--- /dev/null
+=========================
+Dependence Graphs in LLVM
+=========================
+
+.. contents::
+ :local:
+
+Dependence graphs are useful tools in compilers for analyzing relationships
+between various program elements to help guide optimizations. The ideas
+behind these graphs are described in the following two papers:
+
+.. [1] "D. J. Kuck, R. H. Kuhn, D. A. Padua, B. Leasure, and M. Wolfe (1981). DEPENDENCE GRAPHS AND COMPILER OPTIMIZATIONS."
+.. [2] "J. FERRANTE (IBM), K. J. OTTENSTEIN (Michigan Technological University) and JOE D. WARREN (Rice University), 1987. The Program Dependence Graph and Its Use in Optimization."
+
+The implementation of these ideas in LLVM may be slightly different than
+what is mentioned in the papers. These differences are documented in
+the `implementation details <implementation-details_>`_.
+
+.. _DataDependenceGraph:
+
+Data Dependence Graph
+=====================
+In its simplest form the Data Dependence Graph (or DDG) represents data
+dependencies between individual instructions. Each node in such a graph
+represents a single instruction and is referred to as an "atomic" node.
+It is also possible to combine some atomic nodes that have a simple
+def-use dependency between them into larger nodes that contain multiple-
+instructions.
+
+As described in [1]_ the DDG uses graph abstraction to group nodes
+that are part of a strongly connected component of the graph
+into special nodes called pi-blocks. pi-blocks represent cycles of data
+dependency that prevent reordering transformations. Since any strongly
+connected component of the graph is a maximal subgraph of all the nodes
+that form a cycle, pi-blocks are at most one level deep. In other words,
+no pi-blocks are nested inside another pi-block, resulting in a
+hierarchical representation that is at most one level deep.
+
+
+For example, consider the following:
+
+.. code-block:: c++
+
+ for (int i = 1; i < n; i++) {
+ b[i] = c[i] + b[i-1];
+ }
+
+This code contains a statement that has a loop carried dependence on
+itself creating a cycle in the DDG. The figure bellow illustrates
+how the cycle of dependency is carried through multiple def-use relations
+and a memory access dependency.
+
+.. image:: cycle.png
+
+The DDG corresponding to this example would have a pi-block that contains
+all the nodes participating in the cycle, as shown bellow:
+
+.. image:: cycle_pi.png
+
+Program Dependence Graph
+========================
+
+The Program Dependence Graph (or PDG) has a similar structure as the
+DDG, but it is capable of representing both data dependencies and
+control-flow dependencies between program elements such as
+instructions, groups of instructions, basic blocks or groups of
+basic blocks.
+
+High-Level Design
+=================
+
+The DDG and the PDG are both directed graphs and they extend the
+``DirectedGraph`` class. Each implementation extends its corresponding
+node and edge types resulting in the inheritance relationship depicted
+in the UML diagram bellow:
+
+.. image:: uml_nodes_and_edges.png
+
+Graph Construction
+------------------
+
+The graph build algorithm considers dependencies between elements of
+a given set of instructions or basic blocks. Any dependencies coming
+into or going out of instructions that do not belong to that range
+are ignored. The steps in the build algorithm for the DDG are very
+similar to the steps in the build algorithm for the PDG. As such,
+one of the design goals is to reuse the build algorithm code to
+allow creation of both DDG and PDG representations while allowing
+the two implementations to define their own distinct and independent
+node and edge types. This is achieved by using the well-known builder
+design pattern to isolate the construction of the dependence graph
+from its concrete representation.
+
+The following UML diagram depicts the overall structure of the design
+pattern as it applies to the dependence graph implementation.
+
+.. image:: uml_builder_pattern.png
+
+Notice that the common code for building the two types of graphs are
+provided in the ``DependenceGraphBuilder`` class, while the ``DDGBuilder``
+and ``PDGBuilder`` control some aspects of how the graph is constructed
+by the way of overriding virtual methods defined in ``DependenceGraphBuilder``.
+
+Note also that the steps and the names used in this diagram are for
+illustrative purposes and may be different from those in the actual
+implementation.
+
+Design Trade-offs
+-----------------
+
+Advantages:
+^^^^^^^^^^^
+ - Builder allows graph construction code to be reused for DDG and PDG.
+ - Builder allows us to create DDG and PDG as separate graphs.
+ - DDG nodes and edges are completely disjoint from PDG nodes and edges allowing them to change easily and independently.
+
+Disadvantages:
+^^^^^^^^^^^^^^
+ - Builder may be perceived as over-engineering at first.
+ - There are some similarities between DDG nodes and edges compared to PDG nodes and edges, but there is little reuse of the class definitions.
+
+ - This is tolerable given that the node and edge types are fairly simple and there is little code reuse opportunity anyway.
+
+
+.. _implementation-details:
+
+Implementation Details
+======================
+
+The current implementation of DDG differs slightly from the dependence
+graph described in [1]_ in the following ways:
+
+ 1. The graph nodes in the paper represent three main program components, namely *assignment statements*, *for loop headers* and *while loop headers*. In this implementation, DDG nodes naturally represent LLVM IR instructions. An assignment statement in this implementation typically involves a node representing the ``store`` instruction along with a number of individual nodes computing the right-hand-side of the assignment that connect to the ``store`` node via a def-use edge. The loop header instructions are not represented as special nodes in this implementation because they have limited uses and can be easily identified, for example, through ``LoopAnalysis``.
+ 2. The paper describes five types of dependency edges between nodes namely *loop dependency*, *flow-*, *anti-*, *output-*, and *input-* dependencies. In this implementation *memory* edges represent the *flow-*, *anti-*, *output-*, and *input-* dependencies. However, *loop dependencies* are not made explicit, because they mainly represent association between a loop structure and the program elements inside the loop and this association is fairly obvious in LLVM IR itself.
+ 3. The paper describes two types of pi-blocks; *recurrences* whose bodies are SCCs and *IN* nodes whose bodies are not part of any SCC. In this impelmentation, pi-blocks are only created for *recurrences*. *IN* nodes remain as simple DDG nodes in the graph.
SpeculativeLoadHardening\r
StackSafetyAnalysis\r
LoopTerminology\r
+ DataDependenceGraphs\r
\r
:doc:`WritingAnLLVMPass`\r
Information on how to write LLVM transformations and analyses.\r
variables.\r
\r
:doc:`LoopTerminology`\r
- A document describing Loops and associated terms as used in LLVM.
\ No newline at end of file
+ A document describing Loops and associated terms as used in LLVM.\r
+\r
+:doc:`DataDependenceGraphs`\r
+ A description of the design of the DDG (Data Dependence Graph).\r
--- /dev/null
+//===- llvm/Analysis/DDG.h --------------------------------------*- C++ -*-===//
+//
+// 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 defines the Data-Dependence Graph (DDG).
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef LLVM_ANALYSIS_DDG_H
+#define LLVM_ANALYSIS_DDG_H
+
+#include "llvm/ADT/DirectedGraph.h"
+#include "llvm/Analysis/DependenceAnalysis.h"
+#include "llvm/Analysis/DependenceGraphBuilder.h"
+#include "llvm/Analysis/LoopPass.h"
+#include "llvm/IR/Instructions.h"
+#include "llvm/Transforms/Scalar/LoopPassManager.h"
+#include <unordered_map>
+
+namespace llvm {
+class DDGNode;
+class DDGEdge;
+using DDGNodeBase = DGNode<DDGNode, DDGEdge>;
+using DDGEdgeBase = DGEdge<DDGNode, DDGEdge>;
+using DDGBase = DirectedGraph<DDGNode, DDGEdge>;
+
+/// Data Dependence Graph Node
+/// The graph can represent the following types of nodes:
+/// 1. Single instruction node containing just one instruction.
