1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 (* ********************************************************************** *)
18 (* Cosimo Oliboni, oliboni@cs.unibo.it *)
20 (* ********************************************************************** *)
22 include "compiler/preast_tree.ma".
23 include "compiler/ast_tree.ma".
25 (* *********************** *)
26 (* PASSO 1 DI COMPILAZIONE *)
27 (* *********************** *)
30 PREAST_VAR_ID: aux_str_type → preast_var
31 PREAST_VAR_ARRAY: preast_var → preast_expr → preast_var
32 PREAST_VAR_STRUCT: ne_list preast_var → nat → preast_var.
34 let rec evaluate_var_type (preast:preast_var) (e:aux_env_type) on preast : option (Prod bool ast_type) ≝
36 [ PREAST_VAR_ID name ⇒
37 opt_map ?? (get_desc_env_aux e (None ?) name)
38 (λdesc.Some ? (pair ?? (get_const_desc desc) (get_type_desc desc)))
39 | PREAST_VAR_ARRAY subVar expr ⇒
40 opt_map ?? (evaluate_var_type subVar e)
41 (λcDesc.match snd ?? cDesc with
42 [ AST_TYPE_ARRAY subType dim ⇒ Some ? (pair ?? (fst ?? cDesc) subType)
44 | PREAST_VAR_STRUCT subVar field ⇒
45 opt_map ?? (evaluate_var_type subVar e)
46 (λcDesc.match snd ?? cDesc with
47 [ AST_TYPE_STRUCT nelSubType ⇒
48 opt_map ?? (nth_neList ? nelSubType field)
49 (λsubType.Some ? (pair ?? (fst ?? cDesc) subType))
54 PREAST_EXPR_BYTE8 : byte8 → preast_expr
55 PREAST_EXPR_WORD16: word16 → preast_expr
56 PREAST_EXPR_WORD32: word32 → preast_expr
57 PREAST_EXPR_NEG: preast_expr → preast_expr
58 PREAST_EXPR_NOT: preast_expr → preast_expr
59 PREAST_EXPR_COM: preast_expr → preast_expr
60 PREAST_EXPR_ADD: preast_expr → preast_expr → preast_expr
61 PREAST_EXPR_SUB: preast_expr → preast_expr → preast_expr
62 PREAST_EXPR_MUL: preast_expr → preast_expr → preast_expr
63 PREAST_EXPR_DIV: preast_expr → preast_expr → preast_expr
64 PREAST_EXPR_SHR: preast_expr → preast_expr → preast_expr
65 PREAST_EXPR_SHL: preast_expr → preast_expr → preast_expr
66 PREAST_EXPR_GT : preast_expr → preast_expr → preast_expr
67 PREAST_EXPR_GTE: preast_expr → preast_expr → preast_expr
68 PREAST_EXPR_LT : preast_expr → preast_expr → preast_expr
69 PREAST_EXPR_LTE: preast_expr → preast_expr → preast_expr
70 PREAST_EXPR_EQ : preast_expr → preast_expr → preast_expr
71 PREAST_EXPR_NEQ: preast_expr → preast_expr → preast_expr
72 PREAST_EXPR_B8toW16 : preast_expr → preast_expr
73 PREAST_EXPR_B8toW32 : preast_expr → preast_expr
74 PREAST_EXPR_W16toB8 : preast_expr → preast_expr
75 PREAST_EXPR_W16toW32: preast_expr → preast_expr
76 PREAST_EXPR_W32toB8 : preast_expr → preast_expr
77 PREAST_EXPR_W32toW16: preast_expr → preast_expr
78 PREAST_EXPR_ID: preast_var → preast_expr
