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authorErlang/OTP <[email protected]>2009-11-20 14:54:40 +0000
committerErlang/OTP <[email protected]>2009-11-20 14:54:40 +0000
commit84adefa331c4159d432d22840663c38f155cd4c1 (patch)
treebff9a9c66adda4df2106dfd0e5c053ab182a12bd /lib/hipe/rtl/hipe_rtl_lcm.erl
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The R13B03 release.OTP_R13B03
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+%% -*- erlang-indent-level: 2 -*-
+%%
+%% %CopyrightBegin%
+%%
+%% Copyright Ericsson AB 2004-2009. All Rights Reserved.
+%%
+%% The contents of this file are subject to the Erlang Public License,
+%% Version 1.1, (the "License"); you may not use this file except in
+%% compliance with the License. You should have received a copy of the
+%% Erlang Public License along with this software. If not, it can be
+%% retrieved online at http://www.erlang.org/.
+%%
+%% Software distributed under the License is distributed on an "AS IS"
+%% basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See
+%% the License for the specific language governing rights and limitations
+%% under the License.
+%%
+%% %CopyrightEnd%
+%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% File : hipe_rtl_lcm.erl
+%% Author : Henrik Nyman and Erik Cedheim
+%% Description : Performs Lazy Code Motion on RTL
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% @doc
+%%
+%% This module implements Lazy Code Motion on RTL.
+%%
+%% @end
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+-module(hipe_rtl_lcm).
+
+-export([rtl_lcm/2]).
+
+-define(SETS, ordsets). %% Which set implementation module to use
+ %% We have tried gb_sets, sets and ordsets and
+ %% ordsets seems to be a lot faster according to
+ %% our test runs.
+
+-include("../main/hipe.hrl").
+-include("hipe_rtl.hrl").
+-include("../flow/cfg.hrl").
+
+%%-define(LCM_DEBUG, true). %% When defined and true, produces debug printouts
+
+%%=============================================================================
+
+%%
+%% @doc Performs Lazy Code Motion on RTL.
+%%
+
+-spec rtl_lcm(cfg(), comp_options()) -> cfg().
+
+rtl_lcm(CFG, Options) ->
+ %% Perform pre-calculation of the data sets.
+ ?opt_start_timer("RTL LCM precalc"),
+ {NodeInfo, EdgeInfo, AllExpr, ExprMap, IdMap, Labels} = lcm_precalc(CFG, Options),
+ ?opt_stop_timer("RTL LCM precalc"),
+ %% {NodeInfo, EdgeInfo, AllExpr, ExprMap, Labels} =
+ %% ?option_time(lcm_precalc(CFG, Options), "RTL LCM precalc", Options),
+
+ pp_debug("-------------------------------------------------~n",[]),
+ %% pp_debug( "~w~n", [MFA]),
+
+ %% A check if we should pretty print the result.
+ case proplists:get_bool(pp_rtl_lcm, Options) of
+ true->
+ pp_debug("-------------------------------------------------~n",[]),
+ %% pp_debug("AllExpr: ~w~n", [AllExpr]),
+ pp_debug("AllExpr:~n", []),
+ pp_exprs(ExprMap, IdMap, ?SETS:to_list(AllExpr)),
+ %% pp_sets(ExprMap, NodeInfo, EdgeInfo, AllExpr, CFG2<-ERROR!, Labels);
+ pp_sets(ExprMap, IdMap, NodeInfo, EdgeInfo, AllExpr, CFG, Labels);
+ _ ->
+ ok
+ end,
+
+ pp_debug("-------------------------------------------------~n",[]),
+ ?option_time({CFG1, MoveSet} = perform_lcm(CFG, NodeInfo, EdgeInfo, ExprMap,
+ IdMap, AllExpr, mk_edge_bb_map(),
+ ?SETS:new(), Labels),
+ "RTL LCM perform_lcm", Options),
+
+ %% Scan through list of moved expressions and replace their
+ %% assignments with the new temporary created for that expression
+ MoveList = ?SETS:to_list(MoveSet),
+ ?option_time(CFG2 = moved_expr_replace_assignments(CFG1, ExprMap, IdMap,
+ MoveList),
+ "RTL LCM moved_expr_replace_assignments", Options),
+ pp_debug("-------------------------------------------------~n~n",[]),
+
+ CFG2.
+
+%%=============================================================================
+%% Performs lazy code motion given the pre-calculated data sets.
+perform_lcm(CFG, _, _, _, _, _, _, MoveSet, []) ->
+ {CFG, MoveSet};
+perform_lcm(CFG0, NodeInfo, EdgeInfo, ExprMap, IdMap, AllExp, BetweenMap,
+ MoveSet0, [Label|Labels]) ->
+ Code0 = hipe_bb:code(hipe_rtl_cfg:bb(CFG0, Label)),
+ DeleteSet = delete(NodeInfo, Label),
+
+ %% Check if something should be deleted from this block.
+ {CFG1, MoveSet1} =
+ case ?SETS:size(DeleteSet) > 0 of
+ true ->
+ pp_debug("Label ~w: Expressions Deleted: ~n", [Label]),
+ Code1 = delete_exprs(Code0, ExprMap, IdMap, ?SETS:to_list(DeleteSet)),
+ BB = hipe_bb:mk_bb(Code1),
+ {hipe_rtl_cfg:bb_add(CFG0, Label, BB),
+ ?SETS:union(MoveSet0, DeleteSet)};
+ false ->
+ {CFG0, MoveSet0}
+ end,
+
+ Succs = hipe_rtl_cfg:succ(CFG1, Label),
+
+ %% Go through the list of successors and insert expression where needed.
+ %% Also collect a list of expressions that are inserted somewhere
+ {CFG2, NewBetweenMap, MoveSet2} =
+ lists:foldl(fun(Succ, {CFG, BtwMap, MoveSet}) ->
+ InsertSet = calc_insert_edge(NodeInfo, EdgeInfo,
+ Label, Succ),
+ %% Check if something should be inserted on this edge.
+ case ?SETS:size(InsertSet) > 0 of
+ true ->
+ pp_debug("Label ~w: Expressions Inserted for Successor: ~w~n", [Label, Succ]),
+ InsertList = ?SETS:to_list(InsertSet),
+ {NewCFG, NewBtwMap} =
+ insert_exprs(CFG, Label, Succ, ExprMap, IdMap,
+ BtwMap, InsertList),
+ {NewCFG, NewBtwMap, ?SETS:union(MoveSet, InsertSet)};
+ false ->
+ {CFG, BtwMap, MoveSet}
+ end
+ end,
+ {CFG1, BetweenMap, MoveSet1}, Succs),
+
+ perform_lcm(CFG2, NodeInfo, EdgeInfo, ExprMap, IdMap, AllExp, NewBetweenMap,
+ MoveSet2, Labels).
+
+%%=============================================================================
+%% Scan through list of moved expressions and replace their
+%% assignments with the new temporary created for that expression.
+moved_expr_replace_assignments(CFG, _, _, []) ->
+ CFG;
+moved_expr_replace_assignments(CFG0, ExprMap, IdMap, [ExprId|Exprs]) ->
+ Expr = expr_id_map_get_expr(IdMap, ExprId),
+ case expr_map_lookup(ExprMap, Expr) of
+ {value, {_, ReplaceList, NewReg}} ->
+ CFG1 = lists:foldl(fun({Label, Reg}, CFG) ->
+ %% Find and replace expression in block
+ pp_debug("Label ~w: Expressions Replaced:~n", [Label]),
+ Code0 = hipe_bb:code(hipe_rtl_cfg:bb(CFG, Label)),
+ Code1 =
+ moved_expr_do_replacement(expr_set_dst(Expr, Reg),
+ Reg, NewReg, Code0),
+ hipe_rtl_cfg:bb_add(CFG, Label, hipe_bb:mk_bb(Code1))
+ end, CFG0, ReplaceList),
+ moved_expr_replace_assignments(CFG1, ExprMap, IdMap, Exprs);
+ none ->
+ moved_expr_replace_assignments(CFG0, ExprMap, IdMap, Exprs)
+ end.
+
+moved_expr_do_replacement(_, _, _, []) ->
+ [];
+moved_expr_do_replacement(Expr, Reg, NewReg, [Expr|Instrs]) ->
+ NewExpr = expr_set_dst(Expr, NewReg),
+ Move = mk_expr_move_instr(Reg, NewReg),
+ pp_debug(" Replacing:~n", []),
+ pp_debug_instr(Expr),
+ pp_debug(" With:~n", []),
+ pp_debug_instr(NewExpr),
+ pp_debug_instr(Move),
+ [NewExpr, Move | moved_expr_do_replacement(Expr, Reg, NewReg, Instrs)];
+moved_expr_do_replacement(Expr, Reg, NewReg, [Instr|Instrs]) ->
+ [Instr | moved_expr_do_replacement(Expr, Reg, NewReg, Instrs)].
+
+%%=============================================================================
+%% Goes through the given list of expressions and deletes them from the code.
+%% NOTE We do not actually delete an expression, but instead we replace it
+%% with an assignment from the new temporary containing the result of the
+%% expressions which is guaranteed to have been calculated earlier in
+%% the code.
