2 * Copyright 2010-2011 INRIA Saclay
3 * Copyright 2012-2013 Ecole Normale Superieure
5 * Use of this software is governed by the MIT license
7 * Written by Sven Verdoolaege, INRIA Saclay - Ile-de-France,
8 * Parc Club Orsay Universite, ZAC des vignes, 4 rue Jacques Monod,
10 * and Ecole Normale Superieure, 45 rue d’Ulm, 75230 Paris, France
17 #include <isl/polynomial.h>
18 #include <isl/union_set.h>
22 #include <isl/schedule.h>
23 #include <isl/schedule_node.h>
24 #include <isl/options.h>
25 #include <isl/ast_build.h>
29 #include "gpu_array_tile.h"
30 #include "gpu_group.h"
32 #include "ppcg_options.h"
35 struct gpu_array_info
;
37 /* Collect all references to the given array and store pointers to them
40 * If the array contains structures, then there is no need to collect
41 * the references since we will not be computing any reference groups.
43 static void collect_references(struct gpu_prog
*prog
,
44 struct gpu_array_info
*array
)
49 if (array
->has_compound_element
)
53 for (i
= 0; i
< prog
->n_stmts
; ++i
) {
54 struct gpu_stmt
*stmt
= &prog
->stmts
[i
];
55 struct gpu_stmt_access
*access
;
57 for (access
= stmt
->accesses
; access
; access
= access
->next
) {
59 name
= isl_map_get_tuple_name(access
->access
,
61 if (name
&& !strcmp(array
->name
, name
))
67 array
->refs
= isl_alloc_array(prog
->ctx
, struct gpu_stmt_access
*, n
);
71 for (i
= 0; i
< prog
->n_stmts
; ++i
) {
72 struct gpu_stmt
*stmt
= &prog
->stmts
[i
];
73 struct gpu_stmt_access
*access
;
75 for (access
= stmt
->accesses
; access
; access
= access
->next
) {
77 name
= isl_map_get_tuple_name(access
->access
,
79 if (!name
|| strcmp(array
->name
, name
))
82 array
->refs
[n
++] = access
;
87 /* Compute and return the extent of "array", taking into account the set of
90 * In particular, the extent in the outer dimension is taken
91 * from "accessed", while the extents in the remaining dimensions
92 * are taken from array->extent.
94 * The extent in the outer dimension cannot be taken from array->extent
95 * because that may be unbounded. Furthermore, even if it is bounded,
96 * it may be larger than the piece of the array that is being accessed.
98 static __isl_give isl_set
*compute_extent(struct pet_array
*array
,
99 __isl_keep isl_set
*accessed
)
106 extent
= isl_set_copy(array
->extent
);
108 n_index
= isl_set_dim(accessed
, isl_dim_set
);
112 extent
= isl_set_project_out(extent
, isl_dim_set
, 0, 1);
113 outer
= isl_set_copy(accessed
);
114 outer
= isl_set_project_out(outer
, isl_dim_set
, 1, n_index
- 1);
115 extent
= isl_set_flat_product(outer
, extent
);
116 id
= isl_set_get_tuple_id(accessed
);
117 extent
= isl_set_set_tuple_id(extent
, id
);
122 /* Is the array "array" being extracted a read-only scalar?
124 * That is, is "array" a scalar that is never possibly written to.
125 * An array containing structures is never considered to be a scalar.
127 static int is_read_only_scalar(struct gpu_array_info
*array
,
128 struct gpu_prog
*prog
)
131 isl_union_map
*write
;
134 if (array
->has_compound_element
)
136 if (array
->n_index
!= 0)
139 write
= isl_union_map_copy(prog
->may_write
);
140 space
= isl_set_universe(isl_space_copy(array
->space
));
141 write
= isl_union_map_intersect_range(write
,
142 isl_union_set_from_set(space
));
143 empty
= isl_union_map_is_empty(write
);
144 isl_union_map_free(write
);
149 /* Compute bounds on the host array "pa" based on the corresponding
150 * accessed elements in "arrays"
151 * and collect all references to the array.
152 * Store the results in "info".
154 * If the array is zero-dimensional and does not contain structures,
155 * i.e., if the array is a scalar, we check whether it is read-only.
156 * We also check whether the array is accessed at all.
158 static int extract_array_info(struct gpu_prog
*prog
,
159 struct gpu_array_info
*info
, struct pet_array
*pa
,
160 __isl_keep isl_union_set
*arrays
)
166 isl_set
*accessed
, *extent
;
168 n_index
= isl_set_dim(pa
->extent
, isl_dim_set
);
169 name
= isl_set_get_tuple_name(pa
->extent
);
170 bounds
= isl_alloc_array(prog
->ctx
, isl_pw_aff
*, n_index
);
174 info
->space
= isl_set_get_space(pa
->extent
);
175 info
->name
= strdup(name
);
176 info
->n_index
= n_index
;
177 info
->bound
= bounds
;
178 info
->linearize
= prog
->scop
->options
->linearize_device_arrays
;
180 info
->type
= strdup(pa
->element_type
);
181 info
->size
= pa
->element_size
;
182 info
->local
= pa
->declared
&& !pa
->exposed
;
183 info
->has_compound_element
= pa
->element_is_record
;
184 info
->read_only_scalar
= is_read_only_scalar(info
, prog
);
186 accessed
= isl_union_set_extract_set(arrays
,
187 isl_space_copy(info
->space
));
188 empty
= isl_set_is_empty(accessed
);
189 extent
= compute_extent(pa
, accessed
);
190 isl_set_free(accessed
);
191 info
->extent
= extent
;
194 info
->accessed
= !empty
;
195 for (i
= 0; i
< n_index
; ++i
) {
201 dom
= isl_set_copy(extent
);
202 dom
= isl_set_project_out(dom
, isl_dim_set
, i
+ 1,
204 dom
= isl_set_project_out(dom
, isl_dim_set
, 0, i
);
205 if (!isl_set_dim_has_upper_bound(dom
, isl_dim_set
, 0)) {
206 fprintf(stderr
, "unable to determine extent of '%s' "
207 "in dimension %d\n", info
->name
, i
);
208 dom
= isl_set_free(dom
);
210 bound
= isl_set_dim_max(dom
, 0);
211 dom
= isl_pw_aff_domain(isl_pw_aff_copy(bound
));
212 ls
= isl_local_space_from_space(isl_set_get_space(dom
));
213 one
= isl_aff_zero_on_domain(ls
);
214 one
= isl_aff_add_constant_si(one
, 1);
215 bound
= isl_pw_aff_add(bound
, isl_pw_aff_alloc(dom
, one
));
216 bound
= isl_pw_aff_gist(bound
, isl_set_copy(prog
->context
));
219 if (!isl_pw_aff_is_cst(bound
))
223 collect_references(prog
, info
);
228 /* Remove independence from the order constraints "order" on array "array".
229 * Since the pairs of iterations in the filter relation of an independence
230 * are guaranteed to be completely independent by the user, there is
231 * no need to ensure that live ranges are ordered along thong pairs.
232 * We make an exception for local variables, though, as the independence
233 * guarantee does not apply to those.
235 * The order constraints are used in two places.
236 * Those on scalars are used in check_scalar_live_ranges to check if
237 * we need to force the scalar to be private. Any non-local scalar
238 * should not be forced scalar if it only appears in independent loops.
239 * Those on non-scalars are added to the coincidence constraints
240 * in compute_schedule because we do not support any array expansion.
241 * Accesses to non-local arrays should not prevent a loop from being
242 * considered coincident so we should indeed remove those constraints
243 * from the order constraints.
245 static __isl_give isl_union_map
*remove_independences(struct gpu_prog
*prog
,
246 struct gpu_array_info
*array
, __isl_take isl_union_map
*order
)
250 for (i
= 0; i
< prog
->scop
->pet
->n_independence
; ++i
) {
251 struct pet_independence
*pi
= prog
->scop
->pet
->independences
[i
];
252 if (isl_union_set_contains(pi
->local
, array
->space
))
255 order
= isl_union_map_subtract(order
,
256 isl_union_map_copy(pi
->filter
));
262 /* For each array in "prog", store the (untagged) order dependences
263 * derived from the array in array->dep_order.
264 * In particular, consider all references that access the given array
265 * and take the order dependences that have one of these references
266 * as source. (Since an order dependence relates two references to
267 * the same array, the target of these order dependences will also
268 * be one of these references.)
269 * Additionally, store the union of these array->dep_order relations
270 * for all non-scalar arrays in prog->array_order.
272 void collect_order_dependences(struct gpu_prog
*prog
)
276 isl_union_map
*accesses
;
278 space
= isl_union_map_get_space(prog
->read
);
279 prog
->array_order
= isl_union_map_empty(space
);
281 accesses
= isl_union_map_copy(prog
->scop
->tagged_reads
);
282 accesses
= isl_union_map_union(accesses
,
283 isl_union_map_copy(prog
->scop
->tagged_may_writes
));
284 accesses
= isl_union_map_universe(accesses
);
285 accesses
= isl_union_map_apply_range(accesses
,
286 isl_union_map_copy(prog
->to_outer
));
288 for (i
= 0; i
< prog
->n_array
; ++i
) {
289 struct gpu_array_info
*array
= &prog
->array
[i
];
292 isl_union_map
*order
;
294 set
= isl_set_universe(isl_space_copy(array
->space
));
295 uset
= isl_union_set_from_set(set
);
296 uset
= isl_union_map_domain(
297 isl_union_map_intersect_range(isl_union_map_copy(accesses
),
299 order
= isl_union_map_copy(prog
->scop
->tagged_dep_order
);
300 order
= isl_union_map_intersect_domain(order
, uset
);
301 order
= isl_union_map_zip(order
);
302 order
= isl_union_set_unwrap(isl_union_map_domain(order
));
303 order
= remove_independences(prog
, array
, order
);
304 array
->dep_order
= order
;
306 if (gpu_array_is_scalar(array
) && !array
->has_compound_element
)
309 prog
->array_order
= isl_union_map_union(prog
->array_order
,
310 isl_union_map_copy(array
->dep_order
));
313 isl_union_map_free(accesses
);
316 /* Construct a gpu_array_info for each array referenced by prog->scop and
317 * collect them in prog->array.
319 * The sizes are based on the extents and the set of possibly accessed
320 * elements by "prog".
321 * If there are any member accesses involved, then they are first mapped
322 * to the outer arrays of structs.
324 * If we are allowing live range reordering, then also set
325 * the dep_order field. Otherwise leave it NULL.
327 static int collect_array_info(struct gpu_prog
*prog
)
331 isl_union_set
*arrays
;
333 arrays
= isl_union_map_range(isl_union_map_copy(prog
->read
));
334 arrays
= isl_union_set_union(arrays
,
335 isl_union_map_range(isl_union_map_copy(prog
->may_write
)));
337 arrays
= isl_union_set_apply(arrays
,
338 isl_union_map_copy(prog
->to_outer
));
340 arrays
= isl_union_set_coalesce(arrays
);
342 prog
->n_array
= prog
->scop
->pet
->n_array
;
343 prog
->array
= isl_calloc_array(prog
->ctx
,
344 struct gpu_array_info
, prog
->n_array
);
346 for (i
= 0; i
< prog
->scop
->pet
->n_array
; ++i
)
347 if (extract_array_info(prog
, &prog
->array
[i
],
348 prog
->scop
->pet
->arrays
[i
], arrays
) < 0)
351 isl_union_set_free(arrays
);
353 if (prog
->scop
->options
->live_range_reordering
)
354 collect_order_dependences(prog
);
359 static void free_array_info(struct gpu_prog
*prog
)
363 for (i
= 0; i
< prog
->n_array
; ++i
) {
364 int n_index
= prog
->array
[i
].n_index
;
365 free(prog
->array
[i
].type
);
366 free(prog
->array
[i
].name
);
367 for (j
= 0; j
< n_index
; ++j
)
368 isl_pw_aff_free(prog
->array
[i
].bound
[j
]);
369 isl_space_free(prog
->array
[i
].space
);
370 isl_set_free(prog
->array
[i
].extent
);
371 free(prog
->array
[i
].bound
);
372 free(prog
->array
[i
].refs
);
373 isl_union_map_free(prog
->array
[i
].dep_order
);
378 /* Check if a gpu array is a scalar. A scalar is a value that is not stored
379 * as an array or through a pointer reference, but as a single data element.
380 * At the moment, scalars are represented as zero-dimensional arrays.
381 * Note that the single data element may be an entire structure.
383 int gpu_array_is_scalar(struct gpu_array_info
*array
)
385 return array
->n_index
== 0;
388 /* Is "array" a read-only scalar?
390 int gpu_array_is_read_only_scalar(struct gpu_array_info
*array
)
392 return array
->read_only_scalar
;
395 /* Return the set of parameter values for which the array has a positive
396 * size in all dimensions.
397 * If the sizes are only valid for some parameter values, then those
398 * constraints are also taken into account.
400 __isl_give isl_set
*gpu_array_positive_size_guard(struct gpu_array_info
*array
)
406 space
= isl_space_params(isl_space_copy(array
->space
));
407 guard
= isl_set_universe(space
);
409 for (i
= 0; i
< array
->n_index
; ++i
) {
411 isl_set
*guard_i
, *zero
;
413 bound
= isl_pw_aff_copy(array
->bound
[i
]);
414 guard_i
= isl_pw_aff_nonneg_set(isl_pw_aff_copy(bound
));
415 zero
= isl_pw_aff_zero_set(bound
);
416 guard_i
= isl_set_subtract(guard_i
, zero
);
417 guard
= isl_set_intersect(guard
, guard_i
);
423 /* Internal data structure for extract_size_of_type.
424 * "type" specifies the name of the space that we want to extract.
425 * "res" is used to store the subset of that space.
427 struct ppcg_extract_size_data
{
432 /* This function is called for each set in a union_set.
433 * If the name of the set matches data->type, we store the
436 static int extract_size_of_type(__isl_take isl_set
*size
, void *user
)
438 struct ppcg_extract_size_data
*data
= user
;
441 name
= isl_set_get_tuple_name(size
);
442 if (name
&& !strcmp(name
, data
->type
)) {
451 /* Given a union map { kernel[i] -> *[...] },
452 * return the range in the space called "type" for the kernel with
453 * sequence number "id".
455 static __isl_give isl_set
*extract_sizes(__isl_keep isl_union_map
*sizes
,
456 const char *type
, int id
)
460 isl_union_set
*local_sizes
;
461 struct ppcg_extract_size_data data
= { type
, NULL
};
466 space
= isl_union_map_get_space(sizes
);
467 space
= isl_space_set_from_params(space
);
468 space
= isl_space_add_dims(space
, isl_dim_set
, 1);
469 space
= isl_space_set_tuple_name(space
, isl_dim_set
, "kernel");
470 dom
= isl_set_universe(space
);
471 dom
= isl_set_fix_si(dom
, isl_dim_set
, 0, id
);
473 local_sizes
= isl_union_set_apply(isl_union_set_from_set(dom
),
474 isl_union_map_copy(sizes
));
475 isl_union_set_foreach_set(local_sizes
, &extract_size_of_type
, &data
);
476 isl_union_set_free(local_sizes
);
480 /* Given a singleton set, extract the first (at most *len) elements
481 * of the single integer tuple into *sizes and update *len if needed.
483 static void read_sizes_from_set(__isl_take isl_set
*set
, int *sizes
, int *len
)
491 dim
= isl_set_dim(set
, isl_dim_set
);
495 for (i
= 0; i
< *len
; ++i
) {
498 v
= isl_set_plain_get_val_if_fixed(set
, isl_dim_set
, i
);
501 sizes
[i
] = isl_val_get_num_si(v
);
508 /* Add the map { kernel[id] -> type[sizes] } to gen->used_sizes,
509 * if the option debug->dump_sizes is set.
511 static void set_used_sizes(struct gpu_gen
*gen
, const char *type
, int id
,
518 if (!gen
->options
->debug
->dump_sizes
)
521 space
= isl_union_map_get_space(gen
->used_sizes
);
522 space
= isl_space_set_from_params(space
);
523 space
= isl_space_add_dims(space
, isl_dim_set
, 1);
524 space
= isl_space_set_tuple_name(space
, isl_dim_set
, "kernel");
525 space
= isl_space_from_domain(space
);
526 space
= isl_space_add_dims(space
, isl_dim_out
, len
);
527 space
= isl_space_set_tuple_name(space
, isl_dim_out
, type
);
529 map
= isl_map_universe(space
);
530 map
= isl_map_fix_si(map
, isl_dim_in
, 0, id
);
531 for (i
= 0; i
< len
; ++i
)
532 map
= isl_map_fix_si(map
, isl_dim_out
, i
, sizes
[i
]);
534 gen
->used_sizes
= isl_union_map_add_map(gen
->used_sizes
, map
);
537 /* Extract user specified "tile" sizes from the "sizes" command line option,
538 * defaulting to option->tile_size in each dimension.
539 * Add the effectively used sizes to gen->used_sizes.
541 static void read_tile_sizes(struct gpu_gen
*gen
)
546 gen
->tile_size
= isl_alloc_array(gen
->ctx
, int, gen
->tile_len
);
547 assert(gen
->tile_size
);
548 for (n
= 0; n
< gen
->tile_len
; ++n
)
549 gen
->tile_size
[n
] = gen
->options
->tile_size
;
551 size
= extract_sizes(gen
->sizes
, "tile", gen
->kernel_id
);
552 read_sizes_from_set(size
, gen
->tile_size
, &gen
->tile_len
);
553 set_used_sizes(gen
, "tile", gen
->kernel_id
,
554 gen
->tile_size
, gen
->tile_len
);
556 if (gen
->n_parallel
> gen
->tile_len
)
557 gen
->n_parallel
= gen
->tile_len
;
560 /* Extract user specified "block" sizes from the "sizes" command line option,
561 * after filling in some potentially useful defaults.
562 * Add the effectively used sizes to gen->used_sizes.
564 static void read_block_sizes(struct gpu_gen
*gen
)
570 gen
->n_block
= (n
<= 3) ? n
: 3;
571 switch (gen
->n_block
) {
573 gen
->block_dim
[0] = 512;
576 gen
->block_dim
[0] = 32;
577 gen
->block_dim
[1] = 16;
580 gen
->block_dim
[0] = 32;
581 gen
->block_dim
[1] = 4;
582 gen
->block_dim
[2] = 4;
586 size
= extract_sizes(gen
->sizes
, "block", gen
->kernel_id
);
587 read_sizes_from_set(size
, gen
->block_dim
, &gen
->n_block
);
588 set_used_sizes(gen
, "block", gen
->kernel_id
,
589 gen
->block_dim
, gen
->n_block
);
592 /* Extract user specified "grid" sizes from the "sizes" command line option,
593 * after filling in some potentially useful defaults.
594 * Add the effectively used sizes to gen->used_sizes.
596 static void read_grid_sizes(struct gpu_gen
*gen
)
598 int n
= gen
->n_parallel
;
601 gen
->n_grid
= (n
<= 2) ? n
: 2;
602 switch (gen
->n_grid
) {
604 gen
->grid_dim
[0] = 32768;
607 gen
->grid_dim
[0] = 256;
608 gen
->grid_dim
[1] = 256;
612 size
= extract_sizes(gen
->sizes
, "grid", gen
->kernel_id
);
613 read_sizes_from_set(size
, gen
->grid_dim
, &gen
->n_grid
);
614 set_used_sizes(gen
, "grid", gen
->kernel_id
, gen
->grid_dim
, gen
->n_grid
);
617 /* Extract user specified sizes from the "sizes" command line option
618 * after filling in some potentially useful defaults.
620 static void read_sizes(struct gpu_gen
*gen
)
622 read_tile_sizes(gen
);
623 read_block_sizes(gen
);
624 read_grid_sizes(gen
);
627 static void *free_stmts(struct gpu_stmt
*stmts
, int n
)
634 for (i
= 0; i
< n
; ++i
) {
635 struct gpu_stmt_access
*access
, *next
;
637 for (access
= stmts
[i
].accesses
; access
; access
= next
) {
639 isl_id_free(access
->ref_id
);
640 isl_map_free(access
->access
);
641 isl_map_free(access
->tagged_access
);
645 isl_id_free(stmts
[i
].id
);
652 /* Construct a map from a domain of dimensionality "len"
653 * to a domain of dimensionality "len" + "tile_len" that tiles
654 * the "tile_len" coordinates starting at "first".
655 * In particular, [s_i] -> [s_i / tile_size[i], s_i % tile_size[i]].
656 * "dim" prescribes the parameters.
