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      1 //===-- IntegerDivision.cpp - Expand integer division ---------------------===//
      2 //
      3 //                     The LLVM Compiler Infrastructure
      4 //
      5 // This file is distributed under the University of Illinois Open Source
      6 // License. See LICENSE.TXT for details.
      7 //
      8 //===----------------------------------------------------------------------===//
      9 //
     10 // This file contains an implementation of 32bit scalar integer division for
     11 // targets that don't have native support. It's largely derived from
     12 // compiler-rt's implementation of __udivsi3, but hand-tuned to reduce the
     13 // amount of control flow
     14 //
     15 //===----------------------------------------------------------------------===//
     16 
     17 #define DEBUG_TYPE "integer-division"
     18 #include "llvm/Transforms/Utils/IntegerDivision.h"
     19 #include "llvm/IR/Function.h"
     20 #include "llvm/IR/IRBuilder.h"
     21 #include "llvm/IR/Instructions.h"
     22 #include "llvm/IR/Intrinsics.h"
     23 
     24 using namespace llvm;
     25 
     26 /// Generate code to compute the remainder of two signed integers. Returns the
     27 /// remainder, which will have the sign of the dividend. Builder's insert point
     28 /// should be pointing where the caller wants code generated, e.g. at the srem
     29 /// instruction. This will generate a urem in the process, and Builder's insert
     30 /// point will be pointing at the uren (if present, i.e. not folded), ready to
     31 /// be expanded if the user wishes
     32 static Value *generateSignedRemainderCode(Value *Dividend, Value *Divisor,
     33                                           IRBuilder<> &Builder) {
     34   ConstantInt *ThirtyOne = Builder.getInt32(31);
     35 
     36   // ;   %dividend_sgn = ashr i32 %dividend, 31
     37   // ;   %divisor_sgn  = ashr i32 %divisor, 31
     38   // ;   %dvd_xor      = xor i32 %dividend, %dividend_sgn
     39   // ;   %dvs_xor      = xor i32 %divisor, %divisor_sgn
     40   // ;   %u_dividend   = sub i32 %dvd_xor, %dividend_sgn
     41   // ;   %u_divisor    = sub i32 %dvs_xor, %divisor_sgn
     42   // ;   %urem         = urem i32 %dividend, %divisor
     43   // ;   %xored        = xor i32 %urem, %dividend_sgn
     44   // ;   %srem         = sub i32 %xored, %dividend_sgn
     45   Value *DividendSign = Builder.CreateAShr(Dividend, ThirtyOne);
     46   Value *DivisorSign  = Builder.CreateAShr(Divisor, ThirtyOne);
     47   Value *DvdXor       = Builder.CreateXor(Dividend, DividendSign);
     48   Value *DvsXor       = Builder.CreateXor(Divisor, DivisorSign);
     49   Value *UDividend    = Builder.CreateSub(DvdXor, DividendSign);
     50   Value *UDivisor     = Builder.CreateSub(DvsXor, DivisorSign);
     51   Value *URem         = Builder.CreateURem(UDividend, UDivisor);
     52   Value *Xored        = Builder.CreateXor(URem, DividendSign);
     53   Value *SRem         = Builder.CreateSub(Xored, DividendSign);
     54 
     55   if (Instruction *URemInst = dyn_cast<Instruction>(URem))
     56     Builder.SetInsertPoint(URemInst);
     57 
     58   return SRem;
     59 }
     60 
     61 
     62 /// Generate code to compute the remainder of two unsigned integers. Returns the
     63 /// remainder. Builder's insert point should be pointing where the caller wants
     64 /// code generated, e.g. at the urem instruction. This will generate a udiv in
     65 /// the process, and Builder's insert point will be pointing at the udiv (if
     66 /// present, i.e. not folded), ready to be expanded if the user wishes
     67 static Value *generatedUnsignedRemainderCode(Value *Dividend, Value *Divisor,
     68                                              IRBuilder<> &Builder) {
     69   // Remainder = Dividend - Quotient*Divisor
     70 
     71   // ;   %quotient  = udiv i32 %dividend, %divisor
     72   // ;   %product   = mul i32 %divisor, %quotient
     73   // ;   %remainder = sub i32 %dividend, %product
     74   Value *Quotient  = Builder.CreateUDiv(Dividend, Divisor);
     75   Value *Product   = Builder.CreateMul(Divisor, Quotient);
     76   Value *Remainder = Builder.CreateSub(Dividend, Product);
     77 
     78   if (Instruction *UDiv = dyn_cast<Instruction>(Quotient))
     79     Builder.SetInsertPoint(UDiv);
     80 
     81   return Remainder;
     82 }
     83 
     84 /// Generate code to divide two signed integers. Returns the quotient, rounded
     85 /// towards 0. Builder's insert point should be pointing where the caller wants
     86 /// code generated, e.g. at the sdiv instruction. This will generate a udiv in
     87 /// the process, and Builder's insert point will be pointing at the udiv (if
     88 /// present, i.e. not folded), ready to be expanded if the user wishes.
