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Eigen
3.4.90 (git rev 67eeba6e720c5745abc77ae6c92ce0a44aa7b7ae)
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Eigen
3.4.90 (git rev 67eeba6e720c5745abc77ae6c92ce0a44aa7b7ae)
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Expression of one (or a set of) homogeneous vector(s)
This is defined in the Geometry module.
| MatrixType | the type of the object in which we are making homogeneous |
This class represents an expression of one (or a set of) homogeneous vector(s). It is the return type of MatrixBase::homogeneous() and most of the time this is the only way it is used.
Inheritance diagram for Eigen::Homogeneous< MatrixType, Direction_ >:Additional Inherited Members | |
| Public Types inherited from Eigen::DenseBase< Homogeneous< MatrixType, Direction_ > > | |
| typedef random_access_iterator_type | const_iterator |
| typedef random_access_iterator_type | iterator |
| typedef Array< typename internal::traits< Homogeneous< MatrixType, Direction_ > >::Scalar, internal::traits< Homogeneous< MatrixType, Direction_ > >::RowsAtCompileTime, internal::traits< Homogeneous< MatrixType, Direction_ > >::ColsAtCompileTime, AutoAlign|(internal::traits< Homogeneous< MatrixType, Direction_ > >::Flags &RowMajorBit ? RowMajor :ColMajor), internal::traits< Homogeneous< MatrixType, Direction_ > >::MaxRowsAtCompileTime, internal::traits< Homogeneous< MatrixType, Direction_ > >::MaxColsAtCompileTime > | PlainArray |
| typedef Matrix< typename internal::traits< Homogeneous< MatrixType, Direction_ > >::Scalar, internal::traits< Homogeneous< MatrixType, Direction_ > >::RowsAtCompileTime, internal::traits< Homogeneous< MatrixType, Direction_ > >::ColsAtCompileTime, AutoAlign|(internal::traits< Homogeneous< MatrixType, Direction_ > >::Flags &RowMajorBit ? RowMajor :ColMajor), internal::traits< Homogeneous< MatrixType, Direction_ > >::MaxRowsAtCompileTime, internal::traits< Homogeneous< MatrixType, Direction_ > >::MaxColsAtCompileTime > | PlainMatrix |
| typedef std::conditional_t< internal::is_same< typename internal::traits< Homogeneous< MatrixType, Direction_ > >::XprKind, MatrixXpr >::value, PlainMatrix, PlainArray > | PlainObject |
| The plain matrix or array type corresponding to this expression. More... | |
| typedef internal::traits< Homogeneous< MatrixType, Direction_ > >::Scalar | Scalar |
| typedef internal::traits< Homogeneous< MatrixType, Direction_ > >::StorageIndex | StorageIndex |
| The type used to store indices. More... | |
| typedef Scalar | value_type |
| Public Member Functions inherited from Eigen::MatrixBase< Homogeneous< MatrixType, Direction_ > > | |
| const MatrixFunctionReturnValue< Homogeneous< MatrixType, Direction_ > > | acosh () const |
| This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise inverse hyperbolic cosine use ArrayBase::acosh . More... | |
| const AdjointReturnType | adjoint () const |
| void | adjointInPlace () |
| void | applyHouseholderOnTheLeft (const EssentialPart &essential, const Scalar &tau, Scalar *workspace) |
| void | applyHouseholderOnTheRight (const EssentialPart &essential, const Scalar &tau, Scalar *workspace) |
| void | applyOnTheLeft (const EigenBase< OtherDerived > &other) |
| void | applyOnTheLeft (Index p, Index q, const JacobiRotation< OtherScalar > &j) |
| void | applyOnTheRight (const EigenBase< OtherDerived > &other) |
| void | applyOnTheRight (Index p, Index q, const JacobiRotation< OtherScalar > &j) |
| ArrayWrapper< Homogeneous< MatrixType, Direction_ > > | array () |
| const ArrayWrapper< const Homogeneous< MatrixType, Direction_ > > | array () const |
