A templated (3 x 3) tensor of objects of <T> derived from MatrixSpace. More...

Inheritance diagram for Tensor< Cmpt >:

Collaboration diagram for Tensor< Cmpt >:

Public Types
enum	components { XX , XY , XZ , YX , YY , YZ , ZX , ZY , ZZ }
	Component labeling enumeration. More...

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

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

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

typedef Cmpt	cmptType
	Component type. More...

typedef Cmpt	magType
	Magnitude type. 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
	Tensor ()=default
	Default construct. More...

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

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

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

template<class Cmpt2 >
	Tensor (const MatrixSpace< Tensor< Cmpt2 >, Cmpt2, 3, 3 > &vs)
	Construct given MatrixSpace of the same rank. More...

template<class Cmpt2 >
	Tensor (const VectorSpace< Tensor< Cmpt2 >, Cmpt2, 9 > &vs)
	Construct given VectorSpace of the same rank. More...

	Tensor (const SphericalTensor< Cmpt > &st)
	Construct given SphericalTensor. More...

	Tensor (const SymmTensor< Cmpt > &st)
	Construct given SymmTensor. More...

	Tensor (const Vector< Vector< Cmpt > > &vecs, const bool transposed=false)

	Tensor (const Vector< Cmpt > &x, const Vector< Cmpt > &y, const Vector< Cmpt > &z, const bool transposed=false)

	Tensor (const Cmpt txx, const Cmpt txy, const Cmpt txz, const Cmpt tyx, const Cmpt tyy, const Cmpt tyz, const Cmpt tzx, const Cmpt tzy, const Cmpt tzz)
	Construct given the nine components. More...

template<template< class, direction, direction > class Block2, direction BRowStart, direction BColStart>
	Tensor (const Block2< Tensor< Cmpt >, BRowStart, BColStart > &block)
	Construct from a block of another matrix space. More...

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

const Cmpt &	xx () const

const Cmpt &	xy () const

const Cmpt &	xz () const

const Cmpt &	yx () const

const Cmpt &	yy () const

const Cmpt &	yz () const

const Cmpt &	zx () const

const Cmpt &	zy () const

const Cmpt &	zz () const

Cmpt &	xx ()

Cmpt &	xy ()

Cmpt &	xz ()

Cmpt &	yx ()

Cmpt &	yy ()

Cmpt &	yz ()

Cmpt &	zx ()

Cmpt &	zy ()

Cmpt &	zz ()

Vector< Cmpt >	cx () const
	Extract vector for column 0. More...

Vector< Cmpt >	cy () const
	Extract vector for column 1. More...

Vector< Cmpt >	cz () const
	Extract vector for column 2. More...

template<direction Idx>
Vector< Cmpt >	col () const
	Extract vector for given column: compile-time check of index. More...

Vector< Cmpt >	col (const direction c) const
	Extract vector for given column (0,1,2): runtime check of index. More...

template<direction Idx>
void	col (const Vector< Cmpt > &v)
	Set values of given column: compile-time check of index. More...

void	col (const direction c, const Vector< Cmpt > &v)
	Set values of given column (0,1,2): runtime check of index. More...

void	cols (const Vector< Cmpt > &x, const Vector< Cmpt > &y, const Vector< Cmpt > &z)
	Set column values. More...

Vector< Cmpt >	x () const
	Extract vector for row 0. More...

Vector< Cmpt >	y () const
	Extract vector for row 1. More...

Vector< Cmpt >	z () const
	Extract vector for row 2. More...

template<direction Idx>
Vector< Cmpt >	row () const
	Extract vector for given row: compile-time check of index. More...

Vector< Cmpt >	row (const direction r) const
	Extract vector for given row (0,1,2): runtime check of index. More...

template<direction Idx>
void	row (const Vector< Cmpt > &v)
	Set values of given row: compile-time check of index. More...

void	row (const direction r, const Vector< Cmpt > &v)
	Set values of given row (0,1,2): runtime check of row. More...

void	rows (const Vector< Cmpt > &x, const Vector< Cmpt > &y, const Vector< Cmpt > &z)
	Set row values. More...

