Applicative (preface.Preface

Using the minimal definition

Using pure and apply

Build a Preface_specs.APPLICATIVE using Preface_specs.Applicative.WITH_APPLY.

Standard method, using the minimal definition of an alt to derive its full API.

module Via_pure_and_apply
  (Req : Preface_specs.Applicative.WITH_PURE_AND_APPLY) : 
  Preface_specs.APPLICATIVE with type 'a t = 'a Req.t

Using pure, map and product

Build a Preface_specs.APPLICATIVE using Preface_specs.Applicative.WITH_MAP_AND_PRODUCT.

Other standard method, using the minimal definition of an alt to derive its full API.

module Via_pure_map_and_product
  (Req : Preface_specs.Applicative.WITH_PURE_MAP_AND_PRODUCT) : 
  Preface_specs.APPLICATIVE with type 'a t = 'a Req.t

Using pure and lift2

Build a Preface_specs.APPLICATIVE using Preface_specs.Applicative.WITH_LIFT2.

Other standard method, using the minimal definition of an alt to derive its full API.

module Via_pure_and_lift2
  (Req : Preface_specs.Applicative.WITH_PURE_AND_LIFT2) : 
  Preface_specs.APPLICATIVE with type 'a t = 'a Req.t

Over an apply

Build a Preface_specs.APPLICATIVE over an Preface_specs.APPLY.

If you already have an Apply, you can enrich it by passing only pure.

module Over_apply
  (Apply : Preface_specs.APPLY)
  (Req : Preface_specs.Applicative.WITH_PURE with type 'a t = 'a Apply.t) : 
  Preface_specs.APPLICATIVE with type 'a t = 'a Req.t

Applicative Algebra

Construction of Preface_specs.APPLICATIVE by combining them.

Composition

Right-to-left composition of Preface_specs.APPLICATIVE.

module Composition
  (F : Preface_specs.APPLICATIVE)
  (G : Preface_specs.APPLICATIVE) : 
  Preface_specs.APPLICATIVE with type 'a t = 'a G.t F.t

Product

Construct the product of two Preface_specs.APPLICATIVE.

module Product
  (F : Preface_specs.APPLICATIVE)
  (G : Preface_specs.APPLICATIVE) : 
  Preface_specs.APPLICATIVE with type 'a t = 'a F.t * 'a G.t

From other abstraction

From a Monad

Produces a Preface_specs.APPLICATIVE from a Preface_specs.MONAD.

module From_monad
  (Monad : Preface_specs.MONAD) : 
  Preface_specs.APPLICATIVE with type 'a t = 'a Monad.t

From an Alternative

Produces a Preface_specs.APPLICATIVE from an Preface_specs.ALTERNATIVE.

module From_alternative
  (Alternative : Preface_specs.ALTERNATIVE) : 
  Preface_specs.APPLICATIVE with type 'a t = 'a Alternative.t

From an Arrow

Produces a Preface_specs.APPLICATIVE from an Preface_specs.ARROW.

module From_arrow
  (A : Preface_specs.ARROW) : 
  Preface_specs.APPLICATIVE with type 'a t = (unit, 'a) A.t

From a Monoid

Produces a Preface_specs.APPLICATIVE from a Preface_specs.MONOID. This Applicative is called Const or a phantom monoid.

module Const (M : Preface_specs.Monoid.CORE) : sig ... end

To other abstraction

To an Indexed Applicative

module Index
  (F : Preface_specs.APPLICATIVE) : 
  Preface_specs.INDEXED_APPLICATIVE with type ('a, 'index) t = 'a F.t

Manual construction

Advanced way to build an Preface_specs.APPLICATIVE, constructing and assembling a component-by-component of Preface_specs.APPLICATIVE. (In order to provide your own implementation for some features.)

Grouping of all components

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) : 
  Preface_specs.APPLICATIVE with type 'a t = 'a Core.t

Building Core

module Core_via_pure_map_and_product
  (Req : Preface_specs.Applicative.WITH_PURE_MAP_AND_PRODUCT) : 
  Preface_specs.Applicative.CORE with type 'a t = 'a Req.t

module Core_via_pure_and_apply
  (Req : Preface_specs.Applicative.WITH_PURE_AND_APPLY) : 
  Preface_specs.Applicative.CORE with type 'a t = 'a Req.t

module Core_via_pure_and_lift2
  (Req : Preface_specs.Applicative.WITH_PURE_AND_LIFT2) : 
  Preface_specs.Applicative.CORE with type 'a t = 'a Req.t

Deriving Operation

module Operation
  (Core : Preface_specs.Applicative.CORE) : 
  Preface_specs.Applicative.OPERATION with type 'a t = 'a Core.t

Deriving Syntax

module Syntax
  (Core : Preface_specs.Applicative.CORE) : 
  Preface_specs.Applicative.SYNTAX with type 'a t = 'a Core.t

Deriving Infix

module Infix
  (Core : Preface_specs.Applicative.CORE)
  (Operation : Preface_specs.Applicative.OPERATION with type 'a t = 'a Core.t) : 
  Preface_specs.Applicative.INFIX with type 'a t = 'a Core.t