Eigen: Eigen::ArrayBase< Derived > Class Template Reference

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#include <Eigen/src/Core/ArrayBase.h>

Detailed Description

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

Inheritance diagram for Eigen::ArrayBase< Derived >:

Public Member Functions
const AbsReturnType	abs () const

const Abs2ReturnType	abs2 () const

const AcosReturnType	acos () const

const ArgReturnType	arg () const

const AsinReturnType	asin () const

const AtanReturnType	atan () const

template<typename CustomBinaryOp, typename OtherDerived>
const CwiseBinaryOp< CustomBinaryOp, const Derived, const OtherDerived >	binaryExpr (const Eigen::ArrayBase< OtherDerived > &other, const CustomBinaryOp &func=CustomBinaryOp()) const

template<typename NewType>
CastXpr< NewType >::Type	cast () const

const CeilReturnType	ceil () const

ConjugateReturnType	conjugate () const

const CosReturnType	cos () const

const CoshReturnType	cosh () const

const CubeReturnType	cube () const

const CwiseAbsReturnType	cwiseAbs () const

const CwiseAbs2ReturnType	cwiseAbs2 () const

template<typename OtherDerived>
const CwiseBinaryOp< std::equal_to< Scalar >, const Derived, const OtherDerived >	cwiseEqual (const Eigen::ArrayBase< OtherDerived > &other) const

const CwiseScalarEqualReturnType	cwiseEqual (const Scalar &s) const

const CwiseInverseReturnType	cwiseInverse () const

template<typename OtherDerived>
const CwiseBinaryOp< internal::scalar_max_op< Scalar, Scalar >, const Derived, const OtherDerived >	cwiseMax (const Eigen::ArrayBase< OtherDerived > &other) const

const CwiseBinaryOp< internal::scalar_max_op< Scalar, Scalar >, const Derived, const ConstantReturnType >	cwiseMax (const Scalar &other) const

template<typename OtherDerived>
const CwiseBinaryOp< internal::scalar_min_op< Scalar, Scalar >, const Derived, const OtherDerived >	cwiseMin (const Eigen::ArrayBase< OtherDerived > &other) const

const CwiseBinaryOp< internal::scalar_min_op< Scalar, Scalar >, const Derived, const ConstantReturnType >	cwiseMin (const Scalar &other) const

template<typename OtherDerived>
const CwiseBinaryOp< std::not_equal_to< Scalar >, const Derived, const OtherDerived >	cwiseNotEqual (const Eigen::ArrayBase< OtherDerived > &other) const

template<typename OtherDerived>
const CwiseBinaryOp< internal::scalar_product_op< Derived ::Scalar, OtherDerived ::Scalar >, const Derived, const OtherDerived >	cwiseProduct (const Eigen::ArrayBase< OtherDerived > &other) const

template<typename OtherDerived>
const CwiseBinaryOp< internal::scalar_quotient_op< Scalar >, const Derived, const OtherDerived >	cwiseQuotient (const Eigen::ArrayBase< OtherDerived > &other) const

const CwiseSignReturnType	cwiseSign () const

const CwiseSqrtReturnType	cwiseSqrt () const

const DigammaReturnType	digamma () const

const ErfReturnType	erf () const

const ErfcReturnType	erfc () const

const ExpReturnType	exp () const

const FloorReturnType	floor () const

NonConstImagReturnType	imag ()

const ImagReturnType	imag () const

const InverseReturnType	inverse () const

const IsFiniteReturnType	isFinite () const

const IsInfReturnType	isInf () const

const IsNaNReturnType	isNaN () const

const LgammaReturnType	lgamma () const

const LogReturnType	log () const

const Log10ReturnType	log10 () const

const Log1pReturnType	log1p () const

MatrixWrapper< Derived >	matrix ()

template<typename OtherDerived>
const CwiseBinaryOp< max< Scalar >, const Derived, const OtherDerived >	max (const Eigen::ArrayBase< OtherDerived > &other) const

const CwiseBinaryOp< internal::scalar_max_op< Scalar, Scalar >, const Derived, const CwiseNullaryOp< internal::scalar_constant_op< Scalar >, PlainObject > >	max (const Scalar &other) const

template<typename OtherDerived>
const CwiseBinaryOp< min< Scalar >, const Derived, const OtherDerived >	min (const Eigen::ArrayBase< OtherDerived > &other) const

const CwiseBinaryOp< internal::scalar_min_op< Scalar, Scalar >, const Derived, const CwiseNullaryOp< internal::scalar_constant_op< Scalar >, PlainObject > >	min (const Scalar &other) const

const BooleanNotReturnType	operator! () const

template<typename OtherDerived>
const CwiseBinaryOp< internal::scalar_boolean_and_op, const Derived, const OtherDerived >	operator&& (const Eigen::ArrayBase< OtherDerived > &other) const

template<typename OtherDerived>
const CwiseBinaryOp< internal::scalar_product_op< Derived ::Scalar, OtherDerived ::Scalar >, const Derived, const OtherDerived >	operator* (const Eigen::ArrayBase< OtherDerived > &other) const

template<typename T>
const CwiseBinaryOp< internal::scalar_product_op< Scalar, T >, Derived, Constant< T > >	operator* (const T &scalar) const

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

template<typename OtherDerived>
const CwiseBinaryOp< sum< Scalar >, const Derived, const OtherDerived >	operator+ (const Eigen::ArrayBase< OtherDerived > &other) const

template<typename T>
const CwiseBinaryOp< internal::scalar_sum_op< Scalar, T >, Derived, Constant< T > >	operator+ (const T &scalar) const

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

const NegativeReturnType	operator- () const

template<typename OtherDerived>
const CwiseBinaryOp< difference< Scalar >, const Derived, const OtherDerived >	operator- (const Eigen::ArrayBase< OtherDerived > &other) const

template<typename T>
const CwiseBinaryOp< internal::scalar_difference_op< Scalar, T >, Derived, Constant< T > >	operator- (const T &scalar) const

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

template<typename OtherDerived>
const CwiseBinaryOp< internal::scalar_quotient_op< Scalar, typename OtherDerived::Scalar >, const Derived, const OtherDerived >	operator/ (const Eigen::ArrayBase< OtherDerived > &other) const

template<typename T>
const CwiseBinaryOp< internal::scalar_quotient_op< Scalar, T >, Derived, Constant< T > >	operator/ (const T &scalar) const

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

Derived &	operator= (const ArrayBase &other)

Derived &	operator= (const Scalar &value)

template<typename OtherDerived>
const CwiseBinaryOp< internal::scalar_boolean_xor_op, const Derived, const OtherDerived >	operator^ (const Eigen::ArrayBase< OtherDerived > &other) const

template<typename OtherDerived>
const CwiseBinaryOp< internal::scalar_boolean_or_op, const Derived, const OtherDerived >	operator\|\| (const Eigen::ArrayBase< OtherDerived > &other) const

template<typename OtherDerived>
const CwiseBinaryOp< pow< Scalar >, const Derived, const OtherDerived >	pow (const Eigen::ArrayBase< OtherDerived > &other) const

template<typename T>
const CwiseBinaryOp< internal::scalar_pow_op< Scalar, T >, Derived, Constant< T > >	pow (const T &exponent) const

NonConstRealReturnType	real ()

RealReturnType	real () const

const RoundReturnType	round () const

const RsqrtReturnType	rsqrt () const

const SignReturnType	sign () const

const SinReturnType	sin () const

const SinhReturnType	sinh () const

const SqrtReturnType	sqrt () const

const SquareReturnType	square () const

const TanReturnType	tan () const

const TanhReturnType	tanh () const

template<typename CustomUnaryOp>
const CwiseUnaryOp< CustomUnaryOp, const Derived >	unaryExpr (const CustomUnaryOp &func=CustomUnaryOp()) const
	Apply a unary operator coefficient-wise.

template<typename CustomViewOp>
const CwiseUnaryView< CustomViewOp, const Derived >	unaryViewExpr (const CustomViewOp &func=CustomViewOp()) const

template<typename DerivedQ>
const CwiseBinaryOp< internal::scalar_zeta_op< Scalar >, const Derived, const DerivedQ >	zeta (const Eigen::ArrayBase< DerivedQ > &q) const

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

bool	allFinite () const

bool	any () const

template<int NRows, int NCols>
FixedBlockXpr< NRows, NCols >::Type	block (Index startRow, Index startCol)

template<int NRows, int NCols>
const ConstFixedBlockXpr< NRows, NCols >::Type	block (Index startRow, Index startCol) const
	This is the const version of block<>(Index, Index). *‍/.

