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-rw-r--r--polly/lib/External/isl/isl_ast_graft.c1242
1 files changed, 1242 insertions, 0 deletions
diff --git a/polly/lib/External/isl/isl_ast_graft.c b/polly/lib/External/isl/isl_ast_graft.c
new file mode 100644
index 00000000000..611ef5dcf6e
--- /dev/null
+++ b/polly/lib/External/isl/isl_ast_graft.c
@@ -0,0 +1,1242 @@
+/*
+ * Copyright 2012 Ecole Normale Superieure
+ * Copyright 2014 INRIA Rocquencourt
+ *
+ * Use of this software is governed by the MIT license
+ *
+ * Written by Sven Verdoolaege,
+ * Ecole Normale Superieure, 45 rue d’Ulm, 75230 Paris, France
+ * and Inria Paris - Rocquencourt, Domaine de Voluceau - Rocquencourt,
+ * B.P. 105 - 78153 Le Chesnay, France
+ */
+
+#include <isl_ast_private.h>
+#include <isl_ast_build_expr.h>
+#include <isl_ast_build_private.h>
+#include <isl_ast_graft_private.h>
+
+static __isl_give isl_ast_graft *isl_ast_graft_copy(
+ __isl_keep isl_ast_graft *graft);
+
+#undef BASE
+#define BASE ast_graft
+
+#include <isl_list_templ.c>
+
+#undef BASE
+#define BASE ast_graft
+#include <print_templ.c>
+
+isl_ctx *isl_ast_graft_get_ctx(__isl_keep isl_ast_graft *graft)
+{
+ if (!graft)
+ return NULL;
+ return isl_basic_set_get_ctx(graft->enforced);
+}
+
+__isl_give isl_ast_node *isl_ast_graft_get_node(
+ __isl_keep isl_ast_graft *graft)
+{
+ return graft ? isl_ast_node_copy(graft->node) : NULL;
+}
+
+/* Create a graft for "node" with no guards and no enforced conditions.
+ */
+__isl_give isl_ast_graft *isl_ast_graft_alloc(
+ __isl_take isl_ast_node *node, __isl_keep isl_ast_build *build)
+{
+ isl_ctx *ctx;
+ isl_space *space;
+ isl_ast_graft *graft;
+
+ if (!node)
+ return NULL;
+
+ ctx = isl_ast_node_get_ctx(node);
+ graft = isl_calloc_type(ctx, isl_ast_graft);
+ if (!graft)
+ goto error;
+
+ space = isl_ast_build_get_space(build, 1);
+
+ graft->ref = 1;
+ graft->node = node;
+ graft->guard = isl_set_universe(isl_space_copy(space));
+ graft->enforced = isl_basic_set_universe(space);
+
+ if (!graft->guard || !graft->enforced)
+ return isl_ast_graft_free(graft);
+
+ return graft;
+error:
+ isl_ast_node_free(node);
+ return NULL;
+}
+
+/* Create a graft with no guards and no enforced conditions
+ * encapsulating a call to the domain element specified by "executed".
+ * "executed" is assumed to be single-valued.
+ */
+__isl_give isl_ast_graft *isl_ast_graft_alloc_domain(
+ __isl_take isl_map *executed, __isl_keep isl_ast_build *build)
+{
+ isl_ast_node *node;
+
+ node = isl_ast_build_call_from_executed(build, executed);
+
+ return isl_ast_graft_alloc(node, build);
+}
+
+static __isl_give isl_ast_graft *isl_ast_graft_copy(
+ __isl_keep isl_ast_graft *graft)
+{
+ if (!graft)
+ return NULL;
+
+ graft->ref++;
+ return graft;
+}
+
+/* Do all the grafts in "list" have the same guard and is this guard
+ * independent of the current depth?
+ */
+static int equal_independent_guards(__isl_keep isl_ast_graft_list *list,
+ __isl_keep isl_ast_build *build)
+{
+ int i, n;
+ int depth;
+ isl_ast_graft *graft_0;
+ int equal = 1;
+ int skip;
+
+ graft_0 = isl_ast_graft_list_get_ast_graft(list, 0);
+ if (!graft_0)
+ return -1;
+
+ depth = isl_ast_build_get_depth(build);
+ skip = isl_set_involves_dims(graft_0->guard, isl_dim_set, depth, 1);
+ if (skip < 0 || skip) {
+ isl_ast_graft_free(graft_0);
+ return skip < 0 ? -1 : 0;
+ }
+
+ n = isl_ast_graft_list_n_ast_graft(list);
+ for (i = 1; i < n; ++i) {
+ isl_ast_graft *graft;
+ graft = isl_ast_graft_list_get_ast_graft(list, i);
+ if (!graft)
+ equal = -1;
+ else
+ equal = isl_set_is_equal(graft_0->guard, graft->guard);
+ isl_ast_graft_free(graft);
+ if (equal < 0 || !equal)
+ break;
+ }
+
+ isl_ast_graft_free(graft_0);
+
+ return equal;
+}
+
+/* Hoist "guard" out of the current level (given by "build").
+ *
+ * In particular, eliminate the dimension corresponding to the current depth.
