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by MaxBarraclough
2040 days ago
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> floats are exact It's not clear what you're getting at here. Are you just saying that each floating-point value precisely represents a real number? Or are you saying that floating-point arithmetic is often exact? [0] My own pedantic nitpick: the article states that but BigDecimals are [exact]. BigDecimal is only exact in the way floats are exact. BigDecimal has arbitrary precision, but is not able to precisely represent every real. There's no way to come up with a system that would be capable of doing this. No matter how much memory you throw at BigDecimal, you can't precisely represent pi. [0] Sterbenz Lemma, on which there are surprisingly few good sources. See page 45 of (PDF) http://lyoncalcul.univ-lyon1.fr/ed/DOCS_2012-2013/FloatingPo... |
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