| const DiagonalWrapper< const Homogeneous< MatrixType, Direction_ > > | asDiagonal () const |
| const MatrixFunctionReturnValue< Homogeneous< MatrixType, Direction_ > > | asinh () const |
| This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise inverse hyperbolic sine use ArrayBase::asinh . More... | |
| const MatrixFunctionReturnValue< Homogeneous< MatrixType, Direction_ > > | atanh () const |
| This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise inverse hyperbolic cosine use ArrayBase::atanh . More... | |
| BDCSVD< typename MatrixBase< Homogeneous< MatrixType, Direction_ > >::PlainObject, Options > | bdcSvd () const |
| BDCSVD< typename MatrixBase< Homogeneous< MatrixType, Direction_ > >::PlainObject, Options > | bdcSvd (unsigned int computationOptions) const |
| RealScalar | blueNorm () const |
| const ColPivHouseholderQR< PlainObject > | colPivHouseholderQr () const |
| const CompleteOrthogonalDecomposition< PlainObject > | completeOrthogonalDecomposition () const |
| void | computeInverseAndDetWithCheck (ResultType &inverse, typename ResultType::Scalar &determinant, bool &invertible, const RealScalar &absDeterminantThreshold=NumTraits< Scalar >::dummy_precision()) const |
| void | computeInverseWithCheck (ResultType &inverse, bool &invertible, const RealScalar &absDeterminantThreshold=NumTraits< Scalar >::dummy_precision()) const |
| const MatrixFunctionReturnValue< Homogeneous< MatrixType, Direction_ > > | cos () const |
| This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise cosine use ArrayBase::cos . More... | |
| const MatrixFunctionReturnValue< Homogeneous< MatrixType, Direction_ > > | cosh () const |
| This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise hyperbolic cosine use ArrayBase::cosh . More... | |
| PlainObject | cross (const MatrixBase< OtherDerived > &other) const |
| PlainObject | cross3 (const MatrixBase< OtherDerived > &other) const |
| Scalar | determinant () const |
| DiagonalReturnType | diagonal () |
| const ConstDiagonalReturnType | diagonal () const |
| Diagonal< Homogeneous< MatrixType, Direction_ >, DynamicIndex > | diagonal (Index index) |
| const Diagonal< const Homogeneous< MatrixType, Direction_ >, DynamicIndex > | diagonal (Index index) const |
| Index | diagonalSize () const |
| ScalarBinaryOpTraits< typename internal::traits< Homogeneous< MatrixType, Direction_ > >::Scalar, typename internal::traits< OtherDerived >::Scalar >::ReturnType | dot (const MatrixBase< OtherDerived > &other) const |
| EigenvaluesReturnType | eigenvalues () const |
| Computes the eigenvalues of a matrix. More... | |
| Matrix< Scalar, 3, 1 > | eulerAngles (Index a0, Index a1, Index a2) const |
| const MatrixExponentialReturnValue< Homogeneous< MatrixType, Direction_ > > | exp () const |
| This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise exponential use ArrayBase::exp . More... | |
| Homogeneous< MatrixType, Direction_ > & | forceAlignedAccess () |
| const Homogeneous< MatrixType, Direction_ > & | forceAlignedAccess () const |
| std::conditional_t< Enable, ForceAlignedAccess< Homogeneous< MatrixType, Direction_ > >, Homogeneous< MatrixType, Direction_ > & > | forceAlignedAccessIf () |
| add_const_on_value_type_t< std::conditional_t< Enable, ForceAlignedAccess< Homogeneous< MatrixType, Direction_ > >, Homogeneous< MatrixType, Direction_ > & > > | forceAlignedAccessIf () const |
| const FullPivHouseholderQR< PlainObject > | fullPivHouseholderQr () const |
| const FullPivLU< PlainObject > | fullPivLu () const |
| const HNormalizedReturnType | hnormalized () const |
| homogeneous normalization More... | |
