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

#include <src/eigen/Eigen/src/Core/DenseBase.h>

Inheritance diagram for Eigen::DenseBase< Derived >:

Collaboration diagram for Eigen::DenseBase< Derived >:

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 , 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 Eigen::InnerIterator< Derived >	InnerIterator

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

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

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

typedef Scalar	value_type

typedef NumTraits< Scalar >::Real	RealScalar

typedef DenseCoeffsBase< Derived >	Base

typedef Base::CoeffReturnType	CoeffReturnType

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

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

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

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

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

typedef Transpose< Derived >	TransposeReturnType

typedef internal::add_const< Transpose< constDerived > >::type	ConstTransposeReturnType

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

typedef VectorwiseOp< Derived, Horizontal >	RowwiseReturnType

typedef const VectorwiseOp< const Derived, Horizontal >	ConstRowwiseReturnType

typedef VectorwiseOp< Derived, Vertical >	ColwiseReturnType

typedef const VectorwiseOp< const Derived, Vertical >	ConstColwiseReturnType

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

typedef Reverse< Derived, BothDirections >	ReverseReturnType

typedef const Reverse< const Derived, BothDirections >	ConstReverseReturnType

Public Member Functions
EIGEN_DEVICE_FUNC Index	nonZeros () const

EIGEN_DEVICE_FUNC Index	outerSize () const

EIGEN_DEVICE_FUNC Index	innerSize () const

EIGEN_DEVICE_FUNC void	resize (Index newSize)

EIGEN_DEVICE_FUNC void	resize (Index rows, Index cols)

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

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

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

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

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

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

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

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

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

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

EIGEN_DEVICE_FUNC TransposeReturnType	transpose ()

EIGEN_DEVICE_FUNC ConstTransposeReturnType	transpose () const

EIGEN_DEVICE_FUNC void	transposeInPlace ()

EIGEN_DEVICE_FUNC void	fill (const Scalar &value)

EIGEN_DEVICE_FUNC Derived &	setConstant (const Scalar &value)

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

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

EIGEN_DEVICE_FUNC Derived &	setZero ()

EIGEN_DEVICE_FUNC Derived &	setOnes ()

EIGEN_DEVICE_FUNC Derived &	setRandom ()

template<typename OtherDerived >
EIGEN_DEVICE_FUNC bool	isApprox (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 OtherDerived >
EIGEN_DEVICE_FUNC bool	isMuchSmallerThan (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

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

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

bool	hasNaN () const

bool	allFinite () const

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

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

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EvalReturnType	eval () const

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

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

EIGEN_DEVICE_FUNC const NestByValue< Derived >	nestByValue () const

EIGEN_DEVICE_FUNC const ForceAlignedAccess< Derived >	forceAlignedAccess () const

EIGEN_DEVICE_FUNC ForceAlignedAccess< Derived >	forceAlignedAccess ()

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

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

EIGEN_DEVICE_FUNC Scalar	sum () const

EIGEN_DEVICE_FUNC Scalar	mean () const

EIGEN_DEVICE_FUNC Scalar	trace () const

EIGEN_DEVICE_FUNC Scalar	prod () const

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

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

template<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	maxCoeff (IndexType row, IndexType col) const

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

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

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

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

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

EIGEN_DEVICE_FUNC CoeffReturnType	value () const

EIGEN_DEVICE_FUNC bool	all () const

EIGEN_DEVICE_FUNC bool	any () const

EIGEN_DEVICE_FUNC Index	count () const

EIGEN_DEVICE_FUNC ConstRowwiseReturnType	rowwise () const

EIGEN_DEVICE_FUNC RowwiseReturnType	rowwise ()

EIGEN_DEVICE_FUNC ConstColwiseReturnType	colwise () const

EIGEN_DEVICE_FUNC ColwiseReturnType	colwise ()

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

template<int p>
RealScalar	lpNorm () const

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

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

EIGEN_DEVICE_FUNC ReverseReturnType	reverse ()

EIGEN_DEVICE_FUNC ConstReverseReturnType	reverse () const

EIGEN_DEVICE_FUNC void	reverseInPlace ()

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

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

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

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

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

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

template<typename OtherDerived >
bool	isApprox (const DenseBase< OtherDerived > &other, const RealScalar &prec) const

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

template<typename OtherDerived >
bool	isMuchSmallerThan (const DenseBase< OtherDerived > &other, const RealScalar &prec) const

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

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

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

Static Public Member Functions
static EIGEN_DEVICE_FUNC const ConstantReturnType	Constant (Index rows, Index cols, const Scalar &value)

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

static EIGEN_DEVICE_FUNC const ConstantReturnType	Constant (const Scalar &value)

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

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

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

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

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

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

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

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

static EIGEN_DEVICE_FUNC const ConstantReturnType	Zero (Index size)

static EIGEN_DEVICE_FUNC const ConstantReturnType	Zero ()

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

static EIGEN_DEVICE_FUNC const ConstantReturnType	Ones (Index size)

static EIGEN_DEVICE_FUNC const ConstantReturnType	Ones ()

static const RandomReturnType	Random (Index rows, Index cols)

static const RandomReturnType	Random (Index size)

static const RandomReturnType	Random ()

Protected Member Functions
EIGEN_DEVICE_FUNC	DenseBase ()

Private Member Functions
EIGEN_DEVICE_FUNC	DenseBase (int)

EIGEN_DEVICE_FUNC	DenseBase (int, int)

template<typename OtherDerived >
EIGEN_DEVICE_FUNC	DenseBase (const DenseBase< OtherDerived > &)

Related Symbols
(Note that these are not member symbols.)
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 TopicCustomizing_Plugins by defining the preprocessor symbol EIGEN_DENSEBASE_PLUGIN.

