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 <misc/intvec.h> |
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6 | #include <misc/sirandom.h> |
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7 | |
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8 | #include <coeffs/bigintmat.h> |
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9 | #include <coeffs/longrat.h> |
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10 | |
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11 | #include <Singular/ipid.h> |
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12 | #include <Singular/ipshell.h> |
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13 | #include <Singular/blackbox.h> |
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14 | |
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15 | #include <callgfanlib_conversion.h> |
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16 | #include <sstream> |
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17 | |
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18 | #include <gfanlib/gfanlib.h> |
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19 | #include <gfanlib/gfanlib_q.h> |
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20 | |
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21 | #include <bbfan.h> |
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22 | #include <bbpolytope.h> |
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23 | |
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24 | int coneID; |
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25 | |
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26 | std::string toString(const gfan::ZCone* const c) |
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27 | { |
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28 | std::stringstream s; |
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29 | s<<"AMBIENT_DIM"<<std::endl; |
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30 | s<<c->ambientDimension()<<std::endl; |
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31 | |
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32 | gfan::ZMatrix i=c->getInequalities(); |
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33 | char* ineqs = toString(i); |
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34 | if (c->areFacetsKnown()) |
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35 | s<<"FACETS"<<std::endl; |
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36 | else |
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37 | s<<"INEQUALITIES"<<std::endl; |
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38 | if (ineqs!=NULL) |
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39 | { |
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40 | s<<ineqs<<std::endl; |
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41 | omFree(ineqs); |
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42 | } |
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43 | |
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44 | gfan::ZMatrix e=c->getEquations(); |
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45 | char* eqs = toString(e); |
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46 | if (c->areImpliedEquationsKnown()) |
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47 | s<<"LINEAR_SPAN"<<std::endl; |
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48 | else |
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49 | s<<"EQUATIONS"<<std::endl; |
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50 | if (eqs!=NULL) |
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51 | { |
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52 | s<<eqs<<std::endl; |
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53 | omFree(eqs); |
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54 | } |
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55 | |
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56 | if (c->areExtremeRaysKnown()) |
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57 | { |
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58 | gfan::ZMatrix r=c->extremeRays(); |
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59 | char* rs = toString(r); |
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60 | s<<"RAYS"<<std::endl; |
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61 | if (rs!=NULL) |
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62 | { |
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63 | s<<rs<<std::endl; |
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64 | omFree(rs); |
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65 | } |
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66 | gfan::ZMatrix l=c->generatorsOfLinealitySpace(); |
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67 | char* ls = toString(l); |
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68 | s<<"LINEALITY_SPACE"<<std::endl; |
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69 | if (ls!=NULL) |
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70 | { |
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71 | s<<ls<<std::endl; |
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72 | omFree(ls); |
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73 | } |
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74 | } |
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75 | |
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76 | return s.str(); |
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77 | } |
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78 | |
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79 | void* bbcone_Init(blackbox* /*b*/) |
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80 | { |
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81 | return (void*)(new gfan::ZCone()); |
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82 | } |
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83 | |
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84 | BOOLEAN bbcone_Assign(leftv l, leftv r) |
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85 | { |
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86 | gfan::ZCone* newZc; |
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87 | if (r==NULL) |
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88 | { |
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89 | if (l->Data()!=NULL) |
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90 | { |
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91 | gfan::ZCone* zd = (gfan::ZCone*)l->Data(); |
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92 | delete zd; |
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93 | } |
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94 | newZc = new gfan::ZCone(); |
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95 | } |
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96 | else if (r->Typ()==l->Typ()) |
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97 | { |
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98 | if (l->Data()!=NULL) |
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99 | { |
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100 | gfan::ZCone* zd = (gfan::ZCone*)l->Data(); |
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101 | delete zd; |
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102 | } |
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103 | newZc = (gfan::ZCone*)r->CopyD(); |
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104 | } |
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105 | else if (r->Typ()==INT_CMD) |
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106 | { |
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107 | int ambientDim = (int)(long)r->Data(); |
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108 | if (ambientDim < 0) |
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109 | { |
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110 | Werror("expected an int >= 0, but got %d", ambientDim); |
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111 | return TRUE; |
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112 | } |
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113 | if (l->Data()!=NULL) |
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114 | { |
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115 | gfan::ZCone* zd = (gfan::ZCone*)l->Data(); |
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116 | delete zd; |
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117 | } |
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118 | newZc = new gfan::ZCone(ambientDim); |
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119 | } |
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120 | else |
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121 | { |
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122 | Werror("assign Type(%d) = Type(%d) not implemented",l->Typ(),r->Typ()); |
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123 | return TRUE; |
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124 | } |
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125 | |
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126 | if (l->rtyp==IDHDL) |
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127 | { |
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128 | IDDATA((idhdl)l->data)=(char*) newZc; |
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129 | } |
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130 | else |
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131 | { |
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132 | l->data=(void *)newZc; |
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133 | } |
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134 | return FALSE; |
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135 | } |
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136 | |
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137 | char* bbcone_String(blackbox* /*b*/, void *d) |
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138 | { |
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139 | if (d==NULL) return omStrDup("invalid object"); |
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140 | else |
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141 | { |
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142 | std::string s=toString((gfan::ZCone*) d); |
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143 | return omStrDup(s.c_str()); |
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144 | } |
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145 | } |
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146 | |
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147 | void bbcone_destroy(blackbox* /*b*/, void *d) |
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148 | { |
