Cleaned up the proof of concept code to be more object oriented. Functionally, some mouse and key bindings were added to make the demo a bit more interactive.

matrix.py

@@ -0,0 +1,47 @@
+import vectors
+
+class Matrix4x4:
+	def __init__(self):
+		self.row0 = None
+		self.row1 = None
+		self.row2 = None
+		self.row3 = None
+	
+	def __init__(self, row0, row1, row2, row3):
+		if not isinstance(row0, vectors.Vector4d):
+			raise ValueError("Row must be a Vector4d object.", row0)
+		if not isinstance(row1, vectors.Vector4d):
+			raise ValueError("Row must be a Vector4d object.", row1)
+		if not isinstance(row2, vectors.Vector4d):
+			raise ValueError("Row must be a Vector4d object.", row2)
+		if not isinstance(row3, vectors.Vector4d):
+			raise ValueError("Row must be a Vector4d object.", row3)
+		
+		self.row0 = row0
+		self.row1 = row1
+		self.row2 = row2
+		self.row3 = row3
+		
+	def multiply_3d(self, vector3d):
+		x = vector3d.x * self.row0.x + vector3d.y * self.row1.x + vector3d.z * self.row2.x + self.row3.x
+		y = vector3d.x * self.row0.y + vector3d.y * self.row1.y + vector3d.z * self.row2.y + self.row3.y
+		z = vector3d.x * self.row0.z + vector3d.y * self.row1.z + vector3d.z * self.row2.z + self.row3.z
+		w = vector3d.x * self.row0.w + vector3d.y * self.row1.w + vector3d.z * self.row2.w + self.row3.w
+		
+		if w != 0:
+			x /= w
+			y /= w
+			z /= w
+		
+		return vectors.Vector3d(x, y, z)
+
+class Matrix3x3:
+	def __init__(self):
+		self.row0 = None
+		self.row1 = None
+		self.row2 = None
+		
+	def __init__(self, row0, row1, row2):
+		self.row0 = row0
+		self.row1 = row1
+		self.row2 = row2