RewriteRope.cpp 29.6 KB
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806
//===- RewriteRope.cpp - Rope specialized for rewriter --------------------===//
//
// 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
//
//===----------------------------------------------------------------------===//
//
//  This file implements the RewriteRope class, which is a powerful string.
//
//===----------------------------------------------------------------------===//

#include "clang/Rewrite/Core/RewriteRope.h"
#include "clang/Basic/LLVM.h"
#include "llvm/Support/Casting.h"
#include <algorithm>
#include <cassert>
#include <cstring>

using namespace clang;

/// RewriteRope is a "strong" string class, designed to make insertions and
/// deletions in the middle of the string nearly constant time (really, they are
/// O(log N), but with a very low constant factor).
///
/// The implementation of this datastructure is a conceptual linear sequence of
/// RopePiece elements.  Each RopePiece represents a view on a separately
/// allocated and reference counted string.  This means that splitting a very
/// long string can be done in constant time by splitting a RopePiece that
/// references the whole string into two rope pieces that reference each half.
/// Once split, another string can be inserted in between the two halves by
/// inserting a RopePiece in between the two others.  All of this is very
/// inexpensive: it takes time proportional to the number of RopePieces, not the
/// length of the strings they represent.
///
/// While a linear sequences of RopePieces is the conceptual model, the actual
/// implementation captures them in an adapted B+ Tree.  Using a B+ tree (which
/// is a tree that keeps the values in the leaves and has where each node
/// contains a reasonable number of pointers to children/values) allows us to
/// maintain efficient operation when the RewriteRope contains a *huge* number
/// of RopePieces.  The basic idea of the B+ Tree is that it allows us to find
/// the RopePiece corresponding to some offset very efficiently, and it
/// automatically balances itself on insertions of RopePieces (which can happen
/// for both insertions and erases of string ranges).
///
/// The one wrinkle on the theory is that we don't attempt to keep the tree
/// properly balanced when erases happen.  Erases of string data can both insert
/// new RopePieces (e.g. when the middle of some other rope piece is deleted,
/// which results in two rope pieces, which is just like an insert) or it can
/// reduce the number of RopePieces maintained by the B+Tree.  In the case when
/// the number of RopePieces is reduced, we don't attempt to maintain the
/// standard 'invariant' that each node in the tree contains at least
/// 'WidthFactor' children/values.  For our use cases, this doesn't seem to
/// matter.
///
/// The implementation below is primarily implemented in terms of three classes:
///   RopePieceBTreeNode - Common base class for:
///
///     RopePieceBTreeLeaf - Directly manages up to '2*WidthFactor' RopePiece
///          nodes.  This directly represents a chunk of the string with those
///          RopePieces concatenated.
///     RopePieceBTreeInterior - An interior node in the B+ Tree, which manages
///          up to '2*WidthFactor' other nodes in the tree.

namespace {

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

  /// RopePieceBTreeNode - Common base class of RopePieceBTreeLeaf and
  /// RopePieceBTreeInterior.  This provides some 'virtual' dispatching methods
  /// and a flag that determines which subclass the instance is.  Also
  /// important, this node knows the full extend of the node, including any
  /// children that it has.  This allows efficient skipping over entire subtrees
  /// when looking for an offset in the BTree.
  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 = 0;

    /// IsLeaf - True if this is an instance of RopePieceBTreeLeaf, false if it
    /// is an instance of RopePieceBTreeInterior.
    bool IsLeaf;

    RopePieceBTreeNode(bool isLeaf) : IsLeaf(isLeaf) {}
    ~RopePieceBTreeNode() = default;

  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.
    ///
    /// If there is no space in this subtree for the extra piece, the extra tree
    /// node is returned and must be inserted into a parent.
    RopePieceBTreeNode *split(unsigned Offset);

    /// 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.
    ///
    /// If there is no space in this subtree for the extra piece, the extra tree
    /// node is returned and must be inserted into a parent.
    RopePieceBTreeNode *insert(unsigned Offset, const RopePiece &R);

