(* Polymorphic methods are now available in the main branch. Enjoy. *) (* Tests for explicit polymorphism *) open StdLabels;; type 'a t = { t : 'a };; type 'a fold = { fold : 'b. f:('b -> 'a -> 'b) -> init:'b -> 'b };; let f l = { fold = List.fold_left l };; (f [1;2;3]).fold ~f:(+) ~init:0;; class ['b] ilist l = object val l = l method add x = {< l = x :: l >} method fold : 'a. f:('a -> 'b -> 'a) -> init:'a -> 'a = List.fold_left l end ;; class virtual ['a] vlist = object (_ : 'self) method virtual add : 'a -> 'self method virtual fold : 'b. f:('b -> 'a -> 'b) -> init:'b -> 'b end ;; class ilist2 l = object inherit [int] vlist val l = l method add x = {< l = x :: l >} method fold = List.fold_left l end ;; let ilist2 l = object inherit [_] vlist val l = l method add x = {< l = x :: l >} method fold = List.fold_left l end ;; class ['a] ilist3 l = object inherit ['a] vlist val l = l method add x = {< l = x :: l >} method fold = List.fold_left l end ;; class ['a] ilist4 (l : 'a list) = object val l = l method virtual add : _ method add x = {< l = x :: l >} method virtual fold : 'b. f:('b -> 'a -> 'b) -> init:'b -> 'b method fold = List.fold_left l end ;; class ['a] ilist5 (l : 'a list) = object (self) val l = l method add x = {< l = x :: l >} method virtual fold : 'b. f:('b -> 'a -> 'b) -> init:'b -> 'b method virtual fold2 : 'b. f:('b -> 'a -> 'b) -> init:'b -> 'b method fold2 ~f ~init = self#fold ~f ~init:(self#fold ~f ~init) method fold = List.fold_left l end ;; class ['a] ilist6 l = object (self) inherit ['a] vlist val l = l method add x = {< l = x :: l >} method virtual fold2 : 'b. f:('b -> 'a -> 'b) -> init:'b -> 'b method fold2 ~f ~init = self#fold ~f ~init:(self#fold ~f ~init) method fold = List.fold_left l end ;; class virtual ['a] olist = object method virtual fold : 'c. f:('a -> 'c -> 'c) -> init:'c -> 'c end ;; class ['a] onil = object inherit ['a] olist method fold ~f ~init = init end ;; class ['a] ocons ~hd ~tl = object (_ : 'b) inherit ['a] olist val hd : 'a = hd val tl : 'a olist = tl method fold ~f ~init = f hd (tl#fold ~f ~init) end ;; class ['a] ostream ~hd ~tl = object (_ : 'b) inherit ['a] olist val hd : 'a = hd val tl : _ #olist = (tl : 'a ostream) method fold ~f ~init = f hd (tl#fold ~f ~init) method empty = false end ;; class ['a] ostream1 ~hd ~tl = object (self : 'b) inherit ['a] olist val hd = hd val tl : 'b = tl method hd = hd method tl = tl method fold ~f ~init = self#tl#fold ~f ~init:(f self#hd init) end ;; class vari = object method virtual m : 'a. ([< `A|`B|`C] as 'a) -> int method m = function `A -> 1 | `B|`C -> 0 end ;; class vari = object method m : 'a. ([< `A|`B|`C] as 'a) -> int = function `A -> 1 | `B|`C -> 0 end ;; module V = struct type v = [`A | `B | `C] let m : [< v] -> int = function `A -> 1 | #v -> 0 end ;; class varj = object method virtual m : 'a. ([< V.v] as 'a) -> int method m = V.m end ;; module type T = sig class vari : object method m : 'a. ([< `A | `B | `C] as 'a) -> int end end ;; module M0 = struct class vari = object method virtual m : 'a. ([< `A|`B|`C] as 'a) -> int method m = function `A -> 1 | `B|`C -> 0 end end ;; module M : T = M0 ;; let v = new M.vari;; v#m `A;; class point ~x ~y = object val x : int = x val y : int = y method x = x method y = y end ;; class color_point ~x ~y ~color = object inherit point ~x ~y val color : string = color method color = color end ;; class circle (p : #point) ~r = object val p = (p :> point) val r = r method virtual distance : 'a. (#point as 'a) -> float method distance p' = let dx = p#x - p'#x and dy = p#y - p'#y in let d = sqrt (float (dx * dx + dy * dy)) -. float r in if d < 0. then 0. else d end ;; let p0 = new point ~x:3 ~y:5 let p1 = new point ~x:10 ~y:13 let cp = new color_point ~x:12 ~y:(-5) ~color:"green" let c = new circle p0 ~r:2 let d = floor (c#distance cp) ;; let f (x : < m : 'a. 