#include <limits.h>
#include <isl_ctx.h>
#include <isl_set.h>
+#include <isl_flow.h>
#include <isl_constraint.h>
+#include <isl_polynomial.h>
+#include <isl_union_map.h>
static char *srcdir;
+void test_parse_map(isl_ctx *ctx, const char *str)
+{
+ isl_map *map;
+
+ map = isl_map_read_from_str(ctx, str, -1);
+ assert(map);
+ isl_map_free(map);
+}
+
+void test_parse(struct isl_ctx *ctx)
+{
+ isl_map *map;
+ const char *str;
+
+ str = "{ [i] -> [-i] }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ assert(map);
+ isl_map_free(map);
+
+ str = "{ A[i] -> L[([i/3])] }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ assert(map);
+ isl_map_free(map);
+
+ test_parse_map(ctx, "{[[s] -> A[i]] -> [[s+1] -> A[i]]}");
+}
+
void test_read(struct isl_ctx *ctx)
{
char filename[PATH_MAX];
fclose(input);
}
+void test_bounded(struct isl_ctx *ctx)
+{
+ isl_set *set;
+ int bounded;
+
+ set = isl_set_read_from_str(ctx, "[n] -> {[i] : 0 <= i <= n }", -1);
+ bounded = isl_set_is_bounded(set);
+ assert(bounded);
+ isl_set_free(set);
+
+ set = isl_set_read_from_str(ctx, "{[n, i] : 0 <= i <= n }", -1);
+ bounded = isl_set_is_bounded(set);
+ assert(!bounded);
+ isl_set_free(set);
+
+ set = isl_set_read_from_str(ctx, "[n] -> {[i] : i <= n }", -1);
+ bounded = isl_set_is_bounded(set);
+ assert(!bounded);
+ isl_set_free(set);
+}
+
/* Construct the basic set { [i] : 5 <= i <= N } */
void test_construction(struct isl_ctx *ctx)
{
dim = isl_dim_set_alloc(ctx, 1, 1);
bset = isl_basic_set_universe(dim);
- c = isl_inequality_alloc(isl_dim_copy(bset->dim));
+ c = isl_inequality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, -1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
isl_int_set_si(v, 1);
isl_constraint_set_coefficient(c, isl_dim_param, 0, v);
bset = isl_basic_set_add_constraint(bset, c);
- c = isl_inequality_alloc(isl_dim_copy(bset->dim));
+ c = isl_inequality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, 1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
isl_int_set_si(v, -5);
void test_dim(struct isl_ctx *ctx)
{
+ const char *str;
isl_map *map1, *map2;
map1 = isl_map_read_from_str(ctx,
"[n] -> { [i] -> [j] : exists (a = [i/10] : i - 10a <= n ) }", -1);
- map1 = isl_map_add(map1, isl_dim_in, 1);
+ map1 = isl_map_add_dims(map1, isl_dim_in, 1);
map2 = isl_map_read_from_str(ctx,
"[n] -> { [i,k] -> [j] : exists (a = [i/10] : i - 10a <= n ) }", -1);
assert(isl_map_is_equal(map1, map2));
isl_map_free(map1);
isl_map_free(map2);
+
+ str = "[n] -> { [i] -> [] : exists a : 0 <= i <= n and i = 2 a }";
+ map1 = isl_map_read_from_str(ctx, str, -1);
+ str = "{ [i] -> [j] : exists a : 0 <= i <= j and i = 2 a }";
+ map2 = isl_map_read_from_str(ctx, str, -1);
+ map1 = isl_map_move_dims(map1, isl_dim_out, 0, isl_dim_param, 0, 1);
+ assert(isl_map_is_equal(map1, map2));
+
+ isl_map_free(map1);
+ isl_map_free(map2);
}
void test_div(struct isl_ctx *ctx)
dim = isl_dim_set_alloc(ctx, 0, 1);
bset = isl_basic_set_universe(dim);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, -1);
isl_constraint_set_constant(c, v);
isl_int_set_si(v, 1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
- div = isl_div_alloc(isl_dim_copy(bset->dim));
+ div = isl_div_alloc(isl_basic_set_get_dim(bset));
c = isl_constraint_add_div(c, div, &pos);
isl_int_set_si(v, 3);
isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
