2 * Copyright 2012 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
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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
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31 * Ecole Normale Superieure.
40 #include <isl/union_map.h>
44 struct pet_options
*pet
;
49 ISL_ARGS_START(struct options
, options_args
)
50 ISL_ARG_CHILD(struct options
, pet
, NULL
, &pet_options_args
, "pet options")
51 ISL_ARG_ARG(struct options
, schedule
, "schedule", NULL
)
52 ISL_ARG_ARG(struct options
, code
, "code", NULL
)
55 ISL_ARG_DEF(options
, struct options
, options_args
)
57 static __isl_give isl_pw_aff
*expr_extract_pw_aff(struct pet_expr
*expr
,
58 __isl_keep isl_union_map
*assignments
);
60 /* Extract an affine expression from the call to floord in "expr",
61 * possibly exploiting "assignments".
63 static __isl_give isl_pw_aff
*expr_extract_floord(struct pet_expr
*expr
,
64 __isl_keep isl_union_map
*assignments
)
66 isl_pw_aff
*lhs
, *rhs
;
68 lhs
= expr_extract_pw_aff(expr
->args
[0], assignments
);
69 rhs
= expr_extract_pw_aff(expr
->args
[1], assignments
);
70 return isl_pw_aff_floor(isl_pw_aff_div(lhs
, rhs
));
73 /* Extract an affine expression from the call in "expr",
74 * possibly exploiting "assignments".
76 * We only support calls to the "floord" function for now.
78 static __isl_give isl_pw_aff
*call_expr_extract_pw_aff(struct pet_expr
*expr
,
79 __isl_keep isl_union_map
*assignments
)
81 assert(!strcmp(expr
->name
, "floord"));
83 return expr_extract_floord(expr
, assignments
);
86 /* Is the variable accessed by "access" assigned in "assignments"?
88 * The assignments are of the form
90 * { variable -> [domain -> value] }
92 static int is_assigned(__isl_keep isl_map
*access
,
93 __isl_keep isl_union_map
*assignments
)
99 var
= isl_union_set_from_set(isl_map_range(isl_map_copy(access
)));
100 test
= isl_union_map_copy(assignments
);
101 test
= isl_union_map_intersect_domain(test
, var
);
102 empty
= isl_union_map_is_empty(test
);
103 isl_union_map_free(test
);
108 /* Apply the appropriate assignment in "assignments" to the access "map".
110 * "map" is of the form
112 * { access_domain -> variable }
114 * "assignments" are of the form
116 * { variable -> [assignment_domain -> value] }
118 * We assume the assignment precedes the access in the code.
119 * In particular, we assume that the loops around the assignment
120 * are the same as the first loops around the access.
124 * { access_domain -> [assignment_domain -> value] }
126 * equate the iterators of assignment_domain to the corresponding iterators
127 * in access_domain and then project out assignment_domain, obtaining
129 * { access_domain -> value }
131 static __isl_give isl_map
*apply_assignment(__isl_take isl_map
*map
,
132 __isl_keep isl_union_map
*assignments
)
138 umap
= isl_union_map_from_map(map
);
139 umap
= isl_union_map_apply_range(umap
, isl_union_map_copy(assignments
));
140 map
= isl_map_from_union_map(umap
);
141 space
= isl_space_unwrap(isl_space_range(isl_map_get_space(map
)));
142 n
= isl_space_dim(space
, isl_dim_in
);
143 for (i
= 0; i
< n
; ++i
)
144 map
= isl_map_equate(map
, isl_dim_in
, i
, isl_dim_out
, i
);
145 map
= isl_map_apply_range(map
,
146 isl_map_range_map(isl_map_universe(space
)));
151 /* Extract an affine expression from the access to a named space in "access",
152 * possibly exploiting "assignments".
154 * If the variable has been assigned a value, we return the corresponding
155 * assignment. Otherwise, we assume we are accessing a 0D space and
156 * we turn that into an expression equal to a parameter of the same name.
158 static __isl_give isl_map
*resolve_access(__isl_take isl_map
*access
,
159 __isl_keep isl_union_map
*assignments
)
163 if (is_assigned(access
, assignments
))
164 return apply_assignment(access
, assignments
);
166 id
= isl_map_get_tuple_id(access
, isl_dim_out
);
167 access
= isl_map_insert_dims(access
, isl_dim_param
, 0, 1);
168 access
= isl_map_set_dim_id(access
, isl_dim_param
, 0, id
);
169 access
= isl_map_insert_dims(access
, isl_dim_out
, 0, 1);
170 access
= isl_map_equate(access
, isl_dim_param
, 0, isl_dim_out
, 0);
175 /* Extract an affine expression from the access expression "expr",
176 * possibly exploiting "assignments".
