#include <iostream>
#include <math.h>
#include <Rtypes.h>

Functions
template<class T >
T	Abs (T a)

template<class T >
T	Max (T a, T b)

template<class T >
T	max (T a, T b)

template<class T >
T	Min (T a, T b)

template<class T >
T	min (T a, T b)

template<class T >
T	Sign (T A, T B)

template<class T >
void	Swap (T &a, T &b)

template<class T >
void	SwapObj (T a, T b)

Variables
const double	fermi = 1.

const double	GeV = 1.

const double	hbarc = 0.197GeVfermi

const double	N_INFINITY = 9.0E99

const double	N_PI = 3.14159265359

const double	N_SMALL = 1.E-10

Function Documentation

template<class T >

T Abs ( T a )

inline

Definition at line 49 of file MathUtil.h.

References a.

Referenced by FWOverlapTableManager::addOverlapEntry(), MonitorElement::addProfiles(), EmbeddingKineReweightNtupleProducer::analyze(), ZeePlots::analyze(), AnaL1CaloCleaner::analyze(), WenuPlots::analyze(), BeamHaloAnalyzer::analyze(), MCEmbeddingValidationAnalyzer::analyze(), BesselI0(), BesselI1(), FWConvTrackHitsDetailView::build(), FWMET3DProxyBuilder::build(), FWMETProxyBuilder::buildViewType(), HcalHaloAlgo::Calculate(), MEzCalculator::Calculate(), EcalHaloAlgo::Calculate(), METzCalculator::Calculate(), GlobalHaloAlgo::Calculate(), CSCHaloAlgo::Calculate(), SiStripBadAPVAlgorithmFromClusterOccupancy::CalculateMeanAndRMS(), SiStripBadAPVandHotStripAlgorithmFromClusterOccupancy::CalculateMeanAndRMS(), NAStrangePotential::CalculateStrangePotential(), MillePedeAlignmentAlgorithm::callMille2D(), WenuPlots::CheckCut(), ZeePlots::CheckCut1(), ZeePlots::CheckCut1Inv(), ZeePlots::CheckCut2(), ZeePlots::CheckCut2Inv(), WenuPlots::CheckCutInv(), WenuPlots::CheckCuts(), ZeePlots::CheckCuts1(), ZeePlots::CheckCuts2(), reco::modules::TrackerTrackHitFilter::checkHitAngle(), MuonRadiationFilter::checkMuonRadiation(), EventShapeVariables::circularity(), reco::helper::JetIDHelper::classifyJetComponents(), TrackerGeometryCompare::compareSurfaceDeformations(), compareTracklets(), MuonRadiationFilter::compPFIso_raw(), TEveEllipsoid::ComputeBBox(), TEveEllipsoidProjected::ComputeBBox(), EnergyUncertaintyPhotonSpecific::computePhotonEnergyUncertainty_highR9(), EnergyUncertaintyPhotonSpecific::computePhotonEnergyUncertainty_lowR9(), PedeSteererWeakModeConstraints::constructConstraints(), TKinFitter::converged(), EGEnergyCorrector::CorrectedEnergyWithError(), EGEnergyCorrector::CorrectedEnergyWithErrorV3(), PFEnergyCalibration::CorrEta(), JetIDSelectionFunctor::craft08Cuts(), CosmicGenFilterHelix::createHistsEnd(), AntiElectronIDMVA5GBR::dCrackEta(), AntiElectronIDMVA5GBR::dCrackPhi(), Decay(), PFRecoTauDiscriminationAgainstElectronMVA5GBR::discriminate(), PFRecoTauDiscriminationAgainstMuonMVA::discriminate(), PFRecoTauDiscriminationByIsolationMVA2::discriminate(), AntiElectronIDCut2::Discriminator(), IntegralOverPhiFunction::DoEval(), IntegrandThetaFunction::DoEval(), SiPixelGainCalibrationAnalysis::doFits(), TEveEllipsoidProjectedGL::DrawRhoPhi(), TEveEllipsoidProjectedGL::DrawRhoZ(), TEveEllipsoidProjectedGL::drawRhoZAxis(), PFEnergyCalibration::Ecorr(), PFEnergyCalibration::EcorrPS_ePSNil(), EncodedEventId::EncodedEventId(), HOCalibAnalyzer::endJob(), EcalDeadChannelRecoveryNN< DetIdT >::estimateEnergy(), metsig::SignAlgoResolutions::evalPFJet(), ElectronEnergyCorrector::fBremEta(), EcalClusterEnergyCorrectionObjectSpecific::fBremEta(), GenSpecificAlgo::fillCommonMETData(), MillePedeMonitor::fillDerivatives(), QcdLowPtDQM::filldNdeta(), MillePedeMonitor::fillFrameToFrame(), MCEmbeddingValidationAnalyzer::metDistributionType::fillHistograms(), MillePedeMonitor::fillRefTrajectory(), MillePedeMonitor::fillResiduals(), QcdLowPtDQM::fillTracklets(), ZeeCandidateFilter::filter(), fnc_dscb(), fnc_gaussalpha(), fnc_gaussalpha1alpha2(), JetIDSelectionFunctor::fwd09Cuts(), gen::Hydjet2Hadronizer::generatePartonsAndHadronize(), PedeSteererWeakModeConstraints::getCoefficient(), HIPixelClusterVtxProducer::getContainedHits(), pat::PATMHTProducer::getElectrons(), PFEnergyResolution::getEnergyResolutionEm(), HWWFunctions::getExtraLeptons(), TKinFitter::getF(), FWMagField::GetField(), HWWFunctions::getJets(), pat::PATMHTProducer::getJets(), PrimaryVertexValidation::getMAD(), FWMagField::GetMaxFieldMag(), PhotonMIPHaloTagger::GetMipTrailFit(), pat::PATMHTProducer::getMuons(), PFResolutionMap::getRes(), getTheElectron(), getTheMuon(), EcalClusterLocalContCorrection::getValue(), EcalClusterEnergyUncertaintyObjectSpecific::getValue(), EcalBasicClusterLocalContCorrection::getValue(), EcalClusterCrackCorrection::getValue(), reco::helper::JetIDHelper::HBHE_oddness(), FWEveViewManager::highlightAdded(), gen::Hydjet2Hadronizer::initializeForInternalPartons(), PFResolutionMap::IsInAPhiCrack(), CommonUtils::isinf(), ZeeCandidateFilter::isInFiducial(), EventShapeVariables::isotropy(), HDQMUtil::langaupro(), langaupro(), EcalClusterLocal::localCoordsEE(), PFIsolationEstimator::matchPFObject(), PFResolutionMap::minimum(), PFEnergyCalibration::minimum(), AntiElectronIDMVA5GBR::minimum(), GenSpecificAlgo::mkSpecificGenMETData(), HWWFunctions::muonId(), HWWFunctions::muonIdNotIsolated(), AntiElectronIDMVA5GBR::MVAValue(), HWWFunctions::numberOfSoftMuons(), passesElectronId(), passesElectronPreId(), Type0PFMETcorrInputProducer::produce(), CastorTowerProducer::produce(), SmearedJetProducerT< T, Textractor >::produce(), BoostedTopProducer::Psi(), Comp2RefKolmogorov::runTest(), NoisyChannel::runTest(), ContentsWithinExpected::runTest(), scaleFunctionType22< T >::scale(), scaleFunctionType23< T >::scale(), scaleFunctionType24< T >::scale(), scaleFunctionType25< T >::scale(), SiPixelHistoryDQMService::setDBValuesForUser(), TKinFitter::setMaxDeltaS(), TKinFitter::setMaxF(), TopologyWorker::setPartList(), TEcnaResultType::SetSizeHis(), TEcnaResultType::SetSizeMat(), Sign(), TopologyWorker::sign(), HWWFunctions::toptag(), QcdLowPtDQM::trackletVertexUnbinned(), TopologyWorker::ulAngle(), QcdLowPtDQM::vertexZFromClusters(), and HWWFunctions::ww_muIso().

 {
   return (a > 0) ? a : -a;
     }

template<class T >

T Max	(	T	a,
		T	b
	)

inline

Definition at line 44 of file MathUtil.h.

