CristalCaveGem » LustreC

(********************************************************************)

(*                                                                  *)

(*  The LustreC compiler toolset   /  The LustreC Development Team  *)

(*  Copyright 2012 -    --   ONERA - CNRS - INPT                    *)

(*                                                                  *)

(*  LustreC is free software, distributed WITHOUT ANY WARRANTY      *)

(*  under the terms of the GNU Lesser General Public License        *)

(*  version 2.1.                                                    *)

(*                                                                  *)

(********************************************************************)

open Format

type dim_expr =

  {mutable dim_desc: dim_desc;

   dim_loc: Location.t;

   dim_id: int}

and dim_desc =

| Dbool of bool

| Dint  of int

| Dident of Utils.ident

| Dappl of Utils.ident * dim_expr list

| Dite of dim_expr * dim_expr * dim_expr

| Dlink of dim_expr

| Dvar

| Dunivar

exception Unify of dim_expr * dim_expr

exception InvalidDimension

let new_id = ref (-1)

let mkdim loc dim =

  incr new_id;

  { dim_loc = loc;

    dim_id = !new_id;

    dim_desc = dim;}

let mkdim_var () =

  incr new_id;

  { dim_loc = Location.dummy_loc;

    dim_id = !new_id;

    dim_desc = Dvar;}

let mkdim_ident loc id =

  incr new_id;

  { dim_loc = loc;

    dim_id = !new_id;

    dim_desc = Dident id;}

let mkdim_bool loc b =

  incr new_id;

  { dim_loc = loc;

    dim_id = !new_id;

    dim_desc = Dbool b;}

let mkdim_int loc i =

  incr new_id;

  { dim_loc = loc;

    dim_id = !new_id;

    dim_desc = Dint i;}

let mkdim_appl loc f args =

  incr new_id;

  { dim_loc = loc;

    dim_id = !new_id;

    dim_desc = Dappl (f, args);}

let mkdim_ite loc i t e =

  incr new_id;

  { dim_loc = loc;

    dim_id = !new_id;

    dim_desc = Dite (i, t, e);}

let rec pp_dimension fmt dim =

(*fprintf fmt "<%d>" (Obj.magic dim: int);*)

 match dim.dim_desc with

 | Dident id       ->

     fprintf fmt "%s" id

 | Dint i          ->

     fprintf fmt "%d" i

 | Dbool b         ->

     fprintf fmt "%B" b

 | Dite (i, t, e)  ->

     fprintf fmt "if %a then %a else %a"

       pp_dimension i pp_dimension t pp_dimension e

 | Dappl (f, [arg]) ->

     fprintf fmt "(%s%a)" f pp_dimension arg

 | Dappl (f, [arg1; arg2]) ->

     fprintf fmt "(%a%s%a)" pp_dimension arg1 f pp_dimension arg2

 | Dappl (_, _) -> assert false

 | Dlink dim' -> fprintf fmt "%a" pp_dimension dim'

 | Dvar       -> fprintf fmt "_%s" (Utils.name_of_dimension dim.dim_id)

 | Dunivar    -> fprintf fmt "'%s" (Utils.name_of_dimension dim.dim_id)

let rec multi_dimension_product loc dim_list =

 match dim_list with

 | []   -> mkdim_int loc 1

 | [d]  -> d

 | d::q -> mkdim_appl loc "*" [d; multi_dimension_product loc q]

(* Builds a dimension expr representing 0<=d *)

let check_bound loc d =

 mkdim_appl loc "<=" [mkdim_int loc 0; d]

(* Builds a dimension expr representing 0<=i<d *)

let check_access loc d i =

 mkdim_appl loc "&&"

   [mkdim_appl loc "<=" [mkdim_int loc 0; i];

    mkdim_appl loc "<"  [i; d]]

let rec repr dim =

 match dim.dim_desc with

 | Dlink dim' -> repr dim'

 | _          -> dim

let rec is_eq_dimension d1 d2 =

  let d1 = repr d1 in

  let d2 = repr d2 in

  d1.dim_id = d2.dim_id ||

  match d1.dim_desc, d2.dim_desc with

  | Dappl (f1, args1), Dappl (f2, args2) ->

    f1 = f2 && List.length args1 = List.length args2 && List.for_all2 is_eq_dimension args1 args2

