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       1           1 : // Distributed under the MIT License.
       2             : // See LICENSE.txt for details.
       3             : 
       4             : /// \file
       5             : /// Defines all group definitions
       6             : 
       7             : #pragma once
       8             : 
       9             : /*!
      10             :  * \defgroup ActionsGroup Actions
      11             :  * \brief A collection of steps used in algorithms.
      12             :  */
      13             : 
      14             : /*!
      15             :  * \defgroup AderGroup ADER
      16             :  * \brief Functions and classes needed for ADER (Arbitrary high-order using
      17             :  * DERivatives) time integration
      18             :  */
      19             : 
      20             : /*!
      21             :  * \defgroup AmrGroup Adaptive Mesh Refinement
      22             :  * \brief Functions and classes specific to hp-adaptive mesh refinement.
      23             :  */
      24             : 
      25             : /*!
      26             :  * \defgroup AnalyticDataGroup Analytic Data
      27             :  * \brief Analytic data used to specify (for example) initial data to the
      28             :  * equations implemented in \ref EvolutionSystemsGroup.
      29             :  */
      30             : 
      31             : /*!
      32             :  * \defgroup AnalyticSolutionsGroup Analytic Solutions
      33             :  * \brief Analytic solutions to the equations implemented in \ref
      34             :  * EvolutionSystemsGroup and \ref EllipticSystemsGroup.
      35             :  */
      36             : 
      37             : /*!
      38             :  * \defgroup BoundaryConditionsGroup Boundary Conditions
      39             :  * A collection of boundary conditions used for evolutions.
      40             :  */
      41             : 
      42             : /*!
      43             :  * \defgroup CharmExtensionsGroup Charm++ Extensions
      44             :  * \brief Classes and functions used to make Charm++ easier and safer to use.
      45             :  */
      46             : 
      47             : /*!
      48             :  * \defgroup ComputationalDomainGroup  Computational Domain
      49             :  * \brief The building blocks used to describe the computational domain.
      50             :  *
      51             :  * ### Description
      52             :  * The VolumeDim-dimensional computational Domain is constructed from a set of
      53             :  * non-overlapping Block%s.  Each Block is a distorted VolumeDim-dimensional
      54             :  * hypercube.  Each codimension-1 boundary of a Block is either part of the
      55             :  * external boundary of the computational domain, or is identical to a boundary
      56             :  * of one other Block.  Each Block is subdivided into one or more Element%s
      57             :  * that may be changed dynamically if AMR is enabled.
      58             :  */
      59             : 
      60             : /*!
      61             :  * \defgroup ConservativeGroup Conservative System Evolution
      62             :  * \brief Contains generic functions used for evolving conservative
      63             :  * systems.
      64             :  */
      65             : 
      66             : /*!
      67             :  * \defgroup ConstantExpressionsGroup Constant Expressions
      68             :  * \brief Contains an assortment of constexpr functions
      69             :  *
      70             :  * ### Description
      71             :  * Contains an assortment of constexpr functions that are useful for
      72             :  * metaprogramming, or efficient mathematical computations, such as
      73             :  * exponentiating to an integer power, where the power is known at compile
      74             :  * time.
      75             :  */
      76             : 
      77             : /*!
      78             :  * \defgroup ControlSystemGroup Control System
      79             :  * \brief Contains control system elements
      80             :  *
      81             :  * The control system manages the time-dependent mapping between frames, such as
      82             :  * the fixed computational frame (grid frame) and the inertial frame. The
      83             :  * time-dependent parameters of the mapping are adjusted by a feedback control
      84             :  * system in order to follow the dynamical evolution of objects such as horizons
      85             :  * of black holes or surfaces of neutron stars. For example, in binary black
      86             :  * hole simulations the map is typically a composition of maps that include
      87             :  * translation, rotation, scaling, shape, etc.
      88             :  * Each map under the governance of the control system has an associated
      89             :  * time-dependent map parameter \f$\lambda(t)\f$ that is a piecewise Nth order
      90             :  * polynomial. At discrete times (called reset times), the control system resets
      91             :  * the Nth time derivative of \f$\lambda(t)\f$ to a new constant value, in order
      92             :  * to minimize an error function \f$Q(t)\f$ that is specific to each map. At
      93             :  * each reset time, the Nth derivative of \f$\lambda(t)\f$ is set to a function
      94             :  * \f$U(t)\f$, called the control signal, that is determined by \f$Q(t)\f$ and
      95             :  * its time derivatives and time integral. Note that \f$\lambda(t)\f$,
      96             :  * \f$U(t)\f$, and \f$Q(t)\f$ can be vectors.
      97             :  *
      98             :  * The key components of the control system are:
      99             :  * - FunctionsOfTime: each map has an associated FunctionOfTime that represents
     100             :  *   the map parameter \f$\lambda(t)\f$ and relevant time derivatives.
