[35aab3] | 1 | /**************************************** |
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| 2 | * Computer Algebra System SINGULAR * |
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| 3 | ****************************************/ |
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[341696] | 4 | /* $Id$ */ |
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[35aab3] | 5 | /* |
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| 6 | * ABSTRACT - Routines for Spoly creation and reductions |
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| 7 | */ |
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| 8 | |
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| 9 | // #define PDEBUG 2 |
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[762407] | 10 | #include "config.h" |
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[599326] | 11 | #include <kernel/mod2.h> |
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[0f401f] | 12 | #include <misc/options.h> |
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[599326] | 13 | #include <kernel/kutil.h> |
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[0f401f] | 14 | #include <coeffs/numbers.h> |
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[210e07] | 15 | #include <polys/monomials/p_polys.h> |
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[76cfef] | 16 | #include <polys/templates/p_Procs.h> |
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[210e07] | 17 | #include <polys/nc/nc.h> |
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[725ef18] | 18 | #ifdef KDEBUG |
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[599326] | 19 | #include <kernel/febase.h> |
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[725ef18] | 20 | #endif |
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[206e158] | 21 | #ifdef HAVE_RINGS |
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[737a68] | 22 | #include <kernel/polys.h> |
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[f92547] | 23 | #endif |
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[35aab3] | 24 | |
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| 25 | #ifdef KDEBUG |
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| 26 | int red_count = 0; |
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| 27 | int create_count = 0; |
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| 28 | // define this if reductions are reported on TEST_OPT_DEBUG |
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[493225] | 29 | #define TEST_OPT_DEBUG_RED |
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[35aab3] | 30 | #endif |
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| 31 | |
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| 32 | /*************************************************************** |
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| 33 | * |
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| 34 | * Reduces PR with PW |
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| 35 | * Assumes PR != NULL, PW != NULL, Lm(PW) divides Lm(PR) |
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| 36 | * |
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| 37 | ***************************************************************/ |
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| 38 | int ksReducePoly(LObject* PR, |
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| 39 | TObject* PW, |
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| 40 | poly spNoether, |
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| 41 | number *coef, |
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| 42 | kStrategy strat) |
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| 43 | { |
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| 44 | #ifdef KDEBUG |
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| 45 | red_count++; |
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| 46 | #ifdef TEST_OPT_DEBUG_RED |
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| 47 | if (TEST_OPT_DEBUG) |
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| 48 | { |
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| 49 | Print("Red %d:", red_count); PR->wrp(); Print(" with:"); |
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| 50 | PW->wrp(); |
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| 51 | } |
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| 52 | #endif |
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| 53 | #endif |
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| 54 | int ret = 0; |
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| 55 | ring tailRing = PR->tailRing; |
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| 56 | kTest_L(PR); |
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| 57 | kTest_T(PW); |
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| 58 | |
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[cea6f3] | 59 | poly p1 = PR->GetLmTailRing(); // p2 | p1 |
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| 60 | poly p2 = PW->GetLmTailRing(); // i.e. will reduce p1 with p2; lm = LT(p1) / LM(p2) |
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| 61 | poly t2 = pNext(p2), lm = p1; // t2 = p2 - LT(p2); really compute P = LC(p2)*p1 - LT(p1)/LM(p2)*p2 |
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| 62 | assume(p1 != NULL && p2 != NULL);// Attention, we have rings and there LC(p2) and LC(p1) are special |
