MathFunctions.h File Reference

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Functions
long double	ei_abs (long double x)
double	ei_abs (const std::complex< double > &x)
float	ei_abs (const std::complex< float > &x)
double	ei_abs (double x)
float	ei_abs (float x)
int	ei_abs (int x)
long double	ei_abs2 (long double x)
double	ei_abs2 (const std::complex< double > &x)
float	ei_abs2 (const std::complex< float > &x)
double	ei_abs2 (double x)
float	ei_abs2 (float x)
int	ei_abs2 (int x)
long double	ei_atan2 (long double y, long double x)
std::complex< double >	ei_atan2 (std::complex< double >, std::complex< double >)
std::complex< float >	ei_atan2 (std::complex< float >, std::complex< float >)
double	ei_atan2 (double y, double x)
float	ei_atan2 (float y, float x)
int	ei_atan2 (int, int)
long double	ei_conj (long double x)
std::complex< double >	ei_conj (const std::complex< double > &x)
std::complex< float >	ei_conj (const std::complex< float > &x)
double	ei_conj (double x)
float	ei_conj (float x)
int	ei_conj (int x)
long double	ei_cos (long double x)
std::complex< double >	ei_cos (std::complex< double > x)
std::complex< float >	ei_cos (std::complex< float > x)
double	ei_cos (double x)
float	ei_cos (float x)
int	ei_cos (int)
long double	ei_exp (long double x)
std::complex< double >	ei_exp (std::complex< double > x)
std::complex< float >	ei_exp (std::complex< float > x)
double	ei_exp (double x)
float	ei_exp (float x)
int	ei_exp (int)
template<typename T >
T	ei_hypot (T x, T y)
long double	ei_imag (long double)
double	ei_imag (const std::complex< double > &x)
float	ei_imag (const std::complex< float > &x)
double	ei_imag (double)
float	ei_imag (float)
int	ei_imag (int)
bool	ei_isApprox (long double a, long double b, long double prec=precision< long double >())
bool	ei_isApprox (const std::complex< double > &a, const std::complex< double > &b, double prec=precision< double >())
bool	ei_isApprox (const std::complex< float > &a, const std::complex< float > &b, float prec=precision< float >())
bool	ei_isApprox (double a, double b, double prec=precision< double >())
bool	ei_isApprox (float a, float b, float prec=precision< float >())
bool	ei_isApprox (int a, int b, int=precision< int >())
bool	ei_isApproxOrLessThan (long double a, long double b, long double prec=precision< long double >())
bool	ei_isApproxOrLessThan (double a, double b, double prec=precision< double >())
bool	ei_isApproxOrLessThan (float a, float b, float prec=precision< float >())
bool	ei_isApproxOrLessThan (int a, int b, int=precision< int >())
bool	ei_isMuchSmallerThan (long double a, long double b, long double prec=precision< long double >())
bool	ei_isMuchSmallerThan (const std::complex< double > &a, double b, double prec=precision< double >())
bool	ei_isMuchSmallerThan (const std::complex< double > &a, const std::complex< double > &b, double prec=precision< double >())
bool	ei_isMuchSmallerThan (const std::complex< float > &a, float b, float prec=precision< float >())
bool	ei_isMuchSmallerThan (const std::complex< float > &a, const std::complex< float > &b, float prec=precision< float >())
bool	ei_isMuchSmallerThan (double a, double b, double prec=precision< double >())
bool	ei_isMuchSmallerThan (float a, float b, float prec=precision< float >())
bool	ei_isMuchSmallerThan (int a, int, int=precision< int >())
long double	ei_log (long double x)
double	ei_log (double x)
float	ei_log (float x)
int	ei_log (int)
long double	ei_pow (long double x, long double y)
double	ei_pow (double x, double y)
float	ei_pow (float x, float y)
int	ei_pow (int x, int y)
template<>
long double	ei_random (long double a, long double b)
template<>
double	ei_random (double a, double b)
template<>
float	ei_random (float a, float b)
template<>
int	ei_random ()
template<>
int	ei_random (int a, int b)
template<typename T >
T	ei_random ()
template<typename T >
T	ei_random (T a, T b)
template<typename T >
T	ei_random_amplitude ()
long double	ei_real (long double x)
double	ei_real (const std::complex< double > &x)
float	ei_real (const std::complex< float > &x)
double	ei_real (double x)
float	ei_real (float x)
int	ei_real (int x)
long double	ei_sin (long double x)
std::complex< double >	ei_sin (std::complex< double > x)
std::complex< float >	ei_sin (std::complex< float > x)
double	ei_sin (double x)
float	ei_sin (float x)
int	ei_sin (int)
long double	ei_sqrt (long double x)
double	ei_sqrt (double x)
float	ei_sqrt (float x)
int	ei_sqrt (int)
template<typename T >
NumTraits< T >::Real	machine_epsilon ()
template<>
double	machine_epsilon< double > ()
template<>
float	machine_epsilon< float > ()
template<>
int	machine_epsilon< int > ()
template<>
long double	machine_epsilon< long double > ()
template<>
double	machine_epsilon< std::complex< double > > ()
template<>
float	machine_epsilon< std::complex< float > > ()
template<typename T >
NumTraits< T >::Real	precision ()
template<>
double	precision< double > ()
template<>
float	precision< float > ()
template<>
int	precision< int > ()
template<>
long double	precision< long double > ()
template<>
double	precision< std::complex< double > > ()
template<>
float	precision< std::complex< float > > ()

