[0f401f] | 1 | /**************************************** |
---|
| 2 | * Computer Algebra System SINGULAR * |
---|
| 3 | ****************************************/ |
---|
| 4 | /* $Id: ideals.cc 14320 2011-07-04 14:48:27Z hannes $ */ |
---|
| 5 | /* |
---|
| 6 | * ABSTRACT - all basic methods to manipulate ideals |
---|
| 7 | */ |
---|
| 8 | |
---|
| 9 | /* includes */ |
---|
[762407] | 10 | #include "config.h" |
---|
[e6e2198] | 11 | #include "mod2.h" |
---|
| 12 | |
---|
[f11ea16] | 13 | #include <omalloc/omalloc.h> |
---|
| 14 | #include <misc/auxiliary.h> |
---|
| 15 | |
---|
[0f401f] | 16 | |
---|
| 17 | #ifndef NDEBUG |
---|
| 18 | # define MYTEST 0 |
---|
| 19 | #else /* ifndef NDEBUG */ |
---|
[e6e2198] | 20 | # define MYTEST 0 |
---|
[0f401f] | 21 | #endif /* ifndef NDEBUG */ |
---|
| 22 | |
---|
| 23 | #include <omalloc/omalloc.h> |
---|
[e6e2198] | 24 | |
---|
| 25 | #include <misc/options.h> |
---|
| 26 | #include <misc/intvec.h> |
---|
| 27 | |
---|
[76cfef] | 28 | #include <coeffs/coeffs.h> |
---|
| 29 | #include <coeffs/numbers.h> |
---|
[e6e2198] | 30 | |
---|
[737a68] | 31 | #include <kernel/polys.h> |
---|
[210e07] | 32 | #include <polys/monomials/ring.h> |
---|
[76cfef] | 33 | #include <polys/matpol.h> |
---|
| 34 | #include <polys/weight.h> |
---|
[210e07] | 35 | #include <polys/sparsmat.h> |
---|
[76cfef] | 36 | #include <polys/prCopy.h> |
---|
[210e07] | 37 | #include <polys/nc/nc.h> |
---|
[0f401f] | 38 | |
---|
[1f637e] | 39 | |
---|
[e6e2198] | 40 | #include <kernel/ideals.h> |
---|
| 41 | |
---|
| 42 | #include <kernel/febase.h> |
---|
| 43 | #include <kernel/kstd1.h> |
---|
| 44 | #include <kernel/syz.h> |
---|
| 45 | |
---|
| 46 | #include <kernel/longrat.h> |
---|
| 47 | |
---|
[0f401f] | 48 | |
---|
| 49 | /* #define WITH_OLD_MINOR */ |
---|
| 50 | #define pCopy_noCheck(p) pCopy(p) |
---|
| 51 | |
---|
| 52 | static poly * idpower; |
---|
| 53 | /*collects the monomials in makemonoms, must be allocated befor*/ |
---|
| 54 | static int idpowerpoint; |
---|
| 55 | /*index of the actual monomial in idpower*/ |
---|
| 56 | static poly * givenideal; |
---|
| 57 | /*the ideal from which a power is computed*/ |
---|
| 58 | |
---|
| 59 | /*0 implementation*/ |
---|
| 60 | |
---|
| 61 | /*2 |
---|
| 62 | *returns a minimized set of generators of h1 |
---|
| 63 | */ |
---|
| 64 | ideal idMinBase (ideal h1) |
---|
| 65 | { |
---|
| 66 | ideal h2, h3,h4,e; |
---|
| 67 | int j,k; |
---|
| 68 | int i,l,ll; |
---|
| 69 | intvec * wth; |
---|
| 70 | BOOLEAN homog; |
---|
| 71 | |
---|
| 72 | homog = idHomModule(h1,currQuotient,&wth); |
---|
[b7cfaf] | 73 | if (rHasGlobalOrdering(currRing)) |
---|
[0f401f] | 74 | { |
---|
| 75 | if(!homog) |
---|
| 76 | { |
---|
| 77 | WarnS("minbase applies only to the local or homogeneous case"); |
---|
| 78 | e=idCopy(h1); |
---|
| 79 | return e; |
---|
| 80 | } |
---|
| 81 | else |
---|
| 82 | { |
---|
| 83 | ideal re=kMin_std(h1,currQuotient,(tHomog)homog,&wth,h2,NULL,0,3); |
---|
| 84 | idDelete(&re); |
---|
| 85 | return h2; |
---|
| 86 | } |
---|
| 87 | } |
---|
| 88 | e=idInit(1,h1->rank); |
---|
| 89 | if (idIs0(h1)) |
---|
| 90 | { |
---|
| 91 | return e; |
---|
| 92 | } |
---|
| 93 | pEnlargeSet(&(e->m),IDELEMS(e),15); |
---|
| 94 | IDELEMS(e) = 16; |
---|
| 95 | h2 = kStd(h1,currQuotient,isNotHomog,NULL); |
---|
[b7cfaf] | 96 | h3 = idMaxIdeal(1); |
---|
[0f401f] | 97 | h4=idMult(h2,h3); |
---|
| 98 | idDelete(&h3); |
---|
| 99 | h3=kStd(h4,currQuotient,isNotHomog,NULL); |
---|
| 100 | k = IDELEMS(h3); |
---|
| 101 | while ((k > 0) && (h3->m[k-1] == NULL)) k--; |
---|
| 102 | j = -1; |
---|
| 103 | l = IDELEMS(h2); |
---|
| 104 | while ((l > 0) && (h2->m[l-1] == NULL)) l--; |
---|
| 105 | for (i=l-1; i>=0; i--) |
---|
| 106 | { |
---|
| 107 | if (h2->m[i] != NULL) |
---|
| 108 | { |
---|
| 109 | ll = 0; |
---|
| 110 | while ((ll < k) && ((h3->m[ll] == NULL) |
---|
| 111 | || !pDivisibleBy(h3->m[ll],h2->m[i]))) |
---|
| 112 | ll++; |
---|
| 113 | if (ll >= k) |
---|
| 114 | { |
---|
| 115 | j++; |
---|
| 116 | if (j > IDELEMS(e)-1) |
---|
| 117 | { |
---|
| 118 | pEnlargeSet(&(e->m),IDELEMS(e),16); |
---|
| 119 | IDELEMS(e) += 16; |
---|
| 120 | } |
---|
| 121 | e->m[j] = pCopy(h2->m[i]); |
---|
| 122 | } |
---|
| 123 | } |
---|
| 124 | } |
---|
| 125 | idDelete(&h2); |
---|
| 126 | idDelete(&h3); |
---|
| 127 | idDelete(&h4); |
---|
| 128 | if (currQuotient!=NULL) |
---|
| 129 | { |
---|
| 130 | h3=idInit(1,e->rank); |
---|
| 131 | h2=kNF(h3,currQuotient,e); |
---|
| 132 | idDelete(&h3); |
---|
| 133 | idDelete(&e); |
---|
| 134 | e=h2; |
---|
| 135 | } |
---|
| 136 | idSkipZeroes(e); |
---|
| 137 | return e; |
---|
| 138 | } |
---|
| 139 | |
---|
| 140 | |
---|
| 141 | /*3 |
---|
| 142 | *multiplies p with t (!cas) or (t-1) |
---|
| 143 | *the index of t is:1, so we have to shift all variables |
---|
| 144 | *p is NOT in the actual ring, it has no t |
---|
| 145 | */ |
---|
| 146 | static poly pMultWithT (poly p,BOOLEAN cas) |
---|
| 147 | { |
---|
| 148 | /*qp is the working pointer in p*/ |
---|
| 149 | /*result is the result, qresult is the working pointer*/ |
---|
| 150 | /*pp is p in the actual ring(shifted), qpp the working pointer*/ |
---|
| 151 | poly result,qp,pp; |
---|
| 152 | poly qresult=NULL; |
---|
| 153 | poly qpp=NULL; |
---|
| 154 | int i,j,lex; |
---|
| 155 | number n; |
---|
| 156 | |
---|
| 157 | pp = NULL; |
---|
| 158 | result = NULL; |
---|
| 159 | qp = p; |
---|
| 160 | while (qp != NULL) |
---|
| 161 | { |
---|
| 162 | i = 0; |
---|
| 163 | if (result == NULL) |
---|
| 164 | {/*first monomial*/ |
---|
| 165 | result = pInit(); |
---|
| 166 | qresult = result; |
---|
| 167 | } |
---|
| 168 | else |
---|
| 169 | { |
---|
| 170 | qresult->next = pInit(); |
---|
| 171 | pIter(qresult); |
---|
| 172 | } |
---|
[1f637e] | 173 | for (j=(currRing->N)-1; j>0; j--) |
---|
[0f401f] | 174 | { |
---|
| 175 | lex = pGetExp(qp,j); |
---|
| 176 | pSetExp(qresult,j+1,lex);/*copy all variables*/ |
---|
| 177 | } |
---|
| 178 | lex = pGetComp(qp); |
---|
| 179 | pSetComp(qresult,lex); |
---|
| 180 | n=nCopy(pGetCoeff(qp)); |
---|
| 181 | pSetCoeff0(qresult,n); |
---|
| 182 | qresult->next = NULL; |
---|
| 183 | pSetm(qresult); |
---|
| 184 | /*qresult is now qp brought into the actual ring*/ |
---|
| 185 | if (cas) |
---|
| 186 | { /*case: mult with t-1*/ |
---|
| 187 | pSetExp(qresult,1,0); |
---|
| 188 | pSetm(qresult); |
---|
| 189 | if (pp == NULL) |
---|
| 190 | { /*first monomial*/ |
---|
| 191 | pp = pCopy(qresult); |
---|
| 192 | qpp = pp; |
---|
| 193 | } |
---|
| 194 | else |
---|
| 195 | { |
---|
| 196 | qpp->next = pCopy(qresult); |
---|
| 197 | pIter(qpp); |
---|
| 198 | } |
---|
| 199 | pGetCoeff(qpp)=nNeg(pGetCoeff(qpp)); |
---|
| 200 | /*now qpp contains -1*qp*/ |
---|
| 201 | } |
---|
| 202 | pSetExp(qresult,1,1);/*this is mult. by t*/ |
---|
| 203 | pSetm(qresult); |
---|
| 204 | pIter(qp); |
---|
| 205 | } |
---|
| 206 | /* |
---|
| 207 | *now p is processed: |
---|
| 208 | *result contains t*p |
---|
| 209 | * if cas: pp contains -1*p (in the new ring) |
---|
| 210 | */ |
---|
| 211 | if (cas) qresult->next = pp; |
---|
| 212 | /* else qresult->next = NULL;*/ |
---|
| 213 | return result; |
---|
| 214 | } |
---|
| 215 | |
---|
| 216 | /*2 |
---|
| 217 | *initialized a field with r numbers between beg and end for the |
---|
| 218 | *procedure idNextChoise |
---|
| 219 | */ |
---|
| 220 | ideal idSectWithElim (ideal h1,ideal h2) |
---|
| 221 | // does not destroy h1,h2 |
---|
| 222 | { |
---|
| 223 | if (TEST_OPT_PROT) PrintS("intersect by elimination method\n"); |
---|
| 224 | assume(!idIs0(h1)); |
---|
| 225 | assume(!idIs0(h2)); |
---|
| 226 | assume(IDELEMS(h1)<=IDELEMS(h2)); |
---|
[7b25fe] | 227 | assume(id_RankFreeModule(h1,currRing)==0); |
---|
| 228 | assume(id_RankFreeModule(h2,currRing)==0); |
---|
[0f401f] | 229 | // add a new variable: |
---|
| 230 | int j; |
---|
| 231 | ring origRing=currRing; |
---|
| 232 | ring r=rCopy0(origRing); |
---|
| 233 | r->N++; |
---|
| 234 | r->block0[0]=1; |
---|
| 235 | r->block1[0]= r->N; |
---|
| 236 | omFree(r->order); |
---|
| 237 | r->order=(int*)omAlloc0(3*sizeof(int*)); |
---|
| 238 | r->order[0]=ringorder_dp; |
---|
| 239 | r->order[1]=ringorder_C; |
---|
| 240 | char **names=(char**)omAlloc0(rVar(r) * sizeof(char_ptr)); |
---|
| 241 | for (j=0;j<r->N-1;j++) names[j]=r->names[j]; |
---|
| 242 | names[r->N-1]=omStrDup("@"); |
---|
| 243 | omFree(r->names); |
---|
| 244 | r->names=names; |
---|
| 245 | rComplete(r,TRUE); |
---|
| 246 | // fetch h1, h2 |
---|
| 247 | ideal h; |
---|
| 248 | h1=idrCopyR(h1,origRing,r); |
---|
| 249 | h2=idrCopyR(h2,origRing,r); |
---|
| 250 | // switch to temp. ring r |
---|
| 251 | rChangeCurrRing(r); |
---|
| 252 | // create 1-t, t |
---|
[861529] | 253 | poly omt=p_One(currRing); |
---|
| 254 | p_SetExp(omt,r->N,1,currRing); |
---|
| 255 | poly t=p_Copy(omt,currRing); |
---|
| 256 | p_Setm(omt,currRing); |
---|
| 257 | omt=p_Neg(omt,currRing); |
---|
| 258 | omt=p_Add_q(omt,pOne(),currRing); |
---|
[0f401f] | 259 | // compute (1-t)*h1 |
---|
[861529] | 260 | h1=(ideal)mp_MultP((matrix)h1,omt,currRing); |
---|
[0f401f] | 261 | // compute t*h2 |
---|
[861529] | 262 | h2=(ideal)mp_MultP((matrix)h2,pCopy(t),currRing); |
---|
[0f401f] | 263 | // (1-t)h1 + t*h2 |
---|
| 264 | h=idInit(IDELEMS(h1)+IDELEMS(h2),1); |
---|
| 265 | int l; |
---|
| 266 | for (l=IDELEMS(h1)-1; l>=0; l--) |
---|
| 267 | { |
---|
| 268 | h->m[l] = h1->m[l]; h1->m[l]=NULL; |
---|
| 269 | } |
---|
| 270 | j=IDELEMS(h1); |
---|
| 271 | for (l=IDELEMS(h2)-1; l>=0; l--) |
---|
| 272 | { |
---|
| 273 | h->m[l+j] = h2->m[l]; h2->m[l]=NULL; |
---|
| 274 | } |
---|
| 275 | idDelete(&h1); |
---|
| 276 | idDelete(&h2); |
---|
| 277 | // eliminate t: |
---|
| 278 | |
---|
| 279 | ideal res=idElimination(h,t); |
---|
[a5d181c] | 280 | // cleanup |
---|
[0f401f] | 281 | idDelete(&h); |
---|
[a5d181c] | 282 | if (res!=NULL) res=idrMoveR(res,r,origRing); |
---|
[0f401f] | 283 | rChangeCurrRing(origRing); |
---|
[5fe834] | 284 | rDelete(r); |
---|
[0f401f] | 285 | return res; |
---|
| 286 | } |
---|
| 287 | /*2 |
---|
| 288 | * h3 := h1 intersect h2 |
---|
| 289 | */ |
---|
| 290 | ideal idSect (ideal h1,ideal h2) |
---|
| 291 | { |
---|
| 292 | int i,j,k,length; |
---|
[7b25fe] | 293 | int flength = id_RankFreeModule(h1,currRing); |
---|
| 294 | int slength = id_RankFreeModule(h2,currRing); |
---|
[0f401f] | 295 | int rank=si_min(flength,slength); |
---|
| 296 | if ((idIs0(h1)) || (idIs0(h2))) return idInit(1,rank); |
---|
| 297 | |
---|
| 298 | ideal first,second,temp,temp1,result; |
---|
| 299 | poly p,q; |
---|
| 300 | |
---|
| 301 | if (IDELEMS(h1)<IDELEMS(h2)) |
---|
| 302 | { |
---|
| 303 | first = h1; |
---|
| 304 | second = h2; |
---|
| 305 | } |
---|
| 306 | else |
---|
| 307 | { |
---|
| 308 | first = h2; |
---|
| 309 | second = h1; |
---|
| 310 | int t=flength; flength=slength; slength=t; |
---|
| 311 | } |
---|
| 312 | length = si_max(flength,slength); |
---|
| 313 | if (length==0) |
---|
| 314 | { |
---|
| 315 | if ((currQuotient==NULL) |
---|
| 316 | && (currRing->OrdSgn==1) |
---|
| 317 | && (!rIsPluralRing(currRing)) |
---|
| 318 | && ((TEST_V_INTERSECT_ELIM) || (!TEST_V_INTERSECT_SYZ))) |
---|
| 319 | return idSectWithElim(first,second); |
---|
| 320 | else length = 1; |
---|
| 321 | } |
---|
| 322 | if (TEST_OPT_PROT) PrintS("intersect by syzygy methods\n"); |
---|
| 323 | j = IDELEMS(first); |
---|
| 324 | |
---|
| 325 | ring orig_ring=currRing; |
---|
[3f07d1] | 326 | ring syz_ring=rAssure_SyzComp(orig_ring,TRUE); rChangeCurrRing(syz_ring); |
---|
[b7cfaf] | 327 | rSetSyzComp(length, syz_ring); |
---|
[0f401f] | 328 | |
---|
| 329 | while ((j>0) && (first->m[j-1]==NULL)) j--; |
---|
| 330 | temp = idInit(j /*IDELEMS(first)*/+IDELEMS(second),length+j); |
---|
| 331 | k = 0; |
---|
| 332 | for (i=0;i<j;i++) |
---|
| 333 | { |
---|
| 334 | if (first->m[i]!=NULL) |
---|
| 335 | { |
---|
| 336 | if (syz_ring==orig_ring) |
---|
| 337 | temp->m[k] = pCopy(first->m[i]); |
---|
| 338 | else |
---|
[861529] | 339 | temp->m[k] = prCopyR(first->m[i], orig_ring, syz_ring); |
---|
[0f401f] | 340 | q = pOne(); |
---|
| 341 | pSetComp(q,i+1+length); |
