Tensor2D< Cmpt > Class Template Reference

Templated 2D tensor derived from VectorSpace adding construction from 4 components, element access using xx(), xy(), yx() and yy() member functions and the iner-product (dot-product) and outer-product of two Vector2Ds (tensor-product) operators. More...

Inheritance diagram for Tensor2D< Cmpt >:
Collaboration diagram for Tensor2D< Cmpt >:

Public Types

enum  components { XX , XY , YX , YY }
 Component labeling enumeration. More...
 
typedef Tensor2D< labellabelType
 Equivalent type of labels used for valid component indexing. More...
 
- Public Types inherited from VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >
typedef VectorSpace< Tensor2D< Cmpt >, Cmpt, Ncmpts > vsType
 VectorSpace type. More...
 
typedef Cmpt cmptType
 Component type. More...
 

Public Member Functions

 Tensor2D ()
 Construct null. More...
 
 Tensor2D (const Foam::zero)
 Construct initialised to zero. More...
 
 Tensor2D (const VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 > &)
 Construct given VectorSpace. More...
 
 Tensor2D (const SymmTensor2D< Cmpt > &)
 Construct given SymmTensor2D. More...
 
 Tensor2D (const SphericalTensor2D< Cmpt > &)
 Construct given SphericalTensor2D. More...
 
 Tensor2D (const Vector2D< Cmpt > &x, const Vector2D< Cmpt > &y)
 Construct given the two vectors. More...
 
 Tensor2D (const Cmpt txx, const Cmpt txy, const Cmpt tyx, const Cmpt tyy)
 Construct given the four components. More...
 
 Tensor2D (Istream &)
 Construct from Istream. More...
 
const Cmpt & xx () const
 
const Cmpt & xy () const
 
const Cmpt & yx () const
 
const Cmpt & yy () const
 
Cmpt & xx ()
 
Cmpt & xy ()
 
Cmpt & yx ()
 
Cmpt & yy ()
 
Vector2D< Cmpt > x () const
 
Vector2D< Cmpt > y () const
 
Tensor2D< Cmpt > T () const
 Transpose. More...
 
void operator= (const SymmTensor2D< Cmpt > &)
 Copy SymmTensor2D. More...
 
void operator= (const SphericalTensor2D< Cmpt > &)
 Copy SphericalTensor2D. More...
 
- Public Member Functions inherited from VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >
 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< Tensor2D< Cmpt >, Cmpt, Ncmpts >::template ConstBlock< SubVector, BStart > block () const
 
const Cmpt & operator[] (const direction) const
 
Cmpt & operator[] (const direction)
 
void operator+= (const VectorSpace< Tensor2D< Cmpt >, Cmpt, Ncmpts > &)
 
void operator-= (const VectorSpace< Tensor2D< 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 Tensor2D is 2. More...
 
static const Tensor2D I
 
- Static Public Attributes inherited from VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >
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 Tensor2D< Cmpt > zero
 
static const Tensor2D< Cmpt > one
 
static const Tensor2D< Cmpt > max
 
static const Tensor2D< Cmpt > min
 
static const Tensor2D< Cmpt > rootMax
 
static const Tensor2D< Cmpt > rootMin
 

Additional Inherited Members

- Static Public Member Functions inherited from VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >
static direction size ()
 Return the number of elements in the VectorSpace = Ncmpts. More...
 
static Tensor2D< Cmpt > uniform (const Cmpt &s)
 Return a VectorSpace with all elements = s. More...
 
- Public Attributes inherited from VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >
Cmpt v_ [Ncmpts]
 The components of this vector space. More...
 

Detailed Description

template<class Cmpt>
class Foam::Tensor2D< Cmpt >

Templated 2D tensor derived from VectorSpace adding construction from 4 components, element access using xx(), xy(), yx() and yy() member functions and the iner-product (dot-product) and outer-product of two Vector2Ds (tensor-product) operators.

Source files

Definition at line 56 of file Tensor2D.H.

Member Typedef Documentation

◆ labelType

Equivalent type of labels used for valid component indexing.

Definition at line 64 of file Tensor2D.H.

