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
|
(************************************************************************)
(* * 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) *)
(************************************************************************)
(** Keys for unification and indexing *)
open Names
open Constr
open Libobject
open Globnames
type key =
| KGlob of GlobRef.t
| KLam
| KLet
| KProd
| KSort
| KCase
| KFix
| KCoFix
| KRel
module KeyOrdered = struct
type t = key
let hash gr =
match gr with
| KGlob gr -> 8 + RefOrdered.hash gr
| KLam -> 0
| KLet -> 1
| KProd -> 2
| KSort -> 3
| KCase -> 4
| KFix -> 5
| KCoFix -> 6
| KRel -> 7
let compare gr1 gr2 =
match gr1, gr2 with
| KGlob gr1, KGlob gr2 -> RefOrdered.compare gr1 gr2
| _, KGlob _ -> -1
| KGlob _, _ -> 1
| k, k' -> Int.compare (hash k) (hash k')
let equal k1 k2 =
match k1, k2 with
| KGlob gr1, KGlob gr2 -> RefOrdered.equal gr1 gr2
| _, KGlob _ -> false
| KGlob _, _ -> false
| k, k' -> k == k'
end
module Keymap = HMap.Make(KeyOrdered)
module Keyset = Keymap.Set
(* Mapping structure for references to be considered equivalent *)
let keys = Summary.ref Keymap.empty ~name:"Keys_decl"
let add_kv k v m =
try Keymap.modify k (fun k' vs -> Keyset.add v vs) m
with Not_found -> Keymap.add k (Keyset.singleton v) m
let add_keys k v =
keys := add_kv k v (add_kv v k !keys)
let equiv_keys k k' =
k == k' || KeyOrdered.equal k k' ||
try Keyset.mem k' (Keymap.find k !keys)
with Not_found -> false
(** Registration of keys as an object *)
let load_keys _ (_,(ref,ref')) =
add_keys ref ref'
let cache_keys o =
load_keys 1 o
let subst_key subst k =
match k with
| KGlob gr -> KGlob (subst_global_reference subst gr)
| _ -> k
let subst_keys (subst,(k,k')) =
(subst_key subst k, subst_key subst k')
let discharge_key = function
| KGlob g when Lib.is_in_section g ->
if isVarRef g then None else Some (KGlob (pop_global_reference g))
| x -> Some x
let discharge_keys (_,(k,k')) =
match discharge_key k, discharge_key k' with
| Some x, Some y -> Some (x, y)
| _ -> None
let rebuild_keys (ref,ref') = (ref, ref')
type key_obj = key * key
let inKeys : key_obj -> obj =
declare_object {(default_object "KEYS") with
cache_function = cache_keys;
load_function = load_keys;
subst_function = subst_keys;
classify_function = (fun x -> Substitute x);
discharge_function = discharge_keys;
rebuild_function = rebuild_keys }
let declare_equiv_keys ref ref' =
Lib.add_anonymous_leaf (inKeys (ref,ref'))
let constr_key kind c =
let open Globnames in
try
let rec aux k =
match kind k with
| Const (c, _) -> KGlob (ConstRef c)
| Ind (i, u) -> KGlob (IndRef i)
| Construct (c,u) -> KGlob (ConstructRef c)
| Var id -> KGlob (VarRef id)
| App (f, _) -> aux f
| Proj (p, _) -> KGlob (ConstRef (Projection.constant p))
| Cast (p, _, _) -> aux p
| Lambda _ -> KLam
| Prod _ -> KProd
| Case _ -> KCase
| Fix _ -> KFix
| CoFix _ -> KCoFix
| Rel _ -> KRel
| Meta _ -> raise Not_found
| Evar _ -> raise Not_found
| Sort _ -> KSort
| LetIn _ -> KLet
in Some (aux c)
with Not_found -> None
open Pp
let pr_key pr_global = function
| KGlob gr -> pr_global gr
| KLam -> str"Lambda"
| KLet -> str"Let"
| KProd -> str"Product"
| KSort -> str"Sort"
| KCase -> str"Case"
| KFix -> str"Fix"
| KCoFix -> str"CoFix"
| KRel -> str"Rel"
let pr_keyset pr_global v =
prlist_with_sep spc (pr_key pr_global) (Keyset.elements v)
let pr_mapping pr_global k v =
pr_key pr_global k ++ str" <-> " ++ pr_keyset pr_global v
let pr_keys pr_global =
Keymap.fold (fun k v acc -> pr_mapping pr_global k v ++ fnl () ++ acc) !keys (mt())
|
