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from manimlib.imports import *
class parametricCircle(ThreeDScene, GraphScene):
def construct(self):
self.x_min = -5
self.y_min = -5
self.graph_origin = ORIGIN
self.x_max = 5
self.y_max = 5
self.x_axis_label = ""
self.y_axis_label = ""
self.x_axis_width = 10
self.y_axis_height = 10
self.y_tick_frequency = 1.9
self.x_tick_frequency = 1.4
axes = []
# self.setup_axes()
ax = Axes(y_tick_frequency = 1, x_axis_width = 10, y_axis_height = 10, y_min = -5, x_max = 5, y_max = 5, x_tick_frequency = 1, x_axis_label = "", y_axis_label = "", x_min = -5, )
ax.scale(0.5).shift(3*LEFT)
axes.append(ax)
self.setup_axes()
self.axes.scale(0.3).shift(3*RIGHT + 2*UP)
axes.append(self.axes)
self.setup_axes()
self.axes.scale(0.3).shift(3*RIGHT + 2*DOWN)
axes.append(self.axes)
axes = VGroup(*axes)
t_value = ValueTracker(-3.14)
t_tex = DecimalNumber(t_value.get_value()).add_updater(lambda v: v.set_value(t_value.get_value()))
t_label = TexMobject("t = ")
group = VGroup(t_tex,t_label).shift(3*DOWN)
t_label.next_to(t_tex,LEFT, buff=0.2,aligned_edge=t_label.get_bottom())
asint_text = TextMobject(r'$x = a\sin{t}$').scale(0.7).shift(4*RIGHT + 3*UP)
xlabel1 = TextMobject(r'$x$').shift(3.3*RIGHT + 3.7*UP).scale(0.7)
tlabel1 = TextMobject(r'$t$').shift(4.8*RIGHT + 2*UP).scale(0.7)
up_text = VGroup(*[asint_text, xlabel1, tlabel1])
asint = ParametricFunction(
lambda t: np.array([
t,
2*np.sin(t),
0
]), t_min = -np.pi, t_max = np.pi, color = GREEN_E
).shift(3*RIGHT + 2*UP).scale(0.4)
acost_text = TextMobject(r'$y = a\cos{t}$').scale(0.7).shift(4*RIGHT + DOWN)
ylabel1 = TextMobject(r'$y$').shift(3.3*RIGHT+0.3*DOWN).scale(0.7)
tlabel2 = TextMobject(r'$t$').shift(4.8*RIGHT + 2*DOWN).scale(0.7)
down_text = VGroup(*[acost_text, ylabel1, tlabel2])
acost = ParametricFunction(
lambda t: np.array([
t,
2*np.cos(t),
0
]), t_min = -np.pi, t_max = np.pi, color = BLUE
).shift(3*RIGHT + 2*DOWN).scale(0.4)
up_dot = Dot(color = RED)
down_dot = Dot(color = RED)
circle_dot = Dot(color = RED)
ylabel2 = TextMobject(r'$y$').scale(0.7).shift(3*UP + 3*LEFT)
xlabel2 = TextMobject(r'$x$').scale(0.7)
ellipse_text = TextMobject(r'$x = a\sin{t}$ \\ $y = a\cos{t}$').scale(0.7).shift(2*UP + 1.3*LEFT)
main_text = VGroup(*[xlabel2, ylabel2, ellipse_text])
circle = ParametricFunction(
lambda t: np.array([
np.cos(t),
np.sin(t),
0
]), t_min = -np.pi, t_max = np.pi, color = WHITE
).shift(3*LEFT)
self.play(FadeIn(axes), FadeIn(asint), FadeIn(acost), FadeIn(circle), FadeIn(up_text), FadeIn(down_text), FadeIn(main_text), FadeIn(group))
self.wait(1)
self.play(MoveAlongPath(up_dot, asint, run_time = 7), MoveAlongPath(down_dot, acost, run_time = 7), MoveAlongPath(circle_dot, circle, run_time = 7), t_value.set_value,3.14, rate_func=linear, run_time=7)
self.wait(1)
self.play(FadeOut(VGroup(*[axes, asint, acost, circle, up_text, down_text, main_text, up_dot, down_dot, circle_dot, group])))
self.wait(1)
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