@@ -1173,67 +1173,70 @@ end
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# The goal of this function is to request concretization of the minimal necessary control
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# flow to evaluate statements whose concretization have already been requested.
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- # The basic approach is to check if there are any active successors for each basic block,
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- # and if there is an active successor and the terminator is not a fall-through, then request
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- # the concretization of that terminator. Additionally, for conditional terminators, a simple
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- # optimization using post-domination analysis is also performed.
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- function add_control_flow! (concretize:: BitVector , src:: CodeInfo , cfg:: CFG , postdomtree)
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+ # The basic algorithm is based on what was proposed in [^Wei84]. If there is even one active
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+ # block in the blocks reachable from a conditional branch up to its successors' nearest
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+ # common post-dominator (referred to as **INFL** in the paper), it is necessary to follow
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+ # that conditional branch and execute the code. Otherwise, execution can be short-circuited
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+ # from the conditional branch to the nearest common post-dominator.
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+ #
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+ # COMBAK: It is important to note that in Julia's intermediate code representation (`CodeInfo`),
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+ # "short-circuiting" a specific code region is not a simple task. Simply ignoring the path
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+ # to the post-dominator does not guarantee fall-through to the post-dominator. Therefore,
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+ # a more careful implementation is required for this aspect.
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+ #
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+ # [Wei84]: M. Weiser, "Program Slicing," IEEE Transactions on Software Engineering, 10, pages 352-357, July 1984.
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+ function add_control_flow! (concretize:: BitVector , src:: CodeInfo , cfg:: CFG , domtree, postdomtree)
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local changed:: Bool = false
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function mark_concretize! (idx:: Int )
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if ! concretize[idx]
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- concretize[idx] = true
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+ changed |= concretize[idx] = true
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return true
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end
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return false
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end
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- nblocks = length (cfg. blocks)
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- for bbidx = 1 : nblocks
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- bb = cfg. blocks[bbidx] # forward traversal
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+ for bbidx = 1 : length (cfg. blocks) # forward traversal
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+ bb = cfg. blocks[bbidx]
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nsuccs = length (bb. succs)
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if nsuccs == 0
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continue
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elseif nsuccs == 1
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- terminator_idx = bb. stmts[end ]
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- if src. code[terminator_idx] isa GotoNode
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- # If the destination of this `GotoNode` is not active, it's fine to ignore
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- # the control flow caused by this `GotoNode` and treat it as a fall-through.
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- # If the block that is fallen through to is active and has a dependency on
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- # this goto block, then the concretization of this goto block should already
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- # be requested (at some point of the higher concretization convergence cycle
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- # of `select_dependencies`), and thus, this `GotoNode` will be concretized.
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- if any (@view concretize[cfg. blocks[only (bb. succs)]. stmts])
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- changed |= mark_concretize! (terminator_idx)
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+ termidx = bb. stmts[end ]
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+ if src. code[termidx] isa GotoNode
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+ succ = only (bb. succs)
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+ if any (@view concretize[cfg. blocks[succ]. stmts])
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+ dominator = nearest_common_dominator (domtree, bbidx, succ)
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+ if dominator ≠ succ
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+ for blk in reachable_blocks (cfg, dominator, succ)
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+ if blk == dominator || blk == succ
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+ continue
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+ end
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+ if any (@view concretize[cfg. blocks[blk]. stmts])
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+ mark_concretize! (termidx)
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+ break
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+ end
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+ end
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+ else
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+ mark_concretize! (termidx)
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+ end
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end
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end
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+ continue # we can just fall-through
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elseif nsuccs == 2
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- terminator_idx = bb. stmts[end ]
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- @assert is_conditional_terminator (src. code[terminator_idx ]) " invalid IR"
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+ termidx = bb. stmts[end ]
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+ @assert is_conditional_terminator (src. code[termidx ]) " invalid IR"
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succ1, succ2 = bb. succs
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- succ1_req = any (@view concretize[cfg. blocks[succ1]. stmts])
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- succ2_req = any (@view concretize[cfg. blocks[succ2]. stmts])
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- if succ1_req
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- if succ2_req
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- changed |= mark_concretize! (terminator_idx)
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- else
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- active_bb, inactive_bb = succ1, succ2
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- @goto asymmetric_case
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+ postdominator = nearest_common_dominator (postdomtree, succ1, succ2)
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+ inflblks = reachable_blocks (cfg, succ1, postdominator) ∪ reachable_blocks (cfg, succ2, postdominator)
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+ for blk in inflblks
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+ if blk == postdominator
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+ continue
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end
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- elseif succ2_req
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- active_bb, inactive_bb = succ2, succ1
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- @label asymmetric_case
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- # We can ignore the control flow of this conditional terminator and treat
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- # it as a fall-through if only one of its successors is active and the
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- # active block post-dominates the inactive one, since the post-domination
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- # ensures that the active basic block will be reached regardless of the
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- # control flow.