+delete_exprs(Code, _, _, []) ->
+ Code;
+delete_exprs(Code, ExprMap, IdMap, [ExprId|Exprs]) ->
+ Expr = expr_id_map_get_expr(IdMap, ExprId),
+ %% Perform a foldl that goes through the code and deletes all
+ %% occurences of the expression.
+ NewCode =
+ lists:reverse
+ (lists:foldl(fun(CodeExpr, Acc) ->
+ case is_expr(CodeExpr) of
+ true ->
+ case expr_clear_dst(CodeExpr) =:= Expr of
+ true ->
+ pp_debug(" Deleting: ", []),
+ pp_debug_instr(CodeExpr),
+ %% Lookup expression entry.
+ Defines =
+ case expr_map_lookup(ExprMap, Expr) of
+ {value, {_, _, Defs}} ->
+ Defs;
+ none ->
+ exit({?MODULE, expr_map_lookup,
+ "expression missing"})
+ end,
+ MoveCode =
+ mk_expr_move_instr(hipe_rtl:defines(CodeExpr),
+ Defines),
+ pp_debug(" Replacing with: ", []),
+ pp_debug_instr(MoveCode),
+ [MoveCode|Acc];
+ false ->
+ [CodeExpr|Acc]
+ end;
+ false ->
+ [CodeExpr|Acc]
+ end
+ end,
+ [], Code)),
+ delete_exprs(NewCode, ExprMap, IdMap, Exprs).
+
+%%=============================================================================
+%% Goes through the given list of expressions and inserts them at
+%% appropriate places in the code.
+insert_exprs(CFG, _, _, _, _, BetweenMap, []) ->
+ {CFG, BetweenMap};
+insert_exprs(CFG, Pred, Succ, ExprMap, IdMap, BetweenMap, [ExprId|Exprs]) ->
+ Expr = expr_id_map_get_expr(IdMap, ExprId),
+ Instr = expr_map_get_instr(ExprMap, Expr),
+ case hipe_rtl_cfg:succ(CFG, Pred) of
+ [_] ->
+ pp_debug(" Inserted last: ", []),
+ pp_debug_instr(Instr),
+ NewCFG = insert_expr_last(CFG, Pred, Instr),
+ insert_exprs(NewCFG, Pred, Succ, ExprMap, IdMap, BetweenMap, Exprs);
+ _ ->
+ case hipe_rtl_cfg:pred(CFG, Succ) of
+ [_] ->
+ pp_debug(" Inserted first: ", []),
+ pp_debug_instr(Instr),
+ NewCFG = insert_expr_first(CFG, Succ, Instr),
+ insert_exprs(NewCFG, Pred, Succ, ExprMap, IdMap, BetweenMap, Exprs);
+ _ ->
+ pp_debug(" Inserted between: ", []),
+ pp_debug_instr(Instr),
+ {NewCFG, NewBetweenMap} =
+ insert_expr_between(CFG, BetweenMap, Pred, Succ, Instr),
+ insert_exprs(NewCFG, Pred, Succ, ExprMap, IdMap, NewBetweenMap, Exprs)
+ end
+ end.
+
+%%=============================================================================
+%% Recursively goes through the code in a block and returns a new block
+%% with the new code inserted second to last (assuming the last expression
+%% is a branch operation).
+insert_expr_last(CFG0, Label, Instr) ->
+ Code0 = hipe_bb:code(hipe_rtl_cfg:bb(CFG0, Label)),
+ %% FIXME: Use hipe_bb:butlast() instead?
+ Code1 = insert_expr_last_work(Label, Instr, Code0),
+ hipe_rtl_cfg:bb_add(CFG0, Label, hipe_bb:mk_bb(Code1)).
+
+%%=============================================================================
+%% Recursively goes through the code in a block and returns a new block
+%% with the new code inserted second to last (assuming the last expression
+%% is a branch operation).
+insert_expr_last_work(_, Instr, []) ->
+ %% This case should not happen since this means that block was completely
+ %% empty when the function was called. For compability we insert it last.
+ [Instr];
+insert_expr_last_work(_, Instr, [Code1]) ->
+ %% We insert the code next to last.
+ [Instr, Code1];
+insert_expr_last_work(Label, Instr, [Code|Codes]) ->
+ [Code|insert_expr_last_work(Label, Instr, Codes)].
+
+%%=============================================================================
+%% Inserts expression first in the block for the given label.
+insert_expr_first(CFG0, Label, Instr) ->
+ %% The first instruction is always a label
+ [Lbl|Code0] = hipe_bb:code(hipe_rtl_cfg:bb(CFG0, Label)),
+ Code1 = [Lbl, Instr | Code0],
+ hipe_rtl_cfg:bb_add(CFG0, Label, hipe_bb:mk_bb(Code1)).
+
+%%=============================================================================
+%% Inserts an expression on and edge between two existing blocks.
+%% It creates a new basic block to hold the expression.
+%% Created bbs are inserted into BetweenMap to be able to reuse them for
+%% multiple inserts on the same edge.
+%% NOTE Currently creates multiple blocks for identical expression with the
+%% same successor. Since the new bb usually contains very few instructions
+%% this should not be a problem.
+insert_expr_between(CFG0, BetweenMap, Pred, Succ, Instr) ->
+ PredSucc = {Pred, Succ},
+ case edge_bb_map_lookup(BetweenMap, PredSucc) of
+ none ->
+ NewLabel = hipe_rtl:mk_new_label(),
+ NewLabelName = hipe_rtl:label_name(NewLabel),
+ pp_debug(" Creating new bb ~w~n", [NewLabel]),
+ Code = [Instr, hipe_rtl:mk_goto(Succ)],
+ CFG1 = hipe_rtl_cfg:bb_add(CFG0, NewLabelName, hipe_bb:mk_bb(Code)),
+ CFG2 = hipe_rtl_cfg:redirect(CFG1, Pred, Succ, NewLabelName),
+ NewBetweenMap = edge_bb_map_insert(BetweenMap, PredSucc, NewLabelName),
+ pp_debug(" Mapping edge (~w,~w) to label ~w~n",
+ [Pred, Succ, NewLabelName]),
+ {CFG2, NewBetweenMap};
+ {value, Label} ->
+ pp_debug(" Using existing new bb for edge (~w,~w) with label ~w~n",
+ [Pred, Succ, Label]),
+ {insert_expr_last(CFG0, Label, Instr), BetweenMap}
+ end.
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%% GENERAL UTILITY FUNCTIONS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%=============================================================================
+%% Returns true if the list of registers only contains virtual registers and
+%% no machine registers.
+no_machine_regs([]) ->
+ true;
+no_machine_regs([Reg|Regs]) ->
+ case hipe_rtl:is_reg(Reg) of
+ true ->
+ N = hipe_rtl:reg_index(Reg),
+ (N >= hipe_rtl_arch:first_virtual_reg()) andalso no_machine_regs(Regs);
+ _ ->
+ case hipe_rtl:is_fpreg(Reg) of
+ true ->
+ N = hipe_rtl:fpreg_index(Reg),
+ (N >= hipe_rtl_arch:first_virtual_reg()) andalso no_machine_regs(Regs);
+ _ ->
+ no_machine_regs(Regs)
+ end
+ end.
+
+%%=============================================================================
+%% Returns true if an RTL instruction is an expression.
+%%
+is_expr(I) ->
+ Defines = hipe_rtl:defines(I),
+ Uses = hipe_rtl:uses(I),
+
+ %% We don't cosider something that doesn't define anything as an expression.
+ %% Also we don't consider machine registers to be expressions.
+ case length(Defines) > 0 andalso no_machine_regs(Defines)
+ andalso no_machine_regs(Uses) of
+ true ->
+ case I of
+ #alu{} -> true;
+%% #alu{} ->
+%% Dst = hipe_rtl:alu_dst(I),
+%% Src1 = hipe_rtl:alu_src1(I),
+%% Src2 = hipe_rtl:alu_src2(I),
+
+ %% Check if dst updates src
+%% case Dst =:= Src1 orelse Dst =:= Src2 of
+%% true ->
+%% false;
+%% false ->
+%% true
+%% end;
+
+ %% Check if alu expression is untagging of boxed (rX <- vX sub 2)
+%% case hipe_rtl:is_reg(Dst) andalso hipe_rtl:is_var(Src1) andalso
+%% (hipe_rtl:alu_op(I) =:= sub) andalso hipe_rtl:is_imm(Src2) of
+%% true ->
+%% case hipe_rtl:imm_value(Src2) of
+%% 2 -> false; %% Tag for boxed. TODO: Should not be hardcoded...
+%% _ -> true
+%% end;
+%% false ->
+%% true
+%% end;
+
+ #alub{} -> false; %% TODO: Split instruction to consider alu expression?
+ #branch{} -> false;
+ #call{} -> false; %% We cannot prove that a call has no side-effects
+ #comment{} -> false;
+ #enter{} -> false;
+ %% #fail_to{} -> false; %% Deprecated?