+/// 2. Multiple instruction node where two or more instructions from
+/// the same basic block are merged into one node.
+class DDGNode : public DDGNodeBase {
+public:
+ using InstructionListType = SmallVectorImpl<Instruction *>;
+
+ enum class NodeKind {
+ Unknown,
+ SingleInstruction,
+ MultiInstruction,
+ };
+
+ DDGNode() = delete;
+ DDGNode(const NodeKind K) : DDGNodeBase(), Kind(K) {}
+ DDGNode(const DDGNode &N) : DDGNodeBase(N), Kind(N.Kind) {}
+ DDGNode(DDGNode &&N) : DDGNodeBase(std::move(N)), Kind(N.Kind) {}
+ virtual ~DDGNode() = 0;
+
+ DDGNode &operator=(const DDGNode &N) {
+ DGNode::operator=(N);
+ Kind = N.Kind;
+ return *this;
+ }
+
+ DDGNode &operator=(DDGNode &&N) {
+ DGNode::operator=(std::move(N));
+ Kind = N.Kind;
+ return *this;
+ }
+
+ /// Getter for the kind of this node.
+ NodeKind getKind() const { return Kind; }
+
+ /// Collect a list of instructions, in \p IList, for which predicate \p Pred
+ /// evaluates to true when iterating over instructions of this node. Return
+ /// true if at least one instruction was collected, and false otherwise.
+ bool collectInstructions(llvm::function_ref<bool(Instruction *)> const &Pred,
+ InstructionListType &IList) const;
+
+protected:
+ /// Setter for the kind of this node.
+ void setKind(NodeKind K) { Kind = K; }
+
+private:
+ NodeKind Kind;
+};
+
+/// Subclass of DDGNode representing single or multi-instruction nodes.
+class SimpleDDGNode : public DDGNode {
+public:
+ SimpleDDGNode() = delete;
+ SimpleDDGNode(Instruction &I);
+ SimpleDDGNode(const SimpleDDGNode &N);
+ SimpleDDGNode(SimpleDDGNode &&N);
+ ~SimpleDDGNode();
+
+ SimpleDDGNode &operator=(const SimpleDDGNode &N) {
+ DDGNode::operator=(N);
+ InstList = N.InstList;
+ return *this;
+ }
+
+ SimpleDDGNode &operator=(SimpleDDGNode &&N) {
+ DDGNode::operator=(std::move(N));
+ InstList = std::move(N.InstList);
+ return *this;
+ }
+
+ /// Get the list of instructions in this node.
+ const InstructionListType &getInstructions() const {
+ assert(!InstList.empty() && "Instruction List is empty.");
+ return InstList;
+ }
+ InstructionListType &getInstructions() {
+ return const_cast<InstructionListType &>(
+ static_cast<const SimpleDDGNode *>(this)->getInstructions());
+ }
+
+ /// Get the first/last instruction in the node.
+ Instruction *getFirstInstruction() const { return getInstructions().front(); }
+ Instruction *getLastInstruction() const { return getInstructions().back(); }
+
+ /// Define classof to be able to use isa<>, cast<>, dyn_cast<>, etc.
+ static bool classof(const DDGNode *N) {
+ return N->getKind() == NodeKind::SingleInstruction ||
+ N->getKind() == NodeKind::MultiInstruction;
+ }
+ static bool classof(const SimpleDDGNode *N) { return true; }
+
+private:
+ /// Append the list of instructions in \p Input to this node.
+ void appendInstructions(const InstructionListType &Input) {
+ setKind((InstList.size() == 0 && Input.size() == 1)
+ ? NodeKind::SingleInstruction
+ : NodeKind::MultiInstruction);
+ InstList.insert(InstList.end(), Input.begin(), Input.end());
+ }
+ void appendInstructions(const SimpleDDGNode &Input) {
+ appendInstructions(Input.getInstructions());
+ }
+
+ /// List of instructions associated with a single or multi-instruction node.
+ SmallVector<Instruction *, 2> InstList;
+};
+
+/// Data Dependency Graph Edge.
+/// An edge in the DDG can represent a def-use relationship or
+/// a memory dependence based on the result of DependenceAnalysis.
+class DDGEdge : public DDGEdgeBase {
+public:
+ /// The kind of edge in the DDG
+ enum class EdgeKind { Unknown, RegisterDefUse, MemoryDependence };
+
+ explicit DDGEdge(DDGNode &N) = delete;
+ DDGEdge(DDGNode &N, EdgeKind K) : DDGEdgeBase(N), Kind(K) {}
+ DDGEdge(const DDGEdge &E) : DDGEdgeBase(E), Kind(E.getKind()) {}
+ DDGEdge(DDGEdge &&E) : DDGEdgeBase(std::move(E)), Kind(E.Kind) {}
+ DDGEdge &operator=(const DDGEdge &E) {
+ DDGEdgeBase::operator=(E);
+ Kind = E.Kind;
+ return *this;
+ }
+
+ DDGEdge &operator=(DDGEdge &&E) {
+ DDGEdgeBase::operator=(std::move(E));
+ Kind = E.Kind;
+ return *this;
+ }
+
+ /// Get the edge kind
+ EdgeKind getKind() const { return Kind; };
+
+ /// Return true if this is a def-use edge, and false otherwise.
+ bool isDefUse() const { return Kind == EdgeKind::RegisterDefUse; }
+
+ /// Return true if this is a memory dependence edge, and false otherwise.
+ bool isMemoryDependence() const { return Kind == EdgeKind::MemoryDependence; }
+
+private:
+ EdgeKind Kind;
+};
+
+/// Encapsulate some common data and functionality needed for different
+/// variations of data dependence graphs.
+template <typename NodeType> class DependenceGraphInfo {
+public:
+ using DependenceList = SmallVector<std::unique_ptr<Dependence>, 1>;
+
+ DependenceGraphInfo() = delete;
+ DependenceGraphInfo(const DependenceGraphInfo &G) = delete;
+ DependenceGraphInfo(const std::string &N, const DependenceInfo &DepInfo)
+ : Name(N), DI(DepInfo) {}
+ DependenceGraphInfo(DependenceGraphInfo &&G)
+ : Name(std::move(G.Name)), DI(std::move(G.DI)) {}
+ virtual ~DependenceGraphInfo() {}
+
+ /// Return the label that is used to name this graph.
+ const StringRef getName() const { return Name; }
+
+protected:
+ // Name of the graph.
+ std::string Name;
+
+ // Store a copy of DependenceInfo in the graph, so that individual memory
+ // dependencies don't need to be stored. Instead when the dependence is
+ // queried it is recomputed using @DI.
