MatrixCwiseBinaryOps.inc

// 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));
}