[35aab3] | 1 | /**************************************** |
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| 2 | * Computer Algebra System SINGULAR * |
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| 3 | ****************************************/ |
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| 4 | /*************************************************************** |
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| 5 | * File: fast_maps.cc |
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| 6 | * Purpose: implementation of fast maps |
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| 7 | * Author: obachman (Olaf Bachmann) |
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| 8 | * Created: 02/01 |
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[c985c5] | 9 | * Version: $Id: fast_maps.cc,v 1.6 2007-09-17 08:33:17 Singular Exp $ |
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[35aab3] | 10 | *******************************************************************/ |
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| 11 | #include "mod2.h" |
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| 12 | #include <omalloc.h> |
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| 13 | #include "p_polys.h" |
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| 14 | #include "prCopy.h" |
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| 15 | #include "ideals.h" |
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| 16 | #include "ring.h" |
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| 17 | #include "febase.h" |
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| 18 | #include "fast_maps.h" |
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| 19 | |
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| 20 | // define if you want to use special dest_ring |
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| 21 | #define HAVE_DEST_R 1 |
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| 22 | // define if you want to use special src_ring |
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| 23 | #define HAVE_SRC_R 1 |
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| 24 | // define if you want to use optimization step |
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| 25 | #define HAVE_MAP_OPTIMIZE 1 |
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| 26 | |
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| 27 | /******************************************************************************* |
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| 28 | ** |
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| 29 | *F maMaxExp . . . . . . . . returns bound on maximal exponent of result of map |
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| 30 | */ |
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| 31 | // return maximal monomial if max_map_monomials are substituted into pi_m |
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| 32 | static poly maGetMaxExpP(poly* max_map_monomials, |
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| 33 | int n_max_map_monomials, ring map_r, |
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| 34 | poly pi_m, ring pi_r) |
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| 35 | { |
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[6aef6f2] | 36 | int n = si_min(pi_r->N, n_max_map_monomials); |
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[35aab3] | 37 | int i, j; |
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[c985c5] | 38 | unsigned long e_i, e_j; |
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[35aab3] | 39 | poly m_i, map_j = p_Init(map_r); |
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| 40 | |
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| 41 | for (i=1; i <= n; i++) |
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| 42 | { |
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| 43 | e_i = p_GetExp(pi_m, i, pi_r); |
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[c985c5] | 44 | if (e_i==0) e_i=1; |
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[35aab3] | 45 | m_i = max_map_monomials[i-1]; |
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[c985c5] | 46 | if (m_i != NULL && ! p_IsConstantComp(m_i, map_r)) |
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[35aab3] | 47 | { |
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| 48 | for (j = 1; j<= map_r->N; j++) |
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| 49 | { |
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| 50 | e_j = p_GetExp(m_i, j, map_r); |
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[c985c5] | 51 | if (e_j == 0) e_j=1; |
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| 52 | p_AddExp(map_j, j, e_j*e_i, map_r); |
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[35aab3] | 53 | } |
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| 54 | } |
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| 55 | } |
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| 56 | return map_j; |
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| 57 | } |
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| 58 | |
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| 59 | // returns maximal exponent if map_id is applied to pi_id |
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[c985c5] | 60 | static unsigned long maGetMaxExp(ideal pi_id, ring pi_r, ideal map_id, ring map_r) |
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[35aab3] | 61 | { |
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[c985c5] | 62 | unsigned long max=0; |
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[35aab3] | 63 | poly* max_map_monomials = (poly*) omAlloc(IDELEMS(map_id)*sizeof(poly)); |
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| 64 | poly max_pi_i, max_map_i; |
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| 65 | |
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| 66 | int i, j; |
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| 67 | for (i=0; i<IDELEMS(map_id); i++) |
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| 68 | { |
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| 69 | max_map_monomials[i] = p_GetMaxExpP(map_id->m[i], map_r); |
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| 70 | } |
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| 71 | |
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| 72 | for (i=0; i<IDELEMS(pi_id); i++) |
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| 73 | { |
