2 * Copyright 2012-2014 Ecole Normale Superieure. All rights reserved.
4 * Redistribution and use in source and binary forms, with or without
5 * modification, are permitted provided that the following conditions
8 * 1. Redistributions of source code must retain the above copyright
9 * notice, this list of conditions and the following disclaimer.
11 * 2. Redistributions in binary form must reproduce the above
12 * copyright notice, this list of conditions and the following
13 * disclaimer in the documentation and/or other materials provided
14 * with the distribution.
16 * THIS SOFTWARE IS PROVIDED BY ECOLE NORMALE SUPERIEURE ''AS IS'' AND ANY
17 * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
18 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
19 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL ECOLE NORMALE SUPERIEURE OR
20 * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
21 * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
22 * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA,
23 * OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
24 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
25 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
26 * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
28 * The views and conclusions contained in the software and documentation
29 * are those of the authors and should not be interpreted as
30 * representing official policies, either expressed or implied, of
31 * Ecole Normale Superieure.
39 #include <isl/options.h>
41 #include <isl/union_map.h>
42 #include <isl/id_to_pw_aff.h>
46 struct isl_options
*isl
;
47 struct pet_options
*pet
;
52 ISL_ARGS_START(struct options
, options_args
)
53 ISL_ARG_CHILD(struct options
, isl
, "isl", &isl_options_args
, "isl options")
54 ISL_ARG_CHILD(struct options
, pet
, NULL
, &pet_options_args
, "pet options")
55 ISL_ARG_ARG(struct options
, schedule
, "schedule", NULL
)
56 ISL_ARG_ARG(struct options
, code
, "code", NULL
)
59 ISL_ARG_DEF(options
, struct options
, options_args
)
61 static __isl_give isl_pw_aff
*expr_extract_pw_aff(struct pet_expr
*expr
,
62 __isl_keep isl_space
*space
, __isl_keep isl_id_to_pw_aff
*assignments
);
64 /* Extract an affine expression from the call to floord in "expr",
65 * possibly exploiting "assignments".
67 * "space" is the iteration space of the statement containing the expression.
69 static __isl_give isl_pw_aff
*expr_extract_floord(struct pet_expr
*expr
,
70 __isl_keep isl_space
*space
, __isl_keep isl_id_to_pw_aff
*assignments
)
72 isl_pw_aff
*lhs
, *rhs
;
74 lhs
= expr_extract_pw_aff(expr
->args
[0], space
, assignments
);
75 rhs
= expr_extract_pw_aff(expr
->args
[1], space
, assignments
);
76 return isl_pw_aff_floor(isl_pw_aff_div(lhs
, rhs
));
79 /* Extract an affine expression from the call in "expr",
80 * possibly exploiting "assignments".
82 * "space" is the iteration space of the statement containing the expression.
84 * We only support calls to the "floord" function for now.
86 static __isl_give isl_pw_aff
*call_expr_extract_pw_aff(struct pet_expr
*expr
,
87 __isl_keep isl_space
*space
, __isl_keep isl_id_to_pw_aff
*assignments
)
89 assert(!strcmp(expr
->name
, "floord"));
91 return expr_extract_floord(expr
, space
, assignments
);
94 /* Is the variable accessed by "index" assigned in "assignments"?
96 * The assignments map variable identifiers to functions of the form
100 static int is_assigned(__isl_keep isl_multi_pw_aff
*index
,
101 __isl_keep isl_id_to_pw_aff
*assignments
)
106 var
= isl_multi_pw_aff_get_tuple_id(index
, isl_dim_out
);
107 assigned
= isl_id_to_pw_aff_has(assignments
, var
);
113 /* Apply the appropriate assignment in "assignments"
114 * to the index expression "index".
116 * "index" is of the form
118 * { access_domain -> variable }
120 * "assignments" maps variable identifiers to functions of the form
122 * { assignment_domain -> value }
124 * We assume the assignment precedes the access in the code.
125 * In particular, we assume that the loops around the assignment
126 * are the same as the first loops around the access.
