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Eigen
3.4.0
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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 |
---|---|
struct {
T *data; // with (size_t(data)%EIGEN_MAX_ALIGN_BYTES)==0
Eigen::Index rows, cols;
};
const Scalar * data() const Definition PlainObjectBase.h:247 EIGEN_DEFAULT_DENSE_INDEX_TYPE Index The Index type as used for the API. Definition Meta.h:74 | |
struct {
T *data; // with (size_t(data)%EIGEN_MAX_ALIGN_BYTES)==0
};
EIGEN_CONSTEXPR Index size() const EIGEN_NOEXCEPT Definition EigenBase.h:67 | |
struct {
T data[MaxRows*MaxCols]; // with (size_t(data)%A(MaxRows*MaxCols*sizeof(T)))==0
Eigen::Index rows, cols;
};
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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.
Public Types | |
typedef PlainObjectBase< Matrix > | Base |
Base class typedef. | |
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enum | { RowsAtCompileTime , ColsAtCompileTime , SizeAtCompileTime , MaxRowsAtCompileTime , MaxColsAtCompileTime , MaxSizeAtCompileTime , IsVectorAtCompileTime , NumDimensions , Flags , IsRowMajor , InnerSizeAtCompileTime , InnerStrideAtCompileTime , OuterStrideAtCompileTime } |
typedef random_access_iterator_type | const_iterator |
typedef random_access_iterator_type | iterator |
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 > | PlainArray |
typedef Matrix< 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 > | PlainMatrix |
typedef internal::conditional< internal::is_same< typenameinternal::traits< Derived >::XprKind, MatrixXpr >::value, PlainMatrix, PlainArray >::type | PlainObject |
The plain matrix or array type corresponding to this expression. | |
typedef internal::traits< Derived >::Scalar | Scalar |
typedef internal::traits< Derived >::StorageIndex | StorageIndex |
The type used to store indices. | |
typedef Scalar | value_type |
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typedef Eigen::Index | Index |
The interface type of indices. | |
Public Member Functions | |
Scalar & | coeffRef (Index index) |
const Scalar & | coeffRef (Index index) const |
Scalar & | coeffRef (Index rowId, Index colId) |
const Scalar & | coeffRef (Index rowId, Index colId) const |
Matrix () | |
Default constructor. | |
template<typename OtherDerived> | |
Matrix (const EigenBase< OtherDerived > &other) | |
Copy constructor for generic expressions. | |
Matrix (const Matrix &other) | |
Copy constructor. | |
template<typename OtherDerived> | |
Matrix (const RotationBase< OtherDerived, ColsAtCompileTime > &r) | |
Constructs a Dim x Dim rotation matrix from the rotation r. | |
template<typename... ArgTypes> | |
Matrix (const Scalar &a0, const Scalar &a1, const Scalar &a2, const Scalar &a3, const ArgTypes &... args) | |
Matrix (const Scalar &x) | |
Constructs an initialized 1x1 matrix with the given coefficient. | |
Matrix (const Scalar &x, const Scalar &y) | |
Constructs an initialized 2D vector with given coefficients. | |
Matrix (const Scalar &x, const Scalar &y, const Scalar &z) | |
Constructs an initialized 3D vector with given coefficients. | |
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) | |
Constructs a fixed-sized matrix initialized with coefficients starting at data. | |
Matrix (const std::initializer_list< std::initializer_list< Scalar > > &list) | |
Constructs a Matrix and initializes it from the coefficients given as initializer-lists grouped by row. [c++11] | |
Matrix (Index dim) | |
Constructs a vector or row-vector with given dimension. This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column. | |
Matrix (Index rows, Index cols) | |
Constructs an uninitialized matrix with rows rows and cols columns. | |
template<typename OtherDerived> | |
Matrix & | operator= (const EigenBase< OtherDerived > &other) |
Copies the generic expression other into *this. | |
Matrix & | operator= (const Matrix &other) |
Assigns matrices to each other. | |
template<typename OtherDerived> | |
Matrix< _Scalar, _Rows, _Cols, _Storage, _MaxRows, _MaxCols > & | operator= (const RotationBase< OtherDerived, ColsAtCompileTime > &r) |
Set a Dim x Dim rotation matrix from the rotation r. | |
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const Scalar & | coeff (Index index) const |
const Scalar & | coeff (Index rowId, Index colId) const |
Scalar & | coeffRef (Index index) |
const Scalar & | coeffRef (Index index) const |
Scalar & | coeffRef (Index rowId, Index colId) |
const Scalar & | coeffRef (Index rowId, Index colId) const |
void | conservativeResize (Index rows, Index cols) |
void | conservativeResize (Index rows, NoChange_t) |
void | conservativeResize (Index size) |
void | conservativeResize (NoChange_t, Index cols) |
void | conservativeResizeLike (const DenseBase< OtherDerived > &other) |
Scalar * | data () |
const Scalar * | data () const |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | lazyAssign (const DenseBase< OtherDerived > &other) |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | operator= (const EigenBase< OtherDerived > &other) |
Copies the generic expression other into *this. | |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | operator= (const PlainObjectBase &other) |
void | resize (Index rows, Index cols) |
void | resize (Index rows, NoChange_t) |
void | resize (Index size) |
void | resize (NoChange_t, Index cols) |
