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. When
55 the Data Dependence Polyhedron DDP is not NULL or not empty, SOURCE
56 and SINK are in dependence as described by DDP. */
59 new_poly_ddr (poly_dr_p source, poly_dr_p sink,
60 ppl_Pointset_Powerset_C_Polyhedron_t ddp,
61 bool original_scattering_p)
63 poly_ddr_p pddr = XNEW (struct poly_ddr);
65 PDDR_SOURCE (pddr) = source;
66 PDDR_SINK (pddr) = sink;
67 PDDR_DDP (pddr) = ddp;
68 PDDR_ORIGINAL_SCATTERING_P (pddr) = original_scattering_p;
70 if (!ddp || ppl_Pointset_Powerset_C_Polyhedron_is_empty (ddp))
71 PDDR_KIND (pddr) = no_dependence;
73 PDDR_KIND (pddr) = has_dependence;
78 /* Free the poly_ddr_p P. */
81 free_poly_ddr (void *p)
83 poly_ddr_p pddr = (poly_ddr_p) p;
84 ppl_delete_Pointset_Powerset_C_Polyhedron (PDDR_DDP (pddr));
88 /* Comparison function for poly_ddr hash table. */
91 eq_poly_ddr_p (const void *pddr1, const void *pddr2)
93 const struct poly_ddr *p1 = (const struct poly_ddr *) pddr1;
94 const struct poly_ddr *p2 = (const struct poly_ddr *) pddr2;
96 return (PDDR_SOURCE (p1) == PDDR_SOURCE (p2)
97 && PDDR_SINK (p1) == PDDR_SINK (p2));
100 /* Hash function for poly_ddr hashtable. */
103 hash_poly_ddr_p (const void *pddr)
105 const struct poly_ddr *p = (const struct poly_ddr *) pddr;
107 return (hashval_t) ((long) PDDR_SOURCE (p) + (long) PDDR_SINK (p));
110 /* Returns true when PDDR has no dependence. */
113 pddr_is_empty (poly_ddr_p pddr)
118 gcc_assert (PDDR_KIND (pddr) != unknown_dependence);
120 return PDDR_KIND (pddr) == no_dependence ? true : false;
123 /* Prints to FILE the layout of the dependence polyhedron of PDDR:
128 | T1 and T2 the scattering dimensions for PDDR_SOURCE and PDDR_SINK
129 | I1 and I2 the iteration domains
130 | S1 and S2 the subscripts
131 | G the global parameters. */
134 print_dependence_polyhedron_layout (FILE *file, poly_ddr_p pddr)
136 poly_dr_p pdr1 = PDDR_SOURCE (pddr);
137 poly_dr_p pdr2 = PDDR_SINK (pddr);
138 poly_bb_p pbb1 = PDR_PBB (pdr1);
139 poly_bb_p pbb2 = PDR_PBB (pdr2);
142 graphite_dim_t tdim1 = PDDR_ORIGINAL_SCATTERING_P (pddr) ?
143 pbb_nb_scattering_orig (pbb1) : pbb_nb_scattering_transform (pbb1);
144 graphite_dim_t tdim2 = PDDR_ORIGINAL_SCATTERING_P (pddr) ?
