[81384b] | 1 | #include <kernel/mod2.h> |
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| 2 | |
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| 3 | #include <gfanlib/gfanlib.h> |
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| 4 | #include <gfanlib/gfanlib_q.h> |
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| 5 | |
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| 6 | #include <Singular/ipid.h> |
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| 7 | #include <Singular/ipshell.h> |
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| 8 | #include <Singular/blackbox.h> |
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| 9 | #include <libpolys/misc/intvec.h> |
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| 10 | #include <libpolys/coeffs/longrat.h> |
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| 11 | #include <libpolys/coeffs/bigintmat.h> |
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| 12 | |
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| 13 | #include <bbfan.h> |
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| 14 | #include <bbpolytope.h> |
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| 15 | #include <sstream> |
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| 16 | |
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[58b407] | 17 | #include "Singular/ipid.h" |
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| 18 | |
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[81384b] | 19 | // #include <omalloc/omalloc.h> |
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| 20 | // #include <kernel/febase.h> |
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| 21 | // #include <kernel/intvec.h> |
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| 22 | // #include <kernel/longrat.h> |
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| 23 | // #include <Singular/lists.h> |
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| 24 | // #include <Singular/subexpr.h> |
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| 25 | |
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| 26 | int coneID; |
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| 27 | |
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| 28 | number integerToNumber(const gfan::Integer &I) |
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| 29 | { |
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| 30 | mpz_t i; |
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| 31 | mpz_init(i); |
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| 32 | I.setGmp(i); |
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| 33 | long m = 268435456; |
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| 34 | if(mpz_cmp_si(i,m)) |
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| 35 | { |
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| 36 | int temp = (int) mpz_get_si(i); |
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| 37 | return n_Init(temp,coeffs_BIGINT); |
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| 38 | } |
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| 39 | else |
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| 40 | return n_InitMPZ(i,coeffs_BIGINT); |
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| 41 | } |
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| 42 | |
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| 43 | bigintmat* zVectorToBigintmat(const gfan::ZVector &zv) |
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| 44 | { |
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| 45 | int d=zv.size(); |
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| 46 | bigintmat* bim = new bigintmat(1,d,coeffs_BIGINT); |
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| 47 | for(int i=1;i<=d;i++) |
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| 48 | { |
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| 49 | number temp = integerToNumber(zv[i-1]); |
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| 50 | bim->set(1,i,temp); |
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| 51 | n_Delete(&temp,coeffs_BIGINT); |
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| 52 | } |
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| 53 | return bim; |
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| 54 | } |
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| 55 | |
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| 56 | bigintmat* zMatrixToBigintmat(const gfan::ZMatrix &zm) |
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| 57 | { |
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| 58 | int d=zm.getHeight(); |
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| 59 | int n=zm.getWidth(); |
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| 60 | bigintmat* bim = new bigintmat(d,n,coeffs_BIGINT); |
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| 61 | for(int i=1;i<=d;i++) |
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| 62 | for(int j=1; j<=n; j++) |
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| 63 | { |
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| 64 | number temp = integerToNumber(zm[i-1][j-1]); |
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| 65 | bim->set(i,j,temp); |
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| 66 | n_Delete(&temp,coeffs_BIGINT); |
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| 67 | } |
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| 68 | return bim; |
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| 69 | } |
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| 70 | |
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| 71 | gfan::Integer* numberToInteger(const number &n) |
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| 72 | { |
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| 73 | if (SR_HDL(n) & SR_INT) |
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| 74 | return new gfan::Integer(SR_TO_INT(n)); |
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| 75 | else |
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| 76 | return new gfan::Integer(n->z); |
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| 77 | } |
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| 78 | |
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| 79 | gfan::ZMatrix* bigintmatToZMatrix(const bigintmat &bim) |
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| 80 | { |
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| 81 | int d=bim.rows(); |
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| 82 | int n=bim.cols(); |
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| 83 | gfan::ZMatrix* zm = new gfan::ZMatrix(d,n); |
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| 84 | for(int i=0;i<d;i++) |
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| 85 | for(int j=0;j<n;j++) |
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| 86 | { |
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| 87 | number temp = BIMATELEM(bim, i+1, j+1); |
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| 88 | gfan::Integer* gi = numberToInteger(temp); |
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| 89 | (*zm)[i][j] = *gi; |
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| 90 | delete gi; |
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| 91 | } |
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| 92 | return zm; |
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| 93 | } |
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| 94 | |
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| 95 | gfan::ZVector* bigintmatToZVector(const bigintmat &bim) |
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| 96 | { |
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| 97 | gfan::ZVector* zv=new gfan::ZVector(bim.cols()); |
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| 98 | for(int j=0; j<bim.cols(); j++) |
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| 99 | { |
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| 100 | number temp = BIMATELEM(bim, 1, j+1); |
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| 101 | gfan::Integer* gi = numberToInteger(temp); |
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| 102 | (*zv)[j] = *gi; |
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| 103 | n_Delete(&temp,coeffs_BIGINT); |
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| 104 | delete gi; |
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| 105 | } |
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| 106 | return zv; |
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| 107 | } |
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| 108 | |
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| 109 | char* toString(gfan::ZMatrix const &zm) |
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| 110 | { |
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| 111 | bigintmat* bim = zMatrixToBigintmat(zm); |
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| 112 | char* s = bim->StringAsPrinted(); |
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[e44b149] | 113 | if (s==NULL) |
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| 114 | s = (char*) omAlloc0(sizeof(char)); |
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[81384b] | 115 | delete bim; |
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| 116 | return s; |
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| 117 | } |
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| 118 | |
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| 119 | std::string toString(const gfan::ZCone* const c) |
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| 120 | { |
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| 121 | std::stringstream s; |
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| 122 | s<<"AMBIENT_DIM"<<std::endl; |
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| 123 | s<<c->ambientDimension()<<std::endl; |
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[c8e115] | 124 | |
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| 125 | gfan::ZMatrix i=c->getInequalities(); |
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| 126 | char* ineqs = toString(i); |
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[81384b] | 127 | if (c->areFacetsKnown()) |
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| 128 | s<<"FACETS"<<std::endl; |
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| 129 | else |
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| 130 | s<<"INEQUALITIES"<<std::endl; |
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[c8e115] | 131 | if (ineqs!=NULL) |
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| 132 | { |
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| 133 | s<<ineqs<<std::endl; |
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| 134 | delete ineqs; |
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| 135 | } |
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| 136 | |
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| 137 | gfan::ZMatrix e=c->getEquations(); |
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| 138 | char* eqs = toString(e); |
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[81384b] | 139 | if (c->areImpliedEquationsKnown()) |
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| 140 | s<<"LINEAR_SPAN"<<std::endl; |
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| 141 | else |
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| 142 | s<<"EQUATIONS"<<std::endl; |
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[c8e115] | 143 | if (eqs!=NULL) |
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| 144 | { |
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| 145 | s<<eqs<<std::endl; |
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| 146 | delete eqs; |
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| 147 | } |
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| 148 | |
