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 | * ABSTRACT: class bigintmat: matrizes of big integers |
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6 | */ |
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7 | #include "bigintmat.h" |
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8 | |
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9 | #include <misc/intvec.h> |
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10 | |
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11 | //#include <kernel/mod2.h> |
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12 | //#include <kernel/options.h> |
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13 | |
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14 | #include <math.h> |
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15 | #include <string.h> |
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16 | |
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17 | #define BIMATELEM(M,I,J) (M)[ (M).index(I,J) ] |
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18 | |
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19 | bigintmat * bigintmat::transpose() |
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20 | { |
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21 | bigintmat * t = new bigintmat(col, row, basecoeffs()); |
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22 | for (int i=1; i<=row; i++) |
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23 | { |
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24 | for (int j=1; j<=col; j++) |
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25 | { |
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26 | t->set(j, i, v[(i-1)*col+(j-1)]); |
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27 | } |
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28 | } |
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29 | return t; |
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30 | } |
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31 | |
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32 | // Beginnt bei [0] |
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33 | void bigintmat::set(int i, number n, const coeffs C) |
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34 | { |
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35 | assume (C == NULL || C == basecoeffs()); |
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36 | |
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37 | rawset(i, n_Copy(n, basecoeffs()), basecoeffs()); |
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38 | } |
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39 | |
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40 | // Beginnt bei [1,1] |
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41 | void bigintmat::set(int i, int j, number n, const coeffs C) |
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42 | { |
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43 | assume (C == NULL || C == basecoeffs()); |
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44 | assume (i > 0 && j > 0); |
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45 | assume (i <= rows() && j <= cols()); |
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46 | |
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47 | set(index(i, j), n, C); |
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48 | } |
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49 | |
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50 | number bigintmat::get(int i) const |
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51 | { |
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52 | assume (i >= 0); |
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53 | assume (i<rows()*cols()); |
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54 | |
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55 | return n_Copy(v[i], basecoeffs()); |
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56 | } |
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57 | |
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58 | number bigintmat::get(int i, int j) const |
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59 | { |
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60 | assume (i > 0 && j > 0); |
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61 | assume (i <= rows() && j <= cols()); |
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62 | |
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63 | return get(index(i, j)); |
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64 | } |
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65 | |
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66 | // Ãberladener *=-Operator (fÃŒr int und bigint) |
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67 | // Frage hier: *= verwenden oder lieber = und * einzeln? |
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68 | void bigintmat::operator*=(int intop) |
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69 | { |
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70 | number iop = n_Init(intop, basecoeffs()); |
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71 | |
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72 | inpMult(iop, basecoeffs()); |
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73 | |
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74 | n_Delete(&iop, basecoeffs()); |
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75 | } |
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76 | |
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77 | void bigintmat::inpMult(number bintop, const coeffs C) |
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78 | { |
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79 | assume (C == NULL || C == basecoeffs()); |
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80 | |
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81 | const int l = rows() * cols(); |
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82 | |
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83 | for (int i=0; i < l; i++) |
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84 | n_InpMult(v[i], bintop, basecoeffs()); |
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85 | } |
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86 | |
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87 | // Stimmen Parameter? |
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88 | // Welche der beiden Methoden? |
