Bug Summary

File:src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/lib/Transforms/Utils/LowerSwitch.cpp
Warning:line 500, column 33
Called C++ object pointer is null

Annotated Source Code

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clang -cc1 -cc1 -triple amd64-unknown-openbsd7.0 -analyze -disable-free -disable-llvm-verifier -discard-value-names -main-file-name LowerSwitch.cpp -analyzer-store=region -analyzer-opt-analyze-nested-blocks -analyzer-checker=core -analyzer-checker=apiModeling -analyzer-checker=unix -analyzer-checker=deadcode -analyzer-checker=cplusplus -analyzer-checker=security.insecureAPI.UncheckedReturn -analyzer-checker=security.insecureAPI.getpw -analyzer-checker=security.insecureAPI.gets -analyzer-checker=security.insecureAPI.mktemp -analyzer-checker=security.insecureAPI.mkstemp -analyzer-checker=security.insecureAPI.vfork -analyzer-checker=nullability.NullPassedToNonnull -analyzer-checker=nullability.NullReturnedFromNonnull -analyzer-output plist -w -setup-static-analyzer -mrelocation-model static -mframe-pointer=all -relaxed-aliasing -fno-rounding-math -mconstructor-aliases -munwind-tables -target-cpu x86-64 -tune-cpu generic -debugger-tuning=gdb -fcoverage-compilation-dir=/usr/src/gnu/usr.bin/clang/libLLVM/obj -resource-dir /usr/local/lib/clang/13.0.0 -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/Transforms -I /usr/src/gnu/usr.bin/clang/libLLVM/obj/../include/llvm/AMDGPU -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/lib/Target/AMDGPU -I /usr/src/gnu/usr.bin/clang/libLLVM/obj/../include/llvm/AMDGPU -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/lib/Target/AMDGPU -I /usr/src/gnu/usr.bin/clang/libLLVM/obj/../include/llvm/AMDGPU -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/lib/Target/AMDGPU -I /usr/src/gnu/usr.bin/clang/libLLVM/obj/../include/llvm/AMDGPU -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/lib/Target/AMDGPU -I /usr/src/gnu/usr.bin/clang/libLLVM/obj/../include/llvm/AMDGPU -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/lib/Target/AMDGPU -I /usr/src/gnu/usr.bin/clang/libLLVM/obj/../include/llvm/AMDGPU -I 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/usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/MC/MCParser -I /include/llvm/CodeGen/MIRParser -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/Transforms -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/Object -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/Option -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/Passes -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/ -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/ProfileData -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/Transforms -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/Transforms/Scalar -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/ADT -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/Support -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/DebugInfo/Symbolize -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/Target -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/Transforms -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/Transforms/Utils -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/Transforms -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/Transforms/Vectorize -I /usr/src/gnu/usr.bin/clang/libLLVM/obj/../include/llvm/X86 -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/lib/Target/X86 -I /usr/src/gnu/usr.bin/clang/libLLVM/obj/../include/llvm/X86 -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/lib/Target/X86 -I /usr/src/gnu/usr.bin/clang/libLLVM/obj/../include/llvm/X86 -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/lib/Target/X86 -I /usr/src/gnu/usr.bin/clang/libLLVM/obj/../include/llvm/X86 -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/lib/Target/X86 -I /usr/src/gnu/usr.bin/clang/libLLVM/obj/../include/llvm/X86 -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/lib/Target/X86 -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/Transforms -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/Transforms/IPO -I /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include -I /usr/src/gnu/usr.bin/clang/libLLVM/../include -I /usr/src/gnu/usr.bin/clang/libLLVM/obj -I /usr/src/gnu/usr.bin/clang/libLLVM/obj/../include -D NDEBUG -D __STDC_LIMIT_MACROS -D __STDC_CONSTANT_MACROS -D __STDC_FORMAT_MACROS -D LLVM_PREFIX="/usr" -internal-isystem /usr/include/c++/v1 -internal-isystem /usr/local/lib/clang/13.0.0/include -internal-externc-isystem /usr/include -O2 -Wno-unused-parameter -Wwrite-strings -Wno-missing-field-initializers -Wno-long-long -Wno-comment -std=c++14 -fdeprecated-macro -fdebug-compilation-dir=/usr/src/gnu/usr.bin/clang/libLLVM/obj -ferror-limit 19 -fvisibility-inlines-hidden -fwrapv -stack-protector 2 -fno-rtti -fgnuc-version=4.2.1 -vectorize-loops -vectorize-slp -fno-builtin-malloc -fno-builtin-calloc -fno-builtin-realloc -fno-builtin-valloc -fno-builtin-free -fno-builtin-strdup -fno-builtin-strndup -analyzer-output=html -faddrsig -D__GCC_HAVE_DWARF2_CFI_ASM=1 -o /home/ben/Projects/vmm/scan-build/2022-01-12-194120-40624-1 -x c++ /usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/lib/Transforms/Utils/LowerSwitch.cpp

/usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/lib/Transforms/Utils/LowerSwitch.cpp

1//===- LowerSwitch.cpp - Eliminate Switch instructions --------------------===//
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// The LowerSwitch transformation rewrites switch instructions with a sequence
10// of branches, which allows targets to get away with not implementing the
11// switch instruction until it is convenient.
12//
13//===----------------------------------------------------------------------===//
14
15#include "llvm/Transforms/Utils/LowerSwitch.h"
16#include "llvm/ADT/DenseMap.h"
17#include "llvm/ADT/STLExtras.h"
18#include "llvm/ADT/SmallPtrSet.h"
19#include "llvm/ADT/SmallVector.h"
20#include "llvm/Analysis/AssumptionCache.h"
21#include "llvm/Analysis/LazyValueInfo.h"
22#include "llvm/Analysis/ValueTracking.h"
23#include "llvm/IR/BasicBlock.h"
24#include "llvm/IR/CFG.h"
25#include "llvm/IR/ConstantRange.h"
26#include "llvm/IR/Constants.h"
27#include "llvm/IR/Function.h"
28#include "llvm/IR/InstrTypes.h"
29#include "llvm/IR/Instructions.h"
30#include "llvm/IR/PassManager.h"
31#include "llvm/IR/Value.h"
32#include "llvm/InitializePasses.h"
33#include "llvm/Pass.h"
34#include "llvm/Support/Casting.h"
35#include "llvm/Support/Compiler.h"
36#include "llvm/Support/Debug.h"
37#include "llvm/Support/KnownBits.h"
38#include "llvm/Support/raw_ostream.h"
39#include "llvm/Transforms/Utils.h"
40#include "llvm/Transforms/Utils/BasicBlockUtils.h"
41#include <algorithm>
42#include <cassert>
43#include <cstdint>
44#include <iterator>
45#include <limits>
46#include <vector>
47
48using namespace llvm;
49
50#define DEBUG_TYPE"lower-switch" "lower-switch"
51
52namespace {
53
54 struct IntRange {
55 int64_t Low, High;
56 };
57
58} // end anonymous namespace
59
60namespace {
61// Return true iff R is covered by Ranges.
62bool IsInRanges(const IntRange &R, const std::vector<IntRange> &Ranges) {
63 // Note: Ranges must be sorted, non-overlapping and non-adjacent.
64
65 // Find the first range whose High field is >= R.High,
66 // then check if the Low field is <= R.Low. If so, we
67 // have a Range that covers R.
68 auto I = llvm::lower_bound(
69 Ranges, R, [](IntRange A, IntRange B) { return A.High < B.High; });
70 return I != Ranges.end() && I->Low <= R.Low;
71}
72
73struct CaseRange {
74 ConstantInt *Low;
75 ConstantInt *High;
76 BasicBlock *BB;
77
78 CaseRange(ConstantInt *low, ConstantInt *high, BasicBlock *bb)
79 : Low(low), High(high), BB(bb) {}
80};
81
82using CaseVector = std::vector<CaseRange>;
83using CaseItr = std::vector<CaseRange>::iterator;
84
85/// The comparison function for sorting the switch case values in the vector.
86/// WARNING: Case ranges should be disjoint!
87struct CaseCmp {
88 bool operator()(const CaseRange &C1, const CaseRange &C2) {
89 const ConstantInt *CI1 = cast<const ConstantInt>(C1.Low);
90 const ConstantInt *CI2 = cast<const ConstantInt>(C2.High);
91 return CI1->getValue().slt(CI2->getValue());
92 }
93};
94
95/// Used for debugging purposes.
96LLVM_ATTRIBUTE_USED__attribute__((__used__))
97raw_ostream &operator<<(raw_ostream &O, const CaseVector &C) {
98 O << "[";
99
100 for (CaseVector::const_iterator B = C.begin(), E = C.end(); B != E;) {
101 O << "[" << B->Low->getValue() << ", " << B->High->getValue() << "]";
102 if (++B != E)
103 O << ", ";
104 }
105
106 return O << "]";
107}
108
109/// Update the first occurrence of the "switch statement" BB in the PHI
110/// node with the "new" BB. The other occurrences will:
111///
112/// 1) Be updated by subsequent calls to this function. Switch statements may
113/// have more than one outcoming edge into the same BB if they all have the same
114/// value. When the switch statement is converted these incoming edges are now
115/// coming from multiple BBs.
116/// 2) Removed if subsequent incoming values now share the same case, i.e.,
117/// multiple outcome edges are condensed into one. This is necessary to keep the
118/// number of phi values equal to the number of branches to SuccBB.
119void FixPhis(
120 BasicBlock *SuccBB, BasicBlock *OrigBB, BasicBlock *NewBB,
121 const unsigned NumMergedCases = std::numeric_limits<unsigned>::max()) {
122 for (BasicBlock::iterator I = SuccBB->begin(),
123 IE = SuccBB->getFirstNonPHI()->getIterator();
124 I != IE; ++I) {
125 PHINode *PN = cast<PHINode>(I);
126
127 // Only update the first occurrence.
128 unsigned Idx = 0, E = PN->getNumIncomingValues();
129 unsigned LocalNumMergedCases = NumMergedCases;
130 for (; Idx != E; ++Idx) {
131 if (PN->getIncomingBlock(Idx) == OrigBB) {
132 PN->setIncomingBlock(Idx, NewBB);
133 break;
134 }
135 }
136
137 // Remove additional occurrences coming from condensed cases and keep the
138 // number of incoming values equal to the number of branches to SuccBB.
139 SmallVector<unsigned, 8> Indices;
140 for (++Idx; LocalNumMergedCases > 0 && Idx < E; ++Idx)
141 if (PN->getIncomingBlock(Idx) == OrigBB) {
142 Indices.push_back(Idx);
143 LocalNumMergedCases--;
144 }
145 // Remove incoming values in the reverse order to prevent invalidating
146 // *successive* index.
147 for (unsigned III : llvm::reverse(Indices))
148 PN->removeIncomingValue(III);
149 }
150}
151
152/// Create a new leaf block for the binary lookup tree. It checks if the
153/// switch's value == the case's value. If not, then it jumps to the default
154/// branch. At this point in the tree, the value can't be another valid case
155/// value, so the jump to the "default" branch is warranted.
156BasicBlock *NewLeafBlock(CaseRange &Leaf, Value *Val, ConstantInt *LowerBound,
157 ConstantInt *UpperBound, BasicBlock *OrigBlock,
158 BasicBlock *Default) {
159 Function *F = OrigBlock->getParent();
160 BasicBlock *NewLeaf = BasicBlock::Create(Val->getContext(), "LeafBlock");
161 F->getBasicBlockList().insert(++OrigBlock->getIterator(), NewLeaf);
162
163 // Emit comparison
164 ICmpInst *Comp = nullptr;
165 if (Leaf.Low == Leaf.High) {
166 // Make the seteq instruction...
167 Comp =
168 new ICmpInst(*NewLeaf, ICmpInst::ICMP_EQ, Val, Leaf.Low, "SwitchLeaf");
169 } else {
170 // Make range comparison
171 if (Leaf.Low == LowerBound) {
172 // Val >= Min && Val <= Hi --> Val <= Hi
173 Comp = new ICmpInst(*NewLeaf, ICmpInst::ICMP_SLE, Val, Leaf.High,
174 "SwitchLeaf");
175 } else if (Leaf.High == UpperBound) {
176 // Val <= Max && Val >= Lo --> Val >= Lo
177 Comp = new ICmpInst(*NewLeaf, ICmpInst::ICMP_SGE, Val, Leaf.Low,
178 "SwitchLeaf");
179 } else if (Leaf.Low->isZero()) {
180 // Val >= 0 && Val <= Hi --> Val <=u Hi
181 Comp = new ICmpInst(*NewLeaf, ICmpInst::ICMP_ULE, Val, Leaf.High,
182 "SwitchLeaf");
183 } else {
184 // Emit V-Lo <=u Hi-Lo
185 Constant *NegLo = ConstantExpr::getNeg(Leaf.Low);
186 Instruction *Add = BinaryOperator::CreateAdd(
187 Val, NegLo, Val->getName() + ".off", NewLeaf);
188 Constant *UpperBound = ConstantExpr::getAdd(NegLo, Leaf.High);
189 Comp = new ICmpInst(*NewLeaf, ICmpInst::ICMP_ULE, Add, UpperBound,
190 "SwitchLeaf");
191 }
192 }
193
194 // Make the conditional branch...
195 BasicBlock *Succ = Leaf.BB;
196 BranchInst::Create(Succ, Default, Comp, NewLeaf);
197
198 // If there were any PHI nodes in this successor, rewrite one entry
199 // from OrigBlock to come from NewLeaf.
200 for (BasicBlock::iterator I = Succ->begin(); isa<PHINode>(I); ++I) {
201 PHINode *PN = cast<PHINode>(I);
202 // Remove all but one incoming entries from the cluster
203 uint64_t Range = Leaf.High->getSExtValue() - Leaf.Low->getSExtValue();
204 for (uint64_t j = 0; j < Range; ++j) {
205 PN->removeIncomingValue(OrigBlock);
206 }
207
208 int BlockIdx = PN->getBasicBlockIndex(OrigBlock);
209 assert(BlockIdx != -1 && "Switch didn't go to this successor??")((void)0);
210 PN->setIncomingBlock((unsigned)BlockIdx, NewLeaf);
211 }
212
213 return NewLeaf;
214}
215
216/// Convert the switch statement into a binary lookup of the case values.
217/// The function recursively builds this tree. LowerBound and UpperBound are
218/// used to keep track of the bounds for Val that have already been checked by
219/// a block emitted by one of the previous calls to switchConvert in the call
220/// stack.
221BasicBlock *SwitchConvert(CaseItr Begin, CaseItr End, ConstantInt *LowerBound,
222 ConstantInt *UpperBound, Value *Val,
223 BasicBlock *Predecessor, BasicBlock *OrigBlock,
224 BasicBlock *Default,
225 const std::vector<IntRange> &UnreachableRanges) {
226 assert(LowerBound && UpperBound && "Bounds must be initialized")((void)0);
227 unsigned Size = End - Begin;
228
229 if (Size == 1) {
230 // Check if the Case Range is perfectly squeezed in between
231 // already checked Upper and Lower bounds. If it is then we can avoid
232 // emitting the code that checks if the value actually falls in the range
233 // because the bounds already tell us so.
