Enhance SymPy Integer Division

C Programming, Python, Algorithm, Software Architecture, C++ Programming, Mathematics, Software Development, Software Engineering · I’m working on a personal project that leans heavily on SymPy, and I’ve hit a limitation with the way the library handles division when both operands are integers. What I need is a clean modification to SymPy’s source so I can keep every operation strictly in the integer domain—avoiding automatic promotion to Rational objects—while preserving all of SymPy’s usual behaviour for non-integer or mixed-type inputs.

Here’s what the job entails:

• Identify the precise spot in SymPy’s core (likely sympy/core/numbers.py or related) where integer division is resolved. • Implement a path that returns the floor-divided Integer result (e.g. 7/3 → 2) or, if you prefer, expose a switch/flag or subclass that activates this behaviour only when requested so the standard API remains intact for most users. • Maintain compatibility with SymPy’s assumptions system and ensure no regressions elsewhere; all existing unit tests must still pass. • Supply your own focused test cases that demonstrate the new integer-division logic and show that speed or memory footprint is at least on par with the original code. • Deliverables: a patch (or fork/branch) ready to merge, plus a short demo script that I