//===- llvm/Analysis/IVDescriptors.h - IndVar Descriptors -------*- 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 "describes" induction and recurrence variables.
 
//
 
//===----------------------------------------------------------------------===//
 
 
 
#ifndef LLVM_ANALYSIS_IVDESCRIPTORS_H
 
#define LLVM_ANALYSIS_IVDESCRIPTORS_H
 
 
 
#include "llvm/ADT/MapVector.h"
 
#include "llvm/ADT/SmallPtrSet.h"
 
#include "llvm/ADT/SmallVector.h"
 
#include "llvm/IR/IntrinsicInst.h"
 
#include "llvm/IR/ValueHandle.h"
 
 
 
namespace llvm {
 
 
 
class AssumptionCache;
 
class DemandedBits;
 
class DominatorTree;
 
class Instruction;
 
class Loop;
 
class PredicatedScalarEvolution;
 
class ScalarEvolution;
 
class SCEV;
 
class StoreInst;
 
 
 
/// These are the kinds of recurrences that we support.
 
enum class RecurKind {
 
  None,       ///< Not a recurrence.
 
  Add,        ///< Sum of integers.
 
  Mul,        ///< Product of integers.
 
  Or,         ///< Bitwise or logical OR of integers.
 
  And,        ///< Bitwise or logical AND of integers.
 
  Xor,        ///< Bitwise or logical XOR of integers.
 
  SMin,       ///< Signed integer min implemented in terms of select(cmp()).
 
  SMax,       ///< Signed integer max implemented in terms of select(cmp()).
 
  UMin,       ///< Unisgned integer min implemented in terms of select(cmp()).
 
  UMax,       ///< Unsigned integer max implemented in terms of select(cmp()).
 
  FAdd,       ///< Sum of floats.
 
  FMul,       ///< Product of floats.
 
  FMin,       ///< FP min implemented in terms of select(cmp()).
 
  FMax,       ///< FP max implemented in terms of select(cmp()).
 
  FMulAdd,    ///< Fused multiply-add of floats (a * b + c).
 
  SelectICmp, ///< Integer select(icmp(),x,y) where one of (x,y) is loop
 
              ///< invariant
 
  SelectFCmp  ///< Integer select(fcmp(),x,y) where one of (x,y) is loop
 
              ///< invariant
 
};
 
 
 
/// The RecurrenceDescriptor is used to identify recurrences variables in a
 
/// loop. Reduction is a special case of recurrence that has uses of the
 
/// recurrence variable outside the loop. The method isReductionPHI identifies
 
/// reductions that are basic recurrences.
 
///
 
/// Basic recurrences are defined as the summation, product, OR, AND, XOR, min,
 
/// or max of a set of terms. For example: for(i=0; i<n; i++) { total +=
 
/// array[i]; } is a summation of array elements. Basic recurrences are a
 
/// special case of chains of recurrences (CR). See ScalarEvolution for CR
 
/// references.
 
 
 
/// This struct holds information about recurrence variables.
 
class RecurrenceDescriptor {
 
public:
 
  RecurrenceDescriptor() = default;
 
 
 
  RecurrenceDescriptor(Value *Start, Instruction *Exit, StoreInst *Store,
 
                       RecurKind K, FastMathFlags FMF, Instruction *ExactFP,
 
                       Type *RT, bool Signed, bool Ordered,
 
                       SmallPtrSetImpl<Instruction *> &CI,
 
                       unsigned MinWidthCastToRecurTy)
 
      : IntermediateStore(Store), StartValue(Start), LoopExitInstr(Exit),
 
        Kind(K), FMF(FMF), ExactFPMathInst(ExactFP), RecurrenceType(RT),
 
        IsSigned(Signed), IsOrdered(Ordered),
 
        MinWidthCastToRecurrenceType(MinWidthCastToRecurTy) {
 
    CastInsts.insert(CI.begin(), CI.end());
 
  }
 
 
 
  /// This POD struct holds information about a potential recurrence operation.
 
  class InstDesc {
 
  public:
 
    InstDesc(bool IsRecur, Instruction *I, Instruction *ExactFP = nullptr)
 
