1 | /**************************************** |
---|
2 | * Computer Algebra System SINGULAR * |
---|
3 | ****************************************/ |
---|
4 | /* $Id: maps.cc,v 1.15 1999-07-13 15:06:52 Singular Exp $ */ |
---|
5 | /* |
---|
6 | * ABSTRACT - the mapping of polynomials to other rings |
---|
7 | */ |
---|
8 | |
---|
9 | #include "mod2.h" |
---|
10 | #include "tok.h" |
---|
11 | #include "febase.h" |
---|
12 | #include "polys.h" |
---|
13 | #include "numbers.h" |
---|
14 | #include "ipid.h" |
---|
15 | #include "ring.h" |
---|
16 | #include "ideals.h" |
---|
17 | #include "matpol.h" |
---|
18 | #include "mmemory.h" |
---|
19 | #include "kstd1.h" |
---|
20 | #include "lists.h" |
---|
21 | #include "longalg.h" |
---|
22 | #include "maps.h" |
---|
23 | |
---|
24 | #define MAX_MAP_DEG 128 |
---|
25 | |
---|
26 | /*2 |
---|
27 | * copy a map |
---|
28 | */ |
---|
29 | map maCopy(map theMap) |
---|
30 | { |
---|
31 | int i; |
---|
32 | map m=(map)idInit(IDELEMS(theMap),0); |
---|
33 | for (i=IDELEMS(theMap)-1; i>=0; i--) |
---|
34 | m->m[i] = pCopy(theMap->m[i]); |
---|
35 | m->preimage=mstrdup(theMap->preimage); |
---|
36 | return m; |
---|
37 | } |
---|
38 | |
---|
39 | |
---|
40 | /*2 |
---|
41 | * return the image of var(v)^pExp, where var(v) maps to p |
---|
42 | */ |
---|
43 | poly maEvalVariable(poly p, int v,int pExp,matrix s) |
---|
44 | { |
---|
45 | if (pExp==1) |
---|
46 | return pCopy(p); |
---|
47 | |
---|
48 | poly res; |
---|
49 | |
---|
50 | if((s!=NULL)&&(pExp<MAX_MAP_DEG)) |
---|
51 | { |
---|
52 | int j=2; |
---|
53 | poly p0=p; |
---|
54 | // find starting point |
---|
55 | if(MATELEM(s,v,1)==NULL) |
---|
56 | { |
---|
57 | MATELEM(s,v,1)=pCopy(p/*theMap->m[v-1]*/); |
---|
58 | } |
---|
59 | else |
---|
60 | { |
---|
61 | while((j<=pExp)&&(MATELEM(s,v,j)!=NULL)) |
---|
62 | { |
---|
63 | j++; |
---|
64 | } |
---|
65 | p0=MATELEM(s,v,j-1); |
---|
66 | } |
---|
67 | // multiply |
---|
68 | for(;j<=pExp;j++) |
---|
69 | { |
---|
70 | p0=MATELEM(s,v,j)=pMult(pCopy(p0/*MATELEM(s,v,j-1)*/), |
---|
71 | pCopy(p/*theMap->m[v-1]*/)); |
---|
72 | } |
---|
73 | res=pCopy(p0/*MATELEM(s,v,pExp)*/); |
---|
74 | } |
---|
75 | else //if ((p->next!=NULL)&&(p->next->next==NULL)) |
---|
76 | { |
---|
77 | res=pPower(pCopy(p),pExp); |
---|
78 | } |
---|
79 | return res; |
---|
80 | } |
---|
81 | |
---|
82 | poly maEvalMonom(map theMap, poly p,ring preimage_r,matrix s) |
---|
83 | { |
---|
84 | poly q=pOne(); |
---|
85 | pSetCoeff(q,nMap(pGetCoeff(p))); |
---|
86 | |
---|
87 | int i; |
---|
88 | for(i=preimage_r->N; i>0; i--) |
---|
89 | { |
---|
90 | int pExp=pRingGetExp(preimage_r, p,i); |
---|
91 | if (pExp != 0) |
---|
92 | { |
---|
93 | if (theMap->m[i-1]!=NULL) |
---|
94 | { |
---|
95 | poly p1=theMap->m[i-1]; |
---|
96 | poly pp=maEvalVariable(p1,i,pExp,s); |
---|
97 | q = pMult(q,pp); |
---|
98 | } |
