1 | /**************************************** |
---|
2 | * Computer Algebra System SINGULAR * |
---|
3 | ****************************************/ |
---|
4 | /*************************************************************** |
---|
5 | * File: fast_maps.cc |
---|
6 | * Purpose: implementation of fast maps |
---|
7 | * Author: obachman (Olaf Bachmann) |
---|
8 | * Created: 02/01 |
---|
9 | * Version: $Id$ |
---|
10 | *******************************************************************/ |
---|
11 | #include "mod2.h" |
---|
12 | #include <omalloc.h> |
---|
13 | #include "options.h" |
---|
14 | #include "p_polys.h" |
---|
15 | #include "prCopy.h" |
---|
16 | #include "ideals.h" |
---|
17 | #include "ring.h" |
---|
18 | #include "febase.h" |
---|
19 | #include "sbuckets.h" |
---|
20 | #include "fast_maps.h" |
---|
21 | |
---|
22 | // define if you want to use special dest_ring |
---|
23 | #define HAVE_DEST_R 1 |
---|
24 | // define if you want to use special src_ring |
---|
25 | #define HAVE_SRC_R 1 |
---|
26 | // define if you want to use optimization step |
---|
27 | #define HAVE_MAP_OPTIMIZE 1 |
---|
28 | |
---|
29 | /******************************************************************************* |
---|
30 | ** |
---|
31 | *F maMaxExp . . . . . . . . returns bound on maximal exponent of result of map |
---|
32 | */ |
---|
33 | // return maximal monomial if max_map_monomials are substituted into pi_m |
---|
34 | static poly maGetMaxExpP(poly* max_map_monomials, |
---|
35 | int n_max_map_monomials, ring map_r, |
---|
36 | poly pi_m, ring pi_r) |
---|
37 | { |
---|
38 | int n = si_min(pi_r->N, n_max_map_monomials); |
---|
39 | int i, j; |
---|
40 | unsigned long e_i, e_j; |
---|
41 | poly m_i=NULL; |
---|
42 | poly map_j = p_Init(map_r); |
---|
43 | |
---|
44 | for (i=1; i <= n; i++) |
---|
45 | { |
---|
46 | e_i = p_GetExp(pi_m, i, pi_r); |
---|
47 | if (e_i==0) e_i=1; |
---|
48 | m_i = max_map_monomials[i-1]; |
---|
49 | if (m_i != NULL && ! p_IsConstantComp(m_i, map_r)) |
---|
50 | { |
---|
51 | for (j = 1; j<= map_r->N; j++) |
---|
52 | { |
---|
53 | e_j = p_GetExp(m_i, j, map_r); |
---|
54 | if (e_j == 0) e_j=1; |
---|
55 | p_AddExp(map_j, j, e_j*e_i, map_r); |
---|
56 | } |
---|
57 | } |
---|
58 | } |
---|
59 | return map_j; |
---|
60 | } |
---|
61 | |
---|
62 | // returns maximal exponent if map_id is applied to pi_id |
---|
63 | static unsigned long maGetMaxExp(ideal pi_id, ring pi_r, ideal map_id, ring map_r) |
---|
64 | { |
---|
65 | unsigned long max=0; |
---|
66 | poly* max_map_monomials = (poly*) omAlloc(IDELEMS(map_id)*sizeof(poly)); |
---|
67 | poly max_pi_i, max_map_i; |
---|
68 | |
---|
69 | int i, j; |
---|
70 | for (i=0; i<IDELEMS(map_id); i++) |
---|
71 | { |
---|
72 | max_map_monomials[i] = p_GetMaxExpP(map_id->m[i], map_r); |
---|
73 | } |
---|
74 | |
---|
75 | for (i=0; i<IDELEMS(pi_id); i++) |
---|
76 | { |
---|
77 | max_pi_i = p_GetMaxExpP(pi_id->m[i], pi_r); |
---|
78 | max_map_i = maGetMaxExpP(max_map_monomials, IDELEMS(map_id), map_r, |
---|
79 | max_pi_i, pi_r); |
---|
