1 | #include <kernel/mod2.h> |
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2 | |
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3 | #if HAVE_GFANLIB |
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4 | |
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5 | #include <Singular/ipid.h> |
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6 | #include <Singular/ipshell.h> |
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7 | #include <Singular/blackbox.h> |
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8 | #include <misc/intvec.h> |
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9 | #include <coeffs/bigintmat.h> |
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10 | |
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11 | #include <callgfanlib_conversion.h> |
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12 | #include <sstream> |
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13 | |
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14 | #include <gfanlib/gfanlib.h> |
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15 | #include <gfanlib/gfanlib_q.h> |
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16 | |
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17 | int polytopeID; |
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18 | |
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19 | std::string bbpolytopeToString(gfan::ZCone const &c) |
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20 | { |
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21 | std::stringstream s; |
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22 | gfan::ZMatrix i=c.getInequalities(); |
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23 | gfan::ZMatrix e=c.getEquations(); |
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24 | s<<"AMBIENT_DIM"<<std::endl; |
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25 | s<<c.ambientDimension()-1<<std::endl; |
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26 | s<<"INEQUALITIES"<<std::endl; |
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27 | s<<toString(i)<<std::endl; |
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28 | s<<"EQUATIONS"<<std::endl; |
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29 | s<<toString(e)<<std::endl; |
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30 | return s.str(); |
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31 | } |
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32 | |
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33 | void *bbpolytope_Init(blackbox* /*b*/) |
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34 | { |
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35 | return (void*)(new gfan::ZCone()); |
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36 | } |
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37 | |
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38 | BOOLEAN bbpolytope_Assign(leftv l, leftv r) |
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39 | { |
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40 | gfan::ZCone* newZc; |
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41 | if (r==NULL) |
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42 | { |
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43 | if (l->Data()!=NULL) |
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44 | { |
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45 | gfan::ZCone* zd = (gfan::ZCone*)l->Data(); |
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46 | delete zd; |
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47 | } |
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48 | newZc = new gfan::ZCone(); |
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49 | } |
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50 | else if (r->Typ()==l->Typ()) |
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51 | { |
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52 | if (l->Data()!=NULL) |
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53 | { |
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54 | gfan::ZCone* zd = (gfan::ZCone*)l->Data(); |
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55 | delete zd; |
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56 | } |
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57 | gfan::ZCone* zc = (gfan::ZCone*)r->Data(); |
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58 | newZc = new gfan::ZCone(*zc); |
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59 | } |
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60 | // else if (r->Typ()==INT_CMD) TODO:r->Typ()==BIGINTMAT_CMD |
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61 | // { |
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62 | // int ambientDim = (int)(long)r->Data(); |
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63 | // if (ambientDim < 0) |
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64 | // { |
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65 | // Werror("expected an int >= 0, but got %d", ambientDim); |
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66 | // return TRUE; |
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67 | // } |
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68 | // if (l->Data()!=NULL) |
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69 | // { |
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70 | // gfan::ZCone* zd = (gfan::ZCone*)l->Data(); |
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71 | // delete zd; |
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72 | // } |
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73 | // newZc = new gfan::ZCone(ambientDim); |
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74 | // } |
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75 | else |
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76 | { |
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77 | Werror("assign Type(%d) = Type(%d) not implemented",l->Typ(),r->Typ()); |
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78 | return TRUE; |
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79 | } |
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80 | |
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81 | if (l->rtyp==IDHDL) |
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82 | { |
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83 | IDDATA((idhdl)l->data) = (char*) newZc; |
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84 | } |
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85 | else |
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86 | { |
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87 | l->data=(void *)newZc; |
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88 | } |
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89 | return FALSE; |
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90 | } |
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91 | |
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92 | char* bbpolytope_String(blackbox* /*b*/, void *d) |
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93 | { if (d==NULL) return omStrDup("invalid object"); |
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94 | else |
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95 | { |
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96 | gfan::ZCone* zc = (gfan::ZCone*)d; |
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97 | std::string s=bbpolytopeToString(*zc); |
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98 | return omStrDup(s.c_str()); |
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99 | } |
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100 | } |