+ const DependenceInfo DI;
+};
+
+using DDGInfo = DependenceGraphInfo<DDGNode>;
+
+/// Data Dependency Graph
+class DataDependenceGraph : public DDGBase, public DDGInfo {
+ friend class DDGBuilder;
+
+public:
+ using NodeType = DDGNode;
+ using EdgeType = DDGEdge;
+
+ DataDependenceGraph() = delete;
+ DataDependenceGraph(const DataDependenceGraph &G) = delete;
+ DataDependenceGraph(DataDependenceGraph &&G)
+ : DDGBase(std::move(G)), DDGInfo(std::move(G)) {}
+ DataDependenceGraph(Function &F, DependenceInfo &DI);
+ DataDependenceGraph(const Loop &L, DependenceInfo &DI);
+ ~DataDependenceGraph();
+};
+
+/// Concrete implementation of a pure data dependence graph builder. This class
+/// provides custom implementation for the pure-virtual functions used in the
+/// generic dependence graph build algorithm.
+///
+/// For information about time complexity of the build algorithm see the
+/// comments near the declaration of AbstractDependenceGraphBuilder.
+class DDGBuilder : public AbstractDependenceGraphBuilder<DataDependenceGraph> {
+public:
+ DDGBuilder(DataDependenceGraph &G, DependenceInfo &D,
+ const BasicBlockListType &BBs)
+ : AbstractDependenceGraphBuilder(G, D, BBs) {}
+ DDGNode &createFineGrainedNode(Instruction &I) final override {
+ auto *SN = new SimpleDDGNode(I);
+ assert(SN && "Failed to allocate memory for simple DDG node.");
+ Graph.addNode(*SN);
+ return *SN;
+ }
+ DDGEdge &createDefUseEdge(DDGNode &Src, DDGNode &Tgt) final override {
+ auto *E = new DDGEdge(Tgt, DDGEdge::EdgeKind::RegisterDefUse);
+ assert(E && "Failed to allocate memory for edge");
+ Graph.connect(Src, Tgt, *E);
+ return *E;
+ }
+ DDGEdge &createMemoryEdge(DDGNode &Src, DDGNode &Tgt) final override {
+ auto *E = new DDGEdge(Tgt, DDGEdge::EdgeKind::MemoryDependence);
+ assert(E && "Failed to allocate memory for edge");
+ Graph.connect(Src, Tgt, *E);
+ return *E;
+ }
+};
+
+raw_ostream &operator<<(raw_ostream &OS, const DDGNode &N);
+raw_ostream &operator<<(raw_ostream &OS, const DDGNode::NodeKind K);
+raw_ostream &operator<<(raw_ostream &OS, const DDGEdge &E);
+raw_ostream &operator<<(raw_ostream &OS, const DDGEdge::EdgeKind K);
+raw_ostream &operator<<(raw_ostream &OS, const DataDependenceGraph &G);
+
+//===--------------------------------------------------------------------===//
+// DDG Analysis Passes
+//===--------------------------------------------------------------------===//
+
+/// Analysis pass that builds the DDG for a loop.
+class DDGAnalysis : public AnalysisInfoMixin<DDGAnalysis> {
+public:
+ using Result = std::unique_ptr<DataDependenceGraph>;
+ Result run(Loop &L, LoopAnalysisManager &AM, LoopStandardAnalysisResults &AR);
+
+private:
+ friend AnalysisInfoMixin<DDGAnalysis>;
+ static AnalysisKey Key;
+};
+
+/// Textual printer pass for the DDG of a loop.
+class DDGAnalysisPrinterPass : public PassInfoMixin<DDGAnalysisPrinterPass> {
+public:
+ explicit DDGAnalysisPrinterPass(raw_ostream &OS) : OS(OS) {}
+ PreservedAnalyses run(Loop &L, LoopAnalysisManager &AM,
+ LoopStandardAnalysisResults &AR, LPMUpdater &U);
+
+private:
+ raw_ostream &OS;
+};
+
+//===--------------------------------------------------------------------===//
+// GraphTraits specializations for the DDG
+//===--------------------------------------------------------------------===//
+
+/// non-const versions of the grapth trait specializations for DDG
+template <> struct GraphTraits<DDGNode *> {
+ using NodeRef = DDGNode *;
+
+ static DDGNode *DDGGetTargetNode(DGEdge<DDGNode, DDGEdge> *P) {
+ return &P->getTargetNode();
+ }
+
+ // Provide a mapped iterator so that the GraphTrait-based implementations can
+ // find the target nodes without having to explicitly go through the edges.
+ using ChildIteratorType =
+ mapped_iterator<DDGNode::iterator, decltype(&DDGGetTargetNode)>;
+ using ChildEdgeIteratorType = DDGNode::iterator;
+
+ static NodeRef getEntryNode(NodeRef N) { return N; }
+ static ChildIteratorType child_begin(NodeRef N) {
+ return ChildIteratorType(N->begin(), &DDGGetTargetNode);
+ }
+ static ChildIteratorType child_end(NodeRef N) {
+ return ChildIteratorType(N->end(), &DDGGetTargetNode);
+ }
+
+ static ChildEdgeIteratorType child_edge_begin(NodeRef N) {
+ return N->begin();
+ }
+ static ChildEdgeIteratorType child_edge_end(NodeRef N) { return N->end(); }
+};
+
+template <>
+struct GraphTraits<DataDependenceGraph *> : public GraphTraits<DDGNode *> {
+ using nodes_iterator = DataDependenceGraph::iterator;
+ static NodeRef getEntryNode(DataDependenceGraph *DG) { return *DG->begin(); }
+ static nodes_iterator nodes_begin(DataDependenceGraph *DG) {
+ return DG->begin();
+ }
+ static nodes_iterator nodes_end(DataDependenceGraph *DG) { return DG->end(); }
+};
+
+/// const versions of the grapth trait specializations for DDG
+template <> struct GraphTraits<const DDGNode *> {
+ using NodeRef = const DDGNode *;
+
+ static const DDGNode *DDGGetTargetNode(const DGEdge<DDGNode, DDGEdge> *P) {
+ return &P->getTargetNode();
+ }
+
+ // Provide a mapped iterator so that the GraphTrait-based implementations can
+ // find the target nodes without having to explicitly go through the edges.
+ using ChildIteratorType =
+ mapped_iterator<DDGNode::const_iterator, decltype(&DDGGetTargetNode)>;
+ using ChildEdgeIteratorType = DDGNode::const_iterator;
+
+ static NodeRef getEntryNode(NodeRef N) { return N; }
+ static ChildIteratorType child_begin(NodeRef N) {
+ return ChildIteratorType(N->begin(), &DDGGetTargetNode);
+ }
+ static ChildIteratorType child_end(NodeRef N) {
+ return ChildIteratorType(N->end(), &DDGGetTargetNode);
+ }
+
+ static ChildEdgeIteratorType child_edge_begin(NodeRef N) {
+ return N->begin();
+ }
+ static ChildEdgeIteratorType child_edge_end(NodeRef N) { return N->end(); }
+};
+
+template <>
+struct GraphTraits<const DataDependenceGraph *>
+ : public GraphTraits<const DDGNode *> {
+ using nodes_iterator = DataDependenceGraph::const_iterator;
+ static NodeRef getEntryNode(const DataDependenceGraph *DG) {
+ return *DG->begin();
+ }
+ static nodes_iterator nodes_begin(const DataDependenceGraph *DG) {
+ return DG->begin();
+ }
+ static nodes_iterator nodes_end(const DataDependenceGraph *DG) {
+ return DG->end();
+ }
+};
+
+} // namespace llvm
+
+#endif // LLVM_ANALYSIS_DDG_H
--- /dev/null
+//===- llvm/Analysis/DependenceGraphBuilder.h -------------------*- C++ -*-===//
+//
+// 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 defines a builder interface that can be used to populate dependence
+// graphs such as DDG and PDG.
