Packing Variables

Starting from a high level, at the beginning of a simulation a Parthenon based code defines fields on the Mesh by adding them to a StateDescriptor. The StateDescriptors for all packages are then passed to the Mesh constructor. A constructed Mesh includes a collection of MeshBlocks that cover the domain of the Mesh. The MeshBlocks contain information about the coordinate region they cover, their relationship to neighboring MeshBlocks, and importantly a container holding MeshBlockData objects. These MeshBlockData objects in turn hold Variable objects corresponding to the fields defined on the Mesh [1]. Each of the MeshBlockData objects stored in a given MeshBlock is labeled as a stage. By construction, every MeshBlock in a Parthenon contains the same stages. Memory for storing a field on a block on a stage is only actually allocated (on device) and held within a Variable object in a ParArray [2]. Putting the storage for fields in a separate object from MeshBlock, the MeshBlockData, easily allows for multiple storage locations for a given field on a given block within the mesh, e.g. to store multiple Runge-Kutta stages. Further, for performance reasons, downstream Parthenon codes generally should work with MeshData objects, which hold pointers to groups of MeshBlockData objects across different blocks but on the same stage.

As a result of this somewhat complicated structure, it is impractical to access variable storage by following through these different objects in a downstream code [3]. Therefore, Parthenon defines SparsePacks and SwarmPacks to allow seamless access to variables within compute kernels. Essentially, packs are objects that contain a ParArray of references to the ParArrays stored within Variable over a chosen set of fields on a given set of blocks. Said differently, given a SparsePack pack built from MeshData md and a set of fields var1, var2,… , a sparse pack allows one to access the field var1 on block b of md at position (k, j, i) using syntax like

Real &my_val = pack(b, var1_t(), k, j, i); // Pull out a reference to the value of var1 on block b in cell (k, j, i)
ParArray3D<Real> var1 = pack(b, var1_t()); // Pull out a reference to the 3D array containing var1 on block b

etc. within a kernel.

SparsePacks work for all types of variables (both dense and sparse). They were originally implemented to support sparse variables and to supersede the older VariablePacks and VariableFluxPacks and picked up the Sparse modifier to differentiate them. The latter have not been removed from ``Parthenon`` because some downstream codes still rely on them, but they are deprecated and will be removed eventually.

If you want to deal with particle fields, you will need to use SwarmPack*s, which are described at swarm_packs. Type-based Packing ——————

Parthenon provides functionality for accessing fields in a pack via a type that is associated with a field name [4]. As an example, if a downstream code includes a field with the name "var1" the code could also define a type

struct var1_t : public parthenon::variable_names::base_t<false> {
  template <class... Ts>
  KOKKOS_INLINE_FUNCTION varname(Ts &&...args)
      : parthenon::variable_names::base_t<false>(std::forward<Ts>(args)...) {}
  static std::string name() { return "var1"; }
}

which inherits from parthenon::variable_names::base_t [5]. Rather than write this boilerplate out for every variable name in a downstream code, it is often easier to define a macro that expands to this class for a given variable name argument. Additionally, fields can be added to a StateDescriptor using the variable name type directly using

StateDescriptor pkg;
Metadata metadata;
pkg->AddField<var1_t>(metadata);

The advantage of using types instead of just strings to denote field names is that the types are accessible within kernels on device. Under the hood, SparsePack::operator() is overloaded on each of the type list of variable name types used to create the pack, so an instance of the variable name type can be used to access desired field within a pack.

Building and Using a SparsePack

SparsePacks are built in two stages, first a PackDescriptor is built that defines the set of fields to include in the pack using one of the overloaded MakePackDescriptor functions. Then PackDescriptor::GetPack(...) is called on a given MeshData or MeshBlockData object to return an actual pack. In practice, this will look like

parthenon::TaskStatus my_task(MeshData *md) {
  // Pull out indices, etc.
  std:::vector<MetadataFlags> md_flags; // Optional argument below
  std::set<PDOpt> options{PDOpt::WithFluxes}; // Optional argument below
  auto desc = parthenon::MakePackDescriptor<var1_t, var2_t>(pmd, md_flags, options);
  auto pack = desc.GetPack(md);
  parthenon::par_for(/*index ranges, etc. go here */,
      KOKKOS_LAMBDA(int b, int k, int j, int i) {
    for (int c = 0; c < ncomponents_2; ++c)
      pack(b, var1_t(), k, j, i) += 2.0 * pack(b, var2_t(c), k, j, i);
    pack.flux(b, X1DIR, var1_t(), k, j, i) = pack(b, var1_t(), k, j, i) * pack(b, var2_t(), k, j, i);
  });
  return TaskStatus::complete;
}

PackDescriptors are somewhat expensive to build and are not currently cached. As a result, it is often beneficial to mark them as ``static`` where possible.

PackDescriptor takes a std::set of PDOpt options to determine what to include in the pack:

Pack Descriptor Options

PDOpt::WithFluxes	Fluxes associated with variables in the pack are included in the pack and accessible through pack.flux(...)
PDOpt::Coarse	Pack the coarse buffers for the fields rather than the normal resolution buffers.
PDOpt::Flatten	Packs all blocks across all fields into the variable index so that the pack looks like it has a single block.

