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>
23 #include <isl/schedule.h>
24 #include <isl/options.h>
25 #include <isl/ast_build.h>
30 #include "ppcg_options.h"
33 /* The fields stride, shift and shift_map only contain valid information
35 * If so, they express that current index is such that if you add shift,
36 * then the result is always a multiple of stride.
37 * shift_map contains the mapping
39 * i -> (i + shift)/stride
41 * Let D represent the initial shared_len dimensions of the computed schedule.
42 * The spaces of "lb" and "shift" are of the form
46 * "shift_map" is of the form
48 * [D -> i] -> [D -> (i + shift(D))/stride]
50 struct gpu_array_bound
{
56 isl_basic_map
*shift_map
;
59 /* A tile of an array.
61 * n is the dimension of the array.
62 * bound is an array of size "n" representing the lower bound
63 * and size for each index.
65 * tiling maps a tile in the global array to the corresponding
66 * shared/private memory tile and is of the form
68 * { [D[i] -> A[a]] -> T[(a + shift(i))/stride - lb(i)] }
70 * where D represents the initial shared_len dimensions
71 * of the computed schedule.
73 struct gpu_array_tile
{
75 struct gpu_array_bound
*bound
;
76 isl_multi_aff
*tiling
;
79 struct gpu_array_info
;
81 /* A group of array references in a kernel that should be handled together.
82 * If private_tile is not NULL, then it is mapped to registers.
83 * Otherwise, if shared_tile is not NULL, it is mapped to shared memory.
84 * Otherwise, it is accessed from global memory.
86 struct gpu_array_ref_group
{
87 /* The references in this group access this array. */
88 struct gpu_array_info
*array
;
89 /* Position of this group in the list of reference groups of array. */
92 /* The following fields are use during the construction of the groups.
93 * access is the combined access relation relative to the shared
94 * memory tiling. In particular, the domain of the map corresponds
95 * to the first shared_len dimensions of the computed schedule.
96 * write is set if any access in the group is a write.
97 * exact_write is set if all writes are definite writes.
98 * slice is set if there is at least one access in the group
99 * that refers to more than one element
106 /* The shared memory tile, NULL if none. */
107 struct gpu_array_tile
*shared_tile
;
109 /* The private memory tile, NULL if none. */
110 struct gpu_array_tile
*private_tile
;
112 /* References in this group; point to elements of a linked list. */
114 struct gpu_stmt_access
**refs
;
116 /* Last shared memory tile dimension that affects tile of this group. */
122 struct ppcg_options
*options
;
124 /* Callback for printing of AST in appropriate format. */
125 __isl_give isl_printer
*(*print
)(__isl_take isl_printer
*p
,
126 struct gpu_prog
*prog
, __isl_keep isl_ast_node
*tree
,
127 struct gpu_types
*types
, void *user
);
130 struct gpu_prog
*prog
;
131 /* The generated AST. */
134 /* The sequence of types for which a definition has been printed. */
135 struct gpu_types types
;
137 /* User specified tile, grid and block sizes for each kernel */
138 isl_union_map
*sizes
;
140 /* Effectively used tile, grid and block sizes for each kernel */
141 isl_union_map
*used_sizes
;
143 /* Identifier of current kernel. */
145 /* Pointer to the current kernel. */
146 struct ppcg_kernel
*kernel
;
147 /* Does the computed schedule exhibit any parallelism? */
150 /* First tile dimension. */
152 /* Number of tile dimensions. */
154 /* Number of initial parallel loops among tile dimensions. */
157 /* Number of dimensions determining shared memory. */
160 /* Number of rows in the untiled schedule. */
162 /* Number of rows in the tiled schedule. */
164 /* Number of rows in schedule after tiling/wrapping over threads. */
165 int thread_tiled_len
;
167 /* Global untiled schedule. */
168 isl_union_map
*sched
;
169 /* Local (per kernel launch) tiled schedule. */
170 isl_union_map
*tiled_sched
;
171 /* Local schedule per shared memory tile loop iteration. */
172 isl_union_map
*local_sched
;
174 /* Local tiled schedule projected onto the shared tile loops and
175 * the loops that will be wrapped over the threads,
176 * with all shared tile loops parametrized.
178 isl_union_map
*shared_sched
;
179 /* Projects out the loops that will be wrapped over the threads
182 isl_union_map
*shared_proj
;
184 /* A map that takes the range of shared_sched as input,
185 * wraps the appropriate loops over the threads and then projects
188 isl_map
*privatization
;
190 /* A map from the shared memory tile loops and the thread indices
191 * (as parameters) to the set of accessed memory elements that
192 * will be accessed through private copies.
194 isl_union_map
*private_access
;
196 /* The schedule for the current private/shared access
197 * (within print_private_access or print_shared_access).
200 /* The array reference group corresponding to copy_sched. */
201 struct gpu_array_ref_group
*copy_group
;
203 /* Is any array in the current kernel marked force_private? */
204 int any_force_private
;
206 /* First loop to unroll (or -1 if none) in the current part of the
213 /* Note: in the input file, the sizes of the grid and the blocks
214 * are specified in the order x, y, z, but internally, the sizes
215 * are stored in reverse order, so that the last element always
216 * refers to the x dimension.
223 /* Print the name of the local copy of a given group of array references.
225 static __isl_give isl_printer
*print_array_name(__isl_take isl_printer
*p
,
226 struct gpu_array_ref_group
*group
)
230 if (group
->private_tile
)
231 p
= isl_printer_print_str(p
, "private_");
232 else if (group
->shared_tile
)
233 p
= isl_printer_print_str(p
, "shared_");
236 p
= isl_printer_print_str(p
, group
->array
->name
);
237 if (!global
&& group
->array
->n_group
> 1) {
238 p
= isl_printer_print_str(p
, "_");
239 p
= isl_printer_print_int(p
, group
->nr
);
245 /* Collect all references to the given array and store pointers to them
248 * If the array contains structures, then there is no need to collect
249 * the references since we will not be computing any reference groups.
251 static void collect_references(struct gpu_prog
*prog
,
252 struct gpu_array_info
*array
)
257 if (array
->has_compound_element
)
261 for (i
= 0; i
< prog
->n_stmts
; ++i
) {
262 struct gpu_stmt
*stmt
= &prog
->stmts
[i
];
263 struct gpu_stmt_access
*access
;
265 for (access
= stmt
->accesses
; access
; access
= access
->next
) {
267 name
= isl_map_get_tuple_name(access
->access
,
269 if (name
&& !strcmp(array
->name
, name
))
275 array
->refs
= isl_alloc_array(prog
->ctx
, struct gpu_stmt_access
*, n
);
279 for (i
= 0; i
< prog
->n_stmts
; ++i
) {
280 struct gpu_stmt
*stmt
= &prog
->stmts
[i
];
281 struct gpu_stmt_access
*access
;
283 for (access
= stmt
->accesses
; access
; access
= access
->next
) {
285 name
= isl_map_get_tuple_name(access
->access
,
287 if (!name
|| strcmp(array
->name
, name
))
290 array
->refs
[n
++] = access
;
295 /* Create a gpu_array_tile for an array of dimension "n_index".
297 static struct gpu_array_tile
*create_tile(isl_ctx
*ctx
, int n_index
)
300 struct gpu_array_tile
*tile
;
302 tile
= isl_calloc_type(ctx
, struct gpu_array_tile
);
307 tile
->bound
= isl_alloc_array(ctx
, struct gpu_array_bound
, n_index
);
310 for (i
= 0; i
< n_index
; ++i
) {
311 tile
->bound
[i
].size
= NULL
;
312 tile
->bound
[i
].lb
= NULL
;
313 tile
->bound
[i
].stride
= NULL
;
314 tile
->bound
[i
].shift
= NULL
;
315 tile
->bound
[i
].shift_map
= NULL
;
321 static void *free_tile(struct gpu_array_tile
*tile
)
328 for (j
= 0; j
< tile
->n
; ++j
) {
329 isl_val_free(tile
->bound
[j
].size
);
330 isl_val_free(tile
->bound
[j
].stride
);
331 isl_aff_free(tile
->bound
[j
].lb
);
332 isl_aff_free(tile
->bound
[j
].shift
);
333 isl_basic_map_free(tile
->bound
[j
].shift_map
);
336 isl_multi_aff_free(tile
->tiling
);
342 static struct pet_array
*find_array(struct ppcg_scop
*scop
,
343 __isl_keep isl_set
*accessed
)
348 id
= isl_set_get_tuple_id(accessed
);
350 for (i
= 0; i
< scop
->pet
->n_array
; ++i
) {
353 id_i
= isl_set_get_tuple_id(scop
->pet
->arrays
[i
]->extent
);
360 return i
< scop
->pet
->n_array
? scop
->pet
->arrays
[i
] : NULL
;
363 /* Compute and return the extent of "array", taking into account the set of
366 * In particular, the extent in the outer dimension is taken
367 * from "accessed", while then extent in the remaing dimensions
368 * are taken from array->extent.
370 * The extent in the outer dimension cannot be taken from array->extent
371 * because that may be unbounded. Furthermore, even if it is bounded,
372 * it may be larger than the piece of the array that is being accessed.
374 static __isl_give isl_set
*compute_extent(struct pet_array
*array
,
375 __isl_keep isl_set
*accessed
)
382 extent
= isl_set_copy(array
->extent
);
384 n_index
= isl_set_dim(accessed
, isl_dim_set
);
388 extent
= isl_set_project_out(extent
, isl_dim_set
, 0, 1);
389 outer
= isl_set_copy(accessed
);
390 outer
= isl_set_project_out(outer
, isl_dim_set
, 1, n_index
- 1);
391 extent
= isl_set_flat_product(outer
, extent
);
392 id
= isl_set_get_tuple_id(accessed
);
393 extent
= isl_set_set_tuple_id(extent
, id
);
398 /* Is the array "array" being extracted a read-only scalar?
400 * That is, is "array" a scalar that is never possibly written to.
401 * An array containing structures is never considered to be a scalar.
403 static int is_read_only_scalar(struct gpu_array_info
*array
,
404 struct gpu_prog
*prog
)
407 isl_union_map
*write
;
410 if (array
->has_compound_element
)
412 if (array
->n_index
!= 0)
415 write
= isl_union_map_copy(prog
->may_write
);
416 space
= isl_set_universe(isl_space_copy(array
->space
));
417 write
= isl_union_map_intersect_range(write
,
418 isl_union_set_from_set(space
));
419 empty
= isl_union_map_is_empty(write
);
420 isl_union_map_free(write
);
425 /* Compute bounds on the host arrays based on the accessed elements
426 * and collect all references to the array.
428 * If the array is zero-dimensional and does not contain structures,
429 * i.e., if the array is a scalar, we check whether it is read-only.
431 static int extract_array_info(__isl_take isl_set
*array
, void *user
)
434 struct gpu_prog
*prog
= (struct gpu_prog
*)user
;
438 struct pet_array
*pa
;
439 struct gpu_array_info
*info
;
442 info
= &prog
->array
[prog
->n_array
];
445 n_index
= isl_set_dim(array
, isl_dim_set
);
446 name
= isl_set_get_tuple_name(array
);
447 bounds
= isl_alloc_array(isl_set_get_ctx(array
),
448 isl_pw_aff
*, n_index
);
452 info
->space
= isl_set_get_space(array
);
453 info
->name
= strdup(name
);
454 info
->n_index
= n_index
;
455 info
->bound
= bounds
;
456 info
->linearize
= prog
->scop
->options
->linearize_device_arrays
;
458 pa
= find_array(prog
->scop
, array
);
460 isl_die(isl_set_get_ctx(array
), isl_error_internal
,
461 "unable to find array in scop", goto error
);
463 info
->type
= strdup(pa
->element_type
);
464 info
->size
= pa
->element_size
;
465 info
->local
= pa
->declared
&& !pa
->exposed
;
466 info
->has_compound_element
= pa
->element_is_record
;
467 info
->read_only_scalar
= is_read_only_scalar(info
, prog
);
469 extent
= compute_extent(pa
, array
);
470 info
->extent
= extent
;
471 for (i
= 0; i
< n_index
; ++i
) {
477 dom
= isl_set_copy(extent
);
478 dom
= isl_set_project_out(dom
, isl_dim_set
, i
+ 1,
480 dom
= isl_set_project_out(dom
, isl_dim_set
, 0, i
);
481 if (!isl_set_dim_has_upper_bound(dom
, isl_dim_set
, 0)) {
482 fprintf(stderr
, "unable to determine extent of '%s' "
483 "in dimension %d\n", info
->name
, i
);
484 dom
= isl_set_free(dom
);
486 bound
= isl_set_dim_max(dom
, 0);
487 dom
= isl_pw_aff_domain(isl_pw_aff_copy(bound
));
488 ls
= isl_local_space_from_space(isl_set_get_space(dom
));
489 one
= isl_aff_zero_on_domain(ls
);
490 one
= isl_aff_add_constant_si(one
, 1);
491 bound
= isl_pw_aff_add(bound
, isl_pw_aff_alloc(dom
, one
));
492 bound
= isl_pw_aff_gist(bound
, isl_set_copy(prog
->context
));
495 if (!isl_pw_aff_is_cst(bound
))
499 collect_references(prog
, info
);
508 /* Remove independence from the order constraints "order" on array "array".
509 * Since the pairs of iterations in the filter relation of an independence
510 * are guaranteed to be completely independent by the user, there is
511 * no need to ensure that live ranges are ordered along thong pairs.
512 * We make an exception for local variables, though, as the independence
513 * guarantee does not apply to those.
515 * The order constraints are used in two places.
516 * Those on scalars are used in check_scalar_live_ranges to check if
517 * we need to force the scalar to be private. Any non-local scalar
518 * should not be forced scalar if it only appears in independent loops.
519 * Those on non-scalars are added to the coincidence constraints
520 * in compute_schedule because we do not support any array expansion.
521 * Accesses to non-local arrays should not prevent a loop from being
522 * considered coincident so we should indeed remove those constraints
523 * from the order constraints.
525 static __isl_give isl_union_map
*remove_independences(struct gpu_prog
*prog
,
526 struct gpu_array_info
*array
, __isl_take isl_union_map
*order
)
530 for (i
= 0; i
< prog
->scop
->pet
->n_independence
; ++i
) {
531 struct pet_independence
*pi
= prog
->scop
->pet
->independences
[i
];
532 if (isl_union_set_contains(pi
->local
, array
->space
))
535 order
= isl_union_map_subtract(order
,
536 isl_union_map_copy(pi
->filter
));
542 /* For each array in "prog", store the (untagged) order dependences
543 * derived from the array in array->dep_order.
544 * In particular, consider all references that access the given array
545 * and take the order dependences that have one of these references
546 * as source. (Since an order dependence relates two references to
547 * the same array, the target of these order dependences will also
548 * be one of these references.)
549 * Additionally, store the union of these array->dep_order relations
550 * for all non-scalar arrays in prog->array_order.
552 void collect_order_dependences(struct gpu_prog
*prog
)
556 isl_union_map
*accesses
;
558 space
= isl_union_map_get_space(prog
->read
);
559 prog
->array_order
= isl_union_map_empty(space
);
561 accesses
= isl_union_map_copy(prog
->scop
->tagged_reads
);
562 accesses
= isl_union_map_union(accesses
,
563 isl_union_map_copy(prog
->scop
->tagged_may_writes
));
564 accesses
= isl_union_map_universe(accesses
);
565 accesses
= isl_union_map_apply_range(accesses
,
566 isl_union_map_copy(prog
->to_outer
));
568 for (i
= 0; i
< prog
->n_array
; ++i
) {
569 struct gpu_array_info
*array
= &prog
->array
[i
];
572 isl_union_map
*order
;
574 set
= isl_set_universe(isl_space_copy(array
->space
));
575 uset
= isl_union_set_from_set(set
);
576 uset
= isl_union_map_domain(
577 isl_union_map_intersect_range(isl_union_map_copy(accesses
),
579 order
= isl_union_map_copy(prog
->scop
->tagged_dep_order
);
580 order
= isl_union_map_intersect_domain(order
, uset
);
581 order
= isl_union_map_zip(order
);
582 order
= isl_union_set_unwrap(isl_union_map_domain(order
));
583 order
= remove_independences(prog
, array
, order
);
584 array
->dep_order
= order
;
586 if (gpu_array_is_scalar(array
))
589 prog
->array_order
= isl_union_map_union(prog
->array_order
,
590 isl_union_map_copy(array
->dep_order
));
593 isl_union_map_free(accesses
);
596 /* Construct a gpu_array_info for each array possibly accessed by "prog" and
597 * collect them in prog->array.
599 * If there are any member accesses involved, then they are first mapped
600 * to the outer arrays of structs.
602 * If we are allowing live range reordering, then also set
603 * the dep_order field. Otherwise leave it NULL.
605 static int collect_array_info(struct gpu_prog
*prog
)
608 isl_union_set
*arrays
;
610 arrays
= isl_union_map_range(isl_union_map_copy(prog
->read
));
611 arrays
= isl_union_set_union(arrays
,
612 isl_union_map_range(isl_union_map_copy(prog
->may_write
)));
614 arrays
= isl_union_set_apply(arrays
,
615 isl_union_map_copy(prog
->to_outer
));
617 arrays
= isl_union_set_coalesce(arrays
);
619 prog
->n_array
= isl_union_set_n_set(arrays
);
620 prog
->array
= isl_calloc_array(prog
->ctx
,
621 struct gpu_array_info
, prog
->n_array
);
624 r
= isl_union_set_foreach_set(arrays
, &extract_array_info
, prog
);
625 isl_union_set_free(arrays
);
627 if (prog
->scop
->options
->live_range_reordering
)
628 collect_order_dependences(prog
);
633 static void free_array_info(struct gpu_prog
*prog
)
637 for (i
= 0; i
< prog
->n_array
; ++i
) {
638 int n_index
= prog
->array
[i
].n_index
;
639 free(prog
->array
[i
].type
);
640 free(prog
->array
[i
].name
);
641 for (j
= 0; j
< n_index
; ++j
)
642 isl_pw_aff_free(prog
->array
[i
].bound
[j
]);
643 isl_space_free(prog
->array
[i
].space
);
644 isl_set_free(prog
->array
[i
].extent
);
645 free(prog
->array
[i
].bound
);
646 free(prog
->array
[i
].refs
);
647 isl_union_map_free(prog
->array
[i
].dep_order
);
652 /* Check if a gpu array is a scalar. A scalar is a value that is not stored
653 * as an array or through a pointer reference, but as a single data element.
654 * At the moment, scalars are represented as zero-dimensional arrays.
655 * A zero-dimensional array containing structures is not considered
658 int gpu_array_is_scalar(struct gpu_array_info
*array
)
660 return !array
->has_compound_element
&& array
->n_index
== 0;
663 /* Is "array" a read-only scalar?
665 int gpu_array_is_read_only_scalar(struct gpu_array_info
*array
)
667 return array
->read_only_scalar
;
670 /* Return the set of parameter values for which the array has a positive
671 * size in all dimensions.
672 * If the sizes are only valid for some parameter values, then those
673 * constraints are also taken into account.
675 __isl_give isl_set
*gpu_array_positive_size_guard(struct gpu_array_info
*array
)
681 space
= isl_space_params(isl_space_copy(array
->space
));
682 guard
= isl_set_universe(space
);
684 for (i
= 0; i
< array
->n_index
; ++i
) {
686 isl_set
*guard_i
, *zero
;
688 bound
= isl_pw_aff_copy(array
->bound
[i
]);
689 guard_i
= isl_pw_aff_nonneg_set(isl_pw_aff_copy(bound
));
690 zero
= isl_pw_aff_zero_set(bound
);
691 guard_i
= isl_set_subtract(guard_i
, zero
);
692 guard
= isl_set_intersect(guard
, guard_i
);
698 /* Internal data structure for extract_size_of_type.
699 * "type" specifies the name of the space that we want to extract.
700 * "res" is used to store the subset of that space.
702 struct ppcg_extract_size_data
{
707 /* This function is called for each set in a union_set.
708 * If the name of the set matches data->type, we store the
711 static int extract_size_of_type(__isl_take isl_set
*size
, void *user
)
713 struct ppcg_extract_size_data
*data
= user
;
716 name
= isl_set_get_tuple_name(size
);
717 if (name
&& !strcmp(name
, data
->type
)) {
726 /* Given a union map { kernel[i] -> *[...] },
727 * return the range in the space called "type" for the kernel with
728 * sequence number "id".
730 static __isl_give isl_set
*extract_sizes(__isl_keep isl_union_map
*sizes
,
731 const char *type
, int id
)
735 isl_union_set
*local_sizes
;
736 struct ppcg_extract_size_data data
= { type
, NULL
};
741 space
= isl_union_map_get_space(sizes
);
742 space
= isl_space_set_from_params(space
);
743 space
= isl_space_add_dims(space
, isl_dim_set
, 1);
744 space
= isl_space_set_tuple_name(space
, isl_dim_set
, "kernel");
745 dom
= isl_set_universe(space
);
746 dom
= isl_set_fix_si(dom
, isl_dim_set
, 0, id
);
748 local_sizes
= isl_union_set_apply(isl_union_set_from_set(dom
),
749 isl_union_map_copy(sizes
));
750 isl_union_set_foreach_set(local_sizes
, &extract_size_of_type
, &data
);
751 isl_union_set_free(local_sizes
);
755 /* Given a singleton set, extract the first (at most *len) elements
756 * of the single integer tuple into *sizes and update *len if needed.
758 static void read_sizes_from_set(__isl_take isl_set
*set
, int *sizes
, int *len
)
766 dim
= isl_set_dim(set
, isl_dim_set
);
770 for (i
= 0; i
< *len
; ++i
) {
773 v
= isl_set_plain_get_val_if_fixed(set
, isl_dim_set
, i
);
776 sizes
[i
] = isl_val_get_num_si(v
);
783 /* Add the map { kernel[id] -> type[sizes] } to gen->used_sizes,
784 * if the option debug->dump_sizes is set.
786 static void set_used_sizes(struct gpu_gen
*gen
, const char *type
, int id
,
793 if (!gen
->options
->debug
->dump_sizes
)
796 space
= isl_union_map_get_space(gen
->used_sizes
);
797 space
= isl_space_set_from_params(space
);
798 space
= isl_space_add_dims(space
, isl_dim_set
, 1);
799 space
= isl_space_set_tuple_name(space
, isl_dim_set
, "kernel");
800 space
= isl_space_from_domain(space
);
801 space
= isl_space_add_dims(space
, isl_dim_out
, len
);
802 space
= isl_space_set_tuple_name(space
, isl_dim_out
, type
);
804 map
= isl_map_universe(space
);
805 map
= isl_map_fix_si(map
, isl_dim_in
, 0, id
);
806 for (i
= 0; i
< len
; ++i
)
807 map
= isl_map_fix_si(map
, isl_dim_out
, i
, sizes
[i
]);
809 gen
->used_sizes
= isl_union_map_add_map(gen
->used_sizes
, map
);
812 /* Extract user specified "tile" sizes from the "sizes" command line option,
813 * defaulting to option->tile_size in each dimension.
814 * Add the effectively used sizes to gen->used_sizes.
816 static void read_tile_sizes(struct gpu_gen
*gen
)
821 gen
->tile_size
= isl_alloc_array(gen
->ctx
, int, gen
->tile_len
);
822 assert(gen
->tile_size
);
823 for (n
= 0; n
< gen
->tile_len
; ++n
)
824 gen
->tile_size
[n
] = gen
->options
->tile_size
;
826 size
= extract_sizes(gen
->sizes
, "tile", gen
->kernel_id
);
827 read_sizes_from_set(size
, gen
->tile_size
, &gen
->tile_len
);
828 set_used_sizes(gen
, "tile", gen
->kernel_id
,
829 gen
->tile_size
, gen
->tile_len
);
831 if (gen
->n_parallel
> gen
->tile_len
)
832 gen
->n_parallel
= gen
->tile_len
;
835 /* Extract user specified "block" sizes from the "sizes" command line option,
836 * after filling in some potentially useful defaults.
837 * Add the effectively used sizes to gen->used_sizes.
839 static void read_block_sizes(struct gpu_gen
*gen
)
845 gen
->n_block
= (n
<= 3) ? n
: 3;
846 switch (gen
->n_block
) {
848 gen
->block_dim
[0] = 512;
851 gen
->block_dim
[0] = 32;
852 gen
->block_dim
[1] = 16;
855 gen
->block_dim
[0] = 32;
856 gen
->block_dim
[1] = 4;
857 gen
->block_dim
[2] = 4;
861 size
= extract_sizes(gen
->sizes
, "block", gen
->kernel_id
);
862 read_sizes_from_set(size
, gen
->block_dim
, &gen
->n_block
);
863 set_used_sizes(gen
, "block", gen
->kernel_id
,
864 gen
->block_dim
, gen
->n_block
);
867 /* Extract user specified "grid" sizes from the "sizes" command line option,
868 * after filling in some potentially useful defaults.
869 * Add the effectively used sizes to gen->used_sizes.
871 static void read_grid_sizes(struct gpu_gen
*gen
)
873 int n
= gen
->n_parallel
;
876 gen
->n_grid
= (n
<= 2) ? n
: 2;
877 switch (gen
->n_grid
) {
879 gen
->grid_dim
[0] = 32768;
882 gen
->grid_dim
[0] = 256;
883 gen
->grid_dim
[1] = 256;
887 size
= extract_sizes(gen
->sizes
, "grid", gen
->kernel_id
);
888 read_sizes_from_set(size
, gen
->grid_dim
, &gen
->n_grid
);
889 set_used_sizes(gen
, "grid", gen
->kernel_id
, gen
->grid_dim
, gen
->n_grid
);
892 /* Extract user specified sizes from the "sizes" command line option
893 * after filling in some potentially useful defaults.
