ImmutableGraph.h
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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 benefit from cache locality.
/// 2. Operations on sets of nodes/edges are efficient, and representations of
/// those sets in memory are compact. 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 spatial 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 LLVM_LIB_TARGET_X86_IMMUTABLEGRAPH_H
#define LLVM_LIB_TARGET_X86_IMMUTABLEGRAPH_H
#include "llvm/ADT/BitVector.h"
#include "llvm/ADT/GraphTraits.h"
#include "llvm/ADT/STLExtras.h"
#include <algorithm>
#include <iterator>
#include <utility>
#include <vector>
namespace llvm {
template <typename NodeValueT, typename EdgeValueT> class ImmutableGraph {
using Traits = GraphTraits<ImmutableGraph<NodeValueT, EdgeValueT> *>;
template <typename> friend class ImmutableGraphBuilder;
public:
using node_value_type = NodeValueT;
using edge_value_type = EdgeValueT;
using size_type = int;
class Node;
class Edge {
friend class ImmutableGraph;
template <typename> friend class ImmutableGraphBuilder;
const Node *Dest;
edge_value_type Value;
public:
const Node *getDest() const { return Dest; };
const edge_value_type &getValue() const { return Value; }
};
class Node {
friend class ImmutableGraph;
template <typename> friend class ImmutableGraphBuilder;
const Edge *Edges;
node_value_type Value;
public:
const node_value_type &getValue() const { return Value; }
const Edge *edges_begin() const { return Edges; }
// Nodes are allocated sequentially. Edges for a node are stored together.
// The end of this Node's edges is the beginning of the next node's edges.
// An extra node was allocated to hold the end pointer for the last real
// node.
const Edge *edges_end() const { return (this + 1)->Edges; }
ArrayRef<Edge> edges() const {
return makeArrayRef(edges_begin(), edges_end());
}
};
protected:
ImmutableGraph(std::unique_ptr<Node[]> Nodes, std::unique_ptr<Edge[]> Edges,
size_type NodesSize, size_type EdgesSize)
: Nodes(std::move(Nodes)), Edges(std::move(Edges)), NodesSize(NodesSize),
EdgesSize(EdgesSize) {}
ImmutableGraph(const ImmutableGraph &) = delete;
ImmutableGraph(ImmutableGraph &&) = delete;
ImmutableGraph &operator=(const ImmutableGraph &) = delete;
ImmutableGraph &operator=(ImmutableGraph &&) = delete;
public:
ArrayRef<Node> nodes() const { return makeArrayRef(Nodes.get(), NodesSize); }
const Node *nodes_begin() const { return nodes().begin(); }
const Node *nodes_end() const { return nodes().end(); }
ArrayRef<Edge> edges() const { return makeArrayRef(Edges.get(), EdgesSize); }
const Edge *edges_begin() const { return edges().begin(); }
const Edge *edges_end() const { return edges().end(); }
size_type nodes_size() const { return NodesSize; }
size_type edges_size() const { return EdgesSize; }
// Node N must belong to this ImmutableGraph.
size_type getNodeIndex(const Node &N) const {
return std::distance(nodes_begin(), &N);
}
// Edge E must belong to this ImmutableGraph.
size_type getEdgeIndex(const Edge &E) const {
return std::distance(edges_begin(), &E);
}
// FIXME: Could NodeSet and EdgeSet be templated to share code?
class NodeSet {
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(const Node &N) {
size_type Idx = G.getNodeIndex(N);
bool AlreadyExists = V.test(Idx);
V.set(Idx);
return !AlreadyExists;
}
void erase(const Node &N) {
size_type Idx = G.getNodeIndex(N);
V.reset(Idx);
}
bool contains(const Node &N) const {
size_type Idx = G.getNodeIndex(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(const Edge &E) {
size_type Idx = G.getEdgeIndex(E);
bool AlreadyExists = V.test(Idx);
V.set(Idx);
return !AlreadyExists;
}
void erase(const Edge &E) {
size_type Idx = G.getEdgeIndex(E);
V.reset(Idx);
}
bool contains(const Edge &E) const {
size_type Idx = G.getEdgeIndex(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:
std::unique_ptr<Node[]> Nodes;
std::unique_ptr<Edge[]> Edges;
size_type NodesSize;
size_type EdgesSize;
};
template <typename GraphT> class ImmutableGraphBuilder {
using node_value_type = typename GraphT::node_value_type;
using edge_value_type = typename GraphT::edge_value_type;
static_assert(
std::is_base_of<ImmutableGraph<node_value_type, edge_value_type>,
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<edge_value_type, size_type>;
using EdgeList = std::vector<BuilderEdge>;
