[ff7993] | 1 | // -*- Mode: C++; tab-width: 2; indent-tabs-mode: nil; c-basic-offset: 2 -*- |
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| 2 | /*****************************************************************************\ |
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| 3 | * Computer Algebra System SINGULAR |
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| 4 | \*****************************************************************************/ |
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| 5 | /** @file syzextra.cc |
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| 6 | * |
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| 7 | * Here we implement the Computation of Syzygies |
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| 8 | * |
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| 9 | * ABSTRACT: Computation of Syzygies due to Schreyer |
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| 10 | * |
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| 11 | * @author Oleksandr Motsak |
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| 12 | * |
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| 13 | **/ |
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| 14 | /*****************************************************************************/ |
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| 15 | |
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| 16 | // include header file |
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| 17 | #include <kernel/mod2.h> |
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| 18 | |
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| 19 | #include "syzextra.h" |
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| 20 | |
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[204092] | 21 | #include "DebugPrint.h" |
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| 22 | |
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[ff7993] | 23 | #include <omalloc/omalloc.h> |
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[204092] | 24 | |
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| 25 | #include <misc/intvec.h> |
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| 26 | #include <misc/options.h> |
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| 27 | |
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| 28 | #include <coeffs/coeffs.h> |
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| 29 | |
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[ff7993] | 30 | #include <polys/monomials/p_polys.h> |
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[204092] | 31 | #include <polys/monomials/ring.h> |
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[9936d6] | 32 | #include <polys/simpleideals.h> |
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[ff7993] | 33 | |
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[204092] | 34 | #include <kernel/kstd1.h> |
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| 35 | #include <kernel/polys.h> |
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| 36 | #include <kernel/syz.h> |
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[ff7993] | 37 | #include <kernel/ideals.h> |
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| 38 | |
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[9936d6] | 39 | #include <kernel/timer.h> |
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[ff7993] | 40 | |
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[204092] | 41 | |
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| 42 | #include <Singular/tok.h> |
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| 43 | #include <Singular/ipid.h> |
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| 44 | #include <Singular/lists.h> |
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| 45 | #include <Singular/attrib.h> |
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| 46 | |
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| 47 | #include <Singular/ipid.h> |
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| 48 | #include <Singular/ipshell.h> // For iiAddCproc |
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| 49 | |
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| 50 | #include <stdio.h> |
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| 51 | #include <stdlib.h> |
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| 52 | #include <string.h> |
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| 53 | |
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| 54 | // USING_NAMESPACE_SINGULARXX; |
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| 55 | USING_NAMESPACE( SINGULARXXNAME :: DEBUG ) |
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| 56 | |
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| 57 | |
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[ff7993] | 58 | BEGIN_NAMESPACE_SINGULARXX BEGIN_NAMESPACE(SYZEXTRA) |
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| 59 | |
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[7088f18] | 60 | |
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[204092] | 61 | BEGIN_NAMESPACE(SORT_c_ds) |
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| 62 | |
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| 63 | |
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| 64 | #ifdef _GNU_SOURCE |
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| 65 | static int cmp_c_ds(const void *p1, const void *p2, void *R) |
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| 66 | { |
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| 67 | #else |
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| 68 | static int cmp_c_ds(const void *p1, const void *p2) |
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| 69 | { |
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| 70 | void *R = currRing; |
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| 71 | #endif |
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| 72 | |
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| 73 | const int YES = 1; |
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| 74 | const int NO = -1; |
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| 75 | |
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| 76 | const ring r = (const ring) R; // TODO/NOTE: the structure is known: C, lp!!! |
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| 77 | |
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| 78 | assume( r == currRing ); |
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| 79 | |
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| 80 | const poly a = *(const poly*)p1; |
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| 81 | const poly b = *(const poly*)p2; |
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| 82 | |
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| 83 | assume( a != NULL ); |
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| 84 | assume( b != NULL ); |
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| 85 | |
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| 86 | assume( p_LmTest(a, r) ); |
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| 87 | assume( p_LmTest(b, r) ); |
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| 88 | |
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| 89 | |
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| 90 | const signed long iCompDiff = p_GetComp(a, r) - p_GetComp(b, r); |
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| 91 | |
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| 92 | // TODO: test this!!!!!!!!!!!!!!!! |
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| 93 | |
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| 94 | //return -( compare (c, qsorts) ) |
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| 95 | |
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| 96 | #ifndef NDEBUG |
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[4eba3ad] | 97 | const int __DEBUG__ = 0; |
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[204092] | 98 | if( __DEBUG__ ) |
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| 99 | { |
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| 100 | PrintS("cmp_c_ds: a, b: \np1: "); dPrint(a, r, r, 2); |
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| 101 | PrintS("b: "); dPrint(b, r, r, 2); |
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| 102 | PrintLn(); |
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| 103 | } |
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| 104 | #endif |
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| 105 | |
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| 106 | |
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| 107 | if( iCompDiff > 0 ) |
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| 108 | return YES; |
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| 109 | |
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| 110 | if( iCompDiff < 0 ) |
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| 111 | return NO; |
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| 112 | |
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| 113 | assume( iCompDiff == 0 ); |
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| 114 | |
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| 115 | const signed long iDegDiff = p_Totaldegree(a, r) - p_Totaldegree(b, r); |
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[ff7993] | 116 | |
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[204092] | 117 | if( iDegDiff > 0 ) |
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| 118 | return YES; |
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| 119 | |
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| 120 | if( iDegDiff < 0 ) |
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| 121 | return NO; |
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| 122 | |
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| 123 | assume( iDegDiff == 0 ); |
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| 124 | |
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| 125 | #ifndef NDEBUG |
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| 126 | if( __DEBUG__ ) |
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| 127 | { |
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| 128 | PrintS("cmp_c_ds: a & b have the same comp & deg! "); PrintLn(); |
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| 129 | } |
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| 130 | #endif |
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| 131 | |
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| 132 | for (int v = rVar(r); v > 0; v--) |
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| 133 | { |
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| 134 | assume( v > 0 ); |
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| 135 | assume( v <= rVar(r) ); |
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| 136 | |
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| 137 | const signed int d = p_GetExp(a, v, r) - p_GetExp(b, v, r); |
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| 138 | |
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| 139 | if( d > 0 ) |
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| 140 | return YES; |
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| 141 | |
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| 142 | if( d < 0 ) |
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| 143 | return NO; |
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| 144 | |
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| 145 | assume( d == 0 ); |
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| 146 | } |
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| 147 | |
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| 148 | return 0; |
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| 149 | } |
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| 150 | |
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| 151 | END_NAMESPACE |
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| 152 | /* namespace SORT_c_ds */ |
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| 153 | |
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| 154 | /// return a new term: leading coeff * leading monomial of p |
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| 155 | /// with 0 leading component! |
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[9936d6] | 156 | poly leadmonom(const poly p, const ring r, const bool bSetZeroComp) |
