1 /* Conversion of SESE regions to Polyhedra.
2 Copyright (C) 2009-2017 Free Software Foundation, Inc.
3 Contributed by Sebastian Pop <sebastian.pop@amd.com>.
5 This file is part of GCC.
7 GCC is free software; you can redistribute it and/or modify
8 it under the terms of the GNU General Public License as published by
9 the Free Software Foundation; either version 3, or (at your option)
12 GCC is distributed in the hope that it will be useful,
13 but WITHOUT ANY WARRANTY; without even the implied warranty of
14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 GNU General Public License for more details.
17 You should have received a copy of the GNU General Public License
18 along with GCC; see the file COPYING3. If not see
19 <http://www.gnu.org/licenses/>. */
28 #include "coretypes.h"
35 #include "fold-const.h"
36 #include "gimple-iterator.h"
38 #include "gimplify-me.h"
40 #include "tree-ssa-loop-manip.h"
41 #include "tree-ssa-loop-niter.h"
42 #include "tree-ssa-loop.h"
43 #include "tree-into-ssa.h"
44 #include "tree-pass.h"
46 #include "tree-data-ref.h"
47 #include "tree-scalar-evolution.h"
49 #include "tree-ssa-propagate.h"
51 #include <isl/constraint.h>
54 #include <isl/union_map.h>
55 #include <isl/constraint.h>
61 /* Assigns to RES the value of the INTEGER_CST T. */
64 tree_int_to_gmp (tree t
, mpz_t res
)
66 wi::to_mpz (wi::to_wide (t
), res
, TYPE_SIGN (TREE_TYPE (t
)));
69 /* Return an isl identifier for the polyhedral basic block PBB. */
72 isl_id_for_pbb (scop_p s
, poly_bb_p pbb
)
75 snprintf (name
, sizeof (name
), "S_%d", pbb_index (pbb
));
76 return isl_id_alloc (s
->isl_context
, name
, pbb
);
79 static isl_pw_aff
*extract_affine (scop_p
, tree
, __isl_take isl_space
*space
);
81 /* Extract an affine expression from the chain of recurrence E. */
84 extract_affine_chrec (scop_p s
, tree e
, __isl_take isl_space
*space
)
86 isl_pw_aff
*lhs
= extract_affine (s
, CHREC_LEFT (e
), isl_space_copy (space
));
87 isl_pw_aff
*rhs
= extract_affine (s
, CHREC_RIGHT (e
), isl_space_copy (space
));
88 isl_local_space
*ls
= isl_local_space_from_space (space
);
89 unsigned pos
= sese_loop_depth (s
->scop_info
->region
, get_chrec_loop (e
)) - 1;
90 isl_aff
*loop
= isl_aff_set_coefficient_si
91 (isl_aff_zero_on_domain (ls
), isl_dim_in
, pos
, 1);
92 isl_pw_aff
*l
= isl_pw_aff_from_aff (loop
);
94 /* Before multiplying, make sure that the result is affine. */
95 gcc_assert (isl_pw_aff_is_cst (rhs
)
96 || isl_pw_aff_is_cst (l
));
98 return isl_pw_aff_add (lhs
, isl_pw_aff_mul (rhs
, l
));
101 /* Extract an affine expression from the mult_expr E. */
104 extract_affine_mul (scop_p s
, tree e
, __isl_take isl_space
*space
)
106 isl_pw_aff
*lhs
= extract_affine (s
, TREE_OPERAND (e
, 0),
107 isl_space_copy (space
));
108 isl_pw_aff
*rhs
= extract_affine (s
, TREE_OPERAND (e
, 1), space
);
110 if (!isl_pw_aff_is_cst (lhs
)
111 && !isl_pw_aff_is_cst (rhs
))
113 isl_pw_aff_free (lhs
);
114 isl_pw_aff_free (rhs
);
118 return isl_pw_aff_mul (lhs
, rhs
);
121 /* Return an isl identifier from the name of the ssa_name E. */
124 isl_id_for_ssa_name (scop_p s
, tree e
)
127 snprintf (name1
, sizeof (name1
), "P_%d", SSA_NAME_VERSION (e
));
128 return isl_id_alloc (s
->isl_context
, name1
, e
);
131 /* Return an isl identifier for the data reference DR. Data references and
132 scalar references get the same isl_id. They need to be comparable and are
133 distinguished through the first dimension, which contains the alias set or
134 SSA_NAME_VERSION number. */
137 isl_id_for_dr (scop_p s
)
139 return isl_id_alloc (s
->isl_context
, "", 0);
142 /* Extract an affine expression from the ssa_name E. */
145 extract_affine_name (int dimension
, __isl_take isl_space
*space
)
147 isl_set
*dom
= isl_set_universe (isl_space_copy (space
));
148 isl_aff
*aff
= isl_aff_zero_on_domain (isl_local_space_from_space (space
));
149 aff
= isl_aff_add_coefficient_si (aff
, isl_dim_param
, dimension
, 1);
150 return isl_pw_aff_alloc (dom
, aff
);
153 /* Convert WI to a isl_val with CTX. */
155 static __isl_give isl_val
*
156 isl_val_int_from_wi (isl_ctx
*ctx
, const widest_int
&wi
)
158 if (wi::neg_p (wi
, SIGNED
))
160 widest_int mwi
= -wi
;
161 return isl_val_neg (isl_val_int_from_chunks (ctx
, mwi
.get_len (),
162 sizeof (HOST_WIDE_INT
),
165 return isl_val_int_from_chunks (ctx
, wi
.get_len (), sizeof (HOST_WIDE_INT
),
169 /* Extract an affine expression from the gmp constant G. */
172 extract_affine_wi (const widest_int
&g
, __isl_take isl_space
*space
)
174 isl_local_space
*ls
= isl_local_space_from_space (isl_space_copy (space
));
175 isl_aff
*aff
= isl_aff_zero_on_domain (ls
);
176 isl_set
*dom
= isl_set_universe (space
);
177 isl_ctx
*ct
= isl_aff_get_ctx (aff
);
178 isl_val
*v
= isl_val_int_from_wi (ct
, g
);
179 aff
= isl_aff_add_constant_val (aff
, v
);
181 return isl_pw_aff_alloc (dom
, aff
);
184 /* Extract an affine expression from the integer_cst E. */
187 extract_affine_int (tree e
, __isl_take isl_space
*space
)
189 isl_pw_aff
*res
= extract_affine_wi (wi::to_widest (e
), space
);
193 /* Compute pwaff mod 2^width. */
196 wrap (isl_pw_aff
*pwaff
, unsigned width
)
200 mod
= isl_val_int_from_ui (isl_pw_aff_get_ctx (pwaff
), width
);
201 mod
= isl_val_2exp (mod
);
202 pwaff
= isl_pw_aff_mod_val (pwaff
, mod
);
207 /* When parameter NAME is in REGION, returns its index in SESE_PARAMS.
