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Eigen::ArrayBase< Derived > Class Template Reference

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

#include <ArrayBase.h>

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Public Types

typedef DenseBase< Derived > Base
typedef Base::CoeffReturnType CoeffReturnType
typedef internal::conditional
< NumTraits< Scalar >
::IsComplex, const
CwiseUnaryOp
< internal::scalar_conjugate_op
< Scalar >, const Derived >
, const Derived & >::type 		ConjugateReturnType
typedef CwiseNullaryOp
< internal::scalar_constant_op
< Scalar >, Derived > 		ConstantReturnType
typedef ArrayBase Eigen_BaseClassForSpecializationOfGlobalMathFuncImpl
typedef CwiseUnaryOp
< internal::scalar_imag_op
< Scalar >, const Derived > 		ImagReturnType
typedef internal::traits
< Derived >::Index 		Index
 The type of indices.
typedef CwiseUnaryView
< internal::scalar_imag_ref_op
< Scalar >, Derived > 		NonConstImagReturnType
typedef internal::conditional
< NumTraits< Scalar >
::IsComplex, CwiseUnaryView
< internal::scalar_real_ref_op
< Scalar >, Derived >, Derived & >
::type 		NonConstRealReturnType
typedef
internal::packet_traits
< Scalar >::type 		PacketScalar
typedef Array< typename
internal::traits< Derived >
::Scalar, internal::traits
< Derived >::RowsAtCompileTime,
internal::traits< Derived >
::ColsAtCompileTime, AutoAlign|(internal::traits
< Derived >::Flags
&RowMajorBit?RowMajor:ColMajor),
internal::traits< Derived >
::MaxRowsAtCompileTime,
internal::traits< Derived >
::MaxColsAtCompileTime > 		PlainObject
typedef internal::conditional
< NumTraits< Scalar >
::IsComplex, const
CwiseUnaryOp
< internal::scalar_real_op
< Scalar >, const Derived >
, const Derived & >::type 		RealReturnType
typedef NumTraits< Scalar >::Real RealScalar
typedef internal::traits
< Derived >::Scalar 		Scalar
typedef CwiseUnaryOp
< internal::scalar_multiple_op
< Scalar >, const Derived > 		ScalarMultipleReturnType
typedef CwiseUnaryOp
< internal::scalar_quotient1_op
< Scalar >, const Derived > 		ScalarQuotient1ReturnType
typedef ArrayBase StorageBaseType
typedef internal::traits
< Derived >::StorageKind 		StorageKind

