@@ -1173,67 +1173,70 @@ end
11731173
11741174# The goal of this function is to request concretization of the minimal necessary control
11751175# flow to evaluate statements whose concretization have already been requested.
1176- # The basic approach is to check if there are any active successors for each basic block,
1177- # and if there is an active successor and the terminator is not a fall-through, then request
1178- # the concretization of that terminator. Additionally, for conditional terminators, a simple
1179- # optimization using post-domination analysis is also performed.
1180- function add_control_flow! (concretize:: BitVector , src:: CodeInfo , cfg:: CFG , postdomtree)
1176+ # The basic algorithm is based on what was proposed in [^Wei84]. If there is even one active
1177+ # block in the blocks reachable from a conditional branch up to its successors' nearest
1178+ # common post-dominator (referred to as **INFL** in the paper), it is necessary to follow
1179+ # that conditional branch and execute the code. Otherwise, execution can be short-circuited
1180+ # from the conditional branch to the nearest common post-dominator.
1181+ #
1182+ # COMBAK: It is important to note that in Julia's intermediate code representation (`CodeInfo`),
1183+ # "short-circuiting" a specific code region is not a simple task. Simply ignoring the path
1184+ # to the post-dominator does not guarantee fall-through to the post-dominator. Therefore,
1185+ # a more careful implementation is required for this aspect.
1186+ #
1187+ # [Wei84]: M. Weiser, "Program Slicing," IEEE Transactions on Software Engineering, 10, pages 352-357, July 1984.
1188+ function add_control_flow! (concretize:: BitVector , src:: CodeInfo , cfg:: CFG , domtree, postdomtree)
11811189 local changed:: Bool = false
11821190 function mark_concretize! (idx:: Int )
11831191 if ! concretize[idx]
1184- concretize[idx] = true
1192+ changed |= concretize[idx] = true
11851193 return true
11861194 end
11871195 return false
11881196 end
1189- nblocks = length (cfg. blocks)
1190- for bbidx = 1 : nblocks
1191- bb = cfg. blocks[bbidx] # forward traversal
1197+ for bbidx = 1 : length (cfg. blocks) # forward traversal
1198+ bb = cfg. blocks[bbidx]
11921199 nsuccs = length (bb. succs)
11931200 if nsuccs == 0
11941201 continue
11951202 elseif nsuccs == 1
1196- terminator_idx = bb. stmts[end ]
1197- if src. code[terminator_idx] isa GotoNode
1198- # If the destination of this `GotoNode` is not active, it's fine to ignore
1199- # the control flow caused by this `GotoNode` and treat it as a fall-through.
1200- # If the block that is fallen through to is active and has a dependency on
1201- # this goto block, then the concretization of this goto block should already
1202- # be requested (at some point of the higher concretization convergence cycle
1203- # of `select_dependencies`), and thus, this `GotoNode` will be concretized.
1204- if any (@view concretize[cfg. blocks[only (bb. succs)]. stmts])
1205- changed |= mark_concretize! (terminator_idx)
1203+ termidx = bb. stmts[end ]
1204+ if src. code[termidx] isa GotoNode
1205+ succ = only (bb. succs)
1206+ if any (@view concretize[cfg. blocks[succ]. stmts])
1207+ dominator = nearest_common_dominator (domtree, bbidx, succ)
1208+ if dominator ≠ succ
1209+ for blk in reachable_blocks (cfg, dominator, succ)
1210+ if blk == dominator || blk == succ
1211+ continue
1212+ end
1213+ if any (@view concretize[cfg. blocks[blk]. stmts])
1214+ mark_concretize! (termidx)
1215+ break
1216+ end
1217+ end
1218+ else
1219+ mark_concretize! (termidx)
1220+ end
12061221 end
12071222 end
1223+ continue # we can just fall-through
12081224 elseif nsuccs == 2
1209- terminator_idx = bb. stmts[end ]
1210- @assert is_conditional_terminator (src. code[terminator_idx ]) " invalid IR"
1225+ termidx = bb. stmts[end ]
1226+ @assert is_conditional_terminator (src. code[termidx ]) " invalid IR"
12111227 succ1, succ2 = bb. succs
1212- succ1_req = any (@view concretize[cfg. blocks[succ1]. stmts])
1213- succ2_req = any (@view concretize[cfg. blocks[succ2]. stmts])
1214- if succ1_req
1215- if succ2_req
1216- changed |= mark_concretize! (terminator_idx)
1217- else
1218- active_bb, inactive_bb = succ1, succ2
1219- @goto asymmetric_case
1228+ postdominator = nearest_common_dominator (postdomtree, succ1, succ2)
1229+ inflblks = reachable_blocks (cfg, succ1, postdominator) ∪ reachable_blocks (cfg, succ2, postdominator)
1230+ for blk in inflblks
1231+ if blk == postdominator
1232+ continue
12201233 end
1221- elseif succ2_req
1222- active_bb, inactive_bb = succ2, succ1
1223- @label asymmetric_case
1224- # We can ignore the control flow of this conditional terminator and treat
1225- # it as a fall-through if only one of its successors is active and the
1226- # active block post-dominates the inactive one, since the post-domination
1227- # ensures that the active basic block will be reached regardless of the
1228- # control flow.