234 if (Begin->Low == LowerBound && Begin->High == UpperBound) {
235 unsigned NumMergedCases = 0;
236 NumMergedCases = UpperBound->getSExtValue() - LowerBound->getSExtValue();
237 FixPhis(Begin->BB, OrigBlock, Predecessor, NumMergedCases);
238 return Begin->BB;
239 }
240 return NewLeafBlock(*Begin, Val, LowerBound, UpperBound, OrigBlock,
241 Default);
242 }
243
244 unsigned Mid = Size / 2;
245 std::vector<CaseRange> LHS(Begin, Begin + Mid);
246 LLVM_DEBUG(dbgs() << "LHS: " << LHS << "\n")do { } while (false);
247 std::vector<CaseRange> RHS(Begin + Mid, End);
248 LLVM_DEBUG(dbgs() << "RHS: " << RHS << "\n")do { } while (false);
249
250 CaseRange &Pivot = *(Begin + Mid);
251 LLVM_DEBUG(dbgs() << "Pivot ==> [" << Pivot.Low->getValue() << ", "do { } while (false)
252 << Pivot.High->getValue() << "]\n")do { } while (false);
253
254 // NewLowerBound here should never be the integer minimal value.
255 // This is because it is computed from a case range that is never
256 // the smallest, so there is always a case range that has at least
257 // a smaller value.
258 ConstantInt *NewLowerBound = Pivot.Low;
259
260 // Because NewLowerBound is never the smallest representable integer
261 // it is safe here to subtract one.
262 ConstantInt *NewUpperBound = ConstantInt::get(NewLowerBound->getContext(),
263 NewLowerBound->getValue() - 1);
264
265 if (!UnreachableRanges.empty()) {
266 // Check if the gap between LHS's highest and NewLowerBound is unreachable.
267 int64_t GapLow = LHS.back().High->getSExtValue() + 1;
268 int64_t GapHigh = NewLowerBound->getSExtValue() - 1;
269 IntRange Gap = { GapLow, GapHigh };
270 if (GapHigh >= GapLow && IsInRanges(Gap, UnreachableRanges))
271 NewUpperBound = LHS.back().High;
272 }
273
274 LLVM_DEBUG(dbgs() << "LHS Bounds ==> [" << LowerBound->getSExtValue() << ", "do { } while (false)
275 << NewUpperBound->getSExtValue() << "]\n"do { } while (false)
276 << "RHS Bounds ==> [" << NewLowerBound->getSExtValue()do { } while (false)
277 << ", " << UpperBound->getSExtValue() << "]\n")do { } while (false);
278
279 // Create a new node that checks if the value is < pivot. Go to the
280 // left branch if it is and right branch if not.
281 Function* F = OrigBlock->getParent();
282 BasicBlock* NewNode = BasicBlock::Create(Val->getContext(), "NodeBlock");
283
284 ICmpInst* Comp = new ICmpInst(ICmpInst::ICMP_SLT,
285 Val, Pivot.Low, "Pivot");
286
287 BasicBlock *LBranch =
288 SwitchConvert(LHS.begin(), LHS.end(), LowerBound, NewUpperBound, Val,
289 NewNode, OrigBlock, Default, UnreachableRanges);
290 BasicBlock *RBranch =
291 SwitchConvert(RHS.begin(), RHS.end(), NewLowerBound, UpperBound, Val,
292 NewNode, OrigBlock, Default, UnreachableRanges);
293
294 F->getBasicBlockList().insert(++OrigBlock->getIterator(), NewNode);
295 NewNode->getInstList().push_back(Comp);
296
297 BranchInst::Create(LBranch, RBranch, Comp, NewNode);
298 return NewNode;
299}
300
301/// Transform simple list of \p SI's cases into list of CaseRange's \p Cases.
302/// \post \p Cases wouldn't contain references to \p SI's default BB.
303/// \returns Number of \p SI's cases that do not reference \p SI's default BB.
304unsigned Clusterify(CaseVector &Cases, SwitchInst *SI) {
305 unsigned NumSimpleCases = 0;
306
307 // Start with "simple" cases
308 for (auto Case : SI->cases()) {
309 if (Case.getCaseSuccessor() == SI->getDefaultDest())
310 continue;
311 Cases.push_back(CaseRange(Case.getCaseValue(), Case.getCaseValue(),
312 Case.getCaseSuccessor()));
313 ++NumSimpleCases;
314 }
315
316 llvm::sort(Cases, CaseCmp());
317
318 // Merge case into clusters
319 if (Cases.size() >= 2) {
320 CaseItr I = Cases.begin();
321 for (CaseItr J = std::next(I), E = Cases.end(); J != E; ++J) {
322 int64_t nextValue = J->Low->getSExtValue();
323 int64_t currentValue = I->High->getSExtValue();
324 BasicBlock* nextBB = J->BB;
325 BasicBlock* currentBB = I->BB;
326
327 // If the two neighboring cases go to the same destination, merge them
328 // into a single case.
329 assert(nextValue > currentValue && "Cases should be strictly ascending")((void)0);
330 if ((nextValue == currentValue + 1) && (currentBB == nextBB)) {
331 I->High = J->High;
332 // FIXME: Combine branch weights.
333 } else if (++I != J) {
334 *I = *J;
335 }
336 }
337 Cases.erase(std::next(I), Cases.end());
338 }
339
340 return NumSimpleCases;
341}
342
343/// Replace the specified switch instruction with a sequence of chained if-then
344/// insts in a balanced binary search.
345void ProcessSwitchInst(SwitchInst *SI,
346 SmallPtrSetImpl<BasicBlock *> &DeleteList,
347 AssumptionCache *AC, LazyValueInfo *LVI) {
348 BasicBlock *OrigBlock = SI->getParent();
349 Function *F = OrigBlock->getParent();
350 Value *Val = SI->getCondition(); // The value we are switching on...
351 BasicBlock* Default = SI->getDefaultDest();
352
353 // Don't handle unreachable blocks. If there are successors with phis, this
354 // would leave them behind with missing predecessors.
355 if ((OrigBlock != &F->getEntryBlock() && pred_empty(OrigBlock)) ||
8
Assuming the condition is false
10
Taking false branch
356 OrigBlock->getSinglePredecessor() == OrigBlock) {
9
Assuming the condition is false
357 DeleteList.insert(OrigBlock);
358 return;
359 }
360
361 // Prepare cases vector.
362 CaseVector Cases;
363 const unsigned NumSimpleCases = Clusterify(Cases, SI);
364 LLVM_DEBUG(dbgs() << "Clusterify finished. Total clusters: " << Cases.size()do { } while (false)
11
Loop condition is false. Exiting loop
365 << ". Total non-default cases: " << NumSimpleCasesdo { } while (false)
366 << "\nCase clusters: " << Cases << "\n")do { } while (false);
367
368 // If there is only the default destination, just branch.
369 if (Cases.empty()) {
12
Assuming the condition is false
13
Taking false branch
370 BranchInst::Create(Default, OrigBlock);
371 // Remove all the references from Default's PHIs to OrigBlock, but one.
372 FixPhis(Default, OrigBlock, OrigBlock);
373 SI->eraseFromParent();
374 return;
375 }
376
377 ConstantInt *LowerBound = nullptr;
378 ConstantInt *UpperBound = nullptr;
379 bool DefaultIsUnreachableFromSwitch = false;
380
381 if (isa<UnreachableInst>(Default->getFirstNonPHIOrDbg())) {
14
Assuming the object is not a 'UnreachableInst'
15
Taking false branch
382 // Make the bounds tightly fitted around the case value range, because we
383 // know that the value passed to the switch must be exactly one of the case
384 // values.
385 LowerBound = Cases.front().Low;
386 UpperBound = Cases.back().High;
387 DefaultIsUnreachableFromSwitch = true;
388 } else {
389 // Constraining the range of the value being switched over helps eliminating
390 // unreachable BBs and minimizing the number of `add` instructions
391 // newLeafBlock ends up emitting. Running CorrelatedValuePropagation after
392 // LowerSwitch isn't as good, and also much more expensive in terms of
393 // compile time for the following reasons:
394 // 1. it processes many kinds of instructions, not just switches;
395 // 2. even if limited to icmp instructions only, it will have to process
396 // roughly C icmp's per switch, where C is the number of cases in the
397 // switch, while LowerSwitch only needs to call LVI once per switch.
398 const DataLayout &DL = F->getParent()->getDataLayout();
399 KnownBits Known = computeKnownBits(Val, DL, /*Depth=*/0, AC, SI);
400 // TODO Shouldn't this create a signed range?
401 ConstantRange KnownBitsRange =
402 ConstantRange::fromKnownBits(Known, /*IsSigned=*/false);
403 const ConstantRange LVIRange = LVI->getConstantRange(Val, SI);
404 ConstantRange ValRange = KnownBitsRange.intersectWith(LVIRange);
405 // We delegate removal of unreachable non-default cases to other passes. In
406 // the unlikely event that some of them survived, we just conservatively
407 // maintain the invariant that all the cases lie between the bounds. This
408 // may, however, still render the default case effectively unreachable.
409 APInt Low = Cases.front().Low->getValue();
410 APInt High = Cases.back().High->getValue();
411 APInt Min = APIntOps::smin(ValRange.getSignedMin(), Low);
412 APInt Max = APIntOps::smax(ValRange.getSignedMax(), High);
413
414 LowerBound = ConstantInt::get(SI->getContext(), Min);
415 UpperBound = ConstantInt::get(SI->getContext(), Max);
416 DefaultIsUnreachableFromSwitch = (Min + (NumSimpleCases - 1) == Max);
16
Calling 'APInt::operator=='
23
Returning from 'APInt::operator=='
417 }
418
419 std::vector<IntRange> UnreachableRanges;
420
421 if (DefaultIsUnreachableFromSwitch) {
24
Assuming 'DefaultIsUnreachableFromSwitch' is true
25
Taking true branch
422 DenseMap<BasicBlock *, unsigned> Popularity;
423 unsigned MaxPop = 0;
424 BasicBlock *PopSucc = nullptr;
26
'PopSucc' initialized to a null pointer value
425
426 IntRange R = {std::numeric_limits<int64_t>::min(),
427 std::numeric_limits<int64_t>::max()};
428 UnreachableRanges.push_back(R);
429 for (const auto &I : Cases) {
430 int64_t Low = I.Low->getSExtValue();
431 int64_t High = I.High->getSExtValue();
432
433 IntRange &LastRange = UnreachableRanges.back();
434 if (LastRange.Low == Low) {
435 // There is nothing left of the previous range.
436 UnreachableRanges.pop_back();
437 } else {
438 // Terminate the previous range.
439 assert(Low > LastRange.Low)((void)0);
440 LastRange.High = Low - 1;
441 }
442 if (High != std::numeric_limits<int64_t>::max()) {
443 IntRange R = { High + 1, std::numeric_limits<int64_t>::max() };
444 UnreachableRanges.push_back(R);
445 }
446
447 // Count popularity.
448 int64_t N = High - Low + 1;
449 unsigned &Pop = Popularity[I.BB];
450 if ((Pop += N) > MaxPop) {
451 MaxPop = Pop;
452 PopSucc = I.BB;
453 }
454 }
455#ifndef NDEBUG1
456 /* UnreachableRanges should be sorted and the ranges non-adjacent. */
457 for (auto I = UnreachableRanges.begin(), E = UnreachableRanges.end();
458 I != E; ++I) {
459 assert(I->Low <= I->High)((void)0);
460 auto Next = I + 1;
461 if (Next != E) {
462 assert(Next->Low > I->High)((void)0);
463 }
464 }
465#endif
466
467 // As the default block in the switch is unreachable, update the PHI nodes
468 // (remove all of the references to the default block) to reflect this.
469 const unsigned NumDefaultEdges = SI->getNumCases() + 1 - NumSimpleCases;
470 for (unsigned I = 0; I < NumDefaultEdges; ++I)
27
Assuming 'I' is >= 'NumDefaultEdges'
28
Loop condition is false. Execution continues on line 475
471 Default->removePredecessor(OrigBlock);
472
473 // Use the most popular block as the new default, reducing the number of
474 // cases.
475 assert(MaxPop > 0 && PopSucc)((void)0);
476 Default = PopSucc;
29
Null pointer value stored to 'Default'
477 llvm::erase_if(Cases,
478 [PopSucc](const CaseRange &R) { return R.BB == PopSucc; });
479
480 // If there are no cases left, just branch.
481 if (Cases.empty()) {
30
Assuming the condition is false
31
Taking false branch
482 BranchInst::Create(Default, OrigBlock);
483 SI->eraseFromParent();
484 // As all the cases have been replaced with a single branch, only keep
485 // one entry in the PHI nodes.
486 for (unsigned I = 0 ; I < (MaxPop - 1) ; ++I)
487 PopSucc->removePredecessor(OrigBlock);
488 return;
489 }
490
491 // If the condition was a PHI node with the switch block as a predecessor
492 // removing predecessors may have caused the condition to be erased.
493 // Getting the condition value again here protects against that.
494 Val = SI->getCondition();
495 }
496
497 // Create a new, empty default block so that the new hierarchy of
498 // if-then statements go to this and the PHI nodes are happy.
499 BasicBlock *NewDefault = BasicBlock::Create(SI->getContext(), "NewDefault");
500 F->getBasicBlockList().insert(Default->getIterator(), NewDefault);
32
Called C++ object pointer is null
501 BranchInst::Create(Default, NewDefault);
502
503 BasicBlock *SwitchBlock =
504 SwitchConvert(Cases.begin(), Cases.end(), LowerBound, UpperBound, Val,
505 OrigBlock, OrigBlock, NewDefault, UnreachableRanges);
506
507 // If there are entries in any PHI nodes for the default edge, make sure
508 // to update them as well.
509 FixPhis(Default, OrigBlock, NewDefault);
510
511 // Branch to our shiny new if-then stuff...
512 BranchInst::Create(SwitchBlock, OrigBlock);
513
514 // We are now done with the switch instruction, delete it.
515 BasicBlock *OldDefault = SI->getDefaultDest();
516 OrigBlock->getInstList().erase(SI);
517
518 // If the Default block has no more predecessors just add it to DeleteList.
519 if (pred_empty(OldDefault))
520 DeleteList.insert(OldDefault);
521}
522
523bool LowerSwitch(Function &F, LazyValueInfo *LVI, AssumptionCache *AC) {
524 bool Changed = false;
525 SmallPtrSet<BasicBlock *, 8> DeleteList;
526
527 for (Function::iterator I = F.begin(), E = F.end(); I != E;) {
2
Loop condition is true. Entering loop body
528 BasicBlock *Cur =
529 &*I++; // Advance over block so we don't traverse new blocks
530
531 // If the block is a dead Default block that will be deleted later, don't
532 // waste time processing it.
533 if (DeleteList.count(Cur))
3
Assuming the condition is false
4
Taking false branch
534 continue;
535
536 if (SwitchInst *SI
5.1
'SI' is non-null
5.1
'SI' is non-null
= dyn_cast<SwitchInst>(Cur->getTerminator())) {
5
Assuming the object is a 'SwitchInst'
6
Taking true branch
537 Changed = true;
538 ProcessSwitchInst(SI, DeleteList, AC, LVI);
7
Calling 'ProcessSwitchInst'
539 }
540 }
541
542 for (BasicBlock *BB : DeleteList) {
543 LVI->eraseBlock(BB);
544 DeleteDeadBlock(BB);
545 }
546
547 return Changed;
548}
549
550/// Replace all SwitchInst instructions with chained branch instructions.
551class LowerSwitchLegacyPass : public FunctionPass {
552public:
553 // Pass identification, replacement for typeid
554 static char ID;
555
556 LowerSwitchLegacyPass() : FunctionPass(ID) {
557 initializeLowerSwitchLegacyPassPass(*PassRegistry::getPassRegistry());
558 }
559
560 bool runOnFunction(Function &F) override;
561
562 void getAnalysisUsage(AnalysisUsage &AU) const override {
563 AU.addRequired<LazyValueInfoWrapperPass>();
564 }
565};
566
567} // end anonymous namespace
568
569char LowerSwitchLegacyPass::ID = 0;
570
571// Publicly exposed interface to pass...