---

Function Documentation

long double ei_abs

(

long double

x

)

[inline]

Definition at line 254 of file MathFunctions.h.

double ei_abs

(

const std::complex< double > &

x

)

[inline]

Definition at line 218 of file MathFunctions.h.

float ei_abs

(

const std::complex< float > &

x

)

[inline]

Definition at line 183 of file MathFunctions.h.

double ei_abs

(

double

x

)

[inline]

Definition at line 136 of file MathFunctions.h.

float ei_abs

(

float

x

)

[inline]

Definition at line 88 of file MathFunctions.h.

int ei_abs

(

int

x

)

[inline]

Definition at line 47 of file MathFunctions.h.

long double ei_abs2

(

long double

x

)

[inline]

Definition at line 255 of file MathFunctions.h.

double ei_abs2

(

const std::complex< double > &

x

)

[inline]

Definition at line 219 of file MathFunctions.h.

float ei_abs2

(

const std::complex< float > &

x

)

[inline]

Definition at line 184 of file MathFunctions.h.

double ei_abs2

(

double

x

)

[inline]

Definition at line 137 of file MathFunctions.h.

float ei_abs2

(

float

x

)

[inline]

Definition at line 89 of file MathFunctions.h.

int ei_abs2

(

int

x

)

[inline]

Definition at line 48 of file MathFunctions.h.

long double ei_atan2	(	long double	y,
		long double	x
	)			[inline]

Definition at line 261 of file MathFunctions.h.

std::complex<double> ei_atan2	(	std::complex< double >	,
		std::complex< double >
	)			[inline]

Definition at line 223 of file MathFunctions.h.

std::complex<float> ei_atan2	(	std::complex< float >	,
		std::complex< float >
	)			[inline]

Definition at line 188 of file MathFunctions.h.

double ei_atan2	(	double	y,
		double	x
	)			[inline]

Definition at line 143 of file MathFunctions.h.

float ei_atan2	(	float	y,
		float	x
	)			[inline]

Definition at line 95 of file MathFunctions.h.

int ei_atan2	(	int	,
		int
	)			[inline]

Definition at line 54 of file MathFunctions.h.

long double ei_conj

(

long double

x

)

[inline]

Definition at line 253 of file MathFunctions.h.

std::complex<double> ei_conj

(

const std::complex< double > &

x

)

[inline]

Definition at line 217 of file MathFunctions.h.

std::complex<float> ei_conj

(

const std::complex< float > &

x

)

[inline]

Definition at line 182 of file MathFunctions.h.

double ei_conj

(

double

x

)

[inline]

Definition at line 135 of file MathFunctions.h.

float ei_conj

(

float

x

)

[inline]

Definition at line 87 of file MathFunctions.h.

int ei_conj

(

int

x

)

[inline]

Definition at line 46 of file MathFunctions.h.

long double ei_cos

(

long double

x

)

[inline]

Definition at line 260 of file MathFunctions.h.

std::complex<double> ei_cos

(

std::complex< double >

x

)

[inline]

Definition at line 222 of file MathFunctions.h.

std::complex<float> ei_cos

(

std::complex< float >

x

)

[inline]

Definition at line 187 of file MathFunctions.h.

double ei_cos

(

double

x

)

[inline]

Definition at line 142 of file MathFunctions.h.

float ei_cos

(

float

x

)

[inline]

Definition at line 94 of file MathFunctions.h.

int ei_cos

(

int

)

[inline]

Definition at line 53 of file MathFunctions.h.

long double ei_exp

(

long double

x

)

[inline]

Definition at line 257 of file MathFunctions.h.

