brintos

brintos / llvm-project-archived public Read only

0
0
Text · 153.2 KiB · 9d140e5 Raw
4965 lines · c
1/*2 * Copyright 2013-2014 Ecole Normale Superieure3 * Copyright 2014      INRIA Rocquencourt4 * Copyright 2016      Sven Verdoolaege5 *6 * Use of this software is governed by the MIT license7 *8 * Written by Sven Verdoolaege,9 * Ecole Normale Superieure, 45 rue d'Ulm, 75230 Paris, France10 * and Inria Paris - Rocquencourt, Domaine de Voluceau - Rocquencourt,11 * B.P. 105 - 78153 Le Chesnay, France12 */13 14#include <isl/id.h>15#include <isl/val.h>16#include <isl/space.h>17#include <isl/set.h>18#include <isl_schedule_band.h>19#include <isl_schedule_private.h>20#include <isl_schedule_node_private.h>21 22/* Create a new schedule node in the given schedule, point at the given23 * tree with given ancestors and child positions.24 * "child_pos" may be NULL if there are no ancestors.25 */26__isl_give isl_schedule_node *isl_schedule_node_alloc(27	__isl_take isl_schedule *schedule, __isl_take isl_schedule_tree *tree,28	__isl_take isl_schedule_tree_list *ancestors, int *child_pos)29{30	isl_ctx *ctx;31	isl_schedule_node *node;32	int i;33	isl_size n;34 35	n = isl_schedule_tree_list_n_schedule_tree(ancestors);36	if (!schedule || !tree || n < 0)37		goto error;38	if (n > 0 && !child_pos)39		goto error;40	ctx = isl_schedule_get_ctx(schedule);41	node = isl_calloc_type(ctx, isl_schedule_node);42	if (!node)43		goto error;44	node->ref = 1;45	node->schedule = schedule;46	node->tree = tree;47	node->ancestors = ancestors;48	node->child_pos = isl_alloc_array(ctx, int, n);49	if (n && !node->child_pos)50		return isl_schedule_node_free(node);51	for (i = 0; i < n; ++i)52		node->child_pos[i] = child_pos[i];53 54	return node;55error:56	isl_schedule_free(schedule);57	isl_schedule_tree_free(tree);58	isl_schedule_tree_list_free(ancestors);59	return NULL;60}61 62/* Return a pointer to the root of a schedule tree with as single63 * node a domain node with the given domain.64 */65__isl_give isl_schedule_node *isl_schedule_node_from_domain(66	__isl_take isl_union_set *domain)67{68	isl_schedule *schedule;69	isl_schedule_node *node;70 71	schedule = isl_schedule_from_domain(domain);72	node = isl_schedule_get_root(schedule);73	isl_schedule_free(schedule);74 75	return node;76}77 78/* Return a pointer to the root of a schedule tree with as single79 * node a extension node with the given extension.80 */81__isl_give isl_schedule_node *isl_schedule_node_from_extension(82	__isl_take isl_union_map *extension)83{84	isl_ctx *ctx;85	isl_schedule *schedule;86	isl_schedule_tree *tree;87	isl_schedule_node *node;88 89	if (!extension)90		return NULL;91 92	ctx = isl_union_map_get_ctx(extension);93	tree = isl_schedule_tree_from_extension(extension);94	schedule = isl_schedule_from_schedule_tree(ctx, tree);95	node = isl_schedule_get_root(schedule);96	isl_schedule_free(schedule);97 98	return node;99}100 101/* Return the isl_ctx to which "node" belongs.102 */103isl_ctx *isl_schedule_node_get_ctx(__isl_keep isl_schedule_node *node)104{105	return node ? isl_schedule_get_ctx(node->schedule) : NULL;106}107 108/* Return a pointer to the leaf of the schedule into which "node" points.109 */110__isl_keep isl_schedule_tree *isl_schedule_node_peek_leaf(111	__isl_keep isl_schedule_node *node)112{113	return node ? isl_schedule_peek_leaf(node->schedule) : NULL;114}115 116/* Return a copy of the leaf of the schedule into which "node" points.117 */118__isl_give isl_schedule_tree *isl_schedule_node_get_leaf(119	__isl_keep isl_schedule_node *node)120{121	return isl_schedule_tree_copy(isl_schedule_node_peek_leaf(node));122}123 124/* Return the type of the node or isl_schedule_node_error on error.125 */126enum isl_schedule_node_type isl_schedule_node_get_type(127	__isl_keep isl_schedule_node *node)128{129	return node ? isl_schedule_tree_get_type(node->tree)130		    : isl_schedule_node_error;131}132 133/* Return the type of the parent of "node" or isl_schedule_node_error on error.134 */135enum isl_schedule_node_type isl_schedule_node_get_parent_type(136	__isl_keep isl_schedule_node *node)137{138	isl_size n;139	int pos;140	int has_parent;141	isl_schedule_tree *parent;142	enum isl_schedule_node_type type;143 144	if (!node)145		return isl_schedule_node_error;146	has_parent = isl_schedule_node_has_parent(node);147	if (has_parent < 0)148		return isl_schedule_node_error;149	if (!has_parent)150		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,151			"node has no parent", return isl_schedule_node_error);152	n = isl_schedule_tree_list_n_schedule_tree(node->ancestors);153	if (n < 0)154		return isl_schedule_node_error;155 156	pos = n - 1;157	parent = isl_schedule_tree_list_get_schedule_tree(node->ancestors, pos);158	type = isl_schedule_tree_get_type(parent);159	isl_schedule_tree_free(parent);160 161	return type;162}163 164/* Return a copy of the subtree that this node points to.165 */166__isl_give isl_schedule_tree *isl_schedule_node_get_tree(167	__isl_keep isl_schedule_node *node)168{169	if (!node)170		return NULL;171 172	return isl_schedule_tree_copy(node->tree);173}174 175/* Return a copy of the schedule into which "node" points.176 */177__isl_give isl_schedule *isl_schedule_node_get_schedule(178	__isl_keep isl_schedule_node *node)179{180	if (!node)181		return NULL;182	return isl_schedule_copy(node->schedule);183}184 185/* Return a fresh copy of "node".186 */187__isl_give isl_schedule_node *isl_schedule_node_dup(188	__isl_keep isl_schedule_node *node)189{190	if (!node)191		return NULL;192 193	return isl_schedule_node_alloc(isl_schedule_copy(node->schedule),194				isl_schedule_tree_copy(node->tree),195				isl_schedule_tree_list_copy(node->ancestors),196				node->child_pos);197}198 199/* Return an isl_schedule_node that is equal to "node" and that has only200 * a single reference.201 */202__isl_give isl_schedule_node *isl_schedule_node_cow(203	__isl_take isl_schedule_node *node)204{205	if (!node)206		return NULL;207 208	if (node->ref == 1)209		return node;210	node->ref--;211	return isl_schedule_node_dup(node);212}213 214/* Return a new reference to "node".215 */216__isl_give isl_schedule_node *isl_schedule_node_copy(217	__isl_keep isl_schedule_node *node)218{219	if (!node)220		return NULL;221 222	node->ref++;223	return node;224}225 226/* Free "node" and return NULL.227 */228__isl_null isl_schedule_node *isl_schedule_node_free(229	__isl_take isl_schedule_node *node)230{231	if (!node)232		return NULL;233	if (--node->ref > 0)234		return NULL;235 236	isl_schedule_tree_list_free(node->ancestors);237	free(node->child_pos);238	isl_schedule_tree_free(node->tree);239	isl_schedule_free(node->schedule);240	free(node);241 242	return NULL;243}244 245/* Do "node1" and "node2" point to the same position in the same246 * schedule?247 */248isl_bool isl_schedule_node_is_equal(__isl_keep isl_schedule_node *node1,249	__isl_keep isl_schedule_node *node2)250{251	int i;252	isl_size n1, n2;253 254	if (!node1 || !node2)255		return isl_bool_error;256	if (node1 == node2)257		return isl_bool_true;258	if (node1->schedule != node2->schedule)259		return isl_bool_false;260 261	n1 = isl_schedule_node_get_tree_depth(node1);262	n2 = isl_schedule_node_get_tree_depth(node2);263	if (n1 < 0 || n2 < 0)264		return isl_bool_error;265	if (n1 != n2)266		return isl_bool_false;267	for (i = 0; i < n1; ++i)268		if (node1->child_pos[i] != node2->child_pos[i])269			return isl_bool_false;270 271	return isl_bool_true;272}273 274/* Return the number of outer schedule dimensions of "node"275 * in its schedule tree.276 *277 * Return isl_size_error on error.278 */279isl_size isl_schedule_node_get_schedule_depth(280	__isl_keep isl_schedule_node *node)281{282	int i;283	isl_size n;284	int depth = 0;285 286	if (!node)287		return isl_size_error;288 289	n = isl_schedule_tree_list_n_schedule_tree(node->ancestors);290	if (n < 0)291		return isl_size_error;292	for (i = n - 1; i >= 0; --i) {293		isl_schedule_tree *tree;294		isl_size n;295 296		tree = isl_schedule_tree_list_get_schedule_tree(297						    node->ancestors, i);298		if (!tree)299			return isl_size_error;300		n = 0;301		if (tree->type == isl_schedule_node_band)302			n = isl_schedule_tree_band_n_member(tree);303		depth += n;304		isl_schedule_tree_free(tree);305		if (n < 0)306			return isl_size_error;307	}308 309	return depth;310}311 312/* Internal data structure for313 * isl_schedule_node_get_prefix_schedule_union_pw_multi_aff314 *315 * "initialized" is set if the filter field has been initialized.316 * If "universe_domain" is not set, then the collected filter is intersected317 * with the domain of the root domain node.318 * "universe_filter" is set if we are only collecting the universes of filters319 * "collect_prefix" is set if we are collecting prefixes.320 * "filter" collects all outer filters and is NULL until "initialized" is set.321 * "prefix" collects all outer band partial schedules (if "collect_prefix"322 * is set).  If it is used, then it is initialized by the caller323 * of collect_filter_prefix to a zero-dimensional function.324 */325struct isl_schedule_node_get_filter_prefix_data {326	int initialized;327	int universe_domain;328	int universe_filter;329	int collect_prefix;330	isl_union_set *filter;331	isl_multi_union_pw_aff *prefix;332};333 334static isl_stat collect_filter_prefix(__isl_keep isl_schedule_tree_list *list,335	int n, struct isl_schedule_node_get_filter_prefix_data *data);336 337/* Update the filter and prefix information in "data" based on the first "n"338 * elements in "list" and the expansion tree root "tree".339 *340 * We first collect the information from the elements in "list",341 * initializing the filter based on the domain of the expansion.342 * Then we map the results to the expanded space and combined them343 * with the results already in "data".344 */345static isl_stat collect_filter_prefix_expansion(346	__isl_take isl_schedule_tree *tree,347	__isl_keep isl_schedule_tree_list *list, int n,348	struct isl_schedule_node_get_filter_prefix_data *data)349{350	struct isl_schedule_node_get_filter_prefix_data contracted;351	isl_union_pw_multi_aff *c;352	isl_union_map *exp, *universe;353	isl_union_set *filter;354 355	c = isl_schedule_tree_expansion_get_contraction(tree);356	exp = isl_schedule_tree_expansion_get_expansion(tree);357 358	contracted.initialized = 1;359	contracted.universe_domain = data->universe_domain;360	contracted.universe_filter = data->universe_filter;361	contracted.collect_prefix = data->collect_prefix;362	universe = isl_union_map_universe(isl_union_map_copy(exp));363	filter = isl_union_map_domain(universe);364	if (data->collect_prefix) {365		isl_space *space = isl_union_set_get_space(filter);366		space = isl_space_set_from_params(space);367		contracted.prefix = isl_multi_union_pw_aff_zero(space);368	}369	contracted.filter = filter;370 371	if (collect_filter_prefix(list, n, &contracted) < 0)372		contracted.filter = isl_union_set_free(contracted.filter);373	if (data->collect_prefix) {374		isl_multi_union_pw_aff *prefix;375 376		prefix = contracted.prefix;377		prefix =378		    isl_multi_union_pw_aff_pullback_union_pw_multi_aff(prefix,379						isl_union_pw_multi_aff_copy(c));380		data->prefix = isl_multi_union_pw_aff_flat_range_product(381						prefix, data->prefix);382	}383	filter = contracted.filter;384	if (data->universe_domain)385		filter = isl_union_set_preimage_union_pw_multi_aff(filter,386						isl_union_pw_multi_aff_copy(c));387	else388		filter = isl_union_set_apply(filter, isl_union_map_copy(exp));389	if (!data->initialized)390		data->filter = filter;391	else392		data->filter = isl_union_set_intersect(filter, data->filter);393	data->initialized = 1;394 395	isl_union_pw_multi_aff_free(c);396	isl_union_map_free(exp);397	isl_schedule_tree_free(tree);398 399	return isl_stat_ok;400}401 402/* Update the filter information in "data" based on the first "n"403 * elements in "list" and the extension tree root "tree", in case404 * data->universe_domain is set and data->collect_prefix is not.405 *406 * We collect the universe domain of the elements in "list" and407 * add it to the universe range of the extension (intersected408 * with the already collected filter, if any).409 */410static isl_stat collect_universe_domain_extension(411	__isl_take isl_schedule_tree *tree,412	__isl_keep isl_schedule_tree_list *list, int n,413	struct isl_schedule_node_get_filter_prefix_data *data)414{415	struct isl_schedule_node_get_filter_prefix_data data_outer;416	isl_union_map *extension;417	isl_union_set *filter;418 419	data_outer.initialized = 0;420	data_outer.universe_domain = 1;421	data_outer.universe_filter = data->universe_filter;422	data_outer.collect_prefix = 0;423	data_outer.filter = NULL;424	data_outer.prefix = NULL;425 426	if (collect_filter_prefix(list, n, &data_outer) < 0)427		data_outer.filter = isl_union_set_free(data_outer.filter);428 429	extension = isl_schedule_tree_extension_get_extension(tree);430	extension = isl_union_map_universe(extension);431	filter = isl_union_map_range(extension);432	if (data_outer.initialized)433		filter = isl_union_set_union(filter, data_outer.filter);434	if (data->initialized)435		filter = isl_union_set_intersect(filter, data->filter);436 437	data->filter = filter;438 439	isl_schedule_tree_free(tree);440 441	return isl_stat_ok;442}443 444/* Update "data" based on the tree node "tree" in case "data" has445 * not been initialized yet.446 *447 * Return 0 on success and -1 on error.448 *449 * If "tree" is a filter, then we set data->filter to this filter450 * (or its universe).451 * If "tree" is a domain, then this means we have reached the root452 * of the schedule tree without being able to extract any information.453 * We therefore initialize data->filter to the universe of the domain,454 * or the domain itself if data->universe_domain is not set.455 * If "tree" is a band with at least one member, then we set data->filter456 * to the universe of the schedule domain and replace the zero-dimensional457 * data->prefix by the band schedule (if data->collect_prefix is set).458 */459static isl_stat collect_filter_prefix_init(__isl_keep isl_schedule_tree *tree,460	struct isl_schedule_node_get_filter_prefix_data *data)461{462	enum isl_schedule_node_type type;463	isl_multi_union_pw_aff *mupa;464	isl_union_set *filter;465	isl_size n;466 467	type = isl_schedule_tree_get_type(tree);468	switch (type) {469	case isl_schedule_node_error:470		return isl_stat_error;471	case isl_schedule_node_expansion:472		isl_die(isl_schedule_tree_get_ctx(tree), isl_error_internal,473			"should be handled by caller", return isl_stat_error);474	case isl_schedule_node_extension:475		isl_die(isl_schedule_tree_get_ctx(tree), isl_error_invalid,476			"cannot handle extension nodes", return isl_stat_error);477	case isl_schedule_node_context:478	case isl_schedule_node_leaf:479	case isl_schedule_node_guard:480	case isl_schedule_node_mark:481	case isl_schedule_node_sequence:482	case isl_schedule_node_set:483		return isl_stat_ok;484	case isl_schedule_node_domain:485		filter = isl_schedule_tree_domain_get_domain(tree);486		if (data->universe_domain)487			filter = isl_union_set_universe(filter);488		data->filter = filter;489		break;490	case isl_schedule_node_band:491		n = isl_schedule_tree_band_n_member(tree);492		if (n < 0)493			return isl_stat_error;494		if (n == 0)495			return isl_stat_ok;496		mupa = isl_schedule_tree_band_get_partial_schedule(tree);497		if (data->collect_prefix) {498			isl_multi_union_pw_aff_free(data->prefix);499			mupa = isl_multi_union_pw_aff_reset_tuple_id(mupa,500								isl_dim_set);501			data->prefix = isl_multi_union_pw_aff_copy(mupa);502		}503		filter = isl_multi_union_pw_aff_domain(mupa);504		filter = isl_union_set_universe(filter);505		data->filter = filter;506		break;507	case isl_schedule_node_filter:508		filter = isl_schedule_tree_filter_get_filter(tree);509		if (data->universe_filter)510			filter = isl_union_set_universe(filter);511		data->filter = filter;512		break;513	}514 515	if ((data->collect_prefix && !data->prefix) || !data->filter)516		return isl_stat_error;517 518	data->initialized = 1;519 520	return isl_stat_ok;521}522 523/* Update "data" based on the tree node "tree" in case "data" has524 * already been initialized.525 *526 * Return 0 on success and -1 on error.527 *528 * If "tree" is a domain and data->universe_domain is not set, then529 * intersect data->filter with the domain.530 * If "tree" is a filter, then we intersect data->filter with this filter531 * (or its universe).532 * If "tree" is a band with at least one member and data->collect_prefix533 * is set, then we extend data->prefix with the band schedule.534 * If "tree" is an extension, then we make sure that we are not collecting535 * information on any extended domain elements.536 */537static isl_stat collect_filter_prefix_update(__isl_keep isl_schedule_tree *tree,538	struct isl_schedule_node_get_filter_prefix_data *data)539{540	enum isl_schedule_node_type type;541	isl_multi_union_pw_aff *mupa;542	isl_union_set *filter;543	isl_union_map *extension;544	isl_bool empty;545	isl_size n;546 547	type = isl_schedule_tree_get_type(tree);548	switch (type) {549	case isl_schedule_node_error:550		return isl_stat_error;551	case isl_schedule_node_expansion:552		isl_die(isl_schedule_tree_get_ctx(tree), isl_error_internal,553			"should be handled by caller", return isl_stat_error);554	case isl_schedule_node_extension:555		extension = isl_schedule_tree_extension_get_extension(tree);556		extension = isl_union_map_intersect_range(extension,557					isl_union_set_copy(data->filter));558		empty = isl_union_map_is_empty(extension);559		isl_union_map_free(extension);560		if (empty < 0)561			return isl_stat_error;562		if (empty)563			break;564		isl_die(isl_schedule_tree_get_ctx(tree), isl_error_invalid,565			"cannot handle extension nodes", return isl_stat_error);566	case isl_schedule_node_context:567	case isl_schedule_node_leaf:568	case isl_schedule_node_guard:569	case isl_schedule_node_mark:570	case isl_schedule_node_sequence:571	case isl_schedule_node_set:572		break;573	case isl_schedule_node_domain:574		if (data->universe_domain)575			break;576		filter = isl_schedule_tree_domain_get_domain(tree);577		data->filter = isl_union_set_intersect(data->filter, filter);578		break;579	case isl_schedule_node_band:580		n = isl_schedule_tree_band_n_member(tree);581		if (n < 0)582			return isl_stat_error;583		if (n == 0)584			break;585		if (!data->collect_prefix)586			break;587		mupa = isl_schedule_tree_band_get_partial_schedule(tree);588		data->prefix = isl_multi_union_pw_aff_flat_range_product(mupa,589								data->prefix);590		if (!data->prefix)591			return isl_stat_error;592		break;593	case isl_schedule_node_filter:594		filter = isl_schedule_tree_filter_get_filter(tree);595		if (data->universe_filter)596			filter = isl_union_set_universe(filter);597		data->filter = isl_union_set_intersect(data->filter, filter);598		if (!data->filter)599			return isl_stat_error;600		break;601	}602 603	return isl_stat_ok;604}605 606/* Collect filter and/or prefix information from the first "n"607 * elements in "list" (which represent the ancestors of a node).608 * Store the results in "data".609 *610 * Extension nodes are only supported if they do not affect the outcome,611 * i.e., if we are collecting information on non-extended domain elements,612 * or if we are collecting the universe domain (without prefix).613 *614 * Return 0 on success and -1 on error.615 *616 * We traverse the list from innermost ancestor (last element)617 * to outermost ancestor (first element), calling collect_filter_prefix_init618 * on each node as long as we have not been able to extract any information619 * yet and collect_filter_prefix_update afterwards.620 * If we come across an expansion node, then we interrupt the traversal621 * and call collect_filter_prefix_expansion to restart the traversal622 * over the remaining ancestors and to combine the results with those623 * that have already been collected.624 * If we come across an extension node and we are only computing625 * the universe domain, then we interrupt the traversal and call626 * collect_universe_domain_extension to restart the traversal627 * over the remaining ancestors and to combine the results with those628 * that have already been collected.629 * On successful return, data->initialized will be set since the outermost630 * ancestor is a domain node, which always results in an initialization.631 */632static isl_stat collect_filter_prefix(__isl_keep isl_schedule_tree_list *list,633	int n, struct isl_schedule_node_get_filter_prefix_data *data)634{635	int i;636 637	if (!list)638		return isl_stat_error;639 640	for (i = n - 1; i >= 0; --i) {641		isl_schedule_tree *tree;642		enum isl_schedule_node_type type;643		isl_stat r;644 645		tree = isl_schedule_tree_list_get_schedule_tree(list, i);646		if (!tree)647			return isl_stat_error;648		type = isl_schedule_tree_get_type(tree);649		if (type == isl_schedule_node_expansion)650			return collect_filter_prefix_expansion(tree, list, i,651								data);652		if (type == isl_schedule_node_extension &&653		    data->universe_domain && !data->collect_prefix)654			return collect_universe_domain_extension(tree, list, i,655								data);656		if (!data->initialized)657			r = collect_filter_prefix_init(tree, data);658		else659			r = collect_filter_prefix_update(tree, data);660		isl_schedule_tree_free(tree);661		if (r < 