phaser/src/math/CatmullRom.js
2020-02-04 14:51:43 +00:00

31 lines
904 B
JavaScript

/**
* @author Richard Davey <rich@photonstorm.com>
* @copyright 2020 Photon Storm Ltd.
* @license {@link https://opensource.org/licenses/MIT|MIT License}
*/
/**
* Calculates a Catmull-Rom value from the given points, based on an alpha of 0.5.
*
* @function Phaser.Math.CatmullRom
* @since 3.0.0
*
* @param {number} t - The amount to interpolate by.
* @param {number} p0 - The first control point.
* @param {number} p1 - The second control point.
* @param {number} p2 - The third control point.
* @param {number} p3 - The fourth control point.
*
* @return {number} The Catmull-Rom value.
*/
var CatmullRom = function (t, p0, p1, p2, p3)
{
var v0 = (p2 - p0) * 0.5;
var v1 = (p3 - p1) * 0.5;
var t2 = t * t;
var t3 = t * t2;
return (2 * p1 - 2 * p2 + v0 + v1) * t3 + (-3 * p1 + 3 * p2 - 2 * v0 - v1) * t2 + v0 * t + p1;
};
module.exports = CatmullRom;