+/*
+ * Copyright 2008-2009 Katholieke Universiteit Leuven
+ *
+ * Use of this software is governed by the GNU LGPLv2.1 license
+ *
+ * Written by Sven Verdoolaege, K.U.Leuven, Departement
+ * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
+ */
+
#include <assert.h>
#include <stdio.h>
#include <limits.h>
input = fopen(filename, "r");
assert(input);
- bset1 = isl_basic_set_read_from_file(ctx, input, 0, ISL_FORMAT_OMEGA);
- bset2 = isl_basic_set_read_from_str(ctx, str, 0, ISL_FORMAT_OMEGA);
+ bset1 = isl_basic_set_read_from_file(ctx, input, 0);
+ bset2 = isl_basic_set_read_from_str(ctx, str, 0);
assert(isl_basic_set_is_equal(bset1, bset2) == 1);
isl_int_clear(v);
}
+void test_dim(struct isl_ctx *ctx)
+{
+ 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);
+ 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(map2);
+
+ map1 = isl_map_project_out(map1, isl_dim_in, 0, 1);
+ map2 = isl_map_read_from_str(ctx, "[n] -> { [i] -> [j] : n >= 0 }", -1);
+ assert(isl_map_is_equal(map1, map2));
+
+ isl_map_free(map1);
+ isl_map_free(map2);
+}
+
void test_div(struct isl_ctx *ctx)
{
isl_int v;
assert(bset->n_div == 1);
isl_basic_set_free(bset);
+ /* test 7 */
+ /* This test is a bit tricky. We set up an equality
+ * a + 3b + 3c = 6 e0
+ * Normalization of divs creates _two_ divs
+ * a = 3 e0
+ * c - b - e0 = 2 e1
+ * Afterwards e0 is removed again because it has coefficient -1
+ * and we end up with the original equality and div again.
+ * Perhaps we can avoid the introduction of this temporary div.
+ */
+ dim = isl_dim_set_alloc(ctx, 0, 3);
+ bset = isl_basic_set_universe(dim);
+
+ c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ 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));
+ 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);
+
+ /* Test disabled for now */
+ /*
+ assert(bset->n_div == 1);
+ */
+ isl_basic_set_free(bset);
+
+ /* test 8 */
+ dim = isl_dim_set_alloc(ctx, 0, 4);
+ bset = isl_basic_set_universe(dim);
+
+ c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ 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));
+ 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));
+ 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, 2, v);
+ isl_int_set_si(v, 1);
+ isl_constraint_set_constant(c, v);
+ bset = isl_basic_set_add_constraint(bset, c);
+
+ /* Test disabled for now */
+ /*
+ assert(bset->n_div == 1);
+ */
+ isl_basic_set_free(bset);
+
+ /* test 9 */
+ dim = isl_dim_set_alloc(ctx, 0, 2);
+ bset = isl_basic_set_universe(dim);
+
+ c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ 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));