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101 | |
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102 | void bbpolytope_destroy(blackbox* /*b*/, void *d) |
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103 | { |
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104 | if (d!=NULL) |
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105 | { |
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106 | gfan::ZCone* zc = (gfan::ZCone*) d; |
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107 | delete zc; |
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108 | } |
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109 | } |
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110 | |
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111 | void* bbpolytope_Copy(blackbox* /*b*/, void *d) |
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112 | { |
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113 | gfan::ZCone* zc = (gfan::ZCone*)d; |
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114 | gfan::ZCone* newZc = new gfan::ZCone(*zc); |
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115 | return newZc; |
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116 | } |
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117 | |
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118 | static BOOLEAN ppCONERAYS1(leftv res, leftv v) |
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119 | { |
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120 | /* method for generating a cone object from half-lines |
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121 | (cone = convex hull of the half-lines; note: there may be |
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122 | entire lines in the cone); |
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123 | valid parametrizations: (bigintmat) */ |
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124 | bigintmat* rays = NULL; |
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125 | if (v->Typ() == INTMAT_CMD) |
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126 | { |
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127 | intvec* rays0 = (intvec*) v->Data(); |
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128 | rays = iv2bim(rays0,coeffs_BIGINT); |
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129 | } |
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130 | else |
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131 | rays = (bigintmat*) v->Data(); |
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132 | |
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133 | gfan::ZMatrix* zm = bigintmatToZMatrix(rays); |
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134 | gfan::ZCone* zc = new gfan::ZCone(); |
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135 | *zc = gfan::ZCone::givenByRays(*zm, gfan::ZMatrix(0, zm->getWidth())); |
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136 | res->rtyp = polytopeID; |
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137 | res->data = (void*) zc; |
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138 | |
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139 | delete zm; |
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140 | if (v->Typ() == INTMAT_CMD) |
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141 | delete rays; |
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142 | return FALSE; |
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143 | } |
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144 | |
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145 | static BOOLEAN ppCONERAYS3(leftv res, leftv u, leftv v) |
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146 | { |
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147 | /* method for generating a cone object from half-lines |
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148 | (any point in the cone being the sum of a point |
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149 | in the convex hull of the half-lines and a point in the span |
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150 | of the lines), and an integer k; |
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151 | valid parametrizations: (bigintmat, int); |
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152 | Errors will be invoked in the following cases: |
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153 | - k not 0 or 1; |
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154 | if the k=1, then the extreme rays are known: |
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155 | each half-line spans a (different) extreme ray */ |
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156 | bigintmat* rays = NULL; |
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157 | if (u->Typ() == INTMAT_CMD) |
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158 | { |
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159 | intvec* rays0 = (intvec*) u->Data(); |
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160 | rays = iv2bim(rays0,coeffs_BIGINT); |
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161 | } |
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162 | else |
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163 | rays = (bigintmat*) u->Data(); |
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164 | int k = (int)(long)v->Data(); |
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165 | |
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166 | if ((k < 0) || (k > 1)) |
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167 | { |
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168 | WerrorS("expected int argument in [0..1]"); |
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169 | return TRUE; |
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170 | } |
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171 | k=k*2; |
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172 | gfan::ZMatrix* zm = bigintmatToZMatrix(rays); |
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173 | gfan::ZCone* zc = new gfan::ZCone(); |
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174 | *zc = gfan::ZCone::givenByRays(*zm,gfan::ZMatrix(0, zm->getWidth())); |
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175 | //k should be passed on to zc; not available yet |
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176 | res->rtyp = polytopeID; |
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177 | res->data = (void*) zc; |
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178 | |
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179 | delete zm; |
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180 | if (v->Typ() == INTMAT_CMD) |
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181 | delete rays; |
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182 | return FALSE; |
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183 | } |
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184 | |
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185 | BOOLEAN polytopeViaVertices(leftv res, leftv args) |
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186 | { |
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187 | gfan::initializeCddlibIfRequired(); |
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188 | leftv u = args; |
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189 | if ((u != NULL) && ((u->Typ() == BIGINTMAT_CMD) || (u->Typ() == INTMAT_CMD))) |
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190 | { |
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191 | if (u->next == NULL) return ppCONERAYS1(res, u); |