References b.

Referenced by FWItemValueGetter::addEntry(), DQMSourceEleCalib::analyze(), ZMuMuIsolationAnalyzer::analyze(), TrackerHitAnalyzer::analyze(), EcalABAnalyzer::analyze(), EcalPerEvtLaserAnalyzer::analyze(), EcalTestPulseAnalyzer::analyze(), EcalLaserAnalyzer2::analyze(), EcalLaserAnalyzer::analyze(), TAPDPulse::arePulseRatioOK(), FWECALDetailViewBuilder::buildCaloData(), reco::helper::JetIDHelper::calculate(), FWInvMassDialog::Calculate(), MuonRadiationFilter::compPFIso_puCorr(), TEveEllipsoid::ComputeBBox(), TEveEllipsoidProjected::ComputeBBox(), PFRecoTauDiscriminationAgainstMuonMVA::discriminate(), PFRecoTauDiscriminationByIsolationMVA2::discriminate(), IntegralOverPhiFunction::DoEval(), TEveEllipsoidProjectedGL::DrawRhoZ(), InvRingCalib::duringLoop(), EcalEleCalibLooper::duringLoop(), GenXSecAnalyzer::endRun(), TauDQMHistPlotter::endRun(), FWTEventList::Enter(), TrackerHitProducer::fillG4MC(), MatrixFillMap::fillMap(), FWHFTowerProxyBuilderBase::fillTowerForDetId(), JetIDSelectionFunctor::fwd09Cuts(), CMSCGEN::generate(), FWCompactVerticalLayout::GetDefaultSize(), FWMagField::GetMaxFieldMag(), GetMPV(), FWGeometryTableViewBase::getTopNodeIdx(), HWWFunctions::goodElectronTMVA(), CmsAnnotation::Handle(), EGammaMvaEleEstimator::IDIsoCombinedMvaValue(), EGammaMvaEleEstimator::isoMvaValue(), TAPDPulse::isPulseRatioMaxOK(), FWCompactVerticalLayout::Layout(), PFRecoTauDiscriminationAgainstElectronDeadECAL::loopXtals(), lorentzianPeak(), AntiElectronIDMVA5GBR::MVAValue(), MuonMVAEstimator::mvaValue_Iso(), TopologyWorker::planes_sphe(), TopologyWorker::planes_sphe_wei(), SmearedJetProducerT< T, Textractor >::produce(), MuonTrackCleanerBase::produceTracks(), FWGeometryTableManager::recalculateVisibility(), ZeePlots::ReturnCandVar(), Comp2RefKolmogorov::runTest(), TopologyWorker::sanda(), muon::segmentCompatibility(), SiStripMonitorDigi::SiStripMonitorDigi(), fireworks::Context::voteMaxEtAndEnergy(), FWGeoTopNode::wrapTransparency(), and L1TOccupancyClient::xySymmetry().

 {
   return (a > b) ? a : b;
     }

template<class T >

T max	(	T	a,
		T	b
	)

inline

Definition at line 63 of file MathUtil.h.

References b.

 {
   return (a > b)?a:b;
     }

template<class T >

T Min	(	T	a,
		T	b
	)

inline

Definition at line 39 of file MathUtil.h.

References b.

