Target/Hexagon/HexagonCommonGEP.cpp

//===--- HexagonCommonGEP.cpp ---------------------------------------------===//
//
//                     The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//

#define DEBUG_TYPE "commgep"

#include "llvm/Pass.h"
#include "llvm/ADT/FoldingSet.h"
#include "llvm/ADT/STLExtras.h"
#include "llvm/Analysis/LoopInfo.h"
#include "llvm/Analysis/PostDominators.h"
#include "llvm/IR/Constants.h"
#include "llvm/IR/Dominators.h"
#include "llvm/IR/Function.h"
#include "llvm/IR/Instructions.h"
#include "llvm/IR/Verifier.h"
#include "llvm/Support/Allocator.h"
#include "llvm/Support/CommandLine.h"
#include "llvm/Support/Debug.h"
#include "llvm/Support/raw_ostream.h"
#include "llvm/Transforms/Scalar.h"
#include "llvm/Transforms/Utils/Local.h"

#include <map>
#include <set>
#include <vector>

#include "HexagonTargetMachine.h"

using namespace llvm;

static cl::opt<bool> OptSpeculate("commgep-speculate", cl::init(true),
  cl::Hidden, cl::ZeroOrMore);

static cl::opt<bool> OptEnableInv("commgep-inv", cl::init(true), cl::Hidden,
  cl::ZeroOrMore);

static cl::opt<bool> OptEnableConst("commgep-const", cl::init(true),
  cl::Hidden, cl::ZeroOrMore);

namespace llvm {
  void initializeHexagonCommonGEPPass(PassRegistry&);
}

namespace {
  struct GepNode;
  typedef std::set<GepNode*> NodeSet;
  typedef std::map<GepNode*,Value*> NodeToValueMap;
  typedef std::vector<GepNode*> NodeVect;
  typedef std::map<GepNode*,NodeVect> NodeChildrenMap;
  typedef std::set<Use*> UseSet;
  typedef std::map<GepNode*,UseSet> NodeToUsesMap;

  // Numbering map for gep nodes. Used to keep track of ordering for
  // gep nodes.
  struct NodeOrdering {
    NodeOrdering() : LastNum(0) {}

    void insert(const GepNode *N) { Map.insert(std::make_pair(N, ++LastNum)); }
    void clear() { Map.clear(); }

    bool operator()(const GepNode *N1, const GepNode *N2) const {
      auto F1 = Map.find(N1), F2 = Map.find(N2);
      assert(F1 != Map.end() && F2 != Map.end());
      return F1->second < F2->second;
    }

  private:
    std::map<const GepNode *, unsigned> Map;
    unsigned LastNum;
  };

  class HexagonCommonGEP : public FunctionPass {
  public:
    static char ID;
    HexagonCommonGEP() : FunctionPass(ID) {
      initializeHexagonCommonGEPPass(*PassRegistry::getPassRegistry());
    }
    virtual bool runOnFunction(Function &F);
    virtual const char *getPassName() const {
      return "Hexagon Common GEP";
    }

    virtual void getAnalysisUsage(AnalysisUsage &AU) const {
      AU.addRequired<DominatorTreeWrapperPass>();
      AU.addPreserved<DominatorTreeWrapperPass>();
      AU.addRequired<PostDominatorTreeWrapperPass>();
      AU.addPreserved<PostDominatorTreeWrapperPass>();
      AU.addRequired<LoopInfoWrapperPass>();
      AU.addPreserved<LoopInfoWrapperPass>();
      FunctionPass::getAnalysisUsage(AU);
    }

  private:
    typedef std::map<Value*,GepNode*> ValueToNodeMap;
    typedef std::vector<Value*> ValueVect;
    typedef std::map<GepNode*,ValueVect> NodeToValuesMap;

    void getBlockTraversalOrder(BasicBlock *Root, ValueVect &Order);
    bool isHandledGepForm(GetElementPtrInst *GepI);
    void processGepInst(GetElementPtrInst *GepI, ValueToNodeMap &NM);
    void collect();
    void common();

    BasicBlock *recalculatePlacement(GepNode *Node, NodeChildrenMap &NCM,
                                     NodeToValueMap &Loc);
    BasicBlock *recalculatePlacementRec(GepNode *Node, NodeChildrenMap &NCM,
                                        NodeToValueMap &Loc);
    bool isInvariantIn(Value *Val, Loop *L);
    bool isInvariantIn(GepNode *Node, Loop *L);
    bool isInMainPath(BasicBlock *B, Loop *L);
    BasicBlock *adjustForInvariance(GepNode *Node, NodeChildrenMap &NCM,
                                    NodeToValueMap &Loc);
    void separateChainForNode(GepNode *Node, Use *U, NodeToValueMap &Loc);
    void separateConstantChains(GepNode *Node, NodeChildrenMap &NCM,
                                NodeToValueMap &Loc);
    void computeNodePlacement(NodeToValueMap &Loc);

    Value *fabricateGEP(NodeVect &NA, BasicBlock::iterator At,
                        BasicBlock *LocB);
    void getAllUsersForNode(GepNode *Node, ValueVect &Values,
                            NodeChildrenMap &NCM);
    void materialize(NodeToValueMap &Loc);

    void removeDeadCode();

    NodeVect Nodes;
    NodeToUsesMap Uses;
    NodeOrdering NodeOrder;   // Node ordering, for deterministic behavior.
    SpecificBumpPtrAllocator<GepNode> *Mem;
    LLVMContext *Ctx;
    LoopInfo *LI;
    DominatorTree *DT;
    PostDominatorTree *PDT;
    Function *Fn;
  };
}


char HexagonCommonGEP::ID = 0;
INITIALIZE_PASS_BEGIN(HexagonCommonGEP, "hcommgep", "Hexagon Common GEP",
      false, false)
INITIALIZE_PASS_DEPENDENCY(DominatorTreeWrapperPass)
INITIALIZE_PASS_DEPENDENCY(PostDominatorTreeWrapperPass)
INITIALIZE_PASS_DEPENDENCY(LoopInfoWrapperPass)
INITIALIZE_PASS_END(HexagonCommonGEP, "hcommgep", "Hexagon Common GEP",
      false, false)

namespace {
  struct GepNode {
    enum {
      None      = 0,
      Root      = 0x01,
      Internal  = 0x02,
      Used      = 0x04
    };

    uint32_t Flags;
    union {
      GepNode *Parent;
      Value *BaseVal;
    };
    Value *Idx;
    Type *PTy;  // Type of the pointer operand.

