SpECTRE
v2022.05.05
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SpECTRE builds a layer on top of Charm++ that performs various safety checks and initialization for the user that can otherwise lead to difficult-to-debug undefined behavior. The central concept is what is called a Parallel Component. A Parallel Component is a struct with several type aliases that is used by SpECTRE to set up the Charm++ chares and allowed communication patterns. Parallel Components are input arguments to the compiler, which then writes the parallelization infrastructure that you requested for the executable. There is no restriction on the number of Parallel Components, though practically it is best to have around 10 at most.
Here is an overview of what is described in detail in the sections below:
Initialization
, Evolve
and Exit
.SpECTRE takes a different approach to input options passed to an executable than is common. SpECTRE not only reads an input file at runtime but also has many choices made at compile time. The compile time options are specified by what is referred to as the metavariables. What exactly the metavariables struct specifies depends on the executable, but all metavariables structs must specify the following:
help
: a static constexpr Options::String
that will be printed as part of the help message. It should describe the executable and basic usage of it, as well as any non-standard options that must be specified in the metavariables and their current values. An example of a help string for one of the testing executables is: component_list
: a tmpl::list
of the parallel components (described below) that are to be created. Most evolution executables will have the DgElementArray
parallel component listed. An example of a component_list
for one of the test executables is: using const_global_cache_tags
: a tmpl::list
of tags that are used to place const items in the GlobalCache. The alias may be omitted if the list is empty.using mutable_global_cache_tags
: a tmpl::list
of tags that are used to place mutable items in the GlobalCache. The alias may be omitted if the list is empty.Phase
: an enum class
that must contain at least Initialization
and Exit
. Phases are described in the next section.determine_next_phase
: a static function with the signature There are also several optional members:
input_file
: a static constexpr Options::String
that is the default name of the input file that is to be read. This can be overridden at runtime by passing the --input-file
argument to the executable.ignore_unrecognized_command_line_options
: a static constexpr bool
that defaults to false
. If set to true
then unrecognized command line options are ignored. Ignoring unrecognized options is generally only necessary for tests where arguments for the testing framework, Catch, are passed to the executable.Global synchronization points, where all cores wait for each other, are undesirable for scalability reasons. However, they are sometimes inevitable for algorithmic reasons. That is, in order to actually get a correct solution you need to have a global synchronization. SpECTRE executables can have multiple phases, where after each phase a global synchronization occurs. By global synchronization we mean that no parallel components are executing or have more tasks to execute: everything is waiting to be told what tasks to perform next.
Every executable must have at least two phases, Initialization
and Exit
. The next phase is decided by the static member function determine_next_phase
in the metavariables. Currently this function has access to the phase that is ending, and also the global cache. In the future we will add support for receiving data from various components to allow for more complex decision making. Here is an example of a determine_next_phase
function and the Phase
enum class:
In contrast, an evolution executable might have phases Initialization
, SetInitialData
, Evolve
, and Exit
, but have a similar switch
or if-else
logic in the determine_next_phase
function. The first phase that is entered is always Initialization
. During the Initialization
phase the Parallel::GlobalCache
is created, all non-array components are created, and empty array components are created. Next, the function allocate_array_components_and_execute_initialization_phase
is called which allocates the elements of each array component, and then starts the Initialization
phase on all parallel components. Once all parallel components' Initialization
phase is complete, the next phase is determined and the execute_next_phase
function is called on all the parallel components.
At the end of an execution the Exit
phase has the executable wait to make sure no parallel components are performing or need to perform any more tasks, and then exits. An example where this approach is important is if we are done evolving a system but still need to write data to disk. We do not want to exit the simulation until all data has been written to disk, even though we've reached the final time of the evolution.
Since most numerical algorithms repeat steps until some criterion such as the final time or convergence is met, SpECTRE's parallel components are designed to do such iterations for the user. An Algorithm executes an ordered list of actions until one of the actions cannot be evaluated, typically because it is waiting on data from elsewhere. When an algorithm can no longer evaluate actions it passively waits by handing control back to Charm++. Once an algorithm receives data, typically done by having another parallel component call the receive_data
function, the algorithm will try again to execute the next action. If the algorithm is still waiting on more data then the algorithm will again return control to Charm++ and passively wait for more data. This is repeated until all required data is available. The actions that are iterated over by the algorithm are called iterable actions and are described below. Since the action list is phase dependent we refer to them generally as phase-dependent action lists (PDALs, pronounced "pedals").
