/*

 * © Portions copyright (c) 2006-2007 Nokia Corporation.  All rights reserved.

 *

 * Copyright (c) 1999

 * Silicon Graphics Computer Systems, Inc.

 *

 * Copyright (c) 1999 

 * Boris Fomitchev

 *

 * This material is provided "as is", with absolutely no warranty expressed

 * or implied. Any use is at your own risk.

 *

 * Permission to use or copy this software for any purpose is hereby granted 

 * without fee, provided the above notices are retained on all copies.

 * Permission to modify the code and to distribute modified code is granted,

 * provided the above notices are retained, and a notice that the code was

 * modified is included with the above copyright notice.

 *

 */ 

# include "stlport_prefix.h"

// Trigonometric and hyperbolic functions for complex<float>, 

// complex<double>, and complex<long double>

#include "complex_impl.h"

#include <cfloat>

#include <cmath>

#if defined(__LIBSTD_CPP_SYMBIAN32_WSD__) || defined(_STLP_LIBSTD_CPP_NO_STATIC_VAR_)

#include "libstdcppwsd.h"

# endif

_STLP_BEGIN_NAMESPACE

//----------------------------------------------------------------------

// helpers

#ifdef __sgi

  static const union { unsigned int i; float f; } float_ulimit = { 0x42b2d4fc };

  static const float float_limit = float_ulimit.f;

  static union {

    struct { unsigned int h; unsigned int l; } w;

    double d;

  } double_ulimit = { 0x408633ce, 0x8fb9f87d };

  static const double double_limit = double_ulimit.d;

  static union {

    struct { unsigned int h[2]; unsigned int l[2]; } w;

    long double ld;

  } ldouble_ulimit = {0x408633ce, 0x8fb9f87e, 0xbd23b659, 0x4e9bd8b1};

# ifndef _STLP_NO_LONG_DOUBLE

  static const long double ldouble_limit = ldouble_ulimit.ld;

# endif

#else

#if defined(__LIBSTD_CPP_SYMBIAN32_WSD__) || defined(_STLP_LIBSTD_CPP_NO_STATIC_VAR_)

void complex_trig_limit_init()

{

	get_complex_trig_float_limit() = _STLP_LOGF(FLT_MAX);

	get_complex_trig_double_limit() = _STLP_DO_LOG(double)(DBL_MAX);    

} 

# else

  static const float float_limit = _STLP_LOGF(FLT_MAX);

  static const double double_limit = _STLP_DO_LOG(double)(DBL_MAX);  

# endif //__LIBSTD_CPP_SYMBIAN32_WSD__

# ifndef _STLP_NO_LONG_DOUBLE

  static const long double ldouble_limit = _STLP_LOGL(LDBL_MAX);

# endif

#endif

//----------------------------------------------------------------------

// sin

_STLP_EXP_DECLSPEC complex<float>  _STLP_CALL sin(const complex<float>& z) {

  return complex<float>(_STLP_SINF(z._M_re) * _STLP_COSHF(z._M_im),

                        _STLP_COSF(z._M_re) * _STLP_SINHF(z._M_im));

}

_STLP_EXP_DECLSPEC complex<double> _STLP_CALL sin(const complex<double>& z) {

  return complex<double>(_STLP_SIN(z._M_re) * _STLP_COSH(z._M_im),

                         _STLP_COS(z._M_re) * _STLP_SINH(z._M_im));

}

#ifndef _STLP_NO_LONG_DOUBLE

_STLP_EXP_DECLSPEC complex<long double> _STLP_CALL sin(const complex<long double>& z) {

  return complex<long double>(_STLP_SINL(z._M_re) * _STLP_COSHL(z._M_im),

                              _STLP_COSL(z._M_re) * _STLP_SINHL(z._M_im));