    /// 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);
  };

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

  /// RopePieceBTreeLeaf - Directly manages up to '2*WidthFactor' RopePiece
  /// nodes.  This directly represents a chunk of the string with those
  /// RopePieces concatenated.  Since this is a B+Tree, all values (in this case
  /// instances of RopePiece) are stored in leaves like this.  To make iteration
  /// over the leaves efficient, they maintain a singly linked list through the
  /// NextLeaf field.  This allows the B+Tree forward iterator to be constant
  /// time for all increments.
  class RopePieceBTreeLeaf : public RopePieceBTreeNode {
    /// NumPieces - This holds the number of rope pieces currently active in the
    /// Pieces array.
    unsigned char NumPieces = 0;

    /// 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.
    RopePieceBTreeLeaf **PrevLeaf = nullptr;
    RopePieceBTreeLeaf *NextLeaf = nullptr;

  public:
    RopePieceBTreeLeaf() : RopePieceBTreeNode(true) {}

    ~RopePieceBTreeLeaf() {
      if (PrevLeaf || NextLeaf)
        removeFromLeafInOrder();
      clear();
    }

    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 insertAfterLeafInOrder(RopePieceBTreeLeaf *Node) {
      assert(!PrevLeaf && !NextLeaf && "Already in ordering");

      NextLeaf = Node->NextLeaf;
      if (NextLeaf)
        NextLeaf->PrevLeaf = &NextLeaf;
      PrevLeaf = &Node->NextLeaf;
      Node->NextLeaf = this;
    }

    void removeFromLeafInOrder() {
      if (PrevLeaf) {
        *PrevLeaf = NextLeaf;
        if (NextLeaf)
          NextLeaf->PrevLeaf = PrevLeaf;
      } else if (NextLeaf) {
        NextLeaf->PrevLeaf = nullptr;
      }
    }

    /// FullRecomputeSizeLocally - This method recomputes the 'Size' field by
    /// summing the size of all RopePieces.
    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.
    ///
    /// If there is no space in this subtree for the extra piece, the extra tree
    /// node is returned and must be inserted into a parent.
    RopePieceBTreeNode *split(unsigned Offset);

    /// 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.
    ///
    /// If there is no space in this subtree for the extra piece, the extra tree
    /// node is returned and must be inserted into a parent.
    RopePieceBTreeNode *insert(unsigned Offset, const RopePiece &R);

    /// 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 bool classof(const RopePieceBTreeNode *N) {
      return N->isLeaf();
    }
  };

} // 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.
///
/// If there is no space in this subtree for the extra piece, the extra tree
/// node is returned and must be inserted into a parent.
RopePieceBTreeNode *RopePieceBTreeLeaf::split(unsigned Offset) {
  // 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 nullptr;
  }

  // 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 nullptr;

  // 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);
}

/// 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.
///
/// If there is no space in this subtree for the extra piece, the extra tree
/// node is returned and must be inserted into a parent.
RopePieceBTreeNode *RopePieceBTreeLeaf::insert(unsigned Offset,
                                               const RopePiece &R) {
  // 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 nullptr;
  }

  // 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->insertAfterLeafInOrder(this);

  // These insertions can't fail.
  if (this->size() >= Offset)
    this->insert(Offset, R);
  else
    NewNode->insert(Offset - this->size(), R);
  return NewNode;
}

/// 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 {

  /// RopePieceBTreeInterior - This represents an interior node in the B+Tree,
  /// which holds up to 2*WidthFactor pointers to child nodes.
  class RopePieceBTreeInterior : public RopePieceBTreeNode {
    /// NumChildren - This holds the number of children currently active in the
    /// Children array.
    unsigned char NumChildren = 0;

    RopePieceBTreeNode *Children[2*WidthFactor];

  public:
    RopePieceBTreeInterior() : RopePieceBTreeNode(false) {}

    RopePieceBTreeInterior(RopePieceBTreeNode *LHS, RopePieceBTreeNode *RHS)
        : RopePieceBTreeNode(false) {
      Children[0] = LHS;
      Children[1] = RHS;
      NumChildren = 2;
      Size = LHS->size() + RHS->size();
    }

