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1Tutorial_Intro.py
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from manim import *
import numpy as np
import random
class Tute1(Scene):
def construct(self):
plane = NumberPlane(x_range=[-7,7,1], y_range=[-4,4,1]).add_coordinates()
box = Rectangle(stroke_color = GREEN_C, stroke_opacity=0.7, fill_color = RED_B, fill_opacity = 0.5, height=1, width=1)
dot = always_redraw(lambda : Dot().move_to(box.get_center()))
code = Code("Math.py", style=Code.styles_list[12], background ="window", language = "python", insert_line_no = True,
tab_width = 2, line_spacing = 0.3, scale_factor = 0.5, font="Monospace").set_width(6).to_edge(UL, buff=0)
self.play(FadeIn(plane), Write(code), run_time = 6)
self.wait()
self.add(box, dot)
self.play(box.animate.shift(RIGHT*2), run_time=4)
self.wait()
self.play(box.animate.shift(UP*3), run_time=4)
self.wait()
self.play(box.animate.shift(DOWN*5+LEFT*5), run_time=4)
self.wait()
self.play(box.animate.shift(UP*1.5+RIGHT*1), run_time=4)
self.wait()
class Tute2(Scene):
def construct(self):
plane = NumberPlane(x_range=[-7,7,1], y_range=[-4,4,1]).add_coordinates()
axes = Axes(x_range=[-3,3,1], y_range=[-3,3,1], x_length = 6, y_length=6)
axes.to_edge(LEFT, buff=0.5)
circle = Circle(stroke_width = 6, stroke_color = YELLOW, fill_color = RED_C, fill_opacity = 0.8)
circle.set_width(2).to_edge(DR, buff=0)
triangle = Triangle(stroke_color = ORANGE, stroke_width = 10,
fill_color = GREY).set_height(2).shift(DOWN*3+RIGHT*3)
code = Code("Tute1Code2.py", style=Code.styles_list[12], background ="window", language = "python", insert_line_no = True,
tab_width = 2, line_spacing = 0.3, scale_factor = 0.5, font="Monospace").set_width(8).to_edge(UR, buff=0)
self.play(FadeIn(plane), Write(code), run_time=6)
self.wait()
self.play(Write(axes))
self.wait()
self.play(plane.animate.set_opacity(0.4))
self.wait()
self.play(DrawBorderThenFill(circle))
self.wait()
self.play(circle.animate.set_width(1))
self.wait()
self.play(Transform(circle, triangle), run_time=3)
self.wait()
class Tute3(Scene):
def construct(self):
rectangle = RoundedRectangle(stroke_width = 8, stroke_color = WHITE,
fill_color = BLUE_B, width = 4.5, height = 2).shift(UP*3+LEFT*4)
mathtext = MathTex("\\frac{3}{4} = 0.75"
).set_color_by_gradient(GREEN, PINK).set_height(1.5)
mathtext.move_to(rectangle.get_center())
mathtext.add_updater(lambda x : x.move_to(rectangle.get_center()))
code = Code("Tute1Code3.py", style=Code.styles_list[12], background ="window", language = "python", insert_line_no = True,
tab_width = 2, line_spacing = 0.3, scale_factor = 0.5, font="Monospace").set_width(8).to_edge(UR, buff=0)
self.play(Write(code), run_time=6)
self.wait()
self.play(FadeIn(rectangle))
self.wait()
self.play(Write(mathtext), run_time=2)
self.wait()
self.play(rectangle.animate.shift(RIGHT*1.5+DOWN*5), run_time=6)
self.wait()
mathtext.clear_updaters()
self.play(rectangle.animate.shift(LEFT*2 + UP*1), run_time=6)
self.wait()
class Tute4(Scene):
def construct(self):
r = ValueTracker(0.5) #Tracks the value of the radius
circle = always_redraw(lambda :
Circle(radius = r.get_value(), stroke_color = YELLOW,
stroke_width = 5))
line_radius = always_redraw(lambda :
Line(start = circle.get_center(), end = circle.get_bottom(), stroke_color = RED_B, stroke_width = 10)
)
line_circumference = always_redraw(lambda :
Line(stroke_color = YELLOW, stroke_width = 5
).set_length(2 * r.get_value() * PI).next_to(circle, DOWN, buff=0.2)
)
triangle = always_redraw(lambda :
