Computer: "custom super-computers" – this is how Daft Punk describes it, although they have been seen performing with 4 MacBook Pros in front of them (presumably a main computer and a backup for each person). However, it wouldn't seem too farfetched for a large electronic act to invest in custom hardware and software.
Software: Ableton Live.
Controllers: 2 Behringer BCR2000 MIDI Controllers, 2 JazzMutant Lemur Touchscreen Controllers.
Other: 4 Minimoog Voyagers.