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| 74 | max_pi_i = p_GetMaxExpP(pi_id->m[i], pi_r); |
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| 75 | max_map_i = maGetMaxExpP(max_map_monomials, IDELEMS(map_id), map_r, |
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| 76 | max_pi_i, pi_r); |
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[c985c5] | 77 | unsigned long temp = p_GetMaxExp(max_map_i, map_r); |
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| 78 | if (temp > max){ max=temp; } |
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[35aab3] | 79 | |
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| 80 | p_LmFree(max_pi_i, pi_r); |
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| 81 | p_LmFree(max_map_i, map_r); |
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| 82 | } |
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| 83 | return max; |
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| 84 | } |
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| 85 | |
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| 86 | |
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| 87 | /******************************************************************************* |
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| 88 | ** |
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| 89 | *F debugging stuff |
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| 90 | */ |
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| 91 | #ifndef NDEBUG |
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| 92 | void maMonomial_Out(mapoly monomial, ring src_r, ring dest_r) |
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| 93 | { |
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| 94 | p_wrp(monomial->src, src_r); |
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| 95 | printf(" ref:%d", monomial->ref); |
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| 96 | if (dest_r != NULL) |
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| 97 | { |
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| 98 | printf(" dest:"); |
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| 99 | p_wrp(monomial->dest, dest_r); |
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| 100 | } |
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[7447d8] | 101 | if (monomial->f1!=NULL) { printf(" f1:%x", (long)monomial->f1->src); |
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[35aab3] | 102 | // p_wrp(monomial->f1->src, src_r); |
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| 103 | } |
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[7447d8] | 104 | if (monomial->f2!=NULL) { printf(" f2:%x",(long)monomial->f2->src); |
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[35aab3] | 105 | // p_wrp(monomial->f2->src, src_r); |
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| 106 | } |
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| 107 | printf("\n"); |
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| 108 | fflush(stdout); |
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| 109 | } |
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| 110 | |
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| 111 | void maPoly_Out(mapoly mpoly, ring src_r, ring dest_r) |
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| 112 | { |
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| 113 | while (mpoly != NULL) |
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| 114 | { |
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| 115 | maMonomial_Out(mpoly, src_r, dest_r); |
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| 116 | mpoly = mpoly->next; |
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| 117 | } |
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| 118 | } |
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| 119 | #endif |
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| 120 | |
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| 121 | /******************************************************************************* |
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| 122 | ** |
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| 123 | *F mapolyCreate . . . . . . . . . . . . . . . Creates mapoly |
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| 124 | */ |
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| 125 | static omBin mapolyBin = omGetSpecBin(sizeof(mapoly_s)); |
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| 126 | static omBin macoeffBin = omGetSpecBin(sizeof(macoeff_s)); |
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| 127 | |
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| 128 | mapoly maMonomial_Create(poly p, ring r_p, sBucket_pt bucket) |
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| 129 | { |
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| 130 | mapoly mp = (mapoly) omAlloc0Bin(mapolyBin); |
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| 131 | //p_wrp(p,r_p);printf(" (%x) created\n",mp); |
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| 132 | mp->src = p; |
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| 133 | p->next = NULL; |
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| 134 | |
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| 135 | if (bucket != NULL) |
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| 136 | { |
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| 137 | mp->coeff = (macoeff) omAlloc0Bin(macoeffBin); |
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| 138 | mp->coeff->bucket = bucket; |
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| 139 | mp->coeff->n = pGetCoeff(p); |
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| 140 | } |
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| 141 | mp->ref = 1; |
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| 142 | return mp; |
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| 143 | } |
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| 144 | |
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| 145 | void maMonomial_Destroy(mapoly mp, ring src_r, ring dest_r) |
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| 146 | { |
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| 147 | if (mp != NULL) |
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| 148 | { |
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| 149 | p_LmFree(mp->src, src_r); |
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| 150 | if (mp->coeff != NULL) |
