add isl_union_map_card
[barvinok.git] / param_util.c
blobc20c4f9f2b1693ee0dee2bda080085681d7d0190
1 #include <assert.h>
2 #include <barvinok/options.h>
3 #include "param_util.h"
4 #include "topcom.h"
5 #include "isl_param_util.h"
6 #include "config.h"
8 #define ALLOC(type) (type*)malloc(sizeof(type))
9 #define ALLOCN(type,n) (type*)malloc((n) * sizeof(type))
11 void Param_Vertex_Common_Denominator(Param_Vertices *V)
13 unsigned dim;
14 Value lcm;
15 int i;
17 assert(V->Vertex->NbRows > 0);
18 dim = V->Vertex->NbColumns-2;
20 value_init(lcm);
22 value_assign(lcm, V->Vertex->p[0][dim+1]);
23 for (i = 1; i < V->Vertex->NbRows; ++i)
24 value_lcm(lcm, V->Vertex->p[i][dim+1], lcm);
26 for (i = 0; i < V->Vertex->NbRows; ++i) {
27 if (value_eq(V->Vertex->p[i][dim+1], lcm))
28 continue;
29 value_division(V->Vertex->p[i][dim+1], lcm, V->Vertex->p[i][dim+1]);
30 Vector_Scale(V->Vertex->p[i], V->Vertex->p[i],
31 V->Vertex->p[i][dim+1], dim+1);
32 value_assign(V->Vertex->p[i][dim+1], lcm);
35 value_clear(lcm);
38 /* Plug in the parametric vertex Vertex (nvar x (nparam + 2))
39 * in the constraint constraint (1 + nvar + nparam + 1).
40 * The result is stored in row (1 + nparam + 1),
41 * with the denominator in position 0.
43 void Param_Inner_Product(Value *constraint, Matrix *Vertex, Value *row)
45 unsigned nparam = Vertex->NbColumns - 2;
46 unsigned nvar = Vertex->NbRows;
47 int j;
48 Value tmp, tmp2;
50 value_set_si(row[0], 1);
51 Vector_Set(row+1, 0, nparam+1);
53 value_init(tmp);
54 value_init(tmp2);
56 for (j = 0 ; j < nvar; ++j) {
57 value_set_si(tmp, 1);
58 value_assign(tmp2, constraint[1+j]);
59 if (value_ne(row[0], Vertex->p[j][nparam+1])) {
60 value_assign(tmp, row[0]);
61 value_lcm(row[0], row[0], Vertex->p[j][nparam+1]);
62 value_division(tmp, row[0], tmp);
63 value_multiply(tmp2, tmp2, row[0]);
64 value_division(tmp2, tmp2, Vertex->p[j][nparam+1]);
66 Vector_Combine(row+1, Vertex->p[j], row+1, tmp, tmp2, nparam+1);
68 value_set_si(tmp, 1);
69 Vector_Combine(row+1, constraint+1+nvar, row+1, tmp, row[0], nparam+1);
71 value_clear(tmp);
72 value_clear(tmp2);
75 static Param_Polyhedron *PL_P2PP(Polyhedron *Din, Polyhedron *Cin,
76 struct barvinok_options *options)
78 unsigned MaxRays = options->MaxRays;
79 if (MaxRays & (POL_NO_DUAL | POL_INTEGER))
80 MaxRays = 0;
81 return Polyhedron2Param_Domain(Din, Cin, MaxRays);
84 /* Compute a dummy Param_Domain that contains all vertices of Param_Domain D
85 * (which contains the vertices of P) that lie on the facet obtained by
86 * saturating constraint c of P
88 Param_Domain *Param_Polyhedron_Facet(Param_Polyhedron *PP, Param_Domain *D,
89 Value *constraint)
91 int nv;
92 Param_Vertices *V;
93 unsigned nparam = PP->V->Vertex->NbColumns-2;
94 Vector *row = Vector_Alloc(1+nparam+1);
95 Param_Domain *FD = ALLOC(Param_Domain);
96 FD->Domain = 0;
97 FD->next = 0;
99 nv = (PP->nbV - 1)/(8*sizeof(int)) + 1;
100 FD->F = ALLOCN(unsigned, nv);
101 memset(FD->F, 0, nv * sizeof(unsigned));
103 FORALL_PVertex_in_ParamPolyhedron(V, D, PP) /* _i, _ix, _bx internal counters */
104 int n;
105 Param_Inner_Product(constraint, V->Vertex, row->p);
106 if (First_Non_Zero(row->p+1, nparam+1) == -1)
107 FD->F[_ix] |= _bx;
108 END_FORALL_PVertex_in_ParamPolyhedron;
110 Vector_Free(row);
112 return FD;
115 #ifndef POINTS2TRIANGS_PATH
116 Param_Polyhedron *TC_P2PP(Polyhedron *P, Polyhedron *C,
117 struct barvinok_options *options)
119 return NULL;
121 #endif
123 Param_Polyhedron *Polyhedron2Param_Polyhedron(Polyhedron *P, Polyhedron *C,
124 struct barvinok_options *options)
126 switch(options->chambers) {
127 case BV_CHAMBERS_POLYLIB:
128 return PL_P2PP(P, C, options);
129 break;
130 case BV_CHAMBERS_TOPCOM:
131 return TC_P2PP(P, C, options);
132 break;
133 case BV_CHAMBERS_ISL:
134 return ISL_P2PP(P, C, options);
135 break;
136 default:
137 assert(0);
141 #define INT_BITS (sizeof(unsigned) * 8)
143 /* Wegner's method for counting the number of ones in a bit vector */
144 int bit_vector_count(unsigned *F, int F_len)
146 int i;
147 int count = 0;
149 for (i = 0; i < F_len; ++i) {
150 unsigned v = F[i];
151 while (v) {
152 v &= v-1;
153 ++count;
156 return count;
159 void Param_Vertex_Set_Facets(Param_Polyhedron *PP, Param_Vertices *V)
161 if (!V->Facets) {
162 unsigned nparam = V->Vertex->NbColumns - 2;
163 int len = (PP->Constraints->NbRows+INT_BITS-1)/INT_BITS;
164 int i, ix;
165 unsigned bx;
166 Vector *row = Vector_Alloc(1 + nparam + 1);
168 V->Facets = (unsigned *)calloc(len, sizeof(unsigned));
169 for (i = 0, ix = 0, bx = MSB; i < PP->Constraints->NbRows; ++i) {
170 Param_Inner_Product(PP->Constraints->p[i], V->Vertex, row->p);
171 if (First_Non_Zero(row->p+1, nparam+1) == -1)
172 V->Facets[ix] |= bx;
173 NEXT(ix, bx);
175 Vector_Free(row);
179 Polyhedron *Param_Vertex_Cone(Param_Polyhedron *PP, Param_Vertices *V,
180 struct barvinok_options *options)
182 int i, j, ix;
183 unsigned bx;
184 int len = (PP->Constraints->NbRows+INT_BITS-1)/INT_BITS;
185 int n;
186 Matrix *M;
187 Polyhedron *C;
188 unsigned nvar = V->Vertex->NbRows;
189 unsigned nparam = V->Vertex->NbColumns - 2;
191 if (!V->Facets)
192 Param_Vertex_Set_Facets(PP, V);
193 n = bit_vector_count(V->Facets, len);
195 M = Matrix_Alloc(n, 1+nvar+1);
196 assert(M);
197 for (i = 0, j = 0, ix = 0, bx = MSB; i < PP->Constraints->NbRows; ++i) {
198 if (V->Facets[ix] & bx)
199 Vector_Copy(PP->Constraints->p[i], M->p[j++], 1+nvar);
200 NEXT(ix, bx);
202 C = Constraints2Polyhedron(M, options->MaxRays);
203 assert(C);
204 Matrix_Free(M);
205 return C;
208 /* Compute activity domain of a parametric vertex. */
209 void Param_Vertex_Domain(Param_Vertices *V, Polyhedron *P)
211 int i;
212 unsigned nparam = V->Vertex->NbColumns-2;
214 if (V->Domain)
215 return;
217 V->Domain = Matrix_Alloc(P->NbConstraints, 1+nparam+1);
218 for (i = 0; i < P->NbConstraints; ++i) {
219 Param_Inner_Product(P->Constraint[i], V->Vertex, V->Domain->p[i]);
220 value_assign(V->Domain->p[i][0], P->Constraint[i][0]);