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192 | leftv v = u->next; |
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193 | if ((v != NULL) && (v->Typ() == INT_CMD)) |
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194 | { |
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195 | if (v->next == NULL) return ppCONERAYS3(res, u, v); |
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196 | } |
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197 | } |
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198 | WerrorS("polytopeViaPoints: unexpected parameters"); |
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199 | return TRUE; |
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200 | } |
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201 | |
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202 | static BOOLEAN ppCONENORMALS1(leftv res, leftv v) |
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203 | { |
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204 | /* method for generating a cone object from inequalities; |
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205 | valid parametrizations: (bigintmat) */ |
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206 | bigintmat* ineq = NULL; |
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207 | if (v->Typ() == INTMAT_CMD) |
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208 | { |
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209 | intvec* ineq0 = (intvec*) v->Data(); |
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210 | ineq = iv2bim(ineq0,coeffs_BIGINT); |
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211 | } |
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212 | else |
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213 | ineq = (bigintmat*) v->Data(); |
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214 | gfan::ZMatrix* zm = bigintmatToZMatrix(ineq); |
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215 | gfan::ZCone* zc = new gfan::ZCone(*zm, gfan::ZMatrix(0, zm->getWidth())); |
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216 | delete zm; |
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217 | if (v->Typ() == INTMAT_CMD) |
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218 | delete ineq; |
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219 | res->rtyp = polytopeID; |
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220 | res->data = (void*) zc; |
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221 | return FALSE; |
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222 | } |
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223 | |
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224 | static BOOLEAN ppCONENORMALS2(leftv res, leftv u, leftv v) |
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225 | { |
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226 | /* method for generating a cone object from iequalities, |
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227 | and equations (...) |
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228 | valid parametrizations: (bigintmat, bigintmat) |
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229 | Errors will be invoked in the following cases: |
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230 | - u and v have different numbers of columns */ |
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231 | bigintmat* ineq = NULL; bigintmat* eq = NULL; |
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232 | if (u->Typ() == INTMAT_CMD) |
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233 | { |
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234 | intvec* ineq0 = (intvec*) u->Data(); |
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235 | ineq = iv2bim(ineq0,coeffs_BIGINT); |
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236 | } |
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237 | else |
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238 | ineq = (bigintmat*) u->Data(); |
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239 | if (v->Typ() == INTMAT_CMD) |
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240 | { |
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241 | intvec* eq0 = (intvec*) v->Data(); |
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242 | eq = iv2bim(eq0,coeffs_BIGINT); |
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243 | } |
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244 | else |
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245 | eq = (bigintmat*) v->Data(); |
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246 | |
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247 | if (ineq->cols() != eq->cols()) |
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248 | { |
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249 | Werror("expected same number of columns but got %d vs. %d", |
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250 | ineq->cols(), eq->cols()); |
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251 | return TRUE; |
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252 | } |
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253 | gfan::ZMatrix* zm1 = bigintmatToZMatrix(ineq); |
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254 | gfan::ZMatrix* zm2 = bigintmatToZMatrix(eq); |
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255 | gfan::ZCone* zc = new gfan::ZCone(*zm1, *zm2); |
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256 | delete zm1; |
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257 | delete zm2; |
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258 | if (u->Typ() == INTMAT_CMD) |
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259 | delete ineq; |
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260 | if (v->Typ() == INTMAT_CMD) |
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261 | delete eq; |
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262 | |
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263 | res->rtyp = polytopeID; |
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264 | res->data = (void*) zc; |
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265 | return FALSE; |
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266 | } |
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267 | |
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268 | static BOOLEAN ppCONENORMALS3(leftv res, leftv u, leftv v, leftv w) |
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269 | { |
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270 | /* method for generating a cone object from inequalities, equations, |
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271 | and an integer k; |
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272 | valid parametrizations: (bigintmat, bigintmat, int); |
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273 | Errors will be invoked in the following cases: |
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274 | - u and v have different numbers of columns, |
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275 | - k not in [0..3]; |
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276 | if the 2^0-bit of k is set, then ... */ |
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277 | bigintmat* ineq = NULL; bigintmat* eq = NULL; |
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278 | if (u->Typ() == INTMAT_CMD) |
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279 | { |
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280 | intvec* ineq0 = (intvec*) u->Data(); |
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281 | ineq = iv2bim(ineq0,coeffs_BIGINT); |
