lustrec / src / normalization.ml @ 1eda3e78
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(********************************************************************) |
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(* *) |
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(* The LustreC compiler toolset / The LustreC Development Team *) |
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(* Copyright 2012 - -- ONERA - CNRS - INPT *) |
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(* *) |
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(* LustreC is free software, distributed WITHOUT ANY WARRANTY *) |
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(* under the terms of the GNU Lesser General Public License *) |
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(* version 2.1. *) |
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(* *) |
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(********************************************************************) |
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|
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open Utils |
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open LustreSpec |
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open Corelang |
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open Format |
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|
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let expr_true loc ck = |
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{ expr_tag = Utils.new_tag (); |
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expr_desc = Expr_const (Const_tag tag_true); |
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expr_type = Type_predef.type_bool; |
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expr_clock = ck; |
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expr_delay = Delay.new_var (); |
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expr_annot = None; |
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expr_loc = loc } |
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|
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let expr_false loc ck = |
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{ expr_tag = Utils.new_tag (); |
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expr_desc = Expr_const (Const_tag tag_false); |
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expr_type = Type_predef.type_bool; |
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expr_clock = ck; |
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expr_delay = Delay.new_var (); |
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expr_annot = None; |
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expr_loc = loc } |
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|
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let expr_once loc ck = |
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{ expr_tag = Utils.new_tag (); |
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expr_desc = Expr_arrow (expr_true loc ck, expr_false loc ck); |
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expr_type = Type_predef.type_bool; |
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expr_clock = ck; |
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expr_delay = Delay.new_var (); |
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expr_annot = None; |
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expr_loc = loc } |
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|
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let is_expr_once = |
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let dummy_expr_once = expr_once Location.dummy_loc (Clocks.new_var true) in |
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fun expr -> Corelang.is_eq_expr expr dummy_expr_once |
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|
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let unfold_arrow expr = |
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match expr.expr_desc with |
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| Expr_arrow (e1, e2) -> |
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let loc = expr.expr_loc in |
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let ck = List.hd (Clocks.clock_list_of_clock expr.expr_clock) in |
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{ expr with expr_desc = Expr_ite (expr_once loc ck, e1, e2) } |
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| _ -> assert false |
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|
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let unfold_arrow_active = ref true |
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let cpt_fresh = ref 0 |
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|
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(* Generate a new local [node] variable *) |
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let mk_fresh_var node loc ty ck = |
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let vars = get_node_vars node in |
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let rec aux () = |
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incr cpt_fresh; |
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let s = Printf.sprintf "__%s_%d" node.node_id !cpt_fresh in |
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if List.exists (fun v -> v.var_id = s) vars then aux () else |
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{ |
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var_id = s; |
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var_dec_type = dummy_type_dec; |
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var_dec_clock = dummy_clock_dec; |
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var_dec_const = false; |
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var_type = ty; |
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var_clock = ck; |
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var_loc = loc |
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} |
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in aux () |
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|
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(* Generate a new ident expression from a declared variable *) |
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let mk_ident_expr v = |
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{ expr_tag = new_tag (); |
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expr_desc = Expr_ident v.var_id; |
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expr_type = v.var_type; |
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expr_clock = v.var_clock; |
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expr_delay = Delay.new_var (); |
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expr_annot = None; |
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expr_loc = v.var_loc } |
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|
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(* Get the equation in [defs] with [expr] as rhs, if any *) |
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let get_expr_alias defs expr = |
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try Some (List.find (fun eq -> is_eq_expr eq.eq_rhs expr) defs) |
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with |
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Not_found -> None |
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|
