#include <stdlib.h>
#include <functional>
+#include <ios>
#include <iostream>
#include <sstream>
#include <string>
@@ -64,6 +65,13 @@ static ternary_fn<A1, A2, R, T> const arg(const ternary_fn<A1, A2, R, T> &fn)
return fn;
}
+/* A description of the input and the output of a unary property.
+ */
+struct unary_prop {
+ const char *arg;
+ bool res;
+};
+
/* A description of the input and the output of a unary operation.
*/
struct unary {
@@ -112,6 +120,30 @@ static bool is_equal(const T &a, const T &b)
#define THROW_INVALID(msg) \
isl::exception::throw_error(isl_error_invalid, msg, __FILE__, __LINE__)
+/* Run a sequence of tests of function "fn" with stringification "name" and
+ * with input and output described by "tests",
+ * throwing an exception when an unexpected result is produced.
+ */
+template <typename T>
+static void test(isl::ctx ctx, bool fn(const T &), const std::string &name,
+ const std::vector<unary_prop> &tests)
+{
+ for (const auto &test : tests) {
+ T obj(ctx, test.arg);
+ bool res = fn(obj);
+ std::ostringstream ss;
+
+ if (test.res == res)
+ continue;
+
+ ss << name << "(" << test.arg << ") = "
+ << std::boolalpha << res << "\n"
+ << "expecting: "
+ << test.res;
+ THROW_INVALID(ss.str().c_str());
+ }
+}
+
/* Run a sequence of tests of method "fn" with stringification "name" and
* with input and output described by "test",
* throwing an exception when an unexpected result is produced.
@@ -163,12 +195,12 @@ static void test(isl::ctx ctx, R (T::*fn)(A1) const, const std::string &name,
}
}
-/* Run a sequence of tests of method "fn" with stringification "name" and
- * with inputs and output described by "test",
+/* Run a sequence of tests of function "fn" with stringification "name" and
+ * with inputs and output described by "tests",
* throwing an exception when an unexpected result is produced.
*/
-template <typename R, typename T, typename A1, typename A2>
-static void test(isl::ctx ctx, R (T::*fn)(A1, A2) const,
+template <typename R, typename T, typename A1, typename A2, typename F>
+static void test_ternary(isl::ctx ctx, const F &fn,
const std::string &name, const std::vector<ternary> &tests)
{
for (const auto &test : tests) {
@@ -176,7 +208,7 @@ static void test(isl::ctx ctx, R (T::*fn)(A1, A2) const,
A1 arg1(ctx, test.arg2);
A2 arg2(ctx, test.arg3);
R expected(ctx, test.res);
- const auto &res = (obj.*fn)(arg1, arg2);
+ const auto &res = fn(obj, arg1, arg2);
std::ostringstream ss;
if (is_equal(expected, res))
@@ -191,6 +223,36 @@ static void test(isl::ctx ctx, R (T::*fn)(A1, A2) const,
}
}
+/* Run a sequence of tests of function "fn" with stringification "name" and
+ * with inputs and output described by "tests",
+ * throwing an exception when an unexpected result is produced.
+ *
+ * Simply call test_ternary.
+ */
+template <typename R, typename T, typename A1, typename A2>
+static void test(isl::ctx ctx, R fn(const T&, const A1&, const A2&),
+ const std::string &name, const std::vector<ternary> &tests)
+{
+ test_ternary<R, T, A1, A2>(ctx, fn, name, tests);
+}
+
+/* Run a sequence of tests of method "fn" with stringification "name" and
+ * with inputs and output described by "tests",
+ * throwing an exception when an unexpected result is produced.
+ *
+ * Wrap the method pointer into a function taking an object reference and
+ * call test_ternary.
+ */
+template <typename R, typename T, typename A1, typename A2>
+static void test(isl::ctx ctx, R (T::*fn)(A1, A2) const,
+ const std::string &name, const std::vector<ternary> &tests)
+{
+ const auto &wrap = [&] (const T &o, const A1 &arg1, const A2 &arg2) {
+ return (o.*fn)(arg1, arg2);
+ };
+ test_ternary<R, T, A1, A2>(ctx, wrap, name, tests);
+}
+
/* A helper macro that calls test with as implicit initial argument "ctx" and
* as extra argument a stringification of "FN".