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[35aab3] | 63 | p_CheckPolyRing(p1, tailRing); |
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| 64 | p_CheckPolyRing(p2, tailRing); |
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| 65 | |
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| 66 | pAssume1(p2 != NULL && p1 != NULL && |
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| 67 | p_DivisibleBy(p2, p1, tailRing)); |
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| 68 | |
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| 69 | pAssume1(p_GetComp(p1, tailRing) == p_GetComp(p2, tailRing) || |
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| 70 | (p_GetComp(p2, tailRing) == 0 && |
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| 71 | p_MaxComp(pNext(p2),tailRing) == 0)); |
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| 72 | |
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[d60626] | 73 | #ifdef HAVE_PLURAL |
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[35aab3] | 74 | if (rIsPluralRing(currRing)) |
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| 75 | { |
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| 76 | // for the time being: we know currRing==strat->tailRing |
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| 77 | // no exp-bound checking needed |
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| 78 | // (only needed if exp-bound(tailring)<exp-b(currRing)) |
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[0a8ee5] | 79 | if (PR->bucket!=NULL) nc_kBucketPolyRed(PR->bucket, p2,coef); |
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[35aab3] | 80 | else |
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| 81 | { |
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| 82 | poly _p = (PR->t_p != NULL ? PR->t_p : PR->p); |
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| 83 | assume(_p != NULL); |
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[073e96] | 84 | nc_PolyPolyRed(_p, p2,coef, currRing); |
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[35aab3] | 85 | if (PR->t_p!=NULL) PR->t_p=_p; else PR->p=_p; |
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[073e96] | 86 | PR->pLength=0; // usually not used, GetpLength re-computes it if needed |
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[35aab3] | 87 | } |
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| 88 | return 0; |
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| 89 | } |
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[d60626] | 90 | #endif |
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[35aab3] | 91 | |
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[cea6f3] | 92 | if (t2==NULL) // Divisor is just one term, therefore it will |
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| 93 | { // just cancel the leading term |
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[585bbcb] | 94 | PR->LmDeleteAndIter(); |
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| 95 | if (coef != NULL) *coef = n_Init(1, tailRing); |
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| 96 | return 0; |
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| 97 | } |
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| 98 | |
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[cea6f3] | 99 | p_ExpVectorSub(lm, p2, tailRing); // Calculate the Monomial we must multiply to p2 |
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[585bbcb] | 100 | |
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| 101 | if (tailRing != currRing) |
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| 102 | { |
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| 103 | // check that reduction does not violate exp bound |
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| 104 | while (PW->max != NULL && !p_LmExpVectorAddIsOk(lm, PW->max, tailRing)) |
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| 105 | { |
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| 106 | // undo changes of lm |
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| 107 | p_ExpVectorAdd(lm, p2, tailRing); |
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| 108 | if (strat == NULL) return 2; |
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| 109 | if (! kStratChangeTailRing(strat, PR, PW)) return -1; |
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| 110 | tailRing = strat->tailRing; |
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| 111 | p1 = PR->GetLmTailRing(); |
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| 112 | p2 = PW->GetLmTailRing(); |
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| 113 | t2 = pNext(p2); |
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| 114 | lm = p1; |
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| 115 | p_ExpVectorSub(lm, p2, tailRing); |
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| 116 | ret = 1; |
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| 117 | } |
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| 118 | } |
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| 119 | |
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| 120 | // take care of coef buisness |
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| 121 | if (! n_IsOne(pGetCoeff(p2), tailRing)) |
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| 122 | { |
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| 123 | number bn = pGetCoeff(lm); |
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| 124 | number an = pGetCoeff(p2); |