+ #fconv{} -> true;
+ #fixnumop{} -> true;
+ #fload{} -> true;
+ #fmove{} -> false;
+ #fp{} -> true;
+ #fp_unop{} -> true;
+ #fstore{} -> false;
+ #goto{} -> false;
+ #goto_index{} -> false;
+ #gctest{} -> false;
+ #label{} -> false;
+ #load{} -> true;
+ #load_address{} ->
+ case hipe_rtl:load_address_type(I) of
+ c_const -> false;
+ closure -> false; %% not sure whether safe to move;
+ %% also probably not worth it
+ constant -> true
+ end;
+ #load_atom{} -> true;
+ #load_word_index{} -> true;
+ #move{} -> false;
+ #multimove{} -> false;
+ #phi{} -> false;
+ #return{} -> false;
+ #store{} -> false;
+ #switch{} -> false
+ end;
+ false ->
+ false
+ end.
+
+%%=============================================================================
+%% Replaces destination of RTL expression with empty list.
+%%
+expr_set_dst(I, [Dst|_Dsts] = DstList) ->
+ case I of
+ #alu{} -> hipe_rtl:alu_dst_update(I, Dst);
+ #call{} -> hipe_rtl:call_dstlist_update(I, DstList);
+ #fconv{} -> hipe_rtl:fconv_dst_update(I, Dst);
+ #fixnumop{} -> hipe_rtl:fixnumop_dst_update(I, Dst);
+ #fload{} -> hipe_rtl:fload_dst_update(I, Dst);
+ %% #fmove{} -> hipe_rtl:fmove_dst_update(I, Dst);
+ #fp{} -> hipe_rtl:fp_dst_update(I, Dst);
+ #fp_unop{} -> hipe_rtl:fp_unop_dst_update(I, Dst);
+ #load{} -> hipe_rtl:load_dst_update(I, Dst);
+ #load_address{} -> hipe_rtl:load_address_dst_update(I, Dst);
+ #load_atom{} -> hipe_rtl:load_atom_dst_update(I, Dst);
+ #load_word_index{} -> hipe_rtl:load_word_index_dst_update(I, Dst);
+ %% #move{} -> hipe_rtl:move_dst_update(I, Dst);
+ _ -> exit({?MODULE, expr_set_dst, "bad expression"})
+ end.
+
+%%=============================================================================
+%% Replaces destination of RTL expression with empty list.
+%%
+expr_clear_dst(I) ->
+ case I of
+ #alu{} -> hipe_rtl:alu_dst_update(I, nil);
+ #call{} -> hipe_rtl:call_dstlist_update(I, nil);
+ #fconv{} -> hipe_rtl:fconv_dst_update(I, nil);
+ #fixnumop{} -> hipe_rtl:fixnumop_dst_update(I, nil);
+ #fload{} -> hipe_rtl:fload_dst_update(I, nil);
+ %% #fmove{} -> hipe_rtl:fmove_dst_update(I, nil);
+ #fp{} -> hipe_rtl:fp_dst_update(I, nil);
+ #fp_unop{} -> hipe_rtl:fp_unop_dst_update(I, nil);
+ #load{} -> hipe_rtl:load_dst_update(I, nil);
+ #load_address{} -> hipe_rtl:load_address_dst_update(I, nil);
+ #load_atom{} -> hipe_rtl:load_atom_dst_update(I, nil);
+ #load_word_index{} -> hipe_rtl:load_word_index_dst_update(I, nil);
+ %% #move{} -> hipe_rtl:move_dst_update(I, nil);
+ _ -> exit({?MODULE, expr_clear_dst, "bad expression"})
+ end.
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%% PRECALC FUNCTIONS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%=============================================================================
+%% Pre-calculates the flow analysis and puts the calculated sets in maps for
+%% easy access later.
+lcm_precalc(CFG, Options) ->
+ %% Calculate use map and expression map.
+ ?option_time({ExprMap, IdMap} = mk_expr_map(CFG),
+ "RTL LCM mk_expr_map", Options),
+ ?option_time(UseMap = mk_use_map(CFG, ExprMap),
+ "RTL LCM mk_use_map", Options),
+ %% Labels = hipe_rtl_cfg:reverse_postorder(CFG),
+ Labels = hipe_rtl_cfg:labels(CFG),
+ %% StartLabel = hipe_rtl_cfg:start_label(CFG),
+ %% AllExpr = all_exprs(CFG, Labels),
+ AllExpr = ?SETS:from_list(gb_trees:keys(IdMap)),
+
+ %% Calculate the data sets.
+ ?option_time(NodeInfo0 = mk_node_info(Labels), "RTL LCM mk_node_info",
+ Options),
+ %% ?option_time(EdgeInfo0 = mk_edge_info(), "RTL LCM mk_edge_info",
+ %% Options),
+ EdgeInfo0 = mk_edge_info(),
+ ?option_time(NodeInfo1 = calc_up_exp(CFG, ExprMap, NodeInfo0, Labels),
+ "RTL LCM calc_up_exp", Options),
+ ?option_time(NodeInfo2 = calc_down_exp(CFG, ExprMap, NodeInfo1, Labels),
+ "RTL LCM calc_down_exp", Options),
+ ?option_time(NodeInfo3 = calc_killed_expr(CFG, NodeInfo2, UseMap, AllExpr,
+ Labels),
+ "RTL LCM calc_killed_exp", Options),
+ ?option_time(NodeInfo4 = calc_avail(CFG, NodeInfo3),
+ "RTL LCM calc_avail", Options),
+ ?option_time(NodeInfo5 = calc_antic(CFG, NodeInfo4, AllExpr),
+ "RTL LCM calc_antic", Options),
+ ?option_time(EdgeInfo1 = calc_earliest(CFG, NodeInfo5, EdgeInfo0, Labels),
+ "RTL LCM calc_earliest", Options),
+ ?option_time({NodeInfo6, EdgeInfo2} = calc_later(CFG, NodeInfo5, EdgeInfo1),
+ "RTL LCM calc_later", Options),
+ ?option_time(NodeInfo7 = calc_delete(CFG, NodeInfo6, Labels),
+ "RTL LCM calc_delete", Options),
+ {NodeInfo7, EdgeInfo2, AllExpr, ExprMap, IdMap, Labels}.
+
+%%%%%%%%%%%%%%%%%%% AVAILABLE IN/OUT FLOW ANALYSIS %%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Fixpoint calculation of anticipated in/out sets.
+%% Uses a worklist algorithm.
+%% Performs the avail in/out flow analysis.
+
+%%=============================================================================
+%% Calculates the available in/out sets, and returns an updated NodeInfo.
+
+calc_avail(CFG, NodeInfo) ->
+ StartLabel = hipe_rtl_cfg:start_label(CFG),
+ Work = init_work([StartLabel]),
+ %% Initialize start node
+ NewNodeInfo = set_avail_in(NodeInfo, StartLabel, ?SETS:new()),
+ calc_avail_fixpoint(Work, CFG, NewNodeInfo).
+
+calc_avail_fixpoint(Work, CFG, NodeInfo) ->
+ case get_work(Work) of
+ fixpoint ->
+ NodeInfo;
+ {Label, NewWork} ->
+ {NewNodeInfo, NewLabels} = calc_avail_node(Label, CFG, NodeInfo),
+ NewWork2 = add_work(NewWork, NewLabels),
+ calc_avail_fixpoint(NewWork2, CFG, NewNodeInfo)
+ end.
+
+calc_avail_node(Label, CFG, NodeInfo) ->
+ %% Get avail in
+ AvailIn = avail_in(NodeInfo, Label),
+
+ %% Calculate avail out
+ AvailOut = ?SETS:union(down_exp(NodeInfo, Label),
+ ?SETS:subtract(AvailIn,
+ killed_expr(NodeInfo, Label))),
+
+ {Changed, NodeInfo2} =
+ case avail_out(NodeInfo, Label) of
+ none ->
+ %% If there weren't any old avail out we use this one.
+ {true, set_avail_out(NodeInfo, Label, AvailOut)};
+ OldAvailOut ->
+ %% Check if the avail outs are equal.
+ case AvailOut =:= OldAvailOut of
+ true ->
+ {false, NodeInfo};
+ false ->
+ {true, set_avail_out(NodeInfo, Label, AvailOut)}
+ end
+ end,
+
+ case Changed of
+ true ->
+ %% Update AvailIn-sets of successors and add them to worklist
+ Succs = hipe_rtl_cfg:succ(CFG, Label),
+ NodeInfo3 =
+ lists:foldl
+ (fun(Succ, NewNodeInfo) ->
+ case avail_in(NewNodeInfo, Succ) of
+ none ->
+ %% Initialize avail in to all expressions
+ set_avail_in(NewNodeInfo, Succ, AvailOut);
+ OldAvailIn ->
+ set_avail_in(NewNodeInfo, Succ,
+ ?SETS:intersection(OldAvailIn, AvailOut))
+ end
+ end,
+ NodeInfo2, Succs),
+ {NodeInfo3, Succs};
+ false ->
+ {NodeInfo2, []}
+ end.
+
+%%%%%%%%%%%%%%%%%% ANTICIPATED IN/OUT FLOW ANALYSIS %%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Fixpoint calculation of anticipated in/out sets.
