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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9 | * Version: $Id$ |
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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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36 | int n = si_min(pi_r->N, n_max_map_monomials); |
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37 | int i, j; |
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38 | unsigned long e_i, e_j; |
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39 | poly m_i=NULL; |
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40 | poly map_j = p_Init(map_r); |
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41 | |
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42 | for (i=1; i <= n; i++) |
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43 | { |
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44 | e_i = p_GetExp(pi_m, i, pi_r); |
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45 | if (e_i==0) e_i=1; |
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46 | m_i = max_map_monomials[i-1]; |
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47 | if (m_i != NULL && ! p_IsConstantComp(m_i, map_r)) |
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48 | { |
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49 | for (j = 1; j<= map_r->N; j++) |
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50 | { |
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51 | e_j = p_GetExp(m_i, j, map_r); |
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52 | if (e_j == 0) e_j=1; |
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53 | p_AddExp(map_j, j, e_j*e_i, map_r); |
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54 | } |
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55 | } |
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56 | } |
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57 | return map_j; |
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58 | } |
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59 | |
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60 | // returns maximal exponent if map_id is applied to pi_id |
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61 | static unsigned long maGetMaxExp(ideal pi_id, ring pi_r, ideal map_id, ring map_r) |
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62 | { |
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63 | unsigned long max=0; |
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64 | poly* max_map_monomials = (poly*) omAlloc(IDELEMS(map_id)*sizeof(poly)); |
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65 | poly max_pi_i, max_map_i; |
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66 | |
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67 | int i, j; |
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68 | for (i=0; i<IDELEMS(map_id); i++) |
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69 | { |
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70 | max_map_monomials[i] = p_GetMaxExpP(map_id->m[i], map_r); |
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71 | } |
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72 | |
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73 | for (i=0; i<IDELEMS(pi_id); i++) |
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74 | { |
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75 | max_pi_i = p_GetMaxExpP(pi_id->m[i], pi_r); |
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76 | max_map_i = maGetMaxExpP(max_map_monomials, IDELEMS(map_id), map_r, |
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77 | max_pi_i, pi_r); |
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78 | unsigned long temp = p_GetMaxExp(max_map_i, map_r); |
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79 | if (temp > max){ max=temp; } |
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80 | |
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81 | p_LmFree(max_pi_i, pi_r); |
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82 | p_LmFree(max_map_i, map_r); |
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83 | } |
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84 | for (i=0; i<IDELEMS(map_id); i++) |
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85 | { |
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86 | p_Delete(&max_map_monomials[i], map_r); |
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87 | } |
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88 | omFreeSize(max_map_monomials,IDELEMS(map_id)*sizeof(poly)); |
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89 | |
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90 | return max; |
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91 | } |
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92 | |
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93 | |
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94 | /******************************************************************************* |
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95 | ** |
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96 | *F debugging stuff |
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97 | */ |
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98 | #ifndef NDEBUG |
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99 | void maMonomial_Out(mapoly monomial, ring src_r, ring dest_r) |
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100 | { |
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101 | p_wrp(monomial->src, src_r); |
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102 | printf(" ref:%d", monomial->ref); |
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103 | if (dest_r != NULL) |
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104 | { |
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105 | printf(" dest:"); |
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106 | p_wrp(monomial->dest, dest_r); |
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107 | } |
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108 | if (monomial->f1!=NULL) { printf(" f1:%lx", (long)monomial->f1->src); |
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109 | // p_wrp(monomial->f1->src, src_r); |
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110 | } |
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111 | if (monomial->f2!=NULL) { printf(" f2:%lx",(long)monomial->f2->src); |
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112 | // p_wrp(monomial->f2->src, src_r); |
