| //===- DependenceGraphBuilder.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 file implements common steps of the build algorithm for construction | |
| // of dependence graphs such as DDG and PDG. | |
| //===----------------------------------------------------------------------===// | |
| #include "llvm/Analysis/DependenceGraphBuilder.h" | |
| #include "llvm/ADT/DepthFirstIterator.h" | |
| #include "llvm/ADT/EnumeratedArray.h" | |
| #include "llvm/ADT/PostOrderIterator.h" | |
| #include "llvm/ADT/SCCIterator.h" | |
| #include "llvm/ADT/Statistic.h" | |
| #include "llvm/Analysis/DDG.h" | |
| using namespace llvm; | |
| #define DEBUG_TYPE "dgb" | |
| STATISTIC(TotalGraphs, "Number of dependence graphs created."); | |
| STATISTIC(TotalDefUseEdges, "Number of def-use edges created."); | |
| STATISTIC(TotalMemoryEdges, "Number of memory dependence edges created."); | |
| STATISTIC(TotalFineGrainedNodes, "Number of fine-grained nodes created."); | |
| STATISTIC(TotalPiBlockNodes, "Number of pi-block nodes created."); | |
| STATISTIC(TotalConfusedEdges, | |
| "Number of confused memory dependencies between two nodes."); | |
| STATISTIC(TotalEdgeReversals, | |
| "Number of times the source and sink of dependence was reversed to " | |
| "expose cycles in the graph."); | |
| using InstructionListType = SmallVector<Instruction *, 2>; | |
| //===--------------------------------------------------------------------===// | |
| // AbstractDependenceGraphBuilder implementation | |
| //===--------------------------------------------------------------------===// | |
| template <class G> | |
| void AbstractDependenceGraphBuilder<G>::computeInstructionOrdinals() { | |
| // The BBList is expected to be in program order. | |
| size_t NextOrdinal = 1; | |
| for (auto *BB : BBList) | |
| for (auto &I : *BB) | |
| InstOrdinalMap.insert(std::make_pair(&I, NextOrdinal++)); | |
| } | |
| template <class G> | |
| void AbstractDependenceGraphBuilder<G>::createFineGrainedNodes() { | |
| ++TotalGraphs; | |
| assert(IMap.empty() && "Expected empty instruction map at start"); | |
| for (BasicBlock *BB : BBList) | |
| for (Instruction &I : *BB) { | |
| auto &NewNode = createFineGrainedNode(I); | |
| IMap.insert(std::make_pair(&I, &NewNode)); | |
| NodeOrdinalMap.insert(std::make_pair(&NewNode, getOrdinal(I))); | |
| ++TotalFineGrainedNodes; | |
| } | |
| } | |
| template <class G> | |
| void AbstractDependenceGraphBuilder<G>::createAndConnectRootNode() { | |
| // Create a root node that connects to every connected component of the graph. | |
| // This is done to allow graph iterators to visit all the disjoint components | |
| // of the graph, in a single walk. | |
| // | |
| // This algorithm works by going through each node of the graph and for each | |
| // node N, do a DFS starting from N. A rooted edge is established between the | |
| // root node and N (if N is not yet visited). All the nodes reachable from N | |
| // are marked as visited and are skipped in the DFS of subsequent nodes. | |
| // | |
| // Note: This algorithm tries to limit the number of edges out of the root | |
| // node to some extent, but there may be redundant edges created depending on | |
| // the iteration order. For example for a graph {A -> B}, an edge from the | |
| // root node is added to both nodes if B is visited before A. While it does | |
| // not result in minimal number of edges, this approach saves compile-time | |
| // while keeping the number of edges in check. | |
| auto &RootNode = createRootNode(); | |
| df_iterator_default_set<const NodeType *, 4> Visited; | |
| for (auto *N : Graph) { | |
| if (*N == RootNode) | |
| continue; | |
| for (auto I : depth_first_ext(N, Visited)) | |
| if (I == N) | |
| createRootedEdge(RootNode, *N); | |
| } | |
| } | |