Each Parallel Component struct must have the following type aliases:
using chare_type
is set to one of:Parallel::Algorithms::Singleton
s have one object in the entire execution of the program. They are implemented as single element Charm++ chare arrays. Charm++ does offer a distributed object called a singleton, however, we explicitely don't use this for various reasons (see Parallel::Algorithms::Singleton). Henceforth and throughout SpECTRE, a singleton
will refer to Parallel::Algorithms::Singleton and not a Charm++ singleton.Parallel::Algorithms::Array
s hold zero or more elements, each of which is an object distributed to some core. An array can grow and shrink in size dynamically if need be and can also be bound to another array. A bound array has the same number of elements as the array it is bound to, and elements with the same ID are on the same core. See Charm++'s chare arrays for details.Parallel::Algorithms::Group
s are arrays with one element per core which are not able to be moved around between cores. These are typically useful for gathering data from array elements on their core, and then processing or reducing the data further. See Charm++'s group chares for details.Parallel::Algorithms::Nodegroup
s are similar to groups except that there is one element per node. For Charm++ SMP (shared memory parallelism) builds, a node corresponds to the usual definition of a node on a supercomputer. However, for non-SMP builds nodes and cores are equivalent. We ensure that all entry method calls done through the Algorithm's simple_action
and receive_data
functions are threadsafe. User-controlled threading is possible by calling the entry method member function threaded_action
, which is like simple_action
except it passes a node lock to the Action
's apply function. Note that unlike simple_action
s, multiple threaded_action
s can be executing simultaneously on the same chare.using metavariables
is set to the Metavariables struct that stores the global metavariables. It is often easiest to have the Parallel Component struct have a template parameter Metavariables
that is the global metavariables struct. Examples of this technique are given below.using phase_dependent_action_list
is set to a tmpl::list
of Parallel::PhaseActions<PhaseType, Phase, tmpl::list<Actions...>>
where each PhaseAction
represents a PDAL that will be executed on the parallel component during the specified phase. The Actions are executed in the order that they are given in the tmpl::list
s of the PDALs, but the phases need not be run in linear order. However, db::DataBox
types are constructed assuming the phases are performed from first in the phase_dependent_action_list
to the last. Simple actions (described below) can be executed in any phase. If there are no iterable actions in a phase then a PhaseAction
need not be specified for that phase. However, at least one PhaseAction
, even if it is empty, must be specified.using initialization_tags
which is a tmpl::list
of all the tags that will be inserted into the initial db::DataBox
of each component. These tags are db::SimpleTags that have have a using option_tags
type alias and a static function create_from_options
(see the example below). This list can usually be constructed from the initialization actions of the component (i.e. the list of actions in the PhaseAction
list for the Initialization
phase) using the helper function Parallel::get_initialization_tags
(see the examples of components below). Each initialization action may specify a type alias using initialization_tags
which are a tmpl::list
of tags that will be fetched from the db::DataBox by the action. All initialization_tags
are removed from the db::DataBox of the component at the end of the Initialization
phase, except for tags listed in a type alias using initialization_tags_to_keep
that may appear in each initialization action.using const_global_cache_tags
is set to a tmpl::list
of tags that are required by the allocate_array
function of an array component, or simple actions called on the parallel component. These tags correspond to const items that are stored in the Parallel::GlobalCache (of which there is one copy per Charm++ node). The alias can be omitted if the list is empty. (See array_allocation_tags
below for specifying tags needed for the allocate_array
function, but will not be added to the Parallel::GlobalCache.)using mutable_global_cache_tags
is set to a tmpl::list
of tags that correspond to mutable items that are stored in the Parallel::GlobalCache (of which there is one copy per Charm++ core). The alias can be omitted if the list is empty.using array_index
, which is set to the type that indexes the Parallel Component Array. Charm++ allows arrays to be 1 through 6 dimensional or be indexed by a custom type. The Charm++ provided indexes are wrapped as Parallel::ArrayIndex1D
through Parallel::ArrayIndex6D
. When writing custom array indices, the Charm++ manual tells you to write your own CkArrayIndex
, but we have written a general implementation that provides this functionality (see Parallel::ArrayIndex
); all that you need to provide is a plain-old-data (POD) struct of the size of at most 3 integers.Parallel array components have a static allocate_array
function that is used to construct the elements of the array. The signature of the allocate_array
functions must be:
The allocate_array
function is called by the Main parallel component when the execution starts and will typically insert elements into array parallel components. If the allocate_array
function depends upon input options, the array component must specify a using array_allocation_tags
type alias that is a tmpl::list
of tags which are db::SimpleTags that have have a using option_tags
type alias and a static function create_from_options
. If you want to ignore specific processors when placing array elements, you can pass in a std::unordered_set<size_t>
to allocate_array
that contains all the processors that shouldn't have array elements on them. An example is:
The allocate_array
functions of different array components are called in random order and so it is not safe to have them depend on each other.