80 | unsigned long temp = p_GetMaxExp(max_map_i, map_r); |
---|
81 | if (temp > max){ max=temp; } |
---|
82 | |
---|
83 | p_LmFree(max_pi_i, pi_r); |
---|
84 | p_LmFree(max_map_i, map_r); |
---|
85 | } |
---|
86 | for (i=0; i<IDELEMS(map_id); i++) |
---|
87 | { |
---|
88 | p_Delete(&max_map_monomials[i], map_r); |
---|
89 | } |
---|
90 | omFreeSize(max_map_monomials,IDELEMS(map_id)*sizeof(poly)); |
---|
91 | |
---|
92 | return max; |
---|
93 | } |
---|
94 | |
---|
95 | |
---|
96 | /******************************************************************************* |
---|
97 | ** |
---|
98 | *F debugging stuff |
---|
99 | */ |
---|
100 | #ifndef NDEBUG |
---|
101 | void maMonomial_Out(mapoly monomial, ring src_r, ring dest_r) |
---|
102 | { |
---|
103 | p_wrp(monomial->src, src_r); |
---|
104 | printf(" ref:%d", monomial->ref); |
---|
105 | if (dest_r != NULL) |
---|
106 | { |
---|
107 | printf(" dest:"); |
---|
108 | p_wrp(monomial->dest, dest_r); |
---|
109 | } |
---|
110 | if (monomial->f1!=NULL) { printf(" f1:%lx", (long)monomial->f1->src); |
---|
111 | // p_wrp(monomial->f1->src, src_r); |
---|
112 | } |
---|
113 | if (monomial->f2!=NULL) { printf(" f2:%lx",(long)monomial->f2->src); |
---|
114 | // p_wrp(monomial->f2->src, src_r); |
---|
115 | } |
---|
116 | printf("\n"); |
---|
117 | fflush(stdout); |
---|
118 | } |
---|
119 | |
---|
120 | void maPoly_Out(mapoly mpoly, ring src_r, ring dest_r) |
---|
121 | { |
---|
122 | while (mpoly != NULL) |
---|
123 | { |
---|
124 | maMonomial_Out(mpoly, src_r, dest_r); |
---|
125 | mpoly = mpoly->next; |
---|
126 | } |
---|
127 | } |
---|
128 | #endif |
---|
129 | |
---|
130 | /******************************************************************************* |
---|
131 | ** |
---|
132 | *F mapolyCreate . . . . . . . . . . . . . . . Creates mapoly |
---|
133 | */ |
---|
134 | static omBin mapolyBin = omGetSpecBin(sizeof(mapoly_s)); |
---|
135 | static omBin macoeffBin = omGetSpecBin(sizeof(macoeff_s)); |
---|
136 | |
---|
137 | mapoly maMonomial_Create(poly p, ring r_p, sBucket_pt bucket) |
---|
138 | { |
---|
139 | mapoly mp = (mapoly) omAlloc0Bin(mapolyBin); |
---|
140 | //p_wrp(p,r_p);printf(" (%x) created\n",mp); |
---|
141 | mp->src = p; |
---|
142 | p->next = NULL; |
---|
143 | |
---|
144 | if (bucket != NULL) |
---|
145 | { |
---|
146 | mp->coeff = (macoeff) omAlloc0Bin(macoeffBin); |
---|
147 | mp->coeff->bucket = bucket; |
---|
148 | mp->coeff->n = pGetCoeff(p); |
---|
149 | } |
---|
150 | mp->ref = 1; |
---|
151 | return mp; |
---|
152 | } |
---|
153 | |
---|
154 | void maMonomial_Destroy(mapoly mp, ring src_r, ring dest_r) |
---|
155 | { |
---|
156 | if (mp != NULL) |
---|
157 | { |
---|
158 | p_LmFree(mp->src, src_r); |
---|
159 | if (mp->coeff != NULL) |
---|
160 | { |
---|
161 | macoeff coeff, next = mp->coeff; |
---|
162 | do |
---|
163 | { |
---|
164 | coeff = next; |
---|
165 | next = coeff->next; |
---|
166 | omFreeBin(coeff, macoeffBin); |
---|
167 | } |
---|
168 | while (next != NULL); |
---|
169 | if (mp->dest != NULL) |
---|