+ 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));
+ 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));
+ c = isl_constraint_add_div(c, div, &pos);
+ isl_int_set_si(v, 3);
+ isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
+ isl_int_set_si(v, 2);
+ isl_constraint_set_constant(c, v);
+ bset = isl_basic_set_add_constraint(bset, c);
+
+ bset = isl_basic_set_fix_si(bset, isl_dim_set, 0, 2);
+
+ assert(!isl_basic_set_is_empty(bset));
+
+ isl_basic_set_free(bset);
+
+ /* test 10 */
+ dim = isl_dim_set_alloc(ctx, 0, 2);
+ bset = isl_basic_set_universe(dim);
+
+ c = isl_equality_alloc(isl_dim_copy(bset->dim));
+ 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));
+ 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);
+
+ bset = isl_basic_set_fix_si(bset, isl_dim_set, 0, 2);
+
+ isl_basic_set_free(bset);
+
isl_int_clear(v);
}
input = fopen(filename, "r");
assert(input);
- bset1 = isl_basic_set_read_from_file(ctx, input, 0, ISL_FORMAT_OMEGA);
- bmap = isl_basic_map_read_from_file(ctx, input, 0, ISL_FORMAT_OMEGA);
+ bset1 = isl_basic_set_read_from_file(ctx, input, 0);
+ bmap = isl_basic_map_read_from_file(ctx, input, 0);
bset1 = isl_basic_set_apply(bset1, bmap);
- bset2 = isl_basic_set_read_from_file(ctx, input, 0, ISL_FORMAT_OMEGA);
+ bset2 = isl_basic_set_read_from_file(ctx, input, 0);
assert(isl_basic_set_is_equal(bset1, bset2) == 1);
input = fopen(filename, "r");
assert(input);
- bset1 = isl_basic_set_read_from_file(ctx, input, 0, ISL_FORMAT_POLYLIB);
- bset2 = isl_basic_set_read_from_file(ctx, input, 0, ISL_FORMAT_POLYLIB);
+ bset1 = isl_basic_set_read_from_file(ctx, input, 0);
+ bset2 = isl_basic_set_read_from_file(ctx, input, 0);
bset1 = isl_basic_set_affine_hull(bset1);
{
test_affine_hull_case(ctx, "affine2");
test_affine_hull_case(ctx, "affine");
+ test_affine_hull_case(ctx, "affine3");
}
void test_convex_hull_case(struct isl_ctx *ctx, const char *name)
input = fopen(filename, "r");
assert(input);
- bset1 = isl_basic_set_read_from_file(ctx, input, 0, ISL_FORMAT_POLYLIB);
- bset2 = isl_basic_set_read_from_file(ctx, input, 0, ISL_FORMAT_POLYLIB);
+ bset1 = isl_basic_set_read_from_file(ctx, input, 0);
+ bset2 = isl_basic_set_read_from_file(ctx, input, 0);
set = isl_basic_set_union(bset1, bset2);
bset1 = isl_set_convex_hull(set);
- bset2 = isl_basic_set_read_from_file(ctx, input, 0, ISL_FORMAT_POLYLIB);
+ bset2 = isl_basic_set_read_from_file(ctx, input, 0);
assert(isl_basic_set_is_equal(bset1, bset2) == 1);
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, "convex9");
test_convex_hull_case(ctx, "convex10");
