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// -----------------------------------------------------------------------------------------------------
// Copyright (c) 2006-2020, Knut Reinert & Freie Universität Berlin
// Copyright (c) 2016-2020, Knut Reinert & MPI für molekulare Genetik
// This file may be used, modified and/or redistributed under the terms of the 3-clause BSD-License
// shipped with this file and also available at: https://github.com/seqan/seqan3/blob/master/LICENSE.md
// -----------------------------------------------------------------------------------------------------
#pragma once
#include <gtest/gtest.h>
#include <seqan3/std/iterator>
#include <seqan3/std/ranges>
#include <seqan3/core/platform.hpp>
template <typename T>
struct iterator_fixture : public ::testing::Test
{
/* Please provide the following members:
--------------------------------------------------------------------------------------------------------------------
using iterator_tag = ... // Defines the iterator functionality you want to test.
// One of:
// std::input_iterator_tag
// std::forward_iterator_tag
// std::bidirectional_iterator_tag
// std::random_access_iterator_tag
static constexpr bool const_iterable = true/false; // Also test const_iterability. (const begin/end required)
t1 test_range; // The range to test the iterators (begin/end required).
t2 expected_range; // Used to compare the iterator range with.
--------------------------------------------------------------------------------------------------------------------
Note: if the reference type of your iterator is not comparable via operator==() to the reference type of
`expected_range you can additionally specify a custom expect_eq function:
template <typename A, typename B>
static void expect_eq(A && begin_iterator_value, B && expected_range_value)
{
EXPECT_EQ(begin_iterator_value, expected_range_value);
}
*/
};
// Helper concept to check whether the test fixture has a member function expect_eq.
template <typename t>
SEQAN3_CONCEPT has_expect_equal_member_function = requires(t & a)
{
SEQAN3_RETURN_TYPE_CONSTRAINT(t::expect_eq(*std::ranges::begin(a.test_range),
*std::ranges::begin(a.expected_range)),
std::same_as, void);
};
// Delegates to the test fixture member function `expect_eq` if available and falls back to EXPECT_EQ otherwise.
template <typename T, typename A, typename B>
void expext_eq(A && a, B && b)
{
if constexpr (has_expect_equal_member_function<iterator_fixture<T>>)
iterator_fixture<std::remove_reference_t<T>>::expect_eq(a, b);
else
EXPECT_EQ(a, b);
}
TYPED_TEST_SUITE_P(iterator_fixture);
TYPED_TEST_P(iterator_fixture, concept_check)
{
using iterator_type = decltype(std::ranges::begin(this->test_range));
// Ensure that reference types are comparable if no equal_eq function was defined.
if constexpr (!has_expect_equal_member_function<iterator_fixture<TypeParam>>)
{
static_assert(std::equality_comparable_with<decltype(*std::ranges::begin(this->test_range)),
decltype(*std::ranges::begin(this->expected_range))>,
"The reference types of begin_iterator and expected_range must be equality comparable. "
"If they are not, you may specify a custom void expect_eq(i1, r2) function in the fixture.");
}
// input iterator must always be satisfied
static_assert(std::input_iterator<decltype(std::ranges::begin(this->expected_range))>,
"expected_range must have a begin member function and "
"the returned iterator must model std::input_iterator.");
EXPECT_TRUE(std::input_iterator<iterator_type>);
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::forward_iterator_tag>)
{
static_assert(std::forward_iterator<decltype(std::ranges::begin(this->expected_range))>,
"expected_range must have a begin member function and "