80 let rec evaluate_expr_type (preast:preast_expr) (e:aux_env_type) on preast : option ast_base_type ≝
82 [ PREAST_EXPR_BYTE8 _ ⇒ Some ? AST_BASE_TYPE_BYTE8
83 | PREAST_EXPR_WORD16 _ ⇒ Some ? AST_BASE_TYPE_WORD16
84 | PREAST_EXPR_WORD32 _ ⇒ Some ? AST_BASE_TYPE_WORD32
85 | PREAST_EXPR_NEG subExpr ⇒ evaluate_expr_type subExpr e
86 | PREAST_EXPR_NOT subExpr ⇒ evaluate_expr_type subExpr e
87 | PREAST_EXPR_COM subExpr ⇒ evaluate_expr_type subExpr e
88 | PREAST_EXPR_ADD subExpr1 subExpr2 ⇒
89 opt_map ?? (evaluate_expr_type subExpr1 e)
90 (λt1.opt_map ?? (evaluate_expr_type subExpr2 e)
91 (λt2.match eq_ast_base_type t1 t2 with [ true ⇒ Some ? t1 | false ⇒ None ? ]))
92 | PREAST_EXPR_SUB subExpr1 subExpr2 ⇒
93 opt_map ?? (evaluate_expr_type subExpr1 e)
94 (λt1.opt_map ?? (evaluate_expr_type subExpr2 e)
95 (λt2.match eq_ast_base_type t1 t2 with [ true ⇒ Some ? t1 | false ⇒ None ? ]))
96 | PREAST_EXPR_MUL subExpr1 subExpr2 ⇒
97 opt_map ?? (evaluate_expr_type subExpr1 e)
98 (λt1.opt_map ?? (evaluate_expr_type subExpr2 e)
99 (λt2.match eq_ast_base_type t1 t2 with [ true ⇒ Some ? t1 | false ⇒ None ? ]))
100 | PREAST_EXPR_DIV subExpr1 subExpr2 ⇒
101 opt_map ?? (evaluate_expr_type subExpr1 e)
102 (λt1.opt_map ?? (evaluate_expr_type subExpr2 e)
103 (λt2.match eq_ast_base_type t1 t2 with [ true ⇒ Some ? t1 | false ⇒ None ? ]))
104 | PREAST_EXPR_SHR subExpr1 subExpr2 ⇒
105 opt_map ?? (evaluate_expr_type subExpr1 e)
106 (λt1.opt_map ?? (evaluate_expr_type subExpr2 e)
107 (λt2.match eq_ast_base_type t2 AST_BASE_TYPE_BYTE8 with [ true ⇒ Some ? t1 | false ⇒ None ? ]))
108 | PREAST_EXPR_SHL subExpr1 subExpr2 ⇒
109 opt_map ?? (evaluate_expr_type subExpr1 e)
110 (λt1.opt_map ?? (evaluate_expr_type subExpr2 e)
111 (λt2.match eq_ast_base_type t2 AST_BASE_TYPE_BYTE8 with [ true ⇒ Some ? t1 | false ⇒ None ? ]))
112 | PREAST_EXPR_GT subExpr1 subExpr2 ⇒
113 opt_map ?? (evaluate_expr_type subExpr1 e)
114 (λt1.opt_map ?? (evaluate_expr_type subExpr2 e)
115 (λt2.match eq_ast_base_type t1 t2 with [ true ⇒ Some ? AST_BASE_TYPE_BYTE8 | false ⇒ None ? ]))
116 | PREAST_EXPR_GTE subExpr1 subExpr2 ⇒
117 opt_map ?? (evaluate_expr_type subExpr1 e)
118 (λt1.opt_map ?? (evaluate_expr_type subExpr2 e)
119 (λt2.match eq_ast_base_type t1 t2 with [ true ⇒ Some ? AST_BASE_TYPE_BYTE8 | false ⇒ None ? ]))
120 | PREAST_EXPR_LT subExpr1 subExpr2 ⇒
121 opt_map ?? (evaluate_expr_type subExpr1 e)
122 (λt1.opt_map ?? (evaluate_expr_type subExpr2 e)
123 (λt2.match eq_ast_base_type t1 t2 with [ true ⇒ Some ? AST_BASE_TYPE_BYTE8 | false ⇒ None ? ]))
124 | PREAST_EXPR_LTE subExpr1 subExpr2 ⇒
125 opt_map ?? (evaluate_expr_type subExpr1 e)
126 (λt1.opt_map ?? (evaluate_expr_type subExpr2 e)
