Expression of one (or a set of) homogeneous vector(s) More...

#include <Homogeneous.h>

Inheritance diagram for Eigen::Homogeneous< MatrixType, _Direction >:

Public Types
enum	{ Direction = _Direction }

typedef MatrixType	NestedExpression

typedef MatrixBase< Homogeneous >	Base

Public Types inherited from Eigen::MatrixBase< Homogeneous< MatrixType, _Direction > >
enum

enum

typedef MatrixBase	StorageBaseType

typedef internal::traits< Homogeneous< MatrixType, _Direction > >::StorageKind	StorageKind

typedef internal::traits< Homogeneous< MatrixType, _Direction > >::StorageIndex	StorageIndex

typedef internal::traits< Homogeneous< MatrixType, _Direction > >::Scalar	Scalar

typedef internal::packet_traits< Scalar >::type	PacketScalar

typedef NumTraits< Scalar >::Real	RealScalar

typedef DenseBase< Homogeneous< MatrixType, _Direction > >	Base

typedef Base::CoeffReturnType	CoeffReturnType

typedef Base::ConstTransposeReturnType	ConstTransposeReturnType

typedef Base::RowXpr	RowXpr

typedef Base::ColXpr	ColXpr

typedef Matrix< Scalar, EIGEN_SIZE_MAX(RowsAtCompileTime, ColsAtCompileTime), EIGEN_SIZE_MAX(RowsAtCompileTime, ColsAtCompileTime)>	SquareMatrixType

typedef Base::PlainObject	PlainObject

typedef CwiseNullaryOp< internal::scalar_constant_op< Scalar >, PlainObject >	ConstantReturnType

typedef internal::conditional< NumTraits< Scalar >::IsComplex, CwiseUnaryOp< internal::scalar_conjugate_op< Scalar >, ConstTransposeReturnType >, ConstTransposeReturnType >::type	AdjointReturnType

typedef Matrix< std::complex< RealScalar >, internal::traits< Homogeneous< MatrixType, _Direction > >::ColsAtCompileTime, 1, ColMajor >	EigenvaluesReturnType

typedef CwiseNullaryOp< internal::scalar_identity_op< Scalar >, PlainObject >	IdentityReturnType

typedef Block< const CwiseNullaryOp< internal::scalar_identity_op< Scalar >, SquareMatrixType >, internal::traits< Homogeneous< MatrixType, _Direction > >::RowsAtCompileTime, internal::traits< Homogeneous< MatrixType, _Direction > >::ColsAtCompileTime >	BasisReturnType

typedef Diagonal< Homogeneous< MatrixType, _Direction > >	DiagonalReturnType

typedef internal::add_const< Diagonal< constDerived > >::type	ConstDiagonalReturnType

typedef Diagonal< Homogeneous< MatrixType, _Direction >, DynamicIndex >	DiagonalDynamicIndexReturnType

typedef internal::add_const< Diagonal< constDerived, DynamicIndex > >::type	ConstDiagonalDynamicIndexReturnType

typedef Homogeneous< Homogeneous< MatrixType, _Direction >, HomogeneousReturnTypeDirection >	HomogeneousReturnType

typedef Block< const Homogeneous< MatrixType, _Direction >, internal::traits< Homogeneous< MatrixType, _Direction > >::ColsAtCompileTime==1 ? SizeMinusOne :1, internal::traits< Homogeneous< MatrixType, _Direction > >::ColsAtCompileTime==1 ? 1 :SizeMinusOne >	ConstStartMinusOne

typedef internal::stem_function< Scalar >::type	StemFunction

Public Types inherited from Eigen::DenseBase< Derived >
enum	{ RowsAtCompileTime = internal::traits<Derived>::RowsAtCompileTime , ColsAtCompileTime = internal::traits<Derived>::ColsAtCompileTime , SizeAtCompileTime , MaxRowsAtCompileTime = internal::traits<Derived>::MaxRowsAtCompileTime , MaxColsAtCompileTime = internal::traits<Derived>::MaxColsAtCompileTime , MaxSizeAtCompileTime , IsVectorAtCompileTime , NumDimensions = int(MaxSizeAtCompileTime) == 1 ? 0 : bool(IsVectorAtCompileTime) ? 1 : 2 , Flags = internal::traits<Derived>::Flags , IsRowMajor = int(Flags) & RowMajorBit , InnerSizeAtCompileTime , InnerStrideAtCompileTime = internal::inner_stride_at_compile_time<Derived>::ret , OuterStrideAtCompileTime = internal::outer_stride_at_compile_time<Derived>::ret }

enum	{ IsPlainObjectBase = 0 }

typedef Eigen::InnerIterator< Derived >	InnerIterator

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

typedef internal::traits< Derived >::StorageIndex	StorageIndex
	The type used to store indices.