Public Member Functions

EIGEN_STRONG_INLINE const
CwiseUnaryOp
< internal::scalar_abs_op
< Scalar >, const Derived > 		abs () const
EIGEN_STRONG_INLINE const
CwiseUnaryOp
< internal::scalar_abs2_op
< Scalar >, const Derived > 		abs2 () const
const CwiseUnaryOp
< internal::scalar_acos_op
< Scalar >, const Derived > 		acos () const
ArrayBase< Derived > & array ()
const ArrayBase< Derived > & array () const
const CwiseUnaryOp
< internal::scalar_asin_op
< Scalar >, const Derived > 		asin () const
template<typename CustomBinaryOp , typename OtherDerived >
EIGEN_STRONG_INLINE const
CwiseBinaryOp< CustomBinaryOp,
const Derived, const
OtherDerived > 		binaryExpr (const EIGEN_CURRENT_STORAGE_BASE_CLASS< OtherDerived > &other, const CustomBinaryOp &func=CustomBinaryOp()) const
template<typename NewType >
internal::cast_return_type
< Derived, const CwiseUnaryOp
< internal::scalar_cast_op
< typename internal::traits
< Derived >::Scalar, NewType >
, const Derived > >::type 		cast () const
ConjugateReturnType conjugate () const
const CwiseUnaryOp
< internal::scalar_cos_op
< Scalar >, const Derived > 		cos () const
const CwiseUnaryOp
< internal::scalar_cube_op
< Scalar >, const Derived > 		cube () const
EIGEN_STRONG_INLINE const
CwiseUnaryOp
< internal::scalar_abs_op
< Scalar >, const Derived > 		cwiseAbs () const
EIGEN_STRONG_INLINE const
CwiseUnaryOp
< internal::scalar_abs2_op
< Scalar >, const Derived > 		cwiseAbs2 () const
EIGEN_STRONG_INLINE const CwiseBinaryOp (min)(const Scalar &other) const
EIGEN_STRONG_INLINE const CwiseBinaryOp (max)(const Scalar &other) const
template<typename OtherDerived >
const CwiseBinaryOp
< std::equal_to< Scalar >
, const Derived, const
OtherDerived > 		cwiseEqual (const EIGEN_CURRENT_STORAGE_BASE_CLASS< OtherDerived > &other) const
const CwiseUnaryOp
< std::binder1st
< std::equal_to< Scalar >
>, const Derived > 		cwiseEqual (const Scalar &s) const
const CwiseUnaryOp
< internal::scalar_inverse_op
< Scalar >, const Derived > 		cwiseInverse () const
template<typename OtherDerived >
EIGEN_STRONG_INLINE const
CwiseBinaryOp
< internal::scalar_max_op
< Scalar >, const Derived,
const OtherDerived > 		cwiseMax (const EIGEN_CURRENT_STORAGE_BASE_CLASS< OtherDerived > &other) const
EIGEN_STRONG_INLINE const
CwiseBinaryOp
< internal::scalar_max_op
< Scalar >, const Derived,
const ConstantReturnType > 		cwiseMax (const Scalar &other) const
template<typename OtherDerived >
EIGEN_STRONG_INLINE const
CwiseBinaryOp
< internal::scalar_min_op
< Scalar >, const Derived,
const OtherDerived > 		cwiseMin (const EIGEN_CURRENT_STORAGE_BASE_CLASS< OtherDerived > &other) const
EIGEN_STRONG_INLINE const
CwiseBinaryOp
< internal::scalar_min_op
< 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_CURRENT_STORAGE_BASE_CLASS< OtherDerived > &other) const
template<typename OtherDerived >
EIGEN_STRONG_INLINE const
CwiseBinaryOp
< internal::scalar_quotient_op
< Scalar >, const Derived,
const OtherDerived > 		cwiseQuotient (const EIGEN_CURRENT_STORAGE_BASE_CLASS< OtherDerived > &other) const
const CwiseUnaryOp
< internal::scalar_sqrt_op
< Scalar >, const Derived > 		cwiseSqrt () const
template<typename OtherDerived >
EIGEN_STRONG_INLINE const EIGEN_CWISE_PRODUCT_RETURN_TYPE (Derived, OtherDerived) operator*(const EIGEN_CURRENT_STORAGE_BASE_CLASS< OtherDerived > &other) const
template<typename OtherDerived >
EIGEN_STRONG_INLINE const EIGEN_CWISE_PRODUCT_RETURN_TYPE (Derived, OtherDerived) cwiseProduct(const EIGEN_CURRENT_STORAGE_BASE_CLASS< OtherDerived > &other) const
const CwiseUnaryOp
< internal::scalar_exp_op
< Scalar >, const Derived > 		exp () const
const ImagReturnType imag () const
NonConstImagReturnType imag ()
const CwiseUnaryOp
< internal::scalar_inverse_op
< Scalar >, const Derived > 		inverse () const
const CwiseUnaryOp
< internal::scalar_log_op
< Scalar >, const Derived > 		log () const
MatrixWrapper< Derived > matrix ()
const MatrixWrapper< const
Derived > 		matrix () const
template<typename OtherDerived >
const CwiseBinaryOp
< internal::scalar_boolean_and_op,
const Derived, const
OtherDerived > 		operator&& (const EIGEN_CURRENT_STORAGE_BASE_CLASS< OtherDerived > &other) const
const ScalarMultipleReturnType operator* (const Scalar &scalar) const
const CwiseUnaryOp
< internal::scalar_multiple2_op
< Scalar, std::complex< Scalar >
>, const Derived > 		operator* (const std::complex< Scalar > &scalar) const
template<typename OtherDerived >
Derived & operator*= (const ArrayBase< OtherDerived > &other)
const CwiseUnaryOp
< internal::scalar_add_op
< Scalar >, const Derived > 		operator+ (const Scalar &scalar) const
Derived & operator+= (const Scalar &scalar)
template<typename OtherDerived >
Derived & operator+= (const ArrayBase< OtherDerived > &other)
const CwiseUnaryOp
< internal::scalar_opposite_op
< typename internal::traits
< Derived >::Scalar >, const
Derived > 		operator- () const
const CwiseUnaryOp
< internal::scalar_add_op
< Scalar >, const Derived > 		operator- (const Scalar &scalar) const
Derived & operator-= (const Scalar &scalar)
template<typename OtherDerived >
Derived & operator-= (const ArrayBase< OtherDerived > &other)
template<typename OtherDerived >
EIGEN_STRONG_INLINE const
CwiseBinaryOp
< internal::scalar_quotient_op
< Scalar >, const Derived,
const OtherDerived > 		operator/ (const EIGEN_CURRENT_STORAGE_BASE_CLASS< OtherDerived > &other) const
const CwiseUnaryOp
< internal::scalar_quotient1_op
< typename internal::traits
< Derived >::Scalar >, const
Derived > 		operator/ (const Scalar &scalar) const
template<typename OtherDerived >
Derived & operator/= (const ArrayBase< OtherDerived > &other)
Derived & operator= (const ArrayBase &other)
template<typename OtherDerived >
const CwiseBinaryOp
< internal::scalar_boolean_or_op,
const Derived, const
OtherDerived > 		operator|| (const EIGEN_CURRENT_STORAGE_BASE_CLASS< OtherDerived > &other) const
const CwiseUnaryOp
< internal::scalar_pow_op
< Scalar >, const Derived > 		pow (const Scalar &exponent) const
RealReturnType real () const
NonConstRealReturnType real ()
const CwiseUnaryOp
< internal::scalar_sin_op
< Scalar >, const Derived > 		sin () const
const CwiseUnaryOp
< internal::scalar_sqrt_op
< Scalar >, const Derived > 		sqrt () const
const CwiseUnaryOp
< internal::scalar_square_op
< Scalar >, const Derived > 		square () const
const CwiseUnaryOp
< internal::scalar_tan_op
< Scalar >, Derived > 		tan () 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

