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llvm-mirror/lib/Analysis
Krzysztof Parzyszek e5e129cd68 [SCEV] Properly solve quadratic equations
Differential Revision: https://reviews.llvm.org/D48283

llvm-svn: 338758
2018-08-02 19:13:35 +00:00
..
AliasAnalysis.cpp [MSSA] Print more optimization information 2018-06-14 19:55:53 +00:00
AliasAnalysisEvaluator.cpp [MSSA] Print more optimization information 2018-06-14 19:55:53 +00:00
AliasAnalysisSummary.cpp
AliasAnalysisSummary.h Revert r332657: "[AA] cfl-anders-aa with field sensitivity" 2018-05-17 21:56:39 +00:00
AliasSetTracker.cpp Remove trailing space 2018-07-30 19:41:25 +00:00
Analysis.cpp Add a PhiValuesAnalysis pass to calculate the underlying values of phis 2018-06-28 14:13:06 +00:00
AssumptionCache.cpp
BasicAliasAnalysis.cpp [BasicAA] Use PhiValuesAnalysis if available when handling phi alias 2018-07-30 11:52:08 +00:00
BlockFrequencyInfo.cpp
BlockFrequencyInfoImpl.cpp Rename DEBUG macro to LLVM_DEBUG. 2018-05-14 12:53:11 +00:00
BranchProbabilityInfo.cpp [BPI] Remove unnecessary std::list 2018-06-15 21:06:43 +00:00
CallGraph.cpp Remove trailing space 2018-07-30 19:41:25 +00:00
CallGraphSCCPass.cpp Remove trailing space 2018-07-30 19:41:25 +00:00
CallPrinter.cpp Revert "Extend CFGPrinter and CallPrinter with Heat Colors" 2018-06-29 17:48:58 +00:00
CaptureTracking.cpp Fix aliasing of launder.invariant.group 2018-05-23 09:16:44 +00:00
CFG.cpp
CFGPrinter.cpp Remove trailing space 2018-07-30 19:41:25 +00:00
CFLAndersAliasAnalysis.cpp Replace AA's uses of uint64_t with LocationSize; NFC. 2018-05-25 21:16:58 +00:00
CFLGraph.h [CFLAA] Reflow comments; NFC 2018-05-26 02:17:43 +00:00
CFLSteensAliasAnalysis.cpp Rename DEBUG macro to LLVM_DEBUG. 2018-05-14 12:53:11 +00:00
CGSCCPassManager.cpp Rename DEBUG macro to LLVM_DEBUG. 2018-05-14 12:53:11 +00:00
CMakeLists.txt Revert "Extend CFGPrinter and CallPrinter with Heat Colors" 2018-06-29 17:48:58 +00:00
CmpInstAnalysis.cpp
CodeMetrics.cpp Rename DEBUG macro to LLVM_DEBUG. 2018-05-14 12:53:11 +00:00
ConstantFolding.cpp ConstantFolding: Avoid a crash. 2018-07-23 21:20:00 +00:00
CostModel.cpp Remove redundant includes from lib/Analysis. 2017-12-13 21:30:41 +00:00
Delinearization.cpp [NFC] Consolidate six getPointerOperand() utility functions into one place 2018-03-09 21:05:58 +00:00
DemandedBits.cpp Remove trailing space 2018-07-30 19:41:25 +00:00
DependenceAnalysis.cpp [DA] Delinearise AddRecs if we can prove they don't wrap 2018-06-25 15:13:26 +00:00
DivergenceAnalysis.cpp DivergenceAnalysis: added debug output 2018-07-13 13:13:30 +00:00
DominanceFrontier.cpp IWYU for llvm-config.h in llvm, additions. 2018-04-30 14:59:11 +00:00
DomPrinter.cpp Revert "Extend CFGPrinter and CallPrinter with Heat Colors" 2018-06-29 17:48:58 +00:00
EHPersonalities.cpp [WebAssembly] Add Wasm personality and isScopedEHPersonality() 2018-05-17 20:52:03 +00:00
GlobalsModRef.cpp Remove trailing space 2018-07-30 19:41:25 +00:00