BlockXpr	block (Index startRow, Index startCol, Index blockRows, Index blockCols)

template<int NRows, int NCols>
FixedBlockXpr< NRows, NCols >::Type	block (Index startRow, Index startCol, Index blockRows, Index blockCols)

const ConstBlockXpr	block (Index startRow, Index startCol, Index blockRows, Index blockCols) const
	This is the const version of block(Index,Index,Index,Index). *‍/.

template<int NRows, int NCols>
const ConstFixedBlockXpr< NRows, NCols >::Type	block (Index startRow, Index startCol, Index blockRows, Index blockCols) const
	This is the const version of block<>(Index, Index, Index, Index).

template<int CRows, int CCols>
FixedBlockXpr< CRows, CCols >::Type	bottomLeftCorner ()

template<int CRows, int CCols>
const ConstFixedBlockXpr< CRows, CCols >::Type	bottomLeftCorner () const
	This is the const version of bottomLeftCorner<int, int>().

BlockXpr	bottomLeftCorner (Index cRows, Index cCols)

template<int CRows, int CCols>
FixedBlockXpr< CRows, CCols >::Type	bottomLeftCorner (Index cRows, Index cCols)

const ConstBlockXpr	bottomLeftCorner (Index cRows, Index cCols) const
	This is the const version of bottomLeftCorner(Index, Index).

template<int CRows, int CCols>
const ConstFixedBlockXpr< CRows, CCols >::Type	bottomLeftCorner (Index cRows, Index cCols) const
	This is the const version of bottomLeftCorner<int, int>(Index, Index).

template<int CRows, int CCols>
FixedBlockXpr< CRows, CCols >::Type	bottomRightCorner ()

template<int CRows, int CCols>
const ConstFixedBlockXpr< CRows, CCols >::Type	bottomRightCorner () const
	This is the const version of bottomRightCorner<int, int>().

BlockXpr	bottomRightCorner (Index cRows, Index cCols)

template<int CRows, int CCols>
FixedBlockXpr< CRows, CCols >::Type	bottomRightCorner (Index cRows, Index cCols)

const ConstBlockXpr	bottomRightCorner (Index cRows, Index cCols) const
	This is the const version of bottomRightCorner(Index, Index).

template<int CRows, int CCols>
const ConstFixedBlockXpr< CRows, CCols >::Type	bottomRightCorner (Index cRows, Index cCols) const
	This is the const version of bottomRightCorner<int, int>(Index, Index).

RowsBlockXpr	bottomRows (Index n)

ConstRowsBlockXpr	bottomRows (Index n) const
	This is the const version of bottomRows(Index).

template<int N>
NRowsBlockXpr< N >::Type	bottomRows (Index n=N)

template<int N>
ConstNRowsBlockXpr< N >::Type	bottomRows (Index n=N) const
	This is the const version of bottomRows<int>().

ColXpr	col (Index i)

ConstColXpr	col (Index i) const
	This is the const version of col().

ColwiseReturnType	colwise ()

ConstColwiseReturnType	colwise () const

Index	count () 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

SegmentReturnType	head (Index n)

ConstSegmentReturnType	head (Index n) const
	This is the const version of head(Index).

template<int N>
FixedSegmentReturnType< N >::Type	head (Index n=N)

template<int N>
ConstFixedSegmentReturnType< N >::Type	head (Index n=N) const
	This is the const version of head<int>().

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

ColsBlockXpr	leftCols (Index n)

ConstColsBlockXpr	leftCols (Index n) const
	This is the const version of leftCols(Index).

template<int N>
NColsBlockXpr< N >::Type	leftCols (Index n=N)

template<int N>
ConstNColsBlockXpr< N >::Type	leftCols (Index n=N) const
	This is the const version of leftCols<int>().

internal::traits< Derived >::Scalar	maxCoeff () const

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

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

Scalar	mean () const

template<int N>
NColsBlockXpr< N >::Type	middleCols (Index startCol, Index n=N)

template<int N>
ConstNColsBlockXpr< N >::Type	middleCols (Index startCol, Index n=N) const
	This is the const version of middleCols<int>().

ColsBlockXpr	middleCols (Index startCol, Index numCols)

ConstColsBlockXpr	middleCols (Index startCol, Index numCols) const
	This is the const version of middleCols(Index,Index).

RowsBlockXpr	middleRows (Index startRow, Index n)

ConstRowsBlockXpr	middleRows (Index startRow, Index n) const
	This is the const version of middleRows(Index,Index).

template<int N>
NRowsBlockXpr< N >::Type	middleRows (Index startRow, Index n=N)

template<int N>
ConstNRowsBlockXpr< N >::Type	middleRows (Index startRow, Index n=N) const
	This is the const version of middleRows<int>().

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

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

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

const NestByValue< Derived >	nestByValue () const

Index	nonZeros () const

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

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

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

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.

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 ()

ColsBlockXpr	rightCols (Index n)

ConstColsBlockXpr	rightCols (Index n) const
	This is the const version of rightCols(Index).

template<int N>
NColsBlockXpr< N >::Type	rightCols (Index n=N)

template<int N>
ConstNColsBlockXpr< N >::Type	rightCols (Index n=N) const
	This is the const version of rightCols<int>().

RowXpr	row (Index i)

ConstRowXpr	row (Index i) const
	This is the const version of row(). *‍/.

RowwiseReturnType	rowwise ()

ConstRowwiseReturnType	rowwise () const

SegmentReturnType	segment (Index start, Index n)

ConstSegmentReturnType	segment (Index start, Index n) const
	This is the const version of segment(Index,Index).

template<int N>
FixedSegmentReturnType< N >::Type	segment (Index start, Index n=N)

template<int N>
ConstFixedSegmentReturnType< N >::Type	segment (Index start, Index n=N) const
	This is the const version of segment<int>(Index).

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.

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

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)

SegmentReturnType	tail (Index n)

ConstSegmentReturnType	tail (Index n) const
	This is the const version of tail(Index).

template<int N>
FixedSegmentReturnType< N >::Type	tail (Index n=N)

template<int N>
ConstFixedSegmentReturnType< N >::Type	tail (Index n=N) const
	This is the const version of tail<int>.

template<int CRows, int CCols>
FixedBlockXpr< CRows, CCols >::Type	topLeftCorner ()

template<int CRows, int CCols>
const ConstFixedBlockXpr< CRows, CCols >::Type	topLeftCorner () const
	This is the const version of topLeftCorner<int, int>().

BlockXpr	topLeftCorner (Index cRows, Index cCols)

template<int CRows, int CCols>
FixedBlockXpr< CRows, CCols >::Type	topLeftCorner (Index cRows, Index cCols)

const ConstBlockXpr	topLeftCorner (Index cRows, Index cCols) const
	This is the const version of topLeftCorner(Index, Index).

template<int CRows, int CCols>
const ConstFixedBlockXpr< CRows, CCols >::Type	topLeftCorner (Index cRows, Index cCols) const
	This is the const version of topLeftCorner<int, int>(Index, Index).

template<int CRows, int CCols>
FixedBlockXpr< CRows, CCols >::Type	topRightCorner ()

template<int CRows, int CCols>
const ConstFixedBlockXpr< CRows, CCols >::Type	topRightCorner () const
	This is the const version of topRightCorner<int, int>().