bset = isl_basic_set_add_constraint(bset, c);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, 1);
isl_constraint_set_constant(c, v);
isl_int_set_si(v, -1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
- div = isl_div_alloc(isl_dim_copy(bset->dim));
+ div = isl_div_alloc(isl_basic_set_get_dim(bset));
c = isl_constraint_add_div(c, div, &pos);
isl_int_set_si(v, 3);
isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
bset = isl_basic_set_add_constraint(bset, c);
- assert(bset->n_div == 1);
+ assert(bset && bset->n_div == 1);
isl_basic_set_free(bset);
/* test 2 */
dim = isl_dim_set_alloc(ctx, 0, 1);
bset = isl_basic_set_universe(dim);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, 1);
isl_constraint_set_constant(c, v);
isl_int_set_si(v, -1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
- div = isl_div_alloc(isl_dim_copy(bset->dim));
+ div = isl_div_alloc(isl_basic_set_get_dim(bset));
c = isl_constraint_add_div(c, div, &pos);
isl_int_set_si(v, 3);
isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
bset = isl_basic_set_add_constraint(bset, c);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, -1);
isl_constraint_set_constant(c, v);
isl_int_set_si(v, 1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
- div = isl_div_alloc(isl_dim_copy(bset->dim));
+ div = isl_div_alloc(isl_basic_set_get_dim(bset));
c = isl_constraint_add_div(c, div, &pos);
isl_int_set_si(v, 3);
isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
bset = isl_basic_set_add_constraint(bset, c);
- assert(bset->n_div == 1);
+ assert(bset && bset->n_div == 1);
isl_basic_set_free(bset);
/* test 3 */
dim = isl_dim_set_alloc(ctx, 0, 1);
bset = isl_basic_set_universe(dim);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, 1);
isl_constraint_set_constant(c, v);
isl_int_set_si(v, -1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
- div = isl_div_alloc(isl_dim_copy(bset->dim));
+ div = isl_div_alloc(isl_basic_set_get_dim(bset));
c = isl_constraint_add_div(c, div, &pos);
isl_int_set_si(v, 3);
isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
bset = isl_basic_set_add_constraint(bset, c);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, -3);
isl_constraint_set_constant(c, v);
isl_int_set_si(v, 1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
- div = isl_div_alloc(isl_dim_copy(bset->dim));
+ div = isl_div_alloc(isl_basic_set_get_dim(bset));
c = isl_constraint_add_div(c, div, &pos);
isl_int_set_si(v, 4);
isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
bset = isl_basic_set_add_constraint(bset, c);
- assert(bset->n_div == 1);
+ assert(bset && bset->n_div == 1);
isl_basic_set_free(bset);
/* test 4 */
dim = isl_dim_set_alloc(ctx, 0, 1);
bset = isl_basic_set_universe(dim);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, 2);
isl_constraint_set_constant(c, v);
isl_int_set_si(v, -1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
- div = isl_div_alloc(isl_dim_copy(bset->dim));
+ div = isl_div_alloc(isl_basic_set_get_dim(bset));
c = isl_constraint_add_div(c, div, &pos);
isl_int_set_si(v, 3);
isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
bset = isl_basic_set_add_constraint(bset, c);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, -1);
isl_constraint_set_constant(c, v);
isl_int_set_si(v, 1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
