SCCIterator.h

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//===- ADT/SCCIterator.h - Strongly Connected Comp. Iter. -------*- C++ -*-===//
//
//                     The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
/// \file
///
/// This builds on the llvm/ADT/GraphTraits.h file to find the strongly
/// connected components (SCCs) of a graph in O(N+E) time using Tarjan's DFS
/// algorithm.
///
/// The SCC iterator has the important property that if a node in SCC S1 has an
/// edge to a node in SCC S2, then it visits S1 *after* S2.
///
/// To visit S1 *before* S2, use the scc_iterator on the Inverse graph. (NOTE:
/// This requires some simple wrappers and is not supported yet.)
///
//===----------------------------------------------------------------------===//

#ifndef LLVM_ADT_SCCITERATOR_H
#define LLVM_ADT_SCCITERATOR_H

#include "llvm/ADT/DenseMap.h"
#include "llvm/ADT/GraphTraits.h"
#include "llvm/ADT/iterator.h"
#include <cassert>
#include <cstddef>
#include <iterator>
#include <vector>

namespace llvm {

/// Enumerate the SCCs of a directed graph in reverse topological order
/// of the SCC DAG.
///
/// This is implemented using Tarjan's DFS algorithm using an internal stack to
/// build up a vector of nodes in a particular SCC. Note that it is a forward
/// iterator and thus you cannot backtrack or re-visit nodes.
template <class GraphT, class GT = GraphTraits<GraphT>>
class scc_iterator : public iterator_facade_base<
                         scc_iterator<GraphT, GT>, std::forward_iterator_tag,
                         const std::vector<typename GT::NodeRef>, ptrdiff_t> {
  using NodeRef = typename GT::NodeRef;
  using ChildItTy = typename GT::ChildIteratorType;
  using SccTy = std::vector<NodeRef>;
  using reference = typename scc_iterator::reference;

  /// Element of VisitStack during DFS.
  struct StackElement {
    NodeRef Node;         ///< The current node pointer.
    ChildItTy NextChild;  ///< The next child, modified inplace during DFS.
    unsigned MinVisited;  ///< Minimum uplink value of all children of Node.

    StackElement(NodeRef Node, const ChildItTy &Child, unsigned Min)
        : Node(Node), NextChild(Child), MinVisited(Min) {}

    bool operator==(const StackElement &Other) const {
      return Node == Other.Node &&
             NextChild == Other.NextChild &&
             MinVisited == Other.MinVisited;
    }
  };

  /// The visit counters used to detect when a complete SCC is on the stack.
  /// visitNum is the global counter.
  ///
  /// nodeVisitNumbers are per-node visit numbers, also used as DFS flags.
  unsigned visitNum;
  DenseMap<NodeRef, unsigned> nodeVisitNumbers;

  /// Stack holding nodes of the SCC.
  std::vector<NodeRef> SCCNodeStack;

  /// The current SCC, retrieved using operator*().
  SccTy CurrentSCC;

  /// DFS stack, Used to maintain the ordering.  The top contains the current
  /// node, the next child to visit, and the minimum uplink value of all child
  std::vector<StackElement> VisitStack;

  /// A single "visit" within the non-recursive DFS traversal.
  void DFSVisitOne(NodeRef N);

  /// The stack-based DFS traversal; defined below.
  void DFSVisitChildren();

  /// Compute the next SCC using the DFS traversal.
  void GetNextSCC();

  scc_iterator(NodeRef entryN) : visitNum(0) {
    DFSVisitOne(entryN);
    GetNextSCC();
  }

  /// End is when the DFS stack is empty.
  scc_iterator() = default;

public:
  static scc_iterator begin(const GraphT &G) {
    return scc_iterator(GT::getEntryNode(G));
  }
  static scc_iterator end(const GraphT &) { return scc_iterator(); }

  /// Direct loop termination test which is more efficient than
  /// comparison with \c end().
  bool isAtEnd() const {
    assert(!CurrentSCC.empty() || VisitStack.empty());
    return CurrentSCC.empty();
  }

  bool operator==(const scc_iterator &x) const {
    return VisitStack == x.VisitStack && CurrentSCC == x.CurrentSCC;
  }

  scc_iterator &operator++() {
    GetNextSCC();
    return *this;
  }

  reference operator*() const {
    assert(!CurrentSCC.empty() && "Dereferencing END SCC iterator!");
    return CurrentSCC;
  }

