat->syzComp!=0) && !strat->honey)
881 {
882 if ((strat->syzComp>0) &&
883 (h->Comp() > strat->syzComp))
884 {
885 assume(h->MinComp() > strat->syzComp);
886 #ifdef KDEBUG
887 if (TEST_OPT_DEBUG) PrintS(" > syzComp\n");
888 #endif
889 if (strat->homog)
890 h->SetDegStuffReturnLDeg(strat->LDegLast);
891 return -2;
892 }
893 }
894 #endif
895 if (!strat->homog)
896 {
897 if (!TEST_OPT_OLDSTD && strat->honey)
898 {
899 h->SetpFDeg();
900 if (strat->T[j].ecart <= h->ecart)
901 h->ecart = d - h->GetpFDeg();
902 else
903 h->ecart = d - h->GetpFDeg() + strat->T[j].ecart - h->ecart;
904
905 d = h->GetpFDeg() + h->ecart;
906 }
907 else
908 d = h->SetDegStuffReturnLDeg(strat->LDegLast);
909 /*- try to reduce the s-polynomial -*/
910 cnt--;
911 pass++;
912 /*
913 *test whether the polynomial should go to the lazyset L
914 *-if the degree jumps
915 *-if the number of pre-defined reductions jumps
916 */
917 if (!TEST_OPT_REDTHROUGH && (strat->Ll >= 0)
918 && ((d >= reddeg) || (pass > strat->LazyPass)))
919 {
920 h->SetLmCurrRing();
921 if (strat->posInLDependsOnLength)
922 h->SetLength(strat->length_pLength);
923 at = strat->posInL(strat->L,strat->Ll,h,strat);
924 if (at <= strat->Ll)
925 {
926 int dummy=strat->sl;
927 if (kFindDivisibleByInS(strat,&dummy, h) < 0)
928 return 1;
929 enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at);
930 #ifdef KDEBUG
931 if (TEST_OPT_DEBUG) Print(" degree jumped; ->L%d\n",at);
932 #endif
933 h->Clear();
934 return -1;
935 }
936 }
937 if (UNLIKELY(cnt==0))
938 {
939 h->CanonicalizeP();
940 cnt=RED_CANONICALIZE;
941 //if (TEST_OPT_PROT) { PrintS("!");mflush(); }
942 }
943 if ((TEST_OPT_PROT) && (strat->Ll < 0) && (d >= reddeg))
944 {
945 reddeg = d+1;
946 Print(".%ld",d);mflush();
947 if (h->pTotalDeg()+h->ecart >= (int)strat->tailRing->bitmask)
948 {
949 strat->overflow=TRUE;
950 //Print("OVERFLOW in redFirst d=%ld, max=%ld",d,strat->tailRing->bitmask);
951 h->GetP();
952 at = strat->posInL(strat->L,strat->Ll,h,strat);
953 enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at);
954 h->Clear();
955 return -1;
956 }
957 }
958 }
959 }
960 }
961
962 /*2
963 * reduces h with elements from T choosing first possible
964 * element in T with respect to the given ecart
965 * used for computing normal forms outside kStd
966 */
redMoraNF(poly h,kStrategy strat,int flag)967 static poly redMoraNF (poly h,kStrategy strat, int flag)
968 {
969 LObject H;
970 H.p = h;
971 int j = 0;
972 int z = 10;
973 int o = H.SetpFDeg();
974 H.ecart = currRing->pLDeg(H.p,&H.length,currRing)-o;
975 if ((flag & 2) == 0) cancelunit(&H,TRUE);
976 H.sev = pGetShortExpVector(H.p);
977 unsigned long not_sev = ~ H.sev;
978 loop
979 {
980 if (j > strat->tl)
981 {
982 return H.p;
983 }
984 if (TEST_V_DEG_STOP)
985 {
986 if (kModDeg(H.p)>Kstd1_deg) pLmDelete(&H.p);
987 if (H.p==NULL) return NULL;
988 }
989 if (p_LmShortDivisibleBy(strat->T[j].GetLmTailRing(), strat->sevT[j], H.GetLmTailRing(), not_sev, strat->tailRing)
990 )
991 {
992 /*- remember the found T-poly -*/
993 // poly pi = strat->T[j].p;
994 int ei = strat->T[j].ecart;
995 int li = strat->T[j].length;
996 int ii = j;
997 /*
998 * the polynomial to reduce with (up to the moment) is;
999 * pi with ecart ei and length li
1000 */
1001 loop
1002 {
1003 /*- look for a better one with respect to ecart -*/
1004 /*- stop, if the ecart is small enough (<=ecart(H)) -*/
1005 j++;
1006 if (j > strat->tl) break;
1007 if (ei <= H.ecart) break;
1008 if (((strat->T[j].ecart < ei)
1009 || ((strat->T[j].ecart == ei)
1010 && (strat->T[j].length < li)))
1011 && pLmShortDivisibleBy(strat->T[j].p,strat->sevT[j], H.p, not_sev)
1012 )
1013 {
1014 /*
1015 * the polynomial to reduce with is now;
1016 */
1017 // pi = strat->T[j].p;
1018 ei = strat->T[j].ecart;
1019 li = strat->T[j].length;
1020 ii = j;
1021 }
1022 }
1023 /*
1024 * end of search: have to reduce with pi
1025 */
1026 z++;
1027 if (z>10)
1028 {
1029 pNormalize(H.p);
1030 z=0;
1031 }
1032 if ((ei > H.ecart) && (!strat->kHEdgeFound))
1033 {
1034 /*
1035 * It is not possible to reduce h with smaller ecart;
1036 * we have to reduce with bad ecart: H has to enter in T
1037 */
1038 doRed(&H,&(strat->T[ii]),TRUE,strat,TRUE);
1039 if (H.p == NULL)
1040 return NULL;
1041 }
1042 else
1043 {
1044 /*
1045 * we reduce with good ecart, h need not to be put to T
1046 */
1047 doRed(&H,&(strat->T[ii]),FALSE,strat,TRUE);
1048 if (H.p == NULL)
1049 return NULL;
1050 }
1051 /*- try to reduce the s-polynomial -*/
1052 o = H.SetpFDeg();
1053 if ((flag &2 ) == 0) cancelunit(&H,TRUE);
1054 H.ecart = currRing->pLDeg(H.p,&(H.length),currRing)-o;
1055 j = 0;
1056 H.sev = pGetShortExpVector(H.p);
1057 not_sev = ~ H.sev;
1058 }
1059 else
1060 {
1061 j++;
1062 }
1063 }
1064 }
1065
1066 #ifdef HAVE_RINGS
redMoraNFRing(poly h,kStrategy strat,int flag)1067 static poly redMoraNFRing (poly h,kStrategy strat, int flag)
1068 {
1069 LObject H;
1070 H.p = h;
1071 int j0, j = 0;
1072 int z = 10;
1073 int docoeffred = 0;
1074 poly T0p = strat->T[0].p;
1075 int T0ecart = strat->T[0].ecart;
1076 int o = H.SetpFDeg();
1077 H.ecart = currRing->pLDeg(H.p,&H.length,currRing)-o;
1078 if ((flag & 2) == 0) cancelunit(&H,TRUE);
1079 H.sev = pGetShortExpVector(H.p);
1080 unsigned long not_sev = ~ H.sev;
1081 if (strat->T[0].GetpFDeg() == 0 && strat->T[0].length <= 2) {
1082 docoeffred = 1;
1083 }
1084 loop
1085 {
1086 /* cut down the lead coefficients, only possible if the degree of
1087 * T[0] is 0 (constant). This is only efficient if T[0] is short, thus
1088 * we ask for the length of T[0] to be <= 2 */
1089 if (docoeffred) {
1090 j0 = kTestDivisibleByT0_Z(strat, &H);
1091 if (j0 == 0 && n_DivBy(pGetCoeff(H.p), pGetCoeff(T0p), currRing->cf) == FALSE
1092 && T0ecart <= H.ecart) {
1093 /* not(lc(reducer) | lc(poly)) && not(lc(poly) | lc(reducer))
1094 * => we try to cut down the lead coefficient at least */
1095 /* first copy T[j0] in order to multiply it with a coefficient later on */
1096 number mult, rest;
1097 TObject tj = strat->T[0];
1098 tj.Copy();
1099 /* compute division with remainder of lc(h) and lc(T[j]) */
1100 mult = n_QuotRem(pGetCoeff(H.p), pGetCoeff(T0p),
1101 &rest, currRing->cf);
1102 /* set corresponding new lead coefficient already. we do not
1103 * remove the lead term in ksReducePolyLC, but only apply
1104 * a lead coefficient reduction */
1105 tj.Mult_nn(mult);
1106 ksReducePolyLC(&H, &tj, NULL, &rest, strat);
1107 tj.Delete();
1108 tj.Clear();
1109 }
1110 }
1111 if (j > strat->tl)
1112 {
1113 return H.p;
1114 }
1115 if (TEST_V_DEG_STOP)
1116 {
1117 if (kModDeg(H.p)>Kstd1_deg) pLmDelete(&H.p);
1118 if (H.p==NULL) return NULL;
1119 }
1120 if (p_LmShortDivisibleBy(strat->T[j].GetLmTailRing(), strat->sevT[j], H.GetLmTailRing(), not_sev, strat->tailRing)
1121 && (n_DivBy(H.p->coef, strat->T[j].p->coef,strat->tailRing->cf))
1122 )
1123 {
1124 /*- remember the found T-poly -*/
1125 // poly pi = strat->T[j].p;
1126 int ei = strat->T[j].ecart;
1127 int li = strat->T[j].length;
1128 int ii = j;
1129 /*
1130 * the polynomial to reduce with (up to the moment) is;
1131 * pi with ecart ei and length li
1132 */
1133 loop
1134 {
1135 /*- look for a better one with respect to ecart -*/
1136 /*- stop, if the ecart is small enough (<=ecart(H)) -*/
1137 j++;
1138 if (j > strat->tl) break;
1139 if (ei <= H.ecart) break;
1140 if (((strat->T[j].ecart < ei)
1141 || ((strat->T[j].ecart == ei)
1142 && (strat->T[j].length < li)))
1143 && pLmShortDivisibleBy(strat->T[j].p,strat->sevT[j], H.p, not_sev)
1144 && (n_DivBy(H.p->coef, strat->T[j].p->coef,strat->tailRing->cf))
1145 )
1146 {
1147 /*
1148 * the polynomial to reduce with is now;
1149 */
1150 // pi = strat->T[j].p;
1151 ei = strat->T[j].ecart;
1152 li = strat->T[j].length;
1153 ii = j;
1154 }
1155 }
1156 /*
1157 * end of search: have to reduce with pi
1158 */
1159 z++;
1160 if (z>10)
1161 {
1162 pNormalize(H.p);
1163 z=0;
1164 }
1165 if ((ei > H.ecart) && (!strat->kHEdgeFound))
1166 {
1167 /*
1168 * It is not possible to reduce h with smaller ecart;
1169 * we have to reduce with bad ecart: H has to enter in T
1170 */
1171 doRed(&H,&(strat->T[ii]),TRUE,strat,TRUE);
1172 if (H.p == NULL)
1173 return NULL;
1174 }
1175 else
1176 {
1177 /*
1178 * we reduce with good ecart, h need not to be put to T
1179 */
1180 doRed(&H,&(strat->T[ii]),FALSE,strat,TRUE);
1181 if (H.p == NULL)
1182 return NULL;
1183 }
1184 /*- try to reduce the s-polynomial -*/
1185 o = H.SetpFDeg();
1186 if ((flag &2 ) == 0) cancelunit(&H,TRUE);
1187 H.ecart = currRing->pLDeg(H.p,&(H.length),currRing)-o;
1188 j = 0;
1189 H.sev = pGetShortExpVector(H.p);
1190 not_sev = ~ H.sev;
1191 }
1192 else
1193 {
1194 j++;
1195 }
1196 }
1197 }
1198 #endif
1199
1200 /*2
1201 *reorders L with respect to posInL
1202 */
reorderL(kStrategy strat)1203 void reorderL(kStrategy strat)
1204 {
1205 int i,j,at;
1206 LObject p;
1207
1208 for (i=1; i<=strat->Ll; i++)
1209 {
1210 at = strat->posInL(strat->L,i-1,&(strat->L[i]),strat);
1211 if (at != i)
1212 {
1213 p = strat->L[i];
1214 for (j=i-1; j>=at; j--) strat->L[j+1] = strat->L[j];
1215 strat->L[at] = p;
1216 }
1217 }
1218 }
1219
1220 /*2
1221 *reorders T with respect to length
1222 */
reorderT(kStrategy strat)1223 void reorderT(kStrategy strat)
1224 {
1225 int i,j,at;
1226 TObject p;
1227 unsigned long sev;
1228
1229
1230 for (i=1; i<=strat->tl; i++)
1231 {
1232 if (strat->T[i-1].length > strat->T[i].length)
1233 {
1234 p = strat->T[i];
1235 sev = strat->sevT[i];
1236 at = i-1;
1237 loop
1238 {
1239 at--;
1240 if (at < 0) break;
1241 if (strat->T[i].length > strat->T[at].length) break;
1242 }
1243 for (j = i-1; j>at; j--)
1244 {
1245 strat->T[j+1]=strat->T[j];
1246 strat->sevT[j+1]=strat->sevT[j];
1247 strat->R[strat->T[j+1].i_r] = &(strat->T[j+1]);
1248 }
1249 strat->T[at+1]=p;
1250 strat->sevT[at+1] = sev;
1251 strat->R[p.i_r] = &(strat->T[at+1]);
1252 }
1253 }
1254 }
1255
1256 /*2
1257 *looks whether exactly (currRing->N)-1 axis are used
1258 *returns last != 0 in this case
1259 *last is the (first) unused axis
1260 */
missingAxis(int * last,kStrategy strat)1261 void missingAxis (int* last,kStrategy strat)
1262 {
1263 int i = 0;
1264 int k = 0;
1265
1266 *last = 0;
1267 if (!rHasMixedOrdering(currRing))
1268 {
1269 loop
1270 {
1271 i++;
1272 if (i > (currRing->N)) break;
1273 if (strat->NotUsedAxis[i])
1274 {
1275 *last = i;
1276 k++;
1277 }
1278 if (k>1)
1279 {
1280 *last = 0;
1281 break;
1282 }
1283 }
1284 }
1285 }
1286
1287 /*2
1288 *last is the only non used axis, it looks
1289 *for a monomial in p being a pure power of this
1290 *variable and returns TRUE in this case
1291 *(*length) gives the length between the pure power and the leading term
1292 *(should be minimal)
1293 */