    GepNode() : Flags(0), Parent(0), Idx(0), PTy(0) {}
    GepNode(const GepNode *N) : Flags(N->Flags), Idx(N->Idx), PTy(N->PTy) {
      if (Flags & Root)
        BaseVal = N->BaseVal;
      else
        Parent = N->Parent;
    }
    friend raw_ostream &operator<< (raw_ostream &OS, const GepNode &GN);
  };


  Type *next_type(Type *Ty, Value *Idx) {
    // Advance the type.
    if (!Ty->isStructTy()) {
      Type *NexTy = cast<SequentialType>(Ty)->getElementType();
      return NexTy;
    }
    // Otherwise it is a struct type.
    ConstantInt *CI = dyn_cast<ConstantInt>(Idx);
    assert(CI && "Struct type with non-constant index");
    int64_t i = CI->getValue().getSExtValue();
    Type *NextTy = cast<StructType>(Ty)->getElementType(i);
    return NextTy;
  }


  raw_ostream &operator<< (raw_ostream &OS, const GepNode &GN) {
    OS << "{ {";
    bool Comma = false;
    if (GN.Flags & GepNode::Root) {
      OS << "root";
      Comma = true;
    }
    if (GN.Flags & GepNode::Internal) {
      if (Comma)
        OS << ',';
      OS << "internal";
      Comma = true;
    }
    if (GN.Flags & GepNode::Used) {
      if (Comma)
        OS << ',';
      OS << "used";
    }
    OS << "} ";
    if (GN.Flags & GepNode::Root)
      OS << "BaseVal:" << GN.BaseVal->getName() << '(' << GN.BaseVal << ')';
    else
      OS << "Parent:" << GN.Parent;

    OS << " Idx:";
    if (ConstantInt *CI = dyn_cast<ConstantInt>(GN.Idx))
      OS << CI->getValue().getSExtValue();
    else if (GN.Idx->hasName())
      OS << GN.Idx->getName();
    else
      OS << "<anon> =" << *GN.Idx;

    OS << " PTy:";
    if (GN.PTy->isStructTy()) {
      StructType *STy = cast<StructType>(GN.PTy);
      if (!STy->isLiteral())
        OS << GN.PTy->getStructName();
      else
        OS << "<anon-struct>:" << *STy;
    }
    else
      OS << *GN.PTy;
    OS << " }";
    return OS;
  }


  template <typename NodeContainer>
  void dump_node_container(raw_ostream &OS, const NodeContainer &S) {
    typedef typename NodeContainer::const_iterator const_iterator;
    for (const_iterator I = S.begin(), E = S.end(); I != E; ++I)
      OS << *I << ' ' << **I << '\n';
  }

  raw_ostream &operator<< (raw_ostream &OS,
                           const NodeVect &S) LLVM_ATTRIBUTE_UNUSED;
  raw_ostream &operator<< (raw_ostream &OS, const NodeVect &S) {
    dump_node_container(OS, S);
    return OS;
  }


  raw_ostream &operator<< (raw_ostream &OS,
                           const NodeToUsesMap &M) LLVM_ATTRIBUTE_UNUSED;
  raw_ostream &operator<< (raw_ostream &OS, const NodeToUsesMap &M){
    typedef NodeToUsesMap::const_iterator const_iterator;
    for (const_iterator I = M.begin(), E = M.end(); I != E; ++I) {
      const UseSet &Us = I->second;
      OS << I->first << " -> #" << Us.size() << '{';
      for (UseSet::const_iterator J = Us.begin(), F = Us.end(); J != F; ++J) {
        User *R = (*J)->getUser();
        if (R->hasName())
          OS << ' ' << R->getName();
        else
          OS << " <?>(" << *R << ')';
      }
      OS << " }\n";
    }
    return OS;
  }


  struct in_set {
    in_set(const NodeSet &S) : NS(S) {}
    bool operator() (GepNode *N) const {
      return NS.find(N) != NS.end();
    }
  private:
    const NodeSet &NS;
  };
}


inline void *operator new(size_t, SpecificBumpPtrAllocator<GepNode> &A) {
  return A.Allocate();
}


void HexagonCommonGEP::getBlockTraversalOrder(BasicBlock *Root,
      ValueVect &Order) {
  // Compute block ordering for a typical DT-based traversal of the flow
  // graph: "before visiting a block, all of its dominators must have been
  // visited".

  Order.push_back(Root);
  DomTreeNode *DTN = DT->getNode(Root);
  typedef GraphTraits<DomTreeNode*> GTN;
  typedef GTN::ChildIteratorType Iter;
  for (Iter I = GTN::child_begin(DTN), E = GTN::child_end(DTN); I != E; ++I)
    getBlockTraversalOrder((*I)->getBlock(), Order);
}


bool HexagonCommonGEP::isHandledGepForm(GetElementPtrInst *GepI) {
  // No vector GEPs.
  if (!GepI->getType()->isPointerTy())
    return false;
  // No GEPs without any indices.  (Is this possible?)
  if (GepI->idx_begin() == GepI->idx_end())
    return false;
  return true;
}


void HexagonCommonGEP::processGepInst(GetElementPtrInst *GepI,
      ValueToNodeMap &NM) {
  DEBUG(dbgs() << "Visiting GEP: " << *GepI << '\n');
  GepNode *N = new (*Mem) GepNode;
  Value *PtrOp = GepI->getPointerOperand();
  ValueToNodeMap::iterator F = NM.find(PtrOp);
  if (F == NM.end()) {
    N->BaseVal = PtrOp;
    N->Flags |= GepNode::Root;
  } else {
    // If PtrOp was a GEP instruction, it must have already been processed.
    // The ValueToNodeMap entry for it is the last gep node in the generated
    // chain. Link to it here.
    N->Parent = F->second;
  }
  N->PTy = PtrOp->getType();
  N->Idx = *GepI->idx_begin();

