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// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2006-2009 Benoit Jacob <jacob.benoit.1@gmail.com>
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// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
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//
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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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#ifndef EIGEN_MATRIXBASE_H
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#define EIGEN_MATRIXBASE_H
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namespace Eigen {
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/** \class MatrixBase
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* \ingroup Core_Module
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*
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* \brief Base class for all dense matrices, vectors, and expressions
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*
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* This class is the base that is inherited by all matrix, vector, and related expression
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* types. Most of the Eigen API is contained in this class, and its base classes. Other important
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* classes for the Eigen API are Matrix, and VectorwiseOp.
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*
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* Note that some methods are defined in other modules such as the \ref LU_Module LU module
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* for all functions related to matrix inversions.
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*
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* \tparam Derived is the derived type, e.g. a matrix type, or an expression, etc.
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*
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* When writing a function taking Eigen objects as argument, if you want your function
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* to take as argument any matrix, vector, or expression, just let it take a
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* MatrixBase argument. As an example, here is a function printFirstRow which, given
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* a matrix, vector, or expression \a x, prints the first row of \a x.
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*
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* \code
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template<typename Derived>
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void printFirstRow(const Eigen::MatrixBase<Derived>& x)
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{
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cout << x.row(0) << endl;
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}
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* \endcode
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*
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* This class can be extended with the help of the plugin mechanism described on the page
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* \ref TopicCustomizingEigen by defining the preprocessor symbol \c EIGEN_MATRIXBASE_PLUGIN.
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*
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* \sa \ref TopicClassHierarchy
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*/
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template<typename Derived> class MatrixBase
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: public DenseBase<Derived>
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{
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public:
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#ifndef EIGEN_PARSED_BY_DOXYGEN
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typedef MatrixBase StorageBaseType;
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typedef typename internal::traits<Derived>::StorageKind StorageKind;
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typedef typename internal::traits<Derived>::Index Index;
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typedef typename internal::traits<Derived>::Scalar Scalar;
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typedef typename internal::packet_traits<Scalar>::type PacketScalar;
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typedef typename NumTraits<Scalar>::Real RealScalar;
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typedef DenseBase<Derived> Base;
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using Base::RowsAtCompileTime;
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using Base::ColsAtCompileTime;
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using Base::SizeAtCompileTime;
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using Base::MaxRowsAtCompileTime;
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using Base::MaxColsAtCompileTime;
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using Base::MaxSizeAtCompileTime;
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using Base::IsVectorAtCompileTime;
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using Base::Flags;
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using Base::CoeffReadCost;
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using Base::derived;
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using Base::const_cast_derived;
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using Base::rows;
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using Base::cols;
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using Base::size;
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using Base::coeff;
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using Base::coeffRef;
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using Base::lazyAssign;
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using Base::eval;
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using Base::operator+=;
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using Base::operator-=;
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using Base::operator*=;
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using Base::operator/=;
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typedef typename Base::CoeffReturnType CoeffReturnType;
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typedef typename Base::ConstTransposeReturnType ConstTransposeReturnType;
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typedef typename Base::RowXpr RowXpr;
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typedef typename Base::ColXpr ColXpr;
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#endif // not EIGEN_PARSED_BY_DOXYGEN
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#ifndef EIGEN_PARSED_BY_DOXYGEN
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/** type of the equivalent square matrix */
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typedef Matrix<Scalar,EIGEN_SIZE_MAX(RowsAtCompileTime,ColsAtCompileTime),
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EIGEN_SIZE_MAX(RowsAtCompileTime,ColsAtCompileTime)> SquareMatrixType;
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#endif // not EIGEN_PARSED_BY_DOXYGEN
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/** \returns the size of the main diagonal, which is min(rows(),cols()).
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* \sa rows(), cols(), SizeAtCompileTime. */
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inline Index diagonalSize() const { return (std::min)(rows(),cols()); }
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/** \brief The plain matrix type corresponding to this expression.
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*
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* This is not necessarily exactly the return type of eval(). In the case of plain matrices,
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* the return type of eval() is a const reference to a matrix, not a matrix! It is however guaranteed
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* that the return type of eval() is either PlainObject or const PlainObject&.
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*/
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typedef Matrix<typename internal::traits<Derived>::Scalar,
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internal::traits<Derived>::RowsAtCompileTime,
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internal::traits<Derived>::ColsAtCompileTime,
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AutoAlign | (internal::traits<Derived>::Flags&RowMajorBit ? RowMajor : ColMajor),
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internal::traits<Derived>::MaxRowsAtCompileTime,
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internal::traits<Derived>::MaxColsAtCompileTime
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> PlainObject;
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#ifndef EIGEN_PARSED_BY_DOXYGEN
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/** \internal Represents a matrix with all coefficients equal to one another*/
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typedef CwiseNullaryOp<internal::scalar_constant_op<Scalar>,Derived> ConstantReturnType;
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/** \internal the return type of MatrixBase::adjoint() */
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typedef typename internal::conditional<NumTraits<Scalar>::IsComplex,
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CwiseUnaryOp<internal::scalar_conjugate_op<Scalar>, ConstTransposeReturnType>,
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ConstTransposeReturnType
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>::type AdjointReturnType;
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/** \internal Return type of eigenvalues() */
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typedef Matrix<std::complex<RealScalar>, internal::traits<Derived>::ColsAtCompileTime, 1, ColMajor> EigenvaluesReturnType;
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/** \internal the return type of identity */
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typedef CwiseNullaryOp<internal::scalar_identity_op<Scalar>,Derived> IdentityReturnType;
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/** \internal the return type of unit vectors */
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typedef Block<const CwiseNullaryOp<internal::scalar_identity_op<Scalar>, SquareMatrixType>,
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internal::traits<Derived>::RowsAtCompileTime,
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internal::traits<Derived>::ColsAtCompileTime> BasisReturnType;
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#endif // not EIGEN_PARSED_BY_DOXYGEN
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#define EIGEN_CURRENT_STORAGE_BASE_CLASS Eigen::MatrixBase
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# include "../plugins/CommonCwiseUnaryOps.h"
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# include "../plugins/CommonCwiseBinaryOps.h"
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# include "../plugins/MatrixCwiseUnaryOps.h"
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# include "../plugins/MatrixCwiseBinaryOps.h"
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# ifdef EIGEN_MATRIXBASE_PLUGIN
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# include EIGEN_MATRIXBASE_PLUGIN
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# endif
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#undef EIGEN_CURRENT_STORAGE_BASE_CLASS
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/** Special case of the template operator=, in order to prevent the compiler
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* from generating a default operator= (issue hit with g++ 4.1)
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*/
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Derived& operator=(const MatrixBase& other);
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// We cannot inherit here via Base::operator= since it is causing
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// trouble with MSVC.
