Source file applicative.ml
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module Core_via_pure_map_and_product
(Req : Preface_specs.Applicative.WITH_PURE_MAP_AND_PRODUCT) =
struct
type 'a t = 'a Req.t
include (
Indexed_applicative.Core_via_pure_map_and_product (struct
type ('a, 'index) t = 'a Req.t
include (
Req :
Preface_specs.Applicative.WITH_PURE_MAP_AND_PRODUCT
with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_applicative.CORE with type ('a, _) t := 'a Req.t )
end
module Core_via_pure_and_apply
(Req : Preface_specs.Applicative.WITH_PURE_AND_APPLY) =
struct
type 'a t = 'a Req.t
include (
Indexed_applicative.Core_via_pure_and_apply (struct
type ('a, 'index) t = 'a Req.t
include (
Req :
Preface_specs.Applicative.WITH_PURE_AND_APPLY
with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_applicative.CORE with type ('a, _) t := 'a Req.t )
end
module Core_via_pure_and_lift2
(Req : Preface_specs.Applicative.WITH_PURE_AND_LIFT2) =
struct
type 'a t = 'a Req.t
include (
Indexed_applicative.Core_via_pure_and_lift2 (struct
type ('a, 'index) t = 'a Req.t
include (
Req :
Preface_specs.Applicative.WITH_PURE_AND_LIFT2
with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_applicative.CORE with type ('a, _) t := 'a Req.t )
end
module Operation (Core : Preface_specs.Applicative.CORE) = struct
type 'a t = 'a Core.t
include (
Indexed_applicative.Operation (struct
type ('a, 'index) t = 'a Core.t
include (Core : Preface_specs.Applicative.CORE with type 'a t := 'a Core.t)
end) :
Preface_specs.Indexed_applicative.OPERATION
with type ('a, _) t := 'a Core.t )
end
module Syntax (Core : Preface_specs.Applicative.CORE) = struct
type 'a t = 'a Core.t
include (
Indexed_applicative.Syntax (struct
type ('a, 'index) t = 'a Core.t
include (Core : Preface_specs.Applicative.CORE with type 'a t := 'a Core.t)
end) :
Preface_specs.Indexed_applicative.SYNTAX with type ('a, _) t := 'a Core.t )
end
module Infix
(Core : Preface_specs.Applicative.CORE)
(Operation : Preface_specs.Applicative.OPERATION with type 'a t = 'a Core.t) =
struct
type 'a t = 'a Core.t
include (
Indexed_applicative.Infix
(struct
type ('a, 'index) t = 'a Core.t
include (
Core : Preface_specs.Applicative.CORE with type 'a t := 'a Core.t )
end)
(struct
type ('a, 'index) t = 'a Core.t
include (
Operation :
Preface_specs.Applicative.OPERATION with type 'a t := 'a Operation.t )
end) :
Preface_specs.Indexed_applicative.INFIX with type ('a, _) t := 'a Core.t )
end
module Via
(Core : Preface_specs.Applicative.CORE)
(Operation : Preface_specs.Applicative.OPERATION with type 'a t = 'a Core.t)
(Infix : Preface_specs.Applicative.INFIX with type 'a t = 'a Core.t)
(Syntax : Preface_specs.Applicative.SYNTAX with type 'a t = 'a Core.t) =
struct
type 'a t = 'a Core.t
include (
Indexed_applicative.Via
(struct
type ('a, 'index) t = 'a Core.t
include (
Core : Preface_specs.Applicative.CORE with type 'a t := 'a Core.t )
end)
(struct
type ('a, 'index) t = 'a Core.t
include (
Operation :
Preface_specs.Applicative.OPERATION with type 'a t := 'a Core.t )
end)
(struct
type ('a, 'index) t = 'a Core.t
include (
Infix : Preface_specs.Applicative.INFIX with type 'a t := 'a Core.t )
end)
(struct
type ('a, 'index) t = 'a Core.t
include (
Syntax : Preface_specs.Applicative.SYNTAX with type 'a t := 'a Core.t )
end) :
