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      1 //===- Float2Int.cpp - Demote floating point ops to work on integers ------===//
      2 //
      3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
      4 // See https://llvm.org/LICENSE.txt for license information.
      5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
      6 //
      7 //===----------------------------------------------------------------------===//
      8 //
      9 // This file implements the Float2Int pass, which aims to demote floating
     10 // point operations to work on integers, where that is losslessly possible.
     11 //
     12 //===----------------------------------------------------------------------===//
     13 
     14 #include "llvm/InitializePasses.h"
     15 #include "llvm/Support/CommandLine.h"
     16 #define DEBUG_TYPE "float2int"
     17 
     18 #include "llvm/Transforms/Scalar/Float2Int.h"
     19 #include "llvm/ADT/APInt.h"
     20 #include "llvm/ADT/APSInt.h"
     21 #include "llvm/ADT/SmallVector.h"
     22 #include "llvm/Analysis/GlobalsModRef.h"
     23 #include "llvm/IR/Constants.h"
     24 #include "llvm/IR/IRBuilder.h"
     25 #include "llvm/IR/InstIterator.h"
     26 #include "llvm/IR/Instructions.h"
     27 #include "llvm/IR/Module.h"
     28 #include "llvm/Pass.h"
     29 #include "llvm/Support/Debug.h"
     30 #include "llvm/Support/raw_ostream.h"
     31 #include "llvm/Transforms/Scalar.h"
     32 #include <deque>
     33 #include <functional> // For std::function
     34 using namespace llvm;
     35 
     36 // The algorithm is simple. Start at instructions that convert from the
     37 // float to the int domain: fptoui, fptosi and fcmp. Walk up the def-use
     38 // graph, using an equivalence datastructure to unify graphs that interfere.
     39 //
     40 // Mappable instructions are those with an integer corrollary that, given
     41 // integer domain inputs, produce an integer output; fadd, for example.
     42 //
     43 // If a non-mappable instruction is seen, this entire def-use graph is marked
     44 // as non-transformable. If we see an instruction that converts from the
     45 // integer domain to FP domain (uitofp,sitofp), we terminate our walk.
     46 
     47 /// The largest integer type worth dealing with.
     48 static cl::opt<unsigned>
     49 MaxIntegerBW("float2int-max-integer-bw", cl::init(64), cl::Hidden,
     50              cl::desc("Max integer bitwidth to consider in float2int"
     51                       "(default=64)"));
     52 
     53 namespace {
     54   struct Float2IntLegacyPass : public FunctionPass {
     55     static char ID; // Pass identification, replacement for typeid
     56     Float2IntLegacyPass() : FunctionPass(ID) {
     57       initializeFloat2IntLegacyPassPass(*PassRegistry::getPassRegistry());
     58     }
     59 
     60     bool runOnFunction(Function &F) override {
     61       if (skipFunction(F))
     62         return false;
     63 
     64       const DominatorTree &DT = getAnalysis<DominatorTreeWrapperPass>().getDomTree();
     65       return Impl.runImpl(F, DT);
     66     }
     67 
     68     void getAnalysisUsage(AnalysisUsage &AU) const override {
     69       AU.setPreservesCFG();
     70       AU.addRequired<DominatorTreeWrapperPass>();
     71       AU.addPreserved<GlobalsAAWrapperPass>();
     72     }
     73 
     74   private:
     75     Float2IntPass Impl;
     76   };
     77 }
     78 
     79 char Float2IntLegacyPass::ID = 0;
     80 INITIALIZE_PASS(Float2IntLegacyPass, "float2int", "Float to int", false, false)
     81 
     82 // Given a FCmp predicate, return a matching ICmp predicate if one
     83 // exists, otherwise return BAD_ICMP_PREDICATE.
