1 | |
---|
2 | (* XXX NB: I haven't checked all of these semantics against the prototype |
---|
3 | compilers yet! *) |
---|
4 | |
---|
5 | include "utilities/lists.ma". |
---|
6 | |
---|
7 | include "common/Errors.ma". |
---|
8 | include "common/Globalenvs.ma". |
---|
9 | include "common/IO.ma". |
---|
10 | include "common/SmallstepExec.ma". |
---|
11 | |
---|
12 | include "RTL/RTL.ma". (* CSC: syntax.ma in RTLabs *) |
---|
13 | |
---|
14 | (* CSC: external functions never fail (??) and always return something of the |
---|
15 | size of one register, both in the frontend and in the backend. |
---|
16 | Is this reasonable??? In OCaml it always return a list, but in the frontend |
---|
17 | only the head is kept (or Undef if the list is empty) ??? *) |
---|
18 | |
---|
19 | (* CSC: carries are values and booleans are not values; so we use integers. |
---|
20 | But why using values at all? To have undef? *) |
---|
21 | (* CSC: ???????????? *) |
---|
22 | axiom smerge: val → val → res val. |
---|
23 | (* CSC: ???????????? In OCaml: IntValue.Int32.merge |
---|
24 | Note also that the translation can fail; so it should be a res int! *) |
---|
25 | axiom smerge2: list val → int. |
---|
26 | (* CSC: I have a byte, I need a value, but it is complex to do so *) |
---|
27 | axiom val_of_Byte: Byte → val. |
---|
28 | axiom Byte_of_val: val → res Byte. |
---|
29 | (* Map from the front-end memory model to the back-end memory model *) |
---|
30 | axiom represent_block: block → val × val. |
---|
31 | (* CSC: fixed size chunk *) |
---|
32 | axiom chunk: memory_chunk. |
---|
33 | |
---|
34 | definition genv ≝ (genv_t Genv) (fundef rtl_internal_function). |
---|
35 | |
---|
36 | (* CSC: added carry *) |
---|
37 | record frame : Type[0] ≝ |
---|
38 | { func : rtl_internal_function |
---|
39 | ; locals : register_env val |
---|
40 | ; next : label |
---|
41 | ; sp : block |
---|
42 | ; retdst : list register |
---|
43 | ; carry : val |
---|
44 | }. |
---|
45 | |
---|
46 | (* CSC: added carry *) |
---|
47 | definition adv : label → frame → frame ≝ |
---|
48 | λl,f. mk_frame (func f) (locals f) l (sp f) (retdst f) (carry f). |
---|
49 | |
---|
50 | inductive state : Type[0] ≝ |
---|
51 | | State : |
---|
52 | ∀ f : frame. |
---|
53 | ∀ fs : list frame. |
---|
54 | ∀ m : mem. |
---|
55 | state |
---|
56 | | Callstate : |
---|
57 | ∀ fd : fundef rtl_internal_function. |
---|
58 | ∀args : list val. |
---|
59 | ∀ dst : list register. (* CSC: changed from option to list *) |
---|
60 | ∀ stk : list frame. |
---|
61 | ∀ m : mem. |
---|
62 | state |
---|
63 | | Returnstate : |
---|
64 | (* CSC: the two lists should have the same length, but this is |
---|
65 | enforced only by the semantics *) |
---|
66 | ∀ rtv : list val. (* CSC: changed from option to list *) |
---|