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| 151 | { |
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| 152 | macoeff coeff, next = mp->coeff; |
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| 153 | do |
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| 154 | { |
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| 155 | coeff = next; |
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| 156 | next = coeff->next; |
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| 157 | omFreeBin(coeff, macoeffBin); |
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| 158 | } |
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| 159 | while (next != NULL); |
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| 160 | if (mp->dest != NULL) |
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| 161 | { |
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| 162 | assume(dest_r != NULL); |
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| 163 | p_Delete(&(mp->dest), dest_r); |
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| 164 | } |
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| 165 | } |
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| 166 | } |
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| 167 | omFreeBin(mp, mapolyBin); |
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| 168 | } |
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| 169 | |
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| 170 | /******************************************************************************* |
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| 171 | ** |
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| 172 | *F maPoly_InsertMonomial . . . . . . . . .insertion of a monomial into mapoly |
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| 173 | */ |
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| 174 | mapoly maPoly_InsertMonomial(mapoly &into, mapoly what, ring src_r) |
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| 175 | { |
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| 176 | if (into == NULL) |
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| 177 | { |
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| 178 | into = what; |
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| 179 | return what; |
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| 180 | } |
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| 181 | |
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| 182 | mapoly iter = into; |
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| 183 | mapoly prev = NULL; |
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| 184 | |
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| 185 | Top: |
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| 186 | p_LmCmpAction(iter->src, what->src, src_r, goto Equal, goto Greater, goto Smaller); |
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| 187 | |
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| 188 | Greater: |
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| 189 | if (iter->next == NULL) |
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| 190 | { |
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| 191 | iter->next = what; |
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| 192 | return what; |
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| 193 | } |
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| 194 | prev = iter; |
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| 195 | iter = iter->next; |
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| 196 | goto Top; |
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| 197 | |
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| 198 | Smaller: |
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| 199 | if (prev == NULL) |
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| 200 | { |
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| 201 | into = what; |
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| 202 | what->next = iter; |
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| 203 | return what; |
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| 204 | } |
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| 205 | prev->next = what; |
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| 206 | what->next = iter; |
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| 207 | return what; |
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| 208 | |
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| 209 | Equal: |
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| 210 | iter->ref += what->ref; |
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| 211 | macoeff coeff = what->coeff; |
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| 212 | if (coeff != NULL) |
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| 213 | { |
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| 214 | while (coeff->next != NULL) coeff = coeff->next; |
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| 215 | coeff->next = iter->coeff; |
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| 216 | iter->coeff = what->coeff; |
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| 217 | what->coeff = NULL; |
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| 218 | } |
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| 219 | maMonomial_Free(what, src_r); |
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| 220 | return iter; |
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| 221 | } |
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| 222 | |
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| 223 | mapoly maPoly_InsertMonomial(mapoly &into, poly p, ring src_r, sBucket_pt bucket) |
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| 224 | { |
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| 225 | return maPoly_InsertMonomial(into, maMonomial_Create(p, src_r, bucket), src_r); |
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| 226 | } |
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| 227 | |
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| 228 | static void maPoly_InsertPoly(mapoly &into, poly what, ring src_r, sBucket_pt bucket) |
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| 229 | { |
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| 230 | poly next; |
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| 231 | |
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| 232 | while (what != NULL) |
