Base class for all dense matrices, vectors, and arrays. More...

#include <DenseBase.h>

Inheritance diagram for Eigen::DenseBase< Derived >:

[legend]

Public Types
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 DenseCoeffsBase< Derived, internal::accessors_level< Derived >::value >	Base

typedef Base::CoeffReturnType	CoeffReturnType

typedef VectorwiseOp< Derived, Vertical >	ColwiseReturnType

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

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

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

typedef internal::add_const< Transpose< const Derived > >::type	ConstTransposeReturnType

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

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

typedef Eigen::InnerIterator< Derived >	InnerIterator

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

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

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

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

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

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

typedef NumTraits< Scalar >::Real	RealScalar

typedef Reverse< Derived, BothDirections >	ReverseReturnType

typedef VectorwiseOp< Derived, Horizontal >	RowwiseReturnType

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

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

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

typedef Transpose< Derived >	TransposeReturnType

typedef Scalar	value_type

Public Member Functions
EIGEN_DEVICE_FUNC bool	all () const

bool	allFinite () const

EIGEN_DEVICE_FUNC bool	any () const

iterator	begin ()

const_iterator	begin () const

const_iterator	cbegin () const

const_iterator	cend () const

EIGEN_DEVICE_FUNC ColwiseReturnType	colwise ()

EIGEN_DEVICE_FUNC ConstColwiseReturnType	colwise () const

EIGEN_DEVICE_FUNC Index	count () const

iterator	end ()

const_iterator	end () const

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EvalReturnType	eval () const

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

EIGEN_DEVICE_FUNC void	fill (const Scalar &value)

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

EIGEN_DEVICE_FUNC ForceAlignedAccess< Derived >	forceAlignedAccess ()

const EIGEN_DEVICE_FUNC ForceAlignedAccess< Derived >	forceAlignedAccess () const

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

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

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

bool	hasNaN () const

EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index	innerSize () const

template<typename OtherDerived >
EIGEN_DEVICE_FUNC bool	isApprox (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

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

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

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

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

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

template<int p>
RealScalar	lpNorm () const

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

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

template<int NaNPropagation, 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	maxCoeff (IndexType row, IndexType col) const

EIGEN_DEVICE_FUNC Scalar	mean () const

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

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

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

template<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	minCoeff (IndexType row, IndexType col) const

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

const EIGEN_DEVICE_FUNC NestByValue< Derived >	nestByValue () const

EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index	nonZeros () const

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

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

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

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

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

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

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

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

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

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

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

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

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

EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index	outerSize () const

EIGEN_DEVICE_FUNC Scalar	prod () const

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

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

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

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

EIGEN_DEVICE_FUNC void	resize (Index newSize)

EIGEN_DEVICE_FUNC void	resize (Index rows, Index cols)

EIGEN_DEVICE_FUNC ReverseReturnType	reverse ()

EIGEN_DEVICE_FUNC ConstReverseReturnType	reverse () const

EIGEN_DEVICE_FUNC void	reverseInPlace ()

EIGEN_DEVICE_FUNC RowwiseReturnType	rowwise ()

EIGEN_DEVICE_FUNC ConstRowwiseReturnType	rowwise () const

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

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

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

EIGEN_DEVICE_FUNC Derived &	setConstant (const Scalar &value)

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

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

EIGEN_DEVICE_FUNC Derived &	setOnes ()

EIGEN_DEVICE_FUNC Derived &	setRandom ()

EIGEN_DEVICE_FUNC Derived &	setZero ()

EIGEN_DEVICE_FUNC Scalar	sum () 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 Scalar	trace () const

EIGEN_DEVICE_FUNC TransposeReturnType	transpose ()

EIGEN_DEVICE_FUNC ConstTransposeReturnType	transpose () const

EIGEN_DEVICE_FUNC void	transposeInPlace ()

EIGEN_DEVICE_FUNC CoeffReturnType	value () const

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

Static Public Member Functions
static const EIGEN_DEVICE_FUNC ConstantReturnType	Constant (const Scalar &value)

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

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

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

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

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

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

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

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

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

static const EIGEN_DEVICE_FUNC ConstantReturnType	Ones ()

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

static const EIGEN_DEVICE_FUNC ConstantReturnType	Ones (Index size)

static const RandomReturnType	Random ()

static const RandomReturnType	Random (Index rows, Index cols)

static const RandomReturnType	Random (Index size)

static const EIGEN_DEVICE_FUNC ConstantReturnType	Zero ()

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

static const EIGEN_DEVICE_FUNC ConstantReturnType	Zero (Index size)

Public Attributes
const typedef VectorwiseOp< const Derived, Vertical >	ConstColwiseReturnType

const typedef Reverse< const Derived, BothDirections >	ConstReverseReturnType

const typedef VectorwiseOp< const Derived, Horizontal >	ConstRowwiseReturnType

EIGEN_DEPRECATED typedef CwiseNullaryOp< internal::linspaced_op< Scalar >, PlainObject >	SequentialLinSpacedReturnType

Protected Member Functions
EIGEN_DEVICE_FUNC	DenseBase ()

Private Member Functions
template<typename OtherDerived >
EIGEN_DEVICE_FUNC	DenseBase (const DenseBase< OtherDerived > &)

EIGEN_DEVICE_FUNC	DenseBase (int)

EIGEN_DEVICE_FUNC	DenseBase (int, int)

Related Functions
(Note that these are not member functions.)
template<typename Derived >
std::ostream &	operator<< (std::ostream &s, const DenseBase< Derived > &m)

Detailed Description

template<typename Derived>
class Eigen::DenseBase< Derived >

Base class for all dense matrices, vectors, and arrays.

This class is the base that is inherited by all dense objects (matrix, vector, arrays, and related expression types). The common Eigen API for dense objects is contained in this class.

Template Parameters

Derived is the derived type, e.g., a matrix type or an expression.

This class can be extended with the help of the plugin mechanism described on the page Extending MatrixBase (and other classes) by defining the preprocessor symbol EIGEN_DENSEBASE_PLUGIN.

See also: \blank The class hierarchy

Definition at line 41 of file DenseBase.h.

Member Typedef Documentation

◆ Base

template<typename Derived >

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

Definition at line 74 of file DenseBase.h.

◆ CoeffReturnType

template<typename Derived >

typedef Base::CoeffReturnType Eigen::DenseBase< Derived >::CoeffReturnType

Definition at line 96 of file DenseBase.h.

◆ ColwiseReturnType

template<typename Derived >

typedef VectorwiseOp<Derived, Vertical> Eigen::DenseBase< Derived >::ColwiseReturnType

Definition at line 539 of file DenseBase.h.

◆ const_iterator

template<typename Derived >

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

Definition at line 644 of file DenseBase.h.

◆ const_iterator_type

template<typename Derived >

typedef internal::conditional< (Flags&DirectAccessBit)==DirectAccessBit, internal::pointer_based_stl_iterator<const Derived>, internal::generic_randaccess_stl_iterator<const Derived> >::type Eigen::DenseBase< Derived >::const_iterator_type

Definition at line 632 of file DenseBase.h.

◆ ConstantReturnType

template<typename Derived >

typedef CwiseNullaryOp<internal::scalar_constant_op<Scalar>,PlainObject> Eigen::DenseBase< Derived >::ConstantReturnType

Definition at line 267 of file DenseBase.h.

◆ ConstTransposeReturnType

template<typename Derived >

typedef internal::add_const<Transpose<const Derived> >::type Eigen::DenseBase< Derived >::ConstTransposeReturnType

Definition at line 327 of file DenseBase.h.

◆ EigenvaluesReturnType

template<typename Derived >

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

Definition at line 273 of file DenseBase.h.

◆ EvalReturnType

template<typename Derived >

typedef internal::add_const_on_value_type<typename internal::eval<Derived>::type>::type Eigen::DenseBase< Derived >::EvalReturnType

Definition at line 398 of file DenseBase.h.

◆ InnerIterator

template<typename Derived >

typedef Eigen::InnerIterator<Derived> Eigen::DenseBase< Derived >::InnerIterator

Inner iterator type to iterate over the coefficients of a row or column.

See also: class InnerIterator

Definition at line 53 of file DenseBase.h.

◆ iterator

template<typename Derived >

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

Definition at line 639 of file DenseBase.h.

◆ iterator_type

template<typename Derived >

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

Definition at line 627 of file DenseBase.h.

◆ PacketScalar

template<typename Derived >

typedef internal::find_best_packet<Scalar,SizeAtCompileTime>::type Eigen::DenseBase< Derived >::PacketScalar

Definition at line 179 of file DenseBase.h.

◆ PlainArray

template<typename Derived >

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 > Eigen::DenseBase< Derived >::PlainArray

The plain array type corresponding to this expression.

See also: PlainObject

Definition at line 201 of file DenseBase.h.

◆ PlainMatrix

template<typename Derived >

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 > Eigen::DenseBase< Derived >::PlainMatrix

The plain matrix type corresponding to this expression.

