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Eigen::ArrayBase

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

Base class for all 1D and 2D array, and related expressions.

An array is similar to a dense vector or matrix. While matrices are mathematical objects with well defined linear algebra operators, an array is just a collection of scalar values arranged in a one or two dimensionnal fashion. As the main consequence, all operations applied to an array are performed coefficient wise. Furthermore, arrays support scalar math functions of the c++ standard library (e.g., std::sin(x)), and convenient constructors allowing to easily write generic code working for both scalar values and arrays.

This class is the base that is inherited by all array expression types.

Template Parameters

Derived

is the derived type, e.g., an array or an expression type.

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_ARRAYBASE_PLUGIN.

See also: class MatrixBase, The class hierarchy


MatrixWrapper< Derived >	matrix ()

template<typename OtherDerived >
Derived &	operator*= (const ArrayBase< OtherDerived > &other)

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

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

template<typename OtherDerived >
Derived &	operator/= (const ArrayBase< OtherDerived > &other)

Derived &	operator= (const ArrayBase &other)

Derived &	operator= (const Scalar &value)

Public Member Functions inherited from Eigen::DenseBase< Derived >
bool	all () const

bool	allFinite () const

bool	any () const

iterator	begin ()

const_iterator	begin () const

const_iterator	cbegin () const

const_iterator	cend () const

ColwiseReturnType	colwise ()

ConstColwiseReturnType	colwise () const

Index	count () const

iterator	end ()

const_iterator	end () const

EvalReturnType	eval () const

void	fill (const Scalar &value)

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

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

bool	hasNaN () const

EIGEN_CONSTEXPR Index	innerSize () const

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

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

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

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

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

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

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

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

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

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

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

Scalar	mean () const

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

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

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

const NestByValue< Derived >	nestByValue () const

EIGEN_CONSTEXPR Index	nonZeros () const

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

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

Derived &	operator= (const DenseBase &other)

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

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

EIGEN_CONSTEXPR Index	outerSize () const

Scalar	prod () const

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

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

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

void	resize (Index newSize)

void	resize (Index rows, Index cols)

ReverseReturnType	reverse ()

ConstReverseReturnType	reverse () const

void	reverseInPlace ()

RowwiseReturnType	rowwise ()

ConstRowwiseReturnType	rowwise () const

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

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

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

Derived &	setConstant (const Scalar &value)

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

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

Derived &	setOnes ()

Derived &	setRandom ()

Derived &	setZero ()

Scalar	sum () const

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

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

TransposeReturnType	transpose ()

ConstTransposeReturnType	transpose () const

void	transposeInPlace ()

CoeffReturnType	value () const

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

Public Member Functions inherited from Eigen::DenseCoeffsBase< Derived, DirectWriteAccessors >
EIGEN_CONSTEXPR Index	cols () const EIGEN_NOEXCEPT

EIGEN_CONSTEXPR Index	colStride () const EIGEN_NOEXCEPT

Derived &	derived ()

const Derived &	derived () const

EIGEN_CONSTEXPR Index	innerStride () const EIGEN_NOEXCEPT

EIGEN_CONSTEXPR Index	outerStride () const EIGEN_NOEXCEPT

EIGEN_CONSTEXPR Index	rows () const EIGEN_NOEXCEPT

EIGEN_CONSTEXPR Index	rowStride () const EIGEN_NOEXCEPT

EIGEN_CONSTEXPR Index	size () const EIGEN_NOEXCEPT

Public Member Functions inherited from Eigen::DenseCoeffsBase< Derived, WriteAccessors >
Scalar &	coeffRef (Index index)

Scalar &	coeffRef (Index row, Index col)

EIGEN_CONSTEXPR Index	cols () const EIGEN_NOEXCEPT

Derived &	derived ()

const Derived &	derived () const

Scalar &	operator() (Index index)

Scalar &	operator() (Index row, Index col)

Scalar &	operator[] (Index index)