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| 233 | { |
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| 234 | next = what->next; |
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| 235 | maPoly_InsertMonomial(into, what, src_r, bucket); |
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| 236 | what = next; |
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| 237 | } |
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| 238 | } |
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| 239 | |
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| 240 | /******************************************************************************* |
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| 241 | ** |
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| 242 | *F maMap_Create . . . . . . . . . . . . . . . . . . . . create stuff |
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| 243 | */ |
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| 244 | |
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| 245 | void maMap_CreatePolyIdeal(ideal map_id, ring map_r, ring src_r, ring dest_r, |
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| 246 | mapoly &mp, maideal &mideal) |
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| 247 | { |
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| 248 | mideal = (maideal) omAlloc0(sizeof(maideal_s)); |
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| 249 | mideal->n = IDELEMS(map_id); |
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| 250 | mideal->buckets = (sBucket_pt*) omAlloc0(mideal->n*sizeof(sBucket_pt)); |
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| 251 | int i; |
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| 252 | mp = NULL; |
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| 253 | |
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| 254 | for (i=0; i<mideal->n; i++) |
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| 255 | { |
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| 256 | if (map_id->m[i] != NULL) |
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| 257 | { |
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| 258 | mideal->buckets[i] = sBucketCreate(dest_r); |
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| 259 | maPoly_InsertPoly(mp, |
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| 260 | #ifdef PDEBUG |
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| 261 | prShallowCopyR(map_id->m[i], map_r, src_r), |
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| 262 | #else |
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| 263 | prShallowCopyR_NoSort(map_id->m[i], map_r, src_r), |
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| 264 | #endif |
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| 265 | src_r, |
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| 266 | mideal->buckets[i]); |
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| 267 | } |
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| 268 | } |
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| 269 | } |
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| 270 | |
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| 271 | |
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| 272 | void maMap_CreateRings(ideal map_id, ring map_r, |
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| 273 | ideal image_id, ring image_r, |
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| 274 | ring &src_r, ring &dest_r, BOOLEAN &simple) |
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| 275 | { |
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| 276 | #if HAVE_SRC_R > 0 |
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| 277 | int* weights = (int*) omAlloc0(map_r->N*sizeof(int)); |
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| 278 | int i; |
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[6aef6f2] | 279 | int n = si_min(map_r->N, IDELEMS(image_id)); |
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[35aab3] | 280 | |
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| 281 | for (i=0; i<n; i++) |
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| 282 | { |
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[911a7a] | 283 | weights[i] = pLength(image_id->m[i])+1; |
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[35aab3] | 284 | } |
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| 285 | src_r = rModifyRing_Wp(map_r, weights); |
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| 286 | #else |
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| 287 | src_r = map_r; |
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| 288 | #endif |
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| 289 | |
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| 290 | #if HAVE_DEST_R > 0 |
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[c985c5] | 291 | unsigned long maxExp = maGetMaxExp(map_id, map_r, image_id, image_r); |
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[35aab3] | 292 | if (maxExp <= 1) maxExp = 2; |
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[c985c5] | 293 | else if (maxExp > (unsigned long) image_r->bitmask) |
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| 294 | maxExp = (unsigned long) image_r->bitmask; |
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[35aab3] | 295 | dest_r = rModifyRing_Simple(image_r, TRUE, TRUE, maxExp, simple); |
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| 296 | #else |
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| 297 | dest_r = image_r; |
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| 298 | #endif |
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| 299 | } |
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| 300 | |
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| 301 | static void maMap_KillRings(ring map_r, ring image_r, ring src_r, ring dest_r) |
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| 302 | { |
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| 303 | if (map_r != src_r) |
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| 304 | rKillModified_Wp_Ring(src_r); |
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| 305 | if (image_r != dest_r) |
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| 306 | rKillModifiedRing_Simple(dest_r); |
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| 307 | } |
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| 308 | |