BlockXpr	topRightCorner (Index cRows, Index cCols)

template<int CRows, int CCols>
FixedBlockXpr< CRows, CCols >::Type	topRightCorner (Index cRows, Index cCols)

const ConstBlockXpr	topRightCorner (Index cRows, Index cCols) const
	This is the const version of topRightCorner(Index, Index).

template<int CRows, int CCols>
const ConstFixedBlockXpr< CRows, CCols >::Type	topRightCorner (Index cRows, Index cCols) const
	This is the const version of topRightCorner<int, int>(Index, Index).

RowsBlockXpr	topRows (Index n)

ConstRowsBlockXpr	topRows (Index n) const
	This is the const version of topRows(Index).

template<int N>
NRowsBlockXpr< N >::Type	topRows (Index n=N)

template<int N>
ConstNRowsBlockXpr< N >::Type	topRows (Index n=N) const
	This is the const version of topRows<int>().

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 >
Index	colStride () const

Index	innerStride () const

Index	outerStride () const

Index	rowStride () const

Related Symbols
(Note that these are not member symbols.)
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 Symbols inherited from Eigen::DenseBase< Derived >
template<typename Derived>
std::ostream &	operator<< (std::ostream &s, const DenseBase< Derived > &m)

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

typedef Eigen::InnerIterator< Derived >	InnerIterator

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< typenameinternal::traits< Derived >::XprKind, MatrixXpr >::value, PlainMatrix, PlainArray >::type	PlainObject
	The plain matrix or array type corresponding to this expression.

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

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

typedef Scalar	value_type

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.

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

static const SequentialLinSpacedReturnType	LinSpaced (Sequential_t, const Scalar &low, const Scalar &high)

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

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 ()

Member Function Documentation

◆ abs()

template<typename Derived>

const AbsReturnType Eigen::ArrayBase< Derived >::abs ( ) const

inline

Returns: an expression of the coefficient-wise absolute value of *this

Example:

Array3d v(1,-2,-3);

cout << v.abs() << endl;

Output:

1
2
3

See also: Math functions, abs2()

◆ abs2()

template<typename Derived>

const Abs2ReturnType Eigen::ArrayBase< Derived >::abs2 ( ) const

inline

Returns: an expression of the coefficient-wise squared absolute value of *this

Example:

Array3d v(1,-2,-3);

cout << v.abs2() << endl;

Output:

1
4
9

See also: Math functions, abs(), square()

◆ acos()

template<typename Derived>

const AcosReturnType Eigen::ArrayBase< Derived >::acos ( ) const

inline

Returns: an expression of the coefficient-wise arc cosine of *this.

Example:

Array3d v(0, sqrt(2.)/2, 1);

cout << v.acos() << endl;

Eigen::ArrayBase::sqrt

const SqrtReturnType sqrt() const

Definition ArrayBase.h:153

Output:

 1.57
0.785
    0

See also: Math functions, cos(), asin()

◆ arg()

template<typename Derived>

const ArgReturnType Eigen::ArrayBase< Derived >::arg ( ) const

inline

Returns: an expression of the coefficient-wise phase angle of *this

Example:

ArrayXcf v = ArrayXcf::Random(3);
cout << v << endl << endl;
cout << arg(v) << endl;

Output:

 (0.68,-0.211)
 (0.566,0.597)
(0.823,-0.605)

-0.301
 0.812
-0.634

See also: abs()

◆ asin()

template<typename Derived>

const AsinReturnType Eigen::ArrayBase< Derived >::asin ( ) const

inline

Returns: an expression of the coefficient-wise arc sine of *this.

Example:

Array3d v(0, sqrt(2.)/2, 1);

cout << v.asin() << endl;

Output:

    0
0.785
 1.57

See also: Math functions, sin(), acos()

◆ atan()

template<typename Derived>

const AtanReturnType Eigen::ArrayBase< Derived >::atan ( ) const

inline

Returns: an expression of the coefficient-wise arc tan of *this.

Example:

ArrayXd v = ArrayXd::LinSpaced(5,0,1);

cout << v.atan() << endl;

Output:

See also: Math functions, tan(), asin(), acos()

◆ binaryExpr()

template<typename Derived>

template<typename CustomBinaryOp, typename OtherDerived>

const CwiseBinaryOp< CustomBinaryOp, const Derived, const OtherDerived > Eigen::ArrayBase< Derived >::binaryExpr	(	const Eigen::ArrayBase< OtherDerived > &	other,
		const CustomBinaryOp &	func = CustomBinaryOp() ) const

inline

Returns: an expression of a custom coefficient-wise operator func of *this and other

The template parameter CustomBinaryOp is the type of the functor of the custom operator (see class CwiseBinaryOp for an example)

Here is an example illustrating the use of custom functors:

#include <Eigen/Core>
#include <iostream>
using namespace Eigen;
using namespace std;
 
// define a custom template binary functor
template<typename Scalar> struct MakeComplexOp {
  EIGEN_EMPTY_STRUCT_CTOR(MakeComplexOp)
  typedef complex<Scalar> result_type;
  complex<Scalar> operator()(const Scalar& a, const Scalar& b) const { return complex<Scalar>(a,b); }
};
 
int main(int, char**)
{
  Matrix4d m1 = Matrix4d::Random(), m2 = Matrix4d::Random();
  cout << m1.binaryExpr(m2, MakeComplexOp<double>()) << endl;
  return 0;
}

Output:

   (0.68,0.271)  (0.823,-0.967) (-0.444,-0.687)   (-0.27,0.998)
 (-0.211,0.435) (-0.605,-0.514)  (0.108,-0.198) (0.0268,-0.563)
 (0.566,-0.717)  (-0.33,-0.726) (-0.0452,-0.74)  (0.904,0.0259)
  (0.597,0.214)   (0.536,0.608)  (0.258,-0.782)   (0.832,0.678)

See also: class CwiseBinaryOp, operator+(), operator-(), cwiseProduct()

◆ cast()

template<typename Derived>

template<typename NewType>

CastXpr< NewType >::Type Eigen::ArrayBase< Derived >::cast ( ) const

inline

Returns: an expression of *this with the Scalar type casted to NewScalar.

The template parameter NewScalar is the type we are casting the scalars to.

See also: class CwiseUnaryOp

◆ ceil()

template<typename Derived>

const CeilReturnType Eigen::ArrayBase< Derived >::ceil ( ) const

inline

Returns: an expression of the coefficient-wise ceil of *this.

Example:

ArrayXd v = ArrayXd::LinSpaced(7,-2,2);
cout << v << endl << endl;
cout << ceil(v) << endl;

Output:

See also: Math functions, floor(), round()

◆ conjugate()

template<typename Derived>

ConjugateReturnType Eigen::ArrayBase< Derived >::conjugate ( ) const

inline

Returns: an expression of the complex conjugate of *this.

See also: Math functions, MatrixBase::adjoint()

◆ cos()

template<typename Derived>

const CosReturnType Eigen::ArrayBase< Derived >::cos ( ) const

inline

Returns: an expression of the coefficient-wise cosine of *this.

This function computes the coefficient-wise cosine. The function MatrixBase::cos() in the unsupported module MatrixFunctions computes the matrix cosine.

Example:

Array3d v(M_PI, M_PI/2, M_PI/3);

cout << v.cos() << endl;

Output:

      -1
6.12e-17
     0.5

See also: Math functions, sin(), acos()

◆ cosh()

template<typename Derived>

const CoshReturnType Eigen::ArrayBase< Derived >::cosh ( ) const

inline

Returns: an expression of the coefficient-wise hyperbolic cos of *this.