*/
@@ -216,14 +278,68 @@ static void test_space(isl::ctx ctx)
});
}
+/* Is "fn" an expression defined over a single cell?
+ */
+static bool has_single_cell(const isl::pw_multi_aff &fn)
+{
+ const auto &domain = fn.domain();
+ return fn.gist(domain).isa_multi_aff();
+}
+
+/* Does the conversion of "obj" to an isl_pw_multi_aff
+ * result in an expression defined over a single cell?
+ */
+template <typename T>
+static bool has_single_cell_pma(const T &obj)
+{
+ return has_single_cell(obj.as_pw_multi_aff());
+}
+
/* Perform some basic conversion tests.
+ *
+ * In particular, check that a map with an output dimension
+ * that is equal to some integer division over a domain involving
+ * a local variable without a known integer division expression or
+ * to some linear combination of integer divisions
+ * can be converted to a function expressed in the same way.
+ *
+ * Also, check that a nested modulo expression can be extracted
+ * from a set or binary relation representation, or at least
+ * that a conversion to a function does not result in multiple cells.
*/
static void test_conversion(isl::ctx ctx)
{
+ C(&isl::set::as_pw_multi_aff, {
+ { "[N=0:] -> { [] }",
+ "[N=0:] -> { [] }" },
+ });
+
C(&isl::multi_pw_aff::as_set, {
{ "[n] -> { [] : n >= 0 } ",
"[n] -> { [] : n >= 0 } " },
});
+
+ C(&isl::map::as_pw_multi_aff, {
+ { "{ [a] -> [a//2] : "
+ "exists (e0: 8*floor((-a + e0)/8) <= -8 - a + 8e0) }",
+ "{ [a] -> [a//2] : "
+ "exists (e0: 8*floor((-a + e0)/8) <= -8 - a + 8e0) }" },
+ { "{ [a, b] -> [(2*floor((a)/8) + floor((b)/6))] }",
+ "{ [a, b] -> [(2*floor((a)/8) + floor((b)/6))] }" },
+ });
+
+ C(&has_single_cell_pma<isl::set>, {
+ { "[s=0:23] -> { A[(s//4)%3, s%4, s//12] }", true },
+ });
+
+ C(&has_single_cell_pma<isl::map>, {
+ { "{ [a] -> [a//2] : "
+ "exists (e0: 8*floor((-a + e0)/8) <= -8 - a + 8e0) }",
+ true },
+ { "{ [s=0:23, t] -> B[((s+1+2t)//4)%3, 2+(s+1+2t)%4, (s+1+2t)//12] }",
+ true },
+ { "{ [a=0:31] -> [b=0:3, c] : 4c = 28 - a + b }", true },
+ });
}
/* Perform some basic preimage tests.
