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authorMichael Ilseman <milseman@apple.com>2012-09-18 22:02:40 +0000
committerMichael Ilseman <milseman@apple.com>2012-09-18 22:02:40 +0000
commitd2014649e0fc3c630c7530f6da060618c789d78d (patch)
tree418a0f86a38d92b73298a5f0826b272a00827b11 /lib/Transforms/Utils/IntegerDivision.cpp
parentb37b6ca4bb9a46bdf3788e7a45454e1cdeca17bd (diff)
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New utility for expanding integer division for targets that don't support it.
Implementation derived from compiler-rt's implementation of signed and unsigned integer division. git-svn-id: https://llvm.org/svn/llvm-project/llvm/trunk@164173 91177308-0d34-0410-b5e6-96231b3b80d8
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+//===-- IntegerDivision.cpp - Expand integer division ---------------------===//
+//
+// The LLVM Compiler Infrastructure
+//
+// This file is distributed under the University of Illinois Open Source
+// License. See LICENSE.TXT for details.
+//
+//===----------------------------------------------------------------------===//
+//
+// This file contains an implementation of 32bit scalar integer division for
+// targets that don't have native support. It's largely derived from
+// compiler-rt's implementation of __udivsi3, but hand-tuned to reduce the
+// amount of control flow
+//
+//===----------------------------------------------------------------------===//
+
+#define DEBUG_TYPE "integer-division"
+#include "llvm/Function.h"
+#include "llvm/Instructions.h"
+#include "llvm/Intrinsics.h"
+#include "llvm/IRBuilder.h"
+#include "llvm/Transforms/Utils/IntegerDivision.h"
+
+using namespace llvm;
+
+// Generate code to divide two signed integers. Returns the quotient, rounded
+// towards 0. Builder's insert point should be pointing at the sdiv
+// instruction. This will generate a udiv in the process, and Builder's insert
+// point will be pointing at the udiv (if present, i.e. not folded), ready to be
+// expanded if the user wishes.
+static Value* GenerateSignedDivisionCode(Value* Dividend, Value* Divisor,
+ IRBuilder<>& Builder) {
+ // Implementation taken from compiler-rt's __divsi3
+
+ ConstantInt* ThirtyOne = Builder.getInt32(31);
+
+ // ; %tmp = ashr i32 %dividend, 31
+ // ; %tmp1 = ashr i32 %divisor, 31
+ // ; %tmp2 = xor i32 %tmp, %dividend
+ // ; %u_dvnd = sub nsw i32 %tmp2, %tmp
+ // ; %tmp3 = xor i32 %tmp1, %divisor
+ // ; %u_dvsr = sub nsw i32 %tmp3, %tmp1
+ // ; %q_sgn = xor i32 %tmp1, %tmp
+ // ; %q_mag = udiv i32 %u_dvnd, %u_dvsr
+ // ; %tmp4 = xor i32 %q_mag, %q_sgn
+ // ; %q = sub i32 %tmp4, %q_sgn
+ Value* Tmp = Builder.CreateAShr(Dividend, ThirtyOne);
+ Value* Tmp1 = Builder.CreateAShr(Divisor, ThirtyOne);
+ Value* Tmp2 = Builder.CreateXor(Tmp, Dividend);
+ Value* U_Dvnd = Builder.CreateSub(Tmp2, Tmp);
+ Value* Tmp3 = Builder.CreateXor(Tmp1, Divisor);
+ Value* U_Dvsr = Builder.CreateSub(Tmp3, Tmp1);
+ Value* Q_Sgn = Builder.CreateXor(Tmp1, Tmp);
+ Value* Q_Mag = Builder.CreateUDiv(U_Dvnd, U_Dvsr);
+ Value* Tmp4 = Builder.CreateXor(Q_Mag, Q_Sgn);
+ Value* Q = Builder.CreateSub(Tmp4, Q_Sgn);
+
+ if (Instruction* UDiv = dyn_cast<Instruction>(Q_Mag))
+ Builder.SetInsertPoint(UDiv);
+
+ return Q;
+}
+
+// Generates code to divide two unsigned scalar 32-bit integers. Returns the
+// quotient, rounded towards 0. Builder's insert point should be pointing at the
+// udiv instruction.
+static Value* GenerateUnsignedDivisionCode(Value* Dividend, Value* Divisor,
+ IRBuilder<>& Builder) {
+ // The basic algorithm can be found in the compiler-rt project's
+ // implementation of __udivsi3.c. Here, we do a lower-level IR based approach
+ // that's been hand-tuned to lessen the amount of control flow involved.
