//===- Float2Int.cpp - Demote floating point ops to work on integers ------===// // // 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 implements the Float2Int pass, which aims to demote floating // point operations to work on integers, where that is losslessly possible. // //===----------------------------------------------------------------------===// #include "llvm/Transforms/Scalar/Float2Int.h" #include "llvm/ADT/APInt.h" #include "llvm/ADT/APSInt.h" #include "llvm/ADT/SmallVector.h" #include "llvm/Analysis/GlobalsModRef.h" #include "llvm/IR/Constants.h" #include "llvm/IR/Dominators.h" #include "llvm/IR/IRBuilder.h" #include "llvm/IR/Module.h" #include "llvm/Support/CommandLine.h" #include "llvm/Support/Debug.h" #include "llvm/Support/raw_ostream.h" #include #define DEBUG_TYPE "float2int" using namespace llvm; // The algorithm is simple. Start at instructions that convert from the // float to the int domain: fptoui, fptosi and fcmp. Walk up the def-use // graph, using an equivalence datastructure to unify graphs that interfere. // // Mappable instructions are those with an integer corrollary that, given // integer domain inputs, produce an integer output; fadd, for example. // // If a non-mappable instruction is seen, this entire def-use graph is marked // as non-transformable. If we see an instruction that converts from the // integer domain to FP domain (uitofp,sitofp), we terminate our walk. /// The largest integer type worth dealing with. static cl::opt MaxIntegerBW("float2int-max-integer-bw", cl::init(64), cl::Hidden, cl::desc("Max integer bitwidth to consider in float2int" "(default=64)")); // Given a FCmp predicate, return a matching ICmp predicate if one // exists, otherwise return BAD_ICMP_PREDICATE. static CmpInst::Predicate mapFCmpPred(CmpInst::Predicate P) { switch (P) { case CmpInst::FCMP_OEQ: case CmpInst::FCMP_UEQ: return CmpInst::ICMP_EQ; case CmpInst::FCMP_OGT: case CmpInst::FCMP_UGT: return CmpInst::ICMP_SGT; case CmpInst::FCMP_OGE: case CmpInst::FCMP_UGE: return CmpInst::ICMP_SGE; case CmpInst::FCMP_OLT: case CmpInst::FCMP_ULT: return CmpInst::ICMP_SLT; case CmpInst::FCMP_OLE: case CmpInst::FCMP_ULE: return CmpInst::ICMP_SLE; case CmpInst::FCMP_ONE: case CmpInst::FCMP_UNE: return CmpInst::ICMP_NE; default: return CmpInst::BAD_ICMP_PREDICATE; } } // Given a floating point binary operator, return the matching // integer version. static Instruction::BinaryOps mapBinOpcode(unsigned Opcode) { switch (Opcode) { default: llvm_unreachable("Unhandled opcode!"); case Instruction::FAdd: return Instruction::Add; case Instruction::FSub: return Instruction::Sub; case Instruction::FMul: return Instruction::Mul; } } // Find the roots - instructions that convert from the FP domain to // integer domain. void Float2IntPass::findRoots(Function &F, const DominatorTree &DT) { for (BasicBlock &BB : F) { // Unreachable code can take on strange forms that we are not prepared to // handle. For example, an instruction may have itself as an operand. if (!DT.isReachableFromEntry(&BB)) continue; for (Instruction &I : BB) { if (isa(I.getType())) continue; switch (I.getOpcode()) { default: break; case Instruction::FPToUI: case Instruction::FPToSI: Roots.insert(&I); break; case Instruction::FCmp: if (mapFCmpPred(cast(&I)->getPredicate()) != CmpInst::BAD_ICMP_PREDICATE) Roots.insert(&I); break; } } } } // Helper - mark I as having been traversed, having range R. void Float2IntPass::seen(Instruction *I, ConstantRange R) { LLVM_DEBUG(dbgs() << "F2I: " << *I << ":" << R << "\n"); auto IT = SeenInsts.find(I); if (IT != SeenInsts.end()) IT->second = std::move(R); else SeenInsts.insert(std::make_pair(I, std::move(R))); } // Helper - get a range representing a poison value. ConstantRange