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149 | if (d!=NULL) |
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150 | { |
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151 | gfan::ZCone* zc = (gfan::ZCone*) d; |
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152 | delete zc; |
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153 | } |
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154 | } |
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155 | |
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156 | void* bbcone_Copy(blackbox* /*b*/, void *d) |
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157 | { |
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158 | gfan::ZCone* zc = (gfan::ZCone*)d; |
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159 | gfan::ZCone* newZc = new gfan::ZCone(*zc); |
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160 | return newZc; |
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161 | } |
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162 | |
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163 | static BOOLEAN bbcone_Op2(int op, leftv res, leftv i1, leftv i2) |
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164 | { |
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165 | gfan::ZCone* zp = (gfan::ZCone*) i1->Data(); |
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166 | switch(op) |
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167 | { |
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168 | case '&': |
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169 | { |
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170 | if (i2->Typ()==coneID) |
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171 | { |
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172 | gfan::ZCone* zq = (gfan::ZCone*) i2->Data(); |
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173 | int d1 = zp->ambientDimension(); |
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174 | int d2 = zq->ambientDimension(); |
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175 | if (d1 != d2) |
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176 | { |
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177 | WerrorS("mismatching ambient dimensions"); |
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178 | return TRUE; |
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179 | } |
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180 | gfan::ZCone* zs = new gfan::ZCone(); |
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181 | *zs = gfan::intersection(*zp, *zq); |
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182 | zs->canonicalize(); |
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183 | res->rtyp = coneID; |
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184 | res->data = (void*) zs; |
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185 | return FALSE; |
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186 | } |
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187 | return blackboxDefaultOp2(op,res,i1,i2); |
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188 | } |
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189 | case '|': |
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190 | { |
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191 | if(i2->Typ()==coneID) |
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192 | { |
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193 | gfan::ZCone* zq = (gfan::ZCone*) i2->Data(); |
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194 | int d1 = zp->ambientDimension(); |
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195 | int d2 = zq->ambientDimension(); |
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196 | if (d1 != d2) |
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197 | { |
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198 | WerrorS("mismatching ambient dimensions"); |
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199 | return TRUE; |
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200 | } |
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201 | gfan::ZMatrix rays = zp->extremeRays(); |
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202 | rays.append(zq->extremeRays()); |
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203 | gfan::ZMatrix lineality = zp->generatorsOfLinealitySpace(); |
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204 | lineality.append(zq->generatorsOfLinealitySpace()); |
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205 | gfan::ZCone* zs = new gfan::ZCone(); |
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206 | *zs = gfan::ZCone::givenByRays(rays,lineality); |
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207 | zs->canonicalize(); |
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208 | res->rtyp = coneID; |
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209 | res->data = (void*) zs; |
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210 | return FALSE; |
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211 | } |
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212 | return blackboxDefaultOp2(op,res,i1,i2); |
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213 | } |
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214 | case EQUAL_EQUAL: |
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215 | { |
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216 | if(i2->Typ()==coneID) |
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217 | { |
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218 | gfan::ZCone* zq = (gfan::ZCone*) i2->Data(); |
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219 | zp->canonicalize(); |
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220 | zq->canonicalize(); |
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221 | bool b = !((*zp)!=(*zq)); |
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222 | res->rtyp = INT_CMD; |
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223 | res->data = (void*) b; |
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224 | return FALSE; |
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225 | } |
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226 | return blackboxDefaultOp2(op,res,i1,i2); |
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227 | } |
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228 | default: |
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229 | return blackboxDefaultOp2(op,res,i1,i2); |
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230 | } |
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231 | return blackboxDefaultOp2(op,res,i1,i2); |
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232 | } |
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233 | |
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234 | |
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235 | /* singular wrapper for gfanlib functions */ |
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236 | static BOOLEAN jjCONENORMALS1(leftv res, leftv v) |
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237 | { |
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238 | /* method for generating a cone object from inequalities; |
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239 | valid parametrizations: (intmat) */ |
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240 | bigintmat* ineq = NULL; |
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241 | if (v->Typ() == INTMAT_CMD) |
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242 | { |
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243 | intvec* ineq0 = (intvec*) v->Data(); |
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244 | ineq = iv2bim(ineq0,coeffs_BIGINT); |
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245 | } |
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246 | else |
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247 | ineq = (bigintmat*) v->Data(); |
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248 | gfan::ZMatrix* zm = bigintmatToZMatrix(ineq); |
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249 | gfan::ZCone* zc = new gfan::ZCone(*zm, gfan::ZMatrix(0, zm->getWidth())); |
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250 | delete zm; |
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251 | if (v->Typ() == INTMAT_CMD) |
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252 | delete ineq; |
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253 | res->rtyp = coneID; |
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254 | res->data = (void*) zc; |
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255 | return FALSE; |
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256 | } |
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257 | |
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258 | static BOOLEAN jjCONENORMALS2(leftv res, leftv u, leftv v) |
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259 | { |
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260 | /* method for generating a cone object from iequalities, |
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261 | and equations (...) |
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262 | valid parametrizations: (intmat, intmat) |
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263 | Errors will be invoked in the following cases: |
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264 | - u and v have different numbers of columns */ |
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265 | bigintmat* ineq = NULL; bigintmat* eq = NULL; |
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266 | if (u->Typ() == INTMAT_CMD) |
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267 | { |
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268 | intvec* ineq0 = (intvec*) u->Data(); |
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269 | ineq = iv2bim(ineq0,coeffs_BIGINT); |
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270 | } |
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271 | else |
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272 | ineq = (bigintmat*) u->Data(); |
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273 | if (v->Typ() == INTMAT_CMD) |
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274 | { |
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275 | intvec* eq0 = (intvec*) v->Data(); |
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276 | eq = iv2bim(eq0,coeffs_BIGINT); |
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277 | } |
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278 | else |
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279 | eq = (bigintmat*) v->Data(); |
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280 | |
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281 | if (ineq->cols() != eq->cols()) |
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282 | { |
