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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2007-2009 Benoit Jacob <jacob.benoit.1@gmail.com>
+// Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
+//
+// 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_DIAGONAL_H
+#define EIGEN_DIAGONAL_H
+
+namespace Eigen {
+
+/** \class Diagonal
+ * \ingroup Core_Module
+ *
+ * \brief Expression of a diagonal/subdiagonal/superdiagonal in a matrix
+ *
+ * \param MatrixType the type of the object in which we are taking a sub/main/super diagonal
+ * \param DiagIndex the index of the sub/super diagonal. The default is 0 and it means the main diagonal.
+ * A positive value means a superdiagonal, a negative value means a subdiagonal.
+ * You can also use DynamicIndex so the index can be set at runtime.
+ *
+ * The matrix is not required to be square.
+ *
+ * This class represents an expression of the main diagonal, or any sub/super diagonal
+ * of a square matrix. It is the return type of MatrixBase::diagonal() and MatrixBase::diagonal(Index) and most of the
+ * time this is the only way it is used.
+ *
+ * \sa MatrixBase::diagonal(), MatrixBase::diagonal(Index)
+ */
+
+namespace internal {
+template<typename MatrixType, int DiagIndex>
+struct traits<Diagonal<MatrixType,DiagIndex> >
+ : traits<MatrixType>
+{
+ typedef typename ref_selector<MatrixType>::type MatrixTypeNested;
+ typedef typename remove_reference<MatrixTypeNested>::type _MatrixTypeNested;
+ typedef typename MatrixType::StorageKind StorageKind;
+ enum {
+ RowsAtCompileTime = (int(DiagIndex) == DynamicIndex || int(MatrixType::SizeAtCompileTime) == Dynamic) ? Dynamic
+ : (EIGEN_PLAIN_ENUM_MIN(MatrixType::RowsAtCompileTime - EIGEN_PLAIN_ENUM_MAX(-DiagIndex, 0),
+ MatrixType::ColsAtCompileTime - EIGEN_PLAIN_ENUM_MAX( DiagIndex, 0))),
+ ColsAtCompileTime = 1,
+ MaxRowsAtCompileTime = int(MatrixType::MaxSizeAtCompileTime) == Dynamic ? Dynamic
+ : DiagIndex == DynamicIndex ? EIGEN_SIZE_MIN_PREFER_FIXED(MatrixType::MaxRowsAtCompileTime,
+ MatrixType::MaxColsAtCompileTime)
+ : (EIGEN_PLAIN_ENUM_MIN(MatrixType::MaxRowsAtCompileTime - EIGEN_PLAIN_ENUM_MAX(-DiagIndex, 0),
+ MatrixType::MaxColsAtCompileTime - EIGEN_PLAIN_ENUM_MAX( DiagIndex, 0))),
+ MaxColsAtCompileTime = 1,
+ MaskLvalueBit = is_lvalue<MatrixType>::value ? LvalueBit : 0,
+ Flags = (unsigned int)_MatrixTypeNested::Flags & (RowMajorBit | MaskLvalueBit | DirectAccessBit) & ~RowMajorBit, // FIXME DirectAccessBit should not be handled by expressions
+ MatrixTypeOuterStride = outer_stride_at_compile_time<MatrixType>::ret,
+ InnerStrideAtCompileTime = MatrixTypeOuterStride == Dynamic ? Dynamic : MatrixTypeOuterStride+1,
+ OuterStrideAtCompileTime = 0
+ };
+};
+}
+
+template<typename MatrixType, int _DiagIndex> class Diagonal
+ : public internal::dense_xpr_base< Diagonal<MatrixType,_DiagIndex> >::type
+{
+ public:
+
+ enum { DiagIndex = _DiagIndex };
+ typedef typename internal::dense_xpr_base<Diagonal>::type Base;
+ EIGEN_DENSE_PUBLIC_INTERFACE(Diagonal)
+
+ EIGEN_DEVICE_FUNC
+ explicit inline Diagonal(MatrixType& matrix, Index a_index = DiagIndex) : m_matrix(matrix), m_index(a_index) {}
+
+ EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Diagonal)
+
+ EIGEN_DEVICE_FUNC
+ inline Index rows() const
+ {
+ return m_index.value()<0 ? numext::mini<Index>(m_matrix.cols(),m_matrix.rows()+m_index.value())
+ : numext::mini<Index>(m_matrix.rows(),m_matrix.cols()-m_index.value());
+ }
+
+ EIGEN_DEVICE_FUNC
+ inline Index cols() const { return 1; }
+
+ EIGEN_DEVICE_FUNC
+ inline Index innerStride() const
+ {
+ return m_matrix.outerStride() + 1;
+ }
+
+ EIGEN_DEVICE_FUNC
+ inline Index outerStride() const
+ {
+ return 0;
+ }
+
+ typedef typename internal::conditional<
+ internal::is_lvalue<MatrixType>::value,
+ Scalar,
+ const Scalar
+ >::type ScalarWithConstIfNotLvalue;
+
+ EIGEN_DEVICE_FUNC
+ inline ScalarWithConstIfNotLvalue* data() { return &(m_matrix.coeffRef(rowOffset(), colOffset())); }
+ EIGEN_DEVICE_FUNC
+ inline const Scalar* data() const { return &(m_matrix.coeffRef(rowOffset(), colOffset())); }
+
+ EIGEN_DEVICE_FUNC
+ inline Scalar& coeffRef(Index row, Index)
+ {
+ EIGEN_STATIC_ASSERT_LVALUE(MatrixType)
+ return m_matrix.coeffRef(row+rowOffset(), row+colOffset());
+ }
+
+ EIGEN_DEVICE_FUNC
+ inline const Scalar& coeffRef(Index row, Index) const
+ {
+ return m_matrix.coeffRef(row+rowOffset(), row+colOffset());
+ }
+
+ EIGEN_DEVICE_FUNC
