/explore

Click through on any links that interest you or select the planets on the right to continue exploring the Outer Web.
You are here

 marc-b-reynolds.github.io
A fast path floating point underflow test elision from absorption
| | nhigham.com
Half Precision Arithmetic: fp16 Versus bfloat16 - Nick Higham
5.2 parsecs away

Travel
| | The 2008 revision of the IEEE Standard for Floating-Point Arithmetic introduced a half precision 16-bit floating point format, known as fp16, as a storage format. Various manufacturers have adopted fp16 for computation, using the obvious extension of the rules for the fp32 (single precision) and fp64 (double precision) formats. For example, fp16 is supported by...
| | orlp.net
Ordering Numbers, How Hard Can It Be? | orlp.net
3.6 parsecs away

Travel
| | [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
| | codingnest.com
The Little Things: Comparing Floating Point Numbers- The Coding Nest
3.2 parsecs away

Travel
| | There is a lot of confusion about floating-point numbers and a lot of bad advice going around. IEEE-754 floating-point numbers are a complex beast, and comparing them is not always easy, but in this post, we will take a look at different approaches and their tradeoffs.
| | pavpanchekha.com
Floating Point Error in the Small
15.1 parsecs away

Travel
| [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.