std::complex<double> ei_exp

(

std::complex< double >

x

)

[inline]

Definition at line 220 of file MathFunctions.h.

std::complex<float> ei_exp

(

std::complex< float >

x

)

[inline]

Definition at line 185 of file MathFunctions.h.

double ei_exp

(

double

x

)

[inline]

Definition at line 139 of file MathFunctions.h.

float ei_exp

(

float

x

)

[inline]

Definition at line 91 of file MathFunctions.h.

int ei_exp

(

int

)

[inline]

Definition at line 50 of file MathFunctions.h.

template<typename T >

T ei_hypot	(	T	x,
		T	y
	)			[inline]

Definition at line 285 of file MathFunctions.h.

long double ei_imag

(

long

double

)

[inline]

Definition at line 252 of file MathFunctions.h.

double ei_imag

(

const std::complex< double > &

x

)

[inline]

Definition at line 216 of file MathFunctions.h.

float ei_imag

(

const std::complex< float > &

x

)

[inline]

Definition at line 181 of file MathFunctions.h.

double ei_imag

(

double

)

[inline]

Definition at line 134 of file MathFunctions.h.

float ei_imag

(

float

)

[inline]

Definition at line 86 of file MathFunctions.h.

int ei_imag

(

int

)

[inline]

Definition at line 45 of file MathFunctions.h.

bool ei_isApprox	(	long double	a,
		long double	b,
		long double	prec = precision<long double>()
	)			[inline]

Definition at line 276 of file MathFunctions.h.

bool ei_isApprox	(	const std::complex< double > &	a,
		const std::complex< double > &	b,
		double	prec = precision<double>()
	)			[inline]

Definition at line 237 of file MathFunctions.h.

bool ei_isApprox	(	const std::complex< float > &	a,
		const std::complex< float > &	b,
		float	prec = precision<float>()
	)			[inline]

Definition at line 202 of file MathFunctions.h.

bool ei_isApprox	(	double	a,
		double	b,
		double	prec = precision<double>()
	)			[inline]

Definition at line 165 of file MathFunctions.h.

bool ei_isApprox	(	float	a,
		float	b,
		float	prec = precision<float>()
	)			[inline]

Definition at line 117 of file MathFunctions.h.

bool ei_isApprox	(	int	a,
		int	b,
		int	= precision<int>()
	)			[inline]

Definition at line 70 of file MathFunctions.h.

bool ei_isApproxOrLessThan	(	long double	a,
		long double	b,
		long double	prec = precision<long double>()
	)			[inline]

Definition at line 280 of file MathFunctions.h.

bool ei_isApproxOrLessThan	(	double	a,
		double	b,
		double	prec = precision<double>()
	)			[inline]

Definition at line 169 of file MathFunctions.h.

bool ei_isApproxOrLessThan	(	float	a,
		float	b,
		float	prec = precision<float>()
	)			[inline]

Definition at line 121 of file MathFunctions.h.

bool ei_isApproxOrLessThan	(	int	a,
		int	b,
		int	= precision<int>()
	)			[inline]

Definition at line 74 of file MathFunctions.h.

bool ei_isMuchSmallerThan	(	long double	a,
		long double	b,
		long double	prec = precision<long double>()
	)			[inline]

Definition at line 272 of file MathFunctions.h.

bool ei_isMuchSmallerThan	(	const std::complex< double > &	a,
		double	b,
		double	prec = precision<double>()
	)			[inline]

Definition at line 233 of file MathFunctions.h.

bool ei_isMuchSmallerThan	(	const std::complex< double > &	a,
		const std::complex< double > &	b,
		double	prec = precision<double>()
	)			[inline]

Definition at line 229 of file MathFunctions.h.

bool ei_isMuchSmallerThan	(	const std::complex< float > &	a,
		float	b,
		float	prec = precision<float>()
	)			[inline]

Definition at line 198 of file MathFunctions.h.

bool ei_isMuchSmallerThan	(	const std::complex< float > &	a,
		const std::complex< float > &	b,
		float	prec = precision<float>()
	)			[inline]

Definition at line 194 of file MathFunctions.h.

bool ei_isMuchSmallerThan	(	double	a,
		double	b,
		double	prec = precision<double>()
	)			[inline]

Definition at line 161 of file MathFunctions.h.

bool ei_isMuchSmallerThan	(	float	a,
		float	b,
		float	prec = precision<float>()
	)			[inline]

Definition at line 113 of file MathFunctions.h.

bool ei_isMuchSmallerThan	(	int	a,
		int	,
		int	= precision<int>()
	)			[inline]