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template <typename OtherDerived>
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Derived& operator=(const DenseBase<OtherDerived>& other);
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template <typename OtherDerived>
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Derived& operator=(const EigenBase<OtherDerived>& other);
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template<typename OtherDerived>
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Derived& operator=(const ReturnByValue<OtherDerived>& other);
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template<typename ProductDerived, typename Lhs, typename Rhs>
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Derived& lazyAssign(const ProductBase<ProductDerived, Lhs,Rhs>& other);
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template<typename MatrixPower, typename Lhs, typename Rhs>
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Derived& lazyAssign(const MatrixPowerProduct<MatrixPower, Lhs,Rhs>& other);
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template<typename OtherDerived>
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Derived& operator+=(const MatrixBase<OtherDerived>& other);
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template<typename OtherDerived>
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Derived& operator-=(const MatrixBase<OtherDerived>& other);
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template<typename OtherDerived>
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const typename ProductReturnType<Derived,OtherDerived>::Type
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operator*(const MatrixBase<OtherDerived> &other) const;
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template<typename OtherDerived>
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const typename LazyProductReturnType<Derived,OtherDerived>::Type
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lazyProduct(const MatrixBase<OtherDerived> &other) const;
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template<typename OtherDerived>
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Derived& operator*=(const EigenBase<OtherDerived>& other);
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template<typename OtherDerived>
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void applyOnTheLeft(const EigenBase<OtherDerived>& other);
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template<typename OtherDerived>
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void applyOnTheRight(const EigenBase<OtherDerived>& other);
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template<typename DiagonalDerived>
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const DiagonalProduct<Derived, DiagonalDerived, OnTheRight>
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operator*(const DiagonalBase<DiagonalDerived> &diagonal) const;
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template<typename OtherDerived>
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typename internal::scalar_product_traits<typename internal::traits<Derived>::Scalar,typename internal::traits<OtherDerived>::Scalar>::ReturnType
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dot(const MatrixBase<OtherDerived>& other) const;
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#ifdef EIGEN2_SUPPORT
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template<typename OtherDerived>
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Scalar eigen2_dot(const MatrixBase<OtherDerived>& other) const;
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#endif
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RealScalar squaredNorm() const;
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RealScalar norm() const;
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RealScalar stableNorm() const;
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RealScalar blueNorm() const;
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RealScalar hypotNorm() const;
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const PlainObject normalized() const;
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void normalize();
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const AdjointReturnType adjoint() const;
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void adjointInPlace();
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typedef Diagonal<Derived> DiagonalReturnType;
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DiagonalReturnType diagonal();
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typedef typename internal::add_const<Diagonal<const Derived> >::type ConstDiagonalReturnType;
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ConstDiagonalReturnType diagonal() const;
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template<int Index> struct DiagonalIndexReturnType { typedef Diagonal<Derived,Index> Type; };
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template<int Index> struct ConstDiagonalIndexReturnType { typedef const Diagonal<const Derived,Index> Type; };
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template<int Index> typename DiagonalIndexReturnType<Index>::Type diagonal();
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template<int Index> typename ConstDiagonalIndexReturnType<Index>::Type diagonal() const;
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typedef Diagonal<Derived,DynamicIndex> DiagonalDynamicIndexReturnType;
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typedef typename internal::add_const<Diagonal<const Derived,DynamicIndex> >::type ConstDiagonalDynamicIndexReturnType;
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DiagonalDynamicIndexReturnType diagonal(Index index);
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ConstDiagonalDynamicIndexReturnType diagonal(Index index) const;
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#ifdef EIGEN2_SUPPORT
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template<unsigned int Mode> typename internal::eigen2_part_return_type<Derived, Mode>::type part();
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template<unsigned int Mode> const typename internal::eigen2_part_return_type<Derived, Mode>::type part() const;
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// huuuge hack. make Eigen2's matrix.part<Diagonal>() work in eigen3. Problem: Diagonal is now a class template instead
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// of an integer constant. Solution: overload the part() method template wrt template parameters list.
