//===- ScalarEvolutionExpander.cpp - Scalar Evolution Analysis --*- C++ -*-===// // // The LLVM Compiler Infrastructure // // This file is distributed under the University of Illinois Open Source // License. See LICENSE.TXT for details. // //===----------------------------------------------------------------------===// // // This file contains the implementation of the scalar evolution expander, // which is used to generate the code corresponding to a given scalar evolution // expression. // //===----------------------------------------------------------------------===// #include "llvm/Analysis/ScalarEvolutionExpander.h" #include "llvm/Analysis/LoopInfo.h" using namespace llvm; /// InsertCastOfTo - Insert a cast of V to the specified type, doing what /// we can to share the casts. Value *SCEVExpander::InsertCastOfTo(Instruction::CastOps opcode, Value *V, const Type *Ty) { // Short-circuit unnecessary bitcasts. if (opcode == Instruction::BitCast && V->getType() == Ty) return V; // Short-circuit unnecessary inttoptr<->ptrtoint casts. if ((opcode == Instruction::PtrToInt || opcode == Instruction::IntToPtr) && SE.getTypeSizeInBits(Ty) == SE.getTypeSizeInBits(V->getType())) { if (CastInst *CI = dyn_cast(V)) if ((CI->getOpcode() == Instruction::PtrToInt || CI->getOpcode() == Instruction::IntToPtr) && SE.getTypeSizeInBits(CI->getType()) == SE.getTypeSizeInBits(CI->getOperand(0)->getType())) return CI->getOperand(0); if (ConstantExpr *CE = dyn_cast(V)) if ((CE->getOpcode() == Instruction::PtrToInt || CE->getOpcode() == Instruction::IntToPtr) && SE.getTypeSizeInBits(CE->getType()) == SE.getTypeSizeInBits(CE->getOperand(0)->getType())) return CE->getOperand(0); } // FIXME: keep track of the cast instruction. if (Constant *C = dyn_cast(V)) return ConstantExpr::getCast(opcode, C, Ty); if (Argument *A = dyn_cast(V)) { // Check to see if there is already a cast! for (Value::use_iterator UI = A->use_begin(), E = A->use_end(); UI != E; ++UI) { if ((*UI)->getType() == Ty) if (CastInst *CI = dyn_cast(cast(*UI))) if (CI->getOpcode() == opcode) { // If the cast isn't the first instruction of the function, move it. if (BasicBlock::iterator(CI) != A->getParent()->getEntryBlock().begin()) { // If the CastInst is the insert point, change the insert point. if (CI == InsertPt) ++InsertPt; // Splice the cast at the beginning of the entry block. CI->moveBefore(A->getParent()->getEntryBlock().begin()); } return CI; } } Instruction *I = CastInst::Create(opcode, V, Ty, V->getName(), A->getParent()->getEntryBlock().begin()); InsertedValues.insert(I); return I; } Instruction *I = cast(V); // Check to see if there is already a cast. If there is, use it. for (Value::use_iterator UI = I->use_begin(), E = I->use_end(); UI != E; ++UI) { if ((*UI)->getType() == Ty) if (CastInst *CI = dyn_cast(cast(*UI))) if (CI->getOpcode() == opcode) { BasicBlock::iterator It = I; ++It; if (isa(I)) It = cast(I)->getNormalDest()->begin(); while (isa(It)) ++It; if (It != BasicBlock::iterator(CI)) { // If the CastInst is the insert point, change the insert point. if (CI == InsertPt) ++InsertPt; // Splice the cast immediately after the operand in question. CI->moveBefore(It); } return