llvm/polly/lib/External/isl/isl_ast_build.c

/*
 * Copyright 2012-2013 Ecole Normale Superieure
 * Copyright 2014      INRIA Rocquencourt
 *
 * Use of this software is governed by the MIT license
 *
 * Written by Sven Verdoolaege,
 * Ecole Normale Superieure, 45 rue d’Ulm, 75230 Paris, France
 * and Inria Paris - Rocquencourt, Domaine de Voluceau - Rocquencourt,
 * B.P. 105 - 78153 Le Chesnay, France
 */

#include <isl/id.h>
#include <isl/val.h>
#include <isl/space.h>
#include <isl/map.h>
#include <isl/aff.h>
#include <isl/constraint.h>
#include <isl/map.h>
#include <isl/union_set.h>
#include <isl/union_map.h>
#include <isl_ast_build_private.h>
#include <isl_ast_private.h>
#include <isl_config.h>

/* Construct a map that isolates the current dimension.
 *
 * Essentially, the current dimension of "set" is moved to the single output
 * dimension in the result, with the current dimension in the domain replaced
 * by an unconstrained variable.
 */
__isl_give isl_map *isl_ast_build_map_to_iterator(
	__isl_keep isl_ast_build *build, __isl_take isl_set *set)
{}

/* Initialize the information derived during the AST generation to default
 * values for a schedule domain in "space".
 *
 * We also check that the remaining fields are not NULL so that
 * the calling functions don't have to perform this test.
 */
static __isl_give isl_ast_build *isl_ast_build_init_derived(
	__isl_take isl_ast_build *build, __isl_take isl_space *space)
{}

/* Return an isl_id called "c%d", with "%d" set to "i".
 * If an isl_id with such a name already appears among the parameters
 * in build->domain, then adjust the name to "c%d_%d".
 */
static __isl_give isl_id *generate_name(isl_ctx *ctx, int i,
	__isl_keep isl_ast_build *build)
{}

/* Create an isl_ast_build with "set" as domain.
 *
 * The input set is usually a parameter domain, but we currently allow it to
 * be any kind of set.  We set the domain of the returned isl_ast_build
 * to "set" and initialize all the other fields to default values.
 */
__isl_give isl_ast_build *isl_ast_build_from_context(__isl_take isl_set *set)
{}

/* Create an isl_ast_build with a universe (parametric) context.
 */
__isl_give isl_ast_build *isl_ast_build_alloc(isl_ctx *ctx)
{}

__isl_give isl_ast_build *isl_ast_build_copy(__isl_keep isl_ast_build *build)
{}

__isl_give isl_ast_build *isl_ast_build_dup(__isl_keep isl_ast_build *build)
{}

/* Align the parameters of "build" to those of "model", introducing
 * additional parameters if needed.
 */
__isl_give isl_ast_build *isl_ast_build_align_params(
	__isl_take isl_ast_build *build, __isl_take isl_space *model)
{}

__isl_give isl_ast_build *isl_ast_build_cow(__isl_take isl_ast_build *build)
{}

__isl_null isl_ast_build *isl_ast_build_free(
	__isl_take isl_ast_build *build)
{}

isl_ctx *isl_ast_build_get_ctx(__isl_keep isl_ast_build *build)
{}

/* Replace build->options by "options".
 */
__isl_give isl_ast_build *isl_ast_build_set_options(
	__isl_take isl_ast_build *build, __isl_take isl_union_map *options)
{}

/* Set the iterators for the next code generation.
 *
 * If we still have some iterators left from the previous code generation
 * (if any) or if iterators have already been set by a previous
 * call to this function, then we remove them first.
 */
__isl_give isl_ast_build *isl_ast_build_set_iterators(
	__isl_take isl_ast_build *build, __isl_take isl_id_list *iterators)
{}

/* Set the "at_each_domain" callback of "build" to "fn".
 */
__isl_give isl_ast_build *isl_ast_build_set_at_each_domain(
	__isl_take isl_ast_build *build,
	__isl_give isl_ast_node *(*fn)(__isl_take isl_ast_node *node,
		__isl_keep isl_ast_build *build, void *user), void *user)
{}