test_convex_hull_case(ctx, "convex11");
+ test_convex_hull_case(ctx, "convex12");
+ 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)
FILE *input;
int n;
struct isl_basic_set *bset1, *bset2;
- struct isl_set *set;
n = snprintf(filename, sizeof(filename),
"%s/test_inputs/%s.polylib", srcdir, name);
input = fopen(filename, "r");
assert(input);
- bset1 = isl_basic_set_read_from_file(ctx, input, 0, ISL_FORMAT_POLYLIB);
- bset2 = isl_basic_set_read_from_file(ctx, input, 0, ISL_FORMAT_POLYLIB);
+ bset1 = isl_basic_set_read_from_file(ctx, input, 0);
+ bset2 = isl_basic_set_read_from_file(ctx, input, 0);
bset1 = isl_basic_set_gist(bset1, bset2);
- bset2 = isl_basic_set_read_from_file(ctx, input, 0, ISL_FORMAT_POLYLIB);
+ bset2 = isl_basic_set_read_from_file(ctx, input, 0);
assert(isl_basic_set_is_equal(bset1, bset2) == 1);
test_gist_case(ctx, "gist1");
}
+void test_coalesce(struct isl_ctx *ctx)
+{
+ const char *str;
+ struct isl_set *set, *set2;
+ struct isl_map *map, *map2;
+
+ set = isl_set_read_from_str(ctx,
+ "{[x,y]: x >= 0 & x <= 10 & y >= 0 & y <= 10 or "
+ "y >= x & x >= 2 & 5 >= y }", -1);
+ set = isl_set_coalesce(set);
+ assert(set && set->n == 1);
+ isl_set_free(set);
+
+ set = isl_set_read_from_str(ctx,
+ "{[x,y]: y >= 0 & 2x + y <= 30 & y <= 10 & x >= 0 or "
+ "x + y >= 10 & y <= x & x + y <= 20 & y >= 0}", -1);
+ set = isl_set_coalesce(set);
+ assert(set && set->n == 1);
+ isl_set_free(set);
+
+ set = isl_set_read_from_str(ctx,
+ "{[x,y]: y >= 0 & 2x + y <= 30 & y <= 10 & x >= 0 or "
+ "x + y >= 10 & y <= x & x + y <= 19 & y >= 0}", -1);
+ set = isl_set_coalesce(set);
+ assert(set && set->n == 2);
+ isl_set_free(set);
+
+ set = isl_set_read_from_str(ctx,
+ "{[x,y]: y >= 0 & x <= 5 & y <= x or "
+ "y >= 0 & x >= 6 & x <= 10 & y <= x}", -1);
+ set = isl_set_coalesce(set);
+ assert(set && set->n == 1);
+ isl_set_free(set);
+
+ set = isl_set_read_from_str(ctx,
+ "{[x,y]: y >= 0 & x <= 5 & y <= x or "
+ "y >= 0 & x >= 7 & x <= 10 & y <= x}", -1);
+ set = isl_set_coalesce(set);
+ assert(set && set->n == 2);
+ isl_set_free(set);
+
+ set = isl_set_read_from_str(ctx,
+ "{[x,y]: y >= 0 & x <= 5 & y <= x or "
+ "y >= 0 & x >= 6 & x <= 10 & y + 1 <= x}", -1);
+ set = isl_set_coalesce(set);
+ assert(set && set->n == 2);
+ isl_set_free(set);
+
+ set = isl_set_read_from_str(ctx,
+ "{[x,y]: y >= 0 & x <= 5 & y <= x or "
+ "y >= 0 & x = 6 & y <= 6}", -1);
+ set = isl_set_coalesce(set);
+ assert(set && set->n == 1);
+ isl_set_free(set);
+
+ set = isl_set_read_from_str(ctx,
+ "{[x,y]: y >= 0 & x <= 5 & y <= x or "
+ "y >= 0 & x = 7 & y <= 6}", -1);
+ set = isl_set_coalesce(set);