     84 static CmpInst::Predicate mapFCmpPred(CmpInst::Predicate P) {
     85   switch (P) {
     86   case CmpInst::FCMP_OEQ:
     87   case CmpInst::FCMP_UEQ:
     88     return CmpInst::ICMP_EQ;
     89   case CmpInst::FCMP_OGT:
     90   case CmpInst::FCMP_UGT:
     91     return CmpInst::ICMP_SGT;
     92   case CmpInst::FCMP_OGE:
     93   case CmpInst::FCMP_UGE:
     94     return CmpInst::ICMP_SGE;
     95   case CmpInst::FCMP_OLT:
     96   case CmpInst::FCMP_ULT:
     97     return CmpInst::ICMP_SLT;
     98   case CmpInst::FCMP_OLE:
     99   case CmpInst::FCMP_ULE:
    100     return CmpInst::ICMP_SLE;
    101   case CmpInst::FCMP_ONE:
    102   case CmpInst::FCMP_UNE:
    103     return CmpInst::ICMP_NE;
    104   default:
    105     return CmpInst::BAD_ICMP_PREDICATE;
    106   }
    107 }
    108 
    109 // Given a floating point binary operator, return the matching
    110 // integer version.
    111 static Instruction::BinaryOps mapBinOpcode(unsigned Opcode) {
    112   switch (Opcode) {
    113   default: llvm_unreachable("Unhandled opcode!");
    114   case Instruction::FAdd: return Instruction::Add;
    115   case Instruction::FSub: return Instruction::Sub;
    116   case Instruction::FMul: return Instruction::Mul;
    117   }
    118 }
    119 
    120 // Find the roots - instructions that convert from the FP domain to
    121 // integer domain.
    122 void Float2IntPass::findRoots(Function &F, const DominatorTree &DT) {
    123   for (BasicBlock &BB : F) {
    124     // Unreachable code can take on strange forms that we are not prepared to
    125     // handle. For example, an instruction may have itself as an operand.
    126     if (!DT.isReachableFromEntry(&BB))
    127       continue;
    128 
    129     for (Instruction &I : BB) {
    130       if (isa<VectorType>(I.getType()))
    131         continue;
    132       switch (I.getOpcode()) {
    133       default: break;
    134       case Instruction::FPToUI:
    135       case Instruction::FPToSI:
    136         Roots.insert(&I);
    137         break;
    138       case Instruction::FCmp:
    139         if (mapFCmpPred(cast<CmpInst>(&I)->getPredicate()) !=
    140             CmpInst::BAD_ICMP_PREDICATE)
    141           Roots.insert(&I);
    142         break;
    143       }
    144     }
    145   }
    146 }
    147 
    148 // Helper - mark I as having been traversed, having range R.
    149 void Float2IntPass::seen(Instruction *I, ConstantRange R) {
    150   LLVM_DEBUG(dbgs() << "F2I: " << *I << ":" << R << "\n");
    151   auto IT = SeenInsts.find(I);
    152   if (IT != SeenInsts.end())
    153     IT->second = std::move(R);
    154   else
    155     SeenInsts.insert(std::make_pair(I, std::move(R)));
    156 }
    157 
    158 // Helper - get a range representing a poison value.
    159 ConstantRange Float2IntPass::badRange() {
    160   return ConstantRange::getFull(MaxIntegerBW + 1);
    161 }
    162 ConstantRange Float2IntPass::unknownRange() {
    163   return ConstantRange::getEmpty(MaxIntegerBW + 1);
    164 }
    165 ConstantRange Float2IntPass::validateRange(ConstantRange R) {
    166   if (R.getBitWidth() > MaxIntegerBW + 1)
    167     return badRange();
    168   return R;
    169 }
    170 
    171 // The most obvious way to structure the search is a depth-first, eager
    172 // search from each root. However, that require direct recursion and so
    173 // can only handle small instruction sequences. Instead, we split the search
    174 // up into two phases:
    175 //   - walkBackwards:  A breadth-first walk of the use-def graph starting from
    176 //                     the roots. Populate "SeenInsts" with interesting
    177 //                     instructions and poison values if they're obvious and
    178 //                     cheap to compute. Calculate the equivalance set structure
    179 //                     while we're here too.