130 * { access_domain -> assignment_domain }
132 * equating the iterators of assignment_domain to the corresponding iterators
133 * in access_domain and then plug that into the assigned value, obtaining
135 * { access_domain -> value }
137 static __isl_give isl_pw_aff
*apply_assignment(
138 __isl_take isl_multi_pw_aff
*index
,
139 __isl_keep isl_id_to_pw_aff
*assignments
)
145 isl_space
*space
, *dom_space
;
149 id
= isl_multi_pw_aff_get_tuple_id(index
, isl_dim_out
);
150 dom
= isl_multi_pw_aff_domain(index
);
151 val
= isl_id_to_pw_aff_get(assignments
, id
);
152 space
= isl_pw_aff_get_domain_space(val
);
153 dom_space
= isl_set_get_space(dom
);
154 space
= isl_space_map_from_domain_and_range(dom_space
, space
);
155 ma
= isl_multi_aff_zero(space
);
156 ls
= isl_local_space_from_space(isl_set_get_space(dom
));
157 n
= isl_multi_aff_dim(ma
, isl_dim_out
);
158 for (i
= 0; i
< n
; ++i
) {
161 aff
= isl_aff_var_on_domain(isl_local_space_copy(ls
),
163 ma
= isl_multi_aff_set_aff(ma
, i
, aff
);
165 isl_local_space_free(ls
);
167 val
= isl_pw_aff_pullback_multi_aff(val
, ma
);
168 val
= isl_pw_aff_intersect_domain(val
, dom
);
173 /* Extract an affine expression from the access to a named space in "index",
174 * possibly exploiting "assignments".
176 * If the variable has been assigned a value, we return the corresponding
177 * assignment. Otherwise, we assume we are accessing a 0D space and
178 * we turn that into an expression equal to a parameter of the same name.
180 static __isl_give isl_pw_aff
*resolve_access(__isl_take isl_multi_pw_aff
*index
,
181 __isl_keep isl_id_to_pw_aff
*assignments
)
189 if (is_assigned(index
, assignments
))
190 return apply_assignment(index
, assignments
);
192 id
= isl_multi_pw_aff_get_tuple_id(index
, isl_dim_out
);
193 dom
= isl_multi_pw_aff_domain(index
);
194 dom
= isl_set_insert_dims(dom
, isl_dim_param
, 0, 1);
195 dom
= isl_set_set_dim_id(dom
, isl_dim_param
, 0, id
);
196 ls
= isl_local_space_from_space(isl_set_get_space(dom
));
197 aff
= isl_aff_var_on_domain(ls
, isl_dim_param
, 0);
198 pa
= isl_pw_aff_alloc(dom
, aff
);
203 /* Extract an affine expression from the access expression "expr",
204 * possibly exploiting "assignments".
206 * If we are accessing a (1D) anonymous space, then we are actually
207 * computing an affine expression and we simply return that expression.
208 * Otherwise, we try and convert the access to an affine expression in
211 static __isl_give isl_pw_aff
*access_expr_extract_pw_aff(struct pet_expr
*expr
,
212 __isl_keep isl_id_to_pw_aff
*assignments
)
216 if (isl_multi_pw_aff_has_tuple_id(expr
->acc
.index
, isl_dim_out
)) {
217 isl_multi_pw_aff
*index
;
218 index
= isl_multi_pw_aff_copy(expr
->acc
.index
);
219 pa
= resolve_access(index
, assignments
);
221 pa
= isl_multi_pw_aff_get_pw_aff(expr
->acc
.index
, 0);
225 /* Extract an affine expression defined over iteration space "space"
226 * from the integer expression "expr".
228 static __isl_give isl_pw_aff
*int_expr_extract_pw_aff(struct pet_expr
*expr
,
229 __isl_keep isl_space
*space
)
234 ls
= isl_local_space_from_space(isl_space_copy(space
));
235 aff
= isl_aff_zero_on_domain(ls
);
236 aff
= isl_aff_add_constant_val(aff
, isl_val_copy(expr
->i
));
237 return isl_pw_aff_from_aff(aff
);
240 /* Extract an affine expression from the operation in "expr",
241 * possibly exploiting "assignments".
243 * "space" is the iteration space of the statement containing the expression.
245 * We only handle the kinds of expressions that we would expect
246 * as arguments to a function call in code generated by isl.
