a sparse vector class More...
#include <SparseVector.h>
Public Types | |
enum | |
enum | { IsColVector } |
enum | { Options } |
typedef internal::conditional < NumTraits< Scalar > ::IsComplex, CwiseUnaryOp < internal::scalar_conjugate_op < Scalar >, Eigen::Transpose < const SparseVector< _Scalar, _Options, _Index > > >, Transpose< const SparseVector< _Scalar, _Options, _Index > > >::type | AdjointReturnType |
typedef EigenBase < SparseVector< _Scalar, _Options, _Index > > | Base |
typedef internal::traits < SparseVector< _Scalar, _Options, _Index > >::Index | Index |
typedef internal::add_const_on_value_type_if_arithmetic < typename internal::packet_traits < Scalar >::type >::type | PacketReturnType |
typedef internal::packet_traits < Scalar >::type | PacketScalar |
typedef SparseMatrix< Scalar, Flags &RowMajorBit?RowMajor:ColMajor > | PlainObject |
typedef internal::traits < SparseVector< _Scalar, _Options, _Index > >::Scalar | Scalar |
typedef SparseMatrixBase < SparseVector > | SparseBase |
typedef SparseMatrixBase | StorageBaseType |
typedef internal::traits < SparseVector< _Scalar, _Options, _Index > >::StorageKind | StorageKind |
Public Member Functions | |
internal::CompressedStorage < Scalar, Index > & | _data () |
internal::CompressedStorage < Scalar, Index > & | _data () const |
void | addTo (Dest &dst) const |
const AdjointReturnType | adjoint () const |
void | applyThisOnTheLeft (Dest &dst) const |
void | applyThisOnTheRight (Dest &dst) const |
const CwiseBinaryOp < CustomBinaryOp, const SparseVector< _Scalar, _Options, _Index >, const OtherDerived > | binaryExpr (const Eigen::SparseMatrixBase< OtherDerived > &other, const CustomBinaryOp &func=CustomBinaryOp()) const |
internal::cast_return_type < SparseVector< _Scalar, _Options, _Index >, const CwiseUnaryOp < internal::scalar_cast_op < typename internal::traits < SparseVector< _Scalar, _Options, _Index > >::Scalar, NewType >, const SparseVector < _Scalar, _Options, _Index > > >::type | cast () const |
Scalar | coeff (Index row, Index col) const |
Scalar | coeff (Index i) const |
Scalar & | coeffRef (Index row, Index col) |
Scalar & | coeffRef (Index i) |
SparseInnerVectorSet < SparseVector< _Scalar, _Options, _Index >, 1 > | col (Index j) |
const SparseInnerVectorSet < SparseVector< _Scalar, _Options, _Index >, 1 > | col (Index j) const |
Index | cols () const |
ConjugateReturnType | conjugate () const |
SparseVector< _Scalar, _Options, _Index > & | const_cast_derived () const |
const SparseVector< _Scalar, _Options, _Index > & | const_derived () const |
const CwiseUnaryOp < internal::scalar_abs_op < Scalar >, const SparseVector < _Scalar, _Options, _Index > > | cwiseAbs () const |
const CwiseUnaryOp < internal::scalar_abs2_op < Scalar >, const SparseVector < _Scalar, _Options, _Index > > | cwiseAbs2 () const |
const CwiseBinaryOp < std::equal_to< Scalar > , const SparseVector< _Scalar, _Options, _Index >, const OtherDerived > | cwiseEqual (const Eigen::SparseMatrixBase< OtherDerived > &other) const |
const CwiseUnaryOp < std::binder1st < std::equal_to< Scalar > >, const SparseVector < _Scalar, _Options, _Index > > | cwiseEqual (const Scalar &s) const |
const CwiseUnaryOp < internal::scalar_inverse_op < Scalar >, const SparseVector < _Scalar, _Options, _Index > > | cwiseInverse () const |
const CwiseBinaryOp < internal::scalar_max_op < Scalar >, const SparseVector < _Scalar, _Options, _Index > , const OtherDerived > | cwiseMax (const Eigen::SparseMatrixBase< OtherDerived > &other) const |