208 Otherwise returns -1. */
211 parameter_index_in_region (tree name
, sese_info_p region
)
215 FOR_EACH_VEC_ELT (region
->params
, i
, p
)
221 /* Extract an affine expression from the tree E in the scop S. */
224 extract_affine (scop_p s
, tree e
, __isl_take isl_space
*space
)
226 isl_pw_aff
*lhs
, *rhs
, *res
;
228 if (e
== chrec_dont_know
) {
229 isl_space_free (space
);
233 tree type
= TREE_TYPE (e
);
234 switch (TREE_CODE (e
))
236 case POLYNOMIAL_CHREC
:
237 res
= extract_affine_chrec (s
, e
, space
);
241 res
= extract_affine_mul (s
, e
, space
);
244 case POINTER_PLUS_EXPR
:
246 lhs
= extract_affine (s
, TREE_OPERAND (e
, 0), isl_space_copy (space
));
247 /* The RHS of a pointer-plus expression is to be interpreted
248 as signed value. Try to look through a sign-changing conversion
250 tree tem
= TREE_OPERAND (e
, 1);
252 rhs
= extract_affine (s
, tem
, space
);
253 if (TYPE_UNSIGNED (TREE_TYPE (tem
)))
254 rhs
= wrap (rhs
, TYPE_PRECISION (type
) - 1);
255 res
= isl_pw_aff_add (lhs
, rhs
);
260 lhs
= extract_affine (s
, TREE_OPERAND (e
, 0), isl_space_copy (space
));
261 rhs
= extract_affine (s
, TREE_OPERAND (e
, 1), space
);
262 res
= isl_pw_aff_add (lhs
, rhs
);
266 lhs
= extract_affine (s
, TREE_OPERAND (e
, 0), isl_space_copy (space
));
267 rhs
= extract_affine (s
, TREE_OPERAND (e
, 1), space
);
268 res
= isl_pw_aff_sub (lhs
, rhs
);
272 lhs
= extract_affine (s
, integer_minus_one_node
, isl_space_copy (space
));
273 rhs
= extract_affine (s
, TREE_OPERAND (e
, 0), space
);
274 res
= isl_pw_aff_sub (lhs
, rhs
);
278 lhs
= extract_affine (s
, TREE_OPERAND (e
, 0), isl_space_copy (space
));
279 rhs
= extract_affine (s
, integer_minus_one_node
, space
);
280 res
= isl_pw_aff_mul (lhs
, rhs
);
285 gcc_assert (! defined_in_sese_p (e
, s
->scop_info
->region
));
286 int dim
= parameter_index_in_region (e
, s
->scop_info
);
287 gcc_assert (dim
!= -1);
288 res
= extract_affine_name (dim
, space
);
293 res
= extract_affine_int (e
, space
);
294 /* No need to wrap a single integer. */
299 tree itype
= TREE_TYPE (TREE_OPERAND (e
, 0));
300 res
= extract_affine (s
, TREE_OPERAND (e
, 0), space
);
301 /* Signed values, even if overflow is undefined, get modulo-reduced.
