eigen/Eigen/src/Core/CwiseBinaryOp.h

// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008-2009 Gael Guennebaud <g.gael@free.fr>
// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
//
// Eigen is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 3 of the License, or (at your option) any later version.
//
// Alternatively, you can redistribute it and/or
// modify it under the terms of the GNU General Public License as
// published by the Free Software Foundation; either version 2 of
// the License, or (at your option) any later version.
//
// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License and a copy of the GNU General Public License along with
// Eigen. If not, see <http://www.gnu.org/licenses/>.

#ifndef EIGEN_CWISE_BINARY_OP_H
#define EIGEN_CWISE_BINARY_OP_H

/** \class CwiseBinaryOp
  *
  * \brief Generic expression of a coefficient-wise operator between two matrices or vectors
  *
  * \param BinaryOp template functor implementing the operator
  * \param Lhs the type of the left-hand side
  * \param Rhs the type of the right-hand side
  *
  * This class represents an expression of a generic binary operator of two matrices or vectors.
  * It is the return type of the operator+, operator-, and the Cwise methods, and most
  * of the time this is the only way it is used.
  *
  * However, if you want to write a function returning such an expression, you
  * will need to use this class.
  *
  * \sa MatrixBase::binaryExpr(const MatrixBase<OtherDerived> &,const CustomBinaryOp &) const, class CwiseUnaryOp, class CwiseNullaryOp
  */
template<typename BinaryOp, typename Lhs, typename Rhs>
struct ei_traits<CwiseBinaryOp<BinaryOp, Lhs, Rhs> > : ei_traits<Lhs>
{
  // even though we require Lhs and Rhs to have the same scalar type (see CwiseBinaryOp constructor),
  // we still want to handle the case when the result type is different.
  typedef typename ei_result_of<
                     BinaryOp(
                       typename Lhs::Scalar,
                       typename Rhs::Scalar
                     )
                   >::type Scalar;
  typedef typename ei_promote_storage_type<typename ei_traits<Lhs>::StorageType,
                                           typename ei_traits<Rhs>::StorageType>::ret StorageType;
  typedef typename Lhs::Nested LhsNested;
  typedef typename Rhs::Nested RhsNested;
  typedef typename ei_unref<LhsNested>::type _LhsNested;
  typedef typename ei_unref<RhsNested>::type _RhsNested;
  enum {
    LhsCoeffReadCost = _LhsNested::CoeffReadCost,
    RhsCoeffReadCost = _RhsNested::CoeffReadCost,
    LhsFlags = _LhsNested::Flags,
    RhsFlags = _RhsNested::Flags,
    Flags = (int(LhsFlags) | int(RhsFlags)) & (
        HereditaryBits
      | (int(LhsFlags) & int(RhsFlags) & (LinearAccessBit | AlignedBit))
      | (ei_functor_traits<BinaryOp>::PacketAccess && ((int(LhsFlags) & RowMajorBit)==(int(RhsFlags) & RowMajorBit))
        ? (int(LhsFlags) & int(RhsFlags) & PacketAccessBit) : 0)),
    CoeffReadCost = LhsCoeffReadCost + RhsCoeffReadCost + ei_functor_traits<BinaryOp>::Cost
  };
};

template<typename BinaryOp, typename Lhs, typename Rhs, typename StorageType>
class CwiseBinaryOpImpl;

template<typename BinaryOp, typename Lhs, typename Rhs>
class CwiseBinaryOp : ei_no_assignment_operator,
  public CwiseBinaryOpImpl<
          BinaryOp, Lhs, Rhs,
          typename ei_promote_storage_type<typename ei_traits<Lhs>::StorageType,
                                           typename ei_traits<Rhs>::StorageType>::ret>
{
  public:

    typedef typename CwiseBinaryOpImpl<
        BinaryOp, Lhs, Rhs,
        typename ei_promote_storage_type<typename ei_traits<Lhs>::StorageType,
                                         typename ei_traits<Rhs>::StorageType>::ret>::Base Base;
    EIGEN_GENERIC_PUBLIC_INTERFACE_NEW(CwiseBinaryOp)

    typedef typename ei_traits<CwiseBinaryOp>::LhsNested LhsNested;
    typedef typename ei_traits<CwiseBinaryOp>::RhsNested RhsNested;
    typedef typename ei_traits<CwiseBinaryOp>::_LhsNested _LhsNested;
    typedef typename ei_traits<CwiseBinaryOp>::_RhsNested _RhsNested;

