/*
* Copyright 2008-2009 Katholieke Universiteit Leuven
*
- * Use of this software is governed by the GNU LGPLv2.1 license
+ * Use of this software is governed by the MIT license
*
* Written by Sven Verdoolaege, K.U.Leuven, Departement
* Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
#include <limits.h>
#include <isl_ctx_private.h>
#include <isl_map_private.h>
-#include <isl/aff.h>
+#include <isl_aff_private.h>
#include <isl/set.h>
#include <isl/flow.h>
#include <isl/constraint.h>
#include <isl/schedule.h>
#include <isl_options_private.h>
#include <isl/vertices.h>
+#include <isl/ast_build.h>
+#include <isl/val.h>
#define ARRAY_SIZE(array) (sizeof(array)/sizeof(*array))
"{ [a] -> [b] : true }") < 0)
return -1;
+ if (test_parse_map_equal(ctx, "{ [i] : i/2 <= 5 }",
+ "{ [i] : i <= 10 }") < 0)
+ return -1;
+
+ if (test_parse_map_equal(ctx, "{Sym=[n] [i] : i <= n }",
+ "[n] -> { [i] : i <= n }") < 0)
+ return -1;
+
+ if (test_parse_map_equal(ctx, "{ [*] }", "{ [a] }") < 0)
+ return -1;
+
+ if (test_parse_map_equal(ctx, "{ [i] : 2*floor(i/2) = i }",
+ "{ [i] : exists a : i = 2 a }") < 0)
+ return -1;
+
+ if (test_parse_map_equal(ctx, "{ [a] -> [b] : a = 5 implies b = 5 }",
+ "{ [a] -> [b] : a != 5 or b = 5 }") < 0)
+ return -1;
+
return 0;
}
isl_map_free(map2);
}
-void test_div(struct isl_ctx *ctx)
+struct {
+ __isl_give isl_val *(*op)(__isl_take isl_val *v);
+ const char *arg;
+ const char *res;
+} val_un_tests[] = {
+ { &isl_val_neg, "0", "0" },
+ { &isl_val_abs, "0", "0" },
+ { &isl_val_2exp, "0", "1" },
+ { &isl_val_floor, "0", "0" },
+ { &isl_val_ceil, "0", "0" },
+ { &isl_val_neg, "1", "-1" },
+ { &isl_val_neg, "-1", "1" },
+ { &isl_val_neg, "1/2", "-1/2" },
+ { &isl_val_neg, "-1/2", "1/2" },
+ { &isl_val_neg, "infty", "-infty" },
+ { &isl_val_neg, "-infty", "infty" },
+ { &isl_val_neg, "NaN", "NaN" },
+ { &isl_val_abs, "1", "1" },
+ { &isl_val_abs, "-1", "1" },
+ { &isl_val_abs, "1/2", "1/2" },
+ { &isl_val_abs, "-1/2", "1/2" },
+ { &isl_val_abs, "infty", "infty" },
+ { &isl_val_abs, "-infty", "infty" },
+ { &isl_val_abs, "NaN", "NaN" },
+ { &isl_val_floor, "1", "1" },
+ { &isl_val_floor, "-1", "-1" },
+ { &isl_val_floor, "1/2", "0" },
+ { &isl_val_floor, "-1/2", "-1" },
+ { &isl_val_floor, "infty", "infty" },
+ { &isl_val_floor, "-infty", "-infty" },
+ { &isl_val_floor, "NaN", "NaN" },
+ { &isl_val_ceil, "1", "1" },
+ { &isl_val_ceil, "-1", "-1" },
+ { &isl_val_ceil, "1/2", "1" },
+ { &isl_val_ceil, "-1/2", "0" },
+ { &isl_val_ceil, "infty", "infty" },
+ { &isl_val_ceil, "-infty", "-infty" },
+ { &isl_val_ceil, "NaN", "NaN" },
+ { &isl_val_2exp, "-3", "1/8" },
+ { &isl_val_2exp, "-1", "1/2" },
+ { &isl_val_2exp, "1", "2" },
+ { &isl_val_2exp, "2", "4" },
+ { &isl_val_2exp, "3", "8" },
+};
+
+/* Perform some basic tests of unary operations on isl_val objects.
+ */
+static int test_un_val(isl_ctx *ctx)
+{
+ int i;
+ isl_val *v, *res;
+ __isl_give isl_val *(*fn)(__isl_take isl_val *v);
+ int ok;
+
+ for (i = 0; i < ARRAY_SIZE(val_un_tests); ++i) {
+ v = isl_val_read_from_str(ctx, val_un_tests[i].arg);
+ res = isl_val_read_from_str(ctx, val_un_tests[i].res);
+ fn = val_un_tests[i].op;
+ v = fn(v);
+ if (isl_val_is_nan(res))
+ ok = isl_val_is_nan(v);
+ else
+ ok = isl_val_eq(v, res);
+ isl_val_free(v);
+ isl_val_free(res);
+ if (ok < 0)
+ return -1;
+ if (!ok)
+ isl_die(ctx, isl_error_unknown,
+ "unexpected result", return -1);
+ }
+
+ return 0;
+}
+
+struct {
+ __isl_give isl_val *(*fn)(__isl_take isl_val *v1,
+ __isl_take isl_val *v2);
+} val_bin_op[] = {
+ ['+'] = { &isl_val_add },
+ ['-'] = { &isl_val_sub },
+ ['*'] = { &isl_val_mul },
+ ['/'] = { &isl_val_div },
+ ['g'] = { &isl_val_gcd },
+ ['m'] = { &isl_val_min },
+ ['M'] = { &isl_val_max },
+};
+
+struct {
+ const char *arg1;
+ unsigned char op;
+ const char *arg2;
+ const char *res;
+} val_bin_tests[] = {
+ { "0", '+', "0", "0" },
+ { "1", '+', "0", "1" },
+ { "1", '+', "1", "2" },
+ { "1", '-', "1", "0" },
+ { "1", '*', "1", "1" },
+ { "1", '/', "1", "1" },
+ { "2", '*', "3", "6" },
+ { "2", '*', "1/2", "1" },
+ { "2", '*', "1/3", "2/3" },
+ { "2/3", '*', "3/5", "2/5" },
+ { "2/3", '*', "7/5", "14/15" },
+ { "2", '/', "1/2", "4" },
+ { "-2", '/', "-1/2", "4" },
+ { "-2", '/', "1/2", "-4" },
+ { "2", '/', "-1/2", "-4" },
+ { "2", '/', "2", "1" },
+ { "2", '/', "3", "2/3" },
+ { "2/3", '/', "5/3", "2/5" },
+ { "2/3", '/', "5/7", "14/15" },
+ { "0", '/', "0", "NaN" },
+ { "42", '/', "0", "NaN" },
+ { "-42", '/', "0", "NaN" },
+ { "infty", '/', "0", "NaN" },
+ { "-infty", '/', "0", "NaN" },
+ { "NaN", '/', "0", "NaN" },
+ { "0", '/', "NaN", "NaN" },
+ { "42", '/', "NaN", "NaN" },
+ { "-42", '/', "NaN", "NaN" },
+ { "infty", '/', "NaN", "NaN" },
+ { "-infty", '/', "NaN", "NaN" },
+ { "NaN", '/', "NaN", "NaN" },
+ { "0", '/', "infty", "0" },
+ { "42", '/', "infty", "0" },
+ { "-42", '/', "infty", "0" },
+ { "infty", '/', "infty", "NaN" },
+ { "-infty", '/', "infty", "NaN" },
+ { "NaN", '/', "infty", "NaN" },
+ { "0", '/', "-infty", "0" },
+ { "42", '/', "-infty", "0" },
+ { "-42", '/', "-infty", "0" },
+ { "infty", '/', "-infty", "NaN" },
+ { "-infty", '/', "-infty", "NaN" },
+ { "NaN", '/', "-infty", "NaN" },
+ { "1", '-', "1/3", "2/3" },
+ { "1/3", '+', "1/2", "5/6" },
+ { "1/2", '+', "1/2", "1" },
+ { "3/4", '-', "1/4", "1/2" },
+ { "1/2", '-', "1/3", "1/6" },
+ { "infty", '+', "42", "infty" },
+ { "infty", '+', "infty", "infty" },
+ { "42", '+', "infty", "infty" },
+ { "infty", '-', "infty", "NaN" },
+ { "infty", '*', "infty", "infty" },
+ { "infty", '*', "-infty", "-infty" },
+ { "-infty", '*', "infty", "-infty" },
+ { "-infty", '*', "-infty", "infty" },
+ { "0", '*', "infty", "NaN" },
+ { "1", '*', "infty", "infty" },
+ { "infty", '*', "0", "NaN" },
+ { "infty", '*', "42", "infty" },
+ { "42", '-', "infty", "-infty" },
+ { "infty", '+', "-infty", "NaN" },
+ { "4", 'g', "6", "2" },
+ { "5", 'g', "6", "1" },
+ { "42", 'm', "3", "3" },
+ { "42", 'M', "3", "42" },
+ { "3", 'm', "42", "3" },
+ { "3", 'M', "42", "42" },
+ { "42", 'm', "infty", "42" },
+ { "42", 'M', "infty", "infty" },
+ { "42", 'm', "-infty", "-infty" },
+ { "42", 'M', "-infty", "42" },
+ { "42", 'm', "NaN", "NaN" },
+ { "42", 'M', "NaN", "NaN" },
+ { "infty", 'm', "-infty", "-infty" },
+ { "infty", 'M', "-infty", "infty" },
+};
+
+/* Perform some basic tests of binary operations on isl_val objects.
