2 * Copyright 2012 Ecole Normale Superieure. All rights reserved.
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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.
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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
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20 * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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31 * Ecole Normale Superieure.
40 #include <isl/union_map.h>
41 #include <isl/id_to_pw_aff.h>
45 struct pet_options
*pet
;
50 ISL_ARGS_START(struct options
, options_args
)
51 ISL_ARG_CHILD(struct options
, pet
, NULL
, &pet_options_args
, "pet options")
52 ISL_ARG_ARG(struct options
, schedule
, "schedule", NULL
)
53 ISL_ARG_ARG(struct options
, code
, "code", NULL
)
56 ISL_ARG_DEF(options
, struct options
, options_args
)
58 static __isl_give isl_pw_aff
*expr_extract_pw_aff(struct pet_expr
*expr
,
59 __isl_keep isl_id_to_pw_aff
*assignments
);
61 /* Extract an affine expression from the call to floord in "expr",
62 * possibly exploiting "assignments".
64 static __isl_give isl_pw_aff
*expr_extract_floord(struct pet_expr
*expr
,
65 __isl_keep isl_id_to_pw_aff
*assignments
)
67 isl_pw_aff
*lhs
, *rhs
;
69 lhs
= expr_extract_pw_aff(expr
->args
[0], assignments
);
70 rhs
= expr_extract_pw_aff(expr
->args
[1], assignments
);
71 return isl_pw_aff_floor(isl_pw_aff_div(lhs
, rhs
));
74 /* Extract an affine expression from the call in "expr",
75 * possibly exploiting "assignments".
77 * We only support calls to the "floord" function for now.
79 static __isl_give isl_pw_aff
*call_expr_extract_pw_aff(struct pet_expr
*expr
,
80 __isl_keep isl_id_to_pw_aff
*assignments
)
82 assert(!strcmp(expr
->name
, "floord"));
84 return expr_extract_floord(expr
, assignments
);
87 /* Is the variable accessed by "index" assigned in "assignments"?
89 * The assignments map variable identifiers to functions of the form
93 static int is_assigned(__isl_keep isl_multi_pw_aff
*index
,
94 __isl_keep isl_id_to_pw_aff
*assignments
)
99 var
= isl_multi_pw_aff_get_tuple_id(index
, isl_dim_out
);
100 assigned
= isl_id_to_pw_aff_has(assignments
, var
);
106 /* Apply the appropriate assignment in "assignments"
107 * to the index expression "index".
109 * "index" is of the form
111 * { access_domain -> variable }
113 * "assignments" maps variable identifiers to functions of the form
115 * { assignment_domain -> value }
117 * We assume the assignment precedes the access in the code.
118 * In particular, we assume that the loops around the assignment
119 * are the same as the first loops around the access.
123 * { access_domain -> assignment_domain }
125 * equating the iterators of assignment_domain to the corresponding iterators
126 * in access_domain and then plug that into the assigned value, obtaining
128 * { access_domain -> value }
130 static __isl_give isl_pw_aff
*apply_assignment(
131 __isl_take isl_multi_pw_aff
*index
,
132 __isl_keep isl_id_to_pw_aff
*assignments
)
138 isl_space
*space
, *dom_space
;
142 id
= isl_multi_pw_aff_get_tuple_id(index
, isl_dim_out
);
143 dom
= isl_multi_pw_aff_domain(index
);
144 val
= isl_id_to_pw_aff_get(assignments
, id
);
145 space
= isl_pw_aff_get_domain_space(val
);
146 dom_space
= isl_set_get_space(dom
);
147 space
= isl_space_map_from_domain_and_range(dom_space
, space
);
148 ma
= isl_multi_aff_zero(space
);
149 ls
= isl_local_space_from_space(isl_set_get_space(dom
));
150 n
= isl_multi_aff_dim(ma
, isl_dim_out
);
151 for (i
= 0; i
< n
; ++i
) {
154 aff
= isl_aff_var_on_domain(isl_local_space_copy(ls
),
156 ma
= isl_multi_aff_set_aff(ma
, i
, aff
);
158 isl_local_space_free(ls
);
160 val
= isl_pw_aff_pullback_multi_aff(val
, ma
);
161 val
= isl_pw_aff_intersect_domain(val
, dom
);
166 /* Extract an affine expression from the access to a named space in "index",
167 * possibly exploiting "assignments".
169 * If the variable has been assigned a value, we return the corresponding
170 * assignment. Otherwise, we assume we are accessing a 0D space and
171 * we turn that into an expression equal to a parameter of the same name.