     101             :  * - ControlError: each map has an associated ControlError that computes
     102             :  *   the error, \f$Q(t)\f$. Note that for each map, \f$Q(t)\f$ is defined to
     103             :  *   follow the convention that \f$dQ = -d \lambda\f$ as \f$Q \rightarrow 0\f$.
     104             :  * - Averager: an averager can be used to average out the noise in the 'raw'
     105             :  *   \f$Q(t)\f$ returned by the ControlError.
     106             :  * - Controller: the map controller computes the control signal \f$U(t)\f$ from
     107             :  *   \f$Q(t)\f$ and its time integral and time derivatives.
     108             :  *   The control is accomplished by setting the Nth derivative of
     109             :  *   \f$\lambda(t)\f$ to \f$U(t)\f$. Two common controllers are PID
     110             :  *   (proportional/integral/derivative)
     111             :  *   \f[U(t) = a_{0}\int_{t_{0}}^{t} Q(t') dt'+a_{1}Q(t)+a_{2}\frac{dQ}{dt}\f]
     112             :  *   or
     113             :  *   PND (proportional/N derivatives)
     114             :  *   \f[ U(t) = \sum_{k=0}^{N} a_{k} \frac{d^kQ}{dt^k} \f]
     115             :  *   The coefficients \f$ a_{k} \f$ in the computation of \f$U(t)\f$ are chosen
     116             :  *   at each time such that the error \f$Q(t)\f$ will be critically damped
     117             :  *   on a timescale of \f$\tau\f$ (the damping time),
     118             :  *   i.e. \f$Q(t) \propto e^{-t/\tau}\f$.
     119             :  * - TimescaleTuner: each map has a TimescaleTuner that dynamically adjusts
     120             :  *   the damping timescale \f$\tau\f$ appropriately to keep the error \f$Q(t)\f$
     121             :  *   within some specified error bounds. Note that the reset time interval,
     122             :  *   \f$\Delta t\f$, is a constant fraction of this damping timescale,
     123             :  *   i.e. \f$\Delta t = \alpha \tau\f$ (empirically, we have found
     124             :  *   \f$\alpha=0.3\f$ to be a good choice).
     125             :  *
     126             :  *
     127             :  * For additional details describing our control system approach, see
     128             :  * \cite Hemberger2012jz.
     129             :  */
     130             : 
     131             : /*!
     132             :  * \defgroup CoordinateMapsGroup  Coordinate Maps
     133             :  * \brief Functions for mapping coordinates between different frames
     134             :  *
     135             :  * Coordinate maps provide the maps themselves, the inverse maps, along
     136             :  * with the Jacobian and inverse Jacobian of the maps.
     137             :  */
     138             : 
     139             : /*!
     140             :  * \defgroup CoordMapsTimeDependentGroup  Coordinate Maps, Time-dependent
     141             :  * \brief Functions for mapping time-dependent coordinates between different
     142             :  * frames
     143             :  *
     144             :  * Coordinate maps provide the maps themselves, the inverse maps, the Jacobian
     145             :  * and inverse Jacobian of the maps, and the frame velocity (time derivative of
     146             :  * the map)
     147             :  */
     148             : 
     149             : /*!
     150             :  * \defgroup DataBoxGroup DataBox
     151             :  * \brief Documentation, functions, metafunctions, and classes necessary for
     152             :  * using DataBox
     153             :  *
     154             :  * DataBox is a heterogeneous compile-time associative container with lazy
     155             :  * evaluation of functions. DataBox can not only store data, but can also store
     156             :  * functions that depend on other data inside the DataBox. The functions will be
     157             :  * evaluated when the data they return is requested. The result is cached, and
     158             :  * if a dependency of the function is modified the cache is invalidated.
     159             :  *
     160             :  * #### Simple and Compute Tags and Their Items
     161             :  *
     162             :  * The compile-time keys are `struct`s called tags, while the values are called
     163             :  * items. Tags are quite minimal, containing only the information necessary to
     164             :  * store the data and evaluate functions. There are two different types of tags
     165             :  * that a DataBox can hold: simple tags and compute tags. Simple tags are for
     166             :  * data that is inserted into the DataBox at the time of creation, while compute
     167             :  * tags are for data that will be computed from a function when the compute item
     168             :  * is retrieved. If a compute item is never retrieved from the DataBox then it
     169             :  * is never evaluated.
     170             :  *
     171             :  * Simple tags must have a member type alias `type` that is the type of the data
     172             :  * to be stored and a `static std::string name()` method that returns the name
     173             :  * of the tag. Simple tags must inherit from `db::SimpleTag`.
     174             :  *
     175             :  * Compute tags must also have a `static std::string name()` method that returns
     176             :  * the name of the tag, but they cannot have a `type` type alias. Instead,
     177             :  * compute tags must have a static member function or static member function
     178             :  * pointer named `function`. `function` can be a function template if necessary.
