mingw-w64-crt/complex/casinh.def.h

/*
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 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).

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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.
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      products derived from this software without prior written permission
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      the copyright holders.  Use of them is covered by separate agreement
      with the copyright holders.
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 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY EXPRESSED
 OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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*/

__FLT_TYPE __complex__ __cdecl
__FLT_ABI(casinh) (__FLT_TYPE __complex__ z)
{
  __complex__ __FLT_TYPE ret;
  __complex__ __FLT_TYPE x;
  int r_class = fpclassify (__real__ z);
  int i_class = fpclassify (__imag__ z);

  if (i_class == FP_INFINITE)
  {
    __real__ ret = __FLT_ABI(copysign) (__FLT_HUGE_VAL, __real__ z);
    __imag__ ret = (r_class == FP_NAN
      ? __FLT_NAN
      : (__FLT_ABI(copysign) ((r_class != FP_NAN && r_class != FP_INFINITE) ? __FLT_PI_2 : __FLT_PI_4, __imag__ z)));
    return ret;
  }

  if (r_class == FP_INFINITE)
  {
    __real__ ret = __real__ z;
    __imag__ ret = (i_class != FP_NAN
      ? __FLT_ABI(copysign) (__FLT_CST(0.0), __imag__ z)
      : __FLT_NAN);
    return ret;
  }

  if (r_class == FP_NAN)
  {
    __real__ ret = __real__ z;
    __imag__ ret = (i_class == FP_ZERO
      ? __FLT_ABI(copysign) (__FLT_CST(0.0), __imag__ z)
      : __FLT_NAN);
    return ret;
  }

  if (i_class == FP_NAN)
  {
    __real__ ret = __FLT_NAN;
    __imag__ ret = __FLT_NAN;
    return ret;
  }

  if (r_class == FP_ZERO && i_class == FP_ZERO)
    return z;

  __real__ x = (__real__ z - __imag__ z) * (__real__ z + __imag__ z) + __FLT_CST(1.0);
  __imag__ x = __FLT_CST(2.0) * __real__ z * __imag__ z;

  x = __FLT_ABI(csqrt) (x);

  __real__ x += __real__ z;
  __imag__ x += __imag__ z;

  return __FLT_ABI(clog) (x);
}