See also: PlainObject

Definition at line 191 of file DenseBase.h.

◆ PlainObject

template<typename Derived >

typedef internal::conditional<internal::is_same<typename internal::traits<Derived>::XprKind,MatrixXpr >::value, PlainMatrix, PlainArray>::type Eigen::DenseBase< Derived >::PlainObject

The plain matrix or array type corresponding to this expression.

This is not necessarily exactly the return type of eval(). In the case of plain matrices, the return type of eval() is a const reference to a matrix, not a matrix! It is however guaranteed that the return type of eval() is either PlainObject or const PlainObject&.

Definition at line 210 of file DenseBase.h.

◆ RandomAccessLinSpacedReturnType

template<typename Derived >

typedef CwiseNullaryOp<internal::linspaced_op<Scalar>,PlainObject> Eigen::DenseBase< Derived >::RandomAccessLinSpacedReturnType

Definition at line 271 of file DenseBase.h.

◆ RandomReturnType

template<typename Derived >

typedef CwiseNullaryOp<internal::scalar_random_op<Scalar>,PlainObject> Eigen::DenseBase< Derived >::RandomReturnType

Definition at line 567 of file DenseBase.h.

◆ RealScalar

template<typename Derived >

typedef NumTraits<Scalar>::Real Eigen::DenseBase< Derived >::RealScalar

Definition at line 73 of file DenseBase.h.

◆ ReverseReturnType

template<typename Derived >

typedef Reverse<Derived, BothDirections> Eigen::DenseBase< Derived >::ReverseReturnType

Definition at line 605 of file DenseBase.h.

◆ RowwiseReturnType

template<typename Derived >

typedef VectorwiseOp<Derived, Horizontal> Eigen::DenseBase< Derived >::RowwiseReturnType

Definition at line 537 of file DenseBase.h.

◆ Scalar

template<typename Derived >

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

The numeric type of the expression' coefficients, e.g. float, double, int or std::complex<float>, etc.

Definition at line 66 of file DenseBase.h.

◆ StorageIndex

template<typename Derived >

typedef internal::traits<Derived>::StorageIndex Eigen::DenseBase< Derived >::StorageIndex

The type used to store indices.

This typedef is relevant for types that store multiple indices such as PermutationMatrix or Transpositions, otherwise it defaults to Eigen::Index

See also: \blank Preprocessor directives, Eigen::Index, SparseMatrixBase.

Definition at line 63 of file DenseBase.h.

◆ StorageKind

template<typename Derived >

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

Definition at line 55 of file DenseBase.h.

◆ TransposeReturnType

template<typename Derived >

typedef Transpose<Derived> Eigen::DenseBase< Derived >::TransposeReturnType

Definition at line 324 of file DenseBase.h.

◆ value_type

template<typename Derived >

typedef Scalar Eigen::DenseBase< Derived >::value_type

The numeric type of the expression' coefficients, e.g. float, double, int or std::complex<float>, etc.

It is an alias for the Scalar type

Definition at line 71 of file DenseBase.h.

Member Enumeration Documentation

◆ anonymous enum

template<typename Derived >

anonymous enum

Enumerator
RowsAtCompileTime	The number of rows at compile-time. This is just a copy of the value provided by the Derived type. If a value is not known at compile-time, it is set to the Dynamic constant. See also MatrixBase::rows(), MatrixBase::cols(), ColsAtCompileTime, SizeAtCompileTime
ColsAtCompileTime	The number of columns at compile-time. This is just a copy of the value provided by the Derived type. If a value is not known at compile-time, it is set to the Dynamic constant. See also MatrixBase::rows(), MatrixBase::cols(), RowsAtCompileTime, SizeAtCompileTime
SizeAtCompileTime	This is equal to the number of coefficients, i.e. the number of rows times the number of columns, or to Dynamic if this is not known at compile-time. See also RowsAtCompileTime, ColsAtCompileTime
MaxRowsAtCompileTime	This value is equal to the maximum possible number of rows that this expression might have. If this expression might have an arbitrarily high number of rows, this value is set to Dynamic. This value is useful to know when evaluating an expression, in order to determine whether it is possible to avoid doing a dynamic memory allocation. See also RowsAtCompileTime, MaxColsAtCompileTime, MaxSizeAtCompileTime
MaxColsAtCompileTime	This value is equal to the maximum possible number of columns that this expression might have. If this expression might have an arbitrarily high number of columns, this value is set to Dynamic. This value is useful to know when evaluating an expression, in order to determine whether it is possible to avoid doing a dynamic memory allocation. See also ColsAtCompileTime, MaxRowsAtCompileTime, MaxSizeAtCompileTime
MaxSizeAtCompileTime	This value is equal to the maximum possible number of coefficients that this expression might have. If this expression might have an arbitrarily high number of coefficients, this value is set to Dynamic. This value is useful to know when evaluating an expression, in order to determine whether it is possible to avoid doing a dynamic memory allocation. See also SizeAtCompileTime, MaxRowsAtCompileTime, MaxColsAtCompileTime
IsVectorAtCompileTime	This is set to true if either the number of rows or the number of columns is known at compile-time to be equal to 1. Indeed, in that case, we are dealing with a column-vector (if there is only one column) or with a row-vector (if there is only one row).
NumDimensions	This value is equal to Tensor::NumDimensions, i.e. 0 for scalars, 1 for vectors, and 2 for matrices.
Flags	This stores expression Flags flags which may or may not be inherited by new expressions constructed from this one. See the list of flags.
IsRowMajor	True if this expression has row-major storage order.
InnerSizeAtCompileTime
InnerStrideAtCompileTime
OuterStrideAtCompileTime

Definition at line 98 of file DenseBase.h.

◆ anonymous enum

template<typename Derived >

anonymous enum

Enumerator
IsPlainObjectBase

Definition at line 181 of file DenseBase.h.

Constructor & Destructor Documentation

◆ DenseBase() [1/4]

template<typename Derived >

EIGEN_DEVICE_FUNC Eigen::DenseBase< Derived >::DenseBase ( )

inlineprotected

Default constructor. Do nothing.

Definition at line 681 of file DenseBase.h.

◆ DenseBase() [2/4]

template<typename Derived >

EIGEN_DEVICE_FUNC Eigen::DenseBase< Derived >::DenseBase ( int )

explicitprivate

◆ DenseBase() [3/4]

template<typename Derived >

EIGEN_DEVICE_FUNC Eigen::DenseBase< Derived >::DenseBase	(	int	,
		int
	)

private

◆ DenseBase() [4/4]

template<typename Derived >

template<typename OtherDerived >

EIGEN_DEVICE_FUNC Eigen::DenseBase< Derived >::DenseBase ( const DenseBase< OtherDerived > & )

explicitprivate

Member Function Documentation

◆ all()

template<typename Derived >

EIGEN_DEVICE_FUNC bool Eigen::DenseBase< Derived >::all

inline

Returns: true if all coefficients are true

Example:

Vector3f boxMin(Vector3f::Zero()), boxMax(Vector3f::Ones());
Vector3f p0 = Vector3f::Random(), p1 = Vector3f::Random().cwiseAbs();
// let's check if p0 and p1 are inside the axis aligned box defined by the corners boxMin,boxMax:
cout << "Is (" << p0.transpose() << ") inside the box: "
     << ((boxMin.array()<p0.array()).all() && (boxMax.array()>p0.array()).all()) << endl;
cout << "Is (" << p1.transpose() << ") inside the box: "
     << ((boxMin.array()<p1.array()).all() && (boxMax.array()>p1.array()).all()) << endl;

Output:

See also: any(), Cwise::operator<()

Definition at line 79 of file BooleanRedux.h.

◆ allFinite()

template<typename Derived >

bool Eigen::DenseBase< Derived >::allFinite

inline

Returns: true if *this contains only finite numbers, i.e., no NaN and no +/-INF values.

See also: hasNaN()

Definition at line 151 of file BooleanRedux.h.

◆ any()

template<typename Derived >

EIGEN_DEVICE_FUNC bool Eigen::DenseBase< Derived >::any

inline

Returns: true if at least one coefficient is true

See also: all()

Definition at line 103 of file BooleanRedux.h.

◆ begin() [1/2]

template<typename Derived >

DenseBase< Derived >::const_iterator Eigen::DenseBase< Derived >::begin

inline

returns an iterator to the first element of the 1D vector or array \only_for_vectors

See also: end(), cbegin()

const version of begin()

Definition at line 408 of file StlIterators.h.

◆ begin() [2/2]

template<typename Derived >

const_iterator Eigen::DenseBase< Derived >::begin ( ) const

inline

◆ cbegin()

template<typename Derived >

DenseBase< Derived >::const_iterator Eigen::DenseBase< Derived >::cbegin

inline

returns a read-only const_iterator to the first element of the 1D vector or array \only_for_vectors

See also: cend(), begin()

Definition at line 426 of file StlIterators.h.

