compiler/optimizing/superblock_cloner.h - LeafOS-Project/android_art - Gitiles

 /*
  * Copyright (C) 2017 The Android Open Source Project
  *
  * 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.
  */

 #ifndef ART_COMPILER_OPTIMIZING_SUPERBLOCK_CLONER_H_
 #define ART_COMPILER_OPTIMIZING_SUPERBLOCK_CLONER_H_

 #include "base/arena_bit_vector.h"
 #include "base/arena_containers.h"
 #include "base/bit_vector-inl.h"
 #include "nodes.h"

 namespace art {

 class InductionVarRange;

 static const bool kSuperblockClonerLogging = false;

 // Represents an edge between two HBasicBlocks.
 //
 // Note: objects of this class are small - pass them by value.
 class HEdge : public ArenaObject<kArenaAllocSuperblockCloner> {
  public:
   HEdge(HBasicBlock* from, HBasicBlock* to) : from_(from->GetBlockId()), to_(to->GetBlockId()) {
     DCHECK_NE(to_, kInvalidBlockId);
     DCHECK_NE(from_, kInvalidBlockId);
   }
   HEdge(uint32_t from, uint32_t to) : from_(from), to_(to) {
     DCHECK_NE(to_, kInvalidBlockId);
     DCHECK_NE(from_, kInvalidBlockId);
   }
   HEdge() : from_(kInvalidBlockId), to_(kInvalidBlockId) {}

   uint32_t GetFrom() const { return from_; }
   uint32_t GetTo() const { return to_; }

   bool operator==(const HEdge& other) const {
     return this->from_ == other.from_ && this->to_ == other.to_;
   }

   bool operator!=(const HEdge& other) const { return !operator==(other); }
   void Dump(std::ostream& stream) const;

   // Returns whether an edge represents a valid edge in CF graph: whether the from_ block
   // has to_ block as a successor.
   bool IsValid() const { return from_ != kInvalidBlockId && to_ != kInvalidBlockId; }

  private:
   // Predecessor block id.
   uint32_t from_;
   // Successor block id.
   uint32_t to_;
 };

 // Returns whether a HEdge edge corresponds to an existing edge in the graph.
 inline bool IsEdgeValid(HEdge edge, HGraph* graph) {
   if (!edge.IsValid()) {
     return false;
   }
   uint32_t from = edge.GetFrom();
   uint32_t to = edge.GetTo();
   if (from >= graph->GetBlocks().size() || to >= graph->GetBlocks().size()) {
     return false;
   }

   HBasicBlock* block_from = graph->GetBlocks()[from];
   HBasicBlock* block_to = graph->GetBlocks()[to];
   if (block_from == nullptr || block_to == nullptr) {
     return false;
   }

   return block_from->HasSuccessor(block_to, 0);
 }

 // SuperblockCloner provides a feature of cloning subgraphs in a smart, high level way without
 // fine grain manipulation with IR; data flow and graph properties are resolved/adjusted
 // automatically. The clone transformation is defined by specifying a set of basic blocks to copy
 // and a set of rules how to treat edges, remap their successors. By using this approach such
 // optimizations as Branch Target Expansion, Loop Peeling, Loop Unrolling can be implemented.
 //
 // The idea of the transformation is based on "Superblock cloning" technique described in the book
 // "Engineering a Compiler. Second Edition", Keith D. Cooper, Linda Torczon, Rice University
 // Houston, Texas. 2nd edition, Morgan Kaufmann. The original paper is "The Superblock: An Efective
 // Technique for VLIW and Superscalar Compilation" by Hwu, W.M.W., Mahlke, S.A., Chen, W.Y. et al.
 // J Supercomput (1993) 7: 229. doi:10.1007/BF01205185.
 //
 // There are two states of the IR graph: original graph (before the transformation) and
 // copy graph (after).
 //
 // Before the transformation:
 // Defining a set of basic block to copy (orig_bb_set) partitions all of the edges in the original
 // graph into 4 categories/sets (use the following notation for edges: "(pred, succ)",
 // where pred, succ - basic blocks):
 //  - internal - pred, succ are members of ‘orig_bb_set’.
 //  - outside  - pred, succ are not members of ‘orig_bb_set’.
 //  - incoming - pred is not a member of ‘orig_bb_set’, succ is.
 //  - outgoing - pred is a member of ‘orig_bb_set’, succ is not.
 //
 // Transformation:
 //
 // 1. Initial cloning:
 //   1.1. For each ‘orig_block’ in orig_bb_set create a copy ‘copy_block’; these new blocks
 //        form ‘copy_bb_set’.
 //   1.2. For each edge (X, Y) from internal set create an edge (X_1, Y_1) where X_1, Y_1 are the
 //        copies of X, Y basic blocks correspondingly; these new edges form ‘copy_internal’ edge
 //        set.
 //   1.3. For each edge (X, Y) from outgoing set create an edge (X_1, Y_1) where X_1, Y_1 are the
 //        copies of X, Y basic blocks correspondingly; these new edges form ‘copy_outgoing’ edge
 //        set.
 // 2. Successors remapping.
 //   2.1. 'remap_orig_internal’ - set of edges (X, Y) from ‘orig_bb_set’ whose successors should
 //        be remapped to copy nodes: ((X, Y) will be transformed into (X, Y_1)).
 //   2.2. ‘remap_copy_internal’ - set of edges (X_1, Y_1) from ‘copy_bb_set’ whose successors
 //        should be remapped to copy nodes: (X_1, Y_1) will be transformed into (X_1, Y)).
 //   2.3. 'remap_incoming’ - set of edges (X, Y) from the ‘incoming’ edge set in the original graph
 //        whose successors should be remapped to copies nodes: ((X, Y) will be transformed into
 //        (X, Y_1)).
 // 3. Adjust control flow structures and relations (dominance, reverse post order, loops, etc).
 // 4. Fix/resolve data flow.
 // 5. Do cleanups (DCE, critical edges splitting, etc).
 //
 class SuperblockCloner : public ValueObject {
  public:
   // TODO: Investigate optimal types for the containers.
   using HBasicBlockMap = ArenaSafeMap<HBasicBlock*, HBasicBlock*>;
   using HInstructionMap = ArenaSafeMap<HInstruction*, HInstruction*>;
   using HBasicBlockSet = ArenaBitVector;
   using HEdgeSet = ArenaHashSet<HEdge>;

