Beginning Hilbert project

helpers.py

@@ -3,7 +3,7 @@ import itertools as it
 import operator as op
 from PIL import Image
 from colour import Color
-from random import random
+import random
 import inspect
 import string
 import re
@@ -11,6 +11,14 @@ import re
 
 from constants import *
 
+
+def bezier(points):
+    n = len(points) - 1
+    return lambda t : sum([
+        ((1-t)**(n-k))*(t**k)*choose(n, k)*point
+        for point, k in zip(points, it.count())
+    ])
+
 def remove_list_redundancies(l):
     """
     Used instead of lsit(set(l)) to maintain order
@@ -33,6 +41,12 @@ def adjascent_pairs(objects):
 def complex_to_R3(complex_num):
     return np.array((complex_num.real, complex_num.imag, 0))
 
+def tuplify(obj):
+    try:
+        return tuple(obj)
+    except:
+        return (obj,)
+
 def instantiate(obj):
     """
     Useful so that classes or instance of those classes can be 
@@ -120,9 +134,7 @@ def intersection(line1, line2):
     return result
 
 def random_color():
-    color = Color()
-    color.set_rgb([1 - 0.5 * random() for x in range(3)])
-    return color
+    return random.choice(PALETTE)
 
 
 ################################################
@@ -314,7 +326,7 @@ def z_to_vector(vector):
     ])
     return np.dot(rotation_about_z(theta), phi_down)
 
-def rotate_vector(vector, angle, axis):
+def rotate_vector(vector, angle, axis = OUT):
     return np.dot(rotation_matrix(angle, axis), vector)
 
 def angle_between(v1, v2):