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authorBjörn Gustavsson <[email protected]>2018-02-01 08:33:10 +0100
committerBjörn Gustavsson <[email protected]>2018-08-24 09:57:06 +0200
commit6bee2ac7d11668888d93ec4f93730bcae3e5fa79 (patch)
treedf6c6be429ccacfa9c1cf7ea07f890892f73b461 /lib/compiler/src/beam_ssa_pre_codegen.erl
parent004257f6fc1ea9efea1c99a93211e2f39b1d14ad (diff)
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Introduce a new SSA-based intermediate format
v3_codegen is replaced by three new passes: * beam_kernel_to_ssa which translates the Kernel Erlang format to a new SSA-based intermediate format. * beam_ssa_pre_codegen which prepares the SSA-based format for code generation, including register allocation. Registers are allocated using the linear scan algorithm. * beam_ssa_codegen which generates BEAM assembly code from the SSA-based format. It easier and more effective to optimize the SSA-based format before X and Y registers have been assigned. The current optimization passes constantly have to make sure no "holes" in the X register assignments are created (that is, that no X register becomes undefined that an allocation instruction depends on). This commit also introduces the following optimizations: * Replacing of tuple matching of records with the is_tagged_tuple instruction. (Replacing beam_record.) * Sinking of get_tuple_element instructions to just before the first use of the extracted values. As well as potentially avoiding extracting tuple elements when they are not actually used on all executions paths, this optimization could also reduce the number values that will need to be stored in Y registers. (Similar to beam_reorder, but more effective.) * Live optimizations, removing the definition of a variable that is not subsequently used (provided that the operation has no side effects), as well strength reduction of binary matching by replacing the extraction of value from a binary with a skip instruction. (Used to be done by beam_block, beam_utils, and v3_codegen.) * Removal of redundant bs_restore2 instructions. (Formerly done by beam_bs.) * Type-based optimizations across branches. More effective than the old beam_type pass that only did type-based optimizations in basic blocks. * Optimization of floating point instructions. (Formerly done by beam_type.) * Optimization of receive statements to introduce recv_mark and recv_set instructions. More effective with far fewer restrictions on what instructions are allowed between creating the reference and entering the receive statement. * Common subexpression elimination. (Formerly done by beam_block.)
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+%%
+%% %CopyrightBegin%
+%%
+%% Copyright Ericsson AB 2018. All Rights Reserved.
+%%
+%% Licensed under the Apache License, Version 2.0 (the "License");
+%% you may not use this file except in compliance with the License.
+%% You may obtain a copy of the License at
+%%
+%% http://www.apache.org/licenses/LICENSE-2.0
+%%
+%% Unless required by applicable law or agreed to in writing, software
+%% distributed under the License is distributed on an "AS IS" BASIS,
+%% WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+%% See the License for the specific language governing permissions and
+%% limitations under the License.
+%%
+%% %CopyrightEnd%
+%%
+%% Purpose: Prepare for code generation, including register allocation.
+%%
+%% The output of this compiler pass is still in the SSA format, but
+%% it has been annotated and transformed to help the code generator.
+%%
+%% * Some instructions are translated to other instructions closer to
+%% the BEAM instructions. For example, the put_tuple instruction is
+%% broken apart into the put_tuple_arity and put_tuple_elements
+%% instructions. Similary, the binary matching instructions are
+%% transformed from the optimization-friendly internal format to
+%% instruction more similar to the actual BEAM instructions.
+%%
+%% * Blocks that will need an instruction for allocating a stack frame
+%% are annotated with a {frame_size,Size} annotation.
+%%
+%% * 'copy' instructions are added for all variables that need
+%% to be saved to the stack frame. Additional 'copy' instructions
+%% can be added as an optimization to reuse y registers (see
+%% the copy_retval sub pass).
+%%
+%% * Each function is annotated with a {register,RegisterMap}
+%% annotation that maps each variable to a BEAM register. The linear
+%% scan algorithm is used to allocate registers.
+%%
+%% There are four kind of registers. x, y, fr (floating point register),
+%% and z. A variable will be allocated to a z register if it is only
+%% used by the instruction following the instruction that defines the
+%% the variable. The code generator will typically combine those
+%% instructions to a test instruction. z registers are also used for
+%% some instructions that don't have a return value.
+%%
+%% References:
+%%
+%% [1] H. Mössenböck and M. Pfeiffer. Linear scan register allocation
+%% in the context of SSA form and register constraints. In Proceedings
+%% of the International Conference on Compiler Construction, pages
+%% 229–246. LNCS 2304, Springer-Verlag, 2002.
+%%
+%% [2] C. Wimmer and H. Mössenböck. Optimized interval splitting in a
+%% linear scan register allocator. In Proceedings of the ACM/USENIX
+%% International Conference on Virtual Execution Environments, pages
+%% 132–141. ACM Press, 2005.
+%%
+%% [3] C. Wimmer and M. Franz. Linear Scan Register Allocation on SSA
+%% Form. In Proceedings of the International Symposium on Code
+%% Generation and Optimization, pages 170-179. ACM Press, 2010.
+%%
+
+-module(beam_ssa_pre_codegen).
+
+-export([module/2]).
+
+-include("beam_ssa.hrl").
+
+-import(lists, [all/2,any/2,append/1,duplicate/2,
+ foldl/3,last/1,map/2,member/2,partition/2,
+ reverse/1,reverse/2,sort/1,zip/2]).
+
+-spec module(beam_ssa:b_module(), [compile:option()]) ->
+ {'ok',beam_ssa:b_module()}.
+
+module(#b_module{body=Fs0}=Module, Opts) ->
+ ExtraAnnos = proplists:get_bool(dprecg, Opts),
+ Ps = passes(ExtraAnnos),
+ Fs = functions(Fs0, Ps),
+ {ok,Module#b_module{body=Fs}}.
+
+functions([F|Fs], Ps) ->
+ [function(F, Ps)|functions(Fs, Ps)];
+functions([], _Ps) -> [].
+
+-type b_var() :: beam_ssa:b_var().
+-type var_name() :: beam_ssa:var_name().
+-type instr_number() :: pos_integer().
+-type range() :: {instr_number(),instr_number()}.
+-type reg_num() :: beam_asm:reg_num().
+-type xreg() :: {'x',reg_num()}.
+-type yreg() :: {'y',reg_num()}.
+-type ypool() :: {'y',beam_ssa:label()}.
+-type reservation() :: 'fr' | {'prefer',xreg()} | 'x' | {'x',xreg()} |
+ ypool() | {yreg(),ypool()} | 'z'.
+-type ssa_register() :: beam_ssa_codegen:ssa_register().
+
+-define(TC(Body), tc(fun() -> Body end, ?FILE, ?LINE)).
+-record(st, {ssa :: beam_ssa:block_map(),
+ args :: [b_var()],
+ cnt :: beam_ssa:label(),
+ frames=[] :: [beam_ssa:label()],
+ intervals=[] :: [{b_var(),[range()]}],
+ aliases=[] :: [{b_var(),b_var()}],
+ res=[] :: [{b_var(),reservation()}] | #{b_var():=reservation()},
+ regs=#{} :: #{b_var():=ssa_register()},
+ extra_annos=[] :: [{atom(),term()}]
+ }).
+-define(PASS(N), {N,fun N/1}).
+
+passes(ExtraAnnos) ->
+ Ps = [?PASS(assert_no_critical_edges),
+
+ %% Preliminaries.
+ ?PASS(fix_bs),
+ ?PASS(sanitize),
+ ?PASS(fix_tuples),
+ ?PASS(place_frames),
+ ?PASS(fix_receives),
+
+ %% Find and reserve Y registers.
+ ?PASS(find_yregs),
+ ?PASS(reserve_yregs),
+
+ %% Improve reuse of Y registers to potentially
+ %% reduce the size of the stack frame.
+ ?PASS(copy_retval),
+ ?PASS(opt_get_list),
+
+ %% Calculate live intervals.
+ ?PASS(number_instructions),
+ ?PASS(live_intervals),
+ ?PASS(remove_unsuitable_aliases),
+ ?PASS(reserve_regs),
+ ?PASS(merge_intervals),
+
+ %% If needed for a .precg file, save the live intervals
+ %% so they can be included in an annotation.
+ case ExtraAnnos of
+ false -> ignore;
+ true -> ?PASS(save_live_intervals)
+ end,
+
+ %% Allocate registers.
+ ?PASS(linear_scan),
+ ?PASS(fix_aliased_regs),
+ ?PASS(frame_size),
+ ?PASS(turn_yregs)],
+ case ExtraAnnos of
+ false -> [P || P <- Ps, P =/= ignore];
+ true -> Ps
+ end.
+
+function(#b_function{anno=Anno,args=Args,bs=Blocks0,cnt=Count0}=F0, Ps) ->
+ try
+ St0 = #st{ssa=Blocks0,args=Args,cnt=Count0},
+ St = compile:run_sub_passes(Ps, St0),
+ #st{ssa=Blocks,cnt=Count,regs=Regs,extra_annos=ExtraAnnos} = St,
+ F1 = add_extra_annos(F0, ExtraAnnos),
+ F = beam_ssa:add_anno(registers, Regs, F1),
+ F#b_function{bs=Blocks,cnt=Count}
+ catch
+ Class:Error:Stack ->
+ #{func_info:={_,Name,Arity}} = Anno,
+ io:fwrite("Function: ~w/~w\n", [Name,Arity]),
+ erlang:raise(Class, Error, Stack)
+ end.
+
+save_live_intervals(#st{intervals=Intervals}=St) ->
+ St#st{extra_annos=[{live_intervals,Intervals}]}.
+
+fix_aliased_regs(#st{aliases=Aliases,regs=Regs}=St) ->
+ St#st{regs=fix_aliased_regs(Aliases, Regs)}.
+
+fix_aliased_regs([{Alias,V}|Aliases], Regs) ->
+ #{V:=Reg} = Regs,
+ fix_aliased_regs(Aliases, Regs#{Alias=>Reg});
+fix_aliased_regs([], Regs) -> Regs.
+
+%% Add extra annotations when a .precg listing file is being produced.
+add_extra_annos(F, Annos) ->
+ foldl(fun({Name,Value}, Acc) ->
+ beam_ssa:add_anno(Name, Value, Acc)
+ end, F, Annos).
+
+%% assert_no_critical_edges(St0) -> St.
+%% The code generator will not work if there are critial edges.
+%% Abort if any critical edges are found.
+
+assert_no_critical_edges(#st{ssa=Blocks}=St) ->
+ F = fun assert_no_ces/3,
+ beam_ssa:fold_rpo(F, Blocks, Blocks),
+ St.
+
+assert_no_ces(_, #b_blk{is=[#b_set{op=phi,args=[_,_]=Phis}|_]}, Blocks) ->
+ %% This block has multiple predecessors. Make sure that none
+ %% of the precessors have more than one successor.
+ true = all(fun({_,P}) ->
+ length(beam_ssa:successors(P, Blocks)) =:= 1
+ end, Phis), %Assertion.
+ Blocks;
+assert_no_ces(_, _, Blocks) -> Blocks.
+
+%% fix_bs(St0) -> St.
+%% Fix up the binary matching instructions:
+%%
+%% * Insert bs_save and bs_restore instructions where needed.
+%%
+%% * Combine bs_match and bs_extract instructions to bs_get
+%% instructions.
+
+fix_bs(#st{ssa=Blocks,cnt=Count0}=St) ->
+ F = fun(#b_set{op=bs_start_match,dst=Dst}, A) ->
+ %% Mark the root of the match context list.
+ [{Dst,{context,Dst}}|A];
+ (#b_set{op=bs_match,dst=Dst,args=[_,ParentCtx|_]}, A) ->
+ %% Link this match context the previous match context.
+ [{Dst,ParentCtx}|A];
+ (_, A) ->
+ A
+ end,
+ case beam_ssa:fold_instrs_rpo(F, [0], [],Blocks) of
+ [] ->
+ %% No binary matching in this function.
+ St;
+ [_|_]=M ->
+ CtxChain = maps:from_list(M),
+ Linear0 = beam_ssa:linearize(Blocks),
+
+ %% Insert bs_save / bs_restore instructions where needed.
+ {Linear1,Count} = bs_save_restore(Linear0, CtxChain, Count0),
+
+ %% Rename instructions.
+ Linear = bs_instrs(Linear1, CtxChain, []),
+
+ St#st{ssa=maps:from_list(Linear),cnt=Count}
+ end.
+
+
+%% Insert bs_save and bs_restore instructions as needed.
+
+bs_save_restore(Linear0, CtxChain, Count0) ->
+ Rs0 = bs_restores(Linear0, CtxChain, #{}, #{}),
+ Rs = maps:values(Rs0),
+ S0 = sofs:relation(Rs, [{context,save_point}]),
+ S1 = sofs:relation_to_family(S0),
+ S = sofs:to_external(S1),
+ Slots = make_save_point_dict(S, []),
+ {Saves,Count1} = make_save_map(Rs, Slots, Count0, []),
+ {Restores,Count} = make_restore_map(maps:to_list(Rs0), Slots, Count1, []),
+
+ %% Now insert all saves and restores.
+ {bs_insert(Linear0, Saves, Restores, Slots),Count}.
+
+make_save_map([{Ctx,Save}=Ps|T], Slots, Count, Acc) ->
+ Ignored = #b_var{name={'@ssa_ignored',Count}},
+ case make_slot(Ps, Slots) of
+ #b_literal{val=start} ->
+ make_save_map(T, Slots, Count, Acc);
+ Slot ->
+ I = #b_set{op=bs_save,dst=Ignored,args=[Ctx,Slot]},
+ make_save_map(T, Slots, Count+1, [{Save,I}|Acc])
+ end;
+make_save_map([], _, Count, Acc) ->
+ {maps:from_list(Acc),Count}.
+
+make_restore_map([{Bef,{Ctx,_}=Ps}|T], Slots, Count, Acc) ->
+ Ignored = #b_var{name={'@ssa_ignored',Count}},
+ I = #b_set{op=bs_restore,dst=Ignored,args=[Ctx,make_slot(Ps, Slots)]},
+ make_restore_map(T, Slots, Count+1, [{Bef,I}|Acc]);
+make_restore_map([], _, Count, Acc) ->
+ {maps:from_list(Acc),Count}.
