don't index Eigen

1 files changed, 0 insertions, 497 deletions

diff --git a/eigen/Eigen/src/Geometry/Homogeneous.h b/eigen/Eigen/src/Geometry/Homogeneous.h
deleted file mode 100644
index 5f0da1a..0000000
--- a/eigen/Eigen/src/Geometry/Homogeneous.h
+++ /dev/null
@@ -1,497 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// 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_HOMOGENEOUS_H
-#define EIGEN_HOMOGENEOUS_H
-
-namespace Eigen { 
-
-/** \geometry_module \ingroup Geometry_Module
-  *
-  * \class Homogeneous
-  *
-  * \brief Expression of one (or a set of) homogeneous vector(s)
-  *
-  * \param MatrixType the type of the object in which we are making homogeneous
-  *
-  * This class represents an expression of one (or a set of) homogeneous vector(s).
-  * It is the return type of MatrixBase::homogeneous() and most of the time
-  * this is the only way it is used.
-  *
-  * \sa MatrixBase::homogeneous()
-  */
-
-namespace internal {
-
-template<typename MatrixType,int Direction>
-struct traits<Homogeneous<MatrixType,Direction> >
- : traits<MatrixType>
-{
-  typedef typename traits<MatrixType>::StorageKind StorageKind;
-  typedef typename ref_selector<MatrixType>::type MatrixTypeNested;
-  typedef typename remove_reference<MatrixTypeNested>::type _MatrixTypeNested;
-  enum {
-    RowsPlusOne = (MatrixType::RowsAtCompileTime != Dynamic) ?
-                  int(MatrixType::RowsAtCompileTime) + 1 : Dynamic,
-    ColsPlusOne = (MatrixType::ColsAtCompileTime != Dynamic) ?
-                  int(MatrixType::ColsAtCompileTime) + 1 : Dynamic,
-    RowsAtCompileTime = Direction==Vertical  ?  RowsPlusOne : MatrixType::RowsAtCompileTime,
-    ColsAtCompileTime = Direction==Horizontal ? ColsPlusOne : MatrixType::ColsAtCompileTime,
-    MaxRowsAtCompileTime = RowsAtCompileTime,
-    MaxColsAtCompileTime = ColsAtCompileTime,
-    TmpFlags = _MatrixTypeNested::Flags & HereditaryBits,
-    Flags = ColsAtCompileTime==1 ? (TmpFlags & ~RowMajorBit)
-          : RowsAtCompileTime==1 ? (TmpFlags | RowMajorBit)
-          : TmpFlags
-  };
-};
-
-template<typename MatrixType,typename Lhs> struct homogeneous_left_product_impl;
-template<typename MatrixType,typename Rhs> struct homogeneous_right_product_impl;
-
-} // end namespace internal
-
-template<typename MatrixType,int _Direction> class Homogeneous
-  : public MatrixBase<Homogeneous<MatrixType,_Direction> >, internal::no_assignment_operator
-{
-  public:
-
-    typedef MatrixType NestedExpression;
-    enum { Direction = _Direction };
-
-    typedef MatrixBase<Homogeneous> Base;
-    EIGEN_DENSE_PUBLIC_INTERFACE(Homogeneous)
-
-    EIGEN_DEVICE_FUNC explicit inline Homogeneous(const MatrixType& matrix)
-      : m_matrix(matrix)
-    {}
-
-    EIGEN_DEVICE_FUNC inline Index rows() const { return m_matrix.rows() + (int(Direction)==Vertical   ? 1 : 0); }
-    EIGEN_DEVICE_FUNC inline Index cols() const { return m_matrix.cols() + (int(Direction)==Horizontal ? 1 : 0); }
-    
-    EIGEN_DEVICE_FUNC const NestedExpression& nestedExpression() const { return m_matrix; }
-
-    template<typename Rhs>
-    EIGEN_DEVICE_FUNC inline const Product<Homogeneous,Rhs>
-    operator* (const MatrixBase<Rhs>& rhs) const
-    {
-      eigen_assert(int(Direction)==Horizontal);
-      return Product<Homogeneous,Rhs>(*this,rhs.derived());
-    }
-
-    template<typename Lhs> friend
-    EIGEN_DEVICE_FUNC inline const Product<Lhs,Homogeneous>
-    operator* (const MatrixBase<Lhs>& lhs, const Homogeneous& rhs)
-    {
-      eigen_assert(int(Direction)==Vertical);
-      return Product<Lhs,Homogeneous>(lhs.derived(),rhs);
-    }
-
-    template<typename Scalar, int Dim, int Mode, int Options> friend
-    EIGEN_DEVICE_FUNC inline const Product<Transform<Scalar,Dim,Mode,Options>, Homogeneous >
-    operator* (const Transform<Scalar,Dim,Mode,Options>& lhs, const Homogeneous& rhs)
-    {
-      eigen_assert(int(Direction)==Vertical);
-      return Product<Transform<Scalar,Dim,Mode,Options>, Homogeneous>(lhs,rhs);
-    }
-
-    template<typename Func>
-    EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE typename internal::result_of<Func(Scalar,Scalar)>::type
-    redux(const Func& func) const
-    {
-      return func(m_matrix.redux(func), Scalar(1));
-    }
-
-  protected:
-    typename MatrixType::Nested m_matrix;
-};
-
-/** \geometry_module \ingroup Geometry_Module
-  *
-  * \returns a vector expression that is one longer than the vector argument, with the value 1 symbolically appended as the last coefficient.