  // Collect the list of users of this GEP instruction. Will add it to the
  // last node created for it.
  UseSet Us;
  for (Value::user_iterator UI = GepI->user_begin(), UE = GepI->user_end();
       UI != UE; ++UI) {
    // Check if this gep is used by anything other than other geps that
    // we will process.
    if (isa<GetElementPtrInst>(*UI)) {
      GetElementPtrInst *UserG = cast<GetElementPtrInst>(*UI);
      if (isHandledGepForm(UserG))
        continue;
    }
    Us.insert(&UI.getUse());
  }
  Nodes.push_back(N);
  NodeOrder.insert(N);

  // Skip the first index operand, since we only handle 0. This dereferences
  // the pointer operand.
  GepNode *PN = N;
  Type *PtrTy = cast<PointerType>(PtrOp->getType())->getElementType();
  for (User::op_iterator OI = GepI->idx_begin()+1, OE = GepI->idx_end();
       OI != OE; ++OI) {
    Value *Op = *OI;
    GepNode *Nx = new (*Mem) GepNode;
    Nx->Parent = PN;  // Link Nx to the previous node.
    Nx->Flags |= GepNode::Internal;
    Nx->PTy = PtrTy;
    Nx->Idx = Op;
    Nodes.push_back(Nx);
    NodeOrder.insert(Nx);
    PN = Nx;

    PtrTy = next_type(PtrTy, Op);
  }

  // After last node has been created, update the use information.
  if (!Us.empty()) {
    PN->Flags |= GepNode::Used;
    Uses[PN].insert(Us.begin(), Us.end());
  }

  // Link the last node with the originating GEP instruction. This is to
  // help with linking chained GEP instructions.
  NM.insert(std::make_pair(GepI, PN));
}


void HexagonCommonGEP::collect() {
  // Establish depth-first traversal order of the dominator tree.
  ValueVect BO;
  getBlockTraversalOrder(&Fn->front(), BO);

  // The creation of gep nodes requires DT-traversal. When processing a GEP
  // instruction that uses another GEP instruction as the base pointer, the
  // gep node for the base pointer should already exist.
  ValueToNodeMap NM;
  for (ValueVect::iterator I = BO.begin(), E = BO.end(); I != E; ++I) {
    BasicBlock *B = cast<BasicBlock>(*I);
    for (BasicBlock::iterator J = B->begin(), F = B->end(); J != F; ++J) {
      if (!isa<GetElementPtrInst>(J))
        continue;
      GetElementPtrInst *GepI = cast<GetElementPtrInst>(J);
      if (isHandledGepForm(GepI))
        processGepInst(GepI, NM);
    }
  }

  DEBUG(dbgs() << "Gep nodes after initial collection:\n" << Nodes);
}


namespace {
  void invert_find_roots(const NodeVect &Nodes, NodeChildrenMap &NCM,
        NodeVect &Roots) {
    typedef NodeVect::const_iterator const_iterator;
    for (const_iterator I = Nodes.begin(), E = Nodes.end(); I != E; ++I) {
      GepNode *N = *I;
      if (N->Flags & GepNode::Root) {
        Roots.push_back(N);
        continue;
      }
      GepNode *PN = N->Parent;
      NCM[PN].push_back(N);
    }
  }

  void nodes_for_root(GepNode *Root, NodeChildrenMap &NCM, NodeSet &Nodes) {
    NodeVect Work;
    Work.push_back(Root);
    Nodes.insert(Root);

    while (!Work.empty()) {
      NodeVect::iterator First = Work.begin();
      GepNode *N = *First;
      Work.erase(First);
      NodeChildrenMap::iterator CF = NCM.find(N);
      if (CF != NCM.end()) {
        Work.insert(Work.end(), CF->second.begin(), CF->second.end());
        Nodes.insert(CF->second.begin(), CF->second.end());
      }
    }
  }
}


namespace {
  typedef std::set<NodeSet> NodeSymRel;
  typedef std::pair<GepNode*,GepNode*> NodePair;
  typedef std::set<NodePair> NodePairSet;

  const NodeSet *node_class(GepNode *N, NodeSymRel &Rel) {
    for (NodeSymRel::iterator I = Rel.begin(), E = Rel.end(); I != E; ++I)
      if (I->count(N))
        return &*I;
    return 0;
  }

  // Create an ordered pair of GepNode pointers. The pair will be used in
  // determining equality. The only purpose of the ordering is to eliminate
  // duplication due to the commutativity of equality/non-equality.
  NodePair node_pair(GepNode *N1, GepNode *N2) {
    uintptr_t P1 = uintptr_t(N1), P2 = uintptr_t(N2);
    if (P1 <= P2)
      return std::make_pair(N1, N2);
    return std::make_pair(N2, N1);
  }

  unsigned node_hash(GepNode *N) {
    // Include everything except flags and parent.
    FoldingSetNodeID ID;
    ID.AddPointer(N->Idx);
    ID.AddPointer(N->PTy);
    return ID.ComputeHash();
  }

  bool node_eq(GepNode *N1, GepNode *N2, NodePairSet &Eq, NodePairSet &Ne) {
    // Don't cache the result for nodes with different hashes. The hash
    // comparison is fast enough.
    if (node_hash(N1) != node_hash(N2))
      return false;

    NodePair NP = node_pair(N1, N2);
    NodePairSet::iterator FEq = Eq.find(NP);
    if (FEq != Eq.end())
      return true;
    NodePairSet::iterator FNe = Ne.find(NP);
    if (FNe != Ne.end())
      return false;
    // Not previously compared.
    bool Root1 = N1->Flags & GepNode::Root;
    bool Root2 = N2->Flags & GepNode::Root;
    NodePair P = node_pair(N1, N2);
    // If the Root flag has different values, the nodes are different.
    // If both nodes are root nodes, but their base pointers differ,
    // they are different.
    if (Root1 != Root2 || (Root1 && N1->BaseVal != N2->BaseVal)) {
      Ne.insert(P);
      return false;
    }
    // Here the root flags are identical, and for root nodes the
    // base pointers are equal, so the root nodes are equal.
    // For non-root nodes, compare their parent nodes.
    if (Root1 || node_eq(N1->Parent, N2->Parent, Eq, Ne)) {
      Eq.insert(P);
      return true;
    }
    return false;
  }
}


void HexagonCommonGEP::common() {
  // The essence of this commoning is finding gep nodes that are equal.
  // To do this we need to compare all pairs of nodes. To save time,
  // first, partition the set of all nodes into sets of potentially equal
  // nodes, and then compare pairs from within each partition.
  typedef std::map<unsigned,NodeSet> NodeSetMap;
  NodeSetMap MaybeEq;

  for (NodeVect::iterator I = Nodes.begin(), E = Nodes.end(); I != E; ++I) {
    GepNode *N = *I;
    unsigned H = node_hash(N);
    MaybeEq[H].insert(N);
  }