---|
| 342 | pSetmComp(q); |
---|
[861529] | 343 | if (flength==0) p_Shift(&(temp->m[k]),1,currRing); |
---|
[0f401f] | 344 | p = temp->m[k]; |
---|
| 345 | while (pNext(p)!=NULL) pIter(p); |
---|
| 346 | pNext(p) = q; |
---|
| 347 | k++; |
---|
| 348 | } |
---|
| 349 | } |
---|
| 350 | for (i=0;i<IDELEMS(second);i++) |
---|
| 351 | { |
---|
| 352 | if (second->m[i]!=NULL) |
---|
| 353 | { |
---|
| 354 | if (syz_ring==orig_ring) |
---|
| 355 | temp->m[k] = pCopy(second->m[i]); |
---|
| 356 | else |
---|
[861529] | 357 | temp->m[k] = prCopyR(second->m[i], orig_ring,currRing); |
---|
| 358 | if (slength==0) p_Shift(&(temp->m[k]),1,currRing); |
---|
[0f401f] | 359 | k++; |
---|
| 360 | } |
---|
| 361 | } |
---|
| 362 | intvec *w=NULL; |
---|
| 363 | temp1 = kStd(temp,currQuotient,testHomog,&w,NULL,length); |
---|
| 364 | if (w!=NULL) delete w; |
---|
| 365 | idDelete(&temp); |
---|
| 366 | if(syz_ring!=orig_ring) |
---|
| 367 | rChangeCurrRing(orig_ring); |
---|
| 368 | |
---|
| 369 | result = idInit(IDELEMS(temp1),rank); |
---|
| 370 | j = 0; |
---|
| 371 | for (i=0;i<IDELEMS(temp1);i++) |
---|
| 372 | { |
---|
| 373 | if ((temp1->m[i]!=NULL) |
---|
| 374 | && (p_GetComp(temp1->m[i],syz_ring)>length)) |
---|
| 375 | { |
---|
| 376 | if(syz_ring==orig_ring) |
---|
| 377 | { |
---|
| 378 | p = temp1->m[i]; |
---|
| 379 | } |
---|
| 380 | else |
---|
| 381 | { |
---|
[b7cfaf] | 382 | p = prMoveR(temp1->m[i], syz_ring,orig_ring); |
---|
[0f401f] | 383 | } |
---|
| 384 | temp1->m[i]=NULL; |
---|
| 385 | while (p!=NULL) |
---|
| 386 | { |
---|
| 387 | q = pNext(p); |
---|
| 388 | pNext(p) = NULL; |
---|
| 389 | k = pGetComp(p)-1-length; |
---|
| 390 | pSetComp(p,0); |
---|
| 391 | pSetmComp(p); |
---|
| 392 | /* Warning! multiply only from the left! it's very important for Plural */ |
---|
| 393 | result->m[j] = pAdd(result->m[j],pMult(p,pCopy(first->m[k]))); |
---|
| 394 | p = q; |
---|
| 395 | } |
---|
| 396 | j++; |
---|
| 397 | } |
---|
| 398 | } |
---|
| 399 | if(syz_ring!=orig_ring) |
---|
| 400 | { |
---|
| 401 | rChangeCurrRing(syz_ring); |
---|
| 402 | idDelete(&temp1); |
---|
| 403 | rChangeCurrRing(orig_ring); |
---|
[5fe834] | 404 | rDelete(syz_ring); |
---|
[0f401f] | 405 | } |
---|
| 406 | else |
---|
| 407 | { |
---|
| 408 | idDelete(&temp1); |
---|
| 409 | } |
---|
| 410 | |
---|
| 411 | idSkipZeroes(result); |
---|
| 412 | if (TEST_OPT_RETURN_SB) |
---|
| 413 | { |
---|
| 414 | w=NULL; |
---|
| 415 | temp1=kStd(result,currQuotient,testHomog,&w); |
---|
| 416 | if (w!=NULL) delete w; |
---|
| 417 | idDelete(&result); |
---|
| 418 | idSkipZeroes(temp1); |
---|
| 419 | return temp1; |
---|
| 420 | } |
---|
| 421 | else //temp1=kInterRed(result,currQuotient); |
---|
| 422 | return result; |
---|
| 423 | } |
---|
| 424 | |
---|
| 425 | /*2 |
---|
| 426 | * ideal/module intersection for a list of objects |
---|
| 427 | * given as 'resolvente' |
---|
| 428 | */ |
---|
| 429 | ideal idMultSect(resolvente arg, int length) |
---|
| 430 | { |
---|
| 431 | int i,j=0,k=0,syzComp,l,maxrk=-1,realrki; |
---|
| 432 | ideal bigmat,tempstd,result; |
---|
| 433 | poly p; |
---|
| 434 | int isIdeal=0; |
---|
| 435 | intvec * w=NULL; |
---|
| 436 | |
---|
| 437 | /* find 0-ideals and max rank -----------------------------------*/ |
---|
| 438 | for (i=0;i<length;i++) |
---|
| 439 | { |
---|
| 440 | if (!idIs0(arg[i])) |
---|
| 441 | { |
---|
[7b25fe] | 442 | realrki=id_RankFreeModule(arg[i],currRing); |
---|
[0f401f] | 443 | k++; |
---|
| 444 | j += IDELEMS(arg[i]); |
---|
| 445 | if (realrki>maxrk) maxrk = realrki; |
---|
| 446 | } |
---|
| 447 | else |
---|
| 448 | { |
---|
| 449 | if (arg[i]!=NULL) |
---|
| 450 | { |
---|
| 451 | return idInit(1,arg[i]->rank); |
---|
| 452 | } |
---|
| 453 | } |
---|
| 454 | } |
---|
| 455 | if (maxrk == 0) |
---|
| 456 | { |
---|
| 457 | isIdeal = 1; |
---|
| 458 | maxrk = 1; |
---|
| 459 | } |
---|
| 460 | /* init -----------------------------------------------------------*/ |
---|
| 461 | j += maxrk; |
---|
| 462 | syzComp = k*maxrk; |
---|
| 463 | |
---|
| 464 | ring orig_ring=currRing; |
---|
[3f07d1] | 465 | ring syz_ring=rAssure_SyzComp(orig_ring,TRUE); rChangeCurrRing(syz_ring); |
---|
[b7cfaf] | 466 | rSetSyzComp(syzComp, syz_ring); |
---|
[0f401f] | 467 | |
---|
| 468 | bigmat = idInit(j,(k+1)*maxrk); |
---|
| 469 | /* create unit matrices ------------------------------------------*/ |
---|
| 470 | for (i=0;i<maxrk;i++) |
---|
| 471 | { |
---|
| 472 | for (j=0;j<=k;j++) |
---|
| 473 | { |
---|
| 474 | p = pOne(); |
---|
| 475 | pSetComp(p,i+1+j*maxrk); |
---|
| 476 | pSetmComp(p); |
---|
| 477 | bigmat->m[i] = pAdd(bigmat->m[i],p); |
---|
| 478 | } |
---|
| 479 | } |
---|
| 480 | /* enter given ideals ------------------------------------------*/ |
---|
| 481 | i = maxrk; |
---|
| 482 | k = 0; |
---|
| 483 | for (j=0;j<length;j++) |
---|
| 484 | { |
---|
| 485 | if (arg[j]!=NULL) |
---|
| 486 | { |
---|
| 487 | for (l=0;l<IDELEMS(arg[j]);l++) |
---|
| 488 | { |
---|
| 489 | if (arg[j]->m[l]!=NULL) |
---|
| 490 | { |
---|
| 491 | if (syz_ring==orig_ring) |
---|
| 492 | bigmat->m[i] = pCopy(arg[j]->m[l]); |
---|
| 493 | else |
---|
[861529] | 494 | bigmat->m[i] = prCopyR(arg[j]->m[l], orig_ring,currRing); |
---|
| 495 | p_Shift(&(bigmat->m[i]),k*maxrk+isIdeal,currRing); |
---|
[0f401f] | 496 | i++; |
---|
| 497 | } |
---|
| 498 | } |
---|
| 499 | k++; |
---|
| 500 | } |
---|
| 501 | } |
---|
| 502 | /* std computation --------------------------------------------*/ |
---|
| 503 | tempstd = kStd(bigmat,currQuotient,testHomog,&w,NULL,syzComp); |
---|
| 504 | if (w!=NULL) delete w; |
---|
| 505 | idDelete(&bigmat); |
---|
| 506 | |
---|
| 507 | if(syz_ring!=orig_ring) |
---|
| 508 | rChangeCurrRing(orig_ring); |
---|
| 509 | |
---|
| 510 | /* interprete result ----------------------------------------*/ |
---|
| 511 | result = idInit(IDELEMS(tempstd),maxrk); |
---|
| 512 | k = 0; |
---|
| 513 | for (j=0;j<IDELEMS(tempstd);j++) |
---|
| 514 | { |
---|
| 515 | if ((tempstd->m[j]!=NULL) && (p_GetComp(tempstd->m[j],syz_ring)>syzComp)) |
---|
| 516 | { |
---|
| 517 | if (syz_ring==orig_ring) |
---|
| 518 | p = pCopy(tempstd->m[j]); |
---|
| 519 | else |
---|
[441a2e] | 520 | p = prCopyR(tempstd->m[j], syz_ring,currRing); |
---|
[861529] | 521 | p_Shift(&p,-syzComp-isIdeal,currRing); |
---|
[0f401f] | 522 | result->m[k] = p; |
---|
| 523 | k++; |
---|
| 524 | } |
---|
| 525 | } |
---|
| 526 | /* clean up ----------------------------------------------------*/ |
---|
| 527 | if(syz_ring!=orig_ring) |
---|
| 528 | rChangeCurrRing(syz_ring); |
---|
| 529 | idDelete(&tempstd); |
---|
| 530 | if(syz_ring!=orig_ring) |
---|
| 531 | { |
---|
| 532 | rChangeCurrRing(orig_ring); |
---|
[5fe834] | 533 | rDelete(syz_ring); |
---|
[0f401f] | 534 | } |
---|
| 535 | idSkipZeroes(result); |
---|
| 536 | return result; |
---|
| 537 | } |
---|
| 538 | |
---|
| 539 | /*2 |
---|
| 540 | *computes syzygies of h1, |
---|
| 541 | *if quot != NULL it computes in the quotient ring modulo "quot" |
---|
| 542 | *works always in a ring with ringorder_s |
---|
| 543 | */ |
---|
| 544 | static ideal idPrepare (ideal h1, tHomog hom, int syzcomp, intvec **w) |
---|
| 545 | { |
---|
| 546 | ideal h2, h3; |
---|
| 547 | int i; |
---|
| 548 | int j,jj=0,k; |
---|
| 549 | poly p,q; |
---|
| 550 | |
---|
| 551 | if (idIs0(h1)) return NULL; |
---|
[7b25fe] | 552 | k = id_RankFreeModule(h1,currRing); |
---|
[0f401f] | 553 | h2=idCopy(h1); |
---|
| 554 | i = IDELEMS(h2)-1; |
---|
| 555 | if (k == 0) |
---|
| 556 | { |
---|
[861529] | 557 | for (j=0; j<=i; j++) p_Shift(&(h2->m[j]),1,currRing); |
---|
[0f401f] | 558 | k = 1; |
---|
| 559 | } |
---|
| 560 | if (syzcomp<k) |
---|
| 561 | { |
---|
| 562 | Warn("syzcomp too low, should be %d instead of %d",k,syzcomp); |
---|
| 563 | syzcomp = k; |
---|
[b7cfaf] | 564 | rSetSyzComp(k,currRing); |
---|
[0f401f] | 565 | } |
---|
| 566 | h2->rank = syzcomp+i+1; |
---|
| 567 | |
---|
| 568 | //if (hom==testHomog) |
---|
| 569 | //{ |
---|
| 570 | // if(idHomIdeal(h1,currQuotient)) |
---|
| 571 | // { |
---|
| 572 | // hom=TRUE; |
---|
| 573 | // } |
---|
| 574 | //} |
---|
| 575 | |
---|
| 576 | #if MYTEST |
---|
| 577 | #ifdef RDEBUG |
---|
| 578 | Print("Prepare::h2: "); |
---|
| 579 | idPrint(h2); |
---|
| 580 | |
---|
| 581 | for(j=0;j<IDELEMS(h2);j++) pTest(h2->m[j]); |
---|
| 582 | |
---|
| 583 | #endif |
---|
| 584 | #endif |
---|
| 585 | |
---|
| 586 | for (j=0; j<=i; j++) |
---|
| 587 | { |
---|
| 588 | p = h2->m[j]; |
---|
| 589 | q = pOne(); |
---|
| 590 | pSetComp(q,syzcomp+1+j); |
---|
| 591 | pSetmComp(q); |
---|
| 592 | if (p!=NULL) |
---|
| 593 | { |
---|
| 594 | while (pNext(p)) pIter(p); |
---|
| 595 | p->next = q; |
---|
| 596 | } |
---|
| 597 | else |
---|
| 598 | h2->m[j]=q; |
---|
| 599 | } |
---|
| 600 | |
---|
| 601 | #ifdef PDEBUG |
---|
| 602 | for(j=0;j<IDELEMS(h2);j++) pTest(h2->m[j]); |
---|
| 603 | |
---|
| 604 | #if MYTEST |
---|
| 605 | #ifdef RDEBUG |
---|
| 606 | Print("Prepare::Input: "); |
---|
| 607 | idPrint(h2); |
---|
| 608 | |
---|
| 609 | Print("Prepare::currQuotient: "); |
---|
| 610 | idPrint(currQuotient); |
---|
| 611 | #endif |
---|
| 612 | #endif |
---|
| 613 | |
---|
| 614 | #endif |
---|
| 615 | |
---|
| 616 | idTest(h2); |
---|
| 617 | |
---|
| 618 | h3 = kStd(h2,currQuotient,hom,w,NULL,syzcomp); |
---|
| 619 | |
---|
| 620 | #if MYTEST |
---|
| 621 | #ifdef RDEBUG |
---|
| 622 | Print("Prepare::Output: "); |
---|
| 623 | idPrint(h3); |
---|
| 624 | for(j=0;j<IDELEMS(h2);j++) pTest(h3->m[j]); |
---|
| 625 | #endif |
---|
| 626 | #endif |
---|
| 627 | |
---|
| 628 | |
---|
| 629 | idDelete(&h2); |
---|
| 630 | return h3; |
---|
| 631 | } |
---|
| 632 | |
---|
| 633 | /*2 |
---|
| 634 | * compute the syzygies of h1 in R/quot, |
---|
| 635 | * weights of components are in w |
---|
| 636 | * if setRegularity, return the regularity in deg |
---|
| 637 | * do not change h1, w |
---|
| 638 | */ |
---|
| 639 | ideal idSyzygies (ideal h1, tHomog h,intvec **w, BOOLEAN setSyzComp, |
---|
| 640 | BOOLEAN setRegularity, int *deg) |
---|
| 641 | { |
---|
| 642 | ideal s_h1; |
---|
| 643 | poly p; |
---|
| 644 | int j, k, length=0,reg; |
---|
| 645 | BOOLEAN isMonomial=TRUE; |
---|
| 646 | int ii, idElemens_h1; |
---|
| 647 | |
---|
| 648 | assume(h1 != NULL); |
---|
| 649 | |
---|
| 650 | idElemens_h1=IDELEMS(h1); |
---|
| 651 | #ifdef PDEBUG |
---|
| 652 | for(ii=0;ii<idElemens_h1 /*IDELEMS(h1)*/;ii++) pTest(h1->m[ii]); |
---|
| 653 | #endif |
---|
| 654 | if (idIs0(h1)) |
---|
| 655 | { |
---|
| 656 | ideal result=idFreeModule(idElemens_h1/*IDELEMS(h1)*/); |
---|
[861529] | 657 | int curr_syz_limit=rGetCurrSyzLimit(currRing); |
---|
[0f401f] | 658 | if (curr_syz_limit>0) |
---|
| 659 | for (ii=0;ii<idElemens_h1/*IDELEMS(h1)*/;ii++) |
---|
| 660 | { |
---|
| 661 | if (h1->m[ii]!=NULL) |
---|
[861529] | 662 | p_Shift(&h1->m[ii],curr_syz_limit,currRing); |
---|
[0f401f] | 663 | } |
---|
| 664 | return result; |
---|
| 665 | } |
---|
[7b25fe] | 666 | int slength=(int)id_RankFreeModule(h1,currRing); |
---|
| 667 | k=si_max(1,slength /*id_RankFreeModule(h1)*/); |
---|
[0f401f] | 668 | |
---|
| 669 | assume(currRing != NULL); |
---|
| 670 | ring orig_ring=currRing; |
---|
[3f07d1] | 671 | ring syz_ring=rAssure_SyzComp(orig_ring,TRUE); rChangeCurrRing(syz_ring); |
---|
[0f401f] | 672 | |
---|
| 673 | if (setSyzComp) |
---|
[b7cfaf] | 674 | rSetSyzComp(k,syz_ring); |
---|
[0f401f] | 675 | |
---|
| 676 | if (orig_ring != syz_ring) |
---|
| 677 | { |
---|
[441a2e] | 678 | s_h1=idrCopyR_NoSort(h1,orig_ring,syz_ring); |
---|
[0f401f] | 679 | } |
---|
| 680 | else |
---|
| 681 | { |
---|
| 682 | s_h1 = h1; |
---|
| 683 | } |
---|
| 684 | |
---|
| 685 | idTest(s_h1); |
---|
| 686 | |
---|
| 687 | ideal s_h3=idPrepare(s_h1,h,k,w); // main (syz) GB computation |
---|
| 688 | |
---|
| 689 | if (s_h3==NULL) |
---|
| 690 | { |
---|
| 691 | return idFreeModule( idElemens_h1 /*IDELEMS(h1)*/); |
---|
| 692 | } |
---|
| 693 | |
---|
| 694 | if (orig_ring != syz_ring) |
---|
| 695 | { |
---|
| 696 | idDelete(&s_h1); |
---|
| 697 | for (j=0; j<IDELEMS(s_h3); j++) |
---|
| 698 | { |
---|
| 699 | if (s_h3->m[j] != NULL) |