     179             :  * The `function` must take all its arguments by `const` reference. The
     180             :  * arguments to the function are retrieved using tags from the DataBox that the
     181             :  * compute tag is in. The tags for the arguments are set in the member type
     182             :  * alias `argument_tags`, which must be a `tmpl::list` of the tags corresponding
     183             :  * to each argument. Note that the order of the tags in the `argument_list` is
     184             :  * the order that they will be passed to the function. Compute tags must inherit
     185             :  * from `db::ComputeTag`.
     186             :  *
     187             :  * Here is an example of a simple tag:
     188             :  *
     189             :  * \snippet Test_DataBox.cpp databox_tag_example
     190             :  *
     191             :  * and an example of a compute tag with a function pointer:
     192             :  *
     193             :  * \snippet Test_DataBox.cpp databox_mutating_compute_item_tag
     194             :  *
     195             :  * If the compute item's tag is inline then the compute item is of the form:
     196             :  *
     197             :  * \snippet Test_DataBox.cpp compute_item_tag_function
     198             :  *
     199             :  * Compute tags can also have their functions be overloaded on the type of its
     200             :  * arguments:
     201             :  *
     202             :  * \snippet Test_DataBox.cpp overload_compute_tag_type
     203             :  *
     204             :  * or be overloaded on the number of arguments:
     205             :  *
     206             :  * \snippet Test_DataBox.cpp overload_compute_tag_number_of_args
     207             :  *
     208             :  * Compute tag function templates are implemented as follows:
     209             :  *
     210             :  * \snippet Test_DataBox.cpp overload_compute_tag_template
     211             :  *
     212             :  * Finally, overloading, function templates, and variadic functions can be
     213             :  * combined to produce extremely generic compute tags. The below compute tag
     214             :  * takes as template parameters a parameter pack of integers, which is used to
     215             :  * specify several of the arguments. The function is overloaded for the single
     216             :  * argument case, and a variadic function template is provided for the multiple
     217             :  * arguments case. Note that in practice few compute tags will be this complex.
     218             :  *
     219             :  * #### Subitems and Prefix Tags
     220             :  *
     221             :  * A simple or compute tag might also hold a collection of data, such as a
     222             :  * container of `Tensor`s. In many cases you will want to be able to retrieve
     223             :  * individual elements of the collection from the DataBox without having to
     224             :  * first retrieve the collection. The infrastructure that allows for this is
     225             :  * called *Subitems*. The subitems of the parent tag must refer to a subset of
     226             :  * the data inside the parent tag, e.g. one `Tensor` in the collection. If the
     227             :  * parent tag is `Parent` and the subitems tags are `Sub<0>, Sub<1>`, then when
     228             :  * `Parent` is added to the DataBox, so are `Sub<0>` and `Sub<1>`. This means
     229             :  * the retrieval mechanisms described below will work on `Parent`, `Sub<0>`, and
     230             :  * `Sub<1>`.
     231             :  *
     232             :  * Subitems specify requirements on the tags they act on. For example, there
     233             :  * could be a requirement that all tags with a certain type are to be treated as
     234             :  * a Subitems. Let's say that the `Parent` tag holds a `Variables`, and
     235             :  * `Variables` can be used with the Subitems infrastructure to add the nested
     236             :  * `Tensor`s. Then all tags that hold a `Variables` will have their subitems
     237             :  * added into the DataBox. To add a new type as a subitem the `db::Subitems`
     238             :  * struct must be specialized. See the documentation of `db::Subitems` for more
     239             :  * details.
     240             :  *
     241             :  * The DataBox also supports *prefix tags*, which are commonly used for items
     242             :  * that are related to a different item by some operation. Specifically, say
     243             :  * you have a tag `MyTensor` and you want to also have the time derivative of
     244             :  * `MyTensor`, then you can use the prefix tag `dt` to get `dt<MyTensor>`. The
     245             :  * benefit of a prefix tag over, say, a separate tag `dtMyTensor` is that prefix
     246             :  * tags can be added and removed by the compute tags acting on the original tag.
     247             :  * Prefix tags can also be composed, so a second time derivative would be
     248             :  * `dt<dt<MyTensor>>`. The net result of the prefix tags infrastructure is that
     249             :  * the compute tag that returns `dt<MyTensor>` only needs to know its input
     250             :  * tags, it knows how to name its output based off that. In addition to the
     251             :  * normal things a simple or a compute tag must hold, prefix tags must have a
     252             :  * nested type alias `tag`, which is the tag being prefixed. Prefix tags must
     253             :  * also inherit from `db::PrefixTag` in addition to inheriting from
     254             :  * `db::SimpleTag` or `db::ComputeTag`.