/* Set the "before_each_for" callback of "build" to "fn".
 */
__isl_give isl_ast_build *isl_ast_build_set_before_each_for(
	__isl_take isl_ast_build *build,
	__isl_give isl_id *(*fn)(__isl_keep isl_ast_build *build,
		void *user), void *user)
{}

/* Set the "after_each_for" callback of "build" to "fn".
 */
__isl_give isl_ast_build *isl_ast_build_set_after_each_for(
	__isl_take isl_ast_build *build,
	__isl_give isl_ast_node *(*fn)(__isl_take isl_ast_node *node,
		__isl_keep isl_ast_build *build, void *user), void *user)
{}

/* Set the "before_each_mark" callback of "build" to "fn".
 */
__isl_give isl_ast_build *isl_ast_build_set_before_each_mark(
	__isl_take isl_ast_build *build,
	isl_stat (*fn)(__isl_keep isl_id *mark, __isl_keep isl_ast_build *build,
		void *user), void *user)
{}

/* Set the "after_each_mark" callback of "build" to "fn".
 */
__isl_give isl_ast_build *isl_ast_build_set_after_each_mark(
	__isl_take isl_ast_build *build,
	__isl_give isl_ast_node *(*fn)(__isl_take isl_ast_node *node,
		__isl_keep isl_ast_build *build, void *user), void *user)
{}

/* Set the "create_leaf" callback of "build" to "fn".
 */
__isl_give isl_ast_build *isl_ast_build_set_create_leaf(
	__isl_take isl_ast_build *build,
	__isl_give isl_ast_node *(*fn)(__isl_take isl_ast_build *build,
		void *user), void *user)
{}

/* Clear all information that is specific to this code generation
 * and that is (probably) not meaningful to any nested code generation.
 */
__isl_give isl_ast_build *isl_ast_build_clear_local_info(
	__isl_take isl_ast_build *build)
{}

/* Have any loops been eliminated?
 * That is, do any of the original schedule dimensions have a fixed
 * value that has been substituted?
 */
static int any_eliminated(isl_ast_build *build)
{}

/* Clear build->schedule_map.
 * This function should be called whenever anything that might affect
 * the result of isl_ast_build_get_schedule_map_multi_aff changes.
 * In particular, it should be called when the depth is changed or
 * when an iterator is determined to have a fixed value.
 */
static void isl_ast_build_reset_schedule_map(__isl_keep isl_ast_build *build)
{}

/* Do we need a (non-trivial) schedule map?
 * That is, is the internal schedule space different from
 * the external schedule space?
 *
 * The internal and external schedule spaces are only the same
 * if code has been generated for the entire schedule and if none
 * of the loops have been eliminated.
 */
isl_bool isl_ast_build_need_schedule_map(__isl_keep isl_ast_build *build)
{}

/* Return a mapping from the internal schedule space to the external
 * schedule space in the form of an isl_multi_aff.
 * The internal schedule space originally corresponds to that of the
 * input schedule.  This may change during the code generation if
 * if isl_ast_build_insert_dim is ever called.
 * The external schedule space corresponds to the
 * loops that have been generated.
 *
 * Currently, the only difference between the internal schedule domain
 * and the external schedule domain is that some dimensions are projected
 * out in the external schedule domain.  In particular, the dimensions
 * for which no code has been generated yet and the dimensions that correspond
 * to eliminated loops.
 *
 * We cache a copy of the schedule_map in build->schedule_map.
 * The cache is cleared through isl_ast_build_reset_schedule_map
 * whenever anything changes that might affect the result of this function.
 */
__isl_give isl_multi_aff *isl_ast_build_get_schedule_map_multi_aff(
	__isl_keep isl_ast_build *build)
{}

/* Return a mapping from the internal schedule space to the external
 * schedule space in the form of an isl_map.
 */
__isl_give isl_map *isl_ast_build_get_schedule_map(
	__isl_keep isl_ast_build *build)
{}

/* Return the position of the dimension in build->domain for which
 * an AST node is currently being generated.
 */
isl_size isl_ast_build_get_depth(__isl_keep isl_ast_build *build)
{}