void | resizeLike (const EigenBase< OtherDerived > &_other) |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setConstant (Index size, const Scalar &val) |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setConstant (Index rows, Index cols, const Scalar &val) |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setConstant (NoChange_t, Index cols, const Scalar &val) |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setConstant (Index rows, NoChange_t, const Scalar &val) |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setZero (Index size) |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setZero (Index rows, Index cols) |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setZero (NoChange_t, Index cols) |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setZero (Index rows, NoChange_t) |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setOnes (Index size) |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setOnes (Index rows, Index cols) |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setOnes (NoChange_t, Index cols) |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setOnes (Index rows, NoChange_t) |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setRandom (Index size) |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setRandom (Index rows, Index cols) |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setRandom (NoChange_t, Index cols) |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | setRandom (Index rows, NoChange_t) |
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const MatrixFunctionReturnValue< Derived > | acosh () const |
This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise inverse hyperbolic cosine use ArrayBase::acosh . | |
const AdjointReturnType | adjoint () const |
void | adjointInPlace () |
template<typename EssentialPart> | |
void | applyHouseholderOnTheLeft (const EssentialPart &essential, const Scalar &tau, Scalar *workspace) |
template<typename EssentialPart> | |
void | applyHouseholderOnTheRight (const EssentialPart &essential, const Scalar &tau, Scalar *workspace) |
template<typename OtherDerived> | |
void | applyOnTheLeft (const EigenBase< OtherDerived > &other) |
template<typename OtherScalar> | |
void | applyOnTheLeft (Index p, Index q, const JacobiRotation< OtherScalar > &j) |
template<typename OtherDerived> | |
void | applyOnTheRight (const EigenBase< OtherDerived > &other) |
template<typename OtherScalar> | |
void | applyOnTheRight (Index p, Index q, const JacobiRotation< OtherScalar > &j) |
ArrayWrapper< Derived > | array () |
const ArrayWrapper< const Derived > | array () const |
const DiagonalWrapper< const Derived > | asDiagonal () const |
const MatrixFunctionReturnValue< Derived > | asinh () const |
This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise inverse hyperbolic sine use ArrayBase::asinh . | |
const MatrixFunctionReturnValue< Derived > | atanh () const |
This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise inverse hyperbolic cosine use ArrayBase::atanh . | |
BDCSVD< PlainObject > | bdcSvd (unsigned int computationOptions=0) const |
template<typename CustomBinaryOp, typename OtherDerived> | |
const CwiseBinaryOp< CustomBinaryOp, const Derived, const OtherDerived > | binaryExpr (const Eigen::MatrixBase< OtherDerived > &other, const CustomBinaryOp &func=CustomBinaryOp()) const |
RealScalar | blueNorm () const |
const ColPivHouseholderQR< PlainObject > | colPivHouseholderQr () const |
const CompleteOrthogonalDecomposition< PlainObject > | completeOrthogonalDecomposition () const |
template<typename ResultType> | |
void | computeInverseAndDetWithCheck (ResultType &inverse, typename ResultType::Scalar &determinant, bool &invertible, const RealScalar &absDeterminantThreshold=NumTraits< Scalar >::dummy_precision()) const |
template<typename ResultType> | |
void | computeInverseWithCheck (ResultType &inverse, bool &invertible, const RealScalar &absDeterminantThreshold=NumTraits< Scalar >::dummy_precision()) const |
const MatrixFunctionReturnValue< Derived > | cos () const |
This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise cosine use ArrayBase::cos . | |
const MatrixFunctionReturnValue< Derived > | cosh () const |
This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise hyperbolic cosine use ArrayBase::cosh . | |
template<typename OtherDerived> | |
PlainObject | cross (const MatrixBase< OtherDerived > &other) const |
template<typename OtherDerived> | |
PlainObject | cross3 (const MatrixBase< OtherDerived > &other) const |
const CwiseAbsReturnType | cwiseAbs () const |
const CwiseAbs2ReturnType | cwiseAbs2 () const |
const CwiseArgReturnType | cwiseArg () const |
template<typename OtherDerived> | |
const CwiseBinaryOp< numext::equal_to< Scalar >, const Derived, const OtherDerived > | cwiseEqual (const Eigen::MatrixBase< OtherDerived > &other) const |
const CwiseScalarEqualReturnType | cwiseEqual (const Scalar &s) const |
const CwiseInverseReturnType | cwiseInverse () const |
template<typename OtherDerived> | |
const CwiseBinaryOp< internal::scalar_max_op< Scalar, Scalar >, const Derived, const OtherDerived > | cwiseMax (const Eigen::MatrixBase< OtherDerived > &other) const |
const CwiseBinaryOp< internal::scalar_max_op< Scalar, Scalar >, const Derived, const ConstantReturnType > | cwiseMax (const Scalar &other) const |
template<typename OtherDerived> | |
const CwiseBinaryOp< internal::scalar_min_op< Scalar, Scalar >, const Derived, const OtherDerived > | cwiseMin (const Eigen::MatrixBase< OtherDerived > &other) const |
const CwiseBinaryOp< internal::scalar_min_op< Scalar, Scalar >, const Derived, const ConstantReturnType > | cwiseMin (const Scalar &other) const |
template<typename OtherDerived> | |
const CwiseBinaryOp< numext::not_equal_to< Scalar >, const Derived, const OtherDerived > | cwiseNotEqual (const Eigen::MatrixBase< OtherDerived > &other) const |
template<typename OtherDerived> | |
const CwiseBinaryOp< internal::scalar_product_op< Derived ::Scalar, OtherDerived ::Scalar >, const Derived, const OtherDerived > | cwiseProduct (const Eigen::MatrixBase< OtherDerived > &other) const |
