m68k: update libm-test ULPs
[glibc.git] / math / s_csinhl.c
blobd9a928a40187dfdc2dc77e79c3b5b80dc8eecf4b
1 /* Complex sine hyperbole function for long double.
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.
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.
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.
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/>. */
20 #include <complex.h>
21 #include <fenv.h>
22 #include <math.h>
23 #include <math_private.h>
24 #include <float.h>
26 __complex__ long double
27 __csinhl (__complex__ long double x)
29 __complex__ long double retval;
30 int negate = signbit (__real__ x);
31 int rcls = fpclassify (__real__ x);
32 int icls = fpclassify (__imag__ x);
34 __real__ x = fabsl (__real__ x);
36 if (__builtin_expect (rcls >= FP_ZERO, 1))
38 /* Real part is finite. */
39 if (__builtin_expect (icls >= FP_ZERO, 1))
41 /* Imaginary part is finite. */
42 const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l);
43 long double sinix, cosix;
45 if (__builtin_expect (icls != FP_SUBNORMAL, 1))
47 __sincosl (__imag__ x, &sinix, &cosix);
49 else
51 sinix = __imag__ x;
52 cosix = 1.0;
55 if (fabsl (__real__ x) > t)
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)
66 rx -= t;
67 sinix *= exp_t;
68 cosix *= exp_t;
70 if (rx > t)
72 /* Overflow (original real part of x > 3t). */
73 __real__ retval = LDBL_MAX * cosix;
74 __imag__ retval = LDBL_MAX * sinix;
76 else
78 long double exp_val = __ieee754_expl (rx);
79 __real__ retval = exp_val * cosix;
80 __imag__ retval = exp_val * sinix;
83 else
85 __real__ retval = __ieee754_sinhl (__real__ x) * cosix;
86 __imag__ retval = __ieee754_coshl (__real__ x) * sinix;
89 if (negate)
90 __real__ retval = -__real__ retval;
92 else
94 if (rcls == FP_ZERO)
96 /* Real part is 0.0. */
97 __real__ retval = __copysignl (0.0, negate ? -1.0 : 1.0);
98 __imag__ retval = __nanl ("") + __nanl ("");
100 if (icls == FP_INFINITE)
101 feraiseexcept (FE_INVALID);
103 else
105 __real__ retval = __nanl ("");
106 __imag__ retval = __nanl ("");
108 feraiseexcept (FE_INVALID);
112 else if (__builtin_expect (rcls == FP_INFINITE, 1))
114 /* Real part is infinite. */
115 if (__builtin_expect (icls > FP_ZERO, 1))
117 /* Imaginary part is finite. */
118 long double sinix, cosix;
120 if (__builtin_expect (icls != FP_SUBNORMAL, 1))
122 __sincosl (__imag__ x, &sinix, &cosix);
124 else
126 sinix = __imag__ x;
127 cosix = 1.0;
130 __real__ retval = __copysignl (HUGE_VALL, cosix);
131 __imag__ retval = __copysignl (HUGE_VALL, sinix);
133 if (negate)
134 __real__ retval = -__real__ retval;
136 else if (icls == FP_ZERO)
138 /* Imaginary part is 0.0. */
139 __real__ retval = negate ? -HUGE_VALL : HUGE_VALL;
140 __imag__ retval = __imag__ x;
142 else
144 /* The addition raises the invalid exception. */
145 __real__ retval = HUGE_VALL;
146 __imag__ retval = __nanl ("") + __nanl ("");
148 #ifdef FE_INVALID
149 if (icls == FP_INFINITE)
150 feraiseexcept (FE_INVALID);
151 #endif
154 else
156 __real__ retval = __nanl ("");
157 __imag__ retval = __imag__ x == 0.0 ? __imag__ x : __nanl ("");
160 return retval;
162 weak_alias (__csinhl, csinhl)