michael@0: /*
michael@0:  * Copyright (c) 1999
michael@0:  * Silicon Graphics Computer Systems, Inc.
michael@0:  *
michael@0:  * Copyright (c) 1999
michael@0:  * Boris Fomitchev
michael@0:  *
michael@0:  * This material is provided "as is", with absolutely no warranty expressed
michael@0:  * or implied. Any use is at your own risk.
michael@0:  *
michael@0:  * Permission to use or copy this software for any purpose is hereby granted
michael@0:  * without fee, provided the above notices are retained on all copies.
michael@0:  * Permission to modify the code and to distribute modified code is granted,
michael@0:  * provided the above notices are retained, and a notice that the code was
michael@0:  * modified is included with the above copyright notice.
michael@0:  *
michael@0:  */
michael@0: #include "stlport_prefix.h"
michael@0: 
michael@0: 
michael@0: // Trigonometric and hyperbolic functions for complex<float>,
michael@0: // complex<double>, and complex<long double>
michael@0: #include <complex>
michael@0: #include <cfloat>
michael@0: #include <cmath>
michael@0: 
michael@0: _STLP_BEGIN_NAMESPACE
michael@0: 
michael@0: 
michael@0: //----------------------------------------------------------------------
michael@0: // helpers
michael@0: #if defined (__sgi)
michael@0:   static const union { unsigned int i; float f; } float_ulimit = { 0x42b2d4fc };
michael@0:   static const float float_limit = float_ulimit.f;
michael@0:   static union {
michael@0:     struct { unsigned int h; unsigned int l; } w;
michael@0:     double d;
michael@0:   } double_ulimit = { 0x408633ce, 0x8fb9f87d };
michael@0:   static const double double_limit = double_ulimit.d;
michael@0:   static union {
michael@0:     struct { unsigned int h[2]; unsigned int l[2]; } w;
michael@0:     long double ld;
michael@0:   } ldouble_ulimit = {0x408633ce, 0x8fb9f87e, 0xbd23b659, 0x4e9bd8b1};
michael@0: #  if !defined (_STLP_NO_LONG_DOUBLE)
michael@0: #    define ldouble_limit ldouble_ulimit.ld
michael@0: #  endif
michael@0: #else
michael@0: #  if defined (M_LN2) && defined (FLT_MAX_EXP)
michael@0:   static const float float_limit = float(M_LN2 * FLT_MAX_EXP);
michael@0:   static const double double_limit = M_LN2 * DBL_MAX_EXP;
michael@0: #  else
michael@0:   static const float float_limit = ::log(FLT_MAX);
michael@0:   static const double double_limit = ::log(DBL_MAX);
michael@0: #  endif
michael@0: #  if !defined (_STLP_NO_LONG_DOUBLE)
michael@0: #    if defined (M_LN2l)
michael@0: #      define ldouble_limit (M_LN2l * LDBL_MAX_EXP)
michael@0: #    else
michael@0: #      define ldouble_limit ::log(LDBL_MAX)
michael@0: #    endif
michael@0: #  endif
michael@0: #endif
michael@0: 
michael@0: 
michael@0: //----------------------------------------------------------------------
michael@0: // sin
michael@0: template <class _Tp>
michael@0: static complex<_Tp> sinT(const complex<_Tp>& z) {
michael@0:   return complex<_Tp>(::sin(z._M_re) * ::cosh(z._M_im),
michael@0:                       ::cos(z._M_re) * ::sinh(z._M_im));
michael@0: }
michael@0: 
michael@0: _STLP_DECLSPEC complex<float> _STLP_CALL sin(const complex<float>& z)
michael@0: { return sinT(z); }
michael@0: 
michael@0: _STLP_DECLSPEC complex<double> _STLP_CALL sin(const complex<double>& z)
michael@0: { return sinT(z); }
michael@0: 
michael@0: #if !defined (_STLP_NO_LONG_DOUBLE)
michael@0: _STLP_DECLSPEC complex<long double> _STLP_CALL sin(const complex<long double>& z)
michael@0: { return sinT(z); }
michael@0: #endif
michael@0: 
michael@0: //----------------------------------------------------------------------
michael@0: // cos
michael@0: template <class _Tp>
michael@0: static complex<_Tp> cosT(const complex<_Tp>& z) {
michael@0:   return complex<_Tp>(::cos(z._M_re) * ::cosh(z._M_im),
michael@0:                      -::sin(z._M_re) * ::sinh(z._M_im));
michael@0: }
michael@0: 
michael@0: _STLP_DECLSPEC complex<float> _STLP_CALL cos(const complex<float>& z)
michael@0: { return cosT(z); }
michael@0: 
michael@0: _STLP_DECLSPEC complex<double> _STLP_CALL cos(const complex<double>& z)
