1*e4b17023SJohn Marino // Special functions -*- C++ -*-
2*e4b17023SJohn Marino
3*e4b17023SJohn Marino // Copyright (C) 2006, 2009, 2010
4*e4b17023SJohn Marino // Free Software Foundation, Inc.
5*e4b17023SJohn Marino //
6*e4b17023SJohn Marino // This file is part of the GNU ISO C++ Library. This library is free
7*e4b17023SJohn Marino // software; you can redistribute it and/or modify it under the
8*e4b17023SJohn Marino // terms of the GNU General Public License as published by the
9*e4b17023SJohn Marino // Free Software Foundation; either version 3, or (at your option)
10*e4b17023SJohn Marino // any later version.
11*e4b17023SJohn Marino
12*e4b17023SJohn Marino // This library is distributed in the hope that it will be useful,
13*e4b17023SJohn Marino // but WITHOUT ANY WARRANTY; without even the implied warranty of
14*e4b17023SJohn Marino // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15*e4b17023SJohn Marino // GNU General Public License for more details.
16*e4b17023SJohn Marino
17*e4b17023SJohn Marino // Under Section 7 of GPL version 3, you are granted additional
18*e4b17023SJohn Marino // permissions described in the GCC Runtime Library Exception, version
19*e4b17023SJohn Marino // 3.1, as published by the Free Software Foundation.
20*e4b17023SJohn Marino
21*e4b17023SJohn Marino // You should have received a copy of the GNU General Public License and
22*e4b17023SJohn Marino // a copy of the GCC Runtime Library Exception along with this program;
23*e4b17023SJohn Marino // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
24*e4b17023SJohn Marino // <http://www.gnu.org/licenses/>.
25*e4b17023SJohn Marino
26*e4b17023SJohn Marino /** @file tr1/special_function_util.h
27*e4b17023SJohn Marino * This is an internal header file, included by other library headers.
28*e4b17023SJohn Marino * Do not attempt to use it directly. @headername{tr1/cmath}
29*e4b17023SJohn Marino */
30*e4b17023SJohn Marino
31*e4b17023SJohn Marino //
32*e4b17023SJohn Marino // ISO C++ 14882 TR1: 5.2 Special functions
33*e4b17023SJohn Marino //
34*e4b17023SJohn Marino
35*e4b17023SJohn Marino // Written by Edward Smith-Rowland based on numerous mathematics books.
36*e4b17023SJohn Marino
37*e4b17023SJohn Marino #ifndef _GLIBCXX_TR1_SPECIAL_FUNCTION_UTIL_H
38*e4b17023SJohn Marino #define _GLIBCXX_TR1_SPECIAL_FUNCTION_UTIL_H 1
39*e4b17023SJohn Marino
_GLIBCXX_VISIBILITY(default)40*e4b17023SJohn Marino namespace std _GLIBCXX_VISIBILITY(default)
41*e4b17023SJohn Marino {
42*e4b17023SJohn Marino namespace tr1
43*e4b17023SJohn Marino {
44*e4b17023SJohn Marino namespace __detail
45*e4b17023SJohn Marino {
46*e4b17023SJohn Marino _GLIBCXX_BEGIN_NAMESPACE_VERSION
47*e4b17023SJohn Marino
48*e4b17023SJohn Marino /// A class to encapsulate type dependent floating point
49*e4b17023SJohn Marino /// constants. Not everything will be able to be expressed as
50*e4b17023SJohn Marino /// type logic.
51*e4b17023SJohn Marino template<typename _Tp>
52*e4b17023SJohn Marino struct __floating_point_constant
53*e4b17023SJohn Marino {
54*e4b17023SJohn Marino static const _Tp __value;
55*e4b17023SJohn Marino };
56*e4b17023SJohn Marino
57*e4b17023SJohn Marino
58*e4b17023SJohn Marino /// A structure for numeric constants.
59*e4b17023SJohn Marino template<typename _Tp>
60*e4b17023SJohn Marino struct __numeric_constants
61*e4b17023SJohn Marino {
62*e4b17023SJohn Marino /// Constant @f$ \pi @f$.
63*e4b17023SJohn Marino static _Tp __pi() throw()
64*e4b17023SJohn Marino { return static_cast<_Tp>(3.1415926535897932384626433832795029L); }
65*e4b17023SJohn Marino /// Constant @f$ \pi / 2 @f$.
66*e4b17023SJohn Marino static _Tp __pi_2() throw()
67*e4b17023SJohn Marino { return static_cast<_Tp>(1.5707963267948966192313216916397514L); }
68*e4b17023SJohn Marino /// Constant @f$ \pi / 3 @f$.
69*e4b17023SJohn Marino static _Tp __pi_3() throw()
70*e4b17023SJohn Marino { return static_cast<_Tp>(1.0471975511965977461542144610931676L); }
71*e4b17023SJohn Marino /// Constant @f$ \pi / 4 @f$.
72*e4b17023SJohn Marino static _Tp __pi_4() throw()
73*e4b17023SJohn Marino { return static_cast<_Tp>(0.7853981633974483096156608458198757L); }
74*e4b17023SJohn Marino /// Constant @f$ 1 / \pi @f$.