+ */
+static __isl_give isl_set *hoist_guard(__isl_take isl_set *guard,
+ __isl_keep isl_ast_build *build)
+{
+ int depth;
+
+ depth = isl_ast_build_get_depth(build);
+ if (depth < isl_set_dim(guard, isl_dim_set)) {
+ guard = isl_set_remove_divs_involving_dims(guard,
+ isl_dim_set, depth, 1);
+ guard = isl_set_eliminate(guard, isl_dim_set, depth, 1);
+ guard = isl_set_compute_divs(guard);
+ }
+
+ return guard;
+}
+
+/* Extract a common guard from the grafts in "list" that can be hoisted
+ * out of the current level. If no such guard can be found, then return
+ * a universal set.
+ *
+ * If all the grafts in the list have the same guard and if this guard
+ * is independent of the current level, then it can be hoisted out.
+ * If there is only one graft in the list and if its guard
+ * depends on the current level, then we eliminate this level and
+ * return the result.
+ *
+ * Otherwise, we return the unshifted simple hull of the guards.
+ * In order to be able to hoist as many constraints as possible,
+ * but at the same time avoid hoisting constraints that did not
+ * appear in the guards in the first place, we intersect the guards
+ * with all the information that is available (i.e., the domain
+ * from the build and the enforced constraints of the graft) and
+ * compute the unshifted hull of the result using only constraints
+ * from the original guards.
+ * In particular, intersecting the guards with other known information
+ * allows us to hoist guards that are only explicit is some of
+ * the grafts and implicit in the others.
+ *
+ * The special case for equal guards is needed in case those guards
+ * are non-convex. Taking the simple hull would remove information
+ * and would not allow for these guards to be hoisted completely.
+ */
+__isl_give isl_set *isl_ast_graft_list_extract_hoistable_guard(
+ __isl_keep isl_ast_graft_list *list, __isl_keep isl_ast_build *build)
+{
+ int i, n;
+ int equal;
+ isl_ctx *ctx;
+ isl_set *guard;
+ isl_set_list *set_list;
+ isl_basic_set *hull;
+
+ if (!list || !build)
+ return NULL;
+
+ n = isl_ast_graft_list_n_ast_graft(list);
+ if (n == 0)
+ return isl_set_universe(isl_ast_build_get_space(build, 1));
+
+ equal = equal_independent_guards(list, build);
+ if (equal < 0)
+ return NULL;
+
+ if (equal || n == 1) {
+ isl_ast_graft *graft_0;
+
+ graft_0 = isl_ast_graft_list_get_ast_graft(list, 0);
+ if (!graft_0)
+ return NULL;
+ guard = isl_set_copy(graft_0->guard);
+ if (!equal)
+ guard = hoist_guard(guard, build);
+ isl_ast_graft_free(graft_0);
+ return guard;
+ }
+
+ ctx = isl_ast_build_get_ctx(build);
+ set_list = isl_set_list_alloc(ctx, n);
+ guard = isl_set_empty(isl_ast_build_get_space(build, 1));
+ for (i = 0; i < n; ++i) {
+ isl_ast_graft *graft;
+ isl_basic_set *enforced;
+ isl_set *guard_i;
+
+ graft = isl_ast_graft_list_get_ast_graft(list, i);
+ enforced = isl_ast_graft_get_enforced(graft);
+ guard_i = isl_set_copy(graft->guard);
+ isl_ast_graft_free(graft);
+ set_list = isl_set_list_add(set_list, isl_set_copy(guard_i));
+ guard_i = isl_set_intersect(guard_i,
+ isl_set_from_basic_set(enforced));
+ guard_i = isl_set_intersect(guard_i,
+ isl_ast_build_get_domain(build));
+ guard = isl_set_union(guard, guard_i);
+ }
+ hull = isl_set_unshifted_simple_hull_from_set_list(guard, set_list);
+ guard = isl_set_from_basic_set(hull);
+ return hoist_guard(guard, build);
+}
+
+/* Internal data structure used inside insert_if.
+ *
+ * list is the list of guarded nodes created by each call to insert_if.
+ * node is the original node that is guarded by insert_if.
+ * build is the build in which the AST is constructed.
+ */
+struct isl_insert_if_data {
+ isl_ast_node_list *list;
+ isl_ast_node *node;
+ isl_ast_build *build;
+};
+
+static int insert_if(__isl_take isl_basic_set *bset, void *user);
+
+/* Insert an if node around "node" testing the condition encoded
+ * in guard "guard".
+ *
+ * If the user does not want any disjunctions in the if conditions
+ * and if "guard" does involve a disjunction, then we make the different
+ * disjuncts disjoint and insert an if node corresponding to each disjunct
+ * around a copy of "node". The result is then a block node containing
+ * this sequence of guarded copies of "node".
+ */
+static __isl_give isl_ast_node *ast_node_insert_if(
+ __isl_take isl_ast_node *node, __isl_take isl_set *guard,
+ __isl_keep isl_ast_build *build)
+{
+ struct isl_insert_if_data data;
+ isl_ctx *ctx;
+
+ ctx = isl_ast_build_get_ctx(build);
+ if (isl_options_get_ast_build_allow_or(ctx) ||
+ isl_set_n_basic_set(guard) <= 1) {
+ isl_ast_node *if_node;
+ isl_ast_expr *expr;
+
+ expr = isl_ast_build_expr_from_set(build, guard);
+
+ if_node = isl_ast_node_alloc_if(expr);
+ return isl_ast_node_if_set_then(if_node, node);
+ }
+
+ guard = isl_set_make_disjoint(guard);
+
+ data.list = isl_ast_node_list_alloc(ctx, 0);
+ data.node = node;
+ data.build = build;
+ if (isl_set_foreach_basic_set(guard, &insert_if, &data) < 0)
+ data.list = isl_ast_node_list_free(data.list);
+
+ isl_set_free(guard);
+ isl_ast_node_free(data.node);
+ return isl_ast_node_alloc_block(data.list);
+}
+
+/* Insert an if node around a copy of "data->node" testing the condition
+ * encoded in guard "bset" and add the result to data->list.