---|
99 | else |
---|
100 | { |
---|
101 | pDelete(&q); |
---|
102 | break; |
---|
103 | } |
---|
104 | } |
---|
105 | } |
---|
106 | int modulComp = pRingGetComp(preimage_r, p); |
---|
107 | if (q!=NULL) pSetCompP(q,modulComp); |
---|
108 | return q; |
---|
109 | } |
---|
110 | |
---|
111 | poly maEval(map theMap, poly p,ring preimage_r,matrix s) |
---|
112 | { |
---|
113 | poly result = NULL; |
---|
114 | int i; |
---|
115 | |
---|
116 | // for(i=1; i<=preimage_r->N; i++) |
---|
117 | // { |
---|
118 | // pTest(theMap->m[i-1]); |
---|
119 | // } |
---|
120 | // while (p!=NULL) |
---|
121 | // { |
---|
122 | // poly q=maEvalMonom(theMap,p,preimage_r,s); |
---|
123 | // result = pAdd(result,q); |
---|
124 | // pIter(p); |
---|
125 | // } |
---|
126 | if (p!=NULL) |
---|
127 | { |
---|
128 | int l = pLength(p)-1; |
---|
129 | poly* monoms; |
---|
130 | if (l>0) |
---|
131 | { |
---|
132 | monoms = (poly*) Alloc(l*sizeof(poly)); |
---|
133 | |
---|
134 | for (i=0; i<l; i++) |
---|
135 | { |
---|
136 | monoms[i]=maEvalMonom(theMap,p,preimage_r,s); |
---|
137 | pIter(p); |
---|
138 | } |
---|
139 | } |
---|
140 | result=maEvalMonom(theMap,p,preimage_r,s); |
---|
141 | if (l>0) |
---|
142 | { |
---|
143 | for(i = l-1; i>=0; i--) |
---|
144 | { |
---|
145 | result=pAdd(result, monoms[i]); |
---|
146 | } |
---|
147 | Free((ADDRESS)monoms,l*sizeof(poly)); |
---|
148 | } |
---|
149 | if (currRing->minpoly!=NULL) result=pMult(result,pOne()); |
---|
150 | } |
---|
151 | pTest(result); |
---|
152 | return result; |
---|
153 | } |
---|
154 | |
---|
155 | /*2 |
---|
156 | *shifts the variables between minvar and maxvar of p \in p_ring to the |
---|
157 | *first maxvar-minvar+1 variables in the actual ring |
---|
158 | *be carefull: there is no range check for the variables of p |
---|
159 | */ |
---|
160 | static poly pChangeSizeOfPoly(ring p_ring, poly p,int minvar,int maxvar) |
---|
161 | { |
---|
162 | int i; |
---|
163 | poly result = NULL,resultWorkP; |
---|
164 | number n; |
---|
165 | |
---|
166 | if (p==NULL) return result; |
---|
167 | else result = pInit(); |
---|
168 | resultWorkP = result; |
---|
169 | while (p!=NULL) |
---|
170 | { |
---|
171 | for (i=minvar;i<=maxvar;i++) |
---|
172 | pSetExp(resultWorkP,i-minvar+1,pRingGetExp(p_ring,p,i)); |
---|
173 | pSetComp(resultWorkP,pRingGetComp(p_ring,p)); |
---|
174 | n=nCopy(pGetCoeff(p)); |
---|
175 | pSetCoeff(resultWorkP,n); |
---|
176 | pSetm(resultWorkP); |
---|
177 | pIter(p); |
---|
178 | if (p!=NULL) |
---|
179 | { |
---|
180 | pNext(resultWorkP) = pInit(); |
---|
181 | pIter(resultWorkP); |
---|
182 | } |
---|
183 | } |
---|
184 | return result; |
---|
185 | } |
---|
186 | |
---|
187 | |
---|
188 | /*2 |
---|
189 | *returns the preimage of id under theMap, |
---|
190 | *if id is empty or zero the kernel is computed |
---|
191 | */ |
---|
