package catala

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Source file compile_without_exceptions.ml

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(* This file is part of the Catala compiler, a specification language for tax
   and social benefits computation rules. Copyright (C) 2020-2022 Inria,
   contributor: Alain Delaët-Tixeuil <alain.delaet--tixeuil@inria.fr>

   Licensed under the Apache License, Version 2.0 (the "License"); you may not
   use this file except in compliance with the License. You may obtain a copy of
   the License at

   http://www.apache.org/licenses/LICENSE-2.0

   Unless required by applicable law or agreed to in writing, software
   distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
   WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the
   License for the specific language governing permissions and limitations under
   the License. *)

open Utils
module D = Dcalc.Ast
module A = Ast

(** The main idea around this pass is to compile Dcalc to Lcalc without using
    [raise EmptyError] nor [try _ with EmptyError -> _]. To do so, we use the
    same technique as in rust or erlang to handle this kind of exceptions. Each
    [raise EmptyError] will be translated as [None] and each
    [try e1 with EmtpyError -> e2] as
    [match e1 with | None -> e2 | Some x -> x].

    When doing this naively, this requires to add matches and Some constructor
    everywhere. We apply here an other technique where we generate what we call
    `hoists`. Hoists are expression whom could minimally [raise EmptyError]. For
    instance in [let x = <e1, e2, ..., en| e_just :- e_cons> * 3 in x + 1], the
    sub-expression [<e1, e2, ..., en| e_just :- e_cons>] can produce an empty
    error. So we make a hoist with a new variable [y] linked to the Dcalc
    expression [<e1, e2, ..., en| e_just :- e_cons>], and we return as the
    translated expression [let x = y * 3 in x + 1].

    The compilation of expressions is found in the functions
    [translate_and_hoist ctx e] and [translate_expr ctx e]. Every
    option-generating expression when calling [translate_and_hoist] will be
    hoisted and later handled by the [translate_expr] function. Every other
    cases is found in the translate_and_hoist function. *)

type 'm hoists = 'm D.marked_expr A.VarMap.t
(** Hoists definition. It represent bindings between [A.Var.t] and [D.expr]. *)

type 'm info = {
  expr : 'm A.marked_expr Bindlib.box;
  var : 'm A.expr Bindlib.var;
  is_pure : bool;
}
(** Information about each encontered Dcalc variable is stored inside a context
    : what is the corresponding LCalc variable; an expression corresponding to
    the variable build correctly using Bindlib, and a boolean `is_pure`
    indicating whenever the variable can be an EmptyError and hence should be
    matched (false) or if it never can be EmptyError (true). *)

let pp_info (fmt : Format.formatter) (info : 'm info) =
  Format.fprintf fmt "{var: %a; is_pure: %b}" Print.format_var info.var
    info.is_pure

type 'm ctx = {
  decl_ctx : D.decl_ctx;
  vars : 'm info D.VarMap.t;
      (** information context about variables in the current scope *)
}

let _pp_ctx (fmt : Format.formatter) (ctx : 'm ctx) =
  let pp_binding (fmt : Format.formatter) ((v, info) : D.Var.t * 'm info) =
    Format.fprintf fmt "%a: %a" Dcalc.Print.format_var (D.Var.get v) pp_info
      info
  in

  let pp_bindings =
    Format.pp_print_list
      ~pp_sep:(fun fmt () -> Format.pp_print_string fmt "; ")
      pp_binding
  in

  Format.fprintf fmt "@[<2>[%a]@]" pp_bindings (D.VarMap.bindings ctx.vars)

(** [find ~info n ctx] is a warpper to ocaml's Map.find that handle errors in a
    slightly better way. *)
let find ?(info : string = "none") (n : 'm D.var) (ctx : 'm ctx) : 'm info =
  (* let _ = Format.asprintf "Searching for variable %a inside context %a"
     Dcalc.Print.format_var n pp_ctx ctx |> Cli.debug_print in *)
  try D.VarMap.find (D.Var.t n) ctx.vars
  with Not_found ->
    Errors.raise_spanned_error Pos.no_pos
      "Internal Error: Variable %a was not found in the current environment. \
       Additional informations : %s."
      Dcalc.Print.format_var n info

