[ff7993] | 1 | // -*- Mode: C++; tab-width: 2; indent-tabs-mode: nil; c-basic-offset: 2 -*- |
---|
| 2 | /*****************************************************************************\ |
---|
| 3 | * Computer Algebra System SINGULAR |
---|
| 4 | \*****************************************************************************/ |
---|
| 5 | /** @file syzextra.cc |
---|
| 6 | * |
---|
| 7 | * Here we implement the Computation of Syzygies |
---|
| 8 | * |
---|
| 9 | * ABSTRACT: Computation of Syzygies due to Schreyer |
---|
| 10 | * |
---|
| 11 | * @author Oleksandr Motsak |
---|
| 12 | * |
---|
| 13 | **/ |
---|
| 14 | /*****************************************************************************/ |
---|
| 15 | |
---|
| 16 | // include header file |
---|
| 17 | #include <kernel/mod2.h> |
---|
| 18 | |
---|
| 19 | #include "syzextra.h" |
---|
| 20 | |
---|
[204092] | 21 | #include "DebugPrint.h" |
---|
| 22 | |
---|
[ff7993] | 23 | #include <omalloc/omalloc.h> |
---|
[204092] | 24 | |
---|
| 25 | #include <misc/intvec.h> |
---|
| 26 | #include <misc/options.h> |
---|
| 27 | |
---|
| 28 | #include <coeffs/coeffs.h> |
---|
| 29 | |
---|
[ff7993] | 30 | #include <polys/monomials/p_polys.h> |
---|
[204092] | 31 | #include <polys/monomials/ring.h> |
---|
[9936d6] | 32 | #include <polys/simpleideals.h> |
---|
[ff7993] | 33 | |
---|
[daa4e5] | 34 | #include <polys/kbuckets.h> // for kBucket* |
---|
| 35 | #include <polys/nc/summator.h> // for CPolynomialSummator |
---|
| 36 | #include <polys/operations/p_Mult_q.h> // for MIN_LENGTH_BUCKET |
---|
| 37 | |
---|
[204092] | 38 | #include <kernel/kstd1.h> |
---|
| 39 | #include <kernel/polys.h> |
---|
| 40 | #include <kernel/syz.h> |
---|
[ff7993] | 41 | #include <kernel/ideals.h> |
---|
| 42 | |
---|
[9936d6] | 43 | #include <kernel/timer.h> |
---|
[ff7993] | 44 | |
---|
[204092] | 45 | |
---|
| 46 | #include <Singular/tok.h> |
---|
| 47 | #include <Singular/ipid.h> |
---|
| 48 | #include <Singular/lists.h> |
---|
| 49 | #include <Singular/attrib.h> |
---|
| 50 | |
---|
| 51 | #include <Singular/ipid.h> |
---|
| 52 | #include <Singular/ipshell.h> // For iiAddCproc |
---|
| 53 | |
---|
| 54 | #include <stdio.h> |
---|
| 55 | #include <stdlib.h> |
---|
| 56 | #include <string.h> |
---|
| 57 | |
---|
| 58 | // USING_NAMESPACE_SINGULARXX; |
---|
| 59 | USING_NAMESPACE( SINGULARXXNAME :: DEBUG ) |
---|
| 60 | |
---|
| 61 | |
---|
[ff7993] | 62 | BEGIN_NAMESPACE_SINGULARXX BEGIN_NAMESPACE(SYZEXTRA) |
---|
| 63 | |
---|
[7088f18] | 64 | |
---|
[204092] | 65 | BEGIN_NAMESPACE(SORT_c_ds) |
---|
| 66 | |
---|
| 67 | |
---|
| 68 | #ifdef _GNU_SOURCE |
---|
| 69 | static int cmp_c_ds(const void *p1, const void *p2, void *R) |
---|
| 70 | { |
---|
| 71 | #else |
---|
| 72 | static int cmp_c_ds(const void *p1, const void *p2) |
---|
| 73 | { |
---|
| 74 | void *R = currRing; |
---|
| 75 | #endif |
---|
| 76 | |
---|
| 77 | const int YES = 1; |
---|
| 78 | const int NO = -1; |
---|
| 79 | |
---|
| 80 | const ring r = (const ring) R; // TODO/NOTE: the structure is known: C, lp!!! |
---|
| 81 | |
---|
| 82 | assume( r == currRing ); |
---|
| 83 | |
---|
| 84 | const poly a = *(const poly*)p1; |
---|
| 85 | const poly b = *(const poly*)p2; |
---|
| 86 | |
---|
| 87 | assume( a != NULL ); |
---|
| 88 | assume( b != NULL ); |
---|
| 89 | |
---|
| 90 | assume( p_LmTest(a, r) ); |
---|
| 91 | assume( p_LmTest(b, r) ); |
---|
| 92 | |
---|
| 93 | |
---|
| 94 | const signed long iCompDiff = p_GetComp(a, r) - p_GetComp(b, r); |
---|
| 95 | |
---|
| 96 | // TODO: test this!!!!!!!!!!!!!!!! |
---|
| 97 | |
---|
| 98 | //return -( compare (c, qsorts) ) |
---|
| 99 | |
---|
| 100 | #ifndef NDEBUG |
---|
[4eba3ad] | 101 | const int __DEBUG__ = 0; |
---|
[204092] | 102 | if( __DEBUG__ ) |
---|
| 103 | { |
---|
| 104 | PrintS("cmp_c_ds: a, b: \np1: "); dPrint(a, r, r, 2); |
---|
| 105 | PrintS("b: "); dPrint(b, r, r, 2); |
---|
| 106 | PrintLn(); |
---|
| 107 | } |
---|
| 108 | #endif |
---|
| 109 | |
---|
| 110 | |
---|
| 111 | if( iCompDiff > 0 ) |
---|
| 112 | return YES; |
---|
| 113 | |
---|
| 114 | if( iCompDiff < 0 ) |
---|
| 115 | return NO; |
---|
| 116 | |
---|
| 117 | assume( iCompDiff == 0 ); |
---|
| 118 | |
---|
| 119 | const signed long iDegDiff = p_Totaldegree(a, r) - p_Totaldegree(b, r); |
---|
[ff7993] | 120 | |
---|
[204092] | 121 | if( iDegDiff > 0 ) |
---|
| 122 | return YES; |
---|
| 123 | |
---|
| 124 | if( iDegDiff < 0 ) |
---|
| 125 | return NO; |
---|
| 126 | |
---|
| 127 | assume( iDegDiff == 0 ); |
---|
| 128 | |
---|
| 129 | #ifndef NDEBUG |
---|
| 130 | if( __DEBUG__ ) |
---|
| 131 | { |
---|
| 132 | PrintS("cmp_c_ds: a & b have the same comp & deg! "); PrintLn(); |
---|
| 133 | } |
---|
| 134 | #endif |
---|
| 135 | |
---|
| 136 | for (int v = rVar(r); v > 0; v--) |
---|
| 137 | { |
---|
| 138 | assume( v > 0 ); |
---|
| 139 | assume( v <= rVar(r) ); |
---|
| 140 | |
---|
| 141 | const signed int d = p_GetExp(a, v, r) - p_GetExp(b, v, r); |
---|
| 142 | |
---|
| 143 | if( d > 0 ) |
---|
| 144 | return YES; |
---|
| 145 | |
---|
| 146 | if( d < 0 ) |
---|
| 147 | return NO; |
---|
| 148 | |
---|
| 149 | assume( d == 0 ); |
---|
| 150 | } |
---|
| 151 | |
---|
| 152 | return 0; |
---|
| 153 | } |
---|
| 154 | |
---|
| 155 | END_NAMESPACE |
---|
| 156 | /* namespace SORT_c_ds */ |
---|
| 157 | |
---|
| 158 | /// return a new term: leading coeff * leading monomial of p |
---|
| 159 | /// with 0 leading component! |
---|
[9936d6] | 160 | poly leadmonom(const poly p, const ring r, const bool bSetZeroComp) |
---|
[204092] | 161 | { |
---|
| 162 | poly m = NULL; |
---|
| 163 | |
---|
| 164 | if( p != NULL ) |
---|
| 165 | { |
---|
| 166 | assume( p != NULL ); |
---|
| 167 | assume( p_LmTest(p, r) ); |
---|
| 168 | |
---|
| 169 | m = p_LmInit(p, r); |
---|
| 170 | p_SetCoeff0(m, n_Copy(p_GetCoeff(p, r), r), r); |
---|
| 171 | |
---|
[9936d6] | 172 | if( bSetZeroComp ) |
---|
| 173 | p_SetComp(m, 0, r); |
---|
[204092] | 174 | p_Setm(m, r); |
---|
| 175 | |
---|
[9936d6] | 176 | |
---|
[204092] | 177 | assume( m != NULL ); |
---|
| 178 | assume( pNext(m) == NULL ); |
---|
| 179 | assume( p_LmTest(m, r) ); |
---|
[9936d6] | 180 | |
---|
| 181 | if( bSetZeroComp ) |
---|
| 182 | assume( p_GetComp(m, r) == 0 ); |
---|
[204092] | 183 | } |
---|
| 184 | |
---|
| 185 | return m; |
---|
| 186 | } |
---|
| 187 | |
---|
| 188 | |
---|
| 189 | |
---|
[cd5fefc] | 190 | poly p_Tail(const poly p, const ring r) |
---|
| 191 | { |
---|
| 192 | if( p == NULL) |
---|
| 193 | return NULL; |
---|
| 194 | else |
---|
| 195 | return p_Copy( pNext(p), r ); |
---|
| 196 | } |
---|
| 197 | |
---|
| 198 | |
---|
| 199 | ideal id_Tail(const ideal id, const ring r) |
---|
| 200 | { |
---|
| 201 | if( id == NULL) |
---|
| 202 | return NULL; |
---|
| 203 | |
---|
| 204 | const ideal newid = idInit(IDELEMS(id),id->rank); |
---|
| 205 | |
---|
| 206 | for (int i=IDELEMS(id) - 1; i >= 0; i--) |
---|
| 207 | newid->m[i] = p_Tail( id->m[i], r ); |
---|
| 208 | |
---|
| 209 | newid->rank = id_RankFreeModule(newid, currRing); |
---|
| 210 | |
---|
| 211 | return newid; |
---|
| 212 | } |
---|
| 213 | |
---|
[ff7993] | 214 | |
---|
| 215 | |
---|
[204092] | 216 | void Sort_c_ds(const ideal id, const ring r) |
---|
| 217 | { |
---|
| 218 | const int sizeNew = IDELEMS(id); |
---|
| 219 | |
---|
| 220 | #ifdef _GNU_SOURCE |
---|
| 221 | #define qsort_my(m, s, ss, r, cmp) qsort_r(m, s, ss, cmp, r) |
---|
| 222 | #else |
---|
| 223 | #define qsort_my(m, s, ss, r, cmp) qsort_r(m, s, ss, cmp) |
---|
| 224 | #endif |
---|
| 225 | |
---|
| 226 | if( sizeNew >= 2 ) |
---|
[4eba3ad] | 227 | qsort_my(id->m, sizeNew, sizeof(poly), r, FROM_NAMESPACE(SORT_c_ds, cmp_c_ds)); |
---|
[204092] | 228 | |
---|
| 229 | #undef qsort_my |
---|
| 230 | |
---|
| 231 | id->rank = id_RankFreeModule(id, r); |
---|
| 232 | } |
---|
| 233 | |
---|
[1a4c343] | 234 | /// Clean up all the accumulated data |
---|
| 235 | void SchreyerSyzygyComputation::CleanUp() |
---|
| 236 | { |
---|
[9936d6] | 237 | extern void id_Delete (ideal*, const ring); |
---|
| 238 | |
---|
| 239 | id_Delete(const_cast<ideal*>(&m_idTails), m_rBaseRing); // TODO!!! |
---|
| 240 | } |
---|
[1a4c343] | 241 | /* |
---|
| 242 | for( TTailTerms::const_iterator it = m_idTailTerms.begin(); it != m_idTailTerms.end(); it++ ) |
---|
| 243 | { |
---|
| 244 | const TTail& v = *it; |
---|
| 245 | for(TTail::const_iterator vit = v.begin(); vit != v.end(); vit++ ) |
---|
| 246 | delete const_cast<CTailTerm*>(*vit); |
---|
| 247 | } |
---|
| 248 | */ |
---|
| 249 | |
---|
| 250 | |
---|
| 251 | |
---|
[68fedf] | 252 | int CReducerFinder::PreProcessTerm(const poly t, CReducerFinder& syzChecker) const |
---|
[1a4c343] | 253 | { |
---|
[68fedf] | 254 | assume( t != NULL ); |
---|
[9936d6] | 255 | |
---|
[4ca3e3] | 256 | if( __DEBUG__ & __TAILREDSYZ__ ) |
---|
[68fedf] | 257 | assume( !IsDivisible(t) ); // each input term should NOT be in <L> |
---|
[9936d6] | 258 | |
---|
[68fedf] | 259 | const ring r = m_rBaseRing; |
---|
| 260 | |
---|
| 261 | |
---|
| 262 | if( __TAILREDSYZ__ ) |
---|
| 263 | if( p_LmIsConstant(t, r) ) // most basic case of baing coprime with L, whatever that is... |
---|
| 264 | return 1; // TODO: prove this...? |
---|
| 265 | |
---|
| 266 | // return false; // appears to be fine |
---|
| 267 | |
---|
| 268 | const long comp = p_GetComp(t, r); |
---|
| 269 | |
---|
| 270 | CReducersHash::const_iterator itr = m_hash.find(comp); |
