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+//===- CallGraphSort.cpp --------------------------------------------------===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+///
+/// This is based on the ELF port, see ELF/CallGraphSort.cpp for the details
+/// about the algorithm.
+///
+//===----------------------------------------------------------------------===//
+
+#include "CallGraphSort.h"
+#include "InputFiles.h"
+#include "SymbolTable.h"
+#include "Symbols.h"
+#include "lld/Common/ErrorHandler.h"
+
+#include <numeric>
+
+using namespace llvm;
+using namespace lld;
+using namespace lld::coff;
+
+namespace {
+struct Edge {
+ int from;
+ uint64_t weight;
+};
+
+struct Cluster {
+ Cluster(int sec, size_t s) : next(sec), prev(sec), size(s) {}
+
+ double getDensity() const {
+ if (size == 0)
+ return 0;
+ return double(weight) / double(size);
+ }
+
+ int next;
+ int prev;
+ uint64_t size;
+ uint64_t weight = 0;
+ uint64_t initialWeight = 0;
+ Edge bestPred = {-1, 0};
+};
+
+class CallGraphSort {
+public:
+ CallGraphSort();
+
+ DenseMap<const SectionChunk *, int> run();
+
+private:
+ std::vector<Cluster> clusters;
+ std::vector<const SectionChunk *> sections;
+};
+
+// Maximum amount the combined cluster density can be worse than the original
+// cluster to consider merging.
+constexpr int MAX_DENSITY_DEGRADATION = 8;
+
+// Maximum cluster size in bytes.
+constexpr uint64_t MAX_CLUSTER_SIZE = 1024 * 1024;
+} // end anonymous namespace
+
+using SectionPair = std::pair<const SectionChunk *, const SectionChunk *>;
+
+// Take the edge list in Config->CallGraphProfile, resolve symbol names to
+// Symbols, and generate a graph between InputSections with the provided
+// weights.
+CallGraphSort::CallGraphSort() {
+ MapVector<SectionPair, uint64_t> &profile = config->callGraphProfile;
+ DenseMap<const SectionChunk *, int> secToCluster;
+
+ auto getOrCreateNode = [&](const SectionChunk *isec) -> int {
+ auto res = secToCluster.try_emplace(isec, clusters.size());
+ if (res.second) {
+ sections.push_back(isec);
+ clusters.emplace_back(clusters.size(), isec->getSize());
+ }
+ return res.first->second;
+ };
+
+ // Create the graph.
+ for (std::pair<SectionPair, uint64_t> &c : profile) {
+ const auto *fromSec = cast<SectionChunk>(c.first.first->repl);
+ const auto *toSec = cast<SectionChunk>(c.first.second->repl);
+ uint64_t weight = c.second;
+
+ // Ignore edges between input sections belonging to different output
+ // sections. This is done because otherwise we would end up with clusters
+ // containing input sections that can't actually be placed adjacently in the
+ // output. This messes with the cluster size and density calculations. We
+ // would also end up moving input sections in other output sections without
+ // moving them closer to what calls them.
+ if (fromSec->getOutputSection() != toSec->getOutputSection())
+ continue;
+
+ int from = getOrCreateNode(fromSec);
+ int to = getOrCreateNode(toSec);
+
+ clusters[to].weight += weight;
+
+ if (from == to)
+ continue;
+
+ // Remember the best edge.
+ Cluster &toC = clusters[to];
+ if (toC.bestPred.from == -1 || toC.bestPred.weight < weight) {
+ toC.bestPred.from = from;
+ toC.bestPred.weight = weight;
+ }
+ }
+ for (Cluster &c : clusters)
+ c.initialWeight = c.weight;
+}
+
+// It's bad to merge clusters which would degrade the density too much.
+static bool isNewDensityBad(Cluster &a, Cluster &b) {
+ double newDensity = double(a.weight + b.weight) / double(a.size + b.size);
+ return newDensity < a.getDensity() / MAX_DENSITY_DEGRADATION;
+}
+
+// Find the leader of V's belonged cluster (represented as an equivalence
+// class). We apply union-find path-halving technique (simple to implement) in
+// the meantime as it decreases depths and the time complexity.
