=back
+=head3 Changes since isl-0.09
+
+=over
+
+=item * The C<schedule_split_parallel> option has been replaced
+by the C<schedule_split_scaled> option.
+
+=item * The first argument of C<isl_pw_aff_cond> is now
+an C<isl_pw_aff> instead of an C<isl_set>.
+A call C<isl_pw_aff_cond(a, b, c)> can be replaced by
+
+ isl_pw_aff_cond(isl_set_indicator_function(a), b, c)
+
+=back
+
=head1 Installation
The source of C<isl> can be obtained either as a tarball
__isl_keep isl_pw_multi_aff *pma);
__isl_give isl_space *isl_pw_multi_aff_get_space(
__isl_keep isl_pw_multi_aff *pma);
+ __isl_give isl_space *isl_union_pw_multi_aff_get_space(
+ __isl_keep isl_union_pw_multi_aff *upma);
#include <isl/point.h>
__isl_give isl_space *isl_point_get_space(
__isl_give isl_id *isl_space_get_dim_id(
__isl_keep isl_space *space,
enum isl_dim_type type, unsigned pos);
- __isl_give isl_space *isl_space_set_dim_name(__isl_take isl_space *space,
- enum isl_dim_type type, unsigned pos,
- __isl_keep const char *name);
- __isl_keep const char *isl_space_get_dim_name(__isl_keep isl_space *space,
- enum isl_dim_type type, unsigned pos);
+ __isl_give isl_space *isl_space_set_dim_name(
+ __isl_take isl_space *space,
+ enum isl_dim_type type, unsigned pos,
+ __isl_keep const char *name);
+ int isl_space_has_dim_name(__isl_keep isl_space *space,
+ enum isl_dim_type type, unsigned pos);
+ __isl_keep const char *isl_space_get_dim_name(
+ __isl_keep isl_space *space,
+ enum isl_dim_type type, unsigned pos);
Note that C<isl_space_get_name> returns a pointer to some internal
data structure, so the result can only be used while the
of C<isl_dim_cst>, C<isl_dim_param>,
C<isl_dim_in>, C<isl_dim_out> and C<isl_dim_div> for relations.
-A (basic) set or relation can also be constructed from a (piecewise)
-(multiple) affine expression
+A (basic or union) set or relation can also be constructed from a
+(union) (piecewise) (multiple) affine expression
or a list of affine expressions
(See L<"Piecewise Quasi Affine Expressions"> and
L<"Piecewise Multiple Quasi Affine Expressions">).
__isl_take isl_aff_list *list);
__isl_give isl_basic_map *isl_basic_map_from_multi_aff(
__isl_take isl_multi_aff *maff)
+ __isl_give isl_map *isl_map_from_multi_aff(
+ __isl_take isl_multi_aff *maff)
__isl_give isl_set *isl_set_from_pw_multi_aff(
__isl_take isl_pw_multi_aff *pma);
__isl_give isl_map *isl_map_from_pw_multi_aff(
__isl_take isl_pw_multi_aff *pma);
+ __isl_give isl_union_map *
+ isl_union_map_from_union_pw_multi_aff(
+ __isl_take isl_union_pw_multi_aff *upma);
The C<domain_dim> argument describes the domain of the resulting
basic relation. It is required because the C<list> may consist
const char *isl_basic_set_get_dim_name(
__isl_keep isl_basic_set *bset,
enum isl_dim_type type, unsigned pos);
+ int isl_set_has_dim_name(__isl_keep isl_set *set,
+ enum isl_dim_type type, unsigned pos);
const char *isl_set_get_dim_name(
__isl_keep isl_set *set,
enum isl_dim_type type, unsigned pos);
=item * Single-valuedness
+ int isl_map_plain_is_single_valued(
+ __isl_keep isl_map *map);
int isl_map_is_single_valued(__isl_keep isl_map *map);
int isl_union_map_is_single_valued(__isl_keep isl_union_map *umap);
=item * Subset
+ int isl_basic_set_is_subset(
+ __isl_keep isl_basic_set *bset1,
+ __isl_keep isl_basic_set *bset2);
int isl_set_is_subset(__isl_keep isl_set *set1,
__isl_keep isl_set *set2);
int isl_set_is_strict_subset(