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[204092] | 157 | { |
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| 158 | poly m = NULL; |
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| 159 | |
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| 160 | if( p != NULL ) |
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| 161 | { |
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| 162 | assume( p != NULL ); |
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| 163 | assume( p_LmTest(p, r) ); |
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| 164 | |
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| 165 | m = p_LmInit(p, r); |
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| 166 | p_SetCoeff0(m, n_Copy(p_GetCoeff(p, r), r), r); |
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| 167 | |
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[9936d6] | 168 | if( bSetZeroComp ) |
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| 169 | p_SetComp(m, 0, r); |
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[204092] | 170 | p_Setm(m, r); |
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| 171 | |
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[9936d6] | 172 | |
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[204092] | 173 | assume( m != NULL ); |
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| 174 | assume( pNext(m) == NULL ); |
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| 175 | assume( p_LmTest(m, r) ); |
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[9936d6] | 176 | |
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| 177 | if( bSetZeroComp ) |
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| 178 | assume( p_GetComp(m, r) == 0 ); |
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[204092] | 179 | } |
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| 180 | |
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| 181 | return m; |
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| 182 | } |
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| 183 | |
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| 184 | |
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| 185 | |
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[cd5fefc] | 186 | poly p_Tail(const poly p, const ring r) |
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| 187 | { |
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| 188 | if( p == NULL) |
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| 189 | return NULL; |
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| 190 | else |
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| 191 | return p_Copy( pNext(p), r ); |
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| 192 | } |
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| 193 | |
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| 194 | |
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| 195 | ideal id_Tail(const ideal id, const ring r) |
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| 196 | { |
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| 197 | if( id == NULL) |
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| 198 | return NULL; |
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| 199 | |
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| 200 | const ideal newid = idInit(IDELEMS(id),id->rank); |
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| 201 | |
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| 202 | for (int i=IDELEMS(id) - 1; i >= 0; i--) |
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| 203 | newid->m[i] = p_Tail( id->m[i], r ); |
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| 204 | |
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| 205 | newid->rank = id_RankFreeModule(newid, currRing); |
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| 206 | |
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| 207 | return newid; |
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| 208 | } |
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| 209 | |
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[ff7993] | 210 | |
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| 211 | |
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[204092] | 212 | void Sort_c_ds(const ideal id, const ring r) |
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| 213 | { |
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| 214 | const int sizeNew = IDELEMS(id); |
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| 215 | |
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| 216 | #ifdef _GNU_SOURCE |
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| 217 | #define qsort_my(m, s, ss, r, cmp) qsort_r(m, s, ss, cmp, r) |
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| 218 | #else |
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| 219 | #define qsort_my(m, s, ss, r, cmp) qsort_r(m, s, ss, cmp) |
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| 220 | #endif |
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| 221 | |
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| 222 | if( sizeNew >= 2 ) |
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[4eba3ad] | 223 | qsort_my(id->m, sizeNew, sizeof(poly), r, FROM_NAMESPACE(SORT_c_ds, cmp_c_ds)); |
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[204092] | 224 | |
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| 225 | #undef qsort_my |
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| 226 | |
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| 227 | id->rank = id_RankFreeModule(id, r); |
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| 228 | } |
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| 229 | |
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[1a4c343] | 230 | /// Clean up all the accumulated data |
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| 231 | void SchreyerSyzygyComputation::CleanUp() |
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| 232 | { |
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[9936d6] | 233 | extern void id_Delete (ideal*, const ring); |
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| 234 | |
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| 235 | id_Delete(const_cast<ideal*>(&m_idTails), m_rBaseRing); // TODO!!! |
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| 236 | } |
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[1a4c343] | 237 | /* |
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| 238 | for( TTailTerms::const_iterator it = m_idTailTerms.begin(); it != m_idTailTerms.end(); it++ ) |
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| 239 | { |
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| 240 | const TTail& v = *it; |
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| 241 | for(TTail::const_iterator vit = v.begin(); vit != v.end(); vit++ ) |
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| 242 | delete const_cast<CTailTerm*>(*vit); |
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| 243 | } |
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| 244 | */ |
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| 245 | |
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| 246 | |
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| 247 | |
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[9936d6] | 248 | bool CReducerFinder::PreProcessTerm(const poly t, CReducerFinder& syzChecker) const |
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[1a4c343] | 249 | { |
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[9936d6] | 250 | assume( t != NULL ); |
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| 251 | |
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| 252 | if( __DEBUG__ && __TAILREDSYZ__ ) |
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| 253 | assume( !IsDivisible(t) ); // each input term should NOT be in <L> |
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| 254 | |
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| 255 | const ring r = m_rBaseRing; |
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| 256 | |
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| 257 | |
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| 258 | if( __TAILREDSYZ__ ) |
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| 259 | if( p_LmIsConstant(t, r) ) // most basic case of baing coprime with L, whatever that is... |
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| 260 | return true; // TODO: prove this...? |
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| 261 | |
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| 262 | // return false; // appears to be fine |
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| 263 | |
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| 264 | const long comp = p_GetComp(t, r); |
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| 265 | |
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| 266 | CReducersHash::const_iterator itr = m_hash.find(comp); |
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| 267 | |
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| 268 | if ( itr == m_hash.end() ) |
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| 269 | return true; // no such leading component!!! |
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| 270 | |
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| 271 | const bool bIdealCase = (comp == 0); |
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| 272 | const bool bSyzCheck = syzChecker.IsNonempty(); // need to check even in ideal case????? proof? "&& !bIdealCase" |
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| 273 | |
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| 274 | // return false; |
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| 275 | if( __TAILREDSYZ__ && (bIdealCase || bSyzCheck) ) |
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| 276 | { |
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| 277 | const TReducers& v = itr->second; |
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| 278 | const int N = rVar(r); |
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| 279 | // TODO: extract exps of t beforehand?! |
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| 280 | bool coprime = true; |
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| 281 | for(TReducers::const_iterator vit = v.begin(); (vit != v.end()) && coprime; ++vit ) |
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| 282 | { |
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| 283 | assume( m_L->m[(*vit)->m_label] == (*vit)->m_lt ); |
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| 284 | |
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| 285 | const poly p = (*vit)->m_lt; |
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| 286 | |
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| 287 | assume( p_GetComp(p, r) == comp ); |
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| 288 | |
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| 289 | // TODO: check if coprime with Leads... if __TAILREDSYZ__ ! |
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| 290 | for( int var = N; var > 0; --var ) |
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| 291 | if( (p_GetExp(p, var, r) != 0) && (p_GetExp(t, var, r) != 0) ) |
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| 292 | { |
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| 293 | if( __DEBUG__ || 0) |
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| 294 | { |
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| 295 | PrintS("CReducerFinder::PreProcessTerm, 't' is NOT co-prime with the following leading term: \n"); |
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| 296 | dPrint(p, r, r, 1); |
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| 297 | } |
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| 298 | coprime = false; // t not coprime with p! |
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| 299 | break; |
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| 300 | } |
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| 301 | |
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| 302 | if( bSyzCheck && coprime ) |
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| 303 | { |
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| 304 | poly ss = p_LmInit(t, r); |
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| 305 | p_SetCoeff0(ss, n_Init(1, r), r); // for delete & printout only!... |
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| 306 | p_SetComp(ss, (*vit)->m_label + 1, r); // coeff? |
