Represents a 3x3 skew symmetric matrix with its storage. More...

#include <SkewSymmetricMatrix3.h>

Inheritance diagram for Eigen::SkewSymmetricMatrix3< Scalar_ >:

Public Types
typedef internal::traits< SkewSymmetricMatrix3 >::SkewSymmetricVectorType	SkewSymmetricVectorType

typedef const SkewSymmetricMatrix3 &	Nested

typedef Scalar_	Scalar

typedef internal::traits< SkewSymmetricMatrix3 >::StorageKind	StorageKind

typedef internal::traits< SkewSymmetricMatrix3 >::StorageIndex	StorageIndex

typedef SkewSymmetricWrapper< const CwiseNullaryOp< internal::scalar_constant_op< Scalar >, SkewSymmetricVectorType > >	InitializeReturnType

Public Types inherited from Eigen::SkewSymmetricBase< SkewSymmetricMatrix3< Scalar_ > >
enum

typedef internal::traits< SkewSymmetricMatrix3< Scalar_ > >::SkewSymmetricVectorType	SkewSymmetricVectorType

typedef SkewSymmetricVectorType::Scalar	Scalar

typedef SkewSymmetricVectorType::RealScalar	RealScalar

typedef internal::traits< SkewSymmetricMatrix3< Scalar_ > >::StorageKind	StorageKind

typedef internal::traits< SkewSymmetricMatrix3< Scalar_ > >::StorageIndex	StorageIndex

typedef Matrix< Scalar, RowsAtCompileTime, ColsAtCompileTime, 0, MaxRowsAtCompileTime, MaxColsAtCompileTime >	DenseMatrixType

typedef DenseMatrixType	DenseType

typedef SkewSymmetricMatrix3< Scalar >	PlainObject

using	SkewSymmetricProductReturnType = SkewSymmetricWrapper< const EIGEN_CWISE_BINARY_RETURN_TYPE(SkewSymmetricVectorType, typename OtherDerived::SkewSymmetricVectorType, product)>

using	SkewSymmetricScaleReturnType = SkewSymmetricWrapper< const EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE(SkewSymmetricVectorType, Scalar, product)>

using	ScaleSkewSymmetricReturnType = SkewSymmetricWrapper< const EIGEN_SCALAR_BINARYOP_EXPR_RETURN_TYPE(Scalar, SkewSymmetricVectorType, product)>

using	SkewSymmetricSumReturnType = SkewSymmetricWrapper< const EIGEN_CWISE_BINARY_RETURN_TYPE(SkewSymmetricVectorType, typename OtherDerived::SkewSymmetricVectorType, sum)>

using	SkewSymmetricDifferenceReturnType = SkewSymmetricWrapper< const EIGEN_CWISE_BINARY_RETURN_TYPE(SkewSymmetricVectorType, typename OtherDerived::SkewSymmetricVectorType, difference)>

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

typedef internal::traits< Derived >::StorageKind	StorageKind

Public Member Functions
EIGEN_DEVICE_FUNC const SkewSymmetricVectorType &	vector () const

EIGEN_DEVICE_FUNC SkewSymmetricVectorType &	vector ()

EIGEN_DEVICE_FUNC	SkewSymmetricMatrix3 ()

EIGEN_DEVICE_FUNC	SkewSymmetricMatrix3 (const Scalar &x, const Scalar &y, const Scalar &z)

EIGEN_DEVICE_FUNC	SkewSymmetricMatrix3 (SkewSymmetricVectorType &&vec)
	Constructs a SkewSymmetricMatrix3 from an r-value vector type. More...

template<typename OtherDerived >
EIGEN_DEVICE_FUNC	SkewSymmetricMatrix3 (const MatrixBase< OtherDerived > &other)

template<typename OtherDerived >
EIGEN_DEVICE_FUNC	SkewSymmetricMatrix3 (const SkewSymmetricBase< OtherDerived > &other)

	SkewSymmetricMatrix3 (const SkewSymmetricMatrix3 &other)

template<typename OtherDerived >
EIGEN_DEVICE_FUNC SkewSymmetricMatrix3 &	operator= (const SkewSymmetricBase< OtherDerived > &other)