75*e4b17023SJohn Marino static _Tp __1_pi() throw()
76*e4b17023SJohn Marino { return static_cast<_Tp>(0.3183098861837906715377675267450287L); }
77*e4b17023SJohn Marino /// Constant @f$ 2 / \sqrt(\pi) @f$.
78*e4b17023SJohn Marino static _Tp __2_sqrtpi() throw()
79*e4b17023SJohn Marino { return static_cast<_Tp>(1.1283791670955125738961589031215452L); }
80*e4b17023SJohn Marino /// Constant @f$ \sqrt(2) @f$.
81*e4b17023SJohn Marino static _Tp __sqrt2() throw()
82*e4b17023SJohn Marino { return static_cast<_Tp>(1.4142135623730950488016887242096981L); }
83*e4b17023SJohn Marino /// Constant @f$ \sqrt(3) @f$.
84*e4b17023SJohn Marino static _Tp __sqrt3() throw()
85*e4b17023SJohn Marino { return static_cast<_Tp>(1.7320508075688772935274463415058723L); }
86*e4b17023SJohn Marino /// Constant @f$ \sqrt(\pi/2) @f$.
87*e4b17023SJohn Marino static _Tp __sqrtpio2() throw()
88*e4b17023SJohn Marino { return static_cast<_Tp>(1.2533141373155002512078826424055226L); }
89*e4b17023SJohn Marino /// Constant @f$ 1 / sqrt(2) @f$.
90*e4b17023SJohn Marino static _Tp __sqrt1_2() throw()
91*e4b17023SJohn Marino { return static_cast<_Tp>(0.7071067811865475244008443621048490L); }
92*e4b17023SJohn Marino /// Constant @f$ \log(\pi) @f$.
93*e4b17023SJohn Marino static _Tp __lnpi() throw()
94*e4b17023SJohn Marino { return static_cast<_Tp>(1.1447298858494001741434273513530587L); }
95*e4b17023SJohn Marino /// Constant Euler's constant @f$ \gamma_E @f$.
96*e4b17023SJohn Marino static _Tp __gamma_e() throw()
97*e4b17023SJohn Marino { return static_cast<_Tp>(0.5772156649015328606065120900824024L); }
98*e4b17023SJohn Marino /// Constant Euler-Mascheroni @f$ e @f$
99*e4b17023SJohn Marino static _Tp __euler() throw()
100*e4b17023SJohn Marino { return static_cast<_Tp>(2.7182818284590452353602874713526625L); }
101*e4b17023SJohn Marino };
102*e4b17023SJohn Marino
103*e4b17023SJohn Marino
104*e4b17023SJohn Marino #if _GLIBCXX_USE_C99_MATH && !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC
105*e4b17023SJohn Marino
106*e4b17023SJohn Marino /// This is a wrapper for the isnan function. Otherwise, for NaN,
107*e4b17023SJohn Marino /// all comparisons result in false. If/when we build a std::isnan
108*e4b17023SJohn Marino /// out of intrinsics, this will disappear completely in favor of
109*e4b17023SJohn Marino /// std::isnan.
110*e4b17023SJohn Marino template<typename _Tp>
111*e4b17023SJohn Marino inline bool __isnan(const _Tp __x)
112*e4b17023SJohn Marino {
113*e4b17023SJohn Marino return std::isnan(__x);
114*e4b17023SJohn Marino }
115*e4b17023SJohn Marino
116*e4b17023SJohn Marino #else
117*e4b17023SJohn Marino
118*e4b17023SJohn Marino template<typename _Tp>
119*e4b17023SJohn Marino inline bool __isnan(const _Tp __x)
120*e4b17023SJohn Marino {
121*e4b17023SJohn Marino return __builtin_isnan(__x);
122*e4b17023SJohn Marino }
123*e4b17023SJohn Marino
124*e4b17023SJohn Marino template<>
125*e4b17023SJohn Marino inline bool __isnan<float>(const float __x)
126*e4b17023SJohn Marino {
127*e4b17023SJohn Marino return __builtin_isnanf(__x);
128*e4b17023SJohn Marino }
129*e4b17023SJohn Marino
130*e4b17023SJohn Marino template<>
131*e4b17023SJohn Marino inline bool __isnan<long double>(const long double __x)
132*e4b17023SJohn Marino {
133*e4b17023SJohn Marino return __builtin_isnanl(__x);
134*e4b17023SJohn Marino }
135*e4b17023SJohn Marino
136*e4b17023SJohn Marino #endif
137*e4b17023SJohn Marino
138*e4b17023SJohn Marino _GLIBCXX_END_NAMESPACE_VERSION
139*e4b17023SJohn Marino } // namespace __detail
140*e4b17023SJohn Marino }
141*e4b17023SJohn Marino }
142*e4b17023SJohn Marino
143*e4b17023SJohn Marino #endif // _GLIBCXX_TR1_SPECIAL_FUNCTION_UTIL_H
144*e4b17023SJohn Marino
145