145 pbb_nb_scattering_orig (pbb2) : pbb_nb_scattering_transform (pbb2);
146 graphite_dim_t idim1 = pbb_dim_iter_domain (pbb1);
147 graphite_dim_t idim2 = pbb_dim_iter_domain (pbb2);
148 graphite_dim_t sdim1 = PDR_NB_SUBSCRIPTS (pdr1) + 1;
149 graphite_dim_t sdim2 = PDR_NB_SUBSCRIPTS (pdr2) + 1;
150 graphite_dim_t gdim = scop_nb_params (PBB_SCOP (pbb1));
152 fprintf (file, "# eq");
154 for (i = 0; i < tdim1; i++)
155 fprintf (file, " t1_%d", (int) i);
156 for (i = 0; i < idim1; i++)
157 fprintf (file, " i1_%d", (int) i);
158 for (i = 0; i < tdim2; i++)
159 fprintf (file, " t2_%d", (int) i);
160 for (i = 0; i < idim2; i++)
161 fprintf (file, " i2_%d", (int) i);
162 for (i = 0; i < sdim1; i++)
163 fprintf (file, " s1_%d", (int) i);
164 for (i = 0; i < sdim2; i++)
165 fprintf (file, " s2_%d", (int) i);
166 for (i = 0; i < gdim; i++)
167 fprintf (file, " g_%d", (int) i);
169 fprintf (file, " cst\n");
172 /* Prints to FILE the poly_ddr_p PDDR. */
175 print_pddr (FILE *file, poly_ddr_p pddr)
177 fprintf (file, "pddr (kind: ");
179 if (PDDR_KIND (pddr) == unknown_dependence)
180 fprintf (file, "unknown_dependence");
181 else if (PDDR_KIND (pddr) == no_dependence)
182 fprintf (file, "no_dependence");
183 else if (PDDR_KIND (pddr) == has_dependence)
184 fprintf (file, "has_dependence");
186 fprintf (file, "\n source ");
187 print_pdr (file, PDDR_SOURCE (pddr));
189 fprintf (file, "\n sink ");
190 print_pdr (file, PDDR_SINK (pddr));
192 if (PDDR_KIND (pddr) == has_dependence)
194 fprintf (file, "\n dependence polyhedron (\n");
195 print_dependence_polyhedron_layout (file, pddr);
196 ppl_print_powerset_matrix (file, PDDR_DDP (pddr));
197 fprintf (file, ")\n");
200 fprintf (file, ")\n");
203 /* Prints to STDERR the poly_ddr_p PDDR. */
206 debug_pddr (poly_ddr_p pddr)
208 print_pddr (stderr, pddr);
212 /* Remove all the dimensions except alias information at dimension
216 build_alias_set_powerset (ppl_Pointset_Powerset_C_Polyhedron_t alias_powerset,
217 ppl_dimension_type alias_dim)
219 ppl_dimension_type *ds;
220 ppl_dimension_type access_dim;
223 ppl_Pointset_Powerset_C_Polyhedron_space_dimension (alias_powerset,
225 ds = XNEWVEC (ppl_dimension_type, access_dim-1);
226 for (i = 0; i < access_dim; i++)
235 ppl_Pointset_Powerset_C_Polyhedron_remove_space_dimensions (alias_powerset,
241 /* Return true when PDR1 and PDR2 may alias. */
244 poly_drs_may_alias_p (poly_dr_p pdr1, poly_dr_p pdr2)
246 ppl_Pointset_Powerset_C_Polyhedron_t alias_powerset1, alias_powerset2;
247 ppl_Pointset_Powerset_C_Polyhedron_t accesses1 = PDR_ACCESSES (pdr1);
248 ppl_Pointset_Powerset_C_Polyhedron_t accesses2 = PDR_ACCESSES (pdr2);
249 ppl_dimension_type alias_dim1 = pdr_alias_set_dim (pdr1);
250 ppl_dimension_type alias_dim2 = pdr_alias_set_dim (pdr2);
253 ppl_new_Pointset_Powerset_C_Polyhedron_from_Pointset_Powerset_C_Polyhedron
254 (&alias_powerset1, accesses1);
255 ppl_new_Pointset_Powerset_C_Polyhedron_from_Pointset_Powerset_C_Polyhedron
256 (&alias_powerset2, accesses2);
258 build_alias_set_powerset (alias_powerset1, alias_dim1);
259 build_alias_set_powerset (alias_powerset2, alias_dim2);
261 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign
262 (alias_powerset1, alias_powerset2);
264 empty_p = ppl_Pointset_Powerset_C_Polyhedron_is_empty (alias_powerset1);
266 ppl_delete_Pointset_Powerset_C_Polyhedron (alias_powerset1);
267 ppl_delete_Pointset_Powerset_C_Polyhedron (alias_powerset2);
272 /* Returns a polyhedron of dimension DIM.
