author  haftmann 
Wed, 09 Sep 2009 11:31:20 +0200  
changeset 32544  e129333b9df0 
parent 32123  8bac9ee4b28d 
child 32740  9dd0a2f83429 
permissions  rwrr 
24590  1 
(* Title: Tools/nbe.ML 
24155  2 
Authors: Klaus Aehlig, LMU Muenchen; Tobias Nipkow, Florian Haftmann, TU Muenchen 
3 

24839  4 
Normalization by evaluation, based on generic code generator. 
24155  5 
*) 
6 

7 
signature NBE = 

8 
sig 

25101  9 
val norm_conv: cterm > thm 
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changeset

10 
val norm: theory > term > term 
25101  11 

25204  12 
datatype Univ = 
26064  13 
Const of int * Univ list (*named (uninterpreted) constants*) 
25924  14 
 DFree of string * int (*free (uninterpreted) dictionary parameters*) 
24155  15 
 BVar of int * Univ list 
28350  16 
 Abs of (int * (Univ list > Univ)) * Univ list 
25924  17 
val apps: Univ > Univ list > Univ (*explicit applications*) 
25944  18 
val abss: int > (Univ list > Univ) > Univ 
28337  19 
(*abstractions as closures*) 
28350  20 
val same: Univ > Univ > bool 
24155  21 

25204  22 
val univs_ref: (unit > Univ list > Univ list) option ref 
24155  23 
val trace: bool ref 
25924  24 

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val setup: theory > theory 
32544  26 
val add_const_alias: thm > theory > theory 
24155  27 
end; 
28 

29 
structure Nbe: NBE = 

30 
struct 

31 

32 
(* generic nonsense *) 

33 

34 
val trace = ref false; 

32544  35 
fun traced f x = if !trace then (tracing (f x); x) else x; 
24155  36 

37 

32544  38 
(** certificates and oracle for "trivial type classes" **) 
39 

40 
structure Triv_Class_Data = TheoryDataFun 

41 
( 

42 
type T = (class * thm) list; 

43 
val empty = []; 

44 
val copy = I; 

45 
val extend = I; 

46 
fun merge pp = AList.merge (op =) (K true); 

47 
); 

48 

49 
fun add_const_alias thm thy = 

50 
let 

51 
val (ofclass, eqn) = case try Logic.dest_equals (Thm.prop_of thm) 

52 
of SOME ofclass_eq => ofclass_eq 

53 
 _ => error ("Bad certificate: " ^ Display.string_of_thm_global thy thm); 

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val (T, class) = case try Logic.dest_of_class ofclass 

55 
of SOME T_class => T_class 

56 
 _ => error ("Bad certificate: " ^ Display.string_of_thm_global thy thm); 

57 
val tvar = case try Term.dest_TVar T 

58 
of SOME (tvar as (_, sort)) => if null (filter (can (AxClass.get_info thy)) sort) 

59 
then tvar 

60 
else error ("Bad sort: " ^ Display.string_of_thm_global thy thm) 

61 
 _ => error ("Bad type: " ^ Display.string_of_thm_global thy thm); 

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val _ = if Term.add_tvars eqn [] = [tvar] then () 

63 
else error ("Inconsistent type: " ^ Display.string_of_thm_global thy thm); 

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val lhs_rhs = case try Logic.dest_equals eqn 

65 
of SOME lhs_rhs => lhs_rhs 

66 
 _ => error ("Not an equation: " ^ Syntax.string_of_term_global thy eqn); 

67 
val c_c' = case try (pairself (Code.check_const thy)) lhs_rhs 

68 
of SOME c_c' => c_c' 

69 
 _ => error ("Not an equation with two constants: " 

70 
^ Syntax.string_of_term_global thy eqn); 

71 
val _ = if the_list (AxClass.class_of_param thy (snd c_c')) = [class] then () 

72 
else error ("Inconsistent class: " ^ Display.string_of_thm_global thy thm); 

73 
in Triv_Class_Data.map (AList.update (op =) (class, thm)) thy end; 

74 

75 
local 

76 

77 
val get_triv_classes = map fst o Triv_Class_Data.get; 

78 

79 
val (_, triv_of_class) = Context.>>> (Context.map_theory_result 

80 
(Thm.add_oracle (Binding.name "triv_of_class", fn (thy, (v, T), class) => 

81 
Thm.cterm_of thy (Logic.mk_of_class (T, class))))); 

82 

83 
in 

84 

85 
fun lift_triv_classes_conv thy conv ct = 

86 
let 

87 
val algebra = Sign.classes_of thy; 

88 
val triv_classes = get_triv_classes thy; 

89 
val certT = Thm.ctyp_of thy; 

90 
fun critical_classes sort = filter_out (fn class => Sign.subsort thy (sort, [class])) triv_classes; 

91 
val vs = Term.add_tfrees (Thm.term_of ct) [] 

92 
> map_filter (fn (v, sort) => case critical_classes sort 

93 
of [] => NONE 

94 
 classes => SOME (v, ((sort, classes), Sorts.inter_sort algebra (triv_classes, sort)))); 