'a -> 'a >) = (x : < m : 'b. 'b -> 'b >) ;; let f (x : < m : 'a. 'a -> 'a list >) = (x : < m : 'b. 'b -> 'c >) ;; class id = object method virtual id : 'a. 'a -> 'a method id x = x end ;; class type id_spec = object method id : 'a -> 'a end ;; class id_impl = object (_ : #id_spec) method id x = x end ;; class a = object method m = (new b : id_spec)#id true end and b = object (_ : #id_spec) method id x = x end ;; class ['a] id1 = object method virtual id : 'b. 'b -> 'a method id x = x end ;; class id2 (x : 'a) = object method virtual id : 'b. 'b -> 'a method id x = x end ;; class id3 x = object val x = x method virtual id : 'a. 'a -> 'a method id _ = x end ;; class id4 () = object val mutable r = None method virtual id : 'a. 'a -> 'a method id x = match r with None -> r <- Some x; x | Some y -> y end ;; class c = object method virtual m : 'a 'b. 'a -> 'b -> 'a method m x y = x end ;; let f1 (f : id) = f#id 1, f#id true ;; let f2 f = (f : id)#id 1, (f : id)#id true ;; let f3 f = f#id 1, f#id true ;; let f4 f = ignore(f : id); f#id 1, f#id true ;; class c = object method virtual m : 'a. (#id as 'a) -> int * bool method m (f : #id) = f#id 1, f#id true end ;; class id2 = object (_ : 'b) method virtual id : 'a. 'a -> 'a method id x = x method mono (x : int) = x end ;; let app = new c #m (new id2) ;; type 'a foo = 'a foo list ;; class ['a] bar (x : 'a) = object end ;; type 'a foo = 'a foo bar ;; fun x -> (x : < m : 'a. 'a * 'b > as 'b)#m;; fun x -> (x : < m : 'a. 'b * 'a list> as 'b)#m;; let f x = (x : < m : 'a. 'b * (< n : 'a; .. > as 'a) > as 'b)#m;; fun (x : < p : 'a. < m : 'a ; n : 'b ; .. > as 'a > as 'b) -> x#p;; fun (x : <m:'a. 'a * <p:'b. 'b * 'c * 'd> as 'c> as 'd) -> x#m;; (* printer is wrong on the next (no official syntax) *) fun (x : <m:'a.<p:'a;..> >) -> x#m;; type sum = T of < id: 'a. 'a -> 'a > ;; fun (T x) -> x#id;; type record = { r: < id: 'a. 'a -> 'a > } ;; fun x -> x.r#id;; fun {r=x} -> x#id;; class myself = object (self) method self : 'a. 'a -> 'b = fun _ -> self end;; class number = object (self : 'self) val num = 0 method num = num method succ = {< num = num + 1 >} method prev = self#switch ~zero:(fun () -> failwith "zero") ~prev:(fun x -> x) method switch : 'a. zero:(unit -> 'a) -> prev:('self -> 'a) -> 'a = fun ~zero ~prev -> if num = 0 then zero () else prev {< num = num - 1 >} end ;; let id x = x ;; class c = object method id : 'a. 'a -> 'a = id end ;; class c' = object inherit c method id = id end ;; class d = object inherit c as c val mutable count = 0 method id x = count <- count+1; x method count = count method old : 'a. 'a -> 'a = c#id end ;; class ['a] olist l = object val l = l method fold : 'b. f:('a -> 'b -> 'b) -> init:'b -> 'b = List.fold_right l method cons a = {< l = a :: l >} end ;; let sum (l : 'a #olist) = l#fold ~f:(fun x acc -> x+acc) ~init:0 ;; let count (l : 'a #olist) = l#fold ~f:(fun _ acc -> acc+1) ~init:0 ;; let append (l : 'a #olist) (l' : 'b #olist) = l#fold ~init:l' ~f:(fun x acc -> acc#cons x) ;; type 'a t = unit ;; class o = object method x : 'a. ([> `A] as 'a) t -> unit = fun _ -> () end ;; class c = object method m = new d () end and d ?(x=0) () = object end;; class d ?