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1 | (* L3 Compiler | |
2 | * Turns pseudoasm into liveness-annotated pseudoasm | |
3 | * Author: Chris Lu <czl@andrew.cmu.edu> | |
4 | * Author: Joshua Wise <jwise@andrew.cmu.edu> | |
5 | *) | |
6 | ||
7 | signature LIVENESS = | |
8 | sig | |
9 | structure OperSet : ORD_SET | |
10 | where type Key.ord_key = Blarg.oper; | |
11 | structure LiveMap : ORD_MAP | |
12 | where type Key.ord_key = int; | |
13 | ||
14 | type live = int * OperSet.set | |
15 | type pseudoasm = Blarg.insn list | |
16 | type livenesses = OperSet.set LiveMap.map | |
17 | ||
18 | type ident = int | |
19 | datatype pred = DEF of Blarg.oper | USE of Blarg.oper | SUCC of ident | ISMOVE | |
20 | ||
21 | type predicates = pred list LiveMap.map | |
22 | ||
23 | val uses : pred list -> Blarg.oper list | |
24 | val succs : pred list -> ident list | |
25 | val defs : pred list -> Blarg.oper list | |
26 | val ismove : pred list -> bool | |
27 | ||
28 | val liveness : pseudoasm -> predicates * livenesses | |
29 | val listify : livenesses -> OperSet.set list | |
30 | val prettyprint : OperSet.set -> string | |
31 | end | |
32 | ||
33 | structure Liveness :> LIVENESS = | |
34 | struct | |
35 | structure T = Temp | |
36 | structure X = Blarg | |
37 | ||
38 | structure OperSet = Blarg.OperSet | |
39 | structure LiveMap = Blarg.LiveMap | |
40 | structure LabelMap = SplayMapFn(struct | |
41 | type ord_key = Label.label | |
42 | val compare = Label.compare | |
43 | end) | |
44 | ||
45 | type live = int * OperSet.set | |
46 | type pseudoasm = X.insn list | |
47 | type numasm = X.insn LiveMap.map | |
48 | type livenesses = OperSet.set LiveMap.map | |
49 | ||
50 | type ident = int | |
51 | datatype pred = DEF of X.oper | USE of X.oper | SUCC of ident | ISMOVE | |
52 | ||
53 | type predicates = pred list LiveMap.map | |
54 | ||
55 | (* val number : pseudoasm -> numasm | |
56 | * numbers the instructions! | |
57 | *) | |
58 | ||
59 | fun number instrs = | |
60 | let | |
61 | val nums = List.tabulate (List.length instrs, (fn i => i)) | |
62 | in | |
63 | foldr | |
64 | LiveMap.insert' | |
65 | LiveMap.empty | |
66 | (ListPair.zip (nums,instrs)) | |
67 | end | |
68 | ||
69 | (* val defusesucc : numasm -> (ident * pred list) list | |
70 | * generates def/use/succ predicates according to rules | |
71 | *) | |
72 | fun defusesucc l = | |
73 | let | |
74 | val labelmap = LiveMap.foldri | |
75 | (fn (n, a, b) => LabelMap.insert(b, a, n)) | |
76 | (LabelMap.empty) | |
77 | (LiveMap.mapPartial (fn (X.LABEL lb) => SOME(lb) | _ => NONE) l) | |
78 | ||
79 | fun findlabel (lb) = valOf (LabelMap.find (labelmap, lb)) | |
80 | ||
81 | (* val defhit/usehit : X.oper -> pred list | |
82 | * helper functions to discard constant operands *) | |
83 | fun defhit (X.REG X.PC) = raise ErrorMsg.InternalError "cannot define PC" | |
84 | | defhit (X.REG a) = [DEF(X.REG a)] | |
85 | | defhit (X.TEMP a) = [DEF(X.TEMP a)] | |
86 | | defhit (_) = nil | |
