1 //==========-- ImmutableGraph.h - A fast DAG implementation ---------=========//
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 /// Description: ImmutableGraph is a fast DAG implementation that cannot be
10 /// modified, except by creating a new ImmutableGraph. ImmutableGraph is
11 /// implemented as two arrays: one containing nodes, and one containing edges.
12 /// The advantages to this implementation are two-fold:
13 /// 1. Iteration and traversal operations benefit from cache locality.
14 /// 2. Operations on sets of nodes/edges are efficient, and representations of
15 ///    those sets in memory are compact. For instance, a set of edges is
16 ///    implemented as a bit vector, wherein each bit corresponds to one edge in
17 ///    the edge array. This implies a lower bound of 64x spatial improvement
18 ///    over, e.g., an llvm::DenseSet or llvm::SmallSet. It also means that
19 ///    insert/erase/contains operations complete in negligible constant time:
20 ///    insert and erase require one load and one store, and contains requires
21 ///    just one load.
22 ///
23 //===----------------------------------------------------------------------===//
24 
25 #ifndef LLVM_LIB_TARGET_X86_IMMUTABLEGRAPH_H
26 #define LLVM_LIB_TARGET_X86_IMMUTABLEGRAPH_H
27 
28 #include "llvm/ADT/BitVector.h"
29 #include "llvm/ADT/GraphTraits.h"
30 #include "llvm/ADT/STLExtras.h"
31 #include <algorithm>
32 #include <iterator>
33 #include <utility>
34 #include <vector>
35 
36 namespace llvm {
37 
38 template <typename NodeValueT, typename EdgeValueT> class ImmutableGraph {
39   using Traits = GraphTraits<ImmutableGraph<NodeValueT, EdgeValueT> *>;
40   template <typename> friend class ImmutableGraphBuilder;
41 
42 public:
43   using node_value_type = NodeValueT;
44   using edge_value_type = EdgeValueT;
45   using size_type = int;
46   class Node;
47   class Edge {
48     friend class ImmutableGraph;
49     template <typename> friend class ImmutableGraphBuilder;
50 
51     const Node *Dest;
52     edge_value_type Value;
53 
54   public:
getDest()55     const Node *getDest() const { return Dest; };
getValue()56     const edge_value_type &getValue() const { return Value; }
57   };
58   class Node {
59     friend class ImmutableGraph;
60     template <typename> friend class ImmutableGraphBuilder;
61 
62     const Edge *Edges;
63     node_value_type Value;
64 
65   public:
getValue()66     const node_value_type &getValue() const { return Value; }
67 
edges_begin()68     const Edge *edges_begin() const { return Edges; }
69     // Nodes are allocated sequentially. Edges for a node are stored together.
70     // The end of this Node's edges is the beginning of the next node's edges.
71     // An extra node was allocated to hold the end pointer for the last real
72     // node.
edges_end()73     const Edge *edges_end() const { return (this + 1)->Edges; }
edges()74     ArrayRef<Edge> edges() const {
75       return makeArrayRef(edges_begin(), edges_end());
76     }
77   };
78 
79 protected:
ImmutableGraph(std::unique_ptr<Node[]> Nodes,std::unique_ptr<Edge[]> Edges,size_type NodesSize,size_type EdgesSize)80   ImmutableGraph(std::unique_ptr<Node[]> Nodes, std::unique_ptr<Edge[]> Edges,
81                  size_type NodesSize, size_type EdgesSize)
82       : Nodes(std::move(Nodes)), Edges(std::move(Edges)), NodesSize(NodesSize),
83         EdgesSize(EdgesSize) {}
84   ImmutableGraph(const ImmutableGraph &) = delete;
85   ImmutableGraph(ImmutableGraph &&) = delete;
86   ImmutableGraph &operator=(const ImmutableGraph &) = delete;
87   ImmutableGraph &operator=(ImmutableGraph &&) = delete;
88 
89 public:
nodes()90   ArrayRef<Node> nodes() const { return makeArrayRef(Nodes.get(), NodesSize); }
nodes_begin()91   const Node *nodes_begin() const { return nodes().begin(); }
nodes_end()92   const Node *nodes_end() const { return nodes().end(); }
93 
edges()94   ArrayRef<Edge> edges() const { return makeArrayRef(Edges.get(), EdgesSize); }
edges_begin()95   const Edge *edges_begin() const { return edges().begin(); }
edges_end()96   const Edge *edges_end() const { return edges().end(); }
97 
nodes_size()98   size_type nodes_size() const { return NodesSize; }
edges_size()99   size_type edges_size() const { return EdgesSize; }
100 
101   // Node N must belong to this ImmutableGraph.