274 Maps the dimensions [0, ..., cut - 1] of polyhedron P to OFFSET
275 and the dimensions [cut, ..., nb_dim] to DIM - GDIM. */
277 static ppl_Pointset_Powerset_C_Polyhedron_t
278 map_into_dep_poly (graphite_dim_t dim, graphite_dim_t gdim,
279 ppl_Pointset_Powerset_C_Polyhedron_t p,
281 graphite_dim_t offset)
283 ppl_Pointset_Powerset_C_Polyhedron_t res;
285 ppl_new_Pointset_Powerset_C_Polyhedron_from_Pointset_Powerset_C_Polyhedron
287 ppl_insert_dimensions_pointset (res, 0, offset);
288 ppl_insert_dimensions_pointset (res, offset + cut,
289 dim - offset - cut - gdim);
294 /* Swap [cut0, ..., cut1] to the end of DR: "a CUT0 b CUT1 c" is
295 transformed into "a CUT0 c CUT1' b"
297 Add NB0 zeros before "a": "00...0 a CUT0 c CUT1' b"
298 Add NB1 zeros between "a" and "c": "00...0 a 00...0 c CUT1' b"
299 Add DIM - NB0 - NB1 - PDIM zeros between "c" and "b":
300 "00...0 a 00...0 c 00...0 b". */
302 static ppl_Pointset_Powerset_C_Polyhedron_t
303 map_dr_into_dep_poly (graphite_dim_t dim,
304 ppl_Pointset_Powerset_C_Polyhedron_t dr,
305 graphite_dim_t cut0, graphite_dim_t cut1,
306 graphite_dim_t nb0, graphite_dim_t nb1)
308 ppl_dimension_type pdim;
309 ppl_dimension_type *map;
310 ppl_Pointset_Powerset_C_Polyhedron_t res;
311 ppl_dimension_type i;
313 ppl_new_Pointset_Powerset_C_Polyhedron_from_Pointset_Powerset_C_Polyhedron
315 ppl_Pointset_Powerset_C_Polyhedron_space_dimension (res, &pdim);
317 map = (ppl_dimension_type *) XNEWVEC (ppl_dimension_type, pdim);
319 /* First mapping: move 'g' vector to right position. */
320 for (i = 0; i < cut0; i++)
323 for (i = cut0; i < cut1; i++)
324 map[i] = pdim - cut1 + i;
326 for (i = cut1; i < pdim; i++)
327 map[i] = cut0 + i - cut1;
329 ppl_Pointset_Powerset_C_Polyhedron_map_space_dimensions (res, map, pdim);
332 /* After swapping 's' and 'g' vectors, we have to update a new cut. */
333 cut1 = pdim - cut1 + cut0;
335 ppl_insert_dimensions_pointset (res, 0, nb0);
336 ppl_insert_dimensions_pointset (res, nb0 + cut0, nb1);
337 ppl_insert_dimensions_pointset (res, nb0 + nb1 + cut1,
338 dim - nb0 - nb1 - pdim);
343 /* Builds subscript equality constraints. */
345 static ppl_Pointset_Powerset_C_Polyhedron_t
346 dr_equality_constraints (graphite_dim_t dim,
347 graphite_dim_t pos, graphite_dim_t nb_subscripts)
349 ppl_Polyhedron_t eqs;
350 ppl_Pointset_Powerset_C_Polyhedron_t res;
353 ppl_new_C_Polyhedron_from_space_dimension (&eqs, dim, 0);
355 for (i = 0; i < nb_subscripts; i++)
357 ppl_Constraint_t cstr
358 = ppl_build_relation (dim, pos + i, pos + i + nb_subscripts,
359 0, PPL_CONSTRAINT_TYPE_EQUAL);
360 ppl_Polyhedron_add_constraint (eqs, cstr);
361 ppl_delete_Constraint (cstr);
364 ppl_new_Pointset_Powerset_C_Polyhedron_from_C_Polyhedron (&res, eqs);
365 ppl_delete_Polyhedron (eqs);
369 /* Builds scheduling inequality constraints: when DIRECTION is
370 1 builds a GE constraint,
371 0 builds an EQ constraint,
372 -1 builds a LE constraint. */
374 static ppl_Pointset_Powerset_C_Polyhedron_t
375 build_pairwise_scheduling (graphite_dim_t dim,
377 graphite_dim_t offset,
380 ppl_Pointset_Powerset_C_Polyhedron_t res;
381 ppl_Polyhedron_t equalities;
382 ppl_Constraint_t cstr;
384 ppl_new_C_Polyhedron_from_space_dimension (&equalities, dim, 0);
389 cstr = ppl_build_relation (dim, pos, pos + offset, 1,
390 PPL_CONSTRAINT_TYPE_LESS_OR_EQUAL);
394 cstr = ppl_build_relation (dim, pos, pos + offset, 0,
395 PPL_CONSTRAINT_TYPE_EQUAL);
399 cstr = ppl_build_relation (dim, pos, pos + offset, -1,
400 PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL);
407 ppl_Polyhedron_add_constraint (equalities, cstr);
408 ppl_delete_Constraint (cstr);
410 ppl_new_Pointset_Powerset_C_Polyhedron_from_C_Polyhedron (&res, equalities);
411 ppl_delete_Polyhedron (equalities);
415 /* Add to a non empty polyhedron BAG the precedence constraints for
416 the lexicographical comparison of time vectors in BAG following the
417 lexicographical order. DIM is the dimension of the polyhedron BAG.
