1 // <experimental/numeric> -*- C++ -*-
3 // Copyright (C) 2015-2022 Free Software Foundation, Inc.
5 // This file is part of the GNU ISO C++ Library. This library is free
6 // software; you can redistribute it and/or modify it under the
7 // terms of the GNU General Public License as published by the
8 // Free Software Foundation; either version 3, or (at your option)
11 // This library is distributed in the hope that it will be useful,
12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14 // GNU General Public License for more details.
16 // Under Section 7 of GPL version 3, you are granted additional
17 // permissions described in the GCC Runtime Library Exception, version
18 // 3.1, as published by the Free Software Foundation.
20 // You should have received a copy of the GNU General Public License and
21 // a copy of the GCC Runtime Library Exception along with this program;
22 // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
23 // <http://www.gnu.org/licenses/>.
25 /** @file experimental/numeric
26 * This is a TS C++ Library header.
31 // N4336 Working Draft, C++ Extensions for Library Fundamentals, Version 2
34 #ifndef _GLIBCXX_EXPERIMENTAL_NUMERIC
35 #define _GLIBCXX_EXPERIMENTAL_NUMERIC 1
37 #pragma GCC system_header
39 #if __cplusplus >= 201402L
42 #include <experimental/type_traits>
44 namespace std _GLIBCXX_VISIBILITY(default)
46 _GLIBCXX_BEGIN_NAMESPACE_VERSION
48 namespace experimental
50 inline namespace fundamentals_v2
52 #define __cpp_lib_experimental_gcd_lcm 201411
54 /// Greatest common divisor
55 template<typename _Mn, typename _Nn>
56 constexpr common_type_t<_Mn, _Nn>
57 gcd(_Mn __m, _Nn __n) noexcept
59 static_assert(is_integral_v<_Mn> && is_integral_v<_Nn>,
60 "std::experimental::gcd arguments must be integers");
61 static_assert(_Mn(2) == 2 && _Nn(2) == 2,
62 "std::experimental::gcd arguments must not be bool");
63 namespace __detail = std::__detail;
64 using _Ct = common_type_t<_Mn, _Nn>;
65 const _Ct __m2 = __detail::__abs_r<_Ct>(__m);
66 const _Ct __n2 = __detail::__abs_r<_Ct>(__n);
67 return __detail::__gcd<make_unsigned_t<_Ct>>(__m2, __n2);
70 /// Least common multiple
71 template<typename _Mn, typename _Nn>
72 constexpr common_type_t<_Mn, _Nn>
75 static_assert(is_integral_v<_Mn> && is_integral_v<_Nn>,
76 "std::experimental::lcm arguments must be integers");
77 static_assert(_Mn(2) == 2 && _Nn(2) == 2,
78 "std::experimental::lcm arguments must not be bool");
79 namespace __detail = std::__detail;
80 using _Ct = common_type_t<_Mn, _Nn>;
81 const _Ct __m2 = __detail::__abs_r<_Ct>(__m);
82 const _Ct __n2 = __detail::__abs_r<_Ct>(__n);
83 if (__m2 == 0 || __n2 == 0)
85 _Ct __r = __m2 / __detail::__gcd<make_unsigned_t<_Ct>>(__m2, __n2);
87 if _GLIBCXX17_CONSTEXPR (is_signed_v<_Ct>)
88 if (__is_constant_evaluated())
89 return __r * __n2; // constant evaluation can detect overflow here.
91 bool __overflow = __builtin_mul_overflow(__r, __n2, &__r);
92 __glibcxx_assert(!__overflow);
95 } // namespace fundamentals_v2
96 } // namespace experimental
98 _GLIBCXX_END_NAMESPACE_VERSION
101 #endif // __cplusplus <= 201103L
103 #endif // _GLIBCXX_EXPERIMENTAL_NUMERIC