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[pre-commit.ci] auto fixes from pre-commit.com hooks
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pre-commit-ci[bot] committed Jan 15, 2025
1 parent 579c51d commit c62d7b2
Showing 1 changed file with 116 additions and 36 deletions.
152 changes: 116 additions & 36 deletions example_scenes/foundational_math.py
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Original file line number Diff line number Diff line change
@@ -1,5 +1,6 @@
from manim import *


class FoundationalMath(Scene):
def construct(self):
text = Tex("Foundational Math Concepts").scale(1.5)
Expand All @@ -13,7 +14,7 @@ def construct(self):
# Create sets A and B
circle_a = Circle(radius=2, color=BLUE, fill_opacity=0.5).shift(LEFT)
circle_b = Circle(radius=2, color=GREEN, fill_opacity=0.5).shift(RIGHT)

text_a = Tex("A").move_to(circle_a.get_center())
text_b = Tex("B").move_to(circle_b.get_center())

Expand All @@ -23,28 +24,62 @@ def construct(self):
# Union of A and B
union_text = Tex("A $\cup$ B").to_corner(UP)
self.play(Write(union_text))
union_region = Intersection(circle_a, circle_b).set_color(YELLOW).set_fill(YELLOW, opacity=0.5)
union_region_a = Difference(circle_a, circle_b).set_color(YELLOW).set_fill(YELLOW, opacity=0.5)
union_region_b = Difference(circle_b, circle_a).set_color(YELLOW).set_fill(YELLOW, opacity=0.5)
union_region = (
Intersection(circle_a, circle_b)
.set_color(YELLOW)
.set_fill(YELLOW, opacity=0.5)
)
union_region_a = (
Difference(circle_a, circle_b)
.set_color(YELLOW)
.set_fill(YELLOW, opacity=0.5)
)
union_region_b = (
Difference(circle_b, circle_a)
.set_color(YELLOW)
.set_fill(YELLOW, opacity=0.5)
)
self.play(FadeIn(union_region_a), FadeIn(union_region_b), FadeIn(union_region))
self.wait()
self.play(FadeOut(union_region_a), FadeOut(union_region_b), FadeOut(union_region), FadeOut(union_text))

self.play(
FadeOut(union_region_a),
FadeOut(union_region_b),
FadeOut(union_region),
FadeOut(union_text),
)

# Intersection of A and B
intersection_text = Tex("A $\cap$ B").to_corner(UP)
self.play(Write(intersection_text))
intersection_region = Intersection(circle_a, circle_b).set_color(YELLOW).set_fill(YELLOW, opacity=0.5)
intersection_region = (
Intersection(circle_a, circle_b)
.set_color(YELLOW)
.set_fill(YELLOW, opacity=0.5)
)
self.play(FadeIn(intersection_region))
self.wait()
self.play(FadeOut(intersection_region), FadeOut(intersection_text))

# Complement of A
complement_text = Tex("A$^c$").to_corner(UP)
self.play(Write(complement_text))
complement_region = Difference(Rectangle(width=10, height=10, color=WHITE).move_to(ORIGIN), circle_a).set_color(YELLOW).set_fill(YELLOW, opacity=0.5)
complement_region = (
Difference(
Rectangle(width=10, height=10, color=WHITE).move_to(ORIGIN), circle_a
)
.set_color(YELLOW)
.set_fill(YELLOW, opacity=0.5)
)
self.play(FadeIn(complement_region))
self.wait()
self.play(FadeOut(complement_region), FadeOut(complement_text), FadeOut(circle_a), FadeOut(circle_b), FadeOut(text_a), FadeOut(text_b))
self.play(
FadeOut(complement_region),
FadeOut(complement_text),
FadeOut(circle_a),
FadeOut(circle_b),
FadeOut(text_a),
FadeOut(text_b),
)


class FunctionGraphs(Scene):
Expand Down Expand Up @@ -73,29 +108,43 @@ def quadratic_function(x):
return 0.2 * x**2 - 1

quadratic_graph = axes.plot(quadratic_function, color=GREEN)
quadratic_label = axes.get_graph_label(quadratic_graph, "y = 0.2x^2 - 1", direction=UR)
quadratic_label = axes.get_graph_label(
quadratic_graph, "y = 0.2x^2 - 1", direction=UR
)
self.play(Create(quadratic_graph), Write(quadratic_label))
self.wait()

# Exponential function
def exponential_function(x):
return 2**x/5
return 2**x / 5

exponential_graph = axes.plot(exponential_function, color=RED, x_range=[-3, 3])
exponential_label = axes.get_graph_label(exponential_graph, "y = 2^x/5", direction=UR)
exponential_label = axes.get_graph_label(
exponential_graph, "y = 2^x/5", direction=UR
)
self.play(Create(exponential_graph), Write(exponential_label))
self.wait()

self.play(FadeOut(axes), FadeOut(linear_graph), FadeOut(linear_label), FadeOut(quadratic_graph), FadeOut(quadratic_label), FadeOut(exponential_graph), FadeOut(exponential_label))

self.play(
FadeOut(axes),
FadeOut(linear_graph),
FadeOut(linear_label),
FadeOut(quadratic_graph),
FadeOut(quadratic_label),
FadeOut(exponential_graph),
FadeOut(exponential_label),
)


class GeometricShapes(Scene):
def construct(self):
# Create shapes
circle = Circle(radius=2, color=BLUE, fill_opacity=0.5).shift(LEFT * 3)
triangle = Triangle(color=GREEN, fill_opacity=0.5).shift(UP*2)
rectangle = Rectangle(width=4, height=3, color=RED, fill_opacity=0.5).shift(RIGHT*3 + DOWN*1)

triangle = Triangle(color=GREEN, fill_opacity=0.5).shift(UP * 2)
rectangle = Rectangle(width=4, height=3, color=RED, fill_opacity=0.5).shift(
RIGHT * 3 + DOWN * 1
)

self.play(Create(circle), Create(triangle), Create(rectangle))
self.wait()