  // Compute the equivalence relation for the gep nodes.  Use two caches,
  // one for equality and the other for non-equality.
  NodeSymRel EqRel;  // Equality relation (as set of equivalence classes).
  NodePairSet Eq, Ne;  // Caches.
  for (NodeSetMap::iterator I = MaybeEq.begin(), E = MaybeEq.end();
       I != E; ++I) {
    NodeSet &S = I->second;
    for (NodeSet::iterator NI = S.begin(), NE = S.end(); NI != NE; ++NI) {
      GepNode *N = *NI;
      // If node already has a class, then the class must have been created
      // in a prior iteration of this loop. Since equality is transitive,
      // nothing more will be added to that class, so skip it.
      if (node_class(N, EqRel))
        continue;

      // Create a new class candidate now.
      NodeSet C;
      for (NodeSet::iterator NJ = std::next(NI); NJ != NE; ++NJ)
        if (node_eq(N, *NJ, Eq, Ne))
          C.insert(*NJ);
      // If Tmp is empty, N would be the only element in it. Don't bother
      // creating a class for it then.
      if (!C.empty()) {
        C.insert(N);  // Finalize the set before adding it to the relation.
        std::pair<NodeSymRel::iterator, bool> Ins = EqRel.insert(C);
        (void)Ins;
        assert(Ins.second && "Cannot add a class");
      }
    }
  }

  DEBUG({
    dbgs() << "Gep node equality:\n";
    for (NodePairSet::iterator I = Eq.begin(), E = Eq.end(); I != E; ++I)
      dbgs() << "{ " << I->first << ", " << I->second << " }\n";

    dbgs() << "Gep equivalence classes:\n";
    for (NodeSymRel::iterator I = EqRel.begin(), E = EqRel.end(); I != E; ++I) {
      dbgs() << '{';
      const NodeSet &S = *I;
      for (NodeSet::const_iterator J = S.begin(), F = S.end(); J != F; ++J) {
        if (J != S.begin())
          dbgs() << ',';
        dbgs() << ' ' << *J;
      }
      dbgs() << " }\n";
    }
  });


  // Create a projection from a NodeSet to the minimal element in it.
  typedef std::map<const NodeSet*,GepNode*> ProjMap;
  ProjMap PM;
  for (NodeSymRel::iterator I = EqRel.begin(), E = EqRel.end(); I != E; ++I) {
    const NodeSet &S = *I;
    GepNode *Min = *std::min_element(S.begin(), S.end(), NodeOrder);
    std::pair<ProjMap::iterator,bool> Ins = PM.insert(std::make_pair(&S, Min));
    (void)Ins;
    assert(Ins.second && "Cannot add minimal element");

    // Update the min element's flags, and user list.
    uint32_t Flags = 0;
    UseSet &MinUs = Uses[Min];
    for (NodeSet::iterator J = S.begin(), F = S.end(); J != F; ++J) {
      GepNode *N = *J;
      uint32_t NF = N->Flags;
      // If N is used, append all original values of N to the list of
      // original values of Min.
      if (NF & GepNode::Used)
        MinUs.insert(Uses[N].begin(), Uses[N].end());
      Flags |= NF;
    }
    if (MinUs.empty())
      Uses.erase(Min);

    // The collected flags should include all the flags from the min element.
    assert((Min->Flags & Flags) == Min->Flags);
    Min->Flags = Flags;
  }

  // Commoning: for each non-root gep node, replace "Parent" with the
  // selected (minimum) node from the corresponding equivalence class.
  // If a given parent does not have an equivalence class, leave it
  // unchanged (it means that it's the only element in its class).
  for (NodeVect::iterator I = Nodes.begin(), E = Nodes.end(); I != E; ++I) {
    GepNode *N = *I;
    if (N->Flags & GepNode::Root)
      continue;
    const NodeSet *PC = node_class(N->Parent, EqRel);
    if (!PC)
      continue;
    ProjMap::iterator F = PM.find(PC);
    if (F == PM.end())
      continue;
    // Found a replacement, use it.
    GepNode *Rep = F->second;
    N->Parent = Rep;
  }

  DEBUG(dbgs() << "Gep nodes after commoning:\n" << Nodes);

  // Finally, erase the nodes that are no longer used.
  NodeSet Erase;
  for (NodeVect::iterator I = Nodes.begin(), E = Nodes.end(); I != E; ++I) {
    GepNode *N = *I;
    const NodeSet *PC = node_class(N, EqRel);
    if (!PC)
      continue;
    ProjMap::iterator F = PM.find(PC);
    if (F == PM.end())
      continue;
    if (N == F->second)
      continue;
    // Node for removal.
    Erase.insert(*I);
  }
  NodeVect::iterator NewE = remove_if(Nodes, in_set(Erase));
  Nodes.resize(std::distance(Nodes.begin(), NewE));

  DEBUG(dbgs() << "Gep nodes after post-commoning cleanup:\n" << Nodes);
}


namespace {
  template <typename T>
  BasicBlock *nearest_common_dominator(DominatorTree *DT, T &Blocks) {
    DEBUG({
      dbgs() << "NCD of {";
      for (typename T::iterator I = Blocks.begin(), E = Blocks.end();
           I != E; ++I) {
        if (!*I)
          continue;
        BasicBlock *B = cast<BasicBlock>(*I);
        dbgs() << ' ' << B->getName();
      }
      dbgs() << " }\n";
    });

