MathEasingFunctionsLibrary "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
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)
Smooth
EchoMorphicAverageLibrary "EchoMorphicAverage"
Original Self Referencing Moving Average which references
it's own output agsainst itself and the incoming source to dynamically
alter smoothness and length internally per calculation cycle.
@kaigouthro
Inputs are float length series.
Contact Me for More Dynamic Float Length Indicators.
wema(src, mod, len)
Waited Echo-Morphic Average
Parameters:
src : (float) input value
mod : (float) modifier(0-1) mix of current value
len : (float) length
Returns: output processed smoothed value
wemaStack(src, mod, len)
Stacked Multipass Waited Echo-Morphic Average
Parameters:
src : (float) input value
mod : (float) modifier(0-1) mix of current value
len : (float) length
Returns: output processed smoothed value
AnalysisInterpolationLoessLibrary "AnalysisInterpolationLoess"
LOESS, local weighted Smoothing function.
loess(sample_x, sample_y, point_span) LOESS, local weighted Smoothing function.
Parameters:
sample_x : int array, x values.
sample_y : float array, y values.
point_span : int, local point interval span.
aloess(sample_x, sample_y, point_span) aLOESS, adaptive local weighted Smoothing function.
Parameters:
sample_x : int array, x values.
sample_y : float array, y values.
point_span : int, local point interval span.
