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 scalar)

void	operator/= (const scalar)

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

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	identity ()
	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.