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| 309 | /******************************************************************************* |
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| 310 | ** |
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| 311 | *F misc . . . . . . . . . . . . . . . . . . . . . . . . . . . . misc stuff |
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| 312 | */ |
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| 313 | |
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| 314 | ideal maIdeal_2_Ideal(maideal m_id, ring dest_r) |
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| 315 | { |
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| 316 | ideal res = idInit(m_id->n, 1); |
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| 317 | int l; |
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| 318 | |
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| 319 | for (int i= 0; i < m_id->n; i++) |
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| 320 | { |
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| 321 | if (m_id->buckets[i]!=NULL) |
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| 322 | sBucketDestroyAdd(m_id->buckets[i], &(res->m[i]), &l); |
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| 323 | } |
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| 324 | omFree(m_id); |
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| 325 | return res; |
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| 326 | } |
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| 327 | |
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| 328 | void maPoly_GetLength(mapoly mp, int &length) |
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| 329 | { |
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| 330 | length = 0; |
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| 331 | while (mp != NULL) |
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| 332 | { |
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| 333 | length++; |
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| 334 | mp = mp->next; |
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| 335 | } |
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| 336 | } |
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| 337 | |
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| 338 | |
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| 339 | /******************************************************************************* |
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| 340 | ** |
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| 341 | *F fast_map . . . . . . . . . . . . . . . . . . . . . . . . . .the real thing |
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| 342 | */ |
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| 343 | |
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| 344 | ideal fast_map(ideal map_id, ring map_r, ideal image_id, ring image_r) |
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| 345 | { |
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| 346 | ring src_r, dest_r; |
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| 347 | ideal dest_id, res_id; |
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| 348 | int length = 0; |
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| 349 | BOOLEAN no_sort; |
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| 350 | |
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| 351 | // construct rings we work in: |
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| 352 | // src_r: Wp with Weights set to length of poly in image_id |
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| 353 | // dest_r: Simple ring without degree ordering and short exponents |
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| 354 | maMap_CreateRings(map_id, map_r, image_id, image_r, src_r, dest_r, no_sort); |
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| 355 | |
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| 356 | // construct dest_id |
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| 357 | if (dest_r != image_r) |
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| 358 | dest_id = idrShallowCopyR(image_id, image_r, dest_r); |
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| 359 | else |
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| 360 | dest_id = image_id; |
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| 361 | |
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| 362 | // construct mpoly and mideal |
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| 363 | mapoly mp; |
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| 364 | maideal mideal; |
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| 365 | maMap_CreatePolyIdeal(map_id, map_r, src_r, dest_r, mp, mideal); |
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| 366 | |
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| 367 | if (TEST_OPT_PROT) |
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| 368 | { |
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| 369 | maPoly_GetLength(mp, length); |
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[17dbb0] | 370 | Print("map[%ld:%ld]{%d:", dest_r->bitmask, dest_r->ExpL_Size, length); |
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[35aab3] | 371 | } |
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| 372 | |
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| 373 | // do the optimization step |
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| 374 | #if HAVE_MAP_OPTIMIZE > 0 |
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| 375 | if (mp!=NULL) maPoly_Optimize(mp, src_r); |
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| 376 | #endif |
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| 377 | if (TEST_OPT_PROT) |
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| 378 | { |
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| 379 | maPoly_GetLength(mp, length); |
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| 380 | Print("%d}", length); |
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| 381 | } |
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| 382 | |
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| 383 | // do the actual evaluation |
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| 384 | maPoly_Eval(mp, src_r, dest_id, dest_r, length); |
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| 385 | if (TEST_OPT_PROT) Print("."); |
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| 386 | |
