=item * The function C<isl_pw_aff_max> has been renamed to
C<isl_pw_aff_union_max>.
+Similarly, the function C<isl_pw_aff_add> has been renamed to
+C<isl_pw_aff_union_add>.
=item * The C<isl_dim> type has been renamed to C<isl_space>
along with the associated functions.
__isl_keep isl_pw_aff *pwaff);
__isl_give isl_space *isl_pw_aff_get_space(
__isl_keep isl_pw_aff *pwaff);
+ __isl_give isl_space *isl_multi_aff_get_space(
+ __isl_keep isl_multi_aff *maff);
+ __isl_give isl_space *isl_pw_multi_aff_get_domain_space(
+ __isl_keep isl_pw_multi_aff *pma);
+ __isl_give isl_space *isl_pw_multi_aff_get_space(
+ __isl_keep isl_pw_multi_aff *pma);
#include <isl/point.h>
__isl_give isl_space *isl_point_get_space(
__isl_take isl_local_space *ls);
__isl_give isl_local_space *isl_local_space_from_domain(
__isl_take isl_local_space *ls);
+ __isl_give isl_local_space *isl_local_space_intersect(
+ __isl_take isl_local_space *ls1,
+ __isl_take isl_local_space *ls2);
__isl_give isl_local_space *isl_local_space_add_dims(
__isl_take isl_local_space *ls,
enum isl_dim_type type, unsigned n);
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)
-affine expression
-or a list of affine expressions (See L<"Piecewise Quasi Affine Expressions">).
+(multiple) affine expression
+or a list of affine expressions
+(See L<"Piecewise Quasi Affine Expressions"> and
+L<"Piecewise Multiple Quasi Affine Expressions">).
__isl_give isl_basic_map *isl_basic_map_from_aff(
__isl_take isl_aff *aff);
__isl_give isl_basic_map *isl_basic_map_from_aff_list(
__isl_take isl_space *domain_space,
__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_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);
The C<domain_dim> argument describes the domain of the resulting
basic relation. It is required because the C<list> may consist
To check whether a set is a parameter domain, use this function:
int isl_set_is_params(__isl_keep isl_set *set);
+ int isl_union_set_is_params(
+ __isl_keep isl_union_set *uset);
=item * Wrapping
__isl_take isl_map *bmap);
__isl_give isl_set *isl_map_range(
__isl_take isl_map *map);
+ __isl_give isl_set *isl_union_set_params(
+ __isl_take isl_union_set *uset);
+ __isl_give isl_set *isl_union_map_params(
+ __isl_take isl_union_map *umap);
__isl_give isl_union_set *isl_union_map_domain(
__isl_take isl_union_map *umap);
__isl_give isl_union_set *isl_union_map_range(
__isl_give isl_set *isl_set_eliminate(
__isl_take isl_set *set, enum isl_dim_type type,
unsigned first, unsigned n);
+ __isl_give isl_basic_map *isl_basic_map_eliminate(
+ __isl_take isl_basic_map *bmap,
+ enum isl_dim_type type,
+ unsigned first, unsigned n);
Eliminate the coefficients for the given dimensions from the constraints,
without removing the dimensions.
__isl_take isl_set *set, int pos);
__isl_give isl_pw_aff *isl_set_dim_max(
__isl_take isl_set *set, int pos);
+ __isl_give isl_pw_aff *isl_map_dim_max(
+ __isl_take isl_map *map, int pos);
-Compute the minimum or maximum of the given set dimension as a function of the
-parameters, but independently of the other set dimensions.
+Compute the minimum or maximum of the given set or output dimension
+as a function of the parameters (and input dimensions), but independently
+of the other set or output dimensions.
For lexicographic optimization, see L<"Lexicographic Optimization">.
=item * Dual
__isl_give isl_union_set *isl_union_set_lift(
__isl_take isl_union_set *uset);
+Given a local space that contains the existentially quantified
+variables of a set, a basic relation that, when applied to
+a basic set, has essentially the same effect as C<isl_basic_set_lift>,
+can be constructed using the following function.