@@ -256,6 +372,12 @@ static void test_preimage(isl::ctx ctx)
"{ A[i,j] : j = [(i)/6] and exists a : i = 3 a }" },
});
+ C(arg<isl::pw_multi_aff>(&isl::set::preimage), {
+ { "{ B[i,j] : 0 <= i < 10 and 0 <= j < 100 }",
+ "{ A[j,i] -> B[i,j] : false }",
+ "{ A[j,i] : false }" },
+ });
+
C(arg<isl::multi_aff>(&isl::union_map::preimage_domain), {
{ "{ B[i,j] -> C[2i + 3j] : 0 <= i < 10 and 0 <= j < 100 }",
"{ A[j,i] -> B[i,j] }",
@@ -313,6 +435,11 @@ static void test_fixed_power(isl::ctx ctx)
*/
static void test_intersect(isl::ctx ctx)
{
+ C(arg<isl::basic_set>(&isl::basic_map::intersect_params), {
+ { "[n] -> { A[x] -> B[y] }", "[n] -> { : n >= 0 }",
+ "[n] -> { A[x] -> B[y] : n >= 0 }" },
+ });
+
C(&isl::union_map::intersect_domain_wrapped_domain, {
{ "{ [A[x] -> B[y]] -> C[z]; [D[x] -> A[y]] -> E[z] }",
"{ A[0] }",
@@ -320,6 +447,9 @@ static void test_intersect(isl::ctx ctx)
{ "{ C[z] -> [A[x] -> B[y]]; E[z] -> [D[x] -> A[y]] }",
"{ A[0] }",
"{ }" },
+ { "{ T[A[x] -> B[y]] -> C[z]; [D[x] -> A[y]] -> E[z] }",
+ "{ A[0] }",
+ "{ T[A[0] -> B[y]] -> C[z] }" },
});
C(&isl::union_map::intersect_range_wrapped_domain, {
@@ -329,13 +459,213 @@ static void test_intersect(isl::ctx ctx)
{ "{ C[z] -> [A[x] -> B[y]]; E[z] -> [D[x] -> A[y]] }",
"{ A[0] }",
"{ C[z] -> [A[0] -> B[y]] }" },
+ { "{ C[z] -> T[A[x] -> B[y]]; E[z] -> [D[x] -> A[y]] }",
+ "{ A[0] }",
+ "{ C[z] -> T[A[0] -> B[y]] }" },
+ });
+}
+
+/* Is the expression for the lexicographic minimum of "obj"
+ * defined over a single cell?
+ */
+template <typename T>
+static bool lexmin_has_single_cell(const T &obj)
+{
+ return has_single_cell(obj.lexmin_pw_multi_aff());
+}
+
+/* Perform some basic lexicographic minimization tests.
+ */
+static void test_lexmin(isl::ctx ctx)
+{
+ C(&lexmin_has_single_cell<isl::map>, {
+ /* The following two inputs represent the same binary relation,
+ * the second with extra redundant constraints.
+ * The lexicographic minimum of both should consist of a single cell.
+ */
+ { "{ [a=0:11] -> [b] : -1 + b <= 2*floor((a)/6) <= b }", true },
+ { "{ [a=0:11] -> [b=0:3] : -1 + b <= 2*floor((a)/6) <= b }", true },
+
+ { "{ [a = 0:2, b = 0:1] -> [c = 0:9, d = (-a + b) mod 3] : "
+ "10a + 5b - 3c <= 5d <= 12 + 10a + 5b - 3c }", true },
+ { "{ [a=0:71] -> [(a//3)%8] }", true },
+ { "{ [a=0:71] -> [b=0:7] : (a - 3 * b + 21) % 24 >= 21 }", true },
+ { "{ [a=0:71] -> [b=0:7] : (a - 3 * b + 21) % 24 >= 20 }", false },
+ { "{ [a=0:71] -> [b=0:7] : (a - 3 * b + 21) % 24 >= 22 }", true },
+ { "{ [a=0:71] -> [b=-7:0] : (a + 3 * b + 21) % 24 >= 21 }", true },
+ { "{ [a=0:71] -> [b=-7:0] : (a + 3 * b + 21) % 24 >= 20 }", false },
+ { "{ [a=0:71] -> [b=-7:0] : (a + 3 * b + 21) % 24 >= 22 }", true },
+ });
+
+ C(&isl::map::lexmin_pw_multi_aff, {
+ /* The following two inputs represent the same binary relation,
+ * the second with some redundant constraints removed.
+ * The lexicographic minimum of both should consist of a single cell.
