Avoid hermite_form in solve_right if possible #40276
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Currently, hermite_form can be randomly very slow (#33418, flintlib/flint#389)
When
rank()==ncols(), the solution is uniquely determined, so that an alternative algorithm is to solve the system over the fraction field, then convert it back to the ring. And computing rank is much faster — the current default algorithm for ℤ picks a random prime p and compute rank modulo p.This PR detects the full-rank case and implement the alternative algorithm.
📝 Checklist
⌛ Dependencies