+ assert(set && set->n == 2);
+ isl_set_free(set);
+
+ set = isl_set_read_from_str(ctx,
+ "{[x,y]: y >= 0 & x <= 5 & y <= x or "
+ "y >= 0 & x = 6 & y <= 5}", -1);
+ set = isl_set_coalesce(set);
+ assert(set && set->n == 1);
+ set2 = isl_set_read_from_str(ctx,
+ "{[x,y]: y >= 0 & x <= 5 & y <= x or "
+ "y >= 0 & x = 6 & y <= 5}", -1);
+ assert(isl_set_is_equal(set, set2));
+ isl_set_free(set);
+ isl_set_free(set2);
+
+ set = isl_set_read_from_str(ctx,
+ "{[x,y]: y >= 0 & x <= 5 & y <= x or "
+ "y >= 0 & x = 6 & y <= 7}", -1);
+ set = isl_set_coalesce(set);
+ assert(set && set->n == 2);
+ isl_set_free(set);
+
+ set = isl_set_read_from_str(ctx,
+ "[n] -> { [i] : i = 1 and n >= 2 or 2 <= i and i <= n }", -1);
+ set = isl_set_coalesce(set);
+ assert(set && set->n == 1);
+ set2 = isl_set_read_from_str(ctx,
+ "[n] -> { [i] : i = 1 and n >= 2 or 2 <= i and i <= n }", -1);
+ assert(isl_set_is_equal(set, set2));
+ isl_set_free(set);
+ isl_set_free(set2);
+
+ set = isl_set_read_from_str(ctx,
+ "{[x,y] : x >= 0 and y >= 0 or 0 <= y and y <= 5 and x = -1}", -1);
+ set = isl_set_coalesce(set);
+ set2 = isl_set_read_from_str(ctx,
+ "{[x,y] : x >= 0 and y >= 0 or 0 <= y and y <= 5 and x = -1}", -1);
+ assert(isl_set_is_equal(set, set2));
+ isl_set_free(set);
+ isl_set_free(set2);
+
+ set = isl_set_read_from_str(ctx,
+ "[n] -> { [i] : 1 <= i and i <= n - 1 or "
+ "2 <= i and i <= n }", -1);
+ set = isl_set_coalesce(set);
+ assert(set && set->n == 1);
+ set2 = isl_set_read_from_str(ctx,
+ "[n] -> { [i] : 1 <= i and i <= n - 1 or "
+ "2 <= i and i <= n }", -1);
+ assert(isl_set_is_equal(set, set2));
+ isl_set_free(set);
+ isl_set_free(set2);
+
+ map = isl_map_read_from_str(ctx,
+ "[n] -> { [i0] -> [o0] : exists (e0 = [(i0)/4], e1 = [(o0)/4], "
+ "e2 = [(n)/2], e3 = [(-2 + i0)/4], e4 = [(-2 + o0)/4], "
+ "e5 = [(-2n + i0)/4]: 2e2 = n and 4e3 = -2 + i0 and "
+ "4e4 = -2 + o0 and i0 >= 8 + 2n and o0 >= 2 + i0 and "
+ "o0 <= 56 + 2n and o0 <= -12 + 4n and i0 <= 57 + 2n and "
+ "i0 <= -11 + 4n and o0 >= 6 + 2n and 4e0 <= i0 and "
+ "4e0 >= -3 + i0 and 4e1 <= o0 and 4e1 >= -3 + o0 and "
+ "4e5 <= -2n + i0 and 4e5 >= -3 - 2n + i0);"
+ "[i0] -> [o0] : exists (e0 = [(i0)/4], e1 = [(o0)/4], "
+ "e2 = [(n)/2], e3 = [(-2 + i0)/4], e4 = [(-2 + o0)/4], "
+ "e5 = [(-2n + i0)/4]: 2e2 = n and 4e3 = -2 + i0 and "
+ "4e4 = -2 + o0 and 2e0 >= 3 + n and e0 <= -4 + n and "
+ "2e0 <= 27 + n and e1 <= -4 + n and 2e1 <= 27 + n and "
+ "2e1 >= 2 + n and e1 >= 1 + e0 and i0 >= 7 + 2n and "
+ "i0 <= -11 + 4n and i0 <= 57 + 2n and 4e0 <= -2 + i0 and "
+ "4e0 >= -3 + i0 and o0 >= 6 + 2n and o0 <= -11 + 4n and "