0)662			return isl_stat_error;663	}664 665	return isl_stat_ok;666}667 668/* Return the concatenation of the partial schedules of all outer band669 * nodes of "node" interesected with all outer filters670 * as an isl_multi_union_pw_aff.671 * None of the ancestors of "node" may be an extension node, unless672 * there is also a filter ancestor that filters out all the extended673 * domain elements.674 *675 * If "node" is pointing at the root of the schedule tree, then676 * there are no domain elements reaching the current node, so677 * we return an empty result.678 *679 * We collect all the filters and partial schedules in collect_filter_prefix680 * and intersect the domain of the combined schedule with the combined filter.681 */682__isl_give isl_multi_union_pw_aff *683isl_schedule_node_get_prefix_schedule_multi_union_pw_aff(684	__isl_keep isl_schedule_node *node)685{686	isl_size n;687	isl_space *space;688	struct isl_schedule_node_get_filter_prefix_data data;689 690	if (!node)691		return NULL;692 693	space = isl_schedule_get_space(node->schedule);694	space = isl_space_set_from_params(space);695	if (node->tree == node->schedule->root)696		return isl_multi_union_pw_aff_zero(space);697 698	data.initialized = 0;699	data.universe_domain = 1;700	data.universe_filter = 0;701	data.collect_prefix = 1;702	data.filter = NULL;703	data.prefix = isl_multi_union_pw_aff_zero(space);704 705	n = isl_schedule_tree_list_n_schedule_tree(node->ancestors);706	if (n < 0 || collect_filter_prefix(node->ancestors, n, &data) < 0)707		data.prefix = isl_multi_union_pw_aff_free(data.prefix);708 709	data.prefix = isl_multi_union_pw_aff_intersect_domain(data.prefix,710								data.filter);711 712	return data.prefix;713}714 715/* Return the concatenation of the partial schedules of all outer band716 * nodes of "node" interesected with all outer filters717 * as an isl_union_pw_multi_aff.718 * None of the ancestors of "node" may be an extension node, unless719 * there is also a filter ancestor that filters out all the extended720 * domain elements.721 *722 * If "node" is pointing at the root of the schedule tree, then723 * there are no domain elements reaching the current node, so724 * we return an empty result.725 *726 * We collect all the filters and partial schedules in collect_filter_prefix.727 * The partial schedules are collected as an isl_multi_union_pw_aff.728 * If this isl_multi_union_pw_aff is zero-dimensional, then it does not729 * contain any domain information, so we construct the isl_union_pw_multi_aff730 * result as a zero-dimensional function on the collected filter.731 * Otherwise, we convert the isl_multi_union_pw_aff to732 * an isl_multi_union_pw_aff and intersect the domain with the filter.733 */734__isl_give isl_union_pw_multi_aff *735isl_schedule_node_get_prefix_schedule_union_pw_multi_aff(736	__isl_keep isl_schedule_node *node)737{738	isl_size n, dim;739	isl_space *space;740	isl_union_pw_multi_aff *prefix;741	struct isl_schedule_node_get_filter_prefix_data data;742 743	if (!node)744		return NULL;745 746	space = isl_schedule_get_space(node->schedule);747	if (node->tree == node->schedule->root)748		return isl_union_pw_multi_aff_empty(space);749 750	space = isl_space_set_from_params(space);751	data.initialized = 0;752	data.universe_domain = 1;753	data.universe_filter = 0;754	data.collect_prefix = 1;755	data.filter = NULL;756	data.prefix = isl_multi_union_pw_aff_zero(space);757 758	n = isl_schedule_tree_list_n_schedule_tree(node->ancestors);759	if (n < 0 || collect_filter_prefix(node->ancestors, n, &data) < 0)760		data.prefix = isl_multi_union_pw_aff_free(data.prefix);761 762	dim = isl_multi_union_pw_aff_dim(data.prefix, isl_dim_set);763	if (dim < 0)764		data.prefix = isl_multi_union_pw_aff_free(data.prefix);765	if (data.prefix && dim == 0) {766		isl_multi_union_pw_aff_free(data.prefix);767		prefix = isl_union_pw_multi_aff_from_domain(data.filter);768	} else {769		prefix =770		    isl_union_pw_multi_aff_from_multi_union_pw_aff(data.prefix);771		prefix = isl_union_pw_multi_aff_intersect_domain(prefix,772								data.filter);773	}774 775	return prefix;776}777 778/* Return the concatenation of the partial schedules of all outer band779 * nodes of "node" interesected with all outer filters780 * as an isl_union_map.781 */782__isl_give isl_union_map *isl_schedule_node_get_prefix_schedule_union_map(783	__isl_keep isl_schedule_node *node)784{785	isl_union_pw_multi_aff *upma;786 787	upma = isl_schedule_node_get_prefix_schedule_union_pw_multi_aff(node);788	return isl_union_map_from_union_pw_multi_aff(upma);789}790 791/* Return the concatenation of the partial schedules of all outer band792 * nodes of "node" intersected with all outer domain constraints.793 * None of the ancestors of "node" may be an extension node, unless794 * there is also a filter ancestor that filters out all the extended795 * domain elements.796 *797 * Essentially, this function intersects the domain of the output798 * of isl_schedule_node_get_prefix_schedule_union_map with the output799 * of isl_schedule_node_get_domain, except that it only traverses800 * the ancestors of "node" once.801 */802__isl_give isl_union_map *isl_schedule_node_get_prefix_schedule_relation(803	__isl_keep isl_schedule_node *node)804{805	isl_size n, dim;806	isl_space *space;807	isl_union_map *prefix;808	struct isl_schedule_node_get_filter_prefix_data data;809 810	if (!node)811		return NULL;812 813	space = isl_schedule_get_space(node->schedule);814	if (node->tree == node->schedule->root)815		return isl_union_map_empty(space);816 817	space = isl_space_set_from_params(space);818	data.initialized = 0;819	data.universe_domain = 0;820	data.universe_filter = 0;821	data.collect_prefix = 1;822	data.filter = NULL;823	data.prefix = isl_multi_union_pw_aff_zero(space);824 825	n = isl_schedule_tree_list_n_schedule_tree(node->ancestors);826	if (n < 0 || collect_filter_prefix(node->ancestors, n, &data) < 0)827		data.prefix = isl_multi_union_pw_aff_free(data.prefix);828 829	dim = isl_multi_union_pw_aff_dim(data.prefix, isl_dim_set);830	if (dim < 0)831		data.prefix = isl_multi_union_pw_aff_free(data.prefix);832	if (data.prefix && dim == 0) {833		isl_multi_union_pw_aff_free(data.prefix);834		prefix = isl_union_map_from_domain(data.filter);835	} else {836		prefix = isl_union_map_from_multi_union_pw_aff(data.prefix);837		prefix = isl_union_map_intersect_domain(prefix, data.filter);838	}839 840	return prefix;841}842 843/* Return the domain elements that reach "node".844 *845 * If "node" is pointing at the root of the schedule tree, then846 * there are no domain elements reaching the current node, so847 * we return an empty result.848 * None of the ancestors of "node" may be an extension node, unless849 * there is also a filter ancestor that filters out all the extended850 * domain elements.851 *852 * Otherwise, we collect all filters reaching the node,853 * intersected with the root domain in collect_filter_prefix.854 */855__isl_give isl_union_set *isl_schedule_node_get_domain(856	__isl_keep isl_schedule_node *node)857{858	isl_size n;859	struct isl_schedule_node_get_filter_prefix_data data;860 861	if (!node)862		return NULL;863 864	if (node->tree == node->schedule->root) {865		isl_space *space;866 867		space = isl_schedule_get_space(node->schedule);868		return isl_union_set_empty(space);869	}870 871	data.initialized = 0;872	data.universe_domain = 0;873	data.universe_filter = 0;874	data.collect_prefix = 0;875	data.filter = NULL;876	data.prefix = NULL;877 878	n = isl_schedule_tree_list_n_schedule_tree(node->ancestors);879	if (n < 0 || collect_filter_prefix(node->ancestors, n, &data) < 0)880		data.filter = isl_union_set_free(data.filter);881 882	return data.filter;883}884 885/* Return the union of universe sets of the domain elements that reach "node".886 *887 * If "node" is pointing at the root of the schedule tree, then888 * there are no domain elements reaching the current node, so889 * we return an empty result.890 *891 * Otherwise, we collect the universes of all filters reaching the node892 * in collect_filter_prefix.893 */894__isl_give isl_union_set *isl_schedule_node_get_universe_domain(895	__isl_keep isl_schedule_node *node)896{897	isl_size n;898	struct isl_schedule_node_get_filter_prefix_data data;899 900	if (!node)901		return NULL;902 903	if (node->tree == node->schedule->root) {904		isl_space *space;905 906		space = isl_schedule_get_space(node->schedule);907		return isl_union_set_empty(space);908	}909 910	data.initialized = 0;911	data.universe_domain = 1;912	data.universe_filter = 1;913	data.collect_prefix = 0;914	data.filter = NULL;915	data.prefix = NULL;916 917	n = isl_schedule_tree_list_n_schedule_tree(node->ancestors);918	if (n < 0 || collect_filter_prefix(node->ancestors, n, &data) < 0)919		data.filter = isl_union_set_free(data.filter);920 921	return data.filter;922}923 924/* Return the subtree schedule of "node".925 *926 * Since isl_schedule_tree_get_subtree_schedule_union_map does not handle927 * trees that do not contain any schedule information, we first928 * move down to the first relevant descendant and handle leaves ourselves.929 *930 * If the subtree rooted at "node" contains any expansion nodes, then931 * the returned subtree schedule is formulated in terms of the expanded932 * domains.933 * The subtree is not allowed to contain any extension nodes.934 */935__isl_give isl_union_map *isl_schedule_node_get_subtree_schedule_union_map(936	__isl_keep isl_schedule_node *node)937{938	isl_schedule_tree *tree, *leaf;939	isl_union_map *umap;940 941	tree = isl_schedule_node_get_tree(node);942	leaf = isl_schedule_node_peek_leaf(node);943	tree = isl_schedule_tree_first_schedule_descendant(tree, leaf);944	if (!tree)945		return NULL;946	if (tree == leaf) {947		isl_union_set *domain;948		domain = isl_schedule_node_get_universe_domain(node);949		isl_schedule_tree_free(tree);950		return isl_union_map_from_domain(domain);951	}952 953	umap = isl_schedule_tree_get_subtree_schedule_union_map(tree);954	isl_schedule_tree_free(tree);955	return umap;956}957 958/* Return the number of ancestors of "node" in its schedule tree.959 */960isl_size isl_schedule_node_get_tree_depth(__isl_keep isl_schedule_node *node)961{962	if (!node)963		return isl_size_error;964	return isl_schedule_tree_list_n_schedule_tree(node->ancestors);965}966 967/* Does "node" have a parent?968 *969 * That is, does it point to any node of the schedule other than the root?970 */971isl_bool isl_schedule_node_has_parent(__isl_keep isl_schedule_node *node)972{973	isl_size depth;974 975	depth = isl_schedule_node_get_tree_depth(node);976	if (depth < 0)977		return isl_bool_error;978	return isl_bool_ok(depth != 0);979}980 981/* Return the position of "node" among the children of its parent.982 */983isl_size isl_schedule_node_get_child_position(984	__isl_keep isl_schedule_node *node)985{986	isl_size n;987	isl_bool has_parent;988 989	if (!node)990		return isl_size_error;991	has_parent = isl_schedule_node_has_parent(node);992	if (has_parent < 0)993		return isl_size_error;994	if (!has_parent)995		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,996			"node has no parent", return isl_size_error);997 998	n = isl_schedule_tree_list_n_schedule_tree(node->ancestors);999	return n < 0 ? isl_size_error : node->child_pos[n - 1];1000}1001 1002/* Does the parent (if any) of "node" have any children with a smaller child1003 * position than this one?1004 */1005isl_bool isl_schedule_node_has_previous_sibling(1006	__isl_keep isl_schedule_node *node)1007{1008	isl_size n;1009	isl_bool has_parent;1010 1011	if (!node)1012		return isl_bool_error;1013	has_parent = isl_schedule_node_has_parent(node);1014	if (has_parent < 0 || !has_parent)1015		return has_parent;1016 1017	n = isl_schedule_tree_list_n_schedule_tree(node->ancestors);1018	if (n < 0)1019		return isl_bool_error;1020 1021	return isl_bool_ok(node->child_pos[n - 1] > 0);1022}1023 1024/* Does the parent (if any) of "node" have any children with a greater child1025 * position than this one?1026 */1027isl_bool isl_schedule_node_has_next_sibling(__isl_keep isl_schedule_node *node)1028{1029	isl_size n, n_child;1030	isl_bool has_parent;1031	isl_schedule_tree *tree;1032 1033	if (!node)1034		return isl_bool_error;1035	has_parent = isl_schedule_node_has_parent(node);1036	if (has_parent < 0 || !has_parent)1037		return has_parent;1038 1039	n = isl_schedule_tree_list_n_schedule_tree(node->ancestors);1040	if (n < 0)1041		return isl_bool_error;1042	tree = isl_schedule_tree_list_get_schedule_tree(node->ancestors, n - 1);1043	n_child = isl_schedule_tree_n_children(tree);1044	isl_schedule_tree_free(tree);1045	if (n_child < 0)1046		return isl_bool_error;1047 1048	return isl_bool_ok(node->child_pos[n - 1] + 1 < n_child);1049}1050 1051/* Does "node" have any children?1052 *1053 * Any node other than the leaf nodes is considered to have at least1054 * one child, even if the corresponding isl_schedule_tree does not1055 * have any children.1056 */1057isl_bool isl_schedule_node_has_children(__isl_keep isl_schedule_node *node)1058{1059	if (!node)1060		return isl_bool_error;1061	return isl_bool_ok(!isl_schedule_tree_is_leaf(node->tree));1062}1063 1064/* Return the number of children of "node"?1065 *1066 * Any node other than the leaf nodes is considered to have at least1067 * one child, even if the corresponding isl_schedule_tree does not1068 * have any children.  That is, the number of children of "node" is1069 * only zero if its tree is the explicit empty tree.  Otherwise,1070 * if the isl_schedule_tree has any children, then it is equal1071 * to the number of children of "node".  If it has zero children,1072 * then "node" still has a leaf node as child.1073 */1074isl_size isl_schedule_node_n_children(__isl_keep isl_schedule_node *node)1075{1076	isl_size n;1077 1078	if (!node)1079		return isl_size_error;1080 1081	if (isl_schedule_tree_is_leaf(node->tree))1082		return 0;1083 1084	n = isl_schedule_tree_n_children(node->tree);1085	if (n < 0)1086		return isl_size_error;1087	if (n == 0)1088		return 1;1089 1090	return n;1091}1092 1093/* Move the "node" pointer to the ancestor of the given generation1094 * of the node it currently points to, where generation 0 is the node1095 * itself and generation 1 is its parent.1096 */1097__isl_give isl_schedule_node *isl_schedule_node_ancestor(1098	__isl_take isl_schedule_node *node, int generation)1099{1100	isl_size n;1101	isl_schedule_tree *tree;1102 1103	if (!node)1104		return NULL;1105	if (generation == 0)1106		return node;1107	n = isl_schedule_node_get_tree_depth(node);1108	if (n < 0)1109		return isl_schedule_node_free(node);1110	if (generation < 0 || generation > n)1111		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,1112			"generation out of bounds",1113			return isl_schedule_node_free(node));1114	node = isl_schedule_node_cow(node);1115	if (!node)1116		return NULL;1117 1118	tree = isl_schedule_tree_list_get_schedule_tree(node->ancestors,1119							n - generation);1120	isl_schedule_tree_free(node->tree);1121	node->tree = tree;1122	node->ancestors = isl_schedule_tree_list_drop(node->ancestors,1123						    n - generation, generation);1124	if (!node->ancestors || !node->tree)1125		return isl_schedule_node_free(node);1126 1127	return node;1128}1129 1130/* Move the "node" pointer to the parent of the node it currently points to.1131 */1132__isl_give isl_schedule_node *isl_schedule_node_parent(1133	__isl_take isl_schedule_node *node)1134{1135	if (!node)1136		return NULL;1137	if (!isl_schedule_node_has_parent(node))1138		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,1139			"node has no parent",1140			return isl_schedule_node_free(node));1141	return isl_schedule_node_ancestor(node, 1);1142}1143 1144/* Move the "node" pointer to the parent of its parent.1145 */1146__isl_give isl_schedule_node *isl_schedule_node_grandparent(1147	__isl_take isl_schedule_node *node)1148{1149	return isl_schedule_node_ancestor(node, 2);1150}1151 1152/* Move the "node" pointer to the root of its schedule tree.1153 */1154__isl_give isl_schedule_node *isl_schedule_node_root(1155	__isl_take isl_schedule_node *node)1156{1157	isl_size n;1158 1159	if (!node)1160		return NULL;1161	n = isl_schedule_node_get_tree_depth(node);1162	if (n < 0)1163		return isl_schedule_node_free(node);1164	return isl_schedule_node_ancestor(node, n);1165}1166 1167/* Move the "node" pointer to the child at position "pos" of the node1168 * it currently points to.1169 */1170__isl_give isl_schedule_node *isl_schedule_node_child(1171	__isl_take isl_schedule_node *node, int pos)1172{1173	isl_size n;1174	isl_ctx *ctx;1175	isl_schedule_tree *tree;1176	int *child_pos;1177 1178	node = isl_schedule_node_cow(node);1179	if (!node)1180		return NULL;1181	if (!isl_schedule_node_has_children(node))1182		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,1183			"node has no children",1184			return isl_schedule_node_free(node));1185 1186	ctx = isl_schedule_node_get_ctx(node);1187	n = isl_schedule_tree_list_n_schedule_tree(node->ancestors);1188	if (n < 0)1189		return isl_schedule_node_free(node);1190	child_pos = isl_realloc_array(ctx, node->child_pos, int, n + 1);1191	if (!child_pos)1192		return isl_schedule_node_free(node);1193	node->child_pos = child_pos;1194	node->child_pos[n] = pos;1195 1196	node->ancestors = isl_schedule_tree_list_add(node->ancestors,1197				isl_schedule_tree_copy(node->tree));1198	tree = node->tree;1199	if (isl_schedule_tree_has_children(tree))1200		tree = isl_schedule_tree_get_child(tree, pos);1201	else1202		tree = isl_schedule_node_get_leaf(node);1203	isl_schedule_tree_free(node->tree);1204	node->tree = tree;1205 1206	if (!node->tree || !node->ancestors)1207		return isl_schedule_node_free(node);1208 1209	return node;1210}1211 1212/* Move the "node" pointer to the child at position "pos2" of the child1213 * at position "pos1".1214 */1215__isl_give isl_schedule_node *isl_schedule_node_grandchild(1216	__isl_take isl_schedule_node *node, int pos1, int pos2)1217{1218	node = isl_schedule_node_child(node, pos1);1219	node = isl_schedule_node_child(node, pos2);1220	return node;1221}1222 1223/* Move the "node" pointer to the first child of the node1224 * it currently points to.1225 */1226__isl_give isl_schedule_node *isl_schedule_node_first_child(1227	__isl_take isl_schedule_node *node)1228{1229	return isl_schedule_node_child(node, 0);1230}1231 1232/* Move the "node" pointer to the child of this node's parent in1233 * the previous child position.1234 */1235__isl_give isl_schedule_node *isl_schedule_node_previous_sibling(1236	__isl_take isl_schedule_node *node)1237{1238	isl_size n;1239	isl_schedule_tree *parent, *tree;1240 1241	node = isl_schedule_node_cow(node);1242	if (!node)1243		return NULL;1244	if (!isl_schedule_node_has_previous_sibling(node))1245		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,1246			"node has no previous sibling",1247			return isl_schedule_node_free(node));1248 1249	n = isl_schedule_tree_list_n_schedule_tree(node->ancestors);1250	if (n < 0)1251		return isl_schedule_node_free(node);1252	parent = isl_schedule_tree_list_get_schedule_tree(node->ancestors,1253									n - 1);1254	if (!parent)1255		return isl_schedule_node_free(node);1256	node->child_pos[n - 1]--;1257	tree = isl_schedule_tree_list_get_schedule_tree(parent->children,1258							node->child_pos[n - 1]);1259	isl_schedule_tree_free(parent);1260	if (!tree)1261		return isl_schedule_node_free(node);1262	isl_schedule_tree_free(node->tree);1263	node->tree = tree;1264 1265	return node;1266}1267 1268/* Move the "node" pointer to the child of this node's parent in1269 * the next child position.1270 */1271__isl_give isl_schedule_node *isl_schedule_node_next_sibling(1272	__isl_take isl_schedule_node *node)1273{1274	isl_size n;1275	isl_schedule_tree *parent, *tree;1276 1277	node = isl_schedule_node_cow(node);1278	if (!node)1279		return NULL;1280	if (!isl_schedule_node_has_next_sibling(node))1281		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,1282			"node has no next sibling",1283			return isl_schedule_node_free(node));1284 1285	n = isl_schedule_tree_list_n_schedule_tree(node->ancestors);1286	if (n < 0)1287		return isl_schedule_node_free(node);1288	parent = isl_schedule_tree_list_get_schedule_tree(node->ancestors,1289									n - 1);1290	if (!parent)1291		return isl_schedule_node_free(node);1292	node->child_pos[n - 1]++;1293	tree = isl_schedule_tree_list_get_schedule_tree(parent->children,1294							node->child_pos[n - 1]);1295	isl_schedule_tree_free(parent);1296	if (!tree)1297		return isl_schedule_node_free(node);1298	isl_schedule_tree_free(node->tree);1299	node->tree = tree;1300 1301	return node;1302}1303 1304/* Return a copy to the child at position "pos" of "node".1305 */1306__isl_give isl_schedule_node *isl_schedule_node_get_child(1307	__isl_keep isl_schedule_node *node, int pos)1308{1309	return isl_schedule_node_child(isl_schedule_node_copy(node), pos);1310}1311 1312/* Traverse the descendant of "node" in depth-first order, including1313 * "node" itself.  Call "enter" whenever a node is entered and "leave"1314 * whenever a node is left.  