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Eigen::VectorwiseOp< ExpressionType, Direction > Class Template Reference

Pseudo expression providing partial reduction operations. More...

#include <ForwardDeclarations.h>

Classes

struct  ExtendedType
 
struct  LpNormReturnType
 
struct  OppositeExtendedType
 
struct  ReduxReturnType
 
struct  ReturnType
 

Public Types

enum  { isVertical = (Direction==Vertical) ? 1 : 0, isHorizontal = (Direction==Horizontal) ? 1 : 0 }
 
enum  { HNormalized_Size, HNormalized_SizeMinusOne = HNormalized_Size==Dynamic ? Dynamic : HNormalized_Size-1 }
 
typedef ReturnType< internal::member_all >::Type AllReturnType
 
typedef ReturnType< internal::member_any >::Type AnyReturnType
 
typedef ReturnType< internal::member_blueNorm, RealScalar >::Type BlueNormReturnType
 
typedef Reverse< const ExpressionType, Direction > ConstReverseReturnType
 
typedef PartialReduxExpr< ExpressionType, internal::member_count< Index >, Direction > CountReturnType
 
typedef ExpressionType::PlainObject CrossReturnType
 
typedef internal::ref_selector< ExpressionType >::non_const_type ExpressionTypeNested
 
typedef internal::remove_all< ExpressionTypeNested >::type ExpressionTypeNestedCleaned
 
typedef Block< const ExpressionType, Direction==Vertical?int(HNormalized_SizeMinusOne):int(internal::traits< ExpressionType >::RowsAtCompileTime), Direction==Horizontal?int(HNormalized_SizeMinusOne):int(internal::traits< ExpressionType >::ColsAtCompileTime)> HNormalized_Block
 
typedef Block< const ExpressionType, Direction==Vertical?1:int(internal::traits< ExpressionType >::RowsAtCompileTime), Direction==Horizontal?1:int(internal::traits< ExpressionType >::ColsAtCompileTime)> HNormalized_Factors
 
typedef CwiseBinaryOp< internal::scalar_quotient_op< typename internal::traits< ExpressionType >::Scalar >, const HNormalized_Block, const Replicate< HNormalized_Factors, Direction==Vertical?HNormalized_SizeMinusOne:1, Direction==Horizontal?HNormalized_SizeMinusOne:1 > > HNormalizedReturnType
 
typedef Homogeneous< ExpressionType, Direction > HomogeneousReturnType
 
typedef ReturnType< internal::member_hypotNorm, RealScalar >::Type HypotNormReturnType
 
typedef Eigen::Index Index
 
typedef ReturnType< internal::member_maxCoeff >::Type MaxCoeffReturnType
 
typedef ReturnType< internal::member_mean >::Type MeanReturnType
 
typedef ReturnType< internal::member_minCoeff >::Type MinCoeffReturnType
 
typedef ReturnType< internal::member_norm, RealScalar >::Type NormReturnType
 
typedef ReturnType< internal::member_prod >::Type ProdReturnType
 
typedef ExpressionType::RealScalar RealScalar
 
typedef Replicate< ExpressionType,(isVertical?Dynamic:1),(isHorizontal?Dynamic:1)> ReplicateReturnType
 
typedef Reverse< ExpressionType, Direction > ReverseReturnType
 
typedef ExpressionType::Scalar Scalar
 
typedef ReturnType< internal::member_squaredNorm, RealScalar >::Type SquaredNormReturnType
 
typedef ReturnType< internal::member_stableNorm, RealScalar >::Type StableNormReturnType
 
typedef ReturnType< internal::member_sum >::Type SumReturnType
 

Public Member Functions

EIGEN_DEVICE_FUNC const ExpressionType & _expression () const
 
EIGEN_DEVICE_FUNC const AllReturnType all () const
 
EIGEN_DEVICE_FUNC const AnyReturnType any () const
 
EIGEN_DEVICE_FUNC const BlueNormReturnType blueNorm () const
 
EIGEN_DEVICE_FUNC const CountReturnType count () const
 
template<typename OtherDerived >
EIGEN_DEVICE_FUNC const CrossReturnType cross (const MatrixBase< OtherDerived > &other) const
 
EIGEN_DEVICE_FUNC const HNormalizedReturnType hnormalized () const
 column or row-wise homogeneous normalization More...
 
