[6dbc96] | 1 | /**************************************** |
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| 2 | * Computer Algebra System SINGULAR * |
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| 3 | ****************************************/ |
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| 4 | /*************************************************************** |
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| 5 | * File: sca.cc |
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| 6 | * Purpose: supercommutative kernel procedures |
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| 7 | * Author: motsak (Oleksandr Motsak) |
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| 8 | * Created: 2006/12/18 |
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[341696] | 9 | * Version: $Id$ |
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[6dbc96] | 10 | *******************************************************************/ |
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| 11 | |
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[022ef5] | 12 | // set it here if needed. |
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| 13 | #define OUTPUT 0 |
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| 14 | #define MYTEST 0 |
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| 15 | |
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| 16 | #if MYTEST |
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[52e2f6] | 17 | #define OM_CHECK 4 |
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| 18 | #define OM_TRACK 5 |
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[022ef5] | 19 | #endif |
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[52e2f6] | 20 | |
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[6dbc96] | 21 | // #define PDEBUG 2 |
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[599326] | 22 | #include <kernel/mod2.h> |
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[6dbc96] | 23 | |
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[f2f460] | 24 | #ifdef HAVE_PLURAL |
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[6dbc96] | 25 | // for |
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| 26 | #define PLURAL_INTERNAL_DECLARATIONS |
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[599326] | 27 | #include <kernel/sca.h> |
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| 28 | #include <kernel/gring.h> |
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[6dbc96] | 29 | |
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| 30 | |
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[599326] | 31 | #include <kernel/febase.h> |
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| 32 | #include <kernel/options.h> |
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[6dbc96] | 33 | |
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[599326] | 34 | #include <kernel/p_polys.h> |
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| 35 | #include <kernel/kutil.h> |
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[f7a975] | 36 | #include <polys/simpleideals.h> |
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[599326] | 37 | #include <kernel/intvec.h> |
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| 38 | #include <kernel/polys.h> |
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[6dbc96] | 39 | |
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[599326] | 40 | #include <kernel/ring.h> |
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| 41 | #include <kernel/numbers.h> |
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| 42 | #include <kernel/matpol.h> |
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| 43 | #include <kernel/kbuckets.h> |
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| 44 | #include <kernel/kstd1.h> |
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| 45 | #include <kernel/sbuckets.h> |
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| 46 | #include <kernel/prCopy.h> |
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| 47 | #include <kernel/p_Mult_q.h> |
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| 48 | #include <kernel/p_MemAdd.h> |
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[6dbc96] | 49 | |
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[599326] | 50 | #include <kernel/kutil.h> |
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| 51 | #include <kernel/kstd1.h> |
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[6dbc96] | 52 | |
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[599326] | 53 | #include <kernel/weight.h> |
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[6dbc96] | 54 | |
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| 55 | |
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[86016d] | 56 | // poly functions defined in p_Procs : |
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| 57 | |
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| 58 | // return pPoly * pMonom; preserve pPoly and pMonom. |
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| 59 | poly sca_pp_Mult_mm(const poly pPoly, const poly pMonom, const ring rRing, poly &); |
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| 60 | |
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| 61 | // return pMonom * pPoly; preserve pPoly and pMonom. |
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[096c99] | 62 | static poly sca_mm_Mult_pp(const poly pMonom, const poly pPoly, const ring rRing); |
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[86016d] | 63 | |
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| 64 | // return pPoly * pMonom; preserve pMonom, destroy or reuse pPoly. |
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| 65 | poly sca_p_Mult_mm(poly pPoly, const poly pMonom, const ring rRing); |
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| 66 | |
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| 67 | // return pMonom * pPoly; preserve pMonom, destroy or reuse pPoly. |
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[096c99] | 68 | static poly sca_mm_Mult_p(const poly pMonom, poly pPoly, const ring rRing); |
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[86016d] | 69 | |
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| 70 | |
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| 71 | // compute the spolynomial of p1 and p2 |
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| 72 | poly sca_SPoly(const poly p1, const poly p2, const ring r); |
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| 73 | poly sca_ReduceSpoly(const poly p1, poly p2, const ring r); |
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| 74 | |
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| 75 | // Modified Plural's Buchberger's algorithmus. |
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| 76 | ideal sca_gr_bba(const ideal F, const ideal Q, const intvec *, const intvec *, kStrategy strat); |
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| 77 | |
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| 78 | // Modified modern Sinuglar Buchberger's algorithm. |
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| 79 | ideal sca_bba(const ideal F, const ideal Q, const intvec *w, const intvec *, kStrategy strat); |
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| 80 | |
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| 81 | // Modified modern Sinuglar Mora's algorithm. |
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| 82 | ideal sca_mora(const ideal F, const ideal Q, const intvec *w, const intvec *, kStrategy strat); |
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[6dbc96] | 83 | |
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| 84 | |
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| 85 | |
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| 86 | //////////////////////////////////////////////////////////////////////////////////////////////////// |
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[26b68f] | 87 | // Super Commutative Algebra extension by Oleksandr |
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[6dbc96] | 88 | //////////////////////////////////////////////////////////////////////////////////////////////////// |
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| 89 | |
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| 90 | |
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[096c99] | 91 | static inline ring assureCurrentRing(ring r) |
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[022ef5] | 92 | { |
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| 93 | ring save = currRing; |
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| 94 | |
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| 95 | if( currRing != r ) |
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| 96 | rChangeCurrRing(r); |
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| 97 | |
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| 98 | return save; |
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| 99 | } |
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[6dbc96] | 100 | |
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| 101 | |
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| 102 | |
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| 103 | // returns the sign of: lm(pMonomM) * lm(pMonomMM), |
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| 104 | // preserves input, may return +/-1, 0 |
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[096c99] | 105 | static inline int sca_Sign_mm_Mult_mm( const poly pMonomM, const poly pMonomMM, const ring rRing ) |
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[6dbc96] | 106 | { |
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| 107 | #ifdef PDEBUG |
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| 108 | p_Test(pMonomM, rRing); |
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| 109 | p_Test(pMonomMM, rRing); |
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| 110 | #endif |
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| 111 | |
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| 112 | const unsigned int iFirstAltVar = scaFirstAltVar(rRing); |
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| 113 | const unsigned int iLastAltVar = scaLastAltVar(rRing); |
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| 114 | |
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[7d9b62] | 115 | register unsigned int tpower = 0; |
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| 116 | register unsigned int cpower = 0; |
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[6dbc96] | 117 | |
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[7d9b62] | 118 | for( register unsigned int j = iLastAltVar; j >= iFirstAltVar; j-- ) |
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[6dbc96] | 119 | { |
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| 120 | const unsigned int iExpM = p_GetExp(pMonomM, j, rRing); |
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| 121 | const unsigned int iExpMM = p_GetExp(pMonomMM, j, rRing); |
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| 122 | |
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[b902246] | 123 | #ifdef PDEBUG |
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| 124 | assume( iExpM <= 1); |
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| 125 | assume( iExpMM <= 1); |
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| 126 | #endif |
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| 127 | |
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[7d9b62] | 128 | if( iExpMM != 0 ) // TODO: think about eliminating there if-s... |
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[6dbc96] | 129 | { |
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| 130 | if( iExpM != 0 ) |
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| 131 | { |
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| 132 | return 0; // lm(pMonomM) * lm(pMonomMM) == 0 |
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| 133 | } |
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[b902246] | 134 | tpower ^= cpower; // compute degree of (-1). |
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[6dbc96] | 135 | } |
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[b902246] | 136 | cpower ^= iExpM; |
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[6dbc96] | 137 | } |
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| 138 | |
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[b902246] | 139 | #ifdef PDEBUG |
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| 140 | assume(tpower <= 1); |
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| 141 | #endif |
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| 142 | |
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| 143 | // 1 => -1 // degree is odd => negate coeff. |
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| 144 | // 0 => 1 |
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[6dbc96] | 145 | |
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[b902246] | 146 | return(1 - (tpower << 1) ); |
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[6dbc96] | 147 | } |
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| 148 | |
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| 149 | |
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| 150 | |
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| 151 | |
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| 152 | // returns and changes pMonomM: lt(pMonomM) = lt(pMonomM) * lt(pMonomMM), |
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| 153 | // preserves pMonomMM. may return NULL! |
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| 154 | // if result != NULL => next(result) = next(pMonomM), lt(result) = lt(pMonomM) * lt(pMonomMM) |
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| 155 | // if result == NULL => pMonomM MUST BE deleted manually! |
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[096c99] | 156 | static inline poly sca_m_Mult_mm( poly pMonomM, const poly pMonomMM, const ring rRing ) |
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[6dbc96] | 157 | { |
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| 158 | #ifdef PDEBUG |
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| 159 | p_Test(pMonomM, rRing); |
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| 160 | p_Test(pMonomMM, rRing); |
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| 161 | #endif |
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| 162 | |
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| 163 | const unsigned int iFirstAltVar = scaFirstAltVar(rRing); |
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| 164 | const unsigned int iLastAltVar = scaLastAltVar(rRing); |
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| 165 | |
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[7d9b62] | 166 | register unsigned int tpower = 0; |
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| 167 | register unsigned int cpower = 0; |
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[6dbc96] | 168 | |
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[7d9b62] | 169 | for( register unsigned int j = iLastAltVar; j >= iFirstAltVar; j-- ) |
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[6dbc96] | 170 | { |
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| 171 | const unsigned int iExpM = p_GetExp(pMonomM, j, rRing); |
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| 172 | const unsigned int iExpMM = p_GetExp(pMonomMM, j, rRing); |
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| 173 | |
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[b902246] | 174 | #ifdef PDEBUG |
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| 175 | assume( iExpM <= 1); |
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| 176 | assume( iExpMM <= 1); |
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| 177 | #endif |
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| 178 | |
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[6dbc96] | 179 | if( iExpMM != 0 ) |
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| 180 | { |
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| 181 | if( iExpM != 0 ) // result is zero! |
