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grouping.c 23.49 KB
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/*
* Copyright 2016 Sven Verdoolaege
*
* Use of this software is governed by the MIT license
*
* Written by Sven Verdoolaege.
*/
#include <isl/ctx.h>
#include <isl/id.h>
#include <isl/val.h>
#include <isl/space.h>
#include <isl/aff.h>
#include <isl/set.h>
#include <isl/map.h>
#include <isl/union_set.h>
#include <isl/union_map.h>
#include <isl/schedule.h>
#include <isl/schedule_node.h>
#include "grouping.h"
#include "schedule.h"
/* Internal data structure for use during the detection of statements
* that can be grouped.
*
* "sc" contains the original schedule constraints (not a copy).
* The validity constraints of "sc" are adjusted based on the groups
* found so far.
* "dep" contains the intersection of the validity and the proximity
* constraints in "sc". It may be NULL if it has not been computed yet.
* "group_id" is the identifier for the next group that is extracted.
*
* "domain" is the set of statement instances that belong to any of the groups.
* "contraction" maps the elements of "domain" to the corresponding group
* instances.
* "schedule" schedules the statements in each group relatively to each other.
* These last three fields are NULL if no groups have been found so far.
*/
struct ppcg_grouping {
isl_schedule_constraints *sc;
isl_union_map *dep;
int group_id;
isl_union_set *domain;
isl_union_pw_multi_aff *contraction;
isl_schedule *schedule;
};
/* Clear all memory allocated by "grouping".
*/
static void ppcg_grouping_clear(struct ppcg_grouping *grouping)
{
isl_union_map_free(grouping->dep);
isl_union_set_free(grouping->domain);
isl_union_pw_multi_aff_free(grouping->contraction);
isl_schedule_free(grouping->schedule);
}
/* Compute the intersection of the proximity and validity dependences
* in grouping->sc and store the result in grouping->dep, unless
* this intersection has been computed before.
*/
static isl_stat ppcg_grouping_compute_dep(struct ppcg_grouping *grouping)
{
isl_union_map *validity, *proximity;
if (grouping->dep)
return isl_stat_ok;
validity = isl_schedule_constraints_get_validity(grouping->sc);
proximity = isl_schedule_constraints_get_proximity(grouping->sc);
grouping->dep = isl_union_map_intersect(validity, proximity);
if (!grouping->dep)
return isl_stat_error;
return isl_stat_ok;
}
/* Information extracted from one or more consecutive leaves
* in the input schedule.
*
* "list" contains the sets of statement instances in the leaves,
* one element in the list for each original leaf.
* "domain" contains the union of the sets in "list".
* "prefix" contains the prefix schedule of these elements.
*/
struct ppcg_grouping_leaf {
isl_union_set *domain;
isl_union_set_list *list;
isl_multi_union_pw_aff *prefix;
};
/* Free all memory allocated for "leaves".
*/
static void ppcg_grouping_leaf_free(int n, struct ppcg_grouping_leaf leaves[n])
{
int i;
if (!leaves)
return;
for (i = 0; i < n; ++i) {
isl_union_set_free(leaves[i].domain);
isl_union_set_list_free(leaves[i].list);
isl_multi_union_pw_aff_free(leaves[i].prefix);
}
free(leaves);
}
/* Short-hand for retrieving the prefix schedule at "node"
* in the form of an isl_multi_union_pw_aff.
*/
static __isl_give isl_multi_union_pw_aff *get_prefix(
__isl_keep isl_schedule_node *node)
{
return isl_schedule_node_get_prefix_schedule_multi_union_pw_aff(node);
}
/* Return an array of "n" elements with information extracted from
* the "n" children of "node" starting at "first", all of which
* are known to be filtered leaves.