- div = isl_div_alloc(isl_dim_copy(bset->dim));
+ div = isl_div_alloc(isl_basic_set_get_dim(bset));
c = isl_constraint_add_div(c, div, &pos);
isl_int_set_si(v, 6);
isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
dim = isl_dim_set_alloc(ctx, 0, 2);
bset = isl_basic_set_universe(dim);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, -1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
- div = isl_div_alloc(isl_dim_copy(bset->dim));
+ div = isl_div_alloc(isl_basic_set_get_dim(bset));
c = isl_constraint_add_div(c, div, &pos);
isl_int_set_si(v, 3);
isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
bset = isl_basic_set_add_constraint(bset, c);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, 1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
isl_int_set_si(v, -3);
isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
bset = isl_basic_set_add_constraint(bset, c);
- assert(bset->n_div == 0);
+ assert(bset && bset->n_div == 0);
isl_basic_set_free(bset);
/* test 6 */
dim = isl_dim_set_alloc(ctx, 0, 2);
bset = isl_basic_set_universe(dim);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, -1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
- div = isl_div_alloc(isl_dim_copy(bset->dim));
+ div = isl_div_alloc(isl_basic_set_get_dim(bset));
c = isl_constraint_add_div(c, div, &pos);
isl_int_set_si(v, 6);
isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
bset = isl_basic_set_add_constraint(bset, c);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, 1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
isl_int_set_si(v, -3);
isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
bset = isl_basic_set_add_constraint(bset, c);
- assert(bset->n_div == 1);
+ assert(bset && bset->n_div == 1);
isl_basic_set_free(bset);
/* test 7 */
dim = isl_dim_set_alloc(ctx, 0, 3);
bset = isl_basic_set_universe(dim);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, -1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
isl_int_set_si(v, -3);
isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
isl_int_set_si(v, -3);
isl_constraint_set_coefficient(c, isl_dim_set, 2, v);
- div = isl_div_alloc(isl_dim_copy(bset->dim));
+ div = isl_div_alloc(isl_basic_set_get_dim(bset));
c = isl_constraint_add_div(c, div, &pos);
isl_int_set_si(v, 6);
isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
/* Test disabled for now */
/*
- assert(bset->n_div == 1);
+ assert(bset && bset->n_div == 1);
*/
isl_basic_set_free(bset);
dim = isl_dim_set_alloc(ctx, 0, 4);
bset = isl_basic_set_universe(dim);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, -1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
isl_int_set_si(v, -3);
isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
isl_int_set_si(v, -3);
isl_constraint_set_coefficient(c, isl_dim_set, 3, v);
- div = isl_div_alloc(isl_dim_copy(bset->dim));
+ div = isl_div_alloc(isl_basic_set_get_dim(bset));
c = isl_constraint_add_div(c, div, &pos);
isl_int_set_si(v, 6);
isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
bset = isl_basic_set_add_constraint(bset, c);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, -1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
isl_int_set_si(v, 1);
/* Test disabled for now */
/*
- assert(bset->n_div == 1);
+ assert(bset && bset->n_div == 1);
*/
isl_basic_set_free(bset);
