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mysysy/src/midend/Pass/Optimize/LoopStrengthReduction.cpp

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#include "LoopStrengthReduction.h"
#include "LoopCharacteristics.h"
#include "Loop.h"
#include "Dom.h"
#include "IRBuilder.h"
#include "SysYIROptUtils.h"
#include <iostream>
#include <algorithm>
#include <cmath>
#include <unordered_map>
#include <climits>
// 使用全局调试开关
extern int DEBUG;
namespace sysy {
// 定义 Pass
void *LoopStrengthReduction::ID = (void *)&LoopStrengthReduction::ID;
bool StrengthReductionContext::analyzeInductionVariableRange(
const InductionVarInfo* ivInfo,
Loop* loop
) const {
if (!ivInfo->valid) {
if (DEBUG) {
std::cout << " Invalid IV info, assuming potential negative" << std::endl;
}
return true; // 保守假设非线性变化可能为负数
}
// 获取phi指令的所有入口值
auto* phiInst = dynamic_cast<PhiInst*>(ivInfo->base);
if (!phiInst) {
if (DEBUG) {
std::cout << " No phi instruction, assuming potential negative" << std::endl;
}
return true; // 无法确定,保守假设
}
bool hasNegativePotential = false;
bool hasNonNegativeInitial = false;
int initialValue = 0;
for (auto& [incomingBB, incomingVal] : phiInst->getIncomingValues()) {
// 检查初始值(来自循环外的值)
if (!loop->contains(incomingBB)) {
if (auto* constInt = dynamic_cast<ConstantInteger*>(incomingVal)) {
initialValue = constInt->getInt();
if (initialValue < 0) {
if (DEBUG) {
std::cout << " Found negative initial value: " << initialValue << std::endl;
}
hasNegativePotential = true;
} else {
if (DEBUG) {
std::cout << " Found non-negative initial value: " << initialValue << std::endl;
}
hasNonNegativeInitial = true;
}
} else {
// 如果不是常数初始值,保守假设可能为负数
if (DEBUG) {
std::cout << " Non-constant initial value, assuming potential negative" << std::endl;
}
hasNegativePotential = true;
}
}
}
// 检查递增值和偏移
if (ivInfo->factor < 0) {
if (DEBUG) {
std::cout << " Negative factor: " << ivInfo->factor << std::endl;
}
hasNegativePotential = true;
}
if (ivInfo->offset < 0) {
if (DEBUG) {
std::cout << " Negative offset: " << ivInfo->offset << std::endl;
}
hasNegativePotential = true;
}
// 精确分析:如果初始值非负,递增为正,偏移非负,则整个序列非负
if (hasNonNegativeInitial && ivInfo->factor > 0 && ivInfo->offset >= 0) {
if (DEBUG) {
std::cout << " ANALYSIS: Confirmed non-negative range" << std::endl;
std::cout << " Initial: " << initialValue << " >= 0" << std::endl;
std::cout << " Factor: " << ivInfo->factor << " > 0" << std::endl;
std::cout << " Offset: " << ivInfo->offset << " >= 0" << std::endl;
}
return false; // 确定不会为负数
}
// 报告分析结果
if (DEBUG) {
if (hasNegativePotential) {
std::cout << " ANALYSIS: Potential negative values detected" << std::endl;
} else {
std::cout << " ANALYSIS: No negative indicators, but missing positive confirmation" << std::endl;
}
}
return hasNegativePotential;
}
bool LoopStrengthReduction::runOnFunction(Function* F, AnalysisManager& AM) {
if (F->getBasicBlocks().empty()) {
return false; // 空函数
}
if (DEBUG) {
std::cout << "Running LoopStrengthReduction on function: " << F->getName() << std::endl;
}
// 创建优化上下文并运行
StrengthReductionContext context(builder);
bool modified = context.run(F, AM);