The callback "enter" is responsible1315 * for moving to the deepest initial subtree of its argument that1316 * should be traversed.1317 */1318static __isl_give isl_schedule_node *traverse(1319	__isl_take isl_schedule_node *node,1320	__isl_give isl_schedule_node *(*enter)(1321		__isl_take isl_schedule_node *node, void *user),1322	__isl_give isl_schedule_node *(*leave)(1323		__isl_take isl_schedule_node *node, void *user),1324	void *user)1325{1326	isl_size depth;1327	isl_size node_depth;1328 1329	depth = isl_schedule_node_get_tree_depth(node);1330	if (depth < 0)1331		return isl_schedule_node_free(node);1332 1333	do {1334		node = enter(node, user);1335		node = leave(node, user);1336		while ((node_depth = isl_schedule_node_get_tree_depth(node)) >1337				depth &&1338				!isl_schedule_node_has_next_sibling(node)) {1339			node = isl_schedule_node_parent(node);1340			node = leave(node, user);1341		}1342		if (node_depth < 0)1343			return isl_schedule_node_free(node);1344		if (node_depth > depth)1345			node = isl_schedule_node_next_sibling(node);1346	} while (node_depth > depth);1347 1348	return node;1349}1350 1351/* Internal data structure for isl_schedule_node_foreach_descendant_top_down.1352 *1353 * "fn" is the user-specified callback function.1354 * "user" is the user-specified argument for the callback.1355 */1356struct isl_schedule_node_preorder_data {1357	isl_bool (*fn)(__isl_keep isl_schedule_node *node, void *user);1358	void *user;1359};1360 1361/* Callback for "traverse" to enter a node and to move1362 * to the deepest initial subtree that should be traversed1363 * for use in a preorder visit.1364 *1365 * If the user callback returns a negative value, then we abort1366 * the traversal.  If this callback returns zero, then we skip1367 * the subtree rooted at the current node.  Otherwise, we move1368 * down to the first child and repeat the process until a leaf1369 * is reached.1370 */1371static __isl_give isl_schedule_node *preorder_enter(1372	__isl_take isl_schedule_node *node, void *user)1373{1374	struct isl_schedule_node_preorder_data *data = user;1375 1376	if (!node)1377		return NULL;1378 1379	do {1380		isl_bool r;1381 1382		r = data->fn(node, data->user);1383		if (r < 0)1384			return isl_schedule_node_free(node);1385		if (r == isl_bool_false)1386			return node;1387	} while (isl_schedule_node_has_children(node) &&1388		(node = isl_schedule_node_first_child(node)) != NULL);1389 1390	return node;1391}1392 1393/* Callback for "traverse" to leave a node1394 * for use in a preorder visit.1395 * Since we already visited the node when we entered it,1396 * we do not need to do anything here.1397 */1398static __isl_give isl_schedule_node *preorder_leave(1399	__isl_take isl_schedule_node *node, void *user)1400{1401	return node;1402}1403 1404/* Traverse the descendants of "node" (including the node itself)1405 * in depth first preorder.1406 *1407 * If "fn" returns isl_bool_error on any of the nodes,1408 * then the traversal is aborted.1409 * If "fn" returns isl_bool_false on any of the nodes, then the subtree rooted1410 * at that node is skipped.1411 *1412 * Return isl_stat_ok on success and isl_stat_error on failure.1413 */1414isl_stat isl_schedule_node_foreach_descendant_top_down(1415	__isl_keep isl_schedule_node *node,1416	isl_bool (*fn)(__isl_keep isl_schedule_node *node, void *user),1417	void *user)1418{1419	struct isl_schedule_node_preorder_data data = { fn, user };1420 1421	node = isl_schedule_node_copy(node);1422	node = traverse(node, &preorder_enter, &preorder_leave, &data);1423	isl_schedule_node_free(node);1424 1425	return node ? isl_stat_ok : isl_stat_error;1426}1427 1428/* Internal data structure for isl_schedule_node_every_descendant.1429 *1430 * "test" is the user-specified callback function.1431 * "user" is the user-specified callback function argument.1432 *1433 * "failed" is initialized to 0 and set to 1 if "test" fails1434 * on any node.1435 */1436struct isl_union_map_every_data {1437	isl_bool (*test)(__isl_keep isl_schedule_node *node, void *user);1438	void *user;1439	int failed;1440};1441 1442/* isl_schedule_node_foreach_descendant_top_down callback1443 * that sets data->failed if data->test returns false and1444 * subsequently aborts the traversal.1445 */1446static isl_bool call_every(__isl_keep isl_schedule_node *node, void *user)1447{1448	struct isl_union_map_every_data *data = user;1449	isl_bool r;1450 1451	r = data->test(node, data->user);1452	if (r < 0)1453		return isl_bool_error;1454	if (r)1455		return isl_bool_true;1456	data->failed = 1;1457	return isl_bool_error;1458}1459 1460/* Does "test" succeed on every descendant of "node" (including "node" itself)?1461 */1462isl_bool isl_schedule_node_every_descendant(__isl_keep isl_schedule_node *node,1463	isl_bool (*test)(__isl_keep isl_schedule_node *node, void *user),1464	void *user)1465{1466	struct isl_union_map_every_data data = { test, user, 0 };1467	isl_stat r;1468 1469	r = isl_schedule_node_foreach_descendant_top_down(node, &call_every,1470							&data);1471	if (r >= 0)1472		return isl_bool_true;1473	if (data.failed)1474		return isl_bool_false;1475	return isl_bool_error;1476}1477 1478/* Internal data structure for isl_schedule_node_map_descendant_bottom_up.1479 *1480 * "fn" is the user-specified callback function.1481 * "user" is the user-specified argument for the callback.1482 */1483struct isl_schedule_node_postorder_data {1484	__isl_give isl_schedule_node *(*fn)(__isl_take isl_schedule_node *node,1485		void *user);1486	void *user;1487};1488 1489/* Callback for "traverse" to enter a node and to move1490 * to the deepest initial subtree that should be traversed1491 * for use in a postorder visit.1492 *1493 * Since we are performing a postorder visit, we only need1494 * to move to the deepest initial leaf here.1495 */1496static __isl_give isl_schedule_node *postorder_enter(1497	__isl_take isl_schedule_node *node, void *user)1498{1499	while (node && isl_schedule_node_has_children(node))1500		node = isl_schedule_node_first_child(node);1501 1502	return node;1503}1504 1505/* Callback for "traverse" to leave a node1506 * for use in a postorder visit.1507 *1508 * Since we are performing a postorder visit, we need1509 * to call the user callback here.1510 */1511static __isl_give isl_schedule_node *postorder_leave(1512	__isl_take isl_schedule_node *node, void *user)1513{1514	struct isl_schedule_node_postorder_data *data = user;1515 1516	return data->fn(node, data->user);1517}1518 1519/* Traverse the descendants of "node" (including the node itself)1520 * in depth first postorder, allowing the user to modify the visited node.1521 * The traversal continues from the node returned by the callback function.1522 * It is the responsibility of the user to ensure that this does not1523 * lead to an infinite loop.  It is safest to always return a pointer1524 * to the same position (same ancestors and child positions) as the input node.1525 */1526__isl_give isl_schedule_node *isl_schedule_node_map_descendant_bottom_up(1527	__isl_take isl_schedule_node *node,1528	__isl_give isl_schedule_node *(*fn)(__isl_take isl_schedule_node *node,1529		void *user), void *user)1530{1531	struct isl_schedule_node_postorder_data data = { fn, user };1532 1533	return traverse(node, &postorder_enter, &postorder_leave, &data);1534}1535 1536/* Traverse the ancestors of "node" from the root down to and including1537 * the parent of "node", calling "fn" on each of them.1538 *1539 * If "fn" returns -1 on any of the nodes, then the traversal is aborted.1540 *1541 * Return 0 on success and -1 on failure.1542 */1543isl_stat isl_schedule_node_foreach_ancestor_top_down(1544	__isl_keep isl_schedule_node *node,1545	isl_stat (*fn)(__isl_keep isl_schedule_node *node, void *user),1546	void *user)1547{1548	int i;1549	isl_size n;1550 1551	n = isl_schedule_node_get_tree_depth(node);1552	if (n < 0)1553		return isl_stat_error;1554 1555	for (i = 0; i < n; ++i) {1556		isl_schedule_node *ancestor;1557		isl_stat r;1558 1559		ancestor = isl_schedule_node_copy(node);1560		ancestor = isl_schedule_node_ancestor(ancestor, n - i);1561		r = fn(ancestor, user);1562		isl_schedule_node_free(ancestor);1563		if (r < 0)1564			return isl_stat_error;1565	}1566 1567	return isl_stat_ok;1568}1569 1570/* Is any node in the subtree rooted at "node" anchored?1571 * That is, do any of these nodes reference the outer band nodes?1572 */1573isl_bool isl_schedule_node_is_subtree_anchored(1574	__isl_keep isl_schedule_node *node)1575{1576	if (!node)1577		return isl_bool_error;1578	return isl_schedule_tree_is_subtree_anchored(node->tree);1579}1580 1581/* Return the number of members in the given band node.1582 */1583isl_size isl_schedule_node_band_n_member(__isl_keep isl_schedule_node *node)1584{1585	if (!node)1586		return isl_size_error;1587	return isl_schedule_tree_band_n_member(node->tree);1588}1589 1590/* Is the band member at position "pos" of the band node "node"1591 * marked coincident?1592 */1593isl_bool isl_schedule_node_band_member_get_coincident(1594	__isl_keep isl_schedule_node *node, int pos)1595{1596	if (!node)1597		return isl_bool_error;1598	return isl_schedule_tree_band_member_get_coincident(node->tree, pos);1599}1600 1601/* Mark the band member at position "pos" the band node "node"1602 * as being coincident or not according to "coincident".1603 */1604__isl_give isl_schedule_node *isl_schedule_node_band_member_set_coincident(1605	__isl_take isl_schedule_node *node, int pos, int coincident)1606{1607	int c;1608	isl_schedule_tree *tree;1609 1610	if (!node)1611		return NULL;1612	c = isl_schedule_node_band_member_get_coincident(node, pos);1613	if (c == coincident)1614		return node;1615 1616	tree = isl_schedule_tree_copy(node->tree);1617	tree = isl_schedule_tree_band_member_set_coincident(tree, pos,1618							    coincident);1619	node = isl_schedule_node_graft_tree(node, tree);1620 1621	return node;1622}1623 1624/* Is the band node "node" marked permutable?1625 */1626isl_bool isl_schedule_node_band_get_permutable(1627	__isl_keep isl_schedule_node *node)1628{1629	if (!node)1630		return isl_bool_error;1631 1632	return isl_schedule_tree_band_get_permutable(node->tree);1633}1634 1635/* Mark the band node "node" permutable or not according to "permutable"?1636 */1637__isl_give isl_schedule_node *isl_schedule_node_band_set_permutable(1638	__isl_take isl_schedule_node *node, int permutable)1639{1640	isl_schedule_tree *tree;1641 1642	if (!node)1643		return NULL;1644	if (isl_schedule_node_band_get_permutable(node) == permutable)1645		return node;1646 1647	tree = isl_schedule_tree_copy(node->tree);1648	tree = isl_schedule_tree_band_set_permutable(tree, permutable);1649	node = isl_schedule_node_graft_tree(node, tree);1650 1651	return node;1652}1653 1654/* Return the schedule space of the band node.1655 */1656__isl_give isl_space *isl_schedule_node_band_get_space(1657	__isl_keep isl_schedule_node *node)1658{1659	if (!node)1660		return NULL;1661 1662	return isl_schedule_tree_band_get_space(node->tree);1663}1664 1665/* Return the schedule of the band node in isolation.1666 */1667__isl_give isl_multi_union_pw_aff *isl_schedule_node_band_get_partial_schedule(1668	__isl_keep isl_schedule_node *node)1669{1670	if (!node)1671		return NULL;1672 1673	return isl_schedule_tree_band_get_partial_schedule(node->tree);1674}1675 1676/* Return the schedule of the band node in isolation in the form of1677 * an isl_union_map.1678 *1679 * If the band does not have any members, then we construct a universe map1680 * with the universe of the domain elements reaching the node as domain.1681 * Otherwise, we extract an isl_multi_union_pw_aff representation and1682 * convert that to an isl_union_map.1683 */1684__isl_give isl_union_map *isl_schedule_node_band_get_partial_schedule_union_map(1685	__isl_keep isl_schedule_node *node)1686{1687	isl_size n;1688	isl_multi_union_pw_aff *mupa;1689 1690	if (!node)1691		return NULL;1692 1693	if (isl_schedule_node_get_type(node) != isl_schedule_node_band)1694		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,1695			"not a band node", return NULL);1696	n = isl_schedule_node_band_n_member(node);1697	if (n < 0)1698		return NULL;1699	if (n == 0) {1700		isl_union_set *domain;1701 1702		domain = isl_schedule_node_get_universe_domain(node);1703		return isl_union_map_from_domain(domain);1704	}1705 1706	mupa = isl_schedule_node_band_get_partial_schedule(node);1707	return isl_union_map_from_multi_union_pw_aff(mupa);1708}1709 1710/* Return the loop AST generation type for the band member of band node "node"1711 * at position "pos".1712 */1713enum isl_ast_loop_type isl_schedule_node_band_member_get_ast_loop_type(1714	__isl_keep isl_schedule_node *node, int pos)1715{1716	if (!node)1717		return isl_ast_loop_error;1718 1719	return isl_schedule_tree_band_member_get_ast_loop_type(node->tree, pos);1720}1721 1722/* Set the loop AST generation type for the band member of band node "node"1723 * at position "pos" to "type".1724 */1725__isl_give isl_schedule_node *isl_schedule_node_band_member_set_ast_loop_type(1726	__isl_take isl_schedule_node *node, int pos,1727	enum isl_ast_loop_type type)1728{1729	isl_schedule_tree *tree;1730 1731	if (!node)1732		return NULL;1733 1734	tree = isl_schedule_tree_copy(node->tree);1735	tree = isl_schedule_tree_band_member_set_ast_loop_type(tree, pos, type);1736	return isl_schedule_node_graft_tree(node, tree);1737}1738 1739/* Return the loop AST generation type for the band member of band node "node"1740 * at position "pos" for the isolated part.1741 */1742enum isl_ast_loop_type isl_schedule_node_band_member_get_isolate_ast_loop_type(1743	__isl_keep isl_schedule_node *node, int pos)1744{1745	if (!node)1746		return isl_ast_loop_error;1747 1748	return isl_schedule_tree_band_member_get_isolate_ast_loop_type(1749							    node->tree, pos);1750}1751 1752/* Set the loop AST generation type for the band member of band node "node"1753 * at position "pos" for the isolated part to "type".1754 */1755__isl_give isl_schedule_node *1756isl_schedule_node_band_member_set_isolate_ast_loop_type(1757	__isl_take isl_schedule_node *node, int pos,1758	enum isl_ast_loop_type type)1759{1760	isl_schedule_tree *tree;1761 1762	if (!node)1763		return NULL;1764 1765	tree = isl_schedule_tree_copy(node->tree);1766	tree = isl_schedule_tree_band_member_set_isolate_ast_loop_type(tree,1767								    pos, type);1768	return isl_schedule_node_graft_tree(node, tree);1769}1770 1771/* Return the AST build options associated to band node "node".1772 */1773__isl_give isl_union_set *isl_schedule_node_band_get_ast_build_options(1774	__isl_keep isl_schedule_node *node)1775{1776	if (!node)1777		return NULL;1778 1779	return isl_schedule_tree_band_get_ast_build_options(node->tree);1780}1781 1782/* Replace the AST build options associated to band node "node" by "options".1783 */1784__isl_give isl_schedule_node *isl_schedule_node_band_set_ast_build_options(1785	__isl_take isl_schedule_node *node, __isl_take isl_union_set *options)1786{1787	isl_schedule_tree *tree;1788 1789	if (!node || !options)1790		goto error;1791 1792	tree = isl_schedule_tree_copy(node->tree);1793	tree = isl_schedule_tree_band_set_ast_build_options(tree, options);1794	return isl_schedule_node_graft_tree(node, tree);1795error:1796	isl_schedule_node_free(node);1797	isl_union_set_free(options);1798	return NULL;1799}1800 1801/* Return the "isolate" option associated to band node "node".1802 */1803__isl_give isl_set *isl_schedule_node_band_get_ast_isolate_option(1804	__isl_keep isl_schedule_node *node)1805{1806	isl_size depth;1807 1808	depth = isl_schedule_node_get_schedule_depth(node);1809	if (depth < 0)1810		return NULL;1811 1812	return isl_schedule_tree_band_get_ast_isolate_option(node->tree, depth);1813}1814 1815/* Make sure that that spaces of "node" and "mv" are the same.1816 * Return -1 on error, reporting the error to the user.1817 */1818static int check_space_multi_val(__isl_keep isl_schedule_node *node,1819	__isl_keep isl_multi_val *mv)1820{1821	isl_space *node_space, *mv_space;1822	int equal;1823 1824	node_space = isl_schedule_node_band_get_space(node);1825	mv_space = isl_multi_val_get_space(mv);1826	equal = isl_space_tuple_is_equal(node_space, isl_dim_set,1827					mv_space, isl_dim_set);1828	isl_space_free(mv_space);1829	isl_space_free(node_space);1830	if (equal < 0)1831		return -1;1832	if (!equal)1833		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,1834			"spaces don't match", return -1);1835 1836	return 0;1837}1838 1839/* Multiply the partial schedule of the band node "node"1840 * with the factors in "mv".1841 */1842__isl_give isl_schedule_node *isl_schedule_node_band_scale(1843	__isl_take isl_schedule_node *node, __isl_take isl_multi_val *mv)1844{1845	isl_schedule_tree *tree;1846	int anchored;1847 1848	if (!node || !mv)1849		goto error;1850	if (check_space_multi_val(node, mv) < 0)1851		goto error;1852	anchored = isl_schedule_node_is_subtree_anchored(node);1853	if (anchored < 0)1854		goto error;1855	if (anchored)1856		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,1857			"cannot scale band node with anchored subtree",1858			goto error);1859 1860	tree = isl_schedule_node_get_tree(node);1861	tree = isl_schedule_tree_band_scale(tree, mv);1862	return isl_schedule_node_graft_tree(node, tree);1863error:1864	isl_multi_val_free(mv);1865	isl_schedule_node_free(node);1866	return NULL;1867}1868 1869/* Divide the partial schedule of the band node "node"1870 * by the factors in "mv".1871 */1872__isl_give isl_schedule_node *isl_schedule_node_band_scale_down(1873	__isl_take isl_schedule_node *node, __isl_take isl_multi_val *mv)1874{1875	isl_schedule_tree *tree;1876	int anchored;1877 1878	if (!node || !mv)1879		goto error;1880	if (check_space_multi_val(node, mv) < 0)1881		goto error;1882	anchored = isl_schedule_node_is_subtree_anchored(node);1883	if (anchored < 0)1884		goto error;1885	if (anchored)1886		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,1887			"cannot scale down band node with anchored subtree",1888			goto error);1889 1890	tree = isl_schedule_node_get_tree(node);1891	tree = isl_schedule_tree_band_scale_down(tree, mv);1892	return isl_schedule_node_graft_tree(node, tree);1893error:1894	isl_multi_val_free(mv);1895	isl_schedule_node_free(node);1896	return NULL;1897}1898 1899/* Reduce the partial schedule of the band node "node"1900 * modulo the factors in "mv".1901 */1902__isl_give isl_schedule_node *isl_schedule_node_band_mod(1903	__isl_take isl_schedule_node *node, __isl_take isl_multi_val *mv)1904{1905	isl_schedule_tree *tree;1906	isl_bool anchored;1907 1908	if (!node || !mv)1909		goto error;1910	if (check_space_multi_val(node, mv) < 0)1911		goto error;1912	anchored = isl_schedule_node_is_subtree_anchored(node);1913	if (anchored < 0)1914		goto error;1915	if (anchored)1916		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,1917			"cannot perform mod on band node with anchored subtree",1918			goto error);1919 1920	tree = isl_schedule_node_get_tree(node);1921	tree = isl_schedule_tree_band_mod(tree, mv);1922	return isl_schedule_node_graft_tree(node, tree);1923error:1924	isl_multi_val_free(mv);1925	isl_schedule_node_free(node);1926	return NULL;1927}1928 1929/* Make sure that that spaces of "node" and "mupa" are the same.1930 * Return isl_stat_error on error, reporting the error to the user.1931 */1932static isl_stat check_space_multi_union_pw_aff(1933	__isl_keep isl_schedule_node *node,1934	__isl_keep isl_multi_union_pw_aff *mupa)1935{1936	isl_space *node_space, *mupa_space;1937	isl_bool equal;1938 1939	node_space = isl_schedule_node_band_get_space(node);1940	mupa_space = isl_multi_union_pw_aff_get_space(mupa);1941	equal = isl_space_tuple_is_equal(node_space, isl_dim_set,1942					mupa_space, isl_dim_set);1943	isl_space_free(mupa_space);1944	isl_space_free(node_space);1945	if (equal < 0)1946		return isl_stat_error;1947	if (!equal)1948		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,1949			"spaces don't match", return isl_stat_error);1950 1951	return isl_stat_ok;1952}1953 1954/* Shift the partial schedule of the band node "node" by "shift".1955 */1956__isl_give isl_schedule_node *isl_schedule_node_band_shift(1957	__isl_take isl_schedule_node *node,1958	__isl_take isl_multi_union_pw_aff *shift)1959{1960	isl_schedule_tree *tree;1961	int anchored;1962 1963	if (!node || !shift)1964		goto error;1965	if (check_space_multi_union_pw_aff(node, shift) < 0)1966		goto error;1967	anchored = isl_schedule_node_is_subtree_anchored(node);1968	if (anchored < 0)1969		goto error;1970	if (anchored)1971		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,1972			"cannot shift band node with anchored subtree",1973			goto error);1974 1975	tree = isl_schedule_node_get_tree(node);1976	tree = isl_schedule_tree_band_shift(tree, shift);1977	return isl_schedule_node_graft_tree(node, tree);1978error:1979	isl_multi_union_pw_aff_free(shift);1980	isl_schedule_node_free(node);1981	return NULL;1982}1983 1984/* Tile "node" with tile sizes "sizes".1985 *1986 * The current node is replaced by two nested nodes corresponding1987 * to the tile dimensions and the point dimensions.1988 *1989 * Return a pointer to the outer (tile) node.1990 *1991 * If any of the descendants of "node" depend on the set of outer band nodes,1992 * then we refuse to tile the node.1993 *1994 * If the scale tile loops option is set, then the tile loops1995 * are scaled by the tile sizes.  