proconlib
This documentation is automatically generated by competitive-verifier/competitive-verifier
tests/bit_ceil.test.cpp
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- Last update: 2025-02-10 20:05:30+09:00
Depends on
- std::abs(x) extended for my library (tools/abs.hpp)
- $2^{\left\lceil \log_2(x) \right\rceil}$ (tools/bit_ceil.hpp)
- $2^{\left\lfloor \log_2(x) \right\rfloor}$ (tools/bit_floor.hpp)
- Bit width required to represent a given integer (tools/bit_width.hpp)
- Number of trailing zeros (tools/countr_zero.hpp)
- tools/detail/int128_t.hpp
- Combine hash values (tools/hash_combine.hpp)
- 128-bit signed integer (tools/int128_t.hpp)
- std::is_integral extended for tools::int128_t and tools::uint128_t (tools/is_integral.hpp)
- std::is_signed extended for tools::int128_t and tools::uint128_t (tools/is_signed.hpp)
- std::is_unsigned extended for tools::int128_t and tools::uint128_t (tools/is_unsigned.hpp)
- std::make_signed extended for tools::int128_t and tools::uint128_t (tools/make_signed.hpp)
- std::make_unsigned extended for tools::int128_t and tools::uint128_t (tools/make_unsigned.hpp)
- The number of nanoseconds that have elapsed since epoch (tools/now.hpp)
- 128-bit unsigned integer (tools/uint128_t.hpp)
Code
// competitive-verifier: STANDALONE
#include <iostream>
#include <cstdint>
#include "tools/bit_ceil.hpp"
#include "tools/int128_t.hpp"
#include "tools/uint128_t.hpp"
int main() {
std::cin.tie(nullptr);
std::ios_base::sync_with_stdio(false);
static_assert(tools::bit_ceil(INT32_C(0)) == INT32_C(1));
static_assert(tools::bit_ceil(INT32_C(1)) == INT32_C(1));
static_assert(tools::bit_ceil(INT32_C(2)) == INT32_C(2));
static_assert(tools::bit_ceil(INT32_C(3)) == INT32_C(4));
static_assert(tools::bit_ceil(INT32_C(4)) == INT32_C(4));
static_assert(tools::bit_ceil(INT32_C(5)) == INT32_C(8));
static_assert(tools::bit_ceil(INT32_C(6)) == INT32_C(8));
static_assert(tools::bit_ceil(INT32_C(7)) == INT32_C(8));
static_assert(tools::bit_ceil(INT32_C(8)) == INT32_C(8));
static_assert(tools::bit_ceil(INT32_C(9)) == INT32_C(16));
static_assert(tools::bit_ceil(INT32_C(10)) == INT32_C(16));
static_assert(tools::bit_ceil(INT32_C(1073741823)) == INT32_C(1073741824));
static_assert(tools::bit_ceil(INT32_C(1073741824)) == INT32_C(1073741824));
static_assert(tools::bit_ceil(UINT32_C(0)) == UINT32_C(1));
static_assert(tools::bit_ceil(UINT32_C(1)) == UINT32_C(1));
static_assert(tools::bit_ceil(UINT32_C(2)) == UINT32_C(2));
static_assert(tools::bit_ceil(UINT32_C(3)) == UINT32_C(4));
static_assert(tools::bit_ceil(UINT32_C(4)) == UINT32_C(4));
static_assert(tools::bit_ceil(UINT32_C(5)) == UINT32_C(8));
static_assert(tools::bit_ceil(UINT32_C(6)) == UINT32_C(8));
static_assert(tools::bit_ceil(UINT32_C(7)) == UINT32_C(8));
static_assert(tools::bit_ceil(UINT32_C(8)) == UINT32_C(8));
static_assert(tools::bit_ceil(UINT32_C(9)) == UINT32_C(16));
static_assert(tools::bit_ceil(UINT32_C(10)) == UINT32_C(16));
static_assert(tools::bit_ceil(UINT32_C(2147483647)) == UINT32_C(2147483648));
static_assert(tools::bit_ceil(UINT32_C(2147483648)) == UINT32_C(2147483648));
static_assert(tools::bit_ceil(INT64_C(0)) == INT64_C(1));
static_assert(tools::bit_ceil(INT64_C(1)) == INT64_C(1));
static_assert(tools::bit_ceil(INT64_C(2)) == INT64_C(2));
static_assert(tools::bit_ceil(INT64_C(3)) == INT64_C(4));