67 | ∀ dst : list register. (* CSC: changed from option to list *) |
---|
68 | ∀ stk : list frame. |
---|
69 | ∀ m : mem. |
---|
70 | state. |
---|
71 | |
---|
72 | definition mem_of_state : state → mem ≝ |
---|
73 | λs. match s with [ State _ _ m ⇒ m | Callstate _ _ _ _ m ⇒ m | Returnstate _ _ _ m ⇒ m ]. |
---|
74 | |
---|
75 | definition build_state ≝ λf.λfs.λm.λn. State (adv n f) fs m. |
---|
76 | |
---|
77 | (* CSC: modified to take in input a list of registers (untyped) *) |
---|
78 | definition init_locals : list register → register_env val ≝ |
---|
79 | foldr ?? (λid,en. add RegisterTag val en id Vundef) (empty_map ??). |
---|
80 | |
---|
81 | definition reg_store ≝ |
---|
82 | λreg,v,locals. |
---|
83 | update RegisterTag val locals reg v. |
---|
84 | |
---|
85 | axiom WrongNumberOfParameters : String. |
---|
86 | |
---|
87 | (* CSC: modified to take in input a list of registers (untyped) *) |
---|
88 | let rec params_store (rs:list register) (vs:list val) (locals : register_env val) : res (register_env val) ≝ |
---|
89 | match rs with |
---|
90 | [ nil ⇒ match vs with [ nil ⇒ OK ? locals | _ ⇒ Error ? (msg WrongNumberOfParameters)] |
---|
91 | | cons r rst ⇒ match vs with [ nil ⇒ Error ? (msg WrongNumberOfParameters) | cons v vst ⇒ |
---|
92 | let locals' ≝ add RegisterTag val locals r v in |
---|
93 | params_store rst vst locals' |
---|
94 | ] ]. |
---|
95 | |
---|
96 | axiom BadRegister : String. |
---|
97 | |
---|
98 | definition reg_retrieve : register_env ? → register → res val ≝ |
---|
99 | λlocals,reg. opt_to_res … [MSG BadRegister; CTX ? reg] (lookup ?? locals reg). |
---|
100 | |
---|
101 | axiom FailedOp : String. |
---|
102 | axiom MissingSymbol : String. |
---|
103 | |
---|
104 | axiom MissingStatement : String. |
---|
105 | axiom FailedConstant : String. |
---|
106 | axiom FailedLoad : String. |
---|
107 | axiom FailedStore : String. |
---|
108 | axiom BadFunction : String. |
---|
109 | axiom BadJumpTable : String. |
---|
110 | axiom BadJumpValue : String. |
---|
111 | axiom FinalState : String. |
---|
112 | axiom ReturnMismatch : String. |
---|
113 | |
---|
114 | definition eval_statement : genv → state → IO io_out io_in (trace × state) ≝ |
---|
115 | λge,st. |
---|
116 | match st with |
---|
117 | [ State f fs m ⇒ |
---|
118 | ! s ← opt_to_io … [MSG MissingStatement; CTX ? (next f)] (lookup ?? (rtl_if_graph (func f)) (next f)); |
---|
119 | match s with |
---|
120 | [ rtl_st_skip l ⇒ ret ? 〈E0, build_state f fs m l〉 |
---|
121 | | rtl_st_cost cl l ⇒ ret ? 〈Echarge cl, build_state f fs m l〉 |
---|
122 | | rtl_st_load addrl addrh dst l ⇒ (* CSC: pairs of regs vs reg *) |
---|
123 | ! vaddrh ← reg_retrieve (locals f) addrh; |
---|
124 | ! vaddrl ← reg_retrieve (locals f) addrl; |
---|
125 | ! vaddr ← smerge vaddrl vaddrh; |
---|