+ */
+static int test_bin_val(isl_ctx *ctx)
+{
+ int i;
+ isl_val *v1, *v2, *res;
+ __isl_give isl_val *(*fn)(__isl_take isl_val *v1,
+ __isl_take isl_val *v2);
+ int ok;
+
+ for (i = 0; i < ARRAY_SIZE(val_bin_tests); ++i) {
+ v1 = isl_val_read_from_str(ctx, val_bin_tests[i].arg1);
+ v2 = isl_val_read_from_str(ctx, val_bin_tests[i].arg2);
+ res = isl_val_read_from_str(ctx, val_bin_tests[i].res);
+ fn = val_bin_op[val_bin_tests[i].op].fn;
+ v1 = fn(v1, v2);
+ if (isl_val_is_nan(res))
+ ok = isl_val_is_nan(v1);
+ else
+ ok = isl_val_eq(v1, res);
+ isl_val_free(v1);
+ isl_val_free(res);
+ if (ok < 0)
+ return -1;
+ if (!ok)
+ isl_die(ctx, isl_error_unknown,
+ "unexpected result", return -1);
+ }
+
+ return 0;
+}
+
+/* Perform some basic tests on isl_val objects.
+ */
+static int test_val(isl_ctx *ctx)
+{
+ if (test_un_val(ctx) < 0)
+ return -1;
+ if (test_bin_val(ctx) < 0)
+ return -1;
+ return 0;
+}
+
+static int test_div(isl_ctx *ctx)
{
+ unsigned n;
+ const char *str;
+ int empty;
isl_int v;
isl_space *dim;
+ isl_set *set;
isl_local_space *ls;
struct isl_basic_set *bset;
struct isl_constraint *c;
isl_basic_set_free(bset);
isl_int_clear(v);
+
+ str = "{ [i] : exists (e0, e1: 3e1 >= 1 + 2e0 and "
+ "8e1 <= -1 + 5i - 5e0 and 2e1 >= 1 + 2i - 5e0) }";
+ set = isl_set_read_from_str(ctx, str);
+ set = isl_set_compute_divs(set);
+ isl_set_free(set);
+ if (!set)
+ return -1;
+
+ str = "{ [i,j] : 2*[i/2] + 3 * [j/4] <= 10 and 2 i = j }";
+ bset = isl_basic_set_read_from_str(ctx, str);
+ n = isl_basic_set_dim(bset, isl_dim_div);
+ isl_basic_set_free(bset);
+ if (!bset)
+ return -1;
+ if (n != 0)
+ isl_die(ctx, isl_error_unknown,
+ "expecting no existentials", return -1);
+
+ str = "{ [i,j,k] : 3 + i + 2j >= 0 and 2 * [(i+2j)/4] <= k }";
+ set = isl_set_read_from_str(ctx, str);
+ set = isl_set_remove_divs_involving_dims(set, isl_dim_set, 0, 2);
+ set = isl_set_fix_si(set, isl_dim_set, 2, -3);
+ empty = isl_set_is_empty(set);
+ isl_set_free(set);
+ if (empty < 0)
+ return -1;
+ if (!empty)
+ isl_die(ctx, isl_error_unknown,
+ "result not as accurate as expected", return -1);
+
+ return 0;
}
void test_application_case(struct isl_ctx *ctx, const char *name)
{
const char *str;
isl_set *set;
- isl_basic_set *bset;
+ isl_basic_set *bset, *bset2;
int n;
+ int subset;
test_affine_hull_case(ctx, "affine2");
test_affine_hull_case(ctx, "affine");
isl_die(ctx, isl_error_unknown, "not expecting any divs",
return -1);
+ /* Check that isl_map_affine_hull is not confused by
+ * the reordering of divs in isl_map_align_divs.
+ */
+ str = "{ [a, b, c, 0] : exists (e0 = [(b)/32], e1 = [(c)/32]: "
+ "32e0 = b and 32e1 = c); "
+ "[a, 0, c, 0] : exists (e0 = [(c)/32]: 32e0 = c) }";
+ set = isl_set_read_from_str(ctx, str);
+ bset = isl_set_affine_hull(set);
+ isl_basic_set_free(bset);
+ if (!bset)
+ return -1;
+
+ str = "{ [a] : exists e0, e1, e2: 32e1 = 31 + 31a + 31e0 and "
+ "32e2 = 31 + 31e0 }";
+ set = isl_set_read_from_str(ctx, str);
+ bset = isl_set_affine_hull(set);
+ str = "{ [a] : exists e : a = 32 e }";
+ bset2 = isl_basic_set_read_from_str(ctx, str);
+ subset = isl_basic_set_is_subset(bset, bset2);
+ isl_basic_set_free(bset);
+ isl_basic_set_free(bset2);
+ if (subset < 0)
+ return -1;
+ if (!subset)
+ isl_die(ctx, isl_error_unknown, "not as accurate as expected",
+ return -1);
+
return 0;
}
fclose(input);
}
-void test_gist(struct isl_ctx *ctx)
+static int test_gist(struct isl_ctx *ctx)
{
const char *str;
isl_basic_set *bset1, *bset2;
+ isl_map *map1, *map2;
test_gist_case(ctx, "gist1");
bset1 = isl_basic_set_gist(bset1, bset2);
assert(bset1 && bset1->n_div == 0);
isl_basic_set_free(bset1);
+
+ /* Check that the integer divisions of the second disjunct
+ * do not spread to the first disjunct.
+ */
+ str = "[t1] -> { S_0[] -> A[o0] : (exists (e0 = [(-t1 + o0)/16]: "
+ "16e0 = -t1 + o0 and o0 >= 0 and o0 <= 15 and t1 >= 0)) or "
+ "(exists (e0 = [(-1 + t1)/16], "
+ "e1 = [(-16 + t1 - 16e0)/4294967296]: "
+ "4294967296e1 = -16 + t1 - o0 - 16e0 and "
+ "16e0 <= -1 + t1 and 16e0 >= -16 + t1 and o0 >= 0 and "
+ "o0 <= 4294967295 and t1 <= -1)) }";
+ map1 = isl_map_read_from_str(ctx, str);
+ str = "[t1] -> { S_0[] -> A[o0] : t1 >= 0 and t1 <= 4294967295 }";
+ map2 = isl_map_read_from_str(ctx, str);
+ map1 = isl_map_gist(map1, map2);
+ if (!map1)
+ return -1;
+ if (map1->n != 1)
+ isl_die(ctx, isl_error_unknown, "expecting single disjunct",
+ isl_map_free(map1); return -1);
+ if (isl_basic_map_dim(map1->p[0], isl_dim_div) != 1)
+ isl_die(ctx, isl_error_unknown, "expecting single div",
+ isl_map_free(map1); return -1);
+ isl_map_free(map1);
+
+ return 0;
}
int test_coalesce_set(isl_ctx *ctx, const char *str, int check_one)
return r;
}
-int test_coalesce(struct isl_ctx *ctx)
-{
+/* Inputs for coalescing tests.
+ * "str" is a string representation of the input set.
+ * "single_disjunct" is set if we expect the result to consist of
+ * a single disjunct.
+ */
+struct {
+ int single_disjunct;
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 }");
- 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}");
- 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}");
- 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}");
- 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}");
- 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}");
- 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}");
- 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}");
- 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}");
- 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}");
- 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}");
- 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 }");
- 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 }");
- 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}");
- 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}");
- 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 }");
- 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 }");
- 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 ) }");
- map = isl_map_coalesce(map);
- map2 = isl_map_read_from_str(ctx,
- "[n] -> { [i0] -> [o0] : exists (e0 = [(i0)/4], e1 = [(o0)/4], "
+} coalesce_tests[] = {
+ { 1, "{[x,y]: x >= 0 & x <= 10 & y >= 0 & y <= 10 or "
+ "y >= x & x >= 2 & 5 >= y }" },
+ { 1, "{[x,y]: y >= 0 & 2x + y <= 30 & y <= 10 & x >= 0 or "
+ "x + y >= 10 & y <= x & x + y <= 20 & y >= 0}" },
+ { 0, "{[x,y]: y >= 0 & 2x + y <= 30 & y <= 10 & x >= 0 or "
+ "x + y >= 10 & y <= x & x + y <= 19 & y >= 0}" },
+ { 1, "{[x,y]: y >= 0 & x <= 5 & y <= x or "
+ "y >= 0 & x >= 6 & x <= 10 & y <= x}" },
+ { 0, "{[x,y]: y >= 0 & x <= 5 & y <= x or "
+ "y >= 0 & x >= 7 & x <= 10 & y <= x}" },
+ { 0, "{[x,y]: y >= 0 & x <= 5 & y <= x or "
+ "y >= 0 & x >= 6 & x <= 10 & y + 1 <= x}" },
+ { 1, "{[x,y]: y >= 0 & x <= 5 & y <= x or y >= 0 & x = 6 & y <= 6}" },
+ { 0, "{[x,y]: y >= 0 & x <= 5 & y <= x or y >= 0 & x = 7 & y <= 6}" },
+ { 1, "{[x,y]: y >= 0 & x <= 5 & y <= x or y >= 0 & x = 6 & y <= 5}" },
+ { 0, "{[x,y]: y >= 0 & x <= 5 & y <= x or y >= 0 & x = 6 & y <= 7}" },
+ { 1, "[n] -> { [i] : i = 1 and n >= 2 or 2 <= i and i <= n }" },
+ { 0, "{[x,y] : x >= 0 and y >= 0 or 0 <= y and y <= 5 and x = -1}" },
+ { 1, "[n] -> { [i] : 1 <= i and i <= n - 1 or 2 <= i and i <= n }" },
