#include <complex_op.hpp>

Collaboration diagram for alps::alea::complex_op< T >:

Public Member Functions
	complex_op ()

	complex_op (double x)

	complex_op (T rere, T reim, T imre, T imim)

T &	rere ()

T &	reim ()

T &	imre ()

T &	imim ()

const T &	rere () const

const T &	reim () const

const T &	imre () const

const T &	imim () const

complex_op &	operator+= (complex_op x)

complex_op &	operator-= (complex_op x)

complex_op &	operator*= (double x)

complex_op &	operator/= (double x)

Static Public Member Functions
static complex_op	outer (std::complex< T > a, std::complex< T > b)

static complex_op	diag (std::complex< T > a)

static complex_op	diag (T a)

Friends
complex_op	operator- (complex_op x)

complex_op	operator+ (complex_op l, complex_op r)

complex_op	operator- (complex_op l, complex_op r)

complex_op	operator* (complex_op x, double f)

complex_op	operator* (double f, complex_op x)

complex_op	operator/ (complex_op x, double f)

complex_op	dot (complex_op l, complex_op r)

complex_op	solve (complex_op l, complex_op r)

bool	operator== (complex_op l, complex_op r)

bool	operator!= (complex_op l, complex_op r)

complex_op	inv (complex_op x)

complex_op	abs2 (complex_op x)

complex_op	sqrt (complex_op x)

bool	isnan (complex_op x)

bool	isfinite (complex_op x)

bool	isinf (complex_op x)

complex_op	abs (complex_op x)

std::ostream &	operator<< (std::ostream &out, complex_op x)

Detailed Description

template<typename T>
class alps::alea::complex_op< T >

General linear operation on a complex number.

If one interprets a complex number x as column vector given by { x.real(), x.imag() }, the effect of an complex_op A is equivalent to the left multiplication with the 2x2 matrix:

{{ A.rere(), A.reim() },
 { A.imre(), A.imim() }}

(The elements are laid out in that way as well.) If one identifies the imaginary part of the result with the prefactor of 'j', then complex_op is equivalent to a quarternion a + b*i + c*j + d*k.

Note that dot(a, b) must be used to multiply two complex_op instances and solve(a, b) for division because multiplication is not commutative.

Definition at line 20 of file complex_op.hpp.

Constructor & Destructor Documentation

template<typename T>

alps::alea::complex_op< T >::complex_op ( )

inline

Default constructed (uninitialized)

Definition at line 70 of file complex_op.hpp.

template<typename T>

alps::alea::complex_op< T >::complex_op ( double x )

inline

Scaling transformation

Definition at line 73 of file complex_op.hpp.

template<typename T>

alps::alea::complex_op< T >::complex_op	(	T	rere,
		T	reim,
		T	imre,
		T	imim
	)

inline

Construct new operation

Definition at line 76 of file complex_op.hpp.

Member Function Documentation

template<typename T>

static complex_op alps::alea::complex_op< T >::diag ( std::complex< T > a )

inlinestatic

Definition at line 61 of file complex_op.hpp.

template<typename T>

static complex_op alps::alea::complex_op< T >::diag ( T a )

inlinestatic

Definition at line 66 of file complex_op.hpp.

template<typename T>

T& alps::alea::complex_op< T >::imim ( )

inline

Definition at line 87 of file complex_op.hpp.

template<typename T>

const T& alps::alea::complex_op< T >::imim ( ) const

inline

Definition at line 92 of file complex_op.hpp.

template<typename T>

T& alps::alea::complex_op< T >::imre ( )

inline

Definition at line 86 of file complex_op.hpp.

template<typename T>

const T& alps::alea::complex_op< T >::imre ( ) const

inline

Definition at line 91 of file complex_op.hpp.

template<typename T>

complex_op& alps::alea::complex_op< T >::operator*= ( double x )

inline

Definition at line 108 of file complex_op.hpp.

template<typename T>

complex_op& alps::alea::complex_op< T >::operator+= ( complex_op< T > x )

inline

Definition at line 94 of file complex_op.hpp.

