mathFunctions.html

<script>
/* Add recursive sum function to native Math class
 * Arguments:
 *	• x1, ..., xn : finite list of numbers or list of containers of numbers 
 * returns :
 *	• sum of all numbers
 */
Math.sum = function() {
	var sum = 0;
    for (var j in arguments)
    {
    	if ((typeof arguments[j] === 'object') || (typeof arguments[j] === 'Array')) 
        {
        	for (var k in arguments[j]) sum += Math.sum(arguments[j][k]);
        }
    	else sum += arguments[j];
    }
    return sum;
}

/* Add avg function to native Math class
 * Arguments: 
 *	• x1, ..., xn : finite list of numbers
 * Returns: 
 *	• average of all numbers, or 0 if no numbers specified
 */
Math.avg = function() { 
	return arguments.length ? Math.sum(arguments) / countNumbers(arguments) : 0;
}

/* returns amount of numbers in object(s)
 * Arguments:
 *	• x1, ..., xn : finite list of numbers (or objects containing numbers)
 * Returns:
 *	• amount of numbers in arguments
 */
function countNumbers() { 
	var count = 0; 
    for (var j in arguments)
    {
    	if ((typeof arguments[j] === 'object') || (typeof arguments[j] === 'Array'))
        {
        	for (var k in arguments[j]) count += countNumbers(arguments[j][k]);
        }
        else count += 1;
    }
    return count; 
}
</script>