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+//===- IndVarSimplify.cpp - Induction Variable Elimination ----------------===//
+//
+// The LLVM Compiler Infrastructure
+//
+// This file is distributed under the University of Illinois Open Source
+// License. See LICENSE.TXT for details.
+//
+//===----------------------------------------------------------------------===//
+//
+// This transformation analyzes and transforms the induction variables (and
+// computations derived from them) into simpler forms suitable for subsequent
+// analysis and transformation.
+//
+// This transformation makes the following changes to each loop with an
+// identifiable induction variable:
+// 1. All loops are transformed to have a SINGLE canonical induction variable
+// which starts at zero and steps by one.
+// 2. The canonical induction variable is guaranteed to be the first PHI node
+// in the loop header block.
+// 3. The canonical induction variable is guaranteed to be in a wide enough
+// type so that IV expressions need not be (directly) zero-extended or
+// sign-extended.
+// 4. Any pointer arithmetic recurrences are raised to use array subscripts.
+//
+// If the trip count of a loop is computable, this pass also makes the following
+// changes:
+// 1. The exit condition for the loop is canonicalized to compare the
+// induction value against the exit value. This turns loops like:
+// 'for (i = 7; i*i < 1000; ++i)' into 'for (i = 0; i != 25; ++i)'
+// 2. Any use outside of the loop of an expression derived from the indvar
+// is changed to compute the derived value outside of the loop, eliminating
+// the dependence on the exit value of the induction variable. If the only
+// purpose of the loop is to compute the exit value of some derived
+// expression, this transformation will make the loop dead.
+//
+// This transformation should be followed by strength reduction after all of the
+// desired loop transformations have been performed.
+//
+//===----------------------------------------------------------------------===//
+
+#define DEBUG_TYPE "indvars"
+#include "llvm/Transforms/Scalar.h"
+#include "llvm/BasicBlock.h"
+#include "llvm/Constants.h"
+#include "llvm/Instructions.h"
+#include "llvm/IntrinsicInst.h"
+#include "llvm/LLVMContext.h"
+#include "llvm/Type.h"
+#include "llvm/Analysis/Dominators.h"
+#include "llvm/Analysis/IVUsers.h"
+#include "llvm/Analysis/ScalarEvolutionExpander.h"
+#include "llvm/Analysis/LoopInfo.h"
+#include "llvm/Analysis/LoopPass.h"
+#include "llvm/Support/CFG.h"
+#include "llvm/Support/CommandLine.h"
+#include "llvm/Support/Debug.h"
+#include "llvm/Support/raw_ostream.h"
+#include "llvm/Transforms/Utils/Local.h"
+#include "llvm/Transforms/Utils/BasicBlockUtils.h"
+#include "llvm/ADT/SmallVector.h"
+#include "llvm/ADT/Statistic.h"
+#include "llvm/ADT/STLExtras.h"
+using namespace llvm;
+
+STATISTIC(NumRemoved , "Number of aux indvars removed");
+STATISTIC(NumInserted, "Number of canonical indvars added");
+STATISTIC(NumReplaced, "Number of exit values replaced");
+STATISTIC(NumLFTR , "Number of loop exit tests replaced");
+
+namespace {
+ class IndVarSimplify : public LoopPass {
+ IVUsers *IU;
+ LoopInfo *LI;
+ ScalarEvolution *SE;
+ DominatorTree *DT;
+ bool Changed;
+ public:
+
+ static char ID; // Pass identification, replacement for typeid
+ IndVarSimplify() : LoopPass(&ID) {}
+
+ virtual bool runOnLoop(Loop *L, LPPassManager &LPM);
+
+ virtual void getAnalysisUsage(AnalysisUsage &AU) const {
+ AU.addRequired<DominatorTree>();
+ AU.addRequired<LoopInfo>();
+ AU.addRequired<ScalarEvolution>();
+ AU.addRequiredID(LoopSimplifyID);
+ AU.addRequiredID(LCSSAID);
+ AU.addRequired<IVUsers>();
+ AU.addPreserved<ScalarEvolution>();
+ AU.addPreservedID(LoopSimplifyID);
+ AU.addPreservedID(LCSSAID);
+ AU.addPreserved<IVUsers>();
+ AU.setPreservesCFG();
+ }
+
+ private:
+
+ void EliminateIVComparisons();
+ void EliminateIVRemainders();
+ void RewriteNonIntegerIVs(Loop *L);
+
+ ICmpInst *LinearFunctionTestReplace(Loop *L, const SCEV *BackedgeTakenCount,
+ Value *IndVar,
+ BasicBlock *ExitingBlock,
+ BranchInst *BI,
+ SCEVExpander &Rewriter);
+ void RewriteLoopExitValues(Loop *L, SCEVExpander &Rewriter);
+
+ void RewriteIVExpressions(Loop *L, SCEVExpander &Rewriter);
+
+ void SinkUnusedInvariants(Loop *L);
+
+ void HandleFloatingPointIV(Loop *L, PHINode *PH);
+ };
+}
+
+char IndVarSimplify::ID = 0;
+static RegisterPass<IndVarSimplify>
+X("indvars", "Canonicalize Induction Variables");
+
+Pass *llvm::createIndVarSimplifyPass() {
+ return new IndVarSimplify();
+}
+
+/// LinearFunctionTestReplace - This method rewrites the exit condition of the
+/// loop to be a canonical != comparison against the incremented loop induction
+/// variable. This pass is able to rewrite the exit tests of any loop where the
+/// SCEV analysis can determine a loop-invariant trip count of the loop, which
+/// is actually a much broader range than just linear tests.