template<typename T>

complex_op& alps::alea::complex_op< T >::operator-= ( complex_op< T > x )

inline

Definition at line 101 of file complex_op.hpp.

template<typename T>

complex_op& alps::alea::complex_op< T >::operator/= ( double x )

inline

Definition at line 117 of file complex_op.hpp.

template<typename T>

static complex_op alps::alea::complex_op< T >::outer	(	std::complex< T >	a,
		std::complex< T >	b
	)

inlinestatic

Definition at line 55 of file complex_op.hpp.

template<typename T>

T& alps::alea::complex_op< T >::reim ( )

inline

Definition at line 85 of file complex_op.hpp.

template<typename T>

const T& alps::alea::complex_op< T >::reim ( ) const

inline

Definition at line 90 of file complex_op.hpp.

template<typename T>

T& alps::alea::complex_op< T >::rere ( )

inline

Definition at line 84 of file complex_op.hpp.

template<typename T>

const T& alps::alea::complex_op< T >::rere ( ) const

inline

Definition at line 89 of file complex_op.hpp.

Friends And Related Function Documentation

template<typename T>

complex_op abs ( complex_op< T > x )

friend

Definition at line 224 of file complex_op.hpp.

template<typename T>

complex_op abs2 ( complex_op< T > x )

friend

Definition at line 178 of file complex_op.hpp.

template<typename T>

complex_op dot	(	complex_op< T >	l,
		complex_op< T >	r
	)

friend

Definition at line 146 of file complex_op.hpp.

template<typename T>

complex_op inv ( complex_op< T > x )

friend

Definition at line 170 of file complex_op.hpp.

template<typename T>

bool isfinite ( complex_op< T > x )

friend

Definition at line 209 of file complex_op.hpp.

template<typename T>

bool isinf ( complex_op< T > x )

friend

Definition at line 214 of file complex_op.hpp.

template<typename T>

bool isnan ( complex_op< T > x )

friend

Definition at line 204 of file complex_op.hpp.

template<typename T>

bool operator!=	(	complex_op< T >	l,
		complex_op< T >	r
	)

friend

Definition at line 165 of file complex_op.hpp.

template<typename T>

complex_op operator*	(	complex_op< T >	x,
		double	f
	)

friend

Definition at line 134 of file complex_op.hpp.

template<typename T>

complex_op operator*	(	double	f,
		complex_op< T >	x
	)

friend

Definition at line 139 of file complex_op.hpp.

template<typename T>

complex_op operator+	(	complex_op< T >	l,
		complex_op< T >	r
	)

friend

Definition at line 124 of file complex_op.hpp.

template<typename T>

complex_op operator- ( complex_op< T > x )

friend

Definition at line 119 of file complex_op.hpp.

template<typename T>

complex_op operator-	(	complex_op< T >	l,
		complex_op< T >	r
	)

friend

Definition at line 129 of file complex_op.hpp.

template<typename T>

complex_op operator/	(	complex_op< T >	x,
		double	f
	)

friend

Definition at line 141 of file complex_op.hpp.

template<typename T>

std::ostream& operator<<	(	std::ostream &	out,
		complex_op< T >	x
	)

friend

Definition at line 226 of file complex_op.hpp.

template<typename T>

bool operator==	(	complex_op< T >	l,
		complex_op< T >	r
	)

friend

Definition at line 160 of file complex_op.hpp.

template<typename T>

complex_op solve	(	complex_op< T >	l,
		complex_op< T >	r
	)

friend

Definition at line 155 of file complex_op.hpp.

template<typename T>

complex_op sqrt ( complex_op< T > x )

friend

Definition at line 187 of file complex_op.hpp.

The documentation for this class was generated from the following file:

alps/alea/complex_op.hpp

Public Member Functions

Static Public Member Functions

Friends

Detailed Description

template<typename T> class alps::alea::complex_op< T >

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

template<typename T>
class alps::alea::complex_op< T >