◆ cend()

template<typename Derived >

DenseBase< Derived >::const_iterator Eigen::DenseBase< Derived >::cend

inline

returns a read-only const_iterator to the element following the last element of the 1D vector or array \only_for_vectors

See also: begin(), cend()

Definition at line 455 of file StlIterators.h.

◆ colwise() [1/2]

template<typename Derived >

EIGEN_DEVICE_FUNC ColwiseReturnType Eigen::DenseBase< Derived >::colwise ( )

◆ colwise() [2/2]

template<typename Derived >

EIGEN_DEVICE_FUNC DenseBase< Derived >::ColwiseReturnType Eigen::DenseBase< Derived >::colwise

inline

Returns: a VectorwiseOp wrapper of *this broadcasting and partial reductions

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: rowwise(), class VectorwiseOp, TutorialReductionsVisitorsBroadcasting

Returns: a writable VectorwiseOp wrapper of *this providing additional partial reduction operations

See also: rowwise(), class VectorwiseOp, TutorialReductionsVisitorsBroadcasting

Definition at line 562 of file DenseBase.h.

◆ Constant() [1/3]

template<typename Derived >

EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE DenseBase< Derived >::ConstantReturnType Eigen::DenseBase< Derived >::Constant ( const Scalar & value )

static

Returns: an expression of a constant matrix of value value

This variant is only for fixed-size DenseBase types. For dynamic-size types, you need to use the variants taking size arguments.

The template parameter CustomNullaryOp is the type of the functor.

See also: class CwiseNullaryOp

Definition at line 227 of file CwiseNullaryOp.h.

◆ Constant() [2/3]

template<typename Derived >

EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE DenseBase< Derived >::ConstantReturnType Eigen::DenseBase< Derived >::Constant	(	Index	rows,
		Index	cols,
		const Scalar &	value
	)

static

Returns: an expression of a constant matrix of value value

The parameters rows and cols are the number of rows and of columns of the returned matrix. Must be compatible with this DenseBase type.

This variant is meant to be used for dynamic-size matrix types. For fixed-size types, it is redundant to pass rows and cols as arguments, so Zero() should be used instead.

The template parameter CustomNullaryOp is the type of the functor.

See also: class CwiseNullaryOp

Definition at line 189 of file CwiseNullaryOp.h.

◆ Constant() [3/3]

template<typename Derived >

EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE DenseBase< Derived >::ConstantReturnType Eigen::DenseBase< Derived >::Constant	(	Index	size,
		const Scalar &	value
	)

static

Returns: an expression of a constant matrix of value value

The parameter size is the size of the returned vector. Must be compatible with this DenseBase type.

\only_for_vectors

This variant is meant to be used for dynamic-size vector types. For fixed-size types, it is redundant to pass size as argument, so Zero() should be used instead.

The template parameter CustomNullaryOp is the type of the functor.

See also: class CwiseNullaryOp

Definition at line 211 of file CwiseNullaryOp.h.

◆ count()

template<typename Derived >

EIGEN_DEVICE_FUNC Eigen::Index Eigen::DenseBase< Derived >::count

inline

Returns: the number of coefficients which evaluate to true

See also: all(), any()

Definition at line 127 of file BooleanRedux.h.

◆ end() [1/2]

template<typename Derived >

DenseBase< Derived >::const_iterator Eigen::DenseBase< Derived >::end

inline

returns an iterator to the element following the last element of the 1D vector or array \only_for_vectors

See also: begin(), cend()

const version of end()

Definition at line 437 of file StlIterators.h.

◆ end() [2/2]

template<typename Derived >

const_iterator Eigen::DenseBase< Derived >::end ( ) const

inline

◆ eval()

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EvalReturnType Eigen::DenseBase< Derived >::eval ( ) const

inline

Returns: the matrix or vector obtained by evaluating this expression.

Notice that in the case of a plain matrix or vector (not an expression) this function just returns a const reference, in order to avoid a useless copy.

Warning: Be careful with eval() and the auto C++ keyword, as detailed in this page .

Definition at line 407 of file DenseBase.h.

◆ evalTo()

template<typename Derived >

template<typename Dest >

EIGEN_DEVICE_FUNC void Eigen::DenseBase< Derived >::evalTo ( Dest & ) const

inline

Definition at line 673 of file DenseBase.h.

◆ fill()

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void Eigen::DenseBase< Derived >::fill ( const Scalar & val )

Alias for setConstant(): sets all coefficients in this expression to val.

See also: setConstant(), Constant(), class CwiseNullaryOp

Definition at line 335 of file CwiseNullaryOp.h.

◆ flagged()

template<typename Derived >

template<unsigned int Added, unsigned int Removed>

const EIGEN_DEPRECATED Derived& Eigen::DenseBase< Derived >::flagged ( ) const

inline

Deprecated:: it now returns *this

Definition at line 317 of file DenseBase.h.

◆ forceAlignedAccess() [1/2]

template<typename Derived >

EIGEN_DEVICE_FUNC ForceAlignedAccess<Derived> Eigen::DenseBase< Derived >::forceAlignedAccess ( )

inline

◆ forceAlignedAccess() [2/2]

template<typename Derived >

const EIGEN_DEVICE_FUNC ForceAlignedAccess<Derived> Eigen::DenseBase< Derived >::forceAlignedAccess ( ) const

inline

◆ forceAlignedAccessIf() [1/2]

template<typename Derived >

template<bool Enable>

EIGEN_DEVICE_FUNC internal::conditional<Enable,ForceAlignedAccess<Derived>,Derived&>::type Eigen::DenseBase< Derived >::forceAlignedAccessIf ( )

inline

◆ forceAlignedAccessIf() [2/2]

template<typename Derived >

template<bool Enable>

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

inline

◆ format()

template<typename Derived >

const WithFormat<Derived> Eigen::DenseBase< Derived >::format ( const IOFormat & fmt ) const

inline

Returns: a WithFormat proxy object allowing to print a matrix the with given format fmt.

See class IOFormat for some examples.

See also: class IOFormat, class WithFormat

Definition at line 519 of file DenseBase.h.

◆ hasNaN()

template<typename Derived >

bool Eigen::DenseBase< Derived >::hasNaN

inline

Returns: true is *this contains at least one Not A Number (NaN).

See also: allFinite()

Definition at line 137 of file BooleanRedux.h.

◆ innerSize()

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index Eigen::DenseBase< Derived >::innerSize ( ) const

inline

Returns: the inner size.

Note: For a vector, this is just the size. For a matrix (non-vector), this is the minor dimension with respect to the storage order, i.e., the number of rows for a column-major matrix, and the number of columns for a row-major matrix.

Definition at line 235 of file DenseBase.h.

◆ isApprox()

template<typename Derived >

template<typename OtherDerived >

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

Returns: true if *this is approximately equal to other, within the precision determined by prec.

Note: The fuzzy compares are done multiplicatively. Two vectors and are considered to be approximately equal within precision if
$\Vert v - w \Vert \leqslant p\,\min(\Vert v\Vert, \Vert w\Vert).$
For matrices, the comparison is done using the Hilbert-Schmidt norm (aka Frobenius norm L2 norm).; Because of the multiplicativeness of this comparison, one can't use this function to check whether *this is approximately equal to the zero matrix or vector. Indeed, isApprox(zero) returns false unless *this itself is exactly the zero matrix or vector. If you want to test whether *this is zero, use internal::isMuchSmallerThan(const RealScalar&, RealScalar) instead.

See also: internal::isMuchSmallerThan(const RealScalar&, RealScalar) const

Definition at line 103 of file Fuzzy.h.

◆ isApproxToConstant()

template<typename Derived >

EIGEN_DEVICE_FUNC bool Eigen::DenseBase< Derived >::isApproxToConstant	(	const Scalar &	val,
		const RealScalar &	prec = `NumTraits<Scalar>::dummy_precision()`
	)		const

Returns: true if all coefficients in this matrix are approximately equal to val, to within precision prec

Definition at line 310 of file CwiseNullaryOp.h.

◆ isConstant()

template<typename Derived >

EIGEN_DEVICE_FUNC bool Eigen::DenseBase< Derived >::isConstant	(	const Scalar &	val,
		const RealScalar &	prec = `NumTraits<Scalar>::dummy_precision()`
	)		const

This is just an alias for isApproxToConstant().

Returns: true if all coefficients in this matrix are approximately equal to value, to within precision prec

Definition at line 325 of file CwiseNullaryOp.h.

◆ isMuchSmallerThan() [1/3]

template<typename Derived >

template<typename OtherDerived >

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

Returns: true if the norm of *this is much smaller than the norm of other, within the precision determined by prec.

Note: The fuzzy compares are done multiplicatively. A vector is considered to be much smaller than a vector within precision if
$\Vert v \Vert \leqslant p\,\Vert w\Vert.$
For matrices, the comparison is done using the Hilbert-Schmidt norm.

