Source file apply.ml
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module Core_via_map_and_apply (Req : Preface_specs.Apply.WITH_MAP_AND_APPLY) =
struct
type 'a t = 'a Req.t
include (
Indexed_apply.Core_via_map_and_apply (struct
type ('a, 'index) t = 'a Req.t
include (
Req : Preface_specs.Apply.WITH_MAP_AND_APPLY with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_apply.CORE with type ('a, _) t := 'a Req.t )
end
module Core_over_functor_via_apply
(F : Preface_specs.Functor.WITH_MAP)
(Req : Preface_specs.Apply.WITH_APPLY with type 'a t = 'a F.t) =
struct
type 'a t = 'a Req.t
include (
Indexed_apply.Core_over_functor_via_apply
(struct
type ('a, 'index) t = 'a Req.t
include (F : Preface_specs.Functor.WITH_MAP with type 'a t := 'a F.t)
end)
(struct
type ('a, 'index) t = 'a Req.t
include (Req : Preface_specs.Apply.WITH_APPLY with type 'a t := 'a Req.t)
end) :
Preface_specs.Indexed_apply.CORE with type ('a, _) t := 'a Req.t )
end
module Core_via_map_and_product (Req : Preface_specs.Apply.WITH_MAP_AND_PRODUCT) =
struct
type 'a t = 'a Req.t
include (
Indexed_apply.Core_via_map_and_product (struct
type ('a, 'index) t = 'a Req.t
include (
Req :
Preface_specs.Apply.WITH_MAP_AND_PRODUCT with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_apply.CORE with type ('a, _) t := 'a Req.t )
end
module Core_over_functor_via_product
(F : Preface_specs.Functor.WITH_MAP)
(Req : Preface_specs.Apply.WITH_PRODUCT with type 'a t = 'a F.t) =
struct
type 'a t = 'a Req.t
include (
Indexed_apply.Core_over_functor_via_product
(struct
type ('a, 'index) t = 'a Req.t
include (F : Preface_specs.Functor.WITH_MAP with type 'a t := 'a F.t)
end)
(struct
type ('a, 'index) t = 'a Req.t
include (
Req : Preface_specs.Apply.WITH_PRODUCT with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_apply.CORE with type ('a, _) t := 'a Req.t )
end
module Core_via_map_and_lift2 (Req : Preface_specs.Apply.WITH_MAP_AND_LIFT2) =
struct
type 'a t = 'a Req.t
include (
Indexed_apply.Core_via_map_and_lift2 (struct
type ('a, 'index) t = 'a Req.t
include (
Req : Preface_specs.Apply.WITH_MAP_AND_LIFT2 with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_apply.CORE with type ('a, _) t := 'a Req.t )
end
module Core_over_functor_via_lift2
(F : Preface_specs.Functor.WITH_MAP)
(Req : Preface_specs.Apply.WITH_LIFT2 with type 'a t = 'a F.t) =
struct
type 'a t = 'a Req.t
include (
Indexed_apply.Core_over_functor_via_lift2
(struct
type ('a, 'index) t = 'a Req.t
include (F : Preface_specs.Functor.WITH_MAP with type 'a t := 'a F.t)
end)
(struct
type ('a, 'index) t = 'a Req.t
include (Req : Preface_specs.Apply.WITH_LIFT2 with type 'a t := 'a Req.t)
end) :
Preface_specs.Indexed_apply.CORE with type ('a, _) t := 'a Req.t )
end
module Operation (Core : Preface_specs.Apply.CORE) = struct
type 'a t = 'a Core.t
include (
Indexed_apply.Operation (struct
type ('a, 'index) t = 'a Core.t
include (Core : Preface_specs.Apply.CORE with type 'a t := 'a Core.t)
end) :
Preface_specs.Indexed_apply.OPERATION with type ('a, _) t := 'a Core.t )
end
module Syntax (Core : Preface_specs.Apply.CORE) = struct
type 'a t = 'a Core.t
include (
Indexed_apply.Syntax (struct
type ('a, 'index) t = 'a Core.t