+static int getLeader(std::vector<int> &leaders, int v) {
+ while (leaders[v] != v) {
+ leaders[v] = leaders[leaders[v]];
+ v = leaders[v];
+ }
+ return v;
+}
+
+static void mergeClusters(std::vector<Cluster> &cs, Cluster &into, int intoIdx,
+ Cluster &from, int fromIdx) {
+ int tail1 = into.prev, tail2 = from.prev;
+ into.prev = tail2;
+ cs[tail2].next = intoIdx;
+ from.prev = tail1;
+ cs[tail1].next = fromIdx;
+ into.size += from.size;
+ into.weight += from.weight;
+ from.size = 0;
+ from.weight = 0;
+}
+
+// Group InputSections into clusters using the Call-Chain Clustering heuristic
+// then sort the clusters by density.
+DenseMap<const SectionChunk *, int> CallGraphSort::run() {
+ std::vector<int> sorted(clusters.size());
+ std::vector<int> leaders(clusters.size());
+
+ std::iota(leaders.begin(), leaders.end(), 0);
+ std::iota(sorted.begin(), sorted.end(), 0);
+ llvm::stable_sort(sorted, [&](int a, int b) {
+ return clusters[a].getDensity() > clusters[b].getDensity();
+ });
+
+ for (int l : sorted) {
+ // The cluster index is the same as the index of its leader here because
+ // clusters[L] has not been merged into another cluster yet.
+ Cluster &c = clusters[l];
+
+ // Don't consider merging if the edge is unlikely.
+ if (c.bestPred.from == -1 || c.bestPred.weight * 10 <= c.initialWeight)
+ continue;
+
+ int predL = getLeader(leaders, c.bestPred.from);
+ if (l == predL)
+ continue;
+
+ Cluster *predC = &clusters[predL];
+ if (c.size + predC->size > MAX_CLUSTER_SIZE)
+ continue;
+
+ if (isNewDensityBad(*predC, c))
+ continue;
+
+ leaders[l] = predL;
+ mergeClusters(clusters, *predC, predL, c, l);
+ }
+
+ // Sort remaining non-empty clusters by density.
+ sorted.clear();
+ for (int i = 0, e = (int)clusters.size(); i != e; ++i)
+ if (clusters[i].size > 0)
+ sorted.push_back(i);
+ llvm::stable_sort(sorted, [&](int a, int b) {
+ return clusters[a].getDensity() > clusters[b].getDensity();
+ });
+
+ DenseMap<const SectionChunk *, int> orderMap;
+ // Sections will be sorted by increasing order. Absent sections will have
+ // priority 0 and be placed at the end of sections.
+ int curOrder = INT_MIN;
+ for (int leader : sorted) {
+ for (int i = leader;;) {
+ orderMap[sections[i]] = curOrder++;
+ i = clusters[i].next;
+ if (i == leader)
+ break;
+ }
+ }
+ if (!config->printSymbolOrder.empty()) {
+ std::error_code ec;
+ raw_fd_ostream os(config->printSymbolOrder, ec, sys::fs::OF_None);
+ if (ec) {
+ error("cannot open " + config->printSymbolOrder + ": " + ec.message());
+ return orderMap;
+ }
+ // Print the symbols ordered by C3, in the order of increasing curOrder
+ // Instead of sorting all the orderMap, just repeat the loops above.
+ for (int leader : sorted)
+ for (int i = leader;;) {
+ const SectionChunk *sc = sections[i];
+
+ // Search all the symbols in the file of the section
+ // and find out a DefinedCOFF symbol with name that is within the
+ // section.
+ for (Symbol *sym : sc->file->getSymbols())
+ if (auto *d = dyn_cast_or_null<DefinedCOFF>(sym))
+ // Filter out non-COMDAT symbols and section symbols.
+ if (d->isCOMDAT && !d->getCOFFSymbol().isSection() &&
+ sc == d->getChunk())
+ os << sym->getName() << "\n";
+ i = clusters[i].next;
+ if (i == leader)
+ break;
+ }
+ }
+
+ return orderMap;
+}
+
+// Sort sections by the profile data provided by /call-graph-ordering-file
+//
+// This first builds a call graph based on the profile data then merges sections
+// according to the C³ heuristic. All clusters are then sorted by a density
+// metric to further improve locality.
+DenseMap<const SectionChunk *, int> coff::computeCallGraphProfileOrder() {
+ return CallGraphSort().run();
+}