+ "o0 <= 57 + 2n and 4e1 <= -2 + o0 and 4e1 >= -3 + o0 and "
+ "4e5 <= -2n + i0 and 4e5 >= -3 - 2n + i0 ) }", -1);
+ map = isl_map_coalesce(map);
+ map2 = isl_map_read_from_str(ctx,
+ "[n] -> { [i0] -> [o0] : exists (e0 = [(i0)/4], e1 = [(o0)/4], "
+ "e2 = [(n)/2], e3 = [(-2 + i0)/4], e4 = [(-2 + o0)/4], "
+ "e5 = [(-2n + i0)/4]: 2e2 = n and 4e3 = -2 + i0 and "
+ "4e4 = -2 + o0 and i0 >= 8 + 2n and o0 >= 2 + i0 and "
+ "o0 <= 56 + 2n and o0 <= -12 + 4n and i0 <= 57 + 2n and "
+ "i0 <= -11 + 4n and o0 >= 6 + 2n and 4e0 <= i0 and "
+ "4e0 >= -3 + i0 and 4e1 <= o0 and 4e1 >= -3 + o0 and "
+ "4e5 <= -2n + i0 and 4e5 >= -3 - 2n + i0);"
+ "[i0] -> [o0] : exists (e0 = [(i0)/4], e1 = [(o0)/4], "
+ "e2 = [(n)/2], e3 = [(-2 + i0)/4], e4 = [(-2 + o0)/4], "
+ "e5 = [(-2n + i0)/4]: 2e2 = n and 4e3 = -2 + i0 and "
+ "4e4 = -2 + o0 and 2e0 >= 3 + n and e0 <= -4 + n and "
+ "2e0 <= 27 + n and e1 <= -4 + n and 2e1 <= 27 + n and "
+ "2e1 >= 2 + n and e1 >= 1 + e0 and i0 >= 7 + 2n and "
+ "i0 <= -11 + 4n and i0 <= 57 + 2n and 4e0 <= -2 + i0 and "
+ "4e0 >= -3 + i0 and o0 >= 6 + 2n and o0 <= -11 + 4n and "
+ "o0 <= 57 + 2n and 4e1 <= -2 + o0 and 4e1 >= -3 + o0 and "
+ "4e5 <= -2n + i0 and 4e5 >= -3 - 2n + i0 ) }", -1);
+ assert(isl_map_is_equal(map, map2));
+ isl_map_free(map);
+ isl_map_free(map2);
+
+ str = "[n, m] -> { [] -> [o0, o2, o3] : (o3 = 1 and o0 >= 1 + m and "
+ "o0 <= n + m and o2 <= m and o0 >= 2 + n and o2 >= 3) or "
+ "(o0 >= 2 + n and o0 >= 1 + m and o0 <= n + m and n >= 1 and "
+ "o3 <= -1 + o2 and o3 >= 1 - m + o2 and o3 >= 2 and o3 <= n) }";
+ 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);
+
+ str = "[M, N] -> { [i0, i1, i2, i3, i4, i5, i6] -> "
+ "[o0, o1, o2, o3, o4, o5, o6] : "
+ "(o6 <= -4 + 2M - 2N + i0 + i1 - i2 + i6 - o0 - o1 + o2 and "
+ "o3 <= -2 + i3 and o6 >= 2 + i0 + i3 + i6 - o0 - o3 and "
+ "o6 >= 2 - M + N + i3 + i4 + i6 - o3 - o4 and o0 <= -1 + i0 and "
+ "o4 >= 4 - 3M + 3N - i0 - i1 + i2 + 2i3 + i4 + o0 + o1 - o2 - 2o3 "
+ "and o6 <= -3 + 2M - 2N + i3 + i4 - i5 + i6 - o3 - o4 + o5 and "
+ "2o6 <= -5 + 5M - 5N + 2i0 + i1 - i2 - i5 + 2i6 - 2o0 - o1 + o2 + o5 "
+ "and o6 >= 2i0 + i1 + i6 - 2o0 - o1 and "
+ "3o6 <= -5 + 4M - 4N + 2i0 + i1 - i2 + 2i3 + i4 - i5 + 3i6 "
+ "- 2o0 - o1 + o2 - 2o3 - o4 + o5) or "
+ "(N >= 2 and o3 <= -1 + i3 and o0 <= -1 + i0 and "
+ "o6 >= i3 + i6 - o3 and M >= 0 and "
+ "2o6 >= 1 + i0 + i3 + 2i6 - o0 - o3 and "
+ "o6 >= 1 - M + i0 + i6 - o0 and N >= 2M and o6 >= i0 + i6 - o0) }";
+ 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);
+
+ str = "[M, N] -> { [] -> [o0] : (o0 = 0 and M >= 1 and N >= 2) or "
