/*
* Copyright 2008-2009 Katholieke Universiteit Leuven
* Copyright 2010 INRIA Saclay
- * Copyright 2012 Ecole Normale Superieure
+ * Copyright 2012-2013 Ecole Normale Superieure
*
* Use of this software is governed by the MIT license
*
#include <isl/blk.h>
#include "isl_space_private.h"
#include "isl_equalities.h"
-#include <isl_list_private.h>
#include <isl/lp.h>
#include <isl/seq.h>
#include <isl/set.h>
#include <isl_local_space_private.h>
#include <isl_aff_private.h>
#include <isl_options_private.h>
+#include <isl_morph.h>
+#include <isl_val_private.h>
static unsigned n(__isl_keep isl_space *dim, enum isl_dim_type type)
{
return div;
}
+/* Extract the divs in "bset" as a matrix.
+ */
+__isl_give isl_mat *isl_basic_set_get_divs(__isl_keep isl_basic_set *bset)
+{
+ return isl_basic_map_get_divs(bset);
+}
+
__isl_give isl_local_space *isl_basic_map_get_local_space(
__isl_keep isl_basic_map *bmap)
{
return isl_basic_map_drop_equality((struct isl_basic_map *)bset, pos);
}
+/* Turn inequality "pos" of "bmap" into an equality.
+ *
+ * In particular, we move the inequality in front of the equalities
+ * and move the last inequality in the position of the moved inequality.
+ * Note that isl_tab_make_equalities_explicit depends on this particular
+ * change in the ordering of the constraints.
+ */
void isl_basic_map_inequality_to_equality(
struct isl_basic_map *bmap, unsigned pos)
{
unsigned dim;
unsigned nparam;
+ if (!bset)
+ return NULL;
+
nparam = isl_basic_set_n_param(bset);
dim = isl_basic_set_n_dim(bset);
isl_assert(bset->ctx, n <= dim, goto error);
isl_basic_map_set_to_empty((struct isl_basic_map *)bset);
}
-void isl_basic_map_swap_div(struct isl_basic_map *bmap, int a, int b)
+/* Swap divs "a" and "b" in "bmap" (without modifying any of the constraints
+ * of "bmap").
+ */
+static void swap_div(__isl_keep isl_basic_map *bmap, int a, int b)
{
- int i;
- unsigned off = isl_space_dim(bmap->dim, isl_dim_all);
isl_int *t = bmap->div[a];
bmap->div[a] = bmap->div[b];
bmap->div[b] = t;
+}
+
+/* Swap divs "a" and "b" in "bmap" and adjust the constraints and
+ * div definitions accordingly.
+ */
+void isl_basic_map_swap_div(struct isl_basic_map *bmap, int a, int b)
+{
+ int i;
+ unsigned off = isl_space_dim(bmap->dim, isl_dim_all);
+
+ swap_div(bmap, a, b);
for (i = 0; i < bmap->n_eq; ++i)
isl_int_swap(bmap->eq[i][1+off+a], bmap->eq[i][1+off+b]);
unsigned total;
isl_int s;
+ if (!bmap || !vec)
+ return -1;
+
total = 1 + isl_basic_map_total_dim(bmap);
if (total != vec->size)
return -1;
__isl_take isl_map *map2)
{
unsigned flags = 0;
- isl_map *result = NULL;
+ isl_map *result;
int i, j;
if (!map1 || !map2)
isl_basic_map_copy(map1->p[i]),
isl_basic_map_copy(map2->p[j]));
if (isl_basic_map_is_empty(part) < 0)
- goto error;
+ part = isl_basic_map_free(part);
result = isl_map_add_basic_map(result, part);
if (!result)
goto error;
error:
isl_map_free(map1);
isl_map_free(map2);
- isl_map_free(result);
return NULL;
}
{
isl_space *space;
+ if (!bmap)
+ return NULL;
if (!isl_space_is_named_or_nested(bmap->dim, type))
return bmap;
res = isl_basic_map_set_rational(res);
if (isl_basic_map_plain_is_empty(bmap)) {
isl_basic_map_free(bmap);
+ free(dim_map);
return isl_basic_map_set_to_empty(res);
}
res = isl_basic_map_add_constraints_dim_map(res, bmap, dim_map);
res = isl_basic_map_alloc_space(isl_basic_map_get_space(bmap),
bmap->n_div, bmap->n_eq, bmap->n_ineq);
bmap = isl_basic_map_add_constraints_dim_map(res, bmap, dim_map);
+ if (!bmap)
+ goto error;
bmap->dim = isl_space_move_dims(bmap->dim, dst_type, dst_pos,
src_type, src_pos, n);
return res;
}
-/* Turn the n dimensions of type type, starting at first
- * into existentially quantified variables.
+/* Insert "n" rows in the divs of "bmap".
+ *
+ * The number of columns is not changed, which means that the last
+ * dimensions of "bmap" are being reintepreted as the new divs.
+ * The space of "bmap" is not adjusted, however, which means
+ * that "bmap" is left in an inconsistent state. Removing "n" dimensions
+ * from the space of "bmap" is the responsibility of the caller.
*/
-__isl_give isl_basic_map *isl_basic_map_project_out(
- __isl_take isl_basic_map *bmap,
- enum isl_dim_type type, unsigned first, unsigned n)
+static __isl_give isl_basic_map *insert_div_rows(__isl_take isl_basic_map *bmap,
+ int n)
{
int i;
size_t row_size;
isl_int **new_div;
isl_int *old;
- if (n == 0)
- return basic_map_space_reset(bmap, type);
-
- if (!bmap)
- return NULL;
-
- if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL))
- return isl_basic_map_remove_dims(bmap, type, first, n);
-
- isl_assert(bmap->ctx, first + n <= isl_basic_map_dim(bmap, type),
- goto error);
-
- bmap = move_last(bmap, type, first, n);
bmap = isl_basic_map_cow(bmap);
if (!bmap)
return NULL;
bmap->block2 = isl_blk_extend(bmap->ctx, bmap->block2,
(bmap->extra + n) * (1 + row_size));
if (!bmap->block2.data)
- goto error;
+ return isl_basic_map_free(bmap);
new_div = isl_alloc_array(bmap->ctx, isl_int *, bmap->extra + n);
if (!new_div)
- goto error;
+ return isl_basic_map_free(bmap);
for (i = 0; i < n; ++i) {
new_div[i] = bmap->block2.data +
(bmap->extra + i) * (1 + row_size);
bmap->n_div += n;
bmap->extra += n;
+ return bmap;
+}
+
+/* Turn the n dimensions of type type, starting at first
+ * into existentially quantified variables.
+ */
+__isl_give isl_basic_map *isl_basic_map_project_out(
+ __isl_take isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned first, unsigned n)
+{
+ if (n == 0)
+ return basic_map_space_reset(bmap, type);
+
+ if (!bmap)
+ return NULL;
+
+ if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL))
+ return isl_basic_map_remove_dims(bmap, type, first, n);
+
+ isl_assert(bmap->ctx, first + n <= isl_basic_map_dim(bmap, type),
+ goto error);
+
+ bmap = move_last(bmap, type, first, n);
+ bmap = isl_basic_map_cow(bmap);
+ bmap = insert_div_rows(bmap, n);
+ if (!bmap)
+ return NULL;
+
bmap->dim = isl_space_drop_dims(bmap->dim, type, first, n);
if (!bmap->dim)
goto error;
return NULL;
}
+/* Given a map A -> f(A) and an integer d, construct a map
+ * A -> floor(f(A)/d).