418 TDIM is the number of loops common to the two statements that are
419 compared lexicographically, i.e. the number of loops containing
420 both statements. OFFSET is the number of dimensions needed to
421 represent the first statement, i.e. dimT1 + dimI1 in the layout of
422 the BAG polyhedron: T1|I1|T2|I2|S1|S2|G. When DIRECTION is set to
423 1, compute the direct dependence from PDR1 to PDR2, and when
424 DIRECTION is -1, compute the reversed dependence relation, from
427 static ppl_Pointset_Powerset_C_Polyhedron_t
428 build_lexicographical_constraint (ppl_Pointset_Powerset_C_Polyhedron_t bag,
431 graphite_dim_t offset,
435 ppl_Pointset_Powerset_C_Polyhedron_t res, lex;
437 ppl_new_Pointset_Powerset_C_Polyhedron_from_space_dimension (&res, dim, 1);
439 lex = build_pairwise_scheduling (dim, 0, offset, direction);
440 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (lex, bag);
442 if (!ppl_Pointset_Powerset_C_Polyhedron_is_empty (lex))
443 ppl_Pointset_Powerset_C_Polyhedron_upper_bound_assign (res, lex);
445 ppl_delete_Pointset_Powerset_C_Polyhedron (lex);
447 for (i = 0; i < tdim - 1; i++)
449 ppl_Pointset_Powerset_C_Polyhedron_t sceq;
451 sceq = build_pairwise_scheduling (dim, i, offset, 0);
452 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (bag, sceq);
453 ppl_delete_Pointset_Powerset_C_Polyhedron (sceq);
455 lex = build_pairwise_scheduling (dim, i + 1, offset, direction);
456 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (lex, bag);
458 if (!ppl_Pointset_Powerset_C_Polyhedron_is_empty (lex))
459 ppl_Pointset_Powerset_C_Polyhedron_upper_bound_assign (res, lex);
461 ppl_delete_Pointset_Powerset_C_Polyhedron (lex);
467 /* Build the dependence polyhedron for data references PDR1 and PDR2.
468 The layout of the dependence polyhedron is:
473 | T1 and T2 the scattering dimensions for PDR1 and PDR2
474 | I1 and I2 the iteration domains
475 | S1 and S2 the subscripts
476 | G the global parameters.
478 When DIRECTION is set to 1, compute the direct dependence from PDR1
479 to PDR2, and when DIRECTION is -1, compute the reversed dependence
480 relation, from PDR2 to PDR1. */
482 static ppl_Pointset_Powerset_C_Polyhedron_t
483 dependence_polyhedron_1 (poly_dr_p pdr1, poly_dr_p pdr2,
484 int direction, bool original_scattering_p)
486 poly_bb_p pbb1 = PDR_PBB (pdr1);
487 poly_bb_p pbb2 = PDR_PBB (pdr2);
488 scop_p scop = PBB_SCOP (pbb1);
489 ppl_Pointset_Powerset_C_Polyhedron_t d1 = PBB_DOMAIN (pbb1);
490 ppl_Pointset_Powerset_C_Polyhedron_t d2 = PBB_DOMAIN (pbb2);
491 graphite_dim_t tdim1 = original_scattering_p ?
492 pbb_nb_scattering_orig (pbb1) : pbb_nb_scattering_transform (pbb1);
493 graphite_dim_t tdim2 = original_scattering_p ?
494 pbb_nb_scattering_orig (pbb2) : pbb_nb_scattering_transform (pbb2);
495 ppl_Polyhedron_t scat1 = original_scattering_p ?
496 PBB_ORIGINAL_SCATTERING (pbb1) : PBB_TRANSFORMED_SCATTERING (pbb1);
497 ppl_Polyhedron_t scat2 = original_scattering_p ?