(** [add_var pos var is_pure ctx] add to the context [ctx] the Dcalc variable
    var, creating a unique corresponding variable in Lcalc, with the
    corresponding expression, and the boolean is_pure. It is usefull for
    debuging purposes as it printing each of the Dcalc/Lcalc variable pairs. *)
let add_var (mark : 'm D.mark) (var : 'm D.var) (is_pure : bool) (ctx : 'm ctx)
    : 'm ctx =
  let new_var = A.new_var (Bindlib.name_of var) in
  let expr = A.make_var (new_var, mark) in

  (* Cli.debug_print @@ Format.asprintf "D.%a |-> A.%a" Dcalc.Print.format_var
     var Print.format_var new_var; *)
  {
    ctx with
    vars =
      D.VarMap.update (D.Var.t var)
        (fun _ -> Some { expr; var = new_var; is_pure })
        ctx.vars;
  }

(** [tau' = translate_typ tau] translate the a dcalc type into a lcalc type.

    Since positions where there is thunked expressions is exactly where we will
    put option expressions. Hence, the transformation simply reduce [unit -> 'a]
    into ['a option] recursivly. There is no polymorphism inside catala. *)
let rec translate_typ (tau : D.typ Marked.pos) : D.typ Marked.pos =
  (Fun.flip Marked.same_mark_as)
    tau
    begin
      match Marked.unmark tau with
      | D.TLit l -> D.TLit l
      | D.TTuple (ts, s) -> D.TTuple (List.map translate_typ ts, s)
      | D.TEnum (ts, en) -> D.TEnum (List.map translate_typ ts, en)
      | D.TAny -> D.TAny
      | D.TArray ts -> D.TArray (translate_typ ts)
      (* catala is not polymorphic *)
      | D.TArrow ((D.TLit D.TUnit, pos_unit), t2) ->
        D.TEnum ([D.TLit D.TUnit, pos_unit; translate_typ t2], A.option_enum)
        (* D.TAny *)
      | D.TArrow (t1, t2) -> D.TArrow (translate_typ t1, translate_typ t2)
    end

let translate_lit (l : D.lit) (pos : Pos.t) : A.lit =
  match l with
  | D.LBool l -> A.LBool l
  | D.LInt i -> A.LInt i
  | D.LRat r -> A.LRat r
  | D.LMoney m -> A.LMoney m
  | D.LUnit -> A.LUnit
  | D.LDate d -> A.LDate d
  | D.LDuration d -> A.LDuration d
  | D.LEmptyError ->
    Errors.raise_spanned_error pos
      "Internal Error: An empty error was found in a place that shouldn't be \
       possible."

(** [c = disjoint_union_maps cs] Compute the disjoint union of multiple maps.
    Raises an internal error if there is two identicals keys in differnts parts. *)
let disjoint_union_maps (pos : Pos.t) (cs : 'a A.VarMap.t list) : 'a A.VarMap.t
    =
  let disjoint_union =
    A.VarMap.union (fun _ _ _ ->
        Errors.raise_spanned_error pos
          "Internal Error: Two supposed to be disjoints maps have one shared \
           key.")
  in