+ "(o0 = 0 and M >= 1 and N >= 2M and N >= 2 + M) or "
+ "(o0 = 0 and M >= 2 and N >= 3) or "
+ "(M = 0 and o0 = 0 and N >= 3) }";
+ 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);
+
+ 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);
+}
+
+void test_closure(struct isl_ctx *ctx)
+{
+ const char *str;
+ isl_set *dom;
+ isl_map *up, *right;
+ isl_map *map, *map2;
+ int exact;
+
+ /* COCOA example 1 */
+ map = isl_map_read_from_str(ctx,
+ "[n,k] -> { [i,j] -> [i2,j2] : i2 = i + 1 and j2 = j + 1 and "
+ "1 <= i and i < n and 1 <= j and j < n or "
+ "i2 = i + 1 and j2 = j - 1 and "
+ "1 <= i and i < n and 2 <= j and j <= n }", -1);
+ map = isl_map_power(map, 1, &exact);
+ assert(exact);
+ isl_map_free(map);
+
+ /* COCOA example 1 */
+ map = isl_map_read_from_str(ctx,
+ "[n] -> { [i,j] -> [i2,j2] : i2 = i + 1 and j2 = j + 1 and "
+ "1 <= i and i < n and 1 <= j and j < n or "
+ "i2 = i + 1 and j2 = j - 1 and "
+ "1 <= i and i < n and 2 <= j and j <= n }", -1);
+ map = isl_map_transitive_closure(map, &exact);
+ assert(exact);
+ map2 = isl_map_read_from_str(ctx,
+ "[n] -> { [i,j] -> [i2,j2] : exists (k1,k2,k : "
+ "1 <= i and i < n and 1 <= j and j <= n and "
+ "2 <= i2 and i2 <= n and 1 <= j2 and j2 <= n and "
+ "i2 = i + k1 + k2 and j2 = j + k1 - k2 and "
+ "k1 >= 0 and k2 >= 0 and k1 + k2 = k and k >= 1 )}", -1);
+ assert(isl_map_is_equal(map, map2));
+ isl_map_free(map2);
+ isl_map_free(map);
+
+ map = isl_map_read_from_str(ctx,
+ "[n] -> { [x] -> [y] : y = x + 1 and 0 <= x and x <= n and "
+ " 0 <= y and y <= n }", -1);
+ map = isl_map_transitive_closure(map, &exact);
+ map2 = isl_map_read_from_str(ctx,
+ "[n] -> { [x] -> [y] : y > x and 0 <= x and x <= n and "
+ " 0 <= y and y <= n }", -1);
+ assert(isl_map_is_equal(map, map2));
+ isl_map_free(map2);
+ isl_map_free(map);
+
+ /* COCOA example 2 */
+ map = isl_map_read_from_str(ctx,
+ "[n] -> { [i,j] -> [i2,j2] : i2 = i + 2 and j2 = j + 2 and "
+ "1 <= i and i < n - 1 and 1 <= j and j < n - 1 or "
+ "i2 = i + 2 and j2 = j - 2 and "
+ "1 <= i and i < n - 1 and 3 <= j and j <= n }", -1);
+ map = isl_map_transitive_closure(map, &exact);
+ assert(exact);
+ map2 = isl_map_read_from_str(ctx,
+ "[n] -> { [i,j] -> [i2,j2] : exists (k1,k2,k : "
+ "1 <= i and i < n - 1 and 1 <= j and j <= n and "
+ "3 <= i2 and i2 <= n and 1 <= j2 and j2 <= n and "
+ "i2 = i + 2 k1 + 2 k2 and j2 = j + 2 k1 - 2 k2 and "
+ "k1 >= 0 and k2 >= 0 and k1 + k2 = k and k >= 1) }", -1);
+ assert(isl_map_is_equal(map, map2));
+ isl_map_free(map);
+ isl_map_free(map2);
+
+ /* COCOA Fig.2 left */