-  *
-  * This can be used to convert affine coordinates to homogeneous coordinates.
-  *
-  * \only_for_vectors
-  *
-  * Example: \include MatrixBase_homogeneous.cpp
-  * Output: \verbinclude MatrixBase_homogeneous.out
-  *
-  * \sa VectorwiseOp::homogeneous(), class Homogeneous
-  */
-template<typename Derived>
-EIGEN_DEVICE_FUNC inline typename MatrixBase<Derived>::HomogeneousReturnType
-MatrixBase<Derived>::homogeneous() const
-{
-  EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived);
-  return HomogeneousReturnType(derived());
-}
-
-/** \geometry_module \ingroup Geometry_Module
-  *
-  * \returns an expression where the value 1 is symbolically appended as the final coefficient to each column (or row) of the matrix.
-  *
-  * This can be used to convert affine coordinates to homogeneous coordinates.
-  *
-  * Example: \include VectorwiseOp_homogeneous.cpp
-  * Output: \verbinclude VectorwiseOp_homogeneous.out
-  *
-  * \sa MatrixBase::homogeneous(), class Homogeneous */
-template<typename ExpressionType, int Direction>
-EIGEN_DEVICE_FUNC inline Homogeneous<ExpressionType,Direction>
-VectorwiseOp<ExpressionType,Direction>::homogeneous() const
-{
-  return HomogeneousReturnType(_expression());
-}
-
-/** \geometry_module \ingroup Geometry_Module
-  *
-  * \brief homogeneous normalization
-  *
-  * \returns a vector expression of the N-1 first coefficients of \c *this divided by that last coefficient.
-  *
-  * This can be used to convert homogeneous coordinates to affine coordinates.
-  *
-  * It is essentially a shortcut for:
-  * \code
-    this->head(this->size()-1)/this->coeff(this->size()-1);
-    \endcode
-  *
-  * Example: \include MatrixBase_hnormalized.cpp
-  * Output: \verbinclude MatrixBase_hnormalized.out
-  *
-  * \sa VectorwiseOp::hnormalized() */
-template<typename Derived>
-EIGEN_DEVICE_FUNC inline const typename MatrixBase<Derived>::HNormalizedReturnType
-MatrixBase<Derived>::hnormalized() const
-{
-  EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived);
-  return ConstStartMinusOne(derived(),0,0,
-    ColsAtCompileTime==1?size()-1:1,
-    ColsAtCompileTime==1?1:size()-1) / coeff(size()-1);
-}
-
-/** \geometry_module \ingroup Geometry_Module
-  *
-  * \brief column or row-wise homogeneous normalization
-  *
-  * \returns an expression of the first N-1 coefficients of each column (or row) of \c *this divided by the last coefficient of each column (or row).
-  *
-  * This can be used to convert homogeneous coordinates to affine coordinates.
-  *
-  * It is conceptually equivalent to calling MatrixBase::hnormalized() to each column (or row) of \c *this.