+
+ // Some helper values
+ IntegerType* I32Ty = Builder.getInt32Ty();
+
+ ConstantInt* Zero = Builder.getInt32(0);
+ ConstantInt* One = Builder.getInt32(1);
+ ConstantInt* ThirtyOne = Builder.getInt32(31);
+ ConstantInt* NegOne = ConstantInt::getSigned(I32Ty, -1);
+ ConstantInt* True = Builder.getTrue();
+
+ BasicBlock* IBB = Builder.GetInsertBlock();
+ Function* F = IBB->getParent();
+ Function* CTLZi32 = Intrinsic::getDeclaration(F->getParent(), Intrinsic::ctlz,
+ I32Ty);
+
+ // Our CFG is going to look like:
+ // +---------------------+
+ // | special-cases |
+ // | ... |
+ // +---------------------+
+ // | |
+ // | +----------+
+ // | | bb1 |
+ // | | ... |
+ // | +----------+
+ // | | |
+ // | | +------------+
+ // | | | preheader |
+ // | | | ... |
+ // | | +------------+
+ // | | |
+ // | | | +---+
+ // | | | | |
+ // | | +------------+ |
+ // | | | do-while | |
+ // | | | ... | |
+ // | | +------------+ |
+ // | | | | |
+ // | +-----------+ +---+
+ // | | loop-exit |
+ // | | ... |
+ // | +-----------+
+ // | |
+ // +-------+
+ // | ... |
+ // | end |
+ // +-------+
+ BasicBlock* SpecialCases = Builder.GetInsertBlock();
+ SpecialCases->setName(Twine(SpecialCases->getName(), "_udiv-special-cases"));
+ BasicBlock* End = SpecialCases->splitBasicBlock(Builder.GetInsertPoint(),
+ "udiv-end");
+ BasicBlock* LoopExit = BasicBlock::Create(Builder.getContext(),
+ "udiv-loop-exit", F, End);
+ BasicBlock* DoWhile = BasicBlock::Create(Builder.getContext(),
+ "udiv-do-while", F, End);
+ BasicBlock* Preheader = BasicBlock::Create(Builder.getContext(),
+ "udiv-preheader", F, End);
+ BasicBlock* BB1 = BasicBlock::Create(Builder.getContext(),
+ "udiv-bb1", F, End);
+
+ // We'll be overwriting the terminator to insert our extra blocks
+ SpecialCases->getTerminator()->eraseFromParent();
+
+ // First off, check for special cases: dividend or divisor is zero, divisor
+ // is greater than dividend, and divisor is 1.
+ // ; special-cases:
+ // ; %ret0_1 = icmp eq i32 %divisor, 0
+ // ; %ret0_2 = icmp eq i32 %dividend, 0
+ // ; %ret0_3 = or i1 %ret0_1, %ret0_2
+ // ; %tmp0 = tail call i32 @llvm.ctlz.i32(i32 %divisor, i1 true)
+ // ; %tmp1 = tail call i32 @llvm.ctlz.i32(i32 %dividend, i1 true)
+ // ; %sr = sub nsw i32 %tmp0, %tmp1
+ // ; %ret0_4 = icmp ugt i32 %sr, 31
+ // ; %ret0 = or i1 %ret0_3, %ret0_4
+ // ; %retDividend = icmp eq i32 %sr, 31
+ // ; %retVal = select i1 %ret0, i32 0, i32 %dividend
+ // ; %earlyRet = or i1 %ret0, %retDividend
+ // ; br i1 %earlyRet, label %end, label %bb1
+ Builder.SetInsertPoint(SpecialCases);
+ Value* Ret0_1 = Builder.CreateICmpEQ(Divisor, Zero);
+ Value* Ret0_2 = Builder.CreateICmpEQ(Dividend, Zero);
+ Value* Ret0_3 = Builder.CreateOr(Ret0_1, Ret0_2);
+ Value* Tmp0 = Builder.CreateCall2(CTLZi32, Divisor, True);
+ Value* Tmp1 = Builder.CreateCall2(CTLZi32, Dividend, True);
+ Value* SR = Builder.CreateSub(Tmp0, Tmp1);
