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OPAL (Object Oriented Parallel Accelerator Library) 2022.1
OPAL
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Classes | |
| class | Air |
| class | AluminaAL2O3 |
| class | Aluminum |
| class | Beryllium |
| class | BoronCarbide |
| class | Copper |
| class | Gold |
| class | Graphite |
| class | GraphiteR6710 |
| class | Kapton |
| class | Material |
| class | Molybdenum |
| class | Mylar |
| class | Titanium |
| class | Water |
Variables | |
| constexpr double | pi = 3.14159265358979323846 |
| The value of. More... | |
| constexpr double | two_pi = 2 * pi |
| The value of. More... | |
| constexpr double | u_two_pi = 1.0 / two_pi |
| The value of. More... | |
| constexpr double | e = 2.7182818284590452354 |
| The value of. More... | |
| constexpr double | log10e = 0.43429448190325182765 |
| The logarithm of $e$ to the base 10. More... | |
| constexpr double | c = 299792458.0 |
| The velocity of light in m/s. More... | |
| constexpr double | mu_0 = 1.25663706212e-06 |
| The permeability of vacuum in Vs/Am. More... | |
| constexpr double | epsilon_0 = 8.8541878128e-12 |
| The permittivity of vacuum in As/Vm. More... | |
| constexpr double | h_bar = 6.582119569e-25 |
| The reduced Planck constant in GeVs. More... | |
| constexpr double | Avo = 6.02214076e23 |
| The Avogadro's number. More... | |
| constexpr double | kB = 8.617333262e-5 |
| Boltzman's constant in eV/K. More... | |
| constexpr double | E_ryd = 13.605693122994e-9 |
| Rydberg's energy (Rydberg's constant times hc) in GeV. More... | |
| constexpr double | a0 = 5.29177210903e-11 |
| Bohr radius in m. More... | |
| constexpr double | q_e = 1.602176634e-19 |
| The elementary charge in As. More... | |
| constexpr double | alpha = 7.2973525693e-03 |
| The fine structure constant, no dimension. More... | |
| constexpr double | amu = 0.93149410242 |
| The atomic mass unit energy equivalent in GeV. More... | |
| constexpr double | m_e = 0.51099895000e-03 |
| The electron rest mass in GeV. More... | |
| constexpr double | r_e = 2.8179403262e-15 |
| The classical electron radius in m. More... | |
| constexpr double | lamda_e = 3.8615926796e-13 |
| The reduced Compton wave length for electrons in m. More... | |
| constexpr double | a_e = 1.15965218128e-03 |
| The magnetic momentum anomaly for electrons, no dimension. More... | |
| constexpr double | m_p = 0.93827208816e+00 |
| The proton rest mass in GeV. More... | |
| constexpr double | r_p = 1.53469857e-18 |
| The classical proton radius in m. More... | |
| constexpr double | lamda_p = 2.10308910336e-16 |
| The reduced Compton wave length for protons in m. More... | |
| constexpr double | a_p = 1.792847386e+00 |
| The magnetic momentum anomaly for protons, no dimension. More... | |
| constexpr double | z_p = 1 |
| The charge of proton. More... | |
| constexpr double | m_c = 11.9967074146787 * amu |
| The carbon-12 (fully-stripped) rest mass in GeV. More... | |
| constexpr double | m_hm = 1.00837 * amu |
| The H- rest mass in GeV. More... | |
| constexpr double | m_u = 237.999501 * amu |
| The uranium-238 (fully-stripped) rest mass in GeV. More... | |
| constexpr double | m_mu = 0.1056583755 |
| The muon rest mass in GeV. More... | |
| constexpr double | m_d = 2.013553212745 * amu |
| The deuteron rest mass in GeV. More... | |
| constexpr double | m_xe = 128.87494026 * amu |
| The xenon-129 (fully-stripped) rest mass in GeV. More... | |
| constexpr double | m_alpha = 4.001506179127 * amu |
| The alpha particle rest mass in GeV. More... | |
| constexpr double | m_h = 1.00782503224 * amu |
| The hydrogen atom rest mass in GeV. More... | |
| constexpr double | m_h2p = 2.01510 * amu |
| The H2+ rest mass in GeV. More... | |
| constexpr double | m_h3p = 3.02293 * amu |
| The H3+ rest mass in GeV. More... | |
| constexpr double | PMASS = 1.67262192369e-27 |
| constexpr double | EMASS = 9.1093837015e-31 |
| constexpr double | PCHARGE = 1.602176634e-19 |
| constexpr double | Ia = 17.045148e+03 |
| constexpr double | e0m = 1.75882001076e+11 |
| constexpr double | e0mc = e0m / c |
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constexpr |
Bohr radius in m.
