A templated (2 x 2) tensor of objects of <T> derived from VectorSpace. More...
#include <Tensor2D.H>


Public Types | |
| enum | components { XX , XY , YX , YY } |
| Component labeling enumeration. More... | |
| typedef Tensor2D< label > | labelType |
| Equivalent type of labels used for valid component indexing. | |
| Public Types inherited from VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 > | |
| typedef VectorSpace< Tensor2D< Cmpt >, Cmpt, Ncmpts > | vsType |
| VectorSpace type. | |
| typedef Cmpt | cmptType |
| Component type. | |
| typedef Cmpt | magType |
| Magnitude type. | |
| typedef direction | size_type |
| The type to represent the size of a VectorSpace. | |
| typedef Cmpt * | iterator |
| Random access iterator for traversing VectorSpace. | |
| typedef const Cmpt * | const_iterator |
| Random access iterator for traversing VectorSpace. | |
Public Member Functions | |
| Tensor2D ()=default | |
| Default construct. | |
| Tensor2D (const Tensor2D &)=default | |
| Copy construct. | |
| Tensor2D & | operator= (const Tensor2D &)=default |
| Copy assignment. | |
| Tensor2D (Foam::zero) | |
| Construct initialized to zero. | |
| Tensor2D (const VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 > &vs) | |
| Construct given VectorSpace. | |
| Tensor2D (const SymmTensor2D< Cmpt > &st) | |
| Construct given SymmTensor2D. | |
| Tensor2D (const SphericalTensor2D< Cmpt > &st) | |
| Construct given SphericalTensor2D. | |
| Tensor2D (const Vector2D< Cmpt > &x, const Vector2D< Cmpt > &y) | |
| Construct given the two row vectors. | |
| Tensor2D (const Cmpt txx, const Cmpt txy, const Cmpt tyx, const Cmpt tyy) | |
| Construct given the four components. | |
| Tensor2D (Istream &is) | |
| Construct from Istream. | |
| const Cmpt & | xx () const noexcept |
| const Cmpt & | xy () const noexcept |
| const Cmpt & | yx () const noexcept |
| const Cmpt & | yy () const noexcept |
| Cmpt & | xx () noexcept |
| Cmpt & | xy () noexcept |
| Cmpt & | yx () noexcept |
| Cmpt & | yy () noexcept |
| Vector2D< Cmpt > | cx () const |
| Extract vector for column 0. | |
| Vector2D< Cmpt > | cy () const |
| Extract vector for column 1. | |
| template<direction Idx> | |
| Vector2D< Cmpt > | col () const |
| Extract vector for given column: compile-time check of index. | |
| Vector2D< Cmpt > | col (const direction c) const |
| Extract vector for given column (0,1): runtime check of index. | |
| template<direction Idx> | |
| void | col (const Vector2D< Cmpt > &v) |
| Set values of given column: compile-time check of index. | |
| void | col (const direction c, const Vector2D< Cmpt > &v) |
| Set values of given column (0,1): runtime check of index. | |
| void | cols (const Vector2D< Cmpt > &x, const Vector2D< Cmpt > &y) |
| Set column values. | |
| Vector2D< Cmpt > | x () const |
| Extract vector for row 0. | |
| Vector2D< Cmpt > | y () const |
| Extract vector for row 1. | |
| template<direction Idx> | |
| Vector2D< Cmpt > | row () const |
| Extract vector for given row: compile-time check of index. | |
| Vector2D< Cmpt > | row (const direction r) const |
| Extract vector for given row (0,1): runtime check of index. | |
| template<direction Idx> | |
| void | row (const Vector2D< Cmpt > &v) |
| Set values of given row: compile-time check of index. | |
| void | row (const direction r, const Vector2D< Cmpt > &v) |
| Set values of given row (0,1): compile-time check of index. | |
| void | rows (const Vector2D< Cmpt > &x, const Vector2D< Cmpt > &y) |
| Set row values. | |
| Vector2D< Cmpt > | diag () const |
| Extract the diagonal as a vector. | |
| void | diag (const Vector2D< Cmpt > &v) |
| Set values of the diagonal. | |
| scalar | diagSqr () const |
| The L2-norm squared of the diagonal. | |
| Tensor2D< Cmpt > | T () const |
| Return non-Hermitian transpose. | |