+ */
+__isl_give isl_map *isl_map_floordiv_val(__isl_take isl_map *map,
+ __isl_take isl_val *d)
+{
+ if (!map || !d)
+ goto error;
+ if (!isl_val_is_int(d))
+ isl_die(isl_val_get_ctx(d), isl_error_invalid,
+ "expecting integer denominator", goto error);
+ map = isl_map_floordiv(map, d->n);
+ isl_val_free(d);
+ return map;
+error:
+ isl_map_free(map);
+ isl_val_free(d);
+ return NULL;
+}
+
static struct isl_basic_map *var_equal(struct isl_basic_map *bmap, unsigned pos)
{
int i;
bmap = isl_basic_map_extend_constraints(bmap,
0, 2 * like->n_div);
for (i = 0; i < like->n_div; ++i) {
+ if (!bmap)
+ break;
if (isl_int_is_zero(bmap->div[i][0]))
continue;
if (isl_basic_map_add_div_constraints(bmap, i) < 0)
- goto error;
+ bmap = isl_basic_map_free(bmap);
}
}
isl_basic_map_free(like);
return NULL;
}
+/* Fix the value of the variable at position "pos" of type "type" of "bmap"
+ * to be equal to "v".
+ */
+__isl_give isl_basic_map *isl_basic_map_fix_val(__isl_take isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos, __isl_take isl_val *v)
+{
+ if (!bmap || !v)
+ goto error;
+ if (!isl_val_is_int(v))
+ isl_die(isl_basic_map_get_ctx(bmap), isl_error_invalid,
+ "expecting integer value", goto error);
+ if (pos >= isl_basic_map_dim(bmap, type))
+ isl_die(isl_basic_map_get_ctx(bmap), isl_error_invalid,
+ "index out of bounds", goto error);
+ pos += isl_basic_map_offset(bmap, type);
+ bmap = isl_basic_map_fix_pos(bmap, pos, v->n);
+ isl_val_free(v);
+ return bmap;
+error:
+ isl_basic_map_free(bmap);
+ isl_val_free(v);
+ return NULL;
+}
+
+/* Fix the value of the variable at position "pos" of type "type" of "bset"
+ * to be equal to "v".
+ */
+__isl_give isl_basic_set *isl_basic_set_fix_val(__isl_take isl_basic_set *bset,
+ enum isl_dim_type type, unsigned pos, __isl_take isl_val *v)
+{
+ return isl_basic_map_fix_val(bset, type, pos, v);
+}
+
struct isl_basic_set *isl_basic_set_fix_si(struct isl_basic_set *bset,
enum isl_dim_type type, unsigned pos, int value)
{
return 0;
}
+/* Perform "fn" on each basic map of "map", where we may not be holding
+ * the only reference to "map".
+ * In particular, "fn" should be a semantics preserving operation
+ * that we want to apply to all copies of "map". We therefore need
+ * to be careful not to modify "map" in a way that breaks "map"
+ * in case anything goes wrong.
+ */
+__isl_give isl_map *isl_map_inline_foreach_basic_map(__isl_take isl_map *map,
+ __isl_give isl_basic_map *(*fn)(__isl_take isl_basic_map *bmap))
+{
+ struct isl_basic_map *bmap;
+ int i;
+
+ if (!map)
+ return NULL;
+
+ for (i = map->n - 1; i >= 0; --i) {
+ bmap = isl_basic_map_copy(map->p[i]);
+ bmap = fn(bmap);
+ if (!bmap)
+ goto error;
+ isl_basic_map_free(map->p[i]);
+ map->p[i] = bmap;
+ if (remove_if_empty(map, i) < 0)
+ goto error;
+ }
+
+ return map;
+error:
+ isl_map_free(map);
+ return NULL;
+}
+
struct isl_map *isl_map_fix_si(struct isl_map *map,
enum isl_dim_type type, unsigned pos, int value)
{
return (struct isl_set *)isl_map_fix((isl_map *)set, type, pos, value);
}
+/* Fix the value of the variable at position "pos" of type "type" of "map"
+ * to be equal to "v".
+ */
+__isl_give isl_map *isl_map_fix_val(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned pos, __isl_take isl_val *v)
+{
+ int i;
+
+ map = isl_map_cow(map);
+ if (!map || !v)
+ goto error;
+
+ if (!isl_val_is_int(v))
+ isl_die(isl_map_get_ctx(map), isl_error_invalid,
+ "expecting integer value", goto error);
+ if (pos >= isl_map_dim(map, type))
+ isl_die(isl_map_get_ctx(map), isl_error_invalid,
+ "index out of bounds", goto error);
+ for (i = map->n - 1; i >= 0; --i) {
+ map->p[i] = isl_basic_map_fix_val(map->p[i], type, pos,
+ isl_val_copy(v));
+ if (remove_if_empty(map, i) < 0)
+ goto error;
+ }
+ ISL_F_CLR(map, ISL_MAP_NORMALIZED);
+ isl_val_free(v);
+ return map;
+error:
+ isl_map_free(map);
+ isl_val_free(v);
+ return NULL;
+}
+
+/* Fix the value of the variable at position "pos" of type "type" of "set"
+ * to be equal to "v".
+ */
+__isl_give isl_set *isl_set_fix_val(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned pos, __isl_take isl_val *v)
+{
+ return isl_map_fix_val(set, type, pos, v);
+}
+
struct isl_map *isl_map_fix_input_si(struct isl_map *map,
unsigned input, int value)
{
return isl_map_upper_bound(set, type, pos, value);
}
+/* Force the values of the variable at position "pos" of type "type" of "set"
+ * to be no smaller than "value".
+ */
+__isl_give isl_set *isl_set_lower_bound_val(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned pos, __isl_take isl_val *value)
+{
+ if (!value)
+ goto error;
+ if (!isl_val_is_int(value))
+ isl_die(isl_set_get_ctx(set), isl_error_invalid,
+ "expecting integer value", goto error);
+ set = isl_set_lower_bound(set, type, pos, value->n);
+ isl_val_free(value);
+ return set;
+error:
+ isl_val_free(value);
+ isl_set_free(set);
+ return NULL;
+}
+
+/* Force the values of the variable at position "pos" of type "type" of "set"
+ * to be no greater than "value".
+ */
+__isl_give isl_set *isl_set_upper_bound_val(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned pos, __isl_take isl_val *value)
+{
+ if (!value)
+ goto error;
+ if (!isl_val_is_int(value))
+ isl_die(isl_set_get_ctx(set), isl_error_invalid,
+ "expecting integer value", goto error);
+ set = isl_set_upper_bound(set, type, pos, value->n);
+ isl_val_free(value);
+ return set;
+error:
+ isl_val_free(value);
+ isl_set_free(set);
+ return NULL;
+}
+
struct isl_set *isl_set_lower_bound_dim(struct isl_set *set, unsigned dim,
isl_int value)
{
dom, empty);
}
+/* Compute the lexicographic minimum (or maximum if "max" is set)
+ * of "bmap" over its domain.
+ *
+ * Since we are not interested in the part of the domain space where
+ * there is no solution, we initialize the domain to those constraints
+ * of "bmap" that only involve the parameters and the input dimensions.
+ * This relieves the parametric programming engine from detecting those
+ * inequalities and transferring them to the context. More importantly,
+ * it ensures that those inequalities are transferred first and not
+ * intermixed with inequalities that actually split the domain.