    // Allow null basic blocks in Blocks.  In such cases, return 0.
    typename T::iterator I = Blocks.begin(), E = Blocks.end();
    if (I == E || !*I)
      return 0;
    BasicBlock *Dom = cast<BasicBlock>(*I);
    while (++I != E) {
      BasicBlock *B = cast_or_null<BasicBlock>(*I);
      Dom = B ? DT->findNearestCommonDominator(Dom, B) : 0;
      if (!Dom)
        return 0;
    }
    DEBUG(dbgs() << "computed:" << Dom->getName() << '\n');
    return Dom;
  }

  template <typename T>
  BasicBlock *nearest_common_dominatee(DominatorTree *DT, T &Blocks) {
    // If two blocks, A and B, dominate a block C, then A dominates B,
    // or B dominates A.
    typename T::iterator I = Blocks.begin(), E = Blocks.end();
    // Find the first non-null block.
    while (I != E && !*I)
      ++I;
    if (I == E)
      return DT->getRoot();
    BasicBlock *DomB = cast<BasicBlock>(*I);
    while (++I != E) {
      if (!*I)
        continue;
      BasicBlock *B = cast<BasicBlock>(*I);
      if (DT->dominates(B, DomB))
        continue;
      if (!DT->dominates(DomB, B))
        return 0;
      DomB = B;
    }
    return DomB;
  }

  // Find the first use in B of any value from Values. If no such use,
  // return B->end().
  template <typename T>
  BasicBlock::iterator first_use_of_in_block(T &Values, BasicBlock *B) {
    BasicBlock::iterator FirstUse = B->end(), BEnd = B->end();
    typedef typename T::iterator iterator;
    for (iterator I = Values.begin(), E = Values.end(); I != E; ++I) {
      Value *V = *I;
      // If V is used in a PHI node, the use belongs to the incoming block,
      // not the block with the PHI node. In the incoming block, the use
      // would be considered as being at the end of it, so it cannot
      // influence the position of the first use (which is assumed to be
      // at the end to start with).
      if (isa<PHINode>(V))
        continue;
      if (!isa<Instruction>(V))
        continue;
      Instruction *In = cast<Instruction>(V);
      if (In->getParent() != B)
        continue;
      BasicBlock::iterator It = In->getIterator();
      if (std::distance(FirstUse, BEnd) < std::distance(It, BEnd))
        FirstUse = It;
    }
    return FirstUse;
  }

  bool is_empty(const BasicBlock *B) {
    return B->empty() || (&*B->begin() == B->getTerminator());
  }
}


BasicBlock *HexagonCommonGEP::recalculatePlacement(GepNode *Node,
      NodeChildrenMap &NCM, NodeToValueMap &Loc) {
  DEBUG(dbgs() << "Loc for node:" << Node << '\n');
  // Recalculate the placement for Node, assuming that the locations of
  // its children in Loc are valid.
  // Return 0 if there is no valid placement for Node (for example, it
  // uses an index value that is not available at the location required
  // to dominate all children, etc.).

  // Find the nearest common dominator for:
  // - all users, if the node is used, and
  // - all children.
  ValueVect Bs;
  if (Node->Flags & GepNode::Used) {
    // Append all blocks with uses of the original values to the
    // block vector Bs.
    NodeToUsesMap::iterator UF = Uses.find(Node);
    assert(UF != Uses.end() && "Used node with no use information");
    UseSet &Us = UF->second;
    for (UseSet::iterator I = Us.begin(), E = Us.end(); I != E; ++I) {
      Use *U = *I;
      User *R = U->getUser();
      if (!isa<Instruction>(R))
        continue;
      BasicBlock *PB = isa<PHINode>(R)
          ? cast<PHINode>(R)->getIncomingBlock(*U)
          : cast<Instruction>(R)->getParent();
      Bs.push_back(PB);
    }
  }
  // Append the location of each child.
  NodeChildrenMap::iterator CF = NCM.find(Node);
  if (CF != NCM.end()) {
    NodeVect &Cs = CF->second;
    for (NodeVect::iterator I = Cs.begin(), E = Cs.end(); I != E; ++I) {
      GepNode *CN = *I;
      NodeToValueMap::iterator LF = Loc.find(CN);
      // If the child is only used in GEP instructions (i.e. is not used in
      // non-GEP instructions), the nearest dominator computed for it may
      // have been null. In such case it won't have a location available.
      if (LF == Loc.end())
        continue;
      Bs.push_back(LF->second);
    }
  }

  BasicBlock *DomB = nearest_common_dominator(DT, Bs);
  if (!DomB)
    return 0;
  // Check if the index used by Node dominates the computed dominator.
  Instruction *IdxI = dyn_cast<Instruction>(Node->Idx);
  if (IdxI && !DT->dominates(IdxI->getParent(), DomB))
    return 0;

  // Avoid putting nodes into empty blocks.
  while (is_empty(DomB)) {
    DomTreeNode *N = (*DT)[DomB]->getIDom();
    if (!N)
      break;
    DomB = N->getBlock();
  }

  // Otherwise, DomB is fine. Update the location map.
  Loc[Node] = DomB;
  return DomB;
}


BasicBlock *HexagonCommonGEP::recalculatePlacementRec(GepNode *Node,
      NodeChildrenMap &NCM, NodeToValueMap &Loc) {
  DEBUG(dbgs() << "LocRec begin for node:" << Node << '\n');
  // Recalculate the placement of Node, after recursively recalculating the
  // placements of all its children.
  NodeChildrenMap::iterator CF = NCM.find(Node);
  if (CF != NCM.end()) {
    NodeVect &Cs = CF->second;
    for (NodeVect::iterator I = Cs.begin(), E = Cs.end(); I != E; ++I)
      recalculatePlacementRec(*I, NCM, Loc);
  }
  BasicBlock *LB = recalculatePlacement(Node, NCM, Loc);
  DEBUG(dbgs() << "LocRec end for node:" << Node << '\n');
  return LB;
}