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89 | // Oder lieber eine comp-Funktion? |
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90 | |
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91 | bool operator==(const bigintmat & lhr, const bigintmat & rhr) |
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92 | { |
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93 | if (&lhr == &rhr) { return true; } |
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94 | if (lhr.cols() != rhr.cols()) { return false; } |
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95 | if (lhr.rows() != rhr.rows()) { return false; } |
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96 | if (lhr.basecoeffs() != rhr.basecoeffs()) { return false; } |
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97 | |
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98 | const int l = (lhr.rows())*(lhr.cols()); |
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99 | |
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100 | for (int i=0; i < l; i++) |
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101 | { |
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102 | if (!n_Equal(lhr[i], rhr[i], lhr.basecoeffs())) { return false; } |
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103 | } |
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104 | |
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105 | return true; |
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106 | } |
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107 | |
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108 | bool operator!=(const bigintmat & lhr, const bigintmat & rhr) |
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109 | { |
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110 | return !(lhr==rhr); |
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111 | } |
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112 | |
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113 | // Matrix-Add/-Sub/-Mult so oder mit operator+/-/* ? |
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114 | bigintmat * bimAdd(bigintmat * a, bigintmat * b) |
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115 | { |
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116 | if (a->cols() != b->cols()) return NULL; |
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117 | if (a->basecoeffs() != b->basecoeffs()) { return NULL; } |
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118 | |
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119 | const int mn = si_min(a->rows(),b->rows()); |
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120 | const int ma = si_max(a->rows(),b->rows()); |
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121 | |
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122 | const coeffs basecoeffs = a->basecoeffs(); |
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123 | |
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124 | int i; |
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125 | |
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126 | if (a->cols() == 1) |
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127 | { |
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128 | bigintmat * bim = new bigintmat(ma, 1, basecoeffs); |
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129 | |
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130 | for (i=0; i<mn; i++) |
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131 | bim->rawset(i, n_Add((*a)[i], (*b)[i], basecoeffs), basecoeffs); |
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132 | |
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133 | if (ma > mn) |
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134 | { |
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135 | if (ma == a->rows()) |
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136 | for(i=mn; i<ma; i++) |
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137 | bim->set(i, (*a)[i], basecoeffs); |
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138 | else |
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139 | for(i=mn; i<ma; i++) |
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140 | bim->set(i, (*b)[i], basecoeffs); |
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141 | } |
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142 | return bim; |
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143 | } |
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144 | |
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145 | if (mn != ma) return NULL; |
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146 | |
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147 | bigintmat * bim = new bigintmat(mn, a->cols(), basecoeffs); |
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148 | |
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149 | for (i=0; i<mn*a->cols(); i++) |
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150 | bim->rawset(i, n_Add((*a)[i], (*b)[i], basecoeffs), basecoeffs); |
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151 | |
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152 | return bim; |
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153 | } |
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154 | bigintmat * bimAdd(bigintmat * a, int b) |
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155 | { |
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156 | |
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157 | const int mn = a->rows()*a->cols(); |
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158 | |
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159 | const coeffs basecoeffs = a->basecoeffs(); |
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160 | number bb=n_Init(b,basecoeffs); |
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161 | |
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162 | int i; |
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163 | |
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164 | bigintmat * bim = new bigintmat(a->rows(),a->cols() , basecoeffs); |
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165 | |
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166 | for (i=0; i<mn; i++) |
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167 | bim->rawset(i, n_Add((*a)[i], bb, basecoeffs), basecoeffs); |
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168 | |
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169 | n_Delete(&bb,basecoeffs); |