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| 149 | if (c->areExtremeRaysKnown()) |
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| 150 | { |
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| 151 | gfan::ZMatrix r=c->extremeRays(); |
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| 152 | char* rs = toString(r); |
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| 153 | s<<"RAYS"<<std::endl; |
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| 154 | if (rs!=NULL) |
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| 155 | { |
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| 156 | s<<rs<<std::endl; |
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| 157 | delete rs; |
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| 158 | } |
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| 159 | gfan::ZMatrix l=c->generatorsOfLinealitySpace(); |
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| 160 | char* ls = toString(l); |
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| 161 | s<<"LINEALITY_SPACE"<<std::endl; |
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| 162 | if (ls!=NULL) |
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| 163 | { |
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| 164 | s<<ls<<std::endl; |
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| 165 | delete ls; |
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| 166 | } |
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| 167 | } |
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| 168 | |
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[81384b] | 169 | return s.str(); |
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| 170 | } |
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| 171 | |
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| 172 | void* bbcone_Init(blackbox *b) |
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| 173 | { |
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| 174 | return (void*)(new gfan::ZCone()); |
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| 175 | } |
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| 176 | |
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| 177 | BOOLEAN bbcone_Assign(leftv l, leftv r) |
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| 178 | { |
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| 179 | gfan::ZCone* newZc; |
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| 180 | if (r==NULL) |
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| 181 | { |
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| 182 | if (l->Data()!=NULL) |
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| 183 | { |
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| 184 | gfan::ZCone* zd = (gfan::ZCone*)l->Data(); |
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| 185 | delete zd; |
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| 186 | } |
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| 187 | newZc = new gfan::ZCone(); |
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| 188 | } |
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| 189 | else if (r->Typ()==l->Typ()) |
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| 190 | { |
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| 191 | if (l->Data()!=NULL) |
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| 192 | { |
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| 193 | gfan::ZCone* zd = (gfan::ZCone*)l->Data(); |
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| 194 | delete zd; |
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| 195 | } |
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| 196 | gfan::ZCone* zc = (gfan::ZCone*)r->Data(); |
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| 197 | newZc = new gfan::ZCone(*zc); |
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| 198 | } |
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| 199 | else if (r->Typ()==INT_CMD) |
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| 200 | { |
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| 201 | int ambientDim = (int)(long)r->Data(); |
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| 202 | if (ambientDim < 0) |
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| 203 | { |
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| 204 | Werror("expected an int >= 0, but got %d", ambientDim); |
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| 205 | return TRUE; |
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| 206 | } |
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| 207 | if (l->Data()!=NULL) |
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| 208 | { |
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| 209 | gfan::ZCone* zd = (gfan::ZCone*)l->Data(); |
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| 210 | delete zd; |
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| 211 | } |
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| 212 | newZc = new gfan::ZCone(ambientDim); |
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| 213 | } |
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| 214 | else |
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| 215 | { |
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| 216 | Werror("assign Type(%d) = Type(%d) not implemented",l->Typ(),r->Typ()); |
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| 217 | return TRUE; |
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| 218 | } |
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| 219 | |
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| 220 | if (l->rtyp==IDHDL) |
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| 221 | { |
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| 222 | IDDATA((idhdl)l->data)=(char*) newZc; |
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| 223 | } |
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| 224 | else |
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| 225 | { |
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| 226 | l->data=(void *)newZc; |
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| 227 | } |
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| 228 | return FALSE; |
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| 229 | } |
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| 230 | |
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| 231 | char * bbcone_String(blackbox *b, void *d) |
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| 232 | { |
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| 233 | if (d==NULL) return omStrDup("invalid object"); |
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| 234 | else |
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| 235 | { |
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| 236 | std::string s=toString((gfan::ZCone*) d); |
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| 237 | return omStrDup(s.c_str()); |
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| 238 | } |
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| 239 | } |
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| 240 | |
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| 241 | void bbcone_destroy(blackbox *b, void *d) |
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| 242 | { |
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| 243 | if (d!=NULL) |
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| 244 | { |
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| 245 | gfan::ZCone* zc = (gfan::ZCone*) d; |
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| 246 | delete zc; |
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| 247 | } |
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| 248 | } |
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| 249 | |
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| 250 | void* bbcone_Copy(blackbox*b, void *d) |
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| 251 | { |
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| 252 | gfan::ZCone* zc = (gfan::ZCone*)d; |
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| 253 | gfan::ZCone* newZc = new gfan::ZCone(*zc); |
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| 254 | return newZc; |
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| 255 | } |
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| 256 | |
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| 257 | static BOOLEAN bbcone_Op2(int op, leftv res, leftv i1, leftv i2) |
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| 258 | { |
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| 259 | gfan::ZCone* zp = (gfan::ZCone*) i1->Data(); |
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| 260 | switch(op) |
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| 261 | { |
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| 262 | case '&': |
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| 263 | { |
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| 264 | if (i2->Typ()==coneID) |
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| 265 | { |
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| 266 | gfan::ZCone* zq = (gfan::ZCone*) i2->Data(); |
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| 267 | int d1 = zp->ambientDimension(); |
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| 268 | int d2 = zq->ambientDimension(); |
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| 269 | if (d1 != d2) |
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| 270 | { |
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| 271 | WerrorS("mismatching ambient dimensions"); |
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| 272 | return TRUE; |
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| 273 | } |
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| 274 | gfan::ZCone* zs = new gfan::ZCone(); |
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| 275 | *zs = gfan::intersection(*zp, *zq); |
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| 276 | zs->canonicalize(); |
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| 277 | res->rtyp = coneID; |
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| 278 | res->data = (void*) zs; |
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| 279 | return FALSE; |
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| 280 | } |
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| 281 | return blackboxDefaultOp2(op,res,i1,i2); |
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| 282 | } |
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| 283 | case '|': |
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| 284 | { |
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| 285 | if(i2->Typ()==coneID) |
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| 286 | { |
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| 287 | gfan::ZCone* zq = (gfan::ZCone*) i2->Data(); |
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| 288 | int d1 = zp->ambientDimension(); |
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| 289 | int d2 = zq->ambientDimension(); |
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| 290 | if (d1 != d2) |
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| 291 | { |
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| 292 | WerrorS("mismatching ambient dimensions"); |
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| 293 | return TRUE; |
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| 294 | } |
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| 295 | gfan::ZMatrix rays = zp->extremeRays(); |
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| 296 | rays.append(zq->extremeRays()); |
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| 297 | gfan::ZMatrix lineality = zp->generatorsOfLinealitySpace(); |
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| 298 | lineality.append(zq->generatorsOfLinealitySpace()); |
