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

Pseudo expression providing partial reduction operations. More...

#include <VectorwiseOp.h>

Classes

struct  ExtendedType
 
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 ExpressionType::Scalar Scalar
 
typedef ExpressionType::RealScalar RealScalar
 
typedef ExpressionType::Index Index
 
typedef internal::conditional< internal::must_nest_by_value< ExpressionType >::ret, ExpressionType, ExpressionType & >::type ExpressionTypeNested
 
typedef internal::remove_all< ExpressionTypeNested >::type ExpressionTypeNestedCleaned
 
typedef Replicate< ExpressionType, Direction==Vertical?Dynamic:1, Direction==Horizontal?Dynamic:1 > ReplicateReturnType
 
typedef ExpressionType::PlainObject CrossReturnType
 
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
 

Public Member Functions

 VectorwiseOp (ExpressionType &matrix)
 
const ExpressionType & _expression () const
 
template<typename BinaryOp >
const ReduxReturnType< BinaryOp >::Type redux (const BinaryOp &func=BinaryOp()) const
 
const ReturnType< internal::member_minCoeff >::Type minCoeff () const
 
const ReturnType< internal::member_maxCoeff >::Type maxCoeff () const
 
const ReturnType< internal::member_squaredNorm, RealScalar >::Type squaredNorm () const
 
const ReturnType< internal::member_norm, RealScalar >::Type norm () const
 
const ReturnType< internal::member_blueNorm, RealScalar >::Type blueNorm () const
 
const ReturnType< internal::member_stableNorm, RealScalar >::Type stableNorm () const
 
const ReturnType< internal::member_hypotNorm, RealScalar >::Type hypotNorm () const
 
const ReturnType< internal::member_sum >::Type sum () const
 
const ReturnType< internal::member_mean >::Type mean () const
 
const ReturnType< internal::member_all >::Type all () const
 
const ReturnType< internal::member_any >::Type any () const
 
const PartialReduxExpr< ExpressionType, internal::member_count< Index >, Direction > count () const
 
const ReturnType< internal::member_prod >::Type prod () const
 
const Reverse< ExpressionType, Direction > reverse () const
 
const ReplicateReturnType replicate (Index factor) const
 
template<int Factor>
const Replicate< ExpressionType,(IsVertical?Factor:1),(IsHorizontal?Factor:1)> replicate (Index factor=Factor) const
 
template<typename OtherDerived >
ExpressionType & operator= (const DenseBase< OtherDerived > &other)
 Copies the vector other to each subvector of *this.
 
template<typename OtherDerived >
ExpressionType & operator+= (const DenseBase< OtherDerived > &other)
 Adds the vector other to each subvector of *this.
 
template<typename OtherDerived >
ExpressionType & operator-= (const DenseBase< OtherDerived > &other)
 Substracts the vector other to each subvector of *this.
 
template<typename OtherDerived >
ExpressionType & operator*= (const DenseBase< OtherDerived > &other)
 Multiples each subvector of *this by the vector other.
 
template<typename OtherDerived >
ExpressionType & operator/= (const DenseBase< OtherDerived > &other)
 Divides each subvector of *this by the vector other.
 
template<typename OtherDerived >
EIGEN_STRONG_INLINE CwiseBinaryOp< internal::scalar_sum_op< Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > operator+ (const DenseBase< OtherDerived > &other) const
 Returns the expression of the sum of the vector other to each subvector of *this.
 
template<typename OtherDerived >
CwiseBinaryOp< internal::scalar_difference_op< Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > operator- (const DenseBase< OtherDerived > &other) const
 Returns the expression of the difference between each subvector of *this and the vector other.
 
template<typename OtherDerived >
EIGEN_STRONG_INLINE CwiseBinaryOp< internal::scalar_product_op< Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > operator* (const DenseBase< OtherDerived > &other) const
 Returns the expression where each subvector is the product of the vector other by the corresponding subvector of *this.
 
template<typename OtherDerived >
CwiseBinaryOp< internal::scalar_quotient_op< Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > operator/ (const DenseBase< OtherDerived > &other) const
 Returns the expression where each subvector is the quotient of the corresponding subvector of *this by the vector other.
 
