xref: /haiku/src/system/libroot/posix/glibc/arch/generic/s_cacosh.c (revision 68ea01249e1e2088933cb12f9c28d4e5c5d1c9ef)
1 /* Return arc hyperbole cosine for double value.
2    Copyright (C) 1997 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, write to the Free
18    Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
19    02111-1307 USA.  */
20 
21 #include <complex.h>
22 #include <math.h>
23 
24 
25 __complex__ double
26 __cacosh (__complex__ double x)
27 {
28   __complex__ double res;
29   int rcls = fpclassify (__real__ x);
30   int icls = fpclassify (__imag__ x);
31 
32   if (rcls <= FP_INFINITE || icls <= FP_INFINITE)
33     {
34       if (icls == FP_INFINITE)
35 	{
36 	  __real__ res = HUGE_VAL;
37 
38 	  if (rcls == FP_NAN)
39 	    __imag__ res = nan ("");
40 	  else
41 	    __imag__ res = copysign ((rcls == FP_INFINITE
42 					? (__real__ x < 0.0
43 					   ? M_PI - M_PI_4 : M_PI_4)
44 					: M_PI_2), __imag__ x);
45 	}
46       else if (rcls == FP_INFINITE)
47 	{
48 	  __real__ res = HUGE_VAL;
49 
50 	  if (icls >= FP_ZERO)
51 	    __imag__ res = copysign (signbit (__real__ x) ? M_PI : 0.0,
52 				       __imag__ x);
53 	  else
54 	    __imag__ res = nan ("");
55 	}
56       else
57 	{
58 	  __real__ res = nan ("");
59 	  __imag__ res = nan ("");
60 	}
61     }
62   else if (rcls == FP_ZERO && icls == FP_ZERO)
63     {
64       __real__ res = 0.0;
65       __imag__ res = copysign (M_PI_2, __imag__ x);
66     }
67   else
68     {
69       __complex__ double y;
70 
71       __real__ y = (__real__ x - __imag__ x) * (__real__ x + __imag__ x) - 1.0;
72       __imag__ y = 2.0 * __real__ x * __imag__ x;
73 
74       y = __csqrt (y);
75 
76       __real__ y += __real__ x;
77       __imag__ y += __imag__ x;
78 
79       res = __clog (y);
80     }
81 
82   return res;
83 }
84 weak_alias (__cacosh, cacosh)
85 #ifdef NO_LONG_DOUBLE
86 strong_alias (__cacosh, __cacoshl)
87 weak_alias (__cacosh, cacoshl)
88 #endif
89