Vector< Cmpt >	diag () const
	Extract the diagonal as a vector. More...

void	diag (const Vector< Cmpt > &v)
	Set values of the diagonal. More...

bool	is_identity (const scalar tol=ROOTVSMALL) const
	Is identity tensor? More...

Tensor< Cmpt >	T () const
	Return non-Hermitian transpose. More...

Tensor< Cmpt >	inv () const
	Return inverse. More...

Tensor< Cmpt >	inner (const Tensor< Cmpt > &t2) const
	Inner-product of this with another Tensor. More...

Tensor< Cmpt >	schur (const Tensor< Cmpt > &t2) const
	Schur-product of this with another Tensor. More...

void	operator&= (const Tensor< Cmpt > &t)
	Assign inner-product of this with another Tensor. More...

template<class Cmpt2 >
void	operator= (const VectorSpace< Tensor< Cmpt2 >, Cmpt2, 9 > &)
	Assign to an equivalent vector space. More...

void	operator= (const SphericalTensor< Cmpt > &)
	Assign to a SphericalTensor. More...

void	operator= (const SymmTensor< Cmpt > &)
	Assign to a SymmTensor. More...

void	operator= (const Vector< Vector< Cmpt > > &)
	Assign to a triad of row vectors. More...

Vector< Cmpt >	vectorComponent (const direction cmpt) const
	Deprecated(2018-12) Return vector for given row (0,1) More...

const Foam::Tensor< float >	I (1, 0, 0, 0, 1, 0, 0, 0, 1)

const Foam::Tensor< double >	I (1, 0, 0, 0, 1, 0, 0, 0, 1)

template<Foam::direction Idx>
Foam::Vector< Cmpt >	col () const

template<Foam::direction Idx>
Foam::Vector< Cmpt >	row () const

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

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

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

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

	MatrixSpace (Istream &is)
	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, Tensor< 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< Tensor< Cmpt >, Cmpt, Mrows, Ncols >::template ConstBlock< SubTensor, BRowStart, BColStart >	block () const

Foam::MatrixSpace< Tensor< 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< Tensor< Cmpt >, BRowStart, BColStart > &block)
	Assignment to a block of another matrix space. More...

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

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

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

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

template<class Form2 , class Cmpt2 >
	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...

template<class SubVector , direction BStart>
const ConstBlock< SubVector, BStart >	block () const

const Cmpt &	operator[] (const direction) const

Cmpt &	operator[] (const direction)

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

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

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

void	operator= (const Foam::zero)

void	operator*= (const scalar)

void	operator/= (const scalar)

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

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

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

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

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

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

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

Static Public Attributes
static constexpr direction	rank = 2
	Rank of Tensor is 2. More...

static const Tensor	I

Static Public Attributes inherited from MatrixSpace< Tensor< Cmpt >, Cmpt, 3, 3 >
static constexpr direction	mRows

static constexpr direction	nCols

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

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

static constexpr direction	mRows = Ncmpts

static constexpr direction	nCols = 1

static const char *const	typeName = "diagTensor"

static const char *const	componentNames []

static const Form	zero

static const Form	one

static const Form	max

static const Form	min

static const Form	rootMax

static const Form	rootMin

Additional Inherited Members
Static Public Member Functions inherited from MatrixSpace< Tensor< Cmpt >, Cmpt, 3, 3 >
static direction	m () noexcept
	The number of rows. More...

static direction	n () noexcept
	The number of columns. More...

static msType	identity ()
	An identity matrix for square matrix-spaces. More...

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

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

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

Detailed Description

template<class Cmpt>
class Foam::Tensor< Cmpt >

A templated (3 x 3) tensor of objects of <T> derived from MatrixSpace.

Source files

See also: Foam::MatrixSpace Foam::Vector

Definition at line 61 of file Tensor.H.