-  *
-  * Example: \include DirectionWise_hnormalized.cpp
-  * Output: \verbinclude DirectionWise_hnormalized.out
-  *
-  * \sa MatrixBase::hnormalized() */
-template<typename ExpressionType, int Direction>
-EIGEN_DEVICE_FUNC inline const typename VectorwiseOp<ExpressionType,Direction>::HNormalizedReturnType
-VectorwiseOp<ExpressionType,Direction>::hnormalized() const
-{
-  return HNormalized_Block(_expression(),0,0,
-      Direction==Vertical   ? _expression().rows()-1 : _expression().rows(),
-      Direction==Horizontal ? _expression().cols()-1 : _expression().cols()).cwiseQuotient(
-      Replicate<HNormalized_Factors,
-                Direction==Vertical   ? HNormalized_SizeMinusOne : 1,
-                Direction==Horizontal ? HNormalized_SizeMinusOne : 1>
-        (HNormalized_Factors(_expression(),
-          Direction==Vertical    ? _expression().rows()-1:0,
-          Direction==Horizontal  ? _expression().cols()-1:0,
-          Direction==Vertical    ? 1 : _expression().rows(),
-          Direction==Horizontal  ? 1 : _expression().cols()),
-         Direction==Vertical   ? _expression().rows()-1 : 1,
-         Direction==Horizontal ? _expression().cols()-1 : 1));
-}
-
-namespace internal {
-
-template<typename MatrixOrTransformType>
-struct take_matrix_for_product
-{
-  typedef MatrixOrTransformType type;
-  EIGEN_DEVICE_FUNC static const type& run(const type &x) { return x; }
-};
-
-template<typename Scalar, int Dim, int Mode,int Options>
-struct take_matrix_for_product<Transform<Scalar, Dim, Mode, Options> >
-{
-  typedef Transform<Scalar, Dim, Mode, Options> TransformType;
-  typedef typename internal::add_const<typename TransformType::ConstAffinePart>::type type;
-  EIGEN_DEVICE_FUNC static type run (const TransformType& x) { return x.affine(); }
-};
-
-template<typename Scalar, int Dim, int Options>
-struct take_matrix_for_product<Transform<Scalar, Dim, Projective, Options> >
-{
-  typedef Transform<Scalar, Dim, Projective, Options> TransformType;
-  typedef typename TransformType::MatrixType type;
-  EIGEN_DEVICE_FUNC static const type& run (const TransformType& x) { return x.matrix(); }
-};
-
-template<typename MatrixType,typename Lhs>
-struct traits<homogeneous_left_product_impl<Homogeneous<MatrixType,Vertical>,Lhs> >
-{
-  typedef typename take_matrix_for_product<Lhs>::type LhsMatrixType;
-  typedef typename remove_all<MatrixType>::type MatrixTypeCleaned;
-  typedef typename remove_all<LhsMatrixType>::type LhsMatrixTypeCleaned;
-  typedef typename make_proper_matrix_type<
-                 typename traits<MatrixTypeCleaned>::Scalar,
-                 LhsMatrixTypeCleaned::RowsAtCompileTime,
-                 MatrixTypeCleaned::ColsAtCompileTime,
-                 MatrixTypeCleaned::PlainObject::Options,
-                 LhsMatrixTypeCleaned::MaxRowsAtCompileTime,
-                 MatrixTypeCleaned::MaxColsAtCompileTime>::type ReturnType;
-};
-
-template<typename MatrixType,typename Lhs>
-struct homogeneous_left_product_impl<Homogeneous<MatrixType,Vertical>,Lhs>
-  : public ReturnByValue<homogeneous_left_product_impl<Homogeneous<MatrixType,Vertical>,Lhs> >
-{
-  typedef typename traits<homogeneous_left_product_impl>::LhsMatrixType LhsMatrixType;
-  typedef typename remove_all<LhsMatrixType>::type LhsMatrixTypeCleaned;
-  typedef typename remove_all<typename LhsMatrixTypeCleaned::Nested>::type LhsMatrixTypeNested;
-  EIGEN_DEVICE_FUNC homogeneous_left_product_impl(const Lhs& lhs, const MatrixType& rhs)
-    : m_lhs(take_matrix_for_product<Lhs>::run(lhs)),
-      m_rhs(rhs)
-  {}
-
-  EIGEN_DEVICE_FUNC inline Index rows() const { return m_lhs.rows(); }
-  EIGEN_DEVICE_FUNC inline Index cols() const { return m_rhs.cols(); }