If the shift point loops option is set,1996 * then the point loops are shifted to start at zero.1997 * In particular, these options affect the tile and point loop schedules1998 * as follows1999 *2000 *	scale	shift	original	tile		point2001 *2002 *	0	0	i		floor(i/s)	i2003 *	1	0	i		s * floor(i/s)	i2004 *	0	1	i		floor(i/s)	i - s * floor(i/s)2005 *	1	1	i		s * floor(i/s)	i - s * floor(i/s)2006 */2007__isl_give isl_schedule_node *isl_schedule_node_band_tile(2008	__isl_take isl_schedule_node *node, __isl_take isl_multi_val *sizes)2009{2010	isl_schedule_tree *tree;2011	int anchored;2012 2013	if (!node || !sizes)2014		goto error;2015	anchored = isl_schedule_node_is_subtree_anchored(node);2016	if (anchored < 0)2017		goto error;2018	if (anchored)2019		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,2020			"cannot tile band node with anchored subtree",2021			goto error);2022 2023	if (check_space_multi_val(node, sizes) < 0)2024		goto error;2025 2026	tree = isl_schedule_node_get_tree(node);2027	tree = isl_schedule_tree_band_tile(tree, sizes);2028	return isl_schedule_node_graft_tree(node, tree);2029error:2030	isl_multi_val_free(sizes);2031	isl_schedule_node_free(node);2032	return NULL;2033}2034 2035/* Move the band node "node" down to all the leaves in the subtree2036 * rooted at "node".2037 * Return a pointer to the node in the resulting tree that is in the same2038 * position as the node pointed to by "node" in the original tree.2039 *2040 * If the node only has a leaf child, then nothing needs to be done.2041 * Otherwise, the child of the node is removed and the result is2042 * appended to all the leaves in the subtree rooted at the original child.2043 * Since the node is moved to the leaves, it needs to be expanded2044 * according to the expansion, if any, defined by that subtree.2045 * In the end, the original node is replaced by the result of2046 * attaching copies of the expanded node to the leaves.2047 *2048 * If any of the nodes in the subtree rooted at "node" depend on2049 * the set of outer band nodes then we refuse to sink the band node.2050 */2051__isl_give isl_schedule_node *isl_schedule_node_band_sink(2052	__isl_take isl_schedule_node *node)2053{2054	enum isl_schedule_node_type type;2055	isl_schedule_tree *tree, *child;2056	isl_union_pw_multi_aff *contraction;2057	isl_bool anchored;2058	isl_size n;2059 2060	if (!node)2061		return NULL;2062 2063	type = isl_schedule_node_get_type(node);2064	if (type != isl_schedule_node_band)2065		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,2066			"not a band node", return isl_schedule_node_free(node));2067	anchored = isl_schedule_node_is_subtree_anchored(node);2068	if (anchored < 0)2069		return isl_schedule_node_free(node);2070	if (anchored)2071		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,2072			"cannot sink band node in anchored subtree",2073			return isl_schedule_node_free(node));2074	n = isl_schedule_tree_n_children(node->tree);2075	if (n < 0)2076		return isl_schedule_node_free(node);2077	if (n == 0)2078		return node;2079 2080	contraction = isl_schedule_node_get_subtree_contraction(node);2081 2082	tree = isl_schedule_node_get_tree(node);2083	child = isl_schedule_tree_get_child(tree, 0);2084	tree = isl_schedule_tree_reset_children(tree);2085	tree = isl_schedule_tree_pullback_union_pw_multi_aff(tree, contraction);2086	tree = isl_schedule_tree_append_to_leaves(child, tree);2087 2088	return isl_schedule_node_graft_tree(node, tree);2089}2090 2091/* Split "node" into two nested band nodes, one with the first "pos"2092 * dimensions and one with the remaining dimensions.2093 * The schedules of the two band nodes live in anonymous spaces.2094 * The loop AST generation type options and the isolate option2095 * are split over the two band nodes.2096 */2097__isl_give isl_schedule_node *isl_schedule_node_band_split(2098	__isl_take isl_schedule_node *node, int pos)2099{2100	isl_size depth;2101	isl_schedule_tree *tree;2102 2103	depth = isl_schedule_node_get_schedule_depth(node);2104	if (depth < 0)2105		return isl_schedule_node_free(node);2106	tree = isl_schedule_node_get_tree(node);2107	tree = isl_schedule_tree_band_split(tree, pos, depth);2108	return isl_schedule_node_graft_tree(node, tree);2109}2110 2111/* Return the context of the context node "node".2112 */2113__isl_give isl_set *isl_schedule_node_context_get_context(2114	__isl_keep isl_schedule_node *node)2115{2116	if (!node)2117		return NULL;2118 2119	return isl_schedule_tree_context_get_context(node->tree);2120}2121 2122/* Return the domain of the domain node "node".2123 */2124__isl_give isl_union_set *isl_schedule_node_domain_get_domain(2125	__isl_keep isl_schedule_node *node)2126{2127	if (!node)2128		return NULL;2129 2130	return isl_schedule_tree_domain_get_domain(node->tree);2131}2132 2133/* Return the expansion map of expansion node "node".2134 */2135__isl_give isl_union_map *isl_schedule_node_expansion_get_expansion(2136	__isl_keep isl_schedule_node *node)2137{2138	if (!node)2139		return NULL;2140 2141	return isl_schedule_tree_expansion_get_expansion(node->tree);2142}2143 2144/* Return the contraction of expansion node "node".2145 */2146__isl_give isl_union_pw_multi_aff *isl_schedule_node_expansion_get_contraction(2147	__isl_keep isl_schedule_node *node)2148{2149	if (!node)2150		return NULL;2151 2152	return isl_schedule_tree_expansion_get_contraction(node->tree);2153}2154 2155/* Replace the contraction and the expansion of the expansion node "node"2156 * by "contraction" and "expansion".2157 */2158__isl_give isl_schedule_node *2159isl_schedule_node_expansion_set_contraction_and_expansion(2160	__isl_take isl_schedule_node *node,2161	__isl_take isl_union_pw_multi_aff *contraction,2162	__isl_take isl_union_map *expansion)2163{2164	isl_schedule_tree *tree;2165 2166	if (!node || !contraction || !expansion)2167		goto error;2168 2169	tree = isl_schedule_tree_copy(node->tree);2170	tree = isl_schedule_tree_expansion_set_contraction_and_expansion(tree,2171							contraction, expansion);2172	return isl_schedule_node_graft_tree(node, tree);2173error:2174	isl_schedule_node_free(node);2175	isl_union_pw_multi_aff_free(contraction);2176	isl_union_map_free(expansion);2177	return NULL;2178}2179 2180/* Return the extension of the extension node "node".2181 */2182__isl_give isl_union_map *isl_schedule_node_extension_get_extension(2183	__isl_keep isl_schedule_node *node)2184{2185	if (!node)2186		return NULL;2187 2188	return isl_schedule_tree_extension_get_extension(node->tree);2189}2190 2191/* Replace the extension of extension node "node" by "extension".2192 */2193__isl_give isl_schedule_node *isl_schedule_node_extension_set_extension(2194	__isl_take isl_schedule_node *node, __isl_take isl_union_map *extension)2195{2196	isl_schedule_tree *tree;2197 2198	if (!node || !extension)2199		goto error;2200 2201	tree = isl_schedule_tree_copy(node->tree);2202	tree = isl_schedule_tree_extension_set_extension(tree, extension);2203	return isl_schedule_node_graft_tree(node, tree);2204error:2205	isl_schedule_node_free(node);2206	isl_union_map_free(extension);2207	return NULL;2208}2209 2210/* Return the filter of the filter node "node".2211 */2212__isl_give isl_union_set *isl_schedule_node_filter_get_filter(2213	__isl_keep isl_schedule_node *node)2214{2215	if (!node)2216		return NULL;2217 2218	return isl_schedule_tree_filter_get_filter(node->tree);2219}2220 2221/* Replace the filter of filter node "node" by "filter".2222 */2223__isl_give isl_schedule_node *isl_schedule_node_filter_set_filter(2224	__isl_take isl_schedule_node *node, __isl_take isl_union_set *filter)2225{2226	isl_schedule_tree *tree;2227 2228	if (!node || !filter)2229		goto error;2230 2231	tree = isl_schedule_tree_copy(node->tree);2232	tree = isl_schedule_tree_filter_set_filter(tree, filter);2233	return isl_schedule_node_graft_tree(node, tree);2234error:2235	isl_schedule_node_free(node);2236	isl_union_set_free(filter);2237	return NULL;2238}2239 2240/* Intersect the filter of filter node "node" with "filter".2241 *2242 * If the filter of the node is already a subset of "filter",2243 * then leave the node unchanged.2244 */2245__isl_give isl_schedule_node *isl_schedule_node_filter_intersect_filter(2246	__isl_take isl_schedule_node *node, __isl_take isl_union_set *filter)2247{2248	isl_union_set *node_filter = NULL;2249	isl_bool subset;2250 2251	if (!node || !filter)2252		goto error;2253 2254	node_filter = isl_schedule_node_filter_get_filter(node);2255	subset = isl_union_set_is_subset(node_filter, filter);2256	if (subset < 0)2257		goto error;2258	if (subset) {2259		isl_union_set_free(node_filter);2260		isl_union_set_free(filter);2261		return node;2262	}2263	node_filter = isl_union_set_intersect(node_filter, filter);2264	node = isl_schedule_node_filter_set_filter(node, node_filter);2265	return node;2266error:2267	isl_schedule_node_free(node);2268	isl_union_set_free(node_filter);2269	isl_union_set_free(filter);2270	return NULL;2271}2272 2273/* Return the guard of the guard node "node".2274 */2275__isl_give isl_set *isl_schedule_node_guard_get_guard(2276	__isl_keep isl_schedule_node *node)2277{2278	if (!node)2279		return NULL;2280 2281	return isl_schedule_tree_guard_get_guard(node->tree);2282}2283 2284/* Return the mark identifier of the mark node "node".2285 */2286__isl_give isl_id *isl_schedule_node_mark_get_id(2287	__isl_keep isl_schedule_node *node)2288{2289	if (!node)2290		return NULL;2291 2292	return isl_schedule_tree_mark_get_id(node->tree);2293}2294 2295/* Check that "node" is a sequence node.2296 */2297static isl_stat check_is_sequence(__isl_keep isl_schedule_node *node)2298{2299	if (!node)2300		return isl_stat_error;2301 2302	if (isl_schedule_node_get_type(node) != isl_schedule_node_sequence)2303		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,2304			"not a sequence node", return isl_stat_error);2305 2306	return isl_stat_ok;2307}2308 2309/* Replace the child at position "pos" of the sequence node "node"2310 * by the children of sequence root node of "tree".2311 */2312__isl_give isl_schedule_node *isl_schedule_node_sequence_splice(2313	__isl_take isl_schedule_node *node, int pos,2314	__isl_take isl_schedule_tree *tree)2315{2316	isl_schedule_tree *node_tree;2317 2318	if (check_is_sequence(node) < 0 || !tree)2319		goto error;2320	if (isl_schedule_tree_get_type(tree) != isl_schedule_node_sequence)2321		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,2322			"not a sequence node", goto error);2323	node_tree = isl_schedule_node_get_tree(node);2324	node_tree = isl_schedule_tree_sequence_splice(node_tree, pos, tree);2325	node = isl_schedule_node_graft_tree(node, node_tree);2326 2327	return node;2328error:2329	isl_schedule_node_free(node);2330	isl_schedule_tree_free(tree);2331	return NULL;2332}2333 2334/* Given a sequence node "node", with a child at position "pos" that2335 * is also a sequence node, attach the children of that node directly2336 * as children of "node" at that position, replacing the original child.2337 *2338 * The filters of these children are intersected with the filter2339 * of the child at position "pos".2340 */2341__isl_give isl_schedule_node *isl_schedule_node_sequence_splice_child(2342	__isl_take isl_schedule_node *node, int pos)2343{2344	int i;2345	isl_size n;2346	isl_union_set *filter;2347	isl_schedule_node *child;2348	isl_schedule_tree *tree;2349 2350	if (check_is_sequence(node) < 0)2351		return isl_schedule_node_free(node);2352	node = isl_schedule_node_grandchild(node, pos, 0);2353	if (check_is_sequence(node) < 0)2354		return isl_schedule_node_free(node);2355	n = isl_schedule_node_n_children(node);2356	if (n < 0)2357		return isl_schedule_node_free(node);2358	child = isl_schedule_node_copy(node);2359	node = isl_schedule_node_parent(node);2360	filter = isl_schedule_node_filter_get_filter(node);2361	for (i = 0; i < n; ++i) {2362		child = isl_schedule_node_child(child, i);2363		child = isl_schedule_node_filter_intersect_filter(child,2364						isl_union_set_copy(filter));2365		child = isl_schedule_node_parent(child);2366	}2367	isl_union_set_free(filter);2368	tree = isl_schedule_node_get_tree(child);2369	isl_schedule_node_free(child);2370	node = isl_schedule_node_parent(node);2371	node = isl_schedule_node_sequence_splice(node, pos, tree);2372 2373	return node;2374}2375 2376/* Given a sequence node "node", for each child that is also2377 * (the parent of) a sequence node, attach the children of that node directly2378 * as children of "node" at the position of the child,2379 * replacing this original child.2380 *2381 * Since splicing in a child may change the positions of later children,2382 * iterate through the children from last to first.2383 */2384__isl_give isl_schedule_node *isl_schedule_node_sequence_splice_children(2385	__isl_take isl_schedule_node *node)2386{2387	int i;2388	isl_size n;2389 2390	if (check_is_sequence(node) < 0)2391		return isl_schedule_node_free(node);2392	n = isl_schedule_node_n_children(node);2393	if (n < 0)2394		return isl_schedule_node_free(node);2395 2396	for (i = n - 1; i >= 0; --i) {2397		enum isl_schedule_node_type type;2398		int is_seq;2399 2400		node = isl_schedule_node_grandchild(node, i, 0);2401		type = isl_schedule_node_get_type(node);2402		if (type < 0)2403			return isl_schedule_node_free(node);2404		is_seq = type == isl_schedule_node_sequence;2405		node = isl_schedule_node_grandparent(node);2406 2407		if (!is_seq)2408			continue;2409 2410		node = isl_schedule_node_sequence_splice_child(node, i);2411	}2412 2413	return node;2414}2415 2416/* Update the ancestors of "node" to point to the tree that "node"2417 * now points to.2418 * That is, replace the child in the original parent that corresponds2419 * to the current tree position by node->tree and continue updating2420 * the ancestors in the same way until the root is reached.2421 *2422 * If "fn" is not NULL, then it is called on each ancestor as we move up2423 * the tree so that it can modify the ancestor before it is added2424 * to the list of ancestors of the modified node.2425 * The additional "pos" argument records the position2426 * of the "tree" argument in the original schedule tree.2427 *2428 * If "node" originally points to a leaf of the schedule tree, then make sure2429 * that in the end it points to a leaf in the updated schedule tree.2430 */2431static __isl_give isl_schedule_node *update_ancestors(2432	__isl_take isl_schedule_node *node,2433	__isl_give isl_schedule_tree *(*fn)(__isl_take isl_schedule_tree *tree,2434		__isl_keep isl_schedule_node *pos, void *user), void *user)2435{2436	int i;2437	isl_size n;2438	int is_leaf;2439	isl_schedule_tree *tree;2440	isl_schedule_node *pos = NULL;2441 2442	if (fn)2443		pos = isl_schedule_node_copy(node);2444 2445	node = isl_schedule_node_cow(node);2446	if (!node)2447		return isl_schedule_node_free(pos);2448 2449	n = isl_schedule_tree_list_n_schedule_tree(node->ancestors);2450	if (n < 0)2451		return isl_schedule_node_free(pos);2452	tree = isl_schedule_tree_copy(node->tree);2453 2454	for (i = n - 1; i >= 0; --i) {2455		isl_schedule_tree *parent;2456 2457		parent = isl_schedule_tree_list_get_schedule_tree(2458						    node->ancestors, i);2459		parent = isl_schedule_tree_replace_child(parent,2460						    node->child_pos[i], tree);2461		if (fn) {2462			pos = isl_schedule_node_parent(pos);2463			parent = fn(parent, pos, user);2464		}2465		node->ancestors = isl_schedule_tree_list_set_schedule_tree(2466			    node->ancestors, i, isl_schedule_tree_copy(parent));2467 2468		tree = parent;2469	}2470 2471	if (fn)2472		isl_schedule_node_free(pos);2473 2474	is_leaf = isl_schedule_tree_is_leaf(node->tree);2475	node->schedule = isl_schedule_set_root(node->schedule, tree);2476	if (is_leaf) {2477		isl_schedule_tree_free(node->tree);2478		node->tree = isl_schedule_node_get_leaf(node);2479	}2480 2481	if (!node->schedule || !node->ancestors)2482		return isl_schedule_node_free(node);2483 2484	return node;2485}2486 2487/* Replace the subtree that "pos" points to by "tree", updating2488 * the ancestors to maintain a consistent state.2489 */2490__isl_give isl_schedule_node *isl_schedule_node_graft_tree(2491	__isl_take isl_schedule_node *pos, __isl_take isl_schedule_tree *tree)2492{2493	if (!tree || !pos)2494		goto error;2495	if (pos->tree == tree) {2496		isl_schedule_tree_free(tree);2497		return pos;2498	}2499 2500	pos = isl_schedule_node_cow(pos);2501	if (!pos)2502		goto error;2503 2504	isl_schedule_tree_free(pos->tree);2505	pos->tree = tree;2506 2507	return update_ancestors(pos, NULL, NULL);2508error:2509	isl_schedule_node_free(pos);2510	isl_schedule_tree_free(tree);2511	return NULL;2512}2513 2514/* Make sure we can insert a node between "node" and its parent.2515 * Return -1 on error, reporting the reason why we cannot insert a node.2516 */2517static int check_insert(__isl_keep isl_schedule_node *node)2518{2519	int has_parent;2520	enum isl_schedule_node_type type;2521 2522	has_parent = isl_schedule_node_has_parent(node);2523	if (has_parent < 0)2524		return -1;2525	if (!has_parent)2526		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,2527			"cannot insert node outside of root", return -1);2528 2529	type = isl_schedule_node_get_parent_type(node);2530	if (type == isl_schedule_node_error)2531		return -1;2532	if (type == isl_schedule_node_set || type == isl_schedule_node_sequence)2533		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,2534			"cannot insert node between set or sequence node "2535			"and its filter children", return -1);2536 2537	return 0;2538}2539 2540/* Insert a band node with partial schedule "mupa" between "node" and2541 * its parent.2542 * Return a pointer to the new band node.2543 *2544 * If any of the nodes in the subtree rooted at "node" depend on2545 * the set of outer band nodes then we refuse to insert the band node.2546 */2547__isl_give isl_schedule_node *isl_schedule_node_insert_partial_schedule(2548	__isl_take isl_schedule_node *node,2549	__isl_take isl_multi_union_pw_aff *mupa)2550{2551	int anchored;2552	isl_schedule_band *band;2553	isl_schedule_tree *tree;2554 2555	if (check_insert(node) < 0)2556		node = isl_schedule_node_free(node);2557	anchored = isl_schedule_node_is_subtree_anchored(node);2558	if (anchored < 0)2559		goto error;2560	if (anchored)2561		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,2562			"cannot insert band node in anchored subtree",2563			goto error);2564 2565	tree = isl_schedule_node_get_tree(node);2566	band = isl_schedule_band_from_multi_union_pw_aff(mupa);2567	tree = isl_schedule_tree_insert_band(tree, band);2568	node = isl_schedule_node_graft_tree(node, tree);2569 2570	return node;2571error:2572	isl_schedule_node_free(node);2573	isl_multi_union_pw_aff_free(mupa);2574	return NULL;2575}2576 2577/* Insert a context node with context "context" between "node" and its parent.2578 * Return a pointer to the new context node.2579 */2580__isl_give isl_schedule_node *isl_schedule_node_insert_context(2581	__isl_take isl_schedule_node *node, __isl_take isl_set *context)2582{2583	isl_schedule_tree *tree;2584 2585	if (check_insert(node) < 0)2586		node = isl_schedule_node_free(node);2587 2588	tree = isl_schedule_node_get_tree(node);2589	tree = isl_schedule_tree_insert_context(tree, context);2590	node = isl_schedule_node_graft_tree(node, tree);2591 2592	return node;2593}2594 2595/* Insert an expansion node with the given "contraction" and "expansion"2596 * between "node" and its parent.2597 * Return a pointer to the new expansion node.2598 *2599 * Typically the domain and range spaces of the expansion are different.2600 * This means that only one of them can refer to the current domain space2601 * in a consistent tree.  