Float2IntPass::badRange() { return ConstantRange::getFull(MaxIntegerBW + 1); } ConstantRange Float2IntPass::unknownRange() { return ConstantRange::getEmpty(MaxIntegerBW + 1); } ConstantRange Float2IntPass::validateRange(ConstantRange R) { if (R.getBitWidth() > MaxIntegerBW + 1) return badRange(); return R; } // The most obvious way to structure the search is a depth-first, eager // search from each root. However, that require direct recursion and so // can only handle small instruction sequences. Instead, we split the search // up into two phases: // - walkBackwards: A breadth-first walk of the use-def graph starting from // the roots. Populate "SeenInsts" with interesting // instructions and poison values if they're obvious and // cheap to compute. Calculate the equivalance set structure // while we're here too. // - walkForwards: Iterate over SeenInsts in reverse order, so we visit // defs before their uses. Calculate the real range info. // Breadth-first walk of the use-def graph; determine the set of nodes // we care about and eagerly determine if some of them are poisonous. void Float2IntPass::walkBackwards() { std::deque Worklist(Roots.begin(), Roots.end()); while (!Worklist.empty()) { Instruction *I = Worklist.back(); Worklist.pop_back(); if (SeenInsts.contains(I)) // Seen already. continue; switch (I->getOpcode()) { // FIXME: Handle select and phi nodes. default: // Path terminated uncleanly. seen(I, badRange()); break; case Instruction::UIToFP: case Instruction::SIToFP: { // Path terminated cleanly - use the type of the integer input to seed // the analysis. unsigned BW = I->getOperand(0)->getType()->getPrimitiveSizeInBits(); auto Input = ConstantRange::getFull(BW); auto CastOp = (Instruction::CastOps)I->getOpcode(); seen(I, validateRange(Input.castOp(CastOp, MaxIntegerBW+1))); continue; } case Instruction::FNeg: case Instruction::FAdd: case Instruction::FSub: case Instruction::FMul: case Instruction::FPToUI: case Instruction::FPToSI: case Instruction::FCmp: seen(I, unknownRange()); break; } for (Value *O : I->operands()) { if (Instruction *OI = dyn_cast(O)) { // Unify def-use chains if they interfere. ECs.unionSets(I, OI); if (SeenInsts.find(I)->second != badRange()) Worklist.push_back(OI); } else if (!isa(O)) { // Not an instruction or ConstantFP? we can't do anything. seen(I, badRange()); } } } } // Calculate result range from operand ranges. // Return std::nullopt if the range cannot be calculated yet. std::optional Float2IntPass::calcRange(Instruction *I) { SmallVector OpRanges; for (Value *O : I->operands()) { if (Instruction *OI = dyn_cast(O)) { auto OpIt = SeenInsts.find(OI); assert(OpIt != SeenInsts.end() && "def not seen before use!"); if (OpIt->second == unknownRange()) return std::nullopt; // Wait until operand range has been calculated. OpRanges.push_back(OpIt->second); } else if (ConstantFP *CF = dyn_cast(O)) { // Work out if the floating point number can be losslessly represented // as an integer. // APFloat::convertToInteger(&Exact) purports to do what we want, but // the exactness can be too precise. For example, negative zero can // never be exactly converted to an integer. // // Instead, we ask APFloat to round itself to an integral value - this // preserves sign-of-zero - then compare the result with the original. // const APFloat &F = CF->getValueAPF(); // First, weed out obviously incorrect values. Non-finite numbers // can't be represented and neither can negative zero, unless // we're in fast math mode. if (!F.isFinite() || (F.isZero() && F.isNegative() && isa(I) && !I->hasNoSignedZeros())) return badRange(); APFloat NewF = F; auto Res = NewF.roundToIntegral(APFloat::rmNearestTiesToEven); if (Res != APFloat::opOK || NewF != F) return