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| 307 | p_Setm(ss, r); |
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| 308 | |
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| 309 | coprime = ( syzChecker.IsDivisible(ss) ); |
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| 310 | |
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| 311 | if( __DEBUG__ && !coprime) |
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| 312 | { |
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| 313 | PrintS("CReducerFinder::PreProcessTerm, 't' is co-prime with p but may lead to NOT divisible syz.term: \n"); |
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| 314 | dPrint(ss, r, r, 1); |
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| 315 | } |
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| 316 | |
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| 317 | p_LmDelete(&ss, r); // deletes coeff as well??? |
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| 318 | } |
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| 319 | |
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| 320 | } |
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| 321 | |
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| 322 | if( __DEBUG__ && coprime ) |
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| 323 | PrintS("CReducerFinder::PreProcessTerm, the following 't' is 'co-prime' with all of leading terms! \n"); |
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| 324 | |
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| 325 | return coprime; // t was coprime with all of leading terms!!! |
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| 326 | |
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| 327 | } |
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| 328 | // return true; // delete the term |
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| 329 | |
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| 330 | return false; |
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| 331 | |
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| 332 | |
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| 333 | } |
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| 334 | |
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| 335 | |
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| 336 | void SchreyerSyzygyComputation::SetUpTailTerms() |
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| 337 | { |
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| 338 | const ideal idTails = m_idTails; |
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[1a4c343] | 339 | assume( idTails != NULL ); |
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| 340 | assume( idTails->m != NULL ); |
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[9936d6] | 341 | const ring r = m_rBaseRing; |
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| 342 | |
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| 343 | if( __DEBUG__ || 0) |
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| 344 | { |
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| 345 | PrintS("SchreyerSyzygyComputation::SetUpTailTerms(): Tails: \n"); |
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| 346 | dPrint(idTails, r, r, 0); |
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| 347 | } |
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| 348 | |
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| 349 | unsigned long pp = 0; // count preprocessed terms... |
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| 350 | |
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| 351 | for( int p = IDELEMS(idTails) - 1; p >= 0; --p ) |
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| 352 | for( poly* tt = &(idTails->m[p]); (*tt) != NULL; ) |
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| 353 | { |
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| 354 | const poly t = *tt; |
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| 355 | if( m_div.PreProcessTerm(t, m_checker) ) |
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| 356 | { |
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| 357 | if( __DEBUG__ || 0) |
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| 358 | { |
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| 359 | PrintS("SchreyerSyzygyComputation::SetUpTailTerms(): PP the following TT: \n"); |
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| 360 | dPrint(t, r, r, 1); |
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| 361 | } |
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| 362 | ++pp; |
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| 363 | |
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| 364 | (*tt) = p_LmDeleteAndNext(t, r); // delete the lead and next... |
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| 365 | } |
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| 366 | else |
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| 367 | tt = &pNext(t); // go next? |
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| 368 | |
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| 369 | } |
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| 370 | |
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| 371 | if( TEST_OPT_PROT || 1) |
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| 372 | Print("**!!** SchreyerSyzygyComputation::SetUpTailTerms()::PreProcessing has eliminated %u terms!\n", pp); |
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| 373 | |
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| 374 | |
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| 375 | if( __DEBUG__ || 0) |
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| 376 | { |
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| 377 | PrintS("SchreyerSyzygyComputation::SetUpTailTerms(): Preprocessed Tails: \n"); |
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| 378 | dPrint(idTails, r, r, 0); |
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| 379 | } |
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| 380 | } |
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[1a4c343] | 381 | /* |
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| 382 | m_idTailTerms.resize( IDELEMS(idTails) ); |
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| 383 | |
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| 384 | for( unsigned int p = IDELEMS(idTails) - 1; p >= 0; p -- ) |
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| 385 | { |
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| 386 | TTail& v = m_idTailTerms[p]; |
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| 387 | poly t = idTails->m[p]; |
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| 388 | v.resize( pLength(t) ); |
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| 389 | |
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| 390 | unsigned int pp = 0; |
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| 391 | |
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| 392 | while( t != NULL ) |
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| 393 | { |
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| 394 | assume( t != NULL ); |
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| 395 | // TODO: compute L:t! |
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| 396 | // ideal reducers; |
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| 397 | // CReducerFinder m_reducers |
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| 398 | |
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| 399 | CTailTerm* d = v[pp] = new CTailTerm(); |
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| 400 | |
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| 401 | ++pp; pIter(t); |
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| 402 | } |
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| 403 | } |
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| 404 | */ |
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| 405 | |
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| 406 | |
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| 407 | |
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[c7d29b] | 408 | ideal SchreyerSyzygyComputation::Compute1LeadingSyzygyTerms() |
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[204092] | 409 | { |
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[c7d29b] | 410 | const ideal& id = m_idLeads; |
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| 411 | const ring& r = m_rBaseRing; |
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[495328] | 412 | // const SchreyerSyzygyComputationFlags& attributes = m_atttributes; |
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[c7d29b] | 413 | |
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[495328] | 414 | // const BOOLEAN __DEBUG__ = attributes.__DEBUG__; |
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[4eba3ad] | 415 | // const BOOLEAN __SYZCHECK__ = attributes.__SYZCHECK__; |
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[495328] | 416 | // const BOOLEAN __LEAD2SYZ__ = attributes.__LEAD2SYZ__; |
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[4eba3ad] | 417 | // const BOOLEAN __HYBRIDNF__ = attributes.__HYBRIDNF__; |
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| 418 | // const BOOLEAN __TAILREDSYZ__ = attributes.__TAILREDSYZ__; |
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| 419 | |
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[c7d29b] | 420 | assume(!__LEAD2SYZ__); |
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[4eba3ad] | 421 | |
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[204092] | 422 | // 1. set of components S? |
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| 423 | // 2. for each component c from S: set of indices of leading terms |
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| 424 | // with this component? |
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| 425 | // 3. short exp. vectors for each leading term? |
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| 426 | |
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| 427 | const int size = IDELEMS(id); |
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| 428 | |
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| 429 | if( size < 2 ) |
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| 430 | { |
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| 431 | const ideal newid = idInit(1, 0); newid->m[0] = NULL; // zero ideal... |
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| 432 | return newid; |
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| 433 | } |
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| 434 | |
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| 435 | // TODO/NOTE: input is supposed to be (reverse-) sorted wrt "(c,ds)"!?? |
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| 436 | |
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| 437 | // components should come in groups: count elements in each group |
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| 438 | // && estimate the real size!!! |
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| 439 | |
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| 440 | |
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| 441 | // use just a vector instead??? |
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| 442 | const ideal newid = idInit( (size * (size-1))/2, size); // maximal size: ideal case! |
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| 443 | |
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| 444 | int k = 0; |
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| 445 | |
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| 446 | for (int j = 0; j < size; j++) |
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| 447 | { |
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| 448 | const poly p = id->m[j]; |
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| 449 | assume( p != NULL ); |
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| 450 | const int c = p_GetComp(p, r); |
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| 451 | |
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| 452 | for (int i = j - 1; i >= 0; i--) |
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| 453 | { |
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| 454 | const poly pp = id->m[i]; |
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| 455 | assume( pp != NULL ); |
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| 456 | const int cc = p_GetComp(pp, r); |
