Class Hierarchy

Go to the graphical class hierarchy

This inheritance list is sorted roughly, but not completely, alphabetically:

[detail level 1234]

Cdg::geo::aCylindricalFunctor< Derived >	Represent functions written in cylindrical coordinates that are independent of the angle phi serving as both 2d and 3d functions
►Cdg::geo::aCylindricalFunctor< BFieldP >
Cdg::geo::BFieldP	\( B^\varphi = R_0I/R^2\)
►Cdg::geo::aCylindricalFunctor< BFieldR >
Cdg::geo::BFieldR	\( B^R = R_0\psi_Z /R\)
►Cdg::geo::aCylindricalFunctor< BFieldT >
Cdg::geo::BFieldT	\( B^{\theta} = B^R\partial_R\theta + B^Z\partial_Z\theta\)
►Cdg::geo::aCylindricalFunctor< BFieldZ >
Cdg::geo::BFieldZ	\( B^Z = -R_0\psi_R /R\)
►Cdg::geo::aCylindricalFunctor< BHatP >
Cdg::geo::BHatP	\( \hat b^\varphi = B^\varphi/|B|\)
►Cdg::geo::aCylindricalFunctor< BHatPR >
Cdg::geo::BHatPR	\( \partial_R \hat b^\varphi\)
►Cdg::geo::aCylindricalFunctor< BHatPZ >
Cdg::geo::BHatPZ	\( \partial_Z \hat b^\varphi\)
►Cdg::geo::aCylindricalFunctor< BHatR >
Cdg::geo::BHatR	\( b^R = B^R/|B|\)
►Cdg::geo::aCylindricalFunctor< BHatRR >
Cdg::geo::BHatRR	\( \partial_R b^R\)
►Cdg::geo::aCylindricalFunctor< BHatRZ >
Cdg::geo::BHatRZ	\( \partial_Z b^R\)
►Cdg::geo::aCylindricalFunctor< BHatZ >
Cdg::geo::BHatZ	\( b^Z = B^Z/|B|\)
►Cdg::geo::aCylindricalFunctor< BHatZR >
Cdg::geo::BHatZR	\( \partial_R b^Z\)
►Cdg::geo::aCylindricalFunctor< BHatZZ >
Cdg::geo::BHatZZ	\( \partial_Z b^Z\)
►Cdg::geo::aCylindricalFunctor< Bmodule >
Cdg::geo::Bmodule	\( |B| = R_0\sqrt{I^2+(\nabla\psi)^2}/R \)
►Cdg::geo::aCylindricalFunctor< BR >
Cdg::geo::BR	\( \frac{\partial |B| }{ \partial R} \)
►Cdg::geo::aCylindricalFunctor< BZ >
Cdg::geo::BZ	\( \frac{\partial |B| }{ \partial Z} \)
►Cdg::geo::aCylindricalFunctor< Constant >
Cdg::geo::Constant	\( f(x,y) = c\)
►Cdg::geo::aCylindricalFunctor< CurvatureKappaR >
Cdg::geo::CurvatureKappaR	Approximate \( \mathcal{K}^{R}_{\vec{\kappa}}=0 \)
►Cdg::geo::aCylindricalFunctor< CurvatureKappaZ >
Cdg::geo::CurvatureKappaZ	Approximate \( \mathcal{K}^{Z}_{\vec{\kappa}} \)
►Cdg::geo::aCylindricalFunctor< CurvatureNablaBR >
Cdg::geo::CurvatureNablaBR	Approximate \( \mathcal{K}^{R}_{\nabla B} \)
►Cdg::geo::aCylindricalFunctor< CurvatureNablaBZ >
Cdg::geo::CurvatureNablaBZ	Approximate \( \mathcal{K}^{Z}_{\nabla B} \)
►Cdg::geo::aCylindricalFunctor< Divb >
Cdg::geo::Divb	\( \nabla \cdot \vec b \)
►Cdg::geo::aCylindricalFunctor< DivCurvatureKappa >
Cdg::geo::DivCurvatureKappa	Approximate \( \vec{\nabla}\cdot \mathcal{K}_{\vec{\kappa}} \)
►Cdg::geo::aCylindricalFunctor< DivCurvatureNablaB >
Cdg::geo::DivCurvatureNablaB	Approximate \( \vec{\nabla}\cdot \mathcal{K}_{\nabla B} \)
►Cdg::geo::aCylindricalFunctor< DivLiseikinX >