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| 182 | { |
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| 183 | return NULL; // we do nothing with pMonomM in this case! |
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| 184 | } |
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| 185 | |
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[b902246] | 186 | tpower ^= cpower; // compute degree of (-1). |
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[6dbc96] | 187 | } |
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| 188 | |
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[b902246] | 189 | cpower ^= iExpM; |
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[6dbc96] | 190 | } |
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| 191 | |
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[b902246] | 192 | #ifdef PDEBUG |
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| 193 | assume(tpower <= 1); |
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| 194 | #endif |
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[26b68f] | 195 | |
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[6dbc96] | 196 | p_ExpVectorAdd(pMonomM, pMonomMM, rRing); // "exponents" are additive!!! |
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| 197 | |
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| 198 | number nCoeffM = p_GetCoeff(pMonomM, rRing); // no new copy! should be deleted! |
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| 199 | |
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[b902246] | 200 | if( (tpower) != 0 ) // degree is odd => negate coeff. |
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[6dbc96] | 201 | nCoeffM = n_Neg(nCoeffM, rRing); // negate nCoeff (will destroy the original number) |
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| 202 | |
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| 203 | const number nCoeffMM = p_GetCoeff(pMonomMM, rRing); // no new copy! |
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| 204 | |
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| 205 | number nCoeff = n_Mult(nCoeffM, nCoeffMM, rRing); // new number! |
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| 206 | |
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| 207 | p_SetCoeff(pMonomM, nCoeff, rRing); // delete lc(pMonomM) and set lc(pMonomM) = nCoeff |
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| 208 | |
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| 209 | #ifdef PDEBUG |
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[5ff25a3] | 210 | p_LmTest(pMonomM, rRing); |
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[6dbc96] | 211 | #endif |
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| 212 | |
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| 213 | return(pMonomM); |
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| 214 | } |
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| 215 | |
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| 216 | // returns and changes pMonomM: lt(pMonomM) = lt(pMonomMM) * lt(pMonomM), |
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| 217 | // preserves pMonomMM. may return NULL! |
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| 218 | // if result != NULL => next(result) = next(pMonomM), lt(result) = lt(pMonomMM) * lt(pMonomM) |
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| 219 | // if result == NULL => pMonomM MUST BE deleted manually! |
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[096c99] | 220 | static inline poly sca_mm_Mult_m( const poly pMonomMM, poly pMonomM, const ring rRing ) |
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[6dbc96] | 221 | { |
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| 222 | #ifdef PDEBUG |
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| 223 | p_Test(pMonomM, rRing); |
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| 224 | p_Test(pMonomMM, rRing); |
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| 225 | #endif |
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| 226 | |
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| 227 | const unsigned int iFirstAltVar = scaFirstAltVar(rRing); |
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| 228 | const unsigned int iLastAltVar = scaLastAltVar(rRing); |
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| 229 | |
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[7d9b62] | 230 | register unsigned int tpower = 0; |
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| 231 | register unsigned int cpower = 0; |
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[6dbc96] | 232 | |
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[7d9b62] | 233 | for( register unsigned int j = iLastAltVar; j >= iFirstAltVar; j-- ) |
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[6dbc96] | 234 | { |
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| 235 | const unsigned int iExpMM = p_GetExp(pMonomMM, j, rRing); |
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| 236 | const unsigned int iExpM = p_GetExp(pMonomM, j, rRing); |
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| 237 | |
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[b902246] | 238 | #ifdef PDEBUG |
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| 239 | assume( iExpM <= 1); |
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| 240 | assume( iExpMM <= 1); |
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| 241 | #endif |
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| 242 | |
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[6dbc96] | 243 | if( iExpM != 0 ) |
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| 244 | { |
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| 245 | if( iExpMM != 0 ) // result is zero! |
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| 246 | { |
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| 247 | return NULL; // we do nothing with pMonomM in this case! |
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| 248 | } |
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| 249 | |
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[b902246] | 250 | tpower ^= cpower; // compute degree of (-1). |
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[6dbc96] | 251 | } |
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| 252 | |
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[b902246] | 253 | cpower ^= iExpMM; |
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[6dbc96] | 254 | } |
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| 255 | |
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[b902246] | 256 | #ifdef PDEBUG |
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| 257 | assume(tpower <= 1); |
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| 258 | #endif |
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| 259 | |
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[6dbc96] | 260 | p_ExpVectorAdd(pMonomM, pMonomMM, rRing); // "exponents" are additive!!! |
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| 261 | |
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| 262 | number nCoeffM = p_GetCoeff(pMonomM, rRing); // no new copy! should be deleted! |
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| 263 | |
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[b902246] | 264 | if( (tpower) != 0 ) // degree is odd => negate coeff. |
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[6dbc96] | 265 | nCoeffM = n_Neg(nCoeffM, rRing); // negate nCoeff (will destroy the original number), creates new number! |
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| 266 | |
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| 267 | const number nCoeffMM = p_GetCoeff(pMonomMM, rRing); // no new copy! |
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| 268 | |
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| 269 | number nCoeff = n_Mult(nCoeffM, nCoeffMM, rRing); // new number! |
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| 270 | |
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| 271 | p_SetCoeff(pMonomM, nCoeff, rRing); // delete lc(pMonomM) and set lc(pMonomM) = nCoeff |
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| 272 | |
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| 273 | #ifdef PDEBUG |
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[5ff25a3] | 274 | p_LmTest(pMonomM, rRing); |
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[6dbc96] | 275 | #endif |
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| 276 | |
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| 277 | return(pMonomM); |
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| 278 | } |
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| 279 | |
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| 280 | |
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| 281 | |
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| 282 | // returns: result = lt(pMonom1) * lt(pMonom2), |
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| 283 | // preserves pMonom1, pMonom2. may return NULL! |
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| 284 | // if result != NULL => next(result) = NULL, lt(result) = lt(pMonom1) * lt(pMonom2) |
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[096c99] | 285 | static inline poly sca_mm_Mult_mm( poly pMonom1, const poly pMonom2, const ring rRing ) |
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[6dbc96] | 286 | { |
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| 287 | #ifdef PDEBUG |
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| 288 | p_Test(pMonom1, rRing); |
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| 289 | p_Test(pMonom2, rRing); |
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| 290 | #endif |
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| 291 | |
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| 292 | const unsigned int iFirstAltVar = scaFirstAltVar(rRing); |
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| 293 | const unsigned int iLastAltVar = scaLastAltVar(rRing); |
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| 294 | |
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[7d9b62] | 295 | register unsigned int tpower = 0; |
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| 296 | register unsigned int cpower = 0; |
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[6dbc96] | 297 | |
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[7d9b62] | 298 | for( register unsigned int j = iLastAltVar; j >= iFirstAltVar; j-- ) |
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[6dbc96] | 299 | { |
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| 300 | const unsigned int iExp1 = p_GetExp(pMonom1, j, rRing); |
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| 301 | const unsigned int iExp2 = p_GetExp(pMonom2, j, rRing); |
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| 302 | |
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[b902246] | 303 | #ifdef PDEBUG |
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| 304 | assume( iExp1 <= 1); |
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| 305 | assume( iExp2 <= 1); |
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| 306 | #endif |
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[26b68f] | 307 | |
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[6dbc96] | 308 | if( iExp2 != 0 ) |
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| 309 | { |
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| 310 | if( iExp1 != 0 ) // result is zero! |
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| 311 | { |
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| 312 | return NULL; |
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| 313 | } |
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[b902246] | 314 | tpower ^= cpower; // compute degree of (-1). |
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[6dbc96] | 315 | } |
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[b902246] | 316 | cpower ^= iExp1; |
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[6dbc96] | 317 | } |
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| 318 | |
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[b902246] | 319 | #ifdef PDEBUG |
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| 320 | assume(cpower <= 1); |
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| 321 | #endif |
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[26b68f] | 322 | |
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[6dbc96] | 323 | poly pResult; |
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[096c99] | 324 | p_AllocBin(pResult,rRing->PolyBin,rRing); |
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[6dbc96] | 325 | |
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| 326 | p_ExpVectorSum(pResult, pMonom1, pMonom2, rRing); // "exponents" are additive!!! |
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| 327 | |
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| 328 | pNext(pResult) = NULL; |
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| 329 | |
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| 330 | const number nCoeff1 = p_GetCoeff(pMonom1, rRing); // no new copy! |
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| 331 | const number nCoeff2 = p_GetCoeff(pMonom2, rRing); // no new copy! |
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| 332 | |
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| 333 | number nCoeff = n_Mult(nCoeff1, nCoeff2, rRing); // new number! |
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| 334 | |
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[b902246] | 335 | if( (tpower) != 0 ) // degree is odd => negate coeff. |
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[6dbc96] | 336 | nCoeff = n_Neg(nCoeff, rRing); // negate nCoeff (will destroy the original number) |
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| 337 | |
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| 338 | p_SetCoeff0(pResult, nCoeff, rRing); // set lc(pResult) = nCoeff, no destruction! |
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| 339 | |
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| 340 | #ifdef PDEBUG |
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[5ff25a3] | 341 | p_LmTest(pResult, rRing); |
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[6dbc96] | 342 | #endif |
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| 343 | |
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| 344 | return(pResult); |
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| 345 | } |
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| 346 | |
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| 347 | // returns: result = x_i * lt(pMonom), |
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| 348 | // preserves pMonom. may return NULL! |
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| 349 | // if result != NULL => next(result) = NULL, lt(result) = x_i * lt(pMonom) |
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[096c99] | 350 | static inline poly sca_xi_Mult_mm(unsigned int i, const poly pMonom, const ring rRing) |
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[6dbc96] | 351 | { |
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| 352 | #ifdef PDEBUG |
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| 353 | p_Test(pMonom, rRing); |
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| 354 | #endif |
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| 355 | |
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| 356 | assume( i <= scaLastAltVar(rRing)); |
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| 357 | assume( scaFirstAltVar(rRing) <= i ); |
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| 358 | |
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[86016d] | 359 | if( p_GetExp(pMonom, i, rRing) != 0 ) // => result is zero! |
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[6dbc96] | 360 | return NULL; |
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| 361 | |
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| 362 | const unsigned int iFirstAltVar = scaFirstAltVar(rRing); |
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| 363 | |