+ */
__isl_give isl_map *isl_basic_map_lexopt(__isl_take isl_basic_map *bmap, int max)
{
- struct isl_basic_set *dom = NULL;
- isl_space *dom_dim;
+ int n_div;
+ int n_out;
+ isl_basic_map *copy;
+ isl_basic_set *dom;
- if (!bmap)
- goto error;
- dom_dim = isl_space_domain(isl_space_copy(bmap->dim));
- dom = isl_basic_set_universe(dom_dim);
+ n_div = isl_basic_map_dim(bmap, isl_dim_div);
+ n_out = isl_basic_map_dim(bmap, isl_dim_out);
+ copy = isl_basic_map_copy(bmap);
+ copy = isl_basic_map_drop_constraints_involving_dims(copy,
+ isl_dim_div, 0, n_div);
+ copy = isl_basic_map_drop_constraints_involving_dims(copy,
+ isl_dim_out, 0, n_out);
+ dom = isl_basic_map_domain(copy);
return isl_basic_map_partial_lexopt(bmap, dom, NULL, max);
-error:
- isl_basic_map_free(bmap);
- return NULL;
}
__isl_give isl_map *isl_basic_map_lexmin(__isl_take isl_basic_map *bmap)
return (isl_set *)isl_basic_map_lexmax((isl_basic_map *)bset);
}
-__isl_give isl_set *isl_set_lexmin(__isl_take isl_set *set)
-{
- return (isl_set *)isl_map_lexmin((isl_map *)set);
-}
-
-__isl_give isl_set *isl_set_lexmax(__isl_take isl_set *set)
-{
- return (isl_set *)isl_map_lexmax((isl_map *)set);
-}
-
/* Extract the first and only affine expression from list
* and then add it to *pwaff with the given dom.
* This domain is known to be disjoint from other domains
return NULL;
}
+/* Given a basic set "bset" that only involves parameters and existentially
+ * quantified variables, return the index of the first equality
+ * that only involves parameters. If there is no such equality then
+ * return bset->n_eq.
+ *
+ * This function assumes that isl_basic_set_gauss has been called on "bset".
+ */
+static int first_parameter_equality(__isl_keep isl_basic_set *bset)
+{
+ int i, j;
+ unsigned nparam, n_div;
+
+ if (!bset)
+ return -1;
+
+ nparam = isl_basic_set_dim(bset, isl_dim_param);
+ n_div = isl_basic_set_dim(bset, isl_dim_div);
+
+ for (i = 0, j = n_div - 1; i < bset->n_eq && j >= 0; --j) {
+ if (!isl_int_is_zero(bset->eq[i][1 + nparam + j]))
+ ++i;
+ }
+
+ return i;
+}
+
+/* Compute an explicit representation for the existentially quantified
+ * variables in "bset" by computing the "minimal value" of the set
+ * variables. Since there are no set variables, the computation of
+ * the minimal value essentially computes an explicit representation
+ * of the non-empty part(s) of "bset".
+ *
+ * The input only involves parameters and existentially quantified variables.
+ * All equalities among parameters have been removed.
+ *
+ * Since the existentially quantified variables in the result are in general
+ * going to be different from those in the input, we first replace
+ * them by the minimal number of variables based on their equalities.
+ * This should simplify the parametric integer programming.
+ */
+static __isl_give isl_set *base_compute_divs(__isl_take isl_basic_set *bset)
+{
+ isl_morph *morph1, *morph2;
+ isl_set *set;
+ unsigned n;
+
+ if (!bset)
+ return NULL;
+ if (bset->n_eq == 0)
+ return isl_basic_set_lexmin(bset);
+
+ morph1 = isl_basic_set_parameter_compression(bset);
+ bset = isl_morph_basic_set(isl_morph_copy(morph1), bset);
+ bset = isl_basic_set_lift(bset);
+ morph2 = isl_basic_set_variable_compression(bset, isl_dim_set);
+ bset = isl_morph_basic_set(morph2, bset);
+ n = isl_basic_set_dim(bset, isl_dim_set);
+ bset = isl_basic_set_project_out(bset, isl_dim_set, 0, n);
+
+ set = isl_basic_set_lexmin(bset);
+
+ set = isl_morph_set(isl_morph_inverse(morph1), set);
+
+ return set;
+}
+
/* Project the given basic set onto its parameter domain, possibly introducing
* new, explicit, existential variables in the constraints.
* The input has parameters and (possibly implicit) existential variables.
* among the parameters by performing a variable compression on
* the parameters. Afterward, an inverse transformation is performed
* and the equalities among the parameters are inserted back in.
+ *
+ * The variable compression on the parameters may uncover additional
+ * equalities that were only implicit before. We therefore check
+ * if there are any new parameter equalities in the result and
+ * if so recurse. The removal of parameter equalities is required
+ * for the parameter compression performed by base_compute_divs.
*/
static struct isl_set *parameter_compute_divs(struct isl_basic_set *bset)
{
- int i, j;
+ int i;
struct isl_mat *eq;
struct isl_mat *T, *T2;
struct isl_set *set;
- unsigned nparam, n_div;
+ unsigned nparam;
bset = isl_basic_set_cow(bset);
if (!bset)
return NULL;
if (bset->n_eq == 0)
- return isl_basic_set_lexmin(bset);
-
- isl_basic_set_gauss(bset, NULL);
+ return base_compute_divs(bset);
- nparam = isl_basic_set_dim(bset, isl_dim_param);
- n_div = isl_basic_set_dim(bset, isl_dim_div);
+ bset = isl_basic_set_gauss(bset, NULL);
+ if (!bset)
+ return NULL;
+ if (isl_basic_set_plain_is_empty(bset))
+ return isl_set_from_basic_set(bset);
- for (i = 0, j = n_div - 1; i < bset->n_eq && j >= 0; --j) {
- if (!isl_int_is_zero(bset->eq[i][1 + nparam + j]))
- ++i;
- }
+ i = first_parameter_equality(bset);
if (i == bset->n_eq)
- return isl_basic_set_lexmin(bset);
+ return base_compute_divs(bset);
+ nparam = isl_basic_set_dim(bset, isl_dim_param);
eq = isl_mat_sub_alloc6(bset->ctx, bset->eq, i, bset->n_eq - i,
0, 1 + nparam);
eq = isl_mat_cow(eq);
}
bset = basic_set_parameter_preimage(bset, T);
- set = isl_basic_set_lexmin(bset);
+ i = first_parameter_equality(bset);
+ if (!bset)
+ set = NULL;
+ else if (i == bset->n_eq)
+ set = base_compute_divs(bset);
+ else
+ set = parameter_compute_divs(bset);
set = set_parameter_preimage(set, T2);
set = set_append_equalities(set, eq);
return set;
}
-/* Compute an explicit representation for all the existentially
- * quantified variables.
- * The input and output dimensions are first turned into parameters.
- * compute_divs then returns a map with the same parameters and
- * no input or output dimensions and the dimension specification
- * is reset to that of the input.
+/* Insert the divs from "ls" before those of "bmap".
+ *
+ * The number of columns is not changed, which means that the last
+ * dimensions of "bmap" are being reintepreted as the divs from "ls".
+ * The caller is responsible for removing the same number of dimensions
+ * from the space of "bmap".
