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annotate delta.hs @ 46:cb5c190aa45d

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Define bubble sort
author Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
date Tue, 11 Nov 2014 13:28:55 +0900
parents 0c2d758406b1
children 1aefea69f71b
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279ebcf670c4 Define Similar as Applicative
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1 import Control.Applicative
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2 import Data.Numbers.Primes -- $ cabal install primes
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4 data Delta a = Delta [String] a [String] a
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6 instance (Show a) => Show (Delta a) where
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7 show (Delta lx x ly y) = values ++ logs
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8 where
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9 values = "Delta {" ++ (show x) ++ "|" ++ (show y) ++ "}\n"
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10 logs = concat . reverse $ zipWith formatter lx ly
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11 formatter x y = " {" ++ x ++ (separator x y) ++ y ++ "}\n"
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12 separator x y = if (max (length x) (length y)) > 50 then "|\n " else "|"
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279ebcf670c4 Define Similar as Applicative
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14 value :: (Delta a) -> a
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15 value (Delta _ x _ _) = x
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af8754322ed4 Define Similar sample
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17 similar :: (Delta a) -> a
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18 similar (Delta _ _ _ y) = y
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116131b196bb Define fmap and mu
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20 instance (Eq a) => Eq (Delta a) where
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003b6e58d815 Define Similar as Monad by mu
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21 s == ss = (value s) == (value ss)
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23 instance Functor Delta where
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24 fmap f (Delta xs x ys y) = Delta xs (f x) ys (f y)
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26 -- not proof
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27 fmapS :: (Show a) => (a -> b) -> Delta a -> Delta b
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28 fmapS f (Delta lx x ly y) = Delta (lx ++ [(show x)]) (f x) (ly ++ [(show y)]) (f y)
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30 instance Applicative Delta where
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31 pure f = Delta [] f [] f
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32 (Delta lf f lg g) <*> (Delta lx x ly y) = Delta (lf ++ lx) (f x) (lg ++ ly) (g y)
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34 mu :: Delta (Delta a) -> Delta a
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35 mu (Delta lx (Delta llx x _ _) ly (Delta _ _ lly y)) = Delta (lx ++ llx) x (ly ++ lly) y
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37 instance Monad Delta where
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38 return x = Delta [] x [] x
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39 s >>= f = mu $ fmap f s
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42 returnS :: (Show s) => s -> Delta s
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43 returnS x = Delta [(show x)] x [(show x)] x
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45 returnSS :: (Show s) => s -> s -> Delta s
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46 returnSS x y = Delta [(show x)] x [(show y)] y
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48 -- samples
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50 generator :: Int -> Delta [Int]
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51 generator x = let intList = [1..x] in
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52 returnS intList
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54 primeFilter :: [Int] -> Delta [Int]
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55 primeFilter xs = let primeList = filter isPrime xs
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56 refactorList = filter even xs in
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57 returnSS primeList refactorList
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59 count :: [Int] -> Delta Int
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60 count xs = let primeCount = length xs in
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61 returnS primeCount
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c599d2236d19 Similar as Monad
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63 primeCount :: Int -> Delta Int
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64 primeCount x = generator x >>= primeFilter >>= count
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66 bubbleSort :: [Int] -> Delta [Int]
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67 bubbleSort [] = returnS []
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68 bubbleSort xs = fmapS (\x -> (replicate maxNumCount maxNum) ++ x) (bubbleSort remainList)
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69 where
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70 maxNum = maximum xs
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71 remainList = filter (/= maxNum) xs
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72 maxNumCount = (length xs) - (length remainList)
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