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[7d9b62] | 364 | register unsigned int cpower = 0; |
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[6dbc96] | 365 | |
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[7d9b62] | 366 | for( register unsigned int j = iFirstAltVar; j < i ; j++ ) |
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[b902246] | 367 | cpower ^= p_GetExp(pMonom, j, rRing); |
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| 368 | |
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| 369 | #ifdef PDEBUG |
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| 370 | assume(cpower <= 1); |
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| 371 | #endif |
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[6dbc96] | 372 | |
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| 373 | poly pResult = p_LmInit(pMonom, rRing); |
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| 374 | |
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| 375 | p_SetExp(pResult, i, 1, rRing); // pResult*=X_i && |
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| 376 | p_Setm(pResult, rRing); // addjust degree after previous step! |
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| 377 | |
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| 378 | number nCoeff = n_Copy(p_GetCoeff(pMonom, rRing), rRing); // new number! |
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| 379 | |
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[b902246] | 380 | if( cpower != 0 ) // degree is odd => negate coeff. |
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[6dbc96] | 381 | nCoeff = n_Neg(nCoeff, rRing); // negate nCoeff (will destroy the original number) |
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| 382 | |
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| 383 | p_SetCoeff0(pResult, nCoeff, rRing); // set lc(pResult) = nCoeff, no destruction! |
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| 384 | |
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| 385 | #ifdef PDEBUG |
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[5ff25a3] | 386 | p_LmTest(pResult, rRing); |
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[6dbc96] | 387 | #endif |
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| 388 | |
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| 389 | return(pResult); |
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| 390 | } |
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| 391 | |
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| 392 | //-----------------------------------------------------------------------------------// |
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| 393 | |
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| 394 | // return poly = pPoly * pMonom; preserve pMonom, destroy or reuse pPoly. |
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| 395 | poly sca_p_Mult_mm(poly pPoly, const poly pMonom, const ring rRing) |
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| 396 | { |
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| 397 | assume( rIsSCA(rRing) ); |
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| 398 | |
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| 399 | #ifdef PDEBUG |
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| 400 | // Print("sca_p_Mult_mm\n"); // ! |
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| 401 | |
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| 402 | p_Test(pPoly, rRing); |
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| 403 | p_Test(pMonom, rRing); |
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| 404 | #endif |
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| 405 | |
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| 406 | if( pPoly == NULL ) |
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| 407 | return NULL; |
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| 408 | |
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[096c99] | 409 | assume(pMonom !=NULL); |
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| 410 | //if( pMonom == NULL ) |
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| 411 | //{ |
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| 412 | // // pPoly != NULL => |
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| 413 | // p_Delete( &pPoly, rRing ); |
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| 414 | // return NULL; |
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| 415 | //} |
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[6dbc96] | 416 | |
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| 417 | const int iComponentMonomM = p_GetComp(pMonom, rRing); |
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| 418 | |
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| 419 | poly p = pPoly; poly* ppPrev = &pPoly; |
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| 420 | |
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| 421 | loop |
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| 422 | { |
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| 423 | #ifdef PDEBUG |
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| 424 | p_Test(p, rRing); |
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| 425 | #endif |
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| 426 | const int iComponent = p_GetComp(p, rRing); |
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| 427 | |
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| 428 | if( iComponent!=0 ) |
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| 429 | { |
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| 430 | if( iComponentMonomM!=0 ) // TODO: make global if on iComponentMonomM =?= 0 |
---|
| 431 | { |
---|
| 432 | // REPORT_ERROR |
---|
| 433 | Werror("sca_p_Mult_mm: exponent mismatch %d and %d\n", iComponent, iComponentMonomM); |
---|
| 434 | // what should we do further?!? |
---|
| 435 | |
---|
| 436 | p_Delete( &pPoly, rRing); // delete the result AND rest |
---|
| 437 | return NULL; |
---|
| 438 | } |
---|
| 439 | #ifdef PDEBUG |
---|
| 440 | if(iComponentMonomM==0 ) |
---|
| 441 | { |
---|
[b1a5c1] | 442 | dReportError("sca_p_Mult_mm: Multiplication in the left module from the right"); |
---|
[6dbc96] | 443 | } |
---|
| 444 | #endif |
---|
| 445 | } |
---|
| 446 | |
---|
| 447 | // terms will be in the same order because of quasi-ordering! |
---|
| 448 | poly v = sca_m_Mult_mm(p, pMonom, rRing); |
---|
| 449 | |
---|
| 450 | if( v != NULL ) |
---|
| 451 | { |
---|
| 452 | ppPrev = &pNext(p); // fixed! |
---|
| 453 | |
---|
| 454 | // *p is changed if v != NULL ( p == v ) |
---|
| 455 | pIter(p); |
---|
| 456 | |
---|
| 457 | if( p == NULL ) |
---|
| 458 | break; |
---|
| 459 | } |
---|
| 460 | else |
---|
| 461 | { // Upps! Zero!!! we must kill this term! |
---|
| 462 | |
---|
| 463 | // |
---|
| 464 | p = p_LmDeleteAndNext(p, rRing); |
---|
| 465 | |
---|
| 466 | *ppPrev = p; |
---|
| 467 | |
---|
| 468 | if( p == NULL ) |
---|
| 469 | break; |
---|
| 470 | } |
---|
| 471 | } |
---|
| 472 | |
---|
| 473 | #ifdef PDEBUG |
---|
| 474 | p_Test(pPoly,rRing); |
---|
| 475 | #endif |
---|
| 476 | |
---|
| 477 | return(pPoly); |
---|
| 478 | } |
---|
| 479 | |
---|
| 480 | // return new poly = pPoly * pMonom; preserve pPoly and pMonom. |
---|
| 481 | poly sca_pp_Mult_mm(const poly pPoly, const poly pMonom, const ring rRing, poly &) |
---|
| 482 | { |
---|
| 483 | assume( rIsSCA(rRing) ); |
---|
| 484 | |
---|
| 485 | #ifdef PDEBUG |
---|
| 486 | // Print("sca_pp_Mult_mm\n"); // ! |
---|
| 487 | |
---|
| 488 | p_Test(pPoly, rRing); |
---|
| 489 | p_Test(pMonom, rRing); |
---|
| 490 | #endif |
---|
| 491 | |
---|
[096c99] | 492 | if( ( pPoly == NULL ) /*|| ( pMonom == NULL )*/ ) |
---|
[6dbc96] | 493 | return NULL; |
---|
| 494 | |
---|
| 495 | const int iComponentMonomM = p_GetComp(pMonom, rRing); |
---|
| 496 | |
---|
| 497 | poly pResult = NULL; |
---|
| 498 | poly* ppPrev = &pResult; |
---|
| 499 | |
---|
| 500 | for( poly p = pPoly; p!= NULL; pIter(p) ) |
---|
| 501 | { |
---|
| 502 | #ifdef PDEBUG |
---|
| 503 | p_Test(p, rRing); |
---|
| 504 | #endif |
---|
| 505 | const int iComponent = p_GetComp(p, rRing); |
---|
| 506 | |
---|
| 507 | if( iComponent!=0 ) |
---|
| 508 | { |
---|
| 509 | if( iComponentMonomM!=0 ) // TODO: make global if on iComponentMonomM =?= 0 |
---|
| 510 | { |
---|
| 511 | // REPORT_ERROR |
---|
| 512 | Werror("sca_pp_Mult_mm: exponent mismatch %d and %d\n", iComponent, iComponentMonomM); |
---|
| 513 | // what should we do further?!? |
---|
| 514 | |
---|
| 515 | p_Delete( &pResult, rRing); // delete the result |
---|
| 516 | return NULL; |
---|
| 517 | } |
---|
| 518 | |
---|
| 519 | #ifdef PDEBUG |
---|
| 520 | if(iComponentMonomM==0 ) |
---|
| 521 | { |
---|
[b1a5c1] | 522 | dReportError("sca_pp_Mult_mm: Multiplication in the left module from the right"); |
---|
[6dbc96] | 523 | } |
---|
| 524 | #endif |
---|
| 525 | } |
---|
| 526 | |
---|
| 527 | // terms will be in the same order because of quasi-ordering! |
---|
| 528 | poly v = sca_mm_Mult_mm(p, pMonom, rRing); |
---|
| 529 | |
---|
| 530 | if( v != NULL ) |
---|
| 531 | { |
---|
| 532 | *ppPrev = v; |
---|
| 533 | ppPrev = &pNext(v); |
---|
| 534 | } |
---|
| 535 | } |
---|
| 536 | |
---|
| 537 | #ifdef PDEBUG |
---|
| 538 | p_Test(pResult,rRing); |
---|
| 539 | #endif |
---|
| 540 | |
---|
| 541 | return(pResult); |
---|
| 542 | } |
---|
| 543 | |
---|
| 544 | //-----------------------------------------------------------------------------------// |
---|
| 545 | |
---|
| 546 | // return x_i * pPoly; preserve pPoly. |
---|
[096c99] | 547 | static inline poly sca_xi_Mult_pp(unsigned int i, const poly pPoly, const ring rRing) |
---|
[6dbc96] | 548 | { |
---|
| 549 | assume( rIsSCA(rRing) ); |
---|
| 550 | |
---|
| 551 | #ifdef PDEBUG |
---|
| 552 | p_Test(pPoly, rRing); |
---|
| 553 | #endif |
---|
| 554 | |
---|
| 555 | assume(i <= scaLastAltVar(rRing)); |
---|
| 556 | assume(scaFirstAltVar(rRing) <= i); |
---|
| 557 | |
---|
| 558 | if( pPoly == NULL ) |
---|
| 559 | return NULL; |
---|
| 560 | |
---|
| 561 | poly pResult = NULL; |
---|
| 562 | poly* ppPrev = &pResult; |
---|
| 563 | |
---|
| 564 | for( poly p = pPoly; p!= NULL; pIter(p) ) |
---|
| 565 | { |
---|
| 566 | |
---|
| 567 | // terms will be in the same order because of quasi-ordering! |
---|
| 568 | poly v = sca_xi_Mult_mm(i, p, rRing); |
---|
| 569 | |
---|
| 570 | #ifdef PDEBUG |
---|
| 571 | p_Test(v, rRing); |
---|
| 572 | #endif |
---|
| 573 | |
---|
| 574 | if( v != NULL ) |
---|
| 575 | { |
---|
| 576 | *ppPrev = v; |
---|
| 577 | ppPrev = &pNext(*ppPrev); |
---|
| 578 | } |
---|
| 579 | } |
---|
| 580 | |
---|
| 581 | |
---|
| 582 | #ifdef PDEBUG |
---|
| 583 | p_Test(pResult, rRing); |
---|
| 584 | #endif |
---|
| 585 | |
---|
| 586 | return(pResult); |
---|
| 587 | } |
---|
| 588 | |
---|
| 589 | |
---|
| 590 | // return new poly = pMonom * pPoly; preserve pPoly and pMonom. |
---|
[096c99] | 591 | static poly sca_mm_Mult_pp(const poly pMonom, const poly pPoly, const ring rRing) |
---|
[6dbc96] | 592 | { |
---|
| 593 | assume( rIsSCA(rRing) ); |
---|
| 594 | |
---|
| 595 | #ifdef PDEBUG |
---|
| 596 | // Print("sca_mm_Mult_pp\n"); // ! |
---|
| 597 | |
---|
| 598 | p_Test(pPoly, rRing); |
---|
| 599 | p_Test(pMonom, rRing); |
---|
| 600 | #endif |
---|
| 601 | |
---|
[e915737] | 602 | if ((pPoly==NULL) || (pMonom==NULL)) return NULL; |
---|
| 603 | |
---|
[0a8ee5] | 604 | assume( (pPoly != NULL) && (pMonom !=NULL)); |
---|
[6dbc96] | 605 | |
---|
| 606 | const int iComponentMonomM = p_GetComp(pMonom, rRing); |
---|
| 607 | |
---|
| 608 | poly pResult = NULL; |
---|
| 609 | poly* ppPrev = &pResult; |
---|
| 610 | |
---|
| 611 | for( poly p = pPoly; p!= NULL; pIter(p) ) |
---|
| 612 | { |
---|
| 613 | #ifdef PDEBUG |
---|
| 614 | p_Test(p, rRing); |
---|
| 615 | #endif |
---|
| 616 | const int iComponent = p_GetComp(p, rRing); |
---|
| 617 | |
---|
| 618 | if( iComponentMonomM!=0 ) |
---|
| 619 | { |
---|
| 620 | if( iComponent!=0 ) // TODO: make global if on iComponentMonomM =?= 0 |
---|
| 621 | { |
---|
| 622 | // REPORT_ERROR |
---|
| 623 | Werror("sca_mm_Mult_pp: exponent mismatch %d and %d\n", iComponent, iComponentMonomM); |
---|
| 624 | // what should we do further?!? |
---|
| 625 | |
---|
| 626 | p_Delete( &pResult, rRing); // delete the result |
---|
| 627 | return NULL; |
---|
| 628 | } |
---|
| 629 | #ifdef PDEBUG |
---|
| 630 | if(iComponent==0 ) |
---|
| 631 | { |
---|
[b1a5c1] | 632 | dReportError("sca_mm_Mult_pp: Multiplication in the left module from the right!"); |
---|
[52e2f6] | 633 | // PrintS("mm = "); p_Write(pMonom, rRing); |
---|
| 634 | // PrintS("pp = "); p_Write(pPoly, rRing); |
---|
[b1a5c1] | 635 | // assume(iComponent!=0); |
---|
[6dbc96] | 636 | } |
---|
| 637 | #endif |
---|
| 638 | } |
---|
| 639 | |
---|
| 640 | // terms will be in the same order because of quasi-ordering! |
---|
| 641 | poly v = sca_mm_Mult_mm(pMonom, p, rRing); |
---|
| 642 | |
---|
| 643 | if( v != NULL ) |
---|
| 644 | { |
---|
| 645 | *ppPrev = v; |
---|
| 646 | ppPrev = &pNext(*ppPrev); // nice line ;-) |
---|
| 647 | } |
---|
| 648 | } |
---|
| 649 | |
---|
| 650 | #ifdef PDEBUG |
---|
| 651 | p_Test(pResult,rRing); |
---|
| 652 | #endif |
---|
| 653 | |
---|
| 654 | return(pResult); |
---|
| 655 | } |
---|
| 656 | |
---|
| 657 | |
---|
| 658 | // return poly = pMonom * pPoly; preserve pMonom, destroy or reuse pPoly. |
---|
[096c99] | 659 | static poly sca_mm_Mult_p(const poly pMonom, poly pPoly, const ring rRing) // !!!!! the MOST used procedure !!!!! |
---|
[6dbc96] | 660 | { |
---|
| 661 | assume( rIsSCA(rRing) ); |
---|
| 662 | |
---|
| 663 | #ifdef PDEBUG |
---|
| 664 | p_Test(pPoly, rRing); |
---|
| 665 | p_Test(pMonom, rRing); |
---|
| 666 | #endif |
---|
| 667 | |
---|
| 668 | if( pPoly == NULL ) |
---|
| 669 | return NULL; |
---|
| 670 | |
---|
[096c99] | 671 | assume(pMonom!=NULL); |
---|
| 672 | //if( pMonom == NULL ) |
---|
| 673 | //{ |
---|
| 674 | // // pPoly != NULL => |
---|
| 675 | // p_Delete( &pPoly, rRing ); |
---|
| 676 | // return NULL; |
---|
| 677 | //} |
---|
[6dbc96] | 678 | |
---|
| 679 | const int iComponentMonomM = p_GetComp(pMonom, rRing); |
---|
| 680 | |
---|
| 681 | poly p = pPoly; poly* ppPrev = &pPoly; |
---|
| 682 | |
---|
| 683 | loop |
---|
| 684 | { |
---|
| 685 | #ifdef PDEBUG |
---|
| 686 | if( !p_Test(p, rRing) ) |
---|
| 687 | { |
---|
[a610ee] | 688 | PrintS("p is wrong!"); |
---|
[6dbc96] | 689 | p_Write(p,rRing); |
---|
| 690 | } |
---|
| 691 | #endif |
---|
| 692 | |
---|
| 693 | const int iComponent = p_GetComp(p, rRing); |
---|
| 694 | |
---|
| 695 | if( iComponentMonomM!=0 ) |
---|
| 696 | { |
---|
[b1a5c1] | 697 | if( iComponent!=0 ) |
---|
[6dbc96] | 698 | { |
---|
| 699 | // REPORT_ERROR |
---|
| 700 | Werror("sca_mm_Mult_p: exponent mismatch %d and %d\n", iComponent, iComponentMonomM); |
---|
| 701 | // what should we do further?!? |
---|
| 702 | |
---|
| 703 | p_Delete( &pPoly, rRing); // delete the result |
---|
| 704 | return NULL; |
---|
| 705 | } |
---|
| 706 | #ifdef PDEBUG |
---|
[52e2f6] | 707 | if(iComponent==0) |
---|
[6dbc96] | 708 | { |
---|
[b1a5c1] | 709 | dReportError("sca_mm_Mult_p: Multiplication in the left module from the right!"); |
---|
[52e2f6] | 710 | // PrintS("mm = "); p_Write(pMonom, rRing); |
---|
| 711 | // PrintS("p = "); p_Write(pPoly, rRing); |
---|
[b1a5c1] | 712 | // assume(iComponent!=0); |
---|
[6dbc96] | 713 | } |
---|
| 714 | #endif |
---|
| 715 | } |
---|
| 716 | |
---|
| 717 | // terms will be in the same order because of quasi-ordering! |
---|
| 718 | poly v = sca_mm_Mult_m(pMonom, p, rRing); |
---|
| 719 | |
---|
| 720 | if( v != NULL ) |
---|
| 721 | { |
---|
| 722 | ppPrev = &pNext(p); |
---|
| 723 | |
---|
| 724 | // *p is changed if v != NULL ( p == v ) |
---|
| 725 | pIter(p); |
---|
| 726 | |
---|
| 727 | if( p == NULL ) |
---|
| 728 | break; |
---|
| 729 | } |
---|
| 730 | else |
---|
| 731 | { // Upps! Zero!!! we must kill this term! |
---|
| 732 | p = p_LmDeleteAndNext(p, rRing); |
---|
| 733 | |
---|
| 734 | *ppPrev = p; |
---|
| 735 | |
---|
| 736 | if( p == NULL ) |
---|
| 737 | break; |
---|
| 738 | } |
---|
| 739 | } |
---|
| 740 | |
---|
| 741 | #ifdef PDEBUG |
---|
| 742 | if( !p_Test(pPoly, rRing) ) |
---|
| 743 | { |
---|