It is up to the caller to ensure that the tree2602 * returns to a consistent state.2603 */2604__isl_give isl_schedule_node *isl_schedule_node_insert_expansion(2605	__isl_take isl_schedule_node *node,2606	__isl_take isl_union_pw_multi_aff *contraction,2607	__isl_take isl_union_map *expansion)2608{2609	isl_schedule_tree *tree;2610 2611	if (check_insert(node) < 0)2612		node = isl_schedule_node_free(node);2613 2614	tree = isl_schedule_node_get_tree(node);2615	tree = isl_schedule_tree_insert_expansion(tree, contraction, expansion);2616	node = isl_schedule_node_graft_tree(node, tree);2617 2618	return node;2619}2620 2621/* Insert an extension node with extension "extension" between "node" and2622 * its parent.2623 * Return a pointer to the new extension node.2624 */2625__isl_give isl_schedule_node *isl_schedule_node_insert_extension(2626	__isl_take isl_schedule_node *node,2627	__isl_take isl_union_map *extension)2628{2629	isl_schedule_tree *tree;2630 2631	tree = isl_schedule_node_get_tree(node);2632	tree = isl_schedule_tree_insert_extension(tree, extension);2633	node = isl_schedule_node_graft_tree(node, tree);2634 2635	return node;2636}2637 2638/* Insert a filter node with filter "filter" between "node" and its parent.2639 * Return a pointer to the new filter node.2640 */2641__isl_give isl_schedule_node *isl_schedule_node_insert_filter(2642	__isl_take isl_schedule_node *node, __isl_take isl_union_set *filter)2643{2644	isl_schedule_tree *tree;2645 2646	if (check_insert(node) < 0)2647		node = isl_schedule_node_free(node);2648 2649	tree = isl_schedule_node_get_tree(node);2650	tree = isl_schedule_tree_insert_filter(tree, filter);2651	node = isl_schedule_node_graft_tree(node, tree);2652 2653	return node;2654}2655 2656/* Insert a guard node with guard "guard" between "node" and its parent.2657 * Return a pointer to the new guard node.2658 */2659__isl_give isl_schedule_node *isl_schedule_node_insert_guard(2660	__isl_take isl_schedule_node *node, __isl_take isl_set *guard)2661{2662	isl_schedule_tree *tree;2663 2664	if (check_insert(node) < 0)2665		node = isl_schedule_node_free(node);2666 2667	tree = isl_schedule_node_get_tree(node);2668	tree = isl_schedule_tree_insert_guard(tree, guard);2669	node = isl_schedule_node_graft_tree(node, tree);2670 2671	return node;2672}2673 2674/* Insert a mark node with mark identifier "mark" between "node" and2675 * its parent.2676 * Return a pointer to the new mark node.2677 */2678__isl_give isl_schedule_node *isl_schedule_node_insert_mark(2679	__isl_take isl_schedule_node *node, __isl_take isl_id *mark)2680{2681	isl_schedule_tree *tree;2682 2683	if (check_insert(node) < 0)2684		node = isl_schedule_node_free(node);2685 2686	tree = isl_schedule_node_get_tree(node);2687	tree = isl_schedule_tree_insert_mark(tree, mark);2688	node = isl_schedule_node_graft_tree(node, tree);2689 2690	return node;2691}2692 2693/* Attach the current subtree of "node" to a sequence of filter tree nodes2694 * with filters described by "filters", attach this sequence2695 * of filter tree nodes as children to a new tree of type "type" and2696 * replace the original subtree of "node" by this new tree.2697 * Each copy of the original subtree is simplified with respect2698 * to the corresponding filter.2699 */2700static __isl_give isl_schedule_node *isl_schedule_node_insert_children(2701	__isl_take isl_schedule_node *node,2702	enum isl_schedule_node_type type,2703	__isl_take isl_union_set_list *filters)2704{2705	int i;2706	isl_size n;2707	isl_ctx *ctx;2708	isl_schedule_tree *tree;2709	isl_schedule_tree_list *list;2710 2711	if (check_insert(node) < 0)2712		node = isl_schedule_node_free(node);2713 2714	n = isl_union_set_list_n_union_set(filters);2715	if (!node || n < 0)2716		goto error;2717 2718	ctx = isl_schedule_node_get_ctx(node);2719	list = isl_schedule_tree_list_alloc(ctx, n);2720	for (i = 0; i < n; ++i) {2721		isl_schedule_node *node_i;2722		isl_schedule_tree *tree;2723		isl_union_set *filter;2724 2725		filter = isl_union_set_list_get_union_set(filters, i);2726		node_i = isl_schedule_node_copy(node);2727		node_i = isl_schedule_node_gist(node_i,2728						isl_union_set_copy(filter));2729		tree = isl_schedule_node_get_tree(node_i);2730		isl_schedule_node_free(node_i);2731		tree = isl_schedule_tree_insert_filter(tree, filter);2732		list = isl_schedule_tree_list_add(list, tree);2733	}2734	tree = isl_schedule_tree_from_children(type, list);2735	node = isl_schedule_node_graft_tree(node, tree);2736 2737	isl_union_set_list_free(filters);2738	return node;2739error:2740	isl_union_set_list_free(filters);2741	isl_schedule_node_free(node);2742	return NULL;2743}2744 2745/* Insert a sequence node with child filters "filters" between "node" and2746 * its parent.  That is, the tree that "node" points to is attached2747 * to each of the child nodes of the filter nodes.2748 * Return a pointer to the new sequence node.2749 */2750__isl_give isl_schedule_node *isl_schedule_node_insert_sequence(2751	__isl_take isl_schedule_node *node,2752	__isl_take isl_union_set_list *filters)2753{2754	return isl_schedule_node_insert_children(node,2755					isl_schedule_node_sequence, filters);2756}2757 2758/* Insert a set node with child filters "filters" between "node" and2759 * its parent.  That is, the tree that "node" points to is attached2760 * to each of the child nodes of the filter nodes.2761 * Return a pointer to the new set node.2762 */2763__isl_give isl_schedule_node *isl_schedule_node_insert_set(2764	__isl_take isl_schedule_node *node,2765	__isl_take isl_union_set_list *filters)2766{2767	return isl_schedule_node_insert_children(node,2768					isl_schedule_node_set, filters);2769}2770 2771/* Remove "node" from its schedule tree and return a pointer2772 * to the leaf at the same position in the updated schedule tree.2773 *2774 * It is not allowed to remove the root of a schedule tree or2775 * a child of a set or sequence node.2776 */2777__isl_give isl_schedule_node *isl_schedule_node_cut(2778	__isl_take isl_schedule_node *node)2779{2780	isl_schedule_tree *leaf;2781	enum isl_schedule_node_type parent_type;2782 2783	if (!node)2784		return NULL;2785	if (!isl_schedule_node_has_parent(node))2786		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,2787			"cannot cut root", return isl_schedule_node_free(node));2788 2789	parent_type = isl_schedule_node_get_parent_type(node);2790	if (parent_type == isl_schedule_node_set ||2791	    parent_type == isl_schedule_node_sequence)2792		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,2793			"cannot cut child of set or sequence",2794			return isl_schedule_node_free(node));2795 2796	leaf = isl_schedule_node_get_leaf(node);2797	return isl_schedule_node_graft_tree(node, leaf);2798}2799 2800/* Remove a single node from the schedule tree, attaching the child2801 * of "node" directly to its parent.2802 * Return a pointer to this former child or to the leaf the position2803 * of the original node if there was no child.2804 * It is not allowed to remove the root of a schedule tree,2805 * a set or sequence node, a child of a set or sequence node or2806 * a band node with an anchored subtree.2807 */2808__isl_give isl_schedule_node *isl_schedule_node_delete(2809	__isl_take isl_schedule_node *node)2810{2811	isl_size n, depth;2812	isl_schedule_tree *tree;2813	enum isl_schedule_node_type type;2814 2815	depth = isl_schedule_node_get_tree_depth(node);2816	n = isl_schedule_node_n_children(node);2817	if (depth < 0 || n < 0)2818		return isl_schedule_node_free(node);2819 2820	if (depth == 0)2821		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,2822			"cannot delete root node",2823			return isl_schedule_node_free(node));2824	if (n != 1)2825		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,2826			"can only delete node with a single child",2827			return isl_schedule_node_free(node));2828	type = isl_schedule_node_get_parent_type(node);2829	if (type == isl_schedule_node_sequence || type == isl_schedule_node_set)2830		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,2831			"cannot delete child of set or sequence",2832			return isl_schedule_node_free(node));2833	if (isl_schedule_node_get_type(node) == isl_schedule_node_band) {2834		int anchored;2835 2836		anchored = isl_schedule_node_is_subtree_anchored(node);2837		if (anchored < 0)2838			return isl_schedule_node_free(node);2839		if (anchored)2840			isl_die(isl_schedule_node_get_ctx(node),2841				isl_error_invalid,2842				"cannot delete band node with anchored subtree",2843				return isl_schedule_node_free(node));2844	}2845 2846	tree = isl_schedule_node_get_tree(node);2847	if (!tree || isl_schedule_tree_has_children(tree)) {2848		tree = isl_schedule_tree_child(tree, 0);2849	} else {2850		isl_schedule_tree_free(tree);2851		tree = isl_schedule_node_get_leaf(node);2852	}2853	node = isl_schedule_node_graft_tree(node, tree);2854 2855	return node;2856}2857 2858/* Internal data structure for the group_ancestor callback.2859 *2860 * If "finished" is set, then we no longer need to modify2861 * any further ancestors.2862 *2863 * "contraction" and "expansion" represent the expansion2864 * that reflects the grouping.2865 *2866 * "domain" contains the domain elements that reach the position2867 * where the grouping is performed.  That is, it is the range2868 * of the resulting expansion.2869 * "domain_universe" is the universe of "domain".2870 * "group" is the set of group elements, i.e., the domain2871 * of the resulting expansion.2872 * "group_universe" is the universe of "group".2873 *2874 * "sched" is the schedule for the group elements, in pratice2875 * an identity mapping on "group_universe".2876 * "dim" is the dimension of "sched".2877 */2878struct isl_schedule_group_data {2879	int finished;2880 2881	isl_union_map *expansion;2882	isl_union_pw_multi_aff *contraction;2883 2884	isl_union_set *domain;2885	isl_union_set *domain_universe;2886	isl_union_set *group;2887	isl_union_set *group_universe;2888 2889	int dim;2890	isl_multi_aff *sched;2891};2892 2893/* Is domain covered by data->domain within data->domain_universe?2894 */2895static isl_bool locally_covered_by_domain(__isl_keep isl_union_set *domain,2896	struct isl_schedule_group_data *data)2897{2898	isl_bool is_subset;2899	isl_union_set *test;2900 2901	test = isl_union_set_copy(domain);2902	test = isl_union_set_intersect(test,2903			    isl_union_set_copy(data->domain_universe));2904	is_subset = isl_union_set_is_subset(test, data->domain);2905	isl_union_set_free(test);2906 2907	return is_subset;2908}2909 2910/* Update the band tree root "tree" to refer to the group instances2911 * in data->group rather than the original domain elements in data->domain.2912 * "pos" is the position in the original schedule tree where the modified2913 * "tree" will be attached.2914 *2915 * Add the part of the identity schedule on the group instances data->sched2916 * that corresponds to this band node to the band schedule.2917 * If the domain elements that reach the node and that are part2918 * of data->domain_universe are all elements of data->domain (and therefore2919 * replaced by the group instances) then this data->domain_universe2920 * is removed from the domain of the band schedule.2921 */2922static __isl_give isl_schedule_tree *group_band(2923	__isl_take isl_schedule_tree *tree, __isl_keep isl_schedule_node *pos,2924	struct isl_schedule_group_data *data)2925{2926	isl_union_set *domain;2927	isl_multi_aff *ma;2928	isl_multi_union_pw_aff *mupa, *partial;2929	isl_bool is_covered;2930	isl_size depth, n;2931	isl_bool has_id;2932 2933	domain = isl_schedule_node_get_domain(pos);2934	is_covered = locally_covered_by_domain(domain, data);2935	if (is_covered >= 0 && is_covered) {2936		domain = isl_union_set_universe(domain);2937		domain = isl_union_set_subtract(domain,2938			    isl_union_set_copy(data->domain_universe));2939		tree = isl_schedule_tree_band_intersect_domain(tree, domain);2940	} else2941		isl_union_set_free(domain);2942	if (is_covered < 0)2943		return isl_schedule_tree_free(tree);2944	depth = isl_schedule_node_get_schedule_depth(pos);2945	n = isl_schedule_tree_band_n_member(tree);2946	if (depth < 0 || n < 0)2947		return isl_schedule_tree_free(tree);2948	ma = isl_multi_aff_copy(data->sched);2949	ma = isl_multi_aff_drop_dims(ma, isl_dim_out, 0, depth);2950	ma = isl_multi_aff_drop_dims(ma, isl_dim_out, n, data->dim - depth - n);2951	mupa = isl_multi_union_pw_aff_from_multi_aff(ma);2952	partial = isl_schedule_tree_band_get_partial_schedule(tree);2953	has_id = isl_multi_union_pw_aff_has_tuple_id(partial, isl_dim_set);2954	if (has_id < 0) {2955		partial = isl_multi_union_pw_aff_free(partial);2956	} else if (has_id) {2957		isl_id *id;2958		id = isl_multi_union_pw_aff_get_tuple_id(partial, isl_dim_set);2959		mupa = isl_multi_union_pw_aff_set_tuple_id(mupa,2960							    isl_dim_set, id);2961	}2962	partial = isl_multi_union_pw_aff_union_add(partial, mupa);2963	tree = isl_schedule_tree_band_set_partial_schedule(tree, partial);2964 2965	return tree;2966}2967 2968/* Drop the parameters in "uset" that are not also in "space".2969 * "n" is the number of parameters in "space".2970 */2971static __isl_give isl_union_set *union_set_drop_extra_params(2972	__isl_take isl_union_set *uset, __isl_keep isl_space *space, int n)2973{2974	isl_size n2;2975 2976	uset = isl_union_set_align_params(uset, isl_space_copy(space));2977	n2 = isl_union_set_dim(uset, isl_dim_param);2978	if (n2 < 0)2979		return isl_union_set_free(uset);2980	uset = isl_union_set_project_out(uset, isl_dim_param, n, n2 - n);2981 2982	return uset;2983}2984 2985/* Update the context tree root "tree" to refer to the group instances2986 * in data->group rather than the original domain elements in data->domain.2987 * "pos" is the position in the original schedule tree where the modified2988 * "tree" will be attached.2989 *2990 * We do not actually need to update "tree" since a context node only2991 * refers to the schedule space.  However, we may need to update "data"2992 * to not refer to any parameters introduced by the context node.2993 */2994static __isl_give isl_schedule_tree *group_context(2995	__isl_take isl_schedule_tree *tree, __isl_keep isl_schedule_node *pos,2996	struct isl_schedule_group_data *data)2997{2998	isl_space *space;2999	isl_union_set *domain;3000	isl_size n1, n2;3001	isl_bool involves;3002	isl_size depth;3003 3004	depth = isl_schedule_node_get_tree_depth(pos);3005	if (depth < 0)3006		return isl_schedule_tree_free(tree);3007	if (depth == 1)3008		return tree;3009 3010	domain = isl_schedule_node_get_universe_domain(pos);3011	space = isl_union_set_get_space(domain);3012	isl_union_set_free(domain);3013 3014	n1 = isl_space_dim(space, isl_dim_param);3015	data->expansion = isl_union_map_align_params(data->expansion, space);3016	n2 = isl_union_map_dim(data->expansion, isl_dim_param);3017 3018	if (n1 < 0 || n2 < 0)3019		return isl_schedule_tree_free(tree);3020	if (n1 == n2)3021		return tree;3022 3023	involves = isl_union_map_involves_dims(data->expansion,3024				isl_dim_param, n1, n2 - n1);3025	if (involves < 0)3026		return isl_schedule_tree_free(tree);3027	if (involves)3028		isl_die(isl_schedule_node_get_ctx(pos), isl_error_invalid,3029			"grouping cannot only refer to global parameters",3030			return isl_schedule_tree_free(tree));3031 3032	data->expansion = isl_union_map_project_out(data->expansion,3033				isl_dim_param, n1, n2 - n1);3034	space = isl_union_map_get_space(data->expansion);3035 3036	data->contraction = isl_union_pw_multi_aff_align_params(3037				data->contraction, isl_space_copy(space));3038	n2 = isl_union_pw_multi_aff_dim(data->contraction, isl_dim_param);3039	if (n2 < 0)3040		data->contraction =3041				isl_union_pw_multi_aff_free(data->contraction);3042	data->contraction = isl_union_pw_multi_aff_drop_dims(data->contraction,3043				isl_dim_param, n1, n2 - n1);3044 3045	data->domain = union_set_drop_extra_params(data->domain, space, n1);3046	data->domain_universe =3047		union_set_drop_extra_params(data->domain_universe, space, n1);3048	data->group = union_set_drop_extra_params(data->group, space, n1);3049	data->group_universe =3050		union_set_drop_extra_params(data->group_universe, space, n1);3051 3052	data->sched = isl_multi_aff_align_params(data->sched,3053				isl_space_copy(space));3054	n2 = isl_multi_aff_dim(data->sched, isl_dim_param);3055	if (n2 < 0)3056		data->sched = isl_multi_aff_free(data->sched);3057	data->sched = isl_multi_aff_drop_dims(data->sched,3058				isl_dim_param, n1, n2 - n1);3059 3060	isl_space_free(space);3061 3062	return tree;3063}3064 3065/* Update the domain tree root "tree" to refer to the group instances3066 * in data->group rather than the original domain elements in data->domain.3067 * "pos" is the position in the original schedule tree where the modified3068 * "tree" will be attached.3069 *3070 * We first double-check that all grouped domain elements are actually3071 * part of the root domain and then replace those elements by the group3072 * instances.3073 */3074static __isl_give isl_schedule_tree *group_domain(3075	__isl_take isl_schedule_tree *tree, __isl_keep isl_schedule_node *pos,3076	struct isl_schedule_group_data *data)3077{3078	isl_union_set *domain;3079	isl_bool is_subset;3080 3081	domain = isl_schedule_tree_domain_get_domain(tree);3082	is_subset = isl_union_set_is_subset(data->domain, domain);3083	isl_union_set_free(domain);3084	if (is_subset < 0)3085		return isl_schedule_tree_free(tree);3086	if (!is_subset)3087		isl_die(isl_schedule_tree_get_ctx(tree), isl_error_internal,3088			"grouped domain should be part of outer domain",3089			return isl_schedule_tree_free(tree));3090	domain = isl_schedule_tree_domain_get_domain(tree);3091	domain = isl_union_set_subtract(domain,3092				isl_union_set_copy(data->domain));3093	domain = isl_union_set_union(domain, isl_union_set_copy(data->group));3094	tree = isl_schedule_tree_domain_set_domain(tree, domain);3095 3096	return tree;3097}3098 3099/* Update the expansion tree root "tree" to refer to the group instances3100 * in data->group rather than the original domain elements in data->domain.3101 * "pos" is the position in the original schedule tree where the modified3102 * "tree" will be attached.3103 *3104 * Let G_1 -> D_1 be the expansion of "tree" and G_2 -> D_2 the newly3105 * introduced expansion in a descendant of "tree".3106 * We first double-check that D_2 is a subset of D_1.3107 * Then we remove D_2 from the range of G_1 -> D_1 and add the mapping3108 * G_1 -> D_1 . D_2 -> G_2.3109 * Simmilarly, we restrict the domain of the contraction to the universe3110 * of the range of the updated expansion and add G_2 -> D_2 . D_1 -> G_1,3111 * attempting to remove the domain constraints of this additional part.3112 */3113static __isl_give isl_schedule_tree *group_expansion(3114	__isl_take isl_schedule_tree *tree, __isl_keep isl_schedule_node *pos,3115	struct isl_schedule_group_data *data)3116{3117	isl_union_set *domain;3118	isl_union_map *expansion, *umap;3119	isl_union_pw_multi_aff *contraction, *upma;3120	int is_subset;3121 3122	expansion = isl_schedule_tree_expansion_get_expansion(tree);3123	domain = isl_union_map_range(expansion);3124	is_subset = isl_union_set_is_subset(data->domain, domain);3125	isl_union_set_free(domain);3126	if (is_subset < 0)3127		return isl_schedule_tree_free(tree);3128	if (!is_subset)3129		isl_die(isl_schedule_tree_get_ctx(tree), isl_error_internal,3130			"grouped domain should be part "3131			"of outer expansion domain",3132			return isl_schedule_tree_free(tree));3133	expansion = isl_schedule_tree_expansion_get_expansion(tree);3134	umap = isl_union_map_from_union_pw_multi_aff(3135			isl_union_pw_multi_aff_copy(data->contraction));3136	umap = isl_union_map_apply_range(expansion, umap);3137	expansion = isl_schedule_tree_expansion_get_expansion(tree);3138	expansion = isl_union_map_subtract_range(expansion,3139				isl_union_set_copy(data->domain));3140	expansion = isl_union_map_union(expansion, umap);3141	umap = isl_union_map_universe(isl_union_map_copy(expansion));3142	domain = isl_union_map_range(umap);3143	contraction = isl_schedule_tree_expansion_get_contraction(tree);3144	umap = isl_union_map_from_union_pw_multi_aff(contraction);3145	umap = isl_union_map_apply_range(isl_union_map_copy(data->expansion),3146					umap);3147	upma = isl_union_pw_multi_aff_from_union_map(umap);3148	contraction = isl_schedule_tree_expansion_get_contraction(tree);3149	contraction = isl_union_pw_multi_aff_intersect_domain(contraction,3150								domain);3151	domain = isl_union_pw_multi_aff_domain(3152				isl_union_pw_multi_aff_copy(upma));3153	upma = isl_union_pw_multi_aff_gist(upma, domain);3154	contraction = isl_union_pw_multi_aff_union_add(contraction, upma);3155	tree = isl_schedule_tree_expansion_set_contraction_and_expansion(tree,3156							contraction, expansion);3157 3158	return tree;3159}3160 3161/* Update the tree root "tree" to refer to the group instances3162 * in data->group rather than the original domain elements in data->domain.3163 * "pos" is the position in the original schedule tree where the modified3164 * "tree" will be attached.3165 *3166 * If we have come across a domain or expansion node before (data->finished3167 * is set), then we no longer need perform any modifications.3168 *3169 * If "tree" is a filter, then we add data->group_universe to the filter.3170 * We also remove data->domain_universe from the filter if all the domain3171 * elements in this universe that reach the filter node are part of3172 * the elements that are being grouped by data->expansion.3173 * If "tree" is a band, domain or expansion, then it is handled3174 * in a separate function.3175 */3176static __isl_give isl_schedule_tree *group_ancestor(3177	__isl_take isl_schedule_tree *tree, __isl_keep isl_schedule_node *pos,3178	void *user)3179{3180	struct isl_schedule_group_data *data = user;3181	isl_union_set *domain;3182	isl_bool is_covered;3183 3184	if (!tree || !pos)3185		return isl_schedule_tree_free(tree);3186 3187	if (data->finished)3188		return tree;3189 3190	switch (isl_schedule_tree_get_type(tree)) {3191	case isl_schedule_node_error:3192		return isl_schedule_tree_free(tree);3193	case isl_schedule_node_extension:3194		isl_die(isl_schedule_tree_get_ctx(tree), isl_error_unsupported,3195			"grouping not allowed in extended tree",3196			return isl_schedule_tree_free(tree));3197	case isl_schedule_node_band:3198		tree = group_band(tree, pos, data);3199		break;3200	case isl_schedule_node_context:3201		tree = group_context(tree, pos, data);3202		break;3203	case isl_schedule_node_domain:3204		tree = group_domain(tree, pos, data);3205		data->finished = 1;3206		break;3207	case isl_schedule_node_filter:3208		domain = isl_schedule_node_get_domain(pos);3209		is_covered = locally_covered_by_domain(domain, data);3210		isl_union_set_free(domain);3211		if (is_covered < 0)3212			return isl_schedule_tree_free(tree);3213		domain = isl_schedule_tree_filter_get_filter(tree);3214		if (is_covered)3215			domain = isl_union_set_subtract(domain,3216				    isl_union_set_copy(data->domain_universe));3217		domain = isl_union_set_union(domain,3218				    isl_union_set_copy(data->group_universe));3219		tree = isl_schedule_tree_filter_set_filter(tree, domain);3220		break;3221	case isl_schedule_node_expansion:3222		tree = group_expansion(tree, pos, data);3223		data->finished = 1;3224		break;3225	case isl_schedule_node_leaf:3226	case isl_schedule_node_guard:3227	case isl_schedule_node_mark:3228	case isl_schedule_node_sequence:3229	case isl_schedule_node_set:3230		