source: src/ERTL/ERTLToLTL.ma @ 1166

Last change on this file since 1166 was 1166, checked in by mulligan, 8 years ago

moved joint ltl lin files into their own directory. more changes to ltl and lin passes to help type checker in ertl pass

File size: 21.6 KB
Line 
1include "ERTL/ERTL.ma".
2include "LTL/LTL.ma".
3include "ERTL/spill.ma".
4include "ASM/Arithmetic.ma".
5
6(* XXX: change from O'Caml: former contents of ERTLToLTLI.ma *)
7
8inductive decision: Type[0] ≝
9  | decision_spill: Byte → decision
10  | decision_colour: Register → decision.
11 
12axiom lookup: register → decision.
13
14definition fresh_label ≝
15  λglobals: list ident.
16  λluniv.
17    fresh LabelTag luniv.
18
19definition add_graph ≝
20  λglobals.
21  λlabel.
22  λstmt: ltl_statement globals.
23  λgraph: ltl_statement_graph globals.
24    add LabelTag ? graph label stmt.
25
26definition generate ≝
27  λglobals: list ident.
28  λluniv.
29  λgraph: ltl_statement_graph globals.
30  λstmt: ltl_statement globals.
31  let 〈l, luniv〉 ≝ fresh_label globals luniv in
32  let graph ≝ add_graph globals l stmt graph in
33    〈l, graph, luniv〉.
34
35definition num_locals ≝
36  λglobals.
37  λint_fun.
38    colour_locals + (ertl_if_stacksize globals int_fun).
39
40definition stacksize ≝
41  λglobals.
42  λint_fun.
43    colour_locals + (ertl_if_stacksize globals int_fun).
44
45definition adjust_off ≝
46  λglobals.
47  λint_fun.
48  λoff.
49  let 〈ignore, int_off〉 ≝ half_add ? int_size off in
50  let 〈sub, ignore〉 ≝ sub_8_with_carry (bitvector_of_nat ? (num_locals globals int_fun)) int_off false in
51    sub.
52
53definition get_stack ≝
54  λglobals: list ident.
55  λint_fun.
56  λgraph: graph (ltl_statement (globals)).
57  λr.
58  λoff.
59  λl.
60    let off ≝ adjust_off globals int_fun off in
61    let luniv ≝ ertl_if_luniverse globals int_fun in
62    let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ??????? globals (joint_instr_move … globals (from_acc r)) l) in
63    ?.
64   
65    let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ? globals (joint_instr_load globals) l) in
66    let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterDPH) l) in
67    let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ? globals (joint_instr_op2 globals Addc RegisterSPH) l) in
68    let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ? globals (joint_instr_int globals RegisterA (zero ?)) l) in
69    let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterDPL) l) in
70    let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ? globals (joint_instr_op2 globals Add RegisterSPL) l) in
71      〈joint_st_sequential ? globals (joint_instr_int globals RegisterA off) l, 〈graph, luniv〉〉.
72
73definition set_stack ≝
74  λint_fun.
75  λglobals.
76  λgraph: graph (ltl_statement (globals)).
77  λoff.
78  λr.
79  λl.
80  let off ≝ adjust_off int_fun off in
81  let luniv ≝ ertl_if_luniverse int_fun in
82  let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ? globals (joint_instr_store globals) l) in
83  let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ? globals (joint_instr_to_acc globals r) l) in
84  let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterDPH) l) in
85  let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ? globals (joint_instr_op2 globals Addc RegisterSPH) l) in
86  let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ? globals (joint_instr_int globals RegisterA (zero ?)) l) in
87  let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterDPL) l) in
88  let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ? globals (joint_instr_op2 globals Add RegisterSPL) l) in
89    〈joint_st_sequential ? globals (joint_instr_int globals RegisterA off) l, 〈graph, luniv〉〉.
90
91definition write ≝
92  λint_fun.
93  λglobals.
94  λgraph: graph (ltl_statement (globals)).
95  λr: register.
96  λl: label.
97  match lookup r with
98  [ decision_spill off ⇒
99    let 〈stmt, graph, luniv〉 ≝ set_stack int_fun globals graph off RegisterSST l in
100    let 〈l, graph, int_fun〉 ≝ generate globals luniv graph stmt in
101      〈RegisterSST, 〈l, 〈graph, luniv〉〉〉
102  | decision_colour hwr ⇒
103    let luniv ≝ ertl_if_luniverse int_fun in
104      〈hwr, 〈l, 〈graph, luniv〉〉〉
105  ].
106
107definition read ≝
108  λint_fun.
109  λglobals.
110  λgraph: graph (ltl_statement (globals)).
111  λr: register.
112  λstmt: Register → ltl_statement globals.
