1 | include "ERTL/ERTL.ma". |
---|
2 | include "LTL/LTL.ma". |
---|
3 | include "ERTL/spill.ma". |
---|
4 | include "ASM/Arithmetic.ma". |
---|
5 | |
---|
6 | (* XXX: change from O'Caml: former contents of ERTLToLTLI.ma *) |
---|
7 | |
---|
8 | inductive decision: Type[0] ≝ |
---|
9 | | decision_spill: Byte → decision |
---|
10 | | decision_colour: Register → decision. |
---|
11 | |
---|
12 | axiom lookup: register → decision. |
---|
13 | |
---|
14 | definition fresh_label ≝ |
---|
15 | λglobals: list ident. |
---|
16 | λluniv. |
---|
17 | fresh LabelTag luniv. |
---|
18 | |
---|
19 | definition add_graph ≝ |
---|
20 | λglobals. |
---|
21 | λlabel. |
---|
22 | λstmt: ltl_statement globals. |
---|
23 | λgraph: ltl_statement_graph globals. |
---|
24 | add LabelTag ? graph label stmt. |
---|
25 | |
---|
26 | definition 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 | |
---|
35 | definition num_locals ≝ |
---|
36 | λglobals. |
---|
37 | λint_fun. |
---|
38 | colour_locals + (ertl_if_stacksize globals int_fun). |
---|
39 | |
---|
40 | definition stacksize ≝ |
---|
41 | λglobals. |
---|
42 | λint_fun. |
---|
43 | colour_locals + (ertl_if_stacksize globals int_fun). |
---|
44 | |
---|
45 | definition 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 | |
---|
53 | definition get_stack: |
---|
54 | ∀globals. ertl_internal_function globals → graph (ltl_statement globals) → Register → Byte → label → |
---|
55 | ltl_statement globals × (graph (ltl_statement globals)) × (universe LabelTag) |
---|
56 | ≝ |
---|
57 | λglobals: list ident. |
---|
58 | λint_fun. |
---|
59 | λgraph: graph (ltl_statement (globals)). |
---|
60 | λr. |
---|
61 | λoff. |
---|
62 | λl. |
---|
63 | let off ≝ adjust_off globals int_fun off in |
---|
64 | let luniv ≝ ertl_if_luniverse globals int_fun in |
---|
65 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc r)) l) in |
---|
66 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_load … globals it it it) l) in |
---|
67 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc RegisterDPH)) l) in |
---|
68 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_op2 … globals Addc it RegisterSPH) l) in |
---|
69 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_int … globals RegisterA (zero ?)) l) in |
---|
70 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc RegisterDPL)) l) in |
---|
71 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_op2 … globals Add it RegisterSPL) l) in |
---|
72 | 〈joint_st_sequential … ltl_params globals (joint_instr_int ? globals RegisterA off) l, graph, luniv〉. |
---|
73 | |
---|
74 | definition set_stack: |
---|
75 | ∀globals. ertl_internal_function globals → ltl_statement_graph globals → Byte |
---|
76 | → Register → label → ((ltl_statement globals) × (ltl_statement_graph globals) × (universe LabelTag)) ≝ |
---|
77 | λglobals: list ident. |
---|
78 | λint_fun. |
---|
79 | λgraph: graph (ltl_statement (globals)). |
---|
80 | λoff. |
---|
81 | λr. |
---|
82 | λl. |
---|
83 | let off ≝ adjust_off globals int_fun off in |
---|
84 | let luniv ≝ ertl_if_luniverse globals int_fun in |
---|
85 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_store ltl_params … globals it it it) l) in |
---|
86 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (to_acc r)) l) in |
---|
87 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc RegisterDPH)) l) in |
---|
88 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_op2 … globals Addc it RegisterSPH) l) in |
---|
89 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_int … globals RegisterA (zero ?)) l) in |
