Templated 3D spatial tensor derived from MatrixSpace used to represent transformations of spatial vectors and the angular and linear inertia of rigid bodies. More...

Inheritance diagram for SpatialTensor< Cmpt >:

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Collaboration diagram for SpatialTensor< Cmpt >:

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

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

	SpatialTensor (const typename SpatialTensor::msType &)
	Construct given MatrixSpace of the same rank. More...

	SpatialTensor (const Tensor< Cmpt > &t00, const Tensor< Cmpt > &t01, const Tensor< Cmpt > &t10, const Tensor< Cmpt > &t11)
	Construct given 4 tensor blocks. More...

	SpatialTensor (const Cmpt &t00, const Cmpt &t01, const Cmpt &t02, const Cmpt &t03, const Cmpt &t04, const Cmpt &t05, const Cmpt &t10, const Cmpt &t11, const Cmpt &t12, const Cmpt &t13, const Cmpt &t14, const Cmpt &t15, const Cmpt &t20, const Cmpt &t21, const Cmpt &t22, const Cmpt &t23, const Cmpt &t24, const Cmpt &t25, const Cmpt &t30, const Cmpt &t31, const Cmpt &t32, const Cmpt &t33, const Cmpt &t34, const Cmpt &t35, const Cmpt &t40, const Cmpt &t41, const Cmpt &t42, const Cmpt &t43, const Cmpt &t44, const Cmpt &t45, const Cmpt &t50, const Cmpt &t51, const Cmpt &t52, const Cmpt &t53, const Cmpt &t54, const Cmpt &t55)
	Construct given 36 components. More...

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

Public Member Functions inherited from MatrixSpace< SpatialTensor< Cmpt >, Cmpt, 6, 6 >
	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< SpatialTensor< 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, SpatialTensor< 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< SpatialTensor< Cmpt >, Cmpt, Mrows, Ncols >::template ConstBlock< SubTensor, BRowStart, BColStart >	block () const

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

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

Public Member Functions inherited from VectorSpace< SpatialTensor< 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< SpatialTensor< Cmpt >, Cmpt, Ncmpts >::template ConstBlock< SubVector, BStart >	block () const

const Cmpt &	operator[] (const direction) const

Cmpt &	operator[] (const direction)

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

void	operator-= (const VectorSpace< SpatialTensor< 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 Tensor is 2. More...

static const SpatialTensor	I
	Identity matrix for square matrices. More...

Static Public Attributes inherited from MatrixSpace< SpatialTensor< Cmpt >, Cmpt, 6, 6 >
static const direction	mRows

static const direction	nCols

Static Public Attributes inherited from VectorSpace< SpatialTensor< 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 SpatialTensor< Cmpt >	zero

static const SpatialTensor< Cmpt >	one

static const SpatialTensor< Cmpt >	max

static const SpatialTensor< Cmpt >	min

static const SpatialTensor< Cmpt >	rootMax

static const SpatialTensor< Cmpt >	rootMin

static const SpatialTensor< Cmpt >	nan

Additional Inherited Members
Public Types inherited from MatrixSpace< SpatialTensor< Cmpt >, Cmpt, 6, 6 >
typedef MatrixSpace< SpatialTensor< Cmpt >, Cmpt, Mrows, Ncols >	msType
	MatrixSpace type. More...

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

typedef Cmpt	cmptType
	Component type. More...

Static Public Member Functions inherited from MatrixSpace< SpatialTensor< Cmpt >, Cmpt, 6, 6 >
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< SpatialTensor< Cmpt >, Cmpt, Mrows *Ncols >
static direction	size ()
	Return the number of elements in the VectorSpace = Ncmpts. More...

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

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

Detailed Description

template<class Cmpt>
class Foam::SpatialTensor< Cmpt >

Templated 3D spatial tensor derived from MatrixSpace used to represent transformations of spatial vectors and the angular and linear inertia of rigid bodies.