170 | { |
---|
171 | assume(dest_r != NULL); |
---|
172 | p_Delete(&(mp->dest), dest_r); |
---|
173 | } |
---|
174 | } |
---|
175 | } |
---|
176 | omFreeBin(mp, mapolyBin); |
---|
177 | } |
---|
178 | |
---|
179 | /******************************************************************************* |
---|
180 | ** |
---|
181 | *F maPoly_InsertMonomial . . . . . . . . .insertion of a monomial into mapoly |
---|
182 | */ |
---|
183 | mapoly maPoly_InsertMonomial(mapoly &into, mapoly what, ring src_r) |
---|
184 | { |
---|
185 | if (into == NULL) |
---|
186 | { |
---|
187 | into = what; |
---|
188 | return what; |
---|
189 | } |
---|
190 | |
---|
191 | mapoly iter = into; |
---|
192 | mapoly prev = NULL; |
---|
193 | |
---|
194 | Top: |
---|
195 | p_LmCmpAction(iter->src, what->src, src_r, goto Equal, goto Greater, goto Smaller); |
---|
196 | |
---|
197 | Greater: |
---|
198 | if (iter->next == NULL) |
---|
199 | { |
---|
200 | iter->next = what; |
---|
201 | return what; |
---|
202 | } |
---|
203 | prev = iter; |
---|
204 | iter = iter->next; |
---|
205 | goto Top; |
---|
206 | |
---|
207 | Smaller: |
---|
208 | if (prev == NULL) |
---|
209 | { |
---|
210 | into = what; |
---|
211 | what->next = iter; |
---|
212 | return what; |
---|
213 | } |
---|
214 | prev->next = what; |
---|
215 | what->next = iter; |
---|
216 | return what; |
---|
217 | |
---|
218 | Equal: |
---|
219 | iter->ref += what->ref; |
---|
220 | macoeff coeff = what->coeff; |
---|
221 | if (coeff != NULL) |
---|
222 | { |
---|
223 | while (coeff->next != NULL) coeff = coeff->next; |
---|
224 | coeff->next = iter->coeff; |
---|
225 | iter->coeff = what->coeff; |
---|
226 | what->coeff = NULL; |
---|
227 | } |
---|
228 | maMonomial_Free(what, src_r); |
---|
229 | return iter; |
---|
230 | } |
---|
231 | |
---|
232 | mapoly maPoly_InsertMonomial(mapoly &into, poly p, ring src_r, sBucket_pt bucket) |
---|
233 | { |
---|
234 | return maPoly_InsertMonomial(into, maMonomial_Create(p, src_r, bucket), src_r); |
---|
235 | } |
---|
236 | |
---|
237 | static void maPoly_InsertPoly(mapoly &into, poly what, ring src_r, sBucket_pt bucket) |
---|
238 | { |
---|
239 | poly next; |
---|
240 | |
---|
241 | while (what != NULL) |
---|
242 | { |
---|
243 | next = what->next; |
---|
244 | maPoly_InsertMonomial(into, what, src_r, bucket); |
---|
245 | what = next; |
---|
246 | } |
---|
247 | } |
---|
248 | |
---|
249 | /******************************************************************************* |
---|
250 | ** |
---|
251 | *F maMap_Create . . . . . . . . . . . . . . . . . . . . create stuff |
---|
252 | */ |
---|
253 | |
---|
254 | void maMap_CreatePolyIdeal(ideal map_id, ring map_r, ring src_r, ring dest_r, |
---|
255 | mapoly &mp, maideal &mideal) |
---|
256 | { |
---|
257 | mideal = (maideal) omAlloc0(sizeof(maideal_s)); |
---|
258 | mideal->n = IDELEMS(map_id); |
---|
259 | mideal->buckets = (sBucket_pt*) omAlloc0(mideal->n*sizeof(sBucket_pt)); |
---|
260 | int i; |
---|
261 | mp = NULL; |
---|
262 | |
---|
263 | for (i=0; i<mideal->n; i++) |
---|