     89 static Value *generateSignedDivisionCode(Value *Dividend, Value *Divisor,
     90                                          IRBuilder<> &Builder) {
     91   // Implementation taken from compiler-rt's __divsi3
     92 
     93   ConstantInt *ThirtyOne = Builder.getInt32(31);
     94 
     95   // ;   %tmp    = ashr i32 %dividend, 31
     96   // ;   %tmp1   = ashr i32 %divisor, 31
     97   // ;   %tmp2   = xor i32 %tmp, %dividend
     98   // ;   %u_dvnd = sub nsw i32 %tmp2, %tmp
     99   // ;   %tmp3   = xor i32 %tmp1, %divisor
    100   // ;   %u_dvsr = sub nsw i32 %tmp3, %tmp1
    101   // ;   %q_sgn  = xor i32 %tmp1, %tmp
    102   // ;   %q_mag  = udiv i32 %u_dvnd, %u_dvsr
    103   // ;   %tmp4   = xor i32 %q_mag, %q_sgn
    104   // ;   %q      = sub i32 %tmp4, %q_sgn
    105   Value *Tmp    = Builder.CreateAShr(Dividend, ThirtyOne);
    106   Value *Tmp1   = Builder.CreateAShr(Divisor, ThirtyOne);
    107   Value *Tmp2   = Builder.CreateXor(Tmp, Dividend);
    108   Value *U_Dvnd = Builder.CreateSub(Tmp2, Tmp);
    109   Value *Tmp3   = Builder.CreateXor(Tmp1, Divisor);
    110   Value *U_Dvsr = Builder.CreateSub(Tmp3, Tmp1);
    111   Value *Q_Sgn  = Builder.CreateXor(Tmp1, Tmp);
    112   Value *Q_Mag  = Builder.CreateUDiv(U_Dvnd, U_Dvsr);
    113   Value *Tmp4   = Builder.CreateXor(Q_Mag, Q_Sgn);
    114   Value *Q      = Builder.CreateSub(Tmp4, Q_Sgn);
    115 
    116   if (Instruction *UDiv = dyn_cast<Instruction>(Q_Mag))
    117     Builder.SetInsertPoint(UDiv);
    118 
    119   return Q;
    120 }
    121 
    122 /// Generates code to divide two unsigned scalar 32-bit integers. Returns the
    123 /// quotient, rounded towards 0. Builder's insert point should be pointing where
    124 /// the caller wants code generated, e.g. at the udiv instruction.
    125 static Value *generateUnsignedDivisionCode(Value *Dividend, Value *Divisor,
    126                                            IRBuilder<> &Builder) {
    127   // The basic algorithm can be found in the compiler-rt project's
    128   // implementation of __udivsi3.c. Here, we do a lower-level IR based approach
    129   // that's been hand-tuned to lessen the amount of control flow involved.
