Scale a sphere and ray with respect to one another

ray-tracer/src/types/ray.rs

@@ -48,9 +48,10 @@ impl Ray {
     }
 
     pub fn intersect<'a>(&self, s: &'a Sphere) -> Intersections<'a> {
-        let sphere_to_ray = self.origin - Point::new(0., 0., 0.);
+        let r2 = self.transform(s.transformation().inverse());
-        let a = self.direction.dot(&self.direction);
+        let sphere_to_ray = r2.origin - Point::new(0., 0., 0.);
-        let b = 2. * self.direction.dot(&sphere_to_ray);
+        let a = r2.direction.dot(&r2.direction);
+        let b = 2. * r2.direction.dot(&sphere_to_ray);
         let c = sphere_to_ray.dot(&sphere_to_ray) - 1.;
 
         let discriminant = b * b - 4. * a * c;
@@ -199,4 +200,24 @@ mod tests {
         assert_eq!(r2.origin, Point::new(2., 6., 12.));
         assert_eq!(r2.direction, Vector::new(0., 3., 0.,));
     }
+
+    #[test]
+    fn intersect_scaled_sphere_with_ray() {
+        let r = Ray::new(Point::new(0., 0., -5.), Vector::new(0., 0., 1.));
+        let mut s = Sphere::new();
+        s.set_transformation(scaling(2., 2., 2.));
+        let xs = r.intersect(&s);
+        assert_eq!(xs.len(), 2);
+        assert_eq!(xs[0].t, 3.);
+        assert_eq!(xs[1].t, 7.);
+    }
+
+    #[test]
+    fn intersect_translated_sphere_with_ray() {
+        let r = Ray::new(Point::new(0., 0., -5.), Vector::new(0., 0., 1.));
+        let mut s = Sphere::new();
+        s.set_transformation(translation(5., 0., 0.));
+        let xs = r.intersect(&s);
+        assert_eq!(xs.len(), 0);
+    }
 }

ray-tracer/src/types/sphere.rs

@@ -1,13 +1,44 @@
-use crate::types::Point;
+use crate::types::{Matrix, Point};
 
 #[derive(Debug, PartialEq)]
 pub struct Sphere {
     origin: Point,
+    transformation: Matrix,
 }
 
 impl Sphere {
     pub fn new() -> Self {
-        Self{ origin: Point::new(0., 0., 0.) }
+        Self {
+            origin: Point::new(0., 0., 0.),
+            transformation: Matrix::identity(),
         }
     }
 
+    pub fn transformation(&self) -> &Matrix {
+        &self.transformation
+    }
+
+    pub fn set_transformation(&mut self, m: Matrix) {
+        self.transformation = m
+    }
+}
+
+#[cfg(test)]
+mod test {
+    use crate::transforms::translation;
+    use super::*;
+
+    #[test]
+    fn sphere_has_default_transformation() {
+        let s = Sphere::new();
+        assert_eq!(s.transformation(), &Matrix::identity());
+    }
+
+    #[test]
+    fn change_a_spheres_transformation() {
+        let mut s = Sphere::new();
+        let t = translation(2., 3., 4.);
+        s.set_transformation(t.clone());
+        assert_eq!(*s.transformation(), t);
+    }
+}