Templated 3D Vector derived from VectorSpace adding construction from 3 components, element access using x(), y() and z() member functions and the inner-product (dot-product) and cross-product operators. More...

Inheritance diagram for Vector< Cmpt >:

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Collaboration diagram for Vector< Cmpt >:

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Public Types
enum	components { X, Y, Z }
	Component labeling enumeration. More...

typedef Vector< label >	labelType
	Equivalent type of labels used for valid component indexing. More...

Public Types inherited from VectorSpace< Vector< Cmpt >, Cmpt, 3 >
typedef VectorSpace< Vector< Cmpt >, Cmpt, Ncmpts >	vsType
	VectorSpace type. More...

typedef Cmpt	cmptType
	Component type. More...

typedef Cmpt	magType
	Magnitude type. More...

typedef direction	size_type
	The type to represent the size of a VectorSpace. More...

typedef Cmpt *	iterator
	Random access iterator for traversing VectorSpace. More...

typedef const Cmpt *	const_iterator
	Random access iterator for traversing VectorSpace. More...

Public Member Functions
	Vector ()=default
	Default construct. More...

	Vector (const Vector &)=default
	Copy construct. More...

Vector &	operator= (const Vector &)=default
	Copy assignment. More...

	Vector (const Foam::zero)
	Construct initialized to zero. More...

template<class Cmpt2 >
	Vector (const VectorSpace< Vector< Cmpt2 >, Cmpt2, 3 > &vs)
	Copy construct from VectorSpace of the same rank. More...

	Vector (const Cmpt &vx, const Cmpt &vy, const Cmpt &vz)
	Construct from three components. More...

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

const Cmpt &	x () const noexcept
	Access to the vector x component. More...

const Cmpt &	y () const noexcept
	Access to the vector y component. More...

const Cmpt &	z () const noexcept
	Access to the vector z component. More...

Cmpt &	x () noexcept
	Access to the vector x component. More...

Cmpt &	y () noexcept
	Access to the vector y component. More...

Cmpt &	z () noexcept
	Access to the vector z component. More...

const Vector< Cmpt > &	centre (const Foam::UList< Vector< Cmpt >> &) const noexcept
	Return `this` (for point which is a typedef to Vector<scalar>) More...

scalar	mag () const
	The length (L2-norm) of the vector. More...

scalar	magSqr () const
	The length (L2-norm) squared of the vector. More...

scalar	dist (const Vector< Cmpt > &v2) const
	The L2-norm distance from another vector. The mag() of the difference. More...

scalar	distSqr (const Vector< Cmpt > &v2) const
	The L2-norm distance squared from another vector. The magSqr() of the difference. More...

Vector< Cmpt > &	normalise (const scalar tol=ROOTVSMALL)
	Inplace normalise the vector by its magnitude. More...

Vector< Cmpt > &	removeCollinear (const Vector< Cmpt > &unitVec)
	Inplace removal of components that are collinear to the given unit vector. More...

Cmpt	inner (const Vector< Cmpt > &v2) const
	Scalar-product of `this` with another Vector. More...

Vector< Cmpt >	cross (const Vector< Cmpt > &v2) const
	Cross-product of `this` with another Vector. More...

Public Member Functions inherited from VectorSpace< Vector< Cmpt >, Cmpt, 3 >
	VectorSpace ()=default
	Default construct. More...

	VectorSpace (Foam::zero)
	Construct initialized to zero. More...

	VectorSpace (const VectorSpace< Vector< Cmpt >, Cmpt, Ncmpts > &vs)
	Copy construct. More...

	VectorSpace (const VectorSpace< Form2, Cmpt2, Ncmpts > &)
	Copy construct of a VectorSpace with the same size. More...

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

const Cmpt &	component (const direction) const

Cmpt &	component (const direction)

void	component (Cmpt &, const direction) const

void	replace (const direction, const Cmpt &)

const Cmpt *	cdata () const noexcept
	Return const pointer to the first data element. More...

