|
111
|
1 /* Complex cosine hyperbole function for complex __float128.
|
|
|
2 Copyright (C) 1997-2012 Free Software Foundation, Inc.
|
|
|
3 This file is part of the GNU C Library.
|
|
|
4 Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
|
|
|
5
|
|
|
6 The GNU C Library is free software; you can redistribute it and/or
|
|
|
7 modify it under the terms of the GNU Lesser General Public
|
|
|
8 License as published by the Free Software Foundation; either
|
|
|
9 version 2.1 of the License, or (at your option) any later version.
|
|
|
10
|
|
|
11 The GNU C Library is distributed in the hope that it will be useful,
|
|
|
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
|
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
|
|
14 Lesser General Public License for more details.
|
|
|
15
|
|
|
16 You should have received a copy of the GNU Lesser General Public
|
|
|
17 License along with the GNU C Library; if not, see
|
|
|
18 <http://www.gnu.org/licenses/>. */
|
|
|
19
|
|
|
20 #include "quadmath-imp.h"
|
|
|
21
|
|
|
22 #ifdef HAVE_FENV_H
|
|
|
23 # include <fenv.h>
|
|
|
24 #endif
|
|
|
25
|
|
|
26
|
|
|
27 __complex128
|
|
|
28 ccoshq (__complex128 x)
|
|
|
29 {
|
|
|
30 __complex128 retval;
|
|
|
31 int rcls = fpclassifyq (__real__ x);
|
|
|
32 int icls = fpclassifyq (__imag__ x);
|
|
|
33
|
|
|
34 if (__builtin_expect (rcls >= QUADFP_ZERO, 1))
|
|
|
35 {
|
|
|
36 /* Real part is finite. */
|
|
|
37 if (__builtin_expect (icls >= QUADFP_ZERO, 1))
|
|
|
38 {
|
|
|
39 /* Imaginary part is finite. */
|
|
|
40 const int t = (int) ((FLT128_MAX_EXP - 1) * M_LN2q);
|
|
|
41 __float128 sinix, cosix;
|
|
|
42
|
|
|
43 if (__builtin_expect (icls != QUADFP_SUBNORMAL, 1))
|
|
|
44 {
|
|
|
45 sincosq (__imag__ x, &sinix, &cosix);
|
|
|
46 }
|
|
|
47 else
|
|
|
48 {
|
|
|
49 sinix = __imag__ x;
|
|
|
50 cosix = 1.0Q;
|
|
|
51 }
|
|
|
52
|
|
|
53 if (fabsq (__real__ x) > t)
|
|
|
54 {
|
|
|
55 __float128 exp_t = expq (t);
|
|
|
56 __float128 rx = fabsq (__real__ x);
|
|
|
57 if (signbitq (__real__ x))
|
|
|
58 sinix = -sinix;
|
|
|
59 rx -= t;
|
|
|
60 sinix *= exp_t / 2.0Q;
|
|
|
61 cosix *= exp_t / 2.0Q;
|
|
|
62 if (rx > t)
|
|
|
63 {
|
|
|
64 rx -= t;
|
|
|
65 sinix *= exp_t;
|
|
|
66 cosix *= exp_t;
|
|
|
67 }
|
|
|
68 if (rx > t)
|
|
|
69 {
|
|
|
70 /* Overflow (original real part of x > 3t). */
|
|
|
71 __real__ retval = FLT128_MAX * cosix;
|
|
|
72 __imag__ retval = FLT128_MAX * sinix;
|
|
|
73 }
|
|
|
74 else
|
|
|
75 {
|
|
|
76 __float128 exp_val = expq (rx);
|
|
|
77 __real__ retval = exp_val * cosix;
|
|
|
78 __imag__ retval = exp_val * sinix;
|
|
|
79 }
|
|
|
80 }
|
|
|
81 else
|
|
|
82 {
|
|
|
83 __real__ retval = coshq (__real__ x) * cosix;
|
|
|
84 __imag__ retval = sinhq (__real__ x) * sinix;
|
|
|
85 }
|
|
|
86 }
|
|
|
87 else
|
|
|
88 {
|
|
|
89 __imag__ retval = __real__ x == 0.0Q ? 0.0Q : nanq ("");
|
|
|
90 __real__ retval = nanq ("") + nanq ("");
|
|
|
91
|
|
|
92 #ifdef HAVE_FENV_H
|
|
|
93 if (icls == QUADFP_INFINITE)
|
|
|
94 feraiseexcept (FE_INVALID);
|
|
|
95 #endif
|
|
|
96 }
|
|
|
97 }
|
|
|
98 else if (rcls == QUADFP_INFINITE)
|
|
|
99 {
|
|
|
100 /* Real part is infinite. */
|
|
|
101 if (__builtin_expect (icls > QUADFP_ZERO, 1))
|
|
|
102 {
|
|
|
103 /* Imaginary part is finite. */
|
|
|
104 __float128 sinix, cosix;
|
|
|
105
|
|
|
106 if (__builtin_expect (icls != QUADFP_SUBNORMAL, 1))
|
|
|
107 {
|
|
|
108 sincosq (__imag__ x, &sinix, &cosix);
|
|
|
109 }
|
|
|
110 else
|
|
|
111 {
|
|
|
112 sinix = __imag__ x;
|
|
|
113 cosix = 1.0Q;
|
|
|
114 }
|
|
|
115
|
|
|
116 __real__ retval = copysignq (HUGE_VALQ, cosix);
|
|
|
117 __imag__ retval = (copysignq (HUGE_VALQ, sinix)
|
|
|
118 * copysignq (1.0Q, __real__ x));
|
|
|
119 }
|
|
|
120 else if (icls == QUADFP_ZERO)
|
|
|
121 {
|
|
|
122 /* Imaginary part is 0.0. */
|
|
|
123 __real__ retval = HUGE_VALQ;
|
|
|
124 __imag__ retval = __imag__ x * copysignq (1.0Q, __real__ x);
|
|
|
125 }
|
|
|
126 else
|
|
|
127 {
|
|
|
128 /* The addition raises the invalid exception. */
|
|
|
129 __real__ retval = HUGE_VALQ;
|
|
|
130 __imag__ retval = nanq ("") + nanq ("");
|
|
|
131
|
|
|
132 #ifdef HAVE_FENV_H
|
|
|
133 if (icls == QUADFP_INFINITE)
|
|
|
134 feraiseexcept (FE_INVALID);
|
|
|
135 #endif
|
|
|
136 }
|
|
|
137 }
|
|
|
138 else
|
|
|
139 {
|
|
|
140 __real__ retval = nanq ("");
|
|
|
141 __imag__ retval = __imag__ x == 0.0 ? __imag__ x : nanq ("");
|
|
|
142 }
|
|
|
143
|
|
|
144 return retval;
|
|
|
145 }
|