572char &llvm::LowerSwitchID = LowerSwitchLegacyPass::ID;
573
574INITIALIZE_PASS_BEGIN(LowerSwitchLegacyPass, "lowerswitch",static void *initializeLowerSwitchLegacyPassPassOnce(PassRegistry
&Registry) {
575 "Lower SwitchInst's to branches", false, false)static void *initializeLowerSwitchLegacyPassPassOnce(PassRegistry
&Registry) {
576INITIALIZE_PASS_DEPENDENCY(AssumptionCacheTracker)initializeAssumptionCacheTrackerPass(Registry);
577INITIALIZE_PASS_DEPENDENCY(LazyValueInfoWrapperPass)initializeLazyValueInfoWrapperPassPass(Registry);
578INITIALIZE_PASS_END(LowerSwitchLegacyPass, "lowerswitch",PassInfo *PI = new PassInfo( "Lower SwitchInst's to branches"
, "lowerswitch", &LowerSwitchLegacyPass::ID, PassInfo::NormalCtor_t
(callDefaultCtor<LowerSwitchLegacyPass>), false, false)
; Registry.registerPass(*PI, true); return PI; } static llvm::
once_flag InitializeLowerSwitchLegacyPassPassFlag; void llvm::
initializeLowerSwitchLegacyPassPass(PassRegistry &Registry
) { llvm::call_once(InitializeLowerSwitchLegacyPassPassFlag, initializeLowerSwitchLegacyPassPassOnce
, std::ref(Registry)); }
579 "Lower SwitchInst's to branches", false, false)PassInfo *PI = new PassInfo( "Lower SwitchInst's to branches"
, "lowerswitch", &LowerSwitchLegacyPass::ID, PassInfo::NormalCtor_t
(callDefaultCtor<LowerSwitchLegacyPass>), false, false)
; Registry.registerPass(*PI, true); return PI; } static llvm::
once_flag InitializeLowerSwitchLegacyPassPassFlag; void llvm::
initializeLowerSwitchLegacyPassPass(PassRegistry &Registry
) { llvm::call_once(InitializeLowerSwitchLegacyPassPassFlag, initializeLowerSwitchLegacyPassPassOnce
, std::ref(Registry)); }
580
581// createLowerSwitchPass - Interface to this file...
582FunctionPass *llvm::createLowerSwitchPass() {
583 return new LowerSwitchLegacyPass();
584}
585
586bool LowerSwitchLegacyPass::runOnFunction(Function &F) {
587 LazyValueInfo *LVI = &getAnalysis<LazyValueInfoWrapperPass>().getLVI();
588 auto *ACT = getAnalysisIfAvailable<AssumptionCacheTracker>();
589 AssumptionCache *AC = ACT ? &ACT->getAssumptionCache(F) : nullptr;
590 return LowerSwitch(F, LVI, AC);
591}
592
593PreservedAnalyses LowerSwitchPass::run(Function &F,
594 FunctionAnalysisManager &AM) {
595 LazyValueInfo *LVI = &AM.getResult<LazyValueAnalysis>(F);
596 AssumptionCache *AC = AM.getCachedResult<AssumptionAnalysis>(F);
597 return LowerSwitch(F, LVI, AC) ? PreservedAnalyses::none()
1
Calling 'LowerSwitch'
598 : PreservedAnalyses::all();
599}

/usr/src/gnu/usr.bin/clang/libLLVM/../../../llvm/llvm/include/llvm/ADT/APInt.h

1//===-- llvm/ADT/APInt.h - For Arbitrary Precision Integer -----*- C++ -*--===//
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/// \file
10/// This file implements a class to represent arbitrary precision
11/// integral constant values and operations on them.
12///
13//===----------------------------------------------------------------------===//
14
15#ifndef LLVM_ADT_APINT_H
16#define LLVM_ADT_APINT_H
17
18#include "llvm/Support/Compiler.h"
19#include "llvm/Support/MathExtras.h"
20#include <cassert>
21#include <climits>
22#include <cstring>
23#include <utility>
24
25namespace llvm {
26class FoldingSetNodeID;
27class StringRef;
28class hash_code;
29class raw_ostream;
30
31template <typename T> class SmallVectorImpl;
32template <typename T> class ArrayRef;
33template <typename T> class Optional;
34template <typename T> struct DenseMapInfo;
35
36class APInt;
37
38inline APInt operator-(APInt);
39
40//===----------------------------------------------------------------------===//
41// APInt Class
42//===----------------------------------------------------------------------===//
43
44/// Class for arbitrary precision integers.
45///
46/// APInt is a functional replacement for common case unsigned integer type like
47/// "unsigned", "unsigned long" or "uint64_t", but also allows non-byte-width
48/// integer sizes and large integer value types such as 3-bits, 15-bits, or more
49/// than 64-bits of precision. APInt provides a variety of arithmetic operators
50/// and methods to manipulate integer values of any bit-width. It supports both
51/// the typical integer arithmetic and comparison operations as well as bitwise
52/// manipulation.
53///
54/// The class has several invariants worth noting:
55/// * All bit, byte, and word positions are zero-based.
56/// * Once the bit width is set, it doesn't change except by the Truncate,
57/// SignExtend, or ZeroExtend operations.
58/// * All binary operators must be on APInt instances of the same bit width.
59/// Attempting to use these operators on instances with different bit
60/// widths will yield an assertion.
61/// * The value is stored canonically as an unsigned value. For operations
62/// where it makes a difference, there are both signed and unsigned variants
63/// of the operation. For example, sdiv and udiv. However, because the bit
64/// widths must be the same, operations such as Mul and Add produce the same
65/// results regardless of whether the values are interpreted as signed or
66/// not.
67/// * In general, the class tries to follow the style of computation that LLVM
68/// uses in its IR. This simplifies its use for LLVM.
69///
70class LLVM_NODISCARD[[clang::warn_unused_result]] APInt {
71public:
72 typedef uint64_t WordType;
73
74 /// This enum is used to hold the constants we needed for APInt.
75 enum : unsigned {
76 /// Byte size of a word.
77 APINT_WORD_SIZE = sizeof(WordType),
78 /// Bits in a word.
79 APINT_BITS_PER_WORD = APINT_WORD_SIZE * CHAR_BIT8
80 };
81
82 enum class Rounding {
83 DOWN,
84 TOWARD_ZERO,
85 UP,
86 };
87
88 static constexpr WordType WORDTYPE_MAX = ~WordType(0);
89
90private:
91 /// This union is used to store the integer value. When the
92 /// integer bit-width <= 64, it uses VAL, otherwise it uses pVal.
93 union {
94 uint64_t VAL; ///< Used to store the <= 64 bits integer value.
95 uint64_t *pVal; ///< Used to store the >64 bits integer value.
96 } U;
97
98 unsigned BitWidth; ///< The number of bits in this APInt.
99
100 friend struct DenseMapInfo<APInt>;
101
102 friend class APSInt;
103
104 /// Fast internal constructor
105 ///
106 /// This constructor is used only internally for speed of construction of
107 /// temporaries. It is unsafe for general use so it is not public.
108 APInt(uint64_t *val, unsigned bits) : BitWidth(bits) {
109 U.pVal = val;
110 }
111
112 /// Determine which word a bit is in.
113 ///
114 /// \returns the word position for the specified bit position.
115 static unsigned whichWord(unsigned bitPosition) {
116 return bitPosition / APINT_BITS_PER_WORD;
117 }
118
119 /// Determine which bit in a word a bit is in.
120 ///
121 /// \returns the bit position in a word for the specified bit position
122 /// in the APInt.
123 static unsigned whichBit(unsigned bitPosition) {
124 return bitPosition % APINT_BITS_PER_WORD;
125 }
126
127 /// Get a single bit mask.
128 ///
129 /// \returns a uint64_t with only bit at "whichBit(bitPosition)" set
130 /// This method generates and returns a uint64_t (word) mask for a single
131 /// bit at a specific bit position. This is used to mask the bit in the
132 /// corresponding word.
133 static uint64_t maskBit(unsigned bitPosition) {
134 return 1ULL << whichBit(bitPosition);
135 }
136
137 /// Clear unused high order bits
138 ///
139 /// This method is used internally to clear the top "N" bits in the high order
140 /// word that are not used by the APInt. This is needed after the most
141 /// significant word is assigned a value to ensure that those bits are
142 /// zero'd out.
143 APInt &clearUnusedBits() {
144 // Compute how many bits are used in the final word
145 unsigned WordBits = ((BitWidth-1) % APINT_BITS_PER_WORD) + 1;
146
147 // Mask out the high bits.
148 uint64_t mask = WORDTYPE_MAX >> (APINT_BITS_PER_WORD - WordBits);
149 if (isSingleWord())
150 U.VAL &= mask;
151 else
152 U.pVal[getNumWords() - 1] &= mask;
153 return *this;
154 }
155
156 /// Get the word corresponding to a bit position
157 /// \returns the corresponding word for the specified bit position.
158 uint64_t getWord(unsigned bitPosition) const {
159 return isSingleWord() ? U.VAL : U.pVal[whichWord(bitPosition)];
160 }
161
162 /// Utility method to change the bit width of this APInt to new bit width,
163 /// allocating and/or deallocating as necessary. There is no guarantee on the
164 /// value of any bits upon return. Caller should populate the bits after.
165 void reallocate(unsigned NewBitWidth);
166
167 /// Convert a char array into an APInt
168 ///
169 /// \param radix 2, 8, 10, 16, or 36
170 /// Converts a string into a number. The string must be non-empty
171 /// and well-formed as a number of the given base. The bit-width
172 /// must be sufficient to hold the result.
173 ///
174 /// This is used by the constructors that take string arguments.
175 ///
176 /// StringRef::getAsInteger is superficially similar but (1) does
177 /// not assume that the string is well-formed and (2) grows the
178 /// result to hold the input.
179 void fromString(unsigned numBits, StringRef str, uint8_t radix);
180
181 /// An internal division function for dividing APInts.
182 ///
183 /// This is used by the toString method to divide by the radix. It simply
184 /// provides a more convenient form of divide for internal use since KnuthDiv
185 /// has specific constraints on its inputs. If those constraints are not met
186 /// then it provides a simpler form of divide.
187 static void divide(const WordType *LHS, unsigned lhsWords,
188 const WordType *RHS, unsigned rhsWords, WordType *Quotient,
189 WordType *Remainder);
190
191 /// out-of-line slow case for inline constructor
192 void initSlowCase(uint64_t val, bool isSigned);
193
194 /// shared code between two array constructors
195 void initFromArray(ArrayRef<uint64_t> array);
196
197 /// out-of-line slow case for inline copy constructor
198 void initSlowCase(const APInt &that);
199
200 /// out-of-line slow case for shl
201 void shlSlowCase(unsigned ShiftAmt);
202
203 /// out-of-line slow case for lshr.
204 void lshrSlowCase(unsigned ShiftAmt);
205
206 /// out-of-line slow case for ashr.
207 void ashrSlowCase(unsigned ShiftAmt);
208
209 /// out-of-line slow case for operator=
210 void AssignSlowCase(const APInt &RHS);
211
212 /// out-of-line slow case for operator==
213 bool EqualSlowCase(const APInt &RHS) const LLVM_READONLY__attribute__((__pure__));
214
215 /// out-of-line slow case for countLeadingZeros
216 unsigned countLeadingZerosSlowCase() const LLVM_READONLY__attribute__((__pure__));
217
218 /// out-of-line slow case for countLeadingOnes.
219 unsigned countLeadingOnesSlowCase() const LLVM_READONLY__attribute__((__pure__));
220
221 /// out-of-line slow case for countTrailingZeros.
222 unsigned countTrailingZerosSlowCase() const LLVM_READONLY__attribute__((__pure__));
223
224 /// out-of-line slow case for countTrailingOnes
225 unsigned countTrailingOnesSlowCase() const LLVM_READONLY__attribute__((__pure__));
226
227 /// out-of-line slow case for countPopulation
228 unsigned countPopulationSlowCase() const LLVM_READONLY__attribute__((__pure__));
229
230 /// out-of-line slow case for intersects.
231 bool intersectsSlowCase(const APInt &RHS) const LLVM_READONLY__attribute__((__pure__));
232
233 /// out-of-line slow case for isSubsetOf.
234 bool isSubsetOfSlowCase(const APInt &RHS) const LLVM_READONLY__attribute__((__pure__));
235
236 /// out-of-line slow case for setBits.
237 void setBitsSlowCase(unsigned loBit, unsigned hiBit);
238
239 /// out-of-line slow case for flipAllBits.
240 void flipAllBitsSlowCase();
241
242 /// out-of-line slow case for operator&=.
243 void AndAssignSlowCase(const APInt& RHS);
244
245 /// out-of-line slow case for operator|=.
246 void OrAssignSlowCase(const APInt& RHS);
247
248 /// out-of-line slow case for operator^=.
249 void XorAssignSlowCase(const APInt& RHS);
250
251 /// Unsigned comparison. Returns -1, 0, or 1 if this APInt is less than, equal
252 /// to, or greater than RHS.
253 int compare(const APInt &RHS) const LLVM_READONLY__attribute__((__pure__));
254
255 /// Signed comparison. Returns -1, 0, or 1 if this APInt is less than, equal
256 /// to, or greater than RHS.
257 int compareSigned(const APInt &RHS) const LLVM_READONLY__attribute__((__pure__));
258
259public:
260 /// \name Constructors
261 /// @{
262
263 /// Create a new APInt of numBits width, initialized as val.
264 ///
265 /// If isSigned is true then val is treated as if it were a signed value
266 /// (i.e. as an int64_t) and the appropriate sign extension to the bit width
267 /// will be done. Otherwise, no sign extension occurs (high order bits beyond
268 /// the range of val are zero filled).
269 ///
270 /// \param numBits the bit width of the constructed APInt
271 /// \param val the initial value of the APInt
272 /// \param isSigned how to treat signedness of val
273 APInt(unsigned numBits, uint64_t val, bool isSigned = false)
274 : BitWidth(numBits) {
275 assert(BitWidth && "bitwidth too small")((void)0);
276 if (isSingleWord()) {
277 U.VAL = val;
278 clearUnusedBits();
279 } else {
280 initSlowCase(val, isSigned);
281 }
282 }
283
284 /// Construct an APInt of numBits width, initialized as bigVal[].
285 ///
286 /// Note that bigVal.size() can be smaller or larger than the corresponding
287 /// bit width but any extraneous bits will be dropped.
288 ///
289 /// \param numBits the bit width of the constructed APInt
290 /// \param bigVal a sequence of words to form the initial value of the APInt
291 APInt(unsigned numBits, ArrayRef<uint64_t> bigVal);
292
293 /// Equivalent to APInt(numBits, ArrayRef<uint64_t>(bigVal, numWords)), but
294 /// deprecated because this constructor is prone to ambiguity with the
295 /// APInt(unsigned, uint64_t, bool) constructor.
296 ///
297 /// If this overload is ever deleted, care should be taken to prevent calls
298 /// from being incorrectly captured by the APInt(unsigned, uint64_t, bool)
299 /// constructor.
300 APInt(unsigned numBits, unsigned numWords, const uint64_t bigVal[]);
301
302 /// Construct an APInt from a string representation.
303 ///
304 /// This constructor interprets the string \p str in the given radix. The
305 /// interpretation stops when the first character that is not suitable for the
306 /// radix is encountered, or the end of the string. Acceptable radix values
307 /// are 2, 8, 10, 16, and 36. It is an error for the value implied by the
308 /// string to require more bits than numBits.