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| 457 | |
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| 458 | if( c != cc ) |
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| 459 | continue; |
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| 460 | |
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| 461 | const poly m = p_Init(r); // p_New??? |
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| 462 | |
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| 463 | // m = LCM(p, pp) / p! // TODO: optimize: knowing the ring structure: (C/lp)! |
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| 464 | for (int v = rVar(r); v > 0; v--) |
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| 465 | { |
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| 466 | assume( v > 0 ); |
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| 467 | assume( v <= rVar(r) ); |
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| 468 | |
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| 469 | const short e1 = p_GetExp(p , v, r); |
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| 470 | const short e2 = p_GetExp(pp, v, r); |
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| 471 | |
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| 472 | if( e1 >= e2 ) |
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| 473 | p_SetExp(m, v, 0, r); |
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| 474 | else |
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| 475 | p_SetExp(m, v, e2 - e1, r); |
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| 476 | |
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| 477 | } |
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| 478 | |
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| 479 | assume( (j > i) && (i >= 0) ); |
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| 480 | |
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| 481 | p_SetComp(m, j + 1, r); |
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| 482 | pNext(m) = NULL; |
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| 483 | p_SetCoeff0(m, n_Init(1, r->cf), r); // for later... |
---|
| 484 | |
---|
| 485 | p_Setm(m, r); // should not do anything!!! |
---|
| 486 | |
---|
| 487 | newid->m[k++] = m; |
---|
| 488 | } |
---|
| 489 | } |
---|
| 490 | |
---|
| 491 | // if( __DEBUG__ && FALSE ) |
---|
| 492 | // { |
---|
| 493 | // PrintS("ComputeLeadingSyzygyTerms::Temp0: \n"); |
---|
| 494 | // dPrint(newid, r, r, 1); |
---|
| 495 | // } |
---|
| 496 | |
---|
| 497 | // the rest of newid is assumed to be zeroes... |
---|
| 498 | |
---|
| 499 | // simplify(newid, 2 + 32)?? |
---|
| 500 | // sort(newid, "C,ds")[1]??? |
---|
| 501 | id_DelDiv(newid, r); // #define SIMPL_LMDIV 32 |
---|
| 502 | |
---|
| 503 | // if( __DEBUG__ && FALSE ) |
---|
| 504 | // { |
---|
| 505 | // PrintS("ComputeLeadingSyzygyTerms::Temp1: \n"); |
---|
| 506 | // dPrint(newid, r, r, 1); |
---|
| 507 | // } |
---|
| 508 | |
---|
| 509 | idSkipZeroes(newid); // #define SIMPL_NULL 2 |
---|
| 510 | |
---|
| 511 | // if( __DEBUG__ ) |
---|
| 512 | // { |
---|
| 513 | // PrintS("ComputeLeadingSyzygyTerms::Output: \n"); |
---|
| 514 | // dPrint(newid, r, r, 1); |
---|
| 515 | // } |
---|
| 516 | |
---|
| 517 | Sort_c_ds(newid, r); |
---|
| 518 | |
---|
| 519 | return newid; |
---|
| 520 | } |
---|
| 521 | |
---|
[c7d29b] | 522 | ideal SchreyerSyzygyComputation::Compute2LeadingSyzygyTerms() |
---|
[204092] | 523 | { |
---|
[c7d29b] | 524 | const ideal& id = m_idLeads; |
---|
| 525 | const ring& r = m_rBaseRing; |
---|
[495328] | 526 | // const SchreyerSyzygyComputationFlags& attributes = m_atttributes; |
---|
[c7d29b] | 527 | |
---|
[4eba3ad] | 528 | // const BOOLEAN __DEBUG__ = attributes.__DEBUG__; |
---|
| 529 | // const BOOLEAN __SYZCHECK__ = attributes.__SYZCHECK__; |
---|
| 530 | // const BOOLEAN __LEAD2SYZ__ = attributes.__LEAD2SYZ__; |
---|
| 531 | // const BOOLEAN __HYBRIDNF__ = attributes.__HYBRIDNF__; |
---|
[495328] | 532 | // const BOOLEAN __TAILREDSYZ__ = attributes.__TAILREDSYZ__; |
---|
[4eba3ad] | 533 | |
---|
[204092] | 534 | |
---|
| 535 | // 1. set of components S? |
---|
| 536 | // 2. for each component c from S: set of indices of leading terms |
---|
| 537 | // with this component? |
---|
| 538 | // 3. short exp. vectors for each leading term? |
---|
| 539 | |
---|
| 540 | const int size = IDELEMS(id); |
---|
| 541 | |
---|
| 542 | if( size < 2 ) |
---|
| 543 | { |
---|
| 544 | const ideal newid = idInit(1, 1); newid->m[0] = NULL; // zero module... |
---|
| 545 | return newid; |
---|
| 546 | } |
---|
| 547 | |
---|
| 548 | |
---|
[026171] | 549 | // TODO/NOTE: input is supposed to be sorted wrt "C,ds"!?? |
---|
| 550 | |
---|
| 551 | // components should come in groups: count elements in each group |
---|
| 552 | // && estimate the real size!!! |
---|
[204092] | 553 | |
---|
| 554 | |
---|
[026171] | 555 | // use just a vector instead??? |
---|
[204092] | 556 | ideal newid = idInit( (size * (size-1))/2, size); // maximal size: ideal case! |
---|
| 557 | |
---|
| 558 | int k = 0; |
---|
| 559 | |
---|
| 560 | for (int j = 0; j < size; j++) |
---|
| 561 | { |
---|
| 562 | const poly p = id->m[j]; |
---|
| 563 | assume( p != NULL ); |
---|
| 564 | const int c = p_GetComp(p, r); |
---|
| 565 | |
---|
| 566 | for (int i = j - 1; i >= 0; i--) |
---|
| 567 | { |
---|
| 568 | const poly pp = id->m[i]; |
---|
| 569 | assume( pp != NULL ); |
---|
| 570 | const int cc = p_GetComp(pp, r); |
---|
| 571 | |
---|
| 572 | if( c != cc ) |
---|
| 573 | continue; |
---|
| 574 | |
---|
| 575 | // allocate memory & zero it out! |
---|
| 576 | const poly m = p_Init(r); const poly mm = p_Init(r); |
---|
| 577 | |
---|
| 578 | |
---|
| 579 | // m = LCM(p, pp) / p! mm = LCM(p, pp) / pp! |
---|
| 580 | // TODO: optimize: knowing the ring structure: (C/lp)! |
---|
| 581 | |
---|
| 582 | for (int v = rVar(r); v > 0; v--) |
---|
| 583 | { |
---|
| 584 | assume( v > 0 ); |
---|
| 585 | assume( v <= rVar(r) ); |
---|
| 586 | |
---|
| 587 | const short e1 = p_GetExp(p , v, r); |
---|
| 588 | const short e2 = p_GetExp(pp, v, r); |
---|
| 589 | |
---|
| 590 | if( e1 >= e2 ) |
---|
| 591 | p_SetExp(mm, v, e1 - e2, r); // p_SetExp(m, v, 0, r); |
---|
| 592 | else |
---|
| 593 | p_SetExp(m, v, e2 - e1, r); // p_SetExp(mm, v, 0, r); |
---|
| 594 | |
---|
| 595 | } |
---|
| 596 | |
---|
| 597 | assume( (j > i) && (i >= 0) ); |
---|
| 598 | |
---|
| 599 | p_SetComp(m, j + 1, r); |
---|
| 600 | p_SetComp(mm, i + 1, r); |
---|
| 601 | |
---|
| 602 | const number& lc1 = p_GetCoeff(p , r); |
---|
| 603 | const number& lc2 = p_GetCoeff(pp, r); |
---|
| 604 | |
---|
| 605 | number g = n_Lcm( lc1, lc2, r ); |
---|
| 606 | |
---|
| 607 | p_SetCoeff0(m , n_Div(g, lc1, r), r); |
---|
| 608 | p_SetCoeff0(mm, n_Neg(n_Div(g, lc2, r), r), r); |
---|
| 609 | |
---|
| 610 | n_Delete(&g, r); |
---|
| 611 | |
---|
| 612 | p_Setm(m, r); // should not do anything!!! |
---|
| 613 | p_Setm(mm, r); // should not do anything!!! |
---|
| 614 | |
---|
| 615 | pNext(m) = mm; // pNext(mm) = NULL; |
---|
| 616 | |
---|
| 617 | newid->m[k++] = m; |
---|
| 618 | } |
---|
| 619 | } |
---|
| 620 | |
---|
| 621 | // if( __DEBUG__ && FALSE ) |
---|
| 622 | // { |
---|
| 623 | // PrintS("Compute2LeadingSyzygyTerms::Temp0: \n"); |
---|
| 624 | // dPrint(newid, r, r, 1); |
---|
| 625 | // } |
---|
| 626 | |
---|
| 627 | if( !__TAILREDSYZ__ ) |
---|
| 628 | { |
---|
| 629 | // simplify(newid, 2 + 32)?? |
---|
| 630 | // sort(newid, "C,ds")[1]??? |
---|
| 631 | id_DelDiv(newid, r); // #define SIMPL_LMDIV 32 |
---|
| 632 | |
---|
| 633 | // if( __DEBUG__ && FALSE ) |
---|
| 634 | // { |
---|
| 635 | // PrintS("Compute2LeadingSyzygyTerms::Temp1 (deldiv): \n"); |
---|
| 636 | // dPrint(newid, r, r, 1); |
---|
| 637 | // } |
---|
| 638 | } |
---|
| 639 | else |
---|
| 640 | { |
---|
| 641 | // option(redSB); option(redTail); |
---|
| 642 | // TEST_OPT_REDSB |
---|
| 643 | // TEST_OPT_REDTAIL |
---|
| 644 | assume( r == currRing ); |
---|
[31a08c2] | 645 | |
---|
| 646 | BITSET _save_test; SI_SAVE_OPT1(_save_test); |
---|
| 647 | SI_RESTORE_OPT1(Sy_bit(OPT_REDTAIL) | Sy_bit(OPT_REDSB) | _save_test); |
---|
[204092] | 648 | |
---|
| 649 | intvec* w=new intvec(IDELEMS(newid)); |
---|
| 650 | ideal tmp = kStd(newid, currQuotient, isHomog, &w); |
---|
| 651 | delete w; |
---|
| 652 | |
---|
[31a08c2] | 653 | SI_RESTORE_OPT1(_save_test) |
---|
[204092] | 654 | |
---|
| 655 | id_Delete(&newid, r); |
---|
| 656 | newid = tmp; |
---|
| 657 | |
---|
| 658 | // if( __DEBUG__ && FALSE ) |
---|
| 659 | // { |
---|
| 660 | // PrintS("Compute2LeadingSyzygyTerms::Temp1 (std): \n"); |
---|
| 661 | // dPrint(newid, r, r, 1); |
---|
| 662 | // } |
---|
| 663 | |
---|
| 664 | } |
---|
| 665 | |
---|
| 666 | idSkipZeroes(newid); |
---|
| 667 | |
---|
| 668 | Sort_c_ds(newid, r); |
---|
| 669 | |
---|
| 670 | return newid; |
---|
| 671 | } |
---|
| 672 | |
---|
[1cf13b] | 673 | poly SchreyerSyzygyComputation::TraverseNF(const poly a, const poly a2) const |
---|
[c7d29b] | 674 | { |
---|
[1cf13b] | 675 | const ideal& L = m_idLeads; |
---|
| 676 | const ideal& T = m_idTails; |
---|
| 677 | |
---|
| 678 | const ring& R = m_rBaseRing; |
---|
| 679 | |
---|
| 680 | const int r = p_GetComp(a, R) - 1; |
---|
| 681 | |
---|
| 682 | assume( r >= 0 && r < IDELEMS(T) ); |
---|
| 683 | assume( r >= 0 && r < IDELEMS(L) ); |
---|
| 684 | |
---|
| 685 | poly aa = leadmonom(a, R); assume( aa != NULL); // :( |
---|
| 686 | poly t = TraverseTail(aa, r); |
---|
| 687 | |
---|
| 688 | if( a2 != NULL ) |
---|
| 689 | { |
---|
| 690 | assume( __LEAD2SYZ__ ); |
---|
[c7d29b] | 691 | |
---|
[1cf13b] | 692 | const int r2 = p_GetComp(a2, R) - 1; poly aa2 = leadmonom(a2, R); // :( |
---|
| 693 | |
---|
| 694 | assume( r2 >= 0 && r2 < IDELEMS(T) ); |
---|
| 695 | |
---|
| 696 | t = p_Add_q(a2, p_Add_q(t, TraverseTail(aa2, r2), R), R); |
---|
| 697 | |
---|
| 698 | p_Delete(&aa2, R); |
---|
| 699 | } else |
---|
| 700 | t = p_Add_q(t, ReduceTerm(aa, L->m[r], a), R); |
---|
| 701 | |
---|
| 702 | p_Delete(&aa, R); |
---|
| 703 | |
---|
| 704 | return t; |
---|
| 705 | } |
---|
| 706 | |
---|
| 707 | |
---|
| 708 | void SchreyerSyzygyComputation::ComputeSyzygy() |
---|
| 709 | { |
---|
[c7d29b] | 710 | assume( m_idLeads != NULL ); |
---|
| 711 | assume( m_idTails != NULL ); |
---|
| 712 | |
---|
| 713 | const ideal& L = m_idLeads; |
---|
| 714 | const ideal& T = m_idTails; |
---|
| 715 | |
---|
| 716 | ideal& TT = m_syzTails; |
---|
| 717 | const ring& R = m_rBaseRing; |
---|
| 718 | |
---|
| 719 | assume( IDELEMS(L) == IDELEMS(T) ); |
---|
[9936d6] | 720 | int t, r; |
---|
[c7d29b] | 721 | |
---|
[5cecde] | 722 | if( m_syzLeads == NULL ) |
---|
[9936d6] | 723 | { |
---|
| 724 | if( TEST_OPT_PROT && 1) |
---|
| 725 | { |
---|
| 726 | /* initTimer(); |
---|
| 727 | initRTimer(); |
---|
| 728 | startTimer(); |
---|
| 729 | startRTimer();*/ |
---|
| 730 | |
---|
| 731 | t = getTimer(); |
---|
| 732 | r = getRTimer(); |
---|
| 733 | Print("%d **!TIME4!** SchreyerSyzygyComputation::ComputeSyzygy::ComputeLeadingSyzygyTerms: t: %d, r: %d\n", getRTimer(), t, r); |
---|
| 734 | } |
---|
| 735 | |
---|
[1cf13b] | 736 | ComputeLeadingSyzygyTerms( __LEAD2SYZ__ && !__IGNORETAILS__ ); // 2 terms OR 1 term! |
---|
[9936d6] | 737 | if( TEST_OPT_PROT && 1) |
---|
| 738 | { |
---|
| 739 | t = getTimer() - t; |
---|
| 740 | r = getRTimer() - r; |
---|
| 741 | |
---|
| 742 | Print("%d **!TIME4!** SchreyerSyzygyComputation::ComputeSyzygy::ComputeLeadingSyzygyTerms: t: %d, r: %d\n", getRTimer(), t, r); |
---|
| 743 | } |
---|
| 744 | |
---|
| 745 | } |
---|
| 746 | |
---|
[5cecde] | 747 | |
---|
| 748 | assume( m_syzLeads != NULL ); |
---|
| 749 | |
---|
[c7d29b] | 750 | ideal& LL = m_syzLeads; |
---|
[5cecde] | 751 | |
---|
[c7d29b] | 752 | |
---|
| 753 | const int size = IDELEMS(LL); |
---|
| 754 | |
---|
| 755 | TT = idInit(size, 0); |
---|
| 756 | |
---|
| 757 | if( size == 1 && LL->m[0] == NULL ) |
---|
| 758 | return; |
---|
[9936d6] | 759 | |
---|
| 760 | if( !__IGNORETAILS__) |
---|
| 761 | { |
---|
| 762 | if( T != NULL ) |
---|
| 763 | { |
---|
[c7d29b] | 764 | |
---|
[9936d6] | 765 | if( TEST_OPT_PROT && 1 ) |
---|
| 766 | { |
---|
| 767 | // initTimer(); |
---|
| 768 | // initRTimer(); |
---|
| 769 | // startTimer(); |
---|
| 770 | // startRTimer(); |
---|
| 771 | |
---|
| 772 | t = getTimer(); |
---|
| 773 | r = getRTimer(); |
---|
| 774 | Print("%d **!TIME4!** SchreyerSyzygyComputation::ComputeSyzygy::SetUpTailTerms(): t: %d, r: %d\n", getRTimer(), t, r); |
---|
| 775 | } |
---|
| 776 | |
---|
| 777 | SetUpTailTerms(); |
---|
| 778 | |
---|
| 779 | if( TEST_OPT_PROT && 1) |
---|
| 780 | { |
---|