| HomogeneousReturnType | homogeneous () const |
| const HouseholderQR< PlainObject > | householderQr () const |
| RealScalar | hypotNorm () const |
| const Inverse< Homogeneous< MatrixType, Direction_ > > | 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 |
| 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< typename MatrixBase< Homogeneous< MatrixType, Direction_ > >::PlainObject, Options > | jacobiSvd () const |
| const Product< Homogeneous< MatrixType, Direction_ >, OtherDerived, LazyProduct > | lazyProduct (const MatrixBase< OtherDerived > &other) const |
| const LDLT< PlainObject > | ldlt () const |
| const LLT< PlainObject > | llt () const |
| const MatrixLogarithmReturnValue< Homogeneous< MatrixType, Direction_ > > | log () const |
| This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise logarithm use ArrayBase::log . More... | |
| RealScalar | lpNorm () const |
| const PartialPivLU< PlainObject > | lu () const |
| void | makeHouseholder (EssentialPart &essential, Scalar &tau, RealScalar &beta) const |
| void | makeHouseholderInPlace (Scalar &tau, RealScalar &beta) |
| const MatrixFunctionReturnValue< Homogeneous< MatrixType, Direction_ > > | matrixFunction (StemFunction f) const |
| Helper function for the unsupported MatrixFunctions module. | |
| NoAlias< Homogeneous< MatrixType, Direction_ >, Eigen::MatrixBase > | noalias () |
| RealScalar | norm () const |
| void | normalize () |
| const PlainObject | normalized () const |
| bool | operator!= (const MatrixBase< OtherDerived > &other) const |
| const Product< Homogeneous< MatrixType, Direction_ >, DiagonalDerived, LazyProduct > | operator* (const DiagonalBase< DiagonalDerived > &diagonal) const |
| const Product< Homogeneous< MatrixType, Direction_ >, OtherDerived > | operator* (const MatrixBase< OtherDerived > &other) const |
| Homogeneous< MatrixType, Direction_ > & | operator*= (const EigenBase< OtherDerived > &other) |
| Homogeneous< MatrixType, Direction_ > & | operator+= (const MatrixBase< OtherDerived > &other) |
| Homogeneous< MatrixType, Direction_ > & | operator-= (const MatrixBase< OtherDerived > &other) |
| Homogeneous< MatrixType, Direction_ > & | operator= (const MatrixBase &other) |
| bool | operator== (const MatrixBase< OtherDerived > &other) const |
| RealScalar | operatorNorm () const |
| Computes the L2 operator norm. More... | |
| const PartialPivLU< PlainObject > | partialPivLu () const |
| const MatrixPowerReturnValue< Homogeneous< MatrixType, Direction_ > > | pow (const RealScalar &p) const |
This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise power to p use ArrayBase::pow . More... | |
| const MatrixComplexPowerReturnValue< Homogeneous< MatrixType, Direction_ > > | 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 . More... | |
| MatrixBase< Homogeneous< MatrixType, Direction_ > >::template SelfAdjointViewReturnType< UpLo >::Type | selfadjointView () |
| MatrixBase< Homogeneous< MatrixType, Direction_ > >::template ConstSelfAdjointViewReturnType< UpLo >::Type | selfadjointView () const |
| Homogeneous< MatrixType, Direction_ > & | setIdentity () |
| Homogeneous< MatrixType, Direction_ > & | setIdentity (Index rows, Index cols) |
| Resizes to the given size, and writes the identity expression (not necessarily square) into *this. More... | |
| Homogeneous< MatrixType, Direction_ > & | setUnit (Index i) |
Set the coefficients of *this to the i-th unit (basis) vector. More... | |
| Homogeneous< MatrixType, Direction_ > & | setUnit (Index newSize, Index i) |
| Resizes to the given newSize, and writes the i-th unit (basis) vector into *this. More... | |