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(* Replace [expr] with (tuple of) [locals] *) |
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let replace_expr locals expr = |
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match locals with |
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| [] -> assert false |
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| [v] -> { expr with |
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expr_tag = Utils.new_tag (); |
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expr_desc = Expr_ident v.var_id } |
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| _ -> { expr with |
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expr_tag = Utils.new_tag (); |
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expr_desc = Expr_tuple (List.map mk_ident_expr locals) } |
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|
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let unfold_offsets e offsets = |
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let add_offset e d = |
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(*Format.eprintf "add_offset %a %a@." Dimension.pp_dimension (Types.array_type_dimension e.expr_type) Dimension.pp_dimension d;*) |
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{ e with |
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expr_tag = Utils.new_tag (); |
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expr_loc = d.Dimension.dim_loc; |
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expr_type = Types.array_element_type e.expr_type; |
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expr_desc = Expr_access (e, d) } in |
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List.fold_left add_offset e offsets |
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|
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(* Create an alias for [expr], if none exists yet *) |
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let mk_expr_alias node (defs, vars) expr = |
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(*Format.eprintf "mk_expr_alias %a %a %a@." Printers.pp_expr expr Types.print_ty expr.expr_type Clocks.print_ck expr.expr_clock;*) |
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match get_expr_alias defs expr with |
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| Some eq -> |
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let aliases = List.map (fun id -> List.find (fun v -> v.var_id = id) vars) eq.eq_lhs in |
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(defs, vars), replace_expr aliases expr |
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| None -> |
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let new_aliases = |
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List.map2 |
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(mk_fresh_var node expr.expr_loc) |
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(Types.type_list_of_type expr.expr_type) |
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(Clocks.clock_list_of_clock expr.expr_clock) in |
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let new_def = |
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mkeq expr.expr_loc (List.map (fun v -> v.var_id) new_aliases, expr) |
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in (new_def::defs, new_aliases@vars), replace_expr new_aliases expr |
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|
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(* Create an alias for [expr], if [expr] is not already an alias (i.e. an ident) |
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and [opt] is true *) |
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let mk_expr_alias_opt opt node defvars expr = |
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match expr.expr_desc with |
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| Expr_ident alias -> |
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defvars, expr |
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| _ -> |
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if opt |
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then |
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mk_expr_alias node defvars expr |
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else |
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defvars, expr |
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|
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(* Create a (normalized) expression from [ref_e], |
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replacing description with [norm_d], |
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taking propagated [offsets] into account |
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in order to change expression type *) |
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let mk_norm_expr offsets ref_e norm_d = |
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let drop_array_type ty = |
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Types.map_tuple_type Types.array_element_type ty in |
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{ ref_e with |
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expr_desc = norm_d; |
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expr_type = Utils.repeat (List.length offsets) drop_array_type ref_e.expr_type } |
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|
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(* normalize_<foo> : defs * used vars -> <foo> -> (updated defs * updated vars) * normalized <foo> *) |
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let rec normalize_list alias node offsets norm_element defvars elist = |
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List.fold_right |
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(fun t (defvars, qlist) -> |
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let defvars, norm_t = norm_element alias node offsets defvars t in |
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(defvars, norm_t :: qlist) |
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) elist (defvars, []) |
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|
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let rec normalize_expr ?(alias=true) node offsets defvars expr = |
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(* Format.eprintf "normalize %B %a [%a]@." alias Printers.pp_expr expr (Utils.fprintf_list ~sep:"," Dimension.pp_dimension) offsets;*) |
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match expr.expr_desc with |
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| Expr_const _ |
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| Expr_ident _ -> defvars, unfold_offsets expr offsets |
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| Expr_array elist -> |
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let defvars, norm_elist = normalize_list alias node offsets (fun _ -> normalize_array_expr ~alias:true) defvars elist in |
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let norm_expr = mk_norm_expr offsets expr (Expr_array norm_elist) in |
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mk_expr_alias_opt alias node defvars norm_expr |
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| Expr_power (e1, d) when offsets = [] -> |
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let defvars, norm_e1 = normalize_expr node offsets defvars e1 in |
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let norm_expr = mk_norm_expr offsets expr (Expr_power (norm_e1, d)) in |