        : IsRecurrence(IsRecur), PatternLastInst(I),
 
          RecKind(RecurKind::None), ExactFPMathInst(ExactFP) {}
 
 
 
    InstDesc(Instruction *I, RecurKind K, Instruction *ExactFP = nullptr)
 
        : IsRecurrence(true), PatternLastInst(I), RecKind(K),
 
          ExactFPMathInst(ExactFP) {}
 
 
 
    bool isRecurrence() const { return IsRecurrence; }
 
 
 
    bool needsExactFPMath() const { return ExactFPMathInst != nullptr; }
 
 
 
    Instruction *getExactFPMathInst() const { return ExactFPMathInst; }
 
 
 
    RecurKind getRecKind() const { return RecKind; }
 
 
 
    Instruction *getPatternInst() const { return PatternLastInst; }
 
 
 
  private:
 
    // Is this instruction a recurrence candidate.
 
    bool IsRecurrence;
 
    // The last instruction in a min/max pattern (select of the select(icmp())
 
    // pattern), or the current recurrence instruction otherwise.
 
    Instruction *PatternLastInst;
 
    // If this is a min/max pattern.
 
    RecurKind RecKind;
 
    // Recurrence does not allow floating-point reassociation.
 
    Instruction *ExactFPMathInst;
 
  };
 
 
 
  /// Returns a struct describing if the instruction 'I' can be a recurrence
 
  /// variable of type 'Kind' for a Loop \p L and reduction PHI \p Phi.
 
  /// If the recurrence is a min/max pattern of select(icmp()) this function
 
  /// advances the instruction pointer 'I' from the compare instruction to the
 
  /// select instruction and stores this pointer in 'PatternLastInst' member of
 
  /// the returned struct.
 
  static InstDesc isRecurrenceInstr(Loop *L, PHINode *Phi, Instruction *I,
 
                                    RecurKind Kind, InstDesc &Prev,
 
                                    FastMathFlags FuncFMF);
 
 
 
  /// Returns true if instruction I has multiple uses in Insts
 
  static bool hasMultipleUsesOf(Instruction *I,
 
                                SmallPtrSetImpl<Instruction *> &Insts,
 
                                unsigned MaxNumUses);
 
 
 
  /// Returns true if all uses of the instruction I is within the Set.
 
  static bool areAllUsesIn(Instruction *I, SmallPtrSetImpl<Instruction *> &Set);
 
 
 
  /// Returns a struct describing if the instruction is a llvm.(s/u)(min/max),
 
  /// llvm.minnum/maxnum or a Select(ICmp(X, Y), X, Y) pair of instructions
 
  /// corresponding to a min(X, Y) or max(X, Y), matching the recurrence kind \p
 
  /// Kind. \p Prev specifies the description of an already processed select
 
  /// instruction, so its corresponding cmp can be matched to it.
 
  static InstDesc isMinMaxPattern(Instruction *I, RecurKind Kind,
 
                                  const InstDesc &Prev);
 
 
 
  /// Returns a struct describing whether the instruction is either a
 
  ///   Select(ICmp(A, B), X, Y), or
 
  ///   Select(FCmp(A, B), X, Y)
 
  /// where one of (X, Y) is a loop invariant integer and the other is a PHI
 
  /// value. \p Prev specifies the description of an already processed select
 
  /// instruction, so its corresponding cmp can be matched to it.
 
  static InstDesc isSelectCmpPattern(Loop *Loop, PHINode *OrigPhi,
 
                                     Instruction *I, InstDesc &Prev);
 
 
 
  /// Returns a struct describing if the instruction is a
 
  /// Select(FCmp(X, Y), (Z = X op PHINode), PHINode) instruction pattern.
 
  static InstDesc isConditionalRdxPattern(RecurKind Kind, Instruction *I);
 
 
 
  /// Returns identity corresponding to the RecurrenceKind.
 