See also: isApprox(), isMuchSmallerThan(const RealScalar&, RealScalar) const

Definition at line 145 of file Fuzzy.h.

◆ isMuchSmallerThan() [2/3]

template<typename Derived >

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

◆ isMuchSmallerThan() [3/3]

template<typename Derived >

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

Returns: true if the norm of *this is much smaller than other, within the precision determined by prec.

Note: The fuzzy compares are done multiplicatively. A vector is considered to be much smaller than within precision if
$\Vert v \Vert \leqslant p\,\vert x\vert.$

For matrices, the comparison is done using the Hilbert-Schmidt norm. For this reason, the value of the reference scalar other should come from the Hilbert-Schmidt norm of a reference matrix of same dimensions.

See also: isApprox(), isMuchSmallerThan(const DenseBase<OtherDerived>&, RealScalar) const

Definition at line 125 of file Fuzzy.h.

◆ isOnes()

template<typename Derived >

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

Returns: true if *this is approximately equal to the matrix where all coefficients are equal to 1, within the precision given by prec.

Example:

Matrix3d m = Matrix3d::Ones();
m(0,2) += 1e-4;
cout << "Here's the matrix m:" << endl << m << endl;
cout << "m.isOnes() returns: " << m.isOnes() << endl;
cout << "m.isOnes(1e-3) returns: " << m.isOnes(1e-3) << endl;

Output:

See also: class CwiseNullaryOp, Ones()

Definition at line 685 of file CwiseNullaryOp.h.

◆ isZero()

template<typename Derived >

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

Returns: true if *this is approximately equal to the zero matrix, within the precision given by prec.

Example:

Matrix3d m = Matrix3d::Zero();
m(0,2) = 1e-4;
cout << "Here's the matrix m:" << endl << m << endl;
cout << "m.isZero() returns: " << m.isZero() << endl;
cout << "m.isZero(1e-3) returns: " << m.isZero(1e-3) << endl;

Output:

See also: class CwiseNullaryOp, Zero()

Definition at line 528 of file CwiseNullaryOp.h.

◆ lazyAssign() [1/2]

template<typename Derived >

template<typename OtherDerived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived& Eigen::DenseBase< Derived >::lazyAssign ( const DenseBase< OtherDerived > & other )

Definition at line 20 of file Assign.h.

◆ lazyAssign() [2/2]

template<typename Derived >

template<typename OtherDerived >

EIGEN_DEPRECATED EIGEN_DEVICE_FUNC Derived& Eigen::DenseBase< Derived >::lazyAssign ( const DenseBase< OtherDerived > & other )

Deprecated:

◆ LinSpaced() [1/4]

template<typename Derived >

EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE DenseBase< Derived >::RandomAccessLinSpacedReturnType Eigen::DenseBase< Derived >::LinSpaced	(	const Scalar &	low,
		const Scalar &	high
	)

static

Sets a linearly spaced vector.

The function generates 'size' equally spaced values in the closed interval [low,high]. When size is set to 1, a vector of length 1 containing 'high' is returned.

\only_for_vectors

Example:

cout << VectorXi::LinSpaced(4,7,10).transpose() << endl;

cout << VectorXd::LinSpaced(5,0.0,1.0).transpose() << endl;

Output:

For integer scalar types, an even spacing is possible if and only if the length of the range, i.e., high-low is a scalar multiple of size-1, or if size is a scalar multiple of the number of values high-low+1 (meaning each value can be repeated the same number of time). If one of these two considions is not satisfied, then high is lowered to the largest value satisfying one of this constraint. Here are some examples:

Example:

cout << "Even spacing inputs:" << endl;
cout << VectorXi::LinSpaced(8,1,4).transpose() << endl;
cout << VectorXi::LinSpaced(8,1,8).transpose() << endl;
cout << VectorXi::LinSpaced(8,1,15).transpose() << endl;
cout << "Uneven spacing inputs:" << endl;
cout << VectorXi::LinSpaced(8,1,7).transpose() << endl;
cout << VectorXi::LinSpaced(8,1,9).transpose() << endl;
cout << VectorXi::LinSpaced(8,1,16).transpose() << endl;

Output:

See also: setLinSpaced(Index,const Scalar&,const Scalar&), CwiseNullaryOp Special version for fixed size types which does not require the size parameter.

Definition at line 300 of file CwiseNullaryOp.h.

◆ LinSpaced() [2/4]

template<typename Derived >

EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE DenseBase< Derived >::RandomAccessLinSpacedReturnType Eigen::DenseBase< Derived >::LinSpaced	(	Index	size,
		const Scalar &	low,
		const Scalar &	high
	)

static

Sets a linearly spaced vector.

The function generates 'size' equally spaced values in the closed interval [low,high]. When size is set to 1, a vector of length 1 containing 'high' is returned.

\only_for_vectors

Example:

cout << VectorXi::LinSpaced(4,7,10).transpose() << endl;

cout << VectorXd::LinSpaced(5,0.0,1.0).transpose() << endl;

Output:

For integer scalar types, an even spacing is possible if and only if the length of the range, i.e., high-low is a scalar multiple of size-1, or if size is a scalar multiple of the number of values high-low+1 (meaning each value can be repeated the same number of time). If one of these two considions is not satisfied, then high is lowered to the largest value satisfying one of this constraint. Here are some examples:

Example:

cout << "Even spacing inputs:" << endl;
cout << VectorXi::LinSpaced(8,1,4).transpose() << endl;
cout << VectorXi::LinSpaced(8,1,8).transpose() << endl;
cout << VectorXi::LinSpaced(8,1,15).transpose() << endl;
cout << "Uneven spacing inputs:" << endl;
cout << VectorXi::LinSpaced(8,1,7).transpose() << endl;
cout << VectorXi::LinSpaced(8,1,9).transpose() << endl;
cout << VectorXi::LinSpaced(8,1,16).transpose() << endl;

Output:

See also: setLinSpaced(Index,const Scalar&,const Scalar&), CwiseNullaryOp

Definition at line 288 of file CwiseNullaryOp.h.

◆ LinSpaced() [3/4]

template<typename Derived >

EIGEN_DEPRECATED EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE DenseBase< Derived >::RandomAccessLinSpacedReturnType Eigen::DenseBase< Derived >::LinSpaced	(	Sequential_t	,
		const Scalar &	low,
		const Scalar &	high
	)

static

Deprecated:: because of accuracy loss. In Eigen 3.3, it is an alias for LinSpaced(const Scalar&,const Scalar&)

See also: LinSpaced(const Scalar&, const Scalar&)

Definition at line 256 of file CwiseNullaryOp.h.

◆ LinSpaced() [4/4]

template<typename Derived >

EIGEN_DEPRECATED EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE DenseBase< Derived >::RandomAccessLinSpacedReturnType Eigen::DenseBase< Derived >::LinSpaced	(	Sequential_t	,
		Index	size,
		const Scalar &	low,
		const Scalar &	high
	)

static

Deprecated:: because of accuracy loss. In Eigen 3.3, it is an alias for LinSpaced(Index,const Scalar&,const Scalar&)

\only_for_vectors

Example:

cout << VectorXi::LinSpaced(Sequential,4,7,10).transpose() << endl;

cout << VectorXd::LinSpaced(Sequential,5,0.0,1.0).transpose() << endl;

Output:

See also: LinSpaced(Index,const Scalar&, const Scalar&), setLinSpaced(Index,const Scalar&,const Scalar&)

Definition at line 244 of file CwiseNullaryOp.h.

◆ lpNorm()

template<typename Derived >

template<int p>

RealScalar Eigen::DenseBase< Derived >::lpNorm ( ) const

◆ maxCoeff() [1/6]

template<typename Derived >

template<int NaNPropagation>

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

◆ maxCoeff() [2/6]

template<typename Derived >

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

inline

Returns: the maximum of all coefficients of *this. In case *this contains NaN, NaNPropagation determines the behavior: NaNPropagation == PropagateFast : undefined NaNPropagation == PropagateNaN : result is NaN NaNPropagation == PropagateNumbers : result is maximum of elements that are not NaN

Warning: the matrix must be not empty, otherwise an assertion is triggered.

Definition at line 465 of file DenseBase.h.

◆ maxCoeff() [3/6]

template<typename Derived >

template<int NaNPropagation, typename IndexType >

EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar Eigen::DenseBase< Derived >::maxCoeff ( IndexType * index ) const

Returns: the maximum of all coefficients of *this and puts in *index its location.

In case *this contains NaN, NaNPropagation determines the behavior: NaNPropagation == PropagateFast : undefined NaNPropagation == PropagateNaN : result is NaN NaNPropagation == PropagateNumbers : result is maximum of elements that are not NaN

Warning: the matrix must be not empty, otherwise an assertion is triggered.