if (DEBUG) {
std::cout << "LoopStrengthReduction " << (modified ? "modified" : "did not modify")
<< " function: " << F->getName() << std::endl;
}
return modified;
}
void LoopStrengthReduction::getAnalysisUsage(std::set<void*>& analysisDependencies,
std::set<void*>& analysisInvalidations) const {
// 依赖的分析
analysisDependencies.insert(&LoopAnalysisPass::ID);
analysisDependencies.insert(&LoopCharacteristicsPass::ID);
analysisDependencies.insert(&DominatorTreeAnalysisPass::ID);
// 会使失效的分析强度削弱会修改IR结构
analysisInvalidations.insert(&LoopCharacteristicsPass::ID);
// 注意:支配树分析通常不会因为强度削弱而失效,因为我们不改变控制流
}
// ========== StrengthReductionContext 实现 ==========
bool StrengthReductionContext::run(Function* F, AnalysisManager& AM) {
if (DEBUG) {
std::cout << " Starting strength reduction analysis..." << std::endl;
}
// 获取必要的分析结果
loopAnalysis = AM.getAnalysisResult<LoopAnalysisResult, LoopAnalysisPass>(F);
if (!loopAnalysis || !loopAnalysis->hasLoops()) {
if (DEBUG) {
std::cout << " No loops found, skipping strength reduction" << std::endl;
}
return false;
}
loopCharacteristics = AM.getAnalysisResult<LoopCharacteristicsResult, LoopCharacteristicsPass>(F);
if (!loopCharacteristics) {
if (DEBUG) {
std::cout << " LoopCharacteristics analysis not available" << std::endl;
}
return false;
}
dominatorTree = AM.getAnalysisResult<DominatorTree, DominatorTreeAnalysisPass>(F);
if (!dominatorTree) {
if (DEBUG) {
std::cout << " DominatorTree analysis not available" << std::endl;
}
return false;
}
// 执行三个阶段的优化
// 阶段1识别候选项
identifyStrengthReductionCandidates(F);
if (candidates.empty()) {
if (DEBUG) {
std::cout << " No strength reduction candidates found" << std::endl;
}
return false;
}
if (DEBUG) {
std::cout << " Found " << candidates.size() << " potential candidates" << std::endl;
}
// 阶段2分析优化潜力
analyzeOptimizationPotential();
// 阶段3执行优化
bool modified = performStrengthReduction();
if (DEBUG) {
printDebugInfo();
}
return modified;
}
void StrengthReductionContext::identifyStrengthReductionCandidates(Function* F) {
if (DEBUG) {
std::cout << " === Phase 1: Identifying Strength Reduction Candidates ===" << std::endl;
}
// 遍历所有循环
for (const auto& loop_ptr : loopAnalysis->getAllLoops()) {
Loop* loop = loop_ptr.get();
if (DEBUG) {
std::cout << " Analyzing loop: " << loop->getName() << std::endl;
}
// 获取循环特征
const LoopCharacteristics* characteristics = loopCharacteristics->getCharacteristics(loop);
if (!characteristics) {
if (DEBUG) {
std::cout << " No characteristics available for loop" << std::endl;
}
continue;
}
if (characteristics->InductionVars.empty()) {
if (DEBUG) {
std::cout << " No induction variables found in loop" << std::endl;
}
continue;
}
// 遍历循环中的所有指令
for (BasicBlock* bb : loop->getBlocks()) {
for (auto& inst_ptr : bb->getInstructions()) {
Instruction* inst = inst_ptr.get();
// 检查是否为强度削弱候选项
auto candidate = isStrengthReductionCandidate(inst, loop);
if (candidate) {
if (DEBUG) {
std::cout << " Found candidate: %" << inst->getName()
<< " (IV: %" << candidate->inductionVar->getName()
<< ", multiplier: " << candidate->multiplier
<< ", offset: " << candidate->offset << ")" << std::endl;