EIGEN_DEVICE_FUNC HomogeneousReturnType homogeneous () const
 
EIGEN_DEVICE_FUNC const HypotNormReturnType hypotNorm () const
 
template<int p>
EIGEN_DEVICE_FUNC const LpNormReturnType< p >::Type lpNorm () const
 
EIGEN_DEVICE_FUNC const MaxCoeffReturnType maxCoeff () const
 
EIGEN_DEVICE_FUNC const MeanReturnType mean () const
 
EIGEN_DEVICE_FUNC const MinCoeffReturnType minCoeff () const
 
EIGEN_DEVICE_FUNC const NormReturnType norm () const
 
EIGEN_DEVICE_FUNC void normalize ()
 
EIGEN_DEVICE_FUNC CwiseBinaryOp< internal::scalar_quotient_op< Scalar >, const ExpressionTypeNestedCleaned, const typename OppositeExtendedType< typename ReturnType< internal::member_norm, RealScalar >::Type >::Type > normalized () const
 
template<typename OtherDerived >
EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC CwiseBinaryOp< internal::scalar_product_op< Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > EIGEN_DEVICE_FUNC operator* (const DenseBase< OtherDerived > &other) const
 
template<typename OtherDerived >
EIGEN_DEVICE_FUNC ExpressionType & operator*= (const DenseBase< OtherDerived > &other)
 
template<typename OtherDerived >
EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC CwiseBinaryOp< internal::scalar_sum_op< Scalar, typename OtherDerived::Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > operator+ (const DenseBase< OtherDerived > &other) const
 
template<typename OtherDerived >
EIGEN_DEVICE_FUNC ExpressionType & operator+= (const DenseBase< OtherDerived > &other)
 
template<typename OtherDerived >
EIGEN_DEVICE_FUNC CwiseBinaryOp< internal::scalar_difference_op< Scalar, typename OtherDerived::Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > operator- (const DenseBase< OtherDerived > &other) const
 
template<typename OtherDerived >
EIGEN_DEVICE_FUNC ExpressionType & operator-= (const DenseBase< OtherDerived > &other)
 
template<typename OtherDerived >
EIGEN_DEVICE_FUNC CwiseBinaryOp< internal::scalar_quotient_op< Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > operator/ (const DenseBase< OtherDerived > &other) const
 
template<typename OtherDerived >
EIGEN_DEVICE_FUNC ExpressionType & operator/= (const DenseBase< OtherDerived > &other)
 
template<typename OtherDerived >
EIGEN_DEVICE_FUNC ExpressionType & operator= (const DenseBase< OtherDerived > &other)
 
EIGEN_DEVICE_FUNC const ProdReturnType prod () const
 
template<typename BinaryOp >
EIGEN_DEVICE_FUNC const ReduxReturnType< BinaryOp >::Type redux (const BinaryOp &func=BinaryOp()) const
 
EIGEN_DEVICE_FUNC const ReplicateReturnType replicate (Index factor) const
 
template<int Factor>
const Replicate< ExpressionType, isVertical *Factor+isHorizontal, isHorizontal *Factor+isVertical > EIGEN_DEVICE_FUNC replicate (Index factor=Factor) const
 
EIGEN_DEVICE_FUNC const ConstReverseReturnType reverse () const
 
EIGEN_DEVICE_FUNC ReverseReturnType reverse ()
 
EIGEN_DEVICE_FUNC void reverseInPlace ()
 
EIGEN_DEVICE_FUNC const SquaredNormReturnType squaredNorm () const
 
EIGEN_DEVICE_FUNC const StableNormReturnType stableNorm () const
 
EIGEN_DEVICE_FUNC const SumReturnType sum () const
 
EIGEN_DEVICE_FUNC VectorwiseOp (ExpressionType &matrix)
 

Protected Types

typedef internal::conditional< isVertical, typename ExpressionType::ColXpr, typename ExpressionType::RowXpr >::type SubVector
 

Protected Member Functions

template<typename OtherDerived >
EIGEN_DEVICE_FUNC ExtendedType< OtherDerived >::Type extendedTo (const DenseBase< OtherDerived > &other) const
 
template<typename OtherDerived >
EIGEN_DEVICE_FUNC OppositeExtendedType< OtherDerived >::Type extendedToOpposite (const DenseBase< OtherDerived > &other) const
 
EIGEN_DEVICE_FUNC SubVector subVector (Index i)
 
EIGEN_DEVICE_FUNC Index subVectors () const
 

Protected Attributes

ExpressionTypeNested m_matrix
 

Detailed Description

template<typename ExpressionType, int Direction>
class Eigen::VectorwiseOp< ExpressionType, Direction >

Pseudo expression providing partial reduction operations.