178 * If we are accessing a (1D) anonymous space, then we are actually
179 * computing an affine expression and we simply return that expression.
180 * Otherwise, we try and convert the access to an affine expression in
183 static __isl_give isl_pw_aff
*access_expr_extract_pw_aff(struct pet_expr
*expr
,
184 __isl_keep isl_union_map
*assignments
)
188 isl_pw_multi_aff
*pma
;
190 map
= isl_map_copy(expr
->acc
.access
);
191 if (isl_map_has_tuple_id(map
, isl_dim_out
))
192 map
= resolve_access(map
, assignments
);
193 pma
= isl_pw_multi_aff_from_map(map
);
194 pa
= isl_pw_multi_aff_get_pw_aff(pma
, 0);
195 isl_pw_multi_aff_free(pma
);
199 /* Extract an affine expression from "expr", possibly exploiting "assignments",
200 * in the form of an isl_pw_aff.
202 * We only handle the kinds of expressions that we would expect
203 * as arguments to a function call in code generated by isl.
205 static __isl_give isl_pw_aff
*expr_extract_pw_aff(struct pet_expr
*expr
,
206 __isl_keep isl_union_map
*assignments
)
208 isl_pw_aff
*pa
, *pa1
, *pa2
;
210 switch (expr
->type
) {
211 case pet_expr_access
:
212 return access_expr_extract_pw_aff(expr
, assignments
);
214 if (expr
->op
== pet_op_minus
) {
215 pa
= expr_extract_pw_aff(expr
->args
[0], assignments
);
216 return isl_pw_aff_neg(pa
);
219 case pet_expr_binary
:
220 pa1
= expr_extract_pw_aff(expr
->args
[0], assignments
);
221 pa2
= expr_extract_pw_aff(expr
->args
[1], assignments
);
224 pa
= isl_pw_aff_mul(pa1
, pa2
);
227 pa
= isl_pw_aff_add(pa1
, pa2
);
230 pa
= isl_pw_aff_sub(pa1
, pa2
);
233 pa
= isl_pw_aff_tdiv_q(pa1
, pa2
);
236 pa
= isl_pw_aff_tdiv_r(pa1
, pa2
);
243 return call_expr_extract_pw_aff(expr
, assignments
);
244 case pet_expr_ternary
:
245 pa
= expr_extract_pw_aff(expr
->args
[0], assignments
);
246 pa1
= expr_extract_pw_aff(expr
->args
[1], assignments
);
247 pa2
= expr_extract_pw_aff(expr
->args
[2], assignments
);
248 return isl_pw_aff_cond(pa
, pa1
, pa2
);
250 case pet_expr_double
:
255 /* Extract an affine expression from "expr", possibly exploiting "assignments",
256 * in the form of an isl_map.
258 static __isl_give isl_map
*expr_extract_map(struct pet_expr
*expr
,
259 __isl_keep isl_union_map
*assignments
)
261 return isl_map_from_pw_aff(expr_extract_pw_aff(expr
, assignments
));
264 /* Extract a call from "stmt", possibly exploiting "assignments".
266 * The returned map is of the form
268 * { domain -> function[arguments] }
270 static __isl_give isl_map
*stmt_extract_call(struct pet_stmt
*stmt
,
271 __isl_keep isl_union_map
*assignments
)
277 domain
= isl_set_copy(stmt
->domain
);
278 call
= isl_map_from_domain(domain
);
280 assert(stmt
->body
->type
== pet_expr_call
);
282 for (i
= 0; i
< stmt
->body
->n_arg
; ++i
) {
285 arg
= expr_extract_map(stmt
->body
->args
[i
], assignments
);
286 call
= isl_map_flat_range_product(call
, arg
);
289 call
= isl_map_set_tuple_name(call
, isl_dim_out
, stmt
->body
->name
);
294 /* Add the assignment in "stmt" to "assignments".
296 * We extract the variable access
298 * { domain -> variable }
300 * and the assigned value
302 * { domain -> value }
304 * and combined them into
306 * { variable -> [domain -> value] }
308 * We add this to "assignments" after having removed any
309 * previously assigned value to the same variable.