+ { 0, "[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 "
"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], "
+ "[[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 "
"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 ) }");
- 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 "
+ "4e5 <= -2n + i0 and 4e5 >= -3 - 2n + i0 ) }" },
+ { 0, "[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);
- map = isl_map_coalesce(map);
- map2 = isl_map_read_from_str(ctx, str);
- 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] : "
+ "o3 <= -1 + o2 and o3 >= 1 - m + o2 and o3 >= 2 and o3 <= n) }" },
+ { 0, "[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 "
"(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);
- map = isl_map_coalesce(map);
- map2 = isl_map_read_from_str(ctx, str);
- 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 "
+ "o6 >= 1 - M + i0 + i6 - o0 and N >= 2M and o6 >= i0 + i6 - o0) }" },
+ { 0, "[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);
- map = isl_map_coalesce(map);
- map2 = isl_map_read_from_str(ctx, 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);
- map = isl_map_coalesce(map);
- map2 = isl_map_read_from_str(ctx, str);
- 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 "
+ "(M = 0 and o0 = 0 and N >= 3) }" },
+ { 0, "{ [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) }" },
+ { 0, "[M] -> { [i1] : (i1 >= 2 and i1 <= M) or (i1 = M and M >= 1) }" },
+ { 0, "{[x,y] : x,y >= 0; [x,y] : 10 <= x <= 20 and y >= -1 }" },
+ { 1, "{ [x, y] : (x >= 1 and y >= 1 and x <= 2 and y <= 2) or "
+ "(y = 3 and x = 1) }" },
+ { 1, "[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);
- if (test_coalesce_unbounded_wrapping(ctx) < 0)
- return -1;
- if (test_coalesce_set(ctx, "{[x,0] : x >= 0; [x,1] : x <= 20}", 0) < 0)
- return -1;
- if (test_coalesce_set(ctx, "{ [x, 1 - x] : 0 <= x <= 1; [0,0] }", 1) < 0)
- return -1;
- if (test_coalesce_set(ctx, "{ [0,0]; [i,i] : 1 <= i <= 10 }", 1) < 0)
- return -1;
- if (test_coalesce_set(ctx, "{ [0,0]; [i,j] : 1 <= i,j <= 10 }", 0) < 0)
- return -1;
- if (test_coalesce_set(ctx, "{ [0,0]; [i,2i] : 1 <= i <= 10 }", 1) < 0)
- return -1;
- if (test_coalesce_set(ctx, "{ [0,0]; [i,2i] : 2 <= i <= 10 }", 0) < 0)
- return -1;
- if (test_coalesce_set(ctx, "{ [1,0]; [i,2i] : 1 <= i <= 10 }", 0) < 0)
- return -1;
- if (test_coalesce_set(ctx, "{ [0,1]; [i,2i] : 1 <= i <= 10 }", 0) < 0)
- return -1;
- if (test_coalesce_set(ctx, "{ [a, b] : exists e : 2e = a and "
- "a >= 0 and (a <= 3 or (b <= 0 and b >= -4 + a)) }", 0) < 0)
- return -1;
- if (test_coalesce_set(ctx,
- "{ [i, j, i', j'] : i <= 2 and j <= 2 and "
+ "i4 <= -1 + M) }" },
+ { 1, "{ [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) }" },
+ { 0, "{[x,0] : x >= 0; [x,1] : x <= 20}" },
+ { 1, "{ [x, 1 - x] : 0 <= x <= 1; [0,0] }" },
+ { 1, "{ [0,0]; [i,i] : 1 <= i <= 10 }" },
+ { 0, "{ [0,0]; [i,j] : 1 <= i,j <= 10 }" },
+ { 1, "{ [0,0]; [i,2i] : 1 <= i <= 10 }" },
+ { 0, "{ [0,0]; [i,2i] : 2 <= i <= 10 }" },
+ { 0, "{ [1,0]; [i,2i] : 1 <= i <= 10 }" },
+ { 0, "{ [0,1]; [i,2i] : 1 <= i <= 10 }" },
+ { 0, "{ [a, b] : exists e : 2e = a and "
+ "a >= 0 and (a <= 3 or (b <= 0 and b >= -4 + a)) }" },
+ { 0, "{ [i, j, i', j'] : i <= 2 and j <= 2 and "
"j' >= -1 + 2i + j - 2i' and i' <= -1 + i and "
"j >= 1 and j' <= i + j - i' and i >= 1; "
- "[1, 1, 1, 1] }", 0) < 0)
- return -1;
- if (test_coalesce_set(ctx, "{ [i,j] : exists a,b : i = 2a and j = 3b; "
- "[i,j] : exists a : j = 3a }", 1) < 0)
+ "[1, 1, 1, 1] }" },
+ { 1, "{ [i,j] : exists a,b : i = 2a and j = 3b; "
+ "[i,j] : exists a : j = 3a }" },
+ { 1, "{ [a, b, c] : (c <= 7 - b and b <= 1 and b >= 0 and "
+ "c >= 3 + b and b <= 3 + 8a and b >= -26 + 8a and "
+ "a >= 3) or "
+ "(b <= 1 and c <= 7 and b >= 0 and c >= 4 + b and "
+ "b <= 3 + 8a and b >= -26 + 8a and a >= 3) }" },
+ { 1, "{ [a, 0, c] : c >= 1 and c <= 29 and c >= -1 + 8a and "
+ "c <= 6 + 8a and a >= 3; "
+ "[a, -1, c] : c >= 1 and c <= 30 and c >= 8a and "
+ "c <= 7 + 8a and a >= 3 and a <= 4 }" },
+ { 1, "{ [x,y] : 0 <= x <= 2 and y >= 0 and x + 2y <= 4; "
+ "[x,0] : 3 <= x <= 4 }" },
+ { 1, "{ [x,y] : 0 <= x <= 3 and y >= 0 and x + 3y <= 6; "
+ "[x,0] : 4 <= x <= 5 }" },
+ { 0, "{ [x,y] : 0 <= x <= 2 and y >= 0 and x + 2y <= 4; "
+ "[x,0] : 3 <= x <= 5 }" },
+ { 0, "{ [x,y] : 0 <= x <= 2 and y >= 0 and x + y <= 4; "
+ "[x,0] : 3 <= x <= 4 }" },
+ { 1 , "{ [i0, i1] : i0 <= 122 and i0 >= 1 and 128i1 >= -249 + i0 and "
+ "i1 <= 0; "
+ "[i0, 0] : i0 >= 123 and i0 <= 124 }" },
+};
+
+/* Test the functionality of isl_set_coalesce.
+ * That is, check that the output is always equal to the input
+ * and in some cases that the result consists of a single disjunct.
+ */
+static int test_coalesce(struct isl_ctx *ctx)
+{
+ int i;
+
+ for (i = 0; i < ARRAY_SIZE(coalesce_tests); ++i) {
+ const char *str = coalesce_tests[i].str;
+ int check_one = coalesce_tests[i].single_disjunct;
+ if (test_coalesce_set(ctx, str, check_one) < 0)
+ return -1;
+ }
+
+ if (test_coalesce_unbounded_wrapping(ctx) < 0)
return -1;
+
return 0;
}
isl_map_free(map);
}
-void test_lexmin(struct isl_ctx *ctx)
+static int test_lexmin(struct isl_ctx *ctx)
{
+ int equal;
const char *str;
isl_basic_map *bmap;
isl_map *map, *map2;
assert(isl_map_is_equal(map, map2));
isl_map_free(map);
isl_map_free(map2);
+
+ /* Check that empty pieces are properly combined. */
+ str = "[K, N] -> { [x, y] -> [a, b] : K+2<=N<=K+4 and x>=4 and "
+ "2N-6<=x<K+N and N-1<=a<=K+N-1 and N+b-6<=a<=2N-4 and "
+ "b<=2N-3K+a and 3b<=4N-K+1 and b>=N and a>=x+1 }";
+ map = isl_map_read_from_str(ctx, str);
+ map = isl_map_lexmin(map);
+ str = "[K, N] -> { [x, y] -> [1 + x, N] : x >= -6 + 2N and "
+ "x <= -5 + 2N and x >= -1 + 3K - N and x <= -2 + K + N and "
+ "x >= 4 }";
+ map2 = isl_map_read_from_str(ctx, str);
+ assert(isl_map_is_equal(map, map2));
+ isl_map_free(map);
+ isl_map_free(map2);
+
+ str = "[i] -> { [i', j] : j = i - 8i' and i' >= 0 and i' <= 7 and "
+ " 8i' <= i and 8i' >= -7 + i }";
+ set = isl_set_read_from_str(ctx, str);
+ pma = isl_set_lexmin_pw_multi_aff(isl_set_copy(set));
+ set2 = isl_set_from_pw_multi_aff(pma);
+ equal = isl_set_is_equal(set, set2);
+ isl_set_free(set);
+ isl_set_free(set2);
+ if (equal < 0)
+ return -1;
+ if (!equal)
+ isl_die(ctx, isl_error_unknown,
+ "unexpected difference between set and "
+ "piecewise affine expression", return -1);
+
+ return 0;
}
struct must_may {
test_bijective_case(ctx, "[N,M]->{[i,j] -> [x,y] : 2x=i & y =j}", 1);
}
-void test_pwqp(struct isl_ctx *ctx)
+static int test_pwqp(struct isl_ctx *ctx)
{
const char *str;
isl_set *set;
isl_pw_qpolynomial *pwqp1, *pwqp2;
+ int equal;
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_sub(pwqp1, pwqp2);
assert(isl_pw_qpolynomial_is_zero(pwqp1));
isl_pw_qpolynomial_free(pwqp1);
+
+ str = "{ [a,b,a] -> (([(2*[a/3]+b)/5]) * ([(2*[a/3]+b)/5])) }";
+ pwqp2 = isl_pw_qpolynomial_read_from_str(ctx, str);
+ str = "{ [a,b,c] -> (([(2*[a/3]+b)/5]) * ([(2*[c/3]+b)/5])) }";
+ pwqp1 = isl_pw_qpolynomial_read_from_str(ctx, str);
+ set = isl_set_read_from_str(ctx, "{ [a,b,a] }");
+ pwqp1 = isl_pw_qpolynomial_intersect_domain(pwqp1, set);
+ equal = isl_pw_qpolynomial_plain_is_equal(pwqp1, pwqp2);
+ isl_pw_qpolynomial_free(pwqp1);
+ isl_pw_qpolynomial_free(pwqp2);
