glicko (empty) → 0.1.0.0

raw patch · 8 files changed

+1036/−0 lines, 8 filesdep +QuickCheckdep +basedep +containerssetup-changed

Dependencies added: QuickCheck, base, containers, data-default, deepseq, glicko, hspec, lens, parallel, statistics

Files

• LICENSE +674/−0
• Setup.hs +2/−0
• glicko.cabal +53/−0
• src/Ranking/Glicko.hs +8/−0
• src/Ranking/Glicko/Core.hs +166/−0
• src/Ranking/Glicko/Inference.hs +49/−0
• src/Ranking/Glicko/Types.hs +61/−0
• test/Spec.hs +23/−0

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Of course, your program's commands+might be different; for a GUI interface, you would use an "about box".++  You should also get your employer (if you work as a programmer) or school,+if any, to sign a "copyright disclaimer" for the program, if necessary.+For more information on this, and how to apply and follow the GNU GPL, see+<http://www.gnu.org/licenses/>.++  The GNU General Public License does not permit incorporating your program+into proprietary programs.  If your program is a subroutine library, you+may consider it more useful to permit linking proprietary applications with+the library.  If this is what you want to do, use the GNU Lesser General+Public License instead of this License.  But first, please read+<http://www.gnu.org/philosophy/why-not-lgpl.html>.

@@ -0,0 +1,2 @@+import Distribution.Simple+main = defaultMain

@@ -0,0 +1,53 @@+-- Initial haskell-glicko.cabal generated by cabal init.  For further +-- documentation, see http://haskell.org/cabal/users-guide/++name:                glicko+version:             0.1.0.0+synopsis:            Haskell implementation of Glicko-2+description:+    Implementation of the rating algorithm Glicko-2 by Professor Mark E. Glickman+    <http://glicko.net/glicko/glicko2.pdf>+    .+    For more info, see <https://github.com/Prillan/haskell-glicko>+license:             GPL-3+license-file:        LICENSE+author:              Rasmus Précenth+maintainer:          prillan91@gmail.com+-- copyright:+category:            Math+build-type:          Simple+-- extra-source-files:+cabal-version:       >=1.10+source-repository head+  type:     git+  location: git@github.com:Prillan/haskell-glicko.git++library+  exposed-modules:     Ranking.Glicko+                       Ranking.Glicko.Core+                       Ranking.Glicko.Inference+                       Ranking.Glicko.Types+  -- other-modules:+  -- other-extensions:+  build-depends:       base         >= 4.8   && < 5+                     , containers   >= 0.5   && < 0.6+                     , data-default >= 0.5   && < 0.6+                     , deepseq      >= 1.4   && < 1.5+                     , lens         >= 4.12  && < 5+                     , parallel     >= 3.2   && < 3.3+                     , statistics   >= 0.13  && < 0.14+  hs-source-dirs:      src+  default-language:    Haskell2010++test-suite glicko-test+  type:                exitcode-stdio-1.0+  hs-source-dirs:      test+  main-is:             Spec.hs+  build-depends:       base+                     , data-default >= 0.5 && < 0.6+                     , glicko+                     , hspec >= 2.1 && < 2.3+                     , lens >= 4.12 && < 5+                     , QuickCheck >= 2.8 && < 2.9+  ghc-options:         -threaded -rtsopts -with-rtsopts=-N -O+  default-language:    Haskell2010

@@ -0,0 +1,8 @@+module Ranking.Glicko+  ( module Ranking.Glicko.Core+  , module Ranking.Glicko.Inference+  , module Ranking.Glicko.Types ) where++import Ranking.Glicko.Core+import Ranking.Glicko.Inference+import Ranking.Glicko.Types