template<typename OtherDerived> | |
const CwiseBinaryOp< internal::scalar_quotient_op< Scalar >, const Derived, const OtherDerived > | cwiseQuotient (const Eigen::MatrixBase< OtherDerived > &other) const |
const CwiseSignReturnType | cwiseSign () const |
const CwiseSqrtReturnType | cwiseSqrt () const |
Scalar | determinant () const |
template<int Index_> | |
MatrixBase< Derived >::template DiagonalIndexReturnType< Index_ >::Type | diagonal () |
DiagonalReturnType | diagonal () |
template<int Index_> | |
MatrixBase< Derived >::template ConstDiagonalIndexReturnType< Index_ >::Type | diagonal () const |
ConstDiagonalReturnType | diagonal () const |
DiagonalDynamicIndexReturnType | diagonal (Index index) |
ConstDiagonalDynamicIndexReturnType | diagonal (Index index) const |
Index | diagonalSize () const |
template<typename OtherDerived> | |
ScalarBinaryOpTraits< typenameinternal::traits< Derived >::Scalar, typenameinternal::traits< OtherDerived >::Scalar >::ReturnType | dot (const MatrixBase< OtherDerived > &other) const |
EigenvaluesReturnType | eigenvalues () const |
Computes the eigenvalues of a matrix. | |
Matrix< Scalar, 3, 1 > | eulerAngles (Index a0, Index a1, Index a2) const |
const MatrixExponentialReturnValue< Derived > | exp () const |
This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise exponential use ArrayBase::exp . | |
Derived & | forceAlignedAccess () |
const Derived & | forceAlignedAccess () const |
template<bool Enable> | |
internal::conditional< Enable, ForceAlignedAccess< Derived >, Derived & >::type | forceAlignedAccessIf () |
template<bool Enable> | |
internal::add_const_on_value_type< typenameinternal::conditional< Enable, ForceAlignedAccess< Derived >, Derived & >::type >::type | forceAlignedAccessIf () const |
const FullPivHouseholderQR< PlainObject > | fullPivHouseholderQr () const |
const FullPivLU< PlainObject > | fullPivLu () const |
const HNormalizedReturnType | hnormalized () const |
homogeneous normalization | |
HomogeneousReturnType | homogeneous () const |
const HouseholderQR< PlainObject > | householderQr () const |
RealScalar | hypotNorm () const |
const Inverse< Derived > | inverse () const |
bool | isDiagonal (const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const |
bool | isIdentity (const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const |
bool | isLowerTriangular (const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const |
template<typename OtherDerived> | |
bool | isOrthogonal (const MatrixBase< OtherDerived > &other, const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const |
bool | isUnitary (const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const |
bool | isUpperTriangular (const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const |
JacobiSVD< PlainObject > | jacobiSvd (unsigned int computationOptions=0) const |
template<typename OtherDerived> | |
const Product< Derived, OtherDerived, LazyProduct > | lazyProduct (const MatrixBase< OtherDerived > &other) const |
const LDLT< PlainObject > | ldlt () const |
const LLT< PlainObject > | llt () const |
const MatrixLogarithmReturnValue< Derived > | log () const |
This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise logarithm use ArrayBase::log . | |
template<int p> | |
RealScalar | lpNorm () const |
const PartialPivLU< PlainObject > | lu () const |
template<typename EssentialPart> | |
void | makeHouseholder (EssentialPart &essential, Scalar &tau, RealScalar &beta) const |
void | makeHouseholderInPlace (Scalar &tau, RealScalar &beta) |
const MatrixFunctionReturnValue< Derived > | matrixFunction (StemFunction f) const |
Helper function for the unsupported MatrixFunctions module. | |
NoAlias< Derived, Eigen::MatrixBase > | noalias () |
RealScalar | norm () const |
void | normalize () |
const PlainObject | normalized () const |
template<typename OtherDerived> | |
bool | operator!= (const MatrixBase< OtherDerived > &other) const |
template<typename OtherDerived> | |
const CwiseBinaryOp< internal::scalar_boolean_and_op, const Derived, const OtherDerived > | operator&& (const Eigen::MatrixBase< OtherDerived > &other) const |
template<typename DiagonalDerived> | |
const Product< Derived, DiagonalDerived, LazyProduct > | operator* (const DiagonalBase< DiagonalDerived > &diagonal) const |
template<typename OtherDerived> | |
const Product< Derived, OtherDerived > | operator* (const MatrixBase< OtherDerived > &other) const |
template<typename T> | |
const CwiseBinaryOp< internal::scalar_product_op< Scalar, T >, Derived, Constant< T > > | operator* (const T &scalar) const |
template<typename OtherDerived> | |
Derived & | operator*= (const EigenBase< OtherDerived > &other) |
template<typename OtherDerived> | |
const CwiseBinaryOp< sum< Scalar >, const Derived, const OtherDerived > | operator+ (const Eigen::MatrixBase< OtherDerived > &other) const |
template<typename OtherDerived> | |
Derived & | operator+= (const MatrixBase< OtherDerived > &other) |
template<typename OtherDerived> | |
const CwiseBinaryOp< difference< Scalar >, const Derived, const OtherDerived > | operator- (const Eigen::MatrixBase< OtherDerived > &other) const |
template<typename OtherDerived> | |
Derived & | operator-= (const MatrixBase< OtherDerived > &other) |
template<typename T> | |
const CwiseBinaryOp< internal::scalar_quotient_op< Scalar, T >, Derived, Constant< T > > | operator/ (const T &scalar) const |
Derived & | operator= (const MatrixBase &other) |
template<typename OtherDerived> | |
bool | operator== (const MatrixBase< OtherDerived > &other) const |
RealScalar | operatorNorm () const |
Computes the L2 operator norm. | |