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170 | return bim; |
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171 | } |
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172 | |
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173 | bigintmat * bimSub(bigintmat * a, bigintmat * b) |
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174 | { |
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175 | if (a->cols() != b->cols()) return NULL; |
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176 | if (a->basecoeffs() != b->basecoeffs()) { return NULL; } |
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177 | |
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178 | const int mn = si_min(a->rows(),b->rows()); |
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179 | const int ma = si_max(a->rows(),b->rows()); |
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180 | |
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181 | const coeffs basecoeffs = a->basecoeffs(); |
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182 | |
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183 | int i; |
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184 | |
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185 | if (a->cols() == 1) |
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186 | { |
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187 | bigintmat * bim = new bigintmat(ma, 1, basecoeffs); |
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188 | |
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189 | for (i=0; i<mn; i++) |
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190 | bim->rawset(i, n_Sub((*a)[i], (*b)[i], basecoeffs), basecoeffs); |
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191 | |
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192 | if (ma > mn) |
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193 | { |
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194 | if (ma == a->rows()) |
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195 | { |
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196 | for(i=mn; i<ma; i++) |
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197 | bim->set(i, (*a)[i], basecoeffs); |
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198 | } |
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199 | else |
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200 | for(i=mn; i<ma; i++) |
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201 | { |
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202 | number n = b->get(i); |
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203 | n = n_Neg(n, basecoeffs); |
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204 | bim->rawset(i, n, basecoeffs); |
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205 | } |
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206 | } |
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207 | return bim; |
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208 | } |
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209 | |
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210 | if (mn != ma) return NULL; |
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211 | |
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212 | bigintmat * bim = new bigintmat(mn, a->cols(), basecoeffs); |
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213 | |
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214 | for (i=0; i<mn*a->cols(); i++) |
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215 | bim->rawset(i, n_Sub((*a)[i], (*b)[i], basecoeffs), basecoeffs); |
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216 | |
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217 | return bim; |
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218 | } |
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219 | |
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220 | bigintmat * bimSub(bigintmat * a, int b) |
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221 | { |
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222 | |
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223 | const int mn = a->rows()*a->cols(); |
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224 | |
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225 | const coeffs basecoeffs = a->basecoeffs(); |
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226 | number bb=n_Init(b,basecoeffs); |
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227 | |
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228 | int i; |
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229 | |
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230 | bigintmat * bim = new bigintmat(a->rows(),a->cols() , basecoeffs); |
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231 | |
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232 | for (i=0; i<mn; i++) |
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233 | bim->rawset(i, n_Sub((*a)[i], bb, basecoeffs), basecoeffs); |
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234 | |
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235 | n_Delete(&bb,basecoeffs); |
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236 | return bim; |
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237 | } |
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238 | |
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239 | bigintmat * bimMult(bigintmat * a, bigintmat * b) |
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240 | { |
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241 | const int ca = a->cols(); |
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242 | const int cb = b->cols(); |
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243 | |
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244 | const int ra = a->rows(); |
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245 | const int rb = b->rows(); |
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246 | |
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247 | if (ca != rb) |
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248 | { |
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249 | #ifndef NDEBUG |
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250 | Werror("wrong bigintmat sizes at multiplication a * b: acols: %d != brows: %d\n", ca, rb); |
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251 | #endif |
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252 | return NULL; |
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253 | } |