---|
| 700 | { |
---|
| 701 | if (p_MinComp(s_h3->m[j],syz_ring) > k) |
---|
[f9591a] | 702 | p_Shift(&s_h3->m[j], -k,syz_ring); |
---|
[0f401f] | 703 | else |
---|
[f9591a] | 704 | p_Delete(&s_h3->m[j],syz_ring); |
---|
[0f401f] | 705 | } |
---|
| 706 | } |
---|
| 707 | idSkipZeroes(s_h3); |
---|
| 708 | s_h3->rank -= k; |
---|
| 709 | rChangeCurrRing(orig_ring); |
---|
[b7cfaf] | 710 | s_h3 = idrMoveR_NoSort(s_h3, syz_ring, orig_ring); |
---|
[5fe834] | 711 | rDelete(syz_ring); |
---|
[0f401f] | 712 | #ifdef HAVE_PLURAL |
---|
[6a4ba5f] | 713 | if (rIsPluralRing(orig_ring)) |
---|
[0f401f] | 714 | { |
---|
[6a4ba5f] | 715 | id_DelMultiples(s_h3,orig_ring); |
---|
[0f401f] | 716 | idSkipZeroes(s_h3); |
---|
| 717 | } |
---|
| 718 | #endif |
---|
| 719 | idTest(s_h3); |
---|
| 720 | return s_h3; |
---|
| 721 | } |
---|
| 722 | |
---|
| 723 | ideal e = idInit(IDELEMS(s_h3), s_h3->rank); |
---|
| 724 | |
---|
| 725 | for (j=IDELEMS(s_h3)-1; j>=0; j--) |
---|
| 726 | { |
---|
| 727 | if (s_h3->m[j] != NULL) |
---|
| 728 | { |
---|
| 729 | if (p_MinComp(s_h3->m[j],syz_ring) <= k) |
---|
| 730 | { |
---|
| 731 | e->m[j] = s_h3->m[j]; |
---|
| 732 | isMonomial=isMonomial && (pNext(s_h3->m[j])==NULL); |
---|
[f9591a] | 733 | p_Delete(&pNext(s_h3->m[j]),syz_ring); |
---|
[0f401f] | 734 | s_h3->m[j] = NULL; |
---|
| 735 | } |
---|
| 736 | } |
---|
| 737 | } |
---|
| 738 | |
---|
| 739 | idSkipZeroes(s_h3); |
---|
| 740 | idSkipZeroes(e); |
---|
| 741 | |
---|
| 742 | if ((deg != NULL) |
---|
| 743 | && (!isMonomial) |
---|
| 744 | && (!TEST_OPT_NOTREGULARITY) |
---|
| 745 | && (setRegularity) |
---|
| 746 | && (h==isHomog) |
---|
| 747 | && (!rIsPluralRing(currRing)) |
---|
| 748 | ) |
---|
| 749 | { |
---|
[1da2a13] | 750 | ring dp_C_ring = rAssure_dp_C(syz_ring); // will do rChangeCurrRing later |
---|
[0f401f] | 751 | if (dp_C_ring != syz_ring) |
---|
[441a2e] | 752 | { |
---|
| 753 | rChangeCurrRing(dp_C_ring); |
---|
[b7cfaf] | 754 | e = idrMoveR_NoSort(e, syz_ring, dp_C_ring); |
---|
[441a2e] | 755 | } |
---|
[0f401f] | 756 | resolvente res = sySchreyerResolvente(e,-1,&length,TRUE, TRUE); |
---|
| 757 | intvec * dummy = syBetti(res,length,®, *w); |
---|
| 758 | *deg = reg+2; |
---|
| 759 | delete dummy; |
---|
| 760 | for (j=0;j<length;j++) |
---|
| 761 | { |
---|
| 762 | if (res[j]!=NULL) idDelete(&(res[j])); |
---|
| 763 | } |
---|
| 764 | omFreeSize((ADDRESS)res,length*sizeof(ideal)); |
---|
| 765 | idDelete(&e); |
---|
| 766 | if (dp_C_ring != syz_ring) |
---|
| 767 | { |
---|
| 768 | rChangeCurrRing(syz_ring); |
---|
[5fe834] | 769 | rDelete(dp_C_ring); |
---|
[0f401f] | 770 | } |
---|
| 771 | } |
---|
| 772 | else |
---|
| 773 | { |
---|
| 774 | idDelete(&e); |
---|
| 775 | } |
---|
| 776 | idTest(s_h3); |
---|
| 777 | if (currQuotient != NULL) |
---|
| 778 | { |
---|
| 779 | ideal ts_h3=kStd(s_h3,currQuotient,h,w); |
---|
| 780 | idDelete(&s_h3); |
---|
| 781 | s_h3 = ts_h3; |
---|
| 782 | } |
---|
| 783 | return s_h3; |
---|
| 784 | } |
---|
| 785 | |
---|
| 786 | /*2 |
---|
| 787 | */ |
---|
| 788 | ideal idXXX (ideal h1, int k) |
---|
| 789 | { |
---|
| 790 | ideal s_h1; |
---|
| 791 | int j; |
---|
| 792 | intvec *w=NULL; |
---|
| 793 | |
---|
| 794 | assume(currRing != NULL); |
---|
| 795 | ring orig_ring=currRing; |
---|
[3f07d1] | 796 | ring syz_ring=rAssure_SyzComp(orig_ring,TRUE); rChangeCurrRing(syz_ring); |
---|
[0f401f] | 797 | |
---|
[b7cfaf] | 798 | rSetSyzComp(k,syz_ring); |
---|
[0f401f] | 799 | |
---|
| 800 | if (orig_ring != syz_ring) |
---|
| 801 | { |
---|
[441a2e] | 802 | s_h1=idrCopyR_NoSort(h1,orig_ring, syz_ring); |
---|
[0f401f] | 803 | } |
---|
| 804 | else |
---|
| 805 | { |
---|
| 806 | s_h1 = h1; |
---|
| 807 | } |
---|
| 808 | |
---|
| 809 | ideal s_h3=kStd(s_h1,NULL,testHomog,&w,NULL,k); |
---|
| 810 | |
---|
| 811 | if (s_h3==NULL) |
---|
| 812 | { |
---|
| 813 | return idFreeModule(IDELEMS(h1)); |
---|
| 814 | } |
---|
| 815 | |
---|
| 816 | if (orig_ring != syz_ring) |
---|
| 817 | { |
---|
| 818 | idDelete(&s_h1); |
---|
| 819 | idSkipZeroes(s_h3); |
---|
| 820 | rChangeCurrRing(orig_ring); |
---|
[b7cfaf] | 821 | s_h3 = idrMoveR_NoSort(s_h3, syz_ring, orig_ring); |
---|
[5fe834] | 822 | rDelete(syz_ring); |
---|
[0f401f] | 823 | idTest(s_h3); |
---|
| 824 | return s_h3; |
---|
| 825 | } |
---|
| 826 | |
---|
| 827 | idSkipZeroes(s_h3); |
---|
| 828 | idTest(s_h3); |
---|
| 829 | return s_h3; |
---|
| 830 | } |
---|
| 831 | |
---|
| 832 | /* |
---|
| 833 | *computes a standard basis for h1 and stores the transformation matrix |
---|
| 834 | * in ma |
---|
| 835 | */ |
---|
| 836 | ideal idLiftStd (ideal h1, matrix* ma, tHomog hi, ideal * syz) |
---|
| 837 | { |
---|
[7b25fe] | 838 | int i, j, k, t, inputIsIdeal=id_RankFreeModule(h1,currRing); |
---|
[0f401f] | 839 | poly p=NULL, q, qq; |
---|
| 840 | intvec *w=NULL; |
---|
| 841 | |
---|
| 842 | idDelete((ideal*)ma); |
---|
| 843 | BOOLEAN lift3=FALSE; |
---|
| 844 | if (syz!=NULL) { lift3=TRUE; idDelete(syz); } |
---|
| 845 | if (idIs0(h1)) |
---|
| 846 | { |
---|
| 847 | *ma=mpNew(1,0); |
---|
| 848 | if (lift3) |
---|
| 849 | { |
---|
| 850 | *syz=idFreeModule(IDELEMS(h1)); |
---|
[861529] | 851 | int curr_syz_limit=rGetCurrSyzLimit(currRing); |
---|
[0f401f] | 852 | if (curr_syz_limit>0) |
---|
| 853 | for (int ii=0;ii<IDELEMS(h1);ii++) |
---|
| 854 | { |
---|
| 855 | if (h1->m[ii]!=NULL) |
---|
[861529] | 856 | p_Shift(&h1->m[ii],curr_syz_limit,currRing); |
---|
[0f401f] | 857 | } |
---|
| 858 | } |
---|
| 859 | return idInit(1,h1->rank); |
---|
| 860 | } |
---|
| 861 | |
---|
| 862 | BITSET save_verbose=verbose; |
---|
| 863 | |
---|
[7b25fe] | 864 | k=si_max(1,(int)id_RankFreeModule(h1,currRing)); |
---|
[0f401f] | 865 | |
---|
| 866 | if ((k==1) && (!lift3)) verbose |=Sy_bit(V_IDLIFT); |
---|
| 867 | |
---|
| 868 | ring orig_ring = currRing; |
---|
[3f07d1] | 869 | ring syz_ring = rAssure_SyzComp(orig_ring,TRUE); rChangeCurrRing(syz_ring); |
---|
[b7cfaf] | 870 | rSetSyzComp(k,syz_ring); |
---|
[0f401f] | 871 | |
---|
| 872 | ideal s_h1=h1; |
---|
| 873 | |
---|
| 874 | if (orig_ring != syz_ring) |
---|
[441a2e] | 875 | s_h1 = idrCopyR_NoSort(h1,orig_ring,syz_ring); |
---|
[0f401f] | 876 | else |
---|
| 877 | s_h1 = h1; |
---|
| 878 | |
---|
| 879 | ideal s_h3=idPrepare(s_h1,hi,k,&w); // main (syz) GB computation |
---|
| 880 | |
---|
| 881 | ideal s_h2 = idInit(IDELEMS(s_h3), s_h3->rank); |
---|
| 882 | |
---|
| 883 | if (lift3) (*syz)=idInit(IDELEMS(s_h3),IDELEMS(h1)); |
---|
| 884 | |
---|
| 885 | if (w!=NULL) delete w; |
---|
| 886 | i = 0; |
---|
| 887 | |
---|
| 888 | // now sort the result, SB : leave in s_h3 |
---|
| 889 | // T: put in s_h2 |
---|
| 890 | // syz: put in *syz |
---|
| 891 | for (j=0; j<IDELEMS(s_h3); j++) |
---|
| 892 | { |
---|
| 893 | if (s_h3->m[j] != NULL) |
---|
| 894 | { |
---|
| 895 | //if (p_MinComp(s_h3->m[j],syz_ring) <= k) |
---|
| 896 | if (pGetComp(s_h3->m[j]) <= k) // syz_ring == currRing |
---|
| 897 | { |
---|
| 898 | i++; |
---|
| 899 | q = s_h3->m[j]; |
---|
| 900 | while (pNext(q) != NULL) |
---|
| 901 | { |
---|
| 902 | if (pGetComp(pNext(q)) > k) |
---|
| 903 | { |
---|
| 904 | s_h2->m[j] = pNext(q); |
---|
| 905 | pNext(q) = NULL; |
---|
| 906 | } |
---|
| 907 | else |
---|
| 908 | { |
---|
| 909 | pIter(q); |
---|
| 910 | } |
---|
| 911 | } |
---|
[861529] | 912 | if (!inputIsIdeal) p_Shift(&(s_h3->m[j]), -1,currRing); |
---|
[0f401f] | 913 | } |
---|
| 914 | else |
---|
| 915 | { |
---|
| 916 | // we a syzygy here: |
---|
| 917 | if (lift3) |
---|
| 918 | { |
---|
[861529] | 919 | p_Shift(&s_h3->m[j], -k,currRing); |
---|
[0f401f] | 920 | (*syz)->m[j]=s_h3->m[j]; |
---|
| 921 | s_h3->m[j]=NULL; |
---|
| 922 | } |
---|
| 923 | else |
---|
[f9591a] | 924 | p_Delete(&(s_h3->m[j]),currRing); |
---|
[0f401f] | 925 | } |
---|
| 926 | } |
---|
| 927 | } |
---|
| 928 | idSkipZeroes(s_h3); |
---|
| 929 | //extern char * iiStringMatrix(matrix im, int dim,char ch); |
---|
| 930 | //PrintS("SB: ----------------------------------------\n"); |
---|
| 931 | //PrintS(iiStringMatrix((matrix)s_h3,k,'\n')); |
---|
| 932 | //PrintLn(); |
---|
| 933 | //PrintS("T: ----------------------------------------\n"); |
---|
| 934 | //PrintS(iiStringMatrix((matrix)s_h2,h1->rank,'\n')); |
---|
| 935 | //PrintLn(); |
---|
| 936 | |
---|
| 937 | if (lift3) idSkipZeroes(*syz); |
---|
| 938 | |
---|
| 939 | j = IDELEMS(s_h1); |
---|
| 940 | |
---|
| 941 | |
---|
| 942 | if (syz_ring!=orig_ring) |
---|
| 943 | { |
---|
| 944 | idDelete(&s_h1); |
---|
| 945 | rChangeCurrRing(orig_ring); |
---|
| 946 | } |
---|
| 947 | |
---|
| 948 | *ma = mpNew(j,i); |
---|
| 949 | |
---|
| 950 | i = 1; |
---|
| 951 | for (j=0; j<IDELEMS(s_h2); j++) |
---|
| 952 | { |
---|
| 953 | if (s_h2->m[j] != NULL) |
---|
| 954 | { |
---|
[b7cfaf] | 955 | q = prMoveR( s_h2->m[j], syz_ring,orig_ring); |
---|
[0f401f] | 956 | s_h2->m[j] = NULL; |
---|
| 957 | |
---|
| 958 | while (q != NULL) |
---|
| 959 | { |
---|
| 960 | p = q; |
---|
| 961 | pIter(q); |
---|
| 962 | pNext(p) = NULL; |
---|
| 963 | t=pGetComp(p); |
---|
| 964 | pSetComp(p,0); |
---|
| 965 | pSetmComp(p); |
---|
| 966 | MATELEM(*ma,t-k,i) = pAdd(MATELEM(*ma,t-k,i),p); |
---|
| 967 | } |
---|
| 968 | i++; |
---|
| 969 | } |
---|
| 970 | } |
---|
| 971 | idDelete(&s_h2); |
---|
| 972 | |
---|
| 973 | for (i=0; i<IDELEMS(s_h3); i++) |
---|
| 974 | { |
---|
[b7cfaf] | 975 | s_h3->m[i] = prMoveR_NoSort(s_h3->m[i], syz_ring,orig_ring); |
---|
[0f401f] | 976 | } |
---|
| 977 | if (lift3) |
---|
| 978 | { |
---|
| 979 | for (i=0; i<IDELEMS(*syz); i++) |
---|
| 980 | { |
---|
[b7cfaf] | 981 | (*syz)->m[i] = prMoveR_NoSort((*syz)->m[i], syz_ring,orig_ring); |
---|
[0f401f] | 982 | } |
---|
| 983 | } |
---|
| 984 | |
---|
[5fe834] | 985 | if (syz_ring!=orig_ring) rDelete(syz_ring); |
---|
[0f401f] | 986 | verbose = save_verbose; |
---|
| 987 | return s_h3; |
---|
| 988 | } |
---|
| 989 | |
---|
| 990 | static void idPrepareStd(ideal s_temp, int k) |
---|
| 991 | { |
---|
[7b25fe] | 992 | int j,rk=id_RankFreeModule(s_temp,currRing); |
---|
[0f401f] | 993 | poly p,q; |
---|
| 994 | |
---|
| 995 | if (rk == 0) |
---|
| 996 | { |
---|
| 997 | for (j=0; j<IDELEMS(s_temp); j++) |
---|
| 998 | { |
---|
| 999 | if (s_temp->m[j]!=NULL) pSetCompP(s_temp->m[j],1); |
---|
| 1000 | } |
---|
| 1001 | k = si_max(k,1); |
---|
| 1002 | } |
---|
| 1003 | for (j=0; j<IDELEMS(s_temp); j++) |
---|
| 1004 | { |
---|
| 1005 | if (s_temp->m[j]!=NULL) |
---|
| 1006 | { |
---|
| 1007 | p = s_temp->m[j]; |
---|
| 1008 | q = pOne(); |
---|
| 1009 | //pGetCoeff(q)=nNeg(pGetCoeff(q)); //set q to -1 |
---|
| 1010 | pSetComp(q,k+1+j); |
---|
| 1011 | pSetmComp(q); |
---|
| 1012 | while (pNext(p)) pIter(p); |
---|
| 1013 | pNext(p) = q; |
---|
| 1014 | } |
---|
| 1015 | } |
---|
| 1016 | } |
---|
| 1017 | |
---|
| 1018 | /*2 |
---|
| 1019 | *computes a representation of the generators of submod with respect to those |
---|
| 1020 | * of mod |
---|
| 1021 | */ |
---|
| 1022 | |
---|
| 1023 | ideal idLift(ideal mod, ideal submod,ideal *rest, BOOLEAN goodShape, |
---|
| 1024 | BOOLEAN isSB, BOOLEAN divide, matrix *unit) |
---|
| 1025 | { |
---|
[7b25fe] | 1026 | int lsmod =id_RankFreeModule(submod,currRing), i, j, k; |
---|
[0f401f] | 1027 | int comps_to_add=0; |
---|
| 1028 | poly p; |
---|
| 1029 | |
---|
| 1030 | if (idIs0(submod)) |
---|
| 1031 | { |
---|
| 1032 | if (unit!=NULL) |
---|
| 1033 | { |
---|
| 1034 | *unit=mpNew(1,1); |
---|
| 1035 | MATELEM(*unit,1,1)=pOne(); |
---|
| 1036 | } |
---|
| 1037 | if (rest!=NULL) |
---|
| 1038 | { |
---|
| 1039 | *rest=idInit(1,mod->rank); |
---|
| 1040 | } |
---|
| 1041 | return idInit(1,mod->rank); |
---|
| 1042 | } |
---|
| 1043 | if (idIs0(mod)) /* and not idIs0(submod) */ |
---|
| 1044 | { |
---|
| 1045 | WerrorS("2nd module does not lie in the first"); |
---|
[a5d181c] | 1046 | return NULL; |
---|
[0f401f] | 1047 | } |
---|
| 1048 | if (unit!=NULL) |
---|
| 1049 | { |
---|
| 1050 | comps_to_add = IDELEMS(submod); |
---|
| 1051 | while ((comps_to_add>0) && (submod->m[comps_to_add-1]==NULL)) |
---|
| 1052 | comps_to_add--; |
---|
| 1053 | } |
---|
[7b25fe] | 1054 | k=si_max(id_RankFreeModule(mod,currRing),id_RankFreeModule(submod,currRing)); |