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113 | } |
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114 | printf("\n"); |
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115 | fflush(stdout); |
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116 | } |
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117 | |
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118 | void maPoly_Out(mapoly mpoly, ring src_r, ring dest_r) |
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119 | { |
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120 | while (mpoly != NULL) |
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121 | { |
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122 | maMonomial_Out(mpoly, src_r, dest_r); |
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123 | mpoly = mpoly->next; |
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124 | } |
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125 | } |
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126 | #endif |
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127 | |
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128 | /******************************************************************************* |
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129 | ** |
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130 | *F mapolyCreate . . . . . . . . . . . . . . . Creates mapoly |
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131 | */ |
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132 | static omBin mapolyBin = omGetSpecBin(sizeof(mapoly_s)); |
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133 | static omBin macoeffBin = omGetSpecBin(sizeof(macoeff_s)); |
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134 | |
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135 | mapoly maMonomial_Create(poly p, ring r_p, sBucket_pt bucket) |
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136 | { |
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137 | mapoly mp = (mapoly) omAlloc0Bin(mapolyBin); |
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138 | //p_wrp(p,r_p);printf(" (%x) created\n",mp); |
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139 | mp->src = p; |
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140 | p->next = NULL; |
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141 | |
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142 | if (bucket != NULL) |
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143 | { |
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144 | mp->coeff = (macoeff) omAlloc0Bin(macoeffBin); |
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145 | mp->coeff->bucket = bucket; |
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146 | mp->coeff->n = pGetCoeff(p); |
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147 | } |
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148 | mp->ref = 1; |
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149 | return mp; |
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150 | } |
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151 | |
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152 | void maMonomial_Destroy(mapoly mp, ring src_r, ring dest_r) |
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153 | { |
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154 | if (mp != NULL) |
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155 | { |
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156 | p_LmFree(mp->src, src_r); |
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157 | if (mp->coeff != NULL) |
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158 | { |
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159 | macoeff coeff, next = mp->coeff; |
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160 | do |
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161 | { |
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162 | coeff = next; |
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163 | next = coeff->next; |
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164 | omFreeBin(coeff, macoeffBin); |
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165 | } |
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166 | while (next != NULL); |
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167 | if (mp->dest != NULL) |
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168 | { |
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169 | assume(dest_r != NULL); |
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170 | p_Delete(&(mp->dest), dest_r); |
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171 | } |
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172 | } |
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173 | //if (mp->next!=NULL) maMonomial_Destroy(mp->next,dest_r); |
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174 | } |
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175 | omFreeBin(mp, mapolyBin); |
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176 | } |
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177 | |
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178 | /******************************************************************************* |
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179 | ** |
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180 | *F maPoly_InsertMonomial . . . . . . . . .insertion of a monomial into mapoly |
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181 | */ |
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182 | mapoly maPoly_InsertMonomial(mapoly &into, mapoly what, ring src_r) |
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183 | { |
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184 | if (into == NULL) |
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185 | { |
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186 | into = what; |
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187 | return what; |
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188 | } |
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189 | |
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190 | mapoly iter = into; |
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191 | mapoly prev = NULL; |
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192 | |
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193 | Top: |
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194 | p_LmCmpAction(iter->src, what->src, src_r, goto Equal, goto Greater, goto Smaller); |