+ if (equal < 0)
+ return -1;
+ if (!equal)
+ isl_die(ctx, isl_error_unknown, "unexpected result", return -1);
+
+ str = "{ [a,b,c] -> (([(2*[a/3]+1)/5]) * ([(2*[c/3]+1)/5])) : b = 1 }";
+ pwqp2 = isl_pw_qpolynomial_read_from_str(ctx, str);
+ str = "{ [a,b,c] -> (([(2*[a/3]+b)/5]) * ([(2*[c/3]+b)/5])) }";
+ pwqp1 = isl_pw_qpolynomial_read_from_str(ctx, str);
+ pwqp1 = isl_pw_qpolynomial_fix_val(pwqp1, isl_dim_set, 1,
+ isl_val_one(ctx));
+ equal = isl_pw_qpolynomial_plain_is_equal(pwqp1, pwqp2);
+ isl_pw_qpolynomial_free(pwqp1);
+ isl_pw_qpolynomial_free(pwqp2);
+ if (equal < 0)
+ return -1;
+ if (!equal)
+ isl_die(ctx, isl_error_unknown, "unexpected result", return -1);
+
+ return 0;
}
void test_split_periods(isl_ctx *ctx)
isl_basic_set_free(bset);
}
-void test_subset(isl_ctx *ctx)
-{
- const char *str;
- isl_set *set1, *set2;
-
- str = "{ [112, 0] }";
- set1 = isl_set_read_from_str(ctx, str);
- str = "{ [i0, i1] : exists (e0 = [(i0 - i1)/16], e1: "
+struct {
+ const char *set1;
+ const char *set2;
+ int subset;
+} subset_tests[] = {
+ { "{ [112, 0] }",
+ "{ [i0, i1] : exists (e0 = [(i0 - i1)/16], e1: "
"16e0 <= i0 - i1 and 16e0 >= -15 + i0 - i1 and "
- "16e1 <= i1 and 16e0 >= -i1 and 16e1 >= -i0 + i1) }";
- set2 = isl_set_read_from_str(ctx, str);
- assert(isl_set_is_subset(set1, set2));
- isl_set_free(set1);
- isl_set_free(set2);
-}
+ "16e1 <= i1 and 16e0 >= -i1 and 16e1 >= -i0 + i1) }", 1 },
+ { "{ [65] }",
+ "{ [i] : exists (e0 = [(255i)/256], e1 = [(127i + 65e0)/191], "
+ "e2 = [(3i + 61e1)/65], e3 = [(52i + 12e2)/61], "
+ "e4 = [(2i + e3)/3], e5 = [(4i + e3)/4], e6 = [(8i + e3)/12]: "
+ "3e4 = 2i + e3 and 4e5 = 4i + e3 and 12e6 = 8i + e3 and "
+ "i <= 255 and 64e3 >= -45 + 67i and i >= 0 and "
+ "256e0 <= 255i and 256e0 >= -255 + 255i and "
+ "191e1 <= 127i + 65e0 and 191e1 >= -190 + 127i + 65e0 and "
+ "65e2 <= 3i + 61e1 and 65e2 >= -64 + 3i + 61e1 and "
+ "61e3 <= 52i + 12e2 and 61e3 >= -60 + 52i + 12e2) }", 1 },
+ { "{ [i] : 0 <= i <= 10 }", "{ rat: [i] : 0 <= i <= 10 }", 1 },
+ { "{ rat: [i] : 0 <= i <= 10 }", "{ [i] : 0 <= i <= 10 }", 0 },
+ { "{ rat: [0] }", "{ [i] : 0 <= i <= 10 }", 1 },
+ { "{ rat: [(1)/2] }", "{ [i] : 0 <= i <= 10 }", 0 },
+};
-int test_factorize(isl_ctx *ctx)
+static int test_subset(isl_ctx *ctx)
+{
+ int i;
+ isl_set *set1, *set2;
+ int subset;
+
+ for (i = 0; i < ARRAY_SIZE(subset_tests); ++i) {
+ set1 = isl_set_read_from_str(ctx, subset_tests[i].set1);
+ set2 = isl_set_read_from_str(ctx, subset_tests[i].set2);
+ subset = isl_set_is_subset(set1, set2);
+ isl_set_free(set1);
+ isl_set_free(set2);
+ if (subset < 0)
+ return -1;
+ if (subset != subset_tests[i].subset)
+ isl_die(ctx, isl_error_unknown,
+ "incorrect subset result", return -1);
+ }
+
+ return 0;
+}
+
+struct {
+ const char *minuend;
+ const char *subtrahend;
+ const char *difference;
+} subtract_domain_tests[] = {
+ { "{ A[i] -> B[i] }", "{ A[i] }", "{ }" },
+ { "{ A[i] -> B[i] }", "{ B[i] }", "{ A[i] -> B[i] }" },
+ { "{ A[i] -> B[i] }", "{ A[i] : i > 0 }", "{ A[i] -> B[i] : i <= 0 }" },
+};
+
+static int test_subtract(isl_ctx *ctx)
+{
+ int i;
+ isl_union_map *umap1, *umap2;
+ isl_union_set *uset;
+ int equal;
+
+ for (i = 0; i < ARRAY_SIZE(subtract_domain_tests); ++i) {
+ umap1 = isl_union_map_read_from_str(ctx,
+ subtract_domain_tests[i].minuend);
+ uset = isl_union_set_read_from_str(ctx,
+ subtract_domain_tests[i].subtrahend);
+ umap2 = isl_union_map_read_from_str(ctx,
+ subtract_domain_tests[i].difference);
+ umap1 = isl_union_map_subtract_domain(umap1, uset);
+ equal = isl_union_map_is_equal(umap1, umap2);
+ isl_union_map_free(umap1);
+ isl_union_map_free(umap2);
+ if (equal < 0)
+ return -1;
+ if (!equal)
+ isl_die(ctx, isl_error_unknown,
+ "incorrect subtract domain result", return -1);
+ }
+
+ return 0;
+}
+
+int test_factorize(isl_ctx *ctx)
{
const char *str;
isl_basic_set *bset;
return 0;
}
-int test_special_schedule(isl_ctx *ctx, const char *domain,
- const char *validity, const char *proximity, const char *expected_sched)
+static __isl_give isl_union_map *compute_schedule(isl_ctx *ctx,
+ const char *domain, const char *validity, const char *proximity)
{
isl_union_set *dom;
isl_union_map *dep;
isl_union_map *prox;
- isl_union_map *sched1, *sched2;
isl_schedule *schedule;
- int equal;
+ isl_union_map *sched;
dom = isl_union_set_read_from_str(ctx, domain);
dep = isl_union_map_read_from_str(ctx, validity);
prox = isl_union_map_read_from_str(ctx, proximity);
schedule = isl_union_set_compute_schedule(dom, dep, prox);
- sched1 = isl_schedule_get_map(schedule);
+ sched = isl_schedule_get_map(schedule);
isl_schedule_free(schedule);
+ return sched;
+}
+
+/* Check that a schedule can be constructed on the given domain
+ * with the given validity and proximity constraints.
+ */
+static int test_has_schedule(isl_ctx *ctx, const char *domain,
+ const char *validity, const char *proximity)
+{
+ isl_union_map *sched;
+
+ sched = compute_schedule(ctx, domain, validity, proximity);
+ if (!sched)
+ return -1;
+
+ isl_union_map_free(sched);
+ return 0;
+}
+
+int test_special_schedule(isl_ctx *ctx, const char *domain,
+ const char *validity, const char *proximity, const char *expected_sched)
+{
+ isl_union_map *sched1, *sched2;
+ int equal;
+
+ sched1 = compute_schedule(ctx, domain, validity, proximity);
sched2 = isl_union_map_read_from_str(ctx, expected_sched);
equal = isl_union_map_is_equal(sched1, sched2);
return 0;
}
+/* Check that the schedule map is properly padded, even after being
+ * reconstructed from the band forest.
+ */
+static int test_padded_schedule(isl_ctx *ctx)
+{
+ const char *str;
+ isl_union_set *D;
+ isl_union_map *validity, *proximity;
+ isl_schedule *sched;
+ isl_union_map *map1, *map2;
+ isl_band_list *list;
+ int equal;
+
+ str = "[N] -> { S0[i] : 0 <= i <= N; S1[i, j] : 0 <= i, j <= N }";
+ D = isl_union_set_read_from_str(ctx, str);
+ validity = isl_union_map_empty(isl_union_set_get_space(D));
+ proximity = isl_union_map_copy(validity);
+ sched = isl_union_set_compute_schedule(D, validity, proximity);
+ map1 = isl_schedule_get_map(sched);
+ list = isl_schedule_get_band_forest(sched);
+ isl_band_list_free(list);
+ map2 = isl_schedule_get_map(sched);
+ isl_schedule_free(sched);
+ equal = isl_union_map_is_equal(map1, map2);
+ isl_union_map_free(map1);
+ isl_union_map_free(map2);
+
+ if (equal < 0)
+ return -1;
+ if (!equal)
+ isl_die(ctx, isl_error_unknown,
+ "reconstructed schedule map not the same as original",
+ return -1);
+
+ return 0;
+}
+
int test_schedule(isl_ctx *ctx)
{
const char *D, *W, *R, *V, *P, *S;
+ /* Handle resulting schedule with zero bands. */
+ if (test_one_schedule(ctx, "{[]}", "{}", "{}", "{[] -> []}", 0, 0) < 0)
+ return -1;
+
/* Jacobi */
D = "[T,N] -> { S1[t,i] : 1 <= t <= T and 2 <= i <= N - 1 }";
W = "{ S1[t,i] -> a[t,i] }";
if (test_special_schedule(ctx, D, V, P, S) < 0)
return -1;
ctx->opt->schedule_algorithm = ISL_SCHEDULE_ALGORITHM_ISL;
- return test_special_schedule(ctx, D, V, P, S);
+ if (test_special_schedule(ctx, D, V, P, S) < 0)
+ return -1;
+
+ D = "{ A[a]; B[] }";
+ V = "{}";
+ P = "{ A[a] -> B[] }";
+ if (test_has_schedule(ctx, D, V, P) < 0)
+ return -1;
+
+ if (test_padded_schedule(ctx) < 0)
+ return -1;
+
+ /* Check that check for progress is not confused by rational
+ * solution.
