rate_functions

A selection of rate functions, i.e., speed curves for animations. Please find a standard list at https://easings.net/. Here is a picture for the non-standard ones

Example: RateFuncExample

../_images/RateFuncExample-1.png
from manim import *

class RateFuncExample(Scene):
    def construct(self):
        x = VGroup()
        for k, v in rate_functions.__dict__.items():
            if "function" in str(v):
                if (
                    not k.startswith("__")
                    and not k.startswith("sqrt")
                    and not k.startswith("bezier")
                ):
                    try:
                        rate_func = v
                        plot = (
                            ParametricFunction(
                                lambda x: [x, rate_func(x), 0],
                                t_range=[0, 1, .01],
                                use_smoothing=False,
                                color=YELLOW,
                            )
                            .stretch_to_fit_width(1.5)
                            .stretch_to_fit_height(1)
                        )
                        plot_bg = SurroundingRectangle(plot).set_color(WHITE)
                        plot_title = (
                            Text(rate_func.__name__, weight=BOLD)
                            .scale(0.5)
                            .next_to(plot_bg, UP, buff=0.1)
                        )
                        x.add(VGroup(plot_bg, plot, plot_title))
                    except: # because functions `not_quite_there`, `function squish_rate_func` are not working.
                        pass
        x.arrange_in_grid(cols=8)
        x.height = config.frame_height
        x.width = config.frame_width
        x.move_to(ORIGIN).scale(0.95)
        self.add(x)

There are primarily 3 kinds of standard easing functions:

  1. Ease In - The animation has a smooth start.

  2. Ease Out - The animation has a smooth end.

  3. Ease In Out - The animation has a smooth start as well as smooth end.

Note

The standard functions are not exported, so to use them you do something like this: rate_func=rate_functions.ease_in_sine On the other hand, the non-standard functions, which are used more commonly, are exported and can be used directly.

Example: RateFunctions1Example

from manim import *

class RateFunctions1Example(Scene):
    def construct(self):
        line1 = Line(3*LEFT, 3*RIGHT).shift(UP).set_color(RED)
        line2 = Line(3*LEFT, 3*RIGHT).set_color(GREEN)
        line3 = Line(3*LEFT, 3*RIGHT).shift(DOWN).set_color(BLUE)

        dot1 = Dot().move_to(line1.get_left())
        dot2 = Dot().move_to(line2.get_left())
        dot3 = Dot().move_to(line3.get_left())

        label1 = Tex("Ease In").next_to(line1, RIGHT)
        label2 = Tex("Ease out").next_to(line2, RIGHT)
        label3 = Tex("Ease In Out").next_to(line3, RIGHT)

        self.play(
            FadeIn(VGroup(line1, line2, line3)),
            FadeIn(VGroup(dot1, dot2, dot3)),
            Write(VGroup(label1, label2, label3)),
        )
        self.play(
            MoveAlongPath(dot1, line1, rate_func=rate_functions.ease_in_sine),
            MoveAlongPath(dot2, line2, rate_func=rate_functions.ease_out_sine),
            MoveAlongPath(dot3, line3, rate_func=rate_functions.ease_in_out_sine),
            run_time=7
        )
        self.wait()

Functions

double_smooth(t)[source]
Parameters

t (float) –

Return type

float

ease_in_back(t)[source]
Parameters

t (float) –

Return type

float

ease_in_bounce(t)[source]
Parameters

t (float) –

Return type

float

ease_in_circ(t)[source]
Parameters

t (float) –

Return type

float

ease_in_cubic(t)[source]
Parameters

t (float) –

Return type

float

ease_in_elastic(t)[source]
Parameters

t (float) –

Return type

float

ease_in_expo(t)[source]
Parameters

t (float) –

Return type

float

ease_in_out_back(t)[source]
Parameters

t (float) –

Return type

float

ease_in_out_bounce(t)[source]
Parameters

t (float) –

Return type

float

ease_in_out_circ(t)[source]
Parameters

t (float) –

Return type

float

ease_in_out_cubic(t)[source]
Parameters

t (float) –

Return type

float

ease_in_out_elastic(t)[source]
Parameters

t (float) –

Return type

float

ease_in_out_expo(t)[source]
Parameters

t (float) –

Return type

float

ease_in_out_quad(t)[source]
Parameters

t (float) –

Return type

float

ease_in_out_quart(t)[source]
Parameters

t (float) –

Return type

float

ease_in_out_quint(t)[source]
Parameters

t (float) –

Return type

float

ease_in_out_sine(t)[source]
Parameters

t (float) –

Return type

float

ease_in_quad(t)[source]
Parameters

t (float) –

Return type

float

ease_in_quart(t)[source]
Parameters

t (float) –

Return type

float

ease_in_quint(t)[source]
Parameters

t (float) –

Return type

float

ease_in_sine(t)[source]
Parameters

t (float) –

Return type

float

ease_out_back(t)[source]
Parameters

t (float) –

Return type

float

ease_out_bounce(t)[source]
Parameters

t (float) –

Return type

float

ease_out_circ(t)[source]
Parameters

t (float) –

Return type

float

ease_out_cubic(t)[source]
Parameters

t (float) –

Return type

float

ease_out_elastic(t)[source]
Parameters

t (float) –

Return type

float

ease_out_expo(t)[source]
Parameters

t (float) –

Return type

float

ease_out_quad(t)[source]
Parameters

t (float) –

Return type

float

ease_out_quart(t)[source]
Parameters

t (float) –

Return type

float

ease_out_quint(t)[source]
Parameters

t (float) –

Return type

float

ease_out_sine(t)[source]
Parameters

t (float) –

Return type

float

exponential_decay(t, half_life=0.1)[source]
Parameters
  • t (float) –

  • half_life (float) –

Return type

float

linear(t)[source]
Parameters

t (float) –

Return type

float

lingering(t)[source]
Parameters

t (float) –

Return type

float

not_quite_there(func=<function smooth>, proportion=0.7)[source]
Parameters
  • func (Callable[[float], float]) –

  • proportion (float) –

Return type

Callable[[float], float]

running_start(t, pull_factor=- 0.5)[source]
Parameters
  • t (float) –

  • pull_factor (float) –

Return type

Iterable

rush_from(t, inflection=10.0)[source]
Parameters
  • t (float) –

  • inflection (float) –

Return type

float

rush_into(t, inflection=10.0)[source]
Parameters
  • t (float) –

  • inflection (float) –

Return type

float

slow_into(t)[source]
Parameters

t (float) –

Return type

float

smooth(t, inflection=10.0)[source]
Parameters
  • t (float) –

  • inflection (float) –

Return type

float

squish_rate_func(func, a=0.4, b=0.6)[source]
Parameters
  • func (Callable[[float], float]) –

  • a (float) –

  • b (float) –

Return type

Callable[[float], float]

there_and_back(t, inflection=10.0)[source]
Parameters
  • t (float) –

  • inflection (float) –

Return type

float

there_and_back_with_pause(t, pause_ratio=0.3333333333333333)[source]
Parameters
  • t (float) –

  • pause_ratio (float) –

Return type

float

unit_interval(function)[source]
wiggle(t, wiggles=2)[source]
Parameters
  • t (float) –

  • wiggles (float) –

Return type

float

zero(function)[source]