---|
| 271 | |
---|
| 272 | if ( itr == m_hash.end() ) |
---|
| 273 | return 2; // no such leading component!!! |
---|
| 274 | |
---|
| 275 | const bool bIdealCase = (comp == 0); |
---|
[9936d6] | 276 | const bool bSyzCheck = syzChecker.IsNonempty(); // need to check even in ideal case????? proof? "&& !bIdealCase" |
---|
[68fedf] | 277 | |
---|
| 278 | if( __TAILREDSYZ__ && (bIdealCase || bSyzCheck) ) |
---|
| 279 | { |
---|
| 280 | const TReducers& v = itr->second; |
---|
| 281 | const int N = rVar(r); |
---|
| 282 | // TODO: extract exps of t beforehand?! |
---|
| 283 | bool coprime = true; |
---|
| 284 | for(TReducers::const_iterator vit = v.begin(); (vit != v.end()) && coprime; ++vit ) |
---|
| 285 | { |
---|
| 286 | assume( m_L->m[(*vit)->m_label] == (*vit)->m_lt ); |
---|
| 287 | |
---|
| 288 | const poly p = (*vit)->m_lt; |
---|
| 289 | |
---|
| 290 | assume( p_GetComp(p, r) == comp ); |
---|
| 291 | |
---|
[9936d6] | 292 | // TODO: check if coprime with Leads... if __TAILREDSYZ__ ! |
---|
[68fedf] | 293 | for( int var = N; var > 0; --var ) |
---|
| 294 | if( (p_GetExp(p, var, r) != 0) && (p_GetExp(t, var, r) != 0) ) |
---|
| 295 | { |
---|
[da9d52] | 296 | #ifndef NDEBUG |
---|
[4ca3e3] | 297 | if( __DEBUG__ | 0) |
---|
[68fedf] | 298 | { |
---|
| 299 | PrintS("CReducerFinder::PreProcessTerm, 't' is NOT co-prime with the following leading term: \n"); |
---|
| 300 | dPrint(p, r, r, 1); |
---|
| 301 | } |
---|
[da9d52] | 302 | #endif |
---|
[68fedf] | 303 | coprime = false; // t not coprime with p! |
---|
| 304 | break; |
---|
| 305 | } |
---|
| 306 | |
---|
| 307 | if( bSyzCheck && coprime ) |
---|
| 308 | { |
---|
| 309 | poly ss = p_LmInit(t, r); |
---|
[9936d6] | 310 | p_SetCoeff0(ss, n_Init(1, r), r); // for delete & printout only!... |
---|
| 311 | p_SetComp(ss, (*vit)->m_label + 1, r); // coeff? |
---|
[68fedf] | 312 | p_Setm(ss, r); |
---|
| 313 | |
---|
| 314 | coprime = ( syzChecker.IsDivisible(ss) ); |
---|
| 315 | |
---|
[da9d52] | 316 | #ifndef NDEBUG |
---|
[68fedf] | 317 | if( __DEBUG__ && !coprime) |
---|
| 318 | { |
---|
| 319 | PrintS("CReducerFinder::PreProcessTerm, 't' is co-prime with p but may lead to NOT divisible syz.term: \n"); |
---|
| 320 | dPrint(ss, r, r, 1); |
---|
| 321 | } |
---|
[da9d52] | 322 | #endif |
---|
| 323 | |
---|
[68fedf] | 324 | p_LmDelete(&ss, r); // deletes coeff as well??? |
---|
| 325 | } |
---|
[9936d6] | 326 | |
---|
[68fedf] | 327 | } |
---|
| 328 | |
---|
[da9d52] | 329 | #ifndef NDEBUG |
---|
[68fedf] | 330 | if( __DEBUG__ && coprime ) |
---|
| 331 | PrintS("CReducerFinder::PreProcessTerm, the following 't' is 'co-prime' with all of leading terms! \n"); |
---|
[da9d52] | 332 | #endif |
---|
| 333 | |
---|
[68fedf] | 334 | return coprime? 3: 0; // t was coprime with all of leading terms!!! |
---|
| 335 | |
---|
| 336 | } |
---|
| 337 | // return true; // delete the term |
---|
[9936d6] | 338 | |
---|
[68fedf] | 339 | return 0; |
---|
[9936d6] | 340 | } |
---|
| 341 | |
---|
| 342 | |
---|
| 343 | void SchreyerSyzygyComputation::SetUpTailTerms() |
---|
| 344 | { |
---|
| 345 | const ideal idTails = m_idTails; |
---|
[1a4c343] | 346 | assume( idTails != NULL ); |
---|
| 347 | assume( idTails->m != NULL ); |
---|
[9936d6] | 348 | const ring r = m_rBaseRing; |
---|
| 349 | |
---|
[da9d52] | 350 | #ifndef NDEBUG |
---|
[4ca3e3] | 351 | if( __DEBUG__ | 0) |
---|
[68fedf] | 352 | { |
---|
| 353 | PrintS("SchreyerSyzygyComputation::SetUpTailTerms(): Tails: \n"); |
---|
| 354 | dPrint(idTails, r, r, 0); |
---|
| 355 | } |
---|
| 356 | |
---|
| 357 | unsigned long pp[4] = {0,0,0,0}; // count preprocessed terms... |
---|
[da9d52] | 358 | #endif |
---|
[9936d6] | 359 | |
---|
| 360 | for( int p = IDELEMS(idTails) - 1; p >= 0; --p ) |
---|
| 361 | for( poly* tt = &(idTails->m[p]); (*tt) != NULL; ) |
---|
[68fedf] | 362 | { |
---|
| 363 | const poly t = *tt; |
---|
| 364 | const int k = m_div.PreProcessTerm(t, m_checker); // 0..3 |
---|
| 365 | assume( 0 <= k && k <= 3 ); |
---|
[da9d52] | 366 | |
---|
| 367 | #ifndef NDEBUG |
---|
[68fedf] | 368 | pp[k]++; |
---|
[da9d52] | 369 | #endif |
---|
| 370 | |
---|
[68fedf] | 371 | if( k ) |
---|
| 372 | { |
---|
[da9d52] | 373 | #ifndef NDEBUG |
---|
[68fedf] | 374 | if( __DEBUG__) |
---|
| 375 | { |
---|
| 376 | Print("SchreyerSyzygyComputation::SetUpTailTerms(): PP (%d) the following TT: \n", k); |
---|
| 377 | dPrint(t, r, r, 1); |
---|
| 378 | } |
---|
[da9d52] | 379 | #endif |
---|
[9936d6] | 380 | |
---|
[68fedf] | 381 | (*tt) = p_LmDeleteAndNext(t, r); // delete the lead and next... |
---|
| 382 | } |
---|
| 383 | else |
---|
| 384 | tt = &pNext(t); // go next? |
---|
| 385 | |
---|
| 386 | } |
---|
| 387 | |
---|
[da9d52] | 388 | #ifndef NDEBUG |
---|
[4ca3e3] | 389 | if( TEST_OPT_PROT | 1) |
---|
[68fedf] | 390 | Print(" **!!** SchreyerSyzygyComputation::SetUpTailTerms()::PreProcessing(): X: {c: %lu, C: %lu, P: %lu} + %lu\n", pp[1], pp[2], pp[3], pp[0]); |
---|
[da9d52] | 391 | #endif |
---|
| 392 | |
---|
| 393 | #ifndef NDEBUG |
---|
[4ca3e3] | 394 | if( __DEBUG__ | 0) |
---|
[68fedf] | 395 | { |
---|
| 396 | PrintS("SchreyerSyzygyComputation::SetUpTailTerms(): Preprocessed Tails: \n"); |
---|
| 397 | dPrint(idTails, r, r, 0); |
---|
| 398 | } |
---|
[da9d52] | 399 | #endif |
---|
| 400 | |
---|
[9936d6] | 401 | } |
---|
[1a4c343] | 402 | /* |
---|
| 403 | m_idTailTerms.resize( IDELEMS(idTails) ); |
---|
| 404 | |
---|
| 405 | for( unsigned int p = IDELEMS(idTails) - 1; p >= 0; p -- ) |
---|
| 406 | { |
---|
| 407 | TTail& v = m_idTailTerms[p]; |
---|
| 408 | poly t = idTails->m[p]; |
---|
| 409 | v.resize( pLength(t) ); |
---|
| 410 | |
---|
| 411 | unsigned int pp = 0; |
---|
| 412 | |
---|
| 413 | while( t != NULL ) |
---|
| 414 | { |
---|
| 415 | assume( t != NULL ); |
---|
| 416 | // TODO: compute L:t! |
---|
| 417 | // ideal reducers; |
---|
| 418 | // CReducerFinder m_reducers |
---|
| 419 | |
---|
| 420 | CTailTerm* d = v[pp] = new CTailTerm(); |
---|
| 421 | |
---|
| 422 | ++pp; pIter(t); |
---|
| 423 | } |
---|
| 424 | } |
---|
| 425 | */ |
---|
| 426 | |
---|
| 427 | |
---|
| 428 | |
---|
[c7d29b] | 429 | ideal SchreyerSyzygyComputation::Compute1LeadingSyzygyTerms() |
---|
[204092] | 430 | { |
---|
[c7d29b] | 431 | const ideal& id = m_idLeads; |
---|
| 432 | const ring& r = m_rBaseRing; |
---|
[495328] | 433 | // const SchreyerSyzygyComputationFlags& attributes = m_atttributes; |
---|
[c7d29b] | 434 | |
---|
[495328] | 435 | // const BOOLEAN __DEBUG__ = attributes.__DEBUG__; |
---|
[4eba3ad] | 436 | // const BOOLEAN __SYZCHECK__ = attributes.__SYZCHECK__; |
---|
[495328] | 437 | // const BOOLEAN __LEAD2SYZ__ = attributes.__LEAD2SYZ__; |
---|
[4eba3ad] | 438 | // const BOOLEAN __HYBRIDNF__ = attributes.__HYBRIDNF__; |
---|
| 439 | // const BOOLEAN __TAILREDSYZ__ = attributes.__TAILREDSYZ__; |
---|
| 440 | |
---|
[c7d29b] | 441 | assume(!__LEAD2SYZ__); |
---|
[4eba3ad] | 442 | |
---|
[204092] | 443 | // 1. set of components S? |
---|
| 444 | // 2. for each component c from S: set of indices of leading terms |
---|
| 445 | // with this component? |
---|
| 446 | // 3. short exp. vectors for each leading term? |
---|
| 447 | |
---|
| 448 | const int size = IDELEMS(id); |
---|
| 449 | |
---|
| 450 | if( size < 2 ) |
---|
| 451 | { |
---|
| 452 | const ideal newid = idInit(1, 0); newid->m[0] = NULL; // zero ideal... |
---|
| 453 | return newid; |
---|
| 454 | } |
---|
| 455 | |
---|
| 456 | // TODO/NOTE: input is supposed to be (reverse-) sorted wrt "(c,ds)"!?? |
---|
| 457 | |
---|
| 458 | // components should come in groups: count elements in each group |
---|
| 459 | // && estimate the real size!!! |
---|
| 460 | |
---|
| 461 | |
---|
| 462 | // use just a vector instead??? |
---|
| 463 | const ideal newid = idInit( (size * (size-1))/2, size); // maximal size: ideal case! |
---|
| 464 | |
---|
| 465 | int k = 0; |
---|
| 466 | |
---|
| 467 | for (int j = 0; j < size; j++) |
---|
| 468 | { |
---|
| 469 | const poly p = id->m[j]; |
---|
| 470 | assume( p != NULL ); |
---|
| 471 | const int c = p_GetComp(p, r); |
---|
| 472 | |
---|
| 473 | for (int i = j - 1; i >= 0; i--) |
---|
| 474 | { |
---|
| 475 | const poly pp = id->m[i]; |
---|
| 476 | assume( pp != NULL ); |
---|
| 477 | const int cc = p_GetComp(pp, r); |
---|
| 478 | |
---|
| 479 | if( c != cc ) |
---|
| 480 | continue; |
---|
| 481 | |
---|
| 482 | const poly m = p_Init(r); // p_New??? |
---|
| 483 | |
---|
| 484 | // m = LCM(p, pp) / p! // TODO: optimize: knowing the ring structure: (C/lp)! |
---|
| 485 | for (int v = rVar(r); v > 0; v--) |
---|
| 486 | { |
---|
| 487 | assume( v > 0 ); |
---|
| 488 | assume( v <= rVar(r) ); |
---|
| 489 | |
---|
| 490 | const short e1 = p_GetExp(p , v, r); |
---|
| 491 | const short e2 = p_GetExp(pp, v, r); |
---|
| 492 | |
---|
| 493 | if( e1 >= e2 ) |
---|
| 494 | p_SetExp(m, v, 0, r); |
---|
| 495 | else |
---|
| 496 | p_SetExp(m, v, e2 - e1, r); |
---|
| 497 | |
---|
| 498 | } |
---|
| 499 | |
---|
| 500 | assume( (j > i) && (i >= 0) ); |
---|
| 501 | |
---|
| 502 | p_SetComp(m, j + 1, r); |
---|
| 503 | pNext(m) = NULL; |
---|
| 504 | p_SetCoeff0(m, n_Init(1, r->cf), r); // for later... |
---|
| 505 | |
---|
| 506 | p_Setm(m, r); // should not do anything!!! |
---|
| 507 | |
---|
| 508 | newid->m[k++] = m; |
---|
| 509 | } |
---|
| 510 | } |
---|
| 511 | |
---|
| 512 | // if( __DEBUG__ && FALSE ) |
---|
| 513 | // { |
---|