   SuperblockCloner(HGraph* graph,
                    const HBasicBlockSet* orig_bb_set,
                    HBasicBlockMap* bb_map,
                    HInstructionMap* hir_map,
                    InductionVarRange* induction_range);

   // Sets edge successor remapping info specified by corresponding edge sets.
   void SetSuccessorRemappingInfo(const HEdgeSet* remap_orig_internal,
                                  const HEdgeSet* remap_copy_internal,
                                  const HEdgeSet* remap_incoming);

   // Returns whether the specified subgraph is copyable.
   // TODO: Start from small range of graph patterns then extend it.
   bool IsSubgraphClonable() const;

   // Returns whether selected subgraph satisfies the criteria for fast data flow resolution
   // when iterative DF algorithm is not required and dominators/instructions inputs can be
   // trivially adjusted.
   //
   // TODO: formally describe the criteria.
   //
   // Loop peeling and unrolling satisfy the criteria.
   bool IsFastCase() const;

   // Runs the copy algorithm according to the description.
   void Run();

   // Cleans up the graph after transformation: splits critical edges, recalculates control flow
   // information (back-edges, dominators, loop info, etc), eliminates redundant phis.
   void CleanUp();

   // Returns a clone of a basic block (orig_block).
   //
   //  - The copy block will have no successors/predecessors; they should be set up manually.
   //  - For each instruction in the orig_block a copy is created and inserted into the copy block;
   //    this correspondence is recorded in the map (old instruction, new instruction).
   //  - Graph HIR is not valid after this transformation: all of the HIRs have their inputs the
   //    same, as in the original block, PHIs do not reflect a correct correspondence between the
   //    value and predecessors (as the copy block has no predecessors by now), etc.
   HBasicBlock* CloneBasicBlock(const HBasicBlock* orig_block);

   // Creates a clone for each basic blocks in orig_bb_set adding corresponding entries into bb_map_
   // and hir_map_.
   void CloneBasicBlocks();

   HInstruction* GetInstrCopy(HInstruction* orig_instr) const {
     auto copy_input_iter = hir_map_->find(orig_instr);
     DCHECK(copy_input_iter != hir_map_->end());
     return copy_input_iter->second;
   }

   HBasicBlock* GetBlockCopy(HBasicBlock* orig_block) const {
     HBasicBlock* block = bb_map_->Get(orig_block);
     DCHECK(block != nullptr);
     return block;
   }

   HInstruction* GetInstrOrig(HInstruction* copy_instr) const {
     for (auto it : *hir_map_) {
       if (it.second == copy_instr) {
         return it.first;
       }
     }
     return nullptr;
   }

   bool IsInOrigBBSet(uint32_t block_id) const {
     return orig_bb_set_.IsBitSet(block_id);
   }

   bool IsInOrigBBSet(const HBasicBlock* block) const {
     return IsInOrigBBSet(block->GetBlockId());
   }

   // Returns the area (the most outer loop) in the graph for which control flow (back edges, loops,
   // dominators) needs to be adjusted.
   HLoopInformation* GetRegionToBeAdjusted() const {
     return outer_loop_;
   }

  private:
   // Fills the 'exits' vector with the subgraph exits.
   void SearchForSubgraphExits(ArenaVector<HBasicBlock*>* exits) const;

   // Finds and records information about the area in the graph for which control flow (back edges,
   // loops, dominators) needs to be adjusted.
   void FindAndSetLocalAreaForAdjustments();

   // Remaps edges' successors according to the info specified in the edges sets.
   //
   // Only edge successors/predecessors and phis' input records (to have a correspondence between
   // a phi input record (not value) and a block's predecessor) are adjusted at this stage: neither
   // phis' nor instructions' inputs values are resolved.
   void RemapEdgesSuccessors();