---|
90 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc RegisterDPL)) l) in |
---|
91 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_op2 … globals Add it RegisterSPL) l) in |
---|
92 | 〈joint_st_sequential … ltl_params globals (joint_instr_int ? globals RegisterA off) l, graph, luniv〉. |
---|
93 | |
---|
94 | definition write: |
---|
95 | ∀globals: list ident. ertl_internal_function globals → ltl_statement_graph globals → register → label → |
---|
96 | ? ≝ |
---|
97 | λglobals: list ident. |
---|
98 | λint_fun. |
---|
99 | λgraph. |
---|
100 | λr. |
---|
101 | λl. |
---|
102 | match lookup r with |
---|
103 | [ decision_spill off ⇒ |
---|
104 | let 〈stmt, graph, luniv〉 ≝ set_stack globals int_fun graph off RegisterSST l in |
---|
105 | let 〈l, graph, int_fun〉 ≝ generate globals luniv graph stmt in |
---|
106 | 〈RegisterSST, l, graph, luniv〉 |
---|
107 | | decision_colour hwr ⇒ |
---|
108 | let luniv ≝ ertl_if_luniverse globals int_fun in |
---|
109 | 〈hwr, l, graph, luniv〉 |
---|
110 | ]. |
---|
111 | |
---|
112 | definition read: |
---|
113 | ∀globals: list ident. ertl_internal_function globals → ltl_statement_graph globals → register |
---|
114 | → (Register → ltl_statement globals) → ? ≝ |
---|
115 | λglobals. |
---|
116 | λint_fun. |
---|
117 | λgraph. |
---|
118 | λr. |
---|
119 | λstmt. |
---|
120 | match lookup r with |
---|
121 | [ decision_colour hwr ⇒ generate globals (ertl_if_luniverse globals int_fun) graph (stmt hwr) |
---|
122 | | decision_spill off ⇒ |
---|
123 | let temphwr ≝ RegisterSST in |
---|
124 | let 〈l, graph, luniv〉 ≝ generate globals (ertl_if_luniverse globals int_fun) graph (stmt temphwr) in |
---|
125 | let 〈stmt, graph, luniv〉 ≝ get_stack globals int_fun graph temphwr off l in |
---|
126 | generate globals luniv graph stmt |
---|
127 | ]. |
---|
128 | |
---|
129 | definition move ≝ |
---|
130 | λglobals: list ident. |
---|
131 | λint_fun. |
---|
132 | λgraph: graph (ltl_statement globals). |
---|
133 | λdest: decision. |
---|
134 | λsrc: decision. |
---|
135 | λl: label. |
---|
136 | match dest with |
---|
137 | [ decision_colour dest_hwr ⇒ |
---|
138 | match src with |
---|
139 | [ decision_colour src_hwr ⇒ |
---|
140 | let luniv ≝ ertl_if_luniverse globals int_fun in |
---|
141 | if eq_Register dest_hwr src_hwr then |
---|
142 | 〈joint_st_goto … globals l, graph, luniv〉 |
---|
143 | else |
---|
144 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc dest_hwr)) l) in |
---|
145 | 〈joint_st_sequential … globals (joint_instr_move … ltl_params globals (to_acc src_hwr)) l, graph, luniv〉 |
---|
146 | | decision_spill src_off ⇒ get_stack globals int_fun graph dest_hwr src_off l |
---|
147 | ] |
---|
148 | | decision_spill dest_off ⇒ |
---|
149 | match src with |
---|
150 | [ decision_colour src_hwr ⇒ set_stack globals int_fun graph dest_off src_hwr l |
---|
151 | | decision_spill src_off ⇒ |
---|
152 | let luniv ≝ ertl_if_luniverse globals int_fun in |
---|
153 | if eq_bv ? dest_off src_off then |
---|
154 | 〈joint_st_goto … globals l, graph, luniv〉 |
---|
155 | else |
---|
156 | let temp_hwr ≝ RegisterSST in |
---|
157 | let 〈stmt, graph, luniv〉 ≝ set_stack globals int_fun graph dest_off temp_hwr l in |
---|
158 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph stmt in |
---|
159 | get_stack globals int_fun graph temp_hwr src_off l |
---|
160 | ] |
---|
161 | ]. |
---|
162 | |
---|
163 | definition newframe ≝ |
---|
164 | λglobals: list ident. |
---|
165 | λint_fun: ertl_internal_function globals. |
---|
