author | andy simpson <andrews@symbian.org> |
Fri, 17 Sep 2010 17:50:04 +0100 | |
branch | RCL_3 |
changeset 61 | b670675990af |
parent 0 | e4d67989cc36 |
permissions | -rw-r--r-- |
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/* |
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* Copyright (c) 1999 |
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* Silicon Graphics Computer Systems, Inc. |
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* |
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* Copyright (c) 1999 |
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* Boris Fomitchev |
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* |
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* This material is provided "as is", with absolutely no warranty expressed |
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* or implied. Any use is at your own risk. |
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* |
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* Permission to use or copy this software for any purpose is hereby granted |
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* without fee, provided the above notices are retained on all copies. |
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* Permission to modify the code and to distribute modified code is granted, |
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* provided the above notices are retained, and a notice that the code was |
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* modified is included with the above copyright notice. |
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* |
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*/ |
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#include "stlport_prefix.h" |
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|
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|
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// Trigonometric and hyperbolic functions for complex<float>, |
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// complex<double>, and complex<long double> |
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#include <complex> |
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#include <cfloat> |
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#include <cmath> |
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|
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_STLP_BEGIN_NAMESPACE |
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|
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//---------------------------------------------------------------------- |
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// helpers |
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#if defined (__sgi) |
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static const union { unsigned int i; float f; } float_ulimit = { 0x42b2d4fc }; |
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static const float float_limit = float_ulimit.f; |
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static union { |
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struct { unsigned int h; unsigned int l; } w; |
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double d; |
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} double_ulimit = { 0x408633ce, 0x8fb9f87d }; |
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static const double double_limit = double_ulimit.d; |
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static union { |
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struct { unsigned int h[2]; unsigned int l[2]; } w; |
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long double ld; |
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} ldouble_ulimit = {0x408633ce, 0x8fb9f87e, 0xbd23b659, 0x4e9bd8b1}; |
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# if !defined (_STLP_NO_LONG_DOUBLE) |
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static const long double ldouble_limit = ldouble_ulimit.ld; |
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# endif |
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#else |
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# if defined (M_LN2) && defined (FLT_MAX_EXP) |
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static const float float_limit = float(M_LN2 * FLT_MAX_EXP); |
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static const double double_limit = M_LN2 * DBL_MAX_EXP; |
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# else |
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static const float float_limit = ::log(FLT_MAX); |
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static const double double_limit = ::log(DBL_MAX); |
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# endif |
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# if !defined (_STLP_NO_LONG_DOUBLE) |
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# if defined (M_LN2l) |
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static const long double ldouble_limit = M_LN2l * LDBL_MAX_EXP; |
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# else |
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static const long double ldouble_limit = ::log(LDBL_MAX); |
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# endif |
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# endif |
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#endif |
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//---------------------------------------------------------------------- |
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// sin |
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template <class _Tp> |
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static complex<_Tp> sinT(const complex<_Tp>& z) { |
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return complex<_Tp>(::sin(z._M_re) * ::cosh(z._M_im), |
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::cos(z._M_re) * ::sinh(z._M_im)); |
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} |
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_STLP_DECLSPEC complex<float> _STLP_CALL sin(const complex<float>& z) |
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{ return sinT(z); } |
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_STLP_DECLSPEC complex<double> _STLP_CALL sin(const complex<double>& z) |
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{ return sinT(z); } |
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#if !defined (_STLP_NO_LONG_DOUBLE) |
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_STLP_DECLSPEC complex<long double> _STLP_CALL sin(const complex<long double>& z) |
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{ return sinT(z); } |
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#endif |
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//---------------------------------------------------------------------- |
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// cos |
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template <class _Tp> |
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static complex<_Tp> cosT(const complex<_Tp>& z) { |
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return complex<_Tp>(::cos(z._M_re) * ::cosh(z._M_im), |
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-::sin(z._M_re) * ::sinh(z._M_im)); |
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} |
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_STLP_DECLSPEC complex<float> _STLP_CALL cos(const complex<float>& z) |
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{ return cosT(z); } |
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_STLP_DECLSPEC complex<double> _STLP_CALL cos(const complex<double>& z) |
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{ return cosT(z); } |
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#if !defined (_STLP_NO_LONG_DOUBLE) |