/* Prepare for generating code for the next level.
 * In particular, increase the depth and reset any information
 * that is local to the current depth.
 */
__isl_give isl_ast_build *isl_ast_build_increase_depth(
	__isl_take isl_ast_build *build)
{}

void isl_ast_build_dump(__isl_keep isl_ast_build *build)
{}

/* Initialize "build" for AST construction in schedule space "space"
 * in the case that build->domain is a parameter set.
 *
 * build->iterators is assumed to have been updated already.
 */
static __isl_give isl_ast_build *isl_ast_build_init(
	__isl_take isl_ast_build *build, __isl_take isl_space *space)
{}

/* Assign "aff" to *user and return -1, effectively extracting
 * the first (and presumably only) affine expression in the isl_pw_aff
 * on which this function is used.
 */
static isl_stat extract_single_piece(__isl_take isl_set *set,
	__isl_take isl_aff *aff, void *user)
{}

/* Intersect "set" with the stride constraint of "build", if any.
 */
static __isl_give isl_set *intersect_stride_constraint(__isl_take isl_set *set,
	__isl_keep isl_ast_build *build)
{}

/* Check if the given bounds on the current dimension (together with
 * the stride constraint, if any) imply that
 * this current dimension attains only a single value (in terms of
 * parameters and outer dimensions).
 * If so, we record it in build->value.
 * If, moreover, this value can be represented as a single affine expression,
 * then we also update build->values, effectively marking the current
 * dimension as "eliminated".
 *
 * When computing the gist of the fixed value that can be represented
 * as a single affine expression, it is important to only take into
 * account the domain constraints in the original AST build and
 * not the domain of the affine expression itself.
 * Otherwise, a [i/3] is changed into a i/3 because we know that i
 * is a multiple of 3, but then we end up not expressing anywhere
 * in the context that i is a multiple of 3.
 */
static __isl_give isl_ast_build *update_values(
	__isl_take isl_ast_build *build, __isl_take isl_basic_set *bounds)
{}

/* Update the AST build based on the given loop bounds for
 * the current dimension and the stride information available in the build.
 *
 * We first make sure that the bounds do not refer to any iterators
 * that have already been eliminated.
 * Then, we check if the bounds imply that the current iterator
 * has a fixed value.
 * If they do and if this fixed value can be expressed as a single
 * affine expression, we eliminate the iterators from the bounds.
 * Note that we cannot simply plug in this single value using
 * isl_basic_set_preimage_multi_aff as the single value may only
 * be defined on a subset of the domain.  Plugging in the value
 * would restrict the build domain to this subset, while this
 * restriction may not be reflected in the generated code.
 * Finally, we intersect build->domain with the updated bounds.
 * We also add the stride constraint unless we have been able
 * to find a fixed value expressed as a single affine expression.
 *
 * Note that the check for a fixed value in update_values requires
 * us to intersect the bounds with the current build domain.
 * When we intersect build->domain with the updated bounds in
 * the final step, we make sure that these updated bounds have
 * not been intersected with the old build->domain.
 * Otherwise, we would indirectly intersect the build domain with itself,
 * which can lead to inefficiencies, in particular if the build domain
 * contains any unknown divs.
 *
 * The pending and generated sets are not updated by this function to
 * match the updated domain.
 * The caller still needs to call isl_ast_build_set_pending_generated.
 */
__isl_give isl_ast_build *isl_ast_build_set_loop_bounds(
	__isl_take isl_ast_build *build, __isl_take isl_basic_set *bounds)
{}

/* Update the pending and generated sets of "build" according to "bounds".
 * If the build has an affine value at the current depth,
 * then isl_ast_build_set_loop_bounds has already set the pending set.
 * Otherwise, do it here.
 */
__isl_give isl_ast_build *isl_ast_build_set_pending_generated(
	__isl_take isl_ast_build *build, __isl_take isl_basic_set *bounds)
{}

/* Intersect build->domain with "set", where "set" is specified
 * in terms of the internal schedule domain.
 */
static __isl_give isl_ast_build *isl_ast_build_restrict_internal(
	__isl_take isl_ast_build *build, __isl_take isl_set *set)
{}