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283 | Werror("expected same number of columns but got %d vs. %d", |
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284 | ineq->cols(), eq->cols()); |
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285 | return TRUE; |
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286 | } |
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287 | gfan::ZMatrix* zm1 = bigintmatToZMatrix(ineq); |
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288 | gfan::ZMatrix* zm2 = bigintmatToZMatrix(eq); |
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289 | gfan::ZCone* zc = new gfan::ZCone(*zm1, *zm2); |
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290 | delete zm1; |
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291 | delete zm2; |
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292 | if (u->Typ() == INTMAT_CMD) |
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293 | delete ineq; |
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294 | if (v->Typ() == INTMAT_CMD) |
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295 | delete eq; |
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296 | res->rtyp = coneID; |
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297 | res->data = (void*) zc; |
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298 | return FALSE; |
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299 | } |
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300 | |
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301 | static BOOLEAN jjCONENORMALS3(leftv res, leftv u, leftv v, leftv w) |
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302 | { |
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303 | /* method for generating a cone object from inequalities, equations, |
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304 | and an integer k; |
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305 | valid parametrizations: (intmat, intmat, int); |
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306 | Errors will be invoked in the following cases: |
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307 | - u and v have different numbers of columns, |
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308 | - k not in [0..3]; |
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309 | if the 2^0-bit of k is set, then ... */ |
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310 | bigintmat* ineq = NULL; bigintmat* eq = NULL; |
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311 | if (u->Typ() == INTMAT_CMD) |
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312 | { |
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313 | intvec* ineq0 = (intvec*) u->Data(); |
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314 | ineq = iv2bim(ineq0,coeffs_BIGINT); |
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315 | } |
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316 | else |
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317 | ineq = (bigintmat*) u->Data(); |
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318 | if (v->Typ() == INTMAT_CMD) |
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319 | { |
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320 | intvec* eq0 = (intvec*) v->Data(); |
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321 | eq = iv2bim(eq0,coeffs_BIGINT); |
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322 | } |
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323 | else |
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324 | eq = (bigintmat*) v->Data(); |
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325 | if (ineq->cols() != eq->cols()) |
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326 | { |
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327 | Werror("expected same number of columns but got %d vs. %d", |
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328 | ineq->cols(), eq->cols()); |
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329 | return TRUE; |
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330 | } |
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331 | int k = (int)(long)w->Data(); |
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332 | if ((k < 0) || (k > 3)) |
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333 | { |
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334 | WerrorS("expected int argument in [0..3]"); |
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335 | return TRUE; |
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336 | } |
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337 | gfan::ZMatrix* zm1 = bigintmatToZMatrix(ineq); |
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338 | gfan::ZMatrix* zm2 = bigintmatToZMatrix(eq); |
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339 | gfan::ZCone* zc = new gfan::ZCone(*zm1, *zm2, k); |
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340 | delete zm1; |
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341 | delete zm2; |
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342 | if (u->Typ() == INTMAT_CMD) |
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343 | delete ineq; |
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344 | if (v->Typ() == INTMAT_CMD) |
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345 | delete eq; |
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346 | res->rtyp = coneID; |
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347 | res->data = (void*) zc; |
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348 | return FALSE; |
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349 | } |
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350 | |
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351 | BOOLEAN coneViaNormals(leftv res, leftv args) |
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352 | { |
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353 | leftv u = args; |
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354 | if ((u != NULL) && ((u->Typ() == BIGINTMAT_CMD) || (u->Typ() == INTMAT_CMD))) |
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355 | { |
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356 | if (u->next == NULL) return jjCONENORMALS1(res, u); |
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357 | } |
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358 | leftv v = u->next; |
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359 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTMAT_CMD))) |
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360 | { |
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361 | if (v->next == NULL) return jjCONENORMALS2(res, u, v); |
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362 | } |
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363 | leftv w = v->next; |
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364 | if ((w != NULL) && (w->Typ() == INT_CMD)) |
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365 | { |
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366 | if (w->next == NULL) return jjCONENORMALS3(res, u, v, w); |
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367 | } |
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368 | WerrorS("coneViaInequalities: unexpected parameters"); |
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369 | return TRUE; |
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370 | } |
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371 | |
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372 | static BOOLEAN jjCONERAYS1(leftv res, leftv v) |
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373 | { |
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374 | /* method for generating a cone object from half-lines |
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375 | (cone = convex hull of the half-lines; note: there may be |
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376 | entire lines in the cone); |
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377 | valid parametrizations: (intmat) */ |
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378 | bigintmat* rays = NULL; |
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379 | if (v->Typ() == INTMAT_CMD) |
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380 | { |
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381 | intvec* rays0 = (intvec*) v->Data(); |
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382 | rays = iv2bim(rays0,coeffs_BIGINT); |
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383 | } |
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384 | else |
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385 | rays = (bigintmat*) v->Data(); |
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386 | |
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387 | gfan::ZMatrix* zm = bigintmatToZMatrix(rays); |
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388 | gfan::ZCone* zc = new gfan::ZCone(); |
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389 | *zc = gfan::ZCone::givenByRays(*zm, gfan::ZMatrix(0, zm->getWidth())); |
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390 | res->rtyp = coneID; |
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391 | res->data = (void*) zc; |
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392 | |
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393 | delete zm; |
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394 | if (v->Typ() == INTMAT_CMD) |
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395 | delete rays; |
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396 | return FALSE; |
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397 | } |
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398 | |
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399 | static BOOLEAN jjCONERAYS2(leftv res, leftv u, leftv v) |
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400 | { |
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401 | /* method for generating a cone object from half-lines, |
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402 | and lines (any point in the cone being the sum of a point |
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403 | in the convex hull of the half-lines and a point in the span |
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404 | of the lines; the second argument may contain or entirely consist |
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405 | of zero rows); |
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406 | valid parametrizations: (intmat, intmat) |
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407 | Errors will be invoked in the following cases: |
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408 | - u and v have different numbers of columns */ |
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409 | bigintmat* rays = NULL; bigintmat* linSpace = NULL; |
