WebAssemblyFixIrreducibleControlFlow.cpp

//=- WebAssemblyFixIrreducibleControlFlow.cpp - Fix irreducible control flow -//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
///
/// \file
/// This file implements a pass that removes irreducible control flow.
/// Irreducible control flow means multiple-entry loops, which this pass
/// transforms to have a single entry.
///
/// Note that LLVM has a generic pass that lowers irreducible control flow, but
/// it linearizes control flow, turning diamonds into two triangles, which is
/// both unnecessary and undesirable for WebAssembly.
///
/// The big picture: We recursively process each "region", defined as a group
/// of blocks with a single entry and no branches back to that entry. A region
/// may be the entire function body, or the inner part of a loop, i.e., the
/// loop's body without branches back to the loop entry. In each region we fix
/// up multi-entry loops by adding a new block that can dispatch to each of the
/// loop entries, based on the value of a label "helper" variable, and we
/// replace direct branches to the entries with assignments to the label
/// variable and a branch to the dispatch block. Then the dispatch block is the
/// single entry in the loop containing the previous multiple entries. After
/// ensuring all the loops in a region are reducible, we recurse into them. The
/// total time complexity of this pass is:
///
///   O(NumBlocks * NumNestedLoops * NumIrreducibleLoops +
///     NumLoops * NumLoops)
///
/// This pass is similar to what the Relooper [1] does. Both identify looping
/// code that requires multiple entries, and resolve it in a similar way (in
/// Relooper terminology, we implement a Multiple shape in a Loop shape). Note
/// also that like the Relooper, we implement a "minimal" intervention: we only
/// use the "label" helper for the blocks we absolutely must and no others. We
/// also prioritize code size and do not duplicate code in order to resolve
/// irreducibility. The graph algorithms for finding loops and entries and so
/// forth are also similar to the Relooper. The main differences between this
/// pass and the Relooper are:
///
///  * We just care about irreducibility, so we just look at loops.
///  * The Relooper emits structured control flow (with ifs etc.), while we
///    emit a CFG.
///
/// [1] Alon Zakai. 2011. Emscripten: an LLVM-to-JavaScript compiler. In
/// Proceedings of the ACM international conference companion on Object oriented
/// programming systems languages and applications companion (SPLASH '11). ACM,
/// New York, NY, USA, 301-312. DOI=10.1145/2048147.2048224
/// http://doi.acm.org/10.1145/2048147.2048224
///
//===----------------------------------------------------------------------===//

#include "MCTargetDesc/WebAssemblyMCTargetDesc.h"
#include "WebAssembly.h"
#include "WebAssemblySubtarget.h"
#include "llvm/CodeGen/MachineInstrBuilder.h"
#include "llvm/Support/Debug.h"
using namespace llvm;

#define DEBUG_TYPE "wasm-fix-irreducible-control-flow"

namespace {

using BlockVector = SmallVector<MachineBasicBlock *, 4>;
using BlockSet = SmallPtrSet<MachineBasicBlock *, 4>;

static BlockVector getSortedEntries(const BlockSet &Entries) {
  BlockVector SortedEntries(Entries.begin(), Entries.end());
  llvm::sort(SortedEntries,
             [](const MachineBasicBlock *A, const MachineBasicBlock *B) {
               auto ANum = A->getNumber();
               auto BNum = B->getNumber();
               return ANum < BNum;
             });
  return SortedEntries;
}

// Calculates reachability in a region. Ignores branches to blocks outside of
// the region, and ignores branches to the region entry (for the case where
// the region is the inner part of a loop).
class ReachabilityGraph {
public:
  ReachabilityGraph(MachineBasicBlock *Entry, const BlockSet &Blocks)
      : Entry(Entry), Blocks(Blocks) {
#ifndef NDEBUG
    // The region must have a single entry.
    for (auto *MBB : Blocks) {
      if (MBB != Entry) {
        for (auto *Pred : MBB->predecessors()) {
          assert(inRegion(Pred));
        }
      }
    }
#endif
    calculate();
  }

  bool canReach(MachineBasicBlock *From, MachineBasicBlock *To) const {
    assert(inRegion(From) && inRegion(To));
    auto I = Reachable.find(From);
    if (I == Reachable.end())
      return false;
    return I->second.count(To);
  }

