Detailed Description

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

Pseudo expression providing partial reduction operations.

Template Parameters

ExpressionType	the type of the object on which to do partial reductions
Direction	indicates 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:

Here is the matrix m:
     -1 -0.0827  -0.906
 -0.737  0.0655   0.358
  0.511  -0.562   0.359
Here is the sum of each column:
 -1.23 -0.579  -0.19
Here is the maximum absolute value of each column:
    1 0.562 0.906

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

Public Types
typedef Eigen::Index	Index

Public Member Functions
const AllReturnType	all () const

const AnyReturnType	any () const

const BlueNormReturnType	blueNorm () const

const CountReturnType	count () const

template<typename OtherDerived >
const CrossReturnType	cross (const MatrixBase< OtherDerived > &other) const

const HNormalizedReturnType	hnormalized () const
	column or row-wise homogeneous normalization More...

HomogeneousReturnType	homogeneous () const

const HypotNormReturnType	hypotNorm () const

template<int p>
const LpNormReturnType< p >::Type	lpNorm () const

const MaxCoeffReturnType	maxCoeff () const

const MeanReturnType	mean () const

const MinCoeffReturnType	minCoeff () const

const NormReturnType	norm () const

void	normalize ()

CwiseBinaryOp< internal::scalar_quotient_op< Scalar >, const ExpressionTypeNestedCleaned, const typename OppositeExtendedType< typename ReturnType< internal::member_norm, RealScalar >::Type >::Type >	normalized () const

template<typename OtherDerived >
CwiseBinaryOp< internal::scalar_product_op< Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type >	operator* (const DenseBase< OtherDerived > &other) const

template<typename OtherDerived >
ExpressionType &	operator*= (const DenseBase< OtherDerived > &other)

template<typename OtherDerived >
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 >
ExpressionType &	operator+= (const DenseBase< OtherDerived > &other)

template<typename OtherDerived >
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 >
ExpressionType &	operator-= (const DenseBase< OtherDerived > &other)

template<typename OtherDerived >
CwiseBinaryOp< internal::scalar_quotient_op< Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type >	operator/ (const DenseBase< OtherDerived > &other) const

template<typename OtherDerived >
ExpressionType &	operator/= (const DenseBase< OtherDerived > &other)

template<typename OtherDerived >
ExpressionType &	operator= (const DenseBase< OtherDerived > &other)

const ProdReturnType	prod () const

template<typename BinaryOp >
const ReduxReturnType< BinaryOp >::Type	redux (const BinaryOp &func=BinaryOp()) const

const ReplicateReturnType	replicate (Index factor) const

template<int Factor>
const Replicate< ExpressionType, isVertical Factor+isHorizontal, isHorizontal Factor+isVertical >	replicate (Index factor=Factor) const

ReverseReturnType	reverse ()

const ConstReverseReturnType	reverse () const

void	reverseInPlace ()

const SquaredNormReturnType	squaredNorm () const

const StableNormReturnType	stableNorm () const

const SumReturnType	sum () const

Member Typedef Documentation

◆ Index

template<typename ExpressionType , int Direction>

typedef Eigen::Index Eigen::VectorwiseOp< ExpressionType, Direction >::Index

Deprecated:: since Eigen 3.3

Member Function Documentation

◆ all()

template<typename ExpressionType , int Direction>

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()

◆ any()

template<typename ExpressionType , int Direction>

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()

◆ blueNorm()

template<typename ExpressionType , int Direction>

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()

◆ count()

template<typename ExpressionType , int Direction>

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:

Here is the matrix m:
     -1 -0.0827  -0.906
 -0.737  0.0655   0.358
  0.511  -0.562   0.359
Here is the count of elements larger or equal than 0.5 of each row:
0
0
1

See also: DenseBase::count()

◆ hypotNorm()

template<typename ExpressionType , int Direction>

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()

◆ lpNorm()

template<typename ExpressionType , int Direction>

template<int p>

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:

Here is the matrix m:
     -1 -0.0827  -0.906
 -0.737  0.0655   0.358
  0.511  -0.562   0.359
Here is the norm of each column:
 1.34 0.572  1.04

See also: DenseBase::norm()

◆ maxCoeff()

template<typename ExpressionType , int Direction>

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:

Here is the matrix m:
     -1 -0.0827  -0.906
 -0.737  0.0655   0.358
  0.511  -0.562   0.359
Here is the maximum of each column:
 0.511 0.0655  0.359

See also: DenseBase::maxCoeff()

◆ mean()

template<typename ExpressionType , int Direction>

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()

◆ minCoeff()

template<typename ExpressionType , int Direction>

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:

Here is the matrix m:
     -1 -0.0827  -0.906
 -0.737  0.0655   0.358
  0.511  -0.562   0.359
Here is the minimum of each column:
    -1 -0.562 -0.906

See also: DenseBase::minCoeff()

◆ norm()

template<typename ExpressionType , int Direction>

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:

Here is the matrix m:
     -1 -0.0827  -0.906
 -0.737  0.0655   0.358
  0.511  -0.562   0.359
Here is the norm of each column:
 1.34 0.572  1.04

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 (or row) of the referenced matrix are normalized. The referenced matrix is not modified.