static_assert(tools::bit_ceil(INT64_C(4)) == INT64_C(4));
static_assert(tools::bit_ceil(INT64_C(5)) == INT64_C(8));
static_assert(tools::bit_ceil(INT64_C(6)) == INT64_C(8));
static_assert(tools::bit_ceil(INT64_C(7)) == INT64_C(8));
static_assert(tools::bit_ceil(INT64_C(8)) == INT64_C(8));
static_assert(tools::bit_ceil(INT64_C(9)) == INT64_C(16));
static_assert(tools::bit_ceil(INT64_C(10)) == INT64_C(16));
static_assert(tools::bit_ceil(INT64_C(4611686018427387903)) == INT64_C(4611686018427387904));
static_assert(tools::bit_ceil(INT64_C(4611686018427387904)) == INT64_C(4611686018427387904));
static_assert(tools::bit_ceil(UINT64_C(0)) == UINT64_C(1));
static_assert(tools::bit_ceil(UINT64_C(1)) == UINT64_C(1));
static_assert(tools::bit_ceil(UINT64_C(2)) == UINT64_C(2));
static_assert(tools::bit_ceil(UINT64_C(3)) == UINT64_C(4));
static_assert(tools::bit_ceil(UINT64_C(4)) == UINT64_C(4));
static_assert(tools::bit_ceil(UINT64_C(5)) == UINT64_C(8));
static_assert(tools::bit_ceil(UINT64_C(6)) == UINT64_C(8));
static_assert(tools::bit_ceil(UINT64_C(7)) == UINT64_C(8));
static_assert(tools::bit_ceil(UINT64_C(8)) == UINT64_C(8));
static_assert(tools::bit_ceil(UINT64_C(9)) == UINT64_C(16));
static_assert(tools::bit_ceil(UINT64_C(10)) == UINT64_C(16));
static_assert(tools::bit_ceil(UINT64_C(9223372036854775807)) == UINT64_C(9223372036854775808));
static_assert(tools::bit_ceil(UINT64_C(9223372036854775808)) == UINT64_C(9223372036854775808));
static_assert(tools::bit_ceil(INT128_C(0)) == INT128_C(1));
static_assert(tools::bit_ceil(INT128_C(1)) == INT128_C(1));
static_assert(tools::bit_ceil(INT128_C(2)) == INT128_C(2));
static_assert(tools::bit_ceil(INT128_C(3)) == INT128_C(4));
static_assert(tools::bit_ceil(INT128_C(4)) == INT128_C(4));
static_assert(tools::bit_ceil(INT128_C(5)) == INT128_C(8));
static_assert(tools::bit_ceil(INT128_C(6)) == INT128_C(8));
static_assert(tools::bit_ceil(INT128_C(7)) == INT128_C(8));
static_assert(tools::bit_ceil(INT128_C(8)) == INT128_C(8));
static_assert(tools::bit_ceil(INT128_C(9)) == INT128_C(16));
static_assert(tools::bit_ceil(INT128_C(10)) == INT128_C(16));
static_assert(tools::bit_ceil(INT128_C(85070591730234615865843651857942052863)) == INT128_C(85070591730234615865843651857942052864));
static_assert(tools::bit_ceil(INT128_C(85070591730234615865843651857942052864)) == INT128_C(85070591730234615865843651857942052864));
static_assert(tools::bit_ceil(UINT128_C(0)) == UINT128_C(1));
static_assert(tools::bit_ceil(UINT128_C(1)) == UINT128_C(1));
static_assert(tools::bit_ceil(UINT128_C(2)) == UINT128_C(2));
static_assert(tools::bit_ceil(UINT128_C(3)) == UINT128_C(4));
static_assert(tools::bit_ceil(UINT128_C(4)) == UINT128_C(4));
static_assert(tools::bit_ceil(UINT128_C(5)) == UINT128_C(8));
static_assert(tools::bit_ceil(UINT128_C(6)) == UINT128_C(8));
static_assert(tools::bit_ceil(UINT128_C(7)) == UINT128_C(8));
static_assert(tools::bit_ceil(UINT128_C(8)) == UINT128_C(8));
static_assert(tools::bit_ceil(UINT128_C(9)) == UINT128_C(16));
static_assert(tools::bit_ceil(UINT128_C(10)) == UINT128_C(16));
static_assert(tools::bit_ceil(UINT128_C(170141183460469231731687303715884105727)) == UINT128_C(170141183460469231731687303715884105728));
static_assert(tools::bit_ceil(UINT128_C(170141183460469231731687303715884105728)) == UINT128_C(170141183460469231731687303715884105728));
return 0;
}
#line 1 "tests/bit_ceil.test.cpp"