__isl_give isl_set *isl_set_complement(
__isl_take isl_set *set);
+ __isl_give isl_map *isl_map_complement(
+ __isl_take isl_map *map);
=item * Inverse map
__isl_give isl_basic_map *isl_basic_map_lower_bound_si(
__isl_take isl_basic_map *bmap,
enum isl_dim_type type, unsigned pos, int value);
+ __isl_give isl_set *isl_set_lower_bound(
+ __isl_take isl_set *set,
+ enum isl_dim_type type, unsigned pos,
+ isl_int value);
__isl_give isl_set *isl_set_lower_bound_si(
__isl_take isl_set *set,
enum isl_dim_type type, unsigned pos, int value);
__isl_give isl_map *isl_map_lower_bound_si(
__isl_take isl_map *map,
enum isl_dim_type type, unsigned pos, int value);
+ __isl_give isl_set *isl_set_upper_bound(
+ __isl_take isl_set *set,
+ enum isl_dim_type type, unsigned pos,
+ isl_int value);
__isl_give isl_set *isl_set_upper_bound_si(
__isl_take isl_set *set,
enum isl_dim_type type, unsigned pos, int value);
enum isl_dim_type type, unsigned pos, int value);
Intersect the set or relation with the half-space where the given
-dimension has a value bounded the fixed given value.
+dimension has a value bounded by the fixed given value.
__isl_give isl_set *isl_set_equate(__isl_take isl_set *set,
enum isl_dim_type type1, int pos1,
__isl_give isl_union_map *isl_union_map_coalesce(
__isl_take isl_union_map *umap);
+One of the methods for combining pairs of basic sets or relations
+can result in coefficients that are much larger than those that appear
+in the constraints of the input. By default, the coefficients are
+not allowed to grow larger, but this can be changed by unsetting
+the following option.
+
+ int isl_options_set_coalesce_bounded_wrapping(
+ isl_ctx *ctx, int val);
+ int isl_options_get_coalesce_bounded_wrapping(
+ isl_ctx *ctx);
+
=item * Detecting equalities
__isl_give isl_basic_set *isl_basic_set_detect_equalities(
In case of union sets and relations, the polyhedral hull is computed
per space.
+=item * Feasibility
+
+ __isl_give isl_basic_set *isl_basic_set_sample(
+ __isl_take isl_basic_set *bset);
+ __isl_give isl_basic_set *isl_set_sample(
+ __isl_take isl_set *set);
+ __isl_give isl_basic_map *isl_basic_map_sample(
+ __isl_take isl_basic_map *bmap);
+ __isl_give isl_basic_map *isl_map_sample(
+ __isl_take isl_map *map);
+
+If the input (basic) set or relation is non-empty, then return
+a singleton subset of the input. Otherwise, return an empty set.
+
=item * Optimization
#include <isl/ilp.h>
=item * Power
+ __isl_give isl_map *isl_map_fixed_power(
+ __isl_take isl_map *map, isl_int exp);
+ __isl_give isl_union_map *isl_union_map_fixed_power(
+ __isl_take isl_union_map *umap, isl_int exp);
+
+Compute the given power of C<map>, where C<exp> is assumed to be non-zero.
+If the exponent C<exp> is negative, then the -C<exp> th power of the inverse
+of C<map> is computed.
+
__isl_give isl_map *isl_map_power(__isl_take isl_map *map,
int *exact);
__isl_give isl_union_map *isl_union_map_power(
__isl_give isl_union_map *isl_union_map_gist_domain(
__isl_take isl_union_map *umap,
__isl_take isl_union_set *uset);
+ __isl_give isl_union_map *isl_union_map_gist_range(
+ __isl_take isl_union_map *umap,
+ __isl_take isl_union_set *uset);
The gist operation returns a set or relation that has the
same intersection with the context as the input set or relation.
__isl_take isl_printer *p,
__isl_keep isl_set_list *list);
+=head2 Vectors
+
+Vectors can be created, copied and freed using the following functions.
