Use actual floats for logical coordinates

core/src/point.rs

@@ -1,26 +1,34 @@
 use crate::Vector;
 
+use num_traits::{Float, Num};
+use std::fmt;
+
 /// A 2D point.
-#[derive(Debug, Clone, Copy, PartialEq, Default)]
-pub struct Point {
+#[derive(Debug, Clone, Copy, PartialEq, Eq, Default)]
+pub struct Point<T = f32> {
     /// The X coordinate.
-    pub x: f32,
+    pub x: T,
 
     /// The Y coordinate.
-    pub y: f32,
+    pub y: T,
 }
 
 impl Point {
     /// The origin (i.e. a [`Point`] at (0, 0)).
-    pub const ORIGIN: Point = Point::new(0.0, 0.0);
+    pub const ORIGIN: Self = Self::new(0.0, 0.0);
+}
 
+impl<T: Num> Point<T> {
     /// Creates a new [`Point`] with the given coordinates.
-    pub const fn new(x: f32, y: f32) -> Self {
+    pub const fn new(x: T, y: T) -> Self {
         Self { x, y }
     }
 
     /// Computes the distance to another [`Point`].
-    pub fn distance(&self, to: Point) -> f32 {
+    pub fn distance(&self, to: Self) -> T
+    where
+        T: Float,
+    {
         let a = self.x - to.x;
         let b = self.y - to.y;
 
@@ -34,9 +42,9 @@ impl From<[f32; 2]> for Point {
     }
 }
 
-impl From<[u16; 2]> for Point {
+impl From<[u16; 2]> for Point<u16> {
     fn from([x, y]: [u16; 2]) -> Self {
-        Point::new(x.into(), y.into())
+        Point::new(x, y)
     }
 }
 
@@ -46,10 +54,13 @@ impl From<Point> for [f32; 2] {
     }
 }
 
-impl std::ops::Add<Vector> for Point {
+impl<T> std::ops::Add<Vector<T>> for Point<T>
+where
+    T: std::ops::Add<Output = T>,
+{
     type Output = Self;
 
-    fn add(self, vector: Vector) -> Self {
+    fn add(self, vector: Vector<T>) -> Self {
         Self {
             x: self.x + vector.x,
             y: self.y + vector.y,
@@ -57,10 +68,13 @@ impl std::ops::Add<Vector> for Point {
     }
 }
 
-impl std::ops::Sub<Vector> for Point {
+impl<T> std::ops::Sub<Vector<T>> for Point<T>
+where
+    T: std::ops::Sub<Output = T>,
+{
     type Output = Self;
 
-    fn sub(self, vector: Vector) -> Self {
+    fn sub(self, vector: Vector<T>) -> Self {
         Self {
             x: self.x - vector.x,
             y: self.y - vector.y,
@@ -68,10 +82,22 @@ impl std::ops::Sub<Vector> for Point {
     }
 }
 
-impl std::ops::Sub<Point> for Point {
-    type Output = Vector;
+impl<T> std::ops::Sub<Point<T>> for Point<T>
+where
+    T: std::ops::Sub<Output = T>,
+{
+    type Output = Vector<T>;
 
-    fn sub(self, point: Point) -> Vector {
+    fn sub(self, point: Self) -> Vector<T> {
         Vector::new(self.x - point.x, self.y - point.y)
     }
 }
+
+impl<T> fmt::Display for Point<T>
+where
+    T: fmt::Display,
+{
+    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+        write!(f, "Point {{ x: {}, y: {} }}", self.x, self.y)
+    }
+}