This documentation is automatically generated by competitive-verifier/competitive-verifier
// competitive-verifier: STANDALONE
#include <cstdint>
#include <iostream>
#include <limits>
#include <type_traits>
#include "tools/int128_t.hpp"
#include "tools/is_signed.hpp"
#include "tools/is_unsigned.hpp"
#include "tools/make_wider.hpp"
#include "tools/uint128_t.hpp"
int main() {
std::cin.tie(nullptr);
std::ios_base::sync_with_stdio(false);
constexpr int max_digits = std::numeric_limits<tools::uint128_t>::digits;
{
using T = std::int8_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = std::uint8_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = std::int16_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = std::uint16_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = std::int32_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = std::uint32_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = std::int64_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = std::uint64_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = tools::int128_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = tools::uint128_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = const int;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = volatile int;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(std::is_volatile_v<W>);
}
{
using T = const volatile int;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(std::is_const_v<W>);
static_assert(std::is_volatile_v<W>);
}
{
using T = const unsigned int;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = volatile unsigned int;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(std::is_volatile_v<W>);
}
{
using T = const volatile unsigned int;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(std::is_const_v<W>);
static_assert(std::is_volatile_v<W>);
}
{
using T = const tools::int128_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = volatile tools::int128_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(std::is_volatile_v<W>);
}
{
using T = const volatile tools::int128_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(std::is_const_v<W>);
static_assert(std::is_volatile_v<W>);
}
{
using T = const tools::uint128_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = volatile tools::uint128_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(std::is_volatile_v<W>);
}
{
using T = const volatile tools::uint128_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(std::is_const_v<W>);
static_assert(std::is_volatile_v<W>);
}
return 0;
}
#line 1 "tests/make_wider.test.cpp"
// competitive-verifier: STANDALONE
#include <cstdint>
#include <iostream>
#include <limits>
#include <type_traits>
#line 1 "tools/int128_t.hpp"
#line 1 "tools/detail/int128_t_and_uint128_t.hpp"
#include <algorithm>
#include <cassert>
#include <cstddef>
#line 8 "tools/detail/int128_t_and_uint128_t.hpp"
#include <functional>
#line 11 "tools/detail/int128_t_and_uint128_t.hpp"
#include <string>
#include <string_view>
#include <utility>
#line 1 "tools/abs.hpp"
#include <cmath>
#line 7 "tools/abs.hpp"
namespace tools {
namespace detail::abs {
template <typename T>
struct impl {
constexpr decltype(auto) operator()(const T x) const noexcept(noexcept(std::abs(x))) {
return std::abs(x);
}
};
}
template <typename T>
constexpr decltype(auto) abs(T&& x) noexcept(noexcept(tools::detail::abs::impl<std::remove_cvref_t<T>>{}(std::forward<T>(x)))) {
