|  | // 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_DEVICE_FUNC EIGEN_STRONG_INLINE const EIGEN_CWISE_BINARY_RETURN_TYPE(Derived, OtherDerived, product) | 
|  | cwiseProduct(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived>& other) const { | 
|  | return EIGEN_CWISE_BINARY_RETURN_TYPE(Derived, OtherDerived, product)(derived(), other.derived()); | 
|  | } | 
|  |  | 
|  | template <typename OtherDerived> | 
|  | using CwiseBinaryEqualReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_EQ>, const Derived, const OtherDerived>; | 
|  | template <typename OtherDerived> | 
|  | using CwiseBinaryNotEqualReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_NEQ>, const Derived, const OtherDerived>; | 
|  | template <typename OtherDerived> | 
|  | using CwiseBinaryLessReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_LT>, const Derived, const OtherDerived>; | 
|  | template <typename OtherDerived> | 
|  | using CwiseBinaryGreaterReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_GT>, const Derived, const OtherDerived>; | 
|  | template <typename OtherDerived> | 
|  | using CwiseBinaryLessOrEqualReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_LE>, const Derived, const OtherDerived>; | 
|  | template <typename OtherDerived> | 
|  | using CwiseBinaryGreaterOrEqualReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_GE>, const Derived, const OtherDerived>; | 
|  |  | 
|  | /** \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> | 
|  | EIGEN_DEVICE_FUNC inline const CwiseBinaryEqualReturnType<OtherDerived> cwiseEqual( | 
|  | const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived>& other) const { | 
|  | return CwiseBinaryEqualReturnType<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> | 
|  | EIGEN_DEVICE_FUNC inline const CwiseBinaryNotEqualReturnType<OtherDerived> cwiseNotEqual( | 
|  | const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived>& other) const { | 
|  | return CwiseBinaryNotEqualReturnType<OtherDerived>(derived(), other.derived()); | 
|  | } | 
|  |  | 
|  | /** \returns an expression of the coefficient-wise < operator of *this and \a other */ | 
|  | template <typename OtherDerived> | 
|  | EIGEN_DEVICE_FUNC inline const CwiseBinaryLessReturnType<OtherDerived> cwiseLess( | 
|  | const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived>& other) const { | 
|  | return CwiseBinaryLessReturnType<OtherDerived>(derived(), other.derived()); | 
|  | } | 
|  |  | 
|  | /** \returns an expression of the coefficient-wise > operator of *this and \a other */ | 
|  | template <typename OtherDerived> | 
|  | EIGEN_DEVICE_FUNC inline const CwiseBinaryGreaterReturnType<OtherDerived> cwiseGreater( | 
|  | const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived>& other) const { | 
|  | return CwiseBinaryGreaterReturnType<OtherDerived>(derived(), other.derived()); | 
|  | } | 
|  |  | 
|  | /** \returns an expression of the coefficient-wise <= operator of *this and \a other */ | 
|  | template <typename OtherDerived> | 
|  | EIGEN_DEVICE_FUNC inline const CwiseBinaryLessOrEqualReturnType<OtherDerived> cwiseLessOrEqual( | 
|  | const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived>& other) const { | 
|  | return CwiseBinaryLessOrEqualReturnType<OtherDerived>(derived(), other.derived()); | 
|  | } | 
|  |  | 
|  | /** \returns an expression of the coefficient-wise >= operator of *this and \a other */ | 
|  | template <typename OtherDerived> | 
|  | EIGEN_DEVICE_FUNC inline const CwiseBinaryGreaterOrEqualReturnType<OtherDerived> cwiseGreaterOrEqual( | 
|  | const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived>& other) const { | 
|  | return CwiseBinaryGreaterOrEqualReturnType<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 <int NaNPropagation = PropagateFast, typename OtherDerived> | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const | 
|  | CwiseBinaryOp<internal::scalar_min_op<Scalar, Scalar, NaNPropagation>, const Derived, const OtherDerived> | 
|  | cwiseMin(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived>& other) const { | 
|  | return CwiseBinaryOp<internal::scalar_min_op<Scalar, Scalar, NaNPropagation>, 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() | 
|  | */ | 
|  | template <int NaNPropagation = PropagateFast> | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const | 
|  | CwiseBinaryOp<internal::scalar_min_op<Scalar, Scalar, NaNPropagation>, const Derived, const ConstantReturnType> | 
|  | cwiseMin(const Scalar& other) const { | 
|  | return cwiseMin<NaNPropagation>(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 <int NaNPropagation = PropagateFast, typename OtherDerived> | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const | 