    EIGEN_STRONG_INLINE CwiseBinaryOp(const Lhs& lhs, const Rhs& rhs, const BinaryOp& func = BinaryOp())
      : m_lhs(lhs), m_rhs(rhs), m_functor(func)
    {
      // we require Lhs and Rhs to have the same scalar type. Currently there is no example of a binary functor
      // that would take two operands of different types. If there were such an example, then this check should be
      // moved to the BinaryOp functors, on a per-case basis. This would however require a change in the BinaryOp functors, as
      // currently they take only one typename Scalar template parameter.
      // It is tempting to always allow mixing different types but remember that this is often impossible in the vectorized paths.
      // So allowing mixing different types gives very unexpected errors when enabling vectorization, when the user tries to
      // add together a float matrix and a double matrix.
      EIGEN_STATIC_ASSERT((ei_functor_allows_mixing_real_and_complex<BinaryOp>::ret
                           ? int(ei_is_same_type<typename Lhs::RealScalar, typename Rhs::RealScalar>::ret)
                           : int(ei_is_same_type<typename Lhs::Scalar, typename Rhs::Scalar>::ret)),
        YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY)
      // require the sizes to match
      EIGEN_STATIC_ASSERT_SAME_MATRIX_SIZE(Lhs, Rhs)
      ei_assert(lhs.rows() == rhs.rows() && lhs.cols() == rhs.cols());
    }

    EIGEN_STRONG_INLINE int rows() const { return m_lhs.rows(); }
    EIGEN_STRONG_INLINE int cols() const { return m_lhs.cols(); }

    const _LhsNested& lhs() const { return m_lhs; }
    const _RhsNested& rhs() const { return m_rhs; }
    const BinaryOp& functor() const { return m_functor; }

  protected:
    const LhsNested m_lhs;
    const RhsNested m_rhs;
    const BinaryOp m_functor;
};

template<typename BinaryOp, typename Lhs, typename Rhs>
class CwiseBinaryOpImpl<BinaryOp, Lhs, Rhs, Dense>
  : public Lhs::template MakeBase< CwiseBinaryOp<BinaryOp, Lhs, Rhs> >::Type
{
  public:

    typedef CwiseBinaryOp<BinaryOp, Lhs, Rhs> Derived;
    typedef typename Lhs::template MakeBase< CwiseBinaryOp<BinaryOp, Lhs, Rhs> >::Type Base;
    _EIGEN_DENSE_PUBLIC_INTERFACE( Derived )

    EIGEN_STRONG_INLINE const Scalar coeff(int row, int col) const
    {
      return derived().functor()(derived().lhs().coeff(row, col),
                                 derived().rhs().coeff(row, col));
    }

    template<int LoadMode>
    EIGEN_STRONG_INLINE PacketScalar packet(int row, int col) const
    {
      return derived().functor().packetOp(derived().lhs().template packet<LoadMode>(row, col),
                                          derived().rhs().template packet<LoadMode>(row, col));
    }

    EIGEN_STRONG_INLINE const Scalar coeff(int index) const
    {
      return derived().functor()(derived().lhs().coeff(index),
                                 derived().rhs().coeff(index));
    }

    template<int LoadMode>
    EIGEN_STRONG_INLINE PacketScalar packet(int index) const
    {
      return derived().functor().packetOp(derived().lhs().template packet<LoadMode>(index),
                                          derived().rhs().template packet<LoadMode>(index));
    }
};

/** replaces \c *this by \c *this - \a other.
  *
  * \returns a reference to \c *this
  */
template<typename Derived>
template<typename OtherDerived>
EIGEN_STRONG_INLINE Derived &
MatrixBase<Derived>::operator-=(const MatrixBase<OtherDerived> &other)
{
  SelfCwiseBinaryOp<ei_scalar_difference_op<Scalar>, Derived> tmp(derived());
  tmp = other;
  return derived();
}

/** replaces \c *this by \c *this + \a other.
  *
  * \returns a reference to \c *this
  */
template<typename Derived>
template<typename OtherDerived>
EIGEN_STRONG_INLINE Derived &
MatrixBase<Derived>::operator+=(const MatrixBase<OtherDerived>& other)
{
  SelfCwiseBinaryOp<ei_scalar_sum_op<Scalar>, Derived> tmp(derived());
  tmp = other.derived();
  return derived();
}

#endif // EIGEN_CWISE_BINARY_OP_H