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282 | } |
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283 | else |
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284 | ineq = (bigintmat*) u->Data(); |
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285 | if (v->Typ() == INTMAT_CMD) |
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286 | { |
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287 | intvec* eq0 = (intvec*) v->Data(); |
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288 | eq = iv2bim(eq0,coeffs_BIGINT); |
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289 | } |
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290 | else |
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291 | eq = (bigintmat*) v->Data(); |
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292 | |
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293 | if (ineq->cols() != eq->cols()) |
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294 | { |
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295 | Werror("expected same number of columns but got %d vs. %d", |
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296 | ineq->cols(), eq->cols()); |
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297 | return TRUE; |
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298 | } |
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299 | int k = (int)(long)w->Data(); |
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300 | if ((k < 0) || (k > 3)) |
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301 | { |
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302 | WerrorS("expected int argument in [0..3]"); |
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303 | return TRUE; |
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304 | } |
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305 | gfan::ZMatrix* zm1 = bigintmatToZMatrix(ineq); |
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306 | gfan::ZMatrix* zm2 = bigintmatToZMatrix(eq); |
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307 | gfan::ZCone* zc = new gfan::ZCone(*zm1, *zm2, k); |
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308 | delete zm1; |
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309 | delete zm2; |
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310 | if (u->Typ() == INTMAT_CMD) |
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311 | delete ineq; |
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312 | if (v->Typ() == INTMAT_CMD) |
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313 | delete eq; |
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314 | |
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315 | res->rtyp = polytopeID; |
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316 | res->data = (void*) zc; |
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317 | return FALSE; |
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318 | } |
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319 | |
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320 | BOOLEAN polytopeViaNormals(leftv res, leftv args) |
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321 | { |
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322 | gfan::initializeCddlibIfRequired(); |
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323 | leftv u = args; |
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324 | if ((u != NULL) && ((u->Typ() == BIGINTMAT_CMD) || (u->Typ() == INTMAT_CMD))) |
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325 | { |
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326 | if (u->next == NULL) return ppCONENORMALS1(res, u); |
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327 | } |
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328 | leftv v = u->next; |
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329 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTMAT_CMD))) |
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330 | { |
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331 | if (v->next == NULL) return ppCONENORMALS2(res, u, v); |
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332 | } |
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333 | leftv w = v->next; |
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334 | if ((w != NULL) && (w->Typ() == INT_CMD)) |
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335 | { |
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336 | if (w->next == NULL) return ppCONENORMALS3(res, u, v, w); |
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337 | } |
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338 | WerrorS("polytopeViaInequalities: unexpected parameters"); |
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339 | return TRUE; |
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340 | } |
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341 | |
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342 | BOOLEAN vertices(leftv res, leftv args) |
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343 | { |
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344 | gfan::initializeCddlibIfRequired(); |
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345 | leftv u = args; |
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346 | if ((u != NULL) && (u->Typ() == polytopeID)) |
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347 | { |
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348 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
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349 | gfan::ZMatrix zmat = zc->extremeRays(); |
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350 | res->rtyp = BIGINTMAT_CMD; |
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351 | res->data = (void*)zMatrixToBigintmat(zmat); |
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352 | return FALSE; |
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353 | } |
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354 | WerrorS("vertices: unexpected parameters"); |
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355 | return TRUE; |
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356 | } |
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357 | |
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358 | int getAmbientDimension(gfan::ZCone* zc) // zc is meant to represent a polytope here |
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359 | { // hence ambientDimension-1 |
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360 | return zc->ambientDimension()-1; |
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361 | } |
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362 | |
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363 | int getCodimension(gfan::ZCone *zc) |
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364 | { |
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365 | return zc->codimension(); |
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366 | } |
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367 | |
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368 | int getDimension(gfan::ZCone* zc) |
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369 | { |
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370 | return zc->dimension()-1; |
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371 | } |
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372 | |
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373 | gfan::ZVector intStar2ZVectorWithLeadingOne(const int d, const int* i) |
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374 | { |
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375 | gfan::ZVector zv(d+1); |