*/
-static struct isl_map *compute_divs(struct isl_basic_map *bmap)
+static __isl_give isl_basic_map *insert_divs_from_local_space(
+ __isl_take isl_basic_map *bmap, __isl_keep isl_local_space *ls)
{
- struct isl_basic_set *bset;
- struct isl_set *set;
+ int i;
+ int n_div;
+ int old_n_div;
+
+ n_div = isl_local_space_dim(ls, isl_dim_div);
+ if (n_div == 0)
+ return bmap;
+
+ old_n_div = bmap->n_div;
+ bmap = insert_div_rows(bmap, n_div);
+ if (!bmap)
+ return NULL;
+
+ for (i = 0; i < n_div; ++i) {
+ isl_seq_cpy(bmap->div[i], ls->div->row[i], ls->div->n_col);
+ isl_seq_clr(bmap->div[i] + ls->div->n_col, old_n_div);
+ }
+
+ return bmap;
+}
+
+/* Replace the space of "bmap" by the space and divs of "ls".
+ *
+ * If "ls" has any divs, then we simplify the result since we may
+ * have discovered some additional equalities that could simplify
+ * the div expressions.
+ */
+static __isl_give isl_basic_map *basic_replace_space_by_local_space(
+ __isl_take isl_basic_map *bmap, __isl_take isl_local_space *ls)
+{
+ int n_div;
+
+ bmap = isl_basic_map_cow(bmap);
+ if (!bmap || !ls)
+ goto error;
+
+ n_div = isl_local_space_dim(ls, isl_dim_div);
+ bmap = insert_divs_from_local_space(bmap, ls);
+ if (!bmap)
+ goto error;
+
+ isl_space_free(bmap->dim);
+ bmap->dim = isl_local_space_get_space(ls);
+ if (!bmap->dim)
+ goto error;
+
+ isl_local_space_free(ls);
+ if (n_div > 0)
+ bmap = isl_basic_map_simplify(bmap);
+ bmap = isl_basic_map_finalize(bmap);
+ return bmap;
+error:
+ isl_basic_map_free(bmap);
+ isl_local_space_free(ls);
+ return NULL;
+}
+
+/* Replace the space of "map" by the space and divs of "ls".
+ */
+static __isl_give isl_map *replace_space_by_local_space(__isl_take isl_map *map,
+ __isl_take isl_local_space *ls)
+{
+ int i;
+
+ map = isl_map_cow(map);
+ if (!map || !ls)
+ goto error;
+
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = basic_replace_space_by_local_space(map->p[i],
+ isl_local_space_copy(ls));
+ if (!map->p[i])
+ goto error;
+ }
+ isl_space_free(map->dim);
+ map->dim = isl_local_space_get_space(ls);
+ if (!map->dim)
+ goto error;
+
+ isl_local_space_free(ls);
+ return map;
+error:
+ isl_local_space_free(ls);
+ isl_map_free(map);
+ return NULL;
+}
+
+/* Compute an explicit representation for the existentially
+ * quantified variables for which do not know any explicit representation yet.
+ *
+ * We first sort the existentially quantified variables so that the
+ * existentially quantified variables for which we already have an explicit
+ * representation are placed before those for which we do not.
+ * The input dimensions, the output dimensions and the existentially
+ * quantified variables for which we already have an explicit
+ * representation are then turned into parameters.
+ * compute_divs returns a map with the same parameters and
+ * no input or output dimensions and the dimension specification
+ * is reset to that of the input, including the existentially quantified
+ * variables for which we already had an explicit representation.
+ */
+static struct isl_map *compute_divs(struct isl_basic_map *bmap)
+{
+ struct isl_basic_set *bset;
+ struct isl_set *set;
struct isl_map *map;
- isl_space *dim, *orig_dim = NULL;
+ isl_space *dim;
+ isl_local_space *ls;
unsigned nparam;
unsigned n_in;
unsigned n_out;
+ unsigned n_known;
+ int i;
+ bmap = isl_basic_map_sort_divs(bmap);
bmap = isl_basic_map_cow(bmap);
if (!bmap)
return NULL;
+ for (n_known = 0; n_known < bmap->n_div; ++n_known)
+ if (isl_int_is_zero(bmap->div[n_known][0]))
+ break;
+
nparam = isl_basic_map_dim(bmap, isl_dim_param);
n_in = isl_basic_map_dim(bmap, isl_dim_in);
n_out = isl_basic_map_dim(bmap, isl_dim_out);
- dim = isl_space_set_alloc(bmap->ctx, nparam + n_in + n_out, 0);
+ dim = isl_space_set_alloc(bmap->ctx,
+ nparam + n_in + n_out + n_known, 0);
if (!dim)
goto error;
- orig_dim = bmap->dim;
- bmap->dim = dim;
+ ls = isl_basic_map_get_local_space(bmap);
+ ls = isl_local_space_drop_dims(ls, isl_dim_div,
+ n_known, bmap->n_div - n_known);
+ if (n_known > 0) {
+ for (i = n_known; i < bmap->n_div; ++i)
+ swap_div(bmap, i - n_known, i);
+ bmap->n_div -= n_known;
+ bmap->extra -= n_known;
+ }
+ bmap = isl_basic_map_reset_space(bmap, dim);
bset = (struct isl_basic_set *)bmap;
set = parameter_compute_divs(bset);
map = (struct isl_map *)set;
- map = isl_map_reset_space(map, orig_dim);
+ map = replace_space_by_local_space(map, ls);
return map;
error:
for (i = 0; i < dim; ++i) {
int j = isl_basic_map_alloc_equality(
(struct isl_basic_map *)bset);
- if (j < 0)
- goto error;
+ if (j < 0) {
+ bset = isl_basic_set_free(bset);
+ break;
+ }
isl_seq_clr(bset->eq[j], 1 + isl_basic_set_total_dim(bset));
isl_int_set_si(bset->eq[j][1+nparam+i], 1);
isl_int_set_si(bset->eq[j][1+nparam+dim+i], 1);
if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL)) {
struct isl_basic_map *copy = isl_basic_map_copy(bmap);
copy = isl_basic_map_remove_redundancies(copy);
- empty = ISL_F_ISSET(copy, ISL_BASIC_MAP_EMPTY);
+ empty = isl_basic_map_plain_is_empty(copy);
isl_basic_map_free(copy);
return empty;
}
isl_die(isl_mat_get_ctx(div), isl_error_invalid,
"not an expansion", goto error);
+ n_div = bset->n_div;
bset = isl_basic_map_extend_space(bset, isl_space_copy(bset->dim),
- div->n_row - bset->n_div, 0,
- 2 * (div->n_row - bset->n_div));
+ div->n_row - n_div, 0,
+ 2 * (div->n_row - n_div));
- n_div = bset->n_div;
for (i = n_div; i < div->n_row; ++i)
if (isl_basic_set_alloc_div(bset) < 0)
goto error;
src = isl_basic_map_order_divs(src);
dst = isl_basic_map_cow(dst);
+ if (!dst)
+ return NULL;
dst = isl_basic_map_extend_space(dst, isl_space_copy(dst->dim),
src->n_div, 0, 2 * src->n_div);
if (!dst)
for (i = 1; i < map->n; ++i)
map->p[0] = isl_basic_map_align_divs(map->p[0], map->p[i]);
- for (i = 1; i < map->n; ++i)
+ for (i = 1; i < map->n; ++i) {
map->p[i] = isl_basic_map_align_divs(map->p[i], map->p[0]);
+ if (!map->p[i])
+ return isl_map_free(map);
+ }
ISL_F_CLR(map, ISL_MAP_NORMALIZED);
return map;
total = isl_basic_map_total_dim(bmap1);
ctx = bmap1->ctx;
obj = isl_vec_alloc(ctx, 1 + total);
+ if (!obj)
+ goto error2;
isl_seq_clr(obj->block.data, 1 + total);
isl_int_set_si(obj->block.data[1+nparam+pos], 1);
isl_int_set_si(obj->block.data[1+nparam+pos+(dim1-pos)], -1);
- if (!obj)
- goto error;
res = isl_basic_map_solve_lp(bmap1, 1, obj->block.data, ctx->one,
opt, NULL, NULL);
isl_basic_map_free(bmap1);
isl_vec_free(obj);
return res;
error:
- isl_basic_map_free(bmap1);
isl_basic_map_free(bmap2);
+error2:
+ isl_basic_map_free(bmap1);
return isl_lp_error;
}
isl_basic_map_offset(bmap, type) - 1 + pos, val);
}
+/* If "bmap" obviously lies on a hyperplane where the given dimension
+ * has a fixed value, then return that value.