typedef internal::traits< Derived >::Scalar	Scalar

typedef Scalar	value_type

typedef NumTraits< Scalar >::Real	RealScalar

typedef DenseCoeffsBase< Derived, internal::accessors_level< Derived >::value >	Base

typedef Base::CoeffReturnType	CoeffReturnType

typedef internal::find_best_packet< Scalar, SizeAtCompileTime >::type	PacketScalar

typedef Matrix< typename internal::traits< Derived >::Scalar, internal::traits< Derived >::RowsAtCompileTime, internal::traits< Derived >::ColsAtCompileTime, AutoAlign\|(internal::traits< Derived >::Flags &RowMajorBit ? RowMajor :ColMajor), internal::traits< Derived >::MaxRowsAtCompileTime, internal::traits< Derived >::MaxColsAtCompileTime >	PlainMatrix

typedef Array< typename internal::traits< Derived >::Scalar, internal::traits< Derived >::RowsAtCompileTime, internal::traits< Derived >::ColsAtCompileTime, AutoAlign\|(internal::traits< Derived >::Flags &RowMajorBit ? RowMajor :ColMajor), internal::traits< Derived >::MaxRowsAtCompileTime, internal::traits< Derived >::MaxColsAtCompileTime >	PlainArray

typedef internal::conditional< internal::is_same< typenameinternal::traits< Derived >::XprKind, MatrixXpr >::value, PlainMatrix, PlainArray >::type	PlainObject
	The plain matrix or array type corresponding to this expression.

typedef CwiseNullaryOp< internal::scalar_constant_op< Scalar >, PlainObject >	ConstantReturnType

typedef CwiseNullaryOp< internal::linspaced_op< Scalar >, PlainObject >	RandomAccessLinSpacedReturnType

typedef Matrix< typename NumTraits< typename internal::traits< Derived >::Scalar >::Real, internal::traits< Derived >::ColsAtCompileTime, 1 >	EigenvaluesReturnType

typedef Transpose< Derived >	TransposeReturnType

typedef internal::add_const< Transpose< constDerived > >::type	ConstTransposeReturnType

typedef internal::add_const_on_value_type< typenameinternal::eval< Derived >::type >::type	EvalReturnType

typedef VectorwiseOp< Derived, Horizontal >	RowwiseReturnType

typedef const VectorwiseOp< const Derived, Horizontal >	ConstRowwiseReturnType

typedef VectorwiseOp< Derived, Vertical >	ColwiseReturnType

typedef const VectorwiseOp< const Derived, Vertical >	ConstColwiseReturnType

typedef CwiseNullaryOp< internal::scalar_random_op< Scalar >, PlainObject >	RandomReturnType

typedef Reverse< Derived, BothDirections >	ReverseReturnType

typedef const Reverse< const Derived, BothDirections >	ConstReverseReturnType

typedef internal::conditional<(Flags &DirectAccessBit)==DirectAccessBit, internal::pointer_based_stl_iterator< Derived >, internal::generic_randaccess_stl_iterator< Derived > >::type	iterator_type

typedef internal::conditional<(Flags &DirectAccessBit)==DirectAccessBit, internal::pointer_based_stl_iterator< constDerived >, internal::generic_randaccess_stl_iterator< constDerived > >::type	const_iterator_type

typedef internal::conditional< IsVectorAtCompileTime, iterator_type, void >::type	iterator

typedef internal::conditional< IsVectorAtCompileTime, const_iterator_type, void >::type	const_iterator

Public Member Functions
EIGEN_DEVICE_FUNC	Homogeneous (const MatrixType &matrix)

EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index	rows () const EIGEN_NOEXCEPT

EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index	cols () const EIGEN_NOEXCEPT

EIGEN_DEVICE_FUNC const NestedExpression &	nestedExpression () const

template<typename Rhs >
EIGEN_DEVICE_FUNC const Product< Homogeneous, Rhs >	operator* (const MatrixBase< Rhs > &rhs) const

template<typename Func >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE internal::result_of< Func(Scalar, Scalar)>::type	redux (const Func &func) const

Public Member Functions inherited from Eigen::MatrixBase< Homogeneous< MatrixType, _Direction > >
EIGEN_DEVICE_FUNC Index	diagonalSize () const

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Homogeneous< MatrixType, _Direction > &	operator= (const MatrixBase &other)

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Homogeneous< MatrixType, _Direction > &	operator= (const DenseBase< OtherDerived > &other)