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template<template<typename T, int N> class U>
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const DiagonalWrapper<ConstDiagonalReturnType> part() const
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{ return diagonal().asDiagonal(); }
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#endif // EIGEN2_SUPPORT
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241
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242
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template<unsigned int Mode> struct TriangularViewReturnType { typedef TriangularView<Derived, Mode> Type; };
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template<unsigned int Mode> struct ConstTriangularViewReturnType { typedef const TriangularView<const Derived, Mode> Type; };
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244
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template<unsigned int Mode> typename TriangularViewReturnType<Mode>::Type triangularView();
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246
|
template<unsigned int Mode> typename ConstTriangularViewReturnType<Mode>::Type triangularView() const;
|
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247
|
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248
|
template<unsigned int UpLo> struct SelfAdjointViewReturnType { typedef SelfAdjointView<Derived, UpLo> Type; };
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249
|
template<unsigned int UpLo> struct ConstSelfAdjointViewReturnType { typedef const SelfAdjointView<const Derived, UpLo> Type; };
|
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250
|
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251
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template<unsigned int UpLo> typename SelfAdjointViewReturnType<UpLo>::Type selfadjointView();
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252
|
template<unsigned int UpLo> typename ConstSelfAdjointViewReturnType<UpLo>::Type selfadjointView() const;
|
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253
|
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254
|
const SparseView<Derived> sparseView(const Scalar& m_reference = Scalar(0),
|
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255
|
const typename NumTraits<Scalar>::Real& m_epsilon = NumTraits<Scalar>::dummy_precision()) const;
|
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|
256
|
static const IdentityReturnType Identity();
|
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|
257
|
static const IdentityReturnType Identity(Index rows, Index cols);
|
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|
258
|
static const BasisReturnType Unit(Index size, Index i);
|
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|
259
|
static const BasisReturnType Unit(Index i);
|
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|
260
|
static const BasisReturnType UnitX();
|
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|
261
|
static const BasisReturnType UnitY();
|
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|
262
|
static const BasisReturnType UnitZ();
|
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|
263
|
static const BasisReturnType UnitW();
|
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|
264
|
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265
|
const DiagonalWrapper<const Derived> asDiagonal() const;
|
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266
|
const PermutationWrapper<const Derived> asPermutation() const;
|
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|
267
|
|
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|
268
|
Derived& setIdentity();
|
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|
269
|
Derived& setIdentity(Index rows, Index cols);
|
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|
270
|
|
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|
271
|
bool isIdentity(const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
|
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|
272
|
bool isDiagonal(const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
|
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|
273
|
|
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|
274
|
bool isUpperTriangular(const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
|
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|
275
|
bool isLowerTriangular(const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
|
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|
276
|
|
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|
277
|
template<typename OtherDerived>
|
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0:13a5d365ba16
|
278
|
bool isOrthogonal(const MatrixBase<OtherDerived>& other,
|
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0:13a5d365ba16
|
279
|
