How do I enumerate all of the html id’s in a document with javascript?

On modern browsers you can do this via

document.querySelectorAll('*[id]')

should do the job.

If you need all descendants of myElement with IDs, then do

myElement.querySelectorAll('*[id]')

If you want to be really careful to exclude <span id="">, then maybe

document.querySelectorAll('*[id]:not([id=""])')

If compatibility with older browsers is required

var allElements = document.getElementsByTagName("*");
var allIds = [];
for (var i = 0, n = allElements.length; i < n; ++i) {
  var el = allElements[i];
  if (el.id) { allIds.push(el.id); }
}

should leave you with all the IDs in allIds.

If you find you need to just enumerate the IDs under a particular form node, then you can replace document.getElementsByTagName with myFormNode.getElementsByTagName.

If you want to include both IDs and NAMEs, then put

else if (el.name) { allIds.push(el.name); }

below the if above.