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-//==========-- ImmutableGraph.h - A fast DAG implementation ---------=========//
-//
-// 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
-//
-//===----------------------------------------------------------------------===//
-///
-/// Description: ImmutableGraph is a fast DAG implementation that cannot be
-/// modified, except by creating a new ImmutableGraph. ImmutableGraph is
-/// implemented as two arrays: one containing nodes, and one containing edges.
-/// The advantages to this implementation are two-fold:
-/// 1. Iteration and traversal operations should experience terrific caching
-/// performance.
-/// 2. Set representations and operations on nodes and edges become
-/// extraordinarily efficient. For instance, a set of edges is implemented as
-/// a bit vector, wherein each bit corresponds to one edge in the edge
-/// array. This implies a lower bound of 64x spacial improvement over, e.g.,
-/// an llvm::DenseSet or llvm::SmallSet. It also means that
-/// insert/erase/contains operations complete in negligible constant time:
-/// insert and erase require one load and one store, and contains requires
-/// just one load.
-///
-//===----------------------------------------------------------------------===//
-
-#ifndef IMMUTABLEGRAPH_H
-#define IMMUTABLEGRAPH_H
-
-#include "llvm/ADT/BitVector.h"
-#include "llvm/ADT/GraphTraits.h"
-#include "llvm/ADT/STLExtras.h"
-#include "llvm/Support/raw_ostream.h"
-#include <algorithm>
-#include <iterator>
-#include <utility>
-#include <vector>
-
-namespace llvm {
-
-template <typename _NodeValueT, typename _EdgeValueT, typename _SizeT = int>
-class ImmutableGraph {
- using Traits = GraphTraits<ImmutableGraph<_NodeValueT, _EdgeValueT> *>;
- template <typename> friend class ImmutableGraphBuilder;
-
-public:
- using NodeValueT = _NodeValueT;
- using EdgeValueT = _EdgeValueT;
- using size_type = _SizeT;
- class Node;
- class Edge {
- friend class ImmutableGraph;
- template <typename> friend class ImmutableGraphBuilder;
- friend Traits;
-
- Node *__dest;
- EdgeValueT __value;
-
- public:
- EdgeValueT &value() { return __value; }
- };
- class Node {
- friend class ImmutableGraph;
- template <typename> friend class ImmutableGraphBuilder;
- friend Traits;
-
- Edge *__edges;
- NodeValueT __value;
-
- public:
- NodeValueT &value() { return __value; }
- };
-
-protected:
- ImmutableGraph(Node *Nodes, size_type NodesSize, Edge *Edges,
- size_type EdgesSize)
- : __nodes{Nodes}, __nodes_size{NodesSize}, __edges{Edges},
- __edges_size{EdgesSize} {}
- ImmutableGraph(const ImmutableGraph &) = delete;
- ImmutableGraph(ImmutableGraph &&) = delete;
- ImmutableGraph &operator=(const ImmutableGraph &) = delete;
- ImmutableGraph &operator=(ImmutableGraph &&) = delete;
-
-public:
- ~ImmutableGraph() {
- delete[] __edges;
- delete[] __nodes;
- }
-
- Node *nodes_begin() const { return __nodes; }
- Node *nodes_end() const { return __nodes + __nodes_size; }
- Edge *edges_begin() const { return __edges; }
- Edge *edges_end() const { return __edges + __edges_size; }
- size_type nodes_size() const { return __nodes_size; }
- size_type edges_size() const { return __edges_size; }
- bool empty() const { return __nodes_size == 0; }
-
- class NodeSet {
- friend class iterator;
-
- const ImmutableGraph &__g;
- BitVector __v;
-
- public:
- NodeSet(const ImmutableGraph &G, bool ContainsAll = false)
