1 | include "RTLabs/syntax.ma". |
---|
2 | include "RTL/RTL.ma". |
---|
3 | include "common/AssocList.ma". |
---|
4 | include "common/Graphs.ma". |
---|
5 | |
---|
6 | definition add_graph ≝ |
---|
7 | λl: label. |
---|
8 | λstmt. |
---|
9 | λp. |
---|
10 | let rtl_if_luniverse' ≝ rtl_if_luniverse p in |
---|
11 | let rtl_if_runiverse' ≝ rtl_if_runiverse p in |
---|
12 | let rtl_if_sig' ≝ rtl_if_sig p in |
---|
13 | let rtl_if_result' ≝ rtl_if_result p in |
---|
14 | let rtl_if_params' ≝ rtl_if_params p in |
---|
15 | let rtl_if_locals' ≝ rtl_if_locals p in |
---|
16 | let rtl_if_stacksize' ≝ rtl_if_stacksize p in |
---|
17 | let rtl_if_graph' ≝ add ? ? (rtl_if_graph p) l stmt in |
---|
18 | let rtl_if_entry' ≝ rtl_if_entry p in |
---|
19 | let rtl_if_exit' ≝ rtl_if_exit p in |
---|
20 | mk_rtl_internal_function rtl_if_luniverse' rtl_if_runiverse' rtl_if_sig' |
---|
21 | rtl_if_params' rtl_if_params' rtl_if_locals' |
---|
22 | rtl_if_stacksize' rtl_if_graph' rtl_if_entry' |
---|
23 | rtl_if_exit'. |
---|
24 | |
---|
25 | definition fresh_label ≝ |
---|
26 | λdef. |
---|
27 | match fresh LabelTag (rtl_if_luniverse def) with |
---|
28 | [ OK lbl_univ ⇒ Some ? (\fst … lbl_univ) |
---|
29 | | Error _ ⇒ None ? |
---|
30 | ]. |
---|
31 | |
---|
32 | axiom register_fresh: universe RegisterTag → register. |
---|
33 | |
---|
34 | definition fresh_reg: rtl_internal_function → rtl_internal_function × register ≝ |
---|
35 | λdef. |
---|
36 | let r ≝ register_fresh (rtl_if_runiverse def) in |
---|
37 | let locals ≝ r :: rtl_if_locals def in |
---|
38 | let rtl_if_luniverse' ≝ rtl_if_luniverse def in |
---|
39 | let rtl_if_runiverse' ≝ rtl_if_runiverse def in |
---|
40 | let rtl_if_sig' ≝ rtl_if_sig def in |
---|
41 | let rtl_if_result' ≝ rtl_if_result def in |
---|
42 | let rtl_if_params' ≝ rtl_if_params def in |
---|
43 | let rtl_if_locals' ≝ locals in |
---|
44 | let rtl_if_stacksize' ≝ rtl_if_stacksize def in |
---|
45 | let rtl_if_graph' ≝ rtl_if_graph def in |
---|
46 | let rtl_if_entry' ≝ rtl_if_entry def in |
---|
47 | let rtl_if_exit' ≝ rtl_if_exit def in |
---|
48 | 〈mk_rtl_internal_function |
---|
49 | rtl_if_luniverse' rtl_if_runiverse' rtl_if_sig' rtl_if_result' |
---|
50 | rtl_if_params' rtl_if_locals' rtl_if_stacksize' rtl_if_graph' |
---|
51 | rtl_if_entry' rtl_if_exit', r〉. |
---|
52 | |
---|
53 | let rec fresh_regs (def: rtl_internal_function) (n: nat) on n ≝ |
---|
54 | match n with |
---|
55 | [ O ⇒ 〈def, [ ]〉 |
---|
56 | | S n ⇒ |
---|
57 | let 〈def, res〉 ≝ fresh_regs def n in |
---|
58 | let 〈def, r〉 ≝ fresh_reg def in |
---|
59 | 〈def, r :: res〉 |
---|
60 | ]. |
---|
61 | |
---|
62 | definition addr_regs ≝ |
---|
63 | λregs. |
---|
64 | match regs with |
---|
65 | [ cons hd tl ⇒ |
---|
66 | match tl with |
---|
67 | [ cons hd' tl' ⇒ Some (register × register) 〈hd, hd'〉 |
---|
68 | | nil ⇒ None (register × register) |
---|
69 | ] |
---|
70 | | nil ⇒ None (register × register) (* registers are not an address *) |
---|
71 | ]. |
---|
72 | |
---|
73 | let rec register_freshes (runiverse: universe RegisterTag) (n: nat) on n ≝ |
---|
74 | match n with |
---|
75 | [ O ⇒ [ ] |
---|
76 | | S n' ⇒ register_fresh runiverse :: (register_freshes runiverse n') |
---|
77 | ]. |
---|
78 | |
---|
79 | definition choose_rest ≝ |
---|
80 | λA: Type[0]. |
---|
81 | λleft, right: list A. |
---|
82 | match left with |
---|
83 | [ nil ⇒ |
---|
84 | match right with |
---|
85 | [ nil ⇒ None ? |
---|
86 | | _ ⇒ Some ? right |
---|
87 | ] |
---|
88 | | _ ⇒ Some ? left |
---|
89 | ]. |
---|
90 | |
---|
91 | definition complete_regs ≝ |
---|
92 | λdef. |
---|
93 | λsrcrs1. |
---|
94 | λsrcrs2. |
---|
95 | let nb_added ≝ abs ((length ? srcrs1) - (length ? srcrs2)) in |
---|
96 | let 〈def, added_regs〉 ≝ fresh_regs def nb_added in |
---|
97 | if gtb nb_added 0 then |
---|
98 | 〈〈srcrs1, srcrs2 @ added_regs〉, added_regs〉 |
---|
99 | else |
---|
100 | 〈〈srcrs1 @ added_regs, srcrs2〉, added_regs〉. |
---|
101 | |
---|
102 | definition size_of_sig_type ≝ |
---|
103 | λsig. |
---|
104 | match sig with |
---|
105 | [ ASTint isize sign ⇒ |
---|
106 | let isize' ≝ match isize with [ I8 ⇒ 8 | I16 ⇒ 16 | I32 ⇒ 32 ] in |
---|
107 | Some ? (isize' ÷ (nat_of_bitvector ? int_size)) |
---|
108 | | ASTfloat _ ⇒ None ? |
---|
109 | | ASToffset ⇒ Some ? (nat_of_bitvector ? int_size) |
---|
110 | | ASTptr rgn ⇒ Some ? (nat_of_bitvector ? ptr_size) |
---|
111 | ]. |
---|
112 | |
---|
113 | definition concrete_size ≝ . |
---|
114 | |
---|
115 | definition concrete_offset ≝ . |
---|
116 | |
---|
117 | inductive register_type: Type[0] ≝ |
---|
118 | | register_int: register → register_type |
---|
119 | | register_ptr: register → register → register_type. |
---|
120 | |
---|
121 | definition local_env ≝ assoc_list register register_type. |
---|
122 | |
---|
123 | definition initialize_local_env_internal ≝ |
---|
124 | λeq. |
---|
125 | λruniverse. |
---|
126 | λptrs. |
---|
127 | λlenv. |
---|
128 | λr. |
---|
129 | let fresh ≝ snd ? ? (fresh_reg runiverse) in |
---|
130 | let rt ≝ |
---|
131 | match member ? eq r ptrs with |
---|
132 | [ true ⇒ register_ptr r fresh |
---|
133 | | false ⇒ register_int r |
---|
134 | ] |
---|
135 | in |
---|
136 | assoc_list_add ? ? 〈r, rt〉 lenv. |
---|
137 | |
---|
138 | definition initialize_local_env ≝ |
---|
139 | λruniverse. |
---|
140 | λptrs. |
---|
141 | λregisters. |
---|
142 | foldl ? ? (initialize_local_env_internal (eq_identifier RegisterTag) runiverse ptrs) [ ] registers. |
---|
143 | |
---|
144 | definition filter_and_to_list_local_env_internal ≝ |
---|
145 | λlenv. |
---|
146 | λl. |
---|
147 | λr. |
---|
148 | match assoc_list_lookup ? ? r (eq_identifier RegisterTag) lenv with |
---|
149 | [ Some entry ⇒ |
---|
150 | match entry with |
---|
151 | [ register_ptr r1 r2 ⇒ (l @ [ r1; r2 ]) |
---|
152 | | register_int r ⇒ (l @ [ r ]) |
---|
153 | ] |
---|
154 | | None ⇒ [ ] (* dpm: should this be none? *) |
---|
155 | ]. |
---|
156 | |
---|
157 | definition filter_and_to_list_local_env ≝ |
---|
158 | λlenv. |
---|
159 | λregisters. |
---|
160 | foldl ? ? (filter_and_to_list_local_env_internal lenv) [ ] registers. |
---|
161 | |
---|
162 | definition list_of_register_type ≝ |