See also: \blank TopicClassHierarchy

Member Typedef Documentation

◆ Base

template<typename Derived >

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

◆ CoeffReturnType

template<typename Derived >

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

◆ ColwiseReturnType

template<typename Derived >

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

◆ ConstantReturnType

template<typename Derived >

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

◆ ConstColwiseReturnType

template<typename Derived >

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

◆ ConstReverseReturnType

template<typename Derived >

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

◆ ConstRowwiseReturnType

template<typename Derived >

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

◆ ConstTransposeReturnType

template<typename Derived >

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

◆ EigenvaluesReturnType

template<typename Derived >

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

◆ EvalReturnType

template<typename Derived >

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

◆ 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

◆ PacketScalar

template<typename Derived >

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

◆ 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

◆ 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

◆ PlainObject

template<typename Derived >

typedef internal::conditional<internal::is_same<typenameinternal::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&.

◆ RandomAccessLinSpacedReturnType

template<typename Derived >

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

◆ RandomReturnType

template<typename Derived >

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

◆ RealScalar

template<typename Derived >

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

◆ ReverseReturnType

template<typename Derived >

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

◆ RowwiseReturnType

template<typename Derived >

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

◆ 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.

◆ SequentialLinSpacedReturnType

template<typename Derived >

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

◆ 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 TopicPreprocessorDirectives, Eigen::Index, SparseMatrixBase.

◆ StorageKind

template<typename Derived >

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

◆ TransposeReturnType

template<typename Derived >

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

◆ 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

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).
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

         {
 
      RowsAtCompileTime = internal::traits<Derived>::RowsAtCompileTime,
      ColsAtCompileTime = internal::traits<Derived>::ColsAtCompileTime,
      SizeAtCompileTime = (internal::size_at_compile_time<internal::traits<Derived>::RowsAtCompileTime,
                                                   internal::traits<Derived>::ColsAtCompileTime>::ret),
      MaxRowsAtCompileTime = internal::traits<Derived>::MaxRowsAtCompileTime,
      MaxColsAtCompileTime = internal::traits<Derived>::MaxColsAtCompileTime,
      MaxSizeAtCompileTime = (internal::size_at_compile_time<internal::traits<Derived>::MaxRowsAtCompileTime,
                                                      internal::traits<Derived>::MaxColsAtCompileTime>::ret),
      IsVectorAtCompileTime = internal::traits<Derived>::MaxRowsAtCompileTime == 1
                           || internal::traits<Derived>::MaxColsAtCompileTime == 1,
      Flags = internal::traits<Derived>::Flags,
      IsRowMajor = int(Flags) & RowMajorBit, 
      InnerSizeAtCompileTime = int(IsVectorAtCompileTime) ? int(SizeAtCompileTime)
                             : int(IsRowMajor) ? int(ColsAtCompileTime) : int(RowsAtCompileTime),
 
      InnerStrideAtCompileTime = internal::inner_stride_at_compile_time<Derived>::ret,
      OuterStrideAtCompileTime = internal::outer_stride_at_compile_time<Derived>::ret
    };

◆ anonymous enum

template<typename Derived >

anonymous enum

Enumerator
IsPlainObjectBase

176{ IsPlainObjectBase = 0 };

Eigen::DenseBase::IsPlainObjectBase

@ IsPlainObjectBase

Definition DenseBase.h:176

Constructor & Destructor Documentation

◆ DenseBase() [1/4]

template<typename Derived >

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

inlineprotected

Default constructor. Do nothing.

    {
      /* Just checks for self-consistency of the flags.
       * Only do it when debugging Eigen, as this borders on paranoiac and could slow compilation down
       */
#ifdef EIGEN_INTERNAL_DEBUGGING
      EIGEN_STATIC_ASSERT((EIGEN_IMPLIES(MaxRowsAtCompileTime==1 && MaxColsAtCompileTime!=1, int(IsRowMajor))
                        && EIGEN_IMPLIES(MaxColsAtCompileTime==1 && MaxRowsAtCompileTime!=1, int(!IsRowMajor))),
                          INVALID_STORAGE_ORDER_FOR_THIS_VECTOR_EXPRESSION)
#endif
    }

References EIGEN_IMPLIES, EIGEN_STATIC_ASSERT, Eigen::DenseBase< Derived >::IsRowMajor, Eigen::DenseBase< Derived >::MaxColsAtCompileTime, and Eigen::DenseBase< Derived >::MaxRowsAtCompileTime.

◆ 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 >

bool Eigen::DenseBase< Derived >::all

inline

Returns: true if all coefficients are true

Example:

Output:

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

{
  typedef internal::evaluator<Derived> Evaluator;
  enum {
    unroll = SizeAtCompileTime != Dynamic
          && SizeAtCompileTime * (Evaluator::CoeffReadCost + NumTraits<Scalar>::AddCost) <= EIGEN_UNROLLING_LIMIT
  };
  Evaluator evaluator(derived());
  if(unroll)
    return internal::all_unroller<Evaluator, unroll ? int(SizeAtCompileTime) : Dynamic>::run(evaluator);
  else
  {
    for(Index j = 0; j < cols(); ++j)
      for(Index i = 0; i < rows(); ++i)
        if (!evaluator.coeff(i, j)) return false;
    return true;
  }
}

References Eigen::Dynamic, and EIGEN_UNROLLING_LIMIT.