    130 
    131   // Some helper values
    132   IntegerType *I32Ty = Builder.getInt32Ty();
    133 
    134   ConstantInt *Zero      = Builder.getInt32(0);
    135   ConstantInt *One       = Builder.getInt32(1);
    136   ConstantInt *ThirtyOne = Builder.getInt32(31);
    137   ConstantInt *NegOne    = ConstantInt::getSigned(I32Ty, -1);
    138   ConstantInt *True      = Builder.getTrue();
    139 
    140   BasicBlock *IBB = Builder.GetInsertBlock();
    141   Function *F = IBB->getParent();
    142   Function *CTLZi32 = Intrinsic::getDeclaration(F->getParent(), Intrinsic::ctlz,
    143                                                 I32Ty);
    144 
    145   // Our CFG is going to look like:
    146   // +---------------------+
    147   // | special-cases       |
    148   // |   ...               |
    149   // +---------------------+
    150   //  |       |
    151   //  |   +----------+
    152   //  |   |  bb1     |
    153   //  |   |  ...     |
    154   //  |   +----------+
    155   //  |    |      |
    156   //  |    |  +------------+
    157   //  |    |  |  preheader |
    158   //  |    |  |  ...       |
    159   //  |    |  +------------+
    160   //  |    |      |
    161   //  |    |      |      +---+
    162   //  |    |      |      |   |
    163   //  |    |  +------------+ |
    164   //  |    |  |  do-while  | |
    165   //  |    |  |  ...       | |
    166   //  |    |  +------------+ |
    167   //  |    |      |      |   |
    168   //  |   +-----------+  +---+
    169   //  |   | loop-exit |
    170   //  |   |  ...      |
    171   //  |   +-----------+
    172   //  |     |
    173   // +-------+
    174   // | ...   |
    175   // | end   |
    176   // +-------+
    177   BasicBlock *SpecialCases = Builder.GetInsertBlock();
    178   SpecialCases->setName(Twine(SpecialCases->getName(), "_udiv-special-cases"));
    179   BasicBlock *End = SpecialCases->splitBasicBlock(Builder.GetInsertPoint(),
    180                                                   "udiv-end");
    181   BasicBlock *LoopExit  = BasicBlock::Create(Builder.getContext(),
    182                                              "udiv-loop-exit", F, End);
    183   BasicBlock *DoWhile   = BasicBlock::Create(Builder.getContext(),
    184                                              "udiv-do-while", F, End);
    185   BasicBlock *Preheader = BasicBlock::Create(Builder.getContext(),
    186                                              "udiv-preheader", F, End);
    187   BasicBlock *BB1       = BasicBlock::Create(Builder.getContext(),
    188                                              "udiv-bb1", F, End);
    189 
    190   // We'll be overwriting the terminator to insert our extra blocks
    191   SpecialCases->getTerminator()->eraseFromParent();
    192 
    193   // First off, check for special cases: dividend or divisor is zero, divisor
    194   // is greater than dividend, and divisor is 1.
    195   // ; special-cases:
    196   // ;   %ret0_1      = icmp eq i32 %divisor, 0
    197   // ;   %ret0_2      = icmp eq i32 %dividend, 0
    198   // ;   %ret0_3      = or i1 %ret0_1, %ret0_2
    199   // ;   %tmp0        = tail call i32 @llvm.ctlz.i32(i32 %divisor, i1 true)
    200   // ;   %tmp1        = tail call i32 @llvm.ctlz.i32(i32 %dividend, i1 true)
    201   // ;   %sr          = sub nsw i32 %tmp0, %tmp1
    202   // ;   %ret0_4      = icmp ugt i32 %sr, 31
    203   // ;   %ret0        = or i1 %ret0_3, %ret0_4
    204   // ;   %retDividend = icmp eq i32 %sr, 31
