[81384b] | 1 | #include <kernel/mod2.h> |
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| 2 | #ifdef HAVE_FANS |
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| 3 | |
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| 4 | #include <gfanlib/gfanlib.h> |
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| 5 | #include <gfanlib/gfanlib_q.h> |
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| 6 | |
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| 7 | #include <Singular/ipid.h> |
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| 8 | #include <Singular/ipshell.h> |
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| 9 | #include <Singular/blackbox.h> |
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| 10 | #include <libpolys/misc/intvec.h> |
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| 11 | #include <libpolys/coeffs/longrat.h> |
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| 12 | #include <libpolys/coeffs/bigintmat.h> |
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| 13 | |
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| 14 | #include <bbcone.h> |
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| 15 | #include <sstream> |
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| 16 | |
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| 17 | // #include <omalloc/omalloc.h> |
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| 18 | // #include <kernel/febase.h> |
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| 19 | // #include <kernel/longrat.h> |
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| 20 | // #include <Singular/subexpr.h> |
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| 21 | // #include <gfanlib/gfanlib.h> |
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| 22 | // #include <kernel/ring.h> |
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| 23 | // #include <kernel/polys.h> |
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| 24 | |
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| 25 | int polytopeID; |
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| 26 | |
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| 27 | std::string bbpolytopeToString(gfan::ZCone const &c) |
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| 28 | { |
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| 29 | std::stringstream s; |
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| 30 | gfan::ZMatrix i=c.getInequalities(); |
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| 31 | gfan::ZMatrix e=c.getEquations(); |
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| 32 | s<<"AMBIENT_DIM"<<std::endl; |
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| 33 | s<<c.ambientDimension()-1<<std::endl; |
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| 34 | s<<"INEQUALITIES"<<std::endl; |
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| 35 | s<<toString(i)<<std::endl; |
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| 36 | s<<"EQUATIONS"<<std::endl; |
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| 37 | s<<toString(e)<<std::endl; |
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| 38 | return s.str(); |
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| 39 | } |
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| 40 | |
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| 41 | void *bbpolytope_Init(blackbox *b) |
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| 42 | { |
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| 43 | return (void*)(new gfan::ZCone()); |
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| 44 | } |
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| 45 | |
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| 46 | BOOLEAN bbpolytope_Assign(leftv l, leftv r) |
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| 47 | { |
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| 48 | gfan::ZCone* newZc; |
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| 49 | if (r==NULL) |
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| 50 | { |
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| 51 | if (l->Data()!=NULL) |
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| 52 | { |
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| 53 | gfan::ZCone* zd = (gfan::ZCone*)l->Data(); |
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| 54 | delete zd; |
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| 55 | } |
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| 56 | newZc = new gfan::ZCone(); |
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| 57 | } |
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| 58 | else if (r->Typ()==l->Typ()) |
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| 59 | { |
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| 60 | if (l->Data()!=NULL) |
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| 61 | { |
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| 62 | gfan::ZCone* zd = (gfan::ZCone*)l->Data(); |
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| 63 | delete zd; |
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| 64 | } |
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| 65 | gfan::ZCone* zc = (gfan::ZCone*)r->Data(); |
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| 66 | newZc = new gfan::ZCone(*zc); |
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| 67 | } |
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| 68 | // else if (r->Typ()==INT_CMD) TODO:r->Typ()==BIGINTMAT_CMD |
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| 69 | // { |
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| 70 | // int ambientDim = (int)(long)r->Data(); |
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| 71 | // if (ambientDim < 0) |
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| 72 | // { |
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| 73 | // Werror("expected an int >= 0, but got %d", ambientDim); |
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| 74 | // return TRUE; |
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| 75 | // } |
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| 76 | // if (l->Data()!=NULL) |
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| 77 | // { |
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| 78 | // gfan::ZCone* zd = (gfan::ZCone*)l->Data(); |
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| 79 | // delete zd; |
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| 80 | // } |
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| 81 | // newZc = new gfan::ZCone(ambientDim); |
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| 82 | // } |
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| 83 | else |
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| 84 | { |
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| 85 | Werror("assign Type(%d) = Type(%d) not implemented",l->Typ(),r->Typ()); |
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| 86 | return TRUE; |
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| 87 | } |
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| 88 | |
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| 89 | if (l->rtyp==IDHDL) |
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| 90 | { |
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| 91 | IDDATA((idhdl)l->data) = (char*) newZc; |
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| 92 | } |
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| 93 | else |
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| 94 | { |
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| 95 | l->data=(void *)newZc; |
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| 96 | } |
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| 97 | return FALSE; |
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| 98 | } |
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| 99 | |
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| 100 | char* bbpolytope_String(blackbox *b, void *d) |
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| 101 | { if (d==NULL) return omStrDup("invalid object"); |
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| 102 | else |
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| 103 | { |
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| 104 | gfan::ZCone* zc = (gfan::ZCone*)d; |
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| 105 | std::string s=bbpolytopeToString(*zc); |
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| 106 | return omStrDup(s.c_str()); |
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| 107 | } |
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| 108 | } |
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| 109 | |
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| 110 | void bbpolytope_destroy(blackbox *b, void *d) |
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| 111 | { |
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| 112 | if (d!=NULL) |
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| 113 | { |
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| 114 | gfan::ZCone* zc = (gfan::ZCone*) d; |
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| 115 | delete zc; |
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| 116 | } |
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| 117 | } |
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| 118 | |
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| 119 | void* bbpolytope_Copy(blackbox*b, void *d) |
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| 120 | { |
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| 121 | gfan::ZCone* zc = (gfan::ZCone*)d; |
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| 122 | gfan::ZCone* newZc = new gfan::ZCone(*zc); |
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| 123 | return newZc; |
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| 124 | } |
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| 125 | |
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| 126 | static BOOLEAN ppCONERAYS1(leftv res, leftv v) |
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| 127 | { |
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| 128 | /* method for generating a cone object from half-lines |
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| 129 | (cone = convex hull of the half-lines; note: there may be |
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| 130 | entire lines in the cone); |
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| 131 | valid parametrizations: (bigintmat) */ |
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| 132 | bigintmat* rays = NULL; |
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| 133 | if (v->Typ() == INTMAT_CMD) |
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| 134 | { |
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| 135 | intvec* rays0 = (intvec*) v->Data(); |
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| 136 | rays = iv2bim(rays0,coeffs_BIGINT); |
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| 137 | } |
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| 138 | else |
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| 139 | rays = (bigintmat*) v->Data(); |
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| 140 | |
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| 141 | gfan::ZMatrix* zm = bigintmatToZMatrix(rays); |
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| 142 | gfan::ZCone* zc = new gfan::ZCone(); |
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| 143 | *zc = gfan::ZCone::givenByRays(*zm, gfan::ZMatrix(0, zm->getWidth())); |
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| 144 | res->rtyp = polytopeID; |
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| 145 | res->data = (void*) zc; |
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| 146 | |
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| 147 | delete zm; |
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| 148 | if (v->Typ() == INTMAT_CMD) |
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| 149 | delete rays; |
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| 150 | return FALSE; |
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| 151 | } |
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| 152 | |
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| 153 | static BOOLEAN ppCONERAYS3(leftv res, leftv u, leftv v) |
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| 154 | { |
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| 155 | /* method for generating a cone object from half-lines |
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| 156 | (any point in the cone being the sum of a point |
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| 157 | in the convex hull of the half-lines and a point in the span |
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| 158 | of the lines), and an integer k; |
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| 159 | valid parametrizations: (bigintmat, int); |
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| 160 | Errors will be invoked in the following cases: |
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| 161 | - k not 0 or 1; |
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| 162 | if the k=1, then the extreme rays are known: |
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| 163 | each half-line spans a (different) extreme ray */ |
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| 164 | bigintmat* rays = NULL; |
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| 165 | if (u->Typ() == INTMAT_CMD) |
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| 166 | { |
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| 167 | intvec* rays0 = (intvec*) u->Data(); |
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| 168 | rays = iv2bim(rays0,coeffs_BIGINT); |
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| 169 | } |
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| 170 | else |
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| 171 | rays = (bigintmat*) u->Data(); |
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| 172 | int k = (int)(long)v->Data(); |
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| 173 | |
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| 174 | if ((k < 0) || (k > 1)) |
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| 175 | { |
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| 176 | WerrorS("expected int argument in [0..1]"); |
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| 177 | return TRUE; |
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| 178 | } |
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| 179 | k=k*2; |
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| 180 | gfan::ZMatrix* zm = bigintmatToZMatrix(rays); |
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| 181 | gfan::ZCone* zc = new gfan::ZCone(); |
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| 182 | *zc = gfan::ZCone::givenByRays(*zm,gfan::ZMatrix(0, zm->getWidth())); |
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| 183 | //k should be passed on to zc; not available yet |
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| 184 | res->rtyp = polytopeID; |
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| 185 | res->data = (void*) zc; |
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| 186 | |
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| 187 | delete zm; |
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| 188 | if (v->Typ() == INTMAT_CMD) |
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| 189 | delete rays; |
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| 190 | return FALSE; |
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| 191 | } |
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| 192 | |
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| 193 | BOOLEAN polytopeViaVertices(leftv res, leftv args) |
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| 194 | { |
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| 195 | leftv u = args; |
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| 196 | if ((u != NULL) && ((u->Typ() == BIGINTMAT_CMD) || (u->Typ() == INTMAT_CMD))) |
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| 197 | { |
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| 198 | if (u->next == NULL) return ppCONERAYS1(res, u); |
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| 199 | leftv v = u->next; |
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| 200 | if ((v != NULL) && (v->Typ() == INT_CMD)) |
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| 201 | { |
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| 202 | if (v->next == NULL) return ppCONERAYS3(res, u, v); |
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| 203 | } |
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| 204 | } |
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| 205 | WerrorS("polytopeViaPoints: unexpected parameters"); |
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| 206 | return TRUE; |
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| 207 | } |
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| 208 | |
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| 209 | static BOOLEAN ppCONENORMALS1(leftv res, leftv v) |
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| 210 | { |
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| 211 | /* method for generating a cone object from inequalities; |
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| 212 | valid parametrizations: (bigintmat) */ |
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| 213 | bigintmat* ineq = NULL; |
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| 214 | if (v->Typ() == INTMAT_CMD) |
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| 215 | { |
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| 216 | intvec* ineq0 = (intvec*) v->Data(); |
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| 217 | ineq = iv2bim(ineq0,coeffs_BIGINT); |
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| 218 | } |
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| 219 | else |
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| 220 | ineq = (bigintmat*) v->Data(); |
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| 221 | gfan::ZMatrix* zm = bigintmatToZMatrix(ineq); |
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| 222 | gfan::ZCone* zc = new gfan::ZCone(*zm, gfan::ZMatrix(0, zm->getWidth())); |
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| 223 | delete zm; |
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| 224 | if (v->Typ() == INTMAT_CMD) |
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| 225 | delete ineq; |
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| 226 | res->rtyp = polytopeID; |
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| 227 | res->data = (void*) zc; |
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| 228 | return FALSE; |
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| 229 | } |
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| 230 | |
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| 231 | static BOOLEAN ppCONENORMALS2(leftv res, leftv u, leftv v) |
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| 232 | { |
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| 233 | /* method for generating a cone object from iequalities, |
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| 234 | and equations (...) |
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| 235 | valid parametrizations: (bigintmat, bigintmat) |
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| 236 | Errors will be invoked in the following cases: |
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| 237 | - u and v have different numbers of columns */ |
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| 238 | bigintmat* ineq = NULL; bigintmat* eq = NULL; |
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| 239 | if (u->Typ() == INTMAT_CMD) |
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| 240 | { |
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| 241 | intvec* ineq0 = (intvec*) u->Data(); |
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| 242 | ineq = iv2bim(ineq0,coeffs_BIGINT); |
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| 243 | } |
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| 244 | else |
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| 245 | ineq = (bigintmat*) u->Data(); |
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| 246 | if (v->Typ() == INTMAT_CMD) |
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| 247 | { |
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| 248 | intvec* eq0 = (intvec*) v->Data(); |
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| 249 | eq = iv2bim(eq0,coeffs_BIGINT); |
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| 250 | } |
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| 251 | else |
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| 252 | eq = (bigintmat*) v->Data(); |
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| 253 | |
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| 254 | if (ineq->cols() != eq->cols()) |
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| 255 | { |
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| 256 | Werror("expected same number of columns but got %d vs. %d", |
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| 257 | ineq->cols(), eq->cols()); |
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| 258 | return TRUE; |
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| 259 | } |
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| 260 | gfan::ZMatrix* zm1 = bigintmatToZMatrix(ineq); |
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| 261 | gfan::ZMatrix* zm2 = bigintmatToZMatrix(eq); |
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| 262 | gfan::ZCone* zc = new gfan::ZCone(*zm1, *zm2); |
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| 263 | delete zm1; |
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| 264 | delete zm2; |
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| 265 | if (u->Typ() == INTMAT_CMD) |
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| 266 | delete ineq; |
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| 267 | if (v->Typ() == INTMAT_CMD) |
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| 268 | delete eq; |
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| 269 | |
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| 270 | res->rtyp = polytopeID; |
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| 271 | res->data = (void*) zc; |
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| 272 | return FALSE; |
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| 273 | } |
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| 274 | |
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| 275 | static BOOLEAN ppCONENORMALS3(leftv res, leftv u, leftv v, leftv w) |
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| 276 | { |
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| 277 | /* method for generating a cone object from inequalities, equations, |
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| 278 | and an integer k; |
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| 279 | valid parametrizations: (bigintmat, bigintmat, int); |
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| 280 | Errors will be invoked in the following cases: |
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| 281 | - u and v have different numbers of columns, |
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| 282 | - k not in [0..3]; |
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| 283 | if the 2^0-bit of k is set, then ... */ |
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| 284 | bigintmat* ineq = NULL; bigintmat* eq = NULL; |
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| 285 | if (u->Typ() == INTMAT_CMD) |
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| 286 | { |
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| 287 | intvec* ineq0 = (intvec*) u->Data(); |
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| 288 | ineq = iv2bim(ineq0,coeffs_BIGINT); |
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| 289 | } |
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| 290 | else |
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| 291 | ineq = (bigintmat*) u->Data(); |
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| 292 | if (v->Typ() == INTMAT_CMD) |
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| 293 | { |
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| 294 | intvec* eq0 = (intvec*) v->Data(); |
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| 295 | eq = iv2bim(eq0,coeffs_BIGINT); |
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| 296 | } |
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| 297 | else |
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| 298 | eq = (bigintmat*) v->Data(); |
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| 299 | |
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| 300 | if (ineq->cols() != eq->cols()) |
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| 301 | { |
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| 302 | Werror("expected same number of columns but got %d vs. %d", |
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| 303 | ineq->cols(), eq->cols()); |
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| 304 | return TRUE; |
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| 305 | } |
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| 306 | int k = (int)(long)w->Data(); |
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| 307 | if ((k < 0) || (k > 3)) |
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| 308 | { |
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| 309 | WerrorS("expected int argument in [0..3]"); |
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| 310 | return TRUE; |
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| 311 | } |
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| 312 | gfan::ZMatrix* zm1 = bigintmatToZMatrix(ineq); |
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| 313 | gfan::ZMatrix* zm2 = bigintmatToZMatrix(eq); |
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| 314 | gfan::ZCone* zc = new gfan::ZCone(*zm1, *zm2, k); |
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| 315 | delete zm1; |
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| 316 | delete zm2; |
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| 317 | if (u->Typ() == INTMAT_CMD) |
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| 318 | delete ineq; |
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| 319 | if (v->Typ() == INTMAT_CMD) |
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| 320 | delete eq; |
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| 321 | |
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| 322 | res->rtyp = polytopeID; |
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| 323 | res->data = (void*) zc; |
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| 324 | return FALSE; |
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| 325 | } |
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| 326 | |
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| 327 | BOOLEAN polytopeViaNormals(leftv res, leftv args) |
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| 328 | { |
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| 329 | leftv u = args; |
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| 330 | if ((u != NULL) && ((u->Typ() == BIGINTMAT_CMD) || (u->Typ() == INTMAT_CMD))) |
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| 331 | { |
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| 332 | if (u->next == NULL) return ppCONENORMALS1(res, u); |
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| 333 | } |
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| 334 | leftv v = u->next; |
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| 335 | if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTMAT_CMD))) |
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| 336 | { |
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| 337 | if (v->next == NULL) return ppCONENORMALS2(res, u, v); |
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| 338 | } |
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| 339 | leftv w = v->next; |
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| 340 | if ((w != NULL) && (w->Typ() == INT_CMD)) |
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| 341 | { |
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| 342 | if (w->next == NULL) return ppCONENORMALS3(res, u, v, w); |
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| 343 | } |
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| 344 | WerrorS("polytopeViaInequalities: unexpected parameters"); |
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| 345 | return TRUE; |
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| 346 | } |
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| 347 | |
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| 348 | BOOLEAN vertices(leftv res, leftv args) |
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| 349 | { |
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| 350 | leftv u = args; |
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| 351 | if ((u != NULL) && (u->Typ() == polytopeID)) |
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| 352 | { |
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| 353 | gfan::ZCone* zc = (gfan::ZCone*)u->Data(); |
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| 354 | gfan::ZMatrix zmat = zc->extremeRays(); |
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| 355 | res->rtyp = BIGINTMAT_CMD; |
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| 356 | res->data = (void*)zMatrixToBigintmat(zmat); |
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| 357 | return FALSE; |
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| 358 | } |
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| 359 | WerrorS("vertices: unexpected parameters"); |
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| 360 | return TRUE; |
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| 361 | } |
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| 362 | |
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| 363 | bigintmat* getFacetNormals(gfan::ZCone* zc) |
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| 364 | { |
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| 365 | gfan::ZMatrix zmat = zc->getFacets(); |
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| 366 | return zMatrixToBigintmat(zmat); |
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| 367 | } |
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| 368 | |
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| 369 | int getAmbientDimension(gfan::ZCone* zc) // zc is meant to represent a polytope here |
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| 370 | { // hence ambientDimension-1 |
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| 371 | return zc->ambientDimension()-1; |
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| 372 | } |
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| 373 | |
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| 374 | int getCodimension(gfan::ZCone *zc) |
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| 375 | { |
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| 376 | return zc->codimension(); |
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| 377 | } |
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| 378 | |
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| 379 | int getDimension(gfan::ZCone* zc) |
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| 380 | { |
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| 381 | return zc->dimension()-1; |
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| 382 | } |
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| 383 | |
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| 384 | gfan::ZVector intStar2ZVectorWithLeadingOne(const int d, const int* i) |
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| 385 | { |
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| 386 | gfan::ZVector zv(d+1); |
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| 387 | zv[0]=1; |
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| 388 | for(int j=1; j<=d; j++) |
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| 389 | { |
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| 390 | zv[j]=i[j]; |
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| 391 | } |
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| 392 | return zv; |
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| 393 | } |
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| 394 | |
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| 395 | BOOLEAN newtonPolytope(leftv res, leftv args) |
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| 396 | { |
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| 397 | leftv u = args; |
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| 398 | if ((u != NULL) && (u->Typ() == POLY_CMD)) |
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| 399 | { |
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| 400 | poly p = (poly)u->Data(); |
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| 401 | int N = rVar(currRing); |
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| 402 | gfan::ZMatrix zm(1,N+1); |
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| 403 | int *leadexpv = (int*)omAlloc((N+1)*sizeof(int)); |
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| 404 | while (p!=NULL) |
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| 405 | { |
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| 406 | pGetExpV(p,leadexpv); |
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| 407 | gfan::ZVector zv = intStar2ZVectorWithLeadingOne(N, leadexpv); |
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| 408 | zm.appendRow(zv); |
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| 409 | pIter(p); |
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| 410 | } |
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| 411 | omFreeSize(leadexpv,(N+1)*sizeof(int)); |
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| 412 | gfan::ZCone* zc = new gfan::ZCone(); |
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| 413 | *zc = gfan::ZCone::givenByRays(zm, gfan::ZMatrix(0, zm.getWidth())); |
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| 414 | res->rtyp = polytopeID; |
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| 415 | res->data = (void*) zc; |
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| 416 | return FALSE; |
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| 417 | } |
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| 418 | WerrorS("newtonPolytope: unexpected parameters"); |
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| 419 | return TRUE; |
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| 420 | } |
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| 421 | |
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| 422 | BOOLEAN scalePolytope(leftv res, leftv args) |
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| 423 | { |
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| 424 | leftv u = args; |
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| 425 | if ((u != NULL) && (u->Typ() == INT_CMD)) |
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| 426 | { |
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| 427 | leftv v = u->next; |
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| 428 | if ((v != NULL) && (v->Typ() == polytopeID)) |
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| 429 | { |
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| 430 | int s = (int)(long) u->Data(); |
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| 431 | gfan::ZCone* zp = (gfan::ZCone*) v->Data(); |
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| 432 | gfan::ZMatrix zm = zp->extremeRays(); |
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| 433 | for (int i=0; i<zm.getHeight(); i++) |
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| 434 | for (int j=1; j<zm.getWidth(); j++) |
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| 435 | zm[i][j]*=s; |
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| 436 | gfan::ZCone* zq = new gfan::ZCone(); |
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| 437 | *zq = gfan::ZCone::givenByRays(zm,gfan::ZMatrix(0, zm.getWidth())); |
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| 438 | res->rtyp = polytopeID; |
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| 439 | res->data = (void*) zq; |
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| 440 | return FALSE; |
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| 441 | } |
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| 442 | } |
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| 443 | WerrorS("scalePolytope: unexpected parameters"); |
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| 444 | return TRUE; |
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| 445 | } |
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| 446 | |
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| 447 | BOOLEAN dualPolytope(leftv res, leftv args) |
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| 448 | { |
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| 449 | leftv u = args; |
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| 450 | if ((u != NULL) && (u->Typ() == polytopeID)) |
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| 451 | { |
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| 452 | gfan::ZCone* zp = (gfan::ZCone*) u->Data(); |
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| 453 | gfan::ZCone* zq = new gfan::ZCone(zp->dualCone()); |
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| 454 | res->rtyp = polytopeID; |
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| 455 | res->data = (void*) zq; |
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| 456 | return FALSE; |
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| 457 | } |
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| 458 | WerrorS("dualPolytope: unexpected parameters"); |
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| 459 | return TRUE; |
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| 460 | } |
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| 461 | |
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| 462 | void bbpolytope_setup() |
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| 463 | { |
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| 464 | blackbox *b=(blackbox*)omAlloc0(sizeof(blackbox)); |
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| 465 | // all undefined entries will be set to default in setBlackboxStuff |
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| 466 | // the default Print is quite usefule, |
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| 467 | // all other are simply error messages |
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| 468 | b->blackbox_destroy=bbpolytope_destroy; |
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| 469 | b->blackbox_String=bbpolytope_String; |
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| 470 | //b->blackbox_Print=blackbox_default_Print; |
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| 471 | b->blackbox_Init=bbpolytope_Init; |
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| 472 | b->blackbox_Copy=bbpolytope_Copy; |
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| 473 | b->blackbox_Assign=bbpolytope_Assign; |
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| 474 | iiAddCproc("","polytopeViaPoints",FALSE,polytopeViaVertices); |
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| 475 | iiAddCproc("","polytopeViaInequalities",FALSE,polytopeViaNormals); |
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| 476 | iiAddCproc("","vertices",FALSE,vertices); |
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| 477 | iiAddCproc("","newtonPolytope",FALSE,newtonPolytope); |
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| 478 | iiAddCproc("","scalePolytope",FALSE,scalePolytope); |
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| 479 | iiAddCproc("","dualPolytope",FALSE,dualPolytope); |
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| 480 | /********************************************************/ |
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| 481 | /* the following functions are implemented in bbcone.cc */ |
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| 482 | // iiAddCproc("","getAmbientDimension",FALSE,getAmbientDimension); |
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| 483 | // iiAddCproc("","getCodimension",FALSE,getAmbientDimension); |
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| 484 | // iiAddCproc("","getDimension",FALSE,getDimension); |
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| 485 | // iiAddCproc("","getFacetNormals",FALSE,getFacetNormals); |
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| 486 | /********************************************************/ |
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| 487 | /* the following functions are identical to those in bbcone.cc */ |
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| 488 | // iiAddCproc("","setLinearForms",FALSE,setLinearForms); |
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| 489 | // iiAddCproc("","getLinearForms",FALSE,getLinearForms); |
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| 490 | // iiAddCproc("","setMultiplicity",FALSE,setMultiplicity); |
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| 491 | // iiAddCproc("","getMultiplicity",FALSE,getMultiplicity); |
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| 492 | // iiAddCproc("","hasFace",FALSE,hasFace); |
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| 493 | /***************************************************************/ |
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| 494 | // iiAddCproc("","getEquations",FALSE,getEquations); |
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| 495 | // iiAddCproc("","getInequalities",FALSE,getInequalities); |
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| 496 | polytopeID=setBlackboxStuff(b,"polytope"); |
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| 497 | //Print("created type %d (polytope)\n",polytopeID); |
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| 498 | } |
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| 499 | |
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| 500 | #endif |
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| 501 | /* HAVE_FANS */ |
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