From 12d9e4e26925559a73ed082ce47b32659f445668 Mon Sep 17 00:00:00 2001
From: Bardia Mahjour <bmahjour@ca.ibm.com>
Date: Wed, 18 Sep 2019 17:43:45 +0000
Subject: [PATCH] Data Dependence Graph Basics

Summary:
This is the first patch in a series of patches that will implement data dependence graph in LLVM. Many of the ideas used in this implementation are based on the following paper:
D. J. Kuck, R. H. Kuhn, D. A. Padua, B. Leasure, and M. Wolfe (1981). DEPENDENCE GRAPHS AND COMPILER OPTIMIZATIONS.
This patch contains support for a basic DDGs containing only atomic nodes (one node for each instruction). The edges are two fold: def-use edges and memory-dependence edges.
The implementation takes a list of basic-blocks and only considers dependencies among instructions in those basic blocks. Any dependencies coming into or going out of instructions that do not belong to those basic blocks are ignored.

The algorithm for building the graph involves the following steps in order:

  1. For each instruction in the range of basic blocks to consider, create an atomic node in the resulting graph.
  2. For each node in the graph establish def-use edges to/from other nodes in the graph.
  3. For each pair of nodes containing memory instruction(s) create memory edges between them. This part of the algorithm goes through the instructions in lexicographical order and creates edges in reverse order if the sink of the dependence occurs before the source of it.

Authored By: bmahjour

Reviewer: Meinersbur, fhahn, myhsu, xtian, dmgreen, kbarton, jdoerfert

Reviewed By: Meinersbur, fhahn, myhsu

Subscribers: ychen, arphaman, simoll, a.elovikov, mgorny, hiraditya, jfb, wuzish, llvm-commits, jsji, Whitney, etiotto

Tag: #llvm

Differential Revision: https://reviews.llvm.org/D65350

llvm-svn: 372238
---
 docs/DependenceGraphs/cycle.png               | Bin 0 -> 46831 bytes
 docs/DependenceGraphs/cycle_pi.png            | Bin 0 -> 47148 bytes
 docs/DependenceGraphs/index.rst               | 140 ++++++
 docs/DependenceGraphs/uml_builder_pattern.png | Bin 0 -> 77125 bytes
 docs/DependenceGraphs/uml_nodes_and_edges.png | Bin 0 -> 51501 bytes
 docs/SubsystemDocumentation.rst               |   7 +-
 include/llvm/Analysis/DDG.h                   | 372 +++++++++++++++
 .../llvm/Analysis/DependenceGraphBuilder.h    | 108 +++++
 lib/Analysis/CMakeLists.txt                   |   2 +
 lib/Analysis/DDG.cpp                          | 181 ++++++++
 lib/Analysis/DependenceGraphBuilder.cpp       | 200 ++++++++
 lib/Passes/PassBuilder.cpp                    |   1 +
 lib/Passes/PassRegistry.def                   |   2 +
 test/Analysis/DDG/basic-a.ll                  | 189 ++++++++
 test/Analysis/DDG/basic-b.ll                  | 216 +++++++++
 test/Analysis/DDG/basic-loopnest.ll           | 434 ++++++++++++++++++
 16 files changed, 1851 insertions(+), 1 deletion(-)
 create mode 100644 docs/DependenceGraphs/cycle.png
 create mode 100644 docs/DependenceGraphs/cycle_pi.png
 create mode 100644 docs/DependenceGraphs/index.rst
 create mode 100644 docs/DependenceGraphs/uml_builder_pattern.png
 create mode 100644 docs/DependenceGraphs/uml_nodes_and_edges.png
 create mode 100644 include/llvm/Analysis/DDG.h
 create mode 100644 include/llvm/Analysis/DependenceGraphBuilder.h
 create mode 100644 lib/Analysis/DDG.cpp
 create mode 100644 lib/Analysis/DependenceGraphBuilder.cpp
 create mode 100644 test/Analysis/DDG/basic-a.ll
 create mode 100644 test/Analysis/DDG/basic-b.ll
 create mode 100644 test/Analysis/DDG/basic-loopnest.ll

diff --git a/docs/DependenceGraphs/cycle.png b/docs/DependenceGraphs/cycle.png
new file mode 100644
index 0000000000000000000000000000000000000000..8099c4166544db1feb39508cb66f8f35bcddb89f
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diff --git a/docs/DependenceGraphs/index.rst b/docs/DependenceGraphs/index.rst
new file mode 100644
index 00000000000..c53ee9051d5
--- /dev/null
+++ b/docs/DependenceGraphs/index.rst
@@ -0,0 +1,140 @@
+=========================
+Dependence Graphs in LLVM
+=========================
+
+.. contents::
+   :local:
+
+Introduction
+============
+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 papers [1]_ and [2]_.
+
+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.
+
+
+References
+----------
+.. [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."
diff --git a/docs/DependenceGraphs/uml_builder_pattern.png b/docs/DependenceGraphs/uml_builder_pattern.png
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diff --git a/docs/SubsystemDocumentation.rst b/docs/SubsystemDocumentation.rst
index 005d541ceb3..8dbdf8f1a09 100644
--- a/docs/SubsystemDocumentation.rst
+++ b/docs/SubsystemDocumentation.rst
@@ -55,6 +55,7 @@ For API clients and LLVM developers.
    SpeculativeLoadHardening
    StackSafetyAnalysis
    LoopTerminology
+   DependenceGraphs/index
 