95 
val of_classes = maps (fn (v, ((sort, classes), _)) => map (fn class => 

96 
((v, class), triv_of_class (thy, (v, TVar ((v, 0), sort)), class))) classes 

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@ map (fn class => ((v, class), Thm.of_class (certT (TVar ((v, 0), sort)), class))) 

98 
sort) vs; 

99 
fun strip_of_class thm = 

100 
let 

101 
val prem_props = (Logic.strip_imp_prems o Thm.prop_of) thm; 

102 
val prem_thms = map (the o AList.lookup (op =) of_classes 

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o apfst (fst o fst o dest_TVar) o Logic.dest_of_class) prem_props; 

104 
in Drule.implies_elim_list thm prem_thms end; 

105 
in ct 

106 
> Drule.cterm_rule Thm.varifyT 

107 
> Thm.instantiate_cterm (Thm.certify_inst thy (map (fn (v, ((sort, _), sort')) => 

108 
(((v, 0), sort), TFree (v, sort'))) vs, [])) 

109 
> Drule.cterm_rule Thm.freezeT 

110 
> conv 

111 
> Thm.varifyT 

112 
> fold (fn (v, (_, sort')) => Thm.unconstrainT (certT (TVar ((v, 0), sort')))) vs 

113 
> Thm.certify_instantiate (map (fn (v, ((sort, _), _)) => 

114 
(((v, 0), []), TVar ((v, 0), sort))) vs, []) 

115 
> strip_of_class 

116 
> Thm.freezeT 

117 
end; 

118 

119 
fun lift_triv_classes_rew thy rew t = 

120 
let 

121 
val algebra = Sign.classes_of thy; 

122 
val triv_classes = get_triv_classes thy; 

123 
val vs = Term.add_tfrees t []; 

124 
in t 

125 
> (map_types o map_type_tfree) 

126 
(fn (v, sort) => TFree (v, Sorts.inter_sort algebra (sort, triv_classes))) 

127 
> rew 

128 
> (map_types o map_type_tfree) 

129 
(fn (v, _) => TFree (v, the (AList.lookup (op =) vs v))) 

130 
end; 

131 

132 
end; 

133 

134 

135 
(** the semantic universe **) 

24155  136 

137 
(* 

138 
Functions are given by their semantical function value. To avoid 

139 
trouble with the MLtype system, these functions have the most 

140 
generic type, that is "Univ list > Univ". The calling convention is 

141 
that the arguments come as a list, the last argument first. In 

142 
other words, a function call that usually would look like 

143 

144 
f x_1 x_2 ... x_n or f(x_1,x_2, ..., x_n) 

145 

146 
would be in our convention called as 

147 

148 
f [x_n,..,x_2,x_1] 

149 

150 
Moreover, to handle functions that are still waiting for some 

151 
arguments we have additionally a list of arguments collected to far 

152 
and the number of arguments we're still waiting for. 

153 
*) 

154 

25204  155 
datatype Univ = 
26064  156 
Const of int * Univ list (*named (uninterpreted) constants*) 
25924  157 
 DFree of string * int (*free (uninterpreted) dictionary parameters*) 
27499  158 
 BVar of int * Univ list (*bound variables, named*) 
24155  159 
 Abs of (int * (Univ list > Univ)) * Univ list 
27499  160 
(*abstractions as closures*); 
24155  161 

28350  162 
fun same (Const (k, xs)) (Const (l, ys)) = k = l andalso sames xs ys 
163 
 same (DFree (s, k)) (DFree (t, l)) = s = t andalso k = l 

164 
 same (BVar (k, xs)) (BVar (l, ys)) = k = l andalso sames xs ys 

165 
 same _ _ = false 

166 
and sames xs ys = length xs = length ys andalso forall (uncurry same) (xs ~~ ys); 

167 

24155  168 
(* constructor functions *) 
169 

25944  170 
fun abss n f = Abs ((n, f), []); 
25924  171 
fun apps (Abs ((n, f), xs)) ys = let val k = n  length ys in 
27499  172 
case int_ord (k, 0) 
173 
of EQUAL => f (ys @ xs) 

174 
 LESS => let val (zs, ws) = chop (~ k) ys in apps (f (ws @ xs)) zs end 

175 
 GREATER => Abs ((k, f), ys @ xs) (*note: reverse convention also for apps!*) 

176 
end 

25924  177 
 apps (Const (name, xs)) ys = Const (name, ys @ xs) 
27499  178 
 apps (BVar (n, xs)) ys = BVar (n, ys @ xs); 
24155  179 

180 

181 
(** assembling and compiling ML code from terms **) 

182 

183 
(* abstract ML syntax *) 

184 

185 
infix 9 `$` `$$`; 

186 
fun e1 `$` e2 = "(" ^ e1 ^ " " ^ e2 ^ ")"; 

25101  187 
fun e `$$` [] = e 
188 
 e `$$` es = "(" ^ e ^ " " ^ space_implode " " es ^ ")"; 