264 | { |
---|
265 | if (map_id->m[i] != NULL) |
---|
266 | { |
---|
267 | mideal->buckets[i] = sBucketCreate(dest_r); |
---|
268 | maPoly_InsertPoly(mp, |
---|
269 | #ifdef PDEBUG |
---|
270 | prShallowCopyR(map_id->m[i], map_r, src_r), |
---|
271 | #else |
---|
272 | prShallowCopyR_NoSort(map_id->m[i], map_r, src_r), |
---|
273 | #endif |
---|
274 | src_r, |
---|
275 | mideal->buckets[i]); |
---|
276 | } |
---|
277 | } |
---|
278 | } |
---|
279 | |
---|
280 | void maMap_CreateRings(ideal map_id, ring map_r, |
---|
281 | ideal image_id, ring image_r, |
---|
282 | ring &src_r, ring &dest_r, BOOLEAN &simple) |
---|
283 | { |
---|
284 | #if HAVE_SRC_R > 0 |
---|
285 | int* weights = (int*) omAlloc0(map_r->N*sizeof(int)); |
---|
286 | int i; |
---|
287 | int n = si_min(map_r->N, IDELEMS(image_id)); |
---|
288 | |
---|
289 | for (i=0; i<n; i++) |
---|
290 | { |
---|
291 | weights[i] = pLength(image_id->m[i])+1; |
---|
292 | } |
---|
293 | src_r = rModifyRing_Wp(map_r, weights); |
---|
294 | #else |
---|
295 | src_r = map_r; |
---|
296 | #endif |
---|
297 | |
---|
298 | #if HAVE_DEST_R > 0 |
---|
299 | unsigned long maxExp = maGetMaxExp(map_id, map_r, image_id, image_r); |
---|
300 | if (maxExp <= 1) maxExp = 2; |
---|
301 | else if (maxExp > (unsigned long) image_r->bitmask) |
---|
302 | maxExp = (unsigned long) image_r->bitmask; |
---|
303 | dest_r = rModifyRing_Simple(image_r, TRUE, TRUE, maxExp, simple); |
---|
304 | #else |
---|
305 | dest_r = image_r; |
---|
306 | #endif |
---|
307 | } |
---|
308 | |
---|
309 | static void maMap_KillRings(ring map_r, ring image_r, ring src_r, ring dest_r) |
---|
310 | { |
---|
311 | if (map_r != src_r) |
---|
312 | rKillModified_Wp_Ring(src_r); |
---|
313 | if (image_r != dest_r) |
---|
314 | rKillModifiedRing_Simple(dest_r); |
---|
315 | } |
---|
316 | |
---|
317 | /******************************************************************************* |
---|
318 | ** |
---|
319 | *F misc . . . . . . . . . . . . . . . . . . . . . . . . . . . . misc stuff |
---|
320 | */ |
---|
321 | |
---|
322 | ideal maIdeal_2_Ideal(maideal m_id, ring dest_r) |
---|
323 | { |
---|
324 | ideal res = idInit(m_id->n, 1); |
---|
325 | int l; |
---|
326 | |
---|
327 | for (int i= 0; i < m_id->n; i++) |
---|
328 | { |
---|
329 | if (m_id->buckets[i]!=NULL) |
---|
330 | sBucketDestroyAdd(m_id->buckets[i], &(res->m[i]), &l); |
---|
331 | } |
---|
332 | omFreeSize(m_id->buckets,m_id->n*sizeof(sBucket_pt)); |
---|
333 | omFree(m_id); |
---|
334 | return res; |
---|
335 | } |
---|
336 | |
---|
337 | void maPoly_GetLength(mapoly mp, int &length) |
---|
338 | { |
---|
339 | length = 0; |
---|
340 | while (mp != NULL) |
---|
341 | { |
---|
342 | length++; |
---|
343 | mp = mp->next; |
---|
344 | } |
---|
345 | } |
---|
346 | |
---|
347 | |
---|
348 | /******************************************************************************* |
---|
349 | ** |
---|
350 | *F fast_map . . . . . . . . . . . . . . . . . . . . . . . . . .the real thing |
---|
351 | */ |
---|
352 | |
---|
