|
enum | { Options = _Options
} |
|
typedef PlainObjectBase< Matrix > | Base |
| Base class typedef. More...
|
|
typedef Base::PlainObject | PlainObject |
|
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 |
|
|
EIGEN_DEVICE_FUNC Index | innerStride () const |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE | Matrix () |
| Default constructor. More...
|
|
EIGEN_DEVICE_FUNC | Matrix (internal::constructor_without_unaligned_array_assert) |
|
template<typename T > |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE | Matrix (const T &x) |
|
template<typename T0 , typename T1 > |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE | Matrix (const T0 &x, const T1 &y) |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE | Matrix (const Scalar &x, const Scalar &y, const Scalar &z) |
| Constructs an initialized 3D vector with given coefficients. More...
|
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE | Matrix (const Scalar &x, const Scalar &y, const Scalar &z, const Scalar &w) |
| Constructs an initialized 4D vector with given coefficients. More...
|
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE | Matrix (const Matrix &other) |
| Copy constructor. More...
|
|
template<typename OtherDerived > |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE | Matrix (const EigenBase< OtherDerived > &other) |
| Copy constructor for generic expressions. More...
|
|
template<typename OtherDerived > |
EIGEN_DEVICE_FUNC | Matrix (const RotationBase< OtherDerived, ColsAtCompileTime > &r) |
| Constructs a Dim x Dim rotation matrix from the rotation r. More...
|
|
template<typename OtherDerived > |
EIGEN_DEVICE_FUNC Matrix< _Scalar, _Rows, _Cols, _Storage, _MaxRows, _MaxCols > & | operator= (const RotationBase< OtherDerived, ColsAtCompileTime > &r) |
| Set a Dim x Dim rotation matrix from the rotation r. More...
|
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Matrix & | operator= (const Matrix &other) |
| Assigns matrices to each other. More...
|
|
template<typename OtherDerived > |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Matrix & | operator= (const DenseBase< OtherDerived > &other) |
|
template<typename OtherDerived > |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Matrix & | operator= (const EigenBase< OtherDerived > &other) |
| Copies the generic expression other into *this. More...
|
|
template<typename OtherDerived > |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Matrix & | operator= (const ReturnByValue< OtherDerived > &func) |
|
template<typename OtherDerived > |
EIGEN_DEVICE_FUNC Matrix & | operator= (const RotationBase< OtherDerived, ColsAtCompileTime > &r) |
|
EIGEN_DEVICE_FUNC Index | outerStride () const |
|
EIGEN_DEVICE_FUNC Base & | base () |
|
EIGEN_DEVICE_FUNC const Base & | base () const |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar & | coeff (Index rowId, Index colId) const |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar & | coeff (Index index) const |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Scalar & | coeffRef (Index rowId, Index colId) |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Scalar & | coeffRef (Index index) |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar & | coeffRef (Index rowId, Index colId) const |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar & | coeffRef (Index index) const |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index | cols () const |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | conservativeResize (Index rows, Index cols) |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | conservativeResize (Index rows, NoChange_t) |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | conservativeResize (NoChange_t, Index cols) |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | conservativeResize (Index size) |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | conservativeResizeLike (const DenseBase< OtherDerived > &other) |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar * | data () const |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Scalar * | data () |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | lazyAssign (const DenseBase< OtherDerived > &other) |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | operator= (const PlainObjectBase &other) |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | operator= (const ReturnByValue< OtherDerived > &func) |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | operator= (const EigenBase< OtherDerived > &other) |
| Copies the generic expression other into *this. More...
|
|
EIGEN_STRONG_INLINE PacketScalar | packet (Index rowId, Index colId) const |
|
EIGEN_STRONG_INLINE PacketScalar | packet (Index index) const |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | resize (Index rows, Index cols) |
|
EIGEN_DEVICE_FUNC void | resize (Index size) |
|
EIGEN_DEVICE_FUNC void | resize (NoChange_t, Index cols) |
|
EIGEN_DEVICE_FUNC void | resize (Index rows, NoChange_t) |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | resizeLike (const EigenBase< OtherDerived > &_other) |
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index | rows () const |
|
EIGEN_DEVICE_FUNC Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setConstant (Index size, const Scalar &val) |
|
EIGEN_DEVICE_FUNC Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setConstant (Index rows, Index cols, const Scalar &val) |
|
EIGEN_DEVICE_FUNC Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setOnes (Index size) |
|
EIGEN_DEVICE_FUNC Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setOnes (Index rows, Index cols) |
|
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setRandom (Index size) |
|
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setRandom (Index rows, Index cols) |
|
EIGEN_DEVICE_FUNC Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setZero (Index size) |
|
EIGEN_DEVICE_FUNC Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setZero (Index rows, Index cols) |
|
EIGEN_DEVICE_FUNC void | swap (DenseBase< OtherDerived > &other) |
|
EIGEN_DEVICE_FUNC void | swap (DenseBase< OtherDerived > const &other) |
|
EIGEN_STRONG_INLINE void | writePacket (Index rowId, Index colId, const PacketScalar &val) |
|
EIGEN_STRONG_INLINE void | writePacket (Index index, const PacketScalar &val) |
|
|
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) |
|
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...
|
|
DenseStorage< Scalar, Base::MaxSizeAtCompileTime, Base::RowsAtCompileTime, Base::ColsAtCompileTime, Options > | m_storage |
|
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
-
_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.
- Template Parameters
-
_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:
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 TopicCustomizing_Plugins 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.
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 |
Matrix<T,Dynamic,Dynamic> | |
Matrix<T,Dynamic,1> Matrix<T,1,Dynamic> | |
| |
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.
- See also
- MatrixBase for the majority of the API methods for matrices, TopicClassHierarchy, TopicStorageOrders
Definition at line 178 of file Matrix.h.