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mk_expr_alias_opt alias node defvars norm_expr |
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| Expr_power (e1, d) -> |
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normalize_expr ~alias:alias node (List.tl offsets) defvars e1 |
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| Expr_access (e1, d) -> |
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normalize_expr ~alias:alias node (d::offsets) defvars e1 |
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| Expr_tuple elist -> |
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let defvars, norm_elist = |
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normalize_list alias node offsets (fun alias -> normalize_expr ~alias:alias) defvars elist in |
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defvars, mk_norm_expr offsets expr (Expr_tuple norm_elist) |
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| Expr_appl (id, args, None) |
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when Basic_library.is_internal_fun id |
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&& Types.is_array_type expr.expr_type -> |
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let defvars, norm_args = |
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normalize_list |
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alias |
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node |
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offsets |
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(fun _ -> normalize_array_expr ~alias:true) |
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defvars |
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(expr_list_of_expr args) |
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in |
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defvars, mk_norm_expr offsets expr (Expr_appl (id, expr_of_expr_list args.expr_loc norm_args, None)) |
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| Expr_appl (id, args, None) when Basic_library.is_internal_fun id -> |
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let defvars, norm_args = normalize_expr ~alias:true node offsets defvars args in |
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defvars, mk_norm_expr offsets expr (Expr_appl (id, norm_args, None)) |
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| Expr_appl (id, args, r) -> |
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let defvars, norm_args = normalize_expr node [] defvars args in |
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let norm_expr = mk_norm_expr [] expr (Expr_appl (id, norm_args, r)) in |
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if offsets <> [] |
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then |
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let defvars, norm_expr = normalize_expr node [] defvars norm_expr in |
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normalize_expr ~alias:alias node offsets defvars norm_expr |
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else |
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mk_expr_alias_opt (alias && not (Basic_library.is_internal_fun id)) node defvars norm_expr |
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| Expr_arrow (e1,e2) when !unfold_arrow_active && not (is_expr_once expr) -> (* Here we differ from Colaco paper: arrows are pushed to the top *) |
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normalize_expr ~alias:alias node offsets defvars (unfold_arrow expr) |
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| Expr_arrow (e1,e2) -> |
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let defvars, norm_e1 = normalize_expr node offsets defvars e1 in |
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let defvars, norm_e2 = normalize_expr node offsets defvars e2 in |
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let norm_expr = mk_norm_expr offsets expr (Expr_arrow (norm_e1, norm_e2)) in |
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mk_expr_alias_opt alias node defvars norm_expr |
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| Expr_pre e -> |
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let defvars, norm_e = normalize_expr node offsets defvars e in |
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let norm_expr = mk_norm_expr offsets expr (Expr_pre norm_e) in |
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mk_expr_alias_opt alias node defvars norm_expr |
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| Expr_fby (e1, e2) -> |
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let defvars, norm_e1 = normalize_expr node offsets defvars e1 in |
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let defvars, norm_e2 = normalize_expr node offsets defvars e2 in |
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let norm_expr = mk_norm_expr offsets expr (Expr_fby (norm_e1, norm_e2)) in |
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mk_expr_alias_opt alias node defvars norm_expr |
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| Expr_when (e, c, l) -> |
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let defvars, norm_e = normalize_expr node offsets defvars e in |
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defvars, mk_norm_expr offsets expr (Expr_when (norm_e, c, l)) |
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| Expr_ite (c, t, e) -> |
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let defvars, norm_c = normalize_guard node defvars c in |
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let defvars, norm_t = normalize_cond_expr node offsets defvars t in |
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let defvars, norm_e = normalize_cond_expr node offsets defvars e in |
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let norm_expr = mk_norm_expr offsets expr (Expr_ite (norm_c, norm_t, norm_e)) in |
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mk_expr_alias_opt alias node defvars norm_expr |
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| Expr_merge (c, hl) -> |
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let defvars, norm_hl = normalize_branches node offsets defvars hl in |
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let norm_expr = mk_norm_expr offsets expr (Expr_merge (c, norm_hl)) in |
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mk_expr_alias_opt alias node defvars norm_expr |
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|
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(* Creates a conditional with a merge construct, which is more lazy *) |
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(* |
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let norm_conditional_as_merge alias node norm_expr offsets defvars expr = |
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match expr.expr_desc with |
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| Expr_ite (c, t, e) -> |
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let defvars, norm_t = norm_expr (alias node offsets defvars t in |
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| _ -> assert false |
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*) |
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and normalize_branches node offsets defvars hl = |
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List.fold_right |
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(fun (t, h) (defvars, norm_q) -> |