  Value *getRecurrenceIdentity(RecurKind K, Type *Tp, FastMathFlags FMF) const;
 
 
 
  /// Returns the opcode corresponding to the RecurrenceKind.
 
  static unsigned getOpcode(RecurKind Kind);
 
 
 
  /// Returns true if Phi is a reduction of type Kind and adds it to the
 
  /// RecurrenceDescriptor. If either \p DB is non-null or \p AC and \p DT are
 
  /// non-null, the minimal bit width needed to compute the reduction will be
 
  /// computed.
 
  static bool
 
  AddReductionVar(PHINode *Phi, RecurKind Kind, Loop *TheLoop,
 
                  FastMathFlags FuncFMF, RecurrenceDescriptor &RedDes,
 
                  DemandedBits *DB = nullptr, AssumptionCache *AC = nullptr,
 
                  DominatorTree *DT = nullptr, ScalarEvolution *SE = nullptr);
 
 
 
  /// Returns true if Phi is a reduction in TheLoop. The RecurrenceDescriptor
 
  /// is returned in RedDes. If either \p DB is non-null or \p AC and \p DT are
 
  /// non-null, the minimal bit width needed to compute the reduction will be
 
  /// computed. If \p SE is non-null, store instructions to loop invariant
 
  /// addresses are processed.
 
  static bool
 
  isReductionPHI(PHINode *Phi, Loop *TheLoop, RecurrenceDescriptor &RedDes,
 
                 DemandedBits *DB = nullptr, AssumptionCache *AC = nullptr,
 
                 DominatorTree *DT = nullptr, ScalarEvolution *SE = nullptr);
 
 
 
  /// Returns true if Phi is a fixed-order recurrence. A fixed-order recurrence
 
  /// is a non-reduction recurrence relation in which the value of the
 
  /// recurrence in the current loop iteration equals a value defined in a
 
  /// previous iteration (e.g. if the value is defined in the previous
 
  /// iteration, we refer to it as first-order recurrence, if it is defined in
 
  /// the iteration before the previous, we refer to it as second-order
 
  /// recurrence and so on). \p SinkAfter includes pairs of instructions where
 
  /// the first will be rescheduled to appear after the second if/when the loop
 
  /// is vectorized. It may be augmented with additional pairs if needed in
 
  /// order to handle Phi as a first-order recurrence.
 
  static bool
 
  isFixedOrderRecurrence(PHINode *Phi, Loop *TheLoop,
 
                         MapVector<Instruction *, Instruction *> &SinkAfter,
 
                         DominatorTree *DT);
 
 
 
  RecurKind getRecurrenceKind() const { return Kind; }
 
 
 
  unsigned getOpcode() const { return getOpcode(getRecurrenceKind()); }
 
 
 
  FastMathFlags getFastMathFlags() const { return FMF; }
 
 
 
  TrackingVH<Value> getRecurrenceStartValue() const { return StartValue; }
 
 
 
  Instruction *getLoopExitInstr() const { return LoopExitInstr; }
 
 
 
  /// Returns true if the recurrence has floating-point math that requires
 
  /// precise (ordered) operations.
 
  bool hasExactFPMath() const { return ExactFPMathInst != nullptr; }
 
 
 
  /// Returns 1st non-reassociative FP instruction in the PHI node's use-chain.
 
  Instruction *getExactFPMathInst() const { return ExactFPMathInst; }
 
 
 
  /// Returns true if the recurrence kind is an integer kind.
 
  static bool isIntegerRecurrenceKind(RecurKind Kind);
 
 
 
  /// Returns true if the recurrence kind is a floating point kind.
 
  static bool isFloatingPointRecurrenceKind(RecurKind Kind);
 
 
 
  /// Returns true if the recurrence kind is an integer min/max kind.
 
  static bool isIntMinMaxRecurrenceKind(RecurKind Kind) {
 
    return Kind == RecurKind::UMin || Kind == RecurKind::UMax ||
 
           Kind == RecurKind::SMin || Kind == RecurKind::SMax;
 
  }
 
 
 
  /// Returns true if the recurrence kind is a floating-point min/max kind.
 
  static bool isFPMinMaxRecurrenceKind(RecurKind Kind) {
 
    return Kind == RecurKind::FMin || Kind == RecurKind::FMax;
 
  }
 
 
 
  /// Returns true if the recurrence kind is any min/max kind.
 
  static bool isMinMaxRecurrenceKind(RecurKind Kind) {
 
    return isIntMinMaxRecurrenceKind(Kind) || isFPMinMaxRecurrenceKind(Kind);
 
  }
 
 
 
  /// Returns true if the recurrence kind is of the form
 
  ///   select(cmp(),x,y) where one of (x,y) is loop invariant.
 
  static bool isSelectCmpRecurrenceKind(RecurKind Kind) {
 
    return Kind == RecurKind::SelectICmp || Kind == RecurKind::SelectFCmp;
 
  }
 
 
 
  /// Returns the type of the recurrence. This type can be narrower than the
 
  /// actual type of the Phi if the recurrence has been type-promoted.
 
