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# -*- coding: utf-8 -*-
import sys, os
sys.path.insert(0, os.path.dirname(os.path.abspath(__file__)))
from manim import *
from tiktok import *
COLS, ROWS = 25, 40
PX, PY = 0.27, 0.175
GY = 1.65 # vertical centre of the grid
RAD = 0.062
DIMMED = "#2B3A5C"
SICK = 437 # row 17, column 12 (ends up centred)
FALSE_POS = [63, 147, 232, 318, 389, 476, 551, 668, 742, 861]
def pos(i):
r, c = divmod(i, COLS)
return np.array([(c - (COLS - 1) / 2) * PX,
GY + ((ROWS - 1) / 2 - r) * PY, 0.0])
class Bayes(TikTok):
NAME = "bayes"
def construct(self):
self.prepare()
chip = self.chip("Probabilidad", C_SKY)
# --- the test card ---------------------------------------------------
frame_box = RoundedRectangle(corner_radius=0.32, width=6.4, height=3.4, stroke_width=5,
stroke_color=C_SKY, fill_color="#121C33",
fill_opacity=1).move_to(UP * 3.5)
et = Text("TEST", font=FONT, font_size=40, weight=BOLD, color=C_GRAY)
num = Text("99%", font=FONT, font_size=118, weight=BOLD, color=AMBER)
footer = Text("de precisión", font=FONT, font_size=38, weight=BOLD, color=WHITE)
VGroup(et, num, footer).arrange(DOWN, buff=0.18).move_to(frame_box)
card = VGroup(frame_box, et, num, footer)
with self.beat(0) as b:
b.play(FadeIn(chip, shift=DOWN * 0.3), run_time=0.4)
b.play(GrowFromCenter(card), run_time=0.8)
b.play(Flash(num, color=AMBER, line_length=0.35, num_lines=14,
flash_radius=1.7), run_time=0.9)
stamp = VGroup(
RoundedRectangle(corner_radius=0.18, width=4.7, height=1.25, stroke_width=8,
stroke_color=C_PINK, fill_color="#2A0E18", fill_opacity=0.94),
Text("POSITIVO", font=FONT, font_size=60, weight=BOLD, color=C_PINK))
stamp.rotate(-0.09).move_to(frame_box.get_bottom() + DOWN * 0.05)
with self.beat(1) as b:
b.play(FadeIn(stamp, scale=2.4), run_time=0.55)
b.play(Wiggle(stamp, scale_value=1.07), run_time=1.0)
question = Text("La mayoría contesta:", font=FONT, font_size=40,
weight=BOLD, color=C_GRAY).move_to(UP * 0.45)
wrong = Text("99%", font=FONT, font_size=106, weight=BOLD, color=C_GRAY)
wrong.next_to(question, DOWN, buff=0.28)
with self.beat(2) as b:
b.play(FadeIn(question, shift=UP * 0.2), run_time=0.5)
b.play(FadeIn(wrong, scale=0.7), run_time=0.7)
strike = Line(wrong.get_left() + LEFT * 0.28, wrong.get_right() + RIGHT * 0.28,
stroke_width=11, color=C_PINK)
right_ok = Text("9%", font=FONT, font_size=150, weight=BOLD,
color=C_GREEN).move_to(DOWN * 2.05)
with self.beat(3) as b:
b.play(Create(strike), run_time=0.45)
b.play(FadeIn(right_ok, scale=0.6), run_time=0.7)
b.play(Flash(right_ok, color=C_GREEN, flash_radius=1.7, num_lines=16), run_time=0.9)
# --- las mil personas -------------------------------------------------
point_list = VGroup(*[Dot(radius=RAD, color=DIMMED, fill_opacity=1).move_to(pos(i))
for i in range(COLS * ROWS)])
caption = Text("1.000 personas", font=FONT, font_size=40, weight=BOLD,
color=WHITE).move_to(UP * 5.55)
with self.beat(4) as b:
b.play(FadeOut(VGroup(card, stamp, question, wrong, strike, right_ok)), run_time=0.5)
b.play(FadeIn(point_list, lag_ratio=0), FadeIn(caption, shift=DOWN * 0.2),
run_time=1.1)
sick = point_list[SICK]
ring = Circle(radius=0.30, stroke_width=6, color=C_PINK).move_to(pos(SICK))