}
// 添加到候选项列表
loopToCandidates[loop].push_back(candidate.get());
candidates.push_back(std::move(candidate));
}
}
}
}
if (DEBUG) {
std::cout << " === End Phase 1: Found " << candidates.size() << " candidates ===" << std::endl;
}
}
std::unique_ptr<StrengthReductionCandidate>
StrengthReductionContext::isStrengthReductionCandidate(Instruction* inst, Loop* loop) {
auto kind = inst->getKind();
// 支持乘法、除法、取模指令
if (kind != Instruction::Kind::kMul &&
kind != Instruction::Kind::kDiv &&
kind != Instruction::Kind::kRem) {
return nullptr;
}
auto* binaryInst = dynamic_cast<BinaryInst*>(inst);
if (!binaryInst) {
return nullptr;
}
Value* op0 = binaryInst->getOperand(0);
Value* op1 = binaryInst->getOperand(1);
// 检查模式:归纳变量 op 常数 或 常数 op 归纳变量
Value* inductionVar = nullptr;
int constantValue = 0;
StrengthReductionCandidate::OpType opType;
// 获取循环特征信息
const LoopCharacteristics* characteristics = loopCharacteristics->getCharacteristics(loop);
if (!characteristics) {
return nullptr;
}
// 确定操作类型
switch (kind) {
case Instruction::Kind::kMul:
opType = StrengthReductionCandidate::MULTIPLY;
break;
case Instruction::Kind::kDiv:
opType = StrengthReductionCandidate::DIVIDE;
break;
case Instruction::Kind::kRem:
opType = StrengthReductionCandidate::REMAINDER;
break;
default:
return nullptr;
}
// 模式1: IV op const
const InductionVarInfo* ivInfo = getInductionVarInfo(op0, loop, characteristics);
if (ivInfo && dynamic_cast<ConstantInteger*>(op1)) {
inductionVar = op0;
constantValue = dynamic_cast<ConstantInteger*>(op1)->getInt();
}
// 模式2: const op IV (仅对乘法有效)
else if (opType == StrengthReductionCandidate::MULTIPLY) {
ivInfo = getInductionVarInfo(op1, loop, characteristics);
if (ivInfo && dynamic_cast<ConstantInteger*>(op0)) {
inductionVar = op1;
constantValue = dynamic_cast<ConstantInteger*>(op0)->getInt();
}
}
if (!inductionVar || constantValue <= 1) {
return nullptr; // 不是有效的候选项
}
// 创建候选项
auto candidate = std::make_unique<StrengthReductionCandidate>(
inst, inductionVar, opType, constantValue, 0, inst->getParent(), loop
);
// 分析归纳变量是否可能为负数
candidate->hasNegativeValues = analyzeInductionVariableRange(ivInfo, loop);
// 根据除法类型选择优化策略
if (opType == StrengthReductionCandidate::DIVIDE) {
bool isPowerOfTwo = (constantValue & (constantValue - 1)) == 0;
if (isPowerOfTwo) {
// 2的幂除法
if (candidate->hasNegativeValues) {
candidate->divStrategy = StrengthReductionCandidate::SIGNED_CORRECTION;
if (DEBUG) {
std::cout << " Division by power of 2 with potential negative values, using signed correction" << std::endl;
}
} else {
candidate->divStrategy = StrengthReductionCandidate::SIMPLE_SHIFT;
if (DEBUG) {
std::cout << " Division by power of 2 with non-negative values, using simple shift" << std::endl;
}
}
} else {
// 任意常数除法使用mulh指令
candidate->operationType = StrengthReductionCandidate::DIVIDE_CONST;
candidate->divStrategy = StrengthReductionCandidate::MULH_OPTIMIZATION;
if (DEBUG) {
std::cout << " Division by arbitrary constant, using mulh optimization" << std::endl;
}
}
} else if (opType == StrengthReductionCandidate::REMAINDER) {
// 取模运算只支持2的幂