+%% Uses a worklist algorithm.
+
+%%=============================================================================
+%% Calculates the anicipated in/out sets, and returns an updated NodeInfo.
+calc_antic(CFG, NodeInfo, AllExpr) ->
+ %% Initialize worklist with all nodes in postorder
+ Labels = hipe_rtl_cfg:postorder(CFG),
+ Work = init_work(Labels),
+ calc_antic_fixpoint(Work, CFG, NodeInfo, AllExpr).
+
+calc_antic_fixpoint(Work, CFG, NodeInfo, AllExpr) ->
+ case get_work(Work) of
+ fixpoint ->
+ NodeInfo;
+ {Label, NewWork} ->
+ {NewNodeInfo, NewLabels} = calc_antic_node(Label, CFG, NodeInfo, AllExpr),
+ NewWork2 = add_work(NewWork, NewLabels),
+ calc_antic_fixpoint(NewWork2, CFG, NewNodeInfo, AllExpr)
+ end.
+
+calc_antic_node(Label, CFG, NodeInfo, AllExpr) ->
+ %% Get antic out
+ AnticOut =
+ case antic_out(NodeInfo, Label) of
+ none ->
+ case is_exit_label(CFG, Label) of
+ true ->
+ ?SETS:new();
+ false ->
+ AllExpr
+ end;
+
+ AnticOutTemp -> AnticOutTemp
+ end,
+
+ %% Calculate antic in
+ AnticIn = ?SETS:union(up_exp(NodeInfo, Label),
+ ?SETS:subtract(AnticOut,
+ killed_expr(NodeInfo, Label))),
+ {Changed, NodeInfo2} =
+ case antic_in(NodeInfo, Label) of
+ %% If there weren't any old antic in we use this one.
+ none ->
+ {true, set_antic_in(NodeInfo, Label, AnticIn)};
+
+ OldAnticIn ->
+ %% Check if the antic in:s are equal.
+ case AnticIn =:= OldAnticIn of
+ true ->
+ {false, NodeInfo};
+ false ->
+ {true,
+ set_antic_in(NodeInfo, Label, AnticIn)}
+ end
+ end,
+
+ case Changed of
+ true ->
+ %% Update AnticOut-sets of predecessors and add them to worklist
+ Preds = hipe_rtl_cfg:pred(CFG, Label),
+ NodeInfo3 =
+ lists:foldl
+ (fun(Pred, NewNodeInfo) ->
+ case antic_out(NewNodeInfo, Pred) of
+ none ->
+ %% Initialize antic out to all expressions
+ set_antic_out(NewNodeInfo, Pred, AnticIn);
+ OldAnticOut ->
+ set_antic_out(NewNodeInfo, Pred,
+ ?SETS:intersection(OldAnticOut, AnticIn))
+ end
+ end,
+ NodeInfo2, Preds),
+ {NodeInfo3, Preds};
+ false ->
+ {NodeInfo2, []}
+ end.
+
+%%%%%%%%%%%%%%%%%%%%% LATER / LATER IN FLOW ANALYSIS %%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Fixpoint calculations of Later and LaterIn sets.
+%% Uses a worklist algorithm.
+%% Note that the Later set is calculated on edges.
+
+%%=============================================================================
+%% Calculates the Later and LaterIn sets, and returns updates of both
+%% NodeInfo (with LaterIn sets) and EdgeInfo (with Later sets).
+
+calc_later(CFG, NodeInfo, EdgeInfo) ->
+ StartLabel = hipe_rtl_cfg:start_label(CFG),
+ Work = init_work([{node, StartLabel}]),
+ %% Initialize start node
+ NewNodeInfo = set_later_in(NodeInfo, StartLabel, ?SETS:new()),
+ calc_later_fixpoint(Work, CFG, NewNodeInfo, EdgeInfo).
+
+calc_later_fixpoint(Work, CFG, NodeInfo, EdgeInfo) ->
+ case get_work(Work) of
+ {{edge, From, To}, Work2} ->
+ {NewNodeInfo, NewEdgeInfo, AddWork} =
+ calc_later_edge(From, To, CFG, NodeInfo, EdgeInfo),
+ Work3 = add_work(Work2, AddWork),
+ calc_later_fixpoint(Work3, CFG, NewNodeInfo, NewEdgeInfo);
+ {{node, Label}, Work2} ->
+ AddWork = calc_later_node(Label, CFG),
+ Work3 = add_work(Work2, AddWork),
+ calc_later_fixpoint(Work3, CFG, NodeInfo, EdgeInfo);
+ fixpoint ->
+ {NodeInfo, EdgeInfo}
+ end.
+
+calc_later_node(Label, CFG) ->
+ Succs = hipe_rtl_cfg:succ(CFG, Label),
+ [{edge, Label, Succ} || Succ <- Succs].
+
+calc_later_edge(From, To, _CFG, NodeInfo, EdgeInfo) ->
+ FromTo = {From, To},
+ Earliest = earliest(EdgeInfo, FromTo),
+ LaterIn = later_in(NodeInfo, From),
+ UpExp = up_exp(NodeInfo, From),
+ Later = ?SETS:union(Earliest, ?SETS:subtract(LaterIn, UpExp)),
+ {Changed, EdgeInfo2} =
+ case lookup_later(EdgeInfo, FromTo) of
+ none -> {true, set_later(EdgeInfo, FromTo, Later)};
+ Later -> {false, EdgeInfo};
+ _Old -> {true, set_later(EdgeInfo, FromTo, Later)}
+ end,
+ case Changed of
+ true ->
+ %% Update later in set of To-node
+ case lookup_later_in(NodeInfo, To) of
+ %% If the data isn't set initialize to all expressions
+ none ->
+ {set_later_in(NodeInfo, To, Later), EdgeInfo2, [{node, To}]};
+ OldLaterIn ->
+ NewLaterIn = ?SETS:intersection(OldLaterIn, Later),
+ %% Check if something changed
+ %% FIXME: Implement faster equality test?
+ case NewLaterIn =:= OldLaterIn of
+ true ->
+ {NodeInfo, EdgeInfo2, []};
+ false ->
+ {set_later_in(NodeInfo, To, NewLaterIn),
+ EdgeInfo2, [{node, To}]}
+ end
+ end;
+ false ->
+ {NodeInfo, EdgeInfo2, []}
+ end.
+
+%%%%%%%%%%%%%%%%%% UPWARDS/DOWNWARDS EXPOSED EXPRESSIONS %%%%%%%%%%%%%%%%%%%%%%
+%% Calculates upwards and downwards exposed expressions.
+
+%%=============================================================================
+%% Calculates the downwards exposed expression sets for the given labels in
+%% the CFG.
+calc_down_exp(_, _, NodeInfo, []) ->
+ NodeInfo;
+calc_down_exp(CFG, ExprMap, NodeInfo, [Label|Labels]) ->
+ Code = hipe_bb:code(hipe_rtl_cfg:bb(CFG, Label)),
+ %% Data = ?SETS:from_list(lists:map(fun expr_clear_dst/1, exp_work(Code))),
+ Data = ?SETS:from_list(get_expr_ids(ExprMap, exp_work(Code))),
+ NewNodeInfo = set_down_exp(NodeInfo, Label, Data),
+ calc_down_exp(CFG, ExprMap, NewNodeInfo, Labels).
+
+%%=============================================================================
+%% Calculates the upwards exposed expressions sets for the given labels in
+%% the CFG.
+calc_up_exp(_, _, NodeInfo, []) ->
+ NodeInfo;
+calc_up_exp(CFG, ExprMap, NodeInfo, [Label|Labels]) ->
+ BB = hipe_rtl_cfg:bb(CFG, Label),
+ RevCode = lists:reverse(hipe_bb:code(BB)),
+ Data = ?SETS:from_list(get_expr_ids(ExprMap, exp_work(RevCode))),
+ NewNodeInfo = set_up_exp(NodeInfo, Label, Data),
+ calc_up_exp(CFG, ExprMap, NewNodeInfo, Labels).
+
+%%=============================================================================
+%% Given a list of expression instructions, gets a list of expression ids
+%% from an expression map.
+get_expr_ids(ExprMap, Instrs) ->
+ [expr_map_get_id(ExprMap, expr_clear_dst(I)) || I <- Instrs].
+
+%%=============================================================================
+%% Does the work of the calc_*_exp functions.
+exp_work(Code) ->
+ exp_work([], Code).
+
+exp_work([], [Instr|Instrs]) ->
+ case is_expr(Instr) of
+ true ->
+ exp_work([Instr], Instrs);
+ false ->
+ exp_work([], Instrs)
+ end;
+exp_work(Exprs, []) ->
+ Exprs;
+exp_work(Exprs, [Instr|Instrs]) ->
+ NewExprs = case is_expr(Instr) of
+ true ->
+ exp_kill_expr(Instr, [Instr|Exprs]);
+ false ->
+ exp_kill_expr(Instr, Exprs)
+ end,
+ exp_work(NewExprs, Instrs).
+
+%%=============================================================================
+%% Checks if the given instruction redefines any operands of
+%% instructions in the instruction list.