const CwiseBinaryOp < internal::scalar_max_op < Scalar >, const SparseVector < _Scalar, _Options, _Index > , const ConstantReturnType > | cwiseMax (const Scalar &other) const |
const CwiseBinaryOp < internal::scalar_min_op < Scalar >, const SparseVector < _Scalar, _Options, _Index > , const OtherDerived > | cwiseMin (const Eigen::SparseMatrixBase< OtherDerived > &other) const |
const CwiseBinaryOp < internal::scalar_min_op < Scalar >, const SparseVector < _Scalar, _Options, _Index > , const ConstantReturnType > | cwiseMin (const Scalar &other) const |
const CwiseBinaryOp < std::not_equal_to< Scalar > , const SparseVector< _Scalar, _Options, _Index >, const OtherDerived > | cwiseNotEqual (const Eigen::SparseMatrixBase< OtherDerived > &other) const |
const EIGEN_SPARSE_CWISE_PRODUCT_RETURN_TYPE | cwiseProduct (const MatrixBase< OtherDerived > &other) const |
const CwiseBinaryOp < internal::scalar_quotient_op < Scalar >, const SparseVector < _Scalar, _Options, _Index > , const OtherDerived > | cwiseQuotient (const Eigen::SparseMatrixBase< OtherDerived > &other) const |
const CwiseUnaryOp < internal::scalar_sqrt_op < Scalar >, const SparseVector < _Scalar, _Options, _Index > > | cwiseSqrt () const |
SparseVector< _Scalar, _Options, _Index > & | derived () |
const SparseVector< _Scalar, _Options, _Index > & | derived () const |
Scalar | dot (const MatrixBase< OtherDerived > &other) const |
Scalar | dot (const SparseMatrixBase< OtherDerived > &other) const |
const | EIGEN_CWISE_PRODUCT_RETURN_TYPE (SparseVector< _Scalar, _Options, _Index >, OtherDerived) cwiseProduct(const Eigen |
EIGEN_DEPRECATED void | endFill () |
const internal::eval < SparseVector< _Scalar, _Options, _Index > >::type | eval () const |
void | evalTo (Dest &dst) const |
void | evalTo (MatrixBase< DenseDerived > &dst) const |
EIGEN_DEPRECATED Scalar & | fill (Index r, Index c) |
EIGEN_DEPRECATED Scalar & | fill (Index i) |
EIGEN_DEPRECATED Scalar & | fillrand (Index r, Index c) |
EIGEN_DEPRECATED Scalar & | fillrand (Index i) |
void | finalize () |
const ImagReturnType | imag () const |
NonConstImagReturnType | imag () |
const Index * | innerIndexPtr () const |
Index * | innerIndexPtr () |
Index | innerSize () const |
SparseInnerVectorSet < SparseVector< _Scalar, _Options, _Index >, 1 > | innerVector (Index outer) |
const SparseInnerVectorSet < SparseVector< _Scalar, _Options, _Index >, 1 > | innerVector (Index outer) const |
SparseInnerVectorSet < SparseVector< _Scalar, _Options, _Index >, Dynamic > | innerVectors (Index outerStart, Index outerSize) |
const SparseInnerVectorSet < SparseVector< _Scalar, _Options, _Index >, Dynamic > | innerVectors (Index outerStart, Index outerSize) const |
Scalar & | insert (Index row, Index col) |
Scalar & | insert (Index i) |
Scalar & | insertBack (Index i) |
Scalar & | insertBackByOuterInner (Index outer, Index inner) |
bool | isApprox (const SparseMatrixBase< OtherDerived > &other, RealScalar prec=NumTraits< Scalar >::dummy_precision()) const |
bool | isApprox (const MatrixBase< OtherDerived > &other, RealScalar prec=NumTraits< Scalar >::dummy_precision()) const |
bool | isRValue () const |
bool | isVector () const |
SparseVector< _Scalar, _Options, _Index > & | markAsRValue () |
SparseInnerVectorSet < SparseVector< _Scalar, _Options, _Index >, Dynamic > | middleCols (Index start, Index size) |
const SparseInnerVectorSet < SparseVector< _Scalar, _Options, _Index >, Dynamic > | middleCols (Index start, Index size) const |
SparseInnerVectorSet < SparseVector< _Scalar, _Options, _Index >, Dynamic > | middleRows (Index start, Index size) |
