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use na::{Pnt2,origin,zero,one,AsVec,ToPnt,ToVec};
use num::NumCast;
use num::traits::cast;
use std::cmp::Ordering;
use std::ops::{Index, IndexMut};
use std::convert::AsRef;
use std::slice;
use std::iter::{FromIterator, IntoIterator};
use alga;
#[derive(Clone, Debug)]
pub struct Polyline<T: alga::general::Real>{
points: Vec<Pnt2<T>>,
closed: bool
}
impl<T:alga::general::Real + NumCast> Polyline<T>{
pub fn new() -> Polyline<T>{
Polyline{points:Vec::new(), closed:false}
}
pub fn new_from_disordered_points(points: Vec<Pnt2<T>>, closed: bool) -> Polyline<T>{
let mut polyline = Polyline{points: points, closed: closed};
let centroid = polyline.centroid();
polyline.points.sort_by(|p1,p2| less(p1,p2,¢roid));
polyline
}
pub fn area(&self) -> T{
let mut area: T = zero();
for i in 0 .. self.len()-1{
area = area + (self.points[i].x * self.points[i+1].y - self.points[i+1].x * self.points[i].y);
}
area = area + (self.points[self.len()-1].x * self.points[0].y - self.points[0].x * self.points[self.len()-1].y);
area = area * cast(0.5).unwrap();
area
}
pub fn centroid(&self) -> Pnt2<T>{
let mut centroid: Pnt2<T> = origin();
if self.points.len()<3{
return centroid;
}
let area = self.area();
for i in 0 .. self.len()-1{
let p = self.points[i];
let next_p = self.points[i+1];
centroid.x = centroid.x + ((p.x + next_p.x) * (p.x*next_p.y - next_p.x*p.y));
centroid.y = centroid.y + ((p.y + next_p.y) * (p.x*next_p.y - next_p.x*p.y));
}
let p = self.points.last().unwrap();
let next_p = self.points[0];
centroid.x = centroid.x + ((p.x + next_p.x) * (p.x*next_p.y - next_p.x*p.y));
centroid.y = centroid.y + ((p.y + next_p.y) * (p.x*next_p.y - next_p.x*p.y));
let six: T = cast(6.0).unwrap();
centroid.x = centroid.x / (six*area);
centroid.y = centroid.y / (six*area);
centroid
}
pub fn close(&mut self){
self.closed = true;
}
pub fn is_closed(&self) -> bool{
self.closed
}
pub fn len(&self) -> usize{
self.points.len()
}
pub fn push(&mut self, p: Pnt2<T>){
self.points.push(p);
}
pub fn smoothed(&self, window_size: usize, window_shape: T) -> Polyline<T>{
let n = self.points.len();
let size = ::clamp(window_size, 0, n);
let shape = ::clamp(window_shape, zero(), one());
let weights = (0..size).map(|i| ::map(cast(i).unwrap(), zero(), cast(size).unwrap(), one(), shape))
.collect::<Vec<_>>();
let mut result = self.clone();
for i in 0..n {
let mut sum: T = one();
for j in 1..size{
let mut cur: Pnt2<T> = origin();
let mut left = i as isize - j as isize;
let mut right = i + j;
if left < 0 && self.closed{
left += n as isize;
}
if left >= 0 {
cur += self.points[left as usize].as_vec();
sum += weights[j];
}
if right > n && self.closed {
right -= n;
}
if right < n{
cur += self.points[right].as_vec();
sum += weights[j];
}
result[i] += cur.as_vec() * weights[j];
}
result[i] /= sum;
}
result
}
pub fn subdivide_linear(&self, resolution: usize) -> Polyline<T>{
let points = self.points.windows(2).enumerate()
.flat_map(|(segment, current_next)| (0..resolution).map(move |i|{
let i_f: T = cast(i).unwrap();
let t: T = i_f / if segment == self.points.len() - 2{
cast(resolution - 1).unwrap()
}else{
cast(resolution).unwrap()
};
::lerp(current_next[0].to_vec(), current_next[1].to_vec(), t).to_pnt()
}));
Polyline{
points: points.collect(),
closed: self.closed
}
}
pub fn iter(&self) -> slice::Iter<Pnt2<T>>{
self.points.iter()
}
pub fn first(&self) -> Option<&Pnt2<T>>{
self.points.first()
}
pub fn first_mut(&mut self) -> Option<&mut Pnt2<T>>{
self.points.first_mut()
}
pub fn last(&self) -> Option<&Pnt2<T>>{
self.points.last()
}
pub fn last_mut(&mut self) -> Option<&mut Pnt2<T>>{
self.points.last_mut()
}
pub fn is_empty(&self) -> bool {
self.points.is_empty()
}
}
impl<T:alga::general::Real> AsRef<[Pnt2<T>]> for Polyline<T>{
fn as_ref(&self) -> &[Pnt2<T>]{
self.points.as_ref()
}
}
impl<T:alga::general::Real> Index<usize> for Polyline<T>{
type Output = Pnt2<T>;
fn index(&self, idx: usize) -> &Pnt2<T>{
self.points.index(idx)
}
}
impl<T:alga::general::Real> IndexMut<usize> for Polyline<T>{
fn index_mut(&mut self, idx: usize) -> &mut Pnt2<T>{
self.points.index_mut(idx)
}
}
impl<T> FromIterator<Pnt2<T>> for Polyline<T>
where T: alga::general::Real
{
fn from_iter<I>(iter: I) -> Polyline<T>
where I: IntoIterator<Item=Pnt2<T>>
{
Polyline{
points: iter.into_iter().collect(),
closed: false,
}
}
}
impl<T> Into<Vec<Pnt2<T>>> for Polyline<T>
where T: alga::general::Real
{
fn into(self) -> Vec<Pnt2<T>>{
self.points
}
}
fn less<T:alga::general::Real>(a: &Pnt2<T>, b: &Pnt2<T>, center: &Pnt2<T>) -> Ordering{
if a.x - center.x >= zero() && b.x - center.x < zero(){
return Ordering::Less;
}
if a.x - center.x < zero() && b.x - center.x >= zero(){
return Ordering::Greater;
}
if a.x - center.x == zero() && b.x - center.x == zero(){
if a.y - center.y >= zero() || b.y - center.y >= zero(){
return if a.y > b.y { Ordering::Less } else { Ordering::Greater };
}
return if b.y > a.y {Ordering::Less} else {Ordering::Greater};
}
let det = (a.x - center.x) * (b.y - center.y) - (b.x - center.x) * (a.y - center.y);
if det < zero(){
return Ordering::Less;
}
if det > zero(){
return Ordering::Greater;
}
let d1 = (a.x - center.x) * (a.x - center.x) + (a.y - center.y) * (a.y - center.y);
let d2 = (b.x - center.x) * (b.x - center.x) + (b.y - center.y) * (b.y - center.y);
if d1 > d2 { Ordering::Less } else { Ordering::Greater }
}