+
+ #include <isl/local_space.h>
+ __isl_give isl_basic_map *isl_local_space_lifting(
+ __isl_take isl_local_space *ls);
+
=item * Internal Product
__isl_give isl_basic_map *isl_basic_map_zip(
=item * Intersection
+ __isl_give isl_basic_set *isl_basic_set_intersect_params(
+ __isl_take isl_basic_set *bset1,
+ __isl_take isl_basic_set *bset2);
__isl_give isl_basic_set *isl_basic_set_intersect(
__isl_take isl_basic_set *bset1,
__isl_take isl_basic_set *bset2);
__isl_give isl_set *isl_set_intersect(
__isl_take isl_set *set1,
__isl_take isl_set *set2);
+ __isl_give isl_union_set *isl_union_set_intersect_params(
+ __isl_take isl_union_set *uset,
+ __isl_take isl_set *set);
+ __isl_give isl_union_map *isl_union_map_intersect_params(
+ __isl_take isl_union_map *umap,
+ __isl_take isl_set *set);
__isl_give isl_union_set *isl_union_set_intersect(
__isl_take isl_union_set *uset1,
__isl_take isl_union_set *uset2);
__isl_give isl_union_set *isl_union_set_gist(
__isl_take isl_union_set *uset,
__isl_take isl_union_set *context);
+ __isl_give isl_union_set *isl_union_set_gist_params(
+ __isl_take isl_union_set *uset,
+ __isl_take isl_set *set);
__isl_give isl_basic_map *isl_basic_map_gist(
__isl_take isl_basic_map *bmap,
__isl_take isl_basic_map *context);
__isl_give isl_map *isl_map_gist_params(
__isl_take isl_map *map,
__isl_take isl_set *context);
+ __isl_give isl_map *isl_map_gist_domain(
+ __isl_take isl_map *map,
+ __isl_take isl_set *context);
__isl_give isl_union_map *isl_union_map_gist(
__isl_take isl_union_map *umap,
__isl_take isl_union_map *context);
+ __isl_give isl_union_map *isl_union_map_gist_params(
+ __isl_take isl_union_map *umap,
+ __isl_take isl_set *set);
+ __isl_give isl_union_map *isl_union_map_gist_domain(
+ __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_give isl_union_map *isl_union_map_lexmax(
__isl_take isl_union_map *umap);
+The following functions return their result in the form of
+a piecewise multi-affine expression
+(See L<"Piecewise Multiple Quasi Affine Expressions">),
+but are otherwise equivalent to the corresponding functions
+returning a basic set or relation.
+
+ __isl_give isl_pw_multi_aff *
+ isl_basic_map_lexmin_pw_multi_aff(
+ __isl_take isl_basic_map *bmap);
+ __isl_give isl_pw_multi_aff *
+ isl_basic_set_partial_lexmin_pw_multi_aff(
+ __isl_take isl_basic_set *bset,
+ __isl_take isl_basic_set *dom,
+ __isl_give isl_set **empty);
+ __isl_give isl_pw_multi_aff *
+ isl_basic_set_partial_lexmax_pw_multi_aff(
+ __isl_take isl_basic_set *bset,
+ __isl_take isl_basic_set *dom,
+ __isl_give isl_set **empty);
+ __isl_give isl_pw_multi_aff *
+ isl_basic_map_partial_lexmin_pw_multi_aff(
+ __isl_take isl_basic_map *bmap,
+ __isl_take isl_basic_set *dom,
+ __isl_give isl_set **empty);
+ __isl_give isl_pw_multi_aff *
+ isl_basic_map_partial_lexmax_pw_multi_aff(
+ __isl_take isl_basic_map *bmap,
+ __isl_take isl_basic_set *dom,
+ __isl_give isl_set **empty);
+
=head2 Lists
Lists are defined over several element types, including