+ */
+static int insert_if(__isl_take isl_basic_set *bset, void *user)
+{
+ struct isl_insert_if_data *data = user;
+ isl_ast_node *node;
+ isl_set *set;
+
+ set = isl_set_from_basic_set(bset);
+ node = isl_ast_node_copy(data->node);
+ node = ast_node_insert_if(node, set, data->build);
+ data->list = isl_ast_node_list_add(data->list, node);
+
+ return 0;
+}
+
+/* Insert an if node around graft->node testing the condition encoded
+ * in guard "guard", assuming guard involves any conditions.
+ */
+static __isl_give isl_ast_graft *insert_if_node(
+ __isl_take isl_ast_graft *graft, __isl_take isl_set *guard,
+ __isl_keep isl_ast_build *build)
+{
+ int univ;
+
+ if (!graft)
+ goto error;
+
+ univ = isl_set_plain_is_universe(guard);
+ if (univ < 0)
+ goto error;
+ if (univ) {
+ isl_set_free(guard);
+ return graft;
+ }
+
+ build = isl_ast_build_copy(build);
+ graft->node = ast_node_insert_if(graft->node, guard, build);
+ isl_ast_build_free(build);
+
+ if (!graft->node)
+ return isl_ast_graft_free(graft);
+
+ return graft;
+error:
+ isl_set_free(guard);
+ return isl_ast_graft_free(graft);
+}
+
+/* Insert an if node around graft->node testing the condition encoded
+ * in graft->guard, assuming graft->guard involves any conditions.
+ */
+static __isl_give isl_ast_graft *insert_pending_guard_node(
+ __isl_take isl_ast_graft *graft, __isl_keep isl_ast_build *build)
+{
+ if (!graft)
+ return NULL;
+
+ return insert_if_node(graft, isl_set_copy(graft->guard), build);
+}
+
+/* Replace graft->enforced by "enforced".
+ */
+__isl_give isl_ast_graft *isl_ast_graft_set_enforced(
+ __isl_take isl_ast_graft *graft, __isl_take isl_basic_set *enforced)
+{
+ if (!graft || !enforced)
+ goto error;
+
+ isl_basic_set_free(graft->enforced);
+ graft->enforced = enforced;
+
+ return graft;
+error:
+ isl_basic_set_free(enforced);
+ return isl_ast_graft_free(graft);
+}
+
+/* Update "enforced" such that it only involves constraints that are
+ * also enforced by "graft".
+ */
+static __isl_give isl_basic_set *update_enforced(
+ __isl_take isl_basic_set *enforced, __isl_keep isl_ast_graft *graft,
+ int depth)
+{
+ isl_basic_set *enforced_g;
+
+ enforced_g = isl_ast_graft_get_enforced(graft);
+ if (depth < isl_basic_set_dim(enforced_g, isl_dim_set))
+ enforced_g = isl_basic_set_eliminate(enforced_g,
+ isl_dim_set, depth, 1);
+ enforced_g = isl_basic_set_remove_unknown_divs(enforced_g);
+ enforced_g = isl_basic_set_align_params(enforced_g,
+ isl_basic_set_get_space(enforced));
+ enforced = isl_basic_set_align_params(enforced,
+ isl_basic_set_get_space(enforced_g));
+ enforced = isl_set_simple_hull(isl_basic_set_union(enforced,
+ enforced_g));
+
+ return enforced;
+}
+
+/* Extend the node at *body with node.
+ *
+ * If body points to the else branch, then *body may still be NULL.
+ * If so, we simply attach node to this else branch.
+ * Otherwise, we attach a list containing the statements already
+ * attached at *body followed by node.
+ */
+static void extend_body(__isl_keep isl_ast_node **body,
+ __isl_take isl_ast_node *node)
+{
+ isl_ast_node_list *list;
+
+ if (!*body) {
+ *body = node;
+ return;
+ }
+
+ if ((*body)->type == isl_ast_node_block) {
+ list = isl_ast_node_block_get_children(*body);
+ isl_ast_node_free(*body);
+ } else
+ list = isl_ast_node_list_from_ast_node(*body);
+ list = isl_ast_node_list_add(list, node);
+ *body = isl_ast_node_alloc_block(list);
+}
+
+/* Merge "graft" into the last graft of "list".
+ * body points to the then or else branch of an if node in that last graft.
+ *
+ * We attach graft->node to this branch and update the enforced
+ * set of the last graft of "list" to take into account the enforced
+ * set of "graft".
+ */
+static __isl_give isl_ast_graft_list *graft_extend_body(
+ __isl_take isl_ast_graft_list *list,
+ __isl_keep isl_ast_node **body, __isl_take isl_ast_graft *graft,
+ __isl_keep isl_ast_build *build)
+{
+ int n;
+ int depth;
+ isl_ast_graft *last;
+ isl_space *space;
+ isl_basic_set *enforced;
+
+ if (!list || !graft)
+ goto error;
+ extend_body(body, isl_ast_node_copy(graft->node));
+ if (!*body)
+ goto error;
+
+ n = isl_ast_graft_list_n_ast_graft(list);
+ last = isl_ast_graft_list_get_ast_graft(list, n - 1);
+
+ depth = isl_ast_build_get_depth(build);
+ space = isl_ast_build_get_space(build, 1);
+ enforced = isl_basic_set_empty(space);
+ enforced = update_enforced(enforced, last, depth);
+ enforced = update_enforced(enforced, graft, depth);
+ last = isl_ast_graft_set_enforced(last, enforced);
+
+ list = isl_ast_graft_list_set_ast_graft(list, n - 1, last);
+ isl_ast_graft_free(graft);
+ return list;
+error:
+ isl_ast_graft_free(graft);
+ return isl_ast_graft_list_free(list);
+}
+
+/* Merge "graft" into the last graft of "list", attaching graft->node
+ * to the then branch of "last_if".