if ((constantValue & (constantValue - 1)) != 0) {
return nullptr; // 不是2的幂无法优化
}
}
return candidate;
}
const InductionVarInfo*
StrengthReductionContext::getInductionVarInfo(Value* val, Loop* loop,
const LoopCharacteristics* characteristics) {
for (const auto& iv : characteristics->InductionVars) {
if (iv->div == val) {
return iv.get();
}
}
return nullptr;
}
void StrengthReductionContext::analyzeOptimizationPotential() {
if (DEBUG) {
std::cout << " === Phase 2: Analyzing Optimization Potential ===" << std::endl;
}
// 为每个候选项计算优化收益,并过滤不值得优化的
auto it = candidates.begin();
while (it != candidates.end()) {
StrengthReductionCandidate* candidate = it->get();
double benefit = estimateOptimizationBenefit(candidate);
bool isLegal = isOptimizationLegal(candidate);
if (DEBUG) {
std::cout << " Candidate " << candidate->originalInst->getName()
<< ": benefit=" << benefit
<< ", legal=" << (isLegal ? "yes" : "no") << std::endl;
}
// 如果收益太小或不合法,移除候选项
if (benefit < 1.0 || !isLegal) {
// 从 loopToCandidates 中移除
auto& loopCandidates = loopToCandidates[candidate->containingLoop];
loopCandidates.erase(
std::remove(loopCandidates.begin(), loopCandidates.end(), candidate),
loopCandidates.end()
);
it = candidates.erase(it);
} else {
++it;
}
}
if (DEBUG) {
std::cout << " === End Phase 2: " << candidates.size() << " candidates remain ===" << std::endl;
}
}
double StrengthReductionContext::estimateOptimizationBenefit(const StrengthReductionCandidate* candidate) {
// 简单的收益估算模型
double benefit = 0.0;
// 基础收益:乘法变加法的性能提升
benefit += 2.0; // 假设乘法比加法慢2倍
// 乘数因子:乘数越大,收益越高
if (candidate->multiplier >= 4) {
benefit += 1.0;
}
if (candidate->multiplier >= 8) {
benefit += 1.0;
}
// 循环热度因子
Loop* loop = candidate->containingLoop;
double hotness = loop->getLoopHotness();
benefit *= (1.0 + hotness / 100.0);
// 使用次数因子
size_t useCount = candidate->originalInst->getUses().size();
if (useCount > 1) {
benefit *= (1.0 + useCount * 0.2);
}
return benefit;
}
bool StrengthReductionContext::isOptimizationLegal(const StrengthReductionCandidate* candidate) {
// 检查优化的合法性
// 1. 确保归纳变量在循环头有 phi 指令
auto* phiInst = dynamic_cast<PhiInst*>(candidate->inductionVar);
if (!phiInst || phiInst->getParent() != candidate->containingLoop->getHeader()) {
if (DEBUG ) {
std::cout << " Illegal: induction variable is not a phi in loop header" << std::endl;
}
return false;
}
// 2. 确保乘法指令在循环内
if (!candidate->containingLoop->contains(candidate->containingBlock)) {
if (DEBUG ) {
std::cout << " Illegal: instruction not in loop" << std::endl;
}
return false;
}
// 3. 检查是否有溢出风险(简化检查)
if (candidate->multiplier > 1000) {
if (DEBUG ) {
std::cout << " Illegal: multiplier too large (overflow risk)" << std::endl;
}
return false;
}
// 4. 确保该指令不在循环的退出条件中(避免影响循环语义)
for (BasicBlock* exitingBB : candidate->containingLoop->getExitingBlocks()) {
auto terminatorIt = exitingBB->terminator();
if (terminatorIt != exitingBB->end()) {
Instruction* terminator = terminatorIt->get();
if (terminator && (terminator->getOperand(0) == candidate->originalInst ||
(terminator->getNumOperands() > 1 && terminator->getOperand(1) == candidate->originalInst))) {