  // "Loopers" are blocks that are in a loop. We detect these by finding blocks
  // that can reach themselves.
  const BlockSet &getLoopers() const { return Loopers; }

  // Get all blocks that are loop entries.
  const BlockSet &getLoopEntries() const { return LoopEntries; }

  // Get all blocks that enter a particular loop from outside.
  const BlockSet &getLoopEnterers(MachineBasicBlock *LoopEntry) const {
    assert(inRegion(LoopEntry));
    auto I = LoopEnterers.find(LoopEntry);
    assert(I != LoopEnterers.end());
    return I->second;
  }

private:
  MachineBasicBlock *Entry;
  const BlockSet &Blocks;

  BlockSet Loopers, LoopEntries;
  DenseMap<MachineBasicBlock *, BlockSet> LoopEnterers;

  bool inRegion(MachineBasicBlock *MBB) const { return Blocks.count(MBB); }

  // Maps a block to all the other blocks it can reach.
  DenseMap<MachineBasicBlock *, BlockSet> Reachable;

  void calculate() {
    // Reachability computation work list. Contains pairs of recent additions
    // (A, B) where we just added a link A => B.
    using BlockPair = std::pair<MachineBasicBlock *, MachineBasicBlock *>;
    SmallVector<BlockPair, 4> WorkList;

    // Add all relevant direct branches.
    for (auto *MBB : Blocks) {
      for (auto *Succ : MBB->successors()) {
        if (Succ != Entry && inRegion(Succ)) {
          Reachable[MBB].insert(Succ);
          WorkList.emplace_back(MBB, Succ);
        }
      }
    }

    while (!WorkList.empty()) {
      MachineBasicBlock *MBB, *Succ;
      std::tie(MBB, Succ) = WorkList.pop_back_val();
      assert(inRegion(MBB) && Succ != Entry && inRegion(Succ));
      if (MBB != Entry) {
        // We recently added MBB => Succ, and that means we may have enabled
        // Pred => MBB => Succ.
        for (auto *Pred : MBB->predecessors()) {
          if (Reachable[Pred].insert(Succ).second) {
            WorkList.emplace_back(Pred, Succ);
          }
        }
      }
    }

    // Blocks that can return to themselves are in a loop.
    for (auto *MBB : Blocks) {
      if (canReach(MBB, MBB)) {
        Loopers.insert(MBB);
      }
    }
    assert(!Loopers.count(Entry));

    // Find the loop entries - loopers reachable from blocks not in that loop -
    // and those outside blocks that reach them, the "loop enterers".
    for (auto *Looper : Loopers) {
      for (auto *Pred : Looper->predecessors()) {
        // Pred can reach Looper. If Looper can reach Pred, it is in the loop;
        // otherwise, it is a block that enters into the loop.
        if (!canReach(Looper, Pred)) {
          LoopEntries.insert(Looper);
          LoopEnterers[Looper].insert(Pred);
        }
      }
    }
  }
};

// Finds the blocks in a single-entry loop, given the loop entry and the
// list of blocks that enter the loop.
class LoopBlocks {
public:
  LoopBlocks(MachineBasicBlock *Entry, const BlockSet &Enterers)
      : Entry(Entry), Enterers(Enterers) {
    calculate();
  }

  BlockSet &getBlocks() { return Blocks; }

private:
  MachineBasicBlock *Entry;
  const BlockSet &Enterers;