302 But only if not all values of the old type fit in the new. */
303 if (! TYPE_UNSIGNED (type
)
304 && ((TYPE_UNSIGNED (TREE_TYPE (TREE_OPERAND (e
, 0)))
305 && TYPE_PRECISION (type
) <= TYPE_PRECISION (itype
))
306 || TYPE_PRECISION (type
) < TYPE_PRECISION (itype
)))
307 res
= wrap (res
, TYPE_PRECISION (type
) - 1);
311 case NON_LVALUE_EXPR
:
312 res
= extract_affine (s
, TREE_OPERAND (e
, 0), space
);
320 if (TYPE_UNSIGNED (type
))
321 res
= wrap (res
, TYPE_PRECISION (type
));
326 /* Returns a linear expression for tree T evaluated in PBB. */
329 create_pw_aff_from_tree (poly_bb_p pbb
, loop_p loop
, tree t
)
331 scop_p scop
= PBB_SCOP (pbb
);
333 t
= scalar_evolution_in_region (scop
->scop_info
->region
, loop
, t
);
335 gcc_assert (!chrec_contains_undetermined (t
));
336 gcc_assert (!automatically_generated_chrec_p (t
));
338 return extract_affine (scop
, t
, isl_set_get_space (pbb
->domain
));
341 /* Add conditional statement STMT to pbb. CODE is used as the comparison
342 operator. This allows us to invert the condition or to handle
346 add_condition_to_pbb (poly_bb_p pbb
, gcond
*stmt
, enum tree_code code
)
348 loop_p loop
= gimple_bb (stmt
)->loop_father
;
349 isl_pw_aff
*lhs
= create_pw_aff_from_tree (pbb
, loop
, gimple_cond_lhs (stmt
));
350 isl_pw_aff
*rhs
= create_pw_aff_from_tree (pbb
, loop
, gimple_cond_rhs (stmt
));
356 cond
= isl_pw_aff_lt_set (lhs
, rhs
);
360 cond
= isl_pw_aff_gt_set (lhs
, rhs
);
364 cond
= isl_pw_aff_le_set (lhs
, rhs
);
368 cond
= isl_pw_aff_ge_set (lhs
, rhs
);
372 cond
= isl_pw_aff_eq_set (lhs
, rhs
);
376 cond
= isl_pw_aff_ne_set (lhs
, rhs
);
383 cond
= isl_set_coalesce (cond
);
384 cond
= isl_set_set_tuple_id (cond
, isl_set_get_tuple_id (pbb
->domain
));
385 pbb
->domain
= isl_set_coalesce (isl_set_intersect (pbb
->domain
, cond
));
388 /* Add conditions to the domain of PBB. */
391 add_conditions_to_domain (poly_bb_p pbb
)
395 gimple_poly_bb_p gbb
= PBB_BLACK_BOX (pbb
);
397 if (GBB_CONDITIONS (gbb
).is_empty ())
400 FOR_EACH_VEC_ELT (GBB_CONDITIONS (gbb
), i
, stmt
)
401 switch (gimple_code (stmt
))
405 /* Don't constrain on anything else than INTEGER_TYPE. */
406 if (TREE_CODE (TREE_TYPE (gimple_cond_lhs (stmt
))) != INTEGER_TYPE
)
409 gcond
*cond_stmt
= as_a
<gcond
*> (stmt
);
410 enum tree_code code
= gimple_cond_code (cond_stmt
);
412 /* The conditions for ELSE-branches are inverted. */
413 if (!GBB_CONDITION_CASES (gbb
)[i
])
414 code
= invert_tree_comparison (code
, false);
416 add_condition_to_pbb (pbb
, cond_stmt
, code
);
426 /* Add constraints on the possible values of parameter P from the type
430 add_param_constraints (scop_p scop
, graphite_dim_t p
, tree parameter
)
432 tree type
= TREE_TYPE (parameter
);
435 gcc_assert (INTEGRAL_TYPE_P (type
) || POINTER_TYPE_P (type
));
437 if (INTEGRAL_TYPE_P (type
)
438 && get_range_info (parameter
, &min
, &max
) == VR_RANGE
)
442 min
= wi::min_value (TYPE_PRECISION (type
), TYPE_SIGN (type
));
443 max
= wi::max_value (TYPE_PRECISION (type
), TYPE_SIGN (type
));
446 isl_space
*space
= isl_set_get_space (scop
->param_context
);
447 isl_constraint
*c
= isl_inequality_alloc (isl_local_space_from_space (space
));
448 isl_val
*v
= isl_val_int_from_wi (scop
->isl_context
,
449 widest_int::from (min
, TYPE_SIGN (type
)));
451 c
= isl_constraint_set_constant_val (c
, v
);
452 c
= isl_constraint_set_coefficient_si (c
, isl_dim_param
, p
, 1);
453 scop
->param_context
= isl_set_coalesce
454 (isl_set_add_constraint (scop
->param_context
, c
));
456 space
= isl_set_get_space (scop
->param_context
);
457 c
= isl_inequality_alloc (isl_local_space_from_space (space
));
458 v
= isl_val_int_from_wi (scop
->isl_context
,
459 widest_int::from (max
, TYPE_SIGN (type
)));
460 c
= isl_constraint_set_constant_val (c
, v
);
461 c
= isl_constraint_set_coefficient_si (c
, isl_dim_param
, p
, -1);
462 scop
->param_context
= isl_set_coalesce
463 (isl_set_add_constraint (scop
->param_context
, c
));
466 /* Add a constrain to the ACCESSES polyhedron for the alias set of
467 data reference DR. ACCESSP_NB_DIMS is the dimension of the
468 ACCESSES polyhedron, DOM_NB_DIMS is the dimension of the iteration
472 pdr_add_alias_set (isl_map
*acc
, dr_info
&dri
)
474 isl_constraint
*c
= isl_equality_alloc
475 (isl_local_space_from_space (isl_map_get_space (acc
)));
476 /* Positive numbers for all alias sets. */
477 c
= isl_constraint_set_constant_si (c
, -dri
.alias_set
);
478 c
= isl_constraint_set_coefficient_si (c
, isl_dim_out
, 0, 1);
480 return isl_map_add_constraint (acc
, c
);
483 /* Assign the affine expression INDEX to the output dimension POS of
484 MAP and return the result. */
487 set_index (isl_map
*map
, int pos
, isl_pw_aff
*index
)
490 int len
= isl_map_dim (map
, isl_dim_out
);
493 index_map
= isl_map_from_pw_aff (index
);
494 index_map
= isl_map_insert_dims (index_map
, isl_dim_out
, 0, pos
);
495 index_map
= isl_map_add_dims (index_map
, isl_dim_out
, len
- pos
- 1);
497 id
= isl_map_get_tuple_id (map
, isl_dim_out
);
498 index_map
= isl_map_set_tuple_id (index_map
, isl_dim_out
, id
);
499 id
= isl_map_get_tuple_id (map
, isl_dim_in
);
500 index_map
= isl_map_set_tuple_id (index_map
, isl_dim_in
, id
);
502 return isl_map_intersect (map
, index_map
);
505 /* Add to ACCESSES polyhedron equalities defining the access functions
506 to the memory. ACCESSP_NB_DIMS is the dimension of the ACCESSES
507 polyhedron, DOM_NB_DIMS is the dimension of the iteration domain.