| 781 | t = getTimer() - t; |
---|
| 782 | r = getRTimer() - r; |
---|
| 783 | |
---|
| 784 | Print("%d **!TIME4!** SchreyerSyzygyComputation::ComputeSyzygy::SetUpTailTerms(): t: %d, r: %d\n", getRTimer(), t, r); |
---|
| 785 | } |
---|
| 786 | |
---|
| 787 | |
---|
| 788 | |
---|
| 789 | } |
---|
| 790 | } |
---|
| 791 | |
---|
| 792 | if( TEST_OPT_PROT && 1) |
---|
| 793 | { |
---|
| 794 | // initTimer(); |
---|
| 795 | // initRTimer(); |
---|
| 796 | // startTimer(); |
---|
| 797 | // startRTimer(); |
---|
| 798 | |
---|
| 799 | t = getTimer(); |
---|
| 800 | r = getRTimer(); |
---|
| 801 | Print("%d **!TIME4!** SchreyerSyzygyComputation::ComputeSyzygy::SyzygyLift: t: %d, r: %d\n", getRTimer(), t, r); |
---|
| 802 | } |
---|
[c7d29b] | 803 | |
---|
| 804 | for( int k = size - 1; k >= 0; k-- ) |
---|
| 805 | { |
---|
| 806 | const poly a = LL->m[k]; assume( a != NULL ); |
---|
| 807 | |
---|
| 808 | poly a2 = pNext(a); |
---|
| 809 | |
---|
[dd24e5] | 810 | // Splitting 2-terms Leading syzygy module |
---|
[c7d29b] | 811 | if( a2 != NULL ) |
---|
[e98c64] | 812 | pNext(a) = NULL; |
---|
| 813 | |
---|
| 814 | if( __IGNORETAILS__ ) |
---|
[c7d29b] | 815 | { |
---|
[e98c64] | 816 | TT->m[k] = NULL; |
---|
| 817 | |
---|
[1cf13b] | 818 | assume( a2 != NULL ); |
---|
| 819 | |
---|
[e98c64] | 820 | if( a2 != NULL ) |
---|
| 821 | p_Delete(&a2, R); |
---|
| 822 | |
---|
| 823 | continue; |
---|
[c7d29b] | 824 | } |
---|
[e98c64] | 825 | |
---|
[1cf13b] | 826 | // TT->m[k] = a2; |
---|
[c7d29b] | 827 | |
---|
| 828 | if( ! __HYBRIDNF__ ) |
---|
| 829 | { |
---|
[1cf13b] | 830 | TT->m[k] = TraverseNF(a, a2); |
---|
[c7d29b] | 831 | } else |
---|
| 832 | { |
---|
[1cf13b] | 833 | TT->m[k] = SchreyerSyzygyNF(a, a2); |
---|
[c7d29b] | 834 | } |
---|
[e98c64] | 835 | |
---|
[c7d29b] | 836 | } |
---|
[9936d6] | 837 | |
---|
| 838 | if( TEST_OPT_PROT && 1) |
---|
| 839 | { |
---|
| 840 | t = getTimer() - t; |
---|
| 841 | r = getRTimer(); - r; |
---|
| 842 | |
---|
| 843 | Print("%d **!TIME4!** SchreyerSyzygyComputation::ComputeSyzygy::SyzygyLift: t: %d, r: %d\n", getRTimer(), t, r); |
---|
| 844 | } |
---|
[c7d29b] | 845 | |
---|
[9936d6] | 846 | |
---|
| 847 | |
---|
| 848 | TT->rank = id_RankFreeModule(TT, R); |
---|
[c7d29b] | 849 | } |
---|
| 850 | |
---|
| 851 | void SchreyerSyzygyComputation::ComputeLeadingSyzygyTerms(bool bComputeSecondTerms) |
---|
| 852 | { |
---|
[495328] | 853 | // const SchreyerSyzygyComputationFlags& attributes = m_atttributes; |
---|
[c7d29b] | 854 | |
---|
[495328] | 855 | // const BOOLEAN __LEAD2SYZ__ = attributes.__LEAD2SYZ__; |
---|
| 856 | // const BOOLEAN __TAILREDSYZ__ = attributes.__TAILREDSYZ__; |
---|
[c7d29b] | 857 | |
---|
[e98c64] | 858 | assume( m_syzLeads == NULL ); |
---|
| 859 | |
---|
[c7d29b] | 860 | if( bComputeSecondTerms ) |
---|
[026171] | 861 | { |
---|
| 862 | assume( __LEAD2SYZ__ ); |
---|
[c7d29b] | 863 | // m_syzLeads = FROM_NAMESPACE(INTERNAL, _Compute2LeadingSyzygyTerms(m_idLeads, m_rBaseRing, m_atttributes)); |
---|
| 864 | m_syzLeads = Compute2LeadingSyzygyTerms(); |
---|
[026171] | 865 | } |
---|
[c7d29b] | 866 | else |
---|
[026171] | 867 | { |
---|
| 868 | assume( !__LEAD2SYZ__ ); |
---|
| 869 | |
---|
[c7d29b] | 870 | m_syzLeads = Compute1LeadingSyzygyTerms(); |
---|
[026171] | 871 | } |
---|
[c7d29b] | 872 | // m_syzLeads = FROM_NAMESPACE(INTERNAL, _ComputeLeadingSyzygyTerms(m_idLeads, m_rBaseRing, m_atttributes)); |
---|
| 873 | |
---|
| 874 | // NOTE: set m_LS if tails are to be reduced! |
---|
[5cecde] | 875 | assume( m_syzLeads!= NULL ); |
---|
[c7d29b] | 876 | |
---|
[c81423] | 877 | if (__TAILREDSYZ__ && !__IGNORETAILS__ && (IDELEMS(m_syzLeads) > 0) && !((IDELEMS(m_syzLeads) == 1) && (m_syzLeads->m[0] == NULL))) |
---|
[5cecde] | 878 | { |
---|
[c7d29b] | 879 | m_LS = m_syzLeads; |
---|
[5cecde] | 880 | m_checker.Initialize(m_syzLeads); |
---|
[c81423] | 881 | #ifndef NDEBUG |
---|
| 882 | if( __DEBUG__ ) |
---|
| 883 | { |
---|
| 884 | const ring& r = m_rBaseRing; |
---|
| 885 | PrintS("SchreyerSyzygyComputation::ComputeLeadingSyzygyTerms: \n"); |
---|
| 886 | PrintS("m_syzLeads: \n"); |
---|
| 887 | dPrint(m_syzLeads, r, r, 1); |
---|
| 888 | PrintS("m_checker.Initialize(m_syzLeads) => \n"); |
---|
| 889 | m_checker.DebugPrint(); |
---|
| 890 | } |
---|
| 891 | #endif |
---|
[e98c64] | 892 | assume( m_checker.IsNonempty() ); // TODO: this always fails... BUG???? |
---|
[5cecde] | 893 | } |
---|
[c7d29b] | 894 | } |
---|
| 895 | |
---|
[1cf13b] | 896 | #define NOPRODUCT 1 |
---|
[c7d29b] | 897 | |
---|
[1cf13b] | 898 | poly SchreyerSyzygyComputation::SchreyerSyzygyNF(const poly syz_lead, poly syz_2) const |
---|
| 899 | { |
---|
| 900 | |
---|
[e98c64] | 901 | assume( !__IGNORETAILS__ ); |
---|
| 902 | |
---|
[c7d29b] | 903 | const ideal& L = m_idLeads; |
---|
| 904 | const ideal& T = m_idTails; |
---|
| 905 | const ring& r = m_rBaseRing; |
---|
[204092] | 906 | |
---|
| 907 | assume( syz_lead != NULL ); |
---|
[1cf13b] | 908 | |
---|
| 909 | if( syz_2 == NULL ) |
---|
| 910 | { |
---|
| 911 | const int rr = p_GetComp(syz_lead, r) - 1; |
---|
| 912 | |
---|
| 913 | assume( rr >= 0 && rr < IDELEMS(T) ); |
---|
| 914 | assume( rr >= 0 && rr < IDELEMS(L) ); |
---|
| 915 | |
---|
| 916 | |
---|
| 917 | #if NOPRODUCT |
---|
| 918 | syz_2 = m_div.FindReducer(syz_lead, L->m[rr], syz_lead, m_checker); |
---|
| 919 | #else |
---|
| 920 | poly aa = leadmonom(syz_lead, r); assume( aa != NULL); // :( |
---|
| 921 | aa = p_Mult_mm(aa, L->m[rr], r); |
---|
| 922 | |
---|
| 923 | syz_2 = m_div.FindReducer(aa, syz_lead, m_checker); |
---|
| 924 | |
---|
| 925 | p_Delete(&aa, r); |
---|
| 926 | #endif |
---|
| 927 | |
---|
| 928 | assume( syz_2 != NULL ); // by construction of S-Polynomial |
---|
| 929 | } |
---|
| 930 | |
---|
| 931 | |
---|
| 932 | |
---|
[204092] | 933 | assume( syz_2 != NULL ); |
---|
| 934 | |
---|
| 935 | assume( L != NULL ); |
---|
| 936 | assume( T != NULL ); |
---|
| 937 | |
---|
| 938 | assume( IDELEMS(L) == IDELEMS(T) ); |
---|
| 939 | |
---|
| 940 | int c = p_GetComp(syz_lead, r) - 1; |
---|
| 941 | |
---|
| 942 | assume( c >= 0 && c < IDELEMS(T) ); |
---|
| 943 | |
---|
| 944 | poly p = leadmonom(syz_lead, r); // :( |
---|
| 945 | poly spoly = pp_Mult_qq(p, T->m[c], r); |
---|
| 946 | p_Delete(&p, r); |
---|
| 947 | |
---|
| 948 | |
---|
| 949 | c = p_GetComp(syz_2, r) - 1; |
---|
| 950 | assume( c >= 0 && c < IDELEMS(T) ); |
---|
| 951 | |
---|
| 952 | p = leadmonom(syz_2, r); // :( |
---|
| 953 | spoly = p_Add_q(spoly, pp_Mult_qq(p, T->m[c], r), r); |
---|
| 954 | p_Delete(&p, r); |
---|
| 955 | |
---|
[1cf13b] | 956 | poly tail = syz_2; // TODO: use bucket!? |
---|
[204092] | 957 | |
---|
| 958 | while (spoly != NULL) |
---|
| 959 | { |
---|
[5cecde] | 960 | poly t = m_div.FindReducer(spoly, NULL, m_checker); |
---|
[204092] | 961 | |
---|
| 962 | p_LmDelete(&spoly, r); |
---|
| 963 | |
---|
| 964 | if( t != NULL ) |
---|
| 965 | { |
---|
| 966 | p = leadmonom(t, r); // :( |
---|
| 967 | c = p_GetComp(t, r) - 1; |
---|
| 968 | |
---|
| 969 | assume( c >= 0 && c < IDELEMS(T) ); |
---|
| 970 | |
---|
| 971 | spoly = p_Add_q(spoly, pp_Mult_qq(p, T->m[c], r), r); |
---|
| 972 | |
---|
| 973 | p_Delete(&p, r); |
---|
| 974 | |
---|
| 975 | tail = p_Add_q(tail, t, r); |
---|
| 976 | } |
---|
| 977 | } |
---|
| 978 | |
---|
| 979 | return tail; |
---|
| 980 | } |
---|
| 981 | |
---|
[1cf13b] | 982 | poly SchreyerSyzygyComputation::TraverseTail(poly multiplier, const int tail) const |
---|
| 983 | { |
---|
| 984 | // TODO: store (multiplier, tail) -.-^-.-^-.--> ! |
---|
| 985 | assume(m_idTails != NULL && m_idTails->m != NULL); |
---|
| 986 | assume( tail >= 0 && tail < IDELEMS(m_idTails) ); |
---|
| 987 | |
---|
[9936d6] | 988 | const poly t = m_idTails->m[tail]; // !!! |
---|
[1cf13b] | 989 | |
---|
| 990 | if(t != NULL) |
---|
| 991 | return TraverseTail(multiplier, t); |
---|
| 992 | |
---|
| 993 | return NULL; |
---|
| 994 | } |
---|
| 995 | |
---|
[204092] | 996 | |
---|
[c7d29b] | 997 | poly SchreyerSyzygyComputation::TraverseTail(poly multiplier, poly tail) const |
---|
[204092] | 998 | { |
---|
[e98c64] | 999 | assume( !__IGNORETAILS__ ); |
---|
| 1000 | |
---|
[c7d29b] | 1001 | const ideal& L = m_idLeads; |
---|
| 1002 | const ideal& T = m_idTails; |
---|
| 1003 | const ring& r = m_rBaseRing; |
---|
[204092] | 1004 | |
---|
[c7d29b] | 1005 | assume( multiplier != NULL ); |
---|
[204092] | 1006 | |
---|
[c7d29b] | 1007 | assume( L != NULL ); |
---|
| 1008 | assume( T != NULL ); |
---|
[204092] | 1009 | |
---|
[c7d29b] | 1010 | poly s = NULL; |
---|
[204092] | 1011 | |
---|
[026171] | 1012 | if( (!__TAILREDSYZ__) || m_lcm.Check(multiplier) ) |
---|
| 1013 | for(poly p = tail; p != NULL; p = pNext(p)) // iterate over the tail |
---|
| 1014 | s = p_Add_q(s, ReduceTerm(multiplier, p, NULL), r); |
---|
[204092] | 1015 | |
---|
[c7d29b] | 1016 | return s; |
---|
| 1017 | } |
---|
[204092] | 1018 | |
---|
| 1019 | |
---|
| 1020 | |
---|
| 1021 | |
---|
[c7d29b] | 1022 | poly SchreyerSyzygyComputation::ReduceTerm(poly multiplier, poly term4reduction, poly syztermCheck) const |
---|
| 1023 | { |
---|
[e98c64] | 1024 | assume( !__IGNORETAILS__ ); |
---|
| 1025 | |
---|
[c7d29b] | 1026 | const ideal& L = m_idLeads; |
---|
| 1027 | const ideal& T = m_idTails; |
---|
| 1028 | const ring& r = m_rBaseRing; |
---|
[204092] | 1029 | |
---|
[c7d29b] | 1030 | assume( multiplier != NULL ); |
---|
| 1031 | assume( term4reduction != NULL ); |
---|
[204092] | 1032 | |
---|
| 1033 | |
---|
[c7d29b] | 1034 | assume( L != NULL ); |
---|
| 1035 | assume( T != NULL ); |
---|
[204092] | 1036 | |
---|
[c7d29b] | 1037 | // simple implementation with FindReducer: |
---|
| 1038 | poly s = NULL; |
---|
[204092] | 1039 | |
---|
[026171] | 1040 | if( (!__TAILREDSYZ__) || m_lcm.Check(multiplier) ) |
---|
[c7d29b] | 1041 | { |
---|
[1cf13b] | 1042 | #if NOPRODUCT |
---|
| 1043 | s = m_div.FindReducer(multiplier, term4reduction, syztermCheck, m_checker); |
---|
| 1044 | #else |
---|
[c7d29b] | 1045 | // NOTE: only LT(term4reduction) should be used in the following: |
---|
| 1046 | poly product = pp_Mult_mm(multiplier, term4reduction, r); |
---|
[5cecde] | 1047 | s = m_div.FindReducer(product, syztermCheck, m_checker); |
---|
[c7d29b] | 1048 | p_Delete(&product, r); |
---|
[1cf13b] | 1049 | #endif |
---|
[204092] | 1050 | } |
---|
| 1051 | |
---|
[c7d29b] | 1052 | if( s == NULL ) // No Reducer? |
---|
| 1053 | return s; |
---|
[7088f18] | 1054 | |
---|
[c7d29b] | 1055 | poly b = leadmonom(s, r); |
---|
[7088f18] | 1056 | |
---|
[c7d29b] | 1057 | const int c = p_GetComp(s, r) - 1; |
---|
| 1058 | assume( c >= 0 && c < IDELEMS(T) ); |
---|
[4eba3ad] | 1059 | |
---|
[1cf13b] | 1060 | const poly t = TraverseTail(b, c); // T->m[c]; |
---|
[7088f18] | 1061 | |
---|
[1cf13b] | 1062 | if( t != NULL ) |
---|
| 1063 | s = p_Add_q(s, t, r); |
---|
[204092] | 1064 | |
---|
[c7d29b] | 1065 | return s; |
---|
[4eba3ad] | 1066 | } |
---|
| 1067 | |
---|
[204092] | 1068 | |
---|
[ff7993] | 1069 | |
---|
| 1070 | |
---|
[4eba3ad] | 1071 | |
---|
| 1072 | BEGIN_NAMESPACE_NONAME |
---|
| 1073 | |
---|
[026171] | 1074 | static inline int atGetInt(idhdl rootRingHdl, const char* attribute, long def) |
---|
[7088f18] | 1075 | { |
---|
[4eba3ad] | 1076 | return ((int)(long)(atGet(rootRingHdl, attribute, INT_CMD, (void*)def))); |
---|
| 1077 | } |
---|
| 1078 | |
---|
| 1079 | END_NAMESPACE |
---|
| 1080 | |
---|
| 1081 | SchreyerSyzygyComputationFlags::SchreyerSyzygyComputationFlags(idhdl rootRingHdl): |
---|
| 1082 | #ifndef NDEBUG |
---|
[13a431] | 1083 | __DEBUG__( (BOOLEAN)atGetInt(rootRingHdl,"DEBUG", FALSE) ), |
---|
[4eba3ad] | 1084 | #else |
---|
| 1085 | __DEBUG__( (BOOLEAN)atGetInt(rootRingHdl,"DEBUG", FALSE) ), |
---|
| 1086 | #endif |
---|
[495328] | 1087 | // __SYZCHECK__( (BOOLEAN)atGetInt(rootRingHdl, "SYZCHECK", __DEBUG__) ), |
---|
[4eba3ad] | 1088 | __LEAD2SYZ__( (BOOLEAN)atGetInt(rootRingHdl, "LEAD2SYZ", 1) ), |
---|
| 1089 | __TAILREDSYZ__( (BOOLEAN)atGetInt(rootRingHdl, "TAILREDSYZ", 1) ), |
---|
[495328] | 1090 | __HYBRIDNF__( (BOOLEAN)atGetInt(rootRingHdl, "HYBRIDNF", 0) ), |
---|
[e98c64] | 1091 | __IGNORETAILS__( (BOOLEAN)atGetInt(rootRingHdl, "IGNORETAILS", 0) ), |
---|
[495328] | 1092 | m_rBaseRing( rootRingHdl->data.uring ) |
---|
[4eba3ad] | 1093 | { |
---|
| 1094 | if( __DEBUG__ ) |
---|
| 1095 | { |
---|
| 1096 | PrintS("SchreyerSyzygyComputationFlags: \n"); |
---|
[e98c64] | 1097 | Print(" DEBUG: \t%d\n", __DEBUG__); |
---|
[495328] | 1098 | // Print(" SYZCHECK : \t%d\n", __SYZCHECK__); |
---|
[e98c64] | 1099 | Print(" LEAD2SYZ: \t%d\n", __LEAD2SYZ__); |
---|
[4eba3ad] | 1100 | Print(" TAILREDSYZ: \t%d\n", __TAILREDSYZ__); |
---|
[e98c64] | 1101 | Print(" IGNORETAILS: \t%d\n", __IGNORETAILS__); |