Cdg::geo::DivLiseikinX	The x-component of the divergence of the Liseikin monitor metric
►Cdg::geo::aCylindricalFunctor< DivLiseikinY >
Cdg::geo::DivLiseikinY	The y-component of the divergence of the Liseikin monitor metric
►Cdg::geo::aCylindricalFunctor< DivVVP >
Cdg::geo::DivVVP	\( \nabla\cdot\left( \frac{ \hat b }{\hat b^\varphi}\right)\)
►Cdg::geo::aCylindricalFunctor< GradLnB >
Cdg::geo::GradLnB	\( \nabla_\parallel \ln{(B)} \)
►Cdg::geo::aCylindricalFunctor< Hoo >
Cdg::geo::Hoo	Inertia factor \( \mathcal I_0 = B^2/(R_0^2|\nabla\psi_p|^2)\)
►Cdg::geo::aCylindricalFunctor< InvB >
Cdg::geo::InvB	\( |B|^{-1} = R/R_0\sqrt{I^2+(\nabla\psi)^2} \)
►Cdg::geo::aCylindricalFunctor< Ipol >
Cdg::geo::guenter::Ipol
Cdg::geo::solovev::Ipol
Cdg::geo::taylor::Ipol
►Cdg::geo::aCylindricalFunctor< IpolR >
Cdg::geo::guenter::IpolR
Cdg::geo::solovev::IpolR
Cdg::geo::taylor::IpolR
►Cdg::geo::aCylindricalFunctor< IpolZ >
Cdg::geo::guenter::IpolZ
Cdg::geo::solovev::IpolZ
Cdg::geo::taylor::IpolZ
►Cdg::geo::aCylindricalFunctor< LaplacePsip >
Cdg::geo::LaplacePsip	\( \Delta\psi_p = \psi_R/R + \psi_{RR}+\psi_{ZZ} \)
►Cdg::geo::aCylindricalFunctor< Liseikin_XX >
Cdg::geo::Liseikin_XX	The xx-component of the Liseikin monitor metric
►Cdg::geo::aCylindricalFunctor< Liseikin_XY >
Cdg::geo::Liseikin_XY	The xy-component of the Liseikin monitor metric
►Cdg::geo::aCylindricalFunctor< Liseikin_YY >
Cdg::geo::Liseikin_YY	The yy-component of the Liseikin monitor metric
►Cdg::geo::aCylindricalFunctor< LnB >
Cdg::geo::LnB	\( \ln{|B|} \)
►Cdg::geo::aCylindricalFunctor< NablaPsiInv >
Cdg::geo::NablaPsiInv	A weight function for the Hector algorithm
►Cdg::geo::aCylindricalFunctor< NablaPsiInvX >
Cdg::geo::NablaPsiInvX	Derivative of the weight function
►Cdg::geo::aCylindricalFunctor< NablaPsiInvY >
Cdg::geo::NablaPsiInvY	Derivative of the weight function
►Cdg::geo::aCylindricalFunctor< Periodify >
Cdg::geo::Periodify	This function uses the dg::Grid2d::shift member to extend another function beyond the grid boundaries
►Cdg::geo::aCylindricalFunctor< Psip >
Cdg::geo::circular::Psip
Cdg::geo::guenter::Psip
Cdg::geo::mod::Psip	\( \psi_{mod} := \begin{cases} H(\psi_p(R,Z))\text{ for } P(R,Z) \\ \psi_p(R,Z) \text { else } \end{cases} \)
Cdg::geo::polynomial::Psip	\( \psi_p(R,Z) = R_0P_{\psi}\Bigg\{ \sum_i \sum_j c_{i*N+j} \bar R^i \bar Z^j \Bigg\} \)
Cdg::geo::solovev::Psip
Cdg::geo::taylor::Psip
►Cdg::geo::aCylindricalFunctor< PsipR >
Cdg::geo::circular::PsipR
Cdg::geo::guenter::PsipR
Cdg::geo::mod::PsipR
Cdg::geo::polynomial::PsipR
Cdg::geo::solovev::PsipR
Cdg::geo::taylor::PsipR
►Cdg::geo::aCylindricalFunctor< PsipRR >
Cdg::geo::guenter::PsipRR
Cdg::geo::mod::PsipRR
Cdg::geo::polynomial::PsipRR
Cdg::geo::solovev::PsipRR
