text: // 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 matrix specifics coefficient wise functions.
  
  /** \returns an expression of the Schur product (coefficient wise product) of *this and \a other
    *
    * Example: \include MatrixBase_cwiseProduct.cpp
    * Output: \verbinclude MatrixBase_cwiseProduct.out
    *
    * \sa class CwiseBinaryOp, cwiseAbs2
    */
  template<typename OtherDerived>
  EIGEN_STRONG_INLINE const EIGEN_CWISE_PRODUCT_RETURN_TYPE(Derived, OtherDerived)
  
  cwiseProduct(const EIGEN_CURRENT_STORAGE_BASE_CLASS <OtherDerived> &other) const {
    return EIGEN_CWISE_PRODUCT_RETURN_TYPE(Derived, OtherDerived)(derived(), other.derived());
  }
  
  /** \returns an expression of the coefficient-wise == operator of *this and \a other
    *
    * \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
    * In order to check for equality between two vectors or matrices with floating-point coefficients, it is
    * generally a far better idea to use a fuzzy comparison as provided by isApprox() and
    * isMuchSmallerThan().
    *
    * Example: \include MatrixBase_cwiseEqual.cpp
    * Output: \verbinclude MatrixBase_cwiseEqual.out
    *
    * \sa cwiseNotEqual(), isApprox(), isMuchSmallerThan()
    */
  template<typename OtherDerived>
  inline const CwiseBinaryOp<std::equal_to<Scalar>, const Derived, const OtherDerived>
  cwiseEqual(const EIGEN_CURRENT_STORAGE_BASE_CLASS <OtherDerived> &other) const {
    return CwiseBinaryOp < std::equal_to < Scalar > ,
    const Derived, const OtherDerived>(derived(), other.derived());
  }
  
  /** \returns an expression of the coefficient-wise != operator of *this and \a other
    *
    * \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
    * In order to check for equality between two vectors or matrices with floating-point coefficients, it is
    * generally a far better idea to use a fuzzy comparison as provided by isApprox() and
    * isMuchSmallerThan().
    *
    * Example: \include MatrixBase_cwiseNotEqual.cpp
    * Output: \verbinclude MatrixBase_cwiseNotEqual.out
    *
    * \sa cwiseEqual(), isApprox(), isMuchSmallerThan()
    */
  template<typename OtherDerived>
  inline const CwiseBinaryOp<std::not_equal_to<Scalar>, const Derived, const OtherDerived>
  cwiseNotEqual(const EIGEN_CURRENT_STORAGE_BASE_CLASS <OtherDerived> &other) const {
    return CwiseBinaryOp < std::not_equal_to < Scalar > ,
    const Derived, const OtherDerived>(derived(), other.derived());
  }
  
  /** \returns an expression of the coefficient-wise min of *this and \a other
    *
    * Example: \include MatrixBase_cwiseMin.cpp
    * Output: \verbinclude MatrixBase_cwiseMin.out
    *
    * \sa class CwiseBinaryOp, max()
    */
  template<typename OtherDerived>
  EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_min_op < Scalar>,
  const Derived, const OtherDerived>
  
  cwiseMin(const EIGEN_CURRENT_STORAGE_BASE_CLASS <OtherDerived> &other) const {
    return CwiseBinaryOp<internal::scalar_min_op < Scalar>,
    const Derived, const OtherDerived>(derived(), other.derived());
  }
  
  /** \returns an expression of the coefficient-wise min of *this and scalar \a other
    *
    * \sa class CwiseBinaryOp, min()
    */
  EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_min_op < Scalar>,
  const Derived, const ConstantReturnType>
  
  cwiseMin(const Scalar &other) const {
    return cwiseMin(Derived::Constant(rows(), cols(), other));
  }
  
  /** \returns an expression of the coefficient-wise max of *this and \a other
    *
    * Example: \include MatrixBase_cwiseMax.cpp
    * Output: \verbinclude MatrixBase_cwiseMax.out
    *
    * \sa class CwiseBinaryOp, min()
    */
  template<typename OtherDerived>
  EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_max_op < Scalar>,
  const Derived, const OtherDerived>
  
  cwiseMax(const EIGEN_CURRENT_STORAGE_BASE_CLASS <OtherDerived> &other) const {
    return CwiseBinaryOp<internal::scalar_max_op < Scalar>,
    const Derived, const OtherDerived>(derived(), other.derived());
  }
  
  /** \returns an expression of the coefficient-wise max of *this and scalar \a other
    *
    * \sa class CwiseBinaryOp, min()
    */
  EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_max_op < Scalar>,
  const Derived, const ConstantReturnType>
  
  cwiseMax(const Scalar &other) const {
    return cwiseMax(Derived::Constant(rows(), cols(), other));
  }
  
  
  /** \returns an expression of the coefficient-wise quotient of *this and \a other
    *
    * Example: \include MatrixBase_cwiseQuotient.cpp
    * Output: \verbinclude MatrixBase_cwiseQuotient.out
    *
    * \sa class CwiseBinaryOp, cwiseProduct(), cwiseInverse()
    */
  template<typename OtherDerived>
  EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_quotient_op < Scalar>,
  const Derived, const OtherDerived>
  
  cwiseQuotient(const EIGEN_CURRENT_STORAGE_BASE_CLASS <OtherDerived> &other) const {
    return CwiseBinaryOp<internal::scalar_quotient_op < Scalar>,
    const Derived, const OtherDerived>(derived(), other.derived());
  }
  
  typedef CwiseBinaryOp<internal::scalar_cmp_op < Scalar, internal::cmp_EQ>, const Derived, const ConstantReturnType>
  CwiseScalarEqualReturnType;
  
  /** \returns an expression of the coefficient-wise == operator of \c *this and a scalar \a s
    *
    * \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
    * In order to check for equality between two vectors or matrices with floating-point coefficients, it is
    * generally a far better idea to use a fuzzy comparison as provided by isApprox() and
    * isMuchSmallerThan().
    *
    * \sa cwiseEqual(const MatrixBase<OtherDerived> &) const
    */
  inline const CwiseScalarEqualReturnType
  cwiseEqual(const Scalar &s) const {
    return CwiseScalarEqualReturnType(derived(), Derived::Constant(rows(), cols(), s),
                                      internal::scalar_cmp_op<Scalar, internal::cmp_EQ>());
  }
  