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      1 //===-- Analysis/CFG.h - BasicBlock Analyses --------------------*- C++ -*-===//
      2 //
      3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
      4 // See https://llvm.org/LICENSE.txt for license information.
      5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
      6 //
      7 //===----------------------------------------------------------------------===//
      8 //
      9 // This family of functions performs analyses on basic blocks, and instructions
     10 // contained within basic blocks.
     11 //
     12 //===----------------------------------------------------------------------===//
     13 
     14 #ifndef LLVM_ANALYSIS_CFG_H
     15 #define LLVM_ANALYSIS_CFG_H
     16 
     17 #include "llvm/ADT/GraphTraits.h"
     18 #include "llvm/ADT/SmallPtrSet.h"
     19 #include <utility>
     20 
     21 namespace llvm {
     22 
     23 class BasicBlock;
     24 class DominatorTree;
     25 class Function;
     26 class Instruction;
     27 class LoopInfo;
     28 template <typename T> class SmallVectorImpl;
     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 Instruction *TI, unsigned SuccNum,
     50                     bool AllowIdenticalEdges = false);
     51 bool isCriticalEdge(const Instruction *TI, const BasicBlock *Succ,
     52                     bool AllowIdenticalEdges = false);
     53 
     54 /// Determine whether instruction 'To' is reachable from 'From', without passing
     55 /// through any blocks in ExclusionSet, returning true if uncertain.
     56 ///
     57 /// Determine whether there is a path from From to To within a single function.
     58 /// Returns false only if we can prove that once 'From' has been executed then
     59 /// 'To' can not be executed. Conservatively returns true.
     60 ///
     61 /// This function is linear with respect to the number of blocks in the CFG,
     62 /// walking down successors from From to reach To, with a fixed threshold.
     63 /// Using DT or LI allows us to answer more quickly. LI reduces the cost of
     64 /// an entire loop of any number of blocks to be the same as the cost of a
     65 /// single block. DT reduces the cost by allowing the search to terminate when
     66 /// we find a block that dominates the block containing 'To'. DT is most useful
     67 /// on branchy code but not loops, and LI is most useful on code with loops but
     68 /// does not help on branchy code outside loops.
     69 bool isPotentiallyReachable(
     70     const Instruction *From, const Instruction *To,
     71     const SmallPtrSetImpl<BasicBlock *> *ExclusionSet = nullptr,
     72     const DominatorTree *DT = nullptr, const LoopInfo *LI = nullptr);
     73 
     74 /// Determine whether block 'To' is reachable from 'From', returning
     75 /// true if uncertain.
     76 ///
     77 /// Determine whether there is a path from From to To within a single function.
     78 /// Returns false only if we can prove that once 'From' has been reached then
     79 /// 'To' can not be executed. Conservatively returns true.
     80 bool isPotentiallyReachable(
     81     const BasicBlock *From, const BasicBlock *To,
     82     const SmallPtrSetImpl<BasicBlock *> *ExclusionSet = nullptr,
     83     const DominatorTree *DT = nullptr, const LoopInfo *LI = nullptr);
     84 
     85 /// Determine whether there is at least one path from a block in
     86 /// 'Worklist' to 'StopBB', returning true if uncertain.
     87 ///
     88 /// Determine whether there is a path from at least one block in Worklist to
     89 /// StopBB within a single function. Returns false only if we can prove that
     90 /// once any block in 'Worklist' has been reached then 'StopBB' can not be
     91 /// executed. Conservatively returns true.
     92 bool isPotentiallyReachableFromMany(SmallVectorImpl<BasicBlock *> &Worklist,
     93                                     BasicBlock *StopBB,
     94                                     const DominatorTree *DT = nullptr,
     95                                     const LoopInfo *LI = nullptr);
     96 
     97 /// Determine whether there is at least one path from a block in
     98 /// 'Worklist' to 'StopBB' without passing through any blocks in
     99 /// 'ExclusionSet', returning true if uncertain.