Template Parameters
ExpressionTypethe type of the object on which to do partial reductions
Directionindicates the direction of the redux (Vertical or Horizontal)

This class represents a pseudo expression with partial reduction features. It is the return type of DenseBase::colwise() and DenseBase::rowwise() and most of the time this is the only way it is used.

Example:

Matrix3d m = Matrix3d::Random();
cout << "Here is the matrix m:" << endl << m << endl;
cout << "Here is the sum of each column:" << endl << m.colwise().sum() << endl;
cout << "Here is the maximum absolute value of each column:"
<< endl << m.cwiseAbs().colwise().maxCoeff() << endl;

Output:

See also
DenseBase::colwise(), DenseBase::rowwise(), class PartialReduxExpr

Definition at line 245 of file ForwardDeclarations.h.

Member Typedef Documentation

template<typename ExpressionType, int Direction>
typedef ReturnType<internal::member_all>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::AllReturnType

Definition at line 283 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef ReturnType<internal::member_any>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::AnyReturnType

Definition at line 284 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef ReturnType<internal::member_blueNorm,RealScalar>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::BlueNormReturnType

Definition at line 278 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef Reverse<const ExpressionType, Direction> Eigen::VectorwiseOp< ExpressionType, Direction >::ConstReverseReturnType

Definition at line 287 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef PartialReduxExpr<ExpressionType, internal::member_count<Index>, Direction> Eigen::VectorwiseOp< ExpressionType, Direction >::CountReturnType

Definition at line 285 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef ExpressionType::PlainObject Eigen::VectorwiseOp< ExpressionType, Direction >::CrossReturnType

Definition at line 631 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef internal::ref_selector<ExpressionType>::non_const_type Eigen::VectorwiseOp< ExpressionType, Direction >::ExpressionTypeNested

Definition at line 163 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef internal::remove_all<ExpressionTypeNested>::type Eigen::VectorwiseOp< ExpressionType, Direction >::ExpressionTypeNestedCleaned

Definition at line 164 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef Block<const ExpressionType, Direction==Vertical ? int(HNormalized_SizeMinusOne) : int(internal::traits<ExpressionType>::RowsAtCompileTime), Direction==Horizontal ? int(HNormalized_SizeMinusOne) : int(internal::traits<ExpressionType>::ColsAtCompileTime)> Eigen::VectorwiseOp< ExpressionType, Direction >::HNormalized_Block

Definition at line 646 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef Block<const ExpressionType, Direction==Vertical ? 1 : int(internal::traits<ExpressionType>::RowsAtCompileTime), Direction==Horizontal ? 1 : int(internal::traits<ExpressionType>::ColsAtCompileTime)> Eigen::VectorwiseOp< ExpressionType, Direction >::HNormalized_Factors

Definition at line 650 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef CwiseBinaryOp<internal::scalar_quotient_op<typename internal::traits<ExpressionType>::Scalar>, const HNormalized_Block, const Replicate<HNormalized_Factors, Direction==Vertical ? HNormalized_SizeMinusOne : 1, Direction==Horizontal ? HNormalized_SizeMinusOne : 1> > Eigen::VectorwiseOp< ExpressionType, Direction >::HNormalizedReturnType

Definition at line 656 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef Homogeneous<ExpressionType,Direction> Eigen::VectorwiseOp< ExpressionType, Direction >::HomogeneousReturnType

Definition at line 627 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef ReturnType<internal::member_hypotNorm,RealScalar>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::HypotNormReturnType

Definition at line 280 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef Eigen::Index Eigen::VectorwiseOp< ExpressionType, Direction >::Index
Deprecated:
since Eigen 3.3

