aboutsummaryrefslogtreecommitdiffhomepage
path: root/kernel/cooking.ml
blob: f5059cd750fa51faa7a5c0302d305f933245154b (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
(************************************************************************)
(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
(* <O___,, *   INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016     *)
(*   \VV/  **************************************************************)
(*    //   *      This file is distributed under the terms of the       *)
(*         *       GNU Lesser General Public License Version 2.1        *)
(************************************************************************)

(* Created by Jean-Christophe Filliâtre out of V6.3 file constants.ml
   as part of the rebuilding of Coq around a purely functional
   abstract type-checker, Nov 1999 *)

(* This module implements kernel-level discharching of local
   declarations over global constants and inductive types *)

open CErrors
open Util
open Names
open Term
open Declarations
open Environ
open Univ

module NamedDecl = Context.Named.Declaration

(*s Cooking the constants. *)

let pop_dirpath p = match DirPath.repr p with
  | [] -> anomaly ~label:"dirpath_prefix" (Pp.str "empty dirpath")
  | _::l -> DirPath.make l

let pop_mind kn =
  let (mp,dir,l) = Names.repr_mind kn in
  Names.make_mind mp (pop_dirpath dir) l

let pop_con con =
  let (mp,dir,l) = Names.repr_con con in
  Names.make_con mp (pop_dirpath dir) l

type my_global_reference =
  | ConstRef of constant
  | IndRef of inductive
  | ConstructRef of constructor

module RefHash =
struct
  type t = my_global_reference
  let equal gr1 gr2 = match gr1, gr2 with
  | ConstRef c1, ConstRef c2 -> Constant.SyntacticOrd.equal c1 c2
  | IndRef i1, IndRef i2 -> eq_syntactic_ind i1 i2
  | ConstructRef c1, ConstructRef c2 -> eq_syntactic_constructor c1 c2
  | _ -> false
  open Hashset.Combine
  let hash = function
  | ConstRef c -> combinesmall 1 (Constant.SyntacticOrd.hash c)
  | IndRef i -> combinesmall 2 (ind_syntactic_hash i)
  | ConstructRef c -> combinesmall 3 (constructor_syntactic_hash c)
end

module RefTable = Hashtbl.Make(RefHash)

let instantiate_my_gr gr u =
  match gr with
  | ConstRef c -> mkConstU (c, u)
  | IndRef i -> mkIndU (i, u)
  | ConstructRef c -> mkConstructU (c, u)

let share cache r (cstl,knl) =
  try RefTable.find cache r
  with Not_found ->
  let f,(u,l) =
    match r with
    | IndRef (kn,i) ->
	IndRef (pop_mind kn,i), Mindmap.find kn knl
    | ConstructRef ((kn,i),j) ->
	ConstructRef ((pop_mind kn,i),j), Mindmap.find kn knl
    | ConstRef cst ->
	ConstRef (pop_con cst), Cmap.find cst cstl in
  let c = (f, (u, Array.map mkVar l)) in
  RefTable.add cache r c;
  c

let share_univs cache r u l =
  let r', (u', args) = share cache r l in
    mkApp (instantiate_my_gr r' (Instance.append u' u), args)

let update_case_info cache ci modlist =
  try
    let ind, n =
      match share cache (IndRef ci.ci_ind) modlist with
      | (IndRef f,(u,l)) -> (f, Array.length l)
      | _ -> assert false in
    { ci with ci_ind = ind; ci_npar = ci.ci_npar + n }
  with Not_found ->
    ci

let is_empty_modlist (cm, mm) =
  Cmap.is_empty cm && Mindmap.is_empty mm

let expmod_constr cache modlist c =
  let share_univs = share_univs cache in
  let update_case_info = update_case_info cache in
  let rec substrec c =
    match kind_of_term c with
      | Case (ci,p,t,br) ->
	  map_constr substrec (mkCase (update_case_info ci modlist,p,t,br))

      | Ind (ind,u) ->
	  (try
	    share_univs (IndRef ind) u modlist
	   with
	    | Not_found -> map_constr substrec c)

      | Construct (cstr,u) ->
	  (try
	     share_univs (ConstructRef cstr) u modlist
	   with
	    | Not_found -> map_constr substrec c)

      | Const (cst,u) ->
	  (try
	    share_univs (ConstRef cst) u modlist
	   with
	    | Not_found -> map_constr substrec c)

      | Proj (p, c') ->
          (try 
	     let p' = share_univs (ConstRef (Projection.constant p)) Univ.Instance.empty modlist in
	     let make c = Projection.make c (Projection.unfolded p) in
	     match kind_of_term p' with
	     | Const (p',_) -> mkProj (make p', substrec c')
	     | App (f, args) -> 
	       (match kind_of_term f with 
	       | Const (p', _) -> mkProj (make p', substrec c')
	       | _ -> assert false)
	     | _ -> assert false
	   with Not_found -> map_constr substrec c)

  | _ -> map_constr substrec c

  in
  if is_empty_modlist modlist then c
  else substrec c

let abstract_constant_type =
   List.fold_left (fun c d -> mkNamedProd_wo_LetIn d c)

