//===- NaryReassociate.h - Reassociate n-ary expressions --------*- 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 pass reassociates n-ary add expressions and eliminates the redundancy
 
// exposed by the reassociation.
 
//
 
// A motivating example:
 
//
 
//   void foo(int a, int b) {
 
//     bar(a + b);
 
//     bar((a + 2) + b);
 
//   }
 
//
 
// An ideal compiler should reassociate (a + 2) + b to (a + b) + 2 and simplify
 
// the above code to
 
//
 
//   int t = a + b;
 
//   bar(t);
 
//   bar(t + 2);
 
//
 
// However, the Reassociate pass is unable to do that because it processes each
 
// instruction individually and believes (a + 2) + b is the best form according
 
// to its rank system.
 
//
 
// To address this limitation, NaryReassociate reassociates an expression in a
 
// form that reuses existing instructions. As a result, NaryReassociate can
 
// reassociate (a + 2) + b in the example to (a + b) + 2 because it detects that
 
// (a + b) is computed before.
 
//
 
// NaryReassociate works as follows. For every instruction in the form of (a +
 
// b) + c, it checks whether a + c or b + c is already computed by a dominating
 
// instruction. If so, it then reassociates (a + b) + c into (a + c) + b or (b +
 
// c) + a and removes the redundancy accordingly. To efficiently look up whether
 
// an expression is computed before, we store each instruction seen and its SCEV
 
// into an SCEV-to-instruction map.
 
//
 
// Although the algorithm pattern-matches only ternary additions, it
 
// automatically handles many >3-ary expressions by walking through the function
 
// in the depth-first order. For example, given
 
//
 
//   (a + c) + d
 
//   ((a + b) + c) + d
 
//
 
// NaryReassociate first rewrites (a + b) + c to (a + c) + b, and then rewrites
 
// ((a + c) + b) + d into ((a + c) + d) + b.
 
//
 
// Finally, the above dominator-based algorithm may need to be run multiple
 
// iterations before emitting optimal code. One source of this need is that we
 
// only split an operand when it is used only once. The above algorithm can
 
// eliminate an instruction and decrease the usage count of its operands. As a
 
// result, an instruction that previously had multiple uses may become a
 
// single-use instruction and thus eligible for split consideration. For
 
// example,
 
//
 
//   ac = a + c
 
//   ab = a + b
 
//   abc = ab + c
 
//   ab2 = ab + b
 
//   ab2c = ab2 + c
 
//
 
// In the first iteration, we cannot reassociate abc to ac+b because ab is used
 
// twice. However, we can reassociate ab2c to abc+b in the first iteration. As a
 
// result, ab2 becomes dead and ab will be used only once in the second
 
// iteration.
 
//
 
// Limitations and TODO items:
 
//
 
// 1) We only considers n-ary adds and muls for now. This should be extended
 
// and generalized.
 
//
 
//===----------------------------------------------------------------------===//
 
 
 
#ifndef LLVM_TRANSFORMS_SCALAR_NARYREASSOCIATE_H
 
#define LLVM_TRANSFORMS_SCALAR_NARYREASSOCIATE_H
 
 
 
#include "llvm/ADT/DenseMap.h"
 
#include "llvm/ADT/SmallVector.h"
 
#include "llvm/IR/PassManager.h"
 
#include "llvm/IR/ValueHandle.h"
 
 
 
namespace llvm {
 
 
 
class AssumptionCache;
 
class BinaryOperator;
 
class DataLayout;
 
class DominatorTree;
 
class Function;
 
class GetElementPtrInst;
 
class Instruction;
 
class ScalarEvolution;
 
class SCEV;
 
class TargetLibraryInfo;
 
class TargetTransformInfo;
 
class Type;
 
class Value;
 
 
 
class NaryReassociatePass : public PassInfoMixin<NaryReassociatePass> {
 
public:
 
  PreservedAnalyses run(Function &F, FunctionAnalysisManager &AM);
 
 
 
  // Glue for old PM.
 
  bool runImpl(Function &F, AssumptionCache *AC_, DominatorTree *DT_,
 
               ScalarEvolution *SE_, TargetLibraryInfo *TLI_,
 
               TargetTransformInfo *TTI_);
 
 
 
private:
 
  // Runs only one iteration of the dominator-based algorithm. See the header
 
  // comments for why we need multiple iterations.
 
  bool doOneIteration(Function &F);
 
 
 
  // Reassociates I for better CSE.
 