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410 | if (u->Typ() == INTMAT_CMD) |
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411 | { |
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412 | intvec* rays0 = (intvec*) u->Data(); |
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413 | rays = iv2bim(rays0,coeffs_BIGINT); |
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414 | } |
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415 | else |
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416 | rays = (bigintmat*) u->Data(); |
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417 | if (v->Typ() == INTMAT_CMD) |
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418 | { |
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419 | intvec* linSpace0 = (intvec*) v->Data(); |
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420 | linSpace = iv2bim(linSpace0,coeffs_BIGINT); |
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421 | } |
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422 | else |
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423 | linSpace = (bigintmat*) v->Data(); |
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424 | |
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425 | if (rays->cols() != linSpace->cols()) |
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426 | { |
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427 | Werror("expected same number of columns but got %d vs. %d", |
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428 | rays->cols(), linSpace->cols()); |
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429 | return TRUE; |
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430 | } |
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431 | gfan::ZMatrix* zm1 = bigintmatToZMatrix(rays); |
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432 | gfan::ZMatrix* zm2 = bigintmatToZMatrix(linSpace); |
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433 | gfan::ZCone* zc = new gfan::ZCone(); |
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434 | *zc = gfan::ZCone::givenByRays(*zm1, *zm2); |
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435 | res->rtyp = coneID; |
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436 | res->data = (void*) zc; |
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437 | |
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438 | delete zm1; |
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439 | delete zm2; |
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440 | if (u->Typ() == INTMAT_CMD) |
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441 | delete rays; |
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442 | if (v->Typ() == INTMAT_CMD) |
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443 | delete linSpace; |
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444 | return FALSE; |
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445 | } |
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446 | |
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447 | static BOOLEAN jjCONERAYS3(leftv res, leftv u, leftv v, leftv w) |
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448 | { |
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449 | /* method for generating a cone object from half-lines, |
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450 | and lines (any point in the cone being the sum of a point |
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451 | in the convex hull of the half-lines and a point in the span |
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452 | of the lines), and an integer k; |
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453 | valid parametrizations: (intmat, intmat, int); |
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454 | Errors will be invoked in the following cases: |
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455 | - u and v have different numbers of columns, |
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456 | - k not in [0..3]; |
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457 | if the 2^0-bit of k is set, then the lineality space is known |
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458 | to be the span of the provided lines; |
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459 | if the 2^1-bit of k is set, then the extreme rays are known: |
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460 | each half-line spans a (different) extreme ray */ |
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461 | bigintmat* rays = NULL; bigintmat* linSpace = NULL; |
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462 | if (u->Typ() == INTMAT_CMD) |
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463 | { |
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464 | intvec* rays0 = (intvec*) u->Data(); |
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465 | rays = iv2bim(rays0,coeffs_BIGINT); |
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466 | } |
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467 | else |
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468 | rays = (bigintmat*) u->Data(); |
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469 | if (v->Typ() == INTMAT_CMD) |
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470 | { |
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471 | intvec* linSpace0 = (intvec*) v->Data(); |
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472 | linSpace = iv2bim(linSpace0,coeffs_BIGINT); |
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473 | } |
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474 | else |
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475 | linSpace = (bigintmat*) v->Data(); |
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476 | |
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477 | if (rays->cols() != linSpace->cols()) |
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478 | { |
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479 | Werror("expected same number of columns but got %d vs. %d", |
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480 | rays->cols(), linSpace->cols()); |
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481 | return TRUE; |
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482 | } |
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483 | int k = (int)(long)w->Data(); |
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484 | if ((k < 0) || (k > 3)) |
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485 | { |
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486 | WerrorS("expected int argument in [0..3]"); |
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487 | return TRUE; |
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488 | } |
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489 | gfan::ZMatrix* zm1 = bigintmatToZMatrix(rays); |
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490 | gfan::ZMatrix* zm2 = bigintmatToZMatrix(linSpace); |
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491 | gfan::ZCone* zc = new gfan::ZCone(); |
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492 | *zc = gfan::ZCone::givenByRays(*zm1, *zm2); |
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493 | //k should be passed on to zc; not available yet |
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494 | res->rtyp = coneID; |
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495 | res->data = (void*) zc; |
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496 | |
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497 | delete zm1; |
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498 | delete zm2; |
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499 | if (u->Typ() == INTMAT_CMD) |
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500 | delete rays; |
---|
501 | if (v->Typ() == INTMAT_CMD) |
---|
502 | delete linSpace; |
---|
503 | return FALSE; |
---|
504 | } |
---|
505 | |
---|
506 | BOOLEAN coneViaRays(leftv res, leftv args) |
---|
507 | { |
---|
508 | leftv u = args; |
---|
509 | if ((u != NULL) && ((u->Typ() == BIGINTMAT_CMD) || (u->Typ() == INTMAT_CMD))) |
---|
510 | { |
---|
511 | if (u->next == NULL) return jjCONERAYS1(res, u); |
---|
512 | leftv v = u->next; |
---|
513 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTMAT_CMD))) |
---|
514 | { |
---|
515 | if (v->next == NULL) return jjCONERAYS2(res, u, v); |
---|
516 | leftv w = v->next; |
---|
517 | if ((w != NULL) && (w->Typ() == INT_CMD)) |
---|
518 | { |
---|
519 | if (w->next == NULL) return jjCONERAYS3(res, u, v, w); |
---|
520 | } |
---|
521 | } |
---|
522 | } |
---|
523 | WerrorS("coneViaPoints: unexpected parameters"); |
---|
524 | return TRUE; |
---|
525 | } |
---|
526 | |
---|
527 | BOOLEAN inequalities(leftv res, leftv args) |
---|
528 | { |
---|
529 | leftv u = args; |
---|
530 | if ((u != NULL) && (u->Typ() == coneID || u->Typ() == polytopeID)) |
---|
531 | { |
---|
532 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
533 | |
---|
534 | gfan::ZMatrix zmat = zc->getInequalities(); |
---|
535 | res->rtyp = BIGINTMAT_CMD; |
---|
536 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
537 | return FALSE; |
---|
538 | } |
---|
539 | WerrorS("inequalities: unexpected parameters"); |
---|
540 | return TRUE; |
---|
541 | } |
---|
542 | |
---|
543 | BOOLEAN equations(leftv res, leftv args) |
---|
544 | { |
---|
545 | leftv u = args; |
---|
546 | if ((u != NULL) && (u->Typ() == coneID || u->Typ() == polytopeID)) |
---|
547 | { |
---|
548 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
549 | gfan::ZMatrix zmat = zc->getEquations(); |
---|
550 | res->rtyp = BIGINTMAT_CMD; |
---|
551 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
552 | return FALSE; |
---|
553 | } |
---|
554 | WerrorS("equations: unexpected parameters"); |
---|
555 | return TRUE; |
---|
556 | } |
---|
557 | |
---|
558 | BOOLEAN facets(leftv res, leftv args) |
---|
559 | { |
---|
560 | leftv u = args; |
---|
561 | if ((u != NULL) && (u->Typ() == coneID || u->Typ() == polytopeID)) |
---|
562 | { |
---|
563 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
564 | gfan::ZMatrix zm = zc->getFacets(); |
---|
565 | res->rtyp = BIGINTMAT_CMD; |
---|
566 | res->data = (void*) zMatrixToBigintmat(zm); |
---|
567 | return FALSE; |
---|
568 | } |
---|
569 | WerrorS("facets: unexpected parameters"); |
---|
570 | return TRUE; |
---|
571 | } |
---|
572 | |
---|
573 | BOOLEAN impliedEquations(leftv res, leftv args) |
---|
574 | { |
---|
575 | leftv u = args; |
---|
576 | if ((u != NULL) && (u->Typ() == coneID || u->Typ() == polytopeID)) |
---|
577 | { |
---|
578 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
579 | gfan::ZMatrix zmat = zc->getImpliedEquations(); |
---|
580 | res->rtyp = BIGINTMAT_CMD; |
---|
581 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
582 | return FALSE; |
---|
583 | } |
---|
584 | WerrorS("span: unexpected parameters"); |
---|
