Why did IEEE specify sqrt(-0) to be -0?! That's … surprising when applied to the interpretation of -0 in the context of complex numbers:
sqrt(complex{-0,+0}) is complex{+0,+0}.
And also pow(-0, 0.5) is +0.
If anything sqrt(-0) should be NaN, but why -0?
#floatingPoint
🚨 Hold onto your slide rules, nerds! A 2019 post reveals the "magic" of floating point numbers, promising more excitement than a math lecture on a rainy Wednesday. 🧙♂️✨ Spoiler alert: the "tricks" are as thrilling as watching paint dry, but at least you won't sprain anything. 😂
http://marc-b-reynolds.github.io/math/2019/02/06/Posit1.html #floatingpoint #magic #mathhumor #nerdlife #techfun #codingantics #HackerNews #ngated
Posit floating point numbers: thin triangles and other tricks (2019)
http://marc-b-reynolds.github.io/math/2019/02/06/Posit1.html
#HackerNews #PositNumbers #FloatingPoint #Mathematics #Triangles #TechTricks #HackerNews
and for the #IEEE754 / #floatingpoint nerds (you know who you are!) here's a much more definitive answer/breakdown of our IEEE Binary FP32 conformance for the Vector Unit! https://github.com/tenstorrent/tt-isa-documentation/blob/main/WormholeB0/TensixTile/TensixCoprocessor/SFPMAD.md#ieee754-conformance--divergence
P.S. See also
(rational 0.1d0)
(rationalize 0.1d0)
etc.
And `integer-decode-float' is worth its weight in gold when trying to find the _exact_ value of a floating-point number.
🚀 Ah, the noble #quest #for "perfect" random floating-point numbers, yet somehow it reads like a 16-minute sleep-inducing lullaby about dividing by zero. 🤔 Who knew the real challenge was turning integers into fractions without losing brain cells in the process? 🙃
https://specbranch.com/posts/fp-rand/ #randomNumbers #perfection #floatingPoint #math #humor #HackerNews #ngated
Perfect Random Floating-Point Numbers
https://specbranch.com/posts/fp-rand/
#HackerNews #PerfectRandomFloatingPointNumbers #FloatingPoint #Math #RandomNumbers #Technology
Is floating point math broken? #math #floatingpoint https://stackoverflow.com/q/588004/1288
#Bash's printf supports %f, but bash itself doesn't support #FloatingPoint math...
Given
float max = numeric_limits<float>::max();
float x = max * max - max * max;
What is the value of x?
So, as a follow-up to signed zeros in complex numbers: Consider a+b, a-b, 1/a+1/b, 1/a-1/b where a and b are 0. or -0. Some obvious ones:
0. + 0. -> 0.
1/0. + 1/0. -> inf
1/0. + 1/-0. -> NaN
-0. - 0. -> -0.
But what is 0. + -0. and 0. - 0.?
FWIW: There's a freely available 2023 paper that's basically "Cliff notes" of the book "Handbook of Floating-point Arithmetic"
Another #FloatingPoint refinement of pair arithmetic. This time on the so-called "sloppy add"
https://arxiv.org/abs/2404.05948
AFAIK: The latest refinement of the accurate building blocks are in this:
https://hal.science/hal-02972245
And there's also weakened constraint versions by Rump & Lang
TC39: Decimal: 0.1+0.2===0.3
"Yeahhhh, I don't need to explain much about this proposal"
😂
#JavaScript #FOSDEM #FloatingPoint
A couple of #FloatingPoint papers that I caught my eye for future reading:
1) A tightening of FastTwoSum knowledge
2) Attempting to generate approximations which account for runtime evaluation errors (with source that implements an external proc for Sollya)
1) https://hal.science/hal-04875749v1
2) https://hal.science/hal-04709615v1
JFC please don't use floating point types for calculating financial transactions or storing monetary values. I just got asked to review some code by someone and it is the first thing I spotted.
Catastrophe... this could have been me, the many times I wrote 3.14159265458 as the "precision" value f #PI 😁
#FloatingPoint #Precision #3.14
Sertifioitu IEEE 754 -hetki Ilmatieteen laitoksella.
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