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use types::{Coordinate, Point, LineString, Polygon};
pub trait Centroid {
fn centroid(&self) -> Option<Point>;
}
impl Centroid for LineString {
fn centroid(&self) -> Option<Point> {
let vect = &self.0;
if vect.is_empty() {
return None;
}
if vect.len() == 1 {
Some(Point::new(vect[0].lng(), vect[0].lat()))
} else {
let mut sum_x = 0.;
let mut sum_y = 0.;
let mut total_length = 0.;
for (p1, p2) in vect.iter().zip(vect[1..].iter()) {
let segment_len = p1.distance_to(&p2);
total_length += segment_len;
sum_x += segment_len * ((p1.lng() + p2.lng()) / 2.);
sum_y += segment_len * ((p1.lat() + p2.lat()) / 2.);
}
Some(Point::new(sum_x / total_length, sum_y / total_length))
}
}
}
impl Centroid for Polygon {
fn centroid(&self) -> Option<Point> {
let linestring = &self.0;
let vect = &linestring.0;
if vect.is_empty() {
return None;
}
if vect.len() == 1 {
Some(Point::new(vect[0].lng(), vect[0].lat()))
} else {
let mut area = 0.;
let mut sum_x = 0.;
let mut sum_y = 0.;
for (p1, p2) in vect.iter().zip(vect[1..].iter()) {
let tmp = p1.lng() * p2.lat() - p2.lng() * p1.lat();
area += tmp;
sum_x += (p2.lng() + p1.lng()) * tmp;
sum_y += (p2.lat() + p1.lat()) * tmp;
}
area /= 2.;
Some(Point::new(sum_x / (6. * area), sum_y / (6. * area)))
}
}
}
#[cfg(test)]
mod test {
use types::{Coordinate, Point, LineString, Polygon};
use algorithm::centroid::Centroid;
#[test]
fn empty_linestring_test() {
let vec = Vec::new();
let linestring = LineString(vec);
let centroid = linestring.centroid();
assert!(centroid.is_none());
}
#[test]
fn linestring_one_point_test() {
let p = Point::new(40.02f64, 116.34);
let mut vect = Vec::new();
vect.push(p);
let linestring = LineString(vect);
let centroid = linestring.centroid();
assert_eq!(centroid, Some(p));
}
#[test]
fn linestring_test() {
let p = |x| Point(Coordinate { x: x, y: 1. });
let linestring = LineString(vec![p(1.), p(7.), p(8.), p(9.), p(10.), p(11.)]);
assert_eq!(linestring.centroid(),
Some(Point(Coordinate { x: 6., y: 1. })));
}
#[test]
fn empty_polygon_test() {
let v1 = Vec::new();
let v2 = Vec::new();
let linestring = LineString(v1);
let poly = Polygon(linestring, v2);
assert!(poly.centroid().is_none());
}
#[test]
fn polygon_one_point_test() {
let p = Point(Coordinate { x: 2., y: 1. });
let v = Vec::new();
let linestring = LineString(vec![p]);
let poly = Polygon(linestring, v);
assert_eq!(poly.centroid(), Some(p));
}
#[test]
fn polygon_test() {
let p = |x, y| Point(Coordinate { x: x, y: y });
let v = Vec::new();
let linestring = LineString(vec![p(0., 0.), p(2., 0.), p(2., 2.), p(0., 2.), p(0., 0.)]);
let poly = Polygon(linestring, v);
assert_eq!(poly.centroid(), Some(p(1., 1.)));
}
}