127 (λt2.match eq_ast_base_type t1 t2 with [ true ⇒ Some ? AST_BASE_TYPE_BYTE8 | false ⇒ None ? ]))
128 | PREAST_EXPR_EQ subExpr1 subExpr2 ⇒
129 opt_map ?? (evaluate_expr_type subExpr1 e)
130 (λt1.opt_map ?? (evaluate_expr_type subExpr2 e)
131 (λt2.match eq_ast_base_type t1 t2 with [ true ⇒ Some ? AST_BASE_TYPE_BYTE8 | false ⇒ None ? ]))
132 | PREAST_EXPR_NEQ subExpr1 subExpr2 ⇒
133 opt_map ?? (evaluate_expr_type subExpr1 e)
134 (λt1.opt_map ?? (evaluate_expr_type subExpr2 e)
135 (λt2.match eq_ast_base_type t1 t2 with [ true ⇒ Some ? AST_BASE_TYPE_BYTE8 | false ⇒ None ? ]))
136 | PREAST_EXPR_B8toW16 subExpr ⇒
137 opt_map ?? (evaluate_expr_type subExpr e)
138 (λt.match eq_ast_base_type t AST_BASE_TYPE_BYTE8 with [ true ⇒ Some ? AST_BASE_TYPE_WORD16 | false ⇒ None ? ])
139 | PREAST_EXPR_B8toW32 subExpr ⇒
140 opt_map ?? (evaluate_expr_type subExpr e)
141 (λt.match eq_ast_base_type t AST_BASE_TYPE_BYTE8 with [ true ⇒ Some ? AST_BASE_TYPE_WORD32 | false ⇒ None ? ])
142 | PREAST_EXPR_W16toB8 subExpr ⇒
143 opt_map ?? (evaluate_expr_type subExpr e)
144 (λt.match eq_ast_base_type t AST_BASE_TYPE_WORD16 with [ true ⇒ Some ? AST_BASE_TYPE_BYTE8 | false ⇒ None ? ])
145 | PREAST_EXPR_W16toW32 subExpr ⇒
146 opt_map ?? (evaluate_expr_type subExpr e)
147 (λt.match eq_ast_base_type t AST_BASE_TYPE_WORD16 with [ true ⇒ Some ? AST_BASE_TYPE_WORD32 | false ⇒ None ? ])
148 | PREAST_EXPR_W32toB8 subExpr ⇒
149 opt_map ?? (evaluate_expr_type subExpr e)
150 (λt.match eq_ast_base_type t AST_BASE_TYPE_WORD32 with [ true ⇒ Some ? AST_BASE_TYPE_BYTE8 | false ⇒ None ? ])
151 | PREAST_EXPR_W32toW16 subExpr ⇒
152 opt_map ?? (evaluate_expr_type subExpr e)
153 (λt.match eq_ast_base_type t AST_BASE_TYPE_WORD32 with [ true ⇒ Some ? AST_BASE_TYPE_WORD16 | false ⇒ None ? ])
154 | PREAST_EXPR_ID var ⇒
155 opt_map ?? (evaluate_var_type var e)
156 (λcDesc.match snd ?? cDesc with [ AST_TYPE_BASE bType ⇒ Some ? bType | _ ⇒ None ? ])
159 inductive sigma (A:Type) (P:A \to Type) : Type \def
160 sigma_intro: \forall x:A. P x \to sigma A P.
162 notation < "hvbox(\Sigma ident i opt (: ty) break . p)"
163 right associative with precedence 20
164 for @{ 'Sigma ${default
165 @{\lambda ${ident i} : $ty. $p}
166 @{\lambda ${ident i} . $p}}}.
168 notation > "\Sigma list1 ident x sep , opt (: T). term 19 Px"
171 @{ ${ fold right @{$Px} rec acc @{'Sigma (λ${ident x}:$T.$acc)} } }
172 @{ ${ fold right @{$Px} rec acc @{'Sigma (λ${ident x}.$acc)} } }
175 notation "\ll term 19 a, break term 19 b \gg"
176 with precedence 90 for @{'dependent_pair (λx:?.? x) $a $b}.
177 interpretation "dependent pair" 'dependent_pair \eta.c a b = (sigma_intro _ c a b).
180 interpretation "sigma" 'Sigma \eta.x = (sigma _ x).
