[81384b] | 1 | #include <kernel/mod2.h> |
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| 2 | |
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[9996416] | 3 | #if HAVE_GFANLIB |
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| 4 | |
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[14814e3] | 5 | #include <misc/intvec.h> |
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| 6 | #include <misc/sirandom.h> |
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[810491] | 7 | |
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[14814e3] | 8 | #include <coeffs/bigintmat.h> |
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[810491] | 9 | #include <coeffs/longrat.h> |
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[81384b] | 10 | |
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[9996416] | 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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[81384b] | 14 | |
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[086e32] | 15 | #include <Singular/links/ssiLink.h> |
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| 16 | |
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[c89014] | 17 | #include <callgfanlib_conversion.h> |
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[a73fae] | 18 | #include <sstream> |
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[81384b] | 19 | |
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[9996416] | 20 | #include <gfanlib/gfanlib.h> |
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| 21 | #include <gfanlib/gfanlib_q.h> |
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| 22 | |
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[5d0cbd] | 23 | #include <bbfan.h> |
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| 24 | #include <bbpolytope.h> |
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[9996416] | 25 | |
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[81384b] | 26 | int coneID; |
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| 27 | |
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| 28 | std::string toString(const gfan::ZCone* const c) |
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| 29 | { |
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| 30 | std::stringstream s; |
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| 31 | s<<"AMBIENT_DIM"<<std::endl; |
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| 32 | s<<c->ambientDimension()<<std::endl; |
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[c8e115] | 33 | |
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| 34 | gfan::ZMatrix i=c->getInequalities(); |
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| 35 | char* ineqs = toString(i); |
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[81384b] | 36 | if (c->areFacetsKnown()) |
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| 37 | s<<"FACETS"<<std::endl; |
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| 38 | else |
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| 39 | s<<"INEQUALITIES"<<std::endl; |
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[c8e115] | 40 | if (ineqs!=NULL) |
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| 41 | { |
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| 42 | s<<ineqs<<std::endl; |
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[0f79d9] | 43 | omFree(ineqs); |
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[c8e115] | 44 | } |
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| 45 | |
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| 46 | gfan::ZMatrix e=c->getEquations(); |
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| 47 | char* eqs = toString(e); |
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[81384b] | 48 | if (c->areImpliedEquationsKnown()) |
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| 49 | s<<"LINEAR_SPAN"<<std::endl; |
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| 50 | else |
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| 51 | s<<"EQUATIONS"<<std::endl; |
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[c8e115] | 52 | if (eqs!=NULL) |
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| 53 | { |
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| 54 | s<<eqs<<std::endl; |
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[0f79d9] | 55 | omFree(eqs); |
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[c8e115] | 56 | } |
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| 57 | |
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| 58 | if (c->areExtremeRaysKnown()) |
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| 59 | { |
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| 60 | gfan::ZMatrix r=c->extremeRays(); |
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| 61 | char* rs = toString(r); |
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| 62 | s<<"RAYS"<<std::endl; |
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| 63 | if (rs!=NULL) |
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| 64 | { |
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| 65 | s<<rs<<std::endl; |
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[0f79d9] | 66 | omFree(rs); |
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[c8e115] | 67 | } |
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| 68 | gfan::ZMatrix l=c->generatorsOfLinealitySpace(); |
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| 69 | char* ls = toString(l); |
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| 70 | s<<"LINEALITY_SPACE"<<std::endl; |
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| 71 | if (ls!=NULL) |
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| 72 | { |
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| 73 | s<<ls<<std::endl; |
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[0f79d9] | 74 | omFree(ls); |
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[c8e115] | 75 | } |
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| 76 | } |
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| 77 | |
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[81384b] | 78 | return s.str(); |
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| 79 | } |
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| 80 | |
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[69b2c1] | 81 | void* bbcone_Init(blackbox* /*b*/) |
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[81384b] | 82 | { |
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| 83 | return (void*)(new gfan::ZCone()); |
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| 84 | } |
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| 85 | |
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| 86 | BOOLEAN bbcone_Assign(leftv l, leftv r) |
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| 87 | { |
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| 88 | gfan::ZCone* newZc; |
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| 89 | if (r==NULL) |
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| 90 | { |
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| 91 | if (l->Data()!=NULL) |
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| 92 | { |
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| 93 | gfan::ZCone* zd = (gfan::ZCone*)l->Data(); |
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| 94 | delete zd; |
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| 95 | } |
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| 96 | newZc = new gfan::ZCone(); |
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| 97 | } |
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| 98 | else if (r->Typ()==l->Typ()) |
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| 99 | { |
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| 100 | if (l->Data()!=NULL) |
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| 101 | { |
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| 102 | gfan::ZCone* zd = (gfan::ZCone*)l->Data(); |
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| 103 | delete zd; |
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| 104 | } |
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[4b47563] | 105 | newZc = (gfan::ZCone*)r->CopyD(); |
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[81384b] | 106 | } |
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| 107 | else if (r->Typ()==INT_CMD) |
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| 108 | { |
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| 109 | int ambientDim = (int)(long)r->Data(); |
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| 110 | if (ambientDim < 0) |
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| 111 | { |
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| 112 | Werror("expected an int >= 0, but got %d", ambientDim); |
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| 113 | return TRUE; |
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| 114 | } |
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| 115 | if (l->Data()!=NULL) |
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| 116 | { |
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| 117 | gfan::ZCone* zd = (gfan::ZCone*)l->Data(); |
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| 118 | delete zd; |
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| 119 | } |
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| 120 | newZc = new gfan::ZCone(ambientDim); |
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| 121 | } |
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| 122 | else |
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| 123 | { |
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| 124 | Werror("assign Type(%d) = Type(%d) not implemented",l->Typ(),r->Typ()); |
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| 125 | return TRUE; |
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| 126 | } |
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| 127 | |
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| 128 | if (l->rtyp==IDHDL) |
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| 129 | { |
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| 130 | IDDATA((idhdl)l->data)=(char*) newZc; |
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| 131 | } |
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| 132 | else |
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| 133 | { |
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| 134 | l->data=(void *)newZc; |
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| 135 | } |
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| 136 | return FALSE; |
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| 137 | } |
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| 138 | |
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[69b2c1] | 139 | char* bbcone_String(blackbox* /*b*/, void *d) |
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[81384b] | 140 | { |
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| 141 | if (d==NULL) return omStrDup("invalid object"); |
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| 142 | else |
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| 143 | { |
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| 144 | std::string s=toString((gfan::ZCone*) d); |
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| 145 | return omStrDup(s.c_str()); |
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| 146 | } |
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| 147 | } |
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| 148 | |
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[69b2c1] | 149 | void bbcone_destroy(blackbox* /*b*/, void *d) |
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[81384b] | 150 | { |
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| 151 | if (d!=NULL) |
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| 152 | { |
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| 153 | gfan::ZCone* zc = (gfan::ZCone*) d; |
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| 154 | delete zc; |
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| 155 | } |
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| 156 | } |
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| 157 | |
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[69b2c1] | 158 | void* bbcone_Copy(blackbox* /*b*/, void *d) |
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[81384b] | 159 | { |
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| 160 | gfan::ZCone* zc = (gfan::ZCone*)d; |
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| 161 | gfan::ZCone* newZc = new gfan::ZCone(*zc); |
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| 162 | return newZc; |
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| 163 | } |
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| 164 | |
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| 165 | static BOOLEAN bbcone_Op2(int op, leftv res, leftv i1, leftv i2) |
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| 166 | { |
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| 167 | gfan::ZCone* zp = (gfan::ZCone*) i1->Data(); |
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| 168 | switch(op) |
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| 169 | { |
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| 170 | case '&': |
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| 171 | { |
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| 172 | if (i2->Typ()==coneID) |
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| 173 | { |
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| 174 | gfan::ZCone* zq = (gfan::ZCone*) i2->Data(); |