  | Dite (c1, t1, e1), Dite (c2, t2, e2) ->

    is_eq_dimension c1 c2 && is_eq_dimension t1 t2 && is_eq_dimension e1 e2

  | Dint i1   , Dint i2    -> i1 = i2

  | Dbool b1  , Dbool b2   -> b1 = b2

  | Dident id1, Dident id2 -> id1 = id2

  | _                      -> false

let is_dimension_const dim =

 match (repr dim).dim_desc with

 | Dint _

 | Dbool _ -> true

 | _       -> false

let size_const_dimension dim =

  match (repr dim).dim_desc with

 | Dint i  -> i

 | Dbool b -> if b then 1 else 0

 | _       -> (Format.eprintf "internal error: size_const_dimension %a@." pp_dimension dim; assert false)

let rec is_polymorphic dim =

  match dim.dim_desc with

  | Dident _

  | Dint _

  | Dbool _

  | Dvar             -> false

  | Dite (i, t, e)   ->

      is_polymorphic i || is_polymorphic t || is_polymorphic e

  | Dappl (_, args) -> List.exists is_polymorphic args

  | Dlink dim' -> is_polymorphic dim'

  | Dunivar    -> true

(* Normalizes a dimension expression, i.e. canonicalize all polynomial

   sub-expressions, where unsupported operations (eg. '/') are treated

   as variables.

*)

let rec factors dim =

  match dim.dim_desc with

  | Dappl (f, args) when f = "*" -> List.flatten (List.map factors args)

  | _                            -> [dim]

let rec factors_constant fs =

  match fs with

  | []   -> 1

  | f::q ->

    match f.dim_desc with

    | Dint i -> i * (factors_constant q)

    | _      -> factors_constant q

let norm_factors fs =

  let k = factors_constant fs in

  let nk = List.filter (fun d -> not (is_dimension_const d)) fs in

  (k, List.sort Pervasives.compare nk)

let rec terms dim =

 match dim.dim_desc with

 | Dappl (f, args) when f = "+" -> List.flatten (List.map terms args)

 | _                            -> [dim]

let rec normalize dim =

 dim

(*

let rec unnormalize loc l =

  let l = List.sort (fun (k, l) (k', l') -> compare l l') (List.map (fun (k, l) -> (k, List.sort compare l)) l) in

  match l with

  | []   -> mkdim_int loc 0

  | t::q -> 

 List.fold_left (fun res (k, l) -> mkdim_appl loc "+" res (mkdim_appl loc "*" (mkdim_int loc k) l)) t q

*)

let copy copy_dim_vars dim =

  let rec cp dim =

  match dim.dim_desc with

  | Dbool _

  | Dint _    -> dim

  | Dident id -> mkdim_ident dim.dim_loc id

  | Dite (c, t, e) -> mkdim_ite dim.dim_loc (cp c) (cp t) (cp e)

  | Dappl (id, args) -> mkdim_appl dim.dim_loc id (List.map cp args)

  | Dlink dim' -> cp dim'

  | Dunivar -> assert false

  | Dvar      ->

    try

      List.assoc dim.dim_id !copy_dim_vars

    with Not_found ->

      let var = mkdim dim.dim_loc Dvar in

      copy_dim_vars := (dim.dim_id, var)::!copy_dim_vars;

      var

  in cp dim

(* Partially evaluates a 'simple' dimension expr [dim], i.e. an expr containing only int and bool 

   constructs, with conditionals. [eval_const] is a typing environment for static values. [eval_op] is an evaluation env for basic operators. The argument [dim] is modified in-place. 

*)

let rec eval eval_op eval_const dim =

  match dim.dim_desc with

  | Dbool _

  | Dint _    -> ()

  | Dident id ->

    (match eval_const id with

    | Some val_dim -> dim.dim_desc <- Dlink val_dim

    | None         -> (Format.eprintf "invalid %a@." pp_dimension dim; raise InvalidDimension))

  | Dite (c, t, e) ->

    begin

      eval eval_op eval_const c;

      eval eval_op eval_const t;

      eval eval_op eval_const e;

      match (repr c).dim_desc with

      | Dbool b -> dim.dim_desc <- Dlink (if b then t else e)

      | _       -> ()

       end

  | Dappl (id, args) ->

    begin

      List.iter (eval eval_op eval_const) args;

      if List.for_all is_dimension_const args

      then dim.dim_desc <- Env.lookup_value eval_op id (List.map (fun d -> (repr d).dim_desc) args)

    end

  | Dlink dim' ->

    begin

      eval eval_op eval_const dim';

      dim.dim_desc <- Dlink (repr dim')

    end

  | Dvar -> ()

  | Dunivar -> assert false

let uneval const univar =

  let univar = repr univar in

  match univar.dim_desc with

  | Dunivar -> univar.dim_desc <- Dident const

  | _       -> assert false

(** [occurs dvar dim] returns true if the dimension variable [dvar] occurs in

    dimension expression [dim]. False otherwise. *)

let rec occurs dvar dim =

  let dim = repr dim in

  match dim.dim_desc with

  | Dvar  -> dim.dim_id = dvar.dim_id

  | Dident _

  | Dint _

  | Dbool _

  | Dunivar          -> false

  | Dite (i, t, e)   ->

      occurs dvar i || occurs dvar t || occurs dvar e

  | Dappl (_, args) -> List.exists (occurs dvar) args

  | Dlink _ -> assert false

(* Promote monomorphic dimension variables to polymorphic variables.

