#floating-point — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #floating-point, aggregated by home.social.
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Alright, future engineers!
**Round-off Error:** Error from storing exact numbers with limited precision in computers.
Ex: 1/3 stored as 0.33333.
Pro-Tip: Use double precision & re-order ops to minimize accumulation in long calculations!
#NumericalAccuracy #FloatingPoint #STEM #StudyNotes -
“In 1980, #Intel released the #Intel8087 #FloatingPoint coprocessor, a chip that could make math up to 100 times faster. As well as arithmetic and square roots, the 8087 computed #transcendental functions including #tangent, #exponentiation, and #logarithms.
But it all depended on a 69-bit adder: "The arithmetic heart of the floating-point execution unit is centered about a #nanomachine comprised of the adder and its related #registers, #shifters and control circuitry," as the patent describes it”
#Silicon / #EE / #Computing <https://www.righto.com/2026/06/intel-8087-adder-reverse-engineered.html>
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“In 1980, #Intel released the #Intel8087 #FloatingPoint coprocessor, a chip that could make math up to 100 times faster. As well as arithmetic and square roots, the 8087 computed #transcendental functions including #tangent, #exponentiation, and #logarithms.
But it all depended on a 69-bit adder: "The arithmetic heart of the floating-point execution unit is centered about a #nanomachine comprised of the adder and its related #registers, #shifters and control circuitry," as the patent describes it”
#Silicon / #EE / #Computing <https://www.righto.com/2026/06/intel-8087-adder-reverse-engineered.html>
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Microcode inside the Intel 8087 floating-point chip: register exchange
https://www.righto.com/2026/05/microcode-inside-intel-8087-floating.html
#HackerNews #Microcode #Intel8087 #FloatingPoint #Chip #Technology #RegisterExchange
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Microcode inside the Intel 8087 floating-point chip: register exchange
https://www.righto.com/2026/05/microcode-inside-intel-8087-floating.html
#HackerNews #Microcode #Intel8087 #FloatingPoint #Chip #Technology #RegisterExchange
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Fc, a lossless compressor for floating-point streams
https://github.com/xtellect/fc
#HackerNews #losslesscompression #floatingpoint #streams #dataengineering #softwaredevelopment
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Fc, a lossless compressor for floating-point streams
https://github.com/xtellect/fc
#HackerNews #losslesscompression #floatingpoint #streams #dataengineering #softwaredevelopment
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Yikes:
A good example of the consequences of poor API design.
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Yikes:
A good example of the consequences of poor API design.
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An excellent introduction to #quantization used for #LLMs 👌🏽:
“Quantization From The Ground Up”, Sam Rose, Ngrok (https://ngrok.com/blog/quantization).
On HN: https://news.ycombinator.com/item?id=47519295
#AI #Math #FloatingPoint #NumericalAnalysis #Numbers #NeuralNetworks #Precision #Accuracy
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An excellent introduction to #quantization used for #LLMs 👌🏽:
“Quantization From The Ground Up”, Sam Rose, Ngrok (https://ngrok.com/blog/quantization).
On HN: https://news.ycombinator.com/item?id=47519295
#AI #Math #FloatingPoint #NumericalAnalysis #Numbers #NeuralNetworks #Precision #Accuracy
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🧐:
“It’s OK To Compare Floating-Points For Equality”, Nikita Lisitsa (https://lisyarus.github.io/blog/posts/its-ok-to-compare-floating-points-for-equality.html).
Via HN: https://news.ycombinator.com/item?id=47767398
On Lobsters: https://lobste.rs/s/l6c9wi/it_s_ok_compare_floating_points_for
#Math #Programming #FloatingPoint #NumericalAnalysis #Precision #Errors #Numerics
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🧐:
“It’s OK To Compare Floating-Points For Equality”, Nikita Lisitsa (https://lisyarus.github.io/blog/posts/its-ok-to-compare-floating-points-for-equality.html).