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef LLVM_ANALYSIS_DEPENDENCE_GRAPH_BUILDER_H
+#define LLVM_ANALYSIS_DEPENDENCE_GRAPH_BUILDER_H
+
+#include "llvm/ADT/EquivalenceClasses.h"
+#include "llvm/Analysis/DependenceAnalysis.h"
+#include "llvm/IR/BasicBlock.h"
+#include "llvm/IR/Instructions.h"
+
+namespace llvm {
+
+/// This abstract builder class defines a set of high-level steps for creating
+/// DDG-like graphs. The client code is expected to inherit from this class and
+/// define concrete implementation for each of the pure virtual functions used
+/// in the high-level algorithm.
+template <class GraphType> class AbstractDependenceGraphBuilder {
+protected:
+ using BasicBlockListType = SmallVectorImpl<BasicBlock *>;
+
+private:
+ using NodeType = typename GraphType::NodeType;
+ using EdgeType = typename GraphType::EdgeType;
+
+public:
+ using ClassesType = EquivalenceClasses<BasicBlock *>;
+ using NodeListType = SmallVector<NodeType *, 4>;
+
+ AbstractDependenceGraphBuilder(GraphType &G, DependenceInfo &D,
+ const BasicBlockListType &BBs)
+ : Graph(G), DI(D), BBList(BBs) {}
+ virtual ~AbstractDependenceGraphBuilder() {}
+
+ /// The main entry to the graph construction algorithm. It starts by
+ /// creating nodes in increasing order of granularity and then
+ /// adds def-use and memory edges.
+ ///
+ /// The algorithmic complexity of this implementation is O(V^2 * I^2), where V
+ /// is the number of vertecies (nodes) and I is the number of instructions in
+ /// each node. The total number of instructions, N, is equal to V * I,
+ /// therefore the worst-case time complexity is O(N^2). The average time
+ /// complexity is O((N^2)/2).
+ void populate() {
+ createFineGrainedNodes();
+ createDefUseEdges();
+ createMemoryDependencyEdges();
+ }
+
+ /// Create fine grained nodes. These are typically atomic nodes that
+ /// consist of a single instruction.
+ void createFineGrainedNodes();
+
+ /// Analyze the def-use chains and create edges from the nodes containing
+ /// definitions to the nodes containing the uses.
+ void createDefUseEdges();
+
+ /// Analyze data dependencies that exist between memory loads or stores,
+ /// in the graph nodes and create edges between them.
+ void createMemoryDependencyEdges();
+
+protected:
+ /// Create an atomic node in the graph given a single instruction.
+ virtual NodeType &createFineGrainedNode(Instruction &I) = 0;
+
+ /// Create a def-use edge going from \p Src to \p Tgt.
+ virtual EdgeType &createDefUseEdge(NodeType &Src, NodeType &Tgt) = 0;
+
+ /// Create a memory dependence edge going from \p Src to \p Tgt.
+ virtual EdgeType &createMemoryEdge(NodeType &Src, NodeType &Tgt) = 0;
+
+ /// Deallocate memory of edge \p E.
+ virtual void destroyEdge(EdgeType &E) { delete &E; }
+
+ /// Deallocate memory of node \p N.
+ virtual void destroyNode(NodeType &N) { delete &N; }
+
+ /// Map types to map instructions to nodes used when populating the graph.
+ using InstToNodeMap = DenseMap<Instruction *, NodeType *>;
+
+ /// Reference to the graph that gets built by a concrete implementation of
+ /// this builder.
+ GraphType &Graph;
+
+ /// Dependence information used to create memory dependence edges in the
+ /// graph.
+ DependenceInfo &DI;
+
+ /// The list of basic blocks to consider when building the graph.
+ const BasicBlockListType &BBList;
+
+ /// A mapping from instructions to the corresponding nodes in the graph.
+ InstToNodeMap IMap;
+};
+
+} // namespace llvm
+
+#endif // LLVM_ANALYSIS_DEPENDENCE_GRAPH_BUILDER_H
CostModel.cpp
CodeMetrics.cpp
ConstantFolding.cpp
+ DDG.cpp
Delinearization.cpp
DemandedBits.cpp
DependenceAnalysis.cpp
+ DependenceGraphBuilder.cpp
DivergenceAnalysis.cpp
DomPrinter.cpp
DomTreeUpdater.cpp
--- /dev/null
+//===- DDG.cpp - Data Dependence Graph -------------------------------------==//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+//
+// The implementation for the data dependence graph.
+//===----------------------------------------------------------------------===//
+#include "llvm/Analysis/DDG.h"
+#include "llvm/Analysis/LoopInfo.h"
+
+using namespace llvm;
+
+#define DEBUG_TYPE "ddg"
+
+template class llvm::DGEdge<DDGNode, DDGEdge>;
+template class llvm::DGNode<DDGNode, DDGEdge>;
+template class llvm::DirectedGraph<DDGNode, DDGEdge>;
+
+//===--------------------------------------------------------------------===//
+// DDGNode implementation
+//===--------------------------------------------------------------------===//
+DDGNode::~DDGNode() {}
+
+bool DDGNode::collectInstructions(
+ llvm::function_ref<bool(Instruction *)> const &Pred,
+ InstructionListType &IList) const {
+ assert(IList.empty() && "Expected the IList to be empty on entry.");
+ if (isa<SimpleDDGNode>(this)) {
+ for (auto *I : cast<const SimpleDDGNode>(this)->getInstructions())
+ if (Pred(I))
+ IList.push_back(I);
+ } else
+ llvm_unreachable("unimplemented type of node");
+ return !IList.empty();
+}
+
+raw_ostream &llvm::operator<<(raw_ostream &OS, const DDGNode::NodeKind K) {
+ const char *Out;
+ switch (K) {
+ case DDGNode::NodeKind::SingleInstruction:
+ Out = "single-instruction";
+ break;
+ case DDGNode::NodeKind::MultiInstruction:
+ Out = "multi-instruction";
+ break;
+ case DDGNode::NodeKind::Unknown:
+ Out = "??";
+ break;
+ }
+ OS << Out;
+ return OS;
+}
+
+raw_ostream &llvm::operator<<(raw_ostream &OS, const DDGNode &N) {
+ OS << "Node Address:" << &N << ":" << N.getKind() << "\n";
+ if (isa<SimpleDDGNode>(N)) {
+ OS << " Instructions:\n";
+ for (auto *I : cast<const SimpleDDGNode>(N).getInstructions())
+ OS.indent(2) << *I << "\n";
+ } else
+ llvm_unreachable("unimplemented type of node");
+
+ OS << (N.getEdges().empty() ? " Edges:none!\n" : " Edges:\n");
+ for (auto &E : N.getEdges())
+ OS.indent(2) << *E;
+ return OS;
+}
+
+//===--------------------------------------------------------------------===//
+// SimpleDDGNode implementation
+//===--------------------------------------------------------------------===//
+
+SimpleDDGNode::SimpleDDGNode(Instruction &I)
+ : DDGNode(NodeKind::SingleInstruction), InstList() {
+ assert(InstList.empty() && "Expected empty list.");
+ InstList.push_back(&I);
+}
+
+SimpleDDGNode::SimpleDDGNode(const SimpleDDGNode &N)
+ : DDGNode(N), InstList(N.InstList) {
+ assert(((getKind() == NodeKind::SingleInstruction && InstList.size() == 1) ||
+ (getKind() == NodeKind::MultiInstruction && InstList.size() > 1)) &&
+ "constructing from invalid simple node.");
+}
+
+SimpleDDGNode::SimpleDDGNode(SimpleDDGNode &&N)
+ : DDGNode(std::move(N)), InstList(std::move(N.InstList)) {