   Generalize by side-effects *)

let rec generalize dim =

  match dim.dim_desc with

  | Dvar -> dim.dim_desc <- Dunivar

  | Dident _

  | Dint _

  | Dbool _

  | Dunivar          -> ()

  | Dite (i, t, e)   ->

      generalize i; generalize t; generalize e

  | Dappl (_, args) -> List.iter generalize args

  | Dlink dim' -> generalize dim'

(* Instantiate polymorphic dimension variables to monomorphic variables.

   Also duplicates the whole term structure (but the constant sub-terms).

*)

let rec instantiate inst_dim_vars dim =

  let dim = repr dim in

  match dim.dim_desc with

  | Dvar

  | Dident _

  | Dint _

  | Dbool _ -> dim

  | Dite (i, t, e)   ->

      mkdim_ite dim.dim_loc

	(instantiate inst_dim_vars i)

	(instantiate inst_dim_vars t)

	(instantiate inst_dim_vars e)

  | Dappl (f, args) -> mkdim_appl dim.dim_loc f (List.map (instantiate inst_dim_vars) args)

  | Dlink dim' -> assert false (*mkdim dim.dim_loc (Dlink (instantiate inst_dim_vars dim'))*)

  | Dunivar ->

      try

        List.assoc dim.dim_id !inst_dim_vars

      with Not_found ->

        let var = mkdim dim.dim_loc Dvar in

	inst_dim_vars := (dim.dim_id, var)::!inst_dim_vars;

	var

(** destructive unification of [dim1] and [dim2].

   Raises [Unify (t1,t2)] if the types are not unifiable.

   if [semi] unification is required,

   [dim1] should furthermore be an instance of [dim2] *)

let unify ?(semi=false) dim1 dim2 =

  let rec unif dim1 dim2 =

    let dim1 = repr dim1 in

    let dim2 = repr dim2 in

    if dim1.dim_id = dim2.dim_id then () else

      match dim1.dim_desc, dim2.dim_desc with

      | Dunivar, _

      | _      , Dunivar -> assert false

      | Dvar   , Dvar    ->

	if dim1.dim_id < dim2.dim_id

	then dim2.dim_desc <- Dlink dim1

	else dim1.dim_desc <- Dlink dim2

      | Dvar   , _ when (not semi) && not (occurs dim1 dim2) ->

	dim1.dim_desc <- Dlink dim2

      | _      , Dvar when not (occurs dim2 dim1) ->

	dim2.dim_desc <- Dlink dim1

      | Dite(i1, t1, e1), Dite(i2, t2, e2) ->

	begin

          unif i1 i2;

	  unif t1 t2;

	  unif e1 e2

	end

      | Dappl(f1, args1), Dappl(f2, args2) when f1 = f2 && List.length args1 = List.length args2 ->

	List.iter2 unif args1 args2

      | Dbool b1, Dbool b2 when b1 = b2 -> ()

      | Dint i1 , Dint i2 when i1 = i2 -> ()

      | Dident id1, Dident id2 when id1 = id2 -> ()

      | _ -> raise (Unify (dim1, dim2))

  in unif dim1 dim2

let rec expr_replace_var fvar e = 

 { e with dim_desc = expr_replace_var_desc fvar e.dim_desc }

and expr_replace_var_desc fvar e =

  let re = expr_replace_var fvar in

  match e with

  | Dvar

  | Dunivar

  | Dbool _

  | Dint _ -> e

  | Dident v -> Dident (fvar v)

  | Dappl (id, el) -> Dappl (id, List.map re el)

  | Dite (g,t,e) -> Dite (re g, re t, re e)

  | Dlink e -> Dlink (re e)

let rec expr_replace_expr fvar e = 

 { e with dim_desc = expr_replace_expr_desc fvar e.dim_desc }

and expr_replace_expr_desc fvar e =

  let re = expr_replace_expr fvar in

  match e with

  | Dvar

  | Dunivar

  | Dbool _

  | Dint _ -> e

  | Dident v -> (fvar v).dim_desc

  | Dappl (id, el) -> Dappl (id, List.map re el)

  | Dite (g,t,e) -> Dite (re g, re t, re e)

  | Dlink e -> Dlink (re e)