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let swap (a, b) = (b, a)
let assoc ((a, b), c) = (a, (b, c))
let unassoc (a, (b, c)) = ((a, b), c)
let swap_either x = Either.(fold ~left:right ~right:left) x
let curry f x y = f (x, y)
let uncurry f (x, y) = f x y
let assoc_either x =
let open Either in
match x with
| Left (Left a) -> Left a
| Left (Right b) -> Right (Left b)
| Right c -> Right (Right c)
;;
let unassoc_either x =
let open Either in
match x with
| Left a -> Left (Left a)
| Right (Left b) -> Left (Right b)
| Right (Right c) -> Right c
;;
module Fun = struct
open Preface_core.Fun.Infix
type ('a, 'b) t = 'a -> 'b
module Profunctor = Preface_make.Profunctor.Via_dimap (struct
type nonrec ('a, 'b) t = ('a, 'b) t
let dimap x y z = y % z % x
end)
module Strong =
Preface_make.Strong.Over_profunctor_via_fst
(Profunctor)
(struct
type nonrec ('a, 'b) t = ('a, 'b) t
let fst x (y, z) = (x y, z)
end)
module Choice =
Preface_make.Choice.Over_profunctor_via_left
(Profunctor)
(struct
type nonrec ('a, 'b) t = ('a, 'b) t
let left f = function
| Either.Left x -> Either.Left (f x)
| Either.Right x -> Either.Right x
;;
end)
module Closed =
Preface_make.Closed.Over_profunctor_via_closed
(Profunctor)
(struct
type nonrec ('a, 'b) t = ('a, 'b) t
let closed = Preface_core.Fun.compose_right_to_left
end)
module Semigroupoid = Preface_make.Semigroupoid.Via_compose (struct
type nonrec ('a, 'b) t = ('a, 'b) t
let compose = Preface_core.Fun.compose_right_to_left
end)
module Category =
Preface_make.Category.Over_semigroupoid
(Semigroupoid)
(struct
type nonrec ('a, 'b) t = ('a, 'b) t
let id x = x
end)
module Arrow = Preface_make.Arrow.From_strong_and_category (Strong) (Category)
module Arrow_choice =
Preface_make.Arrow_choice.Over_arrow_with_choose
(Arrow)
(struct
type nonrec ('a, 'b) t = ('a, 'b) t
let case f g = Stdlib.Either.fold ~left:f ~right:g
let choose f g = case (Stdlib.Either.left % f) (Stdlib.Either.right % g)
end)
module Arrow_apply =
Preface_make.Arrow_apply.Over_arrow
(Arrow)
(struct
type nonrec ('a, 'b) t = ('a, 'b) t
let apply (f, x) = f x
end)
end
module Endo (T : Preface_specs.Types.T0) =
Preface_make.Monoid.Via_combine_and_neutral (struct
open Preface_core.Fun.Infix
type t = T.t -> T.t
let neutral x = x
let combine f g = f % g
end)
module Dual (T : Preface_specs.MONOID) =
Preface_make.Monoid.Via_combine_and_neutral (struct
type t = T.t
let neutral = T.neutral
let combine a b = T.combine b a
end)
module Id = struct
type 'a t = 'a
module Functor = Preface_make.Functor.Via_map (struct
type nonrec 'a t = 'a t
let map f x = f x
end)
module Applicative = Preface_make.Applicative.Via_pure_and_apply (struct
type nonrec 'a t = 'a t
let pure x = x
let apply f x = f x
end)
module Monad = Preface_make.Monad.Via_return_and_bind (struct
type nonrec 'a t = 'a t
let return x = x
let bind f x = f x
end)
end