(x=0) () = object end and c = object method m = new d () end;; class type numeral = object method fold : ('a -> 'a) -> 'a -> 'a end class zero = object (_ : #numeral) method fold f x = x end class next (n : #numeral) = object (_ : #numeral) method fold f x = n#fold f (f x) end ;; class type node_type = object method as_variant : [> `Node of node_type] end;; class node : node_type = object (self) method as_variant : 'a. [> `Node of node_type] as 'a = `Node (self :> node_type) end;; class node = object (self : #node_type) method as_variant = `Node (self :> node_type) end;; type bad = {bad : 'a. 'a option ref};; let bad = {bad = ref None};; type bad2 = {mutable bad2 : 'a. 'a option ref option};; let bad2 = {bad2 = None};; bad2.bad2 <- Some (ref None);; (* Type variable scope *) let f (x: <m:'a.<p: 'a * 'b> as 'b>) (y : 'b) = ();; let f (x: <m:'a. 'a * (<p:int*'b> as 'b)>) (y : 'b) = ();; (* PR#1374 *) type 'a t= [`A of 'a];; class c = object (self) method m : 'a. ([> 'a t] as 'a) -> unit = fun x -> self#m x end;; class c = object (self) method m : 'a. ([> 'a t] as 'a) -> unit = function | `A x' -> self#m x' | _ -> failwith "c#m" end;; class c = object (self) method m : 'a. ([> 'a t] as 'a) -> 'a = fun x -> self#m x end;; (* usage avant instance *) class c = object method m : 'a. 'a option -> ([> `A] as 'a) = fun x -> `A end;; (* various old bugs *) class virtual ['a] visitor = object method virtual caseNil : 'a end and virtual int_list = object method virtual visit : 'a.('a visitor -> 'a) end;; type ('a,'b) list_visitor = < caseNil : 'a; caseCons : 'b -> 'b list -> 'a > type 'b alist = < visit : 'a. ('a,'b) list_visitor -> 'a > (* PR#1607 *) class type ct = object ('s) method fold : ('b -> 's -> 'b) -> 'b -> 'b end type t = {f : 'a 'b. ('b -> (#ct as 'a) -> 'b) -> 'b};; (* PR#1663 *) type t = u and u = t;; (* PR#1731 *) class ['t] a = object constraint 't = [> `A of 't a] end type t = [ `A of t a ];; (* Wrong in 3.06 *) type ('a,'b) t constraint 'a = 'b and ('a,'b) u = ('a,'b) t;; (* Full polymorphism if we do not expand *) type 'a t = 'a and u = int t;; (* Loose polymorphism if we expand *) type 'a t constraint 'a = int;; type 'a u = 'a and 'a v = 'a u t;; type 'a u = 'a and 'a v = 'a u t constraint 'a = int;; (* Behaviour is unstable *) type g = int;; type 'a t = unit constraint 'a = g;; type 'a u = 'a and 'a v = 'a u t;; type 'a u = 'a and 'a v = 'a u t constraint 'a = int;; (* Example of wrong expansion *) type 'a u = < m : 'a v > and 'a v = 'a list u;; (* PR#1744: Ctype.matches *) type 'a t = 'a type 'a u = A of 'a t;; (* Unification of cyclic terms *) type 'a t = < a : 'a >;; fun (x : 'a t as 'a) -> (x : 'b t);; type u = 'a t as 'a;; (* Variant tests *) type t = A | B;; function `A,_ -> 1 | _,A -> 2 | _,B -> 3;; function `A,_ -> 1 | _,(A|B) -> 2;; function Some `A, _ -> 1 | Some _, A -> 2 | None, A -> 3 | _, B -> 4;; function Some `A, A -> 1 | Some `A, B -> 1 | Some _, A -> 2 | None, A -> 3 | _, B -> 4;; function A, `A -> 1 | A, `B -> 2 | B, _ -> 3;; function `A, A -> 1 | `B, A -> 2 | _, B -> 3;; function (`A|`B), _ -> 0 | _,(`A|`B) -> 1;; function `B,1 -> 1 | _,1 -> 2;; function 1,`B -> 1 | 1,_ -> 2;; (* pass typetexp, but fails during Typedecl.check_recursion *) type ('a, 'b) a = 'a -> unit constraint 'a = [> `B of ('a, 'b) b as 'b] and ('a, 'b) b = 'b -> unit constraint 'b = [> `A of ('a, 'b) a as 'a];; (* PR#1917: expanding may change original in Ctype.unify2 *) (* Note: since 3.11, the abbreviations are not used when printing a type where they occur recursively inside. *) class type ['a, 'b] a = object method b: ('a, 'b) #b as 'b method as_a: ('a, 'b) a end and ['a, 'b] b = object method a: ('a, 'b) #a as 'a method as_b: ('a, 'b) b end class type ['b] ca = object ('s) inherit ['s, 'b] a end class type ['a] cb = object ('s) inherit ['a, 's] b end type bt = 'b ca cb as 'b ;; (* final classes, etc... *) class c = object method m = 1 end;; let f () = object (self:c) method m = 1 end;; let f () = object (self:c) method private n = 1 method m = self#n end;; let f () = object method private n = 1 method m = {<>}#n end;; let f () = object (self:c) method n = 1 method m = 2 end;; let f () = object (_:'s) constraint 's = < n : int > method m = 1 end;; class c = object (_ : 's) method x = 1 method private m = object (self: 's) method x = 3 method private m = self end end;; let o = object (_ : 's) method x = 1 method private m = object (self: 's) method x = 3 method private m = self end end;; (* Unsound! *) fun (x : <m : 'a. 'a * <m: 'b. 'a * 'foo> > as 'foo) -> (x : <m : 'a. 'a * (<m:'b. 'a * <m:'c. 'c * 'bar> > as 'bar) >);; type 'a foo = <m: 'b. 'a * 'a foo> type foo' = <m: 'a. 'a * 'a foo> type 'a bar = <m: 'b. 'a * <m: 'c. 'c * 'a bar> > type bar' = <m: 'a. 'a * 'a bar > let f (x : foo') = (x : bar');; fun (x : <m : 'a. 'a * ('a * <m : 'a. 'a * 'foo> as 'foo)>) -> (x : <m : 'b. 'b * ('b * <m : 'c. 'c * ('c * 'bar)>)> as 'bar);; fun (x : <m : 'a. 'a * ('a * <m : 'a. 'a * 'foo> as 'foo)>) -> (x : <m : 'b. 'b * ('b * <m : 'c. 'c * ('b * 'bar)>)> as 'bar);; fun (x : <m : 'a. 'a * ('a * 'foo)> as 'foo) -> (x : <m : 'b. 'b * ('b * <m:'c. 'c * 'bar> as 'bar)>);; let f x = (x : <m : 'a. 'a -> ('a * <m:'c. 'c -> 'bar> as 'bar)> :> <m : 'a. 'a -> ('a * 'foo)> as 'foo);; module M : sig val f : (<m : 'b. 'b * ('b * <m:'c. 'c * 'bar> as 'bar)>) -> unit end = struct let f (x : <m : 'a. 'a * ('a * 'foo)> as 'foo) = () end;; module M : sig type t = <m : 'b. 'b * ('b * <m:'c. 'c * 'bar> as 'bar)> end = struct type t = <m : 'a. 'a * ('a * 'foo)> as 'foo end;; module M : sig type 'a t type u = <m: 'a. 'a t> end = struct type 'a t = int type u = <m: int> end;; module M : sig type 'a t val f : <m: 'a. 'a t> -> int end = struct type 'a t = int let f (x : <m:int>) = x#m end;; (* The following should be accepted too! *) module M : sig type 'a t val f : <m: 'a. 'a t> -> int end = struct type 'a t = int let f x = x#m end;; let f x y = ignore (x :> <m:'a.'a -> 'c * < > > as 'c); ignore (y :> <m:'b.'b -> 'd * < > > as 'd); x = y;; (* Subtyping *) type t = [`A|`B];; type v = private [> t];; fun x -> (x : t :> v);; type u = private [< t];; fun x -> (x : u :> v);; fun x -> (x : v :> u);; type v = private [< t];; fun x -> (x : u :> v);; type p = <x:p>;; type q = private <x:p; ..>;; fun x -> (x : q :> p);; fun x -> (x : p :> q);; let f1 x = (x : <m:'a. (<p:int;..> as 'a) -> int> :> <m:'b. (<p:int;q:int;..> as 'b) -> int>);; let f2 x = (x : <m:'a. (<p:<a:int>;..> as 'a) -> int> :> <m:'b. (<p:<a:int;b:int>;..> as 'b) -> int>);; let f3 x = (x : <m:'a. (<p:<a:int;b:int>;..> as 'a) -> int> :> <m:'b. (<p:<a:int>;..> as 'b) -> int>);; let f4 x = (x : <p:<a:int;b:int>;..> :> <p:<a:int>;..>);; let f5 x = (x : <m:'a. [< `A of <p:int> ] as 'a> :> <m:'a. [< `A of < > ] as 'a>);; let f6 x = (x : <m:'a. [< `A of < > ] as 'a> :> <m:'a. [< `A of <p:int> ] as 'a>);; (* Keep sharing the epsilons *) let f x = if true then (x : < m : 'a. 'a -> 'a >) else x;; fun x -> (f x)#m;; (* Warning 18 *) let f (x, y) = if true then (x : < m : 'a. 'a -> 'a >) else x;; fun x -> (f (x,x))#m;; (* Warning 18 *) let f x = if true then [| (x : < m : 'a. 'a -> 'a >) |] else [|x|];; fun x -> (f x).