A complex number, similar to the C++ complex type. More...

Public Member Functions
	complex (const complex &) noexcept=default
	Copy construct. More...

complex &	operator= (const complex &) noexcept=default
	Copy assignment. More...

	complex (complex &&) noexcept=default
	Move construct. More...

complex &	operator= (complex &&) noexcept=default
	Move assignment. More...

constexpr	complex () noexcept
	Default construct, as zero-initialized. More...

constexpr	complex (const Foam::zero) noexcept
	Construct zero-initialized from zero class. More...

constexpr	complex (const scalar r) noexcept
	Construct from real component. More...

constexpr	complex (const scalar r, const scalar i) noexcept
	Construct from real and imaginary parts. More...

	complex (const std::complex< float > &c)
	Implicit construct from std::complex. More...

	complex (const std::complex< double > &c)
	Implicit construct from std::complex. More...

	complex (Istream &is)
	Construct from Istream. More...

constexpr scalar	real () const noexcept
	Real part of complex number - STL naming. More...

constexpr scalar	imag () const noexcept
	Imaginary part of complex number - STL naming. More...

void	real (scalar val) noexcept
	Set real part of complex number - STL naming. More...

void	imag (scalar val) noexcept
	Set imaginary part of complex number - STL naming. More...

complex	conjugate () const
	Complex conjugate. More...

scalar	magnitude () const
	The magnitude (L2-norm) of complex. Called magnitude() instead mag(), which looks too much like imag() More...

scalar	magSqr () const
	The L2-norm squared of complex. More...

scalar	cmptSum () const noexcept
	The sum of real/imag components. More...

	operator std::complex< scalar > () const
	Implicit conversion to std::complex. More...

void	operator= (const Foam::zero)
	Assign zero. More...

void	operator= (const scalar s)
	Assign scalar (imag = zero) More...

void	operator+= (const complex &c)

void	operator+= (const scalar s)

void	operator-= (const complex &c)

void	operator-= (const scalar s)

void	operator*= (const complex &c)

void	operator*= (const scalar s)

void	operator/= (const complex &c)

void	operator/= (const scalar s)

bool	operator== (const complex &c) const

bool	operator!= (const complex &c) const

scalar	Re () const noexcept
	Get real part of complex number. Same as real() More...

scalar	Im () const noexcept
	Get imaginary part of complex number. Same as imag() More...

scalar &	Re () noexcept
	Non-const access to real part. Prefer real() setter method. More...

scalar &	Im () noexcept
	Non-const access to imaginary part. Prefer imag() setter method. More...

Friends
complex	operator- (const complex &c)

complex	operator+ (const complex &c1, const complex &c2)

complex	operator+ (const complex &c, const scalar s)

complex	operator+ (const scalar s, const complex &c)

complex	operator- (const complex &c1, const complex &c2)

complex	operator- (const complex &c, const scalar s)

complex	operator- (const scalar s, const complex &c)

complex	operator* (const complex &c1, const complex &c2)

complex	operator* (const complex &c, const scalar s)

complex	operator* (const scalar s, const complex &c)

complex	operator/ (const complex &c1, const complex &c2)

complex	operator/ (const complex &c, const scalar s)

complex	operator/ (const scalar s, const complex &c)

Detailed Description

A complex number, similar to the C++ complex type.

Source files

Definition at line 70 of file complex.H.

Constructor & Destructor Documentation

◆ complex() [1/9]

complex ( const complex & )

defaultnoexcept

Copy construct.

◆ complex() [2/9]

complex ( complex && )

defaultnoexcept

Move construct.

◆ complex() [3/9]

constexpr complex ( )

inlinenoexcept

Default construct, as zero-initialized.

Definition at line 24 of file complexI.H.

◆ complex() [4/9]

constexpr complex ( const Foam::zero )

inlinenoexcept

Construct zero-initialized from zero class.

Definition at line 31 of file complexI.H.

◆ complex() [5/9]

constexpr complex ( const scalar r )

inlineexplicitnoexcept

Construct from real component.

Definition at line 38 of file complexI.H.

◆ complex() [6/9]

constexpr complex	(	const scalar	r,
		const scalar	i
	)

inlinenoexcept

Construct from real and imaginary parts.

Definition at line 45 of file complexI.H.

◆ complex() [7/9]

complex ( const std::complex< float > & c )

inline

Implicit construct from std::complex.

Definition at line 52 of file complexI.H.