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[073e96] | 125 | int ct = ksCheckCoeff(&an, &bn, tailRing->cf); // Calculate special LC |
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[cea6f3] | 126 | p_SetCoeff(lm, bn, tailRing); |
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[585bbcb] | 127 | if ((ct == 0) || (ct == 2)) |
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| 128 | PR->Tail_Mult_nn(an); |
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| 129 | if (coef != NULL) *coef = an; |
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| 130 | else n_Delete(&an, tailRing); |
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| 131 | } |
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| 132 | else |
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| 133 | { |
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| 134 | if (coef != NULL) *coef = n_Init(1, tailRing); |
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| 135 | } |
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| 136 | |
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| 137 | |
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| 138 | // and finally, |
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| 139 | PR->Tail_Minus_mm_Mult_qq(lm, t2, PW->GetpLength() - 1, spNoether); |
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[cea6f3] | 140 | assume(PW->GetpLength() == pLength(PW->p != NULL ? PW->p : PW->t_p)); |
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[585bbcb] | 141 | PR->LmDeleteAndIter(); |
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[9f5fca] | 142 | |
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| 143 | // the following is commented out: shrinking |
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| 144 | #ifdef HAVE_SHIFTBBA_NONEXISTENT |
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| 145 | if ( (currRing->isLPring) && (!strat->homog) ) |
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| 146 | { |
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| 147 | // assume? h->p in currRing |
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| 148 | PR->GetP(); |
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| 149 | poly qq = p_Shrink(PR->p, currRing->isLPring, currRing); |
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| 150 | PR->Clear(); // does the right things |
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| 151 | PR->p = qq; |
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| 152 | PR->t_p = NULL; |
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| 153 | PR->SetShortExpVector(); |
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| 154 | } |
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| 155 | #endif |
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| 156 | |
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[585bbcb] | 157 | #if defined(KDEBUG) && defined(TEST_OPT_DEBUG_RED) |
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| 158 | if (TEST_OPT_DEBUG) |
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| 159 | { |
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| 160 | Print(" to: "); PR->wrp(); Print("\n"); |
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| 161 | } |
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| 162 | #endif |
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| 163 | return ret; |
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| 164 | } |
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| 165 | |
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[35aab3] | 166 | /*************************************************************** |
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| 167 | * |
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| 168 | * Creates S-Poly of p1 and p2 |
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| 169 | * |
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| 170 | * |
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| 171 | ***************************************************************/ |
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| 172 | void ksCreateSpoly(LObject* Pair, poly spNoether, |
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| 173 | int use_buckets, ring tailRing, |
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| 174 | poly m1, poly m2, TObject** R) |
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| 175 | { |
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| 176 | #ifdef KDEBUG |
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| 177 | create_count++; |
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| 178 | #endif |
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| 179 | kTest_L(Pair); |
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| 180 | poly p1 = Pair->p1; |
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| 181 | poly p2 = Pair->p2; |
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| 182 | poly last; |
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| 183 | Pair->tailRing = tailRing; |
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| 184 | |
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| 185 | assume(p1 != NULL); |
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| 186 | assume(p2 != NULL); |
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| 187 | assume(tailRing != NULL); |
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| 188 | |
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| 189 | poly a1 = pNext(p1), a2 = pNext(p2); |