◆ 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()

{
#if EIGEN_COMP_MSVC || (defined __FAST_MATH__)
  return derived().array().isFinite().all();
#else
  return !((derived()-derived()).hasNaN());
#endif
}

◆ any()

template<typename Derived >

bool Eigen::DenseBase< Derived >::any

inline

Returns: true if at least one coefficient is true

See also: all()

{
  typedef internal::evaluator<Derived> Evaluator;
  enum {
    unroll = SizeAtCompileTime != Dynamic
          && SizeAtCompileTime * (Evaluator::CoeffReadCost + NumTraits<Scalar>::AddCost) <= EIGEN_UNROLLING_LIMIT
  };
  Evaluator evaluator(derived());
  if(unroll)
    return internal::any_unroller<Evaluator, unroll ? int(SizeAtCompileTime) : Dynamic>::run(evaluator);
  else
  {
    for(Index j = 0; j < cols(); ++j)
      for(Index i = 0; i < rows(); ++i)
        if (evaluator.coeff(i, j)) return true;
    return false;
  }
}

References Eigen::Dynamic, and EIGEN_UNROLLING_LIMIT.

◆ colwise() [1/2]

template<typename Derived >

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

inline

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

See also: rowwise(), class VectorwiseOp, TutorialReductionsVisitorsBroadcasting

{
  return ColwiseReturnType(derived());
}

◆ colwise() [2/2]

template<typename Derived >

EIGEN_DEVICE_FUNC ConstColwiseReturnType Eigen::DenseBase< Derived >::colwise ( ) const

inline

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

Example:

Output:

See also: rowwise(), class VectorwiseOp, TutorialReductionsVisitorsBroadcasting

                                                                    {
      return ConstColwiseReturnType(derived());
    }

Referenced by igl::bounding_box(), igl::copyleft::offset_surface(), and Eigen::umeyama().

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◆ Constant() [1/3]

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const 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

{
  EIGEN_STATIC_ASSERT_FIXED_SIZE(Derived)
  return DenseBase<Derived>::NullaryExpr(RowsAtCompileTime, ColsAtCompileTime, internal::scalar_constant_op<Scalar>(value));
}

References EIGEN_STATIC_ASSERT_FIXED_SIZE, and Eigen::DenseBase< Derived >::NullaryExpr().

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◆ Constant() [2/3]

template<typename Derived >

EIGEN_STRONG_INLINE const 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

{
  return DenseBase<Derived>::NullaryExpr(rows, cols, internal::scalar_constant_op<Scalar>(value));
}

References Eigen::DenseBase< Derived >::NullaryExpr().

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◆ Constant() [3/3]

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const 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

{
  return DenseBase<Derived>::NullaryExpr(size, internal::scalar_constant_op<Scalar>(value));
}

References Eigen::DenseBase< Derived >::NullaryExpr().

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◆ count()

template<typename Derived >

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

inline

Returns: the number of coefficients which evaluate to true

See also: all(), any()

{
  return derived().template cast<bool>().template cast<Index>().sum();
}

◆ 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 carefull with eval() and the auto C++ keyword, as detailed in this page .

    {
      // Even though MSVC does not honor strong inlining when the return type
      // is a dynamic matrix, we desperately need strong inlining for fixed
      // size types on MSVC.
      return typename internal::eval<Derived>::type(derived());
    }

◆ evalTo()

template<typename Derived >

template<typename Dest >

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

inline

    {
      EIGEN_STATIC_ASSERT((internal::is_same<Dest,void>::value),THE_EVAL_EVALTO_FUNCTION_SHOULD_NEVER_BE_CALLED_FOR_DENSE_OBJECTS);
    }

References EIGEN_STATIC_ASSERT.

◆ 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

{
  setConstant(val);
}

◆ flagged()

template<typename Derived >

template<unsigned int Added, unsigned int Removed>

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

inline

313 { return derived(); }

◆ forceAlignedAccess() [1/2]

template<typename Derived >

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

inline

◆ forceAlignedAccess() [2/2]

template<typename Derived >

EIGEN_DEVICE_FUNC const 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>

EIGEN_DEVICE_FUNC const 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

    {
      return WithFormat<Derived>(derived(), fmt);
    }

Referenced by igl::matlab_format(), and igl::writeOBJ().

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◆ 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()

{
#if EIGEN_COMP_MSVC || (defined __FAST_MATH__)
  return derived().array().isNaN().any();
#else
  return !((derived().array()==derived().array()).all());
#endif
}

◆ innerSize()

template<typename Derived >

EIGEN_DEVICE_FUNC 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.

    {
      return IsVectorAtCompileTime ? this->size()
           : int(IsRowMajor) ? this->cols() : this->rows();
    }

References Eigen::DenseBase< Derived >::IsRowMajor, and Eigen::DenseBase< Derived >::IsVectorAtCompileTime.

◆ isApprox() [1/2]

template<typename Derived >

template<typename OtherDerived >

bool Eigen::DenseBase< Derived >::isApprox	(	const DenseBase< OtherDerived > &	other,
		const RealScalar &	prec
	)		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

{
  return internal::isApprox_selector<Derived, OtherDerived>::run(derived(), other.derived(), prec);
}

References Eigen::internal::isApprox_selector< Derived, OtherDerived, is_integer >::run().

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◆ isApprox() [2/2]

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

◆ 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

{
  typename internal::nested_eval<Derived,1>::type self(derived());
  for(Index j = 0; j < cols(); ++j)
    for(Index i = 0; i < rows(); ++i)
      if(!internal::isApprox(self.coeff(i, j), val, prec))
        return false;
  return true;
}

References Eigen::internal::isApprox().