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| 387 | // collect the results back into an ideal |
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| 388 | ideal res_dest_id = maIdeal_2_Ideal(mideal, dest_r); |
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| 389 | if (TEST_OPT_PROT) Print("."); |
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| 390 | |
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| 391 | // convert result back to image_r |
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| 392 | ideal res_image_id; |
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| 393 | if (dest_r != image_r) |
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| 394 | { |
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| 395 | //if (no_sort) see Old/m134si.tst |
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| 396 | // res_image_id = idrShallowCopyR_NoSort(res_dest_id, dest_r, image_r); |
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| 397 | //else |
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| 398 | res_image_id = idrShallowCopyR(res_dest_id, dest_r, image_r); |
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| 399 | id_ShallowDelete(&res_dest_id, dest_r); |
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| 400 | } |
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| 401 | else |
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| 402 | res_image_id = res_dest_id; |
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| 403 | |
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| 404 | if (TEST_OPT_PROT) Print("."); |
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| 405 | // clean-up the rings |
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| 406 | maMap_KillRings(map_r, image_r, src_r, dest_r); |
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| 407 | |
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| 408 | if (TEST_OPT_PROT) |
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| 409 | Print("\n"); |
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| 410 | |
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[6aef6f2] | 411 | idTest(res_image_id); |
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[35aab3] | 412 | return res_image_id; |
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| 413 | } |
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| 414 | |
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| 415 | |
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| 416 | /********************************************************************** |
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| 417 | * Evaluation stuff * |
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| 418 | **********************************************************************/ |
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| 419 | |
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| 420 | // substitute p everywhere the monomial occours, |
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| 421 | // return the number of substitutions |
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| 422 | static int maPoly_Substitute(macoeff c, poly p, ring dest_r) |
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| 423 | { |
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| 424 | // substitute the monomial: go through macoeff |
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| 425 | int len=pLength(p); |
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| 426 | int done=0; |
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| 427 | while (c!=NULL) |
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| 428 | { |
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| 429 | done++; |
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| 430 | poly t=pp_Mult_nn(p,c->n,dest_r); |
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| 431 | sBucket_Add_p(c->bucket, t, len); |
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| 432 | c=c->next; |
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| 433 | } |
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| 434 | return done; |
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| 435 | } |
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| 436 | |
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| 437 | static poly maPoly_EvalMon(poly src, ring src_r, poly* dest_id, ring dest_r) |
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| 438 | { |
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| 439 | int i; |
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| 440 | int e; |
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| 441 | poly p=NULL; |
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| 442 | poly pp; |
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| 443 | for(i=1;i<=src_r->N;i++) |
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| 444 | { |
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| 445 | e=p_GetExp(src,i,src_r); |
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| 446 | if (e>0) |
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| 447 | { |
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| 448 | pp=dest_id[i-1]; |
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| 449 | if (pp==NULL) |
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| 450 | { |
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| 451 | p_Delete(&p,dest_r); |
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| 452 | return NULL; |
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| 453 | } |
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| 454 | if ((p==NULL) /* && (e>0)*/) |
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| 455 | { |
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| 456 | p=p_Copy(pp /*dest_id[i-1]*/,dest_r); |
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| 457 | e--; |
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| 458 | } |
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| 459 | while (e>0) |
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| 460 | { |
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| 461 | p=p_Mult_q(p,p_Copy(pp /*dest_id[i-1]*/,dest_r),dest_r); |
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| 462 | e--; |
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| 463 | } |
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| 464 | } |
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| 465 | } |
