annotate similer.hs @ 9:41c71f67c103

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author Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
date Tue, 02 Sep 2014 11:48:53 +0900
parents 6e0285628ead
children 7c7efee7891f
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a5210ec1e41b Reduce definition
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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1 data Similer a b = Similer a (a -> b) b
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7a82a5e50499 Initial commit. define to Functor for Similer
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3 instance Functor (Similer a) where
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4 fmap g (Similer a f b) = Similer a (g . f) $ g b
7a82a5e50499 Initial commit. define to Functor for Similer
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051c663a4af2 Rename some functions
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6 eq :: (Eq a) => Similer a b -> Similer a b -> Bool
051c663a4af2 Rename some functions
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7 eq (Similer a _ _ ) (Similer b _ _) = a == b
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3c5fbce357af Define >>= for Similer
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a5210ec1e41b Reduce definition
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9 eta :: a -> Similer a a
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10 eta a = Similer a id a
7a82a5e50499 Initial commit. define to Functor for Similer
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3c5fbce357af Define >>= for Similer
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12 mu :: (Eq b) => Similer a (Similer b c) -> Similer b c
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13 mu (Similer a f b) = if (eq (f a) b) then b else undefined
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3c5fbce357af Define >>= for Similer
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6e0285628ead Define similer function
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15 double :: Int -> Int
6e0285628ead Define similer function
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16 double x = (2 * x)
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66609010d477 Define Similer example as Functor
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6e0285628ead Define similer function
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18 twicePlus :: Int -> Int
6e0285628ead Define similer function
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19 twicePlus x = x + x
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66609010d477 Define Similer example as Functor
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6e0285628ead Define similer function
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21 plusTwo :: Int -> Int
6e0285628ead Define similer function
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22 plusTwo x = x + 2
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66609010d477 Define Similer example as Functor
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41c71f67c103 Show ErrorMessage
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24 same :: (Show b, Eq b) => Similer a b -> b
41c71f67c103 Show ErrorMessage
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25 same (Similer x f y) = if (f x) == y then y else (error ("not same :" ++ show y))
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5e367a167382 Define samples
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41c71f67c103 Show ErrorMessage
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27 similer :: (Show b, Eq b) => (a -> b) -> (a -> b) -> a -> b
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6e0285628ead Define similer function
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28 similer f g x = same $ Similer x g (f x)
6e0285628ead Define similer function
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5e367a167382 Define samples
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5e367a167382 Define samples
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31 -- samples
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6e0285628ead Define similer function
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32 sameExample = map (similer twicePlus double) [1..10]
6e0285628ead Define similer function
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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33 nonSameExample = map (similer twicePlus plusTwo) [1..10]
6e0285628ead Define similer function
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34 nonSameExampleSpecific = map (similer twicePlus plusTwo) [2]