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195 | |
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196 | Greater: |
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197 | if (iter->next == NULL) |
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198 | { |
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199 | iter->next = what; |
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200 | return what; |
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201 | } |
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202 | prev = iter; |
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203 | iter = iter->next; |
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204 | goto Top; |
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205 | |
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206 | Smaller: |
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207 | if (prev == NULL) |
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208 | { |
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209 | into = what; |
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210 | what->next = iter; |
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211 | return what; |
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212 | } |
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213 | prev->next = what; |
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214 | what->next = iter; |
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215 | return what; |
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216 | |
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217 | Equal: |
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218 | iter->ref += what->ref; |
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219 | macoeff coeff = what->coeff; |
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220 | if (coeff != NULL) |
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221 | { |
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222 | while (coeff->next != NULL) coeff = coeff->next; |
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223 | coeff->next = iter->coeff; |
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224 | iter->coeff = what->coeff; |
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225 | what->coeff = NULL; |
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226 | } |
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227 | maMonomial_Free(what, src_r); |
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228 | return iter; |
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229 | } |
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230 | |
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231 | mapoly maPoly_InsertMonomial(mapoly &into, poly p, ring src_r, sBucket_pt bucket) |
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232 | { |
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233 | return maPoly_InsertMonomial(into, maMonomial_Create(p, src_r, bucket), src_r); |
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234 | } |
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235 | |
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236 | static void maPoly_InsertPoly(mapoly &into, poly what, ring src_r, sBucket_pt bucket) |
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237 | { |
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238 | poly next; |
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239 | |
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240 | while (what != NULL) |
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241 | { |
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242 | next = what->next; |
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243 | maPoly_InsertMonomial(into, what, src_r, bucket); |
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244 | what = next; |
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245 | } |
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246 | } |
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247 | |
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248 | /******************************************************************************* |
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249 | ** |
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250 | *F maMap_Create . . . . . . . . . . . . . . . . . . . . create stuff |
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251 | */ |
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252 | |
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253 | void maMap_CreatePolyIdeal(ideal map_id, ring map_r, ring src_r, ring dest_r, |
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254 | mapoly &mp, maideal &mideal) |
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255 | { |
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256 | mideal = (maideal) omAlloc0(sizeof(maideal_s)); |
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257 | mideal->n = IDELEMS(map_id); |
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258 | mideal->buckets = (sBucket_pt*) omAlloc0(mideal->n*sizeof(sBucket_pt)); |
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259 | int i; |
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260 | mp = NULL; |
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261 | |
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262 | for (i=0; i<mideal->n; i++) |
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263 | { |
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264 | if (map_id->m[i] != NULL) |
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265 | { |
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266 | mideal->buckets[i] = sBucketCreate(dest_r); |
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267 | maPoly_InsertPoly(mp, |
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268 | #ifdef PDEBUG |
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269 | prShallowCopyR(map_id->m[i], map_r, src_r), |
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270 | #else |
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271 | prShallowCopyR_NoSort(map_id->m[i], map_r, src_r), |
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272 | #endif |
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273 | src_r, |
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274 | mideal->buckets[i]); |
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275 | } |
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276 | } |
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277 | } |
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278 | |