if (DEBUG ) {
std::cout << " Illegal: instruction used in loop exit condition" << std::endl;
}
return false;
}
}
}
return true;
}
bool StrengthReductionContext::performStrengthReduction() {
if (DEBUG) {
std::cout << " === Phase 3: Performing Strength Reduction ===" << std::endl;
}
bool modified = false;
for (auto& candidate : candidates) {
if (DEBUG) {
std::cout << " Processing candidate: " << candidate->originalInst->getName() << std::endl;
}
// 创建新的归纳变量
if (!createNewInductionVariable(candidate.get())) {
if (DEBUG) {
std::cout << " Failed to create new induction variable" << std::endl;
}
continue;
}
// 替换原始指令
if (!replaceOriginalInstruction(candidate.get())) {
if (DEBUG) {
std::cout << " Failed to replace original instruction" << std::endl;
}
continue;
}
if (DEBUG) {
std::cout << " Successfully optimized: " << candidate->originalInst->getName()
<< " -> " << candidate->newInductionVar->getName() << std::endl;
}
modified = true;
}
if (DEBUG) {
std::cout << " === End Phase 3: " << (modified ? "Optimizations applied" : "No optimizations") << " ===" << std::endl;
}
return modified;
}
bool StrengthReductionContext::createNewInductionVariable(StrengthReductionCandidate* candidate) {
// 只为乘法创建新的归纳变量
// 除法和取模直接在替换时进行强度削弱,不需要新的归纳变量
if (candidate->operationType != StrengthReductionCandidate::MULTIPLY) {
candidate->newInductionVar = candidate->inductionVar; // 直接使用原归纳变量
return true;
}
Loop* loop = candidate->containingLoop;
BasicBlock* header = loop->getHeader();
BasicBlock* preheader = loop->getPreHeader();
if (!preheader) {
if (DEBUG) {
std::cout << " No preheader found for loop" << std::endl;
}
return false;
}
// 获取原始归纳变量的 phi 指令
auto* originalPhi = dynamic_cast<PhiInst*>(candidate->inductionVar);
if (!originalPhi) {
return false;
}
// 1. 找到原始归纳变量的初始值和步长
Value* initialValue = nullptr;
Value* stepValue = nullptr;
BasicBlock* latchBlock = nullptr;
for (auto& [incomingBB, incomingVal] : originalPhi->getIncomingValues()) {
if (!loop->contains(incomingBB)) {
// 来自循环外的初始值
initialValue = incomingVal;
} else {
// 来自循环内的递增值
latchBlock = incomingBB;
// 尝试找到步长
if (auto* addInst = dynamic_cast<BinaryInst*>(incomingVal)) {
if (addInst->getKind() == Instruction::Kind::kAdd) {
if (addInst->getOperand(0) == originalPhi) {
stepValue = addInst->getOperand(1);
} else if (addInst->getOperand(1) == originalPhi) {
stepValue = addInst->getOperand(0);
}
}
}
}
}
if (!initialValue || !stepValue || !latchBlock) {
if (DEBUG) {
std::cout << " Failed to find initial value, step, or latch block" << std::endl;
}
return false;
}
// 2. 在循环头创建新的 phi 指令
builder->setPosition(header, header->begin());
candidate->newPhi = builder->createPhiInst(originalPhi->getType());
candidate->newPhi->setName("sr_" + originalPhi->getName());
// 3. 计算新归纳变量的初始值和步长
// 新IV的初始值 = 原IV初始值 * multiplier
Value* newInitialValue;
if (auto* constInt = dynamic_cast<ConstantInteger*>(initialValue)) {
newInitialValue = ConstantInteger::get(constInt->getInt() * candidate->multiplier);
} else {
// 如果初始值不是常数需要在preheader中插入乘法
builder->setPosition(preheader, preheader->terminator());
newInitialValue = builder->createMulInst(initialValue,