+ */
+ { "{ [a=0:3] -> [b=a//2] : 0 <= b <= 1 }",
+ "{ [a=0:3] -> [(floor((a)/2))] }" },
+ { "{ [a] -> [b=a//2] : 0 <= b <= 1 }",
+ "{ [a=0:3] -> [(floor((a)/2))] }" },
+
+ { "{ [a = 0:2, b = 0:1] -> [c = 0:9, d = (-a + b) mod 3] : "
+ "10a + 5b - 3c <= 5d <= 12 + 10a + 5b - 3c }",
+ "{ [a = 0:2, b = 0:1] -> [5*(2a + b)//3, (2a + b) mod 3] }" },
+ { "{ [a=0:71] -> [(a//3)%8] }",
+ "{ [a=0:71] -> [(a//3)%8] }" },
+ { "{ [a=0:71] -> [b=0:7] : (a - 3 * b + 21) % 24 >= 21 }",
+ "{ [a=0:71] -> [(a//3)%8] }" },
+ { "{ [a=0:71] -> [b=0:7] : (a - 3 * b + 21) % 24 >= 22 }",
+ "{ [a=0:71] -> [(a//3)%8] : a % 3 > 0 }" },
+ { "{ [a=0:71] -> [b=-7:0] : (a + 3 * b + 21) % 24 >= 21 }",
+ "{ [a=0:71] -> [(-7 + (-1 - floor((a)/3)) mod 8)] }" },
+ });
+
+ C(&isl::set::lexmin_pw_multi_aff, {
+ { "[a] -> { [b=a//2] : 0 <= b <= 1 }",
+ "[a=0:3] -> { [(floor((a)/2))] }" },
+ { "[a=0:71] -> { [(a//3)%8] }",
+ "[a=0:71] -> { [(a//3)%8] }" },
+ { "[a=0:71] -> { [b=0:7] : (a - 3 * b + 21) % 24 >= 21 }",
+ "[a=0:71] -> { [(a//3)%8] }" },
});
}
+/* Compute the gist of "obj" with respect to "context",
+ * with "copy" an independent copy of "obj",
+ * but also check that applying the gist operation does
+ * not modify the input set (an earlier version of isl would do that) and
+ * that the test case is consistent, i.e., that the gist has the same
+ * intersection with the context as the input set.
+ */
+template <typename T>
+T gist(const T &obj, const T ©, const T &context)
+{
+ const auto &res = obj.gist(context);
+ if (!is_equal(obj, copy)) {
+ std::ostringstream ss;
+ ss << "gist changed " << copy << " into " << obj;
+ THROW_INVALID(ss.str().c_str());
+ }
+ if (!is_equal(obj.intersect(context), res.intersect(context))) {
+ std::ostringstream ss;
+ ss << "inconsistent "
+ << obj << " % " << context << " = " << res;
+ THROW_INVALID(ss.str().c_str());
+ }
+ return res;
+}
+
+/* A helper macro for producing two instances of "x".
+ */
+#define TWO(x) (x), (x)
+
/* Perform some basic gist tests.
+ *
+ * The gist() function is given two identical inputs so that
+ * it can check that the input to the call to the gist method
+ * is not modified.
*/
static void test_gist(isl::ctx ctx)
{
+ C(&gist<isl::basic_set> , {
+ { TWO("{ [i=100:] }"),
+ "{ [i] : exists a, b: 2b > 2i - 5a > 8b -3 i and 3b > 2a }",
+ "{ [i=100:] }" },
+ { TWO("{ [i=0:] }"),
+ "{ [i] : exists a, b: 2b > 2i - 5a > 8b -3 i and 3b > 2a }",