+ */
+ D = "[N] -> { S0[i, j] : i >= 0 and i <= N and j >= 0 and j <= N }";
+ V = "[N] -> { S0[i0, -1 + N] -> S0[2 + i0, 0] : i0 >= 0 and "
+ "i0 <= -2 + N; "
+ "S0[i0, i1] -> S0[i0, 1 + i1] : i0 >= 0 and "
+ "i0 <= N and i1 >= 0 and i1 <= -1 + N }";
+ P = "{}";
+ ctx->opt->schedule_algorithm = ISL_SCHEDULE_ALGORITHM_FEAUTRIER;
+ if (test_has_schedule(ctx, D, V, P) < 0)
+ return -1;
+ ctx->opt->schedule_algorithm = ISL_SCHEDULE_ALGORITHM_ISL;
+
+ return 0;
}
int test_plain_injective(isl_ctx *ctx, const char *str, int injective)
if (!equal)
isl_die(ctx, isl_error_unknown, "unexpected result", return -1);
+ /* Check that solutions are properly merged. */
+ str = "[n] -> { [a, b, c] : c >= -4a - 2b and "
+ "c <= -1 + n - 4a - 2b and c >= -2b and "
+ "4a >= -4 + n and c >= 0 }";
+ set = isl_set_read_from_str(ctx, str);
+ pwaff = isl_set_dim_min(set, 2);
+ set1 = isl_set_from_pw_aff(pwaff);
+ str = "[n] -> { [(0)] : n >= 1 }";
+ set2 = isl_set_read_from_str(ctx, str);
+ equal = isl_set_is_equal(set1, set2);
+ isl_set_free(set1);
+ isl_set_free(set2);
+
+ if (equal < 0)
+ return -1;
+ if (!equal)
+ isl_die(ctx, isl_error_unknown, "unexpected result", return -1);
+
return 0;
}
s = isl_printer_get_str(p);
isl_printer_free(p);
isl_pw_aff_free(pa);
- equal = !strcmp(s, "(2 - x + 4*floord(x, 4) >= 0) ? (1) : 2");
+ if (!s)
+ equal = -1;
+ else
+ equal = !strcmp(s, "(2 - x + 4*floord(x, 4) >= 0) ? (1) : 2");
free(s);
if (equal < 0)
return -1;
subset = isl_basic_set_is_subset(bset2, bset1);
isl_basic_set_free(bset1);
isl_basic_set_free(bset2);
+ if (empty < 0 || subset < 0)
+ return -1;
if (empty)
isl_die(ctx, isl_error_unknown, "point not found", return -1);
if (!subset)
return 0;
}
+int test_eliminate(isl_ctx *ctx)
+{
+ const char *str;
+ isl_map *map;
+ int equal;
+
+ str = "{ [i] -> [j] : i = 2j }";
+ map = isl_map_read_from_str(ctx, str);
+ map = isl_map_eliminate(map, isl_dim_out, 0, 1);
+ equal = map_check_equal(map, "{ [i] -> [j] : exists a : i = 2a }");
+ isl_map_free(map);
+ if (equal < 0)
+ return -1;
+
+ return 0;
+}
+
+/* Check that isl_set_dim_residue_class detects that the values of j
+ * in the set below are all odd and that it does not detect any spurious
+ * strides.
+ */
+static int test_residue_class(isl_ctx *ctx)
+{
+ const char *str;
+ isl_set *set;
+ isl_int m, r;
+ int res;
+
+ str = "{ [i,j] : j = 4 i + 1 and 0 <= i <= 100; "
+ "[i,j] : j = 4 i + 3 and 500 <= i <= 600 }";
+ set = isl_set_read_from_str(ctx, str);
+ isl_int_init(m);
+ isl_int_init(r);
+ res = isl_set_dim_residue_class(set, 1, &m, &r);
+ if (res >= 0 &&
+ (isl_int_cmp_si(m, 2) != 0 || isl_int_cmp_si(r, 1) != 0))
+ isl_die(ctx, isl_error_unknown, "incorrect residue class",
+ res = -1);
+ isl_int_clear(r);
+ isl_int_clear(m);
+ isl_set_free(set);
+
+ return res;
+}
+
+int test_align_parameters(isl_ctx *ctx)
+{
+ const char *str;
+ isl_space *space;
+ isl_multi_aff *ma1, *ma2;
+ int equal;
+
+ str = "{ A[B[] -> C[]] -> D[E[] -> F[]] }";
+ ma1 = isl_multi_aff_read_from_str(ctx, str);
+
+ space = isl_space_params_alloc(ctx, 1);
+ space = isl_space_set_dim_name(space, isl_dim_param, 0, "N");
+ ma1 = isl_multi_aff_align_params(ma1, space);
+
+ str = "[N] -> { A[B[] -> C[]] -> D[E[] -> F[]] }";
+ ma2 = isl_multi_aff_read_from_str(ctx, str);
+
+ equal = isl_multi_aff_plain_is_equal(ma1, ma2);
+
+ isl_multi_aff_free(ma1);
+ isl_multi_aff_free(ma2);
+
+ if (equal < 0)
+ return -1;
+ if (!equal)
+ isl_die(ctx, isl_error_unknown,
+ "result not as expected", return -1);
+
+ return 0;
+}
+
+static int test_list(isl_ctx *ctx)
+{
+ isl_id *a, *b, *c, *d, *id;
+ isl_id_list *list;
+ int ok;
+
+ a = isl_id_alloc(ctx, "a", NULL);
+ b = isl_id_alloc(ctx, "b", NULL);
+ c = isl_id_alloc(ctx, "c", NULL);
+ d = isl_id_alloc(ctx, "d", NULL);
+
+ list = isl_id_list_alloc(ctx, 4);
+ list = isl_id_list_add(list, a);
+ list = isl_id_list_add(list, b);
+ list = isl_id_list_add(list, c);
+ list = isl_id_list_add(list, d);
+ list = isl_id_list_drop(list, 1, 1);
+
+ if (isl_id_list_n_id(list) != 3) {
+ isl_id_list_free(list);
+ isl_die(ctx, isl_error_unknown,
+ "unexpected number of elements in list", return -1);
+ }
+
+ id = isl_id_list_get_id(list, 0);
+ ok = id == a;
+ isl_id_free(id);
+ id = isl_id_list_get_id(list, 1);
+ ok = ok && id == c;
+ isl_id_free(id);
+ id = isl_id_list_get_id(list, 2);
+ ok = ok && id == d;
+ isl_id_free(id);
+
+ isl_id_list_free(list);
+
+ if (!ok)
+ isl_die(ctx, isl_error_unknown,
+ "unexpected elements in list", return -1);
+
+ return 0;
+}
+
+const char *set_conversion_tests[] = {
+ "[N] -> { [i] : N - 1 <= 2 i <= N }",
+ "[N] -> { [i] : exists a : i = 4 a and N - 1 <= i <= N }",
+ "[N] -> { [i,j] : exists a : i = 4 a and N - 1 <= i, 2j <= N }",
+ "[N] -> { [[i]->[j]] : exists a : i = 4 a and N - 1 <= i, 2j <= N }",
+};
+
+/* Check that converting from isl_set to isl_pw_multi_aff and back
+ * to isl_set produces the original isl_set.
+ */
+static int test_set_conversion(isl_ctx *ctx)
+{
+ int i;
+ const char *str;
+ isl_set *set1, *set2;
+ isl_pw_multi_aff *pma;
+ int equal;
+
+ for (i = 0; i < ARRAY_SIZE(set_conversion_tests); ++i) {
+ str = set_conversion_tests[i];
+ set1 = isl_set_read_from_str(ctx, str);
+ pma = isl_pw_multi_aff_from_set(isl_set_copy(set1));
+ set2 = isl_set_from_pw_multi_aff(pma);
+ equal = isl_set_is_equal(set1, set2);
+ isl_set_free(set1);
+ isl_set_free(set2);
+
+ if (equal < 0)
+ return -1;
+ if (!equal)
+ isl_die(ctx, isl_error_unknown, "bad conversion",
+ return -1);
+ }
+
+ return 0;
+}
+
+/* Check that converting from isl_map to isl_pw_multi_aff and back
+ * to isl_map produces the original isl_map.
+ */
+static int test_map_conversion(isl_ctx *ctx)
+{
+ const char *str;
+ isl_map *map1, *map2;
+ isl_pw_multi_aff *pma;
+ int equal;
+
+ str = "{ [a, b, c, d] -> s0[a, b, e, f] : "
+ "exists (e0 = [(a - 2c)/3], e1 = [(-4 + b - 5d)/9], "
+ "e2 = [(-d + f)/9]: 3e0 = a - 2c and 9e1 = -4 + b - 5d and "
+ "9e2 = -d + f and f >= 0 and f <= 8 and 9e >= -5 - 2a and "
+ "9e <= -2 - 2a) }";
+ map1 = isl_map_read_from_str(ctx, str);
+ pma = isl_pw_multi_aff_from_map(isl_map_copy(map1));
+ map2 = isl_map_from_pw_multi_aff(pma);
+ equal = isl_map_is_equal(map1, map2);
+ isl_map_free(map1);
+ isl_map_free(map2);
+
+ if (equal < 0)
+ return -1;
+ if (!equal)
+ isl_die(ctx, isl_error_unknown, "bad conversion", return -1);
+
+ return 0;
+}
+
+static int test_conversion(isl_ctx *ctx)
+{
+ if (test_set_conversion(ctx) < 0)
+ return -1;
+ if (test_map_conversion(ctx) < 0)
+ return -1;
+ return 0;
+}
+
+/* Check that isl_basic_map_curry does not modify input.