126 | ! v ← opt_to_res … (msg FailedLoad) (loadv chunk m vaddr); |
---|
127 | ! locals ← reg_store dst v (locals f); |
---|
128 | ret ? 〈E0, State (mk_frame (func f) locals l (sp f) (retdst f) (carry f)) fs m〉 |
---|
129 | | rtl_st_store addrl addrh src l ⇒ (* CSC: pairs of regs vs reg *) |
---|
130 | ! vaddrh ← reg_retrieve (locals f) addrh; |
---|
131 | ! vaddrl ← reg_retrieve (locals f) addrl; |
---|
132 | ! vaddr ← smerge vaddrl vaddrh; |
---|
133 | ! v ← reg_retrieve (locals f) src; |
---|
134 | ! m' ← opt_to_res … (msg FailedStore) (storev chunk m vaddr v); |
---|
135 | ret ? 〈E0, build_state f fs m' l〉 |
---|
136 | | rtl_st_call_id id args dst l ⇒ |
---|
137 | ! b ← opt_to_res … [MSG MissingSymbol; CTX ? id] (find_symbol ?? ge id); |
---|
138 | ! fd ← opt_to_res … [MSG BadFunction; CTX ? id] (find_funct_ptr ?? ge b); |
---|
139 | ! vs ← mmap ?? (reg_retrieve (locals f)) args; |
---|
140 | ret ? 〈E0, Callstate fd vs dst (adv l f::fs) m〉 |
---|
141 | | rtl_st_call_ptr lfrs hfrs args dst l ⇒ (* CSC: pairs of regs vs reg *) |
---|
142 | ! hfv ← reg_retrieve (locals f) hfrs; |
---|
143 | ! lfv ← reg_retrieve (locals f) lfrs; |
---|
144 | ! fv ← smerge lfv hfv; |
---|
145 | ! fd ← opt_to_res … (msg BadFunction) (find_funct ?? ge fv); |
---|
146 | ! vs ← mmap ?? (reg_retrieve (locals f)) args; |
---|
147 | ret ? 〈E0, Callstate fd vs dst (adv l f::fs) m〉 |
---|
148 | | rtl_st_tailcall_id id args ⇒ |
---|
149 | ! b ← opt_to_res … [MSG MissingSymbol; CTX ? id] (find_symbol ?? ge id); |
---|
150 | ! fd ← opt_to_res … [MSG BadFunction; CTX ? id] (find_funct_ptr ?? ge b); |
---|
151 | ! vs ← mmap ?? (reg_retrieve (locals f)) args; |
---|
152 | ret ? 〈E0, Callstate fd vs (retdst f) fs (free m (sp f))〉 |
---|
153 | | rtl_st_tailcall_ptr lfrs hfrs args ⇒ (* CSC: pairs of regs vs reg *) |
---|
154 | ! hfv ← reg_retrieve (locals f) hfrs; |
---|
155 | ! lfv ← reg_retrieve (locals f) lfrs; |
---|
156 | ! fv ← smerge lfv hfv; |
---|
157 | ! fd ← opt_to_res … (msg BadFunction) (find_funct ?? ge fv); |
---|
158 | ! vs ← mmap ?? (reg_retrieve (locals f)) args; |
---|
159 | ret ? 〈E0, Callstate fd vs (retdst f) fs (free m (sp f))〉 |
---|
160 | | rtl_st_return ⇒ |
---|
161 | (* CSC: rtl_if_result/f_result; list vs option *) |
---|
162 | let dest ≝ rtl_if_result (func f) in |
---|
163 | ! v ← mmap … (reg_retrieve (locals f)) dest; |
---|
164 | ret ? 〈E0, Returnstate v (retdst f) fs (free m (sp f))〉 |
---|
165 | | rtl_st_cond src ltrue lfalse ⇒ |
---|
166 | ! v ← reg_retrieve (locals f) src; |
---|
167 | ! b ← eval_bool_of_val v; |
---|
168 | ret ? 〈E0, build_state f fs m (if b then ltrue else lfalse)〉 |
---|
169 | (* CSC: mismatch between the memory models and failures for the next two opx *) |
---|
170 | | rtl_st_op1 op dst src l ⇒ |
---|
171 | ! v ← reg_retrieve (locals f) src; |