    205   // ;   %retVal      = select i1 %ret0, i32 0, i32 %dividend
    206   // ;   %earlyRet    = or i1 %ret0, %retDividend
    207   // ;   br i1 %earlyRet, label %end, label %bb1
    208   Builder.SetInsertPoint(SpecialCases);
    209   Value *Ret0_1      = Builder.CreateICmpEQ(Divisor, Zero);
    210   Value *Ret0_2      = Builder.CreateICmpEQ(Dividend, Zero);
    211   Value *Ret0_3      = Builder.CreateOr(Ret0_1, Ret0_2);
    212   Value *Tmp0        = Builder.CreateCall2(CTLZi32, Divisor, True);
    213   Value *Tmp1        = Builder.CreateCall2(CTLZi32, Dividend, True);
    214   Value *SR          = Builder.CreateSub(Tmp0, Tmp1);
    215   Value *Ret0_4      = Builder.CreateICmpUGT(SR, ThirtyOne);
    216   Value *Ret0        = Builder.CreateOr(Ret0_3, Ret0_4);
    217   Value *RetDividend = Builder.CreateICmpEQ(SR, ThirtyOne);
    218   Value *RetVal      = Builder.CreateSelect(Ret0, Zero, Dividend);
    219   Value *EarlyRet    = Builder.CreateOr(Ret0, RetDividend);
    220   Builder.CreateCondBr(EarlyRet, End, BB1);
    221 
    222   // ; bb1:                                             ; preds = %special-cases
    223   // ;   %sr_1     = add i32 %sr, 1
    224   // ;   %tmp2     = sub i32 31, %sr
    225   // ;   %q        = shl i32 %dividend, %tmp2
    226   // ;   %skipLoop = icmp eq i32 %sr_1, 0
    227   // ;   br i1 %skipLoop, label %loop-exit, label %preheader
    228   Builder.SetInsertPoint(BB1);
    229   Value *SR_1     = Builder.CreateAdd(SR, One);
    230   Value *Tmp2     = Builder.CreateSub(ThirtyOne, SR);
    231   Value *Q        = Builder.CreateShl(Dividend, Tmp2);
    232   Value *SkipLoop = Builder.CreateICmpEQ(SR_1, Zero);
    233   Builder.CreateCondBr(SkipLoop, LoopExit, Preheader);
    234 
    235   // ; preheader:                                           ; preds = %bb1
    236   // ;   %tmp3 = lshr i32 %dividend, %sr_1
    237   // ;   %tmp4 = add i32 %divisor, -1
    238   // ;   br label %do-while
    239   Builder.SetInsertPoint(Preheader);
    240   Value *Tmp3 = Builder.CreateLShr(Dividend, SR_1);
    241   Value *Tmp4 = Builder.CreateAdd(Divisor, NegOne);
    242   Builder.CreateBr(DoWhile);
    243 
    244   // ; do-while:                                 ; preds = %do-while, %preheader
    245   // ;   %carry_1 = phi i32 [ 0, %preheader ], [ %carry, %do-while ]
    246   // ;   %sr_3    = phi i32 [ %sr_1, %preheader ], [ %sr_2, %do-while ]
    247   // ;   %r_1     = phi i32 [ %tmp3, %preheader ], [ %r, %do-while ]
    248   // ;   %q_2     = phi i32 [ %q, %preheader ], [ %q_1, %do-while ]
    249   // ;   %tmp5  = shl i32 %r_1, 1
    250   // ;   %tmp6  = lshr i32 %q_2, 31
    251   // ;   %tmp7  = or i32 %tmp5, %tmp6
    252   // ;   %tmp8  = shl i32 %q_2, 1
    253   // ;   %q_1   = or i32 %carry_1, %tmp8
    254   // ;   %tmp9  = sub i32 %tmp4, %tmp7
    255   // ;   %tmp10 = ashr i32 %tmp9, 31
    256   // ;   %carry = and i32 %tmp10, 1
    257   // ;   %tmp11 = and i32 %tmp10, %divisor
    258   // ;   %r     = sub i32 %tmp7, %tmp11
    259   // ;   %sr_2  = add i32 %sr_3, -1
    260   // ;   %tmp12 = icmp eq i32 %sr_2, 0
    261   // ;   br i1 %tmp12, label %loop-exit, label %do-while
    262   Builder.SetInsertPoint(DoWhile);
    263   PHINode *Carry_1 = Builder.CreatePHI(I32Ty, 2);
    264   PHINode *SR_3    = Builder.CreatePHI(I32Ty, 2);
    265   PHINode *R_1     = Builder.CreatePHI(I32Ty, 2);
    266   PHINode *Q_2     = Builder.CreatePHI(I32Ty, 2);