+ */
+static __isl_give isl_ast_graft_list *extend_then(
+ __isl_take isl_ast_graft_list *list,
+ __isl_keep isl_ast_node *last_if, __isl_take isl_ast_graft *graft,
+ __isl_keep isl_ast_build *build)
+{
+ return graft_extend_body(list, &last_if->u.i.then, graft, build);
+}
+
+/* Merge "graft" into the last graft of "list", attaching graft->node
+ * to the else branch of "last_if".
+ */
+static __isl_give isl_ast_graft_list *extend_else(
+ __isl_take isl_ast_graft_list *list,
+ __isl_keep isl_ast_node *last_if, __isl_take isl_ast_graft *graft,
+ __isl_keep isl_ast_build *build)
+{
+ return graft_extend_body(list, &last_if->u.i.else_node, graft, build);
+}
+
+/* This data structure keeps track of an if node.
+ *
+ * "node" is the actual if-node
+ * "guard" is the original, non-simplified guard of the node
+ * "complement" is the complement of "guard" in the context of outer if nodes
+ */
+struct isl_if_node {
+ isl_ast_node *node;
+ isl_set *guard;
+ isl_set *complement;
+};
+
+/* Given a list of "n" if nodes, clear those starting at "first"
+ * and return "first" (i.e., the updated size of the array).
+ */
+static int clear_if_nodes(struct isl_if_node *if_node, int first, int n)
+{
+ int i;
+
+ for (i = first; i < n; ++i) {
+ isl_set_free(if_node[i].guard);
+ isl_set_free(if_node[i].complement);
+ }
+
+ return first;
+}
+
+/* For each graft in "list",
+ * insert an if node around graft->node testing the condition encoded
+ * in graft->guard, assuming graft->guard involves any conditions.
+ *
+ * We keep track of a list of generated if nodes that can be extended
+ * without changing the order of the elements in "list".
+ * If the guard of a graft is a subset of either the guard or its complement
+ * of one of those if nodes, then the node
+ * of the new graft is inserted into the then or else branch of the last graft
+ * and the current graft is discarded.
+ * The guard of the node is then simplified based on the conditions
+ * enforced at that then or else branch.
+ * Otherwise, the current graft is appended to the list.
+ *
+ * We only construct else branches if allowed by the user.
+ */
+static __isl_give isl_ast_graft_list *insert_pending_guard_nodes(
+ __isl_take isl_ast_graft_list *list,
+ __isl_keep isl_ast_build *build)
+{
+ int i, j, n, n_if;
+ int allow_else;
+ isl_ctx *ctx;
+ isl_ast_graft_list *res;
+ struct isl_if_node *if_node = NULL;
+
+ if (!build || !list)
+ return isl_ast_graft_list_free(list);
+
+ ctx = isl_ast_build_get_ctx(build);
+ n = isl_ast_graft_list_n_ast_graft(list);
+
+ allow_else = isl_options_get_ast_build_allow_else(ctx);
+
+ n_if = 0;
+ if (n > 1) {
+ if_node = isl_alloc_array(ctx, struct isl_if_node, n - 1);
+ if (!if_node)
+ return isl_ast_graft_list_free(list);
+ }
+
+ res = isl_ast_graft_list_alloc(ctx, n);
+
+ for (i = 0; i < n; ++i) {
+ isl_set *guard;
+ isl_ast_graft *graft;
+ int subset, found_then, found_else;
+ isl_ast_node *node;
+
+ graft = isl_ast_graft_list_get_ast_graft(list, i);
+ if (!graft)
+ break;
+ subset = 0;
+ found_then = found_else = -1;
+ if (n_if > 0) {
+ isl_set *test;
+ test = isl_set_copy(graft->guard);
+ test = isl_set_intersect(test,
+ isl_set_copy(build->domain));
+ for (j = n_if - 1; j >= 0; --j) {
+ subset = isl_set_is_subset(test,
+ if_node[j].guard);
+ if (subset < 0 || subset) {
+ found_then = j;
+ break;
+ }
+ if (!allow_else)
+ continue;
+ subset = isl_set_is_subset(test,
+ if_node[j].complement);
+ if (subset < 0 || subset) {
+ found_else = j;
+ break;
+ }
+ }
+ n_if = clear_if_nodes(if_node, j + 1, n_if);
+ isl_set_free(test);
+ }
+ if (subset < 0) {
+ graft = isl_ast_graft_free(graft);
+ break;
+ }
+
+ guard = isl_set_copy(graft->guard);
+ if (found_then >= 0)
+ graft->guard = isl_set_gist(graft->guard,
+ isl_set_copy(if_node[found_then].guard));
+ else if (found_else >= 0)
+ graft->guard = isl_set_gist(graft->guard,
+ isl_set_copy(if_node[found_else].complement));
+
+ node = graft->node;
+ if (!graft->guard)
+ graft = isl_ast_graft_free(graft);
+ graft = insert_pending_guard_node(graft, build);
+ if (graft && graft->node != node && i != n - 1) {
+ isl_set *set;
+ if_node[n_if].node = graft->node;
+ if_node[n_if].guard = guard;
+ if (found_then >= 0)
+ set = if_node[found_then].guard;
+ else if (found_else >= 0)
+ set = if_node[found_else].complement;
+ else
+ set = build->domain;
+ set = isl_set_copy(set);
+ set = isl_set_subtract(set, isl_set_copy(guard));
+ if_node[n_if].complement = set;
+ n_if++;
+ } else
+ isl_set_free(guard);
+ if (!graft)
+ break;
+
+ if (found_then >= 0)
+ res = extend_then(res, if_node[found_then].node,
+ graft, build);
+ else if (found_else >= 0)
+ res = extend_else(res, if_node[found_else].node,
+ graft, build);
+ else
+ res = isl_ast_graft_list_add(res, graft);
+ }
+ if (i < n)
+ res = isl_ast_graft_list_free(res);
+
+ isl_ast_graft_list_free(list);
+ clear_if_nodes(if_node, 0, n_if);
+ free(if_node);
+ return res;
+}
+
+/* Collect the nodes contained in the grafts in "list" in a node list.
