1 | #include <gmpxx.h> |
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2 | |
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3 | #include <polymake/Main.h> |
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4 | #include <polymake/Matrix.h> |
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5 | #include <polymake/Rational.h> |
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6 | #include <polymake/Integer.h> |
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7 | #include <polymake/Set.h> |
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8 | #include <polymake/common/lattice_tools.h> |
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9 | #include <polymake/IncidenceMatrix.h> |
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10 | |
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11 | #include <gfanlib/gfanlib.h> |
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12 | #include <gfanlib/gfanlib_q.h> |
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13 | |
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14 | #include <kernel/mod2.h> |
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15 | #include <libpolys/misc/intvec.h> |
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16 | #include <libpolys/coeffs/numbers.h> |
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17 | #include <libpolys/coeffs/bigintmat.h> |
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18 | #include <Singular/lists.h> |
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19 | #include <Singular/ipid.h> // for bigints, |
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20 | // is there really nothing better than this? |
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21 | |
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22 | /* Functions for converting Integers, Rationals and their Matrices |
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23 | in between C++, gfan, polymake and singular */ |
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24 | |
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25 | /* gfan -> polymake */ |
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26 | |
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27 | polymake::Integer GfInteger2PmInteger (const gfan::Integer& gi) |
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28 | { |
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29 | mpz_t cache; mpz_init(cache); |
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30 | gi.setGmp(cache); |
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31 | polymake::Integer pi(cache); |
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32 | return pi; |
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33 | } |
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34 | |
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35 | polymake::Rational GfRational2PmRational (const gfan::Rational& gr) |
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36 | { |
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37 | mpq_t cache; mpq_init(cache); |
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38 | gr.setGmp(cache); |
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39 | polymake::Rational pr(cache); |
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40 | return pr; |
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41 | } |
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42 | |
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43 | polymake::Vector<polymake::Integer> Intvec2PmVectorInteger (const intvec* iv) |
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44 | { |
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45 | polymake::Vector<polymake::Integer> vi(iv->length()); |
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46 | for(int i=1; i<=iv->length(); i++) |
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47 | { |
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48 | vi[i-1]=(*iv)[i-1]; |
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49 | } |
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50 | return vi; |
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51 | } |
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52 | |
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53 | polymake::Matrix<polymake::Integer> GfZMatrix2PmMatrixInteger (const gfan::ZMatrix* zm) |
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54 | { |
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55 | int rows=zm->getHeight(); |
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56 | int cols=zm->getWidth(); |
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57 | polymake::Matrix<polymake::Integer> mi(rows,cols); |
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58 | for(int r=1; r<=rows; r++) |
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59 | for(int c=1; c<=cols; c++) |
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60 | mi(r-1,c-1) = GfInteger2PmInteger((*zm)[r-1][c-1]); |
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61 | return mi; |
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62 | } |
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63 | |
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64 | polymake::Matrix<polymake::Rational> GfQMatrix2PmMatrixRational (const gfan::QMatrix* qm) |
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65 | { |
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66 | int rows=qm->getHeight(); |
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67 | int cols=qm->getWidth(); |
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68 | polymake::Matrix<polymake::Rational> mr(rows,cols); |
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69 | for(int r=1; r<=rows; r++) |
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70 | for(int c=1; c<=cols; c++) |
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71 | mr(r-1,c-1) = GfRational2PmRational((*qm)[r-1][c-1]); |
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72 | return mr; |
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73 | } |
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74 | |
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75 | /* gfan <- polymake */ |
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76 | |
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77 | gfan::Integer PmInteger2GfInteger (const polymake::Integer& pi) |
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78 | { |
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79 | mpz_class cache(pi.get_rep()); |
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80 | gfan::Integer gi(cache.get_mpz_t()); |
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81 | return gi; |
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82 | } |
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83 | |
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84 | gfan::Rational PmRational2GfRational (const polymake::Rational& pr) |
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85 | { |
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86 | mpq_class cache(pr.get_rep()); |
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87 | gfan::Rational gr(cache.get_mpq_t()); |
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88 | return gr; |