const SparseInnerVectorSet < SparseVector< _Scalar, _Options, _Index >, Dynamic > | middleRows (Index start, Index size) const |
Index | nonZeros () const |
RealScalar | norm () const |
const ScalarMultipleReturnType | operator* (const Scalar &scalar) const |
const ScalarMultipleReturnType | operator* (const RealScalar &scalar) const |
const CwiseUnaryOp < internal::scalar_multiple2_op < Scalar, std::complex< Scalar > >, const SparseVector < _Scalar, _Options, _Index > > | operator* (const std::complex< Scalar > &scalar) const |
const SparseSparseProductReturnType < SparseVector< _Scalar, _Options, _Index > , OtherDerived >::Type | operator* (const SparseMatrixBase< OtherDerived > &other) const |
const SparseDiagonalProduct < SparseVector< _Scalar, _Options, _Index > , OtherDerived > | operator* (const DiagonalBase< OtherDerived > &other) const |
const SparseDenseProductReturnType < SparseVector< _Scalar, _Options, _Index > , OtherDerived >::Type | operator* (const MatrixBase< OtherDerived > &other) const |
SparseVector< _Scalar, _Options, _Index > & | operator*= (const Scalar &other) |
SparseVector< _Scalar, _Options, _Index > & | operator*= (const SparseMatrixBase< OtherDerived > &other) |
SparseVector< _Scalar, _Options, _Index > & | operator+= (const SparseMatrixBase< OtherDerived > &other) |
const CwiseUnaryOp < internal::scalar_opposite_op < typename internal::traits < SparseVector< _Scalar, _Options, _Index > >::Scalar > , const SparseVector< _Scalar, _Options, _Index > > | operator- () const |
SparseVector< _Scalar, _Options, _Index > & | operator-= (const SparseMatrixBase< OtherDerived > &other) |
const CwiseUnaryOp < internal::scalar_quotient1_op < typename internal::traits < SparseVector< _Scalar, _Options, _Index > >::Scalar > , const SparseVector< _Scalar, _Options, _Index > > | operator/ (const Scalar &scalar) const |
SparseVector< _Scalar, _Options, _Index > & | operator/= (const Scalar &other) |
SparseVector & | operator= (const SparseVector &other) |
template<typename OtherDerived > | |
SparseVector & | operator= (const SparseMatrixBase< OtherDerived > &other) |
Index | outerSize () const |
void | prune (Scalar reference, RealScalar epsilon=NumTraits< RealScalar >::dummy_precision()) |
RealReturnType | real () const |
NonConstRealReturnType | real () |
void | reserve (Index reserveSize) |
void | resize (Index rows, Index cols) |
void | resize (Index newSize) |
void | resizeNonZeros (Index size) |
SparseInnerVectorSet < SparseVector< _Scalar, _Options, _Index >, 1 > | row (Index i) |
const SparseInnerVectorSet < SparseVector< _Scalar, _Options, _Index >, 1 > | row (Index i) const |
Index | rows () const |
const SparseSelfAdjointView < SparseVector< _Scalar, _Options, _Index >, UpLo > | selfadjointView () const |
SparseSelfAdjointView < SparseVector< _Scalar, _Options, _Index >, UpLo > | selfadjointView () |
void | setZero () |
Index | size () const |
SparseVector () | |
SparseVector (Index size) | |
SparseVector (Index rows, Index cols) | |
template<typename OtherDerived > | |
SparseVector (const SparseMatrixBase< OtherDerived > &other) | |
SparseVector (const SparseVector &other) | |
RealScalar | squaredNorm () const |
EIGEN_DEPRECATED void | startFill (Index reserve) |
void | startVec (Index outer) |
SparseInnerVectorSet < SparseVector< _Scalar, _Options, _Index >, Dynamic > | subcols (Index start, Index size) |
const SparseInnerVectorSet < SparseVector< _Scalar, _Options, _Index >, Dynamic > | subcols (Index start, Index size) const |
SparseInnerVectorSet < SparseVector< _Scalar, _Options, _Index >, Dynamic > | subrows (Index start, Index size) |
