lib/Rewrite/RewriteRope.cpp

//===--- RewriteRope.cpp - Rope specialized for rewriter --------*- C++ -*-===//
//
//                     The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
//
//  This file implements the RewriteRope class, which is a powerful string.
//
//===----------------------------------------------------------------------===//

#include "clang/Rewrite/RewriteRope.h"
#include "llvm/Support/Casting.h"
using namespace clang;
using llvm::dyn_cast;
using llvm::cast;


//===----------------------------------------------------------------------===//
// InsertResult Class
//===----------------------------------------------------------------------===//

/// This is an adapted B+ Tree, ... erases don't keep the tree balanced.

namespace {
  class RopePieceBTreeNode;
  struct InsertResult {
    RopePieceBTreeNode *LHS, *RHS;
  };
} // end anonymous namespace

//===----------------------------------------------------------------------===//
// RopePieceBTreeNode Class
//===----------------------------------------------------------------------===//

namespace {
  class RopePieceBTreeNode {
  protected:
    /// WidthFactor - This controls the number of K/V slots held in the BTree:
    /// how wide it is.  Each level of the BTree is guaranteed to have at least
    /// 'WidthFactor' elements in it (either ropepieces or children), (except
    /// the root, which may have less) and may have at most 2*WidthFactor
    /// elements.
    enum { WidthFactor = 8 };
    
    /// Size - This is the number of bytes of file this node (including any
    /// potential children) covers.
    unsigned Size;
    
    /// IsLeaf - True if this is an instance of RopePieceBTreeLeaf, false if it
    /// is an instance of RopePieceBTreeInterior.
    bool IsLeaf;
    
    RopePieceBTreeNode(bool isLeaf) : Size(0), IsLeaf(isLeaf) {}
    ~RopePieceBTreeNode() {}
  public:
    
    bool isLeaf() const { return IsLeaf; }
    unsigned size() const { return Size; }
    
    void Destroy();
    
    /// split - Split the range containing the specified offset so that we are
    /// guaranteed that there is a place to do an insertion at the specified
    /// offset.  The offset is relative, so "0" is the start of the node.  This
    /// returns true if the insertion could not be done in place, and returns
    /// information in 'Res' about the piece that is percolated up.
    bool split(unsigned Offset, InsertResult *Res);
    
    /// insert - Insert the specified ropepiece into this tree node at the
    /// specified offset.  The offset is relative, so "0" is the start of the
    /// node.  This returns true if the insertion could not be done in place,
    /// and returns information in 'Res' about the piece that is percolated up.
    bool insert(unsigned Offset, const RopePiece &R, InsertResult *Res);
    
    /// erase - Remove NumBytes from this node at the specified offset.  We are
    /// guaranteed that there is a split at Offset.
    void erase(unsigned Offset, unsigned NumBytes);
    
    static inline bool classof(const RopePieceBTreeNode *) { return true; }
    
  };
} // end anonymous namespace

//===----------------------------------------------------------------------===//
// RopePieceBTreeLeaf Class
//===----------------------------------------------------------------------===//

namespace {
  class RopePieceBTreeLeaf : public RopePieceBTreeNode {
    /// NumPieces - This holds the number of rope pieces currently active in the
    /// Pieces array.
    unsigned char NumPieces;
    
    /// Pieces - This tracks the file chunks currently in this leaf.
    ///
    RopePiece Pieces[2*WidthFactor];
    
    /// NextLeaf - This is a pointer to the next leaf in the tree, allowing
    /// efficient in-order forward iteration of the tree without traversal.
    const RopePieceBTreeLeaf *NextLeaf;
  public:
    RopePieceBTreeLeaf() : RopePieceBTreeNode(true), NumPieces(0), NextLeaf(0){}
    
    bool isFull() const { return NumPieces == 2*WidthFactor; }
    
    /// clear - Remove all rope pieces from this leaf.
    void clear() {
      while (NumPieces)
        Pieces[--NumPieces] = RopePiece();
      Size = 0;
    }
    
    unsigned getNumPieces() const { return NumPieces; }
    
    const RopePiece &getPiece(unsigned i) const {
      assert(i < getNumPieces() && "Invalid piece ID");
      return Pieces[i];
    }
    
    const RopePieceBTreeLeaf *getNextLeafInOrder() const { return NextLeaf; }
    void setNextLeafInOrder(const RopePieceBTreeLeaf *NL) { NextLeaf = NL; }
    
    void FullRecomputeSizeLocally() {
      Size = 0;
      for (unsigned i = 0, e = getNumPieces(); i != e; ++i)
        Size += getPiece(i).size();
    }
    