-
-  template<typename Dest> EIGEN_DEVICE_FUNC void evalTo(Dest& dst) const
-  {
-    // FIXME investigate how to allow lazy evaluation of this product when possible
-    dst = Block<const LhsMatrixTypeNested,
-              LhsMatrixTypeNested::RowsAtCompileTime,
-              LhsMatrixTypeNested::ColsAtCompileTime==Dynamic?Dynamic:LhsMatrixTypeNested::ColsAtCompileTime-1>
-            (m_lhs,0,0,m_lhs.rows(),m_lhs.cols()-1) * m_rhs;
-    dst += m_lhs.col(m_lhs.cols()-1).rowwise()
-            .template replicate<MatrixType::ColsAtCompileTime>(m_rhs.cols());
-  }
-
-  typename LhsMatrixTypeCleaned::Nested m_lhs;
-  typename MatrixType::Nested m_rhs;
-};
-
-template<typename MatrixType,typename Rhs>
-struct traits<homogeneous_right_product_impl<Homogeneous<MatrixType,Horizontal>,Rhs> >
-{
-  typedef typename make_proper_matrix_type<typename traits<MatrixType>::Scalar,
-                 MatrixType::RowsAtCompileTime,
-                 Rhs::ColsAtCompileTime,
-                 MatrixType::PlainObject::Options,
-                 MatrixType::MaxRowsAtCompileTime,
-                 Rhs::MaxColsAtCompileTime>::type ReturnType;
-};
-
-template<typename MatrixType,typename Rhs>
-struct homogeneous_right_product_impl<Homogeneous<MatrixType,Horizontal>,Rhs>
-  : public ReturnByValue<homogeneous_right_product_impl<Homogeneous<MatrixType,Horizontal>,Rhs> >
-{
-  typedef typename remove_all<typename Rhs::Nested>::type RhsNested;
-  EIGEN_DEVICE_FUNC homogeneous_right_product_impl(const MatrixType& lhs, const Rhs& rhs)
-    : m_lhs(lhs), m_rhs(rhs)
-  {}
-
-  EIGEN_DEVICE_FUNC inline Index rows() const { return m_lhs.rows(); }
-  EIGEN_DEVICE_FUNC inline Index cols() const { return m_rhs.cols(); }
-
-  template<typename Dest> EIGEN_DEVICE_FUNC void evalTo(Dest& dst) const
-  {
-    // FIXME investigate how to allow lazy evaluation of this product when possible
-    dst = m_lhs * Block<const RhsNested,
-                        RhsNested::RowsAtCompileTime==Dynamic?Dynamic:RhsNested::RowsAtCompileTime-1,
-                        RhsNested::ColsAtCompileTime>
-            (m_rhs,0,0,m_rhs.rows()-1,m_rhs.cols());
-    dst += m_rhs.row(m_rhs.rows()-1).colwise()
-            .template replicate<MatrixType::RowsAtCompileTime>(m_lhs.rows());
-  }
-
-  typename MatrixType::Nested m_lhs;
-  typename Rhs::Nested m_rhs;
-};
-
-template<typename ArgType,int Direction>
-struct evaluator_traits<Homogeneous<ArgType,Direction> >
-{
-  typedef typename storage_kind_to_evaluator_kind<typename ArgType::StorageKind>::Kind Kind;
-  typedef HomogeneousShape Shape;  
-};
-
-template<> struct AssignmentKind<DenseShape,HomogeneousShape> { typedef Dense2Dense Kind; };
-
-
-template<typename ArgType,int Direction>
-struct unary_evaluator<Homogeneous<ArgType,Direction>, IndexBased>
-  : evaluator<typename Homogeneous<ArgType,Direction>::PlainObject >
-{
-  typedef Homogeneous<ArgType,Direction> XprType;
-  typedef typename XprType::PlainObject PlainObject;
-  typedef evaluator<PlainObject> Base;
-
-  EIGEN_DEVICE_FUNC explicit unary_evaluator(const XprType& op)
-    : Base(), m_temp(op)
-  {
-    ::new (static_cast<Base*>(this)) Base(m_temp);
-  }
-
-protected:
-  PlainObject m_temp;
-};
-
-// dense = homogeneous
-template< typename DstXprType, typename ArgType, typename Scalar>
-struct Assignment<DstXprType, Homogeneous<ArgType,Vertical>, internal::assign_op<Scalar,typename ArgType::Scalar>, Dense2Dense>
-{
-  typedef Homogeneous<ArgType,Vertical> SrcXprType;
-  EIGEN_DEVICE_FUNC static void run(DstXprType &dst, const SrcXprType &src, const internal::assign_op<Scalar,typename ArgType::Scalar> &)
-  {
-    Index dstRows = src.rows();