+ inline CoeffReturnType coeff(Index row, Index) const
+ {
+ return m_matrix.coeff(row+rowOffset(), row+colOffset());
+ }
+
+ EIGEN_DEVICE_FUNC
+ inline Scalar& coeffRef(Index idx)
+ {
+ EIGEN_STATIC_ASSERT_LVALUE(MatrixType)
+ return m_matrix.coeffRef(idx+rowOffset(), idx+colOffset());
+ }
+
+ EIGEN_DEVICE_FUNC
+ inline const Scalar& coeffRef(Index idx) const
+ {
+ return m_matrix.coeffRef(idx+rowOffset(), idx+colOffset());
+ }
+
+ EIGEN_DEVICE_FUNC
+ inline CoeffReturnType coeff(Index idx) const
+ {
+ return m_matrix.coeff(idx+rowOffset(), idx+colOffset());
+ }
+
+ EIGEN_DEVICE_FUNC
+ inline const typename internal::remove_all<typename MatrixType::Nested>::type&
+ nestedExpression() const
+ {
+ return m_matrix;
+ }
+
+ EIGEN_DEVICE_FUNC
+ inline Index index() const
+ {
+ return m_index.value();
+ }
+
+ protected:
+ typename internal::ref_selector<MatrixType>::non_const_type m_matrix;
+ const internal::variable_if_dynamicindex<Index, DiagIndex> m_index;
+
+ private:
+ // some compilers may fail to optimize std::max etc in case of compile-time constants...
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE Index absDiagIndex() const { return m_index.value()>0 ? m_index.value() : -m_index.value(); }
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE Index rowOffset() const { return m_index.value()>0 ? 0 : -m_index.value(); }
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE Index colOffset() const { return m_index.value()>0 ? m_index.value() : 0; }
+ // trigger a compile-time error if someone try to call packet
+ template<int LoadMode> typename MatrixType::PacketReturnType packet(Index) const;
+ template<int LoadMode> typename MatrixType::PacketReturnType packet(Index,Index) const;
+};
+
+/** \returns an expression of the main diagonal of the matrix \c *this
+ *
+ * \c *this is not required to be square.
+ *
+ * Example: \include MatrixBase_diagonal.cpp
+ * Output: \verbinclude MatrixBase_diagonal.out
+ *
+ * \sa class Diagonal */
+template<typename Derived>
+inline typename MatrixBase<Derived>::DiagonalReturnType
+MatrixBase<Derived>::diagonal()
+{
+ return DiagonalReturnType(derived());
+}
+
+/** This is the const version of diagonal(). */
+template<typename Derived>
+inline typename MatrixBase<Derived>::ConstDiagonalReturnType
+MatrixBase<Derived>::diagonal() const
+{
+ return ConstDiagonalReturnType(derived());
+}
+
+/** \returns an expression of the \a DiagIndex-th sub or super diagonal of the matrix \c *this
+ *
+ * \c *this is not required to be square.
+ *
+ * The template parameter \a DiagIndex represent a super diagonal if \a DiagIndex > 0
+ * and a sub diagonal otherwise. \a DiagIndex == 0 is equivalent to the main diagonal.
+ *
+ * Example: \include MatrixBase_diagonal_int.cpp
+ * Output: \verbinclude MatrixBase_diagonal_int.out
+ *
+ * \sa MatrixBase::diagonal(), class Diagonal */
+template<typename Derived>
+inline typename MatrixBase<Derived>::DiagonalDynamicIndexReturnType
+MatrixBase<Derived>::diagonal(Index index)
+{
+ return DiagonalDynamicIndexReturnType(derived(), index);
+}
+
+/** This is the const version of diagonal(Index). */
+template<typename Derived>
+inline typename MatrixBase<Derived>::ConstDiagonalDynamicIndexReturnType
+MatrixBase<Derived>::diagonal(Index index) const
+{
+ return ConstDiagonalDynamicIndexReturnType(derived(), index);
+}
+
+/** \returns an expression of the \a DiagIndex-th sub or super diagonal of the matrix \c *this
+ *
+ * \c *this is not required to be square.
+ *
+ * The template parameter \a DiagIndex represent a super diagonal if \a DiagIndex > 0
+ * and a sub diagonal otherwise. \a DiagIndex == 0 is equivalent to the main diagonal.
+ *
+ * Example: \include MatrixBase_diagonal_template_int.cpp
+ * Output: \verbinclude MatrixBase_diagonal_template_int.out
+ *
+ * \sa MatrixBase::diagonal(), class Diagonal */
+template<typename Derived>
+template<int Index_>
+inline typename MatrixBase<Derived>::template DiagonalIndexReturnType<Index_>::Type
+MatrixBase<Derived>::diagonal()
+{
+ return typename DiagonalIndexReturnType<Index_>::Type(derived());
+}
+
+/** This is the const version of diagonal<int>(). */
+template<typename Derived>
+template<int Index_>
+inline typename MatrixBase<Derived>::template ConstDiagonalIndexReturnType<Index_>::Type
+MatrixBase<Derived>::diagonal() const
+{
+ return typename ConstDiagonalIndexReturnType<Index_>::Type(derived());
+}
+
+} // end namespace Eigen
+
+#endif // EIGEN_DIAGONAL_H