+%% It returns the list of expressions with those instructions that has
+%% operands redefined removed.
+exp_kill_expr(_Instr, []) ->
+ [];
+exp_kill_expr(Instr, [CheckedExpr|Exprs]) ->
+ %% Calls, gctests and stores potentially clobber everything
+ case Instr of
+ #call{} -> [];
+ #gctest{} -> [];
+ #store{} -> []; %% FIXME: Only regs and vars clobbered, not fregs...
+ #fstore{} ->
+ %% fstore potentially clobber float expressions
+ [ExprDefine|_] = hipe_rtl:defines(CheckedExpr),
+ case hipe_rtl:is_fpreg(ExprDefine) of
+ true ->
+ exp_kill_expr(Instr, Exprs);
+ false ->
+ [CheckedExpr | exp_kill_expr(Instr, Exprs)]
+ end;
+ _ ->
+ InstrDefines = hipe_rtl:defines(Instr),
+ ExprUses = hipe_rtl:uses(CheckedExpr),
+ Diff = ExprUses -- InstrDefines,
+ case length(Diff) < length(ExprUses) of
+ true ->
+ exp_kill_expr(Instr, Exprs);
+ false ->
+ [CheckedExpr | exp_kill_expr(Instr, Exprs)]
+ end
+ end.
+
+%%%%%%%%%%%%%%%%%%%%%%%% KILLED EXPRESSIONS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%=============================================================================
+%% Calculates the killed expression sets for all given labels.
+calc_killed_expr(_, NodeInfo, _, _, []) ->
+ NodeInfo;
+calc_killed_expr(CFG, NodeInfo, UseMap, AllExpr, [Label|Labels]) ->
+ Code = hipe_bb:code(hipe_rtl_cfg:bb(CFG, Label)),
+ KilledExprs = calc_killed_expr_bb(Code, UseMap, AllExpr, ?SETS:new()),
+ NewNodeInfo = set_killed_expr(NodeInfo, Label, KilledExprs),
+ calc_killed_expr(CFG, NewNodeInfo, UseMap, AllExpr, Labels).
+
+%%=============================================================================
+%% Calculates the killed expressions set for one basic block.
+calc_killed_expr_bb([], _UseMap, _AllExpr, KilledExprs) ->
+ KilledExprs;
+calc_killed_expr_bb([Instr|Instrs], UseMap, AllExpr, KilledExprs) ->
+ %% Calls, gctests and stores potentially clobber everything
+ case Instr of
+ #call{} -> AllExpr;
+ #gctest{} -> AllExpr;
+ #store{} -> AllExpr; %% FIXME: Only regs and vars clobbered, not fregs...
+ #fstore{} ->
+ %% Kill all float expressions
+ %% FIXME: Make separate function is_fp_expr
+ ?SETS:from_list
+ (lists:foldl(fun(Expr, Fexprs) ->
+ [Define|_] = hipe_rtl:defines(Expr),
+ case hipe_rtl:is_fpreg(Define) of
+ true ->
+ [Expr|Fexprs];
+ false ->
+ Fexprs
+ end
+ end, [], ?SETS:to_list(AllExpr)));
+ _ ->
+ case hipe_rtl:defines(Instr) of
+ [] ->
+ calc_killed_expr_bb(Instrs, UseMap, AllExpr, KilledExprs);
+ [Define|_] ->
+ NewKilledExprs = use_map_get_expr_uses(UseMap, Define),
+ calc_killed_expr_bb(Instrs, UseMap, AllExpr,
+ ?SETS:union(NewKilledExprs, KilledExprs))
+ end
+ end.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%% EARLIEST %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%=============================================================================
+%% Calculates the earliest set for all edges in the CFG.
+
+calc_earliest(_, _, EdgeInfo, []) ->
+ EdgeInfo;
+calc_earliest(CFG, NodeInfo, EdgeInfo, [To|Labels]) ->
+ EmptySet = ?SETS:new(),
+ Preds = hipe_rtl_cfg:pred(CFG, To),
+ NewEdgeInfo =
+ case EmptySet =:= antic_in(NodeInfo, To) of
+ true ->
+ %% Earliest is empty for all edges into this block.
+ lists:foldl(fun(From, EdgeInfoAcc) ->
+ set_earliest(EdgeInfoAcc, {From, To}, EmptySet)
+ end, EdgeInfo, Preds);
+ false ->
+ lists:foldl(fun(From, EdgeInfoAcc) ->
+ IsStartLabel = (From =:= hipe_rtl_cfg:start_label(CFG)),
+ Earliest =
+ calc_earliest_edge(NodeInfo, IsStartLabel, From, To),
+ set_earliest(EdgeInfoAcc, {From, To}, Earliest)
+ end, EdgeInfo, Preds)
+ end,
+ calc_earliest(CFG, NodeInfo, NewEdgeInfo, Labels).
+
+%%=============================================================================
+%% Calculates the earliest set for one edge.
+
+calc_earliest_edge(NodeInfo, IsStartLabel, From, To) ->
+ AnticIn = antic_in(NodeInfo, To),
+ AvailOut = avail_out(NodeInfo, From),
+
+ case IsStartLabel of
+ true ->
+ ?SETS:subtract(AnticIn, AvailOut);
+ false ->
+ AnticOut = antic_out(NodeInfo, From),
+ ExprKill = killed_expr(NodeInfo, From),
+ ?SETS:subtract(?SETS:subtract(AnticIn, AvailOut),
+ ?SETS:subtract(AnticOut, ExprKill))
+ end.
+%% The above used to be:
+%%
+%% ?SETS:intersection(?SETS:subtract(AnticIn, AvailOut),
+%% ?SETS:union(ExprKill, ?SETS:subtract(AllExpr, AnticOut)))
+%%
+%% But it is costly to use the AllExpr, so let's do some tricky set algebra.
+%%
+%% Let A = AnticIn, B = AvailOut, C = ExprKill, D = AnticOut, U = AllExpr
+%% Let n = intersection, u = union, ' = inverse
+%%
+%% Then
+%% (A - B) n (C u (U - D)) = <Remove D unless it is in C>
+%% = (A - B) n ((C u U) - (D - C)) = <But U is the whole universe>
+%% = (A - B) n (U - (D - C)) = <We are really meaning the complement>
+%% = (A - B) n (D - C)' = <Intersection w complement is subtraction>
+%% = (A - B) - (D - C) <Simple enough, let's stop>
+%%
+%% or in other words
+%% ?SETS:subtract(?SETS:subtract(AnticIn, AvailOut),
+%% ?SETS:subtract(AnticOut, ExprKill))
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%% INSERT / DELETE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%=============================================================================
+%% Calculates the insert set for one edge and returns the resulting set.
+%% NOTE This does not modify the EdgeInfo set, since the resulting set is
+%% returned and used immediately, instead of being pre-calculated as are
+%% the other sets.
+calc_insert_edge(NodeInfo, EdgeInfo, From, To) ->
+ Later = later(EdgeInfo, {From, To}),
+ LaterIn = later_in(NodeInfo, To),
+ ?SETS:subtract(Later, LaterIn).
+
+%%=============================================================================
+%% Calculates the delete set for all given labels in a CFG.
+calc_delete(_, NodeInfo, []) ->
+ NodeInfo;
+calc_delete(CFG, NodeInfo, [Label|Labels]) ->
+ case Label =:= hipe_rtl_cfg:start_label(CFG) of
+ true ->
+ NewNodeInfo = set_delete(NodeInfo, Label, ?SETS:new());
+ false ->
+ UpExp = up_exp(NodeInfo, Label),
+ LaterIn = later_in(NodeInfo, Label),
+ Delete = ?SETS:subtract(UpExp, LaterIn),
+ NewNodeInfo = set_delete(NodeInfo, Label, Delete)
+ end,
+ calc_delete(CFG, NewNodeInfo, Labels).
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%% FIXPOINT FUNCTIONS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%=============================================================================
+%% Worklist used by the fixpoint calculations.
+%%
+%% We use gb_sets here, which is optimized for continuous inserts and
+%% membership tests.
+
+init_work(Labels) ->
+ {Labels, [], gb_sets:from_list(Labels)}.
+
+get_work({[Label|Left], List, Set}) ->
+ NewWork = {Left, List, gb_sets:delete(Label, Set)},
+ {Label, NewWork};
+get_work({[], [], _Set}) ->
+ fixpoint;
+get_work({[], List, Set}) ->
+ get_work({lists:reverse(List), [], Set}).
+
+add_work(Work = {List1, List2, Set}, [Label|Labels]) ->
+ case gb_sets:is_member(Label, Set) of
+ true ->
+ add_work(Work, Labels);
+ false ->
+ %%io:format("Adding work: ~w\n", [Label]),
+ add_work({List1, [Label|List2], gb_sets:insert(Label, Set)}, Labels)
+ end;
+add_work(Work, []) ->
+ Work.
+
+%%=============================================================================
+%% Calculates the labels that are the exit labels.
+%% FIXME We do not detect dead-end loops spanning more than one block.
+%% This could potentially cause a bug in the future...