IndirectCallPromotionAnalysis.cpp Rename DEBUG macro to LLVM_DEBUG. 2018-05-14 12:53:11 +00:00
InlineCost.cpp Revert "Enrich inline messages", tests fail 2018-08-01 08:02:40 +00:00
InstCount.cpp
InstructionSimplify.cpp [InstSimplify] move minnum/maxnum with undef fold from instcombine 2018-08-02 14:33:40 +00:00
Interval.cpp
IntervalPartition.cpp
IteratedDominanceFrontier.cpp [IDF] Enforce the returned blocks to be sorted. 2018-05-12 01:44:32 +00:00
IVUsers.cpp Rename DEBUG macro to LLVM_DEBUG. 2018-05-14 12:53:11 +00:00
LazyBlockFrequencyInfo.cpp Require DominatorTree when requiring/preserving LoopInfo in the old pass manager 2018-05-17 09:05:40 +00:00
LazyBranchProbabilityInfo.cpp Require DominatorTree when requiring/preserving LoopInfo in the old pass manager 2018-05-17 09:05:40 +00:00
LazyCallGraph.cpp [STLExtras] Add size() for ranges, and remove distance() 2018-05-16 23:20:42 +00:00
LazyValueInfo.cpp Remove trailing space 2018-07-30 19:41:25 +00:00
Lint.cpp Remove \brief commands from doxygen comments. 2018-05-01 15:54:18 +00:00
LLVMBuild.txt
Loads.cpp Fix aliasing of launder.invariant.group 2018-05-23 09:16:44 +00:00
LoopAccessAnalysis.cpp Remove trailing space 2018-07-30 19:41:25 +00:00
LoopAnalysisManager.cpp Fixed spelling mistake in comments of LLVM Analysis passes 2018-02-28 19:08:52 +00:00
LoopInfo.cpp [LoopInfo] Port loop exit interfaces from Loop to LoopBase 2018-07-09 17:52:49 +00:00
LoopPass.cpp [ORE] Move loop invariant ORE checks outside the PM loop. 2018-07-22 05:27:41 +00:00
LoopUnrollAnalyzer.cpp Remove \brief commands from doxygen comments. 2018-05-01 15:54:18 +00:00
MemDepPrinter.cpp Remove trailing space 2018-07-30 19:41:25 +00:00
MemDerefPrinter.cpp Remove redundant includes from lib/Analysis. 2017-12-13 21:30:41 +00:00
MemoryBuiltins.cpp Make llvm.objectsize more conservative with null 2018-07-09 22:21:16 +00:00
MemoryDependenceAnalysis.cpp [MemDep] Use PhiValuesAnalysis to improve alias analysis results 2018-07-31 14:19:29 +00:00
MemoryLocation.cpp [DSE] Teach the pass that atomic memory intrinsics are stores. 2018-04-23 19:06:49 +00:00
MemorySSA.cpp [MemorySSA] Add APIs to move memory accesses between blocks, following CFG changes. 2018-07-11 22:11:46 +00:00
MemorySSAUpdater.cpp [MemorySSAUpdater] Update Phi operands after trivial Phi elimination 2018-07-23 10:56:30 +00:00
ModuleDebugInfoPrinter.cpp Remove redundant includes from lib/Analysis. 2017-12-13 21:30:41 +00:00
ModuleSummaryAnalysis.cpp [ThinLTO] Add string saver onto index for value names 2018-06-26 02:29:08 +00:00
MustExecute.cpp Remove trailing space 2018-07-30 19:41:25 +00:00
ObjCARCAliasAnalysis.cpp
ObjCARCAnalysisUtils.cpp Remove \brief commands from doxygen comments. 2018-05-01 15:54:18 +00:00
ObjCARCInstKind.cpp [DebugInfo] Add DILabel metadata and intrinsic llvm.dbg.label. 2018-05-09 02:40:45 +00:00
OptimizationRemarkEmitter.cpp Remove redundant includes from lib/Analysis. 2017-12-13 21:30:41 +00:00