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254 | |
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255 | assume (ca == rb); |
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256 | |
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257 | if (a->basecoeffs() != b->basecoeffs()) { return NULL; } |
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258 | |
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259 | const coeffs basecoeffs = a->basecoeffs(); |
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260 | |
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261 | int i, j, k; |
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262 | |
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263 | number sum; |
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264 | |
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265 | bigintmat * bim = new bigintmat(ra, cb, basecoeffs); |
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266 | |
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267 | for (i=1; i<=ra; i++) |
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268 | for (j=1; j<=cb; j++) |
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269 | { |
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270 | sum = n_Init(0, basecoeffs); |
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271 | |
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272 | for (k=1; k<=ca; k++) |
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273 | { |
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274 | number prod = n_Mult( BIMATELEM(*a, i, k), BIMATELEM(*b, k, j), basecoeffs); |
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275 | |
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276 | number sum2 = n_Add(sum, prod, basecoeffs); // no inplace add :( |
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277 | |
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278 | n_Delete(&sum, basecoeffs); n_Delete(&prod, basecoeffs); |
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279 | |
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280 | sum = sum2; |
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281 | } |
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282 | bim->rawset(i, j, sum, basecoeffs); |
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283 | } |
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284 | return bim; |
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285 | } |
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286 | |
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287 | bigintmat * bimMult(bigintmat * a, int b) |
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288 | { |
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289 | |
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290 | const int mn = a->rows()*a->cols(); |
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291 | |
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292 | const coeffs basecoeffs = a->basecoeffs(); |
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293 | number bb=n_Init(b,basecoeffs); |
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294 | |
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295 | int i; |
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296 | |
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297 | bigintmat * bim = new bigintmat(a->rows(),a->cols() , basecoeffs); |
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298 | |
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299 | for (i=0; i<mn; i++) |
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300 | bim->rawset(i, n_Mult((*a)[i], bb, basecoeffs), basecoeffs); |
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301 | |
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302 | n_Delete(&bb,basecoeffs); |
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303 | return bim; |
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304 | } |
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305 | |
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306 | bigintmat * bimMult(bigintmat * a, number b, const coeffs cf) |
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307 | { |
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308 | if (cf!=a->basecoeffs()) return NULL; |
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309 | |
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310 | const int mn = a->rows()*a->cols(); |
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311 | |
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312 | const coeffs basecoeffs = a->basecoeffs(); |
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313 | |
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314 | int i; |
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315 | |
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316 | bigintmat * bim = new bigintmat(a->rows(),a->cols() , basecoeffs); |
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317 | |
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318 | for (i=0; i<mn; i++) |
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319 | bim->rawset(i, n_Mult((*a)[i], b, basecoeffs), basecoeffs); |
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320 | |
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321 | return bim; |
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322 | } |
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323 | |
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324 | // ----------------------------------------------------------------- // |
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325 | // Korrekt? |
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326 | |
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327 | intvec * bim2iv(bigintmat * b) |
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328 | { |
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329 | intvec * iv = new intvec(b->rows(), b->cols(), 0); |
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330 | for (int i=0; i<(b->rows())*(b->cols()); i++) |
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331 | (*iv)[i] = n_Int((*b)[i], b->basecoeffs()); // Geht das so? |
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332 | return iv; |
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333 | } |
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334 | |
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335 | bigintmat * iv2bim(intvec * b, const coeffs C) |
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336 | { |