  List.fold_left disjoint_union A.VarMap.empty cs

(** [e' = translate_and_hoist ctx e ] Translate the Dcalc expression e into an
    expression in Lcalc, given we translate each hoists correctly. It ensures
    the equivalence between the execution of e and the execution of e' are
    equivalent in an environement where each variable v, where (v, e_v) is in
    hoists, has the non-empty value in e_v. *)
let rec translate_and_hoist (ctx : 'm ctx) (e : 'm D.marked_expr) :
    'm A.marked_expr Bindlib.box * 'm hoists =
  let pos = Marked.get_mark e in
  match Marked.unmark e with
  (* empty-producing/using terms. We hoist those. (D.EVar in some cases,
     EApp(D.EVar _, [ELit LUnit]), EDefault _, ELit LEmptyDefault) I'm unsure
     about assert. *)
  | D.EVar v ->
    (* todo: for now, every unpure (such that [is_pure] is [false] in the
       current context) is thunked, hence matched in the next case. This
       assumption can change in the future, and this case is here for this
       reason. *)
    if not (find ~info:"search for a variable" v ctx).is_pure then
      let v' = A.new_var (Bindlib.name_of v) in
      (* Cli.debug_print @@ Format.asprintf "Found an unpure variable %a,
         created a variable %a to replace it" Dcalc.Print.format_var v
         Print.format_var v'; *)
      A.make_var (v', pos), A.VarMap.singleton (A.Var.t v') e
    else (find ~info:"should never happend" v ctx).expr, A.VarMap.empty
  | D.EApp ((D.EVar v, p), [(D.ELit D.LUnit, _)]) ->
    if not (find ~info:"search for a variable" v ctx).is_pure then
      let v' = A.new_var (Bindlib.name_of v) in
      (* Cli.debug_print @@ Format.asprintf "Found an unpure variable %a,
         created a variable %a to replace it" Dcalc.Print.format_var v
         Print.format_var v'; *)
      A.make_var (v', pos), A.VarMap.singleton (A.Var.t v') (D.EVar v, p)
    else
      Errors.raise_spanned_error (D.pos e)
        "Internal error: an pure variable was found in an unpure environment."
  | D.EDefault (_exceptions, _just, _cons) ->
    let v' = A.new_var "default_term" in
    A.make_var (v', pos), A.VarMap.singleton (A.Var.t v') e
  | D.ELit D.LEmptyError ->
    let v' = A.new_var "empty_litteral" in
    A.make_var (v', pos), A.VarMap.singleton (A.Var.t v') e
  (* This one is a very special case. It transform an unpure expression
     environement to a pure expression. *)
  | ErrorOnEmpty arg ->
    (* [ match arg with | None -> raise NoValueProvided | Some v -> {{ v }} ] *)
    let silent_var = A.new_var "_" in
    let x = A.new_var "non_empty_argument" in

    let arg' = translate_expr ctx arg in

    ( A.make_matchopt_with_abs_arms arg'
        (A.make_abs [| silent_var |]
           (Bindlib.box (A.ERaise A.NoValueProvided, pos))
           [D.TAny, D.pos e]
           pos)
        (A.make_abs [| x |] (A.make_var (x, pos)) [D.TAny, D.pos e] pos),
      A.VarMap.empty )
  (* pure terms *)
  | D.ELit l -> A.elit (translate_lit l (D.pos e)) pos, A.VarMap.empty
  | D.EIfThenElse (e1, e2, e3) ->
    let e1', h1 = translate_and_hoist ctx e1 in
    let e2', h2 = translate_and_hoist ctx e2 in
    let e3', h3 = translate_and_hoist ctx e3 in

    let e' = A.eifthenelse e1' e2' e3' pos in

    (*(* equivalent code : *) let e' = let+ e1' = e1' and+ e2' = e2' and+ e3' =
      e3' in (A.EIfThenElse (e1', e2', e3'), pos) in *)
    e', disjoint_union_maps (D.pos e) [h1; h2; h3]
  | D.EAssert e1 ->
    (* same behavior as in the ICFP paper: if e1 is empty, then no error is
       raised. *)
    let e1', h1 = translate_and_hoist ctx e1 in
    A.eassert e1' pos, h1
  | D.EAbs (binder, ts) ->
    let vars, body = Bindlib.unmbind binder in
    let ctx, lc_vars =
      ArrayLabels.fold_right vars ~init:(ctx, []) ~f:(fun var (ctx, lc_vars) ->
          (* we suppose the invariant that when applying a function, its
             arguments cannot be of the type "option".

             The code should behave correctly in the without this assumption if
             we put here an is_pure=false, but the types are more compilcated.
             (unimplemented for now) *)
          let ctx = add_var pos var true ctx in
          let lc_var = (find var ctx).var in
          ctx, lc_var :: lc_vars)
    in
    let lc_vars = Array.of_list lc_vars in

    (* here we take the guess that if we cannot build the closure because one of
       the variable is empty, then we cannot build the function. *)
    let new_body, hoists = translate_and_hoist ctx body in
    let new_binder = Bindlib.bind_mvar lc_vars new_body in

