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open Preface_core.Fun
open Preface_core.Fun.Infix
module Core_via_map_and_duplicate
(Req : Preface_specs.Comonad.WITH_MAP_AND_DUPLICATE) =
struct
include Req
let extend f = duplicate %> map f
let compose_left_to_right f g = duplicate %> map f %> g
end
module Core_via_extend (Req : Preface_specs.Comonad.WITH_EXTEND) = struct
include Req
let duplicate a = extend id a
let compose_left_to_right f g = extend f %> g
let map f = extend @@ (extract %> f)
end
module Core_via_cokleisli_composition
(Req : Preface_specs.Comonad.WITH_COKLEISLI_COMPOSITION) =
struct
include Req
let extend f = compose_left_to_right f id
let duplicate a = compose_left_to_right id id a
let map f = compose_left_to_right (extract %> f) id
end
module Syntax (Core : Preface_specs.Comonad.CORE) = struct
type 'a t = 'a Core.t
let ( let@ ) e f = Core.extend f e
let ( let+ ) e f = Core.map f e
end
module Operation (Core : Preface_specs.Comonad.CORE) = struct
include Functor.Operation (Core)
let lift = Core.map
let lift2 f a = Core.(map @@ extract @@ lift f a)
let lift3 f a b = Core.(map @@ extract @@ lift2 f a b)
let compose_right_to_left f g = Core.compose_left_to_right g f
end
module Infix
(Core : Preface_specs.Comonad.CORE)
(Operation : Preface_specs.Comonad.OPERATION with type 'a t = 'a Core.t) =
struct
include Functor.Infix (Core) (Operation)
let ( <<= ) = Core.extend
let ( =>> ) a f = Core.extend f a
let ( =>= ) = Core.compose_left_to_right
let ( =<= ) = Operation.compose_right_to_left
let ( <@> ) f a = Core.(map (extract f) a)
let ( <@@> ) a f = f <@> a
let ( <@ ) a = Core.(map @@ extract @@ map const a)
let ( @> ) a b = b <@ a
end
module Via
(Core : Preface_specs.Comonad.CORE)
(Operation : Preface_specs.Comonad.OPERATION)
(Syntax : Preface_specs.Comonad.SYNTAX)
(Infix : Preface_specs.Comonad.INFIX) =
struct
include Core
include Operation
include Syntax
module Syntax = Syntax
include Infix
module Infix = Infix
end
module Via_map_and_duplicate
(Req : Preface_specs.Comonad.WITH_MAP_AND_DUPLICATE) =
struct
module Core = Core_via_map_and_duplicate (Req)
module Operation = Operation (Core)
module Syntax = Syntax (Core)
module Infix = Infix (Core) (Operation)
include Core
include Operation
include Syntax
include Infix
end
module Via_extend (Req : Preface_specs.Comonad.WITH_EXTEND) = struct
module Core = Core_via_extend (Req)
module Operation = Operation (Core)
module Syntax = Syntax (Core)
module Infix = Infix (Core) (Operation)
include Core
include Operation
include Syntax
include Infix
end
module Via_cokleisli_composition
(Req : Preface_specs.Comonad.WITH_COKLEISLI_COMPOSITION) =
struct
module Core = Core_via_cokleisli_composition (Req)
module Operation = Operation (Core)
module Syntax = Syntax (Core)
module Infix = Infix (Core) (Operation)
include Core
include Operation
include Syntax
include Infix
end