+ map = isl_map_read_from_str(ctx,
+ "[n] -> { [i,j] -> [i2,j2] : i2 = i + 2 and j2 = j and "
+ "i <= 2 j - 3 and i <= n - 2 and j <= 2 i - 1 and "
+ "j <= n or "
+ "i2 = i and j2 = j + 2 and i <= 2 j - 1 and i <= n and "
+ "j <= 2 i - 3 and j <= n - 2 or "
+ "i2 = i + 1 and j2 = j + 1 and i <= 2 j - 1 and "
+ "i <= n - 1 and j <= 2 i - 1 and j <= n - 1 }", -1);
+ map = isl_map_transitive_closure(map, &exact);
+ assert(exact);
+ isl_map_free(map);
+
+ /* COCOA Fig.2 right */
+ map = isl_map_read_from_str(ctx,
+ "[n,k] -> { [i,j] -> [i2,j2] : i2 = i + 3 and j2 = j and "
+ "i <= 2 j - 4 and i <= n - 3 and j <= 2 i - 1 and "
+ "j <= n or "
+ "i2 = i and j2 = j + 3 and i <= 2 j - 1 and i <= n and "
+ "j <= 2 i - 4 and j <= n - 3 or "
+ "i2 = i + 1 and j2 = j + 1 and i <= 2 j - 1 and "
+ "i <= n - 1 and j <= 2 i - 1 and j <= n - 1 }", -1);
+ map = isl_map_power(map, 1, &exact);
+ assert(exact);
+ isl_map_free(map);
+
+ /* COCOA Fig.2 right */
+ map = isl_map_read_from_str(ctx,
+ "[n] -> { [i,j] -> [i2,j2] : i2 = i + 3 and j2 = j and "
+ "i <= 2 j - 4 and i <= n - 3 and j <= 2 i - 1 and "
+ "j <= n or "
+ "i2 = i and j2 = j + 3 and i <= 2 j - 1 and i <= n and "
+ "j <= 2 i - 4 and j <= n - 3 or "
+ "i2 = i + 1 and j2 = j + 1 and i <= 2 j - 1 and "
+ "i <= n - 1 and j <= 2 i - 1 and j <= n - 1 }", -1);
+ map = isl_map_transitive_closure(map, &exact);
+ assert(exact);
+ map2 = isl_map_read_from_str(ctx,
+ "[n] -> { [i,j] -> [i2,j2] : exists (k1,k2,k3,k : "
+ "i <= 2 j - 1 and i <= n and j <= 2 i - 1 and "
+ "j <= n and 3 + i + 2 j <= 3 n and "
+ "3 + 2 i + j <= 3n and i2 <= 2 j2 -1 and i2 <= n and "
+ "i2 <= 3 j2 - 4 and j2 <= 2 i2 -1 and j2 <= n and "
+ "13 + 4 j2 <= 11 i2 and i2 = i + 3 k1 + k3 and "
+ "j2 = j + 3 k2 + k3 and k1 >= 0 and k2 >= 0 and "
+ "k3 >= 0 and k1 + k2 + k3 = k and k > 0) }", -1);
+ assert(isl_map_is_equal(map, map2));
+ isl_map_free(map2);
+ isl_map_free(map);
+
+ /* COCOA Fig.1 right */
+ dom = isl_set_read_from_str(ctx,
+ "{ [x,y] : x >= 0 and -2 x + 3 y >= 0 and x <= 3 and "
+ "2 x - 3 y + 3 >= 0 }", -1);
+ right = isl_map_read_from_str(ctx,
+ "{ [x,y] -> [x2,y2] : x2 = x + 1 and y2 = y }", -1);
+ up = isl_map_read_from_str(ctx,
+ "{ [x,y] -> [x2,y2] : x2 = x and y2 = y + 1 }", -1);
+ right = isl_map_intersect_domain(right, isl_set_copy(dom));
+ right = isl_map_intersect_range(right, isl_set_copy(dom));
+ up = isl_map_intersect_domain(up, isl_set_copy(dom));
+ up = isl_map_intersect_range(up, dom);
+ map = isl_map_union(up, right);
+ map = isl_map_transitive_closure(map, &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 */
+ map = isl_map_read_from_str(ctx,