---|
172 | ! v ← Byte_of_val v; |
---|
173 | let v' ≝ val_of_Byte (op1 eval op v) in |
---|
174 | ! locals ← reg_store dst v' (locals f); |
---|
175 | ret ? 〈E0, State (mk_frame (func f) locals l (sp f) (retdst f) (carry f)) fs m〉 |
---|
176 | | rtl_st_op2 op dst src1 src2 l ⇒ |
---|
177 | ! v1 ← reg_retrieve (locals f) src1; |
---|
178 | ! v1 ← Byte_of_val v1; |
---|
179 | ! v2 ← reg_retrieve (locals f) src2; |
---|
180 | ! v2 ← Byte_of_val v2; |
---|
181 | ! carry ← eval_bool_of_val (carry f); |
---|
182 | let 〈v',carry〉 ≝ op2 eval carry op v1 v2 in |
---|
183 | let v' ≝ val_of_Byte v' in |
---|
184 | let carry ≝ of_bool carry in |
---|
185 | ! locals ← reg_store dst v' (locals f); |
---|
186 | ret ? 〈E0, State (mk_frame (func f) locals l (sp f) (retdst f) carry) fs m〉 |
---|
187 | |
---|
188 | (* CSC: Removed: St_jumptable *) |
---|
189 | (* CSC: Added: *) |
---|
190 | |
---|
191 | (* CSC: St_const splitted into rtl_st_int, rtl_st_addr and rt_st_stack_addr; *) |
---|
192 | | rtl_st_addr ldest hdest id l ⇒ |
---|
193 | ! addr ← opt_to_res … [MSG MissingSymbol; CTX … id] (find_symbol ?? ge id); |
---|
194 | let 〈laddr,haddr〉 ≝ represent_block addr in |
---|
195 | ! locals ← reg_store ldest laddr (locals f); |
---|
196 | ! locals ← reg_store hdest haddr locals; |
---|
197 | ret ? 〈E0, State (mk_frame (func f) locals l (sp f) (retdst f) (carry f)) fs m〉 |
---|
198 | | rtl_st_stack_addr ldest hdest l ⇒ |
---|
199 | let 〈laddr,haddr〉 ≝ represent_block (sp f) in |
---|
200 | ! locals ← reg_store ldest laddr (locals f); |
---|
201 | ! locals ← reg_store hdest haddr locals; |
---|
202 | ret ? 〈E0, State (mk_frame (func f) locals l (sp f) (retdst f) (carry f)) fs m〉 |
---|
203 | | rtl_st_int dest v l ⇒ |
---|
204 | ! locals ← reg_store dest (val_of_Byte v) (locals f); |
---|
205 | ret ? 〈E0, State (mk_frame (func f) locals l (sp f) (retdst f) (carry f)) fs m〉 |
---|
206 | |
---|
207 | (* CSC: St_op1 splitted into rtl_st_op1 and rtl_st_move *) |
---|
208 | | rtl_st_move dst src l ⇒ |
---|
209 | ! v ← reg_retrieve (locals f) src; |
---|
210 | ! locals ← reg_store dst v (locals f); |
---|
211 | ret ? 〈E0, State (mk_frame (func f) locals l (sp f) (retdst f) (carry f)) fs m〉 |
---|
212 | (* CSC: St_op2 splitted into rtl_st_op2 and rtl_st_opaccs *) |
---|
213 | | rtl_st_opaccs op dacc dbacc sacc sbacc l ⇒ |
---|
214 | ! v1 ← reg_retrieve (locals f) sacc; |
---|
215 | ! v1 ← Byte_of_val v1; |
---|
216 | ! v2 ← reg_retrieve (locals f) sbacc; |
---|
217 | ! v2 ← Byte_of_val v2; |
---|
218 | let 〈v1',v2'〉 ≝ opaccs eval op v1 v2 in |
---|
219 | let v1' ≝ val_of_Byte v1' in |
---|
220 | let v2' ≝ val_of_Byte v2' in |
---|
221 | ! locals ← reg_store dacc v1' (locals f); |
---|
222 | ! locals ← reg_store dbacc v2' locals; |
---|