return tools::detail::abs::impl<std::remove_cvref_t<T>>{}(std::forward<T>(x));
}
}
#line 1 "tools/bit_ceil.hpp"
#include <bit>
#line 1 "tools/is_signed.hpp"
#line 5 "tools/is_signed.hpp"
namespace tools {
template <typename T>
struct is_signed : std::is_signed<T> {};
template <typename T>
inline constexpr bool is_signed_v = tools::is_signed<T>::value;
}
#line 1 "tools/is_unsigned.hpp"
#line 5 "tools/is_unsigned.hpp"
namespace tools {
template <typename T>
struct is_unsigned : std::is_unsigned<T> {};
template <typename T>
inline constexpr bool is_unsigned_v = tools::is_unsigned<T>::value;
}
#line 1 "tools/make_unsigned.hpp"
#line 5 "tools/make_unsigned.hpp"
namespace tools {
template <typename T>
struct make_unsigned : std::make_unsigned<T> {};
template <typename T>
using make_unsigned_t = typename tools::make_unsigned<T>::type;
}
#line 1 "tools/non_bool_integral.hpp"
#include <concepts>
#line 1 "tools/integral.hpp"
#line 1 "tools/is_integral.hpp"
#line 5 "tools/is_integral.hpp"
namespace tools {
template <typename T>
struct is_integral : std::is_integral<T> {};
template <typename T>
inline constexpr bool is_integral_v = tools::is_integral<T>::value;
}
#line 5 "tools/integral.hpp"
namespace tools {
template <typename T>
concept integral = tools::is_integral_v<T>;
}
#line 7 "tools/non_bool_integral.hpp"
namespace tools {
template <typename T>
concept non_bool_integral = tools::integral<T> && !std::same_as<std::remove_cv_t<T>, bool>;
}
#line 12 "tools/bit_ceil.hpp"
namespace tools {
namespace detail::bit_ceil {
template <tools::non_bool_integral T>
struct impl {
constexpr T operator()(const T x) const noexcept(noexcept(impl<tools::make_unsigned_t<T>>{}(x))) requires tools::is_signed_v<T> {
assert(x >= 0);
return impl<tools::make_unsigned_t<T>>{}(x);
}
constexpr T operator()(const T x) const noexcept(noexcept(std::bit_ceil(x))) requires tools::is_unsigned_v<T> {
return std::bit_ceil(x);
}
};
}
template <typename T>
constexpr decltype(auto) bit_ceil(T&& x) noexcept(noexcept(tools::detail::bit_ceil::impl<std::remove_cvref_t<T>>{}(std::forward<T>(x)))) {
return tools::detail::bit_ceil::impl<std::remove_cvref_t<T>>{}(std::forward<T>(x));
}
}
#line 1 "tools/bit_floor.hpp"
#line 12 "tools/bit_floor.hpp"
namespace tools {
namespace detail::bit_floor {
template <tools::non_bool_integral T>
struct impl {
constexpr T operator()(const T x) const noexcept(noexcept(impl<tools::make_unsigned_t<T>>{}(x))) requires tools::is_signed_v<T> {
assert(x >= 0);
return impl<tools::make_unsigned_t<T>>{}(x);
}
constexpr T operator()(const T x) const noexcept(noexcept(std::bit_floor(x))) requires tools::is_unsigned_v<T> {
return std::bit_floor(x);
}
};
}
template <typename T>
constexpr decltype(auto) bit_floor(T&& x) noexcept(noexcept(tools::detail::bit_floor::impl<std::remove_cvref_t<T>>{}(std::forward<T>(x)))) {
return tools::detail::bit_floor::impl<std::remove_cvref_t<T>>{}(std::forward<T>(x));
}
}
#line 1 "tools/bit_width.hpp"
#line 12 "tools/bit_width.hpp"
namespace tools {
namespace detail::bit_width {
template <tools::non_bool_integral T>
struct impl {
constexpr int operator()(const T x) const noexcept(noexcept(impl<tools::make_unsigned_t<T>>{}(x))) requires tools::is_signed_v<T> {
assert(x >= 0);
return impl<tools::make_unsigned_t<T>>{}(x);
}
constexpr int operator()(const T x) const noexcept(noexcept(std::bit_width(x))) requires tools::is_unsigned_v<T> {
return std::bit_width(x);
}
};
}
template <typename T>