/* Intersect build->generated and build->domain with "set",
 * where "set" is specified in terms of the internal schedule domain.
 */
__isl_give isl_ast_build *isl_ast_build_restrict_generated(
	__isl_take isl_ast_build *build, __isl_take isl_set *set)
{}

/* Replace the set of pending constraints by "guard", which is then
 * no longer considered as pending.
 * That is, add "guard" to the generated constraints and clear all pending
 * constraints, making the domain equal to the generated constraints.
 */
__isl_give isl_ast_build *isl_ast_build_replace_pending_by_guard(
	__isl_take isl_ast_build *build, __isl_take isl_set *guard)
{}

/* Intersect build->domain with "set", where "set" is specified
 * in terms of the external schedule domain.
 */
__isl_give isl_ast_build *isl_ast_build_restrict(
	__isl_take isl_ast_build *build, __isl_take isl_set *set)
{}

/* Replace build->executed by "executed".
 */
__isl_give isl_ast_build *isl_ast_build_set_executed(
	__isl_take isl_ast_build *build, __isl_take isl_union_map *executed)
{}

/* Does "build" point to a band node?
 * That is, are we currently handling a band node inside a schedule tree?
 */
int isl_ast_build_has_schedule_node(__isl_keep isl_ast_build *build)
{}

/* Return a copy of the band node that "build" refers to.
 */
__isl_give isl_schedule_node *isl_ast_build_get_schedule_node(
	__isl_keep isl_ast_build *build)
{}

/* Extract the loop AST generation types for the members of build->node
 * and store them in build->loop_type.
 */
static __isl_give isl_ast_build *extract_loop_types(
	__isl_take isl_ast_build *build)
{}

/* Replace the band node that "build" refers to by "node" and
 * extract the corresponding loop AST generation types.
 */
__isl_give isl_ast_build *isl_ast_build_set_schedule_node(
	__isl_take isl_ast_build *build,
	__isl_take isl_schedule_node *node)
{}

/* Remove any reference to a band node from "build".
 */
__isl_give isl_ast_build *isl_ast_build_reset_schedule_node(
	__isl_take isl_ast_build *build)
{}

/* Return a copy of the current schedule domain.
 */
__isl_give isl_set *isl_ast_build_get_domain(__isl_keep isl_ast_build *build)
{}

/* Return a copy of the set of pending constraints.
 */
__isl_give isl_set *isl_ast_build_get_pending(
	__isl_keep isl_ast_build *build)
{}

/* Return a copy of the set of generated constraints.
 */
__isl_give isl_set *isl_ast_build_get_generated(
	__isl_keep isl_ast_build *build)
{}

/* Return a copy of the map from the internal schedule domain
 * to the original input schedule domain.
 */
__isl_give isl_multi_aff *isl_ast_build_get_internal2input(
	__isl_keep isl_ast_build *build)
{}

/* Return the number of variables of the given type
 * in the (internal) schedule space.
 */
isl_size isl_ast_build_dim(__isl_keep isl_ast_build *build,
	enum isl_dim_type type)
{}

/* Return the (schedule) space of "build".
 *
 * If "internal" is set, then this space is the space of the internal
 * representation of the entire schedule, including those parts for
 * which no code has been generated yet.
 *
 * If "internal" is not set, then this space is the external representation
 * of the loops generated so far.
 */
__isl_give isl_space *isl_ast_build_get_space(__isl_keep isl_ast_build *build,
	int internal)
{}

/* Return the external representation of the schedule space of "build",
 * i.e., a space with a dimension for each loop generated so far,
 * with the names of the dimensions set to the loop iterators.
 */
__isl_give isl_space *isl_ast_build_get_schedule_space(
	__isl_keep isl_ast_build *build)
{}

/* Return the current schedule, as stored in build->executed, in terms
 * of the external schedule domain.
 */
__isl_give isl_union_map *isl_ast_build_get_schedule(
	__isl_keep isl_ast_build *build)
{}

/* Return the iterator attached to the internal schedule dimension "pos".
 */
__isl_give isl_id *isl_ast_build_get_iterator_id(
	__isl_keep isl_ast_build *build, int pos)
{}

/* Set the stride and offset of the current dimension to the given
 * value and expression.
 */
static __isl_give isl_ast_build *set_stride(__isl_take isl_ast_build *build,
	__isl_take isl_val *stride, __isl_take isl_aff *offset)
{}

