diff options
author | Greg Brown <greg.brown01@ed.ac.uk> | 2024-11-15 15:44:30 +0000 |
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committer | Greg Brown <greg.brown01@ed.ac.uk> | 2024-11-15 15:44:30 +0000 |
commit | 3caa95a139538bb07c74847ca3aba2603a03c502 (patch) | |
tree | afa588ecffb2efd05b1202c7ce5ae6005c86b8d2 /src/Inky/Decidable/Maybe.idr | |
parent | 865dc549baf613e45e2f79036d54850a483fa509 (diff) |
Add compilation to scheme.
Extract parser as an independent project.
Diffstat (limited to 'src/Inky/Decidable/Maybe.idr')
-rw-r--r-- | src/Inky/Decidable/Maybe.idr | 146 |
1 files changed, 0 insertions, 146 deletions
diff --git a/src/Inky/Decidable/Maybe.idr b/src/Inky/Decidable/Maybe.idr deleted file mode 100644 index 2f1d83c..0000000 --- a/src/Inky/Decidable/Maybe.idr +++ /dev/null @@ -1,146 +0,0 @@ -module Inky.Decidable.Maybe - -import Data.Maybe -import Data.These -import Inky.Decidable.Either - -public export -WhenJust : (a -> Type) -> Type -> Maybe a -> Type -WhenJust p b (Just x) = p x -WhenJust p b Nothing = b - -public export -record Proof (0 a : Type) (0 p : a -> Type) (0 b : Type) where - constructor Because - does : Maybe a - reason : WhenJust p b does - -%name Proof p, q - -public export -DecWhen : (0 a : Type) -> (0 p : a -> Type) -> Type -DecWhen a p = Proof a p ((x : a) -> Not (p x)) - --- Operations ------------------------------------------------------------------ - -public export -(.forget) : Proof a p b -> LazyEither (x ** p x) b -(Just x `Because` px).forget = True `Because` (x ** px) -(Nothing `Because` y).forget = False `Because` y - -public export -map : - (f : a -> a') -> - ((x : a) -> p x -> q (f x)) -> - (b -> b') -> - Proof a p b -> Proof a' q b' -map f g h (Just x `Because` px) = Just (f x) `Because` g x px -map f g h (Nothing `Because` y) = Nothing `Because` h y - -export autobind infixr 0 >=> - -public export -andThen : - {0 q : a -> a' -> Type} -> - {0 b' : a -> Type} -> - Proof a p b -> - ((x : a) -> Proof a' (q x) (b' x)) -> - Proof (a, a') (\xy => (p (fst xy), uncurry q xy)) (Either b (x ** (p x, b' x))) -andThen (Just x `Because` px) f = map (x,) (\_ => (px,)) (\y => Right (x ** (px, y))) $ f x -andThen (Nothing `Because` y) f = Nothing `Because` Left y - -public export -(>=>) : - {0 q : a -> a' -> Type} -> - {0 b' : a -> Type} -> - Proof a p b -> - ((x : a) -> Proof a' (q x) (b' x)) -> - Proof (a, a') (\xy => (p (fst xy), uncurry q xy)) (Either b (x ** (p x, b' x))) -(>=>) = andThen - -public export -andThen' : - {0 a' : a -> Type} -> - {0 q : (x : a) -> a' x -> Type} -> - {0 b' : a -> Type} -> - Proof a p b -> - ((x : a) -> Proof (a' x) (q x) (b' x)) -> - Proof (x ** a' x) (\xy => (p (fst xy), q (fst xy) (snd xy))) (Either b (x ** (p x, b' x))) -andThen' (Just x `Because` px) f = - map (\y => (x ** y)) (\_ => (px,)) (\y => Right (x ** (px, y))) $ f x -andThen' (Nothing `Because` y) f = Nothing `Because` Left y - -public export -all : - Proof a p b -> - Proof a' q b' -> - Proof (a, a') (\xy => (p (fst xy), q (snd xy))) (These b b') -all (Just x `Because` px) (Just y `Because` py) = Just (x, y) `Because` (px, py) -all (Just x `Because` px) (Nothing `Because` y) = Nothing `Because` That y -all (Nothing `Because` x) q = - Nothing `Because` - case q of - (Just _ `Because` _) => This x - (Nothing `Because` y) => Both x y - -public export -first : - Proof a p b -> - Lazy (Proof c q d) -> - Proof (Either a c) (either p q) (b, d) -first (Just x `Because` px) q = Just (Left x) `Because` px -first (Nothing `Because` x) (Just y `Because` py) = Just (Right y) `Because` py -first (Nothing `Because` x) (Nothing `Because` y) = Nothing `Because` (x, y) - -namespace Either - public export - andThen : - (0 c : a -> Type) -> - (0 p : (x : a) -> c x -> Type) -> - (0 d : a -> Type) -> - LazyEither a b -> ((x : a) -> Proof (c x) (p x) (d x)) -> - Proof (x ** c x) (\xy => p (fst xy) (snd xy)) (Either b (x ** d x)) - andThen _ _ _ (True `Because` x) f = map (\y => (x ** y)) (\_ => id) (\y => Right (x ** y)) (f x) - andThen _ _ _ (False `Because` y) f = Nothing `Because` Left y - - public export - first : - LazyEither a b -> - Lazy (Proof c p d) -> - Proof (Maybe c) (maybe a p) (b, d) - first (True `Because` x) q = Just Nothing `Because` x - first (False `Because` x) (Just y `Because` py) = Just (Just y) `Because` py - first (False `Because` x) (Nothing `Because` y) = Nothing `Because` (x, y) - - public export - all : LazyEither a b -> Lazy (Proof c p d) -> Proof c (\x => (a, p x)) (These b d) - all (True `Because` x) (Just y `Because` py) = Just y `Because` (x, py) - all (True `Because` x) (Nothing `Because` y) = Nothing `Because` That y - all (False `Because` x) q = - Nothing `Because` - case q of - (Just y `Because` _) => This x - (Nothing `Because` y) => Both x y - -namespace Elim - export autobind infixr 0 >=> - - public export - andThen : - {0 q, r : a -> Type} -> - Proof a p b -> ((x : a) -> LazyEither (q x) (r x)) -> - LazyEither (x ** (p x, q x)) (Either b (x ** (p x, r x))) - andThen (Just x `Because` px) f = map (\qx => (x ** (px, qx))) (\rx => Right (x ** (px, rx))) (f x) - andThen (Nothing `Because` y) f = False `Because` Left y - - public export - (>=>) : - {0 q, r : a -> Type} -> - Proof a p b -> ((x : a) -> LazyEither (q x) (r x)) -> - LazyEither (x ** (p x, q x)) (Either b (x ** (p x, r x))) - (>=>) = andThen - -public export -pure : (x : a) -> LazyEither (b x) c -> Proof a b c -pure x (True `Because` y) = Just x `Because` y -pure x (False `Because` y) = Nothing `Because` y |