  /// Test if the current SCC has a loop.
  ///
  /// If the SCC has more than one node, this is trivially true.  If not, it may
  /// still contain a loop if the node has an edge back to itself.
  bool hasLoop() const;

  /// This informs the \c scc_iterator that the specified \c Old node
  /// has been deleted, and \c New is to be used in its place.
  void ReplaceNode(NodeRef Old, NodeRef New) {
    assert(nodeVisitNumbers.count(Old) && "Old not in scc_iterator?");
    nodeVisitNumbers[New] = nodeVisitNumbers[Old];
    nodeVisitNumbers.erase(Old);
  }
};

template <class GraphT, class GT>
void scc_iterator<GraphT, GT>::DFSVisitOne(NodeRef N) {
  ++visitNum;
  nodeVisitNumbers[N] = visitNum;
  SCCNodeStack.push_back(N);
  VisitStack.push_back(StackElement(N, GT::child_begin(N), visitNum));
#if 0 // Enable if needed when debugging.
  dbgs() << "TarjanSCC: Node " << N <<
        " : visitNum = " << visitNum << "\n";
#endif
}

template <class GraphT, class GT>
void scc_iterator<GraphT, GT>::DFSVisitChildren() {
  assert(!VisitStack.empty());
  while (VisitStack.back().NextChild != GT::child_end(VisitStack.back().Node)) {
    // TOS has at least one more child so continue DFS
    NodeRef childN = *VisitStack.back().NextChild++;
    typename DenseMap<NodeRef, unsigned>::iterator Visited =
        nodeVisitNumbers.find(childN);
    if (Visited == nodeVisitNumbers.end()) {
      // this node has never been seen.
      DFSVisitOne(childN);
      continue;
    }

    unsigned childNum = Visited->second;
    if (VisitStack.back().MinVisited > childNum)
      VisitStack.back().MinVisited = childNum;
  }
}

template <class GraphT, class GT> void scc_iterator<GraphT, GT>::GetNextSCC() {
  CurrentSCC.clear(); // Prepare to compute the next SCC
  while (!VisitStack.empty()) {
    DFSVisitChildren();

    // Pop the leaf on top of the VisitStack.
    NodeRef visitingN = VisitStack.back().Node;
    unsigned minVisitNum = VisitStack.back().MinVisited;
    assert(VisitStack.back().NextChild == GT::child_end(visitingN));
    VisitStack.pop_back();

    // Propagate MinVisitNum to parent so we can detect the SCC starting node.
    if (!VisitStack.empty() && VisitStack.back().MinVisited > minVisitNum)
      VisitStack.back().MinVisited = minVisitNum;

#if 0 // Enable if needed when debugging.
    dbgs() << "TarjanSCC: Popped node " << visitingN <<
          " : minVisitNum = " << minVisitNum << "; Node visit num = " <<
          nodeVisitNumbers[visitingN] << "\n";
#endif

    if (minVisitNum != nodeVisitNumbers[visitingN])
      continue;

    // A full SCC is on the SCCNodeStack!  It includes all nodes below
    // visitingN on the stack.  Copy those nodes to CurrentSCC,
    // reset their minVisit values, and return (this suspends
    // the DFS traversal till the next ++).
    do {
      CurrentSCC.push_back(SCCNodeStack.back());
      SCCNodeStack.pop_back();
      nodeVisitNumbers[CurrentSCC.back()] = ~0U;
    } while (CurrentSCC.back() != visitingN);
    return;
  }
}

template <class GraphT, class GT>
bool scc_iterator<GraphT, GT>::hasLoop() const {
    assert(!CurrentSCC.empty() && "Dereferencing END SCC iterator!");
    if (CurrentSCC.size() > 1)
      return true;
    NodeRef N = CurrentSCC.front();
    for (ChildItTy CI = GT::child_begin(N), CE = GT::child_end(N); CI != CE;
         ++CI)
      if (*CI == N)
        return true;
    return false;
  }

/// Construct the begin iterator for a deduced graph type T.
template <class T> scc_iterator<T> scc_begin(const T &G) {
  return scc_iterator<T>::begin(G);
}

/// Construct the end iterator for a deduced graph type T.
template <class T> scc_iterator<T> scc_end(const T &G) {
  return scc_iterator<T>::end(G);
}

} // end namespace llvm

#endif // LLVM_ADT_SCCITERATOR_H