OrderedBasicBlock.cpp Remove \brief commands from doxygen comments. 2018-05-01 15:54:18 +00:00
PHITransAddr.cpp IWYU for llvm-config.h in llvm, additions. 2018-04-30 14:59:11 +00:00
PhiValues.cpp Add a PhiValuesAnalysis pass to calculate the underlying values of phis 2018-06-28 14:13:06 +00:00
PostDominators.cpp [Dominators] Add PDT constructor from Function 2018-05-23 17:29:21 +00:00
ProfileSummaryInfo.cpp [SampleFDO] Don't treat warm callsite with inline instance in the profile as cold 2018-05-10 23:02:27 +00:00
PtrUseVisitor.cpp
README.txt
RegionInfo.cpp Test commit, fix a minor typo. 2018-07-22 20:04:42 +00:00
RegionPass.cpp Rename DEBUG macro to LLVM_DEBUG. 2018-05-14 12:53:11 +00:00
RegionPrinter.cpp Revert "Extend CFGPrinter and CallPrinter with Heat Colors" 2018-06-29 17:48:58 +00:00
ScalarEvolution.cpp [SCEV] Properly solve quadratic equations 2018-08-02 19:13:35 +00:00
ScalarEvolutionAliasAnalysis.cpp
ScalarEvolutionExpander.cpp [SCEV] Don't expand Wrap predicate using inttoptr in ni addrspaces 2018-07-26 21:55:06 +00:00
ScalarEvolutionNormalization.cpp
ScopedNoAliasAA.cpp
StratifiedSets.h Remove \brief commands from doxygen comments. 2018-05-01 15:54:18 +00:00
SyntheticCountsUtils.cpp Remove CallGraphTraits and use equivalent methods in GraphTraits 2018-02-01 19:40:35 +00:00
TargetLibraryInfo.cpp Add Triple::isMIPS()/isMIPS32()/isMIPS64(). NFC 2018-06-25 16:49:20 +00:00
TargetTransformInfo.cpp Remove trailing space 2018-07-30 19:41:25 +00:00
Trace.cpp IWYU for llvm-config.h in llvm, additions. 2018-04-30 14:59:11 +00:00
TypeBasedAliasAnalysis.cpp Fix more spelling mistakes in comments of LLVM Analysis passes 2018-03-02 18:57:02 +00:00
TypeMetadataUtils.cpp
ValueLattice.cpp
ValueLatticeUtils.cpp
ValueTracking.cpp [ValueTracking] fix maxnum miscompile for cannotBeOrderedLessThanZero (PR37776) 2018-08-02 13:46:20 +00:00
VectorUtils.cpp Remove \brief commands from doxygen comments. 2018-05-01 15:54:18 +00:00

Analysis Opportunities:

//===---------------------------------------------------------------------===//

In test/Transforms/LoopStrengthReduce/quadradic-exit-value.ll, the
ScalarEvolution expression for %r is this:

  {1,+,3,+,2}<loop>

Outside the loop, this could be evaluated simply as (%n * %n), however
ScalarEvolution currently evaluates it as

  (-2 + (2 * (trunc i65 (((zext i64 (-2 + %n) to i65) * (zext i64 (-1 + %n) to i65)) /u 2) to i64)) + (3 * %n))

In addition to being much more complicated, it involves i65 arithmetic,
which is very inefficient when expanded into code.

//===---------------------------------------------------------------------===//

In formatValue in test/CodeGen/X86/lsr-delayed-fold.ll,

ScalarEvolution is forming this expression:

((trunc i64 (-1 * %arg5) to i32) + (trunc i64 %arg5 to i32) + (-1 * (trunc i64 undef to i32)))

This could be folded to

(-1 * (trunc i64 undef to i32))

//===---------------------------------------------------------------------===//