/* Return a set expressing the stride constraint at the current depth.
 *
 * In particular, if the current iterator (i) is known to attain values
 *
 *	f + s a
 *
 * where f is the offset and s is the stride, then the returned set
 * expresses the constraint
 *
 *	(f - i) mod s = 0
 */
__isl_give isl_set *isl_ast_build_get_stride_constraint(
	__isl_keep isl_ast_build *build)
{}

/* Return the expansion implied by the stride and offset at the current
 * depth.
 *
 * That is, return the mapping
 *
 *	[i_0, ..., i_{d-1}, i_d, i_{d+1}, ...]
 *		-> [i_0, ..., i_{d-1}, s * i_d + offset(i),  i_{d+1}, ...]
 *
 * where s is the stride at the current depth d and offset(i) is
 * the corresponding offset.
 */
__isl_give isl_multi_aff *isl_ast_build_get_stride_expansion(
	__isl_keep isl_ast_build *build)
{}

/* Add constraints corresponding to any previously detected
 * stride on the current dimension to build->domain.
 */
__isl_give isl_ast_build *isl_ast_build_include_stride(
	__isl_take isl_ast_build *build)
{}

/* Check if the constraints in "set" imply any stride on the current
 * dimension and, if so, record the stride information in "build"
 * and return the updated "build".
 *
 * We assume that inner dimensions have been eliminated from "set"
 * by the caller.  This is needed because the common stride
 * may be imposed by different inner dimensions on different parts of
 * the domain.
 * The assumption ensures that the lower bound does not depend
 * on inner dimensions.
 */
__isl_give isl_ast_build *isl_ast_build_detect_strides(
	__isl_take isl_ast_build *build, __isl_take isl_set *set)
{}

/* Does "map" not involve the input dimension data->depth?
 */
static isl_bool free_of_depth(__isl_keep isl_map *map, void *user)
{}

/* Do any options depend on the value of the dimension at the current depth?
 */
int isl_ast_build_options_involve_depth(__isl_keep isl_ast_build *build)
{}

/* Construct the map
 *
 *	{ [i] -> [i] : i < pos; [i] -> [i + 1] : i >= pos }
 *
 * with "space" the parameter space of the constructed map.
 */
static __isl_give isl_map *construct_insertion_map(__isl_take isl_space *space,
	int pos)
{}

static const char *option_str[] =;

/* Update the "options" to reflect the insertion of a dimension
 * at position "pos" in the schedule domain space.
 * "space" is the original domain space before the insertion and
 * may be named and/or structured.
 *
 * The (relevant) input options all have "space" as domain, which
 * has to be mapped to the extended space.
 * The values of the ranges also refer to the schedule domain positions
 * and they therefore also need to be adjusted.  In particular, values
 * smaller than pos do not need to change, while values greater than or
 * equal to pos need to be incremented.
 * That is, we need to apply the following map.
 *
 *	{ atomic[i] -> atomic[i] : i < pos; [i] -> [i + 1] : i >= pos;
 *	  unroll[i] -> unroll[i] : i < pos; [i] -> [i + 1] : i >= pos;
 *	  separate[i] -> separate[i] : i < pos; [i] -> [i + 1] : i >= pos;
 *	  separation_class[[i] -> [c]]
 *		-> separation_class[[i] -> [c]] : i < pos;
 *	  separation_class[[i] -> [c]]
 *		-> separation_class[[i + 1] -> [c]] : i >= pos }
 */
static __isl_give isl_union_map *options_insert_dim(
	__isl_take isl_union_map *options, __isl_take isl_space *space, int pos)
{}

/* If we are generating an AST from a schedule tree (build->node is set),
 * then update the loop AST generation types
 * to reflect the insertion of a dimension at (global) position "pos"
 * in the schedule domain space.
 * We do not need to adjust any isolate option since we would not be inserting
 * any dimensions if there were any isolate option.
 */
static __isl_give isl_ast_build *node_insert_dim(
	__isl_take isl_ast_build *build, int pos)
{}

