#floating-point — Public Fediverse posts

sintesi quasi massima di Matematica Artistica
pubblicata su Zenodo e monetaviva.org

matematica discreta con le 4 operazioni principali definite e con l'ultima usando metodi moderni non banali e non disponibile in epoca remota
epoca cui tale semplicissima matematica sembra risalire

definizione fondamentale
Il Piano Artistico misura la retta reale

s'intende che si può misurare l'universo usando solo interi
vediamo come

equazione fondamentale...

1/n
#science #mathematics #floatingpoint

sintesi quasi massima di Matematica Artistica
pubblicata su Zenodo e monetaviva.org

matematica discreta con le 4 operazioni principali definite e con l'ultima usando metodi moderni non banali e non disponibile in epoca remota
epoca cui tale semplicissima matematica sembra risalire

definizione fondamentale
Il Piano Artistico misura la retta reale

s'intende che si può misurare l'universo usando solo interi
vediamo come

equazione fondamentale...

1/n
#science #mathematics #floatingpoint

sintesi quasi massima di Matematica Artistica
pubblicata su Zenodo e monetaviva.org

matematica discreta con le 4 operazioni principali definite e con l'ultima usando metodi moderni non banali e non disponibile in epoca remota
epoca cui tale semplicissima matematica sembra risalire

definizione fondamentale
Il Piano Artistico misura la retta reale

s'intende che si può misurare l'universo usando solo interi
vediamo come

equazione fondamentale...

1/n
#science #mathematics #floatingpoint

sintesi quasi massima di Matematica Artistica
pubblicata su Zenodo e monetaviva.org

matematica discreta con le 4 operazioni principali definite e con l'ultima usando metodi moderni non banali e non disponibile in epoca remota
epoca cui tale semplicissima matematica sembra risalire

definizione fondamentale
Il Piano Artistico misura la retta reale

s'intende che si può misurare l'universo usando solo interi
vediamo come

equazione fondamentale...

1/n
#science #mathematics #floatingpoint

sintesi quasi massima di Matematica Artistica
pubblicata su Zenodo e monetaviva.org

matematica discreta con le 4 operazioni principali definite e con l'ultima usando metodi moderni non banali e non disponibile in epoca remota
epoca cui tale semplicissima matematica sembra risalire

definizione fondamentale
Il Piano Artistico misura la retta reale

s'intende che si può misurare l'universo usando solo interi
vediamo come

equazione fondamentale...

1/n
#science #mathematics #floatingpoint

A post in which I claim it's no work at all to perform integer division in floating point.
https://marc-b-reynolds.github.io/math/2026/08/10/IntDivByFP.html

#floatingpoint #optimization

A post in which I claim it's no work at all to perform integer division in floating point.
https://marc-b-reynolds.github.io/math/2026/08/10/IntDivByFP.html

#floatingpoint #optimization

A post in which I claim it's no work at all to perform integer division in floating point.
https://marc-b-reynolds.github.io/math/2026/08/10/IntDivByFP.html

#floatingpoint #optimization

A post in which I claim it's no work at all to perform integer division in floating point.
https://marc-b-reynolds.github.io/math/2026/08/10/IntDivByFP.html

#floatingpoint #optimization

A post in which I claim it's no work at all to perform integer division in floating point.
https://marc-b-reynolds.github.io/math/2026/08/10/IntDivByFP.html

#floatingpoint #optimization

As an author, you sometimes rework an explanation several times before it feels right. That happened to me with a section on how mathematical operators and functions are implemented in Java, which I needed for my current book on the Java Vector API. I have published the section here in case others find it useful: https://www.tutego.de/blog/javainsel/2026/08/what-actually-runs-when-you-call-math-sin-java-source-fdlibm-and-what-hotspot-does-instead/
#java #compiler #floatingpoint #technicalwriting

As an author, you sometimes rework an explanation several times before it feels right. That happened to me with a section on how mathematical operators and functions are implemented in Java, which I needed for my current book on the Java Vector API. I have published the section here in case others find it useful: https://www.tutego.de/blog/javainsel/2026/08/what-actually-runs-when-you-call-math-sin-java-source-fdlibm-and-what-hotspot-does-instead/
#java #compiler #floatingpoint #technicalwriting