  Type *getRecurrenceType() const { return RecurrenceType; }
 
 
 
  /// Returns a reference to the instructions used for type-promoting the
 
  /// recurrence.
 
  const SmallPtrSet<Instruction *, 8> &getCastInsts() const { return CastInsts; }
 
 
 
  /// Returns the minimum width used by the recurrence in bits.
 
  unsigned getMinWidthCastToRecurrenceTypeInBits() const {
 
    return MinWidthCastToRecurrenceType;
 
  }
 
 
 
  /// Returns true if all source operands of the recurrence are SExtInsts.
 
  bool isSigned() const { return IsSigned; }
 
 
 
  /// Expose an ordered FP reduction to the instance users.
 
  bool isOrdered() const { return IsOrdered; }
 
 
 
  /// Attempts to find a chain of operations from Phi to LoopExitInst that can
 
  /// be treated as a set of reductions instructions for in-loop reductions.
 
  SmallVector<Instruction *, 4> getReductionOpChain(PHINode *Phi,
 
                                                    Loop *L) const;
 
 
 
  /// Returns true if the instruction is a call to the llvm.fmuladd intrinsic.
 
  static bool isFMulAddIntrinsic(Instruction *I) {
 
    return isa<IntrinsicInst>(I) &&
 
           cast<IntrinsicInst>(I)->getIntrinsicID() == Intrinsic::fmuladd;
 
  }
 
 
 
  /// Reductions may store temporary or final result to an invariant address.
 
  /// If there is such a store in the loop then, after successfull run of
 
  /// AddReductionVar method, this field will be assigned the last met store.
 
  StoreInst *IntermediateStore = nullptr;
 
 
 
private:
 
  // The starting value of the recurrence.
 
  // It does not have to be zero!
 
  TrackingVH<Value> StartValue;
 
  // The instruction who's value is used outside the loop.
 
  Instruction *LoopExitInstr = nullptr;
 
  // The kind of the recurrence.
 
  RecurKind Kind = RecurKind::None;
 
  // The fast-math flags on the recurrent instructions.  We propagate these
 
  // fast-math flags into the vectorized FP instructions we generate.
 
  FastMathFlags FMF;
 
  // First instance of non-reassociative floating-point in the PHI's use-chain.
 
  Instruction *ExactFPMathInst = nullptr;
 
  // The type of the recurrence.
 
  Type *RecurrenceType = nullptr;
 
  // True if all source operands of the recurrence are SExtInsts.
 
  bool IsSigned = false;
 
  // True if this recurrence can be treated as an in-order reduction.
 
  // Currently only a non-reassociative FAdd can be considered in-order,
 
  // if it is also the only FAdd in the PHI's use chain.
 
  bool IsOrdered = false;
 
  // Instructions used for type-promoting the recurrence.
 
  SmallPtrSet<Instruction *, 8> CastInsts;
 
  // The minimum width used by the recurrence.
 
  unsigned MinWidthCastToRecurrenceType;
 
};
 
 
 
/// A struct for saving information about induction variables.
 
class InductionDescriptor {
 
public:
 
  /// This enum represents the kinds of inductions that we support.
 
  enum InductionKind {
 
    IK_NoInduction,  ///< Not an induction variable.
 
    IK_IntInduction, ///< Integer induction variable. Step = C.
 
    IK_PtrInduction, ///< Pointer induction var. Step = C / sizeof(elem).
 
    IK_FpInduction   ///< Floating point induction variable.
 
  };
 
 
 
public:
 
  /// Default constructor - creates an invalid induction.
 