+ */
+static __isl_give isl_ast_node_list *extract_node_list(
+ __isl_keep isl_ast_graft_list *list)
+{
+ int i, n;
+ isl_ctx *ctx;
+ isl_ast_node_list *node_list;
+
+ if (!list)
+ return NULL;
+ ctx = isl_ast_graft_list_get_ctx(list);
+ n = isl_ast_graft_list_n_ast_graft(list);
+ node_list = isl_ast_node_list_alloc(ctx, n);
+ for (i = 0; i < n; ++i) {
+ isl_ast_node *node;
+ isl_ast_graft *graft;
+
+ graft = isl_ast_graft_list_get_ast_graft(list, i);
+ node = isl_ast_graft_get_node(graft);
+ node_list = isl_ast_node_list_add(node_list, node);
+ isl_ast_graft_free(graft);
+ }
+
+ return node_list;
+}
+
+/* Look for shared enforced constraints by all the elements in "list"
+ * on outer loops (with respect to the current depth) and return the result.
+ *
+ * We assume that the number of children is at least one.
+ */
+__isl_give isl_basic_set *isl_ast_graft_list_extract_shared_enforced(
+ __isl_keep isl_ast_graft_list *list,
+ __isl_keep isl_ast_build *build)
+{
+ int i, n;
+ int depth;
+ isl_space *space;
+ isl_basic_set *enforced;
+
+ if (!list)
+ return NULL;
+
+ n = isl_ast_graft_list_n_ast_graft(list);
+ if (n == 0)
+ isl_die(isl_ast_graft_list_get_ctx(list), isl_error_invalid,
+ "for node should have at least one child",
+ return NULL);
+
+ space = isl_ast_build_get_space(build, 1);
+ enforced = isl_basic_set_empty(space);
+
+ depth = isl_ast_build_get_depth(build);
+ for (i = 0; i < n; ++i) {
+ isl_ast_graft *graft;
+
+ graft = isl_ast_graft_list_get_ast_graft(list, i);
+ enforced = update_enforced(enforced, graft, depth);
+ isl_ast_graft_free(graft);
+ }
+
+ return enforced;
+}
+
+/* Record "guard" in "graft" so that it will be enforced somewhere
+ * up the tree. If the graft already has a guard, then it may be partially
+ * redundant in combination with the new guard and in the context
+ * the generated constraints of "build". In fact, the new guard
+ * may in itself have some redundant constraints.
+ * We therefore (re)compute the gist of the intersection
+ * and coalesce the result.
+ */
+static __isl_give isl_ast_graft *store_guard(__isl_take isl_ast_graft *graft,
+ __isl_take isl_set *guard, __isl_keep isl_ast_build *build)
+{
+ int is_universe;
+
+ if (!graft)
+ goto error;
+
+ is_universe = isl_set_plain_is_universe(guard);
+ if (is_universe < 0)
+ goto error;
+ if (is_universe) {
+ isl_set_free(guard);
+ return graft;
+ }
+
+ graft->guard = isl_set_intersect(graft->guard, guard);
+ graft->guard = isl_set_gist(graft->guard,
+ isl_ast_build_get_generated(build));
+ graft->guard = isl_set_coalesce(graft->guard);
+ if (!graft->guard)
+ return isl_ast_graft_free(graft);
+
+ return graft;
+error:
+ isl_set_free(guard);
+ return isl_ast_graft_free(graft);
+}
+
+/* For each graft in "list", replace its guard with the gist with
+ * respect to "context".
+ */
+static __isl_give isl_ast_graft_list *gist_guards(
+ __isl_take isl_ast_graft_list *list, __isl_keep isl_set *context)
+{
+ int i, n;
+
+ if (!list)
+ return NULL;
+
+ n = isl_ast_graft_list_n_ast_graft(list);
+ for (i = 0; i < n; ++i) {
+ isl_ast_graft *graft;
+
+ graft = isl_ast_graft_list_get_ast_graft(list, i);
+ if (!graft)
+ break;
+ graft->guard = isl_set_gist(graft->guard,
+ isl_set_copy(context));
+ if (!graft->guard)
+ graft = isl_ast_graft_free(graft);
+ list = isl_ast_graft_list_set_ast_graft(list, i, graft);
+ }
+ if (i < n)
+ return isl_ast_graft_list_free(list);
+
+ return list;
+}
+
+/* For each graft in "list", replace its guard with the gist with
+ * respect to "context".