87 | ||
88 | and usehit (X.REG a) = [USE(X.REG a)] | |
89 | | usehit (X.TEMP a) = [USE(X.TEMP a)] | |
90 | | usehit (_) = nil | |
91 | ||
92 | fun callhit 0 = nil | |
93 | | callhit 1 = USE(X.REG(X.R0))::(callhit 0) | |
94 | | callhit 2 = USE(X.REG(X.R1))::(callhit 1) | |
95 | | callhit 3 = USE(X.REG(X.R2))::(callhit 2) | |
96 | | callhit 4 = USE(X.REG(X.R3))::(callhit 3) | |
97 | | callhit _ = callhit 4 | |
98 | ||
99 | (* val gendef : ident * X.insn -> ident * pred list | |
100 | * generates the def/use/succ predicates for a single insn | |
101 | *) | |
102 | fun gendef (n, X.DIRECTIVE(_)) = ([SUCC (n+1)]) | |
103 | | gendef (n, X.COMMENT(_)) = ([SUCC (n+1)]) | |
104 | | gendef (n, X.LIVEIGN (_)) = ([SUCC (n+1)]) | |
105 | | gendef (n, X.LABEL l) = ([SUCC (n+1)]) | |
106 | | gendef (n, X.INSN(X.NV, _)) = ([SUCC (n+1)]) | |
107 | | gendef (n, X.INSN(_, X.MOVLIT(dest, _))) = (defhit dest @ [SUCC(n+1), ISMOVE]) | |
108 | | gendef (n, X.INSN(_, X.MOVSYM(dest, sym))) = (defhit dest @ [SUCC(n+1), ISMOVE]) | |
109 | | gendef (n, X.INSN(X.AL, X.MOVLBL(X.REG X.PC, l))) = ([SUCC (findlabel l)]) | |
110 | | gendef (n, X.INSN(_, X.MOVLBL(X.REG X.PC, l))) = ([SUCC (n+1), SUCC (findlabel l)]) | |
111 | | gendef (n, X.INSN(_, X.MOVLBL(_, _))) = raise ErrorMsg.InternalError "MOVLBL with target neq PC" | |
112 | | gendef (n, X.INSN(_, X.LDR(dest, src))) = (defhit dest @ usehit src @ [SUCC (n+1), ISMOVE]) | |
113 | | gendef (n, X.INSN(_, X.STO(dest, src))) = (usehit dest @ usehit src @ [SUCC (n+1)]) | |
114 | | gendef (n, X.INSN(_, X.MOV(dest, src))) = (defhit dest @ usehit src @ [SUCC (n+1), ISMOVE]) | |
115 | | gendef (n, X.INSN(_, X.MOVS(dest, src))) = (usehit src @ [SUCC (n+1)]) | |
116 | | gendef (n, X.INSN(_, X.ADD(dest, src))) = (defhit dest @ usehit dest @ usehit src @ [SUCC (n+1)]) | |
117 | | gendef (n, X.INSN(_, X.ADDS(dest, src))) = (usehit dest @ usehit src @ [SUCC (n+1)]) | |
118 | | gendef (n, X.INSN(_, X.SUB(dest, src))) = (defhit dest @ usehit dest @ usehit src @ [SUCC (n+1)]) | |
119 | | gendef (n, X.INSN(_, X.SUBS(dest, src))) = (usehit dest @ usehit src @ [SUCC (n+1)]) | |
120 | | gendef (n, X.INSN(_, X.AND(dest, src))) = (defhit dest @ usehit dest @ usehit src @ [SUCC (n+1)]) | |
121 | | gendef (n, X.INSN(_, X.ANDS(dest, src))) = (usehit dest @ usehit src @ [SUCC (n+1)]) | |
122 | | gendef (n, X.INSN(_, X.NOT(dest, src))) = (defhit dest @ usehit src @ [SUCC (n+1)]) | |
123 | | gendef (n, X.INSN(_, X.NOTS(dest, src))) = (usehit src @ [SUCC (n+1)]) | |
124 | | gendef (n, X.INSN(_, X.PUSH(X.REG X.SP, src))) = (usehit src @ [SUCC (n+1)]) | |
125 | | gendef (n, X.INSN(_, X.PUSH(_, _))) = raise ErrorMsg.InternalError "PUSH with sp != SP" | |
126 | | gendef (n, X.INSN(X.AL, X.POP(X.REG X.SP, X.REG X.PC))) = ([USE (X.REG X.R0)]) (* kind of like 'ret' *) | |
127 | | gendef (n, X.INSN(_, X.POP(X.REG X.SP, X.REG X.PC))) = ([USE (X.REG X.R0), SUCC(n+1)]) | |
128 | | gendef (n, X.INSN(_, X.POP(X.REG X.SP, src))) = (defhit src @ [SUCC (n+1)]) | |