309 ///
310 /// \param numBits the bit width of the constructed APInt
311 /// \param str the string to be interpreted
312 /// \param radix the radix to use for the conversion
313 APInt(unsigned numBits, StringRef str, uint8_t radix);
314
315 /// Simply makes *this a copy of that.
316 /// Copy Constructor.
317 APInt(const APInt &that) : BitWidth(that.BitWidth) {
318 if (isSingleWord())
319 U.VAL = that.U.VAL;
320 else
321 initSlowCase(that);
322 }
323
324 /// Move Constructor.
325 APInt(APInt &&that) : BitWidth(that.BitWidth) {
326 memcpy(&U, &that.U, sizeof(U));
327 that.BitWidth = 0;
328 }
329
330 /// Destructor.
331 ~APInt() {
332 if (needsCleanup())
333 delete[] U.pVal;
334 }
335
336 /// Default constructor that creates an uninteresting APInt
337 /// representing a 1-bit zero value.
338 ///
339 /// This is useful for object deserialization (pair this with the static
340 /// method Read).
341 explicit APInt() : BitWidth(1) { U.VAL = 0; }
342
343 /// Returns whether this instance allocated memory.
344 bool needsCleanup() const { return !isSingleWord(); }
345
346 /// Used to insert APInt objects, or objects that contain APInt objects, into
347 /// FoldingSets.
348 void Profile(FoldingSetNodeID &id) const;
349
350 /// @}
351 /// \name Value Tests
352 /// @{
353
354 /// Determine if this APInt just has one word to store value.
355 ///
356 /// \returns true if the number of bits <= 64, false otherwise.
357 bool isSingleWord() const { return BitWidth <= APINT_BITS_PER_WORD; }
18
Assuming field 'BitWidth' is > APINT_BITS_PER_WORD
19
Returning zero, which participates in a condition later
358
359 /// Determine sign of this APInt.
360 ///
361 /// This tests the high bit of this APInt to determine if it is set.
362 ///
363 /// \returns true if this APInt is negative, false otherwise
364 bool isNegative() const { return (*this)[BitWidth - 1]; }
365
366 /// Determine if this APInt Value is non-negative (>= 0)
367 ///
368 /// This tests the high bit of the APInt to determine if it is unset.
369 bool isNonNegative() const { return !isNegative(); }
370
371 /// Determine if sign bit of this APInt is set.
372 ///
373 /// This tests the high bit of this APInt to determine if it is set.
374 ///
375 /// \returns true if this APInt has its sign bit set, false otherwise.
376 bool isSignBitSet() const { return (*this)[BitWidth-1]; }
377
378 /// Determine if sign bit of this APInt is clear.
379 ///
380 /// This tests the high bit of this APInt to determine if it is clear.
381 ///
382 /// \returns true if this APInt has its sign bit clear, false otherwise.
383 bool isSignBitClear() const { return !isSignBitSet(); }
384
385 /// Determine if this APInt Value is positive.
386 ///
387 /// This tests if the value of this APInt is positive (> 0). Note
388 /// that 0 is not a positive value.
389 ///
390 /// \returns true if this APInt is positive.
391 bool isStrictlyPositive() const { return isNonNegative() && !isNullValue(); }
392
393 /// Determine if this APInt Value is non-positive (<= 0).
394 ///
395 /// \returns true if this APInt is non-positive.
396 bool isNonPositive() const { return !isStrictlyPositive(); }
397
398 /// Determine if all bits are set
399 ///
400 /// This checks to see if the value has all bits of the APInt are set or not.
401 bool isAllOnesValue() const {
402 if (isSingleWord())
403 return U.VAL == WORDTYPE_MAX >> (APINT_BITS_PER_WORD - BitWidth);
404 return countTrailingOnesSlowCase() == BitWidth;
405 }
406
407 /// Determine if all bits are clear
408 ///
409 /// This checks to see if the value has all bits of the APInt are clear or
410 /// not.
411 bool isNullValue() const { return !*this; }
412
413 /// Determine if this is a value of 1.
414 ///
415 /// This checks to see if the value of this APInt is one.
416 bool isOneValue() const {
417 if (isSingleWord())
418 return U.VAL == 1;
419 return countLeadingZerosSlowCase() == BitWidth - 1;
420 }
421
422 /// Determine if this is the largest unsigned value.
423 ///
424 /// This checks to see if the value of this APInt is the maximum unsigned
425 /// value for the APInt's bit width.
426 bool isMaxValue() const { return isAllOnesValue(); }
427
428 /// Determine if this is the largest signed value.
429 ///
430 /// This checks to see if the value of this APInt is the maximum signed
431 /// value for the APInt's bit width.
432 bool isMaxSignedValue() const {
433 if (isSingleWord())
434 return U.VAL == ((WordType(1) << (BitWidth - 1)) - 1);
435 return !isNegative() && countTrailingOnesSlowCase() == BitWidth - 1;
436 }
437
438 /// Determine if this is the smallest unsigned value.
439 ///
440 /// This checks to see if the value of this APInt is the minimum unsigned
441 /// value for the APInt's bit width.
442 bool isMinValue() const { return isNullValue(); }
443
444 /// Determine if this is the smallest signed value.
445 ///
446 /// This checks to see if the value of this APInt is the minimum signed
447 /// value for the APInt's bit width.
448 bool isMinSignedValue() const {
449 if (isSingleWord())
450 return U.VAL == (WordType(1) << (BitWidth - 1));
451 return isNegative() && countTrailingZerosSlowCase() == BitWidth - 1;
452 }
453
454 /// Check if this APInt has an N-bits unsigned integer value.
455 bool isIntN(unsigned N) const {
456 assert(N && "N == 0 ???")((void)0);
457 return getActiveBits() <= N;
458 }
459
460 /// Check if this APInt has an N-bits signed integer value.
461 bool isSignedIntN(unsigned N) const {
462 assert(N && "N == 0 ???")((void)0);
463 return getMinSignedBits() <= N;
464 }
465
466 /// Check if this APInt's value is a power of two greater than zero.
467 ///
468 /// \returns true if the argument APInt value is a power of two > 0.
469 bool isPowerOf2() const {
470 if (isSingleWord())
471 return isPowerOf2_64(U.VAL);
472 return countPopulationSlowCase() == 1;
473 }
474
475 /// Check if the APInt's value is returned by getSignMask.
476 ///
477 /// \returns true if this is the value returned by getSignMask.
478 bool isSignMask() const { return isMinSignedValue(); }
479
480 /// Convert APInt to a boolean value.
481 ///
482 /// This converts the APInt to a boolean value as a test against zero.
483 bool getBoolValue() const { return !!*this; }
484
485 /// If this value is smaller than the specified limit, return it, otherwise
486 /// return the limit value. This causes the value to saturate to the limit.
487 uint64_t getLimitedValue(uint64_t Limit = UINT64_MAX0xffffffffffffffffULL) const {
488 return ugt(Limit) ? Limit : getZExtValue();
489 }
490
491 /// Check if the APInt consists of a repeated bit pattern.
492 ///
493 /// e.g. 0x01010101 satisfies isSplat(8).
494 /// \param SplatSizeInBits The size of the pattern in bits. Must divide bit
495 /// width without remainder.
496 bool isSplat(unsigned SplatSizeInBits) const;
497
498 /// \returns true if this APInt value is a sequence of \param numBits ones
499 /// starting at the least significant bit with the remainder zero.
500 bool isMask(unsigned numBits) const {
501 assert(numBits != 0 && "numBits must be non-zero")((void)0);
502 assert(numBits <= BitWidth && "numBits out of range")((void)0);
503 if (isSingleWord())
504 return U.VAL == (WORDTYPE_MAX >> (APINT_BITS_PER_WORD - numBits));
505 unsigned Ones = countTrailingOnesSlowCase();
506 return (numBits == Ones) &&
507 ((Ones + countLeadingZerosSlowCase()) == BitWidth);
508 }
509
510 /// \returns true if this APInt is a non-empty sequence of ones starting at
511 /// the least significant bit with the remainder zero.
512 /// Ex. isMask(0x0000FFFFU) == true.
513 bool isMask() const {
514 if (isSingleWord())
515 return isMask_64(U.VAL);
516 unsigned Ones = countTrailingOnesSlowCase();
517 return (Ones > 0) && ((Ones + countLeadingZerosSlowCase()) == BitWidth);
518 }
519
520 /// Return true if this APInt value contains a sequence of ones with
521 /// the remainder zero.
522 bool isShiftedMask() const {
523 if (isSingleWord())
524 return isShiftedMask_64(U.VAL);
525 unsigned Ones = countPopulationSlowCase();
526 unsigned LeadZ = countLeadingZerosSlowCase();
527 return (Ones + LeadZ + countTrailingZeros()) == BitWidth;
528 }
529
530 /// @}
531 /// \name Value Generators
532 /// @{
533
534 /// Gets maximum unsigned value of APInt for specific bit width.
535 static APInt getMaxValue(unsigned numBits) {
536 return getAllOnesValue(numBits);
537 }
538
539 /// Gets maximum signed value of APInt for a specific bit width.
540 static APInt getSignedMaxValue(unsigned numBits) {
541 APInt API = getAllOnesValue(numBits);
542 API.clearBit(numBits - 1);
543 return API;
544 }
545
546 /// Gets minimum unsigned value of APInt for a specific bit width.
547 static APInt getMinValue(unsigned numBits) { return APInt(numBits, 0); }
548
549 /// Gets minimum signed value of APInt for a specific bit width.
550 static APInt getSignedMinValue(unsigned numBits) {
551 APInt API(numBits, 0);
552 API.setBit(numBits - 1);
553 return API;
554 }
555
556 /// Get the SignMask for a specific bit width.
557 ///
558 /// This is just a wrapper function of getSignedMinValue(), and it helps code
559 /// readability when we want to get a SignMask.
560 static APInt getSignMask(unsigned BitWidth) {
561 return getSignedMinValue(BitWidth);
562 }
563
564 /// Get the all-ones value.
565 ///
566 /// \returns the all-ones value for an APInt of the specified bit-width.
567 static APInt getAllOnesValue(unsigned numBits) {
568 return APInt(numBits, WORDTYPE_MAX, true);
569 }
570
571 /// Get the '0' value.
572 ///
573 /// \returns the '0' value for an APInt of the specified bit-width.
574 static APInt getNullValue(unsigned numBits) { return APInt(numBits, 0); }
575
576 /// Compute an APInt containing numBits highbits from this APInt.
577 ///
578 /// Get an APInt with the same BitWidth as this APInt, just zero mask
579 /// the low bits and right shift to the least significant bit.
580 ///
581 /// \returns the high "numBits" bits of this APInt.
582 APInt getHiBits(unsigned numBits) const;
583
584 /// Compute an APInt containing numBits lowbits from this APInt.
585 ///
586 /// Get an APInt with the same BitWidth as this APInt, just zero mask
587 /// the high bits.
588 ///
589 /// \returns the low "numBits" bits of this APInt.
590 APInt getLoBits(unsigned numBits) const;
591
592 /// Return an APInt with exactly one bit set in the result.
593 static APInt getOneBitSet(unsigned numBits, unsigned BitNo) {
594 APInt Res(numBits, 0);
595 Res.setBit(BitNo);
596 return Res;
597 }
598
599 /// Get a value with a block of bits set.
600 ///
601 /// Constructs an APInt value that has a contiguous range of bits set. The
602 /// bits from loBit (inclusive) to hiBit (exclusive) will be set. All other
603 /// bits will be zero. For example, with parameters(32, 0, 16) you would get
604 /// 0x0000FFFF. Please call getBitsSetWithWrap if \p loBit may be greater than
605 /// \p hiBit.
606 ///
607 /// \param numBits the intended bit width of the result
608 /// \param loBit the index of the lowest bit set.
609 /// \param hiBit the index of the highest bit set.
610 ///
611 /// \returns An APInt value with the requested bits set.
612 static APInt getBitsSet(unsigned numBits, unsigned loBit, unsigned hiBit) {
613 assert(loBit <= hiBit && "loBit greater than hiBit")((void)0);
614 APInt Res(numBits, 0);
615 Res.setBits(loBit, hiBit);
616 return Res;
617 }
618
619 /// Wrap version of getBitsSet.
620 /// If \p hiBit is bigger than \p loBit, this is same with getBitsSet.
621 /// If \p hiBit is not bigger than \p loBit, the set bits "wrap". For example,
622 /// with parameters (32, 28, 4), you would get 0xF000000F.
623 /// If \p hiBit is equal to \p loBit, you would get a result with all bits
624 /// set.
625 static APInt getBitsSetWithWrap(unsigned numBits, unsigned loBit,
626 unsigned hiBit) {
627 APInt Res(numBits, 0);
628 Res.setBitsWithWrap(loBit, hiBit);
629 return Res;
630 }
631
632 /// Get a value with upper bits starting at loBit set.
633 ///
634 /// Constructs an APInt value that has a contiguous range of bits set. The
635 /// bits from loBit (inclusive) to numBits (exclusive) will be set. All other
636 /// bits will be zero. For example, with parameters(32, 12) you would get
637 /// 0xFFFFF000.
638 ///
639 /// \param numBits the intended bit width of the result
640 /// \param loBit the index of the lowest bit to set.
641 ///
642 /// \returns An APInt value with the requested bits set.
643 static APInt getBitsSetFrom(unsigned numBits, unsigned loBit) {
644 APInt Res(numBits, 0);
645 Res.setBitsFrom(loBit);
646 return Res;
647 }
648
649 /// Get a value with high bits set
650 ///
651 /// Constructs an APInt value that has the top hiBitsSet bits set.
652 ///
653 /// \param numBits the bitwidth of the result
654 /// \param hiBitsSet the number of high-order bits set in the result.
655 static APInt getHighBitsSet(unsigned numBits, unsigned hiBitsSet) {
656 APInt Res(numBits, 0);
657 Res.setHighBits(hiBitsSet);
658 return Res;
659 }
660
661 /// Get a value with low bits set
662 ///
663 /// Constructs an APInt value that has the bottom loBitsSet bits set.
664 ///
665 /// \param numBits the bitwidth of the result
666 /// \param loBitsSet the number of low-order bits set in the result.
667 static APInt getLowBitsSet(unsigned numBits, unsigned loBitsSet) {
668 APInt Res(numBits, 0);
669 Res.setLowBits(loBitsSet);
670 return Res;
671 }
672
673 /// Return a value containing V broadcasted over NewLen bits.
674 static APInt getSplat(unsigned NewLen, const APInt &V);
675
676 /// Determine if two APInts have the same value, after zero-extending
677 /// one of them (if needed!) to ensure that the bit-widths match.
678 static bool isSameValue(const APInt &I1, const APInt &I2) {
679 if (I1.getBitWidth() == I2.getBitWidth())
680 return I1 == I2;
681
682 if (I1.getBitWidth() > I2.getBitWidth())
683 return I1 == I2.zext(I1.getBitWidth());
684
685 return I1.zext(I2.getBitWidth()) == I2;
686 }
687
688 /// Overload to compute a hash_code for an APInt value.
689 friend hash_code hash_value(const APInt &Arg);
690
691 /// This function returns a pointer to the internal storage of the APInt.
692 /// This is useful for writing out the APInt in binary form without any
693 /// conversions.
694 const uint64_t *getRawData() const {
695 if (isSingleWord())
696 return &U.VAL;
697 return &U.pVal[0];
698 }
699
700 /// @}
701 /// \name Unary Operators
702 /// @{
703
704 /// Postfix increment operator.