585 | return TRUE; |
---|
586 | } |
---|
587 | |
---|
588 | BOOLEAN generatorsOfSpan(leftv res, leftv args) |
---|
589 | { |
---|
590 | leftv u = args; |
---|
591 | if ((u != NULL) && (u->Typ() == coneID || u->Typ() == polytopeID)) |
---|
592 | { |
---|
593 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
594 | gfan::ZMatrix zmat = zc->generatorsOfSpan(); |
---|
595 | res->rtyp = BIGINTMAT_CMD; |
---|
596 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
597 | return FALSE; |
---|
598 | } |
---|
599 | WerrorS("generatorsOfSpan: unexpected parameters"); |
---|
600 | return TRUE; |
---|
601 | } |
---|
602 | |
---|
603 | BOOLEAN generatorsOfLinealitySpace(leftv res, leftv args) |
---|
604 | { |
---|
605 | leftv u = args; |
---|
606 | if ((u != NULL) && (u->Typ() == coneID || u->Typ() == polytopeID)) |
---|
607 | { |
---|
608 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
609 | gfan::ZMatrix zmat = zc->generatorsOfLinealitySpace(); |
---|
610 | res->rtyp = BIGINTMAT_CMD; |
---|
611 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
612 | return FALSE; |
---|
613 | } |
---|
614 | WerrorS("generatorsOfLinealitySpace: unexpected parameters"); |
---|
615 | return TRUE; |
---|
616 | } |
---|
617 | |
---|
618 | BOOLEAN rays(leftv res, leftv args) |
---|
619 | { |
---|
620 | leftv u = args; |
---|
621 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
622 | { |
---|
623 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
624 | gfan::ZMatrix zm = zc->extremeRays(); |
---|
625 | res->rtyp = BIGINTMAT_CMD; |
---|
626 | res->data = (void*)zMatrixToBigintmat(zm); |
---|
627 | return FALSE; |
---|
628 | } |
---|
629 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
630 | { |
---|
631 | gfan::ZFan* zf = (gfan::ZFan*)u->Data(); |
---|
632 | gfan::ZMatrix zmat = rays(zf); |
---|
633 | res->rtyp = BIGINTMAT_CMD; |
---|
634 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
635 | return FALSE; |
---|
636 | } |
---|
637 | WerrorS("rays: unexpected parameters"); |
---|
638 | return TRUE; |
---|
639 | } |
---|
640 | |
---|
641 | BOOLEAN quotientLatticeBasis(leftv res, leftv args) |
---|
642 | { |
---|
643 | leftv u = args; |
---|
644 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
645 | { |
---|
646 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
647 | gfan::ZMatrix zmat = zc->quotientLatticeBasis(); |
---|
648 | res->rtyp = BIGINTMAT_CMD; |
---|
649 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
650 | return FALSE; |
---|
651 | } |
---|
652 | WerrorS("quotientLatticeBasis: unexpected parameters"); |
---|
653 | return TRUE; |
---|
654 | } |
---|
655 | |
---|
656 | BOOLEAN getLinearForms(leftv res, leftv args) |
---|
657 | { |
---|
658 | leftv u = args; |
---|
659 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
660 | { |
---|
661 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
662 | gfan::ZMatrix zmat = zc->getLinearForms(); |
---|
663 | res->rtyp = BIGINTMAT_CMD; |
---|
664 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
665 | return FALSE; |
---|
666 | } |
---|
667 | WerrorS("getLinearForms: unexpected parameters"); |
---|
668 | return TRUE; |
---|
669 | } |
---|
670 | |
---|
671 | BOOLEAN ambientDimension(leftv res, leftv args) |
---|
672 | { |
---|
673 | leftv u=args; |
---|
674 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
675 | { |
---|
676 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
677 | res->rtyp = INT_CMD; |
---|
678 | res->data = (void*) (long) zc->ambientDimension(); |
---|
679 | return FALSE; |
---|
680 | } |
---|
681 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
682 | { |
---|
683 | gfan::ZFan* zf = (gfan::ZFan*)u->Data(); |
---|
684 | res->rtyp = INT_CMD; |
---|
685 | res->data = (void*) (long) getAmbientDimension(zf); |
---|
686 | return FALSE; |
---|
687 | } |
---|
688 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
689 | { |
---|
690 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
691 | res->rtyp = INT_CMD; |
---|
692 | res->data = (void*) (long) getAmbientDimension(zc); |
---|
693 | return FALSE; |
---|
694 | } |
---|
695 | WerrorS("ambientDimension: unexpected parameters"); |
---|
696 | return TRUE; |
---|
697 | } |
---|
698 | |
---|
699 | BOOLEAN dimension(leftv res, leftv args) |
---|
700 | { |
---|
701 | leftv u=args; |
---|
702 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
703 | { |
---|
704 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
705 | res->rtyp = INT_CMD; |
---|
706 | res->data = (void*) (long) zc->dimension(); |
---|
707 | return FALSE; |
---|
708 | } |
---|
709 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
710 | { |
---|
711 | gfan::ZFan* zf = (gfan::ZFan*)u->Data(); |
---|
712 | res->rtyp = INT_CMD; |
---|
713 | res->data = (void*) (long) getDimension(zf); |
---|
714 | return FALSE; |
---|
715 | } |
---|
716 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
717 | { |
---|
718 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
719 | res->rtyp = INT_CMD; |
---|
720 | res->data = (void*) (long) getDimension(zc); |
---|
721 | return FALSE; |
---|
722 | } |
---|
723 | WerrorS("dimension: unexpected parameters"); |
---|
724 | return TRUE; |
---|
725 | } |
---|
726 | |
---|
727 | BOOLEAN codimension(leftv res, leftv args) |
---|
728 | { |
---|
729 | leftv u=args; |
---|
730 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
731 | { |
---|
732 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
733 | res->rtyp = INT_CMD; |
---|
734 | res->data = (void*) (long) zc->codimension(); |
---|
735 | return FALSE; |
---|
736 | } |
---|
737 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
738 | { |
---|
739 | gfan::ZFan* zf = (gfan::ZFan*)u->Data(); |
---|
740 | res->rtyp = INT_CMD; |
---|
741 | res->data = (void*) (long) getCodimension(zf); |
---|
742 | return FALSE; |
---|
743 | } |
---|
744 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
745 | { |
---|
746 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
747 | res->rtyp = INT_CMD; |
---|
748 | res->data = (void*) (long) getCodimension(zc); |
---|
749 | return FALSE; |
---|
750 | } |
---|
751 | WerrorS("getCodimension: unexpected parameters"); |
---|
752 | return TRUE; |
---|
753 | } |
---|
754 | |
---|
755 | BOOLEAN linealityDimension(leftv res, leftv args) |
---|
756 | { |
---|
757 | leftv u=args; |
---|
758 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
759 | { |
---|
760 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
761 | res->rtyp = INT_CMD; |
---|
762 | res->data = (void*) (long) zc->dimensionOfLinealitySpace(); |
---|
763 | return FALSE; |
---|
764 | } |
---|
765 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
766 | { |
---|
767 | gfan::ZFan* zf = (gfan::ZFan*)u->Data(); |
---|
768 | res->rtyp = INT_CMD; |
---|
769 | res->data = (void*) (long) getLinealityDimension(zf); |
---|
770 | return FALSE; |
---|
771 | } |
---|
772 | WerrorS("linealityDimension: unexpected parameters"); |
---|
773 | return TRUE; |
---|
774 | } |
---|
775 | |
---|
776 | BOOLEAN getMultiplicity(leftv res, leftv args) |
---|
777 | { |
---|
778 | leftv u = args; |
---|
779 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
780 | { |
---|
781 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
782 | number i = integerToNumber(zc->getMultiplicity()); |
---|
783 | res->rtyp = BIGINT_CMD; |
---|
784 | res->data = (void*) i; |
---|
785 | return FALSE; |
---|
786 | } |
---|
787 | WerrorS("getMultiplicity: unexpected parameters"); |
---|
788 | return TRUE; |
---|
789 | } |
---|
790 | |
---|
791 | BOOLEAN isOrigin(leftv res, leftv args) |
---|
792 | { |
---|
793 | leftv u = args; |
---|
794 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
795 | { |
---|
796 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
797 | int i = zc->isOrigin(); |
---|
798 | res->rtyp = INT_CMD; |
---|
799 | res->data = (void*) (long) i; |
---|
800 | return FALSE; |
---|
801 | } |
---|
802 | WerrorS("isOrigin: unexpected parameters"); |
---|
803 | return TRUE; |
---|
804 | } |
---|
805 | |
---|
806 | BOOLEAN isFullSpace(leftv res, leftv args) |
---|
807 | { |
---|
808 | leftv u = args; |
---|
809 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
810 | { |
---|
811 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
812 | int i = zc->isFullSpace(); |
---|
813 | res->rtyp = INT_CMD; |
---|
814 | res->data = (void*) (long) i; |
---|
815 | return FALSE; |
---|
816 | } |
---|
817 | WerrorS("isFullSpace: unexpected parameters"); |
---|
818 | return TRUE; |
---|
819 | } |
---|
820 | |
---|
821 | BOOLEAN isSimplicial(leftv res, leftv args) |
---|
822 | { |
---|
823 | leftv u=args; |
---|
824 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
825 | { |
---|
826 | gfan::ZCone* zc = (gfan::ZCone*) u->Data(); |
---|
827 | int b = zc->isSimplicial(); |
---|
828 | res->rtyp = INT_CMD; |
---|
829 | res->data = (void*) (long) b; |
---|
830 | return FALSE; |
---|
831 | } |
---|
832 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
833 | { |
---|
834 | gfan::ZFan* zf = (gfan::ZFan*) u->Data(); |
---|
835 | bool b = isSimplicial(zf); |
---|
836 | res->rtyp = INT_CMD; |
---|
837 | res->data = (void*) (long) b; |
---|
838 | return FALSE; |
---|
839 | } |
---|
840 | WerrorS("isSimplicial: unexpected parameters"); |
---|
841 | return TRUE; |
---|
842 | } |
---|
843 | |
---|
844 | BOOLEAN containsPositiveVector(leftv res, leftv args) |
---|
845 | { |
---|
846 | leftv u = args; |
---|
847 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
848 | { |
---|
849 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
850 | int i = zc->containsPositiveVector(); |
---|
851 | res->rtyp = INT_CMD; |
---|
852 | res->data = (void*) (long) i; |
---|
853 | return FALSE; |
---|
854 | } |
---|
855 | WerrorS("containsPositiveVector: unexpected parameters"); |
---|
856 | return TRUE; |
---|
857 | } |
---|
858 | |
---|
859 | BOOLEAN linealitySpace(leftv res, leftv args) |
---|
860 | { |
---|
861 | leftv u = args; |
---|
862 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
863 | { |
---|
864 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
865 | gfan::ZCone* zd = new gfan::ZCone(zc->linealitySpace()); |
---|
866 | res->rtyp = coneID; |
---|
867 | res->data = (void*) zd; |
---|
868 | return FALSE; |
---|
869 | } |
---|
870 | WerrorS("linealitySpace: unexpected parameters"); |
---|
871 | return TRUE; |
---|
872 | } |
---|
873 | |
---|
874 | BOOLEAN dualCone(leftv res, leftv args) |
---|
875 | { |
---|
876 | leftv u = args; |
---|
877 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
878 | { |
---|
879 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
880 | gfan::ZCone* zd = new gfan::ZCone(zc->dualCone()); |
---|
881 | res->rtyp = coneID; |
---|
882 | res->data = (void*) zd; |
---|
883 | return FALSE; |
---|
884 | } |
---|
885 | WerrorS("dual: unexpected parameters"); |
---|
886 | return TRUE; |
---|
887 | } |
---|
888 | |
---|
889 | BOOLEAN negatedCone(leftv res, leftv args) |
---|
890 | { |
---|
891 | leftv u = args; |
---|
892 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
893 | { |
---|
