| // This file is part of Eigen, a lightweight C++ template library | 
 | // for linear algebra. | 
 | // | 
 | // Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr> | 
 | // | 
 | // This Source Code Form is subject to the terms of the Mozilla | 
 | // Public License v. 2.0. If a copy of the MPL was not distributed | 
 | // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. | 
 |  | 
 | #ifndef EIGEN_NOALIAS_H | 
 | #define EIGEN_NOALIAS_H | 
 |  | 
 | #include "./InternalHeaderCheck.h" | 
 |  | 
 | namespace Eigen { | 
 |  | 
 | /** \class NoAlias | 
 |   * \ingroup Core_Module | 
 |   * | 
 |   * \brief Pseudo expression providing an operator = assuming no aliasing | 
 |   * | 
 |   * \tparam ExpressionType the type of the object on which to do the lazy assignment | 
 |   * | 
 |   * This class represents an expression with special assignment operators | 
 |   * assuming no aliasing between the target expression and the source expression. | 
 |   * More precisely it alloas to bypass the EvalBeforeAssignBit flag of the source expression. | 
 |   * It is the return type of MatrixBase::noalias() | 
 |   * and most of the time this is the only way it is used. | 
 |   * | 
 |   * \sa MatrixBase::noalias() | 
 |   */ | 
 | template<typename ExpressionType, template <typename> class StorageBase> | 
 | class NoAlias | 
 | { | 
 |   public: | 
 |     typedef typename ExpressionType::Scalar Scalar; | 
 |      | 
 |     EIGEN_DEVICE_FUNC | 
 |     explicit NoAlias(ExpressionType& expression) : m_expression(expression) {} | 
 |      | 
 |     template<typename OtherDerived> | 
 |     EIGEN_DEVICE_FUNC | 
 |     EIGEN_STRONG_INLINE ExpressionType& operator=(const StorageBase<OtherDerived>& other) | 
 |     { | 
 |       call_assignment_no_alias(m_expression, other.derived(), internal::assign_op<Scalar,typename OtherDerived::Scalar>()); | 
 |       return m_expression; | 
 |     } | 
 |      | 
 |     template<typename OtherDerived> | 
 |     EIGEN_DEVICE_FUNC | 
 |     EIGEN_STRONG_INLINE ExpressionType& operator+=(const StorageBase<OtherDerived>& other) | 
 |     { | 
 |       call_assignment_no_alias(m_expression, other.derived(), internal::add_assign_op<Scalar,typename OtherDerived::Scalar>()); | 
 |       return m_expression; | 
 |     } | 
 |      | 
 |     template<typename OtherDerived> | 
 |     EIGEN_DEVICE_FUNC | 
 |     EIGEN_STRONG_INLINE ExpressionType& operator-=(const StorageBase<OtherDerived>& other) | 
 |     { | 
 |       call_assignment_no_alias(m_expression, other.derived(), internal::sub_assign_op<Scalar,typename OtherDerived::Scalar>()); | 
 |       return m_expression; | 
 |     } | 
 |  | 
 |     EIGEN_DEVICE_FUNC | 
 |     ExpressionType& expression() const | 
 |     { | 
 |       return m_expression; | 
 |     } | 
 |  | 
 |   protected: | 
 |     ExpressionType& m_expression; | 
 | }; | 
 |  | 
 | /** \returns a pseudo expression of \c *this with an operator= assuming | 
 |   * no aliasing between \c *this and the source expression. | 
 |   * | 
 |   * More precisely, noalias() allows to bypass the EvalBeforeAssignBit flag. | 
 |   * Currently, even though several expressions may alias, only product | 
 |   * expressions have this flag. Therefore, noalias() is only useful when | 
 |   * the source expression contains a matrix product. | 
 |   * | 
 |   * Here are some examples where noalias is useful: | 
 |   * \code | 
 |   * D.noalias()  = A * B; | 
 |   * D.noalias() += A.transpose() * B; | 
 |   * D.noalias() -= 2 * A * B.adjoint(); | 
 |   * \endcode | 
 |   * | 
 |   * On the other hand the following example will lead to a \b wrong result: | 
 |   * \code | 
 |   * A.noalias() = A * B; | 
 |   * \endcode | 
 |   * because the result matrix A is also an operand of the matrix product. Therefore, | 
 |   * there is no alternative than evaluating A * B in a temporary, that is the default | 
 |   * behavior when you write: | 
 |   * \code | 
 |   * A = A * B; | 
 |   * \endcode | 
 |   * | 
 |   * \sa class NoAlias | 
 |   */ | 
 | template<typename Derived> | 
 | NoAlias<Derived,MatrixBase> EIGEN_DEVICE_FUNC MatrixBase<Derived>::noalias() | 
 | { | 
 |   return NoAlias<Derived, Eigen::MatrixBase >(derived()); | 
 | } | 
 |  | 
 | } // end namespace Eigen | 
 |  | 
 | #endif // EIGEN_NOALIAS_H |