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- if CC. postdominates (postdomtree, active_bb, inactive_bb)
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- # fall through this block
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- else
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- changed |= mark_concretize! (terminator_idx)
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+ if any (@view concretize[cfg. blocks[blk]. stmts])
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+ mark_concretize! (termidx)
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+ break
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end
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- else
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- # both successors are inactive, just fall through this block
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end
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+ # we can just fall-through to the post dominator block (by ignoring all statements between)
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end
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end
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return changed
@@ -1242,6 +1245,25 @@ end
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is_conditional_terminator (@nospecialize stmt) = stmt isa GotoIfNot ||
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(@static @isdefined (EnterNode) ? stmt isa EnterNode : isexpr (stmt, :enter ))
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+ function reachable_blocks (cfg:: CFG , from_bb:: Int , to_bb:: Int )
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+ worklist = Int[from_bb]
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+ visited = BitSet (from_bb)
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+ if to_bb == from_bb
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+ return visited
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+ end
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+ push! (visited, to_bb)
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+ function visit! (bb:: Int )
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+ if bb ∉ visited
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+ push! (visited, bb)
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+ push! (worklist, bb)
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+ end
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+ end
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+ while ! isempty (worklist)
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+ foreach (visit!, cfg. blocks[pop! (worklist)]. succs)
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+ end
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+ return visited
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+ end
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+
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function add_required_inplace! (concretize:: BitVector , src:: CodeInfo , edges, cl)
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changed = false
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for i = 1 : length (src. code)
@@ -1272,27 +1294,42 @@ function is_arg_requested(@nospecialize(arg), concretize, edges, cl)
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return false
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end
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+ # The purpose of this function is to find other statements that affect the execution of the
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+ # statements choosen by `select_direct_dependencies!`. In other words, it extracts the
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+ # minimal amount of code necessary to realize the required concretization.
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+ # This technique is generally referred to as "program slicing," and specifically as
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+ # "static program slicing". The basic algorithm implemented here is an extension of the one
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+ # proposed in https://dl.acm.org/doi/10.5555/800078.802557, which is especially tuned for
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+ # Julia's intermediate code representation.
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function select_dependencies! (concretize:: BitVector , src:: CodeInfo , edges, cl)
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typedefs = LoweredCodeUtils. find_typedefs (src)
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- cfg = CC. compute_basic_blocks (src. code)
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- postdomtree = CC. construct_postdomtree (cfg. blocks)
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+ cfg = compute_basic_blocks (src. code)
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+ domtree = construct_domtree (cfg. blocks)
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+ postdomtree = construct_postdomtree (cfg. blocks)
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while true
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changed = false
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- # discover struct/method definitions at the beginning,
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- # and propagate the definition requirements by tracking SSA precedessors
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+ # Discover Dtruct/method definitions at the beginning,
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+ # and propagate the definition requirements by tracking SSA precedessors.
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+ # (TODO maybe hoist this out of the loop?)
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changed |= LoweredCodeUtils. add_typedefs! (concretize, src, edges, typedefs, ())
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changed |= add_ssa_preds! (concretize, src, edges, ())
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- # mark some common inplace operations like `push!(x, ...)` and `setindex!(x, ...)`
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- # when `x` has been marked already: otherwise we may end up using it with invalid state
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+ # Mark some common inplace operations like `push!(x, ...)` and `setindex!(x, ...)`
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+ # when `x` has been marked already: otherwise we may end up using it with invalid state.
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+ # However, note that this is an incomplete approach, and note that the slice created
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+ # by this routine will not be sound because of this. This is because
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+ # `add_required_inplace!` only requires certain special-cased function calls and
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+ # does not take into account the possibility that arguments may be mutated in
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+ # arbitrary function calls. Ideally, function calls should be required while
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+ # considering the effects of these statements, or by some sort of an
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+ # inter-procedural program slicing
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changed |= add_required_inplace! (concretize, src, edges, cl)
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changed |= add_ssa_preds! (concretize, src, edges, ())
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- # mark necessary control flows,
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- # and propagate the definition requirements by tracking SSA precedessors
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- changed |= add_control_flow! (concretize, src, cfg, postdomtree)
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+ # Mark necessary control flows.
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+ changed |= add_control_flow! (concretize, src, cfg, domtree, postdomtree)
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changed |= add_ssa_preds! (concretize, src, edges, ())
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changed || break
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