1 //===- CallGraphSort.cpp --------------------------------------------------===//
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
7 //===----------------------------------------------------------------------===//
9 /// Implementation of Call-Chain Clustering from: Optimizing Function Placement
10 /// for Large-Scale Data-Center Applications
11 /// https://research.fb.com/wp-content/uploads/2017/01/cgo2017-hfsort-final1.pdf
13 /// The goal of this algorithm is to improve runtime performance of the final
14 /// executable by arranging code sections such that page table and i-cache
15 /// misses are minimized.
19 /// * An ordered list of input sections which are laid out as a unit. At the
20 /// beginning of the algorithm each input section has its own cluster and
21 /// the weight of the cluster is the sum of the weight of all incoming
23 /// * Call-Chain Clustering (C³) Heuristic
24 /// * Defines when and how clusters are combined. Pick the highest weighted
25 /// input section then add it to its most likely predecessor if it wouldn't
26 /// penalize it too much.
28 /// * The weight of the cluster divided by the size of the cluster. This is a
29 /// proxy for the amount of execution time spent per byte of the cluster.
31 /// It does so given a call graph profile by the following:
32 /// * Build a weighted call graph from the call graph profile
33 /// * Sort input sections by weight
34 /// * For each input section starting with the highest weight
35 /// * Find its most likely predecessor cluster
36 /// * Check if the combined cluster would be too large, or would have too low
38 /// * If not, then combine the clusters.
39 /// * Sort non-empty clusters by density
41 //===----------------------------------------------------------------------===//
43 #include "CallGraphSort.h"
44 #include "InputFiles.h"
45 #include "InputSection.h"
47 #include "llvm/Support/FileSystem.h"
53 using namespace lld::elf
;
62 Cluster(int sec
, size_t s
) : next(sec
), prev(sec
), size(s
) {}
64 double getDensity() const {
67 return double(weight
) / double(size
);
74 uint64_t initialWeight
= 0;
75 Edge bestPred
= {-1, 0};
82 DenseMap
<const InputSectionBase
*, int> run();
85 std::vector
<Cluster
> clusters
;
86 std::vector
<const InputSectionBase
*> sections
;
89 // Maximum amount the combined cluster density can be worse than the original
90 // cluster to consider merging.
91 constexpr int MAX_DENSITY_DEGRADATION
= 8;
93 // Maximum cluster size in bytes.
94 constexpr uint64_t MAX_CLUSTER_SIZE
= 1024 * 1024;
95 } // end anonymous namespace
98 std::pair
<const InputSectionBase
*, const InputSectionBase
*>;
100 // Take the edge list in Config->CallGraphProfile, resolve symbol names to
101 // Symbols, and generate a graph between InputSections with the provided
103 CallGraphSort::CallGraphSort() {
104 MapVector
<SectionPair
, uint64_t> &profile
= config
->callGraphProfile
;
105 DenseMap
<const InputSectionBase
*, int> secToCluster
;
107 auto getOrCreateNode
= [&](const InputSectionBase
*isec
) -> int {
108 auto res
= secToCluster
.try_emplace(isec
, clusters
.size());
110 sections
.push_back(isec
);
111 clusters
.emplace_back(clusters
.size(), isec
->getSize());
113 return res
.first
->second
;
117 for (std::pair
<SectionPair
, uint64_t> &c
: profile
) {
118 const auto *fromSB
= cast
<InputSectionBase
>(c
.first
.first
);
119 const auto *toSB
= cast
<InputSectionBase
>(c
.first
.second
);
120 uint64_t weight
= c
.second
;
122 // Ignore edges between input sections belonging to different output
123 // sections. This is done because otherwise we would end up with clusters
124 // containing input sections that can't actually be placed adjacently in the
125 // output. This messes with the cluster size and density calculations. We
126 // would also end up moving input sections in other output sections without
127 // moving them closer to what calls them.
128 if (fromSB
->getOutputSection() != toSB
->getOutputSection())
131 int from
= getOrCreateNode(fromSB
);
132 int to
= getOrCreateNode(toSB
);
134 clusters
[to
].weight
+= weight
;
139 // Remember the best edge.
140 Cluster
&toC
= clusters
[to
];
141 if (toC
.bestPred
.from
== -1 || toC
.bestPred
.weight
< weight
) {
142 toC
.bestPred
.from
= from
;
143 toC
.bestPred
.weight
= weight
;
146 for (Cluster
&c
: clusters
)
147 c
.initialWeight
= c
.weight
;
150 // It's bad to merge clusters which would degrade the density too much.