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let (defvars, norm_h) = normalize_cond_expr node offsets defvars h in |
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defvars, (t, norm_h) :: norm_q |
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) |
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hl (defvars, []) |
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|
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and normalize_array_expr ?(alias=true) node offsets defvars expr = |
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(* Format.eprintf "normalize_array %B %a [%a]@." alias Printers.pp_expr expr (Utils.fprintf_list ~sep:"," Dimension.pp_dimension) offsets;*) |
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match expr.expr_desc with |
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| Expr_power (e1, d) when offsets = [] -> |
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let defvars, norm_e1 = normalize_expr node offsets defvars e1 in |
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defvars, mk_norm_expr offsets expr (Expr_power (norm_e1, d)) |
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| Expr_power (e1, d) -> |
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normalize_array_expr ~alias:alias node (List.tl offsets) defvars e1 |
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| Expr_access (e1, d) -> normalize_array_expr ~alias:alias node (d::offsets) defvars e1 |
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| Expr_array elist when offsets = [] -> |
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let defvars, norm_elist = normalize_list alias node offsets (fun _ -> normalize_array_expr ~alias:true) defvars elist in |
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defvars, mk_norm_expr offsets expr (Expr_array norm_elist) |
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| Expr_appl (id, args, None) when Basic_library.is_internal_fun id -> |
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let defvars, norm_args = normalize_list alias node offsets (fun _ -> normalize_array_expr ~alias:true) defvars (expr_list_of_expr args) in |
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defvars, mk_norm_expr offsets expr (Expr_appl (id, expr_of_expr_list args.expr_loc norm_args, None)) |
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| _ -> normalize_expr ~alias:alias node offsets defvars expr |
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|
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and normalize_cond_expr ?(alias=true) node offsets defvars expr = |
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(*Format.eprintf "normalize_cond %B %a [%a]@." alias Printers.pp_expr expr (Utils.fprintf_list ~sep:"," Dimension.pp_dimension) offsets;*) |
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match expr.expr_desc with |
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| Expr_access (e1, d) -> |
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normalize_cond_expr ~alias:alias node (d::offsets) defvars e1 |
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| Expr_ite (c, t, e) -> |
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let defvars, norm_c = normalize_guard node defvars c in |
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let defvars, norm_t = normalize_cond_expr node offsets defvars t in |
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let defvars, norm_e = normalize_cond_expr node offsets defvars e in |
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defvars, mk_norm_expr offsets expr (Expr_ite (norm_c, norm_t, norm_e)) |
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| Expr_merge (c, hl) -> |
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let defvars, norm_hl = normalize_branches node offsets defvars hl in |
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defvars, mk_norm_expr offsets expr (Expr_merge (c, norm_hl)) |
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| _ -> normalize_expr ~alias:alias node offsets defvars expr |
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|
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and normalize_guard node defvars expr = |
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let defvars, norm_expr = normalize_expr node [] defvars expr in |
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mk_expr_alias_opt true node defvars norm_expr |
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|
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(* outputs cannot be memories as well. If so, introduce new local variable. |
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*) |
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let decouple_outputs node defvars eq = |
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let rec fold_lhs defvars lhs tys cks = |
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match lhs, tys, cks with |
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| [], [], [] -> defvars, [] |
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| v::qv, t::qt, c::qc -> let (defs_q, vars_q), lhs_q = fold_lhs defvars qv qt qc in |
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if List.exists (fun o -> o.var_id = v) node.node_outputs |
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then |
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let newvar = mk_fresh_var node eq.eq_loc t c in |
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let neweq = mkeq eq.eq_loc ([v], mk_ident_expr newvar) in |
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(neweq :: defs_q, newvar :: vars_q), newvar.var_id :: lhs_q |
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else |
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(defs_q, vars_q), v::lhs_q |
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| _ -> assert false in |
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let defvars', lhs' = |
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fold_lhs |
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defvars |
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eq.eq_lhs |
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(Types.type_list_of_type eq.eq_rhs.expr_type) |
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(Clocks.clock_list_of_clock eq.eq_rhs.expr_clock) in |
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defvars', {eq with eq_lhs = lhs' } |
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|
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let rec normalize_eq node defvars eq = |
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match eq.eq_rhs.expr_desc with |
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| Expr_pre _ |
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| Expr_fby _ -> |
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let (defvars', eq') = decouple_outputs node defvars eq in |
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let (defs', vars'), norm_rhs = normalize_expr ~alias:false node [] defvars' eq'.eq_rhs in |
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let norm_eq = { eq' with eq_rhs = norm_rhs } in |
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(norm_eq::defs', vars') |
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| Expr_array _ -> |
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let (defs', vars'), norm_rhs = normalize_array_expr ~alias:false node [] defvars eq.eq_rhs in |
