1 /* Data dependence analysis for Graphite.
2 Copyright (C) 2009 Free Software Foundation, Inc.
3 Contributed by Sebastian Pop <sebastian.pop@amd.com> and
4 Konrad Trifunovic <konrad.trifunovic@inria.fr>.
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"
29 #include "basic-block.h"
30 #include "diagnostic.h"
31 #include "tree-flow.h"
33 #include "tree-dump.h"
36 #include "tree-chrec.h"
37 #include "tree-data-ref.h"
38 #include "tree-scalar-evolution.h"
39 #include "tree-pass.h"
41 #include "pointer-set.h"
45 #include "cloog/cloog.h"
48 #include "graphite-ppl.h"
50 #include "graphite-poly.h"
51 #include "graphite-dependences.h"
53 /* Returns a new polyhedral Data Dependence Relation (DDR). SOURCE is
54 the source data reference, SINK is the sink data reference. SOURCE
55 and SINK define an edge in the Data Dependence Graph (DDG). */
58 new_poly_ddr (poly_dr_p source, poly_dr_p sink,
59 ppl_Pointset_Powerset_C_Polyhedron_t ddp)
63 pddr = XNEW (struct poly_ddr);
64 PDDR_SOURCE (pddr) = source;
65 PDDR_SINK (pddr) = sink;
66 PDDR_DDP (pddr) = ddp;
67 PDDR_KIND (pddr) = unknown_dependence;
72 /* Free the poly_ddr_p P. */
75 free_poly_ddr (void *p)
77 poly_ddr_p pddr = (poly_ddr_p) p;
78 ppl_delete_Pointset_Powerset_C_Polyhedron (PDDR_DDP (pddr));
82 /* Comparison function for poly_ddr hash table. */
85 eq_poly_ddr_p (const void *pddr1, const void *pddr2)
87 const struct poly_ddr *p1 = (const struct poly_ddr *) pddr1;
88 const struct poly_ddr *p2 = (const struct poly_ddr *) pddr2;
90 return (PDDR_SOURCE (p1) == PDDR_SOURCE (p2)
91 && PDDR_SINK (p1) == PDDR_SINK (p2));
94 /* Hash function for poly_ddr hashtable. */
97 hash_poly_ddr_p (const void *pddr)
99 const struct poly_ddr *p = (const struct poly_ddr *) pddr;
101 return (hashval_t) ((long) PDDR_SOURCE (p) + (long) PDDR_SINK (p));
104 /* Returns true when PDDR has no dependence. */
107 pddr_is_empty (poly_ddr_p pddr)
109 if (PDDR_KIND (pddr) != unknown_dependence)
110 return PDDR_KIND (pddr) == no_dependence ? true : false;
112 if (ppl_Pointset_Powerset_C_Polyhedron_is_empty (PDDR_DDP (pddr)))
114 PDDR_KIND (pddr) = no_dependence;
118 PDDR_KIND (pddr) = has_dependence;
122 /* Returns a polyhedron of dimension DIM.