+ Value* Ret0_4 = Builder.CreateICmpUGT(SR, ThirtyOne);
+ Value* Ret0 = Builder.CreateOr(Ret0_3, Ret0_4);
+ Value* RetDividend = Builder.CreateICmpEQ(SR, ThirtyOne);
+ Value* RetVal = Builder.CreateSelect(Ret0, Zero, Dividend);
+ Value* EarlyRet = Builder.CreateOr(Ret0, RetDividend);
+ Builder.CreateCondBr(EarlyRet, End, BB1);
+
+ // ; bb1: ; preds = %special-cases
+ // ; %sr_1 = add i32 %sr, 1
+ // ; %tmp2 = sub i32 31, %sr
+ // ; %q = shl i32 %dividend, %tmp2
+ // ; %skipLoop = icmp eq i32 %sr_1, 0
+ // ; br i1 %skipLoop, label %loop-exit, label %preheader
+ Builder.SetInsertPoint(BB1);
+ Value* SR_1 = Builder.CreateAdd(SR, One);
+ Value* Tmp2 = Builder.CreateSub(ThirtyOne, SR);
+ Value* Q = Builder.CreateShl(Dividend, Tmp2);
+ Value* SkipLoop = Builder.CreateICmpEQ(SR_1, Zero);
+ Builder.CreateCondBr(SkipLoop, LoopExit, Preheader);
+
+ // ; preheader: ; preds = %bb1
+ // ; %tmp3 = lshr i32 %dividend, %sr_1
+ // ; %tmp4 = add i32 %divisor, -1
+ // ; br label %do-while
+ Builder.SetInsertPoint(Preheader);
+ Value* Tmp3 = Builder.CreateLShr(Dividend, SR_1);
+ Value* Tmp4 = Builder.CreateAdd(Divisor, NegOne);
+ Builder.CreateBr(DoWhile);
+
+ // ; do-while: ; preds = %do-while, %preheader
+ // ; %carry_1 = phi i32 [ 0, %preheader ], [ %carry, %do-while ]
+ // ; %sr_3 = phi i32 [ %sr_1, %preheader ], [ %sr_2, %do-while ]
+ // ; %r_1 = phi i32 [ %tmp3, %preheader ], [ %r, %do-while ]
+ // ; %q_2 = phi i32 [ %q, %preheader ], [ %q_1, %do-while ]
+ // ; %tmp5 = shl i32 %r_1, 1
+ // ; %tmp6 = lshr i32 %q_2, 31
+ // ; %tmp7 = or i32 %tmp5, %tmp6
+ // ; %tmp8 = shl i32 %q_2, 1
+ // ; %q_1 = or i32 %carry_1, %tmp8
+ // ; %tmp9 = sub i32 %tmp4, %tmp7
+ // ; %tmp10 = ashr i32 %tmp9, 31
+ // ; %carry = and i32 %tmp10, 1
+ // ; %tmp11 = and i32 %tmp10, %divisor
+ // ; %r = sub i32 %tmp7, %tmp11
+ // ; %sr_2 = add i32 %sr_3, -1
+ // ; %tmp12 = icmp eq i32 %sr_2, 0
+ // ; br i1 %tmp12, label %loop-exit, label %do-while
+ Builder.SetInsertPoint(DoWhile);
+ PHINode* Carry_1 = Builder.CreatePHI(I32Ty, 2);
+ PHINode* SR_3 = Builder.CreatePHI(I32Ty, 2);
+ PHINode* R_1 = Builder.CreatePHI(I32Ty, 2);
+ PHINode* Q_2 = Builder.CreatePHI(I32Ty, 2);
+ Value* Tmp5 = Builder.CreateShl(R_1, One);
+ Value* Tmp6 = Builder.CreateLShr(Q_2, ThirtyOne);
+ Value* Tmp7 = Builder.CreateOr(Tmp5, Tmp6);
+ Value* Tmp8 = Builder.CreateShl(Q_2, One);
+ Value* Q_1 = Builder.CreateOr(Carry_1, Tmp8);
+ Value* Tmp9 = Builder.CreateSub(Tmp4, Tmp7);
+ Value* Tmp10 = Builder.CreateAShr(Tmp9, 31);
+ Value* Carry = Builder.CreateAnd(Tmp10, One);
+ Value* Tmp11 = Builder.CreateAnd(Tmp10, Divisor);
+ Value* R = Builder.CreateSub(Tmp7, Tmp11);
+ Value* SR_2 = Builder.CreateAdd(SR_3, NegOne);
+ Value* Tmp12 = Builder.CreateICmpEQ(SR_2, Zero);
+ Builder.CreateCondBr(Tmp12, LoopExit, DoWhile);
+
+ // ; loop-exit: ; preds = %do-while, %bb1
+ // ; %carry_2 = phi i32 [ 0, %bb1 ], [ %carry, %do-while ]
