theoretica::phasor< Type > Class Template Reference

Complex number in exponential form \(\rho e^{i \theta}\). More...

#include <phasor.h>

Public Member Functions
	phasor ()
	Initialize as 0/0.
	phasor (Type modulus, Type phase)
	Initialize from two real numbers.
	phasor (const phasor &other)
	Initialize from another phasor.
template<typename T >
	phasor (const complex< T > &z)
	Construct a phasor from a complex number.
	phasor (Type r)
	Construct a phasor from a real number.
phasor &	operator= (const phasor &z)
	Assignment operator.
template<typename T >
phasor &	operator= (const std::array< T, 2 > &v)
	Assignment operator from a 2D array as {modulus, phase}.
Type	Re () const
	Get the real part of the complex number.
Type	Im () const
	Get the imaginary part of the complex number.
phasor	conjugate () const
	Compute the conjugate of the complex number.
Type	sqr_norm () const
	Compute the square norm of the complex number.
Type	norm () const
	Compute the norm of the complex number.
Type	inverse () const
	Compute the inverse of the complex number.
phasor &	invert ()
	Invert the complex number.
Type	arg () const
	Get the argument of the complex number.
phasor	operator+ (const phasor &other) const
	Add two phasors.
phasor	operator- (const phasor &other) const
	Subtract two phasors.
phasor	operator* (const phasor &other) const
	Multiply two phasors.
template<typename T >
phasor	operator* (const complex< T > &other) const
	Multiply a complex number in algebraic form and a phasor.
phasor	operator/ (const phasor &other) const
	Divide two phasors.
phasor &	operator+= (const phasor &other)
	Add a phasor to this one.
phasor &	operator-= (const phasor &other)
	Subtract a phasor from this one.
phasor &	operator*= (const phasor &other)
	Multiply this phasor by another one.
phasor &	operator/= (const phasor &other)
	Divide this phasor by another one.
bool	operator== (const phasor &z) const
	Check whether two phasors are the same.
bool	operator!= (const phasor &z) const
	Check whether two phasors are not the same.
template<typename T = Type>
complex< T >	to_complex () const
	Transform a phasor to a complex number.
template<typename T >
	operator complex< T > ()
	Cast to complex.
std::string	to_string (const std::string &separator=", ") const
	Convert the phasor to string representation.
	operator std::string ()
	Convert the phasor to string representation.

Static Public Member Functions
static phasor	rotor (Type rad)
	Construct a phasor representing a rotation of <rad> radians in 2 dimensions.
static phasor	i ()
	Imaginary unit in exponential form.

Public Attributes
Type	modulus
	Modulus of the complex number.
Type	phase
	Phase of the complex number.

Friends
Type	Re (const phasor &z)
	Extract the real part of the complex number.
Type	Im (const phasor &z)
	Extract the imaginary part of the complex number.
template<typename T >
phasor	operator* (const complex< T > &z, const phasor &w)
	Multiply a complex number in algebraic form and a phasor.
phasor	operator+ (Type r, const phasor &z)
phasor	operator- (Type r, const phasor &z)
phasor	operator* (Type r, const phasor &z)
phasor	operator/ (Type r, const phasor &z)
std::ostream &	operator<< (std::ostream &out, const phasor &obj)
	Stream the phasor in string representation to an output stream (std::ostream)

Detailed Description

template<typename Type = real>
class theoretica::phasor< Type >

Complex number in exponential form \(\rho e^{i \theta}\).

Member Function Documentation

operator+()

template<typename Type = real>

phasor theoretica::phasor< Type >::operator+ ( const phasor< Type > &  other ) const

inline

Add two phasors.

Note

This operation is particularly slow for phasors as opposed to complex numbers in algebraic form.

operator-()

template<typename Type = real>

phasor theoretica::phasor< Type >::operator- ( const phasor< Type > &  other ) const

inline

Subtract two phasors.

Note

This operation is particularly slow for phasors as opposed to complex numbers in algebraic form.

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

• /home/runner/work/theoretica/theoretica/src/complex/phasor.h