+ */
+__isl_give isl_ast_graft_list *isl_ast_graft_list_gist_guards(
+ __isl_take isl_ast_graft_list *list, __isl_take isl_set *context)
+{
+ list = gist_guards(list, context);
+ isl_set_free(context);
+
+ return list;
+}
+
+/* Allocate a graft in "build" based on the list of grafts in "sub_build".
+ * "guard" and "enforced" are the guard and enforced constraints
+ * of the allocated graft. The guard is used to simplify the guards
+ * of the elements in "list".
+ *
+ * The node is initialized to either a block containing the nodes of "children"
+ * or, if there is only a single child, the node of that child.
+ * If the current level requires a for node, it should be inserted by
+ * a subsequent call to isl_ast_graft_insert_for.
+ */
+__isl_give isl_ast_graft *isl_ast_graft_alloc_from_children(
+ __isl_take isl_ast_graft_list *list, __isl_take isl_set *guard,
+ __isl_take isl_basic_set *enforced, __isl_keep isl_ast_build *build,
+ __isl_keep isl_ast_build *sub_build)
+{
+ isl_ast_build *guard_build;
+ isl_ast_node *node;
+ isl_ast_node_list *node_list;
+ isl_ast_graft *graft;
+
+ guard_build = isl_ast_build_copy(sub_build);
+ guard_build = isl_ast_build_replace_pending_by_guard(guard_build,
+ isl_set_copy(guard));
+ list = gist_guards(list, guard);
+ list = insert_pending_guard_nodes(list, guard_build);
+ isl_ast_build_free(guard_build);
+
+ node_list = extract_node_list(list);
+ node = isl_ast_node_from_ast_node_list(node_list);
+ isl_ast_graft_list_free(list);
+
+ graft = isl_ast_graft_alloc(node, build);
+ graft = store_guard(graft, guard, build);
+ graft = isl_ast_graft_enforce(graft, enforced);
+
+ return graft;
+}
+
+/* Combine the grafts in the list into a single graft.
+ *
+ * The guard is initialized to the shared guard of the list elements (if any),
+ * provided it does not depend on the current dimension.
+ * The guards in the elements are then simplified with respect to the
+ * hoisted guard and materialized as if nodes around the contained AST nodes
+ * in the context of "sub_build".
+ *
+ * The enforced set is initialized to the simple hull of the enforced sets
+ * of the elements, provided the ast_build_exploit_nested_bounds option is set
+ * or the new graft will be used at the same level.
+ *
+ * The node is initialized to either a block containing the nodes of "list"
+ * or, if there is only a single element, the node of that element.
+ */
+static __isl_give isl_ast_graft *ast_graft_list_fuse(
+ __isl_take isl_ast_graft_list *list, __isl_keep isl_ast_build *build)
+{
+ isl_ast_graft *graft;
+ isl_basic_set *enforced;
+ isl_set *guard;
+
+ if (!list)
+ return NULL;
+
+ enforced = isl_ast_graft_list_extract_shared_enforced(list, build);
+ guard = isl_ast_graft_list_extract_hoistable_guard(list, build);
+ graft = isl_ast_graft_alloc_from_children(list, guard, enforced,
+ build, build);
+
+ return graft;
+}
+
+/* Combine the grafts in the list into a single graft.
+ * Return a list containing this single graft.
+ * If the original list is empty, then return an empty list.
+ */
+__isl_give isl_ast_graft_list *isl_ast_graft_list_fuse(
+ __isl_take isl_ast_graft_list *list,
+ __isl_keep isl_ast_build *build)
+{
+ isl_ast_graft *graft;
+
+ if (!list)
+ return NULL;
+ if (isl_ast_graft_list_n_ast_graft(list) <= 1)
+ return list;
+ graft = ast_graft_list_fuse(list, build);
+ return isl_ast_graft_list_from_ast_graft(graft);
+}
+
+/* Combine the two grafts into a single graft.
+ * Return a list containing this single graft.
+ */
+static __isl_give isl_ast_graft *isl_ast_graft_fuse(
+ __isl_take isl_ast_graft *graft1, __isl_take isl_ast_graft *graft2,
+ __isl_keep isl_ast_build *build)
+{
+ isl_ctx *ctx;
+ isl_ast_graft_list *list;
+
+ ctx = isl_ast_build_get_ctx(build);
+
+ list = isl_ast_graft_list_alloc(ctx, 2);
+ list = isl_ast_graft_list_add(list, graft1);
+ list = isl_ast_graft_list_add(list, graft2);
+
+ return ast_graft_list_fuse(list, build);
+}
+
+/* Insert a for node enclosing the current graft->node.
+ */
+__isl_give isl_ast_graft *isl_ast_graft_insert_for(
+ __isl_take isl_ast_graft *graft, __isl_take isl_ast_node *node)
+{
+ if (!graft)
+ goto error;
+
+ graft->node = isl_ast_node_for_set_body(node, graft->node);
+ if (!graft->node)
+ return isl_ast_graft_free(graft);
+
+ return graft;
+error:
+ isl_ast_node_free(node);
+ isl_ast_graft_free(graft);
+ return NULL;
+}
+
+/* Represent the graft list as an AST node.
+ * This operation drops the information about guards in the grafts, so
+ * if there are any pending guards, then they are materialized as if nodes.