| Cmpt | det () const |
| The determinate. | |
| Tensor2D< Cmpt > | adjunct () const |
| Return adjunct matrix (transpose of cofactor matrix). | |
| Tensor2D< Cmpt > | cof () const |
| Return cofactor matrix (transpose of adjunct matrix). | |
| Tensor2D< Cmpt > | inv () const |
| Return inverse. | |
| Tensor2D< Cmpt > | inner (const Tensor2D< Cmpt > &t2) const |
| Inner-product of this with another Tensor2D. | |
| Tensor2D< Cmpt > | schur (const Tensor2D< Cmpt > &t2) const |
| Schur-product of this with another Tensor2D. | |
| void | operator= (const SymmTensor2D< Cmpt > &) |
| Copy assign from SymmTensor2D. | |
| void | operator= (const SphericalTensor2D< Cmpt > &) |
| Copy assign from SphericalTensor2D. | |
| Vector2D< Cmpt > | vectorComponent (const direction cmpt) const |
| Deprecated(2018-12) Return vector for given row (0,1). | |
| template<Foam::direction Idx> | |
| Foam::Vector2D< Cmpt > | col () const |
| template<Foam::direction Idx> | |
| Foam::Vector2D< Cmpt > | row () const |
| Public Member Functions inherited from VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 > | |
| const Foam::VectorSpace< Tensor2D< Cmpt >, Cmpt, Ncmpts >::template ConstBlock< SubVector, BStart > | block () const |
| VectorSpace ()=default | |
| Default construct. | |
| const Cmpt & | component (const direction) const |
| void | replace (const direction, const Cmpt &) |
| const Cmpt * | cdata () const noexcept |
| Return const pointer to the first data element. | |
| Cmpt * | data () noexcept |
| Return pointer to the first data element. | |
| void | fill (const Cmpt &s) |
| Assign all components to given value. | |
| const Cmpt & | operator[] (const direction) const |
| void | operator= (const VectorSpace< Tensor2D< Cmpt >, Cmpt, Ncmpts > &) |
| void | operator+= (const VectorSpace< Tensor2D< Cmpt >, Cmpt, Ncmpts > &) |
| void | operator-= (const VectorSpace< Tensor2D< Cmpt >, Cmpt, Ncmpts > &) |
| void | operator*= (const scalar) |
| void | operator/= (const scalar) |
| iterator | begin () noexcept |
| Return an iterator (pointer) to begin of VectorSpace. | |
| const_iterator | cbegin () const noexcept |
| Return const_iterator (const pointer) to begin of VectorSpace. | |
| iterator | end () noexcept |
| Return an iterator (pointer) to end of VectorSpace. | |
| const_iterator | cend () const noexcept |
| Return const_iterator (const pointer) to end of VectorSpace. | |
Static Public Attributes | |
| static constexpr direction | rank = 2 |
| Rank of Tensor2D is 2. | |
| static const Tensor2D | I |
| Static Public Attributes inherited from VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 > | |
| static constexpr direction | dim |
| Dimensionality of space. | |
| static constexpr direction | nComponents |
| Number of components in this vector space. | |
| static constexpr direction | mRows |
| static constexpr 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 constexpr direction | size () noexcept |
| The number of elements in the VectorSpace = Ncmpts. | |
| static Tensor2D< Cmpt > | uniform (const Cmpt &s) |
| Return a VectorSpace with all elements = s. | |
| Public Attributes inherited from VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 > | |
| Cmpt | v_ [Ncmpts] |
| The components of this vector space. | |
A templated (2 x 2) tensor of objects of <T> derived from VectorSpace.
Definition at line 52 of file Tensor2D.H.
Equivalent type of labels used for valid component indexing.
Definition at line 63 of file Tensor2D.H.
| enum components |
|
default |
Default construct.
Referenced by adjunct(), inner(), schur(), T(), Tensor2D(), Tensor2D(), and Tensor2D().

|
default |
Copy construct.
|
inline |
Construct initialized to zero.
Definition at line 25 of file Tensor2DI.H.
References Tensor2D(), and VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::zero.