1229- if CC. postdominates (postdomtree, active_bb, inactive_bb)
1230- # fall through this block
1231- else
1232- changed |= mark_concretize! (terminator_idx)
1234+ if any (@view concretize[cfg. blocks[blk]. stmts])
1235+ mark_concretize! (termidx)
1236+ break
12331237 end
1234- else
1235- # both successors are inactive, just fall through this block
12361238 end
1239+ # we can just fall-through to the post dominator block (by ignoring all statements between)
12371240 end
12381241 end
12391242 return changed
@@ -1242,6 +1245,25 @@ end
12421245is_conditional_terminator (@nospecialize stmt) = stmt isa GotoIfNot ||
12431246 (@static @isdefined (EnterNode) ? stmt isa EnterNode : isexpr (stmt, :enter ))
12441247
1248+ function reachable_blocks (cfg:: CFG , from_bb:: Int , to_bb:: Int )
1249+ worklist = Int[from_bb]
1250+ visited = BitSet (from_bb)
1251+ if to_bb == from_bb
1252+ return visited
1253+ end
1254+ push! (visited, to_bb)
1255+ function visit! (bb:: Int )
1256+ if bb ∉ visited
1257+ push! (visited, bb)
1258+ push! (worklist, bb)
1259+ end
1260+ end
1261+ while ! isempty (worklist)
1262+ foreach (visit!, cfg. blocks[pop! (worklist)]. succs)
1263+ end
1264+ return visited
1265+ end
1266+
12451267function add_required_inplace! (concretize:: BitVector , src:: CodeInfo , edges, cl)
12461268 changed = false
12471269 for i = 1 : length (src. code)
@@ -1272,27 +1294,42 @@ function is_arg_requested(@nospecialize(arg), concretize, edges, cl)
12721294 return false
12731295end
12741296
1297+ # The purpose of this function is to find other statements that affect the execution of the
1298+ # statements choosen by `select_direct_dependencies!`. In other words, it extracts the
1299+ # minimal amount of code necessary to realize the required concretization.
1300+ # This technique is generally referred to as "program slicing," and specifically as
1301+ # "static program slicing". The basic algorithm implemented here is an extension of the one
1302+ # proposed in https://dl.acm.org/doi/10.5555/800078.802557, which is especially tuned for
1303+ # Julia's intermediate code representation.
12751304function select_dependencies! (concretize:: BitVector , src:: CodeInfo , edges, cl)
12761305 typedefs = LoweredCodeUtils. find_typedefs (src)
1277- cfg = CC. compute_basic_blocks (src. code)
1278- postdomtree = CC. construct_postdomtree (cfg. blocks)
1306+ cfg = compute_basic_blocks (src. code)
1307+ domtree = construct_domtree (cfg. blocks)
1308+ postdomtree = construct_postdomtree (cfg. blocks)
12791309
12801310 while true
12811311 changed = false
12821312
1283- # discover struct/method definitions at the beginning,
1284- # and propagate the definition requirements by tracking SSA precedessors
1313+ # Discover Dtruct/method definitions at the beginning,
1314+ # and propagate the definition requirements by tracking SSA precedessors.
1315+ # (TODO maybe hoist this out of the loop?)
12851316 changed |= LoweredCodeUtils. add_typedefs! (concretize, src, edges, typedefs, ())
12861317 changed |= add_ssa_preds! (concretize, src, edges, ())
12871318
1288- # mark some common inplace operations like `push!(x, ...)` and `setindex!(x, ...)`
1289- # when `x` has been marked already: otherwise we may end up using it with invalid state
1319+ # Mark some common inplace operations like `push!(x, ...)` and `setindex!(x, ...)`
1320+ # when `x` has been marked already: otherwise we may end up using it with invalid state.
1321+ # However, note that this is an incomplete approach, and note that the slice created
1322+ # by this routine will not be sound because of this. This is because
1323+ # `add_required_inplace!` only requires certain special-cased function calls and
1324+ # does not take into account the possibility that arguments may be mutated in
1325+ # arbitrary function calls. Ideally, function calls should be required while
1326+ # considering the effects of these statements, or by some sort of an
1327+ # inter-procedural program slicing
12901328 changed |= add_required_inplace! (concretize, src, edges, cl)
12911329 changed |= add_ssa_preds! (concretize, src, edges, ())
12921330
1293- # mark necessary control flows,
1294- # and propagate the definition requirements by tracking SSA precedessors
1295- changed |= add_control_flow! (concretize, src, cfg, postdomtree)
1331+ # Mark necessary control flows.
1332+ changed |= add_control_flow! (concretize, src, cfg, domtree, postdomtree)
12961333 changed |= add_ssa_preds! (concretize, src, edges, ())
12971334
12981335 changed || break
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