xref: /art/compiler/optimizing/ssa_liveness_analysis.cc

/*
 * Copyright (C) 2014 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.
 */

#include "ssa_liveness_analysis.h"

#include "base/bit_vector-inl.h"
#include "code_generator.h"
#include "nodes.h"

namespace art {

void SsaLivenessAnalysis::Analyze() {
  LinearizeGraph();
  NumberInstructions();
  ComputeLiveness();
}

static bool IsLoop(HLoopInformation* info) {
  return info != nullptr;
}

static bool InSameLoop(HLoopInformation* first_loop, HLoopInformation* second_loop) {
  return first_loop == second_loop;
}

static bool IsInnerLoop(HLoopInformation* outer, HLoopInformation* inner) {
  return (inner != outer)
      && (inner != nullptr)
      && (outer != nullptr)
      && inner->IsIn(*outer);
}

static void AddToListForLinearization(GrowableArray<HBasicBlock*>* worklist, HBasicBlock* block) {
  size_t insert_at = worklist->Size();
  HLoopInformation* block_loop = block->GetLoopInformation();
  for (; insert_at > 0; --insert_at) {
    HBasicBlock* current = worklist->Get(insert_at - 1);
    HLoopInformation* current_loop = current->GetLoopInformation();
    if (InSameLoop(block_loop, current_loop)
        || !IsLoop(current_loop)
        || IsInnerLoop(current_loop, block_loop)) {
      // The block can be processed immediately.
      break;
    }
  }
  worklist->InsertAt(insert_at, block);
}

void SsaLivenessAnalysis::LinearizeGraph() {
  // Create a reverse post ordering with the following properties:
  // - Blocks in a loop are consecutive,
  // - Back-edge is the last block before loop exits.

  // (1): Record the number of forward predecessors for each block. This is to
  //      ensure the resulting order is reverse post order. We could use the
  //      current reverse post order in the graph, but it would require making
  //      order queries to a GrowableArray, which is not the best data structure
  //      for it.
  GrowableArray<uint32_t> forward_predecessors(graph_->GetArena(), graph_->GetBlocks().Size());
  forward_predecessors.SetSize(graph_->GetBlocks().Size());
  for (HReversePostOrderIterator it(*graph_); !it.Done(); it.Advance()) {
    HBasicBlock* block = it.Current();
    size_t number_of_forward_predecessors = block->GetPredecessors().Size();
    if (block->IsLoopHeader()) {
      number_of_forward_predecessors -= block->GetLoopInformation()->NumberOfBackEdges();
    }
    forward_predecessors.Put(block->GetBlockId(), number_of_forward_predecessors);
  }

  // (2): Following a worklist approach, first start with the entry block, and
  //      iterate over the successors. When all non-back edge predecessors of a
  //      successor block are visited, the successor block is added in the worklist
  //      following an order that satisfies the requirements to build our linear graph.
  GrowableArray<HBasicBlock*> worklist(graph_->GetArena(), 1);
  worklist.Add(graph_->GetEntryBlock());
  do {
    HBasicBlock* current = worklist.Pop();
    graph_->linear_order_.Add(current);
    for (size_t i = 0, e = current->GetSuccessors().Size(); i < e; ++i) {
      HBasicBlock* successor = current->GetSuccessors().Get(i);
      int block_id = successor->GetBlockId();
      size_t number_of_remaining_predecessors = forward_predecessors.Get(block_id);
      if (number_of_remaining_predecessors == 1) {
        AddToListForLinearization(&worklist, successor);
      }
      forward_predecessors.Put(block_id, number_of_remaining_predecessors - 1);
    }
  } while (!worklist.IsEmpty());
}

void SsaLivenessAnalysis::NumberInstructions() {
  int ssa_index = 0;
  size_t lifetime_position = 0;
  // Each instruction gets a lifetime position, and a block gets a lifetime
  // start and end position. Non-phi instructions have a distinct lifetime position than
  // the block they are in. Phi instructions have the lifetime start of their block as
  // lifetime position.
  //
  // Because the register allocator will insert moves in the graph, we need
  // to differentiate between the start and end of an instruction. Adding 2 to
  // the lifetime position for each instruction ensures the start of an
  // instruction is different than the end of the previous instruction.
  for (HLinearOrderIterator it(*graph_); !it.Done(); it.Advance()) {
    HBasicBlock* block = it.Current();
    block->SetLifetimeStart(lifetime_position);