Preface_specs.Indexed_applicative.API with type ('a, _) t := 'a Core.t )
end
module Via_pure_map_and_product
(Req : Preface_specs.Applicative.WITH_PURE_MAP_AND_PRODUCT) =
struct
type 'a t = 'a Req.t
include (
Indexed_applicative.Via_pure_map_and_product (struct
type ('a, 'index) t = 'a Req.t
include (
Req :
Preface_specs.Applicative.WITH_PURE_MAP_AND_PRODUCT
with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_applicative.API with type ('a, _) t := 'a Req.t )
end
module Via_pure_and_apply (Req : Preface_specs.Applicative.WITH_PURE_AND_APPLY) =
struct
type 'a t = 'a Req.t
include (
Indexed_applicative.Via_pure_and_apply (struct
type ('a, 'index) t = 'a Req.t
include (
Req :
Preface_specs.Applicative.WITH_PURE_AND_APPLY
with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_applicative.API with type ('a, _) t := 'a Req.t )
end
module Via_pure_and_lift2 (Req : Preface_specs.Applicative.WITH_PURE_AND_LIFT2) =
struct
type 'a t = 'a Req.t
include (
Indexed_applicative.Via_pure_and_lift2 (struct
type ('a, 'index) t = 'a Req.t
include (
Req :
Preface_specs.Applicative.WITH_PURE_AND_LIFT2
with type 'a t := 'a Req.t )
end) :
Preface_specs.Indexed_applicative.API with type ('a, _) t := 'a Req.t )
end
module From_monad (Monad : Preface_specs.MONAD) = struct
include Via_pure_and_apply (struct
type 'a t = 'a Monad.t
let pure = Monad.return
let apply fs xs =
let open Monad.Syntax in
let* f = fs in
let* x = xs in
pure (f x)
;;
end)
end
module From_alternative (Alternative : Preface_specs.ALTERNATIVE) = Alternative
module Over_apply
(Apply : Preface_specs.APPLY)
(Req : Preface_specs.Applicative.WITH_PURE with type 'a t = 'a Apply.t) =
struct
include Via_pure_and_apply (struct
type 'a t = 'a Apply.t
let pure = Req.pure
let apply = Apply.apply
end)
end
module Composition
(F : Preface_specs.APPLICATIVE)
(G : Preface_specs.APPLICATIVE) =
Via_pure_and_apply (struct
type 'a t = 'a G.t F.t
let pure x = F.pure (G.pure x)
let apply f x = F.lift2 G.apply f x
end)
module From_arrow (A : Preface_specs.ARROW) = Via_pure_and_apply (struct
type 'a t = (unit, 'a) A.t
let pure x = A.arrow (fun _ -> x)
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.APPLICATIVE) (G : Preface_specs.APPLICATIVE) =
Via_pure_and_apply (struct
type 'a t = 'a F.t * 'a G.t
let pure x = (F.pure x, G.pure x)
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 (
Via_pure_and_apply (struct
type nonrec 'a t = 'a t
let pure _ = Const M.neutral
let apply (Const f) (Const x) = Const (M.combine f x)
end) :
Preface_specs.APPLICATIVE with type 'a t := 'a t )
let get (Const value) = value
end
module Index (F : Preface_specs.APPLICATIVE) = struct
type ('a, 'index) t = 'a F.t
include (
Indexed_applicative.Via
(struct
type nonrec ('a, 'index) t = ('a, 'index) t
include (F : Preface_specs.Applicative.CORE with type 'a t := 'a F.t)
end)
(struct
type nonrec ('a, 'index) t = ('a, 'index) t
include (
F : Preface_specs.Applicative.OPERATION with type 'a t := 'a F.t )
end)
(struct
type nonrec ('a, 'index) t = ('a, 'index) t
include (
F.Infix : Preface_specs.Applicative.INFIX with type 'a t := 'a F.t )
end)
(struct
type nonrec ('a, 'index) t = ('a, 'index) t
include (
F.Syntax : Preface_specs.Applicative.SYNTAX with type 'a t := 'a F.t )
end) :
Preface_specs.INDEXED_APPLICATIVE
with type ('a, 'index) t := ('a, 'index) t )
end