/* Insert a single dimension in the schedule domain at position "pos".
 * The new dimension is given an isl_id with the empty string as name.
 *
 * The main difficulty is updating build->options to reflect the
 * extra dimension.  This is handled in options_insert_dim.
 *
 * Note that because of the dimension manipulations, the resulting
 * schedule domain space will always be unnamed and unstructured.
 * However, the original schedule domain space may be named and/or
 * structured, so we have to take this possibility into account
 * while performing the transformations.
 *
 * Since the inserted schedule dimension is used by the caller
 * to differentiate between different domain spaces, there is
 * no longer a uniform mapping from the internal schedule space
 * to the input schedule space.  The internal2input mapping is
 * therefore removed.
 */
__isl_give isl_ast_build *isl_ast_build_insert_dim(
	__isl_take isl_ast_build *build, int pos)
{}

/* Scale down the current dimension by a factor of "m".
 * "umap" is an isl_union_map that implements the scaling down.
 * That is, it is of the form
 *
 *	{ [.... i ....] -> [.... i' ....] : i = m i' }
 *
 * This function is called right after the strides have been
 * detected, but before any constraints on the current dimension
 * have been included in build->domain.
 * We therefore only need to update stride, offset, the options and
 * the mapping from internal schedule space to the original schedule
 * space, if we are still keeping track of such a mapping.
 * The latter mapping is updated by plugging in
 * { [... i ...] -> [... m i ... ] }.
 */
__isl_give isl_ast_build *isl_ast_build_scale_down(
	__isl_take isl_ast_build *build, __isl_take isl_val *m,
	__isl_take isl_union_map *umap)
{}

/* Return a list of "n" isl_ids called "c%d", with "%d" starting at "first".
 * If an isl_id with such a name already appears among the parameters
 * in build->domain, then adjust the name to "c%d_%d".
 */
static __isl_give isl_id_list *generate_names(isl_ctx *ctx, int n, int first,
	__isl_keep isl_ast_build *build)
{}

/* Embed "options" into the given isl_ast_build space.
 *
 * This function is called from within a nested call to
 * isl_ast_build_node_from_schedule_map.
 * "options" refers to the additional schedule,
 * while space refers to both the space of the outer isl_ast_build and
 * that of the additional schedule.
 * Specifically, space is of the form
 *
 *	[I -> S]
 *
 * while options lives in the space(s)
 *
 *	S -> *
 *
 * We compute
 *
 *	[I -> S] -> S
 *
 * and compose this with options, to obtain the new options
 * living in the space(s)
 *
 *	[I -> S] -> *
 */
static __isl_give isl_union_map *embed_options(
	__isl_take isl_union_map *options, __isl_take isl_space *space)
{}

/* Update "build" for use in a (possibly nested) code generation.  That is,
 * extend "build" from an AST build on some domain O to an AST build
 * on domain [O -> S], with S corresponding to "space".
 * If the original domain is a parameter domain, then the new domain is
 * simply S.
 * "iterators" is a list of iterators for S, but the number of elements
 * may be smaller or greater than the number of set dimensions of S.
 * If "keep_iterators" is set, then any extra ids in build->iterators
 * are reused for S.  Otherwise, these extra ids are dropped.
 *
 * We first update build->outer_pos to the current depth.
 * This depth is zero in case this is the outermost code generation.
 *
 * We then add additional ids such that the number of iterators is at least
 * equal to the dimension of the new build domain.
 *
 * If the original domain is parametric, then we are constructing
 * an isl_ast_build for the outer code generation and we pass control
 * to isl_ast_build_init.
 *
 * Otherwise, we adjust the fields of "build" to include "space".
 */
__isl_give isl_ast_build *isl_ast_build_product(
	__isl_take isl_ast_build *build, __isl_take isl_space *space)
{}

/* Does "aff" only attain non-negative values over build->domain?
 * That is, does it not attain any negative values?
 */
isl_bool isl_ast_build_aff_is_nonneg(__isl_keep isl_ast_build *build,
	__isl_keep isl_aff *aff)
{}

/* Does the dimension at (internal) position "pos" have a non-trivial stride?
 */
isl_bool isl_ast_build_has_stride(__isl_keep isl_ast_build *build, int pos)
{}