124 Maps the dimensions [0, ..., cut - 1] of polyhedron P to OFFSET
125 and the dimensions [cut, ..., nb_dim] to DIM - GDIM. */
127 static ppl_Pointset_Powerset_C_Polyhedron_t
128 map_into_dep_poly (graphite_dim_t dim, graphite_dim_t gdim,
129 ppl_Pointset_Powerset_C_Polyhedron_t p,
131 graphite_dim_t offset)
133 ppl_Pointset_Powerset_C_Polyhedron_t res;
135 ppl_new_Pointset_Powerset_C_Polyhedron_from_Pointset_Powerset_C_Polyhedron
137 ppl_insert_dimensions_pointset (res, 0, offset);
138 ppl_insert_dimensions_pointset (res, offset + cut,
139 dim - offset - cut - gdim);
144 /* Swap [cut0, ..., cut1] to the end of DR: "a CUT0 b CUT1 c" is
145 transformed into "a CUT0 c CUT1' b"
147 Add NB0 zeros before "a": "00...0 a CUT0 c CUT1' b"
148 Add NB1 zeros between "a" and "c": "00...0 a 00...0 c CUT1' b"
149 Add DIM - NB0 - NB1 - PDIM zeros between "c" and "b":
150 "00...0 a 00...0 c 00...0 b". */
152 static ppl_Pointset_Powerset_C_Polyhedron_t
153 map_dr_into_dep_poly (graphite_dim_t dim,
154 ppl_Pointset_Powerset_C_Polyhedron_t dr,
155 graphite_dim_t cut0, graphite_dim_t cut1,
156 graphite_dim_t nb0, graphite_dim_t nb1)
158 ppl_dimension_type pdim;
159 ppl_dimension_type *map;
160 ppl_Pointset_Powerset_C_Polyhedron_t res;
161 ppl_dimension_type i;
163 ppl_new_Pointset_Powerset_C_Polyhedron_from_Pointset_Powerset_C_Polyhedron
165 ppl_Pointset_Powerset_C_Polyhedron_space_dimension (res, &pdim);
167 map = (ppl_dimension_type *) XNEWVEC (ppl_dimension_type, pdim);
169 /* First mapping: move 'g' vector to right position. */
170 for (i = 0; i < cut0; i++)
173 for (i = cut0; i < cut1; i++)
174 map[i] = pdim - cut1 + i;
176 for (i = cut1; i < pdim; i++)
177 map[i] = cut0 + i - cut1;
179 ppl_Pointset_Powerset_C_Polyhedron_map_space_dimensions (res, map, pdim);
182 /* After swapping 's' and 'g' vectors, we have to update a new cut. */
183 cut1 = pdim - cut1 + cut0;
185 ppl_insert_dimensions_pointset (res, 0, nb0);
186 ppl_insert_dimensions_pointset (res, nb0 + cut0, nb1);
187 ppl_insert_dimensions_pointset (res, nb0 + nb1 + cut1,
188 dim - nb0 - nb1 - pdim);
193 /* Builds a constraints of the form "POS1 - POS2 CSTR_TYPE C" */
195 static ppl_Constraint_t
196 build_pairwise_constraint (graphite_dim_t dim,
197 graphite_dim_t pos1, graphite_dim_t pos2,
198 int c, enum ppl_enum_Constraint_Type cstr_type)
200 ppl_Linear_Expression_t expr;
201 ppl_Constraint_t cstr;
202 ppl_Coefficient_t coef;
210 value_set_si (v_op, -1);
211 value_set_si (v_c, c);
213 ppl_new_Coefficient (&coef);
214 ppl_new_Linear_Expression_with_dimension (&expr, dim);
216 ppl_assign_Coefficient_from_mpz_t (coef, v);
217 ppl_Linear_Expression_add_to_coefficient (expr, pos1, coef);
218 ppl_assign_Coefficient_from_mpz_t (coef, v_op);
219 ppl_Linear_Expression_add_to_coefficient (expr, pos2, coef);
220 ppl_assign_Coefficient_from_mpz_t (coef, v_c);
221 ppl_Linear_Expression_add_to_inhomogeneous (expr, coef);
223 ppl_new_Constraint (&cstr, expr, cstr_type);
225 ppl_delete_Linear_Expression (expr);
226 ppl_delete_Coefficient (coef);
234 /* Builds subscript equality constraints. */
236 static ppl_Pointset_Powerset_C_Polyhedron_t
237 dr_equality_constraints (graphite_dim_t dim,
238 graphite_dim_t pos, graphite_dim_t nb_subscripts)
240 ppl_Polyhedron_t subscript_equalities;
241 ppl_Pointset_Powerset_C_Polyhedron_t res;
248 value_set_si (v_op, -1);
250 ppl_new_C_Polyhedron_from_space_dimension (&subscript_equalities, dim, 0);
251 for (i = 0; i < nb_subscripts; i++)
253 ppl_Linear_Expression_t expr;
254 ppl_Constraint_t cstr;
255 ppl_Coefficient_t coef;
257 ppl_new_Coefficient (&coef);
258 ppl_new_Linear_Expression_with_dimension (&expr, dim);
