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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 Dynamic 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 nested<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 & (HereditaryBits | LinearAccessBit | MaskLvalueBit | DirectAccessBit) & ~RowMajorBit,
- CoeffReadCost = _MatrixTypeNested::CoeffReadCost,
- 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
- 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()),Index(m_matrix.rows()+m_index.value()))
- : numext::mini(Index(m_matrix.rows()),Index(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.const_cast_derived().coeffRef(rowOffset(), colOffset())); }
- EIGEN_DEVICE_FUNC
- inline const Scalar* data() const { return &(m_matrix.const_cast_derived().coeffRef(rowOffset(), colOffset())); }
-
- EIGEN_DEVICE_FUNC
- inline Scalar& coeffRef(Index row, Index)
- {
- EIGEN_STATIC_ASSERT_LVALUE(MatrixType)
- return m_matrix.const_cast_derived().coeffRef(row+rowOffset(), row+colOffset());
- }
-
- EIGEN_DEVICE_FUNC
- inline const Scalar& coeffRef(Index row, Index) const
- {
- return m_matrix.const_cast_derived().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.const_cast_derived().coeffRef(idx+rowOffset(), idx+colOffset());
- }
-
- EIGEN_DEVICE_FUNC
- inline const Scalar& coeffRef(Index idx) const
- {
- return m_matrix.const_cast_derived().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
- const typename internal::remove_all<typename MatrixType::Nested>::type&
- nestedExpression() const
- {
- return m_matrix;
- }
-
- EIGEN_DEVICE_FUNC
- int index() const
- {
- return m_index.value();
- }
-
- protected:
- typename MatrixType::Nested 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; }
- // triger a compile time error is 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 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>::template DiagonalIndexReturnType<DynamicIndex>::Type
-MatrixBase<Derived>::diagonal(Index index)
-{
- return typename DiagonalIndexReturnType<DynamicIndex>::Type(derived(), index);
-}
-
-/** This is the const version of diagonal(Index). */
-template<typename Derived>
-inline typename MatrixBase<Derived>::template ConstDiagonalIndexReturnType<DynamicIndex>::Type
-MatrixBase<Derived>::diagonal(Index index) const
-{
- return typename ConstDiagonalIndexReturnType<DynamicIndex>::Type(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 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 derived();
-}
-
-} // end namespace Eigen
-
-#endif // EIGEN_DIAGONAL_H