A templated (2 x 2) symmetric tensor of objects of <T>, effectively containing 3 elements, derived from VectorSpace. More...
Public Types | |
enum | components { XX, XY, YY } |
Component labeling enumeration. More... | |
typedef SymmTensor2D< label > | labelType |
Equivalent type of labels used for valid component indexing. More... | |
Public Types inherited from VectorSpace< SymmTensor2D< Cmpt >, Cmpt, 3 > | |
typedef VectorSpace< SymmTensor2D< Cmpt >, 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 | |
SymmTensor2D ()=default | |
Default construct. More... | |
SymmTensor2D (const SymmTensor2D &)=default | |
Copy construct. More... | |
SymmTensor2D & | operator= (const SymmTensor2D &)=default |
Copy assignment. More... | |
SymmTensor2D (const Foam::zero) | |
Construct initialized to zero. More... | |
SymmTensor2D (const VectorSpace< SymmTensor2D< Cmpt >, Cmpt, 3 > &) | |
Construct given VectorSpace. More... | |
SymmTensor2D (const SphericalTensor2D< Cmpt > &) | |
Construct given SphericalTensor. More... | |
SymmTensor2D (const Cmpt txx, const Cmpt txy, const Cmpt tyy) | |
Construct given the three components. More... | |
SymmTensor2D (Istream &is) | |
Construct from Istream. More... | |
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 > | diag () const |
Extract the diagonal as a vector. More... | |
void | diag (const Vector2D< Cmpt > &v) |
Set values of the diagonal. More... | |
scalar | diagSqr () const |
The L2-norm squared of the diagonal. More... | |
const SymmTensor2D< Cmpt > & | T () const noexcept |
Return non-Hermitian transpose. More... | |
Cmpt | det () const |
The determinate. More... | |
SymmTensor2D< Cmpt > | adjunct () const |
Return adjunct matrix (transpose of cofactor matrix) More... | |
SymmTensor2D< Cmpt > | cof () const |
Return cofactor matrix (transpose of adjunct matrix) More... | |
SymmTensor2D< Cmpt > | inv () const |
Return inverse. More... | |
void | operator= (const SphericalTensor2D< Cmpt > &) |
Construct given SphericalTensor2D. More... | |
Public Member Functions inherited from VectorSpace< SymmTensor2D< Cmpt >, Cmpt, 3 > | |
VectorSpace ()=default | |
Default construct. More... | |
VectorSpace (const Foam::zero) | |
Construct initialized to zero. More... | |
VectorSpace (const VectorSpace< SymmTensor2D< Cmpt >, Cmpt, Ncmpts > &vs) | |
Copy construct. More... | |
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... | |
const ConstBlock< SubVector, BStart > | block () const |
const Foam::VectorSpace< SymmTensor2D< Cmpt >, Cmpt, Ncmpts >::template ConstBlock< SubVector, BStart > | block () const |
const Cmpt & | operator[] (const direction) const |
Cmpt & | operator[] (const direction) |
void | operator= (const VectorSpace< SymmTensor2D< Cmpt >, Cmpt, Ncmpts > &) |
void | operator= (const Foam::zero) |
void | operator+= (const VectorSpace< SymmTensor2D< Cmpt >, Cmpt, Ncmpts > &) |
void | operator-= (const VectorSpace< SymmTensor2D< Cmpt >, Cmpt, Ncmpts > &) |
void | operator*= (const scalar) |
void | operator/= (const scalar) |
iterator | begin () noexcept |
Return an iterator to begin of VectorSpace. More... | |
const_iterator | begin () const noexcept |
Return const_iterator to begin of VectorSpace. More... | |
iterator | end () noexcept |
Return an iterator to end of VectorSpace. More... | |
const_iterator | end () const noexcept |
Return const_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... | |
Static Public Attributes | |
static constexpr direction | rank = 2 |
Rank of SymmTensor2D is 2. More... | |
static const SymmTensor2D | I |
Static Public Attributes inherited from VectorSpace< SymmTensor2D< Cmpt >, Cmpt, 3 > | |
static constexpr direction | dim |
Dimensionality of space. More... | |
static constexpr direction | nComponents |
Number of components in this vector space. More... | |
static constexpr direction | mRows |
static constexpr direction | nCols |
static const char *const | typeName |
static const char *const | componentNames [] |
static const SymmTensor2D< Cmpt > | zero |
static const SymmTensor2D< Cmpt > | one |
static const SymmTensor2D< Cmpt > | max |
static const SymmTensor2D< Cmpt > | min |
static const SymmTensor2D< Cmpt > | rootMax |
static const SymmTensor2D< Cmpt > | rootMin |
Additional Inherited Members | |
Static Public Member Functions inherited from VectorSpace< SymmTensor2D< Cmpt >, Cmpt, 3 > | |
static constexpr direction | size () noexcept |
The number of elements in the VectorSpace = Ncmpts. More... | |
static SymmTensor2D< Cmpt > | uniform (const Cmpt &s) |
Return a VectorSpace with all elements = s. More... | |
Public Attributes inherited from VectorSpace< SymmTensor2D< Cmpt >, Cmpt, 3 > | |
Cmpt | v_ [Ncmpts] |
The components of this vector space. More... | |
A templated (2 x 2) symmetric tensor of objects of <T>, effectively containing 3 elements, derived from VectorSpace.
