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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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12
Task/Stable-marriage-problem/Haskell/stable-marriage-problem-1.hs Normal file
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{-# LANGUAGE TemplateHaskell #-}
import Lens.Micro
import Lens.Micro.TH
import Data.List (union, delete)
type Preferences a = (a, [a])
type Couple a = (a,a)
data State a = State { _freeGuys :: [a]
, _guys :: [Preferences a]
, _girls :: [Preferences a]}
makeLenses ''State

7
Task/Stable-marriage-problem/Haskell/stable-marriage-problem-2.hs Normal file
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name n = lens get set
where get = head . dropWhile ((/= n).fst)
set assoc (_,v) = let (prev, _:post) = break ((== n).fst) assoc
in prev ++ (n, v):post
fianceesOf n = guys.name n._2
fiancesOf n = girls.name n._2

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Task/Stable-marriage-problem/Haskell/stable-marriage-problem-3.hs Normal file
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stableMatching :: Eq a => State a -> [Couple a]
stableMatching = getPairs . until (null._freeGuys) step
where
getPairs s = map (_2 %~ head) $ s^.guys
step :: Eq a => State a -> State a
step s = foldl propose s (s^.freeGuys)
where
propose s guy =
let girl = s^.fianceesOf guy & head
bestGuy : otherGuys = s^.fiancesOf girl
modify
| guy == bestGuy = freeGuys %~ delete guy
| guy `elem` otherGuys = (fiancesOf girl %~ dropWhile (/= guy)) .
(freeGuys %~ guy `replaceBy` bestGuy)
| otherwise = fianceesOf guy %~ tail
in modify s
replaceBy x y [] = []
replaceBy x y (h:t) | h == x = y:t
| otherwise = h:replaceBy x y t
unstablePairs :: Eq a => State a -> [Couple a] -> [(Couple a, Couple a)]
unstablePairs s pairs =
[ ((m1, w1), (m2,w2)) | (m1, w1) <- pairs
, (m2,w2) <- pairs
, m1 /= m2
, let fm = s^.fianceesOf m1
, elemIndex w2 fm < elemIndex w1 fm
, let fw = s^.fiancesOf w2
, elemIndex m2 fw < elemIndex m1 fw ]

23
Task/Stable-marriage-problem/Haskell/stable-marriage-problem-4.hs Normal file
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guys0 =
[("abe", ["abi", "eve", "cath", "ivy", "jan", "dee", "fay", "bea", "hope", "gay"]),
("bob", ["cath", "hope", "abi", "dee", "eve", "fay", "bea", "jan", "ivy", "gay"]),
("col", ["hope", "eve", "abi", "dee", "bea", "fay", "ivy", "gay", "cath", "jan"]),
("dan", ["ivy", "fay", "dee", "gay", "hope", "eve", "jan", "bea", "cath", "abi"]),
("ed", ["jan", "dee", "bea", "cath", "fay", "eve", "abi", "ivy", "hope", "gay"]),
("fred",["bea", "abi", "dee", "gay", "eve", "ivy", "cath", "jan", "hope", "fay"]),
("gav", ["gay", "eve", "ivy", "bea", "cath", "abi", "dee", "hope", "jan", "fay"]),
("hal", ["abi", "eve", "hope", "fay", "ivy", "cath", "jan", "bea", "gay", "dee"]),
("ian", ["hope", "cath", "dee", "gay", "bea", "abi", "fay", "ivy", "jan", "eve"]),
("jon", ["abi", "fay", "jan", "gay", "eve", "bea", "dee", "cath", "ivy", "hope"])]
girls0 =
[("abi", ["bob", "fred", "jon", "gav", "ian", "abe", "dan", "ed", "col", "hal"]),
("bea", ["bob", "abe", "col", "fred", "gav", "dan", "ian", "ed", "jon", "hal"]),
("cath", ["fred", "bob", "ed", "gav", "hal", "col", "ian", "abe", "dan", "jon"]),
("dee", ["fred", "jon", "col", "abe", "ian", "hal", "gav", "dan", "bob", "ed"]),
("eve", ["jon", "hal", "fred", "dan", "abe", "gav", "col", "ed", "ian", "bob"]),
("fay", ["bob", "abe", "ed", "ian", "jon", "dan", "fred", "gav", "col", "hal"]),
("gay", ["jon", "gav", "hal", "fred", "bob", "abe", "col", "ed", "dan", "ian"]),
("hope", ["gav", "jon", "bob", "abe", "ian", "dan", "hal", "ed", "col", "fred"]),
("ivy", ["ian", "col", "hal", "gav", "fred", "bob", "abe", "ed", "jon", "dan"]),
("jan", ["ed", "hal", "gav", "abe", "bob", "jon", "col", "ian", "fred", "dan"])]

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Task/Stable-marriage-problem/Haskell/stable-marriage-problem-5.hs Normal file
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s0 = State (fst <$> guys0) guys0 ((_2 %~ reverse) <$> girls0)