//===- llvm/ADT/DirectedGraph.h - Directed Graph ----------------*- C++ -*-===//
 
//
 
// 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 defines the interface and a base class implementation for a
 
/// directed graph.
 
///
 
//===----------------------------------------------------------------------===//
 
 
 
#ifndef LLVM_ADT_DIRECTEDGRAPH_H
 
#define LLVM_ADT_DIRECTEDGRAPH_H
 
 
 
#include "llvm/ADT/GraphTraits.h"
 
#include "llvm/ADT/SetVector.h"
 
#include "llvm/ADT/SmallVector.h"
 
#include "llvm/Support/Debug.h"
 
#include "llvm/Support/raw_ostream.h"
 
 
 
namespace llvm {
 
 
 
/// Represent an edge in the directed graph.
 
/// The edge contains the target node it connects to.
 
template <class NodeType, class EdgeType> class DGEdge {
 
public:
 
  DGEdge() = delete;
 
  /// Create an edge pointing to the given node \p N.
 
  explicit DGEdge(NodeType &N) : TargetNode(N) {}
 
  explicit DGEdge(const DGEdge<NodeType, EdgeType> &E)
 
      : TargetNode(E.TargetNode) {}
 
  DGEdge<NodeType, EdgeType> &operator=(const DGEdge<NodeType, EdgeType> &E) {
 
    TargetNode = E.TargetNode;
 
    return *this;
 
  }
 
 
 
  /// Static polymorphism: delegate implementation (via isEqualTo) to the
 
  /// derived class.
 
  bool operator==(const DGEdge &E) const {
 
    return getDerived().isEqualTo(E.getDerived());
 
  }
 
  bool operator!=(const DGEdge &E) const { return !operator==(E); }
 
 
 
  /// Retrieve the target node this edge connects to.
 
  const NodeType &getTargetNode() const { return TargetNode; }
 
  NodeType &getTargetNode() {
 
    return const_cast<NodeType &>(
 
        static_cast<const DGEdge<NodeType, EdgeType> &>(*this).getTargetNode());
 
  }
 
 
 
  /// Set the target node this edge connects to.
 
  void setTargetNode(const NodeType &N) { TargetNode = N; }
 
 
 
protected:
 
  // As the default implementation use address comparison for equality.
 
  bool isEqualTo(const EdgeType &E) const { return this == &E; }
 
 
 
  // Cast the 'this' pointer to the derived type and return a reference.
 
  EdgeType &getDerived() { return *static_cast<EdgeType *>(this); }
 
  const EdgeType &getDerived() const {
 
    return *static_cast<const EdgeType *>(this);
 
  }
 
 
 
  // The target node this edge connects to.
 
  NodeType &TargetNode;
 
};
 
 
 
/// Represent a node in the directed graph.
 
/// The node has a (possibly empty) list of outgoing edges.
 
template <class NodeType, class EdgeType> class DGNode {
 
public:
 
  using EdgeListTy = SetVector<EdgeType *>;
 
  using iterator = typename EdgeListTy::iterator;
 
  using const_iterator = typename EdgeListTy::const_iterator;
 
 
 
  /// Create a node with a single outgoing edge \p E.
 
  explicit DGNode(EdgeType &E) : Edges() { Edges.insert(&E); }
 
  DGNode() = default;
 
 
 
  explicit DGNode(const DGNode<NodeType, EdgeType> &N) : Edges(N.Edges) {}
 
  DGNode(DGNode<NodeType, EdgeType> &&N) : Edges(std::move(N.Edges)) {}
 
 
 
  DGNode<NodeType, EdgeType> &operator=(const DGNode<NodeType, EdgeType> &N) {
 
    Edges = N.Edges;
 
    return *this;
 
  }
 
  DGNode<NodeType, EdgeType> &operator=(const DGNode<NodeType, EdgeType> &&N) {
 
    Edges = std::move(N.Edges);
 
    return *this;
 
  }
 
 
 
  /// Static polymorphism: delegate implementation (via isEqualTo) to the
 
  /// derived class.
 