See also: DenseBase::maxCoeff(IndexType*,IndexType*), DenseBase::minCoeff(IndexType*,IndexType*), DenseBase::visitor(), DenseBase::maxCoeff()

Definition at line 368 of file Visitor.h.

◆ maxCoeff() [4/6]

template<typename Derived >

template<typename IndexType >

EIGEN_DEVICE_FUNC internal::traits<Derived>::Scalar Eigen::DenseBase< Derived >::maxCoeff ( IndexType * index ) const

inline

Definition at line 500 of file DenseBase.h.

◆ maxCoeff() [5/6]

template<typename Derived >

template<int NaNPropagation, typename IndexType >

EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar Eigen::DenseBase< Derived >::maxCoeff	(	IndexType *	rowId,
		IndexType *	colId
	)		const

Returns: the maximum of all coefficients of *this and puts in *row and *col its location.

In case *this contains NaN, NaNPropagation determines the behavior: NaNPropagation == PropagateFast : undefined NaNPropagation == PropagateNaN : result is NaN NaNPropagation == PropagateNumbers : result is maximum of elements that are not NaN

Warning: the matrix must be not empty, otherwise an assertion is triggered.

See also: DenseBase::minCoeff(IndexType*,IndexType*), DenseBase::visit(), DenseBase::maxCoeff()

Definition at line 343 of file Visitor.h.

◆ maxCoeff() [6/6]

template<typename Derived >

template<typename IndexType >

EIGEN_DEVICE_FUNC internal::traits<Derived>::Scalar Eigen::DenseBase< Derived >::maxCoeff	(	IndexType *	row,
		IndexType *	col
	)		const

inline

Definition at line 490 of file DenseBase.h.

◆ mean()

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE internal::traits< Derived >::Scalar Eigen::DenseBase< Derived >::mean

Returns: the mean of all coefficients of *this

See also: trace(), prod(), sum()

Definition at line 472 of file Redux.h.

◆ minCoeff() [1/6]

template<typename Derived >

template<int NaNPropagation>

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

◆ minCoeff() [2/6]

template<typename Derived >

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

inline

Returns: the minimum of all coefficients of *this. In case *this contains NaN, NaNPropagation determines the behavior: NaNPropagation == PropagateFast : undefined NaNPropagation == PropagateNaN : result is NaN NaNPropagation == PropagateNumbers : result is minimum of elements that are not NaN

Warning: the matrix must be not empty, otherwise an assertion is triggered.

Definition at line 462 of file DenseBase.h.

◆ minCoeff() [3/6]

template<typename Derived >

template<int NaNPropagation, typename IndexType >

EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar Eigen::DenseBase< Derived >::minCoeff ( IndexType * index ) const

Returns: the minimum of all coefficients of *this and puts in *index its location.

In case *this contains NaN, NaNPropagation determines the behavior: NaNPropagation == PropagateFast : undefined NaNPropagation == PropagateNaN : result is NaN NaNPropagation == PropagateNumbers : result is maximum of elements that are not NaN

Warning: the matrix must be not empty, otherwise an assertion is triggered.

See also: DenseBase::minCoeff(IndexType*,IndexType*), DenseBase::maxCoeff(IndexType*,IndexType*), DenseBase::visit(), DenseBase::minCoeff()

Definition at line 317 of file Visitor.h.

◆ minCoeff() [4/6]

template<typename Derived >

template<typename IndexType >

EIGEN_DEVICE_FUNC internal::traits<Derived>::Scalar Eigen::DenseBase< Derived >::minCoeff ( IndexType * index ) const

inline

Definition at line 495 of file DenseBase.h.

◆ minCoeff() [5/6]

template<typename Derived >

template<int NaNPropagation, typename IndexType >

EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar Eigen::DenseBase< Derived >::minCoeff	(	IndexType *	rowId,
		IndexType *	colId
	)		const

Returns: the minimum of all coefficients of *this and puts in *row and *col its location.

In case *this contains NaN, NaNPropagation determines the behavior: NaNPropagation == PropagateFast : undefined NaNPropagation == PropagateNaN : result is NaN NaNPropagation == PropagateNumbers : result is maximum of elements that are not NaN

Warning: the matrix must be not empty, otherwise an assertion is triggered.

See also: DenseBase::minCoeff(Index*), DenseBase::maxCoeff(Index*,Index*), DenseBase::visit(), DenseBase::minCoeff()

Definition at line 292 of file Visitor.h.

◆ minCoeff() [6/6]

template<typename Derived >

template<typename IndexType >

EIGEN_DEVICE_FUNC internal::traits<Derived>::Scalar Eigen::DenseBase< Derived >::minCoeff	(	IndexType *	row,
		IndexType *	col
	)		const

inline

Definition at line 485 of file DenseBase.h.

◆ nestByValue()

template<typename Derived >

const EIGEN_DEVICE_FUNC NestByValue< Derived > Eigen::DenseBase< Derived >::nestByValue

inline

Returns: an expression of the temporary version of *this.

Definition at line 63 of file NestByValue.h.

◆ nonZeros()

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index Eigen::DenseBase< Derived >::nonZeros ( ) const

inline

Returns: the number of nonzero coefficients which is in practice the number of stored coefficients.

Definition at line 215 of file DenseBase.h.

◆ NullaryExpr() [1/6]

template<typename Derived >

template<typename CustomNullaryOp >

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

Returns: an expression of a matrix defined by a custom functor func

This variant is only for fixed-size DenseBase types. For dynamic-size types, you need to use the variants taking size arguments.

The template parameter CustomNullaryOp is the type of the functor.

See also: class CwiseNullaryOp

Definition at line 169 of file CwiseNullaryOp.h.

◆ NullaryExpr() [2/6]

template<typename Derived >

template<typename CustomNullaryOp >

static const EIGEN_DEVICE_FUNC CwiseNullaryOp<CustomNullaryOp, PlainObject> Eigen::DenseBase< Derived >::NullaryExpr ( const CustomNullaryOp & func )

static

◆ NullaryExpr() [3/6]

template<typename Derived >

template<typename CustomNullaryOp >

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

Returns: an expression of a matrix defined by a custom functor func

The parameters rows and cols are the number of rows and of columns of the returned matrix. Must be compatible with this MatrixBase type.

This variant is meant to be used for dynamic-size matrix types. For fixed-size types, it is redundant to pass rows and cols as arguments, so Zero() should be used instead.

The template parameter CustomNullaryOp is the type of the functor.

See also: class CwiseNullaryOp

Definition at line 114 of file CwiseNullaryOp.h.

◆ NullaryExpr() [4/6]

template<typename Derived >

template<typename CustomNullaryOp >

static const EIGEN_DEVICE_FUNC CwiseNullaryOp<CustomNullaryOp, PlainObject> Eigen::DenseBase< Derived >::NullaryExpr	(	Index	rows,
		Index	cols,
		const CustomNullaryOp &	func
	)

static

◆ NullaryExpr() [5/6]

template<typename Derived >

template<typename CustomNullaryOp >

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

Returns: an expression of a matrix defined by a custom functor func

The parameter size is the size of the returned vector. Must be compatible with this MatrixBase type.

\only_for_vectors

This variant is meant to be used for dynamic-size vector types. For fixed-size types, it is redundant to pass size as argument, so Zero() should be used instead.

The template parameter CustomNullaryOp is the type of the functor.

Here is an example with C++11 random generators:

#include <Eigen/Core>
#include <iostream>
#include <random>
 
using namespace Eigen;
 
int main() {
  std::default_random_engine generator;
  std::poisson_distribution<int> distribution(4.1);
  auto poisson = [&] () {return distribution(generator);};
 
  RowVectorXi v = RowVectorXi::NullaryExpr(10, poisson );
  std::cout << v << "\n";
}

Output:

See also: class CwiseNullaryOp

Definition at line 145 of file CwiseNullaryOp.h.

◆ NullaryExpr() [6/6]

template<typename Derived >

template<typename CustomNullaryOp >

static const EIGEN_DEVICE_FUNC CwiseNullaryOp<CustomNullaryOp, PlainObject> Eigen::DenseBase< Derived >::NullaryExpr	(	Index	size,
		const CustomNullaryOp &	func
	)

static

◆ Ones() [1/3]

template<typename Derived >

EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE DenseBase< Derived >::ConstantReturnType Eigen::DenseBase< Derived >::Ones

static

Returns: an expression of a fixed-size matrix or vector where all coefficients equal one.

This variant is only for fixed-size MatrixBase types. For dynamic-size types, you need to use the variants taking size arguments.

Example:

cout << Matrix2d::Ones() << endl;

cout << 6 * RowVector4i::Ones() << endl;

Output:

See also: Ones(Index), Ones(Index,Index), isOnes(), class Ones

Definition at line 670 of file CwiseNullaryOp.h.

◆ Ones() [2/3]

template<typename Derived >

EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE DenseBase< Derived >::ConstantReturnType Eigen::DenseBase< Derived >::Ones	(	Index	rows,
		Index	cols
	)

static

Returns: an expression of a matrix where all coefficients equal one.