311 static __isl_give isl_union_map
*add_assignment(
312 __isl_take isl_union_map
*assignments
, struct pet_stmt
*stmt
)
318 assert(stmt
->body
->op
== pet_op_assign
);
319 assert(stmt
->body
->args
[0]->type
== pet_expr_access
);
320 var
= isl_map_copy(stmt
->body
->args
[0]->acc
.access
);
321 val
= expr_extract_map(stmt
->body
->args
[1], assignments
);
323 val
= isl_map_range_product(val
, var
);
324 val
= isl_map_uncurry(val
);
325 val
= isl_map_reverse(val
);
327 dom
= isl_set_universe(isl_space_domain(isl_map_get_space(val
)));
328 assignments
= isl_union_map_subtract_domain(assignments
,
329 isl_union_set_from_set(dom
));
330 assignments
= isl_union_map_add_map(assignments
, val
);
335 /* Is "stmt" a kill statement?
337 static int is_kill(struct pet_stmt
*stmt
)
339 if (stmt
->body
->type
!= pet_expr_unary
)
341 return stmt
->body
->op
== pet_op_kill
;
344 /* Extract a mapping from the iterations domains of "scop" to
345 * the calls in the corresponding statements.
347 * While scanning "scop", we keep track of assignments to variables
348 * so that we can plug them in in the arguments of the calls.
349 * Note that we do not perform any dependence analysis on the assigned
350 * variables. In code generated by isl, such assignments should only
351 * appear immediately before they are used.
353 * The assignments are kept in the form
355 * { variable -> [domain -> value] }
357 * We skip kill statements.
358 * Other than assignments and kill statements, all statements are assumed
359 * to be function calls.
361 static __isl_give isl_union_map
*scop_collect_calls(struct pet_scop
*scop
)
365 isl_union_map
*assignments
;
371 call
= isl_union_map_empty(isl_set_get_space(scop
->context
));
372 assignments
= isl_union_map_empty(isl_set_get_space(scop
->context
));
374 for (i
= 0; i
< scop
->n_stmt
; ++i
) {
375 struct pet_stmt
*stmt
;
377 stmt
= scop
->stmts
[i
];
378 if (stmt
->body
->type
== pet_expr_binary
) {
379 assignments
= add_assignment(assignments
, stmt
);
384 call_i
= stmt_extract_call(scop
->stmts
[i
], assignments
);
385 call
= isl_union_map_add_map(call
, call_i
);
388 isl_union_map_free(assignments
);
393 /* Extract a schedule on the original domains from "scop".
394 * The original domain elements appear as calls in "scop".
396 * We first extract a schedule on the code iteration domains
397 * and a mapping from the code iteration domains to the calls
398 * (i.e., the original domain) and then combine the two.
400 static __isl_give isl_union_map
*extract_code_schedule(struct pet_scop
*scop
)
402 isl_union_map
*schedule
;
403 isl_union_map
*calls
;
405 schedule
= pet_scop_collect_schedule(scop
);
407 calls
= scop_collect_calls(scop
);
409 schedule
= isl_union_map_apply_domain(schedule
, calls
);
414 /* Check that schedule and code_schedule have the same domain,
415 * i.e., that they execute the same statement instances.
417 static int check_domain(__isl_keep isl_union_map
*schedule
,
418 __isl_keep isl_union_map
*code_schedule
)
420 isl_union_set
*dom1
, *dom2
;
425 dom1
= isl_union_map_domain(isl_union_map_copy(schedule
));
426 dom2
= isl_union_map_domain(isl_union_map_copy(code_schedule
));
427 equal
= isl_union_set_is_equal(dom1
, dom2
);
428 isl_union_set_free(dom1
);
429 isl_union_set_free(dom2
);
434 isl_die(isl_union_map_get_ctx(schedule
), isl_error_unknown
,
435 "domains not identical", return -1);
440 /* Check that the relative order specified by the input schedule is respected
441 * by the schedule extracted from the code, in case the original schedule
444 * In particular, check that there is no pair of statement instances
445 * such that the first should be scheduled _before_ the second,
446 * but is actually scheduled _after_ the second in the code.