173 static __isl_give isl_pw_aff
*resolve_access(__isl_take isl_multi_pw_aff
*index
,
174 __isl_keep isl_id_to_pw_aff
*assignments
)
182 if (is_assigned(index
, assignments
))
183 return apply_assignment(index
, assignments
);
185 id
= isl_multi_pw_aff_get_tuple_id(index
, isl_dim_out
);
186 dom
= isl_multi_pw_aff_domain(index
);
187 dom
= isl_set_insert_dims(dom
, isl_dim_param
, 0, 1);
188 dom
= isl_set_set_dim_id(dom
, isl_dim_param
, 0, id
);
189 ls
= isl_local_space_from_space(isl_set_get_space(dom
));
190 aff
= isl_aff_var_on_domain(ls
, isl_dim_param
, 0);
191 pa
= isl_pw_aff_alloc(dom
, aff
);
196 /* Extract an affine expression from the access expression "expr",
197 * possibly exploiting "assignments".
199 * If we are accessing a (1D) anonymous space, then we are actually
200 * computing an affine expression and we simply return that expression.
201 * Otherwise, we try and convert the access to an affine expression in
204 static __isl_give isl_pw_aff
*access_expr_extract_pw_aff(struct pet_expr
*expr
,
205 __isl_keep isl_id_to_pw_aff
*assignments
)
209 if (isl_multi_pw_aff_has_tuple_id(expr
->acc
.index
, isl_dim_out
)) {
210 isl_multi_pw_aff
*index
;
211 index
= isl_multi_pw_aff_copy(expr
->acc
.index
);
212 pa
= resolve_access(index
, assignments
);
214 pa
= isl_multi_pw_aff_get_pw_aff(expr
->acc
.index
, 0);
218 /* Extract an affine expression from "expr", possibly exploiting "assignments",
219 * in the form of an isl_pw_aff.
221 * We only handle the kinds of expressions that we would expect
222 * as arguments to a function call in code generated by isl.
224 static __isl_give isl_pw_aff
*expr_extract_pw_aff(struct pet_expr
*expr
,
225 __isl_keep isl_id_to_pw_aff
*assignments
)
227 isl_pw_aff
*pa
, *pa1
, *pa2
;
229 switch (expr
->type
) {
230 case pet_expr_access
:
231 return access_expr_extract_pw_aff(expr
, assignments
);
233 if (expr
->op
== pet_op_minus
) {
234 pa
= expr_extract_pw_aff(expr
->args
[0], assignments
);
235 return isl_pw_aff_neg(pa
);
238 case pet_expr_binary
:
239 pa1
= expr_extract_pw_aff(expr
->args
[0], assignments
);
240 pa2
= expr_extract_pw_aff(expr
->args
[1], assignments
);
243 pa
= isl_pw_aff_mul(pa1
, pa2
);
246 pa
= isl_pw_aff_add(pa1
, pa2
);
249 pa
= isl_pw_aff_sub(pa1
, pa2
);
252 pa
= isl_pw_aff_tdiv_q(pa1
, pa2
);
255 pa
= isl_pw_aff_tdiv_r(pa1
, pa2
);
262 return call_expr_extract_pw_aff(expr
, assignments
);
263 case pet_expr_ternary
:
264 pa
= expr_extract_pw_aff(expr
->args
[0], assignments
);
265 pa1
= expr_extract_pw_aff(expr
->args
[1], assignments
);
266 pa2
= expr_extract_pw_aff(expr
->args
[2], assignments
);
267 return isl_pw_aff_cond(pa
, pa1
, pa2
);
269 case pet_expr_double
:
274 /* Extract an affine expression from "expr", possibly exploiting "assignments",
275 * in the form of an isl_map.
277 static __isl_give isl_map
*expr_extract_map(struct pet_expr
*expr
,
278 __isl_keep isl_id_to_pw_aff
*assignments
)
280 return isl_map_from_pw_aff(expr_extract_pw_aff(expr
, assignments
));
283 /* Extract a call from "stmt", possibly exploiting "assignments".
285 * The returned map is of the form
287 * { domain -> function[arguments] }
289 static __isl_give isl_map
*stmt_extract_call(struct pet_stmt
*stmt
,
290 __isl_keep isl_id_to_pw_aff
*assignments
)
296 domain
= isl_set_copy(stmt
->domain
);
297 call
= isl_map_from_domain(domain
);
299 assert(stmt
->body
->type
== pet_expr_call
);
301 for (i
= 0; i
< stmt
->body
->n_arg
; ++i
) {
304 arg
= expr_extract_map(stmt
->body
->args
[i
], assignments
);
305 call
= isl_map_flat_range_product(call
, arg
);
308 call
= isl_map_set_tuple_name(call
, isl_dim_out
, stmt
->body
->name
);
313 /* Add the assignment in "stmt" to "assignments".