    267   Value *Tmp5  = Builder.CreateShl(R_1, One);
    268   Value *Tmp6  = Builder.CreateLShr(Q_2, ThirtyOne);
    269   Value *Tmp7  = Builder.CreateOr(Tmp5, Tmp6);
    270   Value *Tmp8  = Builder.CreateShl(Q_2, One);
    271   Value *Q_1   = Builder.CreateOr(Carry_1, Tmp8);
    272   Value *Tmp9  = Builder.CreateSub(Tmp4, Tmp7);
    273   Value *Tmp10 = Builder.CreateAShr(Tmp9, 31);
    274   Value *Carry = Builder.CreateAnd(Tmp10, One);
    275   Value *Tmp11 = Builder.CreateAnd(Tmp10, Divisor);
    276   Value *R     = Builder.CreateSub(Tmp7, Tmp11);
    277   Value *SR_2  = Builder.CreateAdd(SR_3, NegOne);
    278   Value *Tmp12 = Builder.CreateICmpEQ(SR_2, Zero);
    279   Builder.CreateCondBr(Tmp12, LoopExit, DoWhile);
    280 
    281   // ; loop-exit:                                      ; preds = %do-while, %bb1
    282   // ;   %carry_2 = phi i32 [ 0, %bb1 ], [ %carry, %do-while ]
    283   // ;   %q_3     = phi i32 [ %q, %bb1 ], [ %q_1, %do-while ]
    284   // ;   %tmp13 = shl i32 %q_3, 1
    285   // ;   %q_4   = or i32 %carry_2, %tmp13
    286   // ;   br label %end
    287   Builder.SetInsertPoint(LoopExit);
    288   PHINode *Carry_2 = Builder.CreatePHI(I32Ty, 2);
    289   PHINode *Q_3     = Builder.CreatePHI(I32Ty, 2);
    290   Value *Tmp13 = Builder.CreateShl(Q_3, One);
    291   Value *Q_4   = Builder.CreateOr(Carry_2, Tmp13);
    292   Builder.CreateBr(End);
    293 
    294   // ; end:                                 ; preds = %loop-exit, %special-cases
    295   // ;   %q_5 = phi i32 [ %q_4, %loop-exit ], [ %retVal, %special-cases ]
    296   // ;   ret i32 %q_5
    297   Builder.SetInsertPoint(End, End->begin());
    298   PHINode *Q_5 = Builder.CreatePHI(I32Ty, 2);
    299 
    300   // Populate the Phis, since all values have now been created. Our Phis were:
    301   // ;   %carry_1 = phi i32 [ 0, %preheader ], [ %carry, %do-while ]
    302   Carry_1->addIncoming(Zero, Preheader);
    303   Carry_1->addIncoming(Carry, DoWhile);
    304   // ;   %sr_3 = phi i32 [ %sr_1, %preheader ], [ %sr_2, %do-while ]
    305   SR_3->addIncoming(SR_1, Preheader);
    306   SR_3->addIncoming(SR_2, DoWhile);
    307   // ;   %r_1 = phi i32 [ %tmp3, %preheader ], [ %r, %do-while ]
    308   R_1->addIncoming(Tmp3, Preheader);
    309   R_1->addIncoming(R, DoWhile);
    310   // ;   %q_2 = phi i32 [ %q, %preheader ], [ %q_1, %do-while ]
    311   Q_2->addIncoming(Q, Preheader);
    312   Q_2->addIncoming(Q_1, DoWhile);
    313   // ;   %carry_2 = phi i32 [ 0, %bb1 ], [ %carry, %do-while ]
    314   Carry_2->addIncoming(Zero, BB1);
    315   Carry_2->addIncoming(Carry, DoWhile);
    316   // ;   %q_3 = phi i32 [ %q, %bb1 ], [ %q_1, %do-while ]
    317   Q_3->addIncoming(Q, BB1);
    318   Q_3->addIncoming(Q_1, DoWhile);
    319   // ;   %q_5 = phi i32 [ %q_4, %loop-exit ], [ %retVal, %special-cases ]
    320   Q_5->addIncoming(Q_4, LoopExit);
    321   Q_5->addIncoming(RetVal, SpecialCases);
    322 
    323   return Q_5;
    324 }
    325 
    326 /// Generate code to calculate the remainder of two integers, replacing Rem with
    327 /// the generated code. This currently generates code using the udiv expansion,
    328 /// but future work includes generating more specialized code, e.g. when more
    329 /// information about the operands are known. Currently only implements 32bit
    330 /// scalar division (due to udiv's limitation), but future work is removing this
    331 /// limitation.
    332 ///
    333 /// @brief Replace Rem with generated code.