895 static void read_sizes(struct gpu_gen
*gen
)
897 read_tile_sizes(gen
);
898 read_block_sizes(gen
);
899 read_grid_sizes(gen
);
902 static void *free_stmts(struct gpu_stmt
*stmts
, int n
)
909 for (i
= 0; i
< n
; ++i
) {
910 struct gpu_stmt_access
*access
, *next
;
912 for (access
= stmts
[i
].accesses
; access
; access
= next
) {
914 isl_id_free(access
->ref_id
);
915 isl_map_free(access
->access
);
916 isl_map_free(access
->tagged_access
);
920 isl_id_free(stmts
[i
].id
);
927 /* Construct a map from a domain of dimensionality "len"
928 * to a domain of dimensionality "len" + "tile_len" that tiles
929 * the "tile_len" coordinates starting at "first".
930 * In particular, [s_i] -> [s_i / tile_size[i], s_i % tile_size[i]].
931 * "dim" prescribes the parameters.
933 static __isl_give isl_map
*tile(__isl_take isl_space
*dim
, int len
,
934 int first
, int tile_len
, int *tile_size
)
941 dim
= isl_space_add_dims(dim
, isl_dim_in
, len
);
942 dim
= isl_space_add_dims(dim
, isl_dim_out
, len
+ tile_len
);
943 bmap
= isl_basic_map_universe(isl_space_copy(dim
));
944 ls
= isl_local_space_from_space(dim
);
946 for (i
= 0; i
< len
- tile_len
; ++i
) {
947 int j
= i
< first
? i
: i
+ tile_len
;
948 int k
= i
< first
? i
: i
+ 2 * tile_len
;
950 c
= isl_equality_alloc(isl_local_space_copy(ls
));
951 c
= isl_constraint_set_coefficient_si(c
, isl_dim_in
, j
, -1);
952 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, k
, 1);
953 bmap
= isl_basic_map_add_constraint(bmap
, c
);
956 for (i
= 0; i
< tile_len
; ++i
) {
957 c
= isl_equality_alloc(isl_local_space_copy(ls
));
958 c
= isl_constraint_set_coefficient_si(c
, isl_dim_in
,
960 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
961 first
+ i
, tile_size
[i
]);
962 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
963 first
+ i
+ tile_len
, 1);
964 bmap
= isl_basic_map_add_constraint(bmap
, c
);
966 c
= isl_inequality_alloc(isl_local_space_copy(ls
));
967 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
968 first
+ i
+ tile_len
, 1);
969 bmap
= isl_basic_map_add_constraint(bmap
, c
);
971 c
= isl_inequality_alloc(isl_local_space_copy(ls
));
972 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
973 first
+ i
+ tile_len
, -1);
974 c
= isl_constraint_set_constant_si(c
, tile_size
[i
] - 1);
975 bmap
= isl_basic_map_add_constraint(bmap
, c
);
978 isl_local_space_free(ls
);
980 return isl_map_from_basic_map(bmap
);
983 /* Construct a map from a domain of dimensionality "len"
984 * to a domain of dimensionality "len" + "wrap_len" that "wraps"
985 * the "wrap_len" coordinates starting at "first" according to "wrap_size".
986 * In particular, [s_i] -> [s_i, s_i % wrap_size[i]].
987 * To do so, we need extra variables corresponding to [s_i / wrap_size[i]],
988 * that are projected out at the end.
989 * "dim" prescribes the parameters.
991 static __isl_give isl_map
*wrap(__isl_take isl_space
*dim
, int len
,
992 int first
, int wrap_len
, int *wrap_size
)
999 dim
= isl_space_add_dims(dim
, isl_dim_in
, len
);
1000 dim
= isl_space_add_dims(dim
, isl_dim_out
, len
+ 2 * wrap_len
);
1001 bmap
= isl_basic_map_universe(isl_space_copy(dim
));
1002 ls
= isl_local_space_from_space(dim
);
1004 for (i
= 0; i
< len
; ++i
) {
1005 int k
= i
< first
+ wrap_len
? i
: i
+ 2 * wrap_len
;
1007 c
= isl_equality_alloc(isl_local_space_copy(ls
));
1008 c
= isl_constraint_set_coefficient_si(c
, isl_dim_in
, i
, -1);
1009 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, k
, 1);
1010 bmap
= isl_basic_map_add_constraint(bmap
, c
);
1013 for (i
= 0; i
< wrap_len
; ++i
) {
1014 c
= isl_equality_alloc(isl_local_space_copy(ls
));
1015 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
1017 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
1018 first
+ wrap_len
+ i
, 1);
1019 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
1020 first
+ 2 * wrap_len
+ i
, wrap_size
[i
]);
1021 bmap
= isl_basic_map_add_constraint(bmap
, c
);
1023 c
= isl_inequality_alloc(isl_local_space_copy(ls
));
1024 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
1025 first
+ wrap_len
+ i
, 1);
1026 bmap
= isl_basic_map_add_constraint(bmap
, c
);
1028 c
= isl_inequality_alloc(isl_local_space_copy(ls
));
1029 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
,
1030 first
+ wrap_len
+ i
, -1);
1031 c
= isl_constraint_set_constant_si(c
, wrap_size
[i
] - 1);
1032 bmap
= isl_basic_map_add_constraint(bmap
, c
);
1035 isl_local_space_free(ls
);
1037 bmap
= isl_basic_map_project_out(bmap
, isl_dim_out
,
1038 first
+ 2 * wrap_len
, wrap_len
);
1040 return isl_map_from_basic_map(bmap
);
1043 /* Add "n" parameters named prefix%d.
1045 static __isl_give isl_set
*add_params( __isl_take isl_set
*set
,
1046 int n
, const char *prefix
)
1052 nparam
= isl_set_dim(set
, isl_dim_param
);
1053 set
= isl_set_add_dims(set
, isl_dim_param
, n
);
1055 for (i
= 0; i
< n
; ++i
) {
1056 snprintf(name
, sizeof(name
), "%s%d", prefix
, i
);
1057 set
= isl_set_set_dim_name(set
, isl_dim_param
,
1064 /* Equate the "n" dimensions of "set" starting at "first" to
1065 * freshly created parameters named prefix%d.
1067 static __isl_give isl_set
*parametrize(__isl_take isl_set
*set
,
1068 int first
, int n
, const char *prefix
)
1073 nparam
= isl_set_dim(set
, isl_dim_param
);
1075 set
= add_params(set
, n
, prefix
);
1077 for (i
= 0; i
< n
; ++i
)
1078 set
= isl_set_equate(set
, isl_dim_param
, nparam
+ i
,
1079 isl_dim_set
, first
+ i
);
1084 /* Given a parameter space "space", create a set of dimension "len"
1085 * of which the "n" dimensions starting at "first" are equated to
1086 * freshly created parameters named prefix%d.
1088 static __isl_give isl_set
*parametrization(__isl_take isl_space
*space
,
1089 int len
, int first
, int n
, const char *prefix
)
1093 space
= isl_space_set_from_params(space
);
1094 space
= isl_space_add_dims(space
, isl_dim_set
, len
);
1095 set
= isl_set_universe(space
);
1097 return parametrize(set
, first
, n
, prefix
);
1100 /* Tile the B loops over the tile sizes and then tile/wrap
1101 * the T1 loops over the blocks.
1103 static __isl_give isl_union_map
*tile_schedule(struct gpu_gen
*gen
,
1104 __isl_take isl_union_map
*sched
)
1107 isl_map
*tiling
, *block_tiling
;
1109 dim
= isl_union_map_get_space(sched
);
1110 tiling
= tile(isl_space_copy(dim
), gen
->untiled_len
,
1111 gen
->tile_first
, gen
->tile_len
, gen
->tile_size
);
1113 if (gen
->options
->wrap
)
1114 block_tiling
= wrap(dim
, gen
->untiled_len
+ gen
->tile_len
,
1115 gen
->tile_first
, gen
->n_grid
, gen
->grid_dim
);
1117 block_tiling
= tile(dim
, gen
->untiled_len
+ gen
->tile_len
,
1118 gen
->tile_first
, gen
->n_grid
, gen
->grid_dim
);
1120 gen
->tiled_len
= gen
->untiled_len
+ gen
->tile_len
+ gen
->n_grid
;
1122 tiling
= isl_map_apply_range(tiling
, block_tiling
);
1124 sched
= isl_union_map_apply_range(sched
,
1125 isl_union_map_from_map(tiling
));
1127 gen
->shared_len
= gen
->tile_first
+ gen
->tile_len
+ gen
->n_grid
;
1132 /* Equate the "T1P" iterators in the tiled schedule "sched"
1133 * to the block dimensions.
1135 static __isl_give isl_union_map
*parametrize_tiled_schedule(
1136 struct gpu_gen
*gen
, __isl_take isl_union_map
*sched
)
1141 dim
= isl_union_map_get_space(sched
);
1142 par
= parametrization(dim
, gen
->tiled_len
,
1143 gen
->tile_first
+ gen
->n_grid
, gen
->n_grid
, "b");
1144 sched
= isl_union_map_intersect_range(sched
,
1145 isl_union_set_from_set(par
));
1150 /* Tile/wrap the P1 loops over the threads.
1152 static __isl_give isl_union_map
*thread_tile_schedule(struct gpu_gen
*gen
,
1153 __isl_take isl_union_map
*sched
)
1159 dim
= isl_union_map_get_space(sched
);
1161 if (gen
->options
->wrap
)
1162 tiling
= wrap(isl_space_copy(dim
), gen
->tiled_len
,
1163 gen
->shared_len
, gen
->n_block
, gen
->block_dim
);
1165 tiling
= tile(isl_space_copy(dim
), gen
->tiled_len
,
1166 gen
->shared_len
, gen
->n_block
, gen
->block_dim
);
1167 gen
->thread_tiled_len
= gen
->tiled_len
+ gen
->n_block
;
1169 sched
= isl_union_map_apply_range(sched
,
1170 isl_union_map_from_map(tiling
));
1172 par
= parametrization(dim
, gen
->thread_tiled_len
,
1173 gen
->tile_first
+ gen
->tile_len
+ gen
->n_grid
+ gen
->n_block
,
1175 sched
= isl_union_map_intersect_range(sched
,
1176 isl_union_set_from_set(par
));
1178 gen
->shared_len
= gen
->tile_first
+ gen
->tile_len
+ gen
->n_grid
;
1183 /* If the user asked for it, scale the shared memory tile loops
1184 * (T1T and T2) of "sched" by gen->tile_size[i].
1185 * If we are not performing "wrapping", then additionally scale the T1P
1186 * loops by gen->grid_dim[i].
1188 static __isl_give isl_union_map
*scale_tile_loops(struct gpu_gen
*gen
,
1189 __isl_take isl_union_map
*sched
)
1193 isl_basic_map
*scale
;
1195 isl_local_space
*ls
;
1197 if (!gen
->options
->scale_tile_loops
)
1200 dim
= isl_union_map_get_space(sched
);
1201 dim
= isl_space_add_dims(dim
, isl_dim_in
, gen
->tiled_len
);
1202 dim
= isl_space_add_dims(dim
, isl_dim_out
, gen
->tiled_len
);
1203 scale
= isl_basic_map_universe(isl_space_copy(dim
));
1204 ls
= isl_local_space_from_space(dim
);
1206 for (i
= 0; i
< gen
->tiled_len
; ++i
) {
1209 if (i
>= gen
->tile_first
&& i
< gen
->tile_first
+ gen
->n_grid
) {
1210 f
= gen
->tile_size
[i
- gen
->tile_first
];
1211 if (!gen
->options
->wrap
)
1212 f
*= gen
->grid_dim
[i
- gen
->tile_first
];
1213 } else if (i
>= gen
->tile_first
+ gen
->n_grid
&&
1214 i
< gen
->tile_first
+ gen
->n_grid
+ gen
->tile_len
) {
1215 f
= gen
->tile_size
[i
- (gen
->tile_first
+ gen
->n_grid
)];
1218 c
= isl_equality_alloc(isl_local_space_copy(ls
));
1219 c
= isl_constraint_set_coefficient_si(c
, isl_dim_in
, i
, f
);
1220 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, i
, -1);
1221 scale
= isl_basic_map_add_constraint(scale
, c
);
1224 isl_local_space_free(ls
);
1226 sched
= isl_union_map_apply_range(sched
,
1227 isl_union_map_from_map(isl_map_from_basic_map(scale
)));
1232 /* If we are not performing "wrapping" and if the user asked for it,
1233 * scale the thread tile loops (P1T) of "sched" by gen->block_dim[i].
1235 static __isl_give isl_union_map
*scale_thread_tile_loops(struct gpu_gen
*gen
,
1236 __isl_take isl_union_map
*sched
)
1240 isl_basic_map
*scale
;
1242 isl_local_space
*ls
;
1244 if (gen
->options
->wrap
)
1246 if (!gen
->options
->scale_tile_loops
)
1249 dim
= isl_union_map_get_space(sched
);
1250 dim
= isl_space_add_dims(dim
, isl_dim_in
, gen
->thread_tiled_len
);
1251 dim
= isl_space_add_dims(dim
, isl_dim_out
, gen
->thread_tiled_len
);
1252 scale
= isl_basic_map_universe(isl_space_copy(dim
));
1253 ls
= isl_local_space_from_space(dim
);
1255 for (i
= 0; i
< gen
->thread_tiled_len
; ++i
) {
1258 if (i
>= gen
->shared_len
&&
1259 i
< gen
->shared_len
+ gen
->n_block
)
1260 f
= gen
->block_dim
[i
- gen
->shared_len
];
1262 c
= isl_equality_alloc(isl_local_space_copy(ls
));
1263 c
= isl_constraint_set_coefficient_si(c
, isl_dim_in
, i
, f
);
1264 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, i
, -1);
1265 scale
= isl_basic_map_add_constraint(scale
, c
);
1268 isl_local_space_free(ls
);
1270 sched
= isl_union_map_apply_range(sched
,
1271 isl_union_map_from_map(isl_map_from_basic_map(scale
)));
1276 /* If we are not performing "wrapping" and if the user asked for it,
1277 * scale the "n_tile" loops starting at "first" of "sched" by gen->block_dim[i].
1279 static __isl_give isl_union_map
*scale_access_tile_loops(struct gpu_gen
*gen
,
1280 __isl_take isl_union_map
*sched
, int len
, int first
, int n_tile
)
1284 isl_basic_map
*scale
;
1286 isl_local_space
*ls
;
1288 if (gen
->options
->wrap
)
1290 if (!gen
->options
->scale_tile_loops
)
1293 dim
= isl_union_map_get_space(sched
);
1294 dim
= isl_space_add_dims(dim
, isl_dim_in
, len
);
1295 dim
= isl_space_add_dims(dim
, isl_dim_out
, len
);
1296 scale
= isl_basic_map_universe(isl_space_copy(dim
));
1297 ls
= isl_local_space_from_space(dim
);
1299 for (i
= 0; i
< len
; ++i
) {
1302 if (i
>= first
&& i
< first
+ n_tile
)
1303 f
= gen
->kernel
->block_dim
[i
- first
];
1305 c
= isl_equality_alloc(isl_local_space_copy(ls
));
1306 c
= isl_constraint_set_coefficient_si(c
, isl_dim_in
, i
, f
);
1307 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, i
, -1);
1308 scale
= isl_basic_map_add_constraint(scale
, c
);
1311 isl_local_space_free(ls
);
1313 sched
= isl_union_map_apply_range(sched
,
1314 isl_union_map_from_map(isl_map_from_basic_map(scale
)));
1319 /* Add "len" parameters p[i] called prefix%d,
1320 * with bounds to 0 <= p[i] < size[i].
1322 __isl_give isl_set
*add_bounded_parameters(__isl_take isl_set
*set
,
1323 int len
, int *size
, const char *prefix
)
1328 isl_basic_set
*bset
;
1330 isl_local_space
*ls
;
1333 nparam
= isl_set_dim(set
, isl_dim_param
);
1334 set
= isl_set_add_dims(set
, isl_dim_param
, len
);
1336 for (i
= 0; i
< len
; ++i
) {
1337 snprintf(name
, sizeof(name
), "%s%d", prefix
, i
);
1338 set
= isl_set_set_dim_name(set
, isl_dim_param
,
1342 dim
= isl_set_get_space(set
);
1343 bset
= isl_basic_set_universe(isl_space_copy(dim
));
1344 ls
= isl_local_space_from_space(dim
);
1346 for (i
= 0; i
< len
; ++i
) {
1347 c
= isl_inequality_alloc(isl_local_space_copy(ls
));
1348 c
= isl_constraint_set_coefficient_si(c
, isl_dim_param
,
1350 bset
= isl_basic_set_add_constraint(bset
, c
);
1352 c
= isl_inequality_alloc(isl_local_space_copy(ls
));
1353 c
= isl_constraint_set_coefficient_si(c
, isl_dim_param
,
1355 c
= isl_constraint_set_constant_si(c
, size
[i
] - 1);
1356 bset
= isl_basic_set_add_constraint(bset
, c
);
1359 isl_local_space_free(ls
);
1361 return isl_set_intersect(set
, isl_set_from_basic_set(bset
));
1364 /* Add "len" parameters p[i] called prefix%d and intersect "set"
1367 * { : 0 <= p[i] < size[i] }
1369 * or an overapproximation.
1371 static __isl_give isl_set
*add_bounded_parameters_dynamic(
1372 __isl_take isl_set
*set
, __isl_keep isl_multi_pw_aff
*size
,
1378 isl_local_space
*ls
;
1381 len
= isl_multi_pw_aff_dim(size
, isl_dim_out
);
1382 nparam
= isl_set_dim(set
, isl_dim_param
);
1383 set
= isl_set_add_dims(set
, isl_dim_param
, len
);
1385 for (i
= 0; i
< len
; ++i
) {
1386 snprintf(name
, sizeof(name
), "%s%d", prefix
, i
);
1387 set
= isl_set_set_dim_name(set
, isl_dim_param
,
1391 space
= isl_space_params(isl_set_get_space(set
));
1392 ls
= isl_local_space_from_space(space
);
1393 for (i
= 0; i
< len
; ++i
) {
1394 isl_pw_aff
*param
, *size_i
, *zero
;
1397 param
= isl_pw_aff_var_on_domain(isl_local_space_copy(ls
),
1398 isl_dim_param
, nparam
+ i
);
1400 size_i
= isl_multi_pw_aff_get_pw_aff(size
, i
);
1401 bound
= isl_pw_aff_lt_set(isl_pw_aff_copy(param
), size_i
);
1402 bound
= isl_set_from_basic_set(isl_set_simple_hull(bound
));
1403 set
= isl_set_intersect_params(set
, bound
);
1405 zero
= isl_pw_aff_zero_on_domain(isl_local_space_copy(ls
));
1406 bound
= isl_pw_aff_ge_set(param
, zero
);
1407 set
= isl_set_intersect_params(set
, bound
);
1409 isl_local_space_free(ls
);
1414 /* Construct a map from an access to group->array to the corresponding
1415 * shared/private memory tile.
1416 * The map is of the form
1418 * { [D[i] -> A[a]] -> T[t] }
1420 * where D represents the initial shared_len dimensions
1421 * of the computed schedule.
1423 static __isl_give isl_map
*shift_access(struct gpu_array_ref_group
*group
)
1425 struct gpu_array_tile
*tile
;
1426 isl_multi_aff
*tiling
;
1428 tile
= group
->private_tile
;
1430 tile
= group
->shared_tile
;
1432 tiling
= isl_multi_aff_copy(tile
->tiling
);
1434 return isl_map_from_multi_aff(tiling
);
1437 /* Does "map" have an obviously fixed value at variable "pos" of "type"?
1439 static int map_plain_is_fixed(isl_map
*map
, enum isl_dim_type type
,
1445 v
= isl_map_plain_get_val_if_fixed(map
, type
, pos
);
1448 fixed
= isl_val_is_int(v
);
1454 /* Given a schedule that iterates over all elements in a piece of an array,
1455 * perform tiling/wrapping over the threads.
1457 * In particular, we tile the final iterators so that the final thread
1458 * dimension runs over the final array dimension.
1459 * However, if those final iterators have only a single iteration,
1460 * we try to tile earlier iterators instead.
1462 static __isl_give isl_map
*tile_access_schedule(struct gpu_gen
*gen
,
1463 __isl_take isl_map
*sched
)
1466 isl_union_map
*usched
;
1469 unsigned nvar
= isl_map_dim(sched
, isl_dim_out
);
1473 n_tile
= gen
->kernel
->n_block
;
1474 if (n_tile
> nvar
) {
1476 sched
= isl_map_insert_dims(sched
,
1477 isl_dim_out
, 0, n_tile
- nvar
);
1478 for (i
= 0; i
< n_tile
- nvar
; ++i
)
1479 sched
= isl_map_fix_si(sched
, isl_dim_out
, i
, 0);
1483 first
= nvar
- n_tile
;
1485 for (; first
> 0; first
--)
1486 if (!map_plain_is_fixed(sched
, isl_dim_out
, first
+ n_tile
- 1))
1489 dim
= isl_map_get_space(sched
);
1490 dim
= isl_space_params(dim
);
1491 if (gen
->options
->wrap
)
1492 tiling
= wrap(isl_space_copy(dim
), nvar
, first
,
1493 n_tile
, gen
->kernel
->block_dim
);
1495 tiling
= tile(isl_space_copy(dim
), nvar
, first
,
1496 n_tile
, gen
->kernel
->block_dim
);
1497 sched
= isl_map_apply_range(sched
, tiling
);
1499 par
= parametrization(dim
, nvar
+ n_tile
, first
+ n_tile
, n_tile
, "t");
1500 sched
= isl_map_intersect_range(sched
, par
);
1502 usched
= isl_union_map_from_map(sched
);
1503 usched
= scale_access_tile_loops(gen
, usched
, nvar
+ n_tile
,
1505 sched
= isl_map_from_union_map(usched
);
1510 /* Return the union of all read (read = 1) and/or write (write = 1)
1511 * access relations in the group.
1513 static __isl_give isl_union_map
*group_access_relation(
1514 struct gpu_array_ref_group
*group
, int read
, int write
)
1517 isl_union_map
*access
;
1519 access
= isl_union_map_empty(isl_map_get_space(group
->access
));
1520 for (i
= 0; i
< group
->n_ref
; ++i
) {
1523 if (!((read
&& group
->refs
[i
]->read
) ||
1524 (write
&& group
->refs
[i
]->write
)))
1526 map_i
= isl_map_copy(group
->refs
[i
]->access
);
1527 access
= isl_union_map_union(access
,
1528 isl_union_map_from_map(map_i
));
1534 /* Return the union of all tagged access relations in the group.
1536 static __isl_give isl_union_map
*group_tagged_access_relation(
1537 struct gpu_array_ref_group
*group
)
1540 isl_union_map
*access
;
1542 access
= isl_union_map_empty(isl_map_get_space(group
->access
));
1543 for (i
= 0; i
< group
->n_ref
; ++i
) {
1546 map_i
= isl_map_copy(group
->refs
[i
]->tagged_access
);
1547 access
= isl_union_map_union(access
,
1548 isl_union_map_from_map(map_i
));
1554 /* Return the extent of "array", recomputed from the bounds.
1555 * The recomputed extent may be simpler than the original extent.
1557 static __isl_give isl_set
*array_extent(struct gpu_array_info
*array
)
1562 isl_local_space
*ls
;
1565 id
= isl_set_get_tuple_id(array
->extent
);
1566 space
= isl_set_get_space(array
->extent
);
1567 extent
= isl_set_universe(isl_space_copy(space
));
1568 ls
= isl_local_space_from_space(space
);
1569 for (i
= 0; i
< array
->n_index
; ++i
) {
1575 extent
= isl_set_lower_bound_si(extent
, isl_dim_set
, i
, 0);
1577 aff
= isl_aff_var_on_domain(isl_local_space_copy(ls
),
1579 index
= isl_pw_aff_from_aff(aff
);
1580 bound
= isl_pw_aff_copy(array
->bound
[i
]);
1581 bound
= isl_pw_aff_from_range(bound
);
1582 bound
= isl_pw_aff_add_dims(bound
, isl_dim_in
, array
->n_index
);
1583 bound
= isl_pw_aff_set_tuple_id(bound
, isl_dim_in
,
1585 lt
= isl_pw_aff_lt_set(index
, bound
);
1586 extent
= isl_set_intersect(extent
, lt
);
1588 isl_local_space_free(ls
);
1594 /* Return a map from the first shared_len dimensions of the computed
1595 * schedule to the array tile in
1596 * global memory that corresponds to the shared memory copy.
1598 * In particular, return a map
1604 * tile_offset(i) <= a <= tile_offset(i) + tile_size - 1 (1)
1608 * 0 <= a <= array_size - 1 (2)
1610 * Note that if some stride has been detected (i.e., when
1611 * group->shared_tile->bound[i].shift is set), then a in (1) refers
1612 * to the shifted and scaled down version.
1614 * Constraints (1) are obtained by mapping the size constraints on the
1615 * shared/private memory tile back to the access relation.
1616 * Constraints (2) are obtained from the (recomputed) extent.