498 PBB_ORIGINAL_SCATTERING (pbb2) : PBB_TRANSFORMED_SCATTERING (pbb2);
499 graphite_dim_t ddim1 = pbb_dim_iter_domain (pbb1);
500 graphite_dim_t ddim2 = pbb_dim_iter_domain (pbb2);
501 graphite_dim_t sdim1 = PDR_NB_SUBSCRIPTS (pdr1) + 1;
502 graphite_dim_t gdim = scop_nb_params (scop);
503 graphite_dim_t dim1 = pdr_dim (pdr1);
504 graphite_dim_t dim2 = pdr_dim (pdr2);
505 graphite_dim_t dim = tdim1 + tdim2 + dim1 + dim2 - gdim;
506 ppl_Pointset_Powerset_C_Polyhedron_t res;
507 ppl_Pointset_Powerset_C_Polyhedron_t id1, id2, isc1, isc2, idr1, idr2;
508 ppl_Pointset_Powerset_C_Polyhedron_t sc1, sc2, dreq;
509 ppl_Pointset_Powerset_C_Polyhedron_t context;
511 gcc_assert (PBB_SCOP (pbb1) == PBB_SCOP (pbb2));
513 ppl_new_Pointset_Powerset_C_Polyhedron_from_Pointset_Powerset_C_Polyhedron
514 (&context, SCOP_CONTEXT (scop));
515 ppl_insert_dimensions_pointset (context, 0, dim - gdim);
517 ppl_new_Pointset_Powerset_C_Polyhedron_from_C_Polyhedron (&sc1, scat1);
518 ppl_new_Pointset_Powerset_C_Polyhedron_from_C_Polyhedron (&sc2, scat2);
520 id1 = map_into_dep_poly (dim, gdim, d1, ddim1, tdim1);
521 id2 = map_into_dep_poly (dim, gdim, d2, ddim2, tdim1 + ddim1 + tdim2);
522 isc1 = map_into_dep_poly (dim, gdim, sc1, ddim1 + tdim1, 0);
523 isc2 = map_into_dep_poly (dim, gdim, sc2, ddim2 + tdim2, tdim1 + ddim1);
525 idr1 = map_dr_into_dep_poly (dim, PDR_ACCESSES (pdr1), ddim1, ddim1 + gdim,
526 tdim1, tdim2 + ddim2);
527 idr2 = map_dr_into_dep_poly (dim, PDR_ACCESSES (pdr2), ddim2, ddim2 + gdim,
528 tdim1 + ddim1 + tdim2, sdim1);
530 /* Now add the subscript equalities. */
531 dreq = dr_equality_constraints (dim, tdim1 + ddim1 + tdim2 + ddim2, sdim1);
533 ppl_new_Pointset_Powerset_C_Polyhedron_from_space_dimension (&res, dim, 0);
534 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (res, context);
535 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (res, id1);
536 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (res, id2);
537 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (res, isc1);
538 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (res, isc2);
539 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (res, idr1);
540 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (res, idr2);
541 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (res, dreq);
542 ppl_delete_Pointset_Powerset_C_Polyhedron (context);
543 ppl_delete_Pointset_Powerset_C_Polyhedron (id1);
544 ppl_delete_Pointset_Powerset_C_Polyhedron (id2);
545 ppl_delete_Pointset_Powerset_C_Polyhedron (sc1);
546 ppl_delete_Pointset_Powerset_C_Polyhedron (sc2);
547 ppl_delete_Pointset_Powerset_C_Polyhedron (isc1);
548 ppl_delete_Pointset_Powerset_C_Polyhedron (isc2);
549 ppl_delete_Pointset_Powerset_C_Polyhedron (idr1);
550 ppl_delete_Pointset_Powerset_C_Polyhedron (idr2);
551 ppl_delete_Pointset_Powerset_C_Polyhedron (dreq);
553 if (!ppl_Pointset_Powerset_C_Polyhedron_is_empty (res))
555 ppl_Pointset_Powerset_C_Polyhedron_t lex =
556 build_lexicographical_constraint (res, dim, MIN (tdim1, tdim2),
557 tdim1 + ddim1, direction);
558 ppl_delete_Pointset_Powerset_C_Polyhedron (res);
565 /* Build the dependence polyhedron for data references PDR1 and PDR2.