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89 | } |
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90 | |
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91 | gfan::ZMatrix PmMatrixInteger2GfZMatrix (const polymake::Matrix<polymake::Integer>* mi) |
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92 | { |
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93 | int rows=mi->rows(); |
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94 | int cols=mi->cols(); |
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95 | gfan::ZMatrix zm(rows,cols); |
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96 | for(int r=1; r<=rows; r++) |
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97 | for(int c=1; c<=cols; c++) |
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98 | zm[r-1][c-1] = PmInteger2GfInteger((*mi)(r-1,c-1)); |
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99 | return zm; |
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100 | } |
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101 | |
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102 | gfan::QMatrix PmMatrixRational2GfQMatrix (const polymake::Matrix<polymake::Rational>* mr) |
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103 | { |
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104 | int rows=mr->rows(); |
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105 | int cols=mr->cols(); |
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106 | gfan::QMatrix qm(rows,cols); |
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107 | for(int r=1; r<=rows; r++) |
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108 | for(int c=1; c<=cols; c++) |
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109 | qm[r-1][c-1] = PmRational2GfRational((*mr)(r-1,c-1)); |
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110 | return qm; |
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111 | } |
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112 | |
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113 | /* polymake -> singular */ |
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114 | |
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115 | int PmInteger2Int(const polymake::Integer& pi, bool &ok) |
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116 | { |
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117 | int i=0; |
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118 | try |
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119 | { |
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120 | i = pi.to_int(); |
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121 | } |
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122 | catch (const std::exception& ex) |
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123 | { |
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124 | WerrorS("ERROR: "); WerrorS(ex.what()); WerrorS("\n"); |
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125 | ok = false; |
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126 | } |
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127 | return i; |
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128 | } |
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129 | |
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130 | number PmInteger2Number (const polymake::Integer& pi) |
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131 | { |
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132 | mpz_class cache(pi.get_rep()); |
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133 | long m = 268435456; |
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134 | if(mpz_cmp_si(cache.get_mpz_t(),m)) |
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135 | { |
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136 | int temp = (int) mpz_get_si(cache.get_mpz_t()); |
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137 | return n_Init(temp,coeffs_BIGINT); |
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138 | } |
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139 | else |
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140 | return n_InitMPZ(cache.get_mpz_t(),coeffs_BIGINT); |
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141 | } |
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142 | |
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143 | intvec* PmVectorInteger2Intvec (const polymake::Vector<polymake::Integer>* vi, bool &ok) |
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144 | { |
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145 | intvec* iv = new intvec(vi->size()); |
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146 | for(int i=1; i<=vi->size(); i++) |
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147 | { |
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148 | (*iv)[i-1] = PmInteger2Int((*vi)[i-1],ok); |
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149 | } |
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150 | return iv; |
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151 | } |
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152 | |
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153 | intvec* PmMatrixInteger2Intvec (polymake::Matrix<polymake::Integer>* mi, bool &ok) |
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154 | { |
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155 | int rows = mi->rows(); |
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156 | int cols = mi->cols(); |
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157 | intvec* iv = new intvec(rows,cols,0); |
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158 | const polymake::Integer* pi = concat_rows(*mi).begin(); |
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159 | for (int r = 1; r <= rows; r++) |
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160 | for (int c = 1; c <= cols; c++) |
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161 | { |
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162 | IMATELEM(*iv,r,c) = PmInteger2Int(*pi, ok); |
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163 | pi++; |
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164 | } |
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165 | return iv; |
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166 | } |
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167 | |
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168 | bigintmat* PmMatrixInteger2Bigintmat (polymake::Matrix<polymake::Integer>* mi) |
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169 | { |
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170 | int rows = mi->rows(); |
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171 | int cols = mi->cols(); |
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172 | bigintmat* bim= new bigintmat(rows,cols,coeffs_BIGINT); |
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173 | const polymake::Integer* pi = concat_rows(*mi).begin(); |
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174 | for (int r = 1; r <= rows; r++) |
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175 | for (int c = 1; c <= cols; c++) |
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176 | { |
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177 | number temp = PmInteger2Number(*pi); |