+%% exit_labels(CFG) ->
+%% Labels = hipe_rtl_cfg:labels(CFG),
+%% lists:foldl(fun(Label, ExitLabels) ->
+%% Succs = hipe_rtl_cfg:succ(CFG, Label),
+%% case Succs of
+%% [] ->
+%% [Label|ExitLabels];
+%% [Label] -> %% Count single bb dead-end loops as exit labels
+%% [Label|ExitLabels];
+%% _ ->
+%% ExitLabels
+%% end
+%% end, [], Labels ).
+
+%%=============================================================================
+%% Return true if label is an exit label,
+%% i.e. its bb has no successors or itself as only successor.
+is_exit_label(CFG, Label) ->
+ case hipe_rtl_cfg:succ(CFG, Label) of
+ [] -> true;
+ [Label] -> true;
+ _ -> false
+ end.
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%% DATASET FUNCTIONS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% The dataset is a collection of data about the CFG.
+%% It is divided into two parts, NodeInfo and EdgeInfo.
+%% The pre-calculation step stores the calculated sets here.
+
+-record(node_data, {up_exp = none,
+ down_exp = none,
+ killed_expr = none,
+ avail_in = none,
+ avail_out = none,
+ antic_in = none,
+ antic_out = none,
+ later_in = none,
+ delete = none}).
+
+-record(edge_data, {earliest = none,
+ later = none,
+ insert = none}).
+
+%%=============================================================================
+%% Creates a node info from a CFG (one entry for each Label).
+mk_node_info(Labels) ->
+ lists:foldl(fun(Label, DataTree) ->
+ gb_trees:insert(Label, #node_data{}, DataTree)
+ %%gb_trees:enter(Label, #node_data{}, DataTree)
+ end,
+ gb_trees:empty(), Labels).
+
+%%mk_edge_info(Labels) ->
+%% FIXME Should we traverse cfg and initialize edges?
+mk_edge_info() ->
+ gb_trees:empty().
+
+%%=============================================================================
+%% Get methods
+up_exp(NodeInfo, Label) ->
+ Data = gb_trees:get(Label, NodeInfo),
+ Data#node_data.up_exp.
+
+down_exp(NodeInfo, Label) ->
+ Data = gb_trees:get(Label, NodeInfo),
+ Data#node_data.down_exp.
+
+killed_expr(NodeInfo, Label) ->
+ Data = gb_trees:get(Label, NodeInfo),
+ Data#node_data.killed_expr.
+
+avail_in(NodeInfo, Label) ->
+ Data = gb_trees:get(Label, NodeInfo),
+ Data#node_data.avail_in.
+
+avail_out(NodeInfo, Label) ->
+ Data = gb_trees:get(Label, NodeInfo),
+ Data#node_data.avail_out.
+
+antic_in(NodeInfo, Label) ->
+ Data = gb_trees:get(Label, NodeInfo),
+ Data#node_data.antic_in.
+
+antic_out(NodeInfo, Label) ->
+ Data = gb_trees:get(Label, NodeInfo),
+ Data#node_data.antic_out.
+
+later_in(NodeInfo, Label) ->
+ Data = gb_trees:get(Label, NodeInfo),
+ Data#node_data.later_in.
+
+lookup_later_in(NodeInfo, Label) ->
+ case gb_trees:lookup(Label, NodeInfo) of
+ none ->
+ none;
+ {value, #node_data{later_in = Data}} ->
+ Data
+ end.
+
+delete(NodeInfo, Label) ->
+ Data = gb_trees:get(Label, NodeInfo),
+ Data#node_data.delete.
+
+earliest(EdgeInfo, Edge) ->
+ Data = gb_trees:get(Edge, EdgeInfo),
+ Data#edge_data.earliest.
+
+-ifdef(LOOKUP_EARLIEST_NEEDED).
+lookup_earliest(EdgeInfo, Edge) ->
+ case gb_trees:lookup(Edge, EdgeInfo) of
+ none ->
+ none;
+ {value, #edge_data{earliest = Data}} ->
+ Data
+ end.
+-endif.
+
+later(EdgeInfo, Edge) ->
+ Data = gb_trees:get(Edge, EdgeInfo),
+ Data#edge_data.later.
+
+lookup_later(EdgeInfo, Edge) ->
+ case gb_trees:lookup(Edge, EdgeInfo) of
+ none ->
+ none;
+ {value, #edge_data{later = Data}} ->
+ Data
+ end.
+
+%% insert(EdgeInfo, Edge) ->
+%% case gb_trees:lookup(Edge, EdgeInfo) of
+%% none ->
+%% exit({?MODULE, insert, "edge info not found"}),
+%% none;
+%% {value, #edge_data{insert = Data}} ->
+%% Data
+%% end.
+
+%%=============================================================================
+%% Set methods
+set_up_exp(NodeInfo, Label, Data) ->
+ NodeData =
+ case gb_trees:lookup(Label, NodeInfo) of
+ none ->
+ #node_data{up_exp = Data};
+ {value, OldNodeData} ->
+ OldNodeData#node_data{up_exp = Data}
+ end,
+ gb_trees:enter(Label, NodeData, NodeInfo).
+
+set_down_exp(NodeInfo, Label, Data) ->
+ NodeData =
+ case gb_trees:lookup(Label, NodeInfo) of
+ none ->
+ #node_data{down_exp = Data};
+ {value, OldNodeData} ->
+ OldNodeData#node_data{down_exp = Data}
+ end,
+ gb_trees:enter(Label, NodeData, NodeInfo).
+
+set_killed_expr(NodeInfo, Label, Data) ->
+ NodeData =
+ case gb_trees:lookup(Label, NodeInfo) of
+ none ->
+ #node_data{killed_expr = Data};
+ {value, OldNodeData} ->
+ OldNodeData#node_data{killed_expr = Data}
+ end,
+ gb_trees:enter(Label, NodeData, NodeInfo).
+
+set_avail_in(NodeInfo, Label, Data) ->
+ NodeData =
+ case gb_trees:lookup(Label, NodeInfo) of
+ none ->
+ #node_data{avail_in = Data};
+ {value, OldNodeData} ->
+ OldNodeData#node_data{avail_in = Data}
+ end,
+ gb_trees:enter(Label, NodeData, NodeInfo).
+
+set_avail_out(NodeInfo, Label, Data) ->
+ NodeData =
+ case gb_trees:lookup(Label, NodeInfo) of
+ none ->
+ #node_data{avail_out = Data};
+ {value, OldNodeData} ->
+ OldNodeData#node_data{avail_out = Data}
+ end,
+ gb_trees:enter(Label, NodeData, NodeInfo).
+
+set_antic_in(NodeInfo, Label, Data) ->
+ NodeData =
+ case gb_trees:lookup(Label, NodeInfo) of
+ none ->
+ #node_data{antic_in = Data};
+ {value, OldNodeData} ->
+ OldNodeData#node_data{antic_in = Data}
+ end,
+ gb_trees:enter(Label, NodeData, NodeInfo).
+
+set_antic_out(NodeInfo, Label, Data) ->
+ NodeData =
+ case gb_trees:lookup(Label, NodeInfo) of
+ none ->
+ #node_data{antic_out = Data};
+ {value, OldNodeData} ->
+ OldNodeData#node_data{antic_out = Data}
+ end,
+ gb_trees:enter(Label, NodeData, NodeInfo).
+
+set_later_in(NodeInfo, Label, Data) ->
+ NodeData =
+ case gb_trees:lookup(Label, NodeInfo) of
+ none ->
+ #node_data{later_in = Data};
+ {value, OldNodeData} ->
+ OldNodeData#node_data{later_in = Data}
+ end,
+ gb_trees:enter(Label, NodeData, NodeInfo).
+
+set_delete(NodeInfo, Label, Data) ->
+ NodeData =
+ case gb_trees:lookup(Label, NodeInfo) of
+ none ->
+ #node_data{delete = Data};
+ {value, OldNodeData} ->
+ OldNodeData#node_data{delete = Data}
+ end,
+ gb_trees:enter(Label, NodeData, NodeInfo).
+
+set_earliest(EdgeInfo, Edge, Data) ->
+ EdgeData =
+ case gb_trees:lookup(Edge, EdgeInfo) of
+ none ->
+ #edge_data{earliest = Data};
+ {value, OldEdgeData} ->
+ OldEdgeData#edge_data{earliest = Data}
+ end,
+ gb_trees:enter(Edge, EdgeData, EdgeInfo).
+
+set_later(EdgeInfo, Edge, Data) ->
+ EdgeData =
+ case gb_trees:lookup(Edge, EdgeInfo) of
+ none ->
+ #edge_data{later = Data};
+ {value, OldEdgeData} ->
+ OldEdgeData#edge_data{later = Data}
+ end,
+ gb_trees:enter(Edge, EdgeData, EdgeInfo).
+
+%% set_insert(EdgeInfo, Edge, Data) ->
+%% EdgeData =
+%% case gb_trees:lookup(Edge, EdgeInfo) of
+%% none ->
+%% #edge_data{insert = Data};
+%% {value, OldEdgeData} ->
+%% OldEdgeData#edge_data{insert = Data}
+%% end,
+%% gb_trees:enter(Edge, EdgeData, EdgeInfo).
