//===-- Analysis/CFG.h - BasicBlock Analyses --------------------*- 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 family of functions performs analyses on basic blocks, and instructions
 
// contained within basic blocks.
 
//
 
//===----------------------------------------------------------------------===//
 
 
 
#ifndef LLVM_ANALYSIS_CFG_H
 
#define LLVM_ANALYSIS_CFG_H
 
 
 
#include "llvm/ADT/GraphTraits.h"
 
#include "llvm/ADT/SmallPtrSet.h"
 
#include <utility>
 
 
 
namespace llvm {
 
 
 
class BasicBlock;
 
class DominatorTree;
 
class Function;
 
class Instruction;
 
class LoopInfo;
 
template <typename T> class SmallVectorImpl;
 
 
 
/// Analyze the specified function to find all of the loop backedges in the
 
/// function and return them.  This is a relatively cheap (compared to
 
/// computing dominators and loop info) analysis.
 
///
 
/// The output is added to Result, as pairs of <from,to> edge info.
 
void FindFunctionBackedges(
 
    const Function &F,
 
    SmallVectorImpl<std::pair<const BasicBlock *, const BasicBlock *> > &
 
        Result);
 
 
 
/// Search for the specified successor of basic block BB and return its position
 
/// in the terminator instruction's list of successors.  It is an error to call
 
/// this with a block that is not a successor.
 
unsigned GetSuccessorNumber(const BasicBlock *BB, const BasicBlock *Succ);
 
 
 
/// Return true if the specified edge is a critical edge. Critical edges are
 
/// edges from a block with multiple successors to a block with multiple
 
/// predecessors.
 
///
 
bool isCriticalEdge(const Instruction *TI, unsigned SuccNum,
 
                    bool AllowIdenticalEdges = false);
 
bool isCriticalEdge(const Instruction *TI, const BasicBlock *Succ,
 
                    bool AllowIdenticalEdges = false);
 
 
 
/// Determine whether instruction 'To' is reachable from 'From', without passing
 
/// through any blocks in ExclusionSet, returning true if uncertain.
 
///
 
/// Determine whether there is a path from From to To within a single function.
 
/// Returns false only if we can prove that once 'From' has been executed then
 
/// 'To' can not be executed. Conservatively returns true.
 
///
 
/// This function is linear with respect to the number of blocks in the CFG,
 
/// walking down successors from From to reach To, with a fixed threshold.
 
/// Using DT or LI allows us to answer more quickly. LI reduces the cost of
 
/// an entire loop of any number of blocks to be the same as the cost of a
 
/// single block. DT reduces the cost by allowing the search to terminate when
 
/// we find a block that dominates the block containing 'To'. DT is most useful
 
/// on branchy code but not loops, and LI is most useful on code with loops but
 
/// does not help on branchy code outside loops.
 
bool isPotentiallyReachable(
 
    const Instruction *From, const Instruction *To,
 
    const SmallPtrSetImpl<BasicBlock *> *ExclusionSet = nullptr,
 
    const DominatorTree *DT = nullptr, const LoopInfo *LI = nullptr);
 
 
 
/// Determine whether block 'To' is reachable from 'From', returning
 
/// true if uncertain.
 
///
 
/// Determine whether there is a path from From to To within a single function.
 
/// Returns false only if we can prove that once 'From' has been reached then
 
/// 'To' can not be executed. Conservatively returns true.
 
bool isPotentiallyReachable(
 
    const BasicBlock *From, const BasicBlock *To,
 
    const SmallPtrSetImpl<BasicBlock *> *ExclusionSet = nullptr,
 
    const DominatorTree *DT = nullptr, const LoopInfo *LI = nullptr);
 
 
 
/// Determine whether there is at least one path from a block in
 
/// 'Worklist' to 'StopBB' without passing through any blocks in
 
/// 'ExclusionSet', returning true if uncertain.
 