+ assert(((getKind() == NodeKind::SingleInstruction && InstList.size() == 1) ||
+ (getKind() == NodeKind::MultiInstruction && InstList.size() > 1)) &&
+ "constructing from invalid simple node.");
+}
+
+SimpleDDGNode::~SimpleDDGNode() { InstList.clear(); }
+
+//===--------------------------------------------------------------------===//
+// DDGEdge implementation
+//===--------------------------------------------------------------------===//
+
+raw_ostream &llvm::operator<<(raw_ostream &OS, const DDGEdge::EdgeKind K) {
+ const char *Out;
+ switch (K) {
+ case DDGEdge::EdgeKind::RegisterDefUse:
+ Out = "def-use";
+ break;
+ case DDGEdge::EdgeKind::MemoryDependence:
+ Out = "memory";
+ break;
+ case DDGEdge::EdgeKind::Unknown:
+ Out = "??";
+ break;
+ }
+ OS << Out;
+ return OS;
+}
+
+raw_ostream &llvm::operator<<(raw_ostream &OS, const DDGEdge &E) {
+ OS << "[" << E.getKind() << "] to " << &E.getTargetNode() << "\n";
+ return OS;
+}
+
+//===--------------------------------------------------------------------===//
+// DataDependenceGraph implementation
+//===--------------------------------------------------------------------===//
+using BasicBlockListType = SmallVector<BasicBlock *, 8>;
+
+DataDependenceGraph::DataDependenceGraph(Function &F, DependenceInfo &D)
+ : DependenceGraphInfo(F.getName().str(), D) {
+ BasicBlockListType BBList;
+ for (auto &BB : F.getBasicBlockList())
+ BBList.push_back(&BB);
+ DDGBuilder(*this, D, BBList).populate();
+}
+
+DataDependenceGraph::DataDependenceGraph(const Loop &L, DependenceInfo &D)
+ : DependenceGraphInfo(Twine(L.getHeader()->getParent()->getName() + "." +
+ L.getHeader()->getName())
+ .str(),
+ D) {
+ BasicBlockListType BBList;
+ for (BasicBlock *BB : L.blocks())
+ BBList.push_back(BB);
+ DDGBuilder(*this, D, BBList).populate();
+}
+
+DataDependenceGraph::~DataDependenceGraph() {
+ for (auto *N : Nodes) {
+ for (auto *E : *N)
+ delete E;
+ delete N;
+ }
+}
+
+raw_ostream &llvm::operator<<(raw_ostream &OS, const DataDependenceGraph &G) {
+ for (auto *Node : G)
+ OS << *Node << "\n";
+ return OS;
+}
+
+//===--------------------------------------------------------------------===//
+// DDG Analysis Passes
+//===--------------------------------------------------------------------===//
+
+/// DDG as a loop pass.
+DDGAnalysis::Result DDGAnalysis::run(Loop &L, LoopAnalysisManager &AM,
+ LoopStandardAnalysisResults &AR) {
+ Function *F = L.getHeader()->getParent();
+ DependenceInfo DI(F, &AR.AA, &AR.SE, &AR.LI);
+ return std::make_unique<DataDependenceGraph>(L, DI);
+}
+AnalysisKey DDGAnalysis::Key;
+
+PreservedAnalyses DDGAnalysisPrinterPass::run(Loop &L, LoopAnalysisManager &AM,
+ LoopStandardAnalysisResults &AR,
+ LPMUpdater &U) {
+ OS << "'DDG' for loop '" << L.getHeader()->getName() << "':\n";
+ OS << *AM.getResult<DDGAnalysis>(L, AR);
+ return PreservedAnalyses::all();
+}
--- /dev/null
+//===- 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/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(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>::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));
+ ++TotalFineGrainedNodes;
+ }
+}
+
+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 llvm::AbstractDependenceGraphBuilder<DataDependenceGraph>;
+template class llvm::DependenceGraphInfo<DDGNode>;
#include "llvm/Analysis/CFLSteensAliasAnalysis.h"
#include "llvm/Analysis/CGSCCPassManager.h"
#include "llvm/Analysis/CallGraph.h"
+#include "llvm/Analysis/DDG.h"
#include "llvm/Analysis/DemandedBits.h"
#include "llvm/Analysis/DependenceAnalysis.h"
#include "llvm/Analysis/DominanceFrontier.h"
#endif
LOOP_ANALYSIS("no-op-loop", NoOpLoopAnalysis())
LOOP_ANALYSIS("access-info", LoopAccessAnalysis())
+LOOP_ANALYSIS("ddg", DDGAnalysis())
LOOP_ANALYSIS("ivusers", IVUsersAnalysis())
LOOP_ANALYSIS("pass-instrumentation", PassInstrumentationAnalysis(PIC))
#undef LOOP_ANALYSIS
LOOP_PASS("unroll-and-jam", LoopUnrollAndJamPass())
LOOP_PASS("unroll-full", LoopFullUnrollPass())
LOOP_PASS("print-access-info", LoopAccessInfoPrinterPass(dbgs()))
+LOOP_PASS("print<ddg>", DDGAnalysisPrinterPass(dbgs()))
LOOP_PASS("print<ivusers>", IVUsersPrinterPass(dbgs()))
LOOP_PASS("print<loop-cache-cost>", LoopCachePrinterPass(dbgs()))
LOOP_PASS("loop-predication", LoopPredicationPass())
--- /dev/null
+; RUN: opt < %s -disable-output "-passes=print<ddg>" 2>&1 | FileCheck %s
+
+; CHECK-LABEL: 'DDG' for loop 'test1.for.body':
+; CHECK: Node Address:[[N1:0x[0-9a-f]*]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %i.02 = phi i64 [ %inc, %test1.for.body ], [ 0, %test1.for.body.preheader ]
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N2:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N3:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N4:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N4]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx = getelementptr inbounds float, float* %b, i64 %i.02
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N5:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N5]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %0 = load float, float* %arrayidx, align 4
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N6:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N7:0x[0-9a-f]*]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %conv = uitofp i64 %n to float
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N6]]
+
+; CHECK: Node Address:[[N6]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %add = fadd float %0, %conv
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N8:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N3]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx1 = getelementptr inbounds float, float* %a, i64 %i.02
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N8]]
+
+; CHECK: Node Address:[[N8]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: store float %add, float* %arrayidx1, align 4
+; CHECK-NEXT: Edges:none!
+
+; CHECK: Node Address:[[N2]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %inc = add i64 %i.02, 1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N9:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N1]]
+
+; CHECK: Node Address:[[N9]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %exitcond = icmp ne i64 %inc, %n
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N10:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N10]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: br i1 %exitcond, label %test1.for.body, label %for.end.loopexit
+; CHECK-NEXT: Edges:none!
+
+;; No memory dependencies.