EIGEN_CONSTEXPR Index	rows () const EIGEN_NOEXCEPT

EIGEN_CONSTEXPR Index	size () const EIGEN_NOEXCEPT

Scalar &	w ()

Scalar &	x ()

Scalar &	y ()

Scalar &	z ()

Public Member Functions inherited from Eigen::DenseCoeffsBase< Derived, ReadOnlyAccessors >
CoeffReturnType	coeff (Index index) const

CoeffReturnType	coeff (Index row, Index col) const

EIGEN_CONSTEXPR Index	cols () const EIGEN_NOEXCEPT

Derived &	derived ()

const Derived &	derived () const

CoeffReturnType	operator() (Index index) const

CoeffReturnType	operator() (Index row, Index col) const

CoeffReturnType	operator[] (Index index) const

EIGEN_CONSTEXPR Index	rows () const EIGEN_NOEXCEPT

EIGEN_CONSTEXPR Index	size () const EIGEN_NOEXCEPT

CoeffReturnType	w () const

CoeffReturnType	x () const

CoeffReturnType	y () const

CoeffReturnType	z () const

Public Member Functions inherited from Eigen::EigenBase< Derived >
EIGEN_CONSTEXPR Index	cols () const EIGEN_NOEXCEPT

Derived &	derived ()

const Derived &	derived () const

EIGEN_CONSTEXPR Index	rows () const EIGEN_NOEXCEPT

EIGEN_CONSTEXPR Index	size () const EIGEN_NOEXCEPT


(Note that these are not member functions.)
template<typename Derived , typename ExponentDerived >
const Eigen::CwiseBinaryOp< Eigen::internal::scalar_pow_op< typename Derived::Scalar, typename ExponentDerived::Scalar >, const Derived, const ExponentDerived >	pow (const Eigen::ArrayBase< Derived > &x, const Eigen::ArrayBase< ExponentDerived > &exponents)

template<typename Derived , typename ScalarExponent >
const CwiseBinaryOp< internal::scalar_pow_op< Derived::Scalar, ScalarExponent >, Derived, Constant< ScalarExponent > >	pow (const Eigen::ArrayBase< Derived > &x, const ScalarExponent &exponent)

template<typename Scalar , typename Derived >
const CwiseBinaryOp< internal::scalar_pow_op< Scalar, Derived::Scalar >, Constant< Scalar >, Derived >	pow (const Scalar &x, const Eigen::ArrayBase< Derived > &x)

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


Public Types inherited from Eigen::DenseBase< Derived >
enum	{ RowsAtCompileTime , ColsAtCompileTime , SizeAtCompileTime , MaxRowsAtCompileTime , MaxColsAtCompileTime , MaxSizeAtCompileTime , IsVectorAtCompileTime , NumDimensions , Flags , IsRowMajor , InnerSizeAtCompileTime , InnerStrideAtCompileTime , OuterStrideAtCompileTime }

typedef random_access_iterator_type	const_iterator

typedef random_access_iterator_type	iterator

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 internal::traits< Derived >::Scalar	Scalar

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

typedef Scalar	value_type

Public Types inherited from Eigen::EigenBase< Derived >
typedef Eigen::Index	Index
	The interface type of indices. More...

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

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

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

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

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

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

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

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

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

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

static const ConstantReturnType	Ones ()

static const ConstantReturnType	Ones (Index rows, Index cols)

static const ConstantReturnType	Ones (Index size)

static const RandomReturnType	Random ()

static const RandomReturnType	Random (Index rows, Index cols)

static const RandomReturnType	Random (Index size)

static const ConstantReturnType	Zero ()

static const ConstantReturnType	Zero (Index rows, Index cols)

static const ConstantReturnType	Zero (Index size)

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

matrix()

template<typename Derived >

MatrixWrapper<Derived> Eigen::ArrayBase< Derived >::matrix

(

)

inline

Returns: an Matrix expression of this array

See also: MatrixBase::array()

operator*=()

template<typename Derived >

template<typename OtherDerived >

Derived & Eigen::ArrayBase< Derived >::operator*=

(

const ArrayBase< OtherDerived > &

other

)

inline

replaces *this by *this * other coefficient wise.