/* Given that the dimension at position "pos" takes on values
 *
 *	f + s a
 *
 * with a an integer, return s.
 */
__isl_give isl_val *isl_ast_build_get_stride(__isl_keep isl_ast_build *build,
	int pos)
{}

/* Given that the dimension at position "pos" takes on values
 *
 *	f + s a
 *
 * with a an integer, return f.
 */
__isl_give isl_aff *isl_ast_build_get_offset(
	__isl_keep isl_ast_build *build, int pos)
{}

/* Is the dimension at position "pos" known to attain only a single
 * value that, moreover, can be described by a single affine expression
 * in terms of the outer dimensions and parameters?
 *
 * If not, then the corresponding affine expression in build->values
 * is set to be equal to the same input dimension.
 * Otherwise, it is set to the requested expression in terms of
 * outer dimensions and parameters.
 */
isl_bool isl_ast_build_has_affine_value(__isl_keep isl_ast_build *build,
	int pos)
{}

/* Plug in the known values (fixed affine expressions in terms of
 * parameters and outer loop iterators) of all loop iterators
 * in the domain of "umap".
 *
 * We simply precompose "umap" with build->values.
 */
__isl_give isl_union_map *isl_ast_build_substitute_values_union_map_domain(
	__isl_keep isl_ast_build *build, __isl_take isl_union_map *umap)
{}

/* Is the current dimension known to attain only a single value?
 */
int isl_ast_build_has_value(__isl_keep isl_ast_build *build)
{}

/* Simplify the basic set "bset" based on what we know about
 * the iterators of already generated loops.
 *
 * "bset" is assumed to live in the (internal) schedule domain.
 */
__isl_give isl_basic_set *isl_ast_build_compute_gist_basic_set(
	__isl_keep isl_ast_build *build, __isl_take isl_basic_set *bset)
{}

/* Simplify the set "set" based on what we know about
 * the iterators of already generated loops.
 *
 * "set" is assumed to live in the (internal) schedule domain.
 */
__isl_give isl_set *isl_ast_build_compute_gist(
	__isl_keep isl_ast_build *build, __isl_take isl_set *set)
{}

/* Include information about what we know about the iterators of
 * already generated loops to "set".
 *
 * We currently only plug in the known affine values of outer loop
 * iterators.
 * In principle we could also introduce equalities or even other
 * constraints implied by the intersection of "set" and build->domain.
 */
__isl_give isl_set *isl_ast_build_specialize(__isl_keep isl_ast_build *build,
	__isl_take isl_set *set)
{}

/* Plug in the known affine values of outer loop iterators in "bset".
 */
__isl_give isl_basic_set *isl_ast_build_specialize_basic_set(
	__isl_keep isl_ast_build *build, __isl_take isl_basic_set *bset)
{}

/* Simplify the map "map" based on what we know about
 * the iterators of already generated loops.
 *
 * The domain of "map" is assumed to live in the (internal) schedule domain.
 */
__isl_give isl_map *isl_ast_build_compute_gist_map_domain(
	__isl_keep isl_ast_build *build, __isl_take isl_map *map)
{}

/* Simplify the affine expression "aff" based on what we know about
 * the iterators of already generated loops.
 *
 * The domain of "aff" is assumed to live in the (internal) schedule domain.
 */
__isl_give isl_aff *isl_ast_build_compute_gist_aff(
	__isl_keep isl_ast_build *build, __isl_take isl_aff *aff)
{}

/* Simplify the piecewise affine expression "aff" based on what we know about
 * the iterators of already generated loops.
 *
 * The domain of "pa" is assumed to live in the (internal) schedule domain.
 */
__isl_give isl_pw_aff *isl_ast_build_compute_gist_pw_aff(
	__isl_keep isl_ast_build *build, __isl_take isl_pw_aff *pa)
{}

/* Simplify the piecewise multi-affine expression "aff" based on what
 * we know about the iterators of already generated loops.
 *
 * The domain of "pma" is assumed to live in the (internal) schedule domain.
 */
__isl_give isl_pw_multi_aff *isl_ast_build_compute_gist_pw_multi_aff(
	__isl_keep isl_ast_build *build, __isl_take isl_pw_multi_aff *pma)
{}

