From b9584d5597acbf2effab4c70b84373033b2432bb Mon Sep 17 00:00:00 2001
From: Sebastian Tobie <sebastian@sebastian-tobie.de>
Date: Fri, 20 Dec 2024 10:50:17 +0100
Subject: [PATCH] added multiplication for Kartesians

some part of it had to be an new trait
---
 .../kartesian/external_traits.rs              | 10 +++++++
 src/coordinate_systems/kartesian/traits.rs    | 26 +++++++++++++++++++
 2 files changed, 36 insertions(+)

diff --git a/src/coordinate_systems/kartesian/external_traits.rs b/src/coordinate_systems/kartesian/external_traits.rs
index 9db8a3f..5ef24dc 100644
--- a/src/coordinate_systems/kartesian/external_traits.rs
+++ b/src/coordinate_systems/kartesian/external_traits.rs
@@ -149,3 +149,13 @@ impl<T: Integer + Display + Unsigned + Copy> Display for Velocity<T> {
         Ok(())
     }
 }
+
+impl<T: Integer + Mul> Mul for Kartesian<T> {
+    type Output = Kartesian<T>;
+    fn mul(self, rhs: Self) -> Self::Output {
+        Kartesian {
+            x: self.x * rhs.x,
+            y: self.y * rhs.y,
+        }
+    }
+}
diff --git a/src/coordinate_systems/kartesian/traits.rs b/src/coordinate_systems/kartesian/traits.rs
index de7b0ba..81b7a19 100644
--- a/src/coordinate_systems/kartesian/traits.rs
+++ b/src/coordinate_systems/kartesian/traits.rs
@@ -67,3 +67,29 @@ impl ToCoords for Kartesian<usize> {
         self
     }
 }
+
+pub trait IntMul<T: Integer> {
+    type Output;
+    fn mul(self, rhs: T) -> Self::Output;
+}
+
+macro_rules! impl_mul {
+    ($subtype:ident) => {
+        impl IntMul<$subtype> for Kartesian<$subtype> {
+            type Output = Kartesian<$subtype>;
+            fn mul(self, rhs: $subtype) -> Self::Output {
+                Kartesian {
+                    x: self.x * rhs,
+                    y: self.y * rhs,
+                }
+            }
+        }
+    };
+}
+
+impl_mul!(u8);
+impl_mul!(u16);
+impl_mul!(u32);
+impl_mul!(u64);
+impl_mul!(u128);
+impl_mul!(usize);