dim = isl_dim_set_alloc(ctx, 0, 2);
bset = isl_basic_set_universe(dim);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, 1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
isl_int_set_si(v, -1);
isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
- div = isl_div_alloc(isl_dim_copy(bset->dim));
+ div = isl_div_alloc(isl_basic_set_get_dim(bset));
c = isl_constraint_add_div(c, div, &pos);
isl_int_set_si(v, -2);
isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
bset = isl_basic_set_add_constraint(bset, c);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, -1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
- div = isl_div_alloc(isl_dim_copy(bset->dim));
+ div = isl_div_alloc(isl_basic_set_get_dim(bset));
c = isl_constraint_add_div(c, div, &pos);
isl_int_set_si(v, 3);
isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
dim = isl_dim_set_alloc(ctx, 0, 2);
bset = isl_basic_set_universe(dim);
- c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ c = isl_equality_alloc(isl_basic_set_get_dim(bset));
isl_int_set_si(v, 1);
isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
- div = isl_div_alloc(isl_dim_copy(bset->dim));
+ div = isl_div_alloc(isl_basic_set_get_dim(bset));
c = isl_constraint_add_div(c, div, &pos);
isl_int_set_si(v, -2);
isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
void test_convex_hull(struct isl_ctx *ctx)
{
+ const char *str1, *str2;
+ isl_set *set1, *set2;
+
test_convex_hull_case(ctx, "convex0");
test_convex_hull_case(ctx, "convex1");
test_convex_hull_case(ctx, "convex2");
test_convex_hull_case(ctx, "convex13");
test_convex_hull_case(ctx, "convex14");
test_convex_hull_case(ctx, "convex15");
+
+ str1 = "{ [i0, i1, i2] : (i2 = 1 and i0 = 0 and i1 >= 0) or "
+ "(i0 = 1 and i1 = 0 and i2 = 1) or "
+ "(i0 = 0 and i1 = 0 and i2 = 0) }";
+ str2 = "{ [i0, i1, i2] : i0 >= 0 and i2 >= i0 and i2 <= 1 and i1 >= 0 }";
+ set1 = isl_set_read_from_str(ctx, str1, -1);
+ set2 = isl_set_read_from_str(ctx, str2, -1);
+ set1 = isl_set_from_basic_set(isl_set_convex_hull(set1));
+ assert(isl_set_is_equal(set1, set2));
+ isl_set_free(set1);
+ isl_set_free(set2);
}
void test_gist_case(struct isl_ctx *ctx, const char *name)
test_gist_case(ctx, "gist1");
}
+void test_coalesce_set(isl_ctx *ctx, const char *str, int check_one)
+{
+ isl_set *set, *set2;
+
+ set = isl_set_read_from_str(ctx, str, -1);
+ set = isl_set_coalesce(set);
+ set2 = isl_set_read_from_str(ctx, str, -1);
+ assert(isl_set_is_equal(set, set2));
+ if (check_one)
+ assert(set && set->n == 1);
+ isl_set_free(set);
+ isl_set_free(set2);
+}
+
void test_coalesce(struct isl_ctx *ctx)
{
const char *str;
assert(isl_map_is_equal(map, map2));
isl_map_free(map);
isl_map_free(map2);
+
+ str = "{ [i0, i1, i2, i3] : (i1 = 10i0 and i0 >= 1 and 10i0 <= 100 and "
+ "i3 <= 9 + 10 i2 and i3 >= 1 + 10i2 and i3 >= 0) or "
+ "(i1 <= 9 + 10i0 and i1 >= 1 + 10i0 and i2 >= 0 and "
+ "i0 >= 0 and i1 <= 100 and i3 <= 9 + 10i2 and i3 >= 1 + 10i2) }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ map = isl_map_coalesce(map);
+ map2 = isl_map_read_from_str(ctx, str, -1);
+ assert(isl_map_is_equal(map, map2));
+ isl_map_free(map);
+ isl_map_free(map2);
+
+ test_coalesce_set(ctx,
+ "[M] -> { [i1] : (i1 >= 2 and i1 <= M) or "
+ "(i1 = M and M >= 1) }", 0);
+ test_coalesce_set(ctx,