705 ///
706 /// Increments *this by 1.
707 ///
708 /// \returns a new APInt value representing the original value of *this.
709 const APInt operator++(int) {
710 APInt API(*this);
711 ++(*this);
712 return API;
713 }
714
715 /// Prefix increment operator.
716 ///
717 /// \returns *this incremented by one
718 APInt &operator++();
719
720 /// Postfix decrement operator.
721 ///
722 /// Decrements *this by 1.
723 ///
724 /// \returns a new APInt value representing the original value of *this.
725 const APInt operator--(int) {
726 APInt API(*this);
727 --(*this);
728 return API;
729 }
730
731 /// Prefix decrement operator.
732 ///
733 /// \returns *this decremented by one.
734 APInt &operator--();
735
736 /// Logical negation operator.
737 ///
738 /// Performs logical negation operation on this APInt.
739 ///
740 /// \returns true if *this is zero, false otherwise.
741 bool operator!() const {
742 if (isSingleWord())
743 return U.VAL == 0;
744 return countLeadingZerosSlowCase() == BitWidth;
745 }
746
747 /// @}
748 /// \name Assignment Operators
749 /// @{
750
751 /// Copy assignment operator.
752 ///
753 /// \returns *this after assignment of RHS.
754 APInt &operator=(const APInt &RHS) {
755 // If the bitwidths are the same, we can avoid mucking with memory
756 if (isSingleWord() && RHS.isSingleWord()) {
757 U.VAL = RHS.U.VAL;
758 BitWidth = RHS.BitWidth;
759 return clearUnusedBits();
760 }
761
762 AssignSlowCase(RHS);
763 return *this;
764 }
765
766 /// Move assignment operator.
767 APInt &operator=(APInt &&that) {
768#ifdef EXPENSIVE_CHECKS
769 // Some std::shuffle implementations still do self-assignment.
770 if (this == &that)
771 return *this;
772#endif
773 assert(this != &that && "Self-move not supported")((void)0);
774 if (!isSingleWord())
775 delete[] U.pVal;
776
777 // Use memcpy so that type based alias analysis sees both VAL and pVal
778 // as modified.
779 memcpy(&U, &that.U, sizeof(U));
780
781 BitWidth = that.BitWidth;
782 that.BitWidth = 0;
783
784 return *this;
785 }
786
787 /// Assignment operator.
788 ///
789 /// The RHS value is assigned to *this. If the significant bits in RHS exceed
790 /// the bit width, the excess bits are truncated. If the bit width is larger
791 /// than 64, the value is zero filled in the unspecified high order bits.
792 ///
793 /// \returns *this after assignment of RHS value.
794 APInt &operator=(uint64_t RHS) {
795 if (isSingleWord()) {
796 U.VAL = RHS;
797 return clearUnusedBits();
798 }
799 U.pVal[0] = RHS;
800 memset(U.pVal + 1, 0, (getNumWords() - 1) * APINT_WORD_SIZE);
801 return *this;
802 }
803
804 /// Bitwise AND assignment operator.
805 ///
806 /// Performs a bitwise AND operation on this APInt and RHS. The result is
807 /// assigned to *this.
808 ///
809 /// \returns *this after ANDing with RHS.
810 APInt &operator&=(const APInt &RHS) {
811 assert(BitWidth == RHS.BitWidth && "Bit widths must be the same")((void)0);
812 if (isSingleWord())
813 U.VAL &= RHS.U.VAL;
814 else
815 AndAssignSlowCase(RHS);
816 return *this;
817 }
818
819 /// Bitwise AND assignment operator.
820 ///
821 /// Performs a bitwise AND operation on this APInt and RHS. RHS is
822 /// logically zero-extended or truncated to match the bit-width of
823 /// the LHS.
824 APInt &operator&=(uint64_t RHS) {
825 if (isSingleWord()) {
826 U.VAL &= RHS;
827 return *this;
828 }
829 U.pVal[0] &= RHS;
830 memset(U.pVal+1, 0, (getNumWords() - 1) * APINT_WORD_SIZE);
831 return *this;
832 }
833
834 /// Bitwise OR assignment operator.
835 ///
836 /// Performs a bitwise OR operation on this APInt and RHS. The result is
837 /// assigned *this;
838 ///
839 /// \returns *this after ORing with RHS.
840 APInt &operator|=(const APInt &RHS) {
841 assert(BitWidth == RHS.BitWidth && "Bit widths must be the same")((void)0);
842 if (isSingleWord())
843 U.VAL |= RHS.U.VAL;
844 else
845 OrAssignSlowCase(RHS);
846 return *this;
847 }
848
849 /// Bitwise OR assignment operator.
850 ///
851 /// Performs a bitwise OR operation on this APInt and RHS. RHS is
852 /// logically zero-extended or truncated to match the bit-width of
853 /// the LHS.
854 APInt &operator|=(uint64_t RHS) {
855 if (isSingleWord()) {
856 U.VAL |= RHS;
857 return clearUnusedBits();
858 }
859 U.pVal[0] |= RHS;
860 return *this;
861 }
862
863 /// Bitwise XOR assignment operator.
864 ///
865 /// Performs a bitwise XOR operation on this APInt and RHS. The result is
866 /// assigned to *this.
867 ///
868 /// \returns *this after XORing with RHS.
869 APInt &operator^=(const APInt &RHS) {
870 assert(BitWidth == RHS.BitWidth && "Bit widths must be the same")((void)0);
871 if (isSingleWord())
872 U.VAL ^= RHS.U.VAL;
873 else
874 XorAssignSlowCase(RHS);
875 return *this;
876 }
877
878 /// Bitwise XOR assignment operator.
879 ///
880 /// Performs a bitwise XOR operation on this APInt and RHS. RHS is
881 /// logically zero-extended or truncated to match the bit-width of
882 /// the LHS.
883 APInt &operator^=(uint64_t RHS) {
884 if (isSingleWord()) {
885 U.VAL ^= RHS;
886 return clearUnusedBits();
887 }
888 U.pVal[0] ^= RHS;
889 return *this;
890 }
891
892 /// Multiplication assignment operator.
893 ///
894 /// Multiplies this APInt by RHS and assigns the result to *this.
895 ///
896 /// \returns *this
897 APInt &operator*=(const APInt &RHS);
898 APInt &operator*=(uint64_t RHS);
899
900 /// Addition assignment operator.
901 ///
902 /// Adds RHS to *this and assigns the result to *this.
903 ///
904 /// \returns *this
905 APInt &operator+=(const APInt &RHS);
906 APInt &operator+=(uint64_t RHS);
907
908 /// Subtraction assignment operator.
909 ///
910 /// Subtracts RHS from *this and assigns the result to *this.
911 ///
912 /// \returns *this
913 APInt &operator-=(const APInt &RHS);
914 APInt &operator-=(uint64_t RHS);
915
916 /// Left-shift assignment function.
917 ///
918 /// Shifts *this left by shiftAmt and assigns the result to *this.
919 ///
920 /// \returns *this after shifting left by ShiftAmt
921 APInt &operator<<=(unsigned ShiftAmt) {
922 assert(ShiftAmt <= BitWidth && "Invalid shift amount")((void)0);
923 if (isSingleWord()) {
924 if (ShiftAmt == BitWidth)
925 U.VAL = 0;
926 else
927 U.VAL <<= ShiftAmt;
928 return clearUnusedBits();
929 }
930 shlSlowCase(ShiftAmt);
931 return *this;
932 }
933
934 /// Left-shift assignment function.
935 ///
936 /// Shifts *this left by shiftAmt and assigns the result to *this.
937 ///
938 /// \returns *this after shifting left by ShiftAmt
939 APInt &operator<<=(const APInt &ShiftAmt);
940
941 /// @}
942 /// \name Binary Operators
943 /// @{
944
945 /// Multiplication operator.
946 ///
947 /// Multiplies this APInt by RHS and returns the result.
948 APInt operator*(const APInt &RHS) const;
949
950 /// Left logical shift operator.
951 ///
952 /// Shifts this APInt left by \p Bits and returns the result.
953 APInt operator<<(unsigned Bits) const { return shl(Bits); }
954
955 /// Left logical shift operator.
956 ///
957 /// Shifts this APInt left by \p Bits and returns the result.
958 APInt operator<<(const APInt &Bits) const { return shl(Bits); }
959
960 /// Arithmetic right-shift function.
961 ///
962 /// Arithmetic right-shift this APInt by shiftAmt.
963 APInt ashr(unsigned ShiftAmt) const {
964 APInt R(*this);
965 R.ashrInPlace(ShiftAmt);
966 return R;
967 }
968
969 /// Arithmetic right-shift this APInt by ShiftAmt in place.
970 void ashrInPlace(unsigned ShiftAmt) {
971 assert(ShiftAmt <= BitWidth && "Invalid shift amount")((void)0);
972 if (isSingleWord()) {
973 int64_t SExtVAL = SignExtend64(U.VAL, BitWidth);
974 if (ShiftAmt == BitWidth)
975 U.VAL = SExtVAL >> (APINT_BITS_PER_WORD - 1); // Fill with sign bit.
976 else
977 U.VAL = SExtVAL >> ShiftAmt;
978 clearUnusedBits();
979 return;
980 }
981 ashrSlowCase(ShiftAmt);
982 }
983
984 /// Logical right-shift function.
985 ///
986 /// Logical right-shift this APInt by shiftAmt.
987 APInt lshr(unsigned shiftAmt) const {
988 APInt R(*this);
989 R.lshrInPlace(shiftAmt);
990 return R;
991 }
992
993 /// Logical right-shift this APInt by ShiftAmt in place.
994 void lshrInPlace(unsigned ShiftAmt) {
995 assert(ShiftAmt <= BitWidth && "Invalid shift amount")((void)0);
996 if (isSingleWord()) {
997 if (ShiftAmt == BitWidth)
998 U.VAL = 0;
999 else
1000 U.VAL >>= ShiftAmt;
1001 return;
1002 }
1003 lshrSlowCase(ShiftAmt);
1004 }
1005
1006 /// Left-shift function.
1007 ///
1008 /// Left-shift this APInt by shiftAmt.
1009 APInt shl(unsigned shiftAmt) const {
1010 APInt R(*this);
1011 R <<= shiftAmt;
1012 return R;
1013 }
1014
1015 /// Rotate left by rotateAmt.
1016 APInt rotl(unsigned rotateAmt) const;
1017
1018 /// Rotate right by rotateAmt.
1019 APInt rotr(unsigned rotateAmt) const;
1020
1021 /// Arithmetic right-shift function.
1022 ///
1023 /// Arithmetic right-shift this APInt by shiftAmt.
1024 APInt ashr(const APInt &ShiftAmt) const {
1025 APInt R(*this);
1026 R.ashrInPlace(ShiftAmt);
1027 return R;
1028 }
1029
1030 /// Arithmetic right-shift this APInt by shiftAmt in place.
1031 void ashrInPlace(const APInt &shiftAmt);
1032
1033 /// Logical right-shift function.
1034 ///
1035 /// Logical right-shift this APInt by shiftAmt.
1036 APInt lshr(const APInt &ShiftAmt) const {
1037 APInt R(*this);
1038 R.lshrInPlace(ShiftAmt);
1039 return R;
1040 }
1041
1042 /// Logical right-shift this APInt by ShiftAmt in place.
1043 void lshrInPlace(const APInt &ShiftAmt);
1044
1045 /// Left-shift function.
1046 ///
1047 /// Left-shift this APInt by shiftAmt.
1048 APInt shl(const APInt &ShiftAmt) const {
1049 APInt R(*this);
1050 R <<= ShiftAmt;
1051 return R;
1052 }
1053
1054 /// Rotate left by rotateAmt.
1055 APInt rotl(const APInt &rotateAmt) const;
1056
1057 /// Rotate right by rotateAmt.
1058 APInt rotr(const APInt &rotateAmt) const;
1059
1060 /// Unsigned division operation.
1061 ///
1062 /// Perform an unsigned divide operation on this APInt by RHS. Both this and
1063 /// RHS are treated as unsigned quantities for purposes of this division.
1064 ///
1065 /// \returns a new APInt value containing the division result, rounded towards
1066 /// zero.
1067 APInt udiv(const APInt &RHS) const;
1068 APInt udiv(uint64_t RHS) const;
1069
1070 /// Signed division function for APInt.
1071 ///
1072 /// Signed divide this APInt by APInt RHS.
1073 ///
1074 /// The result is rounded towards zero.
1075 APInt sdiv(const APInt &RHS) const;
1076 APInt sdiv(int64_t RHS) const;
1077
1078 /// Unsigned remainder operation.
1079 ///
1080 /// Perform an unsigned remainder operation on this APInt with RHS being the
1081 /// divisor. Both this and RHS are treated as unsigned quantities for purposes
1082 /// of this operation. Note that this is a true remainder operation and not a
1083 /// modulo operation because the sign follows the sign of the dividend which
1084 /// is *this.
1085 ///
1086 /// \returns a new APInt value containing the remainder result
1087 APInt urem(const APInt &RHS) const;
1088 uint64_t urem(uint64_t RHS) const;
1089
1090 /// Function for signed remainder operation.
1091 ///
1092 /// Signed remainder operation on APInt.
1093 APInt srem(const APInt &RHS) const;
1094 int64_t srem(int64_t RHS) const;
1095
1096 /// Dual division/remainder interface.
1097 ///
1098 /// Sometimes it is convenient to divide two APInt values and obtain both the
1099 /// quotient and remainder. This function does both operations in the same
1100 /// computation making it a little more efficient. The pair of input arguments
1101 /// may overlap with the pair of output arguments. It is safe to call
1102 /// udivrem(X, Y, X, Y), for example.
1103 static void udivrem(const APInt &LHS, const APInt &RHS, APInt &Quotient,
1104 APInt &Remainder);
1105 static void udivrem(const APInt &LHS, uint64_t RHS, APInt &Quotient,
1106 uint64_t &Remainder);
1107
1108 static void sdivrem(const APInt &LHS, const APInt &RHS, APInt &Quotient,
1109 APInt &Remainder);
1110 static void sdivrem(const APInt &LHS, int64_t RHS, APInt &Quotient,
1111 int64_t &Remainder);
1112
1113 // Operations that return overflow indicators.
1114 APInt sadd_ov(const APInt &RHS, bool &Overflow) const;
1115 APInt uadd_ov(const APInt &RHS, bool &Overflow) const;
1116 APInt ssub_ov(const APInt &RHS, bool &Overflow) const;
1117 APInt usub_ov(const APInt &RHS, bool &Overflow) const;
1118 APInt sdiv_ov(const APInt &RHS, bool &Overflow) const;
1119 APInt smul_ov(const APInt &RHS, bool &Overflow) const;
1120 APInt umul_ov(const APInt &RHS, bool &Overflow) const;
1121 APInt sshl_ov(const APInt &Amt, bool &Overflow) const;
1122 APInt ushl_ov(const APInt &Amt, bool &Overflow) const;
1123
1124 // Operations that saturate
1125 APInt sadd_sat(const APInt &RHS) const;
1126 APInt uadd_sat(const APInt &RHS) const;
1127 APInt ssub_sat(const APInt &RHS) const;
1128 APInt usub_sat(const APInt &RHS) const;
1129 APInt smul_sat(const APInt &RHS) const;
1130 APInt umul_sat(const APInt &RHS) const;
1131 APInt sshl_sat(const APInt &RHS) const;
1132 APInt ushl_sat(const APInt &RHS) const;
1133
1134 /// Array-indexing support.
