1 //===- llvm/ADT/DirectedGraph.h - Directed Graph ----------------*- C++ -*-===//
2 //
3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
4 // See https://llvm.org/LICENSE.txt for license information.
5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
6 //
7 //===----------------------------------------------------------------------===//
8 //
9 // This file defines the interface and a base class implementation for a
10 // directed graph.
11 //
12 //===----------------------------------------------------------------------===//
13 
14 #ifndef LLVM_ADT_DIRECTEDGRAPH_H
15 #define LLVM_ADT_DIRECTEDGRAPH_H
16 
17 #include "llvm/ADT/GraphTraits.h"
18 #include "llvm/ADT/SetVector.h"
19 #include "llvm/ADT/SmallVector.h"
20 #include "llvm/Support/Debug.h"
21 #include "llvm/Support/raw_ostream.h"
22 
23 namespace llvm {
24 
25 /// Represent an edge in the directed graph.
26 /// The edge contains the target node it connects to.
27 template <class NodeType, class EdgeType> class DGEdge {
28 public:
29   DGEdge() = delete;
30   /// Create an edge pointing to the given node \p N.
31   explicit DGEdge(NodeType &N) : TargetNode(N) {}
32   explicit DGEdge(const DGEdge<NodeType, EdgeType> &E)
33       : TargetNode(E.TargetNode) {}
34   DGEdge<NodeType, EdgeType> &operator=(const DGEdge<NodeType, EdgeType> &E) {
35     TargetNode = E.TargetNode;
36     return *this;
37   }
38 
39   /// Static polymorphism: delegate implementation (via isEqualTo) to the
40   /// derived class.
41   bool operator==(const EdgeType &E) const { return getDerived().isEqualTo(E); }
42   bool operator!=(const EdgeType &E) const { return !operator==(E); }
43 
44   /// Retrieve the target node this edge connects to.
45   const NodeType &getTargetNode() const { return TargetNode; }
46   NodeType &getTargetNode() {
47     return const_cast<NodeType &>(
48         static_cast<const DGEdge<NodeType, EdgeType> &>(*this).getTargetNode());
49   }
50 
51   /// Set the target node this edge connects to.
52   void setTargetNode(const NodeType &N) { TargetNode = N; }
53 
54 protected:
55   // As the default implementation use address comparison for equality.
56   bool isEqualTo(const EdgeType &E) const { return this == &E; }
57 
58   // Cast the 'this' pointer to the derived type and return a reference.
59   EdgeType &getDerived() { return *static_cast<EdgeType *>(this); }
60   const EdgeType &getDerived() const {
61     return *static_cast<const EdgeType *>(this);
62   }
63 
64   // The target node this edge connects to.
65   NodeType &TargetNode;
66 };
67 
68 /// Represent a node in the directed graph.
69 /// The node has a (possibly empty) list of outgoing edges.
70 template <class NodeType, class EdgeType> class DGNode {
71 public:
72   using EdgeListTy = SetVector<EdgeType *>;
73   using iterator = typename EdgeListTy::iterator;
74   using const_iterator = typename EdgeListTy::const_iterator;
75 
76   /// Create a node with a single outgoing edge \p E.
77   explicit DGNode(EdgeType &E) : Edges() { Edges.insert(&E); }
78   DGNode() = default;
79 
80   explicit DGNode(const DGNode<NodeType, EdgeType> &N) : Edges(N.Edges) {}
81   DGNode(DGNode<NodeType, EdgeType> &&N) : Edges(std::move(N.Edges)) {}
82 
83   DGNode<NodeType, EdgeType> &operator=(const DGNode<NodeType, EdgeType> &N) {
84     Edges = N.Edges;
85     return *this;
86   }
87   DGNode<NodeType, EdgeType> &operator=(const DGNode<NodeType, EdgeType> &&N) {
88     Edges = std::move(N.Edges);
89     return *this;
90   }
91 
92   /// Static polymorphism: delegate implementation (via isEqualTo) to the
93   /// derived class.
94   bool operator==(const NodeType &N) const { return getDerived().isEqualTo(N); }
95   bool operator!=(const NodeType &N) const { return !operator==(N); }
96 
97   const_iterator begin() const { return Edges.begin(); }
98   const_iterator end() const { return Edges.end(); }
99   iterator begin() { return Edges.begin(); }
100   iterator end() { return Edges.end(); }
101   const EdgeType &front() const { return *Edges.front(); }
102   EdgeType &front() { return *Edges.front(); }
103   const EdgeType &back() const { return *Edges.back(); }
104   EdgeType &back() { return *Edges.back(); }
105 
106   /// Collect in \p EL, all the edges from this node to \p N.
107   /// Return true if at least one edge was found, and false otherwise.
108   /// Note that this implementation allows more than one edge to connect
109   /// a given pair of nodes.
110   bool findEdgesTo(const NodeType &N, SmallVectorImpl<EdgeType *> &EL) const {
111     assert(EL.empty() && "Expected the list of edges to be empty.");
112     for (auto *E : Edges)
113       if (E->getTargetNode() == N)
114         EL.push_back(E);
115     return !EL.empty();
116   }
117 
118   /// Add the given edge \p E to this node, if it doesn't exist already. Returns
119   /// true if the edge is added and false otherwise.
120   bool addEdge(EdgeType &E) { return Edges.insert(&E); }
121 
122   /// Remove the given edge \p E from this node, if it exists.
123   void removeEdge(EdgeType &E) { Edges.remove(&E); }
124 
125   /// Test whether there is an edge that goes from this node to \p N.
126   bool hasEdgeTo(const NodeType &N) const {
127     return (findEdgeTo(N) != Edges.end());
128   }
129 
130   /// Retrieve the outgoing edges for the node.