Reference:

    Featherstone, R. (2008).
    Rigid body dynamics algorithms.
    Springer.

Source files

See also: Foam::MatrixSpace Foam::Tensor Foam::SpatialVector

Definition at line 64 of file SpatialTensor.H.

Constructor & Destructor Documentation

◆ SpatialTensor() [1/6]

SpatialTensor

inline

Construct null.

Definition at line 31 of file SpatialTensorI.H.

◆ SpatialTensor() [2/6]

SpatialTensor ( const Foam::zero )

inline

Construct initialised to zero.

Definition at line 36 of file SpatialTensorI.H.

◆ SpatialTensor() [3/6]

SpatialTensor ( const typename SpatialTensor< Cmpt >::msType & ms )

inline

Construct given MatrixSpace of the same rank.

Definition at line 43 of file SpatialTensorI.H.

◆ SpatialTensor() [4/6]

SpatialTensor	(	const Tensor< Cmpt > &	t00,
		const Tensor< Cmpt > &	t01,
		const Tensor< Cmpt > &	t10,
		const Tensor< Cmpt > &	t11
	)

inline

Construct given 4 tensor blocks.

Definition at line 53 of file SpatialTensorI.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().

Here is the call graph for this function:

◆ SpatialTensor() [5/6]

SpatialTensor	(	const Cmpt &	t00,
		const Cmpt &	t01,
		const Cmpt &	t02,
		const Cmpt &	t03,
		const Cmpt &	t04,
		const Cmpt &	t05,
		const Cmpt &	t10,
		const Cmpt &	t11,
		const Cmpt &	t12,
		const Cmpt &	t13,
		const Cmpt &	t14,
		const Cmpt &	t15,
		const Cmpt &	t20,
		const Cmpt &	t21,
		const Cmpt &	t22,
		const Cmpt &	t23,
		const Cmpt &	t24,
		const Cmpt &	t25,
		const Cmpt &	t30,
		const Cmpt &	t31,
		const Cmpt &	t32,
		const Cmpt &	t33,
		const Cmpt &	t34,
		const Cmpt &	t35,
		const Cmpt &	t40,
		const Cmpt &	t41,
		const Cmpt &	t42,
		const Cmpt &	t43,
		const Cmpt &	t44,
		const Cmpt &	t45,
		const Cmpt &	t50,
		const Cmpt &	t51,
		const Cmpt &	t52,
		const Cmpt &	t53,
		const Cmpt &	t54,
		const Cmpt &	t55
	)

inline

Construct given 36 components.

Definition at line 82 of file SpatialTensorI.H.

◆ SpatialTensor() [6/6]

SpatialTensor ( Istream & is )

inline

Construct from Istream.

Definition at line 130 of file SpatialTensorI.H.

Member Data Documentation

◆ rank

const direction rank = 2

static

Rank of Tensor is 2.

Definition at line 74 of file SpatialTensor.H.

◆ I

const Foam::spatialTensor I

static

Identity matrix for square matrices.

Definition at line 80 of file SpatialTensor.H.

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

src/OpenFOAM/primitives/spatialVectorAlgebra/SpatialTensor/SpatialTensor.H
src/OpenFOAM/primitives/spatialVectorAlgebra/SpatialTensor/spatialTensor/spatialTensor.C
src/OpenFOAM/primitives/spatialVectorAlgebra/SpatialTensor/SpatialTensorI.H

Public Member Functions

Static Public Attributes

Additional Inherited Members

Detailed Description

template<class Cmpt> class Foam::SpatialTensor< Cmpt >

Constructor & Destructor Documentation

◆ SpatialTensor() [1/6]

◆ SpatialTensor() [2/6]

◆ SpatialTensor() [3/6]

◆ SpatialTensor() [4/6]

◆ SpatialTensor() [5/6]

◆ SpatialTensor() [6/6]

Member Data Documentation

◆ rank

◆ I

template<class Cmpt>
class Foam::SpatialTensor< Cmpt >