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178 | bim->set(r,c,temp); |
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179 | n_Delete(&temp,coeffs_BIGINT); |
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180 | pi++; |
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181 | } |
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182 | return bim; |
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183 | } |
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184 | |
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185 | lists PmIncidenceMatrix2ListOfIntvecs (polymake::IncidenceMatrix<polymake::NonSymmetric>* icmat) |
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186 | { |
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187 | int rows = icmat->rows(); |
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188 | int cols = icmat->cols(); |
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189 | lists L = (lists)omAllocBin(slists_bin); |
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190 | L->Init(rows); |
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191 | |
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192 | for (int r = 0; r < rows; r++) |
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193 | { |
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194 | intvec* iv = new intvec(cols); int i=0; |
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195 | for (int c = 0; c < cols; c++) |
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196 | { |
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197 | if ((*icmat).row(r).exists(c)) |
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198 | { (*iv)[i]=c; i++; } |
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199 | } |
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200 | iv->resize(i); |
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201 | L->m[r].rtyp = INTVEC_CMD; |
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202 | L->m[r].data = (void*) iv; |
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203 | } |
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204 | |
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205 | return L; |
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206 | } |
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207 | |
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208 | lists PmAdjacencyMatrix2ListOfEdges (polymake::IncidenceMatrix<polymake::NonSymmetric>* icmat) |
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209 | { |
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210 | int rows = icmat->rows(); |
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211 | int cols = icmat->cols(); |
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212 | |
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213 | // counting number of edges |
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214 | int i=0; int r, c; |
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215 | for (r=0; r<rows; r++) |
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216 | { |
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217 | for (c=0; c<cols; c++) |
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218 | { |
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219 | if ((*icmat).row(r).exists(c) && r<c) |
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220 | i++; |
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221 | } |
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222 | } |
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223 | |
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224 | lists L = (lists)omAllocBin(slists_bin); |
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225 | L->Init(i); |
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226 | |
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227 | i=0; |
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228 | for (r=0; r<rows; r++) |
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229 | { |
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230 | for (c=0; c<cols; c++) |
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231 | { |
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232 | if ((*icmat).row(r).exists(c) && r<c) |
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233 | { |
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234 | intvec* iv = new intvec(2); |
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235 | (*iv)[0]=r; (*iv)[1]=c; |
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236 | L->m[i].rtyp = INTVEC_CMD; |
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237 | L->m[i].data = (void*) iv; |
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238 | i++; |
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239 | } |
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240 | } |
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241 | } |
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242 | |
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243 | return L; |
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244 | } |
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245 | |
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246 | intvec* PmSetInteger2Intvec (polymake::Set<polymake::Integer>* si, bool &b) |
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247 | { |
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248 | polymake::Vector<polymake::Integer> vi(*si); |
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249 | return PmVectorInteger2Intvec(&vi,b); |
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250 | } |
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251 | |
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252 | /* polymake <- singular */ |
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253 | |
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254 | polymake::Matrix<polymake::Integer> Intvec2PmMatrixInteger (const intvec* im) |
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255 | { |
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256 | int rows=im->rows(); |
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257 | int cols=im->cols(); |
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258 | polymake::Matrix<polymake::Integer> mi(rows,cols); |
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259 | for(int r=0; r<rows; r++) |
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260 | for(int c=0; c<cols; c++) |
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261 | mi(r,c) = polymake::Integer(IMATELEM(*im, r+1, c+1)); |
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262 | return mi; |
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263 | } |
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264 | |
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265 | /* Functions for converting cones and fans in between gfan and polymake, |
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266 | Singular shares the same cones and fans with gfan */ |
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267 | |
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268 | gfan::ZCone* PmCone2ZCone (polymake::perl::Object* pc) |
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269 | { |