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◆ 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

{
  return isApproxToConstant(val, prec);
}

◆ isMuchSmallerThan() [1/4]

template<typename Derived >

template<typename OtherDerived >

bool Eigen::DenseBase< Derived >::isMuchSmallerThan	(	const DenseBase< OtherDerived > &	other,
		const RealScalar &	prec
	)		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

{
  return internal::isMuchSmallerThan_object_selector<Derived, OtherDerived>::run(derived(), other.derived(), prec);
}

References Eigen::internal::isMuchSmallerThan_object_selector< Derived, OtherDerived, is_integer >::run().

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◆ isMuchSmallerThan() [2/4]

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

◆ isMuchSmallerThan() [3/4]

template<typename Derived >

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

◆ isMuchSmallerThan() [4/4]

template<typename Derived >

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

{
  return internal::isMuchSmallerThan_scalar_selector<Derived>::run(derived(), other, prec);
}

References Eigen::internal::isMuchSmallerThan_scalar_selector< Derived, is_integer >::run().

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◆ 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:

Output:

See also: class CwiseNullaryOp, Ones()

{
  return isApproxToConstant(Scalar(1), prec);
}

◆ 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:

Output:

See also: class CwiseNullaryOp, Zero()

{
  typename internal::nested_eval<Derived,1>::type self(derived());
  for(Index j = 0; j < cols(); ++j)
    for(Index i = 0; i < rows(); ++i)
      if(!internal::isMuchSmallerThan(self.coeff(i, j), static_cast<Scalar>(1), prec))
        return false;
  return true;
}

References Eigen::internal::isMuchSmallerThan().

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◆ lazyAssign() [1/2]

template<typename Derived >

template<typename OtherDerived >

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

{
  enum{
    SameType = internal::is_same<typename Derived::Scalar,typename OtherDerived::Scalar>::value
  };
 
  EIGEN_STATIC_ASSERT_LVALUE(Derived)
  EIGEN_STATIC_ASSERT_SAME_MATRIX_SIZE(Derived,OtherDerived)
  EIGEN_STATIC_ASSERT(SameType,YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY)
 
  eigen_assert(rows() == other.rows() && cols() == other.cols());
  internal::call_assignment_no_alias(derived(),other.derived());
  
  return derived();
}

References Eigen::internal::call_assignment_no_alias(), eigen_assert, EIGEN_STATIC_ASSERT, EIGEN_STATIC_ASSERT_LVALUE, and EIGEN_STATIC_ASSERT_SAME_MATRIX_SIZE.

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◆ lazyAssign() [2/2]

template<typename Derived >

template<typename OtherDerived >

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

◆ LinSpaced() [1/4]

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const 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:

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:

Output:

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

{
  EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
  EIGEN_STATIC_ASSERT_FIXED_SIZE(Derived)
  return DenseBase<Derived>::NullaryExpr(Derived::SizeAtCompileTime, internal::linspaced_op<Scalar,PacketScalar>(low,high,Derived::SizeAtCompileTime));
}

References EIGEN_STATIC_ASSERT_FIXED_SIZE, EIGEN_STATIC_ASSERT_VECTOR_ONLY, and Eigen::DenseBase< Derived >::NullaryExpr().

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◆ LinSpaced() [2/4]

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const 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:

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:

Output:

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

{
  EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
  return DenseBase<Derived>::NullaryExpr(size, internal::linspaced_op<Scalar,PacketScalar>(low,high,size));
}

◆ LinSpaced() [3/4]

template<typename Derived >

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

static

See also: LinSpaced(Scalar,Scalar)

{
  EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
  EIGEN_STATIC_ASSERT_FIXED_SIZE(Derived)
  return DenseBase<Derived>::NullaryExpr(Derived::SizeAtCompileTime, internal::linspaced_op<Scalar,PacketScalar>(low,high,Derived::SizeAtCompileTime));
}

References EIGEN_STATIC_ASSERT_FIXED_SIZE, EIGEN_STATIC_ASSERT_VECTOR_ONLY, and Eigen::DenseBase< Derived >::NullaryExpr().

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◆ LinSpaced() [4/4]

template<typename Derived >

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

static

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

{
  EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
  return DenseBase<Derived>::NullaryExpr(size, internal::linspaced_op<Scalar,PacketScalar>(low,high,size));
}

References EIGEN_STATIC_ASSERT_VECTOR_ONLY, and Eigen::DenseBase< Derived >::NullaryExpr().

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◆ lpNorm()

template<typename Derived >

template<int p>

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

◆ maxCoeff() [1/3]

template<typename Derived >

EIGEN_STRONG_INLINE internal::traits< Derived >::Scalar Eigen::DenseBase< Derived >::maxCoeff

Returns: the maximum of all coefficients of *this.

Warning: the result is undefined if *this contains NaN.

{
  return derived().redux(Eigen::internal::scalar_max_op<Scalar,Scalar>());
}

Referenced by igl::copyleft::cgal::half_space_box(), igl::isolines(), igl::min_quad_with_fixed_precompute(), igl::octree(), Eigen::internal::lpNorm_selector< Derived, Infinity >::run(), and igl::slice().

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◆ maxCoeff() [2/3]

template<typename Derived >

template<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.

Warning: the result is undefined if *this contains NaN.

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

{
  EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
  internal::max_coeff_visitor<Derived> maxVisitor;
  this->visit(maxVisitor);
  *index = (RowsAtCompileTime==1) ? maxVisitor.col : maxVisitor.row;
  return maxVisitor.res;
}

References Eigen::internal::coeff_visitor< Derived >::col, EIGEN_STATIC_ASSERT_VECTOR_ONLY, Eigen::internal::coeff_visitor< Derived >::res, and Eigen::internal::coeff_visitor< Derived >::row.