Cmpt *	data () noexcept
	Return pointer to the first data element. More...

void	fill (const Cmpt &s)
	Assign all components to given value. More...

const ConstBlock< SubVector, BStart >	block () const

const Foam::VectorSpace< Vector< Cmpt >, Cmpt, Ncmpts >::template ConstBlock< SubVector, BStart >	block () const

const Cmpt &	operator[] (const direction) const

Cmpt &	operator[] (const direction)

void	operator= (const VectorSpace< Vector< Cmpt >, Cmpt, Ncmpts > &)

void	operator= (Foam::zero)

void	operator+= (const VectorSpace< Vector< Cmpt >, Cmpt, Ncmpts > &)

void	operator-= (const VectorSpace< Vector< Cmpt >, Cmpt, Ncmpts > &)

void	operator*= (const scalar)

void	operator/= (const scalar)

iterator	begin () noexcept
	Return an iterator (pointer) to begin of VectorSpace. More...

const_iterator	begin () const noexcept
	Return const_iterator (const pointer) to begin of VectorSpace. More...

const_iterator	cbegin () const noexcept
	Return const_iterator (const pointer) to begin of VectorSpace. More...

iterator	end () noexcept
	Return an iterator (pointer) to end of VectorSpace. More...

const_iterator	end () const noexcept
	Return const_iterator (const pointer) to end of VectorSpace. More...

const_iterator	cend () const noexcept
	Return const_iterator (const pointer) to end of VectorSpace. More...

Static Public Member Functions
static bool	less_xyz (const Vector< Cmpt > &a, const Vector< Cmpt > &b)
	Lexicographically compare a and b with order (x:y:z) More...

static bool	less_yzx (const Vector< Cmpt > &a, const Vector< Cmpt > &b)
	Lexicographically compare a and b with order (y:z:x) More...

static bool	less_zxy (const Vector< Cmpt > &a, const Vector< Cmpt > &b)
	Lexicographically compare a and b with order (z:x:y) More...

Static Public Member Functions inherited from VectorSpace< Vector< Cmpt >, Cmpt, 3 >
static constexpr direction	size () noexcept
	The number of elements in the VectorSpace = Ncmpts. More...

static Vector< Cmpt >	uniform (const Cmpt &s)
	Return a VectorSpace with all elements = s. More...

Static Public Attributes
static constexpr direction	rank = 1
	Rank of Vector is 1. More...

Static Public Attributes inherited from VectorSpace< Vector< Cmpt >, Cmpt, 3 >
static constexpr direction	dim
	Dimensionality of space. More...

static constexpr direction	nComponents
	Number of components in this vector space. More...

static constexpr direction	mRows

static constexpr direction	nCols

static const char *const	typeName

static const char *const	componentNames []

static const Vector< Cmpt >	zero

static const Vector< Cmpt >	one

static const Vector< Cmpt >	max

static const Vector< Cmpt >	min

static const Vector< Cmpt >	rootMax

static const Vector< Cmpt >	rootMin

Additional Inherited Members
Public Attributes inherited from VectorSpace< Vector< Cmpt >, Cmpt, 3 >
Cmpt	v_ [Ncmpts]
	The components of this vector space. More...

Detailed Description

template<class Cmpt>
class Foam::Vector< Cmpt >

Templated 3D Vector derived from VectorSpace adding construction from 3 components, element access using x(), y() and z() member functions and the inner-product (dot-product) and cross-product operators.

A centre() member function which returns the Vector for which it is called is defined so that point which is a typedef to Vector<scalar> behaves as other shapes in the shape hierarchy.

Source files

Definition at line 58 of file Vector.H.

Member Typedef Documentation

◆ labelType

typedef Vector<label> labelType

Equivalent type of labels used for valid component indexing.

Definition at line 69 of file Vector.H.

Member Enumeration Documentation

◆ components

enum components

Component labeling enumeration.

Enumerator
X
Y
Z

Definition at line 83 of file Vector.H.

Constructor & Destructor Documentation

◆ Vector() [1/6]

Vector ( )

default

Default construct.

◆ Vector() [2/6]

Vector ( const Vector< Cmpt > & )

default

Copy construct.