/* Extract the schedule domain of the given type from build->options
 * at the current depth.
 *
 * In particular, find the subset of build->options that is of
 * the following form
 *
 *	schedule_domain -> type[depth]
 *
 * and return the corresponding domain, after eliminating inner dimensions
 * and divs that depend on the current dimension.
 *
 * Note that the domain of build->options has been reformulated
 * in terms of the internal build space in embed_options,
 * but the position is still that within the current code generation.
 */
__isl_give isl_set *isl_ast_build_get_option_domain(
	__isl_keep isl_ast_build *build, enum isl_ast_loop_type type)
{}

/* How does the user want the current schedule dimension to be generated?
 * These choices have been extracted from the schedule node
 * in extract_loop_types and stored in build->loop_type.
 * They have been updated to reflect any dimension insertion in
 * node_insert_dim.
 * Return isl_ast_domain_error on error.
 *
 * If "isolated" is set, then we get the loop AST generation type
 * directly from the band node since node_insert_dim cannot have been
 * called on a band with the isolate option.
 */
enum isl_ast_loop_type isl_ast_build_get_loop_type(
	__isl_keep isl_ast_build *build, int isolated)
{}

/* Extract the isolated set from the isolate option, if any,
 * and store in the build.
 * If there is no isolate option, then the isolated set is
 * set to the empty set.
 *
 * The isolate option is of the form
 *
 *	isolate[[outer bands] -> current_band]
 *
 * We flatten this set and then map it back to the internal
 * schedule space.
 *
 * If we have already extracted the isolated set
 * or if internal2input is no longer set, then we do not
 * need to do anything.  In the latter case, we know
 * that the current band cannot have any isolate option.
 */
__isl_give isl_ast_build *isl_ast_build_extract_isolated(
	__isl_take isl_ast_build *build)
{}

/* Does "build" have a non-empty isolated set?
 *
 * The caller is assumed to have called isl_ast_build_extract_isolated first.
 */
int isl_ast_build_has_isolated(__isl_keep isl_ast_build *build)
{}

/* Return a copy of the isolated set of "build".
 *
 * The caller is assume to have called isl_ast_build_has_isolated first,
 * with this function returning true.
 * In particular, this function should not be called if we are no
 * longer keeping track of internal2input (and there therefore could
 * not possibly be any isolated set).
 */
__isl_give isl_set *isl_ast_build_get_isolated(__isl_keep isl_ast_build *build)
{}

/* Extract the separation class mapping at the current depth.
 *
 * In particular, find and return the subset of build->options that is of
 * the following form
 *
 *	schedule_domain -> separation_class[[depth] -> [class]]
 *
 * The caller is expected to eliminate inner dimensions from the domain.
 *
 * Note that the domain of build->options has been reformulated
 * in terms of the internal build space in embed_options,
 * but the position is still that within the current code generation.
 */
__isl_give isl_map *isl_ast_build_get_separation_class(
	__isl_keep isl_ast_build *build)
{}

/* Eliminate dimensions inner to the current dimension.
 */
__isl_give isl_set *isl_ast_build_eliminate_inner(
	__isl_keep isl_ast_build *build, __isl_take isl_set *set)
{}

/* Eliminate unknown divs and divs that depend on the current dimension.
 *
 * Note that during the elimination of unknown divs, we may discover
 * an explicit representation of some other unknown divs, which may
 * depend on the current dimension.  We therefore need to eliminate
 * unknown divs first.
 */
__isl_give isl_set *isl_ast_build_eliminate_divs(
	__isl_keep isl_ast_build *build, __isl_take isl_set *set)
{}

/* Eliminate dimensions inner to the current dimension as well as
 * unknown divs and divs that depend on the current dimension.
 * The result then consists only of constraints that are independent
 * of the current dimension and upper and lower bounds on the current
 * dimension.
 */
__isl_give isl_set *isl_ast_build_eliminate(
	__isl_keep isl_ast_build *build, __isl_take isl_set *domain)
{}

/* Replace build->single_valued by "sv".
 */
__isl_give isl_ast_build *isl_ast_build_set_single_valued(
	__isl_take isl_ast_build *build, int sv)
{}