/*

 * 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>

#include <cfloat>

#include <cmath>

_STLP_BEGIN_NAMESPACE

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

// helpers

#if defined (__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};

#  if !defined (_STLP_NO_LONG_DOUBLE)

  static const long double ldouble_limit = ldouble_ulimit.ld;

#  endif

#else

#  if defined (M_LN2) && defined (FLT_MAX_EXP)

  static const float float_limit = float(M_LN2 * FLT_MAX_EXP);

  static const double double_limit = M_LN2 * DBL_MAX_EXP;

#  else

  static const float float_limit = ::log(FLT_MAX);

  static const double double_limit = ::log(DBL_MAX);

#  endif

#  if !defined (_STLP_NO_LONG_DOUBLE)

#    if defined (M_LN2l)

  static const long double ldouble_limit = M_LN2l * LDBL_MAX_EXP;

#    else

  static const long double ldouble_limit = ::log(LDBL_MAX);

#    endif

#  endif

#endif

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

// sin

template <class _Tp>

static complex<_Tp> sinT(const complex<_Tp>& z) {

  return complex<_Tp>(::sin(z._M_re) * ::cosh(z._M_im),

                      ::cos(z._M_re) * ::sinh(z._M_im));

}

_STLP_DECLSPEC complex<float> _STLP_CALL sin(const complex<float>& z)

{ return sinT(z); }

_STLP_DECLSPEC complex<double> _STLP_CALL sin(const complex<double>& z)

{ return sinT(z); }

#if !defined (_STLP_NO_LONG_DOUBLE)

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

{ return sinT(z); }

#endif

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

// cos

template <class _Tp>

static complex<_Tp> cosT(const complex<_Tp>& z) {

  return complex<_Tp>(::cos(z._M_re) * ::cosh(z._M_im),

                     -::sin(z._M_re) * ::sinh(z._M_im));

}

_STLP_DECLSPEC complex<float> _STLP_CALL cos(const complex<float>& z)

{ return cosT(z); }

_STLP_DECLSPEC complex<double> _STLP_CALL cos(const complex<double>& z)

{ return cosT(z); }

#if !defined (_STLP_NO_LONG_DOUBLE)

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

{ return cosT(z); }

#endif

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

// tan

template <class _Tp>

static complex<_Tp> tanT(const complex<_Tp>& z, const _Tp& Tp_limit) {

  _Tp re2 = 2.f * z._M_re;

  _Tp im2 = 2.f * z._M_im;

  if (::abs(im2) > Tp_limit)

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

  else {

    _Tp den = ::cos(re2) + ::cosh(im2);

    return complex<_Tp>(::sin(re2) / den, ::sinh(im2) / den);

  }

}

_STLP_DECLSPEC complex<float> _STLP_CALL tan(const complex<float>& z)

{ return tanT(z, float_limit); }

_STLP_DECLSPEC complex<double> _STLP_CALL tan(const complex<double>& z)

{ return tanT(z, double_limit); }

#if !defined (_STLP_NO_LONG_DOUBLE)

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

{ return tanT(z, ldouble_limit); }

#endif

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

// sinh

template <class _Tp>

static complex<_Tp> sinhT(const complex<_Tp>& z) {

  return complex<_Tp>(::sinh(z._M_re) * ::cos(z._M_im),

                      ::cosh(z._M_re) * ::sin(z._M_im));

}

_STLP_DECLSPEC complex<float> _STLP_CALL sinh(const complex<float>& z)

{ return sinhT(z); }

_STLP_DECLSPEC complex<double> _STLP_CALL sinh(const complex<double>& z)

{ return sinhT(z); }

#if !defined (_STLP_NO_LONG_DOUBLE)

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

{ return sinhT(z); }

#endif

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

// cosh

template <class _Tp>

static complex<_Tp> coshT(const complex<_Tp>& z) {

  return complex<_Tp>(::cosh(z._M_re) * ::cos(z._M_im),

                      ::sinh(z._M_re) * ::sin(z._M_im));

}

_STLP_DECLSPEC complex<float> _STLP_CALL cosh(const complex<float>& z)

{ return coshT(z); }

_STLP_DECLSPEC complex<double> _STLP_CALL cosh(const complex<double>& z)

{ return coshT(z); }

#if !defined (_STLP_NO_LONG_DOUBLE)

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

{ return coshT(z); }

#endif

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

// tanh

template <class _Tp>

static complex<_Tp> tanhT(const complex<_Tp>& z, const _Tp& Tp_limit) {

  _Tp re2 = 2.f * z._M_re;

  _Tp im2 = 2.f * z._M_im;

  if (::abs(re2) > Tp_limit)

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

  else {

    _Tp den = ::cosh(re2) + ::cos(im2);

    return complex<_Tp>(::sinh(re2) / den, ::sin(im2) / den);

  }

}

_STLP_DECLSPEC complex<float> _STLP_CALL tanh(const complex<float>& z)

{ return tanhT(z, float_limit); }

_STLP_DECLSPEC complex<double> _STLP_CALL tanh(const complex<double>& z)

{ return tanhT(z, double_limit); }

#if !defined (_STLP_NO_LONG_DOUBLE)

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

{ return tanhT(z, ldouble_limit); }

#endif

_STLP_END_NAMESPACE