113  match lookup r with
114  [ decision_colour hwr ⇒ generate globals graph (stmt hwr)
115  | decision_spill off ⇒
116    let temphwr ≝ RegisterSST in
117    let 〈l, graph〉 ≝ generate globals graph (stmt temphwr) in
118    let 〈stmt, graph〉 ≝ get_stack int_fun globals graph temphwr off l in
119      generate globals graph stmt
120  ].
121
122definition move ≝
123  λint_fun.
124  λglobals: list ident.
125  λgraph: graph (ltl_statement globals).
126  λdest: decision.
127  λsrc: decision.
128  λl: label.
129  match dest with
130  [ decision_colour dest_hwr ⇒
131    match src with
132    [ decision_colour src_hwr ⇒
133      if eq_Register dest_hwr src_hwr then
134        〈joint_st_goto ? globals l, graph〉
135      else
136        let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals dest_hwr) l) in
137          〈joint_st_sequential ? globals (joint_instr_to_acc globals src_hwr) l, graph〉
138    | decision_spill src_off ⇒ get_stack int_fun globals graph dest_hwr src_off l
139    ]
140  | decision_spill dest_off ⇒
141    match src with
142    [ decision_colour src_hwr ⇒ set_stack int_fun globals graph dest_off src_hwr l
143    | decision_spill src_off ⇒
144      if eq_bv ? dest_off src_off then
145        〈joint_st_goto ? globals l, graph〉
146      else
147        let temp_hwr ≝ RegisterSST in
148        let 〈stmt, graph〉 ≝ set_stack int_fun globals graph dest_off temp_hwr l in
149        let 〈l, graph〉 ≝ generate globals graph stmt in
150          get_stack int_fun globals graph temp_hwr src_off l
151    ]
152  ].
153
154definition newframe ≝
155  λint_fun.
156  λglobals.
157  λgraph: graph (ltl_statement globals).
158  λl.
159  if eq_nat (stacksize int_fun) 0 then
160    〈joint_st_goto ? globals l, graph〉
161  else
162    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterSPH) l) in
163    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_op2 globals Sub RegisterDPH) l) in
164    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_int globals RegisterDPH (zero ?)) l) in
165    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_to_acc globals RegisterSPH) l) in
166    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterSPL) l) in
167    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_op2 globals Sub RegisterDPL) l) in
168    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_clear_carry globals) l) in
169    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_int globals RegisterDPL (bitvector_of_nat ? (stacksize int_fun))) l) in
170      〈joint_st_sequential ? globals (joint_instr_to_acc globals RegisterSPL) l, graph〉.
171
172definition delframe ≝
173  λint_fun.
174  λglobals.
175  λgraph: graph (ltl_statement globals).
176  λl.
177  if eq_nat (stacksize int_fun) 0 then
178    〈joint_st_goto ? globals l, graph〉
179  else
180    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterSPH) l) in
181    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_op2 globals Addc RegisterSPH) l) in
182    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_int globals RegisterA (zero ?)) l) in
183    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterSPL) l) in
184    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_op2 globals Add RegisterSPL) l) in
185      〈joint_st_sequential ? globals (joint_instr_int globals RegisterA (bitvector_of_nat ? (stacksize int_fun))) l, graph〉.
186
187definition translate_statement ≝
188  λint_fun.
189  λglobals: list ident.
190  λgraph: graph (ltl_statement globals).
191  λstmt: ertl_statement.
192  match stmt with
193  [ ertl_st_skip l ⇒ 〈joint_st_goto ? globals l, graph〉
194  | ertl_st_comment s l ⇒ 〈joint_st_sequential ? globals (joint_instr_comment globals s) l, graph〉
195  | ertl_st_cost cost_lbl l ⇒ 〈joint_st_sequential ? globals (joint_instr_cost_label globals cost_lbl) l, graph〉
196  | ertl_st_get_hdw destr sourcehwr l ⇒ move int_fun globals graph (lookup destr) (decision_colour sourcehwr) l
197  | ertl_st_set_hdw desthwr srcr l ⇒ move int_fun globals graph (decision_colour desthwr) (lookup srcr) l
198  | ertl_st_hdw_to_hdw r1 r2 l ⇒
199    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals r1) l) in
200      〈joint_st_sequential ? globals (joint_instr_to_acc globals r2) l, graph〉
201  | ertl_st_new_frame l ⇒ newframe int_fun globals graph l
202  | ertl_st_del_frame l ⇒ delframe int_fun globals graph l
203  | ertl_st_frame_size r l ⇒
204    let 〈hdw, l〉 ≝ write int_fun globals graph r l in
205    let 〈l, graph〉 ≝ l in
206      〈joint_st_sequential ? globals (joint_instr_int globals hdw (bitvector_of_nat ? (stacksize int_fun))) l, graph〉
207  | ertl_st_pop r l ⇒
208    let 〈hdw, l〉 ≝ write int_fun globals graph r l in
209    let 〈l, graph〉 ≝ l in
210    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals hdw) l) in
211      〈joint_st_sequential ? globals (joint_instr_pop globals) l, graph〉
212  | ertl_st_push r l ⇒
213    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_push globals) l) in