1135 ///
1136 /// \returns the bit value at bitPosition
1137 bool operator[](unsigned bitPosition) const {
1138 assert(bitPosition < getBitWidth() && "Bit position out of bounds!")((void)0);
1139 return (maskBit(bitPosition) & getWord(bitPosition)) != 0;
1140 }
1141
1142 /// @}
1143 /// \name Comparison Operators
1144 /// @{
1145
1146 /// Equality operator.
1147 ///
1148 /// Compares this APInt with RHS for the validity of the equality
1149 /// relationship.
1150 bool operator==(const APInt &RHS) const {
1151 assert(BitWidth == RHS.BitWidth && "Comparison requires equal bit widths")((void)0);
1152 if (isSingleWord())
17
Calling 'APInt::isSingleWord'
20
Returning from 'APInt::isSingleWord'
21
Taking false branch
1153 return U.VAL == RHS.U.VAL;
1154 return EqualSlowCase(RHS);
22
Returning value, which participates in a condition later
1155 }
1156
1157 /// Equality operator.
1158 ///
1159 /// Compares this APInt with a uint64_t for the validity of the equality
1160 /// relationship.
1161 ///
1162 /// \returns true if *this == Val
1163 bool operator==(uint64_t Val) const {
1164 return (isSingleWord() || getActiveBits() <= 64) && getZExtValue() == Val;
1165 }
1166
1167 /// Equality comparison.
1168 ///
1169 /// Compares this APInt with RHS for the validity of the equality
1170 /// relationship.
1171 ///
1172 /// \returns true if *this == Val
1173 bool eq(const APInt &RHS) const { return (*this) == RHS; }
1174
1175 /// Inequality operator.
1176 ///
1177 /// Compares this APInt with RHS for the validity of the inequality
1178 /// relationship.
1179 ///
1180 /// \returns true if *this != Val
1181 bool operator!=(const APInt &RHS) const { return !((*this) == RHS); }
1182
1183 /// Inequality operator.
1184 ///
1185 /// Compares this APInt with a uint64_t for the validity of the inequality
1186 /// relationship.
1187 ///
1188 /// \returns true if *this != Val
1189 bool operator!=(uint64_t Val) const { return !((*this) == Val); }
1190
1191 /// Inequality comparison
1192 ///
1193 /// Compares this APInt with RHS for the validity of the inequality
1194 /// relationship.
1195 ///
1196 /// \returns true if *this != Val
1197 bool ne(const APInt &RHS) const { return !((*this) == RHS); }
1198
1199 /// Unsigned less than comparison
1200 ///
1201 /// Regards both *this and RHS as unsigned quantities and compares them for
1202 /// the validity of the less-than relationship.
1203 ///
1204 /// \returns true if *this < RHS when both are considered unsigned.
1205 bool ult(const APInt &RHS) const { return compare(RHS) < 0; }
1206
1207 /// Unsigned less than comparison
1208 ///
1209 /// Regards both *this as an unsigned quantity and compares it with RHS for
1210 /// the validity of the less-than relationship.
1211 ///
1212 /// \returns true if *this < RHS when considered unsigned.
1213 bool ult(uint64_t RHS) const {
1214 // Only need to check active bits if not a single word.
1215 return (isSingleWord() || getActiveBits() <= 64) && getZExtValue() < RHS;
1216 }
1217
1218 /// Signed less than comparison
1219 ///
1220 /// Regards both *this and RHS as signed quantities and compares them for
1221 /// validity of the less-than relationship.
1222 ///
1223 /// \returns true if *this < RHS when both are considered signed.
1224 bool slt(const APInt &RHS) const { return compareSigned(RHS) < 0; }
1225
1226 /// Signed less than comparison
1227 ///
1228 /// Regards both *this as a signed quantity and compares it with RHS for
1229 /// the validity of the less-than relationship.
1230 ///
1231 /// \returns true if *this < RHS when considered signed.
1232 bool slt(int64_t RHS) const {
1233 return (!isSingleWord() && getMinSignedBits() > 64) ? isNegative()
1234 : getSExtValue() < RHS;
1235 }
1236
1237 /// Unsigned less or equal comparison
1238 ///
1239 /// Regards both *this and RHS as unsigned quantities and compares them for
1240 /// validity of the less-or-equal relationship.
1241 ///
1242 /// \returns true if *this <= RHS when both are considered unsigned.
1243 bool ule(const APInt &RHS) const { return compare(RHS) <= 0; }
1244
1245 /// Unsigned less or equal comparison
1246 ///
1247 /// Regards both *this as an unsigned quantity and compares it with RHS for
1248 /// the validity of the less-or-equal relationship.
1249 ///
1250 /// \returns true if *this <= RHS when considered unsigned.
1251 bool ule(uint64_t RHS) const { return !ugt(RHS); }
1252
1253 /// Signed less or equal comparison
1254 ///
1255 /// Regards both *this and RHS as signed quantities and compares them for
1256 /// validity of the less-or-equal relationship.
1257 ///
1258 /// \returns true if *this <= RHS when both are considered signed.
1259 bool sle(const APInt &RHS) const { return compareSigned(RHS) <= 0; }
1260
1261 /// Signed less or equal comparison
1262 ///
1263 /// Regards both *this as a signed quantity and compares it with RHS for the
1264 /// validity of the less-or-equal relationship.
1265 ///
1266 /// \returns true if *this <= RHS when considered signed.
1267 bool sle(uint64_t RHS) const { return !sgt(RHS); }
1268
1269 /// Unsigned greater than comparison
1270 ///
1271 /// Regards both *this and RHS as unsigned quantities and compares them for
1272 /// the validity of the greater-than relationship.
1273 ///
1274 /// \returns true if *this > RHS when both are considered unsigned.
1275 bool ugt(const APInt &RHS) const { return !ule(RHS); }
1276
1277 /// Unsigned greater than comparison
1278 ///
1279 /// Regards both *this as an unsigned quantity and compares it with RHS for
1280 /// the validity of the greater-than relationship.
1281 ///
1282 /// \returns true if *this > RHS when considered unsigned.
1283 bool ugt(uint64_t RHS) const {
1284 // Only need to check active bits if not a single word.
1285 return (!isSingleWord() && getActiveBits() > 64) || getZExtValue() > RHS;
1286 }
1287
1288 /// Signed greater than comparison
1289 ///
1290 /// Regards both *this and RHS as signed quantities and compares them for the
1291 /// validity of the greater-than relationship.
1292 ///
1293 /// \returns true if *this > RHS when both are considered signed.
1294 bool sgt(const APInt &RHS) const { return !sle(RHS); }
1295
1296 /// Signed greater than comparison
1297 ///
1298 /// Regards both *this as a signed quantity and compares it with RHS for
1299 /// the validity of the greater-than relationship.
1300 ///
1301 /// \returns true if *this > RHS when considered signed.
1302 bool sgt(int64_t RHS) const {
1303 return (!isSingleWord() && getMinSignedBits() > 64) ? !isNegative()
1304 : getSExtValue() > RHS;
1305 }
1306
1307 /// Unsigned greater or equal comparison
1308 ///
1309 /// Regards both *this and RHS as unsigned quantities and compares them for
1310 /// validity of the greater-or-equal relationship.
1311 ///
1312 /// \returns true if *this >= RHS when both are considered unsigned.
1313 bool uge(const APInt &RHS) const { return !ult(RHS); }
1314
1315 /// Unsigned greater or equal comparison
1316 ///
1317 /// Regards both *this as an unsigned quantity and compares it with RHS for
1318 /// the validity of the greater-or-equal relationship.
1319 ///
1320 /// \returns true if *this >= RHS when considered unsigned.
1321 bool uge(uint64_t RHS) const { return !ult(RHS); }
1322
1323 /// Signed greater or equal comparison
1324 ///
1325 /// Regards both *this and RHS as signed quantities and compares them for
1326 /// validity of the greater-or-equal relationship.
1327 ///
1328 /// \returns true if *this >= RHS when both are considered signed.
1329 bool sge(const APInt &RHS) const { return !slt(RHS); }
1330
1331 /// Signed greater or equal comparison
1332 ///
1333 /// Regards both *this as a signed quantity and compares it with RHS for
1334 /// the validity of the greater-or-equal relationship.
1335 ///
1336 /// \returns true if *this >= RHS when considered signed.
1337 bool sge(int64_t RHS) const { return !slt(RHS); }
1338
1339 /// This operation tests if there are any pairs of corresponding bits
1340 /// between this APInt and RHS that are both set.
1341 bool intersects(const APInt &RHS) const {
1342 assert(BitWidth == RHS.BitWidth && "Bit widths must be the same")((void)0);
1343 if (isSingleWord())
1344 return (U.VAL & RHS.U.VAL) != 0;
1345 return intersectsSlowCase(RHS);
1346 }
1347
1348 /// This operation checks that all bits set in this APInt are also set in RHS.
1349 bool isSubsetOf(const APInt &RHS) const {
1350 assert(BitWidth == RHS.BitWidth && "Bit widths must be the same")((void)0);
1351 if (isSingleWord())
1352 return (U.VAL & ~RHS.U.VAL) == 0;
1353 return isSubsetOfSlowCase(RHS);
1354 }
1355
1356 /// @}
1357 /// \name Resizing Operators
1358 /// @{
1359
1360 /// Truncate to new width.
1361 ///
1362 /// Truncate the APInt to a specified width. It is an error to specify a width
1363 /// that is greater than or equal to the current width.
1364 APInt trunc(unsigned width) const;
1365
1366 /// Truncate to new width with unsigned saturation.
1367 ///
1368 /// If the APInt, treated as unsigned integer, can be losslessly truncated to
1369 /// the new bitwidth, then return truncated APInt. Else, return max value.
1370 APInt truncUSat(unsigned width) const;
1371
1372 /// Truncate to new width with signed saturation.
1373 ///
1374 /// If this APInt, treated as signed integer, can be losslessly truncated to
1375 /// the new bitwidth, then return truncated APInt. Else, return either
1376 /// signed min value if the APInt was negative, or signed max value.
1377 APInt truncSSat(unsigned width) const;
1378
1379 /// Sign extend to a new width.
1380 ///
1381 /// This operation sign extends the APInt to a new width. If the high order
1382 /// bit is set, the fill on the left will be done with 1 bits, otherwise zero.
1383 /// It is an error to specify a width that is less than or equal to the
1384 /// current width.
1385 APInt sext(unsigned width) const;
1386
1387 /// Zero extend to a new width.
1388 ///
1389 /// This operation zero extends the APInt to a new width. The high order bits
1390 /// are filled with 0 bits. It is an error to specify a width that is less
1391 /// than or equal to the current width.
1392 APInt zext(unsigned width) const;
1393
1394 /// Sign extend or truncate to width
1395 ///
1396 /// Make this APInt have the bit width given by \p width. The value is sign
1397 /// extended, truncated, or left alone to make it that width.
1398 APInt sextOrTrunc(unsigned width) const;
1399
1400 /// Zero extend or truncate to width
1401 ///
1402 /// Make this APInt have the bit width given by \p width. The value is zero
1403 /// extended, truncated, or left alone to make it that width.
1404 APInt zextOrTrunc(unsigned width) const;
1405
1406 /// Truncate to width
1407 ///
1408 /// Make this APInt have the bit width given by \p width. The value is
1409 /// truncated or left alone to make it that width.
1410 APInt truncOrSelf(unsigned width) const;
1411
1412 /// Sign extend or truncate to width
1413 ///
1414 /// Make this APInt have the bit width given by \p width. The value is sign
1415 /// extended, or left alone to make it that width.
1416 APInt sextOrSelf(unsigned width) const;
1417
1418 /// Zero extend or truncate to width
1419 ///
1420 /// Make this APInt have the bit width given by \p width. The value is zero
1421 /// extended, or left alone to make it that width.
1422 APInt zextOrSelf(unsigned width) const;
1423
1424 /// @}
1425 /// \name Bit Manipulation Operators
1426 /// @{
1427
1428 /// Set every bit to 1.
1429 void setAllBits() {
1430 if (isSingleWord())
1431 U.VAL = WORDTYPE_MAX;
1432 else
1433 // Set all the bits in all the words.
1434 memset(U.pVal, -1, getNumWords() * APINT_WORD_SIZE);
1435 // Clear the unused ones
1436 clearUnusedBits();
1437 }
1438
1439 /// Set a given bit to 1.
1440 ///
1441 /// Set the given bit to 1 whose position is given as "bitPosition".
1442 void setBit(unsigned BitPosition) {
1443 assert(BitPosition < BitWidth && "BitPosition out of range")((void)0);
1444 WordType Mask = maskBit(BitPosition);
1445 if (isSingleWord())
1446 U.VAL |= Mask;
1447 else
1448 U.pVal[whichWord(BitPosition)] |= Mask;
1449 }
1450
1451 /// Set the sign bit to 1.
1452 void setSignBit() {
1453 setBit(BitWidth - 1);
1454 }
1455
1456 /// Set a given bit to a given value.
1457 void setBitVal(unsigned BitPosition, bool BitValue) {
1458 if (BitValue)
1459 setBit(BitPosition);
1460 else
1461 clearBit(BitPosition);
1462 }
1463
1464 /// Set the bits from loBit (inclusive) to hiBit (exclusive) to 1.
1465 /// This function handles "wrap" case when \p loBit >= \p hiBit, and calls
1466 /// setBits when \p loBit < \p hiBit.
1467 /// For \p loBit == \p hiBit wrap case, set every bit to 1.
1468 void setBitsWithWrap(unsigned loBit, unsigned hiBit) {
1469 assert(hiBit <= BitWidth && "hiBit out of range")((void)0);
1470 assert(loBit <= BitWidth && "loBit out of range")((void)0);
1471 if (loBit < hiBit) {
1472 setBits(loBit, hiBit);
1473 return;
1474 }
1475 setLowBits(hiBit);
1476 setHighBits(BitWidth - loBit);
1477 }
1478
1479 /// Set the bits from loBit (inclusive) to hiBit (exclusive) to 1.
1480 /// This function handles case when \p loBit <= \p hiBit.
1481 void setBits(unsigned loBit, unsigned hiBit) {
1482 assert(hiBit <= BitWidth && "hiBit out of range")((void)0);
1483 assert(loBit <= BitWidth && "loBit out of range")((void)0);
1484 assert(loBit <= hiBit && "loBit greater than hiBit")((void)0);
1485 if (loBit == hiBit)
1486 return;
1487 if (loBit < APINT_BITS_PER_WORD && hiBit <= APINT_BITS_PER_WORD) {
1488 uint64_t mask = WORDTYPE_MAX >> (APINT_BITS_PER_WORD - (hiBit - loBit));
1489 mask <<= loBit;
1490 if (isSingleWord())
1491 U.VAL |= mask;
1492 else
1493 U.pVal[0] |= mask;
1494 } else {
1495 setBitsSlowCase(loBit, hiBit);
1496 }
1497 }
1498
1499 /// Set the top bits starting from loBit.
1500 void setBitsFrom(unsigned loBit) {
1501 return setBits(loBit, BitWidth);
1502 }
1503
1504 /// Set the bottom loBits bits.
1505 void setLowBits(unsigned loBits) {
1506 return setBits(0, loBits);
1507 }
1508
1509 /// Set the top hiBits bits.
1510 void setHighBits(unsigned hiBits) {
1511 return setBits(BitWidth - hiBits, BitWidth);
1512 }
1513
1514 /// Set every bit to 0.
1515 void clearAllBits() {
1516 if (isSingleWord())
1517 U.VAL = 0;
1518 else
1519 memset(U.pVal, 0, getNumWords() * APINT_WORD_SIZE);
1520 }
1521
1522 /// Set a given bit to 0.