+ICmpInst *IndVarSimplify::LinearFunctionTestReplace(Loop *L,
+ const SCEV *BackedgeTakenCount,
+ Value *IndVar,
+ BasicBlock *ExitingBlock,
+ BranchInst *BI,
+ SCEVExpander &Rewriter) {
+ // Special case: If the backedge-taken count is a UDiv, it's very likely a
+ // UDiv that ScalarEvolution produced in order to compute a precise
+ // expression, rather than a UDiv from the user's code. If we can't find a
+ // UDiv in the code with some simple searching, assume the former and forego
+ // rewriting the loop.
+ if (isa<SCEVUDivExpr>(BackedgeTakenCount)) {
+ ICmpInst *OrigCond = dyn_cast<ICmpInst>(BI->getCondition());
+ if (!OrigCond) return 0;
+ const SCEV *R = SE->getSCEV(OrigCond->getOperand(1));
+ R = SE->getMinusSCEV(R, SE->getConstant(R->getType(), 1));
+ if (R != BackedgeTakenCount) {
+ const SCEV *L = SE->getSCEV(OrigCond->getOperand(0));
+ L = SE->getMinusSCEV(L, SE->getConstant(L->getType(), 1));
+ if (L != BackedgeTakenCount)
+ return 0;
+ }
+ }
+
+ // If the exiting block is not the same as the backedge block, we must compare
+ // against the preincremented value, otherwise we prefer to compare against
+ // the post-incremented value.
+ Value *CmpIndVar;
+ const SCEV *RHS = BackedgeTakenCount;
+ if (ExitingBlock == L->getLoopLatch()) {
+ // Add one to the "backedge-taken" count to get the trip count.
+ // If this addition may overflow, we have to be more pessimistic and
+ // cast the induction variable before doing the add.
+ const SCEV *Zero = SE->getConstant(BackedgeTakenCount->getType(), 0);
+ const SCEV *N =
+ SE->getAddExpr(BackedgeTakenCount,
+ SE->getConstant(BackedgeTakenCount->getType(), 1));
+ if ((isa<SCEVConstant>(N) && !N->isZero()) ||
+ SE->isLoopEntryGuardedByCond(L, ICmpInst::ICMP_NE, N, Zero)) {
+ // No overflow. Cast the sum.
+ RHS = SE->getTruncateOrZeroExtend(N, IndVar->getType());
+ } else {
+ // Potential overflow. Cast before doing the add.
+ RHS = SE->getTruncateOrZeroExtend(BackedgeTakenCount,
+ IndVar->getType());
+ RHS = SE->getAddExpr(RHS,
+ SE->getConstant(IndVar->getType(), 1));
+ }
+
+ // The BackedgeTaken expression contains the number of times that the
+ // backedge branches to the loop header. This is one less than the
+ // number of times the loop executes, so use the incremented indvar.
+ CmpIndVar = L->getCanonicalInductionVariableIncrement();
+ } else {
+ // We have to use the preincremented value...
+ RHS = SE->getTruncateOrZeroExtend(BackedgeTakenCount,
+ IndVar->getType());
+ CmpIndVar = IndVar;
+ }
+
+ // Expand the code for the iteration count.
+ assert(RHS->isLoopInvariant(L) &&
+ "Computed iteration count is not loop invariant!");
+ Value *ExitCnt = Rewriter.expandCodeFor(RHS, IndVar->getType(), BI);
+
+ // Insert a new icmp_ne or icmp_eq instruction before the branch.
+ ICmpInst::Predicate Opcode;
+ if (L->contains(BI->getSuccessor(0)))
+ Opcode = ICmpInst::ICMP_NE;
+ else
+ Opcode = ICmpInst::ICMP_EQ;
+
+ DEBUG(dbgs() << "INDVARS: Rewriting loop exit condition to:\n"
+ << " LHS:" << *CmpIndVar << '\n'
+ << " op:\t"
+ << (Opcode == ICmpInst::ICMP_NE ? "!=" : "==") << "\n"
+ << " RHS:\t" << *RHS << "\n");
+
+ ICmpInst *Cond = new ICmpInst(BI, Opcode, CmpIndVar, ExitCnt, "exitcond");
+
+ Value *OrigCond = BI->getCondition();
+ // It's tempting to use replaceAllUsesWith here to fully replace the old
+ // comparison, but that's not immediately safe, since users of the old
+ // comparison may not be dominated by the new comparison. Instead, just
+ // update the branch to use the new comparison; in the common case this
+ // will make old comparison dead.
+ BI->setCondition(Cond);
+ RecursivelyDeleteTriviallyDeadInstructions(OrigCond);
+
+ ++NumLFTR;
+ Changed = true;
+ return Cond;
+}
+
+/// RewriteLoopExitValues - Check to see if this loop has a computable
+/// loop-invariant execution count. If so, this means that we can compute the
+/// final value of any expressions that are recurrent in the loop, and
+/// substitute the exit values from the loop into any instructions outside of
+/// the loop that use the final values of the current expressions.
+///
+/// This is mostly redundant with the regular IndVarSimplify activities that
+/// happen later, except that it's more powerful in some cases, because it's
+/// able to brute-force evaluate arbitrary instructions as long as they have
+/// constant operands at the beginning of the loop.
+void IndVarSimplify::RewriteLoopExitValues(Loop *L,
+ SCEVExpander &Rewriter) {
+ // Verify the input to the pass in already in LCSSA form.
+ assert(L->isLCSSAForm(*DT));
+
+ SmallVector<BasicBlock*, 8> ExitBlocks;
+ L->getUniqueExitBlocks(ExitBlocks);
+
+ // Find all values that are computed inside the loop, but used outside of it.
+ // Because of LCSSA, these values will only occur in LCSSA PHI Nodes. Scan
+ // the exit blocks of the loop to find them.
+ for (unsigned i = 0, e = ExitBlocks.size(); i != e; ++i) {
+ BasicBlock *ExitBB = ExitBlocks[i];
+
+ // If there are no PHI nodes in this exit block, then no values defined
+ // inside the loop are used on this path, skip it.
