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Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > Class Template Reference

The matrix class, also used for vectors and row-vectors. More...

#include <Matrix.h>

Inheritance diagram for Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >:
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List of all members.

Public Types

enum  { Options = _Options }
typedef PlainObjectBase< MatrixBase
 Base class typedef.
typedef Base::PlainObject PlainObject

Public Member Functions

Index innerStride () const
EIGEN_STRONG_INLINE Matrix ()
 Default constructor.
 Matrix (internal::constructor_without_unaligned_array_assert)
EIGEN_STRONG_INLINE Matrix (Index dim)
 Constructs a vector or row-vector with given dimension. .
template<typename T0 , typename T1 >
EIGEN_STRONG_INLINE Matrix (const T0 &x, const T1 &y)
EIGEN_STRONG_INLINE Matrix (const Scalar &x, const Scalar &y, const Scalar &z)
 Constructs an initialized 3D vector with given coefficients.
EIGEN_STRONG_INLINE Matrix (const Scalar &x, const Scalar &y, const Scalar &z, const Scalar &w)
 Constructs an initialized 4D vector with given coefficients.
 Matrix (const Scalar *data)
template<typename OtherDerived >
EIGEN_STRONG_INLINE Matrix (const MatrixBase< OtherDerived > &other)
 Constructor copying the value of the expression other.
EIGEN_STRONG_INLINE Matrix (const Matrix &other)
 Copy constructor.
template<typename OtherDerived >
EIGEN_STRONG_INLINE Matrix (const ReturnByValue< OtherDerived > &other)
 Copy constructor with in-place evaluation.
template<typename OtherDerived >
EIGEN_STRONG_INLINE Matrix (const EigenBase< OtherDerived > &other)
 Copy constructor for generic expressions.
template<typename OtherDerived >
 Matrix (const RotationBase< OtherDerived, ColsAtCompileTime > &r)
 Constructs a Dim x Dim rotation matrix from the rotation r.
EIGEN_STRONG_INLINE Matrixoperator= (const Matrix &other)
 Assigns matrices to each other.
template<typename OtherDerived >
EIGEN_STRONG_INLINE Matrixoperator= (const MatrixBase< OtherDerived > &other)
template<typename OtherDerived >
EIGEN_STRONG_INLINE Matrixoperator= (const EigenBase< OtherDerived > &other)
 Copies the generic expression other into *this.
template<typename OtherDerived >
EIGEN_STRONG_INLINE Matrixoperator= (const ReturnByValue< OtherDerived > &func)
template<typename OtherDerived >
Matrixoperator= (const RotationBase< OtherDerived, ColsAtCompileTime > &r)
 Set a Dim x Dim rotation matrix from the rotation r.
Index outerStride () const
template<typename OtherDerived >
void swap (MatrixBase< OtherDerived > const &other)

Friends

struct internal::conservative_resize_like_impl

Detailed Description

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
class Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >

The matrix class, also used for vectors and row-vectors.

The Matrix class is the work-horse for all dense (note) matrices and vectors within Eigen. Vectors are matrices with one column, and row-vectors are matrices with one row.

The Matrix class encompasses both fixed-size and dynamic-size objects (note).

The first three template parameters are required:

Template Parameters:
_ScalarNumeric type, e.g. float, double, int or std::complex<float>. User defined sclar types are supported as well (see here).
_RowsNumber of rows, or Dynamic
_ColsNumber of columns, or Dynamic

The remaining template parameters are optional -- in most cases you don't have to worry about them.

Template Parameters:
_OptionsA combination of either RowMajor or ColMajor, and of either AutoAlign or DontAlign. The former controls storage order, and defaults to column-major. The latter controls alignment, which is required for vectorization. It defaults to aligning matrices except for fixed sizes that aren't a multiple of the packet size.
_MaxRowsMaximum number of rows. Defaults to _Rows (note).
_MaxColsMaximum number of columns. Defaults to _Cols (note).