658 static __isl_give isl_map
*tile(__isl_take isl_space
*dim
, int len
,
659 int first
, int tile_len
, int *tile_size
)
666 dim
= isl_space_add_dims(dim
, isl_dim_in
, len
);
667 dim
= isl_space_add_dims(dim
, isl_dim_out
, len
+ tile_len
);
668 bmap
= isl_basic_map_universe(isl_space_copy(dim
));
669 ls
= isl_local_space_from_space(dim
);
671 for (i
= 0; i
< len
- tile_len
; ++i
) {
672 int j
= i
< first
? i
: i
+ tile_len
;
673 int k
= i
< first
? i
: i
+ 2 * tile_len
;
675 c
= isl_equality_alloc(isl_local_space_copy(ls
));
676 c
= isl_constraint_set_coefficient_si(c
, isl_dim_in
, j
, -1);
677 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, k
, 1);
678 bmap
= isl_basic_map_add_constraint(bmap
, c
);
681 for (i
= 0; i
< tile_len
; ++i
) {
682 c
= isl_equality_alloc(isl_local_space_copy(ls
));
683 c
= isl_constraint_set_coefficient_si(c
, isl_dim_in
,
685 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
686 first
+ i
, tile_size
[i
]);
687 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
688 first
+ i
+ tile_len
, 1);
689 bmap
= isl_basic_map_add_constraint(bmap
, c
);
691 c
= isl_inequality_alloc(isl_local_space_copy(ls
));
692 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
693 first
+ i
+ tile_len
, 1);
694 bmap
= isl_basic_map_add_constraint(bmap
, c
);
696 c
= isl_inequality_alloc(isl_local_space_copy(ls
));
697 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
698 first
+ i
+ tile_len
, -1);
699 c
= isl_constraint_set_constant_si(c
, tile_size
[i
] - 1);
700 bmap
= isl_basic_map_add_constraint(bmap
, c
);
703 isl_local_space_free(ls
);
705 return isl_map_from_basic_map(bmap
);
708 /* Construct a map from a domain of dimensionality "len"
709 * to a domain of dimensionality "len" + "wrap_len" that "wraps"
710 * the "wrap_len" coordinates starting at "first" according to "wrap_size".
711 * In particular, [s_i] -> [s_i, s_i % wrap_size[i]].
712 * To do so, we need extra variables corresponding to [s_i / wrap_size[i]],
713 * that are projected out at the end.
714 * "dim" prescribes the parameters.
716 static __isl_give isl_map
*wrap(__isl_take isl_space
*dim
, int len
,
717 int first
, int wrap_len
, int *wrap_size
)
724 dim
= isl_space_add_dims(dim
, isl_dim_in
, len
);
725 dim
= isl_space_add_dims(dim
, isl_dim_out
, len
+ 2 * wrap_len
);
726 bmap
= isl_basic_map_universe(isl_space_copy(dim
));
727 ls
= isl_local_space_from_space(dim
);
729 for (i
= 0; i
< len
; ++i
) {
730 int k
= i
< first
+ wrap_len
? i
: i
+ 2 * wrap_len
;
732 c
= isl_equality_alloc(isl_local_space_copy(ls
));
733 c
= isl_constraint_set_coefficient_si(c
, isl_dim_in
, i
, -1);
734 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, k
, 1);
735 bmap
= isl_basic_map_add_constraint(bmap
, c
);
738 for (i
= 0; i
< wrap_len
; ++i
) {
739 c
= isl_equality_alloc(isl_local_space_copy(ls
));
740 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
742 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
743 first
+ wrap_len
+ i
, 1);
744 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
745 first
+ 2 * wrap_len
+ i
, wrap_size
[i
]);
746 bmap
= isl_basic_map_add_constraint(bmap
, c
);
748 c
= isl_inequality_alloc(isl_local_space_copy(ls
));
749 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
750 first
+ wrap_len
+ i
, 1);
751 bmap
= isl_basic_map_add_constraint(bmap
, c
);
753 c
= isl_inequality_alloc(isl_local_space_copy(ls
));
754 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
755 first
+ wrap_len
+ i
, -1);
756 c
= isl_constraint_set_constant_si(c
, wrap_size
[i
] - 1);
757 bmap
= isl_basic_map_add_constraint(bmap
, c
);
760 isl_local_space_free(ls
);
762 bmap
= isl_basic_map_project_out(bmap
, isl_dim_out
,
763 first
+ 2 * wrap_len
, wrap_len
);
765 return isl_map_from_basic_map(bmap
);
768 /* Tile the B loops over the tile sizes and then tile/wrap
769 * the T1 loops over the blocks.
771 static __isl_give isl_union_map
*tile_schedule(struct gpu_gen
*gen
,
772 __isl_take isl_union_map
*sched
)
775 isl_map
*tiling
, *block_tiling
;
777 dim
= isl_union_map_get_space(sched
);
778 tiling
= tile(isl_space_copy(dim
), gen
->untiled_len
,
779 gen
->tile_first
, gen
->tile_len
, gen
->tile_size
);
781 if (gen
->options
->wrap
)
782 block_tiling
= wrap(dim
, gen
->untiled_len
+ gen
->tile_len
,
783 gen
->tile_first
, gen
->n_grid
, gen
->grid_dim
);
785 block_tiling
= tile(dim
, gen
->untiled_len
+ gen
->tile_len
,
786 gen
->tile_first
, gen
->n_grid
, gen
->grid_dim
);
788 gen
->tiled_len
= gen
->untiled_len
+ gen
->tile_len
+ gen
->n_grid
;
790 tiling
= isl_map_apply_range(tiling
, block_tiling
);
792 sched
= isl_union_map_apply_range(sched
,
793 isl_union_map_from_map(tiling
));
795 gen
->shared_len
= gen
->tile_first
+ gen
->tile_len
+ gen
->n_grid
;
800 /* Equate the "T1P" iterators in the tiled schedule "sched"
801 * to the block dimensions.
803 static __isl_give isl_union_map
*parametrize_tiled_schedule(
804 struct gpu_gen
*gen
, __isl_take isl_union_map
*sched
)
809 dim
= isl_union_map_get_space(sched
);
810 par
= parametrization(dim
, gen
->tiled_len
,
811 gen
->tile_first
+ gen
->n_grid
, gen
->kernel
->block_ids
);
812 sched
= isl_union_map_intersect_range(sched
,
813 isl_union_set_from_set(par
));
818 /* Tile/wrap the P1 loops over the threads.
820 static __isl_give isl_union_map
*thread_tile_schedule(struct gpu_gen
*gen
,
821 __isl_take isl_union_map
*sched
)
827 dim
= isl_union_map_get_space(sched
);
829 if (gen
->options
->wrap
)
830 tiling
= wrap(isl_space_copy(dim
), gen
->tiled_len
,
831 gen
->shared_len
, gen
->n_block
, gen
->block_dim
);
833 tiling
= tile(isl_space_copy(dim
), gen
->tiled_len
,
834 gen
->shared_len
, gen
->n_block
, gen
->block_dim
);
835 gen
->thread_tiled_len
= gen
->tiled_len
+ gen
->n_block
;
837 sched
= isl_union_map_apply_range(sched
,
838 isl_union_map_from_map(tiling
));
840 par
= parametrization(dim
, gen
->thread_tiled_len
,
841 gen
->tile_first
+ gen
->tile_len
+ gen
->n_grid
+ gen
->n_block
,
842 gen
->kernel
->thread_ids
);
843 sched
= isl_union_map_intersect_range(sched
,
844 isl_union_set_from_set(par
));
846 gen
->shared_len
= gen
->tile_first
+ gen
->tile_len
+ gen
->n_grid
;
851 /* If the user asked for it, scale the shared memory tile loops
852 * (T1T and T2) of "sched" by gen->tile_size[i].
853 * If we are not performing "wrapping", then additionally scale the T1P
854 * loops by gen->grid_dim[i].
856 static __isl_give isl_union_map
*scale_tile_loops(struct gpu_gen
*gen
,
857 __isl_take isl_union_map
*sched
)
861 isl_basic_map
*scale
;
865 if (!gen
->options
->scale_tile_loops
)
868 dim
= isl_union_map_get_space(sched
);
869 dim
= isl_space_add_dims(dim
, isl_dim_in
, gen
->tiled_len
);
870 dim
= isl_space_add_dims(dim
, isl_dim_out
, gen
->tiled_len
);
871 scale
= isl_basic_map_universe(isl_space_copy(dim
));
872 ls
= isl_local_space_from_space(dim
);
874 for (i
= 0; i
< gen
->tiled_len
; ++i
) {
877 if (i
>= gen
->tile_first
&& i
< gen
->tile_first
+ gen
->n_grid
) {
878 f
= gen
->tile_size
[i
- gen
->tile_first
];
879 if (!gen
->options
->wrap
)
880 f
*= gen
->grid_dim
[i
- gen
->tile_first
];
881 } else if (i
>= gen
->tile_first
+ gen
->n_grid
&&
882 i
< gen
->tile_first
+ gen
->n_grid
+ gen
->tile_len
) {
883 f
= gen
->tile_size
[i
- (gen
->tile_first
+ gen
->n_grid
)];
886 c
= isl_equality_alloc(isl_local_space_copy(ls
));
887 c
= isl_constraint_set_coefficient_si(c
, isl_dim_in
, i
, f
);
888 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, i
, -1);
889 scale
= isl_basic_map_add_constraint(scale
, c
);
892 isl_local_space_free(ls
);
894 sched
= isl_union_map_apply_range(sched
,
895 isl_union_map_from_map(isl_map_from_basic_map(scale
)));
900 /* If we are not performing "wrapping" and if the user asked for it,
901 * scale the thread tile loops (P1T) of "sched" by gen->block_dim[i].
903 static __isl_give isl_union_map
*scale_thread_tile_loops(struct gpu_gen
*gen
,
904 __isl_take isl_union_map
*sched
)
908 isl_basic_map
*scale
;
912 if (gen
->options
->wrap
)
914 if (!gen
->options
->scale_tile_loops
)
917 dim
= isl_union_map_get_space(sched
);
918 dim
= isl_space_add_dims(dim
, isl_dim_in
, gen
->thread_tiled_len
);
919 dim
= isl_space_add_dims(dim
, isl_dim_out
, gen
->thread_tiled_len
);
920 scale
= isl_basic_map_universe(isl_space_copy(dim
));
921 ls
= isl_local_space_from_space(dim
);
923 for (i
= 0; i
< gen
->thread_tiled_len
; ++i
) {
926 if (i
>= gen
->shared_len
&&
927 i
< gen
->shared_len
+ gen
->n_block
)
928 f
= gen
->block_dim
[i
- gen
->shared_len
];
930 c
= isl_equality_alloc(isl_local_space_copy(ls
));
931 c
= isl_constraint_set_coefficient_si(c
, isl_dim_in
, i
, f
);
932 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, i
, -1);
933 scale
= isl_basic_map_add_constraint(scale
, c
);
936 isl_local_space_free(ls
);
938 sched
= isl_union_map_apply_range(sched
,
939 isl_union_map_from_map(isl_map_from_basic_map(scale
)));
944 /* If we are not performing "wrapping" and if the user asked for it,
945 * scale the "n_tile" loops starting at "first" of "sched" by gen->block_dim[i].
947 static __isl_give isl_union_map
*scale_access_tile_loops(struct gpu_gen
*gen
,
948 __isl_take isl_union_map
*sched
, int len
, int first
, int n_tile
)
952 isl_basic_map
*scale
;
956 if (gen
->options
->wrap
)
958 if (!gen
->options
->scale_tile_loops
)
961 dim
= isl_union_map_get_space(sched
);
962 dim
= isl_space_add_dims(dim
, isl_dim_in
, len
);
963 dim
= isl_space_add_dims(dim
, isl_dim_out
, len
);
964 scale
= isl_basic_map_universe(isl_space_copy(dim
));
965 ls
= isl_local_space_from_space(dim
);
967 for (i
= 0; i
< len
; ++i
) {
970 if (i
>= first
&& i
< first
+ n_tile
)
971 f
= gen
->kernel
->block_dim
[i
- first
];
973 c
= isl_equality_alloc(isl_local_space_copy(ls
));
974 c
= isl_constraint_set_coefficient_si(c
, isl_dim_in
, i
, f
);
975 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, i
, -1);
976 scale
= isl_basic_map_add_constraint(scale
, c
);
979 isl_local_space_free(ls
);
981 sched
= isl_union_map_apply_range(sched
,
982 isl_union_map_from_map(isl_map_from_basic_map(scale
)));
987 /* Add parameters p[i] with identifiers "ids" to "set",
988 * with bounds to 0 <= p[i] < size[i].
990 __isl_give isl_set
*add_bounded_parameters(__isl_take isl_set
*set
,
991 int *size
, __isl_keep isl_id_list
*ids
)
996 len
= isl_id_list_n_id(ids
);
997 nparam
= isl_set_dim(set
, isl_dim_param
);
998 set
= isl_set_add_dims(set
, isl_dim_param
, len
);
1000 for (i
= 0; i
< len
; ++i
) {
1003 id
= isl_id_list_get_id(ids
, i
);
1004 set
= isl_set_set_dim_id(set
, isl_dim_param
, nparam
+ i
, id
);
1005 set
= isl_set_lower_bound_si(set
, isl_dim_param
, nparam
+ i
, 0);
1006 set
= isl_set_upper_bound_si(set
, isl_dim_param
,
1007 nparam
+ i
, size
[i
] - 1);
1013 /* Add "len" parameters p[i] with identifiers "ids" and intersect "set"
1016 * { : 0 <= p[i] < size[i] }
1018 * or an overapproximation.
1020 static __isl_give isl_set
*add_bounded_parameters_dynamic(
1021 __isl_take isl_set
*set
, __isl_keep isl_multi_pw_aff
*size
,
1022 __isl_keep isl_id_list
*ids
)
1027 isl_local_space
*ls
;
1029 len
= isl_multi_pw_aff_dim(size
, isl_dim_out
);
1030 nparam
= isl_set_dim(set
, isl_dim_param
);
1031 set
= isl_set_add_dims(set
, isl_dim_param
, len
);
1033 for (i
= 0; i
< len
; ++i
) {
1036 id
= isl_id_list_get_id(ids
, i
);
1037 set
= isl_set_set_dim_id(set
, isl_dim_param
, nparam
+ i
, id
);
1040 space
= isl_space_params(isl_set_get_space(set
));
1041 ls
= isl_local_space_from_space(space
);
1042 for (i
= 0; i
< len
; ++i
) {
1043 isl_pw_aff
*param
, *size_i
, *zero
;
1046 param
= isl_pw_aff_var_on_domain(isl_local_space_copy(ls
),
1047 isl_dim_param
, nparam
+ i
);
1049 size_i
= isl_multi_pw_aff_get_pw_aff(size
, i
);
1050 bound
= isl_pw_aff_lt_set(isl_pw_aff_copy(param
), size_i
);
1051 bound
= isl_set_from_basic_set(isl_set_simple_hull(bound
));
1052 set
= isl_set_intersect_params(set
, bound
);
1054 zero
= isl_pw_aff_zero_on_domain(isl_local_space_copy(ls
));
1055 bound
= isl_pw_aff_ge_set(param
, zero
);
1056 set
= isl_set_intersect_params(set
, bound
);
1058 isl_local_space_free(ls
);
1063 /* Construct a map from an access to group->array to the corresponding
1064 * shared/private memory tile.
1065 * The map is of the form
1067 * { [D[i] -> A[a]] -> T[t] }
1069 * where D represents the initial shared_len dimensions
1070 * of the computed schedule.
1072 static __isl_give isl_map
*shift_access(struct gpu_array_ref_group
*group
)
1074 struct gpu_array_tile
*tile
;
1075 isl_multi_aff
*tiling
;
1077 tile
= group
->private_tile
;
1079 tile
= group
->shared_tile
;
1081 tiling
= isl_multi_aff_copy(tile
->tiling
);
1083 return isl_map_from_multi_aff(tiling
);
1086 /* Given a schedule that iterates over all elements in a piece of an array,
1087 * perform tiling/wrapping over the threads.
1089 * In particular, we tile the final iterators so that the final thread
1090 * dimension runs over the final array dimension.
1091 * However, if those final iterators have only a single iteration,
1092 * we try to tile earlier iterators instead.
1094 static __isl_give isl_map
*tile_access_schedule(struct gpu_gen
*gen
,
1095 __isl_take isl_map
*sched
)
1098 isl_union_map
*usched
;
1101 unsigned nvar
= isl_map_dim(sched
, isl_dim_out
);
1105 n_tile
= gen
->kernel
->n_block
;
1106 if (n_tile
> nvar
) {
1108 sched
= isl_map_insert_dims(sched
,
1109 isl_dim_out
, 0, n_tile
- nvar
);
1110 for (i
= 0; i
< n_tile
- nvar
; ++i
)
1111 sched
= isl_map_fix_si(sched
, isl_dim_out
, i
, 0);
1115 first
= nvar
- n_tile
;
1117 for (; first
> 0; first
--)
1118 if (!map_plain_is_fixed(sched
, isl_dim_out
, first
+ n_tile
- 1))
1121 dim
= isl_map_get_space(sched
);
1122 dim
= isl_space_params(dim
);
1123 if (gen
->options
->wrap
)
1124 tiling
= wrap(isl_space_copy(dim
), nvar
, first
,
1125 n_tile
, gen
->kernel
->block_dim
);
1127 tiling
= tile(isl_space_copy(dim
), nvar
, first
,
1128 n_tile
, gen
->kernel
->block_dim
);
1129 sched
= isl_map_apply_range(sched
, tiling
);
1131 par
= parametrization(dim
, nvar
+ n_tile
, first
+ n_tile
,
1132 gen
->kernel
->thread_ids
);
1133 sched
= isl_map_intersect_range(sched
, par
);
1135 usched
= isl_union_map_from_map(sched
);
1136 usched
= scale_access_tile_loops(gen
, usched
, nvar
+ n_tile
,
1138 sched
= isl_map_from_union_map(usched
);
1143 /* Return the union of all tagged access relations in the group.
1145 static __isl_give isl_union_map
*group_tagged_access_relation(
1146 struct gpu_array_ref_group
*group
)
1149 isl_union_map
*access
;
1151 access
= isl_union_map_empty(isl_map_get_space(group
->access
));
1152 for (i
= 0; i
< group
->n_ref
; ++i
) {
1155 map_i
= isl_map_copy(group
->refs
[i
]->tagged_access
);
1156 access
= isl_union_map_union(access
,
1157 isl_union_map_from_map(map_i
));
1163 /* Return the extent of "array", recomputed from the bounds.
1164 * The recomputed extent may be simpler than the original extent.
1166 static __isl_give isl_set
*array_extent(struct gpu_array_info
*array
)
1171 isl_local_space
*ls
;
1174 id
= isl_set_get_tuple_id(array
->extent
);
1175 space
= isl_set_get_space(array
->extent
);
1176 extent
= isl_set_universe(isl_space_copy(space
));
1177 ls
= isl_local_space_from_space(space
);
1178 for (i
= 0; i
< array
->n_index
; ++i
) {
1184 extent
= isl_set_lower_bound_si(extent
, isl_dim_set
, i
, 0);
1186 aff
= isl_aff_var_on_domain(isl_local_space_copy(ls
),
1188 index
= isl_pw_aff_from_aff(aff
);
1189 bound
= isl_pw_aff_copy(array
->bound
[i
]);
1190 bound
= isl_pw_aff_from_range(bound
);
1191 bound
= isl_pw_aff_add_dims(bound
, isl_dim_in
, array
->n_index
);
1192 bound
= isl_pw_aff_set_tuple_id(bound
, isl_dim_in
,
1194 lt
= isl_pw_aff_lt_set(index
, bound
);
1195 extent
= isl_set_intersect(extent
, lt
);
1197 isl_local_space_free(ls
);
1203 /* Return a map from the first shared_len dimensions of the computed
1204 * schedule to the array tile in
1205 * global memory that corresponds to the shared memory copy.
1207 * In particular, return a map
1213 * tile_offset(i) <= a <= tile_offset(i) + tile_size - 1 (1)
1217 * 0 <= a <= array_size - 1 (2)
1219 * Note that if some stride has been detected (i.e., when
1220 * group->shared_tile->bound[i].shift is set), then a in (1) refers
1221 * to the shifted and scaled down version.
1223 * Constraints (1) are obtained by mapping the size constraints on the
1224 * shared/private memory tile back to the access relation.
1225 * Constraints (2) are obtained from the (recomputed) extent.
