middle of massive restructure, everything still broken

topics/functions.py

@@ -0,0 +1,65 @@
+from helpers import *
+
+from helpers import *
+
+from mobject import Mobject, Mobject1D, CompoundMobject
+
+
+class FunctionGraph(Mobject1D):
+    DEFAULT_CONFIG = {
+        "color" : BLUE,
+        "x_min" : -10,
+        "x_max" : 10,
+        "spatial_radius" : SPACE_WIDTH,
+    }
+    def __init__(self, function, **kwargs):
+        digest_config(self, FunctionGraph, kwargs, locals())
+        Mobject1D.__init__(self, **kwargs)
+
+    def generate_points(self):
+        numerical_radius = (self.x_max - self.x_min)/2
+        numerical_center = (self.x_max + self.x_min)/2
+        ratio = numerical_radius / self.spatial_radius
+        epsilon = self.epsilon * ratio
+        self.add_points([
+            np.array([(x-numerical_center)/ratio, self.function(x), 0])
+            for x in np.arange(self.x_min, self.x_max, self.epsilon)
+        ])
+
+
+class ParametricFunction(Mobject):
+    DEFAULT_CONFIG = {
+        "color" : WHITE,
+        "dim" : 1,
+        "expected_measure" : 10.0,
+        "density" : None
+    }
+    def __init__(self, function, **kwargs):
+        digest_config(self, ParametricFunction, kwargs, locals())
+        if self.density:
+            self.epsilon = 1.0 / self.density
+        elif self.dim == 1:
+            self.epsilon = 1.0 / self.expected_measure / DEFAULT_POINT_DENSITY_1D
+        else:
+            self.epsilon = 1.0 / np.sqrt(self.expected_measure) / DEFAULT_POINT_DENSITY_2D
+        Mobject.__init__(self, *args, **kwargs)
+
+    def generate_points(self):
+        if self.dim == 1:
+            self.add_points([
+                self.function(t)
+                for t in np.arange(-1, 1, self.epsilon)
+            ])
+        if self.dim == 2:
+            self.add_points([
+                self.function(s, t)
+                for t in np.arange(-1, 1, self.epsilon)
+                for s in np.arange(-1, 1, self.epsilon)
+            ])
+
+
+class Axes(CompoundMobject):
+    def __init__(self, **kwargs):
+        x_axis = NumberLine(**kwargs)
+        y_axis = NumberLine(**kwargs).rotate(np.pi/2, OUT)
+        CompoundMobject.__init__(self, x_axis, y_axis)