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279 | void maMap_CreateRings(ideal map_id, ring map_r, |
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280 | ideal image_id, ring image_r, |
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281 | ring &src_r, ring &dest_r, BOOLEAN &simple) |
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282 | { |
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283 | #if HAVE_SRC_R > 0 |
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284 | int* weights = (int*) omAlloc0(map_r->N*sizeof(int)); |
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285 | int i; |
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286 | int n = si_min(map_r->N, IDELEMS(image_id)); |
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287 | |
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288 | for (i=0; i<n; i++) |
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289 | { |
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290 | weights[i] = pLength(image_id->m[i])+1; |
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291 | } |
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292 | src_r = rModifyRing_Wp(map_r, weights); |
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293 | #else |
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294 | src_r = map_r; |
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295 | #endif |
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296 | |
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297 | #if HAVE_DEST_R > 0 |
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298 | unsigned long maxExp = maGetMaxExp(map_id, map_r, image_id, image_r); |
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299 | if (maxExp <= 1) maxExp = 2; |
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300 | else if (maxExp > (unsigned long) image_r->bitmask) |
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301 | maxExp = (unsigned long) image_r->bitmask; |
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302 | dest_r = rModifyRing_Simple(image_r, TRUE, TRUE, maxExp, simple); |
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303 | #else |
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304 | dest_r = image_r; |
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305 | #endif |
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306 | } |
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307 | |
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308 | static void maMap_KillRings(ring map_r, ring image_r, ring src_r, ring dest_r) |
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309 | { |
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310 | if (map_r != src_r) |
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311 | rKillModified_Wp_Ring(src_r); |
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312 | if (image_r != dest_r) |
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313 | rKillModifiedRing_Simple(dest_r); |
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314 | } |
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315 | |
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316 | /******************************************************************************* |
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317 | ** |
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318 | *F misc . . . . . . . . . . . . . . . . . . . . . . . . . . . . misc stuff |
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319 | */ |
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320 | |
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321 | ideal maIdeal_2_Ideal(maideal m_id, ring dest_r) |
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322 | { |
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323 | ideal res = idInit(m_id->n, 1); |
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324 | int l; |
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325 | |
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326 | for (int i= 0; i < m_id->n; i++) |
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327 | { |
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328 | if (m_id->buckets[i]!=NULL) |
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329 | sBucketDestroyAdd(m_id->buckets[i], &(res->m[i]), &l); |
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330 | } |
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331 | omFreeSize(m_id->buckets,m_id->n*sizeof(sBucket_pt)); |
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332 | omFree(m_id); |
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333 | return res; |
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334 | } |
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335 | |
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336 | void maPoly_GetLength(mapoly mp, int &length) |
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337 | { |
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338 | length = 0; |
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339 | while (mp != NULL) |
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340 | { |
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341 | length++; |
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342 | mp = mp->next; |
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343 | } |
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344 | } |
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345 | |
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346 | |
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347 | /******************************************************************************* |
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348 | ** |
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349 | *F fast_map . . . . . . . . . . . . . . . . . . . . . . . . . .the real thing |
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350 | */ |
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351 | |
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352 | ideal fast_map(ideal map_id, ring map_r, ideal image_id, ring image_r) |
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353 | { |
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354 | ring src_r, dest_r; |
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355 | ideal dest_id, res_id; |
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356 | int length = 0; |
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357 | BOOLEAN no_sort; |
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358 | |
