| 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 | #include "../complex/complex_internal.h" |
| 46 | #include <errno.h> |
| 47 | #include "fastmath.h" |
| 48 | |
| 49 | __FLT_TYPE |
| 50 | __FLT_ABI(acosh) (__FLT_TYPE x) |
| 51 | { |
| 52 | int x_class = fpclassify (x); |
| 53 | if (x_class == FP_NAN) |
| 54 | { |
| 55 | __FLT_RPT_DOMAIN ("acosh", x, 0.0, x); |
| 56 | return x; |
| 57 | } |
| 58 | else if (x < __FLT_CST(1.0)) |
| 59 | { |
| 60 | __FLT_RPT_DOMAIN ("acosh", x, 0.0, __FLT_NAN); |
| 61 | return __FLT_NAN; |
| 62 | } |
| 63 | else if (x_class == FP_INFINITE) |
| 64 | { |
| 65 | return INFINITY; |
| 66 | } |
| 67 | |
| 68 | if (x > __FLT_CST(0x1p32)) |
| 69 | return __FLT_ABI (__fast_log) (x) + 6.9314718055994530941723E-1L; |
| 70 | |
| 71 | return __FLT_ABI (__fast_log) (x + |
| 72 | __FLT_ABI (__fast_sqrt) ((x + __FLT_CST(1.0)) * (x - __FLT_CST(1.0)))); |
| 73 | } |
| 74 | |