566 If possible use already cached information.
568 When DIRECTION is set to 1, compute the direct dependence from PDR1
569 to PDR2, and when DIRECTION is -1, compute the reversed dependence
570 relation, from PDR2 to PDR1. */
573 dependence_polyhedron (poly_dr_p pdr1, poly_dr_p pdr2,
574 int direction, bool original_scattering_p)
578 ppl_Pointset_Powerset_C_Polyhedron_t ddp;
580 /* Return the PDDR from the cache if it already has been computed. */
581 if (original_scattering_p)
584 scop_p scop = PBB_SCOP (PDR_PBB (pdr1));
588 x = htab_find_slot (SCOP_ORIGINAL_PDDRS (scop),
592 return (poly_ddr_p) *x;
595 if ((pdr_read_p (pdr1) && pdr_read_p (pdr2))
596 || PDR_BASE_OBJECT_SET (pdr1) != PDR_BASE_OBJECT_SET (pdr2)
597 || PDR_NB_SUBSCRIPTS (pdr1) != PDR_NB_SUBSCRIPTS (pdr2)
598 || !poly_drs_may_alias_p (pdr1, pdr2))
601 ddp = dependence_polyhedron_1 (pdr1, pdr2, direction,
602 original_scattering_p);
604 res = new_poly_ddr (pdr1, pdr2, ddp, original_scattering_p);
606 if (original_scattering_p)
612 /* Return true when the data dependence relation between the data
613 references PDR1 belonging to PBB1 and PDR2 is part of a
617 reduction_dr_1 (poly_bb_p pbb1, poly_dr_p pdr1, poly_dr_p pdr2)
622 for (i = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb1), i, pdr); i++)
623 if (PDR_TYPE (pdr) == PDR_WRITE)
626 return same_pdr_p (pdr, pdr1) && same_pdr_p (pdr, pdr2);
629 /* Return true when the data dependence relation between the data
630 references PDR1 belonging to PBB1 and PDR2 belonging to PBB2 is
631 part of a reduction. */
634 reduction_dr_p (poly_dr_p pdr1, poly_dr_p pdr2)
636 poly_bb_p pbb1 = PDR_PBB (pdr1);
637 poly_bb_p pbb2 = PDR_PBB (pdr2);
639 if (PBB_IS_REDUCTION (pbb1))
640 return reduction_dr_1 (pbb1, pdr1, pdr2);
642 if (PBB_IS_REDUCTION (pbb2))
643 return reduction_dr_1 (pbb2, pdr2, pdr1);
648 /* Returns true when the PBB_TRANSFORMED_SCATTERING functions of PBB1
649 and PBB2 respect the data dependences of PBB_ORIGINAL_SCATTERING
653 graphite_legal_transform_dr (poly_dr_p pdr1, poly_dr_p pdr2)
655 ppl_Pointset_Powerset_C_Polyhedron_t po, pt;
656 graphite_dim_t ddim1, otdim1, otdim2, ttdim1, ttdim2;
657 ppl_Pointset_Powerset_C_Polyhedron_t po_temp;
658 ppl_dimension_type pdim;
660 poly_ddr_p opddr, tpddr;
661 poly_bb_p pbb1, pbb2;
663 if (reduction_dr_p (pdr1, pdr2))
666 /* We build the reverse dependence relation for the transformed
667 scattering, such that when we intersect it with the original PO,
668 we get an empty intersection when the transform is legal:
669 i.e. the transform should reverse no dependences, and so PT, the
670 reversed transformed PDDR, should have no constraint from PO. */
671 opddr = dependence_polyhedron (pdr1, pdr2, 1, true);
672 tpddr = dependence_polyhedron (pdr1, pdr2, -1, false);
674 /* There are no dependences between PDR1 and PDR2 in the original
675 version of the program, or after the transform, so the
676 transform is legal. */
677 if (pddr_is_empty (opddr))
680 if (pddr_is_empty (tpddr))
682 free_poly_ddr (tpddr);
686 po = PDDR_DDP (opddr);
687 pt = PDDR_DDP (tpddr);
689 /* Copy PO into PO_TEMP, such that PO is not destroyed. PO is
690 stored in a cache and should not be modified or freed. */
691 ppl_Pointset_Powerset_C_Polyhedron_space_dimension (po, &pdim);
692 ppl_new_Pointset_Powerset_C_Polyhedron_from_space_dimension (&po_temp,
694 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (po_temp, po);
696 /* Extend PO and PT to have the same dimensions. */
697 pbb1 = PDR_PBB (pdr1);
698 pbb2 = PDR_PBB (pdr2);
699 ddim1 = pbb_dim_iter_domain (pbb1);
700 otdim1 = pbb_nb_scattering_orig (pbb1);
701 otdim2 = pbb_nb_scattering_orig (pbb2);
702 ttdim1 = pbb_nb_scattering_transform (pbb1);
703 ttdim2 = pbb_nb_scattering_transform (pbb2);
