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 *  ConvexHull.cpp | 
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 *  Purpose: To calculate convexhull, hull volume and radius | 
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 *  using the CGAL library. | 
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 *  Purpose: To calculate convexhull, hull volume libqhull. | 
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 *  Created by Charles F. Vardeman II on 11 Dec 2006. | 
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 *  @author  Charles F. Vardeman II | 
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 *  @version $Id: ConvexHull.cpp,v 1.1 2006-12-14 19:32:32 chuckv Exp $ | 
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 *  @version $Id: ConvexHull.cpp,v 1.3 2007-05-30 18:47:03 chuckv Exp $ | 
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#include "math/ConvexHull.hpp" | 
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#include <iostream> | 
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#include <fstream> | 
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#include "math/ConvexHull.hpp" | 
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using namespace oopse; | 
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ConvexHull::ConvexHull() : dim_(3), options_("qhull Qt FA") { | 
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} | 
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bool ConvexHull::genHull(std::vector<Vector3d> pos) | 
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  std::vector<Point_3> points; | 
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  points.reserve(pos.size()); | 
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  // Copy the positon vector into a points vector for cgal. | 
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  for (int i = 0; i < pos.size(); ++i) | 
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    { | 
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      Point_3 pt(pos[i][0],pos[i][1],pos[i][2]); | 
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      points.push_back(pt); | 
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    } | 
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  // compute convex hull | 
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  CGAL::convex_hull_3(points.begin(), points.end(), ch_object); | 
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  // Make sure hull is a polyhedron | 
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  if ( CGAL::assign(ch_polyhedron, ch_object) ) | 
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    { | 
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      return true; | 
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    } | 
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  else | 
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    { | 
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      return false; | 
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    } | 
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bool ConvexHull::genHull(std::vector<Vector3d> pos) { | 
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  FILE *outfile = stdout; | 
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  FILE *errfile = stderr; | 
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  facetT *facet; | 
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  int exitcode; | 
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  boolT ismalloc = False; | 
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  int curlong,totlong; | 
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  int numpoints = pos.size(); | 
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  coordT points[numpoints][dim_]; | 
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  for (int i=0; i<numpoints; i++) { | 
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    points[i][0] = pos[i][0]; | 
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    points[i][1] = pos[i][1]; | 
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    points[i][2] = pos[i][2];            | 
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  } | 
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  qh_initflags (const_cast<char *>(options_.c_str())); | 
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  qh_init_B (points[0], numpoints, dim_, ismalloc); | 
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  qh_qhull(); | 
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  qh_check_output(); | 
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  qh_getarea(qh facet_list); | 
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  volume_ = qh totvol;                                                   | 
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  area_ = qh totarea;                                            | 
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  qh_freeqhull(!qh_ALL); | 
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  qh_memfreeshort (&curlong, &totlong); | 
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  if (curlong || totlong) | 
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    fprintf (errfile, "qhull internal warning (main): did not free %d bytes of long memory (%d pieces)\n", | 
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             totlong, curlong); | 
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  return true; | 
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} | 
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RealType ConvexHull::getVolume() | 
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        /* | 
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  std::list<Point> L; | 
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  L.push_front(Point(0,0,0)); | 
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  L.push_front(Point(1,0,0)); | 
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  L.push_front(Point(0,1,0)); | 
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  Triangulation T(L.begin(), L.end()); | 
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  int n = T.number_of_vertices(); | 
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  // insertion from a vector : | 
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  std::vector<Point> V(3); | 
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  V[0] = Point(0,0,1); | 
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  V[1] = Point(1,1,1); | 
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  V[2] = Point(2,2,2); | 
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  n = n + T.insert(V.begin(), V.end()); | 
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  assert( n == 6 );       // 6 points have been inserted | 
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  assert( T.is_valid() ); // checking validity of T | 
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  double sum_v = 0; | 
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  for(Triangulation::Cell_iterator c_it = T.cells_begin(); c_it != T.cells_end(); ++c_it) | 
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    { | 
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      sum_v += T.tetrahedron(c_it).volume(); | 
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    } | 
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  std::cout << "sum_v " << sum_v << std::endl; | 
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*/ | 
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        return 0.0; | 
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RealType ConvexHull::getVolume() { | 
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  return volume_; | 
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} | 
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void ConvexHull::geomviewHull(const std::string& geomFileName) | 
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void ConvexHull::geomviewHull(const std::string& geomFileName) { | 
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  std::ofstream newGeomFile; | 
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  //create new .md file based on old .md file | 
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  newGeomFile.open(geomFileName.c_str()); | 
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  // Write polyhedron in Object File Format (OFF). | 
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  CGAL::set_ascii_mode( std::cout); | 
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  newGeomFile << "OFF" << std::endl << ch_polyhedron.size_of_vertices() << ' ' | 
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  << ch_polyhedron.size_of_facets() << " 0" << std::endl; | 
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  std::copy( ch_polyhedron.points_begin(), ch_polyhedron.points_end(), | 
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             std::ostream_iterator<Point_3>( newGeomFile, "\n")); | 
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  for (  Facet_iterator i = ch_polyhedron.facets_begin(); i != ch_polyhedron.facets_end(); ++i) | 
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      Halfedge_facet_circulator j = i->facet_begin(); | 
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      // Facets in polyhedral surfaces are at least triangles. | 
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      CGAL_assertion( CGAL::circulator_size(j) >= 3); | 
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      newGeomFile << CGAL::circulator_size(j) << ' '; | 
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      do | 
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          newGeomFile << ' ' << std::distance(ch_polyhedron.vertices_begin(), j->vertex()); | 
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        } | 
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      while ( ++j != i->facet_begin()); | 
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      newGeomFile << std::endl; | 
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    } | 
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  newGeomFile.close(); | 
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} |