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+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \VV/ **************************************************************)
+(* // * This file is distributed under the terms of the *)
+(* * GNU Lesser General Public License Version 2.1 *)
+(* * (see LICENSE file for the text of the license) *)
+(************************************************************************)
+open Names
+open Sorts
+open Cbytecodes
+open Univ
+
+(*******************************************)
+(* Initalization of the abstract machine ***)
+(* Necessary for [relaccu_tbl] *)
+(*******************************************)
+
+external init_vm : unit -> unit = "init_coq_vm"
+
+let _ = init_vm ()
+
+(******************************************************)
+(* Abstract data types and utility functions **********)
+(******************************************************)
+
+(* Values of the abstract machine *)
+type values
+let val_of_obj v = ((Obj.obj v):values)
+let crazy_val = (val_of_obj (Obj.repr 0))
+
+(* Abstract data *)
+type vprod
+type vfun
+type vfix
+type vcofix
+type vblock
+type arguments
+
+let fun_val v = (Obj.magic v : values)
+let fix_val v = (Obj.magic v : values)
+let cofix_upd_val v = (Obj.magic v : values)
+
+type vm_env
+let fun_env v = (Obj.magic v : vm_env)
+let fix_env v = (Obj.magic v : vm_env)
+let cofix_env v = (Obj.magic v : vm_env)
+let cofix_upd_env v = (Obj.magic v : vm_env)
+type vstack = values array
+
+let fun_of_val v = (Obj.magic v : vfun)
+
+(*******************************************)
+(* Machine code *** ************************)
+(*******************************************)
+
+type tcode
+
+external mkAccuCode : int -> tcode = "coq_makeaccu"
+external offset_tcode : tcode -> int -> tcode = "coq_offset_tcode"
+
+let tcode_of_obj v = ((Obj.obj v):tcode)
+let fun_code v = tcode_of_obj (Obj.field (Obj.repr v) 0)
+let fix_code v = fun_code v
+let cofix_upd_code v = fun_code v
+
+
+type vswitch = {
+ sw_type_code : tcode;
+ sw_code : tcode;
+ sw_annot : annot_switch;
+ sw_stk : vstack;
+ sw_env : vm_env
+ }
+
+(* Representation of values *)
+(* + Products : *)
+(* - vprod = 0_[ dom | codom] *)
+(* dom : values, codom : vfun *)
+(* *)
+(* + Functions have two representations : *)
+(* - unapplied fun : vf = Ct_[ C | fv1 | ... | fvn] *)
+(* C:tcode, fvi : values *)
+(* Remark : a function and its environment is the same value. *)
+(* - partially applied fun : Ct_[Restart:C| vf | arg1 | ... argn] *)
+(* *)
+(* + Fixpoints : *)
+(* - Ct_[C1|Infix_t|C2|...|Infix_t|Cn|fv1|...|fvn] *)
+(* One single block to represent all of the fixpoints, each fixpoint *)
+(* is the pointer to the field holding the pointer to its code, and *)
+(* the infix tag is used to know where the block starts. *)
+(* - Partial application follows the scheme of partially applied *)
+(* functions. Note: only fixpoints not having been applied to its *)
+(* recursive argument are coded this way. When the rec. arg. is *)
+(* applied, either it's a constructor and the fix reduces, or it's *)
+(* and the fix is coded as an accumulator. *)
+(* *)
+(* + Cofixpoints : see cbytegen.ml *)
+(* *)
+(* + vblock's encode (non constant) constructors as in Ocaml, but *)
+(* starting from 0 up. tag 0 ( = accu_tag) is reserved for *)
+(* accumulators. *)
+(* *)
+(* + vm_env is the type of the machine environments (i.e. a function or *)
+(* a fixpoint) *)
+(* *)
+(* + Accumulators : At_[accumulate| accu | arg1 | ... | argn ] *)
+(* - representation of [accu] : tag_[....] *)
+(* -- tag <= 3 : encoding atom type (sorts, free vars, etc.) *)
+(* -- 10_[accu|proj name] : a projection blocked by an accu *)
+(* -- 11_[accu|fix_app] : a fixpoint blocked by an accu *)
+(* -- 12_[accu|vswitch] : a match blocked by an accu *)
+(* -- 13_[fcofix] : a cofix function *)
+(* -- 14_[fcofix|val] : a cofix function, val represent the value *)
