“Death of a Princess,” a “Rashomon”-like 1980 docudrama about the 1977 public execution of a Saudi princess and her lover for adultery, explores what “Frontline” executive producer David Fanning (a writer on “Princess”) calls “the private center of the Arab world.” The film incorporates interview transcripts (actors play the interviewees) with re-creations of the executions and events leading up to them. Also: a review of the controversy generated by the original film.