| template <class G> void AbstractDependenceGraphBuilder<G>::createPiBlocks() { | |
| if (!shouldCreatePiBlocks()) | |
| return; | |
| LLVM_DEBUG(dbgs() << "==== Start of Creation of Pi-Blocks ===\n"); | |
| // The overall algorithm is as follows: | |
| // 1. Identify SCCs and for each SCC create a pi-block node containing all | |
| // the nodes in that SCC. | |
| // 2. Identify incoming edges incident to the nodes inside of the SCC and | |
| // reconnect them to the pi-block node. | |
| // 3. Identify outgoing edges from the nodes inside of the SCC to nodes | |
| // outside of it and reconnect them so that the edges are coming out of the | |
| // SCC node instead. | |
| // Adding nodes as we iterate through the SCCs cause the SCC | |
| // iterators to get invalidated. To prevent this invalidation, we first | |
| // collect a list of nodes that are part of an SCC, and then iterate over | |
| // those lists to create the pi-block nodes. Each element of the list is a | |
| // list of nodes in an SCC. Note: trivial SCCs containing a single node are | |
| // ignored. | |
| SmallVector<NodeListType, 4> ListOfSCCs; | |
| for (auto &SCC : make_range(scc_begin(&Graph), scc_end(&Graph))) { | |
| if (SCC.size() > 1) | |
| ListOfSCCs.emplace_back(SCC.begin(), SCC.end()); | |
| } | |
| for (NodeListType &NL : ListOfSCCs) { | |
| LLVM_DEBUG(dbgs() << "Creating pi-block node with " << NL.size() | |
| << " nodes in it.\n"); | |
| // SCC iterator may put the nodes in an order that's different from the | |
| // program order. To preserve original program order, we sort the list of | |
| // nodes based on ordinal numbers computed earlier. | |
| llvm::sort(NL, [&](NodeType *LHS, NodeType *RHS) { | |
| return getOrdinal(*LHS) < getOrdinal(*RHS); | |
| }); | |
| NodeType &PiNode = createPiBlock(NL); | |
| ++TotalPiBlockNodes; | |
| // Build a set to speed up the lookup for edges whose targets | |
| // are inside the SCC. | |
| SmallPtrSet<NodeType *, 4> NodesInSCC(NL.begin(), NL.end()); | |
| // We have the set of nodes in the SCC. We go through the set of nodes | |
| // that are outside of the SCC and look for edges that cross the two sets. | |
| for (NodeType *N : Graph) { | |
| // Skip the SCC node and all the nodes inside of it. | |
| if (*N == PiNode || NodesInSCC.count(N)) | |
| continue; | |
| enum Direction { | |
| Incoming, // Incoming edges to the SCC | |
| Outgoing, // Edges going ot of the SCC | |
| DirectionCount // To make the enum usable as an array index. | |
| }; | |
| // Use these flags to help us avoid creating redundant edges. If there | |
| // are more than one edges from an outside node to inside nodes, we only | |
| // keep one edge from that node to the pi-block node. Similarly, if | |
| // there are more than one edges from inside nodes to an outside node, | |
| // we only keep one edge from the pi-block node to the outside node. | |
| // There is a flag defined for each direction (incoming vs outgoing) and | |
| // for each type of edge supported, using a two-dimensional boolean | |
| // array. | |
| using EdgeKind = typename EdgeType::EdgeKind; | |
| EnumeratedArray<bool, EdgeKind> EdgeAlreadyCreated[DirectionCount]{false, | |
| false}; | |
| auto createEdgeOfKind = [this](NodeType &Src, NodeType &Dst, | |
| const EdgeKind K) { | |
| switch (K) { | |
| case EdgeKind::RegisterDefUse: | |
| createDefUseEdge(Src, Dst); | |
| break; | |
| case EdgeKind::MemoryDependence: | |
| createMemoryEdge(Src, Dst); | |
| break; | |
| case EdgeKind::Rooted: | |
| createRootedEdge(Src, Dst); | |
| break; | |
| default: | |
| llvm_unreachable("Unsupported type of edge."); | |
| } | |
| }; | |
| auto reconnectEdges = [&](NodeType *Src, NodeType *Dst, NodeType *New, | |
| const Direction Dir) { | |
| if (!Src->hasEdgeTo(*Dst)) | |
| return; | |
| LLVM_DEBUG( | |
| dbgs() << "reconnecting(" | |