@@ -0,0 +1,166 @@+module Ranking.Glicko.Core+       ( compute+       , computeP+       , newToOld+       , oldToNew+       , glicko2Multiplier) where++import Prelude hiding ((^))+import qualified Prelude as P++import Data.Maybe+import Control.Lens+import Control.Parallel.Strategies+import Data.Map (Map)+import qualified Data.Map.Strict as Map+import Data.Set (Set)+import qualified Data.Set as Set++import Ranking.Glicko.Types++(^) :: Double -> Integer -> Double+(^) = (P.^)++-- Run map in parallel+pMap :: NFData b => Integer -> (a -> b) -> [a] -> [b]+pMap chunkSize f = withStrategy (parListChunk 100 rdeepseq) . map f++computeP :: Integer -> [Player] -> [Match] -> GlickoSettings -> [Player]+computeP chunkSize = compute' (pMap chunkSize)++compute :: [Player] -> [Match] -> GlickoSettings -> [Player]+compute = compute' map++-- Update all player ratings+compute' :: (((PlayerId, Player) -> Player) -> [(PlayerId, Player)] -> [Player])+         -> [Player]+         -> [Match]+         -> GlickoSettings+         -> [Player]+compute' map' ps ms settings = map' (newToOld . updater . snd) . Map.toList $ pmap'+  where pmap = Map.fromList $ map (\p -> (_pid p, p)) ps+        pmap' = preprocess pmap ms settings+        matches = preprocessMatches pmap' ms+        updater p = updatePlayer p matches settings++-- Compute new rating for player+updatePlayer :: Player -> [RatedMatch] -> GlickoSettings -> Player+updatePlayer p ms GlickoSettings{ tau = tau, scoreFunction = scoreFun }+  | null matches = (dev        .~ sqrt (pφ^2 + pσ^2))+                 . (inactivity +~ 1)+                 . (age        +~ 1) $ p+  | otherwise    = (dev        .~ φ')+                 . (rating     .~ µ')+                 . (vol        .~ σ')+                 . (inactivity .~ 0)+                 . (age        +~ 1) $ p+  where -- Initial values for player+        pµ = _rating p+        pφ = _dev p+        pσ = _vol p+        -- Values for opponent in match `m`+        µ (_, opp, _, _) = _rating opp+        φ (_, opp, _, _) = _dev opp+        -- Score value for match+        s :: RatedMatch -> Double+        s (_,_,sa,sb) = compareScores scoreFun sa sb+        -- Convenience function for E(µ, µj, φj)+        e m = _E pµ (µ m) (φ m)+        -- Step 3: v+        v = 1 / summer (\m -> _g (φ m)^2 * e m * (1 - e m))+        -- Step 4: ∆+        delta = v * step4sum+        -- Step 5: σ'+        σ' = calcSigma delta pφ pσ v tau+        -- Step 6: φ∗+        φstar = sqrt (pφ^2 + σ'^2)+        -- Step 7: φ' and µ'+        φ' = 1 / sqrt (1 / φstar^2 + 1 / v)+        µ' = pµ + φ'^2 * step4sum++        -- Helper used in both ∆ and µ'+        step4sum = summer (\m -> _g (φ m) * (s m - e m))+        -- Helper to abstract `Sum from j=1 to m`+        summer :: (RatedMatch -> Double) -> Double+        summer f = sum . map f $ matches++        -- All matches `p` played in, arranged so that `p` is the first player+        matches :: [RatedMatch]+        matches = map swap . filter (\(pla, plb, _, _) -> pla == p || plb == p) $ ms++        swap :: RatedMatch -> RatedMatch+        swap m@(pla, plb, sca, scb)+         | pla == p  = m+         | otherwise = (plb, pla, scb, sca)++type RatedMatch = (Player, Player, Score, Score)++-- g and E from step 3-4+_g :: Double -> Double+_g φ = 1 / sqrt (1 + 3*φ^2/(pi^2))++_E :: Double -> Double -> Double -> Double+_E µ µj φj = 1 / (1 + exp (- _g φj * (µ - µj)))++-- Computes σ' in step 5+calcSigma :: Double -> Double -> Double -> Double -> Double -> Double+calcSigma delta φ σ v tau = step a b (f a) (f b)+  where step a' b' fa fb+          | abs (b' - a') <= ε = exp (a'/2)+          | fc*fb         < 0  = step b' c fb     fc+          | otherwise          = step a' c (fa/2) fc+          where c = a' + (a' - b') * fa/(fb - fa)+                fc = f c+        a = log $ σ ^ 2+        b = if delta^2 > φ^2 + v then log (delta^2 - φ^2 - v) else fixB 1+        fixB k = if f (a - k*tau) < 0 then fixB (k+1) else a - k*tau+        f x = (exp x * (delta^2 - φ^2 - v - exp x)) / (2 * (φ^2 + v + exp x)^2) - (x - a) / tau^2++-- Tolerance used in calcSigma+ε :: Double+ε = 0.000001++-- Add new default players where missing+preprocess :: Map PlayerId Player -> [Match] -> GlickoSettings -> Map PlayerId Player+preprocess ps ms settings =+  Map.map oldToNew+  . Map.union ps+  . Map.fromList+  . map (\i -> (i, defaultPlayer {_pid=i}))+  . Set.toList $ diff+  where playersInMatches = Set.fromList $ (\m -> [_pla m, _plb m]) =<< ms+        players = Map.keysSet ps+        diff = Set.difference playersInMatches players+        defaultPlayer = Player { _pid = -1+                               , _rating = initialRating settings+                               , _dev = initialDeviation settings+                               , _vol = initialVolatility settings+                               , _inactivity = 0+                               , _age = 0}+++-- Pull the players into the matches+preprocessMatches :: Map PlayerId Player -> [Match] -> [RatedMatch]+preprocessMatches ps = mapMaybe (+    \m -> (,,,)+      <$> Map.lookup (_pla m) ps+      <*> Map.lookup (_plb m) ps+      <*> pure (_sca m)+      <*> pure (_scb m)+  )++-- Convert ratings from Glicko to Glicko-2+oldToNew :: Player -> Player+oldToNew p@Player{ _rating = r, _dev = d} = p { _rating = (r - 1500) / glicko2Multiplier+                                              , _dev    = d / glicko2Multiplier }++-- Convert ratings from Glicko-2 to Glicko+newToOld :: Player -> Player+newToOld p@Player{ _rating = r, _dev = d} = p { _rating = r*glicko2Multiplier + 1500+                                              , _dev    = d*glicko2Multiplier}++glicko2Multiplier :: Double+glicko2Multiplier = 173.7178++playersToMap :: [Player] -> Map PlayerId Player+playersToMap = Map.fromList . map (\p -> (_pid p, p))