508 PBB is the poly_bb_p that contains the data reference DR. */
511 pdr_add_memory_accesses (isl_map
*acc
, dr_info
&dri
)
513 data_reference_p dr
= dri
.dr
;
514 poly_bb_p pbb
= dri
.pbb
;
515 int i
, nb_subscripts
= DR_NUM_DIMENSIONS (dr
);
516 scop_p scop
= PBB_SCOP (pbb
);
518 for (i
= 0; i
< nb_subscripts
; i
++)
521 tree afn
= DR_ACCESS_FN (dr
, i
);
523 aff
= extract_affine (scop
, afn
,
524 isl_space_domain (isl_map_get_space (acc
)));
525 acc
= set_index (acc
, nb_subscripts
- i
, aff
);
528 return isl_map_coalesce (acc
);
531 /* Return true when the LOW and HIGH bounds of an array reference REF are valid
532 to extract constraints on accessed elements of the array. Returning false is
533 the conservative answer. */
536 bounds_are_valid (tree ref
, tree low
, tree high
)
541 if (!tree_fits_shwi_p (low
)
542 || !tree_fits_shwi_p (high
))
545 /* 1-element arrays at end of structures may extend over
546 their declared size. */
547 if (array_at_struct_end_p (ref
)
548 && operand_equal_p (low
, high
, 0))
551 /* Fortran has some arrays where high bound is -1 and low is 0. */
552 if (integer_onep (fold_build2 (LT_EXPR
, boolean_type_node
, high
, low
)))
558 /* Add constrains representing the size of the accessed data to the
559 ACCESSES polyhedron. ACCESSP_NB_DIMS is the dimension of the
560 ACCESSES polyhedron, DOM_NB_DIMS is the dimension of the iteration
564 pdr_add_data_dimensions (isl_set
*subscript_sizes
, scop_p scop
,
567 tree ref
= DR_REF (dr
);
569 int nb_subscripts
= DR_NUM_DIMENSIONS (dr
);
570 for (int i
= nb_subscripts
- 1; i
>= 0; i
--, ref
= TREE_OPERAND (ref
, 0))
572 if (TREE_CODE (ref
) != ARRAY_REF
)
573 return subscript_sizes
;
575 tree low
= array_ref_low_bound (ref
);
576 tree high
= array_ref_up_bound (ref
);
578 if (!bounds_are_valid (ref
, low
, high
))
581 isl_space
*space
= isl_set_get_space (subscript_sizes
);
582 isl_pw_aff
*lb
= extract_affine_int (low
, isl_space_copy (space
));
583 isl_pw_aff
*ub
= extract_affine_int (high
, isl_space_copy (space
));
586 isl_set
*valid
= isl_pw_aff_nonneg_set (isl_pw_aff_copy (ub
));
587 valid
= isl_set_project_out (valid
, isl_dim_set
, 0,
588 isl_set_dim (valid
, isl_dim_set
));
589 scop
->param_context
= isl_set_coalesce
590 (isl_set_intersect (scop
->param_context
, valid
));
593 = isl_aff_zero_on_domain (isl_local_space_from_space (space
));
594 aff
= isl_aff_add_coefficient_si (aff
, isl_dim_in
, i
+ 1, 1);
596 = isl_set_universe (isl_space_domain (isl_aff_get_space (aff
)));
597 isl_pw_aff
*index
= isl_pw_aff_alloc (univ
, aff
);
599 isl_id
*id
= isl_set_get_tuple_id (subscript_sizes
);
600 lb
= isl_pw_aff_set_tuple_id (lb
, isl_dim_in
, isl_id_copy (id
));
601 ub
= isl_pw_aff_set_tuple_id (ub
, isl_dim_in
, id
);
603 /* low <= sub_i <= high */
604 isl_set
*lbs
= isl_pw_aff_ge_set (isl_pw_aff_copy (index
), lb
);
605 isl_set
*ubs
= isl_pw_aff_le_set (index
, ub
);
606 subscript_sizes
= isl_set_intersect (subscript_sizes
, lbs
);
607 subscript_sizes
= isl_set_intersect (subscript_sizes
, ubs
);
610 return isl_set_coalesce (subscript_sizes
);
613 /* Build data accesses for DRI. */
616 build_poly_dr (dr_info
&dri
)
619 isl_set
*subscript_sizes
;
620 poly_bb_p pbb
= dri
.pbb
;
621 data_reference_p dr
= dri
.dr
;
622 scop_p scop
= PBB_SCOP (pbb
);
623 isl_id
*id
= isl_id_for_dr (scop
);
626 isl_space
*dc
= isl_set_get_space (pbb
->domain
);
627 int nb_out
= 1 + DR_NUM_DIMENSIONS (dr
);
628 isl_space
*space
= isl_space_add_dims (isl_space_from_domain (dc
),
629 isl_dim_out
, nb_out
);
631 acc
= isl_map_universe (space
);
632 acc
= isl_map_set_tuple_id (acc
, isl_dim_out
, isl_id_copy (id
));
635 acc
= pdr_add_alias_set (acc
, dri
);
636 acc
= pdr_add_memory_accesses (acc
, dri
);
639 int nb
= 1 + DR_NUM_DIMENSIONS (dr
);
640 isl_space
*space
= isl_space_set_alloc (scop
->isl_context
, 0, nb
);
642 space
= isl_space_set_tuple_id (space
, isl_dim_set
, id
);
643 subscript_sizes
= isl_set_nat_universe (space
);
644 subscript_sizes
= isl_set_fix_si (subscript_sizes
, isl_dim_set
, 0,
646 subscript_sizes
= pdr_add_data_dimensions (subscript_sizes
, scop
, dr
);
649 new_poly_dr (pbb
, DR_STMT (dr
), DR_IS_READ (dr
) ? PDR_READ
: PDR_WRITE
,
650 acc
, subscript_sizes
);
654 build_poly_sr_1 (poly_bb_p pbb
, gimple
*stmt
, tree var
, enum poly_dr_type kind
,
655 isl_map