192 | ideal maGetPreimage(ring theImageRing, map theMap, ideal id) |
---|
193 | { |
---|
194 | int i,j,sizeofpoly; |
---|
195 | int ordersize; |
---|
196 | poly p,pp,q; |
---|
197 | ideal temp1; |
---|
198 | ideal temp2; |
---|
199 | short ** wv; |
---|
200 | #define blockmax 5 |
---|
201 | int orders[blockmax],block0[blockmax], block1[blockmax]; |
---|
202 | int imagepvariables = theImageRing->N; |
---|
203 | ring sourcering = currRing; |
---|
204 | int N = pVariables+imagepvariables; |
---|
205 | sip_sring tmpR; |
---|
206 | |
---|
207 | memset(block0, 0,sizeof(block0)); |
---|
208 | memset(block1, 0,sizeof(block1)); |
---|
209 | memset(orders, 0,sizeof(orders)); |
---|
210 | if (theImageRing->OrdSgn == 1) orders[0] = ringorder_dp; |
---|
211 | else orders[0] = ringorder_ls; |
---|
212 | block1[0] = imagepvariables; |
---|
213 | block0[0] = 1; |
---|
214 | /* |
---|
215 | *if (sourcering->order[blockmax]) |
---|
216 | *{ |
---|
217 | * if (sourcering->OrdSgn == 1) orders[1] = ringorder_dp; |
---|
218 | * else orders[1] = ringorder_ls; |
---|
219 | * block1[1] = N; |
---|
220 | *} |
---|
221 | *else |
---|
222 | */ |
---|
223 | { |
---|
224 | i=0; |
---|
225 | while(sourcering->order[i]) |
---|
226 | { |
---|
227 | orders[i+1] = sourcering->order[i]; |
---|
228 | block0[i+1] = sourcering->block0[i]+imagepvariables; |
---|
229 | block1[i+1] = sourcering->block1[i]+imagepvariables; |
---|
230 | i++; |
---|
231 | } |
---|
232 | } |
---|
233 | ordersize=i+1; |
---|
234 | wv = (short **) Alloc0(ordersize * sizeof(short **)); |
---|
235 | for (i--;i!=0 ;i--) wv[i+1] = sourcering->wvhdl[i]; |
---|
236 | tmpR = *currRing; |
---|
237 | tmpR.N = N; |
---|
238 | tmpR.order = orders; |
---|
239 | tmpR.block0 = block0; |
---|
240 | tmpR.block1 = block1; |
---|
241 | tmpR.wvhdl = wv; |
---|
242 | rComplete(&tmpR); |
---|
243 | |
---|
244 | // change to new ring |
---|
245 | rChangeCurrRing(&tmpR, FALSE); |
---|
246 | sizeofpoly = mmGetSpecSize(); |
---|
247 | if (id==NULL) |
---|
248 | j = 0; |
---|
249 | else |
---|
250 | j = IDELEMS(id); |
---|
251 | temp1 = idInit(sourcering->N+j,1); |
---|
252 | for (i=0;i<sourcering->N;i++) |
---|
253 | { |
---|
254 | if ((i<IDELEMS(theMap)) && (theMap->m[i]!=NULL)) |
---|
255 | { |
---|
256 | p = pChangeSizeOfPoly(theImageRing, theMap->m[i],1,imagepvariables); |
---|
257 | q = p; |
---|
258 | while (pNext(q)) pIter(q); |
---|
259 | pNext(q) = pOne(); |
---|
260 | pIter(q); |
---|
261 | } |
---|
262 | else |
---|
263 | q = p = pOne(); |
---|
264 | pGetCoeff(q)=nNeg(pGetCoeff(q)); |
---|
265 | pSetExp(q,i+1+imagepvariables,1); |
---|
266 | pSetm(q); |
---|
267 | temp1->m[i] = p; |
---|
268 | } |
---|
269 | for (i=sourcering->N;i<sourcering->N+j;i++) |
---|
270 | { |
---|
271 | temp1->m[i] = pChangeSizeOfPoly(theImageRing, |
---|
272 | id->m[i-sourcering->N],1,imagepvariables); |
---|
273 | } |
---|