+(* of the function applied to arg1 ... argn *)
+(* The [arguments] type, which is abstracted as an array, represents : *)
+(* tag[ _ | _ |v1|... | vn] *)
+(* Generally the first field is a code pointer. *)
+
+(* Do not edit this type without editing C code, especially "coq_values.h" *)
+
+type id_key =
+| ConstKey of Constant.t
+| VarKey of Id.t
+| RelKey of Int.t
+| EvarKey of Evar.t
+
+let eq_id_key k1 k2 = match k1, k2 with
+| ConstKey c1, ConstKey c2 -> Constant.equal c1 c2
+| VarKey id1, VarKey id2 -> Id.equal id1 id2
+| RelKey n1, RelKey n2 -> Int.equal n1 n2
+| EvarKey evk1, EvarKey evk2 -> Evar.equal evk1 evk2
+| _ -> false
+
+type atom =
+ | Aid of id_key
+ | Aind of inductive
+ | Asort of Sorts.t
+
+(* Zippers *)
+
+type zipper =
+ | Zapp of arguments
+ | Zfix of vfix*arguments (* Possibly empty *)
+ | Zswitch of vswitch
+ | Zproj of Constant.t (* name of the projection *)
+
+type stack = zipper list
+
+type to_update = values
+
+type whd =
+ | Vprod of vprod
+ | Vfun of vfun
+ | Vfix of vfix * arguments option
+ | Vcofix of vcofix * to_update * arguments option
+ | Vconstr_const of int
+ | Vconstr_block of vblock
+ | Vatom_stk of atom * stack
+ | Vuniv_level of Univ.Level.t
+
+(* Functions over arguments *)
+let nargs : arguments -> int = fun args -> (Obj.size (Obj.repr args)) - 2
+let arg args i =
+ if 0 <= i && i < (nargs args) then
+ val_of_obj (Obj.field (Obj.repr args) (i+2))
+ else invalid_arg
+ ("Vm.arg size = "^(string_of_int (nargs args))^
+ " acces "^(string_of_int i))
+
+(*************************************************)
+(* Destructors ***********************************)
+(*************************************************)
+
+let uni_lvl_val (v : values) : Univ.Level.t =
+ let whd = Obj.magic v in
+ match whd with
+ | Vuniv_level lvl -> lvl
+ | _ ->
+ let pr =
+ let open Pp in
+ match whd with
+ | Vprod _ -> str "Vprod"
+ | Vfun _ -> str "Vfun"
+ | Vfix _ -> str "Vfix"
+ | Vcofix _ -> str "Vcofix"
+ | Vconstr_const i -> str "Vconstr_const"
+ | Vconstr_block b -> str "Vconstr_block"
+ | Vatom_stk (a,stk) -> str "Vatom_stk"
+ | _ -> assert false
+ in
+ CErrors.anomaly
+ Pp.( strbrk "Parsing virtual machine value expected universe level, got "
+ ++ pr ++ str ".")
+
+let rec whd_accu a stk =
+ let stk =
+ if Int.equal (Obj.size a) 2 then stk
+ else Zapp (Obj.obj a) :: stk in
+ let at = Obj.field a 1 in
+ match Obj.tag at with
+ | i when Int.equal i type_atom_tag ->
+ begin match stk with
+ | [] -> Vatom_stk(Obj.magic at, stk)
+ | [Zapp args] ->
+ let args = Array.init (nargs args) (arg args) in
+ let s = Obj.obj (Obj.field at 0) in
+ begin match s with
+ | Type u ->
+ let inst = Instance.of_array (Array.map uni_lvl_val args) in
+ let u = Univ.subst_instance_universe inst u in
+ Vatom_stk (Asort (Type u), [])
+ | _ -> assert false
+ end
+ | _ -> assert false
+ end
+ | i when i <= max_atom_tag ->
+ Vatom_stk(Obj.magic at, stk)
+ | i when Int.equal i proj_tag ->
+ let zproj = Zproj (Obj.obj (Obj.field at 0)) in
+ whd_accu (Obj.field at 1) (zproj :: stk)
+ | i when Int.equal i fix_app_tag ->
+ let fa = Obj.field at 1 in
+ let zfix =
+ Zfix (Obj.obj (Obj.field fa 1), Obj.obj fa) in
+ whd_accu (Obj.field at 0) (zfix :: stk)
+ | i when Int.equal i switch_tag ->
+ let zswitch = Zswitch (Obj.obj (Obj.field at 1)) in
+ whd_accu (Obj.field at 0) (zswitch :: stk)
+ | i when Int.equal i cofix_tag ->
+ let vcfx = Obj.obj (Obj.field at 0) in
+ let to_up = Obj.obj a in
+ begin match stk with
+ | [] -> Vcofix(vcfx, to_up, None)
+ | [Zapp args] -> Vcofix(vcfx, to_up, Some args)
+ | _ -> assert false
+ end
+ | i when Int.equal i cofix_evaluated_tag ->
+ let vcofix = Obj.obj (Obj.field at 0) in
+ let res = Obj.obj a in
+ begin match stk with
+ | [] -> Vcofix(vcofix, res, None)
+ | [Zapp args] -> Vcofix(vcofix, res, Some args)
+ | _ -> assert false
+ end
+ | tg ->
+ CErrors.anomaly
+ Pp.(strbrk "Failed to parse VM value. Tag = " ++ int tg ++ str ".")