constexpr decltype(auto) bit_width(T&& x) noexcept(noexcept(tools::detail::bit_width::impl<std::remove_cvref_t<T>>{}(std::forward<T>(x)))) {
return tools::detail::bit_width::impl<std::remove_cvref_t<T>>{}(std::forward<T>(x));
}
}
#line 1 "tools/countr_zero.hpp"
#line 14 "tools/countr_zero.hpp"
namespace tools {
namespace detail::countr_zero {
template <tools::non_bool_integral T>
struct impl {
constexpr int operator()(const T x) const noexcept(noexcept(impl<tools::make_unsigned_t<T>>{}(x))) requires tools::is_signed_v<T> {
assert(x >= 0);
return std::min(impl<tools::make_unsigned_t<T>>{}(x), std::numeric_limits<T>::digits);
}
constexpr int operator()(const T x) const noexcept(noexcept(std::countr_zero(x))) requires tools::is_unsigned_v<T> {
return std::countr_zero(x);
}
};
}
template <typename T>
constexpr decltype(auto) countr_zero(T&& x) noexcept(noexcept(tools::detail::countr_zero::impl<std::remove_cvref_t<T>>{}(std::forward<T>(x)))) {
return tools::detail::countr_zero::impl<std::remove_cvref_t<T>>{}(std::forward<T>(x));
}
}
#line 1 "tools/gcd.hpp"
#include <numeric>
#line 7 "tools/gcd.hpp"
namespace tools {
namespace detail::gcd {
template <typename M, typename N>
struct impl {
constexpr decltype(auto) operator()(const M m, const N n) const noexcept(noexcept(std::gcd(m, n))) {
return std::gcd(m, n);
}
};
}
template <typename M, typename N>
constexpr decltype(auto) gcd(M&& m, N&& n) noexcept(noexcept(tools::detail::gcd::impl<std::remove_cvref_t<M>, std::remove_cvref_t<N>>{}(std::forward<M>(m), std::forward<N>(n)))) {
return tools::detail::gcd::impl<std::remove_cvref_t<M>, std::remove_cvref_t<N>>{}(std::forward<M>(m), std::forward<N>(n));
}
}
#line 1 "tools/has_single_bit.hpp"
#line 12 "tools/has_single_bit.hpp"
namespace tools {
namespace detail::has_single_bit {
template <tools::non_bool_integral T>
struct impl {
constexpr bool operator()(const T x) const noexcept(noexcept(impl<tools::make_unsigned_t<T>>{}(x))) requires tools::is_signed_v<T> {
assert(x >= 0);
return impl<tools::make_unsigned_t<T>>{}(x);
}
constexpr bool operator()(const T x) const noexcept(noexcept(std::has_single_bit(x))) requires tools::is_unsigned_v<T> {
return std::has_single_bit(x);
}
};
}
template <typename T>
constexpr decltype(auto) has_single_bit(T&& x) noexcept(noexcept(tools::detail::has_single_bit::impl<std::remove_cvref_t<T>>{}(std::forward<T>(x)))) {
return tools::detail::has_single_bit::impl<std::remove_cvref_t<T>>{}(std::forward<T>(x));
}
}
#line 1 "tools/hash_combine.hpp"
#line 6 "tools/hash_combine.hpp"
// Source: https://github.com/google/cityhash/blob/f5dc54147fcce12cefd16548c8e760d68ac04226/src/city.h
// License: MIT
// Author: Google Inc.
// Copyright (c) 2011 Google, Inc.
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in
// all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
// THE SOFTWARE.
namespace tools {
template <typename T>
void hash_combine(std::size_t& seed, const T& v) {
static const std::hash<T> hasher;
static constexpr std::size_t k_mul = 0x9ddfea08eb382d69ULL;
std::size_t a = (hasher(v) ^ seed) * k_mul;
a ^= (a >> 47);
std::size_t b = (seed ^ a) * k_mul;
b ^= (b >> 47);
seed = b * k_mul;
}
}
#line 1 "tools/make_signed.hpp"
#line 5 "tools/make_signed.hpp"
namespace tools {
template <typename T>
struct make_signed : std::make_signed<T> {};
template <typename T>
using make_signed_t = typename tools::make_signed<T>::type;
}
#line 1 "tools/now.hpp"
#include <chrono>
namespace tools {
inline long long now() {