166 | λgraph: ltl_statement_graph globals. |
---|
167 | λl: label. |
---|
168 | if eq_nat (stacksize globals int_fun) 0 then |
---|
169 | 〈joint_st_goto ltl_params globals l, graph, (ertl_if_luniverse globals int_fun)〉 |
---|
170 | else |
---|
171 | let luniv ≝ ertl_if_luniverse globals int_fun in |
---|
172 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ltl_params globals (joint_instr_move … globals (from_acc RegisterSPH)) l) in |
---|
173 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ltl_params globals (joint_instr_op2 … globals Sub it RegisterDPH) l) in |
---|
174 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ltl_params globals (joint_instr_int … globals RegisterDPH (zero ?)) l) in |
---|
175 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ltl_params globals (joint_instr_move … globals (to_acc RegisterSPH)) l) in |
---|
176 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ltl_params globals (joint_instr_move … globals (from_acc RegisterSPL)) l) in |
---|
177 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ltl_params globals (joint_instr_op2 … globals Sub it RegisterDPL) l) in |
---|
178 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ltl_params globals (joint_instr_clear_carry … globals) l) in |
---|
179 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ltl_params globals (joint_instr_int … globals RegisterDPL (bitvector_of_nat ? (stacksize globals int_fun))) l) in |
---|
180 | 〈joint_st_sequential ltl_params globals (joint_instr_move ltl_params globals (to_acc RegisterSPL)) l, graph, luniv〉. |
---|
181 | |
---|
182 | definition delframe ≝ |
---|
183 | λglobals. |
---|
184 | λint_fun. |
---|
185 | λgraph: graph (ltl_statement globals). |
---|
186 | λl. |
---|
187 | if eq_nat (stacksize globals int_fun) 0 then |
---|
188 | 〈joint_st_goto ltl_params globals l, graph, ertl_if_luniverse globals int_fun〉 |
---|
189 | else |
---|
190 | let luniv ≝ ertl_if_luniverse globals int_fun in |
---|
191 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ltl_params globals (joint_instr_move … globals (from_acc RegisterSPH)) l) in |
---|
192 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ltl_params globals (joint_instr_op2 … globals Addc it RegisterSPH) l) in |
---|
193 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ltl_params globals (joint_instr_int … globals RegisterA (zero ?)) l) in |
---|
194 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ltl_params globals (joint_instr_move … globals (from_acc RegisterSPL)) l) in |
---|
195 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential ltl_params globals (joint_instr_op2 … globals Add it RegisterSPL) l) in |
---|
196 | 〈joint_st_sequential ltl_params globals (joint_instr_int ltl_params globals RegisterA (bitvector_of_nat ? (stacksize globals int_fun))) l, graph, luniv〉. |
---|
197 | |
---|
198 | definition translate_statement ≝ |
---|
199 | λglobals: list ident. |
---|
200 | λint_fun. |
---|
201 | λgraph: ltl_statement_graph globals. |
---|
202 | λstmt: ertl_statement globals. |
---|
203 | match stmt with |
---|
204 | [ joint_st_sequential seq l ⇒ |
---|
205 | let luniv ≝ ertl_if_luniverse globals int_fun in |
---|
206 | match seq with |
---|
207 | [ joint_instr_comment c ⇒ |
---|
208 | 〈joint_st_sequential ltl_params globals (joint_instr_comment … globals c) l, graph, luniv〉 |
---|
209 | | joint_instr_cost_label cost_lbl ⇒ |
---|
210 | 〈joint_st_sequential … globals (joint_instr_cost_label … globals cost_lbl) l, graph, luniv〉 |
---|
211 | | joint_instr_pop r ⇒ |
---|
212 | let 〈hdw, l, graph, luniv〉 ≝ write globals int_fun graph r l in |