[a610ee] | 744 | PrintS("pPoly is wrong!"); |
---|
[6dbc96] | 745 | p_Write(pPoly, rRing); |
---|
| 746 | } |
---|
| 747 | #endif |
---|
| 748 | |
---|
| 749 | return(pPoly); |
---|
| 750 | } |
---|
| 751 | |
---|
| 752 | //-----------------------------------------------------------------------------------// |
---|
| 753 | |
---|
| 754 | #ifdef PDEBUG |
---|
| 755 | #endif |
---|
| 756 | |
---|
| 757 | |
---|
| 758 | |
---|
| 759 | |
---|
| 760 | //-----------------------------------------------------------------------------------// |
---|
| 761 | |
---|
| 762 | // GB computation routines: |
---|
| 763 | |
---|
| 764 | /*4 |
---|
| 765 | * creates the S-polynomial of p1 and p2 |
---|
| 766 | * does not destroy p1 and p2 |
---|
| 767 | */ |
---|
| 768 | poly sca_SPoly( const poly p1, const poly p2, const ring r ) |
---|
| 769 | { |
---|
| 770 | assume( rIsSCA(r) ); |
---|
| 771 | |
---|
| 772 | const long lCompP1 = p_GetComp(p1,r); |
---|
| 773 | const long lCompP2 = p_GetComp(p2,r); |
---|
| 774 | |
---|
| 775 | if ((lCompP1!=lCompP2) && (lCompP1!=0) && (lCompP2!=0)) |
---|
| 776 | { |
---|
| 777 | #ifdef PDEBUG |
---|
[b1a5c1] | 778 | dReportError("sca_SPoly: different non-zero components!\n"); |
---|
[6dbc96] | 779 | #endif |
---|
| 780 | return(NULL); |
---|
| 781 | } |
---|
| 782 | |
---|
| 783 | poly pL = p_Lcm(p1, p2, si_max(lCompP1, lCompP2), r); // pL = lcm( lm(p1), lm(p2) ) |
---|
| 784 | |
---|
[b902246] | 785 | poly m1 = p_One( r); |
---|
[6dbc96] | 786 | p_ExpVectorDiff(m1, pL, p1, r); // m1 = pL / lm(p1) |
---|
[151000] | 787 | |
---|
[6dbc96] | 788 | //p_SetComp(m1,0,r); |
---|
| 789 | //p_Setm(m1,r); |
---|
| 790 | #ifdef PDEBUG |
---|
| 791 | p_Test(m1,r); |
---|
| 792 | #endif |
---|
| 793 | |
---|
| 794 | |
---|
[b902246] | 795 | poly m2 = p_One( r); |
---|
[6dbc96] | 796 | p_ExpVectorDiff (m2, pL, p2, r); // m2 = pL / lm(p2) |
---|
| 797 | |
---|
| 798 | //p_SetComp(m2,0,r); |
---|
| 799 | //p_Setm(m2,r); |
---|
| 800 | #ifdef PDEBUG |
---|
| 801 | p_Test(m2,r); |
---|
| 802 | #endif |
---|
| 803 | |
---|
| 804 | p_Delete(&pL,r); |
---|
| 805 | |
---|
| 806 | number C1 = n_Copy(p_GetCoeff(p1,r),r); // C1 = lc(p1) |
---|
| 807 | number C2 = n_Copy(p_GetCoeff(p2,r),r); // C2 = lc(p2) |
---|
| 808 | |
---|
| 809 | number C = nGcd(C1,C2,r); // C = gcd(C1, C2) |
---|
| 810 | |
---|
| 811 | if (!n_IsOne(C, r)) // if C != 1 |
---|
| 812 | { |
---|
| 813 | C1=n_Div(C1, C, r); // C1 = C1 / C |
---|
| 814 | C2=n_Div(C2, C, r); // C2 = C2 / C |
---|
| 815 | } |
---|
| 816 | |
---|
| 817 | n_Delete(&C,r); // destroy the number C |
---|
| 818 | |
---|
| 819 | const int iSignSum = sca_Sign_mm_Mult_mm (m1, p1, r) + sca_Sign_mm_Mult_mm (m2, p2, r); |
---|
| 820 | // zero if different signs |
---|
| 821 | |
---|
| 822 | assume( (iSignSum*iSignSum == 0) || (iSignSum*iSignSum == 4) ); |
---|
| 823 | |
---|
| 824 | if( iSignSum != 0 ) // the same sign! |
---|
| 825 | C2=n_Neg (C2, r); |
---|
| 826 | |
---|
| 827 | p_SetCoeff(m1, C2, r); // lc(m1) = C2!!! |
---|
| 828 | p_SetCoeff(m2, C1, r); // lc(m2) = C1!!! |
---|
| 829 | |
---|
[d5f9aea] | 830 | poly tmp1 = nc_mm_Mult_pp (m1, pNext(p1), r); // tmp1 = m1 * tail(p1), |
---|
[6dbc96] | 831 | p_Delete(&m1,r); // => n_Delete(&C1,r); |
---|
| 832 | |
---|
[d5f9aea] | 833 | poly tmp2 = nc_mm_Mult_pp (m2, pNext(p2), r); // tmp1 = m2 * tail(p2), |
---|
[6dbc96] | 834 | p_Delete(&m2,r); // => n_Delete(&C1,r); |
---|
| 835 | |
---|
| 836 | poly spoly = p_Add_q (tmp1, tmp2, r); // spoly = spoly(lt(p1), lt(p2)) + m1 * tail(p1), delete tmp1,2 |
---|
| 837 | |
---|
[a0d9be] | 838 | if (spoly!=NULL) p_Cleardenom (spoly, r); |
---|
| 839 | // if (spoly!=NULL) p_Content (spoly); // r? |
---|
[6dbc96] | 840 | |
---|
| 841 | #ifdef PDEBUG |
---|
| 842 | p_Test (spoly, r); |
---|
| 843 | #endif |
---|
| 844 | |
---|
| 845 | return(spoly); |
---|
| 846 | } |
---|
| 847 | |
---|
| 848 | |
---|
| 849 | |
---|
| 850 | |
---|
| 851 | /*2 |
---|
| 852 | * reduction of p2 with p1 |
---|
| 853 | * do not destroy p1, but p2 |
---|
| 854 | * p1 divides p2 -> for use in NF algorithm |
---|
| 855 | */ |
---|
| 856 | poly sca_ReduceSpoly(const poly p1, poly p2, const ring r) |
---|
| 857 | { |
---|
| 858 | assume( rIsSCA(r) ); |
---|
| 859 | |
---|
| 860 | assume( p1 != NULL ); |
---|
| 861 | |
---|
| 862 | const long lCompP1 = p_GetComp (p1, r); |
---|
| 863 | const long lCompP2 = p_GetComp (p2, r); |
---|
| 864 | |
---|
| 865 | if ((lCompP1!=lCompP2) && (lCompP1!=0) && (lCompP2!=0)) |
---|
| 866 | { |
---|
| 867 | #ifdef PDEBUG |
---|
[b1a5c1] | 868 | dReportError("sca_ReduceSpoly: different non-zero components!"); |
---|
[6dbc96] | 869 | #endif |
---|
| 870 | return(NULL); |
---|
| 871 | } |
---|
| 872 | |
---|
| 873 | poly m = p_ISet (1, r); |
---|
| 874 | p_ExpVectorDiff (m, p2, p1, r); // m = lm(p2) / lm(p1) |
---|
| 875 | //p_Setm(m,r); |
---|
| 876 | #ifdef PDEBUG |
---|
| 877 | p_Test (m,r); |
---|
| 878 | #endif |
---|
| 879 | |
---|
| 880 | number C1 = n_Copy( p_GetCoeff(p1, r), r); |
---|
| 881 | number C2 = n_Copy( p_GetCoeff(p2, r), r); |
---|
| 882 | |
---|
| 883 | /* GCD stuff */ |
---|
| 884 | number C = nGcd(C1, C2, r); |
---|
| 885 | |
---|
| 886 | if (!n_IsOne(C, r)) |
---|
| 887 | { |
---|
| 888 | C1 = n_Div(C1, C, r); |
---|
| 889 | C2 = n_Div(C2, C, r); |
---|
| 890 | } |
---|
| 891 | n_Delete(&C,r); |
---|
| 892 | |
---|
| 893 | const int iSign = sca_Sign_mm_Mult_mm( m, p1, r ); |
---|
| 894 | |
---|
| 895 | if(iSign == 1) |
---|
| 896 | C2 = n_Neg(C2,r); |
---|
| 897 | |
---|
| 898 | p_SetCoeff(m, C2, r); |
---|
| 899 | |
---|
| 900 | #ifdef PDEBUG |
---|
| 901 | p_Test(m,r); |
---|
| 902 | #endif |
---|
| 903 | |
---|
| 904 | p2 = p_LmDeleteAndNext( p2, r ); |
---|
| 905 | |
---|
| 906 | p2 = p_Mult_nn(p2, C1, r); // p2 !!! |
---|
| 907 | n_Delete(&C1,r); |
---|
| 908 | |
---|
[d5f9aea] | 909 | poly T = nc_mm_Mult_pp(m, pNext(p1), r); |
---|
[6dbc96] | 910 | p_Delete(&m, r); |
---|
| 911 | |
---|
| 912 | p2 = p_Add_q(p2, T, r); |
---|
| 913 | |
---|
[a0d9be] | 914 | if ( p2!=NULL ) p_Content(p2,r); |
---|
[6dbc96] | 915 | |
---|
| 916 | #ifdef PDEBUG |
---|
| 917 | p_Test(p2,r); |
---|
| 918 | #endif |
---|
| 919 | |
---|
| 920 | return(p2); |
---|
| 921 | } |
---|
| 922 | |
---|
| 923 | |
---|
| 924 | void addLObject(LObject& h, kStrategy& strat) |
---|
| 925 | { |
---|
| 926 | if(h.IsNull()) return; |
---|
| 927 | |
---|
| 928 | strat->initEcart(&h); |
---|
| 929 | h.sev=0; // pGetShortExpVector(h.p); |
---|
| 930 | |
---|
| 931 | // add h into S and L |
---|
| 932 | int pos=posInS(strat, strat->sl, h.p, h.ecart); |
---|
| 933 | |
---|
| 934 | if ( (pos <= strat->sl) && (pComparePolys(h.p, strat->S[pos])) ) |
---|
| 935 | { |
---|
| 936 | if (TEST_OPT_PROT) |
---|
| 937 | PrintS("d\n"); |
---|
| 938 | } |
---|
| 939 | else |
---|
| 940 | { |
---|
| 941 | if (TEST_OPT_INTSTRATEGY) |
---|
| 942 | { |
---|
[a0d9be] | 943 | p_Cleardenom(h.p, currRing); |
---|
[6dbc96] | 944 | } |
---|
| 945 | else |
---|
| 946 | { |
---|
| 947 | pNorm(h.p); |
---|
[a0d9be] | 948 | p_Content(h.p,currRing); |
---|
[6dbc96] | 949 | } |
---|
| 950 | |
---|
| 951 | if ((strat->syzComp==0)||(!strat->homog)) |
---|
| 952 | { |
---|
| 953 | h.p = redtailBba(h.p,pos-1,strat); |
---|
| 954 | |
---|
| 955 | if (TEST_OPT_INTSTRATEGY) |
---|
| 956 | { |
---|
| 957 | // pCleardenom(h.p); |
---|
[a0d9be] | 958 | p_Content(h.p,currRing); |
---|
[6dbc96] | 959 | } |
---|
| 960 | else |
---|
| 961 | { |
---|
| 962 | pNorm(h.p); |
---|
| 963 | } |
---|
| 964 | } |
---|
| 965 | |
---|
| 966 | if(h.IsNull()) return; |
---|
| 967 | |
---|
| 968 | /* statistic */ |
---|
| 969 | if (TEST_OPT_PROT) |
---|
| 970 | { |
---|
| 971 | PrintS("s\n"); |
---|
| 972 | } |
---|
| 973 | |
---|
[b1a5c1] | 974 | #ifdef KDEBUG |
---|
[6dbc96] | 975 | if (TEST_OPT_DEBUG) |
---|
| 976 | { |
---|
| 977 | PrintS("new s:"); |
---|
| 978 | wrp(h.p); |
---|
| 979 | PrintLn(); |
---|
| 980 | } |
---|
[b1a5c1] | 981 | #endif |
---|
[6dbc96] | 982 | |
---|
| 983 | enterpairs(h.p, strat->sl, h.ecart, 0, strat); |
---|
| 984 | |
---|
| 985 | pos=0; |
---|
| 986 | |
---|
| 987 | if (strat->sl!=-1) pos = posInS(strat, strat->sl, h.p, h.ecart); |
---|
| 988 | strat->enterS(h, pos, strat, -1); |
---|
[022ef5] | 989 | // enterT(h, strat); // ?! |
---|
[6dbc96] | 990 | |
---|
| 991 | if (h.lcm!=NULL) pLmFree(h.lcm); |
---|
| 992 | } |
---|
| 993 | |
---|
| 994 | |
---|
| 995 | } |
---|
| 996 | |
---|
[d3981f] | 997 | |
---|
| 998 | |
---|
| 999 | |
---|
[6dbc96] | 1000 | |
---|
| 1001 | ideal sca_gr_bba(const ideal F, const ideal Q, const intvec *, const intvec *, kStrategy strat) |
---|
| 1002 | { |
---|
[d3981f] | 1003 | #if MYTEST |
---|
[022ef5] | 1004 | PrintS("<sca_gr_bba>\n"); |
---|
[18ff4c] | 1005 | #endif |
---|
[d3981f] | 1006 | |
---|
[6dbc96] | 1007 | assume(rIsSCA(currRing)); |
---|
| 1008 | |
---|
[d3981f] | 1009 | #ifndef NDEBUG |
---|
| 1010 | idTest(F); |
---|
[18ff4c] | 1011 | idTest(Q); |
---|
[d3981f] | 1012 | #endif |
---|
| 1013 | |
---|
[52e2f6] | 1014 | #ifdef HAVE_PLURAL |
---|
| 1015 | #if MYTEST |
---|
| 1016 | PrintS("currRing: \n"); |
---|
| 1017 | rWrite(currRing); |
---|
| 1018 | #ifdef RDEBUG |
---|
| 1019 | rDebugPrint(currRing); |
---|
| 1020 | #endif |
---|
| 1021 | |
---|
| 1022 | PrintS("F: \n"); |
---|
[b1a5c1] | 1023 | idPrint(F); |
---|
| 1024 | PrintS("Q: \n"); |
---|
[52e2f6] | 1025 | idPrint(Q); |
---|
| 1026 | #endif |
---|
| 1027 | #endif |
---|
| 1028 | |
---|
[b1a5c1] | 1029 | |
---|
[86016d] | 1030 | const unsigned int m_iFirstAltVar = scaFirstAltVar(currRing); |
---|
| 1031 | const unsigned int m_iLastAltVar = scaLastAltVar(currRing); |
---|
[18ff4c] | 1032 | |
---|
[86016d] | 1033 | ideal tempF = id_KillSquares(F, m_iFirstAltVar, m_iLastAltVar, currRing); |
---|
[11c23c] | 1034 | ideal tempQ = Q; |
---|
| 1035 | |
---|
| 1036 | if(Q == currQuotient) |
---|
[52e2f6] | 1037 | tempQ = SCAQuotient(currRing); |
---|
[86016d] | 1038 | |
---|
[aef1b86] | 1039 | strat->z2homog = id_IsSCAHomogeneous(tempF, NULL, NULL, currRing); // wCx == wCy == NULL! |
---|
[a794e7] | 1040 | // redo: no_prod_crit |
---|
| 1041 | const BOOLEAN bIsSCA = rIsSCA(currRing) && strat->z2homog; // for Z_2 prod-crit |
---|
| 1042 | strat->no_prod_crit = ! bIsSCA; |
---|
[6dbc96] | 1043 | |
---|
[aef1b86] | 1044 | // strat->homog = strat->homog && strat->z2homog; // ? |
---|
[6dbc96] | 1045 | |
---|
[d3981f] | 1046 | #if MYTEST |
---|
[6dbc96] | 1047 | { |
---|
[a610ee] | 1048 | PrintS("ideal tempF: \n"); |
---|
[52e2f6] | 1049 | idPrint(tempF); |
---|
[a610ee] | 1050 | PrintS("ideal tempQ: \n"); |
---|
[52e2f6] | 1051 | idPrint(tempQ); |
---|
[6dbc96] | 1052 | } |
---|
| 1053 | #endif |
---|
| 1054 | |
---|
[022ef5] | 1055 | #ifdef KDEBUG |
---|
| 1056 | om_Opts.MinTrack = 5; |
---|
| 1057 | #endif |
---|
| 1058 | |
---|
[6dbc96] | 1059 | int srmax, lrmax; |
---|
| 1060 | int olddeg, reduc; |
---|
| 1061 | int red_result = 1; |
---|
[d3981f] | 1062 | // int hilbeledeg = 1, minimcnt = 0; |
---|
| 1063 | int hilbcount = 0; |
---|
[6dbc96] | 1064 | |
---|
| 1065 | initBuchMoraCrit(strat); // set Gebauer, honey, sugarCrit |
---|
| 1066 | |
---|
[86016d] | 1067 | nc_gr_initBba(tempF,strat); // set enterS, red, initEcart, initEcartPair |
---|
[6dbc96] | 1068 | |
---|
| 1069 | initBuchMoraPos(strat); |
---|
| 1070 | |
---|
| 1071 | |
---|
| 1072 | // ?? set spSpolyShort, reduce ??? |
---|
| 1073 | |
---|
[52e2f6] | 1074 | initBuchMora(tempF, tempQ, strat); // SCAQuotient(currRing) instead of Q == squares!!!!!!! |
---|
[6dbc96] | 1075 | |
---|
| 1076 | strat->posInT=posInT110; // !!! |
---|
| 1077 | |
---|
| 1078 | srmax = strat->sl; |
---|
| 1079 | reduc = olddeg = lrmax = 0; |
---|
| 1080 | |
---|
| 1081 | |
---|
| 1082 | /* compute------------------------------------------------------- */ |
---|
| 1083 | for(; strat->Ll >= 0; |
---|
| 1084 | #ifdef KDEBUG |
---|
| 1085 | strat->P.lcm = NULL, |
---|
| 1086 | #endif |
---|
| 1087 | kTest(strat) |
---|
| 1088 | ) |
---|
| 1089 | { |
---|
| 1090 | if (strat->Ll > lrmax) lrmax =strat->Ll;/*stat.*/ |
---|
| 1091 | |
---|
[b1a5c1] | 1092 | #ifdef KDEBUG |
---|
[6dbc96] | 1093 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
[b1a5c1] | 1094 | #endif |
---|
[6dbc96] | 1095 | |
---|
| 1096 | if (strat->Ll== 0) strat->interpt=TRUE; |
---|
| 1097 | |
---|
| 1098 | if (TEST_OPT_DEGBOUND |
---|
| 1099 | && ((strat->honey |
---|
| 1100 | && (strat->L[strat->Ll].ecart+pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)) |
---|
| 1101 | || ((!strat->honey) && (pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)))) |
---|
| 1102 | { |
---|
| 1103 | /* |
---|
| 1104 | *stops computation if |
---|
| 1105 | * 24 IN test and the degree +ecart of L[strat->Ll] is bigger then |
---|
| 1106 | *a predefined number Kstd1_deg |
---|
| 1107 | */ |
---|
| 1108 | while (strat->Ll >= 0) deleteInL(strat->L,&strat->Ll,strat->Ll,strat); |
---|
| 1109 | break; |
---|
| 1110 | } |
---|
| 1111 | |
---|
| 1112 | /* picks the last element from the lazyset L */ |
---|
| 1113 | strat->P = strat->L[strat->Ll]; |
---|
| 1114 | strat->Ll--; |
---|
| 1115 | |
---|
| 1116 | //kTest(strat); |
---|
| 1117 | |
---|
[52e2f6] | 1118 | // assume(pNext(strat->P.p) != strat->tail); // !??? |
---|
| 1119 | if(strat->P.IsNull()) continue; |
---|
[6dbc96] | 1120 | |
---|
[b1a5c1] | 1121 | |
---|
[52e2f6] | 1122 | if( pNext(strat->P.p) == strat->tail ) |
---|
| 1123 | { |
---|
| 1124 | // deletes the int spoly and computes SPoly |
---|
| 1125 | pLmFree(strat->P.p); // ??? |
---|
| 1126 | strat->P.p = nc_CreateSpoly(strat->P.p1, strat->P.p2, currRing); |
---|
| 1127 | } |
---|
[6dbc96] | 1128 | |
---|
| 1129 | if(strat->P.IsNull()) continue; |
---|
| 1130 | |
---|
| 1131 | // poly save = NULL; |
---|
| 1132 | // |
---|
| 1133 | // if(pNext(strat->P.p) != NULL) |
---|
| 1134 | // save = p_Copy(strat->P.p, currRing); |
---|
| 1135 | |
---|
| 1136 | strat->initEcart(&strat->P); // remove it? |
---|
| 1137 | |
---|
| 1138 | if (TEST_OPT_PROT) |
---|
| 1139 | message((strat->honey ? strat->P.ecart : 0) + strat->P.pFDeg(), &olddeg,&reduc,strat, red_result); |
---|
| 1140 | |
---|
| 1141 | // reduction of the element chosen from L wrt S |
---|
| 1142 | strat->red(&strat->P,strat); |
---|
| 1143 | |
---|
| 1144 | if(strat->P.IsNull()) continue; |
---|
| 1145 | |
---|
| 1146 | addLObject(strat->P, strat); |
---|
| 1147 | |
---|
| 1148 | if (strat->sl > srmax) srmax = strat->sl; |
---|
| 1149 | |
---|
| 1150 | const poly save = strat->P.p; |
---|
| 1151 | |
---|
| 1152 | #ifdef PDEBUG |
---|
| 1153 | p_Test(save, currRing); |
---|
| 1154 | #endif |
---|
[86016d] | 1155 | assume( save != NULL ); |
---|
[18ff4c] | 1156 | |
---|
[86016d] | 1157 | // SCA Specials: |
---|
[6dbc96] | 1158 | |
---|
[86016d] | 1159 | { |
---|
[de1dd6] | 1160 | const poly p_next = pNext(save); |
---|
[18ff4c] | 1161 | |
---|
[de1dd6] | 1162 | if( p_next != NULL ) |
---|
[6dbc96] | 1163 | for( unsigned int i = m_iFirstAltVar; i <= m_iLastAltVar; i++ ) |
---|
[86016d] | 1164 | if( p_GetExp(save, i, currRing) != 0 ) |
---|
[6dbc96] | 1165 | { |
---|
[86016d] | 1166 | assume(p_GetExp(save, i, currRing) == 1); |
---|
[18ff4c] | 1167 | |
---|
[de1dd6] | 1168 | const poly tt = sca_pp_Mult_xi_pp(i, p_next, currRing); |
---|
[6dbc96] | 1169 | |
---|
| 1170 | #ifdef PDEBUG |
---|
| 1171 | p_Test(tt, currRing); |
---|
| 1172 | #endif |
---|
| 1173 | |
---|
| 1174 | if( tt == NULL) continue; |
---|
| 1175 | |
---|
| 1176 | LObject h(tt); // h = x_i * P |
---|
| 1177 | |
---|
| 1178 | if (TEST_OPT_INTSTRATEGY) |
---|
| 1179 | { |
---|
[a0d9be] | 1180 | // h.pCleardenom(); // also does a p_Content |
---|
| 1181 | p_Content(h.p,currRing); |
---|
[6dbc96] | 1182 | } |
---|
| 1183 | else |
---|
| 1184 | { |
---|
| 1185 | h.pNorm(); |
---|
| 1186 | } |
---|
| 1187 | |
---|
| 1188 | strat->initEcart(&h); |
---|
| 1189 | |
---|
| 1190 | |
---|
| 1191 | // if (pOrdSgn==-1) |
---|
| 1192 | // { |
---|
| 1193 | // cancelunit(&h); // tries to cancel a unit |
---|
| 1194 | // deleteHC(&h, strat); |
---|
| 1195 | // } |
---|
| 1196 | |
---|
| 1197 | // if(h.IsNull()) continue; |
---|
| 1198 | |
---|
| 1199 | // if (TEST_OPT_PROT) |
---|
| 1200 | // message((strat->honey ? h.ecart : 0) + h.pFDeg(), &olddeg, &reduc, strat, red_result); |
---|
| 1201 | |
---|
| 1202 | // strat->red(&h, strat); // wrt S |
---|
| 1203 | // if(h.IsNull()) continue; |
---|
| 1204 | |
---|
[86016d] | 1205 | // poly save = p_Copy(h.p, currRing); |
---|
[6dbc96] | 1206 | |