|  | CwiseBinaryOp<internal::scalar_max_op<Scalar, Scalar, NaNPropagation>, const Derived, const OtherDerived> | 
|  | cwiseMax(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived>& other) const { | 
|  | return CwiseBinaryOp<internal::scalar_max_op<Scalar, Scalar, NaNPropagation>, 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() | 
|  | */ | 
|  | template <int NaNPropagation = PropagateFast> | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const | 
|  | CwiseBinaryOp<internal::scalar_max_op<Scalar, Scalar, NaNPropagation>, const Derived, const ConstantReturnType> | 
|  | cwiseMax(const Scalar& other) const { | 
|  | return cwiseMax<NaNPropagation>(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_DEVICE_FUNC 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()); | 
|  | } | 
|  |  | 
|  | using CwiseScalarEqualReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_EQ>, const Derived, const ConstantReturnType>; | 
|  | using CwiseScalarNotEqualReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_NEQ>, const Derived, const ConstantReturnType>; | 
|  | using CwiseScalarLessReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_LT>, const Derived, const ConstantReturnType>; | 
|  | using CwiseScalarGreaterReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_GT>, const Derived, const ConstantReturnType>; | 
|  | using CwiseScalarLessOrEqualReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_LE>, const Derived, const ConstantReturnType>; | 
|  | using CwiseScalarGreaterOrEqualReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_GE>, const Derived, const ConstantReturnType>; | 
|  |  | 
|  | /** \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 | 
|  | */ | 
|  | EIGEN_DEVICE_FUNC inline const CwiseScalarEqualReturnType cwiseEqual(const Scalar& s) const { | 
|  | return CwiseScalarEqualReturnType(derived(), Derived::Constant(rows(), cols(), s)); | 
|  | } | 
|  |  | 
|  | /** \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 | 
|  | */ | 
|  | EIGEN_DEVICE_FUNC inline const CwiseScalarNotEqualReturnType cwiseNotEqual(const Scalar& s) const { | 
|  | return CwiseScalarNotEqualReturnType(derived(), Derived::Constant(rows(), cols(), s)); | 
|  | } | 
|  |  | 
|  | /** \returns an expression of the coefficient-wise < operator of \c *this and a scalar \a s */ | 
|  | EIGEN_DEVICE_FUNC inline const CwiseScalarLessReturnType cwiseLess(const Scalar& s) const { | 
|  | return CwiseScalarLessReturnType(derived(), Derived::Constant(rows(), cols(), s)); | 
|  | } | 
|  |  | 
|  | /** \returns an expression of the coefficient-wise > operator of \c *this and a scalar \a s */ | 
|  | EIGEN_DEVICE_FUNC inline const CwiseScalarGreaterReturnType cwiseGreater(const Scalar& s) const { | 
|  | return CwiseScalarGreaterReturnType(derived(), Derived::Constant(rows(), cols(), s)); | 
|  | } | 
|  |  | 
|  | /** \returns an expression of the coefficient-wise <= operator of \c *this and a scalar \a s */ | 
|  | EIGEN_DEVICE_FUNC inline const CwiseScalarLessOrEqualReturnType cwiseLessOrEqual(const Scalar& s) const { | 
|  | return CwiseScalarLessOrEqualReturnType(derived(), Derived::Constant(rows(), cols(), s)); | 
|  | } | 
|  |  | 
|  | /** \returns an expression of the coefficient-wise >= operator of \c *this and a scalar \a s */ | 
|  | EIGEN_DEVICE_FUNC inline const CwiseScalarGreaterOrEqualReturnType cwiseGreaterOrEqual(const Scalar& s) const { | 
|  | return CwiseScalarGreaterOrEqualReturnType(derived(), Derived::Constant(rows(), cols(), s)); | 
|  | } | 
|  |  | 
|  | template <typename OtherDerived> | 
|  | using CwiseBinaryTypedEqualReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_EQ, true>, const Derived, const OtherDerived>; | 
|  | template <typename OtherDerived> | 
|  | using CwiseBinaryTypedNotEqualReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_NEQ, true>, const Derived, const OtherDerived>; | 
|  | template <typename OtherDerived> | 
|  | using CwiseBinaryTypedLessReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_LT, true>, const Derived, const OtherDerived>; | 
|  | template <typename OtherDerived> | 
|  | using CwiseBinaryTypedGreaterReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_GT, true>, const Derived, const OtherDerived>; | 
|  | template <typename OtherDerived> | 
|  | using CwiseBinaryTypedLessOrEqualReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_LE, true>, const Derived, const OtherDerived>; | 
|  | template <typename OtherDerived> | 
|  | using CwiseBinaryTypedGreaterOrEqualReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_GE, true>, const Derived, const OtherDerived>; | 
