[feature](Nereids): Add DAG to store function dependencies #33882
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Proposed changes
This PR introduces a Directed Acyclic Graph (DAG) to store and manage function dependencies within the project. The key changes include:
Define a FuncDepsDAG class to represent each node in the graph, storing the function name and its dependencies.
Create a DAG class to manage the overall graph, with methods to add nodes, add edges (dependencies), and perform graph traversals.n dependencies for each plan:
Implement a method to traverse the DAG and compute the dependencies for each function in a given plan.
Ensure that the computed dependencies are properly stored and associated with the corresponding functions.
Add unit tests:
Create test cases to verify the correctness of the DAG implementation.
Test scenarios for adding nodes, adding edges, and computing function dependencies.
Ensure proper handling of cyclic dependencies and other edge cases.
Further comments
If this is a relatively large or complex change, kick off the discussion at [email protected] by explaining why you chose the solution you did and what alternatives you considered, etc...