| << (Dir == Direction::Incoming ? "incoming)" : "outgoing)") | |
| << ":\nSrc:" << *Src << "\nDst:" << *Dst << "\nNew:" << *New | |
| << "\n"); | |
| assert((Dir == Direction::Incoming || Dir == Direction::Outgoing) && | |
| "Invalid direction."); | |
| SmallVector<EdgeType *, 10> EL; | |
| Src->findEdgesTo(*Dst, EL); | |
| for (EdgeType *OldEdge : EL) { | |
| EdgeKind Kind = OldEdge->getKind(); | |
| if (!EdgeAlreadyCreated[Dir][Kind]) { | |
| if (Dir == Direction::Incoming) { | |
| createEdgeOfKind(*Src, *New, Kind); | |
| LLVM_DEBUG(dbgs() << "created edge from Src to New.\n"); | |
| } else if (Dir == Direction::Outgoing) { | |
| createEdgeOfKind(*New, *Dst, Kind); | |
| LLVM_DEBUG(dbgs() << "created edge from New to Dst.\n"); | |
| } | |
| EdgeAlreadyCreated[Dir][Kind] = true; | |
| } | |
| Src->removeEdge(*OldEdge); | |
| destroyEdge(*OldEdge); | |
| LLVM_DEBUG(dbgs() << "removed old edge between Src and Dst.\n\n"); | |
| } | |
| }; | |
| for (NodeType *SCCNode : NL) { | |
| // Process incoming edges incident to the pi-block node. | |
| reconnectEdges(N, SCCNode, &PiNode, Direction::Incoming); | |
| // Process edges that are coming out of the pi-block node. | |
| reconnectEdges(SCCNode, N, &PiNode, Direction::Outgoing); | |
| } | |
| } | |
| } | |
| // Ordinal maps are no longer needed. | |
| InstOrdinalMap.clear(); | |
| NodeOrdinalMap.clear(); | |
| LLVM_DEBUG(dbgs() << "==== End of Creation of Pi-Blocks ===\n"); | |
| } | |
| template <class G> void AbstractDependenceGraphBuilder<G>::createDefUseEdges() { | |
| for (NodeType *N : Graph) { | |
| InstructionListType SrcIList; | |
| N->collectInstructions([](const Instruction *I) { return true; }, SrcIList); | |
| // Use a set to mark the targets that we link to N, so we don't add | |
| // duplicate def-use edges when more than one instruction in a target node | |
| // use results of instructions that are contained in N. | |
| SmallPtrSet<NodeType *, 4> VisitedTargets; | |
| for (Instruction *II : SrcIList) { | |
| for (User *U : II->users()) { | |
| Instruction *UI = dyn_cast<Instruction>(U); | |
| if (!UI) | |
| continue; | |
| NodeType *DstNode = nullptr; | |
| if (IMap.find(UI) != IMap.end()) | |
| DstNode = IMap.find(UI)->second; | |
| // In the case of loops, the scope of the subgraph is all the | |
| // basic blocks (and instructions within them) belonging to the loop. We | |
| // simply ignore all the edges coming from (or going into) instructions | |
| // or basic blocks outside of this range. | |
| if (!DstNode) { | |
| LLVM_DEBUG( | |
| dbgs() | |
| << "skipped def-use edge since the sink" << *UI | |
| << " is outside the range of instructions being considered.\n"); | |
| continue; | |
| } | |
| // Self dependencies are ignored because they are redundant and | |
| // uninteresting. | |
| if (DstNode == N) { | |
| LLVM_DEBUG(dbgs() | |
| << "skipped def-use edge since the sink and the source (" | |
| << N << ") are the same.\n"); | |
| continue; | |
| } | |
| if (VisitedTargets.insert(DstNode).second) { | |
| createDefUseEdge(*N, *DstNode); | |
| ++TotalDefUseEdges; | |
| } | |
| } | |
| } | |
| } | |
| } | |
| template <class G> | |
| void AbstractDependenceGraphBuilder<G>::createMemoryDependencyEdges() { | |
| using DGIterator = typename G::iterator; | |
| auto isMemoryAccess = [](const Instruction *I) { | |
| return I->mayReadOrWriteMemory(); | |
| }; | |
| for (DGIterator SrcIt = Graph.begin(), E = Graph.end(); SrcIt != E; ++SrcIt) { | |
| InstructionListType SrcIList; | |
| (*SrcIt)->collectInstructions(isMemoryAccess, SrcIList); | |
| if (SrcIList.empty()) | |
| continue; | |
| for (DGIterator DstIt = SrcIt; DstIt != E; ++DstIt) { | |
| if (**SrcIt == **DstIt) | |
| continue; | |
| InstructionListType DstIList; | |
| (*DstIt)->collectInstructions(isMemoryAccess, DstIList); | |