const SparseInnerVectorSet < SparseVector< _Scalar, _Options, _Index >, Dynamic > | subrows (Index start, Index size) const |
void | subTo (Dest &dst) const |
Scalar | sum () const |
void | swap (SparseVector &other) |
Matrix< Scalar, RowsAtCompileTime, ColsAtCompileTime > | toDense () const |
Transpose< SparseVector < _Scalar, _Options, _Index > > | transpose () |
const Transpose< const SparseVector< _Scalar, _Options, _Index > > | transpose () const |
const SparseTriangularView < SparseVector< _Scalar, _Options, _Index >, Mode > | triangularView () const |
SparseSymmetricPermutationProduct < SparseVector< _Scalar, _Options, _Index >, Upper|Lower > | twistedBy (const PermutationMatrix< Dynamic, Dynamic, Index > &perm) const |
const CwiseUnaryOp < CustomUnaryOp, const SparseVector< _Scalar, _Options, _Index > > | unaryExpr (const CustomUnaryOp &func=CustomUnaryOp()) const |
Apply a unary operator coefficient-wise. | |
const CwiseUnaryView < CustomViewOp, const SparseVector< _Scalar, _Options, _Index > > | unaryViewExpr (const CustomViewOp &func=CustomViewOp()) const |
const Scalar * | valuePtr () const |
Scalar * | valuePtr () |
~SparseVector () |
Public Attributes | |
internal::CompressedStorage < Scalar, Index > | m_data |
Index | m_size |
Protected Member Functions | |
SparseVector< _Scalar, _Options, _Index > & | assign (const OtherDerived &other) |
template<typename OtherDerived > | |
EIGEN_DONT_INLINE SparseVector & | assign (const SparseMatrixBase< OtherDerived > &_other) |
void | assignGeneric (const OtherDerived &other) |
Protected Attributes | |
bool | m_isRValue |
Friends | |
std::ostream & | operator<< (std::ostream &s, const SparseVector &m) |
a sparse vector class
_Scalar | the scalar type, i.e. the type of the coefficients |
See http://www.netlib.org/linalg/html_templates/node91.html for details on the storage scheme.
This class can be extended with the help of the plugin mechanism described on the page Customizing/Extending Eigen by defining the preprocessor symbol EIGEN_SPARSEVECTOR_PLUGIN
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typedef SparseMatrixBase<SparseVector> SparseBase |
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References EigenBase< Derived >::derived().
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References EigenBase< Derived >::derived().
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Destructor
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References EigenBase< Derived >::derived(), SparseMatrixBase< SparseVector< _Scalar, _Options, _Index > >::Flags, SparseVector< _Scalar, _Options, _Index >::insert(), SparseVector< _Scalar, _Options, _Index >::operator=(), SparseVector< _Scalar, _Options, _Index >::reserve(), SparseVector< _Scalar, _Options, _Index >::resize(), Eigen::RowMajorBit, and SparseMatrixBase< SparseVector< _Scalar, _Options, _Index > >::size().
Referenced by SparseVector< _Scalar, _Options, _Index >::operator=().
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*this
and other *this
and other The template parameter CustomBinaryOp is the type of the functor of the custom operator (see class CwiseBinaryOp for an example)
Here is an example illustrating the use of custom functors:
Output:
(0.68,0.271) (0.823,-0.967) (-0.444,-0.687) (-0.27,0.998) (-0.211,0.435) (-0.605,-0.514) (0.108,-0.198) (0.0268,-0.563) (0.566,-0.717) (-0.33,-0.726) (-0.0452,-0.74) (0.904,0.0259) (0.597,0.214) (0.536,0.608) (0.258,-0.782) (0.832,0.678)
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The template parameter NewScalar is the type we are casting the scalars to.