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| 175 | int d1 = zp->ambientDimension(); |
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| 176 | int d2 = zq->ambientDimension(); |
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| 177 | if (d1 != d2) |
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| 178 | { |
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| 179 | WerrorS("mismatching ambient dimensions"); |
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| 180 | return TRUE; |
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| 181 | } |
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| 182 | gfan::ZCone* zs = new gfan::ZCone(); |
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| 183 | *zs = gfan::intersection(*zp, *zq); |
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| 184 | zs->canonicalize(); |
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| 185 | res->rtyp = coneID; |
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| 186 | res->data = (void*) zs; |
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| 187 | return FALSE; |
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| 188 | } |
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| 189 | return blackboxDefaultOp2(op,res,i1,i2); |
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| 190 | } |
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| 191 | case '|': |
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| 192 | { |
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| 193 | if(i2->Typ()==coneID) |
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| 194 | { |
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| 195 | gfan::ZCone* zq = (gfan::ZCone*) i2->Data(); |
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| 196 | int d1 = zp->ambientDimension(); |
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| 197 | int d2 = zq->ambientDimension(); |
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| 198 | if (d1 != d2) |
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| 199 | { |
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| 200 | WerrorS("mismatching ambient dimensions"); |
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| 201 | return TRUE; |
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| 202 | } |
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| 203 | gfan::ZMatrix rays = zp->extremeRays(); |
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| 204 | rays.append(zq->extremeRays()); |
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| 205 | gfan::ZMatrix lineality = zp->generatorsOfLinealitySpace(); |
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| 206 | lineality.append(zq->generatorsOfLinealitySpace()); |
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| 207 | gfan::ZCone* zs = new gfan::ZCone(); |
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| 208 | *zs = gfan::ZCone::givenByRays(rays,lineality); |
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| 209 | zs->canonicalize(); |
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| 210 | res->rtyp = coneID; |
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| 211 | res->data = (void*) zs; |
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| 212 | return FALSE; |
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| 213 | } |
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| 214 | return blackboxDefaultOp2(op,res,i1,i2); |
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| 215 | } |
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| 216 | case EQUAL_EQUAL: |
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| 217 | { |
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| 218 | if(i2->Typ()==coneID) |
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| 219 | { |
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| 220 | gfan::ZCone* zq = (gfan::ZCone*) i2->Data(); |
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| 221 | zp->canonicalize(); |
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| 222 | zq->canonicalize(); |
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| 223 | bool b = !((*zp)!=(*zq)); |
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| 224 | res->rtyp = INT_CMD; |
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| 225 | res->data = (void*) b; |
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| 226 | return FALSE; |
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| 227 | } |
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| 228 | return blackboxDefaultOp2(op,res,i1,i2); |
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| 229 | } |
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| 230 | default: |
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| 231 | return blackboxDefaultOp2(op,res,i1,i2); |
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| 232 | } |
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| 233 | return blackboxDefaultOp2(op,res,i1,i2); |
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| 234 | } |
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| 235 | |
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| 236 | |
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| 237 | /* singular wrapper for gfanlib functions */ |
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| 238 | static BOOLEAN jjCONENORMALS1(leftv res, leftv v) |
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| 239 | { |
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| 240 | /* method for generating a cone object from inequalities; |
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| 241 | valid parametrizations: (intmat) */ |
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| 242 | bigintmat* ineq = NULL; |
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| 243 | if (v->Typ() == INTMAT_CMD) |
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| 244 | { |
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| 245 | intvec* ineq0 = (intvec*) v->Data(); |
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| 246 | ineq = iv2bim(ineq0,coeffs_BIGINT); |
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| 247 | } |
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| 248 | else |
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| 249 | ineq = (bigintmat*) v->Data(); |
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| 250 | gfan::ZMatrix* zm = bigintmatToZMatrix(ineq); |
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| 251 | gfan::ZCone* zc = new gfan::ZCone(*zm, gfan::ZMatrix(0, zm->getWidth())); |
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| 252 | delete zm; |
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| 253 | if (v->Typ() == INTMAT_CMD) |
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| 254 | delete ineq; |
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| 255 | res->rtyp = coneID; |
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| 256 | res->data = (void*) zc; |
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| 257 | return FALSE; |
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| 258 | } |
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| 259 | |
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| 260 | static BOOLEAN jjCONENORMALS2(leftv res, leftv u, leftv v) |
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| 261 | { |
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| 262 | /* method for generating a cone object from iequalities, |
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| 263 | and equations (...) |
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| 264 | valid parametrizations: (intmat, intmat) |
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| 265 | Errors will be invoked in the following cases: |
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| 266 | - u and v have different numbers of columns */ |
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| 267 | bigintmat* ineq = NULL; bigintmat* eq = NULL; |
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| 268 | if (u->Typ() == INTMAT_CMD) |
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| 269 | { |
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| 270 | intvec* ineq0 = (intvec*) u->Data(); |
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| 271 | ineq = iv2bim(ineq0,coeffs_BIGINT); |
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| 272 | } |
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| 273 | else |
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| 274 | ineq = (bigintmat*) u->Data(); |
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| 275 | if (v->Typ() == INTMAT_CMD) |
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| 276 | { |
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| 277 | intvec* eq0 = (intvec*) v->Data(); |
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| 278 | eq = iv2bim(eq0,coeffs_BIGINT); |
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| 279 | } |
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| 280 | else |
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| 281 | eq = (bigintmat*) v->Data(); |
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| 282 | |
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| 283 | if (ineq->cols() != eq->cols()) |
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| 284 | { |
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| 285 | Werror("expected same number of columns but got %d vs. %d", |
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| 286 | ineq->cols(), eq->cols()); |
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| 287 | return TRUE; |
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| 288 | } |
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| 289 | gfan::ZMatrix* zm1 = bigintmatToZMatrix(ineq); |
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| 290 | gfan::ZMatrix* zm2 = bigintmatToZMatrix(eq); |
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| 291 | gfan::ZCone* zc = new gfan::ZCone(*zm1, *zm2); |
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| 292 | delete zm1; |
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| 293 | delete zm2; |
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| 294 | if (u->Typ() == INTMAT_CMD) |
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| 295 | delete ineq; |
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| 296 | if (v->Typ() == INTMAT_CMD) |
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| 297 | delete eq; |
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| 298 | res->rtyp = coneID; |
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| 299 | res->data = (void*) zc; |
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| 300 | return FALSE; |
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| 301 | } |
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| 302 | |
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| 303 | static BOOLEAN jjCONENORMALS3(leftv res, leftv u, leftv v, leftv w) |
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| 304 | { |
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| 305 | /* method for generating a cone object from inequalities, equations, |
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| 306 | and an integer k; |
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| 307 | valid parametrizations: (intmat, intmat, int); |
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| 308 | Errors will be invoked in the following cases: |
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| 309 | - u and v have different numbers of columns, |
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| 310 | - k not in [0..3]; |
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| 311 | if the 2^0-bit of k is set, then ... */ |
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| 312 | bigintmat* ineq = NULL; bigintmat* eq = NULL; |
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| 313 | if (u->Typ() == INTMAT_CMD) |
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| 314 | { |
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| 315 | intvec* ineq0 = (intvec*) u->Data(); |
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| 316 | ineq = iv2bim(ineq0,coeffs_BIGINT); |
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| 317 | } |
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| 318 | else |
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| 319 | ineq = (bigintmat*) u->Data(); |
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| 320 | if (v->Typ() == INTMAT_CMD) |
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| 321 | { |
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| 322 | intvec* eq0 = (intvec*) v->Data(); |
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| 323 | eq = iv2bim(eq0,coeffs_BIGINT); |
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| 324 | } |
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| 325 | else |
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| 326 | eq = (bigintmat*) v->Data(); |
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| 327 | if (ineq->cols() != eq->cols()) |
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| 328 | { |
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| 329 | Werror("expected same number of columns but got %d vs. %d", |
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| 330 | ineq->cols(), eq->cols()); |
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| 331 | return TRUE; |
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| 332 | } |
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| 333 | int k = (int)(long)w->Data(); |
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| 334 | if ((k < 0) || (k > 3)) |
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| 335 | { |