+ PHINode *PN = dyn_cast<PHINode>(ExitBB->begin());
+ if (!PN) continue;
+
+ unsigned NumPreds = PN->getNumIncomingValues();
+
+ // Iterate over all of the PHI nodes.
+ BasicBlock::iterator BBI = ExitBB->begin();
+ while ((PN = dyn_cast<PHINode>(BBI++))) {
+ if (PN->use_empty())
+ continue; // dead use, don't replace it
+
+ // SCEV only supports integer expressions for now.
+ if (!PN->getType()->isIntegerTy() && !PN->getType()->isPointerTy())
+ continue;
+
+ // It's necessary to tell ScalarEvolution about this explicitly so that
+ // it can walk the def-use list and forget all SCEVs, as it may not be
+ // watching the PHI itself. Once the new exit value is in place, there
+ // may not be a def-use connection between the loop and every instruction
+ // which got a SCEVAddRecExpr for that loop.
+ SE->forgetValue(PN);
+
+ // Iterate over all of the values in all the PHI nodes.
+ for (unsigned i = 0; i != NumPreds; ++i) {
+ // If the value being merged in is not integer or is not defined
+ // in the loop, skip it.
+ Value *InVal = PN->getIncomingValue(i);
+ if (!isa<Instruction>(InVal))
+ continue;
+
+ // If this pred is for a subloop, not L itself, skip it.
+ if (LI->getLoopFor(PN->getIncomingBlock(i)) != L)
+ continue; // The Block is in a subloop, skip it.
+
+ // Check that InVal is defined in the loop.
+ Instruction *Inst = cast<Instruction>(InVal);
+ if (!L->contains(Inst))
+ continue;
+
+ // Okay, this instruction has a user outside of the current loop
+ // and varies predictably *inside* the loop. Evaluate the value it
+ // contains when the loop exits, if possible.
+ const SCEV *ExitValue = SE->getSCEVAtScope(Inst, L->getParentLoop());
+ if (!ExitValue->isLoopInvariant(L))
+ continue;
+
+ Changed = true;
+ ++NumReplaced;
+
+ Value *ExitVal = Rewriter.expandCodeFor(ExitValue, PN->getType(), Inst);
+
+ DEBUG(dbgs() << "INDVARS: RLEV: AfterLoopVal = " << *ExitVal << '\n'
+ << " LoopVal = " << *Inst << "\n");
+
+ PN->setIncomingValue(i, ExitVal);
+
+ // If this instruction is dead now, delete it.
+ RecursivelyDeleteTriviallyDeadInstructions(Inst);
+
+ if (NumPreds == 1) {
+ // Completely replace a single-pred PHI. This is safe, because the
+ // NewVal won't be variant in the loop, so we don't need an LCSSA phi
+ // node anymore.
+ PN->replaceAllUsesWith(ExitVal);
+ RecursivelyDeleteTriviallyDeadInstructions(PN);
+ }
+ }
+ if (NumPreds != 1) {
+ // Clone the PHI and delete the original one. This lets IVUsers and
+ // any other maps purge the original user from their records.
+ PHINode *NewPN = cast<PHINode>(PN->clone());
+ NewPN->takeName(PN);
+ NewPN->insertBefore(PN);
+ PN->replaceAllUsesWith(NewPN);
+ PN->eraseFromParent();
+ }
+ }
+ }
+
+ // The insertion point instruction may have been deleted; clear it out
+ // so that the rewriter doesn't trip over it later.
+ Rewriter.clearInsertPoint();
+}
+
+void IndVarSimplify::RewriteNonIntegerIVs(Loop *L) {
+ // First step. Check to see if there are any floating-point recurrences.
+ // If there are, change them into integer recurrences, permitting analysis by
+ // the SCEV routines.
+ //
+ BasicBlock *Header = L->getHeader();
+
+ SmallVector<WeakVH, 8> PHIs;
+ for (BasicBlock::iterator I = Header->begin();
+ PHINode *PN = dyn_cast<PHINode>(I); ++I)
+ PHIs.push_back(PN);
+
+ for (unsigned i = 0, e = PHIs.size(); i != e; ++i)
+ if (PHINode *PN = dyn_cast_or_null<PHINode>(PHIs[i]))
+ HandleFloatingPointIV(L, PN);
+
+ // If the loop previously had floating-point IV, ScalarEvolution
+ // may not have been able to compute a trip count. Now that we've done some
+ // re-writing, the trip count may be computable.
+ if (Changed)
+ SE->forgetLoop(L);
+}
+
+void IndVarSimplify::EliminateIVComparisons() {
+ SmallVector<WeakVH, 16> DeadInsts;
+
+ // Look for ICmp users.
+ for (IVUsers::iterator I = IU->begin(), E = IU->end(); I != E; ++I) {
+ IVStrideUse &UI = *I;
+ ICmpInst *ICmp = dyn_cast<ICmpInst>(UI.getUser());
+ if (!ICmp) continue;
+
+ bool Swapped = UI.getOperandValToReplace() == ICmp->getOperand(1);
+ ICmpInst::Predicate Pred = ICmp->getPredicate();
+ if (Swapped) Pred = ICmpInst::getSwappedPredicate(Pred);
+
+ // Get the SCEVs for the ICmp operands.
+ const SCEV *S = IU->getReplacementExpr(UI);
+ const SCEV *X = SE->getSCEV(ICmp->getOperand(!Swapped));
+
+ // Simplify unnecessary loops away.
+ const Loop *ICmpLoop = LI->getLoopFor(ICmp->getParent());
+ S = SE->getSCEVAtScope(S, ICmpLoop);
+ X = SE->getSCEVAtScope(X, ICmpLoop);
+
+ // If the condition is always true or always false, replace it with
+ // a constant value.