Definition at line 162 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef ReturnType<internal::member_maxCoeff>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::MaxCoeffReturnType

Definition at line 275 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef ReturnType<internal::member_mean>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::MeanReturnType

Definition at line 282 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef ReturnType<internal::member_minCoeff>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::MinCoeffReturnType

Definition at line 274 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef ReturnType<internal::member_norm,RealScalar>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::NormReturnType

Definition at line 277 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef ReturnType<internal::member_prod>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::ProdReturnType

Definition at line 286 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef ExpressionType::RealScalar Eigen::VectorwiseOp< ExpressionType, Direction >::RealScalar

Definition at line 161 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef Replicate<ExpressionType,(isVertical?Dynamic:1),(isHorizontal?Dynamic:1)> Eigen::VectorwiseOp< ExpressionType, Direction >::ReplicateReturnType

Definition at line 471 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef Reverse<ExpressionType, Direction> Eigen::VectorwiseOp< ExpressionType, Direction >::ReverseReturnType

Definition at line 288 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef ExpressionType::Scalar Eigen::VectorwiseOp< ExpressionType, Direction >::Scalar

Definition at line 160 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef ReturnType<internal::member_squaredNorm,RealScalar>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::SquaredNormReturnType

Definition at line 276 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef ReturnType<internal::member_stableNorm,RealScalar>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::StableNormReturnType

Definition at line 279 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef internal::conditional<isVertical, typename ExpressionType::ColXpr, typename ExpressionType::RowXpr>::type Eigen::VectorwiseOp< ExpressionType, Direction >::SubVector
protected

Definition at line 192 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
typedef ReturnType<internal::member_sum>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::SumReturnType

Definition at line 281 of file VectorwiseOp.h.

Member Enumeration Documentation

template<typename ExpressionType, int Direction>
anonymous enum
Enumerator
isVertical 
isHorizontal 

Definition at line 183 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
anonymous enum
Enumerator
HNormalized_Size 
HNormalized_SizeMinusOne 

Definition at line 636 of file VectorwiseOp.h.

Constructor & Destructor Documentation

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC Eigen::VectorwiseOp< ExpressionType, Direction >::VectorwiseOp ( ExpressionType &  matrix)
inlineexplicit

Definition at line 255 of file VectorwiseOp.h.

Member Function Documentation

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC const ExpressionType& Eigen::VectorwiseOp< ExpressionType, Direction >::_expression ( ) const
inline

Definition at line 259 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC const AllReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::all ( ) const
inline
Returns
a row (or column) vector expression representing whether all coefficients of each respective column (or row) are true. This expression can be assigned to a vector with entries of type bool.
See also
DenseBase::all()

Definition at line 415 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC const AnyReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::any ( ) const
inline
Returns
a row (or column) vector expression representing whether at least one coefficient of each respective column (or row) is true. This expression can be assigned to a vector with entries of type bool.
See also
DenseBase::any()

Definition at line 424 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC const BlueNormReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::blueNorm ( ) const
inline
Returns
a row (or column) vector expression of the norm of each column (or row) of the referenced expression, using Blue's algorithm. This is a vector with real entries, even if the original matrix has complex entries.
See also
DenseBase::blueNorm()

Definition at line 365 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC const CountReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::count ( ) const
inline
Returns
a row (or column) vector expression representing the number of true coefficients of each respective column (or row). This expression can be assigned to a vector whose entries have the same type as is used to index entries of the original matrix; for dense matrices, this is std::ptrdiff_t .

Example:

Matrix3d m = Matrix3d::Random();
cout << "Here is the matrix m:" << endl << m << endl;
Matrix<ptrdiff_t, 3, 1> res = (m.array() >= 0.5).rowwise().count();
cout << "Here is the count of elements larger or equal than 0.5 of each row:" << endl;
cout << res << endl;

Output:

See also
DenseBase::count()

Definition at line 437 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
template<typename OtherDerived >
EIGEN_DEVICE_FUNC ExtendedType<OtherDerived>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::extendedTo ( const DenseBase< OtherDerived > &  other) const
inlineprotected