Member Typedef Documentation

◆ labelType

typedef Tensor<label> labelType

Equivalent type of labels used for valid component indexing.

Definition at line 70 of file Tensor.H.

Member Enumeration Documentation

◆ components

enum components

Component labeling enumeration.

Enumerator
XX
XY
XZ
YX
YY
YZ
ZX
ZY
ZZ

Definition at line 85 of file Tensor.H.

Constructor & Destructor Documentation

◆ Tensor() [1/12]

Tensor ( )

default

Default construct.

◆ Tensor() [2/12]

Tensor ( const Tensor< Cmpt > & )

default

Copy construct.

◆ Tensor() [3/12]

Tensor ( const Foam::zero )

inline

Construct initialized to zero.

Definition at line 36 of file TensorI.H.

◆ Tensor() [4/12]

Tensor ( const MatrixSpace< Tensor< Cmpt2 >, Cmpt2, 3, 3 > & vs )

inline

Construct given MatrixSpace of the same rank.

Definition at line 44 of file TensorI.H.

◆ Tensor() [5/12]

Tensor ( const VectorSpace< Tensor< Cmpt2 >, Cmpt2, 9 > & vs )

inline

Construct given VectorSpace of the same rank.

Definition at line 55 of file TensorI.H.

◆ Tensor() [6/12]

Tensor ( const SphericalTensor< Cmpt > & st )

inline

Construct given SphericalTensor.

Definition at line 65 of file TensorI.H.

References SphericalTensor< Cmpt >::ii(), and Foam::Zero.

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◆ Tensor() [7/12]

Tensor ( const SymmTensor< Cmpt > & st )

inline

Construct given SymmTensor.

Definition at line 74 of file TensorI.H.

References SymmTensor< Cmpt >::xx(), SymmTensor< Cmpt >::xy(), SymmTensor< Cmpt >::xz(), SymmTensor< Cmpt >::yy(), SymmTensor< Cmpt >::yz(), and SymmTensor< Cmpt >::zz().

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◆ Tensor() [8/12]

Tensor	(	const Vector< Vector< Cmpt > > &	vecs,
		const bool	transposed = `false`
	)

inline

Construct given triad of row vectors, optionally treated as transposed (ie, column vectors)

Definition at line 83 of file TensorI.H.

◆ Tensor() [9/12]

Tensor	(	const Vector< Cmpt > &	x,
		const Vector< Cmpt > &	y,
		const Vector< Cmpt > &	z,
		const bool	transposed = `false`
	)

inline

Construct given the three row vectors, optionally treated as transposed (ie, column vectors)

Definition at line 94 of file TensorI.H.

◆ Tensor() [10/12]

Tensor	(	const Cmpt	txx,
		const Cmpt	txy,
		const Cmpt	txz,
		const Cmpt	tyx,
		const Cmpt	tyy,
		const Cmpt	tyz,
		const Cmpt	tzx,
		const Cmpt	tzy,
		const Cmpt	tzz
	)

inline

Construct given the nine components.

Definition at line 114 of file TensorI.H.

◆ Tensor() [11/12]

Tensor ( const Block2< Tensor< Cmpt >, BRowStart, BColStart > & block )

inline

Construct from a block of another matrix space.

Definition at line 134 of file TensorI.H.

◆ Tensor() [12/12]

Tensor ( Istream & is )

inlineexplicit

Construct from Istream.

Definition at line 144 of file TensorI.H.

Member Function Documentation

◆ operator=() [1/5]

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

default

Copy assignment.

◆ xx() [1/2]

const Cmpt & xx

inline

Definition at line 153 of file TensorI.H.

Referenced by DarcyForchheimer::calcTransformModelData(), fixedCoeff::calcTransformModelData(), Foam::cof(), Foam::det(), Foam::diag(), Tensor< Cmpt >::inner(), Foam::invariantII(), Foam::invTransform(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator+(), Foam::operator-(), Foam::operator/(), quaternion::quaternion(), Tensor< Cmpt >::schur(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), Foam::tr(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

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◆ xy() [1/2]

const Cmpt & xy

inline

Definition at line 160 of file TensorI.H.