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| 190 | number lc1 = pGetCoeff(p1), lc2 = pGetCoeff(p2); |
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[073e96] | 191 | int co=0, ct = ksCheckCoeff(&lc1, &lc2, currRing->cf); // gcd and zero divisors |
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[35aab3] | 192 | |
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| 193 | int l1=0, l2=0; |
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| 194 | |
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| 195 | if (p_GetComp(p1, currRing)!=p_GetComp(p2, currRing)) |
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| 196 | { |
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| 197 | if (p_GetComp(p1, currRing)==0) |
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| 198 | { |
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| 199 | co=1; |
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| 200 | p_SetCompP(p1,p_GetComp(p2, currRing), currRing, tailRing); |
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| 201 | } |
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| 202 | else |
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| 203 | { |
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| 204 | co=2; |
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| 205 | p_SetCompP(p2, p_GetComp(p1, currRing), currRing, tailRing); |
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| 206 | } |
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| 207 | } |
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| 208 | |
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| 209 | // get m1 = LCM(LM(p1), LM(p2))/LM(p1) |
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| 210 | // m2 = LCM(LM(p1), LM(p2))/LM(p2) |
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| 211 | if (m1 == NULL) |
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| 212 | k_GetLeadTerms(p1, p2, currRing, m1, m2, tailRing); |
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| 213 | |
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| 214 | pSetCoeff0(m1, lc2); |
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| 215 | pSetCoeff0(m2, lc1); // and now, m1 * LT(p1) == m2 * LT(p2) |
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| 216 | |
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| 217 | if (R != NULL) |
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| 218 | { |
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[51e69e] | 219 | if (Pair->i_r1 == -1) |
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| 220 | { |
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| 221 | l1 = pLength(p1) - 1; |
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| 222 | } |
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| 223 | else |
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| 224 | { |
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| 225 | l1 = (R[Pair->i_r1])->GetpLength() - 1; |
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| 226 | } |
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| 227 | if (Pair->i_r2 == -1) |
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| 228 | { |
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| 229 | l2 = pLength(p2) - 1; |
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| 230 | } |
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| 231 | else |
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| 232 | { |
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| 233 | l2 = (R[Pair->i_r2])->GetpLength() - 1; |
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| 234 | } |
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[35aab3] | 235 | } |
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| 236 | |
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| 237 | // get m2 * a2 |
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| 238 | if (spNoether != NULL) |
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| 239 | { |
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| 240 | l2 = -1; |
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| 241 | a2 = tailRing->p_Procs->pp_Mult_mm_Noether(a2, m2, spNoether, l2, tailRing,last); |
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| 242 | assume(l2 == pLength(a2)); |
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| 243 | } |
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| 244 | else |
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| 245 | a2 = tailRing->p_Procs->pp_Mult_mm(a2, m2, tailRing,last); |
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[009d80] | 246 | #ifdef HAVE_RINGS |
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[93ebe1] | 247 | if (!(rField_is_Domain(currRing))) l2 = pLength(a2); |
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[cea6f3] | 248 | #endif |
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| 249 | |
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[35aab3] | 250 | Pair->SetLmTail(m2, a2, l2, use_buckets, tailRing, last); |
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| 251 | |
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| 252 | // get m2*a2 - m1*a1 |
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| 253 | Pair->Tail_Minus_mm_Mult_qq(m1, a1, l1, spNoether); |
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| 254 | |
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| 255 | // Clean-up time |