Each parallel component must also decide what to do in the different phases of the execution. This is controlled by an execute_next_phase
function with signature:
The determine_next_phase
function in the Metavariables determines the next phase, after which the execute_next_phase
function gets called. The execute_next_phase
function determines what the parallel component should do during the next phase. Typically the execute_next_phase
function should just call start_phase(phase)
on the parallel component. In the future execute_next_phase
may be removed.
An example of a singleton parallel component is:
An example of an array parallel component is:
Elements are inserted into the array by using the Charm++ insert
member function of the CProxy for the array. The insert
function is documented in the Charm++ manual. In the above Array example array_proxy
is a CProxy
and so all the documentation for Charm++ array proxies applies. SpECTRE always creates empty arrays with the constructor and requires users to insert however many elements they want and on which cores they want them to be placed. Note that load balancing calls may result in array elements being moved.
Actions are structs with a static apply
method and come in five variants: simple actions, iterable actions, reduction actions, threaded actions, and local synchronous actions.
The signature of apply
methods differs for the different types of actions, but all types have the same general form. Actions receive a db::DataBox
, the Parallel::GlobalCache, and their element's index and parallel component, as well as arguments specific to the action type.
The db::DataBox
should be thought of as the member data of the parallel component while the actions are the member functions. The combination of a db::DataBox
and actions allows building up classes with arbitrary member data and methods using template parameters and invocation of actions. This approach allows us to eliminate the need for users to work with Charm++'s interface files, which can be error prone and difficult to use.
The Parallel::GlobalCache is passed to each action so that the action has access to global data and is able to invoke actions on other parallel components. The ParallelComponent
template parameter is the tag of the parallel component that invoked the action. A proxy to the calling parallel component can then be retrieved from the Parallel::GlobalCache. The remote entry method invocations are slightly different for different types of actions, so they will be discussed below. However, one thing that is disallowed for all actions is calling an action locally from within an action on the same parallel component. Specifically,
Here Parallel::local()
is a wrapper around ckLocal()
which is a Charm++ provided method that returns a pointer to the local (currently executing) parallel component. See the Charm++ manual for more information. However, you are able to queue a new action to be executed later on the same parallel component by getting your own parallel component from the Parallel::GlobalCache (Parallel::get_parallel_component<ParallelComponent>(cache)
). The difference between the two calls is that by calling an action through the parallel component you will first finish the series of actions you are in, then when they are complete Charm++ will call the next queued action.
Array, group, and nodegroup parallel components can have actions invoked in two ways. First is a broadcast where the action is called on all elements of the array:
The second case is invoking an action on a specific array element by using the array element's index. The below example shows how a broadcast would be done manually by looping over all elements in the array:
Note that in general you will not know what all the elements in the array are and so a broadcast is the correct method of sending data to or invoking an action on all elements of an array parallel component.
The array_index
argument passed to all apply
methods is the index into the parallel component array. If the parallel component is not an array the value and type of array_index
is implementation defined and cannot be relied on.
