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Rong Xuf430ae42015-12-09 18:08:16 +00001//===-- CFGMST.h - Minimum Spanning Tree for CFG ----------------*- C++ -*-===//
2//
3// The LLVM Compiler Infrastructure
4//
5// This file is distributed under the University of Illinois Open Source
6// License. See LICENSE.TXT for details.
7//
8//===----------------------------------------------------------------------===//
9//
10// This file implements a Union-find algorithm to compute Minimum Spanning Tree
11// for a given CFG.
12//
13//===----------------------------------------------------------------------===//
14
15#include "llvm/ADT/DenseMap.h"
16#include "llvm/ADT/STLExtras.h"
17#include "llvm/Analysis/BlockFrequencyInfo.h"
18#include "llvm/Analysis/BranchProbabilityInfo.h"
19#include "llvm/Analysis/CFG.h"
20#include "llvm/Support/BranchProbability.h"
21#include "llvm/Support/Debug.h"
22#include "llvm/Support/raw_ostream.h"
23#include "llvm/Transforms/Utils/BasicBlockUtils.h"
Rong Xuf430ae42015-12-09 18:08:16 +000024#include <utility>
25#include <vector>
26
27namespace llvm {
28
29#define DEBUG_TYPE "cfgmst"
30
31/// \brief An union-find based Minimum Spanning Tree for CFG
32///
33/// Implements a Union-find algorithm to compute Minimum Spanning Tree
34/// for a given CFG.
35template <class Edge, class BBInfo> class CFGMST {
36public:
37 Function &F;
38
39 // Store all the edges in CFG. It may contain some stale edges
40 // when Removed is set.
41 std::vector<std::unique_ptr<Edge>> AllEdges;
42
43 // This map records the auxiliary information for each BB.
44 DenseMap<const BasicBlock *, std::unique_ptr<BBInfo>> BBInfos;
45
46 // Find the root group of the G and compress the path from G to the root.
47 BBInfo *findAndCompressGroup(BBInfo *G) {
48 if (G->Group != G)
49 G->Group = findAndCompressGroup(static_cast<BBInfo *>(G->Group));
50 return static_cast<BBInfo *>(G->Group);
51 }
52
53 // Union BB1 and BB2 into the same group and return true.
54 // Returns false if BB1 and BB2 are already in the same group.
55 bool unionGroups(const BasicBlock *BB1, const BasicBlock *BB2) {
56 BBInfo *BB1G = findAndCompressGroup(&getBBInfo(BB1));
57 BBInfo *BB2G = findAndCompressGroup(&getBBInfo(BB2));
58
59 if (BB1G == BB2G)
60 return false;
61
62 // Make the smaller rank tree a direct child or the root of high rank tree.
63 if (BB1G->Rank < BB2G->Rank)
64 BB1G->Group = BB2G;
65 else {
66 BB2G->Group = BB1G;
67 // If the ranks are the same, increment root of one tree by one.
68 if (BB1G->Rank == BB2G->Rank)
69 BB1G->Rank++;
70 }
71 return true;
72 }
73
74 // Give BB, return the auxiliary information.
75 BBInfo &getBBInfo(const BasicBlock *BB) const {
76 auto It = BBInfos.find(BB);
77 assert(It->second.get() != nullptr);
78 return *It->second.get();
79 }
80
Rong Xua5b57452016-12-02 19:10:29 +000081 // Give BB, return the auxiliary information if it's available.
82 BBInfo *findBBInfo(const BasicBlock *BB) const {
83 auto It = BBInfos.find(BB);
84 if (It == BBInfos.end())
85 return nullptr;
86 return It->second.get();
87 }
88
Rong Xuf430ae42015-12-09 18:08:16 +000089 // Traverse the CFG using a stack. Find all the edges and assign the weight.
90 // Edges with large weight will be put into MST first so they are less likely
91 // to be instrumented.
92 void buildEdges() {
93 DEBUG(dbgs() << "Build Edge on " << F.getName() << "\n");
94
95 const BasicBlock *BB = &(F.getEntryBlock());
96 uint64_t EntryWeight = (BFI != nullptr ? BFI->getEntryFreq() : 2);
97 // Add a fake edge to the entry.
98 addEdge(nullptr, BB, EntryWeight);
99
100 // Special handling for single BB functions.