  BlockSet Blocks;

  void calculate() {
    // Going backwards from the loop entry, if we ignore the blocks entering
    // from outside, we will traverse all the blocks in the loop.
    BlockVector WorkList;
    BlockSet AddedToWorkList;
    Blocks.insert(Entry);
    for (auto *Pred : Entry->predecessors()) {
      if (!Enterers.count(Pred)) {
        WorkList.push_back(Pred);
        AddedToWorkList.insert(Pred);
      }
    }

    while (!WorkList.empty()) {
      auto *MBB = WorkList.pop_back_val();
      assert(!Enterers.count(MBB));
      if (Blocks.insert(MBB).second) {
        for (auto *Pred : MBB->predecessors()) {
          if (!AddedToWorkList.count(Pred)) {
            WorkList.push_back(Pred);
            AddedToWorkList.insert(Pred);
          }
        }
      }
    }
  }
};

class WebAssemblyFixIrreducibleControlFlow final : public MachineFunctionPass {
  StringRef getPassName() const override {
    return "WebAssembly Fix Irreducible Control Flow";
  }

  bool runOnMachineFunction(MachineFunction &MF) override;

  bool processRegion(MachineBasicBlock *Entry, BlockSet &Blocks,
                     MachineFunction &MF);

  void makeSingleEntryLoop(BlockSet &Entries, BlockSet &Blocks,
                           MachineFunction &MF, const ReachabilityGraph &Graph);

public:
  static char ID; // Pass identification, replacement for typeid
  WebAssemblyFixIrreducibleControlFlow() : MachineFunctionPass(ID) {}
};

bool WebAssemblyFixIrreducibleControlFlow::processRegion(
    MachineBasicBlock *Entry, BlockSet &Blocks, MachineFunction &MF) {
  bool Changed = false;
  // Remove irreducibility before processing child loops, which may take
  // multiple iterations.
  while (true) {
    ReachabilityGraph Graph(Entry, Blocks);

    bool FoundIrreducibility = false;

    for (auto *LoopEntry : getSortedEntries(Graph.getLoopEntries())) {
      // Find mutual entries - all entries which can reach this one, and
      // are reached by it (that always includes LoopEntry itself). All mutual
      // entries must be in the same loop, so if we have more than one, then we
      // have irreducible control flow.
      //
      // (Note that we need to sort the entries here, as otherwise the order can
      // matter: being mutual is a symmetric relationship, and each set of
      // mutuals will be handled properly no matter which we see first. However,
      // there can be multiple disjoint sets of mutuals, and which we process
      // first changes the output.)
      //
      // Note that irreducibility may involve inner loops, e.g. imagine A
      // starts one loop, and it has B inside it which starts an inner loop.
      // If we add a branch from all the way on the outside to B, then in a
      // sense B is no longer an "inner" loop, semantically speaking. We will
      // fix that irreducibility by adding a block that dispatches to either
      // either A or B, so B will no longer be an inner loop in our output.
      // (A fancier approach might try to keep it as such.)
      //
      // Note that we still need to recurse into inner loops later, to handle
      // the case where the irreducibility is entirely nested - we would not
      // be able to identify that at this point, since the enclosing loop is
      // a group of blocks all of whom can reach each other. (We'll see the
      // irreducibility after removing branches to the top of that enclosing
      // loop.)
      BlockSet MutualLoopEntries;
      MutualLoopEntries.insert(LoopEntry);
      for (auto *OtherLoopEntry : Graph.getLoopEntries()) {
        if (OtherLoopEntry != LoopEntry &&
            Graph.canReach(LoopEntry, OtherLoopEntry) &&
            Graph.canReach(OtherLoopEntry, LoopEntry)) {
          MutualLoopEntries.insert(OtherLoopEntry);
        }
      }

      if (MutualLoopEntries.size() > 1) {
        makeSingleEntryLoop(MutualLoopEntries, Blocks, MF, Graph);
        FoundIrreducibility = true;
        Changed = true;
        break;
      }
    }
    // Only go on to actually process the inner loops when we are done
    // removing irreducible control flow and changing the graph. Modifying
    // the graph as we go is possible, and that might let us avoid looking at
    // the already-fixed loops again if we are careful, but all that is
    // complex and bug-prone. Since irreducible loops are rare, just starting
    // another iteration is best.
    if (FoundIrreducibility) {
      continue;
    }

