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Should Julia guarantee semi-monotonic where appropriate (or even monotonic) math?

Julia Programming Language
Should Julia guarantee semi-monotonic where appropriate (or even monotonic) math?
Continuing the discussion from Formalizing Julia in Lean (and finding 400+ bugs in Base): I see at the Java docs [see linked from the issue] even the sine function is guaranteed semi-monotonic… Semi-monotonic doesn’t imply correctly rounded I think i.e. it’s a stricter goal. I just discovered the non-monotonic bug and existence of semi- definition. Correctly rounding is a trade-off might be slower, not sure about semi-.

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