template<typename OtherDerived> | |
const CwiseBinaryOp< internal::scalar_boolean_or_op, const Derived, const OtherDerived > | operator|| (const Eigen::MatrixBase< OtherDerived > &other) const |
const PartialPivLU< PlainObject > | partialPivLu () const |
const MatrixPowerReturnValue< Derived > | pow (const RealScalar &p) const |
This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise power to p use ArrayBase::pow . | |
const MatrixComplexPowerReturnValue< Derived > | pow (const std::complex< RealScalar > &p) const |
This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise power to p use ArrayBase::pow . | |
template<unsigned int UpLo> | |
MatrixBase< Derived >::template SelfAdjointViewReturnType< UpLo >::Type | selfadjointView () |
template<unsigned int UpLo> | |
MatrixBase< Derived >::template ConstSelfAdjointViewReturnType< UpLo >::Type | selfadjointView () const |
Derived & | setIdentity () |
Derived & | setIdentity (Index rows, Index cols) |
Resizes to the given size, and writes the identity expression (not necessarily square) into *this. | |
Derived & | setUnit (Index i) |
Set the coefficients of *this to the i-th unit (basis) vector. | |
Derived & | setUnit (Index newSize, Index i) |
Resizes to the given newSize, and writes the i-th unit (basis) vector into *this. | |
const MatrixFunctionReturnValue< Derived > | sin () const |
This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise sine use ArrayBase::sin . | |
const MatrixFunctionReturnValue< Derived > | sinh () const |
This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise hyperbolic sine use ArrayBase::sinh . | |
const SparseView< Derived > | sparseView (const Scalar &m_reference=Scalar(0), const typename NumTraits< Scalar >::Real &m_epsilon=NumTraits< Scalar >::dummy_precision()) const |
const MatrixSquareRootReturnValue< Derived > | sqrt () const |
This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise square root use ArrayBase::sqrt . | |
RealScalar | squaredNorm () const |
RealScalar | stableNorm () const |
void | stableNormalize () |
const PlainObject | stableNormalized () const |
Scalar | trace () const |
template<unsigned int Mode> | |
MatrixBase< Derived >::template TriangularViewReturnType< Mode >::Type | triangularView () |
template<unsigned int Mode> | |
MatrixBase< Derived >::template ConstTriangularViewReturnType< Mode >::Type | triangularView () const |
PlainObject | unitOrthogonal (void) const |
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bool | all () const |
bool | allFinite () const |
bool | any () const |
iterator | begin () |
const_iterator | begin () const |
template<int NRows, int NCols> | |
FixedBlockXpr< NRows, NCols >::Type | block (Index startRow, Index startCol) |
template<int NRows, int NCols> | |
const ConstFixedBlockXpr< NRows, NCols >::Type | block (Index startRow, Index startCol) const |
This is the const version of block<>(Index, Index). */. | |
template<int NRows, int NCols> | |
FixedBlockXpr< NRows, NCols >::Type | block (Index startRow, Index startCol, Index blockRows, Index blockCols) |
template<int NRows, int NCols> | |
const ConstFixedBlockXpr< NRows, NCols >::Type | block (Index startRow, Index startCol, Index blockRows, Index blockCols) const |
This is the const version of block<>(Index, Index, Index, Index). | |
template<typename NRowsType, typename NColsType> | |
FixedBlockXpr<...,... >::Type | block (Index startRow, Index startCol, NRowsType blockRows, NColsType blockCols) |
template<typename NRowsType, typename NColsType> | |
const ConstFixedBlockXpr<...,... >::Type | block (Index startRow, Index startCol, NRowsType blockRows, NColsType blockCols) const |
This is the const version of block(Index,Index,NRowsType,NColsType) | |
template<int CRows, int CCols> | |
FixedBlockXpr< CRows, CCols >::Type | bottomLeftCorner () |
template<int CRows, int CCols> | |
const ConstFixedBlockXpr< CRows, CCols >::Type | bottomLeftCorner () const |
This is the const version of bottomLeftCorner<int, int>(). | |
template<int CRows, int CCols> | |
FixedBlockXpr< CRows, CCols >::Type | bottomLeftCorner (Index cRows, Index cCols) |
template<int CRows, int CCols> | |
const ConstFixedBlockXpr< CRows, CCols >::Type | bottomLeftCorner (Index cRows, Index cCols) const |
This is the const version of bottomLeftCorner<int, int>(Index, Index). | |
template<typename NRowsType, typename NColsType> | |
FixedBlockXpr<...,... >::Type | bottomLeftCorner (NRowsType cRows, NColsType cCols) |
template<typename NRowsType, typename NColsType> | |
ConstFixedBlockXpr<...,... >::Type | bottomLeftCorner (NRowsType cRows, NColsType cCols) const |
This is the const version of bottomLeftCorner(NRowsType, NColsType). | |
template<int CRows, int CCols> | |
FixedBlockXpr< CRows, CCols >::Type | bottomRightCorner () |
template<int CRows, int CCols> | |
const ConstFixedBlockXpr< CRows, CCols >::Type | bottomRightCorner () const |
This is the const version of bottomRightCorner<int, int>(). | |
template<int CRows, int CCols> | |
FixedBlockXpr< CRows, CCols >::Type | bottomRightCorner (Index cRows, Index cCols) |
template<int CRows, int CCols> | |
const ConstFixedBlockXpr< CRows, CCols >::Type | bottomRightCorner (Index cRows, Index cCols) const |
This is the const version of bottomRightCorner<int, int>(Index, Index). | |
template<typename NRowsType, typename NColsType> | |
FixedBlockXpr<...,... >::Type | bottomRightCorner (NRowsType cRows, NColsType cCols) |
template<typename NRowsType, typename NColsType> | |
const ConstFixedBlockXpr<...,... >::Type | bottomRightCorner (NRowsType cRows, NColsType cCols) const |
This is the const version of bottomRightCorner(NRowsType, NColsType). | |
template<int N> | |
NRowsBlockXpr< N >::Type | bottomRows (Index n=N) |