__isl_keep isl_aff *aff);
const char *isl_aff_get_dim_name(__isl_keep isl_aff *aff,
enum isl_dim_type type, unsigned pos);
+ const char *isl_pw_aff_get_dim_name(
+ __isl_keep isl_pw_aff *pa,
+ enum isl_dim_type type, unsigned pos);
+ __isl_give isl_id *isl_pw_aff_get_dim_id(
+ __isl_keep isl_pw_aff *pa,
+ enum isl_dim_type type, unsigned pos);
int isl_aff_get_constant(__isl_keep isl_aff *aff,
isl_int *v);
int isl_aff_get_coefficient(__isl_keep isl_aff *aff,
__isl_give isl_aff *isl_aff_set_dim_id(
__isl_take isl_aff *aff, enum isl_dim_type type,
unsigned pos, __isl_take isl_id *id);
+ __isl_give isl_pw_aff *isl_pw_aff_set_dim_id(
+ __isl_take isl_pw_aff *pma,
+ enum isl_dim_type type, unsigned pos,
+ __isl_take isl_id *id);
__isl_give isl_aff *isl_aff_set_constant(
__isl_take isl_aff *aff, isl_int v);
__isl_give isl_aff *isl_aff_set_constant_si(
__isl_take isl_pw_aff *pwaff,
__isl_take isl_space *model);
+ __isl_give isl_aff *isl_aff_gist_params(
+ __isl_take isl_aff *aff,
+ __isl_take isl_set *context);
__isl_give isl_aff *isl_aff_gist(__isl_take isl_aff *aff,
__isl_take isl_set *context);
__isl_give isl_pw_aff *isl_pw_aff_gist(
__isl_give isl_pw_aff *isl_pw_aff_intersect_domain(
__isl_take isl_pw_aff *pa,
__isl_take isl_set *set);
+ __isl_give isl_pw_aff *isl_pw_aff_intersect_params(
+ __isl_take isl_pw_aff *pa,
+ __isl_take isl_set *set);
__isl_give isl_aff *isl_aff_mul(__isl_take isl_aff *aff1,
__isl_take isl_aff *aff2);
__isl_give isl_pw_aff *isl_pw_aff_union_max(
__isl_take isl_pw_aff *pwaff1,
__isl_take isl_pw_aff *pwaff2);
+ __isl_give isl_pw_aff *isl_pw_aff_union_add(
+ __isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2);
The function C<isl_pw_aff_union_max> computes a piecewise quasi-affine
expression with a domain that is the union of those of C<pwaff1> and
C<pwaff1> or C<pwaff2> is defined on a given cell, then the
associated expression is the defined one.
+An expression can be read from input using
+
+ #include <isl/aff.h>
+ __isl_give isl_aff *isl_aff_read_from_str(
+ isl_ctx *ctx, const char *str);
+ __isl_give isl_pw_aff *isl_pw_aff_read_from_str(
+ isl_ctx *ctx, const char *str);
+
An expression can be printed using
#include <isl/aff.h>
__isl_take isl_printer *p,
__isl_keep isl_pw_aff *pwaff);
+=head2 Piecewise Multiple Quasi Affine Expressions
+
+An C<isl_multi_aff> object represents a sequence of
+zero or more affine expressions, all defined on the same domain space.
+
+An C<isl_multi_aff> can be constructed from a C<isl_aff_list> using the
+following function.
+
+ #include <isl/aff.h>
+ __isl_give isl_multi_aff *isl_multi_aff_from_aff_list(
+ __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.
+
+ #include <isl/aff.h>
+ __isl_give isl_pw_multi_aff *isl_pw_multi_aff_empty(
+ __isl_take isl_space *space);
+ __isl_give isl_pw_multi_aff *isl_pw_multi_aff_alloc(
+ __isl_take isl_set *set,
+ __isl_take isl_multi_aff *maff);
+
+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
+and the C<isl_map> is single-valued.
