Templated 3D spatial tensor derived from MatrixSpace used to represent transformations of spatial vectors and the angular and linear inertia of rigid bodies. More...
Public Member Functions | |
SpatialTensor () | |
Construct null. More... | |
SpatialTensor (const Foam::zero) | |
Construct initialized 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 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< 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 initialized 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 scalar) |
void | operator/= (const scalar) |
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 |
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 | identity () |
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... | |
Templated 3D spatial tensor derived from MatrixSpace used to represent transformations of spatial vectors and the angular and linear inertia of rigid bodies.
Featherstone, R. (2008). Rigid body dynamics algorithms. Springer.
Definition at line 64 of file SpatialTensor.H.
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Construct null.
Definition at line 31 of file SpatialTensorI.H.
Referenced by SpatialTensor< Cmpt >::SpatialTensor().
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Construct initialized to zero.
Definition at line 36 of file SpatialTensorI.H.
References SpatialTensor< Cmpt >::SpatialTensor().
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Construct given MatrixSpace of the same rank.
Definition at line 44 of file SpatialTensorI.H.
References SpatialTensor< Cmpt >::SpatialTensor().
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Construct given 4 tensor blocks.
Definition at line 54 of file SpatialTensorI.H.
References SpatialTensor< Cmpt >::SpatialTensor(), VectorSpace< SpatialTensor< Cmpt >, Cmpt, Mrows *Ncols >::v_, 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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Construct given 36 components.
Definition at line 83 of file SpatialTensorI.H.
References VectorSpace< SpatialTensor< Cmpt >, Cmpt, Mrows *Ncols >::v_.
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Construct from Istream.
Definition at line 130 of file SpatialTensorI.H.
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Rank of Tensor is 2.
Definition at line 74 of file SpatialTensor.H.
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Identity matrix for square matrices.
Definition at line 80 of file SpatialTensor.H.