The matrix class, also used for vectors and row-vectors. More...
#include <Matrix.h>
Public Types | |
enum | { Options = _Options } |
typedef PlainObjectBase< Matrix > | Base |
Base class typedef. More... | |
typedef Base::PlainObject | PlainObject |
Public Types inherited from Eigen::PlainObjectBase< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > > | |
enum | |
enum | |
enum | |
typedef Eigen::Map< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >, AlignedMax > | AlignedMapType |
typedef internal::dense_xpr_base< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > >::type | Base |
typedef const Eigen::Map< const Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >, AlignedMax > | ConstAlignedMapType |
typedef const Eigen::Map< const Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >, Unaligned > | ConstMapType |
typedef Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > | DenseType |
typedef Eigen::Map< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >, Unaligned > | MapType |
typedef internal::packet_traits< Scalar >::type | PacketScalar |
typedef NumTraits< Scalar >::Real | RealScalar |
typedef internal::traits< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > >::Scalar | Scalar |
typedef internal::traits< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > >::StorageKind | StorageKind |
Friends | |
template<typename Derived , typename OtherDerived , bool IsVector> | |
struct | internal::conservative_resize_like_impl |
Additional Inherited Members | |
Static Public Member Functions inherited from Eigen::PlainObjectBase< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > > | |
static EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | _check_template_params () |
static ConstMapType | Map (const Scalar *data) |
static MapType | Map (Scalar *data) |
static ConstMapType | Map (const Scalar *data, Index size) |
static MapType | Map (Scalar *data, Index size) |
static ConstMapType | Map (const Scalar *data, Index rows, Index cols) |
static MapType | Map (Scalar *data, Index rows, Index cols) |
static StridedConstMapType< Stride< Outer, Inner > >::type | Map (const Scalar *data, const Stride< Outer, Inner > &stride) |
static StridedMapType< Stride< Outer, Inner > >::type | Map (Scalar *data, const Stride< Outer, Inner > &stride) |
static StridedConstMapType< Stride< Outer, Inner > >::type | Map (const Scalar *data, Index size, const Stride< Outer, Inner > &stride) |
static StridedMapType< Stride< Outer, Inner > >::type | Map (Scalar *data, Index size, const Stride< Outer, Inner > &stride) |
static StridedConstMapType< Stride< Outer, Inner > >::type | Map (const Scalar *data, Index rows, Index cols, const Stride< Outer, Inner > &stride) |
static StridedMapType< Stride< Outer, Inner > >::type | Map (Scalar *data, Index rows, Index cols, const Stride< Outer, Inner > &stride) |
static ConstAlignedMapType | MapAligned (const Scalar *data) |
static AlignedMapType | MapAligned (Scalar *data) |
static ConstAlignedMapType | MapAligned (const Scalar *data, Index size) |
static AlignedMapType | MapAligned (Scalar *data, Index size) |
static ConstAlignedMapType | MapAligned (const Scalar *data, Index rows, Index cols) |
static AlignedMapType | MapAligned (Scalar *data, Index rows, Index cols) |
static StridedConstAlignedMapType< Stride< Outer, Inner > >::type | MapAligned (const Scalar *data, const Stride< Outer, Inner > &stride) |
static StridedAlignedMapType< Stride< Outer, Inner > >::type | MapAligned (Scalar *data, const Stride< Outer, Inner > &stride) |
static StridedConstAlignedMapType< Stride< Outer, Inner > >::type | MapAligned (const Scalar *data, Index size, const Stride< Outer, Inner > &stride) |
static StridedAlignedMapType< Stride< Outer, Inner > >::type | MapAligned (Scalar *data, Index size, const Stride< Outer, Inner > &stride) |
static StridedConstAlignedMapType< Stride< Outer, Inner > >::type | MapAligned (const Scalar *data, Index rows, Index cols, const Stride< Outer, Inner > &stride) |
static StridedAlignedMapType< Stride< Outer, Inner > >::type | MapAligned (Scalar *data, Index rows, Index cols, const Stride< Outer, Inner > &stride) |