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inline |
Construct given VectorSpace.
Definition at line 32 of file Tensor2DI.H.
References Tensor2D(), and VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::VectorSpace().

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inline |
Construct given SymmTensor2D.
Definition at line 42 of file Tensor2DI.H.
References VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::v_, XX, SymmTensor2D< Cmpt >::xx(), XY, SymmTensor2D< Cmpt >::xy(), YX, YY, and SymmTensor2D< Cmpt >::yy().

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inline |
Construct given SphericalTensor2D.
Definition at line 50 of file Tensor2DI.H.
References SphericalTensor2D< Cmpt >::ii(), VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::v_, XX, XY, YX, YY, and Foam::Zero.

Construct given the two row vectors.
Definition at line 58 of file Tensor2DI.H.
References VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::v_, x(), XX, XY, y(), YX, and YY.

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inline |
Construct given the four components.
Definition at line 70 of file Tensor2DI.H.
References VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::v_, XX, XY, YX, and YY.
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inlineexplicit |
Construct from Istream.
Definition at line 82 of file Tensor2DI.H.
References Tensor2D().

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inlinenoexcept |
Definition at line 153 of file Tensor2D.H.
Referenced by adjunct(), det(), diagSqr(), inner(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&&(), Foam::operator&&(), Foam::operator&&(), Foam::operator&&(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator/(), schur(), Foam::symm(), T(), Foam::tr(), and Foam::twoSymm().

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inlinenoexcept |
Definition at line 154 of file Tensor2D.H.
Referenced by adjunct(), det(), inner(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&&(), Foam::operator&&(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator/(), schur(), Foam::skew(), Foam::symm(), T(), and Foam::twoSymm().

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inlinenoexcept |
Definition at line 155 of file Tensor2D.H.
Referenced by adjunct(), det(), inner(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&&(), Foam::operator&&(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator/(), schur(), Foam::skew(), Foam::symm(), T(), and Foam::twoSymm().

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inlinenoexcept |
Definition at line 156 of file Tensor2D.H.
Referenced by adjunct(), det(), diagSqr(), inner(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&&(), Foam::operator&&(), Foam::operator&&(), Foam::operator&&(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator/(), schur(), Foam::symm(), T(), Foam::tr(), and Foam::twoSymm().

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inlinenoexcept |
Definition at line 158 of file Tensor2D.H.
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inlinenoexcept |
Definition at line 159 of file Tensor2D.H.
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inlinenoexcept |
Definition at line 160 of file Tensor2D.H.
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inlinenoexcept |
Definition at line 161 of file Tensor2D.H.
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inline |
Extract vector for column 0.
Definition at line 104 of file Tensor2DI.H.
References VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::v_, XX, and YX.
Referenced by col().

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inline |
Extract vector for column 1.
Definition at line 110 of file Tensor2DI.H.
References VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::v_, XY, and YY.
Referenced by col().

Extract vector for given column: compile-time check of index.
Referenced by col().

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inline |
Extract vector for given column (0,1): runtime check of index.
Definition at line 129 of file Tensor2DI.H.
References Foam::abort(), cx(), cy(), Foam::FatalError, FatalErrorInFunction, and Foam::Zero.

Set values of given column: compile-time check of index.
Definition at line 174 of file Tensor2DI.H.
References VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::v_, Vector2D< Cmpt >::x(), XX, XY, Vector2D< Cmpt >::y(), YX, and YY.

Set values of given column (0,1): runtime check of index.
Definition at line 233 of file Tensor2DI.H.
References Foam::abort(), col(), Foam::FatalError, and FatalErrorInFunction.

Set column values.
Definition at line 209 of file Tensor2DI.H.
References VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::v_, x(), XX, XY, y(), YX, and YY.

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inline |
Extract vector for row 0.
Definition at line 91 of file Tensor2DI.H.
References VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::v_, XX, and XY.
Referenced by cols(), triSurfaceTools::curvatures(), rows(), and Tensor2D().