Definition at line 66 of file Physics.h.
Referenced by BeamStrippingPhysics::computeCrossSectionBohr(), Index::containsAllPoints(), and BeamStrippingPhysics::evalLorentzStripping().
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The fine structure constant, no dimension.
Definition at line 72 of file Physics.h.
Referenced by SDDS::parser::array_parser< Iterator >::array_parser(), SDDS::parser::associate_parser< Iterator >::associate_parser(), P3MGreensFunction< 3 >::calculate(), BlendCrossover< T >::crossover(), client::parser::expression< Iterator >::expression(), Distribution::generateBinomial(), matheval::detail::grammar< real_t, Iterator >::grammar(), SDDS::parser::include_parser< Iterator >::include_parser(), SigmaGenerator::initialize(), Pilot< Opt_t, Sim_t, SolPropagationGraph_t, Comm_t >::startPilot(), MultipoleT::transformCoords(), and MultipoleTCurvedConstRadius::transformCoords().
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The atomic mass unit energy equivalent in GeV.
Definition at line 75 of file Physics.h.
Referenced by BeamStrippingPhysics::computeCrossSection(), ScatteringPhysics::computeEnergyLoss(), and RealConstant::RealConstant().
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The Avogadro's number.
Definition at line 57 of file Physics.h.
Referenced by ScatteringPhysics::computeEnergyLoss().
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The velocity of light in m/s.
Definition at line 45 of file Physics.h.
Referenced by Degrader::apply(), FlexibleCollimator::apply(), Monitor::apply(), Source::apply(), Corrector::apply(), GreenWakeFunction::apply(), ParallelTTracker::applyFractionalStep(), Degrader::applyToReferenceParticle(), Monitor::applyToReferenceParticle(), DiscTypeBase::appType(), Astra1DDynamic::Astra1DDynamic(), Astra1DDynamic_fast::Astra1DDynamic_fast(), ParallelTTracker::autophaseCavities(), avl_at(), avl_index(), avl_search_closest(), FDoubleEigen< N >::balance(), IndexedBareFieldIterator< T, Dim >::beginLField(), BendBase::calcDesignRadius(), BendBase::calcFieldAmplitude(), CalcParallelPeriodicDomain(), Bend2D::calculateBendAngle(), Bend2D::calculateRefTrajectory(), centeredInitialize(), PluginElement::changeWidth(), OrbitThreader::checkElementLengths(), Array2D< T >::col_begin(), FArray2D< T, M, N >::col_begin(), Array2D< T >::col_end(), FArray2D< T, M, N >::col_end(), interpolation::complex(), ScatteringPhysics::computeCoulombScattering(), BeamStrippingPhysics::computeCrossSectionBohr(), DistributionMoments::computeDebyeLength(), ScatteringPhysics::computeEnergyLoss(), PartBunch::computeSelfFields(), AmrBoxLib::computeSelfFields_cycl(), PartBunch::computeSelfFields_cycl(), interpolation::conj(), FM1DDynamic::convertHeaderData(), FM1DDynamic_fast::convertHeaderData(), ScatteringPhysics::copyFromBunch(), Statement::delimiter(), RK4< FieldFunction, Arguments >::derivate_m(), DiscTypeBase::dim(), FTps< T, N >::divide(), Probe::doCheck(), Stripper::doCheck(), BeamStrippingPhysics::doPhysics(), Monitor::driftToCorrectPositionAndSave(), Distribution::emitParticles(), OrbitThreader::execute(), ParallelTTracker::execute(), ExtrapolateAndZeroFaceBCApply(), ExtrapolateFaceBCApply(), BoundaryGeometry::fastIsInside(), Inform::fill(), ParallelTTracker::findStartPosition(), for_each(), FunctionFaceBCApply(), ParallelCyclotronTracker::gapCrossKick_m(), EurekaAssign< AntiSymTenzor< T, D > >::get(), EurekaAssign< SymTenzor< T, D > >::get(), EurekaAssign< Tenzor< T, D > >::get(), EurekaAssign< Vektor< T, D > >::get(), RFCavity::getAutoPhaseEstimate(), Rotation3D::getAxis(), Array2D< T >::getColumn(), FArray2D< T, M, N >::getColumn(), TravelingWave::getdT(), RFCavity::getdT(), Astra1DDynamic::getFieldstrength(), Astra1DDynamic_fast::getFieldstrength(), RFCavity::getMomentaKick(), PortableBitmapReader::getNextPart(), PortableGraymapReader::getNextPart(), CavityAutophaser::getPhaseAtMaxEnergy(), Communicate::getProcesses(), IpplInfo::getProcesses(), FieldSolver::getTagging_m(), DistributionMoments::getTemperature(), Corrector::goOnline(), interpolation::im(), IpplStats::incCompressionCompareMax(), IpplStats::incCompressionCompares(), VariableRFCavityFringeField::initialiseCoefficients(), SigmaGenerator::initialize(), OrbitThreader::integrate(), BoundaryGeometry::intersectRayBoundary(), FTps< T, N >::inverse(), BorisPusher::kick(), interpolation::m_complex_build(), Matrix3D::Matrix3D(), Lomb_eq::operator()(), GreenWakeFunction::Wake::operator()(), Array2D< T >::operator()(), FArray2D< T, M, N >::operator()(), matheval::detail::eval_ast< real_t >::operator()(), matheval::detail::ConstantFolder< real_t >::operator()(), interpolation::operator*(), BoundsHolder< T, D >::operator*=(), interpolation::operator*=(), interpolation::operator+(), interpolation::operator+=(), interpolation::operator-(), interpolation::operator-=(), interpolation::operator/(), interpolation::operator/=(), operator<<(), interpolation::operator<<(), CommSendInfo::operator=(), BoundsHolder< T, D >::operator=(), interpolation::operator>>(), SDDS::column::parse(), BoundaryGeometry::partInside(), LOMB_class::period(), PeriodicFaceBCApply(), PETE_apply(), Statement::position(), Statement::print(), ScatteringPhysics::push(), ParallelCyclotronTracker::push(), LF2< FieldFunction, Arguments >::push_m(), Array2D< T >::putColumn(), FArray2D< T, M, N >::putColumn(), interpolation::re(), Bend2D::readFieldMap(), PortableBitmapReader::readImageAscii(), PortableGraymapReader::readImageAscii(), PortableBitmapReader::readImageBinary(), PortableGraymapReader::readImageBinary(), RealConstant::RealConstant(), Util::rewindLinesSDDS(), Offset::rotate(), savgol(), DiscTypeBase::scalarType(), PartBunchBase< T, Dim >::setBeamFrequency(), Message::setCopy(), PartBunchBase< T, Dim >::setCouplingConstant(), Message::setDelete(), ScatteringPhysics::setTimeStepForLeavingParticles(), SigmaGenerator::SigmaGenerator(), PartBins::sortArray(), Util::toUpper(), OrbitThreader::trackBack(), RFCavity::trackOnAxisParticle(), RBend3D::trackRefParticleThrough(), FLieGenerator< T, N >::transform(), Fieldmap::typeset_msg(), OpalHKicker::update(), OpalKicker::update(), OpalMultipole::update(), OpalOctupole::update(), OpalQuadrupole::update(), OpalRBend::update(), OpalSBend::update(), OpalSextupole::update(), OpalSolenoid::update(), OpalVKicker::update(), ThickTracker::update_m(), OrbitThreader::updateBoundingBoxWithCurrentPosition(), ParallelTTracker::updateReferenceParticle(), Message::useCommunicate(), ThickTracker::visitMultipole(), ThickTracker::visitSBend(), where(), ParallelTTracker::writePhaseSpace(), H5PartWrapperForPC::writeStepHeader(), and H5PartWrapperForPT::writeStepHeader().