| 514 | // PrintS("ComputeLeadingSyzygyTerms::Temp0: \n"); |
---|
| 515 | // dPrint(newid, r, r, 1); |
---|
| 516 | // } |
---|
| 517 | |
---|
| 518 | // the rest of newid is assumed to be zeroes... |
---|
| 519 | |
---|
| 520 | // simplify(newid, 2 + 32)?? |
---|
| 521 | // sort(newid, "C,ds")[1]??? |
---|
| 522 | id_DelDiv(newid, r); // #define SIMPL_LMDIV 32 |
---|
| 523 | |
---|
| 524 | // if( __DEBUG__ && FALSE ) |
---|
| 525 | // { |
---|
| 526 | // PrintS("ComputeLeadingSyzygyTerms::Temp1: \n"); |
---|
| 527 | // dPrint(newid, r, r, 1); |
---|
| 528 | // } |
---|
| 529 | |
---|
| 530 | idSkipZeroes(newid); // #define SIMPL_NULL 2 |
---|
| 531 | |
---|
| 532 | // if( __DEBUG__ ) |
---|
| 533 | // { |
---|
| 534 | // PrintS("ComputeLeadingSyzygyTerms::Output: \n"); |
---|
| 535 | // dPrint(newid, r, r, 1); |
---|
| 536 | // } |
---|
| 537 | |
---|
| 538 | Sort_c_ds(newid, r); |
---|
| 539 | |
---|
| 540 | return newid; |
---|
| 541 | } |
---|
| 542 | |
---|
[c7d29b] | 543 | ideal SchreyerSyzygyComputation::Compute2LeadingSyzygyTerms() |
---|
[204092] | 544 | { |
---|
[c7d29b] | 545 | const ideal& id = m_idLeads; |
---|
| 546 | const ring& r = m_rBaseRing; |
---|
[495328] | 547 | // const SchreyerSyzygyComputationFlags& attributes = m_atttributes; |
---|
[c7d29b] | 548 | |
---|
[4eba3ad] | 549 | // const BOOLEAN __DEBUG__ = attributes.__DEBUG__; |
---|
| 550 | // const BOOLEAN __SYZCHECK__ = attributes.__SYZCHECK__; |
---|
| 551 | // const BOOLEAN __LEAD2SYZ__ = attributes.__LEAD2SYZ__; |
---|
| 552 | // const BOOLEAN __HYBRIDNF__ = attributes.__HYBRIDNF__; |
---|
[495328] | 553 | // const BOOLEAN __TAILREDSYZ__ = attributes.__TAILREDSYZ__; |
---|
[4eba3ad] | 554 | |
---|
[204092] | 555 | |
---|
| 556 | // 1. set of components S? |
---|
| 557 | // 2. for each component c from S: set of indices of leading terms |
---|
| 558 | // with this component? |
---|
| 559 | // 3. short exp. vectors for each leading term? |
---|
| 560 | |
---|
| 561 | const int size = IDELEMS(id); |
---|
| 562 | |
---|
| 563 | if( size < 2 ) |
---|
| 564 | { |
---|
| 565 | const ideal newid = idInit(1, 1); newid->m[0] = NULL; // zero module... |
---|
| 566 | return newid; |
---|
| 567 | } |
---|
| 568 | |
---|
| 569 | |
---|
[026171] | 570 | // TODO/NOTE: input is supposed to be sorted wrt "C,ds"!?? |
---|
| 571 | |
---|
| 572 | // components should come in groups: count elements in each group |
---|
| 573 | // && estimate the real size!!! |
---|
[204092] | 574 | |
---|
| 575 | |
---|
[026171] | 576 | // use just a vector instead??? |
---|
[204092] | 577 | ideal newid = idInit( (size * (size-1))/2, size); // maximal size: ideal case! |
---|
| 578 | |
---|
| 579 | int k = 0; |
---|
| 580 | |
---|
| 581 | for (int j = 0; j < size; j++) |
---|
| 582 | { |
---|
| 583 | const poly p = id->m[j]; |
---|
| 584 | assume( p != NULL ); |
---|
| 585 | const int c = p_GetComp(p, r); |
---|
| 586 | |
---|
| 587 | for (int i = j - 1; i >= 0; i--) |
---|
| 588 | { |
---|
| 589 | const poly pp = id->m[i]; |
---|
| 590 | assume( pp != NULL ); |
---|
| 591 | const int cc = p_GetComp(pp, r); |
---|
| 592 | |
---|
| 593 | if( c != cc ) |
---|
| 594 | continue; |
---|
| 595 | |
---|
| 596 | // allocate memory & zero it out! |
---|
| 597 | const poly m = p_Init(r); const poly mm = p_Init(r); |
---|
| 598 | |
---|
| 599 | |
---|
| 600 | // m = LCM(p, pp) / p! mm = LCM(p, pp) / pp! |
---|
| 601 | // TODO: optimize: knowing the ring structure: (C/lp)! |
---|
| 602 | |
---|
| 603 | for (int v = rVar(r); v > 0; v--) |
---|
| 604 | { |
---|
| 605 | assume( v > 0 ); |
---|
| 606 | assume( v <= rVar(r) ); |
---|
| 607 | |
---|
| 608 | const short e1 = p_GetExp(p , v, r); |
---|
| 609 | const short e2 = p_GetExp(pp, v, r); |
---|
| 610 | |
---|
| 611 | if( e1 >= e2 ) |
---|
| 612 | p_SetExp(mm, v, e1 - e2, r); // p_SetExp(m, v, 0, r); |
---|
| 613 | else |
---|
| 614 | p_SetExp(m, v, e2 - e1, r); // p_SetExp(mm, v, 0, r); |
---|
| 615 | |
---|
| 616 | } |
---|
| 617 | |
---|
| 618 | assume( (j > i) && (i >= 0) ); |
---|
| 619 | |
---|
| 620 | p_SetComp(m, j + 1, r); |
---|
| 621 | p_SetComp(mm, i + 1, r); |
---|
| 622 | |
---|
| 623 | const number& lc1 = p_GetCoeff(p , r); |
---|
| 624 | const number& lc2 = p_GetCoeff(pp, r); |
---|
| 625 | |
---|
| 626 | number g = n_Lcm( lc1, lc2, r ); |
---|
| 627 | |
---|
| 628 | p_SetCoeff0(m , n_Div(g, lc1, r), r); |
---|
| 629 | p_SetCoeff0(mm, n_Neg(n_Div(g, lc2, r), r), r); |
---|
| 630 | |
---|
| 631 | n_Delete(&g, r); |
---|
| 632 | |
---|
| 633 | p_Setm(m, r); // should not do anything!!! |
---|
| 634 | p_Setm(mm, r); // should not do anything!!! |
---|
| 635 | |
---|
| 636 | pNext(m) = mm; // pNext(mm) = NULL; |
---|
| 637 | |
---|
| 638 | newid->m[k++] = m; |
---|
| 639 | } |
---|
| 640 | } |
---|
| 641 | |
---|
| 642 | // if( __DEBUG__ && FALSE ) |
---|
| 643 | // { |
---|
| 644 | // PrintS("Compute2LeadingSyzygyTerms::Temp0: \n"); |
---|
| 645 | // dPrint(newid, r, r, 1); |
---|
| 646 | // } |
---|
| 647 | |
---|
| 648 | if( !__TAILREDSYZ__ ) |
---|
| 649 | { |
---|
| 650 | // simplify(newid, 2 + 32)?? |
---|
| 651 | // sort(newid, "C,ds")[1]??? |
---|
| 652 | id_DelDiv(newid, r); // #define SIMPL_LMDIV 32 |
---|
| 653 | |
---|
| 654 | // if( __DEBUG__ && FALSE ) |
---|
| 655 | // { |
---|
| 656 | // PrintS("Compute2LeadingSyzygyTerms::Temp1 (deldiv): \n"); |
---|
| 657 | // dPrint(newid, r, r, 1); |
---|
| 658 | // } |
---|
| 659 | } |
---|
| 660 | else |
---|
| 661 | { |
---|
| 662 | // option(redSB); option(redTail); |
---|
| 663 | // TEST_OPT_REDSB |
---|
| 664 | // TEST_OPT_REDTAIL |
---|
| 665 | assume( r == currRing ); |
---|
[31a08c2] | 666 | |
---|
| 667 | BITSET _save_test; SI_SAVE_OPT1(_save_test); |
---|
| 668 | SI_RESTORE_OPT1(Sy_bit(OPT_REDTAIL) | Sy_bit(OPT_REDSB) | _save_test); |
---|
[204092] | 669 | |
---|
| 670 | intvec* w=new intvec(IDELEMS(newid)); |
---|
| 671 | ideal tmp = kStd(newid, currQuotient, isHomog, &w); |
---|
| 672 | delete w; |
---|
| 673 | |
---|
[31a08c2] | 674 | SI_RESTORE_OPT1(_save_test) |
---|
[204092] | 675 | |
---|
| 676 | id_Delete(&newid, r); |
---|
| 677 | newid = tmp; |
---|
| 678 | |
---|
| 679 | // if( __DEBUG__ && FALSE ) |
---|
| 680 | // { |
---|
| 681 | // PrintS("Compute2LeadingSyzygyTerms::Temp1 (std): \n"); |
---|
| 682 | // dPrint(newid, r, r, 1); |
---|
| 683 | // } |
---|
| 684 | |
---|
| 685 | } |
---|
| 686 | |
---|
| 687 | idSkipZeroes(newid); |
---|
| 688 | |
---|
| 689 | Sort_c_ds(newid, r); |
---|
| 690 | |
---|
| 691 | return newid; |
---|
| 692 | } |
---|
| 693 | |
---|
[1cf13b] | 694 | poly SchreyerSyzygyComputation::TraverseNF(const poly a, const poly a2) const |
---|
[c7d29b] | 695 | { |
---|
[1cf13b] | 696 | const ideal& L = m_idLeads; |
---|
| 697 | const ideal& T = m_idTails; |
---|
| 698 | |
---|
| 699 | const ring& R = m_rBaseRing; |
---|
| 700 | |
---|
| 701 | const int r = p_GetComp(a, R) - 1; |
---|
| 702 | |
---|
| 703 | assume( r >= 0 && r < IDELEMS(T) ); |
---|
| 704 | assume( r >= 0 && r < IDELEMS(L) ); |
---|
| 705 | |
---|
| 706 | poly aa = leadmonom(a, R); assume( aa != NULL); // :( |
---|
[daa4e5] | 707 | |
---|
| 708 | |
---|
[1cf13b] | 709 | poly t = TraverseTail(aa, r); |
---|
| 710 | |
---|
| 711 | if( a2 != NULL ) |
---|
| 712 | { |
---|
| 713 | assume( __LEAD2SYZ__ ); |
---|
[c7d29b] | 714 | |
---|
[1cf13b] | 715 | const int r2 = p_GetComp(a2, R) - 1; poly aa2 = leadmonom(a2, R); // :( |
---|
| 716 | |
---|
| 717 | assume( r2 >= 0 && r2 < IDELEMS(T) ); |
---|
| 718 | |
---|
| 719 | t = p_Add_q(a2, p_Add_q(t, TraverseTail(aa2, r2), R), R); |
---|
| 720 | |
---|
| 721 | p_Delete(&aa2, R); |
---|
| 722 | } else |
---|
| 723 | t = p_Add_q(t, ReduceTerm(aa, L->m[r], a), R); |
---|
| 724 | |
---|
| 725 | p_Delete(&aa, R); |
---|
| 726 | |
---|
| 727 | return t; |
---|
| 728 | } |
---|
| 729 | |
---|
| 730 | |
---|
| 731 | void SchreyerSyzygyComputation::ComputeSyzygy() |
---|
| 732 | { |
---|
[c7d29b] | 733 | assume( m_idLeads != NULL ); |
---|
| 734 | assume( m_idTails != NULL ); |
---|
[68fedf] | 735 | |
---|
[c7d29b] | 736 | const ideal& L = m_idLeads; |
---|
| 737 | const ideal& T = m_idTails; |
---|
| 738 | |
---|
| 739 | ideal& TT = m_syzTails; |
---|
| 740 | const ring& R = m_rBaseRing; |
---|
| 741 | |
---|
| 742 | assume( IDELEMS(L) == IDELEMS(T) ); |
---|
[da9d52] | 743 | #ifndef NDEBUG |
---|
[9936d6] | 744 | int t, r; |
---|
[da9d52] | 745 | #endif |
---|
| 746 | |
---|
[5cecde] | 747 | if( m_syzLeads == NULL ) |
---|
[9936d6] | 748 | { |
---|
[da9d52] | 749 | #ifndef NDEBUG |
---|
[4ca3e3] | 750 | if( TEST_OPT_PROT | 1) |
---|
[9936d6] | 751 | { |
---|
[68fedf] | 752 | t = getTimer(); r = getRTimer(); |
---|
| 753 | Print("%5d **!TIME4!** SchreyerSyzygyComputation::ComputeSyzygy::ComputeLeadingSyzygyTerms: t: %d, r: %d\n", r, t, r); |
---|
[9936d6] | 754 | } |
---|
[da9d52] | 755 | #endif |
---|
[1cf13b] | 756 | ComputeLeadingSyzygyTerms( __LEAD2SYZ__ && !__IGNORETAILS__ ); // 2 terms OR 1 term! |
---|
[da9d52] | 757 | #ifndef NDEBUG |
---|
[4ca3e3] | 758 | if( TEST_OPT_PROT | 1) |
---|
[9936d6] | 759 | { |
---|
[68fedf] | 760 | t = getTimer() - t; r = getRTimer() - r; |
---|
| 761 | Print("%5d **!TIME4!** SchreyerSyzygyComputation::ComputeSyzygy::ComputeLeadingSyzygyTerms: dt: %d, dr: %d\n", getRTimer(), t, r); |
---|
[9936d6] | 762 | } |
---|
[da9d52] | 763 | #endif |
---|
| 764 | |
---|
[9936d6] | 765 | } |
---|
[5cecde] | 766 | |
---|