Expand All @@ -105,15 +154,31 @@ def construct(self):
rectangle_area = MathTex("Area = lw").next_to(rectangle, DOWN)
self.play(Write(circle_area), Write(triangle_area), Write(rectangle_area))
self.wait()

# Display perimeter
circle_perimeter = MathTex("Perimeter = 2\pi r").next_to(circle_area, DOWN)
triangle_perimeter = MathTex("Perimeter = a+b+c").next_to(triangle_area, DOWN)
rectangle_perimeter = MathTex("Perimeter = 2(l+w)").next_to(rectangle_area, DOWN)
self.play(Write(circle_perimeter), Write(triangle_perimeter), Write(rectangle_perimeter))
rectangle_perimeter = MathTex("Perimeter = 2(l+w)").next_to(
rectangle_area, DOWN
)
self.play(
Write(circle_perimeter),
Write(triangle_perimeter),
Write(rectangle_perimeter),
)
self.wait()

self.play(FadeOut(circle), FadeOut(triangle), FadeOut(rectangle), FadeOut(circle_area), FadeOut(triangle_area), FadeOut(rectangle_area), FadeOut(circle_perimeter), FadeOut(triangle_perimeter), FadeOut(rectangle_perimeter))

self.play(
FadeOut(circle),
FadeOut(triangle),
FadeOut(rectangle),
FadeOut(circle_area),
FadeOut(triangle_area),
FadeOut(rectangle_area),
FadeOut(circle_perimeter),
FadeOut(triangle_perimeter),
FadeOut(rectangle_perimeter),
)


class VectorVisualizations(Scene):
Expand All @@ -135,18 +200,26 @@ def construct(self):
self.wait()

# Vector addition
vector_sum = Vector([1, 5], color=YELLOW).shift(DOWN+RIGHT)
vector_sum = Vector([1, 5], color=YELLOW).shift(DOWN + RIGHT)
sum_label = MathTex("a+b").next_to(vector_sum, UR)
self.play(Create(vector_sum), Write(sum_label))
self.wait()

# Scalar multiplication
vector_scaled = Vector([4, 4], color=RED).shift(DOWN*2)
vector_scaled = Vector([4, 4], color=RED).shift(DOWN * 2)
scaled_label = MathTex("2a").next_to(vector_scaled, UR)
self.play(Transform(vector_a, vector_scaled), Write(scaled_label))
self.wait()

self.play(FadeOut(axes), FadeOut(vector_a), FadeOut(vector_b), FadeOut(vector_sum), FadeOut(sum_label), FadeOut(vector_scaled), FadeOut(scaled_label))

self.play(
FadeOut(axes),
FadeOut(vector_a),
FadeOut(vector_b),
FadeOut(vector_sum),
FadeOut(sum_label),
FadeOut(vector_scaled),
FadeOut(scaled_label),
)


class ProbabilityDistributions(Scene):
Expand All @@ -158,31 +231,38 @@ def construct(self):
x_length=8,
y_length=4,
axis_config={"include_numbers": True},
).shift(UP*2)
).shift(UP * 2)
self.play(Create(axes_uniform))

bars = []
for i in range(10):
bar = Rectangle(width=0.8, height=0.8, color=BLUE, fill_opacity=0.5).move_to(axes_uniform.c2p(i+0.5, 0.4))
bar = Rectangle(
width=0.8, height=0.8, color=BLUE, fill_opacity=0.5
).move_to(axes_uniform.c2p(i + 0.5, 0.4))
bars.append(bar)
self.play(Create(bar), run_time=0.1)
self.wait()

# Normal distribution
axes_normal = Axes(
x_range=[-5, 5, 1],
y_range=[0, 0.5, 0.1],
x_length=8,
x_length=8,
y_length=4,
axis_config={"include_numbers": True},
).shift(DOWN*2)
).shift(DOWN * 2)
self.play(Create(axes_normal))

def normal_distribution(x):
return 0.4 * np.exp(-x**2 / 2)
return 0.4 * np.exp(-(x**2) / 2)

normal_curve = axes_normal.plot(normal_distribution, color=RED)
self.play(Create(normal_curve))
self.wait()

self.play(FadeOut(axes_uniform),*[FadeOut(bar) for bar in bars], FadeOut(axes_normal), FadeOut(normal_curve))

self.play(
FadeOut(axes_uniform),
*[FadeOut(bar) for bar in bars],
FadeOut(axes_normal),
FadeOut(normal_curve),
)

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