Example:

ArrayXd v = ArrayXd::LinSpaced(5,0,1);

cout << cosh(v) << endl;

Eigen::ArrayBase::cosh

const CoshReturnType cosh() const

Definition ArrayBase.h:319

Output:

See also: Math functions, tan(), sinh(), cosh()

◆ cube()

template<typename Derived>

const CubeReturnType Eigen::ArrayBase< Derived >::cube ( ) const

inline

Returns: an expression of the coefficient-wise cube of *this.

Example:

Array3d v(2,3,4);

cout << v.cube() << endl;

Output:

 8
27
64

See also: Math functions, square(), pow()

◆ cwiseAbs()

template<typename Derived>

const CwiseAbsReturnType Eigen::ArrayBase< Derived >::cwiseAbs ( ) const

inline

Returns: an expression of the coefficient-wise absolute value of *this

Example:

MatrixXd m(2,3);
m << 2, -4, 6,   
     -5, 1, 0;
cout << m.cwiseAbs() << endl;

Output:

2 4 6
5 1 0

See also: cwiseAbs2()

◆ cwiseAbs2()

template<typename Derived>

const CwiseAbs2ReturnType Eigen::ArrayBase< Derived >::cwiseAbs2 ( ) const

inline

Returns: an expression of the coefficient-wise squared absolute value of *this

Example:

MatrixXd m(2,3);
m << 2, -4, 6,   
     -5, 1, 0;
cout << m.cwiseAbs2() << endl;

Output:

 4 16 36
25  1  0

See also: cwiseAbs()

◆ cwiseEqual() [1/2]

template<typename Derived>

template<typename OtherDerived>

const CwiseBinaryOp< std::equal_to< Scalar >, const Derived, const OtherDerived > Eigen::ArrayBase< Derived >::cwiseEqual ( const Eigen::ArrayBase< OtherDerived > & other ) const

inline

Returns: an expression of the coefficient-wise == operator of *this and other

Warning: this performs an exact comparison, which is generally a bad idea with floating-point types. In order to check for equality between two vectors or matrices with floating-point coefficients, it is generally a far better idea to use a fuzzy comparison as provided by isApprox() and isMuchSmallerThan().

Example:

MatrixXi m(2,2);
m << 1, 0,
     1, 1;
cout << "Comparing m with identity matrix:" << endl;
cout << m.cwiseEqual(MatrixXi::Identity(2,2)) << endl;
Index count = m.cwiseEqual(MatrixXi::Identity(2,2)).count();
cout << "Number of coefficients that are equal: " << count << endl;

Output:

Comparing m with identity matrix:
1 1
0 1
Number of coefficients that are equal: 3

See also: cwiseNotEqual(), isApprox(), isMuchSmallerThan()

◆ cwiseEqual() [2/2]

template<typename Derived>

const CwiseScalarEqualReturnType Eigen::ArrayBase< Derived >::cwiseEqual ( const Scalar & s ) const

inline

Returns: an expression of the coefficient-wise == operator of *this and a scalar s

Warning: this performs an exact comparison, which is generally a bad idea with floating-point types. In order to check for equality between two vectors or matrices with floating-point coefficients, it is generally a far better idea to use a fuzzy comparison as provided by isApprox() and isMuchSmallerThan().

See also: cwiseEqual(const MatrixBase<OtherDerived> &) const

◆ cwiseInverse()

template<typename Derived>

const CwiseInverseReturnType Eigen::ArrayBase< Derived >::cwiseInverse ( ) const

inline

Returns: an expression of the coefficient-wise inverse of *this.

Example:

MatrixXd m(2,3);
m << 2, 0.5, 1,   
     3, 0.25, 1;
cout << m.cwiseInverse() << endl;

Output:

  0.5     2     1
0.333     4     1

See also: cwiseProduct()

◆ cwiseMax() [1/2]

template<typename Derived>

template<typename OtherDerived>

const CwiseBinaryOp< internal::scalar_max_op< Scalar, Scalar >, const Derived, const OtherDerived > Eigen::ArrayBase< Derived >::cwiseMax ( const Eigen::ArrayBase< OtherDerived > & other ) const

inline

Returns: an expression of the coefficient-wise max of *this and other

Example:

Vector3d v(2,3,4), w(4,2,3);

cout << v.cwiseMax(w) << endl;

Output:

4
3
4

See also: class CwiseBinaryOp, min()

◆ cwiseMax() [2/2]

template<typename Derived>

const CwiseBinaryOp< internal::scalar_max_op< Scalar, Scalar >, const Derived, const ConstantReturnType > Eigen::ArrayBase< Derived >::cwiseMax ( const Scalar & other ) const

inline

Returns: an expression of the coefficient-wise max of *this and scalar other

See also: class CwiseBinaryOp, min()

◆ cwiseMin() [1/2]

template<typename Derived>

template<typename OtherDerived>

const CwiseBinaryOp< internal::scalar_min_op< Scalar, Scalar >, const Derived, const OtherDerived > Eigen::ArrayBase< Derived >::cwiseMin ( const Eigen::ArrayBase< OtherDerived > & other ) const

inline

Returns: an expression of the coefficient-wise min of *this and other

Example:

Vector3d v(2,3,4), w(4,2,3);

cout << v.cwiseMin(w) << endl;

Output:

2
2
3

See also: class CwiseBinaryOp, max()

◆ cwiseMin() [2/2]

template<typename Derived>

const CwiseBinaryOp< internal::scalar_min_op< Scalar, Scalar >, const Derived, const ConstantReturnType > Eigen::ArrayBase< Derived >::cwiseMin ( const Scalar & other ) const

inline

Returns: an expression of the coefficient-wise min of *this and scalar other

See also: class CwiseBinaryOp, min()

◆ cwiseNotEqual()

template<typename Derived>

template<typename OtherDerived>

const CwiseBinaryOp< std::not_equal_to< Scalar >, const Derived, const OtherDerived > Eigen::ArrayBase< Derived >::cwiseNotEqual ( const Eigen::ArrayBase< OtherDerived > & other ) const

inline

Returns: an expression of the coefficient-wise != operator of *this and other

Warning: this performs an exact comparison, which is generally a bad idea with floating-point types. In order to check for equality between two vectors or matrices with floating-point coefficients, it is generally a far better idea to use a fuzzy comparison as provided by isApprox() and isMuchSmallerThan().

Example:

MatrixXi m(2,2);
m << 1, 0,
     1, 1;
cout << "Comparing m with identity matrix:" << endl;
cout << m.cwiseNotEqual(MatrixXi::Identity(2,2)) << endl;
Index count = m.cwiseNotEqual(MatrixXi::Identity(2,2)).count();
cout << "Number of coefficients that are not equal: " << count << endl;

Output:

Comparing m with identity matrix:
0 0
1 0
Number of coefficients that are not equal: 1

See also: cwiseEqual(), isApprox(), isMuchSmallerThan()

◆ cwiseProduct()

template<typename Derived>

template<typename OtherDerived>

const CwiseBinaryOp< internal::scalar_product_op< Derived ::Scalar, OtherDerived ::Scalar >, const Derived, const OtherDerived > Eigen::ArrayBase< Derived >::cwiseProduct ( const Eigen::ArrayBase< OtherDerived > & other ) const

inline

Returns: an expression of the Schur product (coefficient wise product) of *this and other

Example:

Matrix3i a = Matrix3i::Random(), b = Matrix3i::Random();
Matrix3i c = a.cwiseProduct(b);
cout << "a:\n" << a << "\nb:\n" << b << "\nc:\n" << c << endl;
 

Output:

See also: class CwiseBinaryOp, cwiseAbs2

◆ cwiseQuotient()

template<typename Derived>

template<typename OtherDerived>

const CwiseBinaryOp< internal::scalar_quotient_op< Scalar >, const Derived, const OtherDerived > Eigen::ArrayBase< Derived >::cwiseQuotient ( const Eigen::ArrayBase< OtherDerived > & other ) const

inline

Returns: an expression of the coefficient-wise quotient of *this and other

Example:

Vector3d v(2,3,4), w(4,2,3);

cout << v.cwiseQuotient(w) << endl;

Output:

 0.5
 1.5
1.33

See also: class CwiseBinaryOp, cwiseProduct(), cwiseInverse()

◆ cwiseSign()

template<typename Derived>

const CwiseSignReturnType Eigen::ArrayBase< Derived >::cwiseSign ( ) const

inline

Returns: an expression of the coefficient-wise signum of *this.

