240 lines
7.3 KiB
C++
240 lines
7.3 KiB
C++
/*
|
|
* 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
|
|
|