274 | // we ignore here homogenity - may be changed later: |
---|
275 | temp2 = kStd(temp1,NULL,isNotHomog,NULL); |
---|
276 | idDelete(&temp1); |
---|
277 | for (i=0;i<IDELEMS(temp2);i++) |
---|
278 | { |
---|
279 | if (pLowVar(temp2->m[i])<imagepvariables) pDelete(&(temp2->m[i])); |
---|
280 | } |
---|
281 | |
---|
282 | // let's get back to the original ring |
---|
283 | rChangeCurrRing(sourcering, FALSE); |
---|
284 | temp1 = idInit(5,1); |
---|
285 | j = 0; |
---|
286 | for (i=0;i<IDELEMS(temp2);i++) |
---|
287 | { |
---|
288 | p = temp2->m[i]; |
---|
289 | temp2->m[i]=NULL; |
---|
290 | if (p!=NULL) |
---|
291 | { |
---|
292 | q = pChangeSizeOfPoly(&tmpR, p,imagepvariables+1,N); |
---|
293 | if (j>=IDELEMS(temp1)) |
---|
294 | { |
---|
295 | pEnlargeSet(&(temp1->m),IDELEMS(temp1),5); |
---|
296 | IDELEMS(temp1)+=5; |
---|
297 | } |
---|
298 | temp1->m[j] = q; |
---|
299 | j++; |
---|
300 | while (p!=NULL) |
---|
301 | { |
---|
302 | pp = pNext(p); |
---|
303 | Free((ADDRESS)p,sizeofpoly); |
---|
304 | p = pp; |
---|
305 | } |
---|
306 | } |
---|
307 | } |
---|
308 | idDelete(&temp2); |
---|
309 | Free((ADDRESS) wv, ordersize*sizeof(short **)); |
---|
310 | idSkipZeroes(temp1); |
---|
311 | return temp1; |
---|
312 | } |
---|
313 | |
---|
314 | void maFindPerm(char **preim_names, int preim_n, char **preim_par, int preim_p, |
---|
315 | char **names, int n, char **par, int nop, |
---|
316 | int * perm, int *par_perm, int ch) |
---|
317 | { |
---|
318 | int i,j; |
---|
319 | /* find correspondig vars */ |
---|
320 | for (i=0; i<preim_n; i++) |
---|
321 | { |
---|
322 | for(j=0; j<n; j++) |
---|
323 | { |
---|
324 | if (strcmp(preim_names[i],names[j])==0) |
---|
325 | { |
---|
326 | if (BVERBOSE(V_IMAP)) |
---|
327 | Print("// var %s: nr %d -> nr %d\n",preim_names[i],i+1,j+1); |
---|
328 | /* var i+1 from preimage ring is var j+1 (index j+1) from image ring */ |
---|
329 | perm[i+1]=j+1; |
---|
330 | break; |
---|
331 | } |
---|
332 | } |
---|
333 | if ((perm[i+1]==0)&&(par!=NULL) |
---|
334 | // do not consider par of Fq |
---|
335 | && (ch < 2)) |
---|
336 | { |
---|
337 | for(j=0; j<nop; j++) |
---|
338 | { |
---|
339 | if (strcmp(preim_names[i],par[j])==0) |
---|
340 | { |
---|
341 | if (BVERBOSE(V_IMAP)) |
---|
342 | Print("// var %s: nr %d -> par %d\n",preim_names[i],i+1,j+1); |
---|
343 | /* var i+1 from preimage ring is par j+1 (index j) from image ring */ |
---|
344 | perm[i+1]=-(j+1); |
---|
345 | } |
---|
346 | } |
---|
347 | } |
---|
348 | } |
---|
349 | if (par_perm!=NULL) |
---|
350 | { |
---|
351 | for (i=0; i<preim_p; i++) |
---|
352 | { |
---|
353 | for(j=0; j<n; j++) |
---|
354 | { |
---|
355 | if (strcmp(preim_par[i],names[j])==0) |
---|
356 | { |
---|
357 | if (BVERBOSE(V_IMAP)) |
---|
358 | Print("// par %s: par %d -> nr %d\n",preim_par[i],i+1,j+1); |
---|