let abstract_constant_body =
  List.fold_left (fun c d -> mkNamedLambda_or_LetIn d c)

type recipe = { from : constant_body; info : Opaqueproof.cooking_info }
type inline = bool

type result =
  constant_def * constant_type * projection_body option * 
    bool * constant_universes * inline
    * Context.Named.t option

let on_body ml hy f = function
  | Undef _ as x -> x
  | Def cs -> Def (Mod_subst.from_val (f (Mod_subst.force_constr cs)))
  | OpaqueDef o ->
    OpaqueDef (Opaqueproof.discharge_direct_opaque ~cook_constr:f
                 { Opaqueproof.modlist = ml; abstract = hy } o)

let constr_of_def otab = function
  | Undef _ -> assert false
  | Def cs -> Mod_subst.force_constr cs
  | OpaqueDef lc -> Opaqueproof.force_proof otab lc

let expmod_constr_subst cache modlist subst c =
  let c = expmod_constr cache modlist c in
    Vars.subst_univs_level_constr subst c

let cook_constr { Opaqueproof.modlist ; abstract } c =
  let cache = RefTable.create 13 in
  let expmod = expmod_constr_subst cache modlist (pi2 abstract) in
  let hyps = Context.Named.map expmod (pi1 abstract) in
  abstract_constant_body (expmod c) hyps

let lift_univs cb subst =
  if cb.const_polymorphic && not (Univ.LMap.is_empty subst) then
    let inst = Univ.UContext.instance cb.const_universes in
    let cstrs = Univ.UContext.constraints cb.const_universes in
    let len = Univ.LMap.cardinal subst in
    let subst = 
      Array.fold_left_i (fun i acc v -> Univ.LMap.add (Level.var i) (Level.var (i + len)) acc)
	subst (Univ.Instance.to_array inst)
    in
    let cstrs' = Univ.subst_univs_level_constraints subst cstrs in
      subst, Univ.UContext.make (inst,cstrs')
  else subst, cb.const_universes

let cook_constant env { from = cb; info } =
  let { Opaqueproof.modlist; abstract } = info in
  let cache = RefTable.create 13 in
  let abstract, usubst, abs_ctx = abstract in
  let usubst, univs = lift_univs cb usubst in
  let expmod = expmod_constr_subst cache modlist usubst in
  let hyps = Context.Named.map expmod abstract in
  let body = on_body modlist (hyps, usubst, abs_ctx)
    (fun c -> abstract_constant_body (expmod c) hyps)
    cb.const_body
  in
  let const_hyps =
    Context.Named.fold_outside (fun decl hyps ->
      List.filter (fun decl' -> not (Id.equal (NamedDecl.get_id decl) (NamedDecl.get_id decl')))
		  hyps)
      hyps ~init:cb.const_hyps in
  let typ = match cb.const_type with
    | RegularArity t ->
  	let typ =
          abstract_constant_type (expmod t) hyps in
  	RegularArity typ
    | TemplateArity (ctx,s) ->
  	let t = mkArity (ctx,Type s.template_level) in
  	let typ = abstract_constant_type (expmod t) hyps in
  	let j = make_judge (constr_of_def (opaque_tables env) body) typ in
  	Typeops.make_polymorphic_if_constant_for_ind env j
  in
  let projection pb =
    let c' = abstract_constant_body (expmod pb.proj_body) hyps in
    let etab = abstract_constant_body (expmod (fst pb.proj_eta)) hyps in
    let etat = abstract_constant_body (expmod (snd pb.proj_eta)) hyps in
    let ((mind, _), _), n' =
      try 
	let c' = share_univs cache (IndRef (pb.proj_ind,0)) Univ.Instance.empty modlist in
	  match kind_of_term c' with
	  | App (f,l) -> (destInd f, Array.length l)
	  | Ind ind -> ind, 0
	  | _ -> assert false 
      with Not_found -> (((pb.proj_ind,0),Univ.Instance.empty), 0)
    in 
    let typ = (* By invariant, a regular arity *)
      match typ with RegularArity t -> t | TemplateArity _ -> assert false 
    in
    let ctx, ty' = decompose_prod_n (n' + pb.proj_npars + 1) typ in
      { proj_ind = mind; proj_npars = pb.proj_npars + n'; proj_arg = pb.proj_arg;
	proj_eta = etab, etat;
	proj_type = ty'; proj_body = c' }
  in
  let univs = 
    let abs' = 
      if cb.const_polymorphic then abs_ctx
      else instantiate_univ_context abs_ctx
    in
      UContext.union abs' univs
  in
    (body, typ, Option.map projection cb.const_proj, 
     cb.const_polymorphic, univs, cb.const_inline_code, 
     Some const_hyps)

(* let cook_constant_key = Profile.declare_profile "cook_constant" *)
(* let cook_constant = Profile.profile2 cook_constant_key cook_constant *)

let expmod_constr modlist c = expmod_constr (RefTable.create 13) modlist c