◆ Vector() [3/6]

Vector ( const Foam::zero )

inline

Construct initialized to zero.

Definition at line 25 of file VectorI.H.

◆ Vector() [4/6]

Vector ( const VectorSpace< Vector< Cmpt2 >, Cmpt2, 3 > & vs )

inline

Copy construct from VectorSpace of the same rank.

Definition at line 34 of file VectorI.H.

◆ Vector() [5/6]

Vector	(	const Cmpt &	vx,
		const Cmpt &	vy,
		const Cmpt &	vz
	)

inline

Construct from three components.

Definition at line 44 of file VectorI.H.

◆ Vector() [6/6]

Vector ( Istream & is )

inlineexplicit

Construct from Istream.

Definition at line 57 of file VectorI.H.

Member Function Documentation

◆ operator=()

Vector& operator= ( const Vector< Cmpt > & )

default

Copy assignment.

Referenced by triad::operator=().

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◆ x() [1/2]

const Cmpt& x ( ) const

inlinenoexcept

Access to the vector x component.

Definition at line 135 of file Vector.H.

Referenced by SymmTensor< scalar >::addDiag(), Tensor< scalar >::addDiag(), BarycentricTensor< Cmpt >::BarycentricTensor(), blockDescriptor::blockDescriptor(), PDRblock::blockMeshDict(), PDRblock::C(), energySpectrum::calcAndWriteSpectrum(), ijkAddressing::checkIndex(), Tensor< scalar >::col(), Tensor< scalar >::cols(), Vector< Foam::List< scalar > >::cross(), volumetricBSplinesDesignVariables::dCdb(), volBSplinesBase::decomposeDV(), SymmTensor< scalar >::diag(), Tensor< scalar >::diag(), Vector< Foam::List< scalar > >::distSqr(), volumetricBSplinesDesignVariables::dndb(), volumetricBSplinesDesignVariables::dSdb(), PDRblock::dx(), volumetricBSplinesDesignVariables::dxdbFace(), volumetricBSplinesDesignVariables::dxdbVol(), Foam::eigenVector(), Foam::eigenVectors(), Foam::faceNij(), Foam::facePoint(), Foam::facePointN(), PDRblock::grid(), ijkAddressing::index(), voxelMeshSearch::index(), voxelMeshSearch::index3(), Vector< Foam::List< scalar > >::inner(), cellShapeControlMesh::insert(), Foam::lerp(), Vector< Foam::List< scalar > >::less_xyz(), Vector< Foam::List< scalar > >::less_yzx(), Vector< Foam::List< scalar > >::less_zxy(), Field< Foam::vector >::normalise(), voxelMeshSearch::offset(), Foam::operator &(), Foam::operator*(), Foam::operator/(), Foam::operator^(), ijkMesh::pointLabel(), projectFace::project(), PDRblock::reset(), IjkField< Foam::vector >::resize(), SymmTensor< scalar >::row(), Tensor< scalar >::row(), Tensor< scalar >::rows(), SpatialVector< scalar >::SpatialVector(), Foam::sqr(), SymmTensor< scalar >::subtractDiag(), Tensor< scalar >::subtractDiag(), PDRblock::V(), and ijkMesh::vertLabels().

◆ y() [1/2]

const Cmpt& y ( ) const

inlinenoexcept

Access to the vector y component.

Definition at line 140 of file Vector.H.