*/
struct ppcg_grouping_leaf *extract_leaves(__isl_keep isl_schedule_node *node,
int first, int n)
{
int i;
isl_ctx *ctx;
struct ppcg_grouping_leaf *leaves;
if (!node)
return NULL;
ctx = isl_schedule_node_get_ctx(node);
leaves = isl_calloc_array(ctx, struct ppcg_grouping_leaf, n);
if (!leaves)
return NULL;
for (i = 0; i < n; ++i) {
isl_schedule_node *child;
isl_union_set *domain;
child = isl_schedule_node_get_child(node, first + i);
child = isl_schedule_node_child(child, 0);
domain = isl_schedule_node_get_domain(child);
leaves[i].domain = isl_union_set_copy(domain);
leaves[i].list = isl_union_set_list_from_union_set(domain);
leaves[i].prefix = get_prefix(child);
isl_schedule_node_free(child);
}
return leaves;
}
/* Internal data structure used by merge_leaves.
*
* "src" and "dst" point to the two consecutive leaves that are
* under investigation for being merged.
* "merge" is initially set to 0 and is set to 1 as soon as
* it turns out that it is useful to merge the two leaves.
*/
struct ppcg_merge_leaves_data {
int merge;
struct ppcg_grouping_leaf *src;
struct ppcg_grouping_leaf *dst;
};
/* Given a relation "map" between instances of two statements A and B,
* does it relate every instance of A (according to the domain of "src")
* to every instance of B (according to the domain of "dst")?
*/
static isl_bool covers_src_and_dst(__isl_keep isl_map *map,
struct ppcg_grouping_leaf *src, struct ppcg_grouping_leaf *dst)
{
isl_space *space;
isl_set *set1, *set2;
isl_bool is_subset;
space = isl_space_domain(isl_map_get_space(map));
set1 = isl_union_set_extract_set(src->domain, space);
set2 = isl_map_domain(isl_map_copy(map));
is_subset = isl_set_is_subset(set1, set2);
isl_set_free(set1);
isl_set_free(set2);
if (is_subset < 0 || !is_subset)
return is_subset;
space = isl_space_range(isl_map_get_space(map));
set1 = isl_union_set_extract_set(dst->domain, space);
set2 = isl_map_range(isl_map_copy(map));
is_subset = isl_set_is_subset(set1, set2);
isl_set_free(set1);
isl_set_free(set2);
return is_subset;
}
/* Given a relation "map" between instances of two statements A and B,
* are pairs of related instances executed together in the input schedule?
* That is, is each pair of instances assigned the same value
* by the corresponding prefix schedules?
*
* In particular, select the subset of "map" that has pairs of elements
* with the same value for the prefix schedules and then check
* if "map" is still a subset of the result.
*/
static isl_bool matches_prefix(__isl_keep isl_map *map,
struct ppcg_grouping_leaf *src, struct ppcg_grouping_leaf *dst)
{
isl_union_map *umap, *equal;
isl_multi_union_pw_aff *src_prefix, *dst_prefix, *prefix;
isl_bool is_subset;
src_prefix = isl_multi_union_pw_aff_copy(src->prefix);
dst_prefix = isl_multi_union_pw_aff_copy(dst->prefix);
prefix = isl_multi_union_pw_aff_union_add(src_prefix, dst_prefix);
umap = isl_union_map_from_map(isl_map_copy(map));
equal = isl_union_map_copy(umap);
equal = isl_union_map_eq_at_multi_union_pw_aff(equal, prefix);
is_subset = isl_union_map_is_subset(umap, equal);
isl_union_map_free(umap);
isl_union_map_free(equal);
return is_subset;
}
/* Given a set of validity and proximity schedule constraints "map"
* between statements in consecutive leaves in a valid schedule,
* should the two leaves be merged into one?
*
* In particular, the two are merged if the constraints form
* a bijection between every instance of the first statement and
* every instance of the second statement. Moreover, each
* pair of such dependent instances needs to be executed consecutively
* in the input schedule. That is, they need to be assigned
* the same value by their prefix schedules.
*
* What this means is that for each instance of the first statement
* there is exactly one instance of the second statement that
* is executed immediately after the instance of the first statement and
* that, moreover, both depends on this statement instance and
* should be brought as close as possible to this statement instance.
* In other words, it is both possible to execute the two instances
* together (according to the input schedule) and desirable to do so
* (according to the validity and proximity schedule constraints).