  Instruction *tryReassociate(Instruction *I, const SCEV *&OrigSCEV);
 
 
 
  // Reassociate GEP for better CSE.
 
  Instruction *tryReassociateGEP(GetElementPtrInst *GEP);
 
 
 
  // Try splitting GEP at the I-th index and see whether either part can be
 
  // CSE'ed. This is a helper function for tryReassociateGEP.
 
  //
 
  // \p IndexedType The element type indexed by GEP's I-th index. This is
 
  //                equivalent to
 
  //                  GEP->getIndexedType(GEP->getPointerOperand(), 0-th index,
 
  //                                      ..., i-th index).
 
  GetElementPtrInst *tryReassociateGEPAtIndex(GetElementPtrInst *GEP,
 
                                              unsigned I, Type *IndexedType);
 
 
 
  // Given GEP's I-th index = LHS + RHS, see whether &Base[..][LHS][..] or
 
  // &Base[..][RHS][..] can be CSE'ed and rewrite GEP accordingly.
 
  GetElementPtrInst *tryReassociateGEPAtIndex(GetElementPtrInst *GEP,
 
                                              unsigned I, Value *LHS,
 
                                              Value *RHS, Type *IndexedType);
 
 
 
  // Reassociate binary operators for better CSE.
 
  Instruction *tryReassociateBinaryOp(BinaryOperator *I);
 
 
 
  // A helper function for tryReassociateBinaryOp. LHS and RHS are explicitly
 
  // passed.
 
  Instruction *tryReassociateBinaryOp(Value *LHS, Value *RHS,
 
                                      BinaryOperator *I);
 
  // Rewrites I to (LHS op RHS) if LHS is computed already.
 
  Instruction *tryReassociatedBinaryOp(const SCEV *LHS, Value *RHS,
 
                                       BinaryOperator *I);
 
 
 
  // Tries to match Op1 and Op2 by using V.
 
  bool matchTernaryOp(BinaryOperator *I, Value *V, Value *&Op1, Value *&Op2);
 
 
 
  // Gets SCEV for (LHS op RHS).
 
  const SCEV *getBinarySCEV(BinaryOperator *I, const SCEV *LHS,
 
                            const SCEV *RHS);
 
 
 
  // Returns the closest dominator of \c Dominatee that computes
 
  // \c CandidateExpr. Returns null if not found.
 
  Instruction *findClosestMatchingDominator(const SCEV *CandidateExpr,
 
                                            Instruction *Dominatee);
 
 
 
  // Try to match \p I as signed/unsigned Min/Max and reassociate it. \p
 
  // OrigSCEV is set if \I matches Min/Max regardless whether resassociation is
 
  // done or not. If reassociation was successful newly generated instruction is
 
  // returned, otherwise nullptr.
 
  template <typename PredT>
 
  Instruction *matchAndReassociateMinOrMax(Instruction *I,
 
                                           const SCEV *&OrigSCEV);
 
 
 
  // Reassociate Min/Max.
 
  template <typename MaxMinT>
 
  Value *tryReassociateMinOrMax(Instruction *I, MaxMinT MaxMinMatch, Value *LHS,
 
                                Value *RHS);
 
 
 
  // GetElementPtrInst implicitly sign-extends an index if the index is shorter
 
  // than the pointer size. This function returns whether Index is shorter than
 
  // GEP's pointer size, i.e., whether Index needs to be sign-extended in order
 
  // to be an index of GEP.
 
  bool requiresSignExtension(Value *Index, GetElementPtrInst *GEP);
 
 
 
  AssumptionCache *AC;
 
  const DataLayout *DL;
 
  DominatorTree *DT;
 
  ScalarEvolution *SE;
 
  TargetLibraryInfo *TLI;
 
  TargetTransformInfo *TTI;
 
 
 
  // A lookup table quickly telling which instructions compute the given SCEV.
 
  // Note that there can be multiple instructions at different locations
 
  // computing to the same SCEV, so we map a SCEV to an instruction list.  For
 
  // example,
 
  //
 
  //   if (p1)
 
  //     foo(a + b);
 
  //   if (p2)
 
  //     bar(a + b);
 
  DenseMap<const SCEV *, SmallVector<WeakTrackingVH, 2>> SeenExprs;
 
};
 
 
 
} // end namespace llvm
 
 
 
#endif // LLVM_TRANSFORMS_SCALAR_NARYREASSOCIATE_H