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annotate similer.hs @ 8:6e0285628ead

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Define similer function
author Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
date Tue, 02 Sep 2014 11:27:49 +0900
parents 5e367a167382
children 41c71f67c103
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3c5fbce357af Define >>= for Similer
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1 {-# LANGUAGE UndecidableInstances #-}
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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 eq :: (Eq a) => Similer a b -> Similer a b -> Bool
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8 eq (Similer a _ _ ) (Similer b _ _) = a == b
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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
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14 mu (Similer a f b) = if (eq (f a) b) then b else undefined
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16 double :: Int -> Int
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17 double x = (2 * x)
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6e0285628ead Define similer function
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19 twicePlus :: Int -> Int
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20 twicePlus x = x + x
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6e0285628ead Define similer function
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22 plusTwo :: Int -> Int
6e0285628ead Define similer function
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23 plusTwo x = x + 2
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25 same :: Eq b => Similer a b -> b
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26 same (Similer x f y) = if (f x) == y then y else undefined
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28 similer :: Eq b => (a -> b) -> (a -> b) -> a -> b
6e0285628ead Define similer function
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29 similer f g x = same $ Similer x g (f x)
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32 -- samples
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33 sameExample = map (similer twicePlus double) [1..10]
6e0285628ead Define similer function
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34 nonSameExample = map (similer twicePlus plusTwo) [1..10]
6e0285628ead Define similer function
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35 nonSameExampleSpecific = map (similer twicePlus plusTwo) [2]