260 ppl_assign_Coefficient_from_mpz_t (coef, v);
261 ppl_Linear_Expression_add_to_coefficient (expr, pos + i, coef);
262 ppl_assign_Coefficient_from_mpz_t (coef, v_op);
263 ppl_Linear_Expression_add_to_coefficient (expr, pos + i + nb_subscripts,
266 ppl_new_Constraint (&cstr, expr, PPL_CONSTRAINT_TYPE_EQUAL);
267 ppl_Polyhedron_add_constraint (subscript_equalities, cstr);
269 ppl_delete_Linear_Expression (expr);
270 ppl_delete_Constraint (cstr);
271 ppl_delete_Coefficient (coef);
274 ppl_new_Pointset_Powerset_C_Polyhedron_from_C_Polyhedron
275 (&res, subscript_equalities);
278 ppl_delete_Polyhedron (subscript_equalities);
283 /* Builds scheduling equality constraints. */
285 static ppl_Pointset_Powerset_C_Polyhedron_t
286 build_pairwise_scheduling_equality (graphite_dim_t dim,
287 graphite_dim_t pos, graphite_dim_t offset)
289 ppl_Pointset_Powerset_C_Polyhedron_t res;
290 ppl_Polyhedron_t equalities;
291 ppl_Constraint_t cstr;
293 ppl_new_C_Polyhedron_from_space_dimension (&equalities, dim, 0);
295 cstr = build_pairwise_constraint (dim, pos, pos + offset, 0,
296 PPL_CONSTRAINT_TYPE_EQUAL);
297 ppl_Polyhedron_add_constraint (equalities, cstr);
298 ppl_delete_Constraint (cstr);
300 ppl_new_Pointset_Powerset_C_Polyhedron_from_C_Polyhedron (&res, equalities);
301 ppl_delete_Polyhedron (equalities);
305 /* Builds scheduling inequality constraints. */
307 static ppl_Pointset_Powerset_C_Polyhedron_t
308 build_pairwise_scheduling_inequality (graphite_dim_t dim,
310 graphite_dim_t offset,
313 ppl_Pointset_Powerset_C_Polyhedron_t res;
314 ppl_Polyhedron_t equalities;
315 ppl_Constraint_t cstr;
317 ppl_new_C_Polyhedron_from_space_dimension (&equalities, dim, 0);
320 cstr = build_pairwise_constraint (dim, pos, pos + offset, -1,
321 PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL);
323 cstr = build_pairwise_constraint (dim, pos, pos + offset, 1,
324 PPL_CONSTRAINT_TYPE_LESS_OR_EQUAL);
326 ppl_Polyhedron_add_constraint (equalities, cstr);
327 ppl_delete_Constraint (cstr);
329 ppl_new_Pointset_Powerset_C_Polyhedron_from_C_Polyhedron (&res, equalities);
330 ppl_delete_Polyhedron (equalities);
334 /* Returns true when adding the lexicographical constraints at level I
335 to the RES dependence polyhedron returns an empty polyhedron. */
338 lexicographically_gt_p (ppl_Pointset_Powerset_C_Polyhedron_t res,
340 graphite_dim_t offset,
341 bool direction, graphite_dim_t i)
343 ppl_Pointset_Powerset_C_Polyhedron_t ineq;
346 ineq = build_pairwise_scheduling_inequality (dim, i, offset,
348 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (ineq, res);
349 empty_p = ppl_Pointset_Powerset_C_Polyhedron_is_empty (ineq);
351 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (res, ineq);
352 ppl_delete_Pointset_Powerset_C_Polyhedron (ineq);
357 /* Build the precedence constraints for the lexicographical comparison
358 of time vectors RES following the lexicographical order. */
361 build_lexicographically_gt_constraint (ppl_Pointset_Powerset_C_Polyhedron_t *res,
363 graphite_dim_t tdim1,
364 graphite_dim_t offset,
369 if (lexicographically_gt_p (*res, dim, offset, direction, 0))
372 for (i = 0; i < tdim1 - 1; i++)
374 ppl_Pointset_Powerset_C_Polyhedron_t sceq;
376 sceq = build_pairwise_scheduling_equality (dim, i, offset);
377 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (*res, sceq);
378 ppl_delete_Pointset_Powerset_C_Polyhedron (sceq);
380 if (lexicographically_gt_p (*res, dim, offset, direction, i + 1))
386 ppl_delete_Pointset_Powerset_C_Polyhedron (*res);
387 ppl_new_Pointset_Powerset_C_Polyhedron_from_space_dimension (res, dim, 1);
391 /* Build the dependence polyhedron for data references PDR1 and PDR2.