+ */
+static int test_curry(isl_ctx *ctx)
+{
+ const char *str;
+ isl_basic_map *bmap1, *bmap2;
+ int equal;
+
+ str = "{ [A[] -> B[]] -> C[] }";
+ bmap1 = isl_basic_map_read_from_str(ctx, str);
+ bmap2 = isl_basic_map_curry(isl_basic_map_copy(bmap1));
+ equal = isl_basic_map_is_equal(bmap1, bmap2);
+ isl_basic_map_free(bmap1);
+ isl_basic_map_free(bmap2);
+
+ if (equal < 0)
+ return -1;
+ if (equal)
+ isl_die(ctx, isl_error_unknown,
+ "curried map should not be equal to original",
+ return -1);
+
+ return 0;
+}
+
+struct {
+ const char *set;
+ const char *ma;
+ const char *res;
+} preimage_tests[] = {
+ { "{ B[i,j] : 0 <= i < 10 and 0 <= j < 100 }",
+ "{ A[j,i] -> B[i,j] }",
+ "{ A[j,i] : 0 <= i < 10 and 0 <= j < 100 }" },
+ { "{ rat: B[i,j] : 0 <= i, j and 3 i + 5 j <= 100 }",
+ "{ A[a,b] -> B[a/2,b/6] }",
+ "{ rat: A[a,b] : 0 <= a, b and 9 a + 5 b <= 600 }" },
+ { "{ B[i,j] : 0 <= i, j and 3 i + 5 j <= 100 }",
+ "{ A[a,b] -> B[a/2,b/6] }",
+ "{ A[a,b] : 0 <= a, b and 9 a + 5 b <= 600 and "
+ "exists i,j : a = 2 i and b = 6 j }" },
+ { "[n] -> { S[i] : 0 <= i <= 100 }", "[n] -> { S[n] }",
+ "[n] -> { : 0 <= n <= 100 }" },
+ { "{ B[i] : 0 <= i < 100 and exists a : i = 4 a }",
+ "{ A[a] -> B[2a] }",
+ "{ A[a] : 0 <= a < 50 and exists b : a = 2 b }" },
+ { "{ B[i] : 0 <= i < 100 and exists a : i = 4 a }",
+ "{ A[a] -> B[([a/2])] }",
+ "{ A[a] : 0 <= a < 200 and exists b : [a/2] = 4 b }" },
+ { "{ B[i,j,k] : 0 <= i,j,k <= 100 }",
+ "{ A[a] -> B[a,a,a/3] }",
+ "{ A[a] : 0 <= a <= 100 and exists b : a = 3 b }" },
+ { "{ B[i,j] : j = [(i)/2] } ", "{ A[i,j] -> B[i/3,j] }",
+ "{ A[i,j] : j = [(i)/6] and exists a : i = 3 a }" },
+};
+
+static int test_preimage_basic_set(isl_ctx *ctx)
+{
+ int i;
+ isl_basic_set *bset1, *bset2;
+ isl_multi_aff *ma;
+ int equal;
+
+ for (i = 0; i < ARRAY_SIZE(preimage_tests); ++i) {
+ bset1 = isl_basic_set_read_from_str(ctx, preimage_tests[i].set);
+ ma = isl_multi_aff_read_from_str(ctx, preimage_tests[i].ma);
+ bset2 = isl_basic_set_read_from_str(ctx, preimage_tests[i].res);
+ bset1 = isl_basic_set_preimage_multi_aff(bset1, ma);
+ equal = isl_basic_set_is_equal(bset1, bset2);
+ isl_basic_set_free(bset1);
+ isl_basic_set_free(bset2);
+ if (equal < 0)
+ return -1;
+ if (!equal)
+ isl_die(ctx, isl_error_unknown, "bad preimage",
+ return -1);
+ }
+
+ return 0;
+}
+
+struct {
+ const char *map;
+ const char *ma;
+ const char *res;
+} preimage_domain_tests[] = {
+ { "{ B[i,j] -> C[2i + 3j] : 0 <= i < 10 and 0 <= j < 100 }",
+ "{ A[j,i] -> B[i,j] }",
+ "{ A[j,i] -> C[2i + 3j] : 0 <= i < 10 and 0 <= j < 100 }" },
+ { "{ B[i] -> C[i]; D[i] -> E[i] }",
+ "{ A[i] -> B[i + 1] }",
+ "{ A[i] -> C[i + 1] }" },
+ { "{ B[i] -> C[i]; B[i] -> E[i] }",
+ "{ A[i] -> B[i + 1] }",
+ "{ A[i] -> C[i + 1]; A[i] -> E[i + 1] }" },
+ { "{ B[i] -> C[([i/2])] }",
+ "{ A[i] -> B[2i] }",
+ "{ A[i] -> C[i] }" },
+ { "{ B[i,j] -> C[([i/2]), ([(i+j)/3])] }",
+ "{ A[i] -> B[([i/5]), ([i/7])] }",
+ "{ A[i] -> C[([([i/5])/2]), ([(([i/5])+([i/7]))/3])] }" },
+ { "[N] -> { B[i] -> C[([N/2]), i, ([N/3])] }",
+ "[N] -> { A[] -> B[([N/5])] }",
+ "[N] -> { A[] -> C[([N/2]), ([N/5]), ([N/3])] }" },
+ { "{ B[i] -> C[i] : exists a : i = 5 a }",
+ "{ A[i] -> B[2i] }",
+ "{ A[i] -> C[2i] : exists a : 2i = 5 a }" },
+ { "{ B[i] -> C[i] : exists a : i = 2 a; "
+ "B[i] -> D[i] : exists a : i = 2 a + 1 }",
+ "{ A[i] -> B[2i] }",
+ "{ A[i] -> C[2i] }" },
+};
+
+static int test_preimage_union_map(isl_ctx *ctx)
+{
+ int i;
+ isl_union_map *umap1, *umap2;
+ isl_multi_aff *ma;
+ int equal;
+
+ for (i = 0; i < ARRAY_SIZE(preimage_domain_tests); ++i) {
+ umap1 = isl_union_map_read_from_str(ctx,
+ preimage_domain_tests[i].map);
+ ma = isl_multi_aff_read_from_str(ctx,
+ preimage_domain_tests[i].ma);
+ umap2 = isl_union_map_read_from_str(ctx,
+ preimage_domain_tests[i].res);
+ umap1 = isl_union_map_preimage_domain_multi_aff(umap1, ma);
+ equal = isl_union_map_is_equal(umap1, umap2);
+ isl_union_map_free(umap1);
+ isl_union_map_free(umap2);
+ if (equal < 0)
+ return -1;
+ if (!equal)
+ isl_die(ctx, isl_error_unknown, "bad preimage",
+ return -1);
+ }
+
+ return 0;
+}
+
+static int test_preimage(isl_ctx *ctx)
+{
+ if (test_preimage_basic_set(ctx) < 0)
+ return -1;
+ if (test_preimage_union_map(ctx) < 0)
+ return -1;
+
+ return 0;
+}
+
+struct {
+ const char *ma1;
+ const char *ma;
+ const char *res;
+} pullback_tests[] = {
+ { "{ B[i,j] -> C[i + 2j] }" , "{ A[a,b] -> B[b,a] }",
+ "{ A[a,b] -> C[b + 2a] }" },
+ { "{ B[i] -> C[2i] }", "{ A[a] -> B[(a)/2] }", "{ A[a] -> C[a] }" },
+ { "{ B[i] -> C[(i)/2] }", "{ A[a] -> B[2a] }", "{ A[a] -> C[a] }" },
+ { "{ B[i] -> C[(i)/2] }", "{ A[a] -> B[(a)/3] }",
+ "{ A[a] -> C[(a)/6] }" },
+ { "{ B[i] -> C[2i] }", "{ A[a] -> B[5a] }", "{ A[a] -> C[10a] }" },
+ { "{ B[i] -> C[2i] }", "{ A[a] -> B[(a)/3] }",
+ "{ A[a] -> C[(2a)/3] }" },
+ { "{ B[i,j] -> C[i + j] }", "{ A[a] -> B[a,a] }", "{ A[a] -> C[2a] }"},
+ { "{ B[a] -> C[a,a] }", "{ A[i,j] -> B[i + j] }",
+ "{ A[i,j] -> C[i + j, i + j] }"},
+ { "{ B[i] -> C[([i/2])] }", "{ B[5] }", "{ C[2] }" },
+ { "[n] -> { B[i,j] -> C[([i/2]) + 2j] }",
+ "[n] -> { B[n,[n/3]] }", "[n] -> { C[([n/2]) + 2*[n/3]] }", },
+};
+
+static int test_pullback(isl_ctx *ctx)
+{
+ int i;
+ isl_multi_aff *ma1, *ma2;
+ isl_multi_aff *ma;
+ int equal;
+
+ for (i = 0; i < ARRAY_SIZE(pullback_tests); ++i) {
+ ma1 = isl_multi_aff_read_from_str(ctx, pullback_tests[i].ma1);
+ ma = isl_multi_aff_read_from_str(ctx, pullback_tests[i].ma);
+ ma2 = isl_multi_aff_read_from_str(ctx, pullback_tests[i].res);
+ ma1 = isl_multi_aff_pullback_multi_aff(ma1, ma);
+ equal = isl_multi_aff_plain_is_equal(ma1, ma2);
+ isl_multi_aff_free(ma1);
+ isl_multi_aff_free(ma2);
+ if (equal < 0)
+ return -1;
+ if (!equal)
+ isl_die(ctx, isl_error_unknown, "bad pullback",
+ return -1);
+ }
+
+ return 0;
+}
+
+/* Check that negation is printed correctly.
+ */
+static int test_ast(isl_ctx *ctx)
+{
+ isl_ast_expr *expr, *expr1, *expr2, *expr3;
+ char *str;
+ int ok;
+
+ expr1 = isl_ast_expr_from_id(isl_id_alloc(ctx, "A", NULL));
+ expr2 = isl_ast_expr_from_id(isl_id_alloc(ctx, "B", NULL));
+ expr = isl_ast_expr_add(expr1, expr2);
+ expr = isl_ast_expr_neg(expr);
+ str = isl_ast_expr_to_str(expr);
+ ok = str ? !strcmp(str, "-(A + B)") : -1;
+ free(str);
+ isl_ast_expr_free(expr);
+
+ if (ok < 0)
+ return -1;
+ if (!ok)
+ isl_die(ctx, isl_error_unknown,
+ "isl_ast_expr printed incorrectly", return -1);
+
+ expr1 = isl_ast_expr_from_id(isl_id_alloc(ctx, "A", NULL));
+ expr2 = isl_ast_expr_from_id(isl_id_alloc(ctx, "B", NULL));
+ expr = isl_ast_expr_add(expr1, expr2);
+ expr3 = isl_ast_expr_from_id(isl_id_alloc(ctx, "C", NULL));
+ expr = isl_ast_expr_sub(expr3, expr);
+ str = isl_ast_expr_to_str(expr);
+ ok = str ? !strcmp(str, "C - (A + B)") : -1;
+ free(str);
+ isl_ast_expr_free(expr);
+
+ if (ok < 0)
+ return -1;
+ if (!ok)
+ isl_die(ctx, isl_error_unknown,
+ "isl_ast_expr printed incorrectly", return -1);
+
+ return 0;
+}
+
+/* Internal data structure for before_for and after_for callbacks.