 :doc:`WritingAnLLVMPass`
    Information on how to write LLVM transformations and analyses.
@@ -207,4 +208,8 @@ For API clients and LLVM developers.
   variables.
 
 :doc:`LoopTerminology`
-  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.
+
+:doc:`Dependence Graphs <DependenceGraphs/index>`
+  A description of the design of the various dependence graphs such as
+  the DDG (Data Dependence Graph).
diff --git a/include/llvm/Analysis/DDG.h b/include/llvm/Analysis/DDG.h
new file mode 100644
index 00000000000..9f28c3178fc
--- /dev/null
+++ b/include/llvm/Analysis/DDG.h
@@ -0,0 +1,372 @@
+//===- 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
diff --git a/include/llvm/Analysis/DependenceGraphBuilder.h b/include/llvm/Analysis/DependenceGraphBuilder.h
new file mode 100644
index 00000000000..b61aeb645a5
--- /dev/null
+++ b/include/llvm/Analysis/DependenceGraphBuilder.h
@@ -0,0 +1,108 @@
+//===- 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
diff --git a/lib/Analysis/CMakeLists.txt b/lib/Analysis/CMakeLists.txt
index 1dc9544120e..3d4920e5ead 100644
--- a/lib/Analysis/CMakeLists.txt
+++ b/lib/Analysis/CMakeLists.txt
@@ -22,9 +22,11 @@ add_llvm_library(LLVMAnalysis
   CostModel.cpp
   CodeMetrics.cpp
   ConstantFolding.cpp
+  DDG.cpp
   Delinearization.cpp
   DemandedBits.cpp
   DependenceAnalysis.cpp
+  DependenceGraphBuilder.cpp
   DivergenceAnalysis.cpp
   DomPrinter.cpp
   DomTreeUpdater.cpp
diff --git a/lib/Analysis/DDG.cpp b/lib/Analysis/DDG.cpp
new file mode 100644
index 00000000000..29778b3e0d6
--- /dev/null
+++ b/lib/Analysis/DDG.cpp
@@ -0,0 +1,181 @@
+//===- 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();
+}
diff --git a/lib/Analysis/DependenceGraphBuilder.cpp b/lib/Analysis/DependenceGraphBuilder.cpp
new file mode 100644
index 00000000000..ed21cc7134f
--- /dev/null
+++ b/lib/Analysis/DependenceGraphBuilder.cpp
@@ -0,0 +1,200 @@
+//===- 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>;
diff --git a/lib/Passes/PassBuilder.cpp b/lib/Passes/PassBuilder.cpp
index 460992207e6..12c4dcb86ce 100644
--- a/lib/Passes/PassBuilder.cpp
+++ b/lib/Passes/PassBuilder.cpp
@@ -27,6 +27,7 @@
 #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"
diff --git a/lib/Passes/PassRegistry.def b/lib/Passes/PassRegistry.def
index b943e9c75ed..4cd05ee11f6 100644
--- a/lib/Passes/PassRegistry.def
+++ b/lib/Passes/PassRegistry.def
@@ -281,6 +281,7 @@ FUNCTION_PASS_WITH_PARAMS("mldst-motion",
 #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
@@ -303,6 +304,7 @@ LOOP_PASS("irce", IRCEPass())
 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())
diff --git a/test/Analysis/DDG/basic-a.ll b/test/Analysis/DDG/basic-a.ll
new file mode 100644
index 00000000000..4c05259a886
--- /dev/null
+++ b/test/Analysis/DDG/basic-a.ll
@@ -0,0 +1,189 @@
+; 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
diff --git a/test/Analysis/DDG/basic-b.ll b/test/Analysis/DDG/basic-b.ll
new file mode 100644
index 00000000000..2a90d028a6f
--- /dev/null
+++ b/test/Analysis/DDG/basic-b.ll
@@ -0,0 +1,216 @@
+; 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
+}
diff --git a/test/Analysis/DDG/basic-loopnest.ll b/test/Analysis/DDG/basic-loopnest.ll
new file mode 100644
index 00000000000..a2abbf8c09b
--- /dev/null
+++ b/test/Analysis/DDG/basic-loopnest.ll
@@ -0,0 +1,434 @@
+; 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