214    let 〈l, graph〉 ≝ read int_fun globals graph r (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
215      〈joint_st_goto ? globals l, graph〉
216  | ertl_st_addr rl rh x l ⇒
217    let 〈hdw1, l〉 ≝ write int_fun globals graph rh l in
218    let 〈l, graph〉 ≝ l in
219    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals hdw1) l) in
220    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_to_acc globals RegisterDPH) l) in
221    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_address globals x ?) l) in
222    let 〈hdw2, l〉 ≝ write int_fun globals graph rl l in
223    let 〈l, graph〉 ≝ l in
224    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals hdw2) l) in
225    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_to_acc globals RegisterDPL) l) in
226      〈joint_st_sequential ? globals (joint_instr_address globals x ?) l, graph〉
227(*  | ertl_st_addr_h r x l ⇒
228    let 〈hdw, l〉 ≝ write int_fun globals graph r l in
229    let 〈l, graph〉 ≝ generate globals graph (ltl_st_lift globals (joint_st_sequential ? globals (joint_instr_from_acc globals hdw) l)) in
230    let 〈l, graph〉 ≝ generate globals graph (ltl_st_lift globals (joint_st_sequential ? globals (joint_instr_to_acc globals RegisterDPH) l)) in
231      ltl_st_lift globals (joint_st_sequential ? globals (joint_instr_address globals x ?) l)
232  | ertl_st_addr_l r x l ⇒
233    let 〈hdw, l〉 ≝ write int_fun globals graph r l in
234    let 〈l, graph〉 ≝ generate globals graph (ltl_st_lift globals (joint_st_sequential ? globals (joint_instr_from_acc globals hdw) l)) in
235    let 〈l, graph〉 ≝ generate globals graph (ltl_st_lift globals (joint_st_sequential ? globals (joint_instr_to_acc globals RegisterDPL) l)) in
236      ltl_st_lift globals (joint_st_sequential ? globals (joint_instr_address globals x ?) l)
237*)
238  | ertl_st_int r i l ⇒
239    let 〈hdw, l〉 ≝ write int_fun globals graph r l in
240    let 〈l, graph〉 ≝ l in
241      〈joint_st_sequential ? globals (joint_instr_int globals hdw i) l, graph〉
242  | ertl_st_move r1 r2 l ⇒ move int_fun globals graph (lookup r1) (lookup r2) l
243  | ertl_st_opaccs opaccs destr1 destr2 srcr1 srcr2 l ⇒
244    let 〈hdw, l〉 ≝ write int_fun globals graph destr1 l in
245    let 〈l, graph〉 ≝ l in
246    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals hdw) l) in
247    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_opaccs globals opaccs) l) in
248    let 〈l, graph〉 ≝ read int_fun globals graph srcr1 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
249    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterB) l) in
250    let 〈l, graph〉 ≝ read int_fun globals graph srcr2 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
251    let 〈l, graph〉 ≝ generate globals graph (joint_st_goto ? globals l) in
252    let 〈hdw, l〉 ≝ write int_fun globals graph destr2 l in
253    let 〈l, graph〉 ≝ l in
254    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals hdw) l) in
255    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_to_acc globals RegisterB) l) in
256    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_opaccs globals opaccs) l) in
257    let 〈l, graph〉 ≝ read int_fun globals graph srcr1 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
258    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterB) l) in
259    let 〈l, graph〉 ≝ read int_fun globals graph srcr2 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
260      〈joint_st_goto ? globals l, graph〉
261(*
262  | ertl_st_opaccs_a opaccs destr srcr1 srcr2 l ⇒
263    let 〈hdw, l〉 ≝ write int_fun globals graph destr l in
264    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals hdw) l) in
265    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_opaccs globals opaccs) l) in
266    let 〈l, graph〉 ≝ read int_fun globals graph srcr1 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
267    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterB) l) in
268    let 〈l, graph〉 ≝ read int_fun globals graph srcr2 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
269      joint_st_goto ? globals l
270  | ertl_st_opaccs_b opaccs destr srcr1 srcr2 l ⇒
271    let 〈hdw, l〉 ≝ write int_fun globals graph destr l in
272    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals hdw) l) in
273    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_to_acc globals RegisterB) l) in
274    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_opaccs globals opaccs) l) in
275    let 〈l, graph〉 ≝ read int_fun globals graph srcr1 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
276    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterB) l) in
277    let 〈l, graph〉 ≝ read int_fun globals graph srcr2 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
278      joint_st_goto ? globals l
279*)
280  | ertl_st_op1 op1 destr srcr l ⇒
281    let 〈hdw, l〉 ≝ write int_fun globals graph destr l in
282    let 〈l, graph〉 ≝ l in
283    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals hdw) l) in
