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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/.
+
+#ifndef EIGEN_CWISE_BINARY_OP_H
+#define EIGEN_CWISE_BINARY_OP_H
+
+namespace Eigen {
+
+/** \class CwiseBinaryOp
+ * \ingroup Core_Module
+ *
+ * \brief Generic expression where a coefficient-wise binary operator is applied to two expressions
+ *
+ * \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 where a coefficient-wise binary operator is applied to two expressions.
+ * It is the return type of binary operators, by which we mean only those binary operators where
+ * both the left-hand side and the right-hand side are Eigen expressions.
+ * For example, the return type of matrix1+matrix2 is a CwiseBinaryOp.
+ *
+ * Most of the time, this is the only way that it is used, so you typically don't have to name
+ * CwiseBinaryOp types explicitly.
+ *
+ * \sa MatrixBase::binaryExpr(const MatrixBase<OtherDerived> &,const CustomBinaryOp &) const, class CwiseUnaryOp, class CwiseNullaryOp
+ */
+
+namespace internal {
+template<typename BinaryOp, typename Lhs, typename Rhs>
+struct traits<CwiseBinaryOp<BinaryOp, Lhs, Rhs> >
+{
+ // we must not inherit from traits<Lhs> since it has
+ // the potential to cause problems with MSVC
+ typedef typename remove_all<Lhs>::type Ancestor;
+ typedef typename traits<Ancestor>::XprKind XprKind;
+ enum {
+ RowsAtCompileTime = traits<Ancestor>::RowsAtCompileTime,
+ ColsAtCompileTime = traits<Ancestor>::ColsAtCompileTime,
+ MaxRowsAtCompileTime = traits<Ancestor>::MaxRowsAtCompileTime,
+ MaxColsAtCompileTime = traits<Ancestor>::MaxColsAtCompileTime
+ };
+
+ // 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 result_of<
+ BinaryOp(
+ typename Lhs::Scalar,
+ typename Rhs::Scalar
+ )
+ >::type Scalar;
+ typedef typename promote_storage_type<typename traits<Lhs>::StorageKind,
+ typename traits<Rhs>::StorageKind>::ret StorageKind;
+ typedef typename promote_index_type<typename traits<Lhs>::Index,
+ typename traits<Rhs>::Index>::type Index;
+ typedef typename Lhs::Nested LhsNested;
+ typedef typename Rhs::Nested RhsNested;
+ typedef typename remove_reference<LhsNested>::type _LhsNested;
+ typedef typename remove_reference<RhsNested>::type _RhsNested;
+ enum {
+ LhsCoeffReadCost = _LhsNested::CoeffReadCost,
+ RhsCoeffReadCost = _RhsNested::CoeffReadCost,
+ LhsFlags = _LhsNested::Flags,
+ RhsFlags = _RhsNested::Flags,
+ SameType = is_same<typename _LhsNested::Scalar,typename _RhsNested::Scalar>::value,
+ StorageOrdersAgree = (int(Lhs::Flags)&RowMajorBit)==(int(Rhs::Flags)&RowMajorBit),
+ Flags0 = (int(LhsFlags) | int(RhsFlags)) & (
+ HereditaryBits
+ | (int(LhsFlags) & int(RhsFlags) &
+ ( AlignedBit
+ | (StorageOrdersAgree ? LinearAccessBit : 0)
+ | (functor_traits<BinaryOp>::PacketAccess && StorageOrdersAgree && SameType ? PacketAccessBit : 0)
+ )
+ )
+ ),
+ Flags = (Flags0 & ~RowMajorBit) | (LhsFlags & RowMajorBit),
+ CoeffReadCost = LhsCoeffReadCost + RhsCoeffReadCost + functor_traits<BinaryOp>::Cost
+ };
+};
+} // end namespace internal
+
+// 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.