template<int N> | |
ConstNRowsBlockXpr< N >::Type | bottomRows (Index n=N) const |
This is the const version of bottomRows<int>(). | |
template<typename NRowsType> | |
NRowsBlockXpr<... >::Type | bottomRows (NRowsType n) |
template<typename NRowsType> | |
const ConstNRowsBlockXpr<... >::Type | bottomRows (NRowsType n) const |
This is the const version of bottomRows(NRowsType). | |
template<typename NewType> | |
CastXpr< NewType >::Type | cast () const |
const_iterator | cbegin () const |
const_iterator | cend () const |
ColXpr | col (Index i) |
ConstColXpr | col (Index i) const |
This is the const version of col(). | |
ColwiseReturnType | colwise () |
ConstColwiseReturnType | colwise () const |
ConjugateReturnType | conjugate () const |
template<bool Cond> | |
internal::conditional< Cond, ConjugateReturnType, constDerived & >::type | conjugateIf () const |
Index | count () const |
iterator | end () |
const_iterator | end () const |
EvalReturnType | eval () const |
void | fill (const Scalar &value) |
template<unsigned int Added, unsigned int Removed> | |
EIGEN_DEPRECATED const Derived & | flagged () const |
const WithFormat< Derived > | format (const IOFormat &fmt) const |
bool | hasNaN () const |
template<int N> | |
FixedSegmentReturnType< N >::Type | head (Index n=N) |
template<int N> | |
ConstFixedSegmentReturnType< N >::Type | head (Index n=N) const |
This is the const version of head<int>(). | |
template<typename NType> | |
FixedSegmentReturnType<... >::Type | head (NType n) |
template<typename NType> | |
const ConstFixedSegmentReturnType<... >::Type | head (NType n) const |
This is the const version of head(NType). | |
NonConstImagReturnType | imag () |
const ImagReturnType | imag () const |
EIGEN_CONSTEXPR Index | innerSize () const |
InnerVectorReturnType | innerVector (Index outer) |
const ConstInnerVectorReturnType | innerVector (Index outer) const |
InnerVectorsReturnType | innerVectors (Index outerStart, Index outerSize) |
const ConstInnerVectorsReturnType | innerVectors (Index outerStart, Index outerSize) const |
template<typename OtherDerived> | |
bool | isApprox (const DenseBase< OtherDerived > &other, const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const |
bool | isApproxToConstant (const Scalar &value, const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const |
bool | isConstant (const Scalar &value, const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const |
template<typename OtherDerived> | |
bool | isMuchSmallerThan (const DenseBase< OtherDerived > &other, const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const |
template<typename Derived> | |
bool | isMuchSmallerThan (const typename NumTraits< Scalar >::Real &other, const RealScalar &prec) const |
bool | isOnes (const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const |
bool | isZero (const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const |
template<typename OtherDerived> | |
EIGEN_DEPRECATED Derived & | lazyAssign (const DenseBase< OtherDerived > &other) |
template<int N> | |
NColsBlockXpr< N >::Type | leftCols (Index n=N) |
template<int N> | |
ConstNColsBlockXpr< N >::Type | leftCols (Index n=N) const |
This is the const version of leftCols<int>(). | |
template<typename NColsType> | |
NColsBlockXpr<... >::Type | leftCols (NColsType n) |
template<typename NColsType> | |
const ConstNColsBlockXpr<... >::Type | leftCols (NColsType n) const |
This is the const version of leftCols(NColsType). | |
template<int NaNPropagation> | |
internal::traits< Derived >::Scalar | maxCoeff () const |
template<int NaNPropagation, typename IndexType> | |
internal::traits< Derived >::Scalar | maxCoeff (IndexType *index) const |
template<int NaNPropagation, typename IndexType> | |
internal::traits< Derived >::Scalar | maxCoeff (IndexType *row, IndexType *col) const |
Scalar | mean () const |
template<int N> | |
NColsBlockXpr< N >::Type | middleCols (Index startCol, Index n=N) |
template<int N> | |
ConstNColsBlockXpr< N >::Type | middleCols (Index startCol, Index n=N) const |
This is the const version of middleCols<int>(). | |
template<typename NColsType> | |
NColsBlockXpr<... >::Type | middleCols (Index startCol, NColsType numCols) |
template<typename NColsType> | |
const ConstNColsBlockXpr<... >::Type | middleCols (Index startCol, NColsType numCols) const |
This is the const version of middleCols(Index,NColsType). | |
template<int N> | |
NRowsBlockXpr< N >::Type | middleRows (Index startRow, Index n=N) |
template<int N> | |
ConstNRowsBlockXpr< N >::Type | middleRows (Index startRow, Index n=N) const |
This is the const version of middleRows<int>(). | |
template<typename NRowsType> | |
NRowsBlockXpr<... >::Type | middleRows (Index startRow, NRowsType n) |
template<typename NRowsType> | |
const ConstNRowsBlockXpr<... >::Type | middleRows (Index startRow, NRowsType n) const |
This is the const version of middleRows(Index,NRowsType). | |
template<int NaNPropagation> | |
internal::traits< Derived >::Scalar | minCoeff () const |
template<int NaNPropagation, typename IndexType> | |
internal::traits< Derived >::Scalar | minCoeff (IndexType *index) const |
template<int NaNPropagation, typename IndexType> | |
internal::traits< Derived >::Scalar | minCoeff (IndexType *row, IndexType *col) const |
const NestByValue< Derived > | nestByValue () const |
EIGEN_CONSTEXPR Index | nonZeros () const |
template<typename Indices> | |
IndexedView_or_VectorBlock | operator() (const Indices &indices) |
template<typename RowIndices, typename ColIndices> | |
IndexedView_or_Block | operator() (const RowIndices &rowIndices, const ColIndices &colIndices) |
const NegativeReturnType | operator- () const |
template<typename OtherDerived> | |