    ( Bindlib.box_apply
        (fun new_binder -> A.EAbs (new_binder, List.map translate_typ ts), pos)
        new_binder,
      hoists )
  | EApp (e1, args) ->
    let e1', h1 = translate_and_hoist ctx e1 in
    let args', h_args =
      args |> List.map (translate_and_hoist ctx) |> List.split
    in

    let hoists = disjoint_union_maps (D.pos e) (h1 :: h_args) in
    let e' = A.eapp e1' args' pos in
    e', hoists
  | ETuple (args, s) ->
    let args', h_args =
      args |> List.map (translate_and_hoist ctx) |> List.split
    in

    let hoists = disjoint_union_maps (D.pos e) h_args in
    A.etuple args' s pos, hoists
  | ETupleAccess (e1, i, s, ts) ->
    let e1', hoists = translate_and_hoist ctx e1 in
    let e1' = A.etupleaccess e1' i s ts pos in
    e1', hoists
  | EInj (e1, i, en, ts) ->
    let e1', hoists = translate_and_hoist ctx e1 in
    let e1' = A.einj e1' i en ts pos in
    e1', hoists
  | EMatch (e1, cases, en) ->
    let e1', h1 = translate_and_hoist ctx e1 in
    let cases', h_cases =
      cases |> List.map (translate_and_hoist ctx) |> List.split
    in

    let hoists = disjoint_union_maps (D.pos e) (h1 :: h_cases) in
    let e' = A.ematch e1' cases' en pos in
    e', hoists
  | EArray es ->
    let es', hoists = es |> List.map (translate_and_hoist ctx) |> List.split in

    A.earray es' pos, disjoint_union_maps (D.pos e) hoists
  | EOp op -> Bindlib.box (A.EOp op, pos), A.VarMap.empty

and translate_expr ?(append_esome = true) (ctx : 'm ctx) (e : 'm D.marked_expr)
    : 'm A.marked_expr Bindlib.box =
  let e', hoists = translate_and_hoist ctx e in
  let hoists = A.VarMap.bindings hoists in

  let _pos = Marked.get_mark e in

  (* build the hoists *)
  (* Cli.debug_print @@ Format.asprintf "hoist for the expression: [%a]"
     (Format.pp_print_list Print.format_var) (List.map fst hoists); *)
  ListLabels.fold_left hoists
    ~init:(if append_esome then A.make_some e' else e')
    ~f:(fun acc (v, (hoist, mark_hoist)) ->
      (* Cli.debug_print @@ Format.asprintf "hoist using A.%a" Print.format_var
         v; *)
      let c' : 'm A.marked_expr Bindlib.box =
        match hoist with
        (* Here we have to handle only the cases appearing in hoists, as defined
           the [translate_and_hoist] function. *)
        | D.EVar v -> (find ~info:"should never happend" v ctx).expr
        | D.EDefault (excep, just, cons) ->
          let excep' = List.map (translate_expr ctx) excep in
          let just' = translate_expr ctx just in
          let cons' = translate_expr ctx cons in
          (* calls handle_option. *)
          A.make_app
            (A.make_var (A.Var.get A.handle_default_opt, mark_hoist))
            [
              Bindlib.box_apply
                (fun excep' -> A.EArray excep', mark_hoist)
                (Bindlib.box_list excep');
              just';
              cons';
            ]
            mark_hoist
        | D.ELit D.LEmptyError -> A.make_none mark_hoist
        | D.EAssert arg ->
          let arg' = translate_expr ctx arg in

          (* [ match arg with | None -> raise NoValueProvided | Some v -> assert
             {{ v }} ] *)
          let silent_var = A.new_var "_" in
          let x = A.new_var "assertion_argument" in

          A.make_matchopt_with_abs_arms arg'
            (A.make_abs [| silent_var |]
               (Bindlib.box (A.ERaise A.NoValueProvided, mark_hoist))
               [D.TAny, D.mark_pos mark_hoist]
               mark_hoist)
            (A.make_abs [| x |]
               (Bindlib.box_apply
                  (fun arg -> A.EAssert arg, mark_hoist)
                  (A.make_var (x, mark_hoist)))
               [D.TAny, D.mark_pos mark_hoist]
               mark_hoist)
        | _ ->
          Errors.raise_spanned_error (D.mark_pos mark_hoist)
            "Internal Error: An term was found in a position where it should \
             not be"
      in