Eigen provides a number of typedefs covering the usual cases. Here are some examples:

See this page for a complete list of predefined Matrix and Vector typedefs.

You can access elements of vectors and matrices using normal subscripting:

 Eigen::VectorXd v(10);
 v[0] = 0.1;
 v[1] = 0.2;
 v(0) = 0.3;
 v(1) = 0.4;

 Eigen::MatrixXi m(10, 10);
 m(0, 1) = 1;
 m(0, 2) = 2;
 m(0, 3) = 3;

This class can be extended with the help of the plugin mechanism described on the page TopicCustomizingEigen by defining the preprocessor symbol EIGEN_MATRIX_PLUGIN.

Some notes:

Dense versus sparse:

This Matrix class handles dense, not sparse matrices and vectors. For sparse matrices and vectors, see the Sparse module.

Dense matrices and vectors are plain usual arrays of coefficients. All the coefficients are stored, in an ordinary contiguous array. This is unlike Sparse matrices and vectors where the coefficients are stored as a list of nonzero coefficients.

Fixed-size versus dynamic-size:

Fixed-size means that the numbers of rows and columns are known are compile-time. In this case, Eigen allocates the array of coefficients as a fixed-size array, as a class member. This makes sense for very small matrices, typically up to 4x4, sometimes up to 16x16. Larger matrices should be declared as dynamic-size even if one happens to know their size at compile-time.

Dynamic-size means that the numbers of rows or columns are not necessarily known at compile-time. In this case they are runtime variables, and the array of coefficients is allocated dynamically on the heap.

Note that dense matrices, be they Fixed-size or Dynamic-size, do not expand dynamically in the sense of a std::map. If you want this behavior, see the Sparse module.

_MaxRows and _MaxCols:
In most cases, one just leaves these parameters to the default values. These parameters mean the maximum size of rows and columns that the matrix may have. They are useful in cases when the exact numbers of rows and columns are not known are compile-time, but it is known at compile-time that they cannot exceed a certain value. This happens when taking dynamic-size blocks inside fixed-size matrices: in this case _MaxRows and _MaxCols are the dimensions of the original matrix, while _Rows and _Cols are Dynamic.
See also:
MatrixBase for the majority of the API methods for matrices, TopicClassHierarchy, TopicStorageOrders

Definition at line 127 of file Matrix.h.


Member Typedef Documentation

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
typedef PlainObjectBase<Matrix> Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::Base
template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
typedef Base::PlainObject Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::PlainObject

Definition at line 141 of file Matrix.h.


Member Enumeration Documentation

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
anonymous enum
Enumerator:
Options 

Definition at line 137 of file Matrix.h.


Constructor & Destructor Documentation

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
EIGEN_STRONG_INLINE Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::Matrix ( ) [inline]

Default constructor.

For fixed-size matrices, does nothing.

For dynamic-size matrices, creates an empty matrix of size 0. Does not allocate any array. Such a matrix is called a null matrix. This constructor is the unique way to create null matrices: resizing a matrix to 0 is not supported.

See also:
resize(Index,Index)

Definition at line 203 of file Matrix.h.

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::Matrix ( internal::constructor_without_unaligned_array_assert  ) [inline]

Definition at line 210 of file Matrix.h.

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
EIGEN_STRONG_INLINE Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::Matrix ( Index  dim) [inline, explicit]

Constructs a vector or row-vector with given dimension. .

Note that this is only useful for dynamic-size vectors. For fixed-size vectors, it is redundant to pass the dimension here, so it makes more sense to use the default constructor Matrix() instead.

Definition at line 220 of file Matrix.h.

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
template<typename T0 , typename T1 >
EIGEN_STRONG_INLINE Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::Matrix ( const T0 &  x,
const T1 &  y 
) [inline]

Definition at line 232 of file Matrix.h.

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
EIGEN_STRONG_INLINE Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::Matrix ( const Scalar x,
const Scalar y,
const Scalar z 
) [inline]

Constructs an initialized 3D vector with given coefficients.

Definition at line 249 of file Matrix.h.