return std::chrono::duration_cast<std::chrono::nanoseconds>(std::chrono::high_resolution_clock::now().time_since_epoch()).count();
}
}
#line 1 "tools/popcount.hpp"
#line 12 "tools/popcount.hpp"
namespace tools {
namespace detail::popcount {
template <tools::non_bool_integral T>
struct impl {
constexpr int operator()(const T x) const noexcept(noexcept(impl<tools::make_unsigned_t<T>>{}(x))) requires tools::is_signed_v<T> {
assert(x >= 0);
return impl<tools::make_unsigned_t<T>>{}(x);
}
constexpr int operator()(const T x) const noexcept(noexcept(std::popcount(x))) requires tools::is_unsigned_v<T> {
return std::popcount(x);
}
};
}
template <typename T>
constexpr decltype(auto) popcount(T&& x) noexcept(noexcept(tools::detail::popcount::impl<std::remove_cvref_t<T>>{}(std::forward<T>(x)))) {
return tools::detail::popcount::impl<std::remove_cvref_t<T>>{}(std::forward<T>(x));
}
}
#line 31 "tools/detail/int128_t_and_uint128_t.hpp"
namespace tools {
using uint128_t = unsigned __int128;
using int128_t = __int128;
template <>
struct is_integral<tools::int128_t> : std::true_type {};
template <>
struct is_integral<tools::uint128_t> : std::true_type {};
template <>
struct is_integral<const tools::int128_t> : std::true_type {};
template <>
struct is_integral<const tools::uint128_t> : std::true_type {};
template <>
struct is_integral<volatile tools::int128_t> : std::true_type {};
template <>
struct is_integral<volatile tools::uint128_t> : std::true_type {};
template <>
struct is_integral<const volatile tools::int128_t> : std::true_type {};
template <>
struct is_integral<const volatile tools::uint128_t> : std::true_type {};
template <>
struct is_signed<tools::int128_t> : std::true_type {};
template <>
struct is_signed<tools::uint128_t> : std::false_type {};
template <>
struct is_signed<const tools::int128_t> : std::true_type {};
template <>
struct is_signed<const tools::uint128_t> : std::false_type {};
template <>
struct is_signed<volatile tools::int128_t> : std::true_type {};
template <>
struct is_signed<volatile tools::uint128_t> : std::false_type {};
template <>
struct is_signed<const volatile tools::int128_t> : std::true_type {};
template <>
struct is_signed<const volatile tools::uint128_t> : std::false_type {};
template <>
struct is_unsigned<tools::int128_t> : std::false_type {};
template <>
struct is_unsigned<tools::uint128_t> : std::true_type {};
template <>
struct is_unsigned<const tools::int128_t> : std::false_type {};
template <>
struct is_unsigned<const tools::uint128_t> : std::true_type {};
template <>
struct is_unsigned<volatile tools::int128_t> : std::false_type {};
template <>
struct is_unsigned<volatile tools::uint128_t> : std::true_type {};
template <>
struct is_unsigned<const volatile tools::int128_t> : std::false_type {};
template <>
struct is_unsigned<const volatile tools::uint128_t> : std::true_type {};
template <>
struct make_signed<tools::int128_t> {
using type = tools::int128_t;
};
template <>
struct make_signed<tools::uint128_t> {
using type = tools::int128_t;
};
template <>
struct make_signed<const tools::int128_t> {
using type = const tools::int128_t;
};
template <>
struct make_signed<const tools::uint128_t> {
using type = const tools::int128_t;
};
template <>
struct make_signed<volatile tools::int128_t> {
using type = volatile tools::int128_t;
};
template <>
struct make_signed<volatile tools::uint128_t> {
using type = volatile tools::int128_t;
};
template <>
struct make_signed<const volatile tools::int128_t> {
