use crate::geometry::Transformation;
use crate::geometry::geo_enums::GeoPosition;
use crate::geometry::geo_traits::{
CollidesWith, DistanceTo, SeparationDistance, Transformable, TransformableFrom,
};
use crate::geometry::primitives::Edge;
use crate::geometry::primitives::Point;
use crate::geometry::primitives::Rect;
use anyhow::Result;
use anyhow::ensure;
use std::cmp::Ordering;
use std::f32::consts::PI;
#[derive(Clone, Debug, PartialEq, Copy)]
pub struct Circle {
pub center: Point,
pub radius: f32,
}
impl Circle {
pub fn try_new(center: Point, radius: f32) -> Result<Self> {
ensure!(
radius.is_finite() && radius >= 0.0,
"invalid circle radius: {radius}",
);
ensure!(
center.0.is_finite() && center.1.is_finite(),
"invalid circle center: {center:?}",
);
Ok(Self { center, radius })
}
pub fn bounding_circle<'a>(circles: impl IntoIterator<Item = &'a Circle>) -> Circle {
let mut circles = circles.into_iter();
let mut bounding_circle = *circles.next().expect("no circles provided");
for circle in circles {
let distance_between_centers = bounding_circle.center.distance_to(&circle.center);
if bounding_circle.radius < distance_between_centers + circle.radius {
let diameter = Edge {
start: bounding_circle.center,
end: circle.center,
}
.extend_at_front(bounding_circle.radius)
.extend_at_back(circle.radius);
bounding_circle = Circle {
center: diameter.centroid(),
radius: diameter.length() / 2.0,
}
}
}
bounding_circle
}
pub fn area(&self) -> f32 {
self.radius * self.radius * PI
}
pub fn bbox(&self) -> Rect {
let (r, x, y) = (self.radius, self.center.0, self.center.1);
Rect {
x_min: x - r,
y_min: y - r,
x_max: x + r,
y_max: y + r,
}
}
pub fn diameter(&self) -> f32 {
self.radius * 2.0
}
}
impl Transformable for Circle {
fn transform(&mut self, t: &Transformation) -> &mut Self {
let Circle { center, radius: _ } = self;
center.transform(t);
self
}
}
impl TransformableFrom for Circle {
fn transform_from(&mut self, reference: &Self, t: &Transformation) -> &mut Self {
let Circle { center, radius: _ } = self;
center.transform_from(&reference.center, t);
self
}
}
impl CollidesWith<Circle> for Circle {
fn collides_with(&self, other: &Circle) -> bool {
let (cx1, cx2) = (self.center.0, other.center.0);
let (cy1, cy2) = (self.center.1, other.center.1);
let (r1, r2) = (self.radius, other.radius);
let dx = cx1 - cx2;
let dy = cy1 - cy2;
let sq_d = dx * dx + dy * dy;
sq_d <= (r1 + r2) * (r1 + r2)
}
}
impl CollidesWith<Edge> for Circle {
fn collides_with(&self, edge: &Edge) -> bool {
edge.sq_distance_to(&self.center) <= self.radius.powi(2)
}
}
impl CollidesWith<Rect> for Circle {
#[inline(always)]
fn collides_with(&self, rect: &Rect) -> bool {
let Point(c_x, c_y) = self.center;
let nearest_x = f32::max(rect.x_min, f32::min(c_x, rect.x_max));
let nearest_y = f32::max(rect.y_min, f32::min(c_y, rect.y_max));
(nearest_x - c_x).powi(2) + (nearest_y - c_y).powi(2) <= self.radius.powi(2)
}
}
impl CollidesWith<Point> for Circle {
fn collides_with(&self, point: &Point) -> bool {
point.sq_distance_to(&self.center) <= self.radius.powi(2)
}
}
impl DistanceTo<Point> for Circle {
fn distance_to(&self, point: &Point) -> f32 {
let Point(x, y) = point;
let Point(cx, cy) = self.center;
let sq_d = (x - cx).powi(2) + (y - cy).powi(2);
if sq_d < self.radius.powi(2) {
0.0 } else {
f32::sqrt(sq_d) - self.radius
}
}
fn sq_distance_to(&self, other: &Point) -> f32 {
self.distance_to(other).powi(2)
}
}
impl SeparationDistance<Point> for Circle {
fn separation_distance(&self, point: &Point) -> (GeoPosition, f32) {
let Point(x, y) = point;
let Point(cx, cy) = self.center;
let d_center = f32::sqrt((x - cx).powi(2) + (y - cy).powi(2));
match d_center.partial_cmp(&self.radius).unwrap() {
Ordering::Less | Ordering::Equal => (GeoPosition::Interior, self.radius - d_center),
Ordering::Greater => (GeoPosition::Exterior, d_center - self.radius),
}
}
fn sq_separation_distance(&self, point: &Point) -> (GeoPosition, f32) {
let (pos, distance) = self.separation_distance(point);
(pos, distance.powi(2))
}
}
impl DistanceTo<Circle> for Circle {
fn distance_to(&self, other: &Circle) -> f32 {
match self.separation_distance(other) {
(GeoPosition::Interior, _) => 0.0,
(GeoPosition::Exterior, d) => d,
}
}
fn sq_distance_to(&self, other: &Circle) -> f32 {
self.distance_to(other).powi(2)
}
}
impl SeparationDistance<Circle> for Circle {
fn separation_distance(&self, other: &Circle) -> (GeoPosition, f32) {
let sq_center_dist = self.center.sq_distance_to(&other.center);
let sq_radii_sum = (self.radius + other.radius).powi(2);
if sq_center_dist < sq_radii_sum {
let dist = sq_radii_sum.sqrt() - sq_center_dist.sqrt();
(GeoPosition::Interior, dist)
} else {
let dist = sq_center_dist.sqrt() - sq_radii_sum.sqrt();
(GeoPosition::Exterior, dist)
}
}
fn sq_separation_distance(&self, other: &Circle) -> (GeoPosition, f32) {
let (pos, distance) = self.separation_distance(other);
(pos, distance.powi(2))
}
}
impl DistanceTo<Edge> for Circle {
fn distance_to(&self, e: &Edge) -> f32 {
match self.separation_distance(e) {
(GeoPosition::Interior, _) => 0.0,
(GeoPosition::Exterior, d) => d,
}
}
fn sq_distance_to(&self, e: &Edge) -> f32 {
self.distance_to(e).powi(2)
}
}
impl SeparationDistance<Edge> for Circle {
fn separation_distance(&self, e: &Edge) -> (GeoPosition, f32) {
let distance_to_center = e.distance_to(&self.center);
if distance_to_center < self.radius {
(GeoPosition::Interior, self.radius - distance_to_center)
} else {
(GeoPosition::Exterior, distance_to_center - self.radius)
}
}
fn sq_separation_distance(&self, e: &Edge) -> (GeoPosition, f32) {
let (pos, distance) = self.separation_distance(e);
(pos, distance.powi(2))
}
}