101 if (succ_empty(BB)) {
102 addEdge(BB, nullptr, EntryWeight);
103 return;
104 }
105
106 static const uint32_t CriticalEdgeMultiplier = 1000;
107
108 for (Function::iterator BB = F.begin(), E = F.end(); BB != E; ++BB) {
109 TerminatorInst *TI = BB->getTerminator();
110 uint64_t BBWeight =
111 (BFI != nullptr ? BFI->getBlockFreq(&*BB).getFrequency() : 2);
112 uint64_t Weight = 2;
113 if (int successors = TI->getNumSuccessors()) {
114 for (int i = 0; i != successors; ++i) {
115 BasicBlock *TargetBB = TI->getSuccessor(i);
116 bool Critical = isCriticalEdge(TI, i);
117 uint64_t scaleFactor = BBWeight;
118 if (Critical) {
119 if (scaleFactor < UINT64_MAX / CriticalEdgeMultiplier)
120 scaleFactor *= CriticalEdgeMultiplier;
121 else
122 scaleFactor = UINT64_MAX;
123 }
124 if (BPI != nullptr)
125 Weight = BPI->getEdgeProbability(&*BB, TargetBB).scale(scaleFactor);
126 addEdge(&*BB, TargetBB, Weight).IsCritical = Critical;
127 DEBUG(dbgs() << " Edge: from " << BB->getName() << " to "
128 << TargetBB->getName() << " w=" << Weight << "\n");
129 }
130 } else {
131 addEdge(&*BB, nullptr, BBWeight);
132 DEBUG(dbgs() << " Edge: from " << BB->getName() << " to exit"
133 << " w = " << BBWeight << "\n");
134 }
135 }
136 }
137
138 // Sort CFG edges based on its weight.
139 void sortEdgesByWeight() {
140 std::stable_sort(AllEdges.begin(), AllEdges.end(),
141 [](const std::unique_ptr<Edge> &Edge1,
142 const std::unique_ptr<Edge> &Edge2) {
143 return Edge1->Weight > Edge2->Weight;
144 });
145 }
146
147 // Traverse all the edges and compute the Minimum Weight Spanning Tree
148 // using union-find algorithm.
149 void computeMinimumSpanningTree() {
150 // First, put all the critical edge with landing-pad as the Dest to MST.
151 // This works around the insufficient support of critical edges split
152 // when destination BB is a landing pad.
153 for (auto &Ei : AllEdges) {
154 if (Ei->Removed)
155 continue;
156 if (Ei->IsCritical) {
157 if (Ei->DestBB && Ei->DestBB->isLandingPad()) {
158 if (unionGroups(Ei->SrcBB, Ei->DestBB))
159 Ei->InMST = true;
160 }
161 }
162 }
163
164 for (auto &Ei : AllEdges) {
165 if (Ei->Removed)
166 continue;
167 if (unionGroups(Ei->SrcBB, Ei->DestBB))
168 Ei->InMST = true;
169 }
170 }
171
172 // Dump the Debug information about the instrumentation.
173 void dumpEdges(raw_ostream &OS, const Twine &Message) const {
174 if (!Message.str().empty())
175 OS << Message << "\n";
176 OS << " Number of Basic Blocks: " << BBInfos.size() << "\n";
177 for (auto &BI : BBInfos) {
178 const BasicBlock *BB = BI.first;
179 OS << " BB: " << (BB == nullptr ? "FakeNode" : BB->getName()) << " "
180 << BI.second->infoString() << "\n";
181 }
182
183 OS << " Number of Edges: " << AllEdges.size()
184 << " (*: Instrument, C: CriticalEdge, -: Removed)\n";
185 uint32_t Count = 0;
186 for (auto &EI : AllEdges)
187 OS << " Edge " << Count++ << ": " << getBBInfo(EI->SrcBB).Index << "-->"
188 << getBBInfo(EI->DestBB).Index << EI->infoString() << "\n";
189 }
190
191 // Add an edge to AllEdges with weight W.
192 Edge &addEdge(const BasicBlock *Src, const BasicBlock *Dest, uint64_t W) {
193 uint32_t Index = BBInfos.size();
194 auto Iter = BBInfos.end();
195 bool Inserted;
196 std::tie(Iter, Inserted) = BBInfos.insert(std::make_pair(Src, nullptr));
197 if (Inserted) {
198 // Newly inserted, update the real info.
199 Iter->second = std::move(llvm::make_unique<BBInfo>(Index));
200 Index++;
201 }
202 std::tie(Iter, Inserted) = BBInfos.insert(std::make_pair(Dest, nullptr));
203 if (Inserted)
204 // Newly inserted, update the real info.
205 Iter->second = std::move(llvm::make_unique<BBInfo>(Index));
206 AllEdges.emplace_back(new Edge(Src, Dest, W));
207 return *AllEdges.back();
208 }
209
210 BranchProbabilityInfo *BPI;
211 BlockFrequencyInfo *BFI;
212
213public:
214 CFGMST(Function &Func, BranchProbabilityInfo *BPI_ = nullptr,
215 BlockFrequencyInfo *BFI_ = nullptr)
216 : F(Func), BPI(BPI_), BFI(BFI_) {
217 buildEdges();
218 sortEdgesByWeight();
219 computeMinimumSpanningTree();
220 }
221};
222
223#undef DEBUG_TYPE // "cfgmst"
224} // end namespace llvm