---|
| 1102 | |
---|
[4eba3ad] | 1103 | } |
---|
| 1104 | |
---|
| 1105 | // TODO: just current setting! |
---|
| 1106 | assume( rootRingHdl == currRingHdl ); |
---|
| 1107 | assume( rootRingHdl->typ == RING_CMD ); |
---|
[495328] | 1108 | assume( m_rBaseRing == currRing ); |
---|
[4eba3ad] | 1109 | // move the global ring here inside??? |
---|
[7088f18] | 1110 | } |
---|
[ff7993] | 1111 | |
---|
[7088f18] | 1112 | |
---|
[ff7993] | 1113 | |
---|
[1a4c343] | 1114 | CLeadingTerm::CLeadingTerm(unsigned int _label, const poly _lt, const ring R): |
---|
[495328] | 1115 | m_sev( p_GetShortExpVector(_lt, R) ), m_label( _label ), m_lt( _lt ) |
---|
| 1116 | { } |
---|
| 1117 | |
---|
| 1118 | |
---|
| 1119 | CReducerFinder::~CReducerFinder() |
---|
| 1120 | { |
---|
| 1121 | for( CReducersHash::const_iterator it = m_hash.begin(); it != m_hash.end(); it++ ) |
---|
| 1122 | { |
---|
| 1123 | const TReducers& v = it->second; |
---|
| 1124 | for(TReducers::const_iterator vit = v.begin(); vit != v.end(); vit++ ) |
---|
| 1125 | delete const_cast<CLeadingTerm*>(*vit); |
---|
| 1126 | } |
---|
| 1127 | } |
---|
| 1128 | |
---|
[5cecde] | 1129 | |
---|
| 1130 | void CReducerFinder::Initialize(const ideal L) |
---|
| 1131 | { |
---|
| 1132 | assume( m_L == NULL || m_L == L ); |
---|
| 1133 | if( m_L == NULL ) |
---|
| 1134 | m_L = L; |
---|
| 1135 | |
---|
| 1136 | assume( m_L == L ); |
---|
| 1137 | |
---|
| 1138 | if( L != NULL ) |
---|
| 1139 | { |
---|
| 1140 | const ring& R = m_rBaseRing; |
---|
| 1141 | assume( R != NULL ); |
---|
| 1142 | |
---|
| 1143 | for( int k = IDELEMS(L) - 1; k >= 0; k-- ) |
---|
| 1144 | { |
---|
| 1145 | const poly a = L->m[k]; // assume( a != NULL ); |
---|
| 1146 | |
---|
| 1147 | // NOTE: label is k \in 0 ... |L|-1!!! |
---|
| 1148 | if( a != NULL ) |
---|
| 1149 | m_hash[p_GetComp(a, R)].push_back( new CLeadingTerm(k, a, R) ); |
---|
| 1150 | } |
---|
| 1151 | } |
---|
| 1152 | } |
---|
| 1153 | |
---|
| 1154 | CReducerFinder::CReducerFinder(const ideal L, const SchreyerSyzygyComputationFlags& flags): |
---|
| 1155 | SchreyerSyzygyComputationFlags(flags), |
---|
| 1156 | m_L(const_cast<ideal>(L)), // for debug anyway |
---|
[495328] | 1157 | m_hash() |
---|
| 1158 | { |
---|
[5cecde] | 1159 | assume( flags.m_rBaseRing == m_rBaseRing ); |
---|
| 1160 | if( L != NULL ) |
---|
| 1161 | Initialize(L); |
---|
| 1162 | } |
---|
[495328] | 1163 | |
---|
[1a4c343] | 1164 | /// _p_LmDivisibleByNoComp for a | b*c |
---|
| 1165 | static inline BOOLEAN _p_LmDivisibleByNoComp(const poly a, const poly b, const poly c, const ring r) |
---|
| 1166 | { |
---|
| 1167 | int i=r->VarL_Size - 1; |
---|
| 1168 | unsigned long divmask = r->divmask; |
---|
| 1169 | unsigned long la, lb; |
---|
| 1170 | |
---|
| 1171 | if (r->VarL_LowIndex >= 0) |
---|
| 1172 | { |
---|
| 1173 | i += r->VarL_LowIndex; |
---|
| 1174 | do |
---|
| 1175 | { |
---|
| 1176 | la = a->exp[i]; |
---|
| 1177 | lb = b->exp[i] + c->exp[i]; |
---|
| 1178 | if ((la > lb) || |
---|
| 1179 | (((la & divmask) ^ (lb & divmask)) != ((lb - la) & divmask))) |
---|
| 1180 | { |
---|
| 1181 | pDivAssume(p_DebugLmDivisibleByNoComp(a, b, r) == FALSE); |
---|
| 1182 | return FALSE; |
---|
| 1183 | } |
---|
| 1184 | i--; |
---|
| 1185 | } |
---|
| 1186 | while (i>=r->VarL_LowIndex); |
---|
| 1187 | } |
---|
| 1188 | else |
---|
| 1189 | { |
---|
| 1190 | do |
---|
| 1191 | { |
---|
| 1192 | la = a->exp[r->VarL_Offset[i]]; |
---|
| 1193 | lb = b->exp[r->VarL_Offset[i]] + c->exp[r->VarL_Offset[i]]; |
---|
| 1194 | if ((la > lb) || |
---|
| 1195 | (((la & divmask) ^ (lb & divmask)) != ((lb - la) & divmask))) |
---|
| 1196 | { |
---|
| 1197 | pDivAssume(p_DebugLmDivisibleByNoComp(a, b, r) == FALSE); |
---|
| 1198 | return FALSE; |
---|
| 1199 | } |
---|
| 1200 | i--; |
---|
| 1201 | } |
---|
| 1202 | while (i>=0); |
---|
| 1203 | } |
---|
| 1204 | #ifdef HAVE_RINGS |
---|
| 1205 | assume( !rField_is_Ring(r) ); // not implemented for rings...! |
---|
| 1206 | #endif |
---|
| 1207 | return TRUE; |
---|
| 1208 | } |
---|
| 1209 | |
---|
| 1210 | bool CLeadingTerm::DivisibilityCheck(const poly product, const unsigned long not_sev, const ring r) const |
---|
| 1211 | { |
---|
| 1212 | const poly p = m_lt; |
---|
| 1213 | |
---|
| 1214 | assume( p_GetComp(p, r) == p_GetComp(product, r) ); |
---|
| 1215 | |
---|
| 1216 | const int k = m_label; |
---|
| 1217 | |
---|
| 1218 | // assume( m_L->m[k] == p ); |
---|
| 1219 | |
---|
| 1220 | const unsigned long p_sev = m_sev; |
---|
| 1221 | |
---|
| 1222 | assume( p_sev == p_GetShortExpVector(p, r) ); |
---|
| 1223 | |
---|
| 1224 | return p_LmShortDivisibleByNoComp(p, p_sev, product, not_sev, r); |
---|
| 1225 | |
---|
| 1226 | } |
---|
| 1227 | |
---|
| 1228 | /// as DivisibilityCheck(multiplier * t, ...) for monomial 'm' |
---|
| 1229 | /// and a module term 't' |
---|
| 1230 | bool CLeadingTerm::DivisibilityCheck(const poly m, const poly t, const unsigned long not_sev, const ring r) const |
---|
| 1231 | { |
---|
| 1232 | const poly p = m_lt; |
---|
| 1233 | |
---|
| 1234 | assume( p_GetComp(p, r) == p_GetComp(t, r) ); |
---|
[6bfd78] | 1235 | // assume( p_GetComp(m, r) == 0 ); |
---|
[1a4c343] | 1236 | |
---|
| 1237 | // const int k = m_label; |
---|
| 1238 | // assume( m_L->m[k] == p ); |
---|
| 1239 | |
---|
| 1240 | const unsigned long p_sev = m_sev; |
---|
| 1241 | assume( p_sev == p_GetShortExpVector(p, r) ); |
---|
| 1242 | |
---|
| 1243 | if (p_sev & not_sev) |
---|
| 1244 | return false; |
---|
| 1245 | |
---|
| 1246 | return _p_LmDivisibleByNoComp(p, m, t, r); |
---|
| 1247 | |
---|
| 1248 | // return p_LmShortDivisibleByNoComp(p, p_sev, product, not_sev, r); |
---|
| 1249 | |
---|
| 1250 | } |
---|
[495328] | 1251 | |
---|
[6bfd78] | 1252 | |
---|
| 1253 | |
---|
| 1254 | /// TODO: |
---|
| 1255 | class CDivisorEnumerator: public SchreyerSyzygyComputationFlags |
---|
| 1256 | { |
---|
| 1257 | private: |
---|
| 1258 | const CReducerFinder& m_reds; |
---|
| 1259 | const poly m_product; |
---|
| 1260 | const unsigned long m_not_sev; |
---|
| 1261 | const unsigned long m_comp; |
---|
| 1262 | |
---|
| 1263 | CReducerFinder::CReducersHash::const_iterator m_itr; |
---|
| 1264 | CReducerFinder::TReducers::const_iterator m_current, m_finish; |
---|
| 1265 | |
---|
| 1266 | bool m_active; |
---|
| 1267 | |
---|
| 1268 | public: |
---|
| 1269 | CDivisorEnumerator(const CReducerFinder& self, const poly product): |
---|
| 1270 | SchreyerSyzygyComputationFlags(self), |
---|
| 1271 | m_reds(self), |
---|
| 1272 | m_product(product), |
---|
| 1273 | m_not_sev(~p_GetShortExpVector(product, m_rBaseRing)), |
---|
| 1274 | m_comp(p_GetComp(product, m_rBaseRing)), |
---|
| 1275 | m_itr(), m_current(), m_finish(), |
---|
| 1276 | m_active(false) |
---|
| 1277 | { |
---|
| 1278 | assume( m_comp >= 0 ); |
---|
| 1279 | assume( m_reds.m_L != NULL ); |
---|
| 1280 | } |
---|
| 1281 | |
---|
| 1282 | inline bool Reset() |
---|
| 1283 | { |
---|
| 1284 | m_active = false; |
---|
| 1285 | |
---|
| 1286 | m_itr = m_reds.m_hash.find(m_comp); |
---|
| 1287 | |
---|
| 1288 | if( m_itr == m_reds.m_hash.end() ) |
---|
| 1289 | return false; |
---|
| 1290 | |
---|
| 1291 | assume( m_itr->first == m_comp ); |
---|
| 1292 | |
---|
| 1293 | m_current = (m_itr->second).begin(); |
---|
| 1294 | m_finish = (m_itr->second).end(); |
---|
| 1295 | |
---|
| 1296 | if (m_current == m_finish) |
---|
| 1297 | return false; |
---|
| 1298 | |
---|
| 1299 | // m_active = true; |
---|
| 1300 | return true; |
---|
| 1301 | } |
---|
| 1302 | |
---|
| 1303 | const CLeadingTerm& Current() const |
---|
| 1304 | { |
---|
| 1305 | assume( m_active ); |
---|
| 1306 | assume( m_current != m_finish ); |
---|
| 1307 | |
---|
| 1308 | return *(*m_current); |
---|
| 1309 | } |
---|
| 1310 | |
---|
| 1311 | inline bool MoveNext() |
---|
| 1312 | { |
---|
| 1313 | assume( m_current != m_finish ); |
---|
| 1314 | |
---|
| 1315 | if( m_active ) |
---|
| 1316 | ++m_current; |
---|
| 1317 | else |
---|
| 1318 | m_active = true; // for Current() |
---|
| 1319 | |
---|
| 1320 | // looking for the next good entry |
---|
| 1321 | for( ; m_current != m_finish; ++m_current ) |
---|
| 1322 | { |
---|
| 1323 | assume( m_reds.m_L->m[Current().m_label] == Current().m_lt ); |
---|
| 1324 | |
---|
| 1325 | if( Current().DivisibilityCheck(m_product, m_not_sev, m_rBaseRing) ) |
---|
| 1326 | { |
---|
| 1327 | if( __DEBUG__ ) |
---|
| 1328 | { |
---|
| 1329 | Print("CDivisorEnumerator::MoveNext::est LS: q is divisible by LS[%d] !:((, diviser is: ", 1 + Current().m_label); |
---|
| 1330 | dPrint(Current().m_lt, m_rBaseRing, m_rBaseRing, 1); |
---|
| 1331 | } |
---|
| 1332 | |
---|
| 1333 | // m_active = true; |
---|
| 1334 | return true; |
---|
| 1335 | } |
---|
| 1336 | } |
---|
| 1337 | |
---|
| 1338 | // the end... :( |
---|
| 1339 | assume( m_current == m_finish ); |
---|
| 1340 | |
---|
| 1341 | m_active = false; |
---|
| 1342 | return false; |
---|
| 1343 | } |
---|
| 1344 | }; |
---|
| 1345 | |
---|
| 1346 | |
---|
| 1347 | |
---|
[5cecde] | 1348 | bool CReducerFinder::IsDivisible(const poly product) const |
---|
| 1349 | { |
---|
[6bfd78] | 1350 | CDivisorEnumerator itr(*this, product); |
---|
| 1351 | if( !itr.Reset() ) |
---|
| 1352 | return false; |
---|
| 1353 | |
---|
| 1354 | return itr.MoveNext(); |
---|
| 1355 | |
---|
| 1356 | /* |
---|
[5cecde] | 1357 | const ring& r = m_rBaseRing; |
---|
| 1358 | |
---|
| 1359 | const long comp = p_GetComp(product, r); |
---|
| 1360 | const unsigned long not_sev = ~p_GetShortExpVector(product, r); |
---|
| 1361 | |
---|
| 1362 | assume( comp >= 0 ); |
---|
| 1363 | |
---|
| 1364 | CReducersHash::const_iterator it = m_hash.find(comp); // same module component |
---|
| 1365 | |
---|
[6bfd78] | 1366 | assume( m_L != NULL ); |
---|
| 1367 | |
---|
[5cecde] | 1368 | if( it == m_hash.end() ) |
---|
| 1369 | return false; |
---|
[495328] | 1370 | |
---|
[5cecde] | 1371 | const TReducers& reducers = it->second; |
---|
| 1372 | |
---|
| 1373 | for(TReducers::const_iterator vit = reducers.begin(); vit != reducers.end(); vit++ ) |
---|
[495328] | 1374 | { |
---|
[1a4c343] | 1375 | assume( m_L->m[(*vit)->m_label] == (*vit)->m_lt ); |
---|
[5cecde] | 1376 | |
---|
[1a4c343] | 1377 | if( (*vit)->DivisibilityCheck(product, not_sev, r) ) |
---|
[5cecde] | 1378 | { |
---|
[1a4c343] | 1379 | if( __DEBUG__ ) |
---|
| 1380 | { |
---|
| 1381 | Print("_FindReducer::Test LS: q is divisible by LS[%d] !:((, diviser is: ", 1 + (*vit)->m_label); |
---|
| 1382 | dPrint((*vit)->m_lt, r, r, 1); |
---|
| 1383 | } |
---|
[5cecde] | 1384 | |
---|
[1a4c343] | 1385 | return true; |
---|
| 1386 | } |
---|
[495328] | 1387 | } |
---|
[5cecde] | 1388 | |
---|
| 1389 | return false; |
---|
[6bfd78] | 1390 | */ |
---|
[495328] | 1391 | } |
---|
| 1392 | |
---|
| 1393 | |
---|
[c81423] | 1394 | #ifndef NDEBUG |
---|
| 1395 | void CReducerFinder::DebugPrint() const |
---|
| 1396 | { |
---|
| 1397 | const ring& r = m_rBaseRing; |
---|
| 1398 | |
---|
| 1399 | for( CReducersHash::const_iterator it = m_hash.begin(); it != m_hash.end(); it++) |
---|
| 1400 | { |
---|
| 1401 | Print("Hash Key: %d, Values: \n", it->first); |
---|
| 1402 | const TReducers& reducers = it->second; |
---|
| 1403 | |
---|
| 1404 | for(TReducers::const_iterator vit = reducers.begin(); vit != reducers.end(); vit++ ) |
---|
| 1405 | { |
---|
| 1406 | const poly p = (*vit)->m_lt; |
---|
| 1407 | |
---|
| 1408 | assume( p_GetComp(p, r) == it->first ); |
---|
| 1409 | |
---|
| 1410 | const int k = (*vit)->m_label; |
---|
| 1411 | |
---|
| 1412 | assume( m_L->m[k] == p ); |
---|
| 1413 | |
---|
| 1414 | const unsigned long p_sev = (*vit)->m_sev; |
---|
| 1415 | |
---|
| 1416 | assume( p_sev == p_GetShortExpVector(p, r) ); |
---|
| 1417 | |
---|
| 1418 | Print("L[%d]: ", k); dPrint(p, r, r, 0); Print("SEV: %dl\n", p_sev); |
---|
| 1419 | } |
---|
| 1420 | } |
---|
| 1421 | } |
---|
| 1422 | #endif |
---|
| 1423 | |
---|
[6bfd78] | 1424 | /// TODO: |
---|
| 1425 | class CDivisorEnumerator2: public SchreyerSyzygyComputationFlags |
---|
| 1426 | { |
---|
| 1427 | private: |
---|
| 1428 | const CReducerFinder& m_reds; |
---|
| 1429 | const poly m_multiplier, m_term; |
---|
| 1430 | const unsigned long m_not_sev; |
---|
| 1431 | const unsigned long m_comp; |
---|
| 1432 | |
---|
| 1433 | CReducerFinder::CReducersHash::const_iterator m_itr; |
---|
| 1434 | CReducerFinder::TReducers::const_iterator m_current, m_finish; |
---|
| 1435 | |
---|
| 1436 | bool m_active; |
---|
| 1437 | |
---|
| 1438 | public: |
---|
| 1439 | CDivisorEnumerator2(const CReducerFinder& self, const poly m, const poly t): |
---|
| 1440 | SchreyerSyzygyComputationFlags(self), |
---|
| 1441 | m_reds(self), |
---|
| 1442 | m_multiplier(m), m_term(t), |
---|