+
+make_slot({Same,Same}, _Slots) ->
+ #b_literal{val=start};
+make_slot({_,_}=Ps, Slots) ->
+ #b_literal{val=maps:get(Ps, Slots)}.
+
+make_save_point_dict([{Ctx,Pts}|T], Acc0) ->
+ Acc = make_save_point_dict_1(Pts, Ctx, 0, Acc0),
+ make_save_point_dict(T, Acc);
+make_save_point_dict([], Acc) ->
+ maps:from_list(Acc).
+
+make_save_point_dict_1([Ctx|T], Ctx, I, Acc) ->
+ %% Special {atom,start} save point. Does not need a
+ %% bs_save instruction.
+ make_save_point_dict_1(T, Ctx, I, Acc);
+make_save_point_dict_1([H|T], Ctx, I, Acc) ->
+ make_save_point_dict_1(T, Ctx, I+1, [{{Ctx,H},I}|Acc]);
+make_save_point_dict_1([], Ctx, I, Acc) ->
+ [{Ctx,I}|Acc].
+
+bs_restores([{L,#b_blk{is=Is,last=Last}}|Bs], CtxChain, D0, Rs0) ->
+ FPos = case D0 of
+ #{L:=Pos0} -> Pos0;
+ #{} -> #{}
+ end,
+ {SPos,Rs} = bs_restores_is(Is, CtxChain, FPos, Rs0),
+ D = bs_update_successors(Last, SPos, FPos, D0),
+ bs_restores(Bs, CtxChain, D, Rs);
+bs_restores([], _, _, Rs) -> Rs.
+
+bs_update_successors(#b_br{succ=Succ,fail=Fail}, SPos, FPos, D) ->
+ join_positions([{Succ,SPos},{Fail,FPos}], D);
+bs_update_successors(#b_switch{fail=Fail,list=List}, SPos, FPos, D) ->
+ SPos = FPos, %Assertion.
+ Update = [{L,SPos} || {_,L} <- List] ++ [{Fail,SPos}],
+ join_positions(Update, D);
+bs_update_successors(#b_ret{}, _, _, D) -> D.
+
+join_positions([{L,MapPos0}|T], D) ->
+ case D of
+ #{L:=MapPos0} ->
+ %% Same map.
+ join_positions(T, D);
+ #{L:=MapPos1} ->
+ %% Different maps.
+ MapPos = join_positions_1(MapPos0, MapPos1),
+ join_positions(T, D#{L:=MapPos});
+ #{} ->
+ join_positions(T, D#{L=>MapPos0})
+ end;
+join_positions([], D) -> D.
+
+join_positions_1(MapPos0, MapPos1) ->
+ MapPos2 = maps:map(fun(Start, Pos) ->
+ case MapPos0 of
+ #{Start:=Pos} -> Pos;
+ #{Start:=_} -> unknown;
+ #{} -> Pos
+ end
+ end, MapPos1),
+ maps:merge(MapPos0, MapPos2).
+
+bs_restores_is([#b_set{op=bs_start_match,dst=Start}|Is],
+ CtxChain, PosMap0, Rs) ->
+ PosMap = PosMap0#{Start=>Start},
+ bs_restores_is(Is, CtxChain, PosMap, Rs);
+bs_restores_is([#b_set{op=bs_match,dst=NewPos,args=Args}=I|Is],
+ CtxChain, PosMap0, Rs0) ->
+ Start = bs_subst_ctx(NewPos, CtxChain),
+ [_,FromPos|_] = Args,
+ case PosMap0 of
+ #{Start:=FromPos} ->
+ %% Same position, no restore needed.
+ PosMap = case bs_match_type(I) of
+ plain ->
+ %% Update position to new position.
+ PosMap0#{Start:=NewPos};
+ _ ->
+ %% Position will not change (test_unit
+ %% instruction or no instruction at
+ %% all).
+ PosMap0#{Start:=FromPos}
+ end,
+ bs_restores_is(Is, CtxChain, PosMap, Rs0);
+ #{Start:=_} ->
+ %% Different positions, might need a restore instruction.
+ case bs_match_type(I) of
+ none ->
+ %% The tail test will be optimized away.
+ %% No need to do a restore.
+ PosMap = PosMap0#{Start:=FromPos},
+ bs_restores_is(Is, CtxChain, PosMap, Rs0);
+ test_unit ->
+ %% This match instruction will be replaced by
+ %% a test_unit instruction. We will need a
+ %% restore. The new position will be the position
+ %% restored to (NOT NewPos).
+ PosMap = PosMap0#{Start:=FromPos},
+ Rs = Rs0#{NewPos=>{Start,FromPos}},
+ bs_restores_is(Is, CtxChain, PosMap, Rs);
+ plain ->
+ %% Match or skip. Position will be changed.
+ PosMap = PosMap0#{Start:=NewPos},
+ Rs = Rs0#{NewPos=>{Start,FromPos}},
+ bs_restores_is(Is, CtxChain, PosMap, Rs)
+ end
+ end;
+bs_restores_is([#b_set{op=bs_extract,args=[FromPos|_]}|Is],
+ CtxChain, PosMap, Rs) ->
+ Start = bs_subst_ctx(FromPos, CtxChain),
+ #{Start:=FromPos} = PosMap, %Assertion.
+ bs_restores_is(Is, CtxChain, PosMap, Rs);
+bs_restores_is([#b_set{op=Op,dst=Dst,args=Args}|Is],
+ CtxChain, PosMap0, Rs0)
+ when Op =:= bs_test_tail;
+ Op =:= call ->
+ {Rs,PosMap} = bs_restore_args(Args, PosMap0, CtxChain, Dst, Rs0),
+ bs_restores_is(Is, CtxChain, PosMap, Rs);
+bs_restores_is([_|Is], CtxChain, PosMap, Rs) ->
+ bs_restores_is(Is, CtxChain, PosMap, Rs);
+bs_restores_is([], _CtxChain, PosMap, Rs) ->
+ {PosMap,Rs}.
+
+
+bs_match_type(#b_set{args=[#b_literal{val=skip},_Ctx,
+ #b_literal{val=binary},_Flags,
+ #b_literal{val=all},#b_literal{val=U}]}) ->
+ case U of
+ 1 -> none;
+ _ -> test_unit
+ end;
+bs_match_type(_) ->
+ plain.
+
+bs_restore_args([#b_var{}=Arg|Args], PosMap0, CtxChain, Dst, Rs0) ->
+ Start = bs_subst_ctx(Arg, CtxChain),
+ case PosMap0 of
+ #{Start:=Arg} ->
+ %% Same position, no restore needed.
+ bs_restore_args(Args, PosMap0, CtxChain, Dst, Rs0);
+ #{Start:=_} ->
+ %% Different positions, need a restore instruction.
+ PosMap = PosMap0#{Start:=Arg},
+ Rs = Rs0#{Dst=>{Start,Arg}},
+ bs_restore_args(Args, PosMap, CtxChain, Dst, Rs);
+ #{} ->
+ %% Not a match context.
+ bs_restore_args(Args, PosMap0, CtxChain, Dst, Rs0)
+ end;
+bs_restore_args([_|Args], PosMap, CtxChain, Dst, Rs) ->
+ bs_restore_args(Args, PosMap, CtxChain, Dst, Rs);
+bs_restore_args([], PosMap, _CtxChain, _Dst, Rs) ->
+ {Rs,PosMap}.
+
+%% Insert all bs_save and bs_restore instructions.
+
+bs_insert([{L,#b_blk{is=Is0}=Blk}|Bs0], Saves, Restores, Slots) ->
+ Is = bs_insert_is_1(Is0, Restores, Slots),
+ Bs = bs_insert_saves(Is, Bs0, Saves),
+ [{L,Blk#b_blk{is=Is}}|bs_insert(Bs, Saves, Restores, Slots)];
+bs_insert([], _, _, _) -> [].
+
+bs_insert_is_1([#b_set{op=Op,dst=Dst}=I0|Is], Restores, Slots) ->
+ if
+ Op =:= bs_test_tail;
+ Op =:= bs_match;
+ Op =:= call ->
+ Rs = case Restores of
+ #{Dst:=R} -> [R];
+ #{} -> []
+ end,
+ Rs ++ [I0|bs_insert_is_1(Is, Restores, Slots)];
+ Op =:= bs_start_match ->
+ NumSlots = case Slots of
+ #{Dst:=NumSlots0} -> NumSlots0;
+ #{} -> 0
+ end,
+ I = beam_ssa:add_anno(num_slots, NumSlots, I0),
+ [I|bs_insert_is_1(Is, Restores, Slots)];
+ true ->
+ [I0|bs_insert_is_1(Is, Restores, Slots)]
+ end;
+bs_insert_is_1([], _, _) -> [].
+
+bs_insert_saves([#b_set{dst=Dst}|Is], Bs, Saves) ->
+ case Saves of
+ #{Dst:=S} ->
+ bs_insert_save(S, Bs);
+ #{} ->
+ bs_insert_saves(Is, Bs, Saves)
+ end;
+bs_insert_saves([], Bs, _) -> Bs.
+
+bs_insert_save(Save, [{L,#b_blk{is=Is0}=Blk}|Bs]) ->
+ Is = case Is0 of
+ [#b_set{op=bs_extract}=Ex|Is1] ->
+ [Ex,Save|Is1];
+ _ ->
+ [Save|Is0]
+ end,
+ [{L,Blk#b_blk{is=Is}}|Bs].
+
+%% Translate bs_match instructions to bs_get, bs_match_string,
+%% or bs_skip. Also rename match context variables to use the
+%% variable assigned to by the start_match instruction.
+
+bs_instrs([{L,#b_blk{is=Is0}=Blk}|Bs], CtxChain, Acc0) ->
+ case bs_instrs_is(Is0, CtxChain, []) of
+ [#b_set{op=bs_extract,dst=Dst,args=[Ctx]}|Is] ->
+ %% Drop this instruction. Rewrite the corresponding
+ %% bs_match instruction in the previous block to
+ %% a bs_get instruction.
+ Acc = bs_combine(Dst, Ctx, Acc0),
+ bs_instrs(Bs, CtxChain, [{L,Blk#b_blk{is=Is}}|Acc]);
+ Is ->
+ bs_instrs(Bs, CtxChain, [{L,Blk#b_blk{is=Is}}|Acc0])
+ end;
+bs_instrs([], _, Acc) ->
+ reverse(Acc).
+
+bs_instrs_is([#b_set{op=Op,args=Args0}=I0|Is], CtxChain, Acc) ->
+ Args = [bs_subst_ctx(A, CtxChain) || A <- Args0],
+ I1 = I0#b_set{args=Args},
+ I = case {Op,Args} of
+ {bs_match,[#b_literal{val=skip},Ctx,Type|As]} ->
+ I1#b_set{op=bs_skip,args=[Type,Ctx|As]};
+ {bs_match,[#b_literal{val=string},Ctx|As]} ->
+ I1#b_set{op=bs_match_string,args=[Ctx|As]};
+ {_,_} ->
+ I1
+ end,
+ bs_instrs_is(Is, CtxChain, [I|Acc]);
+bs_instrs_is([], _, Acc) ->
+ reverse(Acc).
+
+%% Combine a bs_match instruction with the destination register
+%% taken from a bs_extract instruction.
+
+bs_combine(Dst, Ctx, [{L,#b_blk{is=Is0}=Blk}|Acc]) ->
+ [#b_set{}=Succeeded,
+ #b_set{op=bs_match,args=[Type,_|As]}=BsMatch|Is1] = reverse(Is0),
+ Is = reverse(Is1, [BsMatch#b_set{op=bs_get,dst=Dst,args=[Type,Ctx|As]},
+ Succeeded#b_set{args=[Dst]}]),
+ [{L,Blk#b_blk{is=Is}}|Acc].
+
+bs_subst_ctx(#b_var{}=Var, CtxChain) ->
+ case CtxChain of
+ #{Var:={context,Ctx}} ->
+ Ctx;
+ #{Var:=ParentCtx} ->
+ bs_subst_ctx(ParentCtx, CtxChain);
+ #{} ->
+ %% Not a match context variable.
+ Var
+ end;
+bs_subst_ctx(Other, _CtxChain) ->
+ Other.
+
+%% sanitize(St0) -> St.
+%% Remove constructs that can cause problems later:
+%%
+%% * Unreachable blocks may cause problems for determination of
+%% dominators.
+%%
+%% * Some instructions (such as get_hd) don't accept literal
+%% arguments. Evaluate the instructions and remove them.
+
+sanitize(#st{ssa=Blocks0,cnt=Count0}=St) ->
+ Ls = beam_ssa:rpo(Blocks0),
+ {Blocks,Count} = sanitize(Ls, Count0, Blocks0, #{}),
+ St#st{ssa=Blocks,cnt=Count}.
+
+sanitize([L|Ls], Count0, Blocks0, Values0) ->
+ #b_blk{is=Is0} = Blk0 = maps:get(L, Blocks0),
+ case sanitize_is(Is0, Count0, Values0, false, []) of
+ no_change ->
+ sanitize(Ls, Count0, Blocks0, Values0);
+ {Is,Count,Values} ->
+ Blk = Blk0#b_blk{is=Is},
+ Blocks = Blocks0#{L:=Blk},
+ sanitize(Ls, Count, Blocks, Values)
+ end;
+sanitize([], Count, Blocks0, Values) ->
+ Blocks = if
+ map_size(Values) =:= 0 ->
+ Blocks0;
+ true ->
+ beam_ssa:rename_vars(Values, [0], Blocks0)
+ end,
+
+ %% Unreachable blocks can cause problems for the dominator calculations.
+ Ls = beam_ssa:rpo(Blocks),
+ Reachable = gb_sets:from_list(Ls),
+ {case map_size(Blocks) =:= gb_sets:size(Reachable) of
+ true -> Blocks;
+ false -> remove_unreachable(Ls, Blocks, Reachable, [])
+ end,Count}.
