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1 | /* |
2 | This Software is provided under the Zope Public License (ZPL) Version 2.1. | |
3 | ||
4 | Copyright (c) 2009, 2010 by the mingw-w64 project | |
5 | ||
6 | See the AUTHORS file for the list of contributors to the mingw-w64 project. | |
7 | ||
8 | This license has been certified as open source. It has also been designated | |
9 | as GPL compatible by the Free Software Foundation (FSF). | |
10 | ||
11 | Redistribution and use in source and binary forms, with or without | |
12 | modification, are permitted provided that the following conditions are met: | |
13 | ||
14 | 1. Redistributions in source code must retain the accompanying copyright | |
15 | notice, this list of conditions, and the following disclaimer. | |
16 | 2. Redistributions in binary form must reproduce the accompanying | |
17 | copyright notice, this list of conditions, and the following disclaimer | |
18 | in the documentation and/or other materials provided with the | |
19 | distribution. | |
20 | 3. Names of the copyright holders must not be used to endorse or promote | |
21 | products derived from this software without prior written permission | |
22 | from the copyright holders. | |
23 | 4. The right to distribute this software or to use it for any purpose does | |
24 | not give you the right to use Servicemarks (sm) or Trademarks (tm) of | |
25 | the copyright holders. Use of them is covered by separate agreement | |
26 | with the copyright holders. | |
27 | 5. If any files are modified, you must cause the modified files to carry | |
28 | prominent notices stating that you changed the files and the date of | |
29 | any change. | |
30 | ||
31 | Disclaimer | |
32 | ||
33 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY EXPRESSED | |
34 | OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES | |
35 | OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO | |
36 | EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY DIRECT, INDIRECT, | |
37 | INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT | |
38 | LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, | |
39 | OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF | |
40 | LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING | |
41 | NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, | |
42 | EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | |
43 | */ | |
44 | ||
45 | __FLT_TYPE __complex__ __cdecl | |
46 | __FLT_ABI(catanh) (__FLT_TYPE __complex__ z) | |
47 | { | |
48 | __complex__ __FLT_TYPE ret; | |
49 | __FLT_TYPE i2, n, d; | |
50 | int r_class = fpclassify (__real__ z); | |
51 | int i_class = fpclassify (__imag__ z); | |
52 | ||
53 | if (r_class == FP_INFINITE || r_class == FP_NAN || i_class == FP_INFINITE || i_class == FP_NAN) | |
54 | { | |
55 | if (i_class == FP_INFINITE) | |
56 | { | |
57 | __real__ ret = __FLT_ABI(copysign) (__FLT_CST(0.0), __real__ z); | |
58 | __imag__ ret = __FLT_ABI(copysign) (__FLT_PI_2, __imag__ z); | |
59 | return ret; | |
60 | } | |
61 | ||
62 | if (r_class == FP_INFINITE || r_class == FP_ZERO) | |
63 | { | |
64 | __real__ ret = __FLT_ABI(copysign) (__FLT_CST(0.0), __real__ z); | |
65 | __imag__ ret = ((i_class != FP_NAN && i_class != FP_INFINITE) | |
66 | ? __FLT_ABI(copysign) (__FLT_PI_2, __imag__ z) : __FLT_NAN); | |
67 | return ret; | |
68 | } | |
69 | ||
70 | __real__ ret = __FLT_NAN; | |
71 | __imag__ ret = __FLT_NAN; | |
72 | return ret; | |
73 | } | |
74 | ||
75 | if (r_class == FP_ZERO && i_class == FP_ZERO) | |
76 | return z; | |
77 | ||
78 | i2 = __imag__ z * __imag__ z; | |
79 | ||
80 | n = __FLT_CST(1.0) + __real__ z; | |
81 | n = i2 + n * n; | |
82 | ||
83 | d = __FLT_CST(1.0) - __real__ z; | |
84 | d = i2 + d * d; | |
85 | ||
86 | __real__ ret = __FLT_CST(0.25) * (__FLT_ABI(log) (n) - __FLT_ABI(log) (d)); | |
87 | ||
88 | d = 1 - __real__ z * __real__ z - i2; | |
89 | ||
90 | __imag__ ret = __FLT_CST(0.5) * __FLT_ABI(atan2) (__FLT_CST(2.0) * __imag__ z, d); | |
91 | ||
92 | return ret; | |
93 | } |