1227 static __isl_give isl_map
*group_tile(struct gpu_array_ref_group
*group
)
1230 int n_index
= group
->array
->n_index
;
1236 space
= isl_multi_aff_get_space(group
->shared_tile
->tiling
);
1237 space
= isl_space_range(space
);
1238 local
= isl_set_universe(space
);
1239 for (i
= 0; i
< n_index
; ++i
) {
1242 local
= isl_set_lower_bound_si(local
, isl_dim_set
, i
, 0);
1243 bound
= isl_val_copy(group
->shared_tile
->bound
[i
].size
);
1244 bound
= isl_val_sub_ui(bound
, 1);
1245 local
= isl_set_upper_bound_val(local
, isl_dim_set
, i
, bound
);
1247 local
= isl_set_preimage_multi_aff(local
,
1248 isl_multi_aff_copy(group
->shared_tile
->tiling
));
1249 tile
= isl_set_unwrap(local
);
1250 extent
= array_extent(group
->array
);
1251 tile
= isl_map_intersect_range(tile
, extent
);
1256 /* Given a mapping "iterator_map" from the AST schedule to a domain,
1257 * return the corresponding mapping from the AST schedule to
1258 * to the first shared_len dimensions of the schedule computed by PPCG.
1260 static __isl_give isl_pw_multi_aff
*compute_sched_to_shared(struct gpu_gen
*gen
,
1261 __isl_take isl_pw_multi_aff
*iterator_map
)
1263 isl_union_map
*umap
;
1265 isl_map
*map
, *sched
;;
1267 space
= isl_space_range(isl_pw_multi_aff_get_space(iterator_map
));
1268 space
= isl_space_from_domain(space
);
1269 space
= isl_space_add_dims(space
, isl_dim_out
, gen
->shared_len
);
1271 umap
= isl_union_map_copy(gen
->shared_sched
);
1272 umap
= isl_union_map_apply_range(umap
,
1273 isl_union_map_copy(gen
->shared_proj
));
1274 map
= isl_union_map_extract_map(umap
, space
);
1275 isl_union_map_free(umap
);
1277 sched
= isl_map_preimage_domain_pw_multi_aff(map
, iterator_map
);
1278 sched
= isl_map_detect_equalities(sched
);
1280 return isl_pw_multi_aff_from_map(sched
);
1283 /* Set unroll[j] if the input dimension j is involved in
1284 * the index expression represented by ma.
1286 static int check_unroll(__isl_take isl_set
*set
, __isl_take isl_multi_aff
*ma
,
1290 int n_in
= isl_multi_aff_dim(ma
, isl_dim_in
);
1291 int n_out
= isl_multi_aff_dim(ma
, isl_dim_out
);
1294 for (i
= 0; i
< n_out
; ++i
) {
1297 aff
= isl_multi_aff_get_aff(ma
, i
);
1298 for (j
= 0; j
< n_in
; ++j
)
1299 if (isl_aff_involves_dims(aff
, isl_dim_in
, j
, 1))
1305 isl_multi_aff_free(ma
);
1309 /* Given an array pos mapping input dimensions to the corresponding
1310 * output dimension, construct the corresponding map.
1312 static __isl_give isl_map
*permutation(__isl_take isl_space
*dim
,
1317 isl_basic_map
*bmap
;
1318 isl_local_space
*ls
;
1320 dim
= isl_space_add_dims(dim
, isl_dim_in
, len
);
1321 dim
= isl_space_add_dims(dim
, isl_dim_out
, len
);
1322 bmap
= isl_basic_map_universe(isl_space_copy(dim
));
1323 ls
= isl_local_space_from_space(dim
);
1325 for (i
= 0; i
< len
; ++i
) {
1326 c
= isl_equality_alloc(isl_local_space_copy(ls
));
1327 c
= isl_constraint_set_coefficient_si(c
, isl_dim_in
, i
,
1329 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, pos
[i
],
1331 bmap
= isl_basic_map_add_constraint(bmap
, c
);
1333 isl_local_space_free(ls
);
1335 return isl_map_from_basic_map(bmap
);
1338 /* Remove the private tiles from all array reference groups,
1339 * except for the groups of arrays that are marked force_private.
1341 static void remove_private_tiles(struct gpu_gen
*gen
)
1345 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
1346 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
1348 if (array
->force_private
)
1351 for (j
= 0; j
< array
->n_group
; ++j
) {
1352 struct gpu_array_ref_group
*group
= array
->groups
[j
];
1354 group
->private_tile
=
1355 gpu_array_tile_free(group
->private_tile
);
1360 /* Find all loops involved in any of the index expressions for any of
1361 * the private accesses, move them innermost and then mark them as
1362 * requiring unrolling by setting gen->first_unroll.
1363 * The loops involved should all be parallel because of the checks
1364 * we performed in check_private_group_access. Moving them innermost
1365 * is therefore a valid transformation.
1367 * If any of the arrays are marked force_private, however, then
1368 * those loops may not be parallel with respect to the marked arrays.
1369 * If any of the loops would have to be moved innermost for the
1370 * (non forced) private accesses and if there are any force_private
1371 * arrays, then we revert the decision to map the selected arrays
1372 * to private memory. An alternative solution would be to expand
1373 * the force_private arrays.
1375 * Loops up to gen->shared_len are generated before the mapping to
1376 * threads is applied. They should therefore be ignored.
1378 * We compute the hidden equalities of the schedule first
1379 * since we will need them in our calls to isl_pw_multi_aff_from_map
1380 * and because we want to make sure that the same equalities
1381 * are also available to the code generator.
1383 static __isl_give isl_union_map
*interchange_for_unroll(struct gpu_gen
*gen
,
1384 __isl_take isl_union_map
*sched
)
1387 int unroll
[gen
->thread_tiled_len
];
1388 int perm
[gen
->thread_tiled_len
];
1391 int len
= gen
->shared_len
+ gen
->n_parallel
+ gen
->n_block
;
1393 gen
->first_unroll
= -1;
1395 sched
= isl_union_map_detect_equalities(sched
);
1396 for (i
= 0; i
< gen
->thread_tiled_len
; ++i
)
1398 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
1399 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
1401 for (j
= 0; j
< array
->n_group
; ++j
) {
1402 isl_union_map
*access
;
1404 isl_pw_multi_aff
*pma
;
1406 if (!array
->groups
[j
]->private_tile
)
1409 access
= gpu_array_ref_group_access_relation(
1410 array
->groups
[j
], 1, 1);
1411 access
= isl_union_map_apply_domain(access
,
1412 isl_union_map_copy(sched
));
1414 acc
= isl_map_from_union_map(access
);
1415 pma
= isl_pw_multi_aff_from_map(acc
);
1416 isl_pw_multi_aff_foreach_piece(pma
,
1417 &check_unroll
, unroll
);
1419 isl_pw_multi_aff_free(pma
);
1423 for (i
= gen
->shared_len
; i
< len
; ++i
)
1430 for (i
= len
; i
< gen
->thread_tiled_len
; ++i
)
1434 if (gen
->any_force_private
) {
1435 remove_private_tiles(gen
);
1440 for (i
= 0; i
< gen
->shared_len
; ++i
)
1442 for (i
= gen
->shared_len
; i
< gen
->thread_tiled_len
; ++i
)
1445 gen
->first_unroll
= j
- gen
->shared_len
;
1446 for (i
= gen
->shared_len
; i
< len
; ++i
)
1450 dim
= isl_union_map_get_space(sched
);
1451 permute
= permutation(dim
, perm
, gen
->thread_tiled_len
);
1452 sched
= isl_union_map_apply_range(sched
,
1453 isl_union_map_from_map(permute
));
1458 /* Construct a map with input the shared tile loops and the loops that
1459 * will be wrapped around the threads that relates these later loops
1460 * to the thread indices and then projects them out.
1462 static __isl_give isl_map
*compute_privatization(struct gpu_gen
*gen
)
1470 dim
= isl_union_map_get_space(gen
->shared_sched
);
1472 if (gen
->options
->wrap
)
1473 tiling
= wrap(isl_space_copy(dim
), gen
->shared_len
+ gen
->n_block
,
1474 gen
->shared_len
, gen
->n_block
, gen
->block_dim
);
1476 tiling
= tile(isl_space_copy(dim
), gen
->shared_len
+ gen
->n_block
,
1477 gen
->shared_len
, gen
->n_block
, gen
->block_dim
);
1481 par
= parametrization(dim
, gen
->shared_len
+ 2 * gen
->n_block
,
1482 gen
->tile_first
+ gen
->tile_len
+ gen
->n_grid
+ gen
->n_block
,
1483 gen
->kernel
->thread_ids
);
1485 priv
= isl_map_align_params(priv
, isl_set_get_space(par
));
1486 priv
= isl_map_intersect_range(priv
, par
);
1488 dim
= isl_map_get_space(priv
);
1489 dim
= isl_space_drop_dims(dim
, isl_dim_in
, 0, isl_space_dim(dim
, isl_dim_in
));
1490 dim
= isl_space_drop_dims(dim
, isl_dim_out
, 0, isl_space_dim(dim
, isl_dim_out
));
1491 proj
= projection(dim
, gen
->shared_len
+ 2 * gen
->n_block
,
1494 priv
= isl_map_apply_range(priv
, proj
);
1499 /* If max_shared_memory is not set to infinity (-1), then make
1500 * sure that the total amount of shared memory required by the
1501 * array reference groups mapped to shared memory is no larger
1502 * than this maximum.
1504 * We apply a greedy approach and discard (keep in global memory)
1505 * those groups that would result in a total memory size that
1506 * is larger than the maximum.
1508 * This function should be called after any function that may
1509 * affect the decision on whether to place a reference group
1510 * in private, shared or global memory.
1512 static void check_shared_memory_bound(struct gpu_gen
*gen
)
1515 isl_val
*left
, *size
;
1517 if (gen
->options
->max_shared_memory
< 0)
1520 left
= isl_val_int_from_si(gen
->ctx
, gen
->options
->max_shared_memory
);
1522 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
1523 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
1525 for (j
= 0; j
< array
->n_group
; ++j
) {
1526 struct gpu_array_ref_group
*group
;
1528 group
= array
->groups
[j
];
1529 if (group
->private_tile
)
1531 if (!group
->shared_tile
)
1534 size
= gpu_array_tile_size(group
->shared_tile
);
1535 size
= isl_val_mul_ui(size
, array
->size
);
1537 if (isl_val_le(size
, left
)) {
1538 left
= isl_val_sub(left
, size
);
1543 group
->shared_tile
=
1544 gpu_array_tile_free(group
->shared_tile
);
1551 /* Compute a tiling for all the array reference groups.
1553 static void compute_group_tilings(struct gpu_gen
*gen
)
1557 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
1558 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
1560 for (j
= 0; j
< array
->n_group
; ++j
)
1561 gpu_array_ref_group_compute_tiling(array
->groups
[j
]);
1565 /* Take tiled_sched, project it onto the shared tile loops and
1566 * the loops that will be wrapped over the threads and
1567 * store the result in gen->shared_sched.
1568 * Also compute a projection that projects out the loops that will be
1569 * wrapped over the threads and store this projection in gen->shared_proj.
1571 static void compute_shared_sched(struct gpu_gen
*gen
)
1576 isl_union_map
*sched
;
1578 sched
= isl_union_map_copy(gen
->tiled_sched
);
1580 dim
= isl_union_map_get_space(sched
);
1581 proj
= projection(dim
, gen
->tiled_len
, gen
->shared_len
+ gen
->n_block
);
1582 sched
= isl_union_map_apply_range(sched
, isl_union_map_from_map(proj
));
1584 dim
= isl_union_map_get_space(sched
);
1585 proj
= projection(dim
, gen
->shared_len
+ gen
->n_block
, gen
->shared_len
);
1587 gen
->shared_sched
= sched
;
1588 gen
->shared_proj
= isl_union_map_from_map(proj
);
1591 /* Free all array information that is local to the current kernel.
1593 static void free_local_array_info(struct gpu_gen
*gen
)
1597 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
1598 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
1600 for (j
= 0; j
< array
->n_group
; ++j
)
1601 gpu_array_ref_group_free(array
->groups
[j
]);
1602 free(array
->groups
);
1606 /* Compute the size of a bounding box around the origin and "set",
1607 * where "set" is assumed to contain only non-negative elements.
1608 * In particular, compute the maximal value of "set" in each direction
1611 static __isl_give isl_multi_pw_aff
*extract_size(__isl_take isl_set
*set
,
1612 __isl_keep isl_set
*context
)
1615 isl_multi_pw_aff
*mpa
;
1617 n
= isl_set_dim(set
, isl_dim_set
);
1618 mpa
= isl_multi_pw_aff_zero(isl_set_get_space(set
));
1619 for (i
= 0; i
< n
; ++i
) {
1624 bound
= isl_set_dim_max(isl_set_copy(set
), i
);
1625 bound
= isl_pw_aff_coalesce(bound
);
1626 bound
= isl_pw_aff_gist(bound
, isl_set_copy(context
));
1628 space
= isl_pw_aff_get_domain_space(bound
);
1629 one
= isl_aff_zero_on_domain(isl_local_space_from_space(space
));
1630 one
= isl_aff_add_constant_si(one
, 1);
1631 bound
= isl_pw_aff_add(bound
, isl_pw_aff_from_aff(one
));
1632 mpa
= isl_multi_pw_aff_set_pw_aff(mpa
, i
, bound
);
1639 /* Compute the effective grid size as a list of the sizes in each dimension.
1641 * The grid size specified by the user or set by default
1642 * in read_grid_sizes() and applied in tile_schedule(),
1643 * may be too large for the given code in the sense that
1644 * it may contain blocks that don't need to execute anything.
1645 * We therefore don't return this grid size, but instead the
1646 * smallest grid size that ensures that all blocks that actually
1647 * execute code are included in the grid.
1649 * We first extract a description of the grid, i.e., the possible values
1650 * of the block ids, from gen->tiled_sched.
1651 * The block ids are parameters in gen->tiled_sched.
1652 * We simply need to change them into set dimensions.
1654 * Then, for each block dimension, we compute the maximal value of the block id
1657 static __isl_give isl_multi_pw_aff
*extract_grid_size(struct gpu_gen
*gen
,
1658 struct ppcg_kernel
*kernel
)
1663 grid
= isl_union_map_params(isl_union_map_copy(gen
->tiled_sched
));
1664 grid
= isl_set_from_params(grid
);
1665 grid
= isl_set_add_dims(grid
, isl_dim_set
, gen
->n_grid
);
1666 for (i
= 0; i
< gen
->n_grid
; ++i
) {
1670 id
= isl_id_list_get_id(kernel
->block_ids
, i
);
1671 pos
= isl_set_find_dim_by_id(grid
, isl_dim_param
, id
);
1674 grid
= isl_set_equate(grid
, isl_dim_param
, pos
, isl_dim_set
, i
);
1675 grid
= isl_set_project_out(grid
, isl_dim_param
, pos
, 1);
1678 return extract_size(grid
, kernel
->context
);
1681 /* Compute the size of a fixed bounding box around the origin and "set",
1682 * where "set" is assumed to contain only non-negative elements,
1683 * and store the results in "size".
1684 * In particular, compute the maximal value of "set" in each direction
1687 static void extract_fixed_size(__isl_take isl_set
*set
, int *size
)
1690 isl_local_space
*ls
;
1693 n
= isl_set_dim(set
, isl_dim_set
);
1694 ls
= isl_local_space_from_space(isl_set_get_space(set
));
1695 obj
= isl_aff_zero_on_domain(ls
);
1696 for (i
= 0; i
< n
; ++i
) {
1699 obj
= isl_aff_set_coefficient_si(obj
, isl_dim_in
, i
, 1);
1700 max
= isl_set_max_val(set
, obj
);
1701 size
[i
] = isl_val_get_num_si(max
) + 1;
1703 obj
= isl_aff_set_coefficient_si(obj
, isl_dim_in
, i
, 0);
1709 /* Compute the effective block size as a list of the sizes in each dimension
1710 * and store the sizes in kernel->block_dim.
1712 * The block size specified by the user or set by default
1713 * in read_block_sizes() and applied in thread_tile_schedule(),
1714 * may be too large for the given code in the sense that
1715 * it may contain threads that don't need to execute anything.
1716 * We therefore don't store this block size in kernel->block_dim,
1717 * but instead the smallest block size that ensures that all threads
1718 * that actually execute code are included in the block.
1720 * The current implementation eliminates all parameters, ensuring
1721 * that the size is a fixed constant in each dimension.
1722 * In principle we could also compute parametric sizes.
1723 * We would have to make sure to project out all b%d and t%d parameters,
1726 static void extract_block_size(struct gpu_gen
*gen
, struct ppcg_kernel
*kernel
)
1731 isl_multi_pw_aff
*mpa
;
1733 block
= isl_union_map_params(isl_union_map_copy(gen
->local_sched
));
1734 block
= isl_set_from_params(block
);
1735 block
= isl_set_add_dims(block
, isl_dim_set
, gen
->n_block
);
1736 kernel
->n_block
= gen
->n_block
;
1737 for (i
= 0; i
< gen
->n_block
; ++i
) {
1741 id
= isl_id_list_get_id(kernel
->thread_ids
, i
);
1742 pos
= isl_set_find_dim_by_id(block
, isl_dim_param
, id
);
1745 block
= isl_set_equate(block
, isl_dim_param
, pos
,
1748 nparam
= isl_set_dim(block
, isl_dim_param
);
1749 block
= isl_set_project_out(block
, isl_dim_param
, 0, nparam
);
1751 extract_fixed_size(block
, kernel
->block_dim
);
1754 struct ppcg_kernel
*ppcg_kernel_free(struct ppcg_kernel
*kernel
)
1761 isl_id_list_free(kernel
->block_ids
);
1762 isl_id_list_free(kernel
->thread_ids
);
1763 isl_multi_pw_aff_free(kernel
->grid_size
);
1764 isl_set_free(kernel
->context
);
1765 isl_union_set_free(kernel
->arrays
);
1766 isl_space_free(kernel
->space
);
1767 isl_ast_node_free(kernel
->tree
);
1769 for (i
= 0; i
< kernel
->n_array
; ++i
)
1770 isl_pw_aff_list_free(kernel
->array
[i
].bound
);
1771 free(kernel
->array
);
1773 for (i
= 0; i
< kernel
->n_var
; ++i
) {
1774 free(kernel
->var
[i
].name
);
1775 isl_vec_free(kernel
->var
[i
].size
);
1784 /* Wrapper around ppcg_kernel_free for use as a isl_id_set_free_user callback.
1786 static void ppcg_kernel_free_wrap(void *user
)
1788 struct ppcg_kernel
*kernel
= user
;
1790 ppcg_kernel_free(kernel
);
1793 static void create_kernel_var(isl_ctx
*ctx
, struct gpu_array_ref_group
*group
,
1794 struct ppcg_kernel_var
*var
)
1797 struct gpu_array_tile
*tile
;
1801 var
->array
= group
->array
;
1803 tile
= group
->private_tile
;
1804 var
->type
= ppcg_access_private
;
1806 tile
= group
->shared_tile
;
1807 var
->type
= ppcg_access_shared
;
1810 p
= isl_printer_to_str(ctx
);
1811 p
= gpu_array_ref_group_print_name(group
, p
);
1812 var
->name
= isl_printer_get_str(p
);
1813 isl_printer_free(p
);
1815 var
->size
= isl_vec_alloc(ctx
, group
->array
->n_index
);
1817 for (j
= 0; j
< group
->array
->n_index
; ++j
)
1818 var
->size
= isl_vec_set_element_val(var
->size
, j
,
1819 isl_val_copy(tile
->bound
[j
].size
));
1822 static void create_kernel_vars(struct gpu_gen
*gen
, struct ppcg_kernel
*kernel
)
1827 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
1828 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
1830 for (j
= 0; j
< array
->n_group
; ++j
) {
1831 struct gpu_array_ref_group
*group
= array
->groups
[j
];
1832 if (group
->private_tile
|| group
->shared_tile
)
1838 kernel
->var
= isl_calloc_array(gen
->ctx
, struct ppcg_kernel_var
, n
);
1839 assert(kernel
->var
);
1842 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
1843 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
1845 for (j
= 0; j
< array
->n_group
; ++j
) {
1846 struct gpu_array_ref_group
*group
= array
->groups
[j
];
1847 if (!group
->private_tile
&& !group
->shared_tile
)
1849 create_kernel_var(gen
->ctx
, group
, &kernel
->var
[n
]);
1855 /* Replace "pa" by the zero function defined over the universe domain
1856 * in the space of "pa".