894 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
895 | gfan::ZCone* zd = new gfan::ZCone(zc->negated()); |
---|
896 | res->rtyp = coneID; |
---|
897 | res->data = (void*) zd; |
---|
898 | return FALSE; |
---|
899 | } |
---|
900 | WerrorS("negatedCone: unexpected parameters"); |
---|
901 | return TRUE; |
---|
902 | } |
---|
903 | |
---|
904 | BOOLEAN semigroupGenerator(leftv res, leftv args) |
---|
905 | { |
---|
906 | leftv u = args; |
---|
907 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
908 | { |
---|
909 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
910 | int d = zc->dimension(); |
---|
911 | int dLS = zc->dimensionOfLinealitySpace(); |
---|
912 | if (d == dLS + 1) |
---|
913 | { |
---|
914 | gfan::ZVector zv = zc->semiGroupGeneratorOfRay(); |
---|
915 | res->rtyp = BIGINTMAT_CMD; |
---|
916 | res->data = (void*) zVectorToBigintmat(zv); |
---|
917 | return FALSE; |
---|
918 | } |
---|
919 | Werror("expected dim of cone one larger than dim of lin space\n" |
---|
920 | "but got dimensions %d and %d", d, dLS); |
---|
921 | } |
---|
922 | WerrorS("semigroupGenerator: unexpected parameters"); |
---|
923 | return TRUE; |
---|
924 | } |
---|
925 | |
---|
926 | BOOLEAN relativeInteriorPoint(leftv res, leftv args) |
---|
927 | { |
---|
928 | leftv u = args; |
---|
929 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
930 | { |
---|
931 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
932 | gfan::ZVector zv = zc->getRelativeInteriorPoint(); |
---|
933 | res->rtyp = BIGINTMAT_CMD; |
---|
934 | res->data = (void*) zVectorToBigintmat(zv); |
---|
935 | return FALSE; |
---|
936 | } |
---|
937 | WerrorS("relativeInteriorPoint: unexpected parameters"); |
---|
938 | return TRUE; |
---|
939 | } |
---|
940 | |
---|
941 | BOOLEAN uniquePoint(leftv res, leftv args) |
---|
942 | { |
---|
943 | leftv u = args; |
---|
944 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
945 | { |
---|
946 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
947 | gfan::ZVector zv = zc->getUniquePoint(); |
---|
948 | res->rtyp = BIGINTMAT_CMD; |
---|
949 | res->data = (void*) zVectorToBigintmat(zv); |
---|
950 | return FALSE; |
---|
951 | } |
---|
952 | WerrorS("uniquePoint: unexpected parameters"); |
---|
953 | return TRUE; |
---|
954 | } |
---|
955 | |
---|
956 | gfan::ZVector randomPoint(const gfan::ZCone* zc) |
---|
957 | { |
---|
958 | gfan::ZVector rp = gfan::ZVector(zc->ambientDimension()); |
---|
959 | |
---|
960 | gfan::ZMatrix rays = zc->extremeRays(); |
---|
961 | for (int i=0; i<rays.getHeight(); i++) |
---|
962 | { |
---|
963 | int n = siRand(); |
---|
964 | rp = rp + n * rays[i]; |
---|
965 | } |
---|
966 | |
---|
967 | gfan::ZMatrix lins = zc->generatorsOfLinealitySpace(); |
---|
968 | for (int i=0; i<lins.getHeight(); i++) |
---|
969 | { |
---|
970 | int n = siRand(); |
---|
971 | rp = rp + n * lins[i]; |
---|
972 | } |
---|
973 | |
---|
974 | return rp; |
---|
975 | } |
---|
976 | |
---|
977 | BOOLEAN randomPoint(leftv res, leftv args) |
---|
978 | { |
---|
979 | leftv u = args; |
---|
980 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
981 | { |
---|
982 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
983 | gfan::ZVector zv = randomPoint(zc); |
---|
984 | res->rtyp = BIGINTMAT_CMD; |
---|
985 | res->data = (void*) zVectorToBigintmat(zv); |
---|
986 | return FALSE; |
---|
987 | } |
---|
988 | WerrorS("randomPoint: unexpected parameters"); |
---|
989 | return TRUE; |
---|
990 | } |
---|
991 | |
---|
992 | BOOLEAN setMultiplicity(leftv res, leftv args) |
---|
993 | { |
---|
994 | leftv u = args; |
---|
995 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
996 | { |
---|
997 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
998 | leftv v = u->next; |
---|
999 | if ((v != NULL) && (v->Typ() == INT_CMD)) |
---|
1000 | { |
---|
1001 | int val = (int)(long)v->Data(); |
---|
1002 | zc->setMultiplicity(gfan::Integer(val)); |
---|
1003 | res->rtyp = NONE; |
---|
1004 | res->data = NULL; |
---|
1005 | return FALSE; |
---|
1006 | } |
---|
1007 | } |
---|
1008 | WerrorS("setMultiplicity: unexpected parameters"); |
---|
1009 | return TRUE; |
---|
1010 | } |
---|
1011 | |
---|
1012 | BOOLEAN setLinearForms(leftv res, leftv args) |
---|
1013 | { |
---|
1014 | leftv u = args; |
---|
1015 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
1016 | { |
---|
1017 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
1018 | leftv v = u->next; |
---|
1019 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTVEC_CMD))) |
---|
1020 | { |
---|
1021 | bigintmat* mat=NULL; |
---|
1022 | if (v->Typ() == INTVEC_CMD) |
---|
1023 | { |
---|
1024 | intvec* mat0 = (intvec*) v->Data(); |
---|
1025 | mat = iv2bim(mat0,coeffs_BIGINT)->transpose(); |
---|
1026 | } |
---|
1027 | else |
---|
1028 | mat = (bigintmat*) v->Data(); |
---|
1029 | gfan::ZMatrix* zm = bigintmatToZMatrix(mat); |
---|
1030 | zc->setLinearForms(*zm); |
---|
1031 | res->rtyp = NONE; |
---|
1032 | res->data = NULL; |
---|
1033 | |
---|
1034 | delete zm; |
---|
1035 | if (v->Typ() == INTVEC_CMD) |
---|
1036 | delete mat; |
---|
1037 | return FALSE; |
---|
1038 | } |
---|
1039 | } |
---|
1040 | WerrorS("setLinearForms: unexpected parameters"); |
---|
1041 | return TRUE; |
---|
1042 | } |
---|
1043 | |
---|
1044 | gfan::ZMatrix liftUp(const gfan::ZMatrix &zm) |
---|
1045 | { |
---|
1046 | int r=zm.getHeight(); |
---|
1047 | int c=zm.getWidth(); |
---|
1048 | gfan::ZMatrix zn(r+1,c+1); |
---|
1049 | zn[1][1]=1; |
---|
1050 | for (int i=0; i<r; i++) |
---|
1051 | for (int j=0; j<c; j++) |
---|
1052 | zn[i+1][j+1]=zm[i][j]; |
---|
1053 | return zn; |
---|
1054 | } |
---|
1055 | |
---|
1056 | gfan::ZCone liftUp(const gfan::ZCone &zc) |
---|
1057 | { |
---|
1058 | gfan::ZMatrix ineq=zc.getInequalities(); |
---|
1059 | gfan::ZMatrix eq=zc.getEquations(); |
---|
1060 | gfan::ZCone zd(liftUp(ineq),liftUp(eq)); |
---|
1061 | return zd; |
---|
1062 | } |
---|
1063 | |
---|
1064 | BOOLEAN coneToPolytope(leftv res, leftv args) |
---|
1065 | { |
---|
1066 | leftv u = args; |
---|
1067 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
1068 | { |
---|
1069 | gfan::ZCone* zc = (gfan::ZCone*) u->Data(); |
---|
1070 | gfan::ZMatrix ineq=zc->getInequalities(); |
---|
1071 | gfan::ZMatrix eq=zc->getEquations(); |
---|
1072 | gfan::ZCone* zd = new gfan::ZCone(liftUp(ineq),liftUp(eq)); |
---|
1073 | res->rtyp = polytopeID; |
---|
1074 | res->data = (void*) zd; |
---|
1075 | return FALSE; |
---|
1076 | } |
---|
1077 | WerrorS("makePolytope: unexpected parameters"); |
---|
1078 | return TRUE; |
---|
1079 | } |
---|
1080 | |
---|
1081 | BOOLEAN intersectCones(leftv res, leftv args) |
---|
1082 | { |
---|
1083 | leftv u = args; |
---|
1084 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
1085 | { |
---|
1086 | leftv v = u->next; |
---|
1087 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
1088 | { |
---|
1089 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
1090 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
1091 | int d1 = zc1->ambientDimension(); |
---|
1092 | int d2 = zc2->ambientDimension(); |
---|
1093 | if (d1 != d2) |
---|
1094 | { |
---|
1095 | Werror("expected ambient dims of both cones to coincide\n" |
---|
1096 | "but got %d and %d", d1, d2); |
---|
1097 | return TRUE; |
---|
1098 | } |
---|
1099 | gfan::ZCone zc3 = gfan::intersection(*zc1, *zc2); |
---|
1100 | zc3.canonicalize(); |
---|
1101 | res->rtyp = coneID; |
---|
1102 | res->data = (void *)new gfan::ZCone(zc3); |
---|
1103 | return FALSE; |
---|
1104 | } |
---|
1105 | if ((v != NULL) && (v->Typ() == polytopeID)) |
---|
1106 | { |
---|
1107 | gfan::ZCone* zc11 = (gfan::ZCone*)u->Data(); |
---|
1108 | gfan::ZCone zc1 = liftUp(*zc11); |
---|
1109 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
1110 | int d1 = zc1.ambientDimension(); |
---|
1111 | int d2 = zc2->ambientDimension(); |
---|
1112 | if (d1 != d2) |
---|
1113 | { |
---|
1114 | Werror("expected ambient dims of both cones to coincide\n" |
---|
1115 | "but got %d and %d", d1, d2); |
---|
1116 | return TRUE; |
---|
1117 | } |
---|
1118 | gfan::ZCone zc3 = gfan::intersection(zc1, *zc2); |
---|
1119 | zc3.canonicalize(); |
---|
1120 | res->rtyp = polytopeID; |
---|
1121 | res->data = (void *)new gfan::ZCone(zc3); |
---|
1122 | return FALSE; |
---|
1123 | } |
---|
1124 | } |
---|
1125 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
1126 | { |
---|
1127 | leftv v = u->next; |
---|
1128 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
1129 | { |
---|
1130 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
1131 | gfan::ZCone* zc22 = (gfan::ZCone*)v->Data(); |
---|
1132 | gfan::ZCone zc2 = liftUp(*zc22); |
---|
1133 | int d1 = zc1->ambientDimension(); |
---|
1134 | int d2 = zc2.ambientDimension(); |
---|
1135 | if (d1 != d2) |
---|
1136 | { |
---|
1137 | Werror("expected ambient dims of both cones to coincide\n" |
---|
1138 | "but got %d and %d", d1, d2); |
---|
1139 | return TRUE; |
---|
1140 | } |
---|
1141 | gfan::ZCone zc3 = gfan::intersection(*zc1, zc2); |
---|
1142 | zc3.canonicalize(); |
---|
1143 | res->rtyp = polytopeID; |
---|
1144 | res->data = (void *)new gfan::ZCone(zc3); |
---|
1145 | return FALSE; |
---|
1146 | } |
---|
1147 | if ((v != NULL) && (v->Typ() == polytopeID)) |
---|
1148 | { |
---|
1149 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
1150 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
1151 | int d1 = zc1->ambientDimension(); |
---|
1152 | int d2 = zc2->ambientDimension(); |
---|
1153 | if (d1 != d2) |
---|
1154 | { |
---|
1155 | Werror("expected ambient dims of both cones to coincide\n" |
---|
1156 | "but got %d and %d", d1, d2); |
---|
1157 | return TRUE; |
---|
1158 | } |
---|
1159 | gfan::ZCone zc3 = gfan::intersection(*zc1, *zc2); |
---|
1160 | zc3.canonicalize(); |
---|
1161 | res->rtyp = polytopeID; |
---|
1162 | res->data = (void *)new gfan::ZCone(zc3); |
---|
1163 | return FALSE; |
---|
1164 | } |
---|
1165 | } |
---|
1166 | WerrorS("convexIntersection: unexpected parameters"); |
---|
1167 | return TRUE; |
---|
1168 | } |
---|
1169 | |
---|
1170 | BOOLEAN convexHull(leftv res, leftv args) |
---|
1171 | { |
---|
1172 | leftv u = args; |
---|
1173 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
1174 | { |
---|
1175 | leftv v = u->next; |
---|
1176 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
1177 | { |
---|
1178 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
1179 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
1180 | int d1 = zc1->ambientDimension(); |
---|
1181 | int d2 = zc2->ambientDimension(); |
---|
1182 | if (d1 != d2) |
---|
1183 | { |
---|
1184 | Werror("expected ambient dims of both cones to coincide\n" |
---|
1185 | "but got %d and %d", d1, d2); |
---|
1186 | return TRUE; |
---|
1187 | } |
---|
1188 | gfan::ZMatrix zm1 = zc1->extremeRays(); |
---|
1189 | gfan::ZMatrix zm2 = zc2->extremeRays(); |
---|
1190 | gfan::ZMatrix zn1 = zc1->generatorsOfLinealitySpace(); |
---|
1191 | gfan::ZMatrix zn2 = zc2->generatorsOfLinealitySpace(); |
---|
1192 | gfan::ZMatrix zm = combineOnTop(zm1,zm2); |
