Smoothstep

Uncommon card · No. 199727

Smoothstep is a family of sigmoid-like easing functions commonly used for interpolation and clamping in computer graphics, video game engines, and machine learning. The function depends on three parameters, the input x, the "left edge" and the "right edge", with the left edge being assumed smaller than the right edge. The function receives a real number x as an argument. It returns 0 if x is less than or equal to the left edge and 1 if x is greater than or equal to the right edge. Otherwise, it smoothly interpolates, using Hermite interpolation, and returns a value between 0 and 1. The slope of the smoothstep function is zero at both edges. This is convenient for creating a sequence of transitions using smoothstep to interpolate each segment as an alternative to using more sophisticated or expensive interpolation techniques. In HLSL and GLSL, smoothstep implements the S 1 ⁡ ( x...

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