Member Enumeration Documentation

◆ components

enum components

Component labeling enumeration.

Enumerator
XX 
XY 
YX 
YY 

Definition at line 79 of file Tensor2D.H.

Constructor & Destructor Documentation

◆ Tensor2D() [1/8]

Tensor2D
inline

Construct null.

Definition at line 29 of file Tensor2DI.H.

◆ Tensor2D() [2/8]

Tensor2D ( const Foam::zero  )
inline

Construct initialised to zero.

Definition at line 34 of file Tensor2DI.H.

◆ Tensor2D() [3/8]

Tensor2D ( const VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 > &  vs)
inline

Construct given VectorSpace.

Definition at line 41 of file Tensor2DI.H.

◆ Tensor2D() [4/8]

Tensor2D ( const SymmTensor2D< Cmpt > &  st)
inline

Construct given SymmTensor2D.

Definition at line 51 of file Tensor2DI.H.

References SymmTensor2D< Cmpt >::xx(), SymmTensor2D< Cmpt >::xy(), and SymmTensor2D< Cmpt >::yy().

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◆ Tensor2D() [5/8]

Tensor2D ( const SphericalTensor2D< Cmpt > &  st)
inline

Construct given SphericalTensor2D.

Definition at line 59 of file Tensor2DI.H.

References SphericalTensor2D< Cmpt >::ii().

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◆ Tensor2D() [6/8]

Tensor2D ( const Vector2D< Cmpt > &  x,
const Vector2D< Cmpt > &  y 
)
inline

Construct given the two vectors.

Definition at line 67 of file Tensor2DI.H.

References x, and y.

◆ Tensor2D() [7/8]

Tensor2D ( const Cmpt  txx,
const Cmpt  txy,
const Cmpt  tyx,
const Cmpt  tyy 
)
inline

Construct given the four components.

Definition at line 79 of file Tensor2DI.H.

◆ Tensor2D() [8/8]

Tensor2D ( Istream is)
inline

Construct from Istream.

Definition at line 91 of file Tensor2DI.H.

Member Function Documentation

◆ xx() [1/2]

const Cmpt & xx
inline

◆ xy() [1/2]

const Cmpt & xy
inline

◆ yx() [1/2]

const Cmpt & yx
inline

◆ yy() [1/2]

const Cmpt & yy
inline

◆ xx() [2/2]

Cmpt & xx
inline

Definition at line 138 of file Tensor2DI.H.

◆ xy() [2/2]

Cmpt & xy
inline

Definition at line 144 of file Tensor2DI.H.

◆ yx() [2/2]

Cmpt & yx
inline

Definition at line 150 of file Tensor2DI.H.

◆ yy() [2/2]

Cmpt & yy
inline

Definition at line 156 of file Tensor2DI.H.

◆ x()

Foam::Vector2D< Cmpt > x
inline

Definition at line 100 of file Tensor2DI.H.

Referenced by triSurface::curvature().

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◆ y()

Foam::Vector2D< Cmpt > y
inline

Definition at line 106 of file Tensor2DI.H.

Referenced by triSurface::curvature().

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◆ T()

Foam::Tensor2D< Cmpt > T
inline

Transpose.

Definition at line 163 of file Tensor2DI.H.

◆ operator=() [1/2]

void operator= ( const SymmTensor2D< Cmpt > &  st)
inline

Copy SymmTensor2D.

Definition at line 176 of file Tensor2DI.H.

References SymmTensor2D< Cmpt >::xx(), SymmTensor2D< Cmpt >::xy(), and SymmTensor2D< Cmpt >::yy().

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◆ operator=() [2/2]

void operator= ( const SphericalTensor2D< Cmpt > &  st)
inline

Copy SphericalTensor2D.

Definition at line 184 of file Tensor2DI.H.

References SphericalTensor2D< Cmpt >::ii().

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Member Data Documentation

◆ rank

const direction rank = 2
static

Rank of Tensor2D is 2.

Definition at line 70 of file Tensor2D.H.

◆ I

const Foam::tensor2D I
static

Definition at line 75 of file Tensor2D.H.


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