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| 299 | gfan::ZCone* zs = new gfan::ZCone(); |
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| 300 | *zs = gfan::ZCone::givenByRays(rays,lineality); |
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| 301 | zs->canonicalize(); |
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| 302 | res->rtyp = coneID; |
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| 303 | res->data = (void*) zs; |
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| 304 | return FALSE; |
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| 305 | } |
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| 306 | return blackboxDefaultOp2(op,res,i1,i2); |
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| 307 | } |
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| 308 | case EQUAL_EQUAL: |
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| 309 | { |
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| 310 | if(i2->Typ()==coneID) |
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| 311 | { |
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| 312 | gfan::ZCone* zq = (gfan::ZCone*) i2->Data(); |
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| 313 | zp->canonicalize(); |
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| 314 | zq->canonicalize(); |
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| 315 | bool b = !((*zp)!=(*zq)); |
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| 316 | res->rtyp = INT_CMD; |
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| 317 | res->data = (void*) b; |
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| 318 | return FALSE; |
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| 319 | } |
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| 320 | return blackboxDefaultOp2(op,res,i1,i2); |
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| 321 | } |
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| 322 | default: |
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| 323 | return blackboxDefaultOp2(op,res,i1,i2); |
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| 324 | } |
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| 325 | return blackboxDefaultOp2(op,res,i1,i2); |
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| 326 | } |
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| 327 | |
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| 328 | |
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| 329 | /* singular wrapper for gfanlib functions */ |
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| 330 | static BOOLEAN jjCONENORMALS1(leftv res, leftv v) |
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| 331 | { |
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| 332 | /* method for generating a cone object from inequalities; |
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| 333 | valid parametrizations: (intmat) */ |
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| 334 | bigintmat* ineq = NULL; |
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| 335 | if (v->Typ() == INTMAT_CMD) |
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| 336 | { |
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| 337 | intvec* ineq0 = (intvec*) v->Data(); |
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| 338 | ineq = iv2bim(ineq0,coeffs_BIGINT); |
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| 339 | } |
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| 340 | else |
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| 341 | ineq = (bigintmat*) v->Data(); |
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| 342 | gfan::ZMatrix* zm = bigintmatToZMatrix(ineq); |
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| 343 | gfan::ZCone* zc = new gfan::ZCone(*zm, gfan::ZMatrix(0, zm->getWidth())); |
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| 344 | delete zm; |
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| 345 | if (v->Typ() == INTMAT_CMD) |
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| 346 | delete ineq; |
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| 347 | res->rtyp = coneID; |
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| 348 | res->data = (void*) zc; |
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| 349 | return FALSE; |
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| 350 | } |
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| 351 | |
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| 352 | static BOOLEAN jjCONENORMALS2(leftv res, leftv u, leftv v) |
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| 353 | { |
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| 354 | /* method for generating a cone object from iequalities, |
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| 355 | and equations (...) |
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| 356 | valid parametrizations: (intmat, intmat) |
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| 357 | Errors will be invoked in the following cases: |
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| 358 | - u and v have different numbers of columns */ |
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| 359 | bigintmat* ineq = NULL; bigintmat* eq = NULL; |
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| 360 | if (u->Typ() == INTMAT_CMD) |
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| 361 | { |
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| 362 | intvec* ineq0 = (intvec*) u->Data(); |
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| 363 | ineq = iv2bim(ineq0,coeffs_BIGINT); |
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| 364 | } |
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| 365 | else |
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| 366 | ineq = (bigintmat*) u->Data(); |
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| 367 | if (v->Typ() == INTMAT_CMD) |
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| 368 | { |
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| 369 | intvec* eq0 = (intvec*) v->Data(); |
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| 370 | eq = iv2bim(eq0,coeffs_BIGINT); |
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| 371 | } |
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| 372 | else |
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| 373 | eq = (bigintmat*) v->Data(); |
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| 374 | |
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| 375 | if (ineq->cols() != eq->cols()) |
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| 376 | { |
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| 377 | Werror("expected same number of columns but got %d vs. %d", |
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| 378 | ineq->cols(), eq->cols()); |
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| 379 | return TRUE; |
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| 380 | } |
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| 381 | gfan::ZMatrix* zm1 = bigintmatToZMatrix(ineq); |
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| 382 | gfan::ZMatrix* zm2 = bigintmatToZMatrix(eq); |
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| 383 | gfan::ZCone* zc = new gfan::ZCone(*zm1, *zm2); |
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| 384 | delete zm1; |
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| 385 | delete zm2; |
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| 386 | if (u->Typ() == INTMAT_CMD) |
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| 387 | delete ineq; |
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| 388 | if (v->Typ() == INTMAT_CMD) |
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| 389 | delete eq; |
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| 390 | res->rtyp = coneID; |
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| 391 | res->data = (void*) zc; |
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| 392 | return FALSE; |
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| 393 | } |
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| 394 | |
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| 395 | static BOOLEAN jjCONENORMALS3(leftv res, leftv u, leftv v, leftv w) |
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| 396 | { |
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| 397 | /* method for generating a cone object from inequalities, equations, |
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| 398 | and an integer k; |
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| 399 | valid parametrizations: (intmat, intmat, int); |
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| 400 | Errors will be invoked in the following cases: |
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| 401 | - u and v have different numbers of columns, |
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| 402 | - k not in [0..3]; |
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| 403 | if the 2^0-bit of k is set, then ... */ |
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| 404 | bigintmat* ineq = NULL; bigintmat* eq = NULL; |
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| 405 | if (u->Typ() == INTMAT_CMD) |
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| 406 | { |
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| 407 | intvec* ineq0 = (intvec*) u->Data(); |
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| 408 | ineq = iv2bim(ineq0,coeffs_BIGINT); |
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| 409 | } |
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| 410 | else |
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| 411 | ineq = (bigintmat*) u->Data(); |
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| 412 | if (v->Typ() == INTMAT_CMD) |
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| 413 | { |
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| 414 | intvec* eq0 = (intvec*) v->Data(); |
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| 415 | eq = iv2bim(eq0,coeffs_BIGINT); |
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| 416 | } |
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| 417 | else |
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| 418 | eq = (bigintmat*) v->Data(); |
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| 419 | if (ineq->cols() != eq->cols()) |
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| 420 | { |
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| 421 | Werror("expected same number of columns but got %d vs. %d", |
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| 422 | ineq->cols(), eq->cols()); |
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| 423 | return TRUE; |
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| 424 | } |
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| 425 | int k = (int)(long)w->Data(); |
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| 426 | if ((k < 0) || (k > 3)) |
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| 427 | { |
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| 428 | WerrorS("expected int argument in [0..3]"); |
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| 429 | return TRUE; |
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| 430 | } |
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| 431 | gfan::ZMatrix* zm1 = bigintmatToZMatrix(ineq); |
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| 432 | gfan::ZMatrix* zm2 = bigintmatToZMatrix(eq); |
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| 433 | gfan::ZCone* zc = new gfan::ZCone(*zm1, *zm2, k); |
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| 434 | delete zm1; |
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| 435 | delete zm2; |
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| 436 | if (u->Typ() == INTMAT_CMD) |
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| 437 | delete ineq; |