| if (DstIList.empty()) | |
| continue; | |
| bool ForwardEdgeCreated = false; | |
| bool BackwardEdgeCreated = false; | |
| for (Instruction *ISrc : SrcIList) { | |
| for (Instruction *IDst : DstIList) { | |
| auto D = DI.depends(ISrc, IDst, true); | |
| if (!D) | |
| continue; | |
| // If we have a dependence with its left-most non-'=' direction | |
| // being '>' we need to reverse the direction of the edge, because | |
| // the source of the dependence cannot occur after the sink. For | |
| // confused dependencies, we will create edges in both directions to | |
| // represent the possibility of a cycle. | |
| auto createConfusedEdges = [&](NodeType &Src, NodeType &Dst) { | |
| if (!ForwardEdgeCreated) { | |
| createMemoryEdge(Src, Dst); | |
| ++TotalMemoryEdges; | |
| } | |
| if (!BackwardEdgeCreated) { | |
| createMemoryEdge(Dst, Src); | |
| ++TotalMemoryEdges; | |
| } | |
| ForwardEdgeCreated = BackwardEdgeCreated = true; | |
| ++TotalConfusedEdges; | |
| }; | |
| auto createForwardEdge = [&](NodeType &Src, NodeType &Dst) { | |
| if (!ForwardEdgeCreated) { | |
| createMemoryEdge(Src, Dst); | |
| ++TotalMemoryEdges; | |
| } | |
| ForwardEdgeCreated = true; | |
| }; | |
| auto createBackwardEdge = [&](NodeType &Src, NodeType &Dst) { | |
| if (!BackwardEdgeCreated) { | |
| createMemoryEdge(Dst, Src); | |
| ++TotalMemoryEdges; | |
| } | |
| BackwardEdgeCreated = true; | |
| }; | |
| if (D->isConfused()) | |
| createConfusedEdges(**SrcIt, **DstIt); | |
| else if (D->isOrdered() && !D->isLoopIndependent()) { | |
| bool ReversedEdge = false; | |
| for (unsigned Level = 1; Level <= D->getLevels(); ++Level) { | |
| if (D->getDirection(Level) == Dependence::DVEntry::EQ) | |
| continue; | |
| else if (D->getDirection(Level) == Dependence::DVEntry::GT) { | |
| createBackwardEdge(**SrcIt, **DstIt); | |
| ReversedEdge = true; | |
| ++TotalEdgeReversals; | |
| break; | |
| } else if (D->getDirection(Level) == Dependence::DVEntry::LT) | |
| break; | |
| else { | |
| createConfusedEdges(**SrcIt, **DstIt); | |
| break; | |
| } | |
| } | |
| if (!ReversedEdge) | |
| createForwardEdge(**SrcIt, **DstIt); | |
| } else | |
| createForwardEdge(**SrcIt, **DstIt); | |
| // Avoid creating duplicate edges. | |
| if (ForwardEdgeCreated && BackwardEdgeCreated) | |
| break; | |
| } | |
| // If we've created edges in both directions, there is no more | |
| // unique edge that we can create between these two nodes, so we | |
| // can exit early. | |
| if (ForwardEdgeCreated && BackwardEdgeCreated) | |
| break; | |
| } | |
| } | |
| } | |
| } | |
| template <class G> void AbstractDependenceGraphBuilder<G>::simplify() { | |
| if (!shouldSimplify()) | |
| return; | |
| LLVM_DEBUG(dbgs() << "==== Start of Graph Simplification ===\n"); | |
| // This algorithm works by first collecting a set of candidate nodes that have | |
| // an out-degree of one (in terms of def-use edges), and then ignoring those | |
| // whose targets have an in-degree more than one. Each node in the resulting | |
| // set can then be merged with its corresponding target and put back into the | |
| // worklist until no further merge candidates are available. | |
| SmallPtrSet<NodeType *, 32> CandidateSourceNodes; | |
| // A mapping between nodes and their in-degree. To save space, this map | |
| // only contains nodes that are targets of nodes in the CandidateSourceNodes. | |
| DenseMap<NodeType *, unsigned> TargetInDegreeMap; | |
| for (NodeType *N : Graph) { | |
| if (N->getEdges().size() != 1) | |
| continue; | |
| EdgeType &Edge = N->back(); | |
| if (!Edge.isDefUse()) | |
| continue; | |
| CandidateSourceNodes.insert(N); | |
| // Insert an element into the in-degree map and initialize to zero. The | |
| // count will get updated in the next step. | |
| TargetInDegreeMap.insert({&Edge.getTargetNode(), 0}); | |