getNodeIndex(const Node & N)102   size_type getNodeIndex(const Node &N) const {
103     return std::distance(nodes_begin(), &N);
104   }
105   // Edge E must belong to this ImmutableGraph.
getEdgeIndex(const Edge & E)106   size_type getEdgeIndex(const Edge &E) const {
107     return std::distance(edges_begin(), &E);
108   }
109 
110   // FIXME: Could NodeSet and EdgeSet be templated to share code?
111   class NodeSet {
112     const ImmutableGraph &G;
113     BitVector V;
114 
115   public:
116     NodeSet(const ImmutableGraph &G, bool ContainsAll = false)
117         : G{G}, V{static_cast<unsigned>(G.nodes_size()), ContainsAll} {}
insert(const Node & N)118     bool insert(const Node &N) {
119       size_type Idx = G.getNodeIndex(N);
120       bool AlreadyExists = V.test(Idx);
121       V.set(Idx);
122       return !AlreadyExists;
123     }
erase(const Node & N)124     void erase(const Node &N) {
125       size_type Idx = G.getNodeIndex(N);
126       V.reset(Idx);
127     }
contains(const Node & N)128     bool contains(const Node &N) const {
129       size_type Idx = G.getNodeIndex(N);
130       return V.test(Idx);
131     }
clear()132     void clear() { V.reset(); }
empty()133     size_type empty() const { return V.none(); }
134     /// Return the number of elements in the set
count()135     size_type count() const { return V.count(); }
136     /// Return the size of the set's domain
size()137     size_type size() const { return V.size(); }
138     /// Set union
139     NodeSet &operator|=(const NodeSet &RHS) {
140       assert(&this->G == &RHS.G);
141       V |= RHS.V;
142       return *this;
143     }
144     /// Set intersection
145     NodeSet &operator&=(const NodeSet &RHS) {
146       assert(&this->G == &RHS.G);
147       V &= RHS.V;
148       return *this;
149     }
150     /// Set disjoint union
151     NodeSet &operator^=(const NodeSet &RHS) {
152       assert(&this->G == &RHS.G);
153       V ^= RHS.V;
154       return *this;
155     }
156 
157     using index_iterator = typename BitVector::const_set_bits_iterator;
index_begin()158     index_iterator index_begin() const { return V.set_bits_begin(); }
index_end()159     index_iterator index_end() const { return V.set_bits_end(); }
set(size_type Idx)160     void set(size_type Idx) { V.set(Idx); }
reset(size_type Idx)161     void reset(size_type Idx) { V.reset(Idx); }
162 
163     class iterator {
164       const NodeSet &Set;
165       size_type Current;
166 
advance()167       void advance() {
168         assert(Current != -1);
169         Current = Set.V.find_next(Current);
170       }
171 
172     public:
iterator(const NodeSet & Set,size_type Begin)173       iterator(const NodeSet &Set, size_type Begin)
174           : Set{Set}, Current{Begin} {}
175       iterator operator++(int) {
176         iterator Tmp = *this;
177         advance();
178         return Tmp;
179       }
180       iterator &operator++() {
181         advance();
182         return *this;
183       }
184       Node *operator*() const {
185         assert(Current != -1);
186         return Set.G.nodes_begin() + Current;
187       }
188       bool operator==(const iterator &other) const {
189         assert(&this->Set == &other.Set);
190         return this->Current == other.Current;
191       }
192       bool operator!=(const iterator &other) const { return !(*this == other); }
193     };
194 
begin()195     iterator begin() const { return iterator{*this, V.find_first()}; }