+
+sanitize_is([#b_set{op=get_map_element,
+ args=[#b_literal{}=Map,Key]}=I0|Is],
+ Count0, Values, _Changed, Acc) ->
+ {MapVarName,Count} = new_var_name('@ssa_map', Count0),
+ MapVar = #b_var{name=MapVarName},
+ I = I0#b_set{args=[MapVar,Key]},
+ Copy = #b_set{op=copy,dst=MapVar,args=[Map]},
+ sanitize_is(Is, Count, Values, true, [I,Copy|Acc]);
+sanitize_is([#b_set{op=Op,dst=#b_var{name=Dst},args=Args0}=I0|Is0],
+ Count, Values, Changed, Acc) ->
+ Args = map(fun(#b_var{name=V}=Var) ->
+ case Values of
+ #{V:=New} -> New;
+ #{} -> Var
+ end;
+ (Lit) -> Lit
+ end, Args0),
+ case sanitize_instr(Op, Args, I0) of
+ {value,Value0} ->
+ Value = #b_literal{val=Value0},
+ sanitize_is(Is0, Count, Values#{Dst=>Value}, true, Acc);
+ {ok,I} ->
+ sanitize_is(Is0, Count, Values, true, [I|Acc]);
+ ok ->
+ sanitize_is(Is0, Count, Values, Changed, [I0|Acc])
+ end;
+sanitize_is([], Count, Values, Changed, Acc) ->
+ case Changed of
+ true ->
+ {reverse(Acc),Count,Values};
+ false ->
+ no_change
+ end.
+
+sanitize_instr({bif,Bif}, [#b_literal{val=Lit}], _I) ->
+ case erl_bifs:is_pure(erlang, Bif, 1) of
+ false ->
+ ok;
+ true ->
+ try
+ {value,erlang:Bif(Lit)}
+ catch
+ error:_ ->
+ ok
+ end
+ end;
+sanitize_instr({bif,Bif}, [#b_literal{val=Lit1},#b_literal{val=Lit2}], _I) ->
+ true = erl_bifs:is_pure(erlang, Bif, 2), %Assertion.
+ try
+ {value,erlang:Bif(Lit1, Lit2)}
+ catch
+ error:_ ->
+ ok
+ end;
+sanitize_instr(get_hd, [#b_literal{val=[Hd|_]}], _I) ->
+ {value,Hd};
+sanitize_instr(get_tl, [#b_literal{val=[_|Tl]}], _I) ->
+ {value,Tl};
+sanitize_instr(get_tuple_element, [#b_literal{val=T},
+ #b_literal{val=I}], _I)
+ when I < tuple_size(T) ->
+ {value,element(I+1, T)};
+sanitize_instr(is_nonempty_list, [#b_literal{val=Lit}], _I) ->
+ {value,case Lit of
+ [_|_] -> true;
+ _ -> false
+ end};
+sanitize_instr(is_tagged_tuple, [#b_literal{val=Tuple},
+ #b_literal{val=Arity},
+ #b_literal{val=Tag}], _I)
+ when is_integer(Arity), is_atom(Tag) ->
+ if
+ tuple_size(Tuple) =:= Arity, element(1, Tuple) =:= Tag ->
+ {value,true};
+ true ->
+ {value,false}
+ end;
+sanitize_instr(bs_init, [#b_literal{val=new},#b_literal{val=Sz}|_], I0) ->
+ if
+ is_integer(Sz), Sz >= 0 -> ok;
+ true -> {ok,sanitize_badarg(I0)}
+ end;
+sanitize_instr(bs_init, [#b_literal{val=append},_,#b_literal{val=Sz}|_], I0) ->
+ if
+ is_integer(Sz), Sz >= 0 -> ok;
+ true -> {ok,sanitize_badarg(I0)}
+ end;
+sanitize_instr(succeeded, [#b_literal{}], _I) ->
+ {value,true};
+sanitize_instr(_, _, _) -> ok.
+
+sanitize_badarg(I) ->
+ Func = #b_remote{mod=#b_literal{val=erlang},
+ name=#b_literal{val=error},arity=1},
+ I#b_set{op=call,args=[Func,#b_literal{val=badarg}]}.
+
+remove_unreachable([L|Ls], Blocks, Reachable, Acc) ->
+ #b_blk{is=Is0} = Blk0 = maps:get(L, Blocks),
+ case split_phis(Is0) of
+ {[_|_]=Phis,Rest} ->
+ Is = [prune_phi(Phi, Reachable) || Phi <- Phis] ++ Rest,
+ Blk = Blk0#b_blk{is=Is},
+ remove_unreachable(Ls, Blocks, Reachable, [{L,Blk}|Acc]);
+ {[],_} ->
+ remove_unreachable(Ls, Blocks, Reachable, [{L,Blk0}|Acc])
+ end;
+remove_unreachable([], _Blocks, _, Acc) ->
+ maps:from_list(Acc).
+
+prune_phi(#b_set{args=Args0}=Phi, Reachable) ->
+ Args = [A || {_,Pred}=A <- Args0,
+ gb_sets:is_element(Pred, Reachable)],
+ Phi#b_set{args=Args}.
+
+%%%
+%%% Fix tuples.
+%%%
+
+%% fix_tuples(St0) -> St.
+%% We must split tuple creation into two instruction to mirror the
+%% the way tuples are created in BEAM. Each put_tuple instruction is
+%% split into put_tuple_arity followed by put_tuple_elements.
+
+fix_tuples(#st{ssa=Blocks0,cnt=Count0}=St) ->
+ F = fun (#b_set{op=put_tuple,args=Args}=Put, C0) ->
+ Arity = #b_literal{val=length(Args)},
+ {VarName,C} = new_var_name('@ssa_ignore', C0),
+ Ignore = #b_var{name=VarName},
+ {[Put#b_set{op=put_tuple_arity,args=[Arity]},
+ #b_set{dst=Ignore,op=put_tuple_elements,args=Args}],C};
+ (I, C) -> {[I],C}
+ end,
+ {Blocks,Count} = beam_ssa:flatmapfold_instrs_rpo(F, [0], Count0, Blocks0),
+ St#st{ssa=Blocks,cnt=Count}.
+
+%%%
+%%% Find out where frames should be placed.
+%%%
+
+%% place_frames(St0) -> St.
+%% Return a list of the labels for the blocks that need stack frame
+%% allocation instructions.
+%%
+%% This function attempts to place stack frames as tight as possible
+%% around the code, to avoid building stack frames for code paths
+%% that don't need one.
+%%
+%% Stack frames are placed in blocks that dominate all of their
+%% descendants. That guarantees that the deallocation instructions
+%% cannot be reached from other execution paths that didn't set up
+%% a stack frame or set up a stack frame with a different size.
+
+place_frames(#st{ssa=Blocks}=St) ->
+ Doms = beam_ssa:dominators(Blocks),
+ Ls = beam_ssa:rpo(Blocks),
+ Tried = gb_sets:empty(),
+ Frames0 = [],
+ {Frames,_} = place_frames_1(Ls, Blocks, Doms, Tried, Frames0),
+ St#st{frames=Frames}.
+
+place_frames_1([L|Ls], Blocks, Doms, Tried0, Frames0) ->
+ Blk = maps:get(L, Blocks),
+ case need_frame(Blk) of
+ true ->
+ %% This block needs a frame. Try to place it here.
+ {Frames,Tried} = do_place_frame(L, Blocks, Doms, Tried0, Frames0),
+
+ %% Successfully placed. Try to place more frames in descendants
+ %% that are not dominated by this block.
+ place_frames_1(Ls, Blocks, Doms, Tried, Frames);
+ false ->
+ try
+ place_frames_1(Ls, Blocks, Doms, Tried0, Frames0)
+ catch
+ throw:{need_frame,For,Tried1}=Reason ->
+ %% An descendant block needs a stack frame. Try to
+ %% place it here.
+ case is_dominated_by(For, L, Doms) of
+ true ->
+ %% Try to place a frame here.
+ {Frames,Tried} = do_place_frame(L, Blocks, Doms,
+ Tried1, Frames0),
+ place_frames_1(Ls, Blocks, Doms, Tried, Frames);
+ false ->
+ %% Wrong place. This block does not dominate
+ %% the block that needs the frame. Pass it on
+ %% to our ancestors.
+ throw(Reason)
+ end
+ end
+ end;
+place_frames_1([], _, _, Tried, Frames) ->
+ {Frames,Tried}.
+
+%% do_place_frame(Label, Blocks, Dominators, Tried0, Frames0) -> {Frames,Tried}.
+%% Try to place a frame in this block. This function returns
+%% successfully if it either succeds at placing a frame in this
+%% block, if an ancestor that dominates this block has already placed
+%% a frame, or if we have already tried to put a frame in this block.
+%%
+%% An {need_frame,Label,Tried} exception will be thrown if this block
+%% block is not suitable for having a stack frame (i.e. it does not dominate
+%% all of its descendants). The exception means that an ancestor will have to
+%% place the frame needed by this block.
+
+do_place_frame(L, Blocks, Doms, Tried0, Frames) ->
+ case gb_sets:is_element(L, Tried0) of
+ true ->
+ %% We have already tried to put a frame in this block.
+ {Frames,Tried0};
+ false ->
+ %% Try to place a frame in this block.
+ Tried = gb_sets:insert(L, Tried0),
+ case place_frame_here(L, Blocks, Doms, Frames) of
+ yes ->
+ %% We need a frame and it is safe to place it here.
+ {[L|Frames],Tried};
+ no ->
+ %% An ancestor has a frame. Not needed.
+ {Frames,Tried};
+ ancestor ->
+ %% This block does not dominate all of its
+ %% descendants. We must place the frame in
+ %% an ancestor.
+ throw({need_frame,L,Tried})
+ end
+ end.
+
+%% place_frame_here(Label, Blocks, Doms, Frames) -> no|yes|ancestor.
+%% Determine whether a frame should be placed in block Label.
+
+place_frame_here(L, Blocks, Doms, Frames) ->
+ B0 = any(fun(DomBy) ->
+ is_dominated_by(L, DomBy, Doms)
+ end, Frames),
+ case B0 of
+ true ->
+ %% This block is dominated by an ancestor block that
+ %% defines a frame. Not needed/allowed to put a frame
+ %% here.
+ no;
+ false ->
+ %% No frame in any ancestor. We need a frame.
+ %% Now check whether the frame can be placed here.
+ %% If this block dominates all of its descendants
+ %% and the predecessors of any phi nodes it can be
+ %% placed here.
+ Descendants = beam_ssa:rpo([L], Blocks),
+ PhiPredecessors = phi_predecessors(L, Blocks),
+ MustDominate = ordsets:from_list(PhiPredecessors ++ Descendants),
+ Dominates = all(fun(?BADARG_BLOCK) ->
+ %% This block defines no variables and calls
+ %% erlang:error(badarg). It does not matter
+ %% whether L dominates ?BADARG_BLOCK or not;
+ %% it is still safe to put the frame in L.
+ true;
+ (Bl) ->
+ is_dominated_by(Bl, L, Doms)
+ end, MustDominate),
+
+ %% Also, this block must not be a loop header.
+ IsLoopHeader = is_loop_header(L, Blocks),
+ case Dominates andalso not IsLoopHeader of
+ true -> yes;
+ false -> ancestor
+ end
+ end.
+
+%% phi_predecessors(Label, Blocks) ->
+%% Return all predecessors referenced in phi nodes.
+
+phi_predecessors(L, Blocks) ->
+ #b_blk{is=Is} = maps:get(L, Blocks),
+ [P || #b_set{op=phi,args=Args} <- Is, {_,P} <- Args].
+
+%% is_dominated_by(Label, DominatedBy, Dominators) -> true|false.
+%% Test whether block Label is dominated by block DominatedBy.
+
+is_dominated_by(L, DomBy, Doms) ->
+ DominatedBy = maps:get(L, Doms),
+ ordsets:is_element(DomBy, DominatedBy).
+
+%% need_frame(#b_blk{}) -> true|false.
+%% Test whether any of the instructions in the block requires a stack frame.
+
+need_frame(#b_blk{is=Is,last=#b_ret{arg=Ret}}) ->
+ need_frame_1(Is, {return,Ret});
+need_frame(#b_blk{is=Is}) ->
+ need_frame_1(Is, body).
+
+need_frame_1([#b_set{op=make_fun,dst=#b_var{name=Fun}}|Is], {return,_}=Context) ->
+ %% Since make_fun clobbers X registers, a stack frame is needed if
+ %% any of the following instructions use any other variable than
+ %% the one holding the reference to the created fun.
+ need_frame_1(Is, Context) orelse
+ case beam_ssa:used(#b_blk{is=Is,last=#b_ret{arg=#b_var{name=Fun}}}) of
+ [Fun] -> false;
+ [_|_] -> true
+ end;
+need_frame_1([#b_set{op=new_try_tag}|_], _) ->
+ true;
+need_frame_1([#b_set{op=call,dst=Val}]=Is, {return,Ret}) ->
+ if
+ Val =:= Ret -> need_frame_1(Is, tail);
+ true -> need_frame_1(Is, body)
+ end;
+need_frame_1([#b_set{op=call,args=[Func|_]}|Is], Context) ->
+ case Func of
+ #b_remote{mod=#b_literal{val=Mod},
+ name=#b_literal{val=Name},
+ arity=Arity} ->
+ case erl_bifs:is_exit_bif(Mod, Name, Arity) of
+ true ->
+ false;
+ false ->
+ Context =:= body orelse
+ Is =/= [] orelse
+ is_trap_bif(Mod, Name, Arity)
+ end;
+ #b_remote{} ->
+ %% This is an apply(), which always needs a frame.
+ true;
+ #b_var{} ->
+ %% A fun call always needs a frame.
+ true;
+ _ ->
+ Context =:= body orelse Is =/= []
+ end;
+need_frame_1([I|Is], Context) ->
+ beam_ssa:clobbers_xregs(I) orelse need_frame_1(Is, Context);
+need_frame_1([], _) -> false.
+
+%% is_trap_bif(Mod, Name, Arity) -> true|false.
+%% Test whether we need a stack frame for this BIF.
