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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 |
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typedef internal::dense_xpr_base< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > >::type | Base |
typedef internal::traits< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > >::StorageKind | StorageKind |
typedef internal::traits< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > >::Scalar | Scalar |
typedef internal::packet_traits< Scalar >::type | PacketScalar |
typedef NumTraits< Scalar >::Real | RealScalar |
typedef Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > | DenseType |
typedef Eigen::Map< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >, Unaligned > | MapType |
typedef const Eigen::Map< const Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >, Unaligned > | ConstMapType |
typedef Eigen::Map< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >, AlignedMax > | AlignedMapType |
typedef const Eigen::Map< const Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >, AlignedMax > | ConstAlignedMapType |
Public Member Functions | |
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) |
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. | |
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. | |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE | Matrix (const Matrix &other) |
Copy constructor. | |
template<typename OtherDerived > | |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE | Matrix (const EigenBase< OtherDerived > &other) |
Copy constructor for generic expressions. More... | |
EIGEN_DEVICE_FUNC Index | innerStride () const |
EIGEN_DEVICE_FUNC Index | outerStride () const |
template<typename OtherDerived > | |
EIGEN_DEVICE_FUNC | Matrix (const RotationBase< OtherDerived, ColsAtCompileTime > &r) |
template<typename OtherDerived > | |
EIGEN_DEVICE_FUNC Matrix & | operator= (const RotationBase< OtherDerived, ColsAtCompileTime > &r) |
template<typename OtherDerived > | |
EIGEN_DEVICE_FUNC Matrix< _Scalar, _Rows, _Cols, _Storage, _MaxRows, _MaxCols > & | operator= (const RotationBase< OtherDerived, ColsAtCompileTime > &r) |
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EIGEN_DEVICE_FUNC Base & | base () |
EIGEN_DEVICE_FUNC const Base & | base () const |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index | rows () const |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index | cols () const |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar & | coeff (Index rowId, Index colId) const |
This is an overloaded version of DenseCoeffsBase<Derived,ReadOnlyAccessors>::coeff(Index,Index) const provided to by-pass the creation of an evaluator of the expression, thus saving compilation efforts. More... | |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar & | coeff (Index index) const |
This is an overloaded version of DenseCoeffsBase<Derived,ReadOnlyAccessors>::coeff(Index) const provided to by-pass the creation of an evaluator of the expression, thus saving compilation efforts. More... | |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Scalar & | coeffRef (Index rowId, Index colId) |
This is an overloaded version of DenseCoeffsBase<Derived,WriteAccessors>::coeffRef(Index,Index) const provided to by-pass the creation of an evaluator of the expression, thus saving compilation efforts. More... | |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Scalar & | coeffRef (Index index) |
This is an overloaded version of DenseCoeffsBase<Derived,WriteAccessors>::coeffRef(Index) const provided to by-pass the creation of an evaluator of the expression, thus saving compilation efforts. More... | |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar & | coeffRef (Index rowId, Index colId) const |
This is the const version of coeffRef(Index,Index) which is thus synonym of coeff(Index,Index). More... | |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar & | coeffRef (Index index) const |
This is the const version of coeffRef(Index) which is thus synonym of coeff(Index). More... | |
EIGEN_STRONG_INLINE PacketScalar | packet (Index rowId, Index colId) const |
EIGEN_STRONG_INLINE PacketScalar | packet (Index index) const |
EIGEN_STRONG_INLINE void | writePacket (Index rowId, Index colId, const PacketScalar &val) |
EIGEN_STRONG_INLINE void | writePacket (Index index, const PacketScalar &val) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar * | data () const |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Scalar * | data () |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | resize (Index rows, Index cols) |
Resizes *this to a rows x cols matrix. More... | |
EIGEN_DEVICE_FUNC void | resize (Index size) |
Resizes *this to a vector of length size. More... | |
EIGEN_DEVICE_FUNC void | resize (NoChange_t, Index cols) |
Resizes the matrix, changing only the number of columns. More... | |
EIGEN_DEVICE_FUNC void | resize (Index rows, NoChange_t) |
Resizes the matrix, changing only the number of rows. More... | |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | resizeLike (const EigenBase< OtherDerived > &_other) |
Resizes *this to have the same dimensions as other. More... | |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | conservativeResize (Index rows, Index cols) |
Resizes the matrix to rows x cols while leaving old values untouched. More... | |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | conservativeResize (Index rows, NoChange_t) |
Resizes the matrix to rows x cols while leaving old values untouched. More... | |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | conservativeResize (NoChange_t, Index cols) |
Resizes the matrix to rows x cols while leaving old values untouched. More... | |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | conservativeResize (Index size) |
Resizes the vector to size while retaining old values. More... | |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void | conservativeResizeLike (const DenseBase< OtherDerived > &other) |
Resizes the matrix to rows x cols of other , while leaving old values untouched. More... | |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | operator= (const PlainObjectBase &other) |
This is a special case of the templated operator=. More... | |
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) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | lazyAssign (const DenseBase< OtherDerived > &other) |
EIGEN_DEVICE_FUNC Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setConstant (Index size, const Scalar &val) |
Resizes to the given size, and sets all coefficients in this expression to the given value val. More... | |
EIGEN_DEVICE_FUNC Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setConstant (Index rows, Index cols, const Scalar &val) |
Resizes to the given size, and sets all coefficients in this expression to the given value val. More... | |
EIGEN_DEVICE_FUNC Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setZero (Index size) |
Resizes to the given size, and sets all coefficients in this expression to zero. More... | |
EIGEN_DEVICE_FUNC Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setZero (Index rows, Index cols) |
Resizes to the given size, and sets all coefficients in this expression to zero. More... | |
EIGEN_DEVICE_FUNC Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setOnes (Index size) |
Resizes to the given newSize, and sets all coefficients in this expression to one. More... | |
EIGEN_DEVICE_FUNC Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setOnes (Index rows, Index cols) |
Resizes to the given size, and sets all coefficients in this expression to one. More... | |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setRandom (Index size) |
Resizes to the given newSize, and sets all coefficients in this expression to random values. More... | |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setRandom (Index rows, Index cols) |
Resizes to the given size, and sets all coefficients in this expression to random values. More... | |
EIGEN_DEVICE_FUNC void | swap (DenseBase< OtherDerived > &other) |
EIGEN_DEVICE_FUNC void | swap (DenseBase< OtherDerived > const &other) |
Friends | |
template<typename Derived , typename OtherDerived , bool IsVector> | |
struct | internal::conservative_resize_like_impl |
Additional Inherited Members | |
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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) |
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EIGEN_DEVICE_FUNC | PlainObjectBase (internal::constructor_without_unaligned_array_assert) |
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE | PlainObjectBase (const PlainObjectBase &other) |
Copy constructor. | |
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. | |
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 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 | _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 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) |
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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.
typedef PlainObjectBase<Matrix> Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::Base |
Base class typedef.
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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.
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inline |
Copy constructor for generic expressions.
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explicit |
Constructs a Dim x Dim rotation matrix from the rotation r
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
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inline |
Assigns matrices to each other.
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inline |
Copies the generic expression other into *this.