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| 336 | WerrorS("expected int argument in [0..3]"); |
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| 337 | return TRUE; |
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| 338 | } |
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| 339 | gfan::ZMatrix* zm1 = bigintmatToZMatrix(ineq); |
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| 340 | gfan::ZMatrix* zm2 = bigintmatToZMatrix(eq); |
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| 341 | gfan::ZCone* zc = new gfan::ZCone(*zm1, *zm2, k); |
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| 342 | delete zm1; |
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| 343 | delete zm2; |
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| 344 | if (u->Typ() == INTMAT_CMD) |
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| 345 | delete ineq; |
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| 346 | if (v->Typ() == INTMAT_CMD) |
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| 347 | delete eq; |
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| 348 | res->rtyp = coneID; |
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| 349 | res->data = (void*) zc; |
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| 350 | return FALSE; |
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| 351 | } |
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| 352 | |
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| 353 | BOOLEAN coneViaNormals(leftv res, leftv args) |
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| 354 | { |
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[5cea7a] | 355 | gfan::initializeCddlibIfRequired(); |
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[81384b] | 356 | leftv u = args; |
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| 357 | if ((u != NULL) && ((u->Typ() == BIGINTMAT_CMD) || (u->Typ() == INTMAT_CMD))) |
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| 358 | { |
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[5a1c78] | 359 | if (u->next == NULL) |
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| 360 | { |
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| 361 | BOOLEAN bo = jjCONENORMALS1(res, u); |
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| 362 | gfan::deinitializeCddlibIfRequired(); |
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| 363 | return bo; |
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| 364 | } |
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[81384b] | 365 | } |
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| 366 | leftv v = u->next; |
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| 367 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTMAT_CMD))) |
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| 368 | { |
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[5a1c78] | 369 | if (v->next == NULL) |
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| 370 | { |
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| 371 | BOOLEAN bo = jjCONENORMALS2(res, u, v); |
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| 372 | gfan::deinitializeCddlibIfRequired(); |
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| 373 | return bo; |
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| 374 | } |
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[81384b] | 375 | } |
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| 376 | leftv w = v->next; |
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| 377 | if ((w != NULL) && (w->Typ() == INT_CMD)) |
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| 378 | { |
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[5a1c78] | 379 | if (w->next == NULL) |
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| 380 | { |
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| 381 | BOOLEAN bo = jjCONENORMALS3(res, u, v, w); |
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| 382 | gfan::deinitializeCddlibIfRequired(); |
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| 383 | return bo; |
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| 384 | } |
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[81384b] | 385 | } |
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| 386 | WerrorS("coneViaInequalities: unexpected parameters"); |
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| 387 | return TRUE; |
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| 388 | } |
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| 389 | |
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| 390 | static BOOLEAN jjCONERAYS1(leftv res, leftv v) |
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| 391 | { |
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| 392 | /* method for generating a cone object from half-lines |
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| 393 | (cone = convex hull of the half-lines; note: there may be |
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| 394 | entire lines in the cone); |
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| 395 | valid parametrizations: (intmat) */ |
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| 396 | bigintmat* rays = NULL; |
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| 397 | if (v->Typ() == INTMAT_CMD) |
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| 398 | { |
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| 399 | intvec* rays0 = (intvec*) v->Data(); |
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| 400 | rays = iv2bim(rays0,coeffs_BIGINT); |
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| 401 | } |
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| 402 | else |
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| 403 | rays = (bigintmat*) v->Data(); |
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| 404 | |
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| 405 | gfan::ZMatrix* zm = bigintmatToZMatrix(rays); |
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| 406 | gfan::ZCone* zc = new gfan::ZCone(); |
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| 407 | *zc = gfan::ZCone::givenByRays(*zm, gfan::ZMatrix(0, zm->getWidth())); |
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| 408 | res->rtyp = coneID; |
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| 409 | res->data = (void*) zc; |
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| 410 | |
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| 411 | delete zm; |
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| 412 | if (v->Typ() == INTMAT_CMD) |
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| 413 | delete rays; |
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| 414 | return FALSE; |
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| 415 | } |
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| 416 | |
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| 417 | static BOOLEAN jjCONERAYS2(leftv res, leftv u, leftv v) |
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| 418 | { |
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| 419 | /* method for generating a cone object from half-lines, |
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| 420 | and lines (any point in the cone being the sum of a point |
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| 421 | in the convex hull of the half-lines and a point in the span |
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| 422 | of the lines; the second argument may contain or entirely consist |
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| 423 | of zero rows); |
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| 424 | valid parametrizations: (intmat, intmat) |
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| 425 | Errors will be invoked in the following cases: |
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| 426 | - u and v have different numbers of columns */ |
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| 427 | bigintmat* rays = NULL; bigintmat* linSpace = NULL; |
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| 428 | if (u->Typ() == INTMAT_CMD) |
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| 429 | { |
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| 430 | intvec* rays0 = (intvec*) u->Data(); |
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| 431 | rays = iv2bim(rays0,coeffs_BIGINT); |
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| 432 | } |
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| 433 | else |
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| 434 | rays = (bigintmat*) u->Data(); |
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| 435 | if (v->Typ() == INTMAT_CMD) |
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| 436 | { |
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| 437 | intvec* linSpace0 = (intvec*) v->Data(); |
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| 438 | linSpace = iv2bim(linSpace0,coeffs_BIGINT); |
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| 439 | } |
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| 440 | else |
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| 441 | linSpace = (bigintmat*) v->Data(); |
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| 442 | |
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| 443 | if (rays->cols() != linSpace->cols()) |
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| 444 | { |
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| 445 | Werror("expected same number of columns but got %d vs. %d", |
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| 446 | rays->cols(), linSpace->cols()); |
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| 447 | return TRUE; |
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| 448 | } |
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| 449 | gfan::ZMatrix* zm1 = bigintmatToZMatrix(rays); |
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| 450 | gfan::ZMatrix* zm2 = bigintmatToZMatrix(linSpace); |
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| 451 | gfan::ZCone* zc = new gfan::ZCone(); |
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| 452 | *zc = gfan::ZCone::givenByRays(*zm1, *zm2); |
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| 453 | res->rtyp = coneID; |
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| 454 | res->data = (void*) zc; |
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| 455 | |
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| 456 | delete zm1; |
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| 457 | delete zm2; |
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| 458 | if (u->Typ() == INTMAT_CMD) |
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| 459 | delete rays; |
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| 460 | if (v->Typ() == INTMAT_CMD) |
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| 461 | delete linSpace; |
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| 462 | return FALSE; |
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| 463 | } |
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| 464 | |
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| 465 | static BOOLEAN jjCONERAYS3(leftv res, leftv u, leftv v, leftv w) |
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| 466 | { |
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| 467 | /* method for generating a cone object from half-lines, |
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| 468 | and lines (any point in the cone being the sum of a point |
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| 469 | in the convex hull of the half-lines and a point in the span |
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| 470 | of the lines), and an integer k; |
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| 471 | valid parametrizations: (intmat, intmat, int); |
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| 472 | Errors will be invoked in the following cases: |
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| 473 | - u and v have different numbers of columns, |
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| 474 | - k not in [0..3]; |
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| 475 | if the 2^0-bit of k is set, then the lineality space is known |
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| 476 | to be the span of the provided lines; |
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| 477 | if the 2^1-bit of k is set, then the extreme rays are known: |
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| 478 | each half-line spans a (different) extreme ray */ |
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| 479 | bigintmat* rays = NULL; bigintmat* linSpace = NULL; |
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| 480 | if (u->Typ() == INTMAT_CMD) |
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| 481 | { |
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| 482 | intvec* rays0 = (intvec*) u->Data(); |
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| 483 | rays = iv2bim(rays0,coeffs_BIGINT); |
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| 484 | } |
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| 485 | else |
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| 486 | rays = (bigintmat*) u->Data(); |
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| 487 | if (v->Typ() == INTMAT_CMD) |
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| 488 | { |
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| 489 | intvec* linSpace0 = (intvec*) v->Data(); |
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| 490 | linSpace = iv2bim(linSpace0,coeffs_BIGINT); |