+
+is_trap_bif(erlang, '!', 2) -> true;
+is_trap_bif(erlang, link, 1) -> true;
+is_trap_bif(erlang, unlink, 1) -> true;
+is_trap_bif(erlang, monitor_node, 2) -> true;
+is_trap_bif(erlang, group_leader, 2) -> true;
+is_trap_bif(erlang, exit, 2) -> true;
+is_trap_bif(_, _, _) -> false.
+
+%%%
+%%% Fix variables used in matching in receive.
+%%%
+%%% The loop_rec/2 instruction may return a reference to a
+%%% message outside of any heap or heap fragment. If the message
+%%% does not match, it is not allowed to store any reference to
+%%% the message (or part of the message) on the stack. If we do,
+%%% the message will be corrupted if there happens to be a GC.
+%%%
+%%% Here we make sure to introduce copies of variables that are
+%%% matched out and subsequently used after the remove_message/0
+%%% instructions. That will make sure that only X registers are
+%%% used during matching.
+%%%
+%%% Depending on where variables are defined and used, they must
+%%% be handling in two different ways.
+%%%
+%%% Variables that are always defined in the receive (before branching
+%%% out into the different clauses of the receive) and used after the
+%%% receive, must be handled in the following way: Before each
+%%% remove_message instruction, each such variable must be copied, and
+%%% all variables must be consolidated using a phi node in the
+%%% common exit block for the receive.
+%%%
+%%% Variables that are matched out and used in the same clause
+%%% need copy instructions before the remove_message instruction
+%%% in that clause.
+%%%
+
+fix_receives(#st{ssa=Blocks0,cnt=Count0}=St) ->
+ {Blocks,Count} = fix_receives_1(maps:to_list(Blocks0),
+ Blocks0, Count0),
+ St#st{ssa=Blocks,cnt=Count}.
+
+fix_receives_1([{L,Blk}|Ls], Blocks0, Count0) ->
+ case Blk of
+ #b_blk{is=[#b_set{op=peek_message}|_]} ->
+ Rm = find_rm_blocks(L, Blocks0),
+ LoopExit = find_loop_exit(Rm, Blocks0),
+ Defs0 = beam_ssa:def([L], Blocks0),
+ CommonUsed = recv_common(Defs0, LoopExit, Blocks0),
+ {Blocks1,Count1} = recv_fix_common(CommonUsed, LoopExit, Rm,
+ Blocks0, Count0),
+ Defs = ordsets:subtract(Defs0, CommonUsed),
+ {Blocks,Count} = fix_receive(Rm, Defs, Blocks1, Count1),
+ fix_receives_1(Ls, Blocks, Count);
+ #b_blk{} ->
+ fix_receives_1(Ls, Blocks0, Count0)
+ end;
+fix_receives_1([], Blocks, Count) ->
+ {Blocks,Count}.
+
+recv_common(_Defs, none, _Blocks) ->
+ %% There is no common exit block because receive is used
+ %% in the tail position of a function.
+ [];
+recv_common(Defs, Exit, Blocks) ->
+ {ExitDefs,ExitUsed} = beam_ssa:def_used([Exit], Blocks),
+ Def = ordsets:subtract(Defs, ExitDefs),
+ ordsets:intersection(Def, ExitUsed).
+
+%% recv_fix_common([CommonVar], LoopExit, [RemoveMessageLabel],
+%% Blocks0, Count0) -> {Blocks,Count}.
+%% Handle variables alwys defined in a receive and used
+%% in the exit block following the receive.
+
+recv_fix_common([Msg0|T], Exit, Rm, Blocks0, Count0) ->
+ {Msg1,Count1} = new_var_name('@recv', Count0),
+ Msg = #b_var{name=Msg1},
+ Blocks1 = beam_ssa:rename_vars(#{Msg0=>Msg}, [Exit], Blocks0),
+ N = length(Rm),
+ {MsgVars0,Count} = new_var_names(duplicate(N, '@recv'), Count1),
+ MsgVars = [#b_var{name=V} || V <- MsgVars0],
+ PhiArgs = fix_exit_phi_args(MsgVars, Rm, Exit, Blocks1),
+ Phi = #b_set{op=phi,dst=Msg,args=PhiArgs},
+ ExitBlk0 = maps:get(Exit, Blocks1),
+ ExitBlk = ExitBlk0#b_blk{is=[Phi|ExitBlk0#b_blk.is]},
+ Blocks2 = Blocks1#{Exit:=ExitBlk},
+ Blocks = recv_fix_common_1(MsgVars, Rm, Msg0, Blocks2),
+ recv_fix_common(T, Exit, Rm, Blocks, Count);
+recv_fix_common([], _, _, Blocks, Count) ->
+ {Blocks,Count}.
+
+recv_fix_common_1([V|Vs], [Rm|Rms], Msg, Blocks0) ->
+ Ren = #{Msg=>V},
+ Blocks1 = beam_ssa:rename_vars(Ren, [Rm], Blocks0),
+ #b_blk{is=Is0} = Blk0 = maps:get(Rm, Blocks1),
+ Copy = #b_set{op=copy,dst=V,args=[#b_var{name=Msg}]},
+ Is = insert_after_phis(Is0, [Copy]),
+ Blk = Blk0#b_blk{is=Is},
+ Blocks = Blocks1#{Rm:=Blk},
+ recv_fix_common_1(Vs, Rms, Msg, Blocks);
+recv_fix_common_1([], [], _Msg, Blocks) -> Blocks.
+
+fix_exit_phi_args([V|Vs], [Rm|Rms], Exit, Blocks) ->
+ Path = beam_ssa:rpo([Rm], Blocks),
+ Pred = exit_predecessor(Path, Exit),
+ [{V,Pred}|fix_exit_phi_args(Vs, Rms, Exit, Blocks)];
+fix_exit_phi_args([], [], _, _) -> [].
+
+exit_predecessor([Pred,Exit|_], Exit) ->
+ Pred;
+exit_predecessor([_|Bs], Exit) ->
+ exit_predecessor(Bs, Exit).
+
+%% fix_receive([Label], Defs, Blocks0, Count0) -> {Blocks,Count}.
+%% Add a copy instruction for all variables that are matched out and
+%% later used within a clause of the receive.
+
+fix_receive([L|Ls], Defs, Blocks0, Count0) ->
+ {RmDefs,Used0} = beam_ssa:def_used([L], Blocks0),
+ Def = ordsets:subtract(Defs, RmDefs),
+ Used = ordsets:intersection(Def, Used0),
+ {NewVs,Count} = new_var_names(Used, Count0),
+ NewVars = [#b_var{name=V} || V <- NewVs],
+ Ren = zip(Used, NewVars),
+ Blocks1 = beam_ssa:rename_vars(Ren, [L], Blocks0),
+ #b_blk{is=Is0} = Blk1 = maps:get(L, Blocks1),
+ CopyIs = [#b_set{op=copy,dst=New,args=[#b_var{name=Old}]} ||
+ {Old,New} <- Ren],
+ Is = insert_after_phis(Is0, CopyIs),
+ Blk = Blk1#b_blk{is=Is},
+ Blocks = maps:put(L, Blk, Blocks1),
+ fix_receive(Ls, Defs, Blocks, Count);
+fix_receive([], _Defs, Blocks, Count) ->
+ {Blocks,Count}.
+
+%% find_loop_exit([Label], Blocks) -> Label | none.
+%% Find the block to which control is transferred when the
+%% the receive loop is exited.
+
+find_loop_exit([L1,L2|_Ls], Blocks) ->
+ Path1 = beam_ssa:rpo([L1], Blocks),
+ Path2 = beam_ssa:rpo([L2], Blocks),
+ find_loop_exit_1(reverse(Path1), reverse(Path2), none);
+find_loop_exit(_, _) -> none.
+
+find_loop_exit_1([H|T1], [H|T2], _) ->
+ find_loop_exit_1(T1, T2, H);
+find_loop_exit_1(_, _, Exit) -> Exit.
+
+%% find_rm_blocks(StartLabel, Blocks) -> [Label].
+%% Find all blocks that start with remove_message within the receive
+%% loop whose peek_message label is StartLabel.
+
+find_rm_blocks(L, Blocks) ->
+ Seen = gb_sets:singleton(L),
+ Blk = maps:get(L, Blocks),
+ Succ = beam_ssa:successors(Blk),
+ find_rm_blocks_1(Succ, Seen, Blocks).
+
+find_rm_blocks_1([L|Ls], Seen0, Blocks) ->
+ case gb_sets:is_member(L, Seen0) of
+ true ->
+ find_rm_blocks_1(Ls, Seen0, Blocks);
+ false ->
+ Seen = gb_sets:insert(L, Seen0),
+ Blk = maps:get(L, Blocks),
+ case find_rm_act(Blk#b_blk.is) of
+ prune ->
+ %% Looping back. Don't look at any successors.
+ find_rm_blocks_1(Ls, Seen, Blocks);
+ continue ->
+ %% Neutral block. Do nothing here, but look at
+ %% all successors.
+ Succ = beam_ssa:successors(Blk),
+ find_rm_blocks_1(Succ++Ls, Seen, Blocks);
+ found ->
+ %% Found remove_message instruction.
+ [L|find_rm_blocks_1(Ls, Seen, Blocks)]
+ end
+ end;
+find_rm_blocks_1([], _, _) -> [].
+
+find_rm_act([#b_set{op=Op}|Is]) ->
+ case Op of
+ remove_message -> found;
+ peek_message -> prune;
+ recv_next -> prune;
+ wait_timeout -> prune;
+ wait -> prune;
+ _ -> find_rm_act(Is)
+ end;
+find_rm_act([]) ->
+ continue.
+
+%%%
+%%% Find out which variables need to be stored in Y registers.
+%%%
+
+-record(dk, {d :: ordsets:ordset(var_name()),
+ k :: ordsets:ordset(var_name())
+ }).
+
+%% find_yregs(St0) -> St.
+%% Find all variables that must be stored in Y registers. Annotate
+%% the blocks that allocate frames with the set of Y registers
+%% used within that stack frame.
+%%
+%% Basically, we following all execution paths starting from a block
+%% that allocates a frame, keeping track of of all defined registers
+%% and all registers killed by an instruction that clobbers X
+%% registers. For every use of a variable, we check if if it is in
+%% the set of killed variables; if it is, it must be stored in an Y
+%% register.
+
+find_yregs(#st{frames=[]}=St) ->
+ St;
+find_yregs(#st{frames=[_|_]=Frames,args=Args,ssa=Blocks0}=St) ->
+ FrameDefs = find_defs(Frames, Blocks0, [V || #b_var{name=V} <- Args]),
+ Blocks = find_yregs_1(FrameDefs, Blocks0),
+ St#st{ssa=Blocks}.
+
+find_yregs_1([{F,Defs}|Fs], Blocks0) ->
+ DK = #dk{d=Defs,k=[]},
+ D0 = #{F=>DK},
+ Ls = beam_ssa:rpo([F], Blocks0),
+ Yregs0 = [],
+ Yregs = find_yregs_2(Ls, Blocks0, D0, Yregs0),
+ Blk0 = maps:get(F, Blocks0),
+ Blk = beam_ssa:add_anno(yregs, Yregs, Blk0),
+ Blocks = Blocks0#{F:=Blk},
+ find_yregs_1(Fs, Blocks);
+find_yregs_1([], Blocks) -> Blocks.
+
+find_yregs_2([L|Ls], Blocks0, D0, Yregs0) ->
+ Blk0 = maps:get(L, Blocks0),
+ #b_blk{is=Is,last=Last} = Blk0,
+ Ys0 = maps:get(L, D0),
+ {Yregs1,Ys} = find_yregs_is(Is, Ys0, Yregs0),
+ Yregs = find_yregs_terminator(Last, Ys, Yregs1),
+ Successors = beam_ssa:successors(Blk0),
+ D = find_update_succ(Successors, Ys, D0),
+ find_yregs_2(Ls, Blocks0, D, Yregs);
+find_yregs_2([], _Blocks, _D, Yregs) -> Yregs.
+
+find_defs(Frames, Blocks, Defs) ->
+ Seen = gb_sets:empty(),
+ FramesSet = gb_sets:from_list(Frames),
+ {FrameDefs,_} = find_defs_1([0], Blocks, FramesSet, Seen, Defs, []),
+ FrameDefs.
+
+find_defs_1([L|Ls], Blocks, Frames, Seen0, Defs0, Acc0) ->
+ case gb_sets:is_member(L, Frames) of
+ true ->
+ OrderedDefs = ordsets:from_list(Defs0),
+ find_defs_1(Ls, Blocks, Frames, Seen0, Defs0,
+ [{L,OrderedDefs}|Acc0]);
+ false ->
+ case gb_sets:is_member(L, Seen0) of
+ true ->
+ find_defs_1(Ls, Blocks, Frames, Seen0, Defs0, Acc0);
+ false ->
+ Seen1 = gb_sets:insert(L, Seen0),
+ {Acc,Seen} = find_defs_1(Ls, Blocks, Frames, Seen1, Defs0, Acc0),
+ #b_blk{is=Is} = Blk = maps:get(L, Blocks),
+ Defs = find_defs_is(Is, Defs0),
+ Successors = beam_ssa:successors(Blk),
+ find_defs_1(Successors, Blocks, Frames, Seen, Defs, Acc)
+ end
+ end;
+find_defs_1([], _, _, Seen, _, Acc) ->
+ {Acc,Seen}.
+
+find_defs_is([#b_set{dst=#b_var{name=Dst}}|Is], Acc) ->
+ find_defs_is(Is, [Dst|Acc]);
+find_defs_is([], Acc) -> Acc.
+
+find_update_succ([S|Ss], #dk{d=Defs0,k=Killed0}=DK0, D0) ->
+ case D0 of
+ #{S:=#dk{d=Defs1,k=Killed1}} ->
+ Defs = ordsets:intersection(Defs0, Defs1),
+ Killed = ordsets:union(Killed0, Killed1),
+ DK = #dk{d=Defs,k=Killed},
+ D = maps:put(S, DK, D0),
+ find_update_succ(Ss, DK0, D);
+ #{} ->
+ D = maps:put(S, DK0, D0),
+ find_update_succ(Ss, DK0, D)
+ end;
+find_update_succ([], _, D) -> D.