// competitive-verifier: STANDALONE
#include <iostream>
#include <cstdint>
#line 1 "tools/bit_ceil.hpp"
#include <bit>
#include <cassert>
#include <type_traits>
#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 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/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 10 "tools/bit_ceil.hpp"
namespace tools {
template <typename T>
constexpr T bit_ceil(T) noexcept;
template <typename T>
constexpr T bit_ceil(const T x) noexcept {
static_assert(::tools::is_integral_v<T> && !::std::is_same_v<::std::remove_cv_t<T>, bool>);
if constexpr (::tools::is_signed_v<T>) {
assert(x >= 0);
return ::tools::bit_ceil<::tools::make_unsigned_t<T>>(x);
} else {
return ::std::bit_ceil(x);
}
}
}
#line 1 "tools/int128_t.hpp"
#line 1 "tools/detail/int128_t.hpp"
#include <algorithm>
#line 6 "tools/detail/int128_t.hpp"
#include <cstddef>
#line 8 "tools/detail/int128_t.hpp"
#include <functional>
#line 10 "tools/detail/int128_t.hpp"
#include <limits>
#include <string>
#include <string_view>
#line 1 "tools/abs.hpp"
namespace tools {
constexpr float abs(const float x) {
return x < 0 ? -x : x;
}
constexpr double abs(const double x) {
return x < 0 ? -x : x;
}
constexpr long double abs(const long double x) {
return x < 0 ? -x : x;
}
constexpr int abs(const int x) {
return x < 0 ? -x : x;
}
constexpr long abs(const long x) {
return x < 0 ? -x : x;
}
constexpr long long abs(const long long x) {
return x < 0 ? -x : x;
}
constexpr unsigned int abs(const unsigned int x) {
return x;
}
constexpr unsigned long abs(const unsigned long x) {
return x;
}
constexpr unsigned long long abs(const unsigned long long x) {
return x;
}
}
#line 1 "tools/bit_floor.hpp"
#line 10 "tools/bit_floor.hpp"
namespace tools {
template <typename T>
constexpr T bit_floor(T) noexcept;
template <typename T>
constexpr T bit_floor(const T x) noexcept {
static_assert(::tools::is_integral_v<T> && !::std::is_same_v<::std::remove_cv_t<T>, bool>);
if constexpr (::tools::is_signed_v<T>) {
assert(x >= 0);
return ::tools::bit_floor<::tools::make_unsigned_t<T>>(x);
} else {
return ::std::bit_floor(x);
}
}
}
#line 1 "tools/bit_width.hpp"
#line 10 "tools/bit_width.hpp"
namespace tools {
template <typename T>
constexpr int bit_width(T) noexcept;
template <typename T>
constexpr int bit_width(const T x) noexcept {
static_assert(::tools::is_integral_v<T> && !::std::is_same_v<::std::remove_cv_t<T>, bool>);
if constexpr (::tools::is_signed_v<T>) {
assert(x >= 0);
return ::tools::bit_width<::tools::make_unsigned_t<T>>(x);
} else {
return ::std::bit_width(x);
}
}
}
#line 1 "tools/countr_zero.hpp"
#line 12 "tools/countr_zero.hpp"
namespace tools {
template <typename T>
constexpr int countr_zero(const T x) noexcept {
static_assert(::tools::is_integral_v<T> && !::std::is_same_v<::std::remove_cv_t<T>, bool>);
if constexpr (::tools::is_signed_v<T>) {
assert(x >= 0);
return ::std::min(::tools::countr_zero<::tools::make_unsigned_t<T>>(x), ::std::numeric_limits<T>::digits);
} else {
return ::std::countr_zero(x);
}
}
}
#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/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 25 "tools/detail/int128_t.hpp"
namespace tools {
using uint128_t = unsigned __int128;
using int128_t = __int128;
namespace detail {
namespace 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;
}
}
}
