- //===-- Graph.h - XRay Graph Class ------------------------------*- 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 
- // 
- //===----------------------------------------------------------------------===// 
- // 
- // A Graph Datatype for XRay. 
- // 
- //===----------------------------------------------------------------------===// 
-   
- #ifndef LLVM_XRAY_GRAPH_H 
- #define LLVM_XRAY_GRAPH_H 
-   
- #include <initializer_list> 
- #include <stdint.h> 
- #include <type_traits> 
- #include <utility> 
-   
- #include "llvm/ADT/DenseMap.h" 
- #include "llvm/ADT/DenseSet.h" 
- #include "llvm/ADT/iterator.h" 
- #include "llvm/Support/Error.h" 
-   
- namespace llvm { 
- namespace xray { 
-   
- /// A Graph object represents a Directed Graph and is used in XRay to compute 
- /// and store function call graphs and associated statistical information. 
- /// 
- /// The graph takes in four template parameters, these are: 
- ///  - VertexAttribute, this is a structure which is stored for each vertex. 
- ///    Must be DefaultConstructible, CopyConstructible, CopyAssignable and 
- ///    Destructible. 
- ///  - EdgeAttribute, this is a structure which is stored for each edge 
- ///    Must be DefaultConstructible, CopyConstructible, CopyAssignable and 
- ///    Destructible. 
- ///  - EdgeAttribute, this is a structure which is stored for each variable 
- ///  - VI, this is a type over which DenseMapInfo is defined and is the type 
- ///    used look up strings, available as VertexIdentifier. 
- ///  - If the built in DenseMapInfo is not defined, provide a specialization 
- ///    class type here. 
- /// 
- /// Graph is CopyConstructible, CopyAssignable, MoveConstructible and 
- /// MoveAssignable but is not EqualityComparible or LessThanComparible. 
- /// 
- /// Usage Example Graph with weighted edges and vertices: 
- ///   Graph<int, int, int> G; 
- /// 
- ///   G[1] = 0; 
- ///   G[2] = 2; 
- ///   G[{1,2}] = 1; 
- ///   G[{2,1}] = -1; 
- ///   for(const auto &v : G.vertices()){ 
- ///     // Do something with the vertices in the graph; 
- ///   } 
- ///   for(const auto &e : G.edges()){ 
- ///     // Do something with the edges in the graph; 
- ///   } 
- /// 
- /// Usage Example with StrRef keys. 
- ///   Graph<int, double, StrRef> StrG; 
- ///    char va[] = "Vertex A"; 
- ///    char vaa[] = "Vertex A"; 
- ///    char vb[] = "Vertex B"; // Vertices are referenced by String Refs. 
- ///    G[va] = 0; 
- ///    G[vb] = 1; 
- ///    G[{va, vb}] = 1.0; 
- ///    cout() << G[vaa] << " " << G[{vaa, vb}]; //prints "0 1.0". 
- /// 
- template <typename VertexAttribute, typename EdgeAttribute, 
-           typename VI = int32_t> 
- class Graph { 
- public: 
-   /// These objects are used to name edges and vertices in the graph. 
-   typedef VI VertexIdentifier; 
-   typedef std::pair<VI, VI> EdgeIdentifier; 
-   
-   /// This type is the value_type of all iterators which range over vertices, 
-   /// Determined by the Vertices DenseMap 
-   using VertexValueType = 
-       detail::DenseMapPair<VertexIdentifier, VertexAttribute>; 
-   
-   /// This type is the value_type of all iterators which range over edges, 
-   /// Determined by the Edges DenseMap. 
-   using EdgeValueType = detail::DenseMapPair<EdgeIdentifier, EdgeAttribute>; 
-   
-   using size_type = std::size_t; 
-   
- private: 
-   /// The type used for storing the EdgeAttribute for each edge in the graph 
-   using EdgeMapT = DenseMap<EdgeIdentifier, EdgeAttribute>; 
-   
-   /// The type used for storing the VertexAttribute for each vertex in 
-   /// the graph. 
-   using VertexMapT = DenseMap<VertexIdentifier, VertexAttribute>; 
-   
-   /// The type used for storing the edges entering a vertex. Indexed by 
-   /// the VertexIdentifier of the start of the edge. Only used to determine 
-   /// where the incoming edges are, the EdgeIdentifiers are stored in an 
-   /// InnerEdgeMapT. 