223 | ret ? 〈E0, State (mk_frame (func f) locals l (sp f) (retdst f) (carry f)) fs m〉 |
---|
224 | |
---|
225 | | rtl_st_clear_carry l ⇒ |
---|
226 | ret ? 〈E0, State (mk_frame (func f) (locals f) l (sp f) (retdst f) Vfalse) fs m〉 |
---|
227 | | rtl_st_set_carry l ⇒ |
---|
228 | ret ? 〈E0, State (mk_frame (func f) (locals f) l (sp f) (retdst f) Vtrue) fs m〉 |
---|
229 | ] |
---|
230 | | Callstate fd params dst fs m ⇒ |
---|
231 | match fd with |
---|
232 | [ Internal fn ⇒ |
---|
233 | ! locals ← params_store (rtl_if_params fn) params (init_locals (rtl_if_locals fn)); |
---|
234 | let 〈m', sp〉 ≝ alloc m 0 (rtl_if_stacksize fn) Any in |
---|
235 | (* CSC: added carry *) |
---|
236 | ret ? 〈E0, State (mk_frame fn locals (rtl_if_entry fn) sp dst Vundef) fs m'〉 |
---|
237 | | External fn ⇒ |
---|
238 | ! evargs ← check_eventval_list params (sig_args (ef_sig fn)); |
---|
239 | ! evres ← do_io (ef_id fn) evargs (proj_sig_res (ef_sig fn)); |
---|
240 | (* CSC: return type changed from option to list *) |
---|
241 | ret ? 〈Eextcall (ef_id fn) evargs (mk_eventval ? evres), Returnstate [mk_val ? evres] dst fs m〉 |
---|
242 | ] |
---|
243 | | Returnstate v dst fs m ⇒ |
---|
244 | match fs with |
---|
245 | [ nil ⇒ Error ? (msg FinalState) (* Already in final state *) |
---|
246 | | cons f fs' ⇒ |
---|
247 | ! locals ← |
---|
248 | mfold_left2 ??? |
---|
249 | (λlocals,dst,v. reg_store dst v locals) (OK ? (locals f)) dst v; |
---|
250 | ret ? 〈E0, State (mk_frame (func f) locals (next f) (sp f) (retdst f) (carry f)) fs' m〉 |
---|
251 | ] |
---|
252 | ]. |
---|
253 | |
---|
254 | axiom WrongReturnValueType: String. |
---|
255 | |
---|
256 | definition is_final : state → option ((*CSC: why not res*) int) ≝ |
---|
257 | λs. match s with |
---|
258 | [ State _ _ _ ⇒ None ? |
---|
259 | | Callstate _ _ _ _ _ ⇒ None ? |
---|
260 | | Returnstate v _ fs _ ⇒ |
---|
261 | match fs with |
---|
262 | [ nil ⇒ Some ? (smerge2 v) |
---|
263 | | _ ⇒ None ? ]]. |
---|
264 | |
---|
265 | definition RTL_exec : execstep io_out io_in ≝ |
---|
266 | mk_execstep … ? is_final mem_of_state eval_statement. |
---|
267 | |
---|
268 | (* CSC: XXX the program type does not fit with the globalenv and init_mem |
---|
269 | definition make_initial_state : rtl_program → res (genv × state) ≝ |
---|
270 | λp. |
---|
271 | do ge ← globalenv Genv ?? p; |
---|
272 | do m ← init_mem Genv ?? p; |
---|
273 | let main ≝ rtl_pr_main ?? p in |
---|
274 | do b ← opt_to_res ? [MSG MissingSymbol; CTX ? main] (find_symbol ? ? ge main); |
---|
275 | do f ← opt_to_res ? [MSG BadFunction; CTX ? main] (find_funct_ptr ? ? ge b); |
---|
276 | OK ? 〈ge,Callstate f (nil ?) [ ] (nil ?) m〉. |
---|
277 | |
---|
278 | definition RTL_fullexec : fullexec io_out io_in ≝ |
---|
279 | mk_fullexec … RTL_exec ? make_initial_state. |
---|
280 | *) |
---|