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| 466 | if (p==NULL) p=p_ISet(1,dest_r); |
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| 467 | return p; |
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| 468 | } |
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| 469 | |
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| 470 | void maPoly_Eval(mapoly root, ring src_r, ideal dest_id, ring dest_r, int total_cost) |
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| 471 | { |
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| 472 | // invert the list rooted at root: |
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| 473 | if ((root!=NULL) && (root->next!=NULL)) |
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| 474 | { |
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| 475 | mapoly q=root->next; |
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| 476 | mapoly qn; |
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| 477 | root->next=NULL; |
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| 478 | do |
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| 479 | { |
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| 480 | qn=q->next; |
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| 481 | q->next=root; |
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| 482 | root=q; |
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| 483 | q=qn; |
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| 484 | } |
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| 485 | while (qn !=NULL); |
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| 486 | } |
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| 487 | |
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| 488 | total_cost /= 10; |
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| 489 | int next_print_cost = total_cost; |
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| 490 | |
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| 491 | // the evaluation ----------------------------------------- |
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| 492 | mapoly p=root; |
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| 493 | int cost = 0; |
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| 494 | |
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| 495 | while (p!=NULL) |
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| 496 | { |
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| 497 | // look at each mapoly: compute its value in ->dest |
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| 498 | assume (p->dest==NULL); |
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| 499 | { |
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| 500 | if ((p->f1!=NULL)&&(p->f2!=NULL)) |
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| 501 | { |
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| 502 | #if 0 |
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| 503 | printf("found prod:"); |
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| 504 | p_wrp(p->src,src_r);printf("="); |
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| 505 | p_wrp(p->f1->src,src_r);printf(" * "); |
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| 506 | p_wrp(p->f2->src,src_r);printf("\n"); |
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| 507 | #endif |
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| 508 | poly f1=p->f1->dest; |
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| 509 | poly f2=p->f2->dest; |
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| 510 | if (p->f1->ref>0) f1=p_Copy(f1,dest_r); |
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| 511 | else |
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| 512 | { |
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| 513 | // we own p->f1->dest now (in f1) |
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| 514 | p->f1->dest=NULL; |
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| 515 | } |
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| 516 | if (p->f2->ref>0) f2=p_Copy(f2,dest_r); |
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| 517 | else |
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| 518 | { |
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| 519 | // we own p->f2->dest now (in f2) |
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| 520 | p->f2->dest=NULL; |
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| 521 | } |
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| 522 | maMonomial_Free(p->f1,src_r, dest_r); |
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| 523 | maMonomial_Free(p->f2,src_r, dest_r); |
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| 524 | p->dest=p_Mult_q(f1,f2,dest_r); |
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| 525 | } /* factors : 2 */ |
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| 526 | else |
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| 527 | { |
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| 528 | //printf("compute "); p_wrp(p->src,src_r);printf("\n"); |
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| 529 | assume((p->f1==NULL) && (p->f2==NULL)); |
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| 530 | //if(p->f1!=NULL) { printf(" but f1="); p_wrp(p->f1->src,src_r);printf("\n"); } |
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| 531 | //if(p->f2!=NULL) { printf(" but f2="); p_wrp(p->f2->src,src_r);printf("\n"); } |
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| 532 | // no factorization provided, use the classical method: |
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| 533 | p->dest=maPoly_EvalMon(p->src,src_r,dest_id->m,dest_r); |
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| 534 | //p_wrp(p->dest, dest_r); printf(" is p->dest\n"); |
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| 535 | } |
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| 536 | } /* p->dest==NULL */ |
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| 537 | // substitute the monomial: go through macoeff |
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| 538 | p->ref -= maPoly_Substitute(p->coeff, p->dest, dest_r); |
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| 539 | //printf("subst done\n"); |
---|
| 540 | if (total_cost) |
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| 541 | { |
---|
| 542 | assume(TEST_OPT_PROT); |
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| 543 | cost++; |
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| 544 | if (cost > next_print_cost) |
