Manim: animazioni matematiche scritte in Python!
Pubblicato il
L’animazione viene programmata utilizzando il linguaggio di alto livello Python, ed eseguendo il comando
$ manim -pqh --format=gif scene.py Function
Viene generata l’immagine animata (senza l’argomento --format=gif si ottiene un file .mp4, -p apre l’immagine/video al termine del rendering mentre -qh indica la qualità: 1080p 60fps).
Il codice
Il codice contenente le istruzioni consiste in un solo file chiamato scene.py:
from manim import *
import math
class Function(GraphScene):
def __init__(self, **kwargs):
GraphScene.__init__(
self,
x_min=0,
x_max=8,
y_min=0,
y_max=5,
y_labeled_nums=[0,1,2,3,4,5],
x_labeled_nums=[0,1,2,3,4,5,6,7,8],
**kwargs)
def construct(self):
self.setup_axes()
a = 1
b = 1
function1 = self.get_graph(lambda x: a * (1 - math.exp(-x / b)),
x_min=0, x_max=10)
a = 4
b = 1
function2 = self.get_graph(lambda x: a * (1 - math.exp(-x / b)),
x_min=0, x_max=10)
a = 1 / 4
b = 1
function3 = self.get_graph(lambda x: a * (1 - math.exp(-x / b)),
x_min=0, x_max=10)
a = 1
b = 1
function4 = self.get_graph(lambda x: a * (1 - math.exp(-x / b)),
x_min=0, x_max=10)
a = 1
b = 4
function5 = self.get_graph(lambda x: a * (1 - math.exp(-x / b)),
x_min=0, x_max=10)
a = 1
b = 1 / 4
function6 = self.get_graph(lambda x: a * (1 - math.exp(-x / b)),
x_min=0, x_max=10)
a = 1
b = 1
function7 = self.get_graph(lambda x: a * (1 - math.exp(-x / b)),
x_min=0, x_max=10)
functiontext1 = MathTex(r'f(x)').next_to(function1, UP)
functiontext2 = MathTex(r'f(x)').next_to(function2, UP)
functiontext3 = MathTex(r'f(x)').next_to(function3, UP)
functiontext4 = MathTex(r'f(x)').next_to(function4, UP)
functiontext5 = MathTex(r'f(x)').next_to(function5, UP)
functiontext6 = MathTex(r'f(x)').next_to(function6, UP)
functiontext7 = MathTex(r'f(x)').next_to(function7, UP)
atext1 = MathTex(r'a = 1').shift(LEFT * (11 / 2) +
UP * (1 / 2))
btext1 = MathTex(r'b = 1').shift(LEFT * (11 / 2) +
DOWN * (1 / 2))
atext2 = MathTex(r'a = 4').shift(LEFT * (11 / 2) +
UP * (1 / 2))
btext2 = MathTex(r'b = 1').shift(LEFT * (11 / 2) +
DOWN * (1 / 2))
atext3 = MathTex(r'a = \frac{1}{4}').shift(LEFT * (11 / 2) +
UP * (1 / 2))
btext3 = MathTex(r'b = 1').shift(LEFT * (11 / 2) +
DOWN * (1 / 2))
atext4 = MathTex(r'a = 1').shift(LEFT * (11 / 2) +
UP * (1 / 2))
btext4 = MathTex(r'b = 1').shift(LEFT * (11 / 2) +
DOWN * (1 / 2))
atext5 = MathTex(r'a = 1').shift(LEFT * (11 / 2) +
UP * (1 / 2))
btext5 = MathTex(r'b = 4').shift(LEFT * (11 / 2) +
DOWN * (1 / 2))
atext6 = MathTex(r'a = 1').shift(LEFT * (11 / 2) +
UP * (1 / 2))
btext6 = MathTex(r'b = \frac{1}{4}').shift(LEFT * (11 / 2) +
DOWN * (1 / 2))
atext7 = MathTex(r'a = 1').shift(LEFT * (11 / 2) +
UP * (1 / 2))
btext7 = MathTex(r'b = 1').shift(LEFT * (11 / 2) +
DOWN * (1 / 2))
self.add(atext1, btext1)
self.play(Create(function1), Write(functiontext1))
self.wait(2)
self.play(Transform(function1, function2),
Transform(functiontext1, functiontext2),
Transform(atext1, atext2),
Transform(btext1, btext2))
self.wait(2)
self.play(Transform(function1, function3),
Transform(functiontext1, functiontext3),
Transform(atext1, atext3),
Transform(btext1, btext3))
self.wait(2)
self.play(Transform(function1, function4),
Transform(functiontext1, functiontext4),
Transform(atext1, atext4),
Transform(btext1, btext4))
self.wait(2)
self.play(Transform(function1, function5),
Transform(functiontext1, functiontext5),
Transform(atext1, atext5),
Transform(btext1, btext5))
self.wait(2)
self.play(Transform(function1, function6),
Transform(functiontext1, functiontext6),
Transform(atext1, atext6),
Transform(btext1, btext6))
self.wait(2)
self.play(Transform(function1, function7),
Transform(functiontext1, functiontext7),
Transform(atext1, atext7),
Transform(btext1, btext7))
self.wait(2)
self.play(Uncreate(function1), Unwrite(functiontext1))
self.wait(2)
Il risultato finale