EIGEN_DEVICE_FUNC Homogeneous< MatrixType, _Direction > &	operator= (const EigenBase< OtherDerived > &other)

EIGEN_DEVICE_FUNC Homogeneous< MatrixType, _Direction > &	operator= (const ReturnByValue< OtherDerived > &other)

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Homogeneous< MatrixType, _Direction > &	operator= (const EigenBase< OtherDerived > &other)

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Homogeneous< MatrixType, _Direction > &	operator= (const ReturnByValue< OtherDerived > &other)

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Homogeneous< MatrixType, _Direction > &	operator+= (const MatrixBase< OtherDerived > &other)

EIGEN_DEVICE_FUNC Homogeneous< MatrixType, _Direction > &	operator+= (const EigenBase< OtherDerived > &other)

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Homogeneous< MatrixType, _Direction > &	operator-= (const MatrixBase< OtherDerived > &other)

EIGEN_DEVICE_FUNC Homogeneous< MatrixType, _Direction > &	operator-= (const EigenBase< OtherDerived > &other)

EIGEN_DEVICE_FUNC const Product< Homogeneous< MatrixType, _Direction >, OtherDerived >	operator* (const MatrixBase< OtherDerived > &other) const

EIGEN_DEVICE_FUNC const Product< Homogeneous< MatrixType, _Direction >, DiagonalDerived, LazyProduct >	operator* (const DiagonalBase< DiagonalDerived > &diagonal) const

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Product< Homogeneous< MatrixType, _Direction >, OtherDerived >	operator* (const MatrixBase< OtherDerived > &other) const

EIGEN_DEVICE_FUNC const Product< Homogeneous< MatrixType, _Direction >, OtherDerived, LazyProduct >	lazyProduct (const MatrixBase< OtherDerived > &other) const

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Product< Homogeneous< MatrixType, _Direction >, OtherDerived, LazyProduct >	lazyProduct (const MatrixBase< OtherDerived > &other) const

Homogeneous< MatrixType, _Direction > &	operator*= (const EigenBase< OtherDerived > &other)

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Homogeneous< MatrixType, _Direction > &	operator*= (const Scalar &other)

void	applyOnTheLeft (const EigenBase< OtherDerived > &other)

EIGEN_DEVICE_FUNC void	applyOnTheLeft (Index p, Index q, const JacobiRotation< OtherScalar > &j)

void	applyOnTheRight (const EigenBase< OtherDerived > &other)

EIGEN_DEVICE_FUNC void	applyOnTheRight (Index p, Index q, const JacobiRotation< OtherScalar > &j)

EIGEN_DEVICE_FUNC ScalarBinaryOpTraits< typenameinternal::traits< Homogeneous< MatrixType, _Direction > >::Scalar, typenameinternal::traits< OtherDerived >::Scalar >::ReturnType	dot (const MatrixBase< OtherDerived > &other) const

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE ScalarBinaryOpTraits< typenameinternal::traits< Homogeneous< MatrixType, _Direction > >::Scalar, typenameinternal::traits< OtherDerived >::Scalar >::ReturnType	dot (const MatrixBase< OtherDerived > &other) const

EIGEN_DEVICE_FUNC RealScalar	squaredNorm () const

EIGEN_DEVICE_FUNC RealScalar	norm () const

RealScalar	stableNorm () const

RealScalar	blueNorm () const

RealScalar	hypotNorm () const

EIGEN_DEVICE_FUNC const PlainObject	normalized () const

EIGEN_DEVICE_FUNC const PlainObject	stableNormalized () const

EIGEN_DEVICE_FUNC void	normalize ()

EIGEN_DEVICE_FUNC void	stableNormalize ()

EIGEN_DEVICE_FUNC const AdjointReturnType	adjoint () const

EIGEN_DEVICE_FUNC void	adjointInPlace ()

EIGEN_DEVICE_FUNC DiagonalReturnType	diagonal ()

EIGEN_DEVICE_FUNC ConstDiagonalReturnType	diagonal () const

EIGEN_DEVICE_FUNC DiagonalIndexReturnType< Index >::Type	diagonal ()

EIGEN_DEVICE_FUNC ConstDiagonalIndexReturnType< Index >::Type	diagonal () const

EIGEN_DEVICE_FUNC DiagonalDynamicIndexReturnType	diagonal (Index index)

EIGEN_DEVICE_FUNC ConstDiagonalDynamicIndexReturnType	diagonal (Index index) const

EIGEN_DEVICE_FUNC MatrixBase< Homogeneous< MatrixType, _Direction > >::template DiagonalIndexReturnType< Index_ >::Type	diagonal ()