---|
163 | λrt. |
---|
164 | match rt with |
---|
165 | [ register_ptr r1 r2 ⇒ [ r1; r2 ] |
---|
166 | | register_int r ⇒ [ r ] |
---|
167 | ]. |
---|
168 | |
---|
169 | definition find_and_list ≝ |
---|
170 | λr. |
---|
171 | λlenv. |
---|
172 | match assoc_list_lookup ? ? r (eq_identifier RegisterTag) lenv with |
---|
173 | [ None ⇒ [ ] (* dpm: should this be none? *) |
---|
174 | | Some lkup ⇒ list_of_register_type lkup |
---|
175 | ]. |
---|
176 | |
---|
177 | definition find_and_list_args ≝ |
---|
178 | λargs. |
---|
179 | λlenv. |
---|
180 | map ? ? (λr. find_and_list r lenv) args. |
---|
181 | |
---|
182 | definition find_and_addr ≝ |
---|
183 | λr. |
---|
184 | λlenv. |
---|
185 | match find_and_list r lenv with |
---|
186 | [ cons hd tl ⇒ |
---|
187 | match tl with |
---|
188 | [ cons hd' tl' ⇒ Some ? 〈hd, hd'〉 |
---|
189 | | nil ⇒ None ? |
---|
190 | ] |
---|
191 | | nil ⇒ None ? (* dpm: was assert false *) |
---|
192 | ]. |
---|
193 | |
---|
194 | definition rtl_args ≝ |
---|
195 | λregs_list. |
---|
196 | λlenv. |
---|
197 | flatten ? (find_and_list_args regs_list lenv). |
---|
198 | |
---|
199 | definition change_label ≝ |
---|
200 | λlbl. |
---|
201 | λstmt: rtl_statement. |
---|
202 | match stmt with |
---|
203 | [ rtl_st_skip _ ⇒ rtl_st_skip lbl |
---|
204 | | rtl_st_cost cost_lbl _ ⇒ rtl_st_cost cost_lbl lbl |
---|
205 | | rtl_st_addr r1 r2 id _ ⇒ rtl_st_addr r1 r2 id lbl |
---|
206 | | rtl_st_stack_addr r1 r2 _ ⇒ rtl_st_stack_addr r1 r2 lbl |
---|
207 | | rtl_st_int r i _ ⇒ rtl_st_int r i lbl |
---|
208 | | rtl_st_move r1 r2 _ ⇒ rtl_st_move r1 r2 lbl |
---|
209 | | rtl_st_opaccs opaccs d s1 s2 _ ⇒ rtl_st_opaccs opaccs d s1 s2 lbl |
---|
210 | | rtl_st_op1 op1 d s _ ⇒ rtl_st_op1 op1 d s lbl |
---|
211 | | rtl_st_op2 op2 d s1 s2 _ ⇒ rtl_st_op2 op2 d s1 s2 lbl |
---|
212 | | rtl_st_clear_carry _ ⇒ rtl_st_clear_carry lbl |
---|
213 | | rtl_st_load d a1 a2 _ ⇒ rtl_st_load d a1 a2 lbl |
---|
214 | | rtl_st_store a1 a2 s _ ⇒ rtl_st_store a1 a2 s lbl |
---|
215 | | rtl_st_call_id f a r _ ⇒ rtl_st_call_id f a r lbl |
---|
216 | | rtl_st_call_ptr f1 f2 a r _ ⇒ rtl_st_call_ptr f1 f2 a r lbl |
---|
217 | | rtl_st_tailcall_id f a ⇒ rtl_st_tailcall_id f a |
---|
218 | | rtl_st_tailcall_ptr f1 f2 a ⇒ rtl_st_tailcall_ptr f1 f2 a |
---|
219 | | rtl_st_cond_acc r l1 l2 ⇒ rtl_st_cond_acc r l1 l2 |
---|
220 | | rtl_st_return r ⇒ rtl_st_return r |
---|
221 | | _ ⇒ ? |
---|
222 | ]. |
---|
223 | |
---|
224 | let rec adds_graph (stmt_list: ?) (start_lbl: label) (dest_lbl: label) (def: rtl_internal_function) ≝ |
---|
225 | match stmt_list with |
---|
226 | [ nil ⇒ Some ? def |
---|
227 | | cons hd tl ⇒ |
---|
228 | match tl with |
---|
229 | [ nil ⇒ Some ? (add_graph start_lbl (change_label dest_lbl hd) def) |
---|
230 | | cons hd' tl' ⇒ |
---|
231 | let tmp_lbl ≝ fresh_label def in |
---|
232 | match tmp_lbl with |
---|
233 | [ None ⇒ None ? |
---|
234 | | Some tmp_lbl ⇒ |
---|
235 | let stmt ≝ change_label tmp_lbl hd in |
---|
236 | let def ≝ add_graph start_lbl stmt def in |
---|
237 | adds_graph tl tmp_lbl dest_lbl def |
---|
238 | ] |
---|
239 | ] |
---|
240 | ]. |
---|
241 | |
---|
242 | (* dpm: had to lift this into option *) |
---|
243 | let rec add_translates (translate_list: ?) (start_lbl: label) (dest_lbl: label) |
---|
244 | (def: ?) on translate_list ≝ |
---|
245 | match translate_list with |
---|
246 | [ nil ⇒ Some ? def |
---|
247 | | cons hd tl ⇒ |
---|
248 | match tl with |
---|
249 | [ nil ⇒ hd start_lbl dest_lbl def |
---|
250 | | cons hd' tl' ⇒ |
---|
251 | let tmp_lbl ≝ fresh_label def in |
---|
252 | match tmp_lbl with |
---|
253 | [ None ⇒ None ? |
---|
254 | | Some tmp_lbl ⇒ |
---|
255 | match hd start_lbl tmp_lbl def with |
---|
256 | [ None ⇒ None ? |
---|
257 | | Some def ⇒ add_translates tl tmp_lbl dest_lbl def |
---|
258 | ] |
---|
259 | ] |
---|
260 | ] |
---|
261 | ]. |
---|
262 | |
---|
263 | |
---|
264 | (* dpm: horrendous, use dependent types. |
---|
265 | length destr = length srcrs *) |
---|
266 | let rec translate_move (destrs: ?) (srcrs: ?) (start_lbl: label) |
---|
267 | (dest_lbl: label) (def: ?) ≝ |
---|
268 | match destrs with |
---|
269 | [ nil ⇒ |
---|
270 | match srcrs with |
---|
271 | [ nil ⇒ Some ? def |
---|
272 | | cons hd tl ⇒ None ? |
---|
273 | ] |
---|
274 | | cons hd tl ⇒ |
---|
275 | match srcrs with |
---|
276 | [ nil ⇒ None ? |
---|
277 | | cons hd' tl' ⇒ |
---|
278 | match tl with |
---|
279 | [ nil ⇒ |
---|
280 | match tl' with |
---|
281 | (* one element lists *) |
---|
282 | [ nil ⇒ Some ? (add_graph start_lbl (rtl_st_move hd hd' dest_lbl) def) |
---|
283 | | cons hd'' tl'' ⇒ None ? |
---|
284 | ] |
---|
285 | | cons hd'' tl'' ⇒ |
---|
286 | match tl' with |
---|
287 | [ nil ⇒ None ? |
---|
288 | (* multielement lists *) |
---|
289 | | cons hd''' tl''' ⇒ |
---|
290 | let tmp_lbl ≝ fresh_label def in |
---|
291 | match tmp_lbl with |
---|
292 | [ None ⇒ None ? |
---|
293 | | Some tmp_lbl ⇒ |
---|
294 | let def ≝ add_graph start_lbl (rtl_st_move hd hd' tmp_lbl) def in |
---|
295 | translate_move tl tl' tmp_lbl dest_lbl def |
---|
296 | ] |
---|
297 | ] |
---|
298 | ] |
---|
299 | ] |
---|
300 | ]. |
---|
301 | |
---|
302 | definition translate_cst ≝ |
---|
303 | λcst. |
---|
304 | λdestrs. |
---|
305 | λstart_lbl. |
---|
306 | λdest_lbl. |
---|
307 | λdef. |
---|
308 | match cst with |
---|
309 | [ cast_int i ⇒ |
---|
310 | match destrs with |
---|
311 | [ nil ⇒ add_graph start_lbl (rtl_st_skip dest_lbl) def |
---|
312 | | cons hd tl ⇒ |
---|
313 | match tl with |
---|
314 | [ nil ⇒ Some ? (add_graph start_lbl (rtl_st_int hd i dest_lbl) def) |
---|
315 | | cons hd' tl' ⇒ None ? |
---|
316 | ] |
---|
317 | ] |
---|
318 | | cast_addrsymbol id ⇒ |
---|
319 | match destrs with |
---|
320 | [ nil ⇒ None ? |
---|
321 | | cons hd tl ⇒ |
---|
322 | match tl with |
---|
323 | [ nil ⇒ None ? |
---|
324 | | cons hd' tl' ⇒ |
---|
325 | Some ? (add_graph start_lbl (rtl_st_addr hd hd' id dest_lbl) def) |
---|
326 | ] |
---|
327 | ] |
---|
328 | | cast_offset off ⇒ |
---|
329 | match destrs with |
---|
330 | [ nil ⇒ None ? |
---|
331 | | cons hd tl ⇒ |
---|
332 | match tl with |
---|
333 | [ nil ⇒ None ? |
---|