   // Adjusts control flow (back edges, loops, dominators) for the local area defined by
   // FindAndSetLocalAreaForAdjustments.
   void AdjustControlFlowInfo();

   // Resolves Data Flow - adjusts phis' and instructions' inputs in order to have a valid graph in
   // the SSA form.
   void ResolveDataFlow();

   //
   // Helpers for live-outs processing and Subgraph-closed SSA.
   //
   //  - live-outs - values which are defined inside the subgraph and have uses outside.
   //  - Subgraph-closed SSA - SSA form for which all the values defined inside the subgraph
   //    have no outside uses except for the phi-nodes in the subgraph exits.
   //
   // Note: now if the subgraph has live-outs it is only clonable if it has a single exit; this
   // makes the subgraph-closed SSA form construction much easier.
   //
   // TODO: Support subgraphs with live-outs and multiple exits.
   //

   // For each live-out value 'val' in the region puts a record <val, val> into the map.
   // Returns whether all of the instructions in the subgraph are clonable.
   bool CollectLiveOutsAndCheckClonable(HInstructionMap* live_outs_) const;

   // Constructs Subgraph-closed SSA; precondition - a subgraph has a single exit.
   //
   // For each live-out 'val' in 'live_outs_' map inserts a HPhi 'phi' into the exit node, updates
   // the record in the map to <val, phi> and replaces all outside uses with this phi.
   void ConstructSubgraphClosedSSA();

   // Fixes the data flow for the live-out 'val' by adding a 'copy_val' input to the corresponding
   // (<val, phi>) phi after the cloning is done.
   void FixSubgraphClosedSSAAfterCloning();

   //
   // Helpers for CloneBasicBlock.
   //

   // Adjusts copy instruction's inputs: if the input of the original instruction is defined in the
   // orig_bb_set, replaces it with a corresponding copy otherwise leaves it the same as original.
   void ReplaceInputsWithCopies(HInstruction* copy_instr);

   // Recursively clones the environment for the copy instruction. If the input of the original
   // environment is defined in the orig_bb_set, replaces it with a corresponding copy otherwise
   // leaves it the same as original.
   void DeepCloneEnvironmentWithRemapping(HInstruction* copy_instr, const HEnvironment* orig_env);

   //
   // Helpers for RemapEdgesSuccessors.
   //

   // Remaps incoming or original internal edge to its copy, adjusts the phi inputs in orig_succ and
   // copy_succ.
   void RemapOrigInternalOrIncomingEdge(HBasicBlock* orig_block, HBasicBlock* orig_succ);

   // Adds copy internal edge (from copy_block to copy_succ), updates phis in the copy_succ.
   void AddCopyInternalEdge(HBasicBlock* orig_block, HBasicBlock* orig_succ);

   // Remaps copy internal edge to its origin, adjusts the phi inputs in orig_succ.
   void RemapCopyInternalEdge(HBasicBlock* orig_block, HBasicBlock* orig_succ);

   //
   // Local versions of control flow calculation/adjustment routines.
   //

   void FindBackEdgesLocal(HBasicBlock* entry_block, ArenaBitVector* local_set);
   void RecalculateBackEdgesInfo(ArenaBitVector* outer_loop_bb_set);
   GraphAnalysisResult AnalyzeLoopsLocally(ArenaBitVector* outer_loop_bb_set);
   void CleanUpControlFlow();

   //
   // Helpers for ResolveDataFlow
   //

   // Resolves the inputs of the phi.
   void ResolvePhi(HPhi* phi);

   // Update induction range after when fixing SSA.
   void UpdateInductionRangeInfoOf(
       HInstruction* user, HInstruction* old_instruction, HInstruction* replacement);

   //
   // Debug and logging methods.
   //
   void CheckInstructionInputsRemapping(HInstruction* orig_instr);
   bool CheckRemappingInfoIsValid();
   void VerifyGraph();
   void DumpInputSets();

   HBasicBlock* GetBlockById(uint32_t block_id) const {
     DCHECK(block_id < graph_->GetBlocks().size());
     HBasicBlock* block = graph_->GetBlocks()[block_id];
     DCHECK(block != nullptr);
     return block;
   }

   HGraph* const graph_;
   ArenaAllocator* const arena_;

   // Set of basic block in the original graph to be copied.
   HBasicBlockSet orig_bb_set_;

   // Sets of edges which require successors remapping.
   const HEdgeSet* remap_orig_internal_;
   const HEdgeSet* remap_copy_internal_;
   const HEdgeSet* remap_incoming_;

   // Correspondence map for blocks: (original block, copy block).
   HBasicBlockMap* bb_map_;
   // Correspondence map for instructions: (original HInstruction, copy HInstruction).
   HInstructionMap* hir_map_;
   // As a result of cloning, the induction range analysis information can be invalidated
   // and must be updated. If not null, the cloner updates it for changed instructions.
   InductionVarRange* induction_range_;
   // Area in the graph for which control flow (back edges, loops, dominators) needs to be adjusted.
   HLoopInformation* outer_loop_;
   HBasicBlockSet outer_loop_bb_set_;