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_STLP_DECLSPEC complex<long double> _STLP_CALL cos(const complex<long double>& z) |
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{ return cosT(z); } |
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#endif |
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//---------------------------------------------------------------------- |
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// tan |
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template <class _Tp> |
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static complex<_Tp> tanT(const complex<_Tp>& z, const _Tp& Tp_limit) { |
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_Tp re2 = 2.f * z._M_re; |
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_Tp im2 = 2.f * z._M_im; |
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|
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if (::abs(im2) > Tp_limit) |
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return complex<_Tp>(0.f, (im2 > 0 ? 1.f : -1.f)); |
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else { |
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_Tp den = ::cos(re2) + ::cosh(im2); |
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return complex<_Tp>(::sin(re2) / den, ::sinh(im2) / den); |
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} |
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} |
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|
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_STLP_DECLSPEC complex<float> _STLP_CALL tan(const complex<float>& z) |
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{ return tanT(z, float_limit); } |
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|
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_STLP_DECLSPEC complex<double> _STLP_CALL tan(const complex<double>& z) |
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{ return tanT(z, double_limit); } |
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|
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#if !defined (_STLP_NO_LONG_DOUBLE) |
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_STLP_DECLSPEC complex<long double> _STLP_CALL tan(const complex<long double>& z) |
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{ return tanT(z, ldouble_limit); } |
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#endif |
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|
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//---------------------------------------------------------------------- |
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// sinh |
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template <class _Tp> |
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static complex<_Tp> sinhT(const complex<_Tp>& z) { |
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return complex<_Tp>(::sinh(z._M_re) * ::cos(z._M_im), |
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::cosh(z._M_re) * ::sin(z._M_im)); |
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} |
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|
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_STLP_DECLSPEC complex<float> _STLP_CALL sinh(const complex<float>& z) |
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{ return sinhT(z); } |
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|
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_STLP_DECLSPEC complex<double> _STLP_CALL sinh(const complex<double>& z) |
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{ return sinhT(z); } |
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|
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#if !defined (_STLP_NO_LONG_DOUBLE) |
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_STLP_DECLSPEC complex<long double> _STLP_CALL sinh(const complex<long double>& z) |
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{ return sinhT(z); } |
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#endif |
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|
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//---------------------------------------------------------------------- |
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// cosh |
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template <class _Tp> |
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static complex<_Tp> coshT(const complex<_Tp>& z) { |
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return complex<_Tp>(::cosh(z._M_re) * ::cos(z._M_im), |
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::sinh(z._M_re) * ::sin(z._M_im)); |
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} |
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|
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_STLP_DECLSPEC complex<float> _STLP_CALL cosh(const complex<float>& z) |
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{ return coshT(z); } |
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|
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_STLP_DECLSPEC complex<double> _STLP_CALL cosh(const complex<double>& z) |
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{ return coshT(z); } |
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|
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#if !defined (_STLP_NO_LONG_DOUBLE) |
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_STLP_DECLSPEC complex<long double> _STLP_CALL cosh(const complex<long double>& z) |
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{ return coshT(z); } |
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#endif |
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|
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//---------------------------------------------------------------------- |
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// tanh |
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template <class _Tp> |
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static complex<_Tp> tanhT(const complex<_Tp>& z, const _Tp& Tp_limit) { |
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_Tp re2 = 2.f * z._M_re; |
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_Tp im2 = 2.f * z._M_im; |
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if (::abs(re2) > Tp_limit) |
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return complex<_Tp>((re2 > 0 ? 1.f : -1.f), 0.f); |
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else { |
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_Tp den = ::cosh(re2) + ::cos(im2); |
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return complex<_Tp>(::sinh(re2) / den, ::sin(im2) / den); |
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} |
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} |
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|
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_STLP_DECLSPEC complex<float> _STLP_CALL tanh(const complex<float>& z) |
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{ return tanhT(z, float_limit); } |
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|
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_STLP_DECLSPEC complex<double> _STLP_CALL tanh(const complex<double>& z) |
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{ return tanhT(z, double_limit); } |
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|
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#if !defined (_STLP_NO_LONG_DOUBLE) |
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_STLP_DECLSPEC complex<long double> _STLP_CALL tanh(const complex<long double>& z) |
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{ return tanhT(z, ldouble_limit); } |
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#endif |
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|
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_STLP_END_NAMESPACE |