24590  189 
fun ml_abs v e = "(fn " ^ v ^ " => " ^ e ^ ")"; 
24155  190 

191 
fun ml_cases t cs = 

192 
"(case " ^ t ^ " of " ^ space_implode "  " (map (fn (p, t) => p ^ " => " ^ t) cs) ^ ")"; 

25944  193 
fun ml_Let d e = "let\n" ^ d ^ " in " ^ e ^ " end"; 
28337  194 
fun ml_as v t = "(" ^ v ^ " as " ^ t ^ ")"; 
24155  195 

28350  196 
fun ml_and [] = "true" 
197 
 ml_and [x] = x 

198 
 ml_and xs = "(" ^ space_implode " andalso " xs ^ ")"; 

199 
fun ml_if b x y = "(if " ^ b ^ " then " ^ x ^ " else " ^ y ^ ")"; 

200 

24155  201 
fun ml_list es = "[" ^ commas es ^ "]"; 
202 

203 
fun ml_fundefs ([(name, [([], e)])]) = 

204 
"val " ^ name ^ " = " ^ e ^ "\n" 

205 
 ml_fundefs (eqs :: eqss) = 

206 
let 

207 
fun fundef (name, eqs) = 

208 
let 

209 
fun eqn (es, e) = name ^ " " ^ space_implode " " es ^ " = " ^ e 

210 
in space_implode "\n  " (map eqn eqs) end; 

211 
in 

212 
(prefix "fun " o fundef) eqs :: map (prefix "and " o fundef) eqss 

26931  213 
> cat_lines 
24155  214 
> suffix "\n" 
215 
end; 

216 

25944  217 
(* nbe specific syntax and sandbox communication *) 
218 

219 
val univs_ref = ref (NONE : (unit > Univ list > Univ list) option); 

24155  220 

221 
local 

28350  222 
val prefix = "Nbe."; 
223 
val name_ref = prefix ^ "univs_ref"; 

224 
val name_const = prefix ^ "Const"; 

225 
val name_abss = prefix ^ "abss"; 

226 
val name_apps = prefix ^ "apps"; 

227 
val name_same = prefix ^ "same"; 

24155  228 
in 
229 

25944  230 
val univs_cookie = (name_ref, univs_ref); 
231 

28337  232 
fun nbe_fun 0 "" = "nbe_value" 
233 
 nbe_fun i c = "c_" ^ translate_string (fn "." => "_"  c => c) c ^ "_" ^ string_of_int i; 

25101  234 
fun nbe_dict v n = "d_" ^ v ^ "_" ^ string_of_int n; 
24155  235 
fun nbe_bound v = "v_" ^ v; 
31888  236 
fun nbe_bound_optional NONE = "_" 
237 
 nbe_bound_optional (SOME v) = nbe_bound v; 

28337  238 
fun nbe_default v = "w_" ^ v; 
24155  239 

25924  240 
(*note: these three are the "turning spots" where proper argument order is established!*) 
241 
fun nbe_apps t [] = t 

242 
 nbe_apps t ts = name_apps `$$` [t, ml_list (rev ts)]; 

28337  243 
fun nbe_apps_local i c ts = nbe_fun i c `$` ml_list (rev ts); 
244 
fun nbe_apps_constr idx_of c ts = 

245 
let 

246 
val c' = if !trace then string_of_int (idx_of c) ^ " (*" ^ c ^ "*)" 

247 
else string_of_int (idx_of c); 

248 
in name_const `$` ("(" ^ c' ^ ", " ^ ml_list (rev ts) ^ ")") end; 

25924  249 

24155  250 
fun nbe_abss 0 f = f `$` ml_list [] 
25944  251 
 nbe_abss n f = name_abss `$$` [string_of_int n, f]; 
24155  252 

28350  253 
fun nbe_same v1 v2 = "(" ^ name_same ^ " " ^ nbe_bound v1 ^ " " ^ nbe_bound v2 ^ ")"; 
254 

24155  255 
end; 
256 

28054  257 
open Basic_Code_Thingol; 
24155  258 

25865  259 
(* code generation *) 
24155  260 

26064  261 
fun assemble_eqnss idx_of deps eqnss = 
25944  262 
let 
263 
fun prep_eqns (c, (vs, eqns)) = 

25924  264 
let 
25944  265 
val dicts = maps (fn (v, sort) => map_index (nbe_dict v o fst) sort) vs; 
28337  266 
val num_args = length dicts + ((length o fst o hd) eqns); 
25944  267 
in (c, (num_args, (dicts, eqns))) end; 
268 
val eqnss' = map prep_eqns eqnss; 

269 

270 
fun assemble_constapp c dss ts = 

271 
let 

272 
val ts' = (maps o map) assemble_idict dss @ ts; 

273 
in case AList.lookup (op =) eqnss' c 

28337  274 
of SOME (num_args, _) => if num_args <= length ts' 
275 
then let val (ts1, ts2) = chop num_args ts' 

276 
in nbe_apps (nbe_apps_local 0 c ts1) ts2 

277 
end else nbe_apps (nbe_abss num_args (nbe_fun 0 c)) ts' 

