1 | include "arithmetics/nat.ma". |
---|
2 | include "basics/jmeq.ma". |
---|
3 | |
---|
4 | include "ASM/String.ma". |
---|
5 | include "ASM/ASM.ma". |
---|
6 | include "ASM/Arithmetic.ma". |
---|
7 | |
---|
8 | definition int_size ≝ bitvector_of_nat 8 1. |
---|
9 | definition ptr_size ≝ bitvector_of_nat 8 2. |
---|
10 | definition alignment ≝ None. |
---|
11 | |
---|
12 | (* dpm: Can these two inductive definitions be merged? In LIN, yes, but perhaps |
---|
13 | not further back in the translation chain. *) |
---|
14 | inductive OpAccs: Type[0] ≝ |
---|
15 | Mul: OpAccs |
---|
16 | | DivuModu: OpAccs. |
---|
17 | |
---|
18 | inductive Op1: Type[0] ≝ |
---|
19 | Cmpl: Op1 |
---|
20 | | Inc: Op1 |
---|
21 | | Rl: Op1. (* TODO: implement left rotation *) |
---|
22 | |
---|
23 | inductive Op2: Type[0] ≝ |
---|
24 | Add: Op2 |
---|
25 | | Addc: Op2 |
---|
26 | | Sub: Op2 |
---|
27 | | And: Op2 |
---|
28 | | Or: Op2 |
---|
29 | | Xor: Op2. |
---|
30 | |
---|
31 | (* dpm: maybe useless? *) |
---|
32 | inductive Register: Type[0] ≝ |
---|
33 | Register00: Register |
---|
34 | | Register01: Register |
---|
35 | | Register02: Register |
---|
36 | | Register03: Register |
---|
37 | | Register04: Register |
---|
38 | | Register05: Register |
---|
39 | | Register06: Register |
---|
40 | | Register07: Register |
---|
41 | | Register10: Register |
---|
42 | | Register11: Register |
---|
43 | | Register12: Register |
---|
44 | | Register13: Register |
---|
45 | | Register14: Register |
---|
46 | | Register15: Register |
---|
47 | | Register16: Register |
---|
48 | | Register17: Register |
---|
49 | | Register20: Register |
---|
50 | | Register21: Register |
---|
51 | | Register22: Register |
---|
52 | | Register23: Register |
---|
53 | | Register24: Register |
---|
54 | | Register25: Register |
---|
55 | | Register26: Register |
---|
56 | | Register27: Register |
---|
57 | | Register30: Register |
---|
58 | | Register31: Register |
---|
59 | | Register32: Register |
---|
60 | | Register33: Register |
---|
61 | | Register34: Register |
---|
62 | | Register35: Register |
---|
63 | | Register36: Register |
---|
64 | | Register37: Register |
---|
65 | | RegisterA: Register |
---|
66 | | RegisterB: Register |
---|
67 | | RegisterDPL: Register |
---|
68 | | RegisterDPH: Register |
---|
69 | | RegisterCarry: Register. |
---|
70 | |
---|
71 | definition nat_of_register: Register → nat ≝ |
---|
72 | λr: Register. |
---|
73 | match r with |
---|
74 | [ Register00 ⇒ 0 |
---|
75 | | Register01 ⇒ 1 |
---|
76 | | Register02 ⇒ 2 |
---|
77 | | Register03 ⇒ 3 |
---|
78 | | Register04 ⇒ 4 |
---|
79 | | Register05 ⇒ 5 |
---|
80 | | Register06 ⇒ 6 |
---|
81 | | Register07 ⇒ 7 |
---|
82 | | Register10 ⇒ 8 |
---|
83 | | Register11 ⇒ 9 |
---|
84 | | Register12 ⇒ 10 |
---|
85 | | Register13 ⇒ 11 |
---|
86 | | Register14 ⇒ 12 |
---|
87 | | Register15 ⇒ 13 |
---|
88 | | Register16 ⇒ 14 |
---|
89 | | Register17 ⇒ 15 |
---|
90 | | Register20 ⇒ 16 |
---|
91 | | Register21 ⇒ 17 |
---|
92 | | Register22 ⇒ 18 |
---|
93 | | Register23 ⇒ 19 |
---|
94 | | Register24 ⇒ 20 |
---|
95 | | Register25 ⇒ 21 |
---|
96 | | Register26 ⇒ 22 |
---|
97 | | Register27 ⇒ 23 |
---|
98 | | Register30 ⇒ 24 |
---|
99 | | Register31 ⇒ 25 |
---|
100 | | Register32 ⇒ 26 |
---|
101 | | Register33 ⇒ 27 |
---|
102 | | Register34 ⇒ 28 |
---|
103 | | Register35 ⇒ 29 |
---|
104 | | Register36 ⇒ 30 |
---|
105 | | Register37 ⇒ 31 |
---|
106 | | RegisterA ⇒ 32 |
---|
107 | | RegisterB ⇒ 33 |
---|
108 | | RegisterDPL ⇒ 34 |
---|
109 | | RegisterDPH ⇒ 35 |
---|
110 | | RegisterCarry ⇒ 36 (* was -1, increment as needed *) |
---|
111 | ]. |
---|
112 | |
---|
113 | definition physical_register_count ≝ 36. |
---|
114 | |
---|
115 | definition bitvector_of_register: Register → BitVector 6 ≝ |
---|
116 | λregister. |
---|
117 | bitvector_of_nat ? (nat_of_register register). |
---|
118 | |
---|
119 | definition eq_Register: Register → Register → bool ≝ |
---|
120 | λr, s: Register. |
---|
121 | let r_as_nat ≝ nat_of_register r in |
---|
122 | let s_as_nat ≝ nat_of_register s in |
---|
123 | eqb r_as_nat s_as_nat. |
---|
124 | |
---|
125 | axiom print_register: Register → String. |
---|
126 | |
---|
127 | (* dpm: registers for stack manipulation *) |
---|
128 | definition RegisterSST ≝ Register10. |
---|