  friend bool operator==(const NodeType &M, const NodeType &N) {
 
    return M.isEqualTo(N);
 
  }
 
  friend bool operator!=(const NodeType &M, const NodeType &N) {
 
    return !(M == N);
 
  }
 
 
 
  const_iterator begin() const { return Edges.begin(); }
 
  const_iterator end() const { return Edges.end(); }
 
  iterator begin() { return Edges.begin(); }
 
  iterator end() { return Edges.end(); }
 
  const EdgeType &front() const { return *Edges.front(); }
 
  EdgeType &front() { return *Edges.front(); }
 
  const EdgeType &back() const { return *Edges.back(); }
 
  EdgeType &back() { return *Edges.back(); }
 
 
 
  /// Collect in \p EL, all the edges from this node to \p N.
 
  /// Return true if at least one edge was found, and false otherwise.
 
  /// Note that this implementation allows more than one edge to connect
 
  /// a given pair of nodes.
 
  bool findEdgesTo(const NodeType &N, SmallVectorImpl<EdgeType *> &EL) const {
 
    assert(EL.empty() && "Expected the list of edges to be empty.");
 
    for (auto *E : Edges)
 
      if (E->getTargetNode() == N)
 
        EL.push_back(E);
 
    return !EL.empty();
 
  }
 
 
 
  /// Add the given edge \p E to this node, if it doesn't exist already. Returns
 
  /// true if the edge is added and false otherwise.
 
  bool addEdge(EdgeType &E) { return Edges.insert(&E); }
 
 
 
  /// Remove the given edge \p E from this node, if it exists.
 
  void removeEdge(EdgeType &E) { Edges.remove(&E); }
 
 
 
  /// Test whether there is an edge that goes from this node to \p N.
 
  bool hasEdgeTo(const NodeType &N) const {
 
    return (findEdgeTo(N) != Edges.end());
 
  }
 
 
 
  /// Retrieve the outgoing edges for the node.
 
  const EdgeListTy &getEdges() const { return Edges; }
 
  EdgeListTy &getEdges() {
 
    return const_cast<EdgeListTy &>(
 
        static_cast<const DGNode<NodeType, EdgeType> &>(*this).Edges);
 
  }
 
 
 
  /// Clear the outgoing edges.
 
  void clear() { Edges.clear(); }
 
 
 
protected:
 
  // As the default implementation use address comparison for equality.
 
  bool isEqualTo(const NodeType &N) const { return this == &N; }
 
 
 
  // Cast the 'this' pointer to the derived type and return a reference.
 
  NodeType &getDerived() { return *static_cast<NodeType *>(this); }
 
  const NodeType &getDerived() const {
 
    return *static_cast<const NodeType *>(this);
 
  }
 
 
 
  /// Find an edge to \p N. If more than one edge exists, this will return
 
  /// the first one in the list of edges.
 
  const_iterator findEdgeTo(const NodeType &N) const {
 
    return llvm::find_if(
 
        Edges, [&N](const EdgeType *E) { return E->getTargetNode() == N; });
 
  }
 
 
 
  // The list of outgoing edges.
 
  EdgeListTy Edges;
 
};
 
 
 
/// Directed graph
 
///
 
/// The graph is represented by a table of nodes.
 
/// Each node contains a (possibly empty) list of outgoing edges.
 
/// Each edge contains the target node it connects to.
 
template <class NodeType, class EdgeType> class DirectedGraph {
 
protected:
 
  using NodeListTy = SmallVector<NodeType *, 10>;
 
  using EdgeListTy = SmallVector<EdgeType *, 10>;
 
public:
 
  using iterator = typename NodeListTy::iterator;
 
  using const_iterator = typename NodeListTy::const_iterator;
 
  using DGraphType = DirectedGraph<NodeType, EdgeType>;
 
 
 
