1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
|
type reg
(* rejestr tymczasowy *)
= REG_Tmp of int
(* rejestr sprzętowy *)
| REG_Hard of int
(* rejestr sprzętowy specjalnego przeznaczenia *)
| REG_Spec of int
let is_spec_reg = function
| REG_Spec _ -> true
| _ -> false
let is_tmp_reg = function
| REG_Tmp _ -> true
| _ -> false
module RegSet = Set.Make(struct
type t = reg
let compare = compare
end)
module RegMap = Map.Make(struct
type t = reg
let compare = compare
end)
module RegGraph = Graph.Imperative.Graph.Concrete(struct
(* module RegGraph = Mygraph.MakeUndirected(struct *)
type t = reg
let hash = Hashtbl.hash
let equal a b = compare a b = 0
let compare a b = compare a b
end)
type expr
= E_Reg of reg
| E_Int of Int32.t
let reglist_of_expr = function
| E_Reg r -> [r]
| E_Int _ -> []
type label
= Label of int
module LabelSet = Set.Make(struct
type t = label
let compare = compare
end)
type procid
= Procid of string
type cond
= COND_Eq
| COND_Ne
| COND_Lt
| COND_Gt
| COND_Le
| COND_Ge
type instr
(* dodaj *)
= I_Add of reg * expr * expr
(* odejmij *)
| I_Sub of reg * expr * expr
(* podziel *)
| I_Div of reg * expr * expr
(* reszta z dzielenia *)
| I_Rem of reg * expr * expr
(* pomnóż *)
| I_Mul of reg * expr * expr
(* bitowy and *)
| I_And of reg * expr * expr
(* bitowy or *)
| I_Or of reg * expr * expr
(* bitowy xor *)
| I_Xor of reg * expr * expr
(* LoadArray(r, xs, i) oznacza załaduj i-ty element tablicy xs do rejestru r *)
| I_LoadArray of reg * expr * expr
(* StoreArray(xs, i, e) oznacza zapisz do i-tego elementu tablicy xs atom e *)
| I_StoreArray of expr * expr * expr
(* LoadMem(r, xs, i) oznacza załaduj komórkę pamięci o adresie (xs+i) do rejestru r*)
| I_LoadMem of reg * expr * expr
(* StoreMem(xs, i, e) oznacza zapisz do komórki pamięci o adresie (xs+i) atom e *)
| I_StoreMem of expr * expr * expr
(* wysokopoziomowa instrukcja: konkatenacja tablic *)
| I_Concat of reg * expr * expr
(* zaneguj liczbę *)
| I_Neg of reg * expr
(* bitowy not *)
| I_Not of reg * expr
(* zapisz atom do rejestru *)
| I_Move of reg * expr
(* wysokopoziomowa instrukcja: zapisuje do rejestru długość tablicy *)
| I_Length of reg * expr
(* wysokopoziomowa instrukcja: zaalokuj tablicę o określonym rozmiarze *)
| I_NewArray of reg * expr
(* I_Call(rs, p, xs, ms) oznacza wywołaj p z argumentami xs, wyniki
* funkcji znajdą się w rejestrach rs, dodatkowo zostaną zmodyfikowane rejestry ms *)
| I_Call of reg list * procid * expr list * reg list
(* I_Set(r, cond, a, b) zapisz do rejestru r wartość boolowską warunku cond(a,b) *)
| I_Set of reg * cond * expr * expr
(* załaduj do rejestru zmienną lokalną *)
| I_LoadVar of reg * int
(* zapisz atom do zmiennej lokalnej *)
| I_StoreVar of int * expr
(* załaduj do rejestru komórkę ze stosu *)
| I_LoadStack of reg * int
(* zapisz do komórki na stosie atom *)
| I_StoreStack of int * expr
(* przydziel stos *)
| I_StackAlloc of Int32.t
(* zwolnij stos *)
| I_StackFree of Int32.t
(* meta-instrukcja, podane rejestry będą uznawane za użyte *)
| I_Use of reg list
(* meta-instrukcja, podane rejestry będą uznane za zmodyfikowane *)
| I_Def of reg list
type terminator =
(* return *)
| T_Return of expr list
(* T_Branch(cond, a, b, then_bb, else_bb) oznacza skok warunkowy
* if cond(a,b) then goto then_bb else goto else_bb *)
| T_Branch of cond * expr * expr * label * label
(* skok bezwarunkowy *)
| T_Jump of label
let labels_of_terminator = function
| T_Branch (_, _, _, lt, lf) -> [lt; lf]
| T_Jump l -> [l]
| _ -> []
type block = instr list
module LabelGraph = Graph.Imperative.Digraph.ConcreteBidirectional(struct
type t = label
let compare = compare
let hash = Hashtbl.hash
let equal a b = a = b
end)
(* Reprezentacja ciała funkcji *)
module ControlFlowGraph = struct
type graph = LabelGraph.t
type t = Cfg of
{ graph: graph
; blockmap: (label, block) Hashtbl.t
; terminatormap: (label, terminator) Hashtbl.t
; entry: label
; exit: label
}
let graph (Cfg {graph; _}) = graph
let _allocate_block graph =
