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gregat.es
| | pavpanchekha.com
Arbitrary Precision, not Arbitrary Accuracy
2.9 parsecs away

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| | [AI summary] The article discusses the limitations of arbitrary precision arithmetic in avoiding floating point rounding errors and advocates for expression rearrangement as a more effective solution.
| | orlp.net
Ordering Numbers, How Hard Can It Be? | orlp.net
4.0 parsecs away

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| | [AI summary] A deep dive into the complexities and pitfalls of comparing different numeric types (integers and floating-point) across various programming languages and the CPU architecture
| | blog.m-ou.se
Converting Integers to Floats Using Hyperfocus - Mara's Blog
3.3 parsecs away

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| | A few years ago, due to some random chain of events, I ended up implementing a conversion from 128 bit integers to 64 bit floats. This would've turned out to be a complete waste of time, except that my final version is faster than the builtin conversion of every compiler I tested. In this blog post, I'll explain what happened, how floats work, how this conversion works, and how it got a bit out of hand.
| | pavpanchekha.com
Floating Point Error in the Small
30.8 parsecs away

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| [AI summary] The blog post discusses a floating-point error example where the expression sqrt(x^2) leads to significant inaccuracies due to numerical overflow and underflow, highlighting how even accurate operations can compose into an inaccurate result.