Referenced by Foam::cof(), Foam::det(), Tensor< Cmpt >::inner(), Foam::invariantII(), Foam::invTransform(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator*(), Foam::operator+(), Foam::operator-(), Foam::operator/(), quaternion::quaternion(), Tensor< Cmpt >::schur(), Foam::skew(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

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◆ xz() [1/2]

const Cmpt & xz

inline

Definition at line 167 of file TensorI.H.

Referenced by Foam::cof(), Foam::det(), Tensor< Cmpt >::inner(), Foam::invariantII(), Foam::invTransform(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator*(), Foam::operator+(), Foam::operator-(), Foam::operator/(), quaternion::quaternion(), Tensor< Cmpt >::schur(), Foam::skew(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

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◆ yx() [1/2]

const Cmpt & yx

inline

Definition at line 174 of file TensorI.H.

Referenced by Foam::cof(), Foam::det(), Tensor< Cmpt >::inner(), Foam::invariantII(), Foam::invTransform(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator+(), Foam::operator-(), Foam::operator/(), quaternion::quaternion(), Tensor< Cmpt >::schur(), Foam::skew(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

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◆ yy() [1/2]

const Cmpt & yy

inline

Definition at line 181 of file TensorI.H.

Referenced by DarcyForchheimer::calcTransformModelData(), fixedCoeff::calcTransformModelData(), Foam::cof(), Foam::det(), Foam::diag(), Tensor< Cmpt >::inner(), Foam::invariantII(), Foam::invTransform(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator+(), Foam::operator-(), Foam::operator/(), quaternion::quaternion(), Tensor< Cmpt >::schur(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), Foam::tr(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

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◆ yz() [1/2]

const Cmpt & yz

inline

Definition at line 188 of file TensorI.H.

Referenced by Foam::cof(), Foam::det(), Tensor< Cmpt >::inner(), Foam::invariantII(), Foam::invTransform(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator*(), Foam::operator+(), Foam::operator-(), Foam::operator/(), quaternion::quaternion(), Tensor< Cmpt >::schur(), Foam::skew(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

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◆ zx() [1/2]

const Cmpt & zx

inline

Definition at line 195 of file TensorI.H.

Referenced by Foam::cof(), Foam::det(), Tensor< Cmpt >::inner(), Foam::invariantII(), Foam::invTransform(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator+(), Foam::operator-(), Foam::operator/(), quaternion::quaternion(), Tensor< Cmpt >::schur(), Foam::skew(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

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◆ zy() [1/2]

const Cmpt & zy

inline

Definition at line 202 of file TensorI.H.

Referenced by Foam::cof(), Foam::det(), Tensor< Cmpt >::inner(), Foam::invariantII(), Foam::invTransform(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator+(), Foam::operator-(), Foam::operator/(), quaternion::quaternion(), Tensor< Cmpt >::schur(), Foam::skew(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

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◆ zz() [1/2]

const Cmpt & zz

inline

Definition at line 209 of file TensorI.H.

Referenced by DarcyForchheimer::calcTransformModelData(), fixedCoeff::calcTransformModelData(), Foam::cof(), Foam::det(), Foam::diag(), Tensor< Cmpt >::inner(), Foam::invariantII(), Foam::invTransform(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator+(), Foam::operator-(), Foam::operator/(), quaternion::quaternion(), Tensor< Cmpt >::schur(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), Foam::tr(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

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◆ xx() [2/2]

Cmpt & xx

inline

Definition at line 216 of file TensorI.H.

◆ xy() [2/2]

Cmpt & xy

inline

Definition at line 223 of file TensorI.H.

◆ xz() [2/2]

Cmpt & xz

inline

Definition at line 230 of file TensorI.H.