---|
213 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc hdw)) l) in |
---|
214 | 〈joint_st_sequential … globals (joint_instr_pop ltl_params globals it) l, graph, luniv〉 |
---|
215 | | joint_instr_push r ⇒ |
---|
216 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_push … globals it) l) in |
---|
217 | let int_fun ≝ set_luniverse globals int_fun luniv in |
---|
218 | let 〈l, graph, luniv〉 ≝ read globals int_fun graph r (λhdw. joint_st_sequential … globals (joint_instr_move … globals (to_acc hdw)) l) in |
---|
219 | 〈joint_st_goto ltl_params globals l, graph, luniv〉 |
---|
220 | | joint_instr_cond srcr lbl_true ⇒ |
---|
221 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_cond … globals it lbl_true) l) in |
---|
222 | let int_fun ≝ set_luniverse globals int_fun luniv in |
---|
223 | let 〈l, graph, luniv〉 ≝ read globals int_fun graph srcr (λhdw. joint_st_sequential … globals (joint_instr_move … globals (to_acc hdw)) l) in |
---|
224 | 〈joint_st_goto ltl_params globals l, graph, luniv〉 |
---|
225 | | joint_instr_call_id f ignore ⇒ 〈joint_st_sequential … globals (joint_instr_call_id … globals f ignore) l, graph, luniv〉 |
---|
226 | | joint_instr_store addr1 addr2 srcr ⇒ |
---|
227 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_store … globals it it it) l) in |
---|
228 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (to_acc RegisterST1)) l) in |
---|
229 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc RegisterDPH)) l) in |
---|
230 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (to_acc RegisterST0)) l) in |
---|
231 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc RegisterDPL)) l) in |
---|
232 | let int_fun ≝ set_luniverse globals int_fun luniv in |
---|
233 | let 〈l, graph, luniv〉 ≝ read globals int_fun graph addr1 (λhdw. joint_st_sequential … globals (joint_instr_move … globals (to_acc hdw)) l) in |
---|
234 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc RegisterST0)) l) in |
---|
235 | let int_fun ≝ set_luniverse globals int_fun luniv in |
---|
236 | let 〈l, graph, luniv〉 ≝ read globals int_fun graph addr2 (λhdw. joint_st_sequential … globals (joint_instr_move … globals (to_acc hdw)) l) in |
---|
237 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc RegisterST1)) l) in |
---|
238 | let 〈l, graph, luniv〉 ≝ read globals int_fun graph srcr (λhdw. joint_st_sequential … globals (joint_instr_move … globals (to_acc hdw)) l) in |
---|
239 | 〈joint_st_goto ltl_params globals l, graph, luniv〉 |
---|
240 | | joint_instr_load destr addr1 addr2 ⇒ |
---|
241 | let 〈hdw, l, graph, luniv〉 ≝ write globals int_fun graph destr l in |
---|
242 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc hdw)) l) in |
---|
243 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_load … globals it it it) l) in |
---|
244 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc RegisterDPH)) l) in |
---|
245 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (to_acc RegisterST0)) l) in |
---|
246 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc RegisterDPL)) l) in |
---|
247 | let int_fun ≝ set_luniverse globals int_fun luniv in |
---|
248 | let 〈l, graph, luniv〉 ≝ read globals int_fun graph addr1 (λhdw. joint_st_sequential … globals (joint_instr_move … globals (to_acc hdw)) l) in |
---|
249 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc RegisterST0)) l) in |
---|
250 | let int_fun ≝ set_luniverse globals int_fun luniv in |
---|
251 | let 〈l, graph, luniv〉 ≝ read globals int_fun graph addr2 (λhdw. joint_st_sequential … globals (joint_instr_move … globals (to_acc hdw)) l) in |