"the returned iterator must model std::forward_iterator.");
EXPECT_TRUE(std::forward_iterator<iterator_type>);
if constexpr (TestFixture::const_iterable)
{
EXPECT_TRUE(std::forward_iterator<decltype(std::ranges::cbegin(this->test_range))>);
}
}
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::bidirectional_iterator_tag>)
{
static_assert(std::bidirectional_iterator<decltype(std::ranges::begin(this->expected_range))>,
"expected_range must have a begin member function and "
"the returned iterator must model std::bidirectional_iterator.");
EXPECT_TRUE(std::bidirectional_iterator<iterator_type>);
if constexpr (TestFixture::const_iterable)
{
EXPECT_TRUE(std::bidirectional_iterator<decltype(std::ranges::cbegin(this->test_range))>);
}
}
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::random_access_iterator_tag>)
{
static_assert(std::random_access_iterator<decltype(std::ranges::begin(this->expected_range))>,
"expected_range must have a begin member function and "
"the returned iterator must model std::random_access_iterator.");
EXPECT_TRUE(std::random_access_iterator<iterator_type>);
if constexpr (TestFixture::const_iterable)
{
EXPECT_TRUE(std::random_access_iterator<decltype(std::ranges::cbegin(this->test_range))>);
}
}
if (!std::derived_from<typename TestFixture::iterator_tag, std::input_iterator_tag>)
{
FAIL() << "The iterator tag member type must be one of std::input_iterator_tag,"
<< "std::forward_iterator_tag, std::bidirectional_iterator_tag, or std::random_access_iterator_tag.";
}
}
TYPED_TEST_P(iterator_fixture, const_non_const_compatibility)
{
if constexpr (TestFixture::const_iterable)
{
using const_iterator_type = decltype(std::ranges::cbegin(this->test_range));
const_iterator_type it{std::ranges::begin(this->test_range)};
const_iterator_type it2{};
it2 = std::ranges::begin(this->test_range);
EXPECT_EQ(it, it2);
}
}
// ---------------------------------------------------------------------------------------------------------------------
// Input & Forward Iterator
// ---------------------------------------------------------------------------------------------------------------------
TYPED_TEST_P(iterator_fixture, dereference)
{
expext_eq<TypeParam>(*std::ranges::begin(this->test_range), *std::ranges::begin(this->expected_range));
if constexpr (TestFixture::const_iterable)
expext_eq<TypeParam>(*std::ranges::cbegin(this->test_range), *std::ranges::begin(this->expected_range));
}
TYPED_TEST_P(iterator_fixture, compare)
{
EXPECT_FALSE(std::ranges::begin(this->test_range) == std::ranges::end(this->test_range));
EXPECT_TRUE(std::ranges::begin(this->test_range) != std::ranges::end(this->test_range));
EXPECT_FALSE(std::ranges::end(this->test_range) == std::ranges::begin(this->test_range));
EXPECT_TRUE(std::ranges::end(this->test_range) != std::ranges::begin(this->test_range));
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::forward_iterator_tag>) // iterate over it again
{
EXPECT_TRUE(std::ranges::begin(this->test_range) == std::ranges::begin(this->test_range));
EXPECT_FALSE(std::ranges::begin(this->test_range) != std::ranges::begin(this->test_range));
}
if constexpr (TestFixture::const_iterable)
{
EXPECT_TRUE(std::ranges::cbegin(this->test_range) == std::ranges::cbegin(this->test_range));
EXPECT_FALSE(std::ranges::cbegin(this->test_range) != std::ranges::cbegin(this->test_range));
EXPECT_FALSE(std::ranges::cbegin(this->test_range) == std::ranges::cend(this->test_range));
EXPECT_TRUE(std::ranges::cbegin(this->test_range) != std::ranges::cend(this->test_range));
EXPECT_FALSE(std::ranges::cend(this->test_range) == std::ranges::cbegin(this->test_range));
EXPECT_TRUE(std::ranges::cend(this->test_range) != std::ranges::cbegin(this->test_range));