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270 | if (pc->isa("Cone")) |
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271 | { |
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272 | polymake::Integer ambientdim1 = pc->give("CONE_AMBIENT_DIM"); |
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273 | bool ok=true; int ambientdim2 = PmInteger2Int(ambientdim1, ok); |
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274 | if (!ok) |
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275 | { |
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276 | WerrorS("PmCone2ZCone: overflow while converting polymake::Integer to int"); |
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277 | } |
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278 | polymake::Matrix<polymake::Rational> ineqrational = pc->give("FACETS"); |
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279 | polymake::Matrix<polymake::Rational> eqrational = pc->give("LINEAR_SPAN"); |
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280 | // polymake::Matrix<polymake::Rational> exraysrational = pc->give("RAYS"); |
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281 | // polymake::Matrix<polymake::Rational> linrational = pc->give("LINEALITY_SPACE"); |
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282 | |
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283 | gfan::ZMatrix zv, zw, zx, zy, zz; |
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284 | // the following branching statements are to cover cases in which polymake returns empty matrices |
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285 | // by convention, gfanlib ignores empty matrices, hence zero matrices of right dimensions have to be supplied |
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286 | if (ineqrational.cols()!=0) |
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287 | { |
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288 | polymake::Matrix<polymake::Integer> ineqinteger = polymake::common::primitive(ineqrational); |
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289 | zv = PmMatrixInteger2GfZMatrix(&ineqinteger); |
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290 | } |
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291 | else |
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292 | zv = gfan::ZMatrix(0, ambientdim2); |
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293 | if (eqrational.cols()!=0) |
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294 | { |
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295 | polymake::Matrix<polymake::Integer> eqinteger = polymake::common::primitive(eqrational); |
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296 | zw = PmMatrixInteger2GfZMatrix(&eqinteger); |
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297 | } |
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298 | else |
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299 | zw = gfan::ZMatrix(0, ambientdim2); |
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300 | // if (exraysrational.cols()!=0) |
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301 | // { |
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302 | // polymake::Matrix<polymake::Integer> exraysinteger = polymake::common::primitive(exraysrational); |
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303 | // zx = PmMatrixInteger2GfZMatrix(&exraysinteger); |
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304 | // } |
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305 | // else |
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306 | // zx = gfan::ZMatrix(0, ambientdim2); |
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307 | // if (linrational.cols()!=0) |
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308 | // { |
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309 | // polymake::Matrix<polymake::Integer> lininteger = polymake::common::primitive(linrational); |
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310 | // zy = PmMatrixInteger2GfZMatrix(&lininteger); |
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311 | // } |
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312 | // else |
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313 | // zy = gfan::ZMatrix(0, ambientdim2); |
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314 | |
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315 | // gfan::ZCone* zc = new gfan::ZCone(zv,zw,zx,zy,zz,3); |
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316 | gfan::ZCone* zc = new gfan::ZCone(zv,zw,3); |
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317 | return zc; |
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318 | } |
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319 | WerrorS("PmCone2ZCone: unexpected parameters"); |
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320 | return NULL; |
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321 | } |
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322 | |
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323 | gfan::ZCone* PmPolytope2ZPolytope (polymake::perl::Object* pp) |
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324 | { |
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325 | if (pp->isa("Polytope<Rational>")) |
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326 | { |
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327 | polymake::Integer ambientdim1 = pp->give("CONE_AMBIENT_DIM"); |
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328 | bool ok=true; int ambientdim2 = PmInteger2Int(ambientdim1, ok); |
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329 | if (!ok) |
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330 | { |
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331 | WerrorS("overflow while converting polymake::Integer to int"); |
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332 | } |
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333 | polymake::Matrix<polymake::Rational> ineqrational = pp->give("FACETS"); |
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334 | polymake::Matrix<polymake::Rational> eqrational = pp->give("AFFINE_HULL"); |
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335 | // polymake::Matrix<polymake::Rational> vertrational = pp->give("VERTICES"); |
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336 | // polymake::Matrix<polymake::Rational> linrational = pp->give("LINEALITY_SPACE"); |
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337 | |
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338 | gfan::ZMatrix zv, zw; |
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339 | // the following branching statements are to cover the cases when polymake returns empty matrices |
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340 | // by convention, gfanlib ignores empty matrices, hence zero matrices of right dimensions have to be supplied |
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341 | if (ineqrational.cols()!=0) |
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342 | { |
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343 | polymake::Matrix<polymake::Integer> ineqinteger = polymake::common::primitive(ineqrational); |
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344 | zv = PmMatrixInteger2GfZMatrix(&ineqinteger); |