break;3231	}3232 3233	return tree;3234}3235 3236/* Group the domain elements that reach "node" into instances3237 * of a single statement with identifier "group_id".3238 * In particular, group the domain elements according to their3239 * prefix schedule.3240 *3241 * That is, introduce an expansion node with as contraction3242 * the prefix schedule (with the target space replaced by "group_id")3243 * and as expansion the inverse of this contraction (with its range3244 * intersected with the domain elements that reach "node").3245 * The outer nodes are then modified to refer to the group instances3246 * instead of the original domain elements.3247 *3248 * No instance of "group_id" is allowed to reach "node" prior3249 * to the grouping.3250 * No ancestor of "node" is allowed to be an extension node.3251 *3252 * Return a pointer to original node in tree, i.e., the child3253 * of the newly introduced expansion node.3254 */3255__isl_give isl_schedule_node *isl_schedule_node_group(3256	__isl_take isl_schedule_node *node, __isl_take isl_id *group_id)3257{3258	struct isl_schedule_group_data data = { 0 };3259	isl_space *space;3260	isl_union_set *domain;3261	isl_union_pw_multi_aff *contraction;3262	isl_union_map *expansion;3263	isl_bool disjoint;3264	isl_size depth;3265 3266	depth = isl_schedule_node_get_schedule_depth(node);3267	if (depth < 0 || !group_id)3268		goto error;3269	if (check_insert(node) < 0)3270		goto error;3271 3272	domain = isl_schedule_node_get_domain(node);3273	data.domain = isl_union_set_copy(domain);3274	data.domain_universe = isl_union_set_copy(domain);3275	data.domain_universe = isl_union_set_universe(data.domain_universe);3276 3277	data.dim = depth;3278	if (data.dim == 0) {3279		isl_ctx *ctx;3280		isl_set *set;3281		isl_union_set *group;3282		isl_union_map *univ;3283 3284		ctx = isl_schedule_node_get_ctx(node);3285		space = isl_space_set_alloc(ctx, 0, 0);3286		space = isl_space_set_tuple_id(space, isl_dim_set, group_id);3287		set = isl_set_universe(isl_space_copy(space));3288		group = isl_union_set_from_set(set);3289		expansion = isl_union_map_from_domain_and_range(domain, group);3290		univ = isl_union_map_universe(isl_union_map_copy(expansion));3291		contraction = isl_union_pw_multi_aff_from_union_map(univ);3292		expansion = isl_union_map_reverse(expansion);3293	} else {3294		isl_multi_union_pw_aff *prefix;3295		isl_union_set *univ;3296 3297		prefix =3298		isl_schedule_node_get_prefix_schedule_multi_union_pw_aff(node);3299		prefix = isl_multi_union_pw_aff_set_tuple_id(prefix,3300							isl_dim_set, group_id);3301		space = isl_multi_union_pw_aff_get_space(prefix);3302		contraction = isl_union_pw_multi_aff_from_multi_union_pw_aff(3303							prefix);3304		univ = isl_union_set_universe(isl_union_set_copy(domain));3305		contraction =3306		    isl_union_pw_multi_aff_intersect_domain(contraction, univ);3307		expansion = isl_union_map_from_union_pw_multi_aff(3308				    isl_union_pw_multi_aff_copy(contraction));3309		expansion = isl_union_map_reverse(expansion);3310		expansion = isl_union_map_intersect_range(expansion, domain);3311	}3312	space = isl_space_map_from_set(space);3313	data.sched = isl_multi_aff_identity(space);3314	data.group = isl_union_map_domain(isl_union_map_copy(expansion));3315	data.group = isl_union_set_coalesce(data.group);3316	data.group_universe = isl_union_set_copy(data.group);3317	data.group_universe = isl_union_set_universe(data.group_universe);3318	data.expansion = isl_union_map_copy(expansion);3319	data.contraction = isl_union_pw_multi_aff_copy(contraction);3320	node = isl_schedule_node_insert_expansion(node, contraction, expansion);3321 3322	disjoint = isl_union_set_is_disjoint(data.domain_universe,3323					    data.group_universe);3324 3325	node = update_ancestors(node, &group_ancestor, &data);3326 3327	isl_union_set_free(data.domain);3328	isl_union_set_free(data.domain_universe);3329	isl_union_set_free(data.group);3330	isl_union_set_free(data.group_universe);3331	isl_multi_aff_free(data.sched);3332	isl_union_map_free(data.expansion);3333	isl_union_pw_multi_aff_free(data.contraction);3334 3335	node = isl_schedule_node_child(node, 0);3336 3337	if (!node || disjoint < 0)3338		return isl_schedule_node_free(node);3339	if (!disjoint)3340		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,3341			"group instances already reach node",3342			return isl_schedule_node_free(node));3343 3344	return node;3345error:3346	isl_schedule_node_free(node);3347	isl_id_free(group_id);3348	return NULL;3349}3350 3351/* Compute the gist of the given band node with respect to "context".3352 */3353__isl_give isl_schedule_node *isl_schedule_node_band_gist(3354	__isl_take isl_schedule_node *node, __isl_take isl_union_set *context)3355{3356	isl_schedule_tree *tree;3357 3358	tree = isl_schedule_node_get_tree(node);3359	tree = isl_schedule_tree_band_gist(tree, context);3360	return isl_schedule_node_graft_tree(node, tree);3361}3362 3363/* Internal data structure for isl_schedule_node_gist.3364 * "n_expansion" is the number of outer expansion nodes3365 * with respect to the current position3366 * "filters" contains an element for each outer filter, expansion or3367 * extension node with respect to the current position, each representing3368 * the intersection of the previous element and the filter on the filter node3369 * or the expansion/extension of the previous element.3370 * The first element in the original context passed to isl_schedule_node_gist.3371 */3372struct isl_node_gist_data {3373	int n_expansion;3374	isl_union_set_list *filters;3375};3376 3377/* Enter the expansion node "node" during a isl_schedule_node_gist traversal.3378 *3379 * In particular, add an extra element to data->filters containing3380 * the expansion of the previous element and replace the expansion3381 * and contraction on "node" by the gist with respect to these filters.3382 * Also keep track of the fact that we have entered another expansion.3383 */3384static __isl_give isl_schedule_node *gist_enter_expansion(3385	__isl_take isl_schedule_node *node, struct isl_node_gist_data *data)3386{3387	isl_size n;3388	isl_union_set *inner;3389	isl_union_map *expansion;3390	isl_union_pw_multi_aff *contraction;3391 3392	data->n_expansion++;3393 3394	n = isl_union_set_list_n_union_set(data->filters);3395	if (n < 0)3396		return isl_schedule_node_free(node);3397	inner = isl_union_set_list_get_union_set(data->filters, n - 1);3398	expansion = isl_schedule_node_expansion_get_expansion(node);3399	inner = isl_union_set_apply(inner, expansion);3400 3401	contraction = isl_schedule_node_expansion_get_contraction(node);3402	contraction = isl_union_pw_multi_aff_gist(contraction,3403						isl_union_set_copy(inner));3404 3405	data->filters = isl_union_set_list_add(data->filters, inner);3406 3407	inner = isl_union_set_list_get_union_set(data->filters, n - 1);3408	expansion = isl_schedule_node_expansion_get_expansion(node);3409	expansion = isl_union_map_gist_domain(expansion, inner);3410	node = isl_schedule_node_expansion_set_contraction_and_expansion(node,3411						contraction, expansion);3412 3413	return node;3414}3415 3416/* Leave the expansion node "node" during a isl_schedule_node_gist traversal.3417 *3418 * In particular, remove the element in data->filters that was added by3419 * gist_enter_expansion and decrement the number of outer expansions.3420 *3421 * The expansion has already been simplified in gist_enter_expansion.3422 * If this simplification results in an identity expansion, then3423 * it is removed here.3424 */3425static __isl_give isl_schedule_node *gist_leave_expansion(3426	__isl_take isl_schedule_node *node, struct isl_node_gist_data *data)3427{3428	isl_size n;3429	isl_bool identity;3430	isl_union_map *expansion;3431 3432	expansion = isl_schedule_node_expansion_get_expansion(node);3433	identity = isl_union_map_is_identity(expansion);3434	isl_union_map_free(expansion);3435 3436	if (identity < 0)3437		node = isl_schedule_node_free(node);3438	else if (identity)3439		node = isl_schedule_node_delete(node);3440 3441	n = isl_union_set_list_n_union_set(data->filters);3442	if (n < 0)3443		return isl_schedule_node_free(node);3444	data->filters = isl_union_set_list_drop(data->filters, n - 1, 1);3445 3446	data->n_expansion--;3447 3448	return node;3449}3450 3451/* Enter the extension node "node" during a isl_schedule_node_gist traversal.3452 *3453 * In particular, add an extra element to data->filters containing3454 * the union of the previous element with the additional domain elements3455 * introduced by the extension.3456 */3457static __isl_give isl_schedule_node *gist_enter_extension(3458	__isl_take isl_schedule_node *node, struct isl_node_gist_data *data)3459{3460	isl_size n;3461	isl_union_set *inner, *extra;3462	isl_union_map *extension;3463 3464	n = isl_union_set_list_n_union_set(data->filters);3465	if (n < 0)3466		return isl_schedule_node_free(node);3467	inner = isl_union_set_list_get_union_set(data->filters, n - 1);3468	extension = isl_schedule_node_extension_get_extension(node);3469	extra = isl_union_map_range(extension);3470	inner = isl_union_set_union(inner, extra);3471 3472	data->filters = isl_union_set_list_add(data->filters, inner);3473 3474	return node;3475}3476 3477/* Can we finish gisting at this node?3478 * That is, is the filter on the current filter node a subset of3479 * the original context passed to isl_schedule_node_gist?3480 * If we have gone through any expansions, then we cannot perform3481 * this test since the current domain elements are incomparable3482 * to the domain elements in the original context.3483 */3484static isl_bool gist_done(__isl_keep isl_schedule_node *node,3485	struct isl_node_gist_data *data)3486{3487	isl_union_set *filter, *outer;3488	isl_bool subset;3489 3490	if (data->n_expansion != 0)3491		return isl_bool_false;3492 3493	filter = isl_schedule_node_filter_get_filter(node);3494	outer = isl_union_set_list_get_union_set(data->filters, 0);3495	subset = isl_union_set_is_subset(filter, outer);3496	isl_union_set_free(outer);3497	isl_union_set_free(filter);3498 3499	return subset;3500}3501 3502/* Callback for "traverse" to enter a node and to move3503 * to the deepest initial subtree that should be traversed3504 * by isl_schedule_node_gist.3505 *3506 * The "filters" list is extended by one element each time3507 * we come across a filter node by the result of intersecting3508 * the last element in the list with the filter on the filter node.3509 *3510 * If the filter on the current filter node is a subset of3511 * the original context passed to isl_schedule_node_gist,3512 * then there is no need to go into its subtree since it cannot3513 * be further simplified by the context.  The "filters" list is3514 * still extended for consistency, but the actual value of the3515 * added element is immaterial since it will not be used.3516 *3517 * Otherwise, the filter on the current filter node is replaced by3518 * the gist of the original filter with respect to the intersection3519 * of the original context with the intermediate filters.3520 *3521 * If the new element in the "filters" list is empty, then no elements3522 * can reach the descendants of the current filter node.  The subtree3523 * underneath the filter node is therefore removed.3524 *3525 * Each expansion node we come across is handled by3526 * gist_enter_expansion.3527 *3528 * Each extension node we come across is handled by3529 * gist_enter_extension.3530 */3531static __isl_give isl_schedule_node *gist_enter(3532	__isl_take isl_schedule_node *node, void *user)3533{3534	struct isl_node_gist_data *data = user;3535 3536	do {3537		isl_union_set *filter, *inner;3538		isl_bool done, empty;3539		isl_size n;3540 3541		switch (isl_schedule_node_get_type(node)) {3542		case isl_schedule_node_error:3543			return isl_schedule_node_free(node);3544		case isl_schedule_node_expansion:3545			node = gist_enter_expansion(node, data);3546			continue;3547		case isl_schedule_node_extension:3548			node = gist_enter_extension(node, data);3549			continue;3550		case isl_schedule_node_band:3551		case isl_schedule_node_context:3552		case isl_schedule_node_domain:3553		case isl_schedule_node_guard:3554		case isl_schedule_node_leaf:3555		case isl_schedule_node_mark:3556		case isl_schedule_node_sequence:3557		case isl_schedule_node_set:3558			continue;3559		case isl_schedule_node_filter:3560			break;3561		}3562		done = gist_done(node, data);3563		filter = isl_schedule_node_filter_get_filter(node);3564		n = isl_union_set_list_n_union_set(data->filters);3565		if (n < 0 || done < 0 || done) {3566			data->filters = isl_union_set_list_add(data->filters,3567								filter);3568			if (n < 0 || done < 0)3569				return isl_schedule_node_free(node);3570			return node;3571		}3572		inner = isl_union_set_list_get_union_set(data->filters, n - 1);3573		filter = isl_union_set_gist(filter, isl_union_set_copy(inner));3574		node = isl_schedule_node_filter_set_filter(node,3575						isl_union_set_copy(filter));3576		filter = isl_union_set_intersect(filter, inner);3577		empty = isl_union_set_is_empty(filter);3578		data->filters = isl_union_set_list_add(data->filters, filter);3579		if (empty < 0)3580			return isl_schedule_node_free(node);3581		if (!empty)3582			continue;3583		node = isl_schedule_node_child(node, 0);3584		node = isl_schedule_node_cut(node);3585		node = isl_schedule_node_parent(node);3586		return node;3587	} while (isl_schedule_node_has_children(node) &&3588		(node = isl_schedule_node_first_child(node)) != NULL);3589 3590	return node;3591}3592 3593/* Callback for "traverse" to leave a node for isl_schedule_node_gist.3594 *3595 * In particular, if the current node is a filter node, then we remove3596 * the element on the "filters" list that was added when we entered3597 * the node.  There is no need to compute any gist here, since we3598 * already did that when we entered the node.3599 *3600 * Expansion nodes are handled by gist_leave_expansion.3601 *3602 * If the current node is an extension, then remove the element3603 * in data->filters that was added by gist_enter_extension.3604 *3605 * If the current node is a band node, then we compute the gist of3606 * the band node with respect to the intersection of the original context3607 * and the intermediate filters.3608 *3609 * If the current node is a sequence or set node, then some of3610 * the filter children may have become empty and so they are removed.3611 * If only one child is left, then the set or sequence node along with3612 * the single remaining child filter is removed.  The filter can be3613 * removed because the filters on a sequence or set node are supposed3614 * to partition the incoming domain instances.3615 * In principle, it should then be impossible for there to be zero3616 * remaining children, but should this happen, we replace the entire3617 * subtree with an empty filter.3618 */3619static __isl_give isl_schedule_node *gist_leave(3620	__isl_take isl_schedule_node *node, void *user)3621{3622	struct isl_node_gist_data *data = user;3623	isl_schedule_tree *tree;3624	int i;3625	isl_size n;3626	isl_union_set *filter;3627 3628	switch (isl_schedule_node_get_type(node)) {3629	case isl_schedule_node_error:3630		return isl_schedule_node_free(node);3631	case isl_schedule_node_expansion:3632		node = gist_leave_expansion(node, data);3633		break;3634	case isl_schedule_node_extension:3635	case isl_schedule_node_filter:3636		n = isl_union_set_list_n_union_set(data->filters);3637		if (n < 0)3638			return isl_schedule_node_free(node);3639		data->filters = isl_union_set_list_drop(data->filters,3640							n - 1, 1);3641		break;3642	case isl_schedule_node_band:3643		n = isl_union_set_list_n_union_set(data->filters);3644		if (n < 0)3645			return isl_schedule_node_free(node);3646		filter = isl_union_set_list_get_union_set(data->filters, n - 1);3647		node = isl_schedule_node_band_gist(node, filter);3648		break;3649	case isl_schedule_node_set:3650	case isl_schedule_node_sequence:3651		tree = isl_schedule_node_get_tree(node);3652		n = isl_schedule_tree_n_children(tree);3653		if (n < 0)3654			tree = isl_schedule_tree_free(tree);3655		for (i = n - 1; i >= 0; --i) {3656			isl_schedule_tree *child;3657			isl_union_set *filter;3658			isl_bool empty;3659 3660			child = isl_schedule_tree_get_child(tree, i);3661			filter = isl_schedule_tree_filter_get_filter(child);3662			empty = isl_union_set_is_empty(filter);3663			isl_union_set_free(filter);3664			isl_schedule_tree_free(child);3665			if (empty < 0)3666				tree = isl_schedule_tree_free(tree);3667			else if (empty)3668				tree = isl_schedule_tree_drop_child(tree, i);3669		}3670		n = isl_schedule_tree_n_children(tree);3671		if (n < 0)3672			tree = isl_schedule_tree_free(tree);3673		node = isl_schedule_node_graft_tree(node, tree);3674		if (n == 1) {3675			node = isl_schedule_node_delete(node);3676			node = isl_schedule_node_delete(node);3677		} else if (n == 0) {3678			isl_space *space;3679 3680			filter =3681			    isl_union_set_list_get_union_set(data->filters, 0);3682			space = isl_union_set_get_space(filter);3683			isl_union_set_free(filter);3684			filter = isl_union_set_empty(space);3685			node = isl_schedule_node_cut(node);3686			node = isl_schedule_node_insert_filter(node, filter);3687		}3688		break;3689	case isl_schedule_node_context:3690	case isl_schedule_node_domain:3691	case isl_schedule_node_guard:3692	case isl_schedule_node_leaf:3693	case isl_schedule_node_mark:3694		break;3695	}3696 3697	return node;3698}3699 3700/* Compute the gist of the subtree at "node" with respect to3701 * the reaching domain elements in "context".3702 * In particular, compute the gist of all band and filter nodes3703 * in the subtree with respect to "context".  Children of set or sequence3704 * nodes that end up with an empty filter are removed completely.3705 *3706 * We keep track of the intersection of "context" with all outer filters3707 * of the current node within the subtree in the final element of "filters".3708 * Initially, this list contains the single element "context" and it is3709 * extended or shortened each time we enter or leave a filter node.3710 */3711__isl_give isl_schedule_node *isl_schedule_node_gist(3712	__isl_take isl_schedule_node *node, __isl_take isl_union_set *context)3713{3714	struct isl_node_gist_data data;3715 3716	data.n_expansion = 0;3717	data.filters = isl_union_set_list_from_union_set(context);3718	node = traverse(node, &gist_enter, &gist_leave, &data);3719	isl_union_set_list_free(data.filters);3720	return node;3721}3722 3723/* Intersect the domain of domain node "node" with "domain".3724 *3725 * If the domain of "node" is already a subset of "domain",3726 * then nothing needs to be changed.3727 *3728 * Otherwise, we replace the domain of the domain node by the intersection3729 * and simplify the subtree rooted at "node" with respect to this intersection.3730 */3731__isl_give isl_schedule_node *isl_schedule_node_domain_intersect_domain(3732	__isl_take isl_schedule_node *node, __isl_take isl_union_set *domain)3733{3734	isl_schedule_tree *tree;3735	isl_union_set *uset;3736	int is_subset;3737 3738	if (!node || !domain)3739		goto error;3740 3741	uset = isl_schedule_tree_domain_get_domain(node->tree);3742	is_subset = isl_union_set_is_subset(uset, domain);3743	isl_union_set_free(uset);3744	if (is_subset < 0)3745		goto error;3746	if (is_subset) {3747		isl_union_set_free(domain);3748		return node;3749	}3750 3751	tree = isl_schedule_tree_copy(node->tree);3752	uset = isl_schedule_tree_domain_get_domain(tree);3753	uset = isl_union_set_intersect(uset, domain);3754	tree = isl_schedule_tree_domain_set_domain(tree,3755						    isl_union_set_copy(uset));3756	node = isl_schedule_node_graft_tree(node, tree);3757 3758	node = isl_schedule_node_child(node, 0);3759	node = isl_schedule_node_gist(node, uset);3760	node = isl_schedule_node_parent(node);3761 3762	return node;3763error:3764	isl_schedule_node_free(node);3765	isl_union_set_free(domain);3766	return NULL;3767}3768 3769/* Replace the domain of domain node "node" with the gist3770 * of the original domain with respect to the parameter domain "context".3771 */3772__isl_give isl_schedule_node *isl_schedule_node_domain_gist_params(3773	__isl_take isl_schedule_node *node, __isl_take isl_set *context)3774{3775	isl_union_set *domain;3776	isl_schedule_tree *tree;3777 3778	if (!node || !context)3779		goto error;3780 3781	tree = isl_schedule_tree_copy(node->tree);3782	domain = isl_schedule_tree_domain_get_domain(node->tree);3783	domain = isl_union_set_gist_params(domain, context);3784	tree = isl_schedule_tree_domain_set_domain(tree, domain);3785	node = isl_schedule_node_graft_tree(node, tree);3786 3787	return node;3788error:3789	isl_schedule_node_free(node);3790	isl_set_free(context);3791	return NULL;3792}3793 3794/* Internal data structure for isl_schedule_node_get_subtree_expansion.3795 * "expansions" contains a list of accumulated expansions3796 * for each outer expansion, set or sequence node.  