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// This file is part of Eigen, a lightweight C++ template library // for linear algebra. // // Copyright (C) 2008-2017 Gael Guennebaud // Copyright (C) 2014 yoco // // 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_RESHAPED_H #define EIGEN_RESHAPED_H // IWYU pragma: private #include "./InternalHeaderCheck.h" namespace Eigen { /** \class Reshaped * \ingroup Core_Module * * \brief Expression of a fixed-size or dynamic-size reshape * * \tparam XprType the type of the expression in which we are taking a reshape * \tparam Rows the number of rows of the reshape we are taking at compile time (optional) * \tparam Cols the number of columns of the reshape we are taking at compile time (optional) * \tparam Order can be ColMajor or RowMajor, default is ColMajor. * * This class represents an expression of either a fixed-size or dynamic-size reshape. * It is the return type of DenseBase::reshaped(NRowsType,NColsType) and * most of the time this is the only way it is used. * * If you want to directly manipulate reshaped expressions, * for instance if you want to write a function returning such an expression, * it is advised to use the \em auto keyword for such use cases. * * Here is an example illustrating the dynamic case: * \include class_Reshaped.cpp * Output: \verbinclude class_Reshaped.out * * Here is an example illustrating the fixed-size case: * \include class_FixedReshaped.cpp * Output: \verbinclude class_FixedReshaped.out * * \sa DenseBase::reshaped(NRowsType,NColsType) */ namespace internal { template struct traits > : traits { typedef typename traits::Scalar Scalar; typedef typename traits::StorageKind StorageKind; typedef typename traits::XprKind XprKind; enum { MatrixRows = traits::RowsAtCompileTime, MatrixCols = traits::ColsAtCompileTime, RowsAtCompileTime = Rows, ColsAtCompileTime = Cols, MaxRowsAtCompileTime = Rows, MaxColsAtCompileTime = Cols, XpxStorageOrder = ((int(traits::Flags) & RowMajorBit) == RowMajorBit) ? RowMajor : ColMajor, ReshapedStorageOrder = (RowsAtCompileTime == 1 && ColsAtCompileTime != 1) ? RowMajor : (ColsAtCompileTime == 1 && RowsAtCompileTime != 1) ? ColMajor : XpxStorageOrder, HasSameStorageOrderAsXprType = (ReshapedStorageOrder == XpxStorageOrder), InnerSize = (ReshapedStorageOrder == int(RowMajor)) ? int(ColsAtCompileTime) : int(RowsAtCompileTime), InnerStrideAtCompileTime = HasSameStorageOrderAsXprType ? int(inner_stride_at_compile_time::ret) : Dynamic, OuterStrideAtCompileTime = Dynamic, HasDirectAccess = internal::has_direct_access::ret && (Order == int(XpxStorageOrder)) && ((evaluator::Flags & LinearAccessBit) == LinearAccessBit), MaskPacketAccessBit = (InnerSize == Dynamic || (InnerSize % packet_traits::size) == 0) && (InnerStrideAtCompileTime == 1) ? PacketAccessBit : 0, // MaskAlignedBit = ((OuterStrideAtCompileTime!