1 /* Gimple Represented as Polyhedra.
2 Copyright (C) 2009, 2010 Free Software Foundation, Inc.
3 Contributed by Sebastian Pop <sebastian.pop@amd.com>
4 and Tobias Grosser <grosser@fim.uni-passau.de>
6 This file is part of GCC.
8 GCC is free software; you can redistribute it and/or modify
9 it under the terms of the GNU General Public License as published by
10 the Free Software Foundation; either version 3, or (at your option)
13 GCC is distributed in the hope that it will be useful,
14 but WITHOUT ANY WARRANTY; without even the implied warranty of
15 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
16 GNU General Public License for more details.
18 You should have received a copy of the GNU General Public License
19 along with GCC; see the file COPYING3. If not see
20 <http://www.gnu.org/licenses/>. */
24 #include "coretypes.h"
31 #include "graphite-cloog-util.h"
32 #include "graphite-ppl.h"
34 /* Set the inhomogeneous term of E to X. */
37 ppl_set_inhomogeneous_gmp (ppl_Linear_Expression_t e
, mpz_t x
)
44 ppl_new_Coefficient (&c
);
46 ppl_Linear_Expression_inhomogeneous_term (e
, c
);
47 ppl_Coefficient_to_mpz_t (c
, v1
);
51 ppl_assign_Coefficient_from_mpz_t (c
, v0
);
52 ppl_Linear_Expression_add_to_inhomogeneous (e
, c
);
56 ppl_delete_Coefficient (c
);
62 ppl_set_coef_gmp (ppl_Linear_Expression_t e
, ppl_dimension_type i
, mpz_t x
)
69 ppl_new_Coefficient (&c
);
71 ppl_Linear_Expression_coefficient (e
, i
, c
);
72 ppl_Coefficient_to_mpz_t (c
, v1
);
76 ppl_assign_Coefficient_from_mpz_t (c
, v0
);
77 ppl_Linear_Expression_add_to_coefficient (e
, i
, c
);
81 ppl_delete_Coefficient (c
);
84 /* Insert after X NB_NEW_DIMS empty dimensions into PH.
86 With x = 3 and nb_new_dims = 4
92 | d0 d1 d2 x0 x1 x2 x3 d3 d4
94 | map = {0, 1, 2, 7, 8, 3, 4, 5, 6}
98 ppl_insert_dimensions_pointset (ppl_Pointset_Powerset_C_Polyhedron_t ph
, int x
,
101 ppl_dimension_type i
, dim
;
102 ppl_dimension_type
*map
;
103 ppl_dimension_type x_ppl
, nb_new_dims_ppl
;
105 x_ppl
= (ppl_dimension_type
) x
;
106 nb_new_dims_ppl
= (ppl_dimension_type
) nb_new_dims
;
108 ppl_Pointset_Powerset_C_Polyhedron_space_dimension (ph
, &dim
);
109 ppl_Pointset_Powerset_C_Polyhedron_add_space_dimensions_and_embed (ph
, nb_new_dims
);
111 map
= (ppl_dimension_type
*) XNEWVEC (ppl_dimension_type
, dim
+ nb_new_dims
);
113 for (i
= 0; i
< x_ppl
; i
++)
116 for (i
= x_ppl
; i
< x_ppl
+ nb_new_dims_ppl
; i
++)
117 map
[dim
+ i
- x_ppl
] = i
;
119 for (i
= x_ppl
+ nb_new_dims_ppl
; i
< dim
+ nb_new_dims_ppl
; i
++)
120 map
[i
- nb_new_dims_ppl
] = i
;
122 ppl_Pointset_Powerset_C_Polyhedron_map_space_dimensions (ph
, map
, dim
+ nb_new_dims
);
126 /* Insert after X NB_NEW_DIMS empty dimensions into PH.