The first element3797 * in the list is an identity mapping on the reaching domain elements.3798 * "res" collects the results.3799 */3800struct isl_subtree_expansion_data {3801	isl_union_map_list *expansions;3802	isl_union_map *res;3803};3804 3805/* Callback for "traverse" to enter a node and to move3806 * to the deepest initial subtree that should be traversed3807 * by isl_schedule_node_get_subtree_expansion.3808 *3809 * Whenever we come across an expansion node, the last element3810 * of data->expansions is combined with the expansion3811 * on the expansion node.3812 *3813 * Whenever we come across a filter node that is the child3814 * of a set or sequence node, data->expansions is extended3815 * with a new element that restricts the previous element3816 * to the elements selected by the filter.3817 * The previous element can then be reused while backtracking.3818 */3819static __isl_give isl_schedule_node *subtree_expansion_enter(3820	__isl_take isl_schedule_node *node, void *user)3821{3822	struct isl_subtree_expansion_data *data = user;3823 3824	do {3825		enum isl_schedule_node_type type;3826		isl_union_set *filter;3827		isl_union_map *inner, *expansion;3828		isl_size n;3829 3830		switch (isl_schedule_node_get_type(node)) {3831		case isl_schedule_node_error:3832			return isl_schedule_node_free(node);3833		case isl_schedule_node_filter:3834			type = isl_schedule_node_get_parent_type(node);3835			if (type != isl_schedule_node_set &&3836			    type != isl_schedule_node_sequence)3837				break;3838			filter = isl_schedule_node_filter_get_filter(node);3839			n = isl_union_map_list_n_union_map(data->expansions);3840			if (n < 0)3841				data->expansions =3842				    isl_union_map_list_free(data->expansions);3843			inner =3844			    isl_union_map_list_get_union_map(data->expansions,3845								n - 1);3846			inner = isl_union_map_intersect_range(inner, filter);3847			data->expansions =3848			    isl_union_map_list_add(data->expansions, inner);3849			break;3850		case isl_schedule_node_expansion:3851			n = isl_union_map_list_n_union_map(data->expansions);3852			if (n < 0)3853				data->expansions =3854				    isl_union_map_list_free(data->expansions);3855			expansion =3856				isl_schedule_node_expansion_get_expansion(node);3857			inner =3858			    isl_union_map_list_get_union_map(data->expansions,3859								n - 1);3860			inner = isl_union_map_apply_range(inner, expansion);3861			data->expansions =3862			    isl_union_map_list_set_union_map(data->expansions,3863								n - 1, inner);3864			break;3865		case isl_schedule_node_band:3866		case isl_schedule_node_context:3867		case isl_schedule_node_domain:3868		case isl_schedule_node_extension:3869		case isl_schedule_node_guard:3870		case isl_schedule_node_leaf:3871		case isl_schedule_node_mark:3872		case isl_schedule_node_sequence:3873		case isl_schedule_node_set:3874			break;3875		}3876	} while (isl_schedule_node_has_children(node) &&3877		(node = isl_schedule_node_first_child(node)) != NULL);3878 3879	return node;3880}3881 3882/* Callback for "traverse" to leave a node for3883 * isl_schedule_node_get_subtree_expansion.3884 *3885 * If we come across a filter node that is the child3886 * of a set or sequence node, then we remove the element3887 * of data->expansions that was added in subtree_expansion_enter.3888 *3889 * If we reach a leaf node, then the accumulated expansion is3890 * added to data->res.3891 */3892static __isl_give isl_schedule_node *subtree_expansion_leave(3893	__isl_take isl_schedule_node *node, void *user)3894{3895	struct isl_subtree_expansion_data *data = user;3896	isl_size n;3897	isl_union_map *inner;3898	enum isl_schedule_node_type type;3899 3900	switch (isl_schedule_node_get_type(node)) {3901	case isl_schedule_node_error:3902		return isl_schedule_node_free(node);3903	case isl_schedule_node_filter:3904		type = isl_schedule_node_get_parent_type(node);3905		if (type != isl_schedule_node_set &&3906		    type != isl_schedule_node_sequence)3907			break;3908		n = isl_union_map_list_n_union_map(data->expansions);3909		if (n < 0)3910			data->expansions =3911				    isl_union_map_list_free(data->expansions);3912		data->expansions = isl_union_map_list_drop(data->expansions,3913							n - 1, 1);3914		break;3915	case isl_schedule_node_leaf:3916		n = isl_union_map_list_n_union_map(data->expansions);3917		if (n < 0)3918			data->expansions =3919				    isl_union_map_list_free(data->expansions);3920		inner = isl_union_map_list_get_union_map(data->expansions,3921							n - 1);3922		data->res = isl_union_map_union(data->res, inner);3923		break;3924	case isl_schedule_node_band:3925	case isl_schedule_node_context:3926	case isl_schedule_node_domain:3927	case isl_schedule_node_expansion:3928	case isl_schedule_node_extension:3929	case isl_schedule_node_guard:3930	case isl_schedule_node_mark:3931	case isl_schedule_node_sequence:3932	case isl_schedule_node_set:3933		break;3934	}3935 3936	return node;3937}3938 3939/* Return a mapping from the domain elements that reach "node"3940 * to the corresponding domain elements in the leaves of the subtree3941 * rooted at "node" obtained by composing the intermediate expansions.3942 *3943 * We start out with an identity mapping between the domain elements3944 * that reach "node" and compose it with all the expansions3945 * on a path from "node" to a leaf while traversing the subtree.3946 * Within the children of an a sequence or set node, the3947 * accumulated expansion is restricted to the elements selected3948 * by the filter child.3949 */3950__isl_give isl_union_map *isl_schedule_node_get_subtree_expansion(3951	__isl_keep isl_schedule_node *node)3952{3953	struct isl_subtree_expansion_data data;3954	isl_space *space;3955	isl_union_set *domain;3956	isl_union_map *expansion;3957 3958	if (!node)3959		return NULL;3960 3961	domain = isl_schedule_node_get_universe_domain(node);3962	space = isl_union_set_get_space(domain);3963	expansion = isl_union_set_identity(domain);3964	data.res = isl_union_map_empty(space);3965	data.expansions = isl_union_map_list_from_union_map(expansion);3966 3967	node = isl_schedule_node_copy(node);3968	node = traverse(node, &subtree_expansion_enter,3969			&subtree_expansion_leave, &data);3970	if (!node)3971		data.res = isl_union_map_free(data.res);3972	isl_schedule_node_free(node);3973 3974	isl_union_map_list_free(data.expansions);3975 3976	return data.res;3977}3978 3979/* Internal data structure for isl_schedule_node_get_subtree_contraction.3980 * "contractions" contains a list of accumulated contractions3981 * for each outer expansion, set or sequence node.  The first element3982 * in the list is an identity mapping on the reaching domain elements.3983 * "res" collects the results.3984 */3985struct isl_subtree_contraction_data {3986	isl_union_pw_multi_aff_list *contractions;3987	isl_union_pw_multi_aff *res;3988};3989 3990/* Callback for "traverse" to enter a node and to move3991 * to the deepest initial subtree that should be traversed3992 * by isl_schedule_node_get_subtree_contraction.3993 *3994 * Whenever we come across an expansion node, the last element3995 * of data->contractions is combined with the contraction3996 * on the expansion node.3997 *3998 * Whenever we come across a filter node that is the child3999 * of a set or sequence node, data->contractions is extended4000 * with a new element that restricts the previous element4001 * to the elements selected by the filter.4002 * The previous element can then be reused while backtracking.4003 */4004static __isl_give isl_schedule_node *subtree_contraction_enter(4005	__isl_take isl_schedule_node *node, void *user)4006{4007	struct isl_subtree_contraction_data *data = user;4008 4009	do {4010		enum isl_schedule_node_type type;4011		isl_union_set *filter;4012		isl_union_pw_multi_aff *inner, *contraction;4013		isl_size n;4014 4015		switch (isl_schedule_node_get_type(node)) {4016		case isl_schedule_node_error:4017			return isl_schedule_node_free(node);4018		case isl_schedule_node_filter:4019			type = isl_schedule_node_get_parent_type(node);4020			if (type != isl_schedule_node_set &&4021			    type != isl_schedule_node_sequence)4022				break;4023			filter = isl_schedule_node_filter_get_filter(node);4024			n = isl_union_pw_multi_aff_list_n_union_pw_multi_aff(4025						data->contractions);4026			if (n < 0)4027				data->contractions =4028				    isl_union_pw_multi_aff_list_free(4029							    data->contractions);4030			inner =4031			    isl_union_pw_multi_aff_list_get_union_pw_multi_aff(4032						data->contractions, n - 1);4033			inner = isl_union_pw_multi_aff_intersect_domain(inner,4034								filter);4035			data->contractions =4036			    isl_union_pw_multi_aff_list_add(data->contractions,4037								inner);4038			break;4039		case isl_schedule_node_expansion:4040			n = isl_union_pw_multi_aff_list_n_union_pw_multi_aff(4041						data->contractions);4042			if (n < 0)4043				data->contractions =4044				    isl_union_pw_multi_aff_list_free(4045							    data->contractions);4046			contraction =4047			    isl_schedule_node_expansion_get_contraction(node);4048			inner =4049			    isl_union_pw_multi_aff_list_get_union_pw_multi_aff(4050						data->contractions, n - 1);4051			inner =4052			    isl_union_pw_multi_aff_pullback_union_pw_multi_aff(4053						inner, contraction);4054			data->contractions =4055			    isl_union_pw_multi_aff_list_set_union_pw_multi_aff(4056					data->contractions, n - 1, inner);4057			break;4058		case isl_schedule_node_band:4059		case isl_schedule_node_context:4060		case isl_schedule_node_domain:4061		case isl_schedule_node_extension:4062		case isl_schedule_node_guard:4063		case isl_schedule_node_leaf:4064		case isl_schedule_node_mark:4065		case isl_schedule_node_sequence:4066		case isl_schedule_node_set:4067			break;4068		}4069	} while (isl_schedule_node_has_children(node) &&4070		(node = isl_schedule_node_first_child(node)) != NULL);4071 4072	return node;4073}4074 4075/* Callback for "traverse" to leave a node for4076 * isl_schedule_node_get_subtree_contraction.4077 *4078 * If we come across a filter node that is the child4079 * of a set or sequence node, then we remove the element4080 * of data->contractions that was added in subtree_contraction_enter.4081 *4082 * If we reach a leaf node, then the accumulated contraction is4083 * added to data->res.4084 */4085static __isl_give isl_schedule_node *subtree_contraction_leave(4086	__isl_take isl_schedule_node *node, void *user)4087{4088	struct isl_subtree_contraction_data *data = user;4089	isl_size n;4090	isl_union_pw_multi_aff *inner;4091	enum isl_schedule_node_type type;4092 4093	switch (isl_schedule_node_get_type(node)) {4094	case isl_schedule_node_error:4095		return isl_schedule_node_free(node);4096	case isl_schedule_node_filter:4097		type = isl_schedule_node_get_parent_type(node);4098		if (type != isl_schedule_node_set &&4099		    type != isl_schedule_node_sequence)4100			break;4101		n = isl_union_pw_multi_aff_list_n_union_pw_multi_aff(4102						data->contractions);4103		if (n < 0)4104			data->contractions = isl_union_pw_multi_aff_list_free(4105							    data->contractions);4106		data->contractions =4107			isl_union_pw_multi_aff_list_drop(data->contractions,4108							n - 1, 1);4109		break;4110	case isl_schedule_node_leaf:4111		n = isl_union_pw_multi_aff_list_n_union_pw_multi_aff(4112						data->contractions);4113		if (n < 0)4114			data->contractions = isl_union_pw_multi_aff_list_free(4115							    data->contractions);4116		inner = isl_union_pw_multi_aff_list_get_union_pw_multi_aff(4117						data->contractions, n - 1);4118		data->res = isl_union_pw_multi_aff_union_add(data->res, inner);4119		break;4120	case isl_schedule_node_band:4121	case isl_schedule_node_context:4122	case isl_schedule_node_domain:4123	case isl_schedule_node_expansion:4124	case isl_schedule_node_extension:4125	case isl_schedule_node_guard:4126	case isl_schedule_node_mark:4127	case isl_schedule_node_sequence:4128	case isl_schedule_node_set:4129		break;4130	}4131 4132	return node;4133}4134 4135/* Return a mapping from the domain elements in the leaves of the subtree4136 * rooted at "node" to the corresponding domain elements that reach "node"4137 * obtained by composing the intermediate contractions.4138 *4139 * We start out with an identity mapping between the domain elements4140 * that reach "node" and compose it with all the contractions4141 * on a path from "node" to a leaf while traversing the subtree.4142 * Within the children of an a sequence or set node, the4143 * accumulated contraction is restricted to the elements selected4144 * by the filter child.4145 */4146__isl_give isl_union_pw_multi_aff *isl_schedule_node_get_subtree_contraction(4147	__isl_keep isl_schedule_node *node)4148{4149	struct isl_subtree_contraction_data data;4150	isl_space *space;4151	isl_union_set *domain;4152	isl_union_pw_multi_aff *contraction;4153 4154	if (!node)4155		return NULL;4156 4157	domain = isl_schedule_node_get_universe_domain(node);4158	space = isl_union_set_get_space(domain);4159	contraction = isl_union_set_identity_union_pw_multi_aff(domain);4160	data.res = isl_union_pw_multi_aff_empty(space);4161	data.contractions =4162	    isl_union_pw_multi_aff_list_from_union_pw_multi_aff(contraction);4163 4164	node = isl_schedule_node_copy(node);4165	node = traverse(node, &subtree_contraction_enter,4166			&subtree_contraction_leave, &data);4167	if (!node)4168		data.res = isl_union_pw_multi_aff_free(data.res);4169	isl_schedule_node_free(node);4170 4171	isl_union_pw_multi_aff_list_free(data.contractions);4172 4173	return data.res;4174}4175 4176/* Do the nearest "n" ancestors of "node" have the types given in "types"4177 * (starting at the parent of "node")?4178 */4179static isl_bool has_ancestors(__isl_keep isl_schedule_node *node,4180	int n, enum isl_schedule_node_type *types)4181{4182	int i;4183	isl_size n_ancestor;4184 4185	if (!node)4186		return isl_bool_error;4187 4188	n_ancestor = isl_schedule_tree_list_n_schedule_tree(node->ancestors);4189	if (n_ancestor < 0)4190		return isl_bool_error;4191	if (n_ancestor < n)4192		return isl_bool_false;4193 4194	for (i = 0; i < n; ++i) {4195		isl_schedule_tree *tree;4196		int correct_type;4197 4198		tree = isl_schedule_tree_list_get_schedule_tree(node->ancestors,4199							    n_ancestor - 1 - i);4200		if (!tree)4201			return isl_bool_error;4202		correct_type = isl_schedule_tree_get_type(tree) == types[i];4203		isl_schedule_tree_free(tree);4204		if (!correct_type)4205			return isl_bool_false;4206	}4207 4208	return isl_bool_true;4209}4210 4211/* Given a node "node" that appears in an extension (i.e., it is the child4212 * of a filter in a sequence inside an extension node), are the spaces4213 * of the extension specified by "extension" disjoint from those4214 * of both the original extension and the domain elements that reach4215 * that original extension?4216 */4217static isl_bool is_disjoint_extension(__isl_keep isl_schedule_node *node,4218	__isl_keep isl_union_map *extension)4219{4220	isl_union_map *old;4221	isl_union_set *domain;4222	isl_bool empty;4223 4224	node = isl_schedule_node_copy(node);4225	node = isl_schedule_node_ancestor(node, 3);4226	old = isl_schedule_node_extension_get_extension(node);4227	domain = isl_schedule_node_get_universe_domain(node);4228	isl_schedule_node_free(node);4229	old = isl_union_map_universe(old);4230	domain = isl_union_set_union(domain, isl_union_map_range(old));4231	extension = isl_union_map_copy(extension);4232	extension = isl_union_map_intersect_range(extension, domain);4233	empty = isl_union_map_is_empty(extension);4234	isl_union_map_free(extension);4235 4236	return empty;4237}4238 4239/* Given a node "node" that is governed by an extension node, extend4240 * that extension node with "extension".4241 *4242 * In particular, "node" is the child of a filter in a sequence that4243 * is in turn a child of an extension node.  Extend that extension node4244 * with "extension".4245 *4246 * Return a pointer to the parent of the original node (i.e., a filter).4247 */4248static __isl_give isl_schedule_node *extend_extension(4249	__isl_take isl_schedule_node *node, __isl_take isl_union_map *extension)4250{4251	isl_size pos;4252	isl_bool disjoint;4253	isl_union_map *node_extension;4254 4255	node = isl_schedule_node_parent(node);4256	pos = isl_schedule_node_get_child_position(node);4257	if (pos < 0)4258		node = isl_schedule_node_free(node);4259	node = isl_schedule_node_grandparent(node);4260	node_extension = isl_schedule_node_extension_get_extension(node);4261	disjoint = isl_union_map_is_disjoint(extension, node_extension);4262	extension = isl_union_map_union(extension, node_extension);4263	node = isl_schedule_node_extension_set_extension(node, extension);4264	node = isl_schedule_node_grandchild(node, 0, pos);4265 4266	if (disjoint < 0)4267		return isl_schedule_node_free(node);4268	if (!node)4269		return NULL;4270	if (!disjoint)4271		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,4272			"extension domain should be disjoint from earlier "4273			"extensions", return isl_schedule_node_free(node));4274 4275	return node;4276}4277 4278/* Return the universe of "uset" if this universe is disjoint from "ref".4279 * Otherwise, return "uset".4280 *4281 * Also check if "uset" itself is disjoint from "ref", reporting4282 * an error if it is not.4283 */4284static __isl_give isl_union_set *replace_by_universe_if_disjoint(4285	__isl_take isl_union_set *uset, __isl_keep isl_union_set *ref)4286{4287	int disjoint;4288	isl_union_set *universe;4289 4290	disjoint = isl_union_set_is_disjoint(uset, ref);4291	if (disjoint < 0)4292		return isl_union_set_free(uset);4293	if (!disjoint)4294		isl_die(isl_union_set_get_ctx(uset), isl_error_invalid,4295			"extension domain should be disjoint from "4296			"current domain", return isl_union_set_free(uset));4297 4298	universe = isl_union_set_universe(isl_union_set_copy(uset));4299	disjoint = isl_union_set_is_disjoint(universe, ref);4300	if (disjoint >= 0 && disjoint) {4301		isl_union_set_free(uset);4302		return universe;4303	}4304	isl_union_set_free(universe);4305 4306	if (disjoint < 0)4307		return isl_union_set_free(uset);4308	return uset;4309}4310 4311/* Insert an extension node on top of "node" with extension "extension".4312 * In addition, insert a filter that separates node from the extension4313 * between the extension node and "node".4314 * Return a pointer to the inserted filter node.4315 *4316 * If "node" already appears in an extension (i.e., if it is the child4317 * of a filter in a sequence inside an extension node), then extend that4318 * extension with "extension" instead.4319 * In this case, a pointer to the original filter node is returned.4320 * Note that if some of the elements in the new extension live in the4321 * same space as those of the original extension or the domain elements4322 * reaching the original extension, then we insert a new extension anyway.4323 * Otherwise, we would have to adjust the filters in the sequence child4324 * of the extension to ensure that the elements in the new extension4325 * are filtered out.4326 */4327static __isl_give isl_schedule_node *insert_extension(4328	__isl_take isl_schedule_node *node, __isl_take isl_union_map *extension)4329{4330	enum isl_schedule_node_type ancestors[] =4331		{ isl_schedule_node_filter, isl_schedule_node_sequence,4332		  isl_schedule_node_extension };4333	isl_union_set *domain;4334	isl_union_set *filter;4335	isl_bool in_ext;4336 4337	in_ext = has_ancestors(node, 3, ancestors);4338	if (in_ext < 0)4339		goto error;4340	if (in_ext) {4341		isl_bool disjoint;4342 4343		disjoint = is_disjoint_extension(node, extension);4344		if (disjoint < 0)4345			goto error;4346		if (disjoint)4347			return extend_extension(node, extension);4348	}4349 4350	filter = isl_schedule_node_get_domain(node);4351	domain = isl_union_map_range(isl_union_map_copy(extension));4352	filter = replace_by_universe_if_disjoint(filter, domain);4353	isl_union_set_free(domain);4354 4355	node = isl_schedule_node_insert_filter(node, filter);4356	node = isl_schedule_node_insert_extension(node, extension);4357	node = isl_schedule_node_child(node, 0);4358	return node;4359error:4360	isl_schedule_node_free(node);4361	isl_union_map_free(extension);4362	return NULL;4363}4364 4365/* Replace the subtree that "node" points to by "tree" (which has4366 * a sequence root with two children), except if the parent of "node"4367 * is a sequence as well, in which case "tree" is spliced at the position4368 * of "node" in its parent.4369 * Return a pointer to the child of the "tree_pos" (filter) child of "tree"4370 * in the updated schedule tree.4371 */4372static __isl_give isl_schedule_node *graft_or_splice(4373	__isl_take isl_schedule_node *node, __isl_take isl_schedule_tree *tree,4374	int tree_pos)4375{4376	isl_size pos;4377 4378	if (isl_schedule_node_get_parent_type(node) ==4379	    isl_schedule_node_sequence) {4380		pos = isl_schedule_node_get_child_position(node);4381		if (pos < 0)4382			node = isl_schedule_node_free(node);4383		node = isl_schedule_node_parent(node);4384		node = isl_schedule_node_sequence_splice(node, pos, tree);4385	} else {4386		pos = 0;4387		node = isl_schedule_node_graft_tree(node, tree);4388	}4389	node = isl_schedule_node_grandchild(node, pos + tree_pos, 0);4390 4391	return node;4392}4393 4394/* Insert a node "graft" into the schedule tree of "node" such that it4395 * is executed before (if "before" is set) or after (if "before" is not set)4396 * the node that "node" points to.4397 * The root of "graft" is an extension node.4398 * Return a pointer to the node that "node" pointed to.4399 *4400 * We first insert an extension node on top of "node" (or extend4401 * the extension node if there already is one), with a filter on "node"4402 * separating it from the extension.4403 * We then insert a filter in the graft to separate it from the