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376 | zv[0]=1; |
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377 | for(int j=1; j<=d; j++) |
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378 | { |
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379 | zv[j]=i[j]; |
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380 | } |
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381 | return zv; |
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382 | } |
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383 | |
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384 | gfan::ZCone newtonPolytope(poly p, ring r) |
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385 | { |
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386 | int N = rVar(r); |
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387 | gfan::ZMatrix zm(0,N+1); |
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388 | int *leadexpv = (int*)omAlloc((N+1)*sizeof(int)); |
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389 | while (p!=NULL) |
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390 | { |
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391 | p_GetExpV(p,leadexpv,r); |
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392 | gfan::ZVector zv = intStar2ZVectorWithLeadingOne(N, leadexpv); |
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393 | zm.appendRow(zv); |
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394 | pIter(p); |
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395 | } |
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396 | omFreeSize(leadexpv,(N+1)*sizeof(int)); |
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397 | gfan::ZCone Delta = gfan::ZCone::givenByRays(zm,gfan::ZMatrix(0, zm.getWidth())); |
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398 | return Delta; |
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399 | } |
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400 | |
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401 | BOOLEAN newtonPolytope(leftv res, leftv args) |
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402 | { |
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403 | gfan::initializeCddlibIfRequired(); |
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404 | leftv u = args; |
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405 | if ((u != NULL) && (u->Typ() == POLY_CMD)) |
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406 | { |
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407 | poly p = (poly)u->Data(); |
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408 | res->rtyp = polytopeID; |
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409 | res->data = (void*) new gfan::ZCone(newtonPolytope(p,currRing)); |
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410 | return FALSE; |
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411 | } |
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412 | WerrorS("newtonPolytope: unexpected parameters"); |
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413 | return TRUE; |
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414 | } |
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415 | |
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416 | BOOLEAN scalePolytope(leftv res, leftv args) |
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417 | { |
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418 | gfan::initializeCddlibIfRequired(); |
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419 | leftv u = args; |
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420 | if ((u != NULL) && (u->Typ() == INT_CMD)) |
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421 | { |
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422 | leftv v = u->next; |
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423 | if ((v != NULL) && (v->Typ() == polytopeID)) |
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424 | { |
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425 | int s = (int)(long) u->Data(); |
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426 | gfan::ZCone* zp = (gfan::ZCone*) v->Data(); |
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427 | gfan::ZMatrix zm = zp->extremeRays(); |
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428 | for (int i=0; i<zm.getHeight(); i++) |
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429 | for (int j=1; j<zm.getWidth(); j++) |
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430 | zm[i][j]*=s; |
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431 | gfan::ZCone* zq = new gfan::ZCone(); |
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432 | *zq = gfan::ZCone::givenByRays(zm,gfan::ZMatrix(0, zm.getWidth())); |
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433 | res->rtyp = polytopeID; |
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434 | res->data = (void*) zq; |
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435 | return FALSE; |
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436 | } |
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437 | } |
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438 | WerrorS("scalePolytope: unexpected parameters"); |
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439 | return TRUE; |
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440 | } |
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441 | |
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442 | BOOLEAN dualPolytope(leftv res, leftv args) |
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443 | { |
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444 | gfan::initializeCddlibIfRequired(); |
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445 | leftv u = args; |
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446 | if ((u != NULL) && (u->Typ() == polytopeID)) |
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447 | { |
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448 | gfan::ZCone* zp = (gfan::ZCone*) u->Data(); |
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449 | gfan::ZCone* zq = new gfan::ZCone(zp->dualCone()); |
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450 | res->rtyp = polytopeID; |
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451 | res->data = (void*) zq; |
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452 | return FALSE; |
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453 | } |
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454 | WerrorS("dualPolytope: unexpected parameters"); |
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455 | return TRUE; |
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456 | } |
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457 | |
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458 | BOOLEAN mixedVolume(leftv res, leftv args) |
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459 | { |
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460 | gfan::initializeCddlibIfRequired(); |
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461 | leftv u = args; |
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462 | if ((u != NULL) && (u->Typ() == LIST_CMD)) |
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463 | { |
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464 | lists l = (lists) u->Data(); |
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465 | int k = lSize(l)+1; |
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466 | std::vector<gfan::IntMatrix> P(k); |
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467 | for (int i=0; i<k; i++) |
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468 | { |
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469 | if (l->m[i].Typ() == polytopeID) |
