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 */
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 */
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, "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)
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 "
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;
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(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()
test_gist(ctx);
test_coalesce(ctx);
test_closure(ctx);
+ test_lexmin(ctx);
isl_ctx_free(ctx);
return 0;
}
projects / platform / upstream / isl.git / blobdiff