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| 491 | } |
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| 492 | else |
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| 493 | linSpace = (bigintmat*) v->Data(); |
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| 494 | |
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| 495 | if (rays->cols() != linSpace->cols()) |
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| 496 | { |
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| 497 | Werror("expected same number of columns but got %d vs. %d", |
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| 498 | rays->cols(), linSpace->cols()); |
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| 499 | return TRUE; |
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| 500 | } |
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| 501 | int k = (int)(long)w->Data(); |
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| 502 | if ((k < 0) || (k > 3)) |
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| 503 | { |
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| 504 | WerrorS("expected int argument in [0..3]"); |
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| 505 | return TRUE; |
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| 506 | } |
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| 507 | gfan::ZMatrix* zm1 = bigintmatToZMatrix(rays); |
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| 508 | gfan::ZMatrix* zm2 = bigintmatToZMatrix(linSpace); |
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| 509 | gfan::ZCone* zc = new gfan::ZCone(); |
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| 510 | *zc = gfan::ZCone::givenByRays(*zm1, *zm2); |
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| 511 | //k should be passed on to zc; not available yet |
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| 512 | res->rtyp = coneID; |
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| 513 | res->data = (void*) zc; |
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| 514 | |
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| 515 | delete zm1; |
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| 516 | delete zm2; |
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| 517 | if (u->Typ() == INTMAT_CMD) |
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| 518 | delete rays; |
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| 519 | if (v->Typ() == INTMAT_CMD) |
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| 520 | delete linSpace; |
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| 521 | return FALSE; |
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| 522 | } |
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| 523 | |
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| 524 | BOOLEAN coneViaRays(leftv res, leftv args) |
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| 525 | { |
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[5cea7a] | 526 | gfan::initializeCddlibIfRequired(); |
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[81384b] | 527 | leftv u = args; |
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| 528 | if ((u != NULL) && ((u->Typ() == BIGINTMAT_CMD) || (u->Typ() == INTMAT_CMD))) |
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| 529 | { |
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[5a1c78] | 530 | if (u->next == NULL) |
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| 531 | { |
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| 532 | BOOLEAN bo = jjCONERAYS1(res, u); |
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| 533 | gfan::deinitializeCddlibIfRequired(); |
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| 534 | return bo; |
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| 535 | } |
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[81384b] | 536 | leftv v = u->next; |
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| 537 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTMAT_CMD))) |
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| 538 | { |
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[5a1c78] | 539 | if (v->next == NULL) |
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| 540 | { |
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| 541 | BOOLEAN bo = jjCONERAYS2(res, u, v); |
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| 542 | gfan::deinitializeCddlibIfRequired(); |
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| 543 | return bo; |
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| 544 | } |
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[81384b] | 545 | leftv w = v->next; |
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| 546 | if ((w != NULL) && (w->Typ() == INT_CMD)) |
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| 547 | { |
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[5a1c78] | 548 | if (w->next == NULL) |
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| 549 | { |
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| 550 | BOOLEAN bo = jjCONERAYS3(res, u, v, w); |
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| 551 | gfan::deinitializeCddlibIfRequired(); |
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| 552 | return bo; |
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| 553 | } |
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[81384b] | 554 | } |
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| 555 | } |
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| 556 | } |
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| 557 | WerrorS("coneViaPoints: unexpected parameters"); |
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| 558 | return TRUE; |
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| 559 | } |
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| 560 | |
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| 561 | BOOLEAN inequalities(leftv res, leftv args) |
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| 562 | { |
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| 563 | leftv u = args; |
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[69b2c1] | 564 | if ((u != NULL) && (u->Typ() == coneID || u->Typ() == polytopeID)) |
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[81384b] | 565 | { |
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[5a1c78] | 566 | gfan::initializeCddlibIfRequired(); |
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[81384b] | 567 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
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| 568 | gfan::ZMatrix zmat = zc->getInequalities(); |
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| 569 | res->rtyp = BIGINTMAT_CMD; |
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| 570 | res->data = (void*) zMatrixToBigintmat(zmat); |
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[5a1c78] | 571 | gfan::deinitializeCddlibIfRequired(); |
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[81384b] | 572 | return FALSE; |
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| 573 | } |
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| 574 | WerrorS("inequalities: unexpected parameters"); |
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| 575 | return TRUE; |
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| 576 | } |
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| 577 | |
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| 578 | BOOLEAN equations(leftv res, leftv args) |
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| 579 | { |
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| 580 | leftv u = args; |
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[69b2c1] | 581 | if ((u != NULL) && (u->Typ() == coneID || u->Typ() == polytopeID)) |
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[81384b] | 582 | { |
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[5a1c78] | 583 | gfan::initializeCddlibIfRequired(); |
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[81384b] | 584 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
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| 585 | gfan::ZMatrix zmat = zc->getEquations(); |
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| 586 | res->rtyp = BIGINTMAT_CMD; |
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| 587 | res->data = (void*) zMatrixToBigintmat(zmat); |
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[5a1c78] | 588 | gfan::deinitializeCddlibIfRequired(); |
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[81384b] | 589 | return FALSE; |
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| 590 | } |
---|
| 591 | WerrorS("equations: unexpected parameters"); |
---|
| 592 | return TRUE; |
---|
| 593 | } |
---|
| 594 | |
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| 595 | BOOLEAN facets(leftv res, leftv args) |
---|
| 596 | { |
---|
| 597 | leftv u = args; |
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[69b2c1] | 598 | if ((u != NULL) && (u->Typ() == coneID || u->Typ() == polytopeID)) |
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[81384b] | 599 | { |
---|
[5a1c78] | 600 | gfan::initializeCddlibIfRequired(); |
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[81384b] | 601 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
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| 602 | gfan::ZMatrix zm = zc->getFacets(); |
---|
| 603 | res->rtyp = BIGINTMAT_CMD; |
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| 604 | res->data = (void*) zMatrixToBigintmat(zm); |
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[5a1c78] | 605 | gfan::deinitializeCddlibIfRequired(); |
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[81384b] | 606 | return FALSE; |
---|
| 607 | } |
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| 608 | WerrorS("facets: unexpected parameters"); |
---|
| 609 | return TRUE; |
---|
| 610 | } |
---|
| 611 | |
---|
| 612 | BOOLEAN impliedEquations(leftv res, leftv args) |
---|
| 613 | { |
---|
| 614 | leftv u = args; |
---|
[69b2c1] | 615 | if ((u != NULL) && (u->Typ() == coneID || u->Typ() == polytopeID)) |
---|
[81384b] | 616 | { |
---|
[5a1c78] | 617 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 618 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 619 | gfan::ZMatrix zmat = zc->getImpliedEquations(); |
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| 620 | res->rtyp = BIGINTMAT_CMD; |
---|
| 621 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
[5a1c78] | 622 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 623 | return FALSE; |
---|
| 624 | } |
---|
| 625 | WerrorS("span: unexpected parameters"); |
---|
| 626 | return TRUE; |
---|
| 627 | } |
---|
| 628 | |
---|
| 629 | BOOLEAN generatorsOfSpan(leftv res, leftv args) |
---|
| 630 | { |
---|
| 631 | leftv u = args; |
---|
[69b2c1] | 632 | if ((u != NULL) && (u->Typ() == coneID || u->Typ() == polytopeID)) |
---|
[81384b] | 633 | { |
---|
[5a1c78] | 634 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 635 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 636 | gfan::ZMatrix zmat = zc->generatorsOfSpan(); |
---|
| 637 | res->rtyp = BIGINTMAT_CMD; |
---|
| 638 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
[5a1c78] | 639 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 640 | return FALSE; |
---|
| 641 | } |
---|
| 642 | WerrorS("generatorsOfSpan: unexpected parameters"); |
---|
| 643 | return TRUE; |
---|
| 644 | } |
---|
| 645 | |
---|
| 646 | BOOLEAN generatorsOfLinealitySpace(leftv res, leftv args) |
---|
| 647 | { |
---|
| 648 | leftv u = args; |
---|
[69b2c1] | 649 | if ((u != NULL) && (u->Typ() == coneID || u->Typ() == polytopeID)) |
---|
[81384b] | 650 | { |
---|
[5a1c78] | 651 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 652 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 653 | gfan::ZMatrix zmat = zc->generatorsOfLinealitySpace(); |
---|
| 654 | res->rtyp = BIGINTMAT_CMD; |
---|
| 655 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
[5a1c78] | 656 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 657 | return FALSE; |
---|
| 658 | } |
---|
| 659 | WerrorS("generatorsOfLinealitySpace: unexpected parameters"); |
---|
| 660 | return TRUE; |
---|
| 661 | } |
---|
| 662 | |
---|
| 663 | BOOLEAN rays(leftv res, leftv args) |
---|
| 664 | { |
---|
| 665 | leftv u = args; |
---|
| 666 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 667 | { |
---|
[5a1c78] | 668 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 669 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 670 | gfan::ZMatrix zm = zc->extremeRays(); |
---|
| 671 | res->rtyp = BIGINTMAT_CMD; |
---|
| 672 | res->data = (void*)zMatrixToBigintmat(zm); |
---|
[5a1c78] | 673 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 674 | return FALSE; |
---|
| 675 | } |
---|
| 676 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
| 677 | { |
---|
[5a1c78] | 678 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 679 | gfan::ZFan* zf = (gfan::ZFan*)u->Data(); |
---|
| 680 | gfan::ZMatrix zmat = rays(zf); |
---|
| 681 | res->rtyp = BIGINTMAT_CMD; |
---|
| 682 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
[5a1c78] | 683 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 684 | return FALSE; |
---|
| 685 | } |
---|
| 686 | WerrorS("rays: unexpected parameters"); |
---|
| 687 | return TRUE; |
---|
| 688 | } |
---|
| 689 | |
---|
| 690 | BOOLEAN quotientLatticeBasis(leftv res, leftv args) |
---|
| 691 | { |
---|
| 692 | leftv u = args; |
---|
| 693 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 694 | { |
---|
[5a1c78] | 695 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 696 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 697 | gfan::ZMatrix zmat = zc->quotientLatticeBasis(); |
---|