25944  278 
 NONE => if member (op =) deps c 
28337  279 
then nbe_apps (nbe_fun 0 c) ts' 
280 
else nbe_apps_constr idx_of c ts' 

25924  281 
end 
25944  282 
and assemble_idict (DictConst (inst, dss)) = 
283 
assemble_constapp inst dss [] 

284 
 assemble_idict (DictVar (supers, (v, (n, _)))) = 

285 
fold_rev (fn super => assemble_constapp super [] o single) supers (nbe_dict v n); 

25924  286 

28350  287 
fun assemble_iterm constapp = 
24155  288 
let 
28350  289 
fun of_iterm match_cont t = 
25944  290 
let 
28054  291 
val (t', ts) = Code_Thingol.unfold_app t 
28350  292 
in of_iapp match_cont t' (fold_rev (cons o of_iterm NONE) ts []) end 
31049  293 
and of_iapp match_cont (IConst (c, ((_, dss), _))) ts = constapp c dss ts 
31889  294 
 of_iapp match_cont (IVar v) ts = nbe_apps (nbe_bound_optional v) ts 
31724  295 
 of_iapp match_cont ((v, _) `=> t) ts = 
31888  296 
nbe_apps (nbe_abss 1 (ml_abs (ml_list [nbe_bound_optional v]) (of_iterm NONE t))) ts 
28350  297 
 of_iapp match_cont (ICase (((t, _), cs), t0)) ts = 
298 
nbe_apps (ml_cases (of_iterm NONE t) 

299 
(map (fn (p, t) => (of_iterm NONE p, of_iterm match_cont t)) cs 

300 
@ [("_", case match_cont of SOME s => s  NONE => of_iterm NONE t0)])) ts 

25944  301 
in of_iterm end; 
24155  302 

28350  303 
fun subst_nonlin_vars args = 
304 
let 

305 
val vs = (fold o Code_Thingol.fold_varnames) 

306 
(fn v => AList.map_default (op =) (v, 0) (curry (op +) 1)) args []; 

307 
val names = Name.make_context (map fst vs); 

308 
fun declare v k ctxt = let val vs = Name.invents ctxt v k 

309 
in (vs, fold Name.declare vs ctxt) end; 

310 
val (vs_renames, _) = fold_map (fn (v, k) => if k > 1 

311 
then declare v (k  1) #>> (fn vs => (v, vs)) 

312 
else pair (v, [])) vs names; 

313 
val samepairs = maps (fn (v, vs) => map (pair v) vs) vs_renames; 

314 
fun subst_vars (t as IConst _) samepairs = (t, samepairs) 

31889  315 
 subst_vars (t as IVar NONE) samepairs = (t, samepairs) 
316 
 subst_vars (t as IVar (SOME v)) samepairs = (case AList.lookup (op =) samepairs v 

317 
of SOME v' => (IVar (SOME v'), AList.delete (op =) v samepairs) 

28350  318 
 NONE => (t, samepairs)) 
319 
 subst_vars (t1 `$ t2) samepairs = samepairs 

320 
> subst_vars t1 

321 
>> subst_vars t2 

322 
>> (op `$) 

323 
 subst_vars (ICase (_, t)) samepairs = subst_vars t samepairs; 

324 
val (args', _) = fold_map subst_vars args samepairs; 

325 
in (samepairs, args') end; 

326 

28337  327 
fun assemble_eqn c dicts default_args (i, (args, rhs)) = 
328 
let 

329 
val is_eval = (c = ""); 

330 
val default_rhs = nbe_apps_local (i+1) c (dicts @ default_args); 

331 
val match_cont = if is_eval then NONE else SOME default_rhs; 

28350  332 
val assemble_arg = assemble_iterm 
333 
(fn c => fn _ => fn ts => nbe_apps_constr idx_of c ts) NONE; 

334 
val assemble_rhs = assemble_iterm assemble_constapp match_cont ; 

335 
val (samepairs, args') = subst_nonlin_vars args; 

336 
val s_args = map assemble_arg args'; 

337 
val s_rhs = if null samepairs then assemble_rhs rhs 

338 
else ml_if (ml_and (map (uncurry nbe_same) samepairs)) 

339 
(assemble_rhs rhs) default_rhs; 

28337  340 
val eqns = if is_eval then 
28350  341 
[([ml_list (rev (dicts @ s_args))], s_rhs)] 
28337  342 
else 
28350  343 
[([ml_list (rev (dicts @ map2 ml_as default_args s_args))], s_rhs), 
28337  344 
([ml_list (rev (dicts @ default_args))], default_rhs)] 
345 
in (nbe_fun i c, eqns) end; 

346 

25944  347 
fun assemble_eqns (c, (num_args, (dicts, eqns))) = 
348 
let 

28337  349 
val default_args = map nbe_default 
350 
(Name.invent_list [] "a" (num_args  length dicts)); 