+ * Otherwise return NaN.
+ */
+__isl_give isl_val *isl_basic_map_plain_get_val_if_fixed(
+ __isl_keep isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos)
+{
+ isl_ctx *ctx;
+ isl_val *v;
+ int fixed;
+
+ if (!bmap)
+ return NULL;
+ ctx = isl_basic_map_get_ctx(bmap);
+ v = isl_val_alloc(ctx);
+ if (!v)
+ return NULL;
+ fixed = isl_basic_map_plain_is_fixed(bmap, type, pos, &v->n);
+ if (fixed < 0)
+ return isl_val_free(v);
+ if (fixed) {
+ isl_int_set_si(v->d, 1);
+ return v;
+ }
+ isl_val_free(v);
+ return isl_val_nan(ctx);
+}
+
int isl_map_plain_is_fixed(__isl_keep isl_map *map,
enum isl_dim_type type, unsigned pos, isl_int *val)
{
map_offset(map, type) - 1 + pos, val);
}
+/* If "map" obviously lies on a hyperplane where the given dimension
+ * has a fixed value, then return that value.
+ * Otherwise return NaN.
+ */
+__isl_give isl_val *isl_map_plain_get_val_if_fixed(__isl_keep isl_map *map,
+ enum isl_dim_type type, unsigned pos)
+{
+ isl_ctx *ctx;
+ isl_val *v;
+ int fixed;
+
+ if (!map)
+ return NULL;
+ ctx = isl_map_get_ctx(map);
+ v = isl_val_alloc(ctx);
+ if (!v)
+ return NULL;
+ fixed = isl_map_plain_is_fixed(map, type, pos, &v->n);
+ if (fixed < 0)
+ return isl_val_free(v);
+ if (fixed) {
+ isl_int_set_si(v->d, 1);
+ return v;
+ }
+ isl_val_free(v);
+ return isl_val_nan(ctx);
+}
+
+/* If "set" obviously lies on a hyperplane where the given dimension
+ * has a fixed value, then return that value.
+ * Otherwise return NaN.
+ */
+__isl_give isl_val *isl_set_plain_get_val_if_fixed(__isl_keep isl_set *set,
+ enum isl_dim_type type, unsigned pos)
+{
+ return isl_map_plain_get_val_if_fixed(set, type, pos);
+}
+
int isl_set_plain_is_fixed(__isl_keep isl_set *set,
enum isl_dim_type type, unsigned pos, isl_int *val)
{
int l1, l2;
unsigned size = isl_min(c1->size, c2->size);
- l1 = isl_seq_last_non_zero(c1->c, size);
- l2 = isl_seq_last_non_zero(c2->c, size);
+ l1 = isl_seq_last_non_zero(c1->c + 1, size);
+ l2 = isl_seq_last_non_zero(c2->c + 1, size);
if (l1 != l2)
return l1 - l2;
- return isl_seq_cmp(c1->c, c2->c, size);
+ return isl_seq_cmp(c1->c + 1, c2->c + 1, size);
}
static struct isl_basic_map *isl_basic_map_sort_constraints(
return bmap;
bmap = isl_basic_map_remove_redundancies(bmap);
bmap = isl_basic_map_sort_constraints(bmap);
- ISL_F_SET(bmap, ISL_BASIC_MAP_NORMALIZED);
+ if (bmap)
+ ISL_F_SET(bmap, ISL_BASIC_MAP_NORMALIZED);
return bmap;
}
isl_mat_free(eq);
isl_mat_free(ineq);
- return bmap;
+ bmap = isl_basic_map_simplify(bmap);
+ return isl_basic_map_finalize(bmap);
error:
isl_space_free(dim);
isl_mat_free(eq);
if (!isl_basic_map_can_curry(bmap))
isl_die(bmap->ctx, isl_error_invalid,
"basic map cannot be curried", goto error);
+ bmap = isl_basic_map_cow(bmap);
+ if (!bmap)
+ return NULL;
bmap->dim = isl_space_curry(bmap->dim);
if (!bmap->dim)
goto error;
isl_die(bmap->ctx, isl_error_invalid,
"basic map cannot be uncurried",
return isl_basic_map_free(bmap));
+ bmap = isl_basic_map_cow(bmap);
+ if (!bmap)
+ return NULL;
bmap->dim = isl_space_uncurry(bmap->dim);
if (!bmap->dim)
return isl_basic_map_free(bmap);
return bmap;
}
-/* Add a constraint imposing that the value of the first dimension is
+/* Construct a basic map where the value of the first dimension is
* greater than that of the second.
*/
-__isl_give isl_map *isl_map_order_gt(__isl_take isl_map *map,
+static __isl_give isl_basic_map *greator(__isl_take isl_space *space,
enum isl_dim_type type1, int pos1, enum isl_dim_type type2, int pos2)
{
isl_basic_map *bmap = NULL;
int i;
- if (!map)
+ if (!space)
return NULL;
- if (pos1 >= isl_map_dim(map, type1))
- isl_die(map->ctx, isl_error_invalid,
+ if (pos1 >= isl_space_dim(space, type1))
+ isl_die(isl_space_get_ctx(space), isl_error_invalid,
"index out of bounds", goto error);
- if (pos2 >= isl_map_dim(map, type2))
- isl_die(map->ctx, isl_error_invalid,
+ if (pos2 >= isl_space_dim(space, type2))
+ isl_die(isl_space_get_ctx(space), isl_error_invalid,
"index out of bounds", goto error);
- if (type1 == type2 && pos1 == pos2) {
- isl_space *space = isl_map_get_space(map);
- isl_map_free(map);
- return isl_map_empty(space);
- }
+ if (type1 == type2 && pos1 == pos2)
+ return isl_basic_map_empty(space);
- bmap = isl_basic_map_alloc_space(isl_map_get_space(map), 0, 0, 1);
+ bmap = isl_basic_map_alloc_space(space, 0, 0, 1);
i = isl_basic_map_alloc_inequality(bmap);
if (i < 0)
goto error;
isl_int_set_si(bmap->ineq[i][0], -1);
bmap = isl_basic_map_finalize(bmap);
- map = isl_map_intersect(map, isl_map_from_basic_map(bmap));
-
- return map;
+ return bmap;
error:
+ isl_space_free(space);
isl_basic_map_free(bmap);
- isl_map_free(map);
return NULL;
}
/* Add a constraint imposing that the value of the first dimension is
+ * greater than that of the second.
+ */
+__isl_give isl_basic_map *isl_basic_map_order_gt(__isl_take isl_basic_map *bmap,
+ enum isl_dim_type type1, int pos1, enum isl_dim_type type2, int pos2)
+{
+ isl_basic_map *gt;
+
+ gt = greator(isl_basic_map_get_space(bmap), type1, pos1, type2, pos2);
+
+ bmap = isl_basic_map_intersect(bmap, gt);
+
+ return bmap;
+}
+
+/* Add a constraint imposing that the value of the first dimension is
+ * greater than that of the second.