184 PREAST_EXPR_BYTE8 : byte8 → preast_expr
185 PREAST_EXPR_WORD16: word16 → preast_expr
186 PREAST_EXPR_WORD32: word32 → preast_expr
187 PREAST_EXPR_NEG: preast_expr → preast_expr
188 PREAST_EXPR_NOT: preast_expr → preast_expr
189 PREAST_EXPR_COM: preast_expr → preast_expr
190 PREAST_EXPR_ADD: preast_expr → preast_expr → preast_expr
191 PREAST_EXPR_SUB: preast_expr → preast_expr → preast_expr
192 PREAST_EXPR_MUL: preast_expr → preast_expr → preast_expr
193 PREAST_EXPR_DIV: preast_expr → preast_expr → preast_expr
194 PREAST_EXPR_SHR: preast_expr → preast_expr → preast_expr
195 PREAST_EXPR_SHL: preast_expr → preast_expr → preast_expr
196 PREAST_EXPR_GT : preast_expr → preast_expr → preast_expr
197 PREAST_EXPR_GTE: preast_expr → preast_expr → preast_expr
198 PREAST_EXPR_LT : preast_expr → preast_expr → preast_expr
199 PREAST_EXPR_LTE: preast_expr → preast_expr → preast_expr
200 PREAST_EXPR_EQ : preast_expr → preast_expr → preast_expr
201 PREAST_EXPR_NEQ: preast_expr → preast_expr → preast_expr
202 PREAST_EXPR_B8toW16 : preast_expr → preast_expr
203 PREAST_EXPR_B8toW32 : preast_expr → preast_expr
204 PREAST_EXPR_W16toB8 : preast_expr → preast_expr
205 PREAST_EXPR_W16toW32: preast_expr → preast_expr
206 PREAST_EXPR_W32toB8 : preast_expr → preast_expr
207 PREAST_EXPR_W32toW16: preast_expr → preast_expr
208 PREAST_EXPR_ID: preast_var → preast_expr
210 let rec preast_to_ast_expr (preast:preast_expr) (e:aux_env_type) on preast : option (Σt:ast_base_type.ast_expr e t) ≝
212 [ PREAST_EXPR_BYTE8 val ⇒ Some ? ≪AST_BASE_TYPE_BYTE8,AST_EXPR_BYTE8 e val≫
214 match eq_ast_base_type t AST_BASE_TYPE_BYTE8 with
215 [ true ⇒ Some ? (AST_EXPR_BYTE8 e val) | false ⇒ None ? ]
216 | PREAST_EXPR_WORD16 val ⇒ match eq_ast_base_type t AST_BASE_TYPE_WORD16 with
217 [ true ⇒ Some ? (AST_EXPR_WORD16 e val) | false ⇒ None ? ]
218 | PREAST_EXPR_WORD32 val ⇒ match eq_ast_base_type t AST_BASE_TYPE_WORD32 with
219 [ true ⇒ Some ? (AST_EXPR_WORD32 e val) | false ⇒ None ? ]
220 | PREAST_EXPR_NEG subExpr ⇒
221 opt_map ?? (preast_to_ast_expr subExpr e t)
222 (λres.Some ? (AST_EXPR_NEG e t res))
223 | PREAST_EXPR_NOT subExpr ⇒
224 opt_map ?? (preast_to_ast_expr subExpr e t)
225 (λres.Some ? (AST_EXPR_NOT e t res))
226 | PREAST_EXPR_COM subExpr ⇒
227 opt_map ?? (preast_to_ast_expr subExpr e t)
228 (λres.Some ? (AST_EXPR_COM e t res))
229 | PREAST_EXPR_ADD subExpr1 subExpr2 ⇒
230 opt_map ?? (preast_to_ast_expr subExpr1 e t)
231 (λres1.opt_map ?? (preast_to_ast_expr subExpr2 e t)
232 (λres2.Some ? (AST_EXPR_ADD e t res1 res2)))
233 | PREAST_EXPR_SUB subExpr1 subExpr2 ⇒
234 opt_map ?? (preast_to_ast_expr subExpr1 e t)
235 (λres1.opt_map ?? (preast_to_ast_expr subExpr2 e t)
236 (λres2.Some ? (AST_EXPR_SUB e t res1 res2)))
237 | PREAST_EXPR_MUL subExpr1 subExpr2 ⇒
238 opt_map ?? (preast_to_ast_expr subExpr1 e t)
239 (λres1.opt_map ?? (preast_to_ast_expr subExpr2 e t)
240 (λres2.Some ? (AST_EXPR_MUL e t res1 res2)))