original4404 * domain elements and combine the original and new tree in a sequence.4405 * If we have extended an extension node, then the children of this4406 * sequence are spliced in the sequence of the extended extension4407 * at the position where "node" appears in the original extension.4408 * Otherwise, the sequence pair is attached to the new extension node.4409 */4410static __isl_give isl_schedule_node *graft_extension(4411	__isl_take isl_schedule_node *node, __isl_take isl_schedule_node *graft,4412	int before)4413{4414	isl_union_map *extension;4415	isl_union_set *graft_domain;4416	isl_union_set *node_domain;4417	isl_schedule_tree *tree, *tree_graft;4418 4419	extension = isl_schedule_node_extension_get_extension(graft);4420	graft_domain = isl_union_map_range(isl_union_map_copy(extension));4421	node_domain = isl_schedule_node_get_universe_domain(node);4422	node = insert_extension(node, extension);4423 4424	graft_domain = replace_by_universe_if_disjoint(graft_domain,4425							node_domain);4426	isl_union_set_free(node_domain);4427 4428	tree = isl_schedule_node_get_tree(node);4429	if (!isl_schedule_node_has_children(graft)) {4430		tree_graft = isl_schedule_tree_from_filter(graft_domain);4431	} else {4432		graft = isl_schedule_node_child(graft, 0);4433		tree_graft = isl_schedule_node_get_tree(graft);4434		tree_graft = isl_schedule_tree_insert_filter(tree_graft,4435								graft_domain);4436	}4437	if (before)4438		tree = isl_schedule_tree_sequence_pair(tree_graft, tree);4439	else4440		tree = isl_schedule_tree_sequence_pair(tree, tree_graft);4441	node = graft_or_splice(node, tree, before);4442 4443	isl_schedule_node_free(graft);4444 4445	return node;4446}4447 4448/* Replace the root domain node of "node" by an extension node suitable4449 * for insertion at "pos".4450 * That is, create an extension node that maps the outer band nodes4451 * at "pos" to the domain of the root node of "node" and attach4452 * the child of this root node to the extension node.4453 */4454static __isl_give isl_schedule_node *extension_from_domain(4455	__isl_take isl_schedule_node *node, __isl_keep isl_schedule_node *pos)4456{4457	isl_union_set *universe;4458	isl_union_set *domain;4459	isl_union_map *ext;4460	isl_size depth;4461	isl_bool anchored;4462	isl_space *space;4463	isl_schedule_node *res;4464	isl_schedule_tree *tree;4465 4466	depth = isl_schedule_node_get_schedule_depth(pos);4467	anchored = isl_schedule_node_is_subtree_anchored(node);4468	if (depth < 0 || anchored < 0)4469		return isl_schedule_node_free(node);4470	if (anchored)4471		isl_die(isl_schedule_node_get_ctx(node), isl_error_unsupported,4472			"cannot graft anchored tree with domain root",4473			return isl_schedule_node_free(node));4474 4475	domain = isl_schedule_node_domain_get_domain(node);4476	space = isl_union_set_get_space(domain);4477	space = isl_space_set_from_params(space);4478	space = isl_space_add_dims(space, isl_dim_set, depth);4479	universe = isl_union_set_from_set(isl_set_universe(space));4480	ext = isl_union_map_from_domain_and_range(universe, domain);4481	res = isl_schedule_node_from_extension(ext);4482	node = isl_schedule_node_child(node, 0);4483	if (!node)4484		return isl_schedule_node_free(res);4485	if (!isl_schedule_tree_is_leaf(node->tree)) {4486		tree = isl_schedule_node_get_tree(node);4487		res = isl_schedule_node_child(res, 0);4488		res = isl_schedule_node_graft_tree(res, tree);4489		res = isl_schedule_node_parent(res);4490	}4491	isl_schedule_node_free(node);4492 4493	return res;4494}4495 4496/* Insert a node "graft" into the schedule tree of "node" such that it4497 * is executed before (if "before" is set) or after (if "before" is not set)4498 * the node that "node" points to.4499 * The root of "graft" may be either a domain or an extension node.4500 * In the latter case, the domain of the extension needs to correspond4501 * to the outer band nodes of "node".4502 * The elements of the domain or the range of the extension may not4503 * intersect with the domain elements that reach "node".4504 * The schedule tree of "graft" may not be anchored.4505 *4506 * The schedule tree of "node" is modified to include an extension node4507 * corresponding to the root node of "graft" as a child of the original4508 * parent of "node".  The original node that "node" points to and the4509 * child of the root node of "graft" are attached to this extension node4510 * through a sequence, with appropriate filters and with the child4511 * of "graft" appearing before or after the original "node".4512 *4513 * If "node" already appears inside a sequence that is the child of4514 * an extension node and if the spaces of the new domain elements4515 * do not overlap with those of the original domain elements,4516 * then that extension node is extended with the new extension4517 * rather than introducing a new segment of extension and sequence nodes.4518 *4519 * Return a pointer to the same node in the modified tree that4520 * "node" pointed to in the original tree.4521 */4522static __isl_give isl_schedule_node *isl_schedule_node_graft_before_or_after(4523	__isl_take isl_schedule_node *node, __isl_take isl_schedule_node *graft,4524	int before)4525{4526	if (!node || !graft)4527		goto error;4528	if (check_insert(node) < 0)4529		goto error;4530 4531	if (isl_schedule_node_get_type(graft) == isl_schedule_node_domain)4532		graft = extension_from_domain(graft, node);4533 4534	if (!graft)4535		goto error;4536	if (isl_schedule_node_get_type(graft) != isl_schedule_node_extension)4537		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,4538			"expecting domain or extension as root of graft",4539			goto error);4540 4541	return graft_extension(node, graft, before);4542error:4543	isl_schedule_node_free(node);4544	isl_schedule_node_free(graft);4545	return NULL;4546}4547 4548/* Insert a node "graft" into the schedule tree of "node" such that it4549 * is executed before the node that "node" points to.4550 * The root of "graft" may be either a domain or an extension node.4551 * In the latter case, the domain of the extension needs to correspond4552 * to the outer band nodes of "node".4553 * The elements of the domain or the range of the extension may not4554 * intersect with the domain elements that reach "node".4555 * The schedule tree of "graft" may not be anchored.4556 *4557 * Return a pointer to the same node in the modified tree that4558 * "node" pointed to in the original tree.4559 */4560__isl_give isl_schedule_node *isl_schedule_node_graft_before(4561	__isl_take isl_schedule_node *node, __isl_take isl_schedule_node *graft)4562{4563	return isl_schedule_node_graft_before_or_after(node, graft, 1);4564}4565 4566/* Insert a node "graft" into the schedule tree of "node" such that it4567 * is executed after the node that "node" points to.4568 * The root of "graft" may be either a domain or an extension node.4569 * In the latter case, the domain of the extension needs to correspond4570 * to the outer band nodes of "node".4571 * The elements of the domain or the range of the extension may not4572 * intersect with the domain elements that reach "node".4573 * The schedule tree of "graft" may not be anchored.4574 *4575 * Return a pointer to the same node in the modified tree that4576 * "node" pointed to in the original tree.4577 */4578__isl_give isl_schedule_node *isl_schedule_node_graft_after(4579	__isl_take isl_schedule_node *node,4580	__isl_take isl_schedule_node *graft)4581{4582	return isl_schedule_node_graft_before_or_after(node, graft, 0);4583}4584 4585/* Split the domain elements that reach "node" into those that satisfy4586 * "filter" and those that do not.  Arrange for the first subset to be4587 * executed before or after the second subset, depending on the value4588 * of "before".4589 * Return a pointer to the tree corresponding to the second subset,4590 * except when this subset is empty in which case the original pointer4591 * is returned.4592 * If both subsets are non-empty, then a sequence node is introduced4593 * to impose the order.  If the grandparent of the original node was4594 * itself a sequence, then the original child is replaced by two children4595 * in this sequence instead.4596 * The children in the sequence are copies of the original subtree,4597 * simplified with respect to their filters.4598 */4599static __isl_give isl_schedule_node *isl_schedule_node_order_before_or_after(4600	__isl_take isl_schedule_node *node, __isl_take isl_union_set *filter,4601	int before)4602{4603	enum isl_schedule_node_type ancestors[] =4604		{ isl_schedule_node_filter, isl_schedule_node_sequence };4605	isl_union_set *node_domain, *node_filter = NULL, *parent_filter;4606	isl_schedule_node *node2;4607	isl_schedule_tree *tree1, *tree2;4608	isl_bool empty1, empty2;4609	isl_bool in_seq;4610 4611	if (!node || !filter)4612		goto error;4613	if (check_insert(node) < 0)4614		goto error;4615 4616	in_seq = has_ancestors(node, 2, ancestors);4617	if (in_seq < 0)4618		goto error;4619	node_domain = isl_schedule_node_get_domain(node);4620	filter = isl_union_set_gist(filter, isl_union_set_copy(node_domain));4621	node_filter = isl_union_set_copy(node_domain);4622	node_filter = isl_union_set_subtract(node_filter,4623						isl_union_set_copy(filter));4624	node_filter = isl_union_set_gist(node_filter, node_domain);4625	empty1 = isl_union_set_is_empty(filter);4626	empty2 = isl_union_set_is_empty(node_filter);4627	if (empty1 < 0 || empty2 < 0)4628		goto error;4629	if (empty1 || empty2) {4630		isl_union_set_free(filter);4631		isl_union_set_free(node_filter);4632		return node;4633	}4634 4635	if (in_seq) {4636		node = isl_schedule_node_parent(node);4637		parent_filter = isl_schedule_node_filter_get_filter(node);4638		node_filter = isl_union_set_intersect(node_filter,4639					    isl_union_set_copy(parent_filter));4640		filter = isl_union_set_intersect(filter, parent_filter);4641	}4642 4643	node2 = isl_schedule_node_copy(node);4644	node = isl_schedule_node_gist(node, isl_union_set_copy(node_filter));4645	node2 = isl_schedule_node_gist(node2, isl_union_set_copy(filter));4646	tree1 = isl_schedule_node_get_tree(node);4647	tree2 = isl_schedule_node_get_tree(node2);4648	tree1 = isl_schedule_tree_insert_filter(tree1, node_filter);4649	tree2 = isl_schedule_tree_insert_filter(tree2, filter);4650	isl_schedule_node_free(node2);4651 4652	if (before) {4653		tree1 = isl_schedule_tree_sequence_pair(tree2, tree1);4654		node = graft_or_splice(node, tree1, 1);4655	} else {4656		tree1 = isl_schedule_tree_sequence_pair(tree1, tree2);4657		node = graft_or_splice(node, tree1, 0);4658	}4659 4660	return node;4661error:4662	isl_schedule_node_free(node);4663	isl_union_set_free(filter);4664	isl_union_set_free(node_filter);4665	return NULL;4666}4667 4668/* Split the domain elements that reach "node" into those that satisfy4669 * "filter" and those that do not.  Arrange for the first subset to be4670 * executed before the second subset.4671 * Return a pointer to the tree corresponding to the second subset,4672 * except when this subset is empty in which case the original pointer4673 * is returned.4674 */4675__isl_give isl_schedule_node *isl_schedule_node_order_before(4676	__isl_take isl_schedule_node *node, __isl_take isl_union_set *filter)4677{4678	return isl_schedule_node_order_before_or_after(node, filter, 1);4679}4680 4681/* Split the domain elements that reach "node" into those that satisfy4682 * "filter" and those that do not.  Arrange for the first subset to be4683 * executed after the second subset.4684 * Return a pointer to the tree corresponding to the second subset,4685 * except when this subset is empty in which case the original pointer4686 * is returned.4687 */4688__isl_give isl_schedule_node *isl_schedule_node_order_after(4689	__isl_take isl_schedule_node *node, __isl_take isl_union_set *filter)4690{4691	return isl_schedule_node_order_before_or_after(node, filter, 0);4692}4693 4694/* Reset the user pointer on all identifiers of parameters and tuples4695 * in the schedule node "node".4696 */4697__isl_give isl_schedule_node *isl_schedule_node_reset_user(4698	__isl_take isl_schedule_node *node)4699{4700	isl_schedule_tree *tree;4701 4702	tree = isl_schedule_node_get_tree(node);4703	tree = isl_schedule_tree_reset_user(tree);4704	node = isl_schedule_node_graft_tree(node, tree);4705 4706	return node;4707}4708 4709/* Align the parameters of the schedule node "node" to those of "space".4710 */4711__isl_give isl_schedule_node *isl_schedule_node_align_params(4712	__isl_take isl_schedule_node *node, __isl_take isl_space *space)4713{4714	isl_schedule_tree *tree;4715 4716	tree = isl_schedule_node_get_tree(node);4717	tree = isl_schedule_tree_align_params(tree, space);4718	node = isl_schedule_node_graft_tree(node, tree);4719 4720	return node;4721}4722 4723/* Compute the pullback of schedule node "node"4724 * by the function represented by "upma".4725 * In other words, plug in "upma" in the iteration domains4726 * of schedule node "node".4727 * We currently do not handle expansion nodes.4728 *4729 * Note that this is only a helper function for4730 * isl_schedule_pullback_union_pw_multi_aff.  In order to maintain consistency,4731 * this function should not be called on a single node without also4732 * calling it on all the other nodes.4733 */4734__isl_give isl_schedule_node *isl_schedule_node_pullback_union_pw_multi_aff(4735	__isl_take isl_schedule_node *node,4736	__isl_take isl_union_pw_multi_aff *upma)4737{4738	isl_schedule_tree *tree;4739 4740	tree = isl_schedule_node_get_tree(node);4741	tree = isl_schedule_tree_pullback_union_pw_multi_aff(tree, upma);4742	node = isl_schedule_node_graft_tree(node, tree);4743 4744	return node;4745}4746 4747/* Internal data structure for isl_schedule_node_expand.4748 * "tree" is the tree that needs to be plugged in in all the leaves.4749 * "domain" is the set of domain elements in the original leaves4750 * to which the tree applies.4751 */4752struct isl_schedule_expand_data {4753	isl_schedule_tree *tree;4754	isl_union_set *domain;4755};4756 4757/* If "node" is a leaf, then plug in data->tree, simplifying it4758 * within its new context.4759 *4760 * If there are any domain elements at the leaf where the tree4761 * should not be plugged in (i.e., there are elements not in data->domain)4762 * then first extend the tree to only apply to the elements in data->domain4763 * by constructing a set node that selects data->tree for elements4764 * in data->domain and a leaf for the other elements.4765 */4766static __isl_give isl_schedule_node *expand(__isl_take isl_schedule_node *node,4767	void *user)4768{4769	struct isl_schedule_expand_data *data = user;4770	isl_schedule_tree *tree, *leaf;4771	isl_union_set *domain, *left;4772	isl_bool empty;4773 4774	if (isl_schedule_node_get_type(node) != isl_schedule_node_leaf)4775		return node;4776 4777	domain = isl_schedule_node_get_domain(node);4778	tree = isl_schedule_tree_copy(data->tree);4779 4780	left = isl_union_set_copy(domain);4781	left = isl_union_set_subtract(left, isl_union_set_copy(data->domain));4782	empty = isl_union_set_is_empty(left);4783	if (empty >= 0 && !empty) {4784		leaf = isl_schedule_node_get_leaf(node);4785		leaf = isl_schedule_tree_insert_filter(leaf, left);4786		left = isl_union_set_copy(data->domain);4787		tree = isl_schedule_tree_insert_filter(tree, left);4788		tree = isl_schedule_tree_set_pair(tree, leaf);4789	} else {4790		if (empty < 0)4791			node = isl_schedule_node_free(node);4792		isl_union_set_free(left);4793	}4794 4795	node = isl_schedule_node_graft_tree(node, tree);4796	node = isl_schedule_node_gist(node, domain);4797 4798	return node;4799}4800 4801/* Expand the tree rooted at "node" by extending all leaves4802 * with an expansion node with as child "tree".4803 * The expansion is determined by "contraction" and "domain".4804 * That is, the elements of "domain" are contracted according4805 * to "contraction".  The expansion relation is then the inverse4806 * of "contraction" with its range intersected with "domain".4807 *4808 * Insert the appropriate expansion node on top of "tree" and4809 * then plug in the result in all leaves of "node".4810 */4811__isl_give isl_schedule_node *isl_schedule_node_expand(4812	__isl_take isl_schedule_node *node,4813	__isl_take isl_union_pw_multi_aff *contraction,4814	__isl_take isl_union_set *domain,4815	__isl_take isl_schedule_tree *tree)4816{4817	struct isl_schedule_expand_data data;4818	isl_union_map *expansion;4819	isl_union_pw_multi_aff *copy;4820 4821	if (!node || !contraction || !tree)4822		node = isl_schedule_node_free(node);4823 4824	copy = isl_union_pw_multi_aff_copy(contraction);4825	expansion = isl_union_map_from_union_pw_multi_aff(copy);4826	expansion = isl_union_map_reverse(expansion);4827	expansion = isl_union_map_intersect_range(expansion, domain);4828	data.domain = isl_union_map_domain(isl_union_map_copy(expansion));4829 4830	tree = isl_schedule_tree_insert_expansion(tree, contraction, expansion);4831	data.tree = tree;4832 4833	node = isl_schedule_node_map_descendant_bottom_up(node, &expand, &data);4834	isl_union_set_free(data.domain);4835	isl_schedule_tree_free(data.tree);4836	return node;4837}4838 4839/* Return the position of the subtree containing "node" among the children4840 * of "ancestor".  "node" is assumed to be a descendant of "ancestor".4841 * In particular, both nodes should point to the same schedule tree.4842 *4843 * Return isl_size_error on error.4844 */4845isl_size isl_schedule_node_get_ancestor_child_position(4846	__isl_keep isl_schedule_node *node,4847	__isl_keep isl_schedule_node *ancestor)4848{4849	isl_size n1, n2;4850	isl_schedule_tree *tree;4851 4852	n1 = isl_schedule_node_get_tree_depth(ancestor);4853	n2 = isl_schedule_node_get_tree_depth(node);4854	if (n1 < 0 || n2 < 0)4855		return isl_size_error;4856 4857	if (node->schedule != ancestor->schedule)4858		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,4859			"not a descendant", return isl_size_error);4860 4861	if (n1 >= n2)4862		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,4863			"not a descendant", return isl_size_error);4864	tree = isl_schedule_tree_list_get_schedule_tree(node->ancestors, n1);4865	isl_schedule_tree_free(tree);4866	if (tree != ancestor->tree)4867		isl_die(isl_schedule_node_get_ctx(node), isl_error_invalid,4868			"not a descendant", return isl_size_error);4869 4870	return node->child_pos[n1];4871}4872 4873/* Given two nodes that point to the same schedule tree, return their4874 * closest shared ancestor.4875 *4876 * Since the two nodes point to the same schedule, they share at least4877 * one ancestor, the root of the schedule.  We move down from the root4878 * to the first ancestor where the respective children have a different4879 * child position.  This is the requested ancestor.4880 * If there is no ancestor where the children have a different position,4881 * then one node is an ancestor of the other and then this node is4882 * the requested ancestor.4883 */4884__isl_give isl_schedule_node *isl_schedule_node_get_shared_ancestor(4885	__isl_keep isl_schedule_node *node1,4886	__isl_keep isl_schedule_node *node2)4887{4888	int i;4889	isl_size n1, n2;4890 4891	n1 = isl_schedule_node_get_tree_depth(node1);4892	n2 = isl_schedule_node_get_tree_depth(node2);4893	if (n1 < 0 || n2 < 0)4894		return NULL;4895	if (node1->schedule != node2->schedule)4896		isl_die(isl_schedule_node_get_ctx(node1), isl_error_invalid,4897			"not part of same schedule", return NULL);4898	if (n2 < n1)4899		return isl_schedule_node_get_shared_ancestor(node2, node1);4900	if (n1 == 0)4901		return isl_schedule_node_copy(node1);4902	if (isl_schedule_node_is_equal(node1, node2))4903		return isl_schedule_node_copy(node1);4904 4905	for (i = 0; i < n1; ++i)4906		if (node1->child_pos[i] != node2->child_pos[i])4907			break;4908 4909	node1 = isl_schedule_node_copy(node1);4910	return isl_schedule_node_ancestor(node1, n1 - i);4911}4912 4913/* Print "node" to "p".4914 */4915__isl_give isl_printer *isl_printer_print_schedule_node(4916	__isl_take isl_printer *p, __isl_keep isl_schedule_node *node)4917{4918	isl_size n;4919 4920	if (!node)4921		return isl_printer_free(p);4922	n = isl_schedule_tree_list_n_schedule_tree(node->ancestors);4923	if (n < 0)4924		return isl_printer_free(p);4925	return isl_printer_print_schedule_tree_mark(p, node->schedule->root, n,4926			node->child_pos);4927}4928 4929void isl_schedule_node_dump(__isl_keep isl_schedule_node *node)4930{4931	isl_ctx *ctx;4932	isl_printer *printer;4933 4934	if (!node)4935		return;4936 4937	ctx = isl_schedule_node_get_ctx(node);4938	printer = isl_printer_to_file(ctx, stderr);4939	printer = isl_printer_set_yaml_style(printer, ISL_YAML_STYLE_BLOCK);4940	printer = isl_printer_print_schedule_node(printer, node);4941 4942	isl_printer_free(printer);4943}4944 4945/* Return a string representation of "node".4946 * Print the schedule node in block format as it would otherwise4947 * look identical to the entire schedule.4948 */4949__isl_give char *isl_schedule_node_to_str(__isl_keep isl_schedule_node *node)4950{4951	isl_printer *printer;4952	char *s;4953 4954	if (!node)4955		return NULL;4956 4957	printer = isl_printer_to_str(isl_schedule_node_get_ctx(node));4958	printer = isl_printer_set_yaml_style(printer, ISL_YAML_STYLE_BLOCK);4959	printer = isl_printer_print_schedule_node(printer, node);4960	s = isl_printer_get_str(printer);4961	isl_printer_free(printer);4962 4963	return s;4964}4965