248 static __isl_give isl_pw_aff
*op_expr_extract_pw_aff(struct pet_expr
*expr
,
249 __isl_keep isl_space
*space
, __isl_keep isl_id_to_pw_aff
*assignments
)
251 isl_pw_aff
*pa
, *pa1
, *pa2
;
253 switch (expr
->n_arg
) {
255 if (expr
->op
== pet_op_minus
) {
256 pa
= expr_extract_pw_aff(expr
->args
[0], space
,
258 return isl_pw_aff_neg(pa
);
262 pa1
= expr_extract_pw_aff(expr
->args
[0], space
, assignments
);
263 pa2
= expr_extract_pw_aff(expr
->args
[1], space
, assignments
);
266 pa
= isl_pw_aff_mul(pa1
, pa2
);
269 pa
= isl_pw_aff_add(pa1
, pa2
);
272 pa
= isl_pw_aff_sub(pa1
, pa2
);
275 pa
= isl_pw_aff_tdiv_q(pa1
, pa2
);
278 pa
= isl_pw_aff_tdiv_r(pa1
, pa2
);
285 pa
= expr_extract_pw_aff(expr
->args
[0], space
, assignments
);
286 pa1
= expr_extract_pw_aff(expr
->args
[1], space
, assignments
);
287 pa2
= expr_extract_pw_aff(expr
->args
[2], space
, assignments
);
288 return isl_pw_aff_cond(pa
, pa1
, pa2
);
294 /* Extract an affine expression from "expr", possibly exploiting "assignments",
295 * in the form of an isl_pw_aff.
297 * "space" is the iteration space of the statement containing the expression.
299 * We only handle the kinds of expressions that we would expect
300 * as arguments to a function call in code generated by isl.
302 static __isl_give isl_pw_aff
*expr_extract_pw_aff(struct pet_expr
*expr
,
303 __isl_keep isl_space
*space
, __isl_keep isl_id_to_pw_aff
*assignments
)
305 switch (expr
->type
) {
307 return int_expr_extract_pw_aff(expr
, space
);
308 case pet_expr_access
:
309 return access_expr_extract_pw_aff(expr
, assignments
);
311 return op_expr_extract_pw_aff(expr
, space
, assignments
);
313 return call_expr_extract_pw_aff(expr
, space
, assignments
);
315 case pet_expr_double
:
320 /* Extract an affine expression from "expr", possibly exploiting "assignments",
321 * in the form of an isl_map.
323 * "space" is the iteration space of the statement containing the expression.
325 static __isl_give isl_map
*expr_extract_map(struct pet_expr
*expr
,
326 __isl_keep isl_space
*space
, __isl_keep isl_id_to_pw_aff
*assignments
)
330 pa
= expr_extract_pw_aff(expr
, space
, assignments
);
331 return isl_map_from_pw_aff(pa
);
334 /* Extract a call from "stmt", possibly exploiting "assignments".
336 * The returned map is of the form
338 * { domain -> function[arguments] }
340 static __isl_give isl_map
*stmt_extract_call(struct pet_stmt
*stmt
,
341 __isl_keep isl_id_to_pw_aff
*assignments
)
347 domain
= isl_set_copy(stmt
->domain
);
348 call
= isl_map_from_domain(domain
);
350 assert(stmt
->body
->type
== pet_expr_call
);
352 for (i
= 0; i
< stmt
->body
->n_arg
; ++i
) {
356 space
= pet_stmt_get_space(stmt
);
357 arg
= expr_extract_map(stmt
->body
->args
[i
], space
, assignments
);
358 isl_space_free(space
);
359 call
= isl_map_flat_range_product(call
, arg
);
362 call
= isl_map_set_tuple_name(call
, isl_dim_out
, stmt
->body
->name
);
367 /* Add the assignment in "stmt" to "assignments".
369 * We extract the accessed variable identifier "var"
370 * and the assigned value
372 * { domain -> value }
374 * and map "var" to this value in "assignments", replacing
375 * any possible previously assigned value to the same variable.