Protected Member Functions inherited from Eigen::PlainObjectBase< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > > | |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | _init1 (Index size, typename internal::enable_if<(Base::SizeAtCompileTime!=1||!internal::is_convertible< T, Scalar >::value) &&((!internal::is_same< typename internal::traits< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > >::XprKind, ArrayXpr >::value||Base::SizeAtCompileTime==Dynamic)), T >::type *=0) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | _init1 (const Scalar &val0, typename internal::enable_if< Base::SizeAtCompileTime==1 &&internal::is_convertible< T, Scalar >::value, T >::type *=0) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | _init1 (const Index &val0, typename internal::enable_if<(!internal::is_same< Index, Scalar >::value) &&(internal::is_same< Index, T >::value) &&Base::SizeAtCompileTime==1 &&internal::is_convertible< T, Scalar >::value, T * >::type *=0) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | _init1 (const Scalar *data) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | _init1 (const DenseBase< OtherDerived > &other) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | _init1 (const Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > &other) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | _init1 (const EigenBase< OtherDerived > &other) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | _init1 (const ReturnByValue< OtherDerived > &other) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | _init1 (const RotationBase< OtherDerived, ColsAtCompileTime > &r) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | _init1 (const Scalar &val0, typename internal::enable_if< Base::SizeAtCompileTime!=Dynamic &&Base::SizeAtCompileTime!=1 &&internal::is_convertible< T, Scalar >::value &&internal::is_same< typename internal::traits< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > >::XprKind, ArrayXpr >::value, T >::type *=0) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | _init1 (const Index &val0, typename internal::enable_if<(!internal::is_same< Index, Scalar >::value) &&(internal::is_same< Index, T >::value) &&Base::SizeAtCompileTime!=Dynamic &&Base::SizeAtCompileTime!=1 &&internal::is_convertible< T, Scalar >::value &&internal::is_same< typename internal::traits< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > >::XprKind, ArrayXpr >::value, T * >::type *=0) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | _init2 (Index rows, Index cols, typename internal::enable_if< Base::SizeAtCompileTime!=2, T0 >::type *=0) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | _init2 (const T0 &val0, const T1 &val1, typename internal::enable_if< Base::SizeAtCompileTime==2, T0 >::type *=0) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | _init2 (const Index &val0, const Index &val1, typename internal::enable_if<(!internal::is_same< Index, Scalar >::value) &&(internal::is_same< T0, Index >::value) &&(internal::is_same< T1, Index >::value) &&Base::SizeAtCompileTime==2, T1 >::type *=0) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | _resize_to_match (const EigenBase< OtherDerived > &other) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | _set (const DenseBase< OtherDerived > &other) |
Copies the value of the expression other into *this with automatic resizing. More... | |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | _set_noalias (const DenseBase< OtherDerived > &other) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE | PlainObjectBase () |
EIGEN_DEVICE_FUNC | PlainObjectBase (internal::constructor_without_unaligned_array_assert) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE | PlainObjectBase (const PlainObjectBase &other) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE | PlainObjectBase (Index size, Index rows, Index cols) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE | PlainObjectBase (const DenseBase< OtherDerived > &other) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE | PlainObjectBase (const EigenBase< OtherDerived > &other) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE | PlainObjectBase (const ReturnByValue< OtherDerived > &other) |
Copy constructor with in-place evaluation. More... | |
Protected Attributes inherited from Eigen::PlainObjectBase< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > > | |
DenseStorage< Scalar, Base::MaxSizeAtCompileTime, Base::RowsAtCompileTime, Base::ColsAtCompileTime, Options > | m_storage |
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:
_Scalar | Numeric type, e.g. float, double, int or std::complex<float>. User defined scalar types are supported as well (see here). |
_Rows | Number of rows, or Dynamic |
_Cols | Number of columns, or Dynamic |
The remaining template parameters are optional – in most cases you don't have to worry about them.