References eigen_assert, and SparseVector< _Scalar, _Options, _Index >::IsColVector.
Referenced by SparseVector< _Scalar, _Options, _Index >::coeffRef().
This insertion might be very costly if the number of nonzeros above i is large.
References SparseVector< _Scalar, _Options, _Index >::m_data.
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*this
. For column-major matrix only. Referenced by SparseVector< _Scalar, _Options, _Index >::insert().
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*this
. For column-major matrix only. (read-only version)
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Reimplemented from SparseMatrixBase< SparseVector< _Scalar, _Options, _Index > >.
References SparseVector< _Scalar, _Options, _Index >::IsColVector, and SparseVector< _Scalar, _Options, _Index >::m_size.
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*this
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*this
Example:
Output:
2 4 6 5 1 0
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*this
Example:
Output:
4 16 36 25 1 0
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Example:
Output:
Comparing m with identity matrix: 1 1 0 1 Number of coefficients that are equal: 3
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*this
and a scalar s
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Example:
Output:
0.5 2 1 0.333 4 1
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Example:
Output:
4 3 4
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Example:
Output:
2 2 3
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Example:
Output:
Comparing m with identity matrix: 0 0 1 0 Number of coefficients that are not equal: 1
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Example:
Output:
0.5 1.5 1.33
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Example:
Output:
1 1.41 2
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Example:
Output:
a: 7 6 -3 -2 9 6 6 -6 -5 b: 1 -3 9 0 0 3 3 9 5 c: 7 -18 -27 0 0 18 18 -54 -25
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Notice that in the case of a plain matrix or vector (not an expression) this function just returns a const reference, in order to avoid a useless copy.
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References eigen_assert, and SparseVector< _Scalar, _Options, _Index >::IsColVector.
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References eigen_assert, and SparseVector< _Scalar, _Options, _Index >::IsColVector.
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*this
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*this
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Reimplemented from SparseMatrixBase< SparseVector< _Scalar, _Options, _Index > >.
References SparseVector< _Scalar, _Options, _Index >::m_size.
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*this
if *this
is col-major (resp. row-major).
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*this
if *this
is col-major (resp. row-major). Read-only.
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*this
if *this
is col-major (resp. row-major).
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*this
if *this
is col-major (resp. row-major). Read-only. References SparseMatrixBase< SparseVector< _Scalar, _Options, _Index > >::col(), eigen_assert, SparseVector< _Scalar, _Options, _Index >::IsColVector, and SparseMatrixBase< SparseVector< _Scalar, _Options, _Index > >::row().
Referenced by SparseVector< _Scalar, _Options, _Index >::assign(), and SparseVector< _Scalar, _Options, _Index >::fillrand().
References SparseVector< _Scalar, _Options, _Index >::m_data, and p.
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*this
. For column-major matrix only.
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*this
. For column-major matrix only. (read-only version)
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*this
. For row-major matrix only.
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*this
. For row-major matrix only. (read-only version)
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Reimplemented from SparseMatrixBase< SparseVector< _Scalar, _Options, _Index > >.
References SparseVector< _Scalar, _Options, _Index >::m_data.
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*this
scaled by the scalar factor scalar
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Overloaded for efficient real matrix times complex scalar value
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ref
is a meaningful non zero reference value.
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sparse * dense (returns a dense object unless it is an outer product)
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*this
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*this
divided by the scalar value scalar
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References EigenBase< Derived >::const_cast_derived(), SparseMatrixBase< Derived >::isRValue(), SparseVector< _Scalar, _Options, _Index >::m_data, SparseVector< _Scalar, _Options, _Index >::resize(), SparseMatrixBase< Derived >::size(), and SparseVector< _Scalar, _Options, _Index >::swap().
Referenced by SparseVector< _Scalar, _Options, _Index >::assign().