129 | definition RegisterST0 ≝ Register02. |
---|
130 | definition RegisterST1 ≝ Register03. |
---|
131 | definition RegisterST2 ≝ Register04. |
---|
132 | definition RegisterST3 ≝ Register05. |
---|
133 | definition RegisterSTS ≝ [RegisterST0; RegisterST1; RegisterST2; RegisterST3]. |
---|
134 | definition RegisterSPL ≝ Register06. |
---|
135 | definition RegisterSPH ≝ Register07. |
---|
136 | definition RegisterParams: list Register ≝ |
---|
137 | [ Register30; Register31; Register32; Register33; |
---|
138 | Register34; Register35; Register36; Register37 ]. |
---|
139 | definition Registers ≝ |
---|
140 | [Register00; Register01; Register02; Register03; Register04; |
---|
141 | Register05; Register06; Register07; Register10; Register11; |
---|
142 | Register12; Register13; Register14; Register15; Register16; |
---|
143 | Register17; Register20; Register21; Register22; Register23; |
---|
144 | Register24; Register25; Register26; Register27; Register30; |
---|
145 | Register31; Register32; Register33; Register34; Register35; |
---|
146 | Register36; Register37; RegisterA; RegisterB; RegisterDPL; |
---|
147 | RegisterDPH; RegisterSPL; RegisterSPH; RegisterST0; RegisterST1; |
---|
148 | RegisterSST]. |
---|
149 | definition RegisterRets ≝ [RegisterDPL; RegisterDPH; Register00; Register01]. |
---|
150 | definition RegisterCallerSaved ≝ |
---|
151 | [Register00; Register01; Register02; Register03; Register04; |
---|
152 | Register05; Register06; Register07; Register10; Register11; |
---|
153 | Register12; Register13; Register14; Register15; Register16; |
---|
154 | Register17; Register30; Register31; Register32; Register33; |
---|
155 | Register34; Register35; Register36; Register37]. |
---|
156 | definition RegisterCalleeSaved ≝ |
---|
157 | [Register20; Register21; Register22; Register23; Register24; |
---|
158 | Register25; Register26; Register27]. |
---|
159 | definition RegistersForbidden ≝ |
---|
160 | [RegisterA; RegisterB; RegisterDPL; RegisterDPH; |
---|
161 | RegisterSPL; RegisterSPH; RegisterST0; RegisterST1; |
---|
162 | RegisterST2; RegisterST3; RegisterSST]. |
---|
163 | (* registers minus forbidden *) |
---|
164 | definition RegistersAllocatable ≝ |
---|
165 | [Register00; Register01; Register02; Register03; Register04; |
---|
166 | Register05; Register06; Register07; Register10; Register11; |
---|
167 | Register12; Register13; Register14; Register15; Register16; |
---|
168 | Register17; Register20; Register21; Register22; Register23; |
---|
169 | Register24; Register25; Register26; Register27; Register30; |
---|
170 | Register31; Register32; Register33; Register34; Register35; |
---|
171 | Register36; Register37]. |
---|
172 | |
---|
173 | definition register_address: Register → [[ acc_a; direct; registr ]] ≝ |
---|
174 | λr: Register. |
---|
175 | match r with |
---|
176 | [ Register00 ⇒ REGISTER [[ false; false; false ]] |
---|
177 | | Register01 ⇒ REGISTER [[ false; false; true ]] |
---|
178 | | Register02 ⇒ REGISTER [[ false; true; false ]] |
---|
179 | | Register03 ⇒ REGISTER [[ false; true; true ]] |
---|
180 | | Register04 ⇒ REGISTER [[ true; false; false ]] |
---|
181 | | Register05 ⇒ REGISTER [[ true; false; true ]] |
---|
182 | | Register06 ⇒ REGISTER [[ true; true; false ]] |
---|
183 | | Register07 ⇒ REGISTER [[ true; true; true ]] |
---|
184 | | RegisterA ⇒ ACC_A |
---|
185 | | RegisterB ⇒ DIRECT (bitvector_of_nat 8 240) |
---|
186 | | RegisterDPL ⇒ DIRECT (bitvector_of_nat 8 82) |
---|
187 | | RegisterDPH ⇒ DIRECT (bitvector_of_nat 8 83) |
---|
188 | | _ ⇒ DIRECT (bitvector_of_nat 8 (nat_of_register r)) |
---|
189 | ]. |
---|
190 | [*: normalize |
---|
191 | @ I |
---|
192 | ] |
---|
193 | qed. |
---|
194 | |
---|
195 | record Eval: Type[0] ≝ |
---|
196 | { |
---|
197 | opaccs: OpAccs → Byte → Byte → Byte × Byte; |
---|
198 | op1: Op1 → Byte → Byte; |
---|
199 | op2: Bit → Op2 → Byte → Byte → (Byte × Bit) |
---|
200 | }. |
---|
201 | |
---|
202 | axiom opaccs_implementation: OpAccs → Byte → Byte → Byte × Byte. |
---|
203 | axiom op1_implementation: Op1 → Byte → Byte. |
---|
204 | axiom op2_implementation: Bit → Op2 → Byte → Byte → (Byte × Bit). |
---|
205 | |
---|
206 | definition eval: Eval ≝ |
---|
207 | mk_Eval opaccs_implementation |
---|
208 | op1_implementation |
---|
209 | op2_implementation. |
---|