|  |  | 
|  | template <typename OtherDerived> | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseBinaryTypedEqualReturnType<OtherDerived> cwiseTypedEqual( | 
|  | const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived>& other) const { | 
|  | return CwiseBinaryTypedEqualReturnType<OtherDerived>(derived(), other.derived()); | 
|  | } | 
|  |  | 
|  | template <typename OtherDerived> | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseBinaryTypedNotEqualReturnType<OtherDerived> cwiseTypedNotEqual( | 
|  | const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived>& other) const { | 
|  | return CwiseBinaryTypedNotEqualReturnType<OtherDerived>(derived(), other.derived()); | 
|  | } | 
|  |  | 
|  | template <typename OtherDerived> | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseBinaryTypedLessReturnType<OtherDerived> cwiseTypedLess( | 
|  | const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived>& other) const { | 
|  | return CwiseBinaryTypedLessReturnType<OtherDerived>(derived(), other.derived()); | 
|  | } | 
|  |  | 
|  | template <typename OtherDerived> | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseBinaryTypedGreaterReturnType<OtherDerived> cwiseTypedGreater( | 
|  | const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived>& other) const { | 
|  | return CwiseBinaryTypedGreaterReturnType<OtherDerived>(derived(), other.derived()); | 
|  | } | 
|  |  | 
|  | template <typename OtherDerived> | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseBinaryTypedLessOrEqualReturnType<OtherDerived> cwiseTypedLessOrEqual( | 
|  | const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived>& other) const { | 
|  | return CwiseBinaryTypedLessOrEqualReturnType<OtherDerived>(derived(), other.derived()); | 
|  | } | 
|  |  | 
|  | template <typename OtherDerived> | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseBinaryTypedGreaterOrEqualReturnType<OtherDerived> | 
|  | cwiseTypedGreaterOrEqual(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived>& other) const { | 
|  | return CwiseBinaryTypedGreaterOrEqualReturnType<OtherDerived>(derived(), other.derived()); | 
|  | } | 
|  |  | 
|  | using CwiseScalarTypedEqualReturnType = CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_EQ, true>, | 
|  | const Derived, const ConstantReturnType>; | 
|  | using CwiseScalarTypedNotEqualReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_NEQ, true>, const Derived, | 
|  | const ConstantReturnType>; | 
|  | using CwiseScalarTypedLessReturnType = CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_LT, true>, | 
|  | const Derived, const ConstantReturnType>; | 
|  | using CwiseScalarTypedGreaterReturnType = CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_GT, true>, | 
|  | const Derived, const ConstantReturnType>; | 
|  | using CwiseScalarTypedLessOrEqualReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_LE, true>, const Derived, | 
|  | const ConstantReturnType>; | 
|  | using CwiseScalarTypedGreaterOrEqualReturnType = | 
|  | CwiseBinaryOp<internal::scalar_cmp_op<Scalar, Scalar, internal::cmp_GE, true>, const Derived, | 
|  | const ConstantReturnType>; | 
|  |  | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseScalarTypedEqualReturnType cwiseTypedEqual(const Scalar& s) const { | 
|  | return CwiseScalarTypedEqualReturnType(derived(), ConstantReturnType(rows(), cols(), s)); | 
|  | } | 
|  |  | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseScalarTypedNotEqualReturnType | 
|  | cwiseTypedNotEqual(const Scalar& s) const { | 
|  | return CwiseScalarTypedNotEqualReturnType(derived(), ConstantReturnType(rows(), cols(), s)); | 
|  | } | 
|  |  | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseScalarTypedLessReturnType cwiseTypedLess(const Scalar& s) const { | 
|  | return CwiseScalarTypedLessReturnType(derived(), ConstantReturnType(rows(), cols(), s)); | 
|  | } | 
|  |  | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseScalarTypedGreaterReturnType cwiseTypedGreater(const Scalar& s) const { | 
|  | return CwiseScalarTypedGreaterReturnType(derived(), ConstantReturnType(rows(), cols(), s)); | 
|  | } | 
|  |  | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseScalarTypedLessOrEqualReturnType | 
|  | cwiseTypedLessOrEqual(const Scalar& s) const { | 
|  | return CwiseScalarTypedLessOrEqualReturnType(derived(), ConstantReturnType(rows(), cols(), s)); | 
|  | } | 
|  |  | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseScalarTypedGreaterOrEqualReturnType | 
|  | cwiseTypedGreaterOrEqual(const Scalar& s) const { | 
|  | return CwiseScalarTypedGreaterOrEqualReturnType(derived(), ConstantReturnType(rows(), cols(), s)); | 
|  | } |