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The value of.
\[ e \]
Definition at line 39 of file Physics.h.
Referenced by TrimCoil::applyField(), Astra1DDynamic::Astra1DDynamic(), Astra1DDynamic_fast::Astra1DDynamic_fast(), Astra1DElectroStatic::Astra1DElectroStatic(), Astra1DElectroStatic_fast::Astra1DElectroStatic_fast(), Astra1DMagnetoStatic::Astra1DMagnetoStatic(), Astra1DMagnetoStatic_fast::Astra1DMagnetoStatic_fast(), CSRIGFWakeFunction::calcPsi(), CSRWakeFunction::calcPsi(), coordinatetransform::CoordinateTransform::calcSCoordinate(), CSRIGFWakeFunction::calculateGreenFunction(), ParallelCyclotronTracker::checkFileMomentum(), Distribution::checkFileMomentum(), Fieldmap::checkMap(), OpalSimulation::collectResults(), ParallelTTracker::computeExternalFields(), OpalSimulation::createSymlink_m(), Astra1D_fast::determineNumSamplingPoints(), Stripper::doPreCheck(), OptimizeCmd::execute(), SampleCmd::execute(), FieldSolver::FieldSolver(), Bend2D::findBendStrength(), ParallelTTracker::findStartPosition(), FM1DDynamic::FM1DDynamic(), FM1DProfile2::FM1DProfile2(), FM2DDynamic::FM2DDynamic(), FM2DElectroStatic::FM2DElectroStatic(), FM2DMagnetoStatic::FM2DMagnetoStatic(), FM3DDynamic::FM3DDynamic(), FM3DMagnetoStatic::FM3DMagnetoStatic(), FM3DMagnetoStaticExtended::FM3DMagnetoStaticExtended(), for_each(), Hypervolume::FromFile(), CmdArguments::getArg(), RFCavity::getAutoPhaseEstimateFallback(), OpalSimulation::getData(), TrackCmd::getDT(), RFCavity::getElementLength(), Astra1DDynamic_fast::getFieldstrength(), FM2DDynamic::getFieldstrength(), FM2DElectroStatic::getFieldstrength(), MultipoleTBase::getFnDerivS(), MultipoleT::getFnDerivS(), MultipoleTBase::getFnDerivX(), MultipoleT::getFnDerivX(), SDDS::SDDSParser::getInterpolatedValue(), CavityAutophaser::getPhaseAtMaxEnergy(), getQuaternion(), Bend2D::getSurfaceMesh(), Offset::getTheta(), RootFinderForCSR::hasPositiveRealRoots(), VariableRFCavity::initialise(), Mesher::isPointOnLine(), Quaternion::isPure(), Quaternion::isUnit(), SigmaGenerator::match(), Quaternion::normalize(), MapAnalyser::normalizeEigen_m(), FromFile::operator()(), MaxNormRadialPeak::operator()(), ProbeVariable::operator()(), RadialPeak::operator()(), SDDSVariable::operator()(), SumErrSq::operator()(), SumErrSqRadialPeak::operator()(), AntiSymTenzor< T, D >::AssignProxy::operator=(), AntiSymTenzor< T, 1 >::AssignProxy::operator=(), OrbitThreader::OrbitThreader(), mslang::Mask::parse_detail(), mslang::Polygon::parse_detail(), mslang::Repeat::parse_detail(), mslang::Rotation::parse_detail(), mslang::Shear::parse_detail(), mslang::Translation::parse_detail(), mslang::Ellipse::parse_detail(), mslang::Rectangle::parse_detail(), ManyMasterSplit< TopoDiscoveryStrategy >::parseArguments(), Pilot< Opt_t, Sim_t, SolPropagationGraph_t, Comm_t >::parseInputFile(), PETE_apply(), IndexedBareFieldIterator< T, Dim >::plugBase(), Astra1D_fast::readFieldData(), FM1DDynamic::readFileHeader(), FM1DDynamic_fast::readFileHeader(), FM1DElectroStatic::readFileHeader(), FM1DElectroStatic_fast::readFileHeader(), FM1DMagnetoStatic::readFileHeader(), FM1DMagnetoStatic_fast::readFileHeader(), Astra1DDynamic_fast::readFileHeader(), Astra1DElectroStatic_fast::readFileHeader(), Astra1DMagnetoStatic_fast::readFileHeader(), Astra1DDynamic::readMap(), Astra1DElectroStatic::readMap(), Astra1DMagnetoStatic::readMap(), FM1DProfile2::readMap(), RealConstant::RealConstant(), OrbitThreader::registerElement(), Util::rewindLinesSDDS(), OpalBeamline::save3DInput(), Distribution::setAttributes(), interpolation::ThreeDGrid::setConstantSpacing(), FlexibleCollimator::setDescription(), Cyclotron::setFMHighE(), Cyclotron::setFMLowE(), PartData::setP(), OpalSimulation::setupFSStructure(), AmrMultiGrid::smooth_m(), Astra1DDynamic_fast::stripFileHeader(), Astra1DElectroStatic_fast::stripFileHeader(), Astra1DMagnetoStatic_fast::stripFileHeader(), matt_boost::trace(), TrackCmd::TrackCmd(), OpalSplineTimeDependence::update(), ThickTracker::visitMultipole(), and ThickTracker::visitSBend().
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Rydberg's energy (Rydberg's constant times hc) in GeV.
Definition at line 63 of file Physics.h.
Referenced by BeamStrippingPhysics::computeCrossSectionNakai(), and BeamStrippingPhysics::computeCrossSectionTabata().
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The permittivity of vacuum in As/Vm.
Definition at line 51 of file Physics.h.
Referenced by CSRIGFWakeFunction::apply(), CSRWakeFunction::apply(), DistributionMoments::computeDebyeLength(), AmrBoxLib::computeSelfFields_cycl(), Distribution::emitParticles(), SigmaGenerator::initialize(), P3MPoissonSolver::P3MPoissonSolver(), TrackRun::setupCyclotronTracker(), TrackRun::setupThickTracker(), TrackRun::setupTTracker(), SigmaGenerator::SigmaGenerator(), AmrBoxLib::solvePoisson_m(), H5PartWrapperForPC::writeStepHeader(), and H5PartWrapperForPT::writeStepHeader().
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The reduced Planck constant in GeVs.
Definition at line 54 of file Physics.h.
Referenced by BeamStrippingPhysics::computeCrossSectionBohr(), and BeamStrippingPhysics::evalLorentzStripping().
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Boltzman's constant in eV/K.
Definition at line 60 of file Physics.h.
Referenced by BeamStrippingPhysics::computeCrossSection(), DistributionMoments::getTemperature(), Distribution::printEmissionModelNonEquil(), and Distribution::setupEmissionModelNonEquil().
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The alpha particle rest mass in GeV.
Definition at line 123 of file Physics.h.
Referenced by RealConstant::RealConstant().
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The carbon-12 (fully-stripped) rest mass in GeV.
Definition at line 105 of file Physics.h.
Referenced by RealConstant::RealConstant().
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The deuteron rest mass in GeV.
Definition at line 117 of file Physics.h.
Referenced by RealConstant::RealConstant().
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The electron rest mass in GeV.
Definition at line 78 of file Physics.h.
Referenced by Distribution::applyEmissModelNonEquil(), BeamStrippingPhysics::computeCrossSectionBohr(), BeamStrippingPhysics::computeCrossSectionNakai(), DistributionMoments::computeDebyeLength(), ScatteringPhysics::computeEnergyLoss(), BeamStrippingPhysics::evalLorentzStripping(), RealConstant::RealConstant(), and Distribution::setupEmissionModelNonEquil().
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The hydrogen atom rest mass in GeV.
Definition at line 126 of file Physics.h.
Referenced by BeamStrippingPhysics::computeCrossSectionNakai().
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The H2+ rest mass in GeV.
Definition at line 129 of file Physics.h.
Referenced by BeamStrippingPhysics::computeCrossSection(), and RealConstant::RealConstant().