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359 | // construct rings we work in: |
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360 | // src_r: Wp with Weights set to length of poly in image_id |
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361 | // dest_r: Simple ring without degree ordering and short exponents |
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362 | maMap_CreateRings(map_id, map_r, image_id, image_r, src_r, dest_r, no_sort); |
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363 | |
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364 | // construct dest_id |
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365 | if (dest_r != image_r) |
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366 | dest_id = idrShallowCopyR(image_id, image_r, dest_r); |
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367 | else |
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368 | dest_id = image_id; |
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369 | |
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370 | // construct mpoly and mideal |
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371 | mapoly mp; |
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372 | maideal mideal; |
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373 | maMap_CreatePolyIdeal(map_id, map_r, src_r, dest_r, mp, mideal); |
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374 | |
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375 | if (TEST_OPT_PROT) |
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376 | { |
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377 | maPoly_GetLength(mp, length); |
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378 | Print("map[%ld:%d]{%d:", dest_r->bitmask, dest_r->ExpL_Size, length); |
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379 | } |
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380 | |
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381 | // do the optimization step |
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382 | #if HAVE_MAP_OPTIMIZE > 0 |
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383 | if (mp!=NULL) maPoly_Optimize(mp, src_r); |
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384 | #endif |
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385 | if (TEST_OPT_PROT) |
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386 | { |
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387 | maPoly_GetLength(mp, length); |
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388 | Print("%d}", length); |
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389 | } |
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390 | |
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391 | // do the actual evaluation |
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392 | maPoly_Eval(mp, src_r, dest_id, dest_r, length); |
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393 | if (TEST_OPT_PROT) Print("."); |
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394 | |
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395 | // collect the results back into an ideal |
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396 | ideal res_dest_id = maIdeal_2_Ideal(mideal, dest_r); |
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397 | if (TEST_OPT_PROT) Print("."); |
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398 | |
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399 | // convert result back to image_r |
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400 | ideal res_image_id; |
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401 | if (dest_r != image_r) |
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402 | { |
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403 | //if (no_sort) see Old/m134si.tst |
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404 | // res_image_id = idrShallowCopyR_NoSort(res_dest_id, dest_r, image_r); |
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405 | //else |
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406 | res_image_id = idrShallowCopyR(res_dest_id, dest_r, image_r); |
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407 | id_ShallowDelete(&res_dest_id, dest_r); |
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408 | } |
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409 | else |
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410 | res_image_id = res_dest_id; |
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411 | |
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412 | if (TEST_OPT_PROT) Print("."); |
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413 | |
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414 | // clean-up the rings |
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415 | maMap_KillRings(map_r, image_r, src_r, dest_r); |
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416 | |
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417 | if (TEST_OPT_PROT) |
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418 | Print("\n"); |
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419 | |
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420 | idTest(res_image_id); |
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421 | return res_image_id; |
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422 | } |
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423 | |
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424 | |
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425 | /********************************************************************** |
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426 | * Evaluation stuff * |
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427 | **********************************************************************/ |
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428 | |
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429 | // substitute p everywhere the monomial occours, |
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430 | // return the number of substitutions |
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431 | static int maPoly_Substitute(macoeff c, poly p, ring dest_r) |
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432 | { |
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433 | // substitute the monomial: go through macoeff |
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434 | int len=pLength(p); |
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435 | int done=0; |