284    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_op1 globals op1) l) in
285    let 〈l, graph〉 ≝ read int_fun globals graph srcr (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
286      〈joint_st_goto ? globals l, graph〉
287  | ertl_st_op2 op2 destr srcr1 srcr2 l ⇒
288    let 〈hdw, l〉 ≝ write int_fun globals graph destr l in
289    let 〈l, graph〉 ≝ l in
290    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals hdw) l) in
291    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_op2 globals op2 RegisterB) l) in
292    let 〈l, graph〉 ≝ read int_fun globals graph srcr1 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
293    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterB) l) in
294    let 〈l, graph〉 ≝ read int_fun globals graph srcr2 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
295      〈joint_st_goto ? globals l, graph〉
296  | ertl_st_clear_carry l ⇒ 〈joint_st_sequential ? globals (joint_instr_clear_carry globals) l, graph〉
297  | ertl_st_set_carry l ⇒ 〈joint_st_sequential ? globals (joint_instr_set_carry globals) l, graph〉
298  | ertl_st_load destr addr1 addr2 l ⇒
299    let 〈hdw, l〉 ≝ write int_fun globals graph destr l in
300    let 〈l, graph〉 ≝ l in
301    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals hdw) l) in
302    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_load globals) l) in
303    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterDPH) l) in
304    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_to_acc globals RegisterST0) l) in
305    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterDPL) l) in
306    let 〈l, graph〉 ≝ read int_fun globals graph addr1 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
307    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterST0) l) in
308    let 〈l, graph〉 ≝ read int_fun globals graph addr2 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
309      〈joint_st_goto ? globals l, graph〉
310  | ertl_st_store addr1 addr2 srcr l ⇒
311    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_store globals) l) in
312    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_to_acc globals RegisterST1) l) in
313    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterDPH) l) in
314    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_to_acc globals RegisterST0) l) in
315    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterDPL) l) in
316    let 〈l, graph〉 ≝ read int_fun globals graph addr1 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
317    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterST0) l) in
318    let 〈l, graph〉 ≝ read int_fun globals graph addr2 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
319    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterST1) l) in
320    let 〈l, graph〉 ≝ read int_fun globals graph srcr (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
321      〈joint_st_goto ? globals l, graph〉
322  | ertl_st_call_id f ignore l ⇒ 〈joint_st_sequential ? globals (joint_instr_call_id globals f) l, graph〉
323  | ertl_st_cond srcr lbl_true lbl_false ⇒
324    let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_cond_acc globals lbl_true) lbl_false) in
325    let 〈l, graph〉 ≝ read int_fun globals graph srcr (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in
326      〈joint_st_goto ? globals l, graph〉
327  | ertl_st_return ⇒ 〈joint_st_return ? globals, graph〉
328  ].
329  cases daemon (* XXX: todo -- proofs regarding gvars *)
330qed.
331
332(* **** *)
333
334definition translate_internal ≝
335  λglobals: list ident.
336  λf.
337  λint_fun: ertl_internal_function.
338  let lookup ≝ λr.
339    match lookup r with
340    | colour_spill ->
341        ERTLToLTLI.Spill (Interference.Vertex.Map.find (Interference.lookup H.graph r) S.coloring)
342    | colour_colour color ->
343        ERTLToLTLI.Color color
344  in
345  let locals ≝ colour_locals + (ertl_if_stacksize int_fun) in
346  let stacksize ≝ (ertl_if_params int_fun) + locals in
347    mk_ltl_internal_function
348      globals
349      (ertl_if_luniverse int_fun)
350      (ertl_if_runiverse int_fun)
351      stacksize.
352
353  let () =
354    Label.Map.iter (fun label stmt ->
355      let stmt =
356        match Liveness.eliminable (G.liveafter label) stmt with
357        | Some successor ->
358            LTL.St_skip successor
359        | None ->
360            I.translate_statement stmt
361      in
362      graph := Label.Map.add label stmt !graph
363    ) int_fun.ERTL.f_graph
364  in
365
366definition translate_funct ≝
367  λname_def.
368  let 〈name, def〉 ≝ name_def in
369  let def' ≝
370    match def with
371    [ Internal def ⇒ Internal ? (translate_internal name def)
372    | External def ⇒ External ? def
373    ]
374  in
375    〈name, def'〉.
376
377definition translate ≝
378  λp.
379  let functs' ≝ map ? ? translate_funct (ertl_pr_functs p) in
380    mk_ltl_program (ertl_pr_globals p) functs' (ertl_pr_main p).
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