The parameters rows and cols are the number of rows and of columns of the returned matrix. Must be compatible with this MatrixBase type.

This variant is meant to be used for dynamic-size matrix types. For fixed-size types, it is redundant to pass rows and cols as arguments, so Ones() should be used instead.

Example:

cout << MatrixXi::Ones(2,3) << endl;

Output:

See also: Ones(), Ones(Index), isOnes(), class Ones

Definition at line 630 of file CwiseNullaryOp.h.

◆ Ones() [3/3]

template<typename Derived >

EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE DenseBase< Derived >::ConstantReturnType Eigen::DenseBase< Derived >::Ones ( Index newSize )

static

Returns: an expression of a vector where all coefficients equal one.

The parameter newSize is the size of the returned vector. Must be compatible with this MatrixBase type.

\only_for_vectors

This variant is meant to be used for dynamic-size vector types. For fixed-size types, it is redundant to pass size as argument, so Ones() should be used instead.

Example:

cout << 6 * RowVectorXi::Ones(4) << endl;

cout << VectorXf::Ones(2) << endl;

Output:

See also: Ones(), Ones(Index,Index), isOnes(), class Ones

Definition at line 653 of file CwiseNullaryOp.h.

◆ operator*=()

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & Eigen::DenseBase< Derived >::operator*= ( const Scalar & other )

Definition at line 18 of file SelfCwiseBinaryOp.h.

◆ operator+=()

template<typename Derived >

template<typename OtherDerived >

EIGEN_DEVICE_FUNC Derived & Eigen::DenseBase< Derived >::operator+= ( const EigenBase< OtherDerived > & other )

Definition at line 143 of file EigenBase.h.

◆ operator-=()

template<typename Derived >

template<typename OtherDerived >

EIGEN_DEVICE_FUNC Derived & Eigen::DenseBase< Derived >::operator-= ( const EigenBase< OtherDerived > & other )

Definition at line 152 of file EigenBase.h.

◆ operator/=()

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & Eigen::DenseBase< Derived >::operator/= ( const Scalar & other )

Definition at line 39 of file SelfCwiseBinaryOp.h.

◆ operator<<() [1/2]

template<typename Derived >

template<typename OtherDerived >

EIGEN_DEVICE_FUNC CommaInitializer< Derived > Eigen::DenseBase< Derived >::operator<< ( const DenseBase< OtherDerived > & other )

inline

See also: operator<<(const Scalar&)

Definition at line 157 of file CommaInitializer.h.

◆ operator<<() [2/2]

template<typename Derived >

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

inline

Convenient operator to set the coefficients of a matrix.

The coefficients must be provided in a row major order and exactly match the size of the matrix. Otherwise an assertion is raised.

Example:

Matrix3i m1;
m1 << 1, 2, 3,
      4, 5, 6,
      7, 8, 9;
cout << m1 << endl << endl;
Matrix3i m2 = Matrix3i::Identity();
m2.block(0,0, 2,2) << 10, 11, 12, 13;
cout << m2 << endl << endl;
Vector2i v1;
v1 << 14, 15;
m2 << v1.transpose(), 16,
      v1, m1.block(1,1,2,2);
cout << m2 << endl;

Output:

Note: According the c++ standard, the argument expressions of this comma initializer are evaluated in arbitrary order.

See also: CommaInitializer::finished(), class CommaInitializer

Definition at line 148 of file CommaInitializer.h.

◆ operator=() [1/4]

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & Eigen::DenseBase< Derived >::operator= ( const DenseBase< Derived > & other )

Special case of the template operator=, in order to prevent the compiler from generating a default operator= (issue hit with g++ 4.1)

Definition at line 47 of file Assign.h.

◆ operator=() [2/4]

template<typename Derived >

template<typename OtherDerived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & Eigen::DenseBase< Derived >::operator= ( const DenseBase< OtherDerived > & other )

Copies other into *this.

Returns: a reference to *this.

Definition at line 39 of file Assign.h.

◆ operator=() [3/4]

template<typename Derived >

template<typename OtherDerived >

EIGEN_DEVICE_FUNC Derived & Eigen::DenseBase< Derived >::operator= ( const EigenBase< OtherDerived > & other )

Copies the generic expression other into *this.

The expression must provide a (templated) evalTo(Derived& dst) const function which does the actual job. In practice, this allows any user to write its own special matrix without having to modify MatrixBase

Returns: a reference to *this.

Definition at line 134 of file EigenBase.h.

◆ operator=() [4/4]

template<typename Derived >

template<typename OtherDerived >

EIGEN_DEVICE_FUNC Derived & Eigen::DenseBase< Derived >::operator= ( const ReturnByValue< OtherDerived > & func )

Definition at line 84 of file ReturnByValue.h.

◆ outerSize()

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index Eigen::DenseBase< Derived >::outerSize ( ) const

inline

Returns: the outer size.

Note: For a vector, this returns just 1. For a matrix (non-vector), this is the major dimension with respect to the storage order, i.e., the number of columns for a column-major matrix, and the number of rows for a row-major matrix.

Definition at line 223 of file DenseBase.h.

◆ prod()

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE internal::traits< Derived >::Scalar Eigen::DenseBase< Derived >::prod

Returns: the product of all coefficients of *this

Example:

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

Output:

See also: sum(), mean(), trace()

Definition at line 493 of file Redux.h.

◆ Random() [1/3]

template<typename Derived >

const DenseBase< Derived >::RandomReturnType Eigen::DenseBase< Derived >::Random

inlinestatic

Returns: a fixed-size random matrix or vector expression

Numbers are uniformly spread through their whole definition range for integer types, and in the [-1:1] range for floating point scalar types.

This variant is only for fixed-size MatrixBase types. For dynamic-size types, you need to use the variants taking size arguments.

Example:

cout << 100 * Matrix2i::Random() << endl;

Output:

This expression has the "evaluate before nesting" flag so that it will be evaluated into a temporary matrix whenever it is nested in a larger expression. This prevents unexpected behavior with expressions involving random matrices.

\not_reentrant

See also: DenseBase::setRandom(), DenseBase::Random(Index,Index), DenseBase::Random(Index)

Definition at line 113 of file Random.h.

◆ Random() [2/3]

template<typename Derived >

const DenseBase< Derived >::RandomReturnType Eigen::DenseBase< Derived >::Random	(	Index	rows,
		Index	cols
	)

inlinestatic

Returns: a random matrix expression

Numbers are uniformly spread through their whole definition range for integer types, and in the [-1:1] range for floating point scalar types.

The parameters rows and cols are the number of rows and of columns of the returned matrix. Must be compatible with this MatrixBase type.

\not_reentrant

This variant is meant to be used for dynamic-size matrix types. For fixed-size types, it is redundant to pass rows and cols as arguments, so Random() should be used instead.

Example:

cout << MatrixXi::Random(2,3) << endl;

Output:

This expression has the "evaluate before nesting" flag so that it will be evaluated into a temporary matrix whenever it is nested in a larger expression. This prevents unexpected behavior with expressions involving random matrices.

See DenseBase::NullaryExpr(Index, const CustomNullaryOp&) for an example using C++11 random generators.

See also: DenseBase::setRandom(), DenseBase::Random(Index), DenseBase::Random()

Definition at line 56 of file Random.h.

◆ Random() [3/3]

template<typename Derived >

const DenseBase< Derived >::RandomReturnType Eigen::DenseBase< Derived >::Random ( Index size )

inlinestatic

Returns: a random vector expression

Numbers are uniformly spread through their whole definition range for integer types, and in the [-1:1] range for floating point scalar types.

The parameter size is the size of the returned vector. Must be compatible with this MatrixBase type.

\only_for_vectors \not_reentrant

This variant is meant to be used for dynamic-size vector types. For fixed-size types, it is redundant to pass size as argument, so Random() should be used instead.

Example:

cout << VectorXi::Random(2) << endl;

Output:

This expression has the "evaluate before nesting" flag so that it will be evaluated into a temporary vector whenever it is nested in a larger expression. This prevents unexpected behavior with expressions involving random matrices.

See also: DenseBase::setRandom(), DenseBase::Random(Index,Index), DenseBase::Random()

Definition at line 87 of file Random.h.

◆ redux() [1/2]

template<typename Derived >

template<typename BinaryOp >

EIGEN_DEVICE_FUNC Scalar Eigen::DenseBase< Derived >::redux ( const BinaryOp & func ) const

◆ redux() [2/2]

template<typename Derived >

template<typename Func >

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

Returns: the result of a full redux operation on the whole matrix or vector using func

The template parameter BinaryOp is the type of the functor func which must be an associative operator. Both current C++98 and C++11 functor styles are handled.

Warning: the matrix must be not empty, otherwise an assertion is triggered.