| 767 | assume( m_syzLeads != NULL ); |
---|
[c7d29b] | 768 | ideal& LL = m_syzLeads; |
---|
| 769 | const int size = IDELEMS(LL); |
---|
| 770 | |
---|
| 771 | TT = idInit(size, 0); |
---|
| 772 | |
---|
| 773 | if( size == 1 && LL->m[0] == NULL ) |
---|
| 774 | return; |
---|
[68fedf] | 775 | |
---|
| 776 | // use hybrid method? |
---|
| 777 | const bool method = (__HYBRIDNF__ == 1) || (__HYBRIDNF__ == 2 && __SYZNUMBER__ < 3); |
---|
| 778 | |
---|
[9936d6] | 779 | if( !__IGNORETAILS__) |
---|
| 780 | { |
---|
| 781 | if( T != NULL ) |
---|
| 782 | { |
---|
[da9d52] | 783 | #ifndef NDEBUG |
---|
[4ca3e3] | 784 | if( TEST_OPT_PROT | 1 ) |
---|
[68fedf] | 785 | { |
---|
| 786 | t = getTimer(); r = getRTimer(); |
---|
| 787 | Print("%5d **!TIME4!** SchreyerSyzygyComputation::ComputeSyzygy::SetUpTailTerms(): t: %d, r: %d\n", r, t, r); |
---|
| 788 | } |
---|
[da9d52] | 789 | #endif |
---|
| 790 | |
---|
[68fedf] | 791 | SetUpTailTerms(); |
---|
[da9d52] | 792 | #ifndef NDEBUG |
---|
[4ca3e3] | 793 | if( TEST_OPT_PROT | 1) |
---|
[68fedf] | 794 | { |
---|
| 795 | t = getTimer() - t; r = getRTimer() - r; |
---|
| 796 | Print("%5d **!TIME4!** SchreyerSyzygyComputation::ComputeSyzygy::SetUpTailTerms(): dt: %d, dr: %d\n", getRTimer(), t, r); |
---|
| 797 | } |
---|
[da9d52] | 798 | #endif |
---|
[9936d6] | 799 | } |
---|
| 800 | } |
---|
| 801 | |
---|
[da9d52] | 802 | #ifndef NDEBUG |
---|
[4ca3e3] | 803 | if( TEST_OPT_PROT | 1) |
---|
[68fedf] | 804 | { |
---|
| 805 | t = getTimer(); r = getRTimer(); |
---|
| 806 | Print("%5d **!TIME4!** SchreyerSyzygyComputation::ComputeSyzygy::SyzygyLift: t: %d, r: %d\n", r, t, r); |
---|
| 807 | } |
---|
[da9d52] | 808 | #endif |
---|
| 809 | |
---|
[c7d29b] | 810 | for( int k = size - 1; k >= 0; k-- ) |
---|
| 811 | { |
---|
| 812 | const poly a = LL->m[k]; assume( a != NULL ); |
---|
| 813 | |
---|
| 814 | poly a2 = pNext(a); |
---|
| 815 | |
---|
[dd24e5] | 816 | // Splitting 2-terms Leading syzygy module |
---|
[c7d29b] | 817 | if( a2 != NULL ) |
---|
[e98c64] | 818 | pNext(a) = NULL; |
---|
| 819 | |
---|
| 820 | if( __IGNORETAILS__ ) |
---|
[c7d29b] | 821 | { |
---|
[e98c64] | 822 | TT->m[k] = NULL; |
---|
| 823 | |
---|
[1cf13b] | 824 | assume( a2 != NULL ); |
---|
| 825 | |
---|
[e98c64] | 826 | if( a2 != NULL ) |
---|
| 827 | p_Delete(&a2, R); |
---|
| 828 | |
---|
| 829 | continue; |
---|
[c7d29b] | 830 | } |
---|
| 831 | |
---|
[68fedf] | 832 | // TT->m[k] = a2; |
---|
[e98c64] | 833 | |
---|
[68fedf] | 834 | if( method ) |
---|
| 835 | TT->m[k] = SchreyerSyzygyNF(a, a2); |
---|
| 836 | else |
---|
| 837 | TT->m[k] = TraverseNF(a, a2); |
---|
[c7d29b] | 838 | } |
---|
| 839 | |
---|
[da9d52] | 840 | #ifndef NDEBUG |
---|
[4ca3e3] | 841 | if( TEST_OPT_PROT | 1) |
---|
[68fedf] | 842 | { |
---|
| 843 | t = getTimer() - t; r = getRTimer() - r; |
---|
| 844 | Print("%5d **!TIME4!** SchreyerSyzygyComputation::ComputeSyzygy::SyzygyLift: dt: %d, dr: %d\n", getRTimer(), t, r); |
---|
| 845 | } |
---|
[da9d52] | 846 | #endif |
---|
[9936d6] | 847 | |
---|
| 848 | TT->rank = id_RankFreeModule(TT, R); |
---|
[c7d29b] | 849 | } |
---|
| 850 | |
---|
| 851 | void SchreyerSyzygyComputation::ComputeLeadingSyzygyTerms(bool bComputeSecondTerms) |
---|
| 852 | { |
---|
[495328] | 853 | // const SchreyerSyzygyComputationFlags& attributes = m_atttributes; |
---|
[c7d29b] | 854 | |
---|
[495328] | 855 | // const BOOLEAN __LEAD2SYZ__ = attributes.__LEAD2SYZ__; |
---|
| 856 | // const BOOLEAN __TAILREDSYZ__ = attributes.__TAILREDSYZ__; |
---|
[c7d29b] | 857 | |
---|
[e98c64] | 858 | assume( m_syzLeads == NULL ); |
---|
| 859 | |
---|
[c7d29b] | 860 | if( bComputeSecondTerms ) |
---|
[026171] | 861 | { |
---|
| 862 | assume( __LEAD2SYZ__ ); |
---|
[c7d29b] | 863 | // m_syzLeads = FROM_NAMESPACE(INTERNAL, _Compute2LeadingSyzygyTerms(m_idLeads, m_rBaseRing, m_atttributes)); |
---|
| 864 | m_syzLeads = Compute2LeadingSyzygyTerms(); |
---|
[026171] | 865 | } |
---|
[c7d29b] | 866 | else |
---|
[026171] | 867 | { |
---|
| 868 | assume( !__LEAD2SYZ__ ); |
---|
| 869 | |
---|
[c7d29b] | 870 | m_syzLeads = Compute1LeadingSyzygyTerms(); |
---|
[026171] | 871 | } |
---|
[c7d29b] | 872 | // m_syzLeads = FROM_NAMESPACE(INTERNAL, _ComputeLeadingSyzygyTerms(m_idLeads, m_rBaseRing, m_atttributes)); |
---|
| 873 | |
---|
| 874 | // NOTE: set m_LS if tails are to be reduced! |
---|
[5cecde] | 875 | assume( m_syzLeads!= NULL ); |
---|
[c7d29b] | 876 | |
---|
[c81423] | 877 | if (__TAILREDSYZ__ && !__IGNORETAILS__ && (IDELEMS(m_syzLeads) > 0) && !((IDELEMS(m_syzLeads) == 1) && (m_syzLeads->m[0] == NULL))) |
---|
[5cecde] | 878 | { |
---|
[c7d29b] | 879 | m_LS = m_syzLeads; |
---|
[5cecde] | 880 | m_checker.Initialize(m_syzLeads); |
---|
[c81423] | 881 | #ifndef NDEBUG |
---|
| 882 | if( __DEBUG__ ) |
---|
| 883 | { |
---|
| 884 | const ring& r = m_rBaseRing; |
---|
| 885 | PrintS("SchreyerSyzygyComputation::ComputeLeadingSyzygyTerms: \n"); |
---|
| 886 | PrintS("m_syzLeads: \n"); |
---|
| 887 | dPrint(m_syzLeads, r, r, 1); |
---|
| 888 | PrintS("m_checker.Initialize(m_syzLeads) => \n"); |
---|
| 889 | m_checker.DebugPrint(); |
---|
| 890 | } |
---|
| 891 | #endif |
---|
[e98c64] | 892 | assume( m_checker.IsNonempty() ); // TODO: this always fails... BUG???? |
---|
[5cecde] | 893 | } |
---|
[c7d29b] | 894 | } |
---|
| 895 | |
---|
[1cf13b] | 896 | #define NOPRODUCT 1 |
---|
[c7d29b] | 897 | |
---|
[1cf13b] | 898 | poly SchreyerSyzygyComputation::SchreyerSyzygyNF(const poly syz_lead, poly syz_2) const |
---|
| 899 | { |
---|
| 900 | |
---|
[e98c64] | 901 | assume( !__IGNORETAILS__ ); |
---|
| 902 | |
---|
[c7d29b] | 903 | const ideal& L = m_idLeads; |
---|
| 904 | const ideal& T = m_idTails; |
---|
| 905 | const ring& r = m_rBaseRing; |
---|
[204092] | 906 | |
---|
| 907 | assume( syz_lead != NULL ); |
---|
[1cf13b] | 908 | |
---|
| 909 | if( syz_2 == NULL ) |
---|
| 910 | { |
---|
| 911 | const int rr = p_GetComp(syz_lead, r) - 1; |
---|
| 912 | |
---|
| 913 | assume( rr >= 0 && rr < IDELEMS(T) ); |
---|
| 914 | assume( rr >= 0 && rr < IDELEMS(L) ); |
---|
| 915 | |
---|
| 916 | |
---|
| 917 | #if NOPRODUCT |
---|
| 918 | syz_2 = m_div.FindReducer(syz_lead, L->m[rr], syz_lead, m_checker); |
---|
| 919 | #else |
---|
| 920 | poly aa = leadmonom(syz_lead, r); assume( aa != NULL); // :( |
---|
| 921 | aa = p_Mult_mm(aa, L->m[rr], r); |
---|
| 922 | |
---|
| 923 | syz_2 = m_div.FindReducer(aa, syz_lead, m_checker); |
---|
| 924 | |
---|
| 925 | p_Delete(&aa, r); |
---|
| 926 | #endif |
---|
| 927 | |
---|
| 928 | assume( syz_2 != NULL ); // by construction of S-Polynomial |
---|
| 929 | } |
---|
| 930 | |
---|
| 931 | |
---|
| 932 | |
---|
[204092] | 933 | assume( syz_2 != NULL ); |
---|
| 934 | |
---|
| 935 | assume( L != NULL ); |
---|
| 936 | assume( T != NULL ); |
---|
| 937 | |
---|
| 938 | assume( IDELEMS(L) == IDELEMS(T) ); |
---|
| 939 | |
---|
| 940 | int c = p_GetComp(syz_lead, r) - 1; |
---|
| 941 | |
---|
| 942 | assume( c >= 0 && c < IDELEMS(T) ); |
---|
[daa4e5] | 943 | kBucket_pt bucket = kBucketCreate(r); kbTest(bucket); |
---|
[204092] | 944 | |
---|
[daa4e5] | 945 | // kBucketInit(bucket, NULL, 0); // not needed!? |
---|
| 946 | |
---|
[204092] | 947 | poly p = leadmonom(syz_lead, r); // :( |
---|
[daa4e5] | 948 | // poly spoly = pp_Mult_qq(p, T->m[c], r); |
---|
| 949 | kBucket_Plus_mm_Mult_pp(bucket, p, T->m[c], pLength(T->m[c])); // TODO: store length of tails separately!? |
---|
| 950 | kbTest(bucket); |
---|
[204092] | 951 | p_Delete(&p, r); |
---|
| 952 | |
---|
| 953 | c = p_GetComp(syz_2, r) - 1; |
---|
| 954 | assume( c >= 0 && c < IDELEMS(T) ); |
---|
| 955 | |
---|
| 956 | p = leadmonom(syz_2, r); // :( |
---|
[daa4e5] | 957 | // spoly = p_Add_q(spoly, pp_Mult_qq(p, T->m[c], r), r); |
---|
| 958 | kBucket_Plus_mm_Mult_pp(bucket, p, T->m[c], pLength(T->m[c])); |
---|
| 959 | kbTest(bucket); |
---|
[204092] | 960 | p_Delete(&p, r); |
---|
| 961 | |
---|
[daa4e5] | 962 | // TODO: use bucket!? |
---|
| 963 | const bool bUsePolynomial = TEST_OPT_NOT_BUCKETS; // || (pLength(spoly) < MIN_LENGTH_BUCKET); |
---|
| 964 | CPolynomialSummator tail(r, bUsePolynomial); |
---|
| 965 | tail.AddAndDelete(syz_2, 1); |
---|
[204092] | 966 | |
---|
[daa4e5] | 967 | |
---|
| 968 | kbTest(bucket); |
---|
| 969 | for( poly spoly = kBucketExtractLm(bucket); spoly != NULL; p_LmDelete(&spoly, r), spoly = kBucketExtractLm(bucket)) |
---|
| 970 | { |
---|
| 971 | kbTest(bucket); |
---|
| 972 | poly t = m_div.FindReducer(spoly, NULL, m_checker); |
---|
[204092] | 973 | |
---|
| 974 | if( t != NULL ) |
---|
| 975 | { |
---|
| 976 | p = leadmonom(t, r); // :( |
---|
| 977 | c = p_GetComp(t, r) - 1; |
---|
| 978 | |
---|
| 979 | assume( c >= 0 && c < IDELEMS(T) ); |
---|
| 980 | |
---|
[daa4e5] | 981 | kBucket_Plus_mm_Mult_pp(bucket, p, T->m[c], pLength(T->m[c])); |
---|
| 982 | // spoly = p_Add_q(spoly, pp_Mult_qq(p, T->m[c], r), r); |
---|
[204092] | 983 | |
---|
| 984 | p_Delete(&p, r); |
---|
| 985 | |
---|
[daa4e5] | 986 | tail.AddAndDelete(t, 1); |
---|
| 987 | } // otherwise discard that leading term altogether! |
---|
| 988 | kbTest(bucket); |
---|
[204092] | 989 | } |
---|
| 990 | |
---|
[daa4e5] | 991 | // now bucket must be empty! |
---|
| 992 | kbTest(bucket); |
---|
| 993 | assume( kBucketClear(bucket) == NULL ); |
---|
| 994 | kBucketDestroy(&bucket); // TODO: reuse the bucket!!! |
---|
| 995 | |
---|
[204092] | 996 | return tail; |
---|
| 997 | } |
---|