241 | PREAST_EXPR_DIV subExpr1 subExpr2 ⇒
242 opt_map ?? (preast_to_ast_expr subExpr1 e t)
243 (λres1.opt_map ?? (preast_to_ast_expr subExpr2 e t)
244 (λres2.Some ? (AST_EXPR_DIV e t res1 res2)))
245 | PREAST_EXPR_SHR subExpr1 subExpr2 ⇒
246 opt_map ?? (preast_to_ast_expr subExpr1 e t)
247 (λres1.opt_map ?? (preast_to_ast_expr subExpr2 e AST_BASE_TYPE_BYTE8)
248 (λres2.Some ? (AST_EXPR_SHR e t res1 res2)))
249 | PREAST_EXPR_SHL subExpr1 subExpr2 ⇒
250 opt_map ?? (preast_to_ast_expr subExpr1 e t)
251 (λres1.opt_map ?? (preast_to_ast_expr subExpr2 e AST_BASE_TYPE_BYTE8)
252 (λres2.Some ? (AST_EXPR_SHL e t res1 res2)))
253 | PREAST_EXPR_GT subExpr1 subExpr2 ⇒ match eq_ast_base_type t AST_BASE_TYPE_BYTE8 with
254 [ true ⇒ opt_map ?? (evaluate_expr_type subExpr1 e)
255 (λresType.opt_map ?? (preast_to_ast_expr subExpr1 e resType)
256 (λres1.opt_map ?? (preast_to_ast_expr subExpr2 e resType)
257 (λres2.Some ? (AST_EXPR_GT e resType res1 res2))))
259 | PREAST_EXPR_GTE subExpr1 subExpr2 ⇒ match eq_ast_base_type t AST_BASE_TYPE_BYTE8 with
260 [ true ⇒ opt_map ?? (evaluate_expr_type subExpr1 e)
261 (λresType.opt_map ?? (preast_to_ast_expr subExpr1 e resType)
262 (λres1.opt_map ?? (preast_to_ast_expr subExpr2 e resType)
263 (λres2.Some ? (AST_EXPR_GTE e resType res1 res2))))
265 | PREAST_EXPR_LT subExpr1 subExpr2 ⇒ match eq_ast_base_type t AST_BASE_TYPE_BYTE8 with
266 [ true ⇒ opt_map ?? (evaluate_expr_type subExpr1 e)
267 (λresType.opt_map ?? (preast_to_ast_expr subExpr1 e resType)
268 (λres1.opt_map ?? (preast_to_ast_expr subExpr2 e resType)
269 (λres2.Some ? (AST_EXPR_LT e resType res1 res2))))
271 | PREAST_EXPR_LTE subExpr1 subExpr2 ⇒ match eq_ast_base_type t AST_BASE_TYPE_BYTE8 with
272 [ true ⇒ opt_map ?? (evaluate_expr_type subExpr1 e)
273 (λresType.opt_map ?? (preast_to_ast_expr subExpr1 e resType)
274 (λres1.opt_map ?? (preast_to_ast_expr subExpr2 e resType)
275 (λres2.Some ? (AST_EXPR_LTE e resType res1 res2))))
277 | PREAST_EXPR_EQ subExpr1 subExpr2 ⇒ match eq_ast_base_type t AST_BASE_TYPE_BYTE8 with
278 [ true ⇒ opt_map ?? (evaluate_expr_type subExpr1 e)
279 (λresType.opt_map ?? (preast_to_ast_expr subExpr1 e resType)
280 (λres1.opt_map ?? (preast_to_ast_expr subExpr2 e resType)
281 (λres2.Some ? (AST_EXPR_EQ e resType res1 res2))))
283 | PREAST_EXPR_NEQ subExpr1 subExpr2 ⇒ match eq_ast_base_type t AST_BASE_TYPE_BYTE8 with
284 [ true ⇒ opt_map ?? (evaluate_expr_type subExpr1 e)
285 (λresType.opt_map ?? (preast_to_ast_expr subExpr1 e resType)
286 (λres1.opt_map ?? (preast_to_ast_expr subExpr2 e resType)
287 (λres2.Some ? (AST_EXPR_NEQ e resType res1 res2))))
289 | PREAST_EXPR_B8toW16 subExpr ⇒ match eq_ast_base_type t AST_BASE_TYPE_WORD16 with
290 [ true ⇒ opt_map ?? (preast_to_ast_expr subExpr e AST_BASE_TYPE_BYTE8)
291 (λres.Some ? (AST_EXPR_B8toW16 e res))
293 | PREAST_EXPR_B8toW32 subExpr ⇒ match eq_ast_base_type t AST_BASE_TYPE_WORD32 with
