Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
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An improved sigmoidal interpolation function
ResourceFunction["SmootherStep"][x] returns a sigmoidal, Hermite interpolation between [0,1] for x on [0,1]. | |
ResourceFunction["SmootherStep"][x,{min,max}] returns a sigmoidal, Hermite interpolation between [0,1] for x on [min,max]. |
The function is sigmoidal, and inputs less than 0.5 underestimate the input:
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Values greater than 0.5 do the opposite:
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Plot the function:
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The single-argument form of SmootherStep passes through the point {0.5,0.5}:
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Specify an input domain by giving a second argument:
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Smoothly interpolate with more gradual changes at the start and stop of the interpolation domain:
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Interpolate colors:
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The resource function SmoothSkip is second-order discontinuous at x=0 and x=1, creating artifacts in some uses. SmootherStep addresses this:
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SmootherStep approximates the animation technique of "ease-in / ease-out":
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This work is licensed under a Creative Commons Attribution 4.0 International License