badRange(); // OK, it's representable. Now get it. APSInt Int(MaxIntegerBW+1, false); bool Exact; CF->getValueAPF().convertToInteger(Int, APFloat::rmNearestTiesToEven, &Exact); OpRanges.push_back(ConstantRange(Int)); } else { llvm_unreachable("Should have already marked this as badRange!"); } } switch (I->getOpcode()) { // FIXME: Handle select and phi nodes. default: case Instruction::UIToFP: case Instruction::SIToFP: llvm_unreachable("Should have been handled in walkForwards!"); case Instruction::FNeg: { assert(OpRanges.size() == 1 && "FNeg is a unary operator!"); unsigned Size = OpRanges[0].getBitWidth(); auto Zero = ConstantRange(APInt::getZero(Size)); return Zero.sub(OpRanges[0]); } case Instruction::FAdd: case Instruction::FSub: case Instruction::FMul: { assert(OpRanges.size() == 2 && "its a binary operator!"); auto BinOp = (Instruction::BinaryOps) I->getOpcode(); return OpRanges[0].binaryOp(BinOp, OpRanges[1]); } // // Root-only instructions - we'll only see these if they're the // first node in a walk. // case Instruction::FPToUI: case Instruction::FPToSI: { assert(OpRanges.size() == 1 && "FPTo[US]I is a unary operator!"); // Note: We're ignoring the casts output size here as that's what the // caller expects. auto CastOp = (Instruction::CastOps)I->getOpcode(); return OpRanges[0].castOp(CastOp, MaxIntegerBW+1); } case Instruction::FCmp: assert(OpRanges.size() == 2 && "FCmp is a binary operator!"); return OpRanges[0].unionWith(OpRanges[1]); } } // Walk forwards down the list of seen instructions, so we visit defs before // uses. void Float2IntPass::walkForwards() { std::deque Worklist; for (const auto &Pair : SeenInsts) if (Pair.second == unknownRange()) Worklist.push_back(Pair.first); while (!Worklist.empty()) { Instruction *I = Worklist.back(); Worklist.pop_back(); if (std::optional Range = calcRange(I)) seen(I, *Range); else Worklist.push_front(I); // Reprocess later. } } // If there is a valid transform to be done, do it. bool Float2IntPass::validateAndTransform(const DataLayout &DL) { bool MadeChange = false; // Iterate over every disjoint partition of the def-use graph. for (auto It = ECs.begin(), E = ECs.end(); It != E; ++It) { ConstantRange R(MaxIntegerBW + 1, false); bool Fail = false; Type *ConvertedToTy = nullptr; // For every member of the partition, union all the ranges together. for (auto MI = ECs.member_begin(It), ME = ECs.member_end(); MI != ME; ++MI) { Instruction *I = *MI; auto SeenI = SeenInsts.find(I); if (SeenI == SeenInsts.end()) continue; R = R.unionWith(SeenI->second); // We need to ensure I has no users that have not been seen. // If it does, transformation would be illegal. // // Don't count the roots, as they terminate the graphs. if (!Roots.contains(I)) { // Set the type of the conversion while we're here. if (!ConvertedToTy) ConvertedToTy = I->getType(); for (User *U : I->users()) { Instruction *UI = dyn_cast(U); if (!UI || !SeenInsts.contains(UI)) { LLVM_DEBUG(dbgs() << "F2I: Failing because of " << *U << "\n"); Fail = true; break; } } } if (Fail) break; } // If the set was empty, or we failed, or the range is poisonous, // bail out. if (ECs.member_begin(It) == ECs.member_end() || Fail || R.isFullSet() || R.isSignWrappedSet()) continue; assert(ConvertedToTy && "Must have set the convertedtoty by this point!"); // The number of bits required is the maximum of the upper and // lower limits, plus one so it can be signed. unsigned MinBW = R.getMinSignedBits() + 1; LLVM_DEBUG(dbgs() << "F2I: MinBitwidth=" << MinBW << ", R: " << R << "\n"); // If we've run off the realms of the exactly representable integers, // the floating point result will differ from an integer approximation. // Do we need more bits than are in the mantissa of the type we converted // to? semanticsPrecision returns the number of mantissa bits plus one // for the sign bit. unsigned MaxRepresentableBits = APFloat::semanticsPrecision(ConvertedToTy->getFltSemantics()) - 1; if (MinBW > MaxRepresentableBits) { LLVM_DEBUG(dbgs() << "F2I: Value not guaranteed to be representable!