     255             :  *
     256             :  * #### Creating a DataBox
     257             :  *
     258             :  * You should never call the constructor of a DataBox directly. DataBox
     259             :  * construction is quite complicated and the helper function `db::create`
     260             :  * should be used instead. `db::create` is used to construct a
     261             :  * new DataBox. It takes two typelists as explicit template parameters, the
     262             :  * first being a list of the simple tags to add and the second being a list of
     263             :  * compute tags to add. If no compute tags are being added then only the simple
     264             :  * tags list must be specified. The tags lists should be passed as
     265             :  * `db::create<db::AddSimpleTags<simple_tags...>,
     266             :  * db::AddComputeTags<compute_tags...>>`. The arguments to `db::create` are the
     267             :  * initial values of the simple tags and must be passed in the same order as the
     268             :  * tags in the `db::AddSimpleTags` list. If the type of an argument passed to
     269             :  * `db::create` does not match the type of the corresponding simple tag a static
     270             :  * assertion will trigger. Here is an example of how to use `db::create`:
     271             :  *
     272             :  * \snippet Test_DataBox.cpp create_databox
     273             :  *
     274             :  * #### Accessing and Mutating Items
     275             :  *
     276             :  * To retrieve an item from a DataBox use the `db::get` function. `db::get`
     277             :  * will always return a `const` reference to the object stored in the DataBox
     278             :  * and will also have full type information available. This means you are able
     279             :  * to use `const auto&` when retrieving tags from the DataBox. For example,
     280             :  * \snippet Test_DataBox.cpp using_db_get
     281             :  *
     282             :  * If you want to mutate the value of a simple item in the DataBox use
     283             :  * `db::mutate`. Any compute item that depends on the mutated item will have its
     284             :  * cached value invalidated and be recomputed the next time it is retrieved from
     285             :  * the DataBox. `db::mutate` takes a parameter pack of tags to mutate as
     286             :  * explicit template parameters, a `gsl::not_null` of the DataBox whose items
     287             :  * will be mutated, an invokable, and extra arguments to forward to the
     288             :  * invokable. The invokable takes the arguments passed from the DataBox by
     289             :  * `const gsl::not_null` while the extra arguments are forwarded to the
     290             :  * invokable. The invokable is not allowed to retrieve anything from the
     291             :  * DataBox, so any items must be passed as extra arguments using `db::get` to
     292             :  * retrieve them. For example,
     293             :  *
     294             :  * \snippet Test_DataBox.cpp databox_mutate_example
     295             :  *
     296             :  * In addition to retrieving items using `db::get` and mutating them using
     297             :  * `db::mutate`, there is a facility to invoke an invokable with tags from the
     298             :  * DataBox. `db::apply` takes a `tmpl::list` of tags as an explicit template
     299             :  * parameter, will retrieve all the tags from the DataBox passed in and then
     300             :  * invoke the  invokable with the items in the tag list. Similarly,
     301             :  * `db::mutate_apply` invokes the invokable but allows for mutating some of
     302             :  * the tags. See the documentation of `db::apply` and `db::mutate_apply` for
     303             :  * examples of how to use them.
     304             :  *
     305             :  */
     306             : 
     307             : /*!
     308             :  * \defgroup DataBoxTagsGroup DataBox Tags
     309             :  * \brief Structures and metafunctions for labeling the contents of DataBoxes
     310             :  */
     311             : 
     312             : /*!
     313             :  * \defgroup DataStructuresGroup Data Structures
     314             :  * \brief Various useful data structures used in SpECTRE
     315             :  */
     316             : 
     317             : /*!
     318             :  * \defgroup DgSubcellGroup DG-Subcell
     319             :  * \brief Functions and classes specific to the discontinuous Galerkin method
     320             :  * supplemented with a finite volume or finite difference subcell limiter. Can
     321             :  * also be thought of as a DG-FD hybrid method.
     322             :  */
     323             : 
     324             : /*!
     325             :  * \defgroup DiscontinuousGalerkinGroup Discontinuous Galerkin
     326             :  * \brief Functions and classes specific to the Discontinuous Galerkin
     327             :  * algorithm.
     328             :  */
     329             : 
     330             : /*!
     331             :  * \defgroup EllipticSystemsGroup Elliptic Systems
     332             :  * \brief All available elliptic systems
     333             :  */
     334             : 
     335             : /*!
     336             :  * \defgroup EquationsOfStateGroup Equations of State
     337             :  * \brief The various available equations of state
     338             :  */
     339             : 
     340             : /*!
     341             :  * \defgroup ErrorHandlingGroup Error Handling
     342             :  * Macros and functions used for handling errors
     343             :  */
     344             : 
     345             : /*!
     346             :  * \defgroup EventsAndTriggersGroup Events and Triggers
     347             :  * \brief Classes and functions related to events and triggers
     348             :  */
     349             : 
     350             : /*!