---|
252 | 〈joint_st_goto ltl_params globals l, graph, luniv〉 |
---|
253 | | joint_instr_clear_carry ⇒ 〈joint_st_sequential … globals (joint_instr_clear_carry … globals) l, graph, luniv〉 |
---|
254 | | joint_instr_set_carry ⇒ 〈joint_st_sequential … globals (joint_instr_set_carry … globals) l, graph, luniv〉 |
---|
255 | | joint_instr_op2 op2 destr srcr ⇒ |
---|
256 | let 〈hdw, l, graph, luniv〉 ≝ write globals int_fun graph destr l in |
---|
257 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc hdw)) l) in |
---|
258 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_op2 … globals op2 it RegisterB) l) in |
---|
259 | let luniv ≝ set_luniverse globals int_fun luniv in |
---|
260 | let 〈l, graph, luniv〉 ≝ read globals int_fun graph destr (λhdw. joint_st_sequential … globals (joint_instr_move … globals (to_acc hdw)) l) in |
---|
261 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc RegisterB)) l) in |
---|
262 | let luniv ≝ set_luniverse globals int_fun luniv in |
---|
263 | let 〈l, graph, luniv〉 ≝ read globals int_fun graph srcr (λhdw. joint_st_sequential … globals (joint_instr_move … globals (to_acc hdw)) l) in |
---|
264 | 〈joint_st_goto ltl_params globals l, graph, luniv〉 |
---|
265 | | joint_instr_op1 op1 acc_a ⇒ |
---|
266 | let 〈hdw, l, graph, luniv〉 ≝ write globals int_fun graph acc_a l in |
---|
267 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc hdw)) l) in |
---|
268 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_op1 … globals op1 it) l) in |
---|
269 | let int_fun ≝ set_luniverse globals int_fun luniv in |
---|
270 | let 〈l, graph, luniv〉 ≝ read globals int_fun graph acc_a (λhdw. joint_st_sequential … globals (joint_instr_move … globals (to_acc hdw)) l) in |
---|
271 | 〈joint_st_goto ltl_params globals l, graph, luniv〉 |
---|
272 | | joint_instr_int r i ⇒ |
---|
273 | let 〈hdw, l, graph, luniv〉 ≝ write globals int_fun graph r l in |
---|
274 | 〈joint_st_sequential ltl_params globals (joint_instr_int … globals hdw i) l, graph, luniv〉 |
---|
275 | | joint_instr_opaccs opaccs acc_a_reg acc_b_reg ⇒ |
---|
276 | let 〈hdw, l, graph, luniv〉 ≝ write globals int_fun graph acc_a_reg l in |
---|
277 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc hdw)) l) in |
---|
278 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_opaccs … globals opaccs it it) l) in |
---|
279 | let luniv ≝ set_luniverse globals int_fun luniv in |
---|
280 | let 〈l, graph, luniv〉 ≝ read globals int_fun graph acc_a_reg (λhdw. joint_st_sequential … globals (joint_instr_move … globals (to_acc hdw)) l) in |
---|
281 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc RegisterB)) l) in |
---|
282 | let luniv ≝ set_luniverse globals int_fun luniv in |
---|
283 | let 〈l, graph, luniv〉 ≝ read globals int_fun graph acc_b_reg (λhdw. joint_st_sequential … globals (joint_instr_move … globals (to_acc hdw)) l) in |
---|
284 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_goto … globals l) in |
---|
285 | let luniv ≝ set_luniverse globals int_fun luniv in |
---|
286 | let 〈hdw, l, graph, luniv〉 ≝ write globals int_fun graph acc_b_reg l in |
---|
287 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc hdw)) l) in |
---|
288 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (to_acc RegisterB)) l) in |
---|
289 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_opaccs … globals opaccs it it) l) in |
---|
290 | let luniv ≝ set_luniverse globals int_fun luniv in |
---|