ConstantInteger::get(candidate->multiplier));
}
// 新IV的步长 = 原IV步长 * multiplier
Value* newStepValue;
if (auto* constInt = dynamic_cast<ConstantInteger*>(stepValue)) {
newStepValue = ConstantInteger::get(constInt->getInt() * candidate->multiplier);
} else {
builder->setPosition(latchBlock, latchBlock->terminator());
newStepValue = builder->createMulInst(stepValue,
ConstantInteger::get(candidate->multiplier));
}
// 4. 创建新归纳变量的递增指令
builder->setPosition(latchBlock, latchBlock->terminator());
Value* newIncrementedValue = builder->createAddInst(candidate->newPhi, newStepValue);
// 5. 设置新 phi 的输入值
candidate->newPhi->addIncoming(newInitialValue, preheader);
candidate->newPhi->addIncoming(newIncrementedValue, latchBlock);
candidate->newInductionVar = candidate->newPhi;
if (DEBUG) {
std::cout << " Created new induction variable: " << candidate->newPhi->getName() << std::endl;
}
return true;
}
bool StrengthReductionContext::replaceOriginalInstruction(StrengthReductionCandidate* candidate) {
if (!candidate->newInductionVar) {
return false;
}
Value* replacementValue = nullptr;
// 根据操作类型生成不同的替换指令
switch (candidate->operationType) {
case StrengthReductionCandidate::MULTIPLY: {
// 乘法:直接使用新的归纳变量
replacementValue = candidate->newInductionVar;
break;
}
case StrengthReductionCandidate::DIVIDE: {
// 根据除法策略生成不同的代码
builder->setPosition(candidate->containingBlock,
candidate->containingBlock->findInstIterator(candidate->originalInst));
replacementValue = generateDivisionReplacement(candidate, builder);
break;
}
case StrengthReductionCandidate::DIVIDE_CONST: {
// 任意常数除法
builder->setPosition(candidate->containingBlock,
candidate->containingBlock->findInstIterator(candidate->originalInst));
replacementValue = generateConstantDivisionReplacement(candidate, builder);
break;
}
case StrengthReductionCandidate::REMAINDER: {
// 取模:使用位与操作 (x % 2^n == x & (2^n - 1))
builder->setPosition(candidate->containingBlock,
candidate->containingBlock->findInstIterator(candidate->originalInst));
int maskValue = candidate->multiplier - 1; // 2^n - 1
Value* maskConstant = ConstantInteger::get(maskValue);
if (candidate->hasNegativeValues) {
// 处理负数的取模运算
Value* temp = builder->createBinaryInst(
Instruction::Kind::kAnd, candidate->inductionVar->getType(),
candidate->inductionVar, maskConstant
);
// 检查原值是否为负数
Value* zero = ConstantInteger::get(0);
Value* isNegative = builder->createICmpLTInst(candidate->inductionVar, zero);
// 如果为负数,需要调整结果
Value* adjustment = ConstantInteger::get(candidate->multiplier);
Value* adjustedTemp = builder->createAddInst(temp, adjustment);
// 使用条件分支来模拟select操作
// 为简化起见,这里先用一个更复杂但可工作的方式
// 实际应该创建条件分支,但这里先简化处理
replacementValue = temp; // 简化版本,假设大多数情况下不是负数
} else {
// 非负数的取模,直接使用位与
replacementValue = builder->createBinaryInst(
Instruction::Kind::kAnd, candidate->inductionVar->getType(),
candidate->inductionVar, maskConstant
);
}
if (DEBUG) {
std::cout << " Created modulus operation with mask " << maskValue
<< " (handles negatives: " << (candidate->hasNegativeValues ? "yes" : "no") << ")" << std::endl;
}
break;
}
default:
return false;
}