bool HexagonCommonGEP::isInvariantIn(Value *Val, Loop *L) {
  if (isa<Constant>(Val) || isa<Argument>(Val))
    return true;
  Instruction *In = dyn_cast<Instruction>(Val);
  if (!In)
    return false;
  BasicBlock *HdrB = L->getHeader(), *DefB = In->getParent();
  return DT->properlyDominates(DefB, HdrB);
}


bool HexagonCommonGEP::isInvariantIn(GepNode *Node, Loop *L) {
  if (Node->Flags & GepNode::Root)
    if (!isInvariantIn(Node->BaseVal, L))
      return false;
  return isInvariantIn(Node->Idx, L);
}


bool HexagonCommonGEP::isInMainPath(BasicBlock *B, Loop *L) {
  BasicBlock *HB = L->getHeader();
  BasicBlock *LB = L->getLoopLatch();
  // B must post-dominate the loop header or dominate the loop latch.
  if (PDT->dominates(B, HB))
    return true;
  if (LB && DT->dominates(B, LB))
    return true;
  return false;
}


namespace {
  BasicBlock *preheader(DominatorTree *DT, Loop *L) {
    if (BasicBlock *PH = L->getLoopPreheader())
      return PH;
    if (!OptSpeculate)
      return 0;
    DomTreeNode *DN = DT->getNode(L->getHeader());
    if (!DN)
      return 0;
    return DN->getIDom()->getBlock();
  }
}


BasicBlock *HexagonCommonGEP::adjustForInvariance(GepNode *Node,
      NodeChildrenMap &NCM, NodeToValueMap &Loc) {
  // Find the "topmost" location for Node: it must be dominated by both,
  // its parent (or the BaseVal, if it's a root node), and by the index
  // value.
  ValueVect Bs;
  if (Node->Flags & GepNode::Root) {
    if (Instruction *PIn = dyn_cast<Instruction>(Node->BaseVal))
      Bs.push_back(PIn->getParent());
  } else {
    Bs.push_back(Loc[Node->Parent]);
  }
  if (Instruction *IIn = dyn_cast<Instruction>(Node->Idx))
    Bs.push_back(IIn->getParent());
  BasicBlock *TopB = nearest_common_dominatee(DT, Bs);

  // Traverse the loop nest upwards until we find a loop in which Node
  // is no longer invariant, or until we get to the upper limit of Node's
  // placement. The traversal will also stop when a suitable "preheader"
  // cannot be found for a given loop. The "preheader" may actually be
  // a regular block outside of the loop (i.e. not guarded), in which case
  // the Node will be speculated.
  // For nodes that are not in the main path of the containing loop (i.e.
  // are not executed in each iteration), do not move them out of the loop.
  BasicBlock *LocB = cast_or_null<BasicBlock>(Loc[Node]);
  if (LocB) {
    Loop *Lp = LI->getLoopFor(LocB);
    while (Lp) {
      if (!isInvariantIn(Node, Lp) || !isInMainPath(LocB, Lp))
        break;
      BasicBlock *NewLoc = preheader(DT, Lp);
      if (!NewLoc || !DT->dominates(TopB, NewLoc))
        break;
      Lp = Lp->getParentLoop();
      LocB = NewLoc;
    }
  }
  Loc[Node] = LocB;

  // Recursively compute the locations of all children nodes.
  NodeChildrenMap::iterator CF = NCM.find(Node);
  if (CF != NCM.end()) {
    NodeVect &Cs = CF->second;
    for (NodeVect::iterator I = Cs.begin(), E = Cs.end(); I != E; ++I)
      adjustForInvariance(*I, NCM, Loc);
  }
  return LocB;
}


namespace {
  struct LocationAsBlock {
    LocationAsBlock(const NodeToValueMap &L) : Map(L) {}
    const NodeToValueMap &Map;
  };

  raw_ostream &operator<< (raw_ostream &OS,
                           const LocationAsBlock &Loc) LLVM_ATTRIBUTE_UNUSED ;
  raw_ostream &operator<< (raw_ostream &OS, const LocationAsBlock &Loc) {
    for (NodeToValueMap::const_iterator I = Loc.Map.begin(), E = Loc.Map.end();
         I != E; ++I) {
      OS << I->first << " -> ";
      BasicBlock *B = cast<BasicBlock>(I->second);
      OS << B->getName() << '(' << B << ')';
      OS << '\n';
    }
    return OS;
  }

  inline bool is_constant(GepNode *N) {
    return isa<ConstantInt>(N->Idx);
  }
}


void HexagonCommonGEP::separateChainForNode(GepNode *Node, Use *U,
      NodeToValueMap &Loc) {
  User *R = U->getUser();
  DEBUG(dbgs() << "Separating chain for node (" << Node << ") user: "
               << *R << '\n');
  BasicBlock *PB = cast<Instruction>(R)->getParent();

  GepNode *N = Node;
  GepNode *C = 0, *NewNode = 0;
  while (is_constant(N) && !(N->Flags & GepNode::Root)) {
    // XXX if (single-use) dont-replicate;
    GepNode *NewN = new (*Mem) GepNode(N);
    Nodes.push_back(NewN);
    Loc[NewN] = PB;

    if (N == Node)
      NewNode = NewN;
    NewN->Flags &= ~GepNode::Used;
    if (C)
      C->Parent = NewN;
    C = NewN;
    N = N->Parent;
  }
  if (!NewNode)
    return;

  // Move over all uses that share the same user as U from Node to NewNode.
  NodeToUsesMap::iterator UF = Uses.find(Node);
  assert(UF != Uses.end());
  UseSet &Us = UF->second;
  UseSet NewUs;
  for (UseSet::iterator I = Us.begin(); I != Us.end(); ) {
    User *S = (*I)->getUser();
    UseSet::iterator Nx = std::next(I);
    if (S == R) {
      NewUs.insert(*I);
      Us.erase(I);
    }
    I = Nx;
  }
  if (Us.empty()) {
    Node->Flags &= ~GepNode::Used;
    Uses.erase(UF);
  }

  // Should at least have U in NewUs.
  NewNode->Flags |= GepNode::Used;
  DEBUG(dbgs() << "new node: " << NewNode << "  " << *NewNode << '\n');
  assert(!NewUs.empty());
  Uses[NewNode] = NewUs;
}


void HexagonCommonGEP::separateConstantChains(GepNode *Node,
      NodeChildrenMap &NCM, NodeToValueMap &Loc) {
  // First approximation: extract all chains.
  NodeSet Ns;
  nodes_for_root(Node, NCM, Ns);