=Dynamic) && (((OuterStrideAtCompileTime * int(sizeof(Scalar))) % 16) // == 0)) ? AlignedBit : 0, FlagsLinearAccessBit = (RowsAtCompileTime == 1 || ColsAtCompileTime == 1) ? LinearAccessBit : 0, FlagsLvalueBit = is_lvalue::value ? LvalueBit : 0, FlagsRowMajorBit = (ReshapedStorageOrder == int(RowMajor)) ? RowMajorBit : 0, FlagsDirectAccessBit = HasDirectAccess ? DirectAccessBit : 0, Flags0 = traits::Flags & ((HereditaryBits & ~RowMajorBit) | MaskPacketAccessBit), Flags = (Flags0 | FlagsLinearAccessBit | FlagsLvalueBit | FlagsRowMajorBit | FlagsDirectAccessBit) }; }; template class ReshapedImpl_dense; } // end namespace internal template class ReshapedImpl; template class Reshaped : public ReshapedImpl::StorageKind> { typedef ReshapedImpl::StorageKind> Impl; public: // typedef typename Impl::Base Base; typedef Impl Base; EIGEN_GENERIC_PUBLIC_INTERFACE(Reshaped) EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Reshaped) /** Fixed-size constructor */ EIGEN_DEVICE_FUNC inline Reshaped(XprType& xpr) : Impl(xpr) { EIGEN_STATIC_ASSERT(RowsAtCompileTime != Dynamic && ColsAtCompileTime != Dynamic, THIS_METHOD_IS_ONLY_FOR_FIXED_SIZE) eigen_assert(Rows * Cols == xpr.rows() * xpr.cols()); } /** Dynamic-size constructor */ EIGEN_DEVICE_FUNC inline Reshaped(XprType& xpr, Index reshapeRows, Index reshapeCols) : Impl(xpr, reshapeRows, reshapeCols) { eigen_assert((RowsAtCompileTime == Dynamic || RowsAtCompileTime == reshapeRows) && (ColsAtCompileTime == Dynamic || ColsAtCompileTime == reshapeCols)); eigen_assert(reshapeRows * reshapeCols == xpr.rows() * xpr.cols()); } }; // The generic default implementation for dense reshape simply forward to the internal::ReshapedImpl_dense // that must be specialized for direct and non-direct access... template class ReshapedImpl : public internal::ReshapedImpl_dense >::HasDirectAccess> { typedef internal::ReshapedImpl_dense >::HasDirectAccess> Impl; public: typedef Impl Base; EIGEN_INHERIT_ASSIGNMENT_OPERATORS(ReshapedImpl) EIGEN_DEVICE_FUNC inline ReshapedImpl(XprType& xpr) : Impl(xpr) {} EIGEN_DEVICE_FUNC inline ReshapedImpl(XprType& xpr, Index reshapeRows, Index reshapeCols) : Impl(xpr, reshapeRows, reshapeCols) {} }; namespace internal { /** \internal Internal implementation of dense Reshaped in the general case. */ template class ReshapedImpl_dense : public internal::dense_xpr_base >::type { typedef Reshaped ReshapedType; public: typedef typename internal::dense_xpr_base::type Base; EIGEN_DENSE_PUBLIC_INTERFACE(ReshapedType) EIGEN_INHERIT_ASSIGNMENT_OPERATORS(ReshapedImpl_dense) typedef typename internal::ref_selector::non_const_type MatrixTypeNested; typedef internal::remove_all_t NestedExpression; class InnerIterator; /** Fixed-size constructor */ EIGEN_DEVICE_FUNC inline ReshapedImpl_dense(XprType& xpr) : m_xpr(xpr), m_rows(Rows), m_cols(Cols) {} /** Dynamic-size constructor */ EIGEN_DEVICE_FUNC inline ReshapedImpl_dense(XprType& xpr, Index nRows, Index nCols) : m_xpr(xpr), m_rows(nRows), m_cols(nCols) {} EIGEN_DEVICE_FUNC Index rows() const { return m_rows; } EIGEN_DEVICE_FUNC Index cols() const { return m_cols; } #ifdef EIGEN_PARSED_BY_DOXYGEN /** \sa MapBase::data() */ EIGEN_DEVICE_FUNC constexpr const Scalar* data() const; EIGEN_DEVICE_FUNC inline Index innerStride() const; EIGEN_DEVICE_FUNC inline Index outerStride() const; #endif /** \returns the nested expression */ EIGEN_DEVICE_FUNC const internal::remove_all_t& nestedExpression() const { return m_xpr; } /** \returns the nested expression */ EIGEN_DEVICE_FUNC std::remove_reference_t& nestedExpression() { return m_xpr; } protected: MatrixTypeNested m_xpr; const internal::variable_if_dynamic m_rows; const internal::variable_if_dynamic