| 998 | |
---|
[1cf13b] | 999 | poly SchreyerSyzygyComputation::TraverseTail(poly multiplier, const int tail) const |
---|
| 1000 | { |
---|
| 1001 | // TODO: store (multiplier, tail) -.-^-.-^-.--> ! |
---|
| 1002 | assume(m_idTails != NULL && m_idTails->m != NULL); |
---|
| 1003 | assume( tail >= 0 && tail < IDELEMS(m_idTails) ); |
---|
| 1004 | |
---|
[9936d6] | 1005 | const poly t = m_idTails->m[tail]; // !!! |
---|
[1cf13b] | 1006 | |
---|
| 1007 | if(t != NULL) |
---|
| 1008 | return TraverseTail(multiplier, t); |
---|
| 1009 | |
---|
| 1010 | return NULL; |
---|
| 1011 | } |
---|
| 1012 | |
---|
[204092] | 1013 | |
---|
[c7d29b] | 1014 | poly SchreyerSyzygyComputation::TraverseTail(poly multiplier, poly tail) const |
---|
[204092] | 1015 | { |
---|
[e98c64] | 1016 | assume( !__IGNORETAILS__ ); |
---|
| 1017 | |
---|
[c7d29b] | 1018 | const ideal& L = m_idLeads; |
---|
| 1019 | const ideal& T = m_idTails; |
---|
| 1020 | const ring& r = m_rBaseRing; |
---|
[204092] | 1021 | |
---|
[c7d29b] | 1022 | assume( multiplier != NULL ); |
---|
[204092] | 1023 | |
---|
[c7d29b] | 1024 | assume( L != NULL ); |
---|
| 1025 | assume( T != NULL ); |
---|
[204092] | 1026 | |
---|
| 1027 | |
---|
[026171] | 1028 | if( (!__TAILREDSYZ__) || m_lcm.Check(multiplier) ) |
---|
[daa4e5] | 1029 | { |
---|
| 1030 | const bool bUsePolynomial = TEST_OPT_NOT_BUCKETS; // || (pLength(tail) < MIN_LENGTH_BUCKET); |
---|
| 1031 | CPolynomialSummator sum(r, bUsePolynomial); |
---|
| 1032 | // poly s = NULL; |
---|
[026171] | 1033 | for(poly p = tail; p != NULL; p = pNext(p)) // iterate over the tail |
---|
[daa4e5] | 1034 | sum += ReduceTerm(multiplier, p, NULL); |
---|
| 1035 | return sum; |
---|
| 1036 | } |
---|
| 1037 | |
---|
| 1038 | return NULL; |
---|
[204092] | 1039 | |
---|
[c7d29b] | 1040 | } |
---|
[204092] | 1041 | |
---|
| 1042 | |
---|
| 1043 | |
---|
| 1044 | |
---|
[c7d29b] | 1045 | poly SchreyerSyzygyComputation::ReduceTerm(poly multiplier, poly term4reduction, poly syztermCheck) const |
---|
| 1046 | { |
---|
[e98c64] | 1047 | assume( !__IGNORETAILS__ ); |
---|
| 1048 | |
---|
[c7d29b] | 1049 | const ideal& L = m_idLeads; |
---|
| 1050 | const ideal& T = m_idTails; |
---|
| 1051 | const ring& r = m_rBaseRing; |
---|
[204092] | 1052 | |
---|
[c7d29b] | 1053 | assume( multiplier != NULL ); |
---|
| 1054 | assume( term4reduction != NULL ); |
---|
[204092] | 1055 | |
---|
| 1056 | |
---|
[c7d29b] | 1057 | assume( L != NULL ); |
---|
| 1058 | assume( T != NULL ); |
---|
[204092] | 1059 | |
---|
[c7d29b] | 1060 | // simple implementation with FindReducer: |
---|
| 1061 | poly s = NULL; |
---|
[204092] | 1062 | |
---|
[026171] | 1063 | if( (!__TAILREDSYZ__) || m_lcm.Check(multiplier) ) |
---|
[c7d29b] | 1064 | { |
---|
[1cf13b] | 1065 | #if NOPRODUCT |
---|
| 1066 | s = m_div.FindReducer(multiplier, term4reduction, syztermCheck, m_checker); |
---|
| 1067 | #else |
---|
[c7d29b] | 1068 | // NOTE: only LT(term4reduction) should be used in the following: |
---|
| 1069 | poly product = pp_Mult_mm(multiplier, term4reduction, r); |
---|
[5cecde] | 1070 | s = m_div.FindReducer(product, syztermCheck, m_checker); |
---|
[c7d29b] | 1071 | p_Delete(&product, r); |
---|
[1cf13b] | 1072 | #endif |
---|
[204092] | 1073 | } |
---|
| 1074 | |
---|
[c7d29b] | 1075 | if( s == NULL ) // No Reducer? |
---|
| 1076 | return s; |
---|
[7088f18] | 1077 | |
---|
[c7d29b] | 1078 | poly b = leadmonom(s, r); |
---|
[7088f18] | 1079 | |
---|
[c7d29b] | 1080 | const int c = p_GetComp(s, r) - 1; |
---|
| 1081 | assume( c >= 0 && c < IDELEMS(T) ); |
---|
[4eba3ad] | 1082 | |
---|
[1cf13b] | 1083 | const poly t = TraverseTail(b, c); // T->m[c]; |
---|
[7088f18] | 1084 | |
---|
[1cf13b] | 1085 | if( t != NULL ) |
---|
| 1086 | s = p_Add_q(s, t, r); |
---|
[204092] | 1087 | |
---|
[c7d29b] | 1088 | return s; |
---|
[4eba3ad] | 1089 | } |
---|
| 1090 | |
---|
[204092] | 1091 | |
---|
[ff7993] | 1092 | |
---|
| 1093 | |
---|
[4eba3ad] | 1094 | |
---|
| 1095 | BEGIN_NAMESPACE_NONAME |
---|
| 1096 | |
---|
[026171] | 1097 | static inline int atGetInt(idhdl rootRingHdl, const char* attribute, long def) |
---|
[7088f18] | 1098 | { |
---|
[4eba3ad] | 1099 | return ((int)(long)(atGet(rootRingHdl, attribute, INT_CMD, (void*)def))); |
---|
| 1100 | } |
---|
| 1101 | |
---|
| 1102 | END_NAMESPACE |
---|
| 1103 | |
---|
| 1104 | SchreyerSyzygyComputationFlags::SchreyerSyzygyComputationFlags(idhdl rootRingHdl): |
---|
| 1105 | #ifndef NDEBUG |
---|
[68fedf] | 1106 | __DEBUG__( atGetInt(rootRingHdl,"DEBUG", 0) ), |
---|
[4eba3ad] | 1107 | #else |
---|
[68fedf] | 1108 | __DEBUG__( atGetInt(rootRingHdl,"DEBUG", 0) ), |
---|
[4eba3ad] | 1109 | #endif |
---|
[495328] | 1110 | // __SYZCHECK__( (BOOLEAN)atGetInt(rootRingHdl, "SYZCHECK", __DEBUG__) ), |
---|
[68fedf] | 1111 | __LEAD2SYZ__( atGetInt(rootRingHdl, "LEAD2SYZ", 1) ), |
---|
| 1112 | __TAILREDSYZ__( atGetInt(rootRingHdl, "TAILREDSYZ", 1) ), |
---|
| 1113 | __HYBRIDNF__( atGetInt(rootRingHdl, "HYBRIDNF", 2) ), |
---|
| 1114 | __IGNORETAILS__( atGetInt(rootRingHdl, "IGNORETAILS", 0) ), |
---|
| 1115 | __SYZNUMBER__( atGetInt(rootRingHdl, "SYZNUMBER", 0) ), |
---|
[495328] | 1116 | m_rBaseRing( rootRingHdl->data.uring ) |
---|
[4eba3ad] | 1117 | { |
---|
[da9d52] | 1118 | #ifndef NDEBUG |
---|
[4eba3ad] | 1119 | if( __DEBUG__ ) |
---|
| 1120 | { |
---|
| 1121 | PrintS("SchreyerSyzygyComputationFlags: \n"); |
---|
[e98c64] | 1122 | Print(" DEBUG: \t%d\n", __DEBUG__); |
---|
[495328] | 1123 | // Print(" SYZCHECK : \t%d\n", __SYZCHECK__); |
---|
[e98c64] | 1124 | Print(" LEAD2SYZ: \t%d\n", __LEAD2SYZ__); |
---|
[4eba3ad] | 1125 | Print(" TAILREDSYZ: \t%d\n", __TAILREDSYZ__); |
---|
[e98c64] | 1126 | Print(" IGNORETAILS: \t%d\n", __IGNORETAILS__); |
---|
[4eba3ad] | 1127 | } |
---|
[da9d52] | 1128 | #endif |
---|
| 1129 | |
---|
[4eba3ad] | 1130 | // TODO: just current setting! |
---|
| 1131 | assume( rootRingHdl == currRingHdl ); |
---|
| 1132 | assume( rootRingHdl->typ == RING_CMD ); |
---|
[495328] | 1133 | assume( m_rBaseRing == currRing ); |
---|
[4eba3ad] | 1134 | // move the global ring here inside??? |
---|
[7088f18] | 1135 | } |
---|
[ff7993] | 1136 | |
---|
[7088f18] | 1137 | |
---|
[ff7993] | 1138 | |
---|
[1a4c343] | 1139 | CLeadingTerm::CLeadingTerm(unsigned int _label, const poly _lt, const ring R): |
---|
[495328] | 1140 | m_sev( p_GetShortExpVector(_lt, R) ), m_label( _label ), m_lt( _lt ) |
---|
| 1141 | { } |
---|
| 1142 | |
---|
| 1143 | |
---|
| 1144 | CReducerFinder::~CReducerFinder() |
---|
| 1145 | { |
---|
| 1146 | for( CReducersHash::const_iterator it = m_hash.begin(); it != m_hash.end(); it++ ) |
---|
| 1147 | { |
---|
| 1148 | const TReducers& v = it->second; |
---|
| 1149 | for(TReducers::const_iterator vit = v.begin(); vit != v.end(); vit++ ) |
---|
| 1150 | delete const_cast<CLeadingTerm*>(*vit); |
---|
| 1151 | } |
---|
| 1152 | } |
---|
| 1153 | |
---|
[5cecde] | 1154 | |
---|
| 1155 | void CReducerFinder::Initialize(const ideal L) |
---|
| 1156 | { |
---|
| 1157 | assume( m_L == NULL || m_L == L ); |
---|
| 1158 | if( m_L == NULL ) |
---|
| 1159 | m_L = L; |
---|
| 1160 | |
---|
| 1161 | assume( m_L == L ); |
---|
| 1162 | |
---|
| 1163 | if( L != NULL ) |
---|
| 1164 | { |
---|
| 1165 | const ring& R = m_rBaseRing; |
---|
| 1166 | assume( R != NULL ); |
---|
| 1167 | |
---|
| 1168 | for( int k = IDELEMS(L) - 1; k >= 0; k-- ) |
---|
| 1169 | { |
---|
| 1170 | const poly a = L->m[k]; // assume( a != NULL ); |
---|
| 1171 | |
---|
| 1172 | // NOTE: label is k \in 0 ... |L|-1!!! |
---|
| 1173 | if( a != NULL ) |
---|
| 1174 | m_hash[p_GetComp(a, R)].push_back( new CLeadingTerm(k, a, R) ); |
---|
| 1175 | } |
---|
| 1176 | } |
---|
| 1177 | } |
---|
| 1178 | |
---|
| 1179 | CReducerFinder::CReducerFinder(const ideal L, const SchreyerSyzygyComputationFlags& flags): |
---|
| 1180 | SchreyerSyzygyComputationFlags(flags), |
---|
| 1181 | m_L(const_cast<ideal>(L)), // for debug anyway |
---|
[495328] | 1182 | m_hash() |
---|
| 1183 | { |
---|
[5cecde] | 1184 | assume( flags.m_rBaseRing == m_rBaseRing ); |
---|
| 1185 | if( L != NULL ) |
---|
| 1186 | Initialize(L); |
---|
| 1187 | } |
---|
[495328] | 1188 | |
---|
[1a4c343] | 1189 | /// _p_LmDivisibleByNoComp for a | b*c |
---|
| 1190 | static inline BOOLEAN _p_LmDivisibleByNoComp(const poly a, const poly b, const poly c, const ring r) |
---|
| 1191 | { |
---|
| 1192 | int i=r->VarL_Size - 1; |
---|
| 1193 | unsigned long divmask = r->divmask; |
---|
| 1194 | unsigned long la, lb; |
---|
| 1195 | |
---|
| 1196 | if (r->VarL_LowIndex >= 0) |
---|
| 1197 | { |
---|
| 1198 | i += r->VarL_LowIndex; |
---|
| 1199 | do |
---|
| 1200 | { |
---|
| 1201 | la = a->exp[i]; |
---|
| 1202 | lb = b->exp[i] + c->exp[i]; |
---|
| 1203 | if ((la > lb) || |
---|
| 1204 | (((la & divmask) ^ (lb & divmask)) != ((lb - la) & divmask))) |
---|
| 1205 | { |
---|
| 1206 | pDivAssume(p_DebugLmDivisibleByNoComp(a, b, r) == FALSE); |
---|
| 1207 | return FALSE; |
---|
| 1208 | } |
---|
| 1209 | i--; |
---|
| 1210 | } |
---|
| 1211 | while (i>=r->VarL_LowIndex); |
---|
| 1212 | } |
---|
| 1213 | else |
---|
| 1214 | { |
---|
| 1215 | do |
---|
| 1216 | { |
---|
| 1217 | la = a->exp[r->VarL_Offset[i]]; |
---|
| 1218 | lb = b->exp[r->VarL_Offset[i]] + c->exp[r->VarL_Offset[i]]; |
---|
| 1219 | if ((la > lb) || |
---|
| 1220 | (((la & divmask) ^ (lb & divmask)) != ((lb - la) & divmask))) |
---|
| 1221 | { |
---|