334 | | cons hd' tl' ⇒ |
---|
335 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
336 | adds_graph [ |
---|
337 | rtl_st_stack_addr hd hd' start_lbl; |
---|
338 | rtl_st_int tmpr off start_lbl; |
---|
339 | rtl_st_op2 Add hd hd tmpr start_lbl; |
---|
340 | rtl_st_int tmpr (bitvector_of_nat ? 0) start_lbl; |
---|
341 | rtl_st_op2 Addc hd' hd' tmpr start_lbl |
---|
342 | ] start_lbl dest_lbl def |
---|
343 | ] |
---|
344 | ] |
---|
345 | | cast_stack ⇒ ? |
---|
346 | | cast_sizeof size ⇒ ? |
---|
347 | (* | cast_float f ⇒ None ? *) (* what are we doing with floats? *) |
---|
348 | ]. |
---|
349 | |
---|
350 | definition extract_singleton ≝ |
---|
351 | λA: Type[0]. |
---|
352 | λl: list A. |
---|
353 | match l with |
---|
354 | [ nil ⇒ None ? |
---|
355 | | cons hd tl ⇒ |
---|
356 | match tl with |
---|
357 | [ nil ⇒ Some ? hd |
---|
358 | | cons hd tl ⇒ None ? |
---|
359 | ] |
---|
360 | ]. |
---|
361 | |
---|
362 | definition extract_pair ≝ |
---|
363 | λA: Type[0]. |
---|
364 | λl: list A. |
---|
365 | match l with |
---|
366 | [ nil ⇒ None ? |
---|
367 | | cons hd tl ⇒ |
---|
368 | match tl with |
---|
369 | [ nil ⇒ None ? |
---|
370 | | cons hd' tl' ⇒ |
---|
371 | match tl' with |
---|
372 | [ nil ⇒ Some ? 〈hd, hd'〉 |
---|
373 | | cons hd'' tl'' ⇒ None ? |
---|
374 | ] |
---|
375 | ] |
---|
376 | ]. |
---|
377 | |
---|
378 | definition translate_op1 ≝ |
---|
379 | λop1. |
---|
380 | λdestrs. |
---|
381 | λsrcrs. |
---|
382 | λstart_lbl. |
---|
383 | λdest_lbl. |
---|
384 | λdef. |
---|
385 | match op1 with |
---|
386 | [ op_cast8_unsigned ⇒ translate_move destrs srcrs start_lbl dest_lbl def |
---|
387 | | op_cast8_signed ⇒ translate_move destrs srcrs start_lbl dest_lbl def |
---|
388 | | op_cast16_unsigned ⇒ translate_move destrs srcrs start_lbl dest_lbl def |
---|
389 | | op_cast16_signed ⇒ translate_move destrs srcrs start_lbl dest_lbl def |
---|
390 | | op_neg_int ⇒ |
---|
391 | let dstr ≝ extract_singleton ? destrs in |
---|
392 | let srcr ≝ extract_singleton ? srcrs in |
---|
393 | match dstr with |
---|
394 | [ None ⇒ None ? |
---|
395 | | Some dstr ⇒ |
---|
396 | match srcr with |
---|
397 | [ None ⇒ None ? |
---|
398 | | Some srcr ⇒ |
---|
399 | adds_graph [ |
---|
400 | rtl_st_op1 Cmpl dstr srcr start_lbl; |
---|
401 | rtl_st_op1 Inc dstr dstr start_lbl |
---|
402 | ] start_lbl dest_lbl def |
---|
403 | ] |
---|
404 | ] |
---|
405 | | op_not_int ⇒ |
---|
406 | let dstr ≝ extract_singleton ? destrs in |
---|
407 | let srcr ≝ extract_singleton ? srcrs in |
---|
408 | match dstr with |
---|
409 | [ None ⇒ None ? |
---|
410 | | Some dstr ⇒ |
---|
411 | match srcr with |
---|
412 | [ None ⇒ None ? |
---|
413 | | Some srcr ⇒ |
---|
414 | adds_graph [ |
---|
415 | rtl_st_op1 Cmpl dstr srcr start_lbl |
---|
416 | ] start_lbl dest_lbl def |
---|
417 | ] |
---|
418 | ] |
---|
419 | | op_id ⇒ translate_move destrs srcrs start_lbl dest_lbl def |
---|
420 | | op_ptr_of_int ⇒ |
---|
421 | let destr12 ≝ extract_pair ? destrs in |
---|
422 | let srcr ≝ extract_singleton ? srcrs in |
---|
423 | match destr12 with |
---|
424 | [ None ⇒ None ? |
---|
425 | | Some destr12 ⇒ |
---|
426 | let 〈destr1, destr2〉 ≝ destr12 in |
---|
427 | match srcr with |
---|
428 | [ None ⇒ None ? |
---|
429 | | Some srcr ⇒ |
---|
430 | adds_graph [ |
---|
431 | rtl_st_move destr1 srcr dest_lbl; |
---|
432 | rtl_st_int destr2 (bitvector_of_nat ? 0) start_lbl |
---|
433 | ] start_lbl dest_lbl def |
---|
434 | ] |
---|
435 | ] |
---|
436 | | op_int_of_ptr ⇒ |
---|
437 | let destr ≝ extract_singleton ? destrs in |
---|
438 | match destr with |
---|
439 | [ None ⇒ None ? |
---|
440 | | Some destr ⇒ |
---|
441 | match srcrs with |
---|
442 | [ nil ⇒ None ? |
---|
443 | | cons srcr tl ⇒ |
---|
444 | Some ? (add_graph start_lbl (rtl_st_move destr srcr dest_lbl) def) |
---|
445 | ] |
---|
446 | ] |
---|
447 | | op_not_bool ⇒ |
---|
448 | let destr ≝ extract_singleton ? destrs in |
---|
449 | let srcrs ≝ extract_singleton ? srcrs in |
---|
450 | match destr with |
---|
451 | [ None ⇒ None ? |
---|
452 | | Some destr ⇒ |
---|
453 | match srcrs with |
---|
454 | [ None ⇒ None ? |
---|
455 | | Some srcr ⇒ |
---|
456 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
457 | adds_graph [ |
---|
458 | rtl_st_int tmpr (bitvector_of_nat ? 0) start_lbl; |
---|
459 | rtl_st_clear_carry start_lbl; |
---|
460 | rtl_st_op2 Sub destr tmpr srcr start_lbl; |
---|
461 | rtl_st_int destr (bitvector_of_nat ? 0) dest_lbl; |
---|
462 | rtl_st_op2 Addc destr destr destr start_lbl; |
---|
463 | rtl_st_int tmpr (bitvector_of_nat ? 1) dest_lbl; |
---|
464 | rtl_st_op2 Xor destr destr tmpr start_lbl |
---|
465 | ] start_lbl dest_lbl def |
---|
466 | ] |
---|
467 | ] |
---|
468 | | _ ⇒ None ? (* error float *) |
---|
469 | ]. |
---|
470 | |
---|
471 | definition translate_condptr ≝ |
---|
472 | λr1. |
---|
473 | λr2. |
---|
474 | λstart_lbl: label. |
---|
475 | λlbl_true: label. |
---|
476 | λlbl_false: label. |
---|
477 | λdef. |
---|
478 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
479 | adds_graph [ |
---|
480 | rtl_st_op2 Or tmpr r1 r2 start_lbl; |
---|
481 | rtl_st_cond_acc tmpr lbl_true lbl_false |
---|
482 | ] start_lbl start_lbl def. |
---|
483 | |
---|
484 | (* |
---|
485 | let rec translate_op2 (op2: ?) (destrs: ?) (srcrs1: ?) (srcrs2: ?) |
---|
486 | (start_lbl: label) (dest_lbl: label) (def: ?) on op2 ≝ |
---|
487 | match op2 with |
---|
488 | [ op_add ⇒ |
---|
489 | let destr ≝ extract_singleton ? destrs in |
---|
490 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
491 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
492 | match destr with |
---|
493 | [ None ⇒ None ? |
---|
494 | | Some destr ⇒ |
---|
495 | match srcr1 with |
---|
496 | [ None ⇒ None ? |
---|
497 | | Some srcr1 ⇒ |
---|
498 | match srcr2 with |
---|
499 | [ None ⇒ None ? |
---|
500 | | Some srcr2 ⇒ |
---|
501 | adds_graph [ |
---|
502 | rtl_st_op2 Add destr srcr1 srcr2 start_lbl |
---|
503 | ] start_lbl dest_lbl def |
---|
504 | ] |
---|
505 | ] |
---|
506 | ] |
---|
507 | | op_sub ⇒ |
---|
508 | let destr ≝ extract_singleton ? destrs in |
---|
509 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
