Source file indexed_comonad.ml
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open QCheck2
module Suite
(R : Model.COVARIANT_2)
(F : Preface_specs.INDEXED_COMONAD
with type ('a, 'index) t = ('a, 'index) R.t)
(A : Model.T0)
(B : Model.T0)
(C : Model.T0)
(D : Model.T0)
(Index : Model.T0) =
struct
module Functor = Indexed_functor.Suite (R) (F) (A) (B) (C) (Index)
module Laws = Preface_laws.Indexed_comonad.For (F)
let print pp = Format.asprintf "%a" (R.pp pp Index.pp)
let comonad_1 count =
let generator = R.generator A.generator Index.generator in
let print = print A.pp in
Util.test ~count ~print generator Laws.comonad_1 (fun lhs rhs x ->
let left = lhs x
and right = rhs x in
R.equal A.equal Index.equal left right )
;;
let comonad_2 count =
let generator =
Gen.tup2
(fun1 (R.observable A.observable Index.observable) B.generator)
(R.generator A.generator Index.generator)
in
let print (_, x) = print A.pp x in
Util.test ~count ~print generator Laws.comonad_2 (fun lhs rhs (ff, x) ->
let f = Fn.apply ff in
let left = lhs f x
and right = rhs f x in
B.equal left right )
;;
let comonad_3 count =
let generator =
Gen.tup3
(fun1 (R.observable A.observable Index.observable) B.generator)
(fun1 (R.observable C.observable Index.observable) A.generator)
(R.generator C.generator Index.generator)
in
let print (_, _, x) = print C.pp x in
Util.test ~count ~print generator Laws.comonad_3 (fun lhs rhs (ff, gg, x) ->
let f = Fn.apply ff
and g = Fn.apply gg in
let left = lhs f g x
and right = rhs f g x in
R.equal B.equal Index.equal left right )
;;
let comonad_4 count =
let generator =
Gen.tup2
(fun1 (R.observable A.observable Index.observable) B.generator)
(R.generator A.generator Index.generator)
in
let print (_, x) = print A.pp x in
Util.test ~count ~print generator Laws.comonad_4 (fun lhs rhs (ff, x) ->
let f = Fn.apply ff in
let left = lhs f x
and right = rhs f x in
B.equal left right )
;;
let comonad_5 count =
let generator =
Gen.tup2
(fun1 (R.observable A.observable Index.observable) B.generator)
(R.generator A.generator Index.generator)
in
let print (_, x) = print A.pp x in
Util.test ~count ~print generator Laws.comonad_5 (fun lhs rhs (ff, x) ->
let f = Fn.apply ff in
let left = lhs f x
and right = rhs f x in
B.equal left right )
;;
let comonad_6 count =
let generator =
Gen.tup4
(fun1 (R.observable A.observable Index.observable) B.generator)
(fun1 (R.observable B.observable Index.observable) C.generator)
(fun1 (R.observable C.observable Index.observable) D.generator)
(R.generator A.generator Index.generator)
in
let print (_, _, _, x) = print A.pp x in
Util.test ~count ~print generator Laws.comonad_6
(fun lhs rhs (ff, gg, hh, x) ->
let f = Fn.apply ff
and g = Fn.apply gg
and h = Fn.apply hh in
let left = lhs f g h x
and right = rhs f g h x in
D.equal left right )
;;
let comonad_7 count =
let generator = R.generator A.generator Index.generator in
let print = print A.pp in
Util.test ~count ~print generator Laws.comonad_7 (fun lhs rhs x ->
let left = lhs x
and right = rhs x in
R.equal A.equal Index.equal left right )
;;
let comonad_8 count =
let generator = R.generator A.generator Index.generator in
let print = print A.pp in
Util.test ~count ~print generator Laws.comonad_8 (fun lhs rhs x ->
let left = lhs x
and right = rhs x in
R.equal A.equal Index.equal left right )
;;
let comonad_9 count =
let generator = R.generator A.generator Index.generator in
let print = print A.pp in
Util.test ~count ~print generator Laws.comonad_9 (fun lhs rhs x ->
let left = lhs x
and right = rhs x in
R.equal
(R.equal (R.equal A.equal Index.equal) Index.equal)
Index.equal left right )
;;
let comonad_10 count =
let generator =
Gen.tup2
(fun1 (R.observable A.observable Index.observable) B.generator)
(R.generator A.generator Index.generator)
in
let print (_, x) = print A.pp x in
Util.test ~count ~print generator Laws.comonad_10 (fun lhs rhs (ff, x) ->
let f = Fn.apply ff in
let left = lhs f x
and right = rhs f x in
R.equal B.equal Index.equal left right )
;;
let comonad_11 count =
let generator = R.generator A.generator Index.generator in
let print = print A.pp in
Util.test ~count ~print generator Laws.comonad_11 (fun lhs rhs x ->
let left = lhs x
and right = rhs x in
R.equal (R.equal A.equal Index.equal) Index.equal left right )
;;
let comonad_12 count =
let generator =
Gen.tup2
(fun1 A.observable B.generator)
(R.generator A.generator Index.generator)
in
let print (_, x) = print A.pp x in
Util.test ~count ~print generator Laws.comonad_12 (fun lhs rhs (ff, x) ->
let f = Fn.apply ff in
let left = lhs f x
and right = rhs f x in
R.equal B.equal Index.equal left right )
;;
let tests ~count =
Functor.tests ~count
@ [
comonad_1 count
; comonad_2 count
; comonad_3 count
; comonad_4 count
; comonad_5 count
; comonad_6 count
; comonad_7 count
; comonad_8 count
; comonad_9 count
; comonad_10 count
; comonad_11 count
; comonad_12 count
]
;;
end