392 The layout of the dependence polyhedron is:
397 | T1 and T2 the scattering dimensions for PDR1 and PDR2
398 | I1 and I2 the iteration domains
399 | S1 and S2 the subscripts
400 | G the global parameters. */
403 dependence_polyhedron_1 (poly_bb_p pbb1, poly_bb_p pbb2,
404 ppl_Pointset_Powerset_C_Polyhedron_t d1,
405 ppl_Pointset_Powerset_C_Polyhedron_t d2,
406 poly_dr_p pdr1, poly_dr_p pdr2,
407 ppl_Polyhedron_t s1, ppl_Polyhedron_t s2,
409 bool original_scattering_p)
411 scop_p scop = PBB_SCOP (pbb1);
412 graphite_dim_t tdim1 = original_scattering_p ?
413 pbb_nb_scattering_orig (pbb1) : pbb_nb_scattering_transform (pbb1);
414 graphite_dim_t tdim2 = original_scattering_p ?
415 pbb_nb_scattering_orig (pbb2) : pbb_nb_scattering_transform (pbb2);
416 graphite_dim_t ddim1 = pbb_dim_iter_domain (pbb1);
417 graphite_dim_t ddim2 = pbb_dim_iter_domain (pbb2);
418 graphite_dim_t sdim1 = PDR_NB_SUBSCRIPTS (pdr1) + 1;
419 graphite_dim_t gdim = scop_nb_params (scop);
420 graphite_dim_t dim1 = pdr_dim (pdr1);
421 graphite_dim_t dim2 = pdr_dim (pdr2);
422 graphite_dim_t dim = tdim1 + tdim2 + dim1 + dim2;
423 ppl_Pointset_Powerset_C_Polyhedron_t res;
424 ppl_Pointset_Powerset_C_Polyhedron_t id1, id2, isc1, isc2, idr1, idr2;
425 ppl_Pointset_Powerset_C_Polyhedron_t sc1, sc2, dreq;
426 ppl_Pointset_Powerset_C_Polyhedron_t context;
428 gcc_assert (PBB_SCOP (pbb1) == PBB_SCOP (pbb2));
430 ppl_new_Pointset_Powerset_C_Polyhedron_from_Pointset_Powerset_C_Polyhedron
431 (&context, SCOP_CONTEXT (scop));
432 ppl_insert_dimensions_pointset (context, 0, dim - gdim);
434 ppl_new_Pointset_Powerset_C_Polyhedron_from_C_Polyhedron (&sc1, s1);
435 ppl_new_Pointset_Powerset_C_Polyhedron_from_C_Polyhedron (&sc2, s2);
437 id1 = map_into_dep_poly (dim, gdim, d1, ddim1, tdim1);
438 id2 = map_into_dep_poly (dim, gdim, d2, ddim2, tdim1 + ddim1 + tdim2);
439 isc1 = map_into_dep_poly (dim, gdim, sc1, ddim1 + tdim1, 0);
440 isc2 = map_into_dep_poly (dim, gdim, sc2, ddim2 + tdim2, tdim1 + ddim1);
442 idr1 = map_dr_into_dep_poly (dim, PDR_ACCESSES (pdr1), ddim1, ddim1 + gdim,
443 tdim1, tdim2 + ddim2);
444 idr2 = map_dr_into_dep_poly (dim, PDR_ACCESSES (pdr2), ddim2, ddim2 + gdim,
445 tdim1 + ddim1 + tdim2, sdim1);
447 /* Now add the subscript equalities. */
448 dreq = dr_equality_constraints (dim, tdim1 + ddim1 + tdim2 + ddim2, sdim1);
450 ppl_new_Pointset_Powerset_C_Polyhedron_from_space_dimension (&res, dim, 0);
451 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (res, context);
452 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (res, id1);
453 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (res, id2);
454 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (res, isc1);
455 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (res, isc2);
456 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (res, idr1);
457 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (res, idr2);
458 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (res, dreq);
459 ppl_delete_Pointset_Powerset_C_Polyhedron (context);
460 ppl_delete_Pointset_Powerset_C_Polyhedron (id1);
461 ppl_delete_Pointset_Powerset_C_Polyhedron (id2);
462 ppl_delete_Pointset_Powerset_C_Polyhedron (sc1);
463 ppl_delete_Pointset_Powerset_C_Polyhedron (sc2);
464 ppl_delete_Pointset_Powerset_C_Polyhedron (isc1);
465 ppl_delete_Pointset_Powerset_C_Polyhedron (isc2);
466 ppl_delete_Pointset_Powerset_C_Polyhedron (idr1);
467 ppl_delete_Pointset_Powerset_C_Polyhedron (idr2);
468 ppl_delete_Pointset_Powerset_C_Polyhedron (dreq);
470 if (!ppl_Pointset_Powerset_C_Polyhedron_is_empty (res))
471 build_lexicographically_gt_constraint (&res, dim, MIN (tdim1, tdim2),
472 tdim1 + ddim1, direction);
474 return new_poly_ddr (pdr1, pdr2, res);
477 /* Build the dependence polyhedron for data references PDR1 and PDR2.