359 | /* var i+1 from preimage ring is var j+1 (index j+1) from image ring */ |
---|
360 | par_perm[i]=j+1; |
---|
361 | break; |
---|
362 | } |
---|
363 | } |
---|
364 | if ((par!=NULL) && (par_perm[i]==0)) |
---|
365 | { |
---|
366 | for(j=0; j<nop; j++) |
---|
367 | { |
---|
368 | if (strcmp(preim_par[i],par[j])==0) |
---|
369 | { |
---|
370 | if (BVERBOSE(V_IMAP)) |
---|
371 | Print("// par %s: nr %d -> par %d\n",preim_par[i],i+1,j+1); |
---|
372 | /* var i+1 from preimage ring is par j+1 (index j) from image ring */ |
---|
373 | par_perm[i]=-(j+1); |
---|
374 | } |
---|
375 | } |
---|
376 | } |
---|
377 | } |
---|
378 | } |
---|
379 | } |
---|
380 | |
---|
381 | /*2 |
---|
382 | * embeds poly p from the subring r into the current ring |
---|
383 | */ |
---|
384 | poly maIMap(ring r, poly p) |
---|
385 | { |
---|
386 | /* the simplest case:*/ |
---|
387 | if(r==currRing) return pCopy(p); |
---|
388 | nSetMap(rInternalChar(r),r->parameter,rPar(r),r->minpoly); |
---|
389 | int *perm=(int *)Alloc0((r->N+1)*sizeof(int)); |
---|
390 | //int *par_perm=(int *)Alloc0(rPar(r)*sizeof(int)); |
---|
391 | maFindPerm(r->names,r->N, r->parameter, r->P, |
---|
392 | currRing->names,currRing->N,currRing->parameter, currRing->P, |
---|
393 | perm,NULL, currRing->ch); |
---|
394 | poly res=pPermPoly(p,perm,r/*,par_perm,rPar(r)*/); |
---|
395 | Free((ADDRESS)perm,(r->N+1)*sizeof(int)); |
---|
396 | //Free((ADDRESS)par_perm,rPar(r)*sizeof(int)); |
---|
397 | return res; |
---|
398 | } |
---|
399 | |
---|
400 | /*3 |
---|
401 | * find the max. degree in one variable, but not larger than MAX_MAP_DEG |
---|
402 | */ |
---|
403 | static int maMaxDeg_Ma(ideal a,ring preimage_r) |
---|
404 | { |
---|
405 | int i,j; |
---|
406 | int N = preimage_r->N; |
---|
407 | poly p; |
---|
408 | int *m=(int *)Alloc0(N*sizeof(int)); |
---|
409 | |
---|
410 | for (i=MATROWS(a)*MATCOLS(a)-1;i>=0;i--) |
---|
411 | { |
---|
412 | p=a->m[i]; |
---|
413 | //pTest(p); // cannot test p because it is from another ring |
---|
414 | while(p!=NULL) |
---|
415 | { |
---|
416 | for(j=N-1;j>=0;j--) |
---|
417 | { |
---|
418 | m[j]=max(m[j],pRingGetExp(preimage_r, p,j+1)); |
---|
419 | if (m[j]>=MAX_MAP_DEG) |
---|
420 | { |
---|
421 | i=MAX_MAP_DEG; |
---|
422 | goto max_deg_fertig_id; |
---|
423 | } |
---|
424 | } |
---|
425 | pIter(p); |
---|
426 | } |
---|
427 | } |
---|
428 | i=m[0]; |
---|
429 | for(j=N-1;j>0;j--) |
---|
430 | { |
---|
431 | i=max(i,m[j]); |
---|
432 | } |
---|
433 | max_deg_fertig_id: |
---|
434 | Free((ADDRESS)m,N*sizeof(int)); |
---|
435 | return i; |
---|
436 | } |
---|
437 | |
---|
438 | /*3 |
---|
439 | * find the max. degree in one variable, but not larger than MAX_MAP_DEG |
---|
440 | */ |
---|
441 | static int maMaxDeg_P(poly p,ring preimage_r) |
---|
442 | { |
---|
443 | int i,j; |
---|
444 | int N = preimage_r->N; |
---|
445 | int *m=(int *)Alloc0(N*sizeof(int)); |