1858 static __isl_give isl_pw_aff
*set_universally_zero(__isl_take isl_pw_aff
*pa
)
1863 space
= isl_space_domain(isl_pw_aff_get_space(pa
));
1864 isl_pw_aff_free(pa
);
1865 zero
= isl_aff_zero_on_domain(isl_local_space_from_space(space
));
1867 return isl_pw_aff_from_aff(zero
);
1870 /* The sizes of the arrays on the host that have been computed by
1871 * extract_array_info may depend on the parameters. Use the extra
1872 * constraints on the parameters that are valid at "host_domain"
1873 * to simplify these expressions and store the results in kernel->array.
1875 * We only need these localized bounds for arrays that are accessed
1876 * by the current kernel. If we have found at least one reference group
1877 * then the array is accessed by the kernel. If the array has compound
1878 * elements then we skipped the construction of array reference groups.
1880 * The resulting sizes may be functions that are nowhere defined
1881 * in case the access function cannot possibly access anything inside
1882 * the kernel for some reason. If so, they are replaced by the zero
1883 * function. Since the access function cannot actually access anything,
1884 * there is no harm in printing the array sizes as zero.
1886 static void localize_bounds(struct gpu_gen
*gen
, struct ppcg_kernel
*kernel
,
1887 __isl_keep isl_set
*host_domain
)
1892 context
= isl_set_copy(host_domain
);
1893 context
= isl_set_params(context
);
1895 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
1896 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
1897 isl_pw_aff_list
*local
;
1899 if (array
->n_group
== 0 && !array
->has_compound_element
)
1902 local
= isl_pw_aff_list_alloc(gen
->ctx
, array
->n_index
);
1904 for (j
= 0; j
< array
->n_index
; ++j
) {
1908 pwaff
= isl_pw_aff_copy(array
->bound
[j
]);
1909 pwaff
= isl_pw_aff_gist(pwaff
, isl_set_copy(context
));
1910 empty
= isl_pw_aff_is_empty(pwaff
);
1912 pwaff
= isl_pw_aff_free(pwaff
);
1914 pwaff
= set_universally_zero(pwaff
);
1915 local
= isl_pw_aff_list_add(local
, pwaff
);
1918 kernel
->array
[i
].n_index
= array
->n_index
;
1919 kernel
->array
[i
].bound
= local
;
1921 isl_set_free(context
);
1924 /* Create the array of gpu_local_array_info structures "array"
1925 * inside "kernel". The number of elements in this array is
1926 * the same as the number of arrays in "prog".
1928 static struct ppcg_kernel
*ppcg_kernel_create_local_arrays(
1929 struct ppcg_kernel
*kernel
, struct gpu_prog
*prog
)
1933 ctx
= isl_set_get_ctx(prog
->context
);
1934 kernel
->array
= isl_calloc_array(ctx
,
1935 struct gpu_local_array_info
, prog
->n_array
);
1937 return ppcg_kernel_free(kernel
);
1938 kernel
->n_array
= prog
->n_array
;
1943 /* Find the element in gen->stmt that has the given "id".
1944 * Return NULL if no such gpu_stmt can be found.
1946 static struct gpu_stmt
*find_stmt(struct gpu_prog
*prog
, __isl_keep isl_id
*id
)
1950 for (i
= 0; i
< prog
->n_stmts
; ++i
) {
1951 if (id
== prog
->stmts
[i
].id
)
1955 return i
< prog
->n_stmts
? &prog
->stmts
[i
] : NULL
;
1958 /* Set gen->tile_len and gen->n_parallel to those of the statement
1959 * affected by the first map (part of the schedule)
1960 * on which this function is called.
1961 * Because of the way the schedule is constructed, the other statements
1962 * in the list, if any, should have the same values for these properties.
1964 static int extract_tile_len(__isl_take isl_map
*map
, void *user
)
1966 struct gpu_gen
*gen
= (struct gpu_gen
*) user
;
1968 struct gpu_stmt
*stmt
;
1970 id
= isl_map_get_tuple_id(map
, isl_dim_in
);
1971 stmt
= find_stmt(gen
->prog
, id
);
1977 isl_die(gen
->ctx
, isl_error_unknown
,
1978 "statement not found", return -1);
1980 gen
->tile_len
= stmt
->tile_len
;
1981 gen
->n_parallel
= stmt
->n_parallel
;
1986 void ppcg_kernel_stmt_free(void *user
)
1989 struct ppcg_kernel_stmt
*stmt
= user
;
1994 switch (stmt
->type
) {
1995 case ppcg_kernel_copy
:
1996 isl_ast_expr_free(stmt
->u
.c
.index
);
1997 isl_ast_expr_free(stmt
->u
.c
.local_index
);
1999 case ppcg_kernel_domain
:
2000 isl_id_to_ast_expr_free(stmt
->u
.d
.ref2expr
);
2002 case ppcg_kernel_sync
:
2009 /* Set the options of "context" to
2011 * { space -> [x] : x >= first }
2013 static __isl_give isl_ast_build
*set_unroll(
2014 __isl_take isl_ast_build
*build
, __isl_take isl_space
*space
,
2021 ctx
= isl_ast_build_get_ctx(build
);
2023 space
= isl_space_from_domain(space
);
2024 space
= isl_space_add_dims(space
, isl_dim_out
, 1);
2025 space
= isl_space_set_tuple_name(space
, isl_dim_out
, "unroll");
2026 unroll
= isl_map_universe(space
);
2027 unroll
= isl_map_lower_bound_si(unroll
, isl_dim_out
, 0, first
);
2028 opt
= isl_union_map_from_map(unroll
);
2030 build
= isl_ast_build_set_options(build
, opt
);
2035 /* Extend the schedule "schedule" with the part of "extension"
2036 * starting at "first" up to "len".
2038 static __isl_give isl_union_map
*extend_schedule(
2039 __isl_take isl_union_map
*schedule
,
2040 __isl_take isl_union_map
*extension
, int first
, int len
)
2044 isl_union_map
*umap
;
2047 space
= isl_union_map_get_space(schedule
);
2048 space
= isl_space_set_from_params(space
);
2049 space
= isl_space_add_dims(space
, isl_dim_set
, len
);
2050 proj
= isl_set_identity(isl_set_universe(space
));
2051 proj
= isl_map_project_out(proj
, isl_dim_out
, 0, first
);
2052 extension
= isl_union_map_apply_range(extension
,
2053 isl_union_map_from_map(proj
));
2055 schedule
= isl_union_map_range_product(schedule
, extension
);
2060 /* Return the gpu_stmt_access in the list "accesses" that corresponds
2063 static struct gpu_stmt_access
*find_access(struct gpu_stmt_access
*accesses
,
2064 __isl_keep isl_id
*ref_id
)
2066 struct gpu_stmt_access
*access
;
2068 for (access
= accesses
; access
; access
= access
->next
)
2069 if (access
->ref_id
== ref_id
)
2075 /* Return the index of the array called "name" in the list of arrays.
2077 static int find_array_index(struct gpu_gen
*gen
, const char *name
)
2081 for (i
= 0; i
< gen
->prog
->n_array
; ++i
)
2082 if (!strcmp(name
, gen
->prog
->array
[i
].name
))
2088 /* Internal data structure for the index and AST expression transformation
2089 * callbacks for pet_stmt_build_ast_exprs.
2091 * "accesses" is the list of gpu_stmt_access in the statement.
2092 * "iterator_map" expresses the statement iterators in terms of
2093 * the AST loop iterators.
2094 * "sched2shared" expresses the first shared_len dimensions of
2095 * the computed schedule in terms of the AST loop iterators.
2097 * The following fields are set in transform_index and used in transform_expr.
2098 * "array" is the array that is being accessed.
2099 * "global" is set if the global array is accessed (rather than
2100 * shared/private memory).
2101 * "local_array" refers to information on the array specialized
2102 * to the current kernel.
2104 struct ppcg_transform_data
{
2105 struct gpu_gen
*gen
;
2106 struct gpu_stmt_access
*accesses
;
2107 isl_pw_multi_aff
*iterator_map
;
2108 isl_pw_multi_aff
*sched2shared
;
2110 struct gpu_array_info
*array
;
2112 struct gpu_local_array_info
*local_array
;
2115 /* Return the name of the outer array (of structs) accessed by "access".
2117 static const char *get_outer_array_name(__isl_keep isl_map
*access
)
2122 space
= isl_space_range(isl_map_get_space(access
));
2123 while (space
&& isl_space_is_wrapping(space
))
2124 space
= isl_space_domain(isl_space_unwrap(space
));
2125 name
= isl_space_get_tuple_name(space
, isl_dim_set
);
2126 isl_space_free(space
);
2131 /* Index transformation callback for pet_stmt_build_ast_exprs.
2133 * "index" expresses the array indices in terms of statement iterators
2135 * We first reformulate "index" in terms of the AST loop iterators.
2136 * Then we check if we are accessing the global array or
2137 * a shared/private copy. In the former case, we simply return
2138 * the updated index. If "index" is an affine expression rather
2139 * than an array access, then we also return the updated index here.
2141 * If no reference groups have been computed for the array,
2142 * then we can only be accessing the global array.
2144 * Otherwise, we apply the tiling to the index.
2145 * This tiling is of the form
2149 * The index is of the form
2153 * We update the tiling to refer to the AST loop iterators
2157 * and modify index to keep track of those iterators
2161 * Combining these two yields a tiled index expression in terms
2162 * of the AST loop iterators
2166 static __isl_give isl_multi_pw_aff
*transform_index(
2167 __isl_take isl_multi_pw_aff
*index
, __isl_keep isl_id
*ref_id
,
2170 struct ppcg_transform_data
*data
= user
;
2171 struct gpu_stmt_access
*access
;
2172 struct gpu_array_ref_group
*group
;
2173 struct gpu_array_tile
*tile
;
2174 isl_pw_multi_aff
*iterator_map
;
2178 isl_multi_pw_aff
*tiling
;
2179 isl_pw_multi_aff
*pma
;
2180 isl_multi_pw_aff
*mpa
;
2184 iterator_map
= isl_pw_multi_aff_copy(data
->iterator_map
);
2185 index
= isl_multi_pw_aff_pullback_pw_multi_aff(index
, iterator_map
);
2187 access
= find_access(data
->accesses
, ref_id
);
2190 if (!isl_map_has_tuple_name(access
->access
, isl_dim_out
))
2193 name
= get_outer_array_name(access
->access
);
2194 i
= find_array_index(data
->gen
, name
);
2196 isl_die(isl_multi_pw_aff_get_ctx(index
), isl_error_internal
,
2197 "cannot find array",
2198 return isl_multi_pw_aff_free(index
));
2199 data
->array
= &data
->gen
->prog
->array
[i
];
2200 data
->local_array
= &data
->gen
->kernel
->array
[i
];
2202 if (access
->group
< 0) {
2207 group
= data
->array
->groups
[access
->group
];
2208 tile
= group
->private_tile
;
2210 tile
= group
->shared_tile
;
2211 data
->global
= !tile
;
2215 space
= isl_space_range(isl_multi_pw_aff_get_space(index
));
2216 space
= isl_space_map_from_set(space
);
2217 pma
= isl_pw_multi_aff_identity(space
);
2218 pma
= isl_pw_multi_aff_product(
2219 isl_pw_multi_aff_copy(data
->sched2shared
), pma
);
2220 tiling
= isl_multi_pw_aff_from_multi_aff(
2221 isl_multi_aff_copy(tile
->tiling
));
2222 tiling
= isl_multi_pw_aff_pullback_pw_multi_aff(tiling
, pma
);
2224 space
= isl_space_domain(isl_multi_pw_aff_get_space(index
));
2225 space
= isl_space_map_from_set(space
);
2226 mpa
= isl_multi_pw_aff_identity(space
);
2227 index
= isl_multi_pw_aff_range_product(mpa
, index
);
2228 index
= isl_multi_pw_aff_pullback_multi_pw_aff(tiling
, index
);
2233 /* Dereference "expr" by adding an index [0].
2234 * The original "expr" is assumed not to have any indices.
2236 * If "expr" is a member access, then the dereferencing needs
2237 * to be applied to the structure argument of this member access.
2239 static __isl_give isl_ast_expr
*dereference(__isl_take isl_ast_expr
*expr
)
2242 isl_ast_expr
*arg0
, *res
;
2243 isl_ast_expr_list
*list
;
2245 arg0
= isl_ast_expr_get_op_arg(expr
, 0);
2247 return isl_ast_expr_free(expr
);
2248 if (isl_ast_expr_get_type(arg0
) == isl_ast_expr_op
&&
2249 isl_ast_expr_get_op_type(arg0
) == isl_ast_op_member
) {
2252 arg
= isl_ast_expr_get_op_arg(arg0
, 0);
2253 arg
= dereference(arg
);
2254 arg0
= isl_ast_expr_set_op_arg(arg0
, 0, arg
);
2255 expr
= isl_ast_expr_set_op_arg(expr
, 0, arg0
);
2259 isl_ast_expr_free(arg0
);
2261 ctx
= isl_ast_expr_get_ctx(expr
);
2262 res
= isl_ast_expr_from_val(isl_val_zero(ctx
));
2263 list
= isl_ast_expr_list_from_ast_expr(res
);
2264 res
= isl_ast_expr_get_op_arg(expr
, 0);
2265 res
= isl_ast_expr_access(res
, list
);
2266 isl_ast_expr_free(expr
);
2271 /* Linearize the index expression "expr" based on the array bounds
2274 * That is, transform expression
2276 * A[i_0][i_1]...[i_n]
2280 * A[(..((i_0 * b_1 + i_1) ... ) * b_n + i_n]
2282 * where b_0, b_1, ..., b_n are the bounds on the array.
2284 * If the base of "expr" is a member access, then the linearization needs
2285 * to be applied to the structure argument of this member access.
2287 * In the base case, if "expr" has no arguments (other than the name of
2288 * the array), then we are passing an entire array to a function.
2289 * In this case, there is nothing to linearize.
2290 * Note that at this point an expression with no arguments can
2291 * only be an entire array because the scalar case and
2292 * the case of single struct are handled by the caller.
2294 * If the number of specified index expressions in "expr"
2295 * is smaller than the dimension of the accessed array,
2296 * then the missing i_j also do not appear in the linearized expression.
2297 * Furthermore, since such an expression does not refer to a single
2298 * element while the default linearized expression would refer to
2299 * a single element, we return the expression
2301 * A + (..((i_0 * b_1 + i_1) ... ) * b_n]
2303 * instead. Note that because of the special case handling above,
2304 * we can assume here that here that there is at least one index expression.
2306 __isl_give isl_ast_expr
*gpu_local_array_info_linearize_index(
2307 struct gpu_local_array_info
*array
, __isl_take isl_ast_expr
*expr
)
2314 isl_ast_expr_list
*list
;
2315 isl_ast_build
*build
;
2317 arg0
= isl_ast_expr_get_op_arg(expr
, 0);
2318 if (isl_ast_expr_get_type(arg0
) == isl_ast_expr_op
&&
2319 isl_ast_expr_get_op_type(arg0
) == isl_ast_op_member
) {
2322 arg
= isl_ast_expr_get_op_arg(arg0
, 0);
2323 arg
= gpu_local_array_info_linearize_index(array
, arg
);
2324 arg0
= isl_ast_expr_set_op_arg(arg0
, 0, arg
);
2325 expr
= isl_ast_expr_set_op_arg(expr
, 0, arg0
);
2329 isl_ast_expr_free(arg0
);
2331 if (isl_ast_expr_get_op_n_arg(expr
) == 1)
2334 ctx
= isl_ast_expr_get_ctx(expr
);
2335 context
= isl_set_universe(isl_space_params_alloc(ctx
, 0));
2336 build
= isl_ast_build_from_context(context
);
2338 n
= isl_ast_expr_get_op_n_arg(expr
);
2339 res
= isl_ast_expr_get_op_arg(expr
, 1);
2340 for (i
= 1; i
< array
->n_index
; ++i
) {
2341 isl_pw_aff
*bound_i
;
2342 isl_ast_expr
*expr_i
;
2344 bound_i
= isl_pw_aff_list_get_pw_aff(array
->bound
, i
);
2345 expr_i
= isl_ast_build_expr_from_pw_aff(build
, bound_i
);
2346 res
= isl_ast_expr_mul(res
, expr_i
);
2350 expr_i
= isl_ast_expr_get_op_arg(expr
, i
+ 1);
2351 res
= isl_ast_expr_add(res
, expr_i
);
2354 isl_ast_build_free(build
);
2356 if (1 + array
->n_index
> n
) {
2357 res
= isl_ast_expr_add(isl_ast_expr_get_op_arg(expr
, 0), res
);
2359 list
= isl_ast_expr_list_from_ast_expr(res
);
2360 res
= isl_ast_expr_get_op_arg(expr
, 0);
2361 res
= isl_ast_expr_access(res
, list
);
2364 isl_ast_expr_free(expr
);
2369 /* AST expression transformation callback for pet_stmt_build_ast_exprs.
2371 * If the AST expression refers to an array that is not accessed
2372 * at all, then this means the value of the expression is not used,
2373 * so we might as well print zero (NULL pointer) instead.
2375 * If the AST expression refers to a global scalar that is not
2376 * a read-only scalar, then its address was passed to the kernel and
2377 * we need to dereference it.
2379 * If the AST expression refers to an access to a global array,
2380 * then we linearize the access exploiting the bounds in data->local_array.
2382 static __isl_give isl_ast_expr
*transform_expr(__isl_take isl_ast_expr
*expr
,
2383 __isl_keep isl_id
*id
, void *user
)
2385 struct ppcg_transform_data
*data
= user
;
2389 if (!data
->array
->accessed
) {
2392 ctx
= isl_ast_expr_get_ctx(expr
);
2393 isl_ast_expr_free(expr
);
2394 return isl_ast_expr_from_val(isl_val_zero(ctx
));
2396 if (gpu_array_is_read_only_scalar(data
->array
))
2400 if (data
->array
->n_index
== 0)
2401 return dereference(expr
);
2402 if (!data
->array
->linearize
)
2405 return gpu_local_array_info_linearize_index(data
->local_array
, expr
);
2408 /* This function is called for each instance of a user statement
2411 * We attach a struct ppcg_kernel_stmt to the "node", containing
2412 * a computed AST expression for each access.
2413 * These AST expressions are computed from iterator_map,
2414 * which expresses the domain
2415 * elements in terms of the generated loops, and sched2shared,
2416 * which expresses the first shared_len dimensions of the schedule
2417 * computed by PPCG in terms of the generated loops.
2419 static __isl_give isl_ast_node
*at_each_domain(__isl_take isl_ast_node
*node
,
2420 __isl_keep isl_ast_build
*build
, void *user
)
2422 struct ppcg_transform_data data
;
2423 struct gpu_gen
*gen
= (struct gpu_gen
*) user
;
2424 struct ppcg_kernel_stmt
*stmt
;
2426 isl_pw_multi_aff
*sched2shared
;
2428 isl_pw_multi_aff
*iterator_map
;
2429 isl_ast_expr
*expr
, *arg
;
2430 isl_union_map
*schedule
;
2432 stmt
= isl_calloc_type(gen
->ctx
, struct ppcg_kernel_stmt
);
2434 return isl_ast_node_free(node
);
2436 expr
= isl_ast_node_user_get_expr(node
);
2437 arg
= isl_ast_expr_get_op_arg(expr
, 0);
2438 id
= isl_ast_expr_get_id(arg
);
2440 schedule
= isl_ast_build_get_schedule(build
);
2441 map
= isl_map_reverse(isl_map_from_union_map(schedule
));
2442 iterator_map
= isl_pw_multi_aff_from_map(map
);
2443 sched2shared
= compute_sched_to_shared(gen
,
2444 isl_pw_multi_aff_copy(iterator_map
));
2446 stmt
->type
= ppcg_kernel_domain
;
2447 stmt
->u
.d
.stmt
= find_stmt(gen
->prog
, id
);
2448 if (!stmt
->u
.d
.stmt
)
2449 isl_die(gen
->ctx
, isl_error_internal
,
2450 "statement not found", goto error
);
2453 data
.accesses
= stmt
->u
.d
.stmt
->accesses
;
2454 data
.iterator_map
= iterator_map
;
2455 data
.sched2shared
= sched2shared
;
2456 stmt
->u
.d
.ref2expr
= pet_stmt_build_ast_exprs(stmt
->u
.d
.stmt
->stmt
,
2457 build
, &transform_index
, &data
,
2458 &transform_expr
, &data
);
2461 isl_pw_multi_aff_free(iterator_map
);
2462 isl_pw_multi_aff_free(sched2shared
);
2463 isl_ast_expr_free(arg
);
2464 isl_ast_expr_free(expr
);
2466 id
= isl_id_alloc(gen
->ctx
, NULL
, stmt
);
2467 id
= isl_id_set_free_user(id
, &ppcg_kernel_stmt_free
);
2468 return isl_ast_node_set_annotation(node
, id
);
2471 isl_pw_multi_aff_free(iterator_map
);
2472 ppcg_kernel_stmt_free(stmt
);
2473 isl_pw_multi_aff_free(sched2shared
);
2474 return isl_ast_node_free(node
);
2477 /* This function is called when code has been generated for the shared
2478 * tile loops. The "schedule" refers only to the original statements.
