Eigen::SkewSymmetricBase< Derived > Class Template Reference

Detailed Description

template<typename Derived>
class Eigen::SkewSymmetricBase< Derived >

Base class for skew symmetric matrices and expressions.

This is the base class that is inherited by SkewSymmetricMatrix3 and related expression types, which internally use a three vector for storing the entries. SkewSymmetric types always represent square three times three matrices.

This implementations follows class DiagonalMatrix

Template Parameters

Derived

is the derived type, a SkewSymmetricMatrix3 or SkewSymmetricWrapper.

See also

class SkewSymmetricMatrix3, class SkewSymmetricWrapper

Inheritance diagram for Eigen::SkewSymmetricBase< Derived >:

Public Member Functions
EIGEN_CONSTEXPR Index	cols () const
Derived &	derived ()
const Derived &	derived () const
EIGEN_CONSTEXPR Scalar	determinant () const
DenseMatrixType	exponential () const
template<typename MatrixDerived >
Product< Derived, MatrixDerived, LazyProduct >	operator* (const MatrixBase< MatrixDerived > &matrix) const
SkewSymmetricScaleReturnType	operator* (const Scalar &scalar) const
template<typename MatrixDerived >
Product< Derived, MatrixDerived, LazyProduct >	operator* (const SkewSymmetricBase< MatrixDerived > &matrix) const
template<typename OtherDerived >
SkewSymmetricSumReturnType< OtherDerived >	operator+ (const SkewSymmetricBase< OtherDerived > &other) const
template<typename OtherDerived >
SkewSymmetricDifferenceReturnType< OtherDerived >	operator- (const SkewSymmetricBase< OtherDerived > &other) const
EIGEN_CONSTEXPR Index	rows () const
DenseMatrixType	toDenseMatrix () const
PlainObject	transpose () const
SkewSymmetricVectorType &	vector ()
const SkewSymmetricVectorType &	vector () const
template<typename OtherDerived >
SkewSymmetricProductReturnType< OtherDerived >	wedge (const SkewSymmetricBase< OtherDerived > &other) const
Public Member Functions inherited from Eigen::EigenBase< Derived >
EIGEN_CONSTEXPR Index	cols () const EIGEN_NOEXCEPT
Derived &	derived ()
const Derived &	derived () const
EIGEN_CONSTEXPR Index	rows () const EIGEN_NOEXCEPT
EIGEN_CONSTEXPR Index	size () const EIGEN_NOEXCEPT

Additional Inherited Members
Public Types inherited from Eigen::EigenBase< Derived >
typedef Eigen::Index	Index
	The interface type of indices.

Member Function Documentation

cols()

template<typename Derived >

EIGEN_CONSTEXPR Index Eigen::SkewSymmetricBase< Derived >::cols ( ) const

inline

Returns

the number of columns.

derived() [1/2]

template<typename Derived >

Derived & Eigen::SkewSymmetricBase< Derived >::derived ( )

inline

Returns

a const reference to the derived object.

derived() [2/2]

template<typename Derived >

const Derived & Eigen::SkewSymmetricBase< Derived >::derived ( ) const

inline

Returns

a reference to the derived object.

determinant()

template<typename Derived >

EIGEN_CONSTEXPR Scalar Eigen::SkewSymmetricBase< Derived >::determinant ( ) const

inline

Determinant vanishes

exponential()

template<typename Derived >

DenseMatrixType Eigen::SkewSymmetricBase< Derived >::exponential ( ) const

inline

Returns

the exponential of this matrix using Rodrigues’ formula

operator*() [1/3]

template<typename Derived >

template<typename MatrixDerived >

Product< Derived, MatrixDerived, LazyProduct > Eigen::SkewSymmetricBase< Derived >::operator* ( const MatrixBase< MatrixDerived > & matrix ) const

inline

Returns

the matrix product of *this by the dense matrix, matrix

operator*() [2/3]

template<typename Derived >

SkewSymmetricScaleReturnType Eigen::SkewSymmetricBase< Derived >::operator* ( const Scalar & scalar ) const

inline

Returns

the product of *this by the scalar scalar

operator*() [3/3]

template<typename Derived >

template<typename MatrixDerived >

Product< Derived, MatrixDerived, LazyProduct > Eigen::SkewSymmetricBase< Derived >::operator* ( const SkewSymmetricBase< MatrixDerived > & matrix ) const

inline

Returns

the matrix product of *this by the skew symmetric matrix, matrix

operator+()

template<typename Derived >

template<typename OtherDerived >

SkewSymmetricSumReturnType< OtherDerived > Eigen::SkewSymmetricBase< Derived >::operator+ ( const SkewSymmetricBase< OtherDerived > & other ) const

inline

Returns

the sum of *this and the skew symmetric matrix other

operator-()

template<typename Derived >

template<typename OtherDerived >

SkewSymmetricDifferenceReturnType< OtherDerived > Eigen::SkewSymmetricBase< Derived >::operator- ( const SkewSymmetricBase< OtherDerived > & other ) const

inline

Returns

the difference of *this and the skew symmetric matrix other

rows()

template<typename Derived >

EIGEN_CONSTEXPR Index Eigen::SkewSymmetricBase< Derived >::rows ( ) const

inline

Returns

the number of rows.

toDenseMatrix()

template<typename Derived >

DenseMatrixType Eigen::SkewSymmetricBase< Derived >::toDenseMatrix ( ) const

inline

Constructs a dense matrix from *this. Note, this directly returns a dense matrix type, not an expression.

Returns

A dense matrix, with its entries set from the the derived object.

transpose()

template<typename Derived >

PlainObject Eigen::SkewSymmetricBase< Derived >::transpose ( ) const

inline

A.transpose() = -A

vector() [1/2]

template<typename Derived >

SkewSymmetricVectorType & Eigen::SkewSymmetricBase< Derived >::vector ( )

inline

Returns

a const reference to the derived object's vector of coefficients.

vector() [2/2]

template<typename Derived >

const SkewSymmetricVectorType & Eigen::SkewSymmetricBase< Derived >::vector ( ) const

inline

Returns

a reference to the derived object's vector of coefficients.

wedge()

template<typename Derived >

template<typename OtherDerived >

SkewSymmetricProductReturnType< OtherDerived > Eigen::SkewSymmetricBase< Derived >::wedge ( const SkewSymmetricBase< OtherDerived > & other ) const

inline

Returns

the wedge product of *this by the skew symmetric matrix other A wedge B = AB - BA

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

• SkewSymmetricMatrix3.h