+
+ __isl_give isl_pw_multi_aff *isl_pw_multi_aff_from_set(
+ __isl_take isl_set *set);
+ __isl_give isl_pw_multi_aff *isl_pw_multi_aff_from_map(
+ __isl_take isl_map *map);
+
+Multiple quasi affine expressions can be copied and freed using
+
+ #include <isl/aff.h>
+ __isl_give isl_multi_aff *isl_multi_aff_copy(
+ __isl_keep isl_multi_aff *maff);
+ void *isl_multi_aff_free(__isl_take isl_multi_aff *maff);
+
+ __isl_give isl_pw_multi_aff *isl_pw_multi_aff_copy(
+ __isl_keep isl_pw_multi_aff *pma);
+ void *isl_pw_multi_aff_free(
+ __isl_take isl_pw_multi_aff *pma);
+
+The expression can be inspected using
+
+ #include <isl/aff.h>
+ isl_ctx *isl_multi_aff_get_ctx(
+ __isl_keep isl_multi_aff *maff);
+ isl_ctx *isl_pw_multi_aff_get_ctx(
+ __isl_keep isl_pw_multi_aff *pma);
+ unsigned isl_multi_aff_dim(__isl_keep isl_multi_aff *maff,
+ enum isl_dim_type type);
+ unsigned isl_pw_multi_aff_dim(
+ __isl_keep isl_pw_multi_aff *pma,
+ enum isl_dim_type type);
+ __isl_give isl_aff *isl_multi_aff_get_aff(
+ __isl_keep isl_multi_aff *multi, int pos);
+ const char *isl_pw_multi_aff_get_dim_name(
+ __isl_keep isl_pw_multi_aff *pma,
+ enum isl_dim_type type, unsigned pos);
+ __isl_give isl_id *isl_pw_multi_aff_get_dim_id(
+ __isl_keep isl_pw_multi_aff *pma,
+ enum isl_dim_type type, unsigned pos);
+ const char *isl_multi_aff_get_tuple_name(
+ __isl_keep isl_multi_aff *multi,
+ enum isl_dim_type type);
+ const char *isl_pw_multi_aff_get_tuple_name(
+ __isl_keep isl_pw_multi_aff *pma,
+ enum isl_dim_type type);
+ int isl_pw_multi_aff_has_tuple_id(
+ __isl_keep isl_pw_multi_aff *pma,
+ enum isl_dim_type type);
+ __isl_give isl_id *isl_pw_multi_aff_get_tuple_id(
+ __isl_keep isl_pw_multi_aff *pma,
+ enum isl_dim_type type);
+
+ int isl_pw_multi_aff_foreach_piece(
+ __isl_keep isl_pw_multi_aff *pma,
+ int (*fn)(__isl_take isl_set *set,
+ __isl_take isl_multi_aff *maff,
+ void *user), void *user);
+
+It can be modified using
+
+ #include <isl/aff.h>
+ __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_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);
+
+To check whether two multiple affine expressions are
+obviously equal to each other, use
+
+ int isl_multi_aff_plain_is_equal(__isl_keep isl_multi_aff *maff1,
+ __isl_keep isl_multi_aff *maff2);
+ int isl_pw_multi_aff_plain_is_equal(
+ __isl_keep isl_pw_multi_aff *pma1,
+ __isl_keep isl_pw_multi_aff *pma2);
+
+Operations include
+
+ #include <isl/aff.h>
+ __isl_give isl_multi_aff *isl_multi_aff_add(
+ __isl_take isl_multi_aff *maff1,
+ __isl_take isl_multi_aff *maff2);
+ __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_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_scale(
+ __isl_take isl_multi_aff *maff,
+ isl_int f);
+ __isl_give isl_pw_multi_aff *isl_pw_multi_aff_intersect_params(
+ __isl_take isl_pw_multi_aff *pma,
+ __isl_take isl_set *set);
+ __isl_give isl_pw_multi_aff *isl_pw_multi_aff_intersect_domain(
+ __isl_take isl_pw_multi_aff *pma,
+ __isl_take isl_set *set);
+ __isl_give isl_multi_aff *isl_multi_aff_lift(
+ __isl_take isl_multi_aff *maff,
+ __isl_give isl_local_space **ls);
+ __isl_give isl_multi_aff *isl_multi_aff_gist(
+ __isl_take isl_multi_aff *maff,
+ __isl_take isl_set *context);
+
+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
+the lifting applied.