const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
|
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0:13a5d365ba16
|
280
|
bool isUnitary(const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
|
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0:13a5d365ba16
|
281
|
|
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0:13a5d365ba16
|
282
|
/** \returns true if each coefficients of \c *this and \a other are all exactly equal.
|
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0:13a5d365ba16
|
283
|
* \warning When using floating point scalar values you probably should rather use a
|
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0:13a5d365ba16
|
284
|
* fuzzy comparison such as isApprox()
|
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0:13a5d365ba16
|
285
|
* \sa isApprox(), operator!= */
|
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0:13a5d365ba16
|
286
|
template<typename OtherDerived>
|
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0:13a5d365ba16
|
287
|
inline bool operator==(const MatrixBase<OtherDerived>& other) const
|
ykuroda |
0:13a5d365ba16
|
288
|
{ return cwiseEqual(other).all(); }
|
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0:13a5d365ba16
|
289
|
|
ykuroda |
0:13a5d365ba16
|
290
|
/** \returns true if at least one pair of coefficients of \c *this and \a other are not exactly equal to each other.
|
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0:13a5d365ba16
|
291
|
* \warning When using floating point scalar values you probably should rather use a
|
ykuroda |
0:13a5d365ba16
|
292
|
* fuzzy comparison such as isApprox()
|
ykuroda |
0:13a5d365ba16
|
293
|
* \sa isApprox(), operator== */
|
ykuroda |
0:13a5d365ba16
|
294
|
template<typename OtherDerived>
|
ykuroda |
0:13a5d365ba16
|
295
|
inline bool operator!=(const MatrixBase<OtherDerived>& other) const
|
ykuroda |
0:13a5d365ba16
|
296
|
{ return cwiseNotEqual(other).any(); }
|
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0:13a5d365ba16
|
297
|
|
ykuroda |
0:13a5d365ba16
|
298
|
NoAlias<Derived,Eigen::MatrixBase > noalias();
|
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0:13a5d365ba16
|
299
|
|
ykuroda |
0:13a5d365ba16
|
300
|
inline const ForceAlignedAccess<Derived> forceAlignedAccess() const;
|
ykuroda |
0:13a5d365ba16
|
301
|
inline ForceAlignedAccess<Derived> forceAlignedAccess();
|
ykuroda |
0:13a5d365ba16
|
302
|
template<bool Enable> inline typename internal::add_const_on_value_type<typename internal::conditional<Enable,ForceAlignedAccess<Derived>,Derived&>::type>::type forceAlignedAccessIf() const;
|
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0:13a5d365ba16
|
303
|
template<bool Enable> inline typename internal::conditional<Enable,ForceAlignedAccess<Derived>,Derived&>::type forceAlignedAccessIf();
|
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0:13a5d365ba16
|
304
|
|
ykuroda |
0:13a5d365ba16
|
305
|
Scalar trace() const;
|
ykuroda |
0:13a5d365ba16
|
306
|
|
ykuroda |
0:13a5d365ba16
|
307
|
/////////// Array module ///////////
|
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0:13a5d365ba16
|
308
|
|
ykuroda |
0:13a5d365ba16
|
309
|
template<int p> RealScalar lpNorm() const;
|
ykuroda |
0:13a5d365ba16
|
310
|
|
ykuroda |
0:13a5d365ba16
|
311
|
MatrixBase<Derived>& matrix() { return *this; }
|
ykuroda |
0:13a5d365ba16
|
312
|
const MatrixBase<Derived>& matrix() const { return *this; }
|
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0:13a5d365ba16
|
313
|
|
ykuroda |
0:13a5d365ba16
|
314
|
/** \returns an \link Eigen::ArrayBase Array \endlink expression of this matrix
|
ykuroda |
0:13a5d365ba16
|
315
|
* \sa ArrayBase::matrix() */
|
ykuroda |
0:13a5d365ba16
|
316
|
ArrayWrapper<Derived> array() { return derived(); }
|
ykuroda |
0:13a5d365ba16
|
317
|
const ArrayWrapper<const Derived> array() const { return derived(); }
|
ykuroda |
0:13a5d365ba16
|
318
|
|
ykuroda |
0:13a5d365ba16
|
319
|
/////////// LU module ///////////
|
ykuroda |
0:13a5d365ba16
|
320
|
|
ykuroda |
0:13a5d365ba16
|
321
|
const FullPivLU<PlainObject> fullPivLu() const;
|
ykuroda |
0:13a5d365ba16
|
322
|
const PartialPivLU<PlainObject> partialPivLu() const;
|
ykuroda |
0:13a5d365ba16
|
323
|
|
ykuroda |
0:13a5d365ba16
|
324
|
#if EIGEN2_SUPPORT_STAGE < STAGE20_RESOLVE_API_CONFLICTS
|
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0:13a5d365ba16
|
325
|
const LU<PlainObject> lu() const;
|
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0:13a5d365ba16
|
326
|
#endif
|
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0:13a5d365ba16
|
327
|
|
ykuroda |
0:13a5d365ba16
|
328
|
#ifdef EIGEN2_SUPPORT
|
ykuroda |
0:13a5d365ba16
|
329
|
const LU<PlainObject> eigen2_lu() const;
|
ykuroda |
0:13a5d365ba16
|
330
|
#endif
|
ykuroda |
0:13a5d365ba16
|
331
|
|
ykuroda |
0:13a5d365ba16
|
332
|
#if EIGEN2_SUPPORT_STAGE > STAGE20_RESOLVE_API_CONFLICTS
|
ykuroda |
0:13a5d365ba16
|
333
|
