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/*
* 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"
// exp, log, pow for complex<float>, complex<double>, and complex<long double>
#include <numeric>
#include "complex_impl.h"
_STLP_BEGIN_NAMESPACE
//----------------------------------------------------------------------
// exp
_STLP_DECLSPEC complex<float> _STLP_CALL
exp(const complex<float>& z)
{
float expx = _STLP_EXPF(z._M_re);
return complex<float>(expx * _STLP_COSF(z._M_im),
expx * _STLP_SINF(z._M_im));
}
_STLP_DECLSPEC complex<double> _STLP_CALL exp(const complex<double>& z)
{
double expx = _STLP_EXP(z._M_re);
return complex<double>(expx * _STLP_COS(z._M_im),
expx * _STLP_SIN(z._M_im));
}
# ifndef _STLP_NO_LONG_DOUBLE
_STLP_DECLSPEC complex<long double> _STLP_CALL exp(const complex<long double>& z)
{
long double expx = _STLP_EXPL(z._M_re);
return complex<long double>(expx * _STLP_COSL(z._M_im),
expx * _STLP_SINL(z._M_im));
}
# endif
//----------------------------------------------------------------------
// log10
_STLP_DECLSPEC complex<float> _STLP_CALL log10(const complex<float>& z)
{
complex<float> r;
static float ln10_inv = 1.f / _STLP_LOGF(10.f);
r._M_im = _STLP_ATAN2F(z._M_im, z._M_re) * ln10_inv;
r._M_re = _STLP_LOG10F(_STLP_HYPOTF(z._M_re, z._M_im));
return r;
}
_STLP_DECLSPEC complex<double> _STLP_CALL log10(const complex<double>& z)
{
complex<double> r;
static double ln10_inv = 1. / _STLP_LOG(10.);
r._M_im = _STLP_ATAN2(z._M_im, z._M_re) * ln10_inv;
r._M_re = _STLP_LOG10(_STLP_HYPOT(z._M_re, z._M_im));
return r;
}
#ifndef _STLP_NO_LONG_DOUBLE
_STLP_DECLSPEC complex<long double> _STLP_CALL log10(const complex<long double>& z)
{
complex<long double> result;
static long double ln10_inv = 1.l / _STLP_LOGL(10.l);
result._M_im = _STLP_ATAN2L(z._M_im, z._M_re) * ln10_inv;
result._M_re = _STLP_LOG10L(_STLP_HYPOTL(z._M_re, z._M_im));
return result;
}
# endif
//----------------------------------------------------------------------
// log
_STLP_DECLSPEC complex<float> _STLP_CALL log(const complex<float>& z)
{
complex<float> r;
r._M_im = _STLP_ATAN2F(z._M_im, z._M_re);
r._M_re = _STLP_LOGF(_STLP_HYPOTF(z._M_re, z._M_im));
return r;
}
_STLP_DECLSPEC complex<double> _STLP_CALL log(const complex<double>& z)
{
complex<double> r;
r._M_im = _STLP_ATAN2(z._M_im, z._M_re);
r._M_re = _STLP_LOG(_STLP_HYPOT(z._M_re, z._M_im));
return r;
}
#ifndef _STLP_NO_LONG_DOUBLE
_STLP_DECLSPEC complex<long double> _STLP_CALL log(const complex<long double>& z)
{
complex<long double> result;
result._M_im = _STLP_ATAN2L(z._M_im, z._M_re);
result._M_re = _STLP_LOGL(_STLP_HYPOTL(z._M_re, z._M_im));
return result;
}
# endif
//----------------------------------------------------------------------
// pow
_STLP_DECLSPEC complex<float> _STLP_CALL pow(const float& a, const complex<float>& b) {
float logr = _STLP_LOGF(a);
float x = _STLP_EXPF(logr*b._M_re);
float y = logr*b._M_im;
return complex<float>(x * _STLP_COSF(y), x * _STLP_SINF(y));
}
_STLP_DECLSPEC complex<float> _STLP_CALL pow(const complex<float>& z_in, int n) {
complex<float> z = z_in;
z = __power(z, (n < 0 ? -n : n), multiplies< complex<float> >());
if (n < 0)
return 1.f / z;
else
return z;
}
_STLP_DECLSPEC complex<float> _STLP_CALL pow(const complex<float>& a, const float& b) {