+
+external kind_of_closure : Obj.t -> int = "coq_kind_of_closure"
+external is_accumulate : tcode -> bool = "coq_is_accumulate_code"
+external int_tcode : tcode -> int -> int = "coq_int_tcode"
+external accumulate : unit -> tcode = "accumulate_code"
+let accumulate = accumulate ()
+
+let whd_val : values -> whd =
+ fun v ->
+ let o = Obj.repr v in
+ if Obj.is_int o then Vconstr_const (Obj.obj o)
+ else
+ let tag = Obj.tag o in
+ if tag = accu_tag then
+ if is_accumulate (fun_code o) then whd_accu o []
+ else Vprod(Obj.obj o)
+ else
+ if tag = Obj.closure_tag || tag = Obj.infix_tag then
+ (match kind_of_closure o with
+ | 0 -> Vfun(Obj.obj o)
+ | 1 -> Vfix(Obj.obj o, None)
+ | 2 -> Vfix(Obj.obj (Obj.field o 1), Some (Obj.obj o))
+ | 3 -> Vatom_stk(Aid(RelKey(int_tcode (fun_code o) 1)), [])
+ | _ -> CErrors.anomaly ~label:"Vm.whd " (Pp.str "kind_of_closure does not work."))
+ else
+ Vconstr_block(Obj.obj o)
+
+(**********************************************)
+(* Constructors *******************************)
+(**********************************************)
+
+let obj_of_atom : atom -> Obj.t =
+ fun a ->
+ let res = Obj.new_block accu_tag 2 in
+ Obj.set_field res 0 (Obj.repr accumulate);
+ Obj.set_field res 1 (Obj.repr a);
+ res
+
+(* obj_of_str_const : structured_constant -> Obj.t *)
+let rec obj_of_str_const str =
+ match str with
+ | Const_sort s -> obj_of_atom (Asort s)
+ | Const_ind ind -> obj_of_atom (Aind ind)
+ | Const_proj p -> Obj.repr p
+ | Const_b0 tag -> Obj.repr tag
+ | Const_bn(tag, args) ->
+ let len = Array.length args in
+ let res = Obj.new_block tag len in
+ for i = 0 to len - 1 do
+ Obj.set_field res i (obj_of_str_const args.(i))
+ done;
+ res
+ | Const_univ_level l -> Obj.repr (Vuniv_level l)
+
+let val_of_obj o = ((Obj.obj o) : values)
+
+let val_of_str_const str = val_of_obj (obj_of_str_const str)
+
+let val_of_atom a = val_of_obj (obj_of_atom a)
+
+let atom_of_proj kn v =
+ let r = Obj.new_block proj_tag 2 in
+ Obj.set_field r 0 (Obj.repr kn);
+ Obj.set_field r 1 (Obj.repr v);
+ ((Obj.obj r) : atom)
+
+let val_of_proj kn v =
+ val_of_atom (atom_of_proj kn v)
+
+module IdKeyHash =
+struct
+ type t = id_key
+ let equal = eq_id_key
+ open Hashset.Combine
+ let hash = function
+ | ConstKey c -> combinesmall 1 (Constant.hash c)
+ | VarKey id -> combinesmall 2 (Id.hash id)
+ | RelKey i -> combinesmall 3 (Int.hash i)
+ | EvarKey evk -> combinesmall 4 (Evar.hash evk)
+end
+
+module KeyTable = Hashtbl.Make(IdKeyHash)
+
+let idkey_tbl = KeyTable.create 31
+
+let val_of_idkey key =
+ try KeyTable.find idkey_tbl key
+ with Not_found ->
+ let v = val_of_atom (Aid key) in
+ KeyTable.add idkey_tbl key v;
+ v
+
+let val_of_rel k = val_of_idkey (RelKey k)
+
+let val_of_named id = val_of_idkey (VarKey id)
+
+let val_of_constant c = val_of_idkey (ConstKey c)
+
+let val_of_evar evk = val_of_idkey (EvarKey evk)
+
+external val_of_annot_switch : annot_switch -> values = "%identity"
+