const PartialPivLU<PlainObject> lu() const;
|
ykuroda |
0:13a5d365ba16
|
334
|
#endif
|
ykuroda |
0:13a5d365ba16
|
335
|
|
ykuroda |
0:13a5d365ba16
|
336
|
#ifdef EIGEN2_SUPPORT
|
ykuroda |
0:13a5d365ba16
|
337
|
template<typename ResultType>
|
ykuroda |
0:13a5d365ba16
|
338
|
void computeInverse(MatrixBase<ResultType> *result) const {
|
ykuroda |
0:13a5d365ba16
|
339
|
*result = this->inverse();
|
ykuroda |
0:13a5d365ba16
|
340
|
}
|
ykuroda |
0:13a5d365ba16
|
341
|
#endif
|
ykuroda |
0:13a5d365ba16
|
342
|
|
ykuroda |
0:13a5d365ba16
|
343
|
const internal::inverse_impl<Derived> inverse() const;
|
ykuroda |
0:13a5d365ba16
|
344
|
template<typename ResultType>
|
ykuroda |
0:13a5d365ba16
|
345
|
void computeInverseAndDetWithCheck(
|
ykuroda |
0:13a5d365ba16
|
346
|
ResultType& inverse,
|
ykuroda |
0:13a5d365ba16
|
347
|
typename ResultType::Scalar& determinant,
|
ykuroda |
0:13a5d365ba16
|
348
|
bool& invertible,
|
ykuroda |
0:13a5d365ba16
|
349
|
const RealScalar& absDeterminantThreshold = NumTraits<Scalar>::dummy_precision()
|
ykuroda |
0:13a5d365ba16
|
350
|
) const;
|
ykuroda |
0:13a5d365ba16
|
351
|
template<typename ResultType>
|
ykuroda |
0:13a5d365ba16
|
352
|
void computeInverseWithCheck(
|
ykuroda |
0:13a5d365ba16
|
353
|
ResultType& inverse,
|
ykuroda |
0:13a5d365ba16
|
354
|
bool& invertible,
|
ykuroda |
0:13a5d365ba16
|
355
|
const RealScalar& absDeterminantThreshold = NumTraits<Scalar>::dummy_precision()
|
ykuroda |
0:13a5d365ba16
|
356
|
) const;
|
ykuroda |
0:13a5d365ba16
|
357
|
Scalar determinant() const;
|
ykuroda |
0:13a5d365ba16
|
358
|
|
ykuroda |
0:13a5d365ba16
|
359
|
/////////// Cholesky module ///////////
|
ykuroda |
0:13a5d365ba16
|
360
|
|
ykuroda |
0:13a5d365ba16
|
361
|
const LLT<PlainObject> llt() const;
|
ykuroda |
0:13a5d365ba16
|
362
|
const LDLT<PlainObject> ldlt() const;
|
ykuroda |
0:13a5d365ba16
|
363
|
|
ykuroda |
0:13a5d365ba16
|
364
|
/////////// QR module ///////////
|
ykuroda |
0:13a5d365ba16
|
365
|
|
ykuroda |
0:13a5d365ba16
|
366
|
const HouseholderQR<PlainObject> householderQr() const;
|
ykuroda |
0:13a5d365ba16
|
367
|
const ColPivHouseholderQR<PlainObject> colPivHouseholderQr() const;
|
ykuroda |
0:13a5d365ba16
|
368
|
const FullPivHouseholderQR<PlainObject> fullPivHouseholderQr() const;
|
ykuroda |
0:13a5d365ba16
|
369
|
|
ykuroda |
0:13a5d365ba16
|
370
|
#ifdef EIGEN2_SUPPORT
|
ykuroda |
0:13a5d365ba16
|
371
|
const QR<PlainObject> qr() const;
|
ykuroda |
0:13a5d365ba16
|
372
|
#endif
|
ykuroda |
0:13a5d365ba16
|
373
|
|
ykuroda |
0:13a5d365ba16
|
374
|
EigenvaluesReturnType eigenvalues() const;
|
ykuroda |
0:13a5d365ba16
|
375
|
RealScalar operatorNorm() const;
|
ykuroda |
0:13a5d365ba16
|
376
|
|
ykuroda |
0:13a5d365ba16
|
377
|
/////////// SVD module ///////////
|
ykuroda |
0:13a5d365ba16
|
378
|
|
ykuroda |
0:13a5d365ba16
|
379
|
JacobiSVD<PlainObject> jacobiSvd(unsigned int computationOptions = 0) const;
|
ykuroda |
0:13a5d365ba16
|
380
|
|
ykuroda |
0:13a5d365ba16
|
381
|
#ifdef EIGEN2_SUPPORT
|
ykuroda |
0:13a5d365ba16
|
382
|
SVD<PlainObject> svd() const;
|
ykuroda |
0:13a5d365ba16
|
383
|
#endif
|
ykuroda |
0:13a5d365ba16
|
384
|
|
ykuroda |
0:13a5d365ba16
|
385
|
/////////// Geometry module ///////////
|
ykuroda |
0:13a5d365ba16
|
386
|
|
ykuroda |
0:13a5d365ba16
|
387
|
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
ykuroda |
0:13a5d365ba16
|
388
|
/// \internal helper struct to form the return type of the cross product
|
ykuroda |
0:13a5d365ba16
|
389
|
template<typename OtherDerived> struct cross_product_return_type {
|
ykuroda |
0:13a5d365ba16
|
390
|
typedef typename internal::scalar_product_traits<typename internal::traits<Derived>::Scalar,typename internal::traits<OtherDerived>::Scalar>::ReturnType Scalar;
|
ykuroda |
0:13a5d365ba16
|
391
|
typedef Matrix<Scalar,MatrixBase::RowsAtCompileTime,MatrixBase::ColsAtCompileTime> type;
|
ykuroda |
0:13a5d365ba16
|
392
|
};
|
ykuroda |
0:13a5d365ba16
|
393
|
#endif // EIGEN_PARSED_BY_DOXYGEN
|
ykuroda |
0:13a5d365ba16
|
394
|
template<typename OtherDerived>
|
ykuroda |
0:13a5d365ba16
|
395
|
typename cross_product_return_type<OtherDerived>::type
|
ykuroda |
0:13a5d365ba16
|
396
|
cross(const MatrixBase<OtherDerived>& other) const;
|
ykuroda |
0:13a5d365ba16
|
397
|
template<typename OtherDerived>
|
ykuroda |
0:13a5d365ba16
|
398
|
PlainObject cross3(const MatrixBase<OtherDerived>& other) const;
|
ykuroda |
0:13a5d365ba16
|
399
|
PlainObject unitOrthogonal(void) const;
|
ykuroda |
0:13a5d365ba16
|
400
|
Matrix<Scalar,3,1> eulerAngles(Index a0, Index a1, Index a2) const;
|
ykuroda |
0:13a5d365ba16
|
401
|
|
ykuroda |
0:13a5d365ba16
|
402
|
#if EIGEN2_SUPPORT_STAGE > STAGE20_RESOLVE_API_CONFLICTS
|
ykuroda |
0:13a5d365ba16
|
403
|
ScalarMultipleReturnType operator*(const UniformScaling<Scalar>& s) const;
|
ykuroda |
0:13a5d365ba16
|
404
|
// put this as separate enum value to work around possible GCC 4.3 bug (?)