    for (auto *LoopEntry : Graph.getLoopEntries()) {
      LoopBlocks InnerBlocks(LoopEntry, Graph.getLoopEnterers(LoopEntry));
      // Each of these calls to processRegion may change the graph, but are
      // guaranteed not to interfere with each other. The only changes we make
      // to the graph are to add blocks on the way to a loop entry. As the
      // loops are disjoint, that means we may only alter branches that exit
      // another loop, which are ignored when recursing into that other loop
      // anyhow.
      if (processRegion(LoopEntry, InnerBlocks.getBlocks(), MF)) {
        Changed = true;
      }
    }

    return Changed;
  }
}

// Given a set of entries to a single loop, create a single entry for that
// loop by creating a dispatch block for them, routing control flow using
// a helper variable. Also updates Blocks with any new blocks created, so
// that we properly track all the blocks in the region. But this does not update
// ReachabilityGraph; this will be updated in the caller of this function as
// needed.
void WebAssemblyFixIrreducibleControlFlow::makeSingleEntryLoop(
    BlockSet &Entries, BlockSet &Blocks, MachineFunction &MF,
    const ReachabilityGraph &Graph) {
  assert(Entries.size() >= 2);

  // Sort the entries to ensure a deterministic build.
  BlockVector SortedEntries = getSortedEntries(Entries);

#ifndef NDEBUG
  for (auto Block : SortedEntries)
    assert(Block->getNumber() != -1);
  if (SortedEntries.size() > 1) {
    for (auto I = SortedEntries.begin(), E = SortedEntries.end() - 1; I != E;
         ++I) {
      auto ANum = (*I)->getNumber();
      auto BNum = (*(std::next(I)))->getNumber();
      assert(ANum != BNum);
    }
  }
#endif

  // Create a dispatch block which will contain a jump table to the entries.
  MachineBasicBlock *Dispatch = MF.CreateMachineBasicBlock();
  MF.insert(MF.end(), Dispatch);
  Blocks.insert(Dispatch);

  // Add the jump table.
  const auto &TII = *MF.getSubtarget<WebAssemblySubtarget>().getInstrInfo();
  MachineInstrBuilder MIB =
      BuildMI(Dispatch, DebugLoc(), TII.get(WebAssembly::BR_TABLE_I32));

  // Add the register which will be used to tell the jump table which block to
  // jump to.
  MachineRegisterInfo &MRI = MF.getRegInfo();
  Register Reg = MRI.createVirtualRegister(&WebAssembly::I32RegClass);
  MIB.addReg(Reg);

  // Compute the indices in the superheader, one for each bad block, and
  // add them as successors.
  DenseMap<MachineBasicBlock *, unsigned> Indices;
  for (auto *Entry : SortedEntries) {
    auto Pair = Indices.insert(std::make_pair(Entry, 0));
    assert(Pair.second);

    unsigned Index = MIB.getInstr()->getNumExplicitOperands() - 1;
    Pair.first->second = Index;

    MIB.addMBB(Entry);
    Dispatch->addSuccessor(Entry);
  }

  // Rewrite the problematic successors for every block that wants to reach
  // the bad blocks. For simplicity, we just introduce a new block for every
  // edge we need to rewrite. (Fancier things are possible.)

  BlockVector AllPreds;
  for (auto *Entry : SortedEntries) {
    for (auto *Pred : Entry->predecessors()) {
      if (Pred != Dispatch) {
        AllPreds.push_back(Pred);
      }
    }
  }

  // This set stores predecessors within this loop.
  DenseSet<MachineBasicBlock *> InLoop;
  for (auto *Pred : AllPreds) {
    for (auto *Entry : Pred->successors()) {
      if (!Entries.count(Entry))
        continue;
      if (Graph.canReach(Entry, Pred)) {
        InLoop.insert(Pred);
        break;
      }
    }
  }