| 1222 | pDivAssume(p_DebugLmDivisibleByNoComp(a, b, r) == FALSE); |
---|
| 1223 | return FALSE; |
---|
| 1224 | } |
---|
| 1225 | i--; |
---|
| 1226 | } |
---|
| 1227 | while (i>=0); |
---|
| 1228 | } |
---|
| 1229 | #ifdef HAVE_RINGS |
---|
| 1230 | assume( !rField_is_Ring(r) ); // not implemented for rings...! |
---|
| 1231 | #endif |
---|
| 1232 | return TRUE; |
---|
| 1233 | } |
---|
| 1234 | |
---|
| 1235 | bool CLeadingTerm::DivisibilityCheck(const poly product, const unsigned long not_sev, const ring r) const |
---|
| 1236 | { |
---|
| 1237 | const poly p = m_lt; |
---|
| 1238 | |
---|
| 1239 | assume( p_GetComp(p, r) == p_GetComp(product, r) ); |
---|
| 1240 | |
---|
| 1241 | const int k = m_label; |
---|
| 1242 | |
---|
| 1243 | // assume( m_L->m[k] == p ); |
---|
| 1244 | |
---|
| 1245 | const unsigned long p_sev = m_sev; |
---|
| 1246 | |
---|
| 1247 | assume( p_sev == p_GetShortExpVector(p, r) ); |
---|
| 1248 | |
---|
| 1249 | return p_LmShortDivisibleByNoComp(p, p_sev, product, not_sev, r); |
---|
| 1250 | |
---|
| 1251 | } |
---|
| 1252 | |
---|
| 1253 | /// as DivisibilityCheck(multiplier * t, ...) for monomial 'm' |
---|
| 1254 | /// and a module term 't' |
---|
| 1255 | bool CLeadingTerm::DivisibilityCheck(const poly m, const poly t, const unsigned long not_sev, const ring r) const |
---|
| 1256 | { |
---|
| 1257 | const poly p = m_lt; |
---|
| 1258 | |
---|
| 1259 | assume( p_GetComp(p, r) == p_GetComp(t, r) ); |
---|
[6bfd78] | 1260 | // assume( p_GetComp(m, r) == 0 ); |
---|
[1a4c343] | 1261 | |
---|
| 1262 | // const int k = m_label; |
---|
| 1263 | // assume( m_L->m[k] == p ); |
---|
| 1264 | |
---|
| 1265 | const unsigned long p_sev = m_sev; |
---|
| 1266 | assume( p_sev == p_GetShortExpVector(p, r) ); |
---|
| 1267 | |
---|
| 1268 | if (p_sev & not_sev) |
---|
| 1269 | return false; |
---|
| 1270 | |
---|
| 1271 | return _p_LmDivisibleByNoComp(p, m, t, r); |
---|
| 1272 | |
---|
| 1273 | // return p_LmShortDivisibleByNoComp(p, p_sev, product, not_sev, r); |
---|
| 1274 | |
---|
| 1275 | } |
---|
[495328] | 1276 | |
---|
[6bfd78] | 1277 | |
---|
| 1278 | |
---|
| 1279 | /// TODO: |
---|
| 1280 | class CDivisorEnumerator: public SchreyerSyzygyComputationFlags |
---|
| 1281 | { |
---|
| 1282 | private: |
---|
| 1283 | const CReducerFinder& m_reds; |
---|
| 1284 | const poly m_product; |
---|
| 1285 | const unsigned long m_not_sev; |
---|
[4ca3e3] | 1286 | const long m_comp; |
---|
[6bfd78] | 1287 | |
---|
| 1288 | CReducerFinder::CReducersHash::const_iterator m_itr; |
---|
| 1289 | CReducerFinder::TReducers::const_iterator m_current, m_finish; |
---|
| 1290 | |
---|
| 1291 | bool m_active; |
---|
| 1292 | |
---|
| 1293 | public: |
---|
| 1294 | CDivisorEnumerator(const CReducerFinder& self, const poly product): |
---|
| 1295 | SchreyerSyzygyComputationFlags(self), |
---|
| 1296 | m_reds(self), |
---|
| 1297 | m_product(product), |
---|
| 1298 | m_not_sev(~p_GetShortExpVector(product, m_rBaseRing)), |
---|
| 1299 | m_comp(p_GetComp(product, m_rBaseRing)), |
---|
| 1300 | m_itr(), m_current(), m_finish(), |
---|
| 1301 | m_active(false) |
---|
| 1302 | { |
---|
| 1303 | assume( m_comp >= 0 ); |
---|
| 1304 | assume( m_reds.m_L != NULL ); |
---|
| 1305 | } |
---|
| 1306 | |
---|
| 1307 | inline bool Reset() |
---|
| 1308 | { |
---|
| 1309 | m_active = false; |
---|
| 1310 | |
---|
| 1311 | m_itr = m_reds.m_hash.find(m_comp); |
---|
| 1312 | |
---|
| 1313 | if( m_itr == m_reds.m_hash.end() ) |
---|
| 1314 | return false; |
---|
| 1315 | |
---|
| 1316 | assume( m_itr->first == m_comp ); |
---|
| 1317 | |
---|
| 1318 | m_current = (m_itr->second).begin(); |
---|
| 1319 | m_finish = (m_itr->second).end(); |
---|
| 1320 | |
---|
| 1321 | if (m_current == m_finish) |
---|
| 1322 | return false; |
---|
| 1323 | |
---|
| 1324 | // m_active = true; |
---|
| 1325 | return true; |
---|
| 1326 | } |
---|
| 1327 | |
---|
| 1328 | const CLeadingTerm& Current() const |
---|
| 1329 | { |
---|
| 1330 | assume( m_active ); |
---|
| 1331 | assume( m_current != m_finish ); |
---|
| 1332 | |
---|
| 1333 | return *(*m_current); |
---|
| 1334 | } |
---|
| 1335 | |
---|
| 1336 | inline bool MoveNext() |
---|
| 1337 | { |
---|
| 1338 | assume( m_current != m_finish ); |
---|
| 1339 | |
---|
| 1340 | if( m_active ) |
---|
| 1341 | ++m_current; |
---|
| 1342 | else |
---|
| 1343 | m_active = true; // for Current() |
---|
| 1344 | |
---|
| 1345 | // looking for the next good entry |
---|
| 1346 | for( ; m_current != m_finish; ++m_current ) |
---|
| 1347 | { |
---|
| 1348 | assume( m_reds.m_L->m[Current().m_label] == Current().m_lt ); |
---|
| 1349 | |
---|
| 1350 | if( Current().DivisibilityCheck(m_product, m_not_sev, m_rBaseRing) ) |
---|
| 1351 | { |
---|
[da9d52] | 1352 | #ifndef NDEBUG |
---|
[6bfd78] | 1353 | if( __DEBUG__ ) |
---|
| 1354 | { |
---|
| 1355 | Print("CDivisorEnumerator::MoveNext::est LS: q is divisible by LS[%d] !:((, diviser is: ", 1 + Current().m_label); |
---|
| 1356 | dPrint(Current().m_lt, m_rBaseRing, m_rBaseRing, 1); |
---|
| 1357 | } |
---|
[da9d52] | 1358 | #endif |
---|
[6bfd78] | 1359 | // m_active = true; |
---|
| 1360 | return true; |
---|
| 1361 | } |
---|
| 1362 | } |
---|
| 1363 | |
---|
| 1364 | // the end... :( |
---|
| 1365 | assume( m_current == m_finish ); |
---|
| 1366 | |
---|
| 1367 | m_active = false; |
---|
| 1368 | return false; |
---|
| 1369 | } |
---|
| 1370 | }; |
---|
| 1371 | |
---|
| 1372 | |
---|
| 1373 | |
---|
[5cecde] | 1374 | bool CReducerFinder::IsDivisible(const poly product) const |
---|
| 1375 | { |
---|
[6bfd78] | 1376 | CDivisorEnumerator itr(*this, product); |
---|
| 1377 | if( !itr.Reset() ) |
---|
| 1378 | return false; |
---|
| 1379 | |
---|
| 1380 | return itr.MoveNext(); |
---|
| 1381 | |
---|
| 1382 | /* |
---|
[5cecde] | 1383 | const ring& r = m_rBaseRing; |
---|
| 1384 | |
---|
| 1385 | const long comp = p_GetComp(product, r); |
---|
| 1386 | const unsigned long not_sev = ~p_GetShortExpVector(product, r); |
---|
| 1387 | |
---|
| 1388 | assume( comp >= 0 ); |
---|
| 1389 | |
---|
| 1390 | CReducersHash::const_iterator it = m_hash.find(comp); // same module component |
---|
| 1391 | |
---|
[6bfd78] | 1392 | assume( m_L != NULL ); |
---|
| 1393 | |
---|
[5cecde] | 1394 | if( it == m_hash.end() ) |
---|
| 1395 | return false; |
---|
[495328] | 1396 | |
---|
[5cecde] | 1397 | const TReducers& reducers = it->second; |
---|
| 1398 | |
---|
| 1399 | for(TReducers::const_iterator vit = reducers.begin(); vit != reducers.end(); vit++ ) |
---|
[495328] | 1400 | { |
---|
[1a4c343] | 1401 | assume( m_L->m[(*vit)->m_label] == (*vit)->m_lt ); |
---|
[5cecde] | 1402 | |
---|
[1a4c343] | 1403 | if( (*vit)->DivisibilityCheck(product, not_sev, r) ) |
---|
[5cecde] | 1404 | { |
---|
[1a4c343] | 1405 | if( __DEBUG__ ) |
---|
| 1406 | { |
---|
| 1407 | Print("_FindReducer::Test LS: q is divisible by LS[%d] !:((, diviser is: ", 1 + (*vit)->m_label); |
---|
| 1408 | dPrint((*vit)->m_lt, r, r, 1); |
---|
| 1409 | } |
---|
[5cecde] | 1410 | |
---|
[1a4c343] | 1411 | return true; |
---|
| 1412 | } |
---|
[495328] | 1413 | } |
---|
[5cecde] | 1414 | |
---|
| 1415 | return false; |
---|
[6bfd78] | 1416 | */ |
---|
[495328] | 1417 | } |
---|
| 1418 | |
---|
| 1419 | |
---|
[c81423] | 1420 | #ifndef NDEBUG |
---|
| 1421 | void CReducerFinder::DebugPrint() const |
---|
| 1422 | { |
---|
| 1423 | const ring& r = m_rBaseRing; |
---|
| 1424 | |
---|
| 1425 | for( CReducersHash::const_iterator it = m_hash.begin(); it != m_hash.end(); it++) |
---|
| 1426 | { |
---|
[4ca3e3] | 1427 | Print("Hash Key: %ld, Values: \n", it->first); |
---|
[c81423] | 1428 | const TReducers& reducers = it->second; |
---|
| 1429 | |
---|
| 1430 | for(TReducers::const_iterator vit = reducers.begin(); vit != reducers.end(); vit++ ) |
---|
| 1431 | { |
---|
| 1432 | const poly p = (*vit)->m_lt; |
---|
| 1433 | |
---|
| 1434 | assume( p_GetComp(p, r) == it->first ); |
---|
| 1435 | |
---|
| 1436 | const int k = (*vit)->m_label; |
---|
| 1437 | |
---|
| 1438 | assume( m_L->m[k] == p ); |
---|
| 1439 | |
---|
| 1440 | const unsigned long p_sev = (*vit)->m_sev; |
---|
| 1441 | |
---|
| 1442 | assume( p_sev == p_GetShortExpVector(p, r) ); |
---|
| 1443 | |
---|
[4ca3e3] | 1444 | Print("L[%d]: ", k); dPrint(p, r, r, 0); Print("SEV: %ld\n", p_sev); |
---|
[c81423] | 1445 | } |
---|
| 1446 | } |
---|
| 1447 | } |
---|
| 1448 | #endif |
---|
| 1449 | |
---|
[6bfd78] | 1450 | /// TODO: |
---|
| 1451 | class CDivisorEnumerator2: public SchreyerSyzygyComputationFlags |
---|
| 1452 | { |
---|
| 1453 | private: |
---|
| 1454 | const CReducerFinder& m_reds; |
---|
| 1455 | const poly m_multiplier, m_term; |
---|
| 1456 | const unsigned long m_not_sev; |
---|
[4ca3e3] | 1457 | const long m_comp; |
---|
[6bfd78] | 1458 | |
---|
| 1459 | CReducerFinder::CReducersHash::const_iterator m_itr; |
---|
| 1460 | CReducerFinder::TReducers::const_iterator m_current, m_finish; |
---|
| 1461 | |
---|
| 1462 | bool m_active; |
---|
| 1463 | |
---|
| 1464 | public: |
---|
| 1465 | CDivisorEnumerator2(const CReducerFinder& self, const poly m, const poly t): |
---|
| 1466 | SchreyerSyzygyComputationFlags(self), |
---|
| 1467 | m_reds(self), |
---|
| 1468 | m_multiplier(m), m_term(t), |
---|
| 1469 | m_not_sev(~p_GetShortExpVector(m, t, m_rBaseRing)), |
---|
| 1470 | m_comp(p_GetComp(t, m_rBaseRing)), |
---|
| 1471 | m_itr(), m_current(), m_finish(), |
---|
| 1472 | m_active(false) |