Protected Member Functions

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

Private Member Functions

 ArrayBase (Index)
 ArrayBase (Index, Index)
template<typename OtherDerived >
 ArrayBase (const ArrayBase< OtherDerived > &)

Friends

const ScalarMultipleReturnType operator* (const Scalar &scalar, const StorageBaseType &matrix)
const CwiseUnaryOp
< internal::scalar_multiple2_op
< Scalar, std::complex< Scalar >
>, const Derived > 		operator* (const std::complex< Scalar > &scalar, const StorageBaseType &matrix)
const CwiseUnaryOp
< internal::scalar_add_op
< Scalar >, const Derived > 		operator+ (const Scalar &scalar, const EIGEN_CURRENT_STORAGE_BASE_CLASS< Derived > &other)
const CwiseUnaryOp
< internal::scalar_add_op
< Scalar >, const CwiseUnaryOp
< internal::scalar_opposite_op
< Scalar >, const Derived > > 		operator- (const Scalar &scalar, const EIGEN_CURRENT_STORAGE_BASE_CLASS< Derived > &other)

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:
Derivedis 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 TopicCustomizingEigen by defining the preprocessor symbol EIGEN_ARRAYBASE_PLUGIN.

See also:
class MatrixBase, TopicClassHierarchy

Definition at line 39 of file ArrayBase.h.

Member Typedef Documentation

template<typename Derived>
typedef DenseBase<Derived> Eigen::ArrayBase< Derived >::Base

Reimplemented from Eigen::DenseBase< Derived >.

Reimplemented in Eigen::ArrayWrapper< ExpressionType >.

Definition at line 58 of file ArrayBase.h.

template<typename Derived>
typedef Base::CoeffReturnType Eigen::ArrayBase< Derived >::CoeffReturnType

Reimplemented from Eigen::DenseBase< Derived >.

Definition at line 83 of file ArrayBase.h.

template<typename Derived>
typedef internal::conditional<NumTraits<Scalar>::IsComplex, const CwiseUnaryOp<internal::scalar_conjugate_op<Scalar>, const Derived>, const Derived& >::type Eigen::ArrayBase< Derived >::ConjugateReturnType

Definition at line 24 of file ArrayBase.h.

template<typename Derived>
typedef CwiseNullaryOp<internal::scalar_constant_op<Scalar>,Derived> Eigen::ArrayBase< Derived >::ConstantReturnType

Reimplemented from Eigen::DenseBase< Derived >.