1523 ///
1524 /// Set the given bit to 0 whose position is given as "bitPosition".
1525 void clearBit(unsigned BitPosition) {
1526 assert(BitPosition < BitWidth && "BitPosition out of range")((void)0);
1527 WordType Mask = ~maskBit(BitPosition);
1528 if (isSingleWord())
1529 U.VAL &= Mask;
1530 else
1531 U.pVal[whichWord(BitPosition)] &= Mask;
1532 }
1533
1534 /// Set bottom loBits bits to 0.
1535 void clearLowBits(unsigned loBits) {
1536 assert(loBits <= BitWidth && "More bits than bitwidth")((void)0);
1537 APInt Keep = getHighBitsSet(BitWidth, BitWidth - loBits);
1538 *this &= Keep;
1539 }
1540
1541 /// Set the sign bit to 0.
1542 void clearSignBit() {
1543 clearBit(BitWidth - 1);
1544 }
1545
1546 /// Toggle every bit to its opposite value.
1547 void flipAllBits() {
1548 if (isSingleWord()) {
1549 U.VAL ^= WORDTYPE_MAX;
1550 clearUnusedBits();
1551 } else {
1552 flipAllBitsSlowCase();
1553 }
1554 }
1555
1556 /// Toggles a given bit to its opposite value.
1557 ///
1558 /// Toggle a given bit to its opposite value whose position is given
1559 /// as "bitPosition".
1560 void flipBit(unsigned bitPosition);
1561
1562 /// Negate this APInt in place.
1563 void negate() {
1564 flipAllBits();
1565 ++(*this);
1566 }
1567
1568 /// Insert the bits from a smaller APInt starting at bitPosition.
1569 void insertBits(const APInt &SubBits, unsigned bitPosition);
1570 void insertBits(uint64_t SubBits, unsigned bitPosition, unsigned numBits);
1571
1572 /// Return an APInt with the extracted bits [bitPosition,bitPosition+numBits).
1573 APInt extractBits(unsigned numBits, unsigned bitPosition) const;
1574 uint64_t extractBitsAsZExtValue(unsigned numBits, unsigned bitPosition) const;
1575
1576 /// @}
1577 /// \name Value Characterization Functions
1578 /// @{
1579
1580 /// Return the number of bits in the APInt.
1581 unsigned getBitWidth() const { return BitWidth; }
1582
1583 /// Get the number of words.
1584 ///
1585 /// Here one word's bitwidth equals to that of uint64_t.
1586 ///
1587 /// \returns the number of words to hold the integer value of this APInt.
1588 unsigned getNumWords() const { return getNumWords(BitWidth); }
1589
1590 /// Get the number of words.
1591 ///
1592 /// *NOTE* Here one word's bitwidth equals to that of uint64_t.
1593 ///
1594 /// \returns the number of words to hold the integer value with a given bit
1595 /// width.
1596 static unsigned getNumWords(unsigned BitWidth) {
1597 return ((uint64_t)BitWidth + APINT_BITS_PER_WORD - 1) / APINT_BITS_PER_WORD;
1598 }
1599
1600 /// Compute the number of active bits in the value
1601 ///
1602 /// This function returns the number of active bits which is defined as the
1603 /// bit width minus the number of leading zeros. This is used in several
1604 /// computations to see how "wide" the value is.
1605 unsigned getActiveBits() const { return BitWidth - countLeadingZeros(); }
1606
1607 /// Compute the number of active words in the value of this APInt.
1608 ///
1609 /// This is used in conjunction with getActiveData to extract the raw value of
1610 /// the APInt.
1611 unsigned getActiveWords() const {
1612 unsigned numActiveBits = getActiveBits();
1613 return numActiveBits ? whichWord(numActiveBits - 1) + 1 : 1;
1614 }
1615
1616 /// Get the minimum bit size for this signed APInt
1617 ///
1618 /// Computes the minimum bit width for this APInt while considering it to be a
1619 /// signed (and probably negative) value. If the value is not negative, this
1620 /// function returns the same value as getActiveBits()+1. Otherwise, it
1621 /// returns the smallest bit width that will retain the negative value. For
1622 /// example, -1 can be written as 0b1 or 0xFFFFFFFFFF. 0b1 is shorter and so
1623 /// for -1, this function will always return 1.
1624 unsigned getMinSignedBits() const { return BitWidth - getNumSignBits() + 1; }
1625
1626 /// Get zero extended value
1627 ///
1628 /// This method attempts to return the value of this APInt as a zero extended
1629 /// uint64_t. The bitwidth must be <= 64 or the value must fit within a
1630 /// uint64_t. Otherwise an assertion will result.
1631 uint64_t getZExtValue() const {
1632 if (isSingleWord())
1633 return U.VAL;
1634 assert(getActiveBits() <= 64 && "Too many bits for uint64_t")((void)0);
1635 return U.pVal[0];
1636 }
1637
1638 /// Get sign extended value
1639 ///
1640 /// This method attempts to return the value of this APInt as a sign extended
1641 /// int64_t. The bit width must be <= 64 or the value must fit within an
1642 /// int64_t. Otherwise an assertion will result.
1643 int64_t getSExtValue() const {
1644 if (isSingleWord())
1645 return SignExtend64(U.VAL, BitWidth);
1646 assert(getMinSignedBits() <= 64 && "Too many bits for int64_t")((void)0);
1647 return int64_t(U.pVal[0]);
1648 }
1649
1650 /// Get bits required for string value.
1651 ///
1652 /// This method determines how many bits are required to hold the APInt
1653 /// equivalent of the string given by \p str.
1654 static unsigned getBitsNeeded(StringRef str, uint8_t radix);
1655
1656 /// The APInt version of the countLeadingZeros functions in
1657 /// MathExtras.h.
1658 ///
1659 /// It counts the number of zeros from the most significant bit to the first
1660 /// one bit.
1661 ///
1662 /// \returns BitWidth if the value is zero, otherwise returns the number of
1663 /// zeros from the most significant bit to the first one bits.
1664 unsigned countLeadingZeros() const {
1665 if (isSingleWord()) {
1666 unsigned unusedBits = APINT_BITS_PER_WORD - BitWidth;
1667 return llvm::countLeadingZeros(U.VAL) - unusedBits;
1668 }
1669 return countLeadingZerosSlowCase();
1670 }
1671
1672 /// Count the number of leading one bits.
1673 ///
1674 /// This function is an APInt version of the countLeadingOnes
1675 /// functions in MathExtras.h. It counts the number of ones from the most
1676 /// significant bit to the first zero bit.
1677 ///
1678 /// \returns 0 if the high order bit is not set, otherwise returns the number
1679 /// of 1 bits from the most significant to the least
1680 unsigned countLeadingOnes() const {
1681 if (isSingleWord())
1682 return llvm::countLeadingOnes(U.VAL << (APINT_BITS_PER_WORD - BitWidth));
1683 return countLeadingOnesSlowCase();
1684 }
1685
1686 /// Computes the number of leading bits of this APInt that are equal to its
1687 /// sign bit.
1688 unsigned getNumSignBits() const {
1689 return isNegative() ? countLeadingOnes() : countLeadingZeros();
1690 }
1691
1692 /// Count the number of trailing zero bits.
1693 ///
1694 /// This function is an APInt version of the countTrailingZeros
1695 /// functions in MathExtras.h. It counts the number of zeros from the least
1696 /// significant bit to the first set bit.
1697 ///
1698 /// \returns BitWidth if the value is zero, otherwise returns the number of
1699 /// zeros from the least significant bit to the first one bit.
1700 unsigned countTrailingZeros() const {
1701 if (isSingleWord()) {
1702 unsigned TrailingZeros = llvm::countTrailingZeros(U.VAL);
1703 return (TrailingZeros > BitWidth ? BitWidth : TrailingZeros);
1704 }
1705 return countTrailingZerosSlowCase();
1706 }
1707
1708 /// Count the number of trailing one bits.
1709 ///
1710 /// This function is an APInt version of the countTrailingOnes
1711 /// functions in MathExtras.h. It counts the number of ones from the least
1712 /// significant bit to the first zero bit.
1713 ///
1714 /// \returns BitWidth if the value is all ones, otherwise returns the number
1715 /// of ones from the least significant bit to the first zero bit.
1716 unsigned countTrailingOnes() const {
1717 if (isSingleWord())
1718 return llvm::countTrailingOnes(U.VAL);
1719 return countTrailingOnesSlowCase();
1720 }
1721
1722 /// Count the number of bits set.
1723 ///
1724 /// This function is an APInt version of the countPopulation functions
1725 /// in MathExtras.h. It counts the number of 1 bits in the APInt value.
1726 ///
1727 /// \returns 0 if the value is zero, otherwise returns the number of set bits.
1728 unsigned countPopulation() const {
1729 if (isSingleWord())
1730 return llvm::countPopulation(U.VAL);
1731 return countPopulationSlowCase();
1732 }
1733
1734 /// @}
1735 /// \name Conversion Functions
1736 /// @{
1737 void print(raw_ostream &OS, bool isSigned) const;
1738
1739 /// Converts an APInt to a string and append it to Str. Str is commonly a
1740 /// SmallString.
1741 void toString(SmallVectorImpl<char> &Str, unsigned Radix, bool Signed,
1742 bool formatAsCLiteral = false) const;
1743
1744 /// Considers the APInt to be unsigned and converts it into a string in the
1745 /// radix given. The radix can be 2, 8, 10 16, or 36.
1746 void toStringUnsigned(SmallVectorImpl<char> &Str, unsigned Radix = 10) const {
1747 toString(Str, Radix, false, false);
1748 }
1749
1750 /// Considers the APInt to be signed and converts it into a string in the
1751 /// radix given. The radix can be 2, 8, 10, 16, or 36.
1752 void toStringSigned(SmallVectorImpl<char> &Str, unsigned Radix = 10) const {
1753 toString(Str, Radix, true, false);
1754 }
1755
1756 /// \returns a byte-swapped representation of this APInt Value.
1757 APInt byteSwap() const;
1758
1759 /// \returns the value with the bit representation reversed of this APInt
1760 /// Value.
1761 APInt reverseBits() const;
1762
1763 /// Converts this APInt to a double value.
1764 double roundToDouble(bool isSigned) const;
1765
1766 /// Converts this unsigned APInt to a double value.
1767 double roundToDouble() const { return roundToDouble(false); }
1768
1769 /// Converts this signed APInt to a double value.
1770 double signedRoundToDouble() const { return roundToDouble(true); }
1771
1772 /// Converts APInt bits to a double
1773 ///
1774 /// The conversion does not do a translation from integer to double, it just
1775 /// re-interprets the bits as a double. Note that it is valid to do this on
1776 /// any bit width. Exactly 64 bits will be translated.
1777 double bitsToDouble() const {
1778 return BitsToDouble(getWord(0));
1779 }
1780
1781 /// Converts APInt bits to a float
1782 ///
1783 /// The conversion does not do a translation from integer to float, it just
1784 /// re-interprets the bits as a float. Note that it is valid to do this on
1785 /// any bit width. Exactly 32 bits will be translated.
1786 float bitsToFloat() const {
1787 return BitsToFloat(static_cast<uint32_t>(getWord(0)));
1788 }
1789
1790 /// Converts a double to APInt bits.
1791 ///
1792 /// The conversion does not do a translation from double to integer, it just
1793 /// re-interprets the bits of the double.
1794 static APInt doubleToBits(double V) {
1795 return APInt(sizeof(double) * CHAR_BIT8, DoubleToBits(V));
1796 }
1797
1798 /// Converts a float to APInt bits.
1799 ///
1800 /// The conversion does not do a translation from float to integer, it just
1801 /// re-interprets the bits of the float.
1802 static APInt floatToBits(float V) {
1803 return APInt(sizeof(float) * CHAR_BIT8, FloatToBits(V));
1804 }
1805
1806 /// @}
1807 /// \name Mathematics Operations
1808 /// @{
1809
1810 /// \returns the floor log base 2 of this APInt.
1811 unsigned logBase2() const { return getActiveBits() - 1; }
1812
1813 /// \returns the ceil log base 2 of this APInt.
1814 unsigned ceilLogBase2() const {
1815 APInt temp(*this);
1816 --temp;
1817 return temp.getActiveBits();
1818 }
1819
1820 /// \returns the nearest log base 2 of this APInt. Ties round up.
1821 ///
1822 /// NOTE: When we have a BitWidth of 1, we define:
1823 ///
1824 /// log2(0) = UINT32_MAX
1825 /// log2(1) = 0
1826 ///
1827 /// to get around any mathematical concerns resulting from
1828 /// referencing 2 in a space where 2 does no exist.
1829 unsigned nearestLogBase2() const {
1830 // Special case when we have a bitwidth of 1. If VAL is 1, then we
1831 // get 0. If VAL is 0, we get WORDTYPE_MAX which gets truncated to
1832 // UINT32_MAX.
1833 if (BitWidth == 1)
1834 return U.VAL - 1;
1835
1836 // Handle the zero case.
1837 if (isNullValue())
1838 return UINT32_MAX0xffffffffU;
1839
1840 // The non-zero case is handled by computing:
1841 //
1842 // nearestLogBase2(x) = logBase2(x) + x[logBase2(x)-1].
1843 //
1844 // where x[i] is referring to the value of the ith bit of x.
1845 unsigned lg = logBase2();
1846 return lg + unsigned((*this)[lg - 1]);
1847 }
1848
1849 /// \returns the log base 2 of this APInt if its an exact power of two, -1
1850 /// otherwise
1851 int32_t exactLogBase2() const {
1852 if (!isPowerOf2())
1853 return -1;
1854 return logBase2();
1855 }
1856
1857 /// Compute the square root
1858 APInt sqrt() const;
1859
1860 /// Get the absolute value;
1861 ///
1862 /// If *this is < 0 then return -(*this), otherwise *this;
1863 APInt abs() const {
1864 if (isNegative())
1865 return -(*this);
1866 return *this;
1867 }
1868
1869 /// \returns the multiplicative inverse for a given modulo.
1870 APInt multiplicativeInverse(const APInt &modulo) const;
1871
1872 /// @}
1873 /// \name Support for division by constant
1874 /// @{
1875
1876 /// Calculate the magic number for signed division by a constant.
1877 struct ms;
1878 ms magic() const;
1879
1880 /// Calculate the magic number for unsigned division by a constant.
1881 struct mu;
1882 mu magicu(unsigned LeadingZeros = 0) const;
1883
1884 /// @}
1885 /// \name Building-block Operations for APInt and APFloat
1886 /// @{
1887
1888 // These building block operations operate on a representation of arbitrary
1889 // precision, two's-complement, bignum integer values. They should be
1890 // sufficient to implement APInt and APFloat bignum requirements. Inputs are
1891 // generally a pointer to the base of an array of integer parts, representing
1892 // an unsigned bignum, and a count of how many parts there are.
1893
1894 /// Sets the least significant part of a bignum to the input value, and zeroes
1895 /// out higher parts.
1896 static void tcSet(WordType *, WordType, unsigned);
1897
1898 /// Assign one bignum to another.
1899 static void tcAssign(WordType *, const WordType *, unsigned);
1900
1901 /// Returns true if a bignum is zero, false otherwise.
1902 static bool tcIsZero(const WordType *, unsigned);
1903
1904 /// Extract the given bit of a bignum; returns 0 or 1. Zero-based.
1905 static int tcExtractBit(const WordType *, unsigned bit);
1906
1907 /// Copy the bit vector of width srcBITS from SRC, starting at bit srcLSB, to
1908 /// DST, of dstCOUNT parts, such that the bit srcLSB becomes the least
1909 /// significant bit of DST. All high bits above srcBITS in DST are
1910 /// zero-filled.
