**"MathEasingFunctions"**

A collection of Easing functions.

Easing functions are commonly used for smoothing actions over time, They are used to smooth out the sharp edges

of a function and make it more pleasing to the eye, like for example the motion of a object through time.

Easing functions can be used in a variety of applications, including animation, video games, and scientific

simulations. They are a powerful tool for creating realistic visual effects and can help to make your work more

engaging and enjoyable to the eye.

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Includes functions for ease in, ease out, and, ease in and out, for the following constructs:

sine, quadratic, cubic, quartic, quintic, exponential, elastic, circle, back, bounce.

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Reference:

easings.net/

learn.microsoft.com/...dia/easing-functions

**ease_in_sine_unbound(v)**

Sinusoidal function, the position over elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_sine(v)**

Sinusoidal function, the position over elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_sine_unbound(v)**

Sinusoidal function, the position over elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_sine(v)**

Sinusoidal function, the position over elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_sine_unbound(v)**

Sinusoidal function, the position over elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_sine(v)**

Sinusoidal function, the position over elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_quad_unbound(v)**

Quadratic function, the position equals the square of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_quad(v)**

Quadratic function, the position equals the square of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_quad_unbound(v)**

Quadratic function, the position equals the square of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_quad(v)**

Quadratic function, the position equals the square of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_quad_unbound(v)**

Quadratic function, the position equals the square of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_quad(v)**

Quadratic function, the position equals the square of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_cubic_unbound(v)**

Cubic function, the position equals the cube of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_cubic(v)**

Cubic function, the position equals the cube of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_cubic_unbound(v)**

Cubic function, the position equals the cube of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_cubic(v)**

Cubic function, the position equals the cube of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_cubic_unbound(v)**

Cubic function, the position equals the cube of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_cubic(v)**

Cubic function, the position equals the cube of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_quart_unbound(v)**

Quartic function, the position equals the formula `f(t)=t^4` of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_quart(v)**

Quartic function, the position equals the formula `f(t)=t^4` of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_quart_unbound(v)**

Quartic function, the position equals the formula `f(t)=t^4` of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_quart(v)**

Quartic function, the position equals the formula `f(t)=t^4` of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_quart_unbound(v)**

Quartic function, the position equals the formula `f(t)=t^4` of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_quart(v)**

Quartic function, the position equals the formula `f(t)=t^4` of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_quint_unbound(v)**

Quintic function, the position equals the formula `f(t)=t^5` of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_quint(v)**

Quintic function, the position equals the formula `f(t)=t^5` of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_quint_unbound(v)**

Quintic function, the position equals the formula `f(t)=t^5` of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_quint(v)**

Quintic function, the position equals the formula `f(t)=t^5` of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_quint_unbound(v)**

Quintic function, the position equals the formula `f(t)=t^5` of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_quint(v)**

Quintic function, the position equals the formula `f(t)=t^5` of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_expo_unbound(v)**

Exponential function, the position equals the exponential formula of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_expo(v)**

Exponential function, the position equals the exponential formula of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_expo_unbound(v)**

Exponential function, the position equals the exponential formula of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_expo(v)**

Exponential function, the position equals the exponential formula of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_expo_unbound(v)**

Exponential function, the position equals the exponential formula of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_expo(v)**

Exponential function, the position equals the exponential formula of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_circ_unbound(v)**

Circular function, the position equals the circular formula of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_circ(v)**

Circular function, the position equals the circular formula of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_circ_unbound(v)**

Circular function, the position equals the circular formula of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_circ(v)**

Circular function, the position equals the circular formula of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_circ_unbound(v)**

Circular function, the position equals the circular formula of elapsed time (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_circ(v)**

Circular function, the position equals the circular formula of elapsed time (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_back_unbound(v)**

Back function, the position retreats a bit before resuming (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_back(v)**

Back function, the position retreats a bit before resuming (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_back_unbound(v)**

Back function, the position retreats a bit before resuming (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_back(v)**

Back function, the position retreats a bit before resuming (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_back_unbound(v)**

Back function, the position retreats a bit before resuming (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_back(v)**

Back function, the position retreats a bit before resuming (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_elastic_unbound(v)**

Elastic function, the position oscilates back and forth like a spring (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_elastic(v)**

Elastic function, the position oscilates back and forth like a spring (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_elastic_unbound(v)**

Elastic function, the position oscilates back and forth like a spring (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_elastic(v)**

Elastic function, the position oscilates back and forth like a spring (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_elastic_unbound(v)**

Elastic function, the position oscilates back and forth like a spring (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_elastic(v)**

Elastic function, the position oscilates back and forth like a spring (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_bounce_unbound(v)**

Bounce function, the position bonces from the boundery (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_bounce(v)**

Bounce function, the position bonces from the boundery (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_bounce_unbound(v)**

Bounce function, the position bonces from the boundery (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_out_bounce(v)**

Bounce function, the position bonces from the boundery (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_bounce_unbound(v)**

Bounce function, the position bonces from the boundery (unbound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**ease_in_out_bounce(v)**

Bounce function, the position bonces from the boundery (bound).

Parameters:

**v (float)**: `float` Elapsed time.

Returns: Ratio of change.

**select(v, formula, effect, bounded)**

Parameters:

**v (float)**

**formula (string)**

**effect (string)**

**bounded (bool)**