+ "{ [i,j] -> [i2,j2] : i = 0 and 0 <= j and j <= 1 and "
+ "i2 = 1 and j2 = j or "
+ "i = 0 and j = 0 and i2 = 0 and j2 = 1 }", -1);
+ map = isl_map_transitive_closure(map, &exact);
+ assert(exact);
+ isl_map_free(map);
+
+ map = isl_map_read_from_str(ctx,
+ "[m,n] -> { [i,j] -> [i2,j2] : i2 = i and j2 = j + 2 and "
+ "1 <= i,i2 <= n and 1 <= j,j2 <= m or "
+ "i2 = i + 1 and 3 <= j2 - j <= 4 and "
+ "1 <= i,i2 <= n and 1 <= j,j2 <= m }", -1);
+ map = isl_map_transitive_closure(map, &exact);
+ assert(exact);
+ isl_map_free(map);
+
+ /* Kelly et al 1996, fig 12 */
+ map = isl_map_read_from_str(ctx,
+ "[n] -> { [i,j] -> [i2,j2] : i2 = i and j2 = j + 1 and "
+ "1 <= i,j,j+1 <= n or "
+ "j = n and j2 = 1 and i2 = i + 1 and "
+ "1 <= i,i+1 <= n }", -1);
+ map = isl_map_transitive_closure(map, &exact);
+ assert(exact);
+ map2 = isl_map_read_from_str(ctx,
+ "[n] -> { [i,j] -> [i2,j2] : 1 <= j < j2 <= n and "
+ "1 <= i <= n and i = i2 or "
+ "1 <= i < i2 <= n and 1 <= j <= n and "
+ "1 <= j2 <= n }", -1);
+ assert(isl_map_is_equal(map, map2));
+ isl_map_free(map2);
+ isl_map_free(map);
+
+ /* Omega's closure4 */
+ map = isl_map_read_from_str(ctx,
+ "[m,n] -> { [x,y] -> [x2,y2] : x2 = x and y2 = y + 1 and "
+ "1 <= x,y <= 10 or "
+ "x2 = x + 1 and y2 = y and "
+ "1 <= x <= 20 && 5 <= y <= 15 }", -1);
+ map = isl_map_transitive_closure(map, &exact);
+ assert(exact);
+ isl_map_free(map);
+
+ map = isl_map_read_from_str(ctx,
+ "[n] -> { [x] -> [y]: 1 <= n <= y - x <= 10 }", -1);
+ map = isl_map_transitive_closure(map, &exact);
+ assert(!exact);
+ map2 = isl_map_read_from_str(ctx,
+ "[n] -> { [x] -> [y] : 1 <= n <= 10 and y >= n + x }", -1);
+ assert(isl_map_is_equal(map, map2));
+ isl_map_free(map);
+ isl_map_free(map2);
+
+ str = "[n, m] -> { [i0, i1, i2, i3] -> [o0, o1, o2, o3] : "
+ "i3 = 1 and o0 = i0 and o1 = -1 + i1 and o2 = -1 + i2 and "
+ "o3 = -2 + i2 and i1 <= -1 + i0 and i1 >= 1 - m + i0 and "
+ "i1 >= 2 and i1 <= n and i2 >= 3 and i2 <= 1 + n and i2 <= m }";
+ 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);
+
+ 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_lexmin(struct isl_ctx *ctx)
+{
+ const char *str;
+ isl_map *map;
+
+ 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);
+}
+
int main()
{
struct isl_ctx *ctx;
srcdir = getenv("srcdir");
+ assert(srcdir);
ctx = isl_ctx_alloc();
test_read(ctx);
test_construction(ctx);
+ test_dim(ctx);
test_div(ctx);
test_application(ctx);
test_affine_hull(ctx);
test_convex_hull(ctx);
test_gist(ctx);
+ test_coalesce(ctx);
+ test_closure(ctx);
+ test_lexmin(ctx);
isl_ctx_free(ctx);
return 0;
}