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%% USE MAP %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% The use map is a mapping from "use" (which is an rtl register/variable)
+%% to a set of expressions (IDs) where that register/variable is used.
+%% It is used by calc_killed_expr to know what expressions are affected by
+%% a definition.
+
+%%=============================================================================
+%% Creates and calculates the use map for a CFG.
+%% It uses ExprMap to lookup the expression IDs.
+mk_use_map(CFG, ExprMap) ->
+ Labels = hipe_rtl_cfg:reverse_postorder(CFG),
+ NewMap = mk_use_map(gb_trees:empty(), CFG, ExprMap, Labels),
+ gb_trees:balance(NewMap).
+
+mk_use_map(Map, _, _, []) ->
+ Map;
+mk_use_map(Map, CFG, ExprMap, [Label|Labels]) ->
+ Code = hipe_bb:code(hipe_rtl_cfg:bb(CFG, Label)),
+ NewMap = mk_use_map_bb(Map, ExprMap, Code),
+ mk_use_map(NewMap, CFG, ExprMap, Labels).
+
+mk_use_map_bb(UseMap, _, []) ->
+ UseMap;
+mk_use_map_bb(UseMap, ExprMap, [Instr|Instrs]) ->
+ case is_expr(Instr) of
+ true ->
+ Uses = hipe_rtl:uses(Instr),
+ ExprId = expr_map_get_id(ExprMap, expr_clear_dst(Instr)),
+ NewUseMap = mk_use_map_insert_uses(UseMap, ExprId, Uses),
+ mk_use_map_bb(NewUseMap, ExprMap, Instrs);
+ false ->
+ mk_use_map_bb(UseMap, ExprMap, Instrs)
+ end.
+
+%%=============================================================================
+%% Worker function for mk_use_map that inserts the expression id for every
+%% rtl register the expression uses in a use map.
+mk_use_map_insert_uses(Map, _, []) ->
+ Map;
+mk_use_map_insert_uses(Map, Expr, [Use|Uses]) ->
+ case gb_trees:lookup(Use, Map) of
+ {value, UseSet} ->
+ NewUseSet = ?SETS:add_element(Expr, UseSet),
+ mk_use_map_insert_uses(gb_trees:update(Use, NewUseSet, Map), Expr, Uses);
+ none ->
+ UseSet = ?SETS:new(),
+ NewUseSet = ?SETS:add_element(Expr, UseSet),
+ mk_use_map_insert_uses(gb_trees:insert(Use, NewUseSet, Map), Expr, Uses)
+ end.
+
+%%=============================================================================
+%% Gets a set of expressions where the given rtl register is used.
+use_map_get_expr_uses(Map, Reg) ->
+ case gb_trees:lookup(Reg, Map) of
+ {value, UseSet} ->
+ UseSet;
+ none ->
+ ?SETS:new()
+ end.
+
+%%%%%%%%%%%%%%%%%%%%%% EXPRESSION MAP %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% The expression map is a mapping from expression to
+%% (1) Expression Id (Integer used to speed up set operations)
+%% (2) List of definitions (labels where the expression is defined and the
+%% list of registers or variables defined by an instruction in that label,
+%% represented as a tuple {Label, Defines})
+%% (3) The list of replacement registers created for the expression
+
+%%=============================================================================
+%% Creates and calculates the expression map for a CFG.
+mk_expr_map(CFG) ->
+ init_expr_id(),
+ Labels = hipe_rtl_cfg:reverse_postorder(CFG),
+ {ExprMap, IdMap} = mk_expr_map(gb_trees:empty(), gb_trees:empty(),
+ CFG, Labels),
+ {gb_trees:balance(ExprMap), gb_trees:balance(IdMap)}.
+
+mk_expr_map(ExprMap, IdMap, _, []) ->
+ {ExprMap, IdMap};
+mk_expr_map(ExprMap, IdMap, CFG, [Label|Labels]) ->
+ Code = hipe_bb:code(hipe_rtl_cfg:bb(CFG, Label)),
+ {NewExprMap, NewIdMap} = mk_expr_map_bb(ExprMap, IdMap, Label, Code),
+ mk_expr_map(NewExprMap, NewIdMap, CFG, Labels).
+
+mk_expr_map_bb(ExprMap, IdMap, _, []) ->
+ {ExprMap, IdMap};
+mk_expr_map_bb(ExprMap, IdMap, Label, [Instr|Instrs]) ->
+ case is_expr(Instr) of
+ true ->
+ Expr = expr_clear_dst(Instr),
+ Defines = hipe_rtl:defines(Instr),
+ case gb_trees:lookup(Expr, ExprMap) of
+ {value, {ExprId, DefinesList, ReplRegs}} ->
+ NewExprMap = gb_trees:update(Expr, {ExprId,
+ [{Label, Defines}|DefinesList],
+ ReplRegs}, ExprMap),
+ mk_expr_map_bb(NewExprMap, IdMap, Label, Instrs);
+ none ->
+ NewExprId = new_expr_id(),
+ NewReplRegs = mk_replacement_regs(Defines),
+ NewExprMap = gb_trees:insert(Expr, {NewExprId,
+ [{Label, Defines}],
+ NewReplRegs}, ExprMap),
+ NewIdMap = gb_trees:insert(NewExprId, Expr, IdMap),
+ mk_expr_map_bb(NewExprMap, NewIdMap, Label, Instrs)
+ end;
+ false ->
+ mk_expr_map_bb(ExprMap, IdMap, Label, Instrs)
+ end.
+
+%%=============================================================================
+%% Creates new temporaries to replace defines in moved expressions.
+mk_replacement_regs([]) ->
+ [];
+mk_replacement_regs(Defines) ->
+ mk_replacement_regs(Defines, []).
+
+mk_replacement_regs([], NewRegs) ->
+ lists:reverse(NewRegs);
+mk_replacement_regs([Define|Defines], NewRegs) ->
+ case hipe_rtl:is_reg(Define) of
+ true ->
+ NewReg =
+ case hipe_rtl:reg_is_gcsafe(Define) of
+ true -> hipe_rtl:mk_new_reg_gcsafe();
+ false -> hipe_rtl:mk_new_reg()
+ end,
+ mk_replacement_regs(Defines, [NewReg|NewRegs]);
+ false ->
+ case hipe_rtl:is_var(Define) of
+ true ->
+ mk_replacement_regs(Defines, [hipe_rtl:mk_new_var()|NewRegs]);
+ false ->
+ true = hipe_rtl:is_fpreg(Define),
+ mk_replacement_regs(Defines, [hipe_rtl:mk_new_fpreg()|NewRegs])
+ end
+ end.
+
+%%=============================================================================
+%% Performs a lookup, which returns a tuple
+%% {expression ID, list of definitions, list of replacement registers}
+expr_map_lookup(Map, Expr) ->
+ gb_trees:lookup(Expr, Map).
+
+%%=============================================================================
+%% Gets the actual RTL instruction to be generated for insertions of an
+%% expression.
+expr_map_get_instr(Map, Expr) ->
+ case gb_trees:lookup(Expr, Map) of
+ {value, {_, _, Regs}} ->
+ expr_set_dst(Expr, Regs);
+ none ->
+ exit({?MODULE, expr_map_get_instr, "expression missing"})
+ end.
+
+%%=============================================================================
+%% Gets expression id.
+expr_map_get_id(Map, Expr) ->
+ case gb_trees:lookup(Expr, Map) of
+ {value, {ExprId, _, _}} ->
+ ExprId;
+ none ->
+ exit({?MODULE, expr_map_get_instr, "expression missing"})
+ end.
+
+%%=============================================================================
+%% Creates an rtl instruction that moves a value
+mk_expr_move_instr([Reg], [Define]) ->
+ case hipe_rtl:is_fpreg(Reg) of
+ true ->
+ hipe_rtl:mk_fmove(Reg, Define);
+ false ->
+ %% FIXME Check is_var() orelse is_reg() ?
+ hipe_rtl:mk_move(Reg, Define)
+ end;
+mk_expr_move_instr([_Reg|_Regs] = RegList, Defines) ->
+ %% FIXME Does this really work? What about floats...
+ %% (Multiple defines does not seem to be used by any of the
+ %% instructions considered by rtl_lcm at the moment so this is pretty much
+ %% untested/unused.)
+ hipe_rtl:mk_multimove(RegList, Defines);
+mk_expr_move_instr(_, []) ->
+ exit({?MODULE, mk_expr_move_instr, "bad match"}).
+
+%%=============================================================================
+%% Returns a set of all expressions in the code.
+%% all_exprs(_CFG, []) ->
+%% ?SETS:new();
+%% all_exprs(CFG, [Label|Labels]) ->
+%% BB = hipe_rtl_cfg:bb(CFG, Label),
+%% Code = hipe_bb:code(BB),
+%% ?SETS:union(all_exprs_bb(Code),
+%% all_exprs(CFG, Labels)).
+
+%%=============================================================================
+%% Returns a set of expressions in a basic block.