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| 438 | if (v->Typ() == INTMAT_CMD) |
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| 439 | delete eq; |
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| 440 | res->rtyp = coneID; |
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| 441 | res->data = (void*) zc; |
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| 442 | return FALSE; |
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| 443 | } |
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| 444 | |
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| 445 | BOOLEAN coneViaNormals(leftv res, leftv args) |
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| 446 | { |
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| 447 | leftv u = args; |
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| 448 | if ((u != NULL) && ((u->Typ() == BIGINTMAT_CMD) || (u->Typ() == INTMAT_CMD))) |
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| 449 | { |
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| 450 | if (u->next == NULL) return jjCONENORMALS1(res, u); |
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| 451 | } |
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| 452 | leftv v = u->next; |
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| 453 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTMAT_CMD))) |
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| 454 | { |
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| 455 | if (v->next == NULL) return jjCONENORMALS2(res, u, v); |
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| 456 | } |
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| 457 | leftv w = v->next; |
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| 458 | if ((w != NULL) && (w->Typ() == INT_CMD)) |
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| 459 | { |
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| 460 | if (w->next == NULL) return jjCONENORMALS3(res, u, v, w); |
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| 461 | } |
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| 462 | WerrorS("coneViaInequalities: unexpected parameters"); |
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| 463 | return TRUE; |
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| 464 | } |
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| 465 | |
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| 466 | static BOOLEAN jjCONERAYS1(leftv res, leftv v) |
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| 467 | { |
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| 468 | /* method for generating a cone object from half-lines |
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| 469 | (cone = convex hull of the half-lines; note: there may be |
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| 470 | entire lines in the cone); |
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| 471 | valid parametrizations: (intmat) */ |
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| 472 | bigintmat* rays = NULL; |
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| 473 | if (v->Typ() == INTMAT_CMD) |
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| 474 | { |
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| 475 | intvec* rays0 = (intvec*) v->Data(); |
---|
| 476 | rays = iv2bim(rays0,coeffs_BIGINT); |
---|
| 477 | } |
---|
| 478 | else |
---|
| 479 | rays = (bigintmat*) v->Data(); |
---|
| 480 | |
---|
| 481 | gfan::ZMatrix* zm = bigintmatToZMatrix(rays); |
---|
| 482 | gfan::ZCone* zc = new gfan::ZCone(); |
---|
| 483 | *zc = gfan::ZCone::givenByRays(*zm, gfan::ZMatrix(0, zm->getWidth())); |
---|
| 484 | res->rtyp = coneID; |
---|
| 485 | res->data = (void*) zc; |
---|
| 486 | |
---|
| 487 | delete zm; |
---|
| 488 | if (v->Typ() == INTMAT_CMD) |
---|
| 489 | delete rays; |
---|
| 490 | return FALSE; |
---|
| 491 | } |
---|
| 492 | |
---|
| 493 | static BOOLEAN jjCONERAYS2(leftv res, leftv u, leftv v) |
---|
| 494 | { |
---|
| 495 | /* method for generating a cone object from half-lines, |
---|
| 496 | and lines (any point in the cone being the sum of a point |
---|
| 497 | in the convex hull of the half-lines and a point in the span |
---|
| 498 | of the lines; the second argument may contain or entirely consist |
---|
| 499 | of zero rows); |
---|
| 500 | valid parametrizations: (intmat, intmat) |
---|
| 501 | Errors will be invoked in the following cases: |
---|
| 502 | - u and v have different numbers of columns */ |
---|
| 503 | bigintmat* rays = NULL; bigintmat* linSpace = NULL; |
---|
| 504 | if (u->Typ() == INTMAT_CMD) |
---|
| 505 | { |
---|
| 506 | intvec* rays0 = (intvec*) u->Data(); |
---|
| 507 | rays = iv2bim(rays0,coeffs_BIGINT); |
---|
| 508 | } |
---|
| 509 | else |
---|
| 510 | rays = (bigintmat*) u->Data(); |
---|
| 511 | if (v->Typ() == INTMAT_CMD) |
---|
| 512 | { |
---|
| 513 | intvec* linSpace0 = (intvec*) v->Data(); |
---|
| 514 | linSpace = iv2bim(linSpace0,coeffs_BIGINT); |
---|
| 515 | } |
---|
| 516 | else |
---|
| 517 | linSpace = (bigintmat*) v->Data(); |
---|
| 518 | |
---|
| 519 | if (rays->cols() != linSpace->cols()) |
---|
| 520 | { |
---|
| 521 | Werror("expected same number of columns but got %d vs. %d", |
---|
| 522 | rays->cols(), linSpace->cols()); |
---|
| 523 | return TRUE; |
---|
| 524 | } |
---|
| 525 | gfan::ZMatrix* zm1 = bigintmatToZMatrix(rays); |
---|
| 526 | gfan::ZMatrix* zm2 = bigintmatToZMatrix(linSpace); |
---|
| 527 | gfan::ZCone* zc = new gfan::ZCone(); |
---|
| 528 | *zc = gfan::ZCone::givenByRays(*zm1, *zm2); |
---|
| 529 | res->rtyp = coneID; |
---|
| 530 | res->data = (void*) zc; |
---|
| 531 | |
---|
| 532 | delete zm1; |
---|
| 533 | delete zm2; |
---|
| 534 | if (u->Typ() == INTMAT_CMD) |
---|
| 535 | delete rays; |
---|
| 536 | if (v->Typ() == INTMAT_CMD) |
---|
| 537 | delete linSpace; |
---|
| 538 | return FALSE; |
---|
| 539 | } |
---|
| 540 | |
---|
| 541 | static BOOLEAN jjCONERAYS3(leftv res, leftv u, leftv v, leftv w) |
---|
| 542 | { |
---|
| 543 | /* method for generating a cone object from half-lines, |
---|
| 544 | and lines (any point in the cone being the sum of a point |
---|
| 545 | in the convex hull of the half-lines and a point in the span |
---|
| 546 | of the lines), and an integer k; |
---|
| 547 | valid parametrizations: (intmat, intmat, int); |
---|
| 548 | Errors will be invoked in the following cases: |
---|
| 549 | - u and v have different numbers of columns, |
---|
| 550 | - k not in [0..3]; |
---|
| 551 | if the 2^0-bit of k is set, then the lineality space is known |
---|
| 552 | to be the span of the provided lines; |
---|
| 553 | if the 2^1-bit of k is set, then the extreme rays are known: |
---|
| 554 | each half-line spans a (different) extreme ray */ |
---|
| 555 | bigintmat* rays = NULL; bigintmat* linSpace = NULL; |
---|
| 556 | if (u->Typ() == INTMAT_CMD) |
---|
| 557 | { |
---|
| 558 | intvec* rays0 = (intvec*) u->Data(); |
---|
| 559 | rays = iv2bim(rays0,coeffs_BIGINT); |
---|
| 560 | } |
---|
| 561 | else |
---|
| 562 | rays = (bigintmat*) u->Data(); |
---|
| 563 | if (v->Typ() == INTMAT_CMD) |
---|
| 564 | { |
---|
| 565 | intvec* linSpace0 = (intvec*) v->Data(); |
---|
| 566 | linSpace = iv2bim(linSpace0,coeffs_BIGINT); |
---|
| 567 | } |
---|
| 568 | else |
---|
| 569 | linSpace = (bigintmat*) v->Data(); |
---|
| 570 | |
---|
| 571 | if (rays->cols() != linSpace->cols()) |
---|
| 572 | { |
---|
| 573 | Werror("expected same number of columns but got %d vs. %d", |
---|
| 574 | rays->cols(), linSpace->cols()); |
---|
| 575 | return TRUE; |
---|
| 576 | } |
---|
| 577 | int k = (int)(long)w->Data(); |
---|
| 578 | if ((k < 0) || (k > 3)) |
---|
| 579 | { |
---|
| 580 | WerrorS("expected int argument in [0..3]"); |
---|
| 581 | return TRUE; |
---|
| 582 | } |
---|
| 583 | gfan::ZMatrix* zm1 = bigintmatToZMatrix(rays); |
---|
| 584 | gfan::ZMatrix* zm2 = bigintmatToZMatrix(linSpace); |
---|
| 585 | gfan::ZCone* zc = new gfan::ZCone(); |
---|
| 586 | *zc = gfan::ZCone::givenByRays(*zm1, *zm2); |
---|
| 587 | //k should be passed on to zc; not available yet |
---|
| 588 | res->rtyp = coneID; |
---|
| 589 | res->data = (void*) zc; |
---|
| 590 | |
---|
| 591 | delete zm1; |
---|
| 592 | delete zm2; |
---|
| 593 | if (u->Typ() == INTMAT_CMD) |
---|
| 594 | delete rays; |
---|
| 595 | if (v->Typ() == INTMAT_CMD) |
---|
| 596 | delete linSpace; |
---|
| 597 | return FALSE; |
---|
| 598 | } |
---|
| 599 | |
---|
| 600 | BOOLEAN coneViaRays(leftv res, leftv args) |
---|
| 601 | { |
---|
| 602 | leftv u = args; |
---|
| 603 | if ((u != NULL) && ((u->Typ() == BIGINTMAT_CMD) || (u->Typ() == INTMAT_CMD))) |
---|
| 604 | { |
---|
| 605 | if (u->next == NULL) return jjCONERAYS1(res, u); |
---|
| 606 | leftv v = u->next; |
---|
| 607 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTMAT_CMD))) |
---|
| 608 | { |
---|
| 609 | if (v->next == NULL) return jjCONERAYS2(res, u, v); |
---|
| 610 | leftv w = v->next; |
---|
| 611 | if ((w != NULL) && (w->Typ() == INT_CMD)) |
---|
| 612 | { |
---|
| 613 | if (w->next == NULL) return jjCONERAYS3(res, u, v, w); |
---|
| 614 | } |
---|
| 615 | } |
---|
| 616 | } |
---|
| 617 | WerrorS("coneViaPoints: unexpected parameters"); |
---|
| 618 | return TRUE; |
---|
| 619 | } |
---|
| 620 | |
---|
| 621 | BOOLEAN inequalities(leftv res, leftv args) |
---|
| 622 | { |
---|
| 623 | leftv u = args; |
---|
| 624 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 625 | { |
---|
| 626 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 627 | |
---|
| 628 | gfan::ZMatrix zmat = zc->getInequalities(); |
---|
| 629 | res->rtyp = BIGINTMAT_CMD; |
---|
| 630 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
| 631 | return FALSE; |
---|
| 632 | } |
---|
| 633 | WerrorS("inequalities: unexpected parameters"); |
---|
| 634 | return TRUE; |
---|
| 635 | } |
---|
| 636 | |
---|
| 637 | BOOLEAN equations(leftv res, leftv args) |
---|
| 638 | { |
---|
| 639 | leftv u = args; |
---|
| 640 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 641 | { |
---|
| 642 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 643 | gfan::ZMatrix zmat = zc->getEquations(); |
---|
| 644 | res->rtyp = BIGINTMAT_CMD; |
---|
| 645 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
| 646 | return FALSE; |
---|
| 647 | } |
---|
| 648 | WerrorS("equations: unexpected parameters"); |
---|
| 649 | return TRUE; |
---|
| 650 | } |
---|
| 651 | |
---|
| 652 | BOOLEAN facets(leftv res, leftv args) |
---|
| 653 | { |
---|
| 654 | leftv u = args; |
---|
| 655 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 656 | { |
---|
| 657 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 658 | gfan::ZMatrix zm = zc->getFacets(); |
---|
| 659 | res->rtyp = BIGINTMAT_CMD; |
---|
| 660 | res->data = (void*) zMatrixToBigintmat(zm); |
---|
| 661 | return FALSE; |
---|
| 662 | } |
---|
| 663 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
| 664 | { |
---|
| 665 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 666 | res->rtyp = BIGINTMAT_CMD; |
---|
| 667 | res->data = (void*) getFacetNormals(zc); |
---|
| 668 | return FALSE; |
---|
| 669 | } |
---|
| 670 | WerrorS("facets: unexpected parameters"); |
---|
| 671 | return TRUE; |
---|
| 672 | } |
---|
| 673 | |
---|
| 674 | BOOLEAN impliedEquations(leftv res, leftv args) |
---|
| 675 | { |
---|
| 676 | leftv u = args; |
---|
| 677 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 678 | { |
---|
| 679 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 680 | gfan::ZMatrix zmat = zc->getImpliedEquations(); |
---|
| 681 | res->rtyp = BIGINTMAT_CMD; |
---|
| 682 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
| 683 | return FALSE; |
---|
| 684 | } |
---|
| 685 | WerrorS("span: unexpected parameters"); |
---|
| 686 | return TRUE; |
---|
| 687 | } |
---|
| 688 | |
---|
| 689 | BOOLEAN generatorsOfSpan(leftv res, leftv args) |
---|
| 690 | { |
---|
| 691 | leftv u = args; |
---|
| 692 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 693 | { |
---|
| 694 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 695 | gfan::ZMatrix zmat = zc->generatorsOfSpan(); |