| 698 | res->rtyp = BIGINTMAT_CMD; |
---|
| 699 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
[5a1c78] | 700 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 701 | return FALSE; |
---|
| 702 | } |
---|
| 703 | WerrorS("quotientLatticeBasis: unexpected parameters"); |
---|
| 704 | return TRUE; |
---|
| 705 | } |
---|
| 706 | |
---|
| 707 | BOOLEAN getLinearForms(leftv res, leftv args) |
---|
| 708 | { |
---|
| 709 | leftv u = args; |
---|
| 710 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 711 | { |
---|
[5a1c78] | 712 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 713 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 714 | gfan::ZMatrix zmat = zc->getLinearForms(); |
---|
| 715 | res->rtyp = BIGINTMAT_CMD; |
---|
| 716 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
[5a1c78] | 717 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 718 | return FALSE; |
---|
| 719 | } |
---|
| 720 | WerrorS("getLinearForms: unexpected parameters"); |
---|
| 721 | return TRUE; |
---|
| 722 | } |
---|
| 723 | |
---|
| 724 | BOOLEAN ambientDimension(leftv res, leftv args) |
---|
| 725 | { |
---|
| 726 | leftv u=args; |
---|
| 727 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 728 | { |
---|
[5a1c78] | 729 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 730 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 731 | res->rtyp = INT_CMD; |
---|
| 732 | res->data = (void*) (long) zc->ambientDimension(); |
---|
[5a1c78] | 733 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 734 | return FALSE; |
---|
| 735 | } |
---|
| 736 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
| 737 | { |
---|
[5a1c78] | 738 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 739 | gfan::ZFan* zf = (gfan::ZFan*)u->Data(); |
---|
| 740 | res->rtyp = INT_CMD; |
---|
| 741 | res->data = (void*) (long) getAmbientDimension(zf); |
---|
[5a1c78] | 742 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 743 | return FALSE; |
---|
| 744 | } |
---|
| 745 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
| 746 | { |
---|
[5a1c78] | 747 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 748 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 749 | res->rtyp = INT_CMD; |
---|
| 750 | res->data = (void*) (long) getAmbientDimension(zc); |
---|
[5a1c78] | 751 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 752 | return FALSE; |
---|
| 753 | } |
---|
| 754 | WerrorS("ambientDimension: unexpected parameters"); |
---|
| 755 | return TRUE; |
---|
| 756 | } |
---|
| 757 | |
---|
| 758 | BOOLEAN dimension(leftv res, leftv args) |
---|
| 759 | { |
---|
| 760 | leftv u=args; |
---|
| 761 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 762 | { |
---|
[5a1c78] | 763 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 764 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 765 | res->rtyp = INT_CMD; |
---|
| 766 | res->data = (void*) (long) zc->dimension(); |
---|
[5a1c78] | 767 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 768 | return FALSE; |
---|
| 769 | } |
---|
| 770 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
| 771 | { |
---|
[5a1c78] | 772 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 773 | gfan::ZFan* zf = (gfan::ZFan*)u->Data(); |
---|
| 774 | res->rtyp = INT_CMD; |
---|
| 775 | res->data = (void*) (long) getDimension(zf); |
---|
[5a1c78] | 776 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 777 | return FALSE; |
---|
| 778 | } |
---|
| 779 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
| 780 | { |
---|
[5a1c78] | 781 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 782 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 783 | res->rtyp = INT_CMD; |
---|
| 784 | res->data = (void*) (long) getDimension(zc); |
---|
[5a1c78] | 785 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 786 | return FALSE; |
---|
| 787 | } |
---|
| 788 | WerrorS("dimension: unexpected parameters"); |
---|
| 789 | return TRUE; |
---|
| 790 | } |
---|
| 791 | |
---|
| 792 | BOOLEAN codimension(leftv res, leftv args) |
---|
| 793 | { |
---|
| 794 | leftv u=args; |
---|
| 795 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
[5a1c78] | 796 | { |
---|
| 797 | gfan::initializeCddlibIfRequired(); |
---|
| 798 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 799 | res->rtyp = INT_CMD; |
---|
| 800 | res->data = (void*) (long) zc->codimension(); |
---|
| 801 | gfan::deinitializeCddlibIfRequired(); |
---|
| 802 | return FALSE; |
---|
| 803 | } |
---|
[81384b] | 804 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
[5a1c78] | 805 | { |
---|
| 806 | gfan::initializeCddlibIfRequired(); |
---|
| 807 | gfan::ZFan* zf = (gfan::ZFan*)u->Data(); |
---|
| 808 | res->rtyp = INT_CMD; |
---|
| 809 | res->data = (void*) (long) getCodimension(zf); |
---|
| 810 | gfan::deinitializeCddlibIfRequired(); |
---|
| 811 | return FALSE; |
---|
| 812 | } |
---|
[81384b] | 813 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
[5a1c78] | 814 | { |
---|
| 815 | gfan::initializeCddlibIfRequired(); |
---|
| 816 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 817 | res->rtyp = INT_CMD; |
---|
| 818 | res->data = (void*) (long) getCodimension(zc); |
---|
| 819 | gfan::deinitializeCddlibIfRequired(); |
---|
| 820 | return FALSE; |
---|
| 821 | } |
---|
[81384b] | 822 | WerrorS("getCodimension: unexpected parameters"); |
---|
| 823 | return TRUE; |
---|
| 824 | } |
---|
| 825 | |
---|
| 826 | BOOLEAN linealityDimension(leftv res, leftv args) |
---|
| 827 | { |
---|
| 828 | leftv u=args; |
---|
| 829 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 830 | { |
---|
[5a1c78] | 831 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 832 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 833 | res->rtyp = INT_CMD; |
---|
| 834 | res->data = (void*) (long) zc->dimensionOfLinealitySpace(); |
---|
[5a1c78] | 835 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 836 | return FALSE; |
---|
| 837 | } |
---|
| 838 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
| 839 | { |
---|
[5a1c78] | 840 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 841 | gfan::ZFan* zf = (gfan::ZFan*)u->Data(); |
---|
| 842 | res->rtyp = INT_CMD; |
---|
| 843 | res->data = (void*) (long) getLinealityDimension(zf); |
---|
[5a1c78] | 844 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 845 | return FALSE; |
---|
| 846 | } |
---|
| 847 | WerrorS("linealityDimension: unexpected parameters"); |
---|
| 848 | return TRUE; |
---|
| 849 | } |
---|
| 850 | |
---|
| 851 | BOOLEAN getMultiplicity(leftv res, leftv args) |
---|
| 852 | { |
---|
| 853 | leftv u = args; |
---|
| 854 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 855 | { |
---|
[5a1c78] | 856 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 857 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 858 | number i = integerToNumber(zc->getMultiplicity()); |
---|
| 859 | res->rtyp = BIGINT_CMD; |
---|
| 860 | res->data = (void*) i; |
---|
[5a1c78] | 861 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 862 | return FALSE; |
---|
| 863 | } |
---|
| 864 | WerrorS("getMultiplicity: unexpected parameters"); |
---|
| 865 | return TRUE; |
---|
| 866 | } |
---|
| 867 | |
---|
| 868 | BOOLEAN isOrigin(leftv res, leftv args) |
---|
| 869 | { |
---|
| 870 | leftv u = args; |
---|
| 871 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 872 | { |
---|
[5a1c78] | 873 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 874 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 875 | int i = zc->isOrigin(); |
---|
| 876 | res->rtyp = INT_CMD; |
---|
| 877 | res->data = (void*) (long) i; |
---|
[5a1c78] | 878 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 879 | return FALSE; |
---|
| 880 | } |
---|
| 881 | WerrorS("isOrigin: unexpected parameters"); |
---|
| 882 | return TRUE; |
---|
| 883 | } |
---|
| 884 | |
---|
| 885 | BOOLEAN isFullSpace(leftv res, leftv args) |
---|
| 886 | { |
---|
| 887 | leftv u = args; |
---|
| 888 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 889 | { |
---|
[5a1c78] | 890 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 891 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 892 | int i = zc->isFullSpace(); |
---|
| 893 | res->rtyp = INT_CMD; |
---|
| 894 | res->data = (void*) (long) i; |
---|
[5a1c78] | 895 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 896 | return FALSE; |
---|
| 897 | } |
---|
| 898 | WerrorS("isFullSpace: unexpected parameters"); |
---|
| 899 | return TRUE; |
---|
| 900 | } |
---|
| 901 | |
---|
| 902 | BOOLEAN isSimplicial(leftv res, leftv args) |
---|
| 903 | { |
---|
| 904 | leftv u=args; |
---|
| 905 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 906 | { |
---|
[5a1c78] | 907 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 908 | gfan::ZCone* zc = (gfan::ZCone*) u->Data(); |
---|
| 909 | int b = zc->isSimplicial(); |
---|
| 910 | res->rtyp = INT_CMD; |
---|
| 911 | res->data = (void*) (long) b; |
---|
[5a1c78] | 912 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 913 | return FALSE; |
---|
| 914 | } |
---|
| 915 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
| 916 | { |
---|
[5a1c78] | 917 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 918 | gfan::ZFan* zf = (gfan::ZFan*) u->Data(); |
---|
| 919 | bool b = isSimplicial(zf); |
---|
| 920 | res->rtyp = INT_CMD; |
---|
| 921 | res->data = (void*) (long) b; |
---|
[5a1c78] | 922 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 923 | return FALSE; |
---|
| 924 | } |
---|
| 925 | WerrorS("isSimplicial: unexpected parameters"); |
---|
| 926 | return TRUE; |
---|
| 927 | } |
---|
| 928 | |
---|
| 929 | BOOLEAN containsPositiveVector(leftv res, leftv args) |
---|
| 930 | { |
---|
| 931 | leftv u = args; |
---|
| 932 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 933 | { |
---|
[5a1c78] | 934 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 935 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 936 | int i = zc->containsPositiveVector(); |
---|
| 937 | res->rtyp = INT_CMD; |
---|
| 938 | res->data = (void*) (long) i; |
---|
[5a1c78] | 939 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 940 | return FALSE; |
---|
| 941 | } |
---|
| 942 | WerrorS("containsPositiveVector: unexpected parameters"); |
---|
| 943 | return TRUE; |
---|
| 944 | } |
---|
| 945 | |
---|
| 946 | BOOLEAN linealitySpace(leftv res, leftv args) |
---|
| 947 | { |
---|
| 948 | leftv u = args; |
---|
| 949 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 950 | { |
---|
[5a1c78] | 951 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 952 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 953 | gfan::ZCone* zd = new gfan::ZCone(zc->linealitySpace()); |
---|
| 954 | res->rtyp = coneID; |
---|
| 955 | res->data = (void*) zd; |
---|
[5a1c78] | 956 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 957 | return FALSE; |
---|
| 958 | } |
---|
| 959 | WerrorS("linealitySpace: unexpected parameters"); |
---|
| 960 | return TRUE; |
---|
| 961 | } |
---|
| 962 | |
---|
| 963 | BOOLEAN dualCone(leftv res, leftv args) |
---|
| 964 | { |
---|
| 965 | leftv u = args; |
---|
| 966 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 967 | { |
---|
[5a1c78] | 968 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 969 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 970 | gfan::ZCone* zd = new gfan::ZCone(zc->dualCone()); |
---|
| 971 | res->rtyp = coneID; |
---|
| 972 | res->data = (void*) zd; |
---|
[5a1c78] | 973 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 974 | return FALSE; |
---|
| 975 | } |
---|
| 976 | WerrorS("dual: unexpected parameters"); |
---|
| 977 | return TRUE; |
---|
| 978 | } |
---|
| 979 | |
---|
| 980 | BOOLEAN negatedCone(leftv res, leftv args) |
---|
| 981 | { |
---|
| 982 | leftv u = args; |
---|
| 983 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 984 | { |
---|
[5a1c78] | 985 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 986 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 987 | gfan::ZCone* zd = new gfan::ZCone(zc->negated()); |
---|
| 988 | res->rtyp = coneID; |
---|
| 989 | res->data = (void*) zd; |
---|
[5a1c78] | 990 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 991 | return FALSE; |
---|
| 992 | } |
---|
| 993 | WerrorS("negatedCone: unexpected parameters"); |
---|
| 994 | return TRUE; |
---|
| 995 | } |
---|
| 996 | |
---|
| 997 | BOOLEAN semigroupGenerator(leftv res, leftv args) |
---|
| 998 | { |
---|
| 999 | leftv u = args; |
---|
| 1000 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1001 | { |
---|
[5a1c78] | 1002 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1003 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1004 | int d = zc->dimension(); |
---|
| 1005 | int dLS = zc->dimensionOfLinealitySpace(); |
---|
| 1006 | if (d == dLS + 1) |
---|
| 1007 | { |
---|
| 1008 | gfan::ZVector zv = zc->semiGroupGeneratorOfRay(); |
---|
| 1009 | res->rtyp = BIGINTMAT_CMD; |
---|
| 1010 | res->data = (void*) zVectorToBigintmat(zv); |
---|
[5a1c78] | 1011 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1012 | return FALSE; |
---|
| 1013 | } |
---|
[5a1c78] | 1014 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1015 | Werror("expected dim of cone one larger than dim of lin space\n" |
---|
| 1016 | "but got dimensions %d and %d", d, dLS); |
---|
| 1017 | } |
---|
| 1018 | WerrorS("semigroupGenerator: unexpected parameters"); |
---|
| 1019 | return TRUE; |
---|
| 1020 | } |
---|
| 1021 | |
---|
| 1022 | BOOLEAN relativeInteriorPoint(leftv res, leftv args) |
---|
| 1023 | { |
---|
| 1024 | leftv u = args; |
---|
| 1025 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1026 | { |
---|
[5a1c78] | 1027 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1028 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1029 | gfan::ZVector zv = zc->getRelativeInteriorPoint(); |
---|
| 1030 | res->rtyp = BIGINTMAT_CMD; |
---|