|
ykuroda |
0:13a5d365ba16
|
405
|
enum { HomogeneousReturnTypeDirection = ColsAtCompileTime==1?Vertical:Horizontal };
|
ykuroda |
0:13a5d365ba16
|
406
|
typedef Homogeneous<Derived, HomogeneousReturnTypeDirection> HomogeneousReturnType;
|
ykuroda |
0:13a5d365ba16
|
407
|
HomogeneousReturnType homogeneous() const;
|
ykuroda |
0:13a5d365ba16
|
408
|
#endif
|
ykuroda |
0:13a5d365ba16
|
409
|
|
ykuroda |
0:13a5d365ba16
|
410
|
enum {
|
ykuroda |
0:13a5d365ba16
|
411
|
SizeMinusOne = SizeAtCompileTime==Dynamic ? Dynamic : SizeAtCompileTime-1
|
ykuroda |
0:13a5d365ba16
|
412
|
};
|
ykuroda |
0:13a5d365ba16
|
413
|
typedef Block<const Derived,
|
ykuroda |
0:13a5d365ba16
|
414
|
internal::traits<Derived>::ColsAtCompileTime==1 ? SizeMinusOne : 1,
|
ykuroda |
0:13a5d365ba16
|
415
|
internal::traits<Derived>::ColsAtCompileTime==1 ? 1 : SizeMinusOne> ConstStartMinusOne;
|
ykuroda |
0:13a5d365ba16
|
416
|
typedef CwiseUnaryOp<internal::scalar_quotient1_op<typename internal::traits<Derived>::Scalar>,
|
ykuroda |
0:13a5d365ba16
|
417
|
const ConstStartMinusOne > HNormalizedReturnType;
|
ykuroda |
0:13a5d365ba16
|
418
|
|
ykuroda |
0:13a5d365ba16
|
419
|
const HNormalizedReturnType hnormalized() const;
|
ykuroda |
0:13a5d365ba16
|
420
|
|
ykuroda |
0:13a5d365ba16
|
421
|
////////// Householder module ///////////
|
ykuroda |
0:13a5d365ba16
|
422
|
|
ykuroda |
0:13a5d365ba16
|
423
|
void makeHouseholderInPlace(Scalar& tau, RealScalar& beta);
|
ykuroda |
0:13a5d365ba16
|
424
|
template<typename EssentialPart>
|
ykuroda |
0:13a5d365ba16
|
425
|
void makeHouseholder(EssentialPart& essential,
|
ykuroda |
0:13a5d365ba16
|
426
|
Scalar& tau, RealScalar& beta) const;
|
ykuroda |
0:13a5d365ba16
|
427
|
template<typename EssentialPart>
|
ykuroda |
0:13a5d365ba16
|
428
|
void applyHouseholderOnTheLeft(const EssentialPart& essential,
|
ykuroda |
0:13a5d365ba16
|
429
|
const Scalar& tau,
|
ykuroda |
0:13a5d365ba16
|
430
|
Scalar* workspace);
|
ykuroda |
0:13a5d365ba16
|
431
|
template<typename EssentialPart>
|
ykuroda |
0:13a5d365ba16
|
432
|
void applyHouseholderOnTheRight(const EssentialPart& essential,
|
ykuroda |
0:13a5d365ba16
|
433
|
const Scalar& tau,
|
ykuroda |
0:13a5d365ba16
|
434
|
Scalar* workspace);
|
ykuroda |
0:13a5d365ba16
|
435
|
|
ykuroda |
0:13a5d365ba16
|
436
|
///////// Jacobi module /////////
|
ykuroda |
0:13a5d365ba16
|
437
|
|
ykuroda |
0:13a5d365ba16
|
438
|
template<typename OtherScalar>
|
ykuroda |
0:13a5d365ba16
|
439
|
void applyOnTheLeft(Index p, Index q, const JacobiRotation<OtherScalar>& j);
|
ykuroda |
0:13a5d365ba16
|
440
|
template<typename OtherScalar>
|
ykuroda |
0:13a5d365ba16
|
441
|
void applyOnTheRight(Index p, Index q, const JacobiRotation<OtherScalar>& j);
|
ykuroda |
0:13a5d365ba16
|
442
|
|
ykuroda |
0:13a5d365ba16
|
443
|
///////// SparseCore module /////////
|
ykuroda |
0:13a5d365ba16
|
444
|
|
ykuroda |
0:13a5d365ba16
|
445
|
template<typename OtherDerived>
|
ykuroda |
0:13a5d365ba16
|
446
|
EIGEN_STRONG_INLINE const typename SparseMatrixBase<OtherDerived>::template CwiseProductDenseReturnType<Derived>::Type
|
ykuroda |
0:13a5d365ba16
|
447
|
cwiseProduct(const SparseMatrixBase<OtherDerived> &other) const
|
ykuroda |
0:13a5d365ba16
|
448
|
{
|
ykuroda |
0:13a5d365ba16
|
449
|
return other.cwiseProduct(derived());
|
ykuroda |
0:13a5d365ba16
|
450
|
}
|
ykuroda |
0:13a5d365ba16
|
451
|
|
ykuroda |
0:13a5d365ba16
|
452
|
///////// MatrixFunctions module /////////
|
ykuroda |
0:13a5d365ba16
|
453
|
|
ykuroda |
0:13a5d365ba16
|
454
|
typedef typename internal::stem_function<Scalar>::type StemFunction;
|
ykuroda |
0:13a5d365ba16
|
455
|
const MatrixExponentialReturnValue<Derived> exp() const;
|
ykuroda |
0:13a5d365ba16
|
456
|
const MatrixFunctionReturnValue<Derived> matrixFunction(StemFunction f) const;
|
ykuroda |
0:13a5d365ba16
|
457
|
const MatrixFunctionReturnValue<Derived> cosh() const;
|
ykuroda |
0:13a5d365ba16
|
458
|
const MatrixFunctionReturnValue<Derived> sinh() const;
|
ykuroda |
0:13a5d365ba16
|
459
|
const MatrixFunctionReturnValue<Derived> cos() const;
|
ykuroda |
0:13a5d365ba16
|
460
|
const MatrixFunctionReturnValue<Derived> sin() const;
|
ykuroda |
0:13a5d365ba16
|
461
|
const MatrixSquareRootReturnValue<Derived> sqrt() const;
|
ykuroda |
0:13a5d365ba16
|
462
|
const MatrixLogarithmReturnValue<Derived> log() const;
|
ykuroda |
0:13a5d365ba16
|
463
|
const MatrixPowerReturnValue<Derived> pow(const RealScalar& p) const;
