Source file monad.ml
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open Preface_core.Fun
module Core_via_return_and_bind (Req : Preface_specs.Monad.WITH_RETURN_AND_BIND) =
struct
type 'a t = 'a Req.t
include (
Indexed_monad.Core_via_return_and_bind (struct
type ('a, 'index) t = 'a Req.t
include (
Req :
Preface_specs.Monad.WITH_RETURN_AND_BIND with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_monad.CORE with type ('a, _) t := 'a Req.t )
end
module Core_via_return_map_and_join
(Req : Preface_specs.Monad.WITH_RETURN_MAP_AND_JOIN) =
struct
type 'a t = 'a Req.t
include (
Indexed_monad.Core_via_return_map_and_join (struct
type ('a, 'index) t = 'a Req.t
include (
Req :
Preface_specs.Monad.WITH_RETURN_MAP_AND_JOIN
with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_monad.CORE with type ('a, _) t := 'a Req.t )
end
module Core_via_return_and_kleisli_composition
(Req : Preface_specs.Monad.WITH_RETURN_AND_KLEISLI_COMPOSITION) =
struct
type 'a t = 'a Req.t
include (
Indexed_monad.Core_via_return_and_kleisli_composition (struct
type ('a, 'index) t = 'a Req.t
include (
Req :
Preface_specs.Monad.WITH_RETURN_AND_KLEISLI_COMPOSITION
with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_monad.CORE with type ('a, _) t := 'a Req.t )
end
module Operation (Core : Preface_specs.Monad.CORE) = struct
type 'a t = 'a Core.t
include (
Indexed_monad.Operation (struct
type ('a, 'index) t = 'a Core.t
include (Core : Preface_specs.Monad.CORE with type 'a t := 'a Core.t)
end) :
Preface_specs.Indexed_monad.OPERATION with type ('a, _) t := 'a Core.t )
end
module Syntax (Core : Preface_specs.Monad.CORE) = struct
type 'a t = 'a Core.t
include (
Indexed_monad.Syntax (struct
type ('a, 'index) t = 'a Core.t
include (Core : Preface_specs.Monad.CORE with type 'a t := 'a Core.t)
end) :
Preface_specs.Indexed_monad.SYNTAX with type ('a, _) t := 'a Core.t )
end
module Infix
(Core : Preface_specs.Monad.CORE)
(Operation : Preface_specs.Monad.OPERATION with type 'a t = 'a Core.t) =
struct
type 'a t = 'a Core.t
include (
Indexed_monad.Infix
(struct
type ('a, 'index) t = 'a Core.t
include (Core : Preface_specs.Monad.CORE with type 'a t := 'a Core.t)
end)
(struct
type ('a, 'index) t = 'a Core.t
include (
Operation :
Preface_specs.Monad.OPERATION with type 'a t := 'a Operation.t )
end) :
Preface_specs.Indexed_monad.INFIX with type ('a, _) t := 'a Core.t )
end
module Via
(Core : Preface_specs.Monad.CORE)
(Operation : Preface_specs.Monad.OPERATION with type 'a t = 'a Core.t)
(Infix : Preface_specs.Monad.INFIX with type 'a t = 'a Core.t)
(Syntax : Preface_specs.Monad.SYNTAX with type 'a t = 'a Core.t) =
struct
type 'a t = 'a Core.t
include (
Indexed_monad.Via
(struct
type ('a, 'index) t = 'a Core.t
include (Core : Preface_specs.Monad.CORE with type 'a t := 'a Core.t)
end)
(struct
type ('a, 'index) t = 'a Core.t
include (
Operation : Preface_specs.Monad.OPERATION with type 'a t := 'a Core.t )
end)
(struct
type ('a, 'index) t = 'a Core.t
include (Infix : Preface_specs.Monad.INFIX with type 'a t := 'a Core.t)
end)
(struct
type ('a, 'index) t = 'a Core.t
include (Syntax : Preface_specs.Monad.SYNTAX with type 'a t := 'a Core.t)
end) :
Preface_specs.Indexed_monad.API with type ('a, _) t := 'a Core.t )
end
module Via_return_and_bind (Req : Preface_specs.Monad.WITH_RETURN_AND_BIND) =
struct
type 'a t = 'a Req.t
include (
Indexed_monad.Via_return_and_bind (struct
type ('a, 'index) t = 'a Req.t
include (
Req :
Preface_specs.Monad.WITH_RETURN_AND_BIND with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_monad.API with type ('a, _) t := 'a Req.t )
end
module Via_return_map_and_join
(Req : Preface_specs.Monad.WITH_RETURN_MAP_AND_JOIN) =
struct
type 'a t = 'a Req.t
include (
Indexed_monad.Via_return_map_and_join (struct
type ('a, 'index) t = 'a Req.t
include (
Req :
Preface_specs.Monad.WITH_RETURN_MAP_AND_JOIN
with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_monad.API with type ('a, _) t := 'a Req.t )
end
module Via_return_and_kleisli_composition
(Req : Preface_specs.Monad.WITH_RETURN_AND_KLEISLI_COMPOSITION) =
struct
type 'a t = 'a Req.t
include (
Indexed_monad.Via_return_and_kleisli_composition (struct
type ('a, 'index) t = 'a Req.t
include (
Req :
Preface_specs.Monad.WITH_RETURN_AND_KLEISLI_COMPOSITION
with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_monad.API with type ('a, _) t := 'a Req.t )
end
module From_monad_plus (Monad_plus : Preface_specs.MONAD_PLUS) = Monad_plus
module From_arrow_apply (A : Preface_specs.ARROW_APPLY) =
Via_return_and_bind (struct
type 'a t = (unit, 'a) A.t
let return x = A.arrow (const x)
let bind f x = A.(x >>> arrow (fun x -> (f x, ())) >>> apply)
end)
module Product (F : Preface_specs.MONAD) (G : Preface_specs.MONAD) =
Via_return_and_bind (struct
type 'a t = 'a F.t * 'a G.t
let return x = (F.return x, G.return x)
let bind f (m, n) = (F.bind (fst % f) m, G.bind (snd % f) n)
end)
module Index (F : Preface_specs.MONAD) = struct
type ('a, 'index) t = 'a F.t
include (
Indexed_monad.Via
(struct
type nonrec ('a, 'index) t = ('a, 'index) t
include (F : Preface_specs.Monad.CORE with type 'a t := 'a F.t)
end)
(struct
type nonrec ('a, 'index) t = ('a, 'index) t
include (F : Preface_specs.Monad.OPERATION with type 'a t := 'a F.t)
end)
(struct
type nonrec ('a, 'index) t = ('a, 'index) t
include (F.Infix : Preface_specs.Monad.INFIX with type 'a t := 'a F.t)
end)
(struct
type nonrec ('a, 'index) t = ('a, 'index) t
include (F.Syntax : Preface_specs.Monad.SYNTAX with type 'a t := 'a F.t)
end) :
Preface_specs.INDEXED_MONAD with type ('a, 'index) t := ('a, 'index) t )
end