    for (HInstructionIterator inst_it(block->GetPhis()); !inst_it.Done(); inst_it.Advance()) {
      HInstruction* current = inst_it.Current();
      codegen_->AllocateLocations(current);
      LocationSummary* locations = current->GetLocations();
      if (locations != nullptr && locations->Out().IsValid()) {
        instructions_from_ssa_index_.Add(current);
        current->SetSsaIndex(ssa_index++);
        current->SetLiveInterval(
            LiveInterval::MakeInterval(graph_->GetArena(), current->GetType(), current));
      }
      current->SetLifetimePosition(lifetime_position);
    }
    lifetime_position += 2;

    // Add a null marker to notify we are starting a block.
    instructions_from_lifetime_position_.Add(nullptr);

    for (HInstructionIterator inst_it(block->GetInstructions()); !inst_it.Done();
         inst_it.Advance()) {
      HInstruction* current = inst_it.Current();
      codegen_->AllocateLocations(current);
      LocationSummary* locations = current->GetLocations();
      if (locations != nullptr && locations->Out().IsValid()) {
        instructions_from_ssa_index_.Add(current);
        current->SetSsaIndex(ssa_index++);
        current->SetLiveInterval(
            LiveInterval::MakeInterval(graph_->GetArena(), current->GetType(), current));
      }
      instructions_from_lifetime_position_.Add(current);
      current->SetLifetimePosition(lifetime_position);
      lifetime_position += 2;
    }

    block->SetLifetimeEnd(lifetime_position);
  }
  number_of_ssa_values_ = ssa_index;
}

void SsaLivenessAnalysis::ComputeLiveness() {
  for (HLinearOrderIterator it(*graph_); !it.Done(); it.Advance()) {
    HBasicBlock* block = it.Current();
    block_infos_.Put(
        block->GetBlockId(),
        new (graph_->GetArena()) BlockInfo(graph_->GetArena(), *block, number_of_ssa_values_));
  }

  // Compute the live ranges, as well as the initial live_in, live_out, and kill sets.
  // This method does not handle backward branches for the sets, therefore live_in
  // and live_out sets are not yet correct.
  ComputeLiveRanges();

  // Do a fixed point calculation to take into account backward branches,
  // that will update live_in of loop headers, and therefore live_out and live_in
  // of blocks in the loop.
  ComputeLiveInAndLiveOutSets();
}

void SsaLivenessAnalysis::ComputeLiveRanges() {
  // Do a post order visit, adding inputs of instructions live in the block where
  // that instruction is defined, and killing instructions that are being visited.
  for (HLinearPostOrderIterator it(*graph_); !it.Done(); it.Advance()) {
    HBasicBlock* block = it.Current();

    BitVector* kill = GetKillSet(*block);
    BitVector* live_in = GetLiveInSet(*block);

    // Set phi inputs of successors of this block corresponding to this block
    // as live_in.
    for (size_t i = 0, e = block->GetSuccessors().Size(); i < e; ++i) {
      HBasicBlock* successor = block->GetSuccessors().Get(i);
      live_in->Union(GetLiveInSet(*successor));
      size_t phi_input_index = successor->GetPredecessorIndexOf(block);
      for (HInstructionIterator inst_it(successor->GetPhis()); !inst_it.Done(); inst_it.Advance()) {
        HInstruction* phi = inst_it.Current();
        HInstruction* input = phi->InputAt(phi_input_index);
        input->GetLiveInterval()->AddPhiUse(phi, phi_input_index, block);
        // A phi input whose last user is the phi dies at the end of the predecessor block,
        // and not at the phi's lifetime position.
        live_in->SetBit(input->GetSsaIndex());
      }
    }