+ *
+ * depth is the current depth
+ * before is the number of times before_for has been called
+ * after is the number of times after_for has been called
+ */
+struct isl_test_codegen_data {
+ int depth;
+ int before;
+ int after;
+};
+
+/* This function is called before each for loop in the AST generated
+ * from test_ast_gen1.
+ *
+ * Increment the number of calls and the depth.
+ * Check that the space returned by isl_ast_build_get_schedule_space
+ * matches the target space of the schedule returned by
+ * isl_ast_build_get_schedule.
+ * Return an isl_id that is checked by the corresponding call
+ * to after_for.
+ */
+static __isl_give isl_id *before_for(__isl_keep isl_ast_build *build,
+ void *user)
+{
+ struct isl_test_codegen_data *data = user;
+ isl_ctx *ctx;
+ isl_space *space;
+ isl_union_map *schedule;
+ isl_union_set *uset;
+ isl_set *set;
+ int empty;
+ char name[] = "d0";
+
+ ctx = isl_ast_build_get_ctx(build);
+
+ if (data->before >= 3)
+ isl_die(ctx, isl_error_unknown,
+ "unexpected number of for nodes", return NULL);
+ if (data->depth >= 2)
+ isl_die(ctx, isl_error_unknown,
+ "unexpected depth", return NULL);
+
+ snprintf(name, sizeof(name), "d%d", data->depth);
+ data->before++;
+ data->depth++;
+
+ schedule = isl_ast_build_get_schedule(build);
+ uset = isl_union_map_range(schedule);
+ if (!uset)
+ return NULL;
+ if (isl_union_set_n_set(uset) != 1) {
+ isl_union_set_free(uset);
+ isl_die(ctx, isl_error_unknown,
+ "expecting single range space", return NULL);
+ }
+
+ space = isl_ast_build_get_schedule_space(build);
+ set = isl_union_set_extract_set(uset, space);
+ isl_union_set_free(uset);
+ empty = isl_set_is_empty(set);
+ isl_set_free(set);
+
+ if (empty < 0)
+ return NULL;
+ if (empty)
+ isl_die(ctx, isl_error_unknown,
+ "spaces don't match", return NULL);
+
+ return isl_id_alloc(ctx, name, NULL);
+}
+
+/* This function is called after each for loop in the AST generated
+ * from test_ast_gen1.
+ *
+ * Increment the number of calls and decrement the depth.
+ * Check that the annotation attached to the node matches
+ * the isl_id returned by the corresponding call to before_for.
+ */
+static __isl_give isl_ast_node *after_for(__isl_take isl_ast_node *node,
+ __isl_keep isl_ast_build *build, void *user)
+{
+ struct isl_test_codegen_data *data = user;
+ isl_id *id;
+ const char *name;
+ int valid;
+
+ data->after++;
+ data->depth--;
+
+ if (data->after > data->before)
+ isl_die(isl_ast_node_get_ctx(node), isl_error_unknown,
+ "mismatch in number of for nodes",
+ return isl_ast_node_free(node));
+
+ id = isl_ast_node_get_annotation(node);
+ if (!id)
+ isl_die(isl_ast_node_get_ctx(node), isl_error_unknown,
+ "missing annotation", return isl_ast_node_free(node));
+
+ name = isl_id_get_name(id);
+ valid = name && atoi(name + 1) == data->depth;
+ isl_id_free(id);
+
+ if (!valid)
+ isl_die(isl_ast_node_get_ctx(node), isl_error_unknown,
+ "wrong annotation", return isl_ast_node_free(node));
+
+ return node;
+}
+
+/* Check that the before_each_for and after_each_for callbacks
+ * are called for each for loop in the generated code,
+ * that they are called in the right order and that the isl_id
+ * returned from the before_each_for callback is attached to
+ * the isl_ast_node passed to the corresponding after_each_for call.
+ */
+static int test_ast_gen1(isl_ctx *ctx)
+{
+ const char *str;
+ isl_set *set;
+ isl_union_map *schedule;
+ isl_ast_build *build;
+ isl_ast_node *tree;
+ struct isl_test_codegen_data data;
+
+ str = "[N] -> { : N >= 10 }";
+ set = isl_set_read_from_str(ctx, str);
+ str = "[N] -> { A[i,j] -> S[8,i,3,j] : 0 <= i,j <= N; "
+ "B[i,j] -> S[8,j,9,i] : 0 <= i,j <= N }";
+ schedule = isl_union_map_read_from_str(ctx, str);
+
+ data.before = 0;
+ data.after = 0;
+ data.depth = 0;
+ build = isl_ast_build_from_context(set);
+ build = isl_ast_build_set_before_each_for(build,
+ &before_for, &data);
+ build = isl_ast_build_set_after_each_for(build,
+ &after_for, &data);
+ tree = isl_ast_build_ast_from_schedule(build, schedule);
+ isl_ast_build_free(build);
+ if (!tree)
+ return -1;
+
+ isl_ast_node_free(tree);
+
+ if (data.before != 3 || data.after != 3)
+ isl_die(ctx, isl_error_unknown,
+ "unexpected number of for nodes", return -1);
+
+ return 0;
+}
+
+/* Check that the AST generator handles domains that are integrally disjoint
+ * but not ratinoally disjoint.
+ */
+static int test_ast_gen2(isl_ctx *ctx)
+{
+ const char *str;
+ isl_set *set;
+ isl_union_map *schedule;
+ isl_union_map *options;
+ isl_ast_build *build;
+ isl_ast_node *tree;
+
+ str = "{ A[i,j] -> [i,j] : 0 <= i,j <= 1 }";
+ schedule = isl_union_map_read_from_str(ctx, str);
+ set = isl_set_universe(isl_space_params_alloc(ctx, 0));
+ build = isl_ast_build_from_context(set);
+
+ str = "{ [i,j] -> atomic[1] : i + j = 1; [i,j] -> unroll[1] : i = j }";
+ options = isl_union_map_read_from_str(ctx, str);
+ build = isl_ast_build_set_options(build, options);
+ tree = isl_ast_build_ast_from_schedule(build, schedule);
+ isl_ast_build_free(build);
+ if (!tree)
+ return -1;
+ isl_ast_node_free(tree);
+
+ return 0;
+}
+
+/* Increment *user on each call.
+ */
+static __isl_give isl_ast_node *count_domains(__isl_take isl_ast_node *node,
+ __isl_keep isl_ast_build *build, void *user)
+{
+ int *n = user;
+
+ (*n)++;
+
+ return node;
+}
+
+/* Test that unrolling tries to minimize the number of instances.
+ * In particular, for the schedule given below, make sure it generates
+ * 3 nodes (rather than 101).
+ */
+static int test_ast_gen3(isl_ctx *ctx)
+{
+ const char *str;
+ isl_set *set;
+ isl_union_map *schedule;
+ isl_union_map *options;
+ isl_ast_build *build;
+ isl_ast_node *tree;
+ int n_domain = 0;
+
+ str = "[n] -> { A[i] -> [i] : 0 <= i <= 100 and n <= i <= n + 2 }";
+ schedule = isl_union_map_read_from_str(ctx, str);
+ set = isl_set_universe(isl_space_params_alloc(ctx, 0));
+
+ str = "{ [i] -> unroll[0] }";
+ options = isl_union_map_read_from_str(ctx, str);
+
+ build = isl_ast_build_from_context(set);
+ build = isl_ast_build_set_options(build, options);
+ build = isl_ast_build_set_at_each_domain(build,
+ &count_domains, &n_domain);
+ tree = isl_ast_build_ast_from_schedule(build, schedule);
+ isl_ast_build_free(build);
+ if (!tree)
+ return -1;
+
+ isl_ast_node_free(tree);
+
+ if (n_domain != 3)
+ isl_die(ctx, isl_error_unknown,
+ "unexpected number of for nodes", return -1);
+
+ return 0;
+}
+
+/* Check that if the ast_build_exploit_nested_bounds options is set,
+ * we do not get an outer if node in the generated AST,
+ * while we do get such an outer if node if the options is not set.
+ */
+static int test_ast_gen4(isl_ctx *ctx)
+{
+ const char *str;
+ isl_set *set;
+ isl_union_map *schedule;
+ isl_ast_build *build;
+ isl_ast_node *tree;
+ enum isl_ast_node_type type;
+ int enb;
+
+ enb = isl_options_get_ast_build_exploit_nested_bounds(ctx);
+ str = "[N,M] -> { A[i,j] -> [i,j] : 0 <= i <= N and 0 <= j <= M }";
+
+ isl_options_set_ast_build_exploit_nested_bounds(ctx, 1);
+
+ schedule = isl_union_map_read_from_str(ctx, str);
+ set = isl_set_universe(isl_space_params_alloc(ctx, 0));
+ build = isl_ast_build_from_context(set);
+ tree = isl_ast_build_ast_from_schedule(build, schedule);
+ isl_ast_build_free(build);
+ if (!tree)
+ return -1;
+
+ type = isl_ast_node_get_type(tree);
+ isl_ast_node_free(tree);
+
+ if (type == isl_ast_node_if)
+ isl_die(ctx, isl_error_unknown,
+ "not expecting if node", return -1);
+
+ isl_options_set_ast_build_exploit_nested_bounds(ctx, 0);
+
+ schedule = isl_union_map_read_from_str(ctx, str);
+ set = isl_set_universe(isl_space_params_alloc(ctx, 0));
+ build = isl_ast_build_from_context(set);
+ tree = isl_ast_build_ast_from_schedule(build, schedule);
+ isl_ast_build_free(build);
+ if (!tree)
+ return -1;
+
+ type = isl_ast_node_get_type(tree);
+ isl_ast_node_free(tree);
+
+ if (type != isl_ast_node_if)
+ isl_die(ctx, isl_error_unknown,
+ "expecting if node", return -1);
+
+ isl_options_set_ast_build_exploit_nested_bounds(ctx, enb);
+
+ return 0;
+}
+
+/* This function is called for each leaf in the AST generated
+ * from test_ast_gen5.