351 
val eqns' = map_index (assemble_eqn c dicts default_args) eqns 

352 
@ (if c = "" then [] else [(nbe_fun (length eqns) c, 

353 
[([ml_list (rev (dicts @ default_args))], 

354 
nbe_apps_constr idx_of c (dicts @ default_args))])]); 

355 
in (eqns', nbe_abss num_args (nbe_fun 0 c)) end; 

24155  356 

25944  357 
val (fun_vars, fun_vals) = map_split assemble_eqns eqnss'; 
28337  358 
val deps_vars = ml_list (map (nbe_fun 0) deps); 
359 
in ml_abs deps_vars (ml_Let (ml_fundefs (flat fun_vars)) (ml_list fun_vals)) end; 

25944  360 

361 
(* code compilation *) 

362 

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ML_Context.evaluate: proper context (for ML environment);
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changeset

363 
fun compile_eqnss _ gr raw_deps [] = [] 
9873697fa411
ML_Context.evaluate: proper context (for ML environment);
wenzelm
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diff
changeset

364 
 compile_eqnss ctxt gr raw_deps eqnss = 
24155  365 
let 
26064  366 
val (deps, deps_vals) = split_list (map_filter 
367 
(fn dep => Option.map (fn univ => (dep, univ)) (fst ((Graph.get_node gr dep)))) raw_deps); 

368 
val idx_of = raw_deps 

369 
> map (fn dep => (dep, snd (Graph.get_node gr dep))) 

370 
> AList.lookup (op =) 

371 
> (fn f => the o f); 

372 
val s = assemble_eqnss idx_of deps eqnss; 

24155  373 
val cs = map fst eqnss; 
25944  374 
in 
375 
s 

32544  376 
> traced (fn s => "\n code to be evaluated:\n" ^ s) 
30672
beaadd5af500
more systematic type use_context, with particular values ML_Parse.global_context and ML_Context.local_context;
wenzelm
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diff
changeset

377 
> ML_Context.evaluate ctxt (!trace) univs_cookie 
25944  378 
> (fn f => f deps_vals) 
379 
> (fn univs => cs ~~ univs) 

380 
end; 

25190  381 

30672
beaadd5af500
more systematic type use_context, with particular values ML_Parse.global_context and ML_Context.local_context;
wenzelm
parents:
30288
diff
changeset

382 

25944  383 
(* preparing function equations *) 
24155  384 

28663
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code identifier namings are no longer imperative
haftmann
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changeset

385 
fun eqns_of_stmt (_, Code_Thingol.Fun (_, (_, []))) = 
25101  386 
[] 
28663
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code identifier namings are no longer imperative
haftmann
parents:
28423
diff
changeset

387 
 eqns_of_stmt (const, Code_Thingol.Fun (_, ((vs, _), eqns))) = 
25101  388 
[(const, (vs, map fst eqns))] 
28054  389 
 eqns_of_stmt (_, Code_Thingol.Datatypecons _) = 
25101  390 
[] 
28054  391 
 eqns_of_stmt (_, Code_Thingol.Datatype _) = 
25101  392 
[] 
28663
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code identifier namings are no longer imperative
haftmann
parents:
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diff
changeset

393 
 eqns_of_stmt (class, Code_Thingol.Class (_, (v, (superclasses, classops)))) = 
25101  394 
let 
395 
val names = map snd superclasses @ map fst classops; 

396 
val params = Name.invent_list [] "d" (length names); 

397 
fun mk (k, name) = 

398 
(name, ([(v, [])], 

31889  399 
[([IConst (class, (([], []), [])) `$$ map (IVar o SOME) params], 
400 
IVar (SOME (nth params k)))])); 

25101  401 
in map_index mk names end 
28054  402 
 eqns_of_stmt (_, Code_Thingol.Classrel _) = 
25101  403 
[] 
28054  404 
 eqns_of_stmt (_, Code_Thingol.Classparam _) = 
25101  405 
[] 
28054  406 
 eqns_of_stmt (inst, Code_Thingol.Classinst ((class, (_, arities)), (superinsts, instops))) = 
31049  407 
[(inst, (arities, [([], IConst (class, (([], []), [])) `$$ 
408 
map (fn (_, (_, (inst, dicts))) => IConst (inst, (([], dicts), []))) superinsts 

25101  409 
@ map (IConst o snd o fst) instops)]))]; 
24155  410 

28274
9873697fa411
ML_Context.evaluate: proper context (for ML environment);
wenzelm
parents:
28227
diff
changeset

411 
fun compile_stmts ctxt stmts_deps = 
25101  412 
let 
413 
val names = map (fst o fst) stmts_deps; 

414 
val names_deps = map (fn ((name, _), deps) => (name, deps)) stmts_deps; 

415 
val eqnss = maps (eqns_of_stmt o fst) stmts_deps; 

26064  416 
val refl_deps = names_deps 
25190  417 
> maps snd 
418 
> distinct (op =) 

26064  419 
> fold (insert (op =)) names; 
420 
fun new_node name (gr, (maxidx, idx_tab)) = if can (Graph.get_node gr) name 