+ */
+__isl_give isl_map *isl_map_order_gt(__isl_take isl_map *map,
+ enum isl_dim_type type1, int pos1, enum isl_dim_type type2, int pos2)
+{
+ isl_basic_map *bmap;
+
+ bmap = greator(isl_map_get_space(map), type1, pos1, type2, pos2);
+
+ map = isl_map_intersect(map, isl_map_from_basic_map(bmap));
+
+ return map;
+}
+
+/* Add a constraint imposing that the value of the first dimension is
* smaller than that of the second.
*/
__isl_give isl_map *isl_map_order_lt(__isl_take isl_map *map,
return NULL;
}
-/* Check if the range of "ma" is compatible with "space".
+/* Check if the range of "ma" is compatible with the domain or range
+ * (depending on "type") of "bmap".
* Return -1 if anything is wrong.
*/
-static int check_space_compatible_range_multi_aff(
- __isl_keep isl_space *space, __isl_keep isl_multi_aff *ma)
+static int check_basic_map_compatible_range_multi_aff(
+ __isl_keep isl_basic_map *bmap, enum isl_dim_type type,
+ __isl_keep isl_multi_aff *ma)
{
int m;
isl_space *ma_space;
ma_space = isl_multi_aff_get_space(ma);
- m = isl_space_is_range_internal(space, ma_space);
+ m = isl_space_tuple_match(bmap->dim, type, ma_space, isl_dim_out);
isl_space_free(ma_space);
if (m >= 0 && !m)
- isl_die(isl_space_get_ctx(space), isl_error_invalid,
+ isl_die(isl_basic_map_get_ctx(bmap), isl_error_invalid,
"spaces don't match", return -1);
return m;
}
-/* Check if the range of "ma" is compatible with "bset".
- * Return -1 if anything is wrong.
- */
-static int check_basic_set_compatible_range_multi_aff(
- __isl_keep isl_basic_set *bset, __isl_keep isl_multi_aff *ma)
-{
- return check_space_compatible_range_multi_aff(bset->dim, ma);
-}
-
-/* Copy the divs from "ma" to "bset", adding zeros for the coefficients
- * of the other divs in "bset".
+/* Copy the divs from "ma" to "bmap", adding zeros for the "n_before"
+ * coefficients before the transformed range of dimensions,
+ * the "n_after" coefficients after the transformed range of dimensions
+ * and the coefficients of the other divs in "bmap".
*/
-static int set_ma_divs(__isl_keep isl_basic_set *bset,
- __isl_keep isl_multi_aff *ma, int n_div)
+static int set_ma_divs(__isl_keep isl_basic_map *bmap,
+ __isl_keep isl_multi_aff *ma, int n_before, int n_after, int n_div)
{
int i;
+ int n_param;
+ int n_set;
isl_local_space *ls;
if (n_div == 0)
if (!ls)
return -1;
+ n_param = isl_local_space_dim(ls, isl_dim_param);
+ n_set = isl_local_space_dim(ls, isl_dim_set);
for (i = 0; i < n_div; ++i) {
- isl_seq_cpy(bset->div[i], ls->div->row[i], ls->div->n_col);
- isl_seq_clr(bset->div[i] + ls->div->n_col, bset->n_div - n_div);
- if (isl_basic_set_add_div_constraints(bset, i) < 0)
+ int o_bmap = 0, o_ls = 0;
+
+ isl_seq_cpy(bmap->div[i], ls->div->row[i], 1 + 1 + n_param);
+ o_bmap += 1 + 1 + n_param;
+ o_ls += 1 + 1 + n_param;
+ isl_seq_clr(bmap->div[i] + o_bmap, n_before);
+ o_bmap += n_before;
+ isl_seq_cpy(bmap->div[i] + o_bmap,
+ ls->div->row[i] + o_ls, n_set);
+ o_bmap += n_set;
+ o_ls += n_set;
+ isl_seq_clr(bmap->div[i] + o_bmap, n_after);
+ o_bmap += n_after;
+ isl_seq_cpy(bmap->div[i] + o_bmap,
+ ls->div->row[i] + o_ls, n_div);
+ o_bmap += n_div;
+ o_ls += n_div;
+ isl_seq_clr(bmap->div[i] + o_bmap, bmap->n_div - n_div);
+ if (isl_basic_set_add_div_constraints(bmap, i) < 0)
goto error;
}
*
* x_i = (f_i y + h_i)/m_i
*
- * with m_i different from one, add a constraint to "bset"
+ * with m_i different from one, add a constraint to "bmap"
* of the form
*
* f_i y + h_i = m_i alpha_i
*
* with alpha_i an additional existentially quantified variable.
*/
-static __isl_give isl_basic_set *add_ma_strides(
- __isl_take isl_basic_set *bset, __isl_keep isl_multi_aff *ma)
+static __isl_give isl_basic_map *add_ma_strides(
+ __isl_take isl_basic_map *bmap, __isl_keep isl_multi_aff *ma,
+ int n_before, int n_after)
{
int i, k;
int div;
int total;
+ int n_param;
+ int n_in;
+ int n_div;
- total = isl_basic_set_total_dim(bset);
+ total = isl_basic_map_total_dim(bmap);
+ n_param = isl_multi_aff_dim(ma, isl_dim_param);
+ n_in = isl_multi_aff_dim(ma, isl_dim_in);
+ n_div = isl_multi_aff_dim(ma, isl_dim_div);
for (i = 0; i < ma->n; ++i) {
- int len;
+ int o_bmap = 0, o_ma = 1;
if (isl_int_is_one(ma->p[i]->v->el[0]))
continue;
- div = isl_basic_set_alloc_div(bset);
- k = isl_basic_set_alloc_equality(bset);
+ div = isl_basic_map_alloc_div(bmap);
+ k = isl_basic_map_alloc_equality(bmap);
if (div < 0 || k < 0)
goto error;
- isl_int_set_si(bset->div[div][0], 0);
- len = ma->p[i]->v->size;
- isl_seq_cpy(bset->eq[k], ma->p[i]->v->el + 1, len - 1);
- isl_seq_clr(bset->eq[k] + len - 1, 1 + total - (len - 1));
- isl_int_neg(bset->eq[k][1 + total], ma->p[i]->v->el[0]);
+ isl_int_set_si(bmap->div[div][0], 0);
+ isl_seq_cpy(bmap->eq[k] + o_bmap,
+ ma->p[i]->v->el + o_ma, 1 + n_param);
+ o_bmap += 1 + n_param;
+ o_ma += 1 + n_param;
+ isl_seq_clr(bmap->eq[k] + o_bmap, n_before);
+ o_bmap += n_before;
+ isl_seq_cpy(bmap->eq[k] + o_bmap,
+ ma->p[i]->v->el + o_ma, n_in);
+ o_bmap += n_in;
+ o_ma += n_in;
+ isl_seq_clr(bmap->eq[k] + o_bmap, n_after);
+ o_bmap += n_after;
+ isl_seq_cpy(bmap->eq[k] + o_bmap,
+ ma->p[i]->v->el + o_ma, n_div);
+ o_bmap += n_div;
+ o_ma += n_div;
+ isl_seq_clr(bmap->eq[k] + o_bmap, 1 + total - o_bmap);
+ isl_int_neg(bmap->eq[k][1 + total], ma->p[i]->v->el[0]);
total++;
}
- return bset;
+ return bmap;
error:
- isl_basic_set_free(bset);
+ isl_basic_map_free(bmap);
return NULL;
}
-/* Compute the preimage of "bset" under the function represented by "ma".