129 | | gendef (n, X.INSN(_, X.POP(_, _))) = raise ErrorMsg.InternalError "POP with sp != SP" | |
130 | | gendef (n, X.INSN(_, X.CALL(X.REG X.SP, src, a))) = (callhit a @ | |
131 | usehit src @ | |
132 | [DEF(X.REG(X.R0)), DEF(X.REG(X.R1)), DEF(X.REG(X.R2)), DEF(X.REG(X.R3)), | |
133 | DEF(X.REG(X.R4)), DEF(X.REG(X.R5)), | |
134 | SUCC(n+1)] | |
135 | ) | |
136 | | gendef (n, X.INSN(_, X.CALL(_, _, _))) = raise ErrorMsg.InternalError "CALL with sp != SP" | |
137 | | gendef (n, X.INSN(_, X.SHR(dest, src))) = (defhit dest @ usehit dest @ usehit src @ [SUCC (n+1)]) | |
138 | | gendef (n, X.INSN(_, X.SHL(dest, src))) = (defhit dest @ usehit dest @ usehit src @ [SUCC (n+1)]) | |
139 | in | |
140 | LiveMap.mapi gendef l | |
141 | end | |
142 | ||
143 | (* val uselive : (int * pred list) list -> OperSet.set LiveMap.map | |
144 | * generates liveness for 'use' rules to get the iterative analyzer started | |
145 | *) | |
146 | fun uselive preds = | |
147 | LiveMap.mapi | |
148 | (fn (n, pl) => | |
149 | foldr | |
150 | (fn (USE (l), set) => OperSet.add (set, l) | |
151 | | (_, set) => set) | |
152 | OperSet.empty | |
153 | pl | |
154 | ) | |
155 | preds | |
156 | ||
157 | (* val subsetlive : OperSet.set LiveMap.map * OperSet.set LiveMap.map -> bool | |
158 | * true if first is subset of second | |
159 | *) | |
160 | ||
161 | fun subsetlive (l1,l2) = | |
162 | LiveMap.foldri | |
163 | (fn (_, _, false) => false | |
164 | | (n, set1, _) => case LiveMap.find (l2, n) | |
165 | of NONE => false | |
166 | | SOME set2 => OperSet.isSubset (set1, set2)) | |
167 | true | |
168 | l1 | |
169 | ||
170 | (* val succs : pred list -> int list | |
171 | * generates a list of lines that succeed a line given the predicates | |
172 | * for that line | |
173 | *) | |
174 | fun succs (SUCC(a)::l') = a::(succs l') | |
175 | | succs (_::l') = succs l' | |
176 | | succs nil = nil | |
177 | ||
178 | fun defs (DEF(a)::l) = a::(defs l) | |
179 | | defs (_::l) = defs l | |
180 | | defs nil = nil | |
181 | ||
182 | fun uses (USE(a)::l) = a::(defs l) | |
183 | | uses (_::l) = defs l | |
184 | | uses nil = nil | |
185 | ||
186 | fun ismove l = List.exists (fn ISMOVE => true | _ => false) l | |
187 | ||
188 | (* val liveiter : OperSet.set LiveMap.map -> (int * pred list) list -> OperSet.set LiveMap.map | |
189 | * iteratively generates livenesses from def/use/succ rules | |
190 | * it must be fed a liveness list generated from the use rule as it only | |
191 | * processes the second rule : | |
192 | * | |
193 | * use(l',x) | |
194 | * !def(l,x) | |
195 | * succ(l,l') | |
196 | * -------------- | |
197 | * live(l,x) | |
198 | *) | |
199 | ||
200 | fun liveiter livemap preds = | |
201 | let | |
202 | ||
203 | ||
204 | ||
205 | (* val lives : int list -> OperSet.set LiveMap.map -> OperSet.set | |
206 | * scans l for live variables in succeeding lines *) | |
207 | fun lives l' idents = | |
208 | let | |