◆ maxCoeff() [3/3]

template<typename Derived >

template<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.

Warning: the result is undefined if *this contains NaN.

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

{
  internal::max_coeff_visitor<Derived> maxVisitor;
  this->visit(maxVisitor);
  *rowPtr = maxVisitor.row;
  if (colPtr) *colPtr = maxVisitor.col;
  return maxVisitor.res;
}

References Eigen::internal::coeff_visitor< Derived >::col, Eigen::internal::coeff_visitor< Derived >::res, and Eigen::internal::coeff_visitor< Derived >::row.

◆ mean()

template<typename Derived >

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

Returns: the mean of all coefficients of *this

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

{
#ifdef __INTEL_COMPILER
  #pragma warning push
  #pragma warning ( disable : 2259 )
#endif
  return Scalar(derived().redux(Eigen::internal::scalar_sum_op<Scalar,Scalar>())) / Scalar(this->size());
#ifdef __INTEL_COMPILER
  #pragma warning pop
#endif
}

◆ minCoeff() [1/3]

template<typename Derived >

EIGEN_STRONG_INLINE internal::traits< Derived >::Scalar Eigen::DenseBase< Derived >::minCoeff

Returns: the minimum of all coefficients of *this.

Warning: the result is undefined if *this contains NaN.

{
  return derived().redux(Eigen::internal::scalar_min_op<Scalar,Scalar>());
}

Referenced by igl::copyleft::cgal::half_space_box(), igl::isolines(), igl::min_quad_with_fixed_precompute(), igl::octree(), and igl::slice().

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◆ minCoeff() [2/3]

template<typename Derived >

template<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.

Warning: the result is undefined if *this contains NaN.

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

{
  EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
  internal::min_coeff_visitor<Derived> minVisitor;
  this->visit(minVisitor);
  *index = IndexType((RowsAtCompileTime==1) ? minVisitor.col : minVisitor.row);
  return minVisitor.res;
}

References Eigen::internal::coeff_visitor< Derived >::col, EIGEN_STATIC_ASSERT_VECTOR_ONLY, Eigen::internal::coeff_visitor< Derived >::res, and Eigen::internal::coeff_visitor< Derived >::row.

◆ minCoeff() [3/3]

template<typename Derived >

template<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.

Warning: the result is undefined if *this contains NaN.

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

{
  internal::min_coeff_visitor<Derived> minVisitor;
  this->visit(minVisitor);
  *rowId = minVisitor.row;
  if (colId) *colId = minVisitor.col;
  return minVisitor.res;
}

References Eigen::internal::coeff_visitor< Derived >::col, Eigen::internal::coeff_visitor< Derived >::res, and Eigen::internal::coeff_visitor< Derived >::row.

◆ nestByValue()

template<typename Derived >

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

inline

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

{
  return NestByValue<Derived>(derived());
}

◆ nonZeros()

template<typename Derived >

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

inline

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

210{ return size(); }

◆ NullaryExpr() [1/6]

template<typename Derived >

template<typename CustomNullaryOp >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const 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

{
  return CwiseNullaryOp<CustomNullaryOp, PlainObject>(RowsAtCompileTime, ColsAtCompileTime, func);
}

◆ NullaryExpr() [2/6]

template<typename Derived >

template<typename CustomNullaryOp >

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

static

◆ NullaryExpr() [3/6]

template<typename Derived >

template<typename CustomNullaryOp >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const 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

{
  return CwiseNullaryOp<CustomNullaryOp, PlainObject>(rows, cols, func);
}

◆ NullaryExpr() [4/6]

template<typename Derived >

template<typename CustomNullaryOp >

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

static

Referenced by Eigen::DenseBase< Derived >::Constant(), Eigen::DenseBase< Derived >::Constant(), Eigen::DenseBase< Derived >::Constant(), Eigen::MatrixBase< Derived >::Identity(), Eigen::MatrixBase< Derived >::Identity(), Eigen::DenseBase< Derived >::LinSpaced(), Eigen::DenseBase< Derived >::LinSpaced(), and Eigen::DenseBase< Derived >::LinSpaced().

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◆ NullaryExpr() [5/6]

template<typename Derived >

template<typename CustomNullaryOp >

EIGEN_STRONG_INLINE const 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:

Output:

See also: class CwiseNullaryOp

{
  EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
  if(RowsAtCompileTime == 1) return CwiseNullaryOp<CustomNullaryOp, PlainObject>(1, size, func);
  else return CwiseNullaryOp<CustomNullaryOp, PlainObject>(size, 1, func);
}

References EIGEN_STATIC_ASSERT_VECTOR_ONLY.

◆ NullaryExpr() [6/6]

template<typename Derived >

template<typename CustomNullaryOp >

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

static

◆ Ones() [1/3]

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const 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:

Output:

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

{
  return Constant(Scalar(1));
}

◆ Ones() [2/3]

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const 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:

Output:

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

{
  return Constant(rows, cols, Scalar(1));
}

◆ Ones() [3/3]

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const 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:

Output:

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

{
  return Constant(newSize, Scalar(1));
}

◆ operator*=()

template<typename Derived >

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

{
  internal::call_assignment(this->derived(), PlainObject::Constant(rows(),cols(),other), internal::mul_assign_op<Scalar,Scalar>());
  return derived();
}

References Eigen::internal::call_assignment().