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
EIGEN_STRONG_INLINE Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::Matrix ( const Scalar x,
const Scalar y,
const Scalar z,
const Scalar w 
) [inline]

Constructs an initialized 4D vector with given coefficients.

Definition at line 258 of file Matrix.h.

template<typename _Scalar , int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
Matrix::Matrix ( const Scalar data) [inline, explicit]

Definition at line 185 of file Map.h.

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
template<typename OtherDerived >
EIGEN_STRONG_INLINE Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::Matrix ( const MatrixBase< OtherDerived > &  other) [inline]

Constructor copying the value of the expression other.

Definition at line 272 of file Matrix.h.

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
EIGEN_STRONG_INLINE Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::Matrix ( const Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > &  other) [inline]

Copy constructor.

Definition at line 284 of file Matrix.h.

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
template<typename OtherDerived >
EIGEN_STRONG_INLINE Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::Matrix ( const ReturnByValue< OtherDerived > &  other) [inline]

Copy constructor with in-place evaluation.

Definition at line 292 of file Matrix.h.

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
template<typename OtherDerived >
EIGEN_STRONG_INLINE Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::Matrix ( const EigenBase< OtherDerived > &  other) [inline]

Copy constructor for generic expressions.

See also:
MatrixBase::operator=(const EigenBase<OtherDerived>&)

Definition at line 303 of file Matrix.h.

template<typename _Scalar , int _Rows, int _Cols, int _Storage, int _MaxRows, int _MaxCols>
template<typename OtherDerived >
Matrix::Matrix ( const RotationBase< OtherDerived, ColsAtCompileTime > &  r) [explicit]

Constructs a Dim x Dim rotation matrix from the rotation r.

Constructs a Dim x Dim rotation matrix from the rotation r

Definition at line 64 of file Eigen2Support/Geometry/RotationBase.h.


Member Function Documentation

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
Index Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::innerStride ( ) const [inline]

Definition at line 321 of file Matrix.h.

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
EIGEN_STRONG_INLINE Matrix& Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::operator= ( const Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > &  other) [inline]

Assigns matrices to each other.

Note:
This is a special case of the templated operator=. Its purpose is to prevent a default operator= from hiding the templated operator=.

Definition at line 154 of file Matrix.h.

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
template<typename OtherDerived >
EIGEN_STRONG_INLINE Matrix& Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::operator= ( const MatrixBase< OtherDerived > &  other) [inline]

Definition at line 170 of file Matrix.h.

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
template<typename OtherDerived >
EIGEN_STRONG_INLINE Matrix& Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::operator= ( const EigenBase< OtherDerived > &  other) [inline]

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.

Reimplemented from Eigen::PlainObjectBase< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > >.

Definition at line 182 of file Matrix.h.

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
template<typename OtherDerived >
EIGEN_STRONG_INLINE Matrix& Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::operator= ( const ReturnByValue< OtherDerived > &  func) [inline]
template<typename _Scalar , int _Rows, int _Cols, int _Storage, int _MaxRows, int _MaxCols>
template<typename OtherDerived >
Matrix< _Scalar, _Rows, _Cols, _Storage, _MaxRows, _MaxCols > & Matrix::operator= ( const RotationBase< OtherDerived, ColsAtCompileTime > &  r)

Set a Dim x Dim rotation matrix from the rotation r.

Set a Dim x Dim rotation matrix from the rotation r

Definition at line 78 of file Eigen2Support/Geometry/RotationBase.h.

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
Index Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::outerStride ( ) const [inline]

Definition at line 322 of file Matrix.h.

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
template<typename OtherDerived >
void Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::swap ( MatrixBase< OtherDerived > const &  other) [inline]

Definition at line 318 of file Matrix.h.


Friends And Related Function Documentation

template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
friend struct internal::conservative_resize_like_impl [friend]

Definition at line 345 of file Matrix.h.


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


acado
Author(s): Milan Vukov, Rien Quirynen
autogenerated on Sat Jun 8 2019 19:40:48