mirror of
https://github.com/3b1b/manim.git
synced 2025-07-29 21:12:35 +08:00
Beginning eola chapter 1
This commit is contained in:
Grant Sanderson
@ -132,6 +132,9 @@ COLOR_MAP = {
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"GREY" : "#888888",
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"DARK_GREY" : "#444444",
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"DARK_GRAY" : "#444444",
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"GREY_BROWN" : "#736357",
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"PINK" : "#D147BD",
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"GREEN_SCREEN": "#00FF00",
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}
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PALETTE = COLOR_MAP.values()
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globals().update(COLOR_MAP)
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125
eola/chapter0.py
125
eola/chapter0.py
@ -23,6 +23,29 @@ from eola.utils import *
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EXAMPLE_TRANFORM = [[0, 1], [-1, 1]]
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TRANFORMED_VECTOR = [[1], [2]]
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def matrix_multiplication():
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return TexMobject("""
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\\left[
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\\begin{array}{cc}
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a & b \\\\
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c & d
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\\end{array}
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\\right]
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\\left[
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\\begin{array}{cc}
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e & f \\\\
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g & h
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\\end{array}
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\\right]
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=
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\\left[
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\\begin{array}{cc}
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ae + bg & af + bh \\\\
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ce + dg & cf + dh
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\\end{array}
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\\right]
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""")
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class OpeningQuote(Scene):
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def construct(self):
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words = TextMobject(
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@ -173,27 +196,7 @@ class AboutLinearAlgebra(Scene):
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def get_matrix_multiplication(self):
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return TexMobject("""
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\\left[
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\\begin{array}{cc}
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a & b \\\\
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c & d
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\\end{array}
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\\right]
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\\left[
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\\begin{array}{cc}
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e & f \\\\
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g & h
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\\end{array}
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\\right]
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=
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\\left[
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\\begin{array}{cc}
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ae + bg & af + bh \\\\
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ce + dg & cf + dh
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\\end{array}
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\\right]
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""")
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return matrix_multiplication()
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def get_determinant(self):
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return TexMobject("""
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@ -447,22 +450,38 @@ class LinAlgPyramid(Scene):
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self.dither()
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class IndimidatingProf(Scene):
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class IntimidatingProf(Scene):
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def construct(self):
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randy = Randolph().to_corner()
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morty = Mortimer().to_corner(DOWN+RIGHT)
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morty.shift(3*LEFT)
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morty_name1 = TextMobject("Professor")
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morty_name2 = TextMobject("Coworker")
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for name in morty_name1, morty_name2:
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name.to_edge(RIGHT)
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name.shift(2*UP)
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arrow = Arrow(morty_name1.get_bottom(), morty)
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speech_bubble = SpeechBubble(height = 3).flip()
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speech_bubble.pin_to(morty)
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speech_bubble.shift(RIGHT)
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speech_bubble.write("And of course $B^{-1}AB$ will \\\\ also have positive eigenvalues...")
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thought_bubble = ThoughtBubble(width = 4, height = 4)
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thought_bubble = ThoughtBubble(width = 6, height = 5)
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thought_bubble.next_to(morty, UP)
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thought_bubble.to_edge(RIGHT)
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thought_bubble.to_edge(RIGHT, buff = -1)
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thought_bubble.make_green_screen()
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q_marks = TextMobject("???")