315 * We extract the accessed variable identifier "var"
316 * and the assigned value
318 * { domain -> value }
320 * and map "var" to this value in "assignments", replacing
321 * any possible previously assigned value to the same variable.
323 static __isl_give isl_id_to_pw_aff
*add_assignment(
324 __isl_take isl_id_to_pw_aff
*assignments
, struct pet_stmt
*stmt
)
329 assert(stmt
->body
->op
== pet_op_assign
);
330 assert(stmt
->body
->args
[0]->type
== pet_expr_access
);
331 var
= isl_map_get_tuple_id(stmt
->body
->args
[0]->acc
.access
,
333 val
= expr_extract_pw_aff(stmt
->body
->args
[1], assignments
);
335 assignments
= isl_id_to_pw_aff_set(assignments
, var
, val
);
340 /* Is "stmt" a kill statement?
342 static int is_kill(struct pet_stmt
*stmt
)
344 if (stmt
->body
->type
!= pet_expr_unary
)
346 return stmt
->body
->op
== pet_op_kill
;
349 /* Extract a mapping from the iterations domains of "scop" to
350 * the calls in the corresponding statements.
352 * While scanning "scop", we keep track of assignments to variables
353 * so that we can plug them in in the arguments of the calls.
354 * Note that we do not perform any dependence analysis on the assigned
355 * variables. In code generated by isl, such assignments should only
356 * appear immediately before they are used.
358 * The assignments are kept as an associative array between
359 * variable identifiers and assignments of the form
361 * { domain -> value }
363 * We skip kill statements.
364 * Other than assignments and kill statements, all statements are assumed
365 * to be function calls.
367 static __isl_give isl_union_map
*scop_collect_calls(struct pet_scop
*scop
)
372 isl_id_to_pw_aff
*assignments
;
378 call
= isl_union_map_empty(isl_set_get_space(scop
->context
));
379 ctx
= isl_set_get_ctx(scop
->context
);
380 assignments
= isl_id_to_pw_aff_alloc(ctx
, 0);
382 for (i
= 0; i
< scop
->n_stmt
; ++i
) {
383 struct pet_stmt
*stmt
;
385 stmt
= scop
->stmts
[i
];
386 if (stmt
->body
->type
== pet_expr_binary
) {
387 assignments
= add_assignment(assignments
, stmt
);
392 call_i
= stmt_extract_call(scop
->stmts
[i
], assignments
);
393 call
= isl_union_map_add_map(call
, call_i
);
396 isl_id_to_pw_aff_free(assignments
);
401 /* Extract a schedule on the original domains from "scop".
402 * The original domain elements appear as calls in "scop".
404 * We first extract a schedule on the code iteration domains
405 * and a mapping from the code iteration domains to the calls
406 * (i.e., the original domain) and then combine the two.
408 static __isl_give isl_union_map
*extract_code_schedule(struct pet_scop
*scop
)
410 isl_union_map
*schedule
;
411 isl_union_map
*calls
;
413 schedule
= pet_scop_collect_schedule(scop
);
415 calls
= scop_collect_calls(scop
);
417 schedule
= isl_union_map_apply_domain(schedule
, calls
);
422 /* Check that schedule and code_schedule have the same domain,
423 * i.e., that they execute the same statement instances.
425 static int check_domain(__isl_keep isl_union_map
*schedule
,
426 __isl_keep isl_union_map
*code_schedule
)
428 isl_union_set
*dom1
, *dom2
;
433 dom1
= isl_union_map_domain(isl_union_map_copy(schedule
));
434 dom2
= isl_union_map_domain(isl_union_map_copy(code_schedule
));
435 equal
= isl_union_set_is_equal(dom1
, dom2
);
436 isl_union_set_free(dom1
);
437 isl_union_set_free(dom2
);
442 isl_die(isl_union_map_get_ctx(schedule
), isl_error_unknown
,
443 "domains not identical", return -1);
448 /* Check that the relative order specified by the input schedule is respected
449 * by the schedule extracted from the code, in case the original schedule
452 * In particular, check that there is no pair of statement instances
453 * such that the first should be scheduled _before_ the second,
454 * but is actually scheduled _after_ the second in the code.