}

#endif

//----------------------------------------------------------------------

// cos

_STLP_EXP_DECLSPEC complex<float> _STLP_CALL cos(const complex<float>& z) {

  return complex<float>(_STLP_COSF(z._M_re) * _STLP_COSHF(z._M_im),

                        -_STLP_SINF(z._M_re) * _STLP_SINHF(z._M_im));

}

_STLP_EXP_DECLSPEC complex<double> _STLP_CALL cos(const complex<double>& z) {

  return complex<double>(_STLP_COS(z._M_re) * _STLP_COSH(z._M_im),

                        -_STLP_SIN(z._M_re) * _STLP_SINH(z._M_im));

}

#ifndef _STLP_NO_LONG_DOUBLE

_STLP_EXP_DECLSPEC complex<long double> _STLP_CALL cos(const complex<long double>& z) {

  return complex<long double>(_STLP_COSL(z._M_re) * _STLP_COSHL(z._M_im),

                              -_STLP_SINL(z._M_re) * _STLP_SINHL(z._M_im));

}

# endif

//----------------------------------------------------------------------

// tan

_STLP_EXP_DECLSPEC complex<float> _STLP_CALL tan(const complex<float>& z) {

  float re2 = 2.f * z._M_re;

  float im2 = 2.f * z._M_im;

#if defined(__LIBSTD_CPP_SYMBIAN32_WSD__) || defined(_STLP_LIBSTD_CPP_NO_STATIC_VAR_)

  if (_STLP_ABSF(im2) > get_complex_trig_float_limit())  

# else

  if (_STLP_ABSF(im2) > float_limit)	

# endif  

    return complex<float>(0.f, (im2 > 0 ? 1.f : -1.f));

  else {

    float den = _STLP_COSF(re2) + _STLP_COSHF(im2);

    return complex<float>(_STLP_SINF(re2) / den, _STLP_SINHF(im2) / den);

  }

}

_STLP_EXP_DECLSPEC complex<double> _STLP_CALL tan(const complex<double>& z) {

  double re2 = 2. * z._M_re;

  double im2 = 2. * z._M_im;

#if defined(__LIBSTD_CPP_SYMBIAN32_WSD__) || defined(_STLP_LIBSTD_CPP_NO_STATIC_VAR_)

  if (fabs(float(im2)) > get_complex_trig_double_limit())

# else

  if (fabs(float(im2)) > double_limit)

# endif  //__LIBSTD_CPP_SYMBIAN32_WSD__

    return complex<double>(0., (im2 > 0 ? 1. : -1.));

  else {

    double den = _STLP_COS(re2) + _STLP_COSH(im2);

    return complex<double>(_STLP_SIN(re2) / den, _STLP_SINH(im2) / den);

  }

}

#ifndef _STLP_NO_LONG_DOUBLE

_STLP_EXP_DECLSPEC complex<long double> _STLP_CALL tan(const complex<long double>& z) {

  long double re2 = 2.l * z._M_re;

  long double im2 = 2.l * z._M_im;

  if (_STLP_ABSL(im2) > ldouble_limit)

    return complex<long double>(0.l, (im2 > 0 ? 1.l : -1.l));

  else {

    long double den = _STLP_COSL(re2) + _STLP_COSHL(im2);

    return complex<long double>(_STLP_SINL(re2) / den, _STLP_SINHL(im2) / den);

  }

}

# endif

//----------------------------------------------------------------------

// sinh

_STLP_EXP_DECLSPEC complex<float> _STLP_CALL sinh(const complex<float>& z) {

  return complex<float>(_STLP_SINHF(z._M_re) * _STLP_COSF(z._M_im),

                        _STLP_COSHF(z._M_re) * _STLP_SINF(z._M_im));

}

_STLP_EXP_DECLSPEC complex<double> _STLP_CALL sinh(const complex<double>& z) {

  return complex<double>(_STLP_SINH(z._M_re) * _STLP_COS(z._M_im),

                         _STLP_COSH(z._M_re) * _STLP_SIN(z._M_im));