*/
static isl_stat check_merge(__isl_take isl_map *map, void *user)
{
struct ppcg_merge_leaves_data *data = user;
isl_bool ok;
ok = covers_src_and_dst(map, data->src, data->dst);
if (ok >= 0 && ok)
ok = isl_map_is_bijective(map);
if (ok >= 0 && ok)
ok = matches_prefix(map, data->src, data->dst);
isl_map_free(map);
if (ok < 0)
return isl_stat_error;
if (!ok)
return isl_stat_ok;
data->merge = 1;
return isl_stat_error;
}
/* Merge the leaves at position "pos" and "pos + 1" in "leaves".
*/
static isl_stat merge_pair(int n, struct ppcg_grouping_leaf leaves[n], int pos)
{
int i;
leaves[pos].domain = isl_union_set_union(leaves[pos].domain,
leaves[pos + 1].domain);
leaves[pos].list = isl_union_set_list_concat(leaves[pos].list,
leaves[pos + 1].list);
leaves[pos].prefix = isl_multi_union_pw_aff_union_add(
leaves[pos].prefix, leaves[pos + 1].prefix);
for (i = pos + 1; i + 1 < n; ++i)
leaves[i] = leaves[i + 1];
leaves[n - 1].domain = NULL;
leaves[n - 1].list = NULL;
leaves[n - 1].prefix = NULL;
if (!leaves[pos].domain || !leaves[pos].list || !leaves[pos].prefix)
return isl_stat_error;
return isl_stat_ok;
}
/* Merge pairs of consecutive leaves in "leaves" taking into account
* the intersection of validity and proximity schedule constraints "dep".
*
* If a leaf has been merged with the next leaf, then the combination
* is checked again for merging with the next leaf.
* That is, if the leaves are A, B and C, then B may not have been
* merged with C, but after merging A and B, it could still be useful
* to merge the combination AB with C.
*
* Two leaves A and B are merged if there are instances of at least
* one pair of statements, one statement in A and one B, such that
* the validity and proximity schedule constraints between them
* make them suitable for merging according to check_merge.
*
* Return the final number of leaves in the sequence, or -1 on error.
*/
static int merge_leaves(int n, struct ppcg_grouping_leaf leaves[n],
__isl_keep isl_union_map *dep)
{
int i;
struct ppcg_merge_leaves_data data;
for (i = n - 1; i >= 0; --i) {
isl_union_map *dep_i;
isl_stat ok;
if (i + 1 >= n)
continue;
dep_i = isl_union_map_copy(dep);
dep_i = isl_union_map_intersect_domain(dep_i,
isl_union_set_copy(leaves[i].domain));
dep_i = isl_union_map_intersect_range(dep_i,
isl_union_set_copy(leaves[i + 1].domain));
data.merge = 0;
data.src = &leaves[i];
data.dst = &leaves[i + 1];
ok = isl_union_map_foreach_map(dep_i, &check_merge, &data);
isl_union_map_free(dep_i);
if (ok < 0 && !data.merge)
return -1;
if (!data.merge)
continue;
if (merge_pair(n, leaves, i) < 0)
return -1;
--n;
++i;
}
return n;
}
/* Construct a schedule with "domain" as domain, that executes
* the elements of "list" in order (as a sequence).
*/
static __isl_give isl_schedule *schedule_from_domain_and_list(
__isl_keep isl_union_set *domain, __isl_keep isl_union_set_list *list)
{
isl_schedule *schedule;
isl_schedule_node *node;
schedule = isl_schedule_from_domain(isl_union_set_copy(domain));
node = isl_schedule_get_root(schedule);
isl_schedule_free(schedule);
node = isl_schedule_node_child(node, 0);
list = isl_union_set_list_copy(list);
node = isl_schedule_node_insert_sequence(node, list);
schedule = isl_schedule_node_get_schedule(node);
isl_schedule_node_free(node);
return schedule;
}
/* Construct a unique identifier for a group in "grouping".
*
* The name is of the form G_n, with n the first value starting at
* grouping->group_id that does not result in an identifier
* that is already in use in the domain of the original schedule
* constraints.
