boundingsphere.hh

Go to the documentation of this file.

// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
// vi: set et ts=4 sw=4 sts=4:
/*****************************************************************************
 *   See the file COPYING for full copying permissions.                      *
 *                                                                           *
 *   This program is free software: you can redistribute it and/or modify    *
 *   it under the terms of the GNU General Public License as published by    *
 *   the Free Software Foundation, either version 3 of the License, or       *
 *   (at your option) any later version.                                     *
 *                                                                           *
 *   This program is distributed in the hope that it will be useful,         *
 *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
 *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the           *
 *   GNU General Public License for more details.                            *
 *                                                                           *
 *   You should have received a copy of the GNU General Public License       *
 *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
 *****************************************************************************/
#ifndef DUMUX_GEOMETRY_BOUNDINGSPHERE_HH
#define DUMUX_GEOMETRY_BOUNDINGSPHERE_HH
 
#include <algorithm>
#include <vector>
 
#include <dumux/geometry/sphere.hh>
 
namespace Dumux {
 
template<class ConvexGeometry>
static inline Sphere<typename ConvexGeometry::ctype, ConvexGeometry::coorddimension>
boundingSphere(const ConvexGeometry& geometry)
{
    constexpr int dimWorld = ConvexGeometry::coorddimension;
    assert(geometry.corners() >= 1);
 
    auto corner = geometry.corner(0);
    auto xMin = corner, xMax = corner;
    using std::max; using std::min;
 
    // Compute the min and max over the remaining vertices
    for (std::size_t i = 1; i < geometry.corners(); ++i)
    {
        corner = geometry.corner(i);
        for (std::size_t dimIdx = 0; dimIdx < dimWorld; ++dimIdx)
        {
            xMin[dimIdx] = min(xMin[dimIdx], corner[dimIdx]);
            xMax[dimIdx] = max(xMax[dimIdx], corner[dimIdx]);
        }
    }
 
    auto center = 0.5*xMax + xMin;
    auto radius = (center-xMax).two_norm();
    return { std::move(center), std::move(radius) };
}
 
namespace Detail {
template<class Scalar, int dim>
struct PointsToGeometryWrapper
{
    const std::vector<Dune::FieldVector<Scalar, dim>>& points_;
    PointsToGeometryWrapper(const std::vector<Dune::FieldVector<Scalar, dim>>& points)
    : points_(points) {}
 
    static constexpr int coorddimension = dim;
    using ctype = Scalar;
 
    auto corners() const { return points_.size(); }
    const auto& corner(std::size_t i) const { return points_[i]; }
};
} // end namespace Detail
 
template<class Scalar, int dim>
static inline Sphere<Scalar, dim>
boundingSphere(const std::vector<Dune::FieldVector<Scalar, dim>>& points)
{
    Detail::PointsToGeometryWrapper<Scalar, dim> geometry(points);
    return boundingSphere(geometry);
}
 
} // end namespace Dumux
 
#endif