+
+find_yregs_is([#b_set{dst=#b_var{name=Dst}}=I|Is], #dk{d=Defs0,k=Killed0}=Ys, Yregs0) ->
+ Used = beam_ssa:used(I),
+ Yregs1 = ordsets:intersection(Used, Killed0),
+ Yregs = ordsets:union(Yregs0, Yregs1),
+ case beam_ssa:clobbers_xregs(I) of
+ false ->
+ Defs = ordsets:add_element(Dst, Defs0),
+ find_yregs_is(Is, Ys#dk{d=Defs}, Yregs);
+ true ->
+ Killed = ordsets:union(Defs0, Killed0),
+ Defs = [Dst],
+ find_yregs_is(Is, Ys#dk{d=Defs,k=Killed}, Yregs)
+ end;
+find_yregs_is([], Ys, Yregs) -> {Yregs,Ys}.
+
+find_yregs_terminator(Terminator, #dk{k=Killed}, Yregs0) ->
+ Used = beam_ssa:used(Terminator),
+ Yregs = ordsets:intersection(Used, Killed),
+ ordsets:union(Yregs0, Yregs).
+
+%%%
+%%% Try to reduce the size of the stack frame, by adding an explicit
+%%% 'copy' instructions for return values from 'call' and 'make_fun' that
+%%% need to be saved in Y registers. Here is an example to show
+%%% how that's useful. First, here is the Erlang code:
+%%%
+%%% f(Pid) ->
+%%% Res = foo(42),
+%%% _ = node(Pid),
+%%% bar(),
+%%% Res.
+%%%
+%%% Compiled to SSA format, the main part of the code looks like this:
+%%%
+%%% 0:
+%%% Res = call local literal foo/1, literal 42
+%%% _1 = bif:node Pid
+%%% @ssa_bool = succeeded _1
+%%% br @ssa_bool, label 3, label 1
+%%% 3:
+%%% @ssa_ignored = call local literal bar/0
+%%% ret Res
+%%%
+%%% It can be seen that the variables Pid and Res must be saved in Y
+%%% registers in order to survive the function calls. A previous sub
+%%% pass has inserted a 'copy' instruction to save the value of the
+%%% variable Pid:
+%%%
+%%% 0:
+%%% Pid:4 = copy Pid
+%%% Res = call local literal foo/1, literal 42
+%%% _1 = bif:node Pid:4
+%%% @ssa_bool = succeeded _1
+%%% br @ssa_bool, label 3, label 1
+%%%
+%%% 3:
+%%% @ssa_ignored = call local literal bar/0
+%%% ret Res
+%%%
+%%% The Res and Pid:4 variables must be assigned to different Y registers
+%%% because they are live at the same time. copy_retval() inserts a
+%%% 'copy' instruction to copy Res to a new variable:
+%%%
+%%% 0:
+%%% Pid:4 = copy Pid
+%%% Res:6 = call local literal foo/1, literal 42
+%%% _1 = bif:node Pid:4
+%%% @ssa_bool = succeeded _1
+%%% br @ssa_bool, label 3, label 1
+%%%
+%%% 3:
+%%% Res = copy Res:6
+%%% @ssa_ignored = call local literal bar/0
+%%% ret Res
+%%%
+%%% The new variable Res:6 is used to capture the return value from the call.
+%%% The variables Pid:4 and Res are no longer live at the same time, so they
+%%% can be assigned to the same Y register.
+%%%
+
+copy_retval(#st{frames=Frames,ssa=Blocks0,cnt=Count0}=St) ->
+ {Blocks,Count} = copy_retval_1(Frames, Blocks0, Count0),
+ St#st{ssa=Blocks,cnt=Count}.
+
+copy_retval_1([F|Fs], Blocks0, Count0) ->
+ #b_blk{anno=#{yregs:=Yregs0},is=Is} = maps:get(F, Blocks0),
+ Yregs1 = gb_sets:from_list(Yregs0),
+ Yregs = collect_yregs(Is, Yregs1),
+ Ls = beam_ssa:rpo([F], Blocks0),
+ {Blocks,Count} = copy_retval_2(Ls, Yregs, none, Blocks0, Count0),
+ copy_retval_1(Fs, Blocks, Count);
+copy_retval_1([], Blocks, Count) ->
+ {Blocks,Count}.
+
+collect_yregs([#b_set{op=copy,dst=#b_var{name=Y},args=[#b_var{name=X}]}|Is],
+ Yregs0) ->
+ true = gb_sets:is_member(X, Yregs0), %Assertion.
+ Yregs = gb_sets:insert(Y, gb_sets:delete(X, Yregs0)),
+ collect_yregs(Is, Yregs);
+collect_yregs([#b_set{}|Is], Yregs) ->
+ collect_yregs(Is, Yregs);
+collect_yregs([], Yregs) -> Yregs.
+
+copy_retval_2([L|Ls], Yregs, Copy0, Blocks0, Count0) ->
+ #b_blk{is=Is0,last=Last} = Blk = maps:get(L, Blocks0),
+ RC = case {Last,Ls} of
+ {#b_br{succ=Succ,fail=?BADARG_BLOCK},[Succ|_]} ->
+ true;
+ {_,_} ->
+ false
+ end,
+ case copy_retval_is(Is0, RC, Yregs, Copy0, Count0, []) of
+ {Is,Count} ->
+ case Copy0 =:= none andalso Count0 =:= Count of
+ true ->
+ copy_retval_2(Ls, Yregs, none, Blocks0, Count0);
+ false ->
+ Blocks = Blocks0#{L=>Blk#b_blk{is=Is}},
+ copy_retval_2(Ls, Yregs, none, Blocks, Count)
+ end;
+ {Is,Count,Copy} ->
+ Blocks = Blocks0#{L=>Blk#b_blk{is=Is}},
+ copy_retval_2(Ls, Yregs, Copy, Blocks, Count)
+ end;
+copy_retval_2([], _Yregs, none, Blocks, Count) ->
+ {Blocks,Count}.
+
+copy_retval_is([#b_set{op=put_tuple_elements,args=Args0}=I0], false, _Yregs,
+ Copy, Count, Acc) ->
+ I = I0#b_set{args=copy_sub_args(Args0, Copy)},
+ {reverse(Acc, [I|acc_copy([], Copy)]),Count};
+copy_retval_is([#b_set{}]=Is, false, _Yregs, Copy, Count, Acc) ->
+ {reverse(Acc, acc_copy(Is, Copy)),Count};
+copy_retval_is([#b_set{},#b_set{op=succeeded}]=Is, false, _Yregs, Copy, Count, Acc) ->
+ {reverse(Acc, acc_copy(Is, Copy)),Count};
+copy_retval_is([#b_set{op=Op,dst=#b_var{name=RetVal}=Dst}=I0|Is], RC, Yregs,
+ Copy0, Count0, Acc0) when Op =:= call; Op =:= make_fun ->
+ {I1,Count1,Acc} = place_retval_copy(I0, Yregs, Copy0, Count0, Acc0),
+ case gb_sets:is_member(RetVal, Yregs) of
+ true ->
+ {NewVarName,Count} = new_var_name(RetVal, Count1),
+ NewVar = #b_var{name=NewVarName},
+ Copy = #b_set{op=copy,dst=Dst,args=[NewVar]},
+ I = I1#b_set{dst=NewVar},
+ copy_retval_is(Is, RC, Yregs, Copy, Count, [I|Acc]);
+ false ->
+ copy_retval_is(Is, RC, Yregs, none, Count1, [I1|Acc])
+ end;
+copy_retval_is([#b_set{args=Args0}=I0|Is], RC, Yregs, Copy, Count, Acc) ->
+ I = I0#b_set{args=copy_sub_args(Args0, Copy)},
+ case beam_ssa:clobbers_xregs(I) of
+ true ->
+ copy_retval_is(Is, RC, Yregs, none, Count, [I|acc_copy(Acc, Copy)]);
+ false ->
+ copy_retval_is(Is, RC, Yregs, Copy, Count, [I|Acc])
+ end;
+copy_retval_is([], RC, _, Copy, Count, Acc) ->
+ case {Copy,RC} of
+ {none,_} ->
+ {reverse(Acc),Count};
+ {#b_set{},true} ->
+ {reverse(Acc),Count,Copy};
+ {#b_set{},false} ->
+ {reverse(Acc, [Copy]),Count}
+ end.
+
+%%
+%% Consider this code:
+%%
+%% Var = ...
+%% ...
+%% A1 = call foo/0
+%% A = copy A1
+%% B = call bar/1, Var
+%%
+%% If the Var variable is no longer used after this code, its Y register
+%% can't be reused for A. To allow the Y register to be reused
+%% we will need to insert 'copy' instructions for arguments that are
+%% in Y registers:
+%%
+%% Var = ...
+%% ...
+%% A1 = call foo/0
+%% Var1 = copy Var
+%% A = copy A1
+%% B = call bar/1, Var1
+%%
+
+place_retval_copy(I, _Yregs, none, Count, Acc) ->
+ {I,Count,Acc};
+place_retval_copy(#b_set{args=[F|Args0]}=I, Yregs, Copy, Count0, Acc0) ->
+ #b_set{dst=#b_var{name=Avoid}} = Copy,
+ {Args,Acc1,Count} = copy_func_args(Args0, Yregs, Avoid, Acc0, [], Count0),
+ Acc = [Copy|Acc1],
+ {I#b_set{args=[F|Args]},Count,Acc}.
+
+copy_func_args([#b_var{name=V}=A|As], Yregs, Avoid, CopyAcc, Acc, Count0) ->
+ case gb_sets:is_member(V, Yregs) of
+ true when V =/= Avoid ->
+ {NewVarName,Count} = new_var_name(V, Count0),
+ NewVar = #b_var{name=NewVarName},
+ Copy = #b_set{op=copy,dst=NewVar,args=[A]},
+ copy_func_args(As, Yregs, Avoid, [Copy|CopyAcc], [NewVar|Acc], Count);
+ _ ->
+ copy_func_args(As, Yregs, Avoid, CopyAcc, [A|Acc], Count0)
+ end;
+copy_func_args([A|As], Yregs, Avoid, CopyAcc, Acc, Count) ->
+ copy_func_args(As, Yregs, Avoid, CopyAcc, [A|Acc], Count);
+copy_func_args([], _Yregs, _Avoid, CopyAcc, Acc, Count) ->
+ {reverse(Acc),CopyAcc,Count}.
+
+acc_copy(Acc, none) -> Acc;
+acc_copy(Acc, #b_set{}=Copy) -> [Copy|Acc].
+
+copy_sub_args(Args, none) ->
+ Args;
+copy_sub_args(Args, #b_set{dst=Dst,args=[Src]}) ->
+ [sub_arg(A, Dst, Src) || A <- Args].
+
+sub_arg(Old, Old, New) -> New;
+sub_arg(Old, _, _) -> Old.
+
+%%%
+%%% Consider:
+%%%
+%%% x1/Hd = get_hd x0/Cons
+%%% y0/Tl = get_tl x0/Cons
+%%%
+%%% Register x0 can't be reused for Hd. If Hd needs to be in x0,
+%%% a 'move' instruction must be inserted.
+%%%
+%%% If we swap get_hd and get_tl when Tl is in a Y register,
+%%% x0 can be used for Hd if Cons is not used again:
+%%%
+%%% y0/Tl = get_tl x0/Cons
+%%% x0/Hd = get_hd x0/Cons
+%%%
+
+opt_get_list(#st{ssa=Blocks,res=Res}=St) ->
+ ResMap = maps:from_list(Res),
+ Ls = beam_ssa:rpo(Blocks),
+ St#st{ssa=opt_get_list_1(Ls, ResMap, Blocks)}.
+
+opt_get_list_1([L|Ls], Res, Blocks0) ->
+ #b_blk{is=Is0} = Blk = maps:get(L, Blocks0),
+ case opt_get_list_is(Is0, Res, [], false) of
+ no ->
+ opt_get_list_1(Ls, Res, Blocks0);
+ {yes,Is} ->
+ Blocks = Blocks0#{L:=Blk#b_blk{is=Is}},
+ opt_get_list_1(Ls, Res, Blocks)
+ end;
+opt_get_list_1([], _, Blocks) -> Blocks.
+
+opt_get_list_is([#b_set{op=get_hd,dst=#b_var{name=Hd},
+ args=[Cons]}=GetHd,
+ #b_set{op=get_tl,dst=#b_var{name=Tl},
+ args=[Cons]}=GetTl|Is],
+ Res, Acc, Changed) ->
+ %% Note that when this pass is run, only Y registers have
+ %% reservations. The absence of an entry for a variable therefore
+ %% means that the variable will be in an X register.
+ case Res of
+ #{Hd:={y,_}} ->
+ %% Hd will be in a Y register. Don't swap.
+ opt_get_list_is([GetTl|Is], Res, [GetHd|Acc], Changed);
+ #{Tl:={y,_}} ->
+ %% Tl will be in a Y register. Swap.
+ opt_get_list_is([GetHd|Is], Res, [GetTl|Acc], true);
+ #{} ->
+ %% Both are in X registers. Nothing to do.
+ opt_get_list_is([GetTl|Is], Res, [GetHd|Acc], Changed)
+ end;
+opt_get_list_is([I|Is], Res, Acc, Changed) ->
+ opt_get_list_is(Is, Res, [I|Acc], Changed);
+opt_get_list_is([], _Res, Acc, Changed) ->
+ case Changed of
+ true ->
+ {yes,reverse(Acc)};
+ false ->
+ no
+ end.
+
+%%%
+%%% Number instructions in the order they are executed.
+%%%
+
+%% number_instructions(St0) -> St.
+%% Number instructions in the order they are executed. Use a step
+%% size of 2. Don't number phi instructions. All phi variables in
+%% a block will be live one unit before the first non-phi instruction
+%% in the block.
+
+number_instructions(#st{ssa=Blocks0}=St) ->
+ Ls = beam_ssa:rpo(Blocks0),
+ St#st{ssa=number_is_1(Ls, 1, Blocks0)}.
