package preface

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Source file divisible.ml

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open Preface_core.Fun

module Core_via_divide_and_conquer
    (Req : Preface_specs.Divisible.WITH_DIVIDE_AND_CONQUER) =
struct
  include Req

  let contramap f x = (divide ((fun x -> ((), x)) % f) conquer) x
end

module Core_via_contramap_and_divide_and_conquer
    (Req : Preface_specs.Divisible.WITH_CONTRAMAP_AND_DIVIDE_AND_CONQUER) =
  Req

module Operation (Core : Preface_specs.Divisible.CORE) = struct
  include Contravariant.Operation (Core)

  let divided x = Core.divide id x
  let conquered = Core.conquer
end

module Infix
    (Core : Preface_specs.Divisible.CORE)
    (Operation : Preface_specs.Divisible.OPERATION with type 'a t = 'a Core.t) =
struct
  include Contravariant.Infix (Core) (Operation)

  let ( >*< ) = Operation.divided
  let ( ^*^ ) = Operation.divided
  let ( >* ) x = Core.divide (fun x -> (x, ())) x
  let ( ^* ) = ( >* )
  let ( *< ) x y = Core.divide (fun x -> ((), x)) x y
  let ( &* ) = ( *< )
end

module Via
    (Core : Preface_specs.Divisible.CORE)
    (Operation : Preface_specs.Divisible.OPERATION)
    (Infix : Preface_specs.Divisible.INFIX) =
struct
  include Core
  include Operation
  include Infix
  module Infix = Infix
end

module Via_divide_and_conquer
    (Req : Preface_specs.Divisible.WITH_DIVIDE_AND_CONQUER) =
struct
  module Core = Core_via_divide_and_conquer (Req)
  include Core
  module Operation = Operation (Core)
  include Operation
  module Infix = Infix (Core) (Operation)
  include Infix
end

module Via_contramap_and_divide_and_conquer
    (Req : Preface_specs.Divisible.WITH_CONTRAMAP_AND_DIVIDE_AND_CONQUER) =
struct
  module Core = Core_via_contramap_and_divide_and_conquer (Req)
  include Core
  module Operation = Operation (Core)
  include Operation
  module Infix = Infix (Core) (Operation)
  include Infix
end

module Over_contravariant
    (Contravariant : Preface_specs.Contravariant.CORE)
    (Req : Preface_specs.Divisible.WITH_DIVIDE_AND_CONQUER
             with type 'a t = 'a Contravariant.t) =
Via_contramap_and_divide_and_conquer (struct
  include Req

  let contramap = Contravariant.contramap
end)
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