Definition at line 218 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
template<typename OtherDerived >
EIGEN_DEVICE_FUNC OppositeExtendedType<OtherDerived>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::extendedToOpposite ( const DenseBase< OtherDerived > &  other) const
inlineprotected

Definition at line 241 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC const HypotNormReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::hypotNorm ( ) const
inline
Returns
a row (or column) vector expression of the norm of each column (or row) of the referenced expression, avoiding underflow and overflow using a concatenation of hypot() calls. This is a vector with real entries, even if the original matrix has complex entries.
See also
DenseBase::hypotNorm()

Definition at line 387 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
template<int p>
EIGEN_DEVICE_FUNC const LpNormReturnType<p>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::lpNorm ( ) const
inline
Returns
a row (or column) vector expression of the norm of each column (or row) of the referenced expression. This is a vector with real entries, even if the original matrix has complex entries.

Example:

Matrix3d m = Matrix3d::Random();
cout << "Here is the matrix m:" << endl << m << endl;
cout << "Here is the norm of each column:" << endl << m.colwise().norm() << endl;

Output:

See also
DenseBase::norm()

Definition at line 354 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC const MaxCoeffReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::maxCoeff ( ) const
inline
Returns
a row (or column) vector expression of the largest coefficient of each column (or row) of the referenced expression.
Warning
the result is undefined if *this contains NaN.

Example:

Matrix3d m = Matrix3d::Random();
cout << "Here is the matrix m:" << endl << m << endl;
cout << "Here is the maximum of each column:" << endl << m.colwise().maxCoeff() << endl;

Output:

See also
DenseBase::maxCoeff()

Definition at line 317 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC const MeanReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::mean ( ) const
inline
Returns
a row (or column) vector expression of the mean of each column (or row) of the referenced expression.
See also
DenseBase::mean()

Definition at line 406 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC const MinCoeffReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::minCoeff ( ) const
inline
Returns
a row (or column) vector expression of the smallest coefficient of each column (or row) of the referenced expression.
Warning
the result is undefined if *this contains NaN.

Example:

Matrix3d m = Matrix3d::Random();
cout << "Here is the matrix m:" << endl << m << endl;
cout << "Here is the minimum of each column:" << endl << m.colwise().minCoeff() << endl;

Output:

See also
DenseBase::minCoeff()

Definition at line 304 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC const NormReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::norm ( ) const
inline
Returns
a row (or column) vector expression of the norm of each column (or row) of the referenced expression. This is a vector with real entries, even if the original matrix has complex entries.

Example:

Matrix3d m = Matrix3d::Random();
cout << "Here is the matrix m:" << endl << m << endl;
cout << "Here is the norm of each column:" << endl << m.colwise().norm() << endl;

Output:

See also
DenseBase::norm()

Definition at line 341 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC void Eigen::VectorwiseOp< ExpressionType, Direction >::normalize ( )
inline

Normalize in-place each row or columns of the referenced matrix.

See also
MatrixBase::normalize(), normalized()

Definition at line 619 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC CwiseBinaryOp<internal::scalar_quotient_op<Scalar>, const ExpressionTypeNestedCleaned, const typename OppositeExtendedType<typename ReturnType<internal::member_norm,RealScalar>::Type>::Type> Eigen::VectorwiseOp< ExpressionType, Direction >::normalized ( ) const
inline
Returns
an expression where each column (or row) of the referenced matrix are normalized. The referenced matrix is not modified.
See also
MatrixBase::normalized(), normalize()

Definition at line 613 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
template<typename OtherDerived >
EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC CwiseBinaryOp<internal::scalar_product_op<Scalar>, const ExpressionTypeNestedCleaned, const typename ExtendedType<OtherDerived>::Type> EIGEN_DEVICE_FUNC Eigen::VectorwiseOp< ExpressionType, Direction >::operator* ( const DenseBase< OtherDerived > &  other) const
inline

Returns the expression where each subvector is the product of the vector other by the corresponding subvector of *this

Definition at line 582 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
template<typename OtherDerived >
EIGEN_DEVICE_FUNC ExpressionType& Eigen::VectorwiseOp< ExpressionType, Direction >::operator*= ( const DenseBase< OtherDerived > &  other)
inline