+
+ #include <isl/vec.h>
+ __isl_give isl_vec *isl_vec_alloc(isl_ctx *ctx,
+ unsigned size);
+ __isl_give isl_vec *isl_vec_copy(__isl_keep isl_vec *vec);
+ void isl_vec_free(__isl_take isl_vec *vec);
+
+Note that the elements of a newly created vector may have arbitrary values.
+The elements can be changed and inspected using the following functions.
+
+ isl_ctx *isl_vec_get_ctx(__isl_keep isl_vec *vec);
+ int isl_vec_size(__isl_keep isl_vec *vec);
+ int isl_vec_get_element(__isl_keep isl_vec *vec,
+ int pos, isl_int *v);
+ __isl_give isl_vec *isl_vec_set_element(
+ __isl_take isl_vec *vec, int pos, isl_int v);
+ __isl_give isl_vec *isl_vec_set_element_si(
+ __isl_take isl_vec *vec, int pos, int v);
+ __isl_give isl_vec *isl_vec_set(__isl_take isl_vec *vec,
+ isl_int v);
+ __isl_give isl_vec *isl_vec_set_si(__isl_take isl_vec *vec,
+ int v);
+
+C<isl_vec_get_element> will return a negative value if anything went wrong.
+In that case, the value of C<*v> is undefined.
+
=head2 Matrices
Matrices can be created, copied and freed using the following functions.
__isl_give isl_pw_aff *isl_pw_aff_from_aff(
__isl_take isl_aff *aff);
+A piecewise quasi affine expression that is equal to 1 on a set
+and 0 outside the set can be created using the following function.
+
+ #include <isl/aff.h>
+ __isl_give isl_pw_aff *isl_set_indicator_function(
+ __isl_take isl_set *set);
+
Quasi affine expressions can be copied and freed using
#include <isl/aff.h>
__isl_give isl_aff *isl_aff_get_div(
__isl_keep isl_aff *aff, int pos);
+ int isl_pw_aff_n_piece(__isl_keep isl_pw_aff *pwaff);
int isl_pw_aff_foreach_piece(__isl_keep isl_pw_aff *pwaff,
int (*fn)(__isl_take isl_set *set,
__isl_take isl_aff *aff,
__isl_give isl_pw_aff *isl_pw_aff_coalesce(
__isl_take isl_pw_aff *pwqp);
+ __isl_give isl_aff *isl_aff_align_params(
+ __isl_take isl_aff *aff,
+ __isl_take isl_space *model);
__isl_give isl_pw_aff *isl_pw_aff_align_params(
__isl_take isl_pw_aff *pwaff,
__isl_take isl_space *model);
+ __isl_give isl_aff *isl_aff_project_domain_on_params(
+ __isl_take isl_aff *aff);
+
__isl_give isl_aff *isl_aff_gist_params(
__isl_take isl_aff *aff,
__isl_take isl_set *context);
#include <isl/aff.h>
__isl_give isl_pw_aff *isl_pw_aff_cond(
- __isl_take isl_set *cond,
+ __isl_take isl_pw_aff *cond,
__isl_take isl_pw_aff *pwaff_true,
__isl_take isl_pw_aff *pwaff_false);
The function C<isl_pw_aff_cond> performs a conditional operator
and returns an expression that is equal to C<pwaff_true>
-for elements in C<cond> and equal to C<pwaff_false> for elements
-not in C<cond>.
+for elements where C<cond> is non-zero and equal to C<pwaff_false> for elements
+where C<cond> is zero.
#include <isl/aff.h>
__isl_give isl_pw_aff *isl_pw_aff_union_min(
__isl_take isl_space *space,
__isl_take isl_aff_list *list);
-An empty piecewise multiple quasi affine expression (one with no cells) or
-a piecewise multiple quasi affine expression with a single cell can
-be created using the following functions.
+An empty piecewise multiple quasi affine expression (one with no cells),
+the zero piecewise multiple quasi affine expression (with value zero
+for each output dimension),
+a piecewise multiple quasi affine expression with a single cell (with
+either a universe or a specified domain) or
+a zero-dimensional piecewise multiple quasi affine expression
+on a given domain
+can be created using the following functions.
