1 | #include <kernel/ideals.h> |
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2 | #include <polys/monomials/p_polys.h> |
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3 | |
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4 | #include <gfanlib/gfanlib.h> |
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5 | |
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6 | #include <exception> |
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7 | |
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8 | long wDeg(const poly p, const ring r, const gfan::ZVector w) |
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9 | { |
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10 | long d=0; |
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11 | for (unsigned i=0; i<w.size(); i++) |
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12 | { |
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13 | if (!w[i].fitsInInt()) |
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14 | { |
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15 | WerrorS("wDeg: overflow in weight vector"); |
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16 | throw 0; // weightOverflow; |
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17 | } |
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18 | d += p_GetExp(p,i+1,r)*w[i].toInt(); |
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19 | } |
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20 | return d; |
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21 | } |
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22 | |
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23 | gfan::ZVector WDeg(const poly p, const ring r, const gfan::ZVector w, const gfan::ZMatrix W) |
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24 | { |
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25 | gfan::ZVector d = gfan::ZVector(W.getHeight()+1); |
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26 | d[0] = wDeg(p,r,w); |
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27 | for (int i=0; i<W.getHeight(); i++) |
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28 | d[i+1] = wDeg(p,r,W[i]); |
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29 | return d; |
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30 | } |
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31 | |
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32 | poly initial(const poly p, const ring r, const gfan::ZVector w) |
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33 | { |
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34 | if (p==NULL) |
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35 | return NULL; |
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36 | |
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37 | poly q0 = p_Head(p,r); |
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38 | poly q1 = q0; |
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39 | long d = wDeg(p,r,w); |
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40 | for (poly currentTerm = p->next; currentTerm; pIter(currentTerm)) |
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41 | { |
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42 | long e = wDeg(currentTerm,r,w); |
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43 | if (d<e) |
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44 | { |
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45 | p_Delete(&q0,r); |
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46 | q0 = p_Head(currentTerm,r); |
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47 | q1 = q0; |
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48 | d = e; |
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49 | } |
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50 | else |
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51 | if (e==d) |
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52 | { |
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53 | pNext(q1) = p_Head(currentTerm,r); |
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54 | pIter(q1); |
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55 | } |
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56 | } |
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57 | return q0; |
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58 | } |
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59 | |
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60 | ideal initial(const ideal I, const ring r, const gfan::ZVector w) |
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61 | { |
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62 | int k = idSize(I); ideal inI = idInit(k); |
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63 | for (int i=0; i<k; i++) |
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64 | inI->m[i] = initial(I->m[i],r,w); |
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65 | return inI; |
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66 | } |
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67 | |
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68 | poly initial(const poly p, const ring r, const gfan::ZVector w, const gfan::ZMatrix W) |
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69 | { |
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70 | if (p==NULL) |
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71 | return NULL; |
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72 | |
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73 | poly q0 = p_Head(p,r); |
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74 | poly q1 = q0; |
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75 | gfan::ZVector d = WDeg(p,r,w,W); |
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76 | for (poly currentTerm = p->next; currentTerm; pIter(currentTerm)) |
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77 | { |
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78 | gfan::ZVector e = WDeg(currentTerm,r,w,W); |
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79 | if (d<e) |
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80 | { |
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81 | p_Delete(&q0,r); |
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82 | q0 = p_Head(p,r); |
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83 | q1 = q0; |
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84 | d = e; |
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85 | } |
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86 | else |
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87 | if (d==e) |
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88 | { |
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89 | pNext(q1) = p_Head(currentTerm,r); |
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90 | pIter(q1); |
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91 | } |
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92 | } |
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93 | return q0; |
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94 | } |
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95 | |
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96 | ideal initial(const ideal I, const ring r, const gfan::ZVector w, const gfan::ZMatrix W) |
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97 | { |
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98 | int k = idSize(I); ideal inI = idInit(k); |
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99 | for (int i=0; i<k; i++) |
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100 | inI->m[i] = initial(I->m[i],r,w,W); |
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101 | return inI; |
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102 | } |
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103 | |
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104 | void initial(poly* pStar, const ring r, const gfan::ZVector w) |
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105 | { |
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106 | poly p = *pStar; |
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107 | if (p==NULL) |
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108 | return; |
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109 | |
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110 | long d = wDeg(p,r,w); |
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111 | poly q0 = p; |
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112 | poly q1 = q0; |
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113 | pNext(q1) = NULL; |
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114 | pIter(p); |
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115 | |
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116 | while(p) |
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117 | { |
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118 | long e = wDeg(p,r,w); |
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119 | if (d<e) |
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120 | { |
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121 | p_Delete(&q0,r); |
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122 | q0 = p; |
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123 | q1 = q0; |
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124 | pNext(q1) = NULL; |
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125 | d = e; |
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126 | pIter(p); |
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127 | } |
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128 | else |
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129 | if (e==d) |
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130 | { |
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131 | pNext(q1) = p; |
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132 | pIter(q1); |
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133 | pNext(q1) = NULL; |
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134 | pIter(p); |
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135 | } |
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136 | else |
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137 | p = p_LmDeleteAndNext(p,r); |
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138 | } |
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139 | pStar = &q0; |
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140 | return; |
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141 | } |
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142 | |
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143 | void initial(ideal* IStar, const ring r, const gfan::ZVector w) |
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144 | { |
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145 | ideal I = *IStar; |
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146 | int k = idSize(I); |
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147 | for (int i=0; i<k; i++) |
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148 | initial(&I->m[i],r,w); |
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149 | return; |
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150 | } |
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151 | |
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152 | void initial(poly* pStar, const ring r, const gfan::ZVector w, const gfan::ZMatrix W) |
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153 | { |
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154 | poly p = *pStar; |
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155 | if (p==NULL) |
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156 | return; |
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157 | |
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158 | gfan::ZVector d = WDeg(p,r,w,W); |
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159 | poly q0 = p; |
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160 | poly q1 = q0; |
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161 | pNext(q1) = NULL; |
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162 | pIter(p); |
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163 | |
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164 | while(p) |
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165 | { |
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166 | gfan::ZVector e = WDeg(p,r,w,W); |
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167 | if (d<e) |
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168 | { |
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169 | p_Delete(&q0,r); |
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170 | q0 = p; |
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171 | q1 = q0; |
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172 | pNext(q1) = NULL; |
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173 | d = e; |
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174 | pIter(p); |
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175 | } |
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176 | else |
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177 | if (d==e) |
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178 | { |
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179 | pNext(q1) = p; |
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180 | pIter(q1); |
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181 | pNext(q1) = NULL; |
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182 | pIter(p); |
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183 | } |
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184 | else |
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185 | p = p_LmDeleteAndNext(p,r); |
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186 | } |
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187 | pStar = &q0; |
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188 | return; |
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189 | } |
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190 | |
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191 | void initial(ideal* IStar, const ring r, const gfan::ZVector w, const gfan::ZMatrix W) |
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192 | { |
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193 | ideal I = *IStar; |
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194 | int k = idSize(I); |
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195 | for (int i=0; i<k; i++) |
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196 | initial(&I->m[i],r,w,W); |
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197 | return; |
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198 | } |
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