include (Core : Preface_specs.Apply.CORE with type 'a t := 'a Core.t)
end) :
Preface_specs.Indexed_apply.SYNTAX with type ('a, _) t := 'a Core.t )
end
module Infix
(Core : Preface_specs.Apply.CORE)
(Operation : Preface_specs.Apply.OPERATION with type 'a t = 'a Core.t) =
struct
type 'a t = 'a Core.t
include (
Indexed_apply.Infix
(struct
type ('a, 'index) t = 'a Core.t
include (Core : Preface_specs.Apply.CORE with type 'a t := 'a Core.t)
end)
(struct
type ('a, 'index) t = 'a Operation.t
include (
Operation : Preface_specs.Apply.OPERATION with type 'a t := 'a Core.t )
end) :
Preface_specs.Indexed_apply.INFIX with type ('a, _) t := 'a Core.t )
end
module Via
(Core : Preface_specs.Apply.CORE)
(Operation : Preface_specs.Apply.OPERATION with type 'a t = 'a Core.t)
(Infix : Preface_specs.Apply.INFIX with type 'a t = 'a Core.t)
(Syntax : Preface_specs.Apply.SYNTAX with type 'a t = 'a Core.t) =
struct
type 'a t = 'a Core.t
include (
Indexed_apply.Via
(struct
type ('a, 'index) t = 'a Core.t
include (Core : Preface_specs.Apply.CORE with type 'a t := 'a Core.t)
end)
(struct
type ('a, 'index) t = 'a Core.t
include (
Operation : Preface_specs.Apply.OPERATION with type 'a t := 'a Core.t )
end)
(struct
type ('a, 'index) t = 'a Core.t
include (Infix : Preface_specs.Apply.INFIX with type 'a t := 'a Core.t)
end)
(struct
type ('a, 'index) t = 'a Core.t
include (Syntax : Preface_specs.Apply.SYNTAX with type 'a t := 'a Core.t)
end) :
Preface_specs.Indexed_apply.API with type ('a, _) t := 'a Core.t )
end
module Via_map_and_apply (Req : Preface_specs.Apply.WITH_MAP_AND_APPLY) = struct
type 'a t = 'a Req.t
include (
Indexed_apply.Via_map_and_apply (struct
type ('a, 'index) t = 'a Req.t
include (
Req : Preface_specs.Apply.WITH_MAP_AND_APPLY with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_apply.API with type ('a, _) t := 'a Req.t )
end
module Via_map_and_product (Req : Preface_specs.Apply.WITH_MAP_AND_PRODUCT) =
struct
type 'a t = 'a Req.t
include (
Indexed_apply.Via_map_and_product (struct
type ('a, 'index) t = 'a Req.t
include (
Req :
Preface_specs.Apply.WITH_MAP_AND_PRODUCT with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_apply.API with type ('a, _) t := 'a Req.t )
end
module Via_map_and_lift2 (Req : Preface_specs.Apply.WITH_MAP_AND_LIFT2) = struct
type 'a t = 'a Req.t
include (
Indexed_apply.Via_map_and_lift2 (struct
type ('a, 'index) t = 'a Req.t
include (
Req : Preface_specs.Apply.WITH_MAP_AND_LIFT2 with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_apply.API with type ('a, _) t := 'a Req.t )
end
module Over_functor_via_apply
(F : Preface_specs.Functor.WITH_MAP)
(Req : Preface_specs.Apply.WITH_APPLY with type 'a t = 'a F.t) =
struct
type 'a t = 'a Req.t
include (
Indexed_apply.Over_functor_via_apply
(struct
type ('a, 'index) t = 'a F.t
include (F : Preface_specs.Functor.WITH_MAP with type 'a t := 'a F.t)
end)
(struct
type ('a, 'index) t = 'a Req.t
include (Req : Preface_specs.Apply.WITH_APPLY with type 'a t := 'a Req.t)
end) :
Preface_specs.Indexed_apply.API with type ('a, _) t := 'a Req.t )
end
module Over_functor_via_product
(F : Preface_specs.Functor.WITH_MAP)
(Req : Preface_specs.Apply.WITH_PRODUCT with type 'a t = 'a F.t) =