478 If possible use already cached information. */
481 dependence_polyhedron (poly_bb_p pbb1, poly_bb_p pbb2,
482 ppl_Pointset_Powerset_C_Polyhedron_t d1,
483 ppl_Pointset_Powerset_C_Polyhedron_t d2,
484 poly_dr_p pdr1, poly_dr_p pdr2,
485 ppl_Polyhedron_t s1, ppl_Polyhedron_t s2,
487 bool original_scattering_p)
492 if (original_scattering_p)
498 x = htab_find_slot (SCOP_ORIGINAL_PDDRS (PBB_SCOP (pbb1)),
502 return (poly_ddr_p) *x;
505 res = dependence_polyhedron_1 (pbb1, pbb2, d1, d2, pdr1, pdr2,
506 s1, s2, direction, original_scattering_p);
508 if (original_scattering_p)
515 poly_drs_may_alias_p (poly_dr_p pdr1, poly_dr_p pdr2);
517 /* Returns the PDDR corresponding to the original schedule, or NULL if
518 the dependence relation is empty or unknown (Can't judge dependency
519 under polyhedral model. */
522 pddr_original_scattering (poly_bb_p pbb1, poly_bb_p pbb2,
523 poly_dr_p pdr1, poly_dr_p pdr2)
526 ppl_Pointset_Powerset_C_Polyhedron_t d1 = PBB_DOMAIN (pbb1);
527 ppl_Pointset_Powerset_C_Polyhedron_t d2 = PBB_DOMAIN (pbb2);
528 ppl_Polyhedron_t so1 = PBB_ORIGINAL_SCATTERING (pbb1);
529 ppl_Polyhedron_t so2 = PBB_ORIGINAL_SCATTERING (pbb2);
531 if ((pdr_read_p (pdr1) && pdr_read_p (pdr2))
532 || PDR_BASE_OBJECT_SET (pdr1) != PDR_BASE_OBJECT_SET (pdr2)
533 || PDR_NB_SUBSCRIPTS (pdr1) != PDR_NB_SUBSCRIPTS (pdr2))
536 pddr = dependence_polyhedron (pbb1, pbb2, d1, d2, pdr1, pdr2, so1, so2,
538 if (pddr_is_empty (pddr))
544 /* Return true when the data dependence relation between the data
545 references PDR1 belonging to PBB1 and PDR2 is part of a
549 reduction_dr_1 (poly_bb_p pbb1, poly_dr_p pdr1, poly_dr_p pdr2)
554 for (i = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb1), i, pdr); i++)
555 if (PDR_TYPE (pdr) == PDR_WRITE)
558 return same_pdr_p (pdr, pdr1) && same_pdr_p (pdr, pdr2);
561 /* Return true when the data dependence relation between the data
562 references PDR1 belonging to PBB1 and PDR2 belonging to PBB2 is
563 part of a reduction. */
566 reduction_dr_p (poly_bb_p pbb1, poly_bb_p pbb2,
567 poly_dr_p pdr1, poly_dr_p pdr2)
569 if (PBB_IS_REDUCTION (pbb1))
570 return reduction_dr_1 (pbb1, pdr1, pdr2);
572 if (PBB_IS_REDUCTION (pbb2))
573 return reduction_dr_1 (pbb2, pdr2, pdr1);
578 /* Returns true when the PBB_TRANSFORMED_SCATTERING functions of PBB1
579 and PBB2 respect the data dependences of PBB_ORIGINAL_SCATTERING
583 graphite_legal_transform_dr (poly_bb_p pbb1, poly_bb_p pbb2,
584 poly_dr_p pdr1, poly_dr_p pdr2)
586 ppl_Polyhedron_t st1, st2;
587 ppl_Pointset_Powerset_C_Polyhedron_t po, pt;
588 graphite_dim_t ddim1, otdim1, otdim2, ttdim1, ttdim2;
589 ppl_Pointset_Powerset_C_Polyhedron_t temp;
590 ppl_dimension_type pdim;
593 ppl_Pointset_Powerset_C_Polyhedron_t d1 = PBB_DOMAIN (pbb1);
594 ppl_Pointset_Powerset_C_Polyhedron_t d2 = PBB_DOMAIN (pbb2);
596 if (reduction_dr_p (pbb1, pbb2, pdr1, pdr2))