    180 //   - walkForwards:  Iterate over SeenInsts in reverse order, so we visit
    181 //                     defs before their uses. Calculate the real range info.
    182 
    183 // Breadth-first walk of the use-def graph; determine the set of nodes
    184 // we care about and eagerly determine if some of them are poisonous.
    185 void Float2IntPass::walkBackwards() {
    186   std::deque<Instruction*> Worklist(Roots.begin(), Roots.end());
    187   while (!Worklist.empty()) {
    188     Instruction *I = Worklist.back();
    189     Worklist.pop_back();
    190 
    191     if (SeenInsts.find(I) != SeenInsts.end())
    192       // Seen already.
    193       continue;
    194 
    195     switch (I->getOpcode()) {
    196       // FIXME: Handle select and phi nodes.
    197     default:
    198       // Path terminated uncleanly.
    199       seen(I, badRange());
    200       break;
    201 
    202     case Instruction::UIToFP:
    203     case Instruction::SIToFP: {
    204       // Path terminated cleanly - use the type of the integer input to seed
    205       // the analysis.
    206       unsigned BW = I->getOperand(0)->getType()->getPrimitiveSizeInBits();
    207       auto Input = ConstantRange::getFull(BW);
    208       auto CastOp = (Instruction::CastOps)I->getOpcode();
    209       seen(I, validateRange(Input.castOp(CastOp, MaxIntegerBW+1)));
    210       continue;
    211     }
    212 
    213     case Instruction::FNeg:
    214     case Instruction::FAdd:
    215     case Instruction::FSub:
    216     case Instruction::FMul:
    217     case Instruction::FPToUI:
    218     case Instruction::FPToSI:
    219     case Instruction::FCmp:
    220       seen(I, unknownRange());
    221       break;
    222     }
    223 
    224     for (Value *O : I->operands()) {
    225       if (Instruction *OI = dyn_cast<Instruction>(O)) {
    226         // Unify def-use chains if they interfere.
    227         ECs.unionSets(I, OI);
    228         if (SeenInsts.find(I)->second != badRange())
    229           Worklist.push_back(OI);
    230       } else if (!isa<ConstantFP>(O)) {
    231         // Not an instruction or ConstantFP? we can't do anything.
    232         seen(I, badRange());
    233       }
    234     }
    235   }
    236 }
    237 
    238 // Walk forwards down the list of seen instructions, so we visit defs before
    239 // uses.
    240 void Float2IntPass::walkForwards() {
    241   for (auto &It : reverse(SeenInsts)) {
    242     if (It.second != unknownRange())
    243       continue;
    244 
    245     Instruction *I = It.first;
    246     std::function<ConstantRange(ArrayRef<ConstantRange>)> Op;
    247     switch (I->getOpcode()) {
    248       // FIXME: Handle select and phi nodes.
    249     default:
    250     case Instruction::UIToFP:
    251     case Instruction::SIToFP:
    252       llvm_unreachable("Should have been handled in walkForwards!");
    253 
    254     case Instruction::FNeg:
    255       Op = [](ArrayRef<ConstantRange> Ops) {
    256         assert(Ops.size() == 1 && "FNeg is a unary operator!");
    257         unsigned Size = Ops[0].getBitWidth();
    258         auto Zero = ConstantRange(APInt::getNullValue(Size));
    259         return Zero.sub(Ops[0]);
    260       };
    261       break;
    262 
    263     case Instruction::FAdd:
    264     case Instruction::FSub:
    265     case Instruction::FMul:
    266       Op = [I](ArrayRef<ConstantRange> Ops) {
    267         assert(Ops.size() == 2 && "its a binary operator!");
    268         auto BinOp = (Instruction::BinaryOps) I->getOpcode();
    269         return Ops[0].binaryOp(BinOp, Ops[1]);
    270       };
    271       break;
    272 
    273     //
    274     // Root-only instructions - we'll only see these if they're the
    275     //                          first node in a walk.
