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054_poker_hands.hs
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-- In the card game poker, a hand consists of five cards and are ranked, from lowest to highest,
-- in the following way:
-- High Card : Highest value card.
-- One Pairs : Two cards of the same value.
-- Two Pairs : Two different pairs.
-- Three of a Kind: Three cards of the same value.
-- Straight : All cards are consecutive values.
-- Flush : All cards of the same suit.
-- Full House : Three of a kind and a pair.
-- Four of a Kind : Four cards of the same value.
-- Straight Flush : All cards are consecutive values of same suit.
-- Royal Flush : Ten, Jack, Queen, King, Ace, in same suit.
-- The cards are valued in the order:
-- 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, Ace.
-- If two players have the same ranked hands then the rank made up of the highest value wins;
-- for example, a pair of eights beats a pair of fives (see example 1 below). But if two ranks tie,
-- for example, both players have a pair of queens, then highest cards in each hand are compared
-- (see example 4 below); if the highest cards tie then the next highest cards are compared,
-- and so on.
-- Consider the following five hands dealt to two players:
-- Hand Player 1 Player 2 Winner
-- 1 5H 5C 6S 7S KD 2C 3S 8S 8D TD Player 2
-- Pair of Fives Pair of Eights
-- 2 5D 8C 9S JS AC 2C 5C 7D 8S QH Player 1
-- Highest card Ace Highest card Queen
-- 3 2D 9C AS AH AC 3D 6D 7D TD QD Player 2
-- Three Aces Flush with Diamonds
-- 4 4D 6S 9H QH QC 3D 6D 7H QD QS Player 1
-- Pair of Queens Pair of Queens
-- Highest card Nine Highest card Seven
-- 5 2H 2D 4C 4D 4S 3C 3D 3S 9S 9D Player 1
-- Full House Full House
-- With Three Fours With Three Threes
-- The file, poker.txt, contains one-thousand random hands dealt to two players. Each line of the
-- file contains ten cards (separated by a single space): the first five are Player 1's cards and
-- the last five are Player 2's cards. You can assume that all hands are valid (no invalid
-- characters or repeated cards), each player's hand is in no specific order, and in each hand
-- there is a clear winner.
-- How many hands does Player 1 win?
import Data.Function
import Data.List
import Control.Arrow
data Combination = HighCard
| Pair
| TwoPair
| Triple
| Straight
| Flush
| FullHouse
| Four
| StraightFlush
| RoyalFlush
deriving (Eq, Ord, Read, Show, Enum)
data Card = Card {value :: Int, color :: Char}
deriving (Show, Read)
instance Eq Card where
(Card v1 c1) == (Card v2 c2) = v1 == v2 && c1 == c2
instance Ord Card where
(Card v1 c1) `compare` (Card v2 c2) = if v1 == v2
then compare c1 c2
else compare v1 v2
type Hand = [Card]
readCard :: String -> Card
readCard [v,c] = Card {value = val v,color = c}
val :: Char -> Int
val v
| v >= '2' && v <= '9' = read [v] :: Int
| v == 'T' = 10
| v == 'J' = 11
| v == 'Q' = 12
| v == 'K' = 13
| v == 'A' = 14
| otherwise = error " val: Undefined card value"
readDuel :: String -> (Hand, Hand)
readDuel duel = (readHand p1, readHand p2)
where
cards = words duel
p1 = take 5 cards
p2 = drop 5 cards
readHand :: [String] -> Hand
readHand strCards = sort (map readCard strCards)
hasRoyalFlush :: Hand -> Bool
hasRoyalFlush hand = 60 == sum (map value hand) && hasFlush hand
hasStraightFlush :: Hand -> Int
hasStraightFlush hand = if hasFlush hand && straight > 0 then straight else -1
where straight = hasStraight hand
hasFour :: Hand -> Int
hasFour hand = if 4 == fst (countedValues !! 1)
then snd (countedValues !! 1)
else -1
where values = map value hand
countedValues = sortBy (compare `on` fst) (map (length &&& head) . group $ values)
hasFullHouse :: Hand -> Bool
hasFullHouse hand = triple > 0 && pair > 0
where pair = hasTwo hand
triple = hasThree hand
hasFlush :: Hand -> Bool
hasFlush hand = all (== head colors) (tail colors)
where colors = map color hand
hasStraight :: Hand -> Int
hasStraight hand = if map (\x -> x - firstVal) values == [0..4]
then firstVal
else -1
where values = map value hand
firstVal = head values