Cdg::geo::taylor::PsipRR
►Cdg::geo::aCylindricalFunctor< PsipRZ >
Cdg::geo::guenter::PsipRZ
Cdg::geo::mod::PsipRZ
Cdg::geo::polynomial::PsipRZ
Cdg::geo::solovev::PsipRZ
Cdg::geo::taylor::PsipRZ
►Cdg::geo::aCylindricalFunctor< PsipZ >
Cdg::geo::circular::PsipZ
Cdg::geo::guenter::PsipZ
Cdg::geo::mod::PsipZ
Cdg::geo::polynomial::PsipZ
Cdg::geo::solovev::PsipZ
Cdg::geo::taylor::PsipZ
►Cdg::geo::aCylindricalFunctor< PsipZZ >
Cdg::geo::guenter::PsipZZ
Cdg::geo::mod::PsipZZ
Cdg::geo::polynomial::PsipZZ
Cdg::geo::solovev::PsipZZ
Cdg::geo::taylor::PsipZZ
►Cdg::geo::aCylindricalFunctor< RhoP >
Cdg::geo::RhoP
►Cdg::geo::aCylindricalFunctor< ScalarProduct >
Cdg::geo::ScalarProduct	Return scalar product of two vector fields \( v_0w_0 + v_1w_1 + v_2w_2\)
►Cdg::geo::aCylindricalFunctor< SetCompose >
Cdg::geo::mod::SetCompose	\( f( f_1(R,Z) , f_2(R,Z)) \)
►Cdg::geo::aCylindricalFunctor< SetIntersection >
Cdg::geo::mod::SetIntersection	\( f_1 f_2 \equiv f_1 \cap f_2\)
►Cdg::geo::aCylindricalFunctor< SetNot >
Cdg::geo::mod::SetNot	\( 1-f \equiv \bar f\)
►Cdg::geo::aCylindricalFunctor< SetUnion >
Cdg::geo::mod::SetUnion	\( f_1 + f_2 - f_1 f_2 \equiv f_1 \cup f_2\)
►Cdg::geo::aCylindricalFunctor< SquareNorm >
Cdg::geo::SquareNorm	Return norm of scalar product of two vector fields \( \sqrt{v_0w_0 + v_1w_1 + v_2w_2}\)
►Cdg::geo::aCylindricalFunctor< TrueCurvatureKappaP >
Cdg::geo::TrueCurvatureKappaP	True \( \mathcal{K}^\varphi_{\vec{\kappa}} \)
►Cdg::geo::aCylindricalFunctor< TrueCurvatureKappaR >
Cdg::geo::TrueCurvatureKappaR	True \( \mathcal{K}^R_{\vec{\kappa}} \)
►Cdg::geo::aCylindricalFunctor< TrueCurvatureKappaZ >
Cdg::geo::TrueCurvatureKappaZ	True \( \mathcal{K}^Z_{\vec{\kappa}} \)
►Cdg::geo::aCylindricalFunctor< TrueCurvatureNablaBP >
Cdg::geo::TrueCurvatureNablaBP	True \( \mathcal{K}^{\varphi}_{\nabla B} \)
►Cdg::geo::aCylindricalFunctor< TrueCurvatureNablaBR >
Cdg::geo::TrueCurvatureNablaBR	True \( \mathcal{K}^{R}_{\nabla B} \)
►Cdg::geo::aCylindricalFunctor< TrueCurvatureNablaBZ >
Cdg::geo::TrueCurvatureNablaBZ	True \( \mathcal{K}^{Z}_{\nabla B} \)
►Cdg::geo::aCylindricalFunctor< TrueDivCurvatureKappa >
Cdg::geo::TrueDivCurvatureKappa	True \( \vec{\nabla}\cdot \mathcal{K}_{\vec{\kappa}} \)
►Cdg::geo::aCylindricalFunctor< TrueDivCurvatureNablaB >
Cdg::geo::TrueDivCurvatureNablaB	True \( \vec{\nabla}\cdot \mathcal{K}_{\nabla B} \)
►Cdg::geo::aCylindricalFunctor< WallDirection >
Cdg::geo::WallDirection	Determine if poloidal field points towards or away from the nearest wall
►Cdg::geo::aCylindricalFunctor< WallFieldlineCoordinate >
Cdg::geo::WallFieldlineCoordinate	Normalized coordinate relative to wall along fieldline in phi or s coordinate