    276     //
    277     case Instruction::FPToUI:
    278     case Instruction::FPToSI:
    279       Op = [I](ArrayRef<ConstantRange> Ops) {
    280         assert(Ops.size() == 1 && "FPTo[US]I is a unary operator!");
    281         // Note: We're ignoring the casts output size here as that's what the
    282         // caller expects.
    283         auto CastOp = (Instruction::CastOps)I->getOpcode();
    284         return Ops[0].castOp(CastOp, MaxIntegerBW+1);
    285       };
    286       break;
    287 
    288     case Instruction::FCmp:
    289       Op = [](ArrayRef<ConstantRange> Ops) {
    290         assert(Ops.size() == 2 && "FCmp is a binary operator!");
    291         return Ops[0].unionWith(Ops[1]);
    292       };
    293       break;
    294     }
    295 
    296     bool Abort = false;
    297     SmallVector<ConstantRange,4> OpRanges;
    298     for (Value *O : I->operands()) {
    299       if (Instruction *OI = dyn_cast<Instruction>(O)) {
    300         assert(SeenInsts.find(OI) != SeenInsts.end() &&
    301                "def not seen before use!");
    302         OpRanges.push_back(SeenInsts.find(OI)->second);
    303       } else if (ConstantFP *CF = dyn_cast<ConstantFP>(O)) {
    304         // Work out if the floating point number can be losslessly represented
    305         // as an integer.
    306         // APFloat::convertToInteger(&Exact) purports to do what we want, but
    307         // the exactness can be too precise. For example, negative zero can
    308         // never be exactly converted to an integer.
    309         //
    310         // Instead, we ask APFloat to round itself to an integral value - this
    311         // preserves sign-of-zero - then compare the result with the original.
    312         //
    313         const APFloat &F = CF->getValueAPF();
    314 
    315         // First, weed out obviously incorrect values. Non-finite numbers
    316         // can't be represented and neither can negative zero, unless
    317         // we're in fast math mode.
    318         if (!F.isFinite() ||
    319             (F.isZero() && F.isNegative() && isa<FPMathOperator>(I) &&
    320              !I->hasNoSignedZeros())) {
    321           seen(I, badRange());
    322           Abort = true;
    323           break;
    324         }
    325 
    326         APFloat NewF = F;
    327         auto Res = NewF.roundToIntegral(APFloat::rmNearestTiesToEven);
    328         if (Res != APFloat::opOK || NewF != F) {
    329           seen(I, badRange());
    330           Abort = true;
    331           break;
    332         }
    333         // OK, it's representable. Now get it.
    334         APSInt Int(MaxIntegerBW+1, false);
    335         bool Exact;
    336         CF->getValueAPF().convertToInteger(Int,
    337                                            APFloat::rmNearestTiesToEven,
    338                                            &Exact);
    339         OpRanges.push_back(ConstantRange(Int));
    340       } else {
    341         llvm_unreachable("Should have already marked this as badRange!");
    342       }
    343     }
    344 
    345     // Reduce the operands' ranges to a single range and return.
    346     if (!Abort)
    347       seen(I, Op(OpRanges));
    348   }
    349 }
    350 
    351 // If there is a valid transform to be done, do it.
    352 bool Float2IntPass::validateAndTransform() {
    353   bool MadeChange = false;
    354 
    355   // Iterate over every disjoint partition of the def-use graph.
    356   for (auto It = ECs.begin(), E = ECs.end(); It != E; ++It) {
    357     ConstantRange R(MaxIntegerBW + 1, false);
    358     bool Fail = false;
    359     Type *ConvertedToTy = nullptr;
    360 
    361     // For every member of the partition, union all the ranges together.