+(*************************************************)
+(** Operations manipulating data types ***********)
+(*************************************************)
+
+(* Functions over products *)
+
+let dom : vprod -> values = fun p -> val_of_obj (Obj.field (Obj.repr p) 0)
+let codom : vprod -> vfun = fun p -> (Obj.obj (Obj.field (Obj.repr p) 1))
+
+(* Functions over vfun *)
+
+external closure_arity : vfun -> int = "coq_closure_arity"
+
+(* Functions over fixpoint *)
+
+external offset : Obj.t -> int = "coq_offset"
+external offset_closure : Obj.t -> int -> Obj.t = "coq_offset_closure"
+external offset_closure_fix : vfix -> int -> vm_env = "coq_offset_closure"
+
+let first o = (offset_closure o (offset o))
+let first_fix (v:vfix) = (Obj.magic (first (Obj.repr v)) : vfix)
+
+let last o = (Obj.field o (Obj.size o - 1))
+let fix_types (v:vfix) = (Obj.magic (last (Obj.repr v)) : tcode array)
+let cofix_types (v:vcofix) = (Obj.magic (last (Obj.repr v)) : tcode array)
+
+let current_fix vf = - (offset (Obj.repr vf) / 2)
+
+let unsafe_fb_code fb i = tcode_of_obj (Obj.field (Obj.repr fb) (2 * i))
+
+let unsafe_rec_arg fb i = int_tcode (unsafe_fb_code fb i) 1
+
+let rec_args vf =
+ let fb = first (Obj.repr vf) in
+ let size = Obj.size (last fb) in
+ Array.init size (unsafe_rec_arg fb)
+
+exception FALSE
+
+let check_fix f1 f2 =
+ let i1, i2 = current_fix f1, current_fix f2 in
+ (* Checking starting point *)
+ if i1 = i2 then
+ let fb1,fb2 = first (Obj.repr f1), first (Obj.repr f2) in
+ let n = Obj.size (last fb1) in
+ (* Checking number of definitions *)
+ if n = Obj.size (last fb2) then
+ (* Checking recursive arguments *)
+ try
+ for i = 0 to n - 1 do
+ if unsafe_rec_arg fb1 i <> unsafe_rec_arg fb2 i
+ then raise FALSE
+ done;
+ true
+ with FALSE -> false
+ else false
+ else false
+
+external atom_rel : unit -> atom array = "get_coq_atom_tbl"
+external realloc_atom_rel : int -> unit = "realloc_coq_atom_tbl"
+
+let relaccu_tbl =
+ let atom_rel = atom_rel() in
+ let len = Array.length atom_rel in
+ for i = 0 to len - 1 do atom_rel.(i) <- Aid (RelKey i) done;
+ ref (Array.init len mkAccuCode)
+
+let relaccu_code i =
+ let len = Array.length !relaccu_tbl in
+ if i < len then !relaccu_tbl.(i)
+ else
+ begin
+ realloc_atom_rel i;
+ let atom_rel = atom_rel () in
+ let nl = Array.length atom_rel in
+ for j = len to nl - 1 do atom_rel.(j) <- Aid(RelKey j) done;
+ relaccu_tbl :=
+ Array.init nl
+ (fun j -> if j < len then !relaccu_tbl.(j) else mkAccuCode j);
+ !relaccu_tbl.(i)
+ end
+
+let mk_fix_body k ndef fb =
+ let e = Obj.dup (Obj.repr fb) in
+ for i = 0 to ndef - 1 do
+ Obj.set_field e (2 * i) (Obj.repr (relaccu_code (k + i)))
+ done;
+ let fix_body i =
+ let jump_grabrec c = offset_tcode c 2 in
+ let c = jump_grabrec (unsafe_fb_code fb i) in
+ let res = Obj.new_block Obj.closure_tag 2 in
+ Obj.set_field res 0 (Obj.repr c);
+ Obj.set_field res 1 (offset_closure e (2*i));
+ ((Obj.obj res) : vfun) in
+ Array.init ndef fix_body
+
+(* Functions over vcofix *)