m_cols; }; /** \internal Internal implementation of dense Reshaped in the direct access case. */ template class ReshapedImpl_dense : public MapBase > { typedef Reshaped ReshapedType; typedef typename internal::ref_selector::non_const_type XprTypeNested; public: typedef MapBase Base; EIGEN_DENSE_PUBLIC_INTERFACE(ReshapedType) EIGEN_INHERIT_ASSIGNMENT_OPERATORS(ReshapedImpl_dense) /** Fixed-size constructor */ EIGEN_DEVICE_FUNC inline ReshapedImpl_dense(XprType& xpr) : Base(xpr.data()), m_xpr(xpr) {} /** Dynamic-size constructor */ EIGEN_DEVICE_FUNC inline ReshapedImpl_dense(XprType& xpr, Index nRows, Index nCols) : Base(xpr.data(), nRows, nCols), m_xpr(xpr) {} EIGEN_DEVICE_FUNC const internal::remove_all_t& nestedExpression() const { return m_xpr; } EIGEN_DEVICE_FUNC XprType& nestedExpression() { return m_xpr; } /** \sa MapBase::innerStride() */ EIGEN_DEVICE_FUNC constexpr Index innerStride() const { return m_xpr.innerStride(); } /** \sa MapBase::outerStride() */ EIGEN_DEVICE_FUNC constexpr Index outerStride() const { return (((Flags & RowMajorBit) == RowMajorBit) ? this->cols() : this->rows()) * m_xpr.innerStride(); } protected: XprTypeNested m_xpr; }; // Evaluators template struct reshaped_evaluator; template struct evaluator > : reshaped_evaluator >::HasDirectAccess> { typedef Reshaped XprType; typedef typename XprType::Scalar Scalar; // TODO: should check for smaller packet types typedef typename packet_traits::type PacketScalar; enum { CoeffReadCost = evaluator::CoeffReadCost, HasDirectAccess = traits::HasDirectAccess, // RowsAtCompileTime = traits::RowsAtCompileTime, // ColsAtCompileTime = traits::ColsAtCompileTime, // MaxRowsAtCompileTime = traits::MaxRowsAtCompileTime, // MaxColsAtCompileTime = traits::MaxColsAtCompileTime, // // InnerStrideAtCompileTime = traits::HasSameStorageOrderAsXprType // ? int(inner_stride_at_compile_time::ret) // : Dynamic, // OuterStrideAtCompileTime = Dynamic, FlagsLinearAccessBit = (traits::RowsAtCompileTime == 1 || traits::ColsAtCompileTime == 1 || HasDirectAccess) ? LinearAccessBit : 0, FlagsRowMajorBit = (traits::ReshapedStorageOrder == int(RowMajor)) ? RowMajorBit : 0, FlagsDirectAccessBit = HasDirectAccess ? DirectAccessBit : 0, Flags0 = evaluator::Flags & (HereditaryBits & ~RowMajorBit), Flags = Flags0 | FlagsLinearAccessBit | FlagsRowMajorBit | FlagsDirectAccessBit, PacketAlignment = unpacket_traits::alignment, Alignment = evaluator::Alignment }; typedef reshaped_evaluator reshaped_evaluator_type; EIGEN_DEVICE_FUNC explicit evaluator(const XprType& xpr) : reshaped_evaluator_type(xpr) { EIGEN_INTERNAL_CHECK_COST_VALUE(CoeffReadCost); } }; template struct reshaped_evaluator : evaluator_base > { typedef Reshaped XprType; enum { CoeffReadCost = evaluator::CoeffReadCost /* TODO + cost of index computations */, Flags = (evaluator::Flags & (HereditaryBits /*| LinearAccessBit | DirectAccessBit*/)), Alignment = 0 }; EIGEN_DEVICE_FUNC explicit reshaped_evaluator(const XprType& xpr) : m_argImpl(xpr.nestedExpression()), m_xpr(xpr) { EIGEN_INTERNAL_CHECK_COST_VALUE(CoeffReadCost); } typedef typename XprType::Scalar Scalar; typedef typename XprType::CoeffReturnType CoeffReturnType; typedef std::pair RowCol; EIGEN_DEVICE_FUNC inline RowCol index_remap(Index rowId, Index colId) const { if (Order == ColMajor) { const Index nth_elem_idx = colId * m_xpr.rows() + rowId; return RowCol(nth_elem_idx % m_xpr.nestedExpression().rows(), nth_elem_idx / m_xpr.nestedExpression().rows()); } else { const Index nth_elem_idx = colId + rowId * m_xpr.cols(); return RowCol(nth_elem_idx / m_xpr.nestedExpression().cols(), nth_elem_idx % m_xpr.nestedExpression().cols()); } } EIGEN_DEVICE_FUNC inline Scalar& coeffRef(Index rowId, Index colId) { EIGEN_STATIC_ASSERT_LVALUE(XprType) const RowCol row_col = index_remap(rowId, colId); return m_argImpl.coeffRef(row_col.first, row_col.second); } EIGEN_DEVICE_FUNC inline const Scalar& coeffRef(Index rowId, Index colId) const { const RowCol row_col = index_remap(rowId, colId); return m_argImpl.coeffRef(row_col.first, row_col.second); } EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CoeffReturnType coeff(Index rowId, Index colId) const { const RowCol row_col = index_remap(rowId, colId); return m_argImpl.coeff(row_col.first, row_col.second); } EIGEN_DEVICE_FUNC inline Scalar& coeffRef(Index index) { EIGEN_STATIC_ASSERT_LVALUE(XprType) const RowCol row_col = index_remap(Rows == 1 ? 0 : index, Rows == 1 ? index : 0); return m_argImpl.coeffRef(row_col.first, row_col.second); } EIGEN_DEVICE_FUNC inline const Scalar& coeffRef(Index index) const { const RowCol row_col = index_remap(Rows == 1 ? 0 : index, Rows == 1 ? index : 0); return m_argImpl.coeffRef(row_col.first, row_col.second); } EIGEN_DEVICE_FUNC inline const CoeffReturnType coeff(Index index) const { const RowCol row_col = index_remap(Rows == 1 ? 0 : index, Rows == 1 ? index : 0); return m_argImpl.coeff(row_col.first, row_col.second); } #if 0 EIGEN_DEVICE_FUNC template inline PacketScalar packet(Index rowId, Index colId) const { const RowCol row_col = index_remap(rowId, colId); return m_argImpl.template packet(row_col.first, row_col.second); } template EIGEN_DEVICE_FUNC inline void writePacket(Index rowId, Index colId, const PacketScalar& val) { const RowCol row_col = index_remap(rowId, colId); m_argImpl.const_cast_derived().template writePacket (row_col.first, row_col.second, val); } template EIGEN_DEVICE_FUNC inline PacketScalar packet(Index index) const { const RowCol row_col = index_remap(RowsAtCompileTime == 1 ? 0 : index, RowsAtCompileTime == 1 ? index : 0); return m_argImpl.template packet(row_col.first, row_col.second); } template EIGEN_DEVICE_FUNC inline void writePacket(Index index, const PacketScalar& val) { const RowCol row_col = index_remap(RowsAtCompileTime == 1 ? 0 : index, RowsAtCompileTime == 1 ? index : 0); return m_argImpl.template packet(row_col.first, row_col.second, val); } #endif protected: evaluator m_argImpl; const XprType& m_xpr; }; template struct reshaped_evaluator : mapbase_evaluator, typename Reshaped::PlainObject> { typedef Reshaped XprType; typedef typename XprType::Scalar Scalar; EIGEN_DEVICE_FUNC explicit reshaped_evaluator(const XprType& xpr) : mapbase_evaluator(xpr) { // TODO: for the 3.4 release, this should be turned to an internal assertion, but let's keep it as is for the beta // lifetime eigen_assert(((std::uintptr_t(xpr.data()) % plain_enum_max(1, evaluator::Alignment)) == 0) && "data is not aligned"); } }; } // end namespace internal } // end namespace Eigen #endif // EIGEN_RESHAPED_H