CommaInitializer< Derived > | operator<< (const DenseBase< OtherDerived > &other) |
CommaInitializer< Derived > | operator<< (const Scalar &s) |
Derived & | operator= (const DenseBase &other) |
template<typename OtherDerived> | |
Derived & | operator= (const DenseBase< OtherDerived > &other) |
template<typename OtherDerived> | |
Derived & | operator= (const EigenBase< OtherDerived > &other) |
Copies the generic expression other into *this. | |
EIGEN_CONSTEXPR Index | outerSize () const |
Scalar | prod () const |
NonConstRealReturnType | real () |
RealReturnType | real () const |
template<typename Func> | |
internal::traits< Derived >::Scalar | redux (const Func &func) const |
template<int RowFactor, int ColFactor> | |
const Replicate< Derived, RowFactor, ColFactor > | replicate () const |
const Replicate< Derived, Dynamic, Dynamic > | replicate (Index rowFactor, Index colFactor) const |
template<int Order = ColMajor> | |
Reshaped< Derived,... > | reshaped () |
template<int Order = ColMajor> | |
const Reshaped< const Derived,... > | reshaped () const |
This is the const version of reshaped(). | |
template<int Order = ColMajor, typename NRowsType, typename NColsType> | |
Reshaped< Derived,... > | reshaped (NRowsType nRows, NColsType nCols) |
template<int Order = ColMajor, typename NRowsType, typename NColsType> | |
const Reshaped< const Derived,... > | reshaped (NRowsType nRows, NColsType nCols) const |
This is the const version of reshaped(NRowsType,NColsType). | |
void | resize (Index newSize) |
void | resize (Index rows, Index cols) |
ReverseReturnType | reverse () |
ConstReverseReturnType | reverse () const |
void | reverseInPlace () |
template<int N> | |
NColsBlockXpr< N >::Type | rightCols (Index n=N) |
template<int N> | |
ConstNColsBlockXpr< N >::Type | rightCols (Index n=N) const |
This is the const version of rightCols<int>(). | |
template<typename NColsType> | |
NColsBlockXpr<... >::Type | rightCols (NColsType n) |
template<typename NColsType> | |
const ConstNColsBlockXpr<... >::Type | rightCols (NColsType n) const |
This is the const version of rightCols(NColsType). | |
RowXpr | row (Index i) |
ConstRowXpr | row (Index i) const |
This is the const version of row(). */. | |
RowwiseReturnType | rowwise () |
ConstRowwiseReturnType | rowwise () const |
template<int N> | |
FixedSegmentReturnType< N >::Type | segment (Index start, Index n=N) |
template<int N> | |
ConstFixedSegmentReturnType< N >::Type | segment (Index start, Index n=N) const |
This is the const version of segment<int>(Index). | |
template<typename NType> | |
FixedSegmentReturnType<... >::Type | segment (Index start, NType n) |
template<typename NType> | |
const ConstFixedSegmentReturnType<... >::Type | segment (Index start, NType n) const |
This is the const version of segment(Index,NType). | |
template<typename ThenDerived, typename ElseDerived> | |
const Select< Derived, ThenDerived, ElseDerived > | select (const DenseBase< ThenDerived > &thenMatrix, const DenseBase< ElseDerived > &elseMatrix) const |
template<typename ThenDerived> | |
const Select< Derived, ThenDerived, typename ThenDerived::ConstantReturnType > | select (const DenseBase< ThenDerived > &thenMatrix, const typename ThenDerived::Scalar &elseScalar) const |
template<typename ElseDerived> | |
const Select< Derived, typename ElseDerived::ConstantReturnType, ElseDerived > | select (const typename ElseDerived::Scalar &thenScalar, const DenseBase< ElseDerived > &elseMatrix) const |
Derived & | setConstant (const Scalar &value) |
Derived & | setLinSpaced (const Scalar &low, const Scalar &high) |
Sets a linearly spaced vector. | |
Derived & | setLinSpaced (Index size, const Scalar &low, const Scalar &high) |
Sets a linearly spaced vector. | |
Derived & | setOnes () |
Derived & | setRandom () |
Derived & | setZero () |
template<DirectionType Direction> | |
internal::conditional< Direction==Vertical, ColXpr, RowXpr >::type | subVector (Index i) |
template<DirectionType Direction> | |
internal::conditional< Direction==Vertical, ConstColXpr, ConstRowXpr >::type | subVector (Index i) const |
template<DirectionType Direction> | |
EIGEN_CONSTEXPR Index | subVectors () const |
Scalar | sum () const |
template<typename OtherDerived> | |
void | swap (const DenseBase< OtherDerived > &other) |
template<typename OtherDerived> | |
void | swap (PlainObjectBase< OtherDerived > &other) |
template<int N> | |
FixedSegmentReturnType< N >::Type | tail (Index n=N) |
template<int N> | |
ConstFixedSegmentReturnType< N >::Type | tail (Index n=N) const |
This is the const version of tail<int>. | |
template<typename NType> | |
FixedSegmentReturnType<... >::Type | tail (NType n) |
template<typename NType> | |
const ConstFixedSegmentReturnType<... >::Type | tail (NType n) const |
This is the const version of tail(Index). | |
template<int CRows, int CCols> | |
FixedBlockXpr< CRows, CCols >::Type | topLeftCorner () |
template<int CRows, int CCols> | |
const ConstFixedBlockXpr< CRows, CCols >::Type | topLeftCorner () const |
This is the const version of topLeftCorner<int, int>(). | |
template<int CRows, int CCols> | |
FixedBlockXpr< CRows, CCols >::Type | topLeftCorner (Index cRows, Index cCols) |
template<int CRows, int CCols> | |
const ConstFixedBlockXpr< CRows, CCols >::Type | topLeftCorner (Index cRows, Index cCols) const |
This is the const version of topLeftCorner<int, int>(Index, Index). | |
template<typename NRowsType, typename NColsType> | |
FixedBlockXpr<...,... >::Type | topLeftCorner (NRowsType cRows, NColsType cCols) |
template<typename NRowsType, typename NColsType> | |
const ConstFixedBlockXpr<...,... >::Type | topLeftCorner (NRowsType cRows, NColsType cCols) const |
This is the const version of topLeftCorner(Index, Index). | |