377 static __isl_give isl_id_to_pw_aff
*add_assignment(
378 __isl_take isl_id_to_pw_aff
*assignments
, struct pet_stmt
*stmt
)
384 assert(stmt
->body
->op
== pet_op_assign
);
385 assert(stmt
->body
->args
[0]->type
== pet_expr_access
);
386 var
= isl_map_get_tuple_id(stmt
->body
->args
[0]->acc
.access
,
388 space
= pet_stmt_get_space(stmt
);
389 val
= expr_extract_pw_aff(stmt
->body
->args
[1], space
, assignments
);
390 isl_space_free(space
);
392 assignments
= isl_id_to_pw_aff_set(assignments
, var
, val
);
397 /* Extract a mapping from the iterations domains of "scop" to
398 * the calls in the corresponding statements.
400 * While scanning "scop", we keep track of assignments to variables
401 * so that we can plug them in in the arguments of the calls.
402 * Note that we do not perform any dependence analysis on the assigned
403 * variables. In code generated by isl, such assignments should only
404 * appear immediately before they are used.
406 * The assignments are kept as an associative array between
407 * variable identifiers and assignments of the form
409 * { domain -> value }
411 * We skip kill statements.
412 * Other than assignments and kill statements, all statements are assumed
413 * to be function calls.
415 static __isl_give isl_union_map
*scop_collect_calls(struct pet_scop
*scop
)
420 isl_id_to_pw_aff
*assignments
;
426 call
= isl_union_map_empty(isl_set_get_space(scop
->context
));
427 ctx
= isl_set_get_ctx(scop
->context
);
428 assignments
= isl_id_to_pw_aff_alloc(ctx
, 0);
430 for (i
= 0; i
< scop
->n_stmt
; ++i
) {
431 struct pet_stmt
*stmt
;
433 stmt
= scop
->stmts
[i
];
434 if (pet_stmt_is_assign(stmt
)) {
435 assignments
= add_assignment(assignments
, stmt
);
438 if (pet_stmt_is_kill(stmt
))
440 call_i
= stmt_extract_call(scop
->stmts
[i
], assignments
);
441 call
= isl_union_map_add_map(call
, call_i
);
444 isl_id_to_pw_aff_free(assignments
);
449 /* Extract a schedule on the original domains from "scop".
450 * The original domain elements appear as calls in "scop".
452 * We first extract a schedule on the code iteration domains
453 * and a mapping from the code iteration domains to the calls
454 * (i.e., the original domain) and then combine the two.
456 static __isl_give isl_union_map
*extract_code_schedule(struct pet_scop
*scop
)
458 isl_union_map
*schedule
;
459 isl_union_map
*calls
;
461 schedule
= pet_scop_collect_schedule(scop
);
463 calls
= scop_collect_calls(scop
);
465 schedule
= isl_union_map_apply_domain(schedule
, calls
);
470 /* Check that schedule and code_schedule have the same domain,
471 * i.e., that they execute the same statement instances.
473 static int check_domain(__isl_keep isl_union_map
*schedule
,
474 __isl_keep isl_union_map
*code_schedule
)
476 isl_union_set
*dom1
, *dom2
;
482 dom1
= isl_union_map_domain(isl_union_map_copy(schedule
));
483 dom2
= isl_union_map_domain(isl_union_map_copy(code_schedule
));
484 equal
= isl_union_set_is_equal(dom1
, dom2
);
489 isl_union_set_dump(dom1
);
490 isl_union_set_dump(dom2
);
491 isl_die(isl_union_map_get_ctx(schedule
), isl_error_unknown
,
492 "domains not identical", r
= -1);
495 isl_union_set_free(dom1
);
496 isl_union_set_free(dom2
);
501 /* Check that the relative order specified by the input schedule is respected
502 * by the schedule extracted from the code, in case the original schedule
505 * In particular, check that there is no pair of statement instances
506 * such that the first should be scheduled _before_ the second,
507 * but is actually scheduled _after_ the second in the code.