Definition at line 103 of file ArrayBase.h.

template<typename Derived>
typedef ArrayBase Eigen::ArrayBase< Derived >::Eigen_BaseClassForSpecializationOfGlobalMathFuncImpl

Definition at line 47 of file ArrayBase.h.

template<typename Derived>
typedef CwiseUnaryOp<internal::scalar_imag_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::ImagReturnType

Definition at line 36 of file ArrayBase.h.

template<typename Derived>
typedef internal::traits<Derived>::Index Eigen::ArrayBase< Derived >::Index

The type of indices.

To change this, #define the preprocessor symbol EIGEN_DEFAULT_DENSE_INDEX_TYPE.

See also:
TopicPreprocessorDirectives.

Reimplemented from Eigen::DenseBase< Derived >.

Definition at line 53 of file ArrayBase.h.

template<typename Derived>
typedef CwiseUnaryView<internal::scalar_imag_ref_op<Scalar>, Derived> Eigen::ArrayBase< Derived >::NonConstImagReturnType

Definition at line 38 of file ArrayBase.h.

template<typename Derived>
typedef internal::conditional<NumTraits<Scalar>::IsComplex, CwiseUnaryView<internal::scalar_real_ref_op<Scalar>, Derived>, Derived& >::type Eigen::ArrayBase< Derived >::NonConstRealReturnType

Definition at line 34 of file ArrayBase.h.

template<typename Derived>
typedef internal::packet_traits<Scalar>::type Eigen::ArrayBase< Derived >::PacketScalar

Reimplemented from Eigen::DenseBase< Derived >.

Definition at line 55 of file ArrayBase.h.

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::ArrayBase< Derived >::PlainObject

Definition at line 99 of file ArrayBase.h.

template<typename Derived>
typedef internal::conditional<NumTraits<Scalar>::IsComplex, const CwiseUnaryOp<internal::scalar_real_op<Scalar>, const Derived>, const Derived& >::type Eigen::ArrayBase< Derived >::RealReturnType

Definition at line 29 of file ArrayBase.h.

template<typename Derived>
typedef NumTraits<Scalar>::Real Eigen::ArrayBase< Derived >::RealScalar

Reimplemented from Eigen::DenseBase< Derived >.

Definition at line 56 of file ArrayBase.h.

template<typename Derived>
typedef internal::traits<Derived>::Scalar Eigen::ArrayBase< Derived >::Scalar

Reimplemented from Eigen::DenseBase< Derived >.

Definition at line 54 of file ArrayBase.h.

template<typename Derived>
typedef CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::ScalarMultipleReturnType

Definition at line 17 of file ArrayBase.h.

template<typename Derived>
typedef CwiseUnaryOp<internal::scalar_quotient1_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::ScalarQuotient1ReturnType

Definition at line 19 of file ArrayBase.h.

template<typename Derived>
typedef ArrayBase Eigen::ArrayBase< Derived >::StorageBaseType

The base class for a given storage type.

Definition at line 45 of file ArrayBase.h.

template<typename Derived>
typedef internal::traits<Derived>::StorageKind Eigen::ArrayBase< Derived >::StorageKind

Reimplemented from Eigen::DenseBase< Derived >.

Definition at line 52 of file ArrayBase.h.

Constructor & Destructor Documentation

template<typename Derived>
Eigen::ArrayBase< Derived >::ArrayBase ( ) [inline, protected]

Definition at line 155 of file ArrayBase.h.

template<typename Derived>
Eigen::ArrayBase< Derived >::ArrayBase ( Index  ) [explicit, private]
template<typename Derived>
Eigen::ArrayBase< Derived >::ArrayBase ( Index  ,
Index   
) [private]
template<typename Derived>
template<typename OtherDerived >
Eigen::ArrayBase< Derived >::ArrayBase ( const ArrayBase< OtherDerived > &  ) [explicit, private]

Member Function Documentation

template<typename Derived>
EIGEN_STRONG_INLINE const CwiseUnaryOp<internal::scalar_abs_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::abs ( ) const [inline]
Returns:
an expression of the coefficient-wise absolute value of *this

Example: 

 Output: 


See also:
abs2() 



Definition at line 12 of file ArrayBase.h.













template<typename Derived> 

      

        

          EIGEN_STRONG_INLINE const CwiseUnaryOp<internal::scalar_abs2_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::abs2 
          (
          )
           const [inline]
        

      






