third-party-mirror / mingw-w64 / 256313314c6358378881191149f16ec8f762ea9c / . / mingw-w64-crt / complex / ctanh.def.h

/* | |

This Software is provided under the Zope Public License (ZPL) Version 2.1. | |

Copyright (c) 2009, 2010 by the mingw-w64 project | |

See the AUTHORS file for the list of contributors to the mingw-w64 project. | |

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as GPL compatible by the Free Software Foundation (FSF). | |

Redistribution and use in source and binary forms, with or without | |

modification, are permitted provided that the following conditions are met: | |

1. Redistributions in source code must retain the accompanying copyright | |

notice, this list of conditions, and the following disclaimer. | |

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copyright notice, this list of conditions, and the following disclaimer | |

in the documentation and/or other materials provided with the | |

distribution. | |

3. Names of the copyright holders must not be used to endorse or promote | |

products derived from this software without prior written permission | |

from the copyright holders. | |

4. The right to distribute this software or to use it for any purpose does | |

not give you the right to use Servicemarks (sm) or Trademarks (tm) of | |

the copyright holders. Use of them is covered by separate agreement | |

with the copyright holders. | |

5. If any files are modified, you must cause the modified files to carry | |

prominent notices stating that you changed the files and the date of | |

any change. | |

Disclaimer | |

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY EXPRESSED | |

OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES | |

OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO | |

EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY DIRECT, INDIRECT, | |

INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT | |

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*/ | |

__FLT_TYPE __complex__ __cdecl | |

__FLT_ABI(ctanh) (__FLT_TYPE __complex__ z) | |

{ | |

__complex__ __FLT_TYPE ret; | |

__FLT_TYPE s, c, d; | |

if (!isfinite (__real__ z) || !isfinite (__imag__ z)) | |

{ | |

if (isinf (__real__ z)) | |

{ | |

__real__ ret = __FLT_ABI(copysign) (__FLT_CST(1.0), __real__ z); | |

/* fmod will return NaN if __imag__ z is infinity. This is actually | |

OK, because imaginary infinity returns a + or - zero (unspecified). | |

For +x, sin (x) is negative if fmod (x, 2pi) > pi. | |

For -x, sin (x) is positive if fmod (x, 2pi) < pi. | |

We use epsilon to ensure that the zeros are detected properly with | |

float and long double comparisons. */ | |

s = __FLT_ABI(fmod) (__imag__ z, __FLT_PI); | |

if (signbit (__imag__ z)) | |

__imag__ ret = s + __FLT_PI_2 < -__FLT_EPSILON ? 0.0 : -0.0; | |

else | |

__imag__ ret = s - __FLT_PI_2 > __FLT_EPSILON ? -0.0 : 0.0; | |

return ret; | |

} | |

if (__imag__ z == __FLT_CST(0.0)) | |

return z; | |

__real__ ret = __FLT_NAN; | |

__imag__ ret = __FLT_NAN; | |

return ret; | |

} | |

__FLT_ABI(sincos) (__FLT_CST(2.0) * __imag__ z, &s, &c); | |

d = (__FLT_ABI(cosh) (__FLT_CST(2.0) * __real__ z) + c); | |

if (d == __FLT_CST(0.0)) | |

{ | |

__complex__ __FLT_TYPE ez = __FLT_ABI(cexp) (z); | |

__complex__ __FLT_TYPE emz = __FLT_ABI(cexp) (-z); | |

return (ez - emz) / (ez + emz); | |

} | |

__real__ ret = __FLT_ABI(sinh) (__FLT_CST(2.0) * __real__ z) / d; | |

__imag__ ret = s / d; | |

return ret; | |

} |