     351             :  * \defgroup EvolutionSystemsGroup Evolution Systems
     352             :  * \brief All available evolution systems and information on how to implement
     353             :  * evolution systems
     354             :  *
     355             :  * \details Actions and parallel components may require an evolution system to
     356             :  * expose the following types:
     357             :  *
     358             :  * - `volume_dim`: The number of spatial dimensions
     359             :  * - `variables_tag`: The evolved variables to compute DG volume contributions
     360             :  * and fluxes for.
     361             :  * - `compute_time_derivative`: A struct that computes the bulk contribution to
     362             :  * the DG discretization of the time derivative. Must expose a `tmpl::list` of
     363             :  * `argument_tags` and a static `apply` function that takes the following
     364             :  * arguments in this order:
     365             :  *   - First, the types of the tensors in
     366             :  * `db::add_tag_prefix<Metavariables::temporal_id::step_prefix, variables_tag>`
     367             :  * (which represent the time derivatives of the variables) as not-null pointers.
     368             :  *   - The types of the `argument_tags` as constant references.
     369             :  *
     370             :  * Actions and parallel components may also require the Metavariables to expose
     371             :  * the following types:
     372             :  *
     373             :  * - `system`: See above.
     374             :  * - `temporal_id`: A DataBox tag that identifies steps in the algorithm.
     375             :  * Generally use `Tags::TimeStepId`.
     376             :  */
     377             : 
     378             : /*!
     379             :  * \defgroup ExecutablesGroup Executables
     380             :  * \brief A list of executables and how to use them
     381             :  *
     382             :  * <table class="doxtable">
     383             :  * <tr>
     384             :  * <th>Executable Name </th><th>Description </th>
     385             :  * </tr>
     386             :  * <tr>
     387             :  * <td> \ref ParallelInfoExecutablePage "ParallelInfo" </td>
     388             :  * <td> Executable for checking number of nodes, cores, etc.</td>
     389             :  * </tr>
     390             :  * <tr>
     391             :  * <td> ExportEquationOfStateForRotNS </td>
     392             :  * <td> Exports a 1d equation of state in a table format that the RotNS fortran
     393             :  * code can read in.</td>
     394             :  * </tr>
     395             :  * </table>
     396             :  */
     397             : 
     398             : /*!
     399             :  * \defgroup FileSystemGroup File System
     400             :  * \brief A light-weight file system library.
     401             :  */
     402             : 
     403             : /*!
     404             :  * \defgroup FiniteDifferenceGroup Finite Difference
     405             :  * \brief Functions needed for (conservative) finite difference methods.
     406             :  */
     407             : 
     408             : /*!
     409             :  * \defgroup GeneralRelativityGroup General Relativity
     410             :  * \brief Contains functions used in General Relativistic simulations
     411             :  */
     412             : 
     413             : /*!
     414             :  * \defgroup HDF5Group HDF5
     415             :  * \brief Functions and classes for manipulating HDF5 files
     416             :  */
     417             : 
     418             : /*!
     419             :  * \defgroup InitializationGroup Initialization
     420             :  * \brief Actions and metafunctions used for initialization of parallel
     421             :  * components.
     422             :  */
     423             : 
     424             : /*!
     425             :  * \defgroup LimitersGroup Limiters
     426             :  * \brief Limiters to control shocks and surfaces in the solution.
     427             :  */
     428             : 
     429             : /*!
     430             :  * \defgroup LinearSolverGroup  Linear Solver
     431             :  * \brief Algorithms to solve linear systems of equations
     432             :  *
     433             :  * \details In a way, the linear solver is for elliptic systems what time
     434             :  * stepping is for the evolution code. This is because the DG scheme for an
     435             :  * elliptic system reduces to a linear system of equations of the type
     436             :  * \f$Ax=b\f$, where \f$A\f$ is a global matrix representing the DG
     437             :  * discretization of the problem. Since this is one equation for each node in
     438             :  * the computational domain it becomes unfeasible to numerically invert the
     439             :  * global matrix \f$A\f$. Instead, we solve the problem iteratively so that we
     440             :  * never need to construct \f$A\f$ globally but only need \f$Ax\f$ that can be
     441             :  * evaluated locally by virtue of the DG formulation. This action of the
     442             :  * operator is what we have to supply in each step of the iterative algorithms
     443             :  * implemented here. It is where most of the computational cost goes and usually
     444             :  * involves computing a volume contribution for each element and communicating
     445             :  * fluxes with neighboring elements. Since the iterative algorithms typically
     446             :  * scale badly with increasing grid size, a preconditioner \f$P\f$ is needed
     447             :  * in order to make \f$P^{-1}A\f$ easier to invert.