353 | ideal fast_map(ideal map_id, ring map_r, ideal image_id, ring image_r) |
---|
354 | { |
---|
355 | ring src_r, dest_r; |
---|
356 | ideal dest_id, res_id; |
---|
357 | int length = 0; |
---|
358 | BOOLEAN no_sort; |
---|
359 | |
---|
360 | // construct rings we work in: |
---|
361 | // src_r: Wp with Weights set to length of poly in image_id |
---|
362 | // dest_r: Simple ring without degree ordering and short exponents |
---|
363 | maMap_CreateRings(map_id, map_r, image_id, image_r, src_r, dest_r, no_sort); |
---|
364 | |
---|
365 | // construct dest_id |
---|
366 | if (dest_r != image_r) |
---|
367 | { |
---|
368 | dest_id = idrShallowCopyR(image_id, image_r, dest_r); |
---|
369 | } |
---|
370 | else |
---|
371 | dest_id = image_id; |
---|
372 | |
---|
373 | // construct mpoly and mideal |
---|
374 | mapoly mp; |
---|
375 | maideal mideal; |
---|
376 | maMap_CreatePolyIdeal(map_id, map_r, src_r, dest_r, mp, mideal); |
---|
377 | |
---|
378 | if (TEST_OPT_PROT) |
---|
379 | { |
---|
380 | maPoly_GetLength(mp, length); |
---|
381 | Print("map[%ld:%d]{%d:", dest_r->bitmask, dest_r->ExpL_Size, length); |
---|
382 | } |
---|
383 | |
---|
384 | // do the optimization step |
---|
385 | #if HAVE_MAP_OPTIMIZE > 0 |
---|
386 | if (mp!=NULL) maPoly_Optimize(mp, src_r); |
---|
387 | #endif |
---|
388 | if (TEST_OPT_PROT) |
---|
389 | { |
---|
390 | maPoly_GetLength(mp, length); |
---|
391 | Print("%d}", length); |
---|
392 | } |
---|
393 | |
---|
394 | // do the actual evaluation |
---|
395 | maPoly_Eval(mp, src_r, dest_id, dest_r, length); |
---|
396 | if (TEST_OPT_PROT) Print("."); |
---|
397 | |
---|
398 | // collect the results back into an ideal |
---|
399 | ideal res_dest_id = maIdeal_2_Ideal(mideal, dest_r); |
---|
400 | if (TEST_OPT_PROT) Print("."); |
---|
401 | |
---|
402 | // convert result back to image_r |
---|
403 | ideal res_image_id; |
---|
404 | if (dest_r != image_r) |
---|
405 | { |
---|
406 | //if (no_sort) see Old/m134si.tst |
---|
407 | // res_image_id = idrShallowCopyR_NoSort(res_dest_id, dest_r, image_r); |
---|
408 | //else |
---|
409 | res_image_id = idrShallowCopyR(res_dest_id, dest_r, image_r); |
---|
410 | id_ShallowDelete(&res_dest_id, dest_r); |
---|
411 | id_ShallowDelete(&dest_id,dest_r); |
---|
412 | } |
---|
413 | else |
---|
414 | res_image_id = res_dest_id; |
---|
415 | |
---|
416 | if (TEST_OPT_PROT) Print("."); |
---|
417 | |
---|
418 | // clean-up the rings |
---|
419 | maMap_KillRings(map_r, image_r, src_r, dest_r); |
---|
420 | |
---|
421 | if (TEST_OPT_PROT) |
---|
422 | Print("\n"); |
---|
423 | |
---|
424 | idTest(res_image_id); |
---|
425 | return res_image_id; |
---|
426 | } |
---|
427 | |
---|
428 | |
---|
429 | /********************************************************************** |
---|
430 | * Evaluation stuff * |
---|
431 | **********************************************************************/ |
---|
432 | |
---|
433 | // substitute p everywhere the monomial occours, |
---|
434 | // return the number of substitutions |
---|
435 | static int maPoly_Substitute(macoeff c, poly p, ring dest_r) |