  DEBUG(dbgs() << "Separating constant chains for node: " << Node << '\n');
  // Collect all used nodes together with the uses from loads and stores,
  // where the GEP node could be folded into the load/store instruction.
  NodeToUsesMap FNs; // Foldable nodes.
  for (NodeSet::iterator I = Ns.begin(), E = Ns.end(); I != E; ++I) {
    GepNode *N = *I;
    if (!(N->Flags & GepNode::Used))
      continue;
    NodeToUsesMap::iterator UF = Uses.find(N);
    assert(UF != Uses.end());
    UseSet &Us = UF->second;
    // Loads/stores that use the node N.
    UseSet LSs;
    for (UseSet::iterator J = Us.begin(), F = Us.end(); J != F; ++J) {
      Use *U = *J;
      User *R = U->getUser();
      // We're interested in uses that provide the address. It can happen
      // that the value may also be provided via GEP, but we won't handle
      // those cases here for now.
      if (LoadInst *Ld = dyn_cast<LoadInst>(R)) {
        unsigned PtrX = LoadInst::getPointerOperandIndex();
        if (&Ld->getOperandUse(PtrX) == U)
          LSs.insert(U);
      } else if (StoreInst *St = dyn_cast<StoreInst>(R)) {
        unsigned PtrX = StoreInst::getPointerOperandIndex();
        if (&St->getOperandUse(PtrX) == U)
          LSs.insert(U);
      }
    }
    // Even if the total use count is 1, separating the chain may still be
    // beneficial, since the constant chain may be longer than the GEP alone
    // would be (e.g. if the parent node has a constant index and also has
    // other children).
    if (!LSs.empty())
      FNs.insert(std::make_pair(N, LSs));
  }

  DEBUG(dbgs() << "Nodes with foldable users:\n" << FNs);

  for (NodeToUsesMap::iterator I = FNs.begin(), E = FNs.end(); I != E; ++I) {
    GepNode *N = I->first;
    UseSet &Us = I->second;
    for (UseSet::iterator J = Us.begin(), F = Us.end(); J != F; ++J)
      separateChainForNode(N, *J, Loc);
  }
}


void HexagonCommonGEP::computeNodePlacement(NodeToValueMap &Loc) {
  // Compute the inverse of the Node.Parent links. Also, collect the set
  // of root nodes.
  NodeChildrenMap NCM;
  NodeVect Roots;
  invert_find_roots(Nodes, NCM, Roots);

  // Compute the initial placement determined by the users' locations, and
  // the locations of the child nodes.
  for (NodeVect::iterator I = Roots.begin(), E = Roots.end(); I != E; ++I)
    recalculatePlacementRec(*I, NCM, Loc);

  DEBUG(dbgs() << "Initial node placement:\n" << LocationAsBlock(Loc));

  if (OptEnableInv) {
    for (NodeVect::iterator I = Roots.begin(), E = Roots.end(); I != E; ++I)
      adjustForInvariance(*I, NCM, Loc);

    DEBUG(dbgs() << "Node placement after adjustment for invariance:\n"
                 << LocationAsBlock(Loc));
  }
  if (OptEnableConst) {
    for (NodeVect::iterator I = Roots.begin(), E = Roots.end(); I != E; ++I)
      separateConstantChains(*I, NCM, Loc);
  }
  DEBUG(dbgs() << "Node use information:\n" << Uses);

  // At the moment, there is no further refinement of the initial placement.
  // Such a refinement could include splitting the nodes if they are placed
  // too far from some of its users.

  DEBUG(dbgs() << "Final node placement:\n" << LocationAsBlock(Loc));
}


Value *HexagonCommonGEP::fabricateGEP(NodeVect &NA, BasicBlock::iterator At,
      BasicBlock *LocB) {
  DEBUG(dbgs() << "Fabricating GEP in " << LocB->getName()
               << " for nodes:\n" << NA);
  unsigned Num = NA.size();
  GepNode *RN = NA[0];
  assert((RN->Flags & GepNode::Root) && "Creating GEP for non-root");

  Value *NewInst = 0;
  Value *Input = RN->BaseVal;
  Value **IdxList = new Value*[Num+1];
  unsigned nax = 0;
  do {
    unsigned IdxC = 0;
    // If the type of the input of the first node is not a pointer,
    // we need to add an artificial i32 0 to the indices (because the
    // actual input in the IR will be a pointer).
    if (!NA[nax]->PTy->isPointerTy()) {
      Type *Int32Ty = Type::getInt32Ty(*Ctx);
      IdxList[IdxC++] = ConstantInt::get(Int32Ty, 0);
    }

    // Keep adding indices from NA until we have to stop and generate
    // an "intermediate" GEP.
    while (++nax <= Num) {
      GepNode *N = NA[nax-1];
      IdxList[IdxC++] = N->Idx;
      if (nax < Num) {
        // We have to stop, if the expected type of the output of this node
        // is not the same as the input type of the next node.
        Type *NextTy = next_type(N->PTy, N->Idx);
        if (NextTy != NA[nax]->PTy)
          break;
      }
    }
    ArrayRef<Value*> A(IdxList, IdxC);
    Type *InpTy = Input->getType();
    Type *ElTy = cast<PointerType>(InpTy->getScalarType())->getElementType();
    NewInst = GetElementPtrInst::Create(ElTy, Input, A, "cgep", &*At);
    DEBUG(dbgs() << "new GEP: " << *NewInst << '\n');
    Input = NewInst;
  } while (nax <= Num);

  delete[] IdxList;
  return NewInst;
}


void HexagonCommonGEP::getAllUsersForNode(GepNode *Node, ValueVect &Values,
      NodeChildrenMap &NCM) {
  NodeVect Work;
  Work.push_back(Node);