Referenced by TrackerHitAnalyzer::analyze(), DisplayGeom::analyze(), TAPDPulse::arePulseRatioOK(), FWVertexProxyBuilder::build(), FWTauProxyBuilderBase::buildBaseTau(), FWECALDetailViewBuilder::buildCaloData(), FWJetProxyBuilder::buildViewType(), HcalDataCertification::CertifyHcal(), EGEnergyCorrector::CorrectedEnergyWithErrorV3(), PFRecoTauDiscriminationAgainstMuon2::discriminate(), PFRecoTauDiscriminationAgainstElectronMVA5GBR::discriminate(), PFRecoTauDiscriminationByIsolationMVA2::discriminate(), IntegralOverPhiFunction::DoEval(), TEveEllipsoidProjectedGL::DrawRhoZ(), TrackerHitProducer::fillG4MC(), FWHFTowerProxyBuilderBase::fillTowerForDetId(), JetIDSelectionFunctor::fwd09Cuts(), CMSCGEN::generate(), GetMPV(), CmsAnnotation::Handle(), EGammaMvaEleEstimator::IDIsoCombinedMvaValue(), FWProxyBuilderBase::increaseComponentTransparency(), EGammaMvaEleEstimator::isoMvaValue(), TAPDPulse::isPulseRatioMinOK(), AntiElectronIDMVA5GBR::MVAValue(), MuonMVAEstimator::mvaValue_Iso(), HWWFunctions::nearestDeltaPhi(), reco::tau::PFRecoTauChargedHadronFromTrackPlugin::operator()(), TopologyWorker::planes_sphe(), TopologyWorker::planes_sphe_wei(), TKinFitter::printMatrix(), L1ExtraMixerPluginT< T >::produce(), radius(), JetUtil::radius(), TopologyWorker::sanda(), TopologyWorker::setPartList(), FWMET3DProxyBuilder::Arrow::setScale(), and FWTableView::updateItems().

 {
   return (a < b) ? a : b;
     }

template<class T >

T min	(	T	a,
		T	b
	)

inline

Definition at line 58 of file MathUtil.h.

References b.

 {
   return (a < b)?a:b;
     }

template<class T >

T Sign	(	T	A,
		T	B
	)

inline

Definition at line 54 of file MathUtil.h.

References Abs().

Referenced by FWConvTrackHitsDetailView::build(), FWMETProxyBuilder::buildViewType(), PFEnergyCalibration::CorrEta(), PFRecoTauDiscriminationByIsolationMVA2::discriminate(), FWRPZView::eventBegin(), and FWHFTowerProxyBuilderBase::fillTowerForDetId().

 {
   return (B > 0) ? Abs(A) : -Abs(A);
     }

template<class T >

void Swap	(	T &	a,
		T &	b
	)

inline

Definition at line 32 of file MathUtil.h.

References a, b, and tmp.

 {
   T tmp = a;
     a = b;
       b = tmp;
         }

template<class T >

void SwapObj	(	T *	a,
		T *	b
	)

inline

Definition at line 25 of file MathUtil.h.

References a, b, and tmp.

 {
   T tmp= *a;
     *a = *b;
       *b = tmp;
         }

Variable Documentation

const double fermi = 1.

Definition at line 17 of file MathUtil.h.

Referenced by CocoaUnitDefinition::BuildUnitsTable(), ALIUnitDefinition::BuildUnitsTable(), and MaterialProperties::setMaterialProperties().

const double GeV = 1.

Definition at line 16 of file MathUtil.h.