As an author, you sometimes rework an explanation several times before it feels right. That happened to me with a section on how mathematical operators and functions are implemented in Java, which I needed for my current book on the Java Vector API. I have published the section here in case others find it useful: https://www.tutego.de/blog/javainsel/2026/08/what-actually-runs-when-you-call-math-sin-java-source-fdlibm-and-what-hotspot-does-instead/
#java #compiler #floatingpoint #technicalwriting

As an author, you sometimes rework an explanation several times before it feels right. That happened to me with a section on how mathematical operators and functions are implemented in Java, which I needed for my current book on the Java Vector API. I have published the section here in case others find it useful: https://www.tutego.de/blog/javainsel/2026/08/what-actually-runs-when-you-call-math-sin-java-source-fdlibm-and-what-hotspot-does-instead/
#java #compiler #floatingpoint #technicalwriting

As an author, you sometimes rework an explanation several times before it feels right. That happened to me with a section on how mathematical operators and functions are implemented in Java, which I needed for my current book on the Java Vector API. I have published the section here in case others find it useful: https://www.tutego.de/blog/javainsel/2026/08/what-actually-runs-when-you-call-math-sin-java-source-fdlibm-and-what-hotspot-does-instead/
#java #compiler #floatingpoint #technicalwriting

Reading floating point numbers with Mints

https://web.brid.gy/r/https://eclecticlight.co/2026/08/01/reading-floating-point-numbers-with-mints/

Reading floating point numbers with Mints

https://fed.brid.gy/r/https://eclecticlight.co/2026/08/01/reading-floating-point-numbers-with-mints/

Reading floating point numbers with Mints

https://fed.brid.gy/r/https://eclecticlight.co/2026/08/01/reading-floating-point-numbers-with-mints/

Reading floating point numbers with Mints

https://fed.brid.gy/r/https://eclecticlight.co/2026/08/01/reading-floating-point-numbers-with-mints/

Reading floating point numbers with Mints

https://web.brid.gy/r/https://eclecticlight.co/2026/08/01/reading-floating-point-numbers-with-mints/

Same theme as "checking" floating-point options: a clean-up and better commented version of "override all the options I can" in a header.

https://github.com/Marc-B-Reynolds/fp_compiler_shield/blob/main/fp_compiler_hammer.h

example: https://godbolt.org/z/cM8M3Tjzc

#floatingpoint #optimization

Same theme as "checking" floating-point options: a clean-up and better commented version of "override all the options I can" in a header.

https://github.com/Marc-B-Reynolds/fp_compiler_shield/blob/main/fp_compiler_hammer.h

example: https://godbolt.org/z/cM8M3Tjzc

#floatingpoint #optimization

Same theme as "checking" floating-point options: a clean-up and better commented version of "override all the options I can" in a header.

https://github.com/Marc-B-Reynolds/fp_compiler_shield/blob/main/fp_compiler_hammer.h

example: https://godbolt.org/z/cM8M3Tjzc

#floatingpoint #optimization

Same theme as "checking" floating-point options: a clean-up and better commented version of "override all the options I can" in a header.

https://github.com/Marc-B-Reynolds/fp_compiler_shield/blob/main/fp_compiler_hammer.h

example: https://godbolt.org/z/cM8M3Tjzc

#floatingpoint #optimization

Same theme as "checking" floating-point options: a clean-up and better commented version of "override all the options I can" in a header.

https://github.com/Marc-B-Reynolds/fp_compiler_shield/blob/main/fp_compiler_hammer.h

example: https://godbolt.org/z/cM8M3Tjzc

#floatingpoint #optimization

Somewhat inspired by @erin_catto releasing Box3D I've tossed together a header for attempting to detect "hostile" floating point compiler options.

The idea is an attempt (with minimal friction) to spot problems including peeps that grab and compile the code.

first/rough pass header:
https://gist.github.com/Marc-B-Reynolds/1e2ef2a7e59d100e39d26cf69079ded6

godbolt example:
https://godbolt.org/z/b5aPW71Gd

#floatingpoint #optimization

Somewhat inspired by @erin_catto releasing Box3D I've tossed together a header for attempting to detect "hostile" floating point compiler options.

