Rotation matrix UI and Interactions dir

src/shared/Algebra.lua

@@ -7,16 +7,52 @@
 type EaseFunction   = (n: number) -> number
 type LinearFunction = (a: number, b: number, t: number) -> number
 
+export type RotationMatrix = {
+	Ixx: number,
+	Ixy: number,
+	Iyx: number,
+	Iyy: number,
+	Izx: number,
+	Izy: number
+}
+
+export type Scalar = {
+	Distance: number,
+	Center: Vector2,
+	Rotation: number
+}
+
 export type Math = {
     Linear: LinearFunction,
 	InOutBack: EaseFunction,
 	OutBounce: EaseFunction,
 	InQuad: EaseFunction,
+	RotationMatrix: (X: number, Y: number, Z: number) -> RotationMatrix,
+	Scalar: (X1: number, Y1: number, X2: number, Y2: number) -> Scalar
 }
 
 local Math = {} :: Math
---Google straight up gives wrong/bad math
 
+function Math.RotationMatrix(X: number, Y: number, Z: number): RotationMatrix
+    return {
+        Ixx = math.cos(Z)*math.cos(X)-math.sin(Z)*math.sin(X)*math.sin(Y);
+        Ixy = math.cos(Z)*math.sin(X)*math.sin(Y)+math.sin(Z)*math.cos(X);
+        Iyx = -math.cos(Z)*math.sin(X)-math.sin(Z)*math.cos(X)*math.sin(Y);
+        Iyy = math.cos(Z)*math.cos(X)*math.sin(Y)-math.sin(Z)*math.sin(X);
+        Izx = -math.sin(Z)*math.cos(Y);
+        Izy = math.cos(Z)*math.sin(Y)
+    }
+end
+
+function Math.Scalar(X1: number, Y1: number, X2: number, Y2: number): Scalar
+    return {
+        Distance = math.sqrt((X1-X2)*(X1-X2)+(Y1-Y2)*(Y1-Y2));
+        Center   = Vector2.new((X1+X2)/2,(Y1+Y2)/2);
+        Rotation = math.deg(math.atan2(Y1-Y2,X1-X2))
+    }
+end
+
+--My versions
 function Math.Linear(a,b,t)
 	return a-a*t+b*t
 end