599 pddr = pddr_original_scattering (pbb1, pbb2, pdr1, pdr2);
603 po = PDDR_DDP (pddr);
605 if (dump_file && (dump_flags & TDF_DETAILS))
606 fprintf (dump_file, "\nloop carries dependency.\n");
608 st1 = PBB_TRANSFORMED_SCATTERING (pbb1);
609 st2 = PBB_TRANSFORMED_SCATTERING (pbb2);
610 ddim1 = pbb_dim_iter_domain (pbb1);
611 otdim1 = pbb_nb_scattering_orig (pbb1);
612 otdim2 = pbb_nb_scattering_orig (pbb2);
613 ttdim1 = pbb_nb_scattering_transform (pbb1);
614 ttdim2 = pbb_nb_scattering_transform (pbb2);
616 /* Copy the PO polyhedron into the TEMP, so it is not destroyed.
617 Keep in mind, that PO polyhedron might be restored from the cache
618 and should not be modified! */
619 ppl_Pointset_Powerset_C_Polyhedron_space_dimension (po, &pdim);
620 ppl_new_Pointset_Powerset_C_Polyhedron_from_space_dimension (&temp, pdim, 0);
621 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (temp, po);
623 pddr = dependence_polyhedron (pbb1, pbb2, d1, d2, pdr1, pdr2, st1, st2,
625 pt = PDDR_DDP (pddr);
627 /* Extend PO and PT to have the same dimensions. */
628 ppl_insert_dimensions_pointset (temp, otdim1, ttdim1);
629 ppl_insert_dimensions_pointset (temp, otdim1 + ttdim1 + ddim1 + otdim2, ttdim2);
630 ppl_insert_dimensions_pointset (pt, 0, otdim1);
631 ppl_insert_dimensions_pointset (pt, otdim1 + ttdim1 + ddim1, otdim2);
633 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (temp, pt);
634 is_empty_p = ppl_Pointset_Powerset_C_Polyhedron_is_empty (temp);
636 ppl_delete_Pointset_Powerset_C_Polyhedron (temp);
637 free_poly_ddr (pddr);
642 /* Return true when the data dependence relation for PBB1 and PBB2 is
643 part of a reduction. */
646 reduction_ddr_p (poly_bb_p pbb1, poly_bb_p pbb2)
648 return pbb1 == pbb2 && PBB_IS_REDUCTION (pbb1);
651 /* Iterates over the data references of PBB1 and PBB2 and detect
652 whether the transformed schedule is correct. */
655 graphite_legal_transform_bb (poly_bb_p pbb1, poly_bb_p pbb2)
658 poly_dr_p pdr1, pdr2;
660 if (!PBB_PDR_DUPLICATES_REMOVED (pbb1))
661 pbb_remove_duplicate_pdrs (pbb1);
663 if (!PBB_PDR_DUPLICATES_REMOVED (pbb2))
664 pbb_remove_duplicate_pdrs (pbb2);
666 if (reduction_ddr_p (pbb1, pbb2))
669 for (i = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb1), i, pdr1); i++)
670 for (j = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb2), j, pdr2); j++)
671 if (!graphite_legal_transform_dr (pbb1, pbb2, pdr1, pdr2))
677 /* Iterates over the SCOP and detect whether the transformed schedule
681 graphite_legal_transform (scop_p scop)
684 poly_bb_p pbb1, pbb2;
686 timevar_push (TV_GRAPHITE_DATA_DEPS);
688 for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb1); i++)
689 for (j = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), j, pbb2); j++)
690 if (!graphite_legal_transform_bb (pbb1, pbb2))
692 timevar_pop (TV_GRAPHITE_DATA_DEPS);
696 timevar_pop (TV_GRAPHITE_DATA_DEPS);
700 /* Remove all the dimensions except alias information at dimension