---|
[0f401f] | 1055 | if ((k!=0) && (lsmod==0)) lsmod=1; |
---|
| 1056 | k=si_max(k,(int)mod->rank); |
---|
| 1057 | if (k<submod->rank) { WarnS("rk(submod) > rk(mod) ?");k=submod->rank; } |
---|
| 1058 | |
---|
| 1059 | ring orig_ring=currRing; |
---|
[3f07d1] | 1060 | ring syz_ring=rAssure_SyzComp(orig_ring,TRUE); rChangeCurrRing(syz_ring); |
---|
[b7cfaf] | 1061 | rSetSyzComp(k,syz_ring); |
---|
[0f401f] | 1062 | |
---|
| 1063 | ideal s_mod, s_temp; |
---|
| 1064 | if (orig_ring != syz_ring) |
---|
| 1065 | { |
---|
[441a2e] | 1066 | s_mod = idrCopyR_NoSort(mod,orig_ring,syz_ring); |
---|
| 1067 | s_temp = idrCopyR_NoSort(submod,orig_ring,syz_ring); |
---|
[0f401f] | 1068 | } |
---|
| 1069 | else |
---|
| 1070 | { |
---|
| 1071 | s_mod = mod; |
---|
| 1072 | s_temp = idCopy(submod); |
---|
| 1073 | } |
---|
| 1074 | ideal s_h3; |
---|
| 1075 | if (isSB) |
---|
| 1076 | { |
---|
| 1077 | s_h3 = idCopy(s_mod); |
---|
| 1078 | idPrepareStd(s_h3, k+comps_to_add); |
---|
| 1079 | } |
---|
| 1080 | else |
---|
| 1081 | { |
---|
| 1082 | s_h3 = idPrepare(s_mod,(tHomog)FALSE,k+comps_to_add,NULL); |
---|
| 1083 | } |
---|
| 1084 | if (!goodShape) |
---|
| 1085 | { |
---|
| 1086 | for (j=0;j<IDELEMS(s_h3);j++) |
---|
| 1087 | { |
---|
| 1088 | if ((s_h3->m[j] != NULL) && (pMinComp(s_h3->m[j]) > k)) |
---|
[f9591a] | 1089 | p_Delete(&(s_h3->m[j]),currRing); |
---|
[0f401f] | 1090 | } |
---|
| 1091 | } |
---|
| 1092 | idSkipZeroes(s_h3); |
---|
| 1093 | if (lsmod==0) |
---|
| 1094 | { |
---|
| 1095 | for (j=IDELEMS(s_temp);j>0;j--) |
---|
| 1096 | { |
---|
| 1097 | if (s_temp->m[j-1]!=NULL) |
---|
[861529] | 1098 | p_Shift(&(s_temp->m[j-1]),1,currRing); |
---|
[0f401f] | 1099 | } |
---|
| 1100 | } |
---|
| 1101 | if (unit!=NULL) |
---|
| 1102 | { |
---|
| 1103 | for(j = 0;j<comps_to_add;j++) |
---|
| 1104 | { |
---|
| 1105 | p = s_temp->m[j]; |
---|
| 1106 | if (p!=NULL) |
---|
| 1107 | { |
---|
| 1108 | while (pNext(p)!=NULL) pIter(p); |
---|
| 1109 | pNext(p) = pOne(); |
---|
| 1110 | pIter(p); |
---|
| 1111 | pSetComp(p,1+j+k); |
---|
| 1112 | pSetmComp(p); |
---|
| 1113 | p = pNeg(p); |
---|
| 1114 | } |
---|
| 1115 | } |
---|
| 1116 | } |
---|
| 1117 | ideal s_result = kNF(s_h3,currQuotient,s_temp,k); |
---|
| 1118 | s_result->rank = s_h3->rank; |
---|
| 1119 | ideal s_rest = idInit(IDELEMS(s_result),k); |
---|
| 1120 | idDelete(&s_h3); |
---|
| 1121 | idDelete(&s_temp); |
---|
| 1122 | |
---|
| 1123 | for (j=0;j<IDELEMS(s_result);j++) |
---|
| 1124 | { |
---|
| 1125 | if (s_result->m[j]!=NULL) |
---|
| 1126 | { |
---|
| 1127 | if (pGetComp(s_result->m[j])<=k) |
---|
| 1128 | { |
---|
| 1129 | if (!divide) |
---|
| 1130 | { |
---|
| 1131 | if (isSB) |
---|
| 1132 | { |
---|
| 1133 | WarnS("first module not a standardbasis\n" |
---|
| 1134 | "// ** or second not a proper submodule"); |
---|
| 1135 | } |
---|
| 1136 | else |
---|
| 1137 | WerrorS("2nd module does not lie in the first"); |
---|
| 1138 | idDelete(&s_result); |
---|
| 1139 | idDelete(&s_rest); |
---|
| 1140 | s_result=idInit(IDELEMS(submod),submod->rank); |
---|
| 1141 | break; |
---|
| 1142 | } |
---|
| 1143 | else |
---|
| 1144 | { |
---|
| 1145 | p = s_rest->m[j] = s_result->m[j]; |
---|
| 1146 | while ((pNext(p)!=NULL) && (pGetComp(pNext(p))<=k)) pIter(p); |
---|
| 1147 | s_result->m[j] = pNext(p); |
---|
| 1148 | pNext(p) = NULL; |
---|
| 1149 | } |
---|
| 1150 | } |
---|
[861529] | 1151 | p_Shift(&(s_result->m[j]),-k,currRing); |
---|
[0f401f] | 1152 | pNeg(s_result->m[j]); |
---|
| 1153 | } |
---|
| 1154 | } |
---|
| 1155 | if ((lsmod==0) && (!idIs0(s_rest))) |
---|
| 1156 | { |
---|
| 1157 | for (j=IDELEMS(s_rest);j>0;j--) |
---|
| 1158 | { |
---|
| 1159 | if (s_rest->m[j-1]!=NULL) |
---|
| 1160 | { |
---|
[861529] | 1161 | p_Shift(&(s_rest->m[j-1]),-1,currRing); |
---|
[0f401f] | 1162 | s_rest->m[j-1] = s_rest->m[j-1]; |
---|
| 1163 | } |
---|
| 1164 | } |
---|
| 1165 | } |
---|
| 1166 | if(syz_ring!=orig_ring) |
---|
| 1167 | { |
---|
| 1168 | idDelete(&s_mod); |
---|
| 1169 | rChangeCurrRing(orig_ring); |
---|
[b7cfaf] | 1170 | s_result = idrMoveR_NoSort(s_result, syz_ring, orig_ring); |
---|
| 1171 | s_rest = idrMoveR_NoSort(s_rest, syz_ring, orig_ring); |
---|
[5fe834] | 1172 | rDelete(syz_ring); |
---|
[0f401f] | 1173 | } |
---|
| 1174 | if (rest!=NULL) |
---|
| 1175 | *rest = s_rest; |
---|
| 1176 | else |
---|
| 1177 | idDelete(&s_rest); |
---|
| 1178 | //idPrint(s_result); |
---|
| 1179 | if (unit!=NULL) |
---|
| 1180 | { |
---|
| 1181 | *unit=mpNew(comps_to_add,comps_to_add); |
---|
| 1182 | int i; |
---|
| 1183 | for(i=0;i<IDELEMS(s_result);i++) |
---|
| 1184 | { |
---|
| 1185 | poly p=s_result->m[i]; |
---|
| 1186 | poly q=NULL; |
---|
| 1187 | while(p!=NULL) |
---|
| 1188 | { |
---|
| 1189 | if(pGetComp(p)<=comps_to_add) |
---|
| 1190 | { |
---|
| 1191 | pSetComp(p,0); |
---|
| 1192 | if (q!=NULL) |
---|
| 1193 | { |
---|
| 1194 | pNext(q)=pNext(p); |
---|
| 1195 | } |
---|
| 1196 | else |
---|
| 1197 | { |
---|
| 1198 | pIter(s_result->m[i]); |
---|
| 1199 | } |
---|
| 1200 | pNext(p)=NULL; |
---|
| 1201 | MATELEM(*unit,i+1,i+1)=pAdd(MATELEM(*unit,i+1,i+1),p); |
---|
| 1202 | if(q!=NULL) p=pNext(q); |
---|
| 1203 | else p=s_result->m[i]; |
---|
| 1204 | } |
---|
| 1205 | else |
---|
| 1206 | { |
---|
| 1207 | q=p; |
---|
| 1208 | pIter(p); |
---|
| 1209 | } |
---|
| 1210 | } |
---|
[861529] | 1211 | p_Shift(&s_result->m[i],-comps_to_add,currRing); |
---|
[0f401f] | 1212 | } |
---|
| 1213 | } |
---|
| 1214 | return s_result; |
---|
| 1215 | } |
---|
| 1216 | |
---|
| 1217 | /*2 |
---|
| 1218 | *computes division of P by Q with remainder up to (w-weighted) degree n |
---|
| 1219 | *P, Q, and w are not changed |
---|
| 1220 | */ |
---|
| 1221 | void idLiftW(ideal P,ideal Q,int n,matrix &T, ideal &R,short *w) |
---|
| 1222 | { |
---|
| 1223 | long N=0; |
---|
| 1224 | int i; |
---|
| 1225 | for(i=IDELEMS(Q)-1;i>=0;i--) |
---|
| 1226 | if(w==NULL) |
---|
[31f1850] | 1227 | N=si_max(N,p_Deg(Q->m[i],currRing)); |
---|
[0f401f] | 1228 | else |
---|
| 1229 | N=si_max(N,pDegW(Q->m[i],w)); |
---|
| 1230 | N+=n; |
---|
| 1231 | |
---|
| 1232 | T=mpNew(IDELEMS(Q),IDELEMS(P)); |
---|
| 1233 | R=idInit(IDELEMS(P),P->rank); |
---|
| 1234 | |
---|
| 1235 | for(i=IDELEMS(P)-1;i>=0;i--) |
---|
| 1236 | { |
---|
| 1237 | poly p; |
---|
| 1238 | if(w==NULL) |
---|
| 1239 | p=ppJet(P->m[i],N); |
---|
| 1240 | else |
---|
| 1241 | p=ppJetW(P->m[i],N,w); |
---|
| 1242 | |
---|
| 1243 | int j=IDELEMS(Q)-1; |
---|
| 1244 | while(p!=NULL) |
---|
| 1245 | { |
---|
| 1246 | if(pDivisibleBy(Q->m[j],p)) |
---|
| 1247 | { |
---|
[441a2e] | 1248 | poly p0=p_DivideM(pHead(p),pHead(Q->m[j]),currRing); |
---|
[0f401f] | 1249 | if(w==NULL) |
---|
| 1250 | p=pJet(pSub(p,ppMult_mm(Q->m[j],p0)),N); |
---|
| 1251 | else |
---|
| 1252 | p=pJetW(pSub(p,ppMult_mm(Q->m[j],p0)),N,w); |
---|
| 1253 | pNormalize(p); |
---|
[31f1850] | 1254 | if((w==NULL)&&(p_Deg(p0,currRing)>n)||(w!=NULL)&&(pDegW(p0,w)>n)) |
---|
[f9591a] | 1255 | p_Delete(&p0,currRing); |
---|
[0f401f] | 1256 | else |
---|
| 1257 | MATELEM(T,j+1,i+1)=pAdd(MATELEM(T,j+1,i+1),p0); |
---|
| 1258 | j=IDELEMS(Q)-1; |
---|
| 1259 | } |
---|
| 1260 | else |
---|
| 1261 | { |
---|
| 1262 | if(j==0) |
---|
| 1263 | { |
---|
| 1264 | poly p0=p; |
---|
| 1265 | pIter(p); |
---|
| 1266 | pNext(p0)=NULL; |
---|
[31f1850] | 1267 | if(((w==NULL)&&(p_Deg(p0,currRing)>n)) |
---|
[0f401f] | 1268 | ||((w!=NULL)&&(pDegW(p0,w)>n))) |
---|
[f9591a] | 1269 | p_Delete(&p0,currRing); |
---|
[0f401f] | 1270 | else |
---|
| 1271 | R->m[i]=pAdd(R->m[i],p0); |
---|
| 1272 | j=IDELEMS(Q)-1; |
---|
| 1273 | } |
---|
| 1274 | else |
---|
| 1275 | j--; |
---|
| 1276 | } |
---|
| 1277 | } |
---|
| 1278 | } |
---|
| 1279 | } |
---|
| 1280 | |
---|
| 1281 | /*2 |
---|
| 1282 | *computes the quotient of h1,h2 : internal routine for idQuot |
---|
| 1283 | *BEWARE: the returned ideals may contain incorrectly ordered polys ! |
---|
| 1284 | * |
---|
| 1285 | */ |
---|
| 1286 | static ideal idInitializeQuot (ideal h1, ideal h2, BOOLEAN h1IsStb, |
---|
| 1287 | BOOLEAN *addOnlyOne, int *kkmax) |
---|
| 1288 | { |
---|
| 1289 | ideal temph1; |
---|
| 1290 | poly p,q = NULL; |
---|
| 1291 | int i,l,ll,k,kkk,kmax; |
---|
| 1292 | int j = 0; |
---|
[7b25fe] | 1293 | int k1 = id_RankFreeModule(h1,currRing); |
---|
| 1294 | int k2 = id_RankFreeModule(h2,currRing); |
---|
[0f401f] | 1295 | tHomog hom=isNotHomog; |
---|
| 1296 | |
---|
| 1297 | k=si_max(k1,k2); |
---|
| 1298 | if (k==0) |
---|
| 1299 | k = 1; |
---|
| 1300 | if ((k2==0) && (k>1)) *addOnlyOne = FALSE; |
---|
| 1301 | |
---|
| 1302 | intvec * weights; |
---|
| 1303 | hom = (tHomog)idHomModule(h1,currQuotient,&weights); |
---|
| 1304 | if (/**addOnlyOne &&*/ (!h1IsStb)) |
---|
| 1305 | temph1 = kStd(h1,currQuotient,hom,&weights,NULL); |
---|
| 1306 | else |
---|
| 1307 | temph1 = idCopy(h1); |
---|
| 1308 | if (weights!=NULL) delete weights; |
---|
| 1309 | idTest(temph1); |
---|
| 1310 | /*--- making a single vector from h2 ---------------------*/ |
---|
| 1311 | for (i=0; i<IDELEMS(h2); i++) |
---|
| 1312 | { |
---|
| 1313 | if (h2->m[i] != NULL) |
---|
| 1314 | { |
---|
| 1315 | p = pCopy(h2->m[i]); |
---|
| 1316 | if (k2 == 0) |
---|
[861529] | 1317 | p_Shift(&p,j*k+1,currRing); |
---|
[0f401f] | 1318 | else |
---|
[861529] | 1319 | p_Shift(&p,j*k,currRing); |
---|
[0f401f] | 1320 | q = pAdd(q,p); |
---|
| 1321 | j++; |
---|
| 1322 | } |
---|
| 1323 | } |
---|
| 1324 | *kkmax = kmax = j*k+1; |
---|
| 1325 | /*--- adding a monomial for the result (syzygy) ----------*/ |
---|
| 1326 | p = q; |
---|
| 1327 | while (pNext(p)!=NULL) pIter(p); |
---|
| 1328 | pNext(p) = pOne(); |
---|
| 1329 | pIter(p); |
---|
| 1330 | pSetComp(p,kmax); |
---|
| 1331 | pSetmComp(p); |
---|
| 1332 | /*--- constructing the big matrix ------------------------*/ |
---|
| 1333 | ideal h4 = idInit(16,kmax+k-1); |
---|
| 1334 | h4->m[0] = q; |
---|
| 1335 | if (k2 == 0) |
---|
| 1336 | { |
---|
| 1337 | if (k > IDELEMS(h4)) |
---|
| 1338 | { |
---|
| 1339 | pEnlargeSet(&(h4->m),IDELEMS(h4),k-IDELEMS(h4)); |
---|
| 1340 | IDELEMS(h4) = k; |
---|
| 1341 | } |
---|
| 1342 | for (i=1; i<k; i++) |
---|
| 1343 | { |
---|
| 1344 | if (h4->m[i-1]!=NULL) |
---|
| 1345 | { |
---|
| 1346 | p = pCopy_noCheck(h4->m[i-1]); |
---|
[861529] | 1347 | p_Shift(&p,1,currRing); |
---|
[0f401f] | 1348 | h4->m[i] = p; |
---|
| 1349 | } |
---|
| 1350 | } |
---|
| 1351 | } |
---|
| 1352 | idSkipZeroes(h4); |
---|
| 1353 | kkk = IDELEMS(h4); |
---|
| 1354 | i = IDELEMS(temph1); |
---|
| 1355 | for (l=0; l<i; l++) |
---|
| 1356 | { |
---|
| 1357 | if(temph1->m[l]!=NULL) |
---|
| 1358 | { |
---|
| 1359 | for (ll=0; ll<j; ll++) |
---|
| 1360 | { |
---|
| 1361 | p = pCopy(temph1->m[l]); |
---|
| 1362 | if (k1 == 0) |
---|
[861529] | 1363 | p_Shift(&p,ll*k+1,currRing); |
---|
[0f401f] | 1364 | else |
---|
[861529] | 1365 | p_Shift(&p,ll*k,currRing); |
---|
[0f401f] | 1366 | if (kkk >= IDELEMS(h4)) |
---|
| 1367 | { |
---|
| 1368 | pEnlargeSet(&(h4->m),IDELEMS(h4),16); |
---|
| 1369 | IDELEMS(h4) += 16; |
---|
| 1370 | } |
---|
| 1371 | h4->m[kkk] = p; |
---|
| 1372 | kkk++; |
---|
| 1373 | } |
---|
| 1374 | } |
---|
| 1375 | } |
---|
| 1376 | /*--- if h2 goes in as single vector - the h1-part is just SB ---*/ |
---|
| 1377 | if (*addOnlyOne) |
---|
| 1378 | { |
---|
| 1379 | idSkipZeroes(h4); |
---|
| 1380 | p = h4->m[0]; |
---|
| 1381 | for (i=0;i<IDELEMS(h4)-1;i++) |
---|
| 1382 | { |
---|
| 1383 | h4->m[i] = h4->m[i+1]; |
---|
| 1384 | } |
---|
| 1385 | h4->m[IDELEMS(h4)-1] = p; |
---|
| 1386 | test |= Sy_bit(OPT_SB_1); |
---|
| 1387 | } |
---|
| 1388 | idDelete(&temph1); |
---|
| 1389 | return h4; |
---|
| 1390 | } |
---|
| 1391 | /*2 |
---|
| 1392 | *computes the quotient of h1,h2 |
---|
| 1393 | */ |
---|
| 1394 | ideal idQuot (ideal h1, ideal h2, BOOLEAN h1IsStb, BOOLEAN resultIsIdeal) |
---|
| 1395 | { |
---|
| 1396 | // first check for special case h1:(0) |
---|
| 1397 | if (idIs0(h2)) |
---|
| 1398 | { |
---|
| 1399 | ideal res; |
---|
| 1400 | if (resultIsIdeal) |
---|
| 1401 | { |
---|
| 1402 | res = idInit(1,1); |
---|
| 1403 | res->m[0] = pOne(); |
---|
| 1404 | } |