1618 static __isl_give isl_map
*group_tile(struct gpu_array_ref_group
*group
)
1621 int n_index
= group
->array
->n_index
;
1627 space
= isl_multi_aff_get_space(group
->shared_tile
->tiling
);
1628 space
= isl_space_range(space
);
1629 local
= isl_set_universe(space
);
1630 for (i
= 0; i
< n_index
; ++i
) {
1633 local
= isl_set_lower_bound_si(local
, isl_dim_set
, i
, 0);
1634 bound
= isl_val_copy(group
->shared_tile
->bound
[i
].size
);
1635 bound
= isl_val_sub_ui(bound
, 1);
1636 local
= isl_set_upper_bound_val(local
, isl_dim_set
, i
, bound
);
1638 local
= isl_set_preimage_multi_aff(local
,
1639 isl_multi_aff_copy(group
->shared_tile
->tiling
));
1640 tile
= isl_set_unwrap(local
);
1641 extent
= array_extent(group
->array
);
1642 tile
= isl_map_intersect_range(tile
, extent
);
1647 /* Given a mapping "iterator_map" from the AST schedule to a domain,
1648 * return the corresponding mapping from the AST schedule to
1649 * to the first shared_len dimensions of the schedule computed by PPCG.
1651 static __isl_give isl_pw_multi_aff
*compute_sched_to_shared(struct gpu_gen
*gen
,
1652 __isl_take isl_pw_multi_aff
*iterator_map
)
1654 isl_union_map
*umap
;
1656 isl_map
*map
, *sched
;;
1658 space
= isl_space_range(isl_pw_multi_aff_get_space(iterator_map
));
1659 space
= isl_space_from_domain(space
);
1660 space
= isl_space_add_dims(space
, isl_dim_out
, gen
->shared_len
);
1662 umap
= isl_union_map_copy(gen
->shared_sched
);
1663 umap
= isl_union_map_apply_range(umap
,
1664 isl_union_map_copy(gen
->shared_proj
));
1665 map
= isl_union_map_extract_map(umap
, space
);
1666 isl_union_map_free(umap
);
1668 sched
= isl_map_preimage_domain_pw_multi_aff(map
, iterator_map
);
1669 sched
= isl_map_detect_equalities(sched
);
1671 return isl_pw_multi_aff_from_map(sched
);
1674 /* Set unroll[j] if the input dimension j is involved in
1675 * the index expression represented by ma.
1677 static int check_unroll(__isl_take isl_set
*set
, __isl_take isl_multi_aff
*ma
,
1681 int n_in
= isl_multi_aff_dim(ma
, isl_dim_in
);
1682 int n_out
= isl_multi_aff_dim(ma
, isl_dim_out
);
1685 for (i
= 0; i
< n_out
; ++i
) {
1688 aff
= isl_multi_aff_get_aff(ma
, i
);
1689 for (j
= 0; j
< n_in
; ++j
)
1690 if (isl_aff_involves_dims(aff
, isl_dim_in
, j
, 1))
1696 isl_multi_aff_free(ma
);
1700 /* Given an array pos mapping input dimensions to the corresponding
1701 * output dimension, construct the corresponding map.
1703 static __isl_give isl_map
*permutation(__isl_take isl_space
*dim
,
1708 isl_basic_map
*bmap
;
1709 isl_local_space
*ls
;
1711 dim
= isl_space_add_dims(dim
, isl_dim_in
, len
);
1712 dim
= isl_space_add_dims(dim
, isl_dim_out
, len
);
1713 bmap
= isl_basic_map_universe(isl_space_copy(dim
));
1714 ls
= isl_local_space_from_space(dim
);
1716 for (i
= 0; i
< len
; ++i
) {
1717 c
= isl_equality_alloc(isl_local_space_copy(ls
));
1718 c
= isl_constraint_set_coefficient_si(c
, isl_dim_in
, i
,
1720 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, pos
[i
],
1722 bmap
= isl_basic_map_add_constraint(bmap
, c
);
1724 isl_local_space_free(ls
);
1726 return isl_map_from_basic_map(bmap
);
1729 /* Remove the private tiles from all array reference groups,
1730 * except for the groups of arrays that are marked force_private.
1732 static void remove_private_tiles(struct gpu_gen
*gen
)
1736 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
1737 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
1739 if (array
->force_private
)
1742 for (j
= 0; j
< array
->n_group
; ++j
) {
1743 struct gpu_array_ref_group
*group
= array
->groups
[j
];
1745 group
->private_tile
= free_tile(group
->private_tile
);
1750 /* Find all loops involved in any of the index expressions for any of
1751 * the private accesses, move them innermost and then mark them as
1752 * requiring unrolling by setting gen->first_unroll.
1753 * The loops involved should all be parallel because of the checks
1754 * we performed in check_private_group_access. Moving them innermost
1755 * is therefore a valid transformation.
1757 * If any of the arrays are marked force_private, however, then
1758 * those loops may not be parallel with respect to the marked arrays.
1759 * If any of the loops would have to be moved innermost for the
1760 * (non forced) private accesses and if there are any force_private
1761 * arrays, then we revert the decision to map the selected arrays
1762 * to private memory. An alternative solution would be to expand
1763 * the force_private arrays.
1765 * Loops up to gen->shared_len are generated before the mapping to
1766 * threads is applied. They should therefore be ignored.
1768 * We compute the hidden equalities of the schedule first
1769 * since we will need them in our calls to isl_pw_multi_aff_from_map
1770 * and because we want to make sure that the same equalities
1771 * are also available to the code generator.
1773 static __isl_give isl_union_map
*interchange_for_unroll(struct gpu_gen
*gen
,
1774 __isl_take isl_union_map
*sched
)
1777 int unroll
[gen
->thread_tiled_len
];
1778 int perm
[gen
->thread_tiled_len
];
1781 int len
= gen
->shared_len
+ gen
->n_parallel
+ gen
->n_block
;
1783 gen
->first_unroll
= -1;
1785 sched
= isl_union_map_detect_equalities(sched
);
1786 for (i
= 0; i
< gen
->thread_tiled_len
; ++i
)
1788 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
1789 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
1791 for (j
= 0; j
< array
->n_group
; ++j
) {
1792 isl_union_map
*access
;
1794 isl_pw_multi_aff
*pma
;
1796 if (!array
->groups
[j
]->private_tile
)
1799 access
= group_access_relation(array
->groups
[j
], 1, 1);
1800 access
= isl_union_map_apply_domain(access
,
1801 isl_union_map_copy(sched
));
1803 acc
= isl_map_from_union_map(access
);
1804 pma
= isl_pw_multi_aff_from_map(acc
);
1805 isl_pw_multi_aff_foreach_piece(pma
,
1806 &check_unroll
, unroll
);
1808 isl_pw_multi_aff_free(pma
);
1812 for (i
= gen
->shared_len
; i
< len
; ++i
)
1819 for (i
= len
; i
< gen
->thread_tiled_len
; ++i
)
1823 if (gen
->any_force_private
) {
1824 remove_private_tiles(gen
);
1829 for (i
= 0; i
< gen
->shared_len
; ++i
)
1831 for (i
= gen
->shared_len
; i
< gen
->thread_tiled_len
; ++i
)
1834 gen
->first_unroll
= j
- gen
->shared_len
;
1835 for (i
= gen
->shared_len
; i
< len
; ++i
)
1839 dim
= isl_union_map_get_space(sched
);
1840 permute
= permutation(dim
, perm
, gen
->thread_tiled_len
);
1841 sched
= isl_union_map_apply_range(sched
,
1842 isl_union_map_from_map(permute
));
1847 /* Given a constraint
1849 * a(p,i) + j = g f(e)
1851 * or -a(p,i) - j = g f(e) if sign < 0,
1852 * store a(p,i) in bound->shift and g (stride) in bound->stride.
1853 * a(p,i) is assumed to be an expression in only the parameters
1854 * and the input dimensions.
1856 static void extract_stride(__isl_keep isl_constraint
*c
,
1857 struct gpu_array_bound
*bound
, __isl_keep isl_val
*stride
, int sign
)
1866 isl_val_free(bound
->stride
);
1867 bound
->stride
= isl_val_copy(stride
);
1869 space
= isl_constraint_get_space(c
);
1870 space
= isl_space_domain(space
);
1872 nparam
= isl_space_dim(space
, isl_dim_param
);
1873 nvar
= isl_space_dim(space
, isl_dim_set
);
1875 v
= isl_constraint_get_constant_val(c
);
1878 aff
= isl_aff_zero_on_domain(isl_local_space_from_space(space
));
1879 aff
= isl_aff_set_constant_val(aff
, v
);
1881 for (i
= 0; i
< nparam
; ++i
) {
1882 if (!isl_constraint_involves_dims(c
, isl_dim_param
, i
, 1))
1884 v
= isl_constraint_get_coefficient_val(c
, isl_dim_param
, i
);
1887 aff
= isl_aff_add_coefficient_val(aff
, isl_dim_param
, i
, v
);
1890 for (i
= 0; i
< nvar
; ++i
) {
1891 if (!isl_constraint_involves_dims(c
, isl_dim_in
, i
, 1))
1893 v
= isl_constraint_get_coefficient_val(c
, isl_dim_in
, i
);
1896 aff
= isl_aff_add_coefficient_val(aff
, isl_dim_in
, i
, v
);
1902 /* Given an equality constraint of a map with a single output dimension j,
1903 * check if the constraint is of the form
1905 * a(p,i) + j = g f(e)
1907 * with a(p,i) an expression in the parameters and input dimensions
1908 * and f(e) an expression in the existentially quantified variables.
1909 * If so, and if g is larger than any such g from a previously considered
1910 * constraint, then call extract_stride to record the stride information
1913 static int check_stride_constraint(__isl_take isl_constraint
*c
, void *user
)
1919 struct gpu_array_bound
*bound
= user
;
1921 ctx
= isl_constraint_get_ctx(c
);
1922 n_div
= isl_constraint_dim(c
, isl_dim_div
);
1923 v
= isl_constraint_get_coefficient_val(c
, isl_dim_out
, 0);
1925 if (n_div
&& (isl_val_is_one(v
) || isl_val_is_negone(v
))) {
1926 int s
= isl_val_sgn(v
);
1927 isl_val
*stride
= isl_val_zero(ctx
);
1930 for (i
= 0; i
< n_div
; ++i
) {
1931 v
= isl_constraint_get_coefficient_val(c
,
1933 stride
= isl_val_gcd(stride
, v
);
1935 if (!isl_val_is_zero(stride
) &&
1936 isl_val_gt(stride
, bound
->stride
))
1937 extract_stride(c
, bound
, stride
, s
);
1939 isl_val_free(stride
);
1943 isl_constraint_free(c
);
1947 /* Given contraints on an array index i, check if we can find
1948 * a shift a(p) and a stride g such that
1950 * a(p) + i = 0 mod g
1952 * If so, record the information in bound and apply the mapping
1953 * i -> (i + a(p))/g to the array index in bounds and return
1954 * the new constraints.
1955 * If not, simply return the original constraints.
1957 * If bounds is a subset of the space
1961 * then the bound recorded in bound->shift is of the form
1965 * with s(D) equal to a(p) above.
1966 * The mapping recorded in bound->shift_map is of the form
1968 * [D -> i] -> [D -> (i + S(D))/g]
1970 * This mapping is computed as follows.
1971 * We first introduce "i" in the domain through precomposition
1972 * with [D -> i] -> D obtaining
1976 * Adding [D -> i] -> i produces
1978 * [D -> i] -> i + s(D)
1980 * and the domain product with [D -> i] -> D yields
1982 * [D -> i] -> [D -> i + s(D)]
1984 * Composition with [D -> i] -> [D -> i/g] gives the desired result.
1986 static __isl_give isl_basic_map
*check_stride(struct gpu_array_bound
*bound
,
1987 __isl_take isl_basic_map
*bounds
)
1990 isl_basic_map
*hull
;
1991 isl_basic_map
*shift
, *id
, *bmap
, *scale
;
1992 isl_basic_set
*bset
;
1995 bound
->stride
= NULL
;
1997 hull
= isl_basic_map_affine_hull(isl_basic_map_copy(bounds
));
1999 isl_basic_map_foreach_constraint(hull
, &check_stride_constraint
, bound
);
2001 isl_basic_map_free(hull
);
2006 shift
= isl_basic_map_from_aff(isl_aff_copy(bound
->shift
));
2007 space
= isl_basic_map_get_space(bounds
);
2008 bmap
= isl_basic_map_domain_map(isl_basic_map_universe(space
));
2009 shift
= isl_basic_map_apply_range(bmap
, shift
);
2010 space
= isl_basic_map_get_space(bounds
);
2011 id
= isl_basic_map_range_map(isl_basic_map_universe(space
));
2012 shift
= isl_basic_map_sum(id
, shift
);
2013 space
= isl_basic_map_get_space(bounds
);
2014 id
= isl_basic_map_domain_map(isl_basic_map_universe(space
));
2015 shift
= isl_basic_map_range_product(id
, shift
);
2017 space
= isl_space_domain(isl_basic_map_get_space(bounds
));
2018 id
= isl_basic_map_identity(isl_space_map_from_set(space
));
2019 space
= isl_space_range(isl_basic_map_get_space(bounds
));
2020 aff
= isl_aff_zero_on_domain(isl_local_space_from_space(space
));
2021 aff
= isl_aff_add_coefficient_si(aff
, isl_dim_in
, 0, 1);
2022 aff
= isl_aff_scale_down_val(aff
, isl_val_copy(bound
->stride
));
2023 scale
= isl_basic_map_from_aff(aff
);
2024 scale
= isl_basic_map_product(id
, scale
);
2026 bound
->shift_map
= isl_basic_map_apply_range(shift
, scale
);
2027 bmap
= isl_basic_map_copy(bound
->shift_map
);
2028 bset
= isl_basic_set_apply(isl_basic_map_wrap(bounds
), bmap
);
2029 bounds
= isl_basic_set_unwrap(bset
);
2034 /* Data used in compute_array_dim_size and compute_size_in_direction.
2036 * pos is the position of the variable representing the array index,
2037 * i.e., the variable for which want to compute the size. This variable
2038 * is also the last variable in the set.
2040 struct gpu_size_info
{
2041 isl_basic_set
*bset
;
2042 struct gpu_array_bound
*bound
;
2046 /* Given a constraint from the basic set describing the bounds on
2047 * an array index, check if it is a lower bound, say m i >= b(x), and,
2048 * if so, check whether the expression "i - ceil(b(x)/m) + 1" has a constant
2049 * upper bound. If so, and if this bound is smaller than any bound
2050 * derived from earlier constraints, set the size to this bound on
2051 * the expression and the lower bound to ceil(b(x)/m).
2053 static int compute_size_in_direction(__isl_take isl_constraint
*c
, void *user
)
2055 struct gpu_size_info
*size
= user
;
2062 nparam
= isl_basic_set_dim(size
->bset
, isl_dim_param
);
2063 n_div
= isl_constraint_dim(c
, isl_dim_div
);
2065 if (isl_constraint_involves_dims(c
, isl_dim_div
, 0, n_div
) ||
2066 !isl_constraint_is_lower_bound(c
, isl_dim_set
, size
->pos
)) {
2067 isl_constraint_free(c
);
2071 aff
= isl_constraint_get_bound(c
, isl_dim_set
, size
->pos
);
2072 aff
= isl_aff_ceil(aff
);
2074 lb
= isl_aff_copy(aff
);
2076 aff
= isl_aff_neg(aff
);
2077 aff
= isl_aff_add_coefficient_si(aff
, isl_dim_in
, size
->pos
, 1);
2079 v
= isl_basic_set_max_val(size
->bset
, aff
);
2082 if (isl_val_is_int(v
)) {
2083 v
= isl_val_add_ui(v
, 1);
2084 if (!size
->bound
->size
|| isl_val_lt(v
, size
->bound
->size
)) {
2085 isl_val_free(size
->bound
->size
);
2086 size
->bound
->size
= isl_val_copy(v
);
2087 lb
= isl_aff_drop_dims(lb
, isl_dim_in
, size
->pos
, 1);
2088 isl_aff_free(size
->bound
->lb
);
2089 size
->bound
->lb
= isl_aff_copy(lb
);
2095 isl_constraint_free(c
);
2100 /* Given a basic map "bounds" that maps parameters and input dimensions
2101 * to a single output dimension, look for an expression in the parameters
2102 * and input dimensions such that the range of the output dimension shifted
2103 * by this expression is a constant.
2105 * In particular, we currently only consider lower bounds on the output
2106 * dimension as candidate expressions.
2108 static int compute_array_dim_size(struct gpu_array_bound
*bound
,
2109 __isl_take isl_basic_map
*bounds
)
2111 struct gpu_size_info size
;
2113 bounds
= isl_basic_map_detect_equalities(bounds
);
2114 bounds
= check_stride(bound
, bounds
);
2120 size
.pos
= isl_basic_map_dim(bounds
, isl_dim_in
);
2121 size
.bset
= isl_basic_map_wrap(bounds
);
2122 size
.bset
= isl_basic_set_flatten(size
.bset
);
2123 size
.bset
= isl_set_simple_hull(isl_basic_set_compute_divs(size
.bset
));
2124 isl_basic_set_foreach_constraint(size
.bset
, &compute_size_in_direction
,
2126 isl_basic_set_free(size
.bset
);
2128 return bound
->size
? 0 : -1;
2131 /* Check if we can find a memory tile for the given array
2132 * based on the given accesses, and if so, put the results in "tile".
2134 * We project the accesses on each index in turn and look for a parametric
2135 * offset such that the size is constant.
2137 static int can_tile(__isl_keep isl_map
*access
, struct gpu_array_tile
*tile
)
2141 for (i
= 0; i
< tile
->n
; ++i
) {
2143 isl_basic_map
*hull
;
2145 access_i
= isl_map_copy(access
);
2146 access_i
= isl_map_project_out(access_i
, isl_dim_out
, 0, i
);
2147 access_i
= isl_map_project_out(access_i
, isl_dim_out
,
2148 1, tile
->n
- (i
+ 1));
2149 access_i
= isl_map_compute_divs(access_i
);
2150 hull
= isl_map_simple_hull(access_i
);
2151 if (compute_array_dim_size(&tile
->bound
[i
], hull
) < 0)
2158 /* Construct a map with input the shared tile loops and the loops that
2159 * will be wrapped around the threads that relates these later loops
2160 * to the thread indices and then projects them out.
2162 static __isl_give isl_map
*compute_privatization(struct gpu_gen
*gen
)
2170 dim
= isl_union_map_get_space(gen
->shared_sched
);
2172 if (gen
->options
->wrap
)
2173 tiling
= wrap(isl_space_copy(dim
), gen
->shared_len
+ gen
->n_block
,
2174 gen
->shared_len
, gen
->n_block
, gen
->block_dim
);
2176 tiling
= tile(isl_space_copy(dim
), gen
->shared_len
+ gen
->n_block
,
2177 gen
->shared_len
, gen
->n_block
, gen
->block_dim
);
2181 par
= parametrization(dim
, gen
->shared_len
+ 2 * gen
->n_block
,
2182 gen
->tile_first
+ gen
->tile_len
+ gen
->n_grid
+ gen
->n_block
,
2185 priv
= isl_map_align_params(priv
, isl_set_get_space(par
));
2186 priv
= isl_map_intersect_range(priv
, par
);
2188 dim
= isl_map_get_space(priv
);
2189 dim
= isl_space_drop_dims(dim
, isl_dim_in
, 0, isl_space_dim(dim
, isl_dim_in
));
2190 dim
= isl_space_drop_dims(dim
, isl_dim_out
, 0, isl_space_dim(dim
, isl_dim_out
));
2191 proj
= projection(dim
, gen
->shared_len
+ 2 * gen
->n_block
,
2194 priv
= isl_map_apply_range(priv
, proj
);
2199 /* Construct a map from domain_dim to domain_dim that increments
2200 * the dimension at position "pos" and leaves all other dimensions
2203 static __isl_give isl_map
*next(__isl_take isl_space
*domain_dim
, int pos
)
2206 int len
= isl_space_dim(domain_dim
, isl_dim_set
);
2208 isl_basic_map
*next
;
2209 isl_local_space
*ls
;
2211 dim
= isl_space_map_from_set(domain_dim
);
2212 next
= isl_basic_map_universe(isl_space_copy(dim
));
2213 ls
= isl_local_space_from_space(dim
);
2215 for (i
= 0; i
< len
; ++i
) {
2218 c
= isl_equality_alloc(isl_local_space_copy(ls
));
2219 c
= isl_constraint_set_coefficient_si(c
, isl_dim_in
, i
, 1);
2220 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, i
, -1);
2222 c
= isl_constraint_set_constant_si(c
, 1);
2223 next
= isl_basic_map_add_constraint(next
, c
);
2226 isl_local_space_free(ls
);
2228 return isl_map_from_basic_map(next
);
2231 /* Check if the given access is coalesced.
2232 * That is, check whether incrementing the dimension that will get
2233 * wrapped over the last thread index results in incrementing
2234 * the last array index.
2236 * This function is only called for access relations without reuse.
2238 static int access_is_coalesced(struct gpu_gen
*gen
,
2239 __isl_keep isl_union_map
*access
)
2242 isl_map
*access_map
;
2243 isl_map
*next_thread_x
;
2244 isl_map
*next_element
;
2248 access
= isl_union_map_copy(access
);
2249 access
= isl_union_map_apply_domain(access
,
2250 isl_union_map_copy(gen
->tiled_sched
));
2251 access_map
= isl_map_from_union_map(access
);
2253 dim
= isl_map_get_space(access_map
);
2254 dim
= isl_space_domain(dim
);
2255 next_thread_x
= next(dim
, gen
->shared_len
+ gen
->n_block
- 1);
2257 dim
= isl_map_get_space(access_map
);
2258 dim
= isl_space_range(dim
);
2259 next_element
= next(dim
, isl_space_dim(dim
, isl_dim_set
) - 1);
2261 map
= isl_map_apply_domain(next_thread_x
, isl_map_copy(access_map
));
2262 map
= isl_map_apply_range(map
, access_map
);
2264 coalesced
= isl_map_is_subset(map
, next_element
);
2266 isl_map_free(next_element
);
2272 /* Given an access relation in terms of the first gen->shared_len + gen->n_block
2273 * dimensions of the computed schedule, check if it is bijective for
2274 * fixed values of the first gen->shared_len dimensions.
2275 * We perform this check by equating these dimensions to parameters.
2277 static int access_is_bijective(struct gpu_gen
*gen
, __isl_keep isl_map
*access
)
2283 access
= isl_map_copy(access
);
2284 space
= isl_space_params(isl_map_get_space(access
));
2285 par
= parametrization(space
, gen
->shared_len
+ gen
->n_block
,
2286 0, gen
->shared_len
, "s");
2287 access
= isl_map_intersect_domain(access
, par
);
2288 res
= isl_map_is_bijective(access
);
2289 isl_map_free(access
);
2294 /* Look for the last shared tile loop that affects the offset of "tile"
2295 * and return the result.
2296 * If there is no such loop, then return the index of the loop
2297 * before the first shared tile loop, in particular gen->tile_first - 1.
2299 static int compute_tile_last_shared(struct gpu_gen
*gen
,
2300 struct gpu_array_tile
*tile
)
2304 for (j
= gen
->shared_len
- 1; j
>= gen
->tile_first
; --j
) {
2305 for (i
= 0; i
< tile
->n
; ++i
) {
2309 lb
= tile
->bound
[i
].lb
;
2310 if (isl_aff_involves_dims(lb
, isl_dim_in
, j
, 1))
2313 shift
= tile
->bound
[i
].shift
;
2316 if (isl_aff_involves_dims(shift
, isl_dim_in
, j
, 1))
2326 /* Look for the last shared tile loop that affects the offset of the
2327 * shared or private tile and store the result in group->last_shared.
2328 * If there is no such loop, then group->last_shared is set to a value
2329 * before the first shared tile loop, in particular gen->tile_first - 1.
2330 * If there is no tile defined on the array reference group,
2331 * then set group->last_shared to gen->shared_len - 1.
2333 static void set_last_shared(struct gpu_gen
*gen
,
2334 struct gpu_array_ref_group
*group
)
2336 struct gpu_array_tile
*tile
;
2338 group
->last_shared
= gen
->shared_len
- 1;
2340 tile
= group
->private_tile
;
2342 tile
= group
->shared_tile
;
2346 group
->last_shared
= compute_tile_last_shared(gen
, tile
);
2349 /* Compute a privatized copy of all access relations from reference groups that
2350 * are mapped to private memory and store the result in gen->privatization.
2352 * Read-only scalars and arrays containing structures are not mapped
2353 * to private memory.
2355 static void compute_private_access(struct gpu_gen
*gen
)
2358 isl_union_map
*private;
2360 if (!gen
->options
->use_private_memory
)
2363 private = isl_union_map_empty(isl_union_map_get_space(gen
->shared_sched
));
2365 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
2366 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
2368 if (gpu_array_is_read_only_scalar(array
))
2370 if (array
->has_compound_element
)
2373 for (j
= 0; j
< array
->n_group
; ++j
) {
2374 if (!array
->groups
[j
]->private_tile
)
2377 private = isl_union_map_union(private,
2378 group_access_relation(array
->groups
[j
], 1, 1));
2382 if (isl_union_map_is_empty(private))
2383 isl_union_map_free(private);
2385 isl_union_map
*priv
;
2387 private = isl_union_map_apply_domain(private,
2388 isl_union_map_copy(gen
->shared_sched
));
2389 priv
= isl_union_map_from_map(isl_map_copy(gen
->privatization
));
2390 private = isl_union_map_apply_domain(private, priv
);
2391 gen
->private_access
= private;
2395 /* Compute the size of the tile specified by "tile"
2396 * in number of elements and return the result.
