Source file indexed_apply.ml
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open Preface_core.Fun
module Core_via_map_and_apply
(Req : Preface_specs.Indexed_apply.WITH_MAP_AND_APPLY) =
struct
include Req
let product a b = apply (map (fun a b -> (a, b)) a) b
let lift2 f x y = apply (map f x) y
end
module Core_over_functor_via_apply
(Functor : Preface_specs.Indexed_functor.WITH_MAP)
(Req : Preface_specs.Indexed_apply.WITH_APPLY
with type ('a, 'index) t = ('a, 'index) Functor.t) =
struct
include Core_via_map_and_apply (struct
include Functor
include Req
end)
end
module Core_via_map_and_product
(Req : Preface_specs.Indexed_apply.WITH_MAP_AND_PRODUCT) =
struct
include Req
let apply f a = map (fun (f, a) -> f a) @@ product f a
let lift2 f x y = apply (map f x) y
end
module Core_over_functor_via_product
(Functor : Preface_specs.Indexed_functor.WITH_MAP)
(Req : Preface_specs.Indexed_apply.WITH_PRODUCT
with type ('a, 'index) t = ('a, 'index) Functor.t) =
struct
include Core_via_map_and_product (struct
include Functor
include Req
end)
end
module Core_via_map_and_lift2
(Req : Preface_specs.Indexed_apply.WITH_MAP_AND_LIFT2) =
struct
include Req
let apply f a = lift2 (fun x -> x) f a
let product a b = apply (map (fun a b -> (a, b)) a) b
end
module Core_over_functor_via_lift2
(Functor : Preface_specs.Indexed_functor.WITH_MAP)
(Req : Preface_specs.Indexed_apply.WITH_LIFT2
with type ('a, 'index) t = ('a, 'index) Functor.t) =
struct
include Core_via_map_and_lift2 (struct
include Functor
include Req
end)
end
module Operation (Core : Preface_specs.Indexed_apply.CORE) = struct
include Indexed_functor.Operation (Core)
let lift = Core.map
let lift3 f a b = Core.(apply @@ apply (Core.map f a) b)
end
module Syntax (Core : Preface_specs.Indexed_apply.CORE) = struct
type ('a, 'index) t = ('a, 'index) Core.t
let ( let+ ) x f = Core.map f x
let ( and+ ) = Core.product
end
module Infix
(Core : Preface_specs.Indexed_apply.CORE)
(Operation : Preface_specs.Indexed_apply.OPERATION
with type ('a, 'index) t = ('a, 'index) Core.t) =
struct
include Indexed_functor.Infix (Core) (Operation)
let ( <*> ) = Core.apply
let ( <**> ) a b = Core.lift2 (fun x f -> f x) a b
let ( *> ) a b = Core.lift2 (flip const) a b
let ( <* ) a b = Core.lift2 const a b
end
module Via
(Core : Preface_specs.Indexed_apply.CORE)
(Operation : Preface_specs.Indexed_apply.OPERATION)
(Infix : Preface_specs.Indexed_apply.INFIX)
(Syntax : Preface_specs.Indexed_apply.SYNTAX) =
struct
include Core
include Operation
include Syntax
include Infix
module Infix = Infix
module Syntax = Syntax
end
module Via_map_and_apply (Req : Preface_specs.Indexed_apply.WITH_MAP_AND_APPLY) =
struct
module Core = Core_via_map_and_apply (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_product
(Req : Preface_specs.Indexed_apply.WITH_MAP_AND_PRODUCT) =
struct
module Core = Core_via_map_and_product (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_lift2 (Req : Preface_specs.Indexed_apply.WITH_MAP_AND_LIFT2) =
struct
module Core = Core_via_map_and_lift2 (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_apply
(Functor : Preface_specs.Indexed_functor.WITH_MAP)
(Req : Preface_specs.Indexed_apply.WITH_APPLY
with type ('a, 'index) t = ('a, 'index) Functor.t) =
struct
module Core = Core_over_functor_via_apply (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_product
(Functor : Preface_specs.Indexed_functor.WITH_MAP)
(Req : Preface_specs.Indexed_apply.WITH_PRODUCT
with type ('a, 'index) t = ('a, 'index) Functor.t) =
struct
module Core = Core_over_functor_via_product (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_lift2
(Functor : Preface_specs.Indexed_functor.WITH_MAP)
(Req : Preface_specs.Indexed_apply.WITH_LIFT2
with type ('a, 'index) t = ('a, 'index) Functor.t) =
struct
module Core = Core_over_functor_via_lift2 (Functor) (Req)
module Operation = Operation (Core)
module Syntax = Syntax (Core)
module Infix = Infix (Core) (Operation)
include Core
include Operation
include Syntax
include Infix
end