// (non-const lhs)
EXPECT_TRUE(std::ranges::begin(this->test_range) == std::ranges::cbegin(this->test_range));
EXPECT_FALSE(std::ranges::begin(this->test_range) != std::ranges::cbegin(this->test_range));
EXPECT_FALSE(std::ranges::begin(this->test_range) == std::ranges::cend(this->test_range));
EXPECT_TRUE(std::ranges::begin(this->test_range) != std::ranges::cend(this->test_range));
EXPECT_FALSE(std::ranges::end(this->test_range) == std::ranges::cbegin(this->test_range));
EXPECT_TRUE(std::ranges::end(this->test_range) != std::ranges::cbegin(this->test_range));
// (non-const rhs)
EXPECT_TRUE(std::ranges::cbegin(this->test_range) == std::ranges::begin(this->test_range));
EXPECT_FALSE(std::ranges::cbegin(this->test_range) != std::ranges::begin(this->test_range));
EXPECT_FALSE(std::ranges::cend(this->test_range) == std::ranges::begin(this->test_range));
EXPECT_TRUE(std::ranges::cend(this->test_range) != std::ranges::begin(this->test_range));
EXPECT_FALSE(std::ranges::cbegin(this->test_range) == std::ranges::end(this->test_range));
EXPECT_TRUE(std::ranges::cbegin(this->test_range) != std::ranges::end(this->test_range));
}
}
template <typename test_type, typename it_begin_t, typename it_sentinel_t, typename rng_t>
inline void move_forward_pre_test(it_begin_t && it_begin, it_sentinel_t && it_end, rng_t && rng)
{
// pre-increment
auto rng_it = std::ranges::begin(rng);
auto rng_it_end = std::ranges::end(rng);
for (auto it = it_begin; it != it_end && rng_it != rng_it_end; ++it, ++rng_it)
expext_eq<test_type>(*it, *rng_it);
}
template <typename test_type, typename it_begin_t, typename it_sentinel_t, typename rng_t>
inline void move_forward_post_test(it_begin_t && it_begin, it_sentinel_t && it_end, rng_t && rng)
{
// post-increment
auto rng_it = std::ranges::begin(rng);
auto rng_it_end = std::ranges::end(rng);
for (auto it = it_begin; it != it_end && rng_it != rng_it_end; it++, ++rng_it)
expext_eq<test_type>(*it, *rng_it);
}
TYPED_TEST_P(iterator_fixture, move_forward_pre)
{
move_forward_pre_test<TypeParam>(std::ranges::begin(this->test_range),
std::ranges::end(this->test_range),
this->expected_range);
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::forward_iterator_tag>) // iterate over it again
move_forward_pre_test<TypeParam>(std::ranges::begin(this->test_range),
std::ranges::end(this->test_range),
this->expected_range);
if constexpr (TestFixture::const_iterable)
move_forward_pre_test<TypeParam>(std::ranges::cbegin(this->test_range),
std::ranges::cend(this->test_range),
this->expected_range);
}
TYPED_TEST_P(iterator_fixture, move_forward_post)
{
move_forward_post_test<TypeParam>(std::ranges::begin(this->test_range),
std::ranges::end(this->test_range),
this->expected_range);
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::forward_iterator_tag>) // iterate over it again
move_forward_post_test<TypeParam>(std::ranges::begin(this->test_range),
std::ranges::end(this->test_range),
this->expected_range);
if constexpr (TestFixture::const_iterable)
move_forward_post_test<TypeParam>(std::ranges::cbegin(this->test_range),
std::ranges::cend(this->test_range),
this->expected_range);
}
// ---------------------------------------------------------------------------------------------------------------------
// Bidirectional Iterator
// ---------------------------------------------------------------------------------------------------------------------
template <typename it_begin_t, typename it_sentinel_t, typename rng_t>
inline auto last_iterators(it_begin_t const & it_begin, it_sentinel_t const & it_end, rng_t && rng)
{
it_begin_t it = it_begin;
auto rng_it = std::ranges::begin(rng);
for (auto const rng_it_end = std::ranges::end(rng);
std::ranges::next(it) != it_end && std::ranges::next(rng_it) != rng_it_end;