| } | |
| LLVM_DEBUG({ | |
| dbgs() << "Size of candidate src node list:" << CandidateSourceNodes.size() | |
| << "\nNode with single outgoing def-use edge:\n"; | |
| for (NodeType *N : CandidateSourceNodes) { | |
| dbgs() << N << "\n"; | |
| } | |
| }); | |
| for (NodeType *N : Graph) { | |
| for (EdgeType *E : *N) { | |
| NodeType *Tgt = &E->getTargetNode(); | |
| auto TgtIT = TargetInDegreeMap.find(Tgt); | |
| if (TgtIT != TargetInDegreeMap.end()) | |
| ++(TgtIT->second); | |
| } | |
| } | |
| LLVM_DEBUG({ | |
| dbgs() << "Size of target in-degree map:" << TargetInDegreeMap.size() | |
| << "\nContent of in-degree map:\n"; | |
| for (auto &I : TargetInDegreeMap) { | |
| dbgs() << I.first << " --> " << I.second << "\n"; | |
| } | |
| }); | |
| SmallVector<NodeType *, 32> Worklist(CandidateSourceNodes.begin(), | |
| CandidateSourceNodes.end()); | |
| while (!Worklist.empty()) { | |
| NodeType &Src = *Worklist.pop_back_val(); | |
| // As nodes get merged, we need to skip any node that has been removed from | |
| // the candidate set (see below). | |
| if (!CandidateSourceNodes.erase(&Src)) | |
| continue; | |
| assert(Src.getEdges().size() == 1 && | |
| "Expected a single edge from the candidate src node."); | |
| NodeType &Tgt = Src.back().getTargetNode(); | |
| assert(TargetInDegreeMap.find(&Tgt) != TargetInDegreeMap.end() && | |
| "Expected target to be in the in-degree map."); | |
| if (TargetInDegreeMap[&Tgt] != 1) | |
| continue; | |
| if (!areNodesMergeable(Src, Tgt)) | |
| continue; | |
| // Do not merge if there is also an edge from target to src (immediate | |
| // cycle). | |
| if (Tgt.hasEdgeTo(Src)) | |
| continue; | |
| LLVM_DEBUG(dbgs() << "Merging:" << Src << "\nWith:" << Tgt << "\n"); | |
| mergeNodes(Src, Tgt); | |
| // If the target node is in the candidate set itself, we need to put the | |
| // src node back into the worklist again so it gives the target a chance | |
| // to get merged into it. For example if we have: | |
| // {(a)->(b), (b)->(c), (c)->(d), ...} and the worklist is initially {b, a}, | |
| // then after merging (a) and (b) together, we need to put (a,b) back in | |
| // the worklist so that (c) can get merged in as well resulting in | |
| // {(a,b,c) -> d} | |
| // We also need to remove the old target (b), from the worklist. We first | |
| // remove it from the candidate set here, and skip any item from the | |
| // worklist that is not in the set. | |
| if (CandidateSourceNodes.erase(&Tgt)) { | |
| Worklist.push_back(&Src); | |
| CandidateSourceNodes.insert(&Src); | |
| LLVM_DEBUG(dbgs() << "Putting " << &Src << " back in the worklist.\n"); | |
| } | |
| } | |
| LLVM_DEBUG(dbgs() << "=== End of Graph Simplification ===\n"); | |
| } | |
| template <class G> | |
| void AbstractDependenceGraphBuilder<G>::sortNodesTopologically() { | |
| // If we don't create pi-blocks, then we may not have a DAG. | |
| if (!shouldCreatePiBlocks()) | |
| return; | |
| SmallVector<NodeType *, 64> NodesInPO; | |
| using NodeKind = typename NodeType::NodeKind; | |
| for (NodeType *N : post_order(&Graph)) { | |
| if (N->getKind() == NodeKind::PiBlock) { | |
| // Put members of the pi-block right after the pi-block itself, for | |
| // convenience. | |
| const NodeListType &PiBlockMembers = getNodesInPiBlock(*N); | |
| llvm::append_range(NodesInPO, PiBlockMembers); | |
| } | |
| NodesInPO.push_back(N); | |
| } | |
| size_t OldSize = Graph.Nodes.size(); | |
| Graph.Nodes.clear(); | |
| append_range(Graph.Nodes, reverse(NodesInPO)); | |
| if (Graph.Nodes.size() != OldSize) | |
| assert(false && | |
| "Expected the number of nodes to stay the same after the sort"); | |
| } | |
| template class llvm::AbstractDependenceGraphBuilder<DataDependenceGraph>; | |
| template class llvm::DependenceGraphInfo<DDGNode>; |