#include <isl/aff.h>
__isl_give isl_pw_multi_aff *isl_pw_multi_aff_empty(
__isl_take isl_space *space);
+ __isl_give isl_multi_aff *isl_multi_aff_zero(
+ __isl_take isl_space *space);
+ __isl_give isl_pw_multi_aff *
+ isl_pw_multi_aff_from_multi_aff(
+ __isl_take isl_multi_aff *ma);
__isl_give isl_pw_multi_aff *isl_pw_multi_aff_alloc(
__isl_take isl_set *set,
__isl_take isl_multi_aff *maff);
+ __isl_give isl_pw_multi_aff *isl_pw_multi_aff_from_domain(
+ __isl_take isl_set *set);
+
+ __isl_give isl_union_pw_multi_aff *
+ isl_union_pw_multi_aff_empty(
+ __isl_take isl_space *space);
+ __isl_give isl_union_pw_multi_aff *
+ isl_union_pw_multi_aff_add_pw_multi_aff(
+ __isl_take isl_union_pw_multi_aff *upma,
+ __isl_take isl_pw_multi_aff *pma);
+ __isl_give isl_union_pw_multi_aff *
+ isl_union_pw_multi_aff_from_domain(
+ __isl_take isl_union_set *uset);
A piecewise multiple quasi affine expression can also be initialized
from an C<isl_set> or C<isl_map>, provided the C<isl_set> is a singleton
void *isl_pw_multi_aff_free(
__isl_take isl_pw_multi_aff *pma);
+ __isl_give isl_union_pw_multi_aff *
+ isl_union_pw_multi_aff_copy(
+ __isl_keep isl_union_pw_multi_aff *upma);
+ void *isl_union_pw_multi_aff_free(
+ __isl_take isl_union_pw_multi_aff *upma);
+
The expression can be inspected using
#include <isl/aff.h>
__isl_keep isl_multi_aff *maff);
isl_ctx *isl_pw_multi_aff_get_ctx(
__isl_keep isl_pw_multi_aff *pma);
+ isl_ctx *isl_union_pw_multi_aff_get_ctx(
+ __isl_keep isl_union_pw_multi_aff *upma);
unsigned isl_multi_aff_dim(__isl_keep isl_multi_aff *maff,
enum isl_dim_type type);
unsigned isl_pw_multi_aff_dim(
__isl_take isl_multi_aff *maff,
void *user), void *user);
+ int isl_union_pw_multi_aff_foreach_pw_multi_aff(
+ __isl_keep isl_union_pw_multi_aff *upma,
+ int (*fn)(__isl_take isl_pw_multi_aff *pma,
+ void *user), void *user);
+
It can be modified using
#include <isl/aff.h>
+ __isl_give isl_multi_aff *isl_multi_aff_set_aff(
+ __isl_take isl_multi_aff *multi, int pos,
+ __isl_take isl_aff *aff);
__isl_give isl_multi_aff *isl_multi_aff_set_dim_name(
__isl_take isl_multi_aff *maff,
enum isl_dim_type type, unsigned pos, const char *s);
+ __isl_give isl_multi_aff *isl_multi_aff_set_tuple_id(
+ __isl_take isl_multi_aff *maff,
+ enum isl_dim_type type, __isl_take isl_id *id);
__isl_give isl_pw_multi_aff *isl_pw_multi_aff_set_tuple_id(
__isl_take isl_pw_multi_aff *pma,
enum isl_dim_type type, __isl_take isl_id *id);
+ __isl_give isl_multi_aff *isl_multi_aff_drop_dims(
+ __isl_take isl_multi_aff *maff,
+ enum isl_dim_type type, unsigned first, unsigned n);
+
To check whether two multiple affine expressions are
obviously equal to each other, use
__isl_give isl_pw_multi_aff *isl_pw_multi_aff_add(
__isl_take isl_pw_multi_aff *pma1,
__isl_take isl_pw_multi_aff *pma2);
+ __isl_give isl_union_pw_multi_aff *isl_union_pw_multi_aff_add(
+ __isl_take isl_union_pw_multi_aff *upma1,
+ __isl_take isl_union_pw_multi_aff *upma2);
__isl_give isl_pw_multi_aff *isl_pw_multi_aff_union_add(
__isl_take isl_pw_multi_aff *pma1,
__isl_take isl_pw_multi_aff *pma2);
__isl_give isl_multi_aff *isl_multi_aff_lift(
__isl_take isl_multi_aff *maff,
__isl_give isl_local_space **ls);
+ __isl_give isl_pw_multi_aff *isl_pw_multi_aff_coalesce(
+ __isl_take isl_pw_multi_aff *pma);