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◆ operator+=()

template<typename Derived >

template<typename OtherDerived >

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

{
  call_assignment(derived(), other.derived(), internal::add_assign_op<Scalar,typename OtherDerived::Scalar>());
  return derived();
}

References Eigen::EigenBase< Derived >::derived().

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◆ operator-=()

template<typename Derived >

template<typename OtherDerived >

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

{
  call_assignment(derived(), other.derived(), internal::sub_assign_op<Scalar,typename OtherDerived::Scalar>());
  return derived();
}

References Eigen::EigenBase< Derived >::derived().

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◆ operator/=()

template<typename Derived >

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

{
  internal::call_assignment(this->derived(), PlainObject::Constant(rows(),cols(),other), internal::div_assign_op<Scalar,Scalar>());
  return derived();
}

References Eigen::internal::call_assignment().

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◆ operator<<() [1/3]

template<typename Derived >

template<typename OtherDerived >

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

inline

See also: operator<<(const Scalar&)

{
  return CommaInitializer<Derived>(*static_cast<Derived *>(this), other);
}

◆ operator<<() [2/3]

template<typename Derived >

template<typename OtherDerived >

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

◆ operator<<() [3/3]

template<typename Derived >

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:

Output:

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

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

{
  return CommaInitializer<Derived>(*static_cast<Derived*>(this), s);
}

◆ operator=() [1/5]

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)

{
  internal::call_assignment(derived(), other.derived());
  return derived();
}

References Eigen::internal::call_assignment().

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◆ operator=() [2/5]

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.

{
  internal::call_assignment(derived(), other.derived());
  return derived();
}

References Eigen::internal::call_assignment().

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◆ operator=() [3/5]

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.

{
  call_assignment(derived(), other.derived());
  return derived();
}

References Eigen::EigenBase< Derived >::derived().

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◆ operator=() [4/5]

template<typename Derived >

template<typename OtherDerived >

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

◆ operator=() [5/5]

template<typename Derived >

template<typename OtherDerived >

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

{
  other.evalTo(derived());
  return derived();
}

References Eigen::ReturnByValue< Derived >::evalTo().

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◆ outerSize()

template<typename Derived >

EIGEN_DEVICE_FUNC 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.

    {
      return IsVectorAtCompileTime ? 1
           : int(IsRowMajor) ? this->rows() : this->cols();
    }

References Eigen::DenseBase< Derived >::IsRowMajor, and Eigen::DenseBase< Derived >::IsVectorAtCompileTime.

◆ prod()

template<typename Derived >

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

Returns: the product of all coefficients of *this

Example:

Output:

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

{
  if(SizeAtCompileTime==0 || (SizeAtCompileTime==Dynamic && size()==0))
    return Scalar(1);
  return derived().redux(Eigen::internal::scalar_product_op<Scalar>());
}

References Eigen::Dynamic.

◆ 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:

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)

{
  return NullaryExpr(RowsAtCompileTime, ColsAtCompileTime, internal::scalar_random_op<Scalar>());
}

◆ 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:

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()

{
  return NullaryExpr(rows, cols, internal::scalar_random_op<Scalar>());
}

◆ 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:

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()

{
  return NullaryExpr(size, internal::scalar_random_op<Scalar>());
}

◆ redux() [1/2]

template<typename Derived >

template<typename BinaryOp >

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

Referenced by Eigen::internal::member_redux< BinaryOp, Scalar >::operator()().

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◆ redux() [2/2]

template<typename Derived >

template<typename 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.

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

{
  eigen_assert(this->rows()>0 && this->cols()>0 && "you are using an empty matrix");
 
  typedef typename internal::redux_evaluator<Derived> ThisEvaluator;
  ThisEvaluator thisEval(derived());
  
  return internal::redux_impl<Func, ThisEvaluator>::run(thisEval, func);
}

References eigen_assert.

◆ replicate() [1/3]

template<typename Derived >

template<int RowFactor, int ColFactor>

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

Referenced by igl::min_quad_with_fixed_solve().

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◆ replicate() [2/3]

template<typename Derived >

template<int RowFactor, int ColFactor>

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

Returns: an expression of the replication of *this

Example:

Output:

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

{
  return Replicate<Derived,RowFactor,ColFactor>(derived());
}

◆ replicate() [3/3]

template<typename Derived >

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

inline

Returns: an expression of the replication of *this

Example:

Output:

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

    {
      return Replicate<Derived, Dynamic, Dynamic>(derived(), rowFactor, colFactor);
    }

◆ 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.

    {
      EIGEN_ONLY_USED_FOR_DEBUG(newSize);
      eigen_assert(newSize == this->size()
                && "DenseBase::resize() does not actually allow to resize.");
    }

References eigen_assert, and EIGEN_ONLY_USED_FOR_DEBUG.

Referenced by Eigen::TriangularBase< Derived >::evalToLazy(), igl::find(), and igl::slice_tets().

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◆ 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.

    {
      EIGEN_ONLY_USED_FOR_DEBUG(rows);
      EIGEN_ONLY_USED_FOR_DEBUG(cols);
      eigen_assert(rows == this->rows() && cols == this->cols()
                && "DenseBase::resize() does not actually allow to resize.");
    }

References eigen_assert, and EIGEN_ONLY_USED_FOR_DEBUG.

◆ reverse() [1/2]

template<typename Derived >

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

inline

Returns: an expression of the reverse of *this.

Example:

Output:

{
  return ReverseReturnType(derived());
}

◆ reverse() [2/2]

template<typename Derived >

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

inline

This is the const version of reverse().

