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annotate similer.hs @ 4:66609010d477

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Define Similer example as Functor
author Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
date Tue, 02 Sep 2014 11:01:25 +0900 (2014-09-02)
parents 3c5fbce357af
children 051c663a4af2
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3c5fbce357af Define >>= for Similer
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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1 {-# LANGUAGE UndecidableInstances #-}
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a5210ec1e41b Reduce definition
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2 data Similer a b = Similer a (a -> b) b
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4 instance Functor (Similer a) where
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5 fmap g (Similer a f b) = Similer a (g . f) $ g b
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7 same :: (Eq a) => Similer a b -> Similer a b -> Bool
3c5fbce357af Define >>= for Similer
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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8 same (Similer a _ _ ) (Similer b _ _) = a == b
3c5fbce357af Define >>= for Similer
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10 eta :: a -> Similer a a
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11 eta a = Similer a id a
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13 mu :: (Eq b) => Similer a (Similer b c) -> Similer b c
3c5fbce357af Define >>= for Similer
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14 mu (Similer a f b) = if (same (f a) b) then b else undefined
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66609010d477 Define Similer example as Functor
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16 double :: Int -> Similer Int Int
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17 double x = Similer (2 * x) id (2 * x)
66609010d477 Define Similer example as Functor
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66609010d477 Define Similer example as Functor
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19 twicePlus :: Int -> Similer Int (Similer Int Int)
66609010d477 Define Similer example as Functor
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20 twicePlus x = Similer x double (Similer (x + x) id $ x + x)
66609010d477 Define Similer example as Functor
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66609010d477 Define Similer example as Functor
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22 plusTwo :: Int -> Similer Int (Similer Int Int)
66609010d477 Define Similer example as Functor
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23 plusTwo x = Similer x double (Similer (x + 2) id (x + 2))
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66609010d477 Define Similer example as Functor
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25 hoge :: Eq b => Similer a b -> b
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26 hoge (Similer x f y) = if (f x) == y then y else undefined