    /// split - Split the range containing the specified offset so that we are
    /// guaranteed that there is a place to do an insertion at the specified
    /// offset.  The offset is relative, so "0" is the start of the node.  This
    /// returns true if the insertion could not be done in place, and returns
    /// information in 'Res' about the piece that is percolated up.
    bool split(unsigned Offset, InsertResult *Res);
    
    /// insert - Insert the specified ropepiece into this tree node at the
    /// specified offset.  The offset is relative, so "0" is the start of the
    /// node.  This returns true if the insertion could not be done in place,
    /// and returns information in 'Res' about the piece that is percolated up.
    bool insert(unsigned Offset, const RopePiece &R, InsertResult *Res);
    
    
    /// erase - Remove NumBytes from this node at the specified offset.  We are
    /// guaranteed that there is a split at Offset.
    void erase(unsigned Offset, unsigned NumBytes);
    
    static inline bool classof(const RopePieceBTreeLeaf *) { return true; }
    static inline bool classof(const RopePieceBTreeNode *N) {
      return N->isLeaf();
    }
  };
} // end anonymous namespace

/// split - Split the range containing the specified offset so that we are
/// guaranteed that there is a place to do an insertion at the specified
/// offset.  The offset is relative, so "0" is the start of the node.  This
/// returns true if the insertion could not be done in place, and returns
/// information in 'Res' about the piece that is percolated up.
bool RopePieceBTreeLeaf::split(unsigned Offset, InsertResult *Res) {
  // Find the insertion point.  We are guaranteed that there is a split at the
  // specified offset so find it.
  if (Offset == 0 || Offset == size()) {
    // Fastpath for a common case.  There is already a splitpoint at the end.
    return false;
  }
  
  // Find the piece that this offset lands in.
  unsigned PieceOffs = 0;
  unsigned i = 0;
  while (Offset >= PieceOffs+Pieces[i].size()) {
    PieceOffs += Pieces[i].size();
    ++i;
  }
  
  // If there is already a split point at the specified offset, just return
  // success.
  if (PieceOffs == Offset)
    return false;
  
  // Otherwise, we need to split piece 'i' at Offset-PieceOffs.  Convert Offset
  // to being Piece relative.
  unsigned IntraPieceOffset = Offset-PieceOffs;
  
  // We do this by shrinking the RopePiece and then doing an insert of the tail.
  RopePiece Tail(Pieces[i].StrData, Pieces[i].StartOffs+IntraPieceOffset,
                 Pieces[i].EndOffs);
  Size -= Pieces[i].size();
  Pieces[i].EndOffs = Pieces[i].StartOffs+IntraPieceOffset;
  Size += Pieces[i].size();
  
  return insert(Offset, Tail, Res);
}


/// insert - Insert the specified RopePiece into this tree node at the
/// specified offset.  The offset is relative, so "0" is the start of the
/// node.  This returns true if the insertion could not be done in place, and
/// returns information in 'Res' about the piece that is percolated up.
bool RopePieceBTreeLeaf::insert(unsigned Offset, const RopePiece &R,
                                InsertResult *Res) {
  // If this node is not full, insert the piece.
  if (!isFull()) {
    // Find the insertion point.  We are guaranteed that there is a split at the
    // specified offset so find it.
    unsigned i = 0, e = getNumPieces();
    if (Offset == size()) {
      // Fastpath for a common case.
      i = e;
    } else {
      unsigned SlotOffs = 0;
      for (; Offset > SlotOffs; ++i)
        SlotOffs += getPiece(i).size();
      assert(SlotOffs == Offset && "Split didn't occur before insertion!");
    }
    
    // For an insertion into a non-full leaf node, just insert the value in
    // its sorted position.  This requires moving later values over.
    for (; i != e; --e)
      Pieces[e] = Pieces[e-1];
    Pieces[i] = R;
    ++NumPieces;
    Size += R.size();
    return false;
  }
  
  // Otherwise, if this is leaf is full, split it in two halves.  Since this
  // node is full, it contains 2*WidthFactor values.  We move the first
  // 'WidthFactor' values to the LHS child (which we leave in this node) and
  // move the last 'WidthFactor' values into the RHS child.
  
