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If you want the name the function was called with, here's how Lua gets
it (and how you get those really nice argument error messages in C):

/* UNTESTED */

  lua_Debug ar;
  if (!lua_getstack(L, 0, &ar))  /* no stack frame? */
    ar.name = "?"; /* Some default ? */
  else
  {
    lua_getinfo(L, "n", &ar);
    if (ar.name == NULL)
      ar.name = "?"; /* <-- PUT DEFAULT HERE */
  }

I think this is slow though? So perhaps you may want to avoid it
unless it is really necessary...

Hope that helps,

-- 
-Patrick Donnelly

"One of the lessons of history is that nothing is often a good thing
to do and always a clever thing to say."

-Will Durant