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470 | { |
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471 | gfan::ZCone* p = (gfan::ZCone*) l->m[i].Data(); |
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472 | gfan::ZMatrix pv = p->extremeRays(); |
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473 | int r = pv.getHeight(); |
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474 | int c = pv.getWidth(); |
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475 | gfan::IntMatrix pw(r,c-1); |
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476 | for (int n=0; n<r; n++) |
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477 | for (int m=1; m<c; m++) |
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478 | pw[n][m-1] = pv[n][m].toInt(); |
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479 | P[i]=pw.transposed(); |
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480 | } else if (l->m[i].Typ() == POLY_CMD) |
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481 | { |
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482 | poly p = (poly) l->m[i].Data(); |
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483 | int N = rVar(currRing); |
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484 | gfan::IntMatrix pw(0,N); |
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485 | int *leadexpv = (int*)omAlloc((N+1)*sizeof(int)); |
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486 | while (p!=NULL) |
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487 | { |
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488 | p_GetExpV(p,leadexpv,currRing); |
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489 | gfan::IntVector zv(N); |
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490 | for (int i=0; i<N; i++) |
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491 | zv[i] = leadexpv[i+1]; |
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492 | pw.appendRow(zv); |
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493 | pIter(p); |
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494 | } |
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495 | P[i]=pw.transposed(); |
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496 | omFreeSize(leadexpv,(N+1)*sizeof(int)); |
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497 | } |
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498 | else |
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499 | { |
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500 | WerrorS("mixedVolume: entries of unsupported type in list"); |
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501 | return TRUE; |
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502 | } |
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503 | } |
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504 | gfan::Integer mv = gfan::mixedVolume(P); |
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505 | |
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506 | res->rtyp = BIGINT_CMD; |
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507 | res->data = (void*) integerToNumber(mv); |
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508 | return FALSE; |
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509 | } |
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510 | WerrorS("mixedVolume: unexpected parameters"); |
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511 | return TRUE; |
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512 | } |
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513 | |
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514 | |
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515 | |
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516 | void bbpolytope_setup(SModulFunctions* p) |
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517 | { |
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518 | blackbox *b=(blackbox*)omAlloc0(sizeof(blackbox)); |
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519 | // all undefined entries will be set to default in setBlackboxStuff |
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520 | // the default Print is quite usefule, |
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521 | // all other are simply error messages |
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522 | b->blackbox_destroy=bbpolytope_destroy; |
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523 | b->blackbox_String=bbpolytope_String; |
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524 | //b->blackbox_Print=blackbox_default_Print; |
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525 | b->blackbox_Init=bbpolytope_Init; |
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526 | b->blackbox_Copy=bbpolytope_Copy; |
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527 | b->blackbox_Assign=bbpolytope_Assign; |
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528 | p->iiAddCproc("","polytopeViaPoints",FALSE,polytopeViaVertices); |
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529 | p->iiAddCproc("","polytopeViaInequalities",FALSE,polytopeViaNormals); |
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530 | p->iiAddCproc("","vertices",FALSE,vertices); |
---|
531 | p->iiAddCproc("","newtonPolytope",FALSE,newtonPolytope); |
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532 | p->iiAddCproc("","scalePolytope",FALSE,scalePolytope); |
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533 | p->iiAddCproc("","dualPolytope",FALSE,dualPolytope); |
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534 | p->iiAddCproc("","mixedVolume",FALSE,mixedVolume); |
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535 | /********************************************************/ |
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536 | /* the following functions are implemented in bbcone.cc */ |
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537 | // iiAddCproc("","getAmbientDimension",FALSE,getAmbientDimension); |
---|
538 | // iiAddCproc("","getCodimension",FALSE,getAmbientDimension); |
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539 | // iiAddCproc("","getDimension",FALSE,getDimension); |
---|
540 | /********************************************************/ |
---|
541 | /* the following functions are identical to those in bbcone.cc */ |
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542 | // iiAddCproc("","facets",FALSE,facets); |
---|
543 | // iiAddCproc("","setLinearForms",FALSE,setLinearForms); |
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544 | // iiAddCproc("","getLinearForms",FALSE,getLinearForms); |
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545 | // iiAddCproc("","setMultiplicity",FALSE,setMultiplicity); |
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546 | // iiAddCproc("","getMultiplicity",FALSE,getMultiplicity); |
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547 | // iiAddCproc("","hasFace",FALSE,hasFace); |
---|
548 | /***************************************************************/ |
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549 | // iiAddCproc("","getEquations",FALSE,getEquations); |
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550 | // iiAddCproc("","getInequalities",FALSE,getInequalities); |
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551 | polytopeID=setBlackboxStuff(b,"polytope"); |
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552 | //Print("created type %d (polytope)\n",polytopeID); |
---|
553 | } |
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554 | |
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555 | #endif |
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