|
ykuroda |
0:13a5d365ba16
|
464
|
|
ykuroda |
0:13a5d365ba16
|
465
|
#ifdef EIGEN2_SUPPORT
|
ykuroda |
0:13a5d365ba16
|
466
|
template<typename ProductDerived, typename Lhs, typename Rhs>
|
ykuroda |
0:13a5d365ba16
|
467
|
Derived& operator+=(const Flagged<ProductBase<ProductDerived, Lhs,Rhs>, 0,
|
ykuroda |
0:13a5d365ba16
|
468
|
EvalBeforeAssigningBit>& other);
|
ykuroda |
0:13a5d365ba16
|
469
|
|
ykuroda |
0:13a5d365ba16
|
470
|
template<typename ProductDerived, typename Lhs, typename Rhs>
|
ykuroda |
0:13a5d365ba16
|
471
|
Derived& operator-=(const Flagged<ProductBase<ProductDerived, Lhs,Rhs>, 0,
|
ykuroda |
0:13a5d365ba16
|
472
|
EvalBeforeAssigningBit>& other);
|
ykuroda |
0:13a5d365ba16
|
473
|
|
ykuroda |
0:13a5d365ba16
|
474
|
/** \deprecated because .lazy() is deprecated
|
ykuroda |
0:13a5d365ba16
|
475
|
* Overloaded for cache friendly product evaluation */
|
ykuroda |
0:13a5d365ba16
|
476
|
template<typename OtherDerived>
|
ykuroda |
0:13a5d365ba16
|
477
|
Derived& lazyAssign(const Flagged<OtherDerived, 0, EvalBeforeAssigningBit>& other)
|
ykuroda |
0:13a5d365ba16
|
478
|
{ return lazyAssign(other._expression()); }
|
ykuroda |
0:13a5d365ba16
|
479
|
|
ykuroda |
0:13a5d365ba16
|
480
|
template<unsigned int Added>
|
ykuroda |
0:13a5d365ba16
|
481
|
const Flagged<Derived, Added, 0> marked() const;
|
ykuroda |
0:13a5d365ba16
|
482
|
const Flagged<Derived, 0, EvalBeforeAssigningBit> lazy() const;
|
ykuroda |
0:13a5d365ba16
|
483
|
|
ykuroda |
0:13a5d365ba16
|
484
|
inline const Cwise<Derived> cwise() const;
|
ykuroda |
0:13a5d365ba16
|
485
|
inline Cwise<Derived> cwise();
|
ykuroda |
0:13a5d365ba16
|
486
|
|
ykuroda |
0:13a5d365ba16
|
487
|
VectorBlock<Derived> start(Index size);
|
ykuroda |
0:13a5d365ba16
|
488
|
const VectorBlock<const Derived> start(Index size) const;
|
ykuroda |
0:13a5d365ba16
|
489
|
VectorBlock<Derived> end(Index size);
|
ykuroda |
0:13a5d365ba16
|
490
|
const VectorBlock<const Derived> end(Index size) const;
|
ykuroda |
0:13a5d365ba16
|
491
|
template<int Size> VectorBlock<Derived,Size> start();
|
ykuroda |
0:13a5d365ba16
|
492
|
template<int Size> const VectorBlock<const Derived,Size> start() const;
|
ykuroda |
0:13a5d365ba16
|
493
|
template<int Size> VectorBlock<Derived,Size> end();
|
ykuroda |
0:13a5d365ba16
|
494
|
template<int Size> const VectorBlock<const Derived,Size> end() const;
|
ykuroda |
0:13a5d365ba16
|
495
|
|
ykuroda |
0:13a5d365ba16
|
496
|
Minor<Derived> minor(Index row, Index col);
|
ykuroda |
0:13a5d365ba16
|
497
|
const Minor<Derived> minor(Index row, Index col) const;
|
ykuroda |
0:13a5d365ba16
|
498
|
#endif
|
ykuroda |
0:13a5d365ba16
|
499
|
|
ykuroda |
0:13a5d365ba16
|
500
|
protected:
|
ykuroda |
0:13a5d365ba16
|
501
|
MatrixBase() : Base() {}
|
ykuroda |
0:13a5d365ba16
|
502
|
|
ykuroda |
0:13a5d365ba16
|
503
|
private:
|
ykuroda |
0:13a5d365ba16
|
504
|
explicit MatrixBase(int);
|
ykuroda |
0:13a5d365ba16
|
505
|
MatrixBase(int,int);
|
ykuroda |
0:13a5d365ba16
|
506
|
template<typename OtherDerived> explicit MatrixBase(const MatrixBase<OtherDerived>&);
|
ykuroda |
0:13a5d365ba16
|
507
|
protected:
|
ykuroda |
0:13a5d365ba16
|
508
|
// mixing arrays and matrices is not legal
|
ykuroda |
0:13a5d365ba16
|
509
|
template<typename OtherDerived> Derived& operator+=(const ArrayBase<OtherDerived>& )
|
ykuroda |
0:13a5d365ba16
|
510
|
{EIGEN_STATIC_ASSERT(std::ptrdiff_t(sizeof(typename OtherDerived::Scalar))==-1,YOU_CANNOT_MIX_ARRAYS_AND_MATRICES); return *this;}
|
ykuroda |
0:13a5d365ba16
|
511
|
// mixing arrays and matrices is not legal
|
ykuroda |
0:13a5d365ba16
|
512
|
template<typename OtherDerived> Derived& operator-=(const ArrayBase<OtherDerived>& )
|
ykuroda |
0:13a5d365ba16
|
513
|
{EIGEN_STATIC_ASSERT(std::ptrdiff_t(sizeof(typename OtherDerived::Scalar))==-1,YOU_CANNOT_MIX_ARRAYS_AND_MATRICES); return *this;}
|
ykuroda |
0:13a5d365ba16
|
514
|
};
|
ykuroda |
0:13a5d365ba16
|
515
|
|
ykuroda |
0:13a5d365ba16
|
516
|
|
ykuroda |
0:13a5d365ba16
|
517
|
/***************************************************************************
|
ykuroda |
0:13a5d365ba16
|
518
|
* Implementation of matrix base methods
|
ykuroda |
0:13a5d365ba16
|
519
|
***************************************************************************/
|
ykuroda |
0:13a5d365ba16
|
520
|
|
ykuroda |
0:13a5d365ba16
|
521
|
/** replaces \c *this by \c *this * \a other.