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337 | const int l = (b->rows())*(b->cols()); |
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338 | bigintmat * bim = new bigintmat(b->rows(), b->cols(), C); |
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339 | |
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340 | for (int i=0; i < l; i++) |
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341 | bim->rawset(i, n_Init((*b)[i], C), C); |
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342 | |
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343 | return bim; |
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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 | int bigintmat::compare(const bigintmat* op) const |
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349 | { |
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350 | assume (basecoeffs() == op->basecoeffs() ); |
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351 | |
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352 | #ifndef NDEBUG |
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353 | if (basecoeffs() != op->basecoeffs() ) |
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354 | WerrorS("wrong bigintmat comparison: different basecoeffs!\n"); |
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355 | #endif |
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356 | |
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357 | if ((col!=1) ||(op->cols()!=1)) |
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358 | { |
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359 | if((col!=op->cols()) |
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360 | || (row!=op->rows())) |
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361 | return -2; |
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362 | } |
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363 | |
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364 | int i; |
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365 | for (i=0; i<si_min(row*col,op->rows()*op->cols()); i++) |
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366 | { |
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367 | if ( n_Greater(v[i], (*op)[i], basecoeffs()) ) |
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368 | return 1; |
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369 | else if (! n_Equal(v[i], (*op)[i], basecoeffs())) |
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370 | return -1; |
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371 | } |
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372 | |
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373 | for (; i<row; i++) |
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374 | { |
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375 | if ( n_GreaterZero(v[i], basecoeffs()) ) |
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376 | return 1; |
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377 | else if (! n_IsZero(v[i], basecoeffs()) ) |
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378 | return -1; |
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379 | } |
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380 | for (; i<op->rows(); i++) |
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381 | { |
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382 | if ( n_GreaterZero((*op)[i], basecoeffs()) ) |
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383 | return -1; |
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384 | else if (! n_IsZero((*op)[i], basecoeffs()) ) |
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385 | return 1; |
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386 | } |
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387 | return 0; |
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388 | } |
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389 | |
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390 | |
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391 | bigintmat * bimCopy(const bigintmat * b) |
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392 | { |
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393 | if (b == NULL) |
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394 | return NULL; |
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395 | |
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396 | return new bigintmat(b); |
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397 | } |
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398 | |
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399 | char* bigintmat::String() |
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400 | { |
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401 | assume (rows() > 0); |
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402 | assume (cols() > 0); |
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403 | |
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404 | StringSetS(""); |
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405 | const int l = cols()*rows(); |
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406 | |
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407 | n_Write(v[0], basecoeffs()); |
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408 | for (int i = 1; i < l; i++) |
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409 | { |
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410 | StringAppendS(","); n_Write(v[i], basecoeffs()); |
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411 | } |
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412 | /* if (i != col*row-1) |
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413 | { |
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414 | StringAppendS(","); |
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415 | if ((i+1)%col == 0) |
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416 | StringAppendS("\n"); |
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417 | } */ |
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418 | return StringAppendS(""); |
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419 | } |
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420 | |
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421 | int intArrSum(int * a, int length) |
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422 | { |
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423 | int sum = 0; |
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424 | for (int i=0; i<length; i++) |