---|
436 | { |
---|
437 | // substitute the monomial: go through macoeff |
---|
438 | int len=pLength(p); |
---|
439 | int done=0; |
---|
440 | while (c!=NULL) |
---|
441 | { |
---|
442 | done++; |
---|
443 | poly t=pp_Mult_nn(p,c->n,dest_r); |
---|
444 | sBucket_Add_p(c->bucket, t, len); |
---|
445 | c=c->next; |
---|
446 | } |
---|
447 | return done; |
---|
448 | } |
---|
449 | |
---|
450 | static poly maPoly_EvalMon(poly src, ring src_r, poly* dest_id, ring dest_r) |
---|
451 | { |
---|
452 | int i; |
---|
453 | int e; |
---|
454 | poly p=NULL; |
---|
455 | poly pp; |
---|
456 | BOOLEAN is_const=TRUE; // to check for zero-div in p_Mult_q |
---|
457 | for(i=1;i<=src_r->N;i++) |
---|
458 | { |
---|
459 | e=p_GetExp(src,i,src_r); |
---|
460 | if (e>0) |
---|
461 | { |
---|
462 | is_const=FALSE; |
---|
463 | pp=dest_id[i-1]; |
---|
464 | if (pp==NULL) |
---|
465 | { |
---|
466 | p_Delete(&p,dest_r); |
---|
467 | return NULL; |
---|
468 | } |
---|
469 | if ((p==NULL) /* && (e>0)*/) |
---|
470 | { |
---|
471 | p=p_Copy(pp /*dest_id[i-1]*/,dest_r); |
---|
472 | e--; |
---|
473 | } |
---|
474 | while (e>0) |
---|
475 | { |
---|
476 | p=p_Mult_q(p,p_Copy(pp /*dest_id[i-1]*/,dest_r),dest_r); |
---|
477 | e--; |
---|
478 | } |
---|
479 | } |
---|
480 | } |
---|
481 | if (is_const) |
---|
482 | { |
---|
483 | assume(p==NULL); |
---|
484 | p=p_ISet(1,dest_r); |
---|
485 | } |
---|
486 | return p; |
---|
487 | } |
---|
488 | |
---|
489 | void maPoly_Eval(mapoly root, ring src_r, ideal dest_id, ring dest_r, int total_cost) |
---|
490 | { |
---|
491 | // invert the list rooted at root: |
---|
492 | if ((root!=NULL) && (root->next!=NULL)) |
---|
493 | { |
---|
494 | mapoly q=root->next; |
---|
495 | mapoly qn; |
---|
496 | root->next=NULL; |
---|
497 | do |
---|
498 | { |
---|
499 | qn=q->next; |
---|
500 | q->next=root; |
---|
501 | root=q; |
---|
502 | q=qn; |
---|
503 | } |
---|
504 | while (qn !=NULL); |
---|
505 | } |
---|
506 | |
---|
507 | total_cost /= 10; |
---|
508 | int next_print_cost = total_cost; |
---|
509 | |
---|
510 | // the evaluation ----------------------------------------- |
---|
511 | mapoly p=root; |
---|
512 | int cost = 0; |
---|
513 | |
---|
514 | while (p!=NULL) |
---|
515 | { |
---|
516 | // look at each mapoly: compute its value in ->dest |
---|
517 | assume (p->dest==NULL); |
---|
518 | { |
---|
519 | if ((p->f1!=NULL)&&(p->f2!=NULL)) |
---|
520 | { |
---|
521 | poly f1=p->f1->dest; |
---|
522 | poly f2=p->f2->dest; |
---|
523 | if (p->f1->ref>0) f1=p_Copy(f1,dest_r); |
---|
524 | else |
---|
525 | { |
---|
526 | // we own p->f1->dest now (in f1) |
---|
527 | p->f1->dest=NULL; |
---|
528 | } |
---|
529 | if (p->f2->ref>0) f2=p_Copy(f2,dest_r); |
---|
530 | else |
---|
531 | { |
---|
532 | // we own p->f2->dest now (in f2) |
---|
533 | p->f2->dest=NULL; |
---|
534 | } |
---|
535 | maMonomial_Free(p->f1,src_r, dest_r); |
---|
536 | maMonomial_Free(p->f2,src_r, dest_r); |
---|
537 | p->dest=p_Mult_q(f1,f2,dest_r); |
---|
538 | } /* factors : 2 */ |