Cdg::geo::WallFieldlineCoordinate	Normalized coordinate relative to wall along fieldline in phi or s coordinate
Cdg::geo::WallFieldlineCoordinate	Normalized coordinate relative to wall along fieldline in phi or s coordinate
►Cdg::geo::aCylindricalFunctor< WallFieldlineDistance >
Cdg::geo::WallFieldlineDistance	Distance to wall along fieldline in phi or s coordinate
Cdg::geo::WallFieldlineDistance	Distance to wall along fieldline in phi or s coordinate
Cdg::geo::WallFieldlineDistance	Distance to wall along fieldline in phi or s coordinate
►Cdg::geo::aCylindricalFunctor< ZCutter >
Cdg::geo::ZCutter	\( f(R,Z)= \begin{cases} 0 \text{ if } Z < Z_X \\ 1 \text{ else } \end{cases} \)
►Cdg::geo::aRealGenerator2d< real_type >	The abstract generator base class
Cdg::geo::DSPGenerator	A transformed field grid generator
Cdg::geo::FluxGenerator	A symmetry flux generator
Cdg::geo::Hector< IMatrix, Matrix, container >	The High PrEcision Conformal grid generaTOR
Cdg::geo::LogPolarGenerator	Log Polar coordinates (conformal)
Cdg::geo::PolarGenerator	Polar coordinates
Cdg::geo::Ribeiro	A two-dimensional grid based on "almost-conformal" coordinates by Ribeiro and Scott 2010
Cdg::geo::RibeiroFluxGenerator	Same as the Ribeiro class just but uses psi as a flux label directly
Cdg::geo::SeparatrixOrthogonalAdaptor	An Adaptor to use SeparatrixOrthogonal as aGenerator2d instead of aGeneratorX2d
Cdg::geo::SimpleOrthogonal	Generate a simple orthogonal grid
►Cdg::geo::aRealGeneratorX2d< real_type >	The abstract generator base class
Cdg::geo::RibeiroX	A two-dimensional grid based on "almost-conformal" coordinates by Ribeiro and Scott 2010
Cdg::geo::SeparatrixOrthogonal	Choose points on separatrix and construct grid from there
►Cdg::aRealMPITopology2d< class real_type > [external]
►Cdg::aRealMPIGeometry2d< real_type > [external]
Cdg::geo::RealCurvilinearMPIGrid2d< real_type >	A two-dimensional MPI grid based on curvilinear coordinates
►Cdg::aRealMPITopology3d< class real_type > [external]
►Cdg::aRealMPIGeometry3d< class real_type > [external]
►Cdg::aRealProductMPIGeometry3d< real_type > [external]
Cdg::geo::RealCurvilinearProductMPIGrid3d< real_type >	A 2x1 curvilinear product space MPI grid
►Cdg::aRealTopology2d< class real_type > [external]
►Cdg::aRealGeometry2d< real_type > [external]
Cdg::geo::RealCurvilinearGrid2d< real_type >	A two-dimensional grid based on curvilinear coordinates
►Cdg::aRealGeometry2d< double > [external]
Cdg::geo::RealCurvilinearGrid2d< double >
►Cdg::aRealTopology3d< class real_type > [external]
►Cdg::aRealGeometry3d< class real_type > [external]
►Cdg::aRealProductGeometry3d< real_type > [external]
Cdg::geo::RealCurvilinearProductGrid3d< real_type >	A 2x1 curvilinear product space grid
►Cdg::aRealTopologyX2d< class real_type > [external]
