subroutines
A subroutine is a named sequence of instructions within a program that can be invoked from multiple places. It accepts zero or more input values, may produce a result, and returns control to the caller after completing its task.
In many languages, the terms subroutine, procedure, and function refer to similar concepts, with variation in
Subroutines enable modularity, reuse, and clarity by encapsulating a task. They typically have parameters, which may
Control flow transfers when a subroutine is called and returns when finished. Subroutines may be recursive,
Implementation notes: Subroutine calls carry overhead compared to inlined code. Techniques such as tail call optimization
History and usage: Subroutines appeared in early procedural programming and remain fundamental for structuring programs, enabling