CwiseBinaryOp< internal::scalar_quotient_op< Scalar >, const ExpressionTypeNestedCleaned, const typename OppositeExtendedType< typename ReturnType< internal::member_norm, RealScalar >::Type >::Type > normalized () const
 
void normalize ()
 Normalize in-place each row or columns of the referenced matrix. More...
 
template<typename OtherDerived >
const CrossReturnType cross (const MatrixBase< OtherDerived > &other) const
 
const HNormalizedReturnType hnormalized () const
 

Protected Types

typedef internal::conditional< Direction==Vertical, typename ExpressionType::ColXpr, typename ExpressionType::RowXpr >::type SubVector
 

Protected Member Functions

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

Protected Attributes

ExpressionTypeNested m_matrix
 

Detailed Description

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

Pseudo expression providing partial reduction operations.

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:

Output:

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

Member Function Documentation

§ all()

template<typename ExpressionType, int Direction>
const ReturnType<internal::member_all>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::all ( void  ) const
inline
Returns
a row (or column) vector expression representing whether all coefficients of each respective column (or row) are true.
See also
DenseBase::all()

§ any()

template<typename ExpressionType, int Direction>
const ReturnType<internal::member_any>::Type Eigen::VectorwiseOp< ExpressionType, Direction >::any ( void  ) const
inline
Returns
a row (or column) vector expression representing whether at least one coefficient of each respective column (or row) is true.
See also
DenseBase::any()

§ blueNorm()

template<typename ExpressionType, int Direction>
const ReturnType<internal::member_blueNorm,RealScalar>::Type 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.
See also
DenseBase::blueNorm()

§ count()

template<typename ExpressionType, int Direction>
const PartialReduxExpr<ExpressionType, internal::member_count<Index>, Direction> 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).

Example:

Output:

See also
DenseBase::count()

§ cross()

template<typename ExpressionType , int Direction>
template<typename OtherDerived >
const VectorwiseOp< ExpressionType, Direction >::CrossReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::cross ( const MatrixBase< OtherDerived > &  other) const
Returns
a matrix expression of the cross product of each column or row of the referenced expression with the other vector.

The referenced matrix must have one dimension equal to 3. The result matrix has the same dimensions than the referenced one.

See also
MatrixBase::cross()

§ hnormalized()

template<typename ExpressionType , int Direction>
const VectorwiseOp< ExpressionType, Direction >::HNormalizedReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::hnormalized ( ) const
inline

Returns
an expression of the homogeneous normalized vector of *this

Example:

Output:

See also
MatrixBase::hnormalized()

§ hypotNorm()

template<typename ExpressionType, int Direction>
const ReturnType<internal::member_hypotNorm,RealScalar>::Type 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.
See also
DenseBase::hypotNorm()

§ maxCoeff()

template<typename ExpressionType, int Direction>
const ReturnType<internal::member_maxCoeff>::Type 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:

Output:

See also
DenseBase::maxCoeff()

§ mean()

template<typename ExpressionType, int Direction>
const ReturnType<internal::member_mean>::Type 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()

§ minCoeff()

template<typename ExpressionType, int Direction>
const ReturnType<internal::member_minCoeff>::Type 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:

Output:

See also
DenseBase::minCoeff()

§ norm()

template<typename ExpressionType, int Direction>
const ReturnType<internal::member_norm,RealScalar>::Type 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.

Example:

Output:

See also
DenseBase::norm()

§ normalize()

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

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

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

§ normalized()

template<typename ExpressionType, int Direction>
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 of row of the referenced matrix are normalized. The referenced matrix is not modified.
See also
MatrixBase::normalized(), normalize()

§ prod()

template<typename ExpressionType, int Direction>
const ReturnType<internal::member_prod>::Type 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:

Output:

See also
DenseBase::prod()

§ redux()

template<typename ExpressionType, int Direction>
template<typename BinaryOp >
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()

§ replicate() [1/2]

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:

Output:

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

§ replicate() [2/2]

template<typename ExpressionType, int Direction>
template<int Factor>
const Replicate<ExpressionType,(IsVertical?Factor:1),(IsHorizontal?Factor:1)> Eigen::VectorwiseOp< ExpressionType, Direction >::replicate ( Index  factor = Factor) const
inline
Returns
an expression of the replication of each column (or row) of *this

Example:

Output:

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

§ reverse()

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

Example:

Output:

See also
DenseBase::reverse()

§ squaredNorm()

template<typename ExpressionType, int Direction>
const ReturnType<internal::member_squaredNorm,RealScalar>::Type 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.

Example:

Output:

See also
DenseBase::squaredNorm()

§ stableNorm()

template<typename ExpressionType, int Direction>
const ReturnType<internal::member_stableNorm,RealScalar>::Type 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.
See also
DenseBase::stableNorm()

§ sum()

template<typename ExpressionType, int Direction>
const ReturnType<internal::member_sum>::Type 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:

Output:

See also
DenseBase::sum()

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