///
 
/// Determine whether there is a path from at least one block in Worklist to
 
/// StopBB within a single function without passing through any of the blocks
 
/// in 'ExclusionSet'. Returns false only if we can prove that once any block
 
/// in 'Worklist' has been reached then 'StopBB' can not be executed.
 
/// Conservatively returns true.
 
bool isPotentiallyReachableFromMany(
 
    SmallVectorImpl<BasicBlock *> &Worklist, const BasicBlock *StopBB,
 
    const SmallPtrSetImpl<BasicBlock *> *ExclusionSet,
 
    const DominatorTree *DT = nullptr, const LoopInfo *LI = nullptr);
 
 
 
/// Return true if the control flow in \p RPOTraversal is irreducible.
 
///
 
/// This is a generic implementation to detect CFG irreducibility based on loop
 
/// info analysis. It can be used for any kind of CFG (Loop, MachineLoop,
 
/// Function, MachineFunction, etc.) by providing an RPO traversal (\p
 
/// RPOTraversal) and the loop info analysis (\p LI) of the CFG. This utility
 
/// function is only recommended when loop info analysis is available. If loop
 
/// info analysis isn't available, please, don't compute it explicitly for this
 
/// purpose. There are more efficient ways to detect CFG irreducibility that
 
/// don't require recomputing loop info analysis (e.g., T1/T2 or Tarjan's
 
/// algorithm).
 
///
 
/// Requirements:
 
///   1) GraphTraits must be implemented for NodeT type. It is used to access
 
///      NodeT successors.
 
//    2) \p RPOTraversal must be a valid reverse post-order traversal of the
 
///      target CFG with begin()/end() iterator interfaces.
 
///   3) \p LI must be a valid LoopInfoBase that contains up-to-date loop
 
///      analysis information of the CFG.
 
///
 
/// This algorithm uses the information about reducible loop back-edges already
 
/// computed in \p LI. When a back-edge is found during the RPO traversal, the
 
/// algorithm checks whether the back-edge is one of the reducible back-edges in
 
/// loop info. If it isn't, the CFG is irreducible. For example, for the CFG
 
/// below (canonical irreducible graph) loop info won't contain any loop, so the
 
/// algorithm will return that the CFG is irreducible when checking the B <-
 
/// -> C back-edge.
 
///
 
/// (A->B, A->C, B->C, C->B, C->D)
 
///    A
 
///  /   \
 
/// B<- ->C
 
///       |
 
///       D
 
///
 
template <class NodeT, class RPOTraversalT, class LoopInfoT,
 
          class GT = GraphTraits<NodeT>>
 
bool containsIrreducibleCFG(RPOTraversalT &RPOTraversal, const LoopInfoT &LI) {
 
  /// Check whether the edge (\p Src, \p Dst) is a reducible loop backedge
 
  /// according to LI. I.e., check if there exists a loop that contains Src and
 
  /// where Dst is the loop header.
 
  auto isProperBackedge = [&](NodeT Src, NodeT Dst) {
 
    for (const auto *Lp = LI.getLoopFor(Src); Lp; Lp = Lp->getParentLoop()) {
 
      if (Lp->getHeader() == Dst)
 
        return true;
 
    }
 
    return false;
 
  };
 
 
 
  SmallPtrSet<NodeT, 32> Visited;
 
  for (NodeT Node : RPOTraversal) {
 
    Visited.insert(Node);
 
    for (NodeT Succ : make_range(GT::child_begin(Node), GT::child_end(Node))) {
 
      // Succ hasn't been visited yet
 
      if (!Visited.count(Succ))
 
        continue;
 
      // We already visited Succ, thus Node->Succ must be a backedge. Check that
 
      // the head matches what we have in the loop information. Otherwise, we
 
      // have an irreducible graph.
 
      if (!isProperBackedge(Node, Succ))
 
        return true;
 
    }
 
  }
 
 
 
  return false;
 
}
 
} // End llvm namespace
 
 
 
#endif