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436 | while (c!=NULL) |
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437 | { |
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438 | done++; |
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439 | poly t=pp_Mult_nn(p,c->n,dest_r); |
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440 | sBucket_Add_p(c->bucket, t, len); |
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441 | c=c->next; |
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442 | } |
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443 | return done; |
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444 | } |
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445 | |
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446 | static poly maPoly_EvalMon(poly src, ring src_r, poly* dest_id, ring dest_r) |
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447 | { |
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448 | int i; |
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449 | int e; |
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450 | poly p=NULL; |
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451 | poly pp; |
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452 | for(i=1;i<=src_r->N;i++) |
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453 | { |
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454 | e=p_GetExp(src,i,src_r); |
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455 | if (e>0) |
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456 | { |
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457 | pp=dest_id[i-1]; |
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458 | if (pp==NULL) |
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459 | { |
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460 | p_Delete(&p,dest_r); |
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461 | return NULL; |
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462 | } |
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463 | if ((p==NULL) /* && (e>0)*/) |
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464 | { |
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465 | p=p_Copy(pp /*dest_id[i-1]*/,dest_r); |
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466 | e--; |
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467 | } |
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468 | while (e>0) |
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469 | { |
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470 | p=p_Mult_q(p,p_Copy(pp /*dest_id[i-1]*/,dest_r),dest_r); |
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471 | e--; |
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472 | } |
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473 | } |
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474 | } |
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475 | if (p==NULL) p=p_ISet(1,dest_r); |
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476 | return p; |
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477 | } |
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478 | |
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479 | void maPoly_Eval(mapoly root, ring src_r, ideal dest_id, ring dest_r, int total_cost) |
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480 | { |
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481 | // invert the list rooted at root: |
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482 | if ((root!=NULL) && (root->next!=NULL)) |
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483 | { |
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484 | mapoly q=root->next; |
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485 | mapoly qn; |
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486 | root->next=NULL; |
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487 | do |
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488 | { |
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489 | qn=q->next; |
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490 | q->next=root; |
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491 | root=q; |
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492 | q=qn; |
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493 | } |
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494 | while (qn !=NULL); |
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495 | } |
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496 | |
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497 | total_cost /= 10; |
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498 | int next_print_cost = total_cost; |
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499 | |
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500 | // the evaluation ----------------------------------------- |
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501 | mapoly p=root; |
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502 | int cost = 0; |
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503 | |
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504 | while (p!=NULL) |
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505 | { |
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506 | // look at each mapoly: compute its value in ->dest |
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507 | assume (p->dest==NULL); |
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508 | { |
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509 | if ((p->f1!=NULL)&&(p->f2!=NULL)) |
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510 | { |
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511 | #if 0 |
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512 | printf("found prod:"); |
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513 | p_wrp(p->src,src_r);printf("="); |
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514 | p_wrp(p->f1->src,src_r);printf(" * "); |
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515 | p_wrp(p->f2->src,src_r);printf("\n"); |
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516 | #endif |
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517 | poly f1=p->f1->dest; |
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518 | poly f2=p->f2->dest; |
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519 | if (p->f1->ref>0) f1=p_Copy(f1,dest_r); |
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520 | else |
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521 | { |
---|
522 | // we own p->f1->dest now (in f1) |
---|
