/**
 * CIE LAB space model
 *
 * @module color-space/lab
 */
'use strict'

var xyz = require('./xyz');

module.exports = {
	name: 'lab',
	min: [0,-100,-100],
	max: [100,100,100],
	channel: ['lightness', 'a', 'b'],
	alias: ['LAB', 'cielab'],

	xyz: function(lab) {
		var l = lab[0],
				a = lab[1],
				b = lab[2],
				x, y, z, y2;

		if (l <= 8) {
			y = (l * 100) / 903.3;
			y2 = (7.787 * (y / 100)) + (16 / 116);
		} else {
			y = 100 * Math.pow((l + 16) / 116, 3);
			y2 = Math.pow(y / 100, 1/3);
		}

		x = x / 95.047 <= 0.008856 ? x = (95.047 * ((a / 500) + y2 - (16 / 116))) / 7.787 : 95.047 * Math.pow((a / 500) + y2, 3);

		z = z / 108.883 <= 0.008859 ? z = (108.883 * (y2 - (b / 200) - (16 / 116))) / 7.787 : 108.883 * Math.pow(y2 - (b / 200), 3);

		return [x, y, z];
	}
};


//extend xyz
xyz.lab = function(xyz){
	var x = xyz[0],
			y = xyz[1],
			z = xyz[2],
			l, a, b;

	x /= 95.047;
	y /= 100;
	z /= 108.883;

	x = x > 0.008856 ? Math.pow(x, 1/3) : (7.787 * x) + (16 / 116);
	y = y > 0.008856 ? Math.pow(y, 1/3) : (7.787 * y) + (16 / 116);
	z = z > 0.008856 ? Math.pow(z, 1/3) : (7.787 * z) + (16 / 116);

	l = (116 * y) - 16;
	a = 500 * (x - y);
	b = 200 * (y - z);

	return [l, a, b];
};