-   using NeighborSetT = DenseSet<VertexIdentifier>; 
-   
-   /// The type storing the InnerInvGraphT corresponding to each vertex in 
-   /// the graph (When a vertex has an incoming edge incident to it) 
-   using NeighborLookupT = DenseMap<VertexIdentifier, NeighborSetT>; 
-   
- private: 
-   /// Stores the map from the start and end vertex of an edge to it's 
-   /// EdgeAttribute 
-   EdgeMapT Edges; 
-   
-   /// Stores the map from VertexIdentifier to VertexAttribute 
-   VertexMapT Vertices; 
-   
-   /// Allows fast lookup for the incoming edge set of any given vertex. 
-   NeighborLookupT InNeighbors; 
-   
-   /// Allows fast lookup for the outgoing edge set of any given vertex. 
-   NeighborLookupT OutNeighbors; 
-   
-   /// An Iterator adapter using an InnerInvGraphT::iterator as a base iterator, 
-   /// and storing the VertexIdentifier the iterator range comes from. The 
-   /// dereference operator is then performed using a pointer to the graph's edge 
-   /// set. 
-   template <bool IsConst, bool IsOut, 
-             typename BaseIt = typename NeighborSetT::const_iterator, 
-             typename T = 
-                 std::conditional_t<IsConst, const EdgeValueType, EdgeValueType>> 
-   class NeighborEdgeIteratorT 
-       : public iterator_adaptor_base< 
-             NeighborEdgeIteratorT<IsConst, IsOut>, BaseIt, 
-             typename std::iterator_traits<BaseIt>::iterator_category, T> { 
-     using InternalEdgeMapT = 
-         std::conditional_t<IsConst, const EdgeMapT, EdgeMapT>; 
-   
-     friend class NeighborEdgeIteratorT<false, IsOut, BaseIt, EdgeValueType>; 
-     friend class NeighborEdgeIteratorT<true, IsOut, BaseIt, 
-                                        const EdgeValueType>; 
-   
-     InternalEdgeMapT *MP; 
-     VertexIdentifier SI; 
-   
-   public: 
-     template <bool IsConstDest, 
-               typename = std::enable_if<IsConstDest && !IsConst>> 
-     operator NeighborEdgeIteratorT<IsConstDest, IsOut, BaseIt, 
-                                    const EdgeValueType>() const { 
-       return NeighborEdgeIteratorT<IsConstDest, IsOut, BaseIt, 
-                                    const EdgeValueType>(this->I, MP, SI); 
-     } 
-   
-     NeighborEdgeIteratorT() = default; 
-     NeighborEdgeIteratorT(BaseIt _I, InternalEdgeMapT *_MP, 
-                           VertexIdentifier _SI) 
-         : iterator_adaptor_base< 
-               NeighborEdgeIteratorT<IsConst, IsOut>, BaseIt, 
-               typename std::iterator_traits<BaseIt>::iterator_category, T>(_I), 
-           MP(_MP), SI(_SI) {} 
-   
-     T &operator*() const { 
-       if (!IsOut) 
-         return *(MP->find({*(this->I), SI})); 
-       else 
-         return *(MP->find({SI, *(this->I)})); 
-     } 
-   }; 
-   
- public: 
-   /// A const iterator type for iterating through the set of edges entering a 
-   /// vertex. 
-   /// 
-   /// Has a const EdgeValueType as its value_type 
-   using ConstInEdgeIterator = NeighborEdgeIteratorT<true, false>; 
-   
-   /// An iterator type for iterating through the set of edges leaving a vertex. 
-   /// 
-   /// Has an EdgeValueType as its value_type 
-   using InEdgeIterator = NeighborEdgeIteratorT<false, false>; 
-   
-   /// A const iterator type for iterating through the set of edges entering a 
-   /// vertex. 
-   /// 
-   /// Has a const EdgeValueType as its value_type 
-   using ConstOutEdgeIterator = NeighborEdgeIteratorT<true, true>; 
-   
-   /// An iterator type for iterating through the set of edges leaving a vertex. 