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q_marks.next_to(randy, UP)
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randy_bubble = randy.get_bubble()
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randy_bubble.add_content(matrix_multiplication())
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self.add(randy, morty)
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self.play(
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FadeIn(morty_name1),
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ShowCreation(arrow, submobject_mode = "one_at_a_time")
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)
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self.play(Transform(morty_name1, morty_name2))
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self.dither()
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self.play(FadeOut(morty_name1), FadeOut(arrow))
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self.play(
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FadeIn(speech_bubble),
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ApplyMethod(morty.change_mode, "speaking")
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@ -473,6 +492,8 @@ class IndimidatingProf(Scene):
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ApplyMethod(randy.change_mode, "confused"),
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Write(q_marks, run_time = 1)
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)
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self.play(FadeOut(VMobject(speech_bubble, thought_bubble)))
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self.play(FadeIn(randy_bubble))
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self.dither()
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@ -605,10 +626,10 @@ class PhysicsExample(Scene):
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v_label = TexMobject("\\vec{v}")
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v_label.shift(p1 + RIGHT*vector[0]/4 + UP*vector[1]/2)
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v_label.highlight(v_mob.get_color())
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vx_label = TexMobject("\\vec{v} \\cos(\\theta)")
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vx_label = TexMobject("||\\vec{v}|| \\cos(\\theta)")
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vx_label.next_to(vx, UP)
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vx_label.highlight(vx.get_color())
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vy_label = TexMobject("\\vec{v} \\sin(\\theta)")
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vy_label = TexMobject("||\\vec{v}|| \\sin(\\theta)")
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vy_label.next_to(vy, RIGHT)
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vy_label.highlight(vy.get_color())
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@ -782,6 +803,7 @@ class ProfessorsTry(Scene):
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thought_bubble = ThoughtBubble(width = 4, height = 3.5)
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thought_bubble.next_to(morty, UP)
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thought_bubble.to_edge(RIGHT)
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thought_bubble.make_green_screen()
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randy = Randolph()
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randy.scale(0.8)
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randy.to_corner()
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@ -793,7 +815,7 @@ class ProfessorsTry(Scene):
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FadeIn(words)
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)
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self.play(Blink(randy))
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self.play(FadeIn(thought_bubble ))
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self.play(FadeIn(thought_bubble))
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self.play(Blink(morty))
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@ -890,6 +912,8 @@ class TableOfContents(Scene):
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ShowCreation(bubble),
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Transform(icons, new_icons)
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)
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self.remove(icons)
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bubble.make_green_screen()
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self.dither()
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@ -915,6 +939,53 @@ class ResourceForTeachers(Scene):
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self.play(Blink(randy))
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self.dither()
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class AboutPacing(Scene):
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def construct(self):
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words = TextMobject("About pacing...")
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dots = words.split()[-3:]
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words.remove(*dots)
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self.play(FadeIn(words))
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self.play(Write(VMobject(*dots)))
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self.dither()
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class DifferingBackgrounds(Scene):
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def construct(self):
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words = map(TextMobject, [
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"Just brushing up",
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"Has yet to take the course",
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"Supplementing course concurrently",
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])
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students = VMobject(*[
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Randolph(color = c)
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for c in BLUE_D, BLUE_C, BLUE_E
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])
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modes = ["pondering", "speaking_looking_left", "sassy"]
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students.arrange_submobjects(RIGHT)
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students.scale(0.8)
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students.center().to_edge(DOWN)
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last_word, last_arrow = None, None
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for word, student, mode in zip(words, students.split(), modes):
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word.shift(2*UP)
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arrow = Arrow(word, student)
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if last_word:
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word_anim = Transform(last_word, word)
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arrow_anim = Transform(last_arrow, arrow)
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else:
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word_anim = Write(word, run_time = 1)
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arrow_anim = ShowCreation(arrow, submobject_mode = "one_at_a_time")
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last_word = word
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last_arrow = arrow
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self.play(
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word_anim, arrow_anim,
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ApplyMethod(student.change_mode, mode)
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)
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self.play(Blink(student))
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self.dither()
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self.dither()
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class PauseAndPonder(Scene):
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def construct(self):
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pause = TexMobject("=").rotate(np.pi/2)
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149
eola/chapter1.py
Normal file
149
eola/chapter1.py
Normal file
@ -0,0 +1,149 @@
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from mobject.tex_mobject import TexMobject
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from mobject import Mobject
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from mobject.image_mobject import ImageMobject
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from mobject.vectorized_mobject import VMobject
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from animation.animation import Animation
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from animation.transform import *
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from animation.simple_animations import *
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from animation.playground import *
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from topics.geometry import *
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from topics.characters import *
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from topics.functions import *
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from topics.number_line import *
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from topics.combinatorics import *
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from scene import Scene
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from camera import Camera
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from mobject.svg_mobject import *
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from mobject.tex_mobject import *
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from mobject.vectorized_mobject import *
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from eola.utils import *
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import random
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class Physicist(PiCreature):
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CONFIG = {
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"color" : PINK,
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}
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class ComputerScientist(PiCreature):
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CONFIG = {
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"color" : PURPLE_E,