Referenced by SymmTensor< scalar >::addDiag(), Tensor< scalar >::addDiag(), BarycentricTensor< Cmpt >::BarycentricTensor(), blockDescriptor::blockDescriptor(), PDRblock::blockMeshDict(), PDRblock::C(), energySpectrum::calcAndWriteSpectrum(), ijkAddressing::checkIndex(), Tensor< scalar >::col(), Tensor< scalar >::cols(), Vector< Foam::List< scalar > >::cross(), volumetricBSplinesDesignVariables::dCdb(), volBSplinesBase::decomposeDV(), SymmTensor< scalar >::diag(), Tensor< scalar >::diag(), Vector< Foam::List< scalar > >::distSqr(), volumetricBSplinesDesignVariables::dndb(), volumetricBSplinesDesignVariables::dSdb(), volumetricBSplinesDesignVariables::dxdbFace(), volumetricBSplinesDesignVariables::dxdbVol(), PDRblock::dy(), Foam::eigenVector(), Foam::eigenVectors(), Foam::faceNij(), Foam::facePoint(), Foam::facePointN(), PDRblock::grid(), ijkAddressing::index(), voxelMeshSearch::index(), voxelMeshSearch::index3(), Vector< Foam::List< scalar > >::inner(), cellShapeControlMesh::insert(), Foam::lerp(), Vector< Foam::List< scalar > >::less_xyz(), Vector< Foam::List< scalar > >::less_yzx(), Vector< Foam::List< scalar > >::less_zxy(), Field< Foam::vector >::normalise(), voxelMeshSearch::offset(), Foam::operator &(), Foam::operator*(), Foam::operator/(), Foam::operator^(), ijkMesh::pointLabel(), projectFace::project(), PDRblock::reset(), IjkField< Foam::vector >::resize(), SymmTensor< scalar >::row(), Tensor< scalar >::row(), Tensor< scalar >::rows(), SpatialVector< scalar >::SpatialVector(), Foam::sqr(), SymmTensor< scalar >::subtractDiag(), Tensor< scalar >::subtractDiag(), PDRblock::V(), and ijkMesh::vertLabels().

◆ z() [1/2]

const Cmpt& z ( ) const

inlinenoexcept

Access to the vector z component.

Definition at line 145 of file Vector.H.

Referenced by SymmTensor< scalar >::addDiag(), Tensor< scalar >::addDiag(), BarycentricTensor< Cmpt >::BarycentricTensor(), blockDescriptor::blockDescriptor(), PDRblock::blockMeshDict(), PDRblock::C(), energySpectrum::calcAndWriteSpectrum(), ijkAddressing::checkIndex(), Tensor< scalar >::col(), Tensor< scalar >::cols(), Vector< Foam::List< scalar > >::cross(), volumetricBSplinesDesignVariables::dCdb(), volBSplinesBase::decomposeDV(), SymmTensor< scalar >::diag(), Tensor< scalar >::diag(), Vector< Foam::List< scalar > >::distSqr(), volumetricBSplinesDesignVariables::dndb(), volumetricBSplinesDesignVariables::dSdb(), volumetricBSplinesDesignVariables::dxdbFace(), volumetricBSplinesDesignVariables::dxdbVol(), PDRblock::dz(), Foam::eigenVector(), Foam::eigenVectors(), Foam::faceNij(), Foam::facePoint(), Foam::facePointN(), PDRblock::grid(), ijkAddressing::index(), voxelMeshSearch::index(), voxelMeshSearch::index3(), Vector< Foam::List< scalar > >::inner(), cellShapeControlMesh::insert(), Foam::lerp(), Vector< Foam::List< scalar > >::less_xyz(), Vector< Foam::List< scalar > >::less_yzx(), Vector< Foam::List< scalar > >::less_zxy(), Field< Foam::vector >::normalise(), Foam::operator &(), Foam::operator*(), Foam::operator/(), Foam::operator^(), ijkMesh::pointLabel(), projectFace::project(), PDRblock::reset(), IjkField< Foam::vector >::resize(), SymmTensor< scalar >::row(), Tensor< scalar >::row(), SymmTensor< scalar >::rows(), Tensor< scalar >::rows(), SpatialVector< scalar >::SpatialVector(), Foam::sqr(), SymmTensor< scalar >::subtractDiag(), Tensor< scalar >::subtractDiag(), PDRblock::V(), and ijkMesh::vertLabels().

◆ x() [2/2]

Cmpt& x ( )

inlinenoexcept

Access to the vector x component.

Definition at line 150 of file Vector.H.

◆ y() [2/2]

Cmpt& y ( )

inlinenoexcept

Access to the vector y component.

Definition at line 155 of file Vector.H.

◆ z() [2/2]

Cmpt& z ( )

inlinenoexcept

Access to the vector z component.

