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|
(** This module defines various utilities to write the interpretation functions
in continuation passing style. *)
module T = Types
module V = Values
module C = Contexts
module SA = SymbolicAst
(** TODO: change the name *)
type eval_error = EPanic
(** Result of evaluating a statement *)
type statement_eval_res =
| Unit
| Break of int
| Continue of int
| Return
| Panic
(** Synthesized expresssion - dummy for now *)
type sexpr = SOne | SList of sexpr list
type eval_result = SA.expression option
type m_fun = C.eval_ctx -> eval_result
(** Continuation function *)
type cm_fun = m_fun -> m_fun
(** Continuation taking another continuation as parameter *)
type typed_value_m_fun = V.typed_value -> m_fun
(** Continuation taking a typed value as parameter - TODO: use more *)
type typed_value_cm_fun = V.typed_value -> cm_fun
(** Continuation taking another continuation as parameter and a typed
value as parameter.
*)
type st_m_fun = statement_eval_res -> m_fun
(** Type of a continuation used when evaluating a statement *)
type st_cm_fun = st_m_fun -> m_fun
(** Type of a continuation used when evaluating a statement *)
(** Convert a unit function to a cm function *)
let unit_to_cm_fun (f : C.eval_ctx -> unit) : cm_fun =
fun cf ctx ->
f ctx;
cf ctx
(** *)
let update_to_cm_fun (f : C.eval_ctx -> C.eval_ctx) : cm_fun =
fun cf ctx ->
let ctx = f ctx in
cf ctx
(** Composition of functions taking continuations as parameters.
We tried to make this as general as possible. *)
let comp (f : 'c -> 'd -> 'e) (g : ('a -> 'b) -> 'c) : ('a -> 'b) -> 'd -> 'e =
fun cf ctx -> f (g cf) ctx
let comp_unit (f : cm_fun) (g : C.eval_ctx -> unit) : cm_fun =
comp f (unit_to_cm_fun g)
let comp_update (f : cm_fun) (g : C.eval_ctx -> C.eval_ctx) : cm_fun =
comp f (update_to_cm_fun g)
(** This is just a test, to check that [comp] is general enough to handle a case
where a function must compute a value and give it to the continuation.
It happens for functions like [eval_operand].
Keeping this here also makes it a good reference, when one wants to figure
out the signatures he should use for such a composition.
*)
let comp_ret_val (f : (V.typed_value -> m_fun) -> m_fun)
(g : m_fun -> V.typed_value -> m_fun) : cm_fun =
comp f g
let apply (f : cm_fun) (g : m_fun) : m_fun = fun ctx -> f g ctx
let id_cm_fun : cm_fun = fun cf ctx -> cf ctx
(** If we have a list of [inputs] of type `'a list` and a function [f] which
evaluates one element of type `'a` to compute a result of type `'b` before
giving it to a continuation, the following function performs a fold operation:
it evaluates all the inputs one by one by accumulating the results in a list,
and gives the list to a continuation.
Note that we make sure that the results are listed in the order in
which they were computed (the first element of the list is the result
of applying [f] to the first element of the inputs).
See the unit test below for an illustration.
*)
let fold_left_apply_continuation (f : 'a -> ('c -> 'd) -> 'c -> 'd)
(inputs : 'a list) (cf : 'c -> 'd) : 'c -> 'd =
let rec eval_list (inputs : 'a list) (cf : 'c -> 'd) : 'c -> 'd =
fun ctx ->
match inputs with
| [] -> cf ctx
| x :: inputs -> comp (f x) (fun cf -> eval_list inputs cf) cf ctx
in
eval_list inputs cf
(** Unit test/example for [fold_left_apply_continuation] *)
let _ =
fold_left_apply_continuation
(fun x cf (ctx : int) -> cf (ctx + x))
[ 1; 20; 300; 4000 ]
(fun (ctx : int) -> assert (ctx = 4321))
0
(** If we have a list of [inputs] of type `'a list` and a function [f] which
evaluates one element of type `'a` to compute a result of type `'b` before
giving it to a continuation, the following function performs a fold operation:
it evaluates all the inputs one by one by accumulating the results in a list,
and gives the list to a continuation.
Note that we make sure that the results are listed in the order in
which they were computed (the first element of the list is the result
of applying [f] to the first element of the inputs).
See the unit test below for an illustration.
*)
let fold_left_list_apply_continuation (f : 'a -> ('b -> 'c -> 'd) -> 'c -> 'd)
(inputs : 'a list) (cf : 'b list -> 'c -> 'd) : 'c -> 'd =
let rec eval_list (inputs : 'a list) (cf : 'b list -> 'c -> 'd)
(outputs : 'b list) : 'c -> 'd =
fun ctx ->
match inputs with
| [] -> cf (List.rev outputs) ctx
| x :: inputs ->
comp (f x) (fun cf v -> eval_list inputs cf (v :: outputs)) cf ctx
in
eval_list inputs cf []
(** Unit test/example for [fold_left_list_apply_continuation] *)
let _ =
fold_left_list_apply_continuation
(fun x cf (ctx : unit) -> cf (10 + x) ctx)
[ 0; 1; 2; 3; 4 ]
(fun values _ctx -> assert (values = [ 10; 11; 12; 13; 14 ]))
()
(** Composition of functions taking continuations as parameters.
We sometimes have the following situation, where we want to compose three
functions `send`, `transmit` and `receive` such that:
- those three functions take continuations as parameters
- `send` generates a value and gives it to its continuation
- `receive` expects a value (so we can compose `send` and `receive` like
so: `comp send receive`)
- `transmit` doesn't expect any value and needs to be called between `send`
and `receive`
In this situation, we need to take the value given by `send` and "transmit"
it to `receive`.
This is what this function does (see the unit test below for an illustration).
*)
let comp_transmit (f : ('v -> 'm) -> 'n) (g : 'm -> 'm) : ('v -> 'm) -> 'n =
fun cf -> f (fun v -> g (cf v))
(** Example of use of [comp_transmit] *)
let () =
let return3 (cf : int -> unit -> unit) (ctx : unit) = cf 3 ctx in
let do_nothing (cf : unit -> unit) (ctx : unit) = cf ctx in
let consume3 (x : int) (ctx : unit) : unit =
assert (x = 3);
ctx
in
let cc = comp_transmit return3 do_nothing in
let cc = cc consume3 in
cc ()
(** Sometimes, we want to compose a function with a continuation which checks
its computed value and its updated context, before transmitting them
*)
let comp_check_value (f : ('v -> 'ctx -> 'a) -> 'ctx -> 'b)
(g : 'v -> 'ctx -> unit) : ('v -> 'ctx -> 'a) -> 'ctx -> 'b =
fun cf ->
f (fun v ctx ->
g v ctx;
cf v ctx)
(** This case is similar to [comp_check_value], but even simpler (we only check
the context)
*)
let comp_check_ctx (f : ('ctx -> 'a) -> 'ctx -> 'b) (g : 'ctx -> unit) :
('ctx -> 'a) -> 'ctx -> 'b =
fun cf ->
f (fun ctx ->
g ctx;
cf ctx)
|