294 [ true ⇒ opt_map ?? (preast_to_ast_expr subExpr e AST_BASE_TYPE_BYTE8)
295 (λres.Some ? (AST_EXPR_B8toW32 e res))
297 | PREAST_EXPR_W16toB8 subExpr ⇒ match eq_ast_base_type t AST_BASE_TYPE_BYTE8 with
298 [ true ⇒ opt_map ?? (preast_to_ast_expr subExpr e AST_BASE_TYPE_WORD16)
299 (λres.Some ? (AST_EXPR_W16toB8 e res))
301 | PREAST_EXPR_W16toW32 subExpr ⇒ match eq_ast_base_type t AST_BASE_TYPE_WORD32 with
302 [ true ⇒ opt_map ?? (preast_to_ast_expr subExpr e AST_BASE_TYPE_WORD16)
303 (λres.Some ? (AST_EXPR_W16toW32 e res))
305 | PREAST_EXPR_W32toB8 subExpr ⇒ match eq_ast_base_type t AST_BASE_TYPE_BYTE8 with
306 [ true ⇒ opt_map ?? (preast_to_ast_expr subExpr e AST_BASE_TYPE_WORD32)
307 (λres.Some ? (AST_EXPR_W32toB8 e res))
309 | PREAST_EXPR_W32toW16 subExpr ⇒ match eq_ast_base_type t AST_BASE_TYPE_WORD16 with
310 [ true ⇒ opt_map ?? (preast_to_ast_expr subExpr e AST_BASE_TYPE_WORD32)
311 (λres.Some ? (AST_EXPR_W32toW16 e res))
313 | PREAST_EXPR_ID var ⇒
314 opt_map ?? (evaluate_var_type var e)
315 (λcDesc.opt_map ?? (preast_to_ast_var var e (fst ?? cDesc) (AST_TYPE_BASE t))
316 (λres.Some ? (AST_EXPR_ID e (fst ?? cDesc) t res)))*)
319 PREAST_VAR_ID: aux_str_type → preast_var
320 PREAST_VAR_ARRAY: preast_var → preast_expr → preast_var
321 PREAST_VAR_STRUCT: preast_var → nat → preast_var.
323 and preast_to_ast_var (preast:preast_var) (e:aux_env_type) (c:bool) (t:ast_type) on preast : option (ast_var e c t) ≝
326 PREAST_EXPR_BYTE8 : byte8 → preast_expr
327 PREAST_EXPR_WORD16: word16 → preast_expr
328 PREAST_EXPR_WORD32: word32 → preast_expr
329 PREAST_EXPR_NEG: preast_expr → preast_expr
330 PREAST_EXPR_NOT: preast_expr → preast_expr
331 PREAST_EXPR_COM: preast_expr → preast_expr
332 PREAST_EXPR_ADD: preast_expr → preast_expr → preast_expr
333 PREAST_EXPR_SUB: preast_expr → preast_expr → preast_expr
334 PREAST_EXPR_MUL: preast_expr → preast_expr → preast_expr
335 PREAST_EXPR_DIV: preast_expr → preast_expr → preast_expr
336 PREAST_EXPR_SHR: preast_expr → preast_expr → preast_expr
337 PREAST_EXPR_SHL: preast_expr → preast_expr → preast_expr
338 PREAST_EXPR_GT : preast_expr → preast_expr → preast_expr
339 PREAST_EXPR_GTE: preast_expr → preast_expr → preast_expr
340 PREAST_EXPR_LT : preast_expr → preast_expr → preast_expr
341 PREAST_EXPR_LTE: preast_expr → preast_expr → preast_expr
342 PREAST_EXPR_EQ : preast_expr → preast_expr → preast_expr
343 PREAST_EXPR_NEQ: preast_expr → preast_expr → preast_expr
344 PREAST_EXPR_B8toW16 : preast_expr → preast_expr
345 PREAST_EXPR_B8toW32 : preast_expr → preast_expr
346 PREAST_EXPR_W16toB8 : preast_expr → preast_expr
347 PREAST_EXPR_W16toW32: preast_expr → preast_expr
348 PREAST_EXPR_W32toB8 : preast_expr → preast_expr
349 PREAST_EXPR_W32toW16: preast_expr → preast_expr
350 PREAST_EXPR_ID: preast_var → preast_expr
352 and preast_to_ast_base_expr (preast:preast_expr) (e:aux_env_type) on preast : option (ast_base_expr e) ≝