*/
static isl_id *construct_group_id(struct ppcg_grouping *grouping,
__isl_take isl_space *space)
{
isl_ctx *ctx;
isl_id *id;
isl_bool empty;
isl_union_set *domain;
if (!space)
return NULL;
ctx = isl_space_get_ctx(space);
domain = isl_schedule_constraints_get_domain(grouping->sc);
do {
char buffer[20];
isl_id *id;
isl_set *set;
snprintf(buffer, sizeof(buffer), "G_%d", grouping->group_id);
grouping->group_id++;
id = isl_id_alloc(ctx, buffer, NULL);
space = isl_space_set_tuple_id(space, isl_dim_set, id);
set = isl_union_set_extract_set(domain, isl_space_copy(space));
empty = isl_set_plain_is_empty(set);
isl_set_free(set);
} while (empty >= 0 && !empty);
if (empty < 0)
space = isl_space_free(space);
id = isl_space_get_tuple_id(space, isl_dim_set);
isl_space_free(space);
isl_union_set_free(domain);
return id;
}
/* Construct a contraction from "prefix" and "domain" for a new group
* in "grouping".
*
* The values of the prefix schedule "prefix" are used as instances
* of the new group. The identifier of the group is constructed
* in such a way that it does not conflict with those of earlier
* groups nor with statements in the domain of the original
* schedule constraints.
* The isl_multi_union_pw_aff "prefix" then simply needs to be
* converted to an isl_union_pw_multi_aff. However, this is not
* possible if "prefix" is zero-dimensional, so in this case,
* a contraction is constructed from "domain" instead.
*/
static isl_union_pw_multi_aff *group_contraction_from_prefix_and_domain(
struct ppcg_grouping *grouping,
__isl_keep isl_multi_union_pw_aff *prefix,
__isl_keep isl_union_set *domain)
{
isl_id *id;
isl_space *space;
int dim;
space = isl_multi_union_pw_aff_get_space(prefix);
if (!space)
return NULL;
dim = isl_space_dim(space, isl_dim_set);
id = construct_group_id(grouping, space);
if (dim == 0) {
isl_multi_val *mv;
space = isl_multi_union_pw_aff_get_space(prefix);
space = isl_space_set_tuple_id(space, isl_dim_set, id);
mv = isl_multi_val_zero(space);
domain = isl_union_set_copy(domain);
return isl_union_pw_multi_aff_multi_val_on_domain(domain, mv);
}
prefix = isl_multi_union_pw_aff_copy(prefix);
prefix = isl_multi_union_pw_aff_set_tuple_id(prefix, isl_dim_out, id);
return isl_union_pw_multi_aff_from_multi_union_pw_aff(prefix);
}
/* Remove the validity schedule constraints from "sc" between
* statement instances that get contracted to the same group instance
* by the contraction described by "prefix" and "domain".
*
* The values of the prefix schedule "prefix" are used as instances
* of the new group. This means that validity schedule constraints
* between instances with the same prefix schedule value need to be removed.
* If "prefix" is zero-dimensional, then it does not contain any
* information about the domain. Instead, those schedule constraints
* are removed that connect pairs of instances in "domain".
*/
static __isl_give isl_schedule_constraints *remove_group_validity(
__isl_take isl_schedule_constraints *sc,
__isl_keep isl_multi_union_pw_aff *prefix,
__isl_keep isl_union_set *domain)
{
int n;
isl_union_map *validity, *joined;
validity = isl_schedule_constraints_get_validity(sc);
joined = isl_union_map_copy(validity);
n = isl_multi_union_pw_aff_dim(prefix, isl_dim_out);
if (n == 0) {
joined = isl_union_map_intersect_domain(joined,
isl_union_set_copy(domain));
joined = isl_union_map_intersect_range(joined,
isl_union_set_copy(domain));
} else {
joined = isl_union_map_eq_at_multi_union_pw_aff(joined,
isl_multi_union_pw_aff_copy(prefix));
}
validity = isl_union_map_subtract(validity, joined);
sc = isl_schedule_constraints_set_validity(sc, validity);
return sc;
}
/* Extend "grouping" with groups corresponding to merged
* leaves in the list of potentially merged leaves "leaves".
*
* The "list" field of each element in "leaves" contains a list
* of the instances sets of the original leaves that have been
* merged into this element. If at least two of the original leaves
* have been merged into a given element, then add the corresponding
* group to "grouping" and remove validity schedule constraints
* between statement instances that get mapped to the same group instance.