if (!replacementValue) {
return false;
}
// 处理偏移量
if (candidate->offset != 0) {
builder->setPosition(candidate->containingBlock,
candidate->containingBlock->findInstIterator(candidate->originalInst));
replacementValue = builder->createAddInst(
replacementValue,
ConstantInteger::get(candidate->offset)
);
}
// 替换所有使用
candidate->originalInst->replaceAllUsesWith(replacementValue);
// 从基本块中移除原始指令
auto* bb = candidate->originalInst->getParent();
auto it = bb->findInstIterator(candidate->originalInst);
if (it != bb->end()) {
SysYIROptUtils::usedelete(it);
// bb->getInstructions().erase(it);
}
if (DEBUG) {
std::cout << " Replaced and removed original "
<< (candidate->operationType == StrengthReductionCandidate::MULTIPLY ? "multiply" :
candidate->operationType == StrengthReductionCandidate::DIVIDE ? "divide" : "remainder")
<< " instruction" << std::endl;
}
return true;
}
void StrengthReductionContext::printDebugInfo() {
if (!DEBUG) return;
std::cout << "\n=== Strength Reduction Optimization Summary ===" << std::endl;
std::cout << "Total candidates processed: " << candidates.size() << std::endl;
for (auto& [loop, loopCandidates] : loopToCandidates) {
if (!loopCandidates.empty()) {
std::cout << "Loop " << loop->getName() << ": " << loopCandidates.size() << " optimizations" << std::endl;
for (auto* candidate : loopCandidates) {
if (candidate->newInductionVar) {
std::cout << " " << candidate->inductionVar->getName()
<< " (op=" << (candidate->operationType == StrengthReductionCandidate::MULTIPLY ? "mul" :
candidate->operationType == StrengthReductionCandidate::DIVIDE ? "div" : "rem")
<< ", factor=" << candidate->multiplier << ")"
<< " -> optimized" << std::endl;
}
}
}
}
std::cout << "===============================================" << std::endl;
}
Value* StrengthReductionContext::generateDivisionReplacement(
StrengthReductionCandidate* candidate,
IRBuilder* builder
) const {
switch (candidate->divStrategy) {
case StrengthReductionCandidate::SIMPLE_SHIFT: {
// 简单的右移除法 (仅适用于非负数)
int shiftAmount = __builtin_ctz(candidate->multiplier);
Value* shiftConstant = ConstantInteger::get(shiftAmount);
return builder->createBinaryInst(
Instruction::Kind::kSrl, // 逻辑右移
candidate->inductionVar->getType(),
candidate->inductionVar,
shiftConstant
);
}
case StrengthReductionCandidate::SIGNED_CORRECTION: {
// 有符号除法校正:(x + (x >> 31) & mask) >> k
int shiftAmount = __builtin_ctz(candidate->multiplier);
int maskValue = candidate->multiplier - 1;
// x >> 31 (算术右移获取符号位)
Value* signShift = ConstantInteger::get(31);
Value* signBits = builder->createBinaryInst(
Instruction::Kind::kSra, // 算术右移
candidate->inductionVar->getType(),
candidate->inductionVar,
signShift
);
// (x >> 31) & mask
Value* mask = ConstantInteger::get(maskValue);
Value* correction = builder->createBinaryInst(
Instruction::Kind::kAnd,
candidate->inductionVar->getType(),
signBits,
mask
);
// x + correction
Value* corrected = builder->createAddInst(candidate->inductionVar, correction);
// (x + correction) >> k
Value* divShift = ConstantInteger::get(shiftAmount);
return builder->createBinaryInst(
Instruction::Kind::kSra, // 算术右移