---|
| 1207 | int pos; |
---|
| 1208 | |
---|
| 1209 | if (strat->Ll==-1) |
---|
| 1210 | pos =0; |
---|
| 1211 | else |
---|
| 1212 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
---|
| 1213 | |
---|
| 1214 | h.sev = pGetShortExpVector(h.p); |
---|
| 1215 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos); |
---|
| 1216 | |
---|
| 1217 | // h.p = save; |
---|
| 1218 | // addLObject(h, strat); |
---|
| 1219 | |
---|
| 1220 | // if (strat->sl > srmax) srmax = strat->sl; |
---|
| 1221 | } |
---|
| 1222 | |
---|
| 1223 | // p_Delete( &save, currRing ); |
---|
| 1224 | } |
---|
| 1225 | |
---|
| 1226 | |
---|
| 1227 | } // for(;;) |
---|
| 1228 | |
---|
| 1229 | |
---|
[b1a5c1] | 1230 | #ifdef KDEBUG |
---|
[6dbc96] | 1231 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
[b1a5c1] | 1232 | #endif |
---|
[6dbc96] | 1233 | |
---|
[cf315c] | 1234 | if (TEST_OPT_REDSB){ |
---|
| 1235 | completeReduce(strat); // ??? |
---|
| 1236 | } |
---|
[26b68f] | 1237 | |
---|
[6dbc96] | 1238 | /* release temp data-------------------------------- */ |
---|
| 1239 | exitBuchMora(strat); |
---|
| 1240 | |
---|
| 1241 | if (TEST_OPT_WEIGHTM) |
---|
| 1242 | { |
---|
| 1243 | pFDeg=pFDegOld; |
---|
| 1244 | pLDeg=pLDegOld; |
---|
| 1245 | if (ecartWeights) |
---|
| 1246 | { |
---|
| 1247 | omFreeSize((ADDRESS)ecartWeights,(pVariables+1)*sizeof(int)); |
---|
| 1248 | ecartWeights=NULL; |
---|
| 1249 | } |
---|
| 1250 | } |
---|
| 1251 | |
---|
| 1252 | if (TEST_OPT_PROT) messageStat(srmax,lrmax,hilbcount,strat); |
---|
| 1253 | |
---|
[86016d] | 1254 | if (tempQ!=NULL) updateResult(strat->Shdl,tempQ,strat); |
---|
[18ff4c] | 1255 | |
---|
[86016d] | 1256 | id_Delete(&tempF, currRing); |
---|
[6dbc96] | 1257 | |
---|
| 1258 | |
---|
| 1259 | /* complete reduction of the standard basis--------- */ |
---|
| 1260 | if (TEST_OPT_REDSB){ |
---|
| 1261 | ideal I = strat->Shdl; |
---|
[e7c6b22] | 1262 | ideal erg = kInterRedOld(I,tempQ); |
---|
[6dbc96] | 1263 | assume(I!=erg); |
---|
| 1264 | id_Delete(&I, currRing); |
---|
| 1265 | strat->Shdl = erg; |
---|
| 1266 | } |
---|
| 1267 | |
---|
| 1268 | |
---|
[d3981f] | 1269 | #if MYTEST |
---|
[52e2f6] | 1270 | // PrintS("</sca_gr_bba>\n"); |
---|
[6dbc96] | 1271 | #endif |
---|
| 1272 | |
---|
| 1273 | return (strat->Shdl); |
---|
| 1274 | } |
---|
| 1275 | |
---|
| 1276 | |
---|
[86016d] | 1277 | // should be used only inside nc_SetupQuotient! |
---|
| 1278 | // Check whether this our case: |
---|
| 1279 | // 1. rG is a commutative polynomial ring \otimes anticommutative algebra |
---|
| 1280 | // 2. factor ideal rGR->qideal contains squares of all alternating variables. |
---|
[18ff4c] | 1281 | // |
---|
[86016d] | 1282 | // if yes, make rGR a super-commutative algebra! |
---|
| 1283 | // NOTE: Factors of SuperCommutative Algebras are supported this way! |
---|
[52e2f6] | 1284 | // |
---|
| 1285 | // rG == NULL means that there is no separate base G-algebra in this case take rGR == rG |
---|
[022ef5] | 1286 | |
---|
| 1287 | // special case: bCopy == true (default value: false) |
---|
| 1288 | // meaning: rGR copies structure from rG |
---|
| 1289 | // (maybe with some minor changes, which don't change the type!) |
---|
| 1290 | bool sca_SetupQuotient(ring rGR, ring rG, bool bCopy) |
---|
[6dbc96] | 1291 | { |
---|
| 1292 | |
---|
| 1293 | ////////////////////////////////////////////////////////////////////////// |
---|
| 1294 | // checks... |
---|
| 1295 | ////////////////////////////////////////////////////////////////////////// |
---|
[b1a5c1] | 1296 | if( rG == NULL ) |
---|
[52e2f6] | 1297 | rG = rGR; |
---|
| 1298 | |
---|
[6dbc96] | 1299 | assume(rGR != NULL); |
---|
| 1300 | assume(rG != NULL); |
---|
| 1301 | assume(rIsPluralRing(rG)); |
---|
[b1a5c1] | 1302 | |
---|
[7d9b62] | 1303 | #if ((defined(PDEBUG) && OUTPUT) || MYTEST) |
---|
[022ef5] | 1304 | PrintS("sca_SetupQuotient(rGR, rG, bCopy)"); |
---|
| 1305 | |
---|
| 1306 | { |
---|
[609fa7] | 1307 | ring rSaveRing = assureCurrentRing(rG); |
---|
[022ef5] | 1308 | |
---|
| 1309 | PrintS("\nrG: \n"); rWrite(rG); |
---|
| 1310 | |
---|
[609fa7] | 1311 | assureCurrentRing(rGR); |
---|
[022ef5] | 1312 | |
---|
| 1313 | PrintS("\nrGR: \n"); rWrite(rGR); |
---|
| 1314 | |
---|
| 1315 | PrintLn(); |
---|
[26b68f] | 1316 | |
---|
[609fa7] | 1317 | assureCurrentRing(rSaveRing); |
---|
[26b68f] | 1318 | } |
---|
[06879b7] | 1319 | #endif |
---|
[26b68f] | 1320 | |
---|
[022ef5] | 1321 | |
---|
| 1322 | if(bCopy) |
---|
| 1323 | { |
---|
| 1324 | if(rIsSCA(rG) && (rG != rGR)) |
---|
| 1325 | return sca_Force(rGR, scaFirstAltVar(rG), scaLastAltVar(rG)); |
---|
| 1326 | else |
---|
| 1327 | return false; |
---|
| 1328 | } |
---|
[06879b7] | 1329 | |
---|
[022ef5] | 1330 | assume(!bCopy); |
---|
[26b68f] | 1331 | |
---|
[52e2f6] | 1332 | const int N = rG->N; |
---|
| 1333 | |
---|
| 1334 | if(N < 2) |
---|
| 1335 | return false; |
---|
[06879b7] | 1336 | |
---|
[b1a5c1] | 1337 | |
---|
[06879b7] | 1338 | // if( (ncRingType(rG) != nc_skew) || (ncRingType(rG) != nc_comm) ) |
---|
| 1339 | // return false; |
---|
[6dbc96] | 1340 | |
---|
[52e2f6] | 1341 | #if OUTPUT |
---|
| 1342 | PrintS("sca_SetupQuotient: qring?\n"); |
---|
| 1343 | #endif |
---|
| 1344 | |
---|
[022ef5] | 1345 | if(rGR->qideal == NULL) // there should be a factor! |
---|
[86016d] | 1346 | return false; |
---|
[6dbc96] | 1347 | |
---|
[52e2f6] | 1348 | #if OUTPUT |
---|
| 1349 | PrintS("sca_SetupQuotient: qideal!!!\n"); |
---|
| 1350 | #endif |
---|
[b1a5c1] | 1351 | |
---|
[022ef5] | 1352 | // if((rG->qideal != NULL) && (rG != rGR) ) // we cannot change from factor to factor at the time, sorry! |
---|
| 1353 | // return false; |
---|
[6dbc96] | 1354 | |
---|
| 1355 | |
---|
[86016d] | 1356 | int iAltVarEnd = -1; |
---|
| 1357 | int iAltVarStart = N+1; |
---|
[6dbc96] | 1358 | |
---|
[7d9b62] | 1359 | const nc_struct* NC = rG->GetNC(); |
---|
[26b68f] | 1360 | const ring rBase = rG; //NC->basering; |
---|
[7d9b62] | 1361 | const matrix C = NC->C; // live in rBase! |
---|
| 1362 | const matrix D = NC->D; // live in rBase! |
---|
[6dbc96] | 1363 | |
---|
[52e2f6] | 1364 | #if OUTPUT |
---|
| 1365 | PrintS("sca_SetupQuotient: AltVars?!\n"); |
---|
| 1366 | #endif |
---|
[b1a5c1] | 1367 | |
---|
[86016d] | 1368 | for(int i = 1; i < N; i++) |
---|
[6dbc96] | 1369 | { |
---|
[86016d] | 1370 | for(int j = i + 1; j <= N; j++) |
---|
[6dbc96] | 1371 | { |
---|
[7d9b62] | 1372 | if( MATELEM(D,i,j) != NULL) // !!!??? |
---|
| 1373 | { |
---|
| 1374 | #if ((defined(PDEBUG) && OUTPUT) || MYTEST) |
---|
| 1375 | Print("Nonzero D[%d, %d]\n", i, j); |
---|
| 1376 | #endif |
---|
| 1377 | return false; |
---|
| 1378 | } |
---|
[26b68f] | 1379 | |
---|
| 1380 | |
---|
[86016d] | 1381 | assume(MATELEM(C,i,j) != NULL); // after CallPlural! |
---|
| 1382 | number c = p_GetCoeff(MATELEM(C,i,j), rBase); |
---|
[18ff4c] | 1383 | |
---|
[022ef5] | 1384 | if( n_IsMOne(c, rBase) ) // !!!??? |
---|
[18ff4c] | 1385 | { |
---|
| 1386 | if( i < iAltVarStart) |
---|
[86016d] | 1387 | iAltVarStart = i; |
---|
[18ff4c] | 1388 | |
---|
[86016d] | 1389 | if( j > iAltVarEnd) |
---|
| 1390 | iAltVarEnd = j; |
---|
| 1391 | } else |
---|
[6dbc96] | 1392 | { |
---|
[86016d] | 1393 | if( !n_IsOne(c, rBase) ) |
---|
[6dbc96] | 1394 | { |
---|
[7d9b62] | 1395 | #if ((defined(PDEBUG) && OUTPUT) || MYTEST) |
---|
[52e2f6] | 1396 | Print("Wrong Coeff at: [%d, %d]\n", i, j); |
---|
[86016d] | 1397 | #endif |
---|
| 1398 | return false; |
---|
[6dbc96] | 1399 | } |
---|
| 1400 | } |
---|
| 1401 | } |
---|
| 1402 | } |
---|
| 1403 | |
---|
[7d9b62] | 1404 | #if ((defined(PDEBUG) && OUTPUT) || MYTEST) |
---|
[52e2f6] | 1405 | Print("AltVars?1: [%d, %d]\n", iAltVarStart, iAltVarEnd); |
---|
| 1406 | #endif |
---|
| 1407 | |
---|
[b1a5c1] | 1408 | |
---|
[86016d] | 1409 | if( (iAltVarEnd == -1) || (iAltVarStart == (N+1)) ) |
---|
| 1410 | return false; // either no alternating varables, or a single one => we are in commutative case! |
---|
[18ff4c] | 1411 | |
---|
[b1a5c1] | 1412 | |
---|
[cb3cec] | 1413 | for(int i = 1; i < N; i++) |
---|
| 1414 | { |
---|
| 1415 | for(int j = i + 1; j <= N; j++) |
---|
| 1416 | { |
---|
| 1417 | assume(MATELEM(C,i,j) != NULL); // after CallPlural! |
---|
[18ff4c] | 1418 | number c = p_GetCoeff(MATELEM(C,i,j), rBase); |
---|
[6dbc96] | 1419 | |
---|
[cb3cec] | 1420 | if( (iAltVarStart <= i) && (j <= iAltVarEnd) ) // S <= i < j <= E |
---|
| 1421 | { // anticommutative part |
---|
| 1422 | if( !n_IsMOne(c, rBase) ) |
---|
| 1423 | { |
---|
[7d9b62] | 1424 | #if ((defined(PDEBUG) && OUTPUT) || MYTEST) |
---|
[06879b7] | 1425 | Print("Wrong Coeff at: [%d, %d]\n", i, j); |
---|
[cb3cec] | 1426 | #endif |
---|
| 1427 | return false; |
---|
| 1428 | } |
---|
| 1429 | } else |
---|
| 1430 | { // should commute |
---|
| 1431 | if( !n_IsOne(c, rBase) ) |
---|
| 1432 | { |
---|
[7d9b62] | 1433 | #if ((defined(PDEBUG) && OUTPUT) || MYTEST) |
---|
[06879b7] | 1434 | Print("Wrong Coeff at: [%d, %d]\n", i, j); |
---|
[cb3cec] | 1435 | #endif |
---|
| 1436 | return false; |
---|
| 1437 | } |
---|
| 1438 | } |
---|
| 1439 | } |
---|
| 1440 | } |
---|
[6dbc96] | 1441 | |
---|
[7d9b62] | 1442 | #if ((defined(PDEBUG) && OUTPUT) || MYTEST) |
---|
[52e2f6] | 1443 | Print("AltVars!?: [%d, %d]\n", iAltVarStart, iAltVarEnd); |
---|
| 1444 | #endif |
---|
| 1445 | |
---|
[86016d] | 1446 | assume( 1 <= iAltVarStart ); |
---|
| 1447 | assume( iAltVarStart < iAltVarEnd ); |
---|
| 1448 | assume( iAltVarEnd <= N ); |
---|
| 1449 | |
---|
[52e2f6] | 1450 | |
---|
[609fa7] | 1451 | ring rSaveRing = assureCurrentRing(rG); |
---|
[86016d] | 1452 | |
---|
[b1a5c1] | 1453 | |
---|
[86016d] | 1454 | assume(rGR->qideal != NULL); |
---|
[022ef5] | 1455 | assume(rGR->N == rG->N); |
---|
[52e2f6] | 1456 | // assume(rG->qideal == NULL); // ? |
---|
[18ff4c] | 1457 | |
---|
[86016d] | 1458 | const ideal idQuotient = rGR->qideal; |
---|
| 1459 | |
---|
[52e2f6] | 1460 | |
---|
[7d9b62] | 1461 | #if ((defined(PDEBUG) && OUTPUT) || MYTEST) |
---|
[a610ee] | 1462 | PrintS("Analyzing quotient ideal:\n"); |
---|
[52e2f6] | 1463 | idPrint(idQuotient); // in rG!!! |
---|
| 1464 | #endif |
---|
| 1465 | |
---|
[b1a5c1] | 1466 | |
---|
[18ff4c] | 1467 | // check for |
---|
| 1468 | // y_{iAltVarStart}^2, y_{iAltVarStart+1}^2, \ldots, y_{iAltVarEnd}^2 (iAltVarEnd > iAltVarStart) |
---|
[86016d] | 1469 | // to be within quotient ideal. |
---|
| 1470 | |
---|
| 1471 | bool bSCA = true; |
---|
| 1472 | |
---|
[e76ba8d] | 1473 | int b = N+1; |
---|
[26b68f] | 1474 | int e = -1; |
---|
[022ef5] | 1475 | |
---|
| 1476 | if(rIsSCA(rG)) |
---|
| 1477 | { |
---|
[e76ba8d] | 1478 | b = si_min(b, scaFirstAltVar(rG)); |
---|
| 1479 | e = si_max(e, scaLastAltVar(rG)); |
---|
[022ef5] | 1480 | |
---|
[7d9b62] | 1481 | #if ((defined(PDEBUG) && OUTPUT) || MYTEST) |
---|
[022ef5] | 1482 | Print("AltVars!?: [%d, %d]\n", b, e); |
---|
| 1483 | #endif |
---|
| 1484 | } |
---|
| 1485 | |
---|
[86016d] | 1486 | for ( int i = iAltVarStart; (i <= iAltVarEnd) && bSCA; i++ ) |
---|
[022ef5] | 1487 | if( (i < b) || (i > e) ) // otherwise it's ok since rG is an SCA! |
---|
[86016d] | 1488 | { |
---|
[b902246] | 1489 | poly square = p_One( rG); |
---|
[52e2f6] | 1490 | p_SetExp(square, i, 2, rG); // square = var(i)^2. |
---|
| 1491 | p_Setm(square, rG); |
---|
[86016d] | 1492 | |
---|
| 1493 | // square = NF( var(i)^2 | Q ) |
---|
[18ff4c] | 1494 | // NOTE: rSaveRing == currRing now! |
---|
[86016d] | 1495 | // NOTE: there is no better way to check this in general! |
---|
[71b676] | 1496 | square = kNF(idQuotient, NULL, square, 0, 1); // must ran in currRing == rG! |
---|
[18ff4c] | 1497 | |
---|
[86016d] | 1498 | if( square != NULL ) // var(i)^2 is not in Q? |
---|
| 1499 | { |
---|
[52e2f6] | 1500 | p_Delete(&square, rG); |
---|
[18ff4c] | 1501 | bSCA = false; |
---|
[71b676] | 1502 | break; |
---|
[18ff4c] | 1503 | } |
---|
[86016d] | 1504 | } |
---|
[18ff4c] | 1505 | |
---|
[609fa7] | 1506 | assureCurrentRing(rSaveRing); |
---|
[26b68f] | 1507 | |
---|
[86016d] | 1508 | if(!bSCA) return false; |
---|
[18ff4c] | 1509 | |
---|
[86016d] | 1510 | |
---|
[7d9b62] | 1511 | #if ((defined(PDEBUG) && OUTPUT) || MYTEST) |
---|
[52e2f6] | 1512 | Print("ScaVars!: [%d, %d]\n", iAltVarStart, iAltVarEnd); |
---|
[86016d] | 1513 | #endif |
---|
[b1a5c1] | 1514 | |
---|
[86016d] | 1515 | |
---|
[6dbc96] | 1516 | ////////////////////////////////////////////////////////////////////////// |
---|
[86016d] | 1517 | // ok... here we go. let's setup it!!! |
---|
[6dbc96] | 1518 | ////////////////////////////////////////////////////////////////////////// |
---|
[86016d] | 1519 | ideal tempQ = id_KillSquares(idQuotient, iAltVarStart, iAltVarEnd, rG); // in rG!!! |
---|
| 1520 | |
---|
[18ff4c] | 1521 | |
---|
[7d9b62] | 1522 | #if ((defined(PDEBUG) && OUTPUT) || MYTEST) |
---|
[a610ee] | 1523 | PrintS("Quotient: \n"); |
---|
[022ef5] | 1524 | iiWriteMatrix((matrix)idQuotient,"__",1); |
---|
[a610ee] | 1525 | PrintS("tempSCAQuotient: \n"); |
---|
[022ef5] | 1526 | iiWriteMatrix((matrix)tempQ,"__",1); |
---|
| 1527 | #endif |
---|
[26b68f] | 1528 | |
---|
[022ef5] | 1529 | idSkipZeroes( tempQ ); |
---|
[6dbc96] | 1530 | |
---|
| 1531 | ncRingType( rGR, nc_exterior ); |
---|
| 1532 | |
---|
| 1533 | scaFirstAltVar( rGR, iAltVarStart ); |
---|
| 1534 | scaLastAltVar( rGR, iAltVarEnd ); |
---|
[26b68f] | 1535 | |
---|
[022ef5] | 1536 | if( idIs0(tempQ) ) |
---|
| 1537 | rGR->GetNC()->SCAQuotient() = NULL; |
---|
| 1538 | else |
---|
| 1539 | rGR->GetNC()->SCAQuotient() = idrMoveR(tempQ, rG, rGR); // deletes tempQ! |
---|
[6dbc96] | 1540 | |
---|
[52e2f6] | 1541 | nc_p_ProcsSet(rGR, rGR->p_Procs); // !!!!!!!!!!!!!!!!! |
---|
[18ff4c] | 1542 | |
---|
[022ef5] | 1543 | |
---|
[7d9b62] | 1544 | #if ((defined(PDEBUG) && OUTPUT) || MYTEST) |
---|
[a610ee] | 1545 | PrintS("SCAQuotient: \n"); |
---|
[022ef5] | 1546 | if(tempQ != NULL) |
---|
| 1547 | iiWriteMatrix((matrix)tempQ,"__",1); |
---|
| 1548 | else |
---|
[a610ee] | 1549 | PrintS("(NULL)\n"); |
---|
[022ef5] | 1550 | #endif |
---|
[26b68f] | 1551 | |
---|
[6dbc96] | 1552 | return true; |
---|
| 1553 | } |
---|
| 1554 | |
---|
[06879b7] | 1555 | |
---|
[022ef5] | 1556 | bool sca_Force(ring rGR, int b, int e) |
---|
[06879b7] | 1557 | { |
---|
| 1558 | assume(rGR != NULL); |
---|
| 1559 | assume(rIsPluralRing(rGR)); |
---|
| 1560 | assume(!rIsSCA(rGR)); |
---|
[b1a5c1] | 1561 | |
---|
[06879b7] | 1562 | const int N = rGR->N; |
---|
| 1563 | |
---|
| 1564 | ring rSaveRing = currRing; |
---|
| 1565 | |
---|
| 1566 | if(rSaveRing != rGR) |
---|
| 1567 | rChangeCurrRing(rGR); |
---|
| 1568 | |
---|
| 1569 | const ideal idQuotient = rGR->qideal; |
---|
| 1570 | |
---|
| 1571 | ideal tempQ = idQuotient; |
---|
| 1572 | |
---|
| 1573 | if( b <= N && e >= 1 ) |
---|
[b1a5c1] | 1574 | tempQ = id_KillSquares(idQuotient, b, e, rGR); |
---|
[06879b7] | 1575 | |
---|
| 1576 | idSkipZeroes( tempQ ); |
---|
| 1577 | |
---|
[cf315c] | 1578 | ncRingType( rGR, nc_exterior ); |
---|
| 1579 | |
---|
[06879b7] | 1580 | if( idIs0(tempQ) ) |
---|
[52e2f6] | 1581 | rGR->GetNC()->SCAQuotient() = NULL; |
---|
[06879b7] | 1582 | else |
---|
[52e2f6] | 1583 | rGR->GetNC()->SCAQuotient() = tempQ; |
---|
[b1a5c1] | 1584 | |
---|
[26b68f] | 1585 | |
---|
[06879b7] | 1586 | scaFirstAltVar( rGR, b ); |
---|
| 1587 | scaLastAltVar( rGR, e ); |
---|
| 1588 | |
---|
| 1589 | |
---|
[52e2f6] | 1590 | nc_p_ProcsSet(rGR, rGR->p_Procs); |
---|
[06879b7] | 1591 | |
---|
| 1592 | if(rSaveRing != rGR) |
---|
| 1593 | rChangeCurrRing(rSaveRing); |
---|
[b1a5c1] | 1594 | |
---|
[06879b7] | 1595 | return true; |
---|
| 1596 | } |
---|
| 1597 | |
---|
[6dbc96] | 1598 | // return x_i * pPoly; preserve pPoly. |
---|
[651f6f] | 1599 | poly sca_pp_Mult_xi_pp(unsigned int i, const poly pPoly, const ring rRing) |
---|
[6dbc96] | 1600 | { |
---|
| 1601 | assume(1 <= i); |
---|
[d3981f] | 1602 | assume(i <= (unsigned int)rRing->N); |
---|
[6dbc96] | 1603 | |
---|
| 1604 | if(rIsSCA(rRing)) |
---|
| 1605 | return sca_xi_Mult_pp(i, pPoly, rRing); |
---|
| 1606 | |
---|
| 1607 | |
---|
| 1608 | |
---|
[b902246] | 1609 | poly xi = p_One( rRing); |
---|
[6dbc96] | 1610 | p_SetExp(xi, i, 1, rRing); |
---|
| 1611 | p_Setm(xi, rRing); |
---|
| 1612 | |
---|
| 1613 | poly pResult = pp_Mult_qq(xi, pPoly, rRing); |
---|
| 1614 | |
---|
| 1615 | p_Delete( &xi, rRing); |
---|
| 1616 | |
---|
| 1617 | return pResult; |
---|
| 1618 | |