---|
| 696 | res->rtyp = BIGINTMAT_CMD; |
---|
| 697 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
| 698 | return FALSE; |
---|
| 699 | } |
---|
| 700 | WerrorS("generatorsOfSpan: unexpected parameters"); |
---|
| 701 | return TRUE; |
---|
| 702 | } |
---|
| 703 | |
---|
| 704 | BOOLEAN generatorsOfLinealitySpace(leftv res, leftv args) |
---|
| 705 | { |
---|
| 706 | leftv u = args; |
---|
| 707 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 708 | { |
---|
| 709 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 710 | gfan::ZMatrix zmat = zc->generatorsOfLinealitySpace(); |
---|
| 711 | res->rtyp = BIGINTMAT_CMD; |
---|
| 712 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
| 713 | return FALSE; |
---|
| 714 | } |
---|
| 715 | WerrorS("generatorsOfLinealitySpace: unexpected parameters"); |
---|
| 716 | return TRUE; |
---|
| 717 | } |
---|
| 718 | |
---|
| 719 | BOOLEAN rays(leftv res, leftv args) |
---|
| 720 | { |
---|
| 721 | leftv u = args; |
---|
| 722 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 723 | { |
---|
| 724 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 725 | gfan::ZMatrix zm = zc->extremeRays(); |
---|
| 726 | res->rtyp = BIGINTMAT_CMD; |
---|
| 727 | res->data = (void*)zMatrixToBigintmat(zm); |
---|
| 728 | return FALSE; |
---|
| 729 | } |
---|
| 730 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
| 731 | { |
---|
| 732 | gfan::ZFan* zf = (gfan::ZFan*)u->Data(); |
---|
| 733 | gfan::ZMatrix zmat = rays(zf); |
---|
| 734 | res->rtyp = BIGINTMAT_CMD; |
---|
| 735 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
| 736 | return FALSE; |
---|
| 737 | } |
---|
| 738 | WerrorS("rays: unexpected parameters"); |
---|
| 739 | return TRUE; |
---|
| 740 | } |
---|
| 741 | |
---|
| 742 | BOOLEAN quotientLatticeBasis(leftv res, leftv args) |
---|
| 743 | { |
---|
| 744 | leftv u = args; |
---|
| 745 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 746 | { |
---|
| 747 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 748 | gfan::ZMatrix zmat = zc->quotientLatticeBasis(); |
---|
| 749 | res->rtyp = BIGINTMAT_CMD; |
---|
| 750 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
| 751 | return FALSE; |
---|
| 752 | } |
---|
| 753 | WerrorS("quotientLatticeBasis: unexpected parameters"); |
---|
| 754 | return TRUE; |
---|
| 755 | } |
---|
| 756 | |
---|
| 757 | BOOLEAN getLinearForms(leftv res, leftv args) |
---|
| 758 | { |
---|
| 759 | leftv u = args; |
---|
| 760 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 761 | { |
---|
| 762 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 763 | gfan::ZMatrix zmat = zc->getLinearForms(); |
---|
| 764 | res->rtyp = BIGINTMAT_CMD; |
---|
| 765 | res->data = (void*) zMatrixToBigintmat(zmat); |
---|
| 766 | return FALSE; |
---|
| 767 | } |
---|
| 768 | WerrorS("getLinearForms: unexpected parameters"); |
---|
| 769 | return TRUE; |
---|
| 770 | } |
---|
| 771 | |
---|
| 772 | BOOLEAN ambientDimension(leftv res, leftv args) |
---|
| 773 | { |
---|
| 774 | leftv u=args; |
---|
| 775 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 776 | { |
---|
| 777 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 778 | res->rtyp = INT_CMD; |
---|
| 779 | res->data = (void*) (long) zc->ambientDimension(); |
---|
| 780 | return FALSE; |
---|
| 781 | } |
---|
| 782 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
| 783 | { |
---|
| 784 | gfan::ZFan* zf = (gfan::ZFan*)u->Data(); |
---|
| 785 | res->rtyp = INT_CMD; |
---|
| 786 | res->data = (void*) (long) getAmbientDimension(zf); |
---|
| 787 | return FALSE; |
---|
| 788 | } |
---|
| 789 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
| 790 | { |
---|
| 791 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 792 | res->rtyp = INT_CMD; |
---|
| 793 | res->data = (void*) (long) getAmbientDimension(zc); |
---|
| 794 | return FALSE; |
---|
| 795 | } |
---|
| 796 | WerrorS("ambientDimension: unexpected parameters"); |
---|
| 797 | return TRUE; |
---|
| 798 | } |
---|
| 799 | |
---|
| 800 | BOOLEAN dimension(leftv res, leftv args) |
---|
| 801 | { |
---|
| 802 | leftv u=args; |
---|
| 803 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 804 | { |
---|
| 805 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 806 | res->rtyp = INT_CMD; |
---|
| 807 | res->data = (void*) (long) zc->dimension(); |
---|
| 808 | return FALSE; |
---|
| 809 | } |
---|
| 810 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
| 811 | { |
---|
| 812 | gfan::ZFan* zf = (gfan::ZFan*)u->Data(); |
---|
| 813 | res->rtyp = INT_CMD; |
---|
| 814 | res->data = (void*) (long) getDimension(zf); |
---|
| 815 | return FALSE; |
---|
| 816 | } |
---|
| 817 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
| 818 | { |
---|
| 819 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 820 | res->rtyp = INT_CMD; |
---|
| 821 | res->data = (void*) (long) getDimension(zc); |
---|
| 822 | return FALSE; |
---|
| 823 | } |
---|
| 824 | WerrorS("dimension: unexpected parameters"); |
---|
| 825 | return TRUE; |
---|
| 826 | } |
---|
| 827 | |
---|
| 828 | BOOLEAN codimension(leftv res, leftv args) |
---|
| 829 | { |
---|
| 830 | leftv u=args; |
---|
| 831 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 832 | { |
---|
| 833 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 834 | res->rtyp = INT_CMD; |
---|
| 835 | res->data = (void*) (long) zc->codimension(); |
---|
| 836 | return FALSE; |
---|
| 837 | } |
---|
| 838 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
| 839 | { |
---|
| 840 | gfan::ZFan* zf = (gfan::ZFan*)u->Data(); |
---|
| 841 | res->rtyp = INT_CMD; |
---|
| 842 | res->data = (void*) (long) getCodimension(zf); |
---|
| 843 | return FALSE; |
---|
| 844 | } |
---|
| 845 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
| 846 | { |
---|
| 847 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 848 | res->rtyp = INT_CMD; |
---|
| 849 | res->data = (void*) (long) getCodimension(zc); |
---|
| 850 | return FALSE; |
---|
| 851 | } |
---|
| 852 | WerrorS("getCodimension: unexpected parameters"); |
---|
| 853 | return TRUE; |
---|
| 854 | } |
---|
| 855 | |
---|
| 856 | BOOLEAN linealityDimension(leftv res, leftv args) |
---|
| 857 | { |
---|
| 858 | leftv u=args; |
---|
| 859 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 860 | { |
---|
| 861 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 862 | res->rtyp = INT_CMD; |
---|
| 863 | res->data = (void*) (long) zc->dimensionOfLinealitySpace(); |
---|
| 864 | return FALSE; |
---|
| 865 | } |
---|
| 866 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
| 867 | { |
---|
| 868 | gfan::ZFan* zf = (gfan::ZFan*)u->Data(); |
---|
| 869 | res->rtyp = INT_CMD; |
---|
| 870 | res->data = (void*) (long) getLinealityDimension(zf); |
---|
| 871 | return FALSE; |
---|
| 872 | } |
---|
| 873 | WerrorS("linealityDimension: unexpected parameters"); |
---|
| 874 | return TRUE; |
---|
| 875 | } |
---|
| 876 | |
---|
| 877 | BOOLEAN getMultiplicity(leftv res, leftv args) |
---|
| 878 | { |
---|
| 879 | leftv u = args; |
---|
| 880 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 881 | { |
---|
| 882 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 883 | number i = integerToNumber(zc->getMultiplicity()); |
---|
| 884 | res->rtyp = BIGINT_CMD; |
---|
| 885 | res->data = (void*) i; |
---|
| 886 | return FALSE; |
---|
| 887 | } |
---|
| 888 | WerrorS("getMultiplicity: unexpected parameters"); |
---|
| 889 | return TRUE; |
---|
| 890 | } |
---|
| 891 | |
---|
| 892 | BOOLEAN isOrigin(leftv res, leftv args) |
---|
| 893 | { |
---|
| 894 | leftv u = args; |
---|
| 895 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 896 | { |
---|
| 897 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 898 | int i = zc->isOrigin(); |
---|
| 899 | res->rtyp = INT_CMD; |
---|
| 900 | res->data = (void*) (long) i; |
---|
| 901 | return FALSE; |
---|
| 902 | } |
---|
| 903 | WerrorS("isOrigin: unexpected parameters"); |
---|
| 904 | return TRUE; |
---|
| 905 | } |
---|
| 906 | |
---|
| 907 | BOOLEAN isFullSpace(leftv res, leftv args) |
---|
| 908 | { |
---|
| 909 | leftv u = args; |
---|
| 910 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 911 | { |
---|
| 912 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 913 | int i = zc->isFullSpace(); |
---|
| 914 | res->rtyp = INT_CMD; |
---|
| 915 | res->data = (void*) (long) i; |
---|
| 916 | return FALSE; |
---|
| 917 | } |
---|
| 918 | WerrorS("isFullSpace: unexpected parameters"); |
---|
| 919 | return TRUE; |
---|
| 920 | } |
---|
| 921 | |
---|
| 922 | BOOLEAN isSimplicial(leftv res, leftv args) |
---|
| 923 | { |
---|
| 924 | leftv u=args; |
---|
| 925 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 926 | { |
---|
| 927 | gfan::ZCone* zc = (gfan::ZCone*) u->Data(); |
---|
| 928 | int b = zc->isSimplicial(); |
---|
| 929 | res->rtyp = INT_CMD; |
---|
| 930 | res->data = (void*) (long) b; |
---|
| 931 | return FALSE; |
---|
| 932 | } |
---|
| 933 | if ((u != NULL) && (u->Typ() == fanID)) |
---|
| 934 | { |
---|
| 935 | gfan::ZFan* zf = (gfan::ZFan*) u->Data(); |
---|
| 936 | bool b = isSimplicial(zf); |
---|
| 937 | res->rtyp = INT_CMD; |
---|
| 938 | res->data = (void*) (long) b; |
---|
| 939 | return FALSE; |
---|
| 940 | } |
---|
| 941 | WerrorS("isSimplicial: unexpected parameters"); |
---|
| 942 | return TRUE; |
---|
| 943 | } |
---|
| 944 | |
---|
| 945 | BOOLEAN containsPositiveVector(leftv res, leftv args) |
---|
| 946 | { |
---|
| 947 | leftv u = args; |
---|
| 948 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 949 | { |
---|
| 950 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 951 | int i = zc->containsPositiveVector(); |
---|
| 952 | res->rtyp = INT_CMD; |
---|
| 953 | res->data = (void*) (long) i; |
---|
| 954 | return FALSE; |
---|
| 955 | } |
---|
| 956 | WerrorS("containsPositiveVector: unexpected parameters"); |
---|
| 957 | return TRUE; |
---|
| 958 | } |
---|
| 959 | |
---|
| 960 | BOOLEAN linealitySpace(leftv res, leftv args) |
---|
| 961 | { |
---|
| 962 | leftv u = args; |
---|
| 963 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 964 | { |
---|
| 965 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 966 | gfan::ZCone* zd = new gfan::ZCone(zc->linealitySpace()); |
---|
| 967 | res->rtyp = coneID; |
---|
| 968 | res->data = (void*) zd; |
---|
| 969 | return FALSE; |
---|
| 970 | } |
---|
| 971 | WerrorS("linealitySpace: unexpected parameters"); |
---|
| 972 | return TRUE; |
---|
| 973 | } |
---|
| 974 | |
---|
| 975 | BOOLEAN dualCone(leftv res, leftv args) |
---|
| 976 | { |
---|
| 977 | leftv u = args; |
---|
| 978 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 979 | { |
---|
| 980 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 981 | gfan::ZCone* zd = new gfan::ZCone(zc->dualCone()); |
---|
| 982 | res->rtyp = coneID; |
---|
| 983 | res->data = (void*) zd; |
---|
| 984 | return FALSE; |
---|
| 985 | } |
---|
| 986 | WerrorS("dual: unexpected parameters"); |
---|
| 987 | return TRUE; |
---|
| 988 | } |
---|
| 989 | |
---|
| 990 | BOOLEAN negatedCone(leftv res, leftv args) |
---|
| 991 | { |
---|
| 992 | leftv u = args; |
---|
| 993 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 994 | { |
---|
| 995 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 996 | gfan::ZCone* zd = new gfan::ZCone(zc->negated()); |
---|
| 997 | res->rtyp = coneID; |
---|
| 998 | res->data = (void*) zd; |
---|
| 999 | return FALSE; |
---|
| 1000 | } |
---|
| 1001 | WerrorS("negatedCone: unexpected parameters"); |
---|
| 1002 | return TRUE; |
---|
| 1003 | } |
---|
| 1004 | |
---|
| 1005 | BOOLEAN semigroupGenerator(leftv res, leftv args) |
---|
| 1006 | { |
---|
| 1007 | leftv u = args; |
---|
| 1008 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1009 | { |
---|
| 1010 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1011 | int d = zc->dimension(); |
---|
| 1012 | int dLS = zc->dimensionOfLinealitySpace(); |
---|
| 1013 | if (d == dLS + 1) |
---|
| 1014 | { |
---|
| 1015 | gfan::ZVector zv = zc->semiGroupGeneratorOfRay(); |
---|
| 1016 | res->rtyp = BIGINTMAT_CMD; |