2398 static __isl_give isl_val
*tile_size(isl_ctx
*ctx
, struct gpu_array_tile
*tile
)
2403 size
= isl_val_one(ctx
);
2405 for (i
= 0; i
< tile
->n
; ++i
)
2406 size
= isl_val_mul(size
, isl_val_copy(tile
->bound
[i
].size
));
2411 /* If max_shared_memory is not set to infinity (-1), then make
2412 * sure that the total amount of shared memory required by the
2413 * array reference groups mapped to shared memory is no larger
2414 * than this maximum.
2416 * We apply a greedy approach and discard (keep in global memory)
2417 * those groups that would result in a total memory size that
2418 * is larger than the maximum.
2420 * This function should be called after any function that may
2421 * affect the decision on whether to place a reference group
2422 * in private, shared or global memory.
2424 static void check_shared_memory_bound(struct gpu_gen
*gen
)
2427 isl_val
*left
, *size
;
2429 if (gen
->options
->max_shared_memory
< 0)
2432 left
= isl_val_int_from_si(gen
->ctx
, gen
->options
->max_shared_memory
);
2434 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
2435 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
2437 for (j
= 0; j
< array
->n_group
; ++j
) {
2438 struct gpu_array_ref_group
*group
;
2440 group
= array
->groups
[j
];
2441 if (group
->private_tile
)
2443 if (!group
->shared_tile
)
2446 size
= tile_size(gen
->ctx
, group
->shared_tile
);
2447 size
= isl_val_mul_ui(size
, array
->size
);
2449 if (isl_val_le(size
, left
)) {
2450 left
= isl_val_sub(left
, size
);
2455 group
->shared_tile
= free_tile(group
->shared_tile
);
2462 /* Given a description of an array tile "tile" and the "space"
2466 * where D represents the first shared_len schedule dimensions
2467 * and A represents the array, construct an isl_multi_aff
2469 * { [D[i] -> A[a]] -> A'[a'] }
2471 * with A' a scaled down copy of A according to the shifts and strides
2472 * in "tile". In particular,
2474 * a' = (a + shift(i))/stride
2476 * "insert_array" represents
2480 * and is used to insert A into the domain of functions that only
2483 static __isl_give isl_multi_aff
*strided_tile(
2484 struct gpu_array_tile
*tile
, __isl_keep isl_space
*space
,
2485 __isl_keep isl_multi_aff
*insert_array
)
2489 isl_multi_aff
*shift
;
2490 isl_multi_val
*stride
;
2492 isl_local_space
*ls
;
2493 isl_multi_aff
*tiling
;
2495 ctx
= isl_space_get_ctx(space
);
2496 space2
= isl_space_domain(isl_space_copy(space
));
2497 ls
= isl_local_space_from_space(space2
);
2498 space2
= isl_space_range(isl_space_copy(space
));
2499 stride
= isl_multi_val_zero(space2
);
2500 shift
= isl_multi_aff_zero(isl_space_copy(space
));
2502 for (i
= 0; i
< tile
->n
; ++i
) {
2503 struct gpu_array_bound
*bound
= &tile
->bound
[i
];
2507 if (tile
->bound
[i
].shift
) {
2508 stride_i
= isl_val_copy(bound
->stride
);
2509 shift_i
= isl_aff_copy(bound
->shift
);
2511 stride_i
= isl_val_one(ctx
);
2512 shift_i
= isl_aff_zero_on_domain(
2513 isl_local_space_copy(ls
));
2516 stride
= isl_multi_val_set_val(stride
, i
, stride_i
);
2517 shift
= isl_multi_aff_set_aff(shift
, i
, shift_i
);
2519 isl_local_space_free(ls
);
2521 shift
= isl_multi_aff_pullback_multi_aff(shift
,
2522 isl_multi_aff_copy(insert_array
));
2524 tiling
= isl_multi_aff_range_map(isl_space_copy(space
));
2525 tiling
= isl_multi_aff_add(tiling
, shift
);
2526 tiling
= isl_multi_aff_scale_down_multi_val(tiling
, stride
);
2531 /* Compute a tiling for the array reference group "group".
2533 * The tiling is of the form
2535 * { [D[i] -> A[a]] -> T[t] }
2537 * where D represents the first shared_len schedule dimensions,
2538 * A represents the global array and T represents the shared or
2539 * private memory tile. The name of T is the name of the local
2542 * If there is any stride in the accesses, then the mapping is
2544 * t = (a + shift(i))/stride - lb(i)
2546 * otherwise, it is simply
2550 static void compute_group_tiling(struct gpu_array_ref_group
*group
)
2553 struct gpu_array_tile
*tile
;
2554 struct gpu_array_info
*array
= group
->array
;
2556 isl_multi_aff
*tiling
, *lb
, *insert_array
;
2560 tile
= group
->private_tile
;
2562 tile
= group
->shared_tile
;
2566 space
= isl_map_get_space(group
->access
);
2567 insert_array
= isl_multi_aff_domain_map(isl_space_copy(space
));
2569 for (i
= 0; i
< tile
->n
; ++i
)
2570 if (tile
->bound
[i
].shift
)
2574 tiling
= strided_tile(tile
, space
, insert_array
);
2576 tiling
= isl_multi_aff_range_map(isl_space_copy(space
));
2578 lb
= isl_multi_aff_zero(space
);
2579 for (i
= 0; i
< tile
->n
; ++i
) {
2580 isl_aff
*lb_i
= isl_aff_copy(tile
->bound
[i
].lb
);
2581 lb
= isl_multi_aff_set_aff(lb
, i
, lb_i
);
2583 lb
= isl_multi_aff_pullback_multi_aff(lb
, insert_array
);
2585 tiling
= isl_multi_aff_sub(tiling
, lb
);
2587 p
= isl_printer_to_str(isl_multi_aff_get_ctx(tiling
));
2588 p
= print_array_name(p
, group
);
2589 local_name
= isl_printer_get_str(p
);
2590 isl_printer_free(p
);
2591 tiling
= isl_multi_aff_set_tuple_name(tiling
, isl_dim_out
, local_name
);
2594 tile
->tiling
= tiling
;
2597 /* Compute a tiling for all the array reference groups.
2599 static void compute_group_tilings(struct gpu_gen
*gen
)
2603 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
2604 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
2606 for (j
= 0; j
< array
->n_group
; ++j
)
2607 compute_group_tiling(array
->groups
[j
]);
2611 /* Fill up the groups array with singleton groups, i.e., one group
2612 * per reference, initializing the array, access, write, n_ref and refs fields.
2613 * In particular the access field is initialized to the scheduled
2614 * access relation of the array reference.
2616 * Return the number of elements initialized, i.e., the number of
2617 * active references in the current kernel.
2619 static int populate_array_references(struct gpu_array_info
*array
,
2620 __isl_keep isl_union_map
*sched
, struct gpu_array_ref_group
**groups
)
2624 isl_ctx
*ctx
= isl_union_map_get_ctx(sched
);
2627 for (i
= 0; i
< array
->n_ref
; ++i
) {
2628 isl_union_map
*umap
;
2630 struct gpu_array_ref_group
*group
;
2631 struct gpu_stmt_access
*access
= array
->refs
[i
];
2633 map
= isl_map_copy(access
->access
);
2634 umap
= isl_union_map_from_map(map
);
2635 umap
= isl_union_map_apply_domain(umap
,
2636 isl_union_map_copy(sched
));
2638 if (isl_union_map_is_empty(umap
)) {
2639 isl_union_map_free(umap
);
2643 map
= isl_map_from_union_map(umap
);
2644 map
= isl_map_detect_equalities(map
);
2646 group
= isl_calloc_type(ctx
, struct gpu_array_ref_group
);
2648 group
->array
= array
;
2649 group
->access
= map
;
2650 group
->write
= access
->write
;
2651 group
->exact_write
= access
->exact_write
;
2652 group
->slice
= access
->n_index
< array
->n_index
;
2653 group
->refs
= &array
->refs
[i
];
2656 groups
[n
++] = group
;
2662 /* If group->n_ref == 1, then group->refs was set by
2663 * populate_array_references to point directly into
2664 * group->array->refs and should not be freed.
2665 * If group->n_ref > 1, then group->refs was set by join_groups
2666 * to point to a newly allocated array.
2668 static void free_array_ref_group(struct gpu_array_ref_group
*group
)
2672 free_tile(group
->shared_tile
);
2673 free_tile(group
->private_tile
);
2674 isl_map_free(group
->access
);
2675 if (group
->n_ref
> 1)
2680 /* Given a map where the input dimensions represent the tile loops,
2681 * eliminate the innermost of those that have a fixed value
2682 * until we reach one that does not (obviously) have a fixed value.
2684 static __isl_give isl_map
*eliminate_fixed_inner_loops(
2685 __isl_take isl_map
*access
)
2689 n
= isl_map_dim(access
, isl_dim_in
);
2691 for (i
= n
- 1; i
>= 0; --i
) {
2692 if (!map_plain_is_fixed(access
, isl_dim_in
, i
))
2694 access
= isl_map_eliminate(access
, isl_dim_in
, i
, 1);
2699 /* Check if the access relations of group1 and group2 overlap within
2700 * the innermost loop. In particular, ignore any inner dimension
2701 * with a fixed value.
2702 * The copying to and from shared memory will be performed within
2703 * the innermost actual loop so we are only allowed to consider
2704 * the dimensions up to that innermost loop while checking whether
2705 * two access relations overlap.
2707 static int accesses_overlap(struct gpu_array_ref_group
*group1
,
2708 struct gpu_array_ref_group
*group2
)
2711 isl_map
*access1
, *access2
;
2713 access1
= isl_map_copy(group1
->access
);
2714 access1
= eliminate_fixed_inner_loops(access1
);
2715 access2
= isl_map_copy(group2
->access
);
2716 access2
= eliminate_fixed_inner_loops(access2
);
2717 access1
= isl_map_intersect(access1
, access2
);
2718 empty
= isl_map_is_empty(access1
);
2719 isl_map_free(access1
);
2724 /* Combine the given two groups into a single group, containing
2725 * the references of both groups.
2727 static struct gpu_array_ref_group
*join_groups(
2728 struct gpu_array_ref_group
*group1
,
2729 struct gpu_array_ref_group
*group2
)
2733 struct gpu_array_ref_group
*group
;
2735 ctx
= isl_map_get_ctx(group1
->access
);
2736 group
= isl_calloc_type(ctx
, struct gpu_array_ref_group
);
2738 group
->array
= group1
->array
;
2739 group
->access
= isl_map_union(isl_map_copy(group1
->access
),
2740 isl_map_copy(group2
->access
));
2741 group
->write
= group1
->write
|| group2
->write
;
2742 group
->exact_write
= group1
->exact_write
&& group2
->exact_write
;
2743 group
->slice
= group1
->slice
|| group2
->slice
;
2744 group
->n_ref
= group1
->n_ref
+ group2
->n_ref
;
2745 group
->refs
= isl_alloc_array(ctx
, struct gpu_stmt_access
*,
2747 assert(group
->refs
);
2748 for (i
= 0; i
< group1
->n_ref
; ++i
)
2749 group
->refs
[i
] = group1
->refs
[i
];
2750 for (i
= 0; i
< group2
->n_ref
; ++i
)
2751 group
->refs
[group1
->n_ref
+ i
] = group2
->refs
[i
];
2756 /* Combine the given two groups into a single group and free
2757 * the original two groups.
2759 static struct gpu_array_ref_group
*join_groups_and_free(
2760 struct gpu_array_ref_group
*group1
,
2761 struct gpu_array_ref_group
*group2
)
2763 struct gpu_array_ref_group
*group
;
2765 group
= join_groups(group1
, group2
);
2766 free_array_ref_group(group1
);
2767 free_array_ref_group(group2
);
2771 /* Compute the private and/or shared memory tiles for the array
2772 * reference group "group" of array "array".
2773 * Return 0 on success and -1 on error.
2775 * If the array is a read-only scalar or if the user requested
2776 * not to use shared or private memory, then we do not need to do anything.
2778 * If any reference in the reference group accesses more than one element,
2779 * then we would have to make sure that the layout in shared memory
2780 * is the same as that in global memory. Since we do not handle this yet
2781 * (and it may not even be possible), we refuse to map to private or
2782 * shared memory in such cases.
2784 * If the array group involves any may writes (that are not must writes),
2785 * then we would have to make sure that we load the data into shared/private
2786 * memory first in case the data is not written by the kernel
2787 * (but still written back out to global memory).
2788 * Since we don't have any such mechanism at the moment, we don't
2789 * compute shared/private tiles for groups involving may writes.
2791 * We only try to compute a shared memory tile if there is any reuse
2792 * or if the access is not coalesced.
2794 * For computing a private memory tile, we also require that there is
2795 * some reuse. Moreover, we require that the access is private
2796 * to the thread. That is, we check that any given array element
2797 * is only accessed by a single thread.
2798 * We compute an access relation that maps the shared tile loop iterators
2799 * and the shared point loop iterators that will be wrapped over the
2800 * threads to the array elements.
2801 * We actually check that those iterators that will be wrapped
2802 * partition the array space. This check is stricter than necessary
2803 * since several iterations may be mapped onto the same thread
2804 * and then they could be allowed to access the same memory elements,
2805 * but our check does not allow this situation.
2807 * We also check that the index expression only depends on parallel
2808 * loops. That way, we can move those loops innermost and unroll them.
2809 * Again, we use a test that is stricter than necessary.
2810 * We actually check whether the index expression only depends
2811 * on the iterators that are wrapped over the threads.
2812 * These are necessarily parallel, but there may be more parallel loops.
2814 * Combining the injectivity of the first test with the single-valuedness
2815 * of the second test, we simply test for bijectivity.
2817 * If the array is marked force_private, then we bypass all checks
2818 * and assume we can (and should) use registers.
2820 * If it turns out we can (or have to) use registers, we compute
2821 * the private memory tile size using can_tile, after introducing a dependence
2822 * on the thread indices.
2824 static int compute_group_bounds_core(struct gpu_gen
*gen
,
2825 struct gpu_array_ref_group
*group
)
2827 isl_ctx
*ctx
= isl_space_get_ctx(group
->array
->space
);
2828 isl_union_map
*access
;
2829 int n_index
= group
->array
->n_index
;
2832 int force_private
= group
->array
->force_private
;
2833 int use_shared
= gen
->options
->use_shared_memory
;
2834 int use_private
= force_private
|| gen
->options
->use_private_memory
;
2836 if (!use_shared
&& !use_private
)
2838 if (gpu_array_is_read_only_scalar(group
->array
))
2840 if (!force_private
&& !group
->exact_write
)
2845 access
= group_access_relation(group
, 1, 1);
2846 no_reuse
= isl_union_map_is_injective(access
);
2848 if (use_shared
&& (!no_reuse
|| !access_is_coalesced(gen
, access
))) {
2849 group
->shared_tile
= create_tile(ctx
, group
->array
->n_index
);
2850 if (!can_tile(group
->access
, group
->shared_tile
))
2851 group
->shared_tile
= free_tile(group
->shared_tile
);
2854 if (!force_private
&& (!use_private
|| no_reuse
)) {
2855 isl_union_map_free(access
);
2859 access
= isl_union_map_apply_domain(access
,
2860 isl_union_map_copy(gen
->shared_sched
));
2862 acc
= isl_map_from_union_map(access
);
2864 if (!force_private
&& !access_is_bijective(gen
, acc
)) {
2869 group
->private_tile
= create_tile(gen
->ctx
, n_index
);
2870 acc
= isl_map_apply_domain(acc
, isl_map_copy(gen
->privatization
));
2871 if (!can_tile(acc
, group
->private_tile
))
2872 group
->private_tile
= free_tile(group
->private_tile
);
2876 if (force_private
&& !group
->private_tile
)
2877 isl_die(ctx
, isl_error_internal
,
2878 "unable to map array reference group to registers",
2884 /* Compute the private and/or shared memory tiles for the array
2885 * reference group "group" of array "array" and set last_shared.
2886 * Return 0 on success and -1 on error.
2888 static int compute_group_bounds(struct gpu_gen
*gen
,
2889 struct gpu_array_ref_group
*group
)
2891 if (compute_group_bounds_core(gen
, group
) < 0)
2893 set_last_shared(gen
, group
);
2898 /* If two groups have overlapping access relations (as determined by
2899 * the "overlap" function) and if one of them involves a write,
2900 * then merge the two groups into one.
2901 * If "compute_bounds" is set, then call compute_group_bounds
2902 * on the merged groups.
2904 * Return the updated number of groups.
2905 * Return -1 on error.
2907 static int group_writes(struct gpu_gen
*gen
,
2908 int n
, struct gpu_array_ref_group
**groups
,
2909 int (*overlap
)(struct gpu_array_ref_group
*group1
,
2910 struct gpu_array_ref_group
*group2
), int compute_bounds
)
2914 for (i
= 0; i
< n
; ++i
) {
2915 for (j
= n
- 1; j
> i
; --j
) {
2916 if (!groups
[i
]->write
&& !groups
[j
]->write
)
2919 if (!overlap(groups
[i
], groups
[j
]))
2922 groups
[i
] = join_groups_and_free(groups
[i
], groups
[j
]);
2923 if (compute_bounds
&&
2924 compute_group_bounds(gen
, groups
[i
]) < 0)
2927 groups
[j
] = groups
[n
- 1];
2928 groups
[n
- 1] = NULL
;
2936 /* If two groups have overlapping access relations (within the innermost
2937 * loop) and if one of them involves a write, then merge the two groups
2940 * Return the updated number of groups.
2942 static int group_overlapping_writes(struct gpu_gen
*gen
,
2943 int n
, struct gpu_array_ref_group
**groups
)
2945 return group_writes(gen
, n
, groups
, &accesses_overlap
, 0);
2948 /* Check if the access relations of group1 and group2 overlap within
2949 * the outermost min(group1->last_shared, group2->last_shared) loops.
2951 static int last_shared_accesses_overlap(struct gpu_array_ref_group
*group1
,
2952 struct gpu_array_ref_group
*group2
)
2957 isl_map
*map_i
, *map_j
, *map
;
2959 last_shared
= group1
->last_shared
;
2960 if (group2
->last_shared
< last_shared
)
2961 last_shared
= group2
->last_shared
;
2962 map_i
= isl_map_copy(group1
->access
);
2963 dim
= isl_map_dim(map_i
, isl_dim_in
);
2964 map_i
= isl_map_eliminate(map_i
, isl_dim_in
,
2965 last_shared
+ 1, dim
- (last_shared
+ 1));
2966 map_j
= isl_map_copy(group2
->access
);
2967 map_j
= isl_map_eliminate(map_j
, isl_dim_in
,
2968 last_shared
+ 1, dim
- (last_shared
+ 1));
2969 map
= isl_map_intersect(map_i
, map_j
);
2970 empty
= isl_map_is_empty(map
);
2976 /* If two groups have overlapping access relations (within the outer
2977 * last_shared loops) and if one of them involves a write,
2978 * then merge the two groups into one.
2980 * Return the updated number of groups.
2982 static int group_last_shared_overlapping_writes(struct gpu_gen
*gen
, int n
,
2983 struct gpu_array_ref_group
**groups
)
2985 return group_writes(gen
, n
, groups
, &last_shared_accesses_overlap
, 1);
2988 /* Is the size of the tile specified by "tile" smaller than the sum of
2989 * the sizes of the tiles specified by "tile1" and "tile2"?
2991 static int smaller_tile(isl_ctx
*ctx
, struct gpu_array_tile
*tile
,
2992 struct gpu_array_tile
*tile1
, struct gpu_array_tile
*tile2
)
2995 isl_val
*size
, *size1
, *size2
;
2997 size
= tile_size(ctx
, tile
);
2998 size1
= tile_size(ctx
, tile1
);
2999 size2
= tile_size(ctx
, tile2
);
3001 size
= isl_val_sub(size
, size1
);
3002 size
= isl_val_sub(size
, size2
);
3003 smaller
= isl_val_is_neg(size
);
3010 /* Given an initial grouping of array references and shared memory tiles
3011 * for each group that allows for a shared memory tile, merge two groups
3012 * if both have a shared memory tile, the merged group also has
3013 * a shared memory tile and the size of the tile for the merge group
3014 * is smaller than the sum of the tile sizes of the individual groups.
3016 * If merging two groups decreases the "last_shared" dimension of
3017 * one or both of the two groups, then we need to check for overlapping
3020 * Return the number of groups after merging.
3021 * Return -1 on error.
3023 static int group_common_shared_memory_tile(struct gpu_gen
*gen
,
3024 struct gpu_array_info
*array
, int n
,
3025 struct gpu_array_ref_group
**groups
)
3028 int recompute_overlap
= 0;
3029 isl_ctx
*ctx
= isl_space_get_ctx(array
->space
);
3031 for (i
= 0; i
< n
; ++i
) {
3032 if (!groups
[i
]->shared_tile
)
3034 for (j
= n
- 1; j
> i
; --j
) {
3037 struct gpu_array_ref_group
*group
;
3039 if (!groups
[j
]->shared_tile
)
3042 map
= isl_map_intersect(isl_map_copy(groups
[i
]->access
),
3043 isl_map_copy(groups
[j
]->access
));
3044 empty
= isl_map_is_empty(map
);
3050 group
= join_groups(groups
[i
], groups
[j
]);
3051 if (compute_group_bounds(gen
, group
) < 0) {
3052 free_array_ref_group(group
);
3055 if (!group
->shared_tile
||
3056 !smaller_tile(ctx
, group
->shared_tile
,
3057 groups
[i
]->shared_tile
,
3058 groups
[j
]->shared_tile
)) {
3059 free_array_ref_group(group
);
3063 if (group
->last_shared
< groups
[i
]->last_shared
||
3064 group
->last_shared
< groups
[j
]->last_shared
)
3065 recompute_overlap
= 1;
3066 free_array_ref_group(groups
[i
]);
3067 free_array_ref_group(groups
[j
]);
3070 groups
[j
] = groups
[n
- 1];
3075 if (recompute_overlap
)
3076 n
= group_last_shared_overlapping_writes(gen
, n
, groups
);
3080 /* Set array->n_group and array->groups to n and groups.
3082 * Additionally, set the "nr" field of each group
3083 * and the "group" field of each reference in each group.
3085 static void set_array_groups(struct gpu_array_info
*array
,
3086 int n
, struct gpu_array_ref_group
**groups
)
3091 array
->groups
= groups
;
3093 for (i
= 0; i
< n
; ++i
) {
3096 for (j
= 0; j
< groups
[i
]->n_ref
; ++j
)
3097 groups
[i
]->refs
[j
]->group
= i
;
3101 /* Group array references that should be considered together when
3102 * deciding whether to access them from private, shared or global memory.
3103 * Return -1 on error.
3105 * In particular, if two array references overlap and if one of them
3106 * is a write, then the two references are grouped together.
3107 * We first perform an initial grouping based only on the access relation.
3108 * After computing shared and private memory tiles, we check for
3109 * overlapping writes again, but this time taking into account
3110 * the "last_shared" property.
3112 * Furthermore, if two groups admit a shared memory tile and if the
3113 * combination of the two also admits a shared memory tile, we merge
3116 * If the array contains structures, then there is no need to compute
3117 * reference groups since we do not map such arrays to private or shared
3120 static int group_array_references(struct gpu_gen
*gen
,
3121 struct gpu_array_info
*array
, __isl_keep isl_union_map
*sched
)
3125 isl_ctx
*ctx
= isl_union_map_get_ctx(sched
);
3126 struct gpu_array_ref_group
**groups
;
3128 if (array
->has_compound_element
)
3131 groups
= isl_calloc_array(ctx
, struct gpu_array_ref_group
*,
3136 n
= populate_array_references(array
, sched
, groups
);
3138 n
= group_overlapping_writes(gen
, n
, groups
);
3140 for (i
= 0; i
< n
; ++i
)
3141 if (compute_group_bounds(gen
, groups
[i
]) < 0)
3144 n
= group_last_shared_overlapping_writes(gen
, n
, groups
);
3146 n
= group_common_shared_memory_tile(gen
, array
, n
, groups
);
3148 set_array_groups(array
, n
, groups
);
3153 for (i
= 0; i
< array
->n_ref
; ++i
)
3154 free_array_ref_group(groups
[i
]);
3158 /* Take tiled_sched, project it onto the shared tile loops and
3159 * the loops that will be wrapped over the threads and
3160 * store the result in gen->shared_sched.
3161 * Also compute a projection that projects out the loops that will be
3162 * wrapped over the threads and store this projection in gen->shared_proj.
3164 static void compute_shared_sched(struct gpu_gen
*gen
)
3169 isl_union_map
*sched
;
3171 sched
= isl_union_map_copy(gen
->tiled_sched
);
3173 dim
= isl_union_map_get_space(sched
);
3174 proj
= projection(dim
, gen
->tiled_len
, gen
->shared_len
+ gen
->n_block
);
3175 sched
= isl_union_map_apply_range(sched
, isl_union_map_from_map(proj
));
3177 dim
= isl_union_map_get_space(sched
);
3178 proj
= projection(dim
, gen
->shared_len
+ gen
->n_block
, gen
->shared_len
);
3180 gen
->shared_sched
= sched
;
3181 gen
->shared_proj
= isl_union_map_from_map(proj
);
3184 /* For each scalar in the input program, check if there are any
3185 * order dependences active inside the current kernel, within
3186 * the same iteration of the host schedule.
3187 * If so, mark the scalar as force_private so that it will be
3188 * mapped to a register.