Referenced by CustomParticleFactory::addCustomParticle(), CustomPhysicsList::addCustomPhysics(), CustomPhysicsListSS::addCustomPhysics(), Rivet::CMS_EWK_10_010::analyze(), Rivet::CMS_EWK_11_021::analyze(), Rivet::CMS_2011_I930319::analyze(), Rivet::CMS_FSQ_12_020::analyze(), Rivet::MC_LES_HOUCHES_SYSTEMATICS_CMS::analyze(), Rivet::CMS_EWK_10_012::analyze(), Bcm1fSD::Bcm1fSD(), CaloSD::CaloSD(), CastorSD::CastorSD(), CMSMonopolePhysics::CMSMonopolePhysics(), CMSMonopolePhysics::ConstructParticle(), CMSMonopolePhysics::ConstructProcess(), Bcm1fSD::createHit(), PltSD::createHit(), TkAccumulatingSensitiveDetector::createHit(), MuonSensitiveDetector::createHit(), HadronPhysicsQGSPCMS_FTFP_BERT::CreateModels(), HadronPhysicsQGSPCMS_FTFP_BERT_WP::CreateModels(), HadronPhysicsCMS::CreateModels(), HadronPhysicsQGSP_BERT_WP::CreateModels(), CaloSD::createNewHit(), Decay3Body::doDecay(), GflashHadronShowerModel::DoIt(), GFlashEMShowerModel::DoIt(), GflashEMShowerModel::DoIt(), GflashHadronShowerModel::excludeDetectorRegion(), HcalTestAnalysis::fill(), SimG4HcalValidation::fill(), ThePEGInterface::fillAuxiliary(), HcalTB06Analysis::fillBuffer(), HcalTB04Analysis::fillBuffer(), HcalTB02Analysis::fillEvent(), MaterialBudgetCastorHistos::fillStartTrack(), MaterialBudgetHcalHistos::fillStartTrack(), Rivet::CMS_2011_I930319::finalize(), ZdcShowerLibrary::getEnergyFromLibrary(), ZdcSD::getFromLibrary(), CastorSD::getFromLibrary(), HCalSD::getFromLibrary(), HCalSD::getFromParam(), HCalSD::getHitFibreBundle(), HCalSD::getHitPMT(), HFShowerPMT::getHits(), HFShowerParam::getHits(), HFShowerLibrary::getHits(), CastorShowerLibraryMaker::GetKinematics(), TotemSD::GetStepInfo(), BscSD::GetStepInfo(), FP420SD::GetStepInfo(), CaloMeanResponse::getWeight(), HFGflash::gfParameterization(), GflashHadronShowerProfile::hadronicParameterization(), CalorimetryManager::HDShowerSimulation(), Generator::HepMC2G4(), HFShowerLibrary::HFShowerLibrary(), HCalSD::hitForFibre(), Rivet::CMS_EWK_11_021::init(), Rivet::CMS_EWK_10_012::init(), Rivet::CMS_EWK_10_010::init(), Rivet::CMS_2011_I930319::init(), Rivet::CMS_2010_S8808686::init(), Rivet::MC_LES_HOUCHES_SYSTEMATICS_CMS::init(), TreatSecondary::initTrack(), HFShowerLibrary::interpolate(), GflashHadronShowerModel::isFirstInelasticInteraction(), G4SimEvent::load(), CustomParticleFactory::loadCustomParticles(), CastorShowerLibrary::loadEventInfo(), HFShowerLibrary::loadEventInfo(), GflashHadronShowerModel::ModelTrigger(), GFlashEMShowerModel::ModelTrigger(), GflashEMShowerModel::ModelTrigger(), NAStrangeDensity::NAStrangeDensity(), Generator::nonBeamEvent2G4(), GflashEMShowerProfile::parameterization(), Generator::particleAssignDaughters(), Generator::particlePassesPrimaryCuts(), PltSD::PltSD(), GflashHadronWrapperProcess::Print(), CaloSD::ProcessHits(), ThePEGInterface::pthat(), CaloMeanResponse::readResponse(), CaloSD::resetForNewPrimary(), UrbanMscModel93::SampleCosineTheta(), CaloSD::saveHit(), PhysicsList::SetCuts(), CustomPhysicsListSS::setupRHadronPhycis(), CustomPhysicsList::setupRHadronPhycis(), TkAccumulatingSensitiveDetector::TkAccumulatingSensitiveDetector(), TreatSecondary::tracks(), MonopoleSteppingAction::update(), RHStopTracer::update(), GflashG4Watcher::update(), MaterialBudget::update(), MaterialBudgetForward::update(), TrackingVerboseAction::update(), HcalTB02Analysis::update(), DoCastorAnalysis::update(), PltSD::updateHit(), Bcm1fSD::updateHit(), TkAccumulatingSensitiveDetector::updateHit(), MuonSensitiveDetector::updateHit(), ZdcSD::ZdcSD(), and PhysicsList::~PhysicsList().

const double hbarc = 0.197*GeV*fermi

Definition at line 18 of file MathUtil.h.

Referenced by UrbanMscModel93::ComputeCrossSectionPerAtom(), GrandCanonical::ParticleEnergyDensity(), NAStrangeDensity::ParticleNumberDensity(), and GrandCanonical::ParticleNumberDensity().

const double N_INFINITY = 9.0E99

Definition at line 21 of file MathUtil.h.

const double N_PI = 3.14159265359

Definition at line 19 of file MathUtil.h.

Referenced by NAStrangeDensity::ParticleNumberDensity().

const double N_SMALL = 1.E-10

Definition at line 22 of file MathUtil.h.