float logr = _STLP_LOGF(_STLP_HYPOTF(a._M_re,a._M_im));
float logi = _STLP_ATAN2F(a._M_im, a._M_re);
float x = _STLP_EXPF(logr * b);
float y = logi * b;
return complex<float>(x * _STLP_COSF(y), x * _STLP_SINF(y));
}
_STLP_DECLSPEC complex<float> _STLP_CALL pow(const complex<float>& a, const complex<float>& b) {
float logr = _STLP_LOGF(_STLP_HYPOTF(a._M_re,a._M_im));
float logi = _STLP_ATAN2F(a._M_im, a._M_re);
float x = _STLP_EXPF(logr*b._M_re - logi*b._M_im);
float y = logr*b._M_im + logi*b._M_re;
return complex<float>(x * _STLP_COSF(y), x * _STLP_SINF(y));
}
_STLP_DECLSPEC complex<double> _STLP_CALL pow(const double& a, const complex<double>& b) {
double logr = _STLP_LOG(a);
double x = _STLP_EXP(logr*b._M_re);
double y = logr*b._M_im;
return complex<double>(x * _STLP_COS(y), x * _STLP_SIN(y));
}
_STLP_DECLSPEC complex<double> _STLP_CALL pow(const complex<double>& z_in, int n) {
complex<double> z = z_in;
z = __power(z, (n < 0 ? -n : n), multiplies< complex<double> >());
if (n < 0)
#if !defined(__SC__) //*TY 04/15/2000 -
return 1. / z;
#else //*TY 04/15/2000 - added workaround for SCpp compiler
return double(1.0) / z; //*TY 04/15/2000 - it incorrectly assign long double attribute to floating point literals
#endif //*TY 04/15/2000 -
else
return z;
}
_STLP_DECLSPEC complex<double> _STLP_CALL pow(const complex<double>& a, const double& b) {
double logr = _STLP_LOG(_STLP_HYPOT(a._M_re,a._M_im));
double logi = _STLP_ATAN2(a._M_im, a._M_re);
double x = _STLP_EXP(logr * b);
double y = logi * b;
return complex<double>(x * _STLP_COS(y), x * _STLP_SIN(y));
}
_STLP_DECLSPEC complex<double> _STLP_CALL pow(const complex<double>& a, const complex<double>& b) {
double logr = _STLP_LOG(_STLP_HYPOT(a._M_re,a._M_im));
double logi = _STLP_ATAN2(a._M_im, a._M_re);
double x = _STLP_EXP(logr*b._M_re - logi*b._M_im);
double y = logr*b._M_im + logi*b._M_re;
return complex<double>(x * _STLP_COS(y), x * _STLP_SIN(y));
}
_STLP_DECLSPEC complex<long double> _STLP_CALL pow(const long double& a,
const complex<long double>& b) {
long double logr = _STLP_LOGL(a);
long double x = _STLP_EXPL(logr*b._M_re);
long double y = logr*b._M_im;
return complex<long double>(x * _STLP_COSL(y), x * _STLP_SINL(y));
}
_STLP_DECLSPEC complex<long double> _STLP_CALL pow(const complex<long double>& z_in, int n) {
complex<long double> z = z_in;
z = __power(z, (n < 0 ? -n : n), multiplies< complex<long double> >());
if (n < 0)
return 1.l / z;
else
return z;
}
_STLP_DECLSPEC complex<long double> _STLP_CALL pow(const complex<long double>& a,
const long double& b) {
long double logr = _STLP_LOGL(_STLP_HYPOTL(a._M_re,a._M_im));
long double logi = _STLP_ATAN2L(a._M_im, a._M_re);
long double x = _STLP_EXPL(logr * b);
long double y = logi * b;
return complex<long double>(x * _STLP_COSL(y), x * _STLP_SINL(y));
}
_STLP_DECLSPEC complex<long double> _STLP_CALL pow(const complex<long double>& a,
const complex<long double>& b) {
long double logr = _STLP_LOGL(_STLP_HYPOTL(a._M_re,a._M_im));
long double logi = _STLP_ATAN2L(a._M_im, a._M_re);
long double x = _STLP_EXPL(logr*b._M_re - logi*b._M_im);
long double y = logr*b._M_im + logi*b._M_re;
return complex<long double>(x * _STLP_COSL(y), x * _STLP_SINL(y));
}
_STLP_END_NAMESPACE
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