summaryrefslogtreecommitdiff
path: root/src/Election.hs
blob: 350d6523c7f52055920c56b0ef3c9b9e6b7af89a (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
module Election(
    Election,

    createElection,
    doCount
    ) where




import qualified System.IO as IO
import qualified Control.Monad as Con
import qualified Control.Monad.Trans.Either as ET
import qualified Control.Monad.IO.Class as MIO
import qualified Data.Map.Strict as Map
import qualified Data.List as List
import qualified Data.Maybe as Maybe
import qualified Data.Either.Unwrap as Either
import qualified Counter as Sen
import qualified Candidate as Typ
import qualified CSV as CSV




data Election = Election
    { getEntries       :: [Entry]
    , getCounter       :: Sen.SenateCounter
    , getLogDir        :: FilePath
    , getTotalPapers   :: Int
    , getQuota         :: Int
    , getMainLog       :: String
    , getNextLogNum    :: Int
    , getSeats         :: Int
    , getVacancies     :: Int
    , getTransferQueue :: [Transfer]
    , getNextToElect   :: Int
    , isDone           :: Bool
    , isVerbose        :: Bool }

data Entry = Entry
    { getID           :: Typ.CandidateID
    , getVoteChange   :: Int
    , getTotalVotes   :: Int
    , getCritTrace    :: [Trace]
    , getStatus       :: Status
    , getChanged      :: Bool
    , getOrderElected :: Maybe Int }
    deriving (Eq)

data Trace = Trace
    { getCriteria    :: Sen.Criteria
    , getTransferVal :: Float }
    deriving (Eq)

data Status = Running | Elected | Eliminated
    deriving (Show, Eq)

data Transfer = Transfer
    { getWhoFrom    :: Typ.CandidateID
    , getVoteAmount :: Int
    , getWhatToDist :: [Trace] }

--  the ints here are the raw count values of the ballots
--  that satisfy the criteria in each trace
type TransferMap = Map.Map Typ.CandidateID [(Int,Trace)]




createElection :: FilePath -> Sen.SenateCounter -> Int -> Bool -> IO Election
createElection outDir counter numToElect verbosity = do
    entries <- mapM (candToEntry counter) (Sen.getBallot counter)
    let mainLog = outDir ++ "/" ++ "log.txt"
        total = Sen.getTotal counter
        quota = droopQuota total numToElect
    return (Election
        { getEntries       = entries
        , getCounter       = counter
        , getLogDir        = outDir
        , getTotalPapers   = total
        , getQuota         = quota
        , getMainLog       = mainLog
        , getNextLogNum    = 1
        , getSeats         = numToElect
        , getVacancies     = numToElect
        , getTransferQueue = []
        , getNextToElect   = 1
        , isDone           = False
        , isVerbose        = verbosity })




droopQuota :: Int -> Int -> Int
droopQuota votes seats =
    1 + floor ((fromIntegral votes) / (fromIntegral (seats + 1)))




candToEntry :: Sen.SenateCounter -> Typ.CandidateID -> IO Entry
candToEntry counter candidate = do
    let criteria = [(1,candidate)]
        trace = Trace criteria 1
    firstPrefs <- Sen.doCount counter criteria
    return (Entry
        { getID           = candidate
        , getVoteChange   = firstPrefs
        , getTotalVotes   = firstPrefs
        , getCritTrace    = [trace]
        , getStatus       = Running
        , getChanged      = False
        , getOrderElected = Nothing })




doCount :: Election -> IO ()
doCount e =
    Con.when (not (isDone e)) $ do
        writeLog e
        let e1 = e { getNextLogNum = 1 + getNextLogNum e }

        --  these following calculations probably aren't the
        --  intended use of Either monads, but the pattern fits
        --  and it's certainly a lot better than a bunch of
        --  if-then-else constructs in haskell
        r <- ET.eitherT return return $
            clearChanges e1 >>=
            electCandidates >>=
            checkIfDone >>=
            transferVotes >>=
            checkNoQuota >>=
            excludeSomeone

        doCount r




writeLog :: Election -> IO ()
writeLog e = do
    let logName = (getLogDir e) ++ "/" ++ (show (getNextLogNum e)) ++ ".csv"

        header =
            [ "Seats"
            , "Vacancies"
            , "Total Papers"
            , "Quota"
            , "Candidate"
            , "Votes"
            , "Transfer"
            , "Status"
            , "Changed"
            , "Order Elected" ]
        static =
            [ show (getSeats e)
            , show (getVacancies e)
            , show (getTotalPapers e)
            , show (getQuota e)]
        dynFunc c =
            [ getID c
            , show (getTotalVotes c)
            , show (getVoteChange c)
            , show (getStatus c)
            , if (getChanged c) then show (getChanged c) else ""
            , if (Maybe.isJust (getOrderElected c)) then show (Maybe.fromJust (getOrderElected c)) else "" ]