---|
446 | |
---|
447 | // pTest(p); |
---|
448 | while(p!=NULL) |
---|
449 | { |
---|
450 | for(j=N-1;j>=0;j--) |
---|
451 | { |
---|
452 | m[j]=max(m[j],pRingGetExp(preimage_r,p,j+1)); |
---|
453 | if (m[j]>=MAX_MAP_DEG) |
---|
454 | { |
---|
455 | i=MAX_MAP_DEG; |
---|
456 | goto max_deg_fertig_p; |
---|
457 | } |
---|
458 | } |
---|
459 | pIter(p); |
---|
460 | } |
---|
461 | i=m[0]; |
---|
462 | for(j=N-1;j>0;j--) |
---|
463 | { |
---|
464 | i=max(i,m[j]); |
---|
465 | } |
---|
466 | max_deg_fertig_p: |
---|
467 | Free((ADDRESS)m,N*sizeof(int)); |
---|
468 | return i; |
---|
469 | } |
---|
470 | |
---|
471 | /*2 |
---|
472 | * maps the expression w to res, |
---|
473 | * switch what: MAP_CMD: use theMap for mapping, N for preimage ring |
---|
474 | * FETCH_CMD: use pOrdPoly for mapping |
---|
475 | * IMAP_CMD: use perm for mapping, N for preimage ring |
---|
476 | * default: map only poly-structures, |
---|
477 | * use perm and par_perm, N and P, |
---|
478 | */ |
---|
479 | BOOLEAN maApplyFetch(int what,map theMap,leftv res, leftv w, ring preimage_r, |
---|
480 | int *perm, int *par_perm, int P) |
---|
481 | { |
---|
482 | int i; |
---|
483 | int N = preimage_r->N; |
---|
484 | //Print("N=%d ",N); |
---|
485 | //if (perm!=NULL) for(i=1;i<=N;i++) Print("%d -> %d ",i,perm[i]); |
---|
486 | //PrintS("\n"); |
---|
487 | //Print("P=%d ",P); |
---|
488 | //if (par_perm!=NULL) for(i=0;i<P;i++) Print("%d -> %d ",i,par_perm[i]); |
---|
489 | //PrintS("\n"); |
---|
490 | void *data=w->Data(); |
---|
491 | res->rtyp = w->rtyp; |
---|
492 | switch (w->rtyp) |
---|
493 | { |
---|
494 | case NUMBER_CMD: |
---|
495 | if (P!=0) |
---|
496 | { |
---|
497 | res->data=(void *)naPermNumber((number)data,par_perm,P); |
---|
498 | res->rtyp=POLY_CMD; |
---|
499 | if (currRing->minpoly!=NULL) |
---|
500 | res->data=(void *)pMult((poly)res->data,pOne()); |
---|
501 | } |
---|
502 | else |
---|
503 | { |
---|
504 | res->data=(void *)nMap((number)data); |
---|
505 | if (currRing->minpoly!=NULL) |
---|
506 | { |
---|
507 | number a=(number)res->data; |
---|
508 | number b=nInit(1); |
---|
509 | number c=nMult(a,b); |
---|
510 | nDelete(&a); |
---|
511 | nDelete(&b); |
---|
512 | res->data=(void *)c; |
---|
513 | } |
---|
514 | } |
---|
515 | break; |
---|
516 | case POLY_CMD: |
---|
517 | case VECTOR_CMD: |
---|
518 | if (what==FETCH_CMD) |
---|
519 | res->data=(void *)pFetchCopy(preimage_r, (poly)data); |
---|
520 | else if (what==IMAP_CMD) |
---|
521 | res->data=(void *)pPermPoly((poly)data,perm,preimage_r,par_perm,P); |
---|
522 | else /*if (what==MAP_CMD)*/ |
---|
523 | { |
---|
524 | matrix s=mpNew(N,maMaxDeg_P((poly)data, preimage_r)); |
---|
525 | res->data=(void *)maEval(theMap,(poly)data,preimage_r,s); |
---|
526 | idDelete((ideal *)&s); |
---|
527 | } |
---|
528 | if (currRing->minpoly!=NULL) |
---|