Definition at line 54 of file SymmTensor2D.H.
typedef SymmTensor2D<label> labelType |
Equivalent type of labels used for valid component indexing.
Definition at line 65 of file SymmTensor2D.H.
enum components |
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default |
Default construct.
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default |
Copy construct.
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inline |
Construct initialized to zero.
Definition at line 27 of file SymmTensor2DI.H.
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inline |
Construct given VectorSpace.
Definition at line 35 of file SymmTensor2DI.H.
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inline |
Construct given SphericalTensor.
Definition at line 44 of file SymmTensor2DI.H.
References SphericalTensor2D< Cmpt >::ii(), and Foam::Zero.
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inline |
Construct given the three components.
Definition at line 53 of file SymmTensor2DI.H.
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inlineexplicit |
Construct from Istream.
Definition at line 64 of file SymmTensor2DI.H.
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default |
Copy assignment.
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inlinenoexcept |
Definition at line 141 of file SymmTensor2D.H.
References VectorSpace< SymmTensor2D< Cmpt >, Cmpt, 3 >::v_, and SymmTensor2D< Cmpt >::XX.
Referenced by Foam::innerSqr(), Foam::magSqr(), Foam::operator &(), Foam::operator &&(), Foam::operator+(), Foam::operator-(), Foam::operator/(), Tensor2D< Cmpt >::operator=(), Tensor2D< Cmpt >::Tensor2D(), and Foam::tr().
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inlinenoexcept |
Definition at line 142 of file SymmTensor2D.H.
References VectorSpace< SymmTensor2D< Cmpt >, Cmpt, 3 >::v_, and SymmTensor2D< Cmpt >::XY.
Referenced by Foam::innerSqr(), Foam::magSqr(), Foam::operator &(), Foam::operator &&(), Foam::operator+(), Foam::operator-(), Foam::operator/(), Tensor2D< Cmpt >::operator=(), and Tensor2D< Cmpt >::Tensor2D().
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inlinenoexcept |
Definition at line 143 of file SymmTensor2D.H.
References VectorSpace< SymmTensor2D< Cmpt >, Cmpt, 3 >::v_, and SymmTensor2D< Cmpt >::XY.
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inlinenoexcept |
Definition at line 144 of file SymmTensor2D.H.
References VectorSpace< SymmTensor2D< Cmpt >, Cmpt, 3 >::v_, and SymmTensor2D< Cmpt >::YY.
Referenced by Foam::innerSqr(), Foam::magSqr(), Foam::operator &(), Foam::operator &&(), Foam::operator+(), Foam::operator-(), Foam::operator/(), Tensor2D< Cmpt >::operator=(), Tensor2D< Cmpt >::Tensor2D(), and Foam::tr().
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inlinenoexcept |
Definition at line 146 of file SymmTensor2D.H.
References VectorSpace< SymmTensor2D< Cmpt >, Cmpt, 3 >::v_, and SymmTensor2D< Cmpt >::XX.
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inlinenoexcept |
Definition at line 147 of file SymmTensor2D.H.
References VectorSpace< SymmTensor2D< Cmpt >, Cmpt, 3 >::v_, and SymmTensor2D< Cmpt >::XY.
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inlinenoexcept |
Definition at line 148 of file SymmTensor2D.H.
References VectorSpace< SymmTensor2D< Cmpt >, Cmpt, 3 >::v_, and SymmTensor2D< Cmpt >::XY.
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inlinenoexcept |
Definition at line 149 of file SymmTensor2D.H.
References VectorSpace< SymmTensor2D< Cmpt >, Cmpt, 3 >::v_, and SymmTensor2D< Cmpt >::YY.
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inline |
Extract the diagonal as a vector.
Definition at line 73 of file SymmTensor2DI.H.
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inline |
Set values of the diagonal.
Definition at line 80 of file SymmTensor2DI.H.
References Vector2D< Cmpt >::x(), and Vector2D< Cmpt >::y().
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inline |
The L2-norm squared of the diagonal.
Definition at line 87 of file SymmTensor2DI.H.
References Foam::magSqr().
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inlinenoexcept |
Return non-Hermitian transpose.
Definition at line 175 of file SymmTensor2D.H.
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inline |
The determinate.
Definition at line 98 of file SymmTensor2DI.H.
Referenced by Foam::det().
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inline |
Return adjunct matrix (transpose of cofactor matrix)
Definition at line 105 of file SymmTensor2DI.H.
Referenced by Foam::inv().
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inline |
Return cofactor matrix (transpose of adjunct matrix)
Definition at line 117 of file SymmTensor2DI.H.
Referenced by Foam::cof().
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inline |
Return inverse.
Definition at line 126 of file SymmTensor2DI.H.
References Foam::abort(), Foam::det(), Foam::FatalError, FatalErrorInFunction, Foam::mag(), and Foam::nl.
Referenced by Foam::inv().
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inline |
Construct given SphericalTensor2D.
Definition at line 148 of file SymmTensor2DI.H.
References Foam::Zero.
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static |
Rank of SymmTensor2D is 2.
Definition at line 73 of file SymmTensor2D.H.
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static |
Definition at line 78 of file SymmTensor2D.H.
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