blob: 728dafe0104cb0bb60967ba47421df1df246a89f (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
|
{-# LANGUAGE DataKinds #-}
{-# LANGUAGE GADTs #-}
{-# LANGUAGE PolyKinds #-}
{-# LANGUAGE QuantifiedConstraints #-}
{-# LANGUAGE RankNTypes #-}
{-# LANGUAGE StandaloneDeriving #-}
{-# LANGUAGE TypeOperators #-}
{-# LANGUAGE DeriveTraversable #-}
module Data where
data SList f l where
SNil :: SList f '[]
SCons :: f a -> SList f l -> SList f (a : l)
deriving instance (forall a. Show (f a)) => Show (SList f l)
infixr `SCons`
slistMap :: (forall t. f t -> g t) -> SList f list -> SList g list
slistMap _ SNil = SNil
slistMap f (SCons x list) = SCons (f x) (slistMap f list)
data Nat = Z | S Nat
deriving (Show, Eq, Ord)
data SNat n where
SZ :: SNat Z
SS :: SNat n -> SNat (S n)
deriving instance Show (SNat n)
fromSNat :: SNat n -> Int
fromSNat SZ = 0
fromSNat (SS n) = succ (fromSNat n)
data Vec n t where
VNil :: Vec Z t
(:<) :: t -> Vec n t -> Vec (S n) t
deriving instance Show t => Show (Vec n t)
deriving instance Functor (Vec n)
deriving instance Foldable (Vec n)
deriving instance Traversable (Vec n)
vecLength :: Vec n t -> SNat n
vecLength VNil = SZ
vecLength (_ :< v) = SS (vecLength v)
|