3190 static void check_scalar_live_ranges(struct gpu_gen
*gen
)
3194 isl_union_map
*sched
;
3195 isl_union_set
*domain
;
3196 isl_union_map
*same_host_iteration
;
3198 gen
->any_force_private
= 0;
3200 if (!gen
->options
->live_range_reordering
)
3203 sched
= gen
->shared_sched
;
3204 sched
= isl_union_map_universe(isl_union_map_copy(sched
));
3205 domain
= isl_union_map_domain(sched
);
3207 sched
= isl_union_map_copy(gen
->sched
);
3208 proj
= projection(isl_union_map_get_space(sched
),
3209 gen
->untiled_len
, gen
->tile_first
);
3210 sched
= isl_union_map_apply_range(sched
, isl_union_map_from_map(proj
));
3211 same_host_iteration
= isl_union_map_apply_range(sched
,
3212 isl_union_map_reverse(isl_union_map_copy(sched
)));
3214 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
3215 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
3216 isl_union_map
*order
;
3218 array
->force_private
= 0;
3219 if (array
->n_index
!= 0)
3221 order
= isl_union_map_copy(array
->dep_order
);
3222 order
= isl_union_map_intersect_domain(order
,
3223 isl_union_set_copy(domain
));
3224 order
= isl_union_map_intersect_range(order
,
3225 isl_union_set_copy(domain
));
3226 order
= isl_union_map_intersect(order
,
3227 isl_union_map_copy(same_host_iteration
));
3228 if (!isl_union_map_is_empty(order
)) {
3229 array
->force_private
= 1;
3230 gen
->any_force_private
= 1;
3232 isl_union_map_free(order
);
3235 isl_union_map_free(same_host_iteration
);
3236 isl_union_set_free(domain
);
3239 /* Group references of all arrays in the program.
3241 static int group_references(struct gpu_gen
*gen
)
3245 isl_union_map
*sched
;
3247 sched
= isl_union_map_apply_range(isl_union_map_copy(gen
->shared_sched
),
3248 isl_union_map_copy(gen
->shared_proj
));
3250 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
3251 r
= group_array_references(gen
, &gen
->prog
->array
[i
], sched
);
3256 isl_union_map_free(sched
);
3261 /* Free all array information that is local to the current kernel.
3263 static void free_local_array_info(struct gpu_gen
*gen
)
3267 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
3268 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
3270 for (j
= 0; j
< array
->n_group
; ++j
)
3271 free_array_ref_group(array
->groups
[j
]);
3272 free(array
->groups
);
3276 /* Compute the size of a bounding box around the origin and "set",
3277 * where "set" is assumed to contain only non-negative elements.
3278 * In particular, compute the maximal value of "set" in each direction
3281 static __isl_give isl_multi_pw_aff
*extract_size(__isl_take isl_set
*set
,
3282 __isl_keep isl_set
*context
)
3285 isl_multi_pw_aff
*mpa
;
3287 n
= isl_set_dim(set
, isl_dim_set
);
3288 mpa
= isl_multi_pw_aff_zero(isl_set_get_space(set
));
3289 for (i
= 0; i
< n
; ++i
) {
3294 bound
= isl_set_dim_max(isl_set_copy(set
), i
);
3295 bound
= isl_pw_aff_coalesce(bound
);
3296 bound
= isl_pw_aff_gist(bound
, isl_set_copy(context
));
3298 space
= isl_pw_aff_get_domain_space(bound
);
3299 one
= isl_aff_zero_on_domain(isl_local_space_from_space(space
));
3300 one
= isl_aff_add_constant_si(one
, 1);
3301 bound
= isl_pw_aff_add(bound
, isl_pw_aff_from_aff(one
));
3302 mpa
= isl_multi_pw_aff_set_pw_aff(mpa
, i
, bound
);
3309 /* Compute the effective grid size as a list of the sizes in each dimension.
3311 * The grid size specified by the user or set by default
3312 * in read_grid_sizes() and applied in tile_schedule(),
3313 * may be too large for the given code in the sense that
3314 * it may contain blocks that don't need to execute anything.
3315 * We therefore don't return this grid size, but instead the
3316 * smallest grid size that ensures that all blocks that actually
3317 * execute code are included in the grid.
3319 * We first extract a description of the grid, i.e., the possible values
3320 * of the block ids, from gen->tiled_sched.
3321 * The block ids are parameters in gen->tiled_sched.
3322 * We simply need to change them into set dimensions.
3324 * Then, for each block dimension, we compute the maximal value of the block id
3327 static __isl_give isl_multi_pw_aff
*extract_grid_size(struct gpu_gen
*gen
,
3328 struct ppcg_kernel
*kernel
)
3333 grid
= isl_union_map_params(isl_union_map_copy(gen
->tiled_sched
));
3334 grid
= isl_set_from_params(grid
);
3335 grid
= isl_set_add_dims(grid
, isl_dim_set
, gen
->n_grid
);
3336 for (i
= 0; i
< gen
->n_grid
; ++i
) {
3340 snprintf(name
, sizeof(name
), "b%d", i
);
3341 pos
= isl_set_find_dim_by_name(grid
, isl_dim_param
, name
);
3343 grid
= isl_set_equate(grid
, isl_dim_param
, pos
, isl_dim_set
, i
);
3344 grid
= isl_set_project_out(grid
, isl_dim_param
, pos
, 1);
3347 return extract_size(grid
, kernel
->context
);
3350 /* Compute the size of a fixed bounding box around the origin and "set",
3351 * where "set" is assumed to contain only non-negative elements,
3352 * and store the results in "size".
3353 * In particular, compute the maximal value of "set" in each direction
3356 static void extract_fixed_size(__isl_take isl_set
*set
, int *size
)
3359 isl_local_space
*ls
;
3362 n
= isl_set_dim(set
, isl_dim_set
);
3363 ls
= isl_local_space_from_space(isl_set_get_space(set
));
3364 obj
= isl_aff_zero_on_domain(ls
);
3365 for (i
= 0; i
< n
; ++i
) {
3368 obj
= isl_aff_set_coefficient_si(obj
, isl_dim_in
, i
, 1);
3369 max
= isl_set_max_val(set
, obj
);
3370 size
[i
] = isl_val_get_num_si(max
) + 1;
3372 obj
= isl_aff_set_coefficient_si(obj
, isl_dim_in
, i
, 0);
3378 /* Compute the effective block size as a list of the sizes in each dimension
3379 * and store the sizes in kernel->block_dim.
3381 * The block size specified by the user or set by default
3382 * in read_block_sizes() and applied in thread_tile_schedule(),
3383 * may be too large for the given code in the sense that
3384 * it may contain threads that don't need to execute anything.
3385 * We therefore don't store this block size in kernel->block_dim,
3386 * but instead the smallest block size that ensures that all threads
3387 * that actually execute code are included in the block.
3389 * The current implementation eliminates all parameters, ensuring
3390 * that the size is a fixed constant in each dimension.
3391 * In principle we could also compute parametric sizes.
3392 * We would have to make sure to project out all b%d and t%d parameters,
3395 static void extract_block_size(struct gpu_gen
*gen
, struct ppcg_kernel
*kernel
)
3400 isl_multi_pw_aff
*mpa
;
3402 block
= isl_union_map_params(isl_union_map_copy(gen
->local_sched
));
3403 block
= isl_set_from_params(block
);
3404 block
= isl_set_add_dims(block
, isl_dim_set
, gen
->n_block
);
3405 kernel
->n_block
= gen
->n_block
;
3406 for (i
= 0; i
< gen
->n_block
; ++i
) {
3410 snprintf(name
, sizeof(name
), "t%d", i
);
3411 pos
= isl_set_find_dim_by_name(block
, isl_dim_param
, name
);
3413 block
= isl_set_equate(block
, isl_dim_param
, pos
,
3416 nparam
= isl_set_dim(block
, isl_dim_param
);
3417 block
= isl_set_project_out(block
, isl_dim_param
, 0, nparam
);
3419 extract_fixed_size(block
, kernel
->block_dim
);
3422 void ppcg_kernel_free(void *user
)
3424 struct ppcg_kernel
*kernel
= user
;
3430 isl_multi_pw_aff_free(kernel
->grid_size
);
3431 isl_set_free(kernel
->context
);
3432 isl_union_set_free(kernel
->arrays
);
3433 isl_space_free(kernel
->space
);
3434 isl_ast_node_free(kernel
->tree
);
3436 for (i
= 0; i
< kernel
->n_array
; ++i
)
3437 isl_pw_aff_list_free(kernel
->array
[i
].bound
);
3438 free(kernel
->array
);
3440 for (i
= 0; i
< kernel
->n_var
; ++i
) {
3441 free(kernel
->var
[i
].name
);
3442 isl_vec_free(kernel
->var
[i
].size
);
3449 static void create_kernel_var(isl_ctx
*ctx
, struct gpu_array_ref_group
*group
,
3450 struct ppcg_kernel_var
*var
)
3453 struct gpu_array_tile
*tile
;
3457 var
->array
= group
->array
;
3459 tile
= group
->private_tile
;
3460 var
->type
= ppcg_access_private
;
3462 tile
= group
->shared_tile
;
3463 var
->type
= ppcg_access_shared
;
3466 p
= isl_printer_to_str(ctx
);
3467 p
= print_array_name(p
, group
);
3468 var
->name
= isl_printer_get_str(p
);
3469 isl_printer_free(p
);
3471 var
->size
= isl_vec_alloc(ctx
, group
->array
->n_index
);
3473 for (j
= 0; j
< group
->array
->n_index
; ++j
)
3474 var
->size
= isl_vec_set_element_val(var
->size
, j
,
3475 isl_val_copy(tile
->bound
[j
].size
));
3478 static void create_kernel_vars(struct gpu_gen
*gen
, struct ppcg_kernel
*kernel
)
3483 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
3484 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
3486 for (j
= 0; j
< array
->n_group
; ++j
) {
3487 struct gpu_array_ref_group
*group
= array
->groups
[j
];
3488 if (group
->private_tile
|| group
->shared_tile
)
3494 kernel
->var
= isl_calloc_array(gen
->ctx
, struct ppcg_kernel_var
, n
);
3495 assert(kernel
->var
);
3498 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
3499 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
3501 for (j
= 0; j
< array
->n_group
; ++j
) {
3502 struct gpu_array_ref_group
*group
= array
->groups
[j
];
3503 if (!group
->private_tile
&& !group
->shared_tile
)
3505 create_kernel_var(gen
->ctx
, group
, &kernel
->var
[n
]);
3511 /* The sizes of the arrays on the host that have been computed by
3512 * extract_array_info may depend on the parameters. Use the extra
3513 * constraints on the parameters that are valid at "host_domain"
3514 * to simplify these expressions and store the results in kernel->array.
3516 * We only need these localized bounds for arrays that are accessed
3517 * by the current kernel. If we have found at least one reference group
3518 * then the array is accessed by the kernel. If the array has compound
3519 * elements then we skipped the construction of array reference groups.
3521 static void localize_bounds(struct gpu_gen
*gen
, struct ppcg_kernel
*kernel
,
3522 __isl_keep isl_set
*host_domain
)
3527 kernel
->array
= isl_calloc_array(gen
->ctx
,
3528 struct gpu_local_array_info
, gen
->prog
->n_array
);
3529 assert(kernel
->array
);
3530 kernel
->n_array
= gen
->prog
->n_array
;
3532 context
= isl_set_copy(host_domain
);
3533 context
= isl_set_params(context
);
3535 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
3536 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
3537 isl_pw_aff_list
*local
;
3539 if (array
->n_group
== 0 && !array
->has_compound_element
)
3542 local
= isl_pw_aff_list_alloc(gen
->ctx
, array
->n_index
);
3544 for (j
= 0; j
< array
->n_index
; ++j
) {
3547 pwaff
= isl_pw_aff_copy(array
->bound
[j
]);
3548 pwaff
= isl_pw_aff_gist(pwaff
, isl_set_copy(context
));
3549 local
= isl_pw_aff_list_add(local
, pwaff
);
3552 kernel
->array
[i
].n_index
= array
->n_index
;
3553 kernel
->array
[i
].bound
= local
;
3555 isl_set_free(context
);
3558 /* Find the element in gen->stmt that has the given "id".
3559 * Return NULL if no such gpu_stmt can be found.
3561 static struct gpu_stmt
*find_stmt(struct gpu_prog
*prog
, __isl_keep isl_id
*id
)
3565 for (i
= 0; i
< prog
->n_stmts
; ++i
) {
3566 if (id
== prog
->stmts
[i
].id
)
3570 return i
< prog
->n_stmts
? &prog
->stmts
[i
] : NULL
;
3573 /* Set gen->tile_len and gen->n_parallel to those of the statement
3574 * affected by the first map (part of the schedule)
3575 * on which this function is called.
3576 * Because of the way the schedule is constructed, the other statements
3577 * in the list, if any, should have the same values for these properties.
3579 static int extract_tile_len(__isl_take isl_map
*map
, void *user
)
3581 struct gpu_gen
*gen
= (struct gpu_gen
*) user
;
3583 struct gpu_stmt
*stmt
;
3585 id
= isl_map_get_tuple_id(map
, isl_dim_in
);
3586 stmt
= find_stmt(gen
->prog
, id
);
3592 isl_die(gen
->ctx
, isl_error_unknown
,
3593 "statement not found", return -1);
3595 gen
->tile_len
= stmt
->tile_len
;
3596 gen
->n_parallel
= stmt
->n_parallel
;
3601 void ppcg_kernel_stmt_free(void *user
)
3604 struct ppcg_kernel_stmt
*stmt
= user
;
3609 switch (stmt
->type
) {
3610 case ppcg_kernel_copy
:
3611 isl_ast_expr_free(stmt
->u
.c
.index
);
3612 isl_ast_expr_free(stmt
->u
.c
.local_index
);
3614 case ppcg_kernel_domain
:
3615 isl_id_to_ast_expr_free(stmt
->u
.d
.ref2expr
);
3617 case ppcg_kernel_sync
:
3624 /* Set the options of "context" to
3626 * { space -> [x] : x >= first }
3628 static __isl_give isl_ast_build
*set_unroll(
3629 __isl_take isl_ast_build
*build
, __isl_take isl_space
*space
,
3636 ctx
= isl_ast_build_get_ctx(build
);
3638 space
= isl_space_from_domain(space
);
3639 space
= isl_space_add_dims(space
, isl_dim_out
, 1);
3640 space
= isl_space_set_tuple_name(space
, isl_dim_out
, "unroll");
3641 unroll
= isl_map_universe(space
);
3642 unroll
= isl_map_lower_bound_si(unroll
, isl_dim_out
, 0, first
);
3643 opt
= isl_union_map_from_map(unroll
);
3645 build
= isl_ast_build_set_options(build
, opt
);
3650 /* Return a list of isl_ids of the form "prefix%d".
3652 static __isl_give isl_id_list
*generate_names(isl_ctx
*ctx
,
3653 int n
, const char *prefix
)
3659 names
= isl_id_list_alloc(ctx
, n
);
3660 for (i
= 0; i
< n
; ++i
) {
3663 snprintf(name
, sizeof(name
), "%s%d", prefix
, i
);
3664 id
= isl_id_alloc(ctx
, name
, NULL
);
3665 names
= isl_id_list_add(names
, id
);
3671 /* Extend the schedule "schedule" with the part of "extension"
3672 * starting at "first" up to "len".
3674 static __isl_give isl_union_map
*extend_schedule(
3675 __isl_take isl_union_map
*schedule
,
3676 __isl_take isl_union_map
*extension
, int first
, int len
)
3680 isl_union_map
*umap
;
3683 space
= isl_union_map_get_space(schedule
);
3684 space
= isl_space_set_from_params(space
);
3685 space
= isl_space_add_dims(space
, isl_dim_set
, len
);
3686 proj
= isl_set_identity(isl_set_universe(space
));
3687 proj
= isl_map_project_out(proj
, isl_dim_out
, 0, first
);
3688 extension
= isl_union_map_apply_range(extension
,
3689 isl_union_map_from_map(proj
));
3691 schedule
= isl_union_map_range_product(schedule
, extension
);
3696 /* Return the gpu_stmt_access in the list "accesses" that corresponds
3699 static struct gpu_stmt_access
*find_access(struct gpu_stmt_access
*accesses
,
3700 __isl_keep isl_id
*ref_id
)
3702 struct gpu_stmt_access
*access
;
3704 for (access
= accesses
; access
; access
= access
->next
)
3705 if (access
->ref_id
== ref_id
)
3711 /* Return the index of the array called "name" in the list of arrays.
3713 static int find_array_index(struct gpu_gen
*gen
, const char *name
)
3717 for (i
= 0; i
< gen
->prog
->n_array
; ++i
)
3718 if (!strcmp(name
, gen
->prog
->array
[i
].name
))
3724 /* Internal data structure for the index and AST expression transformation
3725 * callbacks for pet_stmt_build_ast_exprs.
3727 * "accesses" is the list of gpu_stmt_access in the statement.
3728 * "iterator_map" expresses the statement iterators in terms of
3729 * the AST loop iterators.
3730 * "sched2shared" expresses the first shared_len dimensions of
3731 * the computed schedule in terms of the AST loop iterators.
3733 * The following fields are set in transform_index and used in transform_expr.
3734 * "array" is the array that is being accessed.
3735 * "global" is set if the global array is accessed (rather than
3736 * shared/private memory).
3737 * "local_array" refers to information on the array specialized
3738 * to the current kernel.
3740 struct ppcg_transform_data
{
3741 struct gpu_gen
*gen
;
3742 struct gpu_stmt_access
*accesses
;
3743 isl_pw_multi_aff
*iterator_map
;
3744 isl_pw_multi_aff
*sched2shared
;
3746 struct gpu_array_info
*array
;
3748 struct gpu_local_array_info
*local_array
;
3751 /* Return the name of the outer array (of structs) accessed by "access".
3753 static const char *get_outer_array_name(__isl_keep isl_map
*access
)
3758 space
= isl_space_range(isl_map_get_space(access
));
3759 while (space
&& isl_space_is_wrapping(space
))
3760 space
= isl_space_domain(isl_space_unwrap(space
));
3761 name
= isl_space_get_tuple_name(space
, isl_dim_set
);
3762 isl_space_free(space
);
3767 /* Index transformation callback for pet_stmt_build_ast_exprs.
3769 * "index" expresses the array indices in terms of statement iterators
3771 * We first reformulate "index" in terms of the AST loop iterators.
3772 * Then we check if we are accessing the global array or
3773 * a shared/private copy. In the former case, we simply return
3774 * the updated index. If "index" is an affine expression rather
3775 * than an array access, then we also return the updated index here.
3777 * If no reference groups have been computed for the array,
3778 * then we can only be accessing the global array.
3780 * Otherwise, we apply the tiling to the index.
3781 * This tiling is of the form
3785 * The index is of the form
3789 * We update the tiling to refer to the AST loop iteratos
3793 * and modify index to keep track of those iterators
3797 * Combining these two yields a tiled index expression in terms
3798 * of the AST loop iterators
3802 static __isl_give isl_multi_pw_aff
*transform_index(
3803 __isl_take isl_multi_pw_aff
*index
, __isl_keep isl_id
*ref_id
,
3806 struct ppcg_transform_data
*data
= user
;
3807 struct gpu_stmt_access
*access
;
3808 struct gpu_array_ref_group
*group
;
3809 struct gpu_array_tile
*tile
;
3810 isl_pw_multi_aff
*iterator_map
;
3814 isl_multi_pw_aff
*tiling
;
3815 isl_pw_multi_aff
*pma
;
3816 isl_multi_pw_aff
*mpa
;
3820 iterator_map
= isl_pw_multi_aff_copy(data
->iterator_map
);
3821 index
= isl_multi_pw_aff_pullback_pw_multi_aff(index
, iterator_map
);
3823 access
= find_access(data
->accesses
, ref_id
);
3826 if (!isl_map_has_tuple_name(access
->access
, isl_dim_out
))
3829 name
= get_outer_array_name(access
->access
);
3830 i
= find_array_index(data
->gen
, name
);
3832 isl_die(isl_multi_pw_aff_get_ctx(index
), isl_error_internal
,
3833 "cannot find array",
3834 return isl_multi_pw_aff_free(index
));
3835 data
->array
= &data
->gen
->prog
->array
[i
];
3836 data
->local_array
= &data
->gen
->kernel
->array
[i
];
3838 if (access
->group
< 0) {
3843 group
= data
->array
->groups
[access
->group
];
3844 tile
= group
->private_tile
;
3846 tile
= group
->shared_tile
;
3847 data
->global
= !tile
;
3851 space
= isl_space_range(isl_multi_pw_aff_get_space(index
));
3852 space
= isl_space_map_from_set(space
);
3853 pma
= isl_pw_multi_aff_identity(space
);
3854 pma
= isl_pw_multi_aff_product(
3855 isl_pw_multi_aff_copy(data
->sched2shared
), pma
);
3856 tiling
= isl_multi_pw_aff_from_multi_aff(
3857 isl_multi_aff_copy(tile
->tiling
));
3858 tiling
= isl_multi_pw_aff_pullback_pw_multi_aff(tiling
, pma
);
3860 space
= isl_space_domain(isl_multi_pw_aff_get_space(index
));
3861 space
= isl_space_map_from_set(space
);
3862 mpa
= isl_multi_pw_aff_identity(space
);
3863 index
= isl_multi_pw_aff_range_product(mpa
, index
);
3864 index
= isl_multi_pw_aff_pullback_multi_pw_aff(tiling
, index
);
3869 /* Dereference "expr" by adding an index [0].
3870 * The original "expr" is assumed not to have any indices.
3872 * If "expr" is a member access, then the dereferencing needs
3873 * to be applied to the structure argument of this member access.
3875 static __isl_give isl_ast_expr
*dereference(__isl_take isl_ast_expr
*expr
)
3879 isl_ast_expr_list
*list
;
3881 if (isl_ast_expr_get_op_type(expr
) == isl_ast_op_member
) {
3884 arg
= isl_ast_expr_get_op_arg(expr
, 0);
3885 arg
= dereference(arg
);
3886 expr
= isl_ast_expr_set_op_arg(expr
, 0, arg
);
3891 ctx
= isl_ast_expr_get_ctx(expr
);
3892 res
= isl_ast_expr_from_val(isl_val_zero(ctx
));
3893 list
= isl_ast_expr_list_from_ast_expr(res
);
3894 res
= isl_ast_expr_get_op_arg(expr
, 0);
3895 res
= isl_ast_expr_access(res
, list
);
3896 isl_ast_expr_free(expr
);
3901 /* Linearize the index expression "expr" based on the array bounds
3904 * That is, transform expression
3906 * A[i_0][i_1]...[i_n]
3910 * A[(..((i_0 * b_1 + i_1) ... ) * b_n + i_n]
3912 * where b_0, b_1, ..., b_n are the bounds on the array.
3914 * If the base of "expr" is a member access, then the linearization needs
3915 * to be applied to the structure argument of this member access.
3917 * In the base case, if "expr" has no arguments (other than the name of
3918 * the array), then we are passing an entire array to a function.
3919 * In this case, there is nothing to linearize.
3920 * Note that at this point an expression with no arguments can
3921 * only be an entire array because the scalar case and
3922 * the case of single struct are handled by the caller.
3924 * If the number of specified index expressions in "expr"
3925 * is smaller than the dimension of the accessed array,
3926 * then the missing i_j also do not appear in the linearized expression.
3927 * Furthermore, since such an expression does not refer to a single
3928 * element while the default linearized expression would refer to
3929 * a single element, we return the expression
3931 * A + (..((i_0 * b_1 + i_1) ... ) * b_n]
3933 * instead. Note that because of the special case handling above,
3934 * we can assume here that here that there is at least one index expression.
3936 __isl_give isl_ast_expr
*gpu_local_array_info_linearize_index(
3937 struct gpu_local_array_info
*array
, __isl_take isl_ast_expr
*expr
)
3944 isl_ast_expr_list
*list
;
3945 isl_ast_build
*build
;
3947 arg0
= isl_ast_expr_get_op_arg(expr
, 0);
3948 if (isl_ast_expr_get_type(arg0
) == isl_ast_expr_op
&&
3949 isl_ast_expr_get_op_type(arg0
) == isl_ast_op_member
) {
3952 arg
= isl_ast_expr_get_op_arg(arg0
, 0);
3953 arg
= gpu_local_array_info_linearize_index(array
, arg
);
3954 arg0
= isl_ast_expr_set_op_arg(arg0
, 0, arg
);
3955 expr
= isl_ast_expr_set_op_arg(expr
, 0, arg0
);
3959 isl_ast_expr_free(arg0
);
3961 if (isl_ast_expr_get_op_n_arg(expr
) == 1)
3964 ctx
= isl_ast_expr_get_ctx(expr
);
3965 context
= isl_set_universe(isl_space_params_alloc(ctx
, 0));
3966 build
= isl_ast_build_from_context(context
);
3968 n
= isl_ast_expr_get_op_n_arg(expr
);
3969 res
= isl_ast_expr_get_op_arg(expr
, 1);
3970 for (i
= 1; i
< array
->n_index
; ++i
) {
3971 isl_pw_aff
*bound_i
;
3972 isl_ast_expr
*expr_i
;
3974 bound_i
= isl_pw_aff_list_get_pw_aff(array
->bound
, i
);
3975 expr_i
= isl_ast_build_expr_from_pw_aff(build
, bound_i
);
3976 res
= isl_ast_expr_mul(res
, expr_i
);
3980 expr_i
= isl_ast_expr_get_op_arg(expr
, i
+ 1);
3981 res
= isl_ast_expr_add(res
, expr_i
);
3984 isl_ast_build_free(build
);
3986 if (1 + array
->n_index
> n
) {
3987 res
= isl_ast_expr_add(isl_ast_expr_get_op_arg(expr
, 0), res
);
3989 list
= isl_ast_expr_list_from_ast_expr(res
);
3990 res
= isl_ast_expr_get_op_arg(expr
, 0);
3991 res
= isl_ast_expr_access(res
, list
);
3994 isl_ast_expr_free(expr
);
3999 /* AST expression transformation callback for pet_stmt_build_ast_exprs.
