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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#include <boost/config.hpp>
14#include <boost/detail/workaround.hpp>
15#include <boost/config/no_tr1/complex.hpp>
16#include <boost/limits.hpp>
17#include <math.h> // isnan where available
18#include <boost/config/no_tr1/cmath.hpp>
19#include <boost/math/special_functions/sign.hpp>
20#include <boost/math/special_functions/fpclassify.hpp>
21#include <boost/math/special_functions/sign.hpp>
22#include <boost/math/constants/constants.hpp>
23
24#ifdef BOOST_NO_STDC_NAMESPACE
25namespace std{ using ::sqrt; }
26#endif
27
28namespace boost{ namespace math{ namespace detail{
29
30template <class T>
31inline T mult_minus_one(const T& t)
32{
33 return (boost::math::isnan)(t) ? t : (boost::math::changesign)(t);
34}
35
36template <class T>
37inline std::complex<T> mult_i(const std::complex<T>& t)
38{
39 return std::complex<T>(mult_minus_one(t.imag()), t.real());
40}
41
42template <class T>
43inline std::complex<T> mult_minus_i(const std::complex<T>& t)
44{
45 return std::complex<T>(t.imag(), mult_minus_one(t.real()));
46}
47
48template <class T>
49inline T safe_max(T t)
50{
51 return std::sqrt((std::numeric_limits<T>::max)()) / t;
52}
53inline long double safe_max(long double t)
54{
55 // long double sqrt often returns infinity due to
56 // insufficient internal precision:
57 return std::sqrt((std::numeric_limits<double>::max)()) / t;
58}
59#if BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x564))
60// workaround for type deduction bug:
61inline float safe_max(float t)
62{
63 return std::sqrt((std::numeric_limits<float>::max)()) / t;
64}
65inline double safe_max(double t)
66{
67 return std::sqrt((std::numeric_limits<double>::max)()) / t;
68}
69#endif
70template <class T>
71inline T safe_min(T t)
72{
73 return std::sqrt((std::numeric_limits<T>::min)()) * t;
74}
75inline long double safe_min(long double t)
76{
77 // long double sqrt often returns zero due to
78 // insufficient internal precision:
79 return std::sqrt((std::numeric_limits<double>::min)()) * t;
80}
81#if BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x564))
82// type deduction workaround:
83inline double safe_min(double t)
84{
85 return std::sqrt((std::numeric_limits<double>::min)()) * t;
86}
87inline float safe_min(float t)
88{
89 return std::sqrt((std::numeric_limits<float>::min)()) * t;
90}
91#endif
92
93} } } // namespaces
94
95#endif // BOOST_MATH_COMPLEX_DETAILS_INCLUDED
96