131   const EdgeListTy &getEdges() const { return Edges; }
132   EdgeListTy &getEdges() {
133     return const_cast<EdgeListTy &>(
134         static_cast<const DGNode<NodeType, EdgeType> &>(*this).Edges);
135   }
136 
137   /// Clear the outgoing edges.
138   void clear() { Edges.clear(); }
139 
140 protected:
141   // As the default implementation use address comparison for equality.
142   bool isEqualTo(const NodeType &N) const { return this == &N; }
143 
144   // Cast the 'this' pointer to the derived type and return a reference.
145   NodeType &getDerived() { return *static_cast<NodeType *>(this); }
146   const NodeType &getDerived() const {
147     return *static_cast<const NodeType *>(this);
148   }
149 
150   /// Find an edge to \p N. If more than one edge exists, this will return
151   /// the first one in the list of edges.
152   const_iterator findEdgeTo(const NodeType &N) const {
153     return llvm::find_if(
154         Edges, [&N](const EdgeType *E) { return E->getTargetNode() == N; });
155   }
156 
157   // The list of outgoing edges.
158   EdgeListTy Edges;
159 };
160 
161 /// Directed graph
162 ///
163 /// The graph is represented by a table of nodes.
164 /// Each node contains a (possibly empty) list of outgoing edges.
165 /// Each edge contains the target node it connects to.
166 template <class NodeType, class EdgeType> class DirectedGraph {
167 protected:
168   using NodeListTy = SmallVector<NodeType *, 10>;
169   using EdgeListTy = SmallVector<EdgeType *, 10>;
170 public:
171   using iterator = typename NodeListTy::iterator;
172   using const_iterator = typename NodeListTy::const_iterator;
173   using DGraphType = DirectedGraph<NodeType, EdgeType>;
174 
175   DirectedGraph() = default;
176   explicit DirectedGraph(NodeType &N) : Nodes() { addNode(N); }
177   DirectedGraph(const DGraphType &G) : Nodes(G.Nodes) {}
178   DirectedGraph(DGraphType &&RHS) : Nodes(std::move(RHS.Nodes)) {}
179   DGraphType &operator=(const DGraphType &G) {
180     Nodes = G.Nodes;
181     return *this;
182   }
183   DGraphType &operator=(const DGraphType &&G) {
184     Nodes = std::move(G.Nodes);
185     return *this;
186   }
187 
188   const_iterator begin() const { return Nodes.begin(); }
189   const_iterator end() const { return Nodes.end(); }
190   iterator begin() { return Nodes.begin(); }
191   iterator end() { return Nodes.end(); }
192   const NodeType &front() const { return *Nodes.front(); }
193   NodeType &front() { return *Nodes.front(); }
194   const NodeType &back() const { return *Nodes.back(); }
195   NodeType &back() { return *Nodes.back(); }
196 
197   size_t size() const { return Nodes.size(); }
198 
199   /// Find the given node \p N in the table.
200   const_iterator findNode(const NodeType &N) const {
201     return llvm::find_if(Nodes,
202                          [&N](const NodeType *Node) { return *Node == N; });
203   }
204   iterator findNode(const NodeType &N) {
205     return const_cast<iterator>(
206         static_cast<const DGraphType &>(*this).findNode(N));
207   }
208 
209   /// Add the given node \p N to the graph if it is not already present.
210   bool addNode(NodeType &N) {
211     if (findNode(N) != Nodes.end())
212       return false;
213     Nodes.push_back(&N);
214     return true;
215   }
216 
217   /// Collect in \p EL all edges that are coming into node \p N. Return true
218   /// if at least one edge was found, and false otherwise.
219   bool findIncomingEdgesToNode(const NodeType &N, SmallVectorImpl<EdgeType*> &EL) const {
220     assert(EL.empty() && "Expected the list of edges to be empty.");
221     EdgeListTy TempList;
222     for (auto *Node : Nodes) {
223       if (*Node == N)
224         continue;
225       Node->findEdgesTo(N, TempList);
226       EL.insert(EL.end(), TempList.begin(), TempList.end());
227       TempList.clear();
228     }
229     return !EL.empty();
230   }
231 
232   /// Remove the given node \p N from the graph. If the node has incoming or
233   /// outgoing edges, they are also removed. Return true if the node was found
234   /// and then removed, and false if the node was not found in the graph to
235   /// begin with.
236   bool removeNode(NodeType &N) {
237     iterator IT = findNode(N);
238     if (IT == Nodes.end())
239       return false;
240     // Remove incoming edges.
241     EdgeListTy EL;
242     for (auto *Node : Nodes) {
243       if (*Node == N)
244         continue;
245       Node->findEdgesTo(N, EL);
246       for (auto *E : EL)
247         Node->removeEdge(*E);
248       EL.clear();
249     }
250     N.clear();
251     Nodes.erase(IT);
252     return true;
253   }
254 
255   /// Assuming nodes \p Src and \p Dst are already in the graph, connect node \p
256   /// Src to node \p Dst using the provided edge \p E. Return true if \p Src is
257   /// not already connected to \p Dst via \p E, and false otherwise.
258   bool connect(NodeType &Src, NodeType &Dst, EdgeType &E) {
259     assert(findNode(Src) != Nodes.end() && "Src node should be present.");
260     assert(findNode(Dst) != Nodes.end() && "Dst node should be present.");
261     assert((E.getTargetNode() == Dst) &&
262            "Target of the given edge does not match Dst.");
263     return Src.addEdge(E);
264   }
265 
266 protected:
267   // The list of nodes in the graph.
268   NodeListTy Nodes;
269 };
270 
271 } // namespace llvm
272 
273 #endif // LLVM_ADT_DIRECTEDGRAPH_H
274