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425 | sum += a[i]; |
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426 | return sum; |
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427 | } |
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428 | |
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429 | int findLongest(int * a, int length) |
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430 | { |
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431 | int l = 0; |
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432 | int index; |
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433 | for (int i=0; i<length; i++) |
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434 | { |
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435 | if (a[i] > l) |
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436 | { |
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437 | l = a[i]; |
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438 | index = i; |
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439 | } |
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440 | } |
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441 | return index; |
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442 | } |
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443 | |
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444 | int getShorter (int * a, int l, int j, int cols, int rows) |
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445 | { |
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446 | int sndlong = 0; |
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447 | int min; |
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448 | for (int i=0; i<rows; i++) |
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449 | { |
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450 | int index = cols*i+j; |
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451 | if ((a[index] > sndlong) && (a[index] < l)) |
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452 | { |
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453 | min = floor(log10(cols))+floor(log10(rows))+5; |
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454 | if ((a[index] < min) && (min < l)) |
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455 | sndlong = min; |
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456 | else |
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457 | sndlong = a[index]; |
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458 | } |
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459 | } |
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460 | if (sndlong == 0) |
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461 | { |
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462 | min = floor(log10(cols))+floor(log10(rows))+5; |
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463 | if (min < l) |
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464 | sndlong = min; |
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465 | else |
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466 | sndlong = 1; |
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467 | } |
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468 | return sndlong; |
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469 | } |
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470 | |
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471 | |
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472 | int * bigintmat::getwid(int maxwid) |
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473 | { |
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474 | int const c = /*2**/(col-1)+1; |
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475 | if (col + c > maxwid-1) return NULL; |
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476 | int * wv = (int*)omAlloc(sizeof(int)*col*row); |
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477 | int * cwv = (int*)omAlloc(sizeof(int)*col); |
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478 | for (int j=0; j<col; j++) |
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479 | { |
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480 | cwv[j] = 0; |
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481 | for (int i=0; i<row; i++) |
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482 | { |
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483 | StringSetS(""); |
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484 | n_Write(v[col*i+j], basecoeffs()); |
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485 | char * tmp = StringAppendS(""); |
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486 | const int _nl = strlen(tmp); |
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487 | wv[col*i+j] = _nl; |
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488 | if (_nl > cwv[j]) |
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489 | cwv[j]=_nl; |
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490 | } |
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491 | } |
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492 | |
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493 | // Groesse verkleinern, bis < maxwid |
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494 | while (intArrSum(cwv, col)+c > maxwid) |
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495 | { |
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496 | int j = findLongest(cwv, col); |
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497 | cwv[j] = getShorter(wv, cwv[j], j, col, row); |
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498 | } |
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499 | omFree(wv); |
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500 | return cwv; |
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501 | } |
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502 | |
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503 | void bigintmat::pprint(int maxwid) |
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504 | { |
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505 | if ((col==0) || (row==0)) |
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506 | PrintS(""); |
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507 | else |
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508 | { |
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509 | int * colwid = getwid(maxwid); |
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510 | if (colwid == NULL) |
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511 | { |
