feat(math): added to_point method into the InnerSpace trait and added tangent evaluation to the Bezier curve struct (changed point to vecs inside the struct as well)

crates/comet_math/src/bezier.rs

@@ -1,27 +1,42 @@
-use crate::Point;
+use crate::{InnerSpace, Point};
 
-pub struct Bezier<P: Point> {
-	points: Vec<P>,
-	degree: usize
+pub struct Bezier<V: InnerSpace> {
+    points: Vec<V>,
+    degree: usize,
 }
 
-impl<P: Point + Clone> Bezier<P> {
-	pub fn new(points: Vec<P>) -> Self {
-		let degree = points.len() - 1;
+impl<V: InnerSpace + Clone> Bezier<V> {
+    pub fn new(points: Vec<V>) -> Self {
+        let degree = points.len() - 1;
 
-		Self {
-			points,
-			degree
-		}
-	}
+        Self { points, degree }
+    }
 
-	pub fn evaluate(&self, t: f32) -> P {
-		let mut new_points = self.points.clone();
-		for i in 0..self.degree {
-			for j in 0..(self.degree - i) {
-				new_points[j] = new_points[j].lerp(&new_points[j + 1], t);
-			}
-		}
-		new_points[0].clone()
-	}
+    pub fn evaluate(&self, t: f32) -> V {
+        let mut new_points = self.points.clone();
+        for i in 0..self.degree {
+            for j in 0..(self.degree - i) {
+                new_points[j] = new_points[j].lerp(&new_points[j + 1], t);
+            }
+        }
+        new_points[0].clone()
+    }
+
+    pub fn evaluate_tangent(&self, t: f32) -> V {
+        let n = self.degree as f32;
+
+        let mut d_pts: Vec<V> = self
+            .points
+            .windows(2)
+            .map(|w| ((w[1] - w[0]) * n))
+            .collect::<Vec<V>>();
+
+        for i in 0..(self.degree - 1) {
+            for j in 0..(self.degree - 1 - i) {
+                d_pts[j] = d_pts[j].lerp(&d_pts[j + 1], t);
+            }
+        }
+
+        d_pts[0].clone().normalize()
+    }
 }

crates/comet_math/src/point.rs

@@ -1,108 +1,114 @@
-use crate::InnerSpace;
+use rand::seq::index::IndexVecIntoIter;
+
 use crate::vector::{v2, v3};
+use crate::InnerSpace;
 
 pub trait Point {
-	fn lerp(&self, other: &Self, t: f32) -> Self;
-	fn to_vec(&self) -> impl InnerSpace;
+    fn lerp(&self, other: &Self, t: f32) -> Self;
+    fn to_vec(&self) -> impl InnerSpace;
 }
 
 #[derive(Debug, Clone, Copy, PartialEq)]
 pub struct p2 {
-	x: f32,
-	y: f32
+    x: f32,
+    y: f32,
 }
 
 impl p2 {
-	pub fn new(x: f32, y: f32) -> Self {
-		p2 { x, y }
-	}
+    pub fn new(x: f32, y: f32) -> Self {
+        p2 { x, y }
+    }
 
-	pub fn from_vec(v: v2) -> Self {
-		Self { x: v.x(), y: v.y() }
-	}
+    pub fn from_vec(v: v2) -> Self {
+        Self { x: v.x(), y: v.y() }
+    }
 
-	pub fn x(&self) -> f32 {
-		self.x
-	}
+    pub fn x(&self) -> f32 {
+        self.x
+    }
 
-	pub fn y(&self) -> f32 {
-		self.y
-	}
+    pub fn y(&self) -> f32 {
+        self.y
+    }
 }
 
 #[derive(Debug, Clone, Copy, PartialEq)]
 pub struct p3 {
-	x: f32,
-	y: f32,
-	z: f32
+    x: f32,
+    y: f32,
+    z: f32,
 }
 
 impl p3 {
-	pub fn new(x: f32, y: f32, z: f32) -> Self {
-		p3 { x, y, z }
-	}
+    pub fn new(x: f32, y: f32, z: f32) -> Self {
+        p3 { x, y, z }
+    }
 
-	pub fn from_vec(v: v3) -> Self {
-		Self { x: v.x(), y: v.y(), z: v.z() }
-	}
+    pub fn from_vec(v: v3) -> Self {
+        Self {
+            x: v.x(),
+            y: v.y(),
+            z: v.z(),
+        }
+    }
 
-	pub fn x(&self) -> f32 {
-		self.x
-	}
+    pub fn x(&self) -> f32 {
+        self.x
+    }
 
-	pub fn y(&self) -> f32 {
-		self.y
-	}
+    pub fn y(&self) -> f32 {
+        self.y
+    }
 
-	pub fn z(&self) -> f32 {
-		self.z
-	}
+    pub fn z(&self) -> f32 {
+        self.z
+    }
 }
 
 impl Point for p2 {
-	fn lerp(&self, other: &Self, t: f32) -> Self {
-		let x = self.x + (other.x - self.x) * t;
-		let y = self.y + (other.y - self.y) * t;
-		Self { x, y }
-	}
+    fn lerp(&self, other: &Self, t: f32) -> Self {
+        let x = self.x + (other.x - self.x) * t;
+        let y = self.y + (other.y - self.y) * t;
+        Self { x, y }
+    }
 
-	fn to_vec(&self) -> v2 {
-		v2::new(self.x, self.y)
-	}
+    fn to_vec(&self) -> v2 {
+        v2::new(self.x, self.y)
+    }
 }
 impl Point for p3 {
-	fn lerp(&self, other: &Self, t: f32) -> Self {
-		let x = self.x + (other.x - self.x) * t;
-		let y = self.y + (other.y - self.y) * t;
-		let z = self.z + (other.z - self.z) * t;
-		Self { x, y, z }
-	}
+    fn lerp(&self, other: &Self, t: f32) -> Self {
+        let x = self.x + (other.x - self.x) * t;
+        let y = self.y + (other.y - self.y) * t;
+        let z = self.z + (other.z - self.z) * t;
+        Self { x, y, z }
+    }
 
-	fn to_vec(&self) -> v3 {
-		v3::new(self.x, self.y, self.z)
-	}
+    fn to_vec(&self) -> v3 {
+        v3::new(self.x, self.y, self.z)
+    }
 }
 
 impl Into<v2> for p2 {
-	fn into(self) -> v2 {
-		self.to_vec()
-	}
+    fn into(self) -> v2 {
+        self.to_vec()
+    }
 }
 
 impl Into<v3> for p3 {
-	fn into(self) -> v3 {
-		self.to_vec()
-	}
+    fn into(self) -> v3 {
+        self.to_vec()
+    }
 }
 
 impl From<v2> for p2 {
-	fn from(v: v2) -> Self {
-		Self::from_vec(v)
-	}
+    fn from(v: v2) -> Self {
+        Self::from_vec(v)
+    }
 }
 
 impl From<v3> for p3 {
-	fn from(v: v3) -> Self {
-		Self::from_vec(v)
-	}
+    fn from(v: v3) -> Self {
+        Self::from_vec(v)
+    }
 }