+ "{[x,y] : x,y >= 0; [x,y] : 10 <= x <= 20 and y >= -1 }", 0);
+ test_coalesce_set(ctx,
+ "{ [x, y] : (x >= 1 and y >= 1 and x <= 2 and y <= 2) or "
+ "(y = 3 and x = 1) }", 1);
+ test_coalesce_set(ctx,
+ "[M] -> { [i0, i1, i2, i3, i4] : (i1 >= 3 and i4 >= 2 + i2 and "
+ "i2 >= 2 and i0 >= 2 and i3 >= 1 + i2 and i0 <= M and "
+ "i1 <= M and i3 <= M and i4 <= M) or "
+ "(i1 >= 2 and i4 >= 1 + i2 and i2 >= 2 and i0 >= 2 and "
+ "i3 >= 1 + i2 and i0 <= M and i1 <= -1 + M and i3 <= M and "
+ "i4 <= -1 + M) }", 1);
+ test_coalesce_set(ctx,
+ "{ [x, y] : (x >= 0 and y >= 0 and x <= 10 and y <= 10) or "
+ "(x >= 1 and y >= 1 and x <= 11 and y <= 11) }", 1);
+ test_coalesce_set(ctx,
+ "{[x,y,z] : y + 2 >= 0 and x - y + 1 >= 0 and "
+ "-x - y + 1 >= 0 and -3 <= z <= 3;"
+ "[x,y,z] : -x+z + 20 >= 0 and -x-z + 20 >= 0 and "
+ "x-z + 20 >= 0 and x+z + 20 >= 0 and -10 <= y <= 0}", 1);
+ test_coalesce_set(ctx,
+ "{[x,y] : 0 <= x,y <= 10; [5,y]: 4 <=y <= 11}", 1);
+ test_coalesce_set(ctx, "{[x,0] : x >= 0; [x,1] : x <= 20}", 0);
+ test_coalesce_set(ctx,
+ "{[x,0,0] : -5 <= x <= 5; [0,y,1] : -5 <= y <= 5 }", 1);
+ test_coalesce_set(ctx, "{ [x, 1 - x] : 0 <= x <= 1; [0,0] }", 1);
}
void test_closure(struct isl_ctx *ctx)
up = isl_map_intersect_range(up, dom);
map = isl_map_union(up, right);
map = isl_map_transitive_closure(map, &exact);
- assert(!exact);
+ assert(exact);
+ map2 = isl_map_read_from_str(ctx,
+ "{ [0,0] -> [0,1]; [0,0] -> [1,1]; [0,1] -> [1,1]; "
+ " [2,2] -> [3,2]; [2,2] -> [3,3]; [3,2] -> [3,3] }", -1);
+ assert(isl_map_is_equal(map, map2));
+ isl_map_free(map2);
isl_map_free(map);
/* COCOA Theorem 1 counter example */
assert(isl_map_is_equal(map, map2));
isl_map_free(map);
isl_map_free(map2);
+
+ str = "{[0] -> [1]; [2] -> [3]}";
+ map = isl_map_read_from_str(ctx, str, -1);
+ map = isl_map_transitive_closure(map, &exact);
+ assert(exact);
+ map2 = isl_map_read_from_str(ctx, str, -1);
+ assert(isl_map_is_equal(map, map2));
+ isl_map_free(map);
+ isl_map_free(map2);
+}
+
+void test_lex(struct isl_ctx *ctx)
+{
+ isl_dim *dim;
+ isl_map *map;
+
+ dim = isl_dim_alloc(ctx, 0, 0, 0);
+ map = isl_map_lex_le(dim);
+ assert(!isl_map_is_empty(map));
+ isl_map_free(map);
+}
+
+void test_lexmin(struct isl_ctx *ctx)
+{
+ const char *str;
+ isl_map *map;
+ isl_set *set;
+ isl_set *set2;
+
+ str = "[p0, p1] -> { [] -> [] : "
+ "exists (e0 = [(2p1)/3], e1, e2, e3 = [(3 - p1 + 3e0)/3], "
+ "e4 = [(p1)/3], e5 = [(p1 + 3e4)/3]: "
+ "3e0 >= -2 + 2p1 and 3e0 >= p1 and 3e3 >= 1 - p1 + 3e0 and "
+ "3e0 <= 2p1 and 3e3 >= -2 + p1 and 3e3 <= -1 + p1 and p1 >= 3 and "
+ "3e5 >= -2 + 2p1 and 3e5 >= p1 and 3e5 <= -1 + p1 + 3e4 and "
+ "3e4 <= p1 and 3e4 >= -2 + p1 and e3 <= -1 + e0 and "
+ "3e4 >= 6 - p1 + 3e1 and 3e1 >= p1 and 3e5 >= -2 + p1 + 3e4 and "
+ "2e4 >= 3 - p1 + 2e1 and e4 <= e1 and 3e3 <= 2 - p1 + 3e0 and "
+ "e5 >= 1 + e1 and 3e4 >= 6 - 2p1 + 3e1 and "
+ "p0 >= 2 and p1 >= p0 and 3e2 >= p1 and 3e4 >= 6 - p1 + 3e2 and "
+ "e2 <= e1 and e3 >= 1 and e4 <= e2) }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ map = isl_map_lexmin(map);
+ isl_map_free(map);
+
+ str = "[C] -> { [obj,a,b,c] : obj <= 38 a + 7 b + 10 c and "
+ "a + b <= 1 and c <= 10 b and c <= C and a,b,c,C >= 0 }";
+ set = isl_set_read_from_str(ctx, str, -1);
+ set = isl_set_lexmax(set);
+ str = "[C] -> { [obj,a,b,c] : C = 8 }";