SparsePack::operator()

There are a number of different overloads for operator() in sparse packs that allow accessing field data:

• template <class var_t> Real &operator()(int b, TopologicalElement te, const var_t &t, int k, int j, int i) and template <class var_t> ParArray3D operator()(int b, TopologicalElement te, const var_t &t) : Returns the value on block b for topological element te of var_t. The first call returns a reference to the value at position (k, j, i) while the second returns a ParArray3D (which obeys reference semantics) containing that component of the field on the block. var_t must be in the list of types used to create the pack.

• template <class var_t> Real &operator()(int b, const var_t &t, int k, int j, int i) and template <class var_t> Real &operator()(int b, const var_t &t): Same as above, but with the topological element defaulted to cell-centered.

• Real &operator()(int b, TopologicalElement te, int idx, int k, int j, int i) and Real &operator()(int b, int idx, int k, int j, int i) and Real &operator()(int b, TopologicalElement te, int idx) and Real &operator()(int b, int idx): Same as above, but directly accesses the field at position idx in the pack. This should be used with the bounds returned from SparsePack::GetLowerBound(...) and SparsePack::GetUpperBound(...).

• Real &operator()(int b, TopologicalElement te, PackIdx idx, int k, int j, int i) and Real &operator()(int b, PackIdx idx, int k, int j, int i) and Real &operator()(int b, TopologicalElement te, PackIdx idx) and Real &operator()(int b, PackIdx idx): Same as above, but access the field using PackIdx idx. This only works for packs that were built using a list of names (as opposed to a list of types), see [4].

Other SparsePack Methods

• Coordinates_t &GetCoordinates(const int b = 0): Returns a reference to the coordinates object associated with block b.

• template <class var_t> int GetLowerBound(int b, var_t): Returns the first index in the pack where a field corresponding to var_t is stored. Returns -1 if var_t is not allocated on block b. A similar functions exist for PackIdx.

• template <class var_t> int GetUpperBound(int b, var_t): Returns the last index in the pack where a field corresponding to var_t is stored. Returns -2 if var_t is not allocated on block b. A similar functions exist for PackIdx.

• int GetLevel(int b, int off3, int off2, int off1): Returns the logical level of neighbor block(s) of block b offset in direction (off3, off2, off1).

• bool IsPhysicalBoundary(int b, int off3, int off2, int off1): Returns if block b has a physical boundary in offset direction (off3, off2, off1).

• template <class var_t> bool Contains(const int b, const var_t t): Returns if var_t is allocated on block b.

• template <class var_t> Real &flux(int b, int dir, const var_t &t, int k, int j, int i): Gets the flux in direction dir associated with variable var_t.

SparsePacks with Sparse Fields

A given sparse field may or may not be allocated on each block within a pack. To safely access the fields in a given pack, SparsePacks provide checks on whether or not a given sparse variable/pool is allocated

parthenon::TaskStatus my_task(MeshData *md) {
  // Pull out indices, etc.
  auto desc = parthenon::MakePackDescriptor<sparse_var_t>(pmd);
  auto pack = desc.GetPack(md);
  parthenon::par_for(/*index ranges, etc. go here */,
      KOKKOS_LAMBDA(int b, int k, int j, int i) {
      // For a single sparse field
      if (pack.Contains(b, sparse_var_t())) {
        // The sparse field is allocated on block b, and so is safe to access
      }
      // This loop will go over all allocated sparse fields in the sparse_var sparse pool
      for (int idx = pack.GetLowerBound(b, sparse_var_t()); idx <= pack.GetUpperBound(b, sparse_var_t()); ++idx) {
        pack(b, idx, k, j, i) = 0.0;
      }
  });
  return TaskStatus::complete;
}

[1]

In practice, there are ways of selecting subsets of fields for inclusion in a given MeshBlockData instance.

[2]

ParArrays are lite wrappers around Kokkos::Views and therefore obey reference semantics.

[3]

Additionally, because many std:: library containers don’t work on device, the chain from field name through MeshBlockData to Variable to the underlying ParArray cannot be legally followed within a kernel.

[4] (1,2)

It is also possible to use SparsePacks created with a vector of string field names. In this case, the PackDescriptor can return a map from variable name strings to PackIdxs using the function PackDescriptor::GetMap(). These indices need to be pulled out from the map outside of the kernel, since std::unordered_map is unavailable on device. Then inside the kernel, packs are accessed using PackIdx var_idx in calls to the pack pack(b, var_idx, k, j, i), etc.

[5]

The template arguments for parthenon::variable_names::base_t are <bool REGEX, int... NCOMP> where the REGEX boolean determines if the returned name sure be interpreted as a simple string or as a regex that possibly selects multiple variable names. The variadic integer pack NCOMP... defines the tensor shape of the field, so that when the var1_t(m, l) constructor is called the correct component of the field is returned from a call to SparsePack::operator() (assuming we have a two component field).