From 5cc5b204085a75bbee40f697d63c355fdc243617 Mon Sep 17 00:00:00 2001
From: Ben Hambrecht <ben@hambrecht.ch>
Date: Fri, 13 Apr 2018 13:32:58 +0200
Subject: [PATCH] throwing darts

---
 active_projects/eop/chapter1.py | 71 +++++++++++++++++++++++++++------
 1 file changed, 59 insertions(+), 12 deletions(-)

diff --git a/active_projects/eop/chapter1.py b/active_projects/eop/chapter1.py
index 6e62cf9f..6552a47e 100644
--- a/active_projects/eop/chapter1.py
+++ b/active_projects/eop/chapter1.py
@@ -1121,7 +1121,7 @@ class RowOfDice(VGroup):
 
 
 
-class ShowUncertainty(PiCreatureScene):
+class ShowUncertainty1(PiCreatureScene):
 
     def throw_a_die(self):
 
@@ -1132,21 +1132,28 @@ class ShowUncertainty(PiCreatureScene):
         new_hist = self.hist_from_tallies()
 
         self.play(
-            ApplyMethod(face.submobjects[0].set_fill, {"opacity": 1}, rate_func = there_and_back),
-            Transform(self.dice_histogram, new_hist)
+            ApplyMethod(face.submobjects[0].set_fill, {"opacity": 1},
+                rate_func = there_and_back,
+                run_time = 0.3,
+            ),
+        )
+        self.play(
+            Transform(self.dice_histogram, new_hist,
+                run_time = 0.5)
         )
 
 
 
     def hist_from_tallies(self):
-        hist = Histogram(0.5 * np.ones(6), self.tallies, 
+        x_scale = self.row_of_dice.get_width() / np.size(self.tallies)
+        hist = Histogram(np.ones(6), self.tallies, 
             mode = "widths", 
             x_labels = "none",
-            y_scale = 0.5
+            y_scale = 0.5,
+            x_scale = x_scale
         )
 
         hist.next_to(self.row_of_dice, UP)
-        hist.stretch_to_fit_width(self.row_of_dice.get_width())
         return hist
 
     def construct(self):
@@ -1154,18 +1161,58 @@ class ShowUncertainty(PiCreatureScene):
         self.row_of_dice = RowOfDice().scale(0.5).move_to(3 * DOWN)
         self.add(self.row_of_dice)
 
-        self.tallies = np.ones(6)
+        self.tallies = np.zeros(6)
         self.dice_histogram = self.hist_from_tallies()
         
         self.add(self.dice_histogram)
 
         for i in range(30):
             self.throw_a_die()
-
-
-
-
-
+            self.wait()
+
+
+
+
+class ShowUncertainty2(PiCreatureScene):
+
+
+    def throw_darts(self, n, run_time = 1):
+
+        points = np.random.normal(
+            loc = self.dartboard.get_center(),
+            scale = 0.6 * np.ones(3),
+            size = (n,3)
+        )
+        points[:,2] = 0
+        dots = VGroup()
+        for point in points:
+            dot = Dot(point, radius = 0.04, fill_opacity = 0.7)
+            dots.add(dot)
+            self.add(dot)
+
+        self.play(
+            LaggedStart(FadeIn, dots, lag_ratio = 0.01, run_time = run_time)
+        )
+
+
+    def construct(self):
+
+        self.dartboard = ImageMobject("dartboard").scale(2)
+        dartboard_circle = Circle(
+            radius = self.dartboard.get_width() / 2,
+            fill_color = BLACK,
+            fill_opacity = 0.5,
+            stroke_color = WHITE,
+            stroke_width = 5
+        )
+        self.dartboard.add(dartboard_circle)
+
+        self.add(self.dartboard)
+    
+        self.throw_darts(5,5)
+        self.throw_darts(20,5)
+        self.throw_darts(100,5)
+        self.throw_darts(1000,5)