+
+An expression can be read from input using
+
+ #include <isl/aff.h>
+ __isl_give isl_multi_aff *isl_multi_aff_read_from_str(
+ isl_ctx *ctx, const char *str);
+ __isl_give isl_pw_multi_aff *isl_pw_multi_aff_read_from_str(
+ isl_ctx *ctx, const char *str);
+
+An expression can be printed using
+
+ #include <isl/aff.h>
+ __isl_give isl_printer *isl_printer_print_multi_aff(
+ __isl_take isl_printer *p,
+ __isl_keep isl_multi_aff *maff);
+ __isl_give isl_printer *isl_printer_print_pw_multi_aff(
+ __isl_take isl_printer *p,
+ __isl_keep isl_pw_multi_aff *pma);
+
=head2 Points
Points are elements of a set. They can be used to construct
The coordinates of a point can be inspected, set and changed
using
- void isl_point_get_coordinate(__isl_keep isl_point *pnt,
+ int isl_point_get_coordinate(__isl_keep isl_point *pnt,
enum isl_dim_type type, int pos, isl_int *v);
__isl_give isl_point *isl_point_set_coordinate(
__isl_take isl_point *pnt,
[n] -> { [x] -> [y] : x,y >= 0 and 0 <= x + y <= n }
-=head3 Printing (Piecewise) Quasipolynomials
+=head3 Input and Output
+
+Piecewise quasipolynomials can be read from input using
+
+ __isl_give isl_union_pw_qpolynomial *
+ isl_union_pw_qpolynomial_read_from_str(
+ isl_ctx *ctx, const char *str);
Quasipolynomials and piecewise quasipolynomials can be printed
using the following functions.
__isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_intersect_domain(
__isl_take isl_pw_qpolynomial *pwpq,
__isl_take isl_set *set);
+ __isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_intersect_params(
+ __isl_take isl_pw_qpolynomial *pwpq,
+ __isl_take isl_set *set);
__isl_give isl_union_set *isl_union_pw_qpolynomial_domain(
__isl_take isl_union_pw_qpolynomial *upwqp);
__isl_give isl_union_pw_qpolynomial *isl_union_pw_qpolynomial_intersect_domain(
__isl_take isl_union_pw_qpolynomial *upwpq,
__isl_take isl_union_set *uset);
+ __isl_give isl_union_pw_qpolynomial *
+ isl_union_pw_qpolynomial_intersect_params(
+ __isl_take isl_union_pw_qpolynomial *upwpq,
+ __isl_take isl_set *set);
__isl_give isl_qpolynomial *isl_qpolynomial_align_params(
__isl_take isl_qpolynomial *qp,
__isl_take isl_union_pw_qpolynomial_fold *upwf,
__isl_take isl_point *pnt);
+ __isl_give isl_pw_qpolynomial_fold *
+ sl_pw_qpolynomial_fold_intersect_params(
+ __isl_take isl_pw_qpolynomial_fold *pwf,
+ __isl_take isl_set *set);
+
__isl_give isl_union_set *isl_union_pw_qpolynomial_fold_domain(
__isl_take isl_union_pw_qpolynomial_fold *upwf);
__isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_intersect_domain(
__isl_take isl_union_pw_qpolynomial_fold *upwf,
__isl_take isl_union_set *uset);
+ __isl_give isl_union_pw_qpolynomial_fold *
+ isl_union_pw_qpolynomial_fold_intersect_params(
+ __isl_take isl_union_pw_qpolynomial_fold *upwf,
+ __isl_take isl_set *set);
__isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_project_domain_on_params(
__isl_take isl_pw_qpolynomial_fold *pwf);
__isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_coalesce(
__isl_take isl_union_pw_qpolynomial_fold *upwf);
+ __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_gist(
+ __isl_take isl_qpolynomial_fold *fold,
+ __isl_take isl_set *context);
+
__isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_gist(
__isl_take isl_pw_qpolynomial_fold *pwf,
__isl_take isl_set *context);
of which of the source access relations was the last
to access the same data element before the given iteration
of the sink access.
+The resulting dependence relations map source iterations
+to the corresponding sink iterations.
To compute standard flow dependences, the sink should be
a read, while the sources should be writes.
If any of the source accesses are marked as being I<may>
-accesses, then there will be a dependence to the last
-I<must> access B<and> to any I<may> access that follows
+accesses, then there will be a dependence from the last
+I<must> access B<and> from any I<may> access that follows
this last I<must> access.
In particular, if I<all> sources are I<may> accesses,
then memory based dependence analysis is performed.
projects / platform / upstream / isl.git / blobdiff