510 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
511 | match destr with |
---|
512 | [ None ⇒ None ? |
---|
513 | | Some destr ⇒ |
---|
514 | match srcr1 with |
---|
515 | [ None ⇒ None ? |
---|
516 | | Some srcr1 ⇒ |
---|
517 | match srcr2 with |
---|
518 | [ None ⇒ None ? |
---|
519 | | Some srcr2 ⇒ |
---|
520 | adds_graph [ |
---|
521 | rtl_st_clear_carry start_lbl; |
---|
522 | rtl_st_op2 Sub destr srcr1 srcr2 start_lbl |
---|
523 | ] start_lbl dest_lbl def |
---|
524 | ] |
---|
525 | ] |
---|
526 | ] |
---|
527 | | op_mul ⇒ |
---|
528 | let destr ≝ extract_singleton ? destrs in |
---|
529 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
530 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
531 | match destr with |
---|
532 | [ None ⇒ None ? |
---|
533 | | Some destr ⇒ |
---|
534 | match srcr1 with |
---|
535 | [ None ⇒ None ? |
---|
536 | | Some srcr1 ⇒ |
---|
537 | match srcr2 with |
---|
538 | [ None ⇒ None ? |
---|
539 | | Some srcr2 ⇒ |
---|
540 | adds_graph [ |
---|
541 | rtl_st_opaccs Mul destr srcr1 srcr2 start_lbl |
---|
542 | ] start_lbl dest_lbl def |
---|
543 | ] |
---|
544 | ] |
---|
545 | ] |
---|
546 | | op_div ⇒ None ? (* signed div not supported *) |
---|
547 | | op_divu ⇒ |
---|
548 | let destr ≝ extract_singleton ? destrs in |
---|
549 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
550 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
551 | match destr with |
---|
552 | [ None ⇒ None ? |
---|
553 | | Some destr ⇒ |
---|
554 | match srcr1 with |
---|
555 | [ None ⇒ None ? |
---|
556 | | Some srcr1 ⇒ |
---|
557 | match srcr2 with |
---|
558 | [ None ⇒ None ? |
---|
559 | | Some srcr2 ⇒ |
---|
560 | adds_graph [ |
---|
561 | rtl_st_opaccs Divu destr srcr1 srcr2 start_lbl |
---|
562 | ] start_lbl dest_lbl def |
---|
563 | ] |
---|
564 | ] |
---|
565 | ] |
---|
566 | | op_modu ⇒ |
---|
567 | let destr ≝ extract_singleton ? destrs in |
---|
568 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
569 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
570 | match destr with |
---|
571 | [ None ⇒ None ? |
---|
572 | | Some destr ⇒ |
---|
573 | match srcr1 with |
---|
574 | [ None ⇒ None ? |
---|
575 | | Some srcr1 ⇒ |
---|
576 | match srcr2 with |
---|
577 | [ None ⇒ None ? |
---|
578 | | Some srcr2 ⇒ |
---|
579 | adds_graph [ |
---|
580 | rtl_st_opaccs Modu destr srcr1 srcr2 start_lbl |
---|
581 | ] start_lbl dest_lbl def |
---|
582 | ] |
---|
583 | ] |
---|
584 | ] |
---|
585 | | op_mod ⇒ None ? (* signed mod not supported *) |
---|
586 | | op_and ⇒ |
---|
587 | let destr ≝ extract_singleton ? destrs in |
---|
588 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
589 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
590 | match destr with |
---|
591 | [ None ⇒ None ? |
---|
592 | | Some destr ⇒ |
---|
593 | match srcr1 with |
---|
594 | [ None ⇒ None ? |
---|
595 | | Some srcr1 ⇒ |
---|
596 | match srcr2 with |
---|
597 | [ None ⇒ None ? |
---|
598 | | Some srcr2 ⇒ |
---|
599 | adds_graph [ |
---|
600 | rtl_st_op2 And destr srcr1 srcr2 start_lbl |
---|
601 | ] start_lbl dest_lbl def |
---|
602 | ] |
---|
603 | ] |
---|
604 | ] |
---|
605 | | op_or ⇒ |
---|
606 | let destr ≝ extract_singleton ? destrs in |
---|
607 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
608 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
609 | match destr with |
---|
610 | [ None ⇒ None ? |
---|
611 | | Some destr ⇒ |
---|
612 | match srcr1 with |
---|
613 | [ None ⇒ None ? |
---|
614 | | Some srcr1 ⇒ |
---|
615 | match srcr2 with |
---|
616 | [ None ⇒ None ? |
---|
617 | | Some srcr2 ⇒ |
---|
618 | adds_graph [ |
---|
619 | rtl_st_op2 Or destr srcr1 srcr2 start_lbl |
---|
620 | ] start_lbl dest_lbl def |
---|
621 | ] |
---|
622 | ] |
---|
623 | ] |
---|
624 | | op_xor ⇒ |
---|
625 | let destr ≝ extract_singleton ? destrs in |
---|
626 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
627 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
628 | match destr with |
---|
629 | [ None ⇒ None ? |
---|
630 | | Some destr ⇒ |
---|
631 | match srcr1 with |
---|
632 | [ None ⇒ None ? |
---|
633 | | Some srcr1 ⇒ |
---|
634 | match srcr2 with |
---|
635 | [ None ⇒ None ? |
---|
636 | | Some srcr2 ⇒ |
---|
637 | adds_graph [ |
---|
638 | rtl_st_op2 Xor destr srcr1 srcr2 start_lbl |
---|
639 | ] start_lbl dest_lbl def |
---|
640 | ] |
---|
641 | ] |
---|
642 | ] |
---|
643 | | op_shru ⇒ None ? (* shifts not supported *) |
---|
644 | | op_shr ⇒ None ? |
---|
645 | | op_shl ⇒ None ? |
---|
646 | | op_addf ⇒ None ? (* floats not supported *) |
---|
647 | | op_subf ⇒ None ? |
---|
648 | | op_mulf ⇒ None ? |
---|
649 | | op_divf ⇒ None ? |
---|
650 | | op_cmpf _ ⇒ None ? |
---|
651 | | op_addp ⇒ |
---|
652 | let destr12 ≝ extract_pair ? destrs in |
---|
653 | match destr12 with |
---|
654 | [ None ⇒ None ? |
---|
655 | | Some destr12 ⇒ |
---|
656 | let 〈destr1, destr2〉 ≝ destr12 in |
---|
657 | let srcr12 ≝ extract_pair ? srcrs1 in |
---|
658 | match srcr12 with |
---|
659 | [ None ⇒ |
---|
660 | let srcr2 ≝ extract_singleton ? srcrs1 in |
---|
661 | match srcr2 with |
---|
662 | [ None ⇒ None ? |
---|
663 | | Some srcr2 ⇒ |
---|
664 | let srcr12 ≝ extract_pair ? srcrs2 in |
---|
665 | match srcr12 with |
---|
666 | [ None ⇒ None ? |
---|
667 | | Some srcr12 ⇒ |
---|
668 | let 〈srcr11, srcr12〉 ≝ srcr12 in |
---|
669 | let 〈def, tmpr1〉 ≝ fresh_reg def in |
---|
670 | let 〈def, tmpr2〉 ≝ fresh_reg def in |
---|
671 | adds_graph [ |
---|
672 | rtl_st_op2 Add tmpr1 srcr11 srcr2 start_lbl; |
---|
673 | rtl_st_int tmpr2 (bitvector_of_nat ? 0) start_lbl; |
---|
674 | rtl_st_op2 Addc destr2 tmpr2 srcr12 start_lbl; |
---|
675 | rtl_st_move destr1 tmpr1 start_lbl |
---|
676 | ] start_lbl dest_lbl def |
---|
677 | ] |
---|
678 | ] |
---|
679 | | Some srcr12 ⇒ |
---|
680 | let 〈srcr11, srcr12〉 ≝ srcr12 in |
---|
681 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
682 | match srcr2 with |
---|
683 | [ None ⇒ None ? |
---|
684 | | Some srcr2 ⇒ |
---|
685 | let 〈def, tmpr1〉 ≝ fresh_reg def in |
---|
686 | let 〈def, tmpr2〉 ≝ fresh_reg def in |
---|
687 | adds_graph [ |
---|
688 | rtl_st_op2 Add tmpr1 srcr11 srcr2 start_lbl; |
---|