EIGEN_DEVICE_FUNC MatrixBase< Homogeneous< MatrixType, _Direction > >::template ConstDiagonalIndexReturnType< Index_ >::Type	diagonal () const

EIGEN_DEVICE_FUNC TriangularViewReturnType< Mode >::Type	triangularView ()

EIGEN_DEVICE_FUNC ConstTriangularViewReturnType< Mode >::Type	triangularView () const

EIGEN_DEVICE_FUNC MatrixBase< Homogeneous< MatrixType, _Direction > >::template TriangularViewReturnType< Mode >::Type	triangularView ()

EIGEN_DEVICE_FUNC MatrixBase< Homogeneous< MatrixType, _Direction > >::template ConstTriangularViewReturnType< Mode >::Type	triangularView () const

EIGEN_DEVICE_FUNC SelfAdjointViewReturnType< UpLo >::Type	selfadjointView ()

EIGEN_DEVICE_FUNC ConstSelfAdjointViewReturnType< UpLo >::Type	selfadjointView () const

EIGEN_DEVICE_FUNC MatrixBase< Homogeneous< MatrixType, _Direction > >::template ConstSelfAdjointViewReturnType< UpLo >::Type	selfadjointView () const

EIGEN_DEVICE_FUNC MatrixBase< Homogeneous< MatrixType, _Direction > >::template SelfAdjointViewReturnType< UpLo >::Type	selfadjointView ()

const SparseView< Homogeneous< MatrixType, _Direction > >	sparseView (const Scalar &m_reference=Scalar(0), const typename NumTraits< Scalar >::Real &m_epsilon=NumTraits< Scalar >::dummy_precision()) const

EIGEN_DEVICE_FUNC const DiagonalWrapper< const Homogeneous< MatrixType, _Direction > >	asDiagonal () const

const PermutationWrapper< const Homogeneous< MatrixType, _Direction > >	asPermutation () const

EIGEN_DEVICE_FUNC Homogeneous< MatrixType, _Direction > &	setIdentity ()

EIGEN_DEVICE_FUNC Homogeneous< MatrixType, _Direction > &	setIdentity (Index rows, Index cols)
	Resizes to the given size, and writes the identity expression (not necessarily square) into *this.

EIGEN_DEVICE_FUNC Homogeneous< MatrixType, _Direction > &	setUnit (Index i)
	Set the coefficients of `*this` to the i-th unit (basis) vector.

EIGEN_DEVICE_FUNC Homogeneous< MatrixType, _Direction > &	setUnit (Index newSize, Index i)
	Resizes to the given newSize, and writes the i-th unit (basis) vector into *this.

bool	isIdentity (const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const

bool	isDiagonal (const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const

bool	isUpperTriangular (const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const

bool	isLowerTriangular (const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const

bool	isOrthogonal (const MatrixBase< OtherDerived > &other, const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const

bool	isUnitary (const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const

EIGEN_DEVICE_FUNC bool	operator== (const MatrixBase< OtherDerived > &other) const

EIGEN_DEVICE_FUNC bool	operator!= (const MatrixBase< OtherDerived > &other) const

NoAlias< Homogeneous< MatrixType, _Direction >, Eigen::MatrixBase > EIGEN_DEVICE_FUNC	noalias ()

const Homogeneous< MatrixType, _Direction > &	forceAlignedAccess () const

Homogeneous< MatrixType, _Direction > &	forceAlignedAccess ()

const Homogeneous< MatrixType, _Direction > &	forceAlignedAccessIf () const

Homogeneous< MatrixType, _Direction > &	forceAlignedAccessIf ()

internal::add_const_on_value_type< typenameinternal::conditional< Enable, ForceAlignedAccess< Homogeneous< MatrixType, _Direction > >, Homogeneous< MatrixType, _Direction > & >::type >::type	forceAlignedAccessIf () const

internal::conditional< Enable, ForceAlignedAccess< Homogeneous< MatrixType, _Direction > >, Homogeneous< MatrixType, _Direction > & >::type	forceAlignedAccessIf ()

EIGEN_DEVICE_FUNC Scalar	trace () const

EIGEN_DEVICE_FUNC RealScalar	lpNorm () const

EIGEN_DEVICE_FUNC NumTraits< typenameinternal::traits< Homogeneous< MatrixType, _Direction > >::Scalar >::Real	lpNorm () const

EIGEN_DEVICE_FUNC MatrixBase< Homogeneous< MatrixType, _Direction > > &	matrix ()

EIGEN_DEVICE_FUNC const MatrixBase< Homogeneous< MatrixType, _Direction > > &	matrix () const

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE ArrayWrapper< Homogeneous< MatrixType, _Direction > >	array ()