  // Create the new node.
  RopePieceBTreeLeaf *NewNode = new RopePieceBTreeLeaf();
  
  // Move over the last 'WidthFactor' values from here to NewNode.
  std::copy(&Pieces[WidthFactor], &Pieces[2*WidthFactor],
            &NewNode->Pieces[0]);
  // Replace old pieces with null RopePieces to drop refcounts.
  std::fill(&Pieces[WidthFactor], &Pieces[2*WidthFactor], RopePiece());
  
  // Decrease the number of values in the two nodes.
  NewNode->NumPieces = NumPieces = WidthFactor;
  
  // Recompute the two nodes' size.
  NewNode->FullRecomputeSizeLocally();
  FullRecomputeSizeLocally();
  
  // Update the list of leaves.
  NewNode->setNextLeafInOrder(this->getNextLeafInOrder());
  this->setNextLeafInOrder(NewNode);
  
  assert(Res && "No result location specified");
  Res->LHS = this;
  Res->RHS = NewNode;
  
  if (this->size() >= Offset)
    this->insert(Offset, R, 0 /*can't fail*/);
  else
    NewNode->insert(Offset - this->size(), R, 0 /*can't fail*/);
  return true;
}

/// erase - Remove NumBytes from this node at the specified offset.  We are
/// guaranteed that there is a split at Offset.
void RopePieceBTreeLeaf::erase(unsigned Offset, unsigned NumBytes) {
  // Since we are guaranteed that there is a split at Offset, we start by
  // finding the Piece that starts there.
  unsigned PieceOffs = 0;
  unsigned i = 0;
  for (; Offset > PieceOffs; ++i)
    PieceOffs += getPiece(i).size();
  assert(PieceOffs == Offset && "Split didn't occur before erase!");
  
  unsigned StartPiece = i;
  
  // Figure out how many pieces completely cover 'NumBytes'.  We want to remove
  // all of them.
  for (; Offset+NumBytes > PieceOffs+getPiece(i).size(); ++i)
    PieceOffs += getPiece(i).size();
  
  // If we exactly include the last one, include it in the region to delete.
  if (Offset+NumBytes == PieceOffs+getPiece(i).size())
    PieceOffs += getPiece(i).size(), ++i;
  
  // If we completely cover some RopePieces, erase them now.
  if (i != StartPiece) {
    unsigned NumDeleted = i-StartPiece;
    for (; i != getNumPieces(); ++i)
      Pieces[i-NumDeleted] = Pieces[i];
    
    // Drop references to dead rope pieces.
    std::fill(&Pieces[getNumPieces()-NumDeleted], &Pieces[getNumPieces()],
              RopePiece());
    NumPieces -= NumDeleted;
    
    unsigned CoverBytes = PieceOffs-Offset;
    NumBytes -= CoverBytes;
    Size -= CoverBytes;
  }
  
  // If we completely removed some stuff, we could be done.
  if (NumBytes == 0) return;
  
  // Okay, now might be erasing part of some Piece.  If this is the case, then
  // move the start point of the piece.
  assert(getPiece(StartPiece).size() > NumBytes);
  Pieces[StartPiece].StartOffs += NumBytes;
  
  // The size of this node just shrunk by NumBytes.
  Size -= NumBytes;
}

//===----------------------------------------------------------------------===//
// RopePieceBTreeInterior Class
//===----------------------------------------------------------------------===//

namespace {
  // Holds up to 2*WidthFactor children.
  class RopePieceBTreeInterior : public RopePieceBTreeNode {
    /// NumChildren - This holds the number of children currently active in the
    /// Children array.
    unsigned char NumChildren;
    RopePieceBTreeNode *Children[2*WidthFactor];
  public:
    RopePieceBTreeInterior() : RopePieceBTreeNode(false), NumChildren(0) {}
    