Multiples each subvector of *this by the vector other

Definition at line 529 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
template<typename OtherDerived >
EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC CwiseBinaryOp<internal::scalar_sum_op<Scalar,typename OtherDerived::Scalar>, const ExpressionTypeNestedCleaned, const typename ExtendedType<OtherDerived>::Type> Eigen::VectorwiseOp< ExpressionType, Direction >::operator+ ( const DenseBase< OtherDerived > &  other) const
inline

Returns the expression of the sum of the vector other to each subvector of *this

Definition at line 555 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
template<typename OtherDerived >
EIGEN_DEVICE_FUNC ExpressionType& Eigen::VectorwiseOp< ExpressionType, Direction >::operator+= ( const DenseBase< OtherDerived > &  other)
inline

Adds the vector other to each subvector of *this

Definition at line 509 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
template<typename OtherDerived >
EIGEN_DEVICE_FUNC CwiseBinaryOp<internal::scalar_difference_op<Scalar,typename OtherDerived::Scalar>, const ExpressionTypeNestedCleaned, const typename ExtendedType<OtherDerived>::Type> Eigen::VectorwiseOp< ExpressionType, Direction >::operator- ( const DenseBase< OtherDerived > &  other) const
inline

Returns the expression of the difference between each subvector of *this and the vector other

Definition at line 568 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
template<typename OtherDerived >
EIGEN_DEVICE_FUNC ExpressionType& Eigen::VectorwiseOp< ExpressionType, Direction >::operator-= ( const DenseBase< OtherDerived > &  other)
inline

Substracts the vector other to each subvector of *this

Definition at line 519 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
template<typename OtherDerived >
EIGEN_DEVICE_FUNC CwiseBinaryOp<internal::scalar_quotient_op<Scalar>, const ExpressionTypeNestedCleaned, const typename ExtendedType<OtherDerived>::Type> Eigen::VectorwiseOp< ExpressionType, Direction >::operator/ ( const DenseBase< OtherDerived > &  other) const
inline

Returns the expression where each subvector is the quotient of the corresponding subvector of *this by the vector other

Definition at line 597 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
template<typename OtherDerived >
EIGEN_DEVICE_FUNC ExpressionType& Eigen::VectorwiseOp< ExpressionType, Direction >::operator/= ( const DenseBase< OtherDerived > &  other)
inline

Divides each subvector of *this by the vector other

Definition at line 541 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
template<typename OtherDerived >
EIGEN_DEVICE_FUNC ExpressionType& Eigen::VectorwiseOp< ExpressionType, Direction >::operator= ( const DenseBase< OtherDerived > &  other)
inline

Copies the vector other to each subvector of *this

Definition at line 498 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC const ProdReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::prod ( ) const
inline
Returns
a row (or column) vector expression of the product of each column (or row) of the referenced expression.

Example:

Matrix3d m = Matrix3d::Random();
cout << "Here is the matrix m:" << endl << m << endl;
cout << "Here is the product of each row:" << endl << m.rowwise().prod() << endl;

Output:

See also
DenseBase::prod()

Definition at line 448 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
template<typename BinaryOp >
EIGEN_DEVICE_FUNC const ReduxReturnType<BinaryOp>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::redux ( const BinaryOp &  func = BinaryOp()) const
inline
Returns
a row or column vector expression of *this reduxed by func

The template parameter BinaryOp is the type of the functor of the custom redux operator. Note that func must be an associative operator.

See also
class VectorwiseOp, DenseBase::colwise(), DenseBase::rowwise()

Definition at line 271 of file VectorwiseOp.h.

template<typename ExpressionType , int Direction>
const VectorwiseOp< ExpressionType, Direction >::ReplicateReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::replicate ( Index  factor) const
Returns
an expression of the replication of each column (or row) of *this

Example:

Vector3i v = Vector3i::Random();
cout << "Here is the vector v:" << endl << v << endl;
cout << "v.rowwise().replicate(5) = ..." << endl;
cout << v.rowwise().replicate(5) << endl;

Output:

See also
VectorwiseOp::replicate(), DenseBase::replicate(), class Replicate

Definition at line 134 of file Replicate.h.