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const ArrayWrapper< const Homogeneous< MatrixType, _Direction > >	array () const

const FullPivLU< PlainObject >	fullPivLu () const

const PartialPivLU< PlainObject >	partialPivLu () const

const PartialPivLU< PlainObject >	lu () const

EIGEN_DEVICE_FUNC const Inverse< Homogeneous< MatrixType, _Direction > >	inverse () const

void	computeInverseAndDetWithCheck (ResultType &inverse, typename ResultType::Scalar &determinant, bool &invertible, const RealScalar &absDeterminantThreshold=NumTraits< Scalar >::dummy_precision()) const

void	computeInverseWithCheck (ResultType &inverse, bool &invertible, const RealScalar &absDeterminantThreshold=NumTraits< Scalar >::dummy_precision()) const

EIGEN_DEVICE_FUNC Scalar	determinant () const

const LLT< PlainObject >	llt () const

const LDLT< PlainObject >	ldlt () const

const HouseholderQR< PlainObject >	householderQr () const

const ColPivHouseholderQR< PlainObject >	colPivHouseholderQr () const

const FullPivHouseholderQR< PlainObject >	fullPivHouseholderQr () const

const CompleteOrthogonalDecomposition< PlainObject >	completeOrthogonalDecomposition () const

EigenvaluesReturnType	eigenvalues () const
	Computes the eigenvalues of a matrix.

RealScalar	operatorNorm () const
	Computes the L2 operator norm.

JacobiSVD< PlainObject >	jacobiSvd (unsigned int computationOptions=0) const

BDCSVD< PlainObject >	bdcSvd (unsigned int computationOptions=0) const

EIGEN_DEVICE_FUNC cross_product_return_type< OtherDerived >::type	cross (const MatrixBase< OtherDerived > &other) const

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE MatrixBase< Homogeneous< MatrixType, _Direction > >::template cross_product_return_type< OtherDerived >::type	cross (const MatrixBase< OtherDerived > &other) const

EIGEN_DEVICE_FUNC PlainObject	cross3 (const MatrixBase< OtherDerived > &other) const

EIGEN_DEVICE_FUNC PlainObject	unitOrthogonal (void) const

EIGEN_DEVICE_FUNC Matrix< Scalar, 3, 1 >	eulerAngles (Index a0, Index a1, Index a2) const

EIGEN_DEVICE_FUNC HomogeneousReturnType	homogeneous () const

typedef	EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE (ConstStartMinusOne, Scalar, quotient) HNormalizedReturnType

EIGEN_DEVICE_FUNC const HNormalizedReturnType	hnormalized () const
	homogeneous normalization

EIGEN_DEVICE_FUNC void	makeHouseholderInPlace (Scalar &tau, RealScalar &beta)

EIGEN_DEVICE_FUNC void	makeHouseholder (EssentialPart &essential, Scalar &tau, RealScalar &beta) const

EIGEN_DEVICE_FUNC void	applyHouseholderOnTheLeft (const EssentialPart &essential, const Scalar &tau, Scalar *workspace)

EIGEN_DEVICE_FUNC void	applyHouseholderOnTheRight (const EssentialPart &essential, const Scalar &tau, Scalar *workspace)

EIGEN_STRONG_INLINE const SparseMatrixBase< OtherDerived >::template CwiseProductDenseReturnType< Homogeneous< MatrixType, _Direction > >::Type	cwiseProduct (const SparseMatrixBase< OtherDerived > &other) const

const MatrixFunctionReturnValue< Homogeneous< MatrixType, _Direction > >	matrixFunction (StemFunction f) const
	Helper function for the unsupported MatrixFunctions module.

EIGEN_DEPRECATED EIGEN_DEVICE_FUNC Homogeneous< MatrixType, _Direction > &	lazyAssign (const DenseBase< OtherDerived > &other)

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Homogeneous< MatrixType, _Direction > &	lazyAssign (const DenseBase< OtherDerived > &other)

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EvalReturnType	eval () const

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Homogeneous< MatrixType, _Direction > &	operator/= (const Scalar &other)

Public Member Functions inherited from Eigen::DenseBase< Derived >
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index	nonZeros () const

EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index	outerSize () const

EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index	innerSize () const

EIGEN_DEVICE_FUNC void	resize (Index newSize)

EIGEN_DEVICE_FUNC void	resize (Index rows, Index cols)

template<typename OtherDerived >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived &	operator= (const DenseBase< OtherDerived > &other)

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived &	operator= (const DenseBase &other)

template<typename OtherDerived >
EIGEN_DEVICE_FUNC Derived &	operator= (const EigenBase< OtherDerived > &other)
	Copies the generic expression other into *this.