   HInstructionMap live_outs_;

   ART_FRIEND_TEST(SuperblockClonerTest, AdjustControlFlowInfo);
   ART_FRIEND_TEST(SuperblockClonerTest, IsGraphConnected);

   DISALLOW_COPY_AND_ASSIGN(SuperblockCloner);
 };

 // Helper class to perform loop peeling/unrolling.
 //
 // This helper should be used when correspondence map between original and copied
 // basic blocks/instructions are demanded.
 class PeelUnrollHelper : public ValueObject {
  public:
   PeelUnrollHelper(HLoopInformation* info,
                    SuperblockCloner::HBasicBlockMap* bb_map,
                    SuperblockCloner::HInstructionMap* hir_map,
                    InductionVarRange* induction_range) :
       loop_info_(info),
       cloner_(info->GetHeader()->GetGraph(), &info->GetBlocks(), bb_map, hir_map, induction_range) {
     // For now do peeling/unrolling only for natural loops.
     DCHECK(!info->IsIrreducible());
   }

   // Returns whether the loop can be peeled/unrolled (static function).
   static bool IsLoopClonable(HLoopInformation* loop_info);

   // Returns whether the loop can be peeled/unrolled.
   bool IsLoopClonable() const { return cloner_.IsSubgraphClonable(); }

   HBasicBlock* DoPeeling() { return DoPeelUnrollImpl(/* to_unroll= */ false); }
   HBasicBlock* DoUnrolling() { return DoPeelUnrollImpl(/* to_unroll= */ true); }
   HLoopInformation* GetRegionToBeAdjusted() const { return cloner_.GetRegionToBeAdjusted(); }

  protected:
   // Applies loop peeling/unrolling for the loop specified by 'loop_info'.
   //
   // Depending on 'do_unroll' either unrolls loop by 2 or peels one iteration from it.
   HBasicBlock* DoPeelUnrollImpl(bool to_unroll);

  private:
   HLoopInformation* loop_info_;
   SuperblockCloner cloner_;

   DISALLOW_COPY_AND_ASSIGN(PeelUnrollHelper);
 };

 // Helper class to perform loop peeling/unrolling.
 //
 // This helper should be used when there is no need to get correspondence information between
 // original and copied basic blocks/instructions.
 class PeelUnrollSimpleHelper : public ValueObject {
  public:
   PeelUnrollSimpleHelper(HLoopInformation* info, InductionVarRange* induction_range);
   bool IsLoopClonable() const { return helper_.IsLoopClonable(); }
   HBasicBlock* DoPeeling() { return helper_.DoPeeling(); }
   HBasicBlock* DoUnrolling() { return helper_.DoUnrolling(); }
   HLoopInformation* GetRegionToBeAdjusted() const { return helper_.GetRegionToBeAdjusted(); }

   const SuperblockCloner::HBasicBlockMap* GetBasicBlockMap() const { return &bb_map_; }
   const SuperblockCloner::HInstructionMap* GetInstructionMap() const { return &hir_map_; }

  private:
   SuperblockCloner::HBasicBlockMap bb_map_;
   SuperblockCloner::HInstructionMap hir_map_;
   PeelUnrollHelper helper_;

   DISALLOW_COPY_AND_ASSIGN(PeelUnrollSimpleHelper);
 };

 // Collects edge remapping info for loop peeling/unrolling for the loop specified by loop info.
 void CollectRemappingInfoForPeelUnroll(bool to_unroll,
                                        HLoopInformation* loop_info,
                                        SuperblockCloner::HEdgeSet* remap_orig_internal,
                                        SuperblockCloner::HEdgeSet* remap_copy_internal,
                                        SuperblockCloner::HEdgeSet* remap_incoming);

 // Returns whether blocks from 'work_set' are reachable from the rest of the graph.
 //
 // Returns whether such a set 'outer_entries' of basic blocks exists that:
 // - each block from 'outer_entries' is not from 'work_set'.
 // - each block from 'work_set' is reachable from at least one block from 'outer_entries'.
 //
 // After the function returns work_set contains only blocks from the original 'work_set'
 // which are unreachable from the rest of the graph.
 bool IsSubgraphConnected(SuperblockCloner::HBasicBlockSet* work_set, HGraph* graph);

 // Returns a common predecessor of loop1 and loop2 in the loop tree or nullptr if it is the whole
 // graph.
 HLoopInformation* FindCommonLoop(HLoopInformation* loop1, HLoopInformation* loop2);
 }  // namespace art

 namespace std {

 template <>
 struct hash<art::HEdge> {
   size_t operator()(art::HEdge const& x) const noexcept  {
     // Use Cantor pairing function as the hash function.
     size_t a = x.GetFrom();
     size_t b = x.GetTo();
     return (a + b) * (a + b + 1) / 2 + b;
   }
 };
 ostream& operator<<(ostream& os, const art::HEdge& e);