689 | rtl_st_int tmpr2 (bitvector_of_nat ? 0) start_lbl; |
---|
690 | rtl_st_op2 Addc destr2 tmpr2 srcr12 start_lbl; |
---|
691 | rtl_st_move destr1 tmpr1 start_lbl |
---|
692 | ] start_lbl dest_lbl def |
---|
693 | ] |
---|
694 | ] |
---|
695 | ] |
---|
696 | | op_subp ⇒ |
---|
697 | let destr ≝ extract_singleton ? destrs in |
---|
698 | match destr with |
---|
699 | [ None ⇒ |
---|
700 | let destr12 ≝ extract_pair ? destrs in |
---|
701 | match destr12 with |
---|
702 | [ None ⇒ None ? |
---|
703 | | Some destr12 ⇒ |
---|
704 | let 〈destr1, destr2〉 ≝ destr12 in |
---|
705 | let srcr12 ≝ extract_pair ? srcrs1 in |
---|
706 | match srcr12 with |
---|
707 | [ None ⇒ None ? |
---|
708 | | Some srcr12 ⇒ |
---|
709 | let 〈srcr11, srcr12〉 ≝ srcr12 in |
---|
710 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
711 | match srcr2 with |
---|
712 | [ None ⇒ None ? |
---|
713 | | Some srcr2 ⇒ |
---|
714 | adds_graph [ |
---|
715 | rtl_st_clear_carry start_lbl; |
---|
716 | rtl_st_op2 Sub destr1 srcr11 srcr2 start_lbl; |
---|
717 | rtl_st_int destr2 (bitvector_of_nat ? 0) start_lbl; |
---|
718 | rtl_st_op2 Sub destr2 srcr12 destr2 start_lbl |
---|
719 | ] start_lbl dest_lbl def |
---|
720 | ] |
---|
721 | ] |
---|
722 | ] |
---|
723 | | Some destr ⇒ |
---|
724 | match srcrs1 with |
---|
725 | [ nil ⇒ None ? |
---|
726 | | cons srcr1 tl ⇒ |
---|
727 | match srcrs2 with |
---|
728 | [ nil ⇒ None ? |
---|
729 | | cons srcr2 tl' ⇒ |
---|
730 | let 〈def, tmpr1〉 ≝ fresh_reg def in |
---|
731 | let 〈def, tmpr2〉 ≝ fresh_reg def in |
---|
732 | adds_graph [ |
---|
733 | rtl_st_op1 Cmpl tmpr1 srcr2 start_lbl; |
---|
734 | rtl_st_int tmpr2 (bitvector_of_nat ? 1) start_lbl; |
---|
735 | rtl_st_op2 Add tmpr1 tmpr1 tmpr2 start_lbl; |
---|
736 | rtl_st_op2 Add destr srcr1 tmpr1 start_lbl |
---|
737 | ] start_lbl dest_lbl def |
---|
738 | ] |
---|
739 | ] |
---|
740 | ] |
---|
741 | | op_cmp cmp ⇒ |
---|
742 | match cmp with |
---|
743 | [ Compare_Equal ⇒ |
---|
744 | add_translates [ |
---|
745 | translate_op2 op_sub destrs srcrs1 srcrs2; |
---|
746 | translate_op1 op_not_bool destrs destrs |
---|
747 | ] start_lbl dest_lbl def |
---|
748 | | Compare_NotEqual ⇒ |
---|
749 | translate_op2 op_sub destrs srcrs1 srcrs2 start_lbl dest_lbl def |
---|
750 | | _ ⇒ None ? |
---|
751 | ] |
---|
752 | | op_cmpu cmp ⇒ |
---|
753 | match cmp with |
---|
754 | [ Compare_Equal ⇒ |
---|
755 | add_translates [ |
---|
756 | translate_op2 op_sub destrs srcrs1 srcrs2; |
---|
757 | translate_op1 op_not_bool destrs destrs |
---|
758 | ] start_lbl dest_lbl def |
---|
759 | | Compare_NotEqual ⇒ |
---|
760 | translate_op2 op_sub destrs srcrs1 srcrs2 start_lbl dest_lbl def |
---|
761 | | Compare |
---|
762 | | _ ⇒ None ? |
---|
763 | ] |
---|
764 | | _ ⇒ ? |
---|
765 | ]. |
---|
766 | |
---|
767 | | AST.Op_cmpu AST.Cmp_lt, [destr], [srcr1], [srcr2] -> |
---|
768 | let (def, tmpr) = fresh_reg def in |
---|
769 | adds_graph |
---|
770 | [RTL.St_clear_carry start_lbl ; |
---|
771 | RTL.St_op2 (I8051.Sub, destr, srcr1, srcr2, start_lbl) ; |
---|
772 | RTL.St_int (destr, 0, start_lbl) ; |
---|
773 | RTL.St_op2 (I8051.Addc, destr, destr, destr, start_lbl)] |
---|
774 | start_lbl dest_lbl def |
---|
775 | |
---|
776 | | AST.Op_cmpu AST.Cmp_gt, _, _, _ -> |
---|
777 | translate_op2 (AST.Op_cmpu AST.Cmp_lt) |
---|
778 | destrs srcrs2 srcrs1 start_lbl dest_lbl def |
---|
779 | |
---|
780 | | AST.Op_cmpu AST.Cmp_le, _, _, _ -> |
---|
781 | add_translates |
---|
782 | [translate_op2 (AST.Op_cmpu AST.Cmp_gt) destrs srcrs1 srcrs2 ; |
---|
783 | translate_op1 AST.Op_notbool destrs destrs] |
---|
784 | start_lbl dest_lbl def |
---|
785 | |
---|
786 | | AST.Op_cmpu AST.Cmp_ge, _, _, _ -> |
---|
787 | add_translates |
---|
788 | [translate_op2 (AST.Op_cmpu AST.Cmp_lt) destrs srcrs1 srcrs2 ; |
---|
789 | translate_op1 AST.Op_notbool destrs destrs] |
---|
790 | start_lbl dest_lbl def |
---|
791 | |
---|
792 | | AST.Op_cmp cmp, _, _, _ -> |
---|
793 | let (def, tmprs1) = fresh_regs def (List.length srcrs1) in |
---|
794 | let (def, tmprs2) = fresh_regs def (List.length srcrs2) in |
---|
795 | add_translates |
---|
796 | [translate_cst (AST.Cst_int 128) tmprs1 ; |
---|
797 | translate_cst (AST.Cst_int 128) tmprs2 ; |
---|
798 | translate_op2 AST.Op_add tmprs1 srcrs1 tmprs1 ; |
---|
799 | translate_op2 AST.Op_add tmprs2 srcrs2 tmprs2 ; |
---|
800 | translate_op2 (AST.Op_cmpu cmp) destrs tmprs1 tmprs2] |
---|
801 | start_lbl dest_lbl def |
---|
802 | |
---|
803 | | AST.Op_cmpp AST.Cmp_eq, [destr], [srcr11 ; srcr12], [srcr21 ; srcr22] -> |
---|
804 | let (def, tmpr) = fresh_reg def in |
---|
805 | add_translates |
---|
806 | [translate_op2 (AST.Op_cmpu AST.Cmp_ne) [tmpr] [srcr11] [srcr21] ; |
---|
807 | translate_op2 (AST.Op_cmpu AST.Cmp_ne) [destr] [srcr21] [srcr22] ; |
---|
808 | translate_op2 AST.Op_or [destr] [destr] [tmpr] ; |
---|
809 | adds_graph [RTL.St_int (tmpr, 1, start_lbl)] ; |
---|
810 | translate_op2 AST.Op_xor [destr] [destr] [tmpr]] |
---|
811 | start_lbl dest_lbl def |
---|
812 | |
---|
813 | | AST.Op_cmpp AST.Cmp_lt, [destr], [srcr11 ; srcr12], [srcr21 ; srcr22] -> |
---|
814 | let (def, tmpr1) = fresh_reg def in |
---|
815 | let (def, tmpr2) = fresh_reg def in |
---|
816 | add_translates |
---|
817 | [translate_op2 (AST.Op_cmpu AST.Cmp_lt) [tmpr1] [srcr12] [srcr22] ; |
---|
818 | translate_op2 (AST.Op_cmpu AST.Cmp_eq) [tmpr2] [srcr12] [srcr22] ; |
---|
819 | translate_op2 (AST.Op_cmpu AST.Cmp_lt) [destr] [srcr11] [srcr21] ; |
---|
820 | translate_op2 AST.Op_and [tmpr2] [tmpr2] [destr] ; |
---|
821 | translate_op2 AST.Op_or [destr] [tmpr1] [tmpr2]] |
---|
822 | start_lbl dest_lbl def |
---|
823 | |
---|
824 | | AST.Op_cmpp AST.Cmp_gt, _, _, _ -> |
---|
825 | translate_op2 (AST.Op_cmpp AST.Cmp_lt) |
---|
826 | destrs srcrs2 srcrs1 start_lbl dest_lbl def |
---|
827 | |
---|
828 | | AST.Op_cmpp AST.Cmp_le, _, _, _ -> |
---|
829 | add_translates |
---|
830 | [translate_op2 (AST.Op_cmpp AST.Cmp_gt) destrs srcrs1 srcrs2 ; |
---|
831 | translate_op1 AST.Op_notbool destrs destrs] |
---|
832 | start_lbl dest_lbl def |
---|
833 | |
---|
834 | | AST.Op_cmpp AST.Cmp_ge, _, _, _ -> |
---|
835 | add_translates |
---|