template<typename OtherDerived >
EIGEN_DEVICE_FUNC Derived &	operator+= (const EigenBase< OtherDerived > &other)

template<typename OtherDerived >
EIGEN_DEVICE_FUNC Derived &	operator-= (const EigenBase< OtherDerived > &other)

template<typename OtherDerived >
EIGEN_DEVICE_FUNC Derived &	operator= (const ReturnByValue< OtherDerived > &func)

template<typename OtherDerived >
EIGEN_DEPRECATED EIGEN_DEVICE_FUNC Derived &	lazyAssign (const DenseBase< OtherDerived > &other)

EIGEN_DEVICE_FUNC CommaInitializer< Derived >	operator<< (const Scalar &s)

template<unsigned int Added, unsigned int Removed>
EIGEN_DEPRECATED const Derived &	flagged () const

template<typename OtherDerived >
EIGEN_DEVICE_FUNC CommaInitializer< Derived >	operator<< (const DenseBase< OtherDerived > &other)

EIGEN_DEVICE_FUNC TransposeReturnType	transpose ()

EIGEN_DEVICE_FUNC ConstTransposeReturnType	transpose () const

EIGEN_DEVICE_FUNC void	transposeInPlace ()

EIGEN_DEVICE_FUNC void	fill (const Scalar &value)

EIGEN_DEVICE_FUNC Derived &	setConstant (const Scalar &value)

EIGEN_DEVICE_FUNC Derived &	setLinSpaced (Index size, const Scalar &low, const Scalar &high)
	Sets a linearly spaced vector.

EIGEN_DEVICE_FUNC Derived &	setLinSpaced (const Scalar &low, const Scalar &high)
	Sets a linearly spaced vector.

EIGEN_DEVICE_FUNC Derived &	setZero ()

EIGEN_DEVICE_FUNC Derived &	setOnes ()

EIGEN_DEVICE_FUNC Derived &	setRandom ()

template<typename OtherDerived >
EIGEN_DEVICE_FUNC bool	isApprox (const DenseBase< OtherDerived > &other, const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const

EIGEN_DEVICE_FUNC bool	isMuchSmallerThan (const RealScalar &other, const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const

template<typename OtherDerived >
EIGEN_DEVICE_FUNC bool	isMuchSmallerThan (const DenseBase< OtherDerived > &other, const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const

EIGEN_DEVICE_FUNC bool	isApproxToConstant (const Scalar &value, const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const

EIGEN_DEVICE_FUNC bool	isConstant (const Scalar &value, const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const

EIGEN_DEVICE_FUNC bool	isZero (const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const

EIGEN_DEVICE_FUNC bool	isOnes (const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const

bool	hasNaN () const

bool	allFinite () const

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived &	operator*= (const Scalar &other)

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived &	operator/= (const Scalar &other)

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EvalReturnType	eval () const

template<typename OtherDerived >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void	swap (const DenseBase< OtherDerived > &other)

template<typename OtherDerived >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void	swap (PlainObjectBase< OtherDerived > &other)

EIGEN_DEVICE_FUNC const NestByValue< Derived >	nestByValue () const

EIGEN_DEVICE_FUNC const ForceAlignedAccess< Derived >	forceAlignedAccess () const

EIGEN_DEVICE_FUNC ForceAlignedAccess< Derived >	forceAlignedAccess ()

template<bool Enable>
EIGEN_DEVICE_FUNC const internal::conditional< Enable, ForceAlignedAccess< Derived >, Derived & >::type	forceAlignedAccessIf () const

template<bool Enable>
EIGEN_DEVICE_FUNC internal::conditional< Enable, ForceAlignedAccess< Derived >, Derived & >::type	forceAlignedAccessIf ()

EIGEN_DEVICE_FUNC Scalar	sum () const

EIGEN_DEVICE_FUNC Scalar	mean () const

EIGEN_DEVICE_FUNC Scalar	trace () const

EIGEN_DEVICE_FUNC Scalar	prod () const

template<int NaNPropagation>
EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar	minCoeff () const

template<int NaNPropagation>
EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar	maxCoeff () const

EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar	minCoeff () const

EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar	maxCoeff () const

template<int NaNPropagation, typename IndexType >
EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar	minCoeff (IndexType row, IndexType col) const

template<int NaNPropagation, typename IndexType >
EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar	maxCoeff (IndexType row, IndexType col) const

template<int NaNPropagation, typename IndexType >
EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar	minCoeff (IndexType *index) const

template<int NaNPropagation, typename IndexType >
EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar	maxCoeff (IndexType *index) const

template<typename IndexType >
EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar	minCoeff (IndexType row, IndexType col) const

template<typename IndexType >
EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar	maxCoeff (IndexType row, IndexType col) const

template<typename IndexType >
EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar	minCoeff (IndexType *index) const

template<typename IndexType >
EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar	maxCoeff (IndexType *index) const

template<typename BinaryOp >
EIGEN_DEVICE_FUNC Scalar	redux (const BinaryOp &func) const

template<typename Visitor >
EIGEN_DEVICE_FUNC void	visit (Visitor &func) const

const WithFormat< Derived >	format (const IOFormat &fmt) const

EIGEN_DEVICE_FUNC CoeffReturnType	value () const

EIGEN_DEVICE_FUNC bool	all () const

EIGEN_DEVICE_FUNC bool	any () const

EIGEN_DEVICE_FUNC Index	count () const

EIGEN_DEVICE_FUNC ConstRowwiseReturnType	rowwise () const

EIGEN_DEVICE_FUNC RowwiseReturnType	rowwise ()

EIGEN_DEVICE_FUNC ConstColwiseReturnType	colwise () const

EIGEN_DEVICE_FUNC ColwiseReturnType	colwise ()

template<typename ThenDerived , typename ElseDerived >
EIGEN_DEVICE_FUNC const Select< Derived, ThenDerived, ElseDerived >	select (const DenseBase< ThenDerived > &thenMatrix, const DenseBase< ElseDerived > &elseMatrix) const

template<typename ThenDerived >
EIGEN_DEVICE_FUNC const Select< Derived, ThenDerived, typename ThenDerived::ConstantReturnType >	select (const DenseBase< ThenDerived > &thenMatrix, const typename ThenDerived::Scalar &elseScalar) const

template<typename ElseDerived >
EIGEN_DEVICE_FUNC const Select< Derived, typename ElseDerived::ConstantReturnType, ElseDerived >	select (const typename ElseDerived::Scalar &thenScalar, const DenseBase< ElseDerived > &elseMatrix) const

template<int p>
RealScalar	lpNorm () const

template<int RowFactor, int ColFactor>
EIGEN_DEVICE_FUNC const Replicate< Derived, RowFactor, ColFactor >	replicate () const

EIGEN_DEVICE_FUNC const Replicate< Derived, Dynamic, Dynamic >	replicate (Index rowFactor, Index colFactor) const

EIGEN_DEVICE_FUNC ReverseReturnType	reverse ()

EIGEN_DEVICE_FUNC ConstReverseReturnType	reverse () const

EIGEN_DEVICE_FUNC void	reverseInPlace ()

iterator	begin ()

const_iterator	begin () const

const_iterator	cbegin () const

iterator	end ()

const_iterator	end () const

const_iterator	cend () const

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

template<typename OtherDerived >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived &	lazyAssign (const DenseBase< OtherDerived > &other)

template<typename CustomNullaryOp >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseNullaryOp< CustomNullaryOp, typename DenseBase< Derived >::PlainObject >	NullaryExpr (Index rows, Index cols, const CustomNullaryOp &func)

template<typename CustomNullaryOp >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseNullaryOp< CustomNullaryOp, typename DenseBase< Derived >::PlainObject >	NullaryExpr (Index size, const CustomNullaryOp &func)

template<typename CustomNullaryOp >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseNullaryOp< CustomNullaryOp, typename DenseBase< Derived >::PlainObject >	NullaryExpr (const CustomNullaryOp &func)

template<typename Derived >
EIGEN_DEVICE_FUNC bool	isMuchSmallerThan (const typename NumTraits< Scalar >::Real &other, const RealScalar &prec) const

template<typename Func >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE internal::traits< Derived >::Scalar	redux (const Func &func) const

template<int NaNPropagation>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE internal::traits< Derived >::Scalar	minCoeff () const

template<int NaNPropagation>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE internal::traits< Derived >::Scalar	maxCoeff () const

Protected Attributes
MatrixType::Nested	m_matrix

Friends
template<typename Lhs >
EIGEN_DEVICE_FUNC const Product< Lhs, Homogeneous >	operator* (const MatrixBase< Lhs > &lhs, const Homogeneous &rhs)

template<typename Scalar , int Dim, int Mode, int Options>
EIGEN_DEVICE_FUNC const Product< Transform< Scalar, Dim, Mode, Options >, Homogeneous >	operator* (const Transform< Scalar, Dim, Mode, Options > &lhs, const Homogeneous &rhs)