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inline |
Extract vector for row 1.
Definition at line 97 of file Tensor2DI.H.
References VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::v_, YX, and YY.
Referenced by cols(), triSurfaceTools::curvatures(), rows(), and Tensor2D().

Extract vector for given row: compile-time check of index.
Referenced by row(), and Tensor2D< scalar >::vectorComponent().

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inline |
Extract vector for given row (0,1): runtime check of index.
Definition at line 157 of file Tensor2DI.H.
References Foam::abort(), Foam::FatalError, FatalErrorInFunction, x, y, and Foam::Zero.

Set values of given row: compile-time check of index.
Definition at line 193 of file Tensor2DI.H.
References VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::v_, Vector2D< Cmpt >::x(), XX, XY, Vector2D< Cmpt >::y(), YX, and YY.

Set values of given row (0,1): compile-time check of index.
Definition at line 251 of file Tensor2DI.H.
References Foam::abort(), Foam::FatalError, FatalErrorInFunction, and row().

Set row values.
Definition at line 221 of file Tensor2DI.H.
References VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::v_, x(), XX, XY, y(), YX, and YY.

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inline |
Extract the diagonal as a vector.
Definition at line 269 of file Tensor2DI.H.
References VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::v_, XX, and YY.
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inline |
Set values of the diagonal.
Definition at line 276 of file Tensor2DI.H.
References VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::v_, Vector2D< Cmpt >::x(), XX, Vector2D< Cmpt >::y(), and YY.

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inline |
The L2-norm squared of the diagonal.
Definition at line 283 of file Tensor2DI.H.
References Foam::magSqr(), xx(), and yy().

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inline |
Return non-Hermitian transpose.
Definition at line 296 of file Tensor2DI.H.
References Tensor2D(), xx(), xy(), yx(), and yy().

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inline |
The determinate.
Definition at line 307 of file Tensor2DI.H.
References xx(), xy(), yx(), and yy().
Referenced by Foam::det().


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inline |
Return adjunct matrix (transpose of cofactor matrix).
Definition at line 314 of file Tensor2DI.H.
References Tensor2D(), xx(), xy(), yx(), and yy().
Referenced by cof(), Foam::inv(), and inv().


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inline |
Return cofactor matrix (transpose of adjunct matrix).
Definition at line 325 of file Tensor2DI.H.
References adjunct().
Referenced by Foam::cof().


|
inline |
Return inverse.
Definition at line 364 of file Tensor2DI.H.
References Foam::abort(), adjunct(), Foam::det(), Foam::FatalError, FatalErrorInFunction, Foam::mag(), and Foam::nl.
Referenced by Foam::inv().


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inline |
Inner-product of this with another Tensor2D.
Definition at line 333 of file Tensor2DI.H.
References Tensor2D(), xx(), xy(), yx(), and yy().
Referenced by Foam::operator&().


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inline |
Schur-product of this with another Tensor2D.
Definition at line 350 of file Tensor2DI.H.
References Tensor2D(), xx(), xy(), yx(), and yy().

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inline |
Copy assign from SymmTensor2D.
Definition at line 385 of file Tensor2DI.H.
References VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::v_, XX, SymmTensor2D< Cmpt >::xx(), XY, SymmTensor2D< Cmpt >::xy(), YX, YY, and SymmTensor2D< Cmpt >::yy().

|
inline |
Copy assign from SphericalTensor2D.
Definition at line 393 of file Tensor2DI.H.
References SphericalTensor2D< Cmpt >::ii(), VectorSpace< Tensor2D< Cmpt >, Cmpt, 4 >::v_, XX, XY, YX, YY, and Foam::Zero.

Deprecated(2018-12) Return vector for given row (0,1).
Definition at line 321 of file Tensor2D.H.
Definition at line 118 of file Tensor2DI.H.
Definition at line 146 of file Tensor2DI.H.
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staticconstexpr |
Rank of Tensor2D is 2.
Definition at line 71 of file Tensor2D.H.
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static |
Definition at line 76 of file Tensor2D.H.