end()196     iterator end() const { return iterator{*this, -1}; }
197   };
198 
199   class EdgeSet {
200     const ImmutableGraph &G;
201     BitVector V;
202 
203   public:
204     EdgeSet(const ImmutableGraph &G, bool ContainsAll = false)
205         : G{G}, V{static_cast<unsigned>(G.edges_size()), ContainsAll} {}
insert(const Edge & E)206     bool insert(const Edge &E) {
207       size_type Idx = G.getEdgeIndex(E);
208       bool AlreadyExists = V.test(Idx);
209       V.set(Idx);
210       return !AlreadyExists;
211     }
erase(const Edge & E)212     void erase(const Edge &E) {
213       size_type Idx = G.getEdgeIndex(E);
214       V.reset(Idx);
215     }
contains(const Edge & E)216     bool contains(const Edge &E) const {
217       size_type Idx = G.getEdgeIndex(E);
218       return V.test(Idx);
219     }
clear()220     void clear() { V.reset(); }
empty()221     bool empty() const { return V.none(); }
222     /// Return the number of elements in the set
count()223     size_type count() const { return V.count(); }
224     /// Return the size of the set's domain
size()225     size_type size() const { return V.size(); }
226     /// Set union
227     EdgeSet &operator|=(const EdgeSet &RHS) {
228       assert(&this->G == &RHS.G);
229       V |= RHS.V;
230       return *this;
231     }
232     /// Set intersection
233     EdgeSet &operator&=(const EdgeSet &RHS) {
234       assert(&this->G == &RHS.G);
235       V &= RHS.V;
236       return *this;
237     }
238     /// Set disjoint union
239     EdgeSet &operator^=(const EdgeSet &RHS) {
240       assert(&this->G == &RHS.G);
241       V ^= RHS.V;
242       return *this;
243     }
244 
245     using index_iterator = typename BitVector::const_set_bits_iterator;
index_begin()246     index_iterator index_begin() const { return V.set_bits_begin(); }
index_end()247     index_iterator index_end() const { return V.set_bits_end(); }
set(size_type Idx)248     void set(size_type Idx) { V.set(Idx); }
reset(size_type Idx)249     void reset(size_type Idx) { V.reset(Idx); }
250 
251     class iterator {
252       const EdgeSet &Set;
253       size_type Current;
254 
advance()255       void advance() {
256         assert(Current != -1);
257         Current = Set.V.find_next(Current);
258       }
259 
260     public:
iterator(const EdgeSet & Set,size_type Begin)261       iterator(const EdgeSet &Set, size_type Begin)
262           : Set{Set}, Current{Begin} {}
263       iterator operator++(int) {
264         iterator Tmp = *this;
265         advance();
266         return Tmp;
267       }
268       iterator &operator++() {
269         advance();
270         return *this;
271       }
272       Edge *operator*() const {
273         assert(Current != -1);
274         return Set.G.edges_begin() + Current;
275       }
276       bool operator==(const iterator &other) const {
277         assert(&this->Set == &other.Set);
278         return this->Current == other.Current;
279       }
280       bool operator!=(const iterator &other) const { return !(*this == other); }
281     };
282 
begin()283     iterator begin() const { return iterator{*this, V.find_first()}; }
end()284     iterator end() const { return iterator{*this, -1}; }
285   };
286 
287 private:
288   std::unique_ptr<Node[]> Nodes;
289   std::unique_ptr<Edge[]> Edges;
290   size_type NodesSize;
291   size_type EdgesSize;
292 };
293 
294 template <typename GraphT> class ImmutableGraphBuilder {
