1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
|
/*
* Copyright (c) 1999
* Silicon Graphics Computer Systems, Inc.
*
* Copyright (c) 1999
* Boris Fomitchev
*
* This material is provided "as is", with absolutely no warranty expressed
* or implied. Any use is at your own risk.
*
* Permission to use or copy this software for any purpose is hereby granted
* without fee, provided the above notices are retained on all copies.
* Permission to modify the code and to distribute modified code is granted,
* provided the above notices are retained, and a notice that the code was
* modified is included with the above copyright notice.
*
*/
#include "stlport_prefix.h"
// Trigonometric and hyperbolic functions for complex<float>,
// complex<double>, and complex<long double>
#include <complex>
#include <cfloat>
#include <cmath>
_STLP_BEGIN_NAMESPACE
//----------------------------------------------------------------------
// helpers
#if defined (__sgi)
static const union { unsigned int i; float f; } float_ulimit = { 0x42b2d4fc };
static const float float_limit = float_ulimit.f;
static union {
struct { unsigned int h; unsigned int l; } w;
double d;
} double_ulimit = { 0x408633ce, 0x8fb9f87d };
static const double double_limit = double_ulimit.d;
static union {
struct { unsigned int h[2]; unsigned int l[2]; } w;
long double ld;
} ldouble_ulimit = {0x408633ce, 0x8fb9f87e, 0xbd23b659, 0x4e9bd8b1};
# if !defined (_STLP_NO_LONG_DOUBLE)
# define ldouble_limit ldouble_ulimit.ld
# endif
#else
# if defined (M_LN2) && defined (FLT_MAX_EXP)
static const float float_limit = float(M_LN2 * FLT_MAX_EXP);
static const double double_limit = M_LN2 * DBL_MAX_EXP;
# else
static const float float_limit = ::log(FLT_MAX);
static const double double_limit = ::log(DBL_MAX);
# endif
# if !defined (_STLP_NO_LONG_DOUBLE)
# if defined (M_LN2l)
# define ldouble_limit (M_LN2l * LDBL_MAX_EXP)
# else
# define ldouble_limit ::log(LDBL_MAX)
# endif
# endif
#endif
//----------------------------------------------------------------------
// sin
template <class _Tp>
static complex<_Tp> sinT(const complex<_Tp>& z) {
return complex<_Tp>(::sin(z._M_re) * ::cosh(z._M_im),
::cos(z._M_re) * ::sinh(z._M_im));
}
_STLP_DECLSPEC complex<float> _STLP_CALL sin(const complex<float>& z)
{ return sinT(z); }
_STLP_DECLSPEC complex<double> _STLP_CALL sin(const complex<double>& z)
{ return sinT(z); }
#if !defined (_STLP_NO_LONG_DOUBLE)
_STLP_DECLSPEC complex<long double> _STLP_CALL sin(const complex<long double>& z)
{ return sinT(z); }
#endif
//----------------------------------------------------------------------
// cos
template <class _Tp>
static complex<_Tp> cosT(const complex<_Tp>& z) {
return complex<_Tp>(::cos(z._M_re) * ::cosh(z._M_im),
-::sin(z._M_re) * ::sinh(z._M_im));
}
_STLP_DECLSPEC complex<float> _STLP_CALL cos(const complex<float>& z)
{ return cosT(z); }
_STLP_DECLSPEC complex<double> _STLP_CALL cos(const complex<double>& z)
{ return cosT(z); }
#if !defined (_STLP_NO_LONG_DOUBLE)
_STLP_DECLSPEC complex<long double> _STLP_CALL cos(const complex<long double>& z)
{ return cosT(z); }
#endif
//----------------------------------------------------------------------
// tan
template <class _Tp>
static complex<_Tp> tanT(const complex<_Tp>& z, const _Tp& Tp_limit) {
_Tp re2 = 2.f * z._M_re;
_Tp im2 = 2.f * z._M_im;
if (::abs(im2) > Tp_limit)
return complex<_Tp>(0.f, (im2 > 0 ? 1.f : -1.f));
else {
_Tp den = ::cos(re2) + ::cosh(im2);
return complex<_Tp>(::sin(re2) / den, ::sinh(im2) / den);
}
}
_STLP_DECLSPEC complex<float> _STLP_CALL tan(const complex<float>& z)
{ return tanT(z, float_limit); }
_STLP_DECLSPEC complex<double> _STLP_CALL tan(const complex<double>& z)
{ return tanT(z, double_limit); }
#if !defined (_STLP_NO_LONG_DOUBLE)
_STLP_DECLSPEC complex<long double> _STLP_CALL tan(const complex<long double>& z)
{ return tanT(z, ldouble_limit); }
#endif
//----------------------------------------------------------------------
// sinh
template <class _Tp>
static complex<_Tp> sinhT(const complex<_Tp>& z) {
return complex<_Tp>(::sinh(z._M_re) * ::cos(z._M_im),
::cosh(z._M_re) * ::sin(z._M_im));
}
_STLP_DECLSPEC complex<float> _STLP_CALL sinh(const complex<float>& z)
{ return sinhT(z); }
_STLP_DECLSPEC complex<double> _STLP_CALL sinh(const complex<double>& z)
{ return sinhT(z); }
#if !defined (_STLP_NO_LONG_DOUBLE)
_STLP_DECLSPEC complex<long double> _STLP_CALL sinh(const complex<long double>& z)
{ return sinhT(z); }
#endif
//----------------------------------------------------------------------
// cosh
template <class _Tp>
static complex<_Tp> coshT(const complex<_Tp>& z) {
return complex<_Tp>(::cosh(z._M_re) * ::cos(z._M_im),
::sinh(z._M_re) * ::sin(z._M_im));
}
_STLP_DECLSPEC complex<float> _STLP_CALL cosh(const complex<float>& z)
{ return coshT(z); }
_STLP_DECLSPEC complex<double> _STLP_CALL cosh(const complex<double>& z)
{ return coshT(z); }
#if !defined (_STLP_NO_LONG_DOUBLE)
_STLP_DECLSPEC complex<long double> _STLP_CALL cosh(const complex<long double>& z)
{ return coshT(z); }
#endif
//----------------------------------------------------------------------
// tanh
template <class _Tp>
static complex<_Tp> tanhT(const complex<_Tp>& z, const _Tp& Tp_limit) {
_Tp re2 = 2.f * z._M_re;
_Tp im2 = 2.f * z._M_im;
if (::abs(re2) > Tp_limit)
return complex<_Tp>((re2 > 0 ? 1.f : -1.f), 0.f);
else {
_Tp den = ::cosh(re2) + ::cos(im2);
return complex<_Tp>(::sinh(re2) / den, ::sin(im2) / den);
}
}
_STLP_DECLSPEC complex<float> _STLP_CALL tanh(const complex<float>& z)
{ return tanhT(z, float_limit); }
_STLP_DECLSPEC complex<double> _STLP_CALL tanh(const complex<double>& z)
{ return tanhT(z, double_limit); }
#if !defined (_STLP_NO_LONG_DOUBLE)
_STLP_DECLSPEC complex<long double> _STLP_CALL tanh(const complex<long double>& z)
{ return tanhT(z, ldouble_limit); }
#endif
_STLP_END_NAMESPACE
|