*acc
, isl_set
*subscript_sizes
)
657 scop_p scop
= PBB_SCOP (pbb
);
658 /* Each scalar variables has a unique alias set number starting from
659 the maximum alias set assigned to a dr. */
660 int alias_set
= scop
->max_alias_set
+ SSA_NAME_VERSION (var
);
661 subscript_sizes
= isl_set_fix_si (subscript_sizes
, isl_dim_set
, 0,
664 /* Add a constrain to the ACCESSES polyhedron for the alias set of
665 data reference DR. */
667 = isl_equality_alloc (isl_local_space_from_space (isl_map_get_space (acc
)));
668 c
= isl_constraint_set_constant_si (c
, -alias_set
);
669 c
= isl_constraint_set_coefficient_si (c
, isl_dim_out
, 0, 1);
671 new_poly_dr (pbb
, stmt
, kind
, isl_map_add_constraint (acc
, c
),
675 /* Record all cross basic block scalar variables in PBB. */
678 build_poly_sr (poly_bb_p pbb
)
680 scop_p scop
= PBB_SCOP (pbb
);
681 gimple_poly_bb_p gbb
= PBB_BLACK_BOX (pbb
);
682 vec
<scalar_use
> &reads
= gbb
->read_scalar_refs
;
683 vec
<tree
> &writes
= gbb
->write_scalar_refs
;
685 isl_space
*dc
= isl_set_get_space (pbb
->domain
);
687 isl_space
*space
= isl_space_add_dims (isl_space_from_domain (dc
),
688 isl_dim_out
, nb_out
);
689 isl_id
*id
= isl_id_for_dr (scop
);
690 space
= isl_space_set_tuple_id (space
, isl_dim_set
, isl_id_copy (id
));
691 isl_map
*acc
= isl_map_universe (isl_space_copy (space
));
692 acc
= isl_map_set_tuple_id (acc
, isl_dim_out
, id
);
693 isl_set
*subscript_sizes
= isl_set_nat_universe (space
);
697 FOR_EACH_VEC_ELT (writes
, i
, var
)
698 build_poly_sr_1 (pbb
, SSA_NAME_DEF_STMT (var
), var
, PDR_WRITE
,
699 isl_map_copy (acc
), isl_set_copy (subscript_sizes
));
702 FOR_EACH_VEC_ELT (reads
, i
, use
)
703 build_poly_sr_1 (pbb
, use
->first
, use
->second
, PDR_READ
, isl_map_copy (acc
),
704 isl_set_copy (subscript_sizes
));
707 isl_set_free (subscript_sizes
);
710 /* Build data references in SCOP. */
713 build_scop_drs (scop_p scop
)
717 FOR_EACH_VEC_ELT (scop
->drs
, i
, dri
)
718 build_poly_dr (*dri
);
721 FOR_EACH_VEC_ELT (scop
->pbbs
, i
, pbb
)
725 /* Add to the iteration DOMAIN one extra dimension for LOOP->num. */
728 add_iter_domain_dimension (__isl_take isl_set
*domain
, loop_p loop
, scop_p scop
)
730 int loop_index
= isl_set_dim (domain
, isl_dim_set
);
731 domain
= isl_set_add_dims (domain
, isl_dim_set
, 1);
733 snprintf (name
, sizeof(name
), "i%d", loop
->num
);
734 isl_id
*label
= isl_id_alloc (scop
->isl_context
, name
, NULL
);
735 return isl_set_set_dim_id (domain
, isl_dim_set
, loop_index
, label
);
738 /* Add constraints to DOMAIN for each loop from LOOP up to CONTEXT. */
741 add_loop_constraints (scop_p scop
, __isl_take isl_set
*domain
, loop_p loop
,
746 const sese_l
®ion
= scop
->scop_info
->region
;
747 if (!loop_in_sese_p (loop
, region
))
750 /* Recursion all the way up to the context loop. */
751 domain
= add_loop_constraints (scop
, domain
, loop_outer (loop
), context
);
753 /* Then, build constraints over the loop in post-order: outer to inner. */
755 int loop_index
= isl_set_dim (domain
, isl_dim_set
);
757 fprintf (dump_file
, "[sese-to-poly] adding one extra dimension to the "
758 "domain for loop_%d.\n", loop
->num
);
759 domain
= add_iter_domain_dimension (domain
, loop
, scop
);
760 isl_space
*space
= isl_set_get_space (domain
);
763 isl_local_space
*ls
= isl_local_space_from_space (isl_space_copy (space
));
764 isl_constraint
*c
= isl_inequality_alloc (ls
);
765 c
= isl_constraint_set_coefficient_si (c
, isl_dim_set
, loop_index
, 1);
768 fprintf (dump_file
, "[sese-to-poly] adding constraint to the domain: ");
769 print_isl_constraint (dump_file
, c
);
771 domain
= isl_set_add_constraint (domain
, c
);
773 tree nb_iters
= number_of_latch_executions (loop
);
774 if (TREE_CODE (nb_iters
) == INTEGER_CST
)
776 /* loop_i <= cst_nb_iters */
777 isl_local_space
*ls
= isl_local_space_from_space (space
);
778 isl_constraint
*c
= isl_inequality_alloc (ls
);
779 c
= isl_constraint_set_coefficient_si (c
, isl_dim_set
, loop_index
, -1);
781 = isl_val_int_from_wi (scop
->isl_context
, wi::to_widest (nb_iters
));
782 c
= isl_constraint_set_constant_val (c
, v
);
783 return isl_set_add_constraint (domain
, c
);
785 /* loop_i <= expr_nb_iters */
786 gcc_assert (!chrec_contains_undetermined (nb_iters
));
787 nb_iters
= scalar_evolution_in_region (region
, loop
, nb_iters
