sindarin_grammar1-3  Exercise 2: adan -> edain
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Two changes happen together:
  1. The interior a becomes e (a -> e in a non-final syllable).
  2. The last syllable gets an intruded i: the a of -dan becomes ai, because
     the word ends in a single consonant.

So adan -> edain, not edan (only the first change) or adain (only the second).

  dôr   -> duir    a one-syllable word with ô: ô -> ui
  cam   -> cem     a final m resists the intrusion, so only a -> e

(The older proposal for dôr was a plural in y; the form with ui is the one
now recommended.)