353 None (ast_base_expr e).
356 PREAST_STM_ASG: preast_var → preast_expr → preast_stm
357 PREAST_STM_WHILE: preast_expr → preast_decl → preast_stm
358 PREAST_STM_IF: ne_list (Prod preast_expr preast_decl) → option preast_decl → preast_stm
360 let rec preast_to_ast_stm (preast:preast_stm) (e:aux_env_type) on preast : option (ast_stm e) ≝
362 (* (A) assegnamento *)
363 [ PREAST_STM_ASG var expr ⇒
364 opt_map ?? (evaluate_var_type var e)
365 (λcDesc.match fst ?? cDesc with
366 (* NO: left non deve essere read only *)
368 (* OK: left e' read write *)
370 match isntb_ast_base_type (snd ?? cDesc)
371 return λx.(isntb_ast_base_type (snd ?? cDesc)) = x → option (ast_stm e)
374 [ true ⇒ λp:(isntb_ast_base_type (snd ?? cDesc)) = true.match expr with
375 (* OK: right deve essere una var *)
376 [ PREAST_EXPR_ID subVar ⇒ opt_map ?? (evaluate_var_type subVar e)
377 (λcDesc'.opt_map ?? (preast_to_ast_var var e false (snd ?? cDesc))
378 (λresVar.opt_map ?? (preast_to_ast_var subVar e (fst ?? cDesc') (snd ?? cDesc))
379 (λresVar'.Some ? (AST_STM_MEMCPY_ASG e (fst ?? cDesc') (snd ?? cDesc)
380 (isntbastbasetype_to_isntastbasetype (snd ?? cDesc) p)
382 (* NO: right non e' una var *)
384 (* (A.2) variabile *)
385 | false ⇒ λp:(isntb_ast_base_type (snd ?? cDesc)) = false.match snd ?? cDesc with
386 [ AST_TYPE_BASE bType ⇒ opt_map ?? (preast_to_ast_expr expr e bType)
387 (λresExpr.opt_map ?? (preast_to_ast_var var e false (AST_TYPE_BASE bType))
388 (λresVar.Some ? (AST_STM_ASG e bType resVar resExpr)))
389 | _ ⇒ None ? ]] (refl_eq ? (isntb_ast_base_type (snd ?? cDesc)))
393 | PREAST_STM_WHILE expr decl ⇒
394 opt_map ?? (preast_to_ast_base_expr expr e)
395 (λresExpr.opt_map ?? (preast_to_ast_decl decl e)
396 (λresDecl.Some ? (AST_STM_WHILE e resExpr resDecl)))
399 | PREAST_STM_IF nelExprDecl optDecl ⇒
400 opt_map ?? (fold_right_neList ?? (λh,t.opt_map ?? (preast_to_ast_base_expr (fst ?? h) e)
401 (λresExpr.opt_map ?? (preast_to_ast_decl (snd ?? h) e)
402 (λresDecl.opt_map ?? t
403 (λt'.Some ? («(pair ?? resExpr resDecl)£»&t')))))
404 (Some ? (ne_nil ? (pair ?? (AST_BASE_EXPR e AST_BASE_TYPE_BYTE8 (AST_EXPR_BYTE8 e 〈x0,x0〉)) (AST_NO_DECL e (nil ?)))))