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345 | } |
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346 | else |
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347 | zv = gfan::ZMatrix(0, ambientdim2); |
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348 | |
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349 | if (eqrational.cols()!=0) |
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350 | { |
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351 | polymake::Matrix<polymake::Integer> eqinteger = polymake::common::primitive(eqrational); |
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352 | zw = PmMatrixInteger2GfZMatrix(&eqinteger); |
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353 | } |
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354 | else |
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355 | zw = gfan::ZMatrix(0, ambientdim2); |
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356 | |
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357 | // if (vertrational.cols()!=0) |
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358 | // { |
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359 | // polymake::Matrix<polymake::Integer> vertinteger = polymake::common::primitive(vertrational); |
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360 | // zx = PmMatrixInteger2GfZMatrix(&vertinteger); |
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361 | // } |
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362 | // else |
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363 | // zx = gfan::ZMatrix(0, ambientdim2); |
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364 | // if (linrational.cols()!=0) |
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365 | // { |
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366 | // polymake::Matrix<polymake::Integer> lininteger = polymake::common::primitive(linrational); |
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367 | // zy = PmMatrixInteger2GfZMatrix(&lininteger); |
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368 | // } |
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369 | // else |
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370 | // zy = gfan::ZMatrix(0, ambientdim2); |
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371 | |
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372 | // gfan::ZCone* zp = new gfan::ZCone(zv,zw,zx,zy,zz,3); |
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373 | gfan::ZCone* zp = new gfan::ZCone(zv,zw,3); |
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374 | |
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375 | return zp; |
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376 | } |
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377 | WerrorS("PmPolytope2ZPolytope: unexpected parameters"); |
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378 | return NULL; |
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379 | } |
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380 | |
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381 | gfan::ZFan* PmFan2ZFan (polymake::perl::Object* pf) |
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382 | { |
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383 | if (pf->isa("PolyhedralFan")) |
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384 | { |
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385 | int d = (int) pf->give("FAN_AMBIENT_DIM"); |
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386 | gfan::ZFan* zf = new gfan::ZFan(d); |
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387 | |
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388 | int n = pf->give("N_MAXIMAL_CONES"); |
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389 | for (int i=0; i<n; i++) |
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390 | { |
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391 | polymake::perl::Object pmcone=pf->CallPolymakeMethod("cone",i); |
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392 | gfan::ZCone* zc=PmCone2ZCone(&pmcone); |
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393 | zf->insert(*zc); |
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394 | } |
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395 | return zf; |
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396 | } |
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397 | WerrorS("PmFan2ZFan: unexpected parameters"); |
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398 | return NULL; |
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399 | } |
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400 | |
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401 | polymake::perl::Object* ZCone2PmCone (gfan::ZCone* zc) |
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402 | { |
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403 | polymake::perl::Object* gc = new polymake::perl::Object("Cone<Rational>"); |
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404 | |
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405 | gfan::ZMatrix inequalities = zc->getInequalities(); |
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406 | gc->take("FACETS") << GfZMatrix2PmMatrixInteger(&inequalities); |
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407 | |
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408 | gfan::ZMatrix equations = zc->getEquations(); |
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409 | gc->take("LINEAR_SPAN") << GfZMatrix2PmMatrixInteger(&equations); |
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410 | |
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411 | // if(zc->areExtremeRaysKnown()) |
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412 | // { |
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413 | // gfan::ZMatrix extremeRays = zc->extremeRays(); |
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414 | // gc->take("RAYS") << GfZMatrix2PmMatrixInteger(&extremeRays); |
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415 | // } |
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416 | |
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417 | // if(zc->areGeneratorsOfLinealitySpaceKnown()) |
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418 | // { |
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419 | // gfan::ZMatrix lineality = zc->generatorsOfLinealitySpace(); |
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420 | // gc->take("LINEALITY_SPACE") << GfZMatrix2PmMatrixInteger(&lineality); |
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421 | // } |
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422 | |
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423 | return gc; |
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424 | } |
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425 | |
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426 | polymake::perl::Object* ZPolytope2PmPolytope (gfan::ZCone* zc) |
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427 | { |
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428 | polymake::perl::Object* pp = new polymake::perl::Object("Polytope<Rational>"); |
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429 | |
