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//
// Copyright (C) 2014 - 2016 by the deal.II authors
//
// This file is part of the deal.II library.
//
// The deal.II library is free software; you can use it, redistribute
// it, and/or modify it under the terms of the GNU Lesser General
// Public License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
// The full text of the license can be found in the file LICENSE at
// the top level of the deal.II distribution.
//
// ---------------------------------------------------------------------
#ifndef dealii__matrix_free_mapping_data_on_the_fly_h
#define dealii__matrix_free_mapping_data_on_the_fly_h
#include <deal.II/base/config.h>
#include <deal.II/base/exceptions.h>
#include <deal.II/base/subscriptor.h>
#include <deal.II/base/vectorization.h>
#include <deal.II/base/aligned_vector.h>
#include <deal.II/matrix_free/shape_info.h>
#include <deal.II/matrix_free/mapping_info.h>
#include <deal.II/fe/fe_values.h>
#include <deal.II/fe/fe_nothing.h>
DEAL_II_NAMESPACE_OPEN
namespace internal
{
namespace MatrixFreeFunctions
{
/**
* This class provides evaluated mapping information using standard
* deal.II information in a form that FEEvaluation and friends can use for
* vectorized access. Since no vectorization over cells is available with
* the DoFHandler/Triangulation cell iterators, the interface to
* FEEvaluation's vectorization model is to use @p
* VectorizedArray::n_array_element copies of the same element. This
* interface is thus primarily useful for evaluating several operators on
* the same cell, e.g., when assembling cell matrices.
*
* As opposed to the Mapping classes in deal.II, this class does not
* actually provide a boundary description that can be used to evaluate
* the geometry, but it rather provides the evaluated geometry from a
* given deal.II mapping (as passed to the constructor of this class) in a
* form accessible to FEEvaluation.
*
* @author Martin Kronbichler, 2014
*/
template <int dim, typename Number=double>
class MappingDataOnTheFly
{
public:
/**
* Constructor, similar to FEValues. Since this class only evaluates the
* geometry, no finite element has to be specified and the simplest
* element, FE_Nothing, is used internally for the underlying FEValues
* object.
*/
MappingDataOnTheFly (const Mapping<dim> &mapping,
const Quadrature<1> &quadrature,
const UpdateFlags update_flags);
/**
* Constructor. This constructor is equivalent to the other one except
* that it makes the object use a $Q_1$ mapping (i.e., an object of type
* MappingQGeneric(1)) implicitly.
*/
MappingDataOnTheFly (const Quadrature<1> &quadrature,
const UpdateFlags update_flags);
/**
* Initialize with the given cell iterator.
*/
void reinit(typename dealii::Triangulation<dim>::cell_iterator cell);
/**
* Returns whether reinit() has been called at least once, i.e., a cell
* has been set.
*/
bool is_initialized() const;
/**
* Return a triangulation iterator to the current cell.
*/
typename dealii::Triangulation<dim>::cell_iterator get_cell () const;
/**
* Return a reference to the underlying FEValues object that evaluates
* certain quantities (only mapping-related ones like Jacobians or
* mapped quadrature points are accessible, as no finite element data is
* actually used).
*/
const dealii::FEValues<dim> &get_fe_values () const;
/**
* Return a vector of inverse transpose Jacobians. For compatibility
* with FEEvaluation, it returns tensors of vectorized arrays, even
* though all components are equal.
*/
const AlignedVector<Tensor<2,dim,VectorizedArray<Number> > > &
get_inverse_jacobians() const;
/**
* Return a vector of quadrature weights times the Jacobian determinant
* (JxW). For compatibility with FEEvaluation, it returns tensors of
* vectorized arrays, even though all components are equal.
*/
const AlignedVector<VectorizedArray<Number> > &
get_JxW_values() const;
/**
* Return a vector of quadrature points in real space on the given cell.
* For compatibility with FEEvaluation, it returns tensors of vectorized
* arrays, even though all components are equal.
*/
const AlignedVector<Point<dim,VectorizedArray<Number> > > &
get_quadrature_points() const;
/**
* Return a vector of normal vectors in real space on the given cell.
* For compatibility with FEEvaluation, it returns tensors of vectorized
* arrays, even though all components are equal.
*/
const AlignedVector<Tensor<1,dim,VectorizedArray<Number> > > &
get_normal_vectors() const;
/**
* Return a reference to 1D quadrature underlying this object.
*/
const Quadrature<1> &
get_quadrature () const;
private:
/**
* A cell iterator in case we generate the data on the fly to be able to
* check if we need to re-generate the information stored in this class.
*/
typename dealii::Triangulation<dim>::cell_iterator present_cell;
/**
* Dummy finite element object necessary for initializing the FEValues
* object.
*/
FE_Nothing<dim> fe_dummy;
/**
* An underlying FEValues object that performs the (scalar) evaluation.
*/
dealii::FEValues<dim> fe_values;
/**
* Get 1D quadrature formula to be used for reinitializing shape info.
*/
const Quadrature<1> quadrature_1d;
/**
* Inverse Jacobians, stored in vectorized array form.
