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)
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)
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_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()
test_gist(ctx);
test_coalesce(ctx);
test_closure(ctx);
+ test_lexmin(ctx);
isl_ctx_free(ctx);
return 0;
}