    {
      return ConstReverseReturnType(derived());
    }

◆ reverseInPlace()

template<typename Derived >

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()

{
  if(cols()>rows())
  {
    Index half = cols()/2;
    leftCols(half).swap(rightCols(half).reverse());
    if((cols()%2)==1)
    {
      Index half2 = rows()/2;
      col(half).head(half2).swap(col(half).tail(half2).reverse());
    }
  }
  else
  {
    Index half = rows()/2;
    topRows(half).swap(bottomRows(half).reverse());
    if((rows()%2)==1)
    {
      Index half2 = cols()/2;
      row(half).head(half2).swap(row(half).tail(half2).reverse());
    }
  }
}

References bottomRows(), col(), leftCols(), rightCols(), row(), tail(), and topRows().

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◆ rowwise() [1/2]

template<typename Derived >

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

inline

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

See also: colwise(), class VectorwiseOp, TutorialReductionsVisitorsBroadcasting

{
  return RowwiseReturnType(derived());
}

◆ rowwise() [2/2]

template<typename Derived >

EIGEN_DEVICE_FUNC ConstRowwiseReturnType Eigen::DenseBase< Derived >::rowwise ( ) const

inline

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

Example:

Output:

See also: colwise(), class VectorwiseOp, TutorialReductionsVisitorsBroadcasting

                                                                    {
      return ConstRowwiseReturnType(derived());
    }

Referenced by igl::normalize_row_sums(), and Eigen::umeyama().

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◆ select() [1/3]

template<typename Derived >

template<typename ThenDerived , typename ElseDerived >

const 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:

Output:

See also: class Select

{
  return Select<Derived,ThenDerived,ElseDerived>(derived(), thenMatrix.derived(), elseMatrix.derived());
}

◆ select() [2/3]

template<typename Derived >

template<typename ThenDerived >

const 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

{
  return Select<Derived,ThenDerived,typename ThenDerived::ConstantReturnType>(
    derived(), thenMatrix.derived(), ThenDerived::Constant(rows(),cols(),elseScalar));
}

◆ select() [3/3]

template<typename Derived >

template<typename ElseDerived >

const 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

{
  return Select<Derived,typename ElseDerived::ConstantReturnType,ElseDerived>(
    derived(), ElseDerived::Constant(rows(),cols(),thenScalar), elseMatrix.derived());
}

◆ 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()

{
  return derived() = Constant(rows(), cols(), val);
}

Referenced by Eigen::ArrayBase< Derived >::operator=().

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◆ 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

{
  EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
  return setLinSpaced(size(), low, high);
}

References EIGEN_STATIC_ASSERT_VECTOR_ONLY.

◆ 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:

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

{
  EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
  return derived() = Derived::NullaryExpr(newSize, internal::linspaced_op<Scalar,PacketScalar>(low,high,newSize));
}

References EIGEN_STATIC_ASSERT_VECTOR_ONLY.

◆ setOnes()

template<typename Derived >

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

Sets all coefficients in this expression to one.

Example:

Output:

See also: class CwiseNullaryOp, Ones()

{
  return setConstant(Scalar(1));
}

◆ setRandom()

template<typename Derived >

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:

Output:

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

{
  return *this = Random(rows(), cols());
}

◆ setZero()

template<typename Derived >

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

Sets all coefficients in this expression to zero.

Example:

Output:

See also: class CwiseNullaryOp, Zero()

{
  return setConstant(Scalar(0));
}

Referenced by Eigen::SPQR< _MatrixType >::_solve_impl(), Eigen::PermutationBase< Derived >::evalTo(), and Eigen::InverseImpl< PermutationType, PermutationStorage >::evalTo().

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◆ sum()

template<typename Derived >

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()

{
  if(SizeAtCompileTime==0 || (SizeAtCompileTime==Dynamic && size()==0))
    return Scalar(0);
  return derived().redux(Eigen::internal::scalar_sum_op<Scalar,Scalar>());
}

References Eigen::Dynamic.

Referenced by igl::normalize_row_sums(), and Eigen::internal::lpNorm_selector< Derived, 1 >::run().

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◆ swap() [1/2]

template<typename Derived >

template<typename OtherDerived >

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

inline

swaps *this with the expression other.

    {
      EIGEN_STATIC_ASSERT(!OtherDerived::IsPlainObjectBase,THIS_EXPRESSION_IS_NOT_A_LVALUE__IT_IS_READ_ONLY);
      eigen_assert(rows()==other.rows() && cols()==other.cols());
      call_assignment(derived(), other.const_cast_derived(), internal::swap_assign_op<Scalar>());
    }

References eigen_assert, and EIGEN_STATIC_ASSERT.

Referenced by Eigen::internal::conservative_resize_like_impl< Derived, OtherDerived, IsVector >::run(), and Eigen::internal::conservative_resize_like_impl< Derived, OtherDerived, IsVector >::run().

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◆ swap() [2/2]

template<typename Derived >

template<typename OtherDerived >

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

inline

swaps *this with the matrix or array other.

    {
      eigen_assert(rows()==other.rows() && cols()==other.cols());
      call_assignment(derived(), other.derived(), internal::swap_assign_op<Scalar>());
    }

References Eigen::PlainObjectBase< Derived >::cols(), eigen_assert, and Eigen::PlainObjectBase< Derived >::rows().

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◆ trace()

template<typename Derived >

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

◆ transpose() [1/2]

template<typename Derived >

Transpose< Derived > Eigen::DenseBase< Derived >::transpose

inline

Returns: an expression of the transpose of *this.

Example:

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()

{
  return TransposeReturnType(derived());
}

Referenced by igl::AABB< DerivedV, DIM >::find(), igl::AABB< DerivedV, DIM >::init(), igl::project(), igl::signed_distance_winding_number(), and igl::unproject().