);
788 gcc_assert (!chrec_contains_undetermined (nb_iters
));
790 isl_pw_aff
*aff_nb_iters
= extract_affine (scop
, nb_iters
,
791 isl_space_copy (space
));
792 isl_set
*valid
= isl_pw_aff_nonneg_set (isl_pw_aff_copy (aff_nb_iters
));
793 valid
= isl_set_project_out (valid
, isl_dim_set
, 0,
794 isl_set_dim (valid
, isl_dim_set
));
797 scop
->param_context
= isl_set_intersect (scop
->param_context
, valid
);
799 ls
= isl_local_space_from_space (isl_space_copy (space
));
800 isl_aff
*loop_i
= isl_aff_set_coefficient_si (isl_aff_zero_on_domain (ls
),
801 isl_dim_in
, loop_index
, 1);
802 isl_set
*le
= isl_pw_aff_le_set (isl_pw_aff_from_aff (loop_i
),
803 isl_pw_aff_copy (aff_nb_iters
));
806 fprintf (dump_file
, "[sese-to-poly] adding constraint to the domain: ");
807 print_isl_set (dump_file
, le
);
809 domain
= isl_set_intersect (domain
, le
);
812 if (!max_stmt_executions (loop
, &nit
))
814 isl_pw_aff_free (aff_nb_iters
);
815 isl_space_free (space
);
819 /* NIT is an upper bound to NB_ITERS: "NIT >= NB_ITERS", although we
820 do not know whether the loop executes at least once. */
823 isl_pw_aff
*approx
= extract_affine_wi (nit
, isl_space_copy (space
));
824 isl_set
*x
= isl_pw_aff_ge_set (approx
, aff_nb_iters
);
825 x
= isl_set_project_out (x
, isl_dim_set
, 0,
826 isl_set_dim (x
, isl_dim_set
));
827 scop
->param_context
= isl_set_intersect (scop
->param_context
, x
);
829 ls
= isl_local_space_from_space (space
);
830 c
= isl_inequality_alloc (ls
);
831 c
= isl_constraint_set_coefficient_si (c
, isl_dim_set
, loop_index
, -1);
832 isl_val
*v
= isl_val_int_from_wi (scop
->isl_context
, nit
);
833 c
= isl_constraint_set_constant_val (c
, v
);
837 fprintf (dump_file
, "[sese-to-poly] adding constraint to the domain: ");
838 print_isl_constraint (dump_file
, c
);
841 return isl_set_add_constraint (domain
, c
);
844 /* Builds the original iteration domains for each pbb in the SCOP. */
847 build_iteration_domains (scop_p scop
, __isl_keep isl_set
*context
,
848 int index
, loop_p context_loop
)
850 loop_p current
= pbb_loop (scop
->pbbs
[index
]);
851 isl_set
*domain
= isl_set_copy (context
);
852 domain
= add_loop_constraints (scop
, domain
, current
, context_loop
);
853 const sese_l
®ion
= scop
->scop_info
->region
;
857 FOR_EACH_VEC_ELT_FROM (scop
->pbbs
, i
, pbb
, index
)
859 loop_p loop
= pbb_loop (pbb
);
862 pbb
->iterators
= isl_set_copy (domain
);
863 pbb
->domain
= isl_set_copy (domain
);
864 pbb
->domain
= isl_set_set_tuple_id (pbb
->domain
,
865 isl_id_for_pbb (scop
, pbb
));
866 add_conditions_to_domain (pbb
);
870 fprintf (dump_file
, "[sese-to-poly] set pbb_%d->domain: ",
872 print_isl_set (dump_file
, domain
);
877 while (loop_in_sese_p (loop
, region
)
879 loop
= loop_outer (loop
);
883 /* A statement in a different loop nest than CURRENT loop. */
884 isl_set_free (domain
);
888 /* A statement nested in the CURRENT loop. */
889 i
= build_iteration_domains (scop
, domain
, i
, current
);
893 isl_set_free (domain
);
897 /* Assign dimension for each parameter in SCOP and add constraints for the
901 build_scop_context (scop_p scop
)
903 sese_info_p region
= scop
->scop_info
;
904 unsigned nbp
= sese_nb_params (region
);
905 isl_space
*space
= isl_space_set_alloc (scop
->isl_context
, nbp
, 0);
909 FOR_EACH_VEC_ELT (region
->params
, i
, e
)
910 space
= isl_space_set_dim_id (space
, isl_dim_param
, i
,
911 isl_id_for_ssa_name (scop
, e
));
913 scop
->param_context
= isl_set_universe (space
);
915 FOR_EACH_VEC_ELT (region
->params
, i
, e
)
916 add_param_constraints (scop
, i
, e
);
919 /* Return true when loop A is nested in loop B. */
922 nested_in (loop_p a
, loop_p b
)
924 return b
== find_common_loop (a
, b
);
927 /* Return the loop at a specific SCOP->pbbs[*INDEX]. */
929 loop_at (scop_p scop
, int *index
)
931 return pbb_loop (scop
->pbbs
[*index
]);
934 /* Return the index of any pbb belonging to loop or a subloop of A. */
937 index_outermost_in_loop (loop_p a
, scop_p scop
)
939 int i
, outermost
= -1;
942 FOR_EACH_VEC_ELT (scop
->pbbs
, i
, pbb
)
943 if (nested_in (pbb_loop (pbb
), a
)
945 || last_depth
> (int) loop_depth (pbb_loop (pbb
))))
948 last_depth
= loop_depth (pbb_loop (pbb
));
953 /* Return the index of any pbb belonging to loop or a subloop of A. */
956 index_pbb_in_loop (loop_p a
, scop_p scop