EIGEN_DEVICE_FUNC SkewSymmetricMatrix3 &	operator= (const SkewSymmetricMatrix3 &other)

EIGEN_DEVICE_FUNC void	setZero ()

Public Member Functions inherited from Eigen::SkewSymmetricBase< SkewSymmetricMatrix3< Scalar_ > >
EIGEN_DEVICE_FUNC const SkewSymmetricMatrix3< Scalar_ > &	derived () const

EIGEN_DEVICE_FUNC SkewSymmetricMatrix3< Scalar_ > &	derived ()

EIGEN_DEVICE_FUNC DenseMatrixType	toDenseMatrix () const

EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Scalar	determinant () const

EIGEN_DEVICE_FUNC PlainObject	transpose () const

EIGEN_DEVICE_FUNC DenseMatrixType	exponential () const

EIGEN_DEVICE_FUNC const SkewSymmetricVectorType &	vector () const

EIGEN_DEVICE_FUNC SkewSymmetricVectorType &	vector ()

EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index	rows () const

EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index	cols () const

EIGEN_DEVICE_FUNC Product< SkewSymmetricMatrix3< Scalar_ >, MatrixDerived, LazyProduct >	operator* (const MatrixBase< MatrixDerived > &matrix) const

EIGEN_DEVICE_FUNC Product< SkewSymmetricMatrix3< Scalar_ >, MatrixDerived, LazyProduct >	operator* (const SkewSymmetricBase< MatrixDerived > &matrix) const

EIGEN_DEVICE_FUNC SkewSymmetricScaleReturnType	operator* (const Scalar &scalar) const

EIGEN_DEVICE_FUNC SkewSymmetricProductReturnType< OtherDerived >	wedge (const SkewSymmetricBase< OtherDerived > &other) const

EIGEN_DEVICE_FUNC SkewSymmetricSumReturnType< OtherDerived >	operator+ (const SkewSymmetricBase< OtherDerived > &other) const

EIGEN_DEVICE_FUNC SkewSymmetricDifferenceReturnType< OtherDerived >	operator- (const SkewSymmetricBase< OtherDerived > &other) const

Public Member Functions inherited from Eigen::EigenBase< Derived >
constexpr EIGEN_DEVICE_FUNC Derived &	derived ()

constexpr EIGEN_DEVICE_FUNC const Derived &	derived () const

EIGEN_DEVICE_FUNC Derived &	const_cast_derived () const

EIGEN_DEVICE_FUNC const Derived &	const_derived () const

EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index	rows () const EIGEN_NOEXCEPT

EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index	cols () const EIGEN_NOEXCEPT

EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index	size () const EIGEN_NOEXCEPT

template<typename Dest >
EIGEN_DEVICE_FUNC void	evalTo (Dest &dst) const

template<typename Dest >
EIGEN_DEVICE_FUNC void	addTo (Dest &dst) const

template<typename Dest >
EIGEN_DEVICE_FUNC void	subTo (Dest &dst) const

template<typename Dest >
EIGEN_DEVICE_FUNC void	applyThisOnTheRight (Dest &dst) const

template<typename Dest >
EIGEN_DEVICE_FUNC void	applyThisOnTheLeft (Dest &dst) const

template<typename Device >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE DeviceWrapper< Derived, Device >	device (Device &device)

template<typename Device >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE DeviceWrapper< const Derived, Device >	device (Device &device) const

Static Public Member Functions
static EIGEN_DEVICE_FUNC InitializeReturnType	Zero ()

Protected Attributes
SkewSymmetricVectorType	m_vector

Detailed Description

template<typename Scalar_>
class Eigen::SkewSymmetricMatrix3< Scalar_ >

Represents a 3x3 skew symmetric matrix with its storage.