---|
| 1619 | } |
---|
| 1620 | |
---|
| 1621 | |
---|
| 1622 | /////////////////////////////////////////////////////////////////////////////////////// |
---|
| 1623 | //************* SCA BBA *************************************************************// |
---|
| 1624 | /////////////////////////////////////////////////////////////////////////////////////// |
---|
| 1625 | |
---|
| 1626 | // Under development!!! |
---|
[d3981f] | 1627 | ideal sca_bba (const ideal F, const ideal Q, const intvec *w, const intvec * /*hilb*/, kStrategy strat) |
---|
[6dbc96] | 1628 | { |
---|
[022ef5] | 1629 | #if MYTEST |
---|
| 1630 | PrintS("\n\n<sca_bba>\n\n"); |
---|
| 1631 | #endif |
---|
| 1632 | |
---|
[6dbc96] | 1633 | assume(rIsSCA(currRing)); |
---|
| 1634 | |
---|
[022ef5] | 1635 | #ifndef NDEBUG |
---|
| 1636 | idTest(F); |
---|
| 1637 | idTest(Q); |
---|
| 1638 | #endif |
---|
| 1639 | |
---|
| 1640 | #if MYTEST |
---|
| 1641 | PrintS("\ncurrRing: \n"); |
---|
| 1642 | rWrite(currRing); |
---|
| 1643 | #ifdef RDEBUG |
---|
| 1644 | // rDebugPrint(currRing); |
---|
| 1645 | #endif |
---|
| 1646 | |
---|
| 1647 | PrintS("\n\nF: \n"); |
---|
| 1648 | idPrint(F); |
---|
| 1649 | PrintS("\n\nQ: \n"); |
---|
| 1650 | idPrint(Q); |
---|
| 1651 | |
---|
| 1652 | PrintLn(); |
---|
| 1653 | #endif |
---|
[26b68f] | 1654 | |
---|
[022ef5] | 1655 | |
---|
[86016d] | 1656 | const unsigned int m_iFirstAltVar = scaFirstAltVar(currRing); |
---|
| 1657 | const unsigned int m_iLastAltVar = scaLastAltVar(currRing); |
---|
| 1658 | |
---|
[ab5a00] | 1659 | ideal tempF = id_KillSquares(F, m_iFirstAltVar, m_iLastAltVar, currRing); |
---|
| 1660 | |
---|
[11c23c] | 1661 | ideal tempQ = Q; |
---|
| 1662 | |
---|
| 1663 | if(Q == currQuotient) |
---|
[52e2f6] | 1664 | tempQ = SCAQuotient(currRing); |
---|
[11c23c] | 1665 | |
---|
[18ff4c] | 1666 | // Q or tempQ will not be used below :((( |
---|
[11c23c] | 1667 | |
---|
[022ef5] | 1668 | |
---|
| 1669 | #if MYTEST |
---|
| 1670 | |
---|
| 1671 | PrintS("tempF: \n"); |
---|
| 1672 | idPrint(tempF); |
---|
| 1673 | PrintS("tempQ: \n"); |
---|
| 1674 | idPrint(tempQ); |
---|
| 1675 | #endif |
---|
[26b68f] | 1676 | |
---|
[aef1b86] | 1677 | strat->z2homog = id_IsSCAHomogeneous(tempF, NULL, NULL, currRing); // wCx == wCy == NULL! |
---|
[a794e7] | 1678 | // redo no_prod_crit: |
---|
| 1679 | const BOOLEAN bIsSCA = rIsSCA(currRing) && strat->z2homog; // for Z_2 prod-crit |
---|
| 1680 | strat->no_prod_crit = ! bIsSCA; |
---|
[86016d] | 1681 | |
---|
[aef1b86] | 1682 | // strat->homog = strat->homog && strat->z2homog; // ? |
---|
[6dbc96] | 1683 | |
---|
| 1684 | |
---|
[26b68f] | 1685 | |
---|
[022ef5] | 1686 | #ifdef KDEBUG |
---|
| 1687 | om_Opts.MinTrack = 5; |
---|
| 1688 | #endif |
---|
[26b68f] | 1689 | |
---|
[6dbc96] | 1690 | int srmax, lrmax, red_result = 1; |
---|
| 1691 | int olddeg, reduc; |
---|
[d3981f] | 1692 | |
---|
| 1693 | // int hilbeledeg = 1, minimcnt = 0; |
---|
| 1694 | int hilbcount = 0; |
---|
[6dbc96] | 1695 | |
---|
| 1696 | BOOLEAN withT = FALSE; |
---|
| 1697 | |
---|
| 1698 | initBuchMoraCrit(strat); // sets Gebauer, honey, sugarCrit // sca - ok??? |
---|
| 1699 | initBuchMoraPos(strat); // sets strat->posInL, strat->posInT // check!! (Plural's: ) |
---|
| 1700 | |
---|
| 1701 | // initHilbCrit(F, Q, &hilb, strat); |
---|
| 1702 | |
---|
[86016d] | 1703 | // nc_gr_initBba(F,strat); |
---|
[ab5a00] | 1704 | initBba(tempF, strat); // set enterS, red, initEcart, initEcartPair |
---|
[6dbc96] | 1705 | |
---|
| 1706 | /*set enterS, spSpolyShort, reduce, red, initEcart, initEcartPair*/ |
---|
| 1707 | // ?? set spSpolyShort, reduce ??? |
---|
[b1c0a9] | 1708 | initBuchMora(tempF, tempQ, strat); // tempQ = Q without squares!!! |
---|
[6dbc96] | 1709 | |
---|
| 1710 | // if (strat->minim>0) strat->M = idInit(IDELEMS(F),F->rank); |
---|
| 1711 | |
---|
| 1712 | srmax = strat->sl; |
---|
| 1713 | reduc = olddeg = lrmax = 0; |
---|
| 1714 | |
---|
| 1715 | #define NO_BUCKETS |
---|
| 1716 | |
---|
| 1717 | #ifndef NO_BUCKETS |
---|
| 1718 | if (!TEST_OPT_NOT_BUCKETS) |
---|
| 1719 | strat->use_buckets = 1; |
---|
| 1720 | #endif |
---|
| 1721 | |
---|
| 1722 | // redtailBBa against T for inhomogenous input |
---|
[228b631] | 1723 | if (!TEST_OPT_OLDSTD) |
---|
[6dbc96] | 1724 | withT = ! strat->homog; |
---|
| 1725 | |
---|
| 1726 | // strat->posInT = posInT_pLength; |
---|
| 1727 | kTest_TS(strat); |
---|
| 1728 | |
---|
| 1729 | #undef HAVE_TAIL_RING |
---|
| 1730 | |
---|
| 1731 | #ifdef HAVE_TAIL_RING |
---|
[c656700] | 1732 | if(!idIs0(F) &&(!rField_is_Ring())) // create strong gcd poly computes with tailring and S[i] ->to be fixed |
---|
| 1733 | kStratInitChangeTailRing(strat); |
---|
[6dbc96] | 1734 | #endif |
---|
[c656700] | 1735 | if (BVERBOSE(23)) |
---|
| 1736 | { |
---|
| 1737 | if (test_PosInT!=NULL) strat->posInT=test_PosInT; |
---|
| 1738 | if (test_PosInL!=NULL) strat->posInL=test_PosInL; |
---|
| 1739 | kDebugPrint(strat); |
---|
| 1740 | } |
---|
| 1741 | |
---|
[6dbc96] | 1742 | |
---|
| 1743 | /////////////////////////////////////////////////////////////// |
---|
| 1744 | // SCA: |
---|
| 1745 | |
---|
[b1c0a9] | 1746 | // due to std( SB, p). |
---|
| 1747 | // Note that after initBuchMora :: initSSpecial all these additional |
---|
| 1748 | // elements are in S and T (and some pairs are in L, which also has no initiall |
---|
| 1749 | // elements!!!) |
---|
| 1750 | if(TEST_OPT_SB_1) |
---|
| 1751 | { |
---|
| 1752 | // For all additional elements... |
---|
| 1753 | for (int iNewElement = strat->newIdeal; iNewElement < IDELEMS(tempF); iNewElement++) |
---|
| 1754 | { |
---|
| 1755 | const poly pSave = tempF->m[iNewElement]; |
---|
| 1756 | |
---|
| 1757 | if( pSave != NULL ) |
---|
| 1758 | { |
---|
| 1759 | // tempF->m[iNewElement] = NULL; |
---|
| 1760 | |
---|
| 1761 | const poly p_next = pNext(pSave); |
---|
| 1762 | |
---|
| 1763 | if(p_next != NULL) |
---|
| 1764 | for( unsigned int i = m_iFirstAltVar; i <= m_iLastAltVar; i++ ) |
---|
| 1765 | if( p_GetExp(pSave, i, currRing) != 0 ) |
---|
| 1766 | { |
---|
| 1767 | assume(p_GetExp(pSave, i, currRing) == 1); |
---|
| 1768 | |
---|
| 1769 | const poly p_new = sca_pp_Mult_xi_pp(i, p_next, currRing); |
---|
| 1770 | |
---|
| 1771 | #ifdef PDEBUG |
---|
| 1772 | p_Test(p_new, currRing); |
---|
| 1773 | #endif |
---|
| 1774 | |
---|
| 1775 | if( p_new == NULL) continue; |
---|
| 1776 | |
---|
| 1777 | LObject h(p_new); // h = x_i * strat->P |
---|
[c656700] | 1778 | h.is_special = TRUE; |
---|
[b1c0a9] | 1779 | |
---|
| 1780 | if (TEST_OPT_INTSTRATEGY) |
---|
[a0d9be] | 1781 | h.pCleardenom(); // also does a p_Content |
---|
[b1c0a9] | 1782 | else |
---|
| 1783 | h.pNorm(); |
---|
| 1784 | |
---|
| 1785 | strat->initEcart(&h); |
---|
| 1786 | h.sev = pGetShortExpVector(h.p); |
---|
| 1787 | |
---|
| 1788 | int pos = 0; |
---|
| 1789 | |
---|
| 1790 | if (strat->Ll != -1) |
---|
| 1791 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
---|
| 1792 | |
---|
| 1793 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos); |
---|
[26b68f] | 1794 | } |
---|
| 1795 | } |
---|
[b1c0a9] | 1796 | } |
---|
[26b68f] | 1797 | } |
---|
[b1c0a9] | 1798 | |
---|
[6dbc96] | 1799 | /* compute------------------------------------------------------- */ |
---|
| 1800 | while (strat->Ll >= 0) |
---|
| 1801 | { |
---|
| 1802 | if (strat->Ll > lrmax) lrmax =strat->Ll;/*stat.*/ |
---|
| 1803 | |
---|
| 1804 | #ifdef KDEBUG |
---|
| 1805 | // loop_count++; |
---|
| 1806 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
| 1807 | #endif |
---|
| 1808 | |
---|
| 1809 | if (strat->Ll== 0) strat->interpt=TRUE; |
---|
| 1810 | |
---|
| 1811 | if (TEST_OPT_DEGBOUND |
---|
| 1812 | && ((strat->honey && (strat->L[strat->Ll].ecart+pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)) |
---|
| 1813 | || ((!strat->honey) && (pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)))) |
---|
| 1814 | { |
---|
[c656700] | 1815 | |
---|
| 1816 | #ifdef KDEBUG |
---|
| 1817 | // if (TEST_OPT_DEBUG){PrintS("^^^^?");} |
---|
| 1818 | #endif |
---|
| 1819 | |
---|
[6dbc96] | 1820 | /* |
---|
| 1821 | *stops computation if |
---|
| 1822 | * 24 IN test and the degree +ecart of L[strat->Ll] is bigger then |
---|
| 1823 | *a predefined number Kstd1_deg |
---|
| 1824 | */ |
---|
| 1825 | while ((strat->Ll >= 0) |
---|
[c656700] | 1826 | && ( (strat->homog==isHomog) || strat->L[strat->Ll].is_special || ((strat->L[strat->Ll].p1!=NULL) && (strat->L[strat->Ll].p2!=NULL)) ) |
---|
[6dbc96] | 1827 | && ((strat->honey && (strat->L[strat->Ll].ecart+pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)) |
---|
| 1828 | || ((!strat->honey) && (pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg))) |
---|
[c656700] | 1829 | ) |
---|
| 1830 | { |
---|
| 1831 | #ifdef KDEBUG |
---|
| 1832 | // if (TEST_OPT_DEBUG){PrintS("^^^^^^^^^^^^!!!!");} |
---|
| 1833 | #endif |
---|
[6dbc96] | 1834 | deleteInL(strat->L,&strat->Ll,strat->Ll,strat); |
---|
[c656700] | 1835 | // if (TEST_OPT_PROT) PrintS("^!"); |
---|
| 1836 | } |
---|
[6dbc96] | 1837 | if (strat->Ll<0) break; |
---|
| 1838 | else strat->noClearS=TRUE; |
---|
| 1839 | } |
---|
| 1840 | |
---|
| 1841 | /* picks the last element from the lazyset L */ |
---|
| 1842 | strat->P = strat->L[strat->Ll]; |
---|
| 1843 | strat->Ll--; |
---|
| 1844 | |
---|
| 1845 | |
---|
[52e2f6] | 1846 | // assume(pNext(strat->P.p) != strat->tail); |
---|
[6dbc96] | 1847 | |
---|
[52e2f6] | 1848 | if(strat->P.IsNull()) continue; |
---|
| 1849 | |
---|
| 1850 | if (pNext(strat->P.p) == strat->tail) |
---|
[6dbc96] | 1851 | { |
---|
| 1852 | // deletes the short spoly |
---|
| 1853 | pLmFree(strat->P.p); |
---|
[52e2f6] | 1854 | |
---|
| 1855 | strat->P.p = nc_CreateSpoly(strat->P.p1, strat->P.p2, currRing); |
---|
[b1a5c1] | 1856 | if (strat->P.p!=NULL) strat->initEcart(&strat->P); |
---|
[52e2f6] | 1857 | }// else |
---|
[6dbc96] | 1858 | |
---|
[151000] | 1859 | |
---|
| 1860 | if(strat->P.IsNull()) continue; |
---|
[b1a5c1] | 1861 | |
---|
[6dbc96] | 1862 | if (strat->P.p1 == NULL) |
---|
| 1863 | { |
---|
| 1864 | // if (strat->minim > 0) |
---|
| 1865 | // strat->P.p2=p_Copy(strat->P.p, currRing, strat->tailRing); |
---|
| 1866 | |
---|
| 1867 | |
---|
| 1868 | // for input polys, prepare reduction |
---|
[151000] | 1869 | strat->P.PrepareRed(strat->use_buckets); |
---|
[6dbc96] | 1870 | } |
---|
| 1871 | |
---|
| 1872 | if (TEST_OPT_PROT) |
---|
| 1873 | message((strat->honey ? strat->P.ecart : 0) + strat->P.pFDeg(), |
---|
| 1874 | &olddeg,&reduc,strat, red_result); |
---|
| 1875 | |
---|
| 1876 | /* reduction of the element choosen from L */ |
---|
| 1877 | red_result = strat->red(&strat->P,strat); |
---|
| 1878 | |
---|
| 1879 | |
---|
| 1880 | // reduction to non-zero new poly |
---|
| 1881 | if (red_result == 1) |
---|
| 1882 | { |
---|
| 1883 | /* statistic */ |
---|
| 1884 | if (TEST_OPT_PROT) PrintS("s"); |
---|
| 1885 | |
---|
| 1886 | // get the polynomial (canonicalize bucket, make sure P.p is set) |
---|
| 1887 | strat->P.GetP(strat->lmBin); |
---|
| 1888 | |
---|
| 1889 | int pos = posInS(strat,strat->sl,strat->P.p,strat->P.ecart); |
---|
| 1890 | |
---|
| 1891 | // reduce the tail and normalize poly |
---|
| 1892 | if (TEST_OPT_INTSTRATEGY) |
---|
| 1893 | { |
---|
| 1894 | strat->P.pCleardenom(); |
---|
| 1895 | if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL)) |
---|
| 1896 | { |
---|
| 1897 | strat->P.p = redtailBba(&(strat->P),pos-1,strat, withT); // !!! |
---|
| 1898 | strat->P.pCleardenom(); |
---|
| 1899 | } |
---|
| 1900 | } |
---|
| 1901 | else |
---|
| 1902 | { |
---|
| 1903 | strat->P.pNorm(); |
---|
| 1904 | if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL)) |
---|
| 1905 | strat->P.p = redtailBba(&(strat->P),pos-1,strat, withT); |
---|
| 1906 | } |
---|
[f1b9c57] | 1907 | strat->P.is_normalized=nIsOne(pGetCoeff(strat->P.p)); |
---|
[6dbc96] | 1908 | |
---|
| 1909 | #ifdef KDEBUG |
---|
[49be3c8] | 1910 | if (TEST_OPT_DEBUG){PrintS(" ns:");p_wrp(strat->P.p,currRing);PrintLn();} |
---|
[6dbc96] | 1911 | #endif |
---|
| 1912 | |
---|
| 1913 | // // min_std stuff |
---|
| 1914 | // if ((strat->P.p1==NULL) && (strat->minim>0)) |
---|
| 1915 | // { |
---|
| 1916 | // if (strat->minim==1) |
---|
| 1917 | // { |
---|
| 1918 | // strat->M->m[minimcnt]=p_Copy(strat->P.p,currRing,strat->tailRing); |
---|
| 1919 | // p_Delete(&strat->P.p2, currRing, strat->tailRing); |
---|
| 1920 | // } |
---|
| 1921 | // else |
---|
| 1922 | // { |
---|
| 1923 | // strat->M->m[minimcnt]=strat->P.p2; |
---|
| 1924 | // strat->P.p2=NULL; |
---|
| 1925 | // } |
---|
| 1926 | // if (strat->tailRing!=currRing && pNext(strat->M->m[minimcnt])!=NULL) |
---|
| 1927 | // pNext(strat->M->m[minimcnt]) |
---|
| 1928 | // = strat->p_shallow_copy_delete(pNext(strat->M->m[minimcnt]), |
---|
| 1929 | // strat->tailRing, currRing, |
---|
| 1930 | // currRing->PolyBin); |
---|
| 1931 | // minimcnt++; |
---|
| 1932 | // } |
---|
| 1933 | |
---|
| 1934 | // enter into S, L, and T |
---|
[49be3c8] | 1935 | //if(withT) |
---|
[6dbc96] | 1936 | enterT(strat->P, strat); |
---|
| 1937 | |
---|
| 1938 | // L |
---|
| 1939 | enterpairs(strat->P.p,strat->sl,strat->P.ecart,pos,strat, strat->tl); |
---|
| 1940 | |
---|
| 1941 | // posInS only depends on the leading term |
---|
| 1942 | strat->enterS(strat->P, pos, strat, strat->tl); |
---|
| 1943 | |
---|
| 1944 | // if (hilb!=NULL) khCheck(Q,w,hilb,hilbeledeg,hilbcount,strat); |
---|
| 1945 | |
---|
| 1946 | // Print("[%d]",hilbeledeg); |
---|
| 1947 | if (strat->P.lcm!=NULL) pLmFree(strat->P.lcm); |
---|
| 1948 | |
---|
| 1949 | if (strat->sl>srmax) srmax = strat->sl; |
---|
| 1950 | |
---|
| 1951 | // ////////////////////////////////////////////////////////// |
---|
| 1952 | // SCA: |
---|
| 1953 | const poly pSave = strat->P.p; |
---|
[de1dd6] | 1954 | const poly p_next = pNext(pSave); |
---|
[6dbc96] | 1955 | |
---|
| 1956 | // if(0) |
---|
[de1dd6] | 1957 | if( p_next != NULL ) |
---|
[86016d] | 1958 | for( unsigned int i = m_iFirstAltVar; i <= m_iLastAltVar; i++ ) |
---|
| 1959 | if( p_GetExp(pSave, i, currRing) != 0 ) |
---|
[6dbc96] | 1960 | { |
---|
[86016d] | 1961 | assume(p_GetExp(pSave, i, currRing) == 1); |
---|
[de1dd6] | 1962 | const poly p_new = sca_pp_Mult_xi_pp(i, p_next, currRing); |
---|
[6dbc96] | 1963 | |
---|
| 1964 | #ifdef PDEBUG |
---|
[de1dd6] | 1965 | p_Test(p_new, currRing); |
---|
[6dbc96] | 1966 | #endif |
---|
| 1967 | |
---|
[de1dd6] | 1968 | if( p_new == NULL) continue; |
---|
[6dbc96] | 1969 | |
---|
[de1dd6] | 1970 | LObject h(p_new); // h = x_i * strat->P |
---|
[6dbc96] | 1971 | |
---|
[c656700] | 1972 | h.is_special = TRUE; |
---|
| 1973 | |
---|
[de1dd6] | 1974 | if (TEST_OPT_INTSTRATEGY) |
---|
| 1975 | { |
---|
[a0d9be] | 1976 | // p_Content(h.p); |
---|
| 1977 | h.pCleardenom(); // also does a p_Content |
---|
[de1dd6] | 1978 | } |
---|
| 1979 | else |
---|
| 1980 | { |
---|
| 1981 | h.pNorm(); |
---|
| 1982 | } |
---|
[6dbc96] | 1983 | |
---|
[de1dd6] | 1984 | strat->initEcart(&h); |
---|
| 1985 | h.sev = pGetShortExpVector(h.p); |
---|
[6dbc96] | 1986 | |
---|
[b1c0a9] | 1987 | int pos = 0; |
---|
| 1988 | |
---|
| 1989 | if (strat->Ll != -1) |
---|
[de1dd6] | 1990 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
---|
[6dbc96] | 1991 | |
---|
[de1dd6] | 1992 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos); |
---|
[6dbc96] | 1993 | /* |
---|
[de1dd6] | 1994 | h.sev = pGetShortExpVector(h.p); |
---|
| 1995 | strat->initEcart(&h); |
---|
[6dbc96] | 1996 | |
---|
[de1dd6] | 1997 | h.PrepareRed(strat->use_buckets); |
---|
[6dbc96] | 1998 | |
---|
[de1dd6] | 1999 | // reduction of the element choosen from L(?) |
---|
| 2000 | red_result = strat->red(&h,strat); |
---|
[6dbc96] | 2001 | |
---|
[de1dd6] | 2002 | // reduction to non-zero new poly |
---|
| 2003 | if (red_result != 1) continue; |
---|
[6dbc96] | 2004 | |
---|
| 2005 | |
---|
[de1dd6] | 2006 | int pos = posInS(strat,strat->sl,h.p,h.ecart); |
---|
[6dbc96] | 2007 | |
---|
[de1dd6] | 2008 | // reduce the tail and normalize poly |
---|
| 2009 | if (TEST_OPT_INTSTRATEGY) |
---|
| 2010 | { |
---|
| 2011 | h.pCleardenom(); |
---|
| 2012 | if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL)) |
---|
[6dbc96] | 2013 | { |
---|
[de1dd6] | 2014 | h.p = redtailBba(&(h),pos-1,strat, withT); // !!! |
---|
[6dbc96] | 2015 | h.pCleardenom(); |
---|
| 2016 | } |
---|
[de1dd6] | 2017 | } |
---|
| 2018 | else |
---|
| 2019 | { |
