CGAL 4.7 - dD Spatial Searching: Spatial_searching/Distance.h

\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.7 - dD Spatial Searching

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Spatial_searching/Distance.h
struct Distance {
typedef Point Query_item;
typedef double FT;
typedef CGAL::Dimension_tag<3> D;
double transformed_distance(const Point& p1, const Point& p2) const {
double distx= p1.x()-p2.x();
double disty= p1.y()-p2.y();
double distz= p1.z()-p2.z();
return distx*distx+disty*disty+distz*distz;
}
double min_distance_to_rectangle(const Point& p,
const CGAL::Kd_tree_rectangle<FT,D>& b) const {
double distance(0.0), h = p.x();
if (h < b. min_coord(0)) distance += (b.min_coord(0)-h)*(b.min_coord(0)-h);
if (h > b. max_coord(0)) distance += (h-b.max_coord(0))*(h-b.max_coord(0));
h=p.y();
if (h < b.min_coord(1)) distance += (b.min_coord(1)-h)*(b.min_coord(1)-h);
if (h > b.max_coord(1)) distance += (h-b.max_coord(1))*(h-b.min_coord(1));
h=p.z();
if (h < b.min_coord(2)) distance += (b.min_coord(2)-h)*(b.min_coord(2)-h);
if (h > b.max_coord(2)) distance += (h-b.max_coord(2))*(h-b.max_coord(2));
return distance;
}
double min_distance_to_rectangle(const Point& p,
const CGAL::Kd_tree_rectangle<FT,D>& b,std::vector<double>& dists){
double distance(0.0), h = p.x();
if (h < b.min_coord(0)){
dists[0] = (b.min_coord(0)-h);
distance += dists[0]*dists[0];
}
if (h > b.max_coord(0)){
dists[0] = (h-b.max_coord(0));
distance += dists[0]*dists[0];
}
h=p.y();
if (h < b.min_coord(1)){
dists[1] = (b.min_coord(1)-h);
distance += dists[1]*dists[1];
}
if (h > b.max_coord(1)){
dists[1] = (h-b.max_coord(1));
distance += dists[1]*dists[1];
}
h=p.z();
if (h < b.min_coord(2)){
dists[2] = (b.min_coord(2)-h);
distance += dists[2]*dists[2];
}
if (h > b.max_coord(2)){
dists[2] = (h-b.max_coord(2));
distance += dists[2]*dists[2];
}
return distance;
}
double max_distance_to_rectangle(const Point& p,
const CGAL::Kd_tree_rectangle<FT,D>& b) const {
double h = p.x();
double d0 = (h >= (b.min_coord(0)+b.max_coord(0))/2.0) ?
(h-b.min_coord(0))*(h-b.min_coord(0)) : (b.max_coord(0)-h)*(b.max_coord(0)-h);
h=p.y();
double d1 = (h >= (b.min_coord(1)+b.max_coord(1))/2.0) ?
(h-b.min_coord(1))*(h-b.min_coord(1)) : (b.max_coord(1)-h)*(b.max_coord(1)-h);
h=p.z();
double d2 = (h >= (b.min_coord(2)+b.max_coord(2))/2.0) ?
(h-b.min_coord(2))*(h-b.min_coord(2)) : (b.max_coord(2)-h)*(b.max_coord(2)-h);
return d0 + d1 + d2;
}
double max_distance_to_rectangle(const Point& p,
const CGAL::Kd_tree_rectangle<FT,D>& b,std::vector<double>& dists){
double h = p.x();
dists[0] = (h >= (b.min_coord(0)+b.max_coord(0))/2.0) ?
(h-b.min_coord(0)) : (b.max_coord(0)-h);
h=p.y();
dists[1] = (h >= (b.min_coord(1)+b.max_coord(1))/2.0) ?
(h-b.min_coord(1)) : (b.max_coord(1)-h);
h=p.z();
dists[2] = (h >= (b.min_coord(2)+b.max_coord(2))/2.0) ?
(h-b.min_coord(2)) : (b.max_coord(2)-h);
return dists[0] * dists[0] + dists[1] * dists[1] + dists[2] * dists[2];
}
double new_distance(double& dist, double old_off, double new_off,
int /* cutting_dimension */) const {
return dist + new_off*new_off - old_off*old_off;
}
double transformed_distance(double d) const { return d*d; }
double inverse_of_transformed_distance(double d) { return std::sqrt(d); }
}; // end of struct Distance