2480 * We extend the schedule with that part of gen->local_sched that hasn't
2481 * been taken into account yet. This introduces parameters referring
2482 * to thread ids in the schedule, so we add them (with the appropriate
2483 * bounds to the context as well).
2484 * Finally, we set the appropriate unrolling options
2485 * if gen->first_unroll is set.
2487 static __isl_give isl_ast_node
*create_domain_leaf(
2488 __isl_take isl_union_map
*schedule
, __isl_take isl_ast_build
*build
,
2491 struct gpu_gen
*gen
= (struct gpu_gen
*) user
;
2493 isl_union_map
*sched
;
2496 isl_id_list
*iterators
;
2499 schedule
= extend_schedule(schedule
,
2500 isl_union_map_copy(gen
->local_sched
),
2501 gen
->shared_len
, gen
->thread_tiled_len
);
2503 space
= isl_ast_build_get_schedule_space(build
);
2504 set
= isl_set_universe(space
);
2505 set
= add_bounded_parameters(set
, gen
->kernel
->block_dim
,
2506 gen
->kernel
->thread_ids
);
2507 build
= isl_ast_build_restrict(build
, set
);
2509 n
= gen
->thread_tiled_len
- gen
->shared_len
;
2511 if (gen
->first_unroll
>= 0) {
2512 space
= isl_space_set_alloc(gen
->ctx
, 0, n
);
2513 build
= set_unroll(build
, space
, gen
->first_unroll
);
2515 iterators
= ppcg_scop_generate_names(gen
->prog
->scop
, n
, "c");
2516 build
= isl_ast_build_set_iterators(build
, iterators
);
2517 build
= isl_ast_build_set_at_each_domain(build
, &at_each_domain
, gen
);
2518 tree
= isl_ast_build_node_from_schedule_map(build
, schedule
);
2519 isl_ast_build_free(build
);
2524 /* This function is called for each statement node in the AST of the code
2525 * for copying to or from shared/private memory.
2526 * Attach a pointer to a ppcg_kernel_stmt representing the copy
2527 * statement to the node.
2528 * The statement name is "read" or "write", depending on whether we are
2529 * reading from global memory or writing to global memory.
2530 * The name of the T space is {shared,private}_<array>.
2532 * The schedule is of the form
2536 * where A refers to a piece of an array and T to the corresponding
2537 * shifted tile. We split this schedule into mappings L -> A and L -> T
2538 * and store the corresponding expressions in stmt->index and stmt->local_index,
2539 * where stmt points to the ppcg_kernel_stmt that is attached to the node.
2541 static __isl_give isl_ast_node
*attach_copy_stmt(__isl_take isl_ast_node
*node
,
2542 __isl_keep isl_ast_build
*build
, void *user
)
2544 struct gpu_gen
*gen
= (struct gpu_gen
*) user
;
2545 struct ppcg_kernel_stmt
*stmt
;
2549 isl_map
*access
, *local_access
, *map
;
2550 isl_pw_multi_aff
*pma
;
2554 stmt
= isl_calloc_type(gen
->ctx
, struct ppcg_kernel_stmt
);
2556 return isl_ast_node_free(node
);
2558 access
= isl_map_from_union_map(isl_ast_build_get_schedule(build
));
2559 type
= isl_map_get_tuple_name(access
, isl_dim_in
);
2560 stmt
->u
.c
.read
= !strcmp(type
, "read");
2561 access
= isl_map_reverse(access
);
2562 space
= isl_space_unwrap(isl_space_range(isl_map_get_space(access
)));
2563 local_access
= isl_map_copy(access
);
2565 map
= isl_map_domain_map(isl_map_universe(isl_space_copy(space
)));
2566 id
= isl_map_get_tuple_id(access
, isl_dim_out
);
2567 map
= isl_map_set_tuple_id(map
, isl_dim_in
, id
);
2568 access
= isl_map_apply_range(access
, map
);
2569 pma
= isl_pw_multi_aff_from_map(access
);
2570 expr
= isl_ast_build_access_from_pw_multi_aff(build
, pma
);
2571 stmt
->u
.c
.index
= expr
;
2573 map
= isl_map_range_map(isl_map_universe(space
));
2574 id
= isl_map_get_tuple_id(local_access
, isl_dim_out
);
2575 map
= isl_map_set_tuple_id(map
, isl_dim_in
, id
);
2576 local_access
= isl_map_apply_range(local_access
, map
);
2577 pma
= isl_pw_multi_aff_from_map(local_access
);
2578 expr
= isl_ast_build_access_from_pw_multi_aff(build
, pma
);
2579 stmt
->u
.c
.local_index
= expr
;
2581 stmt
->u
.c
.array
= gen
->copy_group
->array
;
2582 array_index
= stmt
->u
.c
.array
- gen
->prog
->array
;
2583 stmt
->u
.c
.local_array
= &gen
->kernel
->array
[array_index
];
2584 stmt
->type
= ppcg_kernel_copy
;
2586 id
= isl_id_alloc(gen
->ctx
, NULL
, stmt
);
2587 id
= isl_id_set_free_user(id
, &ppcg_kernel_stmt_free
);
2588 return isl_ast_node_set_annotation(node
, id
);
2591 /* Given a schedule of the form
2595 * (with S the first shared_len dimensions of the computed schedule,
2596 * A the array and L the schedule correponding to the generated loops),
2597 * indicating where to copy the array elements that need to be copied,
2598 * construct code for performing the copying.
2600 * "group" is the array reference group that is being copied
2601 * "type" is either "read" or "write"
2602 * private is set if copying needs to be performed to/from registers
2604 * We first construct a mapping to a shifted tile of the array,
2606 * [S -> A] -> T(S,A) (1)
2608 * If private is set, then we also use this mapping as a schedule
2609 * (which is already thread-specific and will be completely unrolled).
2610 * Otherwise, we wrap/tile the range over the threads.
2613 * [S -> A] -> T'(S,A)
2615 * Combined with the given schedule, we have
2617 * [S -> A] -> [L -> T'(S,A)] (2)
2619 * From the shifted tile mapping, we construct a mapping
2621 * [S -> A] -> [A -> T(S,A)]
2623 * and apply it to the schedule (2), obtaining
2625 * [A -> T(S(L),A)] -> [L -> T'(S(L),A)]
2627 * Note that we can project out S because it is uniquely defined by L.
2629 static __isl_give isl_ast_node
*copy_access(struct gpu_gen
*gen
,
2630 __isl_take isl_map
*sched
,
2631 const char *type
, struct gpu_array_ref_group
*group
,
2632 __isl_take isl_ast_build
*build
, int private)
2636 isl_map
*schedule
, *shift
, *map
;
2638 isl_id_list
*iterators
;
2641 shift
= shift_access(group
);
2643 schedule
= isl_map_copy(shift
);
2644 schedule
= isl_map_reset_tuple_id(schedule
, isl_dim_out
);
2646 schedule
= tile_access_schedule(gen
, schedule
);
2648 n
= isl_map_dim(schedule
, isl_dim_out
);
2649 set
= isl_set_universe(isl_ast_build_get_schedule_space(build
));
2650 set
= add_bounded_parameters(set
, gen
->kernel
->block_dim
,
2651 gen
->kernel
->thread_ids
);
2653 schedule
= isl_map_range_product(sched
, schedule
);
2655 space
= isl_space_domain(isl_map_get_space(shift
));
2656 map
= isl_map_range_map(isl_map_universe(isl_space_unwrap(space
)));
2657 map
= isl_map_range_product(map
, shift
);
2659 schedule
= isl_map_apply_domain(schedule
, map
);
2661 schedule
= isl_map_set_tuple_name(schedule
, isl_dim_in
, type
);
2663 build
= isl_ast_build_restrict(build
, set
);
2665 gen
->copy_group
= group
;
2668 space
= isl_space_range(isl_map_get_space(schedule
));
2669 space
= isl_space_range(isl_space_unwrap(space
));
2670 build
= set_unroll(build
, space
, 0);
2672 iterators
= ppcg_scop_generate_names(gen
->prog
->scop
, n
, "c");
2673 build
= isl_ast_build_set_iterators(build
, iterators
);
2674 build
= isl_ast_build_set_at_each_domain(build
, &attach_copy_stmt
, gen
);
2675 tree
= isl_ast_build_node_from_schedule_map(build
,
2676 isl_union_map_from_map(schedule
));
2677 isl_ast_build_free(build
);
2682 /* Return code for reading into or writing from shared memory
2683 * the given array reference group.
2685 * If we are performing a read from global memory to shared memory and
2686 * if the array involved is not a scalar, then we copy
2687 * the entire tile to shared memory. This may result in some extra
2688 * elements getting copied, but it should lead to simpler code
2689 * (which means that fewer registers may be needed) and less divergence.
2691 * Otherwise, we only copy the elements that will be read or have been written
2695 * The input "sched" is of the form.
2699 * with S the first shared_len dimensions of the computed schedule,
2700 * A the array and L the schedule correponding to the generated loops.
2702 * We first drop "type",
2706 * If the above conditions are satisfied, we project out A,
2711 * and then introduce the group tile [S -> T], resulting in
2715 static __isl_give isl_ast_node
*copy_group_shared_accesses(
2716 struct gpu_gen
*gen
, struct gpu_array_ref_group
*group
,
2717 __isl_take isl_map
*sched
, __isl_take isl_ast_build
*build
)
2721 isl_union_map
*access
;
2723 type
= isl_map_get_tuple_name(sched
, isl_dim_in
);
2724 read
= !strcmp(type
, "read");
2726 sched
= isl_map_reset_tuple_id(sched
, isl_dim_in
);
2728 if (read
&& !gpu_array_is_scalar(group
->array
)) {
2732 space
= isl_space_domain(isl_map_get_space(sched
));
2733 space
= isl_space_unwrap(space
);
2734 map
= isl_map_domain_map(isl_map_universe(space
));
2735 sched
= isl_map_apply_domain(sched
, map
);
2737 map
= group_tile(group
);
2738 map
= isl_map_reverse(isl_map_domain_map(map
));
2739 sched
= isl_map_apply_domain(sched
, map
);
2742 return copy_access(gen
, sched
, type
, group
, build
, 0);
2745 /* Return code for reading into or writing from private memory
2746 * the given array reference group.
2748 * Let S be the first shared_len dimensions of the computed schedule,
2749 * D the iteration domains, A the array and L the schedule correponding
2750 * to the generated loops.
2751 * "sched" is of the form
2755 * where type is either "read" or "write".
2756 * We apply the privatization D -> S(t), with t the thread ids,
2757 * to the access relation D -> A to obtain the privatized access relation
2761 * We drop the type from "sched" and intersect with the privatized access
2762 * relation to obtain
2766 static __isl_give isl_ast_node
*copy_group_private_accesses(
2767 struct gpu_gen
*gen
, struct gpu_array_ref_group
*group
,
2768 __isl_take isl_map
*sched
, __isl_take isl_ast_build
*build
)
2772 isl_union_map
*priv
;
2773 isl_union_map
*access
;
2774 isl_map
*access_map
;
2776 type
= isl_map_get_tuple_name(sched
, isl_dim_in
);
2777 read
= !strcmp(type
, "read");
2779 priv
= isl_union_map_from_map(isl_map_copy(gen
->privatization
));
2780 priv
= isl_union_map_apply_range(isl_union_map_copy(gen
->shared_sched
),
2783 access
= gpu_array_ref_group_access_relation(group
, read
, !read
);
2784 access
= isl_union_map_apply_domain(access
, priv
);
2785 access_map
= isl_map_from_union_map(access
);
2787 sched
= isl_map_reset_tuple_id(sched
, isl_dim_in
);
2788 sched
= isl_map_intersect_domain(sched
, isl_map_wrap(access_map
));
2790 return copy_access(gen
, sched
, type
, group
, build
, 1);
2793 /* Return code for reading into or writing from shared or private memory.
2795 * "schedule" is of the form
2799 * with S be the first shared_len dimensions of the computed schedule,
2800 * A the array and L the schedule correponding to the generated loops.
2801 * The array reference group is attached to "type".
2803 static __isl_give isl_ast_node
*create_access_leaf(
2804 struct gpu_gen
*gen
, __isl_take isl_map
*schedule
,
2805 __isl_take isl_ast_build
*build
)
2807 struct gpu_array_ref_group
*group
;
2810 id
= isl_map_get_tuple_id(schedule
, isl_dim_in
);
2811 group
= isl_id_get_user(id
);
2814 if (group
->private_tile
)
2815 return copy_group_private_accesses(gen
, group
, schedule
,
2818 return copy_group_shared_accesses(gen
, group
, schedule
,
2822 /* Create a domain node representing a synchronization.
2824 static __isl_give isl_ast_node
*create_sync_leaf(
2825 struct gpu_gen
*gen
, __isl_take isl_map
*schedule
,
2826 __isl_take isl_ast_build
*build
)
2828 struct ppcg_kernel_stmt
*stmt
;
2834 isl_map_free(schedule
);
2836 stmt
= isl_calloc_type(gen
->ctx
, struct ppcg_kernel_stmt
);
2840 stmt
->type
= ppcg_kernel_sync
;
2842 space
= isl_ast_build_get_schedule_space(build
);
2843 space
= isl_space_from_domain(space
);
2844 space
= isl_space_set_tuple_name(space
, isl_dim_out
, "sync");
2845 expr
= isl_ast_build_call_from_pw_multi_aff(build
,
2846 isl_pw_multi_aff_from_multi_aff(isl_multi_aff_zero(space
)));
2847 node
= isl_ast_node_alloc_user(expr
);
2848 isl_ast_build_free(build
);
2850 id
= isl_id_alloc(gen
->ctx
, NULL
, stmt
);
2851 id
= isl_id_set_free_user(id
, &ppcg_kernel_stmt_free
);
2852 return isl_ast_node_set_annotation(node
, id
);
2855 /* This function is called during the code generation at the point
2856 * where the schedule domain element is completely determined by
2857 * the generated code. The input schedule contains the original
2858 * statements as well as synchronization and copy "statements".
2859 * The latter are scheduled at different points than any of the original
2860 * statements, so they will only arrive here in isolation.
2862 * If the current schedule only refers to a single statement,
2863 * we check if it is a copy or synchronization statement and
2864 * call the appropriate functions.
2865 * Otherwise, we assume we are dealing with the original statements
2866 * and we call create_domain_leaf.
2868 static __isl_give isl_ast_node
*create_kernel_leaf(
2869 __isl_take isl_ast_build
*build
, void *user
)
2871 struct gpu_gen
*gen
= (struct gpu_gen
*) user
;
2873 isl_union_map
*schedule
;
2876 schedule
= isl_ast_build_get_schedule(build
);
2878 if (isl_union_map_n_map(schedule
) != 1)
2879 return create_domain_leaf(schedule
, build
, user
);
2881 map
= isl_map_from_union_map(schedule
);
2882 name
= isl_map_get_tuple_name(map
, isl_dim_in
);
2883 if (!strcmp(name
, "read") || !strcmp(name
, "write"))
2884 return create_access_leaf(gen
, map
, build
);
2885 if (!strcmp(name
, "sync"))
2886 return create_sync_leaf(gen
, map
, build
);
2888 return create_domain_leaf(isl_union_map_from_map(map
), build
, user
);
2891 /* Mark all odd schedule dimensions as "atomic" (when the even dimensions
2892 * have value 0) and all even schedule dimensions as "unroll".
2894 * That is, the options look as follows
2896 * { [0, b, 0, d, ..., 0] -> atomic[i] : exists a : i = 2 a + 1;
2897 * [a, b, c, d, ..., z] -> unroll[i] : exists a : i = 2 a }
2899 * The even positions are used to be able to schedule copying blocks
2900 * and synchronization before or after each level of the shared memory
2901 * tile loops and we want to make sure that code for these is generated
2902 * separately (within each level).
2904 static __isl_give isl_ast_build
*set_atomic_and_unroll(
2905 __isl_take isl_ast_build
*build
,
2906 __isl_take isl_space
*space
, int sched_len
)
2912 isl_local_space
*ls
;
2915 ctx
= isl_ast_build_get_ctx(build
);
2917 space
= isl_space_params(space
);
2918 space
= isl_space_add_dims(space
, isl_dim_set
, sched_len
);
2919 space
= isl_space_from_domain(space
);
2920 space
= isl_space_add_dims(space
, isl_dim_out
, 2);
2921 map
= isl_map_universe(isl_space_copy(space
));
2922 for (i
= 0; i
< sched_len
; i
+= 2)
2923 map
= isl_map_fix_si(map
, isl_dim_in
, i
, 0);
2924 ls
= isl_local_space_from_space(isl_map_get_space(map
));
2925 c
= isl_equality_alloc(ls
);
2926 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, 0, 1);
2927 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, 1, 2);
2928 c
= isl_constraint_set_constant_si(c
, 1);
2929 map
= isl_map_add_constraint(map
, c
);
2930 map
= isl_map_project_out(map
, isl_dim_out
, 1, 1);
2931 map
= isl_map_set_tuple_name(map
, isl_dim_out
, "atomic");
2932 opt
= isl_union_map_from_map(map
);
2934 map
= isl_map_universe(space
);
2935 ls
= isl_local_space_from_space(isl_map_get_space(map
));
2936 c
= isl_equality_alloc(ls
);
2937 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, 0, 1);
2938 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, 1, 2);
2939 map
= isl_map_add_constraint(map
, c
);
2940 map
= isl_map_project_out(map
, isl_dim_out
, 1, 1);
2941 map
= isl_map_set_tuple_name(map
, isl_dim_out
, "unroll");
2942 opt
= isl_union_map_add_map(opt
, map
);
2944 build
= isl_ast_build_set_options(build
, opt
);
2949 /* Return a map that maps a space of dimension gen->shared_len
2950 * to its last dimensions starting at gen->tile_first.
2951 * The range is of dimension
2953 * 2 * (gen->shared_len - gen->tile_first) + 1
2955 * The input dimensions are mapped to the odd dimensions in the output,
2956 * while the even dimensions (except 2*pos) are fixed to 0.
2957 * Output dimension 2*pos (if pos >= 0) is fixed to "val".
2958 * If pos >= 0, then only the pos first dimensions starting at gen->tile_first
2959 * are mapped to the output. The remaining input dimensions are projected
2960 * out and the corresponding output dimensions are fixed to 0.
2962 static __isl_give isl_map
*insert_even(struct gpu_gen
*gen
,
2963 __isl_take isl_space
*space
, int pos
, int val
)
2968 space
= isl_space_set_from_params(space
);
2969 space
= isl_space_add_dims(space
, isl_dim_set
, gen
->shared_len
);
2970 space
= isl_space_map_from_set(space
);
2971 proj
= isl_map_identity(space
);
2972 proj
= isl_map_project_out(proj
, isl_dim_out
, 0, gen
->tile_first
);
2973 n
= gen
->shared_len
- gen
->tile_first
;
2974 for (i
= 0; i
<= n
; ++i
) {
2975 proj
= isl_map_insert_dims(proj
, isl_dim_out
, 2 * i
, 1);
2977 proj
= isl_map_fix_si(proj
, isl_dim_out
, 2 * i
, val
);
2979 proj
= isl_map_fix_si(proj
, isl_dim_out
, 2 * i
, 0);
2985 proj
= isl_map_eliminate(proj
, isl_dim_in
, gen
->tile_first
+ pos
,
2986 gen
->shared_len
- (gen
->tile_first
+ pos
));
2987 for (i
= pos
; i
< n
; ++i
)
2988 proj
= isl_map_fix_si(proj
, isl_dim_out
, 2 * i
+ 1, 0);
2993 /* Given the AST context schedule "schedule" and the mapping from
2994 * domains to the shared tile loops "shared_sched", add a schedule
2995 * for a synchronization operation at position "val" of loop level "pos".