    RopePieceBTreeInterior(RopePieceBTreeNode *LHS, RopePieceBTreeNode *RHS)
    : RopePieceBTreeNode(false) {
      Children[0] = LHS;
      Children[1] = RHS;
      NumChildren = 2;
      Size = LHS->size() + RHS->size();
    }
    
    bool isFull() const { return NumChildren == 2*WidthFactor; }
    
    unsigned getNumChildren() const { return NumChildren; }
    const RopePieceBTreeNode *getChild(unsigned i) const {
      assert(i < NumChildren && "invalid child #");
      return Children[i];
    }
    RopePieceBTreeNode *getChild(unsigned i) {
      assert(i < NumChildren && "invalid child #");
      return Children[i];
    }
    
    void FullRecomputeSizeLocally() {
      Size = 0;
      for (unsigned i = 0, e = getNumChildren(); i != e; ++i)
        Size += getChild(i)->size();
    }
    
    
    /// split - Split the range containing the specified offset so that we are
    /// guaranteed that there is a place to do an insertion at the specified
    /// offset.  The offset is relative, so "0" is the start of the node.  This
    /// returns true if the insertion could not be done in place, and returns
    /// information in 'Res' about the piece that is percolated up.
    bool split(unsigned Offset, InsertResult *Res);
    
    
    /// insert - Insert the specified ropepiece into this tree node at the
    /// specified offset.  The offset is relative, so "0" is the start of the
    /// node.  This returns true if the insertion could not be done in place,
    /// and returns information in 'Res' about the piece that is percolated up.
    bool insert(unsigned Offset, const RopePiece &R, InsertResult *Res);
    
    /// HandleChildPiece - A child propagated an insertion result up to us.
    /// Insert the new child, and/or propagate the result further up the tree.
    bool HandleChildPiece(unsigned i, InsertResult &Res);
    
    /// erase - Remove NumBytes from this node at the specified offset.  We are
    /// guaranteed that there is a split at Offset.
    void erase(unsigned Offset, unsigned NumBytes);
    
    static inline bool classof(const RopePieceBTreeInterior *) { return true; }
    static inline bool classof(const RopePieceBTreeNode *N) {
      return !N->isLeaf(); 
    }
  };
} // end anonymous namespace

/// split - Split the range containing the specified offset so that we are
/// guaranteed that there is a place to do an insertion at the specified
/// offset.  The offset is relative, so "0" is the start of the node.  This
/// returns true if the insertion could not be done in place, and returns
/// information in 'Res' about the piece that is percolated up.
bool RopePieceBTreeInterior::split(unsigned Offset, InsertResult *Res) {
  // Figure out which child to split.
  if (Offset == 0 || Offset == size())
    return false;  // If we have an exact offset, we're already split.
  
  unsigned ChildOffset = 0;
  unsigned i = 0;
  for (; Offset >= ChildOffset+getChild(i)->size(); ++i)
    ChildOffset += getChild(i)->size();
  
  // If already split there, we're done.
  if (ChildOffset == Offset)
    return false;
  
  // Otherwise, recursively split the child.
  if (getChild(i)->split(Offset-ChildOffset, Res)) 
    return HandleChildPiece(i, *Res);
  return false;  // Done!
}

/// insert - Insert the specified ropepiece into this tree node at the
/// specified offset.  The offset is relative, so "0" is the start of the
/// node.  This returns true if the insertion could not be done in place, and
/// returns information in 'Res' about the piece that is percolated up.
bool RopePieceBTreeInterior::insert(unsigned Offset, const RopePiece &R,
                                    InsertResult *Res) {
  // Find the insertion point.  We are guaranteed that there is a split at the
  // specified offset so find it.
  unsigned i = 0, e = getNumChildren();
  
  unsigned ChildOffs = 0;
  if (Offset == size()) {
    // Fastpath for a common case.  Insert at end of last child.
    i = e-1;
    ChildOffs = size()-getChild(i)->size();
  } else {
    for (; Offset > ChildOffs+getChild(i)->size(); ++i)
      ChildOffs += getChild(i)->size();
  }
  
  Size += R.size();
  
  // Insert at the end of this child.
  if (getChild(i)->insert(Offset-ChildOffs, R, Res))
    return HandleChildPiece(i, *Res);
  
  return false;
}

/// HandleChildPiece - A child propagated an insertion result up to us.
/// Insert the new child, and/or propagate the result further up the tree.
bool RopePieceBTreeInterior::HandleChildPiece(unsigned i, InsertResult &Res) {
  // Otherwise the child propagated a subtree up to us as a new child.  See if
  // we have space for it here.
  if (!isFull()) {
    // Replace child 'i' with the two children specified in Res.
    if (i + 1 != getNumChildren())
      memmove(&Children[i+2], &Children[i+1],
              (getNumChildren()-i-1)*sizeof(Children[0]));
    Children[i] = Res.LHS;
    Children[i+1] = Res.RHS;
    ++NumChildren;
    return false;
  }
  
  // Okay, this node is full.  Split it in half, moving WidthFactor children to
  // a newly allocated interior node.
  