hasPurePower(const poly p,int last,int * length,kStrategy strat)1294 BOOLEAN hasPurePower (const poly p,int last, int *length,kStrategy strat)
1295 {
1296 poly h;
1297 int i;
1298
1299 if (pNext(p) == strat->tail)
1300 return FALSE;
1301 pp_Test(p, currRing, strat->tailRing);
1302 if (strat->ak <= 0 || p_MinComp(p, currRing, strat->tailRing) == strat->ak)
1303 {
1304 i = p_IsPurePower(p, currRing);
1305 if (rField_is_Ring(currRing) && (!n_IsUnit(pGetCoeff(p), currRing->cf))) i=0;
1306 if (i == last)
1307 {
1308 *length = 0;
1309 return TRUE;
1310 }
1311 *length = 1;
1312 h = pNext(p);
1313 while (h != NULL)
1314 {
1315 i = p_IsPurePower(h, strat->tailRing);
1316 if (rField_is_Ring(currRing) && (!n_IsUnit(pGetCoeff(h), currRing->cf))) i=0;
1317 if (i==last) return TRUE;
1318 (*length)++;
1319 pIter(h);
1320 }
1321 }
1322 return FALSE;
1323 }
1324
hasPurePower(LObject * L,int last,int * length,kStrategy strat)1325 BOOLEAN hasPurePower (LObject *L,int last, int *length,kStrategy strat)
1326 {
1327 if (L->bucket != NULL)
1328 {
1329 poly p = L->GetP();
1330 return hasPurePower(p, last, length, strat);
1331 }
1332 else
1333 {
1334 return hasPurePower(L->p, last, length, strat);
1335 }
1336 }
1337
1338 /*2
1339 * looks up the position of polynomial p in L
1340 * in the case of looking for the pure powers
1341 */
posInL10(const LSet set,const int length,LObject * p,const kStrategy strat)1342 int posInL10 (const LSet set,const int length, LObject* p,const kStrategy strat)
1343 {
1344 int j,dp,dL;
1345
1346 if (length<0) return 0;
1347 if (hasPurePower(p,strat->lastAxis,&dp,strat))
1348 {
1349 int op= p->GetpFDeg() +p->ecart;
1350 for (j=length; j>=0; j--)
1351 {
1352 if (!hasPurePower(&(set[j]),strat->lastAxis,&dL,strat))
1353 return j+1;
1354 if (dp < dL)
1355 return j+1;
1356 if ((dp == dL)
1357 && (set[j].GetpFDeg()+set[j].ecart >= op))
1358 return j+1;
1359 }
1360 }
1361 j=length;
1362 loop
1363 {
1364 if (j<0) break;
1365 if (!hasPurePower(&(set[j]),strat->lastAxis,&dL,strat)) break;
1366 j--;
1367 }
1368 return strat->posInLOld(set,j,p,strat);
1369 }
1370
1371
1372 /*2
1373 * computes the s-polynomials L[ ].p in L
1374 */
updateL(kStrategy strat)1375 void updateL(kStrategy strat)
1376 {
1377 LObject p;
1378 int dL;
1379 int j=strat->Ll;
1380 loop
1381 {
1382 if (j<0) break;
1383 if (hasPurePower(&(strat->L[j]),strat->lastAxis,&dL,strat))
1384 {
1385 p=strat->L[strat->Ll];
1386 strat->L[strat->Ll]=strat->L[j];
1387 strat->L[j]=p;
1388 break;
1389 }
1390 j--;
1391 }
1392 if (j<0)
1393 {
1394 j=strat->Ll;
1395 loop
1396 {
1397 if (j<0) break;
1398 if (pNext(strat->L[j].p) == strat->tail)
1399 {
1400 if (rField_is_Ring(currRing))
1401 pLmDelete(strat->L[j].p); /*deletes the short spoly and computes*/
1402 else
1403 pLmFree(strat->L[j].p); /*deletes the short spoly and computes*/
1404 strat->L[j].p = NULL;
1405 poly m1 = NULL, m2 = NULL;
1406 // check that spoly creation is ok
1407 while (strat->tailRing != currRing &&
1408 !kCheckSpolyCreation(&(strat->L[j]), strat, m1, m2))
1409 {
1410 assume(m1 == NULL && m2 == NULL);
1411 // if not, change to a ring where exponents are at least
1412 // large enough
1413 kStratChangeTailRing(strat);
1414 }
1415 /* create the real one */
1416 ksCreateSpoly(&(strat->L[j]), strat->kNoetherTail(), FALSE,
1417 strat->tailRing, m1, m2, strat->R);
1418
1419 strat->L[j].SetLmCurrRing();
1420 if (!strat->honey)
1421 strat->initEcart(&strat->L[j]);
1422 else
1423 strat->L[j].SetLength(strat->length_pLength);
1424
1425 BOOLEAN pp = hasPurePower(&(strat->L[j]),strat->lastAxis,&dL,strat);
1426
1427 if (strat->use_buckets) strat->L[j].PrepareRed(TRUE);
1428
1429 if (pp)
1430 {
1431 p=strat->L[strat->Ll];
1432 strat->L[strat->Ll]=strat->L[j];
1433 strat->L[j]=p;
1434 break;
1435 }
1436 }
1437 j--;
1438 }
1439 }
1440 }
1441
1442 /*2
1443 * computes the s-polynomials L[ ].p in L and
1444 * cuts elements in L above noether
1445 */
updateLHC(kStrategy strat)1446 void updateLHC(kStrategy strat)
1447 {
1448
1449 int i = 0;
1450 kTest_TS(strat);
1451 while (i <= strat->Ll)
1452 {
1453 if (pNext(strat->L[i].p) == strat->tail)
1454 {
1455 /*- deletes the int spoly and computes -*/
1456 if (pLmCmp(strat->L[i].p,strat->kNoether) == -1)
1457 {
1458 if (rField_is_Ring(currRing))
1459 pLmDelete(strat->L[i].p);
1460 else
1461 pLmFree(strat->L[i].p);
1462 strat->L[i].p = NULL;
1463 }
1464 else
1465 {
1466 if (rField_is_Ring(currRing))
1467 pLmDelete(strat->L[i].p);
1468 else
1469 pLmFree(strat->L[i].p);
1470 strat->L[i].p = NULL;
1471 poly m1 = NULL, m2 = NULL;
1472 // check that spoly creation is ok
1473 while (strat->tailRing != currRing &&
1474 !kCheckSpolyCreation(&(strat->L[i]), strat, m1, m2))
1475 {
1476 assume(m1 == NULL && m2 == NULL);
1477 // if not, change to a ring where exponents are at least
1478 // large enough
1479 kStratChangeTailRing(strat);
1480 }
1481 /* create the real one */
1482 ksCreateSpoly(&(strat->L[i]), strat->kNoetherTail(), FALSE,
1483 strat->tailRing, m1, m2, strat->R);
1484 if (! strat->L[i].IsNull())
1485 {
1486 strat->L[i].SetLmCurrRing();
1487 strat->L[i].SetpFDeg();
1488 strat->L[i].ecart
1489 = strat->L[i].pLDeg(strat->LDegLast) - strat->L[i].GetpFDeg();
1490 if (strat->use_buckets) strat->L[i].PrepareRed(TRUE);
1491 }
1492 }
1493 }
1494 else
1495 deleteHC(&(strat->L[i]), strat);
1496 if (strat->L[i].IsNull())
1497 deleteInL(strat->L,&strat->Ll,i,strat);
1498 else
1499 {
1500 #ifdef KDEBUG
1501 kTest_L(&(strat->L[i]), strat->tailRing, TRUE, i, strat->T, strat->tl);
1502 #endif
1503 i++;
1504 }
1505 }
1506 kTest_TS(strat);
1507 }
1508
1509 /*2
1510 * cuts in T above strat->kNoether and tries to cancel a unit
1511 * changes also S as S is a subset of T
1512 */
updateT(kStrategy strat)1513 void updateT(kStrategy strat)
1514 {
1515 int i = 0;
1516 LObject p;
1517
1518 while (i <= strat->tl)
1519 {
1520 p = strat->T[i];
1521 deleteHC(&p,strat, TRUE);
1522 /*- tries to cancel a unit: -*/
1523 cancelunit(&p);
1524 if (TEST_OPT_INTSTRATEGY) /* deleteHC and/or cancelunit may have changed p*/
1525 p.pCleardenom();
1526 if (p.p != strat->T[i].p)
1527 {
1528 strat->sevT[i] = pGetShortExpVector(p.p);
1529 p.SetpFDeg();
1530 }
1531 strat->T[i] = p;
1532 i++;
1533 }
1534 }
1535
1536 /*2
1537 * arranges red, pos and T if strat->kHEdgeFound (first time)
1538 */
firstUpdate(kStrategy strat)1539 void firstUpdate(kStrategy strat)
1540 {
1541 if (strat->update)
1542 {
1543 kTest_TS(strat);
1544 strat->update = (strat->tl == -1);
1545 if (TEST_OPT_WEIGHTM)
1546 {
1547 pRestoreDegProcs(currRing,strat->pOrigFDeg, strat->pOrigLDeg);
1548 if (strat->tailRing != currRing)
1549 {
1550 strat->tailRing->pFDeg = strat->pOrigFDeg_TailRing;
1551 strat->tailRing->pLDeg = strat->pOrigLDeg_TailRing;
1552 }
1553 int i;
1554 for (i=strat->Ll; i>=0; i--)
1555 {
1556 strat->L[i].SetpFDeg();
1557 }
1558 for (i=strat->tl; i>=0; i--)
1559 {
1560 strat->T[i].SetpFDeg();
1561 }
1562 if (ecartWeights)
1563 {
1564 omFreeSize((ADDRESS)ecartWeights,(rVar(currRing)+1)*sizeof(short));
1565 ecartWeights=NULL;
1566 }
1567 }
1568 if (TEST_OPT_FASTHC)
1569 {
1570 strat->posInL = strat->posInLOld;
1571 strat->lastAxis = 0;
1572 }
1573 if (TEST_OPT_FINDET)
1574 return;
1575
1576 if ( (!rField_is_Ring(currRing)) || (rHasGlobalOrdering(currRing)))
1577 {
1578 strat->red = redFirst;
1579 strat->use_buckets = kMoraUseBucket(strat);
1580 }
1581 updateT(strat);
1582
1583 if ( (!rField_is_Ring(currRing)) || (rHasGlobalOrdering(currRing)))
1584 {
1585 strat->posInT = posInT2;
1586 reorderT(strat);
1587 }
1588 }
1589 kTest_TS(strat);
1590 }
1591
1592 /*2
1593 *-puts p to the standardbasis s at position at
1594 *-reduces the tail of p if TEST_OPT_REDTAIL
1595 *-tries to cancel a unit
1596 *-HEckeTest
1597 * if TRUE
1598 * - decides about reduction-strategies
1599 * - computes noether
1600 * - stops computation if TEST_OPT_FINDET
1601 * - cuts the tails of the polynomials
1602 * in s,t and the elements in L above noether
1603 * and cancels units if possible
1604 * - reorders s,L
1605 */
enterSMora(LObject & p,int atS,kStrategy strat,int atR=-1)1606 void enterSMora (LObject &p,int atS,kStrategy strat, int atR = -1)
1607 {
1608 enterSBba(p, atS, strat, atR);
1609 #ifdef KDEBUG
1610 if (TEST_OPT_DEBUG)
1611 {
1612 Print("new s%d:",atS);
1613 p_wrp(p.p,currRing,strat->tailRing);
1614 PrintLn();
1615 }
1616 #endif
1617 if ((!strat->kHEdgeFound) || (strat->kNoether!=NULL)) HEckeTest(p.p,strat);
1618 if (strat->kHEdgeFound)
1619 {
1620 if (newHEdge(strat))
1621 {
1622 firstUpdate(strat);
1623 if (TEST_OPT_FINDET)
1624 return;
1625
1626 /*- cuts elements in L above noether and reorders L -*/
1627 updateLHC(strat);
1628 /*- reorders L with respect to posInL -*/
1629 reorderL(strat);
1630 }
1631 }
1632 else if (strat->kNoether!=NULL)
1633 strat->kHEdgeFound = TRUE;
1634 else if (TEST_OPT_FASTHC)
1635 {
1636 if (strat->posInLOldFlag)
1637 {
1638 missingAxis(&strat->lastAxis,strat);
1639 if (strat->lastAxis)
1640 {
1641 strat->posInLOld = strat->posInL;
1642 strat->posInLOldFlag = FALSE;
1643 strat->posInL = posInL10;
1644 strat->posInLDependsOnLength = TRUE;
1645 updateL(strat);
1646 reorderL(strat);
1647 }
1648 }
1649 else if (strat->lastAxis)
1650 updateL(strat);
1651 }
1652 }
1653
1654 /*2
1655 *-puts p to the standardbasis s at position at
1656 *-HEckeTest
1657 * if TRUE
1658 * - computes noether
1659 */
enterSMoraNF(LObject & p,int atS,kStrategy strat,int atR=-1)1660 void enterSMoraNF (LObject &p, int atS,kStrategy strat, int atR = -1)
1661 {
1662 enterSBba(p, atS, strat, atR);
1663 if ((!strat->kHEdgeFound) || (strat->kNoether!=NULL)) HEckeTest(p.p,strat);
1664 if (strat->kHEdgeFound)
1665 newHEdge(strat);
1666 else if (strat->kNoether!=NULL)
1667 strat->kHEdgeFound = TRUE;
1668 }
1669
initBba(kStrategy strat)1670 void initBba(kStrategy strat)
1671 {
1672 /* setting global variables ------------------- */
1673 strat->enterS = enterSBba;
1674 strat->red = redHoney;
1675 if (strat->honey)
1676 strat->red = redHoney;
1677 else if (currRing->pLexOrder && !strat->homog)
1678 strat->red = redLazy;
1679 else
1680 {
1681 strat->LazyPass *=4;
1682 strat->red = redHomog;
1683 }
1684 if (rField_is_Ring(currRing))
1685 {
1686 if (rField_is_Z(currRing))
1687 strat->red = redRing_Z;
1688 else
1689 strat->red = redRing;
1690 }
1691 if (TEST_OPT_IDLIFT)
1692 strat->red=redLiftstd;
1693 if (currRing->pLexOrder && strat->honey)
1694 strat->initEcart = initEcartNormal;
1695 else
1696 strat->initEcart = initEcartBBA;
1697 if (strat->honey)
1698 strat->initEcartPair = initEcartPairMora;
1699 else
1700 strat->initEcartPair = initEcartPairBba;
1701 // if ((TEST_OPT_WEIGHTM)&&(F!=NULL))
1702 // {
1703 // //interred machen Aenderung
1704 // strat->pOrigFDeg=pFDeg;
1705 // strat->pOrigLDeg=pLDeg;
1706 // //h=ggetid("ecart");
1707 // //if ((h!=NULL) /*&& (IDTYP(h)==INTVEC_CMD)*/)
1708 // //{
1709 // // ecartWeights=iv2array(IDINTVEC(h));
1710 // //}
1711 // //else
1712 // {
1713 // ecartWeights=(short *)omAlloc(((currRing->N)+1)*sizeof(short));
1714 // /*uses automatic computation of the ecartWeights to set them*/
1715 // kEcartWeights(F->m,IDELEMS(F)-1,ecartWeights);
1716 // }
1717 // pRestoreDegProcs(currRing,totaldegreeWecart, maxdegreeWecart);
1718 // if (TEST_OPT_PROT)
1719 // {
1720 // for(i=1; i<=(currRing->N); i++)
1721 // Print(" %d",ecartWeights[i]);
1722 // PrintLn();
1723 // mflush();
1724 // }
1725 // }
1726 }
1727
initSba(ideal F,kStrategy strat)1728 void initSba(ideal F,kStrategy strat)
1729 {
1730 int i;
1731 //idhdl h;
1732 /* setting global variables ------------------- */
1733 strat->enterS = enterSSba;
1734 strat->red2 = redHoney;
1735 if (strat->honey)
1736 strat->red2 = redHoney;
1737 else if (currRing->pLexOrder && !strat->homog)
1738 strat->red2 = redLazy;
1739 else
1740 {
1741 strat->LazyPass *=4;
1742 strat->red2 = redHomog;
1743 }
1744 if (rField_is_Ring(currRing))
1745 {
1746 if(rHasLocalOrMixedOrdering(currRing))
1747 {strat->red2 = redRiloc;}
1748 else
1749 {strat->red2 = redRing;}
1750 }
1751 if (currRing->pLexOrder && strat->honey)
1752 strat->initEcart = initEcartNormal;
1753 else
1754 strat->initEcart = initEcartBBA;
1755 if (strat->honey)
1756 strat->initEcartPair = initEcartPairMora;
1757 else
1758 strat->initEcartPair = initEcartPairBba;
1759 //strat->kIdeal = NULL;
1760 //if (strat->ak==0) strat->kIdeal->rtyp=IDEAL_CMD;
1761 //else strat->kIdeal->rtyp=MODUL_CMD;
1762 //strat->kIdeal->data=(void *)strat->Shdl;
1763 if ((TEST_OPT_WEIGHTM)&&(F!=NULL))
1764 {
1765 //interred machen Aenderung
1766 strat->pOrigFDeg = currRing->pFDeg;
1767 strat->pOrigLDeg = currRing->pLDeg;
1768 //h=ggetid("ecart");
1769 //if ((h!=NULL) /*&& (IDTYP(h)==INTVEC_CMD)*/)
1770 //{
1771 // ecartWeights=iv2array(IDINTVEC(h));
1772 //}
1773 //else
1774 {
1775 ecartWeights=(short *)omAlloc(((currRing->N)+1)*sizeof(short));
1776 /*uses automatic computation of the ecartWeights to set them*/
1777 kEcartWeights(F->m,IDELEMS(F)-1,ecartWeights, currRing);
1778 }
1779 pRestoreDegProcs(currRing, totaldegreeWecart, maxdegreeWecart);
1780 if (TEST_OPT_PROT)
1781 {
1782 for(i=1; i<=(currRing->N); i++)
1783 Print(" %d",ecartWeights[i]);
1784 PrintLn();
1785 mflush();
1786 }
1787 }
1788 // for sig-safe reductions in signature-based
1789 // standard basis computations
1790 if(rField_is_Ring(currRing))
1791 strat->red = redSigRing;
1792 else
1793 strat->red = redSig;
1794 //strat->sbaOrder = 1;
1795 strat->currIdx = 1;
1796 }
1797
initMora(ideal F,kStrategy strat)1798 void initMora(ideal F,kStrategy strat)
1799 {
1800 int i,j;
1801
1802 strat->NotUsedAxis = (BOOLEAN *)omAlloc(((currRing->N)+1)*sizeof(BOOLEAN));
1803 for (j=(currRing->N); j>0; j--) strat->NotUsedAxis[j] = TRUE;
1804 strat->enterS = enterSMora;
1805 strat->initEcartPair = initEcartPairMora; /*- ecart approximation -*/
1806 strat->posInLOld = strat->posInL;
1807 strat->posInLOldFlag = TRUE;
1808 strat->initEcart = initEcartNormal;
1809 strat->kHEdgeFound = (currRing->ppNoether) != NULL;
1810 if ( strat->kHEdgeFound )
1811 strat->kNoether = pCopy((currRing->ppNoether));
1812 else if (strat->kHEdgeFound || strat->homog)
1813 strat->red = redFirst; /*take the first possible in T*/
1814 else
1815 strat->red = redEcart;/*take the first possible in under ecart-restriction*/
1816 if (strat->kHEdgeFound)
1817 {
1818 strat->HCord = currRing->pFDeg((currRing->ppNoether),currRing)+1;
1819 strat->posInT = posInT2;
1820 }
1821 else
1822 {
1823 strat->HCord = 32000;/*- very large -*/
1824 }
1825
1826 if (rField_is_Ring(currRing)) {
1827 if (rField_is_Z(currRing))
1828 strat->red = redRiloc_Z;
1829 else
1830 strat->red = redRiloc;
1831 }
1832
1833 /*reads the ecartWeights used for Graebes method from the
1834 *intvec ecart and set ecartWeights
1835 */
1836 if ((TEST_OPT_WEIGHTM)&&(F!=NULL))
1837 {
1838 //interred machen Aenderung
1839 strat->pOrigFDeg=currRing->pFDeg;
1840 strat->pOrigLDeg=currRing->pLDeg;
1841 ecartWeights=(short *)omAlloc(((currRing->N)+1)*sizeof(short));
1842 /*uses automatic computation of the ecartWeights to set them*/
1843 kEcartWeights(F->m,IDELEMS(F)-1,ecartWeights,currRing);
1844
1845 pSetDegProcs(currRing,totaldegreeWecart, maxdegreeWecart);
1846 if (TEST_OPT_PROT)
1847 {
1848 for(i=1; i<=(currRing->N); i++)
1849 Print(" %d",ecartWeights[i]);
1850 PrintLn();
1851 mflush();
1852 }
1853 }
1854 kOptimizeLDeg(currRing->pLDeg, strat);
1855 }
1856
1857 void kDebugPrint(kStrategy strat);
1858
mora(ideal F,ideal Q,intvec * w,intvec * hilb,kStrategy strat)1859 ideal mora (ideal F, ideal Q,intvec *w,intvec *hilb,kStrategy strat)
1860 {
1861 int olddeg = 0;
1862 int reduc = 0;
1863 int red_result = 1;
1864 int hilbeledeg=1,hilbcount=0;
1865 BITSET save1;
1866 SI_SAVE_OPT1(save1);
1867 if (rHasMixedOrdering(currRing))
1868 {
1869 si_opt_1 &= ~Sy_bit(OPT_REDSB);
1870 si_opt_1 &= ~Sy_bit(OPT_REDTAIL);
1871 }
1872
1873 strat->update = TRUE;
1874 /*- setting global variables ------------------- -*/
1875 initBuchMoraCrit(strat);
1876 initHilbCrit(F,Q,&hilb,strat);
1877 initMora(F,strat);
1878 if(rField_is_Ring(currRing))
1879 initBuchMoraPosRing(strat);
1880 else
1881 initBuchMoraPos(strat);
1882 /*Shdl=*/initBuchMora(F,Q,strat);
1883 if (TEST_OPT_FASTHC) missingAxis(&strat->lastAxis,strat);
1884 /*updateS in initBuchMora has Hecketest
1885 * and could have put strat->kHEdgdeFound FALSE*/
1886 if ((currRing->ppNoether)!=NULL)
1887 {
1888 strat->kHEdgeFound = TRUE;
1889 }
1890 if (strat->kHEdgeFound && strat->update)
1891 {
1892 firstUpdate(strat);
1893 updateLHC(strat);
1894 reorderL(strat);
1895 }
1896 if (TEST_OPT_FASTHC && (strat->lastAxis) && strat->posInLOldFlag)
1897 {
1898 strat->posInLOld = strat->posInL;
1899 strat->posInLOldFlag = FALSE;
1900 strat->posInL = posInL10;
1901 updateL(strat);
1902 reorderL(strat);
1903 }
1904 kTest_TS(strat);
1905 strat->use_buckets = kMoraUseBucket(strat);
1906
1907 #ifdef HAVE_TAIL_RING
1908 if (strat->homog && strat->red == redFirst)
1909 if(!idIs0(F) &&(!rField_is_Ring(currRing)))
1910 kStratInitChangeTailRing(strat);
1911 #endif
1912
1913 if (BVERBOSE(23))
1914 {
1915 kDebugPrint(strat);
1916 }
1917 //deleteInL(strat->L,&strat->Ll,1,strat);
1918 //deleteInL(strat->L,&strat->Ll,0,strat);
1919
1920 /*- compute-------------------------------------------*/
1921 while (strat->Ll >= 0)
1922 {
1923 #ifdef KDEBUG
1924 if (TEST_OPT_DEBUG) messageSets(strat);
1925 #endif
1926 if (siCntrlc)
1927 {
1928 while (strat->Ll >= 0)
1929 deleteInL(strat->L,&strat->Ll,strat->Ll,strat);
1930 strat->noClearS=TRUE;
1931 }
1932 if (TEST_OPT_DEGBOUND
1933 && (strat->L[strat->Ll].ecart+strat->L[strat->Ll].GetpFDeg()> Kstd1_deg))
1934 {
1935 /*
1936 * stops computation if
1937 * - 24 (degBound)
1938 * && upper degree is bigger than Kstd1_deg
1939 */
1940 while ((strat->Ll >= 0)
1941 && (strat->L[strat->Ll].p1!=NULL) && (strat->L[strat->Ll].p2!=NULL)
1942 && (strat->L[strat->Ll].ecart+strat->L[strat->Ll].GetpFDeg()> Kstd1_deg)
1943 )
1944 {
1945 deleteInL(strat->L,&strat->Ll,strat->Ll,strat);
1946 //if (TEST_OPT_PROT)
1947 //{
1948 // PrintS("D"); mflush();
1949 //}
1950 }
1951 if (strat->Ll<0) break;
1952 else strat->noClearS=TRUE;
1953 }
1954 strat->P = strat->L[strat->Ll];/*- picks the last element from the lazyset L -*/
1955 if (strat->Ll==0) strat->interpt=TRUE;
1956 strat->Ll--;
1957 // create the real Spoly
1958 if (pNext(strat->P.p) == strat->tail)
1959 {
1960 /*- deletes the short spoly and computes -*/
1961 if (rField_is_Ring(currRing))
1962 pLmDelete(strat->P.p);
1963 else
1964 pLmFree(strat->P.p);
1965 strat->P.p = NULL;
1966 poly m1 = NULL, m2 = NULL;
1967 // check that spoly creation is ok
1968 while (strat->tailRing != currRing &&
1969 !kCheckSpolyCreation(&(strat->P), strat, m1, m2))
1970 {
1971 assume(m1 == NULL && m2 == NULL);
1972 // if not, change to a ring where exponents are large enough
1973 kStratChangeTailRing(strat);
1974 }
1975 /* create the real one */
1976 ksCreateSpoly(&(strat->P), strat->kNoetherTail(), strat->use_buckets,
1977 strat->tailRing, m1, m2, strat->R);
1978 if (!strat->use_buckets)
1979 strat->P.SetLength(strat->length_pLength);
1980 }
1981 else if (strat->P.p1 == NULL)
1982 {
1983 // for input polys, prepare reduction (buckets !)
1984 strat->P.SetLength(strat->length_pLength);
1985 strat->P.PrepareRed(strat->use_buckets);
1986 }
1987
1988 // the s-poly
1989 if (!strat->P.IsNull())
1990 {
1991 // might be NULL from noether !!!
1992 if (TEST_OPT_PROT)
1993 message(strat->P.ecart+strat->P.GetpFDeg(),&olddeg,&reduc,strat, red_result);
1994 // reduce
1995 red_result = strat->red(&strat->P,strat);
1996 }
1997
1998 // the reduced s-poly
1999 if (! strat->P.IsNull())
2000 {
2001 strat->P.GetP();
2002 // statistics
2003 if (TEST_OPT_PROT) PrintS("s");
2004 // normalization
2005 if (TEST_OPT_INTSTRATEGY)
2006 strat->P.pCleardenom();
2007 else
2008 strat->P.pNorm();
2009 // tailreduction
2010 strat->P.p = redtail(&(strat->P),strat->sl,strat);
2011 if (strat->P.p==NULL)
2012 {
2013 WerrorS("expoent overflow - wrong ordering");
2014 return(idInit(1,1));
2015 }
2016 // set ecart -- might have changed because of tail reductions
2017 if ((!strat->noTailReduction) && (!strat->honey))
2018 strat->initEcart(&strat->P);
2019 // cancel unit
2020 cancelunit(&strat->P);
2021 // for char 0, clear denominators
2022 if ((strat->P.p->next==NULL) /* i.e. cancelunit did something*/
2023 && TEST_OPT_INTSTRATEGY)
2024 strat->P.pCleardenom();
2025
2026 enterT(strat->P,strat);
2027 // build new pairs
2028 if (rField_is_Ring(currRing))
2029 superenterpairs(strat->P.p,strat->sl,strat->P.ecart,0,strat, strat->tl);
2030 else
2031 enterpairs(strat->P.p,strat->sl,strat->P.ecart,0,strat, strat->tl);
2032 // put in S
2033 strat->enterS(strat->P,
2034 posInS(strat,strat->sl,strat->P.p, strat->P.ecart),
2035 strat, strat->tl);
2036 // apply hilbert criterion
2037 if (hilb!=NULL)
2038 {
2039 if (strat->homog==isHomog)
2040 khCheck(Q,w,hilb,hilbeledeg,hilbcount,strat);
2041 else
2042 khCheckLocInhom(Q,w,hilb,hilbcount,strat);
2043 }
2044
2045 // clear strat->P
2046 kDeleteLcm(&strat->P);
2047
2048 #ifdef KDEBUG
2049 // make sure kTest_TS does not complain about strat->P
2050 strat->P.Clear();
2051 #endif
2052 }
2053 if (strat->kHEdgeFound)
2054 {
2055 if ((TEST_OPT_FINDET)
2056 || ((TEST_OPT_MULTBOUND) && (scMult0Int(strat->Shdl,NULL,strat->tailRing) < Kstd1_mu)))
2057 {
2058 // obachman: is this still used ???
2059 /*
2060 * stops computation if strat->kHEdgeFound and
2061 * - 27 (finiteDeterminacyTest)
2062 * or
2063 * - 23
2064 * (multBound)
2065 * && multiplicity of the ideal is smaller then a predefined number mu
2066 */
2067 while (strat->Ll >= 0) deleteInL(strat->L,&strat->Ll,strat->Ll,strat);
2068 }
2069 }
2070 kTest_TS(strat);
2071 }
2072 /*- complete reduction of the standard basis------------------------ -*/
2073 if (TEST_OPT_REDSB) completeReduce(strat);
2074 else if (TEST_OPT_PROT) PrintLn();
2075 /*- release temp data------------------------------- -*/
2076 exitBuchMora(strat);
2077 /*- polynomials used for HECKE: HC, noether -*/
2078 if (TEST_OPT_FINDET)
2079 {
2080 if (strat->kHEdge!=NULL)
2081 Kstd1_mu=currRing->pFDeg(strat->kHEdge,currRing);
2082 else
2083 Kstd1_mu=-1;
2084 }
2085 if (strat->kHEdge!=NULL) pLmFree(&strat->kHEdge);
2086 strat->update = TRUE; //???
2087 strat->lastAxis = 0; //???
2088 if (strat->kNoether!=NULL) pLmDelete(&strat->kNoether);
2089 omFreeSize((ADDRESS)strat->NotUsedAxis,((currRing->N)+1)*sizeof(BOOLEAN));
2090 if ((TEST_OPT_PROT)||(TEST_OPT_DEBUG)) messageStat(hilbcount,strat);
2091 // if (TEST_OPT_WEIGHTM)
2092 // {
2093 // pRestoreDegProcs(currRing,strat->pOrigFDeg, strat->pOrigLDeg);
2094 // if (ecartWeights)
2095 // {
2096 // omFreeSize((ADDRESS)ecartWeights,((currRing->N)+1)*sizeof(short));
2097 // ecartWeights=NULL;
2098 // }
2099 // }
2100 if(nCoeff_is_Z(currRing->cf))
2101 finalReduceByMon(strat);
2102 if (Q!=NULL) updateResult(strat->Shdl,Q,strat);
2103 SI_RESTORE_OPT1(save1);
2104 idTest(strat->Shdl);
2105 return (strat->Shdl);
2106 }
2107
kNF1(ideal F,ideal Q,poly q,kStrategy strat,int lazyReduce)2108 poly kNF1 (ideal F,ideal Q,poly q, kStrategy strat, int lazyReduce)
2109 {
2110 assume(q!=NULL);
2111 assume(!(idIs0(F)&&(Q==NULL)));
2112
2113 // lazy_reduce flags: can be combined by |
2114 //#define KSTD_NF_LAZY 1
2115 // do only a reduction of the leading term
2116 //#define KSTD_NF_ECART 2
2117 // only local: recude even with bad ecart
2118 poly p;
2119 int i;
2120 int j;
2121 int o;
2122 LObject h;
2123 BITSET save1;
2124 SI_SAVE_OPT1(save1);
2125
2126 //if ((idIs0(F))&&(Q==NULL))
2127 // return pCopy(q); /*F=0*/
2128 //strat->ak = si_max(idRankFreeModule(F),pMaxComp(q));
2129 /*- creating temp data structures------------------- -*/
2130 strat->kHEdgeFound = (currRing->ppNoether) != NULL;
2131 strat->kNoether = pCopy((currRing->ppNoether));
2132 si_opt_1|=Sy_bit(OPT_REDTAIL);
2133 si_opt_1&=~Sy_bit(OPT_INTSTRATEGY);
2134 if (TEST_OPT_STAIRCASEBOUND
2135 && (! TEST_V_DEG_STOP)
2136 && (0<Kstd1_deg)
2137 && ((!strat->kHEdgeFound)
2138 ||(TEST_OPT_DEGBOUND && (pWTotaldegree(strat->kNoether)<Kstd1_deg))))
2139 {
2140 pLmDelete(&strat->kNoether);
2141 strat->kNoether=pOne();
2142 pSetExp(strat->kNoether,1, Kstd1_deg+1);
2143 pSetm(strat->kNoether);
2144 strat->kHEdgeFound=TRUE;
2145 }
2146 initBuchMoraCrit(strat);
2147 if(rField_is_Ring(currRing))
2148 initBuchMoraPosRing(strat);
2149 else
2150 initBuchMoraPos(strat);
2151 initMora(F,strat);
2152 strat->enterS = enterSMoraNF;
2153 /*- set T -*/
2154 strat->tl = -1;
2155 strat->tmax = setmaxT;
2156 strat->T = initT();
2157 strat->R = initR();
2158 strat->sevT = initsevT();
2159 /*- set S -*/
2160 strat->sl = -1;
2161 /*- init local data struct.-------------------------- -*/
2162 /*Shdl=*/initS(F,Q,strat);
2163 if ((strat->ak!=0)
2164 && (strat->kHEdgeFound))
2165 {
2166 if (strat->ak!=1)
2167 {
2168 pSetComp(strat->kNoether,1);
2169 pSetmComp(strat->kNoether);
2170 poly p=pHead(strat->kNoether);
2171 pSetComp(p,strat->ak);
2172 pSetmComp(p);
2173 p=pAdd(strat->kNoether,p);
2174 strat->kNoether=pNext(p);
2175 p_LmDelete(p,currRing);
2176 }
2177 }
2178 if ((lazyReduce & KSTD_NF_LAZY)==0)
2179 {
2180 for (i=strat->sl; i>=0; i--)
2181 pNorm(strat->S[i]);
2182 }
2183 /*- puts the elements of S also to T -*/
2184 for (i=0; i<=strat->sl; i++)
2185 {
2186 h.p = strat->S[i];
2187 h.ecart = strat->ecartS[i];
2188 if (strat->sevS[i] == 0) strat->sevS[i] = pGetShortExpVector(h.p);
2189 else assume(strat->sevS[i] == pGetShortExpVector(h.p));
2190 h.length = pLength(h.p);
2191 h.sev = strat->sevS[i];
2192 h.SetpFDeg();
2193 enterT(h,strat);
2194 }
2195 #ifdef KDEBUG
2196 // kDebugPrint(strat);
2197 #endif
2198 /*- compute------------------------------------------- -*/
2199 p = pCopy(q);
2200 deleteHC(&p,&o,&j,strat);
2201 kTest(strat);
2202 if (TEST_OPT_PROT) { PrintS("r"); mflush(); }
2203 if (BVERBOSE(23)) kDebugPrint(strat);
2204 if(rField_is_Ring(currRing))
2205 {
2206 if (p!=NULL) p = redMoraNFRing(p,strat, lazyReduce & KSTD_NF_ECART);
2207 }
2208 else
2209 {
2210 if (p!=NULL) p = redMoraNF(p,strat, lazyReduce & KSTD_NF_ECART);
2211 }
2212 if ((p!=NULL)&&((lazyReduce & KSTD_NF_LAZY)==0))
2213 {
2214 if (TEST_OPT_PROT) { PrintS("t"); mflush(); }
2215 p = redtail(p,strat->sl,strat);
2216 }
2217 /*- release temp data------------------------------- -*/
2218 cleanT(strat);
2219 assume(strat->L==NULL); /*strat->L unsed */
2220 assume(strat->B==NULL); /*strat->B unused */
2221 omFreeSize((ADDRESS)strat->T,strat->tmax*sizeof(TObject));
2222 omFreeSize((ADDRESS)strat->ecartS,IDELEMS(strat->Shdl)*sizeof(int));
2223 omFreeSize((ADDRESS)strat->sevS,IDELEMS(strat->Shdl)*sizeof(unsigned long));
2224 omFreeSize((ADDRESS)strat->NotUsedAxis,((currRing->N)+1)*sizeof(BOOLEAN));
2225 omFree(strat->sevT);
2226 omFree(strat->S_2_R);
2227 omFree(strat->R);
2228
2229 if ((Q!=NULL)&&(strat->fromQ!=NULL))
2230 {
2231 i=((IDELEMS(Q)+IDELEMS(F)+15)/16)*16;
2232 omFreeSize((ADDRESS)strat->fromQ,i*sizeof(int));
2233 strat->fromQ=NULL;
2234 }
2235 if (strat->kHEdge!=NULL) pLmFree(&strat->kHEdge);
2236 if (strat->kNoether!=NULL) pLmDelete(&strat->kNoether);
2237 // if ((TEST_OPT_WEIGHTM)&&(F!=NULL))
2238 // {
2239 // pRestoreDegProcs(currRing,strat->pOrigFDeg, strat->pOrigLDeg);
2240 // if (ecartWeights)
2241 // {
2242 // omFreeSize((ADDRESS *)&ecartWeights,((currRing->N)+1)*sizeof(short));
2243 // ecartWeights=NULL;
2244 // }
2245 // }
2246 idDelete(&strat->Shdl);
2247 SI_RESTORE_OPT1(save1);
2248 if (TEST_OPT_PROT) PrintLn();
2249 return p;
2250 }
2251
kNF1(ideal F,ideal Q,ideal q,kStrategy strat,int lazyReduce)2252 ideal kNF1 (ideal F,ideal Q,ideal q, kStrategy strat, int lazyReduce)
2253 {
2254 assume(!idIs0(q));
2255 assume(!(idIs0(F)&&(Q==NULL)));
2256
2257 // lazy_reduce flags: can be combined by |
2258 //#define KSTD_NF_LAZY 1
2259 // do only a reduction of the leading term
2260 //#define KSTD_NF_ECART 2
2261 // only local: recude even with bad ecart
2262 poly p;
2263 int i;
2264 int j;
2265 int o;
2266 LObject h;
2267 ideal res;
2268 BITSET save1;
2269 SI_SAVE_OPT1(save1);
2270
2271 //if (idIs0(q)) return idInit(IDELEMS(q),si_max(q->rank,F->rank));
2272 //if ((idIs0(F))&&(Q==NULL))
2273 // return idCopy(q); /*F=0*/
2274 //strat->ak = si_max(idRankFreeModule(F),idRankFreeModule(q));
2275 /*- creating temp data structures------------------- -*/
2276 strat->kHEdgeFound = (currRing->ppNoether) != NULL;
2277 strat->kNoether=pCopy((currRing->ppNoether));
2278 si_opt_1|=Sy_bit(OPT_REDTAIL);
2279 if (TEST_OPT_STAIRCASEBOUND
2280 && (0<Kstd1_deg)
2281 && ((!strat->kHEdgeFound)
2282 ||(TEST_OPT_DEGBOUND && (pWTotaldegree(strat->kNoether)<Kstd1_deg))))
2283 {
2284 pLmDelete(&strat->kNoether);
2285 strat->kNoether=pOne();
2286 pSetExp(strat->kNoether,1, Kstd1_deg+1);
2287 pSetm(strat->kNoether);
2288 strat->kHEdgeFound=TRUE;
2289 }
2290 initBuchMoraCrit(strat);
2291 if(rField_is_Ring(currRing))
2292 initBuchMoraPosRing(strat);
2293 else
2294 initBuchMoraPos(strat);
2295 initMora(F,strat);
2296 strat->enterS = enterSMoraNF;
2297 /*- set T -*/
2298 strat->tl = -1;
2299 strat->tmax = setmaxT;
2300 strat->T = initT();
2301 strat->R = initR();
2302 strat->sevT = initsevT();
2303 /*- set S -*/
2304 strat->sl = -1;
2305 /*- init local data struct.-------------------------- -*/
2306 /*Shdl=*/initS(F,Q,strat);
2307 if ((strat->ak!=0)
2308 && (strat->kHEdgeFound))
2309 {
2310 if (strat->ak!=1)
2311 {
2312 pSetComp(strat->kNoether,1);
2313 pSetmComp(strat->kNoether);
2314 poly p=pHead(strat->kNoether);
2315 pSetComp(p,strat->ak);
2316 pSetmComp(p);
2317 p=pAdd(strat->kNoether,p);
2318 strat->kNoether=pNext(p);
2319 p_LmDelete(p,currRing);
2320 }
2321 }
2322 if (TEST_OPT_INTSTRATEGY && ((lazyReduce & KSTD_NF_LAZY)==0))
2323 {
2324 for (i=strat->sl; i>=0; i--)
2325 pNorm(strat->S[i]);
2326 }
2327 /*- compute------------------------------------------- -*/
2328 res=idInit(IDELEMS(q),strat->ak);
2329 for (i=0; i<IDELEMS(q); i++)
2330 {
2331 if (q->m[i]!=NULL)
2332 {
2333 p = pCopy(q->m[i]);
2334 deleteHC(&p,&o,&j,strat);
2335 if (p!=NULL)
2336 {
2337 /*- puts the elements of S also to T -*/
2338 for (j=0; j<=strat->sl; j++)
2339 {
2340 h.p = strat->S[j];
2341 h.ecart = strat->ecartS[j];
2342 h.pLength = h.length = pLength(h.p);
2343 if (strat->sevS[j] == 0) strat->sevS[j] = pGetShortExpVector(h.p);
2344 else assume(strat->sevS[j] == pGetShortExpVector(h.p));
2345 h.sev = strat->sevS[j];
2346 h.SetpFDeg();
2347 if(rField_is_Ring(currRing) && rHasLocalOrMixedOrdering(currRing))
2348 enterT_strong(h,strat);
2349 else
2350 enterT(h,strat);
2351 }
2352 if (TEST_OPT_PROT) { PrintS("r"); mflush(); }
2353 if(rField_is_Ring(currRing))
2354 {
2355 p = redMoraNFRing(p,strat, lazyReduce & KSTD_NF_ECART);
2356 }
2357 else
2358 p = redMoraNF(p,strat, lazyReduce & KSTD_NF_ECART);
2359 if ((p!=NULL)&&((lazyReduce & KSTD_NF_LAZY)==0))
2360 {
2361 if (TEST_OPT_PROT) { PrintS("t"); mflush(); }
2362 p = redtail(p,strat->sl,strat);
2363 }
2364 cleanT(strat);
2365 }
2366 res->m[i]=p;
2367 }
2368 //else
2369 // res->m[i]=NULL;
2370 }
2371 /*- release temp data------------------------------- -*/
2372 assume(strat->L==NULL); /*strat->L unsed */
2373 assume(strat->B==NULL); /*strat->B unused */
2374 omFreeSize((ADDRESS)strat->T,strat->tmax*sizeof(TObject));
2375 omFreeSize((ADDRESS)strat->ecartS,IDELEMS(strat->Shdl)*sizeof(int));
2376 omFreeSize((ADDRESS)strat->sevS,IDELEMS(strat->Shdl)*sizeof(unsigned long));
2377 omFreeSize((ADDRESS)strat->NotUsedAxis,((currRing->N)+1)*sizeof(BOOLEAN));
2378 omFree(strat->sevT);
2379 omFree(strat->S_2_R);
2380 omFree(strat->R);
2381 if ((Q!=NULL)&&(strat->fromQ!=NULL))
2382 {
2383 i=((IDELEMS(F)+IDELEMS(Q)+(setmaxTinc-1))/setmaxTinc)*setmaxTinc;
2384 omFreeSize((ADDRESS)strat->fromQ,i*sizeof(int));
2385 strat->fromQ=NULL;
2386 }
2387 if (strat->kHEdge!=NULL) pLmFree(&strat->kHEdge);
2388 if (strat->kNoether!=NULL) pLmDelete(&strat->kNoether);
2389 // if ((TEST_OPT_WEIGHTM)&&(F!=NULL))
2390 // {
2391 // pFDeg=strat->pOrigFDeg;
2392 // pLDeg=strat->pOrigLDeg;
2393 // if (ecartWeights)
2394 // {
2395 // omFreeSize((ADDRESS *)&ecartWeights,((currRing->N)+1)*sizeof(short));
2396 // ecartWeights=NULL;
2397 // }
2398 // }
2399 idDelete(&strat->Shdl);
2400 SI_RESTORE_OPT1(save1);
2401 if (TEST_OPT_PROT) PrintLn();
2402 return res;
2403 }
2404
2405 VAR intvec * kModW, * kHomW;
2406
kModDeg(poly p,ring r)2407 long kModDeg(poly p, ring r)
2408 {
2409 long o=p_WDegree(p, r);
2410 long i=__p_GetComp(p, r);
2411 if (i==0) return o;
2412 //assume((i>0) && (i<=kModW->length()));
2413 if (i<=kModW->length())
2414 return o+(*kModW)[i-1];
2415 return o;
2416 }
kHomModDeg(poly p,ring r)2417 long kHomModDeg(poly p, ring r)
2418 {
2419 int i;
2420 long j=0;
2421
2422 for (i=r->N;i>0;i--)
2423 j+=p_GetExp(p,i,r)*(*kHomW)[i-1];
2424 if (kModW == NULL) return j;
2425 i = __p_GetComp(p,r);
2426 if (i==0) return j;
2427 return j+(*kModW)[i-1];
2428 }
2429
kStd(ideal F,ideal Q,tHomog h,intvec ** w,intvec * hilb,int syzComp,int newIdeal,intvec * vw,s_poly_proc_t sp)2430 ideal kStd(ideal F, ideal Q, tHomog h,intvec ** w, intvec *hilb,int syzComp,
2431 int newIdeal, intvec *vw, s_poly_proc_t sp)
2432 {
2433 if(idIs0(F))
2434 return idInit(1,F->rank);
2435
2436 #ifdef HAVE_SHIFTBBA
2437 if(rIsLPRing(currRing)) return kStdShift(F, Q, h, w, hilb, syzComp, newIdeal, vw, FALSE);
2438 #endif
2439
2440 ideal r;
2441 BOOLEAN b=currRing->pLexOrder,toReset=FALSE;
2442 BOOLEAN delete_w=(w==NULL);
2443 kStrategy strat=new skStrategy;
2444
2445 strat->s_poly=sp;
2446 if(!TEST_OPT_RETURN_SB)
2447 strat->syzComp = syzComp;
2448 if (TEST_OPT_SB_1
2449 &&(!rField_is_Ring(currRing))
2450 )
2451 strat->newIdeal = newIdeal;
2452 if (rField_has_simple_inverse(currRing))
2453 strat->LazyPass=20;
2454 else
2455 strat->LazyPass=2;
2456 strat->LazyDegree = 1;
2457 strat->ak = id_RankFreeModule(F,currRing);
2458 strat->kModW=kModW=NULL;
2459 strat->kHomW=kHomW=NULL;
2460 if (vw != NULL)
2461 {
2462 currRing->pLexOrder=FALSE;
2463 strat->kHomW=kHomW=vw;
2464 strat->pOrigFDeg = currRing->pFDeg;
2465 strat->pOrigLDeg = currRing->pLDeg;
2466 pSetDegProcs(currRing,kHomModDeg);
2467 toReset = TRUE;
2468 }
2469 if (h==testHomog)
2470 {
2471 if (strat->ak == 0)
2472 {
2473 h = (tHomog)idHomIdeal(F,Q);
2474 w=NULL;
2475 }
2476 else if (!TEST_OPT_DEGBOUND)
2477 {
2478 if (w!=NULL)
2479 h = (tHomog)idHomModule(F,Q,w);
2480 else
2481 h = (tHomog)idHomIdeal(F,Q);
2482 }
2483 }
2484 currRing->pLexOrder=b;
2485 if (h==isHomog)
2486 {
2487 if (strat->ak > 0 && (w!=NULL) && (*w!=NULL))
2488 {
2489 strat->kModW = kModW = *w;
2490 if (vw == NULL)
2491 {
2492 strat->pOrigFDeg = currRing->pFDeg;
2493 strat->pOrigLDeg = currRing->pLDeg;
2494 pSetDegProcs(currRing,kModDeg);
2495 toReset = TRUE;
2496 }
2497 }
2498 currRing->pLexOrder = TRUE;
2499 if (hilb==NULL) strat->LazyPass*=2;
2500 }
2501 strat->homog=h;
2502 #ifdef KDEBUG
2503 idTest(F);
2504 if (Q!=NULL) idTest(Q);
2505 #endif
2506 #ifdef HAVE_PLURAL
2507 if (rIsPluralRing(currRing))
2508 {
2509 const BOOLEAN bIsSCA = rIsSCA(currRing) && strat->z2homog; // for Z_2 prod-crit
2510 strat->no_prod_crit = ! bIsSCA;
2511 if (w!=NULL)
2512 r = nc_GB(F, Q, *w, hilb, strat, currRing);
2513 else
2514 r = nc_GB(F, Q, NULL, hilb, strat, currRing);
2515 }
2516 else
2517 #endif
2518 {
2519 #if PRE_INTEGER_CHECK
2520 //the preinteger check strategy is not for modules
2521 if(nCoeff_is_Z(currRing->cf) && strat->ak <= 0)
2522 {
2523 ideal FCopy = idCopy(F);
2524 poly pFmon = preIntegerCheck(FCopy, Q);
2525 if(pFmon != NULL)
2526 {
2527 idInsertPoly(FCopy, pFmon);
2528 strat->kModW=kModW=NULL;
2529 if (h==testHomog)
2530 {
2531 if (strat->ak == 0)
2532 {
2533 h = (tHomog)idHomIdeal(FCopy,Q);
2534 w=NULL;
2535 }
2536 else if (!TEST_OPT_DEGBOUND)
2537 {
2538 if (w!=NULL)
2539 h = (tHomog)idHomModule(FCopy,Q,w);
2540 else
2541 h = (tHomog)idHomIdeal(FCopy,Q);
2542 }
2543 }
2544 currRing->pLexOrder=b;
2545 if (h==isHomog)
2546 {
2547 if (strat->ak > 0 && (w!=NULL) && (*w!=NULL))
2548 {
2549 strat->kModW = kModW = *w;
2550 if (vw == NULL)
2551 {
2552 strat->pOrigFDeg = currRing->pFDeg;
2553 strat->pOrigLDeg = currRing->pLDeg;
2554 pSetDegProcs(currRing,kModDeg);
2555 toReset = TRUE;
2556 }
2557 }
2558 currRing->pLexOrder = TRUE;
2559 if (hilb==NULL) strat->LazyPass*=2;
2560 }
2561 strat->homog=h;
2562 }
2563 omTestMemory(1);
2564 if(w == NULL)
2565 {
2566 if(rHasLocalOrMixedOrdering(currRing))
2567 r=mora(FCopy,Q,NULL,hilb,strat);
2568 else
2569 r=bba(FCopy,Q,NULL,hilb,strat);
2570 }
2571 else
2572 {
2573 if(rHasLocalOrMixedOrdering(currRing))
2574 r=mora(FCopy,Q,*w,hilb,strat);
2575 else
2576 r=bba(FCopy,Q,*w,hilb,strat);
2577 }
2578 idDelete(&FCopy);
2579 }
2580 else
2581 #endif
2582 {
2583 if(w==NULL)
2584 {
2585 if(rHasLocalOrMixedOrdering(currRing))
2586 r=mora(F,Q,NULL,hilb,strat);
2587 else
2588 r=bba(F,Q,NULL,hilb,strat);
2589 }
2590 else
2591 {
2592 if(rHasLocalOrMixedOrdering(currRing))
2593 r=mora(F,Q,*w,hilb,strat);
2594 else
2595 r=bba(F,Q,*w,hilb,strat);
2596 }
2597 }
2598 }
2599 #ifdef KDEBUG
2600 idTest(r);
2601 #endif
2602 if (toReset)
2603 {
2604 kModW = NULL;
2605 pRestoreDegProcs(currRing,strat->pOrigFDeg, strat->pOrigLDeg);
2606 }
2607 currRing->pLexOrder = b;
2608 //Print("%d reductions canceled \n",strat->cel);
2609 HCord=strat->HCord;
2610 delete(strat);
2611 if ((delete_w)&&(w!=NULL)&&(*w!=NULL)) delete *w;
2612 return r;
2613 }
2614
kSba(ideal F,ideal Q,tHomog h,intvec ** w,int sbaOrder,int arri,intvec * hilb,int syzComp,int newIdeal,intvec * vw)2615 ideal kSba(ideal F, ideal Q, tHomog h,intvec ** w, int sbaOrder, int arri, intvec *hilb,int syzComp,
2616 int newIdeal, intvec *vw)
2617 {
2618 if(idIs0(F))
2619 return idInit(1,F->rank);
2620 if(!rField_is_Ring(currRing))
2621 {
2622 ideal r;
2623 BOOLEAN b=currRing->pLexOrder,toReset=FALSE;
2624 BOOLEAN delete_w=(w==NULL);
2625 kStrategy strat=new skStrategy;
2626 strat->sbaOrder = sbaOrder;
2627 if (arri!=0)
2628 {
2629 strat->rewCrit1 = arriRewDummy;
2630 strat->rewCrit2 = arriRewCriterion;
2631 strat->rewCrit3 = arriRewCriterionPre;
2632 }
2633 else
2634 {
2635 strat->rewCrit1 = faugereRewCriterion;
2636 strat->rewCrit2 = faugereRewCriterion;
2637 strat->rewCrit3 = faugereRewCriterion;
2638 }
2639
2640 if(!TEST_OPT_RETURN_SB)
2641 strat->syzComp = syzComp;
2642 if (TEST_OPT_SB_1)
2643 //if(!rField_is_Ring(currRing)) // always true here
2644 strat->newIdeal = newIdeal;
2645 if (rField_has_simple_inverse(currRing))
2646 strat->LazyPass=20;
2647 else
2648 strat->LazyPass=2;
2649 strat->LazyDegree = 1;
2650 strat->enterOnePair=enterOnePairNormal;
2651 strat->chainCrit=chainCritNormal;
2652 if (TEST_OPT_SB_1) strat->chainCrit=chainCritOpt_1;
2653 strat->ak = id_RankFreeModule(F,currRing);
2654 strat->kModW=kModW=NULL;
2655 strat->kHomW=kHomW=NULL;
2656 if (vw != NULL)
2657 {
2658 currRing->pLexOrder=FALSE;
2659 strat->kHomW=kHomW=vw;
2660 strat->pOrigFDeg = currRing->pFDeg;
2661 strat->pOrigLDeg = currRing->pLDeg;
2662 pSetDegProcs(currRing,kHomModDeg);
2663 toReset = TRUE;
2664 }
2665 if (h==testHomog)
2666 {
2667 if (strat->ak == 0)
2668 {
2669 h = (tHomog)idHomIdeal(F,Q);
2670 w=NULL;
2671 }
2672 else if (!TEST_OPT_DEGBOUND)
2673 {
2674 if (w!=NULL)
2675 h = (tHomog)idHomModule(F,Q,w);
2676 else
2677 h = (tHomog)idHomIdeal(F,Q);
2678 }
2679 }
2680 currRing->pLexOrder=b;
2681 if (h==isHomog)
2682 {
2683 if (strat->ak > 0 && (w!=NULL) && (*w!=NULL))
2684 {
2685 strat->kModW = kModW = *w;
2686 if (vw == NULL)
2687 {
2688 strat->pOrigFDeg = currRing->pFDeg;
2689 strat->pOrigLDeg = currRing->pLDeg;
2690 pSetDegProcs(currRing,kModDeg);
2691 toReset = TRUE;
2692 }
2693 }
2694 currRing->pLexOrder = TRUE;
2695 if (hilb==NULL) strat->LazyPass*=2;
2696 }
2697 strat->homog=h;
2698 #ifdef KDEBUG
2699 idTest(F);
2700 if(Q != NULL)
2701 idTest(Q);
2702 #endif
2703 #ifdef HAVE_PLURAL
2704 if (rIsPluralRing(currRing))
2705 {
2706 const BOOLEAN bIsSCA = rIsSCA(currRing) && strat->z2homog; // for Z_2 prod-crit
2707 strat->no_prod_crit = ! bIsSCA;
2708 if (w!=NULL)
2709 r = nc_GB(F, Q, *w, hilb, strat, currRing);
2710 else
2711 r = nc_GB(F, Q, NULL, hilb, strat, currRing);
2712 }
2713 else
2714 #endif
2715 {
2716 if (rHasLocalOrMixedOrdering(currRing))
2717 {
2718 if (w!=NULL)
2719 r=mora(F,Q,*w,hilb,strat);
2720 else
2721 r=mora(F,Q,NULL,hilb,strat);
2722 }
2723 else
2724 {
2725 strat->sigdrop = FALSE;
2726 if (w!=NULL)
2727 r=sba(F,Q,*w,hilb,strat);
2728 else
2729 r=sba(F,Q,NULL,hilb,strat);
2730 }
2731 }
2732 #ifdef KDEBUG
2733 idTest(r);
2734 #endif
2735 if (toReset)
2736 {
2737 kModW = NULL;
2738 pRestoreDegProcs(currRing,strat->pOrigFDeg, strat->pOrigLDeg);
2739 }
2740 currRing->pLexOrder = b;
2741 //Print("%d reductions canceled \n",strat->cel);
2742 HCord=strat->HCord;
2743 //delete(strat);
2744 if ((delete_w)&&(w!=NULL)&&(*w!=NULL)) delete *w;
2745 return r;
2746 }
2747 else
2748 {
2749 //--------------------------RING CASE-------------------------
2750 assume(sbaOrder == 1);
2751 assume(arri == 0);
2752 ideal r;
2753 r = idCopy(F);
2754 int sbaEnterS = -1;
2755 bool sigdrop = TRUE;
2756 //This is how we set the SBA algorithm;
2757 int totalsbaruns = 1,blockedreductions = 20,blockred = 0,loops = 0;
2758 while(sigdrop && (loops < totalsbaruns || totalsbaruns == -1)
2759 && (blockred <= blockedreductions))
2760 {
2761 loops++;
2762 if(loops == 1)
2763 sigdrop = FALSE;
2764 BOOLEAN b=currRing->pLexOrder,toReset=FALSE;
2765 BOOLEAN delete_w=(w==NULL);
2766 kStrategy strat=new skStrategy;
2767 strat->sbaEnterS = sbaEnterS;
2768 strat->sigdrop = sigdrop;
2769 #if 0
2770 strat->blockred = blockred;
2771 #else
2772 strat->blockred = 0;
2773 #endif
2774 strat->blockredmax = blockedreductions;
2775 //printf("\nsbaEnterS beginning = %i\n",strat->sbaEnterS);
2776 //printf("\nsigdrop beginning = %i\n",strat->sigdrop);
2777 strat->sbaOrder = sbaOrder;
2778 if (arri!=0)
2779 {
2780 strat->rewCrit1 = arriRewDummy;
2781 strat->rewCrit2 = arriRewCriterion;
2782 strat->rewCrit3 = arriRewCriterionPre;
2783 }
2784 else
2785 {
2786 strat->rewCrit1 = faugereRewCriterion;
2787 strat->rewCrit2 = faugereRewCriterion;
2788 strat->rewCrit3 = faugereRewCriterion;
2789 }
2790
2791 if(!TEST_OPT_RETURN_SB)
2792 strat->syzComp = syzComp;
2793 if (TEST_OPT_SB_1)
2794 if(!rField_is_Ring(currRing))
2795 strat->newIdeal = newIdeal;
2796 if (rField_has_simple_inverse(currRing))
2797 strat->LazyPass=20;
2798 else
2799 strat->LazyPass=2;
2800 strat->LazyDegree = 1;
2801 strat->enterOnePair=enterOnePairNormal;
2802 strat->chainCrit=chainCritNormal;
2803 if (TEST_OPT_SB_1) strat->chainCrit=chainCritOpt_1;
2804 strat->ak = id_RankFreeModule(F,currRing);
2805 strat->kModW=kModW=NULL;
2806 strat->kHomW=kHomW=NULL;
2807 if (vw != NULL)
2808 {
2809 currRing->pLexOrder=FALSE;
2810 strat->kHomW=kHomW=vw;
2811 strat->pOrigFDeg = currRing->pFDeg;
2812 strat->pOrigLDeg = currRing->pLDeg;
2813 pSetDegProcs(currRing,kHomModDeg);
2814 toReset = TRUE;
2815 }
2816 if (h==testHomog)
2817 {
2818 if (strat->ak == 0)
2819 {
2820 h = (tHomog)idHomIdeal(F,Q);
2821 w=NULL;
2822 }
2823 else if (!TEST_OPT_DEGBOUND)
2824 {
2825 if (w!=NULL)
2826 h = (tHomog)idHomModule(F,Q,w);
2827 else
2828 h = (tHomog)idHomIdeal(F,Q);
2829 }
2830 }
2831 currRing->pLexOrder=b;
2832 if (h==isHomog)
2833 {
2834 if (strat->ak > 0 && (w!=NULL) && (*w!=NULL))
2835 {
2836 strat->kModW = kModW = *w;
2837 if (vw == NULL)
2838 {
2839 strat->pOrigFDeg = currRing->pFDeg;
2840 strat->pOrigLDeg = currRing->pLDeg;
2841 pSetDegProcs(currRing,kModDeg);
2842 toReset = TRUE;
2843 }
2844 }
2845 currRing->pLexOrder = TRUE;
2846 if (hilb==NULL) strat->LazyPass*=2;
2847 }
2848 strat->homog=h;
2849 #ifdef KDEBUG
2850 idTest(F);
2851 if(Q != NULL)
2852 idTest(Q);
2853 #endif
2854 #ifdef HAVE_PLURAL
2855 if (rIsPluralRing(currRing))
2856 {
2857 const BOOLEAN bIsSCA = rIsSCA(currRing) && strat->z2homog; // for Z_2 prod-crit
2858 strat->no_prod_crit = ! bIsSCA;
2859 if (w!=NULL)
2860 r = nc_GB(F, Q, *w, hilb, strat, currRing);
2861 else
2862 r = nc_GB(F, Q, NULL, hilb, strat, currRing);
2863 }
2864 else
2865 #endif
2866 {
2867 if (rHasLocalOrMixedOrdering(currRing))
2868 {
2869 if (w!=NULL)
2870 r=mora(F,Q,*w,hilb,strat);
2871 else
2872 r=mora(F,Q,NULL,hilb,strat);
2873 }
2874 else
2875 {
2876 if (w!=NULL)
2877 r=sba(r,Q,*w,hilb,strat);
2878 else
2879 {
2880 r=sba(r,Q,NULL,hilb,strat);
2881 }
2882 }
2883 }
2884 #ifdef KDEBUG
2885 idTest(r);
2886 #endif
2887 if (toReset)
2888 {
2889 kModW = NULL;
2890 pRestoreDegProcs(currRing,strat->pOrigFDeg, strat->pOrigLDeg);
2891 }
2892 currRing->pLexOrder = b;
2893 //Print("%d reductions canceled \n",strat->cel);
2894 HCord=strat->HCord;
2895 sigdrop = strat->sigdrop;
2896 sbaEnterS = strat->sbaEnterS;
2897 blockred = strat->blockred;
2898 delete(strat);
2899 if ((delete_w)&&(w!=NULL)&&(*w!=NULL)) delete *w;
2900 }
2901 // Go to std
2902 if(sigdrop || blockred > blockedreductions)
2903 {
2904 r = kStd(r, Q, h, w, hilb, syzComp, newIdeal, vw);
2905 }
2906 return r;
2907 }
2908 }
2909
2910 #ifdef HAVE_SHIFTBBA
kStdShift(ideal F,ideal Q,tHomog h,intvec ** w,intvec * hilb,int syzComp,int newIdeal,intvec * vw,BOOLEAN rightGB)2911 ideal kStdShift(ideal F, ideal Q, tHomog h,intvec ** w, intvec *hilb,int syzComp,
2912 int newIdeal, intvec *vw, BOOLEAN rightGB)
2913 {
2914 assume(rIsLPRing(currRing));
2915 assume(idIsInV(F));
2916 ideal r;
2917 BOOLEAN b=currRing->pLexOrder,toReset=FALSE;
2918 BOOLEAN delete_w=(w==NULL);
2919 kStrategy strat=new skStrategy;
2920 intvec* temp_w=NULL;
2921
2922 strat->rightGB = rightGB;
2923
2924 if(!TEST_OPT_RETURN_SB)
2925 strat->syzComp = syzComp;
2926 if (TEST_OPT_SB_1)
2927 if(!rField_is_Ring(currRing))
2928 strat->newIdeal = newIdeal;
2929 if (rField_has_simple_inverse(currRing))
2930 strat->LazyPass=20;
2931 else
2932 strat->LazyPass=2;
2933 strat->LazyDegree = 1;
2934 strat->ak = id_RankFreeModule(F,currRing);
2935 strat->kModW=kModW=NULL;
2936 strat->kHomW=kHomW=NULL;
2937 if (vw != NULL)
2938 {
2939 currRing->pLexOrder=FALSE;
2940 strat->kHomW=kHomW=vw;
2941 strat->pOrigFDeg = currRing->pFDeg;
2942 strat->pOrigLDeg = currRing->pLDeg;
2943 pSetDegProcs(currRing,kHomModDeg);
2944 toReset = TRUE;
2945 }
2946 if (h==testHomog)
2947 {
2948 if (strat->ak == 0)
2949 {
2950 h = (tHomog)idHomIdeal(F,Q);
2951 w=NULL;
2952 }
2953 else if (!TEST_OPT_DEGBOUND)
2954 {
2955 if (w!=NULL)
2956 h = (tHomog)idHomModule(F,Q,w);
2957 else
2958 h = (tHomog)idHomIdeal(F,Q);
2959 }
2960 }
2961 currRing->pLexOrder=b;
2962 if (h==isHomog)
2963 {
2964 if (strat->ak > 0 && (w!=NULL) && (*w!=NULL))
2965 {
2966 strat->kModW = kModW = *w;
2967 if (vw == NULL)
2968 {
2969 strat->pOrigFDeg = currRing->pFDeg;
2970 strat->pOrigLDeg = currRing->pLDeg;
2971 pSetDegProcs(currRing,kModDeg);
2972 toReset = TRUE;
2973 }
2974 }
2975 currRing->pLexOrder = TRUE;
2976 if (hilb==NULL) strat->LazyPass*=2;
2977 }
2978 strat->homog=h;
2979 #ifdef KDEBUG
2980 idTest(F);
2981 #endif
2982 if (rHasLocalOrMixedOrdering(currRing))
2983 {
2984 /* error: no local ord yet with shifts */
2985 WerrorS("No local ordering possible for shift algebra");
2986 return(NULL);
2987 }
2988 else
2989 {
2990 /* global ordering */
2991 if (w!=NULL)
2992 r=bbaShift(F,Q,*w,hilb,strat);
2993 else
2994 r=bbaShift(F,Q,NULL,hilb,strat);
2995 }
2996 #ifdef KDEBUG
2997 idTest(r);
2998 #endif
2999 if (toReset)
3000 {
3001 kModW = NULL;
3002 pRestoreDegProcs(currRing,strat->pOrigFDeg, strat->pOrigLDeg);
3003 }
3004 currRing->pLexOrder = b;
3005 //Print("%d reductions canceled \n",strat->cel);
3006 HCord=strat->HCord;
3007 delete(strat);
3008 if ((delete_w)&&(w!=NULL)&&(*w!=NULL)) delete *w;
3009 assume(idIsInV(r));
3010 return r;
3011 }
3012 #endif
3013
3014 //##############################################################
3015 //##############################################################
3016 //##############################################################
3017 //##############################################################
3018 //##############################################################
3019
kMin_std(ideal F,ideal Q,tHomog h,intvec ** w,ideal & M,intvec * hilb,int syzComp,int reduced)3020 ideal kMin_std(ideal F, ideal Q, tHomog h,intvec ** w, ideal &M, intvec *hilb,
3021 int syzComp, int reduced)
3022 {
3023 if(idIs0(F))
3024 {
3025 M=idInit(1,F->rank);
3026 return idInit(1,F->rank);
3027 }
3028 if(rField_is_Ring(currRing))
3029 {
3030 ideal sb;
3031 sb = kStd(F, Q, h, w, hilb);
3032 idSkipZeroes(sb);
3033 if(IDELEMS(sb) <= IDELEMS(F))
3034 {
3035 M = idCopy(sb);
3036 idSkipZeroes(M);
3037 return(sb);
3038 }
3039 else
3040 {
3041 M = idCopy(F);
3042 idSkipZeroes(M);
3043 return(sb);
3044 }
3045 }
3046 ideal r=NULL;
3047 int Kstd1_OldDeg = Kstd1_deg,i;
3048 intvec* temp_w=NULL;
3049 BOOLEAN b=currRing->pLexOrder,toReset=FALSE;
3050 BOOLEAN delete_w=(w==NULL);
3051 BOOLEAN oldDegBound=TEST_OPT_DEGBOUND;
3052 kStrategy strat=new skStrategy;
3053
3054 if(!TEST_OPT_RETURN_SB)
3055 strat->syzComp = syzComp;
3056 if (rField_has_simple_inverse(currRing))
3057 strat->LazyPass=20;
3058 else
3059 strat->LazyPass=2;
3060 strat->LazyDegree = 1;
3061 strat->minim=(reduced % 2)+1;
3062 strat->ak = id_RankFreeModule(F,currRing);
3063 if (delete_w)
3064 {
3065 temp_w=new intvec((strat->ak)+1);
3066 w = &temp_w;
3067 }
3068 if (h==testHomog)
3069 {
3070 if (strat->ak == 0)
3071 {
3072 h = (tHomog)idHomIdeal(F,Q);
3073 w=NULL;
3074 }
3075 else
3076 {
3077 h = (tHomog)idHomModule(F,Q,w);
3078 }
3079 }
3080 if (h==isHomog)
3081 {
3082 if (strat->ak > 0 && (w!=NULL) && (*w!=NULL))
3083 {
3084 kModW = *w;
3085 strat->kModW = *w;
3086 assume(currRing->pFDeg != NULL && currRing->pLDeg != NULL);
3087 strat->pOrigFDeg = currRing->pFDeg;
3088 strat->pOrigLDeg = currRing->pLDeg;
3089 pSetDegProcs(currRing,kModDeg);
3090
3091 toReset = TRUE;
3092 if (reduced>1)
3093 {
3094 Kstd1_OldDeg=Kstd1_deg;
3095 Kstd1_deg = -1;
3096 for (i=IDELEMS(F)-1;i>=0;i--)
3097 {
3098 if ((F->m[i]!=NULL) && (currRing->pFDeg(F->m[i],currRing)>=Kstd1_deg))
3099 Kstd1_deg = currRing->pFDeg(F->m[i],currRing)+1;
3100 }
3101 }
3102 }
3103 currRing->pLexOrder = TRUE;
3104 strat->LazyPass*=2;
3105 }
3106 strat->homog=h;
3107 if (rHasLocalOrMixedOrdering(currRing))
3108 {
3109 if (w!=NULL)
3110 r=mora(F,Q,*w,hilb,strat);
3111 else
3112 r=mora(F,Q,NULL,hilb,strat);
3113 }
3114 else
3115 {
3116 if (w!=NULL)
3117 r=bba(F,Q,*w,hilb,strat);
3118 else
3119 r=bba(F,Q,NULL,hilb,strat);
3120 }
3121 #ifdef KDEBUG
3122 {
3123 int i;
3124 for (i=IDELEMS(r)-1; i>=0; i--) pTest(r->m[i]);
3125 }
3126 #endif
3127 idSkipZeroes(r);
3128 if (toReset)
3129 {
3130 pRestoreDegProcs(currRing,strat->pOrigFDeg, strat->pOrigLDeg);
3131 kModW = NULL;
3132 }
3133 currRing->pLexOrder = b;
3134 HCord=strat->HCord;
3135 if ((delete_w)&&(temp_w!=NULL)) delete temp_w;
3136 if ((IDELEMS(r)==1) && (r->m[0]!=NULL) && pIsConstant(r->m[0]) && (strat->ak==0))
3137 {
3138 M=idInit(1,F->rank);
3139 M->m[0]=pOne();
3140 //if (strat->ak!=0) { pSetComp(M->m[0],strat->ak); pSetmComp(M->m[0]); }
3141 if (strat->M!=NULL) idDelete(&strat->M);
3142 }
3143 else if (strat->M==NULL)
3144 {
3145 M=idInit(1,F->rank);
3146 WarnS("no minimal generating set computed");
3147 }
3148 else
3149 {
3150 idSkipZeroes(strat->M);
3151 M=strat->M;
3152 }
3153 delete(strat);
3154 if (reduced>2)
3155 {
3156 Kstd1_deg=Kstd1_OldDeg;
3157 if (!oldDegBound)
3158 si_opt_1 &= ~Sy_bit(OPT_DEGBOUND);
3159 }
3160 else
3161 {
3162 if (IDELEMS(M)>IDELEMS(r)) {
3163 idDelete(&M);
3164 M=idCopy(r); }
3165 }
3166 return r;
3167 }
3168
kNF(ideal F,ideal Q,poly p,int syzComp,int lazyReduce)3169 poly kNF(ideal F, ideal Q, poly p,int syzComp, int lazyReduce)
3170 {
3171 if (p==NULL)
3172 return NULL;
3173
3174 poly pp = p;
3175
3176 #ifdef HAVE_PLURAL
3177 if(rIsSCA(currRing))
3178 {
3179 const unsigned int m_iFirstAltVar = scaFirstAltVar(currRing);
3180 const unsigned int m_iLastAltVar = scaLastAltVar(currRing);
3181 pp = p_KillSquares(pp, m_iFirstAltVar, m_iLastAltVar, currRing);
3182
3183 if(Q == currRing->qideal)
3184 Q = SCAQuotient(currRing);
3185 }
3186 #endif
3187
3188 if ((idIs0(F))&&(Q==NULL))
3189 {
3190 #ifdef HAVE_PLURAL
3191 if(p != pp)
3192 return pp;
3193 #endif
3194 return pCopy(p); /*F+Q=0*/
3195 }
3196
3197 kStrategy strat=new skStrategy;
3198 strat->syzComp = syzComp;
3199 strat->ak = si_max(id_RankFreeModule(F,currRing),pMaxComp(p));
3200 poly res;
3201
3202 if (rHasLocalOrMixedOrdering(currRing))
3203 {
3204 #ifdef HAVE_SHIFTBBA
3205 if (currRing->isLPring)
3206 {
3207 WerrorS("No local ordering possible for shift algebra");
3208 return(NULL);
3209 }
3210 #endif
3211 res=kNF1(F,Q,pp,strat,lazyReduce);
3212 }
3213 else
3214 res=kNF2(F,Q,pp,strat,lazyReduce);
3215 delete(strat);
3216
3217 #ifdef HAVE_PLURAL
3218 if(pp != p)
3219 p_Delete(&pp, currRing);
3220 #endif
3221 return res;
3222 }
3223
kNFBound(ideal F,ideal Q,poly p,int bound,int syzComp,int lazyReduce)3224 poly kNFBound(ideal F, ideal Q, poly p,int bound,int syzComp, int lazyReduce)
3225 {
3226 if (p==NULL)
3227 return NULL;
3228
3229 poly pp = p;
3230
3231 #ifdef HAVE_PLURAL
3232 if(rIsSCA(currRing))
3233 {
3234 const unsigned int m_iFirstAltVar = scaFirstAltVar(currRing);
3235 const unsigned int m_iLastAltVar = scaLastAltVar(currRing);
3236 pp = p_KillSquares(pp, m_iFirstAltVar, m_iLastAltVar, currRing);
3237
3238 if(Q == currRing->qideal)
3239 Q = SCAQuotient(currRing);
3240 }
3241 #endif
3242
3243 if ((idIs0(F))&&(Q==NULL))
3244 {
3245 #ifdef HAVE_PLURAL
3246 if(p != pp)
3247 return pp;
3248 #endif
3249 return pCopy(p); /*F+Q=0*/
3250 }
3251
3252 kStrategy strat=new skStrategy;
3253 strat->syzComp = syzComp;
3254 strat->ak = si_max(id_RankFreeModule(F,currRing),pMaxComp(p));
3255 poly res;
3256 res=kNF2Bound(F,Q,pp,bound,strat,lazyReduce);
3257 delete(strat);
3258
3259 #ifdef HAVE_PLURAL
3260 if(pp != p)
3261 p_Delete(&pp, currRing);
3262 #endif
3263 return res;
3264 }
3265
kNF(ideal F,ideal Q,ideal p,int syzComp,int lazyReduce)3266 ideal kNF(ideal F, ideal Q, ideal p,int syzComp,int lazyReduce)
3267 {
3268 ideal res;
3269 if (TEST_OPT_PROT)
3270 {
3271 Print("(S:%d)",IDELEMS(p));mflush();
3272 }
3273 if (idIs0(p))
3274 return idInit(IDELEMS(p),si_max(p->rank,F->rank));
3275
3276 ideal pp = p;
3277 #ifdef HAVE_PLURAL
3278 if(rIsSCA(currRing))
3279 {
3280 const unsigned int m_iFirstAltVar = scaFirstAltVar(currRing);
3281 const unsigned int m_iLastAltVar = scaLastAltVar(currRing);
3282 pp = id_KillSquares(pp, m_iFirstAltVar, m_iLastAltVar, currRing, false);
3283
3284 if(Q == currRing->qideal)
3285 Q = SCAQuotient(currRing);
3286 }
3287 #endif
3288
3289 if ((idIs0(F))&&(Q==NULL))
3290 {
3291 #ifdef HAVE_PLURAL
3292 if(p != pp)
3293 return pp;
3294 #endif
3295 return idCopy(p); /*F+Q=0*/
3296 }
3297
3298 kStrategy strat=new skStrategy;
3299 strat->syzComp = syzComp;
3300 strat->ak = si_max(id_RankFreeModule(F,currRing),id_RankFreeModule(p,currRing));
3301 if (strat->ak>0) // only for module case, see Tst/Short/bug_reduce.tst
3302 {
3303 strat->ak = si_max(strat->ak,(int)F->rank);
3304 }
3305
3306 if (rHasLocalOrMixedOrdering(currRing))
3307 {
3308 #ifdef HAVE_SHIFTBBA
3309 if (currRing->isLPring)
3310 {
3311 WerrorS("No local ordering possible for shift algebra");
3312 return(NULL);
3313 }
3314 #endif
3315 res=kNF1(F,Q,pp,strat,lazyReduce);
3316 }
3317 else
3318 res=kNF2(F,Q,pp,strat,lazyReduce);
3319 delete(strat);
3320
3321 #ifdef HAVE_PLURAL
3322 if(pp != p)
3323 id_Delete(&pp, currRing);
3324 #endif
3325
3326 return res;
3327 }
3328
kNFBound(ideal F,ideal Q,ideal p,int bound,int syzComp,int lazyReduce)3329 ideal kNFBound(ideal F, ideal Q, ideal p,int bound,int syzComp,int lazyReduce)
3330 {
3331 ideal res;
3332 if (TEST_OPT_PROT)
3333 {
3334 Print("(S:%d)",IDELEMS(p));mflush();
3335 }
3336 if (idIs0(p))
3337 return idInit(IDELEMS(p),si_max(p->rank,F->rank));
3338
3339 ideal pp = p;
3340 #ifdef HAVE_PLURAL
3341 if(rIsSCA(currRing))
3342 {
3343 const unsigned int m_iFirstAltVar = scaFirstAltVar(currRing);
3344 const unsigned int m_iLastAltVar = scaLastAltVar(currRing);
3345 pp = id_KillSquares(pp, m_iFirstAltVar, m_iLastAltVar, currRing, false);
3346
3347 if(Q == currRing->qideal)
3348 Q = SCAQuotient(currRing);
3349 }
3350 #endif
3351
3352 if ((idIs0(F))&&(Q==NULL))
3353 {
3354 #ifdef HAVE_PLURAL
3355 if(p != pp)
3356 return pp;
3357 #endif
3358 return idCopy(p); /*F+Q=0*/
3359 }
3360
3361 kStrategy strat=new skStrategy;
3362 strat->syzComp = syzComp;
3363 strat->ak = si_max(id_RankFreeModule(F,currRing),id_RankFreeModule(p,currRing));
3364 if (strat->ak>0) // only for module case, see Tst/Short/bug_reduce.tst
3365 {
3366 strat->ak = si_max(strat->ak,(int)F->rank);
3367 }
3368
3369 res=kNF2Bound(F,Q,pp,bound,strat,lazyReduce);
3370 delete(strat);
3371
3372 #ifdef HAVE_PLURAL
3373 if(pp != p)
3374 id_Delete(&pp, currRing);
3375 #endif
3376
3377 return res;
3378 }
3379
k_NF(ideal F,ideal Q,poly p,int syzComp,int lazyReduce,const ring _currRing)3380 poly k_NF (ideal F, ideal Q, poly p,int syzComp, int lazyReduce, const ring _currRing)
3381 {
3382 const ring save = currRing;
3383 if( currRing != _currRing ) rChangeCurrRing(_currRing);
3384 poly ret = kNF(F, Q, p, syzComp, lazyReduce);
3385 if( currRing != save ) rChangeCurrRing(save);
3386 return ret;
3387 }
3388
3389 /*2
3390 *interreduces F
3391 */
3392 // old version
kInterRedOld(ideal F,ideal Q)3393 ideal kInterRedOld (ideal F, ideal Q)
3394 {
3395 int j;
3396 kStrategy strat = new skStrategy;
3397
3398 ideal tempF = F;
3399 ideal tempQ = Q;
3400
3401 #ifdef HAVE_PLURAL
3402 if(rIsSCA(currRing))
3403 {
3404 const unsigned int m_iFirstAltVar = scaFirstAltVar(currRing);
3405 const unsigned int m_iLastAltVar = scaLastAltVar(currRing);
3406 tempF = id_KillSquares(F, m_iFirstAltVar, m_iLastAltVar, currRing);
3407
3408 // this should be done on the upper level!!! :
3409 // tempQ = SCAQuotient(currRing);
3410
3411 if(Q == currRing->qideal)
3412 tempQ = SCAQuotient(currRing);
3413 }
3414 #endif
3415
3416 // if (TEST_OPT_PROT)
3417 // {
3418 // writeTime("start InterRed:");
3419 // mflush();
3420 // }
3421 //strat->syzComp = 0;
3422 strat->kHEdgeFound = (currRing->ppNoether) != NULL;
3423 strat->kNoether=pCopy((currRing->ppNoether));
3424 strat->ak = id_RankFreeModule(tempF,currRing);
3425 initBuchMoraCrit(strat);
3426 strat->NotUsedAxis = (BOOLEAN *)omAlloc(((currRing->N)+1)*sizeof(BOOLEAN));
3427 for (j=(currRing->N); j>0; j--) strat->NotUsedAxis[j] = TRUE;
3428 strat->enterS = enterSBba;
3429 strat->posInT = posInT17;
3430 strat->initEcart = initEcartNormal;
3431 strat->sl = -1;
3432 strat->tl = -1;
3433 strat->tmax = setmaxT;
3434 strat->T = initT();
3435 strat->R = initR();
3436 strat->sevT = initsevT();
3437 if (rHasLocalOrMixedOrdering(currRing)) strat->honey = TRUE;
3438 initS(tempF, tempQ, strat);
3439 if (TEST_OPT_REDSB)
3440 strat->noTailReduction=FALSE;
3441 updateS(TRUE,strat);
3442 if (TEST_OPT_REDSB && TEST_OPT_INTSTRATEGY)
3443 completeReduce(strat);
3444 //else if (TEST_OPT_PROT) PrintLn();
3445 cleanT(strat);
3446 if (strat->kHEdge!=NULL) pLmFree(&strat->kHEdge);
3447 omFreeSize((ADDRESS)strat->T,strat->tmax*sizeof(TObject));
3448 omFreeSize((ADDRESS)strat->ecartS,IDELEMS(strat->Shdl)*sizeof(int));
3449 omFreeSize((ADDRESS)strat->sevS,IDELEMS(strat->Shdl)*sizeof(unsigned long));
3450 omFreeSize((ADDRESS)strat->NotUsedAxis,((currRing->N)+1)*sizeof(BOOLEAN));
3451 omfree(strat->sevT);
3452 omfree(strat->S_2_R);
3453 omfree(strat->R);
3454
3455 if (strat->fromQ)
3456 {
3457 for (j=IDELEMS(strat->Shdl)-1;j>=0;j--)
3458 {
3459 if(strat->fromQ[j]) pDelete(&strat->Shdl->m[j]);
3460 }
3461 omFreeSize((ADDRESS)strat->fromQ,IDELEMS(strat->Shdl)*sizeof(int));
3462 }
3463 // if (TEST_OPT_PROT)
3464 // {
3465 // writeTime("end Interred:");
3466 // mflush();
3467 // }
3468 ideal shdl=strat->Shdl;
3469 idSkipZeroes(shdl);
3470 if (strat->fromQ)
3471 {
3472 strat->fromQ=NULL;
3473 ideal res=kInterRed(shdl,NULL);
3474 idDelete(&shdl);
3475 shdl=res;
3476 }
3477 delete(strat);
3478 #ifdef HAVE_PLURAL
3479 if( tempF != F )
3480 id_Delete( &tempF, currRing);
3481 #endif
3482 return shdl;
3483 }
3484 // new version
kInterRedBba(ideal F,ideal Q,int & need_retry)3485 ideal kInterRedBba (ideal F, ideal Q, int &need_retry)
3486 {
3487 need_retry=0;
3488 int red_result = 1;
3489 int olddeg,reduc;
3490 BOOLEAN withT = FALSE;
3491 // BOOLEAN toReset=FALSE;
3492 kStrategy strat=new skStrategy;
3493 tHomog h;
3494
3495 if (rField_has_simple_inverse(currRing))
3496 strat->LazyPass=20;
3497 else
3498 strat->LazyPass=2;
3499 strat->LazyDegree = 1;
3500 strat->ak = id_RankFreeModule(F,currRing);
3501 strat->syzComp = strat->ak;
3502 strat->kModW=kModW=NULL;
3503 strat->kHomW=kHomW=NULL;
3504 if (strat->ak == 0)
3505 {
3506 h = (tHomog)idHomIdeal(F,Q);
3507 }
3508 else if (!TEST_OPT_DEGBOUND)
3509 {
3510 h = (tHomog)idHomIdeal(F,Q);
3511 }
3512 else
3513 h = isNotHomog;
3514 if (h==isHomog)
3515 {
3516 strat->LazyPass*=2;
3517 }
3518 strat->homog=h;
3519 #ifdef KDEBUG
3520 idTest(F);
3521 #endif
3522
3523 initBuchMoraCrit(strat); /*set Gebauer, honey, sugarCrit*/
3524 if(rField_is_Ring(currRing))
3525 initBuchMoraPosRing(strat);
3526 else
3527 initBuchMoraPos(strat);
3528 initBba(strat);
3529 /*set enterS, spSpolyShort, reduce, red, initEcart, initEcartPair*/
3530 strat->posInL=posInL0; /* ord according pComp */
3531
3532 /*Shdl=*/initBuchMora(F, Q, strat);
3533 reduc = olddeg = 0;
3534
3535 #ifndef NO_BUCKETS
3536 if (!TEST_OPT_NOT_BUCKETS)
3537 strat->use_buckets = 1;
3538 #endif
3539
3540 // redtailBBa against T for inhomogenous input
3541 if (!TEST_OPT_OLDSTD)
3542 withT = ! strat->homog;
3543
3544 // strat->posInT = posInT_pLength;
3545 kTest_TS(strat);
3546
3547 #ifdef HAVE_TAIL_RING
3548 kStratInitChangeTailRing(strat);
3549 #endif
3550
3551 /* compute------------------------------------------------------- */
3552 while (strat->Ll >= 0)
3553 {
3554 #ifdef KDEBUG
3555 if (TEST_OPT_DEBUG) messageSets(strat);
3556 #endif
3557 if (strat->Ll== 0) strat->interpt=TRUE;
3558 /* picks the last element from the lazyset L */
3559 strat->P = strat->L[strat->Ll];
3560 strat->Ll--;
3561
3562 if (strat->P.p1 == NULL)
3563 {
3564 // for input polys, prepare reduction
3565 strat->P.PrepareRed(strat->use_buckets);
3566 }
3567
3568 if (strat->P.p == NULL && strat->P.t_p == NULL)
3569 {
3570 red_result = 0;
3571 }
3572 else
3573 {
3574 if (TEST_OPT_PROT)
3575 message(strat->P.pFDeg(),
3576 &olddeg,&reduc,strat, red_result);
3577
3578 /* reduction of the element chosen from L */
3579 red_result = strat->red(&strat->P,strat);
3580 }
3581
3582 // reduction to non-zero new poly
3583 if (red_result == 1)
3584 {
3585 /* statistic */
3586 if (TEST_OPT_PROT) PrintS("s");
3587
3588 // get the polynomial (canonicalize bucket, make sure P.p is set)
3589 strat->P.GetP(strat->lmBin);
3590
3591 int pos=posInS(strat,strat->sl,strat->P.p,strat->P.ecart);
3592
3593 // reduce the tail and normalize poly
3594 // in the ring case we cannot expect LC(f) = 1,
3595 // therefore we call pCleardenom instead of pNorm
3596 if ((TEST_OPT_INTSTRATEGY) || (rField_is_Ring(currRing)))
3597 {
3598 strat->P.pCleardenom();
3599 if (0)
3600 //if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL))
3601 {
3602 strat->P.p = redtailBba(&(strat->P),pos-1,strat, withT);
3603 strat->P.pCleardenom();
3604 }
3605 }
3606 else
3607 {
3608 strat->P.pNorm();
3609 if (0)
3610 //if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL))
3611 strat->P.p = redtailBba(&(strat->P),pos-1,strat, withT);
3612 }
3613
3614 #ifdef KDEBUG
3615 if (TEST_OPT_DEBUG){PrintS("new s:");strat->P.wrp();PrintLn();}
3616 #endif
3617
3618 // enter into S, L, and T
3619 if ((!TEST_OPT_IDLIFT) || (pGetComp(strat->P.p) <= strat->syzComp))
3620 {
3621 enterT(strat->P, strat);
3622 // posInS only depends on the leading term
3623 strat->enterS(strat->P, pos, strat, strat->tl);
3624
3625 if (pos<strat->sl)
3626 {
3627 need_retry++;
3628 // move all "larger" elements fromS to L
3629 // remove them from T
3630 int ii=pos+1;
3631 for(;ii<=strat->sl;ii++)
3632 {
3633 LObject h;
3634 h.Clear();
3635 h.tailRing=strat->tailRing;
3636 h.p=strat->S[ii]; strat->S[ii]=NULL;
3637 strat->initEcart(&h);
3638 h.sev=strat->sevS[ii];
3639 int jj=strat->tl;
3640 while (jj>=0)
3641 {
3642 if (strat->T[jj].p==h.p)
3643 {
3644 strat->T[jj].p=NULL;
3645 if (jj<strat->tl)
3646 {
3647 memmove(&(strat->T[jj]),&(strat->T[jj+1]),
3648 (strat->tl-jj)*sizeof(strat->T[jj]));
3649 memmove(&(strat->sevT[jj]),&(strat->sevT[jj+1]),
3650 (strat->tl-jj)*sizeof(strat->sevT[jj]));
3651 }
3652 strat->tl--;
3653 break;
3654 }
3655 jj--;
3656 }
3657 int lpos=strat->posInL(strat->L,strat->Ll,&h,strat);
3658 enterL(&strat->L,&strat->Ll,&strat->Lmax,h,lpos);
3659 #ifdef KDEBUG
3660 if (TEST_OPT_DEBUG)
3661 {
3662 Print("move S[%d] -> L[%d]: ",ii,pos);
3663 p_wrp(h.p,currRing, strat->tailRing);
3664 PrintLn();
3665 }
3666 #endif
3667 }
3668 if (strat->fromQ!=NULL)
3669 {
3670 for(ii=pos+1;ii<=strat->sl;ii++) strat->fromQ[ii]=0;
3671 }
3672 strat->sl=pos;
3673 }
3674 }
3675 else
3676 {
3677 // clean P
3678 }
3679 kDeleteLcm(&strat->P);
3680 }
3681
3682 #ifdef KDEBUG
3683 if (TEST_OPT_DEBUG)
3684 {
3685 messageSets(strat);
3686 }
3687 strat->P.Clear();
3688 #endif
3689 //kTest_TS(strat);: i_r out of sync in kInterRedBba, but not used!
3690 }
3691 #ifdef KDEBUG
3692 //if (TEST_OPT_DEBUG) messageSets(strat);
3693 #endif
3694 /* complete reduction of the standard basis--------- */
3695
3696 if((need_retry<=0) && (TEST_OPT_REDSB))
3697 {
3698 completeReduce(strat);
3699 if (strat->completeReduce_retry)
3700 {
3701 // completeReduce needed larger exponents, retry
3702 // hopefully: kStratChangeTailRing already provided a larger tailRing
3703 // (otherwise: it will fail again)
3704 strat->completeReduce_retry=FALSE;
3705 completeReduce(strat);
3706 if (strat->completeReduce_retry)
3707 {
3708 #ifdef HAVE_TAIL_RING
3709 if(currRing->bitmask>strat->tailRing->bitmask)
3710 {
3711 // retry without T
3712 strat->completeReduce_retry=FALSE;
3713 cleanT(strat);strat->tailRing=currRing;
3714 int i;
3715 for(i=strat->sl;i>=0;i--) strat->S_2_R[i]=-1;
3716 completeReduce(strat);
3717 }
3718 if (strat->completeReduce_retry)
3719 #endif
3720 Werror("exponent bound is %ld",currRing->bitmask);
3721 }
3722 }
3723 }
3724 else if (TEST_OPT_PROT) PrintLn();
3725
3726
3727 /* release temp data-------------------------------- */
3728 exitBuchMora(strat);
3729 // if (TEST_OPT_WEIGHTM)
3730 // {
3731 // pRestoreDegProcs(currRing,strat->pOrigFDeg, strat->pOrigLDeg);
3732 // if (ecartWeights)
3733 // {
3734 // omFreeSize((ADDRESS)ecartWeights,((currRing->N)+1)*sizeof(short));
3735 // ecartWeights=NULL;
3736 // }
3737 // }
3738 //if (TEST_OPT_PROT) messageStat(0/*hilbcount*/,strat);
3739 if (Q!=NULL) updateResult(strat->Shdl,Q,strat);
3740 ideal res=strat->Shdl;
3741 strat->Shdl=NULL;
3742 delete strat;
3743 return res;
3744 }
kInterRed(ideal F,ideal Q)3745 ideal kInterRed (ideal F, ideal Q)
3746 {
3747 #ifdef HAVE_PLURAL
3748 if(rIsPluralRing(currRing)) return kInterRedOld(F,Q);
3749 #endif
3750 if ((rHasLocalOrMixedOrdering(currRing))|| (rField_is_numeric(currRing))
3751 ||(rField_is_Ring(currRing))
3752 )
3753 return kInterRedOld(F,Q);
3754
3755 //return kInterRedOld(F,Q);
3756
3757 BITSET save1;
3758 SI_SAVE_OPT1(save1);
3759 //si_opt_1|=Sy_bit(OPT_NOT_SUGAR);
3760 si_opt_1|=Sy_bit(OPT_REDTHROUGH);
3761 //si_opt_1&= ~Sy_bit(OPT_REDTAIL);
3762 //si_opt_1&= ~Sy_bit(OPT_REDSB);
3763 //extern char * showOption() ;
3764 //Print("%s\n",showOption());
3765
3766 int need_retry;
3767 int counter=3;
3768 ideal res, res1;
3769 int elems;
3770 ideal null=NULL;
3771 if ((Q==NULL) || (!TEST_OPT_REDSB))
3772 {
3773 elems=idElem(F);
3774 res=kInterRedBba(F,Q,need_retry);
3775 }
3776 else
3777 {
3778 ideal FF=idSimpleAdd(F,Q);
3779 res=kInterRedBba(FF,NULL,need_retry);
3780 idDelete(&FF);
3781 null=idInit(1,1);
3782 if (need_retry)
3783 res1=kNF(null,Q,res,0,KSTD_NF_LAZY);
3784 else
3785 res1=kNF(null,Q,res);
3786 idDelete(&res);
3787 res=res1;
3788 need_retry=1;
3789 }
3790 if (idElem(res)<=1) need_retry=0;
3791 while (need_retry && (counter>0))
3792 {
3793 #ifdef KDEBUG
3794 if (TEST_OPT_DEBUG) { Print("retry counter %d\n",counter); }
3795 #endif
3796 res1=kInterRedBba(res,Q,need_retry);
3797 int new_elems=idElem(res1);
3798 counter -= (new_elems >= elems);
3799 elems = new_elems;
3800 idDelete(&res);
3801 if (idElem(res1)<=1) need_retry=0;
3802 if ((Q!=NULL) && (TEST_OPT_REDSB))
3803 {
3804 if (need_retry)
3805 res=kNF(null,Q,res1,0,KSTD_NF_LAZY);
3806 else
3807 res=kNF(null,Q,res1);
3808 idDelete(&res1);
3809 }
3810 else
3811 res = res1;
3812 if (idElem(res)<=1) need_retry=0;
3813 }
3814 if (null!=NULL) idDelete(&null);
3815 SI_RESTORE_OPT1(save1);
3816 idSkipZeroes(res);
3817 return res;
3818 }
3819
3820 // returns TRUE if mora should use buckets, false otherwise
kMoraUseBucket(kStrategy strat)3821 static BOOLEAN kMoraUseBucket(kStrategy strat)
3822 {
3823 #ifdef MORA_USE_BUCKETS
3824 if (TEST_OPT_NOT_BUCKETS)
3825 return FALSE;
3826 if (strat->red == redFirst)
3827 {
3828 #ifdef NO_LDEG
3829 if (strat->syzComp==0)
3830 return TRUE;
3831 #else
3832 if ((strat->homog || strat->honey) && (strat->syzComp==0))
3833 return TRUE;
3834 #endif
3835 }
3836 else
3837 {
3838 #ifdef HAVE_RINGS
3839 assume(strat->red == redEcart || strat->red == redRiloc);
3840 #else
3841 assume(strat->red == redEcart);
3842 #endif
3843 if (strat->honey && (strat->syzComp==0))
3844 return TRUE;
3845 }
3846 #endif
3847 return FALSE;
3848 }
3849