refactor: add Line struct

3 files changed, 32 insertions, 0 deletions

diff --git a/src/algebra/line.rs b/src/algebra/line.rs
new file mode 100644
index 0000000..45733b9
--- /dev/null
+++ b/src/algebra/line.rs
@@ -0,0 +1,24 @@
+use crate::{particle_system::Scalar, Point, Vector};
+
+pub struct Line {
+    pub point: Point,
+
+    /// Has to be normalized
+    pub vector: Vector,
+}
+
+impl Line {
+    pub fn new(point: Point, vector: Vector) -> Self {
+        Self {
+            point,
+            vector: vector.normalize(),
+        }
+    }
+
+    pub fn distance_to_point(&self, point: Point) -> Scalar {
+        let diff = point - self.point;
+        let lambda = diff.dot(&self.vector);
+
+        (diff - lambda * self.vector).norm()
+    }
+}
diff --git a/src/algebra/mod.rs b/src/algebra/mod.rs
new file mode 100644
index 0000000..884ccfc
--- /dev/null
+++ b/src/algebra/mod.rs
@@ -0,0 +1,2 @@
+pub mod plane;
+pub mod line;
diff --git a/src/algebra/plane.rs b/src/algebra/plane.rs
new file mode 100644
index 0000000..e82c843
--- /dev/null
+++ b/src/algebra/plane.rs
@@ -0,0 +1,6 @@
+use crate::{Point, Vector};
+
+pub struct Plane {
+    point: Point,
+    vectors: [Vector; 2],
+}