_Options | A 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. |
_MaxRows | Maximum number of rows. Defaults to _Rows (note). |
_MaxCols | Maximum number of columns. Defaults to _Cols (note). |
Eigen provides a number of typedefs covering the usual cases. Here are some examples:
Matrix2d
is a 2x2 square matrix of doubles (Matrix<double, 2, 2>
) Vector4f
is a vector of 4 floats (Matrix<float, 4, 1>
) RowVector3i
is a row-vector of 3 ints (Matrix<int, 1, 3>
)MatrixXf
is a dynamic-size matrix of floats (Matrix<float, Dynamic, Dynamic>
) VectorXf
is a dynamic-size vector of floats (Matrix<float, Dynamic, 1>
)Matrix2Xf
is a partially fixed-size (dynamic-size) matrix of floats (Matrix<float, 2, Dynamic>
) MatrixX3d
is a partially dynamic-size (fixed-size) matrix of double (Matrix<double, Dynamic, 3>
)See this page for a complete list of predefined Matrix and Vector typedefs.
You can access elements of vectors and matrices using normal subscripting:
This class can be extended with the help of the plugin mechanism described on the page Extending MatrixBase (and other classes) by defining the preprocessor symbol EIGEN_MATRIX_PLUGIN
.
Some notes:
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 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.
ABI and storage layout
The table below summarizes the ABI of some possible Matrix instances which is fixed thorough the lifetime of Eigen 3.
Matrix type | Equivalent C structure |
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Matrix<T,Dynamic,Dynamic> | |
Matrix<T,Dynamic,1> Matrix<T,1,Dynamic> | |
Matrix<T,Rows,Cols> | |
Matrix<T,Dynamic,Dynamic,0,MaxRows,MaxCols> |
Note that in this table Rows, Cols, MaxRows and MaxCols are all positive integers. A(S) is defined to the largest possible power-of-two smaller to EIGEN_MAX_STATIC_ALIGN_BYTES.
Definition at line 178 of file 3rdparty/Eigen/Eigen/src/Core/Matrix.h.
typedef PlainObjectBase<Matrix> Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::Base |
Base class typedef.
Definition at line 186 of file 3rdparty/Eigen/Eigen/src/Core/Matrix.h.
typedef Base::PlainObject Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::PlainObject |
Definition at line 192 of file 3rdparty/Eigen/Eigen/src/Core/Matrix.h.
anonymous enum |
Enumerator | |
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Options |
Definition at line 188 of file 3rdparty/Eigen/Eigen/src/Core/Matrix.h.
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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.
Definition at line 259 of file 3rdparty/Eigen/Eigen/src/Core/Matrix.h.
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Definition at line 267 of file 3rdparty/Eigen/Eigen/src/Core/Matrix.h.
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Definition at line 329 of file 3rdparty/Eigen/Eigen/src/Core/Matrix.h.
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Definition at line 337 of file 3rdparty/Eigen/Eigen/src/Core/Matrix.h.
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Copy constructor.
Definition at line 414 of file 3rdparty/Eigen/Eigen/src/Core/Matrix.h.
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Copy constructor for generic expressions.
Definition at line 422 of file 3rdparty/Eigen/Eigen/src/Core/Matrix.h.
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Constructs a Dim x Dim rotation matrix from the rotation r.
Definition at line 141 of file RotationBase.h.
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Definition at line 427 of file 3rdparty/Eigen/Eigen/src/Core/Matrix.h.
EIGEN_DEVICE_FUNC Matrix<_Scalar, _Rows, _Cols, _Storage, _MaxRows, _MaxCols>& Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::operator= | ( | const RotationBase< OtherDerived, ColsAtCompileTime > & | r | ) |
Set a Dim x Dim rotation matrix from the rotation r.
Definition at line 155 of file RotationBase.h.
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Assigns matrices to each other.
Definition at line 206 of file 3rdparty/Eigen/Eigen/src/Core/Matrix.h.
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Definition at line 223 of file 3rdparty/Eigen/Eigen/src/Core/Matrix.h.
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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
Definition at line 236 of file 3rdparty/Eigen/Eigen/src/Core/Matrix.h.
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Definition at line 243 of file 3rdparty/Eigen/Eigen/src/Core/Matrix.h.
EIGEN_DEVICE_FUNC Matrix& Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::operator= | ( | const RotationBase< OtherDerived, ColsAtCompileTime > & | r | ) |
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Definition at line 429 of file 3rdparty/Eigen/Eigen/src/Core/Matrix.h.
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Definition at line 447 of file 3rdparty/Eigen/Eigen/src/Core/Matrix.h.