shapes_impl.h

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/*
 * Copyright (c) 2013-2015:  G-CSC, Goethe University Frankfurt
 * Author: Sebastian Reiter
 * 
 * This file is part of UG4.
 * 
 * UG4 is free software: you can redistribute it and/or modify it under the
 * terms of the GNU Lesser General Public License version 3 (as published by the
 * Free Software Foundation) with the following additional attribution
 * requirements (according to LGPL/GPL v3 §7):
 * 
 * (1) The following notice must be displayed in the Appropriate Legal Notices
 * of covered and combined works: "Based on UG4 (www.ug4.org/license)".
 * 
 * (2) The following notice must be displayed at a prominent place in the
 * terminal output of covered works: "Based on UG4 (www.ug4.org/license)".
 * 
 * (3) The following bibliography is recommended for citation and must be
 * preserved in all covered files:
 * "Reiter, S., Vogel, A., Heppner, I., Rupp, M., and Wittum, G. A massively
 *   parallel geometric multigrid solver on hierarchically distributed grids.
 *   Computing and visualization in science 16, 4 (2013), 151-164"
 * "Vogel, A., Reiter, S., Rupp, M., Nägel, A., and Wittum, G. UG4 -- a novel
 *   flexible software system for simulating pde based models on high performance
 *   computers. Computing and visualization in science 16, 4 (2013), 165-179"
 * 
 * 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 Lesser General Public License for more details.
 */
 
#ifndef __H__UG__shapes_impl__
#define __H__UG__shapes_impl__
 
#include "shapes.h"
 
namespace ug{
 
template <class vector_t>
bool Sphere<vector_t>::contains_point(const vector_t& p) const
{
  return VecDistanceSq(center, p) <= sq(radius);
}
 
template <class vector_t>
bool Sphere<vector_t>::intersects(const Sphere& sphere) const
{
  return VecDistanceSq(center, sphere.center)
       <= sq(radius + sphere.radius);
}
 
 
 
template <class vector_t>
AABox<vector_t>::AABox(const vector_t* points, size_t numPoints)
{
  if(numPoints < 1){
    VecSet(min, 0);
    VecSet(max, 0);
    return;
  }
 
  min = max = points[0];
 
  for(size_t i = 1; i < numPoints; ++i){
    const vector_t& p = points[i];
    for(size_t j = 0; j < vector_t::Size; ++j){
      min[j] = std::min(min[j], p[j]);
      max[j] = std::max(max[j], p[j]);
    }
  }
}
 
template <class vector_t>
AABox<vector_t>::AABox(const AABox& b1, const AABox& b2)
{
  for(size_t j = 0; j < vector_t::Size; ++j){
    min[j] = std::min(b1.min[j], b2.min[j]);
    max[j] = std::max(b1.max[j], b2.max[j]);
  }
}
 
template <class vector_t>
AABox<vector_t>::AABox(const Sphere<vector_t>& s)
{
  vector_t vrad;
  SetVec(vrad, s.radius);
  VecSubtract(min, s.center, vrad);
  VecAdd(max, s.center, vrad);
}
 
template <class vector_t>
AABox<vector_t>::AABox(const AABox& b, const vector_t& v)
{
  for(size_t j = 0; j < vector_t::Size; ++j){
    min[j] = std::min(b.min[j], v[j]);
    max[j] = std::max(b.max[j], v[j]);
  }
}
 
template <class vector_t>
vector_t AABox<vector_t>::center() const
{
  vector_t v;
  VecAdd(v, max, min);
  VecScale(v, v, 0.5);
  return v;
}
 
template <class vector_t>
vector_t AABox<vector_t>::extension() const
{
  vector_t v;
  VecSubtract(v, max, min);
  return v;
}
 
template <class vector_t>
bool AABox<vector_t>::contains_point(const vector_t& point) const
{
  return BoxBoundProbe(point, min, max);
}
 
template <class vector_t>
bool AABox<vector_t>::overlaps_line(const vector_t& point1, const vector_t& point2) const
{
  vector_t lmin, lmax;
  lmin = lmax = point1;
  for (size_t i = 0; i < vector_t::Size; i++) {
    lmin[i] = std::min(lmin[i], point2[i]);
    lmax[i] = std::max(lmax[i], point2[i]);
  }
  return BoxBoxIntersection(lmin, lmax, min, max);
}
 
}// end of namespace
 
#endif