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


Example: 


 Output: 


See also:
abs(), square() 



Definition at line 25 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_acos_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::acos 
          (
          )
           const [inline]
        

      






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


Example: 


 Output: 


See also:
cos(), asin() 



Definition at line 104 of file ArrayBase.h.













template<typename Derived> 

      

        

          ArrayBase<Derived>& Eigen::ArrayBase< Derived >::array 
          (
          )
           [inline]
        

      







Definition at line 143 of file ArrayBase.h.













template<typename Derived> 

      

        

          const ArrayBase<Derived>& Eigen::ArrayBase< Derived >::array 
          (
          )
           const [inline]
        

      







Definition at line 144 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_asin_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::asin 
          (
          )
           const [inline]
        

      






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


Example: 


 Output: 


See also:
sin(), acos() 



Definition at line 117 of file ArrayBase.h.













template<typename Derived> 



template<typename CustomBinaryOp , typename OtherDerived > 

      

        

          EIGEN_STRONG_INLINE const CwiseBinaryOp<CustomBinaryOp, const Derived, const OtherDerived> Eigen::ArrayBase< Derived >::binaryExpr 
          (
          const EIGEN_CURRENT_STORAGE_BASE_CLASS< OtherDerived > & 
          other, 
        

        

          
          
          const CustomBinaryOp & 
          func = CustomBinaryOp() 
        

        

          
          )
           const [inline]
        

      






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-=() 


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+=() 


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: 


 Output: 


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



Definition at line 43 of file ArrayBase.h.













template<typename Derived> 



template<typename NewType > 

      

        

          internal::cast_return_type<Derived,const CwiseUnaryOp<internal::scalar_cast_op<typename internal::traits<Derived>::Scalar, NewType>, const Derived> >::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 



Definition at line 93 of file ArrayBase.h.













template<typename Derived> 

      

        

          ConjugateReturnType Eigen::ArrayBase< Derived >::conjugate 
          (
          )
           const [inline]
        

      






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


See also:
adjoint() 



Definition at line 102 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_cos_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::cos 
          (
          )
           const [inline]
        

      






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


Example: 


 Output: 


See also:
sin(), acos() 



Definition at line 77 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_cube_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::cube 
          (
          )
           const [inline]
        

      






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


Example: 


 Output: 


See also:
square(), pow() 



Definition at line 185 of file ArrayBase.h.













template<typename Derived> 

      

        

          EIGEN_STRONG_INLINE const CwiseUnaryOp<internal::scalar_abs_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::cwiseAbs 
          (
          )
           const [inline]
        

      






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


Example: 


 Output: 


See also:
cwiseAbs2() 



Definition at line 22 of file ArrayBase.h.













template<typename Derived> 

      

        

          EIGEN_STRONG_INLINE const CwiseUnaryOp<internal::scalar_abs2_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::cwiseAbs2 
          (
          )
           const [inline]
        

      






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


Example: 


 Output: 


See also:
cwiseAbs() 



Definition at line 32 of file ArrayBase.h.













template<typename Derived> 

      

        

          EIGEN_STRONG_INLINE const Eigen::ArrayBase< Derived >::CwiseBinaryOp 
          (
          min 
          )
           const [inline]
        

      






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


Example: 


 Output: 


See also:
max() 


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


See also:
max() 



Definition at line 42 of file ArrayBase.h.













template<typename Derived> 

      

        

          EIGEN_STRONG_INLINE const Eigen::ArrayBase< Derived >::CwiseBinaryOp 
          (
          max 
          )
           const [inline]
        

      






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


Example: 


 Output: 


See also:
min() 


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


See also:
min() 



Definition at line 67 of file ArrayBase.h.













template<typename Derived> 



template<typename OtherDerived > 

      

        

          const CwiseBinaryOp<std::equal_to<Scalar>, const Derived, const OtherDerived> Eigen::ArrayBase< Derived >::cwiseEqual 
          (
          const EIGEN_CURRENT_STORAGE_BASE_CLASS< 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: 


 Output: 


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



Definition at line 42 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<std::binder1st<std::equal_to<Scalar> >, const Derived> 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 



Definition at line 64 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_inverse_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::cwiseInverse 
          (
          )
           const [inline]
        

      






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


Example: 


 Output: 


See also:
cwiseProduct() 



Definition at line 52 of file ArrayBase.h.