+
+number_is_1([L|Ls], N0, Blocks0) ->
+ #b_blk{is=Is0,last=Last0} = Bl0 = maps:get(L, Blocks0),
+ {Is,N1} = number_is_2(Is0, N0, []),
+ Last = beam_ssa:add_anno(n, N1, Last0),
+ N = N1 + 2,
+ Bl = Bl0#b_blk{is=Is,last=Last},
+ Blocks = maps:put(L, Bl, Blocks0),
+ number_is_1(Ls, N, Blocks);
+number_is_1([], _, Blocks) -> Blocks.
+
+number_is_2([#b_set{op=phi}=I|Is], N, Acc) ->
+ number_is_2(Is, N, [I|Acc]);
+number_is_2([I0|Is], N, Acc) ->
+ I = beam_ssa:add_anno(n, N, I0),
+ number_is_2(Is, N+2, [I|Acc]);
+number_is_2([], N, Acc) ->
+ {reverse(Acc),N}.
+
+%%%
+%%% Calculate live intervals.
+%%%
+
+live_intervals(#st{args=Args,ssa=Blocks}=St) ->
+ Vars0 = [{V,{0,1}} || #b_var{name=V} <- Args],
+ F = fun(L, _, A) -> live_interval_blk(L, Blocks, A) end,
+ LiveMap0 = #{},
+ Acc0 = {[],[],LiveMap0},
+ {Vars,Aliases,_} = beam_ssa:fold_po(F, Acc0, Blocks),
+ Intervals = merge_ranges(rel2fam(Vars0++Vars)),
+ St#st{intervals=Intervals,aliases=Aliases}.
+
+merge_ranges([{V,Rs}|T]) ->
+ [{V,merge_ranges_1(Rs)}|merge_ranges(T)];
+merge_ranges([]) -> [].
+
+merge_ranges_1([{A,N},{N,Z}|Rs]) ->
+ merge_ranges_1([{A,Z}|Rs]);
+merge_ranges_1([R|Rs]) ->
+ [R|merge_ranges_1(Rs)];
+merge_ranges_1([]) -> [].
+
+live_interval_blk(L, Blocks, {Vars0,Aliases0,LiveMap0}) ->
+ Live0 = [],
+ Successors = beam_ssa:successors(L, Blocks),
+ Live1 = update_successors(Successors, L, Blocks, LiveMap0, Live0),
+
+ %% Add ranges for all variables that are live in the successors.
+ #b_blk{is=Is,last=Last} = maps:get(L, Blocks),
+ End = beam_ssa:get_anno(n, Last),
+ Use = [{V,{use,End+1}} || V <- Live1],
+
+ %% Determine used and defined variables in this block.
+ FirstNumber = first_number(Is, Last),
+ {UseDef0,Aliases} = live_interval_blk_1([Last|reverse(Is)],
+ FirstNumber, Aliases0, Use),
+ UseDef = rel2fam(UseDef0),
+
+ %% Update what is live at the beginning of this block and
+ %% store it.
+ Used = [V || {V,[{use,_}|_]} <- UseDef],
+ Live2 = ordsets:union(Live1, Used),
+ Killed = [V || {V,[{def,_}|_]} <- UseDef],
+ Live = ordsets:subtract(Live2, Killed),
+ LiveMap = LiveMap0#{L=>Live},
+
+ %% Construct the ranges for this block.
+ Vars = make_block_ranges(UseDef, FirstNumber, Vars0),
+ {Vars,Aliases,LiveMap}.
+
+make_block_ranges([{V,[{def,Def}]}|Vs], First, Acc) ->
+ make_block_ranges(Vs, First, [{V,{Def,Def}}|Acc]);
+make_block_ranges([{V,[{def,Def}|Uses]}|Vs], First, Acc) ->
+ {use,Last} = last(Uses),
+ make_block_ranges(Vs, First, [{V,{Def,Last}}|Acc]);
+make_block_ranges([{V,[{use,_}|_]=Uses}|Vs], First, Acc) ->
+ {use,Last} = last(Uses),
+ make_block_ranges(Vs, First, [{V,{First,Last}}|Acc]);
+make_block_ranges([], _, Acc) -> Acc.
+
+live_interval_blk_1([#b_set{op=phi,dst=#b_var{name=Dst}}|Is],
+ FirstNumber, Aliases, Acc0) ->
+ Acc = [{Dst,{def,FirstNumber}}|Acc0],
+ live_interval_blk_1(Is, FirstNumber, Aliases, Acc);
+live_interval_blk_1([#b_set{op=bs_start_match}=I|Is], FirstNumber,
+ Aliases0, Acc0) ->
+ N = beam_ssa:get_anno(n, I),
+ #b_set{dst=#b_var{name=Dst}} = I,
+ Acc1 = [{Dst,{def,N}}|Acc0],
+ Aliases = case beam_ssa:get_anno(reuse_for_context, I) of
+ true ->
+ #b_set{args=[#b_var{name=Src}]} = I,
+ [{Dst,Src}|Aliases0];
+ false ->
+ Aliases0
+ end,
+ Acc = [{V,{use,N}} || V <- beam_ssa:used(I)] ++ Acc1,
+ live_interval_blk_1(Is, FirstNumber, Aliases, Acc);
+live_interval_blk_1([I|Is], FirstNumber, Aliases, Acc0) ->
+ N = beam_ssa:get_anno(n, I),
+ Acc1 = case I of
+ #b_set{dst=#b_var{name=Dst}} ->
+ [{Dst,{def,N}}|Acc0];
+ _ ->
+ Acc0
+ end,
+ Used = beam_ssa:used(I),
+ Acc = [{V,{use,N}} || V <- Used] ++ Acc1,
+ live_interval_blk_1(Is, FirstNumber, Aliases, Acc);
+live_interval_blk_1([], _FirstNumber, Aliases, Acc) ->
+ {Acc,Aliases}.
+
+%% first_number([#b_set{}]) -> InstructionNumber.
+%% Return the number for the first instruction for the block.
+%% Note that this number is one less than the first
+%% non-phi instruction in the block.
+
+first_number([#b_set{op=phi}|Is], Last) ->
+ first_number(Is, Last);
+first_number([I|_], _) ->
+ beam_ssa:get_anno(n, I) - 1;
+first_number([], Last) ->
+ beam_ssa:get_anno(n, Last) - 1.
+
+update_successors([L|Ls], Pred, Blocks, LiveMap, Live0) ->
+ Live1 = ordsets:union(Live0, get_live(L, LiveMap)),
+ #b_blk{is=Is} = maps:get(L, Blocks),
+ Live = update_live_phis(Is, Pred, Live1),
+ update_successors(Ls, Pred, Blocks, LiveMap, Live);
+update_successors([], _, _, _, Live) -> Live.
+
+get_live(L, LiveMap) ->
+ case LiveMap of
+ #{L:=Live} -> Live;
+ #{} -> []
+ end.
+
+update_live_phis([#b_set{op=phi,dst=#b_var{name=Killed},args=Args}|Is],
+ Pred, Live0) ->
+ Used = [V || {#b_var{name=V},L} <- Args, L =:= Pred],
+ Live1 = ordsets:union(ordsets:from_list(Used), Live0),
+ Live = ordsets:del_element(Killed, Live1),
+ update_live_phis(Is, Pred, Live);
+update_live_phis(_, _, Live) -> Live.
+
+%%%
+%%% Reserve Y registers.
+%%%
+
+%% reserve_yregs(St0) -> St.
+%% In each block that allocates a stack frame, insert instructions
+%% that copy variables that must be in Y registers (given by
+%% YRegisters) to new variables.
+%%
+%% Also allocate specific Y registers for try and catch tags.
+%% The outermost try/catch tag is placed in y0, any directly
+%% nested tag in y1, and so on. Note that this is the reversed
+%% order as required by BEAM; it will be corrected later by
+%% turn_yregs().
+
+reserve_yregs(#st{frames=Frames}=St0) ->
+ foldl(fun reserve_yregs_1/2, St0, Frames).
+
+reserve_yregs_1(L, #st{ssa=Blocks0,cnt=Count0,res=Res0}=St) ->
+ Blk = maps:get(L, Blocks0),
+ Yregs = beam_ssa:get_anno(yregs, Blk),
+ {Def,Used} = beam_ssa:def_used([L], Blocks0),
+ UsedYregs = ordsets:intersection(Yregs, Used),
+ DefBefore = ordsets:subtract(UsedYregs, Def),
+ {BeforeVars,Blocks,Count} = rename_vars(DefBefore, L, Blocks0, Count0),
+ InsideVars = ordsets:subtract(UsedYregs, DefBefore),
+ ResTryTags0 = reserve_try_tags(L, Blocks),
+ ResTryTags = [{V,{Reg,Count}} || {V,Reg} <- ResTryTags0],
+ Vars = BeforeVars ++ InsideVars,
+ Res = [{V,{y,Count}} || V <- Vars] ++ ResTryTags ++ Res0,
+ St#st{res=Res,ssa=Blocks,cnt=Count+1}.
+
+reserve_try_tags(L, Blocks) ->
+ Seen = gb_sets:empty(),
+ {Res0,_} = reserve_try_tags_1([L], Blocks, Seen, #{}),
+ Res1 = [maps:to_list(M) || {_,M} <- maps:to_list(Res0)],
+ Res = [{V,{y,Y}} || {V,Y} <- append(Res1)],
+ ordsets:from_list(Res).
+
+reserve_try_tags_1([L|Ls], Blocks, Seen0, ActMap0) ->
+ case gb_sets:is_element(L, Seen0) of
+ true ->
+ reserve_try_tags_1(Ls, Blocks, Seen0, ActMap0);
+ false ->
+ Seen1 = gb_sets:insert(L, Seen0),
+ #b_blk{is=Is} = Blk = maps:get(L, Blocks),
+ Active0 = get_active(L, ActMap0),
+ Active = reserve_try_tags_is(Is, Active0),
+ Successors = beam_ssa:successors(Blk),
+ ActMap1 = update_act_map(Successors, Active, ActMap0),
+ {ActMap,Seen} = reserve_try_tags_1(Ls, Blocks, Seen1, ActMap1),
+ reserve_try_tags_1(Successors, Blocks, Seen,ActMap)
+ end;
+reserve_try_tags_1([], _Blocks, Seen, ActMap) ->
+ {ActMap,Seen}.
+
+get_active(L, ActMap) ->
+ case ActMap of
+ #{L:=Active} -> Active;
+ #{} -> #{}
+ end.
+
+reserve_try_tags_is([#b_set{op=new_try_tag,dst=#b_var{name=V}}|Is], Active) ->
+ N = map_size(Active),
+ reserve_try_tags_is(Is, Active#{V=>N});
+reserve_try_tags_is([#b_set{op=kill_try_tag,args=[#b_var{name=Tag}]}|Is], Active) ->
+ reserve_try_tags_is(Is, maps:remove(Tag, Active));
+reserve_try_tags_is([_|Is], Active) ->
+ reserve_try_tags_is(Is, Active);
+reserve_try_tags_is([], Active) -> Active.
+
+update_act_map([L|Ls], Active0, ActMap0) ->
+ case ActMap0 of
+ #{L:=Active1} ->
+ ActMap = ActMap0#{L=>maps:merge(Active0, Active1)},
+ update_act_map(Ls, Active0, ActMap);
+ #{} ->
+ ActMap = ActMap0#{L=>Active0},
+ update_act_map(Ls, Active0, ActMap)
+ end;
+update_act_map([], _, ActMap) -> ActMap.
+
+rename_vars([], _, Blocks, Count) ->
+ {[],Blocks,Count};
+rename_vars(Vs, L, Blocks0, Count0) ->
+ {NewVs,Count} = new_var_names(Vs, Count0),
+ NewVars = [#b_var{name=V} || V <- NewVs],
+ Ren = zip(Vs, NewVars),
+ Blocks1 = beam_ssa:rename_vars(Ren, [L], Blocks0),
+ #b_blk{is=Is0} = Blk0 = maps:get(L, Blocks1),
+ CopyIs = [#b_set{op=copy,dst=New,args=[#b_var{name=Old}]} ||
+ {Old,New} <- Ren],
+ Is = insert_after_phis(Is0, CopyIs),
+ Blk = Blk0#b_blk{is=Is},
+ Blocks = maps:put(L, Blk, Blocks1),
+ {NewVs,Blocks,Count}.
+
+insert_after_phis([#b_set{op=phi}=I|Is], InsertIs) ->
+ [I|insert_after_phis(Is, InsertIs)];
+insert_after_phis(Is, InsertIs) ->
+ InsertIs ++ Is.
+
+%% frame_size(St0) -> St.
+%% Calculate the frame size for each block that allocates a frame.
+%% Annotate the block with the frame size. Also annotate all
+%% return instructions with {deallocate,FrameSize} to simplify
+%% code generation.
+
+frame_size(#st{frames=Frames,regs=Regs,ssa=Blocks0}=St) ->
+ Blocks = foldl(fun(L, Blks) ->
+ frame_size_1(L, Regs, Blks)
+ end, Blocks0, Frames),
+ St#st{ssa=Blocks}.
+
+frame_size_1(L, Regs, Blocks0) ->
+ Def = beam_ssa:def([L], Blocks0),
+ Yregs0 = [maps:get(V, Regs) || V <- Def, is_yreg(maps:get(V, Regs))],
+ Yregs = ordsets:from_list(Yregs0),
+ FrameSize = length(ordsets:from_list(Yregs)),
+ if
+ FrameSize =/= 0 ->
+ [{y,0}|_] = Yregs, %Assertion.
+ {y,Last} = last(Yregs),
+ Last = FrameSize - 1, %Assertion.
+ ok;
+ true ->
+ ok
+ end,
+ Blk0 = maps:get(L, Blocks0),
+ Blk = beam_ssa:add_anno(frame_size, FrameSize, Blk0),
+
+ %% Insert an annotation for frame deallocation on
+ %% each #b_ret{}.
+ Blocks = maps:put(L, Blk, Blocks0),
+ Reachable = beam_ssa:rpo([L], Blocks),
+ frame_deallocate(Reachable, FrameSize, Blocks).