+ "{ [i] }" },
+ { TWO("{ [i] : exists (e0, e1: 3e1 >= 1 + 2e0 and "
+ "8e1 <= -1 + 5i - 5e0 and 2e1 >= 1 + 2i - 5e0) }"),
+ "{ [i] : i >= 0 }",
+ "{ [i] : exists (e0, e1: 3e1 >= 1 + 2e0 and "
+ "8e1 <= -1 + 5i - 5e0 and 2e1 >= 1 + 2i - 5e0) }" },
+ { TWO("{ [i=0:10] : exists a, b: 2b > 2i - 5a > 8b -3 i and 3b > 2a }"),
+ "{ [i=0:10] }",
+ "{ [i] : exists a, b: 2b > 2i - 5a > 8b -3 i and 3b > 2a }" },
+ });
+
+ C(&gist<isl::set> , {
+ { TWO("{ [1, -1, 3] }"),
+ "{ [1, b, 2 - b] : -1 <= b <= 2 }",
+ "{ [a, -1, c] }" },
+ { TWO("{ [a, b, c] : a <= 15 and a >= 1 }"),
+ "{ [a, b, c] : exists (e0 = floor((-1 + a)/16): a >= 1 and "
+ "c <= 30 and 32e0 >= -62 + 2a + 2b - c and b >= 0) }",
+ "{ [a, b, c] : a <= 15 }" },
+ { TWO("{ : }"), "{ : 1 = 0 }", "{ : }" },
+ { TWO("{ : 1 = 0 }"), "{ : 1 = 0 }", "{ : }" },
+ { TWO("[M] -> { [x] : exists (e0 = floor((-2 + x)/3): 3e0 = -2 + x) }"),
+ "[M] -> { [3M] }" , "[M] -> { [x] : 1 = 0 }" },
+ { TWO("{ [m, n, a, b] : a <= 2147 + n }"),
+ "{ [m, n, a, b] : (m >= 1 and n >= 1 and a <= 2148 - m and "
+ "b <= 2148 - n and b >= 0 and b >= 2149 - n - a) or "
+ "(n >= 1 and a >= 0 and b <= 2148 - n - a and "
+ "b >= 0) }",
+ "{ [m, n, ku, kl] }" },
+ { TWO("{ [a, a, b] : a >= 10 }"),
+ "{ [a, b, c] : c >= a and c <= b and c >= 2 }",
+ "{ [a, a, b] : a >= 10 }" },
+ { TWO("{ [i, j] : i >= 0 and i + j >= 0 }"), "{ [i, j] : i <= 0 }",
+ "{ [0, j] : j >= 0 }" },
+ /* Check that no constraints on i6 are introduced in the gist */
+ { TWO("[t1] -> { [i4, i6] : exists (e0 = floor((1530 - 4t1 - 5i4)/20): "
+ "20e0 <= 1530 - 4t1 - 5i4 and 20e0 >= 1511 - 4t1 - 5i4 and "
+ "5e0 <= 381 - t1 and i4 <= 1) }"),
+ "[t1] -> { [i4, i6] : exists (e0 = floor((-t1 + i6)/5): "
+ "5e0 = -t1 + i6 and i6 <= 6 and i6 >= 3) }",
+ "[t1] -> { [i4, i6] : exists (e0 = floor((1530 - 4t1 - 5i4)/20): "
+ "i4 <= 1 and 5e0 <= 381 - t1 and 20e0 <= 1530 - 4t1 - 5i4 and "
+ "20e0 >= 1511 - 4t1 - 5i4) }" },
+ /* Check that no constraints on i6 are introduced in the gist */
+ { TWO("[t1, t2] -> { [i4, i5, i6] : exists (e0 = floor((1 + i4)/2), "
+ "e1 = floor((1530 - 4t1 - 5i4)/20), "
+ "e2 = floor((-4t1 - 5i4 + 10*floor((1 + i4)/2))/20), "
+ "e3 = floor((-1 + i4)/2): t2 = 0 and 2e3 = -1 + i4 and "
+ "20e2 >= -19 - 4t1 - 5i4 + 10e0 and 5e2 <= 1 - t1 and "
+ "2e0 <= 1 + i4 and 2e0 >= i4 and "
+ "20e1 <= 1530 - 4t1 - 5i4 and "
+ "20e1 >= 1511 - 4t1 - 5i4 and i4 <= 1 and "