704 build_alias_set_powerset (ppl_Pointset_Powerset_C_Polyhedron_t alias_powerset,
705 ppl_dimension_type alias_dim)
707 ppl_dimension_type *ds;
708 ppl_dimension_type access_dim;
711 ppl_Pointset_Powerset_C_Polyhedron_space_dimension (alias_powerset,
713 ds = XNEWVEC (ppl_dimension_type, access_dim-1);
714 for (i = 0; i < access_dim; i++)
723 ppl_Pointset_Powerset_C_Polyhedron_remove_space_dimensions (alias_powerset,
729 /* Return true when PDR1 and PDR2 may alias. */
732 poly_drs_may_alias_p (poly_dr_p pdr1, poly_dr_p pdr2)
734 ppl_Pointset_Powerset_C_Polyhedron_t alias_powerset1, alias_powerset2;
735 ppl_Pointset_Powerset_C_Polyhedron_t accesses1 = PDR_ACCESSES (pdr1);
736 ppl_Pointset_Powerset_C_Polyhedron_t accesses2 = PDR_ACCESSES (pdr2);
737 ppl_dimension_type alias_dim1 = pdr_alias_set_dim (pdr1);
738 ppl_dimension_type alias_dim2 = pdr_alias_set_dim (pdr2);
741 ppl_new_Pointset_Powerset_C_Polyhedron_from_Pointset_Powerset_C_Polyhedron
742 (&alias_powerset1, accesses1);
743 ppl_new_Pointset_Powerset_C_Polyhedron_from_Pointset_Powerset_C_Polyhedron
744 (&alias_powerset2, accesses2);
746 build_alias_set_powerset (alias_powerset1, alias_dim1);
747 build_alias_set_powerset (alias_powerset2, alias_dim2);
749 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign
750 (alias_powerset1, alias_powerset2);
752 empty_p = ppl_Pointset_Powerset_C_Polyhedron_is_empty (alias_powerset1);
754 ppl_delete_Pointset_Powerset_C_Polyhedron (alias_powerset1);
755 ppl_delete_Pointset_Powerset_C_Polyhedron (alias_powerset2);
760 /* Returns TRUE when the dependence polyhedron between PDR1 and
761 PDR2 represents a loop carried dependence at level LEVEL. */
764 graphite_carried_dependence_level_k (poly_dr_p pdr1, poly_dr_p pdr2,
767 poly_bb_p pbb1 = PDR_PBB (pdr1);
768 poly_bb_p pbb2 = PDR_PBB (pdr2);
769 ppl_Pointset_Powerset_C_Polyhedron_t d1 = PBB_DOMAIN (pbb1);
770 ppl_Pointset_Powerset_C_Polyhedron_t d2 = PBB_DOMAIN (pbb2);
771 ppl_Polyhedron_t so1 = PBB_TRANSFORMED_SCATTERING (pbb1);
772 ppl_Polyhedron_t so2 = PBB_TRANSFORMED_SCATTERING (pbb2);
773 ppl_Pointset_Powerset_C_Polyhedron_t po;
774 ppl_Pointset_Powerset_C_Polyhedron_t eqpp;
775 graphite_dim_t tdim1 = pbb_nb_scattering_transform (pbb1);
776 graphite_dim_t ddim1 = pbb_dim_iter_domain (pbb1);
777 ppl_dimension_type dim;
780 int obj_base_set1 = PDR_BASE_OBJECT_SET (pdr1);
781 int obj_base_set2 = PDR_BASE_OBJECT_SET (pdr2);
783 if ((pdr_read_p (pdr1) && pdr_read_p (pdr2))
784 || !poly_drs_may_alias_p (pdr1, pdr2))
787 if (obj_base_set1 != obj_base_set2)
790 if (PDR_NB_SUBSCRIPTS (pdr1) != PDR_NB_SUBSCRIPTS (pdr2))
793 pddr = dependence_polyhedron (pbb1, pbb2, d1, d2, pdr1, pdr2, so1, so2,
796 if (pddr_is_empty (pddr))
799 po = PDDR_DDP (pddr);
800 ppl_Pointset_Powerset_C_Polyhedron_space_dimension (po, &dim);
801 eqpp = build_pairwise_scheduling_inequality (dim, level, tdim1 + ddim1, 1);