2997 * schedule is of the form
3001 * (with D the iteration domains and L the already generated loops),
3002 * while shared_sched is of the form
3006 * We combine them into
3012 * [s_0,...] -> [0,s_{tile_first},0,..., val, 0, 0, ... 0]
3014 * and use the result as a schedule for "sync".
3016 static __isl_give isl_union_map
*add_sync_schedule(struct gpu_gen
*gen
,
3017 __isl_take isl_union_map
*res
, __isl_keep isl_union_map
*schedule
,
3018 __isl_keep isl_union_map
*shared_sched
, int pos
, int val
)
3021 isl_map
*proj
, *map
;
3023 shared_sched
= isl_union_map_copy(shared_sched
);
3024 schedule
= isl_union_map_copy(schedule
);
3026 space
= isl_union_map_get_space(shared_sched
);
3027 schedule
= isl_union_map_apply_domain(shared_sched
, schedule
);
3028 map
= isl_map_from_union_map(schedule
);
3030 proj
= insert_even(gen
, space
, pos
, val
);
3031 map
= isl_map_apply_range(map
, proj
);
3032 map
= isl_map_from_range(isl_map_wrap(map
));
3033 map
= isl_map_set_tuple_name(map
, isl_dim_in
, "sync");
3035 res
= isl_union_map_add_map(res
, map
);
3040 /* Given a set of wrapped references "ref", return the corresponding
3041 * access relations based on the tagged access relations "tagged".
3043 * The elements of "ref" are of the form
3047 * with D an iteration domains and R a reference.
3048 * The elements of "tagged" are of the form
3054 * Extend "tagged" to include the iteration domain in the range, i.e.,
3056 * [D -> R] -> [D -> A]
3058 * apply the result to "ref" and then unwrap the resulting set
3059 * to obtain relations of the form
3063 static __isl_give isl_union_map
*wrapped_reference_to_access(
3064 __isl_take isl_union_set
*ref
, __isl_take isl_union_map
*tagged
)
3066 isl_union_map
*tag2access
;
3068 tag2access
= isl_union_map_copy(tagged
);
3069 tag2access
= isl_union_map_universe(tag2access
);
3070 tag2access
= isl_union_set_unwrap(isl_union_map_domain(tag2access
));
3071 tag2access
= isl_union_map_domain_map(tag2access
);
3072 tag2access
= isl_union_map_range_product(tag2access
, tagged
);
3074 ref
= isl_union_set_coalesce(ref
);
3075 ref
= isl_union_set_apply(ref
, tag2access
);
3077 return isl_union_set_unwrap(ref
);
3080 /* Given an access relation "access" from "group", remove those reads
3081 * if ("read" is 1) or writes (if "read" is 0) that are only needed to
3082 * communicate data within the same iteration of the last_shared dimension
3085 * If the access is a read then it is either an element of
3087 * live_in union (range flow)
3089 * where live_in and flow may be overapproximations, or
3090 * it reads an uninitialized value (that is not live-in because
3091 * there is an intermediate kill) or it reads a value that was
3092 * written within the same (compound) statement instance.
3093 * If the access is a write then it is either an element of
3095 * live_out union (domain flow)
3097 * or it writes a value that is never read (and is not live-out
3098 * because of an intermediate kill) or only
3099 * within the same (compound) statement instance.
3100 * In both cases, the access relation is also a subset of
3101 * the group access relation.
3103 * The cases where an uninitialized value is read or a value is written
3104 * that is never read or where the dataflow occurs within a statement
3105 * instance are also considered local and may also be removed.
3107 * Essentially, we compute the intersection of "access" with either
3109 * live_in union (range non-local-flow)
3113 * live_out union (domain non-local-flow)
3115 * We first construct a relation "local"
3117 * [[D -> R] -> [D' -> R']]
3119 * of pairs of domain iterations accessing the reference group
3120 * and references in the group that are scheduled to the same iteration
3121 * of the last_shared dimension.
3123 * If this relation does not intersect the dataflow dependences,
3124 * then there is nothing we can possibly remove, unless the dataflow
3125 * dependences themselves only relate a subset of the accesses.
3126 * In particular, the accesses may not be involved in any dataflow
3127 * dependences, either because they are uninitialized reads/dead writes
3128 * or because the dataflow occurs inside a statement instance.
3130 * Since the computation below may break up the access relation
3131 * into smaller pieces, we only perform the intersection with
3132 * the non-local dependent accesses if the local pairs
3133 * intersect the dataflow dependences. Otherwise, we intersect
3134 * with the universe of the non-local dependent accesses.
3135 * This should at least remove accesses from statements that
3136 * do not participate in any dependences.
3138 * In particular, we remove the "local" dataflow dependences from
3139 * the set of all dataflow dependences.
3140 * Note that if the potential dataflow dependences are an overapproximation
3141 * of the actual dataflow dependences, then the result remains an
3142 * overapproximation of the non-local dataflow dependences.
3143 * Copying to/from global memory is only needed for the references
3144 * in the domain/range of the result or for accesses that are live out/in
3145 * for the entire scop.
3147 * We therefore map the domain/range of the "external" relation
3148 * to the corresponding access relation and take the union with
3149 * the live out/in relation.
3151 static __isl_give isl_union_map
*remove_local_accesses(struct gpu_gen
*gen
,
3152 struct gpu_array_ref_group
*group
, __isl_take isl_union_map
*access
,
3156 isl_union_pw_multi_aff
*tagger
;
3157 isl_union_set
*domain
;
3159 isl_union_map
*sched
, *local
, *tagged
, *external
;
3160 isl_union_set
*tag_set
;
3163 if (isl_union_map_is_empty(access
))
3166 tagged
= group_tagged_access_relation(group
);
3168 sched
= isl_union_map_copy(gen
->sched
);
3170 space
= isl_union_map_get_space(sched
);
3171 proj
= projection(space
, gen
->untiled_len
, group
->last_shared
+ 1);
3172 sched
= isl_union_map_apply_range(sched
, isl_union_map_from_map(proj
));
3174 tagger
= isl_union_pw_multi_aff_copy(gen
->prog
->scop
->tagger
);
3175 domain
= isl_union_map_domain(isl_union_map_copy(tagged
));
3176 tagger
= isl_union_pw_multi_aff_intersect_domain(tagger
, domain
);
3177 sched
= isl_union_map_preimage_domain_union_pw_multi_aff(sched
, tagger
);
3179 local
= isl_union_map_apply_range(sched
,
3180 isl_union_map_reverse(isl_union_map_copy(sched
)));
3181 local
= isl_union_map_intersect(local
,
3182 isl_union_map_copy(gen
->prog
->scop
->tagged_dep_flow
));
3184 empty
= isl_union_map_is_empty(local
);
3186 external
= isl_union_map_copy(gen
->prog
->scop
->tagged_dep_flow
);
3187 external
= isl_union_map_intersect_params(external
,
3188 isl_set_copy(gen
->prog
->scop
->context
));
3189 external
= isl_union_map_subtract(external
, local
);
3192 tag_set
= isl_union_map_range(external
);
3193 external
= wrapped_reference_to_access(tag_set
, tagged
);
3194 external
= isl_union_map_union(external
,
3195 isl_union_map_copy(gen
->prog
->scop
->live_in
));
3197 tag_set
= isl_union_map_domain(external
);
3198 external
= wrapped_reference_to_access(tag_set
, tagged
);
3199 external
= isl_union_map_union(external
,
3200 isl_union_map_copy(gen
->prog
->scop
->live_out
));
3204 external
= isl_union_map_free(external
);
3206 external
= isl_union_map_universe(external
);
3208 access
= isl_union_map_intersect(access
, external
);
3213 /* Given the AST context schedule "schedule" and the mapping from
3214 * domains to the shared tile loops "shared_sched", add a schedule
3215 * for copying an array reference group to/from shared/private memory.
3216 * "read" is set if data should be copied from global memory
3217 * to shared/private memory.
3218 * "k" represents the current group
3219 * "s" is the total number of groups
3221 * We schedule an operation before or after the innermost loop
3222 * of "shared_sched" that affects the tile of the array reference group.
3224 * schedule is of the form
3228 * (with D the iteration domains and L the already generated loops),
3229 * while shared_sched is of the form
3233 * We first compute the access relation for the reference group
3237 * and remove from this access relation those reads or writes
3238 * that only needed to communicate data within the same iteration
3239 * of the last_shared dimension of the group.
3240 * We then combine what is left with shared_sched into
3244 * If this results in an empty relation, no copying needs to be performed
3246 * Otherwise, we invert the relation and combine it with "schedule" into
3250 * The actual additional piece of the schedule is obtained from combining
3256 * [s_0,...] -> [0,s_{tile_first},0,..., val, 0, 0, ... 0]
3258 * The position of "val" corresponds to the innermost loop that affects
3259 * the tile and the value indicates where the copying is scheduled
3260 * with respect to the actual kernel code (at value 0).
3261 * Reads are schedule before the code, writes to global memory from
3262 * private memory are scheduled at values 1 to s, writes to global
3263 * memory from shared memory are scheduled at values s + 2 to 2 * s + 1.
3265 * If we are scheduling a read from global memory to shared memory,
3266 * we insert a synchronization before the kernel code (at the innermost
3268 * If we are scheduling a write to global memory, then we add
3269 * a synchronization after all writes (at value 2 *s + 2).
3270 * However, there is no need for a synchronization after the outermost loop.
3271 * A write to global memory from private memory at the innermost level
3272 * does not require a synchronization, because it is covered by
3273 * the synchronization after the kernel inserted by body_schedule.
3275 static __isl_give isl_union_map
*add_group_schedule(struct gpu_gen
*gen
,
3276 __isl_take isl_union_map
*res
, __isl_keep isl_union_map
*schedule
,
3277 __isl_keep isl_union_map
*shared_sched
,
3278 struct gpu_array_ref_group
*group
, int read
, int k
, int s
)
3283 isl_union_map
*access
;
3284 isl_map
*map
, *proj
, *access_map
;
3287 access
= gpu_array_ref_group_access_relation(group
, read
, !read
);
3288 access
= remove_local_accesses(gen
, group
, access
, read
);
3289 access
= isl_union_map_range_product(isl_union_map_copy(shared_sched
),
3292 if (isl_union_map_is_empty(access
)) {
3293 isl_union_map_free(access
);
3297 access
= isl_union_map_reverse(access
);
3298 access
= isl_union_map_apply_range(access
,
3299 isl_union_map_copy(schedule
));
3300 access_map
= isl_map_from_union_map(access
);
3302 space
= isl_space_copy(group
->array
->space
);
3303 space
= isl_space_from_range(space
);
3304 space
= isl_space_add_dims(space
, isl_dim_in
, gen
->shared_len
);
3305 map
= isl_map_domain_map(isl_map_universe(space
));
3307 space
= isl_union_map_get_space(schedule
);
3308 pos
= group
->last_shared
+ 1 - gen
->tile_first
;
3312 else if (group
->private_tile
)
3315 val
= 1 + s
+ 1 + k
;
3316 proj
= insert_even(gen
, space
, pos
, val
);
3317 map
= isl_map_apply_range(map
, proj
);
3319 access_map
= isl_map_range_product(access_map
, map
);
3321 id
= isl_id_alloc(gen
->ctx
, read
? "read" : "write", group
);
3322 access_map
= isl_map_set_tuple_id(access_map
, isl_dim_in
, id
);
3324 res
= isl_union_map_add_map(res
, access_map
);
3326 n
= gen
->shared_len
- gen
->tile_first
;
3328 if (!group
->private_tile
)
3329 res
= add_sync_schedule(gen
, res
, schedule
,
3330 shared_sched
, n
, -1);
3334 if (pos
== n
&& group
->private_tile
)
3336 res
= add_sync_schedule(gen
, res
, schedule
, shared_sched
,
3343 /* Return a schedule for the shared tile loops based on the current
3344 * AST context schedule.
3346 * We create a "shared_sched" that maps the domains to the first
3347 * shared_len dimensions of the computed schedule, project out the
3348 * first tile_first dimensions (as these are already covered by
3349 * the host code) and insert "statement-level" dimensions at even
3350 * positions so that we can schedule copy blocks and synchronization
3351 * before/after each level.
3353 * In particular, copy blocks are inserted inside the innermost
3354 * level that affect the tile. For the copying to global memory,
3355 * those from private memory are scheduled before those from shared
3356 * memory such that synchronization can be inserted between the two
3357 * at the innermost level.
3358 * Synchronization is inserted at the innermost level before the
3359 * actual kernel code if there is any copying from global memory
3360 * to shared memory. It is inserted unconditionally at the innermost
3361 * level after the actual kernel code and the copying to global memory
3362 * from private memory (if any). Finally, it is inserted after
3363 * any copying to global memory, except at the outermost level
3364 * and at the innermost level if there is no copying from shared
3365 * memory. The copying from private memory is covered by the unconditional
3366 * synchronization at the innermost level.
3368 static __isl_give isl_union_map
*body_schedule(struct gpu_gen
*gen
,
3369 __isl_take isl_union_map
*schedule
)
3373 isl_union_map
*shared_sched
;
3374 isl_union_map
*sched
;
3375 isl_map
*proj
, *map
;
3378 shared_sched
= isl_union_map_copy(gen
->tiled_sched
);
3379 proj
= projection(isl_union_map_get_space(shared_sched
),
3380 gen
->tiled_len
, gen
->shared_len
);
3381 shared_sched
= isl_union_map_apply_range(shared_sched
,
3382 isl_union_map_from_map(proj
));
3383 space
= isl_union_map_get_space(shared_sched
);
3384 proj
= insert_even(gen
, space
, -1, 0);
3385 sched
= isl_union_map_apply_range(isl_union_map_copy(shared_sched
),
3386 isl_union_map_from_map(proj
));
3388 res
= isl_union_map_range_product(isl_union_map_copy(schedule
), sched
);
3391 for (i
= 0; i
< gen
->prog
->n_array
; ++i
)
3392 s
+= gen
->prog
->array
[i
].n_group
;
3395 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
3396 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
3398 for (j
= 0; j
< array
->n_group
; ++j
) {
3399 struct gpu_array_ref_group
*group
;
3401 group
= array
->groups
[j
];
3402 if (!group
->private_tile
&& !group
->shared_tile
)
3404 res
= add_group_schedule(gen
, res
, schedule
,
3405 shared_sched
, group
, 0, k
, s
);
3406 res
= add_group_schedule(gen
, res
, schedule
,
3407 shared_sched
, group
, 1, k
, s
);
3412 res
= add_sync_schedule(gen
, res
, schedule
, shared_sched
,
3413 gen
->shared_len
- gen
->tile_first
, 1 + s
);
3415 isl_union_map_free(shared_sched
);
3416 isl_union_map_free(schedule
);
3421 /* Generate code for "kernel" in the given "context".
3423 * We first generate code for the shared tile loops (T1T, T1P and T2)
3424 * in a context that includes the block ids.
3425 * Within each iteration of these loops an additional code generation
3426 * is performed (within create_kernel_leaf) for the rest of the schedule
3427 * in a context that includes the thread ids.
3429 static __isl_give isl_ast_node
*generate_kernel(struct gpu_gen
*gen
,
3430 __isl_keep isl_ast_build
*build
, __isl_keep isl_set
*host_domain
,
3431 __isl_keep isl_multi_pw_aff
*grid_size
)
3435 isl_id_list
*iterators
;
3436 isl_union_map
*schedule
;
3440 schedule
= isl_ast_build_get_schedule(build
);
3442 build
= isl_ast_build_copy(build
);
3443 build
= isl_ast_build_restrict(build
, isl_set_copy(host_domain
));
3444 space
= isl_ast_build_get_schedule_space(build
);
3445 set
= isl_set_universe(isl_space_copy(space
));
3446 set
= add_bounded_parameters_dynamic(set
, grid_size
,
3447 gen
->kernel
->block_ids
);
3448 build
= isl_ast_build_restrict(build
, set
);
3450 schedule
= body_schedule(gen
, schedule
);
3452 sched_len
= 2 * (gen
->shared_len
- gen
->tile_first
) + 1;
3454 build
= set_atomic_and_unroll(build
, space
, sched_len
);
3455 iterators
= ppcg_scop_generate_names(gen
->prog
->scop
, sched_len
, "g");
3456 build
= isl_ast_build_set_iterators(build
, iterators
);
3457 build
= isl_ast_build_set_create_leaf(build
, &create_kernel_leaf
, gen
);
3458 tree
= isl_ast_build_node_from_schedule_map(build
, schedule
);
3459 isl_ast_build_free(build
);
3464 /* Attach "id" to the given node.
3466 static __isl_give isl_ast_node
*attach_id(__isl_take isl_ast_node
*node
,
3467 __isl_keep isl_ast_build
*build
, void *user
)
3471 node
= isl_ast_node_set_annotation(node
, id
);
3476 /* Construct an AST node for performing a kernel launch and attach
3477 * the information about the kernel to that node.
3479 * The kernel AST has been constructed in the context of the range
3480 * of "schedule". In particular, the grid size has been computed
3481 * in the context. We therefore still need to make sure that these
3482 * constraints are expressed in the code. We do this by creating a schedule
3484 * kernel[] -> [S -> []]
3486 * where S is the schedule domain, i.e., the range of "schedule".
3487 * The AST generation will then create a single call surrounded by
3488 * all the condition in "S" that have not been expressed yet.
3490 * The kernel information is attached to this node in attach_id.
3492 static __isl_give isl_ast_node
*construct_launch(
3493 __isl_take isl_ast_build
*build
, __isl_take isl_union_map
*schedule
,
3494 __isl_take
struct ppcg_kernel
*kernel
)
3498 isl_union_set
*domain
;
3503 ctx
= isl_ast_build_get_ctx(build
);
3505 id
= isl_id_alloc(ctx
, NULL
, kernel
);
3506 id
= isl_id_set_free_user(id
, &ppcg_kernel_free_wrap
);
3508 domain
= isl_union_map_range(schedule
);
3509 set
= isl_set_from_union_set(domain
);
3510 map
= isl_map_from_domain(set
);
3511 map
= isl_map_from_range(isl_map_wrap(map
));
3512 map
= isl_map_set_tuple_name(map
, isl_dim_in
, "kernel");
3513 schedule
= isl_union_map_from_map(map
);
3515 build
= isl_ast_build_set_at_each_domain(build
, &attach_id
, id
);
3516 node
= isl_ast_build_node_from_schedule_map(build
, schedule
);
3517 isl_ast_build_free(build
);
3522 /* This function is called for each leaf in the AST of the host code.
3523 * We first specialize the schedule to the site of the leaf, compute
3524 * the size of shared memory and then construct the body of the host code
3525 * and the associated kernel.
3527 * The necessary information for printing the kernel launch is
3528 * stored in a struct ppcg_kernel and attached to the leaf node
3529 * created to represent the launch.