4001 * If the AST expression refers to a global scalar that is not
4002 * a read-only scalar, then its address was passed to the kernel and
4003 * we need to dereference it.
4005 * If the AST expression refers to an access to a global array,
4006 * then we linearize the access exploiting the bounds in data->local_array.
4008 static __isl_give isl_ast_expr
*transform_expr(__isl_take isl_ast_expr
*expr
,
4009 __isl_keep isl_id
*id
, void *user
)
4011 struct ppcg_transform_data
*data
= user
;
4015 if (gpu_array_is_read_only_scalar(data
->array
))
4019 if (data
->array
->n_index
== 0)
4020 return dereference(expr
);
4021 if (!data
->array
->linearize
)
4024 return gpu_local_array_info_linearize_index(data
->local_array
, expr
);
4027 /* This function is called for each instance of a user statement
4030 * We attach a struct ppcg_kernel_stmt to the "node", containing
4031 * a computed AST expression for each access.
4032 * These AST expressions are computed from iterator_map,
4033 * which expresses the domain
4034 * elements in terms of the generated loops, and sched2shared,
4035 * which expresses the first shared_len dimensions of the schedule
4036 * computed by PPCG in terms of the generated loops.
4038 static __isl_give isl_ast_node
*at_each_domain(__isl_take isl_ast_node
*node
,
4039 __isl_keep isl_ast_build
*build
, void *user
)
4041 struct ppcg_transform_data data
;
4042 struct gpu_gen
*gen
= (struct gpu_gen
*) user
;
4043 struct ppcg_kernel_stmt
*stmt
;
4045 isl_pw_multi_aff
*sched2shared
;
4047 isl_pw_multi_aff
*iterator_map
;
4048 isl_ast_expr
*expr
, *arg
;
4049 isl_union_map
*schedule
;
4052 stmt
= isl_calloc_type(gen
->ctx
, struct ppcg_kernel_stmt
);
4054 return isl_ast_node_free(node
);
4056 expr
= isl_ast_node_user_get_expr(node
);
4057 arg
= isl_ast_expr_get_op_arg(expr
, 0);
4058 id
= isl_ast_expr_get_id(arg
);
4060 schedule
= isl_ast_build_get_schedule(build
);
4061 map
= isl_map_reverse(isl_map_from_union_map(schedule
));
4062 iterator_map
= isl_pw_multi_aff_from_map(map
);
4063 sched2shared
= compute_sched_to_shared(gen
,
4064 isl_pw_multi_aff_copy(iterator_map
));
4066 stmt
->type
= ppcg_kernel_domain
;
4067 stmt
->u
.d
.stmt
= find_stmt(gen
->prog
, id
);
4068 if (!stmt
->u
.d
.stmt
)
4072 data
.accesses
= stmt
->u
.d
.stmt
->accesses
;
4073 data
.iterator_map
= iterator_map
;
4074 data
.sched2shared
= sched2shared
;
4075 stmt
->u
.d
.ref2expr
= pet_stmt_build_ast_exprs(stmt
->u
.d
.stmt
->stmt
,
4076 build
, &transform_index
, &data
,
4077 &transform_expr
, &data
);
4080 isl_pw_multi_aff_free(iterator_map
);
4081 isl_pw_multi_aff_free(sched2shared
);
4082 isl_ast_expr_free(arg
);
4083 isl_ast_expr_free(expr
);
4085 id
= isl_id_alloc(gen
->ctx
, NULL
, stmt
);
4086 id
= isl_id_set_free_user(id
, &ppcg_kernel_stmt_free
);
4087 return isl_ast_node_set_annotation(node
, id
);
4090 isl_pw_multi_aff_free(iterator_map
);
4091 ppcg_kernel_stmt_free(stmt
);
4092 isl_pw_multi_aff_free(sched2shared
);
4093 return isl_ast_node_free(node
);
4096 /* This function is called when code has been generated for the shared
4097 * tile loops. The "schedule" refers only to the original statements.
4099 * We extend the schedule with that part of gen->local_sched that hasn't
4100 * been taken into account yet. This introduces parameters referring
4101 * to thread ids in the schedule, so we add them (with the appropriate
4102 * bounds to the context as well).
4103 * Finally, we set the appropriate unrolling options
4104 * if gen->first_unroll is set.
4106 static __isl_give isl_ast_node
*create_domain_leaf(
4107 __isl_take isl_union_map
*schedule
, __isl_take isl_ast_build
*build
,
4110 struct gpu_gen
*gen
= (struct gpu_gen
*) user
;
4112 isl_union_map
*sched
;
4115 isl_id_list
*iterators
;
4118 schedule
= extend_schedule(schedule
,
4119 isl_union_map_copy(gen
->local_sched
),
4120 gen
->shared_len
, gen
->thread_tiled_len
);
4122 space
= isl_ast_build_get_schedule_space(build
);
4123 set
= isl_set_universe(space
);
4124 set
= add_bounded_parameters(set
, gen
->kernel
->n_block
,
4125 gen
->kernel
->block_dim
, "t");
4126 build
= isl_ast_build_restrict(build
, set
);
4128 n
= gen
->thread_tiled_len
- gen
->shared_len
;
4130 if (gen
->first_unroll
>= 0) {
4131 space
= isl_space_set_alloc(gen
->ctx
, 0, n
);
4132 build
= set_unroll(build
, space
, gen
->first_unroll
);
4134 iterators
= generate_names(gen
->ctx
, n
, "c");
4135 build
= isl_ast_build_set_iterators(build
, iterators
);
4136 build
= isl_ast_build_set_at_each_domain(build
, &at_each_domain
, gen
);
4137 tree
= isl_ast_build_ast_from_schedule(build
, schedule
);
4138 isl_ast_build_free(build
);
4143 /* This function is called for each statement node in the AST of the code
4144 * for copying to or from shared/private memory.
4145 * Attach a pointer to a ppcg_kernel_stmt representing the copy
4146 * statement to the node.
4147 * The statement name is "read" or "write", depending on whether we are
4148 * reading from global memory or writing to global memory.
4149 * The name of the T space is {shared,private}_<array>.
4151 * The schedule is of the form
4155 * where A refers to a piece of an array and T to the corresponding
4156 * shifted tile. We split this schedule into mappings L -> A and L -> T
4157 * and store the corresponding expressions in stmt->index and stmt->local_index,
4158 * where stmt points to the ppcg_kernel_stmt that is attached to the node.
4160 static __isl_give isl_ast_node
*attach_copy_stmt(__isl_take isl_ast_node
*node
,
4161 __isl_keep isl_ast_build
*build
, void *user
)
4163 struct gpu_gen
*gen
= (struct gpu_gen
*) user
;
4164 struct ppcg_kernel_stmt
*stmt
;
4168 isl_map
*access
, *local_access
, *map
;
4169 isl_pw_multi_aff
*pma
;
4173 stmt
= isl_calloc_type(gen
->ctx
, struct ppcg_kernel_stmt
);
4175 return isl_ast_node_free(node
);
4177 access
= isl_map_from_union_map(isl_ast_build_get_schedule(build
));
4178 type
= isl_map_get_tuple_name(access
, isl_dim_in
);
4179 stmt
->u
.c
.read
= !strcmp(type
, "read");
4180 access
= isl_map_reverse(access
);
4181 space
= isl_space_unwrap(isl_space_range(isl_map_get_space(access
)));
4182 local_access
= isl_map_copy(access
);
4184 map
= isl_map_domain_map(isl_map_universe(isl_space_copy(space
)));
4185 id
= isl_map_get_tuple_id(access
, isl_dim_out
);
4186 map
= isl_map_set_tuple_id(map
, isl_dim_in
, id
);
4187 access
= isl_map_apply_range(access
, map
);
4188 pma
= isl_pw_multi_aff_from_map(access
);
4189 expr
= isl_ast_build_access_from_pw_multi_aff(build
, pma
);
4190 stmt
->u
.c
.index
= expr
;
4192 map
= isl_map_range_map(isl_map_universe(space
));
4193 id
= isl_map_get_tuple_id(local_access
, isl_dim_out
);
4194 map
= isl_map_set_tuple_id(map
, isl_dim_in
, id
);
4195 local_access
= isl_map_apply_range(local_access
, map
);
4196 pma
= isl_pw_multi_aff_from_map(local_access
);
4197 expr
= isl_ast_build_access_from_pw_multi_aff(build
, pma
);
4198 stmt
->u
.c
.local_index
= expr
;
4200 stmt
->u
.c
.array
= gen
->copy_group
->array
;
4201 array_index
= stmt
->u
.c
.array
- gen
->prog
->array
;
4202 stmt
->u
.c
.local_array
= &gen
->kernel
->array
[array_index
];
4203 stmt
->type
= ppcg_kernel_copy
;
4205 id
= isl_id_alloc(gen
->ctx
, NULL
, stmt
);
4206 id
= isl_id_set_free_user(id
, &ppcg_kernel_stmt_free
);
4207 return isl_ast_node_set_annotation(node
, id
);
4210 /* Given a schedule of the form
4214 * (with S the first shared_len dimensions of the computed schedule,
4215 * A the array and L the schedule correponding to the generated loops),
4216 * indicating where to copy the array elements that need to be copied,
4217 * construct code for performing the copying.
4219 * "group" is the array reference group that is being copied
4220 * "type" is either "read" or "write"
4221 * private is set if copying needs to be performed to/from registers
4223 * We first construct a mapping to a shifted tile of the array,
4225 * [S -> A] -> T(S,A) (1)
4227 * If private is set, then we also use this mapping as a schedule
4228 * (which is already thread-specific and will be completely unrolled).
4229 * Otherwise, we wrap/tile the range over the threads.
4232 * [S -> A] -> T'(S,A)
4234 * Combined with the given schedule, we have
4236 * [S -> A] -> [L -> T'(S,A)] (2)
4238 * From the shifted tile mapping, we construct a mapping
4240 * [S -> A] -> [A -> T(S,A)]
4242 * and apply it to the schedule (2), obtaining
4244 * [A -> T(S(L),A)] -> [L -> T'(S(L),A)]
4246 * Note that we can project out S because it is uniquely defined by L.
4248 static __isl_give isl_ast_node
*copy_access(struct gpu_gen
*gen
,
4249 __isl_take isl_map
*sched
,
4250 const char *type
, struct gpu_array_ref_group
*group
,
4251 __isl_take isl_ast_build
*build
, int private)
4255 isl_map
*schedule
, *shift
, *map
;
4257 isl_id_list
*iterators
;
4260 shift
= shift_access(group
);
4262 schedule
= isl_map_copy(shift
);
4263 schedule
= isl_map_reset_tuple_id(schedule
, isl_dim_out
);
4265 schedule
= tile_access_schedule(gen
, schedule
);
4267 n
= isl_map_dim(schedule
, isl_dim_out
);
4268 set
= isl_set_universe(isl_ast_build_get_schedule_space(build
));
4269 set
= add_bounded_parameters(set
, gen
->kernel
->n_block
,
4270 gen
->kernel
->block_dim
, "t");
4272 schedule
= isl_map_range_product(sched
, schedule
);
4274 space
= isl_space_domain(isl_map_get_space(shift
));
4275 map
= isl_map_range_map(isl_map_universe(isl_space_unwrap(space
)));
4276 map
= isl_map_range_product(map
, shift
);
4278 schedule
= isl_map_apply_domain(schedule
, map
);
4280 schedule
= isl_map_set_tuple_name(schedule
, isl_dim_in
, type
);
4282 build
= isl_ast_build_restrict(build
, set
);
4284 gen
->copy_group
= group
;
4287 space
= isl_space_range(isl_map_get_space(schedule
));
4288 space
= isl_space_range(isl_space_unwrap(space
));
4289 build
= set_unroll(build
, space
, 0);
4291 iterators
= generate_names(gen
->ctx
, n
, "c");
4292 build
= isl_ast_build_set_iterators(build
, iterators
);
4293 build
= isl_ast_build_set_at_each_domain(build
, &attach_copy_stmt
, gen
);
4294 tree
= isl_ast_build_ast_from_schedule(build
,
4295 isl_union_map_from_map(schedule
));
4296 isl_ast_build_free(build
);
4301 /* Return code for reading into or writing from shared memory
4302 * the given array reference group.
4304 * If we are performing a read from global memory to shared memory and
4305 * if the array involved is not a scalar, then we copy
4306 * the entire tile to shared memory. This may result in some extra
4307 * elements getting copied, but it should lead to simpler code
4308 * (which means that fewer registers may be needed) and less divergence.
4310 * Otherwise, we only copy the elements that will be read or have been written
4314 * The input "sched" is of the form.
4318 * with S the first shared_len dimensions of the computed schedule,
4319 * A the array and L the schedule correponding to the generated loops.
4321 * We first drop "type",
4325 * If the above conditions are satisfied, we project out A,
4330 * and then introduce the group tile [S -> T], resulting in
4334 static __isl_give isl_ast_node
*copy_group_shared_accesses(
4335 struct gpu_gen
*gen
, struct gpu_array_ref_group
*group
,
4336 __isl_take isl_map
*sched
, __isl_take isl_ast_build
*build
)
4340 isl_union_map
*access
;
4342 type
= isl_map_get_tuple_name(sched
, isl_dim_in
);
4343 read
= !strcmp(type
, "read");
4345 sched
= isl_map_reset_tuple_id(sched
, isl_dim_in
);
4347 if (read
&& !gpu_array_is_scalar(group
->array
)) {
4351 space
= isl_space_domain(isl_map_get_space(sched
));
4352 space
= isl_space_unwrap(space
);
4353 map
= isl_map_domain_map(isl_map_universe(space
));
4354 sched
= isl_map_apply_domain(sched
, map
);
4356 map
= group_tile(group
);
4357 map
= isl_map_reverse(isl_map_domain_map(map
));
4358 sched
= isl_map_apply_domain(sched
, map
);
4361 return copy_access(gen
, sched
, type
, group
, build
, 0);
4364 /* Return code for reading into or writing from private memory
4365 * the given array reference group.
4367 * Let S be the first shared_len dimensions of the computed schedule,
4368 * D the iteration domains, A the array and L the schedule correponding
4369 * to the generated loops.
4370 * "sched" is of the form
4374 * where type is either "read" or "write".
4375 * We apply the privatization D -> S(t), with t the thread ids,
4376 * to the access relation D -> A to obtain the privatized access relation
4380 * We drop the type from "sched" and intersect with the privatized access
4381 * relation to obtain
4385 static __isl_give isl_ast_node
*copy_group_private_accesses(
4386 struct gpu_gen
*gen
, struct gpu_array_ref_group
*group
,
4387 __isl_take isl_map
*sched
, __isl_take isl_ast_build
*build
)
4391 isl_union_map
*priv
;
4392 isl_union_map
*access
;
4393 isl_map
*access_map
;
4395 type
= isl_map_get_tuple_name(sched
, isl_dim_in
);
4396 read
= !strcmp(type
, "read");
4398 priv
= isl_union_map_from_map(isl_map_copy(gen
->privatization
));
4399 priv
= isl_union_map_apply_range(isl_union_map_copy(gen
->shared_sched
),
4402 access
= group_access_relation(group
, read
, !read
);
4403 access
= isl_union_map_apply_domain(access
, priv
);
4404 access_map
= isl_map_from_union_map(access
);
4406 sched
= isl_map_reset_tuple_id(sched
, isl_dim_in
);
4407 sched
= isl_map_intersect_domain(sched
, isl_map_wrap(access_map
));
4409 return copy_access(gen
, sched
, type
, group
, build
, 1);
4412 /* Return code for reading into or writing from shared or private memory.
4414 * "schedule" is of the form
4418 * with S be the first shared_len dimensions of the computed schedule,
4419 * A the array and L the schedule correponding to the generated loops.
4420 * The array reference group is attached to "type".
4422 static __isl_give isl_ast_node
*create_access_leaf(
4423 struct gpu_gen
*gen
, __isl_take isl_map
*schedule
,
4424 __isl_take isl_ast_build
*build
)
4426 struct gpu_array_ref_group
*group
;
4429 id
= isl_map_get_tuple_id(schedule
, isl_dim_in
);
4430 group
= isl_id_get_user(id
);
4433 if (group
->private_tile
)
4434 return copy_group_private_accesses(gen
, group
, schedule
,
4437 return copy_group_shared_accesses(gen
, group
, schedule
,
4441 /* Create a domain node representing a synchronization.
4443 static __isl_give isl_ast_node
*create_sync_leaf(
4444 struct gpu_gen
*gen
, __isl_take isl_map
*schedule
,
4445 __isl_take isl_ast_build
*build
)
4447 struct ppcg_kernel_stmt
*stmt
;
4453 isl_map_free(schedule
);
4455 stmt
= isl_calloc_type(gen
->ctx
, struct ppcg_kernel_stmt
);
4459 stmt
->type
= ppcg_kernel_sync
;
4461 space
= isl_ast_build_get_schedule_space(build
);
4462 space
= isl_space_from_domain(space
);
4463 space
= isl_space_set_tuple_name(space
, isl_dim_out
, "sync");
4464 expr
= isl_ast_build_call_from_pw_multi_aff(build
,
4465 isl_pw_multi_aff_from_multi_aff(isl_multi_aff_zero(space
)));
4466 node
= isl_ast_node_alloc_user(expr
);
4467 isl_ast_build_free(build
);
4469 id
= isl_id_alloc(gen
->ctx
, NULL
, stmt
);
4470 id
= isl_id_set_free_user(id
, &ppcg_kernel_stmt_free
);
4471 return isl_ast_node_set_annotation(node
, id
);
4474 /* This function is called during the code generation at the point
4475 * where the schedule domain element is completely determined by
4476 * the generated code. The input schedule contains the original
4477 * statements as well as synchronization and copy "statements".
4478 * The latter are scheduled at different points than any of the original
4479 * statements, so they will only arrive here in isolation.
4481 * If the current schedule only refers to a single statement,
4482 * we check if it is a copy or synchronization statement and
4483 * call the appropriate functions.
4484 * Otherwise, we assume we are dealing with the original statements
4485 * and we call create_domain_leaf.
4487 static __isl_give isl_ast_node
*create_kernel_leaf(
4488 __isl_take isl_ast_build
*build
, void *user
)
4490 struct gpu_gen
*gen
= (struct gpu_gen
*) user
;
4492 isl_union_map
*schedule
;
4495 schedule
= isl_ast_build_get_schedule(build
);
4497 if (isl_union_map_n_map(schedule
) != 1)
4498 return create_domain_leaf(schedule
, build
, user
);
4500 map
= isl_map_from_union_map(schedule
);
4501 name
= isl_map_get_tuple_name(map
, isl_dim_in
);
4502 if (!strcmp(name
, "read") || !strcmp(name
, "write"))
4503 return create_access_leaf(gen
, map
, build
);
4504 if (!strcmp(name
, "sync"))
4505 return create_sync_leaf(gen
, map
, build
);
4507 return create_domain_leaf(isl_union_map_from_map(map
), build
, user
);
4510 /* Mark all odd schedule dimensions as "atomic" (when the even dimensions
4511 * have value 0) and all even schedule dimensions as "unroll".
4513 * That is, the options look as follows
4515 * { [0, b, 0, d, ..., 0] -> atomic[i] : exists a : i = 2 a + 1;
4516 * [a, b, c, d, ..., z] -> unroll[i] : exists a : i = 2 a }
4518 * The even positions are used to be able to schedule copying blocks
4519 * and synchronization before or after each level of the shared memory
4520 * tile loops and we want to make sure that code for these is generated
4521 * separately (within each level).
4523 static __isl_give isl_ast_build
*set_atomic_and_unroll(
4524 __isl_take isl_ast_build
*build
,
4525 __isl_take isl_space
*space
, int sched_len
)
4531 isl_local_space
*ls
;
4534 ctx
= isl_ast_build_get_ctx(build
);
4536 space
= isl_space_params(space
);
4537 space
= isl_space_add_dims(space
, isl_dim_set
, sched_len
);
4538 space
= isl_space_from_domain(space
);
4539 space
= isl_space_add_dims(space
, isl_dim_out
, 2);
4540 map
= isl_map_universe(isl_space_copy(space
));
4541 for (i
= 0; i
< sched_len
; i
+= 2)
4542 map
= isl_map_fix_si(map
, isl_dim_in
, i
, 0);
4543 ls
= isl_local_space_from_space(isl_map_get_space(map
));
4544 c
= isl_equality_alloc(ls
);
4545 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, 0, 1);
4546 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, 1, 2);
4547 c
= isl_constraint_set_constant_si(c
, 1);
4548 map
= isl_map_add_constraint(map
, c
);
4549 map
= isl_map_project_out(map
, isl_dim_out
, 1, 1);
4550 map
= isl_map_set_tuple_name(map
, isl_dim_out
, "atomic");
4551 opt
= isl_union_map_from_map(map
);
4553 map
= isl_map_universe(space
);
4554 ls
= isl_local_space_from_space(isl_map_get_space(map
));
4555 c
= isl_equality_alloc(ls
);
4556 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, 0, 1);
4557 c
= isl_constraint_set_coefficient_si(c
, isl_dim_out
, 1, 2);
4558 map
= isl_map_add_constraint(map
, c
);
4559 map
= isl_map_project_out(map
, isl_dim_out
, 1, 1);
4560 map
= isl_map_set_tuple_name(map
, isl_dim_out
, "unroll");
4561 opt
= isl_union_map_add_map(opt
, map
);
4563 build
= isl_ast_build_set_options(build
, opt
);
4568 /* Return a map that maps a space of dimension gen->shared_len
4569 * to its last dimensions starting at gen->tile_first.
4570 * The range is of dimension
4572 * 2 * (gen->shared_len - gen->tile_first) + 1
4574 * The input dimensions are mapped to the odd dimensions in the output,
4575 * while the even dimensions (except 2*pos) are fixed to 0.
4576 * Output dimension 2*pos (if pos >= 0) is fixed to "val".
4577 * If pos >= 0, then only the pos first dimensions starting at gen->tile_first
4578 * are mapped to the output. The remaining input dimensions are projected
4579 * out and the corresponding output dimensions are fixed to 0.
4581 static __isl_give isl_map
*insert_even(struct gpu_gen
*gen
,
4582 __isl_take isl_space
*space
, int pos
, int val
)
4587 space
= isl_space_set_from_params(space
);
4588 space
= isl_space_add_dims(space
, isl_dim_set
, gen
->shared_len
);
4589 space
= isl_space_map_from_set(space
);
4590 proj
= isl_map_identity(space
);
4591 proj
= isl_map_project_out(proj
, isl_dim_out
, 0, gen
->tile_first
);
4592 n
= gen
->shared_len
- gen
->tile_first
;
4593 for (i
= 0; i
<= n
; ++i
) {
4594 proj
= isl_map_insert_dims(proj
, isl_dim_out
, 2 * i
, 1);
4596 proj
= isl_map_fix_si(proj
, isl_dim_out
, 2 * i
, val
);
4598 proj
= isl_map_fix_si(proj
, isl_dim_out
, 2 * i
, 0);
4604 proj
= isl_map_eliminate(proj
, isl_dim_in
, gen
->tile_first
+ pos
,
4605 gen
->shared_len
- (gen
->tile_first
+ pos
));
4606 for (i
= pos
; i
< n
; ++i
)
4607 proj
= isl_map_fix_si(proj
, isl_dim_out
, 2 * i
+ 1, 0);
4612 /* Given the AST context schedule "schedule" and the mapping from
4613 * domains to the shared tile loops "shared_sched", add a schedule
4614 * for a synchronization operation at position "val" of loop level "pos".
4616 * schedule is of the form
4620 * (with D the iteration domains and L the already generated loops),
4621 * while shared_sched is of the form
4625 * We combine them into
4631 * [s_0,...] -> [0,s_{tile_first},0,..., val, 0, 0, ... 0]
4633 * and use the result as a schedule for "sync".
4635 static __isl_give isl_union_map
*add_sync_schedule(struct gpu_gen
*gen
,
4636 __isl_take isl_union_map
*res
, __isl_keep isl_union_map
*schedule
,
4637 __isl_keep isl_union_map
*shared_sched
, int pos
, int val
)
4640 isl_map
*proj
, *map
;
4642 shared_sched
= isl_union_map_copy(shared_sched
);
4643 schedule
= isl_union_map_copy(schedule
);
4645 space
= isl_union_map_get_space(shared_sched
);
4646 schedule
= isl_union_map_apply_domain(shared_sched
, schedule
);
4647 map
= isl_map_from_union_map(schedule
);
4649 proj
= insert_even(gen
, space
, pos
, val
);
4650 map
= isl_map_apply_range(map
, proj
);
4651 map
= isl_map_from_range(isl_map_wrap(map
));
4652 map
= isl_map_set_tuple_name(map
, isl_dim_in
, "sync");
4654 res
= isl_union_map_add_map(res
, map
);
4659 /* Given a set of wrapped references "ref", return the corresponding
4660 * access relations based on the tagged access relations "tagged".
4662 * The elements of "ref" are of the form
4666 * with D an iteration domains and R a reference.