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◆ transpose() [2/2]

template<typename Derived >

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

inline

This is the const version of transpose().

Make sure you read the warning for transpose() !

See also: transposeInPlace(), adjoint()

{
  return ConstTransposeReturnType(derived());
}

◆ transposeInPlace()

template<typename Derived >

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()

{
  eigen_assert((rows() == cols() || (RowsAtCompileTime == Dynamic && ColsAtCompileTime == Dynamic))
               && "transposeInPlace() called on a non-square non-resizable matrix");
  internal::inplace_transpose_selector<Derived>::run(derived());
}

References Eigen::Dynamic, and eigen_assert.

◆ value()

template<typename Derived >

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

inline

Returns: the unique coefficient of a 1x1 expression

    {
      EIGEN_STATIC_ASSERT_SIZE_1x1(Derived)
      eigen_assert(this->rows() == 1 && this->cols() == 1);
      return derived().coeff(0,0);
    }

References eigen_assert, and EIGEN_STATIC_ASSERT_SIZE_1x1.

Referenced by igl::find(), and Eigen::ArrayBase< Derived >::operator=().

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◆ 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.

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

{
  typedef typename internal::visitor_evaluator<Derived> ThisEvaluator;
  ThisEvaluator thisEval(derived());
  
  enum {
    unroll =  SizeAtCompileTime != Dynamic
           && SizeAtCompileTime * ThisEvaluator::CoeffReadCost + (SizeAtCompileTime-1) * internal::functor_traits<Visitor>::Cost <= EIGEN_UNROLLING_LIMIT
  };
  return internal::visitor_impl<Visitor, ThisEvaluator, unroll ? int(SizeAtCompileTime) : Dynamic>::run(thisEval, visitor);
}

References Eigen::Dynamic, and EIGEN_UNROLLING_LIMIT.

◆ Zero() [1/3]

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const 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:

Output:

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

{
  return Constant(Scalar(0));
}

◆ Zero() [2/3]

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const 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:

Output:

See also: Zero(), Zero(Index)

{
  return Constant(rows, cols, Scalar(0));
}

◆ Zero() [3/3]

template<typename Derived >

EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const 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:

Output:

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

{
  return Constant(size, Scalar(0));
}

Friends And Related Symbol 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()

{
  return internal::print_matrix(s, m.eval(), EIGEN_DEFAULT_IO_FORMAT);
}

References EIGEN_DEFAULT_IO_FORMAT, and Eigen::internal::print_matrix().

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

src/eigen/Eigen/src/Core/DenseBase.h
src/eigen/Eigen/src/Core/Assign.h
src/eigen/Eigen/src/Core/BooleanRedux.h
src/eigen/Eigen/src/Core/CommaInitializer.h
src/eigen/Eigen/src/Core/CwiseNullaryOp.h
src/eigen/Eigen/src/Core/EigenBase.h
src/eigen/Eigen/src/Core/Fuzzy.h
src/eigen/Eigen/src/Core/IO.h
src/eigen/Eigen/src/Core/NestByValue.h
src/eigen/Eigen/src/Core/Random.h
src/eigen/Eigen/src/Core/Redux.h
src/eigen/Eigen/src/Core/Replicate.h
src/eigen/Eigen/src/Core/ReturnByValue.h
src/eigen/Eigen/src/Core/Reverse.h
src/eigen/Eigen/src/Core/Select.h
src/eigen/Eigen/src/Core/SelfCwiseBinaryOp.h
src/eigen/Eigen/src/Core/Transpose.h
src/eigen/Eigen/src/Core/VectorwiseOp.h
src/eigen/Eigen/src/Core/Visitor.h

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Private Member Functions

Related Symbols

Detailed Description

Member Typedef Documentation

◆ Base

◆ CoeffReturnType

◆ ColwiseReturnType

◆ ConstantReturnType

◆ ConstColwiseReturnType

◆ ConstReverseReturnType

◆ ConstRowwiseReturnType

◆ ConstTransposeReturnType

◆ EigenvaluesReturnType

◆ EvalReturnType

◆ InnerIterator

◆ PacketScalar

◆ PlainArray

◆ PlainMatrix

◆ PlainObject

◆ RandomAccessLinSpacedReturnType

◆ RandomReturnType

◆ RealScalar

◆ ReverseReturnType

◆ RowwiseReturnType

◆ Scalar

◆ SequentialLinSpacedReturnType

◆ 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()

◆ colwise() [1/2]

◆ colwise() [2/2]

◆ Constant() [1/3]

◆ Constant() [2/3]

◆ Constant() [3/3]

◆ count()

◆ eval()

◆ evalTo()

◆ fill()

◆ flagged()

◆ forceAlignedAccess() [1/2]

◆ forceAlignedAccess() [2/2]

◆ forceAlignedAccessIf() [1/2]

◆ forceAlignedAccessIf() [2/2]

◆ format()

◆ hasNaN()

◆ innerSize()

◆ isApprox() [1/2]

◆ isApprox() [2/2]

◆ isApproxToConstant()

◆ isConstant()

◆ isMuchSmallerThan() [1/4]

◆ isMuchSmallerThan() [2/4]

◆ isMuchSmallerThan() [3/4]

◆ isMuchSmallerThan() [4/4]

◆ isOnes()

◆ isZero()

◆ lazyAssign() [1/2]

◆ lazyAssign() [2/2]

◆ LinSpaced() [1/4]

◆ LinSpaced() [2/4]

◆ LinSpaced() [3/4]

◆ LinSpaced() [4/4]

◆ lpNorm()