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Reimplemented from SparseMatrixBase< SparseVector< _Scalar, _Options, _Index > >.
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*this
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*this
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References SparseVector< _Scalar, _Options, _Index >::m_data.
Referenced by SparseVector< _Scalar, _Options, _Index >::assign().
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*this
. For row-major matrix only. Referenced by SparseVector< _Scalar, _Options, _Index >::insert().
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*this
. For row-major matrix only. (read-only version)
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Reimplemented from SparseMatrixBase< SparseVector< _Scalar, _Options, _Index > >.
References SparseVector< _Scalar, _Options, _Index >::IsColVector, and SparseVector< _Scalar, _Options, _Index >::m_size.
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References SparseVector< _Scalar, _Options, _Index >::m_data.
Referenced by SparseVector< _Scalar, _Options, _Index >::startFill().
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Reimplemented from EigenBase< SparseVector< _Scalar, _Options, _Index > >.
Referenced by SparseVector< _Scalar, _Options, _Index >::assign().
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References eigen_assert, and EIGEN_UNUSED_VARIABLE.
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internal::traits< SparseVector< _Scalar, _Options, _Index > >::Scalar sum | ( | ) | const |
Overloaded for performance
Reimplemented from SparseMatrixBase< SparseVector< _Scalar, _Options, _Index > >.
References eigen_assert, and PlainObjectBase< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > >::Map().
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*this
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Apply a unary operator coefficient-wise.
[in] | func | Functor implementing the unary operator |
CustomUnaryOp | Type of func |
The function ptr_fun()
from the C++ standard library can be used to make functors out of normal functions.
Example:
Output:
0.68 0.823 -0.444 -0.27 -0.211 -0.605 0.108 0.0268 0.566 -0.33 -0.0452 0.904 0.597 0.536 0.258 0.832 becomes: 0.68 0.823 0 0 0 0 0.108 0.0268 0.566 0 0 0.904 0.597 0.536 0.258 0.832
Genuine functors allow for more possibilities, for instance it may contain a state.
Example:
Output:
0.68 0.823 -0.444 -0.27 -0.211 -0.605 0.108 0.0268 0.566 -0.33 -0.0452 0.904 0.597 0.536 0.258 0.832 becomes: 0.5 0.5 -0.444 -0.27 -0.211 -0.5 0.108 0.0268 0.5 -0.33 -0.0452 0.5 0.5 0.5 0.258 0.5
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The template parameter CustomUnaryOp is the type of the functor of the custom unary operator.
Example:
Output:
0.68 0.823 -0.444 -0.27 -0.211 -0.605 0.108 0.0268 0.566 -0.33 -0.0452 0.904 0.597 0.536 0.258 0.832 becomes: 0.5 0.5 -0.444 -0.27 -0.211 -0.5 0.108 0.0268 0.5 -0.33 -0.0452 0.5 0.5 0.5 0.258 0.5
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Referenced by SparseVector< _Scalar, _Options, _Index >::_data(), SparseVector< _Scalar, _Options, _Index >::coeff(), SparseVector< _Scalar, _Options, _Index >::coeffRef(), SparseVector< _Scalar, _Options, _Index >::fill(), SparseVector< _Scalar, _Options, _Index >::innerIndexPtr(), SparseVector< _Scalar, _Options, _Index >::insert(), SparseVector< _Scalar, _Options, _Index >::insertBack(), SparseVector< _Scalar, _Options, _Index >::nonZeros(), SparseVector< _Scalar, _Options, _Index >::operator=(), SparseVector< _Scalar, _Options, _Index >::prune(), SparseVector< _Scalar, _Options, _Index >::reserve(), SparseVector< _Scalar, _Options, _Index >::resize(), SparseVector< _Scalar, _Options, _Index >::resizeNonZeros(), SparseVector< _Scalar, _Options, _Index >::setZero(), SparseVector< _Scalar, _Options, _Index >::startFill(), SparseVector< _Scalar, _Options, _Index >::swap(), and SparseVector< _Scalar, _Options, _Index >::valuePtr().
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Index m_size |