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512 | WerrorS("not enough space to print bigintmat"); |
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513 | return; |
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514 | } |
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515 | char * ps; |
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516 | int slength = 0; |
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517 | for (int j=0; j<col; j++) |
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518 | slength += colwid[j]*row; |
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519 | slength += col*row+row; |
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520 | ps = (char*) omAlloc0(sizeof(char)*(slength)); |
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521 | int pos = 0; |
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522 | for (int i=0; i<col*row; i++) |
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523 | { |
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524 | StringSetS(""); |
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525 | n_Write(v[i], basecoeffs()); |
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526 | char * temp = StringAppendS(""); |
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527 | char * ts = omStrDup(temp); |
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528 | const int _nl = strlen(ts); |
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529 | int cj = i%col; |
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530 | if (_nl > colwid[cj]) |
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531 | { |
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532 | StringSetS(""); |
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533 | int ci = floor(i/col); |
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534 | StringAppend("[%d,%d]", ci+1, cj+1); |
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535 | char *tmp = StringAppendS(""); |
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536 | char * ph = omStrDup(tmp); |
---|
537 | int phl = strlen(ph); |
---|
538 | if (phl > colwid[cj]) |
---|
539 | { |
---|
540 | for (int j=0; j<colwid[cj]-1; j++) |
---|
541 | ps[pos+j] = ' '; |
---|
542 | ps[pos+colwid[cj]-1] = '*'; |
---|
543 | } |
---|
544 | else |
---|
545 | { |
---|
546 | for (int j=0; j<colwid[cj]-phl; j++) |
---|
547 | ps[pos+j] = ' '; |
---|
548 | for (int j=0; j<phl; j++) |
---|
549 | ps[pos+colwid[cj]-phl+j] = ph[j]; |
---|
550 | } |
---|
551 | omFree(ph); |
---|
552 | } |
---|
553 | else // Mit Leerzeichen auffÃŒllen und zahl reinschreiben |
---|
554 | { |
---|
555 | for (int j=0; j<colwid[cj]-_nl; j++) |
---|
556 | ps[pos+j] = ' '; |
---|
557 | for (int j=0; j<_nl; j++) |
---|
558 | ps[pos+colwid[cj]-_nl+j] = ts[j]; |
---|
559 | } |
---|
560 | // ", " und (evtl) "\n" einfÃŒgen |
---|
561 | if ((i+1)%col == 0) |
---|
562 | { |
---|
563 | if (i != col*row-1) |
---|
564 | { |
---|
565 | ps[pos+colwid[cj]] = ','; |
---|
566 | ps[pos+colwid[cj]+1] = '\n'; |
---|
567 | pos += colwid[cj]+2; |
---|
568 | } |
---|
569 | } |
---|
570 | else |
---|
571 | { |
---|
572 | ps[pos+colwid[cj]] = ','; |
---|
573 | pos += colwid[cj]+1; |
---|
574 | } |
---|
575 | |
---|
576 | omFree(ts); // Hier ts zerstören |
---|
577 | } |
---|
578 | PrintS(ps); |
---|
579 | // omFree(ps); |
---|
580 | } |
---|
581 | } |
---|
582 | |
---|
583 | // Ungetestet |
---|
584 | static void bimRowContent(bigintmat *bimat, int rowpos, int colpos) |
---|
585 | { |
---|
586 | const coeffs basecoeffs = bimat->basecoeffs(); |
---|
587 | |
---|
588 | number tgcd, m; |
---|
589 | int i=bimat->cols(); |
---|
590 | |
---|
591 | loop |
---|
592 | { |
---|
593 | tgcd = n_Copy(BIMATELEM(*bimat,rowpos,i--), basecoeffs); |
---|
594 | if (! n_IsZero(tgcd, basecoeffs)) break; |
---|
595 | if (i<colpos) return; |
---|
596 | } |
---|
597 | if ((! n_GreaterZero(tgcd, basecoeffs)) && (! n_IsZero(tgcd, basecoeffs))) tgcd = n_Neg(tgcd, basecoeffs); |
---|
598 | if ( n_IsOne(tgcd,basecoeffs)) return; |
---|
599 | loop |
---|
600 | { |
---|
601 | m = n_Copy(BIMATELEM(*bimat,rowpos,i--), basecoeffs); |
---|
602 | if (! n_IsZero(m,basecoeffs)) |
---|
603 | { |
---|
604 | number tp1 = n_Gcd(tgcd, m, basecoeffs); |
---|
605 | n_Delete(&tgcd, basecoeffs); |
---|
606 | tgcd = tp1; |
---|
607 | } |
---|
608 | if ( n_IsOne(tgcd,basecoeffs)) return; |
---|
609 | if (i<colpos) break; |
---|
610 | } |
---|
611 | for (i=bimat->cols();i>=colpos;i--) |
---|
612 | { |
---|
613 | number tp2 = n_Div(BIMATELEM(*bimat,rowpos,i), tgcd,basecoeffs); |
---|
614 | n_Delete(&BIMATELEM(*bimat,rowpos,i), basecoeffs); |
---|
615 | BIMATELEM(*bimat,rowpos,i) = tp2; |
---|
616 | } |
---|
617 | n_Delete(&tgcd, basecoeffs); |
---|
618 | n_Delete(&m, basecoeffs); |
---|
619 | } |
---|
620 | |
---|
621 | static void bimReduce(bigintmat *bimat, int rpiv, int colpos, |
---|
622 | int ready, int all) |
---|
623 | { |
---|
624 | const coeffs basecoeffs = bimat->basecoeffs(); |
---|
625 | |
---|
626 | number tgcd, ce, m1, m2; |
---|
627 | int j, i; |
---|
628 | number piv = BIMATELEM(*bimat,rpiv,colpos); |
---|
629 | |
---|
630 | for (j=all;j>ready;j--) |
---|
631 | { |
---|
632 | ce = n_Copy(BIMATELEM(*bimat,j,colpos),basecoeffs); |
---|
633 | if (! n_IsZero(ce, basecoeffs)) |
---|
634 | { |
---|
635 | n_Delete(&BIMATELEM(*bimat,j,colpos), basecoeffs); |
---|
636 | BIMATELEM(*bimat,j,colpos) = n_Init(0, basecoeffs); |
---|
637 | m1 = n_Copy(piv,basecoeffs); |
---|
638 | m2 = n_Copy(ce,basecoeffs); |
---|
639 | tgcd = n_Gcd(m1, m2, basecoeffs); |
---|
640 | if (! n_IsOne(tgcd,basecoeffs)) |
---|
641 | { |
---|
642 | number tp1 = n_Div(m1, tgcd,basecoeffs); |
---|
643 | number tp2 = n_Div(m2, tgcd,basecoeffs); |
---|
644 | n_Delete(&m1, basecoeffs); |
---|
645 | n_Delete(&m2, basecoeffs); |
---|
646 | m1 = tp1; |
---|
647 | m2 = tp2; |
---|
648 | } |
---|
649 | for (i=bimat->cols();i>colpos;i--) |
---|
650 | { |
---|
651 | n_Delete(&BIMATELEM(*bimat,j,i), basecoeffs); |
---|
652 | number tp1 = n_Mult(BIMATELEM(*bimat,j,i), m1,basecoeffs); |
---|
653 | number tp2 = n_Mult(BIMATELEM(*bimat,rpiv,i), m2,basecoeffs); |
---|
654 | BIMATELEM(*bimat,j,i) = n_Sub(tp1, tp2,basecoeffs); |
---|
655 | n_Delete(&tp1, basecoeffs); |
---|
656 | n_Delete(&tp2, basecoeffs); |
---|
657 | } |
---|
658 | bimRowContent(bimat, j, colpos+1); |
---|
659 | n_Delete(&m1, basecoeffs); |
---|
660 | n_Delete(&m2, basecoeffs); |
---|
661 | } |
---|
662 | n_Delete(&ce, basecoeffs); |
---|
663 | } |
---|
664 | } |
---|
665 | |
---|
666 | |
---|
667 | |
---|
668 | |
---|
669 | |
---|