source: src/ASM/ASM.ma @ 778

Last change on this file since 778 was 757, checked in by mulligan, 9 years ago

Lots more fixing to get both front and backends using same conventions and types.

File size: 8.4 KB
Line 
1include "common/AST.ma".
2
3inductive addressing_mode: Type[0] ≝
4  DIRECT: Byte → addressing_mode
5| INDIRECT: Bit → addressing_mode
6| EXT_INDIRECT: Bit → addressing_mode
7| REGISTER: BitVector 3 → addressing_mode
8| ACC_A: addressing_mode
9| ACC_B: addressing_mode
10| DPTR: addressing_mode
11| DATA: Byte → addressing_mode
12| DATA16: Word → addressing_mode
13| ACC_DPTR: addressing_mode
14| ACC_PC: addressing_mode
15| EXT_INDIRECT_DPTR: addressing_mode
16| INDIRECT_DPTR: addressing_mode
17| CARRY: addressing_mode
18| BIT_ADDR: Byte → addressing_mode
19| N_BIT_ADDR: Byte → addressing_mode
20| RELATIVE: Byte → addressing_mode
21| ADDR11: Word11 → addressing_mode
22| ADDR16: Word → addressing_mode.
23
24(* dpm: renamed register to registr to avoid clash with brian's types *)
25inductive addressing_mode_tag : Type[0] ≝
26  direct: addressing_mode_tag
27| indirect: addressing_mode_tag
28| ext_indirect: addressing_mode_tag
29| registr: addressing_mode_tag
30| acc_a: addressing_mode_tag
31| acc_b: addressing_mode_tag
32| dptr: addressing_mode_tag
33| data: addressing_mode_tag
34| data16: addressing_mode_tag
35| acc_dptr: addressing_mode_tag
36| acc_pc: addressing_mode_tag
37| ext_indirect_dptr: addressing_mode_tag
38| indirect_dptr: addressing_mode_tag
39| carry: addressing_mode_tag
40| bit_addr: addressing_mode_tag
41| n_bit_addr: addressing_mode_tag
42| relative: addressing_mode_tag
43| addr11: addressing_mode_tag
44| addr16: addressing_mode_tag.
45
46definition eq_a ≝
47  λa, b: addressing_mode_tag.
48    match a with
49      [ direct ⇒ match b with [ direct ⇒ true | _ ⇒ false ]
50      | indirect ⇒ match b with [ indirect ⇒ true | _ ⇒ false ]
51      | ext_indirect ⇒ match b with [ ext_indirect ⇒ true | _ ⇒ false ]
52      | registr ⇒ match b with [ registr ⇒ true | _ ⇒ false ]
53      | acc_a ⇒ match b with [ acc_a ⇒ true | _ ⇒ false ]
54      | acc_b ⇒ match b with [ acc_b ⇒ true | _ ⇒ false ]
55      | dptr ⇒ match b with [ dptr ⇒ true | _ ⇒ false ]
56      | data ⇒ match b with [ data ⇒ true | _ ⇒ false ]
57      | data16 ⇒ match b with [ data16 ⇒ true | _ ⇒ false ]
58      | acc_dptr ⇒ match b with [ acc_dptr ⇒ true | _ ⇒ false ]
59      | acc_pc ⇒ match b with [ acc_pc ⇒ true | _ ⇒ false ]
60      | ext_indirect_dptr ⇒ match b with [ ext_indirect_dptr ⇒ true | _ ⇒ false ]
61      | indirect_dptr ⇒ match b with [ indirect_dptr ⇒ true | _ ⇒ false ]
62      | carry ⇒ match b with [ carry ⇒ true | _ ⇒ false ]
63      | bit_addr ⇒ match b with [ bit_addr ⇒ true | _ ⇒ false ]
64      | n_bit_addr ⇒ match b with [ n_bit_addr ⇒ true | _ ⇒ false ]
65      | relative ⇒ match b with [ relative ⇒ true | _ ⇒ false ]
66      | addr11 ⇒ match b with [ addr11 ⇒ true | _ ⇒ false ]
67      | addr16 ⇒ match b with [ addr16 ⇒ true | _ ⇒ false ]
68      ].