template<typename Derived> 



template<typename OtherDerived > 

      

        

          EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_max_op<Scalar>, const Derived, const OtherDerived> Eigen::ArrayBase< Derived >::cwiseMax 
          (
          const EIGEN_CURRENT_STORAGE_BASE_CLASS< OtherDerived > & 
          other)
           const [inline]
        

      






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


Example: 


 Output: 


See also:
class CwiseBinaryOp, min() 



Definition at line 99 of file ArrayBase.h.













template<typename Derived> 

      

        

          EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_max_op<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() 



Definition at line 109 of file ArrayBase.h.













template<typename Derived> 



template<typename OtherDerived > 

      

        

          EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_min_op<Scalar>, const Derived, const OtherDerived> Eigen::ArrayBase< Derived >::cwiseMin 
          (
          const EIGEN_CURRENT_STORAGE_BASE_CLASS< OtherDerived > & 
          other)
           const [inline]
        

      






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


Example: 


 Output: 


See also:
class CwiseBinaryOp, max() 



Definition at line 75 of file ArrayBase.h.













template<typename Derived> 

      

        

          EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_min_op<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() 



Definition at line 85 of file ArrayBase.h.













template<typename Derived> 



template<typename OtherDerived > 

      

        

          const CwiseBinaryOp<std::not_equal_to<Scalar>, const Derived, const OtherDerived> Eigen::ArrayBase< Derived >::cwiseNotEqual 
          (
          const EIGEN_CURRENT_STORAGE_BASE_CLASS< 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: 


 Output: 


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



Definition at line 61 of file ArrayBase.h.













template<typename Derived> 



template<typename OtherDerived > 

      

        

          EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_quotient_op<Scalar>, const Derived, const OtherDerived> Eigen::ArrayBase< Derived >::cwiseQuotient 
          (
          const EIGEN_CURRENT_STORAGE_BASE_CLASS< OtherDerived > & 
          other)
           const [inline]
        

      






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


Example: 


 Output: 


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



Definition at line 124 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_sqrt_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::cwiseSqrt 
          (
          )
           const [inline]
        

      






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


Example: 


 Output: 


See also:
cwisePow(), cwiseSquare() 



Definition at line 42 of file ArrayBase.h.













template<typename Derived> 



template<typename OtherDerived > 

      

        

          EIGEN_STRONG_INLINE const Eigen::ArrayBase< Derived >::EIGEN_CWISE_PRODUCT_RETURN_TYPE 
          (
          Derived 
          , 
        

        

          
          
          OtherDerived 
           
        

        

          
          )
           const [inline]
        

      






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


See also:
MatrixBase::cwiseProduct 



Definition at line 7 of file ArrayBase.h.













template<typename Derived> 



template<typename OtherDerived > 

      

        

          EIGEN_STRONG_INLINE const Eigen::ArrayBase< Derived >::EIGEN_CWISE_PRODUCT_RETURN_TYPE 
          (
          Derived 
          , 
        

        

          
          
          OtherDerived 
           
        

        

          
          )
           const [inline]
        

      






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


Example: 


 Output: 


See also:
class CwiseBinaryOp, cwiseAbs2 



Definition at line 22 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_exp_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::exp 
          (
          )
           const [inline]
        

      






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


Example: 


 Output: 


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



Definition at line 38 of file ArrayBase.h.













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() 



Definition at line 117 of file ArrayBase.h.













template<typename Derived> 

      

        

          NonConstImagReturnType Eigen::ArrayBase< Derived >::imag 
          (
          )
           [inline]
        

      






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


See also:
real() 



Definition at line 173 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_inverse_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::inverse 
          (
          )
           const [inline]
        

      






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


Example: 


 Output: 


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



Definition at line 159 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_log_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::log 
          (
          )
           const [inline]
        

      






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


Example: 


 Output: 


See also:
exp() 



Definition at line 51 of file ArrayBase.h.













template<typename Derived> 

      

        

          MatrixWrapper<Derived> Eigen::ArrayBase< Derived >::matrix 
          (
          )
           [inline]
        

      






Returns:
an Matrix  expression of this array 


See also:
MatrixBase::array() 



Definition at line 148 of file ArrayBase.h.













template<typename Derived> 

      

        

          const MatrixWrapper<const Derived> Eigen::ArrayBase< Derived >::matrix 
          (
          )
           const [inline]
        

