1 /* Return arc hyperbolic cosine for a complex type.
2    Copyright (C) 1997-2022 Free Software Foundation, Inc.
3    This file is part of the GNU C Library.
4 
5    The GNU C Library is free software; you can redistribute it and/or
6    modify it under the terms of the GNU Lesser General Public
7    License as published by the Free Software Foundation; either
8    version 2.1 of the License, or (at your option) any later version.
9 
10    The GNU C Library is distributed in the hope that it will be useful,
11    but WITHOUT ANY WARRANTY; without even the implied warranty of
12    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
13    Lesser General Public License for more details.
14 
15    You should have received a copy of the GNU Lesser General Public
16    License along with the GNU C Library; if not, see
17    <https://www.gnu.org/licenses/>.  */
18 
19 #include <complex.h>
20 #include <math.h>
21 
22 
23 CFLOAT
M_DECL_FUNC(__cacosh)24 M_DECL_FUNC (__cacosh) (CFLOAT x)
25 {
26   CFLOAT res;
27   int rcls = fpclassify (__real__ x);
28   int icls = fpclassify (__imag__ x);
29 
30   if (rcls <= FP_INFINITE || icls <= FP_INFINITE)
31     {
32       if (icls == FP_INFINITE)
33 	{
34 	  __real__ res = M_HUGE_VAL;
35 
36 	  if (rcls == FP_NAN)
37 	    __imag__ res = M_NAN;
38 	  else
39 	    __imag__ res = M_COPYSIGN ((rcls == FP_INFINITE
40 					? (__real__ x < 0
41 					   ? M_MLIT (M_PI) - M_MLIT (M_PI_4)
42 					   : M_MLIT (M_PI_4))
43 					: M_MLIT (M_PI_2)), __imag__ x);
44 	}
45       else if (rcls == FP_INFINITE)
46 	{
47 	  __real__ res = M_HUGE_VAL;
48 
49 	  if (icls >= FP_ZERO)
50 	    __imag__ res = M_COPYSIGN (signbit (__real__ x)
51 				       ? M_MLIT (M_PI) : 0, __imag__ x);
52 	  else
53 	    __imag__ res = M_NAN;
54 	}
55       else
56 	{
57 	  __real__ res = M_NAN;
58 	  if (rcls == FP_ZERO)
59 	    __imag__ res = M_MLIT (M_PI_2);
60 	  else
61 	    __imag__ res = M_NAN;
62 	}
63     }
64   else if (rcls == FP_ZERO && icls == FP_ZERO)
65     {
66       __real__ res = 0;
67       __imag__ res = M_COPYSIGN (M_MLIT (M_PI_2), __imag__ x);
68     }
69   else
70     {
71       CFLOAT y;
72 
73       __real__ y = -__imag__ x;
74       __imag__ y = __real__ x;
75 
76       y = M_SUF (__kernel_casinh) (y, 1);
77 
78       if (signbit (__imag__ x))
79 	{
80 	  __real__ res = __real__ y;
81 	  __imag__ res = -__imag__ y;
82 	}
83       else
84 	{
85 	  __real__ res = -__real__ y;
86 	  __imag__ res = __imag__ y;
87 	}
88     }
89 
90   return res;
91 }
92 
93 declare_mgen_alias (__cacosh, cacosh)
94