CI; } } BasicBlock::iterator IP = I; ++IP; if (InvokeInst *II = dyn_cast(I)) IP = II->getNormalDest()->begin(); while (isa(IP)) ++IP; Instruction *CI = CastInst::Create(opcode, V, Ty, V->getName(), IP); InsertedValues.insert(CI); return CI; } /// InsertNoopCastOfTo - Insert a cast of V to the specified type, /// which must be possible with a noop cast. Value *SCEVExpander::InsertNoopCastOfTo(Value *V, const Type *Ty) { Instruction::CastOps Op = CastInst::getCastOpcode(V, false, Ty, false); assert((Op == Instruction::BitCast || Op == Instruction::PtrToInt || Op == Instruction::IntToPtr) && "InsertNoopCastOfTo cannot perform non-noop casts!"); assert(SE.getTypeSizeInBits(V->getType()) == SE.getTypeSizeInBits(Ty) && "InsertNoopCastOfTo cannot change sizes!"); return InsertCastOfTo(Op, V, Ty); } /// InsertBinop - Insert the specified binary operator, doing a small amount /// of work to avoid inserting an obviously redundant operation. Value *SCEVExpander::InsertBinop(Instruction::BinaryOps Opcode, Value *LHS, Value *RHS, BasicBlock::iterator InsertPt) { // Fold a binop with constant operands. if (Constant *CLHS = dyn_cast(LHS)) if (Constant *CRHS = dyn_cast(RHS)) return ConstantExpr::get(Opcode, CLHS, CRHS); // Do a quick scan to see if we have this binop nearby. If so, reuse it. unsigned ScanLimit = 6; BasicBlock::iterator BlockBegin = InsertPt->getParent()->begin(); if (InsertPt != BlockBegin) { // Scanning starts from the last instruction before InsertPt. BasicBlock::iterator IP = InsertPt; --IP; for (; ScanLimit; --IP, --ScanLimit) { if (BinaryOperator *BinOp = dyn_cast(IP)) if (BinOp->getOpcode() == Opcode && BinOp->getOperand(0) == LHS && BinOp->getOperand(1) == RHS) return BinOp; if (IP == BlockBegin) break; } } // If we haven't found this binop, insert it. Instruction *BO = BinaryOperator::Create(Opcode, LHS, RHS, "tmp", InsertPt); InsertedValues.insert(BO); return BO; } Value *SCEVExpander::visitAddExpr(const SCEVAddExpr *S) { const Type *Ty = SE.getEffectiveSCEVType(S->getType()); Value *V = expand(S->getOperand(S->getNumOperands()-1)); V = InsertNoopCastOfTo(V, Ty); // Emit a bunch of add instructions for (int i = S->getNumOperands()-2; i >= 0; --i) { Value *W = expand(S->getOperand(i)); W = InsertNoopCastOfTo(W, Ty); V = InsertBinop(Instruction::Add, V, W, InsertPt); } return V; } Value *SCEVExpander::visitMulExpr(const SCEVMulExpr *S) { const Type *Ty = SE.getEffectiveSCEVType(S->getType()); int FirstOp = 0; // Set if we should emit a subtract. if (const SCEVConstant *SC = dyn_cast(S->getOperand(0))) if (SC->getValue()->isAllOnesValue()) FirstOp = 1; int i = S->getNumOperands()-2; Value *V = expand(S->getOperand(i+1)); V = InsertNoopCastOfTo(V, Ty); // Emit a bunch of multiply instructions for (; i >= FirstOp; --i) { Value *W = expand(S->getOperand(i)); W = InsertNoopCastOfTo(W, Ty); V = InsertBinop(Instruction::Mul, V, W, InsertPt); } // -1 * ... ---> 0 - ... if (FirstOp == 1) V = InsertBinop(Instruction::Sub, Constant::getNullValue(Ty), V, InsertPt); return V; } Value *SCEVExpander::visitUDivExpr(const SCEVUDivExpr *S) { const Type *Ty = SE.getEffectiveSCEVType(S->getType()); Value *LHS = expand(S->getLHS()); LHS = InsertNoopCastOfTo(LHS, Ty); if (const SCEVConstant *SC = dyn_cast(S->getRHS())) { const APInt &RHS = SC->getValue()->getValue(); if (RHS.isPowerOf2()) return InsertBinop(Instruction::LShr, LHS, ConstantInt::get(Ty, RHS.logBase2()), InsertPt); } Value *RHS = expand(S->getRHS()); RHS = InsertNoopCastOfTo(RHS, Ty); return InsertBinop(Instruction::UDiv, LHS, RHS, InsertPt); } Value *SCEVExpander::visitAddRecExpr(const SCEVAddRecExpr *S) { const Type *Ty = SE.getEffectiveSCEVType(S->getType()); const Loop *L = S->getLoop(); // {X,+,F} --> X + {0,+,F} if (!S->getStart()->isZero()) { Value *Start = expand(S->getStart()); Start = InsertNoopCastOfTo(Start, Ty); std::vector NewOps(S->op_begin(), S->op_end()); NewOps[0] = SE.getIntegerSCEV(0, Ty); Value *Rest = expand(SE.getAddRecExpr(NewOps, L)); Rest = InsertNoopCastOfTo(Rest, Ty); // FIXME: look for an existing add to use. return InsertBinop(Instruction::Add, Rest, Start, InsertPt); } // {0,+,1} --> Insert a canonical induction variable into the loop! if (S->isAffine() && S->getOperand(1) == SE.getIntegerSCEV(1, Ty)) { // Create and insert the PHI node for the induction variable in the // specified loop. BasicBlock *Header = L->getHeader(); PHINode *PN = PHINode::Create(Ty, "indvar", Header->begin()); InsertedValues.insert(PN); PN->addIncoming(Constant::getNullValue(Ty), L->getLoopPreheader()); pred_iterator HPI = pred_begin(Header); assert(HPI != pred_end(Header) && "Loop with zero preds???"); if (!L->contains(*HPI)) ++HPI; assert(HPI != pred_end(Header) && L->contains(*HPI) && "No backedge in loop?"); // Insert a unit add instruction right before the terminator corresponding // to the back-edge. Constant *One = ConstantInt::get(Ty, 1); Instruction *Add = BinaryOperator::CreateAdd(PN, One, "indvar.next", (*HPI)->getTerminator()); InsertedValues.insert(Add); pred_iterator PI = pred_begin(Header); if (*PI == L->getLoopPreheader()) ++PI; PN->addIncoming(Add, *PI); return PN; } // Get the canonical induction variable I for this loop. Value *I = getOrInsertCanonicalInductionVariable(L, Ty); // If this is a simple linear addrec, emit it now as a special case. if (S->isAffine()) { // {0,+,F} --> i*F Value *F = expand(S->getOperand(1)); F = InsertNoopCastOfTo(F, Ty); // IF the step is by one, just return the inserted IV. if (ConstantInt *CI = dyn_cast(F)) if (CI->getValue() == 1) return I; // If the insert point is directly inside of the loop, emit the multiply at // the insert point. Otherwise, L is a loop that is a parent of the insert // point loop. If we can, move the multiply to the outer most loop that it // is safe to be in. BasicBlock::iterator MulInsertPt = getInsertionPoint(); Loop *InsertPtLoop = LI.getLoopFor(MulInsertPt->getParent()); if (InsertPtLoop != L && InsertPtLoop && L->contains(InsertPtLoop->getHeader())) { do { // If we cannot hoist the multiply out of this loop, don't. if (!InsertPtLoop->isLoopInvariant(F)) break; BasicBlock *InsertPtLoopPH = InsertPtLoop->getLoopPreheader(); // If this loop hasn't got a preheader, we aren't able to hoist the // multiply. if (!InsertPtLoopPH) break; // Otherwise, move the insert point to the preheader. MulInsertPt = InsertPtLoopPH->getTerminator(); InsertPtLoop = InsertPtLoop->getParentLoop(); } while (InsertPtLoop != L); } return InsertBinop(Instruction::Mul, I, F, MulInsertPt); } // If this is a chain of recurrences, turn it into a closed form, using the // folders, then expandCodeFor the closed form. This allows the folders to // simplify the expression without having to build a bunch of special code // into this folder. SCEVHandle IH = SE.getUnknown(I); // Get I as a "symbolic" SCEV. SCEVHandle V = S->evaluateAtIteration(IH, SE); //cerr << "Evaluated: " << *this << "\n to: " << *V << "\n"; return expand(V); } Value *SCEVExpander::visitTruncateExpr(const SCEVTruncateExpr *S) { const Type *Ty = SE.getEffectiveSCEVType(S->getType()); Value *V = expand(S->getOperand()); V = InsertNoopCastOfTo(V, SE.getEffectiveSCEVType(V->getType())); Instruction *I = new TruncInst(V, Ty, "tmp.", InsertPt); InsertedValues.insert(I); return I; } Value *SCEVExpander::visitZeroExtendExpr(const SCEVZeroExtendExpr *S) { const Type *Ty = SE.getEffectiveSCEVType(S->getType()); Value *V = expand(S->getOperand()); V = InsertNoopCastOfTo(V, SE.getEffectiveSCEVType(V->getType())); Instruction *I = new ZExtInst(V, Ty, "tmp.", InsertPt); InsertedValues.insert(I); return I; } Value *SCEVExpander::visitSignExtendExpr(const SCEVSignExtendExpr *S) { const Type *Ty = SE.getEffectiveSCEVType(S->getType()); Value *V = expand(S->getOperand()); V = InsertNoopCastOfTo(V, SE.getEffectiveSCEVType(V->getType())); Instruction *I = new SExtInst(V, Ty, "tmp.", InsertPt); InsertedValues.insert(I); return I; } Value *SCEVExpander::visitSMaxExpr(const SCEVSMaxExpr *S) { const Type *Ty = SE.getEffectiveSCEVType(S->getType()); Value *LHS = expand(S->getOperand(0)); LHS = InsertNoopCastOfTo(LHS, Ty); for (unsigned i = 1; i < S->getNumOperands(); ++i) { Value *RHS = expand(S->getOperand(i)); RHS = InsertNoopCastOfTo(RHS, Ty); Instruction *ICmp = new ICmpInst(ICmpInst::ICMP_SGT, LHS, RHS, "tmp", InsertPt); InsertedValues.insert(ICmp); Instruction *Sel = SelectInst::Create(ICmp, LHS, RHS, "smax", InsertPt); InsertedValues.insert(Sel); LHS = Sel; } return LHS; } Value *SCEVExpander::visitUMaxExpr(const SCEVUMaxExpr *S) { const Type *Ty = SE.getEffectiveSCEVType(S->getType()); Value *LHS = expand(S->getOperand(0)); LHS = InsertNoopCastOfTo(LHS, Ty); for (unsigned i = 1; i < S->getNumOperands(); ++i) { Value *RHS = expand(S->getOperand(i)); RHS = InsertNoopCastOfTo(RHS, Ty); Instruction *ICmp = new ICmpInst(ICmpInst::ICMP_UGT, LHS, RHS, "tmp", InsertPt); InsertedValues.insert(ICmp); Instruction *Sel = SelectInst::Create(ICmp, LHS, RHS, "umax", InsertPt); InsertedValues.insert(Sel); LHS = Sel; } return LHS; } Value *SCEVExpander::expandCodeFor(SCEVHandle SH, const Type *Ty) { // Expand the code for this SCEV. assert(SE.getTypeSizeInBits(Ty) == SE.getTypeSizeInBits(SH->getType()) && "non-trivial casts should be done with the SCEVs directly!"); Value *V = expand(SH); return InsertNoopCastOfTo(V, Ty); } Value *SCEVExpander::expand(const SCEV *S) { // Check to see if we already expanded this. std::map::iterator I = InsertedExpressions.find(S); if (I != InsertedExpressions.end()) return I->second; Value *V = visit(S); InsertedExpressions[S] = V; return V; }