295   using node_value_type = typename GraphT::node_value_type;
296   using edge_value_type = typename GraphT::edge_value_type;
297   static_assert(
298       std::is_base_of<ImmutableGraph<node_value_type, edge_value_type>,
299                       GraphT>::value,
300       "Template argument to ImmutableGraphBuilder must derive from "
301       "ImmutableGraph<>");
302   using size_type = typename GraphT::size_type;
303   using NodeSet = typename GraphT::NodeSet;
304   using Node = typename GraphT::Node;
305   using EdgeSet = typename GraphT::EdgeSet;
306   using Edge = typename GraphT::Edge;
307   using BuilderEdge = std::pair<edge_value_type, size_type>;
308   using EdgeList = std::vector<BuilderEdge>;
309   using BuilderVertex = std::pair<node_value_type, EdgeList>;
310   using VertexVec = std::vector<BuilderVertex>;
311 
312 public:
313   using BuilderNodeRef = size_type;
314 
addVertex(const node_value_type & V)315   BuilderNodeRef addVertex(const node_value_type &V) {
316     auto I = AdjList.emplace(AdjList.end(), V, EdgeList{});
317     return std::distance(AdjList.begin(), I);
318   }
319 
addEdge(const edge_value_type & E,BuilderNodeRef From,BuilderNodeRef To)320   void addEdge(const edge_value_type &E, BuilderNodeRef From,
321                BuilderNodeRef To) {
322     AdjList[From].second.emplace_back(E, To);
323   }
324 
empty()325   bool empty() const { return AdjList.empty(); }
326 
get(ArgT &&...Args)327   template <typename... ArgT> std::unique_ptr<GraphT> get(ArgT &&... Args) {
328     size_type VertexSize = AdjList.size(), EdgeSize = 0;
329     for (const auto &V : AdjList) {
330       EdgeSize += V.second.size();
331     }
332     auto VertexArray =
333         std::make_unique<Node[]>(VertexSize + 1 /* terminator node */);
334     auto EdgeArray = std::make_unique<Edge[]>(EdgeSize);
335     size_type VI = 0, EI = 0;
336     for (; VI < VertexSize; ++VI) {
337       VertexArray[VI].Value = std::move(AdjList[VI].first);
338       VertexArray[VI].Edges = &EdgeArray[EI];
339       auto NumEdges = static_cast<size_type>(AdjList[VI].second.size());
340       for (size_type VEI = 0; VEI < NumEdges; ++VEI, ++EI) {
341         auto &E = AdjList[VI].second[VEI];
342         EdgeArray[EI].Value = std::move(E.first);
343         EdgeArray[EI].Dest = &VertexArray[E.second];
344       }
345     }
346     assert(VI == VertexSize && EI == EdgeSize && "ImmutableGraph malformed");
347     VertexArray[VI].Edges = &EdgeArray[EdgeSize]; // terminator node
348     return std::make_unique<GraphT>(std::move(VertexArray),
349                                     std::move(EdgeArray), VertexSize, EdgeSize,
350                                     std::forward<ArgT>(Args)...);
351   }
352 
353   template <typename... ArgT>
trim(const GraphT & G,const NodeSet & TrimNodes,const EdgeSet & TrimEdges,ArgT &&...Args)354   static std::unique_ptr<GraphT> trim(const GraphT &G, const NodeSet &TrimNodes,
355                                       const EdgeSet &TrimEdges,
356                                       ArgT &&... Args) {
357     size_type NewVertexSize = G.nodes_size() - TrimNodes.count();
358     size_type NewEdgeSize = G.edges_size() - TrimEdges.count();
359     auto NewVertexArray =
360         std::make_unique<Node[]>(NewVertexSize + 1 /* terminator node */);
361     auto NewEdgeArray = std::make_unique<Edge[]>(NewEdgeSize);
362 
363     // Walk the nodes and determine the new index for each node.