)
960 FOR_EACH_VEC_ELT (scop
->pbbs
, i
, pbb
)
961 if (pbb_loop (pbb
) == a
)
967 outermost_pbb_in (loop_p loop
, scop_p scop
)
969 int x
= index_pbb_in_loop (loop
, scop
);
971 x
= index_outermost_in_loop (loop
, scop
);
972 return scop
->pbbs
[x
];
975 static isl_schedule
*
976 add_in_sequence (__isl_take isl_schedule
*a
, __isl_take isl_schedule
*b
)
986 return isl_schedule_sequence (a
, b
);
989 struct map_to_dimension_data
{
991 isl_union_pw_multi_aff
*res
;
994 /* Create a function that maps the elements of SET to its N-th dimension and add
998 add_outer_projection (__isl_take isl_set
*set
, void *user
)
1000 struct map_to_dimension_data
*data
= (struct map_to_dimension_data
*) user
;
1001 int dim
= isl_set_dim (set
, isl_dim_set
);
1002 isl_space
*space
= isl_set_get_space (set
);
1004 gcc_assert (dim
>= data
->n
);
1005 isl_pw_multi_aff
*pma
1006 = isl_pw_multi_aff_project_out_map (space
, isl_dim_set
, data
->n
,
1008 data
->res
= isl_union_pw_multi_aff_add_pw_multi_aff (data
->res
, pma
);
1014 /* Return SET in which all inner dimensions above N are removed. */
1016 static isl_multi_union_pw_aff
*
1017 outer_projection_mupa (__isl_take isl_union_set
*set
, int n
)
1019 gcc_assert (n
>= 0);
1021 gcc_assert (!isl_union_set_is_empty (set
));
1023 isl_space
*space
= isl_union_set_get_space (set
);
1024 isl_union_pw_multi_aff
*pwaff
= isl_union_pw_multi_aff_empty (space
);
1026 struct map_to_dimension_data data
= {n
, pwaff
};
1028 if (isl_union_set_foreach_set (set
, &add_outer_projection
, &data
) < 0)
1029 data
.res
= isl_union_pw_multi_aff_free (data
.res
);
1031 isl_union_set_free (set
);
1032 return isl_multi_union_pw_aff_from_union_pw_multi_aff (data
.res
);
1035 /* Embed SCHEDULE in the constraints of the LOOP domain. */
1037 static isl_schedule
*
1038 add_loop_schedule (__isl_take isl_schedule
*schedule
, loop_p loop
,
1041 poly_bb_p pbb
= outermost_pbb_in (loop
, scop
);
1042 isl_set
*iterators
= pbb
->iterators
;
1044 int empty
= isl_set_is_empty (iterators
);
1045 if (empty
< 0 || empty
)
1046 return empty
< 0 ? isl_schedule_free (schedule
) : schedule
;
1048 isl_union_set
*domain
= isl_schedule_get_domain (schedule
);
1049 /* We cannot apply an empty domain to pbbs in this loop so return early. */
1050 if (isl_union_set_is_empty (domain
))
1052 isl_union_set_free (domain
);
1056 isl_space
*space
= isl_set_get_space (iterators
);
1057 int loop_index
= isl_space_dim (space
, isl_dim_set
) - 1;
1059 loop_p ploop
= pbb_loop (pbb
);
1060 while (loop
!= ploop
)
1063 ploop
= loop_outer (ploop
);
1066 isl_local_space
*ls
= isl_local_space_from_space (space
);
1067 isl_aff
*aff
= isl_aff_var_on_domain (ls
, isl_dim_set
, loop_index
);
1068 isl_multi_aff
*prefix
= isl_multi_aff_from_aff (aff
);
1070 snprintf (name
, sizeof(name
), "L_%d", loop
->num
);
1071 isl_id
*label
= isl_id_alloc (isl_schedule_get_ctx (schedule
),
1073 prefix
= isl_multi_aff_set_tuple_id (prefix
, isl_dim_out
, label
);
1075 int n
= isl_multi_aff_dim (prefix
, isl_dim_in
);
1076 isl_multi_union_pw_aff
*mupa
= outer_projection_mupa (domain
, n
);
1077 mupa
= isl_multi_union_pw_aff_apply_multi_aff (mupa
, prefix
);
1078 return isl_schedule_insert_partial_schedule (schedule
, mupa
);
1081 /* Build schedule for the pbb at INDEX. */
1083 static isl_schedule
*
1084 build_schedule_pbb (scop_p scop
, int *index
)
1086 poly_bb_p pbb
= scop
->pbbs
[*index
];
1088 isl_set
*domain
= isl_set_copy (pbb
->domain
);
1089 isl_union_set
*ud
= isl_union_set_from_set (domain
);
1090 return isl_schedule_from_domain (ud
);
1093 static isl_schedule
*build_schedule_loop_nest (scop_p
, int *, loop_p
);
1095 /* Build the schedule of the loop containing the SCOP pbb at INDEX. */
1097 static isl_schedule
*
1098 build_schedule_loop (scop_p scop
, int *index
)
1100 int max
= scop
->pbbs
.length ();
1101 gcc_assert (*index
< max
);
1102 loop_p loop
= loop_at (scop
, index
);
1104 isl_schedule
*s
= NULL
;
1105 while (nested_in (loop_at (scop
, index
), loop
))
1107 if (loop
== loop_at (scop
, index
))
1108 s
= add_in_sequence (s
, build_schedule_pbb (scop
, index
));
1110 s
= add_in_sequence (s
, build_schedule_loop_nest (scop
, index
, loop
));
1116 return add_loop_schedule (s
, loop
, scop
);
1119 /* S is the schedule of the loop LOOP. Embed the schedule S in all outer loops.
