suit := algebraicDataMatcher
  | spade
  | heart
  | club
  | diamond

card := algebraicDataMatcher
  | card suit (mod 13)

poker cs :=
  match cs as multiset card with
  | [card $s $n, card #s #(n-1), card #s #(n-2), card #s #(n-3), card #s #(n-4)]
    -> "Straight flush"
  | [card _ $n, card _ #n, card _ #n, card _ #n, _]
    -> "Four of a kind"
  | [card _ $m, card _ #m, card _ #m, card _ $n, card _ #n]
    -> "Full house"
  | [card $s _, card #s _, card #s _, card #s _, card #s _]
    -> "Flush"
  | [card _ $n, card _ #(n-1), card _ #(n-2), card _ #(n-3), card _ #(n-4)]
    -> "Straight"
  | [card _ $n, card _ #n, card _ #n, _, _]
    -> "Three of a kind"
  | [card _ $m, card _ #m, card _ $n, card _ #n, _]
    -> "Two pair"
  | [card _ $n, card _ #n, _, _, _]
    -> "One pair"
  | [_, _, _, _, _] -> "Nothing"

assertEqual "poker hand 1"
  (poker [Card Spade 5, Card Spade 6, Card Spade 7, Card Spade 8, Card Spade 9])
  "Straight flush"

assertEqual "poker hand 2"
  (poker [Card Spade 5, Card Diamond 5, Card Spade 7, Card Club 5, Card Heart 5])
  "Four of a kind"

assertEqual "poker hand 3"
  (poker [Card Spade 5, Card Diamond 5, Card Spade 7, Card Club 5, Card Heart 7])
  "Full house"

assertEqual "poker hand 4"
  (poker [Card Spade 5, Card Spade 6, Card Spade 7, Card Spade 13, Card Spade 9])
  "Flush"

assertEqual "poker hand 5"
  (poker [Card Spade 5, Card Club 6, Card Spade 7, Card Spade 8, Card Spade 9])
  "Straight"

assertEqual "poker hand 6"
  (poker [Card Spade 5, Card Diamond 5, Card Spade 7, Card Club 5, Card Heart 8])
  "Three of a kind"

assertEqual "poker hand 7"
  (poker [Card Spade 5, Card Diamond 10, Card Spade 7, Card Club 5, Card Heart 10])
  "Two pair"

assertEqual "poker hand 8"
  (poker [Card Spade 5, Card Diamond 10, Card Spade 7, Card Club 5, Card Heart 8])
  "One pair"

assertEqual "poker hand 9"
  (poker [Card Spade 5, Card Spade 6, Card Spade 7, Card Spade 8, Card Diamond 11])
  "Nothing"