+ set2 = isl_set_read_from_str(ctx, str, -1);
+ set = isl_set_intersect(set, set2);
+ assert(!isl_set_is_empty(set));
+ isl_set_free(set);
+}
+
+struct must_may {
+ isl_map *must;
+ isl_map *may;
+};
+
+static int collect_must_may(__isl_take isl_map *dep, int must,
+ void *dep_user, void *user)
+{
+ struct must_may *mm = (struct must_may *)user;
+
+ if (must)
+ mm->must = isl_map_union(mm->must, dep);
+ else
+ mm->may = isl_map_union(mm->may, dep);
+
+ return 0;
+}
+
+static int common_space(void *first, void *second)
+{
+ int depth = *(int *)first;
+ return 2 * depth;
+}
+
+static int map_is_equal(__isl_keep isl_map *map, const char *str)
+{
+ isl_map *map2;
+ int equal;
+
+ if (!map)
+ return -1;
+
+ map2 = isl_map_read_from_str(map->ctx, str, -1);
+ equal = isl_map_is_equal(map, map2);
+ isl_map_free(map2);
+
+ return equal;
+}
+
+void test_dep(struct isl_ctx *ctx)
+{
+ const char *str;
+ isl_dim *dim;
+ isl_map *map;
+ isl_access_info *ai;
+ isl_flow *flow;
+ int depth;
+ struct must_may mm;
+
+ depth = 3;
+
+ str = "{ [2,i,0] -> [i] : 0 <= i <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ ai = isl_access_info_alloc(map, &depth, &common_space, 2);
+
+ str = "{ [0,i,0] -> [i] : 0 <= i <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ ai = isl_access_info_add_source(ai, map, 1, &depth);
+
+ str = "{ [1,i,0] -> [5] : 0 <= i <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ ai = isl_access_info_add_source(ai, map, 1, &depth);
+
+ flow = isl_access_info_compute_flow(ai);
+ dim = isl_dim_alloc(ctx, 0, 3, 3);
+ mm.must = isl_map_empty(isl_dim_copy(dim));
+ mm.may = isl_map_empty(dim);
+
+ isl_flow_foreach(flow, collect_must_may, &mm);
+
+ str = "{ [0,i,0] -> [2,i,0] : (0 <= i <= 4) or (6 <= i <= 10); "
+ " [1,10,0] -> [2,5,0] }";
+ assert(map_is_equal(mm.must, str));
+ str = "{ [i,j,k] -> [l,m,n] : 1 = 0 }";
+ assert(map_is_equal(mm.may, str));
+
+ isl_map_free(mm.must);
+ isl_map_free(mm.may);
+ isl_flow_free(flow);
+
+
+ str = "{ [2,i,0] -> [i] : 0 <= i <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ ai = isl_access_info_alloc(map, &depth, &common_space, 2);
+
+ str = "{ [0,i,0] -> [i] : 0 <= i <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ ai = isl_access_info_add_source(ai, map, 1, &depth);
+
+ str = "{ [1,i,0] -> [5] : 0 <= i <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ ai = isl_access_info_add_source(ai, map, 0, &depth);
+
+ flow = isl_access_info_compute_flow(ai);
+ dim = isl_dim_alloc(ctx, 0, 3, 3);
+ mm.must = isl_map_empty(isl_dim_copy(dim));
+ mm.may = isl_map_empty(dim);
+
+ isl_flow_foreach(flow, collect_must_may, &mm);
+
+ str = "{ [0,i,0] -> [2,i,0] : (0 <= i <= 4) or (6 <= i <= 10) }";
+ assert(map_is_equal(mm.must, str));
+ str = "{ [0,5,0] -> [2,5,0]; [1,i,0] -> [2,5,0] : 0 <= i <= 10 }";
+ assert(map_is_equal(mm.may, str));
+
+ isl_map_free(mm.must);
+ isl_map_free(mm.may);
+ isl_flow_free(flow);
+
+
+ str = "{ [2,i,0] -> [i] : 0 <= i <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ ai = isl_access_info_alloc(map, &depth, &common_space, 2);
+
+ str = "{ [0,i,0] -> [i] : 0 <= i <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ ai = isl_access_info_add_source(ai, map, 0, &depth);
+
+ str = "{ [1,i,0] -> [5] : 0 <= i <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ ai = isl_access_info_add_source(ai, map, 0, &depth);
+