    // Add a range that covers this block to all instructions live_in because of successors.
    // Instructions defined in this block will have their start of the range adjusted.
    for (uint32_t idx : live_in->Indexes()) {
      HInstruction* current = instructions_from_ssa_index_.Get(idx);
      current->GetLiveInterval()->AddRange(block->GetLifetimeStart(), block->GetLifetimeEnd());
    }

    for (HBackwardInstructionIterator back_it(block->GetInstructions()); !back_it.Done();
         back_it.Advance()) {
      HInstruction* current = back_it.Current();
      if (current->HasSsaIndex()) {
        // Kill the instruction and shorten its interval.
        kill->SetBit(current->GetSsaIndex());
        live_in->ClearBit(current->GetSsaIndex());
        current->GetLiveInterval()->SetFrom(current->GetLifetimePosition());
      }

      // Process the environment first, because we know their uses come after
      // or at the same liveness position of inputs.
      for (HEnvironment* environment = current->GetEnvironment();
           environment != nullptr;
           environment = environment->GetParent()) {
        // Handle environment uses. See statements (b) and (c) of the
        // SsaLivenessAnalysis.
        for (size_t i = 0, e = environment->Size(); i < e; ++i) {
          HInstruction* instruction = environment->GetInstructionAt(i);
          bool should_be_live = ShouldBeLiveForEnvironment(current, instruction);
          if (should_be_live) {
            DCHECK(instruction->HasSsaIndex());
            live_in->SetBit(instruction->GetSsaIndex());
          }
          if (instruction != nullptr) {
            instruction->GetLiveInterval()->AddUse(
                current, environment, i, should_be_live);
          }
        }
      }

      // All inputs of an instruction must be live.
      for (size_t i = 0, e = current->InputCount(); i < e; ++i) {
        HInstruction* input = current->InputAt(i);
        // Some instructions 'inline' their inputs, that is they do not need
        // to be materialized.
        if (input->HasSsaIndex()) {
          live_in->SetBit(input->GetSsaIndex());
          input->GetLiveInterval()->AddUse(current, /* environment */ nullptr, i);
        }
      }
    }

    // Kill phis defined in this block.
    for (HInstructionIterator inst_it(block->GetPhis()); !inst_it.Done(); inst_it.Advance()) {
      HInstruction* current = inst_it.Current();
      if (current->HasSsaIndex()) {
        kill->SetBit(current->GetSsaIndex());
        live_in->ClearBit(current->GetSsaIndex());
        LiveInterval* interval = current->GetLiveInterval();
        DCHECK((interval->GetFirstRange() == nullptr)
               || (interval->GetStart() == current->GetLifetimePosition()));
        interval->SetFrom(current->GetLifetimePosition());
      }
    }

    if (block->IsLoopHeader()) {
      size_t last_position = block->GetLoopInformation()->GetLifetimeEnd();
      // For all live_in instructions at the loop header, we need to create a range
      // that covers the full loop.
      for (uint32_t idx : live_in->Indexes()) {
        HInstruction* current = instructions_from_ssa_index_.Get(idx);
        current->GetLiveInterval()->AddLoopRange(block->GetLifetimeStart(), last_position);
      }
    }
  }
}

void SsaLivenessAnalysis::ComputeLiveInAndLiveOutSets() {
  bool changed;
  do {
    changed = false;

    for (HPostOrderIterator it(*graph_); !it.Done(); it.Advance()) {
      const HBasicBlock& block = *it.Current();

      // The live_in set depends on the kill set (which does not
      // change in this loop), and the live_out set.  If the live_out
      // set does not change, there is no need to update the live_in set.
      if (UpdateLiveOut(block) && UpdateLiveIn(block)) {
        changed = true;
      }
    }
  } while (changed);
}

bool SsaLivenessAnalysis::UpdateLiveOut(const HBasicBlock& block) {
  BitVector* live_out = GetLiveOutSet(block);
  bool changed = false;
  // The live_out set of a block is the union of live_in sets of its successors.
  for (size_t i = 0, e = block.GetSuccessors().Size(); i < e; ++i) {
    HBasicBlock* successor = block.GetSuccessors().Get(i);
    if (live_out->Union(GetLiveInSet(*successor))) {
      changed = true;
    }
  }
  return changed;
}