+ *
+ * We finalize the AST generation by extending the outer schedule
+ * with a zero-dimensional schedule. If this results in any for loops,
+ * then this means that we did not pass along enough information
+ * about the outer schedule to the inner AST generation.
+ */
+static __isl_give isl_ast_node *create_leaf(__isl_take isl_ast_build *build,
+ void *user)
+{
+ isl_union_map *schedule, *extra;
+ isl_ast_node *tree;
+
+ schedule = isl_ast_build_get_schedule(build);
+ extra = isl_union_map_copy(schedule);
+ extra = isl_union_map_from_domain(isl_union_map_domain(extra));
+ schedule = isl_union_map_range_product(schedule, extra);
+ tree = isl_ast_build_ast_from_schedule(build, schedule);
+ isl_ast_build_free(build);
+
+ if (!tree)
+ return NULL;
+
+ if (isl_ast_node_get_type(tree) == isl_ast_node_for)
+ isl_die(isl_ast_node_get_ctx(tree), isl_error_unknown,
+ "code should not contain any for loop",
+ return isl_ast_node_free(tree));
+
+ return tree;
+}
+
+/* Check that we do not lose any information when going back and
+ * forth between internal and external schedule.
+ *
+ * In particular, we create an AST where we unroll the only
+ * non-constant dimension in the schedule. We therefore do
+ * not expect any for loops in the AST. However, older versions
+ * of isl would not pass along enough information about the outer
+ * schedule when performing an inner code generation from a create_leaf
+ * callback, resulting in the inner code generation producing a for loop.
+ */
+static int test_ast_gen5(isl_ctx *ctx)
+{
+ const char *str;
+ isl_set *set;
+ isl_union_map *schedule, *options;
+ isl_ast_build *build;
+ isl_ast_node *tree;
+
+ str = "{ A[] -> [1, 1, 2]; B[i] -> [1, i, 0] : i >= 1 and i <= 2 }";
+ schedule = isl_union_map_read_from_str(ctx, str);
+
+ str = "{ [a, b, c] -> unroll[1] : exists (e0 = [(a)/4]: "
+ "4e0 >= -1 + a - b and 4e0 <= -2 + a + b) }";
+ options = isl_union_map_read_from_str(ctx, str);
+
+ set = isl_set_universe(isl_space_params_alloc(ctx, 0));
+ build = isl_ast_build_from_context(set);
+ build = isl_ast_build_set_options(build, options);
+ build = isl_ast_build_set_create_leaf(build, &create_leaf, NULL);
+ tree = isl_ast_build_ast_from_schedule(build, schedule);
+ isl_ast_build_free(build);
+ isl_ast_node_free(tree);
+ if (!tree)
+ return -1;
+
+ return 0;
+}
+
+static int test_ast_gen(isl_ctx *ctx)
+{
+ if (test_ast_gen1(ctx) < 0)
+ return -1;
+ if (test_ast_gen2(ctx) < 0)
+ return -1;
+ if (test_ast_gen3(ctx) < 0)
+ return -1;
+ if (test_ast_gen4(ctx) < 0)
+ return -1;
+ if (test_ast_gen5(ctx) < 0)
+ return -1;
+ return 0;
+}
+
+/* Check if dropping output dimensions from an isl_pw_multi_aff
+ * works properly.
+ */
+static int test_pw_multi_aff(isl_ctx *ctx)
+{
+ const char *str;
+ isl_pw_multi_aff *pma1, *pma2;
+ int equal;
+
+ str = "{ [i,j] -> [i+j, 4i-j] }";
+ pma1 = isl_pw_multi_aff_read_from_str(ctx, str);
+ str = "{ [i,j] -> [4i-j] }";
+ pma2 = isl_pw_multi_aff_read_from_str(ctx, str);
+
+ pma1 = isl_pw_multi_aff_drop_dims(pma1, isl_dim_out, 0, 1);
+
+ equal = isl_pw_multi_aff_plain_is_equal(pma1, pma2);
+
+ isl_pw_multi_aff_free(pma1);
+ isl_pw_multi_aff_free(pma2);
+ if (equal < 0)
+ return -1;
+ if (!equal)
+ isl_die(ctx, isl_error_unknown,
+ "expressions not equal", return -1);
+
+ return 0;
+}
+
+/* This is a regression test for a bug where isl_basic_map_simplify
+ * would end up in an infinite loop. In particular, we construct
+ * an empty basic set that is not obviously empty.
+ * isl_basic_set_is_empty marks the basic set as empty.
+ * After projecting out i3, the variable can be dropped completely,
+ * but isl_basic_map_simplify refrains from doing so if the basic set
+ * is empty and would end up in an infinite loop if it didn't test
+ * explicitly for empty basic maps in the outer loop.
+ */
+static int test_simplify(isl_ctx *ctx)
+{
+ const char *str;
+ isl_basic_set *bset;
+ int empty;
+
+ str = "{ [i0, i1, i2, i3] : i0 >= -2 and 6i2 <= 4 + i0 + 5i1 and "
+ "i2 <= 22 and 75i2 <= 111 + 13i0 + 60i1 and "
+ "25i2 >= 38 + 6i0 + 20i1 and i0 <= -1 and i2 >= 20 and "
+ "i3 >= i2 }";
+ bset = isl_basic_set_read_from_str(ctx, str);
+ empty = isl_basic_set_is_empty(bset);
+ bset = isl_basic_set_project_out(bset, isl_dim_set, 3, 1);
+ isl_basic_set_free(bset);
+ if (!bset)
+ return -1;
+ if (!empty)
+ isl_die(ctx, isl_error_unknown,
+ "basic set should be empty", return -1);
+
+ return 0;
+}
+
+/* This is a regression test for a bug where isl_tab_basic_map_partial_lexopt
+ * with gbr context would fail to disable the use of the shifted tableau
+ * when transferring equalities for the input to the context, resulting
+ * in invalid sample values.
+ */
+static int test_partial_lexmin(isl_ctx *ctx)
+{
+ const char *str;
+ isl_basic_set *bset;
+ isl_basic_map *bmap;
+ isl_map *map;
+
+ str = "{ [1, b, c, 1 - c] -> [e] : 2e <= -c and 2e >= -3 + c }";
+ bmap = isl_basic_map_read_from_str(ctx, str);
+ str = "{ [a, b, c, d] : c <= 1 and 2d >= 6 - 4b - c }";
+ bset = isl_basic_set_read_from_str(ctx, str);
+ map = isl_basic_map_partial_lexmin(bmap, bset, NULL);
+ isl_map_free(map);
+
+ if (!map)
+ return -1;
+
+ return 0;
+}
+
+/* Check that the variable compression performed on the existentially
+ * quantified variables inside isl_basic_set_compute_divs is not confused
+ * by the implicit equalities among the parameters.
+ */
+static int test_compute_divs(isl_ctx *ctx)
+{
+ const char *str;
+ isl_basic_set *bset;
+ isl_set *set;
+
+ str = "[a, b, c, d, e] -> { [] : exists (e0: 2d = b and a <= 124 and "
+ "b <= 2046 and b >= 0 and b <= 60 + 64a and 2e >= b + 2c and "
+ "2e >= b and 2e <= 1 + b and 2e <= 1 + b + 2c and "
+ "32768e0 >= -124 + a and 2097152e0 <= 60 + 64a - b) }";
+ bset = isl_basic_set_read_from_str(ctx, str);
+ set = isl_basic_set_compute_divs(bset);
+ isl_set_free(set);
+ if (!set)
+ return -1;
+
+ return 0;
+}
+
struct {
const char *name;
int (*fn)(isl_ctx *ctx);
} tests [] = {
+ { "val", &test_val },
+ { "compute divs", &test_compute_divs },
+ { "partial lexmin", &test_partial_lexmin },
+ { "simplify", &test_simplify },
+ { "curry", &test_curry },
+ { "piecewise multi affine expressions", &test_pw_multi_aff },
+ { "conversion", &test_conversion },
+ { "list", &test_list },
+ { "align parameters", &test_align_parameters },
+ { "preimage", &test_preimage },
+ { "pullback", &test_pullback },
+ { "AST", &test_ast },
+ { "AST generation", &test_ast_gen },
+ { "eliminate", &test_eliminate },
+ { "residue class", &test_residue_class },
+ { "div", &test_div },
{ "slice", &test_slice },
{ "fixed power", &test_fixed_power },
{ "sample", &test_sample },
{ "affine hull", &test_affine_hull },
{ "coalesce", &test_coalesce },
{ "factorize", &test_factorize },
+ { "subset", &test_subset },
+ { "subtract", &test_subtract },
+ { "lexmin", &test_lexmin },
+ { "gist", &test_gist },
+ { "piecewise quasi-polynomials", &test_pwqp },
};
int main()
if (tests[i].fn(ctx) < 0)
goto error;
}
- test_subset(ctx);
test_lift(ctx);
test_bound(ctx);
test_union(ctx);
test_split_periods(ctx);
- test_pwqp(ctx);
test_lex(ctx);
test_bijective(ctx);
test_dep(ctx);
test_bounded(ctx);
test_construction(ctx);
test_dim(ctx);
- test_div(ctx);
test_application(ctx);
test_convex_hull(ctx);
- test_gist(ctx);
test_closure(ctx);
- test_lexmin(ctx);
isl_ctx_free(ctx);
return 0;
error:
projects / platform / upstream / isl.git / blobdiff