smoothstep

This function makes a smooth transition from 0 to 1 beginning at threshold a and ending at threshold b. In order to do this, smoothstep contains a cubic function whose slope is 0 at a and b and whose value is 0 at a and 1 at b. There is only one cubic function that has these properties for a = 0 and b = 1, namely the function \(3x^2 - 2x^3\). This function can be used to provide smooth transitions between values or to "ease" animation in and out.

smoothstep(a,b,x)

Returns 0 when (x < a), 1 when (x >= b), a smooth transition from 0 to 1 otherwise, or (-1) on error (a == b).

COPY/// smoothstep(a,b,x)
//
//  Returns 0 when (x < a), 1 when (x >= b), a smooth transition
//  from 0 to 1 otherwise, or (-1) on error (a == b).
//
//      a           upper bound, real
//      b           lower bound, real
//      x           value, real
//
/// gmlscripts.pro/license
{
    var p;
    if (argument2 < argument0) return 0;
    if (argument2 >= argument1) return 1;
    if (argument0 == argument1) return -1;
    p = (argument2 - argument0) / (argument1 - argument0);
    return (p * p * (3 - 2 * p));
}

Contributors: xot

Related: bias, boxstep, gain, gammacorrect, pulse, smoothstep, spline, spline4, step

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