---|
| 1405 | else |
---|
| 1406 | res = idFreeModule(h1->rank); |
---|
| 1407 | return res; |
---|
| 1408 | } |
---|
| 1409 | BITSET old_test=test; |
---|
| 1410 | int i,l,ll,k,kkk,kmax; |
---|
| 1411 | BOOLEAN addOnlyOne=TRUE; |
---|
| 1412 | tHomog hom=isNotHomog; |
---|
| 1413 | intvec * weights1; |
---|
| 1414 | |
---|
| 1415 | ideal s_h4 = idInitializeQuot (h1,h2,h1IsStb,&addOnlyOne,&kmax); |
---|
| 1416 | |
---|
| 1417 | hom = (tHomog)idHomModule(s_h4,currQuotient,&weights1); |
---|
| 1418 | |
---|
| 1419 | ring orig_ring=currRing; |
---|
[3f07d1] | 1420 | ring syz_ring=rAssure_SyzComp(orig_ring,TRUE); rChangeCurrRing(syz_ring); |
---|
[b7cfaf] | 1421 | rSetSyzComp(kmax-1,syz_ring); |
---|
[0f401f] | 1422 | if (orig_ring!=syz_ring) |
---|
[b7cfaf] | 1423 | // s_h4 = idrMoveR_NoSort(s_h4,orig_ring, syz_ring); |
---|
| 1424 | s_h4 = idrMoveR(s_h4,orig_ring, syz_ring); |
---|
[0f401f] | 1425 | idTest(s_h4); |
---|
| 1426 | #if 0 |
---|
| 1427 | void ipPrint_MA0(matrix m, const char *name); |
---|
| 1428 | matrix m=idModule2Matrix(idCopy(s_h4)); |
---|
| 1429 | PrintS("start:\n"); |
---|
| 1430 | ipPrint_MA0(m,"Q"); |
---|
| 1431 | idDelete((ideal *)&m); |
---|
| 1432 | PrintS("last elem:");wrp(s_h4->m[IDELEMS(s_h4)-1]);PrintLn(); |
---|
| 1433 | #endif |
---|
| 1434 | ideal s_h3; |
---|
| 1435 | if (addOnlyOne) |
---|
| 1436 | { |
---|
| 1437 | s_h3 = kStd(s_h4,currQuotient,hom,&weights1,NULL,0/*kmax-1*/,IDELEMS(s_h4)-1); |
---|
| 1438 | } |
---|
| 1439 | else |
---|
| 1440 | { |
---|
| 1441 | s_h3 = kStd(s_h4,currQuotient,hom,&weights1,NULL,kmax-1); |
---|
| 1442 | } |
---|
| 1443 | test = old_test; |
---|
| 1444 | #if 0 |
---|
| 1445 | // only together with the above debug stuff |
---|
| 1446 | idSkipZeroes(s_h3); |
---|
| 1447 | m=idModule2Matrix(idCopy(s_h3)); |
---|
| 1448 | Print("result, kmax=%d:\n",kmax); |
---|
| 1449 | ipPrint_MA0(m,"S"); |
---|
| 1450 | idDelete((ideal *)&m); |
---|
| 1451 | #endif |
---|
| 1452 | idTest(s_h3); |
---|
| 1453 | if (weights1!=NULL) delete weights1; |
---|
| 1454 | idDelete(&s_h4); |
---|
| 1455 | |
---|
| 1456 | for (i=0;i<IDELEMS(s_h3);i++) |
---|
| 1457 | { |
---|
| 1458 | if ((s_h3->m[i]!=NULL) && (pGetComp(s_h3->m[i])>=kmax)) |
---|
| 1459 | { |
---|
| 1460 | if (resultIsIdeal) |
---|
[861529] | 1461 | p_Shift(&s_h3->m[i],-kmax,currRing); |
---|
[0f401f] | 1462 | else |
---|
[861529] | 1463 | p_Shift(&s_h3->m[i],-kmax+1,currRing); |
---|
[0f401f] | 1464 | } |
---|
| 1465 | else |
---|
[f9591a] | 1466 | p_Delete(&s_h3->m[i],currRing); |
---|
[0f401f] | 1467 | } |
---|
| 1468 | if (resultIsIdeal) |
---|
| 1469 | s_h3->rank = 1; |
---|
| 1470 | else |
---|
| 1471 | s_h3->rank = h1->rank; |
---|
| 1472 | if(syz_ring!=orig_ring) |
---|
| 1473 | { |
---|
| 1474 | rChangeCurrRing(orig_ring); |
---|
[b7cfaf] | 1475 | s_h3 = idrMoveR_NoSort(s_h3, syz_ring, orig_ring); |
---|
[5fe834] | 1476 | rDelete(syz_ring); |
---|
[0f401f] | 1477 | } |
---|
| 1478 | idSkipZeroes(s_h3); |
---|
| 1479 | idTest(s_h3); |
---|
| 1480 | return s_h3; |
---|
| 1481 | } |
---|
| 1482 | |
---|
| 1483 | /*2 |
---|
| 1484 | * eliminate delVar (product of vars) in h1 |
---|
| 1485 | */ |
---|
| 1486 | ideal idElimination (ideal h1,poly delVar,intvec *hilb) |
---|
| 1487 | { |
---|
| 1488 | int i,j=0,k,l; |
---|
| 1489 | ideal h,hh, h3; |
---|
| 1490 | int *ord,*block0,*block1; |
---|
| 1491 | int ordersize=2; |
---|
| 1492 | int **wv; |
---|
| 1493 | tHomog hom; |
---|
| 1494 | intvec * w; |
---|
| 1495 | ring tmpR; |
---|
| 1496 | ring origR = currRing; |
---|
| 1497 | |
---|
| 1498 | if (delVar==NULL) |
---|
| 1499 | { |
---|
| 1500 | return idCopy(h1); |
---|
| 1501 | } |
---|
| 1502 | if ((currQuotient!=NULL) && rIsPluralRing(origR)) |
---|
| 1503 | { |
---|
| 1504 | WerrorS("cannot eliminate in a qring"); |
---|
[a5d181c] | 1505 | return NULL; |
---|
[0f401f] | 1506 | } |
---|
| 1507 | if (idIs0(h1)) return idInit(1,h1->rank); |
---|
| 1508 | #ifdef HAVE_PLURAL |
---|
| 1509 | if (rIsPluralRing(origR)) |
---|
| 1510 | /* in the NC case, we have to check the admissibility of */ |
---|
| 1511 | /* the subalgebra to be intersected with */ |
---|
| 1512 | { |
---|
| 1513 | if ((ncRingType(origR) != nc_skew) && (ncRingType(origR) != nc_exterior)) /* in (quasi)-commutative algebras every subalgebra is admissible */ |
---|
| 1514 | { |
---|
| 1515 | if (nc_CheckSubalgebra(delVar,origR)) |
---|
| 1516 | { |
---|
| 1517 | WerrorS("no elimination is possible: subalgebra is not admissible"); |
---|
[a5d181c] | 1518 | return NULL; |
---|
[0f401f] | 1519 | } |
---|
| 1520 | } |
---|
| 1521 | } |
---|
| 1522 | #endif |
---|
| 1523 | hom=(tHomog)idHomModule(h1,NULL,&w); //sets w to weight vector or NULL |
---|
| 1524 | h3=idInit(16,h1->rank); |
---|
| 1525 | for (k=0;; k++) |
---|
| 1526 | { |
---|
| 1527 | if (origR->order[k]!=0) ordersize++; |
---|
| 1528 | else break; |
---|
| 1529 | } |
---|
| 1530 | #if 0 |
---|
| 1531 | if (rIsPluralRing(origR)) // we have too keep the odering: it may be needed |
---|
| 1532 | // for G-algebra |
---|
| 1533 | { |
---|
| 1534 | for (k=0;k<ordersize-1; k++) |
---|
| 1535 | { |
---|
| 1536 | block0[k+1] = origR->block0[k]; |
---|
| 1537 | block1[k+1] = origR->block1[k]; |
---|
| 1538 | ord[k+1] = origR->order[k]; |
---|
| 1539 | if (origR->wvhdl[k]!=NULL) wv[k+1] = (int*) omMemDup(origR->wvhdl[k]); |
---|
| 1540 | } |
---|
| 1541 | } |
---|
| 1542 | else |
---|
| 1543 | { |
---|
| 1544 | block0[1] = 1; |
---|
[1f637e] | 1545 | block1[1] = (currRing->N); |
---|
[0f401f] | 1546 | if (origR->OrdSgn==1) ord[1] = ringorder_wp; |
---|
| 1547 | else ord[1] = ringorder_ws; |
---|
[1f637e] | 1548 | wv[1]=(int*)omAlloc0((currRing->N)*sizeof(int)); |
---|
| 1549 | double wNsqr = (double)2.0 / (double)(currRing->N); |
---|
[0f401f] | 1550 | wFunctional = wFunctionalBuch; |
---|
[1f637e] | 1551 | int *x= (int * )omAlloc(2 * ((currRing->N) + 1) * sizeof(int)); |
---|
[0f401f] | 1552 | int sl=IDELEMS(h1) - 1; |
---|
| 1553 | wCall(h1->m, sl, x, wNsqr); |
---|
[1f637e] | 1554 | for (sl = (currRing->N); sl!=0; sl--) |
---|
| 1555 | wv[1][sl-1] = x[sl + (currRing->N) + 1]; |
---|
| 1556 | omFreeSize((ADDRESS)x, 2 * ((currRing->N) + 1) * sizeof(int)); |
---|
[0f401f] | 1557 | |
---|
| 1558 | ord[2]=ringorder_C; |
---|
| 1559 | ord[3]=0; |
---|
| 1560 | } |
---|
| 1561 | #else |
---|
| 1562 | #endif |
---|
| 1563 | if ((hom==TRUE) && (origR->OrdSgn==1) && (!rIsPluralRing(origR))) |
---|
| 1564 | { |
---|
| 1565 | #if 1 |
---|
| 1566 | // we change to an ordering: |
---|
| 1567 | // aa(1,1,1,...,0,0,0),wp(...),C |
---|
| 1568 | // this seems to be better than version 2 below, |
---|
| 1569 | // according to Tst/../elimiate_[3568].tat (- 17 %) |
---|
| 1570 | ord=(int*)omAlloc0(4*sizeof(int)); |
---|
| 1571 | block0=(int*)omAlloc0(4*sizeof(int)); |
---|
| 1572 | block1=(int*)omAlloc0(4*sizeof(int)); |
---|
| 1573 | wv=(int**) omAlloc0(4*sizeof(int**)); |
---|
| 1574 | block0[0] = block0[1] = 1; |
---|
| 1575 | block1[0] = block1[1] = rVar(origR); |
---|
| 1576 | wv[0]=(int*)omAlloc0((rVar(origR) + 1)*sizeof(int)); |
---|
| 1577 | // use this special ordering: like ringorder_a, except that pFDeg, pWeights |
---|
| 1578 | // ignore it |
---|
| 1579 | ord[0] = ringorder_aa; |
---|
| 1580 | for (j=0;j<rVar(origR);j++) |
---|
| 1581 | if (pGetExp(delVar,j+1)!=0) wv[0][j]=1; |
---|
| 1582 | BOOLEAN wp=FALSE; |
---|
| 1583 | for (j=0;j<rVar(origR);j++) |
---|
| 1584 | if (pWeight(j+1,origR)!=1) { wp=TRUE;break; } |
---|
| 1585 | if (wp) |
---|
| 1586 | { |
---|
| 1587 | wv[1]=(int*)omAlloc0((rVar(origR) + 1)*sizeof(int)); |
---|
| 1588 | for (j=0;j<rVar(origR);j++) |
---|
| 1589 | wv[1][j]=pWeight(j+1,origR); |
---|
| 1590 | ord[1] = ringorder_wp; |
---|
| 1591 | } |
---|
| 1592 | else |
---|
| 1593 | ord[1] = ringorder_dp; |
---|
| 1594 | #else |
---|
| 1595 | // we change to an ordering: |
---|
| 1596 | // a(w1,...wn),wp(1,...0.....),C |
---|
| 1597 | ord=(int*)omAlloc0(4*sizeof(int)); |
---|
| 1598 | block0=(int*)omAlloc0(4*sizeof(int)); |
---|
| 1599 | block1=(int*)omAlloc0(4*sizeof(int)); |
---|
| 1600 | wv=(int**) omAlloc0(4*sizeof(int**)); |
---|
| 1601 | block0[0] = block0[1] = 1; |
---|
| 1602 | block1[0] = block1[1] = rVar(origR); |
---|
| 1603 | wv[0]=(int*)omAlloc0((rVar(origR) + 1)*sizeof(int)); |
---|
| 1604 | wv[1]=(int*)omAlloc0((rVar(origR) + 1)*sizeof(int)); |
---|
| 1605 | ord[0] = ringorder_a; |
---|
| 1606 | for (j=0;j<rVar(origR);j++) |
---|
| 1607 | wv[0][j]=pWeight(j+1,origR); |
---|
| 1608 | ord[1] = ringorder_wp; |
---|
| 1609 | for (j=0;j<rVar(origR);j++) |
---|
| 1610 | if (pGetExp(delVar,j+1)!=0) wv[1][j]=1; |
---|
| 1611 | #endif |
---|
| 1612 | ord[2] = ringorder_C; |
---|
| 1613 | ord[3] = 0; |
---|
| 1614 | } |
---|
| 1615 | else |
---|
| 1616 | { |
---|
| 1617 | // we change to an ordering: |
---|
| 1618 | // aa(....),orig_ordering |
---|
| 1619 | ord=(int*)omAlloc0(ordersize*sizeof(int)); |
---|
| 1620 | block0=(int*)omAlloc0(ordersize*sizeof(int)); |
---|
| 1621 | block1=(int*)omAlloc0(ordersize*sizeof(int)); |
---|
| 1622 | wv=(int**) omAlloc0(ordersize*sizeof(int**)); |
---|
| 1623 | for (k=0;k<ordersize-1; k++) |
---|
| 1624 | { |
---|
| 1625 | block0[k+1] = origR->block0[k]; |
---|
| 1626 | block1[k+1] = origR->block1[k]; |
---|
| 1627 | ord[k+1] = origR->order[k]; |
---|
| 1628 | if (origR->wvhdl[k]!=NULL) wv[k+1] = (int*) omMemDup(origR->wvhdl[k]); |
---|
| 1629 | } |
---|
| 1630 | block0[0] = 1; |
---|
| 1631 | block1[0] = rVar(origR); |
---|
| 1632 | wv[0]=(int*)omAlloc0((rVar(origR) + 1)*sizeof(int)); |
---|
| 1633 | for (j=0;j<rVar(origR);j++) |
---|
| 1634 | if (pGetExp(delVar,j+1)!=0) wv[0][j]=1; |
---|
| 1635 | // use this special ordering: like ringorder_a, except that pFDeg, pWeights |
---|
| 1636 | // ignore it |
---|
| 1637 | ord[0] = ringorder_aa; |
---|
| 1638 | } |
---|
| 1639 | // fill in tmp ring to get back the data later on |
---|
| 1640 | tmpR = rCopy0(origR,FALSE,FALSE); // qring==NULL |
---|
| 1641 | //rUnComplete(tmpR); |
---|
| 1642 | tmpR->p_Procs=NULL; |
---|
| 1643 | tmpR->order = ord; |
---|
| 1644 | tmpR->block0 = block0; |
---|
| 1645 | tmpR->block1 = block1; |
---|
| 1646 | tmpR->wvhdl = wv; |
---|
| 1647 | rComplete(tmpR, 1); |
---|
| 1648 | |
---|
| 1649 | #ifdef HAVE_PLURAL |
---|
| 1650 | /* update nc structure on tmpR */ |
---|
| 1651 | if (rIsPluralRing(origR)) |
---|
| 1652 | { |
---|
| 1653 | if ( nc_rComplete(origR, tmpR, false) ) // no quotient ideal! |
---|
| 1654 | { |
---|
| 1655 | Werror("no elimination is possible: ordering condition is violated"); |
---|
| 1656 | // cleanup |
---|
| 1657 | rDelete(tmpR); |
---|
| 1658 | if (w!=NULL) |
---|
| 1659 | delete w; |
---|
[a5d181c] | 1660 | return NULL; |
---|
[0f401f] | 1661 | } |
---|
| 1662 | } |
---|
| 1663 | #endif |
---|
| 1664 | // change into the new ring |
---|
[1f637e] | 1665 | //pChangeRing((currRing->N),currRing->OrdSgn,ord,block0,block1,wv); |
---|
[0f401f] | 1666 | rChangeCurrRing(tmpR); |
---|
| 1667 | |
---|
| 1668 | //h = idInit(IDELEMS(h1),h1->rank); |
---|
| 1669 | // fetch data from the old ring |
---|
| 1670 | //for (k=0;k<IDELEMS(h1);k++) h->m[k] = prCopyR( h1->m[k], origR); |
---|
| 1671 | h=idrCopyR(h1,origR,currRing); |
---|
| 1672 | if (origR->qideal!=NULL) |
---|
| 1673 | { |
---|
| 1674 | WarnS("eliminate in q-ring: experimental"); |
---|
| 1675 | ideal q=idrCopyR(origR->qideal,origR,currRing); |
---|
| 1676 | ideal s=idSimpleAdd(h,q); |
---|
| 1677 | idDelete(&h); |
---|
| 1678 | idDelete(&q); |
---|
| 1679 | h=s; |
---|
| 1680 | } |
---|
| 1681 | // compute kStd |
---|
| 1682 | #if 1 |
---|
| 1683 | //rWrite(tmpR);PrintLn(); |
---|
| 1684 | BITSET save=test; |
---|
| 1685 | //test |=1; |
---|
| 1686 | //Print("h: %d gen, rk=%d\n",IDELEMS(h),h->rank); |
---|
| 1687 | //extern char * showOption(); |
---|
| 1688 | //Print("%s\n",showOption()); |
---|
| 1689 | hh = kStd(h,NULL,hom,&w,hilb); |
---|
| 1690 | test=save; |
---|
| 1691 | idDelete(&h); |
---|
| 1692 | #else |
---|
| 1693 | extern ideal kGroebner(ideal F, ideal Q); |
---|
| 1694 | hh=kGroebner(h,NULL); |
---|
| 1695 | #endif |
---|
| 1696 | // go back to the original ring |
---|
| 1697 | rChangeCurrRing(origR); |
---|
| 1698 | i = IDELEMS(hh)-1; |