291 | let 〈l, graph, luniv〉 ≝ read globals int_fun graph acc_a_reg (λhdw. joint_st_sequential … globals (joint_instr_move … globals (to_acc hdw)) l) in |
---|
292 | let 〈l, graph, luniv〉 ≝ generate globals luniv graph (joint_st_sequential … globals (joint_instr_move … globals (from_acc RegisterB)) l) in |
---|
293 | let luniv ≝ set_luniverse globals int_fun luniv in |
---|
294 | let 〈l, graph, luniv〉 ≝ read globals int_fun graph acc_b_reg (λhdw. joint_st_sequential … globals (joint_instr_move … globals (to_acc hdw)) l) in |
---|
295 | 〈joint_st_goto ltl_params globals l, graph, luniv〉 |
---|
296 | | _ ⇒ ? |
---|
297 | ] |
---|
298 | | joint_st_return ⇒ 〈joint_st_return … globals, graph, ertl_if_luniverse globals int_fun〉 |
---|
299 | | joint_st_goto l ⇒ 〈joint_st_goto … globals l, graph, ertl_if_luniverse globals int_fun〉 |
---|
300 | | joint_st_extension ext ⇒ |
---|
301 | match ext with |
---|
302 | [ ertl_st_ext_new_frame l ⇒ newframe globals int_fun graph l |
---|
303 | | ertl_st_ext_del_frame l ⇒ delframe globals int_fun graph l |
---|
304 | | ertl_st_ext_frame_size r l ⇒ |
---|
305 | let 〈hdw, l, graph, luniv〉 ≝ write globals int_fun graph r l in |
---|
306 | 〈joint_st_sequential … globals (joint_instr_int ltl_params globals hdw (bitvector_of_nat ? (stacksize globals int_fun))) l, graph, luniv〉 |
---|
307 | ] |
---|
308 | ]. |
---|
309 | |
---|
310 | match stmt with |
---|
311 | | ertl_st_get_hdw destr sourcehwr l ⇒ move int_fun globals graph (lookup destr) (decision_colour sourcehwr) l |
---|
312 | | ertl_st_set_hdw desthwr srcr l ⇒ move int_fun globals graph (decision_colour desthwr) (lookup srcr) l |
---|
313 | | ertl_st_hdw_to_hdw r1 r2 l ⇒ |
---|
314 | let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals r1) l) in |
---|
315 | 〈joint_st_sequential ? globals (joint_instr_to_acc globals r2) l, graph〉 |
---|
316 | | ertl_st_addr rl rh x l ⇒ |
---|
317 | let 〈hdw1, l〉 ≝ write int_fun globals graph rh l in |
---|
318 | let 〈l, graph〉 ≝ l in |
---|
319 | let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals hdw1) l) in |
---|
320 | let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_to_acc globals RegisterDPH) l) in |
---|
321 | let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_address globals x ?) l) in |
---|
322 | let 〈hdw2, l〉 ≝ write int_fun globals graph rl l in |
---|
323 | let 〈l, graph〉 ≝ l in |
---|
324 | let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals hdw2) l) in |
---|
325 | let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_to_acc globals RegisterDPL) l) in |
---|
326 | 〈joint_st_sequential ? globals (joint_instr_address globals x ?) l, graph〉 |
---|
327 | (* | ertl_st_addr_h r x l ⇒ |
---|
328 | let 〈hdw, l〉 ≝ write int_fun globals graph r l in |
---|
329 | let 〈l, graph〉 ≝ generate globals graph (ltl_st_lift globals (joint_st_sequential ? globals (joint_instr_from_acc globals hdw) l)) in |
---|
330 | let 〈l, graph〉 ≝ generate globals graph (ltl_st_lift globals (joint_st_sequential ? globals (joint_instr_to_acc globals RegisterDPH) l)) in |
---|
331 | ltl_st_lift globals (joint_st_sequential ? globals (joint_instr_address globals x ?) l) |
---|
332 | | ertl_st_addr_l r x l ⇒ |
---|
333 | let 〈hdw, l〉 ≝ write int_fun globals graph r l in |
---|
334 | let 〈l, graph〉 ≝ generate globals graph (ltl_st_lift globals (joint_st_sequential ? globals (joint_instr_from_acc globals hdw) l)) in |
---|
335 | let 〈l, graph〉 ≝ generate globals graph (ltl_st_lift globals (joint_st_sequential ? globals (joint_instr_to_acc globals RegisterDPL) l)) in |
---|
336 | ltl_st_lift globals (joint_st_sequential ? globals (joint_instr_address globals x ?) l) |