template<typename ExpressionType, int Direction>
template<int Factor>
const Replicate<ExpressionType,isVertical*Factor+isHorizontal,isHorizontal*Factor+isVertical> EIGEN_DEVICE_FUNC Eigen::VectorwiseOp< ExpressionType, Direction >::replicate ( Index  factor = Factor) const
inline
Returns
an expression of the replication of each column (or row) of *this

Example:

MatrixXi m = MatrixXi::Random(2,3);
cout << "Here is the matrix m:" << endl << m << endl;
cout << "m.colwise().replicate<3>() = ..." << endl;
cout << m.colwise().replicate<3>() << endl;

Output:

See also
VectorwiseOp::replicate(Index), DenseBase::replicate(), class Replicate

Definition at line 487 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC const ConstReverseReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::reverse ( ) const
inline
Returns
a matrix expression where each column (or row) are reversed.

Example:

MatrixXi m = MatrixXi::Random(3,4);
cout << "Here is the matrix m:" << endl << m << endl;
cout << "Here is the rowwise reverse of m:" << endl << m.rowwise().reverse() << endl;
cout << "Here is the colwise reverse of m:" << endl << m.colwise().reverse() << endl;
cout << "Here is the coefficient (1,0) in the rowise reverse of m:" << endl
<< m.rowwise().reverse()(1,0) << endl;
cout << "Let us overwrite this coefficient with the value 4." << endl;
//m.colwise().reverse()(1,0) = 4;
cout << "Now the matrix m is:" << endl << m << endl;

Output:

See also
DenseBase::reverse()

Definition at line 460 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC ReverseReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::reverse ( )
inline
Returns
a writable matrix expression where each column (or row) are reversed.
See also
reverse() const

Definition at line 468 of file VectorwiseOp.h.

template<typename ExpressionType , int Direction>
void Eigen::VectorwiseOp< ExpressionType, Direction >::reverseInPlace ( )
inline

This is the "in place" version of VectorwiseOp::reverse: it reverses each column or row of *this.

In most cases it is probably better to simply use the reversed expression of a matrix. However, when reversing the matrix data itself is really needed, then this "in-place" version is probably the right choice because it provides the following additional benefits:

  • less error prone: doing the same operation with .reverse() requires special care:
    m = m.reverse().eval();
  • this API enables reverse operations without the need for a temporary
See also
DenseBase::reverseInPlace(), reverse()

Definition at line 204 of file Reverse.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC const SquaredNormReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::squaredNorm ( ) const
inline
Returns
a row (or column) vector expression of the squared norm of each column (or row) of the referenced expression. This is a vector with real entries, even if the original matrix has complex entries.

Example:

Matrix3d m = Matrix3d::Random();
cout << "Here is the matrix m:" << endl << m << endl;
cout << "Here is the square norm of each row:" << endl << m.rowwise().squaredNorm() << endl;

Output:

See also
DenseBase::squaredNorm()

Definition at line 329 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC const StableNormReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::stableNorm ( ) const
inline
Returns
a row (or column) vector expression of the norm of each column (or row) of the referenced expression, avoiding underflow and overflow. This is a vector with real entries, even if the original matrix has complex entries.
See also
DenseBase::stableNorm()

Definition at line 376 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC SubVector Eigen::VectorwiseOp< ExpressionType, Direction >::subVector ( Index  i)
inlineprotected

Definition at line 196 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC Index Eigen::VectorwiseOp< ExpressionType, Direction >::subVectors ( ) const
inlineprotected

Definition at line 204 of file VectorwiseOp.h.

template<typename ExpressionType, int Direction>
EIGEN_DEVICE_FUNC const SumReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::sum ( ) const
inline
Returns
a row (or column) vector expression of the sum of each column (or row) of the referenced expression.

Example:

Matrix3d m = Matrix3d::Random();
cout << "Here is the matrix m:" << endl << m << endl;
cout << "Here is the sum of each row:" << endl << m.rowwise().sum() << endl;

Output:

See also
DenseBase::sum()

Definition at line 398 of file VectorwiseOp.h.

Member Data Documentation

template<typename ExpressionType, int Direction>
ExpressionTypeNested Eigen::VectorwiseOp< ExpressionType, Direction >::m_matrix
protected

Definition at line 662 of file VectorwiseOp.h.


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


gtsam
Author(s):
autogenerated on Sat May 8 2021 02:55:42