---|
| 1017 | res->data = (void*) zVectorToBigintmat(zv); |
---|
| 1018 | return FALSE; |
---|
| 1019 | } |
---|
| 1020 | Werror("expected dim of cone one larger than dim of lin space\n" |
---|
| 1021 | "but got dimensions %d and %d", d, dLS); |
---|
| 1022 | } |
---|
| 1023 | WerrorS("semigroupGenerator: unexpected parameters"); |
---|
| 1024 | return TRUE; |
---|
| 1025 | } |
---|
| 1026 | |
---|
| 1027 | BOOLEAN relativeInteriorPoint(leftv res, leftv args) |
---|
| 1028 | { |
---|
| 1029 | leftv u = args; |
---|
| 1030 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1031 | { |
---|
| 1032 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1033 | gfan::ZVector zv = zc->getRelativeInteriorPoint(); |
---|
| 1034 | res->rtyp = BIGINTMAT_CMD; |
---|
| 1035 | res->data = (void*) zVectorToBigintmat(zv); |
---|
| 1036 | return FALSE; |
---|
| 1037 | } |
---|
| 1038 | WerrorS("relativeInteriorPoint: unexpected parameters"); |
---|
| 1039 | return TRUE; |
---|
| 1040 | } |
---|
| 1041 | |
---|
| 1042 | BOOLEAN uniquePoint(leftv res, leftv args) |
---|
| 1043 | { |
---|
| 1044 | leftv u = args; |
---|
| 1045 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1046 | { |
---|
| 1047 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1048 | gfan::ZVector zv = zc->getUniquePoint(); |
---|
| 1049 | res->rtyp = BIGINTMAT_CMD; |
---|
| 1050 | res->data = (void*) zVectorToBigintmat(zv); |
---|
| 1051 | return FALSE; |
---|
| 1052 | } |
---|
| 1053 | WerrorS("uniquePoint: unexpected parameters"); |
---|
| 1054 | return TRUE; |
---|
| 1055 | } |
---|
| 1056 | |
---|
| 1057 | gfan::ZVector randomPoint(const gfan::ZCone* zc) |
---|
| 1058 | { |
---|
| 1059 | gfan::ZMatrix rays = zc->extremeRays(); |
---|
| 1060 | gfan::ZVector rp = gfan::ZVector(zc->ambientDimension()); |
---|
| 1061 | for (int i=0; i<rays.getHeight(); i++) |
---|
| 1062 | { |
---|
| 1063 | int n = siRand(); |
---|
| 1064 | rp = rp + n * rays[i]; |
---|
| 1065 | } |
---|
| 1066 | return rp; |
---|
| 1067 | } |
---|
| 1068 | |
---|
| 1069 | BOOLEAN randomPoint(leftv res, leftv args) |
---|
| 1070 | { |
---|
| 1071 | leftv u = args; |
---|
| 1072 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1073 | { |
---|
| 1074 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1075 | gfan::ZVector zv = randomPoint(zc); |
---|
| 1076 | res->rtyp = BIGINTMAT_CMD; |
---|
| 1077 | res->data = (void*) zVectorToBigintmat(zv); |
---|
| 1078 | return FALSE; |
---|
| 1079 | } |
---|
| 1080 | WerrorS("randomPoint: unexpected parameters"); |
---|
| 1081 | return TRUE; |
---|
| 1082 | } |
---|
| 1083 | |
---|
| 1084 | BOOLEAN setMultiplicity(leftv res, leftv args) |
---|
| 1085 | { |
---|
| 1086 | leftv u = args; |
---|
| 1087 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1088 | { |
---|
| 1089 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1090 | leftv v = u->next; |
---|
| 1091 | if ((v != NULL) && (v->Typ() == INT_CMD)) |
---|
| 1092 | { |
---|
| 1093 | int val = (int)(long)v->Data(); |
---|
| 1094 | zc->setMultiplicity(gfan::Integer(val)); |
---|
| 1095 | res->rtyp = NONE; |
---|
| 1096 | res->data = NULL; |
---|
| 1097 | return FALSE; |
---|
| 1098 | } |
---|
| 1099 | } |
---|
| 1100 | WerrorS("setMultiplicity: unexpected parameters"); |
---|
| 1101 | return TRUE; |
---|
| 1102 | } |
---|
| 1103 | |
---|
| 1104 | BOOLEAN setLinearForms(leftv res, leftv args) |
---|
| 1105 | { |
---|
| 1106 | leftv u = args; |
---|
| 1107 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1108 | { |
---|
| 1109 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1110 | leftv v = u->next; |
---|
| 1111 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTVEC_CMD))) |
---|
| 1112 | { |
---|
| 1113 | bigintmat* mat=NULL; |
---|
| 1114 | if (v->Typ() == INTVEC_CMD) |
---|
| 1115 | { |
---|
| 1116 | intvec* mat0 = (intvec*) v->Data(); |
---|
| 1117 | mat = iv2bim(mat0,coeffs_BIGINT)->transpose(); |
---|
| 1118 | } |
---|
| 1119 | else |
---|
| 1120 | mat = (bigintmat*) v->Data(); |
---|
| 1121 | gfan::ZMatrix* zm = bigintmatToZMatrix(mat); |
---|
| 1122 | zc->setLinearForms(*zm); |
---|
| 1123 | res->rtyp = NONE; |
---|
| 1124 | res->data = NULL; |
---|
| 1125 | |
---|
| 1126 | delete zm; |
---|
| 1127 | if (v->Typ() == INTVEC_CMD) |
---|
| 1128 | delete mat; |
---|
| 1129 | return FALSE; |
---|
| 1130 | } |
---|
| 1131 | } |
---|
| 1132 | WerrorS("setLinearForms: unexpected parameters"); |
---|
| 1133 | return TRUE; |
---|
| 1134 | } |
---|
| 1135 | |
---|
| 1136 | gfan::ZMatrix liftUp(const gfan::ZMatrix &zm) |
---|
| 1137 | { |
---|
| 1138 | int r=zm.getHeight(); |
---|
| 1139 | int c=zm.getWidth(); |
---|
| 1140 | gfan::ZMatrix zn(r+1,c+1); |
---|
| 1141 | zn[1][1]=1; |
---|
| 1142 | for (int i=0; i<r; i++) |
---|
| 1143 | for (int j=0; j<c; j++) |
---|
| 1144 | zn[i+1][j+1]=zm[i][j]; |
---|
| 1145 | return zn; |
---|
| 1146 | } |
---|
| 1147 | |
---|
| 1148 | gfan::ZCone liftUp(const gfan::ZCone &zc) |
---|
| 1149 | { |
---|
| 1150 | gfan::ZMatrix ineq=zc.getInequalities(); |
---|
| 1151 | gfan::ZMatrix eq=zc.getEquations(); |
---|
| 1152 | gfan::ZCone zd(liftUp(ineq),liftUp(eq)); |
---|
| 1153 | return zd; |
---|
| 1154 | } |
---|
| 1155 | |
---|
| 1156 | BOOLEAN coneToPolytope(leftv res, leftv args) |
---|
| 1157 | { |
---|
| 1158 | leftv u = args; |
---|
| 1159 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1160 | { |
---|
| 1161 | gfan::ZCone* zc = (gfan::ZCone*) u->Data(); |
---|
| 1162 | gfan::ZMatrix ineq=zc->getInequalities(); |
---|
| 1163 | gfan::ZMatrix eq=zc->getEquations(); |
---|
| 1164 | gfan::ZCone* zd = new gfan::ZCone(liftUp(ineq),liftUp(eq)); |
---|
| 1165 | res->rtyp = polytopeID; |
---|
| 1166 | res->data = (void*) zd; |
---|
| 1167 | return FALSE; |
---|
| 1168 | } |
---|
| 1169 | WerrorS("makePolytope: unexpected parameters"); |
---|
| 1170 | return TRUE; |
---|
| 1171 | } |
---|
| 1172 | |
---|
| 1173 | BOOLEAN intersectCones(leftv res, leftv args) |
---|
| 1174 | { |
---|
| 1175 | leftv u = args; |
---|
| 1176 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1177 | { |
---|
| 1178 | leftv v = u->next; |
---|
| 1179 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
| 1180 | { |
---|
| 1181 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
| 1182 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
| 1183 | int d1 = zc1->ambientDimension(); |
---|
| 1184 | int d2 = zc2->ambientDimension(); |
---|
| 1185 | if (d1 != d2) |
---|
| 1186 | { |
---|
| 1187 | Werror("expected ambient dims of both cones to coincide\n" |
---|
| 1188 | "but got %d and %d", d1, d2); |
---|
| 1189 | return TRUE; |
---|
| 1190 | } |
---|
| 1191 | gfan::ZCone zc3 = gfan::intersection(*zc1, *zc2); |
---|
| 1192 | zc3.canonicalize(); |
---|
| 1193 | res->rtyp = coneID; |
---|
| 1194 | res->data = (void *)new gfan::ZCone(zc3); |
---|
| 1195 | return FALSE; |
---|
| 1196 | } |
---|
| 1197 | if ((v != NULL) && (v->Typ() == polytopeID)) |
---|
| 1198 | { |
---|
| 1199 | gfan::ZCone* zc11 = (gfan::ZCone*)u->Data(); |
---|
| 1200 | gfan::ZCone zc1 = liftUp(*zc11); |
---|
| 1201 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
| 1202 | int d1 = zc1.ambientDimension(); |
---|
| 1203 | int d2 = zc2->ambientDimension(); |
---|
| 1204 | if (d1 != d2) |
---|
| 1205 | { |
---|
| 1206 | Werror("expected ambient dims of both cones to coincide\n" |
---|
| 1207 | "but got %d and %d", d1, d2); |
---|
| 1208 | return TRUE; |
---|
| 1209 | } |
---|
| 1210 | gfan::ZCone zc3 = gfan::intersection(zc1, *zc2); |
---|
| 1211 | zc3.canonicalize(); |
---|
| 1212 | res->rtyp = polytopeID; |
---|
| 1213 | res->data = (void *)new gfan::ZCone(zc3); |
---|
| 1214 | return FALSE; |
---|
| 1215 | } |
---|
| 1216 | } |
---|
| 1217 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
| 1218 | { |
---|
| 1219 | leftv v = u->next; |
---|
| 1220 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
| 1221 | { |
---|
| 1222 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
| 1223 | gfan::ZCone* zc22 = (gfan::ZCone*)v->Data(); |
---|
| 1224 | gfan::ZCone zc2 = liftUp(*zc22); |
---|
| 1225 | int d1 = zc1->ambientDimension(); |
---|
| 1226 | int d2 = zc2.ambientDimension(); |
---|
| 1227 | if (d1 != d2) |
---|
| 1228 | { |
---|
| 1229 | Werror("expected ambient dims of both cones to coincide\n" |
---|
| 1230 | "but got %d and %d", d1, d2); |
---|
| 1231 | return TRUE; |
---|
| 1232 | } |
---|
| 1233 | gfan::ZCone zc3 = gfan::intersection(*zc1, zc2); |
---|
| 1234 | zc3.canonicalize(); |
---|
| 1235 | res->rtyp = polytopeID; |
---|
| 1236 | res->data = (void *)new gfan::ZCone(zc3); |
---|
| 1237 | return FALSE; |
---|
| 1238 | } |
---|
| 1239 | if ((v != NULL) && (v->Typ() == polytopeID)) |
---|
| 1240 | { |
---|
| 1241 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
| 1242 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
| 1243 | int d1 = zc1->ambientDimension(); |
---|
| 1244 | int d2 = zc2->ambientDimension(); |
---|
| 1245 | if (d1 != d2) |
---|
| 1246 | { |
---|
| 1247 | Werror("expected ambient dims of both cones to coincide\n" |
---|
| 1248 | "but got %d and %d", d1, d2); |
---|
| 1249 | return TRUE; |
---|
| 1250 | } |
---|
| 1251 | gfan::ZCone zc3 = gfan::intersection(*zc1, *zc2); |
---|
| 1252 | zc3.canonicalize(); |
---|
| 1253 | res->rtyp = polytopeID; |
---|
| 1254 | res->data = (void *)new gfan::ZCone(zc3); |
---|
| 1255 | return FALSE; |
---|
| 1256 | } |
---|
| 1257 | } |
---|
| 1258 | WerrorS("convexIntersection: unexpected parameters"); |
---|
| 1259 | return TRUE; |
---|
| 1260 | } |
---|
| 1261 | |
---|
| 1262 | BOOLEAN convexHull(leftv res, leftv args) |
---|
| 1263 | { |
---|
| 1264 | leftv u = args; |
---|
| 1265 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1266 | { |
---|
| 1267 | leftv v = u->next; |
---|
| 1268 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
| 1269 | { |
---|
| 1270 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
| 1271 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
| 1272 | int d1 = zc1->ambientDimension(); |
---|
| 1273 | int d2 = zc2->ambientDimension(); |
---|
| 1274 | if (d1 != d2) |
---|
| 1275 | { |
---|
| 1276 | Werror("expected ambient dims of both cones to coincide\n" |
---|
| 1277 | "but got %d and %d", d1, d2); |
---|
| 1278 | return TRUE; |
---|
| 1279 | } |
---|
| 1280 | gfan::ZMatrix zm1 = zc1->extremeRays(); |
---|
| 1281 | gfan::ZMatrix zm2 = zc2->extremeRays(); |
---|
| 1282 | gfan::ZMatrix zn1 = zc1->generatorsOfLinealitySpace(); |
---|
| 1283 | gfan::ZMatrix zn2 = zc2->generatorsOfLinealitySpace(); |
---|
| 1284 | gfan::ZMatrix zm = combineOnTop(zm1,zm2); |
---|
| 1285 | gfan::ZMatrix zn = combineOnTop(zn1,zn2); |
---|
| 1286 | gfan::ZCone* zc = new gfan::ZCone(); |
---|
| 1287 | *zc = gfan::ZCone::givenByRays(zm, zn); |
---|
| 1288 | res->rtyp = coneID; |
---|
| 1289 | res->data = (void*) zc; |
---|
| 1290 | return FALSE; |
---|
| 1291 | } |
---|
| 1292 | if ((v != NULL) && (v->Typ() == polytopeID)) |
---|
| 1293 | { |
---|
| 1294 | gfan::ZCone* zc11 = (gfan::ZCone*)u->Data(); |
---|
| 1295 | gfan::ZCone zc1 = liftUp(*zc11); |
---|
| 1296 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
| 1297 | int d1 = zc1.ambientDimension()-1; |
---|
| 1298 | int d2 = zc2->ambientDimension()-1; |
---|
| 1299 | if (d1 != d2) |
---|
| 1300 | { |
---|
| 1301 | Werror("expected ambient dims of both cones to coincide\n" |
---|
| 1302 | "but got %d and %d", d1, d2); |
---|
| 1303 | return TRUE; |
---|
| 1304 | } |
---|
| 1305 | gfan::ZMatrix zm1 = zc1.extremeRays(); |
---|
| 1306 | gfan::ZMatrix zm2 = zc2->extremeRays(); |
---|
| 1307 | gfan::ZMatrix zn = zc1.generatorsOfLinealitySpace(); |
---|
| 1308 | gfan::ZMatrix zm = combineOnTop(zm1,zm2); |
---|
| 1309 | gfan::ZCone* zc = new gfan::ZCone(); |
---|
| 1310 | *zc = gfan::ZCone::givenByRays(zm, zn); |
---|
| 1311 | res->rtyp = polytopeID; |
---|
| 1312 | res->data = (void*) zc; |
---|
| 1313 | return FALSE; |
---|
| 1314 | } |
---|
| 1315 | } |
---|
| 1316 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
| 1317 | { |
---|
| 1318 | leftv v = u->next; |
---|
| 1319 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