523 | p->f1->dest=NULL; |
---|
524 | } |
---|
525 | if (p->f2->ref>0) f2=p_Copy(f2,dest_r); |
---|
526 | else |
---|
527 | { |
---|
528 | // we own p->f2->dest now (in f2) |
---|
529 | p->f2->dest=NULL; |
---|
530 | } |
---|
531 | maMonomial_Free(p->f1,src_r, dest_r); |
---|
532 | maMonomial_Free(p->f2,src_r, dest_r); |
---|
533 | p->dest=p_Mult_q(f1,f2,dest_r); |
---|
534 | } /* factors : 2 */ |
---|
535 | else |
---|
536 | { |
---|
537 | //printf("compute "); p_wrp(p->src,src_r);printf("\n"); |
---|
538 | assume((p->f1==NULL) && (p->f2==NULL)); |
---|
539 | //if(p->f1!=NULL) { printf(" but f1="); p_wrp(p->f1->src,src_r);printf("\n"); } |
---|
540 | //if(p->f2!=NULL) { printf(" but f2="); p_wrp(p->f2->src,src_r);printf("\n"); } |
---|
541 | // no factorization provided, use the classical method: |
---|
542 | p->dest=maPoly_EvalMon(p->src,src_r,dest_id->m,dest_r); |
---|
543 | //p_wrp(p->dest, dest_r); printf(" is p->dest\n"); |
---|
544 | } |
---|
545 | } /* p->dest==NULL */ |
---|
546 | // substitute the monomial: go through macoeff |
---|
547 | p->ref -= maPoly_Substitute(p->coeff, p->dest, dest_r); |
---|
548 | //printf("subst done\n"); |
---|
549 | if (total_cost) |
---|
550 | { |
---|
551 | assume(TEST_OPT_PROT); |
---|
552 | cost++; |
---|
553 | if (cost > next_print_cost) |
---|
554 | { |
---|
555 | Print("-"); |
---|
556 | next_print_cost += total_cost; |
---|
557 | } |
---|
558 | } |
---|
559 | |
---|
560 | mapoly pp=p; |
---|
561 | p=p->next; |
---|
562 | //p_wrp(pp->src, src_r); |
---|
563 | if (pp->ref<=0) |
---|
564 | { |
---|
565 | //printf(" (%x) killed\n",pp); |
---|
566 | maMonomial_Destroy(pp, src_r, dest_r); |
---|
567 | } |
---|
568 | //else |
---|
569 | // printf(" (%x) not killed, ref=%d\n",pp,pp->ref); |
---|
570 | } |
---|
571 | } |
---|
572 | |
---|
573 | |
---|
574 | /******************************************************************************* |
---|
575 | ** |
---|
576 | *F maEggt . . . . . . . . . . . . . . . . . . . . . . . . returns extended ggt |
---|
577 | */ |
---|
578 | // return NULL if deg(ggt(m1, m2)) < 2 |
---|
579 | // else return m = ggT(m1, m2) and q1, q2 such that m1 = q1*m m2 = q2*m |
---|
580 | static poly maEggT(const poly m1, const poly m2, poly &q1, poly &q2,const ring r) |
---|
581 | { |
---|
582 | |
---|
583 | int i; |
---|
584 | int dg = 0; |
---|
585 | poly ggt = NULL; |
---|
586 | q1 = p_Init(r); |
---|
587 | q2 = p_Init(r); |
---|
588 | ggt=p_Init(r); |
---|
589 | |
---|
590 | for (i=1;i<=r->N;i++) { |
---|
591 | unsigned long e1 = p_GetExp(m1, i, r); |
---|
592 | unsigned long e2 = p_GetExp(m2, i, r); |
---|
593 | if (e1 > 0 && e2 > 0) |
---|
594 | { |
---|
595 | unsigned long em = (e1 > e2 ? e2 : e1); |
---|
596 | dg += em; |
---|
597 | p_SetExp(ggt, i, em, r); |
---|
598 | p_SetExp(q1, i, e1 - em, r); |
---|
599 | p_SetExp(q2, i, e2 - em, r); |
---|
600 | } |
---|
601 | else |
---|
602 | { |
---|
603 | p_SetExp(q1, i, e1, r); |
---|
604 | p_SetExp(q2, i, e2, r); |
---|
605 | } |
---|
606 | } |
---|
607 | if (dg>1) |
---|
608 | { |
---|
609 | p_Setm(ggt, r); |
---|
610 | p_Setm(q1, r); |
---|
611 | p_Setm(q2, r); |
---|
612 | } |
---|
613 | else |
---|
614 | { |
---|
615 | p_LmFree(ggt, r); |
---|
616 | p_LmFree(q1, r); |
---|
617 | p_LmFree(q2, r); |
---|
618 | ggt = NULL; |
---|
619 | } |
---|
620 | return ggt; |
---|
621 | } |
---|
622 | |
---|
623 | /******************************************************************** |
---|
624 | ** * |
---|
625 | * maFindBestggT * |
---|
626 | * finds ggT with the highest cost * |
---|
627 | *******************************************************************/ |
---|
628 | |
---|
629 | static mapoly maFindBestggT(mapoly mp, mapoly & choice, mapoly & fp, mapoly & fq,const ring r) |
---|
630 | { |
---|
631 | int ggt_deg = 0; |
---|
632 | poly p = mp->src; |
---|
633 | mapoly iter = choice; |
---|
634 | poly ggT = NULL; |
---|
635 | fp = NULL; |
---|
636 | fq = NULL; |
---|
637 | poly fp_p=NULL; |
---|
638 | poly fq_p=NULL; |
---|
639 | choice=NULL; |
---|
640 | while ((iter != NULL) && (pDeg(iter->src, r) > ggt_deg)) |
---|
641 | { |
---|
642 | // maMonomial_Out(iter, r, NULL); |
---|
643 | poly q1, q2, q; |
---|
644 | |
---|
645 | q = maEggT(p, iter->src, q1, q2,r); |
---|
646 | if (q != NULL) |
---|
647 | { |
---|
648 | assume((q1!=NULL)&&(q2!=NULL)); |
---|
649 | if (pDeg(q,r) > ggt_deg) |
---|
650 | { |
---|
651 | choice=iter; |
---|
652 | if (ggT != NULL) |
---|
653 | { |
---|
654 | p_LmFree(ggT, r); |
---|
655 | p_LmFree(fp_p, r); |
---|
656 | p_LmFree(fq_p, r); |
---|
657 | |
---|
658 | } |
---|
659 | ggt_deg = pDeg(q, r); |
---|
660 | ggT = q; |
---|
661 | fp_p = q1; |
---|
662 | fq_p = q2; |
---|
663 | } |
---|
664 | else |
---|
665 | { |
---|
666 | p_LmFree(q, r); |
---|
667 | p_LmFree(q1, r); |
---|
668 | p_LmFree(q2, r); |
---|
669 | } |
---|
670 | } |
---|
671 | iter=iter->next; |
---|
672 | } |
---|
673 | if(ggT!=NULL) |
---|
674 | { |
---|
675 | int dq =pTotaldegree(fq_p,r); |
---|
676 | if (dq!=0) |
---|
677 | { |
---|
678 | fq=maPoly_InsertMonomial(mp, fq_p, r, NULL); |
---|
679 | fp=maPoly_InsertMonomial(mp, fp_p, r, NULL); |
---|
680 | return maPoly_InsertMonomial(mp, ggT, r, NULL); |
---|
681 | } |
---|
682 | else |
---|
683 | { |
---|
684 | fq=NULL; |
---|
685 | p_LmFree(fq_p, r); |
---|
686 | p_LmFree(ggT, r); |
---|
687 | fp=maPoly_InsertMonomial(mp, fp_p, r, NULL); |
---|
688 | choice->ref++; |
---|
689 | return choice; |
---|
690 | } |
---|
691 | } |
---|
692 | else |
---|
693 | { |
---|
694 | return NULL; |
---|
695 | } |
---|
696 | } |
---|
697 | |
---|
698 | /******************************************************************** |
---|
699 | ** * |
---|
700 | * maPoly_Optimize * |
---|
701 | * adds and integrates subexpressions * |
---|
702 | *******************************************************************/ |
---|
703 | |
---|
704 | void maPoly_Optimize(mapoly mpoly, ring src_r) |
---|
705 | { |
---|
706 | assume(mpoly!=NULL && mpoly->src!=NULL); |
---|
707 | mapoly iter = mpoly; |
---|
708 | mapoly choice; |
---|
709 | mapoly ggT=NULL; |
---|
710 | mapoly fp=NULL; |
---|
711 | mapoly fq=NULL; |
---|
712 | while (iter->next!=NULL) |
---|
713 | { |
---|
714 | choice=iter->next; |
---|
715 | if ((iter->f1==NULL)) |
---|
716 | { |
---|
717 | ggT=maFindBestggT(iter, choice, fp, fq,src_r); |
---|
718 | if (choice!=NULL) |
---|
719 | { |
---|
720 | iter->f1=fp; |
---|
721 | iter->f2=ggT; |
---|
722 | if (fq!=NULL) |
---|
723 | { |
---|
724 | ggT->ref++; |
---|
725 | choice->f1=fq; |
---|
726 | choice->f2=ggT; |
---|
727 | } |
---|
728 | } |
---|
729 | } |
---|
730 | iter=iter->next; |
---|
731 | } |
---|
732 | } |
---|