bool SsaLivenessAnalysis::UpdateLiveIn(const HBasicBlock& block) {
  BitVector* live_out = GetLiveOutSet(block);
  BitVector* kill = GetKillSet(block);
  BitVector* live_in = GetLiveInSet(block);
  // If live_out is updated (because of backward branches), we need to make
  // sure instructions in live_out are also in live_in, unless they are killed
  // by this block.
  return live_in->UnionIfNotIn(live_out, kill);
}

static int RegisterOrLowRegister(Location location) {
  return location.IsPair() ? location.low() : location.reg();
}

int LiveInterval::FindFirstRegisterHint(size_t* free_until,
                                        const SsaLivenessAnalysis& liveness) const {
  DCHECK(!IsHighInterval());
  if (IsTemp()) return kNoRegister;

  if (GetParent() == this && defined_by_ != nullptr) {
    // This is the first interval for the instruction. Try to find
    // a register based on its definition.
    DCHECK_EQ(defined_by_->GetLiveInterval(), this);
    int hint = FindHintAtDefinition();
    if (hint != kNoRegister && free_until[hint] > GetStart()) {
      return hint;
    }
  }

  if (IsSplit() && liveness.IsAtBlockBoundary(GetStart() / 2)) {
    // If the start of this interval is at a block boundary, we look at the
    // location of the interval in blocks preceding the block this interval
    // starts at. If one location is a register we return it as a hint. This
    // will avoid a move between the two blocks.
    HBasicBlock* block = liveness.GetBlockFromPosition(GetStart() / 2);
    for (size_t i = 0; i < block->GetPredecessors().Size(); ++i) {
      size_t position = block->GetPredecessors().Get(i)->GetLifetimeEnd() - 1;
      // We know positions above GetStart() do not have a location yet.
      if (position < GetStart()) {
        LiveInterval* existing = GetParent()->GetSiblingAt(position);
        if (existing != nullptr
            && existing->HasRegister()
            && (free_until[existing->GetRegister()] > GetStart())) {
          return existing->GetRegister();
        }
      }
    }
  }

  UsePosition* use = first_use_;
  size_t start = GetStart();
  size_t end = GetEnd();
  while (use != nullptr && use->GetPosition() <= end) {
    size_t use_position = use->GetPosition();
    if (use_position >= start && !use->IsSynthesized()) {
      HInstruction* user = use->GetUser();
      size_t input_index = use->GetInputIndex();
      if (user->IsPhi()) {
        // If the phi has a register, try to use the same.
        Location phi_location = user->GetLiveInterval()->ToLocation();
        if (phi_location.IsRegisterKind()) {
          DCHECK(SameRegisterKind(phi_location));
          int reg = RegisterOrLowRegister(phi_location);
          if (free_until[reg] >= use_position) {
            return reg;
          }
        }
        const GrowableArray<HBasicBlock*>& predecessors = user->GetBlock()->GetPredecessors();
        // If the instruction dies at the phi assignment, we can try having the
        // same register.
        if (end == predecessors.Get(input_index)->GetLifetimeEnd()) {
          for (size_t i = 0, e = user->InputCount(); i < e; ++i) {
            if (i == input_index) {
              continue;
            }
            HInstruction* input = user->InputAt(i);
            Location location = input->GetLiveInterval()->GetLocationAt(
                predecessors.Get(i)->GetLifetimeEnd() - 1);
            if (location.IsRegisterKind()) {
              int reg = RegisterOrLowRegister(location);
              if (free_until[reg] >= use_position) {
                return reg;
              }
            }
          }
        }
      } else {
        // If the instruction is expected in a register, try to use it.
        LocationSummary* locations = user->GetLocations();
        Location expected = locations->InAt(use->GetInputIndex());
        // We use the user's lifetime position - 1 (and not `use_position`) because the
        // register is blocked at the beginning of the user.
        size_t position = user->GetLifetimePosition() - 1;
        if (expected.IsRegisterKind()) {
          DCHECK(SameRegisterKind(expected));
          int reg = RegisterOrLowRegister(expected);
          if (free_until[reg] >= position) {
            return reg;
          }
        }
      }
    }
    use = use->GetNext();
  }