+ "5e1 <= 381 - t1 and 20e2 <= -4t1 - 5i4 + 10e0) }"),
+ "[t1, t2] -> { [i4, i5, i6] : exists (e0 = floor((-17 + i4)/2), "
+ "e1 = floor((-t1 + i6)/5): 5e1 = -t1 + i6 and "
+ "2e0 <= -17 + i4 and 2e0 >= -18 + i4 and "
+ "10e0 <= -91 + 5i4 + 4i6 and "
+ "10e0 >= -105 + 5i4 + 4i6) }",
+ "[t1, t2] -> { [i4, i5, i6] : exists (e0 = floor((381 - t1)/5), "
+ "e1 = floor((-1 + i4)/2): t2 = 0 and 2e1 = -1 + i4 and "
+ "i4 <= 1 and 5e0 <= 381 - t1 and 20e0 >= 1511 - 4t1 - 5i4) }" },
+ { TWO("{ [0, 0, q, p] : -5 <= q <= 5 and p >= 0 }"),
+ "{ [a, b, q, p] : b >= 1 + a }",
+ "{ [a, b, q, p] : false }" },
+ { TWO("[n] -> { [x] : x = n && x mod 32 = 0 }"),
+ "[n] -> { [x] : x mod 32 = 0 }",
+ "[n] -> { [x = n] }" },
+ { TWO("{ [x] : x mod 6 = 0 }"), "{ [x] : x mod 3 = 0 }",
+ "{ [x] : x mod 2 = 0 }" },
+ { TWO("{ [x] : x mod 3200 = 0 }"), "{ [x] : x mod 10000 = 0 }",
+ "{ [x] : x mod 128 = 0 }" },
+ { TWO("{ [x] : x mod 3200 = 0 }"), "{ [x] : x mod 10 = 0 }",
+ "{ [x] : x mod 3200 = 0 }" },
+ { TWO("{ [a, b, c] : a mod 2 = 0 and a = c }"),
+ "{ [a, b, c] : b mod 2 = 0 and b = c }",
+ "{ [a, b, c = a] }" },
+ { TWO("{ [a, b, c] : a mod 6 = 0 and a = c }"),
+ "{ [a, b, c] : b mod 2 = 0 and b = c }",
+ "{ [a, b, c = a] : a mod 3 = 0 }" },
+ { TWO("{ [x] : 0 <= x <= 4 or 6 <= x <= 9 }"),
+ "{ [x] : 1 <= x <= 3 or 7 <= x <= 8 }",
+ "{ [x] }" },
+ { TWO("{ [x,y] : x < 0 and 0 <= y <= 4 or "
+ "x >= -2 and -x <= y <= 10 + x }"),
+ "{ [x,y] : 1 <= y <= 3 }",
+ "{ [x,y] }" },
+ });
+
+ C(arg<isl::set>(&isl::pw_aff::gist), {
+ { "{ [x] -> [x] : x != 0 }", "{ [x] : x < -1 or x > 1 }",
+ "{ [x] -> [x] }" },
+ });
+
C(&isl::pw_aff::gist_params, {
{ "[N] -> { D[x] -> [x] : N >= 0; D[x] -> [0] : N < 0 }",
"[N] -> { : N >= 0 }",
@@ -454,6 +784,86 @@ static void test_project(isl::ctx ctx)
});
}
+/* Perform some basic reverse tests.
+ */
+static void test_reverse(isl::ctx ctx)
+{
+ C(&isl::aff::domain_reverse, {
+ { "{ T[A[] -> B[*]] -> [0] }",
+ "{ [B[*] -> A[]] -> [0] }" },
+ { "{ T[A[] -> A[]] -> [0] }",
+ "{ T[A[] -> A[]] -> [0] }" },
+ { "{ [A[x] -> B[y]] -> [5*(x // 2) + 7*(y // 3)] }",
+ "{ [B[y] -> A[x]] -> [5*(x // 2) + 7*(y // 3)] }" },
+ });
+
+ C(&isl::multi_aff::domain_reverse, {
+ { "{ [A[x] -> B[y]] -> [5*(x // 2) + 7*(y // 3)] }",
+ "{ [B[y] -> A[x]] -> [5*(x // 2) + 7*(y // 3)] }" },
+ { "{ [A[x] -> B[y]] -> T[5*(x // 2) + 7*(y // 3), 0] }",
+ "{ [B[y] -> A[x]] -> T[5*(x // 2) + 7*(y // 3), 0] }" },