---|
| 1699 | while ((i >= 0) && (hh->m[i] == NULL)) i--; |
---|
| 1700 | j = -1; |
---|
| 1701 | // fetch data from temp ring |
---|
| 1702 | for (k=0; k<=i; k++) |
---|
| 1703 | { |
---|
[1f637e] | 1704 | l=(currRing->N); |
---|
[0f401f] | 1705 | while ((l>0) && (p_GetExp( hh->m[k],l,tmpR)*pGetExp(delVar,l)==0)) l--; |
---|
| 1706 | if (l==0) |
---|
| 1707 | { |
---|
| 1708 | j++; |
---|
| 1709 | if (j >= IDELEMS(h3)) |
---|
| 1710 | { |
---|
| 1711 | pEnlargeSet(&(h3->m),IDELEMS(h3),16); |
---|
| 1712 | IDELEMS(h3) += 16; |
---|
| 1713 | } |
---|
[b7cfaf] | 1714 | h3->m[j] = prMoveR( hh->m[k], tmpR,origR); |
---|
[0f401f] | 1715 | hh->m[k] = NULL; |
---|
| 1716 | } |
---|
| 1717 | } |
---|
| 1718 | id_Delete(&hh, tmpR); |
---|
| 1719 | idSkipZeroes(h3); |
---|
| 1720 | rDelete(tmpR); |
---|
| 1721 | if (w!=NULL) |
---|
| 1722 | delete w; |
---|
| 1723 | return h3; |
---|
| 1724 | } |
---|
| 1725 | |
---|
| 1726 | /*2 |
---|
| 1727 | * compute the which-th ar-minor of the matrix a |
---|
| 1728 | */ |
---|
| 1729 | poly idMinor(matrix a, int ar, unsigned long which, ideal R) |
---|
| 1730 | { |
---|
| 1731 | int i,j,k,size; |
---|
| 1732 | unsigned long curr; |
---|
| 1733 | int *rowchoise,*colchoise; |
---|
| 1734 | BOOLEAN rowch,colch; |
---|
| 1735 | ideal result; |
---|
| 1736 | matrix tmp; |
---|
| 1737 | poly p,q; |
---|
| 1738 | |
---|
| 1739 | i = binom(a->rows(),ar); |
---|
| 1740 | j = binom(a->cols(),ar); |
---|
| 1741 | |
---|
| 1742 | rowchoise=(int *)omAlloc(ar*sizeof(int)); |
---|
| 1743 | colchoise=(int *)omAlloc(ar*sizeof(int)); |
---|
| 1744 | if ((i>512) || (j>512) || (i*j >512)) size=512; |
---|
| 1745 | else size=i*j; |
---|
| 1746 | result=idInit(size,1); |
---|
| 1747 | tmp=mpNew(ar,ar); |
---|
| 1748 | k = 0; /* the index in result*/ |
---|
| 1749 | curr = 0; /* index of current minor */ |
---|
| 1750 | idInitChoise(ar,1,a->rows(),&rowch,rowchoise); |
---|
| 1751 | while (!rowch) |
---|
| 1752 | { |
---|
| 1753 | idInitChoise(ar,1,a->cols(),&colch,colchoise); |
---|
| 1754 | while (!colch) |
---|
| 1755 | { |
---|
| 1756 | if (curr == which) |
---|
| 1757 | { |
---|
| 1758 | for (i=1; i<=ar; i++) |
---|
| 1759 | { |
---|
| 1760 | for (j=1; j<=ar; j++) |
---|
| 1761 | { |
---|
| 1762 | MATELEM(tmp,i,j) = MATELEM(a,rowchoise[i-1],colchoise[j-1]); |
---|
| 1763 | } |
---|
| 1764 | } |
---|
[441a2e] | 1765 | p = mp_DetBareiss(tmp,currRing); |
---|
[0f401f] | 1766 | if (p!=NULL) |
---|
| 1767 | { |
---|
| 1768 | if (R!=NULL) |
---|
| 1769 | { |
---|
| 1770 | q = p; |
---|
| 1771 | p = kNF(R,currQuotient,q); |
---|
[f9591a] | 1772 | p_Delete(&q,currRing); |
---|
[0f401f] | 1773 | } |
---|
| 1774 | /*delete the matrix tmp*/ |
---|
| 1775 | for (i=1; i<=ar; i++) |
---|
| 1776 | { |
---|
| 1777 | for (j=1; j<=ar; j++) MATELEM(tmp,i,j) = NULL; |
---|
| 1778 | } |
---|
| 1779 | idDelete((ideal*)&tmp); |
---|
| 1780 | omFreeSize((ADDRESS)rowchoise,ar*sizeof(int)); |
---|
| 1781 | omFreeSize((ADDRESS)colchoise,ar*sizeof(int)); |
---|
| 1782 | return (p); |
---|
| 1783 | } |
---|
| 1784 | } |
---|
| 1785 | curr++; |
---|
| 1786 | idGetNextChoise(ar,a->cols(),&colch,colchoise); |
---|
| 1787 | } |
---|
| 1788 | idGetNextChoise(ar,a->rows(),&rowch,rowchoise); |
---|
| 1789 | } |
---|
| 1790 | return (poly) 1; |
---|
| 1791 | } |
---|
| 1792 | |
---|
| 1793 | #ifdef WITH_OLD_MINOR |
---|
| 1794 | /*2 |
---|
| 1795 | * compute all ar-minors of the matrix a |
---|
| 1796 | */ |
---|
| 1797 | ideal idMinors(matrix a, int ar, ideal R) |
---|
| 1798 | { |
---|
| 1799 | int i,j,k,size; |
---|
| 1800 | int *rowchoise,*colchoise; |
---|
| 1801 | BOOLEAN rowch,colch; |
---|
| 1802 | ideal result; |
---|
| 1803 | matrix tmp; |
---|
| 1804 | poly p,q; |
---|
| 1805 | |
---|
| 1806 | i = binom(a->rows(),ar); |
---|
| 1807 | j = binom(a->cols(),ar); |
---|
| 1808 | |
---|
| 1809 | rowchoise=(int *)omAlloc(ar*sizeof(int)); |
---|
| 1810 | colchoise=(int *)omAlloc(ar*sizeof(int)); |
---|
| 1811 | if ((i>512) || (j>512) || (i*j >512)) size=512; |
---|
| 1812 | else size=i*j; |
---|
| 1813 | result=idInit(size,1); |
---|
| 1814 | tmp=mpNew(ar,ar); |
---|
| 1815 | k = 0; /* the index in result*/ |
---|
| 1816 | idInitChoise(ar,1,a->rows(),&rowch,rowchoise); |
---|
| 1817 | while (!rowch) |
---|
| 1818 | { |
---|
| 1819 | idInitChoise(ar,1,a->cols(),&colch,colchoise); |
---|
| 1820 | while (!colch) |
---|
| 1821 | { |
---|
| 1822 | for (i=1; i<=ar; i++) |
---|
| 1823 | { |
---|
| 1824 | for (j=1; j<=ar; j++) |
---|
| 1825 | { |
---|
| 1826 | MATELEM(tmp,i,j) = MATELEM(a,rowchoise[i-1],colchoise[j-1]); |
---|
| 1827 | } |
---|
| 1828 | } |
---|
[441a2e] | 1829 | p = mp_DetBareiss(tmp,vcurrRing); |
---|
[0f401f] | 1830 | if (p!=NULL) |
---|
| 1831 | { |
---|
| 1832 | if (R!=NULL) |
---|
| 1833 | { |
---|
| 1834 | q = p; |
---|
| 1835 | p = kNF(R,currQuotient,q); |
---|
[f9591a] | 1836 | p_Delete(&q,currRing); |
---|
[0f401f] | 1837 | } |
---|
| 1838 | if (p!=NULL) |
---|
| 1839 | { |
---|
| 1840 | if (k>=size) |
---|
| 1841 | { |
---|
| 1842 | pEnlargeSet(&result->m,size,32); |
---|
| 1843 | size += 32; |
---|
| 1844 | } |
---|
| 1845 | result->m[k] = p; |
---|
| 1846 | k++; |
---|
| 1847 | } |
---|
| 1848 | } |
---|
| 1849 | idGetNextChoise(ar,a->cols(),&colch,colchoise); |
---|
| 1850 | } |
---|
| 1851 | idGetNextChoise(ar,a->rows(),&rowch,rowchoise); |
---|
| 1852 | } |
---|
| 1853 | /*delete the matrix tmp*/ |
---|
| 1854 | for (i=1; i<=ar; i++) |
---|
| 1855 | { |
---|
| 1856 | for (j=1; j<=ar; j++) MATELEM(tmp,i,j) = NULL; |
---|
| 1857 | } |
---|
| 1858 | idDelete((ideal*)&tmp); |
---|
| 1859 | if (k==0) |
---|
| 1860 | { |
---|
| 1861 | k=1; |
---|
| 1862 | result->m[0]=NULL; |
---|
| 1863 | } |
---|
| 1864 | omFreeSize((ADDRESS)rowchoise,ar*sizeof(int)); |
---|
| 1865 | omFreeSize((ADDRESS)colchoise,ar*sizeof(int)); |
---|
| 1866 | pEnlargeSet(&result->m,size,k-size); |
---|
| 1867 | IDELEMS(result) = k; |
---|
| 1868 | return (result); |
---|
| 1869 | } |
---|
| 1870 | #else |
---|
| 1871 | /*2 |
---|
| 1872 | * compute all ar-minors of the matrix a |
---|
| 1873 | * the caller of mpRecMin |
---|
| 1874 | * the elements of the result are not in R (if R!=NULL) |
---|
| 1875 | */ |
---|
| 1876 | ideal idMinors(matrix a, int ar, ideal R) |
---|
| 1877 | { |
---|
| 1878 | int elems=0; |
---|
| 1879 | int r=a->nrows,c=a->ncols; |
---|
| 1880 | int i; |
---|
| 1881 | matrix b; |
---|
| 1882 | ideal result,h; |
---|
[46008c] | 1883 | ring origR=currRing; |
---|
[0f401f] | 1884 | ring tmpR; |
---|
| 1885 | long bound; |
---|
| 1886 | |
---|
| 1887 | if((ar<=0) || (ar>r) || (ar>c)) |
---|
| 1888 | { |
---|
| 1889 | Werror("%d-th minor, matrix is %dx%d",ar,r,c); |
---|
| 1890 | return NULL; |
---|
| 1891 | } |
---|
[46008c] | 1892 | h = id_Matrix2Module(mp_Copy(a,origR),origR); |
---|
| 1893 | bound = sm_ExpBound(h,c,r,ar,origR); |
---|
[0f401f] | 1894 | idDelete(&h); |
---|
[441a2e] | 1895 | tmpR=sm_RingChange(origR,bound); |
---|
[0f401f] | 1896 | b = mpNew(r,c); |
---|
| 1897 | for (i=r*c-1;i>=0;i--) |
---|
| 1898 | { |
---|
| 1899 | if (a->m[i]) |
---|
[46008c] | 1900 | b->m[i] = prCopyR(a->m[i],origR,tmpR); |
---|
[0f401f] | 1901 | } |
---|
| 1902 | if (R!=NULL) |
---|
| 1903 | { |
---|
[46008c] | 1904 | R = idrCopyR(R,origR,tmpR); |
---|
[0f401f] | 1905 | //if (ar>1) // otherwise done in mpMinorToResult |
---|
| 1906 | //{ |
---|
| 1907 | // matrix bb=(matrix)kNF(R,currQuotient,(ideal)b); |
---|
| 1908 | // bb->rank=b->rank; bb->nrows=b->nrows; bb->ncols=b->ncols; |
---|
| 1909 | // idDelete((ideal*)&b); b=bb; |
---|
| 1910 | //} |
---|
| 1911 | } |
---|
| 1912 | result=idInit(32,1); |
---|
[46008c] | 1913 | if(ar>1) mp_RecMin(ar-1,result,elems,b,r,c,NULL,R,tmpR); |
---|
| 1914 | else mp_MinorToResult(result,elems,b,r,c,R,tmpR); |
---|
[0f401f] | 1915 | idDelete((ideal *)&b); |
---|
| 1916 | if (R!=NULL) idDelete(&R); |
---|
| 1917 | idSkipZeroes(result); |
---|
| 1918 | rChangeCurrRing(origR); |
---|
[441a2e] | 1919 | result = idrMoveR(result,tmpR,origR); |
---|
[d16ea9] | 1920 | sm_KillModifiedRing(tmpR); |
---|
[0f401f] | 1921 | idTest(result); |
---|
| 1922 | return result; |
---|
| 1923 | } |
---|
| 1924 | #endif |
---|
| 1925 | |
---|
| 1926 | /*2 |
---|
| 1927 | *returns TRUE if id1 is a submodule of id2 |
---|
| 1928 | */ |
---|
| 1929 | BOOLEAN idIsSubModule(ideal id1,ideal id2) |
---|
| 1930 | { |
---|
| 1931 | int i; |
---|
| 1932 | poly p; |
---|
| 1933 | |
---|
| 1934 | if (idIs0(id1)) return TRUE; |
---|
| 1935 | for (i=0;i<IDELEMS(id1);i++) |
---|
| 1936 | { |
---|
| 1937 | if (id1->m[i] != NULL) |
---|
| 1938 | { |
---|
| 1939 | p = kNF(id2,currQuotient,id1->m[i]); |
---|
| 1940 | if (p != NULL) |
---|
| 1941 | { |
---|
[f9591a] | 1942 | p_Delete(&p,currRing); |
---|
[0f401f] | 1943 | return FALSE; |
---|
| 1944 | } |
---|
| 1945 | } |
---|
| 1946 | } |
---|
| 1947 | return TRUE; |
---|
| 1948 | } |
---|
| 1949 | |
---|
| 1950 | BOOLEAN idTestHomModule(ideal m, ideal Q, intvec *w) |
---|
| 1951 | { |
---|
| 1952 | if ((Q!=NULL) && (!idHomIdeal(Q,NULL))) { PrintS(" Q not hom\n"); return FALSE;} |
---|
| 1953 | if (idIs0(m)) return TRUE; |
---|
| 1954 | |
---|
| 1955 | int cmax=-1; |
---|
| 1956 | int i; |
---|
| 1957 | poly p=NULL; |
---|
| 1958 | int length=IDELEMS(m); |
---|
| 1959 | polyset P=m->m; |
---|
| 1960 | for (i=length-1;i>=0;i--) |
---|
| 1961 | { |
---|
| 1962 | p=P[i]; |
---|
| 1963 | if (p!=NULL) cmax=si_max(cmax,(int)pMaxComp(p)+1); |
---|
| 1964 | } |
---|
| 1965 | if (w != NULL) |
---|
| 1966 | if (w->length()+1 < cmax) |
---|
| 1967 | { |
---|
| 1968 | // Print("length: %d - %d \n", w->length(),cmax); |
---|
| 1969 | return FALSE; |
---|
| 1970 | } |
---|
| 1971 | |
---|
| 1972 | if(w!=NULL) |
---|
[e1215e] | 1973 | p_SetModDeg(w, currRing); |
---|
[0f401f] | 1974 | |
---|
| 1975 | for (i=length-1;i>=0;i--) |
---|
| 1976 | { |
---|
| 1977 | p=P[i]; |
---|
| 1978 | poly q=p; |
---|
| 1979 | if (p!=NULL) |
---|
| 1980 | { |
---|
[b7cfaf] | 1981 | int d=currRing->pFDeg(p,currRing); |
---|
[0f401f] | 1982 | loop |
---|
| 1983 | { |
---|
| 1984 | pIter(p); |
---|
| 1985 | if (p==NULL) break; |
---|
[b7cfaf] | 1986 | if (d!=currRing->pFDeg(p,currRing)) |
---|
[0f401f] | 1987 | { |
---|
| 1988 | //pWrite(q); wrp(p); Print(" -> %d - %d\n",d,pFDeg(p,currRing)); |
---|
| 1989 | if(w!=NULL) |
---|
[e1215e] | 1990 | p_SetModDeg(NULL, currRing); |
---|
[0f401f] | 1991 | return FALSE; |
---|
| 1992 | } |
---|
| 1993 | } |
---|
| 1994 | } |
---|
| 1995 | } |
---|
| 1996 | |
---|
| 1997 | if(w!=NULL) |
---|
[e1215e] | 1998 | p_SetModDeg(NULL, currRing); |
---|
[0f401f] | 1999 | |
---|
| 2000 | return TRUE; |
---|
| 2001 | } |
---|
| 2002 | |
---|
| 2003 | ideal idSeries(int n,ideal M,matrix U,intvec *w) |
---|
| 2004 | { |
---|
| 2005 | for(int i=IDELEMS(M)-1;i>=0;i--) |
---|
| 2006 | { |
---|
| 2007 | if(U==NULL) |
---|
| 2008 | M->m[i]=pSeries(n,M->m[i],NULL,w); |
---|
| 2009 | else |
---|
| 2010 | { |
---|
| 2011 | M->m[i]=pSeries(n,M->m[i],MATELEM(U,i+1,i+1),w); |
---|
| 2012 | MATELEM(U,i+1,i+1)=NULL; |
---|
| 2013 | } |
---|
| 2014 | } |
---|
| 2015 | if(U!=NULL) |
---|
| 2016 | idDelete((ideal*)&U); |
---|
| 2017 | return M; |
---|
| 2018 | } |
---|
| 2019 | |
---|
| 2020 | matrix idDiff(matrix i, int k) |
---|
| 2021 | { |
---|
| 2022 | int e=MATCOLS(i)*MATROWS(i); |
---|
| 2023 | matrix r=mpNew(MATROWS(i),MATCOLS(i)); |
---|
| 2024 | r->rank=i->rank; |
---|
| 2025 | int j; |
---|
| 2026 | for(j=0; j<e; j++) |
---|
| 2027 | { |
---|
| 2028 | r->m[j]=pDiff(i->m[j],k); |
---|
| 2029 | } |
---|
| 2030 | return r; |
---|
| 2031 | } |
---|
| 2032 | |
---|
| 2033 | matrix idDiffOp(ideal I, ideal J,BOOLEAN multiply) |
---|
| 2034 | { |
---|
| 2035 | matrix r=mpNew(IDELEMS(I),IDELEMS(J)); |
---|
| 2036 | int i,j; |
---|
| 2037 | for(i=0; i<IDELEMS(I); i++) |
---|
| 2038 | { |
---|
| 2039 | for(j=0; j<IDELEMS(J); j++) |
---|
| 2040 | { |
---|
| 2041 | MATELEM(r,i+1,j+1)=pDiffOp(I->m[i],J->m[j],multiply); |
---|
| 2042 | } |
---|
| 2043 | } |
---|
| 2044 | return r; |
---|
| 2045 | } |
---|
| 2046 | |
---|
| 2047 | /*3 |
---|
| 2048 | *handles for some ideal operations the ring/syzcomp managment |
---|
| 2049 | *returns all syzygies (componentwise-)shifted by -syzcomp |