+ if (SE->isKnownPredicate(Pred, S, X))
+ ICmp->replaceAllUsesWith(ConstantInt::getTrue(ICmp->getContext()));
+ else if (SE->isKnownPredicate(ICmpInst::getInversePredicate(Pred), S, X))
+ ICmp->replaceAllUsesWith(ConstantInt::getFalse(ICmp->getContext()));
+ else
+ continue;
+
+ DEBUG(dbgs() << "INDVARS: Eliminated comparison: " << *ICmp << '\n');
+ DeadInsts.push_back(ICmp);
+ }
+
+ // Now that we're done iterating through lists, clean up any instructions
+ // which are now dead.
+ while (!DeadInsts.empty())
+ if (Instruction *Inst =
+ dyn_cast_or_null<Instruction>(DeadInsts.pop_back_val()))
+ RecursivelyDeleteTriviallyDeadInstructions(Inst);
+}
+
+void IndVarSimplify::EliminateIVRemainders() {
+ SmallVector<WeakVH, 16> DeadInsts;
+
+ // Look for SRem and URem users.
+ for (IVUsers::iterator I = IU->begin(), E = IU->end(); I != E; ++I) {
+ IVStrideUse &UI = *I;
+ BinaryOperator *Rem = dyn_cast<BinaryOperator>(UI.getUser());
+ if (!Rem) continue;
+
+ bool isSigned = Rem->getOpcode() == Instruction::SRem;
+ if (!isSigned && Rem->getOpcode() != Instruction::URem)
+ continue;
+
+ // We're only interested in the case where we know something about
+ // the numerator.
+ if (UI.getOperandValToReplace() != Rem->getOperand(0))
+ continue;
+
+ // Get the SCEVs for the ICmp operands.
+ const SCEV *S = SE->getSCEV(Rem->getOperand(0));
+ const SCEV *X = SE->getSCEV(Rem->getOperand(1));
+
+ // Simplify unnecessary loops away.
+ const Loop *ICmpLoop = LI->getLoopFor(Rem->getParent());
+ S = SE->getSCEVAtScope(S, ICmpLoop);
+ X = SE->getSCEVAtScope(X, ICmpLoop);
+
+ // i % n --> i if i is in [0,n).
+ if ((!isSigned || SE->isKnownNonNegative(S)) &&
+ SE->isKnownPredicate(isSigned ? ICmpInst::ICMP_SLT : ICmpInst::ICMP_ULT,
+ S, X))
+ Rem->replaceAllUsesWith(Rem->getOperand(0));
+ else {
+ // (i+1) % n --> (i+1)==n?0:(i+1) if i is in [0,n).
+ const SCEV *LessOne =
+ SE->getMinusSCEV(S, SE->getConstant(S->getType(), 1));
+ if ((!isSigned || SE->isKnownNonNegative(LessOne)) &&
+ SE->isKnownPredicate(isSigned ? ICmpInst::ICMP_SLT : ICmpInst::ICMP_ULT,
+ LessOne, X)) {
+ ICmpInst *ICmp = new ICmpInst(Rem, ICmpInst::ICMP_EQ,
+ Rem->getOperand(0), Rem->getOperand(1),
+ "tmp");
+ SelectInst *Sel =
+ SelectInst::Create(ICmp,
+ ConstantInt::get(Rem->getType(), 0),
+ Rem->getOperand(0), "tmp", Rem);
+ Rem->replaceAllUsesWith(Sel);
+ } else
+ continue;
+ }
+
+ // Inform IVUsers about the new users.
+ if (Instruction *I = dyn_cast<Instruction>(Rem->getOperand(0)))
+ IU->AddUsersIfInteresting(I);
+
+ DEBUG(dbgs() << "INDVARS: Simplified rem: " << *Rem << '\n');
+ DeadInsts.push_back(Rem);
+ }
+
+ // Now that we're done iterating through lists, clean up any instructions
+ // which are now dead.
+ while (!DeadInsts.empty())
+ if (Instruction *Inst =
+ dyn_cast_or_null<Instruction>(DeadInsts.pop_back_val()))
+ RecursivelyDeleteTriviallyDeadInstructions(Inst);
+}
+
+bool IndVarSimplify::runOnLoop(Loop *L, LPPassManager &LPM) {
+ IU = &getAnalysis<IVUsers>();
+ LI = &getAnalysis<LoopInfo>();
+ SE = &getAnalysis<ScalarEvolution>();
+ DT = &getAnalysis<DominatorTree>();
+ Changed = false;
+
+ // If there are any floating-point recurrences, attempt to
+ // transform them to use integer recurrences.
+ RewriteNonIntegerIVs(L);
+
+ BasicBlock *ExitingBlock = L->getExitingBlock(); // may be null
+ const SCEV *BackedgeTakenCount = SE->getBackedgeTakenCount(L);
+
+ // Create a rewriter object which we'll use to transform the code with.
+ SCEVExpander Rewriter(*SE);
+
+ // Check to see if this loop has a computable loop-invariant execution count.
+ // If so, this means that we can compute the final value of any expressions
+ // that are recurrent in the loop, and substitute the exit values from the
+ // loop into any instructions outside of the loop that use the final values of
+ // the current expressions.
+ //
+ if (!isa<SCEVCouldNotCompute>(BackedgeTakenCount))
+ RewriteLoopExitValues(L, Rewriter);
+
+ // Simplify ICmp IV users.
+ EliminateIVComparisons();
+
+ // Simplify SRem and URem IV users.
+ EliminateIVRemainders();
+
+ // Compute the type of the largest recurrence expression, and decide whether
+ // a canonical induction variable should be inserted.