See also: DenseBase::sum(), DenseBase::minCoeff(), DenseBase::maxCoeff(), MatrixBase::colwise(), MatrixBase::rowwise()

Definition at line 409 of file Redux.h.

◆ replicate() [1/2]

template<typename Derived >

template<int RowFactor, int ColFactor>

const EIGEN_DEVICE_FUNC Replicate< Derived, RowFactor, ColFactor > Eigen::DenseBase< Derived >::replicate

Returns: an expression of the replication of *this

Example:

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

Output:

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

Definition at line 119 of file Replicate.h.

◆ replicate() [2/2]

template<typename Derived >

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

inline

Returns: an expression of the replication of *this

Example:

Vector3i v = Vector3i::Random();
cout << "Here is the vector v:" << endl << v << endl;
cout << "v.replicate(2,5) = ..." << endl;
cout << v.replicate(2,5) << endl;

Output:

See also: VectorwiseOp::replicate(), DenseBase::replicate<int,int>(), class Replicate

Definition at line 600 of file DenseBase.h.

◆ resize() [1/2]

template<typename Derived >

EIGEN_DEVICE_FUNC void Eigen::DenseBase< Derived >::resize ( Index newSize )

inline

Only plain matrices/arrays, not expressions, may be resized; therefore the only useful resize methods are Matrix::resize() and Array::resize(). The present method only asserts that the new size equals the old size, and does nothing else.

Definition at line 246 of file DenseBase.h.

◆ resize() [2/2]

template<typename Derived >

EIGEN_DEVICE_FUNC void Eigen::DenseBase< Derived >::resize	(	Index	rows,
		Index	cols
	)

inline

Only plain matrices/arrays, not expressions, may be resized; therefore the only useful resize methods are Matrix::resize() and Array::resize(). The present method only asserts that the new size equals the old size, and does nothing else.

Definition at line 257 of file DenseBase.h.

◆ reverse() [1/2]

template<typename Derived >

EIGEN_DEVICE_FUNC DenseBase< Derived >::ReverseReturnType Eigen::DenseBase< Derived >::reverse

inline

Returns: an expression of the reverse of *this.

Example:

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

Output:

Definition at line 120 of file Reverse.h.

◆ reverse() [2/2]

template<typename Derived >

EIGEN_DEVICE_FUNC ConstReverseReturnType Eigen::DenseBase< Derived >::reverse ( ) const

inline

This is the const version of reverse().

Definition at line 610 of file DenseBase.h.

◆ reverseInPlace()

template<typename Derived >

EIGEN_DEVICE_FUNC void Eigen::DenseBase< Derived >::reverseInPlace

inline

This is the "in place" version of reverse: it reverses *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
it allows future optimizations (cache friendliness, etc.)

See also: VectorwiseOp::reverseInPlace(), reverse()

Definition at line 141 of file Reverse.h.

◆ rowwise() [1/2]

template<typename Derived >

EIGEN_DEVICE_FUNC RowwiseReturnType Eigen::DenseBase< Derived >::rowwise ( )

◆ rowwise() [2/2]

template<typename Derived >

EIGEN_DEVICE_FUNC DenseBase< Derived >::RowwiseReturnType Eigen::DenseBase< Derived >::rowwise

inline

Returns: a VectorwiseOp wrapper of *this for broadcasting and partial reductions

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;
cout << "Here is the maximum absolute value of each row:"
     << endl << m.cwiseAbs().rowwise().maxCoeff() << endl;

Output:

See also: colwise(), class VectorwiseOp, TutorialReductionsVisitorsBroadcasting

Returns: a writable VectorwiseOp wrapper of *this providing additional partial reduction operations

See also: colwise(), class VectorwiseOp, TutorialReductionsVisitorsBroadcasting

Definition at line 550 of file DenseBase.h.

◆ select() [1/3]

template<typename Derived >

template<typename ThenDerived , typename ElseDerived >

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

inline

Returns: a matrix where each coefficient (i,j) is equal to thenMatrix(i,j) if *this(i,j), and elseMatrix(i,j) otherwise.

Example:

MatrixXi m(3, 3);
m << 1, 2, 3,
     4, 5, 6,
     7, 8, 9;
m = (m.array() >= 5).select(-m, m);
cout << m << endl;

Output:

See also: class Select

Definition at line 126 of file Select.h.

◆ select() [2/3]

template<typename Derived >

template<typename ThenDerived >

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

inline

Version of DenseBase::select(const DenseBase&, const DenseBase&) with the else expression being a scalar value.

See also: DenseBase::select(const DenseBase<ThenDerived>&, const DenseBase<ElseDerived>&) const, class Select

Definition at line 140 of file Select.h.

◆ select() [3/3]

template<typename Derived >

template<typename ElseDerived >

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

inline

Version of DenseBase::select(const DenseBase&, const DenseBase&) with the then expression being a scalar value.

See also: DenseBase::select(const DenseBase<ThenDerived>&, const DenseBase<ElseDerived>&) const, class Select

Definition at line 155 of file Select.h.

◆ setConstant()

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & Eigen::DenseBase< Derived >::setConstant ( const Scalar & val )

Sets all coefficients in this expression to value val.

See also: fill(), setConstant(Index,const Scalar&), setConstant(Index,Index,const Scalar&), setZero(), setOnes(), Constant(), class CwiseNullaryOp, setZero(), setOnes()

Definition at line 345 of file CwiseNullaryOp.h.

◆ setLinSpaced() [1/2]

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & Eigen::DenseBase< Derived >::setLinSpaced	(	const Scalar &	low,
		const Scalar &	high
	)

Sets a linearly spaced vector.

The function fills *this with equally spaced values in the closed interval [low,high]. When size is set to 1, a vector of length 1 containing 'high' is returned.

\only_for_vectors

For integer scalar types, do not miss the explanations on the definition of even spacing .

See also: LinSpaced(Index,const Scalar&,const Scalar&), setLinSpaced(Index, const Scalar&, const Scalar&), CwiseNullaryOp

Definition at line 450 of file CwiseNullaryOp.h.

◆ setLinSpaced() [2/2]

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & Eigen::DenseBase< Derived >::setLinSpaced	(	Index	newSize,
		const Scalar &	low,
		const Scalar &	high
	)

Sets a linearly spaced vector.

The function generates 'size' equally spaced values in the closed interval [low,high]. When size is set to 1, a vector of length 1 containing 'high' is returned.

\only_for_vectors

Example:

VectorXf v;
v.setLinSpaced(5,0.5f,1.5f);
cout << v << endl;

Output:

For integer scalar types, do not miss the explanations on the definition of even spacing .

See also: LinSpaced(Index,const Scalar&,const Scalar&), CwiseNullaryOp

Definition at line 430 of file CwiseNullaryOp.h.

◆ setOnes()

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & Eigen::DenseBase< Derived >::setOnes

Sets all coefficients in this expression to one.

Example:

Matrix4i m = Matrix4i::Random();
m.row(1).setOnes();
cout << m << endl;

Output:

See also: class CwiseNullaryOp, Ones()

Definition at line 698 of file CwiseNullaryOp.h.

◆ setRandom()

template<typename Derived >

EIGEN_DEVICE_FUNC Derived & Eigen::DenseBase< Derived >::setRandom

inline

Sets all coefficients in this expression to random values.

Numbers are uniformly spread through their whole definition range for integer types, and in the [-1:1] range for floating point scalar types.

\not_reentrant

Example:

Matrix4i m = Matrix4i::Zero();
m.col(1).setRandom();
cout << m << endl;

Output:

See also: class CwiseNullaryOp, setRandom(Index), setRandom(Index,Index)

Definition at line 131 of file Random.h.

◆ setZero()

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & Eigen::DenseBase< Derived >::setZero

Sets all coefficients in this expression to zero.

Example:

Matrix4i m = Matrix4i::Random();
m.row(1).setZero();
cout << m << endl;

Output:

See also: class CwiseNullaryOp, Zero()

Definition at line 546 of file CwiseNullaryOp.h.

◆ sum()

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE internal::traits< Derived >::Scalar Eigen::DenseBase< Derived >::sum

Returns: the sum of all coefficients of *this

If *this is empty, then the value 0 is returned.

See also: trace(), prod(), mean()

Definition at line 459 of file Redux.h.

◆ swap() [1/2]

template<typename Derived >

template<typename OtherDerived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void Eigen::DenseBase< Derived >::swap ( const DenseBase< OtherDerived > & other )

inline

swaps *this with the expression other.

Definition at line 420 of file DenseBase.h.

◆ swap() [2/2]

template<typename Derived >

template<typename OtherDerived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void Eigen::DenseBase< Derived >::swap ( PlainObjectBase< OtherDerived > & other )

inline

swaps *this with the matrix or array other.

Definition at line 432 of file DenseBase.h.

◆ trace()

template<typename Derived >

EIGEN_DEVICE_FUNC Scalar Eigen::DenseBase< Derived >::trace ( ) const

◆ transpose() [1/2]

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE DenseBase< Derived >::ConstTransposeReturnType Eigen::DenseBase< Derived >::transpose

Returns: an expression of the transpose of *this.