---|
| 1473 | { |
---|
| 1474 | assume( m_comp >= 0 ); |
---|
| 1475 | assume( m_reds.m_L != NULL ); |
---|
| 1476 | assume( m_multiplier != NULL ); |
---|
| 1477 | assume( m_term != NULL ); |
---|
| 1478 | // assume( p_GetComp(m_multiplier, m_rBaseRing) == 0 ); |
---|
| 1479 | } |
---|
| 1480 | |
---|
| 1481 | inline bool Reset() |
---|
| 1482 | { |
---|
| 1483 | m_active = false; |
---|
| 1484 | |
---|
| 1485 | m_itr = m_reds.m_hash.find(m_comp); |
---|
| 1486 | |
---|
| 1487 | if( m_itr == m_reds.m_hash.end() ) |
---|
| 1488 | return false; |
---|
| 1489 | |
---|
| 1490 | assume( m_itr->first == m_comp ); |
---|
| 1491 | |
---|
| 1492 | m_current = (m_itr->second).begin(); |
---|
| 1493 | m_finish = (m_itr->second).end(); |
---|
| 1494 | |
---|
| 1495 | if (m_current == m_finish) |
---|
| 1496 | return false; |
---|
| 1497 | |
---|
| 1498 | return true; |
---|
| 1499 | } |
---|
| 1500 | |
---|
| 1501 | const CLeadingTerm& Current() const |
---|
| 1502 | { |
---|
| 1503 | assume( m_active ); |
---|
| 1504 | assume( m_current != m_finish ); |
---|
| 1505 | |
---|
| 1506 | return *(*m_current); |
---|
| 1507 | } |
---|
| 1508 | |
---|
| 1509 | inline bool MoveNext() |
---|
| 1510 | { |
---|
| 1511 | assume( m_current != m_finish ); |
---|
| 1512 | |
---|
| 1513 | if( m_active ) |
---|
| 1514 | ++m_current; |
---|
| 1515 | else |
---|
| 1516 | m_active = true; |
---|
[68fedf] | 1517 | |
---|
[6bfd78] | 1518 | |
---|
| 1519 | // looking for the next good entry |
---|
| 1520 | for( ; m_current != m_finish; ++m_current ) |
---|
| 1521 | { |
---|
| 1522 | assume( m_reds.m_L->m[Current().m_label] == Current().m_lt ); |
---|
| 1523 | |
---|
| 1524 | if( Current().DivisibilityCheck(m_multiplier, m_term, m_not_sev, m_rBaseRing) ) |
---|
| 1525 | { |
---|
[da9d52] | 1526 | #ifndef NDEBUG |
---|
[6bfd78] | 1527 | if( __DEBUG__ ) |
---|
| 1528 | { |
---|
| 1529 | Print("CDivisorEnumerator::MoveNext::est LS: q is divisible by LS[%d] !:((, diviser is: ", 1 + Current().m_label); |
---|
| 1530 | dPrint(Current().m_lt, m_rBaseRing, m_rBaseRing, 1); |
---|
| 1531 | } |
---|
[da9d52] | 1532 | #endif |
---|
[6bfd78] | 1533 | // m_active = true; |
---|
| 1534 | return true; |
---|
| 1535 | |
---|
| 1536 | } |
---|
| 1537 | } |
---|
| 1538 | |
---|
| 1539 | // the end... :( |
---|
| 1540 | assume( m_current == m_finish ); |
---|
| 1541 | |
---|
| 1542 | m_active = false; |
---|
| 1543 | return false; |
---|
| 1544 | } |
---|
| 1545 | }; |
---|
| 1546 | |
---|
[1cf13b] | 1547 | poly CReducerFinder::FindReducer(const poly multiplier, const poly t, |
---|
[6bfd78] | 1548 | const poly syzterm, |
---|
| 1549 | const CReducerFinder& syz_checker) const |
---|
[1cf13b] | 1550 | { |
---|
[6bfd78] | 1551 | CDivisorEnumerator2 itr(*this, multiplier, t); |
---|
| 1552 | if( !itr.Reset() ) |
---|
| 1553 | return NULL; |
---|
| 1554 | |
---|
| 1555 | // don't care about the module component of multiplier (as it may be the syzygy term) |
---|
[1cf13b] | 1556 | // product = multiplier * t? |
---|
| 1557 | const ring& r = m_rBaseRing; |
---|
| 1558 | |
---|
| 1559 | assume( multiplier != NULL ); assume( t != NULL ); |
---|
| 1560 | |
---|
| 1561 | const ideal& L = m_L; assume( L != NULL ); // for debug/testing only! |
---|
| 1562 | |
---|
| 1563 | long c = 0; |
---|
| 1564 | |
---|
| 1565 | if (syzterm != NULL) |
---|
| 1566 | c = p_GetComp(syzterm, r) - 1; |
---|
| 1567 | |
---|
| 1568 | assume( c >= 0 && c < IDELEMS(L) ); |
---|
| 1569 | |
---|
| 1570 | if (__DEBUG__ && (syzterm != NULL)) |
---|
| 1571 | { |
---|
| 1572 | const poly m = L->m[c]; |
---|
| 1573 | |
---|
| 1574 | assume( m != NULL ); assume( pNext(m) == NULL ); |
---|
| 1575 | |
---|
| 1576 | poly lm = p_Mult_mm(leadmonom(syzterm, r), m, r); |
---|
| 1577 | |
---|
[9936d6] | 1578 | poly pr = p_Mult_q( leadmonom(multiplier, r, false), leadmonom(t, r, false), r); |
---|
[1cf13b] | 1579 | |
---|
| 1580 | assume( p_EqualPolys(lm, pr, r) ); |
---|
| 1581 | |
---|
| 1582 | // def @@c = leadcomp(syzterm); int @@r = int(@@c); |
---|
| 1583 | // def @@product = leadmonomial(syzterm) * L[@@r]; |
---|
| 1584 | |
---|
| 1585 | p_Delete(&lm, r); |
---|
| 1586 | p_Delete(&pr, r); |
---|
| 1587 | } |
---|
[6bfd78] | 1588 | |
---|
| 1589 | const BOOLEAN to_check = (syz_checker.IsNonempty()); // __TAILREDSYZ__ && |
---|
| 1590 | |
---|
| 1591 | const poly q = p_New(r); pNext(q) = NULL; |
---|
| 1592 | |
---|
| 1593 | if( __DEBUG__ ) |
---|
| 1594 | p_SetCoeff0(q, 0, r); // for printing q |
---|
| 1595 | |
---|
| 1596 | while( itr.MoveNext() ) |
---|
| 1597 | { |
---|
| 1598 | const poly p = itr.Current().m_lt; |
---|
| 1599 | const int k = itr.Current().m_label; |
---|
| 1600 | |
---|
| 1601 | p_ExpVectorSum(q, multiplier, t, r); // q == product == multiplier * t // TODO: do it once? |
---|
| 1602 | p_ExpVectorDiff(q, q, p, r); // (LM(product) / LM(L[k])) |
---|
| 1603 | |
---|
| 1604 | p_SetComp(q, k + 1, r); |
---|
| 1605 | p_Setm(q, r); |
---|
| 1606 | |
---|
| 1607 | // cannot allow something like: a*gen(i) - a*gen(i) |
---|
| 1608 | if (syzterm != NULL && (k == c)) |
---|
| 1609 | if (p_ExpVectorEqual(syzterm, q, r)) |
---|
| 1610 | { |
---|
[da9d52] | 1611 | #ifndef NDEBUG |
---|
[6bfd78] | 1612 | if( __DEBUG__ ) |
---|
| 1613 | { |
---|
| 1614 | Print("_FindReducer::Test SYZTERM: q == syzterm !:((, syzterm is: "); |
---|
| 1615 | dPrint(syzterm, r, r, 1); |
---|
| 1616 | } |
---|
[da9d52] | 1617 | #endif |
---|
[6bfd78] | 1618 | continue; |
---|
| 1619 | } |
---|
| 1620 | |
---|
| 1621 | // while the complement (the fraction) is not reducible by leading syzygies |
---|
| 1622 | if( to_check && syz_checker.IsDivisible(q) ) |
---|
| 1623 | { |
---|
[da9d52] | 1624 | #ifndef NDEBUG |
---|
[6bfd78] | 1625 | if( __DEBUG__ ) |
---|
| 1626 | { |
---|
| 1627 | PrintS("_FindReducer::Test LS: q is divisible by LS[?] !:((: "); |
---|
| 1628 | } |
---|
[da9d52] | 1629 | #endif |
---|
[6bfd78] | 1630 | continue; |
---|
| 1631 | } |
---|
| 1632 | |
---|
| 1633 | number n = n_Mult( p_GetCoeff(multiplier, r), p_GetCoeff(t, r), r); |
---|
| 1634 | p_SetCoeff0(q, n_Neg( n_Div(n, p_GetCoeff(p, r), r), r), r); |
---|
| 1635 | n_Delete(&n, r); |
---|
| 1636 | |
---|
| 1637 | return q; |
---|
| 1638 | } |
---|
| 1639 | |
---|
[9936d6] | 1640 | /* |
---|
[6bfd78] | 1641 | const long comp = p_GetComp(t, r); assume( comp >= 0 ); |
---|
[1cf13b] | 1642 | const unsigned long not_sev = ~p_GetShortExpVector(multiplier, t, r); // ! |
---|
| 1643 | |
---|
| 1644 | // for( int k = IDELEMS(L)-1; k>= 0; k-- ) |
---|
| 1645 | // { |
---|
| 1646 | // const poly p = L->m[k]; |
---|
| 1647 | // |
---|
| 1648 | // if ( p_GetComp(p, r) != comp ) |
---|
| 1649 | // continue; |
---|
| 1650 | // |
---|
| 1651 | // const unsigned long p_sev = p_GetShortExpVector(p, r); // to be stored in m_hash!!! |
---|
| 1652 | |
---|
| 1653 | // looking for an appropriate diviser p = L[k]... |
---|
| 1654 | CReducersHash::const_iterator it = m_hash.find(comp); // same module component |
---|
| 1655 | |
---|
| 1656 | if( it == m_hash.end() ) |
---|
| 1657 | return NULL; |
---|
| 1658 | |
---|
| 1659 | assume( m_L != NULL ); |
---|
| 1660 | |
---|
| 1661 | const TReducers& reducers = it->second; |
---|
| 1662 | |
---|
| 1663 | for(TReducers::const_iterator vit = reducers.begin(); vit != reducers.end(); vit++ ) |
---|
| 1664 | { |
---|
| 1665 | |
---|
[1a4c343] | 1666 | const poly p = (*vit)->m_lt; |
---|
[1cf13b] | 1667 | const int k = (*vit)->m_label; |
---|
| 1668 | |
---|
| 1669 | assume( L->m[k] == p ); |
---|
| 1670 | |
---|
[1a4c343] | 1671 | // const unsigned long p_sev = (*vit)->m_sev; |
---|
| 1672 | // assume( p_sev == p_GetShortExpVector(p, r) ); |
---|
[1cf13b] | 1673 | |
---|
| 1674 | // if( !p_LmShortDivisibleByNoComp(p, p_sev, product, not_sev, r) ) |
---|
| 1675 | // continue; |
---|
| 1676 | |
---|
[1a4c343] | 1677 | if( !(*vit)->DivisibilityCheck(multiplier, t, not_sev, r) ) |
---|
[1cf13b] | 1678 | continue; |
---|
[1a4c343] | 1679 | |
---|
| 1680 | |
---|
| 1681 | // if (p_sev & not_sev) continue; |
---|
| 1682 | // if( !_p_LmDivisibleByNoComp(p, multiplier, t, r) ) continue; |
---|
[1cf13b] | 1683 | |
---|
| 1684 | |
---|
| 1685 | p_ExpVectorSum(q, multiplier, t, r); // q == product == multiplier * t |
---|
| 1686 | p_ExpVectorDiff(q, q, p, r); // (LM(product) / LM(L[k])) |
---|
| 1687 | |
---|
| 1688 | p_SetComp(q, k + 1, r); |
---|
| 1689 | p_Setm(q, r); |
---|
| 1690 | |
---|
| 1691 | // cannot allow something like: a*gen(i) - a*gen(i) |
---|
| 1692 | if (syzterm != NULL && (k == c)) |
---|
| 1693 | if (p_ExpVectorEqual(syzterm, q, r)) |
---|
| 1694 | { |
---|
| 1695 | if( __DEBUG__ ) |
---|
| 1696 | { |
---|
| 1697 | Print("_FindReducer::Test SYZTERM: q == syzterm !:((, syzterm is: "); |
---|
| 1698 | dPrint(syzterm, r, r, 1); |
---|
| 1699 | } |
---|
| 1700 | |
---|
| 1701 | continue; |
---|
| 1702 | } |
---|
| 1703 | |
---|
| 1704 | // while the complement (the fraction) is not reducible by leading syzygies |
---|
| 1705 | if( to_check && syz_checker.IsDivisible(q) ) |
---|
| 1706 | { |
---|
| 1707 | if( __DEBUG__ ) |
---|
| 1708 | { |
---|
| 1709 | PrintS("_FindReducer::Test LS: q is divisible by LS[?] !:((: "); |
---|
| 1710 | } |
---|
| 1711 | |
---|
| 1712 | continue; |
---|
| 1713 | } |
---|
| 1714 | |
---|
| 1715 | number n = n_Mult( p_GetCoeff(multiplier, r), p_GetCoeff(t, r), r); |
---|
| 1716 | p_SetCoeff0(q, n_Neg( n_Div(n, p_GetCoeff(p, r), r), r), r); |