-   /// 
-   /// Has an EdgeValueType as its value_type 
-   using OutEdgeIterator = NeighborEdgeIteratorT<false, true>; 
-   
-   /// A class for ranging over the incoming edges incident to a vertex. 
-   /// 
-   /// Like all views in this class it provides methods to get the beginning and 
-   /// past the range iterators for the range, as well as methods to determine 
-   /// the number of elements in the range and whether the range is empty. 
-   template <bool isConst, bool isOut> class InOutEdgeView { 
-   public: 
-     using iterator = NeighborEdgeIteratorT<isConst, isOut>; 
-     using const_iterator = NeighborEdgeIteratorT<true, isOut>; 
-     using GraphT = std::conditional_t<isConst, const Graph, Graph>; 
-     using InternalEdgeMapT = 
-         std::conditional_t<isConst, const EdgeMapT, EdgeMapT>; 
-   
-   private: 
-     InternalEdgeMapT &M; 
-     const VertexIdentifier A; 
-     const NeighborLookupT &NL; 
-   
-   public: 
-     iterator begin() { 
-       auto It = NL.find(A); 
-       if (It == NL.end()) 
-         return iterator(); 
-       return iterator(It->second.begin(), &M, A); 
-     } 
-   
-     const_iterator cbegin() const { 
-       auto It = NL.find(A); 
-       if (It == NL.end()) 
-         return const_iterator(); 
-       return const_iterator(It->second.begin(), &M, A); 
-     } 
-   
-     const_iterator begin() const { return cbegin(); } 
-   
-     iterator end() { 
-       auto It = NL.find(A); 
-       if (It == NL.end()) 
-         return iterator(); 
-       return iterator(It->second.end(), &M, A); 
-     } 
-     const_iterator cend() const { 
-       auto It = NL.find(A); 
-       if (It == NL.end()) 
-         return const_iterator(); 
-       return const_iterator(It->second.end(), &M, A); 
-     } 
-   
-     const_iterator end() const { return cend(); } 
-   
-     size_type size() const { 
-       auto I = NL.find(A); 
-       if (I == NL.end()) 
-         return 0; 
-       else 
-         return I->second.size(); 
-     } 
-   
-     bool empty() const { return NL.count(A) == 0; }; 
-   
-     InOutEdgeView(GraphT &G, VertexIdentifier A) 
-         : M(G.Edges), A(A), NL(isOut ? G.OutNeighbors : G.InNeighbors) {} 
-   }; 
-   
-   /// A const iterator type for iterating through the whole vertex set of the 
-   /// graph. 
-   /// 
-   /// Has a const VertexValueType as its value_type 
-   using ConstVertexIterator = typename VertexMapT::const_iterator; 
-   
-   /// An iterator type for iterating through the whole vertex set of the graph. 
-   /// 
-   /// Has a VertexValueType as its value_type 
-   using VertexIterator = typename VertexMapT::iterator; 
-   
-   /// A class for ranging over the vertices in the graph. 
-   /// 
-   /// Like all views in this class it provides methods to get the beginning and 
-   /// past the range iterators for the range, as well as methods to determine 
-   /// the number of elements in the range and whether the range is empty. 
-   template <bool isConst> class VertexView { 
-   public: 
-     using iterator = 
-         std::conditional_t<isConst, ConstVertexIterator, VertexIterator>; 
-     using const_iterator = ConstVertexIterator; 
-     using GraphT = std::conditional_t<isConst, const Graph, Graph>; 
-   
-   private: 
-     GraphT &G; 
-   
-   public: 
-     iterator begin() { return G.Vertices.begin(); } 
-     iterator end() { return G.Vertices.end(); } 
-     const_iterator cbegin() const { return G.Vertices.cbegin(); } 
-     const_iterator cend() const { return G.Vertices.cend(); } 
-     const_iterator begin() const { return G.Vertices.begin(); } 
-     const_iterator end() const { return G.Vertices.end(); } 
-     size_type size() const { return G.Vertices.size(); } 
-     bool empty() const { return G.Vertices.empty(); } 
-     VertexView(GraphT &_G) : G(_G) {} 
-   }; 
-   
-   /// A const iterator for iterating through the entire edge set of the graph. 