@@ -0,0 +1,49 @@+module Ranking.Glicko.Inference ( predict+                                , boX+                                , fromBoX+                                , predictBoX+                                , BoX) where++import Ranking.Glicko.Core+import Ranking.Glicko.Types++import Data.Coerce (coerce)+import Statistics.Distribution+import Statistics.Distribution.Normal++predict :: Player -> Player -> Double+predict pla plb = cumulative dist (ra - rb)+  where Player { _rating = ra, _dev = da } = oldToNew pla+        Player { _rating = rb, _dev = db } = oldToNew plb+        dist = normalDistr 0 (1 + da + db)+-- TODO: Check the above ^++newtype BoX = BoX Integer+  deriving Show++boX :: Integer -> Maybe BoX+boX n = if odd n && 0 < n && n <= 11+           then Just $ BoX n+           else Nothing++fromBoX :: BoX -> Integer+fromBoX = coerce+{-# INLINE fromBoX #-}++predictBoX :: BoX -> Player -> Player -> Double+predictBoX n p1 p2 =+  sum $ map (\i -> fromInteger ((z + i) `choose` i) * p^w * q^i) [0..z]+  where p  = predict p1 p2+        q  = 1 - p+        w  = (n' + 1) `div` 2+        z  = w - 1+        n' = fromBoX n++choose :: Integer -> Integer -> Integer+n `choose` k+  | k > n     = 0+  | k' == 0   = 1+  | otherwise = p1 `div` p2+  where k' = min k (n - k)+        p1 = product . map (\i -> n - i) $ [0..k' - 1]+        p2 = product [1..k']

@@ -0,0 +1,61 @@+{-# LANGUAGE TemplateHaskell #-}+module Ranking.Glicko.Types+       ( Player(..)+       , pid, rating, dev, vol, inactivity, age+       , Match(..)+       , pla, plb, sca, scb+       , PlayerId+       , Score+       , ScoreFunction(..)+       , GlickoSettings(..))+       where++import           Control.DeepSeq+import           Control.Lens+import           Data.Default++type PlayerId = Int+data Player = Player { _pid        :: PlayerId+                     , _rating     :: Double+                     , _dev        :: Double+                     , _vol        :: Double+                     , _inactivity :: Int+                     , _age        :: Int}+  deriving (Show, Eq)+makeLenses ''Player++instance NFData Player where+  rnf (Player x1 x2 x3 x4 x5 x6) = rnf (x1, x2, x3, x4, x5, x6)++type Score = Int+data Match = Match { _pla :: PlayerId+                   , _plb :: PlayerId+                   , _sca :: Score+                   , _scb :: Score}+  deriving (Show, Eq)+makeLenses ''Match++newtype ScoreFunction = ScoreFunction { compareScores :: Score -> Score -> Double }+instance Default ScoreFunction where+  def = ScoreFunction $ \s1 s2 -> case s1 `compare` s2 of+    LT -> 0+    EQ -> 0.5+    GT -> 1+instance Show ScoreFunction where+  show _ = "{score function}"++data GlickoSettings = GlickoSettings+  { initialRating     :: Double+  , initialDeviation  :: Double+  , initialVolatility :: Double+  , tau               :: Double+  , scoreFunction     :: ScoreFunction}+  deriving Show++instance Default GlickoSettings where+  def = GlickoSettings+      { initialRating     = 1500+      , initialDeviation  = 350+      , initialVolatility = 0.06+      , tau = 0.5+      , scoreFunction = def}

@@ -0,0 +1,23 @@+import Data.Default+import Test.Hspec+++import Paper+import Ranking.Glicko++epsilon = 0.0000001++doubleEqual :: Double -> Double -> Bool+doubleEqual x y = abs (x - y) <= epsilon++main :: IO ()+main = hspec $ do+  describe "Ranking.Glicko.Core" $ do+    it "Glicko2 paper test case (http://glicko.net/glicko/glicko2.pdf)" $ do+      let p:_ = compute players matches def+          d   = _dev p+          r   = _rating p+          v   = _vol p+      r `shouldSatisfy` (`doubleEqual` 1464.0506705393013)+      d `shouldSatisfy` (`doubleEqual` 151.51652412385727)+      v `shouldSatisfy` (`doubleEqual` 5.9995984286488495e-2)