++it, ++rng_it);
return std::pair{it, rng_it};
}
template <typename test_type, typename it_begin_t, typename it_sentinel_t, typename rng_t>
inline void move_backward_pre_test(it_begin_t && it_begin, it_sentinel_t && it_end, rng_t && rng)
{
// move to last position
auto && [last_it, rng_last_it] = last_iterators(it_begin, it_end, rng);
auto const rng_it_begin = std::ranges::begin(rng);
// pre-decrement
for (auto it = last_it, rng_it = rng_last_it;
it != it_begin && rng_it != rng_it_begin;
--rng_it)
{
expext_eq<test_type>(*it, *rng_it);
--it;
}
expext_eq<test_type>(*it_begin, *rng_it_begin);
}
template <typename test_type, typename it_begin_t, typename it_sentinel_t, typename rng_t>
inline void move_backward_post_test(it_begin_t && it_begin, it_sentinel_t && it_end, rng_t && rng)
{
// move to last position
auto && [last_it, rng_last_it] = last_iterators(it_begin, it_end, rng);
auto const rng_it_begin = std::ranges::begin(rng);
// post-decrement
for (auto it = last_it, rng_it = rng_last_it;
it != it_begin && rng_it != rng_it_begin;
--rng_it)
{
expext_eq<test_type>(*(it--), *rng_it);
}
expext_eq<test_type>(*it_begin, *rng_it_begin);
}
TYPED_TEST_P(iterator_fixture, move_backward_pre)
{
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::bidirectional_iterator_tag>)
{
move_backward_pre_test<TypeParam>(std::ranges::begin(this->test_range),
std::ranges::end(this->test_range),
this->expected_range);
if constexpr (TestFixture::const_iterable)
move_backward_pre_test<TypeParam>(std::ranges::cbegin(this->test_range),
std::ranges::cend(this->test_range),
this->expected_range);
}
}
TYPED_TEST_P(iterator_fixture, move_backward_post)
{
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::bidirectional_iterator_tag>)
{
move_backward_post_test<TypeParam>(std::ranges::begin(this->test_range),
std::ranges::end(this->test_range),
this->expected_range);
if constexpr (TestFixture::const_iterable)
move_backward_post_test<TypeParam>(std::ranges::cbegin(this->test_range),
std::ranges::cend(this->test_range),
this->expected_range);
}
}
// ---------------------------------------------------------------------------------------------------------------------
// Random Access Iterator
// ---------------------------------------------------------------------------------------------------------------------
template <typename test_type, typename it_begin_t, typename rng_t>
inline void jump_forward_test(it_begin_t && it_begin, rng_t && rng)
{
size_t sz = std::ranges::distance(rng);
// Forward
for (size_t n = 0; n < sz; ++n)
{
auto it = it_begin;
expext_eq<test_type>(rng[n], *(it += n));
expext_eq<test_type>(rng[n], *(it));
}
// Forward copy
for (size_t n = 0; n < sz; ++n)
{
expext_eq<test_type>(rng[n], *(it_begin + n));
expext_eq<test_type>(rng[0], *it_begin);
}
// Forward copy friend
for (size_t n = 0; n < sz; ++n)
{
expext_eq<test_type>(rng[n], *(n + it_begin));
expext_eq<test_type>(rng[0], *it_begin);
}
}
TYPED_TEST_P(iterator_fixture, jump_forward)
{
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::random_access_iterator_tag>)
{
jump_forward_test<TypeParam>(std::ranges::begin(this->test_range), this->expected_range);
if constexpr (TestFixture::const_iterable)
jump_forward_test<TypeParam>(std::ranges::cbegin(this->test_range), this->expected_range);
}
}
template <typename test_type, typename it_begin_t, typename rng_t>
inline void jump_backward_test(it_begin_t && it_begin, rng_t && rng)
{
size_t sz = std::ranges::distance(rng);
auto pre_end_it = it_begin + (sz - 1);
// Backward
for (size_t n = 0; n < sz; ++n)
{
auto it = pre_end_it;
expext_eq<test_type>(rng[sz - 1 - n], *(it -= n));
expext_eq<test_type>(rng[sz - 1 - n], *it);
}
// Backward copy