3531 static __isl_give isl_ast_node
*create_host_leaf(
3532 __isl_take isl_ast_build
*build
, void *user
)
3534 struct gpu_gen
*gen
= (struct gpu_gen
*) user
;
3537 struct ppcg_kernel
*kernel
;
3538 isl_set
*host_domain
;
3539 isl_union_map
*schedule
;
3540 isl_union_map
*local_sched
;
3541 isl_union_map
*access
;
3542 isl_union_set
*domain
;
3545 schedule
= isl_ast_build_get_schedule(build
);
3547 isl_union_map_foreach_map(schedule
, &extract_tile_len
, gen
);
3550 domain
= isl_union_map_domain(isl_union_map_copy(schedule
));
3552 local_sched
= isl_union_map_copy(gen
->sched
);
3553 local_sched
= isl_union_map_intersect_domain(local_sched
, domain
);
3554 access
= isl_union_map_union(isl_union_map_copy(gen
->prog
->read
),
3555 isl_union_map_copy(gen
->prog
->may_write
));
3556 access
= isl_union_map_apply_domain(access
,
3557 isl_union_map_copy(local_sched
));
3559 kernel
= gen
->kernel
= isl_calloc_type(gen
->ctx
, struct ppcg_kernel
);
3560 kernel
= ppcg_kernel_create_local_arrays(kernel
, gen
->prog
);
3563 kernel
->block_ids
= ppcg_scop_generate_names(gen
->prog
->scop
,
3565 kernel
->thread_ids
= ppcg_scop_generate_names(gen
->prog
->scop
,
3568 gen
->tiled_sched
= tile_schedule(gen
, local_sched
);
3569 gen
->tiled_sched
= parametrize_tiled_schedule(gen
, gen
->tiled_sched
);
3570 gen
->tiled_sched
= scale_tile_loops(gen
, gen
->tiled_sched
);
3572 gen
->local_sched
= isl_union_map_copy(gen
->tiled_sched
);
3573 gen
->local_sched
= thread_tile_schedule(gen
, gen
->local_sched
);
3574 gen
->local_sched
= scale_thread_tile_loops(gen
, gen
->local_sched
);
3576 kernel
->ctx
= gen
->ctx
;
3577 kernel
->options
= gen
->options
;
3578 kernel
->id
= gen
->kernel_id
++;
3579 kernel
->context
= isl_union_map_params(isl_union_map_copy(schedule
));
3580 kernel
->grid_size
= extract_grid_size(gen
, kernel
);
3581 extract_block_size(gen
, kernel
);
3582 kernel
->arrays
= isl_union_map_range(access
);
3583 kernel
->arrays
= isl_union_set_apply(kernel
->arrays
,
3584 isl_union_map_copy(gen
->prog
->to_outer
));
3585 kernel
->space
= isl_ast_build_get_schedule_space(build
);
3587 compute_shared_sched(gen
);
3588 gen
->privatization
= compute_privatization(gen
);
3589 if (gpu_group_references(gen
) < 0)
3590 schedule
= isl_union_map_free(schedule
);
3591 host_domain
= isl_set_from_union_set(isl_union_map_range(
3592 isl_union_map_copy(schedule
)));
3593 localize_bounds(gen
, kernel
, host_domain
);
3595 gen
->local_sched
= interchange_for_unroll(gen
, gen
->local_sched
);
3596 check_shared_memory_bound(gen
);
3597 compute_group_tilings(gen
);
3599 kernel
->tree
= generate_kernel(gen
, build
, host_domain
,
3601 create_kernel_vars(gen
, kernel
);
3603 free_local_array_info(gen
);
3604 isl_map_free(gen
->privatization
);
3605 isl_union_map_free(gen
->local_sched
);
3606 isl_union_map_free(gen
->tiled_sched
);
3607 isl_union_map_free(gen
->shared_sched
);
3608 isl_union_map_free(gen
->shared_proj
);
3609 isl_set_free(host_domain
);
3610 free(gen
->tile_size
);
3612 node
= construct_launch(build
, schedule
, kernel
);
3616 isl_union_map_free(schedule
);
3620 /* Use isl to generate code for the outer gen->tile_first loops
3621 * of the global schedule in gen->sched, resulting in the host code.
3622 * Within each iteration of this partial schedule, i.e., for each kernel
3623 * launch, create_host_leaf takes care of generating the kernel code.
3625 static __isl_give isl_ast_node
*generate_host_code(struct gpu_gen
*gen
)
3627 isl_ast_build
*build
;
3629 isl_union_map
*sched
;
3631 isl_id_list
*iterators
;
3633 sched
= isl_union_map_copy(gen
->sched
);
3634 proj
= projection(isl_union_map_get_space(sched
),
3635 gen
->untiled_len
, gen
->tile_first
);
3636 sched
= isl_union_map_apply_range(sched
, isl_union_map_from_map(proj
));
3638 isl_options_set_ast_build_group_coscheduled(gen
->ctx
, 1);
3639 build
= isl_ast_build_from_context(isl_set_copy(gen
->prog
->context
));
3640 iterators
= ppcg_scop_generate_names(gen
->prog
->scop
,
3641 gen
->tile_first
, "h");
3642 build
= isl_ast_build_set_iterators(build
, iterators
);
3643 build
= isl_ast_build_set_create_leaf(build
, &create_host_leaf
, gen
);
3644 tree
= isl_ast_build_node_from_schedule_map(build
, sched
);
3645 isl_ast_build_free(build
);
3650 __isl_give isl_union_map
*extract_sizes_from_str(isl_ctx
*ctx
, const char *str
)
3654 return isl_union_map_read_from_str(ctx
, str
);
3657 /* Information about the outermost tilable bands in the forest of bands.
3659 * tile_len and n_parallel are only sets on band_info structures
3660 * that correspond to outermost bands. For other bands (in particular,
3661 * ancestors of the outermost bands), n_parallal is set to 0.
3663 * prefix is the (padded) schedule leading up to the outermost tilable bands.
3665 * tile_first is the number of schedule dimensions in prefix.
3667 * suffix is the schedule of the outermost tilable bands and their descendants.
3670 struct gpu_gen
*gen
;
3674 isl_union_map
*prefix
;
3675 isl_union_map
*suffix
;
3678 /* Set tile_len and n_parallel of the statement to that of
3679 * their outermost band, recorded in the band_info.
3681 static int set_stmt_tile_len(__isl_take isl_map
*map
, void *user
)
3683 struct band_info
*info
= user
;
3684 struct gpu_stmt
*stmt
;
3687 id
= isl_map_get_tuple_id(map
, isl_dim_in
);
3688 stmt
= find_stmt(info
->gen
->prog
, id
);
3691 stmt
->tile_len
= info
->tile_len
;
3692 stmt
->n_parallel
= info
->n_parallel
;
3699 static void select_outer_band(struct gpu_gen
*gen
,
3700 __isl_take isl_schedule_node
*node
, int pos
, struct band_info
*info
);
3702 /* Check if this band node is tilable and has any parallel loops. If so,
3703 * take it as the outermost tilable band. If not, continue looking for the
3704 * outermost tilable band in the children of the current band.
3706 static void band_select_outer_band(struct gpu_gen
*gen
,
3707 __isl_take isl_schedule_node
*node
, int pos
, struct band_info
*info
)
3709 int n
= isl_schedule_node_band_n_member(node
);
3712 for (n_parallel
= 0; n_parallel
< n
; ++n_parallel
)
3713 if (!isl_schedule_node_band_member_get_coincident(node
,
3717 if (!isl_schedule_node_band_get_permutable(node
) || n_parallel
== 0) {
3718 node
= isl_schedule_node_child(node
, 0);
3719 select_outer_band(gen
, node
, pos
+ n
, info
);
3723 info
->n_parallel
= n_parallel
;
3724 gen
->any_parallelism
= 1;
3726 info
->tile_first
= pos
;
3728 info
->prefix
= isl_schedule_node_get_prefix_schedule_union_map(node
);
3729 info
->suffix
= isl_schedule_node_get_subtree_schedule_union_map(node
);
3730 isl_union_map_foreach_map(info
->prefix
, &set_stmt_tile_len
, info
);
3732 isl_schedule_node_free(node
);
3735 /* Comparison function that returns a non-zero value for band_infos
3736 * with different tile_len fields or different n_parallel fields.
3738 static int cmp_band(const void *p1
, const void *p2
)
3740 const struct band_info
*info1
= p1
;
3741 const struct band_info
*info2
= p2
;
3743 if (info1
->tile_len
!= info2
->tile_len
)
3744 return info1
->tile_len
- info2
->tile_len
;
3746 return info1
->n_parallel
- info2
->n_parallel
;
3749 /* Extend "umap" with coordinates with fixed value "val"
3750 * to a total length of "dst_len", assuming the original dimension is "src_len".
3752 static __isl_give isl_union_map
*extend_range(
3753 __isl_take isl_union_map
*umap
, int src_len
, int dst_len
, int val
)
3759 dim
= isl_union_map_get_space(umap
);
3760 map
= isl_map_reverse(projection(dim
, dst_len
, src_len
));
3761 for (i
= src_len
; i
< dst_len
; ++i
)
3762 map
= isl_map_fix_si(map
, isl_dim_out
, i
, val
);
3764 umap
= isl_union_map_apply_range(umap
, isl_union_map_from_map(map
));
3769 /* Insert a new dimension at position "pos" in the range of "umap"
3770 * with fixed value "val", assuming the original dimension of the range
3771 * of "umap" is "src_len".
3773 static __isl_give isl_union_map
*insert_range(__isl_take isl_union_map
*umap
,
3774 int src_len
, int pos
, int val
)
3779 space
= isl_union_map_get_space(umap
);
3780 map
= project_out(space
, src_len
+ 1, pos
, 1);
3781 map
= isl_map_reverse(map
);
3782 map
= isl_map_fix_si(map
, isl_dim_out
, pos
, val
);
3784 umap
= isl_union_map_apply_range(umap
, isl_union_map_from_map(map
));
3789 /* Group bands with the same values for tile_len and n_parallel.
3790 * The prefix schedule is then extended with a fixed coordinate that
3791 * is different for each such group.
3792 * Note that the actual values for this coordinate are not important.
3793 * The bands have already been effectively separated at a higher level
3794 * or they are independent and may be executed in parallel.
3795 * The list of band_info has been sorted before this functions is called.
3797 static void separate_bands(struct band_info
*info
, int n
)
3802 for (i
= 0; i
< n
; ++i
) {
3803 int l
= info
[i
].tile_first
;
3806 (info
[i
].tile_len
!= info
[i
- 1].tile_len
||
3807 info
[i
].n_parallel
!= info
[i
- 1].n_parallel
))
3810 info
[i
].prefix
= extend_range(info
[i
].prefix
,
3812 info
[i
].tile_first
= l
+ 1;
3816 /* Select the outermost bands in the elements of the sequence or set
3817 * node "node", align their prefix schedules. Separate all bands
3818 * if "serialize" is set and otherwise separate bands with different values
3819 * for tile_len and/or n_parallel. Finally, combine the resulting
3820 * prefix and suffix schedules into a single pair of prefix and
3821 * suffix schedules for the entire list.
3823 static void list_select_outer_band(struct gpu_gen
*gen
,
3824 __isl_take isl_schedule_node
*node
, int pos
,
3825 struct band_info
*list_info
, int serialize
)
3828 int n
= isl_schedule_node_n_children(node
);
3829 isl_ctx
*ctx
= isl_schedule_node_get_ctx(node
);
3830 struct band_info
*info
;
3832 isl_union_map
*prefix
;
3833 isl_union_map
*suffix
;
3836 info
= isl_calloc_array(ctx
, struct band_info
, n
);
3840 for (i
= 0; i
< n
; ++i
) {
3841 isl_schedule_node
*child
;
3842 child
= isl_schedule_node_get_child(node
, i
);
3843 select_outer_band(gen
, child
, pos
, &info
[i
]);
3844 if (info
[i
].tile_first
> max_tile_first
)
3845 max_tile_first
= info
[i
].tile_first
;
3848 for (i
= 0; i
< n
; ++i
) {
3849 if (info
[i
].tile_first
== max_tile_first
)
3851 info
[i
].prefix
= extend_range(info
[i
].prefix
,
3852 info
[i
].tile_first
, max_tile_first
, 0);
3853 info
[i
].tile_first
= max_tile_first
;
3857 for (i
= 0; i
< n
; ++i
) {
3858 int l
= info
[i
].tile_first
;
3859 info
[i
].prefix
= insert_range(info
[i
].prefix
, l
,
3861 info
[i
].tile_first
= l
+ 1;
3864 qsort(info
, n
, sizeof(struct band_info
), &cmp_band
);
3866 for (i
= 0; i
< n
- 1; ++i
)
3867 if (info
[i
].tile_len
!= info
[i
+ 1].tile_len
||
3868 info
[i
].n_parallel
!= info
[i
+ 1].n_parallel
)
3872 separate_bands(info
, n
);
3875 prefix
= info
[0].prefix
;
3876 suffix
= info
[0].suffix
;
3878 for (i
= 1; i
< n
; ++i
) {
3879 prefix
= isl_union_map_union(prefix
, info
[i
].prefix
);
3880 suffix
= isl_union_map_union(suffix
, info
[i
].suffix
);
3883 list_info
->tile_first
= info
[0].tile_first
;
3884 list_info
->tile_len
= -1;
3885 list_info
->prefix
= prefix
;
3886 list_info
->suffix
= suffix
;
3888 isl_schedule_node_free(node
);
3892 /* Select the outermost bands in the elements of the set node "node".
3893 * If the schedule_separate_components is set, then separate all bands.
3895 static void set_select_outer_band(struct gpu_gen
*gen
,
3896 __isl_take isl_schedule_node
*node
, int pos
,
3897 struct band_info
*list_info
)
3899 isl_ctx
*ctx
= isl_schedule_node_get_ctx(node
);
3902 serialize
= isl_options_get_schedule_separate_components(ctx
);
3903 list_select_outer_band(gen
, node
, pos
, list_info
, serialize
);
3906 /* Select the outermost bands in the elements of the sequence node "node",
3907 * separating all bands.
3909 static void sequence_select_outer_band(struct gpu_gen
*gen
,
3910 __isl_take isl_schedule_node
*node
, int pos
,
3911 struct band_info
*list_info
)
3913 list_select_outer_band(gen
, node
, pos
, list_info
, 1);
3916 /* If we reach a leaf node, then we have not found any outer tilable
3917 * band with parallel loops, so consider the leaf node as the outermost
3920 static void leaf_select_outer_band(struct gpu_gen
*gen
,
3921 __isl_take isl_schedule_node
*node
, int pos
, struct band_info
*info
)
3924 info
->tile_first
= pos
;
3926 info
->prefix
= isl_schedule_node_get_prefix_schedule_union_map(node
);
3927 info
->suffix
= isl_schedule_node_get_subtree_schedule_union_map(node
);
3928 isl_union_map_foreach_map(info
->prefix
, &set_stmt_tile_len
, info
);
3930 isl_schedule_node_free(node
);
3933 /* Select the outermost tilable band in the subtree that "node" points to.
3935 static void select_outer_band(struct gpu_gen
*gen
,
3936 __isl_take isl_schedule_node
*node
, int pos
, struct band_info
*info
)
3938 enum isl_schedule_node_type type
;
3940 type
= isl_schedule_node_get_type(node
);
3942 case isl_schedule_node_domain
:
3943 case isl_schedule_node_filter
:
3944 node
= isl_schedule_node_child(node
, 0);
3945 select_outer_band(gen
, node
, pos
, info
);
3947 case isl_schedule_node_leaf
:
3948 leaf_select_outer_band(gen
, node
, pos
, info
);
3950 case isl_schedule_node_band
:
3951 band_select_outer_band(gen
, node
, pos
, info
);
3953 case isl_schedule_node_set
:
3954 set_select_outer_band(gen
, node
, pos
, info
);
3956 case isl_schedule_node_sequence
:
3957 sequence_select_outer_band(gen
, node
, pos
, info
);
3960 isl_die(isl_schedule_node_get_ctx(node
),
3961 isl_error_unsupported
, "unhandled schedule node type",
3963 case isl_schedule_node_error
:
3964 info
->prefix
= NULL
;
3965 info
->suffix
= NULL
;
3969 isl_schedule_node_free(node
);
3972 /* Select the outermost tilable band that (by construction)
3973 * has at least one parallel loop.
3974 * The starting position of the aligned band is stored in the pair
3976 * The sizes and number of parallel loops may be different in different
3977 * parts of the band forest and are therefore stored in the gpu_stmts.
3979 * Return the complete schedule, with the tilable bands aligned
3980 * at gen->tile_first and padded with zero, if needed.
3982 static __isl_give isl_union_map
*select_outer_tilable_band(struct gpu_gen
*gen
,
3983 __isl_keep isl_schedule
*schedule
)
3985 isl_schedule_node
*node
;
3986 struct band_info info
;
3988 gen
->n_parallel
= 0;
3991 node
= isl_schedule_get_root(schedule
);
3992 select_outer_band(gen
, node
, 0, &info
);
3994 gen
->tile_first
= info
.tile_first
;
3995 info
.suffix
= align_range(info
.suffix
);
3997 return isl_union_map_flat_range_product(info
.prefix
, info
.suffix
);
4000 /* Set gen->untiled_len to the number of scheduling dimensions
4001 * for the schedule of the first domain.
4002 * We assume here that this number is the same for all domains.
4004 static int set_untiled_len(__isl_take isl_map
*map
, void *user
)
4006 unsigned *untiled_len
= user
;
4008 *untiled_len
= isl_map_dim(map
, isl_dim_out
);
4014 /* Compute an appropriate schedule based on the accesses in
4015 * gen->read and gen->write.
4017 * We use the dependences in gen->prog->scop to compute
4018 * a schedule that has a parallel loop in each tilable band.
4019 * Finally, we select the outermost tilable band.
4021 * If live range reordering is allowed, then we need to make sure
4022 * that live ranges on arrays are not run in parallel since doing
4023 * so would require array expansion. We therefore add the array
4024 * order dependences to the coincidence dependences. Non-zero array
4025 * order dependences will then prevent a schedule dimension from being
4026 * considered parallel.
4027 * Live ranges derived from scalars are allowed to be run in parallel
4028 * since we force the scalars to be mapped to private memory in
4029 * check_scalar_live_ranges.
4030 * If live range reordering is allowed, then the false dependences
4031 * are not added to the validity constraints as that would prevent
4032 * reordering. Instead, the external false dependences that enforce that reads
4033 * from potentially live-in data precede any later write and
4034 * that writes of potentially live-out data follow any other earlier write
4035 * are added to the validity and the coincidence constraints.
4036 * The false dependences are still added to the proximity constraints
4037 * for consistency with the case where live range reordering is not allowed.
4038 * The coincidence constraints then consist of flow dependences,
4039 * external false dependences and array order dependences.
4040 * The independences can be filtered out from the first two sets.
4041 * They have already been filtered out from the array order dependences
4042 * on a per array basis in collect_order_dependences.
4043 * There is no need for a per array handling of the other two sets
4044 * as there should be no flow or external false dependence on local
4045 * variables that can be filtered out.
4047 static void compute_schedule(struct gpu_gen
*gen
)
4049 isl_union_set
*domain
;
4050 isl_union_map
*dep_raw
, *dep
;
4051 isl_union_map
*validity
, *proximity
, *coincidence
;
4052 isl_union_map
*sched
;
4053 isl_schedule_constraints
*sc
;
4054 isl_schedule
*schedule
;
4056 domain
= isl_union_set_copy(gen
->prog
->scop
->domain
);
4057 sc
= isl_schedule_constraints_on_domain(isl_union_set_copy(domain
));
4058 sc
= isl_schedule_constraints_set_context(sc
,
4059 isl_set_copy(gen
->prog
->scop
->context
));
4060 if (gen
->options
->live_range_reordering
) {
4061 sc
= isl_schedule_constraints_set_conditional_validity(sc
,
4062 isl_union_map_copy(gen
->prog
->scop
->tagged_dep_flow
),
4063 isl_union_map_copy(gen
->prog
->scop
->tagged_dep_order
));
4064 proximity
= isl_union_map_copy(gen
->prog
->scop
->dep_flow
);
4065 validity
= isl_union_map_copy(proximity
);
4066 validity
= isl_union_map_union(validity
,
4067 isl_union_map_copy(gen
->prog
->scop
->dep_external
));
4068 proximity
= isl_union_map_union(proximity
,
4069 isl_union_map_copy(gen
->prog
->scop
->dep_false
));
4070 coincidence
= isl_union_map_copy(validity
);
4071 coincidence
= isl_union_map_subtract(coincidence
,
4072 isl_union_map_copy(gen
->prog
->scop
->independence
));
4073 coincidence
= isl_union_map_union(coincidence
,
4074 isl_union_map_copy(gen
->prog
->array_order
));
4076 dep_raw
= isl_union_map_copy(gen
->prog
->scop
->dep_flow
);
4077 dep
= isl_union_map_copy(gen
->prog
->scop
->dep_false
);
4078 dep
= isl_union_map_union(dep
, dep_raw
);
4079 dep
= isl_union_map_coalesce(dep
);
4080 proximity
= isl_union_map_copy(dep
);
4081 coincidence
= isl_union_map_copy(dep
);
4084 sc
= isl_schedule_constraints_set_validity(sc
, validity
);
4085 sc
= isl_schedule_constraints_set_coincidence(sc
, coincidence
);
4086 sc
= isl_schedule_constraints_set_proximity(sc
, proximity
);
4088 if (gen
->options
->debug
->dump_schedule_constraints
)
4089 isl_schedule_constraints_dump(sc
);
4090 schedule
= isl_schedule_constraints_compute_schedule(sc
);
4091 if (gen
->options
->debug
->dump_schedule
)
4092 isl_schedule_dump(schedule
);
4094 sched
= select_outer_tilable_band(gen
, schedule
);
4096 isl_union_map_foreach_map(sched
, &set_untiled_len
, &gen
->untiled_len
);
4097 sched
= isl_union_map_intersect_domain(sched
, domain
);
4100 isl_schedule_free(schedule
);
4103 /* Compute the sets of outer array elements that need to be copied in and out.
4105 * In particular, for each array that is possibly written anywhere in
4106 * gen->prog and that is visible outside the corresponding scop,
4107 * we copy out its entire extent.