template<int CRows, int CCols> | |
FixedBlockXpr< CRows, CCols >::Type | topRightCorner () |
template<int CRows, int CCols> | |
const ConstFixedBlockXpr< CRows, CCols >::Type | topRightCorner () const |
This is the const version of topRightCorner<int, int>(). | |
template<int CRows, int CCols> | |
FixedBlockXpr< CRows, CCols >::Type | topRightCorner (Index cRows, Index cCols) |
template<int CRows, int CCols> | |
const ConstFixedBlockXpr< CRows, CCols >::Type | topRightCorner (Index cRows, Index cCols) const |
This is the const version of topRightCorner<int, int>(Index, Index). | |
template<typename NRowsType, typename NColsType> | |
FixedBlockXpr<...,... >::Type | topRightCorner (NRowsType cRows, NColsType cCols) |
template<typename NRowsType, typename NColsType> | |
const ConstFixedBlockXpr<...,... >::Type | topRightCorner (NRowsType cRows, NColsType cCols) const |
This is the const version of topRightCorner(NRowsType, NColsType). | |
template<int N> | |
NRowsBlockXpr< N >::Type | topRows (Index n=N) |
template<int N> | |
ConstNRowsBlockXpr< N >::Type | topRows (Index n=N) const |
This is the const version of topRows<int>(). | |
template<typename NRowsType> | |
NRowsBlockXpr<... >::Type | topRows (NRowsType n) |
template<typename NRowsType> | |
const ConstNRowsBlockXpr<... >::Type | topRows (NRowsType n) const |
This is the const version of topRows(NRowsType). | |
TransposeReturnType | transpose () |
ConstTransposeReturnType | transpose () const |
void | transposeInPlace () |
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 |
CoeffReturnType | value () const |
template<typename Visitor> | |
void | visit (Visitor &func) const |
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EIGEN_CONSTEXPR Index | cols () const EIGEN_NOEXCEPT |
EIGEN_CONSTEXPR Index | colStride () const EIGEN_NOEXCEPT |
Derived & | derived () |
const Derived & | derived () const |
EIGEN_CONSTEXPR Index | innerStride () const EIGEN_NOEXCEPT |
EIGEN_CONSTEXPR Index | outerStride () const EIGEN_NOEXCEPT |
EIGEN_CONSTEXPR Index | rows () const EIGEN_NOEXCEPT |
EIGEN_CONSTEXPR Index | rowStride () const EIGEN_NOEXCEPT |
EIGEN_CONSTEXPR Index | size () const EIGEN_NOEXCEPT |
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CoeffReturnType | coeff (Index index) const |
CoeffReturnType | coeff (Index row, Index col) const |
Scalar & | coeffRef (Index index) |
Scalar & | coeffRef (Index row, Index col) |
EIGEN_CONSTEXPR Index | cols () const EIGEN_NOEXCEPT |
Derived & | derived () |
const Derived & | derived () const |
Scalar & | operator() (Index index) |
CoeffReturnType | operator() (Index index) const |
Scalar & | operator() (Index row, Index col) |
CoeffReturnType | operator() (Index row, Index col) const |
Scalar & | operator[] (Index index) |
CoeffReturnType | operator[] (Index index) const |
EIGEN_CONSTEXPR Index | rows () const EIGEN_NOEXCEPT |
EIGEN_CONSTEXPR Index | size () const EIGEN_NOEXCEPT |
Scalar & | w () |
CoeffReturnType | w () const |
Scalar & | x () |
CoeffReturnType | x () const |
Scalar & | y () |
CoeffReturnType | y () const |
Scalar & | z () |
CoeffReturnType | z () const |
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CoeffReturnType | coeff (Index index) const |
CoeffReturnType | coeff (Index row, Index col) const |
EIGEN_CONSTEXPR Index | cols () const EIGEN_NOEXCEPT |
Derived & | derived () |
const Derived & | derived () const |
CoeffReturnType | operator() (Index index) const |
CoeffReturnType | operator() (Index row, Index col) const |
CoeffReturnType | operator[] (Index index) const |
EIGEN_CONSTEXPR Index | rows () const EIGEN_NOEXCEPT |
EIGEN_CONSTEXPR Index | size () const EIGEN_NOEXCEPT |
CoeffReturnType | w () const |
CoeffReturnType | x () const |
CoeffReturnType | y () const |
CoeffReturnType | z () const |
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EIGEN_CONSTEXPR Index | cols () const EIGEN_NOEXCEPT |
Derived & | derived () |
const Derived & | derived () const |
EIGEN_CONSTEXPR Index | rows () const EIGEN_NOEXCEPT |
EIGEN_CONSTEXPR Index | size () const EIGEN_NOEXCEPT |
Additional Inherited Members | |
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static const IdentityReturnType | Identity () |
static const IdentityReturnType | Identity (Index rows, Index cols) |
static const BasisReturnType | Unit (Index i) |
static const BasisReturnType | Unit (Index size, Index i) |
static const BasisReturnType | UnitW () |
static const BasisReturnType | UnitX () |
static const BasisReturnType | UnitY () |
static const BasisReturnType | UnitZ () |
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static const ConstantReturnType | Constant (const Scalar &value) |
static const ConstantReturnType | Constant (Index rows, Index cols, const Scalar &value) |
static const ConstantReturnType | Constant (Index size, const Scalar &value) |
static const RandomAccessLinSpacedReturnType | LinSpaced (const Scalar &low, const Scalar &high) |
Sets a linearly spaced vector. | |
static const RandomAccessLinSpacedReturnType | LinSpaced (Index size, const Scalar &low, const Scalar &high) |
Sets a linearly spaced vector. | |
static EIGEN_DEPRECATED const RandomAccessLinSpacedReturnType | LinSpaced (Sequential_t, const Scalar &low, const Scalar &high) |
static EIGEN_DEPRECATED const RandomAccessLinSpacedReturnType | LinSpaced (Sequential_t, Index size, const Scalar &low, const Scalar &high) |
template<typename CustomNullaryOp> | |
static const CwiseNullaryOp< CustomNullaryOp, PlainObject > | NullaryExpr (const CustomNullaryOp &func) |
template<typename CustomNullaryOp> | |
static const CwiseNullaryOp< CustomNullaryOp, PlainObject > | NullaryExpr (Index rows, Index cols, const CustomNullaryOp &func) |