◆ yx() [2/2]

Cmpt & yx

inline

Definition at line 237 of file TensorI.H.

◆ yy() [2/2]

Cmpt & yy

inline

Definition at line 244 of file TensorI.H.

◆ yz() [2/2]

Cmpt & yz

inline

Definition at line 251 of file TensorI.H.

◆ zx() [2/2]

Cmpt & zx

inline

Definition at line 258 of file TensorI.H.

◆ zy() [2/2]

Cmpt & zy

inline

Definition at line 265 of file TensorI.H.

◆ zz() [2/2]

Cmpt & zz

inline

Definition at line 272 of file TensorI.H.

◆ cx()

Foam::Vector< Cmpt > cx

inline

Extract vector for column 0.

Definition at line 300 of file TensorI.H.

Referenced by lumpedPointState::writeVTP().

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◆ cy()

Foam::Vector< Cmpt > cy

inline

Extract vector for column 1.

Definition at line 307 of file TensorI.H.

Referenced by lumpedPointState::writeVTP().

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◆ cz()

Foam::Vector< Cmpt > cz

inline

Extract vector for column 2.

Definition at line 314 of file TensorI.H.

◆ col() [1/5]

Vector< Cmpt > col ( ) const

inline

Extract vector for given column: compile-time check of index.

Referenced by cylindrical::R(), and axes::rotation().

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◆ col() [2/5]

Foam::Vector< Cmpt > col ( const direction c ) const

inline

Extract vector for given column (0,1,2): runtime check of index.

Definition at line 334 of file TensorI.H.

References Foam::abort(), Foam::FatalError, FatalErrorInFunction, and Foam::Zero.

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◆ col() [3/5]

void col ( const Vector< Cmpt > & v )

inline

Set values of given column: compile-time check of index.

Definition at line 382 of file TensorI.H.

References Vector< Cmpt >::x(), Vector< Cmpt >::y(), and Vector< Cmpt >::z().

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◆ col() [4/5]

void col	(	const direction	c,
		const Vector< Cmpt > &	v
	)

inline

Set values of given column (0,1,2): runtime check of index.

Definition at line 457 of file TensorI.H.

References Foam::abort(), Foam::FatalError, and FatalErrorInFunction.

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◆ cols()

void cols	(	const Vector< Cmpt > &	x,
		const Vector< Cmpt > &	y,
		const Vector< Cmpt > &	z
	)

inline

Set column values.

Definition at line 429 of file TensorI.H.

References x, Vector< Cmpt >::x(), y, Vector< Cmpt >::y(), and Vector< Cmpt >::z().

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◆ x()

Foam::Vector< Cmpt > x

inline

Extract vector for row 0.

Definition at line 279 of file TensorI.H.

Referenced by triad::operator=(), and triad::triad().

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◆ y()

Foam::Vector< Cmpt > y

inline

Extract vector for row 1.

Definition at line 286 of file TensorI.H.

Referenced by triad::operator=(), and triad::triad().

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◆ z()

Foam::Vector< Cmpt > z

inline

Extract vector for row 2.

Definition at line 293 of file TensorI.H.

Referenced by triad::operator=(), and triad::triad().

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◆ row() [1/5]

Vector< Cmpt > row ( ) const

inline

Extract vector for given row: compile-time check of index.

◆ row() [2/5]

Foam::Vector< Cmpt > row ( const direction r ) const

inline

Extract vector for given row (0,1,2): runtime check of index.

Definition at line 364 of file TensorI.H.

References Foam::abort(), Foam::FatalError, FatalErrorInFunction, x, y, and Foam::Zero.

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◆ row() [3/5]

void row ( const Vector< Cmpt > & v )

inline

Set values of given row: compile-time check of index.

Definition at line 409 of file TensorI.H.

References Vector< Cmpt >::x(), Vector< Cmpt >::y(), and Vector< Cmpt >::z().

