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annotate similar.hs @ 18:c77397d0677f

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Try define Similar as Monad
author Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
date Mon, 22 Sep 2014 21:04:32 +0900
parents 279ebcf670c4
children 003b6e58d815
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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 data Similar a = Single [String] a | Similar [String] a [String] a deriving (Show)
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5
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6 original :: (Similar a) -> Similar a
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7 original (Similar xs x _ _) = Single xs x
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8 original s = s
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9
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10 similar :: (Similar a) -> Similar a
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11 similar (Similar _ _ ys y) = Single ys y
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12 similar s = s
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13
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14 mergeSimilar :: Similar a -> Similar a -> Similar a
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15 mergeSimilar (Single xs x) (Single ys y) = Similar xs x ys y
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16
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17 instance (Eq a) => Eq (Similar a) where
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18 s == ss = (original s) == (original ss)
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19
c77397d0677f Try define Similar as Monad
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20 instance Functor Similar where
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21 fmap f (Single xs x) = Single xs (f x)
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22 fmap f (Similar xs x ys y) = Similar xs (f x) ys (f y)
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23
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24 similarLogAppend :: [String] -> Similar a -> Similar a
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25 similarLogAppend ls (Single xs x) = Single (ls ++ xs) x
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26 similarLogAppend ls (Similar xs x ys y) = Similar (ls ++ xs) x (ls ++ ys) y
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27
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28
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29 instance Monad Similar where
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30 return = Single []
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31 (Single xs x) >>= f = similarLogAppend xs (original (f x))
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32 (Similar xs x ys y) >>= f = mergeSimilar (similarLogAppend xs (original (f x))) (similarLogAppend ys (similar (f y)))
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33
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34
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35 {-
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36
10
7c7efee7891f Define Monad style Similer
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37
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38
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39 -- samples
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40 {-
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41
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42 generator :: Int -> Similar [Int]
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43 generator x = return [1..x]
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44
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45 primeFilter :: [Int] -> Similar [Int]
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46 primeFilter xs = return $ filter isPrime xs
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47
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48 count :: [Int] -> Similar Int
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49 count xs = return $ length xs
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50
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51 primeCount :: Int -> Int
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52 primeCount x = value $ generator x >>= primeFilter >>= count
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53 -}
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54
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55
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56 {-
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57 same :: (Eq a) => Similar a -> a
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58 same (Single x) = x
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59 same (Similar x s) = if x == (same s) then x else (error "same")
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7c7efee7891f Define Monad style Similer
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60
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61
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62 similar :: Similar a -> Similar a -> Similar a
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63 similar (Single x) ss = Similar x ss
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64 similar (Similar x s) ss = Similar x (similar s ss)
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65
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66 instance Functor Similar where
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67 fmap f (Single a) = Single (f a)
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68 fmap f (Similar a s) = Similar (f a) (fmap f s)
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69
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70 instance Applicative Similar where
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71 pure = Single
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72 (Single f) <*> s = fmap f s
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73 (Similar f s) <*> ss = similar (fmap f ss) (s <*> ss)
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74
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75 mu :: (Similar (Similar a)) -> Similar a
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76 mu (Single s) = s
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77 mu (Similar s ss) = similar s (mu ss)
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7c7efee7891f Define Monad style Similer
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78
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79
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7a82a5e50499 Initial commit. define to Functor for Similer
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80
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81 -- samples
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82
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83 double :: Int -> Similar Int
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84 double x = Single (2 * x)
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85
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86 twicePlus :: Int -> Similar Int
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87 twicePlus x = Similar (x + x) (double x)
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88
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89 plusTwo :: Int -> Similar Int
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90 plusTwo x = Similar (x + 2) (double x)
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91
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92 -- samples
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93
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94 {-
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95 - Similar as Functor
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96 *Main> fmap (double ) (Single 1)
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97 Single (Single 2)
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98 *Main> fmap (twicePlus) (Single 1)
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99 Single (Similar 2 (Single 2))
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100 *Main> fmap (plusTwo) (Single 1)
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101 Single (Similar 3 (Single 2))
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102 *Main> fmap (fmap double) (fmap (plusTwo ) (Single 1))
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103 Single (Similar (Single 6) (Single (Single 4)))
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104 *Main> same $ fmap same $ fmap (fmap double) (fmap (plusTwo ) (Single 1))
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105 *** Exception: same
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106 *Main> same $ fmap same $ fmap (fmap double) (fmap (plusTwo ) (Single 2))
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107 Single 8
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108
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109 - Similar as Applicative Functor
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110 *Main> Single (\x -> x * x) <*> Single 100
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111 Single 10000
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112 *Main> Similar (\x -> x * x) (Single (\x -> x * 3)) <*> Single 100
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113 Similar 10000 (Single 300)
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114 *Main> Similar (\x -> x * x) (Single (\x -> x * 3)) <*> (Similar 100 (Single 200))
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115 Similar 10000 (Similar 40000 (Similar 300 (Single 600)))
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116
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117 - Similar as Monad
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118 *Main> return 100 >>= double >>= twicePlus
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119 Similar 400 (Single 400)
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120 *Main> return 100 >>= double >>= twicePlus >>= plusTwo
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121 Similar 402 (Similar 800 (Similar 402 (Single 800)))
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122
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123 *Main> same $ return 100 >>= double >>= twicePlus >>= plusTwo
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124 *** Exception: same
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125 *Main> same $ return 100 >>= double >>= twicePlus
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126 400
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127
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128 *Main> same $ return 100 >>= double >>= twicePlus
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129 400
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130 *Main> same $ return 100 >>= double >>= twicePlus >>= plusTwo
15
c599d2236d19 Similar as Monad
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents: 14
diff changeset
131 *** Exception: same
16
4b315cf0edb9 Improve mu definition
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents: 15
diff changeset
132 *Main> value $ return 100 >>= double >>= twicePlus >>= plusTwo
15
c599d2236d19 Similar as Monad
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents: 14
diff changeset
133 800
c599d2236d19 Similar as Monad
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents: 14
diff changeset
134
10
7c7efee7891f Define Monad style Similer
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents: 9
diff changeset
135 -}
18
c77397d0677f Try define Similar as Monad
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents: 17
diff changeset
136 -}
c77397d0677f Try define Similar as Monad
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents: 17
diff changeset
137 -}