+ */
+__isl_give isl_ast_node *isl_ast_node_from_graft_list(
+ __isl_take isl_ast_graft_list *list,
+ __isl_keep isl_ast_build *build)
+{
+ isl_ast_node_list *node_list;
+
+ list = insert_pending_guard_nodes(list, build);
+ node_list = extract_node_list(list);
+ isl_ast_graft_list_free(list);
+
+ return isl_ast_node_from_ast_node_list(node_list);
+}
+
+void *isl_ast_graft_free(__isl_take isl_ast_graft *graft)
+{
+ if (!graft)
+ return NULL;
+
+ if (--graft->ref > 0)
+ return NULL;
+
+ isl_ast_node_free(graft->node);
+ isl_set_free(graft->guard);
+ isl_basic_set_free(graft->enforced);
+ free(graft);
+
+ return NULL;
+}
+
+/* Record that the grafted tree enforces
+ * "enforced" by intersecting graft->enforced with "enforced".
+ */
+__isl_give isl_ast_graft *isl_ast_graft_enforce(
+ __isl_take isl_ast_graft *graft, __isl_take isl_basic_set *enforced)
+{
+ if (!graft || !enforced)
+ goto error;
+
+ enforced = isl_basic_set_align_params(enforced,
+ isl_basic_set_get_space(graft->enforced));
+ graft->enforced = isl_basic_set_align_params(graft->enforced,
+ isl_basic_set_get_space(enforced));
+ graft->enforced = isl_basic_set_intersect(graft->enforced, enforced);
+ if (!graft->enforced)
+ return isl_ast_graft_free(graft);
+
+ return graft;
+error:
+ isl_basic_set_free(enforced);
+ return isl_ast_graft_free(graft);
+}
+
+__isl_give isl_basic_set *isl_ast_graft_get_enforced(
+ __isl_keep isl_ast_graft *graft)
+{
+ return graft ? isl_basic_set_copy(graft->enforced) : NULL;
+}
+
+__isl_give isl_set *isl_ast_graft_get_guard(__isl_keep isl_ast_graft *graft)
+{
+ return graft ? isl_set_copy(graft->guard) : NULL;
+}
+
+/* Record that "guard" needs to be inserted in "graft".
+ */
+__isl_give isl_ast_graft *isl_ast_graft_add_guard(
+ __isl_take isl_ast_graft *graft,
+ __isl_take isl_set *guard, __isl_keep isl_ast_build *build)
+{
+ return store_guard(graft, guard, build);
+}
+
+/* Reformulate the "graft", which was generated in the context
+ * of an inner code generation, in terms of the outer code generation
+ * AST build.
+ *
+ * If "product" is set, then the domain of the inner code generation build is
+ *
+ * [O -> S]
+ *
+ * with O the domain of the outer code generation build.
+ * We essentially need to project out S.
+ *
+ * If "product" is not set, then we need to project the domains onto
+ * their parameter spaces.
+ */
+__isl_give isl_ast_graft *isl_ast_graft_unembed(__isl_take isl_ast_graft *graft,
+ int product)
+{
+ isl_basic_set *enforced;
+
+ if (!graft)
+ return NULL;
+
+ if (product) {
+ enforced = graft->enforced;
+ enforced = isl_basic_map_domain(isl_basic_set_unwrap(enforced));
+ graft->enforced = enforced;
+ graft->guard = isl_map_domain(isl_set_unwrap(graft->guard));
+ } else {
+ graft->enforced = isl_basic_set_params(graft->enforced);
+ graft->guard = isl_set_params(graft->guard);
+ }
+ graft->guard = isl_set_compute_divs(graft->guard);
+
+ if (!graft->enforced || !graft->guard)
+ return isl_ast_graft_free(graft);
+
+ return graft;
+}
+
+/* Reformulate the grafts in "list", which were generated in the context
+ * of an inner code generation, in terms of the outer code generation
+ * AST build.
+ */
+__isl_give isl_ast_graft_list *isl_ast_graft_list_unembed(
+ __isl_take isl_ast_graft_list *list, int product)
+{
+ int i, n;
+
+ n = isl_ast_graft_list_n_ast_graft(list);
+ for (i = 0; i < n; ++i) {
+ isl_ast_graft *graft;
+
+ graft = isl_ast_graft_list_get_ast_graft(list, i);
+ graft = isl_ast_graft_unembed(graft, product);
+ list = isl_ast_graft_list_set_ast_graft(list, i, graft);
+ }
+
+ return list;
+}
+
+/* Compute the preimage of "graft" under the function represented by "ma".
+ * In other words, plug in "ma" in "enforced" and "guard" fields of "graft".
+ */
+__isl_give isl_ast_graft *isl_ast_graft_preimage_multi_aff(
+ __isl_take isl_ast_graft *graft, __isl_take isl_multi_aff *ma)
+{
+ isl_basic_set *enforced;
+
+ if (!graft)
+ return NULL;
+
+ enforced = graft->enforced;
+ graft->enforced = isl_basic_set_preimage_multi_aff(enforced,
+ isl_multi_aff_copy(ma));
+ graft->guard = isl_set_preimage_multi_aff(graft->guard, ma);
+
+ if (!graft->enforced || !graft->guard)
+ return isl_ast_graft_free(graft);
+
+ return graft;
+}
+
+/* Compute the preimage of all the grafts in "list" under
+ * the function represented by "ma".