Example:

MatrixXd m(2,3);
m <<  2, -4, 6,
     -5,  1, 0;
cout << m.cwiseSign() << endl;

Output:

 1 -1  1
-1  1  0

◆ cwiseSqrt()

template<typename Derived>

const CwiseSqrtReturnType Eigen::ArrayBase< Derived >::cwiseSqrt ( ) const

inline

Returns: an expression of the coefficient-wise square root of *this.

Example:

Vector3d v(1,2,4);

cout << v.cwiseSqrt() << endl;

Output:

   1
1.41
   2

See also: cwisePow(), cwiseSquare()

◆ digamma()

template<typename Derived>

const DigammaReturnType Eigen::ArrayBase< Derived >::digamma ( ) const

inline

Returns: an expression of the coefficient-wise digamma (psi, derivative of lgamma).

This is defined in the unsupported SpecialFunctions module.

#include <Eigen/SpecialFunctions>

Note: This function supports only float and double scalar types. To support other scalar types, the user has to provide implementations of digamma(T) for any scalar type T to be supported.

See also: Math functions, Eigen::digamma(), Eigen::polygamma(), lgamma()

◆ erf()

template<typename Derived>

const ErfReturnType Eigen::ArrayBase< Derived >::erf ( ) const

inline

[c++11]

Returns: an expression of the coefficient-wise Gauss error function of *this.

This is defined in the unsupported SpecialFunctions module.

#include <Eigen/SpecialFunctions>

Example:

#include <Eigen/Core>
#include <unsupported/Eigen/SpecialFunctions>
#include <iostream>
using namespace Eigen;
int main()
{
  Array4d v(-0.5,2,0,-7);
  std::cout << v.erf() << std::endl;
}

Output:

Note: This function supports only float and double scalar types in c++11 mode. To support other scalar types, or float/double in non c++11 mode, the user has to provide implementations of erf(T) for any scalar type T to be supported.

See also: Math functions, erfc()

◆ erfc()

template<typename Derived>

const ErfcReturnType Eigen::ArrayBase< Derived >::erfc ( ) const

inline

[c++11]

Returns: an expression of the coefficient-wise Complementary error function of *this.

This is defined in the unsupported SpecialFunctions module.

#include <Eigen/SpecialFunctions>

Example:

#include <Eigen/Core>
#include <unsupported/Eigen/SpecialFunctions>
#include <iostream>
using namespace Eigen;
int main()
{
  Array4d v(-0.5,2,0,-7);
  std::cout << v.erfc() << std::endl;
}

Output:

Note: This function supports only float and double scalar types in c++11 mode. To support other scalar types, or float/double in non c++11 mode, the user has to provide implementations of erfc(T) for any scalar type T to be supported.

See also: Math functions, erf()

◆ exp()

template<typename Derived>

const ExpReturnType Eigen::ArrayBase< Derived >::exp ( ) const

inline

Returns: an expression of the coefficient-wise exponential of *this.

This function computes the coefficient-wise exponential. The function MatrixBase::exp() in the unsupported module MatrixFunctions computes the matrix exponential.

Example:

Array3d v(1,2,3);

cout << v.exp() << endl;

Output:

2.72
7.39
20.1

See also: Math functions, pow(), log(), sin(), cos()

◆ floor()

template<typename Derived>

const FloorReturnType Eigen::ArrayBase< Derived >::floor ( ) const

inline

Returns: an expression of the coefficient-wise floor of *this.

Example:

ArrayXd v = ArrayXd::LinSpaced(7,-2,2);
cout << v << endl << endl;
cout << floor(v) << endl;

Output:

See also: Math functions, ceil(), round()

◆ imag() [1/2]

template<typename Derived>

NonConstImagReturnType Eigen::ArrayBase< Derived >::imag ( )

inline

Returns: a non const expression of the imaginary part of *this.

See also: real()

◆ imag() [2/2]

template<typename Derived>

const ImagReturnType Eigen::ArrayBase< Derived >::imag ( ) const

inline

Returns: an read-only expression of the imaginary part of *this.

See also: real()

◆ inverse()

template<typename Derived>

const InverseReturnType Eigen::ArrayBase< Derived >::inverse ( ) const

inline

Returns: an expression of the coefficient-wise inverse of *this.

Example:

Array3d v(2,3,4);

cout << v.inverse() << endl;

Output:

  0.5
0.333
 0.25

See also: operator/(), operator*()

◆ isFinite()

template<typename Derived>

const IsFiniteReturnType Eigen::ArrayBase< Derived >::isFinite ( ) const

inline

Returns: an expression of the coefficient-wise isfinite of *this.

Example:

Array3d v(1,2,3);
v(1) *= 0.0/0.0;
v(2) /= 0.0;
cout << v << endl << endl;
cout << isfinite(v) << endl;

Output:

  1
nan
inf

1
0
0

See also: isnan(), isinf()

◆ isInf()

template<typename Derived>

const IsInfReturnType Eigen::ArrayBase< Derived >::isInf ( ) const

inline

Returns: an expression of the coefficient-wise isinf of *this.

Example:

Array3d v(1,2,3);
v(1) *= 0.0/0.0;
v(2) /= 0.0;
cout << v << endl << endl;
cout << isinf(v) << endl;

Output:

  1
nan
inf

0
0
1

See also: isnan(), isfinite()

◆ isNaN()

template<typename Derived>

const IsNaNReturnType Eigen::ArrayBase< Derived >::isNaN ( ) const

inline

Returns: an expression of the coefficient-wise isnan of *this.

Example:

Array3d v(1,2,3);
v(1) *= 0.0/0.0;
v(2) /= 0.0;
cout << v << endl << endl;
cout << isnan(v) << endl;

Output:

  1
nan
inf

0
1
0

See also: isfinite(), isinf()

◆ lgamma()

template<typename Derived>

const LgammaReturnType Eigen::ArrayBase< Derived >::lgamma ( ) const

inline

[c++11]

Returns: an expression of the coefficient-wise ln(|gamma(*this)|).

This is defined in the unsupported SpecialFunctions module.

#include <Eigen/SpecialFunctions>

Example:

#include <Eigen/Core>
#include <unsupported/Eigen/SpecialFunctions>
#include <iostream>
using namespace Eigen;
int main()
{
  Array4d v(0.5,10,0,-1);
  std::cout << v.lgamma() << std::endl;
}

Output:

0.572
 12.8
  inf
  inf

Note: This function supports only float and double scalar types in c++11 mode. To support other scalar types, or float/double in non c++11 mode, the user has to provide implementations of lgamma(T) for any scalar type T to be supported.

See also: Math functions, digamma()

◆ log()

template<typename Derived>

const LogReturnType Eigen::ArrayBase< Derived >::log ( ) const

inline

Returns: an expression of the coefficient-wise logarithm of *this.

This function computes the coefficient-wise logarithm. The function MatrixBase::log() in the unsupported module MatrixFunctions computes the matrix logarithm.