4109 * Any array elements that is read without first being written needs
4110 * to be copied in. Furthermore, if there are any array elements that
4111 * are copied out, but that may not be written inside gen->prog, then
4112 * they also need to be copied in to ensure that the value after execution
4113 * is the same as the value before execution, at least for those array
4114 * elements that may have their values preserved by the scop.
4115 * In case the array elements are structures, we need to take into
4116 * account that all members of the structures need to be written
4117 * by gen->prog before we can avoid copying the data structure in.
4119 * While computing the set of array elements that are copied out but
4120 * not necessarily written, we intersect both sets with the context.
4121 * This helps in those cases where the arrays are declared with a fixed size,
4122 * while the accesses are parametric and the context assigns a fixed value
4123 * to the parameters.
4125 * If an element from a local array is read without first being written,
4126 * then there is no point in copying it in since it cannot have been
4127 * written prior to the scop. Warn about the uninitialized read instead.
4129 static void compute_copy_in_and_out(struct gpu_gen
*gen
)
4132 isl_union_set
*local
;
4133 isl_union_set
*may_write
, *must_write
;
4134 isl_union_set
*copy_in
, *copy_out
;
4135 isl_union_set
*not_written
;
4136 isl_union_map
*uninitialized
;
4137 isl_union_map
*local_uninitialized
;
4139 must_write
= isl_union_map_range(
4140 isl_union_map_copy(gen
->prog
->must_write
));
4141 must_write
= isl_union_set_intersect_params(must_write
,
4142 isl_set_copy(gen
->prog
->context
));
4143 may_write
= isl_union_map_range(
4144 isl_union_map_copy(gen
->prog
->may_write
));
4145 may_write
= isl_union_set_intersect_params(may_write
,
4146 isl_set_copy(gen
->prog
->context
));
4147 may_write
= isl_union_set_universe(may_write
);
4148 may_write
= isl_union_set_apply(may_write
,
4149 isl_union_map_copy(gen
->prog
->to_outer
));
4150 copy_out
= isl_union_set_empty(isl_union_set_get_space(may_write
));
4151 local
= isl_union_set_copy(copy_out
);
4153 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
4158 space
= isl_space_copy(gen
->prog
->array
[i
].space
);
4160 if (gen
->prog
->array
[i
].local
) {
4163 set
= isl_set_universe(space
);
4164 local
= isl_union_set_add_set(local
, set
);
4168 write_i
= isl_union_set_extract_set(may_write
, space
);
4169 empty
= isl_set_plain_is_empty(write_i
);
4170 isl_set_free(write_i
);
4174 write_i
= isl_set_copy(gen
->prog
->array
[i
].extent
);
4175 copy_out
= isl_union_set_add_set(copy_out
, write_i
);
4177 isl_union_set_free(may_write
);
4179 copy_out
= isl_union_set_intersect_params(copy_out
,
4180 isl_set_copy(gen
->prog
->context
));
4182 gen
->prog
->copy_out
= isl_union_set_copy(copy_out
);
4184 copy_out
= isl_union_set_apply(copy_out
,
4185 isl_union_map_copy(gen
->prog
->to_inner
));
4186 copy_out
= isl_union_set_intersect(copy_out
,
4187 isl_union_set_copy(gen
->prog
->may_persist
));
4188 not_written
= isl_union_set_subtract(copy_out
, must_write
);
4190 uninitialized
= isl_union_map_copy(gen
->prog
->scop
->live_in
);
4191 local_uninitialized
= isl_union_map_copy(uninitialized
);
4193 local
= isl_union_set_apply(local
,
4194 isl_union_map_copy(gen
->prog
->to_inner
));
4195 local_uninitialized
= isl_union_map_intersect_range(local_uninitialized
,
4197 if (!isl_union_map_is_empty(local_uninitialized
)) {
4199 "possibly uninitialized reads (not copied in):\n");
4200 isl_union_map_dump(local_uninitialized
);
4202 uninitialized
= isl_union_map_subtract(uninitialized
,
4203 local_uninitialized
);
4204 copy_in
= isl_union_map_range(uninitialized
);
4205 copy_in
= isl_union_set_union(copy_in
, not_written
);
4206 copy_in
= isl_union_set_apply(copy_in
,
4207 isl_union_map_copy(gen
->prog
->to_outer
));
4209 gen
->prog
->copy_in
= copy_in
;
4212 /* Internal data structure for extract_access.
4213 * "next_access" points to the end of a linked list that is extended
4214 * by extract_access.
4215 * "single_expression" is set if the access expressions belong to
4216 * an expression statement (i.e., a statement without internal control).
4217 * "any_to_outer" maps all intermediate arrays to their outer arrays.
4219 struct ppcg_extract_access_data
{
4220 struct gpu_stmt_access
**next_access
;
4221 int single_expression
;
4222 isl_union_map
*any_to_outer
;
4225 /* Given a tagged access relation to a single array "tagged", extract it
4226 * as a map, taking into account that the input may be empty.
4227 * If the access relation is empty, then it does not contain
4228 * any space information, so we try to recover it from the index
4230 * The space of the index expression is of the form I -> A,
4231 * with I the statement instances and A the array, or [I -> F] -> A,
4232 * with F the filters corresponding to arguments.
4233 * We first drop F, if present, obtaining I -> A.
4234 * Then we construct I -> R, with R the reference tag,
4235 * combine the two into I -> [R -> A] and uncurry to obtain
4236 * the final result [I -> R] -> A.
4237 * Note that the index expression may have a lower dimension
4238 * than that of the array, but this dimension is not used
4239 * if the access relation is empty.
4241 static __isl_give isl_map
*extract_single_tagged_access(
4242 __isl_take isl_union_map
*tagged
, __isl_keep pet_expr
*expr
)
4246 isl_space
*space
, *space2
;
4247 isl_multi_pw_aff
*index
;
4249 empty
= isl_union_map_is_empty(tagged
);
4253 return isl_map_from_union_map(tagged
);
4254 isl_union_map_free(tagged
);
4256 index
= pet_expr_access_get_index(expr
);
4257 space
= isl_multi_pw_aff_get_space(index
);
4258 isl_multi_pw_aff_free(index
);
4259 if (isl_space_domain_is_wrapping(space
))
4260 space
= isl_space_domain_factor_domain(space
);
4261 space2
= isl_space_copy(space
);
4262 space2
= isl_space_from_domain(isl_space_domain(space
));
4263 id
= pet_expr_access_get_ref_id(expr
);
4264 space2
= isl_space_set_tuple_id(space2
, isl_dim_out
, id
);
4265 space
= isl_space_range_product(space2
, space
);
4266 space
= isl_space_uncurry(space
);
4268 return isl_map_empty(space
);
4270 isl_union_map_free(tagged
);
4274 /* Extract a gpu_stmt_access from "expr", append it to the list
4275 * that ends in *data->next_access and update the end of the list.
4276 * If the access expression performs a write, then it is considered
4277 * exact only if it appears in a single expression statement and
4278 * if its may access relation is equal to its must access relation.
4280 * The combined set of may accesses may be union if member accesses
4281 * are involved, but the entire set is derived from a single reference and
4282 * therefore from a single index expression. These accesses therefore
4283 * all map to the same outer array.
4285 static int extract_access(__isl_keep pet_expr
*expr
, void *user
)
4287 struct ppcg_extract_access_data
*data
= user
;
4288 isl_union_map
*tagged
;
4289 struct gpu_stmt_access
*access
;
4290 isl_ctx
*ctx
= pet_expr_get_ctx(expr
);
4291 isl_multi_pw_aff
*index
;
4293 access
= isl_alloc_type(ctx
, struct gpu_stmt_access
);
4295 access
->next
= NULL
;
4296 access
->read
= pet_expr_access_is_read(expr
);
4297 access
->write
= pet_expr_access_is_write(expr
);
4298 tagged
= pet_expr_access_get_tagged_may_read(expr
);
4299 tagged
= isl_union_map_union(tagged
,
4300 pet_expr_access_get_tagged_may_write(expr
));
4301 tagged
= isl_union_map_apply_range(tagged
,
4302 isl_union_map_copy(data
->any_to_outer
));
4303 if (!access
->write
) {
4304 access
->exact_write
= 1;
4305 } else if (!data
->single_expression
) {
4306 access
->exact_write
= 0;
4308 isl_union_map
*must
, *may
;
4309 may
= isl_union_map_copy(tagged
);
4310 may
= isl_union_map_domain_factor_domain(may
);
4311 must
= pet_expr_access_get_must_write(expr
);
4312 access
->exact_write
= isl_union_map_is_equal(must
, may
);
4313 isl_union_map_free(must
);
4314 isl_union_map_free(may
);
4316 index
= pet_expr_access_get_index(expr
);
4317 access
->n_index
= isl_multi_pw_aff_dim(index
, isl_dim_out
);
4318 isl_multi_pw_aff_free(index
);
4319 access
->ref_id
= pet_expr_access_get_ref_id(expr
);
4321 access
->tagged_access
= extract_single_tagged_access(tagged
, expr
);
4322 access
->access
= isl_map_copy(access
->tagged_access
);
4323 access
->access
= isl_map_domain_factor_domain(access
->access
);
4325 *data
->next_access
= access
;
4326 data
->next_access
= &(*data
->next_access
)->next
;
4328 if (!access
->access
)
4334 /* Construct a linked list of gpu_stmt_access objects,
4335 * one for each access expression in the statement body.
4336 * "any_to_outer" maps all intermediate arrays to their outer arrays.
4338 static int pet_stmt_extract_accesses(struct gpu_stmt
*stmt
,
4339 __isl_keep isl_union_map
*any_to_outer
)
4341 struct ppcg_extract_access_data data
;
4343 stmt
->accesses
= NULL
;
4344 data
.next_access
= &stmt
->accesses
;
4345 data
.single_expression
=
4346 pet_tree_get_type(stmt
->stmt
->body
) == pet_tree_expr
;
4347 data
.any_to_outer
= any_to_outer
;
4348 return pet_tree_foreach_access_expr(stmt
->stmt
->body
,
4349 &extract_access
, &data
);
4352 /* Return an array of gpu_stmt representing the statements in "scop".
4354 static struct gpu_stmt
*extract_stmts(isl_ctx
*ctx
, struct ppcg_scop
*scop
,
4355 __isl_keep isl_set
*context
, __isl_keep isl_union_map
*any_to_outer
)
4358 struct gpu_stmt
*stmts
;
4360 stmts
= isl_calloc_array(ctx
, struct gpu_stmt
, scop
->pet
->n_stmt
);
4364 for (i
= 0; i
< scop
->pet
->n_stmt
; ++i
) {
4365 struct gpu_stmt
*s
= &stmts
[i
];
4367 s
->id
= isl_set_get_tuple_id(scop
->pet
->stmts
[i
]->domain
);
4368 s
->stmt
= scop
->pet
->stmts
[i
];
4369 if (pet_stmt_extract_accesses(s
, any_to_outer
) < 0)
4370 return free_stmts(stmts
, i
+ 1);
4376 /* Callback for ppcg_print_guarded that calls the callback for generate_gpu.
4378 static __isl_give isl_printer
*print_gpu(__isl_take isl_printer
*p
, void *user
)
4380 struct gpu_gen
*gen
= user
;
4382 return gen
->print(p
, gen
->prog
, gen
->tree
, &gen
->types
,
4386 /* Generate CUDA code for "scop" and print it to "p".
4387 * After generating an AST for the transformed scop as explained below,
4388 * we call "gen->print" to print the AST in the desired output format
4391 * If it turns out that it does not make sense to generate GPU code,
4392 * then we generate CPU code instead.
4394 * The GPU code is generated in a context where at least one
4395 * statement instance is executed. The corresponding guard (if any) is printed
4396 * around the entire generated GPU code, except for the declaration
4397 * of the arrays that are visible outside of the scop and that therefore
4398 * cannot be declared inside the body of any possible guard.
4400 * We first compute a schedule that respects the dependences
4401 * of the original program and select the outermost band
4402 * of tilable dimensions that has at least one parallel loop.
4403 * We then have three blocks of dimensions
4407 * The tilable band "B" is first tiled according to "tile" sizes, resulting
4412 * For each iteration of the T loop and for each array, we compute
4413 * the array elements accessed by that iteration, construct a rectangular
4414 * box around it and shift it to the origin. The result is used
4415 * as shared memory for the array.
4417 * We then split off at most 2 parallel loops from the T loops and
4418 * at most 3 parallel loops from the P loops
4422 * The T1/P1 loops are then tiled or "wrapped" over the blocks/threads,
4423 * according to "grid"/"block" sizes.
4425 * H T1T T1P T2 P1T P1P P2 G
4427 * Finally, the T1P and P1P iterators are equated to the block and
4428 * thread dimensions respectively and so are effectively removed.
4429 * The H loops are run on the host. The T1T, T2, P1T, P2 and G loops
4430 * are run on the GPU.
4432 * Code is generated in three stages. We first generate code for the
4433 * host (the H loops), with iterators h%d. Then, for each leaf node
4434 * of the resulting AST, we generate code for the shared loops (up to
4435 * and including T2), with iterators g%d and after equating the H loops
4436 * to h%d parameters and the T1P loops to the block dimensions.
4437 * Finally, we generate code for the remaining loops in a similar fashion.
4439 static __isl_give isl_printer
*generate(__isl_take isl_printer
*p
,
4440 struct gpu_gen
*gen
, struct ppcg_scop
*scop
,
4441 struct ppcg_options
*options
)
4443 struct gpu_prog
*prog
;
4445 isl_set
*context
, *guard
;
4448 return isl_printer_free(p
);
4450 ctx
= isl_printer_get_ctx(p
);
4451 prog
= gpu_prog_alloc(ctx
, scop
);
4453 return isl_printer_free(p
);
4455 context
= isl_set_copy(prog
->context
);
4456 guard
= isl_union_set_params(isl_union_set_copy(prog
->scop
->domain
));
4457 prog
->context
= isl_set_intersect(prog
->context
, isl_set_copy(guard
));
4460 gen
->any_parallelism
= 0;
4461 compute_schedule(gen
);
4463 if (!gen
->any_parallelism
) {
4464 isl_set_free(context
);
4465 isl_set_free(guard
);
4466 p
= print_cpu(p
, scop
, options
);
4468 compute_copy_in_and_out(gen
);
4469 gen
->tree
= generate_host_code(gen
);
4470 p
= ppcg_print_exposed_declarations(p
, prog
->scop
);
4471 p
= ppcg_print_guarded(p
, guard
, context
, &print_gpu
, gen
);
4472 isl_ast_node_free(gen
->tree
);
4475 isl_union_map_free(gen
->sched
);
4477 gpu_prog_free(prog
);
4482 /* Wrapper around generate for use as a ppcg_transform callback.
4484 static __isl_give isl_printer
*generate_wrap(__isl_take isl_printer
*p
,
4485 struct ppcg_scop
*scop
, void *user
)
4487 struct gpu_gen
*gen
= user
;
4489 return generate(p
, gen
, scop
, gen
->options
);
4492 /* Transform the code in the file called "input" by replacing
4493 * all scops by corresponding GPU code and write the results to "out".
4495 int generate_gpu(isl_ctx
*ctx
, const char *input
, FILE *out
,
4496 struct ppcg_options
*options
,
4497 __isl_give isl_printer
*(*print
)(__isl_take isl_printer
*p
,
4498 struct gpu_prog
*prog
, __isl_keep isl_ast_node
*tree
,
4499 struct gpu_types
*types
, void *user
), void *user
)
4506 gen
.sizes
= extract_sizes_from_str(ctx
, options
->sizes
);
4507 gen
.options
= options
;
4510 gen
.print_user
= user
;
4512 gen
.types
.name
= NULL
;
4514 if (options
->debug
->dump_sizes
) {
4515 isl_space
*space
= isl_space_params_alloc(ctx
, 0);
4516 gen
.used_sizes
= isl_union_map_empty(space
);
4519 r
= ppcg_transform(ctx
, input
, out
, options
, &generate_wrap
, &gen
);
4521 if (options
->debug
->dump_sizes
) {
4522 isl_union_map_dump(gen
.used_sizes
);
4523 isl_union_map_free(gen
.used_sizes
);
4526 isl_union_map_free(gen
.sizes
);
4527 for (i
= 0; i
< gen
.types
.n
; ++i
)
4528 free(gen
.types
.name
[i
]);
4529 free(gen
.types
.name
);
4534 /* Compute the set of inner array elements that may have their values
4535 * preserved by "prog". In particular, collect the array elements of
4536 * arrays that are not local to "prog" and remove those elements that
4537 * are definitely killed or definitely written by "prog".
4539 static __isl_give isl_union_set
*compute_may_persist(struct gpu_prog
*prog
)
4542 isl_union_set
*may_persist
, *killed
;
4543 isl_union_map
*must_kill
;
4545 may_persist
= isl_union_set_empty(isl_set_get_space(prog
->context
));
4546 for (i
= 0; i
< prog
->n_array
; ++i
) {
4549 if (prog
->array
[i
].local
)
4552 extent
= isl_set_copy(prog
->array
[i
].extent
);
4553 may_persist
= isl_union_set_add_set(may_persist
, extent
);
4556 may_persist
= isl_union_set_intersect_params(may_persist
,
4557 isl_set_copy(prog
->context
));
4558 may_persist
= isl_union_set_apply(may_persist
,
4559 isl_union_map_copy(prog
->to_inner
));
4560 must_kill
= isl_union_map_copy(prog
->tagged_must_kill
);
4561 killed
= isl_union_map_range(must_kill
);
4562 must_kill
= isl_union_map_copy(prog
->must_write
);
4563 killed
= isl_union_set_union(killed
, isl_union_map_range(must_kill
));
4565 may_persist
= isl_union_set_subtract(may_persist
, killed
);
4569 struct gpu_prog
*gpu_prog_alloc(isl_ctx
*ctx
, struct ppcg_scop
*scop
)
4571 struct gpu_prog
*prog
;
4578 prog
= isl_calloc_type(ctx
, struct gpu_prog
);
4583 prog
->context
= isl_set_copy(scop
->context
);
4584 prog
->n_stmts
= scop
->pet
->n_stmt
;
4585 prog
->any_to_outer
= pet_scop_compute_outer_to_any(scop
->pet
);
4586 prog
->any_to_outer
= isl_union_map_reverse(prog
->any_to_outer
);
4587 space
= isl_union_map_get_space(prog
->any_to_outer
);
4588 space
= isl_space_set_from_params(space
);
4589 space
= isl_space_add_dims(space
, isl_dim_set
, 1);
4590 space
= isl_space_map_from_set(space
);
4591 id
= isl_map_identity(space
);
4592 prog
->any_to_outer
= isl_union_map_add_map(prog
->any_to_outer
, id
);
4593 prog
->stmts
= extract_stmts(ctx
, scop
,
4594 prog
->context
, prog
->any_to_outer
);
4595 prog
->read
= isl_union_map_copy(scop
->reads
);
4596 prog
->may_write
= isl_union_map_copy(scop
->may_writes
);
4597 prog
->must_write
= isl_union_map_copy(scop
->must_writes
);
4598 prog
->tagged_must_kill
= isl_union_map_copy(scop
->tagged_must_kills
);
4599 prog
->to_inner
= pet_scop_compute_outer_to_inner(scop
->pet
);
4600 prog
->to_outer
= isl_union_map_copy(prog
->to_inner
);
4601 prog
->to_outer
= isl_union_map_reverse(prog
->to_outer
);
4604 return gpu_prog_free(prog
);
4606 if (collect_array_info(prog
) < 0)
4607 return gpu_prog_free(prog
);
4608 prog
->may_persist
= compute_may_persist(prog
);
4613 void *gpu_prog_free(struct gpu_prog
*prog
)
4617 free_array_info(prog
);
4618 free_stmts(prog
->stmts
, prog
->n_stmts
);
4619 isl_union_map_free(prog
->any_to_outer
);
4620 isl_union_map_free(prog
->to_outer
);
4621 isl_union_map_free(prog
->to_inner
);
4622 isl_union_set_free(prog
->copy_in
);
4623 isl_union_set_free(prog
->copy_out
);
4624 isl_union_map_free(prog
->read
);
4625 isl_union_map_free(prog
->may_write
);
4626 isl_union_map_free(prog
->must_write
);
4627 isl_union_map_free(prog
->tagged_must_kill
);
4628 isl_union_map_free(prog
->array_order
);
4629 isl_union_set_free(prog
->may_persist
);
4630 isl_set_free(prog
->context
);