From 9043add656177eeac1491a73d2f3ab92bec0013c Mon Sep 17 00:00:00 2001 From: Benjamin Barenblat Date: Sat, 29 Dec 2018 14:31:27 -0500 Subject: Imported Upstream version 8.8.2 --- kernel/vmvalues.ml | 542 +++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 542 insertions(+) create mode 100644 kernel/vmvalues.ml (limited to 'kernel/vmvalues.ml') diff --git a/kernel/vmvalues.ml b/kernel/vmvalues.ml new file mode 100644 index 00000000..0e0cb4e5 --- /dev/null +++ b/kernel/vmvalues.ml @@ -0,0 +1,542 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* 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 ")") -- cgit v1.2.3