__isl_give isl_multi_aff *isl_multi_aff_gist_params(
__isl_take isl_multi_aff *maff,
__isl_take isl_set *context);
__isl_give isl_pw_multi_aff *isl_pw_multi_aff_gist(
__isl_take isl_pw_multi_aff *pma,
__isl_take isl_set *set);
+ __isl_give isl_set *isl_pw_multi_aff_domain(
+ __isl_take isl_pw_multi_aff *pma);
+ __isl_give isl_union_set *isl_union_pw_multi_aff_domain(
+ __isl_take isl_union_pw_multi_aff *upma);
+ __isl_give isl_multi_aff *isl_multi_aff_flat_range_product(
+ __isl_take isl_multi_aff *ma1,
+ __isl_take isl_multi_aff *ma2);
+ __isl_give isl_pw_multi_aff *
+ isl_pw_multi_aff_flat_range_product(
+ __isl_take isl_pw_multi_aff *pma1,
+ __isl_take isl_pw_multi_aff *pma2);
+ __isl_give isl_union_pw_multi_aff *
+ isl_union_pw_multi_aff_flat_range_product(
+ __isl_take isl_union_pw_multi_aff *upma1,
+ __isl_take isl_union_pw_multi_aff *upma2);
If the C<ls> argument of C<isl_multi_aff_lift> is not C<NULL>,
then it is assigned the local space that lies at the basis of
__isl_give isl_printer *isl_printer_print_pw_multi_aff(
__isl_take isl_printer *p,
__isl_keep isl_pw_multi_aff *pma);
+ __isl_give isl_printer *isl_printer_print_union_pw_multi_aff(
+ __isl_take isl_printer *p,
+ __isl_keep isl_union_pw_multi_aff *upma);
=head2 Points
__isl_give isl_union_pw_qpolynomial *isl_union_pw_qpolynomial_copy(
__isl_keep isl_union_pw_qpolynomial *upwqp);
- void isl_union_pw_qpolynomial_free(
+ void *isl_union_pw_qpolynomial_free(
__isl_take isl_union_pw_qpolynomial *upwqp);
=head3 Inspecting (Piecewise) Quasipolynomials
__isl_take isl_qpolynomial_fold *fold);
void *isl_pw_qpolynomial_fold_free(
__isl_take isl_pw_qpolynomial_fold *pwf);
- void isl_union_pw_qpolynomial_fold_free(
+ void *isl_union_pw_qpolynomial_fold_free(
__isl_take isl_union_pw_qpolynomial_fold *upwf);
=head3 Printing Piecewise Quasipolynomial Reductions
and potential soure iterations from a particular source domain,
what is the last potential source iteration corresponding to each
sink iteration. It can sometimes be convenient to adjust
-the set of potential source iterations before each such operation.
+the set of potential source iterations before or after each such operation.
The prototypical example is fuzzy array dataflow analysis,
where we need to analyze if, based on data-dependent constraints,
the sink iteration can ever be executed without one or more of
#include <isl/flow.h>
- typedef __isl_give isl_set *(*isl_access_restrict_sources)(
- __isl_take isl_map *source_map,
- void *sink_user, void *source_user);
- __isl_give isl_access_info *
- isl_access_info_set_restrict_sources(
+ typedef __isl_give isl_restriction *(*isl_access_restrict)(
+ __isl_keep isl_map *source_map,
+ __isl_keep isl_set *sink, void *source_user,
+ void *user);
+ __isl_give isl_access_info *isl_access_info_set_restrict(
__isl_take isl_access_info *acc,
- isl_access_restrict_sources fn);
+ isl_access_restrict fn, void *user);
-The function C<isl_access_info_set_restrict_sources> should be called
-before C<isl_access_info_compute_flow> and registers a callback function
+The function C<isl_access_info_set_restrict> should be called
+before calling C<isl_access_info_compute_flow> and registers a callback function
that will be called any time C<isl> is about to compute the last
potential source. The first argument is the (reverse) proto-dependence,
mapping sink iterations to potential source iterations.