Simple actions can be thought of as member functions of remote objects (chares/parallel components). They are the direct analog of entry methods in Charm++ except that the member data is stored in the db::DataBox
that is passed in as the first argument. A simple action must return void but can use db::mutate
to change values of items in the db::DataBox
if the db::DataBox
is taken as a non-const reference. In some cases you will need specific items to be in the db::DataBox
otherwise the action won't compile. To restrict which db::DataBox
es can be passed you should use Requires
in the action's apply
function template parameter list. For example,
checks that CountActionsCalled
is available in the box.
Simple actions can be called using a CProxy
(see the Charm++ manual), which is retrieved from the Parallel::GlobalCache using the parallel component struct and the Parallel::get_parallel_component()
function. For example, the action above could be called as
Any arguments after the proxy are passed as additional arguments to the action's apply
function.
Iterable actions make up the algorithms described by the PDALs. These actions are executed one after the other until one of them cannot be evaluated. Their apply
methods signature is
The ActionList
type is the tmpl::list
of iterable actions in the current phase. That is, it is equal to the action_list
type alias in the current PDAL. The inboxes
is a collection of the tags specified as tmpl::list
s in the iterable actions' member type aliases inbox_tags
. This collection represents data received from other chares using the receive_data
function. The return type will be discussed below.
Iterable actions can change the type of the db::DataBox by adding or removing elements/tags from the db::DataBox. The only requirement is that the last action in each PDAL returns a db::DataBox that is the same type for each iteration. Iterable actions can also request that the algorithm no longer be executed, and control which action in the current PDAL will be executed next. This is all done via the return value from the apply
function. The apply
function for iterable actions must return a std::tuple
of one, two, or three elements. The first element of the tuple is the new db::DataBox, which can be a db::DataBox with a new set of tags or an rvalue reference to the box
argument to the function. Most iterable actions will simply return:
By returning the db::DataBox as a reference in a std::tuple
we avoid any unnecessary copying of the db::DataBox. The second argument controls how algorithm execution continues. If present, it must be either a bool
or a Parallel::AlgorithmExecution
. If a bool
is passed, the termination flag for the chare will be set to that value (stopping the algorithm if that value is true). See the documentation of Parallel::AlgorithmExecution
for the meanings of different values of that enum. If the returned tuple only has one element, it acts as if Parallel::AlgorithmExecution::Continue
was returned (that is, the flow control flags are not modified). For example, an action that stops the algorithm could return
Notice that we again return a reference to the db::DataBox, which is done to avoid any copying. After an algorithm has been terminated it can be restarted by passing false
to the set_terminate
method or by calling receive_data(..., true)
. Since the order in which messages are received is undefined in most cases the receive_data(..., true)
call should be used to restart the algorithm.
The return value Parallel::AlgorithmExecution::Retry
deserves special mention. It is intended for use by actions that use data supplied by other parallel objects to indicate that they have not received all of the data they require. The algorithm will stop until an operation that could supply data has occurred and then the action will be retried. An example of an waiting because of missing data is
The third optional element in the returned std::tuple
is a size_t
whose value corresponds to the index of the action to be called next in the PDAL. The metafunction tmpl::index_of<list, element>
can be used to get an tmpl::integral_constant
with the value of the index of the element element
in the typelist list
. For example,
Again a reference to the db::DataBox is returned, while the termination bool
and next action size_t
are returned by value. The metafunction call tmpl::index_of<ActionList, iterate_increment_int0>::value
returns a size_t
whose value is that of the action iterate_increment_int0
in the PDAL. The indexing of actions in the PDAL starts at 0
.
Iterable actions are invoked as part of the algorithm and so the only way to request they be invoked is by having the algorithm run on the parallel component. The algorithm can be explicitly evaluated in a new phase by calling start_phase(Phase::TheCurrentPhase)
:
Alternatively, to evaluate the algorithm without changing phases the perform_algorithm()
method can be used.
By passing true
to perform_algorithm
the algorithm will be restarted if it was terminated.