- : __g{G}, __v{static_cast<unsigned>(__g.nodes_size()), ContainsAll} {}
- bool insert(Node *N) {
- size_type Idx = std::distance(__g.nodes_begin(), N);
- bool AlreadyExists = __v.test(Idx);
- __v.set(Idx);
- return !AlreadyExists;
- }
- void erase(Node *N) {
- size_type Idx = std::distance(__g.nodes_begin(), N);
- __v.reset(Idx);
- }
- bool contains(Node *N) const {
- size_type Idx = std::distance(__g.nodes_begin(), N);
- return __v.test(Idx);
- }
- void clear() { __v.reset(); }
- size_type empty() const { return __v.none(); }
- /// Return the number of elements in the set
- size_type count() const { return __v.count(); }
- /// Return the size of the set's domain
- size_type size() const { return __v.size(); }
- /// Set union
- NodeSet &operator|=(const NodeSet &RHS) {
- assert(&this->__g == &RHS.__g);
- __v |= RHS.__v;
- return *this;
- }
- /// Set intersection
- NodeSet &operator&=(const NodeSet &RHS) {
- assert(&this->__g == &RHS.__g);
- __v &= RHS.__v;
- return *this;
- }
- /// Set disjoint union
- NodeSet &operator^=(const NodeSet &RHS) {
- assert(&this->__g == &RHS.__g);
- __v ^= RHS.__v;
- return *this;
- }
-
- using index_iterator = typename BitVector::const_set_bits_iterator;
- index_iterator index_begin() const { return __v.set_bits_begin(); }
- index_iterator index_end() const { return __v.set_bits_end(); }
- void set(size_type Idx) { __v.set(Idx); }
- void reset(size_type Idx) { __v.reset(Idx); }
-
- class iterator {
- const NodeSet &__set;
- size_type __current;
-
- void advance() {
- assert(__current != -1);
- __current = __set.__v.find_next(__current);
- }
-
- public:
- iterator(const NodeSet &Set, size_type Begin)
- : __set{Set}, __current{Begin} {}
- iterator operator++(int) {
- iterator Tmp = *this;
- advance();
- return Tmp;
- }
- iterator &operator++() {
- advance();
- return *this;
- }
- Node *operator*() const {
- assert(__current != -1);
- return __set.__g.nodes_begin() + __current;
- }
- bool operator==(const iterator &other) const {
- assert(&this->__set == &other.__set);
- return this->__current == other.__current;
- }
- bool operator!=(const iterator &other) const { return !(*this == other); }
- };
-
- iterator begin() const { return iterator{*this, __v.find_first()}; }
- iterator end() const { return iterator{*this, -1}; }
- };
-
- class EdgeSet {
- const ImmutableGraph &__g;
- BitVector __v;
-
- public:
- EdgeSet(const ImmutableGraph &G, bool ContainsAll = false)
- : __g{G}, __v{static_cast<unsigned>(__g.edges_size()), ContainsAll} {}
- bool insert(Edge *E) {
- size_type Idx = std::distance(__g.edges_begin(), E);
- bool AlreadyExists = __v.test(Idx);
- __v.set(Idx);
- return !AlreadyExists;
- }
- void erase(Edge *E) {
- size_type Idx = std::distance(__g.edges_begin(), E);
- __v.reset(Idx);
- }
- bool contains(Edge *E) const {
- size_type Idx = std::distance(__g.edges_begin(), E);
- return __v.test(Idx);
- }
- void clear() { __v.reset(); }
- bool empty() const { return __v.none(); }
- /// Return the number of elements in the set
- size_type count() const { return __v.count(); }
- /// Return the size of the set's domain
- size_type size() const { return __v.size(); }
- /// Set union
- EdgeSet &operator|=(const EdgeSet &RHS) {
- assert(&this->__g == &RHS.__g);
- __v |= RHS.__v;
- return *this;
- }
- /// Set intersection
- EdgeSet &operator&=(const EdgeSet &RHS) {
- assert(&this->__g == &RHS.__g);
- __v &= RHS.__v;
- return *this;
- }
- /// Set disjoint union