Example:

Array3d v(1,2,3);

cout << v.log() << endl;

Output:

    0
0.693
  1.1

See also: Math functions, exp()

◆ log10()

template<typename Derived>

const Log10ReturnType Eigen::ArrayBase< Derived >::log10 ( ) const

inline

Returns: an expression of the coefficient-wise base-10 logarithm of *this.

This function computes the coefficient-wise base-10 logarithm.

Example:

Array4d v(-1,0,1,2);

cout << log10(v) << endl;

Eigen::ArrayBase::log10

const Log10ReturnType log10() const

Definition ArrayBase.h:136

Output:

  nan
 -inf
    0
0.301

See also: Math functions, log()

◆ log1p()

template<typename Derived>

const Log1pReturnType Eigen::ArrayBase< Derived >::log1p ( ) const

inline

Returns: an expression of the coefficient-wise logarithm of 1 plus *this.

In exact arithmetic, x.log() is equivalent to (x+1).log(), however, with finite precision, this function is much more accurate when x is close to zero.

See also: Math functions, log()

◆ matrix()

template<typename Derived>

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

inline

Returns: an Matrix expression of this array

See also: MatrixBase::array()

◆ max() [1/2]

template<typename Derived>

template<typename OtherDerived>

const CwiseBinaryOp< max< Scalar >, const Derived, const OtherDerived > Eigen::ArrayBase< Derived >::max ( const Eigen::ArrayBase< OtherDerived > & other ) const

Returns: an expression of the coefficient-wise max of *this and other

Example:

Array3d v(2,3,4), w(4,2,3);

cout << v.max(w) << endl;

Output:

4
3
4

See also: min()

◆ max() [2/2]

template<typename Derived>

const CwiseBinaryOp< internal::scalar_max_op< Scalar, Scalar >, const Derived, const CwiseNullaryOp< internal::scalar_constant_op< Scalar >, PlainObject > > Eigen::ArrayBase< Derived >::max ( const Scalar & other ) const

inline

Returns: an expression of the coefficient-wise max of *this and scalar other

See also: min()

◆ min() [1/2]

template<typename Derived>

template<typename OtherDerived>

const CwiseBinaryOp< min< Scalar >, const Derived, const OtherDerived > Eigen::ArrayBase< Derived >::min ( const Eigen::ArrayBase< OtherDerived > & other ) const

Returns: an expression of the coefficient-wise min of *this and other

Example:

Array3d v(2,3,4), w(4,2,3);

cout << v.min(w) << endl;

Output:

2
2
3

See also: max()

◆ min() [2/2]

template<typename Derived>

const CwiseBinaryOp< internal::scalar_min_op< Scalar, Scalar >, const Derived, const CwiseNullaryOp< internal::scalar_constant_op< Scalar >, PlainObject > > Eigen::ArrayBase< Derived >::min ( const Scalar & other ) const

inline

Returns: an expression of the coefficient-wise min of *this and scalar other

See also: max()

◆ operator!()

template<typename Derived>

const BooleanNotReturnType Eigen::ArrayBase< Derived >::operator! ( ) const

inline

Returns: an expression of the coefficient-wise ! operator of *this

Warning: this operator is for expression of bool only.

Example:

Array3d v(1,2,3);
v(1) *= 0.0/0.0;
v(2) /= 0.0;
cout << v << endl << endl;
cout << !isfinite(v) << endl;

Output:

  1
nan
inf

0
1
1

See also: operator!=()

◆ operator&&()

template<typename Derived>

template<typename OtherDerived>

const CwiseBinaryOp< internal::scalar_boolean_and_op, const Derived, const OtherDerived > Eigen::ArrayBase< Derived >::operator&& ( const Eigen::ArrayBase< OtherDerived > & other ) const

inline

Returns: an expression of the coefficient-wise boolean and operator of *this and other

Warning: this operator is for expression of bool only.

Example:

Array3d v(-1,2,1), w(-3,2,3);

cout << ((v<w) && (v<0)) << endl;

Output:

0
0
0

See also: operator||(), select()

◆ operator*() [1/2]

template<typename Derived>

template<typename OtherDerived>

const CwiseBinaryOp< internal::scalar_product_op< Derived ::Scalar, OtherDerived ::Scalar >, const Derived, const OtherDerived > Eigen::ArrayBase< Derived >::operator* ( const Eigen::ArrayBase< OtherDerived > & other ) const

inline

Returns: an expression of the coefficient wise product of *this and other

See also: MatrixBase::cwiseProduct

◆ operator*() [2/2]

template<typename Derived>

template<typename T>

const CwiseBinaryOp< internal::scalar_product_op< Scalar, T >, Derived, Constant< T > > Eigen::ArrayBase< Derived >::operator* ( const T & scalar ) const

Returns: an expression of *this scaled by the scalar factor scalar

Template Parameters

T	is the scalar type of scalar. It must be compatible with the scalar type of the given expression.

◆ 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>

template<typename OtherDerived>

const CwiseBinaryOp< sum< Scalar >, const Derived, const OtherDerived > Eigen::ArrayBase< Derived >::operator+ ( const Eigen::ArrayBase< OtherDerived > & other ) const

Returns: an expression of the sum of *this and other

Note: If you want to add a given scalar to all coefficients, see Cwise::operator+().

See also: class CwiseBinaryOp, operator+=()

◆ operator+() [2/2]

template<typename Derived>

template<typename T>

const CwiseBinaryOp< internal::scalar_sum_op< Scalar, T >, Derived, Constant< T > > Eigen::ArrayBase< Derived >::operator+ ( const T & scalar ) const

Returns: an expression of the coefficient-wise < operator of *this and other

Example:

Array3d v(1,2,3), w(3,2,1);

cout << (v<w) << endl;

Output:

1
0
0

See also: all(), any(), operator>(), operator<=()

Returns: an expression of the coefficient-wise <= operator of *this and other

Example:

Array3d v(1,2,3), w(3,2,1);

cout << (v<=w) << endl;

Output:

1
1
0

See also: all(), any(), operator>=(), operator<()

Returns: an expression of the coefficient-wise > operator of *this and other

Example:

Array3d v(1,2,3), w(3,2,1);

cout << (v>w) << endl;

Output:

0
0
1

See also: all(), any(), operator>=(), operator<()

Returns: an expression of the coefficient-wise >= operator of *this and other

Example:

Array3d v(1,2,3), w(3,2,1);

cout << (v>=w) << endl;

Output:

0
1
1

See also: all(), any(), operator>(), operator<=()

Returns: an expression of the coefficient-wise == operator of *this and other

Warning: this performs an exact comparison, which is generally a bad idea with floating-point types. In order to check for equality between two vectors or matrices with floating-point coefficients, it is generally a far better idea to use a fuzzy comparison as provided by isApprox() and isMuchSmallerThan().

Example:

Array3d v(1,2,3), w(3,2,1);

cout << (v==w) << endl;

Output:

0
1
0

See also: all(), any(), isApprox(), isMuchSmallerThan()

Returns: an expression of the coefficient-wise != operator of *this and other

Warning: this performs an exact comparison, which is generally a bad idea with floating-point types. In order to check for equality between two vectors or matrices with floating-point coefficients, it is generally a far better idea to use a fuzzy comparison as provided by isApprox() and isMuchSmallerThan().

Example:

Array3d v(1,2,3), w(3,2,1);

cout << (v!=w) << endl;

Output:

1
0
1

See also: all(), any(), isApprox(), isMuchSmallerThan()

Returns: an expression of *this with each coeff incremented by the constant scalar

Template Parameters

T	is the scalar type of scalar. It must be compatible with the scalar type of the given expression.