(0)#m;; (* Warning 18 *) (* Not really principal? *) class c = object method id : 'a. 'a -> 'a = fun x -> x end;; type u = c option;; let just = function None -> failwith "just" | Some x -> x;; let f x = let l = [Some x; (None : u)] in (just(List.hd l))#id;; let g x = let none = (fun y -> ignore [y;(None:u)]; y) None in let x = List.hd [Some x; none] in (just x)#id;; let h x = let none = let y = None in ignore [y;(None:u)]; y in let x = List.hd [Some x; none] in (just x)#id;; (* Only solved for parameterless abbreviations *) type 'a u = c option;; let just = function None -> failwith "just" | Some x -> x;; let f x = let l = [Some x; (None : _ u)] in (just(List.hd l))#id;; (* polymorphic recursion *) let rec f : 'a. 'a -> _ = fun x -> 1 and g x = f x;; type 'a t = Leaf of 'a | Node of ('a * 'a) t;; let rec depth : 'a. 'a t -> _ = function Leaf _ -> 1 | Node x -> 1 + depth x;; let rec depth : 'a. 'a t -> _ = function Leaf _ -> 1 | Node x -> 1 + d x and d x = depth x;; (* fails *) let rec depth : 'a. 'a t -> _ = function Leaf x -> x | Node x -> 1 + depth x;; (* fails *) let rec depth : 'a. 'a t -> _ = function Leaf x -> x | Node x -> depth x;; (* fails *) let rec depth : 'a 'b. 'a t -> 'b = function Leaf x -> x | Node x -> depth x;; (* fails *) let rec r : 'a. 'a list * 'b list ref = [], ref [] and q () = r;; let f : 'a. _ -> _ = fun x -> x;; let zero : 'a. [> `Int of int | `B of 'a] as 'a = `Int 0;; (* ok *) let zero : 'a. [< `Int of int] as 'a = `Int 0;; (* fails *) (* compare with records (should be the same) *) type t = {f: 'a. [> `Int of int | `B of 'a] as 'a} let zero = {f = `Int 0} ;; type t = {f: 'a. [< `Int of int] as 'a} let zero = {f = `Int 0} ;; (* fails *) (* Yet another example *) let rec id : 'a. 'a -> 'a = fun x -> x and neg i b = (id (-i), id (not b));; (* De Xavier *) type t = A of int | B of (int*t) list | C of (string*t) list let rec transf f = function | A x -> f x | B l -> B (transf_alist f l) | C l -> C (transf_alist f l) and transf_alist : 'a. _ -> ('a*t) list -> ('a*t) list = fun f -> function | [] -> [] | (k,v)::tl -> (k, transf f v) :: transf_alist f tl ;; (* PR#4862 *) type t = {f: 'a. ('a list -> int) Lazy.t} let l : t = { f = lazy (raise Not_found)};; (* variant *) type t = {f: 'a. 'a -> unit};; let f ?x y = () in {f};; let f ?x y = y in {f};; (* fail *) (* Polux Moon caml-list 2011-07-26 *) module Polux = struct type 'par t = 'par let ident v = v class alias = object method alias : 'a . 'a t -> 'a = ident end let f (x : <m : 'a. 'a t>) = (x : <m : 'a. 'a>) end;; (* PR#5560 *) let (a, b) = (raise Exit : int * int);; type t = { foo : int } let {foo} = (raise Exit : t);; type s = A of int let (A x) = (raise Exit : s);; (* PR#5224 *) type 'x t = < f : 'y. 'y t >;; (* PR#6056, PR#6057 *) let using_match b = let f = match b with | true -> fun x -> x | false -> fun x -> x in f 0,f ;; match (fun x -> x), fun x -> x with x, y -> x, y;; match fun x -> x with x -> x, x;; (* PR#6747 *) (* ok *) let n = object method m : 'x 'o. ([< `Foo of 'x] as 'o) -> 'x = fun x -> assert false end;; (* ok, but not with -principal *) let n = object method m : 'x. [< `Foo of 'x] -> 'x = fun x -> assert false end;; (* fail *) let (n : < m : 'a. [< `Foo of int] -> 'a >) = object method m : 'x. [< `Foo of 'x] -> 'x = fun x -> assert false end;; (* fail *) let (n : 'b -> < m : 'a . ([< `Foo of int] as 'b) -> 'a >) = fun x -> object method m : 'x. [< `Foo of 'x] -> 'x = fun x -> assert false end;; (* PR#6171 *) let f b (x: 'x) = let module M = struct type t = A end in if b then x else M.A;;