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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
+//
+// 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/.
+
+// This file is a base class plugin containing common coefficient wise functions.
+
+#ifndef EIGEN_PARSED_BY_DOXYGEN
+
+/** \internal Represents a scalar multiple of an expression */
+typedef CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, const Derived> ScalarMultipleReturnType;
+/** \internal Represents a quotient of an expression by a scalar*/
+typedef CwiseUnaryOp<internal::scalar_quotient1_op<Scalar>, const Derived> ScalarQuotient1ReturnType;
+/** \internal the return type of conjugate() */
+typedef typename internal::conditional<NumTraits<Scalar>::IsComplex,
+ const CwiseUnaryOp<internal::scalar_conjugate_op<Scalar>, const Derived>,
+ const Derived&
+ >::type ConjugateReturnType;
+/** \internal the return type of real() const */
+typedef typename internal::conditional<NumTraits<Scalar>::IsComplex,
+ const CwiseUnaryOp<internal::scalar_real_op<Scalar>, const Derived>,
+ const Derived&
+ >::type RealReturnType;
+/** \internal the return type of real() */
+typedef typename internal::conditional<NumTraits<Scalar>::IsComplex,
+ CwiseUnaryView<internal::scalar_real_ref_op<Scalar>, Derived>,
+ Derived&
+ >::type NonConstRealReturnType;
+/** \internal the return type of imag() const */
+typedef CwiseUnaryOp<internal::scalar_imag_op<Scalar>, const Derived> ImagReturnType;
+/** \internal the return type of imag() */
+typedef CwiseUnaryView<internal::scalar_imag_ref_op<Scalar>, Derived> NonConstImagReturnType;
+
+#endif // not EIGEN_PARSED_BY_DOXYGEN
+
+/** \returns an expression of the opposite of \c *this
+ */
+inline const CwiseUnaryOp<internal::scalar_opposite_op<typename internal::traits<Derived>::Scalar>, const Derived>
+operator-() const { return derived(); }
+
+
+/** \returns an expression of \c *this scaled by the scalar factor \a scalar */
+inline const ScalarMultipleReturnType
+operator*(const Scalar& scalar) const
+{
+ return CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, const Derived>
+ (derived(), internal::scalar_multiple_op<Scalar>(scalar));
+}
+
+#ifdef EIGEN_PARSED_BY_DOXYGEN
+const ScalarMultipleReturnType operator*(const RealScalar& scalar) const;
+#endif
+
+/** \returns an expression of \c *this divided by the scalar value \a scalar */
+inline const CwiseUnaryOp<internal::scalar_quotient1_op<typename internal::traits<Derived>::Scalar>, const Derived>
+operator/(const Scalar& scalar) const
+{
+ return CwiseUnaryOp<internal::scalar_quotient1_op<Scalar>, const Derived>
+ (derived(), internal::scalar_quotient1_op<Scalar>(scalar));
+}
+
+/** Overloaded for efficient real matrix times complex scalar value */
+inline const CwiseUnaryOp<internal::scalar_multiple2_op<Scalar,std::complex<Scalar> >, const Derived>
+operator*(const std::complex<Scalar>& scalar) const
+{
+ return CwiseUnaryOp<internal::scalar_multiple2_op<Scalar,std::complex<Scalar> >, const Derived>
+ (*static_cast<const Derived*>(this), internal::scalar_multiple2_op<Scalar,std::complex<Scalar> >(scalar));
+}
+
+inline friend const ScalarMultipleReturnType
+operator*(const Scalar& scalar, const StorageBaseType& matrix)
+{ return matrix*scalar; }
+
+inline friend const CwiseUnaryOp<internal::scalar_multiple2_op<Scalar,std::complex<Scalar> >, const Derived>
+operator*(const std::complex<Scalar>& scalar, const StorageBaseType& matrix)
+{ return matrix*scalar; }
+
+/** \returns an expression of *this with the \a Scalar type casted to
+ * \a NewScalar.
+ *
+ * The template parameter \a NewScalar is the type we are casting the scalars to.
+ *
+ * \sa class CwiseUnaryOp
+ */
+template<typename NewType>
+typename internal::cast_return_type<Derived,const CwiseUnaryOp<internal::scalar_cast_op<typename internal::traits<Derived>::Scalar, NewType>, const Derived> >::type
+cast() const
+{
+ return derived();
+}
+
+/** \returns an expression of the complex conjugate of \c *this.
+ *
+ * \sa adjoint() */
+inline ConjugateReturnType
+conjugate() const
+{
+ return ConjugateReturnType(derived());
+}
+
+/** \returns a read-only expression of the real part of \c *this.
+ *
+ * \sa imag() */
+inline RealReturnType
+real() const { return derived(); }
+
+/** \returns an read-only expression of the imaginary part of \c *this.
+ *
+ * \sa real() */
+inline const ImagReturnType
+imag() const { return derived(); }
+
+/** \brief Apply a unary operator coefficient-wise
+ * \param[in] func Functor implementing the unary operator
+ * \tparam CustomUnaryOp Type of \a func
+ * \returns An expression of a custom coefficient-wise unary operator \a func of *this
+ *
+ * The function \c ptr_fun() from the C++ standard library can be used to make functors out of normal functions.
+ *
+ * Example:
+ * \include class_CwiseUnaryOp_ptrfun.cpp
+ * Output: \verbinclude class_CwiseUnaryOp_ptrfun.out
+ *
+ * Genuine functors allow for more possibilities, for instance it may contain a state.
+ *
+ * Example:
+ * \include class_CwiseUnaryOp.cpp
+ * Output: \verbinclude class_CwiseUnaryOp.out
+ *
+ * \sa class CwiseUnaryOp, class CwiseBinaryOp
+ */
+template<typename CustomUnaryOp>
+inline const CwiseUnaryOp<CustomUnaryOp, const Derived>
+unaryExpr(const CustomUnaryOp& func = CustomUnaryOp()) const
+{
+ return CwiseUnaryOp<CustomUnaryOp, const Derived>(derived(), func);
+}
+
+/** \returns an expression of a custom coefficient-wise unary operator \a func of *this
+ *
+ * The template parameter \a CustomUnaryOp is the type of the functor
+ * of the custom unary operator.
+ *
+ * Example:
+ * \include class_CwiseUnaryOp.cpp
+ * Output: \verbinclude class_CwiseUnaryOp.out
+ *
+ * \sa class CwiseUnaryOp, class CwiseBinaryOp
+ */
+template<typename CustomViewOp>
+inline const CwiseUnaryView<CustomViewOp, const Derived>
+unaryViewExpr(const CustomViewOp& func = CustomViewOp()) const
+{
+ return CwiseUnaryView<CustomViewOp, const Derived>(derived(), func);
+}
+
+/** \returns a non const expression of the real part of \c *this.
+ *
+ * \sa imag() */
+inline NonConstRealReturnType
+real() { return derived(); }
+
+/** \returns a non const expression of the imaginary part of \c *this.
+ *
+ * \sa real() */
+inline NonConstImagReturnType
+imag() { return derived(); }