+ flow = isl_access_info_compute_flow(ai);
+ dim = isl_dim_alloc(ctx, 0, 3, 3);
+ mm.must = isl_map_empty(isl_dim_copy(dim));
+ mm.may = isl_map_empty(dim);
+
+ isl_flow_foreach(flow, collect_must_may, &mm);
+
+ str = "{ [0,i,0] -> [2,i,0] : 0 <= i <= 10; "
+ " [1,i,0] -> [2,5,0] : 0 <= i <= 10 }";
+ assert(map_is_equal(mm.may, str));
+ str = "{ [i,j,k] -> [l,m,n] : 1 = 0 }";
+ assert(map_is_equal(mm.must, str));
+
+ isl_map_free(mm.must);
+ isl_map_free(mm.may);
+ isl_flow_free(flow);
+
+
+ str = "{ [0,i,2] -> [i] : 0 <= i <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ ai = isl_access_info_alloc(map, &depth, &common_space, 2);
+
+ str = "{ [0,i,0] -> [i] : 0 <= i <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ ai = isl_access_info_add_source(ai, map, 0, &depth);
+
+ str = "{ [0,i,1] -> [5] : 0 <= i <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ ai = isl_access_info_add_source(ai, map, 0, &depth);
+
+ flow = isl_access_info_compute_flow(ai);
+ dim = isl_dim_alloc(ctx, 0, 3, 3);
+ mm.must = isl_map_empty(isl_dim_copy(dim));
+ mm.may = isl_map_empty(dim);
+
+ isl_flow_foreach(flow, collect_must_may, &mm);
+
+ str = "{ [0,i,0] -> [0,i,2] : 0 <= i <= 10; "
+ " [0,i,1] -> [0,5,2] : 0 <= i <= 5 }";
+ assert(map_is_equal(mm.may, str));
+ str = "{ [i,j,k] -> [l,m,n] : 1 = 0 }";
+ assert(map_is_equal(mm.must, str));
+
+ isl_map_free(mm.must);
+ isl_map_free(mm.may);
+ isl_flow_free(flow);
+
+
+ str = "{ [0,i,1] -> [i] : 0 <= i <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ ai = isl_access_info_alloc(map, &depth, &common_space, 2);
+
+ str = "{ [0,i,0] -> [i] : 0 <= i <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ ai = isl_access_info_add_source(ai, map, 0, &depth);
+
+ str = "{ [0,i,2] -> [5] : 0 <= i <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ ai = isl_access_info_add_source(ai, map, 0, &depth);
+
+ flow = isl_access_info_compute_flow(ai);
+ dim = isl_dim_alloc(ctx, 0, 3, 3);
+ mm.must = isl_map_empty(isl_dim_copy(dim));
+ mm.may = isl_map_empty(dim);
+
+ isl_flow_foreach(flow, collect_must_may, &mm);
+
+ str = "{ [0,i,0] -> [0,i,1] : 0 <= i <= 10; "
+ " [0,i,2] -> [0,5,1] : 0 <= i <= 4 }";
+ assert(map_is_equal(mm.may, str));
+ str = "{ [i,j,k] -> [l,m,n] : 1 = 0 }";
+ assert(map_is_equal(mm.must, str));
+
+ isl_map_free(mm.must);
+ isl_map_free(mm.may);
+ isl_flow_free(flow);
+
+
+ depth = 5;
+
+ str = "{ [1,i,0,0,0] -> [i,j] : 0 <= i <= 10 and 0 <= j <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ ai = isl_access_info_alloc(map, &depth, &common_space, 1);
+
+ str = "{ [0,i,0,j,0] -> [i,j] : 0 <= i <= 10 and 0 <= j <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ ai = isl_access_info_add_source(ai, map, 1, &depth);
+
+ flow = isl_access_info_compute_flow(ai);
+ dim = isl_dim_alloc(ctx, 0, 5, 5);
+ mm.must = isl_map_empty(isl_dim_copy(dim));
+ mm.may = isl_map_empty(dim);
+
+ isl_flow_foreach(flow, collect_must_may, &mm);
+
+ str = "{ [0,i,0,j,0] -> [1,i,0,0,0] : 0 <= i,j <= 10 }";
+ assert(map_is_equal(mm.must, str));
+ str = "{ [0,0,0,0,0] -> [0,0,0,0,0] : 1 = 0 }";
+ assert(map_is_equal(mm.may, str));
+
+ isl_map_free(mm.must);
+ isl_map_free(mm.may);
+ isl_flow_free(flow);
+}
+
+void test_sv(struct isl_ctx *ctx)
+{
+ const char *str;
+ isl_map *map;
+