◆ complex() [8/9]

complex ( const std::complex< double > & c )

inline

Implicit construct from std::complex.

Definition at line 59 of file complexI.H.

◆ complex() [9/9]

complex ( Istream & is )

explicit

Construct from Istream.

Definition at line 56 of file complex.C.

Member Function Documentation

◆ operator=() [1/4]

complex& operator= ( const complex & )

defaultnoexcept

Copy assignment.

◆ operator=() [2/4]

complex& operator= ( complex && )

defaultnoexcept

Move assignment.

◆ real() [1/2]

constexpr scalar real ( ) const

inlinenoexcept

Real part of complex number - STL naming.

Definition at line 150 of file complex.H.

Referenced by Foam::lerp().

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◆ imag() [1/2]

constexpr scalar imag ( ) const

inlinenoexcept

Imaginary part of complex number - STL naming.

Definition at line 155 of file complex.H.

Referenced by Foam::lerp().

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◆ real() [2/2]

void real ( scalar val )

inlinenoexcept

Set real part of complex number - STL naming.

Definition at line 160 of file complex.H.

◆ imag() [2/2]

void imag ( scalar val )

inlinenoexcept

Set imaginary part of complex number - STL naming.

Definition at line 165 of file complex.H.

◆ conjugate()

Foam::complex conjugate ( ) const

inline

Complex conjugate.

Definition at line 68 of file complexI.H.

References Foam::roots::complex, and Foam::constant::atomic::re.

◆ magnitude()

Foam::scalar magnitude ( ) const

inline

The magnitude (L2-norm) of complex. Called magnitude() instead mag(), which looks too much like imag()

Definition at line 74 of file complexI.H.

References Foam::hypot(), and Foam::constant::atomic::re.

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◆ magSqr()

Foam::scalar magSqr ( ) const

inline

The L2-norm squared of complex.

Definition at line 80 of file complexI.H.

References Foam::constant::atomic::re.

◆ cmptSum()

Foam::scalar cmptSum ( ) const

inlinenoexcept

The sum of real/imag components.

Definition at line 86 of file complexI.H.

References Foam::constant::atomic::re.

◆ operator std::complex< scalar >()

operator std::complex< scalar > ( ) const

inline

Implicit conversion to std::complex.

Definition at line 197 of file complex.H.

◆ operator=() [3/4]

void operator= ( const Foam::zero )

inline

Assign zero.

Definition at line 94 of file complexI.H.

References Foam::constant::atomic::re.

◆ operator=() [4/4]

void operator= ( const scalar s )

inline

Assign scalar (imag = zero)

Definition at line 101 of file complexI.H.

References Foam::constant::atomic::re, and s.

◆ operator+=() [1/2]

void operator+= ( const complex & c )

inline

Definition at line 108 of file complexI.H.

References Foam::constant::universal::c, and Foam::constant::atomic::re.

◆ operator+=() [2/2]

void operator+= ( const scalar s )

inline

Definition at line 115 of file complexI.H.

References Foam::constant::atomic::re, and s.

◆ operator-=() [1/2]

void operator-= ( const complex & c )

inline

Definition at line 121 of file complexI.H.

References Foam::constant::universal::c, and Foam::constant::atomic::re.

◆ operator-=() [2/2]

void operator-= ( const scalar s )

inline

Definition at line 128 of file complexI.H.

References Foam::constant::atomic::re, and s.

◆ operator*=() [1/2]

void operator*= ( const complex & c )

inline

Definition at line 134 of file complexI.H.

References Foam::constant::universal::c.

◆ operator*=() [2/2]

void operator*= ( const scalar s )

inline

Definition at line 140 of file complexI.H.

References Foam::constant::atomic::re, and s.

◆ operator/=() [1/2]

void operator/= ( const complex & c )

inline

Definition at line 147 of file complexI.H.

References Foam::constant::universal::c.

◆ operator/=() [2/2]

void operator/= ( const scalar s )

inline

Definition at line 153 of file complexI.H.

References Foam::constant::atomic::re, and s.

◆ operator==()

bool operator== ( const complex & c ) const

inline

Definition at line 160 of file complexI.H.

References Foam::constant::universal::c, Foam::equal(), and Foam::constant::atomic::re.

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◆ operator!=()

bool operator!= ( const complex & c ) const

inline

Definition at line 166 of file complexI.H.

References Foam::constant::universal::c, and Foam::operator==().