---|
| 1717 | n_Delete(&n, r); |
---|
| 1718 | |
---|
| 1719 | return q; |
---|
| 1720 | } |
---|
[9936d6] | 1721 | */ |
---|
[1cf13b] | 1722 | |
---|
| 1723 | p_LmFree(q, r); |
---|
| 1724 | |
---|
| 1725 | return NULL; |
---|
[9936d6] | 1726 | |
---|
[1cf13b] | 1727 | } |
---|
| 1728 | |
---|
| 1729 | |
---|
[5cecde] | 1730 | poly CReducerFinder::FindReducer(const poly product, const poly syzterm, const CReducerFinder& syz_checker) const |
---|
[495328] | 1731 | { |
---|
[9936d6] | 1732 | CDivisorEnumerator itr(*this, product); |
---|
| 1733 | if( !itr.Reset() ) |
---|
| 1734 | return NULL; |
---|
| 1735 | |
---|
| 1736 | |
---|
[495328] | 1737 | const ring& r = m_rBaseRing; |
---|
| 1738 | |
---|
| 1739 | assume( product != NULL ); |
---|
[5cecde] | 1740 | |
---|
| 1741 | const ideal& L = m_L; assume( L != NULL ); // for debug/testing only! |
---|
[495328] | 1742 | |
---|
| 1743 | long c = 0; |
---|
| 1744 | |
---|
| 1745 | if (syzterm != NULL) |
---|
| 1746 | c = p_GetComp(syzterm, r) - 1; |
---|
| 1747 | |
---|
| 1748 | assume( c >= 0 && c < IDELEMS(L) ); |
---|
| 1749 | |
---|
| 1750 | if (__DEBUG__ && (syzterm != NULL)) |
---|
| 1751 | { |
---|
| 1752 | const poly m = L->m[c]; |
---|
| 1753 | |
---|
| 1754 | assume( m != NULL ); assume( pNext(m) == NULL ); |
---|
| 1755 | |
---|
| 1756 | poly lm = p_Mult_mm(leadmonom(syzterm, r), m, r); |
---|
| 1757 | assume( p_EqualPolys(lm, product, r) ); |
---|
| 1758 | |
---|
| 1759 | // def @@c = leadcomp(syzterm); int @@r = int(@@c); |
---|
| 1760 | // def @@product = leadmonomial(syzterm) * L[@@r]; |
---|
| 1761 | |
---|
| 1762 | p_Delete(&lm, r); |
---|
| 1763 | } |
---|
| 1764 | |
---|
[9936d6] | 1765 | |
---|
| 1766 | const BOOLEAN to_check = (syz_checker.IsNonempty()); // __TAILREDSYZ__ && |
---|
| 1767 | |
---|
| 1768 | const poly q = p_New(r); pNext(q) = NULL; |
---|
| 1769 | |
---|
| 1770 | if( __DEBUG__ ) |
---|
| 1771 | p_SetCoeff0(q, 0, r); // for printing q |
---|
| 1772 | |
---|
| 1773 | while( itr.MoveNext() ) |
---|
| 1774 | { |
---|
| 1775 | const poly p = itr.Current().m_lt; |
---|
| 1776 | const int k = itr.Current().m_label; |
---|
| 1777 | |
---|
| 1778 | p_ExpVectorDiff(q, product, p, r); // (LM(product) / LM(L[k])) |
---|
| 1779 | p_SetComp(q, k + 1, r); |
---|
| 1780 | p_Setm(q, r); |
---|
| 1781 | |
---|
| 1782 | // cannot allow something like: a*gen(i) - a*gen(i) |
---|
| 1783 | if (syzterm != NULL && (k == c)) |
---|
| 1784 | if (p_ExpVectorEqual(syzterm, q, r)) |
---|
| 1785 | { |
---|
[da9d52] | 1786 | #ifndef NDEBUG |
---|
[9936d6] | 1787 | if( __DEBUG__ ) |
---|
| 1788 | { |
---|
| 1789 | Print("_FindReducer::Test SYZTERM: q == syzterm !:((, syzterm is: "); |
---|
| 1790 | dPrint(syzterm, r, r, 1); |
---|
| 1791 | } |
---|
[da9d52] | 1792 | #endif |
---|
[9936d6] | 1793 | continue; |
---|
| 1794 | } |
---|
| 1795 | |
---|
| 1796 | // while the complement (the fraction) is not reducible by leading syzygies |
---|
| 1797 | if( to_check && syz_checker.IsDivisible(q) ) |
---|
| 1798 | { |
---|
[da9d52] | 1799 | #ifndef NDEBUG |
---|
[9936d6] | 1800 | if( __DEBUG__ ) |
---|
| 1801 | { |
---|
| 1802 | PrintS("_FindReducer::Test LS: q is divisible by LS[?] !:((: "); |
---|
| 1803 | } |
---|
[da9d52] | 1804 | #endif |
---|
[9936d6] | 1805 | continue; |
---|
| 1806 | } |
---|
| 1807 | |
---|
| 1808 | p_SetCoeff0(q, n_Neg( n_Div( p_GetCoeff(product, r), p_GetCoeff(p, r), r), r), r); |
---|
| 1809 | |
---|
| 1810 | return q; |
---|
| 1811 | } |
---|
| 1812 | |
---|
| 1813 | |
---|
| 1814 | |
---|
| 1815 | /* |
---|
[495328] | 1816 | const long comp = p_GetComp(product, r); |
---|
| 1817 | const unsigned long not_sev = ~p_GetShortExpVector(product, r); |
---|
| 1818 | |
---|
| 1819 | assume( comp >= 0 ); |
---|
| 1820 | |
---|
[5cecde] | 1821 | // for( int k = IDELEMS(L)-1; k>= 0; k-- ) |
---|
| 1822 | // { |
---|
| 1823 | // const poly p = L->m[k]; |
---|
| 1824 | // |
---|
| 1825 | // if ( p_GetComp(p, r) != comp ) |
---|
| 1826 | // continue; |
---|
| 1827 | // |
---|
| 1828 | // const unsigned long p_sev = p_GetShortExpVector(p, r); // to be stored in m_hash!!! |
---|
| 1829 | |
---|
[495328] | 1830 | // looking for an appropriate diviser p = L[k]... |
---|
[5cecde] | 1831 | CReducersHash::const_iterator it = m_hash.find(comp); // same module component |
---|
[495328] | 1832 | |
---|
| 1833 | if( it == m_hash.end() ) |
---|
| 1834 | return NULL; |
---|
| 1835 | |
---|
[5cecde] | 1836 | assume( m_L != NULL ); |
---|
| 1837 | |
---|
| 1838 | const TReducers& reducers = it->second; |
---|
| 1839 | |
---|
[e98c64] | 1840 | const BOOLEAN to_check = (syz_checker.IsNonempty()); // __TAILREDSYZ__ && |
---|
[495328] | 1841 | |
---|
[5cecde] | 1842 | const poly q = p_New(r); pNext(q) = NULL; |
---|
| 1843 | |
---|
| 1844 | if( __DEBUG__ ) |
---|
| 1845 | p_SetCoeff0(q, 0, r); // for printing q |
---|
| 1846 | |
---|
[495328] | 1847 | for(TReducers::const_iterator vit = reducers.begin(); vit != reducers.end(); vit++ ) |
---|
| 1848 | { |
---|
| 1849 | const poly p = (*vit)->m_lt; |
---|
| 1850 | |
---|
| 1851 | assume( p_GetComp(p, r) == comp ); |
---|
| 1852 | |
---|
| 1853 | const int k = (*vit)->m_label; |
---|
| 1854 | |
---|
| 1855 | assume( L->m[k] == p ); |
---|
| 1856 | |
---|
| 1857 | const unsigned long p_sev = (*vit)->m_sev; |
---|
| 1858 | |
---|
| 1859 | assume( p_sev == p_GetShortExpVector(p, r) ); |
---|
| 1860 | |
---|
| 1861 | if( !p_LmShortDivisibleByNoComp(p, p_sev, product, not_sev, r) ) |
---|
| 1862 | continue; |
---|
| 1863 | |
---|
| 1864 | // // ... which divides the product, looking for the _1st_ appropriate one! |
---|
| 1865 | // if( !p_LmDivisibleByNoComp(p, product, r) ) // included inside p_LmShortDivisibleBy! |
---|
| 1866 | // continue; |
---|
| 1867 | |
---|
| 1868 | p_ExpVectorDiff(q, product, p, r); // (LM(product) / LM(L[k])) |
---|
| 1869 | p_SetComp(q, k + 1, r); |
---|
| 1870 | p_Setm(q, r); |
---|
| 1871 | |
---|
| 1872 | // cannot allow something like: a*gen(i) - a*gen(i) |
---|
| 1873 | if (syzterm != NULL && (k == c)) |
---|
| 1874 | if (p_ExpVectorEqual(syzterm, q, r)) |
---|
| 1875 | { |
---|
| 1876 | if( __DEBUG__ ) |
---|
| 1877 | { |
---|
| 1878 | Print("_FindReducer::Test SYZTERM: q == syzterm !:((, syzterm is: "); |
---|
| 1879 | dPrint(syzterm, r, r, 1); |
---|
| 1880 | } |
---|
| 1881 | |
---|
| 1882 | continue; |
---|
| 1883 | } |
---|
| 1884 | |
---|
| 1885 | // while the complement (the fraction) is not reducible by leading syzygies |
---|
[5cecde] | 1886 | if( to_check && syz_checker.IsDivisible(q) ) |
---|
[495328] | 1887 | { |
---|
[5cecde] | 1888 | if( __DEBUG__ ) |
---|
[495328] | 1889 | { |
---|
[5cecde] | 1890 | PrintS("_FindReducer::Test LS: q is divisible by LS[?] !:((: "); |
---|
[495328] | 1891 | } |
---|
[5cecde] | 1892 | |
---|
| 1893 | continue; |
---|
[495328] | 1894 | } |
---|
| 1895 | |
---|
| 1896 | p_SetCoeff0(q, n_Neg( n_Div( p_GetCoeff(product, r), p_GetCoeff(p, r), r), r), r); |
---|
| 1897 | return q; |
---|
| 1898 | } |
---|
[9936d6] | 1899 | */ |
---|
[495328] | 1900 | |
---|
[5cecde] | 1901 | p_LmFree(q, r); |
---|
[495328] | 1902 | |
---|
| 1903 | return NULL; |
---|
| 1904 | } |
---|
| 1905 | |
---|
| 1906 | |
---|
| 1907 | |
---|
[5cecde] | 1908 | CLCM::CLCM(const ideal& L, const SchreyerSyzygyComputationFlags& flags): |
---|
| 1909 | SchreyerSyzygyComputationFlags(flags), std::vector<bool>(), |
---|
| 1910 | m_compute(false), m_N(rVar(flags.m_rBaseRing)) |
---|
| 1911 | { |
---|
| 1912 | const ring& R = m_rBaseRing; |
---|
| 1913 | assume( flags.m_rBaseRing == R ); |
---|
| 1914 | assume( R != NULL ); |
---|
[495328] | 1915 | |
---|
[5cecde] | 1916 | assume( L != NULL ); |
---|
[495328] | 1917 | |
---|
[5cecde] | 1918 | if( __TAILREDSYZ__ && !__HYBRIDNF__ && (L != NULL)) |
---|
| 1919 | { |
---|
| 1920 | const int l = IDELEMS(L); |
---|
[495328] | 1921 | |
---|
[5cecde] | 1922 | assume( l > 0 ); |
---|
[495328] | 1923 | |
---|
[5cecde] | 1924 | resize(l, false); |
---|
[495328] | 1925 | |
---|
[5cecde] | 1926 | for( int k = l - 1; k >= 0; k-- ) |
---|
[495328] | 1927 | { |
---|
[5cecde] | 1928 | const poly a = L->m[k]; assume( a != NULL ); |
---|
[495328] | 1929 | |
---|
[5cecde] | 1930 | for (unsigned int j = m_N; j > 0; j--) |
---|
| 1931 | if ( !(*this)[j] ) |
---|
| 1932 | (*this)[j] = (p_GetExp(a, j, R) > 0); |
---|
[495328] | 1933 | } |
---|
| 1934 | |
---|
[5cecde] | 1935 | m_compute = true; |
---|
| 1936 | } |
---|
| 1937 | } |
---|
[495328] | 1938 | |
---|
| 1939 | |
---|
[5cecde] | 1940 | bool CLCM::Check(const poly m) const |
---|
| 1941 | { |
---|
| 1942 | assume( m != NULL ); |
---|
| 1943 | if( m_compute && (m != NULL)) |
---|
| 1944 | { |
---|
| 1945 | const ring& R = m_rBaseRing; |
---|
[495328] | 1946 | |
---|
[5cecde] | 1947 | assume( __TAILREDSYZ__ && !__HYBRIDNF__ ); |
---|
[495328] | 1948 | |
---|
[5cecde] | 1949 | for (unsigned int j = m_N; j > 0; j--) |
---|
| 1950 | if ( (*this)[j] ) |
---|
| 1951 | if(p_GetExp(m, j, R) > 0) |
---|
| 1952 | return true; |
---|
[495328] | 1953 | |
---|
[5cecde] | 1954 | return false; |
---|
[495328] | 1955 | |
---|
[5cecde] | 1956 | } else return true; |
---|
| 1957 | } |
---|
[495328] | 1958 | |
---|
| 1959 | |
---|
| 1960 | |
---|
[ff7993] | 1961 | |
---|
| 1962 | END_NAMESPACE END_NAMESPACE_SINGULARXX |
---|
| 1963 | |
---|
| 1964 | |
---|
| 1965 | // Vi-modeline: vim: filetype=c:syntax:shiftwidth=2:tabstop=8:textwidth=0:expandtab |
---|