---|
| 2050 | *or -syzcomp-1 (in case of ideals as input) |
---|
| 2051 | static ideal idHandleIdealOp(ideal arg,int syzcomp,int isIdeal=FALSE) |
---|
| 2052 | { |
---|
| 2053 | ring orig_ring=currRing; |
---|
[3f07d1] | 2054 | ring syz_ring=rAssure_SyzComp(orig_ring, TRUE); rChangeCurrRing(syz_ring); |
---|
| 2055 | rSetSyzComp(length, syz_ring); |
---|
[0f401f] | 2056 | |
---|
| 2057 | ideal s_temp; |
---|
| 2058 | if (orig_ring!=syz_ring) |
---|
[b7cfaf] | 2059 | s_temp=idrMoveR_NoSort(arg,orig_ring, syz_ring); |
---|
[0f401f] | 2060 | else |
---|
| 2061 | s_temp=arg; |
---|
| 2062 | |
---|
| 2063 | ideal s_temp1 = kStd(s_temp,currQuotient,testHomog,&w,NULL,length); |
---|
| 2064 | if (w!=NULL) delete w; |
---|
| 2065 | |
---|
| 2066 | if (syz_ring!=orig_ring) |
---|
| 2067 | { |
---|
| 2068 | idDelete(&s_temp); |
---|
| 2069 | rChangeCurrRing(orig_ring); |
---|
| 2070 | } |
---|
| 2071 | |
---|
| 2072 | idDelete(&temp); |
---|
| 2073 | ideal temp1=idRingCopy(s_temp1,syz_ring); |
---|
| 2074 | |
---|
| 2075 | if (syz_ring!=orig_ring) |
---|
| 2076 | { |
---|
| 2077 | rChangeCurrRing(syz_ring); |
---|
| 2078 | idDelete(&s_temp1); |
---|
| 2079 | rChangeCurrRing(orig_ring); |
---|
[5fe834] | 2080 | rDelete(syz_ring); |
---|
[0f401f] | 2081 | } |
---|
| 2082 | |
---|
| 2083 | for (i=0;i<IDELEMS(temp1);i++) |
---|
| 2084 | { |
---|
| 2085 | if ((temp1->m[i]!=NULL) |
---|
| 2086 | && (pGetComp(temp1->m[i])<=length)) |
---|
| 2087 | { |
---|
| 2088 | pDelete(&(temp1->m[i])); |
---|
| 2089 | } |
---|
| 2090 | else |
---|
| 2091 | { |
---|
[861529] | 2092 | p_Shift(&(temp1->m[i]),-length,currRing); |
---|
[0f401f] | 2093 | } |
---|
| 2094 | } |
---|
| 2095 | temp1->rank = rk; |
---|
| 2096 | idSkipZeroes(temp1); |
---|
| 2097 | |
---|
| 2098 | return temp1; |
---|
| 2099 | } |
---|
| 2100 | */ |
---|
| 2101 | /*2 |
---|
| 2102 | * represents (h1+h2)/h2=h1/(h1 intersect h2) |
---|
| 2103 | */ |
---|
| 2104 | //ideal idModulo (ideal h2,ideal h1) |
---|
| 2105 | ideal idModulo (ideal h2,ideal h1, tHomog hom, intvec ** w) |
---|
| 2106 | { |
---|
| 2107 | intvec *wtmp=NULL; |
---|
| 2108 | |
---|
| 2109 | int i,j,k,rk,flength=0,slength,length; |
---|
| 2110 | poly p,q; |
---|
| 2111 | |
---|
| 2112 | if (idIs0(h2)) |
---|
| 2113 | return idFreeModule(si_max(1,h2->ncols)); |
---|
| 2114 | if (!idIs0(h1)) |
---|
[7b25fe] | 2115 | flength = id_RankFreeModule(h1,currRing); |
---|
| 2116 | slength = id_RankFreeModule(h2,currRing); |
---|
[0f401f] | 2117 | length = si_max(flength,slength); |
---|
| 2118 | if (length==0) |
---|
| 2119 | { |
---|
| 2120 | length = 1; |
---|
| 2121 | } |
---|
| 2122 | ideal temp = idInit(IDELEMS(h2),length+IDELEMS(h2)); |
---|
| 2123 | if ((w!=NULL)&&((*w)!=NULL)) |
---|
| 2124 | { |
---|
| 2125 | //Print("input weights:");(*w)->show(1);PrintLn(); |
---|
| 2126 | int d; |
---|
| 2127 | int k; |
---|
| 2128 | wtmp=new intvec(length+IDELEMS(h2)); |
---|
| 2129 | for (i=0;i<length;i++) |
---|
| 2130 | ((*wtmp)[i])=(**w)[i]; |
---|
| 2131 | for (i=0;i<IDELEMS(h2);i++) |
---|
| 2132 | { |
---|
| 2133 | poly p=h2->m[i]; |
---|
| 2134 | if (p!=NULL) |
---|
| 2135 | { |
---|
[31f1850] | 2136 | d = p_Deg(p,currRing); |
---|
[0f401f] | 2137 | k= pGetComp(p); |
---|
| 2138 | if (slength>0) k--; |
---|
| 2139 | d +=((**w)[k]); |
---|
| 2140 | ((*wtmp)[i+length]) = d; |
---|
| 2141 | } |
---|
| 2142 | } |
---|
| 2143 | //Print("weights:");wtmp->show(1);PrintLn(); |
---|
| 2144 | } |
---|
| 2145 | for (i=0;i<IDELEMS(h2);i++) |
---|
| 2146 | { |
---|
| 2147 | temp->m[i] = pCopy(h2->m[i]); |
---|
| 2148 | q = pOne(); |
---|
| 2149 | pSetComp(q,i+1+length); |
---|
| 2150 | pSetmComp(q); |
---|
| 2151 | if(temp->m[i]!=NULL) |
---|
| 2152 | { |
---|
[861529] | 2153 | if (slength==0) p_Shift(&(temp->m[i]),1,currRing); |
---|
[0f401f] | 2154 | p = temp->m[i]; |
---|
| 2155 | while (pNext(p)!=NULL) pIter(p); |
---|
| 2156 | pNext(p) = q; |
---|
| 2157 | } |
---|
| 2158 | else |
---|
| 2159 | temp->m[i]=q; |
---|
| 2160 | } |
---|
| 2161 | rk = k = IDELEMS(h2); |
---|
| 2162 | if (!idIs0(h1)) |
---|
| 2163 | { |
---|
| 2164 | pEnlargeSet(&(temp->m),IDELEMS(temp),IDELEMS(h1)); |
---|
| 2165 | IDELEMS(temp) += IDELEMS(h1); |
---|
| 2166 | for (i=0;i<IDELEMS(h1);i++) |
---|
| 2167 | { |
---|
| 2168 | if (h1->m[i]!=NULL) |
---|
| 2169 | { |
---|
| 2170 | temp->m[k] = pCopy(h1->m[i]); |
---|
[861529] | 2171 | if (flength==0) p_Shift(&(temp->m[k]),1,currRing); |
---|
[0f401f] | 2172 | k++; |
---|
| 2173 | } |
---|
| 2174 | } |
---|
| 2175 | } |
---|
| 2176 | |
---|
| 2177 | ring orig_ring=currRing; |
---|
[3f07d1] | 2178 | ring syz_ring=rAssure_SyzComp(orig_ring, TRUE); rChangeCurrRing(syz_ring); |
---|
[b7cfaf] | 2179 | rSetSyzComp(length, syz_ring); |
---|
[0f401f] | 2180 | ideal s_temp; |
---|
| 2181 | |
---|
| 2182 | if (syz_ring != orig_ring) |
---|
| 2183 | { |
---|
[b7cfaf] | 2184 | s_temp = idrMoveR_NoSort(temp, orig_ring, syz_ring); |
---|
[0f401f] | 2185 | } |
---|
| 2186 | else |
---|
| 2187 | { |
---|
| 2188 | s_temp = temp; |
---|
| 2189 | } |
---|
| 2190 | |
---|
| 2191 | idTest(s_temp); |
---|
| 2192 | ideal s_temp1 = kStd(s_temp,currQuotient,hom,&wtmp,NULL,length); |
---|
| 2193 | |
---|
| 2194 | //if (wtmp!=NULL) Print("output weights:");wtmp->show(1);PrintLn(); |
---|
| 2195 | if ((w!=NULL) && (*w !=NULL) && (wtmp!=NULL)) |
---|
| 2196 | { |
---|
| 2197 | delete *w; |
---|
| 2198 | *w=new intvec(IDELEMS(h2)); |
---|
| 2199 | for (i=0;i<IDELEMS(h2);i++) |
---|
| 2200 | ((**w)[i])=(*wtmp)[i+length]; |
---|
| 2201 | } |
---|
| 2202 | if (wtmp!=NULL) delete wtmp; |
---|
| 2203 | |
---|
| 2204 | for (i=0;i<IDELEMS(s_temp1);i++) |
---|
| 2205 | { |
---|
| 2206 | if ((s_temp1->m[i]!=NULL) |
---|
| 2207 | && (pGetComp(s_temp1->m[i])<=length)) |
---|
| 2208 | { |
---|
[f9591a] | 2209 | p_Delete(&(s_temp1->m[i]),currRing); |
---|
[0f401f] | 2210 | } |
---|
| 2211 | else |
---|
| 2212 | { |
---|
[861529] | 2213 | p_Shift(&(s_temp1->m[i]),-length,currRing); |
---|
[0f401f] | 2214 | } |
---|
| 2215 | } |
---|
| 2216 | s_temp1->rank = rk; |
---|
| 2217 | idSkipZeroes(s_temp1); |
---|
| 2218 | |
---|
| 2219 | if (syz_ring!=orig_ring) |
---|
| 2220 | { |
---|
| 2221 | rChangeCurrRing(orig_ring); |
---|
[b7cfaf] | 2222 | s_temp1 = idrMoveR_NoSort(s_temp1, syz_ring, orig_ring); |
---|
[5fe834] | 2223 | rDelete(syz_ring); |
---|
[0f401f] | 2224 | // Hmm ... here seems to be a memory leak |
---|
| 2225 | // However, simply deleting it causes memory trouble |
---|
| 2226 | // idDelete(&s_temp); |
---|
| 2227 | } |
---|
| 2228 | else |
---|
| 2229 | { |
---|
| 2230 | idDelete(&temp); |
---|
| 2231 | } |
---|
| 2232 | idTest(s_temp1); |
---|
| 2233 | return s_temp1; |
---|
| 2234 | } |
---|
| 2235 | |
---|
| 2236 | /* |
---|
| 2237 | *computes module-weights for liftings of homogeneous modules |
---|
| 2238 | */ |
---|
| 2239 | intvec * idMWLift(ideal mod,intvec * weights) |
---|
| 2240 | { |
---|
| 2241 | if (idIs0(mod)) return new intvec(2); |
---|
| 2242 | int i=IDELEMS(mod); |
---|
| 2243 | while ((i>0) && (mod->m[i-1]==NULL)) i--; |
---|
| 2244 | intvec *result = new intvec(i+1); |
---|
| 2245 | while (i>0) |
---|
| 2246 | { |
---|
[b7cfaf] | 2247 | (*result)[i]=currRing->pFDeg(mod->m[i],currRing)+(*weights)[pGetComp(mod->m[i])]; |
---|
[0f401f] | 2248 | } |
---|
| 2249 | return result; |
---|
| 2250 | } |
---|
| 2251 | |
---|
| 2252 | /*2 |
---|
| 2253 | *sorts the kbase for idCoef* in a special way (lexicographically |
---|
| 2254 | *with x_max,...,x_1) |
---|
| 2255 | */ |
---|
| 2256 | ideal idCreateSpecialKbase(ideal kBase,intvec ** convert) |
---|
| 2257 | { |
---|
| 2258 | int i; |
---|
| 2259 | ideal result; |
---|
| 2260 | |
---|
| 2261 | if (idIs0(kBase)) return NULL; |
---|
| 2262 | result = idInit(IDELEMS(kBase),kBase->rank); |
---|
| 2263 | *convert = idSort(kBase,FALSE); |
---|
| 2264 | for (i=0;i<(*convert)->length();i++) |
---|
| 2265 | { |
---|
| 2266 | result->m[i] = pCopy(kBase->m[(**convert)[i]-1]); |
---|
| 2267 | } |
---|
| 2268 | return result; |
---|
| 2269 | } |
---|
| 2270 | |
---|
| 2271 | /*2 |
---|
| 2272 | *returns the index of a given monom in the list of the special kbase |
---|
| 2273 | */ |
---|
| 2274 | int idIndexOfKBase(poly monom, ideal kbase) |
---|
| 2275 | { |
---|
| 2276 | int j=IDELEMS(kbase); |
---|
| 2277 | |
---|
| 2278 | while ((j>0) && (kbase->m[j-1]==NULL)) j--; |
---|
| 2279 | if (j==0) return -1; |
---|
[1f637e] | 2280 | int i=(currRing->N); |
---|
[0f401f] | 2281 | while (i>0) |
---|
| 2282 | { |
---|
| 2283 | loop |
---|
| 2284 | { |
---|
| 2285 | if (pGetExp(monom,i)>pGetExp(kbase->m[j-1],i)) return -1; |
---|
| 2286 | if (pGetExp(monom,i)==pGetExp(kbase->m[j-1],i)) break; |
---|
| 2287 | j--; |
---|
| 2288 | if (j==0) return -1; |
---|
| 2289 | } |
---|
| 2290 | if (i==1) |
---|
| 2291 | { |
---|
| 2292 | while(j>0) |
---|
| 2293 | { |
---|
| 2294 | if (pGetComp(monom)==pGetComp(kbase->m[j-1])) return j-1; |
---|
| 2295 | if (pGetComp(monom)>pGetComp(kbase->m[j-1])) return -1; |
---|
| 2296 | j--; |
---|
| 2297 | } |
---|
| 2298 | } |
---|
| 2299 | i--; |
---|
| 2300 | } |
---|
| 2301 | return -1; |
---|
| 2302 | } |
---|
| 2303 | |
---|
| 2304 | /*2 |
---|
| 2305 | *decomposes the monom in a part of coefficients described by the |
---|
| 2306 | *complement of how and a monom in variables occuring in how, the |
---|
| 2307 | *index of which in kbase is returned as integer pos (-1 if it don't |
---|
| 2308 | *exists) |
---|
| 2309 | */ |
---|
| 2310 | poly idDecompose(poly monom, poly how, ideal kbase, int * pos) |
---|
| 2311 | { |
---|
| 2312 | int i; |
---|
| 2313 | poly coeff=pOne(), base=pOne(); |
---|
| 2314 | |
---|
[1f637e] | 2315 | for (i=1;i<=(currRing->N);i++) |
---|
[0f401f] | 2316 | { |
---|
| 2317 | if (pGetExp(how,i)>0) |
---|
| 2318 | { |
---|
| 2319 | pSetExp(base,i,pGetExp(monom,i)); |
---|
| 2320 | } |
---|
| 2321 | else |
---|
| 2322 | { |
---|
| 2323 | pSetExp(coeff,i,pGetExp(monom,i)); |
---|
| 2324 | } |
---|
| 2325 | } |
---|
| 2326 | pSetComp(base,pGetComp(monom)); |
---|
| 2327 | pSetm(base); |
---|
| 2328 | pSetCoeff(coeff,nCopy(pGetCoeff(monom))); |
---|
| 2329 | pSetm(coeff); |
---|
| 2330 | *pos = idIndexOfKBase(base,kbase); |
---|
| 2331 | if (*pos<0) |
---|
[f9591a] | 2332 | p_Delete(&coeff,currRing); |
---|
| 2333 | p_Delete(&base,currRing); |
---|
[0f401f] | 2334 | return coeff; |
---|
| 2335 | } |
---|
| 2336 | |
---|
| 2337 | /*2 |
---|
| 2338 | *returns a matrix A of coefficients with kbase*A=arg |
---|
| 2339 | *if all monomials in variables of how occur in kbase |
---|
| 2340 | *the other are deleted |
---|
| 2341 | */ |
---|
| 2342 | matrix idCoeffOfKBase(ideal arg, ideal kbase, poly how) |
---|
| 2343 | { |
---|
| 2344 | matrix result; |
---|
| 2345 | ideal tempKbase; |
---|
| 2346 | poly p,q; |
---|
| 2347 | intvec * convert; |
---|
| 2348 | int i=IDELEMS(kbase),j=IDELEMS(arg),k,pos; |
---|
| 2349 | #if 0 |
---|
| 2350 | while ((i>0) && (kbase->m[i-1]==NULL)) i--; |
---|
| 2351 | if (idIs0(arg)) |
---|
| 2352 | return mpNew(i,1); |
---|
| 2353 | while ((j>0) && (arg->m[j-1]==NULL)) j--; |
---|
| 2354 | result = mpNew(i,j); |
---|
| 2355 | #else |
---|
| 2356 | result = mpNew(i, j); |
---|
| 2357 | while ((j>0) && (arg->m[j-1]==NULL)) j--; |
---|
| 2358 | #endif |
---|
| 2359 | |
---|
| 2360 | tempKbase = idCreateSpecialKbase(kbase,&convert); |
---|
| 2361 | for (k=0;k<j;k++) |
---|
| 2362 | { |
---|
| 2363 | p = arg->m[k]; |
---|
| 2364 | while (p!=NULL) |
---|
| 2365 | { |
---|
| 2366 | q = idDecompose(p,how,tempKbase,&pos); |
---|
| 2367 | if (pos>=0) |
---|
| 2368 | { |
---|
| 2369 | MATELEM(result,(*convert)[pos],k+1) = |
---|
| 2370 | pAdd(MATELEM(result,(*convert)[pos],k+1),q); |
---|
| 2371 | } |
---|
| 2372 | else |
---|
[f9591a] | 2373 | p_Delete(&q,currRing); |
---|
[0f401f] | 2374 | pIter(p); |
---|
| 2375 | } |
---|
| 2376 | } |
---|
| 2377 | idDelete(&tempKbase); |
---|
| 2378 | return result; |
---|
| 2379 | } |
---|
| 2380 | |
---|
| 2381 | static void idDeleteComps(ideal arg,int* red_comp,int del) |
---|
| 2382 | // red_comp is an array [0..args->rank] |
---|
| 2383 | { |
---|
| 2384 | int i,j; |
---|
| 2385 | poly p; |
---|
| 2386 | |
---|