    334 bool llvm::expandRemainder(BinaryOperator *Rem) {
    335   assert((Rem->getOpcode() == Instruction::SRem ||
    336           Rem->getOpcode() == Instruction::URem) &&
    337          "Trying to expand remainder from a non-remainder function");
    338 
    339   IRBuilder<> Builder(Rem);
    340 
    341   // First prepare the sign if it's a signed remainder
    342   if (Rem->getOpcode() == Instruction::SRem) {
    343     Value *Remainder = generateSignedRemainderCode(Rem->getOperand(0),
    344                                                    Rem->getOperand(1), Builder);
    345 
    346     Rem->replaceAllUsesWith(Remainder);
    347     Rem->dropAllReferences();
    348     Rem->eraseFromParent();
    349 
    350     // If we didn't actually generate a udiv instruction, we're done
    351     BinaryOperator *BO = dyn_cast<BinaryOperator>(Builder.GetInsertPoint());
    352     if (!BO || BO->getOpcode() != Instruction::URem)
    353       return true;
    354 
    355     Rem = BO;
    356   }
    357 
    358   Value *Remainder = generatedUnsignedRemainderCode(Rem->getOperand(0),
    359                                                     Rem->getOperand(1),
    360                                                     Builder);
    361 
    362   Rem->replaceAllUsesWith(Remainder);
    363   Rem->dropAllReferences();
    364   Rem->eraseFromParent();
    365 
    366   // Expand the udiv
    367   if (BinaryOperator *UDiv = dyn_cast<BinaryOperator>(Builder.GetInsertPoint())) {
    368     assert(UDiv->getOpcode() == Instruction::UDiv && "Non-udiv in expansion?");
    369     expandDivision(UDiv);
    370   }
    371 
    372   return true;
    373 }
    374 
    375 
    376 /// Generate code to divide two integers, replacing Div with the generated
    377 /// code. This currently generates code similarly to compiler-rt's
    378 /// implementations, but future work includes generating more specialized code
    379 /// when more information about the operands are known. Currently only
    380 /// implements 32bit scalar division, but future work is removing this
    381 /// limitation.
    382 ///
    383 /// @brief Replace Div with generated code.
    384 bool llvm::expandDivision(BinaryOperator *Div) {
    385   assert((Div->getOpcode() == Instruction::SDiv ||
    386           Div->getOpcode() == Instruction::UDiv) &&
    387          "Trying to expand division from a non-division function");
    388 
    389   IRBuilder<> Builder(Div);
    390 
    391   if (Div->getType()->isVectorTy())
    392     llvm_unreachable("Div over vectors not supported");
    393 
    394   // First prepare the sign if it's a signed division
    395   if (Div->getOpcode() == Instruction::SDiv) {
    396     // Lower the code to unsigned division, and reset Div to point to the udiv.
    397     Value *Quotient = generateSignedDivisionCode(Div->getOperand(0),
    398                                                  Div->getOperand(1), Builder);
    399     Div->replaceAllUsesWith(Quotient);
    400     Div->dropAllReferences();
    401     Div->eraseFromParent();
    402 
    403     // If we didn't actually generate a udiv instruction, we're done
    404     BinaryOperator *BO = dyn_cast<BinaryOperator>(Builder.GetInsertPoint());
    405     if (!BO || BO->getOpcode() != Instruction::UDiv)
    406       return true;
    407 
    408     Div = BO;
    409   }
    410 
    411   // Insert the unsigned division code
    412   Value *Quotient = generateUnsignedDivisionCode(Div->getOperand(0),
    413                                                  Div->getOperand(1),
    414                                                  Builder);
    415   Div->replaceAllUsesWith(Quotient);
    416   Div->dropAllReferences();
    417   Div->eraseFromParent();
    418 
    419   return true;
    420 }
    421 
    422 /// Generate code to compute the remainder of two integers of bitwidth up to
    423 /// 32 bits. Uses the above routines and extends the inputs/truncates the
    424 /// outputs to operate in 32 bits; that is, these routines are good for targets
    425 /// that have no or very little suppport for smaller than 32 bit integer
    426 /// arithmetic.
    427 ///
    428 /// @brief Replace Rem with emulation code.
    429 bool llvm::expandRemainderUpTo32Bits(BinaryOperator *Rem) {
    430   assert((Rem->getOpcode() == Instruction::SRem ||
    431           Rem->getOpcode() == Instruction::URem) &&
    432           "Trying to expand remainder from a non-remainder function");
    433 
    434   Type *RemTy = Rem->getType();
    435   if (RemTy->isVectorTy())
    436     llvm_unreachable("Div over vectors not supported");
    437 
    438   unsigned RemTyBitWidth = RemTy->getIntegerBitWidth();
    439 
    440   if (RemTyBitWidth > 32)
    441     llvm_unreachable("Div of bitwidth greater than 32 not supported");
    442 
    443   if (RemTyBitWidth == 32)
    444     return expandRemainder(Rem);
    445 
    446   // If bitwidth smaller than 32 extend inputs, truncate output and proceed
    447   // with 32 bit division.