    362     for (auto MI = ECs.member_begin(It), ME = ECs.member_end();
    363          MI != ME; ++MI) {
    364       Instruction *I = *MI;
    365       auto SeenI = SeenInsts.find(I);
    366       if (SeenI == SeenInsts.end())
    367         continue;
    368 
    369       R = R.unionWith(SeenI->second);
    370       // We need to ensure I has no users that have not been seen.
    371       // If it does, transformation would be illegal.
    372       //
    373       // Don't count the roots, as they terminate the graphs.
    374       if (Roots.count(I) == 0) {
    375         // Set the type of the conversion while we're here.
    376         if (!ConvertedToTy)
    377           ConvertedToTy = I->getType();
    378         for (User *U : I->users()) {
    379           Instruction *UI = dyn_cast<Instruction>(U);
    380           if (!UI || SeenInsts.find(UI) == SeenInsts.end()) {
    381             LLVM_DEBUG(dbgs() << "F2I: Failing because of " << *U << "\n");
    382             Fail = true;
    383             break;
    384           }
    385         }
    386       }
    387       if (Fail)
    388         break;
    389     }
    390 
    391     // If the set was empty, or we failed, or the range is poisonous,
    392     // bail out.
    393     if (ECs.member_begin(It) == ECs.member_end() || Fail ||
    394         R.isFullSet() || R.isSignWrappedSet())
    395       continue;
    396     assert(ConvertedToTy && "Must have set the convertedtoty by this point!");
    397 
    398     // The number of bits required is the maximum of the upper and
    399     // lower limits, plus one so it can be signed.
    400     unsigned MinBW = std::max(R.getLower().getMinSignedBits(),
    401                               R.getUpper().getMinSignedBits()) + 1;
    402     LLVM_DEBUG(dbgs() << "F2I: MinBitwidth=" << MinBW << ", R: " << R << "\n");
    403 
    404     // If we've run off the realms of the exactly representable integers,
    405     // the floating point result will differ from an integer approximation.
    406 
    407     // Do we need more bits than are in the mantissa of the type we converted
    408     // to? semanticsPrecision returns the number of mantissa bits plus one
    409     // for the sign bit.
    410     unsigned MaxRepresentableBits
    411       = APFloat::semanticsPrecision(ConvertedToTy->getFltSemantics()) - 1;
    412     if (MinBW > MaxRepresentableBits) {
    413       LLVM_DEBUG(dbgs() << "F2I: Value not guaranteed to be representable!\n");
    414       continue;
    415     }
    416     if (MinBW > 64) {
    417       LLVM_DEBUG(
    418           dbgs() << "F2I: Value requires more than 64 bits to represent!\n");
    419       continue;
    420     }
    421 
    422     // OK, R is known to be representable. Now pick a type for it.
    423     // FIXME: Pick the smallest legal type that will fit.
    424     Type *Ty = (MinBW > 32) ? Type::getInt64Ty(*Ctx) : Type::getInt32Ty(*Ctx);
    425 
    426     for (auto MI = ECs.member_begin(It), ME = ECs.member_end();
    427          MI != ME; ++MI)
    428       convert(*MI, Ty);
    429     MadeChange = true;
    430   }
    431 
    432   return MadeChange;
    433 }
    434 
    435 Value *Float2IntPass::convert(Instruction *I, Type *ToTy) {
    436   if (ConvertedInsts.find(I) != ConvertedInsts.end())
    437     // Already converted this instruction.
    438     return ConvertedInsts[I];
    439 
    440   SmallVector<Value*,4> NewOperands;
    441   for (Value *V : I->operands()) {
    442     // Don't recurse if we're an instruction that terminates the path.
    443     if (I->getOpcode() == Instruction::UIToFP ||
    444         I->getOpcode() == Instruction::SIToFP) {
    445       NewOperands.push_back(V);
    446     } else if (Instruction *VI = dyn_cast<Instruction>(V)) {
    447       NewOperands.push_back(convert(VI, ToTy));
    448     } else if (ConstantFP *CF = dyn_cast<ConstantFP>(V)) {
    449       APSInt Val(ToTy->getPrimitiveSizeInBits(), /*isUnsigned=*/false);
    450       bool Exact;
    451       CF->getValueAPF().convertToInteger(Val,
    452                                          APFloat::rmNearestTiesToEven,
    453                                          &Exact);
    454       NewOperands.push_back(ConstantInt::get(ToTy, Val));
    455     } else {
    456       llvm_unreachable("Unhandled operand type?");
    457     }
    458   }
    459 
    460   // Now create a new instruction.