The algorithm is also evaluated by calling the receive_data
function, either on an entire array or singleton (this does a broadcast), or an on individual element of the array. Here is an example of a broadcast call:
and of calling individual elements:
The receive_data
function always takes a ReceiveTag
, which is set in the actions' inbox_tags
type aliases. The inbox_tags
must have two member type aliases, a temporal_id
which is used to identify when the data was sent, and a type
which is the type of the data to be stored in the inboxes
. The types are typically a std::unordered_map<temporal_id, DATA>
. In the discussed scenario of waiting for neighboring elements to send their data the DATA
type would be a std::unordered_map<TheElementId, DataSent>
. Inbox tags must also specify a static void insert_into_inbox()
function. For example,
For common types of DATA
, such as a map
, a data structure with an insert
function, a data structure with a push_back
function, or copy/move assignment that is used to insert the received data, inserters are available in Parallel::InboxInserters
. For example, there is Parallel::InboxInserters::Map
for map
data structures. The inbox tag can inherit publicly off the inserters to gain the required insertion capabilities:
The inbox_tags
type alias for the action is:
Normally when remote functions are invoked they go through the Charm++ runtime system, which adds some overhead. The receive_data
function tries to elide the call to the Charm++ RTS for calls into array components. Charm++ refers to these types of remote calls as "inline entry methods". With the Charm++ method of eliding the RTS, the code becomes susceptible to stack overflows because of infinite recursion. The receive_data
function is limited to at most 64 RTS elided calls, though in practice reaching this limit is rare. When the limit is reached the remote method invocation is done through the RTS instead of being elided.
Reduction actions are the targets of reducing data over an array. For example, you may want to know the sum of a int
from every element in the array. You can do this as follows:
This reduces over the parallel component ArrayParallelComponent<Metavariables>
, reduces to the parallel component SingletonParallelComponent<Metavariables>
, and calls the action ProcessReducedSumOfInts
after the reduction has been performed. The reduction action is:
As you can see, the last argument to the apply
function is of type int
, and is the reduced value.
You can also broadcast the result back to an array, even yourself. For example,
It is often necessary to reduce custom data types, such as std::vector
or std::unordered_map
. Charm++ supports such custom reductions, and so does our layer on top of Charm++. Custom reductions require one additional step to calling contribute_to_reduction
, which is writing a reduction function to reduce the custom data. We provide a generic type that can be used in custom reductions, Parallel::ReductionData
, which takes a series of Parallel::ReductionDatum
as template parameters and ReductionDatum::value_type
s as the arguments to the constructor. Each ReductionDatum
takes up to four template parameters (two are required). The first is the type of data to reduce, and the second is a binary invokable that is called at each step of the reduction to combine two messages. The last two template parameters are used after the reduction has completed. The third parameter is an n-ary invokable that is called once the reduction is complete, whose first argument is the result of the reduction. The additional arguments can be any ReductionDatum::value_type
in the ReductionData
that are before the current one. The fourth template parameter of ReductionDatum
is used to specify which data should be passed. It is a std::index_sequence
indexing into the ReductionData
.
Threaded actions are similar to simple actions, with the difference being that multiple threaded actions may be running on the same chare at the same time (potentially in parallel with one simple or reduction action). The apply
function for a threaded actions has the same signature as that for a simple action, except that it also receives a NodeLock
intended to control access to the chare's db::DataBox
. All access to the db::DataBox
, including read-only access, must occur while the action owns this lock. (Simple and reduction actions implicitly hold the lock for their entire execution.)
Threaded actions can only be run on nodegroup chares.
There is limited ability to retrieve data held by another parallel component via a direct synchronous call. Unlike the above actions, the invocation of a synchronous action is precisely a call to a member function of another parallel component; therefore, these invocations will run to completion, and return their result before the calling code proceeds in execution.
Aside from being synchronous and being able to return data, local synchronous actions behave the same as threaded actions, except that they will only run on the chare of a nodegroup that is on the local node.
Local synchronous actions' apply
functions follow a signature motivated by threaded actions, but take fewer arguments. This may be a bug.
Local synchronous actions must specify their return type in a return_type
type alias. This is to help simplify the logic with the variant db::DataBox
held by the parallel component.