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| 256 | Pair->LmDeleteAndIter(); |
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| 257 | p_LmDelete(m1, tailRing); |
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| 258 | |
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| 259 | if (co != 0) |
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| 260 | { |
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| 261 | if (co==1) |
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| 262 | { |
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| 263 | p_SetCompP(p1,0, currRing, tailRing); |
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| 264 | } |
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| 265 | else |
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| 266 | { |
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| 267 | p_SetCompP(p2,0, currRing, tailRing); |
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| 268 | } |
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| 269 | } |
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[9f5fca] | 270 | |
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| 271 | // the following is commented out: shrinking |
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| 272 | #ifdef HAVE_SHIFTBBA_NONEXISTENT |
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| 273 | if (currRing->isLPring) |
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| 274 | { |
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| 275 | // assume? h->p in currRing |
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| 276 | Pair->GetP(); |
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| 277 | poly qq = p_Shrink(Pair->p, currRing->isLPring, currRing); |
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| 278 | Pair->Clear(); // does the right things |
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| 279 | Pair->p = qq; |
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| 280 | Pair->t_p = NULL; |
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| 281 | Pair->SetShortExpVector(); |
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| 282 | } |
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| 283 | #endif |
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| 284 | |
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[35aab3] | 285 | } |
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| 286 | |
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| 287 | int ksReducePolyTail(LObject* PR, TObject* PW, poly Current, poly spNoether) |
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| 288 | { |
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| 289 | BOOLEAN ret; |
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| 290 | number coef; |
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| 291 | poly Lp = PR->GetLmCurrRing(); |
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| 292 | poly Save = PW->GetLmCurrRing(); |
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| 293 | |
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| 294 | kTest_L(PR); |
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| 295 | kTest_T(PW); |
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| 296 | pAssume(pIsMonomOf(Lp, Current)); |
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| 297 | |
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| 298 | assume(Lp != NULL && Current != NULL && pNext(Current) != NULL); |
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| 299 | assume(PR->bucket == NULL); |
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| 300 | |
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| 301 | LObject Red(pNext(Current), PR->tailRing); |
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| 302 | TObject With(PW, Lp == Save); |
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| 303 | |
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| 304 | pAssume(!pHaveCommonMonoms(Red.p, With.p)); |
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| 305 | ret = ksReducePoly(&Red, &With, spNoether, &coef); |
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| 306 | |
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| 307 | if (!ret) |
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| 308 | { |
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| 309 | if (! n_IsOne(coef, currRing)) |
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| 310 | { |
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| 311 | pNext(Current) = NULL; |
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| 312 | if (Current == PR->p && PR->t_p != NULL) |
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| 313 | pNext(PR->t_p) = NULL; |
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| 314 | PR->Mult_nn(coef); |
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| 315 | } |
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| 316 | |
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| 317 | n_Delete(&coef, currRing); |
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| 318 | pNext(Current) = Red.GetLmTailRing(); |
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| 319 | if (Current == PR->p && PR->t_p != NULL) |
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| 320 | pNext(PR->t_p) = pNext(Current); |
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| 321 | } |
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| 322 | |
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| 323 | if (Lp == Save) |