Via HN: https://news.ycombinator.com/item?id=47767398
On Lobsters: https://lobste.rs/s/l6c9wi/it_s_ok_compare_floating_points_for
#Math #Programming #FloatingPoint #NumericalAnalysis #Precision #Errors #Numerics
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Ah yes, another riveting tale of microcontrollers—because who doesn't love a deep dive into floating point #arithmetic on a #hobbyist chip? 🙄 Spoiler: if you enjoy endless links leading to nowhere and cryptic jargon, this post is your Disneyland. 🎢 Go ahead, embrace the thrill of being hopelessly confused! 🤓
https://danielmangum.com/posts/floating-point-cortex-m/ #microcontrollers #floatingpoint #techhumor #confusion #HackerNews #ngated -
Ah yes, another riveting tale of microcontrollers—because who doesn't love a deep dive into floating point #arithmetic on a #hobbyist chip? 🙄 Spoiler: if you enjoy endless links leading to nowhere and cryptic jargon, this post is your Disneyland. 🎢 Go ahead, embrace the thrill of being hopelessly confused! 🤓
https://danielmangum.com/posts/floating-point-cortex-m/ #microcontrollers #floatingpoint #techhumor #confusion #HackerNews #ngated -
New blog post! I really hope I'll get a decent amount of people mad with this one 😈😈😈
It's OK to compare floating-points for equality:
https://lisyarus.github.io/blog/posts/its-ok-to-compare-floating-points-for-equality.html
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New blog post! I really hope I'll get a decent amount of people mad with this one 😈😈😈
It's OK to compare floating-points for equality:
https://lisyarus.github.io/blog/posts/its-ok-to-compare-floating-points-for-equality.html
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Herbie: Automatically improve imprecise floating point formulas
https://herbie.uwplse.org/doc/latest/tutorial.html
#HackerNews #Herbie #FloatingPoint #Improvement #Precision #Algorithms #Tutorial
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Herbie: Automatically improve imprecise floating point formulas
https://herbie.uwplse.org/doc/latest/tutorial.html
#HackerNews #Herbie #FloatingPoint #Improvement #Precision #Algorithms #Tutorial
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🚀✨ Behold, the thrilling tale of querying 3 billion vectors—a journey where Vicki Boykis heroically attempts to decode Jeff Dean's cryptic wisdom on #mapreduce. Spoiler: It's basically a nerdy treasure hunt for semantically similar items, but with more floating-point numbers than your brain can handle. 💻🧠
https://vickiboykis.com/2026/02/21/querying-3-billion-vectors/ #HackerNews #VickiBoykis #treasureHunt #techJourney #floatingPoint #HackerNews #ngated -
🚀✨ Behold, the thrilling tale of querying 3 billion vectors—a journey where Vicki Boykis heroically attempts to decode Jeff Dean's cryptic wisdom on #mapreduce. Spoiler: It's basically a nerdy treasure hunt for semantically similar items, but with more floating-point numbers than your brain can handle. 💻🧠
https://vickiboykis.com/2026/02/21/querying-3-billion-vectors/ #HackerNews #VickiBoykis #treasureHunt #techJourney #floatingPoint #HackerNews #ngated -
0.1 + 0.2 In SQL = 0.30000000000000004?!
SQL floating point precision is broken! Adding 0.1 + 0.2 creates a number with precision errors. This breaks financial calculations! Watch!
#sql #sqltricks #database #sqltutorial #floatingpoint #precision #sqlquiz #codingchallenge #sqlshorts #sqlbugs #numericprecision #sqlwtf
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0.1 + 0.2 In SQL = 0.30000000000000004?!
SQL floating point precision is broken! Adding 0.1 + 0.2 creates a number with precision errors. This breaks financial calculations! Watch!
#sql #sqltricks #database #sqltutorial #floatingpoint #precision #sqlquiz #codingchallenge #sqlshorts #sqlbugs #numericprecision #sqlwtf
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Another excellent post 👌🏽 from Russ Cox 👇🏽🫡:
“Floating-Point Printing And Parsing Can Be Simple And Fast” (https://research.swtch.com/fp).
On HN: https://news.ycombinator.com/item?id=46685317
On Lobsters: https://lobste.rs/s/nbsclr/floating_point_printing_parsing_can_be
#Programming #Math #FloatingPoint #Numbers #PLDI #Parsing #Printing
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Another excellent post 👌🏽 from Russ Cox 👇🏽🫡:
“Floating-Point Printing And Parsing Can Be Simple And Fast” (https://research.swtch.com/fp).