  return kNoRegister;
}

int LiveInterval::FindHintAtDefinition() const {
  if (defined_by_->IsPhi()) {
    // Try to use the same register as one of the inputs.
    const GrowableArray<HBasicBlock*>& predecessors = defined_by_->GetBlock()->GetPredecessors();
    for (size_t i = 0, e = defined_by_->InputCount(); i < e; ++i) {
      HInstruction* input = defined_by_->InputAt(i);
      size_t end = predecessors.Get(i)->GetLifetimeEnd();
      LiveInterval* input_interval = input->GetLiveInterval()->GetSiblingAt(end - 1);
      if (input_interval->GetEnd() == end) {
        // If the input dies at the end of the predecessor, we know its register can
        // be reused.
        Location input_location = input_interval->ToLocation();
        if (input_location.IsRegisterKind()) {
          DCHECK(SameRegisterKind(input_location));
          return RegisterOrLowRegister(input_location);
        }
      }
    }
  } else {
    LocationSummary* locations = GetDefinedBy()->GetLocations();
    Location out = locations->Out();
    if (out.IsUnallocated() && out.GetPolicy() == Location::kSameAsFirstInput) {
      // Try to use the same register as the first input.
      LiveInterval* input_interval =
          GetDefinedBy()->InputAt(0)->GetLiveInterval()->GetSiblingAt(GetStart() - 1);
      if (input_interval->GetEnd() == GetStart()) {
        // If the input dies at the start of this instruction, we know its register can
        // be reused.
        Location location = input_interval->ToLocation();
        if (location.IsRegisterKind()) {
          DCHECK(SameRegisterKind(location));
          return RegisterOrLowRegister(location);
        }
      }
    }
  }
  return kNoRegister;
}

bool LiveInterval::SameRegisterKind(Location other) const {
  if (IsFloatingPoint()) {
    if (IsLowInterval() || IsHighInterval()) {
      return other.IsFpuRegisterPair();
    } else {
      return other.IsFpuRegister();
    }
  } else {
    if (IsLowInterval() || IsHighInterval()) {
      return other.IsRegisterPair();
    } else {
      return other.IsRegister();
    }
  }
}

bool LiveInterval::NeedsTwoSpillSlots() const {
  return type_ == Primitive::kPrimLong || type_ == Primitive::kPrimDouble;
}

Location LiveInterval::ToLocation() const {
  DCHECK(!IsHighInterval());
  if (HasRegister()) {
    if (IsFloatingPoint()) {
      if (HasHighInterval()) {
        return Location::FpuRegisterPairLocation(GetRegister(), GetHighInterval()->GetRegister());
      } else {
        return Location::FpuRegisterLocation(GetRegister());
      }
    } else {
      if (HasHighInterval()) {
        return Location::RegisterPairLocation(GetRegister(), GetHighInterval()->GetRegister());
      } else {
        return Location::RegisterLocation(GetRegister());
      }
    }
  } else {
    HInstruction* defined_by = GetParent()->GetDefinedBy();
    if (defined_by->IsConstant()) {
      return defined_by->GetLocations()->Out();
    } else if (GetParent()->HasSpillSlot()) {
      if (NeedsTwoSpillSlots()) {
        return Location::DoubleStackSlot(GetParent()->GetSpillSlot());
      } else {
        return Location::StackSlot(GetParent()->GetSpillSlot());
      }
    } else {
      return Location();
    }
  }
}

Location LiveInterval::GetLocationAt(size_t position) {
  LiveInterval* sibling = GetSiblingAt(position);
  DCHECK(sibling != nullptr);
  return sibling->ToLocation();
}

LiveInterval* LiveInterval::GetSiblingAt(size_t position) {
  LiveInterval* current = this;
  while (current != nullptr && !current->IsDefinedAt(position)) {
    current = current->GetNextSibling();
  }
  return current;
}

}  // namespace art