DTK_IntrepidCell.cpp

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//---------------------------------------------------------------------------//
/*
  Copyright (c) 2012, Stuart R. Slattery
  All rights reserved.

  Redistribution and use in source and binary forms, with or without
  modification, are permitted provided that the following conditions are
  met:

  *: Redistributions of source code must retain the above copyright
  notice, this list of conditions and the following disclaimer.

  *: Redistributions in binary form must reproduce the above copyright
  notice, this list of conditions and the following disclaimer in the
  documentation and/or other materials provided with the distribution.

  *: Neither the name of the University of Wisconsin - Madison nor the
  names of its contributors may be used to endorse or promote products
  derived from this software without specific prior written permission.

  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
  "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
  LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
  A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
  HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
  SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
  LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
  DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
  THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
  (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
  OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
//---------------------------------------------------------------------------//
//---------------------------------------------------------------------------//

#include "DTK_DBC.hpp"

#include "DTK_IntrepidCell.hpp"

#include <Teuchos_as.hpp>

#include <Intrepid_CellTools.hpp>
#include <Intrepid_DefaultCubatureFactory.hpp>
#include <Intrepid_FunctionSpaceTools.hpp>
#include <Intrepid_Types.hpp>

namespace DataTransferKit
{
//---------------------------------------------------------------------------//
IntrepidCell::IntrepidCell( const shards::CellTopology &cell_topology,
                            const unsigned degree )
    : d_topology( cell_topology )
    , d_cub_points( 0, 0 )
    , d_cub_weights( 0 )
    , d_jacobian( 0, 0, 0, 0 )
    , d_jacobian_det( 0, 0 )
    , d_weighted_measures( 0, 0 )
    , d_physical_ip_coordinates( 0, 0, 0 )
{
    Intrepid::DefaultCubatureFactory<Scalar, MDArray> cub_factory;
    d_cubature = cub_factory.create( d_topology, degree );

    unsigned num_cub_points = d_cubature->getNumPoints();
    unsigned cub_dim = cell_topology.getDimension();

    d_cub_points.resize( num_cub_points, cub_dim );
    d_cub_weights.resize( num_cub_points );
    d_cubature->getCubature( d_cub_points, d_cub_weights );
}

//---------------------------------------------------------------------------//
IntrepidCell::~IntrepidCell() { /* ... */}

//---------------------------------------------------------------------------//
void IntrepidCell::setCellNodeCoordinates( const MDArray &cell_node_coords )
{
    d_cell_node_coords = cell_node_coords;
}

//---------------------------------------------------------------------------//
void IntrepidCell::allocateCellState( const MDArray &cell_node_coords )
{
    // Store the cell node coords as the current state.
    setCellNodeCoordinates( cell_node_coords );

    // Get required dimensions.
    int num_cells = d_cell_node_coords.dimension( 0 );
    int num_ip = d_cub_points.dimension( 0 );
    int space_dim = d_cub_points.dimension( 1 );

    // Resize arrays.
    d_jacobian.resize( num_cells, num_ip, space_dim, space_dim );
    d_jacobian_det.resize( num_cells, num_ip );
    d_weighted_measures.resize( num_cells, num_ip );
    d_physical_ip_coordinates.resize( num_cells, num_ip, space_dim );
}

//---------------------------------------------------------------------------//
void IntrepidCell::updateCellState()
{
    // Compute the Jacobian.
    Intrepid::CellTools<Scalar>::setJacobian( d_jacobian, d_cub_points,
                                              d_cell_node_coords, d_topology );

    // Compute the determinant of the Jacobian.
    Intrepid::CellTools<Scalar>::setJacobianDet( d_jacobian_det, d_jacobian );

    // Compute the cell measures.
    Intrepid::FunctionSpaceTools::computeCellMeasure<Scalar>(
        d_weighted_measures, d_jacobian_det, d_cub_weights );

    // Compute physical frame integration point coordinates.
    Intrepid::CellTools<Scalar>::mapToPhysicalFrame(
        d_physical_ip_coordinates, d_cub_points, d_cell_node_coords,
        d_topology );
}

