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993b3242 | 1 | /* Complex sine hyperbole function for long double. |
b168057a | 2 | Copyright (C) 1997-2015 Free Software Foundation, Inc. |
993b3242 UD |
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 | |
41bdb6e2 AJ |
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. | |
993b3242 UD |
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 | |
41bdb6e2 | 14 | Lesser General Public License for more details. |
993b3242 | 15 | |
41bdb6e2 | 16 | You should have received a copy of the GNU Lesser General Public |
59ba27a6 PE |
17 | License along with the GNU C Library; if not, see |
18 | <http://www.gnu.org/licenses/>. */ | |
993b3242 UD |
19 | |
20 | #include <complex.h> | |
40a55d20 | 21 | #include <fenv.h> |
993b3242 | 22 | #include <math.h> |
9277c064 | 23 | #include <math_private.h> |
e0b16cc2 | 24 | #include <float.h> |
993b3242 UD |
25 | |
26 | __complex__ long double | |
27 | __csinhl (__complex__ long double x) | |
28 | { | |
29 | __complex__ long double retval; | |
30 | int negate = signbit (__real__ x); | |
63551311 UD |
31 | int rcls = fpclassify (__real__ x); |
32 | int icls = fpclassify (__imag__ x); | |
993b3242 | 33 | |
63551311 | 34 | __real__ x = fabsl (__real__ x); |
993b3242 | 35 | |
a1ffb40e | 36 | if (__glibc_likely (rcls >= FP_ZERO)) |
993b3242 | 37 | { |
63551311 | 38 | /* Real part is finite. */ |
a1ffb40e | 39 | if (__glibc_likely (icls >= FP_ZERO)) |
993b3242 | 40 | { |
63551311 | 41 | /* Imaginary part is finite. */ |
e0b16cc2 | 42 | const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l); |
7799b7b3 | 43 | long double sinix, cosix; |
993b3242 | 44 | |
a1ffb40e | 45 | if (__glibc_likely (icls != FP_SUBNORMAL)) |
6d3bf199 LD |
46 | { |
47 | __sincosl (__imag__ x, &sinix, &cosix); | |
48 | } | |
49 | else | |
50 | { | |
51 | sinix = __imag__ x; | |
52 | cosix = 1.0; | |
53 | } | |
7799b7b3 | 54 | |
e0b16cc2 JM |
55 | if (fabsl (__real__ x) > t) |
56 | { | |
57 | long double exp_t = __ieee754_expl (t); | |
58 | long double rx = fabsl (__real__ x); | |
59 | if (signbit (__real__ x)) | |
60 | cosix = -cosix; | |
61 | rx -= t; | |
62 | sinix *= exp_t / 2.0L; | |
63 | cosix *= exp_t / 2.0L; | |
64 | if (rx > t) | |
65 | { | |
66 | rx -= t; | |
67 | sinix *= exp_t; | |
68 | cosix *= exp_t; | |
69 | } | |
70 | if (rx > t) | |
71 | { | |
72 | /* Overflow (original real part of x > 3t). */ | |
73 | __real__ retval = LDBL_MAX * cosix; | |
74 | __imag__ retval = LDBL_MAX * sinix; | |
75 | } | |
76 | else | |
77 | { | |
78 | long double exp_val = __ieee754_expl (rx); | |
79 | __real__ retval = exp_val * cosix; | |
80 | __imag__ retval = exp_val * sinix; | |
81 | } | |
82 | } | |
83 | else | |
84 | { | |
85 | __real__ retval = __ieee754_sinhl (__real__ x) * cosix; | |
86 | __imag__ retval = __ieee754_coshl (__real__ x) * sinix; | |
87 | } | |
993b3242 UD |
88 | |
89 | if (negate) | |
90 | __real__ retval = -__real__ retval; | |
f0302940 JM |
91 | |
92 | if (fabsl (__real__ retval) < LDBL_MIN) | |
93 | { | |
94 | volatile long double force_underflow | |
95 | = __real__ retval * __real__ retval; | |
96 | (void) force_underflow; | |
97 | } | |
98 | if (fabsl (__imag__ retval) < LDBL_MIN) | |
99 | { | |
100 | volatile long double force_underflow | |
101 | = __imag__ retval * __imag__ retval; | |
102 | (void) force_underflow; | |
103 | } | |
993b3242 UD |
104 | } |
105 | else | |
106 | { | |
63551311 | 107 | if (rcls == FP_ZERO) |
993b3242 | 108 | { |
63551311 | 109 | /* Real part is 0.0. */ |
993b3242 UD |
110 | __real__ retval = __copysignl (0.0, negate ? -1.0 : 1.0); |
111 | __imag__ retval = __nanl ("") + __nanl (""); | |
779ae82e | 112 | |
779ae82e UD |
113 | if (icls == FP_INFINITE) |
114 | feraiseexcept (FE_INVALID); | |
993b3242 UD |
115 | } |
116 | else | |
117 | { | |
118 | __real__ retval = __nanl (""); | |
119 | __imag__ retval = __nanl (""); | |
779ae82e | 120 | |
779ae82e | 121 | feraiseexcept (FE_INVALID); |
993b3242 UD |
122 | } |
123 | } | |
124 | } | |
a1ffb40e | 125 | else if (__glibc_likely (rcls == FP_INFINITE)) |
993b3242 | 126 | { |
63551311 | 127 | /* Real part is infinite. */ |
a1ffb40e | 128 | if (__glibc_likely (icls > FP_ZERO)) |
993b3242 | 129 | { |
63551311 | 130 | /* Imaginary part is finite. */ |
7799b7b3 UD |
131 | long double sinix, cosix; |
132 | ||
a1ffb40e | 133 | if (__glibc_likely (icls != FP_SUBNORMAL)) |
6d3bf199 LD |
134 | { |
135 | __sincosl (__imag__ x, &sinix, &cosix); | |
136 | } | |
137 | else | |
138 | { | |
139 | sinix = __imag__ x; | |
140 | cosix = 1.0; | |
141 | } | |
7799b7b3 UD |
142 | |
143 | __real__ retval = __copysignl (HUGE_VALL, cosix); | |
144 | __imag__ retval = __copysignl (HUGE_VALL, sinix); | |
993b3242 UD |
145 | |
146 | if (negate) | |
147 | __real__ retval = -__real__ retval; | |
148 | } | |
bc62c2fb UD |
149 | else if (icls == FP_ZERO) |
150 | { | |
151 | /* Imaginary part is 0.0. */ | |
152 | __real__ retval = negate ? -HUGE_VALL : HUGE_VALL; | |
153 | __imag__ retval = __imag__ x; | |
154 | } | |
993b3242 UD |
155 | else |
156 | { | |
157 | /* The addition raises the invalid exception. */ | |
158 | __real__ retval = HUGE_VALL; | |
159 | __imag__ retval = __nanl ("") + __nanl (""); | |
779ae82e UD |
160 | |
161 | #ifdef FE_INVALID | |
162 | if (icls == FP_INFINITE) | |
163 | feraiseexcept (FE_INVALID); | |
164 | #endif | |
993b3242 UD |
165 | } |
166 | } | |
167 | else | |
168 | { | |
63551311 UD |
169 | __real__ retval = __nanl (""); |
170 | __imag__ retval = __imag__ x == 0.0 ? __imag__ x : __nanl (""); | |
993b3242 UD |
171 | } |
172 | ||
173 | return retval; | |
174 | } | |
175 | weak_alias (__csinhl, csinhl) |