704 ppl_insert_dimensions_pointset (po_temp, otdim1, ttdim1);
705 ppl_insert_dimensions_pointset (po_temp, otdim1 + ttdim1 + ddim1 + otdim2,
707 ppl_insert_dimensions_pointset (pt, 0, otdim1);
708 ppl_insert_dimensions_pointset (pt, otdim1 + ttdim1 + ddim1, otdim2);
710 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (po_temp, pt);
711 is_empty_p = ppl_Pointset_Powerset_C_Polyhedron_is_empty (po_temp);
713 ppl_delete_Pointset_Powerset_C_Polyhedron (po_temp);
714 free_poly_ddr (tpddr);
716 if (dump_file && (dump_flags & TDF_DETAILS))
717 fprintf (dump_file, "\nloop carries dependency.\n");
722 /* Return true when the data dependence relation for PBB1 and PBB2 is
723 part of a reduction. */
726 reduction_ddr_p (poly_bb_p pbb1, poly_bb_p pbb2)
728 return pbb1 == pbb2 && PBB_IS_REDUCTION (pbb1);
731 /* Iterates over the data references of PBB1 and PBB2 and detect
732 whether the transformed schedule is correct. */
735 graphite_legal_transform_bb (poly_bb_p pbb1, poly_bb_p pbb2)
738 poly_dr_p pdr1, pdr2;
740 if (!PBB_PDR_DUPLICATES_REMOVED (pbb1))
741 pbb_remove_duplicate_pdrs (pbb1);
743 if (!PBB_PDR_DUPLICATES_REMOVED (pbb2))
744 pbb_remove_duplicate_pdrs (pbb2);
746 if (reduction_ddr_p (pbb1, pbb2))
749 for (i = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb1), i, pdr1); i++)
750 for (j = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb2), j, pdr2); j++)
751 if (!graphite_legal_transform_dr (pdr1, pdr2))
757 /* Iterates over the SCOP and detect whether the transformed schedule
761 graphite_legal_transform (scop_p scop)
764 poly_bb_p pbb1, pbb2;
766 timevar_push (TV_GRAPHITE_DATA_DEPS);
768 for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb1); i++)
769 for (j = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), j, pbb2); j++)
770 if (!graphite_legal_transform_bb (pbb1, pbb2))
772 timevar_pop (TV_GRAPHITE_DATA_DEPS);
776 timevar_pop (TV_GRAPHITE_DATA_DEPS);
780 /* Returns TRUE when the dependence polyhedron between PDR1 and
781 PDR2 represents a loop carried dependence at level LEVEL. */
784 graphite_carried_dependence_level_k (poly_dr_p pdr1, poly_dr_p pdr2,
787 ppl_Pointset_Powerset_C_Polyhedron_t po;
788 ppl_Pointset_Powerset_C_Polyhedron_t eqpp;
789 graphite_dim_t tdim1 = pbb_nb_scattering_transform (PDR_PBB (pdr1));
790 graphite_dim_t ddim1 = pbb_dim_iter_domain (PDR_PBB (pdr1));
791 ppl_dimension_type dim;
793 poly_ddr_p pddr = dependence_polyhedron (pdr1, pdr2, 1, false);
795 if (pddr_is_empty (pddr))
797 free_poly_ddr (pddr);
801 po = PDDR_DDP (pddr);
802 ppl_Pointset_Powerset_C_Polyhedron_space_dimension (po, &dim);
803 eqpp = build_pairwise_scheduling (dim, level, tdim1 + ddim1, 1);
805 ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (eqpp, po);
806 empty_p = ppl_Pointset_Powerset_C_Polyhedron_is_empty (eqpp);
808 ppl_delete_Pointset_Powerset_C_Polyhedron (eqpp);
809 free_poly_ddr (pddr);
814 /* Check data dependency between PBB1 and PBB2 at level LEVEL. */
817 dependency_between_pbbs_p (poly_bb_p pbb1, poly_bb_p pbb2, int level)
820 poly_dr_p pdr1, pdr2;
822 timevar_push (TV_GRAPHITE_DATA_DEPS);
824 for (i = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb1), i, pdr1); i++)
825 for (j = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb2), j, pdr2); j++)
826 if (graphite_carried_dependence_level_k (pdr1, pdr2, level))
828 timevar_pop (TV_GRAPHITE_DATA_DEPS);
832 timevar_pop (TV_GRAPHITE_DATA_DEPS);
836 /* Pretty print to FILE all the original data dependences of SCoP in
840 dot_original_deps_stmt_1 (FILE *file, scop_p scop)
843 poly_bb_p pbb1, pbb2;
844 poly_dr_p pdr1, pdr2;
846 for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb1); i++)
847 for (j = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), j, pbb2); j++)