constexpr ::tools::uint128_t abs(const ::tools::uint128_t& x) noexcept {
return x;
}
constexpr ::tools::int128_t abs(const ::tools::int128_t& x) {
return x >= 0 ? x : -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 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;
};
#if defined(__GLIBCXX__) && defined(__STRICT_ANSI__)
template <>
constexpr ::tools::uint128_t bit_ceil<::tools::uint128_t>(::tools::uint128_t x) 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 <>
constexpr ::tools::uint128_t bit_floor<::tools::uint128_t>(::tools::uint128_t x) 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 <>
constexpr int bit_width<::tools::uint128_t>(::tools::uint128_t x) 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;
}
namespace detail {
namespace countr_zero {
template <::std::size_t N>
struct ntz_traits;
template <>
struct ntz_traits<128> {
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
};
};
template <typename T>
constexpr int impl(const T x) noexcept {
using tr = ::tools::detail::countr_zero::ntz_traits<::std::numeric_limits<T>::digits>;
using type = typename tr::type;
return tr::ntz_table[static_cast<type>(tr::magic * static_cast<type>(x & -x)) >> tr::shift];
}
}
}
template <>
constexpr int countr_zero<::tools::uint128_t>(const ::tools::uint128_t x) noexcept {
return ::tools::detail::countr_zero::impl(x);
}
#endif
}
#line 5 "tools/int128_t.hpp"
#line 1 "tools/uint128_t.hpp"
#line 5 "tools/uint128_t.hpp"
#line 8 "tests/bit_ceil.test.cpp"
int main() {
std::cin.tie(nullptr);
std::ios_base::sync_with_stdio(false);
static_assert(tools::bit_ceil(INT32_C(0)) == INT32_C(1));
static_assert(tools::bit_ceil(INT32_C(1)) == INT32_C(1));
static_assert(tools::bit_ceil(INT32_C(2)) == INT32_C(2));
static_assert(tools::bit_ceil(INT32_C(3)) == INT32_C(4));
static_assert(tools::bit_ceil(INT32_C(4)) == INT32_C(4));
static_assert(tools::bit_ceil(INT32_C(5)) == INT32_C(8));
static_assert(tools::bit_ceil(INT32_C(6)) == INT32_C(8));
static_assert(tools::bit_ceil(INT32_C(7)) == INT32_C(8));
static_assert(tools::bit_ceil(INT32_C(8)) == INT32_C(8));
static_assert(tools::bit_ceil(INT32_C(9)) == INT32_C(16));
static_assert(tools::bit_ceil(INT32_C(10)) == INT32_C(16));
static_assert(tools::bit_ceil(INT32_C(1073741823)) == INT32_C(1073741824));
static_assert(tools::bit_ceil(INT32_C(1073741824)) == INT32_C(1073741824));
static_assert(tools::bit_ceil(UINT32_C(0)) == UINT32_C(1));
static_assert(tools::bit_ceil(UINT32_C(1)) == UINT32_C(1));
static_assert(tools::bit_ceil(UINT32_C(2)) == UINT32_C(2));
static_assert(tools::bit_ceil(UINT32_C(3)) == UINT32_C(4));
static_assert(tools::bit_ceil(UINT32_C(4)) == UINT32_C(4));
static_assert(tools::bit_ceil(UINT32_C(5)) == UINT32_C(8));
static_assert(tools::bit_ceil(UINT32_C(6)) == UINT32_C(8));
static_assert(tools::bit_ceil(UINT32_C(7)) == UINT32_C(8));
static_assert(tools::bit_ceil(UINT32_C(8)) == UINT32_C(8));
static_assert(tools::bit_ceil(UINT32_C(9)) == UINT32_C(16));
static_assert(tools::bit_ceil(UINT32_C(10)) == UINT32_C(16));
static_assert(tools::bit_ceil(UINT32_C(2147483647)) == UINT32_C(2147483648));
static_assert(tools::bit_ceil(UINT32_C(2147483648)) == UINT32_C(2147483648));
static_assert(tools::bit_ceil(INT64_C(0)) == INT64_C(1));
static_assert(tools::bit_ceil(INT64_C(1)) == INT64_C(1));
static_assert(tools::bit_ceil(INT64_C(2)) == INT64_C(2));
static_assert(tools::bit_ceil(INT64_C(3)) == INT64_C(4));