---|
1193 | gfan::ZMatrix zn = combineOnTop(zn1,zn2); |
---|
1194 | gfan::ZCone* zc = new gfan::ZCone(); |
---|
1195 | *zc = gfan::ZCone::givenByRays(zm, zn); |
---|
1196 | res->rtyp = coneID; |
---|
1197 | res->data = (void*) zc; |
---|
1198 | return FALSE; |
---|
1199 | } |
---|
1200 | if ((v != NULL) && (v->Typ() == polytopeID)) |
---|
1201 | { |
---|
1202 | gfan::ZCone* zc11 = (gfan::ZCone*)u->Data(); |
---|
1203 | gfan::ZCone zc1 = liftUp(*zc11); |
---|
1204 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
1205 | int d1 = zc1.ambientDimension()-1; |
---|
1206 | int d2 = zc2->ambientDimension()-1; |
---|
1207 | if (d1 != d2) |
---|
1208 | { |
---|
1209 | Werror("expected ambient dims of both cones to coincide\n" |
---|
1210 | "but got %d and %d", d1, d2); |
---|
1211 | return TRUE; |
---|
1212 | } |
---|
1213 | gfan::ZMatrix zm1 = zc1.extremeRays(); |
---|
1214 | gfan::ZMatrix zm2 = zc2->extremeRays(); |
---|
1215 | gfan::ZMatrix zn = zc1.generatorsOfLinealitySpace(); |
---|
1216 | gfan::ZMatrix zm = combineOnTop(zm1,zm2); |
---|
1217 | gfan::ZCone* zc = new gfan::ZCone(); |
---|
1218 | *zc = gfan::ZCone::givenByRays(zm, zn); |
---|
1219 | res->rtyp = polytopeID; |
---|
1220 | res->data = (void*) zc; |
---|
1221 | return FALSE; |
---|
1222 | } |
---|
1223 | } |
---|
1224 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
1225 | { |
---|
1226 | leftv v = u->next; |
---|
1227 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
1228 | { |
---|
1229 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
1230 | gfan::ZCone* zc22 = (gfan::ZCone*)v->Data(); |
---|
1231 | gfan::ZCone zc2 = liftUp(*zc22); |
---|
1232 | int d1 = zc1->ambientDimension()-1; |
---|
1233 | int d2 = zc2.ambientDimension()-1; |
---|
1234 | if (d1 != d2) |
---|
1235 | { |
---|
1236 | Werror("expected ambient dims of both cones to coincide\n" |
---|
1237 | "but got %d and %d", d1, d2); |
---|
1238 | return TRUE; |
---|
1239 | } |
---|
1240 | gfan::ZMatrix zm1 = zc1->extremeRays(); |
---|
1241 | gfan::ZMatrix zm2 = zc2.extremeRays(); |
---|
1242 | gfan::ZMatrix zn = zc2.generatorsOfLinealitySpace(); |
---|
1243 | gfan::ZMatrix zm = combineOnTop(zm1,zm2); |
---|
1244 | gfan::ZCone* zc = new gfan::ZCone(); |
---|
1245 | *zc = gfan::ZCone::givenByRays(zm,gfan::ZMatrix(0, zm.getWidth())); |
---|
1246 | res->rtyp = polytopeID; |
---|
1247 | res->data = (void*) zc; |
---|
1248 | return FALSE; |
---|
1249 | } |
---|
1250 | if ((v != NULL) && (v->Typ() == polytopeID)) |
---|
1251 | { |
---|
1252 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
1253 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
1254 | int d1 = zc1->ambientDimension()-1; |
---|
1255 | int d2 = zc2->ambientDimension()-1; |
---|
1256 | if (d1 != d2) |
---|
1257 | { |
---|
1258 | Werror("expected ambient dims of both cones to coincide\n" |
---|
1259 | "but got %d and %d", d1, d2); |
---|
1260 | return TRUE; |
---|
1261 | } |
---|
1262 | gfan::ZMatrix zm1 = zc1->extremeRays(); |
---|
1263 | gfan::ZMatrix zm2 = zc2->extremeRays(); |
---|
1264 | gfan::ZMatrix zm = combineOnTop(zm1,zm2); |
---|
1265 | gfan::ZCone* zc = new gfan::ZCone(); |
---|
1266 | *zc = gfan::ZCone::givenByRays(zm,gfan::ZMatrix(0, zm.getWidth())); |
---|
1267 | res->rtyp = polytopeID; |
---|
1268 | res->data = (void*) zc; |
---|
1269 | return FALSE; |
---|
1270 | } |
---|
1271 | } |
---|
1272 | WerrorS("convexHull: unexpected parameters"); |
---|
1273 | return TRUE; |
---|
1274 | } |
---|
1275 | |
---|
1276 | BOOLEAN coneLink(leftv res, leftv args) |
---|
1277 | { |
---|
1278 | leftv u = args; |
---|
1279 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
1280 | { |
---|
1281 | leftv v = u->next; |
---|
1282 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTVEC_CMD))) |
---|
1283 | { |
---|
1284 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
1285 | bigintmat* iv = NULL; |
---|
1286 | if (v->Typ() == INTVEC_CMD) |
---|
1287 | { |
---|
1288 | intvec* iv0 = (intvec*) v->Data(); |
---|
1289 | iv = iv2bim(iv0,coeffs_BIGINT)->transpose(); |
---|
1290 | } |
---|
1291 | else |
---|
1292 | iv = (bigintmat*)v->Data(); |
---|
1293 | gfan::ZVector* zv = bigintmatToZVector(iv); |
---|
1294 | int d1 = zc->ambientDimension(); |
---|
1295 | int d2 = zv->size(); |
---|
1296 | if (d1 != d2) |
---|
1297 | { |
---|
1298 | Werror("expected ambient dim of cone and size of vector\n" |
---|
1299 | " to be equal but got %d and %d", d1, d2); |
---|
1300 | return TRUE; |
---|
1301 | } |
---|
1302 | if(!zc->contains(*zv)) |
---|
1303 | { |
---|
1304 | WerrorS("the provided intvec does not lie in the cone"); |
---|
1305 | return TRUE; |
---|
1306 | } |
---|
1307 | gfan::ZCone* zd = new gfan::ZCone(zc->link(*zv)); |
---|
1308 | res->rtyp = coneID; |
---|
1309 | res->data = (void *) zd; |
---|
1310 | |
---|
1311 | delete zv; |
---|
1312 | if (v->Typ() == INTMAT_CMD) |
---|
1313 | delete iv; |
---|
1314 | return FALSE; |
---|
1315 | } |
---|
1316 | } |
---|
1317 | WerrorS("coneLink: unexpected parameters"); |
---|
1318 | return TRUE; |
---|
1319 | } |
---|
1320 | |
---|
1321 | BOOLEAN containsInSupport(leftv res, leftv args) |
---|
1322 | { |
---|
1323 | leftv u=args; |
---|
1324 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
1325 | { |
---|
1326 | leftv v=u->next; |
---|
1327 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
1328 | { |
---|
1329 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
1330 | gfan::ZCone* zd = (gfan::ZCone*)v->Data(); |
---|
1331 | int d1 = zc->ambientDimension(); |
---|
1332 | int d2 = zd->ambientDimension(); |
---|
1333 | if (d1 != d2) |
---|
1334 | { |
---|
1335 | Werror("expected cones with same ambient dimensions\n but got" |
---|
1336 | " dimensions %d and %d", d1, d2); |
---|
1337 | return TRUE; |
---|
1338 | } |
---|
1339 | bool b = (zc->contains(*zd) ? 1 : 0); |
---|
1340 | res->rtyp = INT_CMD; |
---|
1341 | res->data = (void*) (long) b; |
---|
1342 | return FALSE; |
---|
1343 | } |
---|
1344 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTVEC_CMD))) |
---|
1345 | { |
---|
1346 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
1347 | bigintmat* iv = NULL; |
---|
1348 | if (v->Typ() == INTVEC_CMD) |
---|
1349 | { |
---|
1350 | intvec* iv0 = (intvec*) v->Data(); |
---|
1351 | iv = iv2bim(iv0,coeffs_BIGINT)->transpose(); |
---|
1352 | } |
---|
1353 | else |
---|
1354 | iv = (bigintmat*)v->Data(); |
---|
1355 | |
---|
1356 | gfan::ZVector* zv = bigintmatToZVector(iv); |
---|
1357 | int d1 = zc->ambientDimension(); |
---|
1358 | int d2 = zv->size(); |
---|
1359 | if (d1 != d2) |
---|
1360 | { |
---|
1361 | Werror("expected cones with same ambient dimensions\n but got" |
---|
1362 | " dimensions %d and %d", d1, d2); |
---|
1363 | return TRUE; |
---|
1364 | } |
---|
1365 | int b = zc->contains(*zv); |
---|
1366 | res->rtyp = INT_CMD; |
---|
1367 | res->data = (void*) (long) b; |
---|
1368 | |
---|
1369 | delete zv; |
---|
1370 | if (v->Typ() == INTMAT_CMD) |
---|
1371 | delete iv; |
---|
1372 | return FALSE; |
---|
1373 | } |
---|
1374 | } |
---|
1375 | WerrorS("containsInSupport: unexpected parameters"); |
---|
1376 | return TRUE; |
---|
1377 | } |
---|
1378 | |
---|
1379 | BOOLEAN containsRelatively(leftv res, leftv args) |
---|
1380 | { |
---|
1381 | leftv u = args; |
---|
1382 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
1383 | { |
---|
1384 | leftv v = u->next; |
---|
1385 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTVEC_CMD))) |
---|
1386 | { |
---|
1387 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
1388 | bigintmat* iv = NULL; |
---|
1389 | if (v->Typ() == INTVEC_CMD) |
---|
1390 | { |
---|
1391 | intvec* iv0 = (intvec*) v->Data(); |
---|
1392 | iv = iv2bim(iv0,coeffs_BIGINT)->transpose(); |
---|
1393 | } |
---|
1394 | else |
---|
1395 | iv = (bigintmat*)v->Data(); |
---|
1396 | gfan::ZVector* zv = bigintmatToZVector(iv); |
---|
1397 | int d1 = zc->ambientDimension(); |
---|
1398 | int d2 = zv->size(); |
---|
1399 | if (d1 == d2) |
---|
1400 | { |
---|
1401 | bool b = (zc->containsRelatively(*zv) ? 1 : 0); |
---|
1402 | res->rtyp = INT_CMD; |
---|
1403 | res->data = (void *) b; |
---|
1404 | delete zv; |
---|
1405 | if (v->Typ() == INTMAT_CMD) |
---|
1406 | delete iv; |
---|
1407 | return FALSE; |
---|
1408 | } |
---|
1409 | delete zv; |
---|
1410 | if (v->Typ() == INTMAT_CMD) |
---|
1411 | delete iv; |
---|
1412 | Werror("expected ambient dim of cone and size of vector\n" |
---|
1413 | "to be equal but got %d and %d", d1, d2); |
---|
1414 | } |
---|
1415 | } |
---|
1416 | WerrorS("containsRelatively: unexpected parameters"); |
---|
1417 | return TRUE; |
---|
1418 | } |
---|
1419 | |
---|
1420 | BOOLEAN hasFace(leftv res, leftv args) |
---|
1421 | { |
---|
1422 | leftv u=args; |
---|
1423 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
1424 | { |
---|
1425 | leftv v=u->next; |
---|
1426 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
1427 | { |
---|
1428 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
1429 | gfan::ZCone* zd = (gfan::ZCone*)v->Data(); |
---|
1430 | bool b = zc->hasFace(*zd); |
---|
1431 | res->rtyp = INT_CMD; |
---|
1432 | res->data = (void*) (long) b; |
---|
1433 | return FALSE; |
---|
1434 | } |
---|
1435 | } |
---|
1436 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
1437 | { |
---|
1438 | leftv v=u->next; |
---|
1439 | if ((v != NULL) && (v->Typ() == polytopeID)) |
---|
1440 | { |
---|
1441 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
1442 | gfan::ZCone* zd = (gfan::ZCone*)v->Data(); |
---|
1443 | bool b = zc->hasFace(*zd); |
---|
1444 | res->rtyp = INT_CMD; |
---|
1445 | res->data = (void*) (long) b; |
---|
1446 | return FALSE; |
---|
1447 | } |
---|
1448 | } |
---|
1449 | WerrorS("containsAsFace: unexpected parameters"); |
---|
1450 | return TRUE; |
---|
1451 | } |
---|
1452 | |
---|
1453 | BOOLEAN canonicalizeCone(leftv res, leftv args) |
---|
1454 | { |
---|
1455 | leftv u=args; |
---|
1456 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
1457 | { |
---|
1458 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
1459 | gfan::ZCone* zd = new gfan::ZCone(*zc); |
---|
1460 | zd->canonicalize(); |
---|
1461 | res->rtyp = coneID; |
---|
1462 | res->data = (void*) zd; |
---|
1463 | return FALSE; |
---|
1464 | } |
---|
1465 | WerrorS("canonicalizeCone: unexpected parameters"); |
---|
1466 | return TRUE; |
---|
1467 | } |
---|
1468 | |
---|
1469 | BOOLEAN containsCone(leftv res, leftv args) |
---|
1470 | { |
---|
1471 | leftv u=args; |
---|
1472 | if ((u != NULL) && (u->Typ() == LIST_CMD)) |
---|
1473 | { |
---|
1474 | leftv v=u->next; |
---|
1475 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
1476 | { |
---|
1477 | lists l = (lists) u->Data(); |
---|
1478 | gfan::ZCone* zc = (gfan::ZCone*) v->Data(); |
---|
1479 | zc->canonicalize(); |
---|
1480 | int b = 0; |
---|
1481 | for (int i=0; i<=lSize(l); i++) |
---|
1482 | { |
---|
1483 | if (l->m[i].Typ() != coneID) |
---|
1484 | { |
---|
1485 | WerrorS("containsCone: entries of wrong type in list"); |
---|
1486 | return TRUE; |
---|
1487 | } |
---|