| 2387 | for (i=IDELEMS(arg)-1;i>=0;i--) |
---|
| 2388 | { |
---|
| 2389 | p = arg->m[i]; |
---|
| 2390 | while (p!=NULL) |
---|
| 2391 | { |
---|
| 2392 | j = pGetComp(p); |
---|
| 2393 | if (red_comp[j]!=j) |
---|
| 2394 | { |
---|
| 2395 | pSetComp(p,red_comp[j]); |
---|
| 2396 | pSetmComp(p); |
---|
| 2397 | } |
---|
| 2398 | pIter(p); |
---|
| 2399 | } |
---|
| 2400 | } |
---|
| 2401 | (arg->rank) -= del; |
---|
| 2402 | } |
---|
| 2403 | |
---|
| 2404 | /*2 |
---|
| 2405 | * returns the presentation of an isomorphic, minimally |
---|
| 2406 | * embedded module (arg represents the quotient!) |
---|
| 2407 | */ |
---|
| 2408 | ideal idMinEmbedding(ideal arg,BOOLEAN inPlace, intvec **w) |
---|
| 2409 | { |
---|
| 2410 | if (idIs0(arg)) return idInit(1,arg->rank); |
---|
| 2411 | int i,next_gen,next_comp; |
---|
| 2412 | ideal res=arg; |
---|
| 2413 | if (!inPlace) res = idCopy(arg); |
---|
[7b25fe] | 2414 | res->rank=si_max(res->rank,id_RankFreeModule(res,currRing)); |
---|
[0f401f] | 2415 | int *red_comp=(int*)omAlloc((res->rank+1)*sizeof(int)); |
---|
| 2416 | for (i=res->rank;i>=0;i--) red_comp[i]=i; |
---|
| 2417 | |
---|
| 2418 | int del=0; |
---|
| 2419 | loop |
---|
| 2420 | { |
---|
[d16ea9] | 2421 | next_gen = id_ReadOutPivot(res, &next_comp, currRing); |
---|
[0f401f] | 2422 | if (next_gen<0) break; |
---|
| 2423 | del++; |
---|
| 2424 | syGaussForOne(res,next_gen,next_comp,0,IDELEMS(res)); |
---|
| 2425 | for(i=next_comp+1;i<=arg->rank;i++) red_comp[i]--; |
---|
| 2426 | if ((w !=NULL)&&(*w!=NULL)) |
---|
| 2427 | { |
---|
| 2428 | for(i=next_comp;i<(*w)->length();i++) (**w)[i-1]=(**w)[i]; |
---|
| 2429 | } |
---|
| 2430 | } |
---|
| 2431 | |
---|
| 2432 | idDeleteComps(res,red_comp,del); |
---|
| 2433 | idSkipZeroes(res); |
---|
| 2434 | omFree(red_comp); |
---|
| 2435 | |
---|
| 2436 | if ((w !=NULL)&&(*w!=NULL) &&(del>0)) |
---|
| 2437 | { |
---|
| 2438 | intvec *wtmp=new intvec((*w)->length()-del); |
---|
| 2439 | for(i=0;i<res->rank;i++) (*wtmp)[i]=(**w)[i]; |
---|
| 2440 | delete *w; |
---|
| 2441 | *w=wtmp; |
---|
| 2442 | } |
---|
| 2443 | return res; |
---|
| 2444 | } |
---|
| 2445 | |
---|
[76cfef] | 2446 | #include <polys/clapsing.h> |
---|
[0f401f] | 2447 | |
---|
| 2448 | #ifdef HAVE_FACTORY |
---|
[7e6bfe] | 2449 | #if 0 |
---|
[0f401f] | 2450 | poly id_GCD(poly f, poly g, const ring r) |
---|
| 2451 | { |
---|
| 2452 | ring save_r=currRing; |
---|
| 2453 | rChangeCurrRing(r); |
---|
| 2454 | ideal I=idInit(2,1); I->m[0]=f; I->m[1]=g; |
---|
| 2455 | intvec *w = NULL; |
---|
| 2456 | ideal S=idSyzygies(I,testHomog,&w); |
---|
| 2457 | if (w!=NULL) delete w; |
---|
| 2458 | poly gg=pTakeOutComp(&(S->m[0]),2); |
---|
| 2459 | idDelete(&S); |
---|
[b7cfaf] | 2460 | poly gcd_p=singclap_pdivide(f,gg,r); |
---|
[f9591a] | 2461 | p_Delete(&gg,r); |
---|
[0f401f] | 2462 | rChangeCurrRing(save_r); |
---|
| 2463 | return gcd_p; |
---|
| 2464 | } |
---|
[7e6bfe] | 2465 | #else |
---|
| 2466 | poly id_GCD(poly f, poly g, const ring r) |
---|
| 2467 | { |
---|
| 2468 | ideal I=idInit(2,1); I->m[0]=f; I->m[1]=g; |
---|
| 2469 | intvec *w = NULL; |
---|
| 2470 | |
---|
[a5d181c] | 2471 | ring save_r = currRing; rChangeCurrRing(r); ideal S=idSyzygies(I,testHomog,&w); rChangeCurrRing(save_r); |
---|
| 2472 | |
---|
[7e6bfe] | 2473 | if (w!=NULL) delete w; |
---|
| 2474 | poly gg=p_TakeOutComp(&(S->m[0]), 2, r); |
---|
| 2475 | id_Delete(&S, r); |
---|
| 2476 | poly gcd_p=singclap_pdivide(f,gg, r); |
---|
| 2477 | p_Delete(&gg, r); |
---|
[a5d181c] | 2478 | |
---|
[7e6bfe] | 2479 | return gcd_p; |
---|
| 2480 | } |
---|
| 2481 | #endif |
---|
[0f401f] | 2482 | #endif |
---|
| 2483 | |
---|
| 2484 | /*2 |
---|
| 2485 | * xx,q: arrays of length 0..rl-1 |
---|
| 2486 | * xx[i]: SB mod q[i] |
---|
| 2487 | * assume: char=0 |
---|
| 2488 | * assume: q[i]!=0 |
---|
| 2489 | * destroys xx |
---|
| 2490 | */ |
---|
| 2491 | #ifdef HAVE_FACTORY |
---|
[f9591a] | 2492 | ideal id_ChineseRemainder(ideal *xx, number *q, int rl, const ring R) |
---|
[0f401f] | 2493 | { |
---|
| 2494 | int cnt=IDELEMS(xx[0])*xx[0]->nrows; |
---|
| 2495 | ideal result=idInit(cnt,xx[0]->rank); |
---|
| 2496 | result->nrows=xx[0]->nrows; // for lifting matrices |
---|
| 2497 | result->ncols=xx[0]->ncols; // for lifting matrices |
---|
| 2498 | int i,j; |
---|
| 2499 | poly r,h,hh,res_p; |
---|
| 2500 | number *x=(number *)omAlloc(rl*sizeof(number)); |
---|
| 2501 | for(i=cnt-1;i>=0;i--) |
---|
| 2502 | { |
---|
| 2503 | res_p=NULL; |
---|
| 2504 | loop |
---|
| 2505 | { |
---|
| 2506 | r=NULL; |
---|
| 2507 | for(j=rl-1;j>=0;j--) |
---|
| 2508 | { |
---|
| 2509 | h=xx[j]->m[i]; |
---|
| 2510 | if ((h!=NULL) |
---|
[f9591a] | 2511 | &&((r==NULL)||(p_LmCmp(r,h,R)==-1))) |
---|
[0f401f] | 2512 | r=h; |
---|
| 2513 | } |
---|
| 2514 | if (r==NULL) break; |
---|
[f9591a] | 2515 | h=p_Head(r,R); |
---|
[0f401f] | 2516 | for(j=rl-1;j>=0;j--) |
---|
| 2517 | { |
---|
| 2518 | hh=xx[j]->m[i]; |
---|
[f9591a] | 2519 | if ((hh!=NULL) && (p_LmCmp(r,hh,R)==0)) |
---|
[0f401f] | 2520 | { |
---|
| 2521 | x[j]=pGetCoeff(hh); |
---|
[f9591a] | 2522 | hh=p_LmFreeAndNext(hh,R); |
---|
[0f401f] | 2523 | xx[j]->m[i]=hh; |
---|
| 2524 | } |
---|
| 2525 | else |
---|
[f9591a] | 2526 | x[j]=n_Init(0, R->cf); |
---|
[0f401f] | 2527 | } |
---|
[f9591a] | 2528 | number n=n_ChineseRemainder(x,q,rl,R->cf); |
---|
[0f401f] | 2529 | for(j=rl-1;j>=0;j--) |
---|
| 2530 | { |
---|
| 2531 | x[j]=NULL; // nlInit(0...) takes no memory |
---|
| 2532 | } |
---|
[f9591a] | 2533 | if (n_IsZero(n,R->cf)) p_Delete(&h,R); |
---|
[0f401f] | 2534 | else |
---|
| 2535 | { |
---|
[f9591a] | 2536 | p_SetCoeff(h,n,R); |
---|
[0f401f] | 2537 | //Print("new mon:");pWrite(h); |
---|
[f9591a] | 2538 | res_p=p_Add_q(res_p,h,R); |
---|
[0f401f] | 2539 | } |
---|
| 2540 | } |
---|
| 2541 | result->m[i]=res_p; |
---|
| 2542 | } |
---|
| 2543 | omFree(x); |
---|
[f9591a] | 2544 | for(i=rl-1;i>=0;i--) id_Delete(&(xx[i]),R); |
---|
[0f401f] | 2545 | omFree(xx); |
---|
| 2546 | return result; |
---|
| 2547 | } |
---|
| 2548 | #endif |
---|
[f11ea16] | 2549 | |
---|
| 2550 | #if 0 |
---|
| 2551 | /*2 |
---|
| 2552 | * xx,q: arrays of length 0..rl-1 |
---|
| 2553 | * xx[i]: SB mod q[i] |
---|
| 2554 | * assume: char=0 |
---|
| 2555 | * assume: q[i]!=0 |
---|
| 2556 | * destroys xx |
---|
| 2557 | */ |
---|
| 2558 | #ifdef HAVE_FACTORY |
---|
| 2559 | ideal id_ChineseRemainder(ideal *xx, number *q, int rl, const ring R) |
---|
| 2560 | { |
---|
| 2561 | int cnt=IDELEMS(xx[0])*xx[0]->nrows; |
---|
| 2562 | ideal result=idInit(cnt,xx[0]->rank); |
---|
| 2563 | result->nrows=xx[0]->nrows; // for lifting matrices |
---|
| 2564 | result->ncols=xx[0]->ncols; // for lifting matrices |
---|
| 2565 | int i,j; |
---|
| 2566 | poly r,h,hh,res_p; |
---|
| 2567 | number *x=(number *)omAlloc(rl*sizeof(number)); |
---|
| 2568 | for(i=cnt-1;i>=0;i--) |
---|
| 2569 | { |
---|
| 2570 | res_p=NULL; |
---|
| 2571 | loop |
---|
| 2572 | { |
---|
| 2573 | r=NULL; |
---|
| 2574 | for(j=rl-1;j>=0;j--) |
---|
| 2575 | { |
---|
| 2576 | h=xx[j]->m[i]; |
---|
| 2577 | if ((h!=NULL) |
---|
| 2578 | &&((r==NULL)||(p_LmCmp(r,h,R)==-1))) |
---|
| 2579 | r=h; |
---|
| 2580 | } |
---|
| 2581 | if (r==NULL) break; |
---|
| 2582 | h=p_Head(r, R); |
---|
| 2583 | for(j=rl-1;j>=0;j--) |
---|
| 2584 | { |
---|
| 2585 | hh=xx[j]->m[i]; |
---|
| 2586 | if ((hh!=NULL) && (p_LmCmp(r,hh, R)==0)) |
---|
| 2587 | { |
---|
| 2588 | x[j]=p_GetCoeff(hh, R); |
---|
| 2589 | hh=p_LmFreeAndNext(hh, R); |
---|
| 2590 | xx[j]->m[i]=hh; |
---|
| 2591 | } |
---|
| 2592 | else |
---|
| 2593 | x[j]=n_Init(0, R->cf); // is R->cf really n_Q???, yes! |
---|
| 2594 | } |
---|
[a5d181c] | 2595 | |
---|
[7938a0f] | 2596 | number n=n_ChineseRemainder(x,q,rl, R->cf); |
---|
[f11ea16] | 2597 | |
---|
| 2598 | for(j=rl-1;j>=0;j--) |
---|
| 2599 | { |
---|
| 2600 | x[j]=NULL; // nlInit(0...) takes no memory |
---|
| 2601 | } |
---|
| 2602 | if (n_IsZero(n, R->cf)) p_Delete(&h, R); |
---|
| 2603 | else |
---|
| 2604 | { |
---|
| 2605 | p_SetCoeff(h,n, R); |
---|
| 2606 | //Print("new mon:");pWrite(h); |
---|
| 2607 | res_p=p_Add_q(res_p, h, R); |
---|
| 2608 | } |
---|
| 2609 | } |
---|
| 2610 | result->m[i]=res_p; |
---|
| 2611 | } |
---|
| 2612 | omFree(x); |
---|
| 2613 | for(i=rl-1;i>=0;i--) id_Delete(&(xx[i]), R); |
---|
| 2614 | omFree(xx); |
---|
| 2615 | return result; |
---|
| 2616 | } |
---|
| 2617 | #endif |
---|
| 2618 | #endif |
---|
[0f401f] | 2619 | /* currently unsed: |
---|
| 2620 | ideal idChineseRemainder(ideal *xx, intvec *iv) |
---|
| 2621 | { |
---|
| 2622 | int rl=iv->length(); |
---|
| 2623 | number *q=(number *)omAlloc(rl*sizeof(number)); |
---|
| 2624 | int i; |
---|
| 2625 | for(i=0; i<rl; i++) |
---|
| 2626 | { |
---|
| 2627 | q[i]=nInit((*iv)[i]); |
---|
| 2628 | } |
---|
| 2629 | return idChineseRemainder(xx,q,rl); |
---|
| 2630 | } |
---|
| 2631 | */ |
---|
| 2632 | /* |
---|
| 2633 | * lift ideal with coeffs over Z (mod N) to Q via Farey |
---|
| 2634 | */ |
---|
[f9591a] | 2635 | ideal id_Farey(ideal x, number N, const ring r) |
---|
[0f401f] | 2636 | { |
---|
| 2637 | int cnt=IDELEMS(x)*x->nrows; |
---|
| 2638 | ideal result=idInit(cnt,x->rank); |
---|
| 2639 | result->nrows=x->nrows; // for lifting matrices |
---|
| 2640 | result->ncols=x->ncols; // for lifting matrices |
---|
| 2641 | |
---|
| 2642 | int i; |
---|
| 2643 | for(i=cnt-1;i>=0;i--) |
---|
| 2644 | { |
---|
[f9591a] | 2645 | poly h=p_Copy(x->m[i],r); |
---|
[0f401f] | 2646 | result->m[i]=h; |
---|
| 2647 | while(h!=NULL) |
---|
| 2648 | { |
---|
| 2649 | number c=pGetCoeff(h); |
---|
[f9591a] | 2650 | pSetCoeff0(h,n_Farey(c,N,r->cf)); |
---|
| 2651 | n_Delete(&c,r->cf); |
---|
[0f401f] | 2652 | pIter(h); |
---|
| 2653 | } |
---|
[f9591a] | 2654 | while((result->m[i]!=NULL)&&(n_IsZero(pGetCoeff(result->m[i]),r->cf))) |
---|
[0f401f] | 2655 | { |
---|
[f9591a] | 2656 | p_LmDelete(&(result->m[i]),r); |
---|
[0f401f] | 2657 | } |
---|
| 2658 | h=result->m[i]; |
---|
| 2659 | while((h!=NULL) && (pNext(h)!=NULL)) |
---|
| 2660 | { |
---|
[f9591a] | 2661 | if(n_IsZero(pGetCoeff(pNext(h)),r->cf)) |
---|
[0f401f] | 2662 | { |
---|
[f9591a] | 2663 | p_LmDelete(&pNext(h),r); |
---|
[0f401f] | 2664 | } |
---|
| 2665 | else pIter(h); |
---|
| 2666 | } |
---|
| 2667 | } |
---|
| 2668 | return result; |
---|
| 2669 | } |
---|
[38fc181] | 2670 | |
---|
| 2671 | |
---|
| 2672 | |
---|
| 2673 | |
---|
| 2674 | // uses glabl vars via pSetModDeg |
---|
| 2675 | /* |
---|
| 2676 | BOOLEAN idTestHomModule(ideal m, ideal Q, intvec *w) |
---|
| 2677 | { |
---|
| 2678 | if ((Q!=NULL) && (!idHomIdeal(Q,NULL))) { PrintS(" Q not hom\n"); return FALSE;} |
---|
| 2679 | if (idIs0(m)) return TRUE; |
---|
| 2680 | |
---|
| 2681 | int cmax=-1; |
---|
| 2682 | int i; |
---|
| 2683 | poly p=NULL; |
---|
| 2684 | int length=IDELEMS(m); |
---|
| 2685 | poly* P=m->m; |
---|
| 2686 | for (i=length-1;i>=0;i--) |
---|
| 2687 | { |
---|
| 2688 | p=P[i]; |
---|
| 2689 | if (p!=NULL) cmax=si_max(cmax,(int)pMaxComp(p)+1); |
---|
| 2690 | } |
---|
| 2691 | if (w != NULL) |
---|
| 2692 | if (w->length()+1 < cmax) |
---|
| 2693 | { |
---|
| 2694 | // Print("length: %d - %d \n", w->length(),cmax); |
---|
| 2695 | return FALSE; |
---|
| 2696 | } |
---|
| 2697 | |
---|
| 2698 | if(w!=NULL) |
---|
| 2699 | p_SetModDeg(w, currRing); |
---|
| 2700 | |
---|
| 2701 | for (i=length-1;i>=0;i--) |
---|
| 2702 | { |
---|
| 2703 | p=P[i]; |
---|
| 2704 | poly q=p; |
---|
| 2705 | if (p!=NULL) |
---|
| 2706 | { |
---|
| 2707 | int d=p_FDeg(p,currRing); |
---|
| 2708 | loop |
---|
| 2709 | { |
---|
| 2710 | pIter(p); |
---|
| 2711 | if (p==NULL) break; |
---|
| 2712 | if (d!=p_FDeg(p,currRing)) |
---|
| 2713 | { |
---|
| 2714 | //pWrite(q); wrp(p); Print(" -> %d - %d\n",d,pFDeg(p,currRing)); |
---|
| 2715 | if(w!=NULL) |
---|
| 2716 | p_SetModDeg(NULL, currRing); |
---|
| 2717 | return FALSE; |
---|
| 2718 | } |
---|
| 2719 | } |
---|
| 2720 | } |
---|
| 2721 | } |
---|
| 2722 | |
---|
| 2723 | if(w!=NULL) |
---|
| 2724 | p_SetModDeg(NULL, currRing); |
---|
| 2725 | |
---|
| 2726 | return TRUE; |
---|
| 2727 | } |
---|
| 2728 | */ |
---|
| 2729 | |
---|
| 2730 | |
---|
| 2731 | |
---|