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| 324 | With.Delete(); |
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[9f5fca] | 325 | |
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| 326 | // the following is commented out: shrinking |
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| 327 | #ifdef HAVE_SHIFTBBA_NONEXISTENT |
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| 328 | if (currRing->isLPring) |
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| 329 | { |
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| 330 | // assume? h->p in currRing |
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| 331 | PR->GetP(); |
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| 332 | poly qq = p_Shrink(PR->p, currRing->isLPring, currRing); |
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| 333 | PR->Clear(); // does the right things |
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| 334 | PR->p = qq; |
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| 335 | PR->t_p = NULL; |
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| 336 | PR->SetShortExpVector(); |
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| 337 | } |
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| 338 | #endif |
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| 339 | |
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[35aab3] | 340 | return ret; |
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| 341 | } |
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| 342 | |
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| 343 | /*************************************************************** |
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| 344 | * |
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| 345 | * Auxillary Routines |
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| 346 | * |
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| 347 | * |
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| 348 | ***************************************************************/ |
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| 349 | |
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| 350 | /*2 |
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| 351 | * creates the leading term of the S-polynomial of p1 and p2 |
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| 352 | * do not destroy p1 and p2 |
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| 353 | * remarks: |
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| 354 | * 1. the coefficient is 0 (nNew) |
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[f92547] | 355 | * 1. a) in the case of coefficient ring, the coefficient is calculated |
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[35aab3] | 356 | * 2. pNext is undefined |
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| 357 | */ |
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| 358 | //static void bbb() { int i=0; } |
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| 359 | poly ksCreateShortSpoly(poly p1, poly p2, ring tailRing) |
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| 360 | { |
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| 361 | poly a1 = pNext(p1), a2 = pNext(p2); |
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[0b5e3d] | 362 | long c1=p_GetComp(p1, currRing),c2=p_GetComp(p2, currRing); |
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| 363 | long c; |
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[35aab3] | 364 | poly m1,m2; |
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[a539ad] | 365 | number t1 = NULL,t2 = NULL; |
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[35aab3] | 366 | int cm,i; |
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| 367 | BOOLEAN equal; |
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| 368 | |
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[009d80] | 369 | #ifdef HAVE_RINGS |
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[93ebe1] | 370 | BOOLEAN is_Ring=rField_is_Ring(currRing); |
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[f92547] | 371 | number lc1 = pGetCoeff(p1), lc2 = pGetCoeff(p2); |
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[93ebe1] | 372 | if (is_Ring) |
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[f92547] | 373 | { |
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[073e96] | 374 | ksCheckCoeff(&lc1, &lc2, currRing->cf); // gcd and zero divisors |
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[f92547] | 375 | if (a1 != NULL) t2 = nMult(pGetCoeff(a1),lc2); |
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| 376 | if (a2 != NULL) t1 = nMult(pGetCoeff(a2),lc1); |
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| 377 | while (a1 != NULL && nIsZero(t2)) |
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| 378 | { |
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| 379 | pIter(a1); |
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[a539ad] | 380 | nDelete(&t2); |
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[f92547] | 381 | if (a1 != NULL) t2 = nMult(pGetCoeff(a1),lc2); |
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| 382 | } |
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| 383 | while (a2 != NULL && nIsZero(t1)) |
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| 384 | { |
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| 385 | pIter(a2); |
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[a539ad] | 386 | nDelete(&t1); |