456 static int check_order_sv(__isl_keep isl_union_map
*schedule
,
457 __isl_keep isl_union_map
*code_schedule
)
463 t1
= isl_union_map_lex_lt_union_map(isl_union_map_copy(schedule
),
464 isl_union_map_copy(schedule
));
465 t2
= isl_union_map_lex_gt_union_map(isl_union_map_copy(code_schedule
),
466 isl_union_map_copy(code_schedule
));
467 t1
= isl_union_map_intersect(t1
, t2
);
468 empty
= isl_union_map_is_empty(t1
);
469 isl_union_map_free(t1
);
474 isl_die(isl_union_map_get_ctx(schedule
), isl_error_unknown
,
475 "order not respected", return -1);
480 /* Check that the relative order specified by the input schedule is respected
481 * by the schedule extracted from the code, in case the original schedule
482 * is not single valued.
484 * In particular, check that the order imposed by the schedules on pairs
485 * of statement instances is the same.
487 static int check_order_not_sv(__isl_keep isl_union_map
*schedule
,
488 __isl_keep isl_union_map
*code_schedule
)
494 t1
= isl_union_map_lex_lt_union_map(isl_union_map_copy(schedule
),
495 isl_union_map_copy(schedule
));
496 t2
= isl_union_map_lex_lt_union_map(isl_union_map_copy(code_schedule
),
497 isl_union_map_copy(code_schedule
));
498 equal
= isl_union_map_is_equal(t1
, t2
);
499 isl_union_map_free(t1
);
500 isl_union_map_free(t2
);
505 isl_die(isl_union_map_get_ctx(schedule
), isl_error_unknown
,
506 "order not respected", return -1);
511 /* Check that the relative order specified by the input schedule is respected
512 * by the schedule extracted from the code.
514 * "sv" indicated whether the original schedule is single valued.
515 * If so, we use a cheaper test. Otherwise, we fall back on a more
518 static int check_order(__isl_keep isl_union_map
*schedule
,
519 __isl_keep isl_union_map
*code_schedule
, int sv
)
522 return check_order_sv(schedule
, code_schedule
);
524 return check_order_not_sv(schedule
, code_schedule
);
527 /* If the original schedule was single valued ("sv" is set),
528 * then the schedule extracted from the code should be single valued as well.
530 static int check_single_valued(__isl_keep isl_union_map
*code_schedule
, int sv
)
535 sv
= isl_union_map_is_single_valued(code_schedule
);
540 isl_die(isl_union_map_get_ctx(code_schedule
), isl_error_unknown
,
541 "schedule not single valued", return -1);
546 /* Read a schedule and a context from the first argument and
547 * C code from the second argument and check that the C code
548 * corresponds to the schedule on the context.
550 * In particular, check that
551 * - the domains are identical, i.e., the calls in the C code
552 * correspond to the domain elements of the schedule
553 * - no function is called twice with the same arguments, provided
554 * the schedule is single-valued
555 * - the calls are performed in an order that is compatible
558 * If the schedule is not single-valued then we would have to check
559 * that each function with a given set of arguments is called
560 * the same number of times as there are images in the schedule,
561 * but this is considerably more difficult.
563 int main(int argc
, char **argv
)
567 isl_union_map
*schedule
, *code_schedule
;
568 struct pet_scop
*scop
;
569 struct options
*options
;
574 options
= options_new_with_defaults();
576 ctx
= isl_ctx_alloc_with_options(&options_args
, options
);
577 pet_options_set_signed_overflow(ctx
, PET_OVERFLOW_IGNORE
);
578 argc
= options_parse(options
, argc
, argv
, ISL_ARG_ALL
);
580 file
= fopen(options
->schedule
, "r");
582 schedule
= isl_union_map_read_from_file(ctx
, file
);
583 context
= isl_set_read_from_file(ctx
, file
);
586 scop
= pet_scop_extract_from_C_source(ctx
, options
->code
, NULL
);
588 schedule
= isl_union_map_intersect_params(schedule
,
589 isl_set_copy(context
));
590 code_schedule
= extract_code_schedule(scop
);
591 code_schedule
= isl_union_map_intersect_params(code_schedule
, context
);
593 sv
= isl_union_map_is_single_valued(schedule
);
595 check_domain(schedule
, code_schedule
) ||
596 check_single_valued(code_schedule
, sv
) ||
597 check_order(schedule
, code_schedule
, sv
);
600 isl_union_map_free(schedule
);
601 isl_union_map_free(code_schedule
);