+ // ; %q_3 = phi i32 [ %q, %bb1 ], [ %q_1, %do-while ]
+ // ; %tmp13 = shl i32 %q_3, 1
+ // ; %q_4 = or i32 %carry_2, %tmp13
+ // ; br label %end
+ Builder.SetInsertPoint(LoopExit);
+ PHINode* Carry_2 = Builder.CreatePHI(I32Ty, 2);
+ PHINode* Q_3 = Builder.CreatePHI(I32Ty, 2);
+ Value* Tmp13 = Builder.CreateShl(Q_3, One);
+ Value* Q_4 = Builder.CreateOr(Carry_2, Tmp13);
+ Builder.CreateBr(End);
+
+ // ; end: ; preds = %loop-exit, %special-cases
+ // ; %q_5 = phi i32 [ %q_4, %loop-exit ], [ %retVal, %special-cases ]
+ // ; ret i32 %q_5
+ Builder.SetInsertPoint(End, End->begin());
+ PHINode* Q_5 = Builder.CreatePHI(I32Ty, 2);
+
+ // Populate the Phis, since all values have now been created. Our Phis were:
+ // ; %carry_1 = phi i32 [ 0, %preheader ], [ %carry, %do-while ]
+ Carry_1->addIncoming(Zero, Preheader);
+ Carry_1->addIncoming(Carry, DoWhile);
+ // ; %sr_3 = phi i32 [ %sr_1, %preheader ], [ %sr_2, %do-while ]
+ SR_3->addIncoming(SR_1, Preheader);
+ SR_3->addIncoming(SR_2, DoWhile);
+ // ; %r_1 = phi i32 [ %tmp3, %preheader ], [ %r, %do-while ]
+ R_1->addIncoming(Tmp3, Preheader);
+ R_1->addIncoming(R, DoWhile);
+ // ; %q_2 = phi i32 [ %q, %preheader ], [ %q_1, %do-while ]
+ Q_2->addIncoming(Q, Preheader);
+ Q_2->addIncoming(Q_1, DoWhile);
+ // ; %carry_2 = phi i32 [ 0, %bb1 ], [ %carry, %do-while ]
+ Carry_2->addIncoming(Zero, BB1);
+ Carry_2->addIncoming(Carry, DoWhile);
+ // ; %q_3 = phi i32 [ %q, %bb1 ], [ %q_1, %do-while ]
+ Q_3->addIncoming(Q, BB1);
+ Q_3->addIncoming(Q_1, DoWhile);
+ // ; %q_5 = phi i32 [ %q_4, %loop-exit ], [ %retVal, %special-cases ]
+ Q_5->addIncoming(Q_4, LoopExit);
+ Q_5->addIncoming(RetVal, SpecialCases);
+
+ return Q_5;
+}
+
+bool llvm::expandDivision(BinaryOperator* Div) {
+ assert(Div->getOpcode() == Instruction::SDiv ||
+ Div->getOpcode() == Instruction::UDiv
+ && "Trying to expand division from a non-division function");
+
+ IRBuilder<> Builder(Div);
+
+ if (Div->getType()->isVectorTy()) {
+ assert(0 && "Div over vectors not supported");
+ return false;
+ }
+
+ // First prepare the sign if it's a signed division
+ if (Div->getOpcode() == Instruction::SDiv) {
+ // Lower the code to unsigned division, and reset Div to point to the udiv.
+ Value* Quotient = GenerateSignedDivisionCode(Div->getOperand(0),
+ Div->getOperand(1), Builder);
+ Div->replaceAllUsesWith(Quotient);
+ Div->dropAllReferences();
+ Div->eraseFromParent();
+
+ // If we didn't actually generate a udiv instruction, we're done
+ BinaryOperator* BO = dyn_cast<BinaryOperator>(Builder.GetInsertPoint());
+ if (!BO || BO->getOpcode() != Instruction::UDiv)
+ return true;
+
+ Div = BO;
+ }
+
+ // Insert the unsigned division code
+ Value* Quotient = GenerateUnsignedDivisionCode(Div->getOperand(0),
+ Div->getOperand(1),
+ Builder);
+ Div->replaceAllUsesWith(Quotient);
+ Div->dropAllReferences();
+ Div->eraseFromParent();
+
+ return true;
+}