+ });
+
+ C(&isl::set::wrapped_reverse, {
+ { "{ T[A[] -> B[*]] }",
+ "{ [B[*] -> A[]] }" },
+ { "{ T[A[] -> A[]] }",
+ "{ T[A[] -> A[]] }" },
+ { "{ [A[x] -> B[2x]] }",
+ "{ [B[y] -> A[x]] : y = 2x }" },
+ });
+
+ C(&isl::pw_aff::domain_reverse, {
+ { "{ [A[x] -> B[y]] -> [5*(x // 2) + 7*(y // 3)] }",
+ "{ [B[y] -> A[x]] -> [5*(x // 2) + 7*(y // 3)] }" },
+ { "{ [A[x] -> B[y]] -> [5*(x // 2) + 7*(y // 3)] : x > y }",
+ "{ [B[y] -> A[x]] -> [5*(x // 2) + 7*(y // 3)] : x > y }" },
+ { "{ [A[i] -> B[i + 1]] -> [i + 2] }",
+ "{ [B[i] -> A[i - 1]] -> [i + 1] }" },
+ });
+
+ C(&isl::pw_multi_aff::domain_reverse, {
+ { "{ [A[x] -> B[y]] -> T[5*(x // 2) + 7*(y // 3), 0] : x > y }",
+ "{ [B[y] -> A[x]] -> T[5*(x // 2) + 7*(y // 3), 0] : x > y }" },
+ { "{ [A[i] -> B[i + 1]] -> T[0, i + 2] }",
+ "{ [B[i] -> A[i - 1]] -> T[0, i + 1] }" },
+ });
+
+ C(&isl::multi_pw_aff::domain_reverse, {
+ { "{ [A[x] -> B[y]] -> T[5*(x // 2) + 7*(y // 3) : x > y, 0] }",
+ "{ [B[y] -> A[x]] -> T[5*(x // 2) + 7*(y // 3) : x > y, 0] }" },
+ });
+
+ C(&isl::map::domain_reverse, {
+ { "{ [A[] -> B[]] -> [C[] -> D[]] }",
+ "{ [B[] -> A[]] -> [C[] -> D[]] }" },
+ { "{ N[B[] -> C[]] -> A[] }",
+ "{ [C[] -> B[]] -> A[] }" },
+ { "{ N[B[x] -> B[y]] -> A[] }",
+ "{ N[B[*] -> B[*]] -> A[] }" },
+ });
+
+ C(&isl::union_map::domain_reverse, {
+ { "{ [A[] -> B[]] -> [C[] -> D[]] }",
+ "{ [B[] -> A[]] -> [C[] -> D[]] }" },
+ { "{ A[] -> [B[] -> C[]]; A[] -> B[]; A[0] -> N[B[1] -> B[2]] }",
+ "{ }" },
+ { "{ N[B[] -> C[]] -> A[] }",
+ "{ [C[] -> B[]] -> A[] }" },
+ { "{ N[B[x] -> B[y]] -> A[] }",
+ "{ N[B[*] -> B[*]] -> A[] }" },
+ });
+
+ C(&isl::union_map::range_reverse, {
+ { "{ A[] -> [B[] -> C[]]; A[] -> B[]; A[0] -> N[B[1] -> B[2]] }",
+ "{ A[] -> [C[] -> B[]]; A[0] -> N[B[2] -> B[1]] }" },
+ { "{ A[] -> N[B[] -> C[]] }",
+ "{ A[] -> [C[] -> B[]] }" },
+ { "{ A[] -> N[B[x] -> B[y]] }",
+ "{ A[] -> N[B[*] -> B[*]] }" },
+ });
+}
+
/* Perform some basic scaling tests.
*/
static void test_scale(isl::ctx ctx)
@@ -504,8 +914,10 @@ static std::vector<std::pair<const char *, void (*)(isl::ctx)>> tests =
{ "preimage", &test_preimage },
{ "fixed power", &test_fixed_power },
{ "intersect", &test_intersect },
+ { "lexmin", &test_lexmin },
{ "gist", &test_gist },
{ "project out parameters", &test_project },
+ { "reverse", &test_reverse },
{ "scale", &test_scale },
{ "id-to-id", &test_id_to_id },
};