    ~RopePieceBTreeInterior() {
      for (unsigned i = 0, e = getNumChildren(); i != e; ++i)
        Children[i]->Destroy();
    }

    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];
    }

    /// FullRecomputeSizeLocally - Recompute the Size field of this node by
    /// summing up the sizes of the child nodes.
    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.
    ///
    /// If there is no space in this subtree for the extra piece, the extra tree
    /// node is returned and must be inserted into a parent.
    RopePieceBTreeNode *split(unsigned Offset);

    /// 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.
    ///
    /// If there is no space in this subtree for the extra piece, the extra tree
    /// node is returned and must be inserted into a parent.
    RopePieceBTreeNode *insert(unsigned Offset, const RopePiece &R);

    /// HandleChildPiece - A child propagated an insertion result up to us.
    /// Insert the new child, and/or propagate the result further up the tree.
    RopePieceBTreeNode *HandleChildPiece(unsigned i, RopePieceBTreeNode *RHS);

    /// 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 bool classof(const RopePieceBTreeNode *N) {
      return !N->isLeaf();
    }
  };

} // 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.
///
/// If there is no space in this subtree for the extra piece, the extra tree
/// node is returned and must be inserted into a parent.
RopePieceBTreeNode *RopePieceBTreeInterior::split(unsigned Offset) {
  // Figure out which child to split.
  if (Offset == 0 || Offset == size())
    return nullptr; // 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 nullptr;

  // Otherwise, recursively split the child.
  if (RopePieceBTreeNode *RHS = getChild(i)->split(Offset-ChildOffset))
    return HandleChildPiece(i, RHS);
  return nullptr; // 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.
///
/// If there is no space in this subtree for the extra piece, the extra tree
/// node is returned and must be inserted into a parent.
RopePieceBTreeNode *RopePieceBTreeInterior::insert(unsigned Offset,
                                                   const RopePiece &R) {
  // 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 (RopePieceBTreeNode *RHS = getChild(i)->insert(Offset-ChildOffs, R))
    return HandleChildPiece(i, RHS);

  return nullptr;
}

/// HandleChildPiece - A child propagated an insertion result up to us.
/// Insert the new child, and/or propagate the result further up the tree.
RopePieceBTreeNode *
RopePieceBTreeInterior::HandleChildPiece(unsigned i, RopePieceBTreeNode *RHS) {
  // Otherwise the child propagated a subtree up to us as a new child.  See if
  // we have space for it here.
  if (!isFull()) {
    // Insert RHS after child 'i'.
    if (i + 1 != getNumChildren())
      memmove(&Children[i+2], &Children[i+1],
              (getNumChildren()-i-1)*sizeof(Children[0]));
    Children[i+1] = RHS;
    ++NumChildren;
    return nullptr;
  }

  // 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.
  // These insertions can't fail.
  if (i < WidthFactor)
    this->HandleChildPiece(i, RHS);
  else
    NewNode->HandleChildPiece(i-WidthFactor, RHS);

  // Recompute the two nodes' size.
  NewNode->FullRecomputeSizeLocally();
  FullRecomputeSizeLocally();
  return NewNode;
}

/// 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;
      // Start at the beginning of the next child.
      Offset = 0;
      ++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 != getNumChildren())
      memmove(&Children[i], &Children[i+1],
              (getNumChildren()-i)*sizeof(Children[0]));
  }
}

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

void RopePieceBTreeNode::Destroy() {
  if (auto *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.
///
/// If there is no space in this subtree for the extra piece, the extra tree
/// node is returned and must be inserted into a parent.
RopePieceBTreeNode *RopePieceBTreeNode::split(unsigned Offset) {
  assert(Offset <= size() && "Invalid offset to split!");
  if (auto *Leaf = dyn_cast<RopePieceBTreeLeaf>(this))
    return Leaf->split(Offset);
  return cast<RopePieceBTreeInterior>(this)->split(Offset);
}