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◆ row() [4/5]

void row	(	const direction	r,
		const Vector< Cmpt > &	v
	)

inline

Set values of given row (0,1,2): runtime check of row.

Definition at line 476 of file TensorI.H.

References Foam::abort(), Foam::FatalError, and FatalErrorInFunction.

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◆ rows()

void rows	(	const Vector< Cmpt > &	x,
		const Vector< Cmpt > &	y,
		const Vector< Cmpt > &	z
	)

inline

Set row values.

Definition at line 443 of file TensorI.H.

References x, Vector< Cmpt >::x(), y, Vector< Cmpt >::y(), and Vector< Cmpt >::z().

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◆ diag() [1/2]

Foam::Vector< Cmpt > diag

inline

Extract the diagonal as a vector.

Definition at line 495 of file TensorI.H.

◆ diag() [2/2]

void diag ( const Vector< Cmpt > & v )

inline

Set values of the diagonal.

Definition at line 502 of file TensorI.H.

References Vector< Cmpt >::x(), Vector< Cmpt >::y(), and Vector< Cmpt >::z().

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◆ is_identity()

bool is_identity ( const scalar tol = ROOTVSMALL ) const

inline

Is identity tensor?

Definition at line 509 of file TensorI.H.

References Foam::mag().

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◆ T()

Foam::Tensor< Cmpt > T

inline

Return non-Hermitian transpose.

Definition at line 526 of file TensorI.H.

Referenced by edgeInterpolationScheme< scalar >::euclidianInterpolate(), triangle< Point, PointRef >::inertia(), edgeInterpolationScheme< Type >::interpolate(), edgeInterpolationScheme< scalar >::interpolate(), Moment< Type >::Moment(), and Foam::RBD::transform().

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◆ inv()

Tensor< Cmpt > inv

inline

Return inverse.

Return the inverse of this Tensor.

Definition at line 782 of file TensorI.H.

References Foam::inv().

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◆ inner()

Foam::Tensor< Cmpt > inner ( const Tensor< Cmpt > & t2 ) const

inline

Inner-product of this with another Tensor.

Definition at line 539 of file TensorI.H.

References Tensor< Cmpt >::xx(), Tensor< Cmpt >::xy(), Tensor< Cmpt >::xz(), Tensor< Cmpt >::yx(), Tensor< Cmpt >::yy(), Tensor< Cmpt >::yz(), Tensor< Cmpt >::zx(), Tensor< Cmpt >::zy(), and Tensor< Cmpt >::zz().

Referenced by Foam::operator&().

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◆ schur()

Foam::Tensor< Cmpt > schur ( const Tensor< Cmpt > & t2 ) const

inline

Schur-product of this with another Tensor.

Definition at line 562 of file TensorI.H.

References Tensor< Cmpt >::xx(), Tensor< Cmpt >::xy(), Tensor< Cmpt >::xz(), Tensor< Cmpt >::yx(), Tensor< Cmpt >::yy(), Tensor< Cmpt >::yz(), Tensor< Cmpt >::zx(), Tensor< Cmpt >::zy(), and Tensor< Cmpt >::zz().

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◆ operator&=()

void operator&= ( const Tensor< Cmpt > & t )

inline

Assign inner-product of this with another Tensor.

Definition at line 578 of file TensorI.H.

◆ operator=() [2/5]

void operator= ( const VectorSpace< Tensor< Cmpt2 >, Cmpt2, 9 > & vs )

inline

Assign to an equivalent vector space.

Definition at line 586 of file TensorI.H.

◆ operator=() [3/5]

void operator= ( const SphericalTensor< Cmpt > & st )

inline

Assign to a SphericalTensor.

Definition at line 596 of file TensorI.H.

References SphericalTensor< Cmpt >::ii(), and Foam::Zero.

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◆ operator=() [4/5]

void operator= ( const SymmTensor< Cmpt > & st )

inline

Assign to a SymmTensor.

Definition at line 605 of file TensorI.H.