---|
539 | else |
---|
540 | { |
---|
541 | assume((p->f1==NULL) && (p->f2==NULL)); |
---|
542 | // no factorization provided, use the classical method: |
---|
543 | p->dest=maPoly_EvalMon(p->src,src_r,dest_id->m,dest_r); |
---|
544 | } |
---|
545 | } /* p->dest==NULL */ |
---|
546 | // substitute the monomial: go through macoeff |
---|
547 | p->ref -= maPoly_Substitute(p->coeff, p->dest, dest_r); |
---|
548 | //printf("subst done\n"); |
---|
549 | if (total_cost) |
---|
550 | { |
---|
551 | assume(TEST_OPT_PROT); |
---|
552 | cost++; |
---|
553 | if (cost > next_print_cost) |
---|
554 | { |
---|
555 | Print("-"); |
---|
556 | next_print_cost += total_cost; |
---|
557 | } |
---|
558 | } |
---|
559 | |
---|
560 | mapoly pp=p; |
---|
561 | p=p->next; |
---|
562 | //p_wrp(pp->src, src_r); |
---|
563 | if (pp->ref<=0) |
---|
564 | { |
---|
565 | //printf(" (%x) killed\n",pp); |
---|
566 | maMonomial_Destroy(pp, src_r, dest_r); |
---|
567 | } |
---|
568 | //else |
---|
569 | // printf(" (%x) not killed, ref=%d\n",pp,pp->ref); |
---|
570 | } |
---|
571 | } |
---|
572 | |
---|
573 | |
---|
574 | /******************************************************************************* |
---|
575 | ** |
---|
576 | *F maEggt . . . . . . . . . . . . . . . . . . . . . . . . returns extended ggt |
---|
577 | */ |
---|
578 | // return NULL if deg(ggt(m1, m2)) < 2 |
---|
579 | // else return m = ggT(m1, m2) and q1, q2 such that m1 = q1*m m2 = q2*m |
---|
580 | static poly maEggT(const poly m1, const poly m2, poly &q1, poly &q2,const ring r) |
---|
581 | { |
---|
582 | |
---|
583 | int i; |
---|
584 | int dg = 0; |
---|
585 | poly ggt = p_Init(r); |
---|
586 | q1 = p_Init(r); |
---|
587 | q2 = p_Init(r); |
---|
588 | |
---|
589 | for (i=1;i<=r->N;i++) |
---|
590 | { |
---|
591 | unsigned long e1 = p_GetExp(m1, i, r); |
---|
592 | unsigned long e2 = p_GetExp(m2, i, r); |
---|
593 | if (e1 > 0 && e2 > 0) |
---|
594 | { |
---|
595 | unsigned long em = (e1 > e2 ? e2 : e1); |
---|
596 | dg += em; |
---|
597 | p_SetExp(ggt, i, em, r); |
---|
598 | p_SetExp(q1, i, e1 - em, r); |
---|
599 | p_SetExp(q2, i, e2 - em, r); |
---|
600 | } |
---|
601 | else |
---|
602 | { |
---|
603 | p_SetExp(q1, i, e1, r); |
---|
604 | p_SetExp(q2, i, e2, r); |
---|
605 | } |
---|
606 | } |
---|
607 | if (dg>1) |
---|
608 | { |
---|
609 | p_Setm(ggt, r); |
---|
610 | p_Setm(q1, r); |
---|
611 | p_Setm(q2, r); |
---|
612 | } |
---|
613 | else |
---|
614 | { |
---|
615 | p_LmFree(ggt, r); |
---|
616 | p_LmFree(q1, r); |
---|
617 | p_LmFree(q2, r); |
---|
618 | ggt = NULL; |
---|
619 | } |
---|
620 | return ggt; |
---|
621 | } |
---|
622 | |
---|
623 | /******************************************************************** |
---|
624 | ** * |
---|
625 | * maFindBestggT * |
---|
626 | * finds ggT with the highest cost * |
---|
627 | *******************************************************************/ |
---|
628 | |
---|
629 | static mapoly maFindBestggT(mapoly mp, mapoly & choice, mapoly & fp, mapoly & fq,const ring r) |
---|
630 | { |
---|
