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annotate delta.hs @ 69:295e8ed39c0c

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Change headDelta definition. return non-delta value
author Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
date Thu, 27 Nov 2014 19:12:44 +0900
parents 46b15f368905
children 0ad0ae7a3cbe
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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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3
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4 -- delta definition
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5
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6 data Delta a = Mono a | Delta a (Delta a) deriving Show
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279ebcf670c4 Define Similar as Applicative
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7
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8 -- basic functions
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9
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10 deltaAppend :: Delta a -> Delta a -> Delta a
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11 deltaAppend (Mono x) d = Delta x d
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12 deltaAppend (Delta x d) ds = Delta x (deltaAppend d ds)
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295e8ed39c0c Change headDelta definition. return non-delta value
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14 headDelta :: Delta a -> a
295e8ed39c0c Change headDelta definition. return non-delta value
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15 headDelta (Mono x) = x
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16 headDelta (Delta x _) = x
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116131b196bb Define fmap and mu
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18 tailDelta :: Delta a -> Delta a
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19 tailDelta d@(Mono _) = d
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20 tailDelta (Delta _ ds) = ds
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22 -- instance definitions
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23
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24 instance Functor Delta where
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25 fmap f (Mono x) = Mono (f x)
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26 fmap f (Delta x d) = Delta (f x) (fmap f d)
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27
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28 instance Applicative Delta where
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29 pure f = Mono f
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30 (Mono f) <*> (Mono x) = Mono (f x)
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31 df@(Mono f) <*> (Delta x d) = Delta (f x) (df <*> d)
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32 (Delta f df) <*> d@(Mono x) = Delta (f x) (df <*> d)
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33 (Delta f df) <*> (Delta x d) = Delta (f x) (df <*> d)
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34
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35 bind :: (Delta a) -> (a -> Delta b) -> (Delta b)
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36 bind (Mono x) f = f x
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295e8ed39c0c Change headDelta definition. return non-delta value
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37 bind (Delta x d) f = Delta (headDelta (f x)) (bind d (tailDelta . f))
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38
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39 mu :: (Delta (Delta a)) -> (Delta a)
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40 mu d = bind d id
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41
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42 instance Monad Delta where
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43 return x = Mono x
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44 d >>= f = mu $ fmap f d
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47
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48 -- utils
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49
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50 returnS :: (Show s) => s -> Delta s
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51 returnS x = Mono x
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53 returnSS :: (Show s) => s -> s -> Delta s
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54 returnSS x y = (returnS x) `deltaAppend` (returnS y)
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56 deltaFromList :: [a] -> Delta a
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57 deltaFromList = (foldl1 deltaAppend) . (fmap return)
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58
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59
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60 -- samples
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61
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62 generator :: Int -> Delta [Int]
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63 generator x = let intList = [1..x] in
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64 returnS intList
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5e367a167382 Define samples
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66 primeFilter :: [Int] -> Delta [Int]
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67 primeFilter xs = let primeList = filter isPrime xs
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68 refactorList = filter even xs in
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69 returnSS primeList refactorList
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71 count :: [Int] -> Delta Int
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72 count xs = let primeCount = length xs in
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73 returnS primeCount
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75 primeCount :: Int -> Delta Int
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76 primeCount x = generator x >>= primeFilter >>= count
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cb5c190aa45d Define bubble sort
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cb5c190aa45d Define bubble sort
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78 bubbleSort :: [Int] -> Delta [Int]
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79 bubbleSort [] = returnS []
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80 bubbleSort xs = bubbleSort remainValue >>= (\xs -> returnSS (sortedValueL : xs)
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81 (sortedValueR ++ xs))
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cb5c190aa45d Define bubble sort
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82 where
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83 maximumValue = maximum xs
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84 sortedValueL = maximumValue
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85 sortedValueR = replicate (length $ filter (== maximumValue) xs) maximumValue
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86 remainValue = filter (/= maximumValue) xs