836 | [translate_op2 (AST.Op_cmpp AST.Cmp_lt) destrs srcrs1 srcrs2 ; |
---|
837 | translate_op1 AST.Op_notbool destrs destrs] |
---|
838 | start_lbl dest_lbl def |
---|
839 | |
---|
840 | | _ -> assert false (* wrong number of arguments *) |
---|
841 | *) |
---|
842 | |
---|
843 | definition translate_condcst ≝ |
---|
844 | λcst. |
---|
845 | λstart_lbl: label. |
---|
846 | λlbl_true: label. |
---|
847 | λlbl_false: label. |
---|
848 | λdef. |
---|
849 | match cst with |
---|
850 | [ cast_int i ⇒ |
---|
851 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
852 | adds_graph [ |
---|
853 | rtl_st_int tmpr i start_lbl; |
---|
854 | rtl_st_cond_acc tmpr lbl_true lbl_false |
---|
855 | ] start_lbl start_lbl def |
---|
856 | | cast_addr_symbol x ⇒ |
---|
857 | let 〈def, r1〉 ≝ fresh_reg def in |
---|
858 | let 〈def, r2〉 ≝ fresh_reg def in |
---|
859 | let lbl ≝ fresh_label def in |
---|
860 | match lbl with |
---|
861 | [ None ⇒ None ? |
---|
862 | | Some lbl ⇒ |
---|
863 | let def ≝ add_graph start_lbl (rtl_st_addr r1 r2 x lbl) def in |
---|
864 | translate_condptr r1 r2 lbl lbl_true lbl_false def |
---|
865 | ] |
---|
866 | | cast_stack_offset off ⇒ |
---|
867 | let 〈def, r1〉 ≝ fresh_reg def in |
---|
868 | let 〈def, r2〉 ≝ fresh_reg def in |
---|
869 | let tmp_lbl ≝ fresh_label def in |
---|
870 | match tmp_lbl with |
---|
871 | [ None ⇒ None ? |
---|
872 | | Some tmp_lbl ⇒ |
---|
873 | let def ≝ translate_cst (cast_stack_offset off) [r1; r2] start_lbl tmp_lbl def in |
---|
874 | match def with |
---|
875 | [ None ⇒ None ? |
---|
876 | | Some def ⇒ translate_condptr r1 r2 tmp_lbl lbl_true lbl_false def |
---|
877 | ] |
---|
878 | ] |
---|
879 | | cast_float f ⇒ None ? (* error_float *) |
---|
880 | ]. |
---|
881 | |
---|
882 | definition size_of_op1_ret ≝ |
---|
883 | λop. |
---|
884 | match op with |
---|
885 | [ op_cast8_unsigned ⇒ Some ? 1 |
---|
886 | | op_cast8_signed ⇒ Some ? 1 |
---|
887 | | op_cast16_unsigned ⇒ Some ? 1 |
---|
888 | | op_cast16_signed ⇒ Some ? 1 |
---|
889 | | op_neg_int ⇒ Some ? 1 |
---|
890 | | op_not_int ⇒ Some ? 1 |
---|
891 | | op_int_of_ptr ⇒ Some ? 1 |
---|
892 | | op_ptr_of_int ⇒ Some ? 2 |
---|
893 | | op_id ⇒ None ? (* invalid_argument *) |
---|
894 | | _ ⇒ None ? (* error_float *) |
---|
895 | ]. |
---|
896 | |
---|
897 | definition translate_cond1 ≝ |
---|
898 | λop1. |
---|
899 | λsrcrs: list register. |
---|
900 | λstart_lbl: label. |
---|
901 | λlbl_true: label. |
---|
902 | λlbl_false: label. |
---|
903 | λdef. |
---|
904 | match op1 with |
---|
905 | [ op_id ⇒ |
---|
906 | let srcr ≝ extract_singleton ? srcrs in |
---|
907 | match srcr with |
---|
908 | [ None ⇒ |
---|
909 | let srcr12 ≝ extract_pair ? srcrs in |
---|
910 | match srcr12 with |
---|
911 | [ None ⇒ None ? |
---|
912 | | Some srcr12 ⇒ |
---|
913 | let 〈srcr1, srcr2〉 ≝ srcr12 in |
---|
914 | translate_condptr srcr1 srcr2 start_lbl lbl_true lbl_false def |
---|
915 | ] |
---|
916 | | Some srcr ⇒ |
---|
917 | adds_graph [ |
---|
918 | rtl_st_cond_acc srcr lbl_true lbl_false |
---|
919 | ] start_lbl start_lbl def |
---|
920 | ] |
---|
921 | | _ ⇒ |
---|
922 | let size ≝ size_of_op1_ret op1 in |
---|
923 | match size with |
---|
924 | [ None ⇒ None ? |
---|
925 | | Some size ⇒ |
---|
926 | let 〈def, destrs〉 ≝ fresh_regs def size in |
---|
927 | let lbl ≝ fresh_label def in |
---|
928 | match lbl with |
---|
929 | [ None ⇒ None ? |
---|
930 | | Some lbl ⇒ |
---|
931 | let def ≝ translate_op1 op1 destrs srcrs start_lbl lbl def in |
---|
932 | match def with |
---|
933 | [ None ⇒ None ? |
---|
934 | | Some def ⇒ |
---|
935 | let destr ≝ extract_singleton ? destrs in |
---|
936 | match destr with |
---|
937 | [ None ⇒ |
---|
938 | let destr12 ≝ extract_pair ? destrs in |
---|
939 | match destr12 with |
---|
940 | [ None ⇒ None ? |
---|
941 | | Some destr12 ⇒ |
---|
942 | let 〈destr1, destr2〉 ≝ destr12 in |
---|
943 | translate_condptr destr1 destr2 start_lbl lbl_true lbl_false def |
---|
944 | ] |
---|
945 | | Some destr ⇒ |
---|
946 | adds_graph [ |
---|
947 | rtl_st_cond_acc destr lbl_true lbl_false |
---|
948 | ] start_lbl start_lbl def |
---|
949 | ] |
---|
950 | ] |
---|
951 | ] |
---|
952 | ] |
---|
953 | ]. |
---|
954 | |
---|
955 | definition size_of_op2_ret ≝ |
---|
956 | λn: nat. |
---|
957 | λop2. |
---|
958 | match op2 with |
---|
959 | [ op_add ⇒ Some ? 1 |
---|
960 | | op_sub ⇒ Some ? 1 |
---|
961 | | op_mul ⇒ Some ? 1 |
---|
962 | | op_div ⇒ Some ? 1 |
---|
963 | | op_divu ⇒ Some ? 1 |
---|
964 | | op_mod ⇒ Some ? 1 |
---|
965 | | op_modu ⇒ Some ? 1 |
---|
966 | | op_and ⇒ Some ? 1 |
---|
967 | | op_or ⇒ Some ? 1 |
---|
968 | | op_xor ⇒ Some ? 1 |
---|
969 | | op_shl ⇒ Some ? 1 |
---|
970 | | op_shr ⇒ Some ? 1 |
---|
971 | | op_shru ⇒ Some ? 1 |
---|
972 | | op_cmp _ ⇒ Some ? 1 |
---|
973 | | op_cmpu _ ⇒ Some ? 1 |
---|
974 | | op_cmpp _ ⇒ Some ? 1 |
---|
975 | | op_addp ⇒ Some ? 2 |
---|
976 | | op_subp ⇒ |
---|
977 | if eq_nat n 4 then |
---|
978 | Some ? 1 |
---|
979 | else |
---|
980 | Some ? 2 |
---|
981 | | _ ⇒ None ? (* error_float *) |
---|
982 | ]. |
---|
983 | |
---|
984 | axiom translate_op2: |
---|
985 | op2 → list register → list register → list register → label → label → rtl_internal_function → option rtl_internal_function. |
---|
986 | |
---|
987 | definition translate_cond2 ≝ |
---|
988 | λop2. |
---|
989 | λsrcrs1: list register. |
---|
990 | λsrcrs2: list register. |
---|
991 | λstart_lbl: label. |
---|
992 | λlbl_true: label. |
---|
993 | λlbl_false: label. |
---|
994 | λdef. |
---|
995 | match op2 with |
---|
996 | [ op_cmp cmp ⇒ |
---|
997 | match cmp with |
---|
998 | [ Compare_Equal ⇒ |
---|
999 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
1000 | match srcr1 with |
---|
1001 | [ None ⇒ None ? |
---|
1002 | | Some srcr1 ⇒ |
---|
1003 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
1004 | match srcr2 with |
---|
1005 | [ None ⇒ None ? |
---|
1006 | | Some srcr2 ⇒ |
---|
1007 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1008 | adds_graph [ |
---|
1009 | rtl_st_clear_carry start_lbl; |
---|
1010 | rtl_st_op2 Sub tmpr srcr1 srcr2 start_lbl; |
---|
1011 | rtl_st_cond_acc tmpr lbl_false lbl_true |
---|
1012 | ] start_lbl start_lbl def |
---|