      







Definition at line 149 of file ArrayBase.h.













template<typename Derived> 



template<typename OtherDerived > 

      

        

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


 Output: 


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



Definition at line 189 of file ArrayBase.h.













template<typename Derived> 

      

        

          const ScalarMultipleReturnType Eigen::ArrayBase< Derived >::operator* 
          (
          const Scalar & 
          scalar)
           const [inline]
        

      






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



Definition at line 50 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_multiple2_op<Scalar,std::complex<Scalar> >, const Derived> Eigen::ArrayBase< Derived >::operator* 
          (
          const std::complex< Scalar > & 
          scalar)
           const [inline]
        

      






Overloaded for efficient real matrix times complex scalar value 



Definition at line 70 of file ArrayBase.h.













template<typename Derived > 



template<typename OtherDerived > 

      

        

          EIGEN_STRONG_INLINE Derived & Eigen::ArrayBase< Derived >::operator*= 
          (
          const ArrayBase< OtherDerived > & 
          other)
          
        

      






replaces *this by *this * other coefficient wise.


Returns:
a reference to *this 



Definition at line 205 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_add_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::operator+ 
          (
          const Scalar & 
          scalar)
           const [inline]
        

      






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


Example: 


 Output: 


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


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


Example: 


 Output: 


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


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


Example: 


 Output: 


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


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


Example: 


 Output: 


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: 


 Output: 


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: 


 Output: 


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


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


Example: 


 Output: 


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



Definition at line 148 of file ArrayBase.h.













template<typename Derived> 

      

        

          Derived& Eigen::ArrayBase< Derived >::operator+= 
          (
          const Scalar & 
          scalar)
           [inline]
        

      







Definition at line 126 of file ArrayBase.h.













template<typename Derived > 



template<typename OtherDerived > 

      

        

          EIGEN_STRONG_INLINE Derived & Eigen::ArrayBase< Derived >::operator+= 
          (
          const ArrayBase< OtherDerived > & 
          other)
          
        

      






replaces *this by *this + other.


Returns:
a reference to *this 



Definition at line 191 of file ArrayBase.h.













template<typename Derived> 



template<typename OtherDerived > 

      

        

          Derived& Eigen::ArrayBase< Derived >::operator+= 
          (
          const MatrixBase< OtherDerived > & 
          )
           [inline, protected]
        

      







Definition at line 163 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_opposite_op<typename internal::traits<Derived>::Scalar>, const Derived> Eigen::ArrayBase< Derived >::operator- 
          (
          )
           const [inline]
        

      






Returns:
an expression of the opposite of *this 



Definition at line 45 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_add_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::operator- 
          (
          const Scalar & 
          scalar)
           const [inline]
        

      






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


Example: 


 Output: 


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



Definition at line 167 of file ArrayBase.h.













template<typename Derived> 

      

        

          Derived& Eigen::ArrayBase< Derived >::operator-= 
          (
          const Scalar & 
          scalar)
           [inline]
        

      







Definition at line 128 of file ArrayBase.h.













template<typename Derived > 



template<typename OtherDerived > 

      

        

          EIGEN_STRONG_INLINE Derived & Eigen::ArrayBase< Derived >::operator-= 
          (
          const ArrayBase< OtherDerived > & 
          other)
          
        

      






replaces *this by *this - other.


Returns:
a reference to *this 



Definition at line 177 of file ArrayBase.h.













template<typename Derived> 



template<typename OtherDerived > 

      

        

          Derived& Eigen::ArrayBase< Derived >::operator-= 
          (
          const MatrixBase< OtherDerived > & 
          )
           [inline, protected]
        

      







Definition at line 166 of file ArrayBase.h.













template<typename Derived> 



template<typename OtherDerived > 

      

        

          EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_quotient_op<Scalar>, const Derived, const OtherDerived> Eigen::ArrayBase< Derived >::operator/ 
          (
          const EIGEN_CURRENT_STORAGE_BASE_CLASS< OtherDerived > & 
          other)
           const [inline]
        

      






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


See also:
MatrixBase::cwiseQuotient 



Definition at line 19 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_quotient1_op<typename internal::traits<Derived>::Scalar>, const Derived> Eigen::ArrayBase< Derived >::operator/ 
          (
          const Scalar & 
          scalar)
           const [inline]
        

      






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



Definition at line 62 of file ArrayBase.h.













template<typename Derived > 



template<typename OtherDerived > 

      

        

          EIGEN_STRONG_INLINE Derived & Eigen::ArrayBase< Derived >::operator/= 
          (
          const ArrayBase< OtherDerived > & 
          other)
          
        

      






replaces *this by *this / other coefficient wise.