| 1031 | res->data = (void*) zVectorToBigintmat(zv); |
---|
[5a1c78] | 1032 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1033 | return FALSE; |
---|
| 1034 | } |
---|
| 1035 | WerrorS("relativeInteriorPoint: unexpected parameters"); |
---|
| 1036 | return TRUE; |
---|
| 1037 | } |
---|
| 1038 | |
---|
| 1039 | BOOLEAN uniquePoint(leftv res, leftv args) |
---|
| 1040 | { |
---|
| 1041 | leftv u = args; |
---|
| 1042 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1043 | { |
---|
[5a1c78] | 1044 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1045 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1046 | gfan::ZVector zv = zc->getUniquePoint(); |
---|
| 1047 | res->rtyp = BIGINTMAT_CMD; |
---|
| 1048 | res->data = (void*) zVectorToBigintmat(zv); |
---|
[5a1c78] | 1049 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1050 | return FALSE; |
---|
| 1051 | } |
---|
| 1052 | WerrorS("uniquePoint: unexpected parameters"); |
---|
| 1053 | return TRUE; |
---|
| 1054 | } |
---|
| 1055 | |
---|
| 1056 | gfan::ZVector randomPoint(const gfan::ZCone* zc) |
---|
| 1057 | { |
---|
| 1058 | gfan::ZVector rp = gfan::ZVector(zc->ambientDimension()); |
---|
[bf83d3] | 1059 | |
---|
| 1060 | gfan::ZMatrix rays = zc->extremeRays(); |
---|
[81384b] | 1061 | for (int i=0; i<rays.getHeight(); i++) |
---|
| 1062 | { |
---|
| 1063 | int n = siRand(); |
---|
[5cea7a] | 1064 | rp = rp + n * rays[i].toVector(); |
---|
[81384b] | 1065 | } |
---|
[bf83d3] | 1066 | |
---|
| 1067 | gfan::ZMatrix lins = zc->generatorsOfLinealitySpace(); |
---|
| 1068 | for (int i=0; i<lins.getHeight(); i++) |
---|
| 1069 | { |
---|
| 1070 | int n = siRand(); |
---|
[5cea7a] | 1071 | rp = rp + n * lins[i].toVector(); |
---|
[bf83d3] | 1072 | } |
---|
| 1073 | |
---|
[81384b] | 1074 | return rp; |
---|
| 1075 | } |
---|
| 1076 | |
---|
| 1077 | BOOLEAN randomPoint(leftv res, leftv args) |
---|
| 1078 | { |
---|
| 1079 | leftv u = args; |
---|
| 1080 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1081 | { |
---|
[5a1c78] | 1082 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1083 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1084 | gfan::ZVector zv = randomPoint(zc); |
---|
| 1085 | res->rtyp = BIGINTMAT_CMD; |
---|
| 1086 | res->data = (void*) zVectorToBigintmat(zv); |
---|
[5a1c78] | 1087 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1088 | return FALSE; |
---|
| 1089 | } |
---|
| 1090 | WerrorS("randomPoint: unexpected parameters"); |
---|
| 1091 | return TRUE; |
---|
| 1092 | } |
---|
| 1093 | |
---|
| 1094 | BOOLEAN setMultiplicity(leftv res, leftv args) |
---|
| 1095 | { |
---|
| 1096 | leftv u = args; |
---|
| 1097 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1098 | { |
---|
| 1099 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1100 | leftv v = u->next; |
---|
| 1101 | if ((v != NULL) && (v->Typ() == INT_CMD)) |
---|
| 1102 | { |
---|
[5a1c78] | 1103 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1104 | int val = (int)(long)v->Data(); |
---|
| 1105 | zc->setMultiplicity(gfan::Integer(val)); |
---|
| 1106 | res->rtyp = NONE; |
---|
| 1107 | res->data = NULL; |
---|
[5a1c78] | 1108 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1109 | return FALSE; |
---|
| 1110 | } |
---|
| 1111 | } |
---|
| 1112 | WerrorS("setMultiplicity: unexpected parameters"); |
---|
| 1113 | return TRUE; |
---|
| 1114 | } |
---|
| 1115 | |
---|
| 1116 | BOOLEAN setLinearForms(leftv res, leftv args) |
---|
| 1117 | { |
---|
| 1118 | leftv u = args; |
---|
| 1119 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1120 | { |
---|
| 1121 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1122 | leftv v = u->next; |
---|
| 1123 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTVEC_CMD))) |
---|
| 1124 | { |
---|
[5a1c78] | 1125 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1126 | bigintmat* mat=NULL; |
---|
| 1127 | if (v->Typ() == INTVEC_CMD) |
---|
| 1128 | { |
---|
| 1129 | intvec* mat0 = (intvec*) v->Data(); |
---|
| 1130 | mat = iv2bim(mat0,coeffs_BIGINT)->transpose(); |
---|
| 1131 | } |
---|
| 1132 | else |
---|
| 1133 | mat = (bigintmat*) v->Data(); |
---|
| 1134 | gfan::ZMatrix* zm = bigintmatToZMatrix(mat); |
---|
| 1135 | zc->setLinearForms(*zm); |
---|
| 1136 | res->rtyp = NONE; |
---|
| 1137 | res->data = NULL; |
---|
| 1138 | |
---|
| 1139 | delete zm; |
---|
| 1140 | if (v->Typ() == INTVEC_CMD) |
---|
| 1141 | delete mat; |
---|
[5a1c78] | 1142 | gfan::deinitializeCddlibIfRequired(); |
---|
| 1143 | return FALSE; |
---|
[81384b] | 1144 | } |
---|
| 1145 | } |
---|
| 1146 | WerrorS("setLinearForms: unexpected parameters"); |
---|
| 1147 | return TRUE; |
---|
| 1148 | } |
---|
| 1149 | |
---|
| 1150 | gfan::ZMatrix liftUp(const gfan::ZMatrix &zm) |
---|
| 1151 | { |
---|
| 1152 | int r=zm.getHeight(); |
---|
| 1153 | int c=zm.getWidth(); |
---|
| 1154 | gfan::ZMatrix zn(r+1,c+1); |
---|
| 1155 | zn[1][1]=1; |
---|
| 1156 | for (int i=0; i<r; i++) |
---|
| 1157 | for (int j=0; j<c; j++) |
---|
| 1158 | zn[i+1][j+1]=zm[i][j]; |
---|
| 1159 | return zn; |
---|
| 1160 | } |
---|
| 1161 | |
---|
| 1162 | gfan::ZCone liftUp(const gfan::ZCone &zc) |
---|
| 1163 | { |
---|
| 1164 | gfan::ZMatrix ineq=zc.getInequalities(); |
---|
| 1165 | gfan::ZMatrix eq=zc.getEquations(); |
---|
| 1166 | gfan::ZCone zd(liftUp(ineq),liftUp(eq)); |
---|
| 1167 | return zd; |
---|
| 1168 | } |
---|
| 1169 | |
---|
| 1170 | BOOLEAN coneToPolytope(leftv res, leftv args) |
---|
| 1171 | { |
---|
| 1172 | leftv u = args; |
---|
| 1173 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1174 | { |
---|
[5a1c78] | 1175 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1176 | gfan::ZCone* zc = (gfan::ZCone*) u->Data(); |
---|
| 1177 | gfan::ZMatrix ineq=zc->getInequalities(); |
---|
| 1178 | gfan::ZMatrix eq=zc->getEquations(); |
---|
| 1179 | gfan::ZCone* zd = new gfan::ZCone(liftUp(ineq),liftUp(eq)); |
---|
| 1180 | res->rtyp = polytopeID; |
---|
| 1181 | res->data = (void*) zd; |
---|
[5a1c78] | 1182 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1183 | return FALSE; |
---|
| 1184 | } |
---|
| 1185 | WerrorS("makePolytope: unexpected parameters"); |
---|
| 1186 | return TRUE; |
---|
| 1187 | } |
---|
| 1188 | |
---|
| 1189 | BOOLEAN intersectCones(leftv res, leftv args) |
---|
| 1190 | { |
---|
| 1191 | leftv u = args; |
---|
| 1192 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1193 | { |
---|
| 1194 | leftv v = u->next; |
---|
| 1195 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
| 1196 | { |
---|
[5a1c78] | 1197 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1198 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
| 1199 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
| 1200 | int d1 = zc1->ambientDimension(); |
---|
| 1201 | int d2 = zc2->ambientDimension(); |
---|
| 1202 | if (d1 != d2) |
---|
| 1203 | { |
---|
| 1204 | Werror("expected ambient dims of both cones to coincide\n" |
---|
| 1205 | "but got %d and %d", d1, d2); |
---|
[5a1c78] | 1206 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1207 | return TRUE; |
---|
| 1208 | } |
---|
| 1209 | gfan::ZCone zc3 = gfan::intersection(*zc1, *zc2); |
---|
| 1210 | zc3.canonicalize(); |
---|
| 1211 | res->rtyp = coneID; |
---|
| 1212 | res->data = (void *)new gfan::ZCone(zc3); |
---|
[5a1c78] | 1213 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1214 | return FALSE; |
---|
| 1215 | } |
---|
| 1216 | if ((v != NULL) && (v->Typ() == polytopeID)) |
---|
| 1217 | { |
---|
[5a1c78] | 1218 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1219 | gfan::ZCone* zc11 = (gfan::ZCone*)u->Data(); |
---|
| 1220 | gfan::ZCone zc1 = liftUp(*zc11); |
---|
| 1221 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
| 1222 | int d1 = zc1.ambientDimension(); |
---|
| 1223 | int d2 = zc2->ambientDimension(); |
---|
| 1224 | if (d1 != d2) |
---|
| 1225 | { |
---|
| 1226 | Werror("expected ambient dims of both cones to coincide\n" |
---|
| 1227 | "but got %d and %d", d1, d2); |
---|
[5a1c78] | 1228 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1229 | return TRUE; |
---|
| 1230 | } |
---|
| 1231 | gfan::ZCone zc3 = gfan::intersection(zc1, *zc2); |
---|
| 1232 | zc3.canonicalize(); |
---|
| 1233 | res->rtyp = polytopeID; |
---|
| 1234 | res->data = (void *)new gfan::ZCone(zc3); |
---|
[5a1c78] | 1235 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1236 | return FALSE; |
---|
| 1237 | } |
---|
| 1238 | } |
---|
| 1239 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
| 1240 | { |
---|
| 1241 | leftv v = u->next; |
---|
| 1242 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
| 1243 | { |
---|
[5a1c78] | 1244 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1245 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
| 1246 | gfan::ZCone* zc22 = (gfan::ZCone*)v->Data(); |
---|
| 1247 | gfan::ZCone zc2 = liftUp(*zc22); |
---|
| 1248 | int d1 = zc1->ambientDimension(); |
---|
| 1249 | int d2 = zc2.ambientDimension(); |
---|
| 1250 | if (d1 != d2) |
---|
| 1251 | { |
---|
| 1252 | Werror("expected ambient dims of both cones to coincide\n" |
---|
| 1253 | "but got %d and %d", d1, d2); |
---|
[5a1c78] | 1254 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1255 | return TRUE; |
---|
| 1256 | } |
---|
| 1257 | gfan::ZCone zc3 = gfan::intersection(*zc1, zc2); |
---|
| 1258 | zc3.canonicalize(); |
---|
| 1259 | res->rtyp = polytopeID; |
---|
| 1260 | res->data = (void *)new gfan::ZCone(zc3); |
---|
[5a1c78] | 1261 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1262 | return FALSE; |
---|
| 1263 | } |
---|
| 1264 | if ((v != NULL) && (v->Typ() == polytopeID)) |
---|
| 1265 | { |
---|
[5a1c78] | 1266 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1267 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
| 1268 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
| 1269 | int d1 = zc1->ambientDimension(); |
---|
| 1270 | int d2 = zc2->ambientDimension(); |
---|
| 1271 | if (d1 != d2) |
---|
| 1272 | { |
---|
| 1273 | Werror("expected ambient dims of both cones to coincide\n" |
---|
| 1274 | "but got %d and %d", d1, d2); |
---|
[5a1c78] | 1275 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1276 | return TRUE; |
---|
| 1277 | } |
---|
| 1278 | gfan::ZCone zc3 = gfan::intersection(*zc1, *zc2); |
---|
| 1279 | zc3.canonicalize(); |
---|
| 1280 | res->rtyp = polytopeID; |
---|
| 1281 | res->data = (void *)new gfan::ZCone(zc3); |
---|
[5a1c78] | 1282 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1283 | return FALSE; |
---|
| 1284 | } |
---|
| 1285 | } |
---|
| 1286 | WerrorS("convexIntersection: unexpected parameters"); |
---|
| 1287 | return TRUE; |
---|
| 1288 | } |
---|
| 1289 | |
---|
| 1290 | BOOLEAN convexHull(leftv res, leftv args) |
---|
| 1291 | { |
---|
| 1292 | leftv u = args; |
---|
| 1293 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1294 | { |
---|
| 1295 | leftv v = u->next; |
---|
| 1296 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
| 1297 | { |
---|
[5a1c78] | 1298 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1299 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
| 1300 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
| 1301 | int d1 = zc1->ambientDimension(); |
---|
| 1302 | int d2 = zc2->ambientDimension(); |
---|
| 1303 | if (d1 != d2) |
---|
| 1304 | { |
---|
| 1305 | Werror("expected ambient dims of both cones to coincide\n" |
---|
| 1306 | "but got %d and %d", d1, d2); |
---|
[5a1c78] | 1307 | gfan::deinitializeCddlibIfRequired(); |
---|
| 1308 | return TRUE; |
---|
[81384b] | 1309 | } |
---|
| 1310 | gfan::ZMatrix zm1 = zc1->extremeRays(); |
---|
| 1311 | gfan::ZMatrix zm2 = zc2->extremeRays(); |
---|
| 1312 | gfan::ZMatrix zn1 = zc1->generatorsOfLinealitySpace(); |
---|
| 1313 | gfan::ZMatrix zn2 = zc2->generatorsOfLinealitySpace(); |
---|
| 1314 | gfan::ZMatrix zm = combineOnTop(zm1,zm2); |
---|
| 1315 | gfan::ZMatrix zn = combineOnTop(zn1,zn2); |
---|
| 1316 | gfan::ZCone* zc = new gfan::ZCone(); |
---|
| 1317 | *zc = gfan::ZCone::givenByRays(zm, zn); |
---|
| 1318 | res->rtyp = coneID; |
---|
| 1319 | res->data = (void*) zc; |
---|
[5a1c78] | 1320 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1321 | return FALSE; |
---|
| 1322 | } |
---|
| 1323 | if ((v != NULL) && (v->Typ() == polytopeID)) |
---|
| 1324 | { |
---|
[5a1c78] | 1325 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1326 | gfan::ZCone* zc11 = (gfan::ZCone*)u->Data(); |
---|
| 1327 | gfan::ZCone zc1 = liftUp(*zc11); |
---|
| 1328 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
| 1329 | int d1 = zc1.ambientDimension()-1; |
---|
| 1330 | int d2 = zc2->ambientDimension()-1; |
---|
| 1331 | if (d1 != d2) |
---|
| 1332 | { |
---|
| 1333 | Werror("expected ambient dims of both cones to coincide\n" |
---|
| 1334 | "but got %d and %d", d1, d2); |
---|
[5a1c78] | 1335 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1336 | return TRUE; |
---|
| 1337 | } |
---|
| 1338 | gfan::ZMatrix zm1 = zc1.extremeRays(); |
---|
| 1339 | gfan::ZMatrix zm2 = zc2->extremeRays(); |
---|
| 1340 | gfan::ZMatrix zn = zc1.generatorsOfLinealitySpace(); |
---|
| 1341 | gfan::ZMatrix zm = combineOnTop(zm1,zm2); |
---|
| 1342 | gfan::ZCone* zc = new gfan::ZCone(); |
---|
| 1343 | *zc = gfan::ZCone::givenByRays(zm, zn); |
---|
| 1344 | res->rtyp = polytopeID; |
---|
| 1345 | res->data = (void*) zc; |
---|
[5a1c78] | 1346 | gfan::deinitializeCddlibIfRequired(); |
---|
| 1347 | return FALSE; |
---|
[81384b] | 1348 | } |
---|
| 1349 | } |
---|
| 1350 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
| 1351 | { |
---|
| 1352 | leftv v = u->next; |
---|
| 1353 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
| 1354 | { |
---|
[5a1c78] | 1355 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1356 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
| 1357 | gfan::ZCone* zc22 = (gfan::ZCone*)v->Data(); |
---|