* In particular, the domain is extended with the statement instances
* of the merged leaves, the contraction is extended with a mapping
* of these statement instances to instances of a new group and
* the schedule is extended with a schedule that executes
* the statement instances according to the order of the leaves
* in which they appear.
* Since the instances of the groups should already be scheduled apart
* in the schedule into which this schedule will be plugged in,
* the schedules of the individual groups are combined independently
* of each other (as a set).
*/
static isl_stat add_groups(struct ppcg_grouping *grouping,
int n, struct ppcg_grouping_leaf leaves[n])
{
int i;
for (i = 0; i < n; ++i) {
int n_leaf;
isl_schedule *schedule;
isl_union_set *domain;
isl_union_pw_multi_aff *upma;
n_leaf = isl_union_set_list_n_union_set(leaves[i].list);
if (n_leaf < 0)
return isl_stat_error;
if (n_leaf <= 1)
continue;
schedule = schedule_from_domain_and_list(leaves[i].domain,
leaves[i].list);
upma = group_contraction_from_prefix_and_domain(grouping,
leaves[i].prefix, leaves[i].domain);
grouping->sc = remove_group_validity(grouping->sc,
leaves[i].prefix, leaves[i].domain);
domain = isl_union_set_copy(leaves[i].domain);
if (grouping->domain) {
domain = isl_union_set_union(domain, grouping->domain);
upma = isl_union_pw_multi_aff_union_add(upma,
grouping->contraction);
schedule = isl_schedule_set(schedule,
grouping->schedule);
}
grouping->domain = domain;
grouping->contraction = upma;
grouping->schedule = schedule;
if (!grouping->domain || !grouping->contraction ||
!grouping->schedule)
return isl_stat_error;
}
return isl_stat_ok;
}
/* Look for any pairs of consecutive leaves among the "n" children of "node"
* starting at "first" that should be merged together.
* Store the results in "grouping".
*
* First make sure the intersection of validity and proximity
* schedule constraints is available and extract the required
* information from the "n" leaves.
* Then try and merge consecutive leaves based on the validity
* and proximity constraints.
* If any pairs were successfully merged, then add groups
* corresponding to the merged leaves to "grouping".
*/
static isl_stat group_subsequence(__isl_keep isl_schedule_node *node,
int first, int n, struct ppcg_grouping *grouping)
{
int n_merge;
struct ppcg_grouping_leaf *leaves;
if (ppcg_grouping_compute_dep(grouping) < 0)
return isl_stat_error;
leaves = extract_leaves(node, first, n);
if (!leaves)
return isl_stat_error;
n_merge = merge_leaves(n, leaves, grouping->dep);
if (n_merge >= 0 && n_merge < n &&
add_groups(grouping, n_merge, leaves) < 0)
return isl_stat_error;
ppcg_grouping_leaf_free(n, leaves);
return isl_stat_ok;
}
/* If "node" is a sequence, then check if it has any consecutive
* leaves that should be merged together and store the results
* in "grouping".
*
* In particular, call group_subsequence on each consecutive
* sequence of (filtered) leaves among the children of "node".
*/
static isl_bool detect_groups(__isl_keep isl_schedule_node *node, void *user)
{
int i, n, first;
struct ppcg_grouping *grouping = user;
if (isl_schedule_node_get_type(node) != isl_schedule_node_sequence)
return isl_bool_true;
n = isl_schedule_node_n_children(node);
if (n < 0)
return isl_bool_error;
first = -1;
for (i = 0; i < n; ++i) {
isl_schedule_node *child;
enum isl_schedule_node_type type;
child = isl_schedule_node_get_child(node, i);
child = isl_schedule_node_child(child, 0);
type = isl_schedule_node_get_type(child);
isl_schedule_node_free(child);
if (first >= 0 && type != isl_schedule_node_leaf) {
if (group_subsequence(node, first, i - first,
grouping) < 0)
return isl_bool_error;
first = -1;
}
if (first < 0 && type == isl_schedule_node_leaf)
first = i;
}
if (first >= 0) {
if (group_subsequence(node, first, n - first, grouping) < 0)
return isl_bool_error;
}
return isl_bool_true;
}
/* Complete "grouping" to cover all statement instances in the domain
* of grouping->sc.
