example approximation

ExampleApproximation.py

from big_ol_pile_of_manim_imports import *

class ExampleApproximation(GraphScene):
    CONFIG = {
    "function" : lambda x : np.cos(x),
    "function_color" : BLUE,
    "taylor" : [lambda x: 1, lambda x: 1-x**2/2, lambda x: 1-x**2/math.factorial(2)+x**4/math.factorial(4), lambda x: 1-x**2/2+x**4/math.factorial(4)-x**6/math.factorial(6),
    lambda x: 1-x**2/math.factorial(2)+x**4/math.factorial(4)-x**6/math.factorial(6)+x**8/math.factorial(8), lambda x: 1-x**2/math.factorial(2)+x**4/math.factorial(4)-x**6/math.factorial(6)+x**8/math.factorial(8) - x**10/math.factorial(10)],
    "center_point" : 0,
    "approximation_color" : GREEN,
    "x_min" : -10,
    "x_max" : 10,
    "y_min" : -1,
    "y_max" : 1,
    "graph_origin" : ORIGIN ,
    "x_labeled_nums" :range(-10,12,2),
    }

    def construct(self):
        self.setup_axes(animate=True)
        func_graph = self.get_graph(self.function,self.function_color,)
        approx_graphs = [self.get_graph(f,self.approximation_color) for f in self.taylor]

        term_num = [TexMobject("n = " + str(n),aligned_edge=TOP) for n in range(0,8)]

        term = VectorizedPoint(3*DOWN)

        approx_graph = VectorizedPoint(self.input_to_graph_point(self.center_point, func_graph))

        self.play(ShowCreation(func_graph))

        for n,graph in enumerate(approx_graphs):
            self.play(Transform(approx_graph, graph, run_time = 2), Transform(term,term_num[n]))
            self.wait()