- * In other words, plug in "ma" in "bset". The result is a basic set
- * that lives in the domain space of "ma".
+/* Replace the domain or range space (depending on "type) of "space" by "set".
+ */
+static __isl_give isl_space *isl_space_set(__isl_take isl_space *space,
+ enum isl_dim_type type, __isl_take isl_space *set)
+{
+ if (type == isl_dim_in) {
+ space = isl_space_range(space);
+ space = isl_space_map_from_domain_and_range(set, space);
+ } else {
+ space = isl_space_domain(space);
+ space = isl_space_map_from_domain_and_range(space, set);
+ }
+
+ return space;
+}
+
+/* Compute the preimage of the domain or range (depending on "type")
+ * of "bmap" under the function represented by "ma".
+ * In other words, plug in "ma" in the domain or range of "bmap".
+ * The result is a basic map that lives in the same space as "bmap"
+ * except that the domain or range has been replaced by
+ * the domain space of "ma".
*
- * If bset is represented by
+ * If bmap is represented by
*
- * A(p) + B x + C(divs) >= 0
+ * A(p) + S u + B x + T v + C(divs) >= 0,
*
+ * where u and x are input and output dimensions if type == isl_dim_out
+ * while x and v are input and output dimensions if type == isl_dim_in,
* and ma is represented by
*
* x = D(p) + F(y) + G(divs')
*
* then the result is
*
- * A(p) + B D(p) + B F(y) + B G(divs') + C(divs) >= 0
+ * A(p) + B D(p) + S u + B F(y) + T v + B G(divs') + C(divs) >= 0
*
* The divs in the input set are similarly adjusted.
* In particular
*
- * floor((a_i(p) + b_i x + c_i(divs))/n_i)
+ * floor((a_i(p) + s u + b_i x + t v + c_i(divs))/n_i)
*
* becomes
*
- * floor((a_i(p) + b_i D(p) + b_i F(y) + B_i G(divs') + c_i(divs))/n_i)
+ * floor((a_i(p) + b_i D(p) + s u + b_i F(y) + t v +
+ * B_i G(divs') + c_i(divs))/n_i)
*
- * If bset is not a rational set and if F(y) involves any denominators
+ * If bmap is not a rational map and if F(y) involves any denominators
*
* x_i = (f_i y + h_i)/m_i
*
- * the additional constraints are added to ensure that we only
+ * then additional constraints are added to ensure that we only
* map back integer points. That is we enforce
*
* f_i y + h_i = m_i alpha_i
* with alpha_i an additional existentially quantified variable.
*
* We first copy over the divs from "ma".
- * Then we add the modified constraints and divs from "bset".
+ * Then we add the modified constraints and divs from "bmap".
* Finally, we add the stride constraints, if needed.
*/
-__isl_give isl_basic_set *isl_basic_set_preimage_multi_aff(
- __isl_take isl_basic_set *bset, __isl_take isl_multi_aff *ma)
+__isl_give isl_basic_map *isl_basic_map_preimage_multi_aff(
+ __isl_take isl_basic_map *bmap, enum isl_dim_type type,
+ __isl_take isl_multi_aff *ma)
{
int i, k;
isl_space *space;
- isl_basic_set *res = NULL;
- int n_div_bset, n_div_ma;
+ isl_basic_map *res = NULL;
+ int n_before, n_after, n_div_bmap, n_div_ma;
isl_int f, c1, c2, g;
int rational, strides;
isl_int_init(g);
ma = isl_multi_aff_align_divs(ma);
- if (!bset || !ma)
+ if (!bmap || !ma)
goto error;
- if (check_basic_set_compatible_range_multi_aff(bset, ma) < 0)
+ if (check_basic_map_compatible_range_multi_aff(bmap, type, ma) < 0)
goto error;
- n_div_bset = isl_basic_set_dim(bset, isl_dim_div);
+ if (type == isl_dim_in) {
+ n_before = 0;
+ n_after = isl_basic_map_dim(bmap, isl_dim_out);
+ } else {
+ n_before = isl_basic_map_dim(bmap, isl_dim_in);
+ n_after = 0;
+ }
+ n_div_bmap = isl_basic_map_dim(bmap, isl_dim_div);
n_div_ma = ma->n ? isl_aff_dim(ma->p[0], isl_dim_div) : 0;
- space = isl_space_domain(isl_multi_aff_get_space(ma));
- rational = isl_basic_set_is_rational(bset);
+ space = isl_multi_aff_get_domain_space(ma);
+ space = isl_space_set(isl_basic_map_get_space(bmap), type, space);
+ rational = isl_basic_map_is_rational(bmap);
strides = rational ? 0 : multi_aff_strides(ma);
- res = isl_basic_set_alloc_space(space, n_div_ma + n_div_bset + strides,
- bset->n_eq + strides, bset->n_ineq + 2 * n_div_ma);
+ res = isl_basic_map_alloc_space(space, n_div_ma + n_div_bmap + strides,
+ bmap->n_eq + strides, bmap->n_ineq + 2 * n_div_ma);
if (rational)
- res = isl_basic_set_set_rational(res);
+ res = isl_basic_map_set_rational(res);
- for (i = 0; i < n_div_ma + n_div_bset; ++i)
- if (isl_basic_set_alloc_div(res) < 0)
+ for (i = 0; i < n_div_ma + n_div_bmap; ++i)
+ if (isl_basic_map_alloc_div(res) < 0)
goto error;
- if (set_ma_divs(res, ma, n_div_ma) < 0)
+ if (set_ma_divs(res, ma, n_before, n_after, n_div_ma) < 0)
goto error;
- for (i = 0; i < bset->n_eq; ++i) {
- k = isl_basic_set_alloc_equality(res);
+ for (i = 0; i < bmap->n_eq; ++i) {
+ k = isl_basic_map_alloc_equality(res);
if (k < 0)
goto error;
- isl_seq_preimage(res->eq[k], bset->eq[i], ma, n_div_ma,
- n_div_bset, f, c1, c2, g, 0);
+ isl_seq_preimage(res->eq[k], bmap->eq[i], ma, n_before,
+ n_after, n_div_ma, n_div_bmap, f, c1, c2, g, 0);
}
- for (i = 0; i < bset->n_ineq; ++i) {
- k = isl_basic_set_alloc_inequality(res);
+ for (i = 0; i < bmap->n_ineq; ++i) {
+ k = isl_basic_map_alloc_inequality(res);
if (k < 0)
goto error;
- isl_seq_preimage(res->ineq[k], bset->ineq[i], ma, n_div_ma,
- n_div_bset, f, c1, c2, g, 0);
+ isl_seq_preimage(res->ineq[k], bmap->ineq[i], ma, n_before,
+ n_after, n_div_ma, n_div_bmap, f, c1, c2, g, 0);
}
- for (i = 0; i < bset->n_div; ++i) {
- if (isl_int_is_zero(bset->div[i][0])) {
+ for (i = 0; i < bmap->n_div; ++i) {
+ if (isl_int_is_zero(bmap->div[i][0])) {
isl_int_set_si(res->div[n_div_ma + i][0], 0);
continue;
}
- isl_seq_preimage(res->div[n_div_ma + i], bset->div[i],
- ma, n_div_ma, n_div_bset, f, c1, c2, g, 1);
+ isl_seq_preimage(res->div[n_div_ma + i], bmap->div[i], ma,
+ n_before, n_after, n_div_ma, n_div_bmap,
+ f, c1, c2, g, 1);
}
if (strides)
- res = add_ma_strides(res, ma);
+ res = add_ma_strides(res, ma, n_before, n_after);
isl_int_clear(f);
isl_int_clear(c1);
isl_int_clear(c2);
isl_int_clear(g);
- isl_basic_set_free(bset);
+ isl_basic_map_free(bmap);
isl_multi_aff_free(ma);
res = isl_basic_set_simplify(res);
- return isl_basic_set_finalize(res);
+ return isl_basic_map_finalize(res);
error:
isl_int_clear(f);
isl_int_clear(c1);
isl_int_clear(c2);
isl_int_clear(g);
- isl_basic_set_free(bset);
+ isl_basic_map_free(bmap);
isl_multi_aff_free(ma);
- isl_basic_set_free(res);
+ isl_basic_map_free(res);
return NULL;
}
-/* Check if the range of "ma" is compatible with "set".