| 1320 | { |
---|
| 1321 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
| 1322 | gfan::ZCone* zc22 = (gfan::ZCone*)v->Data(); |
---|
| 1323 | gfan::ZCone zc2 = liftUp(*zc22); |
---|
| 1324 | int d1 = zc1->ambientDimension()-1; |
---|
| 1325 | int d2 = zc2.ambientDimension()-1; |
---|
| 1326 | if (d1 != d2) |
---|
| 1327 | { |
---|
| 1328 | Werror("expected ambient dims of both cones to coincide\n" |
---|
| 1329 | "but got %d and %d", d1, d2); |
---|
| 1330 | return TRUE; |
---|
| 1331 | } |
---|
| 1332 | gfan::ZMatrix zm1 = zc1->extremeRays(); |
---|
| 1333 | gfan::ZMatrix zm2 = zc2.extremeRays(); |
---|
| 1334 | gfan::ZMatrix zn = zc2.generatorsOfLinealitySpace(); |
---|
| 1335 | gfan::ZMatrix zm = combineOnTop(zm1,zm2); |
---|
| 1336 | gfan::ZCone* zc = new gfan::ZCone(); |
---|
| 1337 | *zc = gfan::ZCone::givenByRays(zm,gfan::ZMatrix(0, zm.getWidth())); |
---|
| 1338 | res->rtyp = polytopeID; |
---|
| 1339 | res->data = (void*) zc; |
---|
| 1340 | return FALSE; |
---|
| 1341 | } |
---|
| 1342 | if ((v != NULL) && (v->Typ() == polytopeID)) |
---|
| 1343 | { |
---|
| 1344 | gfan::ZCone* zc1 = (gfan::ZCone*)u->Data(); |
---|
| 1345 | gfan::ZCone* zc2 = (gfan::ZCone*)v->Data(); |
---|
| 1346 | int d1 = zc1->ambientDimension()-1; |
---|
| 1347 | int d2 = zc2->ambientDimension()-1; |
---|
| 1348 | if (d1 != d2) |
---|
| 1349 | { |
---|
| 1350 | Werror("expected ambient dims of both cones to coincide\n" |
---|
| 1351 | "but got %d and %d", d1, d2); |
---|
| 1352 | return TRUE; |
---|
| 1353 | } |
---|
| 1354 | gfan::ZMatrix zm1 = zc1->extremeRays(); |
---|
| 1355 | gfan::ZMatrix zm2 = zc2->extremeRays(); |
---|
| 1356 | gfan::ZMatrix zm = combineOnTop(zm1,zm2); |
---|
| 1357 | gfan::ZCone* zc = new gfan::ZCone(); |
---|
| 1358 | *zc = gfan::ZCone::givenByRays(zm,gfan::ZMatrix(0, zm.getWidth())); |
---|
| 1359 | res->rtyp = polytopeID; |
---|
| 1360 | res->data = (void*) zc; |
---|
| 1361 | return FALSE; |
---|
| 1362 | } |
---|
| 1363 | } |
---|
| 1364 | WerrorS("convexHull: unexpected parameters"); |
---|
| 1365 | return TRUE; |
---|
| 1366 | } |
---|
| 1367 | |
---|
| 1368 | BOOLEAN coneLink(leftv res, leftv args) |
---|
| 1369 | { |
---|
| 1370 | leftv u = args; |
---|
| 1371 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1372 | { |
---|
| 1373 | leftv v = u->next; |
---|
| 1374 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTVEC_CMD))) |
---|
| 1375 | { |
---|
| 1376 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1377 | bigintmat* iv = NULL; |
---|
| 1378 | if (v->Typ() == INTVEC_CMD) |
---|
| 1379 | { |
---|
| 1380 | intvec* iv0 = (intvec*) v->Data(); |
---|
| 1381 | iv = iv2bim(iv0,coeffs_BIGINT)->transpose(); |
---|
| 1382 | } |
---|
| 1383 | else |
---|
| 1384 | iv = (bigintmat*)v->Data(); |
---|
| 1385 | gfan::ZVector* zv = bigintmatToZVector(iv); |
---|
| 1386 | int d1 = zc->ambientDimension(); |
---|
| 1387 | int d2 = zv->size(); |
---|
| 1388 | if (d1 != d2) |
---|
| 1389 | { |
---|
| 1390 | Werror("expected ambient dim of cone and size of vector\n" |
---|
| 1391 | " to be equal but got %d and %d", d1, d2); |
---|
| 1392 | return TRUE; |
---|
| 1393 | } |
---|
| 1394 | if(!zc->contains(*zv)) |
---|
| 1395 | { |
---|
| 1396 | WerrorS("the provided intvec does not lie in the cone"); |
---|
| 1397 | return TRUE; |
---|
| 1398 | } |
---|
| 1399 | gfan::ZCone* zd = new gfan::ZCone(zc->link(*zv)); |
---|
| 1400 | res->rtyp = coneID; |
---|
| 1401 | res->data = (void *) zd; |
---|
| 1402 | |
---|
| 1403 | delete zv; |
---|
| 1404 | if (v->Typ() == INTMAT_CMD) |
---|
| 1405 | delete iv; |
---|
| 1406 | return FALSE; |
---|
| 1407 | } |
---|
| 1408 | } |
---|
| 1409 | WerrorS("coneLink: unexpected parameters"); |
---|
| 1410 | return TRUE; |
---|
| 1411 | } |
---|
| 1412 | |
---|
| 1413 | BOOLEAN containsInSupport(leftv res, leftv args) |
---|
| 1414 | { |
---|
| 1415 | leftv u=args; |
---|
| 1416 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1417 | { |
---|
| 1418 | leftv v=u->next; |
---|
| 1419 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
| 1420 | { |
---|
| 1421 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1422 | gfan::ZCone* zd = (gfan::ZCone*)v->Data(); |
---|
| 1423 | int d1 = zc->ambientDimension(); |
---|
| 1424 | int d2 = zd->ambientDimension(); |
---|
| 1425 | if (d1 != d2) |
---|
| 1426 | { |
---|
| 1427 | Werror("expected cones with same ambient dimensions\n but got" |
---|
| 1428 | " dimensions %d and %d", d1, d2); |
---|
| 1429 | return TRUE; |
---|
| 1430 | } |
---|
| 1431 | bool b = (zc->contains(*zd) ? 1 : 0); |
---|
| 1432 | res->rtyp = INT_CMD; |
---|
| 1433 | res->data = (void*) (long) b; |
---|
| 1434 | return FALSE; |
---|
| 1435 | } |
---|
| 1436 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTVEC_CMD))) |
---|
| 1437 | { |
---|
| 1438 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1439 | bigintmat* iv = NULL; |
---|
| 1440 | if (v->Typ() == INTVEC_CMD) |
---|
| 1441 | { |
---|
| 1442 | intvec* iv0 = (intvec*) v->Data(); |
---|
| 1443 | iv = iv2bim(iv0,coeffs_BIGINT)->transpose(); |
---|
| 1444 | } |
---|
| 1445 | else |
---|
| 1446 | iv = (bigintmat*)v->Data(); |
---|
| 1447 | |
---|
| 1448 | gfan::ZVector* zv = bigintmatToZVector(iv); |
---|
| 1449 | int d1 = zc->ambientDimension(); |
---|
| 1450 | int d2 = zv->size(); |
---|
| 1451 | if (d1 != d2) |
---|
| 1452 | { |
---|
| 1453 | Werror("expected cones with same ambient dimensions\n but got" |
---|
| 1454 | " dimensions %d and %d", d1, d2); |
---|
| 1455 | return TRUE; |
---|
| 1456 | } |
---|
| 1457 | int b = zc->contains(*zv); |
---|
| 1458 | res->rtyp = INT_CMD; |
---|
| 1459 | res->data = (void*) (long) b; |
---|
| 1460 | |
---|
| 1461 | delete zv; |
---|
| 1462 | if (v->Typ() == INTMAT_CMD) |
---|
| 1463 | delete iv; |
---|
| 1464 | return FALSE; |
---|
| 1465 | } |
---|
| 1466 | } |
---|
| 1467 | WerrorS("containsInSupport: unexpected parameters"); |
---|
| 1468 | return TRUE; |
---|
| 1469 | } |
---|
| 1470 | |
---|
| 1471 | BOOLEAN containsRelatively(leftv res, leftv args) |
---|
| 1472 | { |
---|
| 1473 | leftv u = args; |
---|
| 1474 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1475 | { |
---|
| 1476 | leftv v = u->next; |
---|
| 1477 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTVEC_CMD))) |
---|
| 1478 | { |
---|
| 1479 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1480 | bigintmat* iv = NULL; |
---|
| 1481 | if (v->Typ() == INTVEC_CMD) |
---|
| 1482 | { |
---|
| 1483 | intvec* iv0 = (intvec*) v->Data(); |
---|
| 1484 | iv = iv2bim(iv0,coeffs_BIGINT)->transpose(); |
---|
| 1485 | } |
---|
| 1486 | else |
---|
| 1487 | iv = (bigintmat*)v->Data(); |
---|
| 1488 | gfan::ZVector* zv = bigintmatToZVector(iv); |
---|
| 1489 | int d1 = zc->ambientDimension(); |
---|
| 1490 | int d2 = zv->size(); |
---|
| 1491 | if (d1 == d2) |
---|
| 1492 | { |
---|
| 1493 | bool b = (zc->containsRelatively(*zv) ? 1 : 0); |
---|
| 1494 | res->rtyp = INT_CMD; |
---|
| 1495 | res->data = (void *) b; |
---|
| 1496 | delete zv; |
---|
| 1497 | if (v->Typ() == INTMAT_CMD) |
---|
| 1498 | delete iv; |
---|
| 1499 | return FALSE; |
---|
| 1500 | } |
---|
| 1501 | delete zv; |
---|
| 1502 | if (v->Typ() == INTMAT_CMD) |
---|
| 1503 | delete iv; |
---|
| 1504 | Werror("expected ambient dim of cone and size of vector\n" |
---|
| 1505 | "to be equal but got %d and %d", d1, d2); |
---|
| 1506 | } |
---|
| 1507 | } |
---|
| 1508 | WerrorS("containsRelatively: unexpected parameters"); |
---|
| 1509 | return TRUE; |
---|
| 1510 | } |
---|
| 1511 | |
---|
| 1512 | BOOLEAN hasFace(leftv res, leftv args) |
---|
| 1513 | { |
---|
| 1514 | leftv u=args; |
---|
| 1515 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1516 | { |
---|
| 1517 | leftv v=u->next; |
---|
| 1518 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
| 1519 | { |
---|
| 1520 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1521 | gfan::ZCone* zd = (gfan::ZCone*)v->Data(); |
---|
| 1522 | bool b = zc->hasFace(*zd); |
---|
| 1523 | res->rtyp = INT_CMD; |
---|
| 1524 | res->data = (void*) (long) b; |
---|
| 1525 | return FALSE; |
---|
| 1526 | } |
---|
| 1527 | } |
---|
| 1528 | if ((u != NULL) && (u->Typ() == polytopeID)) |
---|
| 1529 | { |
---|
| 1530 | leftv v=u->next; |
---|
| 1531 | if ((v != NULL) && (v->Typ() == polytopeID)) |
---|
| 1532 | { |
---|
| 1533 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1534 | gfan::ZCone* zd = (gfan::ZCone*)v->Data(); |
---|
| 1535 | bool b = zc->hasFace(*zd); |
---|
| 1536 | res->rtyp = INT_CMD; |
---|
| 1537 | res->data = (void*) (long) b; |
---|
| 1538 | return FALSE; |
---|
| 1539 | } |
---|
| 1540 | } |
---|
| 1541 | WerrorS("containsAsFace: unexpected parameters"); |
---|
| 1542 | return TRUE; |
---|
| 1543 | } |
---|
| 1544 | |
---|
| 1545 | BOOLEAN canonicalizeCone(leftv res, leftv args) |
---|
| 1546 | { |
---|
| 1547 | leftv u=args; |
---|
| 1548 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1549 | { |
---|
| 1550 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
---|
| 1551 | gfan::ZCone* zd = new gfan::ZCone(*zc); |
---|
| 1552 | zd->canonicalize(); |
---|
| 1553 | res->rtyp = coneID; |
---|
| 1554 | res->data = (void*) zd; |
---|
| 1555 | return FALSE; |
---|
| 1556 | } |
---|
| 1557 | WerrorS("canonicalizeCone: unexpected parameters"); |
---|
| 1558 | return TRUE; |
---|
| 1559 | } |
---|
| 1560 | |
---|
| 1561 | BOOLEAN containsCone(leftv res, leftv args) |
---|
| 1562 | { |
---|
| 1563 | leftv u=args; |
---|
| 1564 | if ((u != NULL) && (u->Typ() == LIST_CMD)) |
---|
| 1565 | { |
---|
| 1566 | leftv v=u->next; |
---|
| 1567 | if ((v != NULL) && (v->Typ() == coneID)) |
---|
| 1568 | { |
---|
| 1569 | lists l = (lists) u->Data(); |
---|
| 1570 | gfan::ZCone* zc = (gfan::ZCone*) v->Data(); |
---|
| 1571 | zc->canonicalize(); |
---|
| 1572 | int b = 0; |
---|
| 1573 | for (int i=0; i<=lSize(l); i++) |
---|
| 1574 | { |
---|
| 1575 | if (l->m[i].Typ() != coneID) |
---|
| 1576 | { |
---|
| 1577 | WerrorS("containsCone: entries of wrong type in list"); |
---|
| 1578 | return TRUE; |
---|
| 1579 | } |
---|
| 1580 | gfan::ZCone* ll = (gfan::ZCone*) l->m[i].Data(); |
---|
| 1581 | ll->canonicalize(); |
---|
| 1582 | if (!((*ll) != (*zc))) |
---|
| 1583 | { |
---|
| 1584 | b = 1; |
---|
| 1585 | break; |
---|
| 1586 | } |
---|
| 1587 | } |
---|
| 1588 | res->rtyp = INT_CMD; |
---|
| 1589 | res->data = (char*) (long) b; |
---|
| 1590 | return FALSE; |
---|
| 1591 | } |
---|
| 1592 | } |
---|
| 1593 | WerrorS("containsCone: unexpected parameters"); |
---|
| 1594 | return TRUE; |
---|
| 1595 | } |
---|
| 1596 | |
---|
[e44b149] | 1597 | gfan::ZVector intStar2ZVector(const int d, const int* i) |
---|
| 1598 | { |
---|
| 1599 | gfan::ZVector zv(d); |
---|
| 1600 | for(int j=0; j<d; j++) |
---|
| 1601 | zv[j]=i[j+1]; |
---|
| 1602 | return zv; |
---|
| 1603 | } |
---|
| 1604 | |
---|
| 1605 | BOOLEAN maximalGroebnerCone(leftv res, leftv args) |
---|
| 1606 | { |
---|
| 1607 | leftv u = args; |
---|
| 1608 | if ((u != NULL) && (u->Typ() == IDEAL_CMD)) |
---|
| 1609 | { |
---|
| 1610 | leftv v = u->next; |
---|
| 1611 | if (v == NULL) |
---|
| 1612 | { |
---|
| 1613 | int n = currRing->N; |
---|
| 1614 | ideal I = (ideal) u->Data(); |
---|
| 1615 | poly g = NULL; |
---|
| 1616 | int* leadexpv = (int*) omAlloc((n+1)*sizeof(int)); |
---|
| 1617 | int* tailexpv = (int*) omAlloc((n+1)*sizeof(int)); |
---|
| 1618 | gfan::ZVector leadexpw = gfan::ZVector(n); |
---|
| 1619 | gfan::ZVector tailexpw = gfan::ZVector(n); |
---|
| 1620 | gfan::ZMatrix inequalities = gfan::ZMatrix(0,n); |
---|
| 1621 | for (int i=0; i<IDELEMS(I); i++) |
---|
| 1622 | { |
---|
| 1623 | g = (poly) I->m[i]; pGetExpV(g,leadexpv); |
---|
| 1624 | leadexpw = intStar2ZVector(n, leadexpv); |
---|
| 1625 | pIter(g); |
---|
| 1626 | while (g != NULL) |
---|
| 1627 | { |
---|
| 1628 | pGetExpV(g,tailexpv); |
---|
| 1629 | tailexpw = intStar2ZVector(n, tailexpv); |
---|
| 1630 | inequalities.appendRow(leadexpw-tailexpw); |
---|
| 1631 | pIter(g); |
---|
| 1632 | } |
---|
| 1633 | } |
---|