struct
type 'a t = 'a Req.t
include (
Indexed_apply.Over_functor_via_product
(struct
type ('a, 'index) t = 'a F.t
include (F : Preface_specs.Functor.WITH_MAP with type 'a t := 'a F.t)
end)
(struct
type ('a, 'index) t = 'a Req.t
include (
Req : Preface_specs.Apply.WITH_PRODUCT with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_apply.API with type ('a, _) t := 'a Req.t )
end
module Over_functor_via_lift2
(F : Preface_specs.Functor.WITH_MAP)
(Req : Preface_specs.Apply.WITH_LIFT2 with type 'a t = 'a F.t) =
struct
type 'a t = 'a Req.t
include (
Indexed_apply.Over_functor_via_lift2
(struct
type ('a, 'index) t = 'a F.t
include (F : Preface_specs.Functor.WITH_MAP with type 'a t := 'a F.t)
end)
(struct
type ('a, 'index) t = 'a Req.t
include (Req : Preface_specs.Apply.WITH_LIFT2 with type 'a t := 'a Req.t)
end) :
Preface_specs.Indexed_apply.API with type ('a, _) t := 'a Req.t )
end
module From_bind (Bind : Preface_specs.Bind.CORE) = struct
include Via_map_and_product (struct
type 'a t = 'a Bind.t
let map = Bind.map
let product a b = Bind.(bind (fun a -> map (fun b -> (a, b)) b) a)
end)
end
module From_monad (Monad : Preface_specs.MONAD) = struct
include From_bind (Monad)
end
module From_applicative (Applicative : Preface_specs.APPLICATIVE) = Applicative
module From_alternative (Alternative : Preface_specs.ALTERNATIVE) = Alternative
module Composition (F : Preface_specs.APPLY) (G : Preface_specs.APPLY) =
Over_functor_via_apply
(struct
type 'a t = 'a G.t F.t
let map f x = F.map (G.map f) x
end)
(struct
type 'a t = 'a G.t F.t
let apply f x = F.lift2 G.apply f x
end)
module From_arrow (A : Preface_specs.ARROW) =
Over_functor_via_apply
(struct
type 'a t = (unit, 'a) A.t
let map f x = A.(x >>> arrow f)
end)
(struct
type 'a t = (unit, 'a) A.t
let uncurry f (x, y) = f x y
let apply f x = A.(f &&& x >>> arrow (uncurry Fun.id))
end)
module Product (F : Preface_specs.APPLY) (G : Preface_specs.APPLY) =
Over_functor_via_apply
(struct
type 'a t = 'a F.t * 'a G.t
let map f (x, y) = (F.map f x, G.map f y)
end)
(struct
type 'a t = 'a F.t * 'a G.t
let apply (f, g) (x, y) = (F.apply f x, G.apply g y)
end)
module Const (M : Preface_specs.Monoid.CORE) = struct
type 'a t = Const of M.t
include (
Over_functor_via_apply
(struct
type nonrec 'a t = 'a t
let map _f (Const x) = Const x
end)
(struct
type nonrec 'a t = 'a t
let apply (Const f) (Const x) = Const (M.combine f x)
end) :
Preface_specs.APPLY with type 'a t := 'a t )
let get (Const value) = value
end
module Index (F : Preface_specs.APPLY) = struct
type ('a, 'index) t = 'a F.t
include (
Indexed_apply.Via
(struct
type nonrec ('a, 'index) t = ('a, 'index) t
include (F : Preface_specs.Apply.CORE with type 'a t := 'a F.t)
end)
(struct
type nonrec ('a, 'index) t = ('a, 'index) t
include (F : Preface_specs.Apply.OPERATION with type 'a t := 'a F.t)
end)
(struct
type nonrec ('a, 'index) t = ('a, 'index) t
include (F.Infix : Preface_specs.Apply.INFIX with type 'a t := 'a F.t)
end)
(struct
type nonrec ('a, 'index) t = ('a, 'index) t
include (F.Syntax : Preface_specs.Apply.SYNTAX with type 'a t := 'a F.t)
end) :
Preface_specs.INDEXED_APPLY with type ('a, 'index) t := ('a, 'index) t )
end