The idea is an attempt (with minimal friction) to spot problems including peeps that grab and compile the code.

first/rough pass header:
https://gist.github.com/Marc-B-Reynolds/1e2ef2a7e59d100e39d26cf69079ded6

godbolt example:
https://godbolt.org/z/b5aPW71Gd

#floatingpoint #optimization

Somewhat inspired by @erin_catto releasing Box3D I've tossed together a header for attempting to detect "hostile" floating point compiler options.

The idea is an attempt (with minimal friction) to spot problems including peeps that grab and compile the code.

first/rough pass header:
https://gist.github.com/Marc-B-Reynolds/1e2ef2a7e59d100e39d26cf69079ded6

godbolt example:
https://godbolt.org/z/b5aPW71Gd

#floatingpoint #optimization

Somewhat inspired by @erin_catto releasing Box3D I've tossed together a header for attempting to detect "hostile" floating point compiler options.

The idea is an attempt (with minimal friction) to spot problems including peeps that grab and compile the code.

first/rough pass header:
https://gist.github.com/Marc-B-Reynolds/1e2ef2a7e59d100e39d26cf69079ded6

godbolt example:
https://godbolt.org/z/b5aPW71Gd

#floatingpoint #optimization

Somewhat inspired by @erin_catto releasing Box3D I've tossed together a header for attempting to detect "hostile" floating point compiler options.

The idea is an attempt (with minimal friction) to spot problems including peeps that grab and compile the code.

first/rough pass header:
https://gist.github.com/Marc-B-Reynolds/1e2ef2a7e59d100e39d26cf69079ded6

godbolt example:
https://godbolt.org/z/b5aPW71Gd

#floatingpoint #optimization

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>

“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>

“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>

“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>

“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>

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

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

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

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

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

Fc, a lossless compressor for floating-point streams

https://github.com/xtellect/fc

#HackerNews #losslesscompression #floatingpoint #streams #dataengineering #softwaredevelopment

Fc, a lossless compressor for floating-point streams

https://github.com/xtellect/fc

#HackerNews #losslesscompression #floatingpoint #streams #dataengineering #softwaredevelopment

Fc, a lossless compressor for floating-point streams

https://github.com/xtellect/fc

#HackerNews #losslesscompression #floatingpoint #streams #dataengineering #softwaredevelopment

Fc, a lossless compressor for floating-point streams

https://github.com/xtellect/fc

#HackerNews #losslesscompression #floatingpoint #streams #dataengineering #softwaredevelopment

Fc, a lossless compressor for floating-point streams

https://github.com/xtellect/fc

#HackerNews #losslesscompression #floatingpoint #streams #dataengineering #softwaredevelopment

Yikes:

https://grep.app/search?q=sort.%2A%5Cn%2A.%2A.partial_cmp.%2Aunwrap_or.%2AOrdering&regexp=true&case=true

A good example of the consequences of poor API design.

#rust #FloatingPoint

Yikes:

https://grep.app/search?q=sort.%2A%5Cn%2A.%2A.partial_cmp.%2Aunwrap_or.%2AOrdering&regexp=true&case=true

A good example of the consequences of poor API design.

#rust #FloatingPoint

Yikes:

https://grep.app/search?q=sort.%2A%5Cn%2A.%2A.partial_cmp.%2Aunwrap_or.%2AOrdering&regexp=true&case=true

A good example of the consequences of poor API design.

#rust #FloatingPoint

Yikes:

https://grep.app/search?q=sort.%2A%5Cn%2A.%2A.partial_cmp.%2Aunwrap_or.%2AOrdering&regexp=true&case=true

A good example of the consequences of poor API design.

#rust #FloatingPoint

Yikes:

https://grep.app/search?q=sort.%2A%5Cn%2A.%2A.partial_cmp.%2Aunwrap_or.%2AOrdering&regexp=true&case=true

A good example of the consequences of poor API design.

#rust #FloatingPoint

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

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

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

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

🧐:

“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

🧐:

“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

🧐:

“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

🧐:

“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

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