209 | val lines = List.mapPartial (fn a => LiveMap.find (l', a)) idents | |
210 | in | |
211 | foldr | |
212 | (fn (set', set) => OperSet.union (set', set)) | |
213 | OperSet.empty | |
214 | lines | |
215 | end | |
216 | ||
217 | (* val isndef : X.oper -> pred list -> bool | |
218 | * checks to see if x is defined in a predicate list *) | |
219 | fun isndef (X.STACKARG(_)) _ = false | |
220 | | isndef x (DEF(y)::l') = not (X.opereq (x,y)) andalso isndef x l' | |
221 | | isndef x (a::l') = isndef x l' | |
222 | | isndef x nil = true | |
223 | ||
224 | (* val liveadd : live -> OperSet.set LiveMap.map -> OperSet.set LiveMap.map *) | |
225 | fun liveadd (n,oper) map = case LiveMap.find (map, n) | |
226 | of SOME(x) => LiveMap.insert (map, n, OperSet.add (x, oper)) | |
227 | | NONE => LiveMap.insert (map, n, OperSet.singleton oper) | |
228 | ||
229 | (* this does the dirty work! | |
230 | * for each line, checks if the live variables in succeeding lines are | |
231 | * not defined here; if so, it accumulates them onto the inital list | |
232 | * | |
233 | * changing the first foldr to a foldl slows down liveness by a factor | |
234 | * of at least 100 on cedar-anastulate.l2 | |
235 | *) | |
236 | val newl = LiveMap.foldri | |
237 | (fn (n, a, b) => OperSet.foldr | |
238 | (fn (a',b') => if (isndef a' a) then liveadd (n, a') b' else b') | |
239 | b | |
240 | (lives b (succs a)) | |
241 | ) | |
242 | livemap | |
243 | preds | |
244 | in | |
245 | if subsetlive (newl, livemap) | |
246 | then livemap | |
247 | else liveiter newl preds | |
248 | end | |
249 | ||
250 | fun dustostring (DEF(a)) = "DEF(" ^ X.pp_oper a ^ ")" | |
251 | | dustostring (USE(a)) = "USE(" ^ X.pp_oper a ^ ")" | |
252 | | dustostring (SUCC(a)) = "SUCC(" ^ Int.toString a ^ ")" | |
253 | | dustostring ISMOVE = "ISMOVE" | |
254 | ||
255 | (* val liveness : pseudoasm -> livenesses | |
256 | * analyzes liveness of variables in the given pseudo-asm | |
257 | *) | |
258 | ||
259 | fun liveness instrs = | |
260 | let | |
261 | val preds = defusesucc (number instrs) | |
262 | (* val (_,l) = ListPair.unzip preds | |
263 | val () = print ( | |
264 | String.concatWith "\n" ( | |
265 | List.map | |
266 | (fn a => String.concatWith ", " (List.map dustostring a)) | |
267 | l | |
268 | ) | |
269 | )*) | |
270 | val init = uselive preds | |
271 | val initmap = LiveMap.foldri (fn (n,a,b) => LiveMap.insert (b, n, a)) LiveMap.empty init | |
272 | in | |
273 | (preds, liveiter initmap preds) | |
274 | end | |
275 | ||
276 | fun prettyprint (set) = | |
277 | OperSet.foldr | |
278 | (fn (oper, s) => (X.pp_oper oper) ^ ", " ^ s) | |
279 | "-\n" | |
280 | set | |
281 | ||
282 | fun listify map = | |
283 | let | |
284 | val maxln = LiveMap.foldri (fn (a, _, b) => Int.max (a, b)) 0 map | |
285 | val nums = List.tabulate (maxln+1, fn x => x) | |
286 | in | |
287 | List.map (fn num => valOf (LiveMap.find (map, num)) handle Option => OperSet.empty) nums | |
288 | end | |
289 | end |