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SERiF v0.0.1a
Stellar Evolution and Rotation in Four Dimensions
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This file is a convenience header which includes all of the headers in the dependencies module. Further, we include the detailed documentation for the dependencies module here. More...
#include "serif/utils/dependencies/keys.hpp"#include "serif/utils/dependencies/binding.hpp"#include "serif/utils/dependencies/key_list.hpp"#include "serif/utils/dependencies/key_list_operations.hpp"#include "serif/utils/dependencies/dependency_context.hpp"#include "serif/utils/dependencies/computation.hpp"#include "serif/utils/dependencies/incremental_computation.hpp"#include "serif/utils/dependencies/computation_graph.hpp"#include "serif/utils/dependencies/computation_cache.hpp"#include "serif/utils/dependencies/snapshot.hpp"This file is a convenience header which includes all of the headers in the dependencies module. Further, we include the detailed documentation for the dependencies module here.
Dependencies Module
Demonstration code for how to use the SERiF computational graph system The broad idea here is that there are many calculations which depend on each other but which may not necessarily always need to be recomputed just because another part of the model has changed. We model this as a combination of a acyclic computational graph, defined at compile time, and a runtime cache of values. The general workflow is that a developer defines the "context" of the computational graph, think of this as all of the inputs to the graph, or maybe more specifically, anything that could change due to some external event (e.g. a time step, a newton step, etc...) This context is probably the most CS intensive part of this code as the developer needs to think about lifetimes and ownership.
Context Contexts are made with the make_dependency_context function, this accepts a variadic pack of bindings between a type and a runtime value. You can generate these yourself using the binding functions and types; however, we provide two convince wrappers which generally developers should consider using.
we are not saying that x is of type keys::Input, this is clearly not the case. Rather, we are registering in the computational graph a binding between the type keys::Input and the runtime value x. Think of this as naming the various inputs to the graph.
Computations After defining a context we can define a computation, computations define both nodes and edges in the computational graph (nodes by the body, edges by the template parameters). Consider the following example (assuming the context from above):
what we have defined here is a node which takes a single input tagged keys::Input and produces an output tagged as keys::Output. Note how we have implicitly registerd a new edge on the graph (even though its not in the context). This is an internal edge which cannot be accessed by the user. Rather, these internal edges allow us to connect computations together to form a larger graph. Consider now the following code
we have now defined two computations, the first takes a single input, whichever input is tagged as tags::X and produces an output tagged as tags::Output1. The second computation takes two inputs, the first is the output of the first computation (lookup by the tag) and the second is whichever input is tagged as tags::Y, and produces an output tagged as tags::Output2. Note that the order of arguments to the lambda must be the same as the order of the tags in the InputList, the dependencies module will automatically order arguments based on the InputList. There is type checking to ensure that the types match, but if you have two inputs of the same type that are flipped there is no way for the system to inspect that and warn you. Further, depending on your compiler and flags there may be implicit casting between convertable types (e.g. int <-> double).
Computation Cache Once we have the computations we need to connect them together, generally use the helper function make_computational_cache which takes a context and a variadic pack of computations. There are a lot of compile time checks which run to ensure that the graph is valid, the context describes what is needed to compute the graph, and that each computation is valid. Generally if a static analysis error or compile error pops up here it probably means there is a mistake in the definition of the context or the computations. I've tried to make these errors as clear as possible; however, there is only so much that you can do with the C++ compiler. I recommend first checking, probably with a drawn-out diagram, that all the tags are correct and what you expect.
A developer can also choose to use the make_computational_graph function which provides a bit more explicit control; however, there is generally very little reason to do this and that function is primarily intended for internal use (for those interested make_computational_cache just calls make_computational_graph and then binds the particular context to the graph). Now consider the following code assuming the context and computations from above:
At this point we have a cache which we can access various parts of; however, no computations have been run yet. To run a computation we must call try_prepare.
try_prepare takes the context and attempts to evaluate the graph using the minimum number of nodal evaluations necessary. This means the first time, since nothing has been cached yet, the entire graph will be evaluated.
Now what we could do is change only one part of the input context and call try_prepare again. Lets say we change only y, such that only func2 is stale.