4667 * The elements of "tagged" are of the form
4673 * Extend "tagged" to include the iteration domain in the range, i.e.,
4675 * [D -> R] -> [D -> A]
4677 * apply the result to "ref" and then unwrap the resulting set
4678 * to obtain relations of the form
4682 static __isl_give isl_union_map
*wrapped_reference_to_access(
4683 __isl_take isl_union_set
*ref
, __isl_take isl_union_map
*tagged
)
4685 isl_union_map
*tag2access
;
4687 tag2access
= isl_union_map_copy(tagged
);
4688 tag2access
= isl_union_map_universe(tag2access
);
4689 tag2access
= isl_union_set_unwrap(isl_union_map_domain(tag2access
));
4690 tag2access
= isl_union_map_domain_map(tag2access
);
4691 tag2access
= isl_union_map_range_product(tag2access
, tagged
);
4693 ref
= isl_union_set_coalesce(ref
);
4694 ref
= isl_union_set_apply(ref
, tag2access
);
4696 return isl_union_set_unwrap(ref
);
4699 /* Given an access relation "access" from "group", remove those reads
4700 * if ("read" is 1) or writes (if "read" is 0) that are only needed to
4701 * communicate data within the same iteration of the last_shared dimension
4704 * If the access is a read then it is necessarily an element of
4706 * live_in union (range flow)
4708 * where live_in and flow may be overapproximations.
4709 * If the access is a write then it is necessarily an element of
4711 * live_out union (domain flow)
4713 * In both cases, the access relation is also a subset of
4714 * the group access relation.
4716 * Essentially, we compute the intersection of "access" with either
4718 * live_in union (range non-local-flow)
4722 * live_out union (domain non-local-flow)
4724 * We first construct a relation "local"
4726 * [[D -> R] -> [D' -> R']]
4728 * of pairs of domain iterations accessing the reference group
4729 * and references in the group that are scheduled to the same iteration
4730 * of the last_shared dimension.
4732 * If this relation does not intersect the dataflow dependences,
4733 * then there is nothing we can possibly remove and we simply
4736 * Otherwise, we remove the "local" dataflow dependences from
4737 * the set of all dataflow dependences.
4738 * Note that if the potential dataflow dependences are an overapproximation
4739 * of the actual dataflow dependences, then the result remains an
4740 * overapproximation of the non-local dataflow dependences.
4741 * Copying to/from global memory is only needed for the references
4742 * in the domain/range of the result or for accesses that are live out/in
4743 * for the entire scop.
4745 * We therefore map the domain/range of the "external" relation
4746 * to the corresponding access relation and take the union with
4747 * the live out/in relation.
4749 static __isl_give isl_union_map
*remove_local_accesses(struct gpu_gen
*gen
,
4750 struct gpu_array_ref_group
*group
, __isl_take isl_union_map
*access
,
4754 isl_union_map
*tagger
;
4755 isl_union_set
*domain
;
4757 isl_union_map
*sched
, *local
, *tagged
, *external
;
4758 isl_union_set
*tag_set
;
4761 if (isl_union_map_is_empty(access
))
4764 tagged
= group_tagged_access_relation(group
);
4766 sched
= isl_union_map_copy(gen
->sched
);
4768 space
= isl_union_map_get_space(sched
);
4769 proj
= projection(space
, gen
->untiled_len
, group
->last_shared
+ 1);
4770 sched
= isl_union_map_apply_range(sched
, isl_union_map_from_map(proj
));
4772 tagger
= isl_union_map_copy(gen
->prog
->scop
->tagger
);
4773 domain
= isl_union_map_domain(isl_union_map_copy(tagged
));
4774 tagger
= isl_union_map_intersect_range(tagger
, domain
);
4775 sched
= isl_union_map_apply_domain(sched
, tagger
);
4777 local
= isl_union_map_apply_range(sched
,
4778 isl_union_map_reverse(isl_union_map_copy(sched
)));
4779 local
= isl_union_map_intersect(local
,
4780 isl_union_map_copy(gen
->prog
->scop
->tagged_dep_flow
));
4782 empty
= isl_union_map_is_empty(local
);
4783 if (empty
< 0 || empty
) {
4784 isl_union_map_free(tagged
);
4785 isl_union_map_free(local
);
4787 return isl_union_map_free(access
);
4791 external
= isl_union_map_copy(gen
->prog
->scop
->tagged_dep_flow
);
4792 external
= isl_union_map_intersect_params(external
,
4793 isl_set_copy(gen
->prog
->scop
->context
));
4794 external
= isl_union_map_subtract(external
, local
);
4797 tag_set
= isl_union_map_range(external
);
4798 external
= wrapped_reference_to_access(tag_set
, tagged
);
4799 external
= isl_union_map_union(external
,
4800 isl_union_map_copy(gen
->prog
->scop
->live_in
));
4802 tag_set
= isl_union_map_domain(external
);
4803 external
= wrapped_reference_to_access(tag_set
, tagged
);
4804 external
= isl_union_map_union(external
,
4805 isl_union_map_copy(gen
->prog
->scop
->live_out
));
4808 access
= isl_union_map_intersect(access
, external
);
4813 /* Given the AST context schedule "schedule" and the mapping from
4814 * domains to the shared tile loops "shared_sched", add a schedule
4815 * for copying an array reference group to/from shared/private memory.
4816 * "read" is set if data should be copied from global memory
4817 * to shared/private memory.
4818 * "k" represents the current group
4819 * "s" is the total number of groups
4821 * We schedule an operation before or after the innermost loop
4822 * of "shared_sched" that affects the tile of the array reference group.
4824 * schedule is of the form
4828 * (with D the iteration domains and L the already generated loops),
4829 * while shared_sched is of the form
4833 * We first compute the access relation for the reference group
4837 * and remove from this access relation those reads or writes
4838 * that only needed to communicate data within the same iteration
4839 * of the last_shared dimension of the group.
4840 * We then combine what is left with shared_sched into
4844 * If this results in an empty relation, no copying needs to be performed
4846 * Otherwise, we invert the relation and combine it with "schedule" into
4850 * The actual additional piece of the schedule is obtained from combining
4856 * [s_0,...] -> [0,s_{tile_first},0,..., val, 0, 0, ... 0]
4858 * The position of "val" corresponds to the innermost loop that affects
4859 * the tile and the value indicates where the copying is scheduled
4860 * with respect to the actual kernel code (at value 0).
4861 * Reads are schedule before the code, writes to global memory from
4862 * private memory are scheduled at values 1 to s, writes to global
4863 * memory from shared memory are scheduled at values s + 2 to 2 * s + 1.
4865 * If we are scheduling a read from global memory to shared memory,
4866 * we insert a synchronization before the kernel code (at the innermost
4868 * If we are scheduling a write to global memory, then we add
4869 * a synchronization after all writes (at value 2 *s + 2).
4870 * However, there is no need for a synchronization after the outermost loop.
4871 * A write to global memory from private memory at the innermost level
4872 * does not require a synchronization, because it is covered by
4873 * the synchronization after the kernel inserted by body_schedule.
4875 static __isl_give isl_union_map
*add_group_schedule(struct gpu_gen
*gen
,
4876 __isl_take isl_union_map
*res
, __isl_keep isl_union_map
*schedule
,
4877 __isl_keep isl_union_map
*shared_sched
,
4878 struct gpu_array_ref_group
*group
, int read
, int k
, int s
)
4883 isl_union_map
*access
;
4884 isl_map
*map
, *proj
, *access_map
;
4887 access
= group_access_relation(group
, read
, !read
);
4888 access
= remove_local_accesses(gen
, group
, access
, read
);
4889 access
= isl_union_map_range_product(isl_union_map_copy(shared_sched
),
4892 if (isl_union_map_is_empty(access
)) {
4893 isl_union_map_free(access
);
4897 access
= isl_union_map_reverse(access
);
4898 access
= isl_union_map_apply_range(access
,
4899 isl_union_map_copy(schedule
));
4900 access_map
= isl_map_from_union_map(access
);
4902 space
= isl_space_copy(group
->array
->space
);
4903 space
= isl_space_from_range(space
);
4904 space
= isl_space_add_dims(space
, isl_dim_in
, gen
->shared_len
);
4905 map
= isl_map_domain_map(isl_map_universe(space
));
4907 space
= isl_union_map_get_space(schedule
);
4908 pos
= group
->last_shared
+ 1 - gen
->tile_first
;
4912 else if (group
->private_tile
)
4915 val
= 1 + s
+ 1 + k
;
4916 proj
= insert_even(gen
, space
, pos
, val
);
4917 map
= isl_map_apply_range(map
, proj
);
4919 access_map
= isl_map_range_product(access_map
, map
);
4921 id
= isl_id_alloc(gen
->ctx
, read
? "read" : "write", group
);
4922 access_map
= isl_map_set_tuple_id(access_map
, isl_dim_in
, id
);
4924 res
= isl_union_map_add_map(res
, access_map
);
4926 n
= gen
->shared_len
- gen
->tile_first
;
4928 if (!group
->private_tile
)
4929 res
= add_sync_schedule(gen
, res
, schedule
,
4930 shared_sched
, n
, -1);
4934 if (pos
== n
&& group
->private_tile
)
4936 res
= add_sync_schedule(gen
, res
, schedule
, shared_sched
,
4943 /* Return a schedule for the shared tile loops based on the current
4944 * AST context schedule.
4946 * We create a "shared_sched" that maps the domains to the first
4947 * shared_len dimensions of the computed schedule, project out the
4948 * first tile_first dimensions (as these are already covered by
4949 * the host code) and insert "statement-level" dimensions at even
4950 * positions so that we can schedule copy blocks and synchronization
4951 * before/after each level.
4953 * In particular, copy blocks are inserted inside the innermost
4954 * level that affect the tile. For the copying to global memory,
4955 * those from private memory are scheduled before those from shared
4956 * memory such that synchronization can be inserted between the two
4957 * at the innermost level.
4958 * Synchronization is inserted at the innermost level before the
4959 * actual kernel code if there is any copying from global memory
4960 * to shared memory. It is inserted unconditionally at the innermost
4961 * level after the actual kernel code and the copying to global memory
4962 * from private memory (if any). Finally, it is inserted after
4963 * any copying to global memory, except at the outermost level
4964 * and at the innermost level if there is no copying from shared
4965 * memory. The copying from private memory is covered by the unconditional
4966 * synchronization at the innermost level.
4968 static __isl_give isl_union_map
*body_schedule(struct gpu_gen
*gen
,
4969 __isl_take isl_union_map
*schedule
)
4973 isl_union_map
*shared_sched
;
4974 isl_union_map
*sched
;
4975 isl_map
*proj
, *map
;
4978 shared_sched
= isl_union_map_copy(gen
->tiled_sched
);
4979 proj
= projection(isl_union_map_get_space(shared_sched
),
4980 gen
->tiled_len
, gen
->shared_len
);
4981 shared_sched
= isl_union_map_apply_range(shared_sched
,
4982 isl_union_map_from_map(proj
));
4983 space
= isl_union_map_get_space(shared_sched
);
4984 proj
= insert_even(gen
, space
, -1, 0);
4985 sched
= isl_union_map_apply_range(isl_union_map_copy(shared_sched
),
4986 isl_union_map_from_map(proj
));
4988 res
= isl_union_map_range_product(isl_union_map_copy(schedule
), sched
);
4991 for (i
= 0; i
< gen
->prog
->n_array
; ++i
)
4992 s
+= gen
->prog
->array
[i
].n_group
;
4995 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
4996 struct gpu_array_info
*array
= &gen
->prog
->array
[i
];
4998 for (j
= 0; j
< array
->n_group
; ++j
) {
4999 struct gpu_array_ref_group
*group
;
5001 group
= array
->groups
[j
];
5002 if (!group
->private_tile
&& !group
->shared_tile
)
5004 res
= add_group_schedule(gen
, res
, schedule
,
5005 shared_sched
, group
, 0, k
, s
);
5006 res
= add_group_schedule(gen
, res
, schedule
,
5007 shared_sched
, group
, 1, k
, s
);
5012 res
= add_sync_schedule(gen
, res
, schedule
, shared_sched
,
5013 gen
->shared_len
- gen
->tile_first
, 1 + s
);
5015 isl_union_map_free(shared_sched
);
5016 isl_union_map_free(schedule
);
5021 /* Generate code for "kernel" in the given "context".
5023 * We first generate code for the shared tile loops (T1T, T1P and T2)
5024 * in a context that includes the block ids.
5025 * Within each iteration of these loops an additional code generation
5026 * is performed (within create_kernel_leaf) for the rest of the schedule
5027 * in a context that includes the thread ids.
5029 static __isl_give isl_ast_node
*generate_kernel(struct gpu_gen
*gen
,
5030 __isl_keep isl_ast_build
*build
, __isl_keep isl_set
*host_domain
,
5031 __isl_keep isl_multi_pw_aff
*grid_size
)
5035 isl_id_list
*iterators
;
5036 isl_union_map
*schedule
;
5040 schedule
= isl_ast_build_get_schedule(build
);
5042 build
= isl_ast_build_copy(build
);
5043 build
= isl_ast_build_restrict(build
, isl_set_copy(host_domain
));
5044 space
= isl_ast_build_get_schedule_space(build
);
5045 set
= isl_set_universe(isl_space_copy(space
));
5046 set
= add_bounded_parameters_dynamic(set
, grid_size
, "b");
5047 build
= isl_ast_build_restrict(build
, set
);
5049 schedule
= body_schedule(gen
, schedule
);
5051 sched_len
= 2 * (gen
->shared_len
- gen
->tile_first
) + 1;
5053 build
= set_atomic_and_unroll(build
, space
, sched_len
);
5054 iterators
= generate_names(gen
->ctx
, sched_len
, "g");
5055 build
= isl_ast_build_set_iterators(build
, iterators
);
5056 build
= isl_ast_build_set_create_leaf(build
, &create_kernel_leaf
, gen
);
5057 tree
= isl_ast_build_ast_from_schedule(build
, schedule
);
5058 isl_ast_build_free(build
);
5063 /* Attach "id" to the given node.
5065 static __isl_give isl_ast_node
*attach_id(__isl_take isl_ast_node
*node
,
5066 __isl_keep isl_ast_build
*build
, void *user
)
5070 node
= isl_ast_node_set_annotation(node
, id
);
5075 /* Construct an AST node for performing a kernel launch and attach
5076 * the information about the kernel to that node.
5078 * The kernel AST has been constructed in the context of the range
5079 * of "schedule". In particular, the grid size has been computed
5080 * in the context. We therefore still need to make sure that these
5081 * constraints are expressed in the code. We do this by creating a schedule
5083 * kernel[] -> [S -> []]
5085 * where S is the schedule domain, i.e., the range of "schedule".
5086 * The AST generation will then create a single call surrounded by
5087 * all the condition in "S" that have not been expressed yet.
5089 * The kernel information is attached to this node in attach_id.
5091 static __isl_give isl_ast_node
*construct_launch(
5092 __isl_take isl_ast_build
*build
, __isl_take isl_union_map
*schedule
,
5093 __isl_take
struct ppcg_kernel
*kernel
)
5097 isl_union_set
*domain
;
5102 ctx
= isl_ast_build_get_ctx(build
);
5104 id
= isl_id_alloc(ctx
, NULL
, kernel
);
5105 id
= isl_id_set_free_user(id
, &ppcg_kernel_free
);
5107 domain
= isl_union_map_range(schedule
);
5108 set
= isl_set_from_union_set(domain
);
5109 map
= isl_map_from_domain(set
);
5110 map
= isl_map_from_range(isl_map_wrap(map
));
5111 map
= isl_map_set_tuple_name(map
, isl_dim_in
, "kernel");
5112 schedule
= isl_union_map_from_map(map
);
5114 build
= isl_ast_build_set_at_each_domain(build
, &attach_id
, id
);
5115 node
= isl_ast_build_ast_from_schedule(build
, schedule
);
5116 isl_ast_build_free(build
);
5121 /* This function is called for each leaf in the AST of the host code.
5122 * We first specialize the schedule to the site of the leaf, compute
5123 * the size of shared memory and then construct the body of the host code
5124 * and the associated kernel.
5126 * The necessary information for printing the kernel launch is
5127 * stored in a struct ppcg_kernel and attached to the leaf node
5128 * created to represent the launch.
5130 static __isl_give isl_ast_node
*create_host_leaf(
5131 __isl_take isl_ast_build
*build
, void *user
)
5133 struct gpu_gen
*gen
= (struct gpu_gen
*) user
;
5136 struct ppcg_kernel
*kernel
;
5137 isl_set
*host_domain
;
5138 isl_union_map
*schedule
;
5139 isl_union_map
*local_sched
;
5140 isl_union_map
*access
;
5141 isl_union_set
*domain
;
5144 schedule
= isl_ast_build_get_schedule(build
);
5146 isl_union_map_foreach_map(schedule
, &extract_tile_len
, gen
);
5149 domain
= isl_union_map_domain(isl_union_map_copy(schedule
));
5151 local_sched
= isl_union_map_copy(gen
->sched
);
5152 local_sched
= isl_union_map_intersect_domain(local_sched
, domain
);
5153 access
= isl_union_map_union(isl_union_map_copy(gen
->prog
->read
),
5154 isl_union_map_copy(gen
->prog
->may_write
));
5155 access
= isl_union_map_apply_domain(access
,
5156 isl_union_map_copy(local_sched
));
5158 gen
->tiled_sched
= tile_schedule(gen
, local_sched
);
5159 gen
->tiled_sched
= parametrize_tiled_schedule(gen
, gen
->tiled_sched
);
5160 gen
->tiled_sched
= scale_tile_loops(gen
, gen
->tiled_sched
);
5162 gen
->local_sched
= isl_union_map_copy(gen
->tiled_sched
);
5163 gen
->local_sched
= thread_tile_schedule(gen
, gen
->local_sched
);
5164 gen
->local_sched
= scale_thread_tile_loops(gen
, gen
->local_sched
);
5166 kernel
= gen
->kernel
= isl_calloc_type(gen
->ctx
, struct ppcg_kernel
);
5170 kernel
->id
= gen
->kernel_id
++;
5171 kernel
->context
= isl_union_map_params(isl_union_map_copy(schedule
));
5172 kernel
->grid_size
= extract_grid_size(gen
, kernel
);
5173 extract_block_size(gen
, kernel
);
5174 kernel
->arrays
= isl_union_map_range(access
);
5175 kernel
->arrays
= isl_union_set_apply(kernel
->arrays
,
5176 isl_union_map_copy(gen
->prog
->to_outer
));
5177 kernel
->space
= isl_ast_build_get_schedule_space(build
);
5179 gen
->private_access
= NULL
;
5180 compute_shared_sched(gen
);
5181 gen
->privatization
= compute_privatization(gen
);
5182 check_scalar_live_ranges(gen
);
5183 if (group_references(gen
) < 0)
5184 schedule
= isl_union_map_free(schedule
);
5185 compute_private_access(gen
);
5186 host_domain
= isl_set_from_union_set(isl_union_map_range(
5187 isl_union_map_copy(schedule
)));
5188 localize_bounds(gen
, kernel
, host_domain
);
5190 gen
->local_sched
= interchange_for_unroll(gen
, gen
->local_sched
);
5191 check_shared_memory_bound(gen
);
5192 compute_group_tilings(gen
);
5194 kernel
->tree
= generate_kernel(gen
, build
, host_domain
,
5196 create_kernel_vars(gen
, kernel
);
5198 free_local_array_info(gen
);
5199 isl_map_free(gen
->privatization
);
5200 isl_union_map_free(gen
->private_access
);
5201 isl_union_map_free(gen
->local_sched
);
5202 isl_union_map_free(gen
->tiled_sched
);
5203 isl_union_map_free(gen
->shared_sched
);
5204 isl_union_map_free(gen
->shared_proj
);
5205 isl_set_free(host_domain
);
5206 free(gen
->tile_size
);
5208 node
= construct_launch(build
, schedule
, kernel
);
5212 isl_union_map_free(schedule
);
5216 /* Use isl to generate code for the outer gen->tile_first loops
5217 * of the global schedule in gen->sched, resulting in the host code.
5218 * Within each iteration of this partial schedule, i.e., for each kernel
5219 * launch, create_host_leaf takes care of generating the kernel code.
5221 static __isl_give isl_ast_node
*generate_host_code(struct gpu_gen
*gen
)
5223 isl_ast_build
*build
;
5225 isl_union_map
*sched
;
5227 isl_id_list
*iterators
;
5229 sched
= isl_union_map_copy(gen
->sched
);
5230 proj
= projection(isl_union_map_get_space(sched
),
5231 gen
->untiled_len
, gen
->tile_first
);
5232 sched
= isl_union_map_apply_range(sched
, isl_union_map_from_map(proj
));
5234 isl_options_set_ast_build_group_coscheduled(gen
->ctx
, 1);
5235 build
= isl_ast_build_from_context(isl_set_copy(gen
->prog
->context
));
5236 iterators
= generate_names(gen
->ctx
, gen
->tile_first
, "h");
5237 build
= isl_ast_build_set_iterators(build
, iterators
);
5238 build
= isl_ast_build_set_create_leaf(build
, &create_host_leaf
, gen
);
5239 tree
= isl_ast_build_ast_from_schedule(build
, sched
);
5240 isl_ast_build_free(build
);
5245 __isl_give isl_union_map
*extract_sizes_from_str(isl_ctx
*ctx
, const char *str
)
5249 return isl_union_map_read_from_str(ctx
, str
);
5252 /* Information about the outermost tilable bands in the forest of bands.
5254 * tile_len and n_parallel are only sets on band_info structures
5255 * that correspond to outermost bands. For other bands (in particular,
5256 * ancestors of the outermost bands), n_parallal is set to 0.
5258 * prefix is the (padded) schedule leading up to the outermost tilable bands.
5260 * tile_first is the number of schedule dimensions in prefix.
5262 * suffix is the schedule of the outermost tilable bands and their descendants.
5265 struct gpu_gen
*gen
;
5269 isl_union_map
*prefix
;
5270 isl_union_map
*suffix
;
5273 /* Set tile_len and n_parallel of the statement to that of
5274 * their outermost band, recorded in the band_info.
5276 static int set_stmt_tile_len(__isl_take isl_map
*map
, void *user
)
5278 struct band_info
*info
= user
;
5279 struct gpu_stmt
*stmt
;
5282 id
= isl_map_get_tuple_id(map
, isl_dim_in
);
5283 stmt
= find_stmt(info
->gen
->prog
, id
);
5286 stmt
->tile_len
= info
->tile_len
;
5287 stmt
->n_parallel
= info
->n_parallel
;
5294 static void list_select_outer_band(struct gpu_gen
*gen
,
5295 __isl_take isl_band_list
*list
, int pos
, struct band_info
*list_info
);
5297 /* Check if this band has any parallel loops. If so, take it as
5298 * the outermost tilable band. If not, continue looking for the
5299 * outermost tilable band in the children of the current band.
5301 static void band_select_outer_band(struct gpu_gen
*gen
,
5302 __isl_take isl_band
*band
, int pos
, struct band_info
*info
)
5304 int n
= isl_band_n_member(band
);
5307 for (n_parallel
= 0; n_parallel
< n
; ++n_parallel
)
5308 if (!isl_band_member_is_coincident(band
, n_parallel
))
5311 info
->n_parallel
= n_parallel
;
5313 gen
->any_parallelism
= 1;
5315 info
->tile_first
= pos
;
5317 info
->prefix
= isl_band_get_prefix_schedule(band
);
5318 info
->suffix
= isl_union_map_flat_range_product(
5319 isl_band_get_partial_schedule(band
),
5320 isl_band_get_suffix_schedule(band
));
5321 isl_union_map_foreach_map(info
->prefix
,
5322 &set_stmt_tile_len
, info
);
5323 } else if (isl_band_has_children(band
)) {
5324 isl_band_list
*children
;
5325 children
= isl_band_get_children(band
);
5326 list_select_outer_band(gen
, children
, pos
+ n
, info
);
5329 info
->tile_first
= pos
+ n
;
5331 info
->prefix
= isl_union_map_flat_range_product(
5332 isl_band_get_prefix_schedule(band
),
5333 isl_band_get_partial_schedule(band
));
5334 info
->suffix
= isl_band_get_suffix_schedule(band
);
5335 isl_union_map_foreach_map(info
->prefix
,
5336 &set_stmt_tile_len
, info
);
5339 isl_band_free(band
);
5342 /* Comparison function that returns a non-zero value for band_infos
5343 * with different tile_len fields or different n_parallel fields.
5345 static int cmp_band(const void *p1
, const void *p2
)
5347 const struct band_info
*info1
= p1
;
5348 const struct band_info
*info2
= p2
;
5350 if (info1
->tile_len
!= info2
->tile_len
)
5351 return info1
->tile_len
- info2
->tile_len
;
5353 return info1
->n_parallel
- info2
->n_parallel
;
5356 /* Extend "umap" with coordinates with fixed value "val"
5357 * to a total length of "dst_len", assuming the original dimension is "src_len".
5359 static __isl_give isl_union_map
*extend_range(
5360 __isl_take isl_union_map
*umap
, int src_len
, int dst_len
, int val
)
5366 dim
= isl_union_map_get_space(umap
);
5367 map
= isl_map_reverse(projection(dim
, dst_len
, src_len
));
5368 for (i
= src_len
; i
< dst_len
; ++i
)
5369 map
= isl_map_fix_si(map
, isl_dim_out
, i
, val
);
5371 umap
= isl_union_map_apply_range(umap
, isl_union_map_from_map(map
));
5376 /* Group bands with the same values for tile_len and n_parallel.
5377 * The prefix schedule is then extended with a fixed coordinate that
5378 * is different for each such group.
5379 * Note that the actual values for this coordinate are not important.
5380 * The bands have already been effectively separated at a higher level
5381 * or they are independent and may be executed in parallel.
5382 * The list of band_info has been sorted before this functions is called.