small_box = RoundedRectangle(corner_radius=0.14, width=2.45, height=0.7, stroke_width=0,
fill_color="#0B0F1A", fill_opacity=0.92)
txt = Text("1 enferma", font=FONT, font_size=34, weight=BOLD, color=C_PINK)
etiq = VGroup(small_box, txt).move_to(pos(SICK) + RIGHT * 1.95)
guide = Line(ring.get_right(), etiq.get_left(), stroke_width=4, color=C_PINK)
with self.beat(5) as b:
b.play(sick.animate.set_color(C_PINK).scale(2.2), run_time=0.5)
b.play(Create(ring), run_time=0.4)
b.play(Create(guide), FadeIn(etiq), run_time=0.5)
# --- the test sweep ---------------------------------------------------
sweep = Line(LEFT * 3.6, RIGHT * 3.6, stroke_width=6, color=C_SKY)
sweep.move_to([0, pos(0)[1] + 0.22, 0])
ley1 = VGroup(Dot(radius=0.12, color=C_PINK),
Text("1 positivo verdadero", font=FONT, font_size=36,
weight=BOLD, color=WHITE)).arrange(RIGHT, buff=0.26)
ley1.move_to(DOWN * 2.15)
with self.beat(6) as b:
b.play(FadeIn(sweep), run_time=0.25)
b.play(sweep.animate.move_to([0, pos(COLS * ROWS - 1)[1] - 0.22, 0]),
run_time=max(0.9, b.floor - 1.5), rate_func=linear)
b.play(FadeOut(sweep),
Flash(ring, color=C_GREEN, flash_radius=0.65, num_lines=12),
run_time=0.5)
b.add(ley1)
# --- the false positives ----------------------------------------------
false_pos = VGroup(*[point_list[i] for i in FALSE_POS])
with self.beat(7) as b:
b.play(LaggedStart(*[p.animate.set_color(AMBER).scale(2.2) for p in false_pos],
lag_ratio=0.2), run_time=max(1.3, b.floor - 0.7))
ley2 = VGroup(Dot(radius=0.12, color=AMBER),
Text("10 falsos positivos", font=FONT, font_size=36,
weight=BOLD, color=WHITE)).arrange(RIGHT, buff=0.26)
ley2.move_to(DOWN * 2.78)
with self.beat(8) as b:
b.play(FadeIn(ley2, shift=UP * 0.2), run_time=0.45)
b.play(*[Indicate(p, color=AMBER, scale_factor=1.7) for p in false_pos],
run_time=1.1)
# --- the eleven positives, in a row -----------------------------------
marked = set(FALSE_POS) | {SICK}
remainder = VGroup(*[p for j, p in enumerate(point_list) if j not in marked])
chosen = [point_list[SICK]] + [point_list[i] for i in FALSE_POS]
count = Text("11 positivos", font=FONT, font_size=52, weight=BOLD,
color=WHITE).move_to(UP * 2.2)
frac = Text("1 de 11 = 9%", font=FONT, font_size=90, weight=BOLD,
color=C_GREEN).move_to(UP * 0.7)
with self.beat(9) as b:
b.play(remainder.animate.set_opacity(0.12),
FadeOut(VGroup(ring, guide, etiq, caption, ley1, ley2)), run_time=0.5)
b.play(*[p.animate.move_to([(k - 5) * 0.62, 3.35, 0]).scale(2.4)
for k, p in enumerate(chosen)], run_time=0.9)
b.play(FadeIn(count, shift=UP * 0.2), run_time=0.4)
b.play(FadeIn(frac, scale=0.7), run_time=0.6)
closing = VGroup(
Text("Si la enfermedad es rara,", font=FONT, font_size=42, weight=BOLD, color=C_GRAY),
Text("un positivo suelto", font=FONT, font_size=50, weight=BOLD, color=WHITE),
Text("casi siempre es falso", font=FONT, font_size=50, weight=BOLD, color=AMBER),
).arrange(DOWN, buff=0.32).move_to(DOWN * 1.75)
with self.beat(10) as b:
b.play(FadeOut(remainder), run_time=0.4)
b.play(FadeIn(closing, shift=UP * 0.25), run_time=0.8)
b.play(Flash(frac, color=C_GREEN, flash_radius=2.2, num_lines=18), run_time=0.9)
self.finish()
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