*/
AlignedVector<Tensor<2,dim,VectorizedArray<Number> > > inverse_jacobians;
/**
* Stored Jacobian determinants and quadrature weights
*/
AlignedVector<VectorizedArray<Number> > jxw_values;
/**
* Stored quadrature points
*/
AlignedVector<Point<dim,VectorizedArray<Number> > > quadrature_points;
/**
* Stored normal vectors (for face integration)
*/
AlignedVector<Tensor<1,dim,VectorizedArray<Number> > > normal_vectors;
};
/*----------------------- Inline functions ----------------------------------*/
template <int dim, typename Number>
inline
MappingDataOnTheFly<dim,Number>::MappingDataOnTheFly (const Mapping<dim> &mapping,
const Quadrature<1> &quadrature,
const UpdateFlags update_flags)
:
fe_values(mapping, fe_dummy, Quadrature<dim>(quadrature),
internal::MatrixFreeFunctions::MappingInfo<dim,Number>::compute_update_flags(update_flags)),
quadrature_1d(quadrature),
inverse_jacobians(fe_values.get_quadrature().size()),
jxw_values(fe_values.get_quadrature().size()),
quadrature_points(fe_values.get_quadrature().size()),
normal_vectors(fe_values.get_quadrature().size())
{
Assert(!(fe_values.get_update_flags() & update_jacobian_grads),
ExcNotImplemented());
}
template <int dim, typename Number>
inline
MappingDataOnTheFly<dim,Number>::MappingDataOnTheFly (const Quadrature<1> &quadrature,
const UpdateFlags update_flags)
:
fe_values(fe_dummy, Quadrature<dim>(quadrature),
internal::MatrixFreeFunctions::MappingInfo<dim,Number>::compute_update_flags(update_flags)),
quadrature_1d(quadrature),
inverse_jacobians(fe_values.get_quadrature().size()),
jxw_values(fe_values.get_quadrature().size()),
quadrature_points(fe_values.get_quadrature().size()),
normal_vectors(fe_values.get_quadrature().size())
{
Assert(!(fe_values.get_update_flags() & update_jacobian_grads),
ExcNotImplemented());
}
template <int dim, typename Number>
inline
void
MappingDataOnTheFly<dim,Number>::reinit(typename dealii::Triangulation<dim>::cell_iterator cell)
{
if (present_cell == cell)
return;
present_cell = cell;
fe_values.reinit(present_cell);
for (unsigned int q=0; q<fe_values.get_quadrature().size(); ++q)
{
if (fe_values.get_update_flags() & update_inverse_jacobians)
for (unsigned int d=0; d<dim; ++d)
for (unsigned int e=0; e<dim; ++e)
inverse_jacobians[q][d][e] = fe_values.inverse_jacobian(q)[e][d];
if (fe_values.get_update_flags() & update_quadrature_points)
for (unsigned int d=0; d<dim; ++d)
quadrature_points[q][d] = fe_values.quadrature_point(q)[d];
if (fe_values.get_update_flags() & update_normal_vectors)
for (unsigned int d=0; d<dim; ++d)
normal_vectors[q][d] = fe_values.normal_vector(q)[d];
if (fe_values.get_update_flags() & update_JxW_values)
jxw_values[q] = fe_values.JxW(q);
}
}
template <int dim, typename Number>
inline
bool
MappingDataOnTheFly<dim,Number>::is_initialized() const
{
return present_cell != typename dealii::Triangulation<dim>::cell_iterator();
}
template <int dim, typename Number>
inline
typename dealii::Triangulation<dim>::cell_iterator
MappingDataOnTheFly<dim,Number>::get_cell() const
{
return fe_values.get_cell();
}
template <int dim, typename Number>
inline
const dealii::FEValues<dim> &
MappingDataOnTheFly<dim,Number>::get_fe_values() const
{
return fe_values;
}
template <int dim, typename Number>
inline
const AlignedVector<Tensor<2,dim,VectorizedArray<Number> > > &
MappingDataOnTheFly<dim,Number>::get_inverse_jacobians() const
{
return inverse_jacobians;
}
template <int dim, typename Number>
inline
const AlignedVector<Tensor<1,dim,VectorizedArray<Number> > > &
MappingDataOnTheFly<dim,Number>::get_normal_vectors() const
{
return normal_vectors;
}
template <int dim, typename Number>
inline
const AlignedVector<Point<dim,VectorizedArray<Number> > > &
MappingDataOnTheFly<dim,Number>::get_quadrature_points() const
{
return quadrature_points;
}
template <int dim, typename Number>
inline
const AlignedVector<VectorizedArray<Number> > &
MappingDataOnTheFly<dim,Number>::get_JxW_values() const
{
return jxw_values;
}
template <int dim, typename Number>
inline
const Quadrature<1> &
MappingDataOnTheFly<dim,Number>::get_quadrature() const
{
return quadrature_1d;
}
} // end of namespace MatrixFreeFunctions
} // end of namespace internal
DEAL_II_NAMESPACE_CLOSE
#endif
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