let i = LabelGraph.nb_vertex graph in
let l = Label i in
LabelGraph.add_vertex graph l;
l
let remove (Cfg {graph; terminatormap; blockmap; _}) v =
LabelGraph.remove_vertex graph v;
Hashtbl.remove terminatormap v;
Hashtbl.remove blockmap v
let allocate_block (Cfg {graph; blockmap; terminatormap; _}) =
let i = LabelGraph.nb_vertex graph in
let l = Label i in
LabelGraph.add_vertex graph l;
Hashtbl.replace blockmap l [];
Hashtbl.replace terminatormap l (T_Return []);
l
let create () =
let graph = LabelGraph.create () in
let blockmap = Hashtbl.create 513 in
let terminatormap = Hashtbl.create 513 in
let entry = _allocate_block graph in
let exit = _allocate_block graph in
let _ = LabelGraph.add_vertex graph entry in
let _ = LabelGraph.add_vertex graph exit in
Cfg {graph; blockmap; terminatormap; entry; exit}
let successors (Cfg {graph; _}) v =
LabelGraph.succ graph v
let predecessors (Cfg {graph; _}) v =
LabelGraph.pred graph v
let entry_label (Cfg {entry; _}) = entry
let exit_label (Cfg {exit; _}) = exit
let blockmap (Cfg {blockmap;_}) = blockmap
let blocklist cfg =
let blockmap = blockmap cfg in
let f xs (k,v) = (k,v) :: xs in
let blocks = Seq.fold_left f [] (Hashtbl.to_seq blockmap) in
let blocks = List.sort compare blocks in
blocks
let terminator (Cfg {terminatormap; entry; exit; _}) v =
assert (entry <> v);
assert (exit <> v);
Hashtbl.find terminatormap v
let blocklist2 cfg =
let blockmap = blockmap cfg in
let f xs (k,v) = (k,v,terminator cfg k) :: xs in
let blocks = Seq.fold_left f [] (Hashtbl.to_seq blockmap) in
let blocks = List.sort compare blocks in
blocks
let blocklabels cfg =
let blockmap = blockmap cfg in
let f xs k = k :: xs in
let blocks = Seq.fold_left f [] (Hashtbl.to_seq_keys blockmap) in
let blocks = List.sort compare blocks in
blocks
let block (Cfg {blockmap; entry; exit; _}) v =
assert (entry <> v);
assert (exit <> v);
Hashtbl.find blockmap v
let block_safe (Cfg {blockmap; entry; exit; _}) v =
assert (entry <> v);
assert (exit <> v);
Hashtbl.find_opt blockmap v
let terminator_safe (Cfg {terminatormap; entry; exit; _}) v =
assert (entry <> v);
assert (exit <> v);
Hashtbl.find_opt terminatormap v
let set_block (Cfg {blockmap; entry; exit; _}) v body =
assert (entry <> v);
assert (exit <> v);
Hashtbl.replace blockmap v body
let set_block2 (Cfg {blockmap; terminatormap; entry; exit; _}) v body terminator =
assert (entry <> v);
assert (exit <> v);
Hashtbl.replace blockmap v body;
Hashtbl.replace terminatormap v terminator
let set_terminator (Cfg {terminatormap; entry; exit; _}) v body =
assert (entry <> v);
assert (exit <> v);
Hashtbl.replace terminatormap v body
let connect (Cfg {graph; exit; entry; _}) a b =
assert (entry <> b);
assert (exit <> a);
LabelGraph.add_edge graph a b
let labels (Cfg {graph; _}) =
LabelGraph.fold_vertex (fun x xs -> x::xs) graph []
end
(* Reprezentacja całej procedury *)
type procedure = Procedure of
(* identyfikator *)
{ procid: procid
(* graf sterowania *)
; cfg: ControlFlowGraph.t
(* rozmiar rekordu aktywacji *)
; mutable frame_size: int
(* ilość parametrów formalnych *)
; formal_parameters: int
(* funkcja do przydzielania świeżych rejestrów wewnątrz danej proceduy *)
; allocate_register: unit -> reg
}
let cfg_of_procedure (Procedure {cfg; _}) = cfg
let formal_parameters_of_procedure (Procedure {formal_parameters; _}) = formal_parameters
let allocate_register_of_procedure (Procedure {allocate_register; _}) = allocate_register
let allocate_frame_slot (Procedure procid) =
let slot = procid.frame_size in
procid.frame_size <- procid.frame_size + 1;
slot
let procid_of_procedure (Procedure {procid; _}) = procid
let frame_size_of_procedure (Procedure {frame_size; _}) = frame_size
(* Reprezentacja programu *)
type program = Program of
(* lista procedur *)
{ procedures: procedure list
(* lista wszystkich symboli *)
; symbols: procid list
}
let procedures_of_program (Program{procedures; _}) = procedures
let symbols_of_program (Program{symbols; _}) = symbols
|