1013 | ] |
---|
1014 | ] |
---|
1015 | | _ ⇒ |
---|
1016 | let n ≝ length ? srcrs1 + length ? srcrs2 in |
---|
1017 | match size_of_op2_ret n op2 with |
---|
1018 | [ None ⇒ None ? |
---|
1019 | | Some size ⇒ |
---|
1020 | let 〈def, destrs〉 ≝ fresh_regs def size in |
---|
1021 | let lbl ≝ fresh_label def in |
---|
1022 | match lbl with |
---|
1023 | [ None ⇒ None ? |
---|
1024 | | Some lbl ⇒ |
---|
1025 | match translate_op2 op2 destrs srcrs1 srcrs2 start_lbl lbl def with |
---|
1026 | [ None ⇒ None ? |
---|
1027 | | Some def ⇒ translate_cond1 op_id destrs lbl lbl_true lbl_false def |
---|
1028 | ] |
---|
1029 | ] |
---|
1030 | ] |
---|
1031 | ] |
---|
1032 | | _ ⇒ |
---|
1033 | let n ≝ length ? srcrs1 + length ? srcrs2 in |
---|
1034 | match size_of_op2_ret n op2 with |
---|
1035 | [ None ⇒ None ? |
---|
1036 | | Some size ⇒ |
---|
1037 | let 〈def, destrs〉 ≝ fresh_regs def size in |
---|
1038 | let lbl ≝ fresh_label def in |
---|
1039 | match lbl with |
---|
1040 | [ None ⇒ None ? |
---|
1041 | | Some lbl ⇒ |
---|
1042 | match translate_op2 op2 destrs srcrs1 srcrs2 start_lbl lbl def with |
---|
1043 | [ None ⇒ None ? |
---|
1044 | | Some def ⇒ translate_cond1 op_id destrs lbl lbl_true lbl_false def |
---|
1045 | ] |
---|
1046 | ] |
---|
1047 | ] |
---|
1048 | ]. |
---|
1049 | |
---|
1050 | let rec addressing_pointer (mode: ?) (args: ?) (destr1: ?) |
---|
1051 | (destr2: ?) (start_lbl: label) |
---|
1052 | (dest_lbl: label) (def: rtl_internal_function) ≝ |
---|
1053 | let destrs ≝ [ destr1; destr2 ] in |
---|
1054 | match mode with |
---|
1055 | [ Aindexed off ⇒ |
---|
1056 | let srcr12 ≝ extract_singleton ? args in |
---|
1057 | match srcr12 with |
---|
1058 | [ None ⇒ None ? |
---|
1059 | | Some srcr12 ⇒ |
---|
1060 | let srcr12 ≝ extract_pair ? srcr12 in |
---|
1061 | match srcr12 with |
---|
1062 | [ None ⇒ None ? |
---|
1063 | | Some srcr12 ⇒ |
---|
1064 | let 〈srcr1, srcr2〉 ≝ srcr12 in |
---|
1065 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1066 | add_translates [ |
---|
1067 | adds_graph [ |
---|
1068 | rtl_st_int tmpr off start_lbl |
---|
1069 | ]; |
---|
1070 | translate_op2 op_addp destrs [ srcr1 ; srcr2 ] [tmpr] |
---|
1071 | ] start_lbl dest_lbl def |
---|
1072 | ] |
---|
1073 | ] |
---|
1074 | | Aindexed2 ⇒ |
---|
1075 | let args_pair ≝ extract_pair ? args in |
---|
1076 | match args_pair with |
---|
1077 | [ None ⇒ None ? |
---|
1078 | | Some args_pair ⇒ |
---|
1079 | let 〈lft, rgt〉 ≝ args_pair in |
---|
1080 | let srcr1112 ≝ extract_pair ? lft in |
---|
1081 | let srcr2 ≝ extract_singleton ? rgt in |
---|
1082 | match srcr1112 with |
---|
1083 | [ None ⇒ |
---|
1084 | let srcr2 ≝ extract_singleton ? rgt in |
---|
1085 | let srcr1112 ≝ extract_pair ? lft in |
---|
1086 | match srcr2 with |
---|
1087 | [ None ⇒ None ? |
---|
1088 | | Some srcr2 ⇒ |
---|
1089 | match srcr1112 with |
---|
1090 | [ None ⇒ None ? |
---|
1091 | | Some srcr1112 ⇒ |
---|
1092 | let 〈srcr11, srcr12〉 ≝ srcr1112 in |
---|
1093 | translate_op2 op_addp destrs [ srcr11; srcr12 ] [ srcr2 ] start_lbl dest_lbl def |
---|
1094 | ] |
---|
1095 | ] |
---|
1096 | | Some srcr1112 ⇒ |
---|
1097 | let 〈srcr11, srcr12〉 ≝ srcr1112 in |
---|
1098 | match srcr2 with |
---|
1099 | [ None ⇒ None ? |
---|
1100 | | Some srcr2 ⇒ |
---|
1101 | translate_op2 op_addp destrs [ srcr11; srcr12 ] [ srcr2 ] start_lbl dest_lbl def |
---|
1102 | ] |
---|
1103 | ] |
---|
1104 | ] |
---|
1105 | | Aglobal x off ⇒ |
---|
1106 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1107 | add_translates [ |
---|
1108 | adds_graph [ |
---|
1109 | rtl_st_int tmpr off start_lbl; |
---|
1110 | rtl_st_addr destr1 destr2 x start_lbl |
---|
1111 | ]; |
---|
1112 | translate_op2 op_addp destrs destrs [ tmpr ] |
---|
1113 | ] start_lbl dest_lbl def |
---|
1114 | | Abased x off ⇒ |
---|
1115 | let srcrs ≝ extract_singleton ? args in |
---|
1116 | match srcrs with |
---|
1117 | [ None ⇒ None ? |
---|
1118 | | Some srcrs ⇒ |
---|
1119 | let 〈def, tmpr1〉 ≝ fresh_reg def in |
---|
1120 | let 〈def, tmpr2〉 ≝ fresh_reg def in |
---|
1121 | (* mode, args, destr1, destr2, start_lbl, dest_lbl, def *) |
---|
1122 | (* addressing_pointer (Aglobal x off) [ ] tmpr1 tmpr2; *) |
---|
1123 | let address_unfold ≝ |
---|
1124 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1125 | add_translates [ |
---|
1126 | adds_graph [ |
---|
1127 | rtl_st_int tmpr off start_lbl; |
---|
1128 | rtl_st_addr tmpr1 tmpr2 x start_lbl |
---|
1129 | ]; |
---|
1130 | translate_op2 op_addp destrs destrs [ tmpr ] |
---|
1131 | ] |
---|
1132 | in |
---|
1133 | add_translates [ |
---|
1134 | address_unfold; |
---|
1135 | translate_op2 op_addp destrs [ tmpr1; tmpr2 ] srcrs |
---|
1136 | ] start_lbl dest_lbl def |
---|
1137 | ] |
---|
1138 | | Ainstack off ⇒ |
---|
1139 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1140 | add_translates [ |
---|
1141 | adds_graph [ |
---|
1142 | rtl_st_int tmpr off start_lbl; |
---|
1143 | rtl_st_stack_addr destr1 destr2 start_lbl |
---|
1144 | ]; |
---|
1145 | translate_op2 op_addp destrs destrs [ tmpr ] |
---|
1146 | ] start_lbl dest_lbl def |
---|
1147 | | _ ⇒ None ? (* wrong number of arguments *) |
---|
1148 | ]. |
---|
1149 | |
---|
1150 | definition translate_load ≝ |
---|
1151 | λq. |
---|
1152 | λmode. |
---|
1153 | λargs. |
---|
1154 | λdestrs. |
---|
1155 | λstart_lbl: label. |
---|
1156 | λdest_lbl: label. |
---|
1157 | λdef. |
---|
1158 | match q with |
---|
1159 | [ q_int b ⇒ |
---|
1160 | if eq_bv ? b (bitvector_of_nat ? 1) then |
---|
1161 | match extract_singleton ? destrs with |
---|
1162 | [ None ⇒ None ? (* error: size error in load *) |
---|
1163 | | Some destr ⇒ |
---|
1164 | let 〈def, addr1〉 ≝ fresh_reg def in |
---|
1165 | let 〈def, addr2〉 ≝ fresh_reg def in |
---|
1166 | Some ? (add_translates [ |
---|
1167 | addressing_pointer mode args addr1 addr2; |
---|
1168 | adds_graph [ |
---|
1169 | rtl_st_load destr addr1 addr2 start_lbl |
---|
1170 | ] |
---|
1171 | ] start_lbl dest_lbl def) |
---|
1172 | ] |
---|
1173 | else |
---|
1174 | None ? (* error: size error in load *) |
---|
1175 | | q_ptr ⇒ |
---|
1176 | match extract_pair ? destrs with |
---|
1177 | [ None ⇒ None ? (* error: size error in load *) |
