1 //===-- Analysis/CFG.h - BasicBlock Analyses --------------------*- C++ -*-===//
2 //
3 //                     The LLVM Compiler Infrastructure
4 //
5 // This file is distributed under the University of Illinois Open Source
6 // License. See LICENSE.TXT for details.
7 //
8 //===----------------------------------------------------------------------===//
9 //
10 // This family of functions performs analyses on basic blocks, and instructions
11 // contained within basic blocks.
12 //
13 //===----------------------------------------------------------------------===//
14 
15 #ifndef LLVM_ANALYSIS_CFG_H
16 #define LLVM_ANALYSIS_CFG_H
17 
18 #include "llvm/IR/BasicBlock.h"
19 #include "llvm/IR/CFG.h"
20 
21 namespace llvm {
22 
23 class BasicBlock;
24 class DominatorTree;
25 class Function;
26 class Instruction;
27 class LoopInfo;
28 class TerminatorInst;
29 
30 /// Analyze the specified function to find all of the loop backedges in the
31 /// function and return them.  This is a relatively cheap (compared to
32 /// computing dominators and loop info) analysis.
33 ///
34 /// The output is added to Result, as pairs of <from,to> edge info.
35 void FindFunctionBackedges(
36     const Function &F,
37     SmallVectorImpl<std::pair<const BasicBlock *, const BasicBlock *> > &
38         Result);
39 
40 /// Search for the specified successor of basic block BB and return its position
41 /// in the terminator instruction's list of successors.  It is an error to call
42 /// this with a block that is not a successor.
43 unsigned GetSuccessorNumber(const BasicBlock *BB, const BasicBlock *Succ);
44 
45 /// Return true if the specified edge is a critical edge. Critical edges are
46 /// edges from a block with multiple successors to a block with multiple
47 /// predecessors.
48 ///
49 bool isCriticalEdge(const TerminatorInst *TI, unsigned SuccNum,
50                     bool AllowIdenticalEdges = false);
51 
52 /// Determine whether instruction 'To' is reachable from 'From',
53 /// returning true if uncertain.
54 ///
55 /// Determine whether there is a path from From to To within a single function.
56 /// Returns false only if we can prove that once 'From' has been executed then
57 /// 'To' can not be executed. Conservatively returns true.
58 ///
59 /// This function is linear with respect to the number of blocks in the CFG,
60 /// walking down successors from From to reach To, with a fixed threshold.
61 /// Using DT or LI allows us to answer more quickly. LI reduces the cost of
62 /// an entire loop of any number of blocks to be the same as the cost of a
63 /// single block. DT reduces the cost by allowing the search to terminate when
64 /// we find a block that dominates the block containing 'To'. DT is most useful
65 /// on branchy code but not loops, and LI is most useful on code with loops but
66 /// does not help on branchy code outside loops.
67 bool isPotentiallyReachable(const Instruction *From, const Instruction *To,
68                             const DominatorTree *DT = nullptr,
69                             const LoopInfo *LI = nullptr);
70 
71 /// Determine whether block 'To' is reachable from 'From', returning
72 /// true if uncertain.
73 ///
74 /// Determine whether there is a path from From to To within a single function.
75 /// Returns false only if we can prove that once 'From' has been reached then
76 /// 'To' can not be executed. Conservatively returns true.
77 bool isPotentiallyReachable(const BasicBlock *From, const BasicBlock *To,
78                             const DominatorTree *DT = nullptr,
79                             const LoopInfo *LI = nullptr);
80 
81 /// Determine whether there is at least one path from a block in
82 /// 'Worklist' to 'StopBB', returning true if uncertain.
83 ///
84 /// Determine whether there is a path from at least one block in Worklist to
85 /// StopBB within a single function. Returns false only if we can prove that
86 /// once any block in 'Worklist' has been reached then 'StopBB' can not be
87 /// executed. Conservatively returns true.
88 bool isPotentiallyReachableFromMany(SmallVectorImpl<BasicBlock *> &Worklist,
89                                     BasicBlock *StopBB,
90                                     const DominatorTree *DT = nullptr,
91                                     const LoopInfo *LI = nullptr);
92 
93 /// Return true if the control flow in \p RPOTraversal is irreducible.
94 ///
95 /// This is a generic implementation to detect CFG irreducibility based on loop
96 /// info analysis. It can be used for any kind of CFG (Loop, MachineLoop,
97 /// Function, MachineFunction, etc.) by providing an RPO traversal (\p
98 /// RPOTraversal) and the loop info analysis (\p LI) of the CFG. This utility
99 /// function is only recommended when loop info analysis is available. If loop
100 /// info analysis isn't available, please, don't compute it explicitly for this
101 /// purpose. There are more efficient ways to detect CFG irreducibility that
102 /// don't require recomputing loop info analysis (e.g., T1/T2 or Tarjan's
103 /// algorithm).
104 ///
105 /// Requirements:
106 ///   1) GraphTraits must be implemented for NodeT type. It is used to access
107 ///      NodeT successors.
108 //    2) \p RPOTraversal must be a valid reverse post-order traversal of the
109 ///      target CFG with begin()/end() iterator interfaces.
110 ///   3) \p LI must be a valid LoopInfoBase that contains up-to-date loop
111 ///      analysis information of the CFG.
112 ///
113 /// This algorithm uses the information about reducible loop back-edges already
114 /// computed in \p LI. When a back-edge is found during the RPO traversal, the
115 /// algorithm checks whether the back-edge is one of the reducible back-edges in
116 /// loop info. If it isn't, the CFG is irreducible. For example, for the CFG
117 /// below (canonical irreducible graph) loop info won't contain any loop, so the
118 /// algorithm will return that the CFG is irreducible when checking the B <-
119 /// -> C back-edge.
120 ///
121 /// (A->B, A->C, B->C, C->B, C->D)
122 ///    A
123 ///  /   \
124 /// B<- ->C
125 ///       |
126 ///       D
127 ///
128 template <class NodeT, class RPOTraversalT, class LoopInfoT,
129           class GT = GraphTraits<NodeT>>
containsIrreducibleCFG(RPOTraversalT & RPOTraversal,const LoopInfoT & LI)130 bool containsIrreducibleCFG(RPOTraversalT &RPOTraversal, const LoopInfoT &LI) {
131   /// Check whether the edge (\p Src, \p Dst) is a reducible loop backedge
132   /// according to LI. I.e., check if there exists a loop that contains Src and
133   /// where Dst is the loop header.
134   auto isProperBackedge = [&](NodeT Src, NodeT Dst) {
135     for (const auto *Lp = LI.getLoopFor(Src); Lp; Lp = Lp->getParentLoop()) {
136       if (Lp->getHeader() == Dst)
137         return true;
138     }
139     return false;
140   };
141 
142   SmallPtrSet<NodeT, 32> Visited;
143   for (NodeT Node : RPOTraversal) {
144     Visited.insert(Node);
145     for (NodeT Succ : make_range(GT::child_begin(Node), GT::child_end(Node))) {
146       // Succ hasn't been visited yet
147       if (!Visited.count(Succ))
148         continue;
149       // We already visited Succ, thus Node->Succ must be a backedge. Check that
150       // the head matches what we have in the loop information. Otherwise, we
151       // have an irreducible graph.
152       if (!isProperBackedge(Node, Succ))
153         return true;
154     }
155   }
156 
157   return false;
158 }
159 } // End llvm namespace
160 
161 #endif
162