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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_LOGB_HPP
7 #define BOOST_MATH_CCMATH_LOGB_HPP
8
9 #include <cmath>
10 #include <limits>
11 #include <type_traits>
12 #include <boost/math/tools/is_constant_evaluated.hpp>
13 #include <boost/math/ccmath/frexp.hpp>
14 #include <boost/math/ccmath/isinf.hpp>
15 #include <boost/math/ccmath/isnan.hpp>
16 #include <boost/math/ccmath/abs.hpp>
17
18 namespace boost::math::ccmath {
19
20 namespace detail {
21
22 // The value of the exponent returned by std::logb is always 1 less than the exponent returned by
23 // std::frexp because of the different normalization requirements: for the exponent e returned by std::logb,
24 // |arg*r^-e| is between 1 and r (typically between 1 and 2), but for the exponent e returned by std::frexp,
25 // |arg*2^-e| is between 0.5 and 1.
26 template <typename T>
27 inline constexpr T logb_impl(T arg) noexcept
28 {
29 int exp = 0;
30 boost::math::ccmath::frexp(arg, &exp);
31
32 return exp - 1;
33 }
34
35 } // Namespace detail
36
37 template <typename Real, std::enable_if_t<!std::is_integral_v<Real>, bool> = true>
38 inline constexpr Real logb(Real arg) noexcept
39 {
40 if(BOOST_MATH_IS_CONSTANT_EVALUATED(arg))
41 {
42 return boost::math::ccmath::abs(arg) == Real(0) ? -std::numeric_limits<Real>::infinity() :
43 boost::math::ccmath::isinf(arg) ? std::numeric_limits<Real>::infinity() :
44 boost::math::ccmath::isnan(arg) ? std::numeric_limits<Real>::quiet_NaN() :
45 boost::math::ccmath::detail::logb_impl(arg);
46 }
47 else
48 {
49 using std::logb;
50 return logb(arg);
51 }
52 }
53
54 template <typename Z, std::enable_if_t<std::is_integral_v<Z>, bool> = true>
55 inline constexpr double logb(Z arg) noexcept
56 {
57 return boost::math::ccmath::logb(static_cast<double>(arg));
58 }
59
60 inline constexpr float logbf(float arg) noexcept
61 {
62 return boost::math::ccmath::logb(arg);
63 }
64
65 #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
66 inline constexpr long double logbl(long double arg) noexcept
67 {
68 return boost::math::ccmath::logb(arg);
69 }
70 #endif
71
72 } // Namespaces
73
74 #endif // BOOST_MATH_CCMATH_LOGB_HPP