julia
775e1fdf - Improve `rationalize` fallback result (#61297)

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45 days ago
Improve `rationalize` fallback result (#61297) Fixes #61296 When the result of `rationalize(T, x, tol)` doesn't fit in `T` (ie. rational components overflows `T`) the function catches the error and returns the last convergent that has been computed, which is not necessarily the best rational approximation of `x` for `T`. With this fix, the catch block tries to find a semi-convegent closer to `x` than the last convergent and if such rational exists returns it, otherwise it returns the last convergent. --------- Co-authored-by: Andy Dienes <51664769+adienes@users.noreply.github.com>
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