//---------------------------------------------------------------------------//
void IntrepidCell::updateState( IntrepidCell &intrepid_cell,
                                const MDArray &cell_node_coords )
{
    intrepid_cell.allocateCellState( cell_node_coords );
    intrepid_cell.updateCellState();
}

//---------------------------------------------------------------------------//
void IntrepidCell::mapToCellReferenceFrame( const MDArray &physical_coords,
                                            MDArray &reference_coords )
{
    DTK_REQUIRE( 2 == physical_coords.rank() );
    DTK_REQUIRE( 2 == reference_coords.rank() );
    Intrepid::CellTools<Scalar>::mapToReferenceFrame(
        reference_coords, physical_coords, d_cell_node_coords, d_topology, 0 );
}

//---------------------------------------------------------------------------//
void IntrepidCell::mapToCellPhysicalFrame( const MDArray &parametric_coords,
                                           MDArray &physical_coords )
{
    DTK_REQUIRE( 2 == parametric_coords.rank() );
    DTK_REQUIRE( 3 == physical_coords.rank() );
    DTK_REQUIRE( parametric_coords.dimension( 1 ) ==
                 Teuchos::as<int>( d_topology.getDimension() ) );
    DTK_REQUIRE( physical_coords.dimension( 0 ) ==
                 d_cell_node_coords.dimension( 0 ) );
    DTK_REQUIRE( physical_coords.dimension( 1 ) ==
                 parametric_coords.dimension( 0 ) );
    DTK_REQUIRE( physical_coords.dimension( 2 ) ==
                 Teuchos::as<int>( d_topology.getDimension() ) );

    Intrepid::CellTools<Scalar>::mapToPhysicalFrame(
        physical_coords, parametric_coords, d_cell_node_coords, d_topology );
}

//---------------------------------------------------------------------------//
bool IntrepidCell::pointInReferenceCell( const MDArray &reference_point,
                                         const double tolerance )
{
    return Intrepid::CellTools<Scalar>::checkPointsetInclusion(
        reference_point, d_topology, tolerance );
}

//---------------------------------------------------------------------------//
bool IntrepidCell::pointInPhysicalCell( const MDArray &point,
                                        const double tolerance )
{
    MDArray reference_point( point );
    reference_point.initialize();
    mapToCellReferenceFrame( point, reference_point );
    return pointInReferenceCell( reference_point, tolerance );
}

//---------------------------------------------------------------------------//
int IntrepidCell::getNumCells() const
{
    return d_weighted_measures.dimension( 0 );
}

//---------------------------------------------------------------------------//
int IntrepidCell::getNumIntegrationPoints() const
{
    return d_cub_points.dimension( 0 );
}

//---------------------------------------------------------------------------//
int IntrepidCell::getSpatialDimension() const
{
    return d_cub_points.dimension( 1 );
}

//---------------------------------------------------------------------------//
void IntrepidCell::getCellMeasures( MDArray &cell_measures ) const
{
    DTK_REQUIRE( 1 == cell_measures.rank() );
    DTK_REQUIRE( cell_measures.dimension( 0 ) ==
                 d_weighted_measures.dimension( 0 ) );

    MDArray dofs( d_cell_node_coords.dimension( 0 ),
                  d_cub_weights.dimension( 0 ) );
    dofs.initialize( 1.0 );
    integrate( dofs, cell_measures );
}

//---------------------------------------------------------------------------//
// Get the physical cell point coordinates in each cell
// (Cell,IP,Dim).
void IntrepidCell::getPhysicalIntegrationCoordinates(
    MDArray &physical_ip_coordinates ) const
{
    physical_ip_coordinates = d_physical_ip_coordinates;
}

//---------------------------------------------------------------------------//
void IntrepidCell::integrate( const MDArray &dofs, MDArray &integrals ) const
{
    Intrepid::FunctionSpaceTools::integrate<Scalar>(
        integrals, dofs, d_weighted_measures, Intrepid::COMP_BLAS );
}

//---------------------------------------------------------------------------//

} // end namespace DataTransferKit

//---------------------------------------------------------------------------//
// end DTK_IntrepidCell.cpp
//---------------------------------------------------------------------------//