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4a2f7ea2 | 1 | /* Complex sine function for complex __float128. |
92920cc6 | 2 | Copyright (C) 1997-2012 Free Software Foundation, Inc. |
4a2f7ea2 | 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 | csinq (__complex128 x) | |
29 | { | |
30 | __complex128 retval; | |
31 | int negate = signbitq (__real__ x); | |
32 | int rcls = fpclassifyq (__real__ x); | |
33 | int icls = fpclassifyq (__imag__ x); | |
34 | ||
35 | __real__ x = fabsq (__real__ x); | |
36 | ||
37 | if (__builtin_expect (icls >= QUADFP_ZERO, 1)) | |
38 | { | |
39 | /* Imaginary part is finite. */ | |
40 | if (__builtin_expect (rcls >= QUADFP_ZERO, 1)) | |
41 | { | |
42 | /* Real part is finite. */ | |
43 | const int t = (int) ((FLT128_MAX_EXP - 1) * M_LN2q); | |
44 | __float128 sinix, cosix; | |
45 | ||
46 | if (__builtin_expect (rcls != QUADFP_SUBNORMAL, 1)) | |
47 | { | |
48 | sincosq (__real__ x, &sinix, &cosix); | |
49 | } | |
50 | else | |
51 | { | |
52 | sinix = __real__ x; | |
53 | cosix = 1.0Q; | |
54 | } | |
55 | ||
56 | if (fabsq (__imag__ x) > t) | |
57 | { | |
58 | __float128 exp_t = expq (t); | |
59 | __float128 ix = fabsq (__imag__ x); | |
60 | if (signbitq (__imag__ x)) | |
61 | cosix = -cosix; | |
62 | ix -= t; | |
63 | sinix *= exp_t / 2.0Q; | |
64 | cosix *= exp_t / 2.0Q; | |
65 | if (ix > t) | |
66 | { | |
67 | ix -= t; | |
68 | sinix *= exp_t; | |
69 | cosix *= exp_t; | |
70 | } | |
71 | if (ix > t) | |
72 | { | |
73 | /* Overflow (original imaginary part of x > 3t). */ | |
74 | __real__ retval = FLT128_MAX * sinix; | |
75 | __imag__ retval = FLT128_MAX * cosix; | |
76 | } | |
77 | else | |
78 | { | |
79 | __float128 exp_val = expq (ix); | |
80 | __real__ retval = exp_val * sinix; | |
81 | __imag__ retval = exp_val * cosix; | |
82 | } | |
83 | } | |
84 | else | |
85 | { | |
86 | __real__ retval = coshq (__imag__ x) * sinix; | |
87 | __imag__ retval = sinhq (__imag__ x) * cosix; | |
88 | } | |
89 | ||
90 | if (negate) | |
91 | __real__ retval = -__real__ retval; | |
92 | } | |
93 | else | |
94 | { | |
95 | if (icls == QUADFP_ZERO) | |
96 | { | |
97 | /* Imaginary part is 0.0. */ | |
98 | __real__ retval = nanq (""); | |
99 | __imag__ retval = __imag__ x; | |
100 | ||
101 | #ifdef HAVE_FENV_H | |
102 | if (rcls == QUADFP_INFINITE) | |
103 | feraiseexcept (FE_INVALID); | |
104 | #endif | |
105 | } | |
106 | else | |
107 | { | |
108 | __real__ retval = nanq (""); | |
109 | __imag__ retval = nanq (""); | |
110 | ||
111 | #ifdef HAVE_FENV_H | |
112 | feraiseexcept (FE_INVALID); | |
113 | #endif | |
114 | } | |
115 | } | |
116 | } | |
117 | else if (icls == QUADFP_INFINITE) | |
118 | { | |
119 | /* Imaginary part is infinite. */ | |
120 | if (rcls == QUADFP_ZERO) | |
121 | { | |
122 | /* Real part is 0.0. */ | |
123 | __real__ retval = copysignq (0.0Q, negate ? -1.0Q : 1.0Q); | |
124 | __imag__ retval = __imag__ x; | |
125 | } | |
126 | else if (rcls > QUADFP_ZERO) | |
127 | { | |
128 | /* Real part is finite. */ | |
129 | __float128 sinix, cosix; | |
130 | ||
131 | if (__builtin_expect (rcls != QUADFP_SUBNORMAL, 1)) | |
132 | { | |
133 | sincosq (__real__ x, &sinix, &cosix); | |
134 | } | |
135 | else | |
136 | { | |
137 | sinix = __real__ x; | |
138 | cosix = 1.0; | |
139 | } | |
140 | ||
141 | __real__ retval = copysignq (HUGE_VALQ, sinix); | |
142 | __imag__ retval = copysignq (HUGE_VALQ, cosix); | |
143 | ||
144 | if (negate) | |
145 | __real__ retval = -__real__ retval; | |
146 | if (signbitq (__imag__ x)) | |
147 | __imag__ retval = -__imag__ retval; | |
148 | } | |
149 | else | |
150 | { | |
151 | /* The addition raises the invalid exception. */ | |
152 | __real__ retval = nanq (""); | |
153 | __imag__ retval = HUGE_VALQ; | |
154 | ||
155 | #ifdef HAVE_FENV_H | |
156 | if (rcls == QUADFP_INFINITE) | |
157 | feraiseexcept (FE_INVALID); | |
158 | #endif | |
159 | } | |
160 | } | |
161 | else | |
162 | { | |
163 | if (rcls == QUADFP_ZERO) | |
164 | __real__ retval = copysignq (0.0Q, negate ? -1.0Q : 1.0Q); | |
165 | else | |
166 | __real__ retval = nanq (""); | |
167 | __imag__ retval = nanq (""); | |
168 | } | |
169 | ||
170 | return retval; | |
171 | } |