128 With x = 3 and nb_new_dims = 4
134 | d0 d1 d2 x0 x1 x2 x3 d3 d4
136 | map = {0, 1, 2, 7, 8, 3, 4, 5, 6}
140 ppl_insert_dimensions (ppl_Polyhedron_t ph
, int x
,
143 ppl_dimension_type i
, dim
;
144 ppl_dimension_type
*map
;
145 ppl_dimension_type x_ppl
, nb_new_dims_ppl
;
147 x_ppl
= (ppl_dimension_type
) x
;
148 nb_new_dims_ppl
= (ppl_dimension_type
) nb_new_dims
;
150 ppl_Polyhedron_space_dimension (ph
, &dim
);
151 ppl_Polyhedron_add_space_dimensions_and_embed (ph
, nb_new_dims
);
153 map
= (ppl_dimension_type
*) XNEWVEC (ppl_dimension_type
, dim
+ nb_new_dims
);
155 for (i
= 0; i
< x_ppl
; i
++)
158 for (i
= x_ppl
; i
< x_ppl
+ nb_new_dims_ppl
; i
++)
159 map
[dim
+ i
- x_ppl
] = i
;
161 for (i
= x_ppl
+ nb_new_dims_ppl
; i
< dim
+ nb_new_dims_ppl
; i
++)
162 map
[i
- nb_new_dims_ppl
] = i
;
164 ppl_Polyhedron_map_space_dimensions (ph
, map
, dim
+ nb_new_dims
);
168 /* Based on the original polyhedron PH, returns a new polyhedron with
169 an extra dimension placed at position LOOP + 1 that slices the
170 dimension LOOP into strips of size STRIDE. */
173 ppl_strip_loop (ppl_Polyhedron_t ph
, ppl_dimension_type loop
, int stride
)
175 ppl_const_Constraint_System_t pcs
;
176 ppl_Constraint_System_const_iterator_t cit
, end
;
177 ppl_const_Constraint_t cstr
;
178 ppl_Linear_Expression_t expr
;
180 ppl_dimension_type dim
;
181 ppl_Polyhedron_t res
;
186 ppl_new_Coefficient (&c
);
188 ppl_Polyhedron_space_dimension (ph
, &dim
);
189 ppl_Polyhedron_get_constraints (ph
, &pcs
);
191 /* Start from a copy of the constraints. */
192 ppl_new_C_Polyhedron_from_space_dimension (&res
, dim
+ 1, 0);
193 ppl_Polyhedron_add_constraints (res
, pcs
);
195 /* Add an empty dimension for the strip loop. */
196 ppl_insert_dimensions (res
, loop
, 1);
198 /* Identify the constraints that define the lower and upper bounds
199 of the strip-mined loop, and add them to the strip loop. */
201 ppl_Polyhedron_t tmp
;
203 ppl_new_C_Polyhedron_from_space_dimension (&tmp
, dim
+ 1, 0);
204 ppl_new_Constraint_System_const_iterator (&cit
);
205 ppl_new_Constraint_System_const_iterator (&end
);
207 for (ppl_Constraint_System_begin (pcs
, cit
),
208 ppl_Constraint_System_end (pcs
, end
);
209 !ppl_Constraint_System_const_iterator_equal_test (cit
, end
);
210 ppl_Constraint_System_const_iterator_increment (cit
))
212 ppl_Constraint_System_const_iterator_dereference (cit
, &cstr
);
213 ppl_new_Linear_Expression_from_Constraint (&expr
, cstr
);
214 ppl_Linear_Expression_coefficient (expr
, loop
, c
);
215 ppl_delete_Linear_Expression (expr
);
216 ppl_Coefficient_to_mpz_t (c
, val
);
217 v
= mpz_get_si (val
);
220 ppl_Polyhedron_add_constraint (tmp
, cstr
);
222 ppl_delete_Constraint_System_const_iterator (cit
);
223 ppl_delete_Constraint_System_const_iterator (end
);
225 ppl_insert_dimensions (tmp
, loop
+ 1, 1);
226 ppl_Polyhedron_get_constraints (tmp
, &pcs
);
227 ppl_Polyhedron_add_constraints (res
, pcs
);
228 ppl_delete_Polyhedron (tmp
);
231 /* Lower bound of a tile starts at "stride * outer_iv". */
233 ppl_Constraint_t new_cstr
;
234 ppl_new_Linear_Expression_with_dimension (&expr
, dim
+ 1);
236 ppl_set_coef (expr
, loop
+ 1, 1);
237 ppl_set_coef (expr
, loop
, -1 * stride
);
239 ppl_new_Constraint (&new_cstr