Polygon(circle.get_top(), circle.get_left(), circle.get_right(), fill_color = GREEN_C)
)
self.play(LaggedStart(
Create(circle), DrawBorderThenFill(line_radius), DrawBorderThenFill(triangle),
run_time = 4, lag_ratio = 0.75
))
self.play(ReplacementTransform(circle.copy(), line_circumference), run_time = 2)
self.play(r.animate.set_value(2), run_time = 5)
class testing(Scene):
def construct(self):
play_icon = VGroup(*[SVGMobject(f"{HOME2}\\youtube_icon.svg") for k in range(8)]
).set_height(0.75).arrange(DOWN, buff=0.2).to_edge(UL, buff=0.1)
time = ValueTracker(0)
l = 3
g = 10
w = np.sqrt(g/l)
T = 2*PI / w
theta_max = 20/180*PI
p_x = -2
p_y = 3
shift_req = p_x*RIGHT+p_y*UP
vertical_line = DashedLine(start = shift_req, end = shift_req+3*DOWN)
theta = DecimalNumber().move_to(RIGHT*10)
theta.add_updater(lambda m : m.set_value((theta_max)*np.sin(w*time.get_value())))
def get_ball(x,y):
dot = Dot(fill_color = BLUE, fill_opacity = 1).move_to(x*RIGHT+y*UP).scale(3)
return dot
ball = always_redraw(lambda :
get_ball(shift_req+l*np.sin(theta.get_value()),
shift_req - l*np.cos(theta.get_value()))
)
def get_string():
line = Line(color = GREY, start = shift_req, end = ball.get_center())
return line
string = always_redraw(lambda : get_string())
def get_angle(theta):
if theta != 0:
if theta > 0:
angle = Angle(line1 = string, line2 = vertical_line, other_angle = True, radius = 0.5, color = YELLOW)
else:
angle = VectorizedPoint()
else:
angle = VectorizedPoint()
return angle
angle = always_redraw(lambda : get_angle(theta.get_value()))
guest_name = Tex("Manoj Dhakal").next_to(vertical_line.get_start(), RIGHT, buff=0.5)
guest_logo = ImageMobject(f"{HOME}\\guest_logo.png").set_width(2).next_to(guest_name, DOWN, buff=0.1)
pendulum = Group(string, ball, vertical_line, guest_name, guest_logo)
self.play(DrawBorderThenFill(play_icon), run_time = 3)
self.add(vertical_line, theta, ball, string, angle)
self.wait()
self.play(FadeIn(guest_name), FadeIn(guest_logo))
self.play(time.animate.set_value(2*T), rate_func = linear, run_time = 2*T)
self.play(pendulum.animate.set_height(0.6).move_to(play_icon[7].get_center()), run_time = 2)
self.remove(theta, angle, ball, string)
self.wait()
class parametric(ThreeDScene):
def construct(self):
axes = ThreeDAxes().add_coordinates()
end = ValueTracker(-4.9)
graph = always_redraw(lambda :
ParametricFunction(lambda u : np.array([4*np.cos(u), 4*np.sin(u), 0.5*u]),
color = BLUE, t_min = -3*TAU, t_range = [-5, end.get_value()])
)
line = always_redraw(lambda :
Line(start = ORIGIN, end = graph.get_end(), color = BLUE).add_tip()
)
self.set_camera_orientation(phi = 70*DEGREES, theta = -30*DEGREES)
self.add(axes, graph, line)
self.play(end.animate.set_value(5), run_time = 3)
self.wait()
class Test(Scene):
def construct(self):
self.camera.background_color = "#FFDE59"
text = Tex("$3x \cdot 5x = 135$",color=BLACK).scale(1.4)
text2 = MathTex("15x^2=135",color=BLACK).scale(1.4)
a = [-2, 0, 0]
b = [2, 0, 0]
c = [0, 2*np.sqrt(3), 0]
p = [0.37, 1.4, 0]
dota = Dot(a, radius=0.06,color=BLACK)
dotb = Dot(b, radius=0.06,color=BLACK)
dotc = Dot(c, radius=0.06,color=BLACK)
dotp = Dot(p, radius=0.06,color=BLACK)
lineap = Line(dota.get_center(), dotp.get_center()).set_color(BLACK)
linebp = Line(dotb.get_center(), dotp.get_center()).set_color(BLACK)
linecp = Line(dotc.get_center(), dotp.get_center()).set_color(BLACK)
equilateral = Polygon(a,b,c)
triangle = Polygon(a,b,p)
self.play(Write(equilateral))
self.wait()
self.play(Write(VGroup(lineap,linebp,linecp,triangle)))
self.wait()
self.play(triangle.animate.rotate(0.4))
self.wait()