for (size_t n = 0; n < sz; ++n)
{
expext_eq<test_type>(rng[sz - n - 1], *(pre_end_it - n));
expext_eq<test_type>(rng[sz - 1], *pre_end_it);
}
// Backward copy friend through (-n) + it
for (size_t n = 0; n < sz; ++n)
{
expext_eq<test_type>(rng[sz - n - 1], *((-1 * n) + pre_end_it));
expext_eq<test_type>(rng[sz - 1], *pre_end_it);
}
}
TYPED_TEST_P(iterator_fixture, jump_backward)
{
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::random_access_iterator_tag>)
{
jump_backward_test<TypeParam>(std::ranges::begin(this->test_range), this->expected_range);
if constexpr (TestFixture::const_iterable)
jump_backward_test<TypeParam>(std::ranges::cbegin(this->test_range), this->expected_range);
}
}
template <typename test_type, typename it_begin_t, typename rng_t>
inline void jump_random_test(it_begin_t && it_begin, rng_t && rng)
{
size_t sz = std::ranges::distance(rng);
for (size_t n = 0; n < sz; ++n)
expext_eq<test_type>(rng[n], it_begin[n]);
}
TYPED_TEST_P(iterator_fixture, jump_random)
{
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::random_access_iterator_tag>)
{
jump_random_test<TypeParam>(std::ranges::begin(this->test_range), this->expected_range);
if constexpr (TestFixture::const_iterable)
jump_random_test<TypeParam>(std::ranges::cbegin(this->test_range), this->expected_range);
}
}
template <typename it_begin_t, typename rng_t>
inline void difference_test(it_begin_t && it_begin, rng_t && rng)
{
size_t sz = std::ranges::distance(rng);
using difference_t = std::iter_difference_t<it_begin_t>;
for (size_t n = 0; n < sz; ++n)
EXPECT_EQ(static_cast<difference_t>(n), ((it_begin + n) - it_begin));
}
TYPED_TEST_P(iterator_fixture, difference_common)
{
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::random_access_iterator_tag>)
{
difference_test(std::ranges::begin(this->test_range), this->expected_range);
if constexpr (TestFixture::const_iterable)
difference_test(std::ranges::cbegin(this->test_range), this->expected_range);
}
}
TYPED_TEST_P(iterator_fixture, difference_sentinel)
{
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::random_access_iterator_tag>)
{
using difference_t = std::ranges::range_difference_t<decltype(this->test_range)>;
auto && begin = std::ranges::begin(this->test_range);
auto && end = std::ranges::end(this->test_range);
difference_t size = std::ranges::distance(this->expected_range);
EXPECT_EQ(size, end - begin);
EXPECT_EQ(-size, begin - end);
if constexpr (TestFixture::const_iterable)
{
auto && cbegin = std::ranges::cbegin(this->test_range);
auto && cend = std::ranges::cend(this->test_range);
EXPECT_EQ(size, cend - cbegin);
EXPECT_EQ(-size, cbegin - cend);
EXPECT_EQ(size, end - cbegin);
EXPECT_EQ(-size, cbegin - end);
EXPECT_EQ(size, cend - begin);
EXPECT_EQ(-size, begin - cend);
}
}
}
TYPED_TEST_P(iterator_fixture, compare_less)
{
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::random_access_iterator_tag>)
{
EXPECT_FALSE(std::ranges::begin(this->test_range) < std::ranges::begin(this->test_range));
EXPECT_TRUE(std::ranges::begin(this->test_range) < std::ranges::next(std::ranges::begin(this->test_range)));
}
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::random_access_iterator_tag> &&
TestFixture::const_iterable)
{
EXPECT_FALSE(std::ranges::cbegin(this->test_range) < std::ranges::cbegin(this->test_range));
EXPECT_TRUE(std::ranges::cbegin(this->test_range) < std::ranges::next(std::ranges::cbegin(this->test_range)));
// mix
EXPECT_FALSE(std::ranges::begin(this->test_range) < std::ranges::cbegin(this->test_range));
EXPECT_TRUE(std::ranges::begin(this->test_range) < std::ranges::next(std::ranges::cbegin(this->test_range)));
EXPECT_FALSE(std::ranges::cbegin(this->test_range) < std::ranges::begin(this->test_range));