static_assert(tools::bit_ceil(INT64_C(4)) == INT64_C(4));
static_assert(tools::bit_ceil(INT64_C(5)) == INT64_C(8));
static_assert(tools::bit_ceil(INT64_C(6)) == INT64_C(8));
static_assert(tools::bit_ceil(INT64_C(7)) == INT64_C(8));
static_assert(tools::bit_ceil(INT64_C(8)) == INT64_C(8));
static_assert(tools::bit_ceil(INT64_C(9)) == INT64_C(16));
static_assert(tools::bit_ceil(INT64_C(10)) == INT64_C(16));
static_assert(tools::bit_ceil(INT64_C(4611686018427387903)) == INT64_C(4611686018427387904));
static_assert(tools::bit_ceil(INT64_C(4611686018427387904)) == INT64_C(4611686018427387904));
static_assert(tools::bit_ceil(UINT64_C(0)) == UINT64_C(1));
static_assert(tools::bit_ceil(UINT64_C(1)) == UINT64_C(1));
static_assert(tools::bit_ceil(UINT64_C(2)) == UINT64_C(2));
static_assert(tools::bit_ceil(UINT64_C(3)) == UINT64_C(4));
static_assert(tools::bit_ceil(UINT64_C(4)) == UINT64_C(4));
static_assert(tools::bit_ceil(UINT64_C(5)) == UINT64_C(8));
static_assert(tools::bit_ceil(UINT64_C(6)) == UINT64_C(8));
static_assert(tools::bit_ceil(UINT64_C(7)) == UINT64_C(8));
static_assert(tools::bit_ceil(UINT64_C(8)) == UINT64_C(8));
static_assert(tools::bit_ceil(UINT64_C(9)) == UINT64_C(16));
static_assert(tools::bit_ceil(UINT64_C(10)) == UINT64_C(16));
static_assert(tools::bit_ceil(UINT64_C(9223372036854775807)) == UINT64_C(9223372036854775808));
static_assert(tools::bit_ceil(UINT64_C(9223372036854775808)) == UINT64_C(9223372036854775808));
static_assert(tools::bit_ceil(INT128_C(0)) == INT128_C(1));
static_assert(tools::bit_ceil(INT128_C(1)) == INT128_C(1));
static_assert(tools::bit_ceil(INT128_C(2)) == INT128_C(2));
static_assert(tools::bit_ceil(INT128_C(3)) == INT128_C(4));
static_assert(tools::bit_ceil(INT128_C(4)) == INT128_C(4));
static_assert(tools::bit_ceil(INT128_C(5)) == INT128_C(8));
static_assert(tools::bit_ceil(INT128_C(6)) == INT128_C(8));
static_assert(tools::bit_ceil(INT128_C(7)) == INT128_C(8));
static_assert(tools::bit_ceil(INT128_C(8)) == INT128_C(8));
static_assert(tools::bit_ceil(INT128_C(9)) == INT128_C(16));
static_assert(tools::bit_ceil(INT128_C(10)) == INT128_C(16));
static_assert(tools::bit_ceil(INT128_C(85070591730234615865843651857942052863)) == INT128_C(85070591730234615865843651857942052864));
static_assert(tools::bit_ceil(INT128_C(85070591730234615865843651857942052864)) == INT128_C(85070591730234615865843651857942052864));
static_assert(tools::bit_ceil(UINT128_C(0)) == UINT128_C(1));
static_assert(tools::bit_ceil(UINT128_C(1)) == UINT128_C(1));
static_assert(tools::bit_ceil(UINT128_C(2)) == UINT128_C(2));
static_assert(tools::bit_ceil(UINT128_C(3)) == UINT128_C(4));
static_assert(tools::bit_ceil(UINT128_C(4)) == UINT128_C(4));
static_assert(tools::bit_ceil(UINT128_C(5)) == UINT128_C(8));
static_assert(tools::bit_ceil(UINT128_C(6)) == UINT128_C(8));
static_assert(tools::bit_ceil(UINT128_C(7)) == UINT128_C(8));
static_assert(tools::bit_ceil(UINT128_C(8)) == UINT128_C(8));
static_assert(tools::bit_ceil(UINT128_C(9)) == UINT128_C(16));
static_assert(tools::bit_ceil(UINT128_C(10)) == UINT128_C(16));
static_assert(tools::bit_ceil(UINT128_C(170141183460469231731687303715884105727)) == UINT128_C(170141183460469231731687303715884105728));
static_assert(tools::bit_ceil(UINT128_C(170141183460469231731687303715884105728)) == UINT128_C(170141183460469231731687303715884105728));
return 0;
}