-    Index dstCols = src.cols();
-    if((dst.rows()!=dstRows) || (dst.cols()!=dstCols))
-      dst.resize(dstRows, dstCols);
-
-    dst.template topRows<ArgType::RowsAtCompileTime>(src.nestedExpression().rows()) = src.nestedExpression();
-    dst.row(dst.rows()-1).setOnes();
-  }
-};
-
-// dense = homogeneous
-template< typename DstXprType, typename ArgType, typename Scalar>
-struct Assignment<DstXprType, Homogeneous<ArgType,Horizontal>, internal::assign_op<Scalar,typename ArgType::Scalar>, Dense2Dense>
-{
-  typedef Homogeneous<ArgType,Horizontal> SrcXprType;
-  EIGEN_DEVICE_FUNC static void run(DstXprType &dst, const SrcXprType &src, const internal::assign_op<Scalar,typename ArgType::Scalar> &)
-  {
-    Index dstRows = src.rows();
-    Index dstCols = src.cols();
-    if((dst.rows()!=dstRows) || (dst.cols()!=dstCols))
-      dst.resize(dstRows, dstCols);
-
-    dst.template leftCols<ArgType::ColsAtCompileTime>(src.nestedExpression().cols()) = src.nestedExpression();
-    dst.col(dst.cols()-1).setOnes();
-  }
-};
-
-template<typename LhsArg, typename Rhs, int ProductTag>
-struct generic_product_impl<Homogeneous<LhsArg,Horizontal>, Rhs, HomogeneousShape, DenseShape, ProductTag>
-{
-  template<typename Dest>
-  EIGEN_DEVICE_FUNC static void evalTo(Dest& dst, const Homogeneous<LhsArg,Horizontal>& lhs, const Rhs& rhs)
-  {
-    homogeneous_right_product_impl<Homogeneous<LhsArg,Horizontal>, Rhs>(lhs.nestedExpression(), rhs).evalTo(dst);
-  }
-};
-
-template<typename Lhs,typename Rhs>
-struct homogeneous_right_product_refactoring_helper
-{
-  enum {
-    Dim  = Lhs::ColsAtCompileTime,
-    Rows = Lhs::RowsAtCompileTime
-  };
-  typedef typename Rhs::template ConstNRowsBlockXpr<Dim>::Type          LinearBlockConst;
-  typedef typename remove_const<LinearBlockConst>::type                 LinearBlock;
-  typedef typename Rhs::ConstRowXpr                                     ConstantColumn;
-  typedef Replicate<const ConstantColumn,Rows,1>                        ConstantBlock;
-  typedef Product<Lhs,LinearBlock,LazyProduct>                          LinearProduct;
-  typedef CwiseBinaryOp<internal::scalar_sum_op<typename Lhs::Scalar,typename Rhs::Scalar>, const LinearProduct, const ConstantBlock> Xpr;
-};
-
-template<typename Lhs, typename Rhs, int ProductTag>
-struct product_evaluator<Product<Lhs, Rhs, LazyProduct>, ProductTag, HomogeneousShape, DenseShape>
- : public evaluator<typename homogeneous_right_product_refactoring_helper<typename Lhs::NestedExpression,Rhs>::Xpr>
-{
-  typedef Product<Lhs, Rhs, LazyProduct> XprType;
-  typedef homogeneous_right_product_refactoring_helper<typename Lhs::NestedExpression,Rhs> helper;
-  typedef typename helper::ConstantBlock ConstantBlock;
-  typedef typename helper::Xpr RefactoredXpr;
-  typedef evaluator<RefactoredXpr> Base;
-  
-  EIGEN_DEVICE_FUNC explicit product_evaluator(const XprType& xpr)
-    : Base(  xpr.lhs().nestedExpression() .lazyProduct(  xpr.rhs().template topRows<helper::Dim>(xpr.lhs().nestedExpression().cols()) )
-            + ConstantBlock(xpr.rhs().row(xpr.rhs().rows()-1),xpr.lhs().rows(), 1) )
-  {}
-};
-
-template<typename Lhs, typename RhsArg, int ProductTag>
-struct generic_product_impl<Lhs, Homogeneous<RhsArg,Vertical>, DenseShape, HomogeneousShape, ProductTag>
-{
-  template<typename Dest>
-  EIGEN_DEVICE_FUNC static void evalTo(Dest& dst, const Lhs& lhs, const Homogeneous<RhsArg,Vertical>& rhs)
-  {
-    homogeneous_left_product_impl<Homogeneous<RhsArg,Vertical>, Lhs>(lhs, rhs.nestedExpression()).evalTo(dst);
-  }
-};
-
-// TODO: the following specialization is to address a regression from 3.2 to 3.3
-// In the future, this path should be optimized.