631 | int ggt_deg = 0; |
---|
632 | poly p = mp->src; |
---|
633 | mapoly iter = choice; |
---|
634 | poly ggT = NULL; |
---|
635 | fp = NULL; |
---|
636 | fq = NULL; |
---|
637 | poly fp_p=NULL; |
---|
638 | poly fq_p=NULL; |
---|
639 | choice=NULL; |
---|
640 | while ((iter != NULL) && (pDeg(iter->src, r) > ggt_deg)) |
---|
641 | { |
---|
642 | // maMonomial_Out(iter, r, NULL); |
---|
643 | poly q1, q2, q; |
---|
644 | |
---|
645 | q = maEggT(p, iter->src, q1, q2,r); |
---|
646 | if (q != NULL) |
---|
647 | { |
---|
648 | int tmp_deg; |
---|
649 | assume((q1!=NULL)&&(q2!=NULL)); |
---|
650 | if ((tmp_deg=pDeg(q,r)) > ggt_deg) |
---|
651 | { |
---|
652 | choice=iter; |
---|
653 | if (ggT != NULL) |
---|
654 | { |
---|
655 | p_LmFree(ggT, r); |
---|
656 | p_LmFree(fp_p, r); |
---|
657 | p_LmFree(fq_p, r); |
---|
658 | } |
---|
659 | ggt_deg = tmp_deg ; /*pDeg(q, r);*/ |
---|
660 | ggT = q; |
---|
661 | fp_p = q1; |
---|
662 | fq_p = q2; |
---|
663 | } |
---|
664 | else |
---|
665 | { |
---|
666 | p_LmFree(q, r); |
---|
667 | p_LmFree(q1, r); |
---|
668 | p_LmFree(q2, r); |
---|
669 | } |
---|
670 | } |
---|
671 | iter=iter->next; |
---|
672 | } |
---|
673 | if(ggT!=NULL) |
---|
674 | { |
---|
675 | int dq =pTotaldegree(fq_p,r); |
---|
676 | if (dq!=0) |
---|
677 | { |
---|
678 | fq=maPoly_InsertMonomial(mp, fq_p, r, NULL); |
---|
679 | fp=maPoly_InsertMonomial(mp, fp_p, r, NULL); |
---|
680 | return maPoly_InsertMonomial(mp, ggT, r, NULL); |
---|
681 | } |
---|
682 | else |
---|
683 | { |
---|
684 | fq=NULL; |
---|
685 | p_LmFree(fq_p, r); |
---|
686 | p_LmFree(ggT, r); |
---|
687 | fp=maPoly_InsertMonomial(mp, fp_p, r, NULL); |
---|
688 | choice->ref++; |
---|
689 | return choice; |
---|
690 | } |
---|
691 | } |
---|
692 | else |
---|
693 | { |
---|
694 | return NULL; |
---|
695 | } |
---|
696 | } |
---|
697 | |
---|
698 | /******************************************************************** |
---|
699 | ** * |
---|
700 | * maPoly_Optimize * |
---|
701 | * adds and integrates subexpressions * |
---|
702 | *******************************************************************/ |
---|
703 | |
---|
704 | void maPoly_Optimize(mapoly mpoly, ring src_r) |
---|
705 | { |
---|
706 | assume(mpoly!=NULL && mpoly->src!=NULL); |
---|
707 | mapoly iter = mpoly; |
---|
708 | mapoly choice; |
---|
709 | mapoly ggT=NULL; |
---|
710 | mapoly fp=NULL; |
---|
711 | mapoly fq=NULL; |
---|
712 | while (iter->next!=NULL) |
---|
713 | { |
---|
714 | choice=iter->next; |
---|
715 | if ((iter->f1==NULL)) |
---|
716 | { |
---|
717 | ggT=maFindBestggT(iter, choice, fp, fq,src_r); |
---|
718 | if (choice!=NULL) |
---|
719 | { |
---|
720 | assume(iter->f1==NULL); |
---|
721 | assume(iter->f2==NULL); |
---|
722 | iter->f1=fp; |
---|
723 | iter->f2=ggT; |
---|
724 | if (fq!=NULL) |
---|
725 | { |
---|
726 | ggT->ref++; |
---|
727 | choice->f1=fq; |
---|
728 | choice->f2=ggT; |
---|
729 | } |
---|
730 | } |
---|
731 | else assume(ggT==NULL); |
---|
732 | } |
---|
733 | iter=iter->next; |
---|
734 | } |
---|
735 | } |
---|