using type = const volatile tools::int128_t;
};
template <>
struct make_signed<const volatile tools::uint128_t> {
using type = const volatile tools::int128_t;
};
template <>
struct make_unsigned<tools::int128_t> {
using type = tools::uint128_t;
};
template <>
struct make_unsigned<tools::uint128_t> {
using type = tools::uint128_t;
};
template <>
struct make_unsigned<const tools::int128_t> {
using type = const tools::uint128_t;
};
template <>
struct make_unsigned<const tools::uint128_t> {
using type = const tools::uint128_t;
};
template <>
struct make_unsigned<volatile tools::int128_t> {
using type = volatile tools::uint128_t;
};
template <>
struct make_unsigned<volatile tools::uint128_t> {
using type = volatile tools::uint128_t;
};
template <>
struct make_unsigned<const volatile tools::int128_t> {
using type = const volatile tools::uint128_t;
};
template <>
struct make_unsigned<const volatile tools::uint128_t> {
using type = const volatile tools::uint128_t;
};
namespace detail::int128_t {
constexpr tools::uint128_t parse_unsigned(const std::string_view s) noexcept {
assert(!s.empty());
tools::uint128_t x = 0;
std::size_t i = s[0] == '+';
if (i + 1 < s.size() && s[i] == '0' && (s[i + 1] == 'x' || s[i + 1] == 'X')) {
for (i += 2; i < s.size(); ++i) {
assert(('0' <= s[i] && s[i] <= '9') || ('a' <= s[i] && s[i] <= 'f') || ('A' <= s[i] && s[i] <= 'F'));
x <<= 4;
if ('0' <= s[i] && s[i] <= '9') {
x |= s[i] - '0';
} else if ('a' <= s[i] && s[i] <= 'f') {
x |= s[i] - 'a' + 10;
} else {
x |= s[i] - 'A' + 10;
}
}
} else {
for (; i < s.size(); ++i) {
assert('0' <= s[i] && s[i] <= '9');
x *= 10;
x += s[i] - '0';
}
}
return x;
}
constexpr tools::int128_t parse_signed(const std::string_view s) noexcept {
assert(!s.empty());
tools::int128_t x = 0;
if (s[0] == '-') {
std::size_t i = 1;
if (i + 1 < s.size() && s[i] == '0' && (s[i + 1] == 'x' || s[i + 1] == 'X')) {
for (i += 2; i < s.size(); ++i) {
assert(('0' <= s[i] && s[i] <= '9') || ('a' <= s[i] && s[i] <= 'f') || ('A' <= s[i] && s[i] <= 'F'));
x *= 16;
if ('0' <= s[i] && s[i] <= '9') {
x -= s[i] - '0';
} else if ('a' <= s[i] && s[i] <= 'f') {
x -= s[i] - 'a' + 10;
} else {
x -= s[i] - 'A' + 10;
}
}
} else {
for (; i < s.size(); ++i) {
assert('0' <= s[i] && s[i] <= '9');
x *= 10;
x -= s[i] - '0';
}
}
} else {
std::size_t i = s[0] == '+';
if (i + 1 < s.size() && s[i] == '0' && (s[i + 1] == 'x' || s[i + 1] == 'X')) {
for (i += 2; i < s.size(); ++i) {
assert(('0' <= s[i] && s[i] <= '9') || ('a' <= s[i] && s[i] <= 'f') || ('A' <= s[i] && s[i] <= 'F'));
x <<= 4;
if ('0' <= s[i] && s[i] <= '9') {
x |= s[i] - '0';
} else if ('a' <= s[i] && s[i] <= 'f') {
x |= s[i] - 'a' + 10;
} else {
x |= s[i] - 'A' + 10;
}
}
} else {
for (; i < s.size(); ++i) {
assert('0' <= s[i] && s[i] <= '9');
x *= 10;
x += s[i] - '0';
}
}
}
return x;
}
}
}
#define UINT128_C(c) tools::detail::int128_t::parse_unsigned(#c)
#define INT128_C(c) tools::detail::int128_t::parse_signed(#c)
inline std::istream& operator>>(std::istream& is, tools::uint128_t& x) {
std::string s;
is >> s;
x = tools::detail::int128_t::parse_unsigned(s);
return is;
}
inline std::istream& operator>>(std::istream& is, tools::int128_t& x) {
std::string s;
is >> s;
x = tools::detail::int128_t::parse_signed(s);
return is;
}
inline std::ostream& operator<<(std::ostream& os, tools::uint128_t x) {
std::string s;
if (x > 0) {
while (x > 0) {
s.push_back('0' + x % 10);
x /= 10;
}
} else {
s.push_back('0');
}
std::ranges::reverse(s);
return os << s;
