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1// (C) Copyright Matt Borland 2021.
2// Use, modification and distribution are subject to the
3// Boost Software License, Version 1.0. (See accompanying file
4// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
5
6#ifndef BOOST_MATH_CCMATH_FMOD_HPP
7#define BOOST_MATH_CCMATH_FMOD_HPP
8
9#include <cmath>
10#include <cstdint>
11#include <limits>
12#include <type_traits>
13#include <boost/math/tools/is_constant_evaluated.hpp>
14#include <boost/math/ccmath/abs.hpp>
15#include <boost/math/ccmath/isinf.hpp>
16#include <boost/math/ccmath/isnan.hpp>
17#include <boost/math/ccmath/isfinite.hpp>
18
19namespace boost::math::ccmath {
20
21namespace detail {
22
23template <typename ReturnType, typename T1, typename T2>
24inline constexpr ReturnType fmod_impl(T1 x, T2 y) noexcept
25{
26 if(x == y)
27 {
28 return ReturnType(0);
29 }
30 else
31 {
32 while(x >= y)
33 {
34 x -= y;
35 }
36
37 return static_cast<ReturnType>(x);
38 }
39}
40
41} // Namespace detail
42
43template <typename Real, std::enable_if_t<!std::is_integral_v<Real>, bool> = true>
44inline constexpr Real fmod(Real x, Real y) noexcept
45{
46 if(BOOST_MATH_IS_CONSTANT_EVALUATED(x))
47 {
48 return boost::math::ccmath::abs(x) == Real(0) && y != Real(0) ? x :
49 boost::math::ccmath::isinf(x) && !boost::math::ccmath::isnan(y) ? std::numeric_limits<Real>::quiet_NaN() :
50 boost::math::ccmath::abs(y) == Real(0) && !boost::math::ccmath::isnan(x) ? std::numeric_limits<Real>::quiet_NaN() :
51 boost::math::ccmath::isinf(y) && boost::math::ccmath::isfinite(x) ? x :
52 boost::math::ccmath::isnan(x) ? std::numeric_limits<Real>::quiet_NaN() :
53 boost::math::ccmath::isnan(y) ? std::numeric_limits<Real>::quiet_NaN() :
54 boost::math::ccmath::detail::fmod_impl<Real>(x, y);
55 }
56 else
57 {
58 using std::fmod;
59 return fmod(x, y);
60 }
61}
62
63template <typename T1, typename T2>
64inline constexpr auto fmod(T1 x, T2 y) noexcept
65{
66 if(BOOST_MATH_IS_CONSTANT_EVALUATED(x))
67 {
68 // If the type is an integer (e.g. epsilon == 0) then set the epsilon value to 1 so that type is at a minimum
69 // cast to double
70 constexpr auto T1p = std::numeric_limits<T1>::epsilon() > 0 ? std::numeric_limits<T1>::epsilon() : 1;
71 constexpr auto T2p = std::numeric_limits<T2>::epsilon() > 0 ? std::numeric_limits<T2>::epsilon() : 1;
72
73 using promoted_type =
74 #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
75 std::conditional_t<T1p <= LDBL_EPSILON && T1p <= T2p, T1,
76 std::conditional_t<T2p <= LDBL_EPSILON && T2p <= T1p, T2,
77 #endif
78 std::conditional_t<T1p <= DBL_EPSILON && T1p <= T2p, T1,
79 std::conditional_t<T2p <= DBL_EPSILON && T2p <= T1p, T2, double
80 #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
81 >>>>;
82 #else
83 >>;
84 #endif
85
86 return boost::math::ccmath::fmod(promoted_type(x), promoted_type(y));
87 }
88 else
89 {
90 using std::fmod;
91 return fmod(x, y);
92 }
93}
94
95inline constexpr float fmodf(float x, float y) noexcept
96{
97 return boost::math::ccmath::fmod(x, y);
98}
99
100#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
101inline constexpr long double fmodl(long double x, long double y) noexcept
102{
103 return boost::math::ccmath::fmod(x, y);
104}
105#endif
106
107} // Namespaces
108
109#endif // BOOST_MATH_CCMATH_FMOD_HPP