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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2017 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2014 yoco <peter.xiau@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_RESHAPED_H
+#define EIGEN_RESHAPED_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.
+ *
+ * However, in C++98, if you want to directly maniputate reshaped expressions,
+ * for instance if you want to write a function returning such an expression, you
+ * will need to use this class. In C++11, 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<typename XprType, int Rows, int Cols, int Order>
+struct traits<Reshaped<XprType, Rows, Cols, Order> > : traits<XprType>
+{
+ typedef typename traits<XprType>::Scalar Scalar;
+ typedef typename traits<XprType>::StorageKind StorageKind;
+ typedef typename traits<XprType>::XprKind XprKind;
+ enum{
+ MatrixRows = traits<XprType>::RowsAtCompileTime,
+ MatrixCols = traits<XprType>::ColsAtCompileTime,
+ RowsAtCompileTime = Rows,
+ ColsAtCompileTime = Cols,
+ MaxRowsAtCompileTime = Rows,
+ MaxColsAtCompileTime = Cols,
+ XpxStorageOrder = ((int(traits<XprType>::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<XprType>::ret)
+ : Dynamic,
+ OuterStrideAtCompileTime = Dynamic,
+
+ HasDirectAccess = internal::has_direct_access<XprType>::ret
+ && (Order==int(XpxStorageOrder))
+ && ((evaluator<XprType>::Flags&LinearAccessBit)==LinearAccessBit),
+
+ MaskPacketAccessBit = (InnerSize == Dynamic || (InnerSize % packet_traits<Scalar>::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<XprType>::value ? LvalueBit : 0,
+ FlagsRowMajorBit = (ReshapedStorageOrder==int(RowMajor)) ? RowMajorBit : 0,
+ FlagsDirectAccessBit = HasDirectAccess ? DirectAccessBit : 0,
+ Flags0 = traits<XprType>::Flags & ( (HereditaryBits & ~RowMajorBit) | MaskPacketAccessBit),
+
+ Flags = (Flags0 | FlagsLinearAccessBit | FlagsLvalueBit | FlagsRowMajorBit | FlagsDirectAccessBit)
+ };
+};
+
+template<typename XprType, int Rows, int Cols, int Order, bool HasDirectAccess> class ReshapedImpl_dense;
+
+} // end namespace internal
+
+template<typename XprType, int Rows, int Cols, int Order, typename StorageKind> class ReshapedImpl;
+
+template<typename XprType, int Rows, int Cols, int Order> class Reshaped
+ : public ReshapedImpl<XprType, Rows, Cols, Order, typename internal::traits<XprType>::StorageKind>
+{
+ typedef ReshapedImpl<XprType, Rows, Cols, Order, typename internal::traits<XprType>::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<typename XprType, int Rows, int Cols, int Order>
+class ReshapedImpl<XprType, Rows, Cols, Order, Dense>
+ : public internal::ReshapedImpl_dense<XprType, Rows, Cols, Order,internal::traits<Reshaped<XprType,Rows,Cols,Order> >::HasDirectAccess>
+{
+ typedef internal::ReshapedImpl_dense<XprType, Rows, Cols, Order,internal::traits<Reshaped<XprType,Rows,Cols,Order> >::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<typename XprType, int Rows, int Cols, int Order>
+class ReshapedImpl_dense<XprType,Rows,Cols,Order,false>
+ : public internal::dense_xpr_base<Reshaped<XprType, Rows, Cols, Order> >::type
+{
+ typedef Reshaped<XprType, Rows, Cols, Order> ReshapedType;
+ public:
+
+ typedef typename internal::dense_xpr_base<ReshapedType>::type Base;
+ EIGEN_DENSE_PUBLIC_INTERFACE(ReshapedType)
+ EIGEN_INHERIT_ASSIGNMENT_OPERATORS(ReshapedImpl_dense)
+
+ typedef typename internal::ref_selector<XprType>::non_const_type MatrixTypeNested;
+ typedef typename internal::remove_all<XprType>::type 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 inline 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 typename internal::remove_all<XprType>::type&
+ nestedExpression() const { return m_xpr; }
+
+ /** \returns the nested expression */
+ EIGEN_DEVICE_FUNC
+ typename internal::remove_reference<XprType>::type&
+ nestedExpression() { return m_xpr; }
+
+ protected:
+
+ MatrixTypeNested m_xpr;
+ const internal::variable_if_dynamic<Index, Rows> m_rows;
+ const internal::variable_if_dynamic<Index, Cols> m_cols;
+};
+
+
+/** \internal Internal implementation of dense Reshaped in the direct access case. */
+template<typename XprType, int Rows, int Cols, int Order>
+class ReshapedImpl_dense<XprType, Rows, Cols, Order, true>
+ : public MapBase<Reshaped<XprType, Rows, Cols, Order> >
+{
+ typedef Reshaped<XprType, Rows, Cols, Order> ReshapedType;
+ typedef typename internal::ref_selector<XprType>::non_const_type XprTypeNested;
+ public:
+
+ typedef MapBase<ReshapedType> 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 typename internal::remove_all<XprTypeNested>::type& nestedExpression() const
