Source file indexed_bind.ml
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open Preface_core.Fun
module Core_via_map_and_bind
(Req : Preface_specs.Indexed_bind.WITH_MAP_AND_BIND) =
struct
include Req
let join m = bind id m
let compose_left_to_right f g x = bind g (f x)
end
module Core_over_functor_via_bind
(Functor : Preface_specs.Indexed_functor.WITH_MAP)
(Req : Preface_specs.Indexed_bind.WITH_BIND
with type ('a, 'index) t = ('a, 'index) Functor.t) =
struct
include Core_via_map_and_bind (struct
include Functor
include Req
end)
end
module Core_via_map_and_join
(Req : Preface_specs.Indexed_bind.WITH_MAP_AND_JOIN) =
struct
include Req
let bind f m = join (map f m)
let compose_left_to_right f g x = bind g (f x)
end
module Core_via_map_and_kleisli_composition
(Req : Preface_specs.Indexed_bind.WITH_MAP_AND_KLEISLI_COMPOSITION) =
struct
include Req
let bind f m = (compose_left_to_right (const m) f) ()
let join m = bind id m
end
module Core_over_functor_via_kleisli_composition
(Functor : Preface_specs.Indexed_functor.WITH_MAP)
(Req : Preface_specs.Indexed_bind.WITH_KLEISLI_COMPOSITION
with type ('a, 'index) t = ('a, 'index) Functor.t) =
struct
include Core_via_map_and_kleisli_composition (struct
include Functor
include Req
end)
end
module Operation (Core : Preface_specs.Indexed_bind.CORE) = struct
include Indexed_functor.Operation (Core)
let compose_right_to_left f g x = Core.compose_left_to_right g f x
let lift = Core.map
let lift2 f ma mb = Core.(bind (fun a -> map (fun b -> f a b) mb) ma)
let lift3 f ma mb mc =
let open Core in
bind (fun a -> bind (fun b -> map (fun c -> f a b c) mc) mb) ma
;;
end
module Syntax (Core : Preface_specs.Indexed_bind.CORE) = struct
include Indexed_functor.Syntax (Core)
let ( let* ) m f = Core.bind f m
end
module Infix
(Core : Preface_specs.Indexed_bind.CORE)
(Operation : Preface_specs.Indexed_bind.OPERATION
with type ('a, 'index) t = ('a, 'index) Core.t) =
struct
include Indexed_functor.Infix (Core) (Operation)
let ( >|= ) x f = Core.map f x
let ( =|< ) = Core.map
let ( >>= ) x f = Core.bind f x
let ( =<< ) = Core.bind
let ( >=> ) = Core.compose_left_to_right
let ( <=< ) = Operation.compose_right_to_left
let ( >> ) ma mb = ma >>= fun _ -> mb
let ( << ) ma _ = ma
end
module Via
(Core : Preface_specs.Indexed_bind.CORE)
(Operation : Preface_specs.Indexed_bind.OPERATION)
(Infix : Preface_specs.Indexed_bind.INFIX)
(Syntax : Preface_specs.Indexed_bind.SYNTAX) =
struct
include Core
include Operation
include Syntax
include Infix
module Syntax = Syntax
module Infix = Infix
end
module Via_map_and_bind (Req : Preface_specs.Indexed_bind.WITH_MAP_AND_BIND) =
struct
module Core = Core_via_map_and_bind (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_map_and_join (Req : Preface_specs.Indexed_bind.WITH_MAP_AND_JOIN) =
struct
module Core = Core_via_map_and_join (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_map_and_kleisli_composition
(Req : Preface_specs.Indexed_bind.WITH_MAP_AND_KLEISLI_COMPOSITION) =
struct
module Core = Core_via_map_and_kleisli_composition (Req)
module Operation = Operation (Core)
module Syntax = Syntax (Core)
module Infix = Infix (Core) (Operation)
include Core
include Operation
include Syntax
include Infix
end
module Over_functor_via_bind
(Functor : Preface_specs.Indexed_functor.WITH_MAP)
(Req : Preface_specs.Indexed_bind.WITH_BIND
with type ('a, 'index) t = ('a, 'index) Functor.t) =
struct
module Core = Core_over_functor_via_bind (Functor) (Req)
module Operation = Operation (Core)
module Syntax = Syntax (Core)
module Infix = Infix (Core) (Operation)
include Core
include Operation
include Syntax
include Infix
end
module Over_functor_via_kleisli_composition
(Functor : Preface_specs.Indexed_functor.WITH_MAP)
(Req : Preface_specs.Indexed_bind.WITH_KLEISLI_COMPOSITION
with type ('a, 'index) t = ('a, 'index) Functor.t) =
struct
module Core = Core_over_functor_via_kleisli_composition (Functor) (Req)
module Operation = Operation (Core)
module Syntax = Syntax (Core)
module Infix = Infix (Core) (Operation)
include Core
include Operation
include Syntax
include Infix
end