Returns:
a reference to *this 



Definition at line 219 of file ArrayBase.h.













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) 



Definition at line 121 of file ArrayBase.h.













template<typename Derived> 



template<typename OtherDerived > 

      

        

          const CwiseBinaryOp<internal::scalar_boolean_or_op, const Derived, const OtherDerived> Eigen::ArrayBase< Derived >::operator|| 
          (
          const EIGEN_CURRENT_STORAGE_BASE_CLASS< 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: 


 Output: 


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



Definition at line 207 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_pow_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::pow 
          (
          const Scalar & 
          exponent)
           const [inline]
        

      






Returns:
an expression of the coefficient-wise power of *this to the given exponent.


Example: 


 Output: 


See also:
exp(), log() 



Definition at line 144 of file ArrayBase.h.













template<typename Derived> 

      

        

          RealReturnType Eigen::ArrayBase< Derived >::real 
          (
          )
           const [inline]
        

      






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


See also:
imag() 



Definition at line 111 of file ArrayBase.h.













template<typename Derived> 

      

        

          NonConstRealReturnType Eigen::ArrayBase< Derived >::real 
          (
          )
           [inline]
        

      






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


See also:
imag() 



Definition at line 167 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_sin_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::sin 
          (
          )
           const [inline]
        

      






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


Example: 


 Output: 


See also:
cos(), asin() 



Definition at line 91 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_sqrt_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::sqrt 
          (
          )
           const [inline]
        

      






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


Example: 


 Output: 


See also:
pow(), square() 



Definition at line 64 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_square_op<Scalar>, const Derived> Eigen::ArrayBase< Derived >::square 
          (
          )
           const [inline]
        

      






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


Example: 


 Output: 


See also:
operator/(), operator*(), abs2() 



Definition at line 172 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_tan_op<Scalar>, Derived> Eigen::ArrayBase< Derived >::tan 
          (
          )
           const [inline]
        

      






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


Example: 


 Output: 


See also:
cos(), sin() 



Definition at line 130 of file ArrayBase.h.













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]funcFunctor implementing the unary operator 

  

  




Template Parameters:

  

    
CustomUnaryOpType 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: 


 Output: 


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


Example: 


 Output: 


See also:
class CwiseUnaryOp, class CwiseBinaryOp 



Definition at line 140 of file ArrayBase.h.













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: 


 Output: 


See also:
class CwiseUnaryOp, class CwiseBinaryOp 



Definition at line 158 of file ArrayBase.h.







Friends And Related Function Documentation








template<typename Derived> 

      

        

          const ScalarMultipleReturnType operator* 
          (
          const Scalar & 
          scalar, 
        

        

          
          
          const StorageBaseType & 
          matrix 
        

        

          
          )
           [friend]
        

      







Definition at line 77 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_multiple2_op<Scalar,std::complex<Scalar> >, const Derived> operator* 
          (
          const std::complex< Scalar > & 
          scalar, 
        

        

          
          
          const StorageBaseType & 
          matrix 
        

        

          
          )
           [friend]
        

      







Definition at line 81 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_add_op<Scalar>, const Derived> operator+ 
          (
          const Scalar & 
          scalar, 
        

        

          
          
          const EIGEN_CURRENT_STORAGE_BASE_CLASS< Derived > & 
          other 
        

        

          
          )
           [friend]
        

      







Definition at line 154 of file ArrayBase.h.













template<typename Derived> 

      

        

          const CwiseUnaryOp<internal::scalar_add_op<Scalar>, const CwiseUnaryOp<internal::scalar_opposite_op<Scalar>, const Derived> > operator- 
          (
          const Scalar & 
          scalar, 
        

        

          
          
          const EIGEN_CURRENT_STORAGE_BASE_CLASS< Derived > & 
          other 
        

        

          
          )
           [friend]
        

      







Definition at line 173 of file ArrayBase.h.







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







acado

Author(s): Milan Vukov, Rien Quirynen

autogenerated on Thu Aug 27 2015 12:01:43