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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"
// Complex division and square roots.
#include "complex_impl.h"
_STLP_BEGIN_NAMESPACE
// Absolute value
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC float _STLP_CALL abs(const complex<float>& __z)
{
return _STLP_HYPOTF(__z._M_re, __z._M_im);
}
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC double _STLP_CALL abs(const complex<double>& __z)
{
return _STLP_HYPOT(__z._M_re, __z._M_im);
}
#ifndef _STLP_NO_LONG_DOUBLE
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC long double _STLP_CALL abs(const complex<long double>& __z)
{
return _STLP_HYPOTL(__z._M_re, __z._M_im);
}
#endif
// Phase
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC float _STLP_CALL arg(const complex<float>& __z)
{
return _STLP_ATAN2F(__z._M_im, __z._M_re);
}
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC double _STLP_CALL arg(const complex<double>& __z)
{
return _STLP_ATAN2(__z._M_im, __z._M_re);
}
#ifndef _STLP_NO_LONG_DOUBLE
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC long double _STLP_CALL arg(const complex<long double>& __z)
{
return _STLP_ATAN2L(__z._M_im, __z._M_re);
}
#endif
// Construct a complex number from polar representation
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC complex<float> _STLP_CALL polar(const float& __rho, const float& __phi)
{
return complex<float>(__rho * _STLP_COSF(__phi), __rho * _STLP_SINF(__phi));
}
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC complex<double> _STLP_CALL polar(const double& __rho, const double& __phi)
{
return complex<double>(__rho * _STLP_COS(__phi), __rho * _STLP_SIN(__phi));
}
#ifndef _STLP_NO_LONG_DOUBLE
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC complex<long double> _STLP_CALL polar(const long double& __rho, const long double& __phi)
{
return complex<long double>(__rho * _STLP_COSL(__phi), __rho * _STLP_SINL(__phi));
}
#endif
// Division
void _STLP_CALL
complex<float>::_div(const float& __z1_r, const float& __z1_i,
const float& __z2_r, const float& __z2_i,
float& __res_r, float& __res_i) {
float __ar = __z2_r >= 0 ? __z2_r : -__z2_r;
float __ai = __z2_i >= 0 ? __z2_i : -__z2_i;
if (__ar <= __ai) {
float __ratio = __z2_r / __z2_i;
float __denom = __z2_i * (1 + __ratio * __ratio);
__res_r = (__z1_r * __ratio + __z1_i) / __denom;
__res_i = (__z1_i * __ratio - __z1_r) / __denom;
}
else {
float __ratio = __z2_i / __z2_r;
float __denom = __z2_r * (1 + __ratio * __ratio);
__res_r = (__z1_r + __z1_i * __ratio) / __denom;
__res_i = (__z1_i - __z1_r * __ratio) / __denom;
}
}
void _STLP_CALL
complex<float>::_div(const float& __z1_r,
const float& __z2_r, const float& __z2_i,
float& __res_r, float& __res_i) {
float __ar = __z2_r >= 0 ? __z2_r : -__z2_r;
float __ai = __z2_i >= 0 ? __z2_i : -__z2_i;
if (__ar <= __ai) {
float __ratio = __z2_r / __z2_i;
float __denom = __z2_i * (1 + __ratio * __ratio);
__res_r = (__z1_r * __ratio) / __denom;
__res_i = - __z1_r / __denom;
}
else {
float __ratio = __z2_i / __z2_r;
float __denom = __z2_r * (1 + __ratio * __ratio);
__res_r = __z1_r / __denom;
__res_i = - (__z1_r * __ratio) / __denom;
}
}
void _STLP_CALL
complex<double>::_div(const double& __z1_r, const double& __z1_i,
const double& __z2_r, const double& __z2_i,
double& __res_r, double& __res_i) {
double __ar = __z2_r >= 0 ? __z2_r : -__z2_r;
double __ai = __z2_i >= 0 ? __z2_i : -__z2_i;
if (__ar <= __ai) {
double __ratio = __z2_r / __z2_i;
double __denom = __z2_i * (1 + __ratio * __ratio);
__res_r = (__z1_r * __ratio + __z1_i) / __denom;
__res_i = (__z1_i * __ratio - __z1_r) / __denom;
}
else {
double __ratio = __z2_i / __z2_r;
double __denom = __z2_r * (1 + __ratio * __ratio);