Definition at line 160 of file Vector.H.

◆ centre()

const Foam::Vector< Cmpt > & centre ( const Foam::UList< Vector< Cmpt >> & ) const

inlinenoexcept

Return this (for point which is a typedef to Vector<scalar>)

Definition at line 67 of file VectorI.H.

◆ mag()

Foam::scalar mag ( ) const

inline

The length (L2-norm) of the vector.

Definition at line 88 of file VectorI.H.

◆ magSqr()

Foam::scalar magSqr ( ) const

inline

The length (L2-norm) squared of the vector.

Definition at line 76 of file VectorI.H.

◆ dist()

Foam::scalar dist ( const Vector< Cmpt > & v2 ) const

inline

The L2-norm distance from another vector. The mag() of the difference.

Definition at line 107 of file VectorI.H.

◆ distSqr()

Foam::scalar distSqr ( const Vector< Cmpt > & v2 ) const

inline

The L2-norm distance squared from another vector. The magSqr() of the difference.

Definition at line 95 of file VectorI.H.

◆ normalise()

Foam::Vector< Cmpt > & normalise ( const scalar tol = ROOTVSMALL )

inline

Inplace normalise the vector by its magnitude.

For small magnitudes (less than ROOTVSMALL) set to zero. Will not be particularly useful for a vector of labels

Definition at line 114 of file VectorI.H.

◆ removeCollinear()

Foam::Vector< Cmpt > & removeCollinear ( const Vector< Cmpt > & unitVec )

inline

Inplace removal of components that are collinear to the given unit vector.

Definition at line 136 of file VectorI.H.

◆ inner()

Cmpt inner ( const Vector< Cmpt > & v2 ) const

inline

Scalar-product of this with another Vector.

Definition at line 146 of file VectorI.H.

Referenced by Foam::operator &().

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◆ cross()

Foam::Vector< Cmpt > cross ( const Vector< Cmpt > & v2 ) const

inline

Cross-product of this with another Vector.

Definition at line 156 of file VectorI.H.

Referenced by Foam::operator^().

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◆ less_xyz()

bool less_xyz	(	const Vector< Cmpt > &	a,
		const Vector< Cmpt > &	b
	)

inlinestatic

Lexicographically compare a and b with order (x:y:z)

Definition at line 173 of file VectorI.H.

◆ less_yzx()

bool less_yzx	(	const Vector< Cmpt > &	a,
		const Vector< Cmpt > &	b
	)

inlinestatic

Lexicographically compare a and b with order (y:z:x)

Definition at line 197 of file VectorI.H.

◆ less_zxy()

bool less_zxy	(	const Vector< Cmpt > &	a,
		const Vector< Cmpt > &	b
	)

inlinestatic

Lexicographically compare a and b with order (z:x:y)

Definition at line 221 of file VectorI.H.

Member Data Documentation

◆ rank

constexpr direction rank = 1

static

Rank of Vector is 1.

Definition at line 77 of file Vector.H.

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

src/OpenFOAM/primitives/Vector/Vector.H
src/OpenFOAM/primitives/Vector/VectorI.H

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Additional Inherited Members

Detailed Description

template<class Cmpt> class Foam::Vector< Cmpt >

Member Typedef Documentation

◆ labelType

Member Enumeration Documentation

◆ components

Constructor & Destructor Documentation

◆ Vector() [1/6]

◆ Vector() [2/6]

◆ Vector() [3/6]

◆ Vector() [4/6]

◆ Vector() [5/6]

◆ Vector() [6/6]

Member Function Documentation

◆ operator=()

◆ x() [1/2]

◆ y() [1/2]

◆ z() [1/2]

◆ x() [2/2]

◆ y() [2/2]

◆ z() [2/2]

◆ centre()

◆ mag()

◆ magSqr()

◆ dist()

◆ distSqr()

◆ normalise()

◆ removeCollinear()

◆ inner()

◆ cross()

◆ less_xyz()

◆ less_yzx()

◆ less_zxy()

Member Data Documentation

◆ rank

template<class Cmpt>
class Foam::Vector< Cmpt >