/// 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.
///
/// If there is no space in this subtree for the extra piece, the extra tree
/// node is returned and must be inserted into a parent.
RopePieceBTreeNode *RopePieceBTreeNode::insert(unsigned Offset,
                                               const RopePiece &R) {
  assert(Offset <= size() && "Invalid offset to insert!");
  if (auto *Leaf = dyn_cast<RopePieceBTreeLeaf>(this))
    return Leaf->insert(Offset, R);
  return cast<RopePieceBTreeInterior>(this)->insert(Offset, R);
}

/// 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 (auto *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 auto *N = static_cast<const RopePieceBTreeNode *>(n);

  // Walk down the left side of the tree until we get to a leaf.
  while (const auto *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)
    CurPiece = &getCN(CurNode)->getPiece(0);
  else  // Empty tree, this is an end() iterator.
    CurPiece = nullptr;
  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)
    CurPiece = &getCN(CurNode)->getPiece(0);
  else // Hit end().
    CurPiece = nullptr;
  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 (auto *Leaf = dyn_cast<RopePieceBTreeLeaf>(getRoot(Root)))
    Leaf->clear();
  else {
    getRoot(Root)->Destroy();
    Root = new RopePieceBTreeLeaf();
  }
}

void RopePieceBTree::insert(unsigned Offset, const RopePiece &R) {
  // #1. Split at Offset.
  if (RopePieceBTreeNode *RHS = getRoot(Root)->split(Offset))
    Root = new RopePieceBTreeInterior(getRoot(Root), RHS);

  // #2. Do the insertion.
  if (RopePieceBTreeNode *RHS = getRoot(Root)->insert(Offset, R))
    Root = new RopePieceBTreeInterior(getRoot(Root), RHS);
}

void RopePieceBTree::erase(unsigned Offset, unsigned NumBytes) {
  // #1. Split at Offset.
  if (RopePieceBTreeNode *RHS = getRoot(Root)->split(Offset))
    Root = new RopePieceBTreeInterior(getRoot(Root), RHS);

  // #2. Do the erasing.
  getRoot(Root)->erase(Offset, NumBytes);
}

//===----------------------------------------------------------------------===//
// RewriteRope Implementation
//===----------------------------------------------------------------------===//

/// MakeRopeString - This copies the specified byte range into some instance of
/// RopeRefCountString, and return a RopePiece that represents it.  This uses
/// the AllocBuffer object to aggregate requests for small strings into one
/// allocation instead of doing tons of tiny allocations.
RopePiece RewriteRope::MakeRopeString(const char *Start, const char *End) {
  unsigned Len = End-Start;
  assert(Len && "Zero length RopePiece is invalid!");

  // If we have space for this string in the current alloc buffer, use it.
  if (AllocOffs+Len <= AllocChunkSize) {
    memcpy(AllocBuffer->Data+AllocOffs, Start, Len);
    AllocOffs += Len;
    return RopePiece(AllocBuffer, AllocOffs-Len, AllocOffs);
  }

  // If we don't have enough room because this specific allocation is huge,
  // just allocate a new rope piece for it alone.
  if (Len > AllocChunkSize) {
    unsigned Size = End-Start+sizeof(RopeRefCountString)-1;
    auto *Res = reinterpret_cast<RopeRefCountString *>(new char[Size]);
    Res->RefCount = 0;
    memcpy(Res->Data, Start, End-Start);
    return RopePiece(Res, 0, End-Start);
  }

  // Otherwise, this was a small request but we just don't have space for it
  // Make a new chunk and share it with later allocations.

  unsigned AllocSize = offsetof(RopeRefCountString, Data) + AllocChunkSize;
  auto *Res = reinterpret_cast<RopeRefCountString *>(new char[AllocSize]);
  Res->RefCount = 0;
  memcpy(Res->Data, Start, Len);
  AllocBuffer = Res;
  AllocOffs = Len;

  return RopePiece(AllocBuffer, 0, Len);
}