- EdgeSet &operator^=(const EdgeSet &RHS) {
- assert(&this->__g == &RHS.__g);
- __v ^= RHS.__v;
- return *this;
- }
-
- using index_iterator = typename BitVector::const_set_bits_iterator;
- index_iterator index_begin() const { return __v.set_bits_begin(); }
- index_iterator index_end() const { return __v.set_bits_end(); }
- void set(size_type Idx) { __v.set(Idx); }
- void reset(size_type Idx) { __v.reset(Idx); }
-
- class iterator {
- const EdgeSet &__set;
- size_type __current;
-
- void advance() {
- assert(__current != -1);
- __current = __set.__v.find_next(__current);
- }
-
- public:
- iterator(const EdgeSet &Set, size_type Begin)
- : __set{Set}, __current{Begin} {}
- iterator operator++(int) {
- iterator Tmp = *this;
- advance();
- return Tmp;
- }
- iterator &operator++() {
- advance();
- return *this;
- }
- Edge *operator*() const {
- assert(__current != -1);
- return __set.__g.edges_begin() + __current;
- }
- bool operator==(const iterator &other) const {
- assert(&this->__set == &other.__set);
- return this->__current == other.__current;
- }
- bool operator!=(const iterator &other) const { return !(*this == other); }
- };
-
- iterator begin() const { return iterator{*this, __v.find_first()}; }
- iterator end() const { return iterator{*this, -1}; }
- };
-
-private:
- Node *__nodes;
- size_type __nodes_size;
- Edge *__edges;
- size_type __edges_size;
-};
-
-template <typename GraphT> class ImmutableGraphBuilder {
- using NodeValueT = typename GraphT::NodeValueT;
- using EdgeValueT = typename GraphT::EdgeValueT;
- static_assert(
- std::is_base_of<ImmutableGraph<NodeValueT, EdgeValueT>, GraphT>::value,
- "Template argument to ImmutableGraphBuilder must derive from "
- "ImmutableGraph<>");
- using size_type = typename GraphT::size_type;
- using NodeSet = typename GraphT::NodeSet;
- using Node = typename GraphT::Node;
- using EdgeSet = typename GraphT::EdgeSet;
- using Edge = typename GraphT::Edge;
- using BuilderEdge = std::pair<EdgeValueT, size_type>;
- using EdgeList = std::vector<BuilderEdge>;
- using BuilderVertex = std::pair<NodeValueT, EdgeList>;
- using VertexVec = std::vector<BuilderVertex>;
-
-public:
- using NodeRef = size_type;
-
- NodeRef addVertex(const NodeValueT &V) {
- auto I = __adj_list.emplace(__adj_list.end(), V, EdgeList{});
- return std::distance(__adj_list.begin(), I);
- }
-
- void addEdge(const EdgeValueT &E, NodeRef From, NodeRef To) {
- __adj_list[From].second.emplace_back(E, To);
- }
-
- bool empty() const { return __adj_list.empty(); }
-
- template <typename... ArgT> GraphT *get(ArgT &&... Args) {
- size_type VertexSize = __adj_list.size(), EdgeSize = 0;
- for (const auto &V : __adj_list) {
- EdgeSize += V.second.size();
- }
- auto *VertexArray = new Node[VertexSize + 1 /* terminator node */];
- auto *EdgeArray = new Edge[EdgeSize];
- size_type VI = 0, EI = 0;
- for (; VI < static_cast<size_type>(__adj_list.size()); ++VI) {
- VertexArray[VI].__value = std::move(__adj_list[VI].first);
- VertexArray[VI].__edges = &EdgeArray[EI];
- auto NumEdges = static_cast<size_type>(__adj_list[VI].second.size());
- if (NumEdges > 0) {
- for (size_type VEI = 0; VEI < NumEdges; ++VEI, ++EI) {
- auto &E = __adj_list[VI].second[VEI];
- EdgeArray[EI].__value = std::move(E.first);
- EdgeArray[EI].__dest = VertexArray + E.second;
- }
- }
- }
- assert(VI == VertexSize && EI == EdgeSize && "Gadget graph malformed");
- VertexArray[VI].__edges = EdgeArray + EdgeSize; // terminator node