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◆ Re() [1/2]

scalar Re ( ) const

inlinenoexcept

Get real part of complex number. Same as real()

Definition at line 255 of file complex.H.

◆ Im() [1/2]

scalar Im ( ) const

inlinenoexcept

Get imaginary part of complex number. Same as imag()

Definition at line 260 of file complex.H.

◆ Re() [2/2]

scalar& Re ( )

inlinenoexcept

Non-const access to real part. Prefer real() setter method.

Definition at line 265 of file complex.H.

◆ Im() [2/2]

scalar& Im ( )

inlinenoexcept

Non-const access to imaginary part. Prefer imag() setter method.

Definition at line 270 of file complex.H.

Friends And Related Function Documentation

◆ operator- [1/4]

complex operator- ( const complex & c )

friend

Definition at line 278 of file complexI.H.

◆ operator+ [1/3]

complex operator+	(	const complex &	c1,
		const complex &	c2
	)

friend

Definition at line 284 of file complexI.H.

◆ operator+ [2/3]

complex operator+	(	const complex &	c,
		const scalar	s
	)

friend

Definition at line 294 of file complexI.H.

◆ operator+ [3/3]

complex operator+	(	const scalar	s,
		const complex &	c
	)

friend

Definition at line 300 of file complexI.H.

◆ operator- [2/4]

complex operator-	(	const complex &	c1,
		const complex &	c2
	)

friend

Definition at line 306 of file complexI.H.

◆ operator- [3/4]

complex operator-	(	const complex &	c,
		const scalar	s
	)

friend

Definition at line 316 of file complexI.H.

◆ operator- [4/4]

complex operator-	(	const scalar	s,
		const complex &	c
	)

friend

Definition at line 322 of file complexI.H.

◆ operator* [1/3]

complex operator*	(	const complex &	c1,
		const complex &	c2
	)

friend

Definition at line 328 of file complexI.H.

◆ operator* [2/3]

complex operator*	(	const complex &	c,
		const scalar	s
	)

friend

Definition at line 338 of file complexI.H.

◆ operator* [3/3]

complex operator*	(	const scalar	s,
		const complex &	c
	)

friend

Definition at line 344 of file complexI.H.

◆ operator/ [1/3]

complex operator/	(	const complex &	c1,
		const complex &	c2
	)

friend

Definition at line 350 of file complexI.H.

◆ operator/ [2/3]

complex operator/	(	const complex &	c,
		const scalar	s
	)

friend

Definition at line 362 of file complexI.H.

◆ operator/ [3/3]

complex operator/	(	const scalar	s,
		const complex &	c
	)

friend

Definition at line 368 of file complexI.H.

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

src/OpenFOAM/primitives/complex/complex.H
src/OpenFOAM/primitives/complex/complex.C
src/OpenFOAM/primitives/complex/complexI.H

Public Member Functions

Friends

Detailed Description

Constructor & Destructor Documentation

◆ complex() [1/9]

◆ complex() [2/9]

◆ complex() [3/9]

◆ complex() [4/9]

◆ complex() [5/9]

◆ complex() [6/9]

◆ complex() [7/9]

◆ complex() [8/9]

◆ complex() [9/9]

Member Function Documentation

◆ operator=() [1/4]

◆ operator=() [2/4]

◆ real() [1/2]

◆ imag() [1/2]

◆ real() [2/2]

◆ imag() [2/2]

◆ conjugate()

◆ magnitude()

◆ magSqr()

◆ cmptSum()

◆ operator std::complex< scalar >()

◆ operator=() [3/4]

◆ operator=() [4/4]

◆ operator+=() [1/2]

◆ operator+=() [2/2]

◆ operator-=() [1/2]

◆ operator-=() [2/2]

◆ operator*=() [1/2]

◆ operator*=() [2/2]

◆ operator/=() [1/2]

◆ operator/=() [2/2]

◆ operator==()

◆ operator!=()

◆ Re() [1/2]

◆ Im() [1/2]

◆ Re() [2/2]

◆ Im() [2/2]

Friends And Related Function Documentation

◆ operator- [1/4]

◆ operator+ [1/3]

◆ operator+ [2/3]

◆ operator+ [3/3]

◆ operator- [2/4]

◆ operator- [3/4]

◆ operator- [4/4]

◆ operator* [1/3]

◆ operator* [2/3]

◆ operator* [3/3]

◆ operator/ [1/3]

◆ operator/ [2/3]

◆ operator/ [3/3]