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The H- rest mass in GeV.
Definition at line 108 of file Physics.h.
Referenced by BeamStrippingPhysics::computeCrossSection(), and RealConstant::RealConstant().
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The muon rest mass in GeV.
Definition at line 114 of file Physics.h.
Referenced by RealConstant::RealConstant().
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The proton rest mass in GeV.
Definition at line 90 of file Physics.h.
Referenced by BeamStrippingPhysics::computeCrossSection(), ScatteringPhysics::computeEnergyLoss(), RealConstant::RealConstant(), and Beam::update().
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The uranium-238 (fully-stripped) rest mass in GeV.
Definition at line 111 of file Physics.h.
Referenced by RealConstant::RealConstant().
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The xenon-129 (fully-stripped) rest mass in GeV.
Definition at line 120 of file Physics.h.
Referenced by RealConstant::RealConstant().
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The permeability of vacuum in Vs/Am.
Definition at line 48 of file Physics.h.
Referenced by SigmaGenerator::initialize(), FM2DDynamic::readMap(), FM3DDynamic::readMap(), and FM3DH5Block_nonscale::readMap().
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The value of.
\[ \pi \]
Definition at line 30 of file Physics.h.
Referenced by Cyclotron::apply(), CSRIGFWakeFunction::apply(), CSRWakeFunction::apply(), Ring::buildRingSections(), ParallelCyclotronTracker::bunchDumpPhaseSpaceData(), ParallelCyclotronTracker::bunchDumpStatData(), FixedFFTLowPassFilter::calc_derivative(), RelativeFFTLowPassFilter::calc_derivative(), Vacuum::checkPressure(), ScatteringPhysics::computeCoulombScattering(), BeamStrippingPhysics::computeCrossSectionBohr(), ScatteringPhysics::computeEnergyLoss(), FM1DDynamic_fast::computeFieldDerivatives(), FM1DElectroStatic_fast::computeFieldDerivatives(), FM1DMagnetoStatic_fast::computeFieldDerivatives(), FM1DDynamic::computeFieldOnAxis(), FM1DElectroStatic::computeFieldOnAxis(), FM1DMagnetoStatic::computeFieldOnAxis(), DistributionMoments::computePlasmaParameter(), ClosedOrbitFinder< Value_type, Size_type, Stepper >::computeTune(), ParallelCyclotronTracker::deleteParticle(), Distribution::emitParticles(), Bend2D::findIdealBendParameters(), RFCavity::getAutoPhaseEstimate(), TravelingWave::getAutoPhaseEstimate(), RFCavity::getAutoPhaseEstimateFallback(), SigmaGenerator::getEmittances(), Astra1DDynamic::getFieldDerivative(), FM1DDynamic::getFieldDerivative(), FM1DElectroStatic::getFieldDerivative(), FM1DMagnetoStatic::getFieldDerivative(), Astra1DDynamic::getFieldstrength(), Astra1DElectroStatic::getFieldstrength(), Astra1DMagnetoStatic::getFieldstrength(), CavityAutophaser::getPhaseAtMaxEnergy(), getQuaternion(), ParallelCyclotronTracker::getQuaternionTwoVectors(), Offset::getTheta(), ParallelCyclotronTracker::initDistInGlobalFrame(), RBend3D::initialise(), TravelingWave::initialise(), SigmaGenerator::initialize(), ParallelCyclotronTracker::initializeTracking_m(), ParallelCyclotronTracker::MtsTracker(), GreenWakeFunction::Wake::operator()(), CavityAutophaser::optimizeCavityPhase(), P3MPoissonSolver::P3MPoissonSolver(), OpalElement::printMultipoleStrength(), RealConstant::RealConstant(), TravelingWave::setPhasem(), TrackRun::setupCyclotronTracker(), TrackRun::setupThickTracker(), TrackRun::setupTTracker(), SigmaGenerator::SigmaGenerator(), H5PartWrapperForPC::writeStepHeader(), and H5PartWrapperForPT::writeStepHeader().
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The elementary charge in As.
Definition at line 69 of file Physics.h.