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"flip_at_start" : True,
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}
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class OpeningQuote(Scene):
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def construct(self):
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words = TextMobject(
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"``The introduction of numbers as \\\\ coordinates is an act of violence.''",
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)
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words.to_edge(UP)
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for mob in words.submobjects[27:27+11]:
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mob.highlight(GREEN)
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author = TextMobject("-Hermann Weyl")
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author.highlight(YELLOW)
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author.next_to(words, DOWN, buff = 0.5)
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self.play(FadeIn(words))
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self.dither(1)
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self.play(Write(author, run_time = 4))
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self.dither()
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class IntroVector(Scene):
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def construct(self):
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plane = NumberPlane()
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labels = plane.get_coordinate_labels()
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vector = Vector(RIGHT+2*UP, color = YELLOW)
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coordinates = vector_coordinate_label(vector)
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self.play(ShowCreation(
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plane,
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submobject_mode = "lagged_start",
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run_time = 3
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))
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self.play(ShowCreation(
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vector,
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submobject_mode = "one_at_a_time"
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))
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self.play(Write(VMobject(*labels)), Write(coordinates))
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self.dither()
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class DifferentConceptions(Scene):
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def construct(self):
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physy = Physicist()
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mathy = Mathematician(mode = "pondering")
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compy = ComputerScientist()
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people = [physy, compy, mathy]
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physy.name = TextMobject("Physics student").to_corner(DOWN+LEFT)
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compy.name = TextMobject("CS student").to_corner(DOWN+RIGHT)
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mathy.name = TextMobject("Mathematician").to_edge(DOWN)
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names = VMobject(physy.name, mathy.name, compy.name)
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names.arrange_submobjects(RIGHT, buff = 1)
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names.to_corner(DOWN+LEFT)
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for pi in people:
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pi.next_to(pi.name, UP)
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self.add(pi)
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for pi in people:
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self.play(Write(pi.name), run_time = 1)
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self.preview_conceptions(people)
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self.physics_conception(people)
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self.cs_conception(people)
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self.handle_mathy(people)
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def preview_conceptions(self, people):
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arrow = Vector(2*RIGHT+ UP)
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array = matrix_to_mobject([[2], [1]])
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tex = TextMobject("""
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Set $V$ with operations \\\\
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$a : V \\times V \\to V$ and \\\\
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$s : \\mathds{R} \\times V \\to V$ such that...
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""")
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physy, compy, mathy = people
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physy.bubble = physy.get_bubble("speech")
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compy.bubble = compy.get_bubble("speech")
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mathy.bubble = mathy.get_bubble(width = 4)
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for pi, sym in zip(people, [arrow, array, tex]):
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pi.bubble.set_fill(BLACK, opacity = 1.0)
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pi.bubble.add_content(sym)
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self.play(FadeIn(pi.bubble))
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self.dither()
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for pi in people:
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self.remove(pi.bubble)
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def physics_conception(self, people):
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pass
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def cs_conception(self, people):
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pass
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def handle_mathy(self, people):
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pass
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@ -10,9 +10,10 @@ from animation.simple_animations import ShowCreation
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from topics.number_line import NumberPlane
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from topics.geometry import Vector, Line, Circle
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from helpers import *
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VECTOR_LABEL_SCALE_VAL = 0.7
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def matrix_to_tex_string(matrix):
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matrix = np.array(matrix).astype("string")
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n_rows, n_cols = matrix.shape
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@ -28,6 +29,24 @@ def matrix_to_tex_string(matrix):
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def matrix_to_mobject(matrix):
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return TexMobject(matrix_to_tex_string(matrix))
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def vector_coordinate_label(vector_mob, integer_labels = True, n_dim = 2):
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vect = np.array(vector_mob.get_end())
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if integer_labels:
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vect = vect.astype(int)
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vect = vect[:n_dim]
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vect = vect.reshape((n_dim, 1))
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label = matrix_to_mobject(vect)
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label.scale(VECTOR_LABEL_SCALE_VAL)
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shift_dir = np.array(vector_mob.get_end())
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if shift_dir[0] > 0: #Pointing right
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shift_dir -= label.get_left() + DEFAULT_MOBJECT_TO_MOBJECT_BUFFER*LEFT
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else: #Pointing left
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shift_dir -= label.get_right() + DEFAULT_MOBJECT_TO_MOBJECT_BUFFER*RIGHT
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label.shift(shift_dir)
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return label
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class LinearTransformationScene(Scene):
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CONFIG = {
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"include_background_plane" : True,
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@ -125,7 +125,7 @@ class Randolph(PiCreature):
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class Mortimer(PiCreature):
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CONFIG = {
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"color" : "#736357",
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"color" : GREY_BROWN,
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"flip_at_start" : True,
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}
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@ -233,4 +233,13 @@ class ThoughtBubble(Bubble):
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lambda m1, m2 : int((m1.get_bottom()-m2.get_bottom())[1])
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)
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def make_green_screen(self):
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self.submobjects[-1].set_fill(GREEN_SCREEN, opacity = 1)
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return self
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@ -168,7 +168,7 @@ class Arrow(Line):
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class Vector(Arrow):
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CONFIG = {
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"color" : WHITE,
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"color" : YELLOW,
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"buff" : 0,
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}
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def __init__(self, direction, **kwargs):
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Reference in New Issue
Block a user