EXPECT_TRUE(std::ranges::cbegin(this->test_range) < std::ranges::next(std::ranges::begin(this->test_range)));
}
}
TYPED_TEST_P(iterator_fixture, compare_greater)
{
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::random_access_iterator_tag>)
{
EXPECT_FALSE(std::ranges::begin(this->test_range) > std::ranges::begin(this->test_range));
EXPECT_FALSE(std::ranges::begin(this->test_range) > std::ranges::next(std::ranges::begin(this->test_range)));
}
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::random_access_iterator_tag> &&
TestFixture::const_iterable)
{
EXPECT_FALSE(std::ranges::cbegin(this->test_range) > std::ranges::cbegin(this->test_range));
EXPECT_FALSE(std::ranges::cbegin(this->test_range) > std::ranges::next(std::ranges::cbegin(this->test_range)));
// mix
EXPECT_FALSE(std::ranges::begin(this->test_range) > std::ranges::cbegin(this->test_range));
EXPECT_FALSE(std::ranges::begin(this->test_range) > std::ranges::next(std::ranges::cbegin(this->test_range)));
EXPECT_FALSE(std::ranges::cbegin(this->test_range) > std::ranges::begin(this->test_range));
EXPECT_FALSE(std::ranges::cbegin(this->test_range) > std::ranges::next(std::ranges::begin(this->test_range)));
}
}
TYPED_TEST_P(iterator_fixture, compare_leq)
{
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::random_access_iterator_tag>)
{
EXPECT_TRUE(std::ranges::begin(this->test_range) <= std::ranges::begin(this->test_range));
EXPECT_TRUE(std::ranges::begin(this->test_range) <= std::ranges::next(std::ranges::begin(this->test_range)));
}
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::random_access_iterator_tag> &&
TestFixture::const_iterable)
{
EXPECT_TRUE(std::ranges::cbegin(this->test_range) <= std::ranges::cbegin(this->test_range));
EXPECT_TRUE(std::ranges::cbegin(this->test_range) <= std::ranges::next(std::ranges::cbegin(this->test_range)));
// mix
EXPECT_TRUE(std::ranges::begin(this->test_range) <= std::ranges::cbegin(this->test_range));
EXPECT_TRUE(std::ranges::begin(this->test_range) <= std::ranges::next(std::ranges::cbegin(this->test_range)));
EXPECT_TRUE(std::ranges::cbegin(this->test_range) <= std::ranges::begin(this->test_range));
EXPECT_TRUE(std::ranges::cbegin(this->test_range) <= std::ranges::next(std::ranges::begin(this->test_range)));
}
}
TYPED_TEST_P(iterator_fixture, compare_geq)
{
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::random_access_iterator_tag>)
{
EXPECT_TRUE(std::ranges::begin(this->test_range) >= std::ranges::begin(this->test_range));
EXPECT_FALSE(std::ranges::begin(this->test_range) >= std::ranges::next(std::ranges::begin(this->test_range)));
}
if constexpr (std::derived_from<typename TestFixture::iterator_tag, std::random_access_iterator_tag> &&
TestFixture::const_iterable)
{
EXPECT_TRUE(std::ranges::cbegin(this->test_range) >= std::ranges::cbegin(this->test_range));
EXPECT_FALSE(std::ranges::cbegin(this->test_range) >= std::ranges::next(std::ranges::cbegin(this->test_range)));
// mix
EXPECT_TRUE(std::ranges::begin(this->test_range) >= std::ranges::cbegin(this->test_range));
EXPECT_FALSE(std::ranges::begin(this->test_range) >= std::ranges::next(std::ranges::cbegin(this->test_range)));
EXPECT_TRUE(std::ranges::cbegin(this->test_range) >= std::ranges::begin(this->test_range));
EXPECT_FALSE(std::ranges::cbegin(this->test_range) >= std::ranges::next(std::ranges::begin(this->test_range)));
}
}
REGISTER_TYPED_TEST_SUITE_P(iterator_fixture,
concept_check,
const_non_const_compatibility,
dereference,
compare,
move_forward_pre,
move_forward_post,
move_backward_pre,
move_backward_post,
jump_forward,
jump_backward,
jump_random,
difference_common,
difference_sentinel,
compare_less,
compare_greater,
compare_leq,
compare_geq);
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