3b1b-manim/manimlib/mobject/functions.py
Grant Sanderson 602809758e
Video work (#1739)
* Enable setting points to a null list, and adding one point at a time.

* Add refresh_locked_data

* Add presenter mode to scenes with -p option

* Allow for an embed by hitting e during interaction

* Add set_min_height, etc.

* Make sure null parametric curve has at least one point

* Account for edge case where \{ is used in Tex

* Allow for logging notes in wait calls, useful for presenter mode

* Simplify choose, and add gen_choose for fractional amounts

* Default to no top on axes

* Allow match_x, match_y, etc. to take in a point

* Allow wait calls to ignore presenter mode

* Just use math.combo, no caching with choose(n, r)

* Use generator instead of list in bezier

* Bubble init_colors should override

* Account for "px" values read in from an svg

* Stop displaying when writing is happening

* Update the way Bubble override SVG colors
2022-02-13 15:16:16 -08:00

111 lines
3.5 KiB
Python

from isosurfaces import plot_isoline
from manimlib.constants import *
from manimlib.mobject.types.vectorized_mobject import VMobject
from manimlib.utils.config_ops import digest_config
class ParametricCurve(VMobject):
CONFIG = {
"t_range": [0, 1, 0.1],
"epsilon": 1e-8,
# TODO, automatically figure out discontinuities
"discontinuities": [],
"use_smoothing": True,
}
def __init__(self, t_func, t_range=None, **kwargs):
digest_config(self, kwargs)
if t_range is not None:
self.t_range[:len(t_range)] = t_range
# To be backward compatible with all the scenes specifying t_min, t_max, step_size
self.t_range = [
kwargs.get("t_min", self.t_range[0]),
kwargs.get("t_max", self.t_range[1]),
kwargs.get("step_size", self.t_range[2]),
]
self.t_func = t_func
VMobject.__init__(self, **kwargs)
def get_point_from_function(self, t):
return self.t_func(t)
def init_points(self):
t_min, t_max, step = self.t_range
jumps = np.array(self.discontinuities)
jumps = jumps[(jumps > t_min) & (jumps < t_max)]
boundary_times = [t_min, t_max, *(jumps - self.epsilon), *(jumps + self.epsilon)]
boundary_times.sort()
for t1, t2 in zip(boundary_times[0::2], boundary_times[1::2]):
t_range = [*np.arange(t1, t2, step), t2]
points = np.array([self.t_func(t) for t in t_range])
self.start_new_path(points[0])
self.add_points_as_corners(points[1:])
if self.use_smoothing:
self.make_approximately_smooth()
if not self.has_points():
self.set_points([self.t_func(t_min)])
return self
class FunctionGraph(ParametricCurve):
CONFIG = {
"color": YELLOW,
"x_range": [-8, 8, 0.25],
}
def __init__(self, function, x_range=None, **kwargs):
digest_config(self, kwargs)
self.function = function
if x_range is not None:
self.x_range[:len(x_range)] = x_range
def parametric_function(t):
return [t, function(t), 0]
super().__init__(parametric_function, self.x_range, **kwargs)
def get_function(self):
return self.function
def get_point_from_function(self, x):
return self.t_func(x)
class ImplicitFunction(VMobject):
CONFIG = {
"x_range": [-FRAME_X_RADIUS, FRAME_X_RADIUS],
"y_range": [-FRAME_Y_RADIUS, FRAME_Y_RADIUS],
"min_depth": 5,
"max_quads": 1500,
"use_smoothing": True
}
def __init__(self, func, x_range=None, y_range=None, **kwargs):
digest_config(self, kwargs)
self.function = func
super().__init__(**kwargs)
def init_points(self):
p_min, p_max = (
np.array([self.x_range[0], self.y_range[0]]),
np.array([self.x_range[1], self.y_range[1]]),
)
curves = plot_isoline(
fn=lambda u: self.function(u[0], u[1]),
pmin=p_min,
pmax=p_max,
min_depth=self.min_depth,
max_quads=self.max_quads,
) # returns a list of lists of 2D points
curves = [
np.pad(curve, [(0, 0), (0, 1)]) for curve in curves if curve != []
] # add z coord as 0
for curve in curves:
self.start_new_path(curve[0])
self.add_points_as_corners(curve[1:])
if self.use_smoothing:
self.make_smooth()
return self