Template Parameters

Scalar_ the type of coefficients

See also: class SkewSymmetricBase, class SkewSymmetricWrapper

Member Typedef Documentation

◆ InitializeReturnType

template<typename Scalar_ >

typedef SkewSymmetricWrapper<const CwiseNullaryOp<internal::scalar_constant_op<Scalar>, SkewSymmetricVectorType> > Eigen::SkewSymmetricMatrix3< Scalar_ >::InitializeReturnType

◆ Nested

template<typename Scalar_ >

typedef const SkewSymmetricMatrix3& Eigen::SkewSymmetricMatrix3< Scalar_ >::Nested

◆ Scalar

template<typename Scalar_ >

typedef Scalar_ Eigen::SkewSymmetricMatrix3< Scalar_ >::Scalar

◆ SkewSymmetricVectorType

template<typename Scalar_ >

typedef internal::traits<SkewSymmetricMatrix3>::SkewSymmetricVectorType Eigen::SkewSymmetricMatrix3< Scalar_ >::SkewSymmetricVectorType

◆ StorageIndex

template<typename Scalar_ >

typedef internal::traits<SkewSymmetricMatrix3>::StorageIndex Eigen::SkewSymmetricMatrix3< Scalar_ >::StorageIndex

◆ StorageKind

template<typename Scalar_ >

typedef internal::traits<SkewSymmetricMatrix3>::StorageKind Eigen::SkewSymmetricMatrix3< Scalar_ >::StorageKind

Constructor & Destructor Documentation

◆ SkewSymmetricMatrix3() [1/6]

template<typename Scalar_ >

EIGEN_DEVICE_FUNC Eigen::SkewSymmetricMatrix3< Scalar_ >::SkewSymmetricMatrix3 ( )

inline

Default constructor without initialization

203 {}

◆ SkewSymmetricMatrix3() [2/6]

template<typename Scalar_ >

EIGEN_DEVICE_FUNC Eigen::SkewSymmetricMatrix3< Scalar_ >::SkewSymmetricMatrix3	(	const Scalar &	x,
		const Scalar &	y,
		const Scalar &	z
	)

inline

Constructor from three scalars

207 : m_vector(x, y, z) {}

Eigen::SkewSymmetricMatrix3::m_vector

SkewSymmetricVectorType m_vector

Definition: SkewSymmetricMatrix3.h:194

y

Scalar * y

Definition: level1_cplx_impl.h:128

plotDoE.x

list x

Definition: plotDoE.py:28

◆ SkewSymmetricMatrix3() [3/6]

template<typename Scalar_ >

EIGEN_DEVICE_FUNC Eigen::SkewSymmetricMatrix3< Scalar_ >::SkewSymmetricMatrix3 ( SkewSymmetricVectorType && vec )

inlineexplicit

Constructs a SkewSymmetricMatrix3 from an r-value vector type.

210 : m_vector(std::move(vec)) {}

◆ SkewSymmetricMatrix3() [4/6]

template<typename Scalar_ >

template<typename OtherDerived >

EIGEN_DEVICE_FUNC Eigen::SkewSymmetricMatrix3< Scalar_ >::SkewSymmetricMatrix3 ( const MatrixBase< OtherDerived > & other )

inlineexplicit

generic constructor from expression of the coefficients

214 : m_vector(other) {}

◆ SkewSymmetricMatrix3() [5/6]

template<typename Scalar_ >

template<typename OtherDerived >

EIGEN_DEVICE_FUNC Eigen::SkewSymmetricMatrix3< Scalar_ >::SkewSymmetricMatrix3 ( const SkewSymmetricBase< OtherDerived > & other )

inline

Copy constructor.

219 : m_vector(other.vector()) {}

◆ SkewSymmetricMatrix3() [6/6]

template<typename Scalar_ >

Eigen::SkewSymmetricMatrix3< Scalar_ >::SkewSymmetricMatrix3 ( const SkewSymmetricMatrix3< Scalar_ > & other )

inline

copy constructor. prevent a default copy constructor from hiding the other templated constructor

223 : m_vector(other.vector()) {}

Member Function Documentation

◆ operator=() [1/2]

template<typename Scalar_ >

template<typename OtherDerived >

EIGEN_DEVICE_FUNC SkewSymmetricMatrix3& Eigen::SkewSymmetricMatrix3< Scalar_ >::operator= ( const SkewSymmetricBase< OtherDerived > & other )

inline

Copy operator.

                                                                                                   {
     m_vector = other.vector();
     return *this;
   }

References Eigen::SkewSymmetricMatrix3< Scalar_ >::m_vector, and Eigen::SkewSymmetricBase< Derived >::vector().