+ {
+ return m_xpr;
+ }
+
+ EIGEN_DEVICE_FUNC
+ XprType& nestedExpression() { return m_xpr; }
+
+ /** \sa MapBase::innerStride() */
+ EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
+ inline Index innerStride() const
+ {
+ return m_xpr.innerStride();
+ }
+
+ /** \sa MapBase::outerStride() */
+ EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
+ inline Index outerStride() const
+ {
+ return ((Flags&RowMajorBit)==RowMajorBit) ? this->cols() : this->rows();
+ }
+
+ protected:
+
+ XprTypeNested m_xpr;
+};
+
+// Evaluators
+template<typename ArgType, int Rows, int Cols, int Order, bool HasDirectAccess> struct reshaped_evaluator;
+
+template<typename ArgType, int Rows, int Cols, int Order>
+struct evaluator<Reshaped<ArgType, Rows, Cols, Order> >
+ : reshaped_evaluator<ArgType, Rows, Cols, Order, traits<Reshaped<ArgType,Rows,Cols,Order> >::HasDirectAccess>
+{
+ typedef Reshaped<ArgType, Rows, Cols, Order> XprType;
+ typedef typename XprType::Scalar Scalar;
+ // TODO: should check for smaller packet types
+ typedef typename packet_traits<Scalar>::type PacketScalar;
+
+ enum {
+ CoeffReadCost = evaluator<ArgType>::CoeffReadCost,
+ HasDirectAccess = traits<XprType>::HasDirectAccess,
+
+// RowsAtCompileTime = traits<XprType>::RowsAtCompileTime,
+// ColsAtCompileTime = traits<XprType>::ColsAtCompileTime,
+// MaxRowsAtCompileTime = traits<XprType>::MaxRowsAtCompileTime,
+// MaxColsAtCompileTime = traits<XprType>::MaxColsAtCompileTime,
+//
+// InnerStrideAtCompileTime = traits<XprType>::HasSameStorageOrderAsXprType
+// ? int(inner_stride_at_compile_time<ArgType>::ret)
+// : Dynamic,
+// OuterStrideAtCompileTime = Dynamic,
+
+ FlagsLinearAccessBit = (traits<XprType>::RowsAtCompileTime == 1 || traits<XprType>::ColsAtCompileTime == 1 || HasDirectAccess) ? LinearAccessBit : 0,
+ FlagsRowMajorBit = (traits<XprType>::ReshapedStorageOrder==int(RowMajor)) ? RowMajorBit : 0,
+ FlagsDirectAccessBit = HasDirectAccess ? DirectAccessBit : 0,
+ Flags0 = evaluator<ArgType>::Flags & (HereditaryBits & ~RowMajorBit),
+ Flags = Flags0 | FlagsLinearAccessBit | FlagsRowMajorBit | FlagsDirectAccessBit,
+
+ PacketAlignment = unpacket_traits<PacketScalar>::alignment,
+ Alignment = evaluator<ArgType>::Alignment
+ };
+ typedef reshaped_evaluator<ArgType, Rows, Cols, Order, HasDirectAccess> reshaped_evaluator_type;
+ EIGEN_DEVICE_FUNC explicit evaluator(const XprType& xpr) : reshaped_evaluator_type(xpr)
+ {
+ EIGEN_INTERNAL_CHECK_COST_VALUE(CoeffReadCost);
+ }
+};
+
+template<typename ArgType, int Rows, int Cols, int Order>
+struct reshaped_evaluator<ArgType, Rows, Cols, Order, /* HasDirectAccess */ false>
+ : evaluator_base<Reshaped<ArgType, Rows, Cols, Order> >
+{
+ typedef Reshaped<ArgType, Rows, Cols, Order> XprType;
+
+ enum {
+ CoeffReadCost = evaluator<ArgType>::CoeffReadCost /* TODO + cost of index computations */,
+
+ Flags = (evaluator<ArgType>::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<Index, Index> RowCol;
+
+ 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<int LoadMode>
+ inline PacketScalar packet(Index rowId, Index colId) const
+ {
+ const RowCol row_col = index_remap(rowId, colId);
+ return m_argImpl.template packet<Unaligned>(row_col.first, row_col.second);
+
+ }
+
+ template<int LoadMode>
+ 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<Unaligned>
+ (row_col.first, row_col.second, val);
+ }
+
+ template<int LoadMode>
+ 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<Unaligned>(row_col.first, row_col.second);
+ }
+
+ template<int LoadMode>
+ 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<Unaligned>(row_col.first, row_col.second, val);
+ }
+#endif
+protected:
+
+ evaluator<ArgType> m_argImpl;
+ const XprType& m_xpr;
+
+};
+
+template<typename ArgType, int Rows, int Cols, int Order>
+struct reshaped_evaluator<ArgType, Rows, Cols, Order, /* HasDirectAccess */ true>
+: mapbase_evaluator<Reshaped<ArgType, Rows, Cols, Order>,
+ typename Reshaped<ArgType, Rows, Cols, Order>::PlainObject>
+{
+ typedef Reshaped<ArgType, Rows, Cols, Order> XprType;
+ typedef typename XprType::Scalar Scalar;
+
+ EIGEN_DEVICE_FUNC explicit reshaped_evaluator(const XprType& xpr)
+ : mapbase_evaluator<XprType, typename XprType::PlainObject>(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(((internal::UIntPtr(xpr.data()) % EIGEN_PLAIN_ENUM_MAX(1,evaluator<XprType>::Alignment)) == 0) && "data is not aligned");
+ }
+};
+
+} // end namespace internal
+
+} // end namespace Eigen
+
+#endif // EIGEN_RESHAPED_H