Example:

Array3d v(1,2,3);

cout << v+5 << endl;

Output:

6
7
8

See also: operator+=(), operator-()

◆ 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-() [1/3]

template<typename Derived>

const NegativeReturnType Eigen::ArrayBase< Derived >::operator- ( ) const

inline

Returns: an expression of the opposite of *this

◆ operator-() [2/3]

template<typename Derived>

template<typename OtherDerived>

const CwiseBinaryOp< difference< Scalar >, const Derived, const OtherDerived > Eigen::ArrayBase< Derived >::operator- ( const Eigen::ArrayBase< OtherDerived > & other ) const

Returns: an expression of the difference of *this and other

Note: If you want to substract a given scalar from all coefficients, see Cwise::operator-().

See also: class CwiseBinaryOp, operator-=()

◆ operator-() [3/3]

template<typename Derived>

template<typename T>

const CwiseBinaryOp< internal::scalar_difference_op< Scalar, T >, Derived, Constant< T > > Eigen::ArrayBase< Derived >::operator- ( const T & scalar ) const

Returns: an expression of *this with each coeff decremented by the constant scalar

Template Parameters

T	is the scalar type of scalar. It must be compatible with the scalar type of the given expression.

Example:

Array3d v(1,2,3);

cout << v-5 << endl;

Output:

-4
-3
-2

See also: operator+=(), operator-()

◆ 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/() [1/2]

template<typename Derived>

template<typename OtherDerived>

const CwiseBinaryOp< internal::scalar_quotient_op< Scalar, typename OtherDerived::Scalar >, const Derived, const OtherDerived > Eigen::ArrayBase< Derived >::operator/ ( const Eigen::ArrayBase< OtherDerived > & other ) const

inline

Returns: an expression of the coefficient wise quotient of *this and other

See also: MatrixBase::cwiseQuotient

◆ operator/() [2/2]

template<typename Derived>

template<typename T>

const CwiseBinaryOp< internal::scalar_quotient_op< Scalar, T >, Derived, Constant< T > > Eigen::ArrayBase< Derived >::operator/ ( const T & scalar ) const

Returns: an expression of *this divided by the scalar value scalar

Template Parameters

T	is the scalar type of scalar. It must be compatible with the scalar type of the given expression.

◆ 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()

◆ operator^()

template<typename Derived>

template<typename OtherDerived>

const CwiseBinaryOp< internal::scalar_boolean_xor_op, const Derived, const OtherDerived > Eigen::ArrayBase< Derived >::operator^ ( const Eigen::ArrayBase< OtherDerived > & other ) const

inline

Returns: an expression of the coefficient-wise ^ operator of *this and other

Warning: this operator is for expression of bool only.

Example:

Array3d v(-1,2,1), w(-3,2,3);

cout << ((v<w) ^ (v<0)) << endl;

Output:

1
0
1

See also: operator&&(), select()

◆ operator||()

template<typename Derived>

template<typename OtherDerived>

const CwiseBinaryOp< internal::scalar_boolean_or_op, const Derived, const OtherDerived > Eigen::ArrayBase< Derived >::operator|| ( const Eigen::ArrayBase< OtherDerived > & other ) const

inline

Returns: an expression of the coefficient-wise boolean or operator of *this and other

Warning: this operator is for expression of bool only.

Example:

Array3d v(-1,2,1), w(-3,2,3);

cout << ((v<w) || (v<0)) << endl;

Output:

1
0
1

See also: operator&&(), select()

◆ pow() [1/2]

template<typename Derived>

template<typename OtherDerived>

const CwiseBinaryOp< pow< Scalar >, const Derived, const OtherDerived > Eigen::ArrayBase< Derived >::pow ( const Eigen::ArrayBase< OtherDerived > & other ) const

Returns: an expression of the coefficient-wise power of *this 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

◆ pow() [2/2]

template<typename Derived>

template<typename T>

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

Returns: an expression of the coefficients of *this rasied to the constant power exponent

Template Parameters

T	is the scalar type of exponent. It must be compatible with the scalar type of the given expression.

This function computes the coefficient-wise power. The function MatrixBase::pow() in the unsupported module MatrixFunctions computes the matrix power.

Example:

Array3d v(8,27,64);

cout << v.pow(0.333333) << endl;

Output:

2
3
4

See also: ArrayBase::pow(ArrayBase), square(), cube(), exp(), log()

◆ real() [1/2]

template<typename Derived>

NonConstRealReturnType Eigen::ArrayBase< Derived >::real ( )

inline

Returns: a non const expression of the real part of *this.

See also: imag()

◆ real() [2/2]

template<typename Derived>

RealReturnType Eigen::ArrayBase< Derived >::real ( ) const

inline

Returns: a read-only expression of the real part of *this.

See also: imag()

◆ round()

template<typename Derived>

const RoundReturnType Eigen::ArrayBase< Derived >::round ( ) const

inline

Returns: an expression of the coefficient-wise round of *this.

Example:

ArrayXd v = ArrayXd::LinSpaced(7,-2,2);
cout << v << endl << endl;
cout << round(v) << endl;

Output:

See also: Math functions, ceil(), floor()

◆ rsqrt()

template<typename Derived>

const RsqrtReturnType Eigen::ArrayBase< Derived >::rsqrt ( ) const

inline

Returns: an expression of the coefficient-wise inverse square root of *this.

This function computes the coefficient-wise inverse square root.

Example:

Array3d v(1,2,4);

cout << v.sqrt() << endl;

Output:

   1
1.41
   2

See also: pow(), square()

◆ sign()

template<typename Derived>

const SignReturnType Eigen::ArrayBase< Derived >::sign ( ) const

inline

Returns: an expression of the coefficient-wise signum of *this.

This function computes the coefficient-wise signum.

Example:

Array3d v(-3,5,0);

cout << v.sign() << endl;

Output:

-1
 1
 0

See also: pow(), square()

◆ sin()

template<typename Derived>

const SinReturnType Eigen::ArrayBase< Derived >::sin ( ) const

inline

Returns: an expression of the coefficient-wise sine of *this.

This function computes the coefficient-wise sine. The function MatrixBase::sin() in the unsupported module MatrixFunctions computes the matrix sine.

Example:

Array3d v(M_PI, M_PI/2, M_PI/3);

cout << v.sin() << endl;

Output:

1.22e-16
       1
   0.866

See also: Math functions, cos(), asin()

◆ sinh()

template<typename Derived>

const SinhReturnType Eigen::ArrayBase< Derived >::sinh ( ) const

inline

Returns: an expression of the coefficient-wise hyperbolic sin of *this.

Example:

ArrayXd v = ArrayXd::LinSpaced(5,0,1);

cout << sinh(v) << endl;

Eigen::ArrayBase::sinh

const SinhReturnType sinh() const

Definition ArrayBase.h:305

Output:

See also: Math functions, sin(), tanh(), cosh()

◆ sqrt()

template<typename Derived>

const SqrtReturnType Eigen::ArrayBase< Derived >::sqrt ( ) const

inline

Returns: an expression of the coefficient-wise square root of *this.

This function computes the coefficient-wise square root. The function MatrixBase::sqrt() in the unsupported module MatrixFunctions computes the matrix square root.

Example:

Array3d v(1,2,4);

cout << v.sqrt() << endl;

Output:

   1
1.41
   2

See also: Math functions, pow(), square()

◆ square()

template<typename Derived>

const SquareReturnType Eigen::ArrayBase< Derived >::square ( ) const

inline

Returns: an expression of the coefficient-wise square of *this.

Example:

Array3d v(2,3,4);

cout << v.square() << endl;

Output:

 4
 9
16

See also: Math functions, abs2(), cube(), pow()

◆ tan()

template<typename Derived>

const TanReturnType Eigen::ArrayBase< Derived >::tan ( ) const

inline

Returns: an expression of the coefficient-wise tan of *this.

Example:

Array3d v(M_PI, M_PI/2, M_PI/3);

cout << v.tan() << endl;

Output:

-1.22e-16
 1.63e+16
     1.73

See also: Math functions, cos(), sin()

◆ tanh()

template<typename Derived>

const TanhReturnType Eigen::ArrayBase< Derived >::tanh ( ) const

inline

Returns: an expression of the coefficient-wise hyperbolic tan of *this.

