Templated 4x3 tensor derived from VectorSpace. Has 12 components. Can represent a barycentric transformation as a matrix-barycentric inner- product. Can alternatively represent an inverse barycentric transformation as a vector-matrix inner-product. More...

Inheritance diagram for BarycentricTensor< Cmpt >:

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Collaboration diagram for BarycentricTensor< Cmpt >:

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Public Types
enum	components { XA , XB , XC , XD , YA , YB , YC , YD , ZA , ZB , ZC , ZD }
	Component labeling enumeration. More...

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

Public Types inherited from MatrixSpace< BarycentricTensor< Cmpt >, Cmpt, 4, 3 >
typedef MatrixSpace< BarycentricTensor< Cmpt >, Cmpt, Mrows, Ncols >	msType
	MatrixSpace type. More...

Public Types inherited from VectorSpace< BarycentricTensor< Cmpt >, Cmpt, Mrows *Ncols >
typedef VectorSpace< BarycentricTensor< Cmpt >, Cmpt, Ncmpts >	vsType
	VectorSpace type. More...

typedef Cmpt	cmptType
	Component type. More...

Public Member Functions
	BarycentricTensor ()
	Construct null. More...

	BarycentricTensor (const Foam::zero)
	Construct initialised to zero. More...

	BarycentricTensor (const Barycentric< Cmpt > &x, const Barycentric< Cmpt > &y, const Barycentric< Cmpt > &z)
	Construct given three barycentric components (rows) More...

	BarycentricTensor (const Vector< Cmpt > &a, const Vector< Cmpt > &b, const Vector< Cmpt > &c, const Vector< Cmpt > &d)
	Construct given four vector components (columns) More...

Barycentric< Cmpt >	x () const

Barycentric< Cmpt >	y () const

Barycentric< Cmpt >	z () const

Vector< Cmpt >	a () const

Vector< Cmpt >	b () const

Vector< Cmpt >	c () const

Vector< Cmpt >	d () const

Public Member Functions inherited from MatrixSpace< BarycentricTensor< Cmpt >, Cmpt, 4, 3 >
	MatrixSpace ()
	Construct null. More...

	MatrixSpace (const Foam::zero)
	Construct initialised to zero. More...

	MatrixSpace (const VectorSpace< Form2, Cmpt2, Mrows *Ncols > &)
	Construct as copy of a VectorSpace with the same size. More...

	MatrixSpace (const Block2< BarycentricTensor< Cmpt >, BRowStart, BColStart > &block)
	Construct from a block of another matrix space. More...

	MatrixSpace (Istream &)
	Construct from Istream. More...

const Cmpt &	elmt () const
	Fast const element access using compile-time addressing. More...

Cmpt &	elmt ()
	Fast element access using compile-time addressing. More...

const Cmpt &	xx () const

Cmpt &	xx ()

const Cmpt &	xy () const

Cmpt &	xy ()

const Cmpt &	xz () const

Cmpt &	xz ()

const Cmpt &	yx () const

Cmpt &	yx ()

const Cmpt &	yy () const

Cmpt &	yy ()

const Cmpt &	yz () const

Cmpt &	yz ()

const Cmpt &	zx () const

Cmpt &	zx ()

const Cmpt &	zy () const

Cmpt &	zy ()

const Cmpt &	zz () const

Cmpt &	zz ()

typeOfTranspose< Cmpt, BarycentricTensor< Cmpt > >::type	T () const
	Return the transpose of the matrix. More...

ConstBlock< SubTensor, BRowStart, BColStart >	block () const
	Return a const sub-block corresponding to the specified type. More...

Block< SubTensor, BRowStart, BColStart >	block ()
	Return a sub-block corresponding to the specified type. More...

Foam::MatrixSpace< BarycentricTensor< Cmpt >, Cmpt, Mrows, Ncols >::template ConstBlock< SubTensor, BRowStart, BColStart >	block () const

Foam::MatrixSpace< BarycentricTensor< Cmpt >, Cmpt, Mrows, Ncols >::template Block< SubTensor, BRowStart, BColStart >	block ()

const Cmpt &	operator() (const direction &i, const direction &j) const
	(i, j) const element access operator More...

Cmpt &	operator() (const direction &i, const direction &j)
	(i, j) element access operator More...

void	operator= (const Foam::zero)
	Assignment to zero. More...

void	operator= (const Block2< BarycentricTensor< Cmpt >, BRowStart, BColStart > &block)
	Assignment to a block of another matrix space. More...

void	operator&= (const MatrixSpace< BarycentricTensor< Cmpt >, Cmpt, Ncols, Ncols > &matrix)
	Inner product with a compatible square matrix. More...

Public Member Functions inherited from VectorSpace< BarycentricTensor< Cmpt >, Cmpt, Mrows *Ncols >
	VectorSpace ()
	Construct null. More...

	VectorSpace (const Foam::zero)
	Construct initialised to zero. More...

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

	VectorSpace (const VectorSpace< Form2, Cmpt2, Ncmpts > &)
	Construct as copy of a VectorSpace with the same size. More...

const Cmpt &	component (const direction) const

Cmpt &	component (const direction)

void	component (Cmpt &, const direction) const

void	replace (const direction, const Cmpt &)

const ConstBlock< SubVector, BStart >	block () const

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

const Cmpt &	operator[] (const direction) const

Cmpt &	operator[] (const direction)

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

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

void	operator= (const Foam::zero)

void	operator*= (const Type)

void	operator/= (const Type)

Static Public Attributes
static const direction	rank = 2
	Rank of BarycentricTensor is 2. More...

