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45 lines
766 B
Idris
45 lines
766 B
Idris
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mutual
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data MyBool = MyFalse | MyTrue
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even : Nat -> MyBool
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even (S k) = odd k
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even Z = MyTrue
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odd : Nat -> MyBool
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odd (S k) = even k
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odd Z = MyFalse
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eodd : Nat -> (Bool, Bool)
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eodd num = (isEven num, isOdd num)
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where
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mutual
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isEven : Nat -> Bool
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isEven (S k) = isOdd k
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isEven Z = True
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isOdd : Nat -> Bool
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isOdd (S k) = isEven k
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isOdd Z = False
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data Box : Type -> Type where
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MkBox : a -> Box a
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mutual
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Functor Box where
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map f b
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= do b' <- b
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pure (f b')
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Applicative Box where
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(<*>) f a
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= do f' <- f
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a' <- a
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pure (f' a')
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pure = MkBox
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Monad Box where
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(>>=) (MkBox val) k = k val
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boxy : Box Integer
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boxy = map (*2) (MkBox 20)
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