ParametricFunction

Qualified name: algan.mobs.manim\_compat.ParametricFunction

class ParametricFunction(function, t_range=(0, 1), scaling=<algan.external_libraries.manim.mobject.graphing.scale.LinearBase object>, dt=1e-08, discontinuities=None, use_smoothing=True, use_vectorized=False, **kwargs)

Bases: ManimCompatMob

A parametric curve.

Parameters:

• function (Callable[[float], Point3DLike]) – The function to be plotted in the form of (lambda t: (x(t), y(t), z(t)))

• t_range (tuple[float, float] | tuple[float, float, float]) – Determines the length that the function spans in the form of (t_min, t_max, step=0.01). By default [0, 1]

• scaling (_ScaleBase) – Scaling class applied to the points of the function. Default of LinearBase.

• use_smoothing (bool) – Whether to interpolate between the points of the function after they have been created. (Will have odd behaviour with a low number of points)

• use_vectorized (bool) – Whether to pass in the generated t value array to the function as [t_0, t_1, ...]. Only use this if your function supports it. Output should be a numpy array of shape [[x_0, x_1, ...], [y_0, y_1, ...], [z_0, z_1, ...]] but z can also be 0 if the Axes is 2D

• discontinuities (Iterable[float] | None) – Values of t at which the function experiences discontinuity.

• dt (float) – The left and right tolerance for the discontinuities.

• kwargs (Any)

Methods

Attributes

animation_manager	This mob's scene-owned animation manager.
basis	The Mob's orientation and scale, as a flattened 3x3 matrix of shape (*, 9).
casts_shadows	Whether this Mob's geometry blocks light on its way from a light source to another surface -- whether it casts a shadow.
children	The Mobs attached below this one, in attachment order.
closed_shell	Whether this Mob's triangles form a CLOSED shell -- every camera ray that enters the geometry crosses a second time on its way out.
draws_descendants	Whether get_render_primitives returns geometry belonging to this Mob's DESCENDANTS as well as its own.
forward	Get the direction the Mob is facing.
lifespan	This mob's [spawn, despawn) interval on its Scene timeline (a Lifespan).
location	The Mob's position in world space, shape (*, 3).
normalized_basis	The Mob's orientation with scale divided out, shape (*, 9).
parents	The Mobs this one is attached to, in attachment order.
receives_shadows	Whether this Mob's surfaces are darkened by shadows cast onto them.
right	Get the Mob's own rightward direction.
scale_coefficient	The Mob's scale along its own right, up and forward axes, shape (*, 3).
stroke_color	The color of the circuit's border stroke.
two_sided	Whether this Mob's geometry should be lit from whichever side the ray arrives on.
up	Get the Mob's own upward direction.
x	The Mob's x coordinate in world units, shape (*, 1).
xy	The Mob's x and y coordinates in world units, shape (*, 2).
y	The Mob's y coordinate in world units, shape (*, 1).
z	The Mob's z coordinate in world units, shape (*, 1).
z_index	Which of two exactly coplanar circuits draws in front (higher wins).