- return new GraphT{VertexArray, VertexSize, EdgeArray, EdgeSize,
- std::forward<ArgT>(Args)...};
- }
-
- template <typename... ArgT>
- static GraphT *trim(const GraphT &G, const NodeSet &TrimNodes,
- const EdgeSet &TrimEdges, ArgT &&... Args) {
- size_type NewVertexSize = TrimNodes.size() - TrimNodes.count();
- size_type NewEdgeSize = TrimEdges.size() - TrimEdges.count();
- auto *NewVertexArray = new Node[NewVertexSize + 1 /* terminator node */];
- auto *NewEdgeArray = new Edge[NewEdgeSize];
- size_type TrimmedNodesSoFar = 0,
- *TrimmedNodes = new size_type[TrimNodes.size()];
- for (size_type I = 0; I < TrimNodes.size(); ++I) {
- TrimmedNodes[I] = TrimmedNodesSoFar;
- if (TrimNodes.contains(G.nodes_begin() + I))
- ++TrimmedNodesSoFar;
- }
- size_type VertexI = 0, EdgeI = 0;
- for (Node *NI = G.nodes_begin(), *NE = G.nodes_end(); NI != NE; ++NI) {
- if (TrimNodes.contains(NI))
- continue;
- size_type NewNumEdges =
- static_cast<int>((NI + 1)->__edges - NI->__edges) > 0
- ? std::count_if(
- NI->__edges, (NI + 1)->__edges,
- [&TrimEdges](Edge &E) { return !TrimEdges.contains(&E); })
- : 0;
- NewVertexArray[VertexI].__value = NI->__value;
- NewVertexArray[VertexI].__edges = &NewEdgeArray[EdgeI];
- if (NewNumEdges > 0) {
- for (Edge *EI = NI->__edges, *EE = (NI + 1)->__edges; EI != EE; ++EI) {
- if (TrimEdges.contains(EI))
- continue;
- NewEdgeArray[EdgeI].__value = EI->__value;
- size_type DestIdx = std::distance(G.nodes_begin(), EI->__dest);
- size_type NewIdx = DestIdx - TrimmedNodes[DestIdx];
- assert(NewIdx < NewVertexSize);
- NewEdgeArray[EdgeI].__dest = NewVertexArray + NewIdx;
- ++EdgeI;
- }
- }
- ++VertexI;
- }
- delete[] TrimmedNodes;
- assert(VertexI == NewVertexSize && EdgeI == NewEdgeSize &&
- "Gadget graph malformed");
- NewVertexArray[VertexI].__edges = NewEdgeArray + NewEdgeSize;
- return new GraphT{NewVertexArray, NewVertexSize, NewEdgeArray, NewEdgeSize,
- std::forward<ArgT>(Args)...};
- }
-
-private:
- VertexVec __adj_list;
-};
-
-template <typename NodeValueT, typename EdgeValueT>
-struct GraphTraits<ImmutableGraph<NodeValueT, EdgeValueT> *> {
- using GraphT = ImmutableGraph<NodeValueT, EdgeValueT>;
- using NodeRef = typename GraphT::Node *;
- using EdgeRef = typename GraphT::Edge &;
-
- static NodeRef edge_dest(EdgeRef E) { return E.__dest; }
- using ChildIteratorType =
- mapped_iterator<typename GraphT::Edge *, decltype(&edge_dest)>;
-
- static NodeRef getEntryNode(GraphT *G) { return G->nodes_begin(); }
- static ChildIteratorType child_begin(NodeRef N) {
- return {N->__edges, &edge_dest};
- }
- static ChildIteratorType child_end(NodeRef N) {
- return {(N + 1)->__edges, &edge_dest};
- }
-
- static NodeRef getNode(typename GraphT::Node &N) { return NodeRef{&N}; }
- using nodes_iterator =
- mapped_iterator<typename GraphT::Node *, decltype(&getNode)>;
- static nodes_iterator nodes_begin(GraphT *G) {
- return {G->nodes_begin(), &getNode};
- }
- static nodes_iterator nodes_end(GraphT *G) {
- return {G->nodes_end(), &getNode};
- }
-
- using ChildEdgeIteratorType = typename GraphT::Edge *;
-
- static ChildEdgeIteratorType child_edge_begin(NodeRef N) {
- return N->__edges;
- }
- static ChildEdgeIteratorType child_edge_end(NodeRef N) {
- return (N + 1)->__edges;
- }
- static typename GraphT::size_type size(GraphT *G) { return G->nodes_size(); }
-};
-
-} // end namespace llvm
-
-#endif // IMMUTABLEGRAPH_H
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