-The other two arguments are the tokens corresponding to the sink
-and the source. The callback is expected to return a set
-that restricts the source iterations. The potential source iterations
-will be intersected with this set. If no restrictions are required
-for a given C<source_map>, then the callback should return
+The second argument represents the sink iterations for which
+we want to compute the last source iteration.
+The third argument is the token corresponding to the source
+and the final argument is the token passed to C<isl_access_info_set_restrict>.
+The callback is expected to return a restriction on either the input or
+the output of the operation computing the last potential source.
+If the input needs to be restricted then restrictions are needed
+for both the source and the sink iterations. The sink iterations
+and the potential source iterations will be intersected with these sets.
+If the output needs to be restricted then only a restriction on the source
+iterations is required.
+If any error occurs, the callback should return C<NULL>.
+An C<isl_restriction> object can be created and freed using the following
+functions.
- isl_set_universe(
- isl_space_range(isl_map_get_space(source_map)));
+ #include <isl/flow.h>
-If any error occurs, the callback should return C<NULL>.
+ __isl_give isl_restriction *isl_restriction_input(
+ __isl_take isl_set *source_restr,
+ __isl_take isl_set *sink_restr);
+ __isl_give isl_restriction *isl_restriction_output(
+ __isl_take isl_set *source_restr);
+ __isl_give isl_restriction *isl_restriction_none(
+ __isl_keep isl_map *source_map);
+ __isl_give isl_restriction *isl_restriction_empty(
+ __isl_keep isl_map *source_map);
+ void *isl_restriction_free(
+ __isl_take isl_restriction *restr);
+
+C<isl_restriction_none> and C<isl_restriction_empty> are special
+cases of C<isl_restriction_input>. C<isl_restriction_none>
+is essentially equivalent to
+
+ isl_restriction_input(isl_set_universe(
+ isl_space_range(isl_map_get_space(source_map))),
+ isl_set_universe(
+ isl_space_domain(isl_map_get_space(source_map))));
+
+whereas C<isl_restriction_empty> is essentially equivalent to
+
+ isl_restriction_input(isl_set_empty(
+ isl_space_range(isl_map_get_space(source_map))),
+ isl_set_universe(
+ isl_space_domain(isl_map_get_space(source_map))));
=head2 Scheduling
=head3 Options
#include <isl/schedule.h>
+ int isl_options_set_schedule_max_coefficient(
+ isl_ctx *ctx, int val);
+ int isl_options_get_schedule_max_coefficient(
+ isl_ctx *ctx);
int isl_options_set_schedule_max_constant_term(
isl_ctx *ctx, int val);
int isl_options_get_schedule_max_constant_term(
isl_ctx *ctx, int val);
int isl_options_get_schedule_outer_zero_distance(
isl_ctx *ctx);
- int isl_options_set_schedule_split_parallel(
+ int isl_options_set_schedule_split_scaled(
isl_ctx *ctx, int val);
- int isl_options_get_schedule_split_parallel(
+ int isl_options_get_schedule_split_scaled(
isl_ctx *ctx);
int isl_options_set_schedule_algorithm(
isl_ctx *ctx, int val);
=over
+=item * schedule_max_coefficient
+
+This option enforces that the coefficients for variable and parameter
+dimensions in the calculated schedule are not larger than the specified value.
+This option can significantly increase the speed of the scheduling calculation
+and may also prevent fusing of unrelated dimensions. A value of -1 means that
+this option does not introduce bounds on the variable or parameter
+coefficients.
+
=item * schedule_max_constant_term
This option enforces that the constant coefficients in the calculated schedule
results in a zero dependence distance over the proximity
dependences.
-=item * schedule_split_parallel
+=item * schedule_split_scaled
If this option is set, then we try to construct schedules in which the
constant term is split off from the linear part if the linear parts of
-the scheduling rows for all nodes in the graphs are the same.
+the scheduling rows for all nodes in the graphs have a common non-trivial
+divisor.
The constant term is then placed in a separate band and the linear
-part is simplified.
+part is reduced.
=item * schedule_algorithm