 }  // namespace std

 #endif  // ART_COMPILER_OPTIMIZING_SUPERBLOCK_CLONER_H_
	/*
	* Copyright (C) 2017 The Android Open Source Project
	*
	* 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.
	*/

	#ifndef ART_COMPILER_OPTIMIZING_SUPERBLOCK_CLONER_H_
	#define ART_COMPILER_OPTIMIZING_SUPERBLOCK_CLONER_H_

	#include "base/arena_bit_vector.h"
	#include "base/arena_containers.h"
	#include "base/bit_vector-inl.h"
	#include "nodes.h"

	namespace art {

	class InductionVarRange;

	static const bool kSuperblockClonerLogging = false;

	// Represents an edge between two HBasicBlocks.
	//
	// Note: objects of this class are small - pass them by value.
	class HEdge : public ArenaObject<kArenaAllocSuperblockCloner> {
	public:
	HEdge(HBasicBlock* from, HBasicBlock* to) : from_(from->GetBlockId()), to_(to->GetBlockId()) {
	DCHECK_NE(to_, kInvalidBlockId);
	DCHECK_NE(from_, kInvalidBlockId);
	}
	HEdge(uint32_t from, uint32_t to) : from_(from), to_(to) {
	DCHECK_NE(to_, kInvalidBlockId);
	DCHECK_NE(from_, kInvalidBlockId);
	}
	HEdge() : from_(kInvalidBlockId), to_(kInvalidBlockId) {}

	uint32_t GetFrom() const { return from_; }
	uint32_t GetTo() const { return to_; }

	bool operator==(const HEdge& other) const {
	return this->from_ == other.from_ && this->to_ == other.to_;
	}

	bool operator!=(const HEdge& other) const { return !operator==(other); }
	void Dump(std::ostream& stream) const;

	// Returns whether an edge represents a valid edge in CF graph: whether the from_ block
	// has to_ block as a successor.
	bool IsValid() const { return from_ != kInvalidBlockId && to_ != kInvalidBlockId; }

	private:
	// Predecessor block id.
	uint32_t from_;
	// Successor block id.
	uint32_t to_;
	};

	// Returns whether a HEdge edge corresponds to an existing edge in the graph.
	inline bool IsEdgeValid(HEdge edge, HGraph* graph) {
	if (!edge.IsValid()) {
	return false;
	}
	uint32_t from = edge.GetFrom();
	uint32_t to = edge.GetTo();
	if (from >= graph->GetBlocks().size() \|\| to >= graph->GetBlocks().size()) {
	return false;
	}

	HBasicBlock* block_from = graph->GetBlocks()[from];
	HBasicBlock* block_to = graph->GetBlocks()[to];
	if (block_from == nullptr \|\| block_to == nullptr) {
	return false;
	}

	return block_from->HasSuccessor(block_to, 0);
	}

	// SuperblockCloner provides a feature of cloning subgraphs in a smart, high level way without
	// fine grain manipulation with IR; data flow and graph properties are resolved/adjusted
	// automatically. The clone transformation is defined by specifying a set of basic blocks to copy
	// and a set of rules how to treat edges, remap their successors. By using this approach such
	// optimizations as Branch Target Expansion, Loop Peeling, Loop Unrolling can be implemented.
	//
	// The idea of the transformation is based on "Superblock cloning" technique described in the book
	// "Engineering a Compiler. Second Edition", Keith D. Cooper, Linda Torczon, Rice University
	// Houston, Texas. 2nd edition, Morgan Kaufmann. The original paper is "The Superblock: An Efective
	// Technique for VLIW and Superscalar Compilation" by Hwu, W.M.W., Mahlke, S.A., Chen, W.Y. et al.
	// J Supercomput (1993) 7: 229. doi:10.1007/BF01205185.
	//
	// There are two states of the IR graph: original graph (before the transformation) and
	// copy graph (after).
	//
	// Before the transformation:
	// Defining a set of basic block to copy (orig_bb_set) partitions all of the edges in the original
	// graph into 4 categories/sets (use the following notation for edges: "(pred, succ)",
	// where pred, succ - basic blocks):
	// - internal - pred, succ are members of ‘orig_bb_set’.
	// - outside - pred, succ are not members of ‘orig_bb_set’.
	// - incoming - pred is not a member of ‘orig_bb_set’, succ is.
	// - outgoing - pred is a member of ‘orig_bb_set’, succ is not.
	//
	// Transformation:
	//
	// 1. Initial cloning:
	// 1.1. For each ‘orig_block’ in orig_bb_set create a copy ‘copy_block’; these new blocks
	// form ‘copy_bb_set’.
	// 1.2. For each edge (X, Y) from internal set create an edge (X_1, Y_1) where X_1, Y_1 are the
	// copies of X, Y basic blocks correspondingly; these new edges form ‘copy_internal’ edge
	// set.
	// 1.3. For each edge (X, Y) from outgoing set create an edge (X_1, Y_1) where X_1, Y_1 are the
	// copies of X, Y basic blocks correspondingly; these new edges form ‘copy_outgoing’ edge
	// set.
	// 2. Successors remapping.
	// 2.1. 'remap_orig_internal’ - set of edges (X, Y) from ‘orig_bb_set’ whose successors should
	// be remapped to copy nodes: ((X, Y) will be transformed into (X, Y_1)).
	// 2.2. ‘remap_copy_internal’ - set of edges (X_1, Y_1) from ‘copy_bb_set’ whose successors
	// should be remapped to copy nodes: (X_1, Y_1) will be transformed into (X_1, Y)).
	// 2.3. 'remap_incoming’ - set of edges (X, Y) from the ‘incoming’ edge set in the original graph
	// whose successors should be remapped to copies nodes: ((X, Y) will be transformed into
	// (X, Y_1)).
	// 3. Adjust control flow structures and relations (dominance, reverse post order, loops, etc).
	// 4. Fix/resolve data flow.
	// 5. Do cleanups (DCE, critical edges splitting, etc).
	//
	class SuperblockCloner : public ValueObject {
	public:
	// TODO: Investigate optimal types for the containers.
	using HBasicBlockMap = ArenaSafeMap<HBasicBlock, HBasicBlock>;
	using HInstructionMap = ArenaSafeMap<HInstruction, HInstruction>;
	using HBasicBlockSet = ArenaBitVector;
	using HEdgeSet = ArenaHashSet<HEdge>;