-   /// 
-   /// Has a const EdgeValueType as its value_type 
-   using ConstEdgeIterator = typename EdgeMapT::const_iterator; 
-   
-   /// An iterator for iterating through the entire edge set of the graph. 
-   /// 
-   /// Has an EdgeValueType as its value_type 
-   using EdgeIterator = typename EdgeMapT::iterator; 
-   
-   /// A class for ranging over all the edges in the graph. 
-   /// 
-   /// Like all views in this class it provides methods to get the beginning and 
-   /// past the range iterators for the range, as well as methods to determine 
-   /// the number of elements in the range and whether the range is empty. 
-   template <bool isConst> class EdgeView { 
-   public: 
-     using iterator = 
-         std::conditional_t<isConst, ConstEdgeIterator, EdgeIterator>; 
-     using const_iterator = ConstEdgeIterator; 
-     using GraphT = std::conditional_t<isConst, const Graph, Graph>; 
-   
-   private: 
-     GraphT &G; 
-   
-   public: 
-     iterator begin() { return G.Edges.begin(); } 
-     iterator end() { return G.Edges.end(); } 
-     const_iterator cbegin() const { return G.Edges.cbegin(); } 
-     const_iterator cend() const { return G.Edges.cend(); } 
-     const_iterator begin() const { return G.Edges.begin(); } 
-     const_iterator end() const { return G.Edges.end(); } 
-     size_type size() const { return G.Edges.size(); } 
-     bool empty() const { return G.Edges.empty(); } 
-     EdgeView(GraphT &_G) : G(_G) {} 
-   }; 
-   
- public: 
-   // TODO: implement constructor to enable Graph Initialisation.\ 
-   // Something like: 
-   //   Graph<int, int, int> G( 
-   //   {1, 2, 3, 4, 5}, 
-   //   {{1, 2}, {2, 3}, {3, 4}}); 
-   
-   /// Empty the Graph 
-   void clear() { 
-     Edges.clear(); 
-     Vertices.clear(); 
-     InNeighbors.clear(); 
-     OutNeighbors.clear(); 
-   } 
-   
-   /// Returns a view object allowing iteration over the vertices of the graph. 
-   /// also allows access to the size of the vertex set. 
-   VertexView<false> vertices() { return VertexView<false>(*this); } 
-   
-   VertexView<true> vertices() const { return VertexView<true>(*this); } 
-   
-   /// Returns a view object allowing iteration over the edges of the graph. 
-   /// also allows access to the size of the edge set. 
-   EdgeView<false> edges() { return EdgeView<false>(*this); } 
-   
-   EdgeView<true> edges() const { return EdgeView<true>(*this); } 
-   
-   /// Returns a view object allowing iteration over the edges which start at 
-   /// a vertex I. 
-   InOutEdgeView<false, true> outEdges(const VertexIdentifier I) { 
-     return InOutEdgeView<false, true>(*this, I); 
-   } 
-   
-   InOutEdgeView<true, true> outEdges(const VertexIdentifier I) const { 
-     return InOutEdgeView<true, true>(*this, I); 
-   } 
-   
-   /// Returns a view object allowing iteration over the edges which point to 
-   /// a vertex I. 
-   InOutEdgeView<false, false> inEdges(const VertexIdentifier I) { 
-     return InOutEdgeView<false, false>(*this, I); 
-   } 
-   
-   InOutEdgeView<true, false> inEdges(const VertexIdentifier I) const { 
-     return InOutEdgeView<true, false>(*this, I); 
-   } 
-   
-   /// Looks up the vertex with identifier I, if it does not exist it default 
-   /// constructs it. 
-   VertexAttribute &operator[](const VertexIdentifier &I) { 
-     return Vertices.FindAndConstruct(I).second; 
-   } 
-   
-   /// Looks up the edge with identifier I, if it does not exist it default 
-   /// constructs it, if it's endpoints do not exist it also default constructs 
-   /// them. 
-   EdgeAttribute &operator[](const EdgeIdentifier &I) { 
-     auto &P = Edges.FindAndConstruct(I); 
-     Vertices.FindAndConstruct(I.first); 
-     Vertices.FindAndConstruct(I.second); 
-     InNeighbors[I.second].insert(I.first); 
-     OutNeighbors[I.first].insert(I.second); 
-     return P.second; 
-   } 
-   
-   /// Looks up a vertex with Identifier I, or an error if it does not exist. 