References SymmTensor< Cmpt >::xx(), SymmTensor< Cmpt >::xy(), SymmTensor< Cmpt >::xz(), SymmTensor< Cmpt >::yy(), SymmTensor< Cmpt >::yz(), and SymmTensor< Cmpt >::zz().

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◆ operator=() [5/5]

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

inline

Assign to a triad of row vectors.

Definition at line 614 of file TensorI.H.

References Foam::tr().

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◆ vectorComponent()

Vector< Cmpt > vectorComponent ( const direction cmpt ) const

inline

Deprecated(2018-12) Return vector for given row (0,1)

Deprecated:: (2018-12) use row() method

Definition at line 310 of file Tensor.H.

◆ I() [1/2]

const Foam::Tensor< float > I	(	1	,
		0	,
		0	,
		0	,
		1	,
		0	,
		0	,
		0	,
		1
	)

◆ I() [2/2]

const Foam::Tensor< double > I	(	1	,
		0	,
		0	,
		0	,
		1	,
		0	,
		0	,
		0	,
		1
	)

◆ col() [5/5]

Foam::Vector< Cmpt > col ( ) const

inline

Definition at line 322 of file TensorI.H.

References Foam::Zero.

◆ row() [5/5]

Foam::Vector< Cmpt > row ( ) const

inline

Definition at line 352 of file TensorI.H.

References x, y, and Foam::Zero.

Member Data Documentation

◆ rank

constexpr direction rank = 2

staticconstexpr

Rank of Tensor is 2.

Definition at line 76 of file Tensor.H.

◆ I

const Foam::labelTensor I

static

Definition at line 81 of file Tensor.H.

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

src/OpenFOAM/primitives/complex/complexI.H
src/OpenFOAM/primitives/Tensor/Tensor.H
src/OpenFOAM/primitives/Tensor/ints/labelTensor.C
src/OpenFOAM/primitives/Tensor/TensorI.H

Public Types

Public Member Functions

Static Public Attributes

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ labelType

Member Enumeration Documentation

◆ components

Constructor & Destructor Documentation

◆ Tensor() [1/12]

◆ Tensor() [2/12]

◆ Tensor() [3/12]

◆ Tensor() [4/12]

◆ Tensor() [5/12]

◆ Tensor() [6/12]

◆ Tensor() [7/12]

◆ Tensor() [8/12]

◆ Tensor() [9/12]

◆ Tensor() [10/12]

◆ Tensor() [11/12]

◆ Tensor() [12/12]

Member Function Documentation

◆ operator=() [1/5]

◆ xx() [1/2]

◆ xy() [1/2]

◆ xz() [1/2]

◆ yx() [1/2]

◆ yy() [1/2]

◆ yz() [1/2]

◆ zx() [1/2]

◆ zy() [1/2]

◆ zz() [1/2]

◆ xx() [2/2]

◆ xy() [2/2]

◆ xz() [2/2]

◆ yx() [2/2]

◆ yy() [2/2]

◆ yz() [2/2]

◆ zx() [2/2]

◆ zy() [2/2]

◆ zz() [2/2]

◆ cx()

◆ cy()

◆ cz()

◆ col() [1/5]

◆ col() [2/5]

◆ col() [3/5]

◆ col() [4/5]

◆ cols()

◆ x()

◆ y()

◆ z()

◆ row() [1/5]

◆ row() [2/5]

◆ row() [3/5]

◆ row() [4/5]

◆ rows()

◆ diag() [1/2]

◆ diag() [2/2]

◆ is_identity()

◆ T()

◆ inv()

◆ inner()

◆ schur()

◆ operator&=()

◆ operator=() [2/5]

◆ operator=() [3/5]

◆ operator=() [4/5]

◆ operator=() [5/5]

◆ vectorComponent()

◆ I() [1/2]

◆ I() [2/2]

◆ col() [5/5]

◆ row() [5/5]

Member Data Documentation

◆ rank

◆ I