448 static int check_order_sv(__isl_keep isl_union_map
*schedule
,
449 __isl_keep isl_union_map
*code_schedule
)
455 t1
= isl_union_map_lex_lt_union_map(isl_union_map_copy(schedule
),
456 isl_union_map_copy(schedule
));
457 t2
= isl_union_map_lex_gt_union_map(isl_union_map_copy(code_schedule
),
458 isl_union_map_copy(code_schedule
));
459 t1
= isl_union_map_intersect(t1
, t2
);
460 empty
= isl_union_map_is_empty(t1
);
461 isl_union_map_free(t1
);
466 isl_die(isl_union_map_get_ctx(schedule
), isl_error_unknown
,
467 "order not respected", return -1);
472 /* Check that the relative order specified by the input schedule is respected
473 * by the schedule extracted from the code, in case the original schedule
474 * is not single valued.
476 * In particular, check that the order imposed by the schedules on pairs
477 * of statement instances is the same.
479 static int check_order_not_sv(__isl_keep isl_union_map
*schedule
,
480 __isl_keep isl_union_map
*code_schedule
)
486 t1
= isl_union_map_lex_lt_union_map(isl_union_map_copy(schedule
),
487 isl_union_map_copy(schedule
));
488 t2
= isl_union_map_lex_lt_union_map(isl_union_map_copy(code_schedule
),
489 isl_union_map_copy(code_schedule
));
490 equal
= isl_union_map_is_equal(t1
, t2
);
491 isl_union_map_free(t1
);
492 isl_union_map_free(t2
);
497 isl_die(isl_union_map_get_ctx(schedule
), isl_error_unknown
,
498 "order not respected", return -1);
503 /* Check that the relative order specified by the input schedule is respected
504 * by the schedule extracted from the code.
506 * "sv" indicated whether the original schedule is single valued.
507 * If so, we use a cheaper test. Otherwise, we fall back on a more
510 static int check_order(__isl_keep isl_union_map
*schedule
,
511 __isl_keep isl_union_map
*code_schedule
, int sv
)
514 return check_order_sv(schedule
, code_schedule
);
516 return check_order_not_sv(schedule
, code_schedule
);
519 /* If the original schedule was single valued ("sv" is set),
520 * then the schedule extracted from the code should be single valued as well.
522 static int check_single_valued(__isl_keep isl_union_map
*code_schedule
, int sv
)
527 sv
= isl_union_map_is_single_valued(code_schedule
);
532 isl_die(isl_union_map_get_ctx(code_schedule
), isl_error_unknown
,
533 "schedule not single valued", return -1);
538 /* Read a schedule and a context from the first argument and
539 * C code from the second argument and check that the C code
540 * corresponds to the schedule on the context.
542 * In particular, check that
543 * - the domains are identical, i.e., the calls in the C code
544 * correspond to the domain elements of the schedule
545 * - no function is called twice with the same arguments, provided
546 * the schedule is single-valued
547 * - the calls are performed in an order that is compatible
550 * If the schedule is not single-valued then we would have to check
551 * that each function with a given set of arguments is called
552 * the same number of times as there are images in the schedule,
553 * but this is considerably more difficult.
555 int main(int argc
, char **argv
)
559 isl_union_map
*schedule
, *code_schedule
;
560 struct pet_scop
*scop
;
561 struct options
*options
;
566 options
= options_new_with_defaults();
568 ctx
= isl_ctx_alloc_with_options(&options_args
, options
);
569 pet_options_set_signed_overflow(ctx
, PET_OVERFLOW_IGNORE
);
570 argc
= options_parse(options
, argc
, argv
, ISL_ARG_ALL
);
572 file
= fopen(options
->schedule
, "r");
574 schedule
= isl_union_map_read_from_file(ctx
, file
);
575 context
= isl_set_read_from_file(ctx
, file
);
578 scop
= pet_scop_extract_from_C_source(ctx
, options
->code
, NULL
);
580 schedule
= isl_union_map_intersect_params(schedule
,
581 isl_set_copy(context
));
582 code_schedule
= extract_code_schedule(scop
);
583 code_schedule
= isl_union_map_intersect_params(code_schedule
, context
);
585 sv
= isl_union_map_is_single_valued(schedule
);
587 check_domain(schedule
, code_schedule
) ||
588 check_single_valued(code_schedule
, sv
) ||
589 check_order(schedule
, code_schedule
, sv
);
592 isl_union_map_free(schedule
);
593 isl_union_map_free(code_schedule
);