+ const Type *LargestType = 0;
+ bool NeedCannIV = false;
+ if (!isa<SCEVCouldNotCompute>(BackedgeTakenCount)) {
+ LargestType = BackedgeTakenCount->getType();
+ LargestType = SE->getEffectiveSCEVType(LargestType);
+ // If we have a known trip count and a single exit block, we'll be
+ // rewriting the loop exit test condition below, which requires a
+ // canonical induction variable.
+ if (ExitingBlock)
+ NeedCannIV = true;
+ }
+ for (IVUsers::const_iterator I = IU->begin(), E = IU->end(); I != E; ++I) {
+ const Type *Ty =
+ SE->getEffectiveSCEVType(I->getOperandValToReplace()->getType());
+ if (!LargestType ||
+ SE->getTypeSizeInBits(Ty) >
+ SE->getTypeSizeInBits(LargestType))
+ LargestType = Ty;
+ NeedCannIV = true;
+ }
+
+ // Now that we know the largest of the induction variable expressions
+ // in this loop, insert a canonical induction variable of the largest size.
+ Value *IndVar = 0;
+ if (NeedCannIV) {
+ // Check to see if the loop already has any canonical-looking induction
+ // variables. If any are present and wider than the planned canonical
+ // induction variable, temporarily remove them, so that the Rewriter
+ // doesn't attempt to reuse them.
+ SmallVector<PHINode *, 2> OldCannIVs;
+ while (PHINode *OldCannIV = L->getCanonicalInductionVariable()) {
+ if (SE->getTypeSizeInBits(OldCannIV->getType()) >
+ SE->getTypeSizeInBits(LargestType))
+ OldCannIV->removeFromParent();
+ else
+ break;
+ OldCannIVs.push_back(OldCannIV);
+ }
+
+ IndVar = Rewriter.getOrInsertCanonicalInductionVariable(L, LargestType);
+
+ ++NumInserted;
+ Changed = true;
+ DEBUG(dbgs() << "INDVARS: New CanIV: " << *IndVar << '\n');
+
+ // Now that the official induction variable is established, reinsert
+ // any old canonical-looking variables after it so that the IR remains
+ // consistent. They will be deleted as part of the dead-PHI deletion at
+ // the end of the pass.
+ while (!OldCannIVs.empty()) {
+ PHINode *OldCannIV = OldCannIVs.pop_back_val();
+ OldCannIV->insertBefore(L->getHeader()->getFirstNonPHI());
+ }
+ }
+
+ // If we have a trip count expression, rewrite the loop's exit condition
+ // using it. We can currently only handle loops with a single exit.
+ ICmpInst *NewICmp = 0;
+ if (!isa<SCEVCouldNotCompute>(BackedgeTakenCount) &&
+ !BackedgeTakenCount->isZero() &&
+ ExitingBlock) {
+ assert(NeedCannIV &&
+ "LinearFunctionTestReplace requires a canonical induction variable");
+ // Can't rewrite non-branch yet.
+ if (BranchInst *BI = dyn_cast<BranchInst>(ExitingBlock->getTerminator()))
+ NewICmp = LinearFunctionTestReplace(L, BackedgeTakenCount, IndVar,
+ ExitingBlock, BI, Rewriter);
+ }
+
+ // Rewrite IV-derived expressions. Clears the rewriter cache.
+ RewriteIVExpressions(L, Rewriter);
+
+ // The Rewriter may not be used from this point on.
+
+ // Loop-invariant instructions in the preheader that aren't used in the
+ // loop may be sunk below the loop to reduce register pressure.
+ SinkUnusedInvariants(L);
+
+ // For completeness, inform IVUsers of the IV use in the newly-created
+ // loop exit test instruction.
+ if (NewICmp)
+ IU->AddUsersIfInteresting(cast<Instruction>(NewICmp->getOperand(0)));
+
+ // Clean up dead instructions.
+ Changed |= DeleteDeadPHIs(L->getHeader());
+ // Check a post-condition.
+ assert(L->isLCSSAForm(*DT) && "Indvars did not leave the loop in lcssa form!");
+ return Changed;
+}
+
+// FIXME: It is an extremely bad idea to indvar substitute anything more
+// complex than affine induction variables. Doing so will put expensive
+// polynomial evaluations inside of the loop, and the str reduction pass
+// currently can only reduce affine polynomials. For now just disable
+// indvar subst on anything more complex than an affine addrec, unless
+// it can be expanded to a trivial value.
+static bool isSafe(const SCEV *S, const Loop *L) {
+ // Loop-invariant values are safe.
+ if (S->isLoopInvariant(L)) return true;
+
+ // Affine addrecs are safe. Non-affine are not, because LSR doesn't know how
+ // to transform them into efficient code.
+ if (const SCEVAddRecExpr *AR = dyn_cast<SCEVAddRecExpr>(S))
+ return AR->isAffine();
+
+ // An add is safe it all its operands are safe.
+ if (const SCEVCommutativeExpr *Commutative = dyn_cast<SCEVCommutativeExpr>(S)) {
+ for (SCEVCommutativeExpr::op_iterator I = Commutative->op_begin(),
+ E = Commutative->op_end(); I != E; ++I)
+ if (!isSafe(*I, L)) return false;
+ return true;
+ }
+
+ // A cast is safe if its operand is.
+ if (const SCEVCastExpr *C = dyn_cast<SCEVCastExpr>(S))
+ return isSafe(C->getOperand(), L);
+
+ // A udiv is safe if its operands are.
+ if (const SCEVUDivExpr *UD = dyn_cast<SCEVUDivExpr>(S))
+ return isSafe(UD->getLHS(), L) &&
+ isSafe(UD->getRHS(), L);
+
+ // SCEVUnknown is always safe.
+ if (isa<SCEVUnknown>(S))
+ return true;
+
+ // Nothing else is safe.