5384 static void separate_bands(struct band_info
*info
, int n
)
5389 for (i
= 0; i
< n
; ++i
) {
5390 int l
= info
[i
].tile_first
;
5393 (info
[i
].tile_len
!= info
[i
- 1].tile_len
||
5394 info
[i
].n_parallel
!= info
[i
- 1].n_parallel
))
5397 info
[i
].prefix
= extend_range(info
[i
].prefix
,
5399 info
[i
].tile_first
= l
+ 1;
5403 /* Select the outermost bands in the elements of the list, align
5404 * their prefix schedules, separate bands with different values
5405 * for tile_len and/or n_parallel and then combine the resulting
5406 * prefix and suffix schedules into a single pair of prefix and
5407 * suffix schedules for the entire list.
5409 static void list_select_outer_band(struct gpu_gen
*gen
,
5410 __isl_take isl_band_list
*list
, int pos
, struct band_info
*list_info
)
5414 int n
= isl_band_list_n_band(list
);
5415 isl_ctx
*ctx
= isl_band_list_get_ctx(list
);
5416 struct band_info
*info
;
5418 isl_union_map
*prefix
;
5419 isl_union_map
*suffix
;
5422 info
= isl_calloc_array(ctx
, struct band_info
, n
);
5426 for (i
= 0; i
< n
; ++i
) {
5427 band
= isl_band_list_get_band(list
, i
);
5428 band_select_outer_band(gen
, band
, pos
, &info
[i
]);
5429 if (info
[i
].tile_first
> max_tile_first
)
5430 max_tile_first
= info
[i
].tile_first
;
5433 for (i
= 0; i
< n
; ++i
) {
5434 if (info
[i
].tile_first
== max_tile_first
)
5436 info
[i
].prefix
= extend_range(info
[i
].prefix
,
5437 info
[i
].tile_first
, max_tile_first
, 0);
5438 info
[i
].tile_first
= max_tile_first
;
5441 qsort(info
, n
, sizeof(struct band_info
), &cmp_band
);
5443 for (i
= 0; i
< n
- 1; ++i
)
5444 if (info
[i
].tile_len
!= info
[i
+ 1].tile_len
||
5445 info
[i
].n_parallel
!= info
[i
+ 1].n_parallel
)
5449 separate_bands(info
, n
);
5451 prefix
= info
[0].prefix
;
5452 suffix
= info
[0].suffix
;
5454 for (i
= 1; i
< n
; ++i
) {
5455 prefix
= isl_union_map_union(prefix
, info
[i
].prefix
);
5456 suffix
= isl_union_map_union(suffix
, info
[i
].suffix
);
5459 list_info
->tile_first
= info
[0].tile_first
;
5460 list_info
->tile_len
= -1;
5461 list_info
->prefix
= prefix
;
5462 list_info
->suffix
= suffix
;
5464 isl_band_list_free(list
);
5468 /* Select the outermost tilable band that (by construction)
5469 * has at least one parallel loop.
5470 * The starting position of the aligned band is stored in the pair
5472 * The sizes and number of parallel loops may be different in different
5473 * parts of the band forest and are therefore stored in the gpu_stmts.
5475 * Return the complete schedule, with the tilable bands aligned
5476 * at gen->tile_first and padded with zero, if needed.
5478 static __isl_give isl_union_map
*select_outer_tilable_band(struct gpu_gen
*gen
,
5479 __isl_keep isl_schedule
*schedule
)
5481 isl_band_list
*list
;
5482 struct band_info info
;
5484 gen
->n_parallel
= 0;
5487 list
= isl_schedule_get_band_forest(schedule
);
5489 if (isl_band_list_n_band(list
) == 0) {
5490 isl_band_list_free(list
);
5491 return isl_schedule_get_map(schedule
);
5494 list_select_outer_band(gen
, list
, 0, &info
);
5496 gen
->tile_first
= info
.tile_first
;
5497 info
.suffix
= align_range(info
.suffix
);
5499 return isl_union_map_flat_range_product(info
.prefix
, info
.suffix
);
5502 /* Set gen->untiled_len to the number of scheduling dimensions
5503 * for the schedule of the first domain.
5504 * We assume here that this number is the same for all domains.
5506 static int set_untiled_len(__isl_take isl_map
*map
, void *user
)
5508 unsigned *untiled_len
= user
;
5510 *untiled_len
= isl_map_dim(map
, isl_dim_out
);
5516 /* Compute an appropriate schedule based on the accesses in
5517 * gen->read and gen->write.
5519 * We use the dependences in gen->prog->scop to compute
5520 * a schedule that has a parallel loop in each tilable band.
5521 * Finally, we select the outermost tilable band.
5523 * If live range reordering is allowed, then we need to make sure
5524 * that live ranges on arrays are not run in parallel since doing
5525 * so would require array expansion. We therefore add the array
5526 * order dependences to the coincidence dependences. Non-zero array
5527 * order dependences will then prevent a schedule dimension from being
5528 * considered parallel.
5529 * Live ranges derived from scalars are allowed to be run in parallel
5530 * since we force the scalars to be mapped to private memory in
5531 * check_scalar_live_ranges.
5532 * If live range reordering is allowed, then the false dependences
5533 * are not added to the validity constraints as that would prevent
5534 * reordering. Instead, the external false dependences that enforce that reads
5535 * from potentially live-in data precede any later write and
5536 * that writes of potentially live-out data follow any other earlier write
5537 * are added to the validity and the coincidence constraints.
5538 * The false dependences are still added to the proximity constraints
5539 * for consistency with the case where live range reordering is not allowed.
5540 * The coincidence constraints then consist of flow dependences,
5541 * exernal false dependences and array order dependences.
5542 * The independences can be filtered out from the first two sets.
5543 * They have already been filtered out from the array order dependences
5544 * on a per array basis in collect_order_dependences.
5545 * There is no need for a per array handling of the other two sets
5546 * as there should be no flow or external false dependence on local
5547 * variables that can be filtered out.
5549 static void compute_schedule(struct gpu_gen
*gen
)
5551 isl_union_set
*domain
;
5552 isl_union_map
*dep_raw
, *dep
;
5553 isl_union_map
*validity
, *proximity
, *coincidence
;
5554 isl_union_map
*sched
;
5555 isl_schedule_constraints
*sc
;
5556 isl_schedule
*schedule
;
5558 domain
= isl_union_set_copy(gen
->prog
->scop
->domain
);
5559 domain
= isl_union_set_intersect_params(domain
,
5560 isl_set_copy(gen
->prog
->scop
->context
));
5561 sc
= isl_schedule_constraints_on_domain(isl_union_set_copy(domain
));
5562 if (gen
->options
->live_range_reordering
) {
5563 sc
= isl_schedule_constraints_set_conditional_validity(sc
,
5564 isl_union_map_copy(gen
->prog
->scop
->tagged_dep_flow
),
5565 isl_union_map_copy(gen
->prog
->scop
->tagged_dep_order
));
5566 proximity
= isl_union_map_copy(gen
->prog
->scop
->dep_flow
);
5567 validity
= isl_union_map_copy(proximity
);
5568 validity
= isl_union_map_union(validity
,
5569 isl_union_map_copy(gen
->prog
->scop
->dep_external
));
5570 proximity
= isl_union_map_union(proximity
,
5571 isl_union_map_copy(gen
->prog
->scop
->dep_false
));
5572 coincidence
= isl_union_map_copy(validity
);
5573 coincidence
= isl_union_map_subtract(coincidence
,
5574 isl_union_map_copy(gen
->prog
->scop
->independence
));
5575 coincidence
= isl_union_map_union(coincidence
,
5576 isl_union_map_copy(gen
->prog
->array_order
));
5578 dep_raw
= isl_union_map_copy(gen
->prog
->scop
->dep_flow
);
5579 dep
= isl_union_map_copy(gen
->prog
->scop
->dep_false
);
5580 dep
= isl_union_map_union(dep
, dep_raw
);
5581 dep
= isl_union_map_coalesce(dep
);
5582 proximity
= isl_union_map_copy(dep
);
5583 coincidence
= isl_union_map_copy(dep
);
5586 sc
= isl_schedule_constraints_set_validity(sc
, validity
);
5587 sc
= isl_schedule_constraints_set_coincidence(sc
, coincidence
);
5588 sc
= isl_schedule_constraints_set_proximity(sc
, proximity
);
5590 if (gen
->options
->debug
->dump_schedule_constraints
)
5591 isl_schedule_constraints_dump(sc
);
5592 schedule
= isl_schedule_constraints_compute_schedule(sc
);
5593 if (gen
->options
->debug
->dump_schedule
)
5594 isl_schedule_dump(schedule
);
5596 sched
= select_outer_tilable_band(gen
, schedule
);
5598 isl_union_map_foreach_map(sched
, &set_untiled_len
, &gen
->untiled_len
);
5599 sched
= isl_union_map_intersect_domain(sched
, domain
);
5602 isl_schedule_free(schedule
);
5605 /* Compute the sets of outer array elements that need to be copied in and out.
5607 * In particular, for each array that is possibly written anywhere in
5608 * gen->prog and that is visible outside the corresponding scop,
5609 * we copy out its entire extent.
5611 * Any array elements that is read without first being written needs
5612 * to be copied in. Furthermore, if there are any array elements that
5613 * are copied out, but that may not be written inside gen->prog, then
5614 * they also need to be copied in to ensure that the value after execution
5615 * is the same as the value before execution.
5616 * In case the array elements are structures, we need to take into
5617 * account that all members of the structures need to be written
5618 * by gen->prog before we can avoid copying the data structure in.
5620 * While computing the set of array elements that are copied out but
5621 * not necessarily written, we intersect both sets with the context.
5622 * This helps in those cases where the arrays are declared with a fixed size,
5623 * while the accesses are parametric and the context assigns a fixed value
5624 * to the parameters.
5626 * If an element from a local array is read without first being written,
5627 * then there is no point in copying it in since it cannot have been
5628 * written prior to the scop. Warn about the uninitialized read instead.
5630 static void compute_copy_in_and_out(struct gpu_gen
*gen
)
5633 isl_union_set
*local
;
5634 isl_union_set
*may_write
, *must_write
;
5635 isl_union_set
*copy_in
, *copy_out
;
5636 isl_union_set
*not_written
;
5637 isl_union_map
*uninitialized
;
5638 isl_union_map
*local_uninitialized
;
5640 must_write
= isl_union_map_range(
5641 isl_union_map_copy(gen
->prog
->must_write
));
5642 must_write
= isl_union_set_intersect_params(must_write
,
5643 isl_set_copy(gen
->prog
->context
));
5644 may_write
= isl_union_map_range(
5645 isl_union_map_copy(gen
->prog
->may_write
));
5646 may_write
= isl_union_set_intersect_params(may_write
,
5647 isl_set_copy(gen
->prog
->context
));
5648 may_write
= isl_union_set_universe(may_write
);
5649 may_write
= isl_union_set_apply(may_write
,
5650 isl_union_map_copy(gen
->prog
->to_outer
));
5651 copy_out
= isl_union_set_empty(isl_union_set_get_space(may_write
));
5652 local
= isl_union_set_copy(copy_out
);
5654 for (i
= 0; i
< gen
->prog
->n_array
; ++i
) {
5659 space
= isl_space_copy(gen
->prog
->array
[i
].space
);
5661 if (gen
->prog
->array
[i
].local
) {
5664 set
= isl_set_universe(space
);
5665 local
= isl_union_set_add_set(local
, set
);
5669 write_i
= isl_union_set_extract_set(may_write
, space
);
5670 empty
= isl_set_plain_is_empty(write_i
);
5671 isl_set_free(write_i
);
5675 write_i
= isl_set_copy(gen
->prog
->array
[i
].extent
);
5676 copy_out
= isl_union_set_add_set(copy_out
, write_i
);
5678 isl_union_set_free(may_write
);
5680 copy_out
= isl_union_set_intersect_params(copy_out
,
5681 isl_set_copy(gen
->prog
->context
));
5683 gen
->prog
->copy_out
= isl_union_set_copy(copy_out
);
5685 copy_out
= isl_union_set_apply(copy_out
,
5686 isl_union_map_copy(gen
->prog
->to_inner
));
5687 not_written
= isl_union_set_subtract(copy_out
, must_write
);
5689 uninitialized
= isl_union_map_copy(gen
->prog
->scop
->live_in
);
5690 local_uninitialized
= isl_union_map_copy(uninitialized
);
5692 local
= isl_union_set_apply(local
,
5693 isl_union_map_copy(gen
->prog
->to_inner
));
5694 local_uninitialized
= isl_union_map_intersect_range(local_uninitialized
,
5696 if (!isl_union_map_is_empty(local_uninitialized
)) {
5698 "possibly uninitialized reads (not copied in):\n");
5699 isl_union_map_dump(local_uninitialized
);
5701 uninitialized
= isl_union_map_subtract(uninitialized
,
5702 local_uninitialized
);
5703 copy_in
= isl_union_map_range(uninitialized
);
5704 copy_in
= isl_union_set_union(copy_in
, not_written
);
5705 copy_in
= isl_union_set_apply(copy_in
,
5706 isl_union_map_copy(gen
->prog
->to_outer
));
5708 gen
->prog
->copy_in
= copy_in
;
5711 /* Internal data structure for extract_access.
5712 * "next_access" points to the end of a linked list that is extended
5713 * by extract_access.
5714 * "single_expression" is set if the access expressions belong to
5715 * an expression statement (i.e., a statement without internal control).
5716 * "any_to_outer" maps all intermediate arrays to their outer arrays.
5718 struct ppcg_extract_access_data
{
5719 struct gpu_stmt_access
**next_access
;
5720 int single_expression
;
5721 isl_union_map
*any_to_outer
;
5724 /* Extract a gpu_stmt_access from "expr", append it to the list
5725 * that ends in *data->next_access and update the end of the list.
5726 * If the access expression performs a write, then it is considered
5727 * exact only if it appears in a single expression statement and
5728 * if its may access relation is equal to its must access relation.
5730 * The combined set of may accesses may be union if member accesses
5731 * are involved, but the entire set is derived from a single reference and
5732 * therefore from a single index expression. These accesses therefore
5733 * all map to the same outer array.
5735 static int extract_access(__isl_keep pet_expr
*expr
, void *user
)
5737 struct ppcg_extract_access_data
*data
= user
;
5738 isl_union_map
*may
, *tagged
;
5739 struct gpu_stmt_access
*access
;
5741 isl_multi_pw_aff
*index
;
5743 may
= pet_expr_access_get_may_read(expr
);
5744 may
= isl_union_map_union(may
, pet_expr_access_get_may_write(expr
));
5745 may
= isl_union_map_apply_range(may
,
5746 isl_union_map_copy(data
->any_to_outer
));
5747 ctx
= isl_union_map_get_ctx(may
);
5748 access
= isl_alloc_type(ctx
, struct gpu_stmt_access
);
5750 access
->next
= NULL
;
5751 access
->read
= pet_expr_access_is_read(expr
);
5752 access
->write
= pet_expr_access_is_write(expr
);
5753 tagged
= pet_expr_access_get_tagged_may_read(expr
);
5754 tagged
= isl_union_map_union(tagged
,
5755 pet_expr_access_get_tagged_may_write(expr
));
5756 tagged
= isl_union_map_apply_range(tagged
,
5757 isl_union_map_copy(data
->any_to_outer
));
5758 access
->tagged_access
= isl_map_from_union_map(tagged
);
5759 if (!access
->write
) {
5760 access
->exact_write
= 1;
5761 } else if (!data
->single_expression
) {
5762 access
->exact_write
= 0;
5764 isl_union_map
*must
;
5765 must
= pet_expr_access_get_must_write(expr
);
5766 access
->exact_write
= isl_union_map_is_equal(must
, may
);
5767 isl_union_map_free(must
);
5769 access
->access
= isl_map_from_union_map(may
);
5770 index
= pet_expr_access_get_index(expr
);
5771 access
->n_index
= isl_multi_pw_aff_dim(index
, isl_dim_out
);
5772 isl_multi_pw_aff_free(index
);
5773 access
->ref_id
= pet_expr_access_get_ref_id(expr
);
5776 *data
->next_access
= access
;
5777 data
->next_access
= &(*data
->next_access
)->next
;
5782 /* Construct a linked list of gpu_stmt_access objects,
5783 * one for each access expression in the statement body.
5784 * "any_to_outer" maps all intermediate arrays to their outer arrays.
5786 static void pet_stmt_extract_accesses(struct gpu_stmt
*stmt
,
5787 __isl_keep isl_union_map
*any_to_outer
)
5789 struct ppcg_extract_access_data data
;
5791 stmt
->accesses
= NULL
;
5792 data
.next_access
= &stmt
->accesses
;
5793 data
.single_expression
=
5794 pet_tree_get_type(stmt
->stmt
->body
) == pet_tree_expr
;
5795 data
.any_to_outer
= any_to_outer
;
5796 pet_tree_foreach_access_expr(stmt
->stmt
->body
, &extract_access
, &data
);
5799 /* Return an array of gpu_stmt representing the statements in "scop".
5801 static struct gpu_stmt
*extract_stmts(isl_ctx
*ctx
, struct ppcg_scop
*scop
,
5802 __isl_keep isl_set
*context
, __isl_keep isl_union_map
*any_to_outer
)
5805 struct gpu_stmt
*stmts
;
5807 stmts
= isl_calloc_array(ctx
, struct gpu_stmt
, scop
->pet
->n_stmt
);
5811 for (i
= 0; i
< scop
->pet
->n_stmt
; ++i
) {
5812 struct gpu_stmt
*s
= &stmts
[i
];
5814 s
->id
= isl_set_get_tuple_id(scop
->pet
->stmts
[i
]->domain
);
5815 s
->stmt
= scop
->pet
->stmts
[i
];
5816 pet_stmt_extract_accesses(s
, any_to_outer
);
5822 /* Callback for ppcg_print_guarded that calls the callback for generate_gpu.
5824 static __isl_give isl_printer
*print_gpu(__isl_take isl_printer
*p
, void *user
)
5826 struct gpu_gen
*gen
= user
;
5828 return gen
->print(p
, gen
->prog
, gen
->tree
, &gen
->types
,
5832 /* Generate CUDA code for "scop" and print it to "p".
5833 * After generating an AST for the transformed scop as explained below,
5834 * we call "gen->print" to print the AST in the desired output format
5837 * If it turns out that it does not make sense to generate GPU code,
5838 * then we generate CPU code instead.
5840 * The GPU code is generated in a context where at least one
5841 * statement instance is executed. The corresponding guard (if any) is printed
5842 * around the entire generated GPU code, except for the declaration
5843 * of the arrays that are visible outside of the scop and that therefore
5844 * cannot be declared inside the body of any possible guard.
5846 * We first compute a schedule that respects the dependences
5847 * of the original program and select the outermost band
5848 * of tilable dimensions that has at least one parallel loop.
5849 * We then have three blocks of dimensions
5853 * The tilable band "B" is first tiled according to "tile" sizes, resulting
5858 * For each iteration of the T loop and for each array, we compute
5859 * the array elements accessed by that iteration, construct a rectangular
5860 * box around it and shift it to the origin. The result is used
5861 * as shared memory for the array.
5863 * We then split off at most 2 parallel loops from the T loops and
5864 * at most 3 parallel loops from the P loops
5868 * The T1/P1 loops are then tiled or "wrapped" over the blocks/threads,
5869 * according to "grid"/"block" sizes.
5871 * H T1T T1P T2 P1T P1P P2 G
5873 * Finally, the T1P and P1P iterators are equated to the block and
5874 * thread dimensions respectively and so are effectively removed.
5875 * The H loops are run on the host. The T1T, T2, P1T, P2 and G loops
5876 * are run on the GPU.
5878 * Code is generated in three stages. We first generate code for the
5879 * host (the H loops), with iterators h%d. Then, for each leaf node
5880 * of the resulting AST, we generate code for the shared loops (up to
5881 * and including T2), with iterators g%d and after equating the H loops
5882 * to h%d parameters and the T1P loops to the block dimensions.
5883 * Finally, we generate code for the remaining loops in a similar fashion.
5885 static __isl_give isl_printer
*generate(__isl_take isl_printer
*p
,
5886 struct gpu_gen
*gen
, struct ppcg_scop
*scop
,
5887 struct ppcg_options
*options
)
5889 struct gpu_prog
*prog
;
5891 isl_set
*context
, *guard
;
5894 return isl_printer_free(p
);
5896 ctx
= isl_printer_get_ctx(p
);
5897 prog
= gpu_prog_alloc(ctx
, scop
);
5899 return isl_printer_free(p
);
5901 context
= isl_set_copy(prog
->context
);
5902 guard
= isl_union_set_params(isl_union_set_copy(prog
->scop
->domain
));
5903 prog
->context
= isl_set_intersect(prog
->context
, isl_set_copy(guard
));
5906 gen
->any_parallelism
= 0;
5907 compute_schedule(gen
);
5909 if (!gen
->any_parallelism
) {
5910 isl_set_free(context
);
5911 isl_set_free(guard
);
5912 p
= print_cpu(p
, scop
, options
);
5914 compute_copy_in_and_out(gen
);
5915 gen
->tree
= generate_host_code(gen
);
5916 p
= ppcg_print_exposed_declarations(p
, prog
->scop
);
5917 p
= ppcg_print_guarded(p
, guard
, context
, &print_gpu
, gen
);
5918 isl_ast_node_free(gen
->tree
);
5921 isl_union_map_free(gen
->sched
);
5923 gpu_prog_free(prog
);
5928 /* Wrapper around generate for use as a ppcg_transform callback.
5930 static __isl_give isl_printer
*generate_wrap(__isl_take isl_printer
*p
,
5931 struct ppcg_scop
*scop
, void *user
)
5933 struct gpu_gen
*gen
= user
;
5935 return generate(p
, gen
, scop
, gen
->options
);
5938 /* Transform the code in the file called "input" by replacing
5939 * all scops by corresponding GPU code and write the results to "out".
5941 int generate_gpu(isl_ctx
*ctx
, const char *input
, FILE *out
,
5942 struct ppcg_options
*options
,
5943 __isl_give isl_printer
*(*print
)(__isl_take isl_printer
*p
,
5944 struct gpu_prog
*prog
, __isl_keep isl_ast_node
*tree
,
5945 struct gpu_types
*types
, void *user
), void *user
)
5952 gen
.sizes
= extract_sizes_from_str(ctx
, options
->sizes
);
5953 gen
.options
= options
;
5956 gen
.print_user
= user
;
5958 gen
.types
.name
= NULL
;
5960 if (options
->debug
->dump_sizes
) {
5961 isl_space
*space
= isl_space_params_alloc(ctx
, 0);
5962 gen
.used_sizes
= isl_union_map_empty(space
);
5965 r
= ppcg_transform(ctx
, input
, out
, options
, &generate_wrap
, &gen
);
5967 if (options
->debug
->dump_sizes
) {
5968 isl_union_map_dump(gen
.used_sizes
);
5969 isl_union_map_free(gen
.used_sizes
);
5972 isl_union_map_free(gen
.sizes
);
5973 for (i
= 0; i
< gen
.types
.n
; ++i
)
5974 free(gen
.types
.name
[i
]);
5975 free(gen
.types
.name
);
5980 struct gpu_prog
*gpu_prog_alloc(isl_ctx
*ctx
, struct ppcg_scop
*scop
)
5982 struct gpu_prog
*prog
;
5989 prog
= isl_calloc_type(ctx
, struct gpu_prog
);
5994 prog
->context
= isl_set_copy(scop
->context
);
5995 prog
->n_stmts
= scop
->pet
->n_stmt
;
5996 prog
->any_to_outer
= pet_scop_compute_outer_to_any(scop
->pet
);
5997 prog
->any_to_outer
= isl_union_map_reverse(prog
->any_to_outer
);
5998 space
= isl_union_map_get_space(prog
->any_to_outer
);
5999 space
= isl_space_set_from_params(space
);
6000 space
= isl_space_add_dims(space
, isl_dim_set
, 1);
6001 space
= isl_space_map_from_set(space
);
6002 id
= isl_map_identity(space
);
6003 prog
->any_to_outer
= isl_union_map_add_map(prog
->any_to_outer
, id
);
6004 prog
->stmts
= extract_stmts(ctx
, scop
,
6005 prog
->context
, prog
->any_to_outer
);
6006 prog
->read
= isl_union_map_copy(scop
->reads
);
6007 prog
->may_write
= isl_union_map_copy(scop
->may_writes
);
6008 prog
->must_write
= isl_union_map_copy(scop
->must_writes
);
6009 prog
->to_inner
= pet_scop_compute_outer_to_inner(scop
->pet
);
6010 prog
->to_outer
= isl_union_map_copy(prog
->to_inner
);
6011 prog
->to_outer
= isl_union_map_reverse(prog
->to_outer
);
6014 return gpu_prog_free(prog
);
6016 if (collect_array_info(prog
) < 0)
6017 return gpu_prog_free(prog
);
6022 void *gpu_prog_free(struct gpu_prog
*prog
)
6026 free_array_info(prog
);
6027 free_stmts(prog
->stmts
, prog
->n_stmts
);
6028 isl_union_map_free(prog
->any_to_outer
);
6029 isl_union_map_free(prog
->to_outer
);
6030 isl_union_map_free(prog
->to_inner
);
6031 isl_union_set_free(prog
->copy_in
);
6032 isl_union_set_free(prog
->copy_out
);
6033 isl_union_map_free(prog
->read
);
6034 isl_union_map_free(prog
->may_write
);
6035 isl_union_map_free(prog
->must_write
);
6036 isl_union_map_free(prog
->array_order
);
6037 isl_set_free(prog
->context
);