364     size_type NewNodeIndex = 0;
365     std::vector<size_type> RemappedNodeIndex(G.nodes_size());
366     for (const Node &N : G.nodes()) {
367       if (TrimNodes.contains(N))
368         continue;
369       RemappedNodeIndex[G.getNodeIndex(N)] = NewNodeIndex++;
370     }
371     assert(NewNodeIndex == NewVertexSize &&
372            "Should have assigned NewVertexSize indices");
373 
374     size_type VertexI = 0, EdgeI = 0;
375     for (const Node &N : G.nodes()) {
376       if (TrimNodes.contains(N))
377         continue;
378       NewVertexArray[VertexI].Value = N.getValue();
379       NewVertexArray[VertexI].Edges = &NewEdgeArray[EdgeI];
380       for (const Edge &E : N.edges()) {
381         if (TrimEdges.contains(E))
382           continue;
383         NewEdgeArray[EdgeI].Value = E.getValue();
384         size_type DestIdx = G.getNodeIndex(*E.getDest());
385         size_type NewIdx = RemappedNodeIndex[DestIdx];
386         assert(NewIdx < NewVertexSize);
387         NewEdgeArray[EdgeI].Dest = &NewVertexArray[NewIdx];
388         ++EdgeI;
389       }
390       ++VertexI;
391     }
392     assert(VertexI == NewVertexSize && EdgeI == NewEdgeSize &&
393            "Gadget graph malformed");
394     NewVertexArray[VertexI].Edges = &NewEdgeArray[NewEdgeSize]; // terminator
395     return std::make_unique<GraphT>(std::move(NewVertexArray),
396                                     std::move(NewEdgeArray), NewVertexSize,
397                                     NewEdgeSize, std::forward<ArgT>(Args)...);
398   }
399 
400 private:
401   VertexVec AdjList;
402 };
403 
404 template <typename NodeValueT, typename EdgeValueT>
405 struct GraphTraits<ImmutableGraph<NodeValueT, EdgeValueT> *> {
406   using GraphT = ImmutableGraph<NodeValueT, EdgeValueT>;
407   using NodeRef = typename GraphT::Node const *;
408   using EdgeRef = typename GraphT::Edge const &;
409 
410   static NodeRef edge_dest(EdgeRef E) { return E.getDest(); }
411   using ChildIteratorType =
412       mapped_iterator<typename GraphT::Edge const *, decltype(&edge_dest)>;
413 
414   static NodeRef getEntryNode(GraphT *G) { return G->nodes_begin(); }
415   static ChildIteratorType child_begin(NodeRef N) {
416     return {N->edges_begin(), &edge_dest};
417   }
418   static ChildIteratorType child_end(NodeRef N) {
419     return {N->edges_end(), &edge_dest};
420   }
421 
422   static NodeRef getNode(typename GraphT::Node const &N) { return NodeRef{&N}; }
423   using nodes_iterator =
424       mapped_iterator<typename GraphT::Node const *, decltype(&getNode)>;
425   static nodes_iterator nodes_begin(GraphT *G) {
426     return {G->nodes_begin(), &getNode};
427   }
428   static nodes_iterator nodes_end(GraphT *G) {
429     return {G->nodes_end(), &getNode};
430   }
431 
432   using ChildEdgeIteratorType = typename GraphT::Edge const *;
433 
434   static ChildEdgeIteratorType child_edge_begin(NodeRef N) {
435     return N->edges_begin();
436   }
437   static ChildEdgeIteratorType child_edge_end(NodeRef N) {
438     return N->edges_end();
439   }
440   static typename GraphT::size_type size(GraphT *G) { return G->nodes_size(); }
441 };
442 
443 } // end namespace llvm
444 
445 #endif // LLVM_LIB_TARGET_X86_IMMUTABLEGRAPH_H
446