|
ykuroda |
0:13a5d365ba16
|
522
|
*
|
ykuroda |
0:13a5d365ba16
|
523
|
* \returns a reference to \c *this
|
ykuroda |
0:13a5d365ba16
|
524
|
*
|
ykuroda |
0:13a5d365ba16
|
525
|
* Example: \include MatrixBase_applyOnTheRight.cpp
|
ykuroda |
0:13a5d365ba16
|
526
|
* Output: \verbinclude MatrixBase_applyOnTheRight.out
|
ykuroda |
0:13a5d365ba16
|
527
|
*/
|
ykuroda |
0:13a5d365ba16
|
528
|
template<typename Derived>
|
ykuroda |
0:13a5d365ba16
|
529
|
template<typename OtherDerived>
|
ykuroda |
0:13a5d365ba16
|
530
|
inline Derived&
|
ykuroda |
0:13a5d365ba16
|
531
|
MatrixBase<Derived>::operator*=(const EigenBase<OtherDerived> &other)
|
ykuroda |
0:13a5d365ba16
|
532
|
{
|
ykuroda |
0:13a5d365ba16
|
533
|
other.derived().applyThisOnTheRight(derived());
|
ykuroda |
0:13a5d365ba16
|
534
|
return derived();
|
ykuroda |
0:13a5d365ba16
|
535
|
}
|
ykuroda |
0:13a5d365ba16
|
536
|
|
ykuroda |
0:13a5d365ba16
|
537
|
/** replaces \c *this by \c *this * \a other. It is equivalent to MatrixBase::operator*=().
|
ykuroda |
0:13a5d365ba16
|
538
|
*
|
ykuroda |
0:13a5d365ba16
|
539
|
* Example: \include MatrixBase_applyOnTheRight.cpp
|
ykuroda |
0:13a5d365ba16
|
540
|
* Output: \verbinclude MatrixBase_applyOnTheRight.out
|
ykuroda |
0:13a5d365ba16
|
541
|
*/
|
ykuroda |
0:13a5d365ba16
|
542
|
template<typename Derived>
|
ykuroda |
0:13a5d365ba16
|
543
|
template<typename OtherDerived>
|
ykuroda |
0:13a5d365ba16
|
544
|
inline void MatrixBase<Derived>::applyOnTheRight(const EigenBase<OtherDerived> &other)
|
ykuroda |
0:13a5d365ba16
|
545
|
{
|
ykuroda |
0:13a5d365ba16
|
546
|
other.derived().applyThisOnTheRight(derived());
|
ykuroda |
0:13a5d365ba16
|
547
|
}
|
ykuroda |
0:13a5d365ba16
|
548
|
|
ykuroda |
0:13a5d365ba16
|
549
|
/** replaces \c *this by \a other * \c *this.
|
ykuroda |
0:13a5d365ba16
|
550
|
*
|
ykuroda |
0:13a5d365ba16
|
551
|
* Example: \include MatrixBase_applyOnTheLeft.cpp
|
ykuroda |
0:13a5d365ba16
|
552
|
* Output: \verbinclude MatrixBase_applyOnTheLeft.out
|
ykuroda |
0:13a5d365ba16
|
553
|
*/
|
ykuroda |
0:13a5d365ba16
|
554
|
template<typename Derived>
|
ykuroda |
0:13a5d365ba16
|
555
|
template<typename OtherDerived>
|
ykuroda |
0:13a5d365ba16
|
556
|
inline void MatrixBase<Derived>::applyOnTheLeft(const EigenBase<OtherDerived> &other)
|
ykuroda |
0:13a5d365ba16
|
557
|
{
|
ykuroda |
0:13a5d365ba16
|
558
|
other.derived().applyThisOnTheLeft(derived());
|
ykuroda |
0:13a5d365ba16
|
559
|
}
|
ykuroda |
0:13a5d365ba16
|
560
|
|
ykuroda |
0:13a5d365ba16
|
561
|
} // end namespace Eigen
|
ykuroda |
0:13a5d365ba16
|
562
|
|
ykuroda |
0:13a5d365ba16
|
563
|
#endif // EIGEN_MATRIXBASE_H |