+
+frame_deallocate([L|Ls], Size, Blocks0) ->
+ Blk0 = maps:get(L, Blocks0),
+ Blk = case Blk0 of
+ #b_blk{last=#b_ret{}=Ret0} ->
+ Ret = beam_ssa:add_anno(deallocate, Size, Ret0),
+ Blk0#b_blk{last=Ret};
+ #b_blk{} ->
+ Blk0
+ end,
+ Blocks = maps:put(L, Blk, Blocks0),
+ frame_deallocate(Ls, Size, Blocks);
+frame_deallocate([], _, Blocks) -> Blocks.
+
+
+%% turn_yregs(St0) -> St.
+%% Renumber y registers so that {y,0} becomes {y,FrameSize-1},
+%% {y,FrameSize-1} becomes {y,0} and so on. This is to make nested
+%% catches work. The register allocator (linear_scan()) has given
+%% a lower number to the outermost catch.
+
+turn_yregs(#st{frames=Frames,regs=Regs0,ssa=Blocks}=St) ->
+ Regs1 = foldl(fun(L, A) ->
+ Blk = maps:get(L, Blocks),
+ FrameSize = beam_ssa:get_anno(frame_size, Blk),
+ Def = beam_ssa:def([L], Blocks),
+ [turn_yregs_1(Def, FrameSize, Regs0)|A]
+ end, [], Frames),
+ Regs = maps:merge(Regs0, maps:from_list(append(Regs1))),
+ St#st{regs=Regs}.
+
+turn_yregs_1(Def, FrameSize, Regs) ->
+ Yregs0 = [{maps:get(V, Regs),V} || V <- Def, is_yreg(maps:get(V, Regs))],
+ Yregs1 = rel2fam(Yregs0),
+ FrameSize = length(Yregs1),
+ Yregs2 = [{{y,FrameSize-Y-1},Vs} || {{y,Y},Vs} <- Yregs1],
+ R0 = sofs:family(Yregs2),
+ R1 = sofs:family_to_relation(R0),
+ R = sofs:converse(R1),
+ sofs:to_external(R).
+
+%%%
+%%% Reserving registers before register allocation.
+%%%
+
+%% reserve_regs(St0) -> St.
+%% Reserve registers prior to register allocation. Y registers
+%% have already been reserved. This function will reserve z,
+%% fr, and specific x registers.
+
+reserve_regs(#st{args=Args,ssa=Blocks,intervals=Intervals,res=Res0}=St) ->
+ %% Reserve x0, x1, and so on for the function arguments.
+ Res1 = reserve_arg_regs(Args, 0, Res0),
+
+ %% Reserve Z registers (dummy registers) for instructions with no
+ %% return values (e.g. remove_message) or pseudo-return values
+ %% (e.g. landingpad).
+ Res2 = reserve_zregs(Blocks, Intervals, Res1),
+
+ %% Reserve float registers.
+ Res3 = reserve_fregs(Blocks, Res2),
+
+ %% Reserve all remaining unreserved variables as X registers.
+ Res = maps:from_list(Res3),
+ St#st{res=reserve_xregs(Blocks, Res)}.
+
+reserve_arg_regs([#b_var{name=Arg}|Is], N, Acc) ->
+ reserve_arg_regs(Is, N+1, [{Arg,{x,N}}|Acc]);
+reserve_arg_regs([], _, Acc) -> Acc.
+
+reserve_zregs(Blocks, Intervals, Res) ->
+ ShortLived0 = [V || {V,[{Start,End}]} <- Intervals, Start+2 =:= End],
+ ShortLived = cerl_sets:from_list(ShortLived0),
+ F = fun(_, #b_blk{is=Is,last=Last}, A) ->
+ reserve_zreg(Is, Last, ShortLived, A)
+ end,
+ beam_ssa:fold_rpo(F, [0], Res, Blocks).
+
+reserve_zreg([#b_set{op={bif,tuple_size},dst=Dst},
+ #b_set{op={bif,'=:='},args=[Dst,Val]}], _Last, ShortLived, A0) ->
+ case Val of
+ #b_literal{val=Arity} when Arity bsr 32 =:= 0 ->
+ %% These two instructions can be combined to a test_arity
+ %% instruction provided that the arity variable is short-lived.
+ reserve_zreg_1(Dst, ShortLived, A0);
+ _ ->
+ A0
+ end;
+reserve_zreg([#b_set{op={bif,tuple_size},dst=Dst}],
+ #b_switch{}, ShortLived, A) ->
+ reserve_zreg_1(Dst, ShortLived, A);
+reserve_zreg([#b_set{op=Op,dst=#b_var{name=Dst}}|Is], Last, ShortLived, A0) ->
+ IsZReg = case Op of
+ context_to_binary -> true;
+ bs_match_string -> true;
+ bs_restore -> true;
+ bs_save -> true;
+ {float,clearerror} -> true;
+ kill_try_tag -> true;
+ landingpad -> true;
+ put_tuple_elements -> true;
+ remove_message -> true;
+ set_tuple_element -> true;
+ succeeded -> true;
+ timeout -> true;
+ wait_timeout -> true;
+ _ -> false
+ end,
+ A = case IsZReg of
+ true -> [{Dst,z}|A0];
+ false -> A0
+ end,
+ reserve_zreg(Is, Last, ShortLived, A);
+reserve_zreg([], #b_br{bool=Bool}, ShortLived, A) ->
+ reserve_zreg_1(Bool, ShortLived, A);
+reserve_zreg([], _, _, A) -> A.
+
+reserve_zreg_1(#b_var{name=V}, ShortLived, A) ->
+ case cerl_sets:is_element(V, ShortLived) of
+ true -> [{V,z}|A];
+ false -> A
+ end;
+reserve_zreg_1(#b_literal{}, _, A) -> A.
+
+reserve_fregs(Blocks, Res) ->
+ F = fun(_, #b_blk{is=Is}, A) ->
+ reserve_freg(Is, A)
+ end,
+ beam_ssa:fold_rpo(F, [0], Res, Blocks).
+
+reserve_freg([#b_set{op={float,Op},dst=#b_var{name=V}}|Is], Res) ->
+ case Op of
+ get ->
+ reserve_freg(Is, Res);
+ _ ->
+ reserve_freg(Is, [{V,fr}|Res])
+ end;
+reserve_freg([_|Is], Res) ->
+ reserve_freg(Is, Res);
+reserve_freg([], Res) -> Res.
+
+%% reserve_xregs(St0) -> St.
+%% Reserve all remaining variables as X registers.
+%%
+%% If a variable will need to be in a specific X register for a
+%% 'call' or 'make_fun' (and there is nothing that will kill it
+%% between the definition and use), reserve the register using a
+%% {prefer,{x,X} annotation. That annotation means that the linear
+%% scan algorithm will place the variable in the preferred register,
+%% unless that register is already occupied.
+%%
+%% All remaining variables are reserved as X registers. Linear scan
+%% will allocate the lowest free X register for the variable.
+
+reserve_xregs(Blocks, Res) ->
+ F = fun(L, #b_blk{is=Is,last=Last}, R) ->
+ {Xs0,Used0} = reserve_terminator(L, Last, Blocks, R),
+ reserve_xregs_is(reverse(Is), R, Xs0, Used0)
+ end,
+ beam_ssa:fold_po(F, Res, Blocks).
+
+reserve_xregs_is([#b_set{op=Op,dst=#b_var{name=Dst},args=Args}=I|Is], Res0, Xs0, Used0) ->
+ Xs1 = case is_gc_safe(I) of
+ true ->
+ Xs0;
+ false ->
+ %% There may be a garbage collection after executing this
+ %% instruction. We will need prune the list of preferred
+ %% X registers.
+ res_xregs_prune(Xs0, Used0, Res0)
+ end,
+ Res = reserve_xreg(Dst, Xs1, Res0),
+ Used1 = ordsets:union(Used0, beam_ssa:used(I)),
+ Used = ordsets:del_element(Dst, Used1),
+ case Op of
+ call ->
+ Xs = reserve_call_args(tl(Args)),
+ reserve_xregs_is(Is, Res, Xs, Used);
+ make_fun ->
+ Xs = reserve_call_args(tl(Args)),
+ reserve_xregs_is(Is, Res, Xs, Used);
+ _ ->
+ reserve_xregs_is(Is, Res, Xs1, Used)
+ end;
+reserve_xregs_is([], Res, _Xs, _Used) -> Res.
+
+reserve_terminator(L, #b_br{bool=#b_literal{val=true},succ=Succ}, Blocks, Res) ->
+ case maps:get(Succ, Blocks) of
+ #b_blk{is=[],last=Last} ->
+ reserve_terminator(Succ, Last, Blocks, Res);
+ #b_blk{is=[_|_]=Is} ->
+ {res_xregs_from_phi(Is, L, Res, #{}),[]}
+ end;
+reserve_terminator(_, Last, _, _) ->
+ {#{},beam_ssa:used(Last)}.
+
+res_xregs_from_phi([#b_set{op=phi,dst=#b_var{name=Dst},args=Args}|Is],
+ Pred, Res, Acc) ->
+ case [V || {#b_var{name=V},L} <- Args, L =:= Pred] of
+ [] ->
+ res_xregs_from_phi(Is, Pred, Res, Acc);
+ [V] ->
+ case Res of
+ #{Dst:={prefer,Reg}} ->
+ res_xregs_from_phi(Is, Pred, Res, Acc#{V=>Reg});
+ #{Dst:=_} ->
+ res_xregs_from_phi(Is, Pred, Res, Acc)
+ end
+ end;
+res_xregs_from_phi(_, _, _, Acc) -> Acc.
+
+reserve_call_args(Args) ->
+ reserve_call_args(Args, 0, #{}).
+
+reserve_call_args([#b_var{name=Name}|As], X, Xs) ->
+ reserve_call_args(As, X+1, Xs#{Name=>{x,X}});
+reserve_call_args([#b_literal{}|As], X, Xs) ->
+ reserve_call_args(As, X+1, Xs);
+reserve_call_args([], _, Xs) -> Xs.
+
+reserve_xreg(V, Xs, Res) ->
+ case Res of
+ #{V:=_} ->
+ %% Already reserved.
+ Res;
+ #{} ->
+ case Xs of
+ #{V:=X} ->
+ %% Add a hint that a specific X register is
+ %% preferred, unless it is already in use.
+ Res#{V=>{prefer,X}};
+ #{} ->
+ %% Reserve as an X register in general.
+ Res#{V=>x}
+ end
+ end.
+
+is_gc_safe(#b_set{op=phi}) ->
+ false;
+is_gc_safe(#b_set{op=Op,args=Args}) ->
+ case beam_ssa_codegen:classify_heap_need(Op, Args) of
+ neutral -> true;
+ {put,_} -> true;
+ _ -> false
+ end.
+
+%% res_xregs_prune(PreferredRegs, Used, Res) -> PreferredRegs.
+%% Prune the list of preferred to only include X registers that
+%% are guaranteed to survice a garbage collection.
+
+res_xregs_prune(Xs, Used, Res) ->
+ %% The number of safe registers is the number of the X registers
+ %% used after this point. The actual number of safe registers may
+ %% be highter than this number, but this is a conservative safe
+ %% estimate.
+ NumSafe = foldl(fun(V, N) ->
+ case Res of
+ #{V:={x,_}} -> N + 1;
+ #{V:=_} -> N;
+ #{} -> N + 1
+ end
+ end, 0, Used),
+
+ %% Remove unsafe registers from the list of potential
+ %% preferred registers.
+ maps:filter(fun(_, {x,X}) -> X < NumSafe end, Xs).
+
+%%%
+%%% Remove unsuitable aliases.
+%%%
+%%% If a binary is matched more than once, we must not put the
+%%% the match context in the same register as the binary to
+%%% avoid the following situation:
+%%%
+%%% {test,bs_start_match2,{f,3},1,[{x,0},0],{x,0}}.
+%%% .
+%%% .
+%%% .
+%%% {test,bs_start_match2,{f,6},1,[{x,0},0],{x,1}}. %% ILLEGAL!
+%%%
+%%% The second instruction is illegal because a match context source
+%%% is only allowed if source and destination registers are identical.
+%%%
+
+remove_unsuitable_aliases(#st{aliases=[_|_]=Aliases0,ssa=Blocks}=St) ->
+ R = rem_unsuitable(maps:values(Blocks)),
+ Unsuitable0 = [V || {V,[_,_|_]} <- rel2fam(R)],
+ Unsuitable = gb_sets:from_list(Unsuitable0),
+ Aliases =[P || {_,V}=P <- Aliases0,
+ not gb_sets:is_member(V, Unsuitable)],
+ St#st{aliases=Aliases};
+remove_unsuitable_aliases(#st{aliases=[]}=St) -> St.
+
+rem_unsuitable([#b_blk{is=Is}|Bs]) ->
+ Vs = [{V,Dst} ||
+ #b_set{op=bs_start_match,dst=#b_var{name=Dst},
+ args=[#b_var{name=V}]} <- Is],
+ Vs ++ rem_unsuitable(Bs);
+rem_unsuitable([]) -> [].
+
+%%%
+%%% Merge intervals.
+%%%
+
+merge_intervals(#st{aliases=Aliases0,intervals=Intervals0,
+ res=Reserved}=St) ->
+ Aliases1 = [A || A <- Aliases0,
+ is_suitable_alias(A, Reserved)],
+ case Aliases1 of
+ [] ->
+ St#st{aliases=Aliases1};
+ [_|_] ->
+ Intervals1 = maps:from_list(Intervals0),
+ {Intervals,Aliases} =
+ merge_intervals_1(Aliases1, Intervals1, []),
+ St#st{aliases=Aliases,intervals=Intervals}
+ end.
+
+merge_intervals_1([{Alias,V}|Vs], Intervals0, Acc) ->
+ #{Alias:=Int1,V:=Int2} = Intervals0,
+ Int3 = lists:merge(Int1, Int2),
+ Int = merge_intervals_2(Int3),
+ Intervals1 = maps:remove(Alias, Intervals0),
+ Intervals = Intervals1#{V:=Int},
+ merge_intervals_1(Vs, Intervals, [{Alias,V}|Acc]);
+merge_intervals_1([], Intervals, Acc) ->
+ {maps:to_list(Intervals),Acc}.