  // Record if each entry has a layout predecessor. This map stores
  // <<loop entry, Predecessor is within the loop?>, layout predecessor>
  DenseMap<PointerIntPair<MachineBasicBlock *, 1, bool>, MachineBasicBlock *>
      EntryToLayoutPred;
  for (auto *Pred : AllPreds) {
    bool PredInLoop = InLoop.count(Pred);
    for (auto *Entry : Pred->successors())
      if (Entries.count(Entry) && Pred->isLayoutSuccessor(Entry))
        EntryToLayoutPred[{Entry, PredInLoop}] = Pred;
  }

  // We need to create at most two routing blocks per entry: one for
  // predecessors outside the loop and one for predecessors inside the loop.
  // This map stores
  // <<loop entry, Predecessor is within the loop?>, routing block>
  DenseMap<PointerIntPair<MachineBasicBlock *, 1, bool>, MachineBasicBlock *>
      Map;
  for (auto *Pred : AllPreds) {
    bool PredInLoop = InLoop.count(Pred);
    for (auto *Entry : Pred->successors()) {
      if (!Entries.count(Entry) || Map.count({Entry, PredInLoop}))
        continue;
      // If there exists a layout predecessor of this entry and this predecessor
      // is not that, we rather create a routing block after that layout
      // predecessor to save a branch.
      if (auto *OtherPred = EntryToLayoutPred.lookup({Entry, PredInLoop}))
        if (OtherPred != Pred)
          continue;

      // This is a successor we need to rewrite.
      MachineBasicBlock *Routing = MF.CreateMachineBasicBlock();
      MF.insert(Pred->isLayoutSuccessor(Entry)
                    ? MachineFunction::iterator(Entry)
                    : MF.end(),
                Routing);
      Blocks.insert(Routing);

      // Set the jump table's register of the index of the block we wish to
      // jump to, and jump to the jump table.
      BuildMI(Routing, DebugLoc(), TII.get(WebAssembly::CONST_I32), Reg)
          .addImm(Indices[Entry]);
      BuildMI(Routing, DebugLoc(), TII.get(WebAssembly::BR)).addMBB(Dispatch);
      Routing->addSuccessor(Dispatch);
      Map[{Entry, PredInLoop}] = Routing;
    }
  }

  for (auto *Pred : AllPreds) {
    bool PredInLoop = InLoop.count(Pred);
    // Remap the terminator operands and the successor list.
    for (MachineInstr &Term : Pred->terminators())
      for (auto &Op : Term.explicit_uses())
        if (Op.isMBB() && Indices.count(Op.getMBB()))
          Op.setMBB(Map[{Op.getMBB(), PredInLoop}]);

    for (auto *Succ : Pred->successors()) {
      if (!Entries.count(Succ))
        continue;
      auto *Routing = Map[{Succ, PredInLoop}];
      Pred->replaceSuccessor(Succ, Routing);
    }
  }

  // Create a fake default label, because br_table requires one.
  MIB.addMBB(MIB.getInstr()
                 ->getOperand(MIB.getInstr()->getNumExplicitOperands() - 1)
                 .getMBB());
}

} // end anonymous namespace

char WebAssemblyFixIrreducibleControlFlow::ID = 0;
INITIALIZE_PASS(WebAssemblyFixIrreducibleControlFlow, DEBUG_TYPE,
                "Removes irreducible control flow", false, false)

FunctionPass *llvm::createWebAssemblyFixIrreducibleControlFlow() {
  return new WebAssemblyFixIrreducibleControlFlow();
}

bool WebAssemblyFixIrreducibleControlFlow::runOnMachineFunction(
    MachineFunction &MF) {
  LLVM_DEBUG(dbgs() << "********** Fixing Irreducible Control Flow **********\n"
                       "********** Function: "
                    << MF.getName() << '\n');

  // Start the recursive process on the entire function body.
  BlockSet AllBlocks;
  for (auto &MBB : MF) {
    AllBlocks.insert(&MBB);
  }

  if (LLVM_UNLIKELY(processRegion(&*MF.begin(), AllBlocks, MF))) {
    // We rewrote part of the function; recompute relevant things.
    MF.getRegInfo().invalidateLiveness();
    MF.RenumberBlocks();
    return true;
  }

  return false;
}