     448             :  *
     449             :  * \note The smallest possible residual magnitude the linear solver can reach is
     450             :  * the product between the machine epsilon and the condition number of the
     451             :  * linear operator that is being inverted. Smaller residuals are numerical
     452             :  * artifacts. Requiring an absolute or relative residual below this limit will
     453             :  * likely make the linear solver run until it reaches its maximum number of
     454             :  * iterations.
     455             :  *
     456             :  * \note Remember that when the linear operator \f$A\f$ corresponds to a PDE
     457             :  * discretization, decreasing the linear solver residual below the
     458             :  * discretization error will not improve the numerical solution any further.
     459             :  * I.e. the error \f$e_k=x_k-x_\mathrm{analytic}\f$ to an analytic solution
     460             :  * will be dominated by the linear solver residual at first, but even if the
     461             :  * discretization \f$Ax_k=b\f$ was exactly solved after some iteration \f$k\f$,
     462             :  * the discretization residual
     463             :  * \f$Ae_k=b-Ax_\mathrm{analytic}=r_\mathrm{discretization}\f$ would still
     464             :  * remain. Therefore, ideally choose the absolute or relative residual criteria
     465             :  * based on an estimate of the discretization residual.
     466             :  *
     467             :  * In the iterative algorithms we usually don't work with the physical field
     468             :  * \f$x\f$ directly. Instead we need to apply the operator to an internal
     469             :  * variable defined by the respective algorithm. This variable is exposed as the
     470             :  * `LinearSolver::Tags::Operand` prefix, and the algorithm expects that the
     471             :  * computed operator action is written into
     472             :  * `db::add_tag_prefix<LinearSolver::Tags::OperatorAppliedTo,
     473             :  * LinearSolver::Tags::Operand<...>>` in each step.
     474             :  */
     475             : 
     476             : /// \defgroup LoggingGroup Logging
     477             : /// \brief Functions for logging progress of running code
     478             : 
     479             : /// \defgroup MathFunctionsGroup Math Functions
     480             : /// \brief Useful analytic functions
     481             : 
     482             : /*!
     483             :  * \defgroup NumericalAlgorithmsGroup Numerical Algorithms
     484             :  * \brief Generic numerical algorithms
     485             :  */
     486             : 
     487             : /*!
     488             :  * \defgroup NumericalFluxesGroup Numerical Fluxes
     489             :  * \brief The set of available numerical fluxes
     490             :  */
     491             : 
     492             : /*!
     493             :  * \defgroup ObserversGroup Observers
     494             :  * \brief Observing/writing data to disk.
     495             :  */
     496             : 
     497             : /*!
     498             :  * \defgroup OptionGroupsGroup Option Groups
     499             :  * \brief Tags used for grouping input file options.
     500             :  *
     501             :  * An \ref OptionTagsGroup "option tag" can be placed in a group with other
     502             :  * option tags to give the input file more structure. To assign a group to an
     503             :  * option tag, set its `group` type alias to a struct that provides a help
     504             :  * string and may override a static `name()` function:
     505             :  *
     506             :  * \snippet Test_Options.cpp options_example_group
     507             :  *
     508             :  * A number of commonly used groups are listed here.
     509             :  *
     510             :  * See also the \ref dev_guide_option_parsing "option parsing guide".
     511             :  */
     512             : 
     513             : /*!
     514             :  * \defgroup OptionParsingGroup Option Parsing
     515             :  * Things related to parsing YAML input files.
     516             :  */
     517             : 
     518             : /*!
     519             :  * \defgroup OptionTagsGroup Option Tags
     520             :  * \brief Tags used for options parsed from the input file.
     521             :  *
     522             :  * These can be stored in the GlobalCache or passed to the `initialize`
     523             :  * function of a parallel component.
     524             :  */
     525             : 
     526             : /*!
     527             :  * \defgroup ParallelGroup Parallelization
     528             :  * \brief Functions, classes and documentation related to parallelization and
     529             :  * Charm++
     530             :  *
     531             :  * See
     532             :  * \ref dev_guide_parallelization_foundations "Parallelization infrastructure"
     533             :  * for details.
     534             :  */
     535             : 
     536             : /*!
     537             :  * \defgroup PeoGroup Performance, Efficiency, and Optimizations
     538             :  * \brief Classes and functions useful for performance optimizations.
     539             :  */
     540             : 
     541             : /*!
     542             :  * \defgroup PrettyTypeGroup Pretty Type
     543             :  * \brief Pretty printing of types
     544             :  */
     545             : 
     546             : /*!
     547             :  * \defgroup ProtocolsGroup Protocols
     548             :  * \brief Classes that define metaprogramming interfaces
     549             :  *
     550             :  * See the \ref protocols section of the dev guide for details.
     551             :  */
     552             : 
     553             : /*!
     554             :  * \defgroup PythonBindingsGroup Python Bindings
     555             :  * \brief Classes and functions useful when writing python bindings.