An example of a definition of a local synchronous action:
And the corresponding invocation:
Most items in the GlobalCache are constant, and are specified by type aliases called const_global_cache_tags
as described above. However, the GlobalCache can also store mutable items. Because of asynchronous execution, care must be taken when mutating items in the GlobalCache, as described below.
A mutable item can be of any type, as long as that type is something that can be checked for whether it is "up-to-date". Here "up-to-date" means that the item can be safely used (even read-only) without needing to be mutated first. For example, a mutable item might be a function of time that knows the range of times for which it is valid; the mutable item is then deemed up-to-date if it will be called for a time within its range of validity, and it is deemed not up-to-date if it will be called for a time outside its range of validity. Thus the up-to-date status of a mutable item is determined by both the state of the item itself and by the code that wishes to use that item.
Mutable GlobalCache items are specified by a type alias mutable_global_cache_tags
, which is treated the same way as const_global_cache_tags
for const items.
Because execution is asynchronous, any code that uses a mutable item in the GlobalCache must first check whether that item is up-to-date. The information about whether an item is up-to-date is assumed to be stored in the item itself. For example, a mutable object stored in the GlobalCache might have type std::map<temporal_id,T>
(for some type T
), and then any code that uses the stored object can check whether an entry exists for a particular temporal_id
. To avoid race conditions, it is important that up-to-date checks are based on something that is independent of the order of mutation (like a temporal_id
, and not like checking the size of a vector).
To check an item, use the function Parallel::mutable_cache_item_is_ready
, which returns a bool indicating whether the item is up-to-date. If the item is up-to-date, then it can be used. Parallel::mutable_cache_item_is_ready
takes a lambda as an argument. This lambda is passed a single argument: a const reference to the item being retrieved. The lambda should determine whether the item is up-to-date. If so, it should return a default_constructed std::unique_ptr<Parallel::Callback>
; if not, it should return a std::unique_ptr<Parallel::Callback>
to a callback function that will be called on the next Parallel::mutate
of that item. The callback will typically check again if the item is up-to-date and if so will execute some code that gets the item via Parallel::get
.
For the case of iterable actions, Parallel::mutable_cache_item_is_ready
typically uses the callback Parallel::PerformAlgorithmCallback
. In the example below, the vector is considered up-to-date if it is non-empty. If the vector is not up-to-date, then when it becomes up-to-date the callback function will be invoked; in this case the callback function re-runs perform_algorithm()
, which will call the same action again.
Note that Parallel::mutable_cache_item_is_ready
is called on a local core and does no parallel communication.
The item is retrieved using Parallel::get
just like for constant items. For example, to retrieve the item Tags::VectorOfDoubles
:
Note that Parallel::get
is called on a local core and does no parallel communication.
Whereas we support getting non-mutable items in the GlobalCache from a DataBox via db::get
, we intentionally do not support db::get
of mutable items in the GlobalCache from a DataBox. The reason is that mutable items should be retrieved only after a Parallel::mutable_cache_item_is_ready
check, and being able to retrieve a mutable item from a DataBox makes it difficult to enforce that check, especially when automatically-executing compute items are considered.
To modify a mutable item, pass Parallel::mutate
two template parameters: the tag to mutate, and a struct with an apply
function that does the mutating. Parallel::mutate
takes two arguments: a reference to the local GlobalCache, and a tuple that is passed into the mutator function. For the following example,
the mutator function is defined as below:
Parallel::mutate
broadcasts to every core, where it calls the mutator function and then calls all the callbacks that have been set on that core by Parallel::mutable_cache_item_is_ready
. The Parallel::mutate
operation is guaranteed to be thread-safe without any further action by the developer.
Charm++ allows running functions once per core and once per node before the construction of any parallel components. This is commonly used for setting up error handling and enabling floating point exceptions. Other functions could also be run. Which functions are run on each node and core is set by specifying a std::vector<void (*)()>
called charm_init_node_funcs
and charm_init_proc_funcs
with function pointers to the functions to be called. For example,
Finally, the user must include the Parallel/CharmMain.tpp
file at the end of the main executable cpp file. So, the end of an executables main cpp file will then typically look as follows: