1 | #define PLURAL_INTERNAL_DECLARATIONS |
---|
2 | |
---|
3 | #include "config.h" |
---|
4 | #include "mod2.h" |
---|
5 | #include <misc/auxiliary.h> |
---|
6 | |
---|
7 | #include <misc/options.h> |
---|
8 | |
---|
9 | #include <polys/simpleideals.h> |
---|
10 | #include <polys/prCopy.h> |
---|
11 | |
---|
12 | #include <polys/nc/sca.h> |
---|
13 | #include <polys/nc/gb_hack.h> |
---|
14 | |
---|
15 | #include "polys.h" |
---|
16 | #include "ideals.h" |
---|
17 | #include "kstd1.h" |
---|
18 | #include "kutil.h" |
---|
19 | |
---|
20 | #include "nc.h" |
---|
21 | |
---|
22 | /// nc_gr_initBba is needed for sca_gr_bba and gr_bba. |
---|
23 | void nc_gr_initBba(ideal F, kStrategy strat); // from gr_kstd2.cc! |
---|
24 | |
---|
25 | void addLObject(LObject& h, kStrategy& strat) |
---|
26 | { |
---|
27 | if(h.IsNull()) return; |
---|
28 | |
---|
29 | strat->initEcart(&h); |
---|
30 | h.sev=0; // pGetShortExpVector(h.p); |
---|
31 | |
---|
32 | // add h into S and L |
---|
33 | int pos=posInS(strat, strat->sl, h.p, h.ecart); |
---|
34 | |
---|
35 | if ( (pos <= strat->sl) && (p_ComparePolys(h.p, strat->S[pos], currRing)) ) |
---|
36 | { |
---|
37 | if (TEST_OPT_PROT) |
---|
38 | PrintS("d\n"); |
---|
39 | } |
---|
40 | else |
---|
41 | { |
---|
42 | if (TEST_OPT_INTSTRATEGY) |
---|
43 | { |
---|
44 | p_Cleardenom(h.p, currRing); |
---|
45 | } |
---|
46 | else |
---|
47 | { |
---|
48 | pNorm(h.p); |
---|
49 | p_Content(h.p,currRing); |
---|
50 | } |
---|
51 | |
---|
52 | if ((strat->syzComp==0)||(!strat->homog)) |
---|
53 | { |
---|
54 | h.p = redtailBba(h.p,pos-1,strat); |
---|
55 | |
---|
56 | if (TEST_OPT_INTSTRATEGY) |
---|
57 | { |
---|
58 | // pCleardenom(h.p); |
---|
59 | p_Content(h.p,currRing); |
---|
60 | } |
---|
61 | else |
---|
62 | { |
---|
63 | pNorm(h.p); |
---|
64 | } |
---|
65 | } |
---|
66 | |
---|
67 | if(h.IsNull()) return; |
---|
68 | |
---|
69 | // statistic |
---|
70 | if (TEST_OPT_PROT) |
---|
71 | { |
---|
72 | PrintS("s\n"); |
---|
73 | } |
---|
74 | |
---|
75 | #ifdef KDEBUG |
---|
76 | if (TEST_OPT_DEBUG) |
---|
77 | { |
---|
78 | PrintS("new s:"); |
---|
79 | wrp(h.p); |
---|
80 | PrintLn(); |
---|
81 | } |
---|
82 | #endif |
---|
83 | |
---|
84 | enterpairs(h.p, strat->sl, h.ecart, 0, strat); |
---|
85 | |
---|
86 | pos=0; |
---|
87 | |
---|
88 | if (strat->sl!=-1) pos = posInS(strat, strat->sl, h.p, h.ecart); |
---|
89 | strat->enterS(h, pos, strat, -1); |
---|
90 | // enterT(h, strat); // ?! |
---|
91 | |
---|
92 | if (h.lcm!=NULL) pLmFree(h.lcm); |
---|
93 | } |
---|
94 | |
---|
95 | |
---|
96 | } |
---|
97 | |
---|
98 | |
---|
99 | ideal sca_gr_bba(const ideal F, const ideal Q, const intvec *, const intvec *, kStrategy strat, const ring _currRing) |
---|
100 | { |
---|
101 | const ring save = currRing; |
---|
102 | if( currRing != _currRing ) rChangeCurrRing(_currRing); |
---|
103 | assume( currRing == _currRing ); |
---|
104 | |
---|
105 | |
---|
106 | #if MYTEST |
---|
107 | PrintS("<sca_gr_bba>\n"); |
---|
108 | #endif |
---|
109 | |
---|
110 | assume(rIsSCA(currRing)); |
---|
111 | |
---|
112 | #ifndef NDEBUG |
---|
113 | idTest(F); |
---|
114 | idTest(Q); |
---|
115 | #endif |
---|
116 | |
---|
117 | #ifdef HAVE_PLURAL |
---|
118 | #if MYTEST |
---|
119 | PrintS("currRing: \n"); |
---|
120 | rWrite(currRing); |
---|
121 | #ifdef RDEBUG |
---|
122 | rDebugPrint(currRing); |
---|
123 | #endif |
---|
124 | |
---|
125 | PrintS("F: \n"); |
---|
126 | idPrint(F); |
---|
127 | PrintS("Q: \n"); |
---|
128 | idPrint(Q); |
---|
129 | #endif |
---|
130 | #endif |
---|
131 | |
---|
132 | |
---|
133 | const unsigned int m_iFirstAltVar = scaFirstAltVar(currRing); |
---|
134 | const unsigned int m_iLastAltVar = scaLastAltVar(currRing); |
---|
135 | |
---|
136 | ideal tempF = id_KillSquares(F, m_iFirstAltVar, m_iLastAltVar, currRing); |
---|
137 | ideal tempQ = Q; |
---|
138 | |
---|
139 | if(Q == currQuotient) |
---|
140 | tempQ = SCAQuotient(currRing); |
---|
141 | |
---|
142 | strat->z2homog = id_IsSCAHomogeneous(tempF, NULL, NULL, currRing); // wCx == wCy == NULL! |
---|
143 | // redo: no_prod_crit |
---|
144 | const BOOLEAN bIsSCA = rIsSCA(currRing) && strat->z2homog; // for Z_2 prod-crit |
---|
145 | strat->no_prod_crit = ! bIsSCA; |
---|
146 | |
---|
147 | // strat->homog = strat->homog && strat->z2homog; // ? |
---|
148 | |
---|
149 | #if MYTEST |
---|
150 | { |
---|
151 | PrintS("ideal tempF: \n"); |
---|
152 | idPrint(tempF); |
---|
153 | PrintS("ideal tempQ: \n"); |
---|
154 | idPrint(tempQ); |
---|
155 | } |
---|
156 | #endif |
---|
157 | |
---|
158 | #ifdef KDEBUG |
---|
159 | om_Opts.MinTrack = 5; |
---|
160 | #endif |
---|
161 | |
---|
162 | int olddeg, reduc; |
---|
163 | int red_result = 1; |
---|
164 | // int hilbeledeg = 1, minimcnt = 0; |
---|
165 | int hilbcount = 0; |
---|
166 | |
---|
167 | initBuchMoraCrit(strat); // set Gebauer, honey, sugarCrit |
---|
168 | |
---|
169 | nc_gr_initBba(tempF,strat); // set enterS, red, initEcart, initEcartPair |
---|
170 | |
---|
171 | initBuchMoraPos(strat); |
---|
172 | |
---|
173 | |
---|
174 | // ?? set spSpolyShort, reduce ??? |
---|
175 | |
---|
176 | initBuchMora(tempF, tempQ, strat); // SCAQuotient(currRing) instead of Q == squares!!!!!!! |
---|
177 | |
---|
178 | strat->posInT=posInT110; // !!! |
---|
179 | |
---|
180 | reduc = olddeg = 0; |
---|
181 | |
---|
182 | |
---|
183 | // compute------------------------------------------------------- |
---|
184 | for(; strat->Ll >= 0; |
---|
185 | #ifdef KDEBUG |
---|
186 | strat->P.lcm = NULL, |
---|
187 | #endif |
---|
188 | kTest(strat) |
---|
189 | ) |
---|
190 | { |
---|
191 | #ifdef KDEBUG |
---|
192 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
193 | #endif |
---|
194 | |
---|
195 | if (strat->Ll== 0) strat->interpt=TRUE; |
---|
196 | |
---|
197 | if (TEST_OPT_DEGBOUND |
---|
198 | && ((strat->honey |
---|
199 | && (strat->L[strat->Ll].ecart+ currRing->pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)) |
---|
200 | || ((!strat->honey) && (currRing->pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)))) |
---|
201 | { |
---|
202 | // stops computation if |
---|
203 | // 24 IN test and the degree +ecart of L[strat->Ll] is bigger then |
---|
204 | // a predefined number Kstd1_deg |
---|
205 | while (strat->Ll >= 0) deleteInL(strat->L,&strat->Ll,strat->Ll,strat); |
---|
206 | break; |
---|
207 | } |
---|
208 | |
---|
209 | // picks the last element from the lazyset L |
---|
210 | strat->P = strat->L[strat->Ll]; |
---|
211 | strat->Ll--; |
---|
212 | |
---|
213 | //kTest(strat); |
---|
214 | |
---|
215 | // assume(pNext(strat->P.p) != strat->tail); // !??? |
---|
216 | if(strat->P.IsNull()) continue; |
---|
217 | |
---|
218 | |
---|
219 | if( pNext(strat->P.p) == strat->tail ) |
---|
220 | { |
---|
221 | // deletes the int spoly and computes SPoly |
---|
222 | pLmFree(strat->P.p); // ??? |
---|
223 | strat->P.p = nc_CreateSpoly(strat->P.p1, strat->P.p2, currRing); |
---|
224 | } |
---|
225 | |
---|
226 | if(strat->P.IsNull()) continue; |
---|
227 | |
---|
228 | // poly save = NULL; |
---|
229 | // |
---|
230 | // if(pNext(strat->P.p) != NULL) |
---|
231 | // save = p_Copy(strat->P.p, currRing); |
---|
232 | |
---|
233 | strat->initEcart(&strat->P); // remove it? |
---|
234 | |
---|
235 | if (TEST_OPT_PROT) |
---|
236 | message((strat->honey ? strat->P.ecart : 0) + strat->P.pFDeg(), &olddeg,&reduc,strat, red_result); |
---|
237 | |
---|
238 | // reduction of the element chosen from L wrt S |
---|
239 | strat->red(&strat->P,strat); |
---|
240 | |
---|
241 | if(strat->P.IsNull()) continue; |
---|
242 | |
---|
243 | addLObject(strat->P, strat); |
---|
244 | |
---|
245 | const poly save = strat->P.p; |
---|
246 | |
---|
247 | #ifdef PDEBUG |
---|
248 | p_Test(save, currRing); |
---|
249 | #endif |
---|
250 | assume( save != NULL ); |
---|
251 | |
---|
252 | // SCA Specials: |
---|
253 | |
---|
254 | { |
---|
255 | const poly p_next = pNext(save); |
---|
256 | |
---|
257 | if( p_next != NULL ) |
---|
258 | for( unsigned int i = m_iFirstAltVar; i <= m_iLastAltVar; i++ ) |
---|
259 | if( p_GetExp(save, i, currRing) != 0 ) |
---|
260 | { |
---|
261 | assume(p_GetExp(save, i, currRing) == 1); |
---|
262 | |
---|
263 | const poly tt = sca_pp_Mult_xi_pp(i, p_next, currRing); |
---|
264 | |
---|
265 | #ifdef PDEBUG |
---|
266 | p_Test(tt, currRing); |
---|
267 | #endif |
---|
268 | |
---|
269 | if( tt == NULL) continue; |
---|
270 | |
---|
271 | LObject h(tt); // h = x_i * P |
---|
272 | |
---|
273 | if (TEST_OPT_INTSTRATEGY) |
---|
274 | { |
---|
275 | // h.pCleardenom(); // also does a p_Content |
---|
276 | p_Content(h.p,currRing); |
---|
277 | } |
---|
278 | else |
---|
279 | { |
---|
280 | h.pNorm(); |
---|
281 | } |
---|
282 | |
---|
283 | strat->initEcart(&h); |
---|
284 | |
---|
285 | |
---|
286 | // if (pOrdSgn==-1) |
---|
287 | // { |
---|
288 | // cancelunit(&h); // tries to cancel a unit |
---|
289 | // deleteHC(&h, strat); |
---|
290 | // } |
---|
291 | |
---|
292 | // if(h.IsNull()) continue; |
---|
293 | |
---|
294 | // if (TEST_OPT_PROT) |
---|
295 | // message((strat->honey ? h.ecart : 0) + h.pFDeg(), &olddeg, &reduc, strat, red_result); |
---|
296 | |
---|
297 | // strat->red(&h, strat); // wrt S |
---|
298 | // if(h.IsNull()) continue; |
---|
299 | |
---|
300 | // poly save = p_Copy(h.p, currRing); |
---|
301 | |
---|
302 | int pos; |
---|
303 | |
---|
304 | if (strat->Ll==-1) |
---|
305 | pos =0; |
---|
306 | else |
---|
307 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
---|
308 | |
---|
309 | h.sev = pGetShortExpVector(h.p); |
---|
310 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos); |
---|
311 | |
---|
312 | // h.p = save; |
---|
313 | // addLObject(h, strat); |
---|
314 | } |
---|
315 | |
---|
316 | // p_Delete( &save, currRing ); |
---|
317 | } |
---|
318 | |
---|
319 | |
---|
320 | } // for(;;) |
---|
321 | |
---|
322 | |
---|
323 | #ifdef KDEBUG |
---|
324 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
325 | #endif |
---|
326 | |
---|
327 | if (TEST_OPT_REDSB){ |
---|
328 | completeReduce(strat); // ??? |
---|
329 | } |
---|
330 | |
---|
331 | // release temp data-------------------------------- |
---|
332 | exitBuchMora(strat); |
---|
333 | |
---|
334 | // if (TEST_OPT_WEIGHTM) |
---|
335 | // { |
---|
336 | // pRestoreDegProcs(currRing,pFDegOld, pLDegOld); |
---|
337 | // if (ecartWeights) |
---|
338 | // { |
---|
339 | // omFreeSize((ADDRESS)ecartWeights,(rVar(currRing)+1)*sizeof(int)); |
---|
340 | // ecartWeights=NULL; |
---|
341 | // } |
---|
342 | // } |
---|
343 | |
---|
344 | if (TEST_OPT_PROT) messageStat(hilbcount,strat); |
---|
345 | |
---|
346 | if (tempQ!=NULL) updateResult(strat->Shdl,tempQ,strat); |
---|
347 | |
---|
348 | id_Delete(&tempF, currRing); |
---|
349 | |
---|
350 | |
---|
351 | // complete reduction of the standard basis--------- |
---|
352 | if (TEST_OPT_REDSB){ |
---|
353 | ideal I = strat->Shdl; |
---|
354 | ideal erg = kInterRedOld(I,tempQ); |
---|
355 | assume(I!=erg); |
---|
356 | id_Delete(&I, currRing); |
---|
357 | strat->Shdl = erg; |
---|
358 | } |
---|
359 | |
---|
360 | |
---|
361 | #if MYTEST |
---|
362 | // PrintS("</sca_gr_bba>\n"); |
---|
363 | #endif |
---|
364 | |
---|
365 | if( currRing != save ) rChangeCurrRing(save); |
---|
366 | |
---|
367 | return (strat->Shdl); |
---|
368 | } |
---|
369 | |
---|
370 | |
---|
371 | |
---|
372 | /////////////////////////////////////////////////////////////////////////////////////// |
---|
373 | //************* SCA BBA *************************************************************// |
---|
374 | /////////////////////////////////////////////////////////////////////////////////////// |
---|
375 | |
---|
376 | // Under development!!! |
---|
377 | ideal sca_bba (const ideal F, const ideal Q, const intvec */*w*/, const intvec * /*hilb*/, kStrategy strat, const ring _currRing) |
---|
378 | { |
---|
379 | const ring save = currRing; |
---|
380 | if( currRing != _currRing ) rChangeCurrRing(_currRing); |
---|
381 | assume( currRing == _currRing ); |
---|
382 | |
---|
383 | #if MYTEST |
---|
384 | PrintS("\n\n<sca_bba>\n\n"); |
---|
385 | #endif |
---|
386 | |
---|
387 | assume(rIsSCA(currRing)); |
---|
388 | |
---|
389 | #ifndef NDEBUG |
---|
390 | idTest(F); |
---|
391 | idTest(Q); |
---|
392 | #endif |
---|
393 | |
---|
394 | #if MYTEST |
---|
395 | PrintS("\ncurrRing: \n"); |
---|
396 | rWrite(currRing); |
---|
397 | #ifdef RDEBUG |
---|
398 | // rDebugPrint(currRing); |
---|
399 | #endif |
---|
400 | |
---|
401 | PrintS("\n\nF: \n"); |
---|
402 | idPrint(F); |
---|
403 | PrintS("\n\nQ: \n"); |
---|
404 | idPrint(Q); |
---|
405 | |
---|
406 | PrintLn(); |
---|
407 | #endif |
---|
408 | |
---|
409 | |
---|
410 | const unsigned int m_iFirstAltVar = scaFirstAltVar(currRing); |
---|
411 | const unsigned int m_iLastAltVar = scaLastAltVar(currRing); |
---|
412 | |
---|
413 | ideal tempF = id_KillSquares(F, m_iFirstAltVar, m_iLastAltVar, currRing); |
---|
414 | |
---|
415 | ideal tempQ = Q; |
---|
416 | |
---|
417 | if(Q == currQuotient) |
---|
418 | tempQ = SCAQuotient(currRing); |
---|
419 | |
---|
420 | // Q or tempQ will not be used below :((( |
---|
421 | |
---|
422 | |
---|
423 | #if MYTEST |
---|
424 | |
---|
425 | PrintS("tempF: \n"); |
---|
426 | idPrint(tempF); |
---|
427 | PrintS("tempQ: \n"); |
---|
428 | idPrint(tempQ); |
---|
429 | #endif |
---|
430 | |
---|
431 | strat->z2homog = id_IsSCAHomogeneous(tempF, NULL, NULL, currRing); // wCx == wCy == NULL! |
---|
432 | // redo no_prod_crit: |
---|
433 | const BOOLEAN bIsSCA = rIsSCA(currRing) && strat->z2homog; // for Z_2 prod-crit |
---|
434 | strat->no_prod_crit = ! bIsSCA; |
---|
435 | |
---|
436 | // strat->homog = strat->homog && strat->z2homog; // ? |
---|
437 | |
---|
438 | |
---|
439 | |
---|
440 | #ifdef KDEBUG |
---|
441 | om_Opts.MinTrack = 5; |
---|
442 | #endif |
---|
443 | |
---|
444 | int red_result = 1; |
---|
445 | int olddeg, reduc; |
---|
446 | |
---|
447 | // int hilbeledeg = 1, minimcnt = 0; |
---|
448 | int hilbcount = 0; |
---|
449 | |
---|
450 | BOOLEAN withT = FALSE; |
---|
451 | |
---|
452 | initBuchMoraCrit(strat); // sets Gebauer, honey, sugarCrit // sca - ok??? |
---|
453 | initBuchMoraPos(strat); // sets strat->posInL, strat->posInT // check!! (Plural's: ) |
---|
454 | |
---|
455 | // initHilbCrit(F, Q, &hilb, strat); |
---|
456 | |
---|
457 | // nc_gr_initBba(F,strat); |
---|
458 | initBba(tempF, strat); // set enterS, red, initEcart, initEcartPair |
---|
459 | |
---|
460 | // set enterS, spSpolyShort, reduce, red, initEcart, initEcartPair |
---|
461 | // ?? set spSpolyShort, reduce ??? |
---|
462 | initBuchMora(tempF, tempQ, strat); // tempQ = Q without squares!!! |
---|
463 | |
---|
464 | // if (strat->minim>0) strat->M = idInit(IDELEMS(F),F->rank); |
---|
465 | |
---|
466 | reduc = olddeg = 0; |
---|
467 | |
---|
468 | #define NO_BUCKETS |
---|
469 | |
---|
470 | #ifndef NO_BUCKETS |
---|
471 | if (!TEST_OPT_NOT_BUCKETS) |
---|
472 | strat->use_buckets = 1; |
---|
473 | #endif |
---|
474 | |
---|
475 | // redtailBBa against T for inhomogenous input |
---|
476 | if (!TEST_OPT_OLDSTD) |
---|
477 | withT = ! strat->homog; |
---|
478 | |
---|
479 | // strat->posInT = posInT_pLength; |
---|
480 | assume(kTest_TS(strat)); |
---|
481 | |
---|
482 | #undef HAVE_TAIL_RING |
---|
483 | |
---|
484 | #ifdef HAVE_TAIL_RING |
---|
485 | if(!idIs0(F) &&(!rField_is_Ring())) // create strong gcd poly computes with tailring and S[i] ->to be fixed |
---|
486 | kStratInitChangeTailRing(strat); |
---|
487 | #endif |
---|
488 | if (BVERBOSE(23)) |
---|
489 | { |
---|
490 | if (test_PosInT!=NULL) strat->posInT=test_PosInT; |
---|
491 | if (test_PosInL!=NULL) strat->posInL=test_PosInL; |
---|
492 | kDebugPrint(strat); |
---|
493 | } |
---|
494 | |
---|
495 | |
---|
496 | /////////////////////////////////////////////////////////////// |
---|
497 | // SCA: |
---|
498 | |
---|
499 | // due to std( SB, p). |
---|
500 | // Note that after initBuchMora :: initSSpecial all these additional |
---|
501 | // elements are in S and T (and some pairs are in L, which also has no initiall |
---|
502 | // elements!!!) |
---|
503 | if(TEST_OPT_SB_1) |
---|
504 | { |
---|
505 | // For all additional elements... |
---|
506 | for (int iNewElement = strat->newIdeal; iNewElement < IDELEMS(tempF); iNewElement++) |
---|
507 | { |
---|
508 | const poly pSave = tempF->m[iNewElement]; |
---|
509 | |
---|
510 | if( pSave != NULL ) |
---|
511 | { |
---|
512 | // tempF->m[iNewElement] = NULL; |
---|
513 | |
---|
514 | const poly p_next = pNext(pSave); |
---|
515 | |
---|
516 | if(p_next != NULL) |
---|
517 | for( unsigned int i = m_iFirstAltVar; i <= m_iLastAltVar; i++ ) |
---|
518 | if( p_GetExp(pSave, i, currRing) != 0 ) |
---|
519 | { |
---|
520 | assume(p_GetExp(pSave, i, currRing) == 1); |
---|
521 | |
---|
522 | const poly p_new = sca_pp_Mult_xi_pp(i, p_next, currRing); |
---|
523 | |
---|
524 | #ifdef PDEBUG |
---|
525 | p_Test(p_new, currRing); |
---|
526 | #endif |
---|
527 | |
---|
528 | if( p_new == NULL) continue; |
---|
529 | |
---|
530 | LObject h(p_new); // h = x_i * strat->P |
---|
531 | h.is_special = TRUE; |
---|
532 | |
---|
533 | if (TEST_OPT_INTSTRATEGY) |
---|
534 | h.pCleardenom(); // also does a p_Content |
---|
535 | else |
---|
536 | h.pNorm(); |
---|
537 | |
---|
538 | strat->initEcart(&h); |
---|
539 | h.sev = pGetShortExpVector(h.p); |
---|
540 | |
---|
541 | int pos = 0; |
---|
542 | |
---|
543 | if (strat->Ll != -1) |
---|
544 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
---|
545 | |
---|
546 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos); |
---|
547 | } |
---|
548 | } |
---|
549 | } |
---|
550 | } |
---|
551 | |
---|
552 | // compute------------------------------------------------------- |
---|
553 | while (strat->Ll >= 0) |
---|
554 | { |
---|
555 | #ifdef KDEBUG |
---|
556 | // loop_count++; |
---|
557 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
558 | #endif |
---|
559 | |
---|
560 | if (strat->Ll== 0) strat->interpt=TRUE; |
---|
561 | |
---|
562 | if (TEST_OPT_DEGBOUND |
---|
563 | && ((strat->honey && (strat->L[strat->Ll].ecart+currRing->pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)) |
---|
564 | || ((!strat->honey) && (currRing->pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)))) |
---|
565 | { |
---|
566 | |
---|
567 | #ifdef KDEBUG |
---|
568 | // if (TEST_OPT_DEBUG){PrintS("^^^^?");} |
---|
569 | #endif |
---|
570 | |
---|
571 | // *stops computation if |
---|
572 | // * 24 IN test and the degree +ecart of L[strat->Ll] is bigger then |
---|
573 | // *a predefined number Kstd1_deg |
---|
574 | while ((strat->Ll >= 0) |
---|
575 | && ( (strat->homog==isHomog) || strat->L[strat->Ll].is_special || ((strat->L[strat->Ll].p1!=NULL) && (strat->L[strat->Ll].p2!=NULL)) ) |
---|
576 | && ((strat->honey && (strat->L[strat->Ll].ecart+currRing->pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)) |
---|
577 | || ((!strat->honey) && (currRing->pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg))) |
---|
578 | ) |
---|
579 | { |
---|
580 | #ifdef KDEBUG |
---|
581 | // if (TEST_OPT_DEBUG){PrintS("^^^^^^^^^^^^!!!!");} |
---|
582 | #endif |
---|
583 | deleteInL(strat->L,&strat->Ll,strat->Ll,strat); |
---|
584 | // if (TEST_OPT_PROT) PrintS("^!"); |
---|
585 | } |
---|
586 | if (strat->Ll<0) break; |
---|
587 | else strat->noClearS=TRUE; |
---|
588 | } |
---|
589 | |
---|
590 | // picks the last element from the lazyset L |
---|
591 | strat->P = strat->L[strat->Ll]; |
---|
592 | strat->Ll--; |
---|
593 | |
---|
594 | |
---|
595 | // assume(pNext(strat->P.p) != strat->tail); |
---|
596 | |
---|
597 | if(strat->P.IsNull()) continue; |
---|
598 | |
---|
599 | if (pNext(strat->P.p) == strat->tail) |
---|
600 | { |
---|
601 | // deletes the short spoly |
---|
602 | pLmFree(strat->P.p); |
---|
603 | |
---|
604 | strat->P.p = nc_CreateSpoly(strat->P.p1, strat->P.p2, currRing); |
---|
605 | if (strat->P.p!=NULL) strat->initEcart(&strat->P); |
---|
606 | }// else |
---|
607 | |
---|
608 | |
---|
609 | if(strat->P.IsNull()) continue; |
---|
610 | |
---|
611 | if (strat->P.p1 == NULL) |
---|
612 | { |
---|
613 | // if (strat->minim > 0) |
---|
614 | // strat->P.p2=p_Copy(strat->P.p, currRing, strat->tailRing); |
---|
615 | |
---|
616 | |
---|
617 | // for input polys, prepare reduction |
---|
618 | strat->P.PrepareRed(strat->use_buckets); |
---|
619 | } |
---|
620 | |
---|
621 | if (TEST_OPT_PROT) |
---|
622 | message((strat->honey ? strat->P.ecart : 0) + strat->P.pFDeg(), |
---|
623 | &olddeg,&reduc,strat, red_result); |
---|
624 | |
---|
625 | // reduction of the element choosen from L |
---|
626 | red_result = strat->red(&strat->P,strat); |
---|
627 | |
---|
628 | |
---|
629 | // reduction to non-zero new poly |
---|
630 | if (red_result == 1) |
---|
631 | { |
---|
632 | // statistic |
---|
633 | if (TEST_OPT_PROT) PrintS("s"); |
---|
634 | |
---|
635 | // get the polynomial (canonicalize bucket, make sure P.p is set) |
---|
636 | strat->P.GetP(strat->lmBin); |
---|
637 | |
---|
638 | int pos = posInS(strat,strat->sl,strat->P.p,strat->P.ecart); |
---|
639 | |
---|
640 | // reduce the tail and normalize poly |
---|
641 | if (TEST_OPT_INTSTRATEGY) |
---|
642 | { |
---|
643 | strat->P.pCleardenom(); |
---|
644 | if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL)) |
---|
645 | { |
---|
646 | strat->P.p = redtailBba(&(strat->P),pos-1,strat, withT); // !!! |
---|
647 | strat->P.pCleardenom(); |
---|
648 | } |
---|
649 | } |
---|
650 | else |
---|
651 | { |
---|
652 | strat->P.pNorm(); |
---|
653 | if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL)) |
---|
654 | strat->P.p = redtailBba(&(strat->P),pos-1,strat, withT); |
---|
655 | } |
---|
656 | strat->P.is_normalized=nIsOne(pGetCoeff(strat->P.p)); |
---|
657 | |
---|
658 | #ifdef KDEBUG |
---|
659 | if (TEST_OPT_DEBUG){PrintS(" ns:");p_wrp(strat->P.p,currRing);PrintLn();} |
---|
660 | #endif |
---|
661 | |
---|
662 | // // min_std stuff |
---|
663 | // if ((strat->P.p1==NULL) && (strat->minim>0)) |
---|
664 | // { |
---|
665 | // if (strat->minim==1) |
---|
666 | // { |
---|
667 | // strat->M->m[minimcnt]=p_Copy(strat->P.p,currRing,strat->tailRing); |
---|
668 | // p_Delete(&strat->P.p2, currRing, strat->tailRing); |
---|
669 | // } |
---|
670 | // else |
---|
671 | // { |
---|
672 | // strat->M->m[minimcnt]=strat->P.p2; |
---|
673 | // strat->P.p2=NULL; |
---|
674 | // } |
---|
675 | // if (strat->tailRing!=currRing && pNext(strat->M->m[minimcnt])!=NULL) |
---|
676 | // pNext(strat->M->m[minimcnt]) |
---|
677 | // = strat->p_shallow_copy_delete(pNext(strat->M->m[minimcnt]), |
---|
678 | // strat->tailRing, currRing, |
---|
679 | // currRing->PolyBin); |
---|
680 | // minimcnt++; |
---|
681 | // } |
---|
682 | |
---|
683 | // enter into S, L, and T |
---|
684 | //if(withT) |
---|
685 | enterT(strat->P, strat); |
---|
686 | |
---|
687 | // L |
---|
688 | enterpairs(strat->P.p,strat->sl,strat->P.ecart,pos,strat, strat->tl); |
---|
689 | |
---|
690 | // posInS only depends on the leading term |
---|
691 | strat->enterS(strat->P, pos, strat, strat->tl); |
---|
692 | |
---|
693 | // if (hilb!=NULL) khCheck(Q,w,hilb,hilbeledeg,hilbcount,strat); |
---|
694 | |
---|
695 | // Print("[%d]",hilbeledeg); |
---|
696 | if (strat->P.lcm!=NULL) pLmFree(strat->P.lcm); |
---|
697 | |
---|
698 | // ////////////////////////////////////////////////////////// |
---|
699 | // SCA: |
---|
700 | const poly pSave = strat->P.p; |
---|
701 | const poly p_next = pNext(pSave); |
---|
702 | |
---|
703 | // if(0) |
---|
704 | if( p_next != NULL ) |
---|
705 | for( unsigned int i = m_iFirstAltVar; i <= m_iLastAltVar; i++ ) |
---|
706 | if( p_GetExp(pSave, i, currRing) != 0 ) |
---|
707 | { |
---|
708 | assume(p_GetExp(pSave, i, currRing) == 1); |
---|
709 | const poly p_new = sca_pp_Mult_xi_pp(i, p_next, currRing); |
---|
710 | |
---|
711 | #ifdef PDEBUG |
---|
712 | p_Test(p_new, currRing); |
---|
713 | #endif |
---|
714 | |
---|
715 | if( p_new == NULL) continue; |
---|
716 | |
---|
717 | LObject h(p_new); // h = x_i * strat->P |
---|
718 | |
---|
719 | h.is_special = TRUE; |
---|
720 | |
---|
721 | if (TEST_OPT_INTSTRATEGY) |
---|
722 | { |
---|
723 | // p_Content(h.p); |
---|
724 | h.pCleardenom(); // also does a p_Content |
---|
725 | } |
---|
726 | else |
---|
727 | { |
---|
728 | h.pNorm(); |
---|
729 | } |
---|
730 | |
---|
731 | strat->initEcart(&h); |
---|
732 | h.sev = pGetShortExpVector(h.p); |
---|
733 | |
---|
734 | int pos = 0; |
---|
735 | |
---|
736 | if (strat->Ll != -1) |
---|
737 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
---|
738 | |
---|
739 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos); |
---|
740 | |
---|
741 | |
---|
742 | |
---|
743 | |
---|
744 | #if 0 |
---|
745 | h.sev = pGetShortExpVector(h.p); |
---|
746 | strat->initEcart(&h); |
---|
747 | |
---|
748 | h.PrepareRed(strat->use_buckets); |
---|
749 | |
---|
750 | // reduction of the element choosen from L(?) |
---|
751 | red_result = strat->red(&h,strat); |
---|
752 | |
---|
753 | // reduction to non-zero new poly |
---|
754 | if (red_result != 1) continue; |
---|
755 | |
---|
756 | |
---|
757 | int pos = posInS(strat,strat->sl,h.p,h.ecart); |
---|
758 | |
---|
759 | // reduce the tail and normalize poly |
---|
760 | if (TEST_OPT_INTSTRATEGY) |
---|
761 | { |
---|
762 | h.pCleardenom(); |
---|
763 | if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL)) |
---|
764 | { |
---|
765 | h.p = redtailBba(&(h),pos-1,strat, withT); // !!! |
---|
766 | h.pCleardenom(); |
---|
767 | } |
---|
768 | } |
---|
769 | else |
---|
770 | { |
---|
771 | h.pNorm(); |
---|
772 | if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL)) |
---|
773 | h.p = redtailBba(&(h),pos-1,strat, withT); |
---|
774 | } |
---|
775 | |
---|
776 | #ifdef KDEBUG |
---|
777 | if (TEST_OPT_DEBUG){PrintS(" N:");h.wrp();PrintLn();} |
---|
778 | #endif |
---|
779 | |
---|
780 | // h.PrepareRed(strat->use_buckets); // ??? |
---|
781 | |
---|
782 | h.sev = pGetShortExpVector(h.p); |
---|
783 | strat->initEcart(&h); |
---|
784 | |
---|
785 | if (strat->Ll==-1) |
---|
786 | pos = 0; |
---|
787 | else |
---|
788 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
---|
789 | |
---|
790 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos); |
---|
791 | // the end of "#if 0" (comment) |
---|
792 | #endif |
---|
793 | |
---|
794 | } // for all x_i \in Ann(lm(P)) |
---|
795 | } // if red(P) != NULL |
---|
796 | |
---|
797 | // else if (strat->P.p1 == NULL && strat->minim > 0) |
---|
798 | // { |
---|
799 | // p_Delete(&strat->P.p2, currRing, strat->tailRing); |
---|
800 | // } |
---|
801 | |
---|
802 | #ifdef KDEBUG |
---|
803 | // memset(&(strat->P), 0, sizeof(strat->P)); |
---|
804 | #endif |
---|
805 | |
---|
806 | assume(kTest_TS(strat)); // even of T is not used! |
---|
807 | |
---|
808 | // Print("\n$\n"); |
---|
809 | |
---|
810 | } |
---|
811 | |
---|
812 | #ifdef KDEBUG |
---|
813 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
814 | #endif |
---|
815 | |
---|
816 | // complete reduction of the standard basis--------- |
---|
817 | |
---|
818 | if (TEST_OPT_REDSB) |
---|
819 | { |
---|
820 | completeReduce(strat); |
---|
821 | } |
---|
822 | |
---|
823 | //release temp data-------------------------------- |
---|
824 | |
---|
825 | exitBuchMora(strat); // cleanT! |
---|
826 | |
---|
827 | id_Delete(&tempF, currRing); |
---|
828 | |
---|
829 | // if (TEST_OPT_WEIGHTM) |
---|
830 | // { |
---|
831 | // pRestoreDegProcs(currRing, pFDegOld, pLDegOld); |
---|
832 | // if (ecartWeights) |
---|
833 | // { |
---|
834 | // omFreeSize((ADDRESS)ecartWeights,(rVar(currRing)+1)*sizeof(short)); |
---|
835 | // ecartWeights=NULL; |
---|
836 | // } |
---|
837 | // } |
---|
838 | |
---|
839 | if (TEST_OPT_PROT) messageStat(hilbcount,strat); |
---|
840 | |
---|
841 | |
---|
842 | |
---|
843 | if (tempQ!=NULL) updateResult(strat->Shdl,tempQ,strat); |
---|
844 | |
---|
845 | |
---|
846 | if (TEST_OPT_REDSB) // ??? |
---|
847 | { |
---|
848 | // must be at the very end (after exitBuchMora) as it changes the S set!!! |
---|
849 | ideal I = strat->Shdl; |
---|
850 | ideal erg = kInterRedOld(I,tempQ); |
---|
851 | assume(I!=erg); |
---|
852 | id_Delete(&I, currRing); |
---|
853 | strat->Shdl = erg; |
---|
854 | } |
---|
855 | |
---|
856 | #if MYTEST |
---|
857 | PrintS("\n\n</sca_bba>\n\n"); |
---|
858 | #endif |
---|
859 | |
---|
860 | if( currRing != save ) rChangeCurrRing(save); |
---|
861 | |
---|
862 | return (strat->Shdl); |
---|
863 | } |
---|
864 | |
---|
865 | // ////////////////////////////////////////////////////////////////////////////// |
---|
866 | // sca mora... |
---|
867 | |
---|
868 | // returns TRUE if mora should use buckets, false otherwise |
---|
869 | #ifdef MORA_USE_BUCKETS |
---|
870 | static BOOLEAN kMoraUseBucket(kStrategy strat) |
---|
871 | #else |
---|
872 | static BOOLEAN kMoraUseBucket(kStrategy) |
---|
873 | #endif |
---|
874 | { |
---|
875 | #ifdef MORA_USE_BUCKETS |
---|
876 | if (TEST_OPT_NOT_BUCKETS) |
---|
877 | return FALSE; |
---|
878 | if (strat->red == redFirst) |
---|
879 | { |
---|
880 | #ifdef NO_LDEG |
---|
881 | if (!strat->syzComp) |
---|
882 | return TRUE; |
---|
883 | #else |
---|
884 | if ((strat->homog || strat->honey) && !strat->syzComp) |
---|
885 | return TRUE; |
---|
886 | #endif |
---|
887 | } |
---|
888 | else |
---|
889 | { |
---|
890 | assume(strat->red == redEcart); |
---|
891 | if (strat->honey && !strat->syzComp) |
---|
892 | return TRUE; |
---|
893 | } |
---|
894 | #endif |
---|
895 | return FALSE; |
---|
896 | } |
---|
897 | |
---|
898 | #ifdef HAVE_ASSUME |
---|
899 | static int sca_mora_count = 0; |
---|
900 | static int sca_mora_loop_count; |
---|
901 | #endif |
---|
902 | |
---|
903 | // ideal sca_mora (ideal F, ideal Q, intvec *w, intvec *, kStrategy strat) |
---|
904 | ideal sca_mora(const ideal F, const ideal Q, const intvec */*w*/, const intvec *, kStrategy strat, const ring _currRing) |
---|
905 | { |
---|
906 | const ring save = currRing; |
---|
907 | if( currRing != _currRing ) rChangeCurrRing(_currRing); |
---|
908 | assume( currRing == _currRing ); |
---|
909 | |
---|
910 | assume(rIsSCA(currRing)); |
---|
911 | |
---|
912 | const unsigned int m_iFirstAltVar = scaFirstAltVar(currRing); |
---|
913 | const unsigned int m_iLastAltVar = scaLastAltVar(currRing); |
---|
914 | |
---|
915 | ideal tempF = id_KillSquares(F, m_iFirstAltVar, m_iLastAltVar, currRing); |
---|
916 | |
---|
917 | ideal tempQ = Q; |
---|
918 | |
---|
919 | if(Q == currQuotient) |
---|
920 | tempQ = SCAQuotient(currRing); |
---|
921 | |
---|
922 | bool bIdHomog = id_IsSCAHomogeneous(tempF, NULL, NULL, currRing); // wCx == wCy == NULL! |
---|
923 | |
---|
924 | assume( !bIdHomog || strat->homog ); // bIdHomog =====[implies]>>>>> strat->homog |
---|
925 | |
---|
926 | strat->homog = strat->homog && bIdHomog; |
---|
927 | |
---|
928 | #ifdef PDEBUG |
---|
929 | assume( strat->homog == bIdHomog ); |
---|
930 | #endif |
---|
931 | |
---|
932 | #ifdef HAVE_ASSUME |
---|
933 | sca_mora_count++; |
---|
934 | sca_mora_loop_count = 0; |
---|
935 | #endif |
---|
936 | |
---|
937 | #ifdef KDEBUG |
---|
938 | om_Opts.MinTrack = 5; |
---|
939 | #endif |
---|
940 | |
---|
941 | |
---|
942 | strat->update = TRUE; |
---|
943 | //- setting global variables ------------------- - |
---|
944 | initBuchMoraCrit(strat); |
---|
945 | // initHilbCrit(F,NULL,&hilb,strat); // no Q! |
---|
946 | initMora(tempF, strat); |
---|
947 | initBuchMoraPos(strat); |
---|
948 | //Shdl= |
---|
949 | initBuchMora(tempF, tempQ, strat); // temp Q, F! |
---|
950 | // if (TEST_OPT_FASTHC) missingAxis(&strat->lastAxis,strat); |
---|
951 | // updateS in initBuchMora has Hecketest |
---|
952 | // * and could have put strat->kHEdgdeFound FALSE |
---|
953 | #if 0 |
---|
954 | if (ppNoether!=NULL) |
---|
955 | { |
---|
956 | strat->kHEdgeFound = TRUE; |
---|
957 | } |
---|
958 | if (strat->kHEdgeFound && strat->update) |
---|
959 | { |
---|
960 | firstUpdate(strat); |
---|
961 | updateLHC(strat); |
---|
962 | reorderL(strat); |
---|
963 | } |
---|
964 | if (TEST_OPT_FASTHC && (strat->lastAxis) && strat->posInLOldFlag) |
---|
965 | { |
---|
966 | strat->posInLOld = strat->posInL; |
---|
967 | strat->posInLOldFlag = FALSE; |
---|
968 | strat->posInL = posInL10; |
---|
969 | updateL(strat); |
---|
970 | reorderL(strat); |
---|
971 | } |
---|
972 | #endif |
---|
973 | strat->use_buckets = kMoraUseBucket(strat); |
---|
974 | |
---|
975 | assume(kTest_TS(strat)); |
---|
976 | |
---|
977 | |
---|
978 | int olddeg = 0; |
---|
979 | int reduc = 0; |
---|
980 | int red_result = 1; |
---|
981 | // int hilbeledeg=1; |
---|
982 | int hilbcount=0; |
---|
983 | |
---|
984 | |
---|
985 | //- compute------------------------------------------- |
---|
986 | |
---|
987 | #undef HAVE_TAIL_RING |
---|
988 | |
---|
989 | #ifdef HAVE_TAIL_RING |
---|
990 | // if (strat->homog && strat->red == redFirst) |
---|
991 | // kStratInitChangeTailRing(strat); |
---|
992 | #endif |
---|
993 | |
---|
994 | |
---|
995 | |
---|
996 | |
---|
997 | |
---|
998 | // due to std( SB, p) |
---|
999 | if(TEST_OPT_SB_1) |
---|
1000 | { |
---|
1001 | for (int iNewElement = strat->newIdeal; iNewElement < IDELEMS(tempF); iNewElement++) |
---|
1002 | { |
---|
1003 | |
---|
1004 | const poly pSave = tempF->m[iNewElement]; |
---|
1005 | |
---|
1006 | if( pSave != NULL ) |
---|
1007 | { |
---|
1008 | // tempF->m[iNewElement] = NULL; |
---|
1009 | |
---|
1010 | const poly p_next = pNext(pSave); |
---|
1011 | |
---|
1012 | if(p_next != NULL) |
---|
1013 | for( unsigned int i = m_iFirstAltVar; i <= m_iLastAltVar; i++ ) |
---|
1014 | if( p_GetExp(pSave, i, currRing) != 0 ) |
---|
1015 | { |
---|
1016 | |
---|
1017 | assume(p_GetExp(pSave, i, currRing) == 1); |
---|
1018 | |
---|
1019 | const poly p_new = sca_pp_Mult_xi_pp(i, p_next, currRing); |
---|
1020 | |
---|
1021 | #ifdef PDEBUG |
---|
1022 | p_Test(p_new, currRing); |
---|
1023 | #endif |
---|
1024 | |
---|
1025 | if( p_new == NULL) continue; |
---|
1026 | |
---|
1027 | LObject h(p_new); // h = x_i * strat->P |
---|
1028 | |
---|
1029 | if (TEST_OPT_INTSTRATEGY) |
---|
1030 | h.pCleardenom(); // also does a p_Content |
---|
1031 | else |
---|
1032 | h.pNorm(); |
---|
1033 | |
---|
1034 | strat->initEcart(&h); |
---|
1035 | h.sev = pGetShortExpVector(h.p); |
---|
1036 | |
---|
1037 | int pos = 0; |
---|
1038 | |
---|
1039 | if (strat->Ll != -1) |
---|
1040 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
---|
1041 | |
---|
1042 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos); |
---|
1043 | } |
---|
1044 | } |
---|
1045 | |
---|
1046 | } |
---|
1047 | } |
---|
1048 | |
---|
1049 | |
---|
1050 | |
---|
1051 | |
---|
1052 | while (strat->Ll >= 0) |
---|
1053 | { |
---|
1054 | #ifdef HAVE_ASSUME |
---|
1055 | sca_mora_loop_count++; |
---|
1056 | #endif |
---|
1057 | //test_int_std(strat->kIdeal); |
---|
1058 | #ifdef KDEBUG |
---|
1059 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
1060 | #endif |
---|
1061 | if (TEST_OPT_DEGBOUND |
---|
1062 | && (strat->L[strat->Ll].ecart+strat->L[strat->Ll].GetpFDeg()> Kstd1_deg)) |
---|
1063 | { |
---|
1064 | // * stops computation if |
---|
1065 | // * - 24 (degBound) |
---|
1066 | // * && upper degree is bigger than Kstd1_deg |
---|
1067 | while ((strat->Ll >= 0) |
---|
1068 | && (strat->L[strat->Ll].p1!=NULL) && (strat->L[strat->Ll].p2!=NULL) |
---|
1069 | && (strat->L[strat->Ll].ecart+strat->L[strat->Ll].GetpFDeg()> Kstd1_deg) |
---|
1070 | ) |
---|
1071 | { |
---|
1072 | deleteInL(strat->L,&strat->Ll,strat->Ll,strat); |
---|
1073 | //if (TEST_OPT_PROT) |
---|
1074 | //{ |
---|
1075 | // PrintS("D"); mflush(); |
---|
1076 | //} |
---|
1077 | } |
---|
1078 | if (strat->Ll<0) break; |
---|
1079 | else strat->noClearS=TRUE; |
---|
1080 | } |
---|
1081 | strat->P = strat->L[strat->Ll];// - picks the last element from the lazyset L - |
---|
1082 | if (strat->Ll==0) strat->interpt=TRUE; |
---|
1083 | strat->Ll--; |
---|
1084 | |
---|
1085 | // create the real Spoly |
---|
1086 | // assume(pNext(strat->P.p) != strat->tail); |
---|
1087 | |
---|
1088 | if(strat->P.IsNull()) continue; |
---|
1089 | |
---|
1090 | |
---|
1091 | if( pNext(strat->P.p) == strat->tail ) |
---|
1092 | { |
---|
1093 | // deletes the int spoly and computes SPoly |
---|
1094 | pLmFree(strat->P.p); // ??? |
---|
1095 | strat->P.p = nc_CreateSpoly(strat->P.p1, strat->P.p2, currRing); |
---|
1096 | } |
---|
1097 | |
---|
1098 | |
---|
1099 | |
---|
1100 | if (strat->P.p1 == NULL) |
---|
1101 | { |
---|
1102 | // for input polys, prepare reduction (buckets !) |
---|
1103 | strat->P.SetLength(strat->length_pLength); |
---|
1104 | strat->P.PrepareRed(strat->use_buckets); |
---|
1105 | } |
---|
1106 | |
---|
1107 | if (!strat->P.IsNull()) |
---|
1108 | { |
---|
1109 | // might be NULL from noether !!! |
---|
1110 | if (TEST_OPT_PROT) |
---|
1111 | message(strat->P.ecart+strat->P.GetpFDeg(),&olddeg,&reduc,strat, red_result); |
---|
1112 | // reduce |
---|
1113 | red_result = strat->red(&strat->P,strat); |
---|
1114 | } |
---|
1115 | |
---|
1116 | if (! strat->P.IsNull()) |
---|
1117 | { |
---|
1118 | strat->P.GetP(); |
---|
1119 | // statistics |
---|
1120 | if (TEST_OPT_PROT) PrintS("s"); |
---|
1121 | // normalization |
---|
1122 | if (!TEST_OPT_INTSTRATEGY) |
---|
1123 | strat->P.pNorm(); |
---|
1124 | // tailreduction |
---|
1125 | strat->P.p = redtail(&(strat->P),strat->sl,strat); |
---|
1126 | // set ecart -- might have changed because of tail reductions |
---|
1127 | if ((!strat->noTailReduction) && (!strat->honey)) |
---|
1128 | strat->initEcart(&strat->P); |
---|
1129 | // cancel unit |
---|
1130 | cancelunit(&strat->P); |
---|
1131 | // for char 0, clear denominators |
---|
1132 | if (TEST_OPT_INTSTRATEGY) |
---|
1133 | strat->P.pCleardenom(); |
---|
1134 | |
---|
1135 | // put in T |
---|
1136 | enterT(strat->P,strat); |
---|
1137 | // build new pairs |
---|
1138 | enterpairs(strat->P.p,strat->sl,strat->P.ecart,0,strat, strat->tl); |
---|
1139 | // put in S |
---|
1140 | strat->enterS(strat->P, |
---|
1141 | posInS(strat,strat->sl,strat->P.p, strat->P.ecart), |
---|
1142 | strat, strat->tl); |
---|
1143 | |
---|
1144 | |
---|
1145 | // clear strat->P |
---|
1146 | if (strat->P.lcm!=NULL) pLmFree(strat->P.lcm); |
---|
1147 | strat->P.lcm=NULL; |
---|
1148 | |
---|
1149 | // ////////////////////////////////////////////////////////// |
---|
1150 | // SCA: |
---|
1151 | const poly pSave = strat->P.p; |
---|
1152 | const poly p_next = pNext(pSave); |
---|
1153 | |
---|
1154 | if(p_next != NULL) |
---|
1155 | for( unsigned int i = m_iFirstAltVar; i <= m_iLastAltVar; i++ ) |
---|
1156 | if( p_GetExp(pSave, i, currRing) != 0 ) |
---|
1157 | { |
---|
1158 | |
---|
1159 | assume(p_GetExp(pSave, i, currRing) == 1); |
---|
1160 | |
---|
1161 | const poly p_new = sca_pp_Mult_xi_pp(i, p_next, currRing); |
---|
1162 | |
---|
1163 | #ifdef PDEBUG |
---|
1164 | p_Test(p_new, currRing); |
---|
1165 | #endif |
---|
1166 | |
---|
1167 | if( p_new == NULL) continue; |
---|
1168 | |
---|
1169 | LObject h(p_new); // h = x_i * strat->P |
---|
1170 | |
---|
1171 | if (TEST_OPT_INTSTRATEGY) |
---|
1172 | h.pCleardenom(); // also does a p_Content |
---|
1173 | else |
---|
1174 | h.pNorm(); |
---|
1175 | |
---|
1176 | strat->initEcart(&h); |
---|
1177 | h.sev = pGetShortExpVector(h.p); |
---|
1178 | |
---|
1179 | int pos = 0; |
---|
1180 | |
---|
1181 | if (strat->Ll != -1) |
---|
1182 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
---|
1183 | |
---|
1184 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos); |
---|
1185 | } |
---|
1186 | |
---|
1187 | #ifdef KDEBUG |
---|
1188 | // make sure kTest_TS does not complain about strat->P |
---|
1189 | memset(&strat->P,0,sizeof(strat->P)); |
---|
1190 | #endif |
---|
1191 | } |
---|
1192 | #if 0 |
---|
1193 | if (strat->kHEdgeFound) |
---|
1194 | { |
---|
1195 | if ((TEST_OPT_FINDET) |
---|
1196 | || ((TEST_OPT_MULTBOUND) && (scMult0Int((strat->Shdl)) < mu))) |
---|
1197 | { |
---|
1198 | // obachman: is this still used ??? |
---|
1199 | // * stops computation if strat->kHEdgeFound and |
---|
1200 | // * - 27 (finiteDeterminacyTest) |
---|
1201 | // * or |
---|
1202 | // * - 23 |
---|
1203 | // * (multBound) |
---|
1204 | // * && multiplicity of the ideal is smaller then a predefined number mu |
---|
1205 | while (strat->Ll >= 0) deleteInL(strat->L,&strat->Ll,strat->Ll,strat); |
---|
1206 | } |
---|
1207 | } |
---|
1208 | #endif |
---|
1209 | assume(kTest_TS(strat)); |
---|
1210 | } |
---|
1211 | // - complete reduction of the standard basis------------------------ - |
---|
1212 | if (TEST_OPT_REDSB) completeReduce(strat); |
---|
1213 | // - release temp data------------------------------- - |
---|
1214 | exitBuchMora(strat); |
---|
1215 | // - polynomials used for HECKE: HC, noether - |
---|
1216 | if (TEST_OPT_FINDET) |
---|
1217 | { |
---|
1218 | if (strat->kHEdge!=NULL) |
---|
1219 | Kstd1_mu=currRing->pFDeg(strat->kHEdge,currRing); |
---|
1220 | else |
---|
1221 | Kstd1_mu=-1; |
---|
1222 | } |
---|
1223 | pDelete(&strat->kHEdge); |
---|
1224 | strat->update = TRUE; //??? |
---|
1225 | strat->lastAxis = 0; //??? |
---|
1226 | pDelete(&strat->kNoether); |
---|
1227 | omFreeSize((ADDRESS)strat->NotUsedAxis,(rVar(currRing)+1)*sizeof(BOOLEAN)); |
---|
1228 | if (TEST_OPT_PROT) messageStat(hilbcount,strat); |
---|
1229 | // if (TEST_OPT_WEIGHTM) |
---|
1230 | // { |
---|
1231 | // pRestoreDegProcs(currRing, pFDegOld, pLDegOld); |
---|
1232 | // if (ecartWeights) |
---|
1233 | // { |
---|
1234 | // omFreeSize((ADDRESS)ecartWeights,(rVar(currRing)+1)*sizeof(short)); |
---|
1235 | // ecartWeights=NULL; |
---|
1236 | // } |
---|
1237 | // } |
---|
1238 | if (tempQ!=NULL) updateResult(strat->Shdl,tempQ,strat); |
---|
1239 | idTest(strat->Shdl); |
---|
1240 | |
---|
1241 | id_Delete( &tempF, currRing); |
---|
1242 | |
---|
1243 | if( currRing != save ) rChangeCurrRing(save); |
---|
1244 | |
---|
1245 | return (strat->Shdl); |
---|
1246 | } |
---|
1247 | |
---|