Is there a way to wrap all JavaScript methods with a function?

I want to wrap every function call with some logging code. Something that would produce output like:

func1(param1, param2)
func2(param1)
func3()
func4(param1, param2)

Ideally, I would like an API of the form:

function globalBefore(func);
function globalAfter(func);

I've googled quite a bit for this, but it seems like there's only aspect-oriented solutions that require you to wrap the specific functions you want to log, or whatever. I want something that applies to every function in the global scope (except itself, obviously).