| 1443 | m_not_sev(~p_GetShortExpVector(m, t, m_rBaseRing)), |
---|
| 1444 | m_comp(p_GetComp(t, m_rBaseRing)), |
---|
| 1445 | m_itr(), m_current(), m_finish(), |
---|
| 1446 | m_active(false) |
---|
| 1447 | { |
---|
| 1448 | assume( m_comp >= 0 ); |
---|
| 1449 | assume( m_reds.m_L != NULL ); |
---|
| 1450 | assume( m_multiplier != NULL ); |
---|
| 1451 | assume( m_term != NULL ); |
---|
| 1452 | // assume( p_GetComp(m_multiplier, m_rBaseRing) == 0 ); |
---|
| 1453 | } |
---|
| 1454 | |
---|
| 1455 | inline bool Reset() |
---|
| 1456 | { |
---|
| 1457 | m_active = false; |
---|
| 1458 | |
---|
| 1459 | m_itr = m_reds.m_hash.find(m_comp); |
---|
| 1460 | |
---|
| 1461 | if( m_itr == m_reds.m_hash.end() ) |
---|
| 1462 | return false; |
---|
| 1463 | |
---|
| 1464 | assume( m_itr->first == m_comp ); |
---|
| 1465 | |
---|
| 1466 | m_current = (m_itr->second).begin(); |
---|
| 1467 | m_finish = (m_itr->second).end(); |
---|
| 1468 | |
---|
| 1469 | if (m_current == m_finish) |
---|
| 1470 | return false; |
---|
| 1471 | |
---|
| 1472 | return true; |
---|
| 1473 | } |
---|
| 1474 | |
---|
| 1475 | const CLeadingTerm& Current() const |
---|
| 1476 | { |
---|
| 1477 | assume( m_active ); |
---|
| 1478 | assume( m_current != m_finish ); |
---|
| 1479 | |
---|
| 1480 | return *(*m_current); |
---|
| 1481 | } |
---|
| 1482 | |
---|
| 1483 | inline bool MoveNext() |
---|
| 1484 | { |
---|
| 1485 | assume( m_current != m_finish ); |
---|
| 1486 | |
---|
| 1487 | if( m_active ) |
---|
| 1488 | ++m_current; |
---|
| 1489 | else |
---|
| 1490 | m_active = true; |
---|
| 1491 | |
---|
| 1492 | |
---|
| 1493 | // looking for the next good entry |
---|
| 1494 | for( ; m_current != m_finish; ++m_current ) |
---|
| 1495 | { |
---|
| 1496 | assume( m_reds.m_L->m[Current().m_label] == Current().m_lt ); |
---|
| 1497 | |
---|
| 1498 | if( Current().DivisibilityCheck(m_multiplier, m_term, m_not_sev, m_rBaseRing) ) |
---|
| 1499 | { |
---|
| 1500 | if( __DEBUG__ ) |
---|
| 1501 | { |
---|
| 1502 | Print("CDivisorEnumerator::MoveNext::est LS: q is divisible by LS[%d] !:((, diviser is: ", 1 + Current().m_label); |
---|
| 1503 | dPrint(Current().m_lt, m_rBaseRing, m_rBaseRing, 1); |
---|
| 1504 | } |
---|
| 1505 | |
---|
| 1506 | // m_active = true; |
---|
| 1507 | return true; |
---|
| 1508 | |
---|
| 1509 | } |
---|
| 1510 | } |
---|
| 1511 | |
---|
| 1512 | // the end... :( |
---|
| 1513 | assume( m_current == m_finish ); |
---|
| 1514 | |
---|
| 1515 | m_active = false; |
---|
| 1516 | return false; |
---|
| 1517 | } |
---|
| 1518 | }; |
---|
| 1519 | |
---|
[1cf13b] | 1520 | poly CReducerFinder::FindReducer(const poly multiplier, const poly t, |
---|
[6bfd78] | 1521 | const poly syzterm, |
---|
| 1522 | const CReducerFinder& syz_checker) const |
---|
[1cf13b] | 1523 | { |
---|
[6bfd78] | 1524 | CDivisorEnumerator2 itr(*this, multiplier, t); |
---|
| 1525 | if( !itr.Reset() ) |
---|
| 1526 | return NULL; |
---|
| 1527 | |
---|
| 1528 | // don't care about the module component of multiplier (as it may be the syzygy term) |
---|
[1cf13b] | 1529 | // product = multiplier * t? |
---|
| 1530 | const ring& r = m_rBaseRing; |
---|
| 1531 | |
---|
| 1532 | assume( multiplier != NULL ); assume( t != NULL ); |
---|
| 1533 | |
---|
| 1534 | const ideal& L = m_L; assume( L != NULL ); // for debug/testing only! |
---|
| 1535 | |
---|
| 1536 | long c = 0; |
---|
| 1537 | |
---|
| 1538 | if (syzterm != NULL) |
---|
| 1539 | c = p_GetComp(syzterm, r) - 1; |
---|
| 1540 | |
---|
| 1541 | assume( c >= 0 && c < IDELEMS(L) ); |
---|
| 1542 | |
---|
| 1543 | if (__DEBUG__ && (syzterm != NULL)) |
---|
| 1544 | { |
---|
| 1545 | const poly m = L->m[c]; |
---|
| 1546 | |
---|
| 1547 | assume( m != NULL ); assume( pNext(m) == NULL ); |
---|
| 1548 | |
---|
| 1549 | poly lm = p_Mult_mm(leadmonom(syzterm, r), m, r); |
---|
| 1550 | |
---|
[9936d6] | 1551 | poly pr = p_Mult_q( leadmonom(multiplier, r, false), leadmonom(t, r, false), r); |
---|
[1cf13b] | 1552 | |
---|
| 1553 | assume( p_EqualPolys(lm, pr, r) ); |
---|
| 1554 | |
---|
| 1555 | // def @@c = leadcomp(syzterm); int @@r = int(@@c); |
---|
| 1556 | // def @@product = leadmonomial(syzterm) * L[@@r]; |
---|
| 1557 | |
---|
| 1558 | p_Delete(&lm, r); |
---|
| 1559 | p_Delete(&pr, r); |
---|
| 1560 | } |
---|
[6bfd78] | 1561 | |
---|
| 1562 | const BOOLEAN to_check = (syz_checker.IsNonempty()); // __TAILREDSYZ__ && |
---|
| 1563 | |
---|
| 1564 | const poly q = p_New(r); pNext(q) = NULL; |
---|
| 1565 | |
---|
| 1566 | if( __DEBUG__ ) |
---|
| 1567 | p_SetCoeff0(q, 0, r); // for printing q |
---|
| 1568 | |
---|
| 1569 | while( itr.MoveNext() ) |
---|
| 1570 | { |
---|
| 1571 | const poly p = itr.Current().m_lt; |
---|
| 1572 | const int k = itr.Current().m_label; |
---|
| 1573 | |
---|
| 1574 | p_ExpVectorSum(q, multiplier, t, r); // q == product == multiplier * t // TODO: do it once? |
---|
| 1575 | p_ExpVectorDiff(q, q, p, r); // (LM(product) / LM(L[k])) |
---|
| 1576 | |
---|
| 1577 | p_SetComp(q, k + 1, r); |
---|
| 1578 | p_Setm(q, r); |
---|
| 1579 | |
---|
| 1580 | // cannot allow something like: a*gen(i) - a*gen(i) |
---|
| 1581 | if (syzterm != NULL && (k == c)) |
---|
| 1582 | if (p_ExpVectorEqual(syzterm, q, r)) |
---|
| 1583 | { |
---|
| 1584 | if( __DEBUG__ ) |
---|
| 1585 | { |
---|
| 1586 | Print("_FindReducer::Test SYZTERM: q == syzterm !:((, syzterm is: "); |
---|
| 1587 | dPrint(syzterm, r, r, 1); |
---|
| 1588 | } |
---|
| 1589 | |
---|
| 1590 | continue; |
---|
| 1591 | } |
---|
| 1592 | |
---|
| 1593 | // while the complement (the fraction) is not reducible by leading syzygies |
---|
| 1594 | if( to_check && syz_checker.IsDivisible(q) ) |
---|
| 1595 | { |
---|
| 1596 | if( __DEBUG__ ) |
---|
| 1597 | { |
---|
| 1598 | PrintS("_FindReducer::Test LS: q is divisible by LS[?] !:((: "); |
---|
| 1599 | } |
---|
| 1600 | |
---|
| 1601 | continue; |
---|
| 1602 | } |
---|
| 1603 | |
---|
| 1604 | number n = n_Mult( p_GetCoeff(multiplier, r), p_GetCoeff(t, r), r); |
---|
| 1605 | p_SetCoeff0(q, n_Neg( n_Div(n, p_GetCoeff(p, r), r), r), r); |
---|
| 1606 | n_Delete(&n, r); |
---|
| 1607 | |
---|
| 1608 | return q; |
---|
| 1609 | } |
---|
| 1610 | |
---|
[9936d6] | 1611 | /* |
---|
[6bfd78] | 1612 | const long comp = p_GetComp(t, r); assume( comp >= 0 ); |
---|
[1cf13b] | 1613 | const unsigned long not_sev = ~p_GetShortExpVector(multiplier, t, r); // ! |
---|
| 1614 | |
---|
| 1615 | // for( int k = IDELEMS(L)-1; k>= 0; k-- ) |
---|
| 1616 | // { |
---|
| 1617 | // const poly p = L->m[k]; |
---|
| 1618 | // |
---|
| 1619 | // if ( p_GetComp(p, r) != comp ) |
---|
| 1620 | // continue; |
---|
| 1621 | // |
---|
| 1622 | // const unsigned long p_sev = p_GetShortExpVector(p, r); // to be stored in m_hash!!! |
---|
| 1623 | |
---|
| 1624 | // looking for an appropriate diviser p = L[k]... |
---|
| 1625 | CReducersHash::const_iterator it = m_hash.find(comp); // same module component |
---|
| 1626 | |
---|
| 1627 | if( it == m_hash.end() ) |
---|
| 1628 | return NULL; |
---|
| 1629 | |
---|
| 1630 | assume( m_L != NULL ); |
---|
| 1631 | |
---|
| 1632 | const TReducers& reducers = it->second; |
---|
| 1633 | |
---|
| 1634 | for(TReducers::const_iterator vit = reducers.begin(); vit != reducers.end(); vit++ ) |
---|
| 1635 | { |
---|
| 1636 | |
---|
[1a4c343] | 1637 | const poly p = (*vit)->m_lt; |
---|
[1cf13b] | 1638 | const int k = (*vit)->m_label; |
---|
| 1639 | |
---|
| 1640 | assume( L->m[k] == p ); |
---|
| 1641 | |
---|
[1a4c343] | 1642 | // const unsigned long p_sev = (*vit)->m_sev; |
---|
| 1643 | // assume( p_sev == p_GetShortExpVector(p, r) ); |
---|
[1cf13b] | 1644 | |
---|
| 1645 | // if( !p_LmShortDivisibleByNoComp(p, p_sev, product, not_sev, r) ) |
---|
| 1646 | // continue; |
---|
| 1647 | |
---|
[1a4c343] | 1648 | if( !(*vit)->DivisibilityCheck(multiplier, t, not_sev, r) ) |
---|
[1cf13b] | 1649 | continue; |
---|
[1a4c343] | 1650 | |
---|
| 1651 | |
---|
| 1652 | // if (p_sev & not_sev) continue; |
---|
| 1653 | // if( !_p_LmDivisibleByNoComp(p, multiplier, t, r) ) continue; |
---|
[1cf13b] | 1654 | |
---|
| 1655 | |
---|
| 1656 | p_ExpVectorSum(q, multiplier, t, r); // q == product == multiplier * t |
---|
| 1657 | p_ExpVectorDiff(q, q, p, r); // (LM(product) / LM(L[k])) |
---|
| 1658 | |
---|
| 1659 | p_SetComp(q, k + 1, r); |
---|
| 1660 | p_Setm(q, r); |
---|
| 1661 | |
---|
| 1662 | // cannot allow something like: a*gen(i) - a*gen(i) |
---|
| 1663 | if (syzterm != NULL && (k == c)) |
---|
| 1664 | if (p_ExpVectorEqual(syzterm, q, r)) |
---|
| 1665 | { |
---|
| 1666 | if( __DEBUG__ ) |
---|
| 1667 | { |
---|
| 1668 | Print("_FindReducer::Test SYZTERM: q == syzterm !:((, syzterm is: "); |
---|
| 1669 | dPrint(syzterm, r, r, 1); |
---|
| 1670 | } |
---|
| 1671 | |
---|
| 1672 | continue; |
---|
| 1673 | } |
---|
| 1674 | |
---|
| 1675 | // while the complement (the fraction) is not reducible by leading syzygies |
---|
| 1676 | if( to_check && syz_checker.IsDivisible(q) ) |
---|
| 1677 | { |
---|
| 1678 | if( __DEBUG__ ) |
---|
| 1679 | { |
---|
| 1680 | PrintS("_FindReducer::Test LS: q is divisible by LS[?] !:((: "); |
---|
| 1681 | } |
---|
| 1682 | |
---|
| 1683 | continue; |
---|
| 1684 | } |
---|
| 1685 | |
---|
| 1686 | number n = n_Mult( p_GetCoeff(multiplier, r), p_GetCoeff(t, r), r); |
---|
| 1687 | p_SetCoeff0(q, n_Neg( n_Div(n, p_GetCoeff(p, r), r), r), r); |
---|
| 1688 | n_Delete(&n, r); |
---|
| 1689 | |
---|
| 1690 | return q; |
---|
| 1691 | } |
---|
[9936d6] | 1692 | */ |
---|
[1cf13b] | 1693 | |
---|
| 1694 | p_LmFree(q, r); |
---|
| 1695 | |
---|
| 1696 | return NULL; |
---|
[9936d6] | 1697 | |
---|
[1cf13b] | 1698 | } |
---|
| 1699 | |
---|
| 1700 | |
---|
[5cecde] | 1701 | poly CReducerFinder::FindReducer(const poly product, const poly syzterm, const CReducerFinder& syz_checker) const |
---|
[495328] | 1702 | { |
---|
[9936d6] | 1703 | CDivisorEnumerator itr(*this, product); |
---|
| 1704 | if( !itr.Reset() ) |
---|
| 1705 | return NULL; |
---|
| 1706 | |
---|
| 1707 | |
---|
[495328] | 1708 | const ring& r = m_rBaseRing; |
---|
| 1709 | |
---|
| 1710 | assume( product != NULL ); |
---|
[5cecde] | 1711 | |
---|
| 1712 | const ideal& L = m_L; assume( L != NULL ); // for debug/testing only! |
---|
[495328] | 1713 | |
---|
| 1714 | long c = 0; |
---|
| 1715 | |
---|
| 1716 | if (syzterm != NULL) |
---|
| 1717 | c = p_GetComp(syzterm, r) - 1; |
---|
| 1718 | |
---|
| 1719 | assume( c >= 0 && c < IDELEMS(L) ); |
---|
| 1720 | |
---|
| 1721 | if (__DEBUG__ && (syzterm != NULL)) |
---|
| 1722 | { |
---|
| 1723 | const poly m = L->m[c]; |
---|
| 1724 | |
---|
| 1725 | assume( m != NULL ); assume( pNext(m) == NULL ); |
---|
| 1726 | |
---|
| 1727 | poly lm = p_Mult_mm(leadmonom(syzterm, r), m, r); |
---|
| 1728 | assume( p_EqualPolys(lm, product, r) ); |
---|
| 1729 | |
---|
| 1730 | // def @@c = leadcomp(syzterm); int @@r = int(@@c); |
---|
| 1731 | // def @@product = leadmonomial(syzterm) * L[@@r]; |
---|
| 1732 | |
---|
| 1733 | p_Delete(&lm, r); |
---|
| 1734 | } |
---|
| 1735 | |
---|
[9936d6] | 1736 | |
---|
| 1737 | const BOOLEAN to_check = (syz_checker.IsNonempty()); // __TAILREDSYZ__ && |
---|
| 1738 | |
---|
| 1739 | const poly q = p_New(r); pNext(q) = NULL; |
---|
| 1740 | |
---|
| 1741 | if( __DEBUG__ ) |
---|
| 1742 | p_SetCoeff0(q, 0, r); // for printing q |
---|
| 1743 | |
---|
| 1744 | while( itr.MoveNext() ) |
---|
| 1745 | { |
---|
| 1746 | const poly p = itr.Current().m_lt; |
---|
| 1747 | const int k = itr.Current().m_label; |
---|
| 1748 | |
---|
| 1749 | p_ExpVectorDiff(q, product, p, r); // (LM(product) / LM(L[k])) |
---|
| 1750 | p_SetComp(q, k + 1, r); |
---|
| 1751 | p_Setm(q, r); |
---|
| 1752 | |
---|
| 1753 | // cannot allow something like: a*gen(i) - a*gen(i) |
---|
| 1754 | if (syzterm != NULL && (k == c)) |
---|
| 1755 | if (p_ExpVectorEqual(syzterm, q, r)) |
---|
| 1756 | { |
---|
| 1757 | if( __DEBUG__ ) |
---|
| 1758 | { |
---|
| 1759 | Print("_FindReducer::Test SYZTERM: q == syzterm !:((, syzterm is: "); |
---|
| 1760 | dPrint(syzterm, r, r, 1); |
---|
| 1761 | } |
---|
| 1762 | |
---|
| 1763 | continue; |
---|
| 1764 | } |
---|
| 1765 | |
---|
| 1766 | // while the complement (the fraction) is not reducible by leading syzygies |
---|
| 1767 | if( to_check && syz_checker.IsDivisible(q) ) |
---|
| 1768 | { |
---|
| 1769 | if( __DEBUG__ ) |
---|
| 1770 | { |
---|
| 1771 | PrintS("_FindReducer::Test LS: q is divisible by LS[?] !:((: "); |
---|
| 1772 | } |
---|
| 1773 | |
---|
| 1774 | continue; |
---|
| 1775 | } |
---|
| 1776 | |
---|
| 1777 | p_SetCoeff0(q, n_Neg( n_Div( p_GetCoeff(product, r), p_GetCoeff(p, r), r), r), r); |
---|
| 1778 | |
---|
| 1779 | return q; |
---|
| 1780 | } |
---|
| 1781 | |
---|
| 1782 | |
---|
| 1783 | |
---|
| 1784 | /* |
---|