1911 static void tcExtract(WordType *, unsigned dstCount,
1912 const WordType *, unsigned srcBits,
1913 unsigned srcLSB);
1914
1915 /// Set the given bit of a bignum. Zero-based.
1916 static void tcSetBit(WordType *, unsigned bit);
1917
1918 /// Clear the given bit of a bignum. Zero-based.
1919 static void tcClearBit(WordType *, unsigned bit);
1920
1921 /// Returns the bit number of the least or most significant set bit of a
1922 /// number. If the input number has no bits set -1U is returned.
1923 static unsigned tcLSB(const WordType *, unsigned n);
1924 static unsigned tcMSB(const WordType *parts, unsigned n);
1925
1926 /// Negate a bignum in-place.
1927 static void tcNegate(WordType *, unsigned);
1928
1929 /// DST += RHS + CARRY where CARRY is zero or one. Returns the carry flag.
1930 static WordType tcAdd(WordType *, const WordType *,
1931 WordType carry, unsigned);
1932 /// DST += RHS. Returns the carry flag.
1933 static WordType tcAddPart(WordType *, WordType, unsigned);
1934
1935 /// DST -= RHS + CARRY where CARRY is zero or one. Returns the carry flag.
1936 static WordType tcSubtract(WordType *, const WordType *,
1937 WordType carry, unsigned);
1938 /// DST -= RHS. Returns the carry flag.
1939 static WordType tcSubtractPart(WordType *, WordType, unsigned);
1940
1941 /// DST += SRC * MULTIPLIER + PART if add is true
1942 /// DST = SRC * MULTIPLIER + PART if add is false
1943 ///
1944 /// Requires 0 <= DSTPARTS <= SRCPARTS + 1. If DST overlaps SRC they must
1945 /// start at the same point, i.e. DST == SRC.
1946 ///
1947 /// If DSTPARTS == SRC_PARTS + 1 no overflow occurs and zero is returned.
1948 /// Otherwise DST is filled with the least significant DSTPARTS parts of the
1949 /// result, and if all of the omitted higher parts were zero return zero,
1950 /// otherwise overflow occurred and return one.
1951 static int tcMultiplyPart(WordType *dst, const WordType *src,
1952 WordType multiplier, WordType carry,
1953 unsigned srcParts, unsigned dstParts,
1954 bool add);
1955
1956 /// DST = LHS * RHS, where DST has the same width as the operands and is
1957 /// filled with the least significant parts of the result. Returns one if
1958 /// overflow occurred, otherwise zero. DST must be disjoint from both
1959 /// operands.
1960 static int tcMultiply(WordType *, const WordType *, const WordType *,
1961 unsigned);
1962
1963 /// DST = LHS * RHS, where DST has width the sum of the widths of the
1964 /// operands. No overflow occurs. DST must be disjoint from both operands.
1965 static void tcFullMultiply(WordType *, const WordType *,
1966 const WordType *, unsigned, unsigned);
1967
1968 /// If RHS is zero LHS and REMAINDER are left unchanged, return one.
1969 /// Otherwise set LHS to LHS / RHS with the fractional part discarded, set
1970 /// REMAINDER to the remainder, return zero. i.e.
1971 ///
1972 /// OLD_LHS = RHS * LHS + REMAINDER
1973 ///
1974 /// SCRATCH is a bignum of the same size as the operands and result for use by
1975 /// the routine; its contents need not be initialized and are destroyed. LHS,
1976 /// REMAINDER and SCRATCH must be distinct.
1977 static int tcDivide(WordType *lhs, const WordType *rhs,
1978 WordType *remainder, WordType *scratch,
1979 unsigned parts);
1980
1981 /// Shift a bignum left Count bits. Shifted in bits are zero. There are no
1982 /// restrictions on Count.
1983 static void tcShiftLeft(WordType *, unsigned Words, unsigned Count);
1984
1985 /// Shift a bignum right Count bits. Shifted in bits are zero. There are no
1986 /// restrictions on Count.
1987 static void tcShiftRight(WordType *, unsigned Words, unsigned Count);
1988
1989 /// The obvious AND, OR and XOR and complement operations.
1990 static void tcAnd(WordType *, const WordType *, unsigned);
1991 static void tcOr(WordType *, const WordType *, unsigned);
1992 static void tcXor(WordType *, const WordType *, unsigned);
1993 static void tcComplement(WordType *, unsigned);
1994
1995 /// Comparison (unsigned) of two bignums.
1996 static int tcCompare(const WordType *, const WordType *, unsigned);
1997
1998 /// Increment a bignum in-place. Return the carry flag.
1999 static WordType tcIncrement(WordType *dst, unsigned parts) {
2000 return tcAddPart(dst, 1, parts);
2001 }
2002
2003 /// Decrement a bignum in-place. Return the borrow flag.
2004 static WordType tcDecrement(WordType *dst, unsigned parts) {
2005 return tcSubtractPart(dst, 1, parts);
2006 }
2007
2008 /// Set the least significant BITS and clear the rest.
2009 static void tcSetLeastSignificantBits(WordType *, unsigned, unsigned bits);
2010
2011 /// debug method
2012 void dump() const;
2013
2014 /// @}
2015};
2016
2017/// Magic data for optimising signed division by a constant.
2018struct APInt::ms {
2019 APInt m; ///< magic number
2020 unsigned s; ///< shift amount
2021};
2022
2023/// Magic data for optimising unsigned division by a constant.
2024struct APInt::mu {
2025 APInt m; ///< magic number
2026 bool a; ///< add indicator
2027 unsigned s; ///< shift amount
2028};
2029
2030inline bool operator==(uint64_t V1, const APInt &V2) { return V2 == V1; }
2031
2032inline bool operator!=(uint64_t V1, const APInt &V2) { return V2 != V1; }
2033
2034/// Unary bitwise complement operator.
2035///
2036/// \returns an APInt that is the bitwise complement of \p v.
2037inline APInt operator~(APInt v) {
2038 v.flipAllBits();
2039 return v;
2040}
2041
2042inline APInt operator&(APInt a, const APInt &b) {
2043 a &= b;
2044 return a;
2045}
2046
2047inline APInt operator&(const APInt &a, APInt &&b) {
2048 b &= a;
2049 return std::move(b);
2050}
2051
2052inline APInt operator&(APInt a, uint64_t RHS) {
2053 a &= RHS;
2054 return a;
2055}
2056
2057inline APInt operator&(uint64_t LHS, APInt b) {
2058 b &= LHS;
2059 return b;
2060}
2061
2062inline APInt operator|(APInt a, const APInt &b) {
2063 a |= b;
2064 return a;
2065}
2066
2067inline APInt operator|(const APInt &a, APInt &&b) {
2068 b |= a;
2069 return std::move(b);
2070}
2071
2072inline APInt operator|(APInt a, uint64_t RHS) {
2073 a |= RHS;
2074 return a;
2075}
2076
2077inline APInt operator|(uint64_t LHS, APInt b) {
2078 b |= LHS;
2079 return b;
2080}
2081
2082inline APInt operator^(APInt a, const APInt &b) {
2083 a ^= b;
2084 return a;
2085}
2086
2087inline APInt operator^(const APInt &a, APInt &&b) {
2088 b ^= a;
2089 return std::move(b);
2090}
2091
2092inline APInt operator^(APInt a, uint64_t RHS) {
2093 a ^= RHS;
2094 return a;
2095}
2096
2097inline APInt operator^(uint64_t LHS, APInt b) {
2098 b ^= LHS;
2099 return b;
2100}
2101
2102inline raw_ostream &operator<<(raw_ostream &OS, const APInt &I) {
2103 I.print(OS, true);
2104 return OS;
2105}
2106
2107inline APInt operator-(APInt v) {
2108 v.negate();
2109 return v;
2110}
2111
2112inline APInt operator+(APInt a, const APInt &b) {
2113 a += b;
2114 return a;
2115}
2116
2117inline APInt operator+(const APInt &a, APInt &&b) {
2118 b += a;
2119 return std::move(b);
2120}
2121
2122inline APInt operator+(APInt a, uint64_t RHS) {
2123 a += RHS;
2124 return a;
2125}
2126
2127inline APInt operator+(uint64_t LHS, APInt b) {
2128 b += LHS;
2129 return b;
2130}
2131
2132inline APInt operator-(APInt a, const APInt &b) {
2133 a -= b;
2134 return a;
2135}
2136
2137inline APInt operator-(const APInt &a, APInt &&b) {
2138 b.negate();
2139 b += a;
2140 return std::move(b);
2141}
2142
2143inline APInt operator-(APInt a, uint64_t RHS) {
2144 a -= RHS;
2145 return a;
2146}
2147
2148inline APInt operator-(uint64_t LHS, APInt b) {
2149 b.negate();
2150 b += LHS;
2151 return b;
2152}
2153
2154inline APInt operator*(APInt a, uint64_t RHS) {
2155 a *= RHS;
2156 return a;
2157}
2158
2159inline APInt operator*(uint64_t LHS, APInt b) {
2160 b *= LHS;
2161 return b;
2162}
2163
2164
2165namespace APIntOps {
2166
2167/// Determine the smaller of two APInts considered to be signed.
2168inline const APInt &smin(const APInt &A, const APInt &B) {
2169 return A.slt(B) ? A : B;
2170}
2171
2172/// Determine the larger of two APInts considered to be signed.
2173inline const APInt &smax(const APInt &A, const APInt &B) {
2174 return A.sgt(B) ? A : B;
2175}
2176
2177/// Determine the smaller of two APInts considered to be unsigned.
2178inline const APInt &umin(const APInt &A, const APInt &B) {
2179 return A.ult(B) ? A : B;
2180}
2181
2182/// Determine the larger of two APInts considered to be unsigned.
2183inline const APInt &umax(const APInt &A, const APInt &B) {
2184 return A.ugt(B) ? A : B;
2185}
2186
2187/// Compute GCD of two unsigned APInt values.
2188///
2189/// This function returns the greatest common divisor of the two APInt values
2190/// using Stein's algorithm.
2191///
2192/// \returns the greatest common divisor of A and B.
2193APInt GreatestCommonDivisor(APInt A, APInt B);
2194
2195/// Converts the given APInt to a double value.
2196///
2197/// Treats the APInt as an unsigned value for conversion purposes.
2198inline double RoundAPIntToDouble(const APInt &APIVal) {
2199 return APIVal.roundToDouble();
2200}
2201
2202/// Converts the given APInt to a double value.
2203///
2204/// Treats the APInt as a signed value for conversion purposes.
2205inline double RoundSignedAPIntToDouble(const APInt &APIVal) {
2206 return APIVal.signedRoundToDouble();
2207}
2208
2209/// Converts the given APInt to a float value.
2210inline float RoundAPIntToFloat(const APInt &APIVal) {
2211 return float(RoundAPIntToDouble(APIVal));
2212}
2213
2214/// Converts the given APInt to a float value.
2215///
2216/// Treats the APInt as a signed value for conversion purposes.
2217inline float RoundSignedAPIntToFloat(const APInt &APIVal) {
2218 return float(APIVal.signedRoundToDouble());
2219}
2220
2221/// Converts the given double value into a APInt.
2222///
2223/// This function convert a double value to an APInt value.
2224APInt RoundDoubleToAPInt(double Double, unsigned width);
2225
2226/// Converts a float value into a APInt.
2227///
2228/// Converts a float value into an APInt value.
2229inline APInt RoundFloatToAPInt(float Float, unsigned width) {
2230 return RoundDoubleToAPInt(double(Float), width);
2231}
2232
2233/// Return A unsign-divided by B, rounded by the given rounding mode.
2234APInt RoundingUDiv(const APInt &A, const APInt &B, APInt::Rounding RM);
2235
2236/// Return A sign-divided by B, rounded by the given rounding mode.
2237APInt RoundingSDiv(const APInt &A, const APInt &B, APInt::Rounding RM);
2238
2239/// Let q(n) = An^2 + Bn + C, and BW = bit width of the value range
2240/// (e.g. 32 for i32).
2241/// This function finds the smallest number n, such that
2242/// (a) n >= 0 and q(n) = 0, or
2243/// (b) n >= 1 and q(n-1) and q(n), when evaluated in the set of all
2244/// integers, belong to two different intervals [Rk, Rk+R),
2245/// where R = 2^BW, and k is an integer.
2246/// The idea here is to find when q(n) "overflows" 2^BW, while at the
2247/// same time "allowing" subtraction. In unsigned modulo arithmetic a
2248/// subtraction (treated as addition of negated numbers) would always
2249/// count as an overflow, but here we want to allow values to decrease
2250/// and increase as long as they are within the same interval.
2251/// Specifically, adding of two negative numbers should not cause an
2252/// overflow (as long as the magnitude does not exceed the bit width).
2253/// On the other hand, given a positive number, adding a negative
2254/// number to it can give a negative result, which would cause the
2255/// value to go from [-2^BW, 0) to [0, 2^BW). In that sense, zero is
2256/// treated as a special case of an overflow.
2257///
2258/// This function returns None if after finding k that minimizes the
2259/// positive solution to q(n) = kR, both solutions are contained between
2260/// two consecutive integers.
2261///
2262/// There are cases where q(n) > T, and q(n+1) < T (assuming evaluation
2263/// in arithmetic modulo 2^BW, and treating the values as signed) by the
2264/// virtue of *signed* overflow. This function will *not* find such an n,
2265/// however it may find a value of n satisfying the inequalities due to
2266/// an *unsigned* overflow (if the values are treated as unsigned).
2267/// To find a solution for a signed overflow, treat it as a problem of
2268/// finding an unsigned overflow with a range with of BW-1.
2269///
2270/// The returned value may have a different bit width from the input
2271/// coefficients.
2272Optional<APInt> SolveQuadraticEquationWrap(APInt A, APInt B, APInt C,
2273 unsigned RangeWidth);
2274
2275/// Compare two values, and if they are different, return the position of the
2276/// most significant bit that is different in the values.
2277Optional<unsigned> GetMostSignificantDifferentBit(const APInt &A,
2278 const APInt &B);
2279
2280} // End of APIntOps namespace
2281
2282// See friend declaration above. This additional declaration is required in
2283// order to compile LLVM with IBM xlC compiler.
2284hash_code hash_value(const APInt &Arg);
2285
2286/// StoreIntToMemory - Fills the StoreBytes bytes of memory starting from Dst
2287/// with the integer held in IntVal.
2288void StoreIntToMemory(const APInt &IntVal, uint8_t *Dst, unsigned StoreBytes);
2289
2290/// LoadIntFromMemory - Loads the integer stored in the LoadBytes bytes starting
2291/// from Src into IntVal, which is assumed to be wide enough and to hold zero.
2292void LoadIntFromMemory(APInt &IntVal, const uint8_t *Src, unsigned LoadBytes);
2293
2294/// Provide DenseMapInfo for APInt.
2295template <> struct DenseMapInfo<APInt> {
2296 static inline APInt getEmptyKey() {
2297 APInt V(nullptr, 0);
2298 V.U.VAL = 0;
2299 return V;
2300 }
2301
2302 static inline APInt getTombstoneKey() {
2303 APInt V(nullptr, 0);
2304 V.U.VAL = 1;
2305 return V;
2306 }
2307
2308 static unsigned getHashValue(const APInt &Key);
2309
2310 static bool isEqual(const APInt &LHS, const APInt &RHS) {
2311 return LHS.getBitWidth() == RHS.getBitWidth() && LHS == RHS;
2312 }
2313};
2314
2315} // namespace llvm
2316
2317#endif