Here is a method adapted from Jquery 2.1.1 that take a dom element instead of a jquery object (so jquery is not needed). Includes type checks and regex expressions:
function addClass(element, value) {
// Regex terms
var rclass = /[\t\r\n\f]/g,
rnotwhite = (/\S+/g);
var classes,
cur,
curClass,
finalValue,
proceed = typeof value === "string" && value;
if (!proceed) return element;
classes = (value || "").match(rnotwhite) || [];
cur = element.nodeType === 1
&& (element.className
? (" " + element.className + " ").replace(rclass, " ")
: " "
);
if (!cur) return element;
var j = 0;
while ((curClass = classes[j++])) {
if (cur.indexOf(" " + curClass + " ") < 0) {
cur += curClass + " ";
}
}
// only assign if different to avoid unneeded rendering.
finalValue = cur.trim();
if (element.className !== finalValue) {
element.className = finalValue;
}
return element;
};