+#define EIGEN_CHECK_BINARY_COMPATIBILIY(BINOP,LHS,RHS) \
+ EIGEN_STATIC_ASSERT((internal::functor_is_product_like<BINOP>::ret \
+ ? int(internal::scalar_product_traits<LHS, RHS>::Defined) \
+ : int(internal::is_same<LHS, RHS>::value)), \
+ YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY)
+
+template<typename BinaryOp, typename Lhs, typename Rhs, typename StorageKind>
+class CwiseBinaryOpImpl;
+
+template<typename BinaryOp, typename Lhs, typename Rhs>
+class CwiseBinaryOp : internal::no_assignment_operator,
+ public CwiseBinaryOpImpl<
+ BinaryOp, Lhs, Rhs,
+ typename internal::promote_storage_type<typename internal::traits<Lhs>::StorageKind,
+ typename internal::traits<Rhs>::StorageKind>::ret>
+{
+ public:
+
+ typedef typename CwiseBinaryOpImpl<
+ BinaryOp, Lhs, Rhs,
+ typename internal::promote_storage_type<typename internal::traits<Lhs>::StorageKind,
+ typename internal::traits<Rhs>::StorageKind>::ret>::Base Base;
+ EIGEN_GENERIC_PUBLIC_INTERFACE(CwiseBinaryOp)
+
+ typedef typename internal::nested<Lhs>::type LhsNested;
+ typedef typename internal::nested<Rhs>::type RhsNested;
+ typedef typename internal::remove_reference<LhsNested>::type _LhsNested;
+ typedef typename internal::remove_reference<RhsNested>::type _RhsNested;
+
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE CwiseBinaryOp(const Lhs& aLhs, const Rhs& aRhs, const BinaryOp& func = BinaryOp())
+ : m_lhs(aLhs), m_rhs(aRhs), m_functor(func)
+ {
+ EIGEN_CHECK_BINARY_COMPATIBILIY(BinaryOp,typename Lhs::Scalar,typename Rhs::Scalar);
+ // require the sizes to match
+ EIGEN_STATIC_ASSERT_SAME_MATRIX_SIZE(Lhs, Rhs)
+ eigen_assert(aLhs.rows() == aRhs.rows() && aLhs.cols() == aRhs.cols());
+ }
+
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE Index rows() const {
+ // return the fixed size type if available to enable compile time optimizations
+ if (internal::traits<typename internal::remove_all<LhsNested>::type>::RowsAtCompileTime==Dynamic)
+ return m_rhs.rows();
+ else
+ return m_lhs.rows();
+ }
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE Index cols() const {
+ // return the fixed size type if available to enable compile time optimizations
+ if (internal::traits<typename internal::remove_all<LhsNested>::type>::ColsAtCompileTime==Dynamic)
+ return m_rhs.cols();
+ else
+ return m_lhs.cols();
+ }
+
+ /** \returns the left hand side nested expression */
+ EIGEN_DEVICE_FUNC
+ const _LhsNested& lhs() const { return m_lhs; }
+ /** \returns the right hand side nested expression */
+ EIGEN_DEVICE_FUNC
+ const _RhsNested& rhs() const { return m_rhs; }
+ /** \returns the functor representing the binary operation */
+ EIGEN_DEVICE_FUNC
+ const BinaryOp& functor() const { return m_functor; }
+
+ protected:
+ LhsNested m_lhs;
+ RhsNested m_rhs;
+ const BinaryOp m_functor;
+};
+
+template<typename BinaryOp, typename Lhs, typename Rhs>
+class CwiseBinaryOpImpl<BinaryOp, Lhs, Rhs, Dense>
+ : public internal::dense_xpr_base<CwiseBinaryOp<BinaryOp, Lhs, Rhs> >::type
+{
+ typedef CwiseBinaryOp<BinaryOp, Lhs, Rhs> Derived;
+ public:
+
+ typedef typename internal::dense_xpr_base<CwiseBinaryOp<BinaryOp, Lhs, Rhs> >::type Base;
+ EIGEN_DENSE_PUBLIC_INTERFACE( Derived )
+
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE const Scalar coeff(Index rowId, Index colId) const
+ {
+ return derived().functor()(derived().lhs().coeff(rowId, colId),
+ derived().rhs().coeff(rowId, colId));
+ }
+
+ template<int LoadMode>
+ EIGEN_STRONG_INLINE PacketScalar packet(Index rowId, Index colId) const
+ {
+ return derived().functor().packetOp(derived().lhs().template packet<LoadMode>(rowId, colId),
+ derived().rhs().template packet<LoadMode>(rowId, colId));
+ }
+
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE const Scalar coeff(Index index) const
+ {
+ return derived().functor()(derived().lhs().coeff(index),
+ derived().rhs().coeff(index));
+ }
+
+ template<int LoadMode>
+ EIGEN_STRONG_INLINE PacketScalar packet(Index 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<internal::scalar_difference_op<Scalar>, Derived, OtherDerived> tmp(derived());
+ tmp = other.derived();
+ 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<internal::scalar_sum_op<Scalar>, Derived, OtherDerived> tmp(derived());
+ tmp = other.derived();
+ return derived();
+}
+
+} // end namespace Eigen
+
+#endif // EIGEN_CWISE_BINARY_OP_H
+