using BuilderVertex = std::pair<node_value_type, EdgeList>;
using VertexVec = std::vector<BuilderVertex>;
public:
using BuilderNodeRef = size_type;
BuilderNodeRef addVertex(const node_value_type &V) {
auto I = AdjList.emplace(AdjList.end(), V, EdgeList{});
return std::distance(AdjList.begin(), I);
}
void addEdge(const edge_value_type &E, BuilderNodeRef From,
BuilderNodeRef To) {
AdjList[From].second.emplace_back(E, To);
}
bool empty() const { return AdjList.empty(); }
template <typename... ArgT> std::unique_ptr<GraphT> get(ArgT &&... Args) {
size_type VertexSize = AdjList.size(), EdgeSize = 0;
for (const auto &V : AdjList) {
EdgeSize += V.second.size();
}
auto VertexArray =
std::make_unique<Node[]>(VertexSize + 1 /* terminator node */);
auto EdgeArray = std::make_unique<Edge[]>(EdgeSize);
size_type VI = 0, EI = 0;
for (; VI < VertexSize; ++VI) {
VertexArray[VI].Value = std::move(AdjList[VI].first);
VertexArray[VI].Edges = &EdgeArray[EI];
auto NumEdges = static_cast<size_type>(AdjList[VI].second.size());
for (size_type VEI = 0; VEI < NumEdges; ++VEI, ++EI) {
auto &E = AdjList[VI].second[VEI];
EdgeArray[EI].Value = std::move(E.first);
EdgeArray[EI].Dest = &VertexArray[E.second];
}
}
assert(VI == VertexSize && EI == EdgeSize && "ImmutableGraph malformed");
VertexArray[VI].Edges = &EdgeArray[EdgeSize]; // terminator node
return std::make_unique<GraphT>(std::move(VertexArray),
std::move(EdgeArray), VertexSize, EdgeSize,
std::forward<ArgT>(Args)...);
}
template <typename... ArgT>
static std::unique_ptr<GraphT> trim(const GraphT &G, const NodeSet &TrimNodes,
const EdgeSet &TrimEdges,
ArgT &&... Args) {
size_type NewVertexSize = G.nodes_size() - TrimNodes.count();
size_type NewEdgeSize = G.edges_size() - TrimEdges.count();
auto NewVertexArray =
std::make_unique<Node[]>(NewVertexSize + 1 /* terminator node */);
auto NewEdgeArray = std::make_unique<Edge[]>(NewEdgeSize);
// Walk the nodes and determine the new index for each node.
size_type NewNodeIndex = 0;
std::vector<size_type> RemappedNodeIndex(G.nodes_size());
for (const Node &N : G.nodes()) {
if (TrimNodes.contains(N))
continue;
RemappedNodeIndex[G.getNodeIndex(N)] = NewNodeIndex++;
}
assert(NewNodeIndex == NewVertexSize &&
"Should have assigned NewVertexSize indices");
size_type VertexI = 0, EdgeI = 0;
for (const Node &N : G.nodes()) {
if (TrimNodes.contains(N))
continue;
NewVertexArray[VertexI].Value = N.getValue();
NewVertexArray[VertexI].Edges = &NewEdgeArray[EdgeI];
for (const Edge &E : N.edges()) {
if (TrimEdges.contains(E))
continue;
NewEdgeArray[EdgeI].Value = E.getValue();
size_type DestIdx = G.getNodeIndex(*E.getDest());
size_type NewIdx = RemappedNodeIndex[DestIdx];
assert(NewIdx < NewVertexSize);
NewEdgeArray[EdgeI].Dest = &NewVertexArray[NewIdx];
++EdgeI;
}
++VertexI;
}
assert(VertexI == NewVertexSize && EdgeI == NewEdgeSize &&
"Gadget graph malformed");
NewVertexArray[VertexI].Edges = &NewEdgeArray[NewEdgeSize]; // terminator
return std::make_unique<GraphT>(std::move(NewVertexArray),
std::move(NewEdgeArray), NewVertexSize,
NewEdgeSize, std::forward<ArgT>(Args)...);
}
private:
VertexVec AdjList;
};
template <typename NodeValueT, typename EdgeValueT>
struct GraphTraits<ImmutableGraph<NodeValueT, EdgeValueT> *> {
using GraphT = ImmutableGraph<NodeValueT, EdgeValueT>;
using NodeRef = typename GraphT::Node const *;
using EdgeRef = typename GraphT::Edge const &;
static NodeRef edge_dest(EdgeRef E) { return E.getDest(); }
using ChildIteratorType =
mapped_iterator<typename GraphT::Edge const *, decltype(&edge_dest)>;
static NodeRef getEntryNode(GraphT *G) { return G->nodes_begin(); }
static ChildIteratorType child_begin(NodeRef N) {
return {N->edges_begin(), &edge_dest};
}
static ChildIteratorType child_end(NodeRef N) {
return {N->edges_end(), &edge_dest};
}
static NodeRef getNode(typename GraphT::Node const &N) { return NodeRef{&N}; }
using nodes_iterator =
mapped_iterator<typename GraphT::Node const *, 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 const *;
static ChildEdgeIteratorType child_edge_begin(NodeRef N) {
return N->edges_begin();
}
static ChildEdgeIteratorType child_edge_end(NodeRef N) {
return N->edges_end();
}
static typename GraphT::size_type size(GraphT *G) { return G->nodes_size(); }
};
} // end namespace llvm
#endif // LLVM_LIB_TARGET_X86_IMMUTABLEGRAPH_H