421 
then (gr, (maxidx, idx_tab)) 

422 
else (Graph.new_node (name, (NONE, maxidx)) gr, 

423 
(maxidx + 1, Inttab.update_new (maxidx, name) idx_tab)); 

25190  424 
fun compile gr = eqnss 
28274
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parents:
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425 
> compile_eqnss ctxt gr refl_deps 
25190  426 
> rpair gr; 
25101  427 
in 
26064  428 
fold new_node refl_deps 
429 
#> apfst (fold (fn (name, deps) => fold (curry Graph.add_edge name) deps) names_deps 

430 
#> compile 

431 
#> fold (fn (name, univ) => (Graph.map_node name o apfst) (K (SOME univ)))) 

25101  432 
end; 
24155  433 

28706  434 
fun ensure_stmts ctxt naming program = 
25101  435 
let 
26064  436 
fun add_stmts names (gr, (maxidx, idx_tab)) = if exists ((can o Graph.get_node) gr) names 
437 
then (gr, (maxidx, idx_tab)) 

438 
else (gr, (maxidx, idx_tab)) 

28274
9873697fa411
ML_Context.evaluate: proper context (for ML environment);
wenzelm
parents:
28227
diff
changeset

439 
> compile_stmts ctxt (map (fn name => ((name, Graph.get_node program name), 
27103  440 
Graph.imm_succs program name)) names); 
28706  441 
in 
442 
fold_rev add_stmts (Graph.strong_conn program) 

443 
#> pair naming 

444 
end; 

24155  445 

25944  446 

447 
(** evaluation **) 

448 

449 
(* term evaluation *) 

450 

30947  451 
fun eval_term ctxt gr deps (vs : (string * sort) list, t) = 
25924  452 
let 
453 
val dict_frees = maps (fn (v, sort) => map_index (curry DFree v o fst) sort) vs; 

454 
in 

31064  455 
("", (vs, [([], t)])) 
28274
9873697fa411
ML_Context.evaluate: proper context (for ML environment);
wenzelm
parents:
28227
diff
changeset

456 
> singleton (compile_eqnss ctxt gr deps) 
25924  457 
> snd 
31064  458 
> (fn t => apps t (rev dict_frees)) 
25924  459 
end; 
24155  460 

24839  461 
(* reification *) 
24155  462 

30947  463 
fun typ_of_itype program vs (ityco `%% itys) = 
464 
let 

465 
val Code_Thingol.Datatype (tyco, _) = Graph.get_node program ityco; 

466 
in Type (tyco, map (typ_of_itype program vs) itys) end 

467 
 typ_of_itype program vs (ITyVar v) = 

468 
let 

469 
val sort = (the o AList.lookup (op =) vs) v; 

470 
in TFree ("'" ^ v, sort) end; 

471 

28663
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diff
changeset

472 
fun term_of_univ thy program idx_tab t = 
24155  473 
let 
25101  474 
fun take_until f [] = [] 
475 
 take_until f (x::xs) = if f x then [] else x :: take_until f xs; 

28663
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code identifier namings are no longer imperative
haftmann
parents:
28423
diff
changeset

476 
fun is_dict (Const (idx, _)) = (case (Graph.get_node program o the o Inttab.lookup idx_tab) idx 
bd8438543bf2
code identifier namings are no longer imperative
haftmann
parents:
28423
diff
changeset

477 
of Code_Thingol.Class _ => true 
bd8438543bf2
code identifier namings are no longer imperative
haftmann
parents:
28423
diff
changeset

478 
 Code_Thingol.Classrel _ => true 
bd8438543bf2
code identifier namings are no longer imperative
haftmann
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diff
changeset

479 
 Code_Thingol.Classinst _ => true 
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code identifier namings are no longer imperative
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parents:
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diff
changeset

480 
 _ => false) 
25101  481 
 is_dict (DFree _) = true 
482 
 is_dict _ = false; 

28663
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code identifier namings are no longer imperative
haftmann
parents:
28423
diff
changeset

483 
fun const_of_idx idx = (case (Graph.get_node program o the o Inttab.lookup idx_tab) idx 
bd8438543bf2
code identifier namings are no longer imperative
haftmann
parents:
28423
diff
changeset

484 
of Code_Thingol.Fun (c, _) => c 
bd8438543bf2
code identifier namings are no longer imperative
haftmann
parents:
28423
diff
changeset

485 
 Code_Thingol.Datatypecons (c, _) => c 
bd8438543bf2
code identifier namings are no longer imperative
haftmann
parents:
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diff
changeset

486 
 Code_Thingol.Classparam (c, _) => c); 
24155  487 
fun of_apps bounds (t, ts) = 
488 
fold_map (of_univ bounds) ts 

489 
#>> (fn ts' => list_comb (t, rev ts')) 

26064  490 
and of_univ bounds (Const (idx, ts)) typidx = 
24155  491 
let 
25101  492 
val ts' = take_until is_dict ts; 
28663
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code identifier namings are no longer imperative
haftmann
parents:
28423
diff
changeset