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[f92547] | 387 | if (a2 != NULL) t1 = nMult(pGetCoeff(a2),lc1); |
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| 388 | } |
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| 389 | } |
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| 390 | #endif |
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| 391 | |
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[35aab3] | 392 | if (a1==NULL) |
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| 393 | { |
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| 394 | if(a2!=NULL) |
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| 395 | { |
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| 396 | m2=p_Init(currRing); |
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| 397 | x2: |
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[1f637e] | 398 | for (i = (currRing->N); i; i--) |
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[35aab3] | 399 | { |
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| 400 | c = p_GetExpDiff(p1, p2,i, currRing); |
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| 401 | if (c>0) |
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| 402 | { |
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| 403 | p_SetExp(m2,i,(c+p_GetExp(a2,i,tailRing)),currRing); |
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| 404 | } |
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| 405 | else |
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| 406 | { |
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| 407 | p_SetExp(m2,i,p_GetExp(a2,i,tailRing),currRing); |
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| 408 | } |
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| 409 | } |
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| 410 | if ((c1==c2)||(c2!=0)) |
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| 411 | { |
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| 412 | p_SetComp(m2,p_GetComp(a2,tailRing), currRing); |
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| 413 | } |
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| 414 | else |
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| 415 | { |
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| 416 | p_SetComp(m2,c1,currRing); |
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| 417 | } |
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| 418 | p_Setm(m2, currRing); |
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[009d80] | 419 | #ifdef HAVE_RINGS |
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[93ebe1] | 420 | if (is_Ring) |
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[a539ad] | 421 | { |
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| 422 | nDelete(&lc1); |
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| 423 | nDelete(&lc2); |
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| 424 | nDelete(&t2); |
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[bac8611] | 425 | pSetCoeff0(m2, t1); |
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[a539ad] | 426 | } |
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[f92547] | 427 | else |
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| 428 | #endif |
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| 429 | nNew(&(pGetCoeff(m2))); |
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[35aab3] | 430 | return m2; |
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| 431 | } |
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| 432 | else |
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[a539ad] | 433 | { |
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| 434 | #ifdef HAVE_RINGS |
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[725ef18] | 435 | if (is_Ring) |
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| 436 | { |
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| 437 | nDelete(&lc1); |
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| 438 | nDelete(&lc2); |
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| 439 | nDelete(&t1); |
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| 440 | nDelete(&t2); |
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| 441 | } |
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[a539ad] | 442 | #endif |
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[35aab3] | 443 | return NULL; |
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[a539ad] | 444 | } |
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[35aab3] | 445 | } |
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| 446 | if (a2==NULL) |
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| 447 | { |
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| 448 | m1=p_Init(currRing); |
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| 449 | x1: |
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[1f637e] | 450 | for (i = (currRing->N); i; i--) |
---|
[35aab3] | 451 | { |
---|
| 452 | c = p_GetExpDiff(p2, p1,i,currRing); |
---|
| 453 | if (c>0) |
---|
| 454 | { |
---|
| 455 | p_SetExp(m1,i,(c+p_GetExp(a1,i, tailRing)),currRing); |
---|
| 456 | } |
---|
| 457 | else |
---|
| 458 | { |
---|
| 459 | p_SetExp(m1,i,p_GetExp(a1,i, tailRing), currRing); |
---|
| 460 | } |
---|
| 461 | } |
---|
| 462 | if ((c1==c2)||(c1!=0)) |
---|
| 463 | { |
---|
| 464 | p_SetComp(m1,p_GetComp(a1,tailRing),currRing); |
---|
| 465 | } |
---|
| 466 | else |
---|
| 467 | { |
---|
| 468 | p_SetComp(m1,c2,currRing); |
