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1 // (C) Copyright John Maddock 2005.
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_COMPLEX_DETAILS_INCLUDED
7 #define BOOST_MATH_COMPLEX_DETAILS_INCLUDED
8 //
9 // This header contains all the support code that is common to the
10 // inverse trig complex functions, it also contains all the includes
11 // that we need to implement all these functions.
12 //
13
14 #include <cmath>
15 #include <complex>
16 #include <limits>
17 #include <boost/math/special_functions/sign.hpp>
18 #include <boost/math/special_functions/fpclassify.hpp>
19 #include <boost/math/special_functions/sign.hpp>
20 #include <boost/math/constants/constants.hpp>
21
22 namespace boost{ namespace math{ namespace detail{
23
24 template <class T>
25 inline T mult_minus_one(const T& t)
26 {
27 return (boost::math::isnan)(t) ? t : (boost::math::changesign)(t);
28 }
29
30 template <class T>
31 inline std::complex<T> mult_i(const std::complex<T>& t)
32 {
33 return std::complex<T>(mult_minus_one(t.imag()), t.real());
34 }
35
36 template <class T>
37 inline std::complex<T> mult_minus_i(const std::complex<T>& t)
38 {
39 return std::complex<T>(t.imag(), mult_minus_one(t.real()));
40 }
41
42 template <class T>
43 inline T safe_max(T t)
44 {
45 return std::sqrt((std::numeric_limits<T>::max)()) / t;
46 }
47 inline long double safe_max(long double t)
48 {
49 // long double sqrt often returns infinity due to
50 // insufficient internal precision:
51 return std::sqrt((std::numeric_limits<double>::max)()) / t;
52 }
53
54 template <class T>
55 inline T safe_min(T t)
56 {
57 return std::sqrt((std::numeric_limits<T>::min)()) * t;
58 }
59 inline long double safe_min(long double t)
60 {
61 // long double sqrt often returns zero due to
62 // insufficient internal precision:
63 return std::sqrt((std::numeric_limits<double>::min)()) * t;
64 }
65
66 } } } // namespaces
67
68 #endif // BOOST_MATH_COMPLEX_DETAILS_INCLUDED
69