529 | res->data=(void *)pMult((poly)res->data,pOne()); |
---|
530 | pTest((poly)res->data); |
---|
531 | break; |
---|
532 | case MODUL_CMD: |
---|
533 | case MATRIX_CMD: |
---|
534 | case IDEAL_CMD: |
---|
535 | case MAP_CMD: |
---|
536 | { |
---|
537 | int C=((matrix)data)->cols(); |
---|
538 | int R; |
---|
539 | if (w->rtyp==MAP_CMD) R=1; |
---|
540 | else R=((matrix)data)->rows(); |
---|
541 | matrix m=mpNew(R,C); |
---|
542 | char *tmpR=NULL; |
---|
543 | if(w->rtyp==MAP_CMD) |
---|
544 | { |
---|
545 | tmpR=((map)data)->preimage; |
---|
546 | ((matrix)data)->rank=((matrix)data)->rows(); |
---|
547 | } |
---|
548 | if (what==FETCH_CMD) |
---|
549 | { |
---|
550 | for (i=R*C-1;i>=0;i--) |
---|
551 | { |
---|
552 | m->m[i]=pFetchCopy(preimage_r,((ideal)data)->m[i]); |
---|
553 | pTest(m->m[i]); |
---|
554 | } |
---|
555 | } |
---|
556 | else if (what==IMAP_CMD) |
---|
557 | { |
---|
558 | for (i=R*C-1;i>=0;i--) |
---|
559 | { |
---|
560 | m->m[i]=pPermPoly(((ideal)data)->m[i],perm,preimage_r,par_perm,P); |
---|
561 | pTest(m->m[i]); |
---|
562 | } |
---|
563 | } |
---|
564 | else /* if(what==MAP_CMD) */ |
---|
565 | { |
---|
566 | matrix s=mpNew(N,maMaxDeg_Ma((ideal)data,preimage_r)); |
---|
567 | for (i=R*C-1;i>=0;i--) |
---|
568 | { |
---|
569 | m->m[i]=maEval(theMap,((ideal)data)->m[i],preimage_r,s); |
---|
570 | pTest(m->m[i]); |
---|
571 | } |
---|
572 | idDelete((ideal *)&s); |
---|
573 | } |
---|
574 | if (currRing->minpoly!=NULL) |
---|
575 | { |
---|
576 | for (i=R*C-1;i>=0;i--) |
---|
577 | { |
---|
578 | m->m[i]=pMult(m->m[i],pOne()); |
---|
579 | pTest(m->m[i]); |
---|
580 | } |
---|
581 | } |
---|
582 | if(w->rtyp==MAP_CMD) |
---|
583 | { |
---|
584 | ((map)data)->preimage=tmpR; |
---|
585 | ((map)m)->preimage=mstrdup(tmpR); |
---|
586 | } |
---|
587 | else |
---|
588 | { |
---|
589 | m->rank=((matrix)data)->rank; |
---|
590 | } |
---|
591 | res->data=(char *)m; |
---|
592 | break; |
---|
593 | } |
---|
594 | case LIST_CMD: |
---|
595 | { |
---|
596 | lists l=(lists)data; |
---|
597 | lists ml=(lists)Alloc(sizeof(slists)); |
---|
598 | ml->Init(l->nr+1); |
---|
599 | for(i=0;i<=l->nr;i++) |
---|
600 | { |
---|
601 | if (((l->m[i].rtyp>BEGIN_RING)&&(l->m[i].rtyp<END_RING)) |
---|
602 | ||(l->m[i].rtyp==LIST_CMD)) |
---|
603 | { |
---|
604 | if (maApplyFetch(what,theMap,&ml->m[i],&l->m[i], |
---|
605 | preimage_r,perm,par_perm,P)) |
---|
606 | { |
---|
607 | ml->Clean(); |
---|
608 | Free((ADDRESS)ml,sizeof(slists)); |
---|
609 | res->rtyp=0; |
---|
610 | return TRUE; |
---|
611 | } |
---|
612 | } |
---|
613 | else |
---|
614 | { |
---|
615 | ml->m[i].Copy(&l->m[i]); |
---|
616 | } |
---|
617 | } |
---|
618 | res->data=(char *)ml; |
---|
619 | break; |
---|
620 | } |
---|
621 | default: |
---|
622 | { |
---|
623 | return TRUE; |
---|
624 | } |
---|
625 | } |
---|
626 | return FALSE; |
---|
627 | } |
---|
628 | |
---|