1120 When CONTEXT_LOOP is null, embed the schedule in all loops contained in the
1121 SCOP surrounding LOOP. When CONTEXT_LOOP is non null, only embed S in the
1122 maximal loop nest contained within CONTEXT_LOOP. */
1124 static isl_schedule
*
1125 embed_in_surrounding_loops (__isl_take isl_schedule
*s
, scop_p scop
,
1126 loop_p loop
, int *index
, loop_p context_loop
)
1128 loop_p outer
= loop_outer (loop
);
1129 sese_l region
= scop
->scop_info
->region
;
1130 if (context_loop
== outer
1131 || !loop_in_sese_p (outer
, region
))
1134 int max
= scop
->pbbs
.length ();
1136 || (context_loop
&& !nested_in (loop_at (scop
, index
), context_loop
))
1138 && !loop_in_sese_p (find_common_loop (outer
, loop_at (scop
, index
)),
1140 return embed_in_surrounding_loops (add_loop_schedule (s
, outer
, scop
),
1141 scop
, outer
, index
, context_loop
);
1144 while ((a_pbb
= (outer
== loop_at (scop
, index
)))
1145 || nested_in (loop_at (scop
, index
), outer
))
1148 s
= add_in_sequence (s
, build_schedule_pbb (scop
, index
));
1150 s
= add_in_sequence (s
, build_schedule_loop (scop
, index
));
1156 /* We reached the end of the OUTER loop: embed S in OUTER. */
1157 return embed_in_surrounding_loops (add_loop_schedule (s
, outer
, scop
), scop
,
1158 outer
, index
, context_loop
);
1161 /* Build schedule for the full loop nest containing the pbb at INDEX. When
1162 CONTEXT_LOOP is null, build the schedule of all loops contained in the SCOP
1163 surrounding the pbb. When CONTEXT_LOOP is non null, only build the maximal loop
1164 nest contained within CONTEXT_LOOP. */
1166 static isl_schedule
*
1167 build_schedule_loop_nest (scop_p scop
, int *index
, loop_p context_loop
)
1169 gcc_assert (*index
!= (int) scop
->pbbs
.length ());
1171 loop_p loop
= loop_at (scop
, index
);
1172 isl_schedule
*s
= build_schedule_loop (scop
, index
);
1173 return embed_in_surrounding_loops (s
, scop
, loop
, index
, context_loop
);
1176 /* Build the schedule of the SCOP. */
1179 build_original_schedule (scop_p scop
)
1182 int n
= scop
->pbbs
.length ();
1185 poly_bb_p pbb
= scop
->pbbs
[i
];
1186 isl_schedule
*s
= NULL
;
1187 if (!loop_in_sese_p (pbb_loop (pbb
), scop
->scop_info
->region
))
1188 s
= build_schedule_pbb (scop
, &i
);
1190 s
= build_schedule_loop_nest (scop
, &i
, NULL
);
1192 scop
->original_schedule
= add_in_sequence (scop
->original_schedule
, s
);
1197 fprintf (dump_file
, "[sese-to-poly] original schedule:\n");
1198 print_isl_schedule (dump_file
, scop
->original_schedule
);
1202 /* Builds the polyhedral representation for a SESE region. */
1205 build_poly_scop (scop_p scop
)
1207 int old_err
= isl_options_get_on_error (scop
->isl_context
);
1208 isl_options_set_on_error (scop
->isl_context
, ISL_ON_ERROR_CONTINUE
);
1210 build_scop_context (scop
);
1213 unsigned n
= scop
->pbbs
.length ();
1215 i
= build_iteration_domains (scop
, scop
->param_context
, i
, NULL
);
1217 build_scop_drs (scop
);
1218 build_original_schedule (scop
);
1220 enum isl_error err
= isl_ctx_last_error (scop
->isl_context
);
1221 isl_ctx_reset_error (scop
->isl_context
);
1222 isl_options_set_on_error (scop
->isl_context
, old_err
);
1223 if (err
!= isl_error_none
)
1224 dump_printf (MSG_MISSED_OPTIMIZATION
,
1225 "ISL error while building poly scop\n");
1227 return err
== isl_error_none
;
1229 #endif /* HAVE_isl */