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| 545 | { |
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| 546 | Print("-"); |
---|
| 547 | next_print_cost += total_cost; |
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| 548 | } |
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| 549 | } |
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| 550 | |
---|
| 551 | mapoly pp=p; |
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| 552 | p=p->next; |
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| 553 | //p_wrp(pp->src, src_r); |
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| 554 | if (pp->ref<=0) |
---|
| 555 | { |
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| 556 | //printf(" (%x) killed\n",pp); |
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| 557 | maMonomial_Destroy(pp, src_r, dest_r); |
---|
| 558 | } |
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| 559 | //else |
---|
| 560 | // printf(" (%x) not killed, ref=%d\n",pp,pp->ref); |
---|
| 561 | } |
---|
| 562 | } |
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| 563 | |
---|
| 564 | |
---|
| 565 | /******************************************************************************* |
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| 566 | ** |
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| 567 | *F maEggt . . . . . . . . . . . . . . . . . . . . . . . . returns extended ggt |
---|
| 568 | */ |
---|
| 569 | // return NULL if deg(ggt(m1, m2)) < 2 |
---|
| 570 | // else return m = ggT(m1, m2) and q1, q2 such that m1 = q1*m m2 = q2*m |
---|
| 571 | static poly maEggT(const poly m1, const poly m2, poly &q1, poly &q2,const ring r) |
---|
| 572 | { |
---|
| 573 | |
---|
| 574 | int i; |
---|
| 575 | int dg = 0; |
---|
| 576 | poly ggt = NULL; |
---|
| 577 | q1 = p_Init(r); |
---|
| 578 | q2 = p_Init(r); |
---|
| 579 | ggt=p_Init(r); |
---|
| 580 | |
---|
| 581 | for (i=1;i<=r->N;i++) { |
---|
[c985c5] | 582 | unsigned long e1 = p_GetExp(m1, i, r); |
---|
| 583 | unsigned long e2 = p_GetExp(m2, i, r); |
---|
| 584 | if (e1 > 0 && e2 > 0) |
---|
| 585 | { |
---|
| 586 | unsigned long em = (e1 > e2 ? e2 : e1); |
---|
[35aab3] | 587 | dg += em; |
---|
| 588 | p_SetExp(ggt, i, em, r); |
---|
| 589 | p_SetExp(q1, i, e1 - em, r); |
---|
| 590 | p_SetExp(q2, i, e2 - em, r); |
---|
| 591 | } |
---|
[c985c5] | 592 | else |
---|
| 593 | { |
---|
[35aab3] | 594 | p_SetExp(q1, i, e1, r); |
---|
| 595 | p_SetExp(q2, i, e2, r); |
---|
| 596 | } |
---|
| 597 | } |
---|
| 598 | if (dg>1) |
---|
| 599 | { |
---|
| 600 | p_Setm(ggt, r); |
---|
| 601 | p_Setm(q1, r); |
---|
| 602 | p_Setm(q2, r); |
---|
| 603 | } |
---|
[c985c5] | 604 | else |
---|
| 605 | { |
---|
[35aab3] | 606 | p_LmFree(ggt, r); |
---|
| 607 | p_LmFree(q1, r); |
---|
| 608 | p_LmFree(q2, r); |
---|
| 609 | ggt = NULL; |
---|
| 610 | } |
---|
| 611 | return ggt; |
---|
| 612 | } |
---|
| 613 | |
---|
| 614 | /******************************************************************** |
---|
| 615 | ** * |
---|
| 616 | * maFindBestggT * |
---|
| 617 | * finds ggT with the highest cost * |
---|
| 618 | *******************************************************************/ |
---|
| 619 | |
---|
| 620 | static mapoly maFindBestggT(mapoly mp, mapoly & choice, mapoly & fp, mapoly & fq,const ring r) |
---|
| 621 | { |
---|
| 622 | int ggt_deg = 0; |
---|
| 623 | poly p = mp->src; |
---|
| 624 | mapoly iter = choice; |
---|
| 625 | poly ggT = NULL; |
---|
| 626 | fp = NULL; |
---|
| 627 | fq = NULL; |
---|
| 628 | poly fp_p=NULL; |
---|
| 629 | poly fq_p=NULL; |
---|
| 630 | choice=NULL; |
---|
| 631 | while ((iter != NULL) && (pDeg(iter->src, r) > ggt_deg)) |
---|
| 632 | { |
---|
| 633 | // maMonomial_Out(iter, r, NULL); |
---|
| 634 | poly q1, q2, q; |
---|
| 635 | |
---|
| 636 | q = maEggT(p, iter->src, q1, q2,r); |
---|
| 637 | if (q != NULL) |
---|
| 638 | { |
---|
| 639 | assume((q1!=NULL)&&(q2!=NULL)); |
---|
| 640 | if (pDeg(q,r) > ggt_deg) |
---|
| 641 | { |
---|
| 642 | choice=iter; |
---|
| 643 | if (ggT != NULL) |
---|
| 644 | { |
---|
| 645 | p_LmFree(ggT, r); |
---|
| 646 | p_LmFree(fp_p, r); |
---|
| 647 | p_LmFree(fq_p, r); |
---|
| 648 | |
---|
| 649 | } |
---|
| 650 | ggt_deg = pDeg(q, r); |
---|
| 651 | ggT = q; |
---|
| 652 | fp_p = q1; |
---|
| 653 | fq_p = q2; |
---|
| 654 | } |
---|
| 655 | else |
---|
| 656 | { |
---|
| 657 | p_LmFree(q, r); |
---|
| 658 | p_LmFree(q1, r); |
---|
| 659 | p_LmFree(q2, r); |
---|
| 660 | } |
---|
| 661 | } |
---|
| 662 | iter=iter->next; |
---|
| 663 | } |
---|
[c985c5] | 664 | if(ggT!=NULL) |
---|
| 665 | { |
---|
[35aab3] | 666 | int dq =pTotaldegree(fq_p,r); |
---|
[c985c5] | 667 | if (dq!=0) |
---|
| 668 | { |
---|
[35aab3] | 669 | fq=maPoly_InsertMonomial(mp, fq_p, r, NULL); |
---|
| 670 | fp=maPoly_InsertMonomial(mp, fp_p, r, NULL); |
---|
| 671 | return maPoly_InsertMonomial(mp, ggT, r, NULL); |
---|
| 672 | } |
---|
[c985c5] | 673 | else |
---|
| 674 | { |
---|
[35aab3] | 675 | fq=NULL; |
---|
| 676 | p_LmFree(fq_p, r); |
---|
| 677 | p_LmFree(ggT, r); |
---|
| 678 | fp=maPoly_InsertMonomial(mp, fp_p, r, NULL); |
---|
| 679 | choice->ref++; |
---|
| 680 | return choice; |
---|
| 681 | } |
---|
| 682 | } |
---|
[c985c5] | 683 | else |
---|
| 684 | { |
---|
[35aab3] | 685 | return NULL; |
---|
| 686 | } |
---|
| 687 | } |
---|
| 688 | |
---|
| 689 | /******************************************************************** |
---|
| 690 | ** * |
---|
| 691 | * maPoly_Optimize * |
---|
| 692 | * adds and integrates subexpressions * |
---|
| 693 | *******************************************************************/ |
---|
| 694 | |
---|
| 695 | void maPoly_Optimize(mapoly mpoly, ring src_r){ |
---|
| 696 | assume(mpoly!=NULL && mpoly->src!=NULL); |
---|
| 697 | mapoly iter = mpoly; |
---|
| 698 | mapoly choice; |
---|
| 699 | mapoly ggT=NULL; |
---|
| 700 | mapoly fp=NULL; |
---|
| 701 | mapoly fq=NULL; |
---|
[c985c5] | 702 | while (iter->next!=NULL) |
---|
| 703 | { |
---|
[35aab3] | 704 | choice=iter->next; |
---|
[c985c5] | 705 | if ((iter->f1==NULL)) |
---|
| 706 | { |
---|
[35aab3] | 707 | ggT=maFindBestggT(iter, choice, fp, fq,src_r); |
---|
[c985c5] | 708 | if (choice!=NULL) |
---|
| 709 | { |
---|
[35aab3] | 710 | iter->f1=fp; |
---|
| 711 | iter->f2=ggT; |
---|
[c985c5] | 712 | if (fq!=NULL) |
---|
| 713 | { |
---|
[35aab3] | 714 | ggT->ref++; |
---|
| 715 | choice->f1=fq; |
---|
| 716 | choice->f2=ggT; |
---|
| 717 | } |
---|
| 718 | } |
---|
| 719 | } |
---|
| 720 | iter=iter->next; |
---|
| 721 | } |
---|
| 722 | } |
---|