        records = map (\x -> static ++ dynFunc x) (getEntries e)
        headerLine = CSV.unParseRecord CSV.defaultSettings header
        recordLines = map (CSV.unParseRecord CSV.defaultSettings) records
        output = unlines (headerLine:recordLines)
    IO.writeFile logName output




clearChanges :: Election -> ET.EitherT Election IO Election
clearChanges e = do
    let clear entry = entry
            { getChanged = False
            , getVoteChange = 0 }
    ET.right (e { getEntries = map clear (getEntries e) })




electCandidates :: Election -> ET.EitherT Election IO Election
electCandidates e = do
    let oldToElectNum = getNextToElect e
        electLoop x = ET.eitherT return electLoop $ doElectCandidate x
    r <- MIO.liftIO $ electLoop e
    if (getNextToElect r > oldToElectNum)
        then ET.left r
        else ET.right r




--  needs to be modified to take into account ties
doElectCandidate :: Election -> ET.EitherT Election IO Election
doElectCandidate e = do
    let (running, notRunning) = List.partition ((== Running) . getStatus) (getEntries e)
        electedEntry = List.maximumBy compareVotes running
        (beforeEntries, afterEntries) = partBeforeAfter electedEntry (getEntries e)

        newTransferValue = (fromIntegral (getTotalVotes electedEntry - getQuota e)) /
                                (fromIntegral (getTotalVotes electedEntry))
        transferFunction x = x { getTransferVal = newTransferValue * getTransferVal x }
        newTransfer = Transfer
            { getWhoFrom = getID electedEntry
            , getVoteAmount = getTotalVotes electedEntry - getQuota e
            , getWhatToDist = map transferFunction (getCritTrace electedEntry) }

        revisedElectedEntry = electedEntry
            { getStatus = Elected
            , getChanged = True
            , getOrderElected = Just (getNextToElect e) }
        allRevised = beforeEntries ++ [revisedElectedEntry] ++ afterEntries

    if (getTotalVotes electedEntry >= getQuota e)
        then do
            let logmsg = show (getID electedEntry) ++ " elected at logfile #" ++ show (getNextLogNum e)
            MIO.liftIO $ IO.appendFile (getMainLog e) (logmsg ++ "\n")
            MIO.liftIO $ Con.when (isVerbose e) (putStrLn logmsg)
            ET.right (e
                { getEntries = allRevised
                , getTransferQueue = (getTransferQueue e) ++ [newTransfer]
                , getNextToElect = 1 + getNextToElect e
                , getVacancies = getVacancies e - 1 })
        else ET.left e




checkIfDone :: Election -> ET.EitherT Election IO Election
checkIfDone e =
    let stillRunning = filter ((== Running) . getStatus) (getEntries e)
    in if (getVacancies e == 0 || length stillRunning == 0)
        then ET.left (e { isDone = True })
        else ET.right e




--  redistributing votes in STV is surprisingly complex
transferVotes :: Election -> ET.EitherT Election IO Election
transferVotes e =
    if (length (getTransferQueue e) > 0)
        then doVoteTransfer e
        else ET.right e




doVoteTransfer :: Election -> ET.EitherT Election IO Election
doVoteTransfer e = do
    let (currentTransfer:remainingTransfers) = getTransferQueue e
        fromEntry = Maybe.fromJust (List.find ((== getWhoFrom currentTransfer) . getID) (getEntries e))
        (beforeEntries, afterEntries) = partBeforeAfter fromEntry (getEntries e)

        mapKeys = map getID (beforeEntries ++ afterEntries)
        notRunningKeys = map getID (filter ((/= Running) . getStatus) (getEntries e))
    transferMap <- MIO.liftIO $ Con.foldM (addToTransferMap (getCounter e) mapKeys) Map.empty (getWhatToDist currentTransfer)
    revisedMap <- MIO.liftIO $ redistNotRunning (getCounter e) mapKeys notRunningKeys transferMap

    let reviseFunc entry =
            if (getStatus entry == Running)
                then transferToEntry revisedMap entry
                else entry

        revisedFromEntry = fromEntry
            { getVoteChange = -(getVoteAmount currentTransfer)
            , getTotalVotes = getTotalVotes fromEntry - (getVoteAmount currentTransfer)
            --  this last bit needs to be replaced with something more accurate
            , getCritTrace = [] }
        allRevised = (map reviseFunc beforeEntries) ++ [revisedFromEntry] ++ (map reviseFunc afterEntries)