803 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (eqpp, po);
804 empty_p = ppl_Pointset_Powerset_C_Polyhedron_is_empty (eqpp);
806 ppl_delete_Pointset_Powerset_C_Polyhedron (eqpp);
810 /* Check data dependency between PBB1 and PBB2 at level LEVEL. */
813 dependency_between_pbbs_p (poly_bb_p pbb1, poly_bb_p pbb2, int level)
816 poly_dr_p pdr1, pdr2;
818 timevar_push (TV_GRAPHITE_DATA_DEPS);
820 for (i = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb1), i, pdr1); i++)
821 for (j = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb2), j, pdr2); j++)
822 if (graphite_carried_dependence_level_k (pdr1, pdr2, level))
824 timevar_pop (TV_GRAPHITE_DATA_DEPS);
828 timevar_pop (TV_GRAPHITE_DATA_DEPS);
832 /* Pretty print to FILE all the data dependences of SCoP in DOT
836 dot_deps_stmt_1 (FILE *file, scop_p scop)
839 poly_bb_p pbb1, pbb2;
840 poly_dr_p pdr1, pdr2;
842 fputs ("digraph all {\n", file);
844 for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb1); i++)
845 for (j = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), j, pbb2); j++)
847 for (k = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb1), k, pdr1); k++)
848 for (l = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb2), l, pdr2); l++)
849 if (pddr_original_scattering (pbb1, pbb2, pdr1, pdr2))
851 fprintf (file, "S%d -> S%d\n",
852 pbb_index (pbb1), pbb_index (pbb2));
858 fputs ("}\n\n", file);
861 /* Pretty print to FILE all the data dependences of SCoP in DOT
865 dot_deps_1 (FILE *file, scop_p scop)
868 poly_bb_p pbb1, pbb2;
869 poly_dr_p pdr1, pdr2;
871 fputs ("digraph all {\n", file);
873 for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb1); i++)
874 for (j = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), j, pbb2); j++)
875 for (k = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb1), k, pdr1); k++)
876 for (l = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb2), l, pdr2); l++)
877 if (pddr_original_scattering (pbb1, pbb2, pdr1, pdr2))
878 fprintf (file, "S%d_D%d -> S%d_D%d\n",
879 pbb_index (pbb1), PDR_ID (pdr1),
880 pbb_index (pbb2), PDR_ID (pdr2));
882 fputs ("}\n\n", file);
885 /* Display all the data dependences in SCoP using dotty. */
888 dot_deps (scop_p scop)
890 /* When debugging, enable the following code. This cannot be used
891 in production compilers because it calls "system". */
894 FILE *stream = fopen ("/tmp/scopdeps.dot", "w");
897 dot_deps_1 (stream, scop);
900 x = system ("dotty /tmp/scopdeps.dot");
902 dot_deps_1 (stderr, scop);
906 /* Display all the statement dependences in SCoP using dotty. */
909 dot_deps_stmt (scop_p scop)
911 /* When debugging, enable the following code. This cannot be used
912 in production compilers because it calls "system". */
915 FILE *stream = fopen ("/tmp/scopdeps.dot", "w");
918 dot_deps_stmt_1 (stream, scop);
921 x = system ("dotty /tmp/scopdeps.dot");
923 dot_deps_stmt_1 (stderr, scop);