| 1358 | gfan::ZCone zc2 = liftUp(*zc22); |
---|
| 1359 | int d1 = zc1->ambientDimension()-1; |
---|
| 1360 | int d2 = zc2.ambientDimension()-1; |
---|
| 1361 | if (d1 != d2) |
---|
| 1362 | { |
---|
| 1363 | Werror("expected ambient dims of both cones to coincide\n" |
---|
| 1364 | "but got %d and %d", d1, d2); |
---|
[5a1c78] | 1365 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1366 | return TRUE; |
---|
| 1367 | } |
---|
| 1368 | gfan::ZMatrix zm1 = zc1->extremeRays(); |
---|
| 1369 | gfan::ZMatrix zm2 = zc2.extremeRays(); |
---|
| 1370 | gfan::ZMatrix zn = zc2.generatorsOfLinealitySpace(); |
---|
| 1371 | gfan::ZMatrix zm = combineOnTop(zm1,zm2); |
---|
| 1372 | gfan::ZCone* zc = new gfan::ZCone(); |
---|
| 1373 | *zc = gfan::ZCone::givenByRays(zm,gfan::ZMatrix(0, zm.getWidth())); |
---|
| 1374 | res->rtyp = polytopeID; |
---|
| 1375 | res->data = (void*) zc; |
---|
[5a1c78] | 1376 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1377 | return FALSE; |
---|
| 1378 | } |
---|
| 1379 | if ((v != NULL) && (v->Typ() == polytopeID)) |
---|
| 1380 | { |
---|
[5a1c78] | 1381 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1382 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
| 1383 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
| 1384 | int d1 = zc1->ambientDimension()-1; |
---|
| 1385 | int d2 = zc2->ambientDimension()-1; |
---|
| 1386 | if (d1 != d2) |
---|
| 1387 | { |
---|
| 1388 | Werror("expected ambient dims of both cones to coincide\n" |
---|
| 1389 | "but got %d and %d", d1, d2); |
---|
[5a1c78] | 1390 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1391 | return TRUE; |
---|
| 1392 | } |
---|
| 1393 | gfan::ZMatrix zm1 = zc1->extremeRays(); |
---|
| 1394 | gfan::ZMatrix zm2 = zc2->extremeRays(); |
---|
| 1395 | gfan::ZMatrix zm = combineOnTop(zm1,zm2); |
---|
| 1396 | gfan::ZCone* zc = new gfan::ZCone(); |
---|
| 1397 | *zc = gfan::ZCone::givenByRays(zm,gfan::ZMatrix(0, zm.getWidth())); |
---|
| 1398 | res->rtyp = polytopeID; |
---|
| 1399 | res->data = (void*) zc; |
---|
[5a1c78] | 1400 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1401 | return FALSE; |
---|
| 1402 | } |
---|
| 1403 | } |
---|
| 1404 | WerrorS("convexHull: unexpected parameters"); |
---|
| 1405 | return TRUE; |
---|
| 1406 | } |
---|
| 1407 | |
---|
| 1408 | BOOLEAN coneLink(leftv res, leftv args) |
---|
| 1409 | { |
---|
| 1410 | leftv u = args; |
---|
| 1411 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1412 | { |
---|
| 1413 | leftv v = u->next; |
---|
| 1414 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTVEC_CMD))) |
---|
| 1415 | { |
---|
[5a1c78] | 1416 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1417 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1418 | bigintmat* iv = NULL; |
---|
| 1419 | if (v->Typ() == INTVEC_CMD) |
---|
| 1420 | { |
---|
| 1421 | intvec* iv0 = (intvec*) v->Data(); |
---|
| 1422 | iv = iv2bim(iv0,coeffs_BIGINT)->transpose(); |
---|
| 1423 | } |
---|
| 1424 | else |
---|
| 1425 | iv = (bigintmat*)v->Data(); |
---|
| 1426 | gfan::ZVector* zv = bigintmatToZVector(iv); |
---|
| 1427 | int d1 = zc->ambientDimension(); |
---|
| 1428 | int d2 = zv->size(); |
---|
| 1429 | if (d1 != d2) |
---|
| 1430 | { |
---|
| 1431 | Werror("expected ambient dim of cone and size of vector\n" |
---|
| 1432 | " to be equal but got %d and %d", d1, d2); |
---|
[5a1c78] | 1433 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1434 | return TRUE; |
---|
| 1435 | } |
---|
| 1436 | if(!zc->contains(*zv)) |
---|
| 1437 | { |
---|
| 1438 | WerrorS("the provided intvec does not lie in the cone"); |
---|
[5a1c78] | 1439 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1440 | return TRUE; |
---|
| 1441 | } |
---|
| 1442 | gfan::ZCone* zd = new gfan::ZCone(zc->link(*zv)); |
---|
| 1443 | res->rtyp = coneID; |
---|
| 1444 | res->data = (void *) zd; |
---|
| 1445 | |
---|
| 1446 | delete zv; |
---|
| 1447 | if (v->Typ() == INTMAT_CMD) |
---|
| 1448 | delete iv; |
---|
[5a1c78] | 1449 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1450 | return FALSE; |
---|
| 1451 | } |
---|
| 1452 | } |
---|
| 1453 | WerrorS("coneLink: unexpected parameters"); |
---|
| 1454 | return TRUE; |
---|
| 1455 | } |
---|
| 1456 | |
---|
| 1457 | BOOLEAN containsInSupport(leftv res, leftv args) |
---|
| 1458 | { |
---|
| 1459 | leftv u=args; |
---|
| 1460 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1461 | { |
---|
| 1462 | leftv v=u->next; |
---|
| 1463 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
| 1464 | { |
---|
[5a1c78] | 1465 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1466 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1467 | gfan::ZCone* zd = (gfan::ZCone*)v->Data(); |
---|
| 1468 | int d1 = zc->ambientDimension(); |
---|
| 1469 | int d2 = zd->ambientDimension(); |
---|
| 1470 | if (d1 != d2) |
---|
| 1471 | { |
---|
| 1472 | Werror("expected cones with same ambient dimensions\n but got" |
---|
| 1473 | " dimensions %d and %d", d1, d2); |
---|
[5a1c78] | 1474 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1475 | return TRUE; |
---|
| 1476 | } |
---|
| 1477 | bool b = (zc->contains(*zd) ? 1 : 0); |
---|
| 1478 | res->rtyp = INT_CMD; |
---|
| 1479 | res->data = (void*) (long) b; |
---|
[5a1c78] | 1480 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1481 | return FALSE; |
---|
| 1482 | } |
---|
| 1483 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTVEC_CMD))) |
---|
| 1484 | { |
---|
[5a1c78] | 1485 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1486 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1487 | bigintmat* iv = NULL; |
---|
| 1488 | if (v->Typ() == INTVEC_CMD) |
---|
| 1489 | { |
---|
| 1490 | intvec* iv0 = (intvec*) v->Data(); |
---|
| 1491 | iv = iv2bim(iv0,coeffs_BIGINT)->transpose(); |
---|
| 1492 | } |
---|
| 1493 | else |
---|
| 1494 | iv = (bigintmat*)v->Data(); |
---|
| 1495 | |
---|
| 1496 | gfan::ZVector* zv = bigintmatToZVector(iv); |
---|
| 1497 | int d1 = zc->ambientDimension(); |
---|
| 1498 | int d2 = zv->size(); |
---|
| 1499 | if (d1 != d2) |
---|
| 1500 | { |
---|
| 1501 | Werror("expected cones with same ambient dimensions\n but got" |
---|
| 1502 | " dimensions %d and %d", d1, d2); |
---|
[5a1c78] | 1503 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1504 | return TRUE; |
---|
| 1505 | } |
---|
| 1506 | int b = zc->contains(*zv); |
---|
| 1507 | res->rtyp = INT_CMD; |
---|
| 1508 | res->data = (void*) (long) b; |
---|
| 1509 | |
---|
| 1510 | delete zv; |
---|
| 1511 | if (v->Typ() == INTMAT_CMD) |
---|
| 1512 | delete iv; |
---|
[5a1c78] | 1513 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1514 | return FALSE; |
---|
| 1515 | } |
---|
| 1516 | } |
---|
| 1517 | WerrorS("containsInSupport: unexpected parameters"); |
---|
| 1518 | return TRUE; |
---|
| 1519 | } |
---|
| 1520 | |
---|
| 1521 | BOOLEAN containsRelatively(leftv res, leftv args) |
---|
| 1522 | { |
---|
| 1523 | leftv u = args; |
---|
| 1524 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1525 | { |
---|
| 1526 | leftv v = u->next; |
---|
| 1527 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTVEC_CMD))) |
---|
| 1528 | { |
---|
[5a1c78] | 1529 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1530 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1531 | bigintmat* iv = NULL; |
---|
| 1532 | if (v->Typ() == INTVEC_CMD) |
---|
| 1533 | { |
---|
| 1534 | intvec* iv0 = (intvec*) v->Data(); |
---|
| 1535 | iv = iv2bim(iv0,coeffs_BIGINT)->transpose(); |
---|
| 1536 | } |
---|
| 1537 | else |
---|
| 1538 | iv = (bigintmat*)v->Data(); |
---|
| 1539 | gfan::ZVector* zv = bigintmatToZVector(iv); |
---|
| 1540 | int d1 = zc->ambientDimension(); |
---|
| 1541 | int d2 = zv->size(); |
---|
| 1542 | if (d1 == d2) |
---|
| 1543 | { |
---|
| 1544 | bool b = (zc->containsRelatively(*zv) ? 1 : 0); |
---|
| 1545 | res->rtyp = INT_CMD; |
---|
| 1546 | res->data = (void *) b; |
---|
| 1547 | delete zv; |
---|
| 1548 | if (v->Typ() == INTMAT_CMD) |
---|
| 1549 | delete iv; |
---|
[5a1c78] | 1550 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1551 | return FALSE; |
---|
| 1552 | } |
---|
| 1553 | delete zv; |
---|
| 1554 | if (v->Typ() == INTMAT_CMD) |
---|
| 1555 | delete iv; |
---|
[5a1c78] | 1556 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1557 | Werror("expected ambient dim of cone and size of vector\n" |
---|
| 1558 | "to be equal but got %d and %d", d1, d2); |
---|
| 1559 | } |
---|
| 1560 | } |
---|
| 1561 | WerrorS("containsRelatively: unexpected parameters"); |
---|
| 1562 | return TRUE; |
---|
| 1563 | } |
---|
| 1564 | |
---|
| 1565 | BOOLEAN hasFace(leftv res, leftv args) |
---|
| 1566 | { |
---|
| 1567 | leftv u=args; |
---|
| 1568 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1569 | { |
---|
| 1570 | leftv v=u->next; |
---|
| 1571 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
| 1572 | { |
---|
[5a1c78] | 1573 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1574 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1575 | gfan::ZCone* zd = (gfan::ZCone*)v->Data(); |
---|
| 1576 | bool b = zc->hasFace(*zd); |
---|
| 1577 | res->rtyp = INT_CMD; |
---|
| 1578 | res->data = (void*) (long) b; |
---|
[5a1c78] | 1579 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1580 | return FALSE; |
---|
| 1581 | } |
---|
| 1582 | } |
---|
| 1583 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
| 1584 | { |
---|
| 1585 | leftv v=u->next; |
---|
| 1586 | if ((v != NULL) && (v->Typ() == polytopeID)) |
---|
| 1587 | { |
---|
[5a1c78] | 1588 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1589 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1590 | gfan::ZCone* zd = (gfan::ZCone*)v->Data(); |
---|
| 1591 | bool b = zc->hasFace(*zd); |
---|
| 1592 | res->rtyp = INT_CMD; |
---|
| 1593 | res->data = (void*) (long) b; |
---|
[5a1c78] | 1594 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1595 | return FALSE; |
---|
| 1596 | } |
---|
| 1597 | } |
---|
| 1598 | WerrorS("containsAsFace: unexpected parameters"); |
---|
| 1599 | return TRUE; |
---|
| 1600 | } |
---|
| 1601 | |
---|
| 1602 | BOOLEAN canonicalizeCone(leftv res, leftv args) |
---|
| 1603 | { |
---|
| 1604 | leftv u=args; |
---|
| 1605 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1606 | { |
---|
[5a1c78] | 1607 | gfan::initializeCddlibIfRequired(); |
---|
[81384b] | 1608 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1609 | gfan::ZCone* zd = new gfan::ZCone(*zc); |
---|
| 1610 | zd->canonicalize(); |
---|
| 1611 | res->rtyp = coneID; |
---|
| 1612 | res->data = (void*) zd; |
---|
[5a1c78] | 1613 | gfan::deinitializeCddlibIfRequired(); |
---|
[81384b] | 1614 | return FALSE; |
---|
| 1615 | } |
---|
| 1616 | WerrorS("canonicalizeCone: unexpected parameters"); |
---|
| 1617 | return TRUE; |
---|
| 1618 | } |
---|
| 1619 | |
---|
[4bf76b5] | 1620 | BOOLEAN containsCone(leftv res, leftv args) |
---|
| 1621 | { |
---|
| 1622 | leftv u=args; |
---|
| 1623 | if ((u != NULL) && (u->Typ() == LIST_CMD)) |
---|
| 1624 | { |
---|
| 1625 | leftv v=u->next; |
---|
| 1626 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
| 1627 | { |
---|
[5a1c78] | 1628 | gfan::initializeCddlibIfRequired(); |
---|
[4bf76b5] | 1629 | lists l = (lists) u->Data(); |
---|
| 1630 | gfan::ZCone* zc = (gfan::ZCone*) v->Data(); |
---|
| 1631 | zc->canonicalize(); |
---|
| 1632 | int b = 0; |
---|
| 1633 | for (int i=0; i<=lSize(l); i++) |
---|
| 1634 | { |
---|
| 1635 | if (l->m[i].Typ() != coneID) |
---|
| 1636 | { |
---|
| 1637 | WerrorS("containsCone: entries of wrong type in list"); |
---|
[5a1c78] | 1638 | gfan::deinitializeCddlibIfRequired(); |
---|
[4bf76b5] | 1639 | return TRUE; |
---|
| 1640 | } |
---|
| 1641 | gfan::ZCone* ll = (gfan::ZCone*) l->m[i].Data(); |
---|
| 1642 | ll->canonicalize(); |
---|
| 1643 | if (!((*ll) != (*zc))) |
---|
| 1644 | { |
---|
| 1645 | b = 1; |
---|
| 1646 | break; |
---|
| 1647 | } |
---|
| 1648 | } |
---|
| 1649 | res->rtyp = INT_CMD; |
---|
| 1650 | res->data = (char*) (long) b; |
---|
[5a1c78] | 1651 | gfan::deinitializeCddlibIfRequired(); |
---|
[4bf76b5] | 1652 | return FALSE; |
---|
| 1653 | } |
---|
| 1654 | } |
---|
| 1655 | WerrorS("containsCone: unexpected parameters"); |
---|
| 1656 | return TRUE; |
---|
| 1657 | } |
---|
| 1658 | |
---|
[7b31394] | 1659 | BOOLEAN faceContaining(leftv res, leftv args) |
---|
[e44b149] | 1660 | { |
---|
| 1661 | leftv u = args; |
---|
| 1662 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1663 | { |
---|
| 1664 | leftv v = u->next; |
---|
| 1665 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTVEC_CMD))) |
---|
| 1666 | { |
---|
[5a1c78] | 1667 | gfan::initializeCddlibIfRequired(); |
---|
[e44b149] | 1668 | gfan::ZCone* zc = (gfan::ZCone*) u->Data(); |
---|
| 1669 | |
---|
| 1670 | bigintmat* point1; |
---|
| 1671 | if (v->Typ() == INTVEC_CMD) |
---|
| 1672 | { |
---|
| 1673 | intvec* point0 = (intvec*) v->Data(); |
---|
| 1674 | point1 = iv2bim(point0,coeffs_BIGINT)->transpose(); |
---|
| 1675 | } |
---|
| 1676 | else |
---|
| 1677 | point1 = (bigintmat*) v->Data(); |
---|
| 1678 | gfan::ZVector* point = bigintmatToZVector(*point1); |
---|
| 1679 | |
---|
[7b31394] | 1680 | if (!zc->contains(*point)) |
---|
[c240db5] | 1681 | { |
---|
[7b31394] | 1682 | WerrorS("faceContaining: point not in cone"); |
---|
| 1683 | return TRUE; |
---|
[c240db5] | 1684 | } |
---|
| 1685 | res->rtyp = coneID; |
---|
| 1686 | res->data = (void*) new gfan::ZCone(zc->faceContaining(*point)); |
---|
| 1687 | |
---|
| 1688 | delete point; |
---|
| 1689 | if (v->Typ() == INTVEC_CMD) |
---|
| 1690 | delete point1; |
---|
[5a1c78] | 1691 | gfan::deinitializeCddlibIfRequired(); |
---|
[c240db5] | 1692 | return FALSE; |
---|
| 1693 | } |
---|
| 1694 | } |
---|
[7b31394] | 1695 | WerrorS("faceContaining: unexpected parameters"); |
---|
[c240db5] | 1696 | return TRUE; |
---|
| 1697 | } |
---|
| 1698 | |
---|
| 1699 | |