  // Create the new node.
  RopePieceBTreeInterior *NewNode = new RopePieceBTreeInterior();
  
  // Move over the last 'WidthFactor' values from here to NewNode.
  memcpy(&NewNode->Children[0], &Children[WidthFactor],
         WidthFactor*sizeof(Children[0]));
  
  // Decrease the number of values in the two nodes.
  NewNode->NumChildren = NumChildren = WidthFactor;
  
  // Finally, insert the two new children in the side the can (now) hold them.
  if (i < WidthFactor)
    this->HandleChildPiece(i, Res);
  else
    NewNode->HandleChildPiece(i-WidthFactor, Res);
  
  // Recompute the two nodes' size.
  NewNode->FullRecomputeSizeLocally();
  FullRecomputeSizeLocally();
  
  Res.LHS = this;
  Res.RHS = NewNode;
  return true;
}

/// erase - Remove NumBytes from this node at the specified offset.  We are
/// guaranteed that there is a split at Offset.
void RopePieceBTreeInterior::erase(unsigned Offset, unsigned NumBytes) {
  // This will shrink this node by NumBytes.
  Size -= NumBytes;
  
  // Find the first child that overlaps with Offset.
  unsigned i = 0;
  for (; Offset >= getChild(i)->size(); ++i)
    Offset -= getChild(i)->size();
  
  // Propagate the delete request into overlapping children, or completely
  // delete the children as appropriate.
  while (NumBytes) {
    RopePieceBTreeNode *CurChild = getChild(i);
    
    // If we are deleting something contained entirely in the child, pass on the
    // request.
    if (Offset+NumBytes < CurChild->size()) {
      CurChild->erase(Offset, NumBytes);
      return;
    }
    
    // If this deletion request starts somewhere in the middle of the child, it
    // must be deleting to the end of the child.
    if (Offset) {
      unsigned BytesFromChild = CurChild->size()-Offset;
      CurChild->erase(Offset, BytesFromChild);
      NumBytes -= BytesFromChild;
      ++i;
      continue;
    }
    
    // If the deletion request completely covers the child, delete it and move
    // the rest down.
    NumBytes -= CurChild->size();
    CurChild->Destroy();
    --NumChildren;
    if (i+1 != getNumChildren())
      memmove(&Children[i], &Children[i+1],
              (getNumChildren()-i)*sizeof(Children[0]));
  }
}

//===----------------------------------------------------------------------===//
// RopePieceBTreeNode Implementation
//===----------------------------------------------------------------------===//

void RopePieceBTreeNode::Destroy() {
  if (RopePieceBTreeLeaf *Leaf = dyn_cast<RopePieceBTreeLeaf>(this))
    delete Leaf;
  else
    delete cast<RopePieceBTreeInterior>(this);
}

/// split - Split the range containing the specified offset so that we are
/// guaranteed that there is a place to do an insertion at the specified
/// offset.  The offset is relative, so "0" is the start of the node.  This
/// returns true if the insertion could not be done in place, and returns
/// information in 'Res' about the piece that is percolated up.
bool RopePieceBTreeNode::split(unsigned Offset, InsertResult *Res) {
  assert(Offset <= size() && "Invalid offset to split!");
  if (RopePieceBTreeLeaf *Leaf = dyn_cast<RopePieceBTreeLeaf>(this))
    return Leaf->split(Offset, Res);
  return cast<RopePieceBTreeInterior>(this)->split(Offset, Res);
}

/// insert - Insert the specified ropepiece into this tree node at the
/// specified offset.  The offset is relative, so "0" is the start of the
/// node.
bool RopePieceBTreeNode::insert(unsigned Offset, const RopePiece &R,
                                InsertResult *Res) {
  assert(Offset <= size() && "Invalid offset to insert!");
  if (RopePieceBTreeLeaf *Leaf = dyn_cast<RopePieceBTreeLeaf>(this))
    return Leaf->insert(Offset, R, Res);
  return cast<RopePieceBTreeInterior>(this)->insert(Offset, R, Res);
}

