1 /* Complex sine hyperbole function for 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/>. */
23 #include <math_private.h>
27 __csinh (__complex__ double x)
29 __complex__ double retval;
30 int negate = signbit (__real__ x);
31 int rcls = fpclassify (__real__ x);
32 int icls = fpclassify (__imag__ x);
34 __real__ x = fabs (__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) ((DBL_MAX_EXP - 1) * M_LN2);
45 __sincos (__imag__ x, &sinix, &cosix);
47 if (fabs (__real__ x) > t)
49 double exp_t = __ieee754_exp (t);
50 double rx = fabs (__real__ x);
51 if (signbit (__real__ x))
64 /* Overflow (original real part of x > 3t). */
65 __real__ retval = DBL_MAX * cosix;
66 __imag__ retval = DBL_MAX * sinix;
70 double exp_val = __ieee754_exp (rx);
71 __real__ retval = exp_val * cosix;
72 __imag__ retval = exp_val * sinix;
77 __real__ retval = __ieee754_sinh (__real__ x) * cosix;
78 __imag__ retval = __ieee754_cosh (__real__ x) * sinix;
82 __real__ retval = -__real__ retval;
88 /* Real part is 0.0. */
89 __real__ retval = __copysign (0.0, negate ? -1.0 : 1.0);
90 __imag__ retval = __nan ("") + __nan ("");
92 if (icls == FP_INFINITE)
93 feraiseexcept (FE_INVALID);
97 __real__ retval = __nan ("");
98 __imag__ retval = __nan ("");
100 feraiseexcept (FE_INVALID);
104 else if (rcls == FP_INFINITE)
106 /* Real part is infinite. */
107 if (__builtin_expect (icls > FP_ZERO, 1))
109 /* Imaginary part is finite. */
112 __sincos (__imag__ x, &sinix, &cosix);
114 __real__ retval = __copysign (HUGE_VAL, cosix);
115 __imag__ retval = __copysign (HUGE_VAL, sinix);
118 __real__ retval = -__real__ retval;
120 else if (icls == FP_ZERO)
122 /* Imaginary part is 0.0. */
123 __real__ retval = negate ? -HUGE_VAL : HUGE_VAL;
124 __imag__ retval = __imag__ x;
128 /* The addition raises the invalid exception. */
129 __real__ retval = HUGE_VAL;
130 __imag__ retval = __nan ("") + __nan ("");
132 if (icls == FP_INFINITE)
133 feraiseexcept (FE_INVALID);
138 __real__ retval = __nan ("");
139 __imag__ retval = __imag__ x == 0.0 ? __imag__ x : __nan ("");
144 weak_alias (__csinh, csinh)
145 #ifdef NO_LONG_DOUBLE
146 strong_alias (__csinh, __csinhl)
147 weak_alias (__csinh, csinhl)