hasThree :: Hand -> Int
hasThree hand = if 3 == fst (head countedValues)
then snd $ head countedValues
else -1
where values = map value hand
countedValues = sortBy (flip compare `on` fst) (map (length &&& head) . group $ values)
-- returns the value of the higher pair
hasTwoPairs :: Hand -> Int
hasTwoPairs hand = if 2 == fst (countedValues !! 1) && 2 == fst (countedValues !! 2)
then max (snd (countedValues !! 1)) (snd (countedValues !! 2))
else -1
where values = map value hand
countedValues = sortBy (compare `on` fst) (map (length &&& head) . group $ values)
-- return the value of the lowest pair
hasTwo :: Hand -> Int
hasTwo hand = if not (null pairs)
then snd $ head pairs
else -1
where values = map value hand
countedValues = sortBy (compare `on` fst) (map (length &&& head) . group $ values)
pairs = filter (\(c, v) -> c == 2) countedValues
-- no royal / straight flushs, foursomes in the data set
compareHands :: (Hand, Hand) -> (Ordering, Combination)
compareHands (h1,h2) = if fullHouse1 /= fullHouse2
then (compare fullHouse1 fullHouse2, FullHouse)
else if flush1 /= flush2
then (compare flush1 flush2, Flush)
else if straight1 /= straight2
then (compare straight1 straight2, Straight)
else if triple1 /= triple2
then (compare triple1 triple2, Triple)
else if doublePair1 /= doublePair2
then (compare doublePair1 doublePair2, TwoPair)
else if pair1 /= pair2
then (compare pair1 pair2, Pair)
else (compare values1 values2, HighCard)
where fullHouse1 = hasFullHouse h1
fullHouse2 = hasFullHouse h2
flush1 = hasFlush h1
flush2 = hasFlush h2
straight1 = hasStraight h1
straight2 = hasStraight h2
triple1 = hasThree h1
triple2 = hasThree h2
doublePair1= hasTwoPairs h1
doublePair2= hasTwoPairs h2
pair1 = hasTwo h1
pair2 = hasTwo h2
values1 = sortBy (flip compare) (map value h1)
values2 = sortBy (flip compare) (map value h2)
main :: IO()
main = print $ length $ filter (\(o,c) -> o==GT) (map (compareHands . readDuel) duels)
-- input data:
duels = ["8C TS KC 9H 4S 7D 2S 5D 3S AC","5C AD 5D AC 9C 7C 5H 8D TD KS","3H 7H 6S KC JS QH TD JC 2D 8S","TH 8H 5C QS TC 9H 4D JC KS JS","7C 5H KC QH JD AS KH 4C AD 4S","5H KS 9C 7D 9H 8D 3S 5D 5C AH","6H 4H 5C 3H 2H 3S QH 5S 6S AS","TD 8C 4H 7C TC KC 4C 3H 7S KS","7C 9C 6D KD 3H 4C QS QC AC KH","JC 6S 5H 2H 2D KD 9D 7C AS JS","AD QH TH 9D 8H TS 6D 3S AS AC","2H 4S 5C 5S TC KC JD 6C TS 3C","QD AS 6H JS 2C 3D 9H KC 4H 8S","KD 8S 9S 7C 2S 3S 6D 6S 4H KC","3C 8C 2D 7D 4D 9S 4S QH 4H JD","8C KC 7S TC 2D TS 8H QD AC 5C","3D KH QD 6C 6S AD AS 8H 2H QS","6S 8D 4C 8S 6C QH TC 6D 7D 9D","2S 8D 8C 4C TS 9S 9D 9C AC 3D","3C QS 2S 4H JH 3D 2D TD 8S 9H","5H QS 8S 6D 3C 8C JD AS 7H 7D","6H TD 9D AS JH 6C QC 9S KD JC","AH 8S QS 4D TH AC TS 3C 3D 5C","5S 4D JS 3D 8H 6C TS 3S AD 8C","6D 7C 5D 5H 3S 5C JC 2H 5S 3D","5H 6H 2S KS 3D 5D JD 7H JS 8H","KH 4H AS JS QS QC TC 6D 7C KS","3D QS TS 2H JS 4D AS 9S JC KD","QD 5H 4D 5D KH 7H 3D JS KD 4H","2C 9H 6H 5C 9D 6C JC 2D TH 9S","7D 6D AS QD JH 4D JS 7C QS 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6S AD 3C","2C KC TH 6H 8D AH 5C 6D 8S 5D","TD TS 7C AD JC QD 9H 3C KC 7H","5D 4D 5S 8H 4H 7D 3H JD KD 2D","JH TD 6H QS 4S KD 5C 8S 7D 8H","AC 3D AS 8C TD 7H KH 5D 6C JD","9D KS 7C 6D QH TC JD KD AS KC","JH 8S 5S 7S 7D AS 2D 3D AD 2H","2H 5D AS 3C QD KC 6H 9H 9S 2C","9D 5D TH 4C JH 3H 8D TC 8H 9H","6H KD 2C TD 2H 6C 9D 2D JS 8C","KD 7S 3C 7C AS QH TS AD 8C 2S","QS 8H 6C JS 4C 9S QC AD TD TS","2H 7C TS TC 8C 3C 9H 2D 6D JC","TC 2H 8D JH KS 6D 3H TD TH 8H","9D TD 9H QC 5D 6C 8H 8C KC TS","2H 8C 3D AH 4D TH TC 7D 8H KC","TS 5C 2D 8C 6S KH AH 5H 6H KC","5S 5D AH TC 4C JD 8D 6H 8C 6C","KC QD 3D 8H 2D JC 9H 4H AD 2S","TD 6S 7D JS KD 4H QS 2S 3S 8C","4C 9H JH TS 3S 4H QC 5S 9S 9C","2C KD 9H JS 9S 3H JC TS 5D AC","AS 2H 5D AD 5H JC 7S TD JS 4C","2D 4S 8H 3D 7D 2C AD KD 9C TS","7H QD JH 5H JS AC 3D TH 4C 8H","6D KH KC QD 5C AD 7C 2D 4H AC","3D 9D TC 8S QD 2C JC 4H JD AH","6C TD 5S TC 8S AH 2C 5D AS AC","TH 7S 3D AS 6C 4C 7H 7D 4H AH","5C 2H KS 6H 7S 4H 5H 3D 3C 7H","3C 9S AC 7S QH 2H 3D 6S 3S 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