template<typename CustomNullaryOp> | |
static const CwiseNullaryOp< CustomNullaryOp, PlainObject > | NullaryExpr (Index size, const CustomNullaryOp &func) |
static const ConstantReturnType | Ones () |
static const ConstantReturnType | Ones (Index rows, Index cols) |
static const ConstantReturnType | Ones (Index size) |
static const RandomReturnType | Random () |
static const RandomReturnType | Random (Index rows, Index cols) |
static const RandomReturnType | Random (Index size) |
static const ConstantReturnType | Zero () |
static const ConstantReturnType | Zero (Index rows, Index cols) |
static const ConstantReturnType | Zero (Index size) |
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PlainObjectBase (const DenseBase< OtherDerived > &other) | |
PlainObjectBase (const EigenBase< OtherDerived > &other) | |
PlainObjectBase (const PlainObjectBase &other) | |
PlainObjectBase (const ReturnByValue< OtherDerived > &other) | |
Copy constructor with in-place evaluation. | |
PlainObjectBase (const Scalar &a0, const Scalar &a1, const Scalar &a2, const Scalar &a3, const ArgTypes &... args) | |
Construct a row of column vector with fixed size from an arbitrary number of coefficients. [c++11] | |
PlainObjectBase (const std::initializer_list< std::initializer_list< Scalar > > &list) | |
Constructs a Matrix or Array and initializes it by elements given by an initializer list of initializer lists [c++11] | |
Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > & | _set (const DenseBase< OtherDerived > &other) |
Copies the value of the expression other into *this with automatic resizing. | |
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DenseBase () | |
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template<typename Derived> | |
std::ostream & | operator<< (std::ostream &s, const DenseBase< Derived > &m) |
typedef PlainObjectBase<Matrix> Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::Base |
Base class typedef.
|
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.
|
inline |
Example:
Output:
1 2 3 4 5 6 1 2 3
|
inlineexplicit |
Constructs a Matrix and initializes it from the coefficients given as initializer-lists grouped by row. [c++11]
In the general case, the constructor takes a list of rows, each row being represented as a list of coefficients:
Example:
Output:
1 2 3 4 5 6
Each of the inner initializer lists must contain the exact same number of elements, otherwise an assertion is triggered.
In the case of a compile-time column vector, implicit transposition from a single row is allowed. Therefore VectorXd{{1,2,3,4,5}}
is legal and the more verbose syntax RowVectorXd{{1},{2},{3},{4},{5}}
can be avoided:
Example:
Output:
1 2
In the case of fixed-sized matrices, the initializer list sizes must exactly match the matrix sizes, and implicit transposition is allowed for compile-time vectors only.
|
inlineexplicit |
Constructs a vector or row-vector with given dimension. This is only for vectors (either row-vectors or column-vectors), i.e. matrices which are known at compile-time to have either one row or one column.
This is useful for dynamic-size vectors. For fixed-size vectors, it is redundant to pass these parameters, so one should use the default constructor Matrix() instead.
1x1
matrices. For instance, calling Matrix<double,1,1>(1) will call the initialization constructor: Matrix(const Scalar&). For fixed-size 1x1
matrices it is therefore recommended to use the default constructor Matrix() instead, especially when using one of the non standard EIGEN_INITIALIZE_MATRICES_BY_{ZERO
,NAN}
macros (see Preprocessor directives). Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::Matrix | ( | const Scalar & | x | ) |
Constructs an initialized 1x1 matrix with the given coefficient.
Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::Matrix | ( | Index | rows, |
Index | cols ) |
Constructs an uninitialized matrix with rows rows and cols columns.
This is useful for dynamic-size matrices. For fixed-size matrices, it is redundant to pass these parameters, so one should use the default constructor Matrix() instead.
1x2
and 2x1
vectors. For instance, calling Matrix2f(2,1) will call the initialization constructor: Matrix(const Scalar& x, const Scalar& y). For fixed-size 1x2
or 2x1
vectors it is therefore recommended to use the default constructor Matrix() instead, especially when using one of the non standard EIGEN_INITIALIZE_MATRICES_BY_{ZERO
,NAN}
macros (see Preprocessor directives). Eigen::Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >::Matrix | ( | const Scalar & | x, |
const Scalar & | y ) |
Constructs an initialized 2D vector with given coefficients.
|
inline |
Constructs an initialized 3D vector with given coefficients.
|
inline |
Constructs an initialized 4D vector with given coefficients.
|
inline |
Copy constructor for generic expressions.
|
explicit |
Constructs a Dim x Dim rotation matrix from the rotation r.
This is defined in the Geometry module.
|
inline |
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.
See DenseCoeffsBase<Derived,WriteAccessors>::coeffRef(Index) const for details.
|
inline |
This is the const version of coeffRef(Index) which is thus synonym of coeff(Index). It is provided for convenience.
|
inline |
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.
See DenseCoeffsBase<Derived,WriteAccessors>::coeffRef(Index,Index) const for details.
|
inline |
This is the const version of coeffRef(Index,Index) which is thus synonym of coeff(Index,Index). It is provided for convenience.
|
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
|
inline |
Assigns matrices to each other.
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.
This is defined in the Geometry module.