/// erase - Remove NumBytes from this node at the specified offset.  We are
/// guaranteed that there is a split at Offset.
void RopePieceBTreeNode::erase(unsigned Offset, unsigned NumBytes) {
  assert(Offset+NumBytes <= size() && "Invalid offset to erase!");
  if (RopePieceBTreeLeaf *Leaf = dyn_cast<RopePieceBTreeLeaf>(this))
    return Leaf->erase(Offset, NumBytes);
  return cast<RopePieceBTreeInterior>(this)->erase(Offset, NumBytes);
}


//===----------------------------------------------------------------------===//
// RopePieceBTreeIterator Implementation
//===----------------------------------------------------------------------===//

static const RopePieceBTreeLeaf *getCN(const void *P) {
  return static_cast<const RopePieceBTreeLeaf*>(P);
}

// begin iterator.
RopePieceBTreeIterator::RopePieceBTreeIterator(const void *n) {
  const RopePieceBTreeNode *N = static_cast<const RopePieceBTreeNode*>(n);
  
  // Walk down the left side of the tree until we get to a leaf.
  while (const RopePieceBTreeInterior *IN = dyn_cast<RopePieceBTreeInterior>(N))
    N = IN->getChild(0);
  
  // We must have at least one leaf.
  CurNode = cast<RopePieceBTreeLeaf>(N);
  
  // If we found a leaf that happens to be empty, skip over it until we get
  // to something full.
  while (CurNode && getCN(CurNode)->getNumPieces() == 0)
    CurNode = getCN(CurNode)->getNextLeafInOrder();
  
  if (CurNode != 0)
    CurPiece = &getCN(CurNode)->getPiece(0);
  else  // Empty tree, this is an end() iterator.
    CurPiece = 0;
  CurChar = 0;
}

void RopePieceBTreeIterator::MoveToNextPiece() {
  if (CurPiece != &getCN(CurNode)->getPiece(getCN(CurNode)->getNumPieces()-1)) {
    CurChar = 0;
    ++CurPiece;
    return;
  }
  
  // Find the next non-empty leaf node.
  do
    CurNode = getCN(CurNode)->getNextLeafInOrder();
  while (CurNode && getCN(CurNode)->getNumPieces() == 0);
  
  if (CurNode != 0)
    CurPiece = &getCN(CurNode)->getPiece(0);
  else // Hit end().
    CurPiece = 0;
  CurChar = 0;
}

//===----------------------------------------------------------------------===//
// RopePieceBTree Implementation
//===----------------------------------------------------------------------===//

static RopePieceBTreeNode *getRoot(void *P) {
  return static_cast<RopePieceBTreeNode*>(P);
}

RopePieceBTree::RopePieceBTree() {
  Root = new RopePieceBTreeLeaf();
}
RopePieceBTree::RopePieceBTree(const RopePieceBTree &RHS) {
  assert(RHS.empty() && "Can't copy non-empty tree yet");
  Root = new RopePieceBTreeLeaf();
}
RopePieceBTree::~RopePieceBTree() {
  getRoot(Root)->Destroy();
}

unsigned RopePieceBTree::size() const {
  return getRoot(Root)->size();
}

void RopePieceBTree::clear() {
  if (RopePieceBTreeLeaf *Leaf = dyn_cast<RopePieceBTreeLeaf>(getRoot(Root)))
    Leaf->clear();
  else {
    getRoot(Root)->Destroy();
    Root = new RopePieceBTreeLeaf();
  }
}

void RopePieceBTree::insert(unsigned Offset, const RopePiece &R) {
  InsertResult Result;
  // #1. Split at Offset.
  if (getRoot(Root)->split(Offset, &Result))
    Root = new RopePieceBTreeInterior(Result.LHS, Result.RHS);
  
  // #2. Do the insertion.
  if (getRoot(Root)->insert(Offset, R, &Result))
    Root = new RopePieceBTreeInterior(Result.LHS, Result.RHS);
}

void RopePieceBTree::erase(unsigned Offset, unsigned NumBytes) {
  InsertResult Result;
  // #1. Split at Offset.
  if (getRoot(Root)->split(Offset, &Result))
    Root = new RopePieceBTreeInterior(Result.LHS, Result.RHS);
  
  // #2. Do the erasing.
  getRoot(Root)->erase(Offset, NumBytes);
}