151 static bool isNewDensityBad(Cluster
&a
, Cluster
&b
) {
152 double newDensity
= double(a
.weight
+ b
.weight
) / double(a
.size
+ b
.size
);
153 return newDensity
< a
.getDensity() / MAX_DENSITY_DEGRADATION
;
156 // Find the leader of V's belonged cluster (represented as an equivalence
157 // class). We apply union-find path-halving technique (simple to implement) in
158 // the meantime as it decreases depths and the time complexity.
159 static int getLeader(int *leaders
, int v
) {
160 while (leaders
[v
] != v
) {
161 leaders
[v
] = leaders
[leaders
[v
]];
167 static void mergeClusters(std::vector
<Cluster
> &cs
, Cluster
&into
, int intoIdx
,
168 Cluster
&from
, int fromIdx
) {
169 int tail1
= into
.prev
, tail2
= from
.prev
;
171 cs
[tail2
].next
= intoIdx
;
173 cs
[tail1
].next
= fromIdx
;
174 into
.size
+= from
.size
;
175 into
.weight
+= from
.weight
;
180 // Group InputSections into clusters using the Call-Chain Clustering heuristic
181 // then sort the clusters by density.
182 DenseMap
<const InputSectionBase
*, int> CallGraphSort::run() {
183 std::vector
<int> sorted(clusters
.size());
184 std::unique_ptr
<int[]> leaders(new int[clusters
.size()]);
186 std::iota(leaders
.get(), leaders
.get() + clusters
.size(), 0);
187 std::iota(sorted
.begin(), sorted
.end(), 0);
188 llvm::stable_sort(sorted
, [&](int a
, int b
) {
189 return clusters
[a
].getDensity() > clusters
[b
].getDensity();
192 for (int l
: sorted
) {
193 // The cluster index is the same as the index of its leader here because
194 // clusters[L] has not been merged into another cluster yet.
195 Cluster
&c
= clusters
[l
];
197 // Don't consider merging if the edge is unlikely.
198 if (c
.bestPred
.from
== -1 || c
.bestPred
.weight
* 10 <= c
.initialWeight
)
201 int predL
= getLeader(leaders
.get(), c
.bestPred
.from
);
205 Cluster
*predC
= &clusters
[predL
];
206 if (c
.size
+ predC
->size
> MAX_CLUSTER_SIZE
)
209 if (isNewDensityBad(*predC
, c
))
213 mergeClusters(clusters
, *predC
, predL
, c
, l
);
216 // Sort remaining non-empty clusters by density.
218 for (int i
= 0, e
= (int)clusters
.size(); i
!= e
; ++i
)
219 if (clusters
[i
].size
> 0)
221 llvm::stable_sort(sorted
, [&](int a
, int b
) {
222 return clusters
[a
].getDensity() > clusters
[b
].getDensity();
225 DenseMap
<const InputSectionBase
*, int> orderMap
;
227 for (int leader
: sorted
) {
228 for (int i
= leader
;;) {
229 orderMap
[sections
[i
]] = curOrder
++;
230 i
= clusters
[i
].next
;
235 if (!config
->printSymbolOrder
.empty()) {
237 raw_fd_ostream
os(config
->printSymbolOrder
, ec
, sys::fs::OF_None
);
239 error("cannot open " + config
->printSymbolOrder
+ ": " + ec
.message());
243 // Print the symbols ordered by C3, in the order of increasing curOrder
244 // Instead of sorting all the orderMap, just repeat the loops above.
245 for (int leader
: sorted
)
246 for (int i
= leader
;;) {
247 // Search all the symbols in the file of the section
248 // and find out a Defined symbol with name that is within the section.
249 for (Symbol
*sym
: sections
[i
]->file
->getSymbols())
250 if (!sym
->isSection()) // Filter out section-type symbols here.
251 if (auto *d
= dyn_cast
<Defined
>(sym
))
252 if (sections
[i
] == d
->section
)
253 os
<< sym
->getName() << "\n";
254 i
= clusters
[i
].next
;
263 // Sort sections by the profile data provided by --callgraph-profile-file.
265 // This first builds a call graph based on the profile data then merges sections
266 // according to the C³ heuristic. All clusters are then sorted by a density
267 // metric to further improve locality.
268 DenseMap
<const InputSectionBase
*, int> elf::computeCallGraphProfileOrder() {
269 return CallGraphSort().run();