---|
| 2020 | h.pNorm(); |
---|
| 2021 | if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL)) |
---|
| 2022 | h.p = redtailBba(&(h),pos-1,strat, withT); |
---|
| 2023 | } |
---|
[6dbc96] | 2024 | |
---|
[b1a5c1] | 2025 | #ifdef KDEBUG |
---|
[de1dd6] | 2026 | if (TEST_OPT_DEBUG){PrintS(" N:");h.wrp();PrintLn();} |
---|
[b1a5c1] | 2027 | #endif |
---|
[6dbc96] | 2028 | |
---|
[de1dd6] | 2029 | // h.PrepareRed(strat->use_buckets); // ??? |
---|
[6dbc96] | 2030 | |
---|
[de1dd6] | 2031 | h.sev = pGetShortExpVector(h.p); |
---|
| 2032 | strat->initEcart(&h); |
---|
[6dbc96] | 2033 | |
---|
[de1dd6] | 2034 | if (strat->Ll==-1) |
---|
| 2035 | pos = 0; |
---|
| 2036 | else |
---|
| 2037 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
---|
[6dbc96] | 2038 | |
---|
[de1dd6] | 2039 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos);*/ |
---|
[6dbc96] | 2040 | |
---|
| 2041 | } // for all x_i \in Ann(lm(P)) |
---|
| 2042 | } // if red(P) != NULL |
---|
| 2043 | |
---|
| 2044 | // else if (strat->P.p1 == NULL && strat->minim > 0) |
---|
| 2045 | // { |
---|
| 2046 | // p_Delete(&strat->P.p2, currRing, strat->tailRing); |
---|
| 2047 | // } |
---|
| 2048 | |
---|
[022ef5] | 2049 | #ifdef KDEBUG |
---|
| 2050 | // memset(&(strat->P), 0, sizeof(strat->P)); |
---|
| 2051 | #endif |
---|
| 2052 | |
---|
| 2053 | kTest_TS(strat); // even of T is not used! |
---|
[6dbc96] | 2054 | |
---|
| 2055 | // Print("\n$\n"); |
---|
| 2056 | |
---|
| 2057 | } |
---|
| 2058 | |
---|
| 2059 | #ifdef KDEBUG |
---|
| 2060 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
| 2061 | #endif |
---|
| 2062 | |
---|
| 2063 | /* complete reduction of the standard basis--------- */ |
---|
| 2064 | |
---|
[0a8ee5] | 2065 | if (TEST_OPT_REDSB) |
---|
| 2066 | { |
---|
[cf315c] | 2067 | completeReduce(strat); |
---|
| 2068 | } |
---|
| 2069 | |
---|
[6dbc96] | 2070 | /* release temp data-------------------------------- */ |
---|
| 2071 | |
---|
[cf315c] | 2072 | exitBuchMora(strat); // cleanT! |
---|
[6dbc96] | 2073 | |
---|
[cf315c] | 2074 | id_Delete(&tempF, currRing); |
---|
[26b68f] | 2075 | |
---|
[6dbc96] | 2076 | if (TEST_OPT_WEIGHTM) |
---|
| 2077 | { |
---|
| 2078 | pRestoreDegProcs(pFDegOld, pLDegOld); |
---|
| 2079 | if (ecartWeights) |
---|
| 2080 | { |
---|
| 2081 | omFreeSize((ADDRESS)ecartWeights,(pVariables+1)*sizeof(short)); |
---|
| 2082 | ecartWeights=NULL; |
---|
| 2083 | } |
---|
| 2084 | } |
---|
| 2085 | |
---|
| 2086 | if (TEST_OPT_PROT) messageStat(srmax,lrmax,hilbcount,strat); |
---|
| 2087 | |
---|
[cf315c] | 2088 | |
---|
[26b68f] | 2089 | |
---|
[022ef5] | 2090 | if (tempQ!=NULL) updateResult(strat->Shdl,tempQ,strat); |
---|
[6dbc96] | 2091 | |
---|
[cf315c] | 2092 | |
---|
| 2093 | if (TEST_OPT_REDSB) // ??? |
---|
| 2094 | { |
---|
| 2095 | // must be at the very end (after exitBuchMora) as it changes the S set!!! |
---|
| 2096 | ideal I = strat->Shdl; |
---|
[e7c6b22] | 2097 | ideal erg = kInterRedOld(I,tempQ); |
---|
[cf315c] | 2098 | assume(I!=erg); |
---|
| 2099 | id_Delete(&I, currRing); |
---|
| 2100 | strat->Shdl = erg; |
---|
| 2101 | } |
---|
[26b68f] | 2102 | |
---|
[022ef5] | 2103 | #if MYTEST |
---|
| 2104 | PrintS("\n\n</sca_bba>\n\n"); |
---|
| 2105 | #endif |
---|
[26b68f] | 2106 | |
---|
[6dbc96] | 2107 | return (strat->Shdl); |
---|
| 2108 | } |
---|
| 2109 | |
---|
| 2110 | |
---|
| 2111 | // ////////////////////////////////////////////////////////////////////////////// |
---|
| 2112 | // sca mora... |
---|
| 2113 | |
---|
| 2114 | // returns TRUE if mora should use buckets, false otherwise |
---|
| 2115 | static BOOLEAN kMoraUseBucket(kStrategy strat) |
---|
| 2116 | { |
---|
| 2117 | #ifdef MORA_USE_BUCKETS |
---|
| 2118 | if (TEST_OPT_NOT_BUCKETS) |
---|
| 2119 | return FALSE; |
---|
| 2120 | if (strat->red == redFirst) |
---|
| 2121 | { |
---|
| 2122 | #ifdef NO_LDEG |
---|
| 2123 | if (!strat->syzComp) |
---|
| 2124 | return TRUE; |
---|
| 2125 | #else |
---|
| 2126 | if ((strat->homog || strat->honey) && !strat->syzComp) |
---|
| 2127 | return TRUE; |
---|
| 2128 | #endif |
---|
| 2129 | } |
---|
| 2130 | else |
---|
| 2131 | { |
---|
| 2132 | assume(strat->red == redEcart); |
---|
| 2133 | if (strat->honey && !strat->syzComp) |
---|
| 2134 | return TRUE; |
---|
| 2135 | } |
---|
| 2136 | #endif |
---|
| 2137 | return FALSE; |
---|
| 2138 | } |
---|
| 2139 | |
---|
| 2140 | |
---|
| 2141 | #ifdef HAVE_ASSUME |
---|
| 2142 | static int sca_mora_count = 0; |
---|
| 2143 | static int sca_mora_loop_count; |
---|
| 2144 | #endif |
---|
| 2145 | |
---|
| 2146 | // ideal sca_mora (ideal F, ideal Q, intvec *w, intvec *, kStrategy strat) |
---|
| 2147 | ideal sca_mora(const ideal F, const ideal Q, const intvec *w, const intvec *, kStrategy strat) |
---|
| 2148 | { |
---|
[86016d] | 2149 | assume(rIsSCA(currRing)); |
---|
| 2150 | |
---|
| 2151 | const unsigned int m_iFirstAltVar = scaFirstAltVar(currRing); |
---|
| 2152 | const unsigned int m_iLastAltVar = scaLastAltVar(currRing); |
---|
[18ff4c] | 2153 | |
---|
[86016d] | 2154 | ideal tempF = id_KillSquares(F, m_iFirstAltVar, m_iLastAltVar, currRing); |
---|
[18ff4c] | 2155 | |
---|
[11c23c] | 2156 | ideal tempQ = Q; |
---|
| 2157 | |
---|
| 2158 | if(Q == currQuotient) |
---|
[52e2f6] | 2159 | tempQ = SCAQuotient(currRing); |
---|
[86016d] | 2160 | |
---|
[ab5a00] | 2161 | bool bIdHomog = id_IsSCAHomogeneous(tempF, NULL, NULL, currRing); // wCx == wCy == NULL! |
---|
[86016d] | 2162 | |
---|
| 2163 | assume( !bIdHomog || strat->homog ); // bIdHomog =====[implies]>>>>> strat->homog |
---|
[6dbc96] | 2164 | |
---|
| 2165 | strat->homog = strat->homog && bIdHomog; |
---|
| 2166 | |
---|
| 2167 | #ifdef PDEBUG |
---|
| 2168 | assume( strat->homog == bIdHomog ); |
---|
| 2169 | #endif /*PDEBUG*/ |
---|
| 2170 | |
---|
| 2171 | #ifdef HAVE_ASSUME |
---|
| 2172 | sca_mora_count++; |
---|
| 2173 | sca_mora_loop_count = 0; |
---|
| 2174 | #endif |
---|
[86016d] | 2175 | |
---|
[6dbc96] | 2176 | #ifdef KDEBUG |
---|
| 2177 | om_Opts.MinTrack = 5; |
---|
| 2178 | #endif |
---|
[022ef5] | 2179 | |
---|
[6dbc96] | 2180 | |
---|
| 2181 | strat->update = TRUE; |
---|
| 2182 | /*- setting global variables ------------------- -*/ |
---|
| 2183 | initBuchMoraCrit(strat); |
---|
| 2184 | // initHilbCrit(F,NULL,&hilb,strat); // no Q! |
---|
[86016d] | 2185 | initMora(tempF, strat); |
---|
[6dbc96] | 2186 | initBuchMoraPos(strat); |
---|
[86016d] | 2187 | /*Shdl=*/initBuchMora(tempF, tempQ, strat); // temp Q, F! |
---|
[6dbc96] | 2188 | // if (TEST_OPT_FASTHC) missingAxis(&strat->lastAxis,strat); |
---|
| 2189 | /*updateS in initBuchMora has Hecketest |
---|
| 2190 | * and could have put strat->kHEdgdeFound FALSE*/ |
---|
| 2191 | #if 0 |
---|
| 2192 | if (ppNoether!=NULL) |
---|
| 2193 | { |
---|
| 2194 | strat->kHEdgeFound = TRUE; |
---|
| 2195 | } |
---|
| 2196 | if (strat->kHEdgeFound && strat->update) |
---|
| 2197 | { |
---|
| 2198 | firstUpdate(strat); |
---|
| 2199 | updateLHC(strat); |
---|
| 2200 | reorderL(strat); |
---|
| 2201 | } |
---|
| 2202 | if (TEST_OPT_FASTHC && (strat->lastAxis) && strat->posInLOldFlag) |
---|
| 2203 | { |
---|
| 2204 | strat->posInLOld = strat->posInL; |
---|
| 2205 | strat->posInLOldFlag = FALSE; |
---|
| 2206 | strat->posInL = posInL10; |
---|
| 2207 | updateL(strat); |
---|
| 2208 | reorderL(strat); |
---|
| 2209 | } |
---|
| 2210 | #endif |
---|
[b1c0a9] | 2211 | strat->use_buckets = kMoraUseBucket(strat); |
---|
[6dbc96] | 2212 | |
---|
| 2213 | kTest_TS(strat); |
---|
| 2214 | |
---|
[b1c0a9] | 2215 | |
---|
| 2216 | int srmax = strat->sl; |
---|
| 2217 | int lrmax = strat->Ll; |
---|
| 2218 | int olddeg = 0; |
---|
| 2219 | int reduc = 0; |
---|
| 2220 | int red_result = 1; |
---|
| 2221 | // int hilbeledeg=1; |
---|
| 2222 | int hilbcount=0; |
---|
| 2223 | |
---|
[26b68f] | 2224 | |
---|
[6dbc96] | 2225 | /*- compute-------------------------------------------*/ |
---|
| 2226 | |
---|
| 2227 | #undef HAVE_TAIL_RING |
---|
| 2228 | |
---|
| 2229 | #ifdef HAVE_TAIL_RING |
---|
| 2230 | // if (strat->homog && strat->red == redFirst) |
---|
| 2231 | // kStratInitChangeTailRing(strat); |
---|
| 2232 | #endif |
---|
| 2233 | |
---|
| 2234 | |
---|
[b1c0a9] | 2235 | |
---|
| 2236 | |
---|
[26b68f] | 2237 | |
---|
[b1c0a9] | 2238 | // due to std( SB, p) |
---|
| 2239 | if(TEST_OPT_SB_1) |
---|
| 2240 | { |
---|
| 2241 | for (int iNewElement = strat->newIdeal; iNewElement < IDELEMS(tempF); iNewElement++) |
---|
| 2242 | { |
---|
| 2243 | |
---|
| 2244 | const poly pSave = tempF->m[iNewElement]; |
---|
| 2245 | |
---|
| 2246 | if( pSave != NULL ) |
---|
| 2247 | { |
---|
| 2248 | // tempF->m[iNewElement] = NULL; |
---|
| 2249 | |
---|
| 2250 | const poly p_next = pNext(pSave); |
---|
| 2251 | |
---|
| 2252 | if(p_next != NULL) |
---|
| 2253 | for( unsigned int i = m_iFirstAltVar; i <= m_iLastAltVar; i++ ) |
---|
| 2254 | if( p_GetExp(pSave, i, currRing) != 0 ) |
---|
| 2255 | { |
---|
| 2256 | |
---|
| 2257 | assume(p_GetExp(pSave, i, currRing) == 1); |
---|
| 2258 | |
---|
| 2259 | const poly p_new = sca_pp_Mult_xi_pp(i, p_next, currRing); |
---|
| 2260 | |
---|
| 2261 | #ifdef PDEBUG |
---|
| 2262 | p_Test(p_new, currRing); |
---|
| 2263 | #endif |
---|
| 2264 | |
---|
| 2265 | if( p_new == NULL) continue; |
---|
| 2266 | |
---|
| 2267 | LObject h(p_new); // h = x_i * strat->P |
---|
| 2268 | |
---|
| 2269 | if (TEST_OPT_INTSTRATEGY) |
---|
[a0d9be] | 2270 | h.pCleardenom(); // also does a p_Content |
---|
[b1c0a9] | 2271 | else |
---|
| 2272 | h.pNorm(); |
---|
| 2273 | |
---|
| 2274 | strat->initEcart(&h); |
---|
| 2275 | h.sev = pGetShortExpVector(h.p); |
---|
| 2276 | |
---|
| 2277 | int pos = 0; |
---|
| 2278 | |
---|
| 2279 | if (strat->Ll != -1) |
---|
| 2280 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
---|
| 2281 | |
---|
| 2282 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos); |
---|
| 2283 | |
---|
| 2284 | if (strat->Ll>lrmax) lrmax = strat->Ll; |
---|
[26b68f] | 2285 | } |
---|
| 2286 | } |
---|
[b1c0a9] | 2287 | |
---|
| 2288 | } |
---|
[26b68f] | 2289 | } |
---|
[b1c0a9] | 2290 | |
---|
| 2291 | |
---|
| 2292 | |
---|
| 2293 | |
---|
[6dbc96] | 2294 | while (strat->Ll >= 0) |
---|
| 2295 | { |
---|
| 2296 | #ifdef HAVE_ASSUME |
---|
| 2297 | sca_mora_loop_count++; |
---|
| 2298 | #endif |
---|
| 2299 | if (lrmax< strat->Ll) lrmax=strat->Ll; /*stat*/ |
---|
| 2300 | //test_int_std(strat->kIdeal); |
---|
[b1a5c1] | 2301 | #ifdef KDEBUG |
---|
[6dbc96] | 2302 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
[b1a5c1] | 2303 | #endif |
---|
[6dbc96] | 2304 | if (TEST_OPT_DEGBOUND |
---|
| 2305 | && (strat->L[strat->Ll].ecart+strat->L[strat->Ll].GetpFDeg()> Kstd1_deg)) |
---|
| 2306 | { |
---|
| 2307 | /* |
---|
| 2308 | * stops computation if |
---|
| 2309 | * - 24 (degBound) |
---|
| 2310 | * && upper degree is bigger than Kstd1_deg |
---|
| 2311 | */ |
---|
| 2312 | while ((strat->Ll >= 0) |
---|
| 2313 | && (strat->L[strat->Ll].p1!=NULL) && (strat->L[strat->Ll].p2!=NULL) |
---|
| 2314 | && (strat->L[strat->Ll].ecart+strat->L[strat->Ll].GetpFDeg()> Kstd1_deg) |
---|
| 2315 | ) |
---|
| 2316 | { |
---|
| 2317 | deleteInL(strat->L,&strat->Ll,strat->Ll,strat); |
---|
| 2318 | //if (TEST_OPT_PROT) |
---|
| 2319 | //{ |
---|
| 2320 | // PrintS("D"); mflush(); |
---|
| 2321 | //} |
---|
| 2322 | } |
---|
| 2323 | if (strat->Ll<0) break; |
---|
| 2324 | else strat->noClearS=TRUE; |
---|
| 2325 | } |
---|
| 2326 | strat->P = strat->L[strat->Ll];/*- picks the last element from the lazyset L -*/ |
---|
| 2327 | if (strat->Ll==0) strat->interpt=TRUE; |
---|
| 2328 | strat->Ll--; |
---|
| 2329 | |
---|
| 2330 | // create the real Spoly |
---|
[52e2f6] | 2331 | // assume(pNext(strat->P.p) != strat->tail); |
---|
| 2332 | |
---|
| 2333 | if(strat->P.IsNull()) continue; |
---|
| 2334 | |
---|
| 2335 | |
---|
| 2336 | if( pNext(strat->P.p) == strat->tail ) |
---|
| 2337 | { |
---|
| 2338 | // deletes the int spoly and computes SPoly |
---|
| 2339 | pLmFree(strat->P.p); // ??? |
---|
| 2340 | strat->P.p = nc_CreateSpoly(strat->P.p1, strat->P.p2, currRing); |
---|
| 2341 | } |
---|
[b1a5c1] | 2342 | |
---|
| 2343 | |
---|
[6dbc96] | 2344 | |
---|
| 2345 | if (strat->P.p1 == NULL) |
---|
| 2346 | { |
---|
| 2347 | // for input polys, prepare reduction (buckets !) |
---|
| 2348 | strat->P.SetLength(strat->length_pLength); |
---|
| 2349 | strat->P.PrepareRed(strat->use_buckets); |
---|
| 2350 | } |
---|
| 2351 | |
---|
| 2352 | if (!strat->P.IsNull()) |
---|
| 2353 | { |
---|
| 2354 | // might be NULL from noether !!! |
---|
| 2355 | if (TEST_OPT_PROT) |
---|
| 2356 | message(strat->P.ecart+strat->P.GetpFDeg(),&olddeg,&reduc,strat, red_result); |
---|
| 2357 | // reduce |
---|
| 2358 | red_result = strat->red(&strat->P,strat); |
---|
| 2359 | } |
---|
| 2360 | |
---|
| 2361 | if (! strat->P.IsNull()) |
---|
| 2362 | { |
---|
| 2363 | strat->P.GetP(); |
---|
| 2364 | // statistics |
---|
| 2365 | if (TEST_OPT_PROT) PrintS("s"); |
---|
| 2366 | // normalization |
---|
| 2367 | if (!TEST_OPT_INTSTRATEGY) |
---|
| 2368 | strat->P.pNorm(); |
---|
| 2369 | // tailreduction |
---|
| 2370 | strat->P.p = redtail(&(strat->P),strat->sl,strat); |
---|
| 2371 | // set ecart -- might have changed because of tail reductions |
---|
| 2372 | if ((!strat->noTailReduction) && (!strat->honey)) |
---|
| 2373 | strat->initEcart(&strat->P); |
---|
| 2374 | // cancel unit |
---|
| 2375 | cancelunit(&strat->P); |
---|
| 2376 | // for char 0, clear denominators |
---|
| 2377 | if (TEST_OPT_INTSTRATEGY) |
---|
| 2378 | strat->P.pCleardenom(); |
---|
| 2379 | |
---|
| 2380 | // put in T |
---|
| 2381 | enterT(strat->P,strat); |
---|
| 2382 | // build new pairs |
---|
| 2383 | enterpairs(strat->P.p,strat->sl,strat->P.ecart,0,strat, strat->tl); |
---|
| 2384 | // put in S |
---|
| 2385 | strat->enterS(strat->P, |
---|
| 2386 | posInS(strat,strat->sl,strat->P.p, strat->P.ecart), |
---|
| 2387 | strat, strat->tl); |
---|
| 2388 | |
---|
| 2389 | |
---|
| 2390 | // clear strat->P |
---|
| 2391 | if (strat->P.lcm!=NULL) pLmFree(strat->P.lcm); |
---|
| 2392 | strat->P.lcm=NULL; |
---|
| 2393 | |
---|
| 2394 | if (strat->sl>srmax) srmax = strat->sl; /*stat.*/ |
---|
| 2395 | if (strat->Ll>lrmax) lrmax = strat->Ll; |
---|
| 2396 | |
---|
| 2397 | |
---|
| 2398 | |
---|
| 2399 | // ////////////////////////////////////////////////////////// |
---|
| 2400 | // SCA: |
---|
| 2401 | const poly pSave = strat->P.p; |
---|
[de1dd6] | 2402 | const poly p_next = pNext(pSave); |
---|
[6dbc96] | 2403 | |
---|
[de1dd6] | 2404 | if(p_next != NULL) |
---|
[86016d] | 2405 | for( unsigned int i = m_iFirstAltVar; i <= m_iLastAltVar; i++ ) |
---|
| 2406 | if( p_GetExp(pSave, i, currRing) != 0 ) |
---|
[6dbc96] | 2407 | { |
---|
| 2408 | |
---|
| 2409 | assume(p_GetExp(pSave, i, currRing) == 1); |
---|
| 2410 | |
---|
[de1dd6] | 2411 | const poly p_new = sca_pp_Mult_xi_pp(i, p_next, currRing); |
---|
[6dbc96] | 2412 | |
---|
| 2413 | #ifdef PDEBUG |
---|
[de1dd6] | 2414 | p_Test(p_new, currRing); |
---|
[6dbc96] | 2415 | #endif |
---|
| 2416 | |
---|
[de1dd6] | 2417 | if( p_new == NULL) continue; |
---|
[6dbc96] | 2418 | |
---|
[de1dd6] | 2419 | LObject h(p_new); // h = x_i * strat->P |
---|
[6dbc96] | 2420 | |
---|
| 2421 | if (TEST_OPT_INTSTRATEGY) |
---|
[a0d9be] | 2422 | h.pCleardenom(); // also does a p_Content |
---|
[6dbc96] | 2423 | else |
---|
| 2424 | h.pNorm(); |
---|
| 2425 | |
---|
| 2426 | strat->initEcart(&h); |
---|
| 2427 | h.sev = pGetShortExpVector(h.p); |
---|
| 2428 | |
---|
[b1c0a9] | 2429 | int pos = 0; |
---|
[6dbc96] | 2430 | |
---|
[b1c0a9] | 2431 | if (strat->Ll != -1) |
---|
[6dbc96] | 2432 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
---|
| 2433 | |
---|
| 2434 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos); |
---|
| 2435 | |
---|
| 2436 | if (strat->Ll>lrmax) lrmax = strat->Ll; |
---|
| 2437 | } |
---|
| 2438 | |
---|
| 2439 | #ifdef KDEBUG |
---|
| 2440 | // make sure kTest_TS does not complain about strat->P |
---|
| 2441 | memset(&strat->P,0,sizeof(strat->P)); |
---|
| 2442 | #endif |
---|
| 2443 | } |
---|
| 2444 | #if 0 |
---|
| 2445 | if (strat->kHEdgeFound) |
---|
| 2446 | { |
---|
[804591] | 2447 | if ((TEST_OPT_FINDET) |
---|
[6dbc96] | 2448 | || ((TEST_OPT_MULTBOUND) && (scMult0Int((strat->Shdl)) < mu))) |
---|
| 2449 | { |
---|
| 2450 | // obachman: is this still used ??? |
---|
| 2451 | /* |
---|
| 2452 | * stops computation if strat->kHEdgeFound and |