}

#ifndef _STLP_NO_LONG_DOUBLE

_STLP_EXP_DECLSPEC complex<long double> _STLP_CALL sinh(const complex<long double>& z) {

  return complex<long double>(_STLP_SINHL(z._M_re) * _STLP_COSL(z._M_im),

                              _STLP_COSHL(z._M_re) * _STLP_SINL(z._M_im));

}

#endif

//----------------------------------------------------------------------

// cosh

_STLP_EXP_DECLSPEC complex<float> _STLP_CALL cosh(const complex<float>& z) {

  return complex<float>(_STLP_COSHF(z._M_re) * _STLP_COSF(z._M_im),

                        _STLP_SINHF(z._M_re) * _STLP_SINF(z._M_im));

}

_STLP_EXP_DECLSPEC complex<double> _STLP_CALL cosh(const complex<double>& z) {

  return complex<double>(_STLP_COSH(z._M_re) * _STLP_COS(z._M_im),

                         _STLP_SINH(z._M_re) * _STLP_SIN(z._M_im));

}

#ifndef _STLP_NO_LONG_DOUBLE

_STLP_EXP_DECLSPEC complex<long double> _STLP_CALL cosh(const complex<long double>& z) {

  return complex<long double>(_STLP_COSHL(z._M_re) * _STLP_COSL(z._M_im),

                              _STLP_SINHL(z._M_re) * _STLP_SINL(z._M_im));

}

#endif

//----------------------------------------------------------------------

// tanh

_STLP_EXP_DECLSPEC complex<float> _STLP_CALL tanh(const complex<float>& z) {

  float re2 = 2.f * z._M_re;

  float im2 = 2.f * z._M_im;

#if defined(__LIBSTD_CPP_SYMBIAN32_WSD__) || defined(_STLP_LIBSTD_CPP_NO_STATIC_VAR_)

   if (_STLP_ABSF(re2) > get_complex_trig_float_limit())

# else

   if (_STLP_ABSF(re2) > float_limit)

# endif  //__LIBSTD_CPP_SYMBIAN32_WSD__

    return complex<float>((re2 > 0 ? 1.f : -1.f), 0.f);

  else {

    float den = _STLP_COSHF(re2) + _STLP_COSF(im2);

    return complex<float>(_STLP_SINHF(re2) / den, _STLP_SINF(im2) / den);

  }

}

_STLP_EXP_DECLSPEC complex<double> _STLP_CALL tanh(const complex<double>& z) {

  double re2 = 2. * z._M_re;

  double im2 = 2. * z._M_im;  

#if defined(__LIBSTD_CPP_SYMBIAN32_WSD__) || defined(_STLP_LIBSTD_CPP_NO_STATIC_VAR_)

  if (fabs(float(re2)) > get_complex_trig_double_limit())

# else

  if (fabs(float(re2)) > double_limit)

# endif //__LIBSTD_CPP_SYMBIAN32_WSD__  

    return complex<double>((re2 > 0 ? 1. : -1.), 0.);

  else {

    double den = _STLP_COSH(re2) + _STLP_COS(im2);

    return complex<double>(_STLP_SINH(re2) / den, _STLP_SIN(im2) / den);

  }

}

#ifndef _STLP_NO_LONG_DOUBLE

_STLP_EXP_DECLSPEC complex<long double> _STLP_CALL tanh(const complex<long double>& z) {

  long double re2 = 2.l * z._M_re;

  long double im2 = 2.l * z._M_im;

  if (_STLP_ABSL(re2) > ldouble_limit)

    return complex<long double>((re2 > 0 ? 1.l : -1.l), 0.l);

  else {

    long double den = _STLP_COSHL(re2) + _STLP_COSL(im2);

    return complex<long double>(_STLP_SINHL(re2) / den, _STLP_SINL(im2) / den);

  }

}

#endif

_STLP_END_NAMESPACE