	SuperblockCloner(HGraph* graph,
	const HBasicBlockSet* orig_bb_set,
	HBasicBlockMap* bb_map,
	HInstructionMap* hir_map,
	InductionVarRange* induction_range);

	// Sets edge successor remapping info specified by corresponding edge sets.
	void SetSuccessorRemappingInfo(const HEdgeSet* remap_orig_internal,
	const HEdgeSet* remap_copy_internal,
	const HEdgeSet* remap_incoming);

	// Returns whether the specified subgraph is copyable.
	// TODO: Start from small range of graph patterns then extend it.
	bool IsSubgraphClonable() const;

	// Returns whether selected subgraph satisfies the criteria for fast data flow resolution
	// when iterative DF algorithm is not required and dominators/instructions inputs can be
	// trivially adjusted.
	//
	// TODO: formally describe the criteria.
	//
	// Loop peeling and unrolling satisfy the criteria.
	bool IsFastCase() const;

	// Runs the copy algorithm according to the description.
	void Run();

	// Cleans up the graph after transformation: splits critical edges, recalculates control flow
	// information (back-edges, dominators, loop info, etc), eliminates redundant phis.
	void CleanUp();

	// Returns a clone of a basic block (orig_block).
	//
	// - The copy block will have no successors/predecessors; they should be set up manually.
	// - For each instruction in the orig_block a copy is created and inserted into the copy block;
	// this correspondence is recorded in the map (old instruction, new instruction).
	// - Graph HIR is not valid after this transformation: all of the HIRs have their inputs the
	// same, as in the original block, PHIs do not reflect a correct correspondence between the
	// value and predecessors (as the copy block has no predecessors by now), etc.
	HBasicBlock* CloneBasicBlock(const HBasicBlock* orig_block);

	// Creates a clone for each basic blocks in orig_bb_set adding corresponding entries into bb_map_
	// and hir_map_.
	void CloneBasicBlocks();

	HInstruction* GetInstrCopy(HInstruction* orig_instr) const {
	auto copy_input_iter = hir_map_->find(orig_instr);
	DCHECK(copy_input_iter != hir_map_->end());
	return copy_input_iter->second;
	}

	HBasicBlock* GetBlockCopy(HBasicBlock* orig_block) const {
	HBasicBlock* block = bb_map_->Get(orig_block);
	DCHECK(block != nullptr);
	return block;
	}

	HInstruction* GetInstrOrig(HInstruction* copy_instr) const {
	for (auto it : *hir_map_) {
	if (it.second == copy_instr) {
	return it.first;
	}
	}
	return nullptr;
	}

	bool IsInOrigBBSet(uint32_t block_id) const {
	return orig_bb_set_.IsBitSet(block_id);
	}

	bool IsInOrigBBSet(const HBasicBlock* block) const {
	return IsInOrigBBSet(block->GetBlockId());
	}

	// Returns the area (the most outer loop) in the graph for which control flow (back edges, loops,
	// dominators) needs to be adjusted.
	HLoopInformation* GetRegionToBeAdjusted() const {
	return outer_loop_;
	}

	private:
	// Fills the 'exits' vector with the subgraph exits.
	void SearchForSubgraphExits(ArenaVector<HBasicBlock> exits) const;

	// Finds and records information about the area in the graph for which control flow (back edges,
	// loops, dominators) needs to be adjusted.
	void FindAndSetLocalAreaForAdjustments();

	// Remaps edges' successors according to the info specified in the edges sets.
	//
	// Only edge successors/predecessors and phis' input records (to have a correspondence between
	// a phi input record (not value) and a block's predecessor) are adjusted at this stage: neither
	// phis' nor instructions' inputs values are resolved.
	void RemapEdgesSuccessors();