493 
val c = const_of_idx idx; 
31957  494 
val T = map_type_tvar (fn ((v, i), _) => 
495 
TypeInfer.param typidx (v ^ string_of_int i, [])) 

496 
(Sign.the_const_type thy c); 

30022
1d8b8fa19074
maintain order of constructors in datatypes; clarified conventions for type schemes
haftmann
parents:
29272
diff
changeset

497 
val typidx' = typidx + 1; 
31957  498 
in of_apps bounds (Term.Const (c, T), ts') typidx' end 
27499  499 
 of_univ bounds (BVar (n, ts)) typidx = 
500 
of_apps bounds (Bound (bounds  n  1), ts) typidx 

24155  501 
 of_univ bounds (t as Abs _) typidx = 
502 
typidx 

25924  503 
> of_univ (bounds + 1) (apps t [BVar (bounds, [])]) 
24155  504 
> (fn t' => pair (Term.Abs ("u", dummyT, t'))) 
505 
in of_univ 0 t 0 > fst end; 

506 

25101  507 
(* function store *) 
508 

31962  509 
structure Nbe_Functions = Code_Data_Fun 
25101  510 
( 
28706  511 
type T = Code_Thingol.naming * ((Univ option * int) Graph.T * (int * string Inttab.table)); 
512 
val empty = (Code_Thingol.empty_naming, (Graph.empty, (0, Inttab.empty))); 

513 
fun purge thy cs (naming, (gr, (maxidx, idx_tab))) = 

27609  514 
let 
28706  515 
val names_delete = cs 
516 
> map_filter (Code_Thingol.lookup_const naming) 

517 
> filter (can (Graph.get_node gr)) 

518 
> Graph.all_preds gr; 

519 
val gr' = Graph.del_nodes names_delete gr; 

520 
in (naming, (gr', (maxidx, idx_tab))) end; 

25101  521 
); 
522 

523 
(* compilation, evaluation and reification *) 

524 

30947  525 
fun compile_eval thy naming program vs_t deps = 
26064  526 
let 
28274
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ML_Context.evaluate: proper context (for ML environment);
wenzelm
parents:
28227
diff
changeset

527 
val ctxt = ProofContext.init thy; 
28706  528 
val (_, (gr, (_, idx_tab))) = 
529 
Nbe_Functions.change thy (ensure_stmts ctxt naming program o snd); 

26064  530 
in 
30947  531 
vs_t 
28274
9873697fa411
ML_Context.evaluate: proper context (for ML environment);
wenzelm
parents:
28227
diff
changeset

532 
> eval_term ctxt gr deps 
28663
bd8438543bf2
code identifier namings are no longer imperative
haftmann
parents:
28423
diff
changeset

533 
> term_of_univ thy program idx_tab 
26064  534 
end; 
25101  535 

24155  536 
(* evaluation with type reconstruction *) 
537 

31064  538 
fun normalize thy naming program ((vs0, (vs, ty)), t) deps = 
24155  539 
let 
30947  540 
val ty' = typ_of_itype program vs0 ty; 
27264  541 
fun type_infer t = 
542 
singleton (TypeInfer.infer_types (Syntax.pp_global thy) (Sign.tsig_of thy) I 

543 
(try (Type.strip_sorts o Sign.the_const_type thy)) (K NONE) Name.context 0) 

30947  544 
(TypeInfer.constrain ty' t); 
29272  545 
fun check_tvars t = if null (Term.add_tvars t []) then t else 
24155  546 
error ("Illegal schematic type variables in normalized term: " 
26952
df36f4c52ee8
command 'normal_form': proper context via Variable.auto_fixes;
wenzelm
parents:
26931
diff
changeset

547 
^ setmp show_types true (Syntax.string_of_term_global thy) t); 
df36f4c52ee8
command 'normal_form': proper context via Variable.auto_fixes;
wenzelm
parents:
26931
diff
changeset

548 
val string_of_term = setmp show_types true (Syntax.string_of_term_global thy); 
24155  549 
in 
30947  550 
compile_eval thy naming program (vs, t) deps 
32544  551 
> traced (fn t => "Normalized:\n" ^ string_of_term t) 
26739  552 
> type_infer 
32544  553 
> traced (fn t => "Types inferred:\n" ^ string_of_term t) 
26739  554 
> check_tvars 
32544  555 
> traced (fn t => "\n") 
24155  556 
end; 
557 

32544  558 

24155  559 
(* evaluation oracle *) 
560 

30947  561 
fun mk_equals thy lhs raw_rhs = 
26747
f32fa5f5bdd1
moved 'trivial classes' to foundation of code generator
haftmann
parents:
26739
diff
changeset

562 
let 
30947  563 
val ty = Thm.typ_of (Thm.ctyp_of_term lhs); 
564 
val eq = Thm.cterm_of thy (Term.Const ("==", ty > ty > propT)); 

565 
val rhs = Thm.cterm_of thy raw_rhs; 

566 
in Thm.mk_binop eq lhs rhs end; 

