src/Gargantext/Prelude.hs

   1 {-# OPTIONS_GHC -fno-warn-name-shadowing #-}
   2 {-# OPTIONS_GHC -fno-warn-type-defaults  #-}
   3 {-# LANGUAGE     NoImplicitPrelude       #-}
   4
   5 {-
   6 TODO: import head impossible from Protolude: why ?
   7 -}
   8
   9 module Gargantext.Prelude
  10   ( module Gargantext.Prelude
  11   , module Protolude
  12   , headMay
  13   , module Text.Show
  14   , module Text.Read
  15   )
  16   where
  17
  18 import Protolude ( Bool(True, False), Int, Double, Integer
  19                  , Fractional, Num, Maybe(Just,Nothing)
  20                  , Floating, Char, IO
  21                  , pure, (<$>), panic
  22                  , Ord, Integral, Foldable, RealFrac, Monad, filter
  23                  , reverse, map, zip, drop, take, zipWith
  24                  , sum, fromIntegral, length, fmap
  25                  , takeWhile, sqrt, undefined, identity
  26                  , abs, maximum, minimum, return, snd, truncate
  27                  , (+), (*), (/), (-), (.), (>=), ($), (**), (^), (<), (>), (==), (<>)
  28                  , (&&), (||), not
  29                  , toS
  30                  )
  31
  32 -- TODO import functions optimized in Utils.Count
  33 -- import Protolude hiding (head, last, all, any, sum, product, length)
  34 -- import Gargantext.Utils.Count
  35
  36 import qualified Data.List     as L hiding (head, sum)
  37 import qualified Control.Monad as M
  38 import qualified Data.Map as Map
  39 import Data.Map.Strict (insertWith)
  40 import qualified Data.Vector as V
  41 import Safe (headMay)
  42 import Text.Show (Show(), show)
  43 import Text.Read (Read())
  44 --pf :: (a -> Bool) -> [a] -> [a]
  45 --pf = filter
  46
  47 pr :: [a] -> [a]
  48 pr = reverse
  49
  50 --pm :: (a -> b) -> [a] -> [b]
  51 --pm = map
  52
  53 map2 :: (t -> b) -> [[t]] -> [[b]]
  54 map2 fun = map (map fun)
  55
  56 pz :: [a] -> [b] -> [(a, b)]
  57 pz  = zip
  58
  59 pd :: Int -> [a] -> [a]
  60 pd  = drop
  61
  62 ptk :: Int -> [a] -> [a]
  63 ptk = take
  64
  65 pzw :: (a -> b -> c) -> [a] -> [b] -> [c]
  66 pzw = zipWith
  67
  68 -- Exponential Average
  69 eavg :: [Double] -> Double
  70 eavg (x:xs) = a*x + (1-a)*(eavg xs)
  71   where a = 0.70
  72 eavg [] = 0
  73
  74 -- Simple Average
  75 mean :: Fractional a => [a] -> a
  76 mean xs = if L.null xs then 0.0
  77                        else sum xs / fromIntegral (length xs)
  78
  79 sumMaybe :: Num a => [Maybe a] -> Maybe a
  80 sumMaybe = fmap sum . M.sequence
  81
  82 variance :: Floating a => [a] -> a
  83 variance xs = mean $ map (\x -> (x - m) ** 2) xs where
  84     m = mean xs
  85
  86 deviation :: [Double] -> Double
  87 deviation = sqrt . variance
  88
  89 movingAverage :: Fractional b => Int -> [b] -> [b]
  90 movingAverage steps xs = map mean $ chunkAlong steps 1 xs
  91
  92 ma :: [Double] -> [Double]
  93 ma = movingAverage 3
  94
  95
  96 -- | Function to split a range into chunks
  97 chunkAlong :: Int -> Int -> [a] -> [[a]]
  98 chunkAlong a b l = only (while  dropAlong)
  99     where
 100         only      = map (take a)
 101         while     = takeWhile  (\x -> length x >= a)
 102         dropAlong = L.scanl (\x _y -> drop b x) l ([1..] :: [Integer])
 103
 104 -- | Optimized version (Vector)
 105 chunkAlong' :: Int -> Int -> V.Vector a -> V.Vector (V.Vector a)
 106 chunkAlong' a b l = only (while  dropAlong)
 107     where
 108         only      = V.map (V.take a)
 109         while     = V.takeWhile  (\x -> V.length x >= a)
 110         dropAlong = V.scanl (\x _y -> V.drop b x) l (V.fromList [1..])