---|
337 | *) |
---|
338 | | ertl_st_move r1 r2 l ⇒ move int_fun globals graph (lookup r1) (lookup r2) l |
---|
339 | (* |
---|
340 | | ertl_st_opaccs_a opaccs destr srcr1 srcr2 l ⇒ |
---|
341 | let 〈hdw, l〉 ≝ write int_fun globals graph destr l in |
---|
342 | let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals hdw) l) in |
---|
343 | let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_opaccs globals opaccs) l) in |
---|
344 | let 〈l, graph〉 ≝ read int_fun globals graph srcr1 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in |
---|
345 | let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterB) l) in |
---|
346 | let 〈l, graph〉 ≝ read int_fun globals graph srcr2 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in |
---|
347 | joint_st_goto ? globals l |
---|
348 | | ertl_st_opaccs_b opaccs destr srcr1 srcr2 l ⇒ |
---|
349 | let 〈hdw, l〉 ≝ write int_fun globals graph destr l in |
---|
350 | let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals hdw) l) in |
---|
351 | let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_to_acc globals RegisterB) l) in |
---|
352 | let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_opaccs globals opaccs) l) in |
---|
353 | let 〈l, graph〉 ≝ read int_fun globals graph srcr1 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in |
---|
354 | let 〈l, graph〉 ≝ generate globals graph (joint_st_sequential ? globals (joint_instr_from_acc globals RegisterB) l) in |
---|
355 | let 〈l, graph〉 ≝ read int_fun globals graph srcr2 (λhdw. joint_st_sequential ? globals (joint_instr_to_acc globals hdw) l) in |
---|
356 | joint_st_goto ? globals l |
---|
357 | *) |
---|
358 | ]. |
---|
359 | cases daemon (* XXX: todo -- proofs regarding gvars *) |
---|
360 | qed. |
---|
361 | |
---|
362 | (* **** *) |
---|
363 | |
---|
364 | definition translate_internal ≝ |
---|
365 | λglobals: list ident. |
---|
366 | λf. |
---|
367 | λint_fun: ertl_internal_function. |
---|
368 | let lookup ≝ λr. |
---|
369 | match lookup r with |
---|
370 | | colour_spill -> |
---|
371 | ERTLToLTLI.Spill (Interference.Vertex.Map.find (Interference.lookup H.graph r) S.coloring) |
---|
372 | | colour_colour color -> |
---|
373 | ERTLToLTLI.Color color |
---|
374 | in |
---|
375 | let locals ≝ colour_locals + (ertl_if_stacksize int_fun) in |
---|
376 | let stacksize ≝ (ertl_if_params int_fun) + locals in |
---|
377 | mk_ltl_internal_function |
---|
378 | globals |
---|
379 | (ertl_if_luniverse int_fun) |
---|
380 | (ertl_if_runiverse int_fun) |
---|
381 | stacksize. |
---|
382 | |
---|
383 | let () = |
---|
384 | Label.Map.iter (fun label stmt -> |
---|
385 | let stmt = |
---|
386 | match Liveness.eliminable (G.liveafter label) stmt with |
---|
387 | | Some successor -> |
---|
388 | LTL.St_skip successor |
---|
389 | | None -> |
---|
390 | I.translate_statement stmt |
---|
391 | in |
---|
392 | graph := Label.Map.add label stmt !graph |
---|
393 | ) int_fun.ERTL.f_graph |
---|
394 | in |
---|
395 | |
---|
396 | definition translate_funct ≝ |
---|
397 | λname_def. |
---|
398 | let 〈name, def〉 ≝ name_def in |
---|
399 | let def' ≝ |
---|
400 | match def with |
---|
401 | [ Internal def ⇒ Internal ? (translate_internal name def) |
---|
402 | | External def ⇒ External ? def |
---|
403 | ] |
---|
404 | in |
---|
405 | 〈name, def'〉. |
---|
406 | |
---|
407 | definition translate ≝ |
---|
408 | λp. |
---|
409 | let functs' ≝ map ? ? translate_funct (ertl_pr_functs p) in |
---|
410 | mk_ltl_program (ertl_pr_globals p) functs' (ertl_pr_main p). |
---|