406 (λres.match optDecl with
407 [ None ⇒ Some ? (AST_STM_IF e (cut_last_neList ? res) (None ?))
408 | Some decl ⇒ opt_map ?? (preast_to_ast_decl decl e)
409 (λresDecl.Some ? (AST_STM_IF e (cut_last_neList ? res) (Some ? resDecl)))
413 PREAST_NO_DECL: list preast_stm → preast_decl
414 PREAST_DECL: bool → aux_str_type → ast_type → option preast_expr → preast_decl → preast_decl.
416 and preast_to_ast_decl (preast:preast_decl) (e:aux_env_type) on preast : option (ast_decl e) ≝
418 (* (A) nessuna dichiarazione, solo statement *)
419 [ PREAST_NO_DECL lPreastStm ⇒
420 opt_map ?? (fold_right_list ?? (λh,t.opt_map ?? (preast_to_ast_stm h e)
422 (λt'.Some ? ([h']@t')))) (Some ? (nil ?)) lPreastStm)
423 (λres.Some ? (AST_NO_DECL e res))
425 (* (B) dichiarazione *)
426 | PREAST_DECL constFlag decName decType optInitExpr subPreastDecl ⇒
427 match checkb_not_already_def_env e decName
428 return λx.(checkb_not_already_def_env e decName) = x → option (ast_decl e)
430 (* OK: non era gia' dichiarata *)
431 [ true ⇒ λp:(checkb_not_already_def_env e decName) = true.
433 (* (B.1) dichiarazione tipo base *)
434 [ AST_TYPE_BASE decBaseType ⇒ match optInitExpr with
435 (* (B.1.1) tipo base senza inizializzazione *)
436 [ None ⇒ opt_map ?? (preast_to_ast_decl subPreastDecl (add_desc_env e decName constFlag (AST_TYPE_BASE decBaseType)))
437 (λsubRes.Some ? (AST_BASE_DECL e constFlag decName decBaseType
438 (checkbnotalreadydefenv_to_checknotalreadydefenv e decName p)
440 (* (B.1.2) tipo base con inizializzazione *)
441 | Some initExpr ⇒ opt_map ?? (preast_to_ast_expr initExpr e decBaseType)
442 (λinitRes.opt_map ?? (preast_to_ast_decl subPreastDecl (add_desc_env e decName constFlag (AST_TYPE_BASE decBaseType)))
443 (λsubRes.Some ? (AST_BASE_DECL e constFlag decName decBaseType
444 (checkbnotalreadydefenv_to_checknotalreadydefenv e decName p)
447 (* (B.2) dichiarazione record/struttura *)
448 | _ ⇒ match optInitExpr with
449 (* OK: senza inizializzazione *)
450 [ None ⇒ match isntb_ast_base_type decType
451 return λy.(isntb_ast_base_type decType) = y → option (ast_decl e)
453 [ true ⇒ λp':(isntb_ast_base_type decType) = true.
454 opt_map ?? (preast_to_ast_decl subPreastDecl (add_desc_env e decName constFlag decType))
455 (λsubRes.Some ? (AST_DECL e constFlag decName decType
456 (checkbnotalreadydefenv_to_checknotalreadydefenv e decName p)
457 (isntbastbasetype_to_isntastbasetype decType p')
459 | false ⇒ λp':(isntb_ast_base_type decType) = false.None ?
460 ] (refl_eq ? (isntb_ast_base_type decType))
461 (* NO: con inizializzazione *)
465 (* NO: era gia' dichiarata *)
466 | false ⇒ λp:(checkb_not_already_def_env e decName) = false.None ?
467 ] (refl_eq ? (checkb_not_already_def_env e decName))
471 PREAST_ROOT: preast_decl → preast_root.
473 definition preast_to_ast ≝
474 λpreast:preast_root.match preast with
475 [ PREAST_ROOT decl ⇒ opt_map ?? (preast_to_ast_decl decl empty_env)
476 (λres.Some ? (AST_ROOT res)) ].