 111
 112 -- | TODO Inverse of chunk ? unchunkAlong ?
 113 unchunkAlong :: Int -> Int -> [[a]] -> [a]
 114 unchunkAlong = undefined
 115
 116
 117 -- splitAlong [2,3,4] ("helloworld" :: [Char]) == ["he", "llo", "worl", "d"]
 118 splitAlong :: [Int] -> [Char] -> [[Char]]
 119 splitAlong _ [] = [] -- No list? done
 120 splitAlong [] xs = [xs] -- No place to split at? Return the remainder
 121 splitAlong (x:xs) ys = take x ys : splitAlong xs (drop x ys) -- take until our split spot, recurse with next split spot and list remainder
 122
 123 takeWhileM :: (Monad m) => (a -> Bool) -> [m a] -> m [a]
 124 takeWhileM _ [] = return []
 125 takeWhileM p (a:as) = do
 126     v <- a
 127     if p v
 128         then do
 129             vs <- takeWhileM p as
 130             return (v:vs)
 131         else return []
 132
 133 -- SUMS
 134 -- To select the right algorithme according to the type:
 135 -- https://github.com/mikeizbicki/ifcxt
 136
 137 sumSimple :: Num a => [a] -> a
 138 sumSimple = L.foldl' (+) 0
 139
 140 -- | https://en.wikipedia.org/wiki/Kahan_summation_algorithm
 141 sumKahan :: Num a => [a] -> a
 142 sumKahan = snd . L.foldl' go (0,0)
 143     where
 144         go (c,t) i = ((t'-t)-y,t')
 145             where
 146                 y  = i-c
 147                 t' = t+y
 148
 149 -- | compute part of the dict
 150 count2map :: (Ord k, Foldable t) => t k -> Map.Map k Double
 151 count2map xs = Map.map (/ (fromIntegral (length xs))) (count2map' xs)
 152
 153 -- | insert in a dict
 154 count2map' :: (Ord k, Foldable t) => t k -> Map.Map k Double
 155 count2map' xs = L.foldl' (\x y -> insertWith (+) y 1 x) Map.empty xs
 156
 157
 158 trunc :: (RealFrac a, Integral c, Integral b) => b -> a -> c
 159 trunc n = truncate . (* 10^n)
 160
 161 trunc' :: Int -> Double -> Double
 162 trunc' n x = fromIntegral $ truncate $ (x * 10^n)
 163
 164
 165 bool2int :: Num a => Bool -> a
 166 bool2int b = case b of
 167                   True  -> 1
 168                   False -> 0
 169
 170 bool2double :: Bool -> Double
 171 bool2double bool = case bool of
 172                   True  -> 1.0
 173                   False -> 0.0
 174
 175
 176
 177 -- Normalizing && scaling data
 178 scale :: [Double] -> [Double]
 179 scale = scaleMinMax
 180
 181 scaleMinMax :: [Double] -> [Double]
 182 scaleMinMax xs = map (\x -> (x - mi / (ma - mi + 1) )) xs'
 183     where
 184         ma  = maximum xs'
 185         mi  = minimum xs'
 186         xs' = map abs xs
 187
 188 scaleNormalize :: [Double] -> [Double]
 189 scaleNormalize xs = map (\x -> (x - v / (m + 1))) xs'
 190     where
 191         v = variance xs'
 192         m = mean     xs'
 193         xs' = map abs xs
 194
 195
 196
 197 normalize :: [Double] -> [Double]
 198 normalize as = normalizeWith identity as
 199
 200 normalizeWith :: Fractional b => (a -> b) -> [a] -> [b]
 201 normalizeWith extract bs = map (\x -> x/(sum bs')) bs'
 202     where
 203         bs' = map extract bs
 204
 205 -- Zip functions to add
 206 zipFst :: ([b] -> [a]) -> [b] -> [(a, b)]
 207 zipFst  f xs = zip (f xs) xs
 208
 209 zipSnd :: ([a] -> [b]) -> [a] -> [(a, b)]
 210 zipSnd f xs = zip xs (f xs)