+
+let get_fcofix vcf i =
+ match whd_val (Obj.obj (Obj.field (Obj.repr vcf) (i+1))) with
+ | Vcofix(vcfi, _, _) -> vcfi
+ | _ -> assert false
+
+let current_cofix vcf =
+ let ndef = Obj.size (last (Obj.repr vcf)) in
+ let rec find_cofix pos =
+ if pos < ndef then
+ if get_fcofix vcf pos == vcf then pos
+ else find_cofix (pos+1)
+ else raise Not_found in
+ try find_cofix 0
+ with Not_found -> assert false
+
+let check_cofix vcf1 vcf2 =
+ (current_cofix vcf1 = current_cofix vcf2) &&
+ (Obj.size (last (Obj.repr vcf1)) = Obj.size (last (Obj.repr vcf2)))
+
+let mk_cofix_body apply_varray k ndef vcf =
+ let e = Obj.dup (Obj.repr vcf) in
+ for i = 0 to ndef - 1 do
+ Obj.set_field e (i+1) (Obj.repr (val_of_rel (k+i)))
+ done;
+
+ let cofix_body i =
+ let vcfi = get_fcofix vcf i in
+ let c = Obj.field (Obj.repr vcfi) 0 in
+ Obj.set_field e 0 c;
+ let atom = Obj.new_block cofix_tag 1 in
+ let self = Obj.new_block accu_tag 2 in
+ Obj.set_field self 0 (Obj.repr accumulate);
+ Obj.set_field self 1 (Obj.repr atom);
+ apply_varray (Obj.obj e) [|Obj.obj self|] in
+ Array.init ndef cofix_body
+
+(* Functions over vblock *)
+
+let btag : vblock -> int = fun b -> Obj.tag (Obj.repr b)
+let bsize : vblock -> int = fun b -> Obj.size (Obj.repr b)
+let bfield b i =
+ if 0 <= i && i < (bsize b) then val_of_obj (Obj.field (Obj.repr b) i)
+ else invalid_arg "Vm.bfield"
+
+
+(* Functions over vswitch *)
+
+let check_switch sw1 sw2 = sw1.sw_annot.rtbl = sw2.sw_annot.rtbl
+
+let branch_arg k (tag,arity) =
+ if Int.equal arity 0 then ((Obj.magic tag):values)
+ else
+ let b, ofs =
+ if tag < last_variant_tag then Obj.new_block tag arity, 0
+ else
+ let b = Obj.new_block last_variant_tag (arity+1) in
+ Obj.set_field b 0 (Obj.repr (tag-last_variant_tag));
+ b,1 in
+ for i = ofs to ofs + arity - 1 do
+ Obj.set_field b i (Obj.repr (val_of_rel (k+i)))
+ done;
+ val_of_obj b
+
+(* Printing *)
+
+let rec pr_atom a =
+ Pp.(match a with
+ | Aid c -> str "Aid(" ++ (match c with
+ | ConstKey c -> Constant.print c
+ | RelKey i -> str "#" ++ int i
+ | _ -> str "...") ++ str ")"
+ | Aind (mi,i) -> str "Aind(" ++ MutInd.print mi ++ str "#" ++ int i ++ str ")"
+ | Asort _ -> str "Asort(")
+and pr_whd w =
+ Pp.(match w with
+ | Vprod _ -> str "Vprod"
+ | Vfun _ -> str "Vfun"
+ | Vfix _ -> str "Vfix"
+ | Vcofix _ -> str "Vcofix"
+ | Vconstr_const i -> str "Vconstr_const(" ++ int i ++ str ")"
+ | Vconstr_block b -> str "Vconstr_block"
+ | Vatom_stk (a,stk) -> str "Vatom_stk(" ++ pr_atom a ++ str ", " ++ pr_stack stk ++ str ")"
+ | Vuniv_level _ -> assert false)
+and pr_stack stk =
+ Pp.(match stk with
+ | [] -> str "[]"
+ | s :: stk -> pr_zipper s ++ str " :: " ++ pr_stack stk)
+and pr_zipper z =
+ Pp.(match z with
+ | Zapp args -> str "Zapp(len = " ++ int (nargs args) ++ str ")"
+ | Zfix (f,args) -> str "Zfix(..., len=" ++ int (nargs args) ++ str ")"
+ | Zswitch s -> str "Zswitch(...)"
+ | Zproj c -> str "Zproj(" ++ Constant.print c ++ str ")")