	// Adjusts control flow (back edges, loops, dominators) for the local area defined by
	// FindAndSetLocalAreaForAdjustments.
	void AdjustControlFlowInfo();

	// Resolves Data Flow - adjusts phis' and instructions' inputs in order to have a valid graph in
	// the SSA form.
	void ResolveDataFlow();

	//
	// Helpers for live-outs processing and Subgraph-closed SSA.
	//
	// - live-outs - values which are defined inside the subgraph and have uses outside.
	// - Subgraph-closed SSA - SSA form for which all the values defined inside the subgraph
	// have no outside uses except for the phi-nodes in the subgraph exits.
	//
	// Note: now if the subgraph has live-outs it is only clonable if it has a single exit; this
	// makes the subgraph-closed SSA form construction much easier.
	//
	// TODO: Support subgraphs with live-outs and multiple exits.
	//

	// For each live-out value 'val' in the region puts a record <val, val> into the map.
	// Returns whether all of the instructions in the subgraph are clonable.
	bool CollectLiveOutsAndCheckClonable(HInstructionMap* live_outs_) const;

	// Constructs Subgraph-closed SSA; precondition - a subgraph has a single exit.
	//
	// For each live-out 'val' in 'live_outs_' map inserts a HPhi 'phi' into the exit node, updates
	// the record in the map to <val, phi> and replaces all outside uses with this phi.
	void ConstructSubgraphClosedSSA();

	// Fixes the data flow for the live-out 'val' by adding a 'copy_val' input to the corresponding
	// (<val, phi>) phi after the cloning is done.
	void FixSubgraphClosedSSAAfterCloning();

	//
	// Helpers for CloneBasicBlock.
	//

	// Adjusts copy instruction's inputs: if the input of the original instruction is defined in the
	// orig_bb_set, replaces it with a corresponding copy otherwise leaves it the same as original.
	void ReplaceInputsWithCopies(HInstruction* copy_instr);

	// Recursively clones the environment for the copy instruction. If the input of the original
	// environment is defined in the orig_bb_set, replaces it with a corresponding copy otherwise
	// leaves it the same as original.
	void DeepCloneEnvironmentWithRemapping(HInstruction* copy_instr, const HEnvironment* orig_env);

	//
	// Helpers for RemapEdgesSuccessors.
	//

	// Remaps incoming or original internal edge to its copy, adjusts the phi inputs in orig_succ and
	// copy_succ.
	void RemapOrigInternalOrIncomingEdge(HBasicBlock* orig_block, HBasicBlock* orig_succ);

	// Adds copy internal edge (from copy_block to copy_succ), updates phis in the copy_succ.
	void AddCopyInternalEdge(HBasicBlock* orig_block, HBasicBlock* orig_succ);

	// Remaps copy internal edge to its origin, adjusts the phi inputs in orig_succ.
	void RemapCopyInternalEdge(HBasicBlock* orig_block, HBasicBlock* orig_succ);

	//
	// Local versions of control flow calculation/adjustment routines.
	//

	void FindBackEdgesLocal(HBasicBlock* entry_block, ArenaBitVector* local_set);
	void RecalculateBackEdgesInfo(ArenaBitVector* outer_loop_bb_set);
	GraphAnalysisResult AnalyzeLoopsLocally(ArenaBitVector* outer_loop_bb_set);
	void CleanUpControlFlow();

	//
	// Helpers for ResolveDataFlow
	//

	// Resolves the inputs of the phi.
	void ResolvePhi(HPhi* phi);

	// Update induction range after when fixing SSA.
	void UpdateInductionRangeInfoOf(
	HInstruction* user, HInstruction* old_instruction, HInstruction* replacement);

	//
	// Debug and logging methods.
	//
	void CheckInstructionInputsRemapping(HInstruction* orig_instr);
	bool CheckRemappingInfoIsValid();
	void VerifyGraph();
	void DumpInputSets();

	HBasicBlock* GetBlockById(uint32_t block_id) const {
	DCHECK(block_id < graph_->GetBlocks().size());
	HBasicBlock* block = graph_->GetBlocks()[block_id];
	DCHECK(block != nullptr);
	return block;
	}

	HGraph* const graph_;
	ArenaAllocator* const arena_;

	// Set of basic block in the original graph to be copied.
	HBasicBlockSet orig_bb_set_;

	// Sets of edges which require successors remapping.
	const HEdgeSet* remap_orig_internal_;
	const HEdgeSet* remap_copy_internal_;
	const HEdgeSet* remap_incoming_;

	// Correspondence map for blocks: (original block, copy block).
	HBasicBlockMap* bb_map_;
	// Correspondence map for instructions: (original HInstruction, copy HInstruction).
	HInstructionMap* hir_map_;
	// As a result of cloning, the induction range analysis information can be invalidated
	// and must be updated. If not null, the cloner updates it for changed instructions.
	InductionVarRange* induction_range_;
	// Area in the graph for which control flow (back edges, loops, dominators) needs to be adjusted.
	HLoopInformation* outer_loop_;
	HBasicBlockSet outer_loop_bb_set_;