    461   IRBuilder<> IRB(I);
    462   Value *NewV = nullptr;
    463   switch (I->getOpcode()) {
    464   default: llvm_unreachable("Unhandled instruction!");
    465 
    466   case Instruction::FPToUI:
    467     NewV = IRB.CreateZExtOrTrunc(NewOperands[0], I->getType());
    468     break;
    469 
    470   case Instruction::FPToSI:
    471     NewV = IRB.CreateSExtOrTrunc(NewOperands[0], I->getType());
    472     break;
    473 
    474   case Instruction::FCmp: {
    475     CmpInst::Predicate P = mapFCmpPred(cast<CmpInst>(I)->getPredicate());
    476     assert(P != CmpInst::BAD_ICMP_PREDICATE && "Unhandled predicate!");
    477     NewV = IRB.CreateICmp(P, NewOperands[0], NewOperands[1], I->getName());
    478     break;
    479   }
    480 
    481   case Instruction::UIToFP:
    482     NewV = IRB.CreateZExtOrTrunc(NewOperands[0], ToTy);
    483     break;
    484 
    485   case Instruction::SIToFP:
    486     NewV = IRB.CreateSExtOrTrunc(NewOperands[0], ToTy);
    487     break;
    488 
    489   case Instruction::FNeg:
    490     NewV = IRB.CreateNeg(NewOperands[0], I->getName());
    491     break;
    492 
    493   case Instruction::FAdd:
    494   case Instruction::FSub:
    495   case Instruction::FMul:
    496     NewV = IRB.CreateBinOp(mapBinOpcode(I->getOpcode()),
    497                            NewOperands[0], NewOperands[1],
    498                            I->getName());
    499     break;
    500   }
    501 
    502   // If we're a root instruction, RAUW.
    503   if (Roots.count(I))
    504     I->replaceAllUsesWith(NewV);
    505 
    506   ConvertedInsts[I] = NewV;
    507   return NewV;
    508 }
    509 
    510 // Perform dead code elimination on the instructions we just modified.
    511 void Float2IntPass::cleanup() {
    512   for (auto &I : reverse(ConvertedInsts))
    513     I.first->eraseFromParent();
    514 }
    515 
    516 bool Float2IntPass::runImpl(Function &F, const DominatorTree &DT) {
    517   LLVM_DEBUG(dbgs() << "F2I: Looking at function " << F.getName() << "\n");
    518   // Clear out all state.
    519   ECs = EquivalenceClasses<Instruction*>();
    520   SeenInsts.clear();
    521   ConvertedInsts.clear();
    522   Roots.clear();
    523 
    524   Ctx = &F.getParent()->getContext();
    525 
    526   findRoots(F, DT);
    527 
    528   walkBackwards();
    529   walkForwards();
    530 
    531   bool Modified = validateAndTransform();
    532   if (Modified)
    533     cleanup();
    534   return Modified;
    535 }
    536 
    537 namespace llvm {
    538 FunctionPass *createFloat2IntPass() { return new Float2IntLegacyPass(); }
    539 
    540 PreservedAnalyses Float2IntPass::run(Function &F, FunctionAnalysisManager &AM) {
    541   const DominatorTree &DT = AM.getResult<DominatorTreeAnalysis>(F);
    542   if (!runImpl(F, DT))
    543     return PreservedAnalyses::all();
    544 
    545   PreservedAnalyses PA;
    546   PA.preserveSet<CFGAnalyses>();
    547   return PA;
    548 }
    549 } // End namespace llvm
    550