◆ operator=() [2/2]

template<typename Scalar_ >

EIGEN_DEVICE_FUNC SkewSymmetricMatrix3& Eigen::SkewSymmetricMatrix3< Scalar_ >::operator= ( const SkewSymmetricMatrix3< Scalar_ > & other )

inline

This is a special case of the templated operator=. Its purpose is to prevent a default operator= from hiding the templated operator=.

                                                                                        {
     m_vector = other.vector();
     return *this;
   }

References Eigen::SkewSymmetricMatrix3< Scalar_ >::m_vector, and Eigen::SkewSymmetricMatrix3< Scalar_ >::vector().

◆ setZero()

template<typename Scalar_ >

EIGEN_DEVICE_FUNC void Eigen::SkewSymmetricMatrix3< Scalar_ >::setZero ( )

inline

Sets all coefficients to zero.

250 { m_vector.setZero(); }

References Eigen::SkewSymmetricMatrix3< Scalar_ >::m_vector.

◆ vector() [1/2]

template<typename Scalar_ >

EIGEN_DEVICE_FUNC SkewSymmetricVectorType& Eigen::SkewSymmetricMatrix3< Scalar_ >::vector ( )

inline

Returns: a reference to the stored vector of coefficients.

200 { return m_vector; }

References Eigen::SkewSymmetricMatrix3< Scalar_ >::m_vector.

◆ vector() [2/2]

template<typename Scalar_ >

EIGEN_DEVICE_FUNC const SkewSymmetricVectorType& Eigen::SkewSymmetricMatrix3< Scalar_ >::vector ( ) const

inline

const version of vector().

198 { return m_vector; }

References Eigen::SkewSymmetricMatrix3< Scalar_ >::m_vector.

Referenced by anonymous_namespace{skew_symmetric_matrix3.cpp}::assignments(), anonymous_namespace{skew_symmetric_matrix3.cpp}::constructors(), anonymous_namespace{skew_symmetric_matrix3.cpp}::multiplyScale(), and Eigen::SkewSymmetricMatrix3< Scalar_ >::operator=().

◆ Zero()

template<typename Scalar_ >

static EIGEN_DEVICE_FUNC InitializeReturnType Eigen::SkewSymmetricMatrix3< Scalar_ >::Zero ( )

inlinestatic

Initializes a skew symmetric matrix with coefficients set to zero

247 { return SkewSymmetricVectorType::Zero().asSkewSymmetric(); }

oomph::PseudoSolidHelper::Zero

double Zero

Definition: pseudosolid_node_update_elements.cc:35

References oomph::PseudoSolidHelper::Zero.

Member Data Documentation

◆ m_vector

template<typename Scalar_ >

SkewSymmetricVectorType Eigen::SkewSymmetricMatrix3< Scalar_ >::m_vector

protected

Referenced by Eigen::SkewSymmetricMatrix3< Scalar_ >::operator=(), Eigen::SkewSymmetricMatrix3< Scalar_ >::setZero(), and Eigen::SkewSymmetricMatrix3< Scalar_ >::vector().

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

SkewSymmetricMatrix3.h

Public Types

Public Member Functions

Static Public Member Functions

Protected Attributes

Detailed Description

template<typename Scalar_> class Eigen::SkewSymmetricMatrix3< Scalar_ >

Member Typedef Documentation

◆ InitializeReturnType

◆ Nested

◆ Scalar

◆ SkewSymmetricVectorType

◆ StorageIndex

◆ StorageKind

Constructor & Destructor Documentation

◆ SkewSymmetricMatrix3() [1/6]

◆ SkewSymmetricMatrix3() [2/6]

◆ SkewSymmetricMatrix3() [3/6]

◆ SkewSymmetricMatrix3() [4/6]

◆ SkewSymmetricMatrix3() [5/6]

◆ SkewSymmetricMatrix3() [6/6]

Member Function Documentation

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ setZero()

◆ vector() [1/2]

◆ vector() [2/2]

◆ Zero()

Member Data Documentation

◆ m_vector

template<typename Scalar_>
class Eigen::SkewSymmetricMatrix3< Scalar_ >