  DirectedGraph() = default;
 
  explicit DirectedGraph(NodeType &N) : Nodes() { addNode(N); }
 
  DirectedGraph(const DGraphType &G) : Nodes(G.Nodes) {}
 
  DirectedGraph(DGraphType &&RHS) : Nodes(std::move(RHS.Nodes)) {}
 
  DGraphType &operator=(const DGraphType &G) {
 
    Nodes = G.Nodes;
 
    return *this;
 
  }
 
  DGraphType &operator=(const DGraphType &&G) {
 
    Nodes = std::move(G.Nodes);
 
    return *this;
 
  }
 
 
 
  const_iterator begin() const { return Nodes.begin(); }
 
  const_iterator end() const { return Nodes.end(); }
 
  iterator begin() { return Nodes.begin(); }
 
  iterator end() { return Nodes.end(); }
 
  const NodeType &front() const { return *Nodes.front(); }
 
  NodeType &front() { return *Nodes.front(); }
 
  const NodeType &back() const { return *Nodes.back(); }
 
  NodeType &back() { return *Nodes.back(); }
 
 
 
  size_t size() const { return Nodes.size(); }
 
 
 
  /// Find the given node \p N in the table.
 
  const_iterator findNode(const NodeType &N) const {
 
    return llvm::find_if(Nodes,
 
                         [&N](const NodeType *Node) { return *Node == N; });
 
  }
 
  iterator findNode(const NodeType &N) {
 
    return const_cast<iterator>(
 
        static_cast<const DGraphType &>(*this).findNode(N));
 
  }
 
 
 
  /// Add the given node \p N to the graph if it is not already present.
 
  bool addNode(NodeType &N) {
 
    if (findNode(N) != Nodes.end())
 
      return false;
 
    Nodes.push_back(&N);
 
    return true;
 
  }
 
 
 
  /// Collect in \p EL all edges that are coming into node \p N. Return true
 
  /// if at least one edge was found, and false otherwise.
 
  bool findIncomingEdgesToNode(const NodeType &N, SmallVectorImpl<EdgeType*> &EL) const {
 
    assert(EL.empty() && "Expected the list of edges to be empty.");
 
    EdgeListTy TempList;
 
    for (auto *Node : Nodes) {
 
      if (*Node == N)
 
        continue;
 
      Node->findEdgesTo(N, TempList);
 
      llvm::append_range(EL, TempList);
 
      TempList.clear();
 
    }
 
    return !EL.empty();
 
  }
 
 
 
  /// Remove the given node \p N from the graph. If the node has incoming or
 
  /// outgoing edges, they are also removed. Return true if the node was found
 
  /// and then removed, and false if the node was not found in the graph to
 
  /// begin with.
 
  bool removeNode(NodeType &N) {
 
    iterator IT = findNode(N);
 
    if (IT == Nodes.end())
 
      return false;
 
    // Remove incoming edges.
 
    EdgeListTy EL;
 
    for (auto *Node : Nodes) {
 
      if (*Node == N)
 
        continue;
 
      Node->findEdgesTo(N, EL);
 
      for (auto *E : EL)
 
        Node->removeEdge(*E);
 
      EL.clear();
 
    }
 
    N.clear();
 
    Nodes.erase(IT);
 
    return true;
 
  }
 
 
 
  /// Assuming nodes \p Src and \p Dst are already in the graph, connect node \p
 
  /// Src to node \p Dst using the provided edge \p E. Return true if \p Src is
 
  /// not already connected to \p Dst via \p E, and false otherwise.
 
  bool connect(NodeType &Src, NodeType &Dst, EdgeType &E) {
 
    assert(findNode(Src) != Nodes.end() && "Src node should be present.");
 
    assert(findNode(Dst) != Nodes.end() && "Dst node should be present.");
 
    assert((E.getTargetNode() == Dst) &&
 
           "Target of the given edge does not match Dst.");
 
    return Src.addEdge(E);
 
  }
 
 
 
protected:
 
  // The list of nodes in the graph.
 
  NodeListTy Nodes;
 
};
 
 
 
} // namespace llvm
 
 
 
#endif // LLVM_ADT_DIRECTEDGRAPH_H