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65 lines
2 KiB
Python
65 lines
2 KiB
Python
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from helpers import *
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from helpers import *
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from mobject import Mobject, Mobject1D, CompoundMobject
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class FunctionGraph(Mobject1D):
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DEFAULT_CONFIG = {
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"color" : BLUE,
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"x_min" : -10,
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"x_max" : 10,
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"spatial_radius" : SPACE_WIDTH,
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}
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def __init__(self, function, **kwargs):
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digest_config(self, FunctionGraph, kwargs, locals())
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Mobject1D.__init__(self, **kwargs)
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def generate_points(self):
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numerical_radius = (self.x_max - self.x_min)/2
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numerical_center = (self.x_max + self.x_min)/2
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ratio = numerical_radius / self.spatial_radius
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epsilon = self.epsilon * ratio
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self.add_points([
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np.array([(x-numerical_center)/ratio, self.function(x), 0])
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for x in np.arange(self.x_min, self.x_max, self.epsilon)
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])
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class ParametricFunction(Mobject):
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DEFAULT_CONFIG = {
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"color" : WHITE,
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"dim" : 1,
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"expected_measure" : 10.0,
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"density" : None
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}
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def __init__(self, function, **kwargs):
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digest_config(self, ParametricFunction, kwargs, locals())
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if self.density:
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self.epsilon = 1.0 / self.density
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elif self.dim == 1:
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self.epsilon = 1.0 / self.expected_measure / DEFAULT_POINT_DENSITY_1D
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else:
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self.epsilon = 1.0 / np.sqrt(self.expected_measure) / DEFAULT_POINT_DENSITY_2D
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Mobject.__init__(self, *args, **kwargs)
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def generate_points(self):
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if self.dim == 1:
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self.add_points([
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self.function(t)
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for t in np.arange(-1, 1, self.epsilon)
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])
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if self.dim == 2:
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self.add_points([
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self.function(s, t)
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for t in np.arange(-1, 1, self.epsilon)
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for s in np.arange(-1, 1, self.epsilon)
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])
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class Axes(CompoundMobject):
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def __init__(self, **kwargs):
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x_axis = NumberLine(**kwargs)
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y_axis = NumberLine(**kwargs).rotate(np.pi/2, OUT)
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CompoundMobject.__init__(self, x_axis, y_axis)
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