     556             :  *
     557             :  * See the \ref spectre_writing_python_bindings "Writing Python Bindings"
     558             :  * section of the dev guide for details on how to write python bindings.
     559             :  */
     560             : 
     561             : /*!
     562             :  * \defgroup SpecialRelativityGroup Special Relativity
     563             :  * \brief Contains functions used in special relativity calculations
     564             :  */
     565             : 
     566             : /*!
     567             :  * \defgroup SpectralGroup Spectral
     568             :  * Things related to spectral transformations.
     569             :  */
     570             : 
     571             : // Note: this group is ordered by how it appears in the rendered Doxygen pages
     572             : // (i.e., "Spin-weighted..."), rather than the group's name (i.e., "Swsh...").
     573             : /*!
     574             :  * \defgroup SwshGroup Spin-weighted spherical harmonics
     575             :  * Utilities, tags, and metafunctions for using and manipulating spin-weighted
     576             :  * spherical harmonics
     577             :  */
     578             : 
     579             : /*!
     580             :  * \defgroup SurfacesGroup Surfaces
     581             :  * Things related to surfaces.
     582             :  */
     583             : 
     584             : /*!
     585             :  * \defgroup TensorGroup Tensor
     586             :  * Tensor use documentation.
     587             :  */
     588             : 
     589             : /*!
     590             :  * \defgroup TensorExpressionsGroup Tensor Expressions
     591             :  * Tensor Expressions allow writing expressions of
     592             :  * tensors in a way similar to what is used with pen and paper.
     593             :  *
     594             :  * Tensor expressions are implemented using (smart) expression templates. This
     595             :  * allows a domain specific language making expressions such as
     596             :  * \code
     597             :  * auto T = evaluate<Indices::_a_t, Indices::_b_t>(F(Indices::_b,
     598             :  * Indices::_a));
     599             :  * \endcode
     600             :  * possible.
     601             :  */
     602             : 
     603             : /*!
     604             :  * \defgroup TestingFrameworkGroup Testing Framework
     605             :  * \brief Classes, functions, macros, and instructions for developing tests
     606             :  *
     607             :  * \details
     608             :  *
     609             :  * SpECTRE uses the testing framework
     610             :  * [Catch](https://github.com/philsquared/Catch). Catch supports a variety of
     611             :  * different styles of tests including BDD and fixture tests. The file
     612             :  * `cmake/SpectreAddCatchTests.cmake` parses the source files and adds the found
     613             :  * tests to ctest with the correct properties specified by tags and attributes.
     614             :  *
     615             :  * ### Usage
     616             :  *
     617             :  * To run the tests, type `ctest` in the build directory. You can specify
     618             :  * a regex to match the test name using `ctest -R Unit.Blah`, or run all
     619             :  * tests with a certain tag using `ctest -L tag`.
     620             :  *
     621             :  * ### Comparing double-precision results
     622             :  *
     623             :  * To compare two floating-point numbers that may differ by round-off, use the
     624             :  * helper object `approx`. This is an instance of Catch's comparison class
     625             :  * `Approx` in which the relative tolerance for comparisons is set to roughly
     626             :  * \f$10^{-14}\f$ (i.e. `std::numeric_limits<double>::%epsilon()*100`).
     627             :  * When possible, we recommend using `approx` for fuzzy comparisons as follows:
     628             :  * \example
     629             :  * \snippet Test_TestingFramework.cpp approx_default
     630             :  *
     631             :  * For checks that need more control over the precision (e.g. an algorithm in
     632             :  * which round-off errors accumulate to a higher level), we recommend using
     633             :  * the `approx` helper with a one-time tolerance adjustment. A comment
     634             :  * should explain the reason for the adjustment:
     635             :  * \example
     636             :  * \snippet Test_TestingFramework.cpp approx_single_custom
     637             :  *
     638             :  * For tests in which the same precision adjustment is re-used many times, a new
     639             :  * helper object can be created from Catch's `Approx` with a custom precision:
     640             :  * \example
     641             :  * \snippet Test_TestingFramework.cpp approx_new_custom
     642             :  *
     643             :  * Note: We provide the `approx` object because Catch's `Approx` defaults to a
     644             :  * very loose tolerance (`std::numeric_limits<float>::%epsilon()*100`, or
     645             :  * roughly \f$10^{-5}\f$ relative error), and so is poorly-suited to checking
     646             :  * many numerical algorithms that rely on double-precision accuracy. By
     647             :  * providing a tighter tolerance with `approx`, we avoid having to redefine the
     648             :  * tolerance in every test.