-template<typename Lhs, typename RhsArg, int ProductTag>
-struct generic_product_impl<Lhs, Homogeneous<RhsArg,Vertical>, TriangularShape, HomogeneousShape, ProductTag>
-{
-  template<typename Dest>
-  static void evalTo(Dest& dst, const Lhs& lhs, const Homogeneous<RhsArg,Vertical>& rhs)
-  {
-    dst.noalias() = lhs * rhs.eval();
-  }
-};
-
-template<typename Lhs,typename Rhs>
-struct homogeneous_left_product_refactoring_helper
-{
-  enum {
-    Dim = Rhs::RowsAtCompileTime,
-    Cols = Rhs::ColsAtCompileTime
-  };
-  typedef typename Lhs::template ConstNColsBlockXpr<Dim>::Type          LinearBlockConst;
-  typedef typename remove_const<LinearBlockConst>::type                 LinearBlock;
-  typedef typename Lhs::ConstColXpr                                     ConstantColumn;
-  typedef Replicate<const ConstantColumn,1,Cols>                        ConstantBlock;
-  typedef Product<LinearBlock,Rhs,LazyProduct>                          LinearProduct;
-  typedef CwiseBinaryOp<internal::scalar_sum_op<typename Lhs::Scalar,typename Rhs::Scalar>, const LinearProduct, const ConstantBlock> Xpr;
-};
-
-template<typename Lhs, typename Rhs, int ProductTag>
-struct product_evaluator<Product<Lhs, Rhs, LazyProduct>, ProductTag, DenseShape, HomogeneousShape>
- : public evaluator<typename homogeneous_left_product_refactoring_helper<Lhs,typename Rhs::NestedExpression>::Xpr>
-{
-  typedef Product<Lhs, Rhs, LazyProduct> XprType;
-  typedef homogeneous_left_product_refactoring_helper<Lhs,typename Rhs::NestedExpression> helper;
-  typedef typename helper::ConstantBlock ConstantBlock;
-  typedef typename helper::Xpr RefactoredXpr;
-  typedef evaluator<RefactoredXpr> Base;
-  
-  EIGEN_DEVICE_FUNC explicit product_evaluator(const XprType& xpr)
-    : Base(   xpr.lhs().template leftCols<helper::Dim>(xpr.rhs().nestedExpression().rows()) .lazyProduct( xpr.rhs().nestedExpression() )
-            + ConstantBlock(xpr.lhs().col(xpr.lhs().cols()-1),1,xpr.rhs().cols()) )
-  {}
-};
-
-template<typename Scalar, int Dim, int Mode,int Options, typename RhsArg, int ProductTag>
-struct generic_product_impl<Transform<Scalar,Dim,Mode,Options>, Homogeneous<RhsArg,Vertical>, DenseShape, HomogeneousShape, ProductTag>
-{
-  typedef Transform<Scalar,Dim,Mode,Options> TransformType;
-  template<typename Dest>
-  EIGEN_DEVICE_FUNC static void evalTo(Dest& dst, const TransformType& lhs, const Homogeneous<RhsArg,Vertical>& rhs)
-  {
-    homogeneous_left_product_impl<Homogeneous<RhsArg,Vertical>, TransformType>(lhs, rhs.nestedExpression()).evalTo(dst);
-  }
-};
-
-template<typename ExpressionType, int Side, bool Transposed>
-struct permutation_matrix_product<ExpressionType, Side, Transposed, HomogeneousShape>
-  : public permutation_matrix_product<ExpressionType, Side, Transposed, DenseShape>
-{};
-
-} // end namespace internal
-
-} // end namespace Eigen
-
-#endif // EIGEN_HOMOGENEOUS_H