| const MatrixFunctionReturnValue< Homogeneous< MatrixType, Direction_ > > | sin () const |
| This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise sine use ArrayBase::sin . More... | |
| const MatrixFunctionReturnValue< Homogeneous< MatrixType, Direction_ > > | sinh () const |
| This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise hyperbolic sine use ArrayBase::sinh . More... | |
| const SparseView< Homogeneous< MatrixType, Direction_ > > | sparseView (const Scalar &m_reference=Scalar(0), const typename NumTraits< Scalar >::Real &m_epsilon=NumTraits< Scalar >::dummy_precision()) const |
| const MatrixSquareRootReturnValue< Homogeneous< MatrixType, Direction_ > > | sqrt () const |
| This function requires the unsupported MatrixFunctions module. To compute the coefficient-wise square root use ArrayBase::sqrt . More... | |
| RealScalar | squaredNorm () const |
| RealScalar | stableNorm () const |
| void | stableNormalize () |
| const PlainObject | stableNormalized () const |
| Scalar | trace () const |
| MatrixBase< Homogeneous< MatrixType, Direction_ > >::template TriangularViewReturnType< Mode >::Type | triangularView () |
| MatrixBase< Homogeneous< MatrixType, Direction_ > >::template ConstTriangularViewReturnType< Mode >::Type | triangularView () const |
| PlainObject | unitOrthogonal (void) const |
| Public Member Functions inherited from Eigen::DenseBase< Homogeneous< MatrixType, Direction_ > > | |
| bool | all () const |
| bool | allFinite () const |
| bool | any () const |
| iterator | begin () |
| const_iterator | begin () const |
| const_iterator | cbegin () const |
| const_iterator | cend () const |
| ColwiseReturnType | colwise () |
| ConstColwiseReturnType | colwise () const |
| Index | count () const |
| iterator | end () |
| const_iterator | end () const |
| EvalReturnType | eval () const |
| void | fill (const Scalar &value) |
| EIGEN_DEPRECATED const Homogeneous< MatrixType, Direction_ > & | flagged () const |
| const WithFormat< Homogeneous< MatrixType, Direction_ > > | format (const IOFormat &fmt) const |
| bool | hasNaN () const |
| EIGEN_CONSTEXPR Index | innerSize () const |
| 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 |
| bool | isMuchSmallerThan (const DenseBase< OtherDerived > &other, const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const |
| 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 |
| EIGEN_DEPRECATED Homogeneous< MatrixType, Direction_ > & | lazyAssign (const DenseBase< OtherDerived > &other) |
| internal::traits< Homogeneous< MatrixType, Direction_ > >::Scalar | maxCoeff () const |
| internal::traits< Homogeneous< MatrixType, Direction_ > >::Scalar | maxCoeff (IndexType *index) const |
| internal::traits< Homogeneous< MatrixType, Direction_ > >::Scalar | maxCoeff (IndexType *row, IndexType *col) const |
| Scalar | mean () const |
| internal::traits< Homogeneous< MatrixType, Direction_ > >::Scalar | minCoeff () const |
| internal::traits< Homogeneous< MatrixType, Direction_ > >::Scalar | minCoeff (IndexType *index) const |
| internal::traits< Homogeneous< MatrixType, Direction_ > >::Scalar | minCoeff (IndexType *row, IndexType *col) const |
| const NestByValue< Homogeneous< MatrixType, Direction_ > > | nestByValue () const |
| CommaInitializer< Homogeneous< MatrixType, Direction_ > > | operator<< (const DenseBase< OtherDerived > &other) |
| CommaInitializer< Homogeneous< MatrixType, Direction_ > > | operator<< (const Scalar &s) |
| Homogeneous< MatrixType, Direction_ > & | operator= (const DenseBase &other) |
