capd::fields Namespace Reference

Classes
class	Complex
	Class Complex represents complex number. More...
class	Complex< double >
class	Complex< float >
class	Complex< long double >

Functions
template<class T >
T	real (const Complex< T > &z)
	returns the real component More...
template<class T >
T	imag (const Complex< T > &z)
	returns the imaginary component More...
template<class T >
T	abs (const Complex< T > &z)
	returns the magnitude of a complex number More...
template<class T >
T	arg (const Complex< T > &z)
	returns the phase angle More...
template<class T >
T	norm (const Complex< T > &z)
	returns the squared magnitude More...
template<class T >
Complex< T >	conj (const Complex< T > &z)
	returns the complex conjugate More...
template<class T >
Complex< T >	polar (const T &r, const T &theta=T())
	constructs a complex number from magnitude r and phase angle theta More...
template<typename T >
bool	intersection (const Complex< T > &a, const Complex< T > &b, Complex< T > &result)
template<typename T >
const Complex< T >	intervalHull (const Complex< T > &a, const Complex< T > &b)
template<typename T >
Complex< T >	power (const Complex< T > &x, int n)
	TODO: this is a naive implementation. Should be improved. More...
template<typename T >
Complex< T >	mid (const Complex< T > &x)

Function Documentation

abs()

template<class T >

T capd::fields::abs

(

const Complex< T > &

z

)

returns the magnitude of a complex number

arg()

template<class T >

T capd::fields::arg

(

const Complex< T > &

z

)

returns the phase angle

conj()

template<class T >

Complex<T> capd::fields::conj

(

const Complex< T > &

z

)

returns the complex conjugate

imag()

template<class T >

T capd::fields::imag

(

const Complex< T > &

z

)

returns the imaginary component

intersection()

template<typename T >

bool capd::fields::intersection	(	const Complex< T > &	a,
		const Complex< T > &	b,
		Complex< T > &	result
	)

intervalHull()

template<typename T >

const Complex<T> capd::fields::intervalHull	(	const Complex< T > &	a,
		const Complex< T > &	b
	)

mid()

template<typename T >

Complex<T> capd::fields::mid

(

const Complex< T > &

x

)

norm()

template<class T >

T capd::fields::norm

(

const Complex< T > &

z

)

returns the squared magnitude

polar()

template<class T >

Complex<T> capd::fields::polar	(	const T &	r,
		const T &	theta = T()
	)

constructs a complex number from magnitude r and phase angle theta

power()

template<typename T >

Complex<T> capd::fields::power ( const Complex< T > &  x, int  n  )

inline

TODO: this is a naive implementation. Should be improved.

real()

template<class T >

T capd::fields::real

(

const Complex< T > &

z

)

returns the real component