+ str = "[N] -> { [i] -> [f] : 0 <= i <= N and 0 <= i - 10 f <= 9 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ assert(isl_map_is_single_valued(map));
+ isl_map_free(map);
+
+ str = "[N] -> { [i] -> [f] : 0 <= i <= N and 0 <= i - 10 f <= 10 }";
+ map = isl_map_read_from_str(ctx, str, -1);
+ assert(!isl_map_is_single_valued(map));
+ isl_map_free(map);
+}
+
+void test_bijective_case(struct isl_ctx *ctx, const char *str, int bijective)
+{
+ isl_map *map;
+
+ map = isl_map_read_from_str(ctx, str, -1);
+ if (bijective)
+ assert(isl_map_is_bijective(map));
+ else
+ assert(!isl_map_is_bijective(map));
+ isl_map_free(map);
+}
+
+void test_bijective(struct isl_ctx *ctx)
+{
+ test_bijective_case(ctx, "[N,M]->{[i,j] -> [i]}", 0);
+ test_bijective_case(ctx, "[N,M]->{[i,j] -> [i] : j=i}", 1);
+ test_bijective_case(ctx, "[N,M]->{[i,j] -> [i] : j=0}", 1);
+ test_bijective_case(ctx, "[N,M]->{[i,j] -> [i] : j=N}", 1);
+ test_bijective_case(ctx, "[N,M]->{[i,j] -> [j,i]}", 1);
+ test_bijective_case(ctx, "[N,M]->{[i,j] -> [i+j]}", 0);
+ test_bijective_case(ctx, "[N,M]->{[i,j] -> []}", 0);
+ test_bijective_case(ctx, "[N,M]->{[i,j] -> [i,j,N]}", 1);
+ test_bijective_case(ctx, "[N,M]->{[i,j] -> [2i]}", 0);
+ test_bijective_case(ctx, "[N,M]->{[i,j] -> [i,i]}", 0);
+ test_bijective_case(ctx, "[N,M]->{[i,j] -> [2i,i]}", 0);
+ test_bijective_case(ctx, "[N,M]->{[i,j] -> [2i,j]}", 1);
+ test_bijective_case(ctx, "[N,M]->{[i,j] -> [x,y] : 2x=i & y =j}", 1);
+}
+
+void test_pwqp(struct isl_ctx *ctx)
+{
+ const char *str;
+ isl_pw_qpolynomial *pwqp1, *pwqp2;
+
+ str = "{ [i,j,k] -> 1 + 9 * [i/5] + 7 * [j/11] + 4 * [k/13] }";
+ pwqp1 = isl_pw_qpolynomial_read_from_str(ctx, str);
+
+ pwqp1 = isl_pw_qpolynomial_move_dims(pwqp1, isl_dim_param, 0,
+ isl_dim_set, 1, 1);
+
+ str = "[j] -> { [i,k] -> 1 + 9 * [i/5] + 7 * [j/11] + 4 * [k/13] }";
+ pwqp2 = isl_pw_qpolynomial_read_from_str(ctx, str);
+
+ pwqp1 = isl_pw_qpolynomial_sub(pwqp1, pwqp2);
+
+ assert(isl_pw_qpolynomial_is_zero(pwqp1));
+
+ isl_pw_qpolynomial_free(pwqp1);
+}
+
+void test_split_periods(isl_ctx *ctx)
+{
+ const char *str;
+ isl_pw_qpolynomial *pwqp;
+
+ str = "{ [U,V] -> 1/3 * U + 2/3 * V - [(U + 2V)/3] + [U/2] : "
+ "U + 2V + 3 >= 0 and - U -2V >= 0 and - U + 10 >= 0 and "
+ "U >= 0; [U,V] -> U^2 : U >= 100 }";
+ pwqp = isl_pw_qpolynomial_read_from_str(ctx, str);
+
+ pwqp = isl_pw_qpolynomial_split_periods(pwqp, 2);
+ assert(pwqp);
+
+ isl_pw_qpolynomial_free(pwqp);
+}
+
+void test_union(isl_ctx *ctx)
+{
+ const char *str;
+ isl_union_set *uset;
+ isl_union_map *umap1, *umap2;
+
+ str = "{ [i] : 0 <= i <= 1 }";
+ uset = isl_union_set_from_set(isl_set_read_from_str(ctx, str, -1));
+ str = "{ [1] -> [0] }";
+ umap1 = isl_union_map_from_map(isl_map_read_from_str(ctx, str, -1));
+
+ umap2 = isl_union_set_lex_gt_union_set(isl_union_set_copy(uset), uset);
+ assert(isl_union_map_is_equal(umap1, umap2));
+
+ isl_union_map_free(umap1);
+ isl_union_map_free(umap2);
}
int main()
assert(srcdir);
ctx = isl_ctx_alloc();
+ test_union(ctx);
+ test_split_periods(ctx);
+ test_parse(ctx);
+ test_pwqp(ctx);
+ test_lex(ctx);
+ test_sv(ctx);
+ test_bijective(ctx);
+ test_dep(ctx);
test_read(ctx);
+ test_bounded(ctx);
test_construction(ctx);
test_dim(ctx);
test_div(ctx);
test_gist(ctx);
test_coalesce(ctx);
test_closure(ctx);
+ test_lexmin(ctx);
isl_ctx_free(ctx);
return 0;
}
projects / platform / upstream / isl.git / blobdiff