509 static int check_order_sv(__isl_keep isl_union_map
*schedule
,
510 __isl_keep isl_union_map
*code_schedule
)
516 t1
= isl_union_map_lex_lt_union_map(isl_union_map_copy(schedule
),
517 isl_union_map_copy(schedule
));
518 t2
= isl_union_map_lex_gt_union_map(isl_union_map_copy(code_schedule
),
519 isl_union_map_copy(code_schedule
));
520 t1
= isl_union_map_intersect(t1
, t2
);
521 empty
= isl_union_map_is_empty(t1
);
522 isl_union_map_free(t1
);
527 isl_die(isl_union_map_get_ctx(schedule
), isl_error_unknown
,
528 "order not respected", return -1);
533 /* Check that the relative order specified by the input schedule is respected
534 * by the schedule extracted from the code, in case the original schedule
535 * is not single valued.
537 * In particular, check that the order imposed by the schedules on pairs
538 * of statement instances is the same.
540 static int check_order_not_sv(__isl_keep isl_union_map
*schedule
,
541 __isl_keep isl_union_map
*code_schedule
)
547 t1
= isl_union_map_lex_lt_union_map(isl_union_map_copy(schedule
),
548 isl_union_map_copy(schedule
));
549 t2
= isl_union_map_lex_lt_union_map(isl_union_map_copy(code_schedule
),
550 isl_union_map_copy(code_schedule
));
551 equal
= isl_union_map_is_equal(t1
, t2
);
552 isl_union_map_free(t1
);
553 isl_union_map_free(t2
);
558 isl_die(isl_union_map_get_ctx(schedule
), isl_error_unknown
,
559 "order not respected", return -1);
564 /* Check that the relative order specified by the input schedule is respected
565 * by the schedule extracted from the code.
567 * "sv" indicated whether the original schedule is single valued.
568 * If so, we use a cheaper test. Otherwise, we fall back on a more
571 static int check_order(__isl_keep isl_union_map
*schedule
,
572 __isl_keep isl_union_map
*code_schedule
, int sv
)
575 return check_order_sv(schedule
, code_schedule
);
577 return check_order_not_sv(schedule
, code_schedule
);
580 /* If the original schedule was single valued ("sv" is set),
581 * then the schedule extracted from the code should be single valued as well.
583 static int check_single_valued(__isl_keep isl_union_map
*code_schedule
, int sv
)
588 sv
= isl_union_map_is_single_valued(code_schedule
);
593 isl_die(isl_union_map_get_ctx(code_schedule
), isl_error_unknown
,
594 "schedule not single valued", return -1);
599 /* Read a schedule and a context from the first argument and
600 * C code from the second argument and check that the C code
601 * corresponds to the schedule on the context.
603 * In particular, check that
604 * - the domains are identical, i.e., the calls in the C code
605 * correspond to the domain elements of the schedule
606 * - no function is called twice with the same arguments, provided
607 * the schedule is single-valued
608 * - the calls are performed in an order that is compatible
611 * If the schedule is not single-valued then we would have to check
612 * that each function with a given set of arguments is called
613 * the same number of times as there are images in the schedule,
614 * but this is considerably more difficult.
616 int main(int argc
, char **argv
)
620 isl_union_map
*schedule
, *code_schedule
;
621 struct pet_scop
*scop
;
622 struct options
*options
;
627 options
= options_new_with_defaults();
629 ctx
= isl_ctx_alloc_with_options(&options_args
, options
);
630 pet_options_set_signed_overflow(ctx
, PET_OVERFLOW_IGNORE
);
631 argc
= options_parse(options
, argc
, argv
, ISL_ARG_ALL
);
633 file
= fopen(options
->schedule
, "r");
635 schedule
= isl_union_map_read_from_file(ctx
, file
);
636 context
= isl_set_read_from_file(ctx
, file
);
639 scop
= pet_scop_extract_from_C_source(ctx
, options
->code
, NULL
);
641 schedule
= isl_union_map_intersect_params(schedule
,
642 isl_set_copy(context
));
643 code_schedule
= extract_code_schedule(scop
);
644 code_schedule
= isl_union_map_intersect_params(code_schedule
, context
);
646 sv
= isl_union_map_is_single_valued(schedule
);
648 check_domain(schedule
, code_schedule
) ||
649 check_single_valued(code_schedule
, sv
) ||
650 check_order(schedule
, code_schedule
, sv
);
653 isl_union_map_free(schedule
);
654 isl_union_map_free(code_schedule
);