---|
| 2453 | * - 27 (finiteDeterminacyTest) |
---|
| 2454 | * or |
---|
| 2455 | * - 23 |
---|
| 2456 | * (multBound) |
---|
| 2457 | * && multiplicity of the ideal is smaller then a predefined number mu |
---|
| 2458 | */ |
---|
| 2459 | while (strat->Ll >= 0) deleteInL(strat->L,&strat->Ll,strat->Ll,strat); |
---|
| 2460 | } |
---|
| 2461 | } |
---|
| 2462 | #endif |
---|
| 2463 | kTest_TS(strat); |
---|
| 2464 | } |
---|
| 2465 | /*- complete reduction of the standard basis------------------------ -*/ |
---|
| 2466 | if (TEST_OPT_REDSB) completeReduce(strat); |
---|
| 2467 | /*- release temp data------------------------------- -*/ |
---|
| 2468 | exitBuchMora(strat); |
---|
| 2469 | /*- polynomials used for HECKE: HC, noether -*/ |
---|
[804591] | 2470 | if (TEST_OPT_FINDET) |
---|
[6dbc96] | 2471 | { |
---|
| 2472 | if (strat->kHEdge!=NULL) |
---|
| 2473 | Kstd1_mu=pFDeg(strat->kHEdge,currRing); |
---|
| 2474 | else |
---|
| 2475 | Kstd1_mu=-1; |
---|
| 2476 | } |
---|
| 2477 | pDelete(&strat->kHEdge); |
---|
| 2478 | strat->update = TRUE; //??? |
---|
| 2479 | strat->lastAxis = 0; //??? |
---|
| 2480 | pDelete(&strat->kNoether); |
---|
| 2481 | omFreeSize((ADDRESS)strat->NotUsedAxis,(pVariables+1)*sizeof(BOOLEAN)); |
---|
| 2482 | if (TEST_OPT_PROT) messageStat(srmax,lrmax,hilbcount,strat); |
---|
| 2483 | if (TEST_OPT_WEIGHTM) |
---|
| 2484 | { |
---|
| 2485 | pRestoreDegProcs(pFDegOld, pLDegOld); |
---|
| 2486 | if (ecartWeights) |
---|
| 2487 | { |
---|
| 2488 | omFreeSize((ADDRESS)ecartWeights,(pVariables+1)*sizeof(short)); |
---|
| 2489 | ecartWeights=NULL; |
---|
| 2490 | } |
---|
| 2491 | } |
---|
[86016d] | 2492 | if (tempQ!=NULL) updateResult(strat->Shdl,tempQ,strat); |
---|
[6dbc96] | 2493 | idTest(strat->Shdl); |
---|
[18ff4c] | 2494 | |
---|
[86016d] | 2495 | id_Delete( &tempF, currRing); |
---|
[18ff4c] | 2496 | |
---|
[6dbc96] | 2497 | return (strat->Shdl); |
---|
| 2498 | } |
---|
| 2499 | |
---|
| 2500 | |
---|
| 2501 | |
---|
| 2502 | |
---|
| 2503 | |
---|
| 2504 | |
---|
[86016d] | 2505 | void sca_p_ProcsSet(ring rGR, p_Procs_s* p_Procs) |
---|
[6dbc96] | 2506 | { |
---|
| 2507 | |
---|
| 2508 | // "commutative" procedures: |
---|
| 2509 | rGR->p_Procs->p_Mult_mm = sca_p_Mult_mm; |
---|
| 2510 | rGR->p_Procs->pp_Mult_mm = sca_pp_Mult_mm; |
---|
| 2511 | |
---|
| 2512 | p_Procs->p_Mult_mm = sca_p_Mult_mm; |
---|
| 2513 | p_Procs->pp_Mult_mm = sca_pp_Mult_mm; |
---|
| 2514 | |
---|
| 2515 | // non-commutaitve |
---|
[52e2f6] | 2516 | rGR->GetNC()->p_Procs.mm_Mult_p = sca_mm_Mult_p; |
---|
| 2517 | rGR->GetNC()->p_Procs.mm_Mult_pp = sca_mm_Mult_pp; |
---|
[6dbc96] | 2518 | |
---|
| 2519 | |
---|
[0ec631] | 2520 | if (rHasLocalOrMixedOrdering(rGR)) |
---|
[cb3cec] | 2521 | { |
---|
| 2522 | #ifdef PDEBUG |
---|
| 2523 | // Print("Local case => GB == mora!\n"); |
---|
| 2524 | #endif |
---|
[52e2f6] | 2525 | rGR->GetNC()->p_Procs.GB = sca_mora; // local ordering => Mora, otherwise - Buchberger! |
---|
[cb3cec] | 2526 | } |
---|
[6dbc96] | 2527 | else |
---|
[cb3cec] | 2528 | { |
---|
| 2529 | #ifdef PDEBUG |
---|
| 2530 | // Print("Global case => GB == bba!\n"); |
---|
| 2531 | #endif |
---|
[52e2f6] | 2532 | rGR->GetNC()->p_Procs.GB = sca_bba; // sca_gr_bba; // sca_bba? // sca_bba; |
---|
[cb3cec] | 2533 | } |
---|
[6dbc96] | 2534 | |
---|
| 2535 | |
---|
[52e2f6] | 2536 | // rGR->GetNC()->p_Procs.GlobalGB = sca_gr_bba; |
---|
| 2537 | // rGR->GetNC()->p_Procs.LocalGB = sca_mora; |
---|
[6dbc96] | 2538 | |
---|
| 2539 | |
---|
[52e2f6] | 2540 | // rGR->GetNC()->p_Procs.SPoly = sca_SPoly; |
---|
| 2541 | // rGR->GetNC()->p_Procs.ReduceSPoly = sca_ReduceSpoly; |
---|
[6dbc96] | 2542 | |
---|
| 2543 | #if 0 |
---|
| 2544 | |
---|
| 2545 | // Multiplication procedures: |
---|
| 2546 | |
---|
| 2547 | p_Procs->p_Mult_mm = sca_p_Mult_mm; |
---|
| 2548 | _p_procs->p_Mult_mm = sca_p_Mult_mm; |
---|
| 2549 | |
---|
| 2550 | p_Procs->pp_Mult_mm = sca_pp_Mult_mm; |
---|
| 2551 | _p_procs->pp_Mult_mm = sca_pp_Mult_mm; |
---|
| 2552 | |
---|
[52e2f6] | 2553 | r->GetNC()->mmMultP() = sca_mm_Mult_p; |
---|
| 2554 | r->GetNC()->mmMultPP() = sca_mm_Mult_pp; |
---|
[6dbc96] | 2555 | |
---|
[52e2f6] | 2556 | r->GetNC()->GB() = sca_gr_bba; |
---|
[6dbc96] | 2557 | /* |
---|
| 2558 | // ??????????????????????????????????????? coefficients swell... |
---|
[52e2f6] | 2559 | r->GetNC()->SPoly() = sca_SPoly; |
---|
| 2560 | r->GetNC()->ReduceSPoly() = sca_ReduceSpoly; |
---|
[6dbc96] | 2561 | */ |
---|
[52e2f6] | 2562 | // r->GetNC()->BucketPolyRed() = gnc_kBucketPolyRed; |
---|
| 2563 | // r->GetNC()->BucketPolyRed_Z()= gnc_kBucketPolyRed_Z; |
---|
[6dbc96] | 2564 | |
---|
| 2565 | #endif |
---|
| 2566 | } |
---|
[86016d] | 2567 | |
---|
| 2568 | |
---|
[ab5a00] | 2569 | // bi-Degree (x, y) of monomial "m" |
---|
| 2570 | // x-es and y-s are weighted by wx and wy resp. |
---|
| 2571 | // [optional] components have weights by wCx and wCy. |
---|
[096c99] | 2572 | static inline void m_GetBiDegree(const poly m, |
---|
[18ff4c] | 2573 | const intvec *wx, const intvec *wy, |
---|
| 2574 | const intvec *wCx, const intvec *wCy, |
---|
[ab5a00] | 2575 | int& dx, int& dy, const ring r) |
---|
[86016d] | 2576 | { |
---|
| 2577 | const unsigned int N = r->N; |
---|
[18ff4c] | 2578 | |
---|
[ab5a00] | 2579 | p_Test(m, r); |
---|
[18ff4c] | 2580 | |
---|
[ab5a00] | 2581 | assume( wx != NULL ); |
---|
| 2582 | assume( wy != NULL ); |
---|
[18ff4c] | 2583 | |
---|
[ab5a00] | 2584 | assume( wx->cols() == 1 ); |
---|
| 2585 | assume( wy->cols() == 1 ); |
---|
| 2586 | |
---|
[d3981f] | 2587 | assume( (unsigned int)wx->rows() >= N ); |
---|
| 2588 | assume( (unsigned int)wy->rows() >= N ); |
---|
[86016d] | 2589 | |
---|
[ab5a00] | 2590 | int x = 0; |
---|
| 2591 | int y = 0; |
---|
[18ff4c] | 2592 | |
---|
[ab5a00] | 2593 | for(int i = N; i > 0; i--) |
---|
| 2594 | { |
---|
| 2595 | const int d = p_GetExp(m, i, r); |
---|
| 2596 | x += d * (*wx)[i-1]; |
---|
| 2597 | y += d * (*wy)[i-1]; |
---|
| 2598 | } |
---|
[18ff4c] | 2599 | |
---|
[ab5a00] | 2600 | if( (wCx != NULL) && (wCy != NULL) ) |
---|
| 2601 | { |
---|
| 2602 | const int c = p_GetComp(m, r); |
---|
[86016d] | 2603 | |
---|
[ab5a00] | 2604 | if( wCx->range(c) ) |
---|
| 2605 | x += (*wCx)[c]; |
---|
[86016d] | 2606 | |
---|
[ab5a00] | 2607 | if( wCy->range(c) ) |
---|
[18ff4c] | 2608 | x += (*wCy)[c]; |
---|
[ab5a00] | 2609 | } |
---|
[18ff4c] | 2610 | |
---|
[ab5a00] | 2611 | dx = x; |
---|
| 2612 | dy = y; |
---|
[86016d] | 2613 | } |
---|
| 2614 | |
---|
[ab5a00] | 2615 | // returns true if polynom p is bi-homogenous with respect to the given weights |
---|
| 2616 | // simultaneously sets bi-Degree |
---|
[18ff4c] | 2617 | bool p_IsBiHomogeneous(const poly p, |
---|
| 2618 | const intvec *wx, const intvec *wy, |
---|
| 2619 | const intvec *wCx, const intvec *wCy, |
---|
[ab5a00] | 2620 | int &dx, int &dy, |
---|
[86016d] | 2621 | const ring r) |
---|
| 2622 | { |
---|
[18ff4c] | 2623 | if( p == NULL ) |
---|
[ab5a00] | 2624 | { |
---|
| 2625 | dx = 0; |
---|
| 2626 | dy = 0; |
---|
| 2627 | return true; |
---|
| 2628 | } |
---|
[86016d] | 2629 | |
---|
| 2630 | poly q = p; |
---|
| 2631 | |
---|
| 2632 | |
---|
[ab5a00] | 2633 | int ddx, ddy; |
---|
[86016d] | 2634 | |
---|
[ab5a00] | 2635 | m_GetBiDegree( q, wx, wy, wCx, wCy, ddx, ddy, r); // get bi degree of lm(p) |
---|
[86016d] | 2636 | |
---|
| 2637 | pIter(q); |
---|
| 2638 | |
---|
| 2639 | for(; q != NULL; pIter(q) ) |
---|
| 2640 | { |
---|
[18ff4c] | 2641 | int x, y; |
---|
| 2642 | |
---|
[ab5a00] | 2643 | m_GetBiDegree( q, wx, wy, wCx, wCy, x, y, r); // get bi degree of q |
---|
[18ff4c] | 2644 | |
---|
[ab5a00] | 2645 | if ( (x != ddx) || (y != ddy) ) return false; |
---|
[86016d] | 2646 | } |
---|
[18ff4c] | 2647 | |
---|
[ab5a00] | 2648 | dx = ddx; |
---|
| 2649 | dy = ddy; |
---|
[86016d] | 2650 | |
---|
| 2651 | return true; |
---|
| 2652 | } |
---|
| 2653 | |
---|
| 2654 | |
---|
[ab5a00] | 2655 | // returns true if id is bi-homogenous without respect to the given weights |
---|
[18ff4c] | 2656 | bool id_IsBiHomogeneous(const ideal id, |
---|
| 2657 | const intvec *wx, const intvec *wy, |
---|
| 2658 | const intvec *wCx, const intvec *wCy, |
---|
[86016d] | 2659 | const ring r) |
---|
| 2660 | { |
---|
| 2661 | if (id == NULL) return true; // zero ideal |
---|
| 2662 | |
---|
| 2663 | const int iSize = IDELEMS(id); |
---|
| 2664 | |
---|
| 2665 | if (iSize == 0) return true; |
---|
| 2666 | |
---|
| 2667 | bool b = true; |
---|
[ab5a00] | 2668 | int x, y; |
---|
[86016d] | 2669 | |
---|
| 2670 | for(int i = iSize - 1; (i >= 0 ) && b; i--) |
---|
[ab5a00] | 2671 | b = p_IsBiHomogeneous(id->m[i], wx, wy, wCx, wCy, x, y, r); |
---|
[86016d] | 2672 | |
---|
| 2673 | return b; |
---|
| 2674 | } |
---|
| 2675 | |
---|
| 2676 | |
---|
[ab5a00] | 2677 | // returns an intvector with [nvars(r)] integers [1/0] |
---|
| 2678 | // 1 - for commutative variables |
---|
| 2679 | // 0 - for anticommutative variables |
---|
| 2680 | intvec *ivGetSCAXVarWeights(const ring r) |
---|
| 2681 | { |
---|
| 2682 | const unsigned int N = r->N; |
---|
| 2683 | |
---|
[aef1b86] | 2684 | const int CommutativeVariable = 0; // bug correction! |
---|
[ab5a00] | 2685 | const int AntiCommutativeVariable = 0; |
---|
[18ff4c] | 2686 | |
---|
[ab5a00] | 2687 | intvec* w = new intvec(N, 1, CommutativeVariable); |
---|
[18ff4c] | 2688 | |
---|
[aef1b86] | 2689 | if(AntiCommutativeVariable != CommutativeVariable) |
---|
[ab5a00] | 2690 | if( rIsSCA(r) ) |
---|
| 2691 | { |
---|
| 2692 | const unsigned int m_iFirstAltVar = scaFirstAltVar(r); |
---|
[18ff4c] | 2693 | const unsigned int m_iLastAltVar = scaLastAltVar(r); |
---|
[ab5a00] | 2694 | |
---|
| 2695 | for (unsigned int i = m_iFirstAltVar; i<= m_iLastAltVar; i++) |
---|
| 2696 | { |
---|
| 2697 | (*w)[i-1] = AntiCommutativeVariable; |
---|
[18ff4c] | 2698 | } |
---|
[ab5a00] | 2699 | } |
---|
[aef1b86] | 2700 | |
---|
[ab5a00] | 2701 | return w; |
---|
| 2702 | } |
---|
| 2703 | |
---|
| 2704 | |
---|
| 2705 | // returns an intvector with [nvars(r)] integers [1/0] |
---|
| 2706 | // 0 - for commutative variables |
---|
| 2707 | // 1 - for anticommutative variables |
---|
| 2708 | intvec *ivGetSCAYVarWeights(const ring r) |
---|
| 2709 | { |
---|
| 2710 | const unsigned int N = r->N; |
---|
| 2711 | |
---|
| 2712 | const int CommutativeVariable = 0; |
---|
| 2713 | const int AntiCommutativeVariable = 1; |
---|
[18ff4c] | 2714 | |
---|
[ab5a00] | 2715 | intvec* w = new intvec(N, 1, CommutativeVariable); |
---|
[18ff4c] | 2716 | |
---|
[aef1b86] | 2717 | if(AntiCommutativeVariable != CommutativeVariable) |
---|
[ab5a00] | 2718 | if( rIsSCA(r) ) |
---|
| 2719 | { |
---|
| 2720 | const unsigned int m_iFirstAltVar = scaFirstAltVar(r); |
---|
[18ff4c] | 2721 | const unsigned int m_iLastAltVar = scaLastAltVar(r); |
---|
[ab5a00] | 2722 | |
---|
| 2723 | for (unsigned int i = m_iFirstAltVar; i<= m_iLastAltVar; i++) |
---|
| 2724 | { |
---|
| 2725 | (*w)[i-1] = AntiCommutativeVariable; |
---|
[18ff4c] | 2726 | } |
---|
[ab5a00] | 2727 | } |
---|
| 2728 | return w; |
---|
| 2729 | } |
---|
| 2730 | |
---|
| 2731 | |
---|
[86016d] | 2732 | |
---|
| 2733 | |
---|
| 2734 | // reduce term lt(m) modulo <y_i^2> , i = iFirstAltVar .. iLastAltVar: |
---|
| 2735 | // either create a copy of m or return NULL |
---|
[096c99] | 2736 | static inline poly m_KillSquares(const poly m, |
---|
[18ff4c] | 2737 | const unsigned int iFirstAltVar, const unsigned int iLastAltVar, |
---|
[86016d] | 2738 | const ring r) |
---|
[18ff4c] | 2739 | { |
---|
[86016d] | 2740 | #ifdef PDEBUG |
---|
| 2741 | p_Test(m, r); |
---|
[06879b7] | 2742 | assume( (iFirstAltVar >= 1) && (iLastAltVar <= r->N) && (iFirstAltVar <= iLastAltVar) ); |
---|
[86016d] | 2743 | |
---|
| 2744 | #if 0 |
---|
| 2745 | Print("m_KillSquares, m = "); // ! |
---|
| 2746 | p_Write(m, r); |
---|
| 2747 | #endif |
---|
| 2748 | #endif |
---|
| 2749 | |
---|
| 2750 | assume( m != NULL ); |
---|
| 2751 | |
---|
[d3981f] | 2752 | for(unsigned int k = iFirstAltVar; k <= iLastAltVar; k++) |
---|
[86016d] | 2753 | if( p_GetExp(m, k, r) > 1 ) |
---|
[18ff4c] | 2754 | return NULL; |
---|
| 2755 | |
---|
[86016d] | 2756 | return p_Head(m, r); |
---|
| 2757 | } |
---|
| 2758 | |
---|
| 2759 | |
---|
| 2760 | // reduce polynomial p modulo <y_i^2> , i = iFirstAltVar .. iLastAltVar |
---|
[3f3b4d5] | 2761 | // returns a new poly! |
---|
[18ff4c] | 2762 | poly p_KillSquares(const poly p, |
---|
| 2763 | const unsigned int iFirstAltVar, const unsigned int iLastAltVar, |
---|
[86016d] | 2764 | const ring r) |
---|
[18ff4c] | 2765 | { |
---|
[86016d] | 2766 | #ifdef PDEBUG |
---|
| 2767 | p_Test(p, r); |
---|
| 2768 | |
---|
[06879b7] | 2769 | assume( (iFirstAltVar >= 1) && (iLastAltVar <= r->N) && (iFirstAltVar <= iLastAltVar) ); |
---|
| 2770 | |
---|
[86016d] | 2771 | #if 0 |
---|
| 2772 | Print("p_KillSquares, p = "); // ! |
---|
| 2773 | p_Write(p, r); |
---|
| 2774 | #endif |
---|
| 2775 | #endif |
---|
| 2776 | |
---|
| 2777 | |
---|
| 2778 | if( p == NULL ) |
---|
| 2779 | return NULL; |
---|
| 2780 | |
---|
| 2781 | poly pResult = NULL; |
---|
| 2782 | poly* ppPrev = &pResult; |
---|
| 2783 | |
---|
| 2784 | for( poly q = p; q!= NULL; pIter(q) ) |
---|
| 2785 | { |
---|
| 2786 | #ifdef PDEBUG |
---|
| 2787 | p_Test(q, r); |
---|
| 2788 | #endif |
---|
| 2789 | |
---|
[18ff4c] | 2790 | // terms will be in the same order because of quasi-ordering! |
---|
[86016d] | 2791 | poly v = m_KillSquares(q, iFirstAltVar, iLastAltVar, r); |
---|
| 2792 | |
---|
| 2793 | if( v != NULL ) |
---|
| 2794 | { |
---|
| 2795 | *ppPrev = v; |
---|
| 2796 | ppPrev = &pNext(v); |
---|
| 2797 | } |
---|
| 2798 | |
---|
| 2799 | } |
---|
| 2800 | |
---|
| 2801 | #ifdef PDEBUG |
---|
| 2802 | p_Test(pResult, r); |
---|
| 2803 | #if 0 |
---|
| 2804 | Print("p_KillSquares => "); // ! |
---|
| 2805 | p_Write(pResult, r); |
---|
| 2806 | #endif |
---|
| 2807 | #endif |
---|
| 2808 | |
---|
| 2809 | return(pResult); |
---|
| 2810 | } |
---|
[18ff4c] | 2811 | |
---|
[86016d] | 2812 | |
---|
| 2813 | |
---|
| 2814 | |
---|
| 2815 | // reduces ideal id modulo <y_i^2> , i = iFirstAltVar .. iLastAltVar |
---|
[26b68f] | 2816 | // returns the reduced ideal or zero ideal. |
---|
[18ff4c] | 2817 | ideal id_KillSquares(const ideal id, |
---|
| 2818 | const unsigned int iFirstAltVar, const unsigned int iLastAltVar, |
---|
[8ba25b] | 2819 | const ring r, const bool bSkipZeroes) |
---|
[86016d] | 2820 | { |
---|
| 2821 | if (id == NULL) return id; // zero ideal |
---|
| 2822 | |
---|
[06879b7] | 2823 | assume( (iFirstAltVar >= 1) && (iLastAltVar <= r->N) && (iFirstAltVar <= iLastAltVar) ); |
---|
[b1a5c1] | 2824 | |
---|
[52cc7a4] | 2825 | const int iSize = IDELEMS(id); |
---|
[86016d] | 2826 | |
---|
| 2827 | if (iSize == 0) return id; |
---|
[18ff4c] | 2828 | |
---|
[d3981f] | 2829 | ideal temp = idInit(iSize, id->rank); |
---|
[18ff4c] | 2830 | |
---|
[86016d] | 2831 | #if 0 |
---|
| 2832 | PrintS("<id_KillSquares>\n"); |
---|
| 2833 | { |
---|
[a610ee] | 2834 | PrintS("ideal id: \n"); |
---|
[52cc7a4] | 2835 | for (int i = 0; i < IDELEMS(id); i++) |
---|
[86016d] | 2836 | { |
---|
| 2837 | Print("; id[%d] = ", i+1); |
---|
| 2838 | p_Write(id->m[i], r); |
---|
| 2839 | } |
---|
[a610ee] | 2840 | PrintS(";\n"); |
---|
[86016d] | 2841 | PrintLn(); |
---|
| 2842 | } |
---|
| 2843 | #endif |
---|
[18ff4c] | 2844 | |
---|
[86016d] | 2845 | |
---|
| 2846 | for (int j = 0; j < iSize; j++) |
---|
| 2847 | temp->m[j] = p_KillSquares(id->m[j], iFirstAltVar, iLastAltVar, r); |
---|
| 2848 | |
---|
[8ba25b] | 2849 | if( bSkipZeroes ) |
---|
| 2850 | idSkipZeroes(temp); |
---|
[86016d] | 2851 | |
---|
| 2852 | #if 0 |
---|
| 2853 | PrintS("<id_KillSquares>\n"); |
---|
| 2854 | { |
---|
[a610ee] | 2855 | PrintS("ideal temp: \n"); |
---|
[52cc7a4] | 2856 | for (int i = 0; i < IDELEMS(temp); i++) |
---|
[86016d] | 2857 | { |
---|
| 2858 | Print("; temp[%d] = ", i+1); |
---|
| 2859 | p_Write(temp->m[i], r); |
---|
| 2860 | } |
---|
[a610ee] | 2861 | PrintS(";\n"); |
---|
[86016d] | 2862 | PrintLn(); |
---|
| 2863 | } |
---|
| 2864 | PrintS("</id_KillSquares>\n"); |
---|
| 2865 | #endif |
---|
| 2866 | |
---|
[d3981f] | 2867 | // temp->rank = idRankFreeModule(temp, r); |
---|
| 2868 | |
---|
[86016d] | 2869 | return temp; |
---|
| 2870 | } |
---|
| 2871 | |
---|
| 2872 | |
---|
| 2873 | |
---|
| 2874 | |
---|
[f2f460] | 2875 | #endif |
---|