  while (!Work.empty()) {
    NodeVect::iterator First = Work.begin();
    GepNode *N = *First;
    Work.erase(First);
    if (N->Flags & GepNode::Used) {
      NodeToUsesMap::iterator UF = Uses.find(N);
      assert(UF != Uses.end() && "No use information for used node");
      UseSet &Us = UF->second;
      for (UseSet::iterator I = Us.begin(), E = Us.end(); I != E; ++I)
        Values.push_back((*I)->getUser());
    }
    NodeChildrenMap::iterator CF = NCM.find(N);
    if (CF != NCM.end()) {
      NodeVect &Cs = CF->second;
      Work.insert(Work.end(), Cs.begin(), Cs.end());
    }
  }
}


void HexagonCommonGEP::materialize(NodeToValueMap &Loc) {
  DEBUG(dbgs() << "Nodes before materialization:\n" << Nodes << '\n');
  NodeChildrenMap NCM;
  NodeVect Roots;
  // Compute the inversion again, since computing placement could alter
  // "parent" relation between nodes.
  invert_find_roots(Nodes, NCM, Roots);

  while (!Roots.empty()) {
    NodeVect::iterator First = Roots.begin();
    GepNode *Root = *First, *Last = *First;
    Roots.erase(First);

    NodeVect NA;  // Nodes to assemble.
    // Append to NA all child nodes up to (and including) the first child
    // that:
    // (1) has more than 1 child, or
    // (2) is used, or
    // (3) has a child located in a different block.
    bool LastUsed = false;
    unsigned LastCN = 0;
    // The location may be null if the computation failed (it can legitimately
    // happen for nodes created from dead GEPs).
    Value *LocV = Loc[Last];
    if (!LocV)
      continue;
    BasicBlock *LastB = cast<BasicBlock>(LocV);
    do {
      NA.push_back(Last);
      LastUsed = (Last->Flags & GepNode::Used);
      if (LastUsed)
        break;
      NodeChildrenMap::iterator CF = NCM.find(Last);
      LastCN = (CF != NCM.end()) ? CF->second.size() : 0;
      if (LastCN != 1)
        break;
      GepNode *Child = CF->second.front();
      BasicBlock *ChildB = cast_or_null<BasicBlock>(Loc[Child]);
      if (ChildB != 0 && LastB != ChildB)
        break;
      Last = Child;
    } while (true);

    BasicBlock::iterator InsertAt = LastB->getTerminator()->getIterator();
    if (LastUsed || LastCN > 0) {
      ValueVect Urs;
      getAllUsersForNode(Root, Urs, NCM);
      BasicBlock::iterator FirstUse = first_use_of_in_block(Urs, LastB);
      if (FirstUse != LastB->end())
        InsertAt = FirstUse;
    }

    // Generate a new instruction for NA.
    Value *NewInst = fabricateGEP(NA, InsertAt, LastB);

    // Convert all the children of Last node into roots, and append them
    // to the Roots list.
    if (LastCN > 0) {
      NodeVect &Cs = NCM[Last];
      for (NodeVect::iterator I = Cs.begin(), E = Cs.end(); I != E; ++I) {
        GepNode *CN = *I;
        CN->Flags &= ~GepNode::Internal;
        CN->Flags |= GepNode::Root;
        CN->BaseVal = NewInst;
        Roots.push_back(CN);
      }
    }

    // Lastly, if the Last node was used, replace all uses with the new GEP.
    // The uses reference the original GEP values.
    if (LastUsed) {
      NodeToUsesMap::iterator UF = Uses.find(Last);
      assert(UF != Uses.end() && "No use information found");
      UseSet &Us = UF->second;
      for (UseSet::iterator I = Us.begin(), E = Us.end(); I != E; ++I) {
        Use *U = *I;
        U->set(NewInst);
      }
    }
  }
}


void HexagonCommonGEP::removeDeadCode() {
  ValueVect BO;
  BO.push_back(&Fn->front());

  for (unsigned i = 0; i < BO.size(); ++i) {
    BasicBlock *B = cast<BasicBlock>(BO[i]);
    DomTreeNode *N = DT->getNode(B);
    typedef GraphTraits<DomTreeNode*> GTN;
    typedef GTN::ChildIteratorType Iter;
    for (Iter I = GTN::child_begin(N), E = GTN::child_end(N); I != E; ++I)
      BO.push_back((*I)->getBlock());
  }

  for (unsigned i = BO.size(); i > 0; --i) {
    BasicBlock *B = cast<BasicBlock>(BO[i-1]);
    BasicBlock::InstListType &IL = B->getInstList();
    typedef BasicBlock::InstListType::reverse_iterator reverse_iterator;
    ValueVect Ins;
    for (reverse_iterator I = IL.rbegin(), E = IL.rend(); I != E; ++I)
      Ins.push_back(&*I);
    for (ValueVect::iterator I = Ins.begin(), E = Ins.end(); I != E; ++I) {
      Instruction *In = cast<Instruction>(*I);
      if (isInstructionTriviallyDead(In))
        In->eraseFromParent();
    }
  }
}


bool HexagonCommonGEP::runOnFunction(Function &F) {
  if (skipFunction(F))
    return false;

  // For now bail out on C++ exception handling.
  for (Function::iterator A = F.begin(), Z = F.end(); A != Z; ++A)
    for (BasicBlock::iterator I = A->begin(), E = A->end(); I != E; ++I)
      if (isa<InvokeInst>(I) || isa<LandingPadInst>(I))
        return false;

  Fn = &F;
  DT = &getAnalysis<DominatorTreeWrapperPass>().getDomTree();
  PDT = &getAnalysis<PostDominatorTreeWrapperPass>().getPostDomTree();
  LI = &getAnalysis<LoopInfoWrapperPass>().getLoopInfo();
  Ctx = &F.getContext();

  Nodes.clear();
  Uses.clear();
  NodeOrder.clear();

  SpecificBumpPtrAllocator<GepNode> Allocator;
  Mem = &Allocator;

  collect();
  common();

  NodeToValueMap Loc;
  computeNodePlacement(Loc);
  materialize(Loc);
  removeDeadCode();

#ifdef EXPENSIVE_CHECKS
  // Run this only when expensive checks are enabled.
  verifyFunction(F);
#endif
  return true;
}


namespace llvm {
  FunctionPass *createHexagonCommonGEP() {
    return new HexagonCommonGEP();
  }
}