+ return false;
+}
+
+void IndVarSimplify::RewriteIVExpressions(Loop *L, SCEVExpander &Rewriter) {
+ SmallVector<WeakVH, 16> DeadInsts;
+
+ // Rewrite all induction variable expressions in terms of the canonical
+ // induction variable.
+ //
+ // If there were induction variables of other sizes or offsets, manually
+ // add the offsets to the primary induction variable and cast, avoiding
+ // the need for the code evaluation methods to insert induction variables
+ // of different sizes.
+ for (IVUsers::iterator UI = IU->begin(), E = IU->end(); UI != E; ++UI) {
+ Value *Op = UI->getOperandValToReplace();
+ const Type *UseTy = Op->getType();
+ Instruction *User = UI->getUser();
+
+ // Compute the final addrec to expand into code.
+ const SCEV *AR = IU->getReplacementExpr(*UI);
+
+ // Evaluate the expression out of the loop, if possible.
+ if (!L->contains(UI->getUser())) {
+ const SCEV *ExitVal = SE->getSCEVAtScope(AR, L->getParentLoop());
+ if (ExitVal->isLoopInvariant(L))
+ AR = ExitVal;
+ }
+
+ // FIXME: It is an extremely bad idea to indvar substitute anything more
+ // complex than affine induction variables. Doing so will put expensive
+ // polynomial evaluations inside of the loop, and the str reduction pass
+ // currently can only reduce affine polynomials. For now just disable
+ // indvar subst on anything more complex than an affine addrec, unless
+ // it can be expanded to a trivial value.
+ if (!isSafe(AR, L))
+ continue;
+
+ // Determine the insertion point for this user. By default, insert
+ // immediately before the user. The SCEVExpander class will automatically
+ // hoist loop invariants out of the loop. For PHI nodes, there may be
+ // multiple uses, so compute the nearest common dominator for the
+ // incoming blocks.
+ Instruction *InsertPt = User;
+ if (PHINode *PHI = dyn_cast<PHINode>(InsertPt))
+ for (unsigned i = 0, e = PHI->getNumIncomingValues(); i != e; ++i)
+ if (PHI->getIncomingValue(i) == Op) {
+ if (InsertPt == User)
+ InsertPt = PHI->getIncomingBlock(i)->getTerminator();
+ else
+ InsertPt =
+ DT->findNearestCommonDominator(InsertPt->getParent(),
+ PHI->getIncomingBlock(i))
+ ->getTerminator();
+ }
+
+ // Now expand it into actual Instructions and patch it into place.
+ Value *NewVal = Rewriter.expandCodeFor(AR, UseTy, InsertPt);
+
+ // Inform ScalarEvolution that this value is changing. The change doesn't
+ // affect its value, but it does potentially affect which use lists the
+ // value will be on after the replacement, which affects ScalarEvolution's
+ // ability to walk use lists and drop dangling pointers when a value is
+ // deleted.
+ SE->forgetValue(User);
+
+ // Patch the new value into place.
+ if (Op->hasName())
+ NewVal->takeName(Op);
+ User->replaceUsesOfWith(Op, NewVal);
+ UI->setOperandValToReplace(NewVal);
+ DEBUG(dbgs() << "INDVARS: Rewrote IV '" << *AR << "' " << *Op << '\n'
+ << " into = " << *NewVal << "\n");
+ ++NumRemoved;
+ Changed = true;
+
+ // The old value may be dead now.
+ DeadInsts.push_back(Op);
+ }
+
+ // Clear the rewriter cache, because values that are in the rewriter's cache
+ // can be deleted in the loop below, causing the AssertingVH in the cache to
+ // trigger.
+ Rewriter.clear();
+ // Now that we're done iterating through lists, clean up any instructions
+ // which are now dead.
+ while (!DeadInsts.empty())
+ if (Instruction *Inst =
+ dyn_cast_or_null<Instruction>(DeadInsts.pop_back_val()))
+ RecursivelyDeleteTriviallyDeadInstructions(Inst);
+}
+
+/// If there's a single exit block, sink any loop-invariant values that
+/// were defined in the preheader but not used inside the loop into the
+/// exit block to reduce register pressure in the loop.
+void IndVarSimplify::SinkUnusedInvariants(Loop *L) {
+ BasicBlock *ExitBlock = L->getExitBlock();
+ if (!ExitBlock) return;
+
+ BasicBlock *Preheader = L->getLoopPreheader();
+ if (!Preheader) return;
+
+ Instruction *InsertPt = ExitBlock->getFirstNonPHI();
+ BasicBlock::iterator I = Preheader->getTerminator();
+ while (I != Preheader->begin()) {
+ --I;
+ // New instructions were inserted at the end of the preheader.
+ if (isa<PHINode>(I))
+ break;
+
+ // Don't move instructions which might have side effects, since the side
+ // effects need to complete before instructions inside the loop. Also don't
+ // move instructions which might read memory, since the loop may modify
+ // memory. Note that it's okay if the instruction might have undefined
+ // behavior: LoopSimplify guarantees that the preheader dominates the exit
+ // block.
+ if (I->mayHaveSideEffects() || I->mayReadFromMemory())
+ continue;
+
+ // Skip debug info intrinsics.
+ if (isa<DbgInfoIntrinsic>(I))
+ continue;
+
+ // Don't sink static AllocaInsts out of the entry block, which would
+ // turn them into dynamic allocas!
+ if (AllocaInst *AI = dyn_cast<AllocaInst>(I))
+ if (AI->isStaticAlloca())
+ continue;
+
+ // Determine if there is a use in or before the loop (direct or
+ // otherwise).