\n"); continue; } // OK, R is known to be representable. // Pick the smallest legal type that will fit. Type *Ty = DL.getSmallestLegalIntType(*Ctx, MinBW); if (!Ty) { // Every supported target supports 64-bit and 32-bit integers, // so fallback to a 32 or 64-bit integer if the value fits. if (MinBW <= 32) { Ty = Type::getInt32Ty(*Ctx); } else if (MinBW <= 64) { Ty = Type::getInt64Ty(*Ctx); } else { LLVM_DEBUG(dbgs() << "F2I: Value requires more bits to represent than " "the target supports!\n"); continue; } } for (auto MI = ECs.member_begin(It), ME = ECs.member_end(); MI != ME; ++MI) convert(*MI, Ty); MadeChange = true; } return MadeChange; } Value *Float2IntPass::convert(Instruction *I, Type *ToTy) { if (ConvertedInsts.contains(I)) // Already converted this instruction. return ConvertedInsts[I]; SmallVector NewOperands; for (Value *V : I->operands()) { // Don't recurse if we're an instruction that terminates the path. if (I->getOpcode() == Instruction::UIToFP || I->getOpcode() == Instruction::SIToFP) { NewOperands.push_back(V); } else if (Instruction *VI = dyn_cast(V)) { NewOperands.push_back(convert(VI, ToTy)); } else if (ConstantFP *CF = dyn_cast(V)) { APSInt Val(ToTy->getPrimitiveSizeInBits(), /*isUnsigned=*/false); bool Exact; CF->getValueAPF().convertToInteger(Val, APFloat::rmNearestTiesToEven, &Exact); NewOperands.push_back(ConstantInt::get(ToTy, Val)); } else { llvm_unreachable("Unhandled operand type?"); } } // Now create a new instruction. IRBuilder<> IRB(I); Value *NewV = nullptr; switch (I->getOpcode()) { default: llvm_unreachable("Unhandled instruction!"); case Instruction::FPToUI: NewV = IRB.CreateZExtOrTrunc(NewOperands[0], I->getType()); break; case Instruction::FPToSI: NewV = IRB.CreateSExtOrTrunc(NewOperands[0], I->getType()); break; case Instruction::FCmp: { CmpInst::Predicate P = mapFCmpPred(cast(I)->getPredicate()); assert(P != CmpInst::BAD_ICMP_PREDICATE && "Unhandled predicate!"); NewV = IRB.CreateICmp(P, NewOperands[0], NewOperands[1], I->getName()); break; } case Instruction::UIToFP: NewV = IRB.CreateZExtOrTrunc(NewOperands[0], ToTy); break; case Instruction::SIToFP: NewV = IRB.CreateSExtOrTrunc(NewOperands[0], ToTy); break; case Instruction::FNeg: NewV = IRB.CreateNeg(NewOperands[0], I->getName()); break; case Instruction::FAdd: case Instruction::FSub: case Instruction::FMul: NewV = IRB.CreateBinOp(mapBinOpcode(I->getOpcode()), NewOperands[0], NewOperands[1], I->getName()); break; } // If we're a root instruction, RAUW. if (Roots.count(I)) I->replaceAllUsesWith(NewV); ConvertedInsts[I] = NewV; return NewV; } // Perform dead code elimination on the instructions we just modified. void Float2IntPass::cleanup() { for (auto &I : reverse(ConvertedInsts)) I.first->eraseFromParent(); } bool Float2IntPass::runImpl(Function &F, const DominatorTree &DT) { LLVM_DEBUG(dbgs() << "F2I: Looking at function " << F.getName() << "\n"); // Clear out all state. ECs = EquivalenceClasses(); SeenInsts.clear(); ConvertedInsts.clear(); Roots.clear(); Ctx = &F.getParent()->getContext(); findRoots(F, DT); walkBackwards(); walkForwards(); const DataLayout &DL = F.getDataLayout(); bool Modified = validateAndTransform(DL); if (Modified) cleanup(); return Modified; } PreservedAnalyses Float2IntPass::run(Function &F, FunctionAnalysisManager &AM) { const DominatorTree &DT = AM.getResult(F); if (!runImpl(F, DT)) return PreservedAnalyses::all(); PreservedAnalyses PA; PA.preserveSet(); return PA; }