, expr
, PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL
);
240 ppl_delete_Linear_Expression (expr
);
241 ppl_Polyhedron_add_constraint (res
, new_cstr
);
242 ppl_delete_Constraint (new_cstr
);
245 /* Upper bound of a tile stops at "stride * outer_iv + stride - 1",
246 or at the old upper bound that is not modified. */
248 ppl_Constraint_t new_cstr
;
249 ppl_new_Linear_Expression_with_dimension (&expr
, dim
+ 1);
251 ppl_set_coef (expr
, loop
+ 1, -1);
252 ppl_set_coef (expr
, loop
, stride
);
253 ppl_set_inhomogeneous (expr
, stride
- 1);
255 ppl_new_Constraint (&new_cstr
, expr
, PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL
);
256 ppl_delete_Linear_Expression (expr
);
257 ppl_Polyhedron_add_constraint (res
, new_cstr
);
258 ppl_delete_Constraint (new_cstr
);
262 ppl_delete_Coefficient (c
);
266 /* Lexicographically compares two linear expressions A and B and
267 returns negative when A < B, 0 when A == B and positive when A > B. */
270 ppl_lexico_compare_linear_expressions (ppl_Linear_Expression_t a
,
271 ppl_Linear_Expression_t b
)
273 ppl_dimension_type min_length
, length1
, length2
;
274 ppl_dimension_type i
;
279 ppl_Linear_Expression_space_dimension (a
, &length1
);
280 ppl_Linear_Expression_space_dimension (b
, &length2
);
281 ppl_new_Coefficient (&c
);
285 if (length1
< length2
)
286 min_length
= length1
;
288 min_length
= length2
;
290 for (i
= 0; i
< min_length
; i
++)
292 ppl_Linear_Expression_coefficient (a
, i
, c
);
293 ppl_Coefficient_to_mpz_t (c
, va
);
294 ppl_Linear_Expression_coefficient (b
, i
, c
);
295 ppl_Coefficient_to_mpz_t (c
, vb
);
296 res
= mpz_cmp (va
, vb
);
303 ppl_delete_Coefficient (c
);
309 ppl_delete_Coefficient (c
);
310 return length1
- length2
;
313 /* Print to FILE the polyhedron PH under its PolyLib matrix form. */
316 ppl_print_polyhedron_matrix (FILE *file
, ppl_const_Polyhedron_t ph
)
318 CloogMatrix
*mat
= new_Cloog_Matrix_from_ppl_Polyhedron (ph
);
319 cloog_matrix_print (file
, mat
);
320 cloog_matrix_free (mat
);
323 /* Print to FILE the linear expression LE. */
326 ppl_print_linear_expr (FILE *file
, ppl_Linear_Expression_t le
)
329 ppl_Polyhedron_t pol
;
330 ppl_dimension_type dim
;
332 ppl_Linear_Expression_space_dimension (le
, &dim
);
333 ppl_new_C_Polyhedron_from_space_dimension (&pol
, dim
, 0);
334 ppl_new_Constraint (&c
, le
, PPL_CONSTRAINT_TYPE_EQUAL
);
335 ppl_Polyhedron_add_constraint (pol
, c
);
336 ppl_print_polyhedron_matrix (file
, pol
);
339 /* Print to STDERR the linear expression LE. */
342 debug_ppl_linear_expr (ppl_Linear_Expression_t le
)
344 ppl_print_linear_expr (stderr
, le
);
347 /* Print to FILE the powerset PS in its PolyLib matrix form. */
350 ppl_print_powerset_matrix (FILE *file
,
351 ppl_Pointset_Powerset_C_Polyhedron_t ps
)
354 ppl_Pointset_Powerset_C_Polyhedron_iterator_t it
, end
;
356 ppl_new_Pointset_Powerset_C_Polyhedron_iterator (&it
);
357 ppl_new_Pointset_Powerset_C_Polyhedron_iterator (&end
);
359 ppl_Pointset_Powerset_C_Polyhedron_size (ps
, &nb_disjuncts
);
360 fprintf (file
, "%d\n", (int) nb_disjuncts
);
362 for (ppl_Pointset_Powerset_C_Polyhedron_iterator_begin (ps
, it
),
363 ppl_Pointset_Powerset_C_Polyhedron_iterator_end (ps
, end
);