| 1634 | gfan::ZCone* gCone = new gfan::ZCone(inequalities,gfan::ZMatrix(0, inequalities.getWidth())); |
---|
| 1635 | omFreeSize(leadexpv,(n+1)*sizeof(int)); |
---|
| 1636 | omFreeSize(tailexpv,(n+1)*sizeof(int)); |
---|
| 1637 | |
---|
| 1638 | res->rtyp = coneID; |
---|
| 1639 | res->data = (void*) gCone; |
---|
| 1640 | return FALSE; |
---|
| 1641 | } |
---|
| 1642 | } |
---|
| 1643 | WerrorS("maximalGroebnerCone: unexpected parameters"); |
---|
| 1644 | return TRUE; |
---|
| 1645 | } |
---|
| 1646 | |
---|
| 1647 | |
---|
| 1648 | poly initial(poly p) |
---|
| 1649 | { |
---|
| 1650 | poly g = p; |
---|
| 1651 | poly h = p_Head(g,currRing); |
---|
| 1652 | poly f = h; |
---|
| 1653 | long d = p_Deg(g,currRing); |
---|
| 1654 | pIter(g); |
---|
| 1655 | while ((g != NULL) && (p_Deg(g,currRing) == d)) |
---|
| 1656 | { |
---|
| 1657 | pNext(h) = p_Head(g,currRing); |
---|
| 1658 | pIter(h); |
---|
| 1659 | pIter(g); |
---|
| 1660 | } |
---|
| 1661 | return(f); |
---|
| 1662 | } |
---|
| 1663 | |
---|
| 1664 | |
---|
| 1665 | BOOLEAN initial(leftv res, leftv args) |
---|
| 1666 | { |
---|
| 1667 | leftv u = args; |
---|
| 1668 | if ((u != NULL) && (u->Typ() == POLY_CMD)) |
---|
| 1669 | { |
---|
| 1670 | leftv v = u->next; |
---|
| 1671 | if (v == NULL) |
---|
| 1672 | { |
---|
| 1673 | poly p = (poly) u->Data(); |
---|
| 1674 | res->rtyp = POLY_CMD; |
---|
| 1675 | res->data = (void*) initial(p); |
---|
| 1676 | return FALSE; |
---|
| 1677 | } |
---|
| 1678 | } |
---|
| 1679 | if ((u != NULL) && (u->Typ() == IDEAL_CMD)) |
---|
| 1680 | { |
---|
| 1681 | leftv v = u->next; |
---|
| 1682 | if (v == NULL) |
---|
| 1683 | { |
---|
| 1684 | ideal I = (ideal) u->Data(); |
---|
| 1685 | ideal inI = idInit(IDELEMS(I)); |
---|
| 1686 | poly g; poly h; long d; |
---|
| 1687 | for (int i=0; i<IDELEMS(I); i++) |
---|
| 1688 | { |
---|
| 1689 | g = (poly) I->m[i]; |
---|
| 1690 | inI->m[i]=initial(g); |
---|
| 1691 | } |
---|
| 1692 | res->rtyp = IDEAL_CMD; |
---|
| 1693 | res->data = (void*) inI; |
---|
| 1694 | return FALSE; |
---|
| 1695 | } |
---|
| 1696 | } |
---|
| 1697 | WerrorS("initial: unexpected parameters"); |
---|
| 1698 | return TRUE; |
---|
| 1699 | } |
---|
| 1700 | |
---|
| 1701 | |
---|
| 1702 | BOOLEAN homogeneitySpace(leftv res, leftv args) |
---|
| 1703 | { |
---|
| 1704 | leftv u = args; |
---|
| 1705 | if ((u != NULL) && (u->Typ() == IDEAL_CMD)) |
---|
| 1706 | { |
---|
| 1707 | leftv v = u->next; |
---|
| 1708 | if (v == NULL) |
---|
| 1709 | { |
---|
| 1710 | int n = currRing->N; |
---|
| 1711 | ideal I = (ideal) u->Data(); |
---|
| 1712 | poly g; |
---|
| 1713 | int* leadexpv = (int*) omAlloc((n+1)*sizeof(int)); |
---|
| 1714 | int* tailexpv = (int*) omAlloc((n+1)*sizeof(int)); |
---|
| 1715 | gfan::ZVector leadexpw = gfan::ZVector(n); |
---|
| 1716 | gfan::ZVector tailexpw = gfan::ZVector(n); |
---|
| 1717 | gfan::ZMatrix equations = gfan::ZMatrix(0,n); |
---|
| 1718 | for (int i=0; i<IDELEMS(I); i++) |
---|
| 1719 | { |
---|
| 1720 | g = (poly) I->m[i]; pGetExpV(g,leadexpv); |
---|
| 1721 | leadexpw = intStar2ZVector(n, leadexpv); |
---|
| 1722 | pIter(g); |
---|
| 1723 | while (g != NULL) |
---|
| 1724 | { |
---|
| 1725 | pGetExpV(g,tailexpv); |
---|
| 1726 | tailexpw = intStar2ZVector(n, tailexpv); |
---|
| 1727 | equations.appendRow(leadexpw-tailexpw); |
---|
| 1728 | pIter(g); |
---|
| 1729 | } |
---|
| 1730 | } |
---|
| 1731 | gfan::ZCone* gCone = new gfan::ZCone(gfan::ZMatrix(0, equations.getWidth()),equations); |
---|
| 1732 | omFreeSize(leadexpv,(n+1)*sizeof(int)); |
---|
| 1733 | omFreeSize(tailexpv,(n+1)*sizeof(int)); |
---|
| 1734 | |
---|
| 1735 | res->rtyp = coneID; |
---|
| 1736 | res->data = (void*) gCone; |
---|
| 1737 | return FALSE; |
---|
| 1738 | } |
---|
| 1739 | } |
---|
| 1740 | WerrorS("homogeneitySpace: unexpected parameters"); |
---|
| 1741 | return TRUE; |
---|
| 1742 | } |
---|
| 1743 | |
---|
| 1744 | |
---|
| 1745 | BOOLEAN groebnerCone(leftv res, leftv args) |
---|
| 1746 | { |
---|
| 1747 | leftv u = args; |
---|
| 1748 | if ((u != NULL) && (u->Typ() == IDEAL_CMD)) |
---|
| 1749 | { |
---|
| 1750 | leftv v = u->next; |
---|
| 1751 | if (v == NULL) |
---|
| 1752 | { |
---|
| 1753 | int n = currRing->N; |
---|
| 1754 | ideal I = (ideal) u->Data(); |
---|
| 1755 | poly g = NULL; |
---|
| 1756 | int* leadexpv = (int*) omAlloc((n+1)*sizeof(int)); |
---|
| 1757 | int* tailexpv = (int*) omAlloc((n+1)*sizeof(int)); |
---|
| 1758 | gfan::ZVector leadexpw = gfan::ZVector(n); |
---|
| 1759 | gfan::ZVector tailexpw = gfan::ZVector(n); |
---|
| 1760 | gfan::ZMatrix inequalities = gfan::ZMatrix(0,n); |
---|
| 1761 | gfan::ZMatrix equations = gfan::ZMatrix(0,n); |
---|
| 1762 | long d; |
---|
| 1763 | for (int i=0; i<IDELEMS(I); i++) |
---|
| 1764 | { |
---|
| 1765 | g = (poly) I->m[i]; pGetExpV(g,leadexpv); |
---|
| 1766 | leadexpw = intStar2ZVector(n, leadexpv); |
---|
| 1767 | pIter(g); |
---|
| 1768 | d = p_Deg(g,currRing); |
---|
| 1769 | while ((g != NULL) && (p_Deg(g,currRing) == d)) |
---|
| 1770 | { |
---|
| 1771 | pGetExpV(g,tailexpv); |
---|
| 1772 | tailexpw = intStar2ZVector(n, tailexpv); |
---|
| 1773 | equations.appendRow(leadexpw-tailexpw); |
---|
| 1774 | pIter(g); |
---|
| 1775 | } |
---|
| 1776 | |
---|
| 1777 | if (g != NULL) |
---|
| 1778 | { |
---|
| 1779 | while (g != NULL) |
---|
| 1780 | { |
---|
| 1781 | pGetExpV(g,tailexpv); |
---|
| 1782 | tailexpw = intStar2ZVector(n, tailexpv); |
---|
| 1783 | inequalities.appendRow(leadexpw-tailexpw); |
---|
| 1784 | pIter(g); |
---|
| 1785 | } |
---|
| 1786 | } |
---|
| 1787 | } |
---|
| 1788 | gfan::ZCone* gCone = new gfan::ZCone(inequalities,equations); |
---|
| 1789 | omFreeSize(leadexpv,(n+1)*sizeof(int)); |
---|
| 1790 | omFreeSize(tailexpv,(n+1)*sizeof(int)); |
---|
| 1791 | |
---|
| 1792 | res->rtyp = coneID; |
---|
| 1793 | res->data = (void*) gCone; |
---|
| 1794 | return FALSE; |
---|
| 1795 | } |
---|
| 1796 | } |
---|
| 1797 | WerrorS("groebnerCone: unexpected parameters"); |
---|
| 1798 | return TRUE; |
---|
| 1799 | } |
---|
| 1800 | |
---|
| 1801 | /*** |
---|
| 1802 | * Given a cone and a point in its boundary, |
---|
| 1803 | * returns the inner normal vector of a facet |
---|
| 1804 | * containing the point. |
---|
| 1805 | * In case no facet contains the point, |
---|
| 1806 | * then 0 is returned. |
---|
| 1807 | **/ |
---|
| 1808 | gfan::ZVector* facetContaining(gfan::ZCone* zc, gfan::ZVector* zv) |
---|
| 1809 | { |
---|
| 1810 | gfan::ZMatrix facets = zc->getFacets(); |
---|
| 1811 | for (int i=0; i<facets.getHeight(); i++) |
---|
| 1812 | { |
---|
| 1813 | gfan::ZVector facet = facets[i]; |
---|
| 1814 | if (dot(facet,*zv) == (long) 0) |
---|
| 1815 | return new gfan::ZVector(facet); |
---|
| 1816 | } |
---|
| 1817 | return new gfan::ZVector(zc->ambientDimension()); |
---|
| 1818 | } |
---|
| 1819 | |
---|
| 1820 | |
---|
| 1821 | BOOLEAN facetContaining(leftv res, leftv args) |
---|
| 1822 | { |
---|
| 1823 | leftv u = args; |
---|
| 1824 | if ((u != NULL) && (u->Typ() == coneID)) |
---|
| 1825 | { |
---|
| 1826 | leftv v = u->next; |
---|
| 1827 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTVEC_CMD))) |
---|
| 1828 | { |
---|
| 1829 | gfan::ZCone* zc = (gfan::ZCone*) u->Data(); |
---|
| 1830 | |
---|
| 1831 | bigintmat* point1; |
---|
| 1832 | if (v->Typ() == INTVEC_CMD) |
---|
| 1833 | { |
---|
| 1834 | intvec* point0 = (intvec*) v->Data(); |
---|
| 1835 | point1 = iv2bim(point0,coeffs_BIGINT)->transpose(); |
---|
| 1836 | } |
---|
| 1837 | else |
---|
| 1838 | point1 = (bigintmat*) v->Data(); |
---|
| 1839 | |
---|
| 1840 | gfan::ZVector* point = bigintmatToZVector(*point1); |
---|
| 1841 | gfan::ZVector* facet = facetContaining(zc, point); |
---|
| 1842 | |
---|
| 1843 | res->rtyp = BIGINTMAT_CMD; |
---|
| 1844 | res->data = (void*) zVectorToBigintmat(*facet); |
---|
| 1845 | |
---|
| 1846 | delete facet; |
---|
| 1847 | delete point; |
---|
| 1848 | if (v->Typ() == INTVEC_CMD) |
---|
| 1849 | delete point1; |
---|
| 1850 | return FALSE; |
---|
| 1851 | } |
---|
| 1852 | } |
---|
| 1853 | WerrorS("facetContaining: unexpected parameters"); |
---|
| 1854 | return TRUE; |
---|
| 1855 | } |
---|
| 1856 | |
---|
| 1857 | |
---|
[58b407] | 1858 | void bbcone_setup(SModulFunctions* p) |
---|
[81384b] | 1859 | { |
---|
| 1860 | blackbox *b=(blackbox*)omAlloc0(sizeof(blackbox)); |
---|
| 1861 | // all undefined entries will be set to default in setBlackboxStuff |
---|
| 1862 | // the default Print is quite usefull, |
---|
| 1863 | // all other are simply error messages |
---|
| 1864 | b->blackbox_destroy=bbcone_destroy; |
---|
| 1865 | b->blackbox_String=bbcone_String; |
---|
| 1866 | // b->blackbox_Print=blackbox_default_Print; |
---|
| 1867 | b->blackbox_Init=bbcone_Init; |
---|
| 1868 | b->blackbox_Copy=bbcone_Copy; |
---|
| 1869 | b->blackbox_Assign=bbcone_Assign; |
---|
| 1870 | b->blackbox_Op2=bbcone_Op2; |
---|
[58b407] | 1871 | p->iiAddCproc("","coneViaInequalities",FALSE,coneViaNormals); |
---|
| 1872 | p->iiAddCproc("","coneViaPoints",FALSE,coneViaRays); |
---|
[81384b] | 1873 | |
---|
| 1874 | // iiAddCproc("","makePolytope",FALSE,coneToPolytope); |
---|
[58b407] | 1875 | p->iiAddCproc("","ambientDimension",FALSE,ambientDimension); |
---|
| 1876 | p->iiAddCproc("","canonicalizeCone",FALSE,canonicalizeCone); |
---|
| 1877 | p->iiAddCproc("","codimension",FALSE,codimension); |
---|
| 1878 | p->iiAddCproc("","coneLink",FALSE,coneLink); |
---|
| 1879 | p->iiAddCproc("","containsAsFace",FALSE,hasFace); |
---|
| 1880 | p->iiAddCproc("","containsInSupport",FALSE,containsInSupport); |
---|
| 1881 | p->iiAddCproc("","containsPositiveVector",FALSE,containsPositiveVector); |
---|
| 1882 | p->iiAddCproc("","containsRelatively",FALSE,containsRelatively); |
---|
| 1883 | p->iiAddCproc("","convexHull",FALSE,convexHull); |
---|
| 1884 | p->iiAddCproc("","convexIntersection",FALSE,intersectCones); |
---|
| 1885 | p->iiAddCproc("","dimension",FALSE,dimension); |
---|
| 1886 | p->iiAddCproc("","dualCone",FALSE,dualCone); |
---|
| 1887 | p->iiAddCproc("","equations",FALSE,equations); |
---|
| 1888 | p->iiAddCproc("","facets",FALSE,facets); |
---|
| 1889 | p->iiAddCproc("","generatorsOfLinealitySpace",FALSE,generatorsOfLinealitySpace); |
---|
| 1890 | p->iiAddCproc("","generatorsOfSpan",FALSE,generatorsOfSpan); |
---|
| 1891 | p->iiAddCproc("","getLinearForms",FALSE,getLinearForms); |
---|
| 1892 | p->iiAddCproc("","getMultiplicity",FALSE,getMultiplicity); |
---|
| 1893 | p->iiAddCproc("","inequalities",FALSE,inequalities); |
---|
| 1894 | p->iiAddCproc("","isFullSpace",FALSE,isFullSpace); |
---|
| 1895 | p->iiAddCproc("","isOrigin",FALSE,isOrigin); |
---|
| 1896 | p->iiAddCproc("","isSimplicial",FALSE,isSimplicial); |
---|
| 1897 | p->iiAddCproc("","linealityDimension",FALSE,linealityDimension); |
---|
| 1898 | p->iiAddCproc("","linealitySpace",FALSE,linealitySpace); |
---|
| 1899 | p->iiAddCproc("","negatedCone",FALSE,negatedCone); |
---|
| 1900 | p->iiAddCproc("","quotientLatticeBasis",FALSE,quotientLatticeBasis); |
---|
| 1901 | p->iiAddCproc("","randomPoint",FALSE,randomPoint); |
---|
| 1902 | p->iiAddCproc("","rays",FALSE,rays); |
---|
| 1903 | p->iiAddCproc("","relativeInteriorPoint",FALSE,relativeInteriorPoint); |
---|
| 1904 | p->iiAddCproc("","semigroupGenerator",FALSE,semigroupGenerator); |
---|
| 1905 | p->iiAddCproc("","setLinearForms",FALSE,setLinearForms); |
---|
| 1906 | p->iiAddCproc("","setMultiplicity",FALSE,setMultiplicity); |
---|
| 1907 | p->iiAddCproc("","span",FALSE,impliedEquations); |
---|
| 1908 | p->iiAddCproc("","uniquePoint",FALSE,uniquePoint); |
---|
| 1909 | p->iiAddCproc("","listContainsCone",FALSE,containsCone); |
---|
[e44b149] | 1910 | p->iiAddCproc("","maximalGroebnerCone",FALSE,maximalGroebnerCone); |
---|
| 1911 | p->iiAddCproc("","groebnerCone",FALSE,groebnerCone); |
---|
| 1912 | p->iiAddCproc("","initial",FALSE,initial); |
---|
| 1913 | p->iiAddCproc("","homogeneitySpace",FALSE,homogeneitySpace); |
---|
| 1914 | p->iiAddCproc("","facetContaining",FALSE,facetContaining); |
---|
[81384b] | 1915 | coneID=setBlackboxStuff(b,"cone"); |
---|
| 1916 | } |
---|