69
70(* to avoid expansion... *)
71let rec is_a (d:addressing_mode_tag) (A:addressing_mode) on d ≝
72  match d with
73   [ direct ⇒ match A with [ DIRECT _ ⇒ true | _ ⇒ false ]
74   | indirect ⇒ match A with [ INDIRECT _ ⇒ true | _ ⇒ false ]
75   | ext_indirect ⇒ match A with [ EXT_INDIRECT _ ⇒ true | _ ⇒ false ]
76   | registr ⇒ match A with [ REGISTER _ ⇒ true | _ ⇒ false ]
77   | acc_a ⇒ match A with [ ACC_A ⇒ true | _ ⇒ false ]
78   | acc_b ⇒ match A with [ ACC_B ⇒ true | _ ⇒ false ]
79   | dptr ⇒ match A with [ DPTR ⇒ true | _ ⇒ false ]
80   | data ⇒ match A with [ DATA _ ⇒ true | _ ⇒ false ]
81   | data16 ⇒ match A with [ DATA16 _ ⇒ true | _ ⇒ false ]
82   | acc_dptr ⇒ match A with [ ACC_DPTR ⇒ true | _ ⇒ false ]
83   | acc_pc ⇒ match A with [ ACC_PC ⇒ true | _ ⇒ false ]
84   | ext_indirect_dptr ⇒ match A with [ EXT_INDIRECT_DPTR ⇒ true | _ ⇒ false ]
85   | indirect_dptr ⇒ match A with [ INDIRECT_DPTR ⇒ true | _ ⇒ false ]
86   | carry ⇒ match A with [ CARRY ⇒ true | _ ⇒ false ]
87   | bit_addr ⇒ match A with [ BIT_ADDR _ ⇒ true | _ ⇒ false ]
88   | n_bit_addr ⇒ match A with [ N_BIT_ADDR _ ⇒ true | _ ⇒ false ]
89   | relative ⇒ match A with [ RELATIVE _ ⇒ true | _ ⇒ false ]
90   | addr11 ⇒ match A with [ ADDR11 _ ⇒ true | _ ⇒ false ]
91   | addr16 ⇒ match A with [ ADDR16 _ ⇒ true | _ ⇒ false ]].
92
93
94let rec is_in n (l: Vector addressing_mode_tag n) (A:addressing_mode) on l : bool ≝
95 match l return λm.λ_:Vector addressing_mode_tag m.bool with
96  [ VEmpty ⇒ false
97  | VCons m he (tl: Vector addressing_mode_tag m) ⇒
98     is_a he A ∨ is_in ? tl A ].
99
100record subaddressing_mode (n) (l: Vector addressing_mode_tag (S n)) : Type[0] ≝
101{
102  subaddressing_modeel:> addressing_mode;
103  subaddressing_modein: bool_to_Prop (is_in ? l subaddressing_modeel)
104}.
105
106coercion subaddressing_mode : ∀n.∀l:Vector addressing_mode_tag (S n).Type[0]
107 ≝ subaddressing_mode on _l: Vector addressing_mode_tag (S ?) to Type[0].
108
109coercion mk_subaddressing_mode :
110 ∀n.∀l:Vector addressing_mode_tag (S n).∀a:addressing_mode.
111  ∀p:bool_to_Prop (is_in ? l a).subaddressing_mode n l
112 ≝ mk_subaddressing_mode on a:addressing_mode to subaddressing_mode ? ?.
113
114inductive jump (A: Type[0]): Type[0] ≝
115  JC: A → jump A
116| JNC: A → jump A
117| JB: [[bit_addr]] → A → jump A
118| JNB: [[bit_addr]] → A → jump A
119| JBC: [[bit_addr]] → A → jump A
120| JZ: A → jump A
121| JNZ: A → jump A
122| CJNE:
123   [[acc_a]] × [[direct; data]] ⊎ [[registr; indirect]] × [[data]] → A → jump A
124| DJNZ: [[registr ; direct]] → A → jump A.