+;; void test1(unsigned long n, float * restrict a, float * restrict b) {
+;; for (unsigned long i = 0; i < n; i++)
+;; a[i] = b[i] + n;
+;; }
+
+define void @test1(i64 %n, float* noalias %a, float* noalias %b) {
+entry:
+ %exitcond1 = icmp ne i64 0, %n
+ br i1 %exitcond1, label %test1.for.body, label %for.end
+
+test1.for.body: ; preds = %entry, %test1.for.body
+ %i.02 = phi i64 [ %inc, %test1.for.body ], [ 0, %entry ]
+ %arrayidx = getelementptr inbounds float, float* %b, i64 %i.02
+ %0 = load float, float* %arrayidx, align 4
+ %conv = uitofp i64 %n to float
+ %add = fadd float %0, %conv
+ %arrayidx1 = getelementptr inbounds float, float* %a, i64 %i.02
+ store float %add, float* %arrayidx1, align 4
+ %inc = add i64 %i.02, 1
+ %exitcond = icmp ne i64 %inc, %n
+ br i1 %exitcond, label %test1.for.body, label %for.end
+
+for.end: ; preds = %test1.for.body, %entry
+ ret void
+}
+
+
+; CHECK-LABEL: 'DDG' for loop 'test2.for.body':
+; CHECK: Node Address:[[N1:0x[0-9a-f]*]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %i.02 = phi i64 [ %inc, %test2.for.body ], [ 0, %test2.for.body.preheader ]
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N2:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N3:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N4:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N5:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N5]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx = getelementptr inbounds float, float* %b, i64 %i.02
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N6:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N6]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %0 = load float, float* %arrayidx, align 4
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N7:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N4]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx1 = getelementptr inbounds float, float* %a, i64 %i.02
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N8:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N8]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %1 = load float, float* %arrayidx1, align 4
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N7]]
+; CHECK-NEXT: [memory] to [[N9:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N7]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %add = fadd float %0, %1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N9]]
+
+; CHECK: Node Address:[[N3]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx2 = getelementptr inbounds float, float* %a, i64 %i.02
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N9]]
+
+; CHECK: Node Address:[[N9]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: store float %add, float* %arrayidx2, align 4
+; CHECK-NEXT: Edges:none!
+
+; CHECK: Node Address:[[N2]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %inc = add i64 %i.02, 1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N10:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N1]]
+
+; CHECK: Node Address:[[N10]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %exitcond = icmp ne i64 %inc, %n
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N11:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N11]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: br i1 %exitcond, label %test2.for.body, label %for.end.loopexit
+; CHECK-NEXT: Edges:none!
+
+;; Loop-independent memory dependencies.
+;; void test2(unsigned long n, float * restrict a, float * restrict b) {
+;; for (unsigned long i = 0; i < n; i++)
+;; a[i] = b[i] + a[i];
+;; }
+
+define void @test2(i64 %n, float* noalias %a, float* noalias %b) {
+entry:
+ %exitcond1 = icmp ne i64 0, %n
+ br i1 %exitcond1, label %test2.for.body, label %for.end
+
+test2.for.body: ; preds = %entry, %test2.for.body
+ %i.02 = phi i64 [ %inc, %test2.for.body ], [ 0, %entry ]
+ %arrayidx = getelementptr inbounds float, float* %b, i64 %i.02
+ %0 = load float, float* %arrayidx, align 4
+ %arrayidx1 = getelementptr inbounds float, float* %a, i64 %i.02
+ %1 = load float, float* %arrayidx1, align 4
+ %add = fadd float %0, %1
+ %arrayidx2 = getelementptr inbounds float, float* %a, i64 %i.02
+ store float %add, float* %arrayidx2, align 4
+ %inc = add i64 %i.02, 1
+ %exitcond = icmp ne i64 %inc, %n
+ br i1 %exitcond, label %test2.for.body, label %for.end
+
+for.end: ; preds = %test2.for.body, %entry
+ ret void
+}
\ No newline at end of file
--- /dev/null
+; RUN: opt < %s -disable-output "-passes=print<ddg>" 2>&1 | FileCheck %s
+
+; CHECK-LABEL: 'DDG' for loop 'test1.for.body':
+; CHECK: Node Address:[[N1:0x[0-9a-f]*]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %i.02 = phi i64 [ %inc, %test1.for.body ], [ 1, %test1.for.body.preheader ]
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N2:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N3:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N4:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N5:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N5]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx = getelementptr inbounds float, float* %b, i64 %i.02
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N6:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N6]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %0 = load float, float* %arrayidx, align 4
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N7:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N4]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %sub1 = add i64 %i.02, -1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N8:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N8]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx2 = getelementptr inbounds float, float* %a, i64 %sub1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N9:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N9]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %1 = load float, float* %arrayidx2, align 4
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N7]]
+
+; CHECK: Node Address:[[N7]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %add = fadd float %0, %1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N10:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N3]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx3 = getelementptr inbounds float, float* %a, i64 %i.02
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N10]]
+
+; CHECK: Node Address:[[N10]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: store float %add, float* %arrayidx3, align 4
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [memory] to [[N9]]
+
+; CHECK: Node Address:[[N2]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %inc = add i64 %i.02, 1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N11:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N1]]
+
+; CHECK: Node Address:[[N11]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %cmp = icmp ult i64 %inc, %sub
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N12:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N12]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: br i1 %cmp, label %test1.for.body, label %for.end.loopexit
+; CHECK-NEXT: Edges:none!
+
+;; Loop-carried dependence requiring edge-reversal to expose a cycle
+;; in the graph.
+;; void test(unsigned long n, float * restrict a, float * restrict b) {
+;; for (unsigned long i = 1; i < n-1; i++)
+;; a[i] = b[i] + a[i-1];
+;; }
+
+define void @test1(i64 %n, float* noalias %a, float* noalias %b) {
+entry:
+ %sub = add i64 %n, -1
+ %cmp1 = icmp ult i64 1, %sub
+ br i1 %cmp1, label %test1.for.body, label %for.end
+
+test1.for.body: ; preds = %entry, %test1.for.body
+ %i.02 = phi i64 [ %inc, %test1.for.body ], [ 1, %entry ]
+ %arrayidx = getelementptr inbounds float, float* %b, i64 %i.02
+ %0 = load float, float* %arrayidx, align 4
+ %sub1 = add i64 %i.02, -1
+ %arrayidx2 = getelementptr inbounds float, float* %a, i64 %sub1
+ %1 = load float, float* %arrayidx2, align 4
+ %add = fadd float %0, %1
+ %arrayidx3 = getelementptr inbounds float, float* %a, i64 %i.02
+ store float %add, float* %arrayidx3, align 4
+ %inc = add i64 %i.02, 1
+ %cmp = icmp ult i64 %inc, %sub
+ br i1 %cmp, label %test1.for.body, label %for.end
+
+for.end: ; preds = %test1.for.body, %entry
+ ret void
+}
+
+
+; CHECK-LABEL: 'DDG' for loop 'test2.for.body':
+; CHECK: Node Address:[[N1:0x[0-9a-f]*]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %i.02 = phi i64 [ %inc, %test2.for.body ], [ 1, %test2.for.body.preheader ]
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N2:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N3:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N4:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N5:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N5]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx = getelementptr inbounds float, float* %b, i64 %i.02
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N6:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N6]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %0 = load float, float* %arrayidx, align 4
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N7:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N4]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %add1 = add i64 %i.02, 1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N8:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N8]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx2 = getelementptr inbounds float, float* %a, i64 %add1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N9:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N9]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %1 = load float, float* %arrayidx2, align 4
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N7]]
+; CHECK-NEXT: [memory] to [[N10:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N7]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %add = fadd float %0, %1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N10]]
+
+; CHECK: Node Address:[[N3]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx3 = getelementptr inbounds float, float* %a, i64 %i.02
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N10]]
+
+; CHECK: Node Address:[[N10]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: store float %add, float* %arrayidx3, align 4
+; CHECK-NEXT: Edges:none!