}
inline std::ostream& operator<<(std::ostream& os, tools::int128_t x) {
std::string s;
if (x > 0) {
while (x > 0) {
s.push_back('0' + x % 10);
x /= 10;
}
} else if (x < 0) {
while (x < 0) {
s.push_back('0' + (-(x % 10)));
x /= 10;
}
s.push_back('-');
} else {
s.push_back('0');
}
std::ranges::reverse(s);
return os << s;
}
#if defined(__GLIBCXX__) && defined(__STRICT_ANSI__)
namespace std {
template <>
struct hash<tools::uint128_t> {
std::size_t operator()(const tools::uint128_t& x) const {
static const std::size_t seed = tools::now();
std::size_t hash = seed;
tools::hash_combine(hash, static_cast<std::uint64_t>(x >> 64));
tools::hash_combine(hash, static_cast<std::uint64_t>(x & ((UINT128_C(1) << 64) - 1)));
return hash;
}
};
template <>
struct hash<tools::int128_t> {
std::size_t operator()(const tools::int128_t& x) const {
static std::hash<tools::uint128_t> hasher;
return hasher(static_cast<tools::uint128_t>(x));
}
};
}
#endif
namespace tools {
template <>
struct detail::abs::impl<tools::int128_t> {
constexpr tools::int128_t operator()(const tools::int128_t& x) const noexcept {
return x >= 0 ? x : -x;
}
};
#if defined(__GLIBCXX__) && defined(__STRICT_ANSI__)
template <>
struct detail::bit_ceil::impl<tools::uint128_t> {
constexpr tools::uint128_t operator()(tools::uint128_t x) const noexcept {
if (x <= 1) return 1;
--x;
x |= x >> 1;
x |= x >> 2;
x |= x >> 4;
x |= x >> 8;
x |= x >> 16;
x |= x >> 32;
x |= x >> 64;
return ++x;
}
};
template <>
struct detail::bit_floor::impl<tools::uint128_t> {
constexpr tools::uint128_t operator()(tools::uint128_t x) const noexcept {
x |= x >> 1;
x |= x >> 2;
x |= x >> 4;
x |= x >> 8;
x |= x >> 16;
x |= x >> 32;
x |= x >> 64;
return x & ~(x >> 1);
}
};
template <>
struct detail::bit_width::impl<tools::uint128_t> {
constexpr int operator()(tools::uint128_t x) const noexcept {
int w = 0;
if (x & UINT128_C(0xffffffffffffffff0000000000000000)) {
x >>= 64;
w += 64;
}
if (x & UINT128_C(0xffffffff00000000)) {
x >>= 32;
w += 32;
}
if (x & UINT128_C(0xffff0000)) {
x >>= 16;
w += 16;
}
if (x & UINT128_C(0xff00)) {
x >>= 8;
w += 8;
}
if (x & UINT128_C(0xf0)) {
x >>= 4;
w += 4;
}
if (x & UINT128_C(0xc)) {
x >>= 2;
w += 2;
}
if (x & UINT128_C(0x2)) {
x >>= 1;
w += 1;
}
w += x;
return w;
}
};
template <>
class detail::countr_zero::impl<tools::uint128_t> {
using type = tools::uint128_t;
static constexpr int shift = 120;
static constexpr type magic = UINT128_C(0x01061438916347932a5cd9d3ead7b77f);
static constexpr int ntz_table[255] = {
128, 0, 1, -1, 2, -1, 8, -1, 3, -1, 15, -1, 9, -1, 22, -1,
4, -1, 29, -1, 16, -1, 36, -1, 10, -1, 43, -1, 23, -1, 50, -1,
5, -1, 33, -1, 30, -1, 57, -1, 17, -1, 64, -1, 37, -1, 71, -1,
11, -1, 60, -1, 44, -1, 78, -1, 24, -1, 85, -1, 51, -1, 92, -1,
-1, 6, -1, 20, -1, 34, -1, 48, 31, -1, -1, 69, 58, -1, -1, 90,
18, -1, 67, -1, 65, -1, 99, -1, 38, -1, 101, -1, 72, -1, 106, -1,
-1, 12, -1, 40, -1, 61, -1, 82, 45, -1, -1, 103, 79, -1, 113, -1,
-1, 25, -1, 74, 86, -1, -1, 116, -1, 52, -1, 108, -1, 93, -1, 120,
127, -1, -1, 7, -1, 14, -1, 21, -1, 28, -1, 35, -1, 42, -1, 49,
-1, 32, -1, 56, -1, 63, -1, 70, -1, 59, -1, 77, -1, 84, -1, 91,
-1, 19, -1, 47, -1, 68, -1, 89, -1, 66, -1, 98, -1, 100, -1, 105,
-1, 39, -1, 81, -1, 102, -1, 112, -1, 73, -1, 115, -1, 107, -1, 119,
126, -1, 13, -1, 27, -1, 41, -1, -1, 55, 62, -1, -1, 76, 83, -1,
-1, 46, -1, 88, -1, 97, -1, 104, -1, 80, -1, 111, -1, 114, -1, 118,
125, -1, 26, -1, 54, -1, 75, -1, -1, 87, 96, -1, -1, 110, -1, 117,