849 for (k = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb1), k, pdr1); k++)
850 for (l = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb2), l, pdr2); l++)
851 if (!pddr_is_empty (dependence_polyhedron (pdr1, pdr2, 1, true)))
853 fprintf (file, "OS%d -> OS%d\n",
854 pbb_index (pbb1), pbb_index (pbb2));
861 /* Pretty print to FILE all the transformed data dependences of SCoP in
865 dot_transformed_deps_stmt_1 (FILE *file, scop_p scop)
868 poly_bb_p pbb1, pbb2;
869 poly_dr_p pdr1, pdr2;
871 for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb1); i++)
872 for (j = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), j, pbb2); j++)
874 for (k = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb1), k, pdr1); k++)
875 for (l = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb2), l, pdr2); l++)
877 poly_ddr_p pddr = dependence_polyhedron (pdr1, pdr2, 1, false);
879 if (!pddr_is_empty (pddr))
881 fprintf (file, "TS%d -> TS%d\n",
882 pbb_index (pbb1), pbb_index (pbb2));
884 free_poly_ddr (pddr);
888 free_poly_ddr (pddr);
895 /* Pretty print to FILE all the data dependences of SCoP in DOT
899 dot_deps_stmt_1 (FILE *file, scop_p scop)
901 fputs ("digraph all {\n", file);
903 dot_original_deps_stmt_1 (file, scop);
904 dot_transformed_deps_stmt_1 (file, scop);
906 fputs ("}\n\n", file);
909 /* Pretty print to FILE all the original data dependences of SCoP in
913 dot_original_deps (FILE *file, scop_p scop)
916 poly_bb_p pbb1, pbb2;
917 poly_dr_p pdr1, pdr2;
919 for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb1); i++)
920 for (j = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), j, pbb2); j++)
921 for (k = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb1), k, pdr1); k++)
922 for (l = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb2), l, pdr2); l++)
923 if (!pddr_is_empty (dependence_polyhedron (pdr1, pdr2, 1, true)))
924 fprintf (file, "OS%d_D%d -> OS%d_D%d\n",
925 pbb_index (pbb1), PDR_ID (pdr1),
926 pbb_index (pbb2), PDR_ID (pdr2));
929 /* Pretty print to FILE all the transformed data dependences of SCoP in
933 dot_transformed_deps (FILE *file, scop_p scop)
936 poly_bb_p pbb1, pbb2;
937 poly_dr_p pdr1, pdr2;
939 for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb1); i++)
940 for (j = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), j, pbb2); j++)
941 for (k = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb1), k, pdr1); k++)
942 for (l = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb2), l, pdr2); l++)
944 poly_ddr_p pddr = dependence_polyhedron (pdr1, pdr2, 1, false);
946 if (!pddr_is_empty (pddr))
947 fprintf (file, "TS%d_D%d -> TS%d_D%d\n",
948 pbb_index (pbb1), PDR_ID (pdr1),
949 pbb_index (pbb2), PDR_ID (pdr2));
951 free_poly_ddr (pddr);
955 /* Pretty print to FILE all the data dependences of SCoP in DOT
959 dot_deps_1 (FILE *file, scop_p scop)
961 fputs ("digraph all {\n", file);
963 dot_original_deps (file, scop);
964 dot_transformed_deps (file, scop);
966 fputs ("}\n\n", file);
969 /* Display all the data dependences in SCoP using dotty. */
972 dot_deps (scop_p scop)
974 /* When debugging, enable the following code. This cannot be used
975 in production compilers because it calls "system". */
978 FILE *stream = fopen ("/tmp/scopdeps.dot", "w");
981 dot_deps_1 (stream, scop);
984 x = system ("dotty /tmp/scopdeps.dot");
986 dot_deps_1 (stderr, scop);
990 /* Display all the statement dependences in SCoP using dotty. */
993 dot_deps_stmt (scop_p scop)
995 /* When debugging, enable the following code. This cannot be used
996 in production compilers because it calls "system". */
999 FILE *stream = fopen ("/tmp/scopdeps.dot", "w");
1000 gcc_assert (stream);
1002 dot_deps_stmt_1 (stream, scop);
1005 x = system ("dotty /tmp/scopdeps.dot");
1007 dot_deps_stmt_1 (stderr, scop);