__res_r = (__z1_r + __z1_i * __ratio) / __denom;
__res_i = (__z1_i - __z1_r * __ratio) / __denom;
}
}
void _STLP_CALL
complex<double>::_div(const double& __z1_r,
const double& __z2_r, const double& __z2_i,
double& __res_r, double& __res_i) {
double __ar = __z2_r >= 0 ? __z2_r : -__z2_r;
double __ai = __z2_i >= 0 ? __z2_i : -__z2_i;
if (__ar <= __ai) {
double __ratio = __z2_r / __z2_i;
double __denom = __z2_i * (1 + __ratio * __ratio);
__res_r = (__z1_r * __ratio) / __denom;
__res_i = - __z1_r / __denom;
}
else {
double __ratio = __z2_i / __z2_r;
double __denom = __z2_r * (1 + __ratio * __ratio);
__res_r = __z1_r / __denom;
__res_i = - (__z1_r * __ratio) / __denom;
}
}
#ifndef _STLP_NO_LONG_DOUBLE
void _STLP_CALL
complex<long double>::_div(const long double& __z1_r, const long double& __z1_i,
const long double& __z2_r, const long double& __z2_i,
long double& __res_r, long double& __res_i) {
long double __ar = __z2_r >= 0 ? __z2_r : -__z2_r;
long double __ai = __z2_i >= 0 ? __z2_i : -__z2_i;
if (__ar <= __ai) {
long double __ratio = __z2_r / __z2_i;
long double __denom = __z2_i * (1 + __ratio * __ratio);
__res_r = (__z1_r * __ratio + __z1_i) / __denom;
__res_i = (__z1_i * __ratio - __z1_r) / __denom;
}
else {
long double __ratio = __z2_i / __z2_r;
long double __denom = __z2_r * (1 + __ratio * __ratio);
__res_r = (__z1_r + __z1_i * __ratio) / __denom;
__res_i = (__z1_i - __z1_r * __ratio) / __denom;
}
}
void _STLP_CALL
complex<long double>::_div(const long double& __z1_r,
const long double& __z2_r, const long double& __z2_i,
long double& __res_r, long double& __res_i) {
long double __ar = __z2_r >= 0 ? __z2_r : -__z2_r;
long double __ai = __z2_i >= 0 ? __z2_i : -__z2_i;
if (__ar <= __ai) {
long double __ratio = __z2_r / __z2_i;
long double __denom = __z2_i * (1 + __ratio * __ratio);
__res_r = (__z1_r * __ratio) / __denom;
__res_i = - __z1_r / __denom;
}
else {
long double __ratio = __z2_i / __z2_r;
long double __denom = __z2_r * (1 + __ratio * __ratio);
__res_r = __z1_r / __denom;
__res_i = - (__z1_r * __ratio) / __denom;
}
}
#endif
//----------------------------------------------------------------------
// Square root
complex<float> _STLP_CALL
sqrt(const complex<float>& z) {
float re = z._M_re;
float im = z._M_im;
float mag = _STLP_HYPOTF(re, im);
complex<float> result;
if (mag == 0.) {
result._M_re = result._M_im = 0.f;
} else if (re > 0.f) {
result._M_re = _STLP_SQRTF(0.5f * (mag + re));
result._M_im = im/result._M_re/2.f;
} else {
result._M_im = _STLP_SQRTF(0.5f * (mag - re));
if (im < 0.f)
result._M_im = - result._M_im;
result._M_re = im/result._M_im/2.f;
}
return result;
}
complex<double> _STLP_CALL
sqrt(const complex<double>& z) {
double re = z._M_re;
double im = z._M_im;
double mag = _STLP_HYPOT(re, im);
complex<double> result;
if (mag == 0.) {
result._M_re = result._M_im = 0.;
} else if (re > 0.) {
result._M_re = _STLP_SQRT(0.5 * (mag + re));
result._M_im = im/result._M_re/2;
} else {
result._M_im = _STLP_SQRT(0.5 * (mag - re));
if (im < 0.)
result._M_im = - result._M_im;
result._M_re = im/result._M_im/2;
}
return result;
}
#ifndef _STLP_NO_LONG_DOUBLE
complex<long double> _STLP_CALL
sqrt(const complex<long double>& z) {
long double re = z._M_re;
long double im = z._M_im;
long double mag = _STLP_HYPOTL(re, im);
complex<long double> result;
if (mag == 0.L) {
result._M_re = result._M_im = 0.L;
} else if (re > 0.L) {
result._M_re = _STLP_SQRTL(0.5L * (mag + re));
result._M_im = (im/result._M_re) * .5L;
} else {
result._M_im = _STLP_SQRTL(0.5L * (mag - re));
if (im < 0.L)
result._M_im = - result._M_im;
result._M_re = (im/result._M_im) * .5L;
}
return result;
}
#endif
_STLP_END_NAMESPACE
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