+/* Compute the preimage of "bset" under the function represented by "ma".
+ * In other words, plug in "ma" in "bset". The result is a basic set
+ * that lives in the domain space of "ma".
+ */
+__isl_give isl_basic_set *isl_basic_set_preimage_multi_aff(
+ __isl_take isl_basic_set *bset, __isl_take isl_multi_aff *ma)
+{
+ return isl_basic_map_preimage_multi_aff(bset, isl_dim_set, ma);
+}
+
+/* Check if the range of "ma" is compatible with the domain or range
+ * (depending on "type") of "map".
* Return -1 if anything is wrong.
*/
-static int check_set_compatible_range_multi_aff(
- __isl_keep isl_set *set, __isl_keep isl_multi_aff *ma)
+static int check_map_compatible_range_multi_aff(
+ __isl_keep isl_map *map, enum isl_dim_type type,
+ __isl_keep isl_multi_aff *ma)
{
- return check_space_compatible_range_multi_aff(set->dim, ma);
+ int m;
+ isl_space *ma_space;
+
+ ma_space = isl_multi_aff_get_space(ma);
+ m = isl_space_tuple_match(map->dim, type, ma_space, isl_dim_out);
+ isl_space_free(ma_space);
+ if (m >= 0 && !m)
+ isl_die(isl_map_get_ctx(map), isl_error_invalid,
+ "spaces don't match", return -1);
+ return m;
}
-/* Compute the preimage of "set" under the function represented by "ma".
- * In other words, plug in "ma" in "set. The result is a set
- * that lives in the domain space of "ma".
+/* Compute the preimage of the domain or range (depending on "type")
+ * of "map" under the function represented by "ma".
+ * In other words, plug in "ma" in the domain or range of "map".
+ * The result is a map that lives in the same space as "map"
+ * except that the domain or range has been replaced by
+ * the domain space of "ma".
+ *
+ * The parameters are assumed to have been aligned.
*/
-static __isl_give isl_set *set_preimage_multi_aff(__isl_take isl_set *set,
- __isl_take isl_multi_aff *ma)
+static __isl_give isl_map *map_preimage_multi_aff(__isl_take isl_map *map,
+ enum isl_dim_type type, __isl_take isl_multi_aff *ma)
{
int i;
+ isl_space *space;
- set = isl_set_cow(set);
+ map = isl_map_cow(map);
ma = isl_multi_aff_align_divs(ma);
- if (!set || !ma)
+ if (!map || !ma)
goto error;
- if (check_set_compatible_range_multi_aff(set, ma) < 0)
+ if (check_map_compatible_range_multi_aff(map, type, ma) < 0)
goto error;
- for (i = 0; i < set->n; ++i) {
- set->p[i] = isl_basic_set_preimage_multi_aff(set->p[i],
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_preimage_multi_aff(map->p[i], type,
isl_multi_aff_copy(ma));
- if (!set->p[i])
+ if (!map->p[i])
goto error;
}
- isl_space_free(set->dim);
- set->dim = isl_multi_aff_get_domain_space(ma);
- if (!set->dim)
+ space = isl_multi_aff_get_domain_space(ma);
+ space = isl_space_set(isl_map_get_space(map), type, space);
+
+ isl_space_free(map->dim);
+ map->dim = space;
+ if (!map->dim)
goto error;
isl_multi_aff_free(ma);
- if (set->n > 1)
- ISL_F_CLR(set, ISL_MAP_DISJOINT);
- ISL_F_CLR(set, ISL_SET_NORMALIZED);
- return set;
+ if (map->n > 1)
+ ISL_F_CLR(map, ISL_MAP_DISJOINT);
+ ISL_F_CLR(map, ISL_SET_NORMALIZED);
+ return map;
error:
isl_multi_aff_free(ma);
- isl_set_free(set);
+ isl_map_free(map);
return NULL;
}
-__isl_give isl_set *isl_set_preimage_multi_aff(__isl_take isl_set *set,
- __isl_take isl_multi_aff *ma)
+/* Compute the preimage of the domain or range (depending on "type")
+ * of "map" under the function represented by "ma".
+ * In other words, plug in "ma" in the domain or range of "map".
+ * The result is a map that lives in the same space as "map"
+ * except that the domain or range has been replaced by
+ * the domain space of "ma".
+ */
+__isl_give isl_map *isl_map_preimage_multi_aff(__isl_take isl_map *map,
+ enum isl_dim_type type, __isl_take isl_multi_aff *ma)
{
- if (!set || !ma)
+ if (!map || !ma)
goto error;
- if (isl_space_match(set->dim, isl_dim_param, ma->space, isl_dim_param))
- return set_preimage_multi_aff(set, ma);
+ if (isl_space_match(map->dim, isl_dim_param, ma->space, isl_dim_param))
+ return map_preimage_multi_aff(map, type, ma);
- if (!isl_space_has_named_params(set->dim) ||
+ if (!isl_space_has_named_params(map->dim) ||
!isl_space_has_named_params(ma->space))
- isl_die(set->ctx, isl_error_invalid,
+ isl_die(map->ctx, isl_error_invalid,
"unaligned unnamed parameters", goto error);
- set = isl_set_align_params(set, isl_multi_aff_get_space(ma));
- ma = isl_multi_aff_align_params(ma, isl_set_get_space(set));
+ map = isl_map_align_params(map, isl_multi_aff_get_space(ma));
+ ma = isl_multi_aff_align_params(ma, isl_map_get_space(map));
- return set_preimage_multi_aff(set, ma);
+ return map_preimage_multi_aff(map, type, ma);
error:
isl_multi_aff_free(ma);
- return isl_set_free(set);
+ return isl_map_free(map);
+}
+
+/* Compute the preimage of "set" under the function represented by "ma".
+ * In other words, plug in "ma" "set". The result is a set
+ * that lives in the domain space of "ma".
+ */
+__isl_give isl_set *isl_set_preimage_multi_aff(__isl_take isl_set *set,
+ __isl_take isl_multi_aff *ma)
+{
+ return isl_map_preimage_multi_aff(set, isl_dim_set, ma);
+}
+
+/* Compute the preimage of the domain of "map" under the function
+ * represented by "ma".
+ * In other words, plug in "ma" in the domain of "map".
+ * The result is a map that lives in the same space as "map"
+ * except that the domain has been replaced by the domain space of "ma".
+ */
+__isl_give isl_map *isl_map_preimage_domain_multi_aff(__isl_take isl_map *map,
+ __isl_take isl_multi_aff *ma)
+{
+ return isl_map_preimage_multi_aff(map, isl_dim_in, ma);
}
/* Compute the preimage of "set" under the function represented by "pma".