      (* [ match {{ c' }} with | None -> None | Some {{ v }} -> {{ acc }} end
         ] *)
      (* Cli.debug_print @@ Format.asprintf "build matchopt using %a"
         Print.format_var v; *)
      A.make_matchopt mark_hoist (A.Var.get v)
        (D.TAny, D.mark_pos mark_hoist)
        c' (A.make_none mark_hoist) acc)

let rec translate_scope_let
    (ctx : 'm ctx)
    (lets : ('m D.expr, 'm) D.scope_body_expr) :
    ('m A.expr, 'm) D.scope_body_expr Bindlib.box =
  match lets with
  | Result e ->
    Bindlib.box_apply
      (fun e -> D.Result e)
      (translate_expr ~append_esome:false ctx e)
  | ScopeLet
      {
        scope_let_kind = SubScopeVarDefinition;
        scope_let_typ = typ;
        scope_let_expr = D.EAbs (binder, _), emark;
        scope_let_next = next;
        scope_let_pos = pos;
      } ->
    (* special case : the subscope variable is thunked (context i/o). We remove
       this thunking. *)
    let _, expr = Bindlib.unmbind binder in

    let var_is_pure = true in
    let var, next = Bindlib.unbind next in
    (* Cli.debug_print @@ Format.asprintf "unbinding %a" Dcalc.Print.format_var
       var; *)
    let vmark = D.map_mark (fun _ -> pos) (fun _ -> typ) emark in
    let ctx' = add_var vmark var var_is_pure ctx in
    let new_var = (find ~info:"variable that was just created" var ctx').var in
    let new_next = translate_scope_let ctx' next in
    Bindlib.box_apply2
      (fun new_expr new_next ->
        D.ScopeLet
          {
            scope_let_kind = SubScopeVarDefinition;
            scope_let_typ = translate_typ typ;
            scope_let_expr = new_expr;
            scope_let_next = new_next;
            scope_let_pos = pos;
          })
      (translate_expr ctx ~append_esome:false expr)
      (Bindlib.bind_var new_var new_next)
  | ScopeLet
      {
        scope_let_kind = SubScopeVarDefinition;
        scope_let_typ = typ;
        scope_let_expr = (D.ErrorOnEmpty _, emark) as expr;
        scope_let_next = next;
        scope_let_pos = pos;
      } ->
    (* special case: regular input to the subscope *)
    let var_is_pure = true in
    let var, next = Bindlib.unbind next in
    (* Cli.debug_print @@ Format.asprintf "unbinding %a" Dcalc.Print.format_var
       var; *)
    let vmark = D.map_mark (fun _ -> pos) (fun _ -> typ) emark in
    let ctx' = add_var vmark var var_is_pure ctx in
    let new_var = (find ~info:"variable that was just created" var ctx').var in
    Bindlib.box_apply2
      (fun new_expr new_next ->
        D.ScopeLet
          {
            scope_let_kind = SubScopeVarDefinition;
            scope_let_typ = translate_typ typ;
            scope_let_expr = new_expr;
            scope_let_next = new_next;
            scope_let_pos = pos;
          })
      (translate_expr ctx ~append_esome:false expr)
      (Bindlib.bind_var new_var (translate_scope_let ctx' next))
  | ScopeLet
      {
        scope_let_kind = SubScopeVarDefinition;
        scope_let_pos = pos;
        scope_let_expr = expr;
        _;
      } ->
    Errors.raise_spanned_error pos
      "Internal Error: found an SubScopeVarDefinition that does not satisfy \
       the invariants when translating Dcalc to Lcalc without exceptions: \
       @[<hov 2>%a@]"
      (Dcalc.Print.format_expr ctx.decl_ctx)
      expr
  | ScopeLet
      {
        scope_let_kind = kind;
        scope_let_typ = typ;
        scope_let_expr = expr;
        scope_let_next = next;
        scope_let_pos = pos;
      } ->
    let var_is_pure =
      match kind with
      | DestructuringInputStruct -> (
        (* Here, we have to distinguish between context and input variables. We
           can do so by looking at the typ of the destructuring: if it's
           thunked, then the variable is context. If it's not thunked, it's a
           regular input. *)
        match Marked.unmark typ with
        | D.TArrow ((D.TLit D.TUnit, _), _) -> false
        | _ -> true)
      | ScopeVarDefinition | SubScopeVarDefinition | CallingSubScope
      | DestructuringSubScopeResults | Assertion ->
        true
    in
    let var, next = Bindlib.unbind next in
    (* Cli.debug_print @@ Format.asprintf "unbinding %a" Dcalc.Print.format_var
       var; *)
    let vmark =
      D.map_mark (fun _ -> pos) (fun _ -> typ) (Marked.get_mark expr)
    in
    let ctx' = add_var vmark var var_is_pure ctx in
    let new_var = (find ~info:"variable that was just created" var ctx').var in
    Bindlib.box_apply2
      (fun new_expr new_next ->
        D.ScopeLet
          {
            scope_let_kind = kind;
            scope_let_typ = translate_typ typ;
            scope_let_expr = new_expr;
            scope_let_next = new_next;
            scope_let_pos = pos;
          })
      (translate_expr ctx ~append_esome:false expr)
      (Bindlib.bind_var new_var (translate_scope_let ctx' next))