    448   IRBuilder<> Builder(Rem);
    449 
    450   Value *ExtDividend;
    451   Value *ExtDivisor;
    452   Value *ExtRem;
    453   Value *Trunc;
    454   Type *Int32Ty = Builder.getInt32Ty();
    455 
    456   if (Rem->getOpcode() == Instruction::SRem) {
    457     ExtDividend = Builder.CreateSExt(Rem->getOperand(0), Int32Ty);
    458     ExtDivisor = Builder.CreateSExt(Rem->getOperand(1), Int32Ty);
    459     ExtRem = Builder.CreateSRem(ExtDividend, ExtDivisor);
    460   } else {
    461     ExtDividend = Builder.CreateZExt(Rem->getOperand(0), Int32Ty);
    462     ExtDivisor = Builder.CreateZExt(Rem->getOperand(1), Int32Ty);
    463     ExtRem = Builder.CreateURem(ExtDividend, ExtDivisor);
    464   }
    465   Trunc = Builder.CreateTrunc(ExtRem, RemTy);
    466 
    467   Rem->replaceAllUsesWith(Trunc);
    468   Rem->dropAllReferences();
    469   Rem->eraseFromParent();
    470 
    471   return expandRemainder(cast<BinaryOperator>(ExtRem));
    472 }
    473 
    474 
    475 /// Generate code to divide two integers of bitwidth up to 32 bits. Uses the
    476 /// above routines and extends the inputs/truncates the outputs to operate
    477 /// in 32 bits; that is, these routines are good for targets that have no
    478 /// or very little support for smaller than 32 bit integer arithmetic.
    479 ///
    480 /// @brief Replace Div with emulation code.
    481 bool llvm::expandDivisionUpTo32Bits(BinaryOperator *Div) {
    482   assert((Div->getOpcode() == Instruction::SDiv ||
    483           Div->getOpcode() == Instruction::UDiv) &&
    484           "Trying to expand division from a non-division function");
    485 
    486   Type *DivTy = Div->getType();
    487   if (DivTy->isVectorTy())
    488     llvm_unreachable("Div over vectors not supported");
    489 
    490   unsigned DivTyBitWidth = DivTy->getIntegerBitWidth();
    491 
    492   if (DivTyBitWidth > 32)
    493     llvm_unreachable("Div of bitwidth greater than 32 not supported");
    494 
    495   if (DivTyBitWidth == 32)
    496     return expandDivision(Div);
    497 
    498   // If bitwidth smaller than 32 extend inputs, truncate output and proceed
    499   // with 32 bit division.
    500   IRBuilder<> Builder(Div);
    501 
    502   Value *ExtDividend;
    503   Value *ExtDivisor;
    504   Value *ExtDiv;
    505   Value *Trunc;
    506   Type *Int32Ty = Builder.getInt32Ty();
    507 
    508   if (Div->getOpcode() == Instruction::SDiv) {
    509     ExtDividend = Builder.CreateSExt(Div->getOperand(0), Int32Ty);
    510     ExtDivisor = Builder.CreateSExt(Div->getOperand(1), Int32Ty);
    511     ExtDiv = Builder.CreateSDiv(ExtDividend, ExtDivisor);
    512   } else {
    513     ExtDividend = Builder.CreateZExt(Div->getOperand(0), Int32Ty);
    514     ExtDivisor = Builder.CreateZExt(Div->getOperand(1), Int32Ty);
    515     ExtDiv = Builder.CreateUDiv(ExtDividend, ExtDivisor);
    516   }
    517   Trunc = Builder.CreateTrunc(ExtDiv, DivTy);
    518 
    519   Div->replaceAllUsesWith(Trunc);
    520   Div->dropAllReferences();
    521   Div->eraseFromParent();
    522 
    523   return expandDivision(cast<BinaryOperator>(ExtDiv));
    524 }
    525