Static Public Attributes inherited from MatrixSpace< BarycentricTensor< Cmpt >, Cmpt, 4, 3 >
static const direction	mRows

static const direction	nCols

Static Public Attributes inherited from VectorSpace< BarycentricTensor< Cmpt >, Cmpt, Mrows *Ncols >
static const direction	dim
	Dimensionality of space. More...

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

static const direction	mRows

static const direction	nCols

static const char *const	typeName

static const char *const	componentNames []

static const BarycentricTensor< Cmpt >	zero

static const BarycentricTensor< Cmpt >	one

static const BarycentricTensor< Cmpt >	max

static const BarycentricTensor< Cmpt >	min

static const BarycentricTensor< Cmpt >	rootMax

static const BarycentricTensor< Cmpt >	rootMin

static const BarycentricTensor< Cmpt >	nan

Additional Inherited Members
Static Public Member Functions inherited from MatrixSpace< BarycentricTensor< Cmpt >, Cmpt, 4, 3 >
static direction	m ()
	Return the number of rows. More...

static direction	n ()
	Return the number of columns. More...

static msType	identityMap ()
	Return the identity matrix for square matrix spaces. More...

Static Public Member Functions inherited from VectorSpace< BarycentricTensor< Cmpt >, Cmpt, Mrows *Ncols >
static direction	size ()
	Return the number of elements in the VectorSpace = Ncmpts. More...

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

Public Attributes inherited from VectorSpace< BarycentricTensor< Cmpt >, Cmpt, Mrows *Ncols >
Cmpt	v_ [Ncmpts]
	The components of this vector space. More...

Detailed Description

template<class Cmpt>
class Foam::BarycentricTensor< Cmpt >

Templated 4x3 tensor derived from VectorSpace. Has 12 components. Can represent a barycentric transformation as a matrix-barycentric inner- product. Can alternatively represent an inverse barycentric transformation as a vector-matrix inner-product.

Source files

Definition at line 54 of file BarycentricTensor.H.

Member Typedef Documentation

◆ labelType

typedef Tensor<label> labelType

Equivalent type of labels used for valid component indexing.

Definition at line 61 of file BarycentricTensor.H.

Member Enumeration Documentation

◆ components

enum components

Component labeling enumeration.

Enumerator
XA
XB
XC
XD
YA
YB
YC
YD
ZA
ZB
ZC
ZD

Definition at line 71 of file BarycentricTensor.H.

Constructor & Destructor Documentation

◆ BarycentricTensor() [1/4]

BarycentricTensor

inline

Construct null.

Definition at line 29 of file BarycentricTensorI.H.

◆ BarycentricTensor() [2/4]

BarycentricTensor ( const Foam::zero )

inline

Construct initialised to zero.

Definition at line 34 of file BarycentricTensorI.H.

◆ BarycentricTensor() [3/4]

BarycentricTensor	(	const Barycentric< Cmpt > &	x,
		const Barycentric< Cmpt > &	y,
		const Barycentric< Cmpt > &	z
	)

inline

Construct given three barycentric components (rows)

Definition at line 41 of file BarycentricTensorI.H.

References Barycentric< Cmpt >::a(), Barycentric< Cmpt >::b(), Barycentric< Cmpt >::c(), Barycentric< Cmpt >::d(), x, and y.

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◆ BarycentricTensor() [4/4]

BarycentricTensor	(	const Vector< Cmpt > &	a,
		const Vector< Cmpt > &	b,
		const Vector< Cmpt > &	c,
		const Vector< Cmpt > &	d
	)

inline

Construct given four vector components (columns)

Definition at line 66 of file BarycentricTensorI.H.

References b, Foam::constant::universal::c, Vector< Cmpt >::x(), Vector< Cmpt >::y(), and Vector< Cmpt >::z().

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Member Function Documentation

◆ x()

Foam::Barycentric< Cmpt > x

inline

Definition at line 94 of file BarycentricTensorI.H.

◆ y()

Foam::Barycentric< Cmpt > y

inline

Definition at line 108 of file BarycentricTensorI.H.

◆ z()

Foam::Barycentric< Cmpt > z

inline

Definition at line 122 of file BarycentricTensorI.H.

◆ a()

Foam::Vector< Cmpt > a

inline

Definition at line 136 of file BarycentricTensorI.H.

◆ b()

Foam::Vector< Cmpt > b

inline

Definition at line 143 of file BarycentricTensorI.H.

◆ c()

Foam::Vector< Cmpt > c

inline

Definition at line 150 of file BarycentricTensorI.H.

◆ d()

Foam::Vector< Cmpt > d

inline

Definition at line 157 of file BarycentricTensorI.H.

Member Data Documentation

◆ rank

const direction rank = 2

static

Rank of BarycentricTensor is 2.

Definition at line 67 of file BarycentricTensor.H.

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

src/OpenFOAM/primitives/Barycentric/BarycentricTensor.H
src/OpenFOAM/primitives/Barycentric/BarycentricTensorI.H

Public Types

Public Member Functions

Static Public Attributes

Additional Inherited Members

Detailed Description

template<class Cmpt> class Foam::BarycentricTensor< Cmpt >

Member Typedef Documentation

◆ labelType

Member Enumeration Documentation

◆ components

Constructor & Destructor Documentation

◆ BarycentricTensor() [1/4]

◆ BarycentricTensor() [2/4]

◆ BarycentricTensor() [3/4]

◆ BarycentricTensor() [4/4]

Member Function Documentation

◆ x()

◆ y()

◆ z()

◆ a()

◆ b()

◆ c()

◆ d()

Member Data Documentation

◆ rank

template<class Cmpt>
class Foam::BarycentricTensor< Cmpt >