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

◆ operator*()

template<typename ExpressionType , int Direction>

template<typename OtherDerived >

CwiseBinaryOp<internal::scalar_product_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 product of the vector other by the corresponding subvector of *this

◆ operator*=()

template<typename ExpressionType , int Direction>

template<typename OtherDerived >

ExpressionType& Eigen::VectorwiseOp< ExpressionType, Direction >::operator*= ( const DenseBase< OtherDerived > & other )

inline

Multiples each subvector of *this by the vector other

◆ operator+()

template<typename ExpressionType , int Direction>

template<typename OtherDerived >

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

◆ operator+=()

template<typename ExpressionType , int Direction>

template<typename OtherDerived >

ExpressionType& Eigen::VectorwiseOp< ExpressionType, Direction >::operator+= ( const DenseBase< OtherDerived > & other )

inline

Adds the vector other to each subvector of *this

◆ operator-()

template<typename ExpressionType , int Direction>

template<typename OtherDerived >

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

◆ operator-=()

template<typename ExpressionType , int Direction>

template<typename OtherDerived >

ExpressionType& Eigen::VectorwiseOp< ExpressionType, Direction >::operator-= ( const DenseBase< OtherDerived > & other )

inline

Substracts the vector other to each subvector of *this

◆ operator/()

template<typename ExpressionType , int Direction>

template<typename OtherDerived >

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

◆ operator/=()

template<typename ExpressionType , int Direction>

template<typename OtherDerived >

ExpressionType& Eigen::VectorwiseOp< ExpressionType, Direction >::operator/= ( const DenseBase< OtherDerived > & other )

inline

Divides each subvector of *this by the vector other

◆ operator=()

template<typename ExpressionType , int Direction>

template<typename OtherDerived >

ExpressionType& Eigen::VectorwiseOp< ExpressionType, Direction >::operator= ( const DenseBase< OtherDerived > & other )

inline

Copies the vector other to each subvector of *this

◆ prod()

template<typename ExpressionType , int Direction>

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:

Here is the matrix m:
     -1 -0.0827  -0.906
 -0.737  0.0655   0.358
  0.511  -0.562   0.359
Here is the product of each row:
-0.0749
-0.0173
 -0.103

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:

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:

Here is the vector v:
-10
 -8
  5
v.rowwise().replicate(5) = ...
-10 -10 -10 -10 -10
 -8  -8  -8  -8  -8
  5   5   5   5   5

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

◆ replicate() [2/2]

template<typename ExpressionType , int Direction>

template<int Factor>

const Replicate<ExpressionType,isVertical*Factor+isHorizontal,isHorizontal*Factor+isVertical> 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:

Here is the matrix m:
-10   5   1
 -8  -1  -6
m.colwise().replicate<3>() = ...
-10   5   1
 -8  -1  -6
-10   5   1
 -8  -1  -6
-10   5   1
 -8  -1  -6

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

◆ reverse() [1/2]

template<typename ExpressionType , int Direction>

ReverseReturnType Eigen::VectorwiseOp< ExpressionType, Direction >::reverse ( )

inline

Returns: a writable matrix expression where each column (or row) are reversed.

See also: reverse() const

◆ reverse() [2/2]

template<typename ExpressionType , int Direction>

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:

Here is the matrix m:
-10  -1 -10   9
 -8   1   4  -2
  5  -6   4   0
Here is the rowwise reverse of m:
  9 -10  -1 -10
 -2   4   1  -8
  0   4  -6   5
Here is the colwise reverse of m:
  5  -6   4   0
 -8   1   4  -2
-10  -1 -10   9
Here is the coefficient (1,0) in the rowise reverse of m:
-2
Let us overwrite this coefficient with the value 4.
Now the matrix m is:
-10  -1 -10   9
 -8   1   4  -2
  5  -6   4   0

See also: DenseBase::reverse()

◆ reverseInPlace()

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()

◆ squaredNorm()

template<typename ExpressionType , int Direction>

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:

Here is the matrix m:
     -1 -0.0827  -0.906
 -0.737  0.0655   0.358
  0.511  -0.562   0.359
Here is the square norm of each row:
 1.83
0.675
0.706

See also: DenseBase::squaredNorm()

◆ stableNorm()

template<typename ExpressionType , int Direction>

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()

◆ sum()

template<typename ExpressionType , int Direction>

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:

Here is the matrix m:
     -1 -0.0827  -0.906
 -0.737  0.0655   0.358
  0.511  -0.562   0.359
Here is the sum of each row:
 -1.99
-0.314
 0.308

See also: DenseBase::sum()

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

Detailed Description

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

Public Types

Public Member Functions

Member Typedef Documentation

◆ Index

Member Function Documentation

◆ all()

◆ any()

◆ blueNorm()

◆ count()

◆ hypotNorm()

◆ lpNorm()

◆ maxCoeff()

◆ mean()

◆ minCoeff()

◆ norm()

◆ normalize()

◆ normalized()

◆ operator*()

◆ operator*=()

◆ operator+()

◆ operator+=()

◆ operator-()

◆ operator-=()

◆ operator/()

◆ operator/=()

◆ operator=()

◆ prod()

◆ redux()

◆ replicate() [1/2]

◆ replicate() [2/2]

◆ reverse() [1/2]

◆ reverse() [2/2]

◆ reverseInPlace()

◆ squaredNorm()

◆ stableNorm()

◆ sum()

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