  InductionDescriptor() = default;
 
 
 
  Value *getStartValue() const { return StartValue; }
 
  InductionKind getKind() const { return IK; }
 
  const SCEV *getStep() const { return Step; }
 
  BinaryOperator *getInductionBinOp() const { return InductionBinOp; }
 
  ConstantInt *getConstIntStepValue() const;
 
 
 
  /// Returns true if \p Phi is an induction in the loop \p L. If \p Phi is an
 
  /// induction, the induction descriptor \p D will contain the data describing
 
  /// this induction. If by some other means the caller has a better SCEV
 
  /// expression for \p Phi than the one returned by the ScalarEvolution
 
  /// analysis, it can be passed through \p Expr. If the def-use chain
 
  /// associated with the phi includes casts (that we know we can ignore
 
  /// under proper runtime checks), they are passed through \p CastsToIgnore.
 
  static bool
 
  isInductionPHI(PHINode *Phi, const Loop *L, ScalarEvolution *SE,
 
                 InductionDescriptor &D, const SCEV *Expr = nullptr,
 
                 SmallVectorImpl<Instruction *> *CastsToIgnore = nullptr);
 
 
 
  /// Returns true if \p Phi is a floating point induction in the loop \p L.
 
  /// If \p Phi is an induction, the induction descriptor \p D will contain
 
  /// the data describing this induction.
 
  static bool isFPInductionPHI(PHINode *Phi, const Loop *L, ScalarEvolution *SE,
 
                               InductionDescriptor &D);
 
 
 
  /// Returns true if \p Phi is a loop \p L induction, in the context associated
 
  /// with the run-time predicate of PSE. If \p Assume is true, this can add
 
  /// further SCEV predicates to \p PSE in order to prove that \p Phi is an
 
  /// induction.
 
  /// If \p Phi is an induction, \p D will contain the data describing this
 
  /// induction.
 
  static bool isInductionPHI(PHINode *Phi, const Loop *L,
 
                             PredicatedScalarEvolution &PSE,
 
                             InductionDescriptor &D, bool Assume = false);
 
 
 
  /// Returns floating-point induction operator that does not allow
 
  /// reassociation (transforming the induction requires an override of normal
 
  /// floating-point rules).
 
  Instruction *getExactFPMathInst() {
 
    if (IK == IK_FpInduction && InductionBinOp &&
 
        !InductionBinOp->hasAllowReassoc())
 
      return InductionBinOp;
 
    return nullptr;
 
  }
 
 
 
  /// Returns binary opcode of the induction operator.
 
  Instruction::BinaryOps getInductionOpcode() const {
 
    return InductionBinOp ? InductionBinOp->getOpcode()
 
                          : Instruction::BinaryOpsEnd;
 
  }
 
 
 
  Type *getElementType() const {
 
    assert(IK == IK_PtrInduction && "Only pointer induction has element type");
 
    return ElementType;
 
  }
 
 
 
  /// Returns a reference to the type cast instructions in the induction
 
  /// update chain, that are redundant when guarded with a runtime
 
  /// SCEV overflow check.
 
  const SmallVectorImpl<Instruction *> &getCastInsts() const {
 
    return RedundantCasts;
 
  }
 
 
 
private:
 
  /// Private constructor - used by \c isInductionPHI.
 
  InductionDescriptor(Value *Start, InductionKind K, const SCEV *Step,
 
                      BinaryOperator *InductionBinOp = nullptr,
 
                      Type *ElementType = nullptr,
 
                      SmallVectorImpl<Instruction *> *Casts = nullptr);
 
 
 
  /// Start value.
 
  TrackingVH<Value> StartValue;
 
  /// Induction kind.
 
  InductionKind IK = IK_NoInduction;
 
  /// Step value.
 
  const SCEV *Step = nullptr;
 
  // Instruction that advances induction variable.
 
  BinaryOperator *InductionBinOp = nullptr;
 
  // Element type for pointer induction variables.
 
  // TODO: This can be dropped once support for typed pointers is removed.
 
  Type *ElementType = nullptr;
 
  // Instructions used for type-casts of the induction variable,
 
  // that are redundant when guarded with a runtime SCEV overflow check.
 
  SmallVector<Instruction *, 2> RedundantCasts;
 
};
 
 
 
} // end namespace llvm
 
 
 
#endif // LLVM_ANALYSIS_IVDESCRIPTORS_H