+
+; CHECK: Node Address:[[N2]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %inc = add i64 %i.02, 1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N11:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N1]]
+
+; CHECK: Node Address:[[N11]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %cmp = icmp ult i64 %inc, %sub
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N12:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N12]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: br i1 %cmp, label %test2.for.body, label %for.end.loopexit
+; CHECK-NEXT: Edges:none!
+
+
+;; Forward loop-carried dependence *not* causing a cycle.
+;; void test2(unsigned long n, float * restrict a, float * restrict b) {
+;; for (unsigned long i = 1; i < n-1; i++)
+;; a[i] = b[i] + a[i+1];
+;; }
+
+define void @test2(i64 %n, float* noalias %a, float* noalias %b) {
+entry:
+ %sub = add i64 %n, -1
+ %cmp1 = icmp ult i64 1, %sub
+ br i1 %cmp1, label %test2.for.body, label %for.end
+
+test2.for.body: ; preds = %entry, %test2.for.body
+ %i.02 = phi i64 [ %inc, %test2.for.body ], [ 1, %entry ]
+ %arrayidx = getelementptr inbounds float, float* %b, i64 %i.02
+ %0 = load float, float* %arrayidx, align 4
+ %add1 = add i64 %i.02, 1
+ %arrayidx2 = getelementptr inbounds float, float* %a, i64 %add1
+ %1 = load float, float* %arrayidx2, align 4
+ %add = fadd float %0, %1
+ %arrayidx3 = getelementptr inbounds float, float* %a, i64 %i.02
+ store float %add, float* %arrayidx3, align 4
+ %inc = add i64 %i.02, 1
+ %cmp = icmp ult i64 %inc, %sub
+ br i1 %cmp, label %test2.for.body, label %for.end
+
+for.end: ; preds = %test2.for.body, %entry
+ ret void
+}
--- /dev/null
+; RUN: opt < %s -disable-output "-passes=print<ddg>" 2>&1 | FileCheck %s
+
+
+; CHECK-LABEL: 'DDG' for loop 'test1.for.cond1.preheader':
+; CHECK: Node Address:[[N1:0x[0-9a-f]*]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %i.04 = phi i64 [ %inc13, %for.inc12 ], [ 0, %test1.for.cond1.preheader.preheader ]
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N2:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N3:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N4:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N5:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N6:0x[0-9a-f]*]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %sub = add i64 %n, -1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N7:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N8:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N8]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %cmp21 = icmp ult i64 1, %sub
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N9:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N9]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: br i1 %cmp21, label %for.body4.preheader, label %for.inc12
+; CHECK-NEXT: Edges:none!
+
+; CHECK: Node Address:[[N10:0x[0-9a-f]*]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %j.02 = phi i64 [ %inc, %for.body4 ], [ 1, %for.body4.preheader ]
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N11:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N12:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N13:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N14:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N5]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %0 = mul nsw i64 %i.04, %n
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N15:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N15]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx = getelementptr inbounds float, float* %b, i64 %0
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N14]]
+
+; CHECK: Node Address:[[N14]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx5 = getelementptr inbounds float, float* %arrayidx, i64 %j.02
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N16:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N16]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %1 = load float, float* %arrayidx5, align 4
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N17:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N4]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %2 = mul nsw i64 %i.04, %n
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N18:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N18]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx6 = getelementptr inbounds float, float* %a, i64 %2
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N19:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N13]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %sub7 = add i64 %j.02, -1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N19]]
+
+; CHECK: Node Address:[[N19]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx8 = getelementptr inbounds float, float* %arrayidx6, i64 %sub7
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N20:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N20]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %3 = load float, float* %arrayidx8, align 4
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N17]]
+
+; CHECK: Node Address:[[N17]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %add = fadd float %1, %3
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N26:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N3]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %4 = mul nsw i64 %i.04, %n
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N27:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N27]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx10 = getelementptr inbounds float, float* %a, i64 %4
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N12]]
+
+; CHECK: Node Address:[[N12]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx11 = getelementptr inbounds float, float* %arrayidx10, i64 %j.02
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N26]]
+
+; CHECK: Node Address:[[N26]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: store float %add, float* %arrayidx11, align 4
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [memory] to [[N20]]
+
+; CHECK: Node Address:[[N11]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %inc = add i64 %j.02, 1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N7]]
+; CHECK-NEXT: [def-use] to [[N10]]
+
+; CHECK: Node Address:[[N7]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %cmp2 = icmp ult i64 %inc, %sub
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N21:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N21]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: br i1 %cmp2, label %for.body4, label %for.inc12.loopexit
+; CHECK-NEXT: Edges:none!
+
+; CHECK: Node Address:[[N2]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %inc13 = add i64 %i.04, 1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N22:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N1]]
+
+; CHECK: Node Address:[[N22]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %exitcond = icmp ne i64 %inc13, %n
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N23:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N23]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: br i1 %exitcond, label %test1.for.cond1.preheader, label %for.end14.loopexit
+; CHECK-NEXT: Edges:none!
+
+; CHECK: Node Address:[[N24:0x[0-9a-f]*]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: br label %for.body4
+; CHECK-NEXT: Edges:none!
+
+; CHECK: Node Address:[[N25:0x[0-9a-f]*]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: br label %for.inc12
+; CHECK-NEXT: Edges:none!
+
+
+
+;; This test has a cycle.
