DTK_SplineEvaluationMatrix_impl.hpp

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

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  modification, are permitted provided that the following conditions are
  met:

  *: Redistributions of source code must retain the above copyright
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  *: 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
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*/
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//---------------------------------------------------------------------------//

#ifndef DTK_SPLINEEVALUATIONMATRIX_IMPL_HPP
#define DTK_SPLINEEVALUATIONMATRIX_IMPL_HPP

#include "DTK_DBC.hpp"
#include "DTK_EuclideanDistance.hpp"
#include "DTK_SplineEvaluationMatrix.hpp"

#include <Teuchos_Array.hpp>

namespace DataTransferKit
{
//---------------------------------------------------------------------------//
template <class Basis, int DIM>
SplineEvaluationMatrix<Basis, DIM>::SplineEvaluationMatrix(
    const Teuchos::RCP<const Tpetra::Map<int, SupportId>> &domain_map,
    const Teuchos::RCP<const Tpetra::Map<int, SupportId>> &range_map,
    const Teuchos::ArrayView<const double> &target_centers,
    const Teuchos::ArrayView<const SupportId> &target_center_gids,
    const Teuchos::ArrayView<const double> &dist_source_centers,
    const Teuchos::ArrayView<const SupportId> &dist_source_center_gids,
    const SplineInterpolationPairing<DIM> &target_pairings, const Basis &basis )
{
    DTK_CHECK( 0 == target_centers.size() % DIM );
    DTK_CHECK( target_centers.size() / DIM == target_center_gids.size() );
    DTK_CHECK( 0 == dist_source_centers.size() % DIM );
    DTK_CHECK( dist_source_centers.size() / DIM ==
               dist_source_center_gids.size() );

    // Get the number of target centers.
    unsigned num_target_centers = target_center_gids.size();

    // Create the Q matrix.
    int offset = DIM + 1;
    Teuchos::RCP<Tpetra::MultiVector<double, int, SupportId>> Q_vec =
        Tpetra::createMultiVector<double, int, SupportId>( range_map, offset );
    int di = 0;
    for ( unsigned i = 0; i < num_target_centers; ++i )
    {
        Q_vec->replaceGlobalValue( target_center_gids[i], 0, 1.0 );
        di = DIM * i;
        for ( int d = 0; d < DIM; ++d )
        {
            Q_vec->replaceGlobalValue( target_center_gids[i], d + 1,
                                       target_centers[di + d] );
        }
    }
    d_Q = Teuchos::rcp( new PolynomialMatrix( Q_vec, domain_map, range_map ) );

    // Create the N matrix.
    Teuchos::ArrayRCP<SupportId> children_per_parent =
        target_pairings.childrenPerParent();
    SupportId max_entries_per_row = *std::max_element(
        children_per_parent.begin(), children_per_parent.end() );
    d_N = Teuchos::rcp( new Tpetra::CrsMatrix<double, int, SupportId>(
        range_map, max_entries_per_row ) );
    Teuchos::Array<SupportId> N_indices( max_entries_per_row );
    Teuchos::Array<double> values( max_entries_per_row );
    int dj = 0;
    Teuchos::ArrayView<const unsigned> target_neighbors;
    double dist = 0.0;
    int ntn = 0;
    double radius = 0.0;
    for ( unsigned i = 0; i < num_target_centers; ++i )
    {
        di = DIM * i;

        // Get the source points neighboring this target point.
        target_neighbors = target_pairings.childCenterIds( i );
        ntn = target_neighbors.size();
        radius = target_pairings.parentSupportRadius( i );

        // Add the local basis contributions.
        for ( int j = 0; j < ntn; ++j )
        {
            dj = DIM * target_neighbors[j];

            N_indices[j] = dist_source_center_gids[target_neighbors[j]];

            dist = EuclideanDistance<DIM>::distance( &target_centers[di],
                                                     &dist_source_centers[dj] );

            values[j] = BP::evaluateValue( basis, radius, dist );
        }

        d_N->insertGlobalValues( target_center_gids[i], N_indices( 0, ntn ),
                                 values( 0, ntn ) );
    }
    d_N->fillComplete( domain_map, range_map );

    DTK_ENSURE( d_N->isFillComplete() );
}

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

} // end namespace DataTransferKit

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

#endif // end DTK_SPLINEEVALUATIONMATRIX_IMPL_HPP

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// end DTK_SplineEvaluationMatrix_impl.hpp
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