Additional Inherited Members
Static Public Member Functions inherited from Eigen::MatrixBase< Homogeneous< MatrixType, _Direction > >
static EIGEN_DEVICE_FUNC const IdentityReturnType	Identity ()

static EIGEN_DEVICE_FUNC const IdentityReturnType	Identity (Index rows, Index cols)

static EIGEN_DEVICE_FUNC const BasisReturnType	Unit (Index size, Index i)

static EIGEN_DEVICE_FUNC const BasisReturnType	Unit (Index i)

static EIGEN_DEVICE_FUNC const BasisReturnType	UnitX ()

static EIGEN_DEVICE_FUNC const BasisReturnType	UnitY ()

static EIGEN_DEVICE_FUNC const BasisReturnType	UnitZ ()

static EIGEN_DEVICE_FUNC const BasisReturnType	UnitW ()

Static Public Member Functions inherited from Eigen::DenseBase< Derived >
static EIGEN_DEVICE_FUNC const ConstantReturnType	Constant (Index rows, Index cols, const Scalar &value)

static EIGEN_DEVICE_FUNC const ConstantReturnType	Constant (Index size, const Scalar &value)

static EIGEN_DEVICE_FUNC const ConstantReturnType	Constant (const Scalar &value)

EIGEN_DEPRECATED static EIGEN_DEVICE_FUNC const RandomAccessLinSpacedReturnType	LinSpaced (Sequential_t, Index size, const Scalar &low, const Scalar &high)

EIGEN_DEPRECATED static EIGEN_DEVICE_FUNC const RandomAccessLinSpacedReturnType	LinSpaced (Sequential_t, const Scalar &low, const Scalar &high)

static EIGEN_DEVICE_FUNC const RandomAccessLinSpacedReturnType	LinSpaced (Index size, const Scalar &low, const Scalar &high)
	Sets a linearly spaced vector.

static EIGEN_DEVICE_FUNC const RandomAccessLinSpacedReturnType	LinSpaced (const Scalar &low, const Scalar &high)
	Sets a linearly spaced vector.

template<typename CustomNullaryOp >
static EIGEN_DEVICE_FUNC const CwiseNullaryOp< CustomNullaryOp, PlainObject >	NullaryExpr (Index rows, Index cols, const CustomNullaryOp &func)

template<typename CustomNullaryOp >
static EIGEN_DEVICE_FUNC const CwiseNullaryOp< CustomNullaryOp, PlainObject >	NullaryExpr (Index size, const CustomNullaryOp &func)

template<typename CustomNullaryOp >
static EIGEN_DEVICE_FUNC const CwiseNullaryOp< CustomNullaryOp, PlainObject >	NullaryExpr (const CustomNullaryOp &func)

static EIGEN_DEVICE_FUNC const ConstantReturnType	Zero (Index rows, Index cols)

static EIGEN_DEVICE_FUNC const ConstantReturnType	Zero (Index size)

static EIGEN_DEVICE_FUNC const ConstantReturnType	Zero ()

static EIGEN_DEVICE_FUNC const ConstantReturnType	Ones (Index rows, Index cols)

static EIGEN_DEVICE_FUNC const ConstantReturnType	Ones (Index size)

static EIGEN_DEVICE_FUNC const ConstantReturnType	Ones ()

static const RandomReturnType	Random (Index rows, Index cols)

static const RandomReturnType	Random (Index size)

static const RandomReturnType	Random ()

Public Attributes inherited from Eigen::DenseBase< Derived >
EIGEN_DEPRECATED typedef CwiseNullaryOp< internal::linspaced_op< Scalar >, PlainObject >	SequentialLinSpacedReturnType

Protected Member Functions inherited from Eigen::MatrixBase< Homogeneous< MatrixType, _Direction > >
Homogeneous< MatrixType, _Direction > &	operator+= (const ArrayBase< OtherDerived > &)

Homogeneous< MatrixType, _Direction > &	operator-= (const ArrayBase< OtherDerived > &)

Protected Member Functions inherited from Eigen::DenseBase< Derived >
EIGEN_DEVICE_FUNC	DenseBase ()

Related Symbols inherited from Eigen::DenseBase< Derived >
template<typename Derived >
std::ostream &	operator<< (std::ostream &s, const DenseBase< Derived > &m)

Detailed Description

template<typename MatrixType, int _Direction>
class Eigen::Homogeneous< MatrixType, _Direction >

Expression of one (or a set of) homogeneous vector(s)

\geometry_module

Parameters

MatrixType the type of the object in which we are making homogeneous

This class represents an expression of one (or a set of) homogeneous vector(s). It is the return type of MatrixBase::homogeneous() and most of the time this is the only way it is used.

See also: MatrixBase::homogeneous()