    ET.left (e
        { getEntries = allRevised
        , getTransferQueue = remainingTransfers })




addToTransferMap :: Sen.SenateCounter -> [Typ.CandidateID] -> TransferMap -> Trace -> IO TransferMap
addToTransferMap counter mapKeys transferMap traceToAdd = do
    let newTraces = map (addToTrace traceToAdd) mapKeys
        keyed = zip mapKeys newTraces
        noDupes = filter (not . criteriaHasDupe . getCriteria . snd) keyed
    counted <- mapM (\(k,t) -> Sen.doCount counter (getCriteria t) >>= (\x -> return (k,(x,t)))) noDupes
    let notZero (k,xt) = floor ((fromIntegral (fst xt)) * getTransferVal (snd xt)) > 0
        noZeroMap = filter notZero counted
        listed = map (\(k,xt) -> (k,xt:[])) noZeroMap
    return (Map.unionWith (++) transferMap (Map.fromList listed))




redistNotRunning :: Sen.SenateCounter -> [Typ.CandidateID] -> [Typ.CandidateID] -> TransferMap -> IO TransferMap
redistNotRunning counter mapKeys notRunningKeys transferMap =
    let lookupNotRunning k m =
            if (length k == 0)
                then Nothing
                else let x = Map.lookup (head k) m
                     in if (Maybe.isJust x)
                         then Just (head k, Maybe.fromJust x)
                         else lookupNotRunning (tail k) m
        item = lookupNotRunning notRunningKeys transferMap
    in if (Maybe.isJust item)
        then do
            let (key,valList) = Maybe.fromJust item
                removedMap = Map.delete key transferMap
            revisedMap <- Con.foldM (addToTransferMap counter mapKeys) removedMap (map snd valList)
            redistNotRunning counter mapKeys notRunningKeys revisedMap
        else return transferMap




transferToEntry :: TransferMap -> Entry -> Entry
transferToEntry transferMap entry =
    let lookupVal = Map.lookup (getID entry) transferMap
        valList = Maybe.fromJust lookupVal

        voteChanges = map (\(x,y) -> floor ((fromIntegral x) * getTransferVal y)) valList
        addedTraces = map snd valList
        revisedEntry = entry
            { getVoteChange = sum voteChanges
            , getTotalVotes = getTotalVotes entry + sum voteChanges
            , getCritTrace = getCritTrace entry ++ addedTraces }

    in if (Maybe.isJust lookupVal)
        then revisedEntry
        else entry




criteriaHasDupe :: Sen.Criteria -> Bool
criteriaHasDupe crit =
    let test seen toCheck =
            if (length toCheck == 0)
                then False
                else if (elem (snd (head toCheck)) seen)
                        then True
                        else test ((snd (head toCheck)):seen) (tail toCheck)
    in test [] crit




addToCriteria :: Typ.CandidateID -> Sen.Criteria -> Sen.Criteria
addToCriteria candID crit =
    let maxRank = fst (List.maximumBy (\x y -> compare (fst x) (fst y)) crit)
    in (maxRank + 1, candID):crit




addToTrace :: Trace -> Typ.CandidateID -> Trace
addToTrace trace candID = trace
    { getCriteria = addToCriteria candID (getCriteria trace) }




--  needs to be modified to take into account ties
checkNoQuota :: Election -> ET.EitherT Election IO Election
checkNoQuota e = do
    let (running, notRunning) = List.partition ((== Running) . getStatus) (getEntries e)
        minimumEntry = List.minimumBy compareVotes running
        (beforeEntries, afterEntries) = partBeforeAfter minimumEntry (getEntries e)

        makeElect x = x
            { getStatus = Elected
            , getChanged = True }
        reviseFunc entry =
            if ((getStatus entry == Running) && (entry /= minimumEntry))
                then makeElect entry
                else entry

        revisedMinEntry =
            if (length running <= getVacancies e)
                then makeElect minimumEntry
                else minimumEntry
        allRevised = (map reviseFunc beforeEntries) ++ [revisedMinEntry] ++ (map reviseFunc afterEntries)

    if (length running <= getVacancies e + 1)
        then ET.left (e
            { getEntries = allRevised
            , getVacancies = 0 })
        else ET.right e




--  needs to be modified to take into account ties
excludeSomeone :: Election -> ET.EitherT Election IO Election
excludeSomeone e = do
    let (running, notRunning) = List.partition ((== Running) . getStatus) (getEntries e)
        excludedEntry = List.minimumBy compareVotes running
        (beforeEntries, afterEntries) = partBeforeAfter excludedEntry (getEntries e)

        newTransfer = Transfer
            { getWhoFrom = getID excludedEntry
            , getVoteAmount = getTotalVotes excludedEntry
            , getWhatToDist = getCritTrace excludedEntry }

        revisedExcludedEntry = excludedEntry
            { getStatus = Eliminated
            , getChanged = True }
        allRevised = beforeEntries ++ [revisedExcludedEntry] ++ afterEntries

    if (getTotalVotes excludedEntry < getQuota e)
        then ET.left (e
            { getEntries = allRevised
            , getTransferQueue = (getTransferQueue e) ++ [newTransfer] })
        else ET.right e




partBeforeAfter :: (Eq a) => a -> [a] -> ([a],[a])
partBeforeAfter item list =
    let (x,y) = List.break (== item) list
    in if (length y <= 1)
        then (x,[])
        else (x,tail y)




compareVotes :: Entry -> Entry -> Ordering
compareVotes x y = compare (getTotalVotes x) (getTotalVotes y)