	HInstructionMap live_outs_;

	ART_FRIEND_TEST(SuperblockClonerTest, AdjustControlFlowInfo);
	ART_FRIEND_TEST(SuperblockClonerTest, IsGraphConnected);

	DISALLOW_COPY_AND_ASSIGN(SuperblockCloner);
	};

	// Helper class to perform loop peeling/unrolling.
	//
	// This helper should be used when correspondence map between original and copied
	// basic blocks/instructions are demanded.
	class PeelUnrollHelper : public ValueObject {
	public:
	PeelUnrollHelper(HLoopInformation* info,
	SuperblockCloner::HBasicBlockMap* bb_map,
	SuperblockCloner::HInstructionMap* hir_map,
	InductionVarRange* induction_range) :
	loop_info_(info),
	cloner_(info->GetHeader()->GetGraph(), &info->GetBlocks(), bb_map, hir_map, induction_range) {
	// For now do peeling/unrolling only for natural loops.
	DCHECK(!info->IsIrreducible());
	}

	// Returns whether the loop can be peeled/unrolled (static function).
	static bool IsLoopClonable(HLoopInformation* loop_info);

	// Returns whether the loop can be peeled/unrolled.
	bool IsLoopClonable() const { return cloner_.IsSubgraphClonable(); }

	HBasicBlock* DoPeeling() { return DoPeelUnrollImpl(/* to_unroll= */ false); }
	HBasicBlock* DoUnrolling() { return DoPeelUnrollImpl(/* to_unroll= */ true); }
	HLoopInformation* GetRegionToBeAdjusted() const { return cloner_.GetRegionToBeAdjusted(); }

	protected:
	// Applies loop peeling/unrolling for the loop specified by 'loop_info'.
	//
	// Depending on 'do_unroll' either unrolls loop by 2 or peels one iteration from it.
	HBasicBlock* DoPeelUnrollImpl(bool to_unroll);

	private:
	HLoopInformation* loop_info_;
	SuperblockCloner cloner_;

	DISALLOW_COPY_AND_ASSIGN(PeelUnrollHelper);
	};

	// Helper class to perform loop peeling/unrolling.
	//
	// This helper should be used when there is no need to get correspondence information between
	// original and copied basic blocks/instructions.
	class PeelUnrollSimpleHelper : public ValueObject {
	public:
	PeelUnrollSimpleHelper(HLoopInformation* info, InductionVarRange* induction_range);
	bool IsLoopClonable() const { return helper_.IsLoopClonable(); }
	HBasicBlock* DoPeeling() { return helper_.DoPeeling(); }
	HBasicBlock* DoUnrolling() { return helper_.DoUnrolling(); }
	HLoopInformation* GetRegionToBeAdjusted() const { return helper_.GetRegionToBeAdjusted(); }

	const SuperblockCloner::HBasicBlockMap* GetBasicBlockMap() const { return &bb_map_; }
	const SuperblockCloner::HInstructionMap* GetInstructionMap() const { return &hir_map_; }

	private:
	SuperblockCloner::HBasicBlockMap bb_map_;
	SuperblockCloner::HInstructionMap hir_map_;
	PeelUnrollHelper helper_;

	DISALLOW_COPY_AND_ASSIGN(PeelUnrollSimpleHelper);
	};

	// Collects edge remapping info for loop peeling/unrolling for the loop specified by loop info.
	void CollectRemappingInfoForPeelUnroll(bool to_unroll,
	HLoopInformation* loop_info,
	SuperblockCloner::HEdgeSet* remap_orig_internal,
	SuperblockCloner::HEdgeSet* remap_copy_internal,
	SuperblockCloner::HEdgeSet* remap_incoming);

	// Returns whether blocks from 'work_set' are reachable from the rest of the graph.
	//
	// Returns whether such a set 'outer_entries' of basic blocks exists that:
	// - each block from 'outer_entries' is not from 'work_set'.
	// - each block from 'work_set' is reachable from at least one block from 'outer_entries'.
	//
	// After the function returns work_set contains only blocks from the original 'work_set'
	// which are unreachable from the rest of the graph.
	bool IsSubgraphConnected(SuperblockCloner::HBasicBlockSet* work_set, HGraph* graph);

	// Returns a common predecessor of loop1 and loop2 in the loop tree or nullptr if it is the whole
	// graph.
	HLoopInformation* FindCommonLoop(HLoopInformation* loop1, HLoopInformation* loop2);
	} // namespace art

	namespace std {

	template <>
	struct hash<art::HEdge> {
	size_t operator()(art::HEdge const& x) const noexcept {
	// Use Cantor pairing function as the hash function.
	size_t a = x.GetFrom();
	size_t b = x.GetTo();
	return (a + b) * (a + b + 1) / 2 + b;
	}
	};
	ostream& operator<<(ostream& os, const art::HEdge& e);

	} // namespace std

	#endif // ART_COMPILER_OPTIMIZING_SUPERBLOCK_CLONER_H_