let translate_scope_body
    (scope_pos : Pos.t)
    (ctx : 'm ctx)
    (body : ('m D.expr, 'm) D.scope_body) :
    ('m A.expr, 'm) D.scope_body Bindlib.box =
  match body with
  | {
   scope_body_expr = result;
   scope_body_input_struct = input_struct;
   scope_body_output_struct = output_struct;
  } ->
    let v, lets = Bindlib.unbind result in
    let vmark =
      let m =
        match lets with
        | Result e | ScopeLet { scope_let_expr = e; _ } -> Marked.get_mark e
      in
      D.map_mark (fun _ -> scope_pos) (fun ty -> ty) m
    in
    let ctx' = add_var vmark v true ctx in
    let v' = (find ~info:"variable that was just created" v ctx').var in
    Bindlib.box_apply
      (fun new_expr ->
        {
          D.scope_body_expr = new_expr;
          scope_body_input_struct = input_struct;
          scope_body_output_struct = output_struct;
        })
      (Bindlib.bind_var v' (translate_scope_let ctx' lets))

let rec translate_scopes (ctx : 'm ctx) (scopes : ('m D.expr, 'm) D.scopes) :
    ('m A.expr, 'm) D.scopes Bindlib.box =
  match scopes with
  | Nil -> Bindlib.box D.Nil
  | ScopeDef { scope_name; scope_body; scope_next } ->
    let scope_var, next = Bindlib.unbind scope_next in
    let vmark =
      match Bindlib.unbind scope_body.scope_body_expr with
      | _, (Result e | ScopeLet { scope_let_expr = e; _ }) -> Marked.get_mark e
    in

    let new_ctx = add_var vmark scope_var true ctx in
    let new_scope_name =
      (find ~info:"variable that was just created" scope_var new_ctx).var
    in

    let scope_pos = Marked.get_mark (D.ScopeName.get_info scope_name) in

    let new_body = translate_scope_body scope_pos ctx scope_body in
    let tail = translate_scopes new_ctx next in

    Bindlib.box_apply2
      (fun body tail ->
        D.ScopeDef { scope_name; scope_body = body; scope_next = tail })
      new_body
      (Bindlib.bind_var new_scope_name tail)

let translate_program (prgm : 'm D.program) : 'm A.program =
  let inputs_structs =
    D.fold_left_scope_defs prgm.scopes ~init:[] ~f:(fun acc scope_def _ ->
        scope_def.D.scope_body.scope_body_input_struct :: acc)
  in

  (* Cli.debug_print @@ Format.asprintf "List of structs to modify: [%a]"
     (Format.pp_print_list D.StructName.format_t) inputs_structs; *)
  let decl_ctx =
    {
      prgm.decl_ctx with
      D.ctx_enums =
        prgm.decl_ctx.ctx_enums
        |> D.EnumMap.add A.option_enum A.option_enum_config;
    }
  in
  let decl_ctx =
    {
      decl_ctx with
      D.ctx_structs =
        prgm.decl_ctx.ctx_structs
        |> D.StructMap.mapi (fun n l ->
               if List.mem n inputs_structs then
                 ListLabels.map l ~f:(fun (n, tau) ->
                     (* Cli.debug_print @@ Format.asprintf "Input type: %a"
                        (Dcalc.Print.format_typ decl_ctx) tau; Cli.debug_print
                        @@ Format.asprintf "Output type: %a"
                        (Dcalc.Print.format_typ decl_ctx) (translate_typ
                        tau); *)
                     n, translate_typ tau)
               else l);
    }
  in

  let scopes =
    Bindlib.unbox
      (translate_scopes { decl_ctx; vars = D.VarMap.empty } prgm.scopes)
  in

  { scopes; decl_ctx }
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