Returns: a reference to *this

operator+=()

template<typename Derived >

template<typename OtherDerived >

Derived & Eigen::ArrayBase< Derived >::operator+=

(

const ArrayBase< OtherDerived > &

other

)

inline

replaces *this by *this + other.

Returns: a reference to *this

operator-=()

template<typename Derived >

template<typename OtherDerived >

Derived & Eigen::ArrayBase< Derived >::operator-=

(

const ArrayBase< OtherDerived > &

other

)

inline

replaces *this by *this - other.

Returns: a reference to *this

operator/=()

template<typename Derived >

template<typename OtherDerived >

Derived & Eigen::ArrayBase< Derived >::operator/=

(

const ArrayBase< OtherDerived > &

other

)

inline

replaces *this by *this / other coefficient wise.

Returns: a reference to *this

operator=() [1/2]

template<typename Derived >

Derived& Eigen::ArrayBase< Derived >::operator=

(

const ArrayBase< Derived > &

other

)

inline

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

operator=() [2/2]

template<typename Derived >

Derived& Eigen::ArrayBase< Derived >::operator=

(

const Scalar &

value

)

inline

Set all the entries to value.

See also: DenseBase::setConstant(), DenseBase::fill()

pow() [1/3]

template<typename Derived , typename ExponentDerived >

const Eigen::CwiseBinaryOp< Eigen::internal::scalar_pow_op< typename Derived::Scalar, typename ExponentDerived::Scalar >, const Derived, const ExponentDerived > pow	(	const Eigen::ArrayBase< Derived > &	x,
		const Eigen::ArrayBase< ExponentDerived > &	exponents
	)

Returns: an expression of the coefficient-wise power of x to the given array of exponents.

This function computes the coefficient-wise power.

Example:

Array<double,1,3> x(8,25,3),
                  e(1./3.,0.5,2.);
cout << "[" << x << "]^[" << e << "] = " << x.pow(e) << endl; // using ArrayBase::pow
cout << "[" << x << "]^[" << e << "] = " << pow(x,e) << endl; // using Eigen::pow

Output:

[ 8 25  3]^[0.333   0.5     2] = 2 5 9
[ 8 25  3]^[0.333   0.5     2] = 2 5 9

See also: ArrayBase::pow()

pow() [2/3]

template<typename Derived , typename ScalarExponent >

const CwiseBinaryOp< internal::scalar_pow_op< Derived::Scalar, ScalarExponent >, Derived, Constant< ScalarExponent > > pow	(	const Eigen::ArrayBase< Derived > &	x,
		const ScalarExponent &	exponent
	)

Returns: an expression of the coefficient-wise power of x to the given constant exponent.

Template Parameters

ScalarExponent is the scalar type of exponent. It must be compatible with the scalar type of the given expression (Derived::Scalar).

See also: ArrayBase::pow()

pow() [3/3]

template<typename Scalar , typename Derived >

const CwiseBinaryOp< internal::scalar_pow_op< Scalar, Derived::Scalar >, Constant< Scalar >, Derived > pow	(	const Scalar &	x,
		const Eigen::ArrayBase< Derived > &	x
	)

Returns: an expression of the coefficient-wise power of the scalar x to the given array of exponents.

This function computes the coefficient-wise power between a scalar and an array of exponents.

Template Parameters

Scalar is the scalar type of x. It must be compatible with the scalar type of the given array expression (Derived::Scalar).

Example:

Array<double,1,3> e(2,-3,1./3.);
cout << "10^[" << e << "] = " << pow(10,e) << endl;

Output:

10^[    2    -3 0.333] =   100 0.001  2.15

See also: ArrayBase::pow()

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

Eigen::ArrayBase

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

matrix()

operator*=()

operator+=()

operator-=()

operator/=()

operator=() [1/2]

operator=() [2/2]

pow() [1/3]

pow() [2/3]

pow() [3/3]

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