+ bool UsedInLoop = false;
+ for (Value::use_iterator UI = I->use_begin(), UE = I->use_end();
+ UI != UE; ++UI) {
+ BasicBlock *UseBB = cast<Instruction>(UI)->getParent();
+ if (PHINode *P = dyn_cast<PHINode>(UI)) {
+ unsigned i =
+ PHINode::getIncomingValueNumForOperand(UI.getOperandNo());
+ UseBB = P->getIncomingBlock(i);
+ }
+ if (UseBB == Preheader || L->contains(UseBB)) {
+ UsedInLoop = true;
+ break;
+ }
+ }
+
+ // If there is, the def must remain in the preheader.
+ if (UsedInLoop)
+ continue;
+
+ // Otherwise, sink it to the exit block.
+ Instruction *ToMove = I;
+ bool Done = false;
+
+ if (I != Preheader->begin()) {
+ // Skip debug info intrinsics.
+ do {
+ --I;
+ } while (isa<DbgInfoIntrinsic>(I) && I != Preheader->begin());
+
+ if (isa<DbgInfoIntrinsic>(I) && I == Preheader->begin())
+ Done = true;
+ } else {
+ Done = true;
+ }
+
+ ToMove->moveBefore(InsertPt);
+ if (Done) break;
+ InsertPt = ToMove;
+ }
+}
+
+/// ConvertToSInt - Convert APF to an integer, if possible.
+static bool ConvertToSInt(const APFloat &APF, int64_t &IntVal) {
+ bool isExact = false;
+ if (&APF.getSemantics() == &APFloat::PPCDoubleDouble)
+ return false;
+ // See if we can convert this to an int64_t
+ uint64_t UIntVal;
+ if (APF.convertToInteger(&UIntVal, 64, true, APFloat::rmTowardZero,
+ &isExact) != APFloat::opOK || !isExact)
+ return false;
+ IntVal = UIntVal;
+ return true;
+}
+
+/// HandleFloatingPointIV - If the loop has floating induction variable
+/// then insert corresponding integer induction variable if possible.
+/// For example,
+/// for(double i = 0; i < 10000; ++i)
+/// bar(i)
+/// is converted into
+/// for(int i = 0; i < 10000; ++i)
+/// bar((double)i);
+///
+void IndVarSimplify::HandleFloatingPointIV(Loop *L, PHINode *PN) {
+ unsigned IncomingEdge = L->contains(PN->getIncomingBlock(0));
+ unsigned BackEdge = IncomingEdge^1;
+
+ // Check incoming value.
+ ConstantFP *InitValueVal =
+ dyn_cast<ConstantFP>(PN->getIncomingValue(IncomingEdge));
+
+ int64_t InitValue;
+ if (!InitValueVal || !ConvertToSInt(InitValueVal->getValueAPF(), InitValue))
+ return;
+
+ // Check IV increment. Reject this PN if increment operation is not
+ // an add or increment value can not be represented by an integer.
+ BinaryOperator *Incr =
+ dyn_cast<BinaryOperator>(PN->getIncomingValue(BackEdge));
+ if (Incr == 0 || Incr->getOpcode() != Instruction::FAdd) return;
+
+ // If this is not an add of the PHI with a constantfp, or if the constant fp
+ // is not an integer, bail out.
+ ConstantFP *IncValueVal = dyn_cast<ConstantFP>(Incr->getOperand(1));
+ int64_t IncValue;
+ if (IncValueVal == 0 || Incr->getOperand(0) != PN ||
+ !ConvertToSInt(IncValueVal->getValueAPF(), IncValue))
+ return;
+
+ // Check Incr uses. One user is PN and the other user is an exit condition
+ // used by the conditional terminator.
+ Value::use_iterator IncrUse = Incr->use_begin();
+ Instruction *U1 = cast<Instruction>(IncrUse++);
+ if (IncrUse == Incr->use_end()) return;
+ Instruction *U2 = cast<Instruction>(IncrUse++);
+ if (IncrUse != Incr->use_end()) return;
+
+ // Find exit condition, which is an fcmp. If it doesn't exist, or if it isn't
+ // only used by a branch, we can't transform it.
+ FCmpInst *Compare = dyn_cast<FCmpInst>(U1);
+ if (!Compare)
+ Compare = dyn_cast<FCmpInst>(U2);
+ if (Compare == 0 || !Compare->hasOneUse() ||
+ !isa<BranchInst>(Compare->use_back()))
+ return;
+
+ BranchInst *TheBr = cast<BranchInst>(Compare->use_back());
+
+ // We need to verify that the branch actually controls the iteration count
+ // of the loop. If not, the new IV can overflow and no one will notice.
+ // The branch block must be in the loop and one of the successors must be out
+ // of the loop.
+ assert(TheBr->isConditional() && "Can't use fcmp if not conditional");
+ if (!L->contains(TheBr->getParent()) ||
+ (L->contains(TheBr->getSuccessor(0)) &&
+ L->contains(TheBr->getSuccessor(1))))
+ return;
+
+
+ // If it isn't a comparison with an integer-as-fp (the exit value), we can't
+ // transform it.
+ ConstantFP *ExitValueVal = dyn_cast<ConstantFP>(Compare->getOperand(1));
+ int64_t ExitValue;
+ if (ExitValueVal == 0 ||
+ !ConvertToSInt(ExitValueVal->getValueAPF(), ExitValue))
+ return;
+
+ // Find new predicate for integer comparison.
+ CmpInst::Predicate NewPred = CmpInst::BAD_ICMP_PREDICATE;
+ switch (Compare->getPredicate()) {
+ default: return; // Unknown comparison.