     649             :  *
     650             :  * ### Attributes
     651             :  *
     652             :  * Attributes allow you to modify properties of the test. Attributes are
     653             :  * specified as follows:
     654             :  * \code
     655             :  * // [[TimeOut, 10]]
     656             :  * // [[OutputRegex, The error message expected from the test]]
     657             :  * SPECTRE_TEST_CASE("Unit.Blah", "[Unit]") {
     658             :  * \endcode
     659             :  *
     660             :  * Available attributes are:
     661             :  *
     662             :  * <table class="doxtable">
     663             :  * <tr>
     664             :  * <th>Attribute </th><th>Description  </th>
     665             :  * </tr>
     666             :  * <tr>
     667             :  * <td>TimeOut </td>
     668             :  * <td>override the default timeout and set the timeout to N seconds. This
     669             :  * should be set very sparingly since unit tests are designed to be
     670             :  * short. If your test is too long you should consider testing smaller
     671             :  * portions of the code if possible, or writing an integration test instead.
     672             :  * </td>
     673             :  * </tr>
     674             :  * <tr>
     675             :  * <td>OutputRegex </td>
     676             :  * <td>
     677             :  * When testing failure modes the exact error message must be tested, not
     678             :  * just that the test failed. Since the string passed is a regular
     679             :  * expression you must escape any regex tokens. For example, to match
     680             :  * `some (word) and` you must specify the string `some \(word\) and`.
     681             :  * If your error message contains a newline, you can match it using the
     682             :  * dot operator `.`, which matches any character.
     683             :  * </td>
     684             :  * </tr>
     685             :  * </table>
     686             :  *
     687             :  * ### Debugging Tests in GDB or LLDB
     688             :  *
     689             :  * Several tests fail intentionally at the executable level to test error
     690             :  * handling like ASSERT statements in the code. CTest is aware of which
     691             :  * should fail and passes them. If you want to debug an individual test
     692             :  * in a debugger you must specify the name of the test as the first argument to
     693             :  * the test executable. For example, if you want to debug the "Unit.Gradient"
     694             :  * test: Launch the debugger, for example if you're using LLDB then run `lldb
     695             :  * ./bin/Test_LinearOperators`. Then run the test with `run Unit.Gradient`
     696             :  * inside the debugger.
     697             :  */
     698             : 
     699             : /*!
     700             :  * \defgroup TimeGroup Time
     701             :  * \brief Code related to the representation of time during simulations.
     702             :  *
     703             :  * The time covered by a simulation is divided up into a sequence of
     704             :  * adjacent, non-overlapping (except at endpoints) intervals referred
     705             :  * to as "slabs".  The boundaries between slabs can be placed at
     706             :  * arbitrary times.  Slabs, as represented in the code as the Slab
     707             :  * class, provide comparison operators comparing slabs agreeing with
     708             :  * the definition as a sequence of intervals.  Slabs that do not
     709             :  * jointly belong to any such sequence should not be compared.
     710             :  *
     711             :  * The specific time is represented by the Time class, which encodes
     712             :  * the slab containing the time and the fraction of the slab that has
     713             :  * elapsed as an exact rational.  Times are comparable according to
     714             :  * their natural time ordering, except for times belonging to
     715             :  * incomparable slabs.
     716             :  *
     717             :  * Differences in time within a slab are represented as exact
     718             :  * fractions of that slab by the TimeDelta class.  TimeDeltas are only
     719             :  * meaningful within a single slab, with the exception that the ratio
     720             :  * of objects with different slabs may be taken, resulting in an
     721             :  * inexact floating-point result.  Longer intervals of time are
     722             :  * represented using floating-point values.
     723             :  */
     724             : 
     725             : /*!
     726             :  * \defgroup TimeSteppersGroup Time Steppers
     727             :  * A collection of ODE integrators primarily used for time stepping.
     728             :  */
     729             : 
     730             : /*!
     731             :  * \defgroup TypeTraitsGroup Type Traits
     732             :  * A collection of useful type traits, including C++14 and C++17 additions to
     733             :  * the standard library.
     734             :  */
     735             : 
     736             : /*!
     737             :  * \defgroup UtilitiesGroup Utilities
     738             :  * \brief A collection of useful classes, functions and metafunctions.
     739             :  */
     740             : 
     741             : /*!
     742             :  * \defgroup VariableFixingGroup Variable Fixing
     743             :  * \brief A collection of different variable fixers ranging in sophistication.
     744             :  *
     745             :  * Build-up of numerical error can cause physical quantities to evolve
     746             :  * toward non-physical values. For example, pressure and density may become
     747             :  * negative. This will subsequently lead to failures in numerical inversion
     748             :  * schemes to recover the corresponding convervative values. A rough fix that
     749             :  * enforces physical quantities stay physical is to simply change them by hand
     750             :  * when needed. This can be done at various degrees of sophistication, but in
     751             :  * general the fixed quantities make up a negligible amount of the physics of
     752             :  * the simulation; a rough fix is vastly preferred to a simulation that fails
     753             :  * to complete due to nonphysical quantities.
     754             :  */

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