*
* In particular, grouping->domain is set to the full set of statement
* instances; group->contraction is extended with an identity
* contraction on the additional instances and group->schedule
* is extended with an independent schedule on those additional instances.
* In the extension of group->contraction, the additional instances
* are split into those belong to different statements and those
* that belong to some of the same statements. The first group
* is replaced by its universe in order to simplify the contraction extension.
*/
static void complete_grouping(struct ppcg_grouping *grouping)
{
isl_union_set *domain, *left, *overlap;
isl_union_pw_multi_aff *upma;
isl_schedule *schedule;
domain = isl_schedule_constraints_get_domain(grouping->sc);
left = isl_union_set_subtract(isl_union_set_copy(domain),
isl_union_set_copy(grouping->domain));
schedule = isl_schedule_from_domain(isl_union_set_copy(left));
schedule = isl_schedule_set(schedule, grouping->schedule);
grouping->schedule = schedule;
overlap = isl_union_set_universe(grouping->domain);
grouping->domain = domain;
overlap = isl_union_set_intersect(isl_union_set_copy(left), overlap);
left = isl_union_set_subtract(left, isl_union_set_copy(overlap));
left = isl_union_set_universe(left);
left = isl_union_set_union(left, overlap);
upma = isl_union_set_identity_union_pw_multi_aff(left);
upma = isl_union_pw_multi_aff_union_add(upma, grouping->contraction);
grouping->contraction = upma;
}
/* Report that the given grouping is used during scheduling
* (if the verbose options is set).
*/
static void report_grouping(__isl_keep isl_union_pw_multi_aff *contraction,
struct ppcg_options *options)
{
isl_ctx *ctx;
isl_printer *p;
if (!options->debug->verbose)
return;
ctx = isl_union_pw_multi_aff_get_ctx(contraction);
p = isl_printer_to_file(ctx, stdout);
p = isl_printer_print_str(p, "Scheduling performed with grouping ");
p = isl_printer_print_union_pw_multi_aff(p, contraction);
p = isl_printer_print_str(p, " (use --no-group-chains to disable)");
p = isl_printer_end_line(p);
isl_printer_free(p);
}
/* Compute a schedule on the domain of "sc" that respects the schedule
* constraints in "sc", after trying to combine groups of statements.
*
* "schedule" is a known correct schedule that is used while combining
* groups of statements.
* In particular, statements that are executed consecutively in a sequence
* in this schedule and where all instances of the second depend on
* the instance of the first that is executed in the same iteration
* of outer band nodes are grouped together into a single statement.
* The schedule constraints are then mapped to these groups of statements
* and the resulting schedule is expanded again to refer to the original
* statements.
*/
__isl_give isl_schedule *ppcg_compute_grouping_schedule(
__isl_take isl_schedule_constraints *sc,
__isl_keep isl_schedule *schedule, struct ppcg_options *options)
{
struct ppcg_grouping grouping = { sc };
isl_union_pw_multi_aff *contraction;
isl_union_map *umap;
isl_schedule *res, *expansion;
grouping.group_id = 0;
if (isl_schedule_foreach_schedule_node_top_down(schedule,
&detect_groups, &grouping) < 0)
goto error;
if (!grouping.contraction) {
ppcg_grouping_clear(&grouping);
return ppcg_compute_non_grouping_schedule(grouping.sc, options);
}
complete_grouping(&grouping);
contraction = isl_union_pw_multi_aff_copy(grouping.contraction);
report_grouping(contraction, options);
umap = isl_union_map_from_union_pw_multi_aff(contraction);
sc = isl_schedule_constraints_apply(grouping.sc, umap);
res = ppcg_compute_non_grouping_schedule(sc, options);
contraction = isl_union_pw_multi_aff_copy(grouping.contraction);
expansion = isl_schedule_copy(grouping.schedule);
res = isl_schedule_expand(res, contraction, expansion);
ppcg_grouping_clear(&grouping);
return res;
error:
ppcg_grouping_clear(&grouping);
isl_schedule_constraints_free(sc);
return NULL;
}
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