►Cdg::aRealGeometryX2d< real_type > [external]
Cdg::geo::RealCurvilinearGridX2d< real_type >	A two-dimensional grid based on curvilinear coordinates
Cdg::geo::RealCurvilinearRefinedGridX2d< real_type >	A two-dimensional grid based on curvilinear coordinates
►Cdg::aRealTopologyX3d< class real_type > [external]
►Cdg::aRealGeometryX3d< real_type > [external]
Cdg::geo::RealCurvilinearProductGridX3d< real_type >	A three-dimensional grid based on curvilinear coordinates
Cdg::geo::RealCurvilinearRefinedProductGridX3d< real_type >	A three-dimensional grid based on curvilinear coordinates
Cdg::geo::CylindricalFunctorsLvl1	This struct bundles a function and its first derivatives
Cdg::geo::CylindricalFunctorsLvl2	This struct bundles a function and its first and second derivatives
Cdg::geo::CylindricalSymmTensorLvl1
Cdg::geo::CylindricalVectorLvl0
Cdg::geo::CylindricalVectorLvl1	This struct bundles a vector field and its divergence
Cdg::geo::DS< ProductGeometry, IMatrix, Matrix, container >	Class for the evaluation of parallel derivatives
Cdg::geo::Fieldaligned< ProductGeometry, IMatrix, container >	Create and manage interpolation matrices from fieldline integration
Cdg::geo::FluxSurfaceAverage< container >	Flux surface average (differential volume average) over quantity \( \langle f\rangle(\psi_0) = \frac{1}{A} \int dR dZ \delta(\psi_p(R,Z)-\psi_0) f(R,Z)H(R,Z) \)
Cdg::geo::FluxSurfaceIntegral< container >	Flux surface integral of the form \( \int dR dZ f(R,Z) \delta(\psi_p(R,Z)-\psi_0) g(R,Z) \)
Cdg::geo::FluxSurfaceIntegral< thrust::host_vector< double > >
Cdg::geo::FluxVolumeIntegral< container >	Flux volume integral of the form \( \int dR dZ f(R,Z) \Theta(\psi_p(R,Z)-\psi_0) g(R,Z) \)
Cdg::geo::MagneticFieldParameters	Meta-data about the magnetic field in particular the flux function
Cdg::geo::polynomial::Parameters	Constructs and display geometric parameters for the polynomial fields
Cdg::geo::solovev::Parameters	Constructs and display geometric parameters for the solovev and taylor fields
Cdg::geo::RealCylindricalFunctor< real_type >	Inject both 2d and 3d operator() to a 2d functor
Cdg::geo::RealCylindricalFunctor< double >
Cdg::geo::SafetyFactor	Evaluation of the safety factor q based on direct integration of \( q(\psi_0) = \frac{1}{2\pi} \int d\Theta \frac{B^\varphi}{B^\Theta} \)
Cdg::geo::SafetyFactorAverage	Class for the evaluation of the safety factor q based on a flux-surface integral \( q(\psi_0) = \frac{1}{2\pi} \int dRdZ \frac{I(\psi_p)}{R} \delta(\psi_p - \psi_0)H(R,Z) \)
Cdg::geo::TokamakMagneticField	A tokamak field as given by R0, Psi and Ipol plus Meta-data like shape and equilibrium
Cdg::geo::Topology1d	Helper class for construction