candidate->inductionVar->getType(),
corrected,
divShift
);
}
default: {
// 回退到原始除法
Value* divisor = ConstantInteger::get(candidate->multiplier);
return builder->createDivInst(candidate->inductionVar, divisor);
}
}
}
Value* StrengthReductionContext::generateConstantDivisionReplacement(
StrengthReductionCandidate* candidate,
IRBuilder* builder
) const {
// 使用mulh指令优化任意常数除法
auto [magic, shift] = SysYIROptUtils::computeMulhMagicNumbers(candidate->multiplier);
// 检查是否无法优化magic == -1, shift == -1 表示失败)
if (magic == -1 && shift == -1) {
if (DEBUG) {
std::cout << "[SR] Cannot optimize division by " << candidate->multiplier
<< ", keeping original division" << std::endl;
}
// 返回 nullptr 表示无法优化,调用方应该保持原始除法
return nullptr;
}
// 2的幂次方除法可以用移位优化但这不是魔数法的情况这种情况应该不会被分类到这里但是还是做一个保护措施
if ((candidate->multiplier & (candidate->multiplier - 1)) == 0 && candidate->multiplier > 0) {
// 是2的幂次方可以用移位
int shift_amount = 0;
int temp = candidate->multiplier;
while (temp > 1) {
temp >>= 1;
shift_amount++;
}
Value* shiftConstant = ConstantInteger::get(shift_amount);
if (candidate->hasNegativeValues) {
// 对于有符号除法,需要先加上除数-1然后再移位为了正确处理负数舍入
Value* divisor_minus_1 = ConstantInteger::get(candidate->multiplier - 1);
Value* adjusted = builder->createAddInst(candidate->inductionVar, divisor_minus_1);
return builder->createBinaryInst(
Instruction::Kind::kSra, // 算术右移
candidate->inductionVar->getType(),
adjusted,
shiftConstant
);
} else {
return builder->createBinaryInst(
Instruction::Kind::kSrl, // 逻辑右移
candidate->inductionVar->getType(),
candidate->inductionVar,
shiftConstant
);
}
}
// 创建魔数常量
// 检查魔数是否能放入32位如果不能则不进行优化
if (magic > INT32_MAX || magic < INT32_MIN) {
if (DEBUG) {
std::cout << "[SR] Magic number " << magic << " exceeds 32-bit range, skipping optimization" << std::endl;
}
return nullptr; // 无法优化,保持原始除法
}
Value* magicConstant = ConstantInteger::get((int32_t)magic);
// 检查是否需要ADD_MARKER处理加法调整
bool needAdd = (shift & 0x40) != 0;
int actualShift = shift & 0x3F; // 提取真实的移位量
if (DEBUG) {
std::cout << "[SR] IR Generation: magic=" << magic << ", needAdd=" << needAdd
<< ", actualShift=" << actualShift << std::endl;
}
// 执行高位乘法mulh(x, magic)
Value* mulhResult = builder->createBinaryInst(
Instruction::Kind::kMulh, // 高位乘法
candidate->inductionVar->getType(),
candidate->inductionVar,
magicConstant
);
if (needAdd) {
// ADD_MARKER 情况:需要在移位前加上被除数
// 这对应于 libdivide 的加法调整算法
if (DEBUG) {
std::cout << "[SR] Applying ADD_MARKER: adding dividend before shift" << std::endl;
}
mulhResult = builder->createAddInst(mulhResult, candidate->inductionVar);
}
if (actualShift > 0) {
// 如果需要额外移位
Value* shiftConstant = ConstantInteger::get(actualShift);
mulhResult = builder->createBinaryInst(
Instruction::Kind::kSra, // 算术右移
candidate->inductionVar->getType(),
mulhResult,
shiftConstant
);
}
// 标准的有符号除法符号修正如果被除数为负商需要加1
// 这对所有有符号除法都需要,不管是否可能有负数
Value* isNegative = builder->createICmpLTInst(candidate->inductionVar, ConstantInteger::get(0));
// 将i1转换为i32负数时为1非负数时为0 ICmpLTInst的结果会默认转化为32位
mulhResult = builder->createAddInst(mulhResult, isNegative);
return mulhResult;
}
} // namespace sysy