+ case CmpInst::FCMP_OEQ:
+ case CmpInst::FCMP_UEQ: NewPred = CmpInst::ICMP_EQ; break;
+ case CmpInst::FCMP_ONE:
+ case CmpInst::FCMP_UNE: NewPred = CmpInst::ICMP_NE; break;
+ case CmpInst::FCMP_OGT:
+ case CmpInst::FCMP_UGT: NewPred = CmpInst::ICMP_SGT; break;
+ case CmpInst::FCMP_OGE:
+ case CmpInst::FCMP_UGE: NewPred = CmpInst::ICMP_SGE; break;
+ case CmpInst::FCMP_OLT:
+ case CmpInst::FCMP_ULT: NewPred = CmpInst::ICMP_SLT; break;
+ case CmpInst::FCMP_OLE:
+ case CmpInst::FCMP_ULE: NewPred = CmpInst::ICMP_SLE; break;
+ }
+
+ // We convert the floating point induction variable to a signed i32 value if
+ // we can. This is only safe if the comparison will not overflow in a way
+ // that won't be trapped by the integer equivalent operations. Check for this
+ // now.
+ // TODO: We could use i64 if it is native and the range requires it.
+
+ // The start/stride/exit values must all fit in signed i32.
+ if (!isInt<32>(InitValue) || !isInt<32>(IncValue) || !isInt<32>(ExitValue))
+ return;
+
+ // If not actually striding (add x, 0.0), avoid touching the code.
+ if (IncValue == 0)
+ return;
+
+ // Positive and negative strides have different safety conditions.
+ if (IncValue > 0) {
+ // If we have a positive stride, we require the init to be less than the
+ // exit value and an equality or less than comparison.
+ if (InitValue >= ExitValue ||
+ NewPred == CmpInst::ICMP_SGT || NewPred == CmpInst::ICMP_SGE)
+ return;
+
+ uint32_t Range = uint32_t(ExitValue-InitValue);
+ if (NewPred == CmpInst::ICMP_SLE) {
+ // Normalize SLE -> SLT, check for infinite loop.
+ if (++Range == 0) return; // Range overflows.
+ }
+
+ unsigned Leftover = Range % uint32_t(IncValue);
+
+ // If this is an equality comparison, we require that the strided value
+ // exactly land on the exit value, otherwise the IV condition will wrap
+ // around and do things the fp IV wouldn't.
+ if ((NewPred == CmpInst::ICMP_EQ || NewPred == CmpInst::ICMP_NE) &&
+ Leftover != 0)
+ return;
+
+ // If the stride would wrap around the i32 before exiting, we can't
+ // transform the IV.
+ if (Leftover != 0 && int32_t(ExitValue+IncValue) < ExitValue)
+ return;
+
+ } else {
+ // If we have a negative stride, we require the init to be greater than the
+ // exit value and an equality or greater than comparison.
+ if (InitValue >= ExitValue ||
+ NewPred == CmpInst::ICMP_SLT || NewPred == CmpInst::ICMP_SLE)
+ return;
+
+ uint32_t Range = uint32_t(InitValue-ExitValue);
+ if (NewPred == CmpInst::ICMP_SGE) {
+ // Normalize SGE -> SGT, check for infinite loop.
+ if (++Range == 0) return; // Range overflows.
+ }
+
+ unsigned Leftover = Range % uint32_t(-IncValue);
+
+ // If this is an equality comparison, we require that the strided value
+ // exactly land on the exit value, otherwise the IV condition will wrap
+ // around and do things the fp IV wouldn't.
+ if ((NewPred == CmpInst::ICMP_EQ || NewPred == CmpInst::ICMP_NE) &&
+ Leftover != 0)
+ return;
+
+ // If the stride would wrap around the i32 before exiting, we can't
+ // transform the IV.
+ if (Leftover != 0 && int32_t(ExitValue+IncValue) > ExitValue)
+ return;
+ }
+
+ const IntegerType *Int32Ty = Type::getInt32Ty(PN->getContext());
+
+ // Insert new integer induction variable.
+ PHINode *NewPHI = PHINode::Create(Int32Ty, PN->getName()+".int", PN);
+ NewPHI->addIncoming(ConstantInt::get(Int32Ty, InitValue),
+ PN->getIncomingBlock(IncomingEdge));
+
+ Value *NewAdd =
+ BinaryOperator::CreateAdd(NewPHI, ConstantInt::get(Int32Ty, IncValue),
+ Incr->getName()+".int", Incr);
+ NewPHI->addIncoming(NewAdd, PN->getIncomingBlock(BackEdge));
+
+ ICmpInst *NewCompare = new ICmpInst(TheBr, NewPred, NewAdd,
+ ConstantInt::get(Int32Ty, ExitValue),
+ Compare->getName());
+
+ // In the following deletions, PN may become dead and may be deleted.
+ // Use a WeakVH to observe whether this happens.
+ WeakVH WeakPH = PN;
+
+ // Delete the old floating point exit comparison. The branch starts using the
+ // new comparison.
+ NewCompare->takeName(Compare);
+ Compare->replaceAllUsesWith(NewCompare);
+ RecursivelyDeleteTriviallyDeadInstructions(Compare);
+
+ // Delete the old floating point increment.
+ Incr->replaceAllUsesWith(UndefValue::get(Incr->getType()));
+ RecursivelyDeleteTriviallyDeadInstructions(Incr);
+
+ // If the FP induction variable still has uses, this is because something else
+ // in the loop uses its value. In order to canonicalize the induction
+ // variable, we chose to eliminate the IV and rewrite it in terms of an
+ // int->fp cast.
+ //
+ // We give preference to sitofp over uitofp because it is faster on most
+ // platforms.
+ if (WeakPH) {
+ Value *Conv = new SIToFPInst(NewPHI, PN->getType(), "indvar.conv",
+ PN->getParent()->getFirstNonPHI());
+ PN->replaceAllUsesWith(Conv);
+ RecursivelyDeleteTriviallyDeadInstructions(PN);
+ }
+
+ // Add a new IVUsers entry for the newly-created integer PHI.
+ IU->AddUsersIfInteresting(NewPHI);
+}
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