| Homogeneous< MatrixType, Direction_ > & | operator= (const DenseBase< OtherDerived > &other) |
| Homogeneous< MatrixType, Direction_ > & | operator= (const EigenBase< OtherDerived > &other) |
| Copies the generic expression other into *this. More... | |
| EIGEN_CONSTEXPR Index | outerSize () const |
| Scalar | prod () const |
| internal::traits< Homogeneous< MatrixType, Direction_ > >::Scalar | redux (const Func &func) const |
| const Replicate< Homogeneous< MatrixType, Direction_ >, RowFactor, ColFactor > | replicate () const |
| const Replicate< Homogeneous< MatrixType, Direction_ >, Dynamic, Dynamic > | replicate (Index rowFactor, Index colFactor) const |
| void | resize (Index newSize) |
| void | resize (Index rows, Index cols) |
| ReverseReturnType | reverse () |
| ConstReverseReturnType | reverse () const |
| void | reverseInPlace () |
| RowwiseReturnType | rowwise () |
| ConstRowwiseReturnType | rowwise () const |
| const Select< Homogeneous< MatrixType, Direction_ >, ThenDerived, ElseDerived > | select (const DenseBase< ThenDerived > &thenMatrix, const DenseBase< ElseDerived > &elseMatrix) const |
| const Select< Homogeneous< MatrixType, Direction_ >, ThenDerived, typename ThenDerived::ConstantReturnType > | select (const DenseBase< ThenDerived > &thenMatrix, const typename ThenDerived::Scalar &elseScalar) const |
| const Select< Homogeneous< MatrixType, Direction_ >, typename ElseDerived::ConstantReturnType, ElseDerived > | select (const typename ElseDerived::Scalar &thenScalar, const DenseBase< ElseDerived > &elseMatrix) const |
| Homogeneous< MatrixType, Direction_ > & | setConstant (const Scalar &value) |
| Homogeneous< MatrixType, Direction_ > & | setLinSpaced (const Scalar &low, const Scalar &high) |
| Sets a linearly spaced vector. More... | |
| Homogeneous< MatrixType, Direction_ > & | setLinSpaced (Index size, const Scalar &low, const Scalar &high) |
| Sets a linearly spaced vector. More... | |
| Homogeneous< MatrixType, Direction_ > & | setOnes () |
| Homogeneous< MatrixType, Direction_ > & | setRandom () |
| Homogeneous< MatrixType, Direction_ > & | setZero () |
| Scalar | sum () const |
| void | swap (const DenseBase< OtherDerived > &other) |
| void | swap (PlainObjectBase< OtherDerived > &other) |
| TransposeReturnType | transpose () |
| const ConstTransposeReturnType | transpose () const |
| void | transposeInPlace () |
| CoeffReturnType | value () const |
| void | visit (Visitor &func) const |
| Static Public Member Functions inherited from Eigen::MatrixBase< Homogeneous< MatrixType, Direction_ > > | |
| 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 () |
| Static Public Member Functions inherited from Eigen::DenseBase< Homogeneous< MatrixType, Direction_ > > | |
| 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) |
| static const RandomAccessLinSpacedReturnType | LinSpaced (Index size, const Scalar &low, const Scalar &high) |
| Sets a linearly spaced vector. More... | |
| 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) |
| static const CwiseNullaryOp< CustomNullaryOp, PlainObject > | NullaryExpr (const CustomNullaryOp &func) |
| static const CwiseNullaryOp< CustomNullaryOp, PlainObject > | NullaryExpr (Index rows, Index cols, const CustomNullaryOp &func) |
| 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) |
| Protected Member Functions inherited from Eigen::DenseBase< Homogeneous< MatrixType, Direction_ > > | |
| DenseBase () | |
| Related Functions inherited from Eigen::DenseBase< Homogeneous< MatrixType, Direction_ > > | |
| std::ostream & | operator<< (std::ostream &s, const DenseBase< Homogeneous< MatrixType, Direction_ > > &m) |
1.9.1 