+%% all_exprs_bb([]) ->
+%% ?SETS:new();
+%% all_exprs_bb([Instr|Instrs]) ->
+%% case is_expr(Instr) of
+%% true ->
+%% Expr = expr_clear_dst(Instr),
+%% ExprSet = all_exprs_bb(Instrs),
+%% ?SETS:add_element(Expr, ExprSet);
+%% false ->
+%% all_exprs_bb(Instrs)
+%% end.
+
+%%%%%%%%%%%%%%%%%% EXPRESSION ID -> EXPRESSION MAP %%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Map from expression IDs to expressions.
+%%=============================================================================
+%% mk_expr_id_map() ->
+%% gb_trees:empty().
+
+%% expr_id_map_insert(Map, ExprId, Expr) ->
+%% gb_trees:insert(ExprId, Expr, Map).
+
+%% expr_id_map_lookup(Map, ExprId) ->
+%% gb_trees:lookup(ExprId, Map).
+
+%%=============================================================================
+%% Given expression id, gets expression.
+expr_id_map_get_expr(Map, ExprId) ->
+ case gb_trees:lookup(ExprId, Map) of
+ {value, Expr} ->
+ Expr;
+ none ->
+ exit({?MODULE, expr_id_map_get_expr, "expression id missing"})
+ end.
+
+%%=============================================================================
+%% Expression ID counter
+init_expr_id() ->
+ put({rtl_lcm,expr_id_count}, 0),
+ ok.
+
+-spec new_expr_id() -> non_neg_integer().
+new_expr_id() ->
+ Obj = {rtl_lcm, expr_id_count},
+ V = get(Obj),
+ put(Obj, V+1),
+ V.
+
+%%%%%%%%%%%%%%%%%% EDGE BB (INSERT BETWEEN) MAP %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Map from edges to labels.
+%% This is used by insert_expr_between to remember what new bbs it has created
+%% for insertions on edges, and thus for multiple insertions on the same edge
+%% to end up in the same bb.
+%%=============================================================================
+mk_edge_bb_map() ->
+ gb_trees:empty().
+
+edge_bb_map_insert(Map, Edge, Label) ->
+ gb_trees:enter(Edge, Label, Map).
+
+edge_bb_map_lookup(Map, Edge) ->
+ gb_trees:lookup(Edge, Map).
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%% PRETTY-PRINTING %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%=============================================================================
+%% Prints debug messages.
+-ifdef(LCM_DEBUG).
+
+pp_debug(Str, Args) ->
+ case ?LCM_DEBUG of
+ true ->
+ io:format(standard_io, Str, Args);
+ false ->
+ ok
+ end.
+
+pp_debug_instr(Instr) ->
+ case ?LCM_DEBUG of
+ true ->
+ hipe_rtl:pp_instr(standard_io, Instr);
+ false ->
+ ok
+ end.
+
+-else.
+
+pp_debug(_, _) ->
+ ok.
+
+pp_debug_instr(_) ->
+ ok.
+
+-endif. %% DEBUG
+
+%%=============================================================================
+%% Pretty-prints the calculated sets for the lazy code motion.
+pp_sets(_, _, _, _, _, _, []) ->
+ ok;
+pp_sets(ExprMap, IdMap, NodeInfo, EdgeInfo, AllExpr, CFG, [Label|Labels]) ->
+ Preds = hipe_rtl_cfg:pred(CFG, Label),
+ Succs = hipe_rtl_cfg:succ(CFG, Label),
+
+ io:format(standard_io, "Label ~w~n", [Label]),
+ io:format(standard_io, " Preds: ~w~n", [Preds]),
+ io:format(standard_io, " Succs: ~w~n", [Succs]),
+
+ case up_exp(NodeInfo, Label) of
+ none -> ok;
+ UpExp ->
+ case ?SETS:size(UpExp) =:= 0 of
+ false ->
+ io:format(standard_io, " UEExpr: ~n", []),
+ pp_exprs(ExprMap, IdMap, ?SETS:to_list(UpExp));
+ true -> ok
+ end
+ end,
+ case down_exp(NodeInfo, Label) of
+ none -> ok;
+ DownExp ->
+ case ?SETS:size(DownExp) =:= 0 of
+ false ->
+ io:format(standard_io, " DEExpr: ~n", []),
+ pp_exprs(ExprMap, IdMap, ?SETS:to_list(DownExp));
+ true -> ok
+ end
+ end,
+ case killed_expr(NodeInfo, Label) of
+ none -> ok;
+ KilledExpr ->
+ case ?SETS:size(KilledExpr) =:= 0 of
+ false ->
+ io:format(standard_io, " ExprKill: ~n", []),
+ pp_exprs(ExprMap, IdMap, ?SETS:to_list(KilledExpr));
+ true -> ok
+ end
+ end,
+ case avail_in(NodeInfo, Label) of
+ none -> ok;
+ AvailIn ->
+ case ?SETS:size(AvailIn) =:= 0 of
+ false ->
+ io:format(standard_io, " AvailIn: ~n", []),
+ pp_exprs(ExprMap, IdMap, ?SETS:to_list(AvailIn));
+ true -> ok
+ end
+ end,
+ case avail_out(NodeInfo, Label) of
+ none -> ok;
+ AvailOut ->
+ case ?SETS:size(AvailOut) =:= 0 of
+ false ->
+ io:format(standard_io, " AvailOut: ~n", []),
+ pp_exprs(ExprMap, IdMap, ?SETS:to_list(AvailOut));
+ true -> ok
+ end
+ end,
+ case antic_in(NodeInfo, Label) of
+ none -> ok;
+ AnticIn ->
+ case ?SETS:size(AnticIn) =:= 0 of
+ false ->
+ io:format(standard_io, " AnticIn: ~n", []),
+ pp_exprs(ExprMap, IdMap, ?SETS:to_list(AnticIn));
+ true -> ok
+ end
+ end,
+ case antic_out(NodeInfo, Label) of
+ none -> ok;
+ AnticOut ->
+ case ?SETS:size(AnticOut) =:= 0 of
+ false ->
+ io:format(standard_io, " AnticOut: ~n", []),
+ pp_exprs(ExprMap, IdMap, ?SETS:to_list(AnticOut));
+ true -> ok
+ end
+ end,
+ case later_in(NodeInfo, Label) of
+ none -> ok;
+ LaterIn ->
+ case ?SETS:size(LaterIn) =:= 0 of
+ false ->
+ io:format(standard_io, " LaterIn: ~n", []),
+ pp_exprs(ExprMap, IdMap, ?SETS:to_list(LaterIn));
+ true -> ok
+ end
+ end,
+
+ pp_earliest(ExprMap, IdMap, EdgeInfo, Label, Succs),
+ pp_later(ExprMap, IdMap, EdgeInfo, Label, Succs),
+
+ case delete(NodeInfo, Label) of
+ none -> ok;
+ Delete ->
+ case ?SETS:size(Delete) =:= 0 of
+ false ->
+ io:format(standard_io, " Delete: ~n", []),
+ pp_exprs(ExprMap, IdMap, ?SETS:to_list(Delete));
+ true -> ok
+ end
+ end,
+ pp_sets(ExprMap, IdMap, NodeInfo, EdgeInfo, AllExpr, CFG, Labels).
+
+%%=============================================================================
+%% Pretty-prints the later set.
+pp_later(_, _, _, _, []) ->
+ ok;
+pp_later(ExprMap, IdMap, EdgeInfo, Pred, [Succ|Succs]) ->
+ case later(EdgeInfo, {Pred, Succ}) of
+ none -> ok;
+ Later ->
+ case ?SETS:size(Later) =:= 0 of
+ false ->
+ io:format(standard_io, " Later(~w->~w): ~n", [Pred,Succ]),
+ pp_exprs(ExprMap, IdMap, ?SETS:to_list(Later));
+ true -> ok
+ end
+ end,
+ pp_later(ExprMap, IdMap, EdgeInfo, Pred, Succs).
+
+%%=============================================================================
+%% Pretty-prints the earliest set.
+pp_earliest(_, _, _, _, []) ->
+ ok;
+pp_earliest(ExprMap, IdMap, EdgeInfo, Pred, [Succ|Succs]) ->
+ case earliest(EdgeInfo, {Pred, Succ}) of
+ none -> ok;
+ Earliest ->
+ case ?SETS:size(Earliest) =:= 0 of
+ false ->
+ io:format(standard_io, " Earliest(~w->~w): ~n", [Pred,Succ]),
+ pp_exprs(ExprMap, IdMap, ?SETS:to_list(Earliest));
+ true -> ok
+ end
+ end,
+ pp_earliest(ExprMap, IdMap, EdgeInfo, Pred, Succs).
+
+%%=============================================================================
+%% Pretty-prints an expression
+pp_expr(ExprMap, IdMap, ExprId) ->
+ Expr = expr_id_map_get_expr(IdMap, ExprId),
+ hipe_rtl:pp_instr(standard_io, expr_map_get_instr(ExprMap, Expr)).
+
+pp_exprs(_, _, []) ->
+ ok;
+pp_exprs(ExprMap, IdMap, [E|Es]) ->
+ pp_expr(ExprMap, IdMap, E),
+ pp_exprs(ExprMap, IdMap, Es).