Example:

ArrayXd v = ArrayXd::LinSpaced(5,0,1);

cout << tanh(v) << endl;

Eigen::ArrayBase::tanh

const TanhReturnType tanh() const

Definition ArrayBase.h:291

Output:

See also: Math functions, tan(), sinh(), cosh()

◆ unaryExpr()

template<typename Derived>

template<typename CustomUnaryOp>

const CwiseUnaryOp< CustomUnaryOp, const Derived > Eigen::ArrayBase< Derived >::unaryExpr ( const CustomUnaryOp & func = CustomUnaryOp() ) const

inline

Apply a unary operator coefficient-wise.

Parameters

[in] func Functor implementing the unary operator

Template Parameters

CustomUnaryOp Type of func

Returns: An expression of a custom coefficient-wise unary operator func of *this

The function ptr_fun() from the C++ standard library can be used to make functors out of normal functions.

Example:

#include <Eigen/Core>
#include <iostream>
using namespace Eigen;
using namespace std;
 
// define function to be applied coefficient-wise
double ramp(double x)
{
  if (x > 0)
    return x;
  else 
    return 0;
}
 
int main(int, char**)
{
  Matrix4d m1 = Matrix4d::Random();
  cout << m1 << endl << "becomes: " << endl << m1.unaryExpr(ptr_fun(ramp)) << endl;
  return 0;
}

Output:

   0.68   0.823  -0.444   -0.27
 -0.211  -0.605   0.108  0.0268
  0.566   -0.33 -0.0452   0.904
  0.597   0.536   0.258   0.832
becomes: 
  0.68  0.823      0      0
     0      0  0.108 0.0268
 0.566      0      0  0.904
 0.597  0.536  0.258  0.832

Genuine functors allow for more possibilities, for instance it may contain a state.

Example:

#include <Eigen/Core>
#include <iostream>
using namespace Eigen;
using namespace std;
 
// define a custom template unary functor
template<typename Scalar>
struct CwiseClampOp {
  CwiseClampOp(const Scalar& inf, const Scalar& sup) : m_inf(inf), m_sup(sup) {}
  const Scalar operator()(const Scalar& x) const { return x<m_inf ? m_inf : (x>m_sup ? m_sup : x); }
  Scalar m_inf, m_sup;
};
 
int main(int, char**)
{
  Matrix4d m1 = Matrix4d::Random();
  cout << m1 << endl << "becomes: " << endl << m1.unaryExpr(CwiseClampOp<double>(-0.5,0.5)) << endl;
  return 0;
}

Output:

   0.68   0.823  -0.444   -0.27
 -0.211  -0.605   0.108  0.0268
  0.566   -0.33 -0.0452   0.904
  0.597   0.536   0.258   0.832
becomes: 
    0.5     0.5  -0.444   -0.27
 -0.211    -0.5   0.108  0.0268
    0.5   -0.33 -0.0452     0.5
    0.5     0.5   0.258     0.5

See also: unaryViewExpr, binaryExpr, class CwiseUnaryOp

◆ unaryViewExpr()

template<typename Derived>

template<typename CustomViewOp>

const CwiseUnaryView< CustomViewOp, const Derived > Eigen::ArrayBase< Derived >::unaryViewExpr ( const CustomViewOp & func = CustomViewOp() ) const

inline

Returns: an expression of a custom coefficient-wise unary operator func of *this

The template parameter CustomUnaryOp is the type of the functor of the custom unary operator.

Example:

#include <Eigen/Core>
#include <iostream>
using namespace Eigen;
using namespace std;
 
// define a custom template unary functor
template<typename Scalar>
struct CwiseClampOp {
  CwiseClampOp(const Scalar& inf, const Scalar& sup) : m_inf(inf), m_sup(sup) {}
  const Scalar operator()(const Scalar& x) const { return x<m_inf ? m_inf : (x>m_sup ? m_sup : x); }
  Scalar m_inf, m_sup;
};
 
int main(int, char**)
{
  Matrix4d m1 = Matrix4d::Random();
  cout << m1 << endl << "becomes: " << endl << m1.unaryExpr(CwiseClampOp<double>(-0.5,0.5)) << endl;
  return 0;
}

Output:

   0.68   0.823  -0.444   -0.27
 -0.211  -0.605   0.108  0.0268
  0.566   -0.33 -0.0452   0.904
  0.597   0.536   0.258   0.832
becomes: 
    0.5     0.5  -0.444   -0.27
 -0.211    -0.5   0.108  0.0268
    0.5   -0.33 -0.0452     0.5
    0.5     0.5   0.258     0.5

See also: unaryExpr, binaryExpr class CwiseUnaryOp

◆ zeta()

template<typename Derived>

template<typename DerivedQ>

const CwiseBinaryOp< internal::scalar_zeta_op< Scalar >, const Derived, const DerivedQ > Eigen::ArrayBase< Derived >::zeta ( const Eigen::ArrayBase< DerivedQ > & q ) const

inline

Returns: an expression of the coefficient-wise zeta function.

This is defined in the unsupported SpecialFunctions module.

#include <Eigen/SpecialFunctions>

It returns the Riemann zeta function of two arguments *this and q:

*this is the exponent, it must be > 1

Parameters

q	is the shift, it must be > 0

Note: This function supports only float and double scalar types. To support other scalar types, the user has to provide implementations of zeta(T,T) for any scalar type T to be supported.

This method is an alias for zeta(*this,q);

See also: Eigen::zeta()

Friends And Related Symbol Documentation

◆ 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:

/builds/libeigen/eigen/Eigen/src/Core/ArrayBase.h
/builds/libeigen/eigen/Eigen/src/Core/GlobalFunctions.h
/builds/libeigen/eigen/Eigen/src/Core/SelfCwiseBinaryOp.h

Detailed Description

Public Member Functions

Related Symbols

Additional Inherited Members

Member Function Documentation

◆ abs()

◆ abs2()

◆ acos()

◆ arg()

◆ asin()

◆ atan()

◆ binaryExpr()

◆ cast()

◆ ceil()

◆ conjugate()

◆ cos()

◆ cosh()

◆ cube()

◆ cwiseAbs()

◆ cwiseAbs2()

◆ cwiseEqual() [1/2]

◆ cwiseEqual() [2/2]

◆ cwiseInverse()

◆ cwiseMax() [1/2]

◆ cwiseMax() [2/2]

◆ cwiseMin() [1/2]

◆ cwiseMin() [2/2]

◆ cwiseNotEqual()

◆ cwiseProduct()

◆ cwiseQuotient()

◆ cwiseSign()

◆ cwiseSqrt()

◆ digamma()

◆ erf()

◆ erfc()

◆ exp()

◆ floor()

◆ imag() [1/2]

◆ imag() [2/2]

◆ inverse()

◆ isFinite()

◆ isInf()

◆ isNaN()

◆ lgamma()

◆ log()

◆ log10()

◆ log1p()

◆ matrix()

◆ max() [1/2]

◆ max() [2/2]

◆ min() [1/2]

◆ min() [2/2]

◆ operator!()

◆ operator&&()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator*=()

◆ operator+() [1/2]

◆ operator+() [2/2]

◆ operator+=()

◆ operator-() [1/3]

◆ operator-() [2/3]

◆ operator-() [3/3]

◆ operator-=()

◆ operator/() [1/2]

◆ operator/() [2/2]

◆ operator/=()

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ operator^()

◆ operator||()

◆ pow() [1/2]

◆ pow() [2/2]

◆ real() [1/2]

◆ real() [2/2]

◆ round()

◆ rsqrt()

◆ sign()

◆ sin()

◆ sinh()