Referenced by Undulator::apply(), BeamStrippingPhysics::computeCrossSection(), DistributionMoments::computeDebyeLength(), PartBunch::computeSelfFields(), PartBunch::computeSelfFields_cycl(), Stripper::doCheck(), Distribution::emitParticles(), BeamStrippingPhysics::evalLorentzStripping(), Beam::getMassPerParticle(), ParticleProperties::getParticleChargeInCoulomb(), ParallelCyclotronTracker::kick(), LF2< FieldFunction, Arguments >::kick_m(), TrackRun::setupCyclotronTracker(), and Vacuum::updateParticleAttributes().
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The classical electron radius in m.
Definition at line 81 of file Physics.h.
Referenced by ScatteringPhysics::computeEnergyLoss().
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The value of.
\[2 \pi \]
Definition at line 33 of file Physics.h.
Referenced by Cyclotron::apply(), VariableRFCavity::apply(), VariableRFCavityFringeField::apply(), Distribution::applyEmissModelAstra(), Distribution::applyEmissModelNonEquil(), ScatteringPhysics::applyRandomRotation(), ScatteringPhysics::applyRotation(), Astra1DDynamic::Astra1DDynamic(), Astra1DDynamic_fast::Astra1DDynamic_fast(), ParallelCyclotronTracker::calculateAngle(), PartBunchBase< T, Dim >::calculateAngle(), Fieldmap::checkMap(), Vacuum::checkPressure(), ScatteringPhysics::computeCoulombScattering(), Astra1D_fast::computeFieldDerivatives(), FM1DDynamic_fast::computeFieldDerivatives(), FM1DElectroStatic_fast::computeFieldDerivatives(), FM1DMagnetoStatic_fast::computeFieldDerivatives(), FM1DDynamic::computeFieldOnAxis(), FM1DElectroStatic::computeFieldOnAxis(), FM1DMagnetoStatic::computeFieldOnAxis(), ClosedOrbitFinder< Value_type, Size_type, Stepper >::computeTune(), FM1DDynamic::convertHeaderData(), FM1DDynamic_fast::convertHeaderData(), ClosedOrbitFinder< Value_type, Size_type, Stepper >::findOrbitOfEnergy_m(), FM2DDynamic::FM2DDynamic(), FM3DDynamic::FM3DDynamic(), Distribution::generateBinomial(), Distribution::generateLongFlattopT(), RFCavity::getAutoPhaseEstimate(), TravelingWave::getAutoPhaseEstimate(), RFCavity::getAutoPhaseEstimateFallback(), MeshGenerator::getCylinder(), Astra1DDynamic::getFieldDerivative(), FM1DDynamic::getFieldDerivative(), FM1DElectroStatic::getFieldDerivative(), FM1DMagnetoStatic::getFieldDerivative(), Astra1DDynamic::getFieldstrength(), Astra1DElectroStatic::getFieldstrength(), Astra1DMagnetoStatic::getFieldstrength(), RFCavity::getMomentaKick(), Bend2D::getOutline(), CavityAutophaser::getPhaseAtMaxEnergy(), FM3DH5BlockBase::getResonanceFrequency(), Util::getTaitBryantAngles(), CavityAutophaser::guessCavityPhase(), RFCavity::initialise(), TravelingWave::initialise(), SigmaGenerator::initialize(), Bend2D::inMagnetCentralRegion(), CavityAutophaser::optimizeCavityPhase(), LOMB_class::period(), RealConstant::RealConstant(), Bend2D::setFieldCalcParam(), TravelingWave::setPhasem(), SigmaGenerator::SigmaGenerator(), OpalCavity::update(), OpalTravelingWave::update(), and mslang::Ellipse::writeGnuplot().
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The value of.
\[ \frac{1}{2} \pi \]
Definition at line 36 of file Physics.h.
Referenced by ClosedOrbitFinder< Value_type, Size_type, Stepper >::computeTune(), MapGenerator< Value_type, Size_type, Series_type, Map_type, Hamiltonian_type, Space_charge_type >::computeTunes(), and ClosedOrbitFinder< Value_type, Size_type, Stepper >::findOrbitOfEnergy_m().
1.9.3