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 3x² - 2x³.
This function can be used to provide smooth transitions between values or to "ease" animation in and out.
smoothstep(a,b,t) Returns a smooth transition from 0 to 1 when t is between a and b.
/*
** Usage:
** smoothstep(a,b,t)
**
** Arguments:
** a upper bound, real
** b lower bound, real
** t value, real
**
** Returns:
** 0 when (t < a), 1 when (t >= b),
** a smooth transition from 0 to 1 otherwise,
** or (-1) on error (a == b)
**
** GMLscripts.com
*/
{
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));
}
** Usage:
** smoothstep(a,b,t)
**
** Arguments:
** a upper bound, real
** b lower bound, real
** t value, real
**
** Returns:
** 0 when (t < a), 1 when (t >= b),
** a smooth transition from 0 to 1 otherwise,
** or (-1) on error (a == b)
**
** GMLscripts.com
*/
{
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));
}
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Projects: 2
Related: bias, bias_fast, boxstep, clamp, gain, gain_fast, gammacorrect, lerp, pulse, smoothstep, spline, spline4, step
Contributor: xot
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