Definition at line 66 of file MathFunctions.h.

long double ei_log

(

long double

x

)

[inline]

Definition at line 258 of file MathFunctions.h.

double ei_log

(

double

x

)

[inline]

Definition at line 140 of file MathFunctions.h.

float ei_log

(

float

x

)

[inline]

Definition at line 92 of file MathFunctions.h.

int ei_log

(

int

)

[inline]

Definition at line 51 of file MathFunctions.h.

long double ei_pow	(	long double	x,
		long double	y
	)			[inline]

Definition at line 262 of file MathFunctions.h.

double ei_pow	(	double	x,
		double	y
	)			[inline]

Definition at line 144 of file MathFunctions.h.

float ei_pow	(	float	x,
		float	y
	)			[inline]

Definition at line 96 of file MathFunctions.h.

int ei_pow	(	int	x,
		int	y
	)			[inline]

Definition at line 55 of file MathFunctions.h.

template<>

long double ei_random	(	long double	a,
		long double	b
	)			[inline]

Definition at line 264 of file MathFunctions.h.

template<>

double ei_random	(	double	a,
		double	b
	)			[inline]

Definition at line 146 of file MathFunctions.h.

template<>

float ei_random	(	float	a,
		float	b
	)			[inline]

Definition at line 98 of file MathFunctions.h.

template<>

long double ei_random

(

)

[inline]

Definition at line 268 of file MathFunctions.h.

template<>

int ei_random	(	int	a,
		int	b
	)			[inline]

Definition at line 57 of file MathFunctions.h.

template<typename T >

T ei_random

(

)

[inline]

Definition at line 268 of file MathFunctions.h.

template<typename T >

T ei_random	(	T	a,
		T	b
	)			[inline]

template<typename T >

T ei_random_amplitude

(

)

[inline]

Definition at line 32 of file MathFunctions.h.

long double ei_real

(

long double

x

)

[inline]

Definition at line 251 of file MathFunctions.h.

double ei_real

(

const std::complex< double > &

x

)

[inline]

Definition at line 215 of file MathFunctions.h.

float ei_real

(

const std::complex< float > &

x

)

[inline]

Definition at line 180 of file MathFunctions.h.

double ei_real

(

double

x

)

[inline]

Definition at line 133 of file MathFunctions.h.

float ei_real

(

float

x

)

[inline]

Definition at line 85 of file MathFunctions.h.

int ei_real

(

int

x

)

[inline]

Definition at line 44 of file MathFunctions.h.

long double ei_sin

(

long double

x

)

[inline]

Definition at line 259 of file MathFunctions.h.

std::complex<double> ei_sin

(

std::complex< double >

x

)

[inline]

Definition at line 221 of file MathFunctions.h.

std::complex<float> ei_sin

(

std::complex< float >

x

)

[inline]

Definition at line 186 of file MathFunctions.h.

double ei_sin

(

double

x

)

[inline]

Definition at line 141 of file MathFunctions.h.

float ei_sin

(

float

x

)

[inline]

Definition at line 93 of file MathFunctions.h.

int ei_sin

(

int

)

[inline]

Definition at line 52 of file MathFunctions.h.

long double ei_sqrt

(

long double

x

)

[inline]

Definition at line 256 of file MathFunctions.h.

double ei_sqrt

(

double

x

)

[inline]

Definition at line 138 of file MathFunctions.h.

float ei_sqrt

(

float

x

)

[inline]

Definition at line 90 of file MathFunctions.h.

int ei_sqrt

(

int

)

[inline]

Definition at line 49 of file MathFunctions.h.

template<typename T >

NumTraits<T>::Real machine_epsilon

(

)

[inline]

template<>

double machine_epsilon< double >

(

)

[inline]

template<>

float machine_epsilon< float >

(

)

[inline]

template<>

int machine_epsilon< int >

(

)

[inline]

template<>

long double machine_epsilon< long double >

(

)

[inline]

template<>

double machine_epsilon< std::complex< double > >

(

)

[inline]

template<>

float machine_epsilon< std::complex< float > >

(

)

[inline]

template<typename T >

NumTraits<T>::Real precision

(

)

[inline]

template<>

double precision< double >

(

)

[inline]

template<>

float precision< float >

(

)

[inline]

template<>

int precision< int >

(

)

[inline]

template<>

long double precision< long double >

(

)

[inline]

template<>

double precision< std::complex< double > >

(

)

[inline]

template<>

float precision< std::complex< float > >

(

)

[inline]