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let norm_eq = { eq with eq_rhs = norm_rhs } in |
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(norm_eq::defs', vars') |
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| Expr_appl (id, _, None) when Basic_library.is_internal_fun id && Types.is_array_type eq.eq_rhs.expr_type -> |
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let (defs', vars'), norm_rhs = normalize_array_expr ~alias:false node [] defvars eq.eq_rhs in |
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let norm_eq = { eq with eq_rhs = norm_rhs } in |
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(norm_eq::defs', vars') |
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| Expr_appl _ -> |
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let (defs', vars'), norm_rhs = normalize_expr ~alias:false node [] defvars eq.eq_rhs in |
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let norm_eq = { eq with eq_rhs = norm_rhs } in |
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(norm_eq::defs', vars') |
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| _ -> |
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let (defs', vars'), norm_rhs = normalize_cond_expr ~alias:false node [] defvars eq.eq_rhs in |
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let norm_eq = { eq with eq_rhs = norm_rhs } in |
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norm_eq::defs', vars' |
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|
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(** normalize_node node returns a normalized node, |
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ie. |
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- updated locals |
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- new equations |
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- |
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*) |
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let normalize_node node = |
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cpt_fresh := 0; |
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let inputs_outputs = node.node_inputs@node.node_outputs in |
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let is_local v = |
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List.for_all ((!=) v) inputs_outputs in |
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let orig_vars = inputs_outputs@node.node_locals in |
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let defs, vars = |
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List.fold_left (normalize_eq node) ([], orig_vars) (get_node_eqs node) in |
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(* Normalize the asserts *) |
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let vars, assert_defs, asserts = |
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List.fold_left ( |
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fun (vars, def_accu, assert_accu) assert_ -> |
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let assert_expr = assert_.assert_expr in |
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let (defs, vars'), expr = |
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normalize_expr |
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~alias:false |
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node |
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[] (* empty offset for arrays *) |
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([], vars) (* defvar only contains vars *) |
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assert_expr |
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in |
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vars', defs@def_accu, {assert_ with assert_expr = expr}::assert_accu |
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) (vars, [], []) node.node_asserts in |
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let new_locals = List.filter is_local vars in |
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(* Compute traceability info: |
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- gather newly bound variables |
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- compute the associated expression without aliases |
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*) |
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let diff_vars = List.filter (fun v -> not (List.mem v node.node_locals) ) new_locals in |
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let norm_traceability = { |
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annots = |
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List.map |
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(fun v -> |
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let expr = substitute_expr diff_vars defs ( |
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let eq = try |
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List.find (fun eq -> eq.eq_lhs = [v.var_id]) defs |
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with Not_found -> (Format.eprintf "var not found %s@." v.var_id; assert false) in |
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eq.eq_rhs) in |
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let pair = mkeexpr expr.expr_loc (mkexpr expr.expr_loc (Expr_tuple [expr_of_ident v.var_id expr.expr_loc; expr])) in |
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["horn_backend";"trace"], pair |
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) |
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diff_vars ; |
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annot_loc = Location.dummy_loc |
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} |
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|
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in |
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let node = |
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{ node with |
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node_locals = new_locals; |
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node_stmts = List.map (fun eq -> Eq eq) (defs @ assert_defs); |
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node_asserts = asserts; |
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node_annot = norm_traceability::node.node_annot; |
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} |
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in ((*Printers.pp_node Format.err_formatter node;*) node) |
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|
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let normalize_decl decl = |
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match decl.top_decl_desc with |
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| Node nd -> |
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{decl with top_decl_desc = Node (normalize_node nd)} |
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| Open _ | ImportedNode _ | Const _ | TypeDef _ -> decl |
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|
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let normalize_prog decls = |
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List.map normalize_decl decls |
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|
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(* Local Variables: *) |
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(* compile-command:"make -C .." *) |
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(* End: *) |