michael@0: { return cosT(z); }
michael@0: 
michael@0: #if !defined (_STLP_NO_LONG_DOUBLE)
michael@0: _STLP_DECLSPEC complex<long double> _STLP_CALL cos(const complex<long double>& z)
michael@0: { return cosT(z); }
michael@0: #endif
michael@0: 
michael@0: //----------------------------------------------------------------------
michael@0: // tan
michael@0: template <class _Tp>
michael@0: static complex<_Tp> tanT(const complex<_Tp>& z, const _Tp& Tp_limit) {
michael@0:   _Tp re2 = 2.f * z._M_re;
michael@0:   _Tp im2 = 2.f * z._M_im;
michael@0: 
michael@0:   if (::abs(im2) > Tp_limit)
michael@0:     return complex<_Tp>(0.f, (im2 > 0 ? 1.f : -1.f));
michael@0:   else {
michael@0:     _Tp den = ::cos(re2) + ::cosh(im2);
michael@0:     return complex<_Tp>(::sin(re2) / den, ::sinh(im2) / den);
michael@0:   }
michael@0: }
michael@0: 
michael@0: _STLP_DECLSPEC complex<float> _STLP_CALL tan(const complex<float>& z)
michael@0: { return tanT(z, float_limit); }
michael@0: 
michael@0: _STLP_DECLSPEC complex<double> _STLP_CALL tan(const complex<double>& z)
michael@0: { return tanT(z, double_limit); }
michael@0: 
michael@0: #if !defined (_STLP_NO_LONG_DOUBLE)
michael@0: _STLP_DECLSPEC complex<long double> _STLP_CALL tan(const complex<long double>& z)
michael@0: { return tanT(z, ldouble_limit); }
michael@0: #endif
michael@0: 
michael@0: //----------------------------------------------------------------------
michael@0: // sinh
michael@0: template <class _Tp>
michael@0: static complex<_Tp> sinhT(const complex<_Tp>& z) {
michael@0:   return complex<_Tp>(::sinh(z._M_re) * ::cos(z._M_im),
michael@0:                       ::cosh(z._M_re) * ::sin(z._M_im));
michael@0: }
michael@0: 
michael@0: _STLP_DECLSPEC complex<float> _STLP_CALL sinh(const complex<float>& z)
michael@0: { return sinhT(z); }
michael@0: 
michael@0: _STLP_DECLSPEC complex<double> _STLP_CALL sinh(const complex<double>& z)
michael@0: { return sinhT(z); }
michael@0: 
michael@0: #if !defined (_STLP_NO_LONG_DOUBLE)
michael@0: _STLP_DECLSPEC complex<long double> _STLP_CALL sinh(const complex<long double>& z)
michael@0: { return sinhT(z); }
michael@0: #endif
michael@0: 
michael@0: //----------------------------------------------------------------------
michael@0: // cosh
michael@0: template <class _Tp>
michael@0: static complex<_Tp> coshT(const complex<_Tp>& z) {
michael@0:   return complex<_Tp>(::cosh(z._M_re) * ::cos(z._M_im),
michael@0:                       ::sinh(z._M_re) * ::sin(z._M_im));
michael@0: }
michael@0: 
michael@0: _STLP_DECLSPEC complex<float> _STLP_CALL cosh(const complex<float>& z)
michael@0: { return coshT(z); }
michael@0: 
michael@0: _STLP_DECLSPEC complex<double> _STLP_CALL cosh(const complex<double>& z)
michael@0: { return coshT(z); }
michael@0: 
michael@0: #if !defined (_STLP_NO_LONG_DOUBLE)
michael@0: _STLP_DECLSPEC complex<long double> _STLP_CALL cosh(const complex<long double>& z)
michael@0: { return coshT(z); }
michael@0: #endif
michael@0: 
michael@0: //----------------------------------------------------------------------
michael@0: // tanh
michael@0: template <class _Tp>
michael@0: static complex<_Tp> tanhT(const complex<_Tp>& z, const _Tp& Tp_limit) {
michael@0:   _Tp re2 = 2.f * z._M_re;
michael@0:   _Tp im2 = 2.f * z._M_im;
michael@0:   if (::abs(re2) > Tp_limit)
michael@0:     return complex<_Tp>((re2 > 0 ? 1.f : -1.f), 0.f);
michael@0:   else {
michael@0:     _Tp den = ::cosh(re2) + ::cos(im2);
michael@0:     return complex<_Tp>(::sinh(re2) / den, ::sin(im2) / den);
michael@0:   }
michael@0: }
michael@0: 
michael@0: _STLP_DECLSPEC complex<float> _STLP_CALL tanh(const complex<float>& z)
michael@0: { return tanhT(z, float_limit); }
michael@0: 
michael@0: _STLP_DECLSPEC complex<double> _STLP_CALL tanh(const complex<double>& z)
michael@0: { return tanhT(z, double_limit); }
michael@0: 
michael@0: #if !defined (_STLP_NO_LONG_DOUBLE)
michael@0: _STLP_DECLSPEC complex<long double> _STLP_CALL tanh(const complex<long double>& z)
michael@0: { return tanhT(z, ldouble_limit); }
michael@0: #endif
michael@0: 
michael@0: _STLP_END_NAMESPACE