124, -1, 53, -1, -1, 95, 109, -1, 123, -1, 94, -1, 122, -1, 121
};
public:
constexpr int operator()(const type& x) const noexcept {
return ntz_table[static_cast<type>(magic * static_cast<type>(x & -x)) >> shift];
}
};
namespace detail::gcd {
template <>
struct impl<tools::uint128_t, tools::uint128_t> {
constexpr tools::uint128_t operator()(tools::uint128_t m, tools::uint128_t n) const noexcept {
while (n != 0) {
m %= n;
std::swap(m, n);
}
return m;
};
};
template <typename T>
concept non_bool_integral_at_most_128bit = tools::non_bool_integral<T> && std::numeric_limits<T>::digits <= 128;
template <typename T>
concept non_bool_integral_at_most_64bit = tools::non_bool_integral<T> && std::numeric_limits<T>::digits <= 64;
template <typename M, typename N> requires (
(non_bool_integral_at_most_128bit<M> && non_bool_integral_at_most_128bit<N>)
&& !(non_bool_integral_at_most_64bit<M> && non_bool_integral_at_most_64bit<N>)
&& !(std::same_as<M, tools::uint128_t> && std::same_as<N, tools::uint128_t>)
)
struct impl<M, N> {
constexpr std::common_type_t<M, N> operator()(const M m, const N n) const noexcept {
return std::common_type_t<M, N>(
tools::gcd(
m >= 0 ? tools::uint128_t(m) : tools::uint128_t(-(m + 1)) + 1,
n >= 0 ? tools::uint128_t(n) : tools::uint128_t(-(n + 1)) + 1
)
);
}
};
}
template <>
struct detail::has_single_bit::impl<tools::uint128_t> {
constexpr bool operator()(tools::uint128_t x) const noexcept {
return x != 0 && (x & (x - 1)) == 0;
}
};
template <>
struct detail::popcount::impl<tools::uint128_t> {
constexpr int operator()(tools::uint128_t x) const noexcept {
x = (x & UINT128_C(0x55555555555555555555555555555555)) + (x >> 1 & UINT128_C(0x55555555555555555555555555555555));
x = (x & UINT128_C(0x33333333333333333333333333333333)) + (x >> 2 & UINT128_C(0x33333333333333333333333333333333));
x = (x & UINT128_C(0x0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f)) + (x >> 4 & UINT128_C(0x0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f));
x = (x & UINT128_C(0x00ff00ff00ff00ff00ff00ff00ff00ff)) + (x >> 8 & UINT128_C(0x00ff00ff00ff00ff00ff00ff00ff00ff));
x = (x & UINT128_C(0x0000ffff0000ffff0000ffff0000ffff)) + (x >> 16 & UINT128_C(0x0000ffff0000ffff0000ffff0000ffff));
x = (x & UINT128_C(0x00000000ffffffff00000000ffffffff)) + (x >> 32 & UINT128_C(0x00000000ffffffff00000000ffffffff));
x = (x & UINT128_C(0x0000000000000000ffffffffffffffff)) + (x >> 64 & UINT128_C(0x0000000000000000ffffffffffffffff));
return x;
}
};
#endif
}
#line 5 "tools/int128_t.hpp"
#line 1 "tools/make_wider.hpp"
#line 1 "tools/uint128_t.hpp"
#line 5 "tools/uint128_t.hpp"
#line 11 "tools/make_wider.hpp"
namespace tools {
namespace detail::make_wider {
template <typename T>
struct safe_make_signed {
using type = tools::make_signed_t<T>;
};
template <>
struct safe_make_signed<void> {
using type = void;
};
template <typename T>
using safe_make_signed_t = typename safe_make_signed<T>::type;
}
template <tools::non_bool_integral T>
class make_wider {
using R = std::remove_cv_t<T>;
using U = tools::make_unsigned_t<R>;
using W = std::conditional_t<std::numeric_limits<U>::digits * 2 <= std::numeric_limits<unsigned char>::digits, unsigned char,
std::conditional_t<std::numeric_limits<U>::digits * 2 <= std::numeric_limits<unsigned short>::digits, unsigned short,
std::conditional_t<std::numeric_limits<U>::digits * 2 <= std::numeric_limits<unsigned int>::digits, unsigned int,