---|
1178 | | Some destr12 ⇒ |
---|
1179 | let 〈destr1, destr2〉 ≝ destr12 in |
---|
1180 | let 〈def, addr1〉 ≝ fresh_reg def in |
---|
1181 | let 〈def, addr2〉 ≝ fresh_reg def in |
---|
1182 | let addr ≝ [ addr1; addr2 ] in |
---|
1183 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1184 | Some ? ( |
---|
1185 | add_translates [ |
---|
1186 | addressing_pointer mode args addr1 addr2; |
---|
1187 | adds_graph [ |
---|
1188 | rtl_st_load destr1 addr1 addr2 start_lbl; |
---|
1189 | rtl_st_int tmpr (bitvector_of_nat ? 1) start_lbl |
---|
1190 | ]; |
---|
1191 | translate_op2 op_addp addr addr [ tmpr ]; |
---|
1192 | adds_graph [ |
---|
1193 | rtl_st_load destr2 addr1 addr2 start_lbl |
---|
1194 | ] |
---|
1195 | ] start_lbl dest_lbl def |
---|
1196 | ) |
---|
1197 | ] |
---|
1198 | | _ ⇒ None ? (* error: size error in load *) |
---|
1199 | ]. |
---|
1200 | |
---|
1201 | definition make_addr ≝ |
---|
1202 | λA: Type[0]. |
---|
1203 | λlst: list A. |
---|
1204 | match lst with |
---|
1205 | [ cons hd tl ⇒ |
---|
1206 | match tl with |
---|
1207 | [ cons hd' tl' ⇒ Some ? 〈hd, hd'〉 |
---|
1208 | | _ ⇒ None ? (* do not use on these arguments *) |
---|
1209 | ] |
---|
1210 | | _ ⇒ None ? (* do not use on these arguments *) |
---|
1211 | ]. |
---|
1212 | |
---|
1213 | definition translate_store_internal ≝ |
---|
1214 | λaddr. |
---|
1215 | λtmp_addr. |
---|
1216 | λtmpr. |
---|
1217 | λstart_lbl. |
---|
1218 | λdest_lbl. |
---|
1219 | λtmp_addr1. |
---|
1220 | λtmp_addr2. |
---|
1221 | λtranslates_off. |
---|
1222 | λsrcr. |
---|
1223 | let 〈translates, off〉 ≝ translates_off in |
---|
1224 | let translates ≝ translates @ |
---|
1225 | [ adds_graph [ |
---|
1226 | rtl_st_int tmpr off start_lbl |
---|
1227 | ]; |
---|
1228 | translate_op2 op_addp tmp_addr addr [ tmpr ]; |
---|
1229 | adds_graph [ |
---|
1230 | rtl_st_store tmp_addr1 tmp_addr2 srcr dest_lbl |
---|
1231 | ] |
---|
1232 | ] |
---|
1233 | in |
---|
1234 | let 〈ignore, result〉 ≝ half_add ? off int_size in |
---|
1235 | 〈translates, result〉. |
---|
1236 | |
---|
1237 | definition translate_store ≝ |
---|
1238 | λaddr. |
---|
1239 | λsrcrs. |
---|
1240 | λstart_lbl. |
---|
1241 | λdest_lbl. |
---|
1242 | λdef. |
---|
1243 | let 〈def, tmp_addr〉 ≝ fresh_regs def (length ? addr) in |
---|
1244 | match make_addr ? tmp_addr with |
---|
1245 | [ None ⇒ None ? |
---|
1246 | | Some tmp_addr12 ⇒ |
---|
1247 | let 〈tmp_addr1, tmp_addr2〉 ≝ tmp_addr12 in |
---|
1248 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1249 | let f ≝ translate_store_internal addr tmp_addr tmpr start_lbl dest_lbl tmp_addr1 tmp_addr2 in |
---|
1250 | let 〈translates, ignore〉 ≝ foldl ? ? f 〈[], zero ?〉 srcrs in |
---|
1251 | add_translates translates start_lbl dest_lbl def |
---|
1252 | ]. |
---|
1253 | |
---|
1254 | definition translate_stmt ≝ |
---|
1255 | λlenv. |
---|
1256 | λlbl. |
---|
1257 | λstmt. |
---|
1258 | λdef. |
---|
1259 | match stmt with |
---|
1260 | [ St_skip lbl' ⇒ add_graph lbl (rtl_st_skip lbl') def |
---|
1261 | | St_cost cost_lbl lbl' ⇒ add_graph lbl (rtl_st_cost cost_lbl lbl') def |
---|
1262 | | St_cast destr cst lbl' ⇒ |
---|
1263 | translate_cst cst (find_local_env destr lenv) lbl lbl' def |
---|
1264 | | _ ⇒ ? |
---|
1265 | ]. |
---|
1266 | |
---|
1267 | let translate_stmt lenv lbl stmt def = match stmt with |
---|
1268 | |
---|
1269 | | RTLabs.St_skip lbl' -> |
---|
1270 | add_graph lbl (RTL.St_skip lbl') def |
---|
1271 | |
---|
1272 | | RTLabs.St_cost (cost_lbl, lbl') -> |
---|
1273 | add_graph lbl (RTL.St_cost (cost_lbl, lbl')) def |
---|
1274 | |
---|
1275 | | RTLabs.St_cst (destr, cst, lbl') -> |
---|
1276 | translate_cst cst (find_local_env destr lenv) lbl lbl' def |
---|
1277 | |
---|
1278 | | RTLabs.St_op1 (op1, destr, srcr, lbl') -> |
---|
1279 | translate_op1 op1 (find_local_env destr lenv) (find_local_env srcr lenv) |
---|
1280 | lbl lbl' def |
---|
1281 | |
---|
1282 | | RTLabs.St_op2 (op2, destr, srcr1, srcr2, lbl') -> |
---|
1283 | translate_op2 op2 (find_local_env destr lenv) |
---|
1284 | (find_local_env srcr1 lenv) (find_local_env srcr2 lenv) lbl lbl' def |
---|
1285 | |
---|
1286 | | RTLabs.St_load (_, addr, destr, lbl') -> |
---|
1287 | translate_load (find_local_env addr lenv) (find_local_env destr lenv) |
---|
1288 | lbl lbl' def |
---|
1289 | |
---|
1290 | | RTLabs.St_store (_, addr, srcr, lbl') -> |
---|
1291 | translate_store (find_local_env addr lenv) (find_local_env srcr lenv) |
---|
1292 | lbl lbl' def |
---|
1293 | |
---|
1294 | | RTLabs.St_call_id (f, args, None, _, lbl') -> |
---|
1295 | add_graph lbl (RTL.St_call_id (f, rtl_args args lenv, [], lbl')) def |
---|
1296 | |
---|
1297 | | RTLabs.St_call_id (f, args, Some retr, _, lbl') -> |
---|
1298 | add_graph lbl (RTL.St_call_id (f, rtl_args args lenv, |
---|
1299 | find_local_env retr lenv, lbl')) def |
---|
1300 | |
---|
1301 | | RTLabs.St_call_ptr (f, args, None, _, lbl') -> |
---|
1302 | let (f1, f2) = find_and_addr f lenv in |
---|
1303 | add_graph lbl (RTL.St_call_ptr (f1, f2, rtl_args args lenv, [], lbl')) def |
---|
1304 | |
---|
1305 | | RTLabs.St_call_ptr (f, args, Some retr, _, lbl') -> |
---|
1306 | let (f1, f2) = find_and_addr f lenv in |
---|
1307 | add_graph lbl |
---|
1308 | (RTL.St_call_ptr |
---|
1309 | (f1, f2, rtl_args args lenv, find_local_env retr lenv, lbl')) def |
---|
1310 | |
---|
1311 | | RTLabs.St_tailcall_id (f, args, _) -> |
---|
1312 | add_graph lbl (RTL.St_tailcall_id (f, rtl_args args lenv)) def |
---|
1313 | |
---|
1314 | | RTLabs.St_tailcall_ptr (f, args, _) -> |
---|
1315 | let (f1, f2) = find_and_addr f lenv in |
---|
1316 | add_graph lbl (RTL.St_tailcall_ptr (f1, f2, rtl_args args lenv)) def |
---|
1317 | |
---|
1318 | | RTLabs.St_cond (r, lbl_true, lbl_false) -> |
---|
1319 | translate_cond (find_local_env r lenv) lbl lbl_true lbl_false def |
---|
1320 | |
---|
1321 | | RTLabs.St_jumptable _ -> |
---|
1322 | error "Jump tables not supported yet." |
---|
1323 | |
---|
1324 | | RTLabs.St_return None -> |
---|
1325 | add_graph lbl (RTL.St_return []) def |
---|
1326 | |
---|
1327 | | RTLabs.St_return (Some r) -> |
---|
1328 | add_graph lbl (RTL.St_return (find_local_env r lenv)) def |
---|