1488 | gfan::ZCone* ll = (gfan::ZCone*) l->m[i].Data(); |
---|
1489 | ll->canonicalize(); |
---|
1490 | if (!((*ll) != (*zc))) |
---|
1491 | { |
---|
1492 | b = 1; |
---|
1493 | break; |
---|
1494 | } |
---|
1495 | } |
---|
1496 | res->rtyp = INT_CMD; |
---|
1497 | res->data = (char*) (long) b; |
---|
1498 | return FALSE; |
---|
1499 | } |
---|
1500 | } |
---|
1501 | WerrorS("containsCone: unexpected parameters"); |
---|
1502 | return TRUE; |
---|
1503 | } |
---|
1504 | |
---|
1505 | |
---|
1506 | lists listOfFacets(const gfan::ZCone &zc) |
---|
1507 | { |
---|
1508 | gfan::ZMatrix inequalities = zc.getFacets(); |
---|
1509 | gfan::ZMatrix equations = zc.getImpliedEquations(); |
---|
1510 | lists L = (lists)omAllocBin(slists_bin); |
---|
1511 | int r = inequalities.getHeight(); |
---|
1512 | int c = inequalities.getWidth(); |
---|
1513 | L->Init(r); |
---|
1514 | |
---|
1515 | /* next we iterate over each of the r facets, build the respective cone and add it to the list */ |
---|
1516 | /* this is the i=0 case */ |
---|
1517 | gfan::ZMatrix newInequalities = inequalities.submatrix(1,0,r,c); |
---|
1518 | gfan::ZMatrix newEquations = equations; |
---|
1519 | newEquations.appendRow(inequalities[0]); |
---|
1520 | L->m[0].rtyp = coneID; L->m[0].data=(void*) new gfan::ZCone(newInequalities,newEquations); |
---|
1521 | |
---|
1522 | /* these are the cases i=1,...,r-2 */ |
---|
1523 | for (int i=1; i<r-1; i++) |
---|
1524 | { |
---|
1525 | newInequalities = inequalities.submatrix(0,0,i-1,c); |
---|
1526 | newInequalities.append(inequalities.submatrix(i+1,0,r,c)); |
---|
1527 | newEquations = equations; |
---|
1528 | newEquations.appendRow(inequalities[i]); |
---|
1529 | L->m[i].rtyp = coneID; L->m[i].data=(void*) new gfan::ZCone(newInequalities,newEquations); |
---|
1530 | } |
---|
1531 | |
---|
1532 | /* this is the i=r-1 case */ |
---|
1533 | newInequalities = inequalities.submatrix(0,0,r-1,c); |
---|
1534 | newEquations = equations; |
---|
1535 | newEquations.appendRow(inequalities[r]); |
---|
1536 | L->m[r-1].rtyp = coneID; L->m[r-1].data=(void*) new gfan::ZCone(newInequalities,newEquations); |
---|
1537 | |
---|
1538 | return L; |
---|
1539 | } |
---|
1540 | |
---|
1541 | |
---|
1542 | BOOLEAN listOfFacets(leftv res, leftv args) |
---|
1543 | { |
---|
1544 | leftv u=args; |
---|
1545 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
1546 | { |
---|
1547 | gfan::ZCone* zc = (gfan::ZCone*) u->Data(); |
---|
1548 | lists L = listOfFacets(*zc); |
---|
1549 | res->rtyp = LIST_CMD; |
---|
1550 | res->data = (void*) L; |
---|
1551 | return FALSE; |
---|
1552 | } |
---|
1553 | WerrorS("listOfFacets: unexpected parameters"); |
---|
1554 | return TRUE; |
---|
1555 | } |
---|
1556 | |
---|
1557 | |
---|
1558 | /*** |
---|
1559 | * Given a cone and a point in its boundary, |
---|
1560 | * returns the inner normal vector of a facet |
---|
1561 | * containing the point. |
---|
1562 | * Unless the point is in the relative interior of the facet |
---|
1563 | * the facet is not unique. |
---|
1564 | * In case no facet contains the point, |
---|
1565 | * then 0 is returned. |
---|
1566 | **/ |
---|
1567 | gfan::ZVector* facetContaining(gfan::ZCone* zc, gfan::ZVector* zv) |
---|
1568 | { |
---|
1569 | gfan::ZMatrix facets = zc->getFacets(); |
---|
1570 | for (int i=0; i<facets.getHeight(); i++) |
---|
1571 | { |
---|
1572 | gfan::ZVector facet = facets[i]; |
---|
1573 | if (dot(facet,*zv) == (long) 0) |
---|
1574 | return new gfan::ZVector(facet); |
---|
1575 | } |
---|
1576 | return new gfan::ZVector(zc->ambientDimension()); |
---|
1577 | } |
---|
1578 | |
---|
1579 | |
---|
1580 | BOOLEAN facetContaining(leftv res, leftv args) |
---|
1581 | { |
---|
1582 | leftv u = args; |
---|
1583 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
1584 | { |
---|
1585 | leftv v = u->next; |
---|
1586 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTVEC_CMD))) |
---|
1587 | { |
---|
1588 | gfan::ZCone* zc = (gfan::ZCone*) u->Data(); |
---|
1589 | |
---|
1590 | bigintmat* point1; |
---|
1591 | if (v->Typ() == INTVEC_CMD) |
---|
1592 | { |
---|
1593 | intvec* point0 = (intvec*) v->Data(); |
---|
1594 | point1 = iv2bim(point0,coeffs_BIGINT)->transpose(); |
---|
1595 | } |
---|
1596 | else |
---|
1597 | point1 = (bigintmat*) v->Data(); |
---|
1598 | |
---|
1599 | gfan::ZVector* point = bigintmatToZVector(*point1); |
---|
1600 | gfan::ZVector* facet = facetContaining(zc, point); |
---|
1601 | |
---|
1602 | res->rtyp = BIGINTMAT_CMD; |
---|
1603 | res->data = (void*) zVectorToBigintmat(*facet); |
---|
1604 | |
---|
1605 | delete facet; |
---|
1606 | delete point; |
---|
1607 | if (v->Typ() == INTVEC_CMD) |
---|
1608 | delete point1; |
---|
1609 | return FALSE; |
---|
1610 | } |
---|
1611 | } |
---|
1612 | WerrorS("facetContaining: unexpected parameters"); |
---|
1613 | return TRUE; |
---|
1614 | } |
---|
1615 | |
---|
1616 | |
---|
1617 | /*** |
---|
1618 | * Computes a relative interior point for each facet of zc |
---|
1619 | **/ |
---|
1620 | gfan::ZMatrix interiorPointsOfFacets(const gfan::ZCone &zc, const std::set<gfan::ZVector> &exceptThese) |
---|
1621 | { |
---|
1622 | gfan::ZMatrix inequalities = zc.getFacets(); |
---|
1623 | gfan::ZMatrix equations = zc.getImpliedEquations(); |
---|
1624 | int r = inequalities.getHeight(); |
---|
1625 | int c = inequalities.getWidth(); |
---|
1626 | |
---|
1627 | /* our cone has r facets, if r==0 return empty matrices */ |
---|
1628 | gfan::ZMatrix relativeInteriorPoints = gfan::ZMatrix(0,c); |
---|
1629 | if (r==0) return relativeInteriorPoints; |
---|
1630 | |
---|
1631 | /* next we iterate over each of the r facets, |
---|
1632 | * build the respective cone and add it to the list |
---|
1633 | * this is the i=0 case */ |
---|
1634 | gfan::ZMatrix newInequalities = inequalities.submatrix(1,0,r,c); |
---|
1635 | gfan::ZMatrix newEquations = equations; |
---|
1636 | newEquations.appendRow(inequalities[0]); |
---|
1637 | gfan::ZCone facet = gfan::ZCone(newInequalities,newEquations); |
---|
1638 | facet.canonicalize(); |
---|
1639 | gfan::ZVector interiorPoint = facet.getRelativeInteriorPoint(); |
---|
1640 | if (exceptThese.count(interiorPoint)==0) |
---|
1641 | relativeInteriorPoints.appendRow(interiorPoint); |
---|
1642 | |
---|
1643 | /* these are the cases i=1,...,r-2 */ |
---|
1644 | for (int i=1; i<r-1; i++) |
---|
1645 | { |
---|
1646 | newInequalities = inequalities.submatrix(0,0,i,c); |
---|
1647 | newInequalities.append(inequalities.submatrix(i+1,0,r,c)); |
---|
1648 | newEquations = equations; |
---|
1649 | newEquations.appendRow(inequalities[i]); |
---|
1650 | facet = gfan::ZCone(newInequalities,newEquations); |
---|
1651 | facet.canonicalize(); |
---|
1652 | interiorPoint = facet.getRelativeInteriorPoint(); |
---|
1653 | if (exceptThese.count(interiorPoint)==0) |
---|
1654 | relativeInteriorPoints.appendRow(interiorPoint); |
---|
1655 | } |
---|
1656 | |
---|
1657 | /* this is the i=r-1 case */ |
---|
1658 | newInequalities = inequalities.submatrix(0,0,r-1,c); |
---|
1659 | newEquations = equations; |
---|
1660 | newEquations.appendRow(inequalities[r-1]); |
---|
1661 | facet = gfan::ZCone(newInequalities,newEquations); |
---|
1662 | facet.canonicalize(); |
---|
1663 | interiorPoint = facet.getRelativeInteriorPoint(); |
---|
1664 | if (exceptThese.count(interiorPoint)==0) |
---|
1665 | relativeInteriorPoints.appendRow(interiorPoint); |
---|
1666 | |
---|
1667 | return relativeInteriorPoints; |
---|
1668 | } |
---|
1669 | |
---|
1670 | |
---|
1671 | void bbcone_setup(SModulFunctions* p) |
---|
1672 | { |
---|
1673 | blackbox *b=(blackbox*)omAlloc0(sizeof(blackbox)); |
---|
1674 | // all undefined entries will be set to default in setBlackboxStuff |
---|
1675 | // the default Print is quite usefull, |
---|
1676 | // all other are simply error messages |
---|
1677 | b->blackbox_destroy=bbcone_destroy; |
---|
1678 | b->blackbox_String=bbcone_String; |
---|
1679 | // b->blackbox_Print=blackbox_default_Print; |
---|
1680 | b->blackbox_Init=bbcone_Init; |
---|
1681 | b->blackbox_Copy=bbcone_Copy; |
---|
1682 | b->blackbox_Assign=bbcone_Assign; |
---|
1683 | b->blackbox_Op2=bbcone_Op2; |
---|
1684 | p->iiAddCproc("","coneViaInequalities",FALSE,coneViaNormals); |
---|
1685 | p->iiAddCproc("","coneViaPoints",FALSE,coneViaRays); |
---|
1686 | |
---|
1687 | // iiAddCproc("","makePolytope",FALSE,coneToPolytope); |
---|
1688 | p->iiAddCproc("","ambientDimension",FALSE,ambientDimension); |
---|
1689 | p->iiAddCproc("","canonicalizeCone",FALSE,canonicalizeCone); |
---|
1690 | p->iiAddCproc("","codimension",FALSE,codimension); |
---|
1691 | p->iiAddCproc("","coneLink",FALSE,coneLink); |
---|
1692 | p->iiAddCproc("","containsAsFace",FALSE,hasFace); |
---|
1693 | p->iiAddCproc("","containsInSupport",FALSE,containsInSupport); |
---|
1694 | p->iiAddCproc("","containsPositiveVector",FALSE,containsPositiveVector); |
---|
1695 | p->iiAddCproc("","containsRelatively",FALSE,containsRelatively); |
---|
1696 | p->iiAddCproc("","convexHull",FALSE,convexHull); |
---|
1697 | p->iiAddCproc("","convexIntersection",FALSE,intersectCones); |
---|
1698 | p->iiAddCproc("","dimension",FALSE,dimension); |
---|
1699 | p->iiAddCproc("","dualCone",FALSE,dualCone); |
---|
1700 | p->iiAddCproc("","equations",FALSE,equations); |
---|
1701 | p->iiAddCproc("","facets",FALSE,facets); |
---|
1702 | p->iiAddCproc("","generatorsOfLinealitySpace",FALSE,generatorsOfLinealitySpace); |
---|
1703 | p->iiAddCproc("","generatorsOfSpan",FALSE,generatorsOfSpan); |
---|
1704 | p->iiAddCproc("","getLinearForms",FALSE,getLinearForms); |
---|
1705 | p->iiAddCproc("","getMultiplicity",FALSE,getMultiplicity); |
---|
1706 | p->iiAddCproc("","inequalities",FALSE,inequalities); |
---|
1707 | p->iiAddCproc("","isFullSpace",FALSE,isFullSpace); |
---|
1708 | p->iiAddCproc("","isOrigin",FALSE,isOrigin); |
---|
1709 | p->iiAddCproc("","isSimplicial",FALSE,isSimplicial); |
---|
1710 | p->iiAddCproc("","linealityDimension",FALSE,linealityDimension); |
---|
1711 | p->iiAddCproc("","linealitySpace",FALSE,linealitySpace); |
---|
1712 | p->iiAddCproc("","negatedCone",FALSE,negatedCone); |
---|
1713 | p->iiAddCproc("","quotientLatticeBasis",FALSE,quotientLatticeBasis); |
---|
1714 | p->iiAddCproc("","randomPoint",FALSE,randomPoint); |
---|
1715 | p->iiAddCproc("","rays",FALSE,rays); |
---|
1716 | p->iiAddCproc("","relativeInteriorPoint",FALSE,relativeInteriorPoint); |
---|
1717 | p->iiAddCproc("","semigroupGenerator",FALSE,semigroupGenerator); |
---|
1718 | p->iiAddCproc("","setLinearForms",FALSE,setLinearForms); |
---|
1719 | p->iiAddCproc("","setMultiplicity",FALSE,setMultiplicity); |
---|
1720 | p->iiAddCproc("","span",FALSE,impliedEquations); |
---|
1721 | p->iiAddCproc("","uniquePoint",FALSE,uniquePoint); |
---|
1722 | p->iiAddCproc("","listContainsCone",FALSE,containsCone); |
---|
1723 | p->iiAddCproc("","listOfFacets",FALSE,listOfFacets); |
---|
1724 | p->iiAddCproc("","facetContaining",FALSE,facetContaining); |
---|
1725 | coneID=setBlackboxStuff(b,"cone"); |
---|
1726 | } |
---|
1727 | |
---|
1728 | #endif |
---|