---|
| 469 | } |
---|
| 470 | p_Setm(m1, currRing); |
---|
[009d80] | 471 | #ifdef HAVE_RINGS |
---|
[93ebe1] | 472 | if (is_Ring) |
---|
[a539ad] | 473 | { |
---|
| 474 | pSetCoeff0(m1, t2); |
---|
| 475 | nDelete(&lc1); |
---|
| 476 | nDelete(&lc2); |
---|
| 477 | nDelete(&t1); |
---|
| 478 | } |
---|
[f92547] | 479 | else |
---|
| 480 | #endif |
---|
| 481 | nNew(&(pGetCoeff(m1))); |
---|
[35aab3] | 482 | return m1; |
---|
| 483 | } |
---|
| 484 | m1 = p_Init(currRing); |
---|
| 485 | m2 = p_Init(currRing); |
---|
[725ef18] | 486 | loop |
---|
[35aab3] | 487 | { |
---|
[1f637e] | 488 | for (i = (currRing->N); i; i--) |
---|
[35aab3] | 489 | { |
---|
| 490 | c = p_GetExpDiff(p1, p2,i,currRing); |
---|
| 491 | if (c > 0) |
---|
| 492 | { |
---|
| 493 | p_SetExp(m2,i,(c+p_GetExp(a2,i,tailRing)), currRing); |
---|
| 494 | p_SetExp(m1,i,p_GetExp(a1,i, tailRing), currRing); |
---|
| 495 | } |
---|
| 496 | else |
---|
| 497 | { |
---|
| 498 | p_SetExp(m1,i,(p_GetExp(a1,i,tailRing)-c), currRing); |
---|
| 499 | p_SetExp(m2,i,p_GetExp(a2,i, tailRing), currRing); |
---|
| 500 | } |
---|
| 501 | } |
---|
| 502 | if(c1==c2) |
---|
| 503 | { |
---|
| 504 | p_SetComp(m1,p_GetComp(a1, tailRing), currRing); |
---|
| 505 | p_SetComp(m2,p_GetComp(a2, tailRing), currRing); |
---|
| 506 | } |
---|
| 507 | else |
---|
| 508 | { |
---|
| 509 | if(c1!=0) |
---|
| 510 | { |
---|
| 511 | p_SetComp(m1,p_GetComp(a1, tailRing), currRing); |
---|
| 512 | p_SetComp(m2,c1, currRing); |
---|
| 513 | } |
---|
| 514 | else |
---|
| 515 | { |
---|
| 516 | p_SetComp(m2,p_GetComp(a2, tailRing), currRing); |
---|
| 517 | p_SetComp(m1,c2, currRing); |
---|
| 518 | } |
---|
| 519 | } |
---|
| 520 | p_Setm(m1,currRing); |
---|
| 521 | p_Setm(m2,currRing); |
---|
| 522 | cm = p_LmCmp(m1, m2,currRing); |
---|
| 523 | if (cm!=0) |
---|
| 524 | { |
---|
| 525 | if(cm==1) |
---|
| 526 | { |
---|
| 527 | p_LmFree(m2,currRing); |
---|
[009d80] | 528 | #ifdef HAVE_RINGS |
---|
[93ebe1] | 529 | if (is_Ring) |
---|
[a539ad] | 530 | { |
---|
[bac8611] | 531 | pSetCoeff0(m1, t2); |
---|
[a539ad] | 532 | nDelete(&lc1); |
---|
| 533 | nDelete(&lc2); |
---|
| 534 | nDelete(&t1); |
---|
| 535 | } |
---|
[e6cbed] | 536 | else |
---|
| 537 | #endif |
---|
| 538 | nNew(&(pGetCoeff(m1))); |
---|
[35aab3] | 539 | return m1; |
---|
| 540 | } |
---|
| 541 | else |
---|
| 542 | { |
---|
| 543 | p_LmFree(m1,currRing); |
---|
[009d80] | 544 | #ifdef HAVE_RINGS |
---|
[93ebe1] | 545 | if (is_Ring) |
---|
[a539ad] | 546 | { |
---|
| 547 | pSetCoeff0(m2, t1); |
---|
| 548 | nDelete(&lc1); |
---|
| 549 | nDelete(&lc2); |
---|
| 550 | nDelete(&t2); |
---|
| 551 | } |
---|
[e6cbed] | 552 | else |
---|
| 553 | #endif |
---|
| 554 | nNew(&(pGetCoeff(m2))); |
---|
[35aab3] | 555 | return m2; |
---|
| 556 | } |
---|
| 557 | } |
---|
[009d80] | 558 | #ifdef HAVE_RINGS |
---|
[93ebe1] | 559 | if (is_Ring) |
---|
[f92547] | 560 | { |
---|
[a539ad] | 561 | equal = nEqual(t1,t2); |
---|
[f92547] | 562 | } |
---|
| 563 | else |
---|
| 564 | #endif |
---|
| 565 | { |
---|
| 566 | t1 = nMult(pGetCoeff(a2),pGetCoeff(p1)); |
---|
| 567 | t2 = nMult(pGetCoeff(a1),pGetCoeff(p2)); |
---|
| 568 | equal = nEqual(t1,t2); |
---|
| 569 | nDelete(&t2); |
---|
| 570 | nDelete(&t1); |
---|
| 571 | } |
---|
[35aab3] | 572 | if (!equal) |
---|
| 573 | { |
---|
| 574 | p_LmFree(m2,currRing); |
---|
[009d80] | 575 | #ifdef HAVE_RINGS |
---|
[93ebe1] | 576 | if (is_Ring) |
---|
[a539ad] | 577 | { |
---|
| 578 | pSetCoeff0(m1, nSub(t1, t2)); |
---|
| 579 | nDelete(&lc1); |
---|
| 580 | nDelete(&lc2); |
---|
| 581 | nDelete(&t1); |
---|
| 582 | nDelete(&t2); |
---|
| 583 | } |
---|
[f92547] | 584 | else |
---|
| 585 | #endif |
---|
| 586 | nNew(&(pGetCoeff(m1))); |
---|
[35aab3] | 587 | return m1; |
---|
| 588 | } |
---|
| 589 | pIter(a1); |
---|
| 590 | pIter(a2); |
---|
[009d80] | 591 | #ifdef HAVE_RINGS |
---|
[93ebe1] | 592 | if (is_Ring) |
---|
[f92547] | 593 | { |
---|
[a539ad] | 594 | if (a2 != NULL) |
---|
| 595 | { |
---|
| 596 | nDelete(&t1); |
---|
| 597 | t1 = nMult(pGetCoeff(a2),lc1); |
---|
| 598 | } |
---|
| 599 | if (a1 != NULL) |
---|
| 600 | { |
---|
| 601 | nDelete(&t2); |
---|
| 602 | t2 = nMult(pGetCoeff(a1),lc2); |
---|
| 603 | } |
---|
[93ebe1] | 604 | while ((a1 != NULL) && nIsZero(t2)) |
---|
[f92547] | 605 | { |
---|
| 606 | pIter(a1); |
---|
[a539ad] | 607 | if (a1 != NULL) |
---|
| 608 | { |
---|
| 609 | nDelete(&t2); |
---|
| 610 | t2 = nMult(pGetCoeff(a1),lc2); |
---|
| 611 | } |
---|
[f92547] | 612 | } |
---|
[93ebe1] | 613 | while ((a2 != NULL) && nIsZero(t1)) |
---|
[f92547] | 614 | { |
---|
| 615 | pIter(a2); |
---|
[a539ad] | 616 | if (a2 != NULL) |
---|
| 617 | { |
---|
| 618 | nDelete(&t1); |
---|
| 619 | t1 = nMult(pGetCoeff(a2),lc1); |
---|
| 620 | } |
---|
[f92547] | 621 | } |
---|
| 622 | } |
---|
| 623 | #endif |
---|
[35aab3] | 624 | if (a2==NULL) |
---|
| 625 | { |
---|
| 626 | p_LmFree(m2,currRing); |
---|
| 627 | if (a1==NULL) |
---|
| 628 | { |
---|
[a539ad] | 629 | #ifdef HAVE_RINGS |
---|
[93ebe1] | 630 | if (is_Ring) |
---|
[a539ad] | 631 | { |
---|
| 632 | nDelete(&lc1); |
---|
| 633 | nDelete(&lc2); |
---|
| 634 | nDelete(&t1); |
---|
| 635 | nDelete(&t2); |
---|
| 636 | } |
---|
| 637 | #endif |
---|
[35aab3] | 638 | p_LmFree(m1,currRing); |
---|
| 639 | return NULL; |
---|
| 640 | } |
---|
| 641 | goto x1; |
---|
| 642 | } |
---|
| 643 | if (a1==NULL) |
---|
| 644 | { |
---|
| 645 | p_LmFree(m1,currRing); |
---|
| 646 | goto x2; |
---|
| 647 | } |
---|
| 648 | } |
---|
| 649 | } |
---|