On HN: https://news.ycombinator.com/item?id=46685317
On Lobsters: https://lobste.rs/s/nbsclr/floating_point_printing_parsing_can_be
#Programming #Math #FloatingPoint #Numbers #PLDI #Parsing #Printing
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Learn about numeric data types (and the number 998,001) in Python
The value 1 / 998,001 has an interesting property, but to see it in Python you need to learn about numeric data types.
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Learn about numeric data types (and the number 998,001) in Python
The value 1 / 998,001 has an interesting property, but to see it in Python you need to learn about numeric data types.
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Проектирование FPU блока, работающего на частоте 7 ГГц
Данный проект представляет собой современный вычислительный блок, предназначенный для обработки научных и графических данных на сверхвысокой частоте 7 ГГц . Архитектура построена на базе 128-битных векторов и 5-стадийного конвейера.
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Conditions in the Intel 8087 floating-point chip's microcode
https://www.righto.com/2025/12/8087-microcode-conditions.html
#HackerNews #Intel8087 #FloatingPoint #Microcode #Technology #History #ComputerArchitecture
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Conditions in the Intel 8087 floating-point chip's microcode
https://www.righto.com/2025/12/8087-microcode-conditions.html
#HackerNews #Intel8087 #FloatingPoint #Microcode #Technology #History #ComputerArchitecture
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How to Stop Floating Point Money Bugs
0.1 + 0.2 is not 0.3 in JavaScript.
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How to Stop Floating Point Money Bugs
0.1 + 0.2 is not 0.3 in JavaScript.
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Il faudrait un diplôme avant d'autoriser l'utilisation des nombres à virgule flottante.
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Zmij: Faster floating point double-to-string conversion
https://vitaut.net/posts/2025/faster-dtoa/
#HackerNews #Zmij #FloatingPoint #Conversion #FasterDtoa #Programming #TechNews
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Zmij: Faster floating point double-to-string conversion
https://vitaut.net/posts/2025/faster-dtoa/
#HackerNews #Zmij #FloatingPoint #Conversion #FasterDtoa #Programming #TechNews
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0.1 + 0.2 = 0.30000000000000004?!
JavaScript math is broken! Adding 0.1 + 0.2 creates a number that will shock you. This is why financial apps fail! Watch the chaos!
#javascript #javascripttricks #codingtips #programmingtutorial #floatingpoint #javascriptquiz #codingchallenge #javascriptshorts #javascriptbugs #mathprecision #javascriptwtf #numberprecision
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0.1 + 0.2 = 0.30000000000000004?!
JavaScript math is broken! Adding 0.1 + 0.2 creates a number that will shock you. This is why financial apps fail! Watch the chaos!
#javascript #javascripttricks #codingtips #programmingtutorial #floatingpoint #javascriptquiz #codingchallenge #javascriptshorts #javascriptbugs #mathprecision #javascriptwtf #numberprecision
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This is still the best thing ever: https://i.kym-cdn.com/photos/images/newsfeed/002/128/164/13b.png #FloatingPoint #Meme #ProgrammerHumor — #microblogging #MicroToot: 137 characters
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This is still the best thing ever: https://i.kym-cdn.com/photos/images/newsfeed/002/128/164/13b.png #FloatingPoint #Meme #ProgrammerHumor — #microblogging #MicroToot: 137 characters
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i just found https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/ by @randomascii and i am amazed.
thank you for this great post!
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Note that this isn't Python-specific behaviour. This is required by the IEEE-754 floating-point standard, which Python (and most other runtimes) conform to.
NaN, Inf, -Inf, comparison rules, exceptions ... it's all in there.
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What kind of mishegus is this?
"There are ARM processors that have mixed-endian floating-point representation for double-precision numbers: each of the two 32-bit words is stored as little-endian, but the most significant word is stored first." -
Thank you for looking it up and for the pointer.
Yes, Henry Baker has done many good deeds.There's a nice little puzzle about this format in the MIT HAKMEM.
I ask not to publish a solution, even if obvious, so it can be used to try AI.
(AI couldn't solve it about a year ago; I haven't tried it since.)Find a non-zero number whose two internal representations as (1) a machine integer and (2) a floating-point value have the same bits.
Continued.
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