4 ms·

What do you mean, 'they get hairy really fast' ?

• choeger 6y ago
  For starters, what happens to your numerical algorithm when it contains less-than comparisons? Intervals don't form an order.
  • Smaug123 6y ago
    It's not a total (heh) disaster, since many intervals are comparable with many other intervals. Floating point implicitly "solves" this problem by truncating the implicit interval onto a member of a fixed discrete set. It does so quite cleverly, but ultimately it still silently loses information; sometimes (admittedly rarely) you might want the correct result "I was unable to compute an answer due to lack of input precision" that happens when you try and work out whether [0,2] is less than [1,3].
  • dnautics 6y ago
    Forget ordering. The useful equals relation becomes ternary.