+
+merge_intervals_2([{A1,B1},{A2,B2}|Is]) when A2 =< B1 ->
+ merge_intervals_2([{min(A1, A2),max(B1, B2)}|Is]);
+merge_intervals_2([{_A1,B1}=R|[{A2,_B2}|_]=Is]) when B1 < A2 ->
+ [R|merge_intervals_2(Is)];
+merge_intervals_2([_]=Is) -> Is.
+
+is_suitable_alias({V1,V2}, Reserved) ->
+ #{V1:=Res1,V2:=Res2} = Reserved,
+ case {Res1,Res2} of
+ {x,x} -> true;
+ {x,{x,_}} -> true;
+ {{x,_},x} -> true;
+ {_,_} -> false
+ end.
+
+%%%
+%%% Register allocation using linear scan.
+%%%
+
+-record(i,
+ {sort=1 :: instr_number(),
+ reg=none :: i_reg(),
+ pool=x :: pool_id(),
+ var=#b_var{} :: b_var(),
+ rs=[] :: [range()]
+ }).
+
+-record(l,
+ {cur=#i{} :: interval(),
+ unhandled_res=[] :: [interval()],
+ unhandled_any=[] :: [interval()],
+ active=[] :: [interval()],
+ inactive=[] :: [interval()],
+ free=#{} :: #{var_name()=>pool(),
+ {'next',pool_id()}:=reg_num()},
+ regs=[] :: [{b_var(),ssa_register()}]
+ }).
+
+-type interval() :: #i{}.
+-type i_reg() :: ssa_register() | {'prefer',xreg()} | 'none'.
+-type pool_id() :: 'fr' | 'x' | 'z' | instr_number().
+-type pool() :: ordsets:ordset(ssa_register()).
+
+linear_scan(#st{intervals=Intervals0,res=Res}=St0) ->
+ St = St0#st{intervals=[],res=[]},
+ Free = init_free(maps:to_list(Res)),
+ Intervals1 = [init_interval(Int, Res) || Int <- Intervals0],
+ Intervals = sort(Intervals1),
+ IsReserved = fun (#i{reg=Reg}) -> Reg =/= none end,
+ {UnhandledRes,Unhandled} = partition(IsReserved, Intervals),
+ L = #l{unhandled_res=UnhandledRes,
+ unhandled_any=Unhandled,free=Free},
+ #l{regs=Regs} = do_linear(L),
+ St#st{regs=maps:from_list(Regs)}.
+
+init_interval({V,[{Start,_}|_]=Rs}, Res) ->
+ Info = maps:get(V, Res),
+ Pool = case Info of
+ {prefer,{x,_}} -> x;
+ x -> x;
+ {x,_} -> x;
+ {y,Uniq} -> Uniq;
+ {{y,_},Uniq} -> Uniq;
+ z -> z;
+ fr -> fr
+ end,
+ Reg = case Info of
+ {prefer,{x,_}} -> Info;
+ {x,_} -> Info;
+ {{y,_}=Y,_} -> Y;
+ _ -> none
+ end,
+ #i{sort=Start,var=V,reg=Reg,pool=Pool,rs=Rs}.
+
+init_free(Res) ->
+ Free0 = rel2fam([{x,{x,0}}|init_free_1(Res)]),
+ #{x:=Xs0} = Free1 = maps:from_list(Free0),
+ Xs = init_xregs(Xs0),
+ Free = Free1#{x:=Xs},
+ Next = maps:fold(fun(K, V, A) -> [{{next,K},length(V)}|A] end, [], Free),
+ maps:merge(Free, maps:from_list(Next)).
+
+init_free_1([{_,{prefer,{x,_}=Reg}}|Res]) ->
+ [{x,Reg}|init_free_1(Res)];
+init_free_1([{_,{x,_}=Reg}|Res]) ->
+ [{x,Reg}|init_free_1(Res)];
+init_free_1([{_,{y,Uniq}}|Res]) ->
+ [{Uniq,{y,0}}|init_free_1(Res)];
+init_free_1([{_,{{y,_}=Reg,Uniq}}|Res]) ->
+ [{Uniq,Reg}|init_free_1(Res)];
+init_free_1([{_,z}|Res]) ->
+ [{z,{z,0}}|init_free_1(Res)];
+init_free_1([{_,fr}|Res]) ->
+ [{fr,{fr,0}}|init_free_1(Res)];
+init_free_1([{_,x}|Res]) ->
+ init_free_1(Res);
+init_free_1([]) -> [].
+
+%% Make sure that the pool of xregs is contiguous.
+init_xregs([{x,N},{x,M}|Is]) when N+1 =:= M ->
+ [{x,N}|init_xregs([{x,M}|Is])];
+init_xregs([{x,N}|[{x,_}|_]=Is]) ->
+ [{x,N}|init_xregs([{x,N+1}|Is])];
+init_xregs([{x,_}]=Is) -> Is.
+
+do_linear(L0) ->
+ case set_next_current(L0) of
+ done ->
+ L0;
+ L1 ->
+ L2 = expire_active(L1),
+ L3 = check_inactive(L2),
+ Available = collect_available(L3),
+ L4 = select_register(Available, L3),
+ L = make_cur_active(L4),
+ do_linear(L)
+ end.
+
+set_next_current(#l{unhandled_res=[Cur1|T1],
+ unhandled_any=[Cur2|T2]}=L) ->
+ case {Cur1,Cur2} of
+ {#i{sort=N1},#i{sort=N2}} when N1 < N2 ->
+ L#l{cur=Cur1,unhandled_res=T1};
+ {_,_} ->
+ L#l{cur=Cur2,unhandled_any=T2}
+ end;
+set_next_current(#l{unhandled_res=[],
+ unhandled_any=[Cur|T]}=L) ->
+ L#l{cur=Cur,unhandled_any=T};
+set_next_current(#l{unhandled_res=[Cur|T],
+ unhandled_any=[]}=L) ->
+ L#l{cur=Cur,unhandled_res=T};
+set_next_current(#l{unhandled_res=[],unhandled_any=[]}) ->
+ done.
+
+expire_active(#l{cur=#i{sort=CurBegin},active=Act0}=L0) ->
+ {Act,L} = expire_active(Act0, CurBegin, L0, []),
+ L#l{active=Act}.
+
+expire_active([#i{reg=Reg,rs=Rs0}=I|Is], CurBegin, L0, Acc) ->
+ {_,_} = Reg, %Assertion.
+ case overlap_status(Rs0, CurBegin) of
+ ends_before_cur ->
+ L = free_reg(I, L0),
+ expire_active(Is, CurBegin, L, Acc);
+ overlapping ->
+ expire_active(Is, CurBegin, L0, [I|Acc]);
+ not_overlapping ->
+ Rs = strip_before_current(Rs0, CurBegin),
+ L1 = free_reg(I, L0),
+ L = L1#l{inactive=[I#i{rs=Rs}|L1#l.inactive]},
+ expire_active(Is, CurBegin, L, Acc)
+ end;
+expire_active([], _CurBegin, L, Acc) ->
+ {Acc,L}.
+
+check_inactive(#l{cur=#i{sort=CurBegin},inactive=InAct0}=L0) ->
+ {InAct,L} = check_inactive(InAct0, CurBegin, L0, []),
+ L#l{inactive=InAct}.
+
+check_inactive([#i{rs=Rs0}=I|Is], CurBegin, L0, Acc) ->
+ case overlap_status(Rs0, CurBegin) of
+ ends_before_cur ->
+ check_inactive(Is, CurBegin, L0, Acc);
+ not_overlapping ->
+ check_inactive(Is, CurBegin, L0, [I|Acc]);
+ overlapping ->
+ Rs = strip_before_current(Rs0, CurBegin),
+ L1 = L0#l{active=[I#i{rs=Rs}|L0#l.active]},
+ L = reserve_reg(I, L1),
+ check_inactive(Is, CurBegin, L, Acc)
+ end;
+check_inactive([], _CurBegin, L, Acc) ->
+ {Acc,L}.
+
+strip_before_current([{_,E}|Rs], CurBegin) when E =< CurBegin ->
+ strip_before_current(Rs, CurBegin);
+strip_before_current(Rs, _CurBegin) -> Rs.
+
+collect_available(#l{cur=#i{reg={prefer,{_,_}=Prefer}}=I}=L) ->
+ %% Use the preferred register if it is available.
+ Avail = collect_available(L#l{cur=I#i{reg=none}}),
+ case member(Prefer, Avail) of
+ true -> [Prefer];
+ false -> Avail
+ end;
+collect_available(#l{cur=#i{reg={_,_}=ReservedReg}}) ->
+ %% Return the already reserved register.
+ [ReservedReg];
+collect_available(#l{unhandled_res=Unhandled,cur=Cur}=L) ->
+ Free = get_pool(Cur, L),
+
+ %% Note that since the live intervals are constructed from
+ %% SSA form, there cannot be any overlap of the current interval
+ %% with any inactive interval. See [3], page 175. Therefore we
+ %% only have check the unhandled intervals for overlap with
+ %% the current interval. As a further optimization, we only need
+ %% to check the intervals that have reserved registers.
+ collect_available(Unhandled, Cur, Free).
+
+collect_available([#i{pool=Pool1}|Is], #i{pool=Pool2}=Cur, Free)
+ when Pool1 =/= Pool2 ->
+ %% Wrong pool. Ignore this interval.
+ collect_available(Is, Cur, Free);
+collect_available([#i{reg={_,_}=Reg}=I|Is], Cur, Free0) ->
+ case overlaps(I, Cur) of
+ true ->
+ Free = ordsets:del_element(Reg, Free0),
+ collect_available(Is, Cur, Free);
+ false ->
+ collect_available(Is, Cur, Free0)
+ end;
+collect_available([], _, Free) -> Free.
+
+select_register([{_,_}=Reg|_], #l{cur=Cur0,regs=Regs}=L) ->
+ Cur = Cur0#i{reg=Reg},
+ reserve_reg(Cur, L#l{cur=Cur,regs=[{Cur#i.var,Reg}|Regs]});
+select_register([], #l{cur=Cur0,regs=Regs}=L0) ->
+ %% Allocate a new register in the pool.
+ {Reg,L1} = get_next_free(Cur0, L0),
+ Cur = Cur0#i{reg=Reg},
+ L = L1#l{cur=Cur,regs=[{Cur#i.var,Reg}|Regs]},
+ reserve_reg(Cur, L).
+
+make_cur_active(#l{cur=Cur,active=Act}=L) ->
+ L#l{active=[Cur|Act]}.
+
+overlaps(#i{rs=Rs1}, #i{rs=Rs2}) ->
+ are_overlapping(Rs1, Rs2).
+
+overlap_status([{S,E}], CurBegin) ->
+ if
+ E =< CurBegin -> ends_before_cur;
+ CurBegin < S -> not_overlapping;
+ true -> overlapping
+ end;
+overlap_status([{S,E}|Rs], CurBegin) ->
+ if
+ E =< CurBegin ->
+ overlap_status(Rs, CurBegin);
+ S =< CurBegin ->
+ overlapping;
+ true ->
+ not_overlapping
+ end.
+
+reserve_reg(#i{reg={_,_}=Reg}=I, L) ->
+ FreeRegs0 = get_pool(I, L),
+ FreeRegs = ordsets:del_element(Reg, FreeRegs0),
+ update_pool(I, FreeRegs, L).
+
+free_reg(#i{reg={_,_}=Reg}=I, L) ->
+ FreeRegs0 = get_pool(I, L),
+ FreeRegs = ordsets:add_element(Reg, FreeRegs0),
+ update_pool(I, FreeRegs, L).
+
+get_pool(#i{pool=Pool}, #l{free=Free}) ->
+ maps:get(Pool, Free).
+
+update_pool(#i{pool=Pool}, New, #l{free=Free0}=L) ->
+ Free = maps:put(Pool, New, Free0),
+ L#l{free=Free}.
+
+get_next_free(#i{pool=Pool}, #l{free=Free0}=L0) ->
+ K = {next,Pool},
+ N = maps:get(K, Free0),
+ Free = maps:put(K, N+1, Free0),
+ L = L0#l{free=Free},
+ if
+ is_integer(Pool) -> {{y,N},L};
+ is_atom(Pool) -> {{Pool,N},L}
+ end.
+
+%%%
+%%% Interval utilities.
+%%%
+
+are_overlapping([R|Rs1], Rs2) ->
+ case are_overlapping_1(R, Rs2) of
+ true ->
+ true;
+ false ->
+ are_overlapping(Rs1, Rs2)
+ end;
+are_overlapping([], _) -> false.
+
+are_overlapping_1({_S1,E1}, [{S2,_E2}|_]) when E1 < S2 ->
+ false;
+are_overlapping_1({S1,E1}=R, [{S2,E2}|Rs]) ->
+ (S2 < E1 andalso E2 > S1) orelse are_overlapping_1(R, Rs);
+are_overlapping_1({_,_}, []) -> false.
+
+%%%
+%%% Utilities.
+%%%
+
+%% is_loop_header(L, Blocks) -> false|true.
+%% Check whether the block is a loop header.
+
+is_loop_header(L, Blocks) ->
+ %% We KNOW that a loop header must start with a peek_message
+ %% instruction.
+ case maps:get(L, Blocks) of
+ #b_blk{is=[#b_set{op=peek_message}|_]} -> true;
+ _ -> false
+ end.
+
+rel2fam(S0) ->
+ S1 = sofs:relation(S0),
+ S = sofs:rel2fam(S1),
+ sofs:to_external(S).
+
+split_phis(Is) ->
+ partition(fun(#b_set{op=Op}) -> Op =:= phi end, Is).
+
+is_yreg({y,_}) -> true;
+is_yreg({x,_}) -> false;
+is_yreg({z,_}) -> false;
+is_yreg({fr,_}) -> false.
+
+new_var_names([V0|Vs0], Count0) ->
+ {V,Count1} = new_var_name(V0, Count0),
+ {Vs,Count} = new_var_names(Vs0, Count1),
+ {[V|Vs],Count};
+new_var_names([], Count) -> {[],Count}.
+
+new_var_name({Base,Int}, Count) ->
+ true = is_integer(Int), %Assertion.
+ {{Base,Count},Count+1};
+new_var_name(Base, Count) ->
+ {{Base,Count},Count+1}.