125
126inductive preinstruction (A: Type[0]) : Type[0] ≝
127  ADD: [[acc_a]] → [[ registr ; direct ; indirect ; data ]] → preinstruction A
128| ADDC: [[acc_a]] → [[ registr ; direct ; indirect ; data ]] → preinstruction A
129| SUBB: [[acc_a]] → [[ registr ; direct ; indirect ; data ]] → preinstruction A
130| INC: [[ acc_a ; registr ; direct ; indirect ; dptr ]] → preinstruction A
131| DEC: [[ acc_a ; registr ; direct ; indirect ]] → preinstruction A
132| MUL: [[acc_a]] → [[acc_b]] → preinstruction A
133| DIV: [[acc_a]] → [[acc_b]] → preinstruction A
134| DA: [[acc_a]] → preinstruction A
135
136 (* logical operations *)
137| ANL:
138   [[acc_a]] × [[ registr ; direct ; indirect ; data ]] ⊎
139   [[direct]] × [[ acc_a ; data ]] ⊎
140   [[carry]] × [[ bit_addr ; n_bit_addr]] → preinstruction A
141| ORL:
142   [[acc_a]] × [[ registr ; data ; direct ; indirect ]] ⊎
143   [[direct]] × [[ acc_a ; data ]] ⊎
144   [[carry]] × [[ bit_addr ; n_bit_addr]] → preinstruction A
145| XRL:
146   [[acc_a]] × [[ data ; registr ; direct ; indirect ]] ⊎
147   [[direct]] × [[ acc_a ; data ]] → preinstruction A
148| CLR: [[ acc_a ; carry ; bit_addr ]] → preinstruction A
149| CPL: [[ acc_a ; carry ; bit_addr ]] → preinstruction A
150| RL: [[acc_a]] → preinstruction A
151| RLC: [[acc_a]] → preinstruction A
152| RR: [[acc_a]] → preinstruction A
153| RRC: [[acc_a]] → preinstruction A
154| SWAP: [[acc_a]] → preinstruction A
155
156 (* data transfer *)
157| MOV:
158    [[acc_a]] × [[ registr ; direct ; indirect ; data ]] ⊎
159    [[ registr ; indirect ]] × [[ acc_a ; direct ; data ]] ⊎
160    [[direct]] × [[ acc_a ; registr ; direct ; indirect ; data ]] ⊎
161    [[dptr]] × [[data16]] ⊎
162    [[carry]] × [[bit_addr]] ⊎
163    [[bit_addr]] × [[carry]] → preinstruction A
164| MOVC: [[acc_a]] → [[ acc_dptr ; acc_pc ]] → preinstruction A
165| MOVX:
166    [[acc_a]] × [[ ext_indirect ; ext_indirect_dptr ]] ⊎
167    [[ ext_indirect ; ext_indirect_dptr ]] × [[acc_a]] → preinstruction A
168| SETB: [[ carry ; bit_addr ]] → preinstruction A
169| PUSH: [[direct]] → preinstruction A
170| POP: [[direct]] → preinstruction A
171| XCH: [[acc_a]] → [[ registr ; direct ; indirect ]] → preinstruction A
172| XCHD: [[acc_a]] → [[indirect]] → preinstruction A
173
174 (* program branching *)
175| Jump: jump A → preinstruction A
176| ACALL: [[addr11]] → preinstruction A
177| LCALL: [[addr16]] → preinstruction A
178| RET: preinstruction A
179| RETI: preinstruction A
180| AJMP: [[addr11]] → preinstruction A
181| LJMP: [[addr16]] → preinstruction A
182| SJMP: [[relative]] → preinstruction A
183| JMP: [[indirect_dptr]] → preinstruction A
184| NOP: preinstruction A.
185
186definition instruction ≝ preinstruction [[relative]].
187
188inductive pseudo_instruction: Type[0] ≝
189  Instruction: instruction → pseudo_instruction
190| Comment: String → pseudo_instruction
191| Cost: Identifier → pseudo_instruction
192| Jmp: Identifier → pseudo_instruction
193| Call: Identifier → pseudo_instruction
194| Mov: [[dptr]] → Identifier → pseudo_instruction
195| WithLabel: jump Identifier → pseudo_instruction.
196
197definition labelled_instruction ≝ option Identifier × pseudo_instruction.
198
199definition preamble ≝ list (Identifier × nat).
200
201definition assembly_program ≝ preamble × (list labelled_instruction).
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