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430 | gfan::ZMatrix inequalities = zc->getInequalities(); |
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431 | pp->take("FACETS") << GfZMatrix2PmMatrixInteger(&inequalities); |
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432 | |
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433 | gfan::ZMatrix equations = zc->getEquations(); |
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434 | pp->take("LINEAR_SPAN") << GfZMatrix2PmMatrixInteger(&equations); |
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435 | |
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436 | // if(zc->areExtremeRaysKnown()) |
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437 | // { |
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438 | // gfan::ZMatrix vertices = zc->extremeRays(); |
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439 | // pp->take("VERTICES") << GfZMatrix2PmMatrixInteger(&vertices); |
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440 | // } |
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441 | |
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442 | return pp; |
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443 | } |
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444 | |
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445 | polymake::Matrix<polymake::Integer> raysOf(gfan::ZFan* zf) |
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446 | { |
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447 | int d = zf->getAmbientDimension(); |
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448 | int n = zf->numberOfConesOfDimension(1,0,0); |
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449 | gfan::ZMatrix zm(n,d); |
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450 | |
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451 | for (int i=0; i<n; i++) |
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452 | { |
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453 | gfan::ZCone zc = zf->getCone(1,i,0,0); |
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454 | gfan::ZMatrix ray = zc.extremeRays(); |
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455 | for (int j=0; j<d; j++) |
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456 | { |
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457 | zm[i][j]=ray[0][j]; |
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458 | } |
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459 | } |
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460 | |
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461 | return GfZMatrix2PmMatrixInteger(&zm); |
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462 | } |
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463 | |
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464 | int numberOfRaysOf(gfan::ZFan* zf) |
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465 | { |
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466 | int n = zf->numberOfConesOfDimension(1,0,0); |
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467 | return n; |
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468 | } |
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469 | |
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470 | int numberOfMaximalConesOf(gfan::ZFan* zf) |
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471 | { |
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472 | int d = zf->getAmbientDimension(); |
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473 | int n = 0; |
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474 | |
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475 | for (int i=0; i<=d; i++) |
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476 | { |
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477 | n = n + zf->numberOfConesOfDimension(i,0,1); |
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478 | } |
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479 | |
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480 | return n; |
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481 | } |
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482 | |
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483 | polymake::Array<polymake::Set<int> > conesOf(gfan::ZFan* zf) |
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484 | { |
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485 | int r = numberOfMaximalConesOf(zf); |
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486 | |
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487 | polymake::Matrix<polymake::Integer> pm=raysOf(zf); |
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488 | polymake::Array<polymake::Set<int> > L(r); |
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489 | |
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490 | int ii = 0; |
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491 | for (int d=1; d<=zf->getAmbientDimension(); d++) |
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492 | { |
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493 | for (int i=0; i<zf->numberOfConesOfDimension(d,0,1); i++) |
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494 | { |
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495 | gfan::IntVector v = zf->getConeIndices(d,i,0,1); |
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496 | polymake::Set<int> s; |
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497 | for (int j=0; j<(int)v.size(); j++) |
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498 | { |
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499 | s = s+v[j]; |
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500 | } |
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501 | L[ii] = s; |
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502 | ii = ii + 1; |
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503 | } |
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504 | } |
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505 | return L; |
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506 | } |
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507 | |
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508 | polymake::perl::Object* ZFan2PmFan (gfan::ZFan* zf) |
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509 | { |
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510 | polymake::perl::Object* pf = new polymake::perl::Object("PolyhedralFan"); |
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511 | |
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512 | polymake::Matrix<polymake::Integer> zm = raysOf(zf); |
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513 | pf->take("RAYS") << zm; // using rays here instead of INPUT_RAYS prevents redundant computations |
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514 | |
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515 | polymake::Array<polymake::Set<int> > ar = conesOf(zf); |
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516 | pf->take("MAXIMAL_CONES") << ar; |
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517 | |
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518 | return pf; |
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519 | } |
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