std::conditional_t<std::numeric_limits<U>::digits * 2 <= std::numeric_limits<unsigned long>::digits, unsigned long,
std::conditional_t<std::numeric_limits<U>::digits * 2 <= std::numeric_limits<unsigned long long>::digits, unsigned long long,
std::conditional_t<std::numeric_limits<U>::digits * 2 <= std::numeric_limits<tools::uint128_t>::digits, tools::uint128_t,
void>>>>>>;
using signedness_recovered = std::conditional_t<tools::is_signed_v<R>, tools::detail::make_wider::safe_make_signed_t<W>, W>;
using const_recovered = std::conditional_t<std::is_const_v<T>, std::add_const_t<signedness_recovered>, signedness_recovered>;
using volatile_recovered = std::conditional_t<std::is_volatile_v<T>, std::add_volatile_t<const_recovered>, const_recovered>;
public:
using type = volatile_recovered;
};
template <tools::non_bool_integral T>
using make_wider_t = typename tools::make_wider<T>::type;
}
#line 12 "tests/make_wider.test.cpp"
int main() {
std::cin.tie(nullptr);
std::ios_base::sync_with_stdio(false);
constexpr int max_digits = std::numeric_limits<tools::uint128_t>::digits;
{
using T = std::int8_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = std::uint8_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = std::int16_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = std::uint16_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = std::int32_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = std::uint32_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = std::int64_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = std::uint64_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = tools::int128_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = tools::uint128_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = const int;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = volatile int;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(std::is_volatile_v<W>);
}
{
using T = const volatile int;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(std::is_const_v<W>);
static_assert(std::is_volatile_v<W>);
}
{
using T = const unsigned int;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = volatile unsigned int;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(std::is_volatile_v<W>);
}
{
using T = const volatile unsigned int;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(std::is_const_v<W>);
static_assert(std::is_volatile_v<W>);
}
{
using T = const tools::int128_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = volatile tools::int128_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(std::is_volatile_v<W>);
}
{
using T = const volatile tools::int128_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_signed_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(std::is_const_v<W>);
static_assert(std::is_volatile_v<W>);
}
{
using T = const tools::uint128_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(std::is_const_v<W>);
static_assert(!std::is_volatile_v<W>);
}
{
using T = volatile tools::uint128_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(!std::is_const_v<W>);
static_assert(std::is_volatile_v<W>);
}
{
using T = const volatile tools::uint128_t;
using W = tools::make_wider_t<T>;
constexpr bool W_exists = std::numeric_limits<T>::digits * 2 <= max_digits;
static_assert((W_exists && std::numeric_limits<T>::digits * 2 <= std::numeric_limits<W>::digits && tools::is_unsigned_v<W>) || (!W_exists && std::is_void_v<W>));
static_assert(std::is_const_v<W>);
static_assert(std::is_volatile_v<W>);
}
return 0;
}