    100 ///
    101 /// Determine whether there is a path from at least one block in Worklist to
    102 /// StopBB within a single function without passing through any of the blocks
    103 /// in 'ExclusionSet'. Returns false only if we can prove that once any block
    104 /// in 'Worklist' has been reached then 'StopBB' can not be executed.
    105 /// Conservatively returns true.
    106 bool isPotentiallyReachableFromMany(
    107     SmallVectorImpl<BasicBlock *> &Worklist, BasicBlock *StopBB,
    108     const SmallPtrSetImpl<BasicBlock *> *ExclusionSet,
    109     const DominatorTree *DT = nullptr, const LoopInfo *LI = nullptr);
    110 
    111 /// Return true if the control flow in \p RPOTraversal is irreducible.
    112 ///
    113 /// This is a generic implementation to detect CFG irreducibility based on loop
    114 /// info analysis. It can be used for any kind of CFG (Loop, MachineLoop,
    115 /// Function, MachineFunction, etc.) by providing an RPO traversal (\p
    116 /// RPOTraversal) and the loop info analysis (\p LI) of the CFG. This utility
    117 /// function is only recommended when loop info analysis is available. If loop
    118 /// info analysis isn't available, please, don't compute it explicitly for this
    119 /// purpose. There are more efficient ways to detect CFG irreducibility that
    120 /// don't require recomputing loop info analysis (e.g., T1/T2 or Tarjan's
    121 /// algorithm).
    122 ///
    123 /// Requirements:
    124 ///   1) GraphTraits must be implemented for NodeT type. It is used to access
    125 ///      NodeT successors.
    126 //    2) \p RPOTraversal must be a valid reverse post-order traversal of the
    127 ///      target CFG with begin()/end() iterator interfaces.
    128 ///   3) \p LI must be a valid LoopInfoBase that contains up-to-date loop
    129 ///      analysis information of the CFG.
    130 ///
    131 /// This algorithm uses the information about reducible loop back-edges already
    132 /// computed in \p LI. When a back-edge is found during the RPO traversal, the
    133 /// algorithm checks whether the back-edge is one of the reducible back-edges in
    134 /// loop info. If it isn't, the CFG is irreducible. For example, for the CFG
    135 /// below (canonical irreducible graph) loop info won't contain any loop, so the
    136 /// algorithm will return that the CFG is irreducible when checking the B <-
    137 /// -> C back-edge.
    138 ///
    139 /// (A->B, A->C, B->C, C->B, C->D)
    140 ///    A
    141 ///  /   \
    142 /// B<- ->C
    143 ///       |
    144 ///       D
    145 ///
    146 template <class NodeT, class RPOTraversalT, class LoopInfoT,
    147           class GT = GraphTraits<NodeT>>
    148 bool containsIrreducibleCFG(RPOTraversalT &RPOTraversal, const LoopInfoT &LI) {
    149   /// Check whether the edge (\p Src, \p Dst) is a reducible loop backedge
    150   /// according to LI. I.e., check if there exists a loop that contains Src and
    151   /// where Dst is the loop header.
    152   auto isProperBackedge = [&](NodeT Src, NodeT Dst) {
    153     for (const auto *Lp = LI.getLoopFor(Src); Lp; Lp = Lp->getParentLoop()) {
    154       if (Lp->getHeader() == Dst)
    155         return true;
    156     }
    157     return false;
    158   };
    159 
    160   SmallPtrSet<NodeT, 32> Visited;
    161   for (NodeT Node : RPOTraversal) {
    162     Visited.insert(Node);
    163     for (NodeT Succ : make_range(GT::child_begin(Node), GT::child_end(Node))) {
    164       // Succ hasn't been visited yet
    165       if (!Visited.count(Succ))
    166         continue;
    167       // We already visited Succ, thus Node->Succ must be a backedge. Check that
    168       // the head matches what we have in the loop information. Otherwise, we
    169       // have an irreducible graph.
    170       if (!isProperBackedge(Node, Succ))
    171         return true;
    172     }
    173   }
    174 
    175   return false;
    176 }
    177 } // End llvm namespace
    178 
    179 #endif
    180