---|
[551009] | 1700 | /*** |
---|
| 1701 | * Computes a relative interior point for each facet of zc |
---|
| 1702 | **/ |
---|
[805feb] | 1703 | gfan::ZMatrix interiorPointsOfFacets(const gfan::ZCone &zc, const std::set<gfan::ZVector> &exceptThese) |
---|
[9c0326] | 1704 | { |
---|
[551009] | 1705 | gfan::ZMatrix inequalities = zc.getFacets(); |
---|
| 1706 | gfan::ZMatrix equations = zc.getImpliedEquations(); |
---|
| 1707 | int r = inequalities.getHeight(); |
---|
| 1708 | int c = inequalities.getWidth(); |
---|
| 1709 | |
---|
| 1710 | /* our cone has r facets, if r==0 return empty matrices */ |
---|
| 1711 | gfan::ZMatrix relativeInteriorPoints = gfan::ZMatrix(0,c); |
---|
| 1712 | if (r==0) return relativeInteriorPoints; |
---|
| 1713 | |
---|
| 1714 | /* next we iterate over each of the r facets, |
---|
| 1715 | * build the respective cone and add it to the list |
---|
| 1716 | * this is the i=0 case */ |
---|
| 1717 | gfan::ZMatrix newInequalities = inequalities.submatrix(1,0,r,c); |
---|
| 1718 | gfan::ZMatrix newEquations = equations; |
---|
| 1719 | newEquations.appendRow(inequalities[0]); |
---|
| 1720 | gfan::ZCone facet = gfan::ZCone(newInequalities,newEquations); |
---|
[805feb] | 1721 | facet.canonicalize(); |
---|
| 1722 | gfan::ZVector interiorPoint = facet.getRelativeInteriorPoint(); |
---|
| 1723 | if (exceptThese.count(interiorPoint)==0) |
---|
| 1724 | relativeInteriorPoints.appendRow(interiorPoint); |
---|
[551009] | 1725 | |
---|
| 1726 | /* these are the cases i=1,...,r-2 */ |
---|
| 1727 | for (int i=1; i<r-1; i++) |
---|
[9c0326] | 1728 | { |
---|
[551009] | 1729 | newInequalities = inequalities.submatrix(0,0,i,c); |
---|
| 1730 | newInequalities.append(inequalities.submatrix(i+1,0,r,c)); |
---|
| 1731 | newEquations = equations; |
---|
| 1732 | newEquations.appendRow(inequalities[i]); |
---|
| 1733 | facet = gfan::ZCone(newInequalities,newEquations); |
---|
[805feb] | 1734 | facet.canonicalize(); |
---|
| 1735 | interiorPoint = facet.getRelativeInteriorPoint(); |
---|
| 1736 | if (exceptThese.count(interiorPoint)==0) |
---|
| 1737 | relativeInteriorPoints.appendRow(interiorPoint); |
---|
[9c0326] | 1738 | } |
---|
[551009] | 1739 | |
---|
| 1740 | /* this is the i=r-1 case */ |
---|
| 1741 | newInequalities = inequalities.submatrix(0,0,r-1,c); |
---|
| 1742 | newEquations = equations; |
---|
| 1743 | newEquations.appendRow(inequalities[r-1]); |
---|
| 1744 | facet = gfan::ZCone(newInequalities,newEquations); |
---|
[805feb] | 1745 | facet.canonicalize(); |
---|
| 1746 | interiorPoint = facet.getRelativeInteriorPoint(); |
---|
| 1747 | if (exceptThese.count(interiorPoint)==0) |
---|
| 1748 | relativeInteriorPoints.appendRow(interiorPoint); |
---|
[551009] | 1749 | |
---|
| 1750 | return relativeInteriorPoints; |
---|
[9c0326] | 1751 | } |
---|
| 1752 | |
---|
| 1753 | |
---|
[1d85871] | 1754 | /*** |
---|
| 1755 | * Computes a relative interior point and an outer normal vector for each facet of zc |
---|
| 1756 | **/ |
---|
| 1757 | std::pair<gfan::ZMatrix,gfan::ZMatrix> interiorPointsAndNormalsOfFacets(const gfan::ZCone zc, const std::set<gfan::ZVector> &exceptThesePoints, const bool onlyLowerHalfSpace) |
---|
| 1758 | { |
---|
| 1759 | gfan::ZMatrix inequalities = zc.getFacets(); |
---|
| 1760 | gfan::ZMatrix equations = zc.getImpliedEquations(); |
---|
| 1761 | int r = inequalities.getHeight(); |
---|
| 1762 | int c = inequalities.getWidth(); |
---|
| 1763 | |
---|
| 1764 | /* our cone has r facets, if r==0 return empty matrices */ |
---|
| 1765 | gfan::ZMatrix relativeInteriorPoints = gfan::ZMatrix(0,c); |
---|
| 1766 | gfan::ZMatrix outerFacetNormals = gfan::ZMatrix(0,c); |
---|
| 1767 | if (r==0) |
---|
| 1768 | return std::make_pair(relativeInteriorPoints,outerFacetNormals); |
---|
| 1769 | |
---|
| 1770 | /* next we iterate over each of the r facets, |
---|
| 1771 | * build the respective cone and add it to the list |
---|
| 1772 | * this is the i=0 case */ |
---|
| 1773 | gfan::ZMatrix newInequalities = inequalities.submatrix(1,0,r,c); |
---|
| 1774 | gfan::ZMatrix newEquations = equations; |
---|
| 1775 | newEquations.appendRow(inequalities[0]); |
---|
| 1776 | gfan::ZCone facet = gfan::ZCone(newInequalities,newEquations); |
---|
| 1777 | gfan::ZVector interiorPoint = facet.getRelativeInteriorPoint(); |
---|
| 1778 | if (onlyLowerHalfSpace==false || interiorPoint[0].sign()<0) |
---|
| 1779 | { |
---|
| 1780 | if (exceptThesePoints.count(interiorPoint)==0) |
---|
| 1781 | { |
---|
| 1782 | relativeInteriorPoints.appendRow(interiorPoint); |
---|
[5cea7a] | 1783 | outerFacetNormals.appendRow(-inequalities[0].toVector()); |
---|
[1d85871] | 1784 | } |
---|
| 1785 | } |
---|
| 1786 | |
---|
| 1787 | /* these are the cases i=1,...,r-2 */ |
---|
| 1788 | for (int i=1; i<r-1; i++) |
---|
| 1789 | { |
---|
| 1790 | newInequalities = inequalities.submatrix(0,0,i,c); |
---|
| 1791 | newInequalities.append(inequalities.submatrix(i+1,0,r,c)); |
---|
| 1792 | newEquations = equations; |
---|
| 1793 | newEquations.appendRow(inequalities[i]); |
---|
| 1794 | facet = gfan::ZCone(newInequalities,newEquations); |
---|
| 1795 | interiorPoint = facet.getRelativeInteriorPoint(); |
---|
| 1796 | if (onlyLowerHalfSpace==false || interiorPoint[0].sign()<0) |
---|
| 1797 | { |
---|
| 1798 | if (exceptThesePoints.count(interiorPoint)==0) |
---|
| 1799 | { |
---|
| 1800 | relativeInteriorPoints.appendRow(interiorPoint); |
---|
[5cea7a] | 1801 | outerFacetNormals.appendRow(-inequalities[i].toVector()); |
---|
[1d85871] | 1802 | } |
---|
| 1803 | } |
---|
| 1804 | } |
---|
| 1805 | |
---|
| 1806 | /* this is the i=r-1 case */ |
---|
| 1807 | newInequalities = inequalities.submatrix(0,0,r-1,c); |
---|
| 1808 | newEquations = equations; |
---|
| 1809 | newEquations.appendRow(inequalities[r-1]); |
---|
| 1810 | facet = gfan::ZCone(newInequalities,newEquations); |
---|
| 1811 | interiorPoint = facet.getRelativeInteriorPoint(); |
---|
| 1812 | if (onlyLowerHalfSpace==false || interiorPoint[0].sign()<0) |
---|
| 1813 | { |
---|
| 1814 | if (exceptThesePoints.count(interiorPoint)==0) |
---|
| 1815 | { |
---|
| 1816 | relativeInteriorPoints.appendRow(interiorPoint); |
---|
[5cea7a] | 1817 | outerFacetNormals.appendRow(-inequalities[r-1].toVector()); |
---|
[1d85871] | 1818 | } |
---|
| 1819 | } |
---|
| 1820 | |
---|
| 1821 | return std::make_pair(relativeInteriorPoints,outerFacetNormals); |
---|
| 1822 | } |
---|
| 1823 | |
---|
[086e32] | 1824 | |
---|
| 1825 | static void gfanIntegerWriteFd(gfan::Integer n, ssiInfo* dd) |
---|
| 1826 | { |
---|
| 1827 | mpz_t tmp; |
---|
| 1828 | mpz_init(tmp); |
---|
| 1829 | n.setGmp(tmp); |
---|
| 1830 | mpz_out_str (dd->f_write,SSI_BASE, tmp); |
---|
| 1831 | mpz_clear(tmp); |
---|
| 1832 | fputc(' ',dd->f_write); |
---|
| 1833 | } |
---|
| 1834 | |
---|
| 1835 | static void gfanZMatrixWriteFd(gfan::ZMatrix M, ssiInfo* dd) |
---|
| 1836 | { |
---|
| 1837 | fprintf(dd->f_write,"%d %d ",M.getHeight(),M.getWidth()); |
---|
| 1838 | |
---|
| 1839 | for (int i=0; i<M.getHeight(); i++) |
---|
| 1840 | { |
---|
| 1841 | for (int j=0; j<M.getWidth(); j++) |
---|
| 1842 | { |
---|
| 1843 | gfanIntegerWriteFd(M[i][j],dd); |
---|
| 1844 | } |
---|
| 1845 | } |
---|
| 1846 | } |
---|
| 1847 | |
---|
[9adfe5] | 1848 | BOOLEAN bbcone_serialize(blackbox *b, void *d, si_link f) |
---|
| 1849 | { |
---|
| 1850 | ssiInfo *dd = (ssiInfo *)f->data; |
---|
[086e32] | 1851 | |
---|
[9adfe5] | 1852 | sleftv l; |
---|
| 1853 | memset(&l,0,sizeof(l)); |
---|
| 1854 | l.rtyp=STRING_CMD; |
---|
| 1855 | l.data=(void*)"cone"; |
---|
| 1856 | f->m->Write(f, &l); |
---|
[086e32] | 1857 | |
---|
| 1858 | gfan::ZCone *Z = (gfan::ZCone*) d; |
---|
| 1859 | fprintf(dd->f_write,"%d ",Z->areImpliedEquationsKnown()+Z->areFacetsKnown()*2); |
---|
| 1860 | |
---|
[9adfe5] | 1861 | gfan::ZMatrix i=Z->getInequalities(); |
---|
[086e32] | 1862 | gfanZMatrixWriteFd(i,dd); |
---|
| 1863 | |
---|
[9adfe5] | 1864 | gfan::ZMatrix e=Z->getEquations(); |
---|
[086e32] | 1865 | gfanZMatrixWriteFd(e,dd); |
---|
| 1866 | |
---|
[6de42f9] | 1867 | // assert(i.getWidth() == e.getWidth()); |
---|
[9adfe5] | 1868 | return FALSE; |
---|
| 1869 | } |
---|
[086e32] | 1870 | |
---|
| 1871 | static gfan::Integer gfanIntegerReadFd(ssiInfo* dd) |
---|
| 1872 | { |
---|
| 1873 | mpz_t tmp; |
---|
| 1874 | mpz_init(tmp); |
---|
[6de42f9] | 1875 | s_readmpz_base(dd->f_read,tmp,SSI_BASE); |
---|
[086e32] | 1876 | gfan::Integer n(tmp); |
---|
| 1877 | mpz_clear(tmp); |
---|
| 1878 | return n; |
---|
| 1879 | } |
---|
| 1880 | |
---|
| 1881 | static gfan::ZMatrix gfanZMatrixReadFd(ssiInfo* dd) |
---|
| 1882 | { |
---|
| 1883 | int r=s_readint(dd->f_read); |
---|
| 1884 | int c=s_readint(dd->f_read); |
---|
| 1885 | |
---|
| 1886 | gfan::ZMatrix M(r,c); |
---|
| 1887 | for (int i=0; i<r; i++) |
---|
| 1888 | { |
---|
| 1889 | for (int j=0; j<c; j++) |
---|
| 1890 | { |
---|
| 1891 | M[i][j] = gfanIntegerReadFd(dd); |
---|
| 1892 | } |
---|
| 1893 | } |
---|
| 1894 | return M; |
---|
| 1895 | } |
---|
| 1896 | |
---|
[9adfe5] | 1897 | BOOLEAN bbcone_deserialize(blackbox **b, void **d, si_link f) |
---|
| 1898 | { |
---|
| 1899 | ssiInfo *dd = (ssiInfo *)f->data; |
---|
[086e32] | 1900 | int preassumptions = s_readint(dd->f_read); |
---|
| 1901 | |
---|
| 1902 | gfan::ZMatrix i = gfanZMatrixReadFd(dd); |
---|
| 1903 | gfan::ZMatrix e = gfanZMatrixReadFd(dd); |
---|
| 1904 | |
---|
[6de42f9] | 1905 | // if (e.getHeight()==0) // why is e sometimes 0x0 and sometimex 0xn??? |
---|
| 1906 | // e = gfan::ZMatrix(0,i.getWidth()); |
---|
| 1907 | |
---|
[086e32] | 1908 | gfan::ZCone* Z = new gfan::ZCone(i,e,preassumptions); |
---|
| 1909 | |
---|
[9adfe5] | 1910 | *d=Z; |
---|
| 1911 | return FALSE; |
---|
| 1912 | } |
---|
[086e32] | 1913 | |
---|
[58b407] | 1914 | void bbcone_setup(SModulFunctions* p) |
---|
[81384b] | 1915 | { |
---|
| 1916 | blackbox *b=(blackbox*)omAlloc0(sizeof(blackbox)); |
---|
| 1917 | // all undefined entries will be set to default in setBlackboxStuff |
---|
| 1918 | // the default Print is quite usefull, |
---|
| 1919 | // all other are simply error messages |
---|
| 1920 | b->blackbox_destroy=bbcone_destroy; |
---|
| 1921 | b->blackbox_String=bbcone_String; |
---|
| 1922 | // b->blackbox_Print=blackbox_default_Print; |
---|
| 1923 | b->blackbox_Init=bbcone_Init; |
---|
| 1924 | b->blackbox_Copy=bbcone_Copy; |
---|
| 1925 | b->blackbox_Assign=bbcone_Assign; |
---|
| 1926 | b->blackbox_Op2=bbcone_Op2; |
---|
[086e32] | 1927 | b->blackbox_serialize=bbcone_serialize; |
---|
| 1928 | b->blackbox_deserialize=bbcone_deserialize; |
---|
[e5d096] | 1929 | p->iiAddCproc("gfan.lib","coneViaInequalities",FALSE,coneViaNormals); |
---|
| 1930 | p->iiAddCproc("gfan.lib","coneViaPoints",FALSE,coneViaRays); |
---|
[4bf76b5] | 1931 | p->iiAddCproc("","listContainsCone",FALSE,containsCone); |
---|
[e5d096] | 1932 | // iiAddCproc("gfan.lib","makePolytope",FALSE,coneToPolytope); |
---|
| 1933 | p->iiAddCproc("gfan.lib","ambientDimension",FALSE,ambientDimension); |
---|
| 1934 | p->iiAddCproc("gfan.lib","canonicalizeCone",FALSE,canonicalizeCone); |
---|
| 1935 | p->iiAddCproc("gfan.lib","codimension",FALSE,codimension); |
---|
| 1936 | p->iiAddCproc("gfan.lib","coneLink",FALSE,coneLink); |
---|
| 1937 | p->iiAddCproc("gfan.lib","containsAsFace",FALSE,hasFace); |
---|
| 1938 | p->iiAddCproc("gfan.lib","containsInSupport",FALSE,containsInSupport); |
---|
| 1939 | p->iiAddCproc("gfan.lib","containsPositiveVector",FALSE,containsPositiveVector); |
---|
| 1940 | p->iiAddCproc("gfan.lib","containsRelatively",FALSE,containsRelatively); |
---|
| 1941 | p->iiAddCproc("gfan.lib","convexHull",FALSE,convexHull); |
---|
| 1942 | p->iiAddCproc("gfan.lib","convexIntersection",FALSE,intersectCones); |
---|
| 1943 | p->iiAddCproc("gfan.lib","dimension",FALSE,dimension); |
---|
| 1944 | p->iiAddCproc("gfan.lib","dualCone",FALSE,dualCone); |
---|
| 1945 | p->iiAddCproc("gfan.lib","equations",FALSE,equations); |
---|
| 1946 | p->iiAddCproc("gfan.lib","facets",FALSE,facets); |
---|
| 1947 | p->iiAddCproc("gfan.lib","generatorsOfLinealitySpace",FALSE,generatorsOfLinealitySpace); |
---|
| 1948 | p->iiAddCproc("gfan.lib","generatorsOfSpan",FALSE,generatorsOfSpan); |
---|
| 1949 | p->iiAddCproc("gfan.lib","getLinearForms",FALSE,getLinearForms); |
---|
| 1950 | p->iiAddCproc("gfan.lib","getMultiplicity",FALSE,getMultiplicity); |
---|
| 1951 | p->iiAddCproc("gfan.lib","inequalities",FALSE,inequalities); |
---|
| 1952 | p->iiAddCproc("gfan.lib","isFullSpace",FALSE,isFullSpace); |
---|
| 1953 | p->iiAddCproc("gfan.lib","isOrigin",FALSE,isOrigin); |
---|
| 1954 | p->iiAddCproc("gfan.lib","isSimplicial",FALSE,isSimplicial); |
---|
| 1955 | p->iiAddCproc("gfan.lib","linealityDimension",FALSE,linealityDimension); |
---|
| 1956 | p->iiAddCproc("gfan.lib","linealitySpace",FALSE,linealitySpace); |
---|
| 1957 | p->iiAddCproc("gfan.lib","negatedCone",FALSE,negatedCone); |
---|
| 1958 | p->iiAddCproc("gfan.lib","quotientLatticeBasis",FALSE,quotientLatticeBasis); |
---|
| 1959 | p->iiAddCproc("gfan.lib","randomPoint",FALSE,randomPoint); |
---|
| 1960 | p->iiAddCproc("gfan.lib","rays",FALSE,rays); |
---|
| 1961 | p->iiAddCproc("gfan.lib","relativeInteriorPoint",FALSE,relativeInteriorPoint); |
---|
| 1962 | p->iiAddCproc("gfan.lib","semigroupGenerator",FALSE,semigroupGenerator); |
---|
| 1963 | p->iiAddCproc("gfan.lib","setLinearForms",FALSE,setLinearForms); |
---|
| 1964 | p->iiAddCproc("gfan.lib","setMultiplicity",FALSE,setMultiplicity); |
---|
| 1965 | p->iiAddCproc("gfan.lib","span",FALSE,impliedEquations); |
---|
| 1966 | p->iiAddCproc("gfan.lib","uniquePoint",FALSE,uniquePoint); |
---|
| 1967 | p->iiAddCproc("gfan.lib","faceContaining",FALSE,faceContaining); |
---|
[81384b] | 1968 | coneID=setBlackboxStuff(b,"cone"); |
---|
| 1969 | } |
---|
[9996416] | 1970 | |
---|
| 1971 | #endif |
---|