[495328] | 1785 | const long comp = p_GetComp(product, r); |
---|
| 1786 | const unsigned long not_sev = ~p_GetShortExpVector(product, r); |
---|
| 1787 | |
---|
| 1788 | assume( comp >= 0 ); |
---|
| 1789 | |
---|
[5cecde] | 1790 | // for( int k = IDELEMS(L)-1; k>= 0; k-- ) |
---|
| 1791 | // { |
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| 1792 | // const poly p = L->m[k]; |
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| 1793 | // |
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| 1794 | // if ( p_GetComp(p, r) != comp ) |
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| 1795 | // continue; |
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| 1796 | // |
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| 1797 | // const unsigned long p_sev = p_GetShortExpVector(p, r); // to be stored in m_hash!!! |
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| 1798 | |
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[495328] | 1799 | // looking for an appropriate diviser p = L[k]... |
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[5cecde] | 1800 | CReducersHash::const_iterator it = m_hash.find(comp); // same module component |
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[495328] | 1801 | |
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| 1802 | if( it == m_hash.end() ) |
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| 1803 | return NULL; |
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| 1804 | |
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[5cecde] | 1805 | assume( m_L != NULL ); |
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| 1806 | |
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| 1807 | const TReducers& reducers = it->second; |
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| 1808 | |
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[e98c64] | 1809 | const BOOLEAN to_check = (syz_checker.IsNonempty()); // __TAILREDSYZ__ && |
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[495328] | 1810 | |
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[5cecde] | 1811 | const poly q = p_New(r); pNext(q) = NULL; |
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| 1812 | |
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| 1813 | if( __DEBUG__ ) |
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| 1814 | p_SetCoeff0(q, 0, r); // for printing q |
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| 1815 | |
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[495328] | 1816 | for(TReducers::const_iterator vit = reducers.begin(); vit != reducers.end(); vit++ ) |
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| 1817 | { |
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| 1818 | const poly p = (*vit)->m_lt; |
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| 1819 | |
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| 1820 | assume( p_GetComp(p, r) == comp ); |
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| 1821 | |
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| 1822 | const int k = (*vit)->m_label; |
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| 1823 | |
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| 1824 | assume( L->m[k] == p ); |
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| 1825 | |
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| 1826 | const unsigned long p_sev = (*vit)->m_sev; |
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| 1827 | |
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| 1828 | assume( p_sev == p_GetShortExpVector(p, r) ); |
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| 1829 | |
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| 1830 | if( !p_LmShortDivisibleByNoComp(p, p_sev, product, not_sev, r) ) |
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| 1831 | continue; |
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| 1832 | |
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| 1833 | // // ... which divides the product, looking for the _1st_ appropriate one! |
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| 1834 | // if( !p_LmDivisibleByNoComp(p, product, r) ) // included inside p_LmShortDivisibleBy! |
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| 1835 | // continue; |
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| 1836 | |
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| 1837 | p_ExpVectorDiff(q, product, p, r); // (LM(product) / LM(L[k])) |
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| 1838 | p_SetComp(q, k + 1, r); |
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| 1839 | p_Setm(q, r); |
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| 1840 | |
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| 1841 | // cannot allow something like: a*gen(i) - a*gen(i) |
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| 1842 | if (syzterm != NULL && (k == c)) |
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| 1843 | if (p_ExpVectorEqual(syzterm, q, r)) |
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| 1844 | { |
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| 1845 | if( __DEBUG__ ) |
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| 1846 | { |
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| 1847 | Print("_FindReducer::Test SYZTERM: q == syzterm !:((, syzterm is: "); |
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| 1848 | dPrint(syzterm, r, r, 1); |
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| 1849 | } |
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| 1850 | |
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| 1851 | continue; |
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| 1852 | } |
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| 1853 | |
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| 1854 | // while the complement (the fraction) is not reducible by leading syzygies |
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[5cecde] | 1855 | if( to_check && syz_checker.IsDivisible(q) ) |
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[495328] | 1856 | { |
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[5cecde] | 1857 | if( __DEBUG__ ) |
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[495328] | 1858 | { |
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[5cecde] | 1859 | PrintS("_FindReducer::Test LS: q is divisible by LS[?] !:((: "); |
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[495328] | 1860 | } |
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[5cecde] | 1861 | |
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| 1862 | continue; |
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[495328] | 1863 | } |
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| 1864 | |
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| 1865 | p_SetCoeff0(q, n_Neg( n_Div( p_GetCoeff(product, r), p_GetCoeff(p, r), r), r), r); |
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| 1866 | return q; |
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| 1867 | } |
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[9936d6] | 1868 | */ |
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[495328] | 1869 | |
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[5cecde] | 1870 | p_LmFree(q, r); |
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[495328] | 1871 | |
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| 1872 | return NULL; |
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| 1873 | } |
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| 1874 | |
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| 1875 | |
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| 1876 | |
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[5cecde] | 1877 | CLCM::CLCM(const ideal& L, const SchreyerSyzygyComputationFlags& flags): |
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| 1878 | SchreyerSyzygyComputationFlags(flags), std::vector<bool>(), |
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| 1879 | m_compute(false), m_N(rVar(flags.m_rBaseRing)) |
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| 1880 | { |
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| 1881 | const ring& R = m_rBaseRing; |
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| 1882 | assume( flags.m_rBaseRing == R ); |
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| 1883 | assume( R != NULL ); |
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[495328] | 1884 | |
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[5cecde] | 1885 | assume( L != NULL ); |
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[495328] | 1886 | |
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[5cecde] | 1887 | if( __TAILREDSYZ__ && !__HYBRIDNF__ && (L != NULL)) |
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| 1888 | { |
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| 1889 | const int l = IDELEMS(L); |
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[495328] | 1890 | |
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[5cecde] | 1891 | assume( l > 0 ); |
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[495328] | 1892 | |
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[5cecde] | 1893 | resize(l, false); |
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[495328] | 1894 | |
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[5cecde] | 1895 | for( int k = l - 1; k >= 0; k-- ) |
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[495328] | 1896 | { |
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[5cecde] | 1897 | const poly a = L->m[k]; assume( a != NULL ); |
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[495328] | 1898 | |
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[5cecde] | 1899 | for (unsigned int j = m_N; j > 0; j--) |
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| 1900 | if ( !(*this)[j] ) |
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| 1901 | (*this)[j] = (p_GetExp(a, j, R) > 0); |
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[495328] | 1902 | } |
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| 1903 | |
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[5cecde] | 1904 | m_compute = true; |
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| 1905 | } |
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| 1906 | } |
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[495328] | 1907 | |
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| 1908 | |
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[5cecde] | 1909 | bool CLCM::Check(const poly m) const |
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| 1910 | { |
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| 1911 | assume( m != NULL ); |
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| 1912 | if( m_compute && (m != NULL)) |
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| 1913 | { |
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| 1914 | const ring& R = m_rBaseRing; |
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[495328] | 1915 | |
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[5cecde] | 1916 | assume( __TAILREDSYZ__ && !__HYBRIDNF__ ); |
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[495328] | 1917 | |
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[5cecde] | 1918 | for (unsigned int j = m_N; j > 0; j--) |
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| 1919 | if ( (*this)[j] ) |
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| 1920 | if(p_GetExp(m, j, R) > 0) |
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| 1921 | return true; |
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[495328] | 1922 | |
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[5cecde] | 1923 | return false; |
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[495328] | 1924 | |
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[5cecde] | 1925 | } else return true; |
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| 1926 | } |
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[495328] | 1927 | |
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| 1928 | |
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| 1929 | |
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[ff7993] | 1930 | |
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| 1931 | END_NAMESPACE END_NAMESPACE_SINGULARXX |
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| 1932 | |
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| 1933 | |
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| 1934 | // Vi-modeline: vim: filetype=c:syntax:shiftwidth=2:tabstop=8:textwidth=0:expandtab |
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