26747
f32fa5f5bdd1
moved 'trivial classes' to foundation of code generator
haftmann
parents:
26739
diff
changeset

567 

30942
1e246776f876
diagnostic commands now in code_thingol; tuned code of funny continuations
haftmann
parents:
30672
diff
changeset

568 
val (_, raw_norm_oracle) = Context.>>> (Context.map_theory_result 
31064  569 
(Thm.add_oracle (Binding.name "norm", fn (thy, naming, program, vsp_ty_t, deps, ct) => 
570 
mk_equals thy ct (normalize thy naming program vsp_ty_t deps)))); 

571 

572 
fun norm_oracle thy naming program vsp_ty_t deps ct = 

573 
raw_norm_oracle (thy, naming, program, vsp_ty_t, deps, ct); 

30942
1e246776f876
diagnostic commands now in code_thingol; tuned code of funny continuations
haftmann
parents:
30672
diff
changeset

574 

31064  575 
fun no_frees_conv conv ct = 
576 
let 

577 
val frees = Thm.add_cterm_frees ct []; 

578 
fun apply_beta free thm = Thm.combination thm (Thm.reflexive free) 

579 
> Conv.fconv_rule (Conv.arg_conv (Conv.try_conv (Thm.beta_conversion false))) 

580 
> Conv.fconv_rule (Conv.arg1_conv (Thm.beta_conversion false)); 

581 
in 

582 
ct 

583 
> fold_rev Thm.cabs frees 

584 
> conv 

585 
> fold apply_beta frees 

586 
end; 

30942
1e246776f876
diagnostic commands now in code_thingol; tuned code of funny continuations
haftmann
parents:
30672
diff
changeset

587 

31064  588 
fun no_frees_rew rew t = 
589 
let 

590 
val frees = map Free (Term.add_frees t []); 

591 
in 

592 
t 

593 
> fold_rev lambda frees 

594 
> rew 

595 
> (fn t' => Term.betapplys (t', frees)) 

596 
end; 

597 

598 
val norm_conv = no_frees_conv (fn ct => 

24155  599 
let 
600 
val thy = Thm.theory_of_cterm ct; 

32544  601 
in lift_triv_classes_conv thy (Code_Thingol.eval_conv thy (norm_oracle thy)) ct end); 
24155  602 

32544  603 
fun norm thy = lift_triv_classes_rew thy (no_frees_rew (Code_Thingol.eval thy I (normalize thy))); 
24839  604 

24155  605 
(* evaluation command *) 
606 

607 
fun norm_print_term ctxt modes t = 

608 
let 

609 
val thy = ProofContext.theory_of ctxt; 

30970
3fe2e418a071
generic postprocessing scheme for term evaluations
haftmann
parents:
30947
diff
changeset

610 
val t' = norm thy t; 
24839  611 
val ty' = Term.type_of t'; 
26952
df36f4c52ee8
command 'normal_form': proper context via Variable.auto_fixes;
wenzelm
parents:
26931
diff
changeset

612 
val ctxt' = Variable.auto_fixes t ctxt; 
24634  613 
val p = PrintMode.with_modes modes (fn () => 
26952
df36f4c52ee8
command 'normal_form': proper context via Variable.auto_fixes;
wenzelm
parents:
26931
diff
changeset

614 
Pretty.block [Pretty.quote (Syntax.pretty_term ctxt' t'), Pretty.fbrk, 
df36f4c52ee8
command 'normal_form': proper context via Variable.auto_fixes;
wenzelm
parents:
26931
diff
changeset

615 
Pretty.str "::", Pretty.brk 1, Pretty.quote (Syntax.pretty_typ ctxt' ty')]) (); 
24155  616 
in Pretty.writeln p end; 
617 

618 

619 
(** Isar setup **) 

620 

24508
c8b82fec6447
replaced ProofContext.read_term/prop by general Syntax.read_term/prop;
wenzelm
parents:
24493
diff
changeset

621 
fun norm_print_term_cmd (modes, s) state = 
24155  622 
let val ctxt = Toplevel.context_of state 
24508
c8b82fec6447
replaced ProofContext.read_term/prop by general Syntax.read_term/prop;
wenzelm
parents:
24493
diff
changeset

623 
in norm_print_term ctxt modes (Syntax.read_term ctxt s) end; 
24155  624 

30970
3fe2e418a071
generic postprocessing scheme for term evaluations
haftmann
parents:
30947
diff
changeset

625 
val setup = Value.add_evaluator ("nbe", norm o ProofContext.theory_of); 
24155  626 

627 
local structure P = OuterParse and K = OuterKeyword in 

628 

629 
val opt_modes = Scan.optional (P.$$$ "("  P.!!! (Scan.repeat1 P.xname  P.$$$ ")")) []; 

630 

24867  631 
val _ = 
24155  632 
OuterSyntax.improper_command "normal_form" "normalize term by evaluation" K.diag 
28227  633 
(opt_modes  P.term >> (Toplevel.keep o norm_print_term_cmd)); 
24155  634 

635 
end; 

636 

637 
end; 

28337  638 