/**
 * Hunter-lab space.
 *
 * @module  color-space/labh
 */
'use strict'

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

module.exports = {
	name: 'labh',

	//mins/maxes are taken from colormine
	//FIXME: check whether mins/maxes correct
	min: [0,-128,-128],
	max: [100,128,128],
	channel: ['lightness', 'a', 'b'],
	alias: ['LABh', 'hunter-lab', 'hlab'],

	//maths are taken from EasyRGB
	xyz: function(lab) {
		var l = lab[0], a = lab[1], b = lab[2];

		var _y = l / 10;
		var _x = a / 17.5 * l / 10;
		var _z = b / 7 * l / 10;

		var y = _y * _y;
		var x = ( _x + y ) / 1.02;
		var z = -( _z - y ) / 0.847;

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

//extend xyz
xyz.labh = function(xyz){
	var x = xyz[0], y = xyz[1], z = xyz[2];
	var l = 10 * Math.sqrt( y );
	var a = y === 0 ? 0 : 17.5 * ((( 1.02 * x ) - y ) / Math.sqrt( y ) );
	var b = y === 0 ? 0 : 7 * ( ( y - ( 0.847 * z ) ) / Math.sqrt( y ) );

	return [l, a, b];
};