So far, `algebraic_numbers compare_core ` handles an edge case
incorrectly:
- If the two compared numbers (`a`, `b`) are different,
- the intervals still overlap after refinements, and
- both a and b are a root of the second polynomial (`cell_b->m_p`), e.g.
they are the first and second root
then the method would return `sign_zero` (i.e. "equal"). This behavior
can be replicated with the provided test case (before the fix). This
requires `algebraic.factor=false`, though i first encountered it during
solver runs on QF_NRA instances with the default
`algebraic.factor=true`, which apparently means that the polynomials for
anums are still not always factored.
The fix is to compare the interval bounds of b to a and vice versa. Then
the Sturm-Tarski check is only run if `a` and `b` both lie in the
intersection of the intervals, because only then is it guaranteed to be
correct.
* Initial plan
* Add comprehensive test coverage for math/lp and math/polynomial modules
Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>
* Finalize test coverage improvements with corrected implementations
Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>
* Fix compilation errors in test files
- Fix algebraic_numbers.cpp: Simplified tests to use basic algebraic operations without polynomial manager dependencies
- Fix polynomial_factorization.cpp: Corrected upolynomial::factors usage and API calls
- Fix nla_intervals.cpp: Changed 'solver' to 'nla::core' and fixed lar_solver constructor
- Fix monomial_bounds.cpp: Updated class names and method calls to match current NLA API
These changes address the scoped_numeral compilation errors and other API mismatches identified in the build.
Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>
* Fix monomial bounds test assertions to use consistent values
Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>
---------
Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>