364 !ppl_Pointset_Powerset_C_Polyhedron_iterator_equal_test (it
, end
);
365 ppl_Pointset_Powerset_C_Polyhedron_iterator_increment (it
))
367 ppl_const_Polyhedron_t ph
;
369 ppl_Pointset_Powerset_C_Polyhedron_iterator_dereference (it
, &ph
);
370 ppl_print_polyhedron_matrix (file
, ph
);
373 ppl_delete_Pointset_Powerset_C_Polyhedron_iterator (it
);
374 ppl_delete_Pointset_Powerset_C_Polyhedron_iterator (end
);
377 /* Print to STDERR the polyhedron PH under its PolyLib matrix form. */
380 debug_ppl_polyhedron_matrix (ppl_Polyhedron_t ph
)
382 ppl_print_polyhedron_matrix (stderr
, ph
);
385 /* Print to STDERR the powerset PS in its PolyLib matrix form. */
388 debug_ppl_powerset_matrix (ppl_Pointset_Powerset_C_Polyhedron_t ps
)
390 ppl_print_powerset_matrix (stderr
, ps
);
393 /* Read from FILE a polyhedron under PolyLib matrix form and return a
394 PPL polyhedron object. */
397 ppl_read_polyhedron_matrix (ppl_Polyhedron_t
*ph
, FILE *file
)
399 CloogMatrix
*mat
= cloog_matrix_read (file
);
400 new_C_Polyhedron_from_Cloog_Matrix (ph
, mat
);
401 cloog_matrix_free (mat
);
404 /* Return in RES the maximum of the linear expression LE on the
405 pointset powerset of polyhedra PS. */
408 ppl_max_for_le_pointset (ppl_Pointset_Powerset_C_Polyhedron_t ps
,
409 ppl_Linear_Expression_t le
, mpz_t res
)
411 ppl_Coefficient_t num
, denom
;
417 ppl_new_Coefficient (&num
);
418 ppl_new_Coefficient (&denom
);
419 err
= ppl_Pointset_Powerset_C_Polyhedron_maximize (ps
, le
, num
, denom
, &maximum
);
423 ppl_Coefficient_to_mpz_t (num
, nv
);
424 ppl_Coefficient_to_mpz_t (denom
, dv
);
425 gcc_assert (mpz_sgn (dv
) != 0);
426 mpz_tdiv_q (res
, nv
, dv
);
431 ppl_delete_Coefficient (num
);
432 ppl_delete_Coefficient (denom
);
435 /* Return in RES the maximum of the linear expression LE on the
439 ppl_min_for_le_pointset (ppl_Pointset_Powerset_C_Polyhedron_t ps
,
440 ppl_Linear_Expression_t le
, mpz_t res
)
442 ppl_Coefficient_t num
, denom
;
448 ppl_new_Coefficient (&num
);
449 ppl_new_Coefficient (&denom
);
450 err
= ppl_Pointset_Powerset_C_Polyhedron_minimize (ps
, le
, num
, denom
, &minimum
);
454 ppl_Coefficient_to_mpz_t (num
, nv
);
455 ppl_Coefficient_to_mpz_t (denom
, dv
);
456 gcc_assert (mpz_sgn (dv
) != 0);
457 mpz_tdiv_q (res
, nv
, dv
);
462 ppl_delete_Coefficient (num
);
463 ppl_delete_Coefficient (denom
);
466 /* Builds a constraint in dimension DIM relating dimensions POS1 to
467 POS2 as "POS1 - POS2 + C CSTR_TYPE 0" */
470 ppl_build_relation (int dim
, int pos1
, int pos2
, int c
,
471 enum ppl_enum_Constraint_Type cstr_type
)
473 ppl_Linear_Expression_t expr
;
474 ppl_Constraint_t cstr
;
475 ppl_Coefficient_t coef
;
483 mpz_set_si (v_op
, -1);
486 ppl_new_Coefficient (&coef
);
487 ppl_new_Linear_Expression_with_dimension (&expr
, dim
);
489 ppl_assign_Coefficient_from_mpz_t (coef
, v
);
490 ppl_Linear_Expression_add_to_coefficient (expr
, pos1
, coef
);
491 ppl_assign_Coefficient_from_mpz_t (coef
, v_op
);
492 ppl_Linear_Expression_add_to_coefficient (expr
, pos2
, coef
);
493 ppl_assign_Coefficient_from_mpz_t (coef
, v_c
);
494 ppl_Linear_Expression_add_to_inhomogeneous (expr
, coef
);
496 ppl_new_Constraint (&cstr
, expr
, cstr_type
);
498 ppl_delete_Linear_Expression (expr
);
499 ppl_delete_Coefficient (coef
);