+ */
+__isl_give isl_ast_graft_list *isl_ast_graft_list_preimage_multi_aff(
+ __isl_take isl_ast_graft_list *list, __isl_take isl_multi_aff *ma)
+{
+ int i, n;
+
+ n = isl_ast_graft_list_n_ast_graft(list);
+ for (i = 0; i < n; ++i) {
+ isl_ast_graft *graft;
+
+ graft = isl_ast_graft_list_get_ast_graft(list, i);
+ graft = isl_ast_graft_preimage_multi_aff(graft,
+ isl_multi_aff_copy(ma));
+ list = isl_ast_graft_list_set_ast_graft(list, i, graft);
+ }
+
+ isl_multi_aff_free(ma);
+ return list;
+}
+
+/* Compare two grafts based on their guards.
+ */
+static int cmp_graft(__isl_keep isl_ast_graft *a, __isl_keep isl_ast_graft *b,
+ void *user)
+{
+ return isl_set_plain_cmp(a->guard, b->guard);
+}
+
+/* Order the elements in "list" based on their guards.
+ */
+__isl_give isl_ast_graft_list *isl_ast_graft_list_sort_guard(
+ __isl_take isl_ast_graft_list *list)
+{
+ return isl_ast_graft_list_sort(list, &cmp_graft, NULL);
+}
+
+/* Merge the given two lists into a single list of grafts,
+ * merging grafts with the same guard into a single graft.
+ *
+ * "list2" has been sorted using isl_ast_graft_list_sort.
+ * "list1" may be the result of a previous call to isl_ast_graft_list_merge
+ * and may therefore not be completely sorted.
+ *
+ * The elements in "list2" need to be executed after those in "list1",
+ * but if the guard of a graft in "list2" is disjoint from the guards
+ * of some final elements in "list1", then it can be moved up to before
+ * those final elements.
+ *
+ * In particular, we look at each element g of "list2" in turn
+ * and move it up beyond elements of "list1" that would be sorted
+ * after g as long as each of these elements has a guard that is disjoint
+ * from that of g.
+ *
+ * We do not allow the second or any later element of "list2" to be moved
+ * before a previous elements of "list2" even if the reason that
+ * that element didn't move up further was that its guard was not disjoint
+ * from that of the previous element in "list1".
+ */
+__isl_give isl_ast_graft_list *isl_ast_graft_list_merge(
+ __isl_take isl_ast_graft_list *list1,
+ __isl_take isl_ast_graft_list *list2,
+ __isl_keep isl_ast_build *build)
+{
+ int i, j, first;
+
+ if (!list1 || !list2 || !build)
+ goto error;
+ if (list2->n == 0) {
+ isl_ast_graft_list_free(list2);
+ return list1;
+ }
+ if (list1->n == 0) {
+ isl_ast_graft_list_free(list1);
+ return list2;
+ }
+
+ first = 0;
+ for (i = 0; i < list2->n; ++i) {
+ isl_ast_graft *graft;
+ graft = isl_ast_graft_list_get_ast_graft(list2, i);
+ if (!graft)
+ break;
+
+ for (j = list1->n; j >= 0; --j) {
+ int cmp, disjoint;
+ isl_ast_graft *graft_j;
+
+ if (j == first)
+ cmp = -1;
+ else
+ cmp = isl_set_plain_cmp(list1->p[j - 1]->guard,
+ graft->guard);
+ if (cmp > 0) {
+ disjoint = isl_set_is_disjoint(graft->guard,
+ list1->p[j - 1]->guard);
+ if (disjoint < 0) {
+ list1 = isl_ast_graft_list_free(list1);
+ break;
+ }
+ if (!disjoint)
+ cmp = -1;
+ }
+ if (cmp > 0)
+ continue;
+ if (cmp < 0) {
+ list1 = isl_ast_graft_list_insert(list1, j,
+ graft);
+ break;
+ }
+
+ --j;
+
+ graft_j = isl_ast_graft_list_get_ast_graft(list1, j);
+ graft_j = isl_ast_graft_fuse(graft_j, graft, build);
+ list1 = isl_ast_graft_list_set_ast_graft(list1, j,
+ graft_j);
+ break;
+ }
+
+ if (j < 0)
+ isl_die(isl_ast_build_get_ctx(build),
+ isl_error_internal,
+ "element failed to get inserted", break);
+
+ first = j + 1;
+ if (!list1)
+ break;
+ }
+ if (i < list2->n)
+ list1 = isl_ast_graft_list_free(list1);
+ isl_ast_graft_list_free(list2);
+
+ return list1;
+error:
+ isl_ast_graft_list_free(list1);
+ isl_ast_graft_list_free(list2);
+ return NULL;
+}
+
+__isl_give isl_printer *isl_printer_print_ast_graft(__isl_take isl_printer *p,
+ __isl_keep isl_ast_graft *graft)
+{
+ if (!p)
+ return NULL;
+ if (!graft)
+ return isl_printer_free(p);
+
+ p = isl_printer_print_str(p, "(");
+ p = isl_printer_print_str(p, "guard: ");
+ p = isl_printer_print_set(p, graft->guard);
+ p = isl_printer_print_str(p, ", ");
+ p = isl_printer_print_str(p, "enforced: ");
+ p = isl_printer_print_basic_set(p, graft->enforced);
+ p = isl_printer_print_str(p, ", ");
+ p = isl_printer_print_str(p, "node: ");
+ p = isl_printer_print_ast_node(p, graft->node);
+ p = isl_printer_print_str(p, ")");
+
+ return p;
+}
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