-   Expected<VertexAttribute &> at(const VertexIdentifier &I) { 
-     auto It = Vertices.find(I); 
-     if (It == Vertices.end()) 
-       return make_error<StringError>( 
-           "Vertex Identifier Does Not Exist", 
-           std::make_error_code(std::errc::invalid_argument)); 
-     return It->second; 
-   } 
-   
-   Expected<const VertexAttribute &> at(const VertexIdentifier &I) const { 
-     auto It = Vertices.find(I); 
-     if (It == Vertices.end()) 
-       return make_error<StringError>( 
-           "Vertex Identifier Does Not Exist", 
-           std::make_error_code(std::errc::invalid_argument)); 
-     return It->second; 
-   } 
-   
-   /// Looks up an edge with Identifier I, or an error if it does not exist. 
-   Expected<EdgeAttribute &> at(const EdgeIdentifier &I) { 
-     auto It = Edges.find(I); 
-     if (It == Edges.end()) 
-       return make_error<StringError>( 
-           "Edge Identifier Does Not Exist", 
-           std::make_error_code(std::errc::invalid_argument)); 
-     return It->second; 
-   } 
-   
-   Expected<const EdgeAttribute &> at(const EdgeIdentifier &I) const { 
-     auto It = Edges.find(I); 
-     if (It == Edges.end()) 
-       return make_error<StringError>( 
-           "Edge Identifier Does Not Exist", 
-           std::make_error_code(std::errc::invalid_argument)); 
-     return It->second; 
-   } 
-   
-   /// Looks for a vertex with identifier I, returns 1 if one exists, and 
-   /// 0 otherwise 
-   size_type count(const VertexIdentifier &I) const { 
-     return Vertices.count(I); 
-   } 
-   
-   /// Looks for an edge with Identifier I, returns 1 if one exists and 0 
-   /// otherwise 
-   size_type count(const EdgeIdentifier &I) const { return Edges.count(I); } 
-   
-   /// Inserts a vertex into the graph with Identifier Val.first, and 
-   /// Attribute Val.second. 
-   std::pair<VertexIterator, bool> 
-   insert(const std::pair<VertexIdentifier, VertexAttribute> &Val) { 
-     return Vertices.insert(Val); 
-   } 
-   
-   std::pair<VertexIterator, bool> 
-   insert(std::pair<VertexIdentifier, VertexAttribute> &&Val) { 
-     return Vertices.insert(std::move(Val)); 
-   } 
-   
-   /// Inserts an edge into the graph with Identifier Val.first, and 
-   /// Attribute Val.second. If the key is already in the map, it returns false 
-   /// and doesn't update the value. 
-   std::pair<EdgeIterator, bool> 
-   insert(const std::pair<EdgeIdentifier, EdgeAttribute> &Val) { 
-     const auto &p = Edges.insert(Val); 
-     if (p.second) { 
-       const auto &EI = Val.first; 
-       Vertices.FindAndConstruct(EI.first); 
-       Vertices.FindAndConstruct(EI.second); 
-       InNeighbors[EI.second].insert(EI.first); 
-       OutNeighbors[EI.first].insert(EI.second); 
-     }; 
-   
-     return p; 
-   } 
-   
-   /// Inserts an edge into the graph with Identifier Val.first, and 
-   /// Attribute Val.second. If the key is already in the map, it returns false 
-   /// and doesn't update the value. 
-   std::pair<EdgeIterator, bool> 
-   insert(std::pair<EdgeIdentifier, EdgeAttribute> &&Val) { 
-     auto EI = Val.first; 
-     const auto &p = Edges.insert(std::move(Val)); 
-     if (p.second) { 
-       Vertices.FindAndConstruct(EI.first); 
-       Vertices.FindAndConstruct(EI.second); 
-       InNeighbors[EI.second].insert(EI.first); 
-       OutNeighbors[EI.first].insert(EI.second); 
-     }; 
-   
-     return p; 
-   } 
- }; 
- } 
- } 
- #endif 
-