+;; void test1(unsigned long n, float a[][n], float b[][n]) {
+;; for (unsigned long i = 0; i < n; i++)
+;; for (unsigned long j = 1; j < n-1; j++)
+;; a[i][j] = b[i][j] + a[i][j-1];
+;; }
+
+define void @test1(i64 %n, float* noalias %a, float* noalias %b) {
+entry:
+ %exitcond3 = icmp ne i64 0, %n
+ br i1 %exitcond3, label %test1.for.cond1.preheader, label %for.end14
+
+test1.for.cond1.preheader: ; preds = %entry, %for.inc12
+ %i.04 = phi i64 [ %inc13, %for.inc12 ], [ 0, %entry ]
+ %sub = add i64 %n, -1
+ %cmp21 = icmp ult i64 1, %sub
+ br i1 %cmp21, label %for.body4, label %for.inc12
+
+for.body4: ; preds = %test1.for.cond1.preheader, %for.body4
+ %j.02 = phi i64 [ %inc, %for.body4 ], [ 1, %test1.for.cond1.preheader ]
+ %0 = mul nsw i64 %i.04, %n
+ %arrayidx = getelementptr inbounds float, float* %b, i64 %0
+ %arrayidx5 = getelementptr inbounds float, float* %arrayidx, i64 %j.02
+ %1 = load float, float* %arrayidx5, align 4
+ %2 = mul nsw i64 %i.04, %n
+ %arrayidx6 = getelementptr inbounds float, float* %a, i64 %2
+ %sub7 = add i64 %j.02, -1
+ %arrayidx8 = getelementptr inbounds float, float* %arrayidx6, i64 %sub7
+ %3 = load float, float* %arrayidx8, align 4
+ %add = fadd float %1, %3
+ %4 = mul nsw i64 %i.04, %n
+ %arrayidx10 = getelementptr inbounds float, float* %a, i64 %4
+ %arrayidx11 = getelementptr inbounds float, float* %arrayidx10, i64 %j.02
+ store float %add, float* %arrayidx11, align 4
+ %inc = add i64 %j.02, 1
+ %cmp2 = icmp ult i64 %inc, %sub
+ br i1 %cmp2, label %for.body4, label %for.inc12
+
+for.inc12: ; preds = %for.body4, %test1.for.cond1.preheader
+ %inc13 = add i64 %i.04, 1
+ %exitcond = icmp ne i64 %inc13, %n
+ br i1 %exitcond, label %test1.for.cond1.preheader, label %for.end14
+
+for.end14: ; preds = %for.inc12, %entry
+ ret void
+}
+
+
+
+; CHECK-LABEL: 'DDG' for loop 'test2.for.cond1.preheader':
+; CHECK: Node Address:[[N1:0x[0-9a-f]*]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %i.04 = phi i64 [ %inc13, %for.inc12 ], [ 0, %test2.for.cond1.preheader.preheader ]
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N2:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N3:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N4:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N5:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N6:0x[0-9a-f]*]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %sub = add i64 %n, -1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N7:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N8:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N8]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %cmp21 = icmp ult i64 1, %sub
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N9:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N9]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: br i1 %cmp21, label %for.body4.preheader, label %for.inc12
+; CHECK-NEXT: Edges:none!
+
+; CHECK: Node Address:[[N10:0x[0-9a-f]*]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %j.02 = phi i64 [ %inc, %for.body4 ], [ 1, %for.body4.preheader ]
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N11:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N12:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N13:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N14:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N5]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %0 = mul nsw i64 %i.04, %n
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N15:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N15]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx = getelementptr inbounds float, float* %b, i64 %0
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N14]]
+
+; CHECK: Node Address:[[N14]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx5 = getelementptr inbounds float, float* %arrayidx, i64 %j.02
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N16:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N16]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %1 = load float, float* %arrayidx5, align 4
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N17:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N4]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %2 = mul nsw i64 %i.04, %n
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N18:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N18]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx6 = getelementptr inbounds float, float* %a, i64 %2
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N19:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N13]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %add7 = add i64 %j.02, 1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N19]]
+
+; CHECK: Node Address:[[N19]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx8 = getelementptr inbounds float, float* %arrayidx6, i64 %add7
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N20:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N20]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %3 = load float, float* %arrayidx8, align 4
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N17]]
+; CHECK-NEXT: [memory] to [[N26:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N17]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %add = fadd float %1, %3
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N26]]
+
+; CHECK: Node Address:[[N3]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %4 = mul nsw i64 %i.04, %n
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N27:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N27]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx10 = getelementptr inbounds float, float* %a, i64 %4
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N12]]
+
+; CHECK: Node Address:[[N12]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %arrayidx11 = getelementptr inbounds float, float* %arrayidx10, i64 %j.02
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N26]]
+
+; CHECK: Node Address:[[N26]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: store float %add, float* %arrayidx11, align 4
+; CHECK-NEXT: Edges:none!
+
+; CHECK: Node Address:[[N11]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %inc = add i64 %j.02, 1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N7]]
+; CHECK-NEXT: [def-use] to [[N10]]
+
+; CHECK: Node Address:[[N7]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %cmp2 = icmp ult i64 %inc, %sub
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N21:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N21]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: br i1 %cmp2, label %for.body4, label %for.inc12.loopexit
+; CHECK-NEXT: Edges:none!
+
+; CHECK: Node Address:[[N2]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %inc13 = add i64 %i.04, 1
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N22:0x[0-9a-f]*]]
+; CHECK-NEXT: [def-use] to [[N1]]
+
+; CHECK: Node Address:[[N22]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: %exitcond = icmp ne i64 %inc13, %n
+; CHECK-NEXT: Edges:
+; CHECK-NEXT: [def-use] to [[N23:0x[0-9a-f]*]]
+
+; CHECK: Node Address:[[N23]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: br i1 %exitcond, label %test2.for.cond1.preheader, label %for.end14.loopexit
+; CHECK-NEXT: Edges:none!
+
+; CHECK: Node Address:[[N24:0x[0-9a-f]*]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: br label %for.body4
+; CHECK-NEXT: Edges:none!
+
+; CHECK: Node Address:[[N25:0x[0-9a-f]*]]:single-instruction
+; CHECK-NEXT: Instructions:
+; CHECK-NEXT: br label %for.inc12
+; CHECK-NEXT: Edges:none!
+
+;; This test has no cycles.
+;; void test2(unsigned long n, float a[][n], float b[][n]) {
+;; for (unsigned long i = 0; i < n; i++)
+;; for (unsigned long j = 1; j < n-1; j++)
+;; a[i][j] = b[i][j] + a[i][j+1];
+;; }
+
+define void @test2(i64 %n, float* noalias %a, float* noalias %b) {
+entry:
+ %exitcond3 = icmp ne i64 0, %n
+ br i1 %exitcond3, label %test2.for.cond1.preheader, label %for.end14
+
+test2.for.cond1.preheader: ; preds = %entry, %for.inc12
+ %i.04 = phi i64 [ %inc13, %for.inc12 ], [ 0, %entry ]
+ %sub = add i64 %n, -1
+ %cmp21 = icmp ult i64 1, %sub
+ br i1 %cmp21, label %for.body4, label %for.inc12
+
+for.body4: ; preds = %test2.for.cond1.preheader, %for.body4
+ %j.02 = phi i64 [ %inc, %for.body4 ], [ 1, %test2.for.cond1.preheader ]
+ %0 = mul nsw i64 %i.04, %n
+ %arrayidx = getelementptr inbounds float, float* %b, i64 %0
+ %arrayidx5 = getelementptr inbounds float, float* %arrayidx, i64 %j.02
+ %1 = load float, float* %arrayidx5, align 4
+ %2 = mul nsw i64 %i.04, %n
+ %arrayidx6 = getelementptr inbounds float, float* %a, i64 %2
+ %add7 = add i64 %j.02, 1
+ %arrayidx8 = getelementptr inbounds float, float* %arrayidx6, i64 %add7
+ %3 = load float, float* %arrayidx8, align 4
+ %add = fadd float %1, %3
+ %4 = mul nsw i64 %i.04, %n
+ %arrayidx10 = getelementptr inbounds float, float* %a, i64 %4
+ %arrayidx11 = getelementptr inbounds float, float* %arrayidx10, i64 %j.02
+ store float %add, float* %arrayidx11, align 4
+ %inc = add i64 %j.02, 1
+ %cmp2 = icmp ult i64 %inc, %sub
+ br i1 %cmp2, label %for.body4, label %for.inc12
+
+for.inc12: ; preds = %for.body4, %test2.for.cond1.preheader
+ %inc13 = add i64 %i.04, 1
+ %exitcond = icmp ne i64 %inc13, %n
+ br i1 %exitcond, label %test2.for.cond1.preheader, label %for.end14
+
+for.end14: ; preds = %for.inc12, %entry
+ ret void
+}
\ No newline at end of file