Example:

Matrix2i m = Matrix2i::Random();
cout << "Here is the matrix m:" << endl << m << endl;
cout << "Here is the transpose of m:" << endl << m.transpose() << endl;
cout << "Here is the coefficient (1,0) in the transpose of m:" << endl
     << m.transpose()(1,0) << endl;
cout << "Let us overwrite this coefficient with the value 0." << endl;
m.transpose()(1,0) = 0;
cout << "Now the matrix m is:" << endl << m << endl;

Output:

Warning: If you want to replace a matrix by its own transpose, do NOT do this:
m = m.transpose(); // bug!!! caused by aliasing effect

Instead, use the transposeInPlace() method:
m.transposeInPlace();

which gives Eigen good opportunities for optimization, or alternatively you can also do:
m = m.transpose().eval();

See also: transposeInPlace(), adjoint()

This is the const version of transpose().

Make sure you read the warning for transpose() !

See also: transposeInPlace(), adjoint()

Definition at line 182 of file Transpose.h.

◆ transpose() [2/2]

template<typename Derived >

EIGEN_DEVICE_FUNC ConstTransposeReturnType Eigen::DenseBase< Derived >::transpose ( ) const

◆ transposeInPlace()

template<typename Derived >

EIGEN_DEVICE_FUNC void Eigen::DenseBase< Derived >::transposeInPlace

inline

This is the "in place" version of transpose(): it replaces *this by its own transpose. Thus, doing

m.transposeInPlace();

has the same effect on m as doing

m = m.transpose().eval();

and is faster and also safer because in the latter line of code, forgetting the eval() results in a bug caused by aliasing.

Notice however that this method is only useful if you want to replace a matrix by its own transpose. If you just need the transpose of a matrix, use transpose().

Note: if the matrix is not square, then *this must be a resizable matrix. This excludes (non-square) fixed-size matrices, block-expressions and maps.

See also: transpose(), adjoint(), adjointInPlace()

Definition at line 344 of file Transpose.h.

◆ value()

template<typename Derived >

EIGEN_DEVICE_FUNC CoeffReturnType Eigen::DenseBase< Derived >::value ( ) const

inline

Returns: the unique coefficient of a 1x1 expression

Definition at line 526 of file DenseBase.h.

◆ visit()

template<typename Derived >

template<typename Visitor >

EIGEN_DEVICE_FUNC void Eigen::DenseBase< Derived >::visit ( Visitor & visitor ) const

Applies the visitor visitor to the whole coefficients of the matrix or vector.

The template parameter Visitor is the type of the visitor and provides the following interface:

struct MyVisitor {
  // called for the first coefficient
  void init(const Scalar& value, Index i, Index j);
  // called for all other coefficients
  void operator() (const Scalar& value, Index i, Index j);
};

Note: compared to one or two for loops, visitors offer automatic unrolling for small fixed size matrix.; if the matrix is empty, then the visitor is left unchanged.

See also: minCoeff(Index*,Index*), maxCoeff(Index*,Index*), DenseBase::redux()

Definition at line 117 of file Visitor.h.

◆ Zero() [1/3]

template<typename Derived >

EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE DenseBase< Derived >::ConstantReturnType Eigen::DenseBase< Derived >::Zero

static

Returns: an expression of a fixed-size zero matrix or vector.

This variant is only for fixed-size MatrixBase types. For dynamic-size types, you need to use the variants taking size arguments.

Example:

cout << Matrix2d::Zero() << endl;

cout << RowVector4i::Zero() << endl;

Output:

See also: Zero(Index), Zero(Index,Index)

Definition at line 514 of file CwiseNullaryOp.h.

◆ Zero() [2/3]

template<typename Derived >

EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE DenseBase< Derived >::ConstantReturnType Eigen::DenseBase< Derived >::Zero	(	Index	rows,
		Index	cols
	)

static

Returns: an expression of a zero matrix.

The parameters rows and cols are the number of rows and of columns of the returned matrix. Must be compatible with this MatrixBase type.

This variant is meant to be used for dynamic-size matrix types. For fixed-size types, it is redundant to pass rows and cols as arguments, so Zero() should be used instead.

Example:

cout << MatrixXi::Zero(2,3) << endl;

Output:

See also: Zero(), Zero(Index)

Definition at line 474 of file CwiseNullaryOp.h.

◆ Zero() [3/3]

template<typename Derived >

EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE DenseBase< Derived >::ConstantReturnType Eigen::DenseBase< Derived >::Zero ( Index size )

static

Returns: an expression of a zero vector.

The parameter size is the size of the returned vector. Must be compatible with this MatrixBase type.

\only_for_vectors

This variant is meant to be used for dynamic-size vector types. For fixed-size types, it is redundant to pass size as argument, so Zero() should be used instead.

Example:

cout << RowVectorXi::Zero(4) << endl;

cout << VectorXf::Zero(2) << endl;

Output:

See also: Zero(), Zero(Index,Index)

Definition at line 497 of file CwiseNullaryOp.h.

Friends And Related Function Documentation

◆ operator<<()

template<typename Derived >

std::ostream & operator<<	(	std::ostream &	s,
		const DenseBase< Derived > &	m
	)

If you wish to print the matrix with a format different than the default, use DenseBase::format().

It is also possible to change the default format by defining EIGEN_DEFAULT_IO_FORMAT before including Eigen headers. If not defined, this will automatically be defined to Eigen::IOFormat(), that is the Eigen::IOFormat with default parameters.

See also: DenseBase::format()

Definition at line 250 of file IO.h.

Member Data Documentation

◆ ConstColwiseReturnType

template<typename Derived >

const typedef VectorwiseOp<const Derived, Vertical> Eigen::DenseBase< Derived >::ConstColwiseReturnType

Definition at line 540 of file DenseBase.h.

◆ ConstReverseReturnType

template<typename Derived >

const typedef Reverse<const Derived, BothDirections> Eigen::DenseBase< Derived >::ConstReverseReturnType

Definition at line 606 of file DenseBase.h.

◆ ConstRowwiseReturnType

template<typename Derived >

const typedef VectorwiseOp<const Derived, Horizontal> Eigen::DenseBase< Derived >::ConstRowwiseReturnType

Definition at line 538 of file DenseBase.h.

◆ SequentialLinSpacedReturnType

template<typename Derived >

EIGEN_DEPRECATED typedef CwiseNullaryOp<internal::linspaced_op<Scalar>,PlainObject> Eigen::DenseBase< Derived >::SequentialLinSpacedReturnType

Definition at line 269 of file DenseBase.h.

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

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Protected Member Functions

Private Member Functions

Related Functions

Detailed Description

template<typename Derived> class Eigen::DenseBase< Derived >

Member Typedef Documentation

◆ Base

◆ CoeffReturnType

◆ ColwiseReturnType

◆ const_iterator

◆ const_iterator_type

◆ ConstantReturnType

◆ ConstTransposeReturnType

◆ EigenvaluesReturnType

◆ EvalReturnType

◆ InnerIterator

◆ iterator

◆ iterator_type

◆ PacketScalar

◆ PlainArray

◆ PlainMatrix

◆ PlainObject

◆ RandomAccessLinSpacedReturnType

◆ RandomReturnType

◆ RealScalar

◆ ReverseReturnType

◆ RowwiseReturnType

◆ Scalar

◆ StorageIndex

◆ StorageKind

◆ TransposeReturnType

◆ value_type

Member Enumeration Documentation

◆ anonymous enum

◆ anonymous enum

Constructor & Destructor Documentation

◆ DenseBase() [1/4]

◆ DenseBase() [2/4]

◆ DenseBase() [3/4]

◆ DenseBase() [4/4]

Member Function Documentation

◆ all()

◆ allFinite()

◆ any()

◆ begin() [1/2]

◆ begin() [2/2]

◆ cbegin()

◆ cend()

◆ colwise() [1/2]

◆ colwise() [2/2]

◆ Constant() [1/3]

◆ Constant() [2/3]

◆ Constant() [3/3]

◆ count()

◆ end() [1/2]

◆ end() [2/2]

◆ eval()

◆ evalTo()

◆ fill()

◆ flagged()

◆ forceAlignedAccess() [1/2]

◆ forceAlignedAccess() [2/2]

◆ forceAlignedAccessIf() [1/2]

◆ forceAlignedAccessIf() [2/2]

◆ format()

◆ hasNaN()

◆ innerSize()

◆ isApprox()

◆ isApproxToConstant()

◆ isConstant()

◆ isMuchSmallerThan() [1/3]

◆ isMuchSmallerThan() [2/3]

◆ isMuchSmallerThan() [3/3]

◆ isOnes()

◆ isZero()

◆ lazyAssign() [1/2]

template<typename Derived>
class Eigen::DenseBase< Derived >