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marc-b-reynolds.bsky.social
https://marc-b-reynolds.github.io/ https://mastodon.gamedev.place/@mbr
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Previously mentioned Hastings 1955 #approximation and remembered I have #sollya files for some. This is the first few atan approximations. I'm sharing because it's an example of using a "seed" approximation to refine the coefficients using sollya. gist.github.com/Marc-B-Reyno...

submitted 20 days ago • 1 comment

Another #FloatingPoint refinement of pair arithmetic. This time on the so-called "sloppy add" arxiv.org/abs/2404.05948 AFIK: latest refinement of the accurate building blocks are in this: hal.science/hal-02972245 & weakened constraint versions by Rump & Lang www.tuhh.de/ti3/paper/ru...

submitted 20 days ago • 0 comments

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 (w source 4 external proc for Sollya) 1) hal.science/hal-04875749v1 2) hal.science/hal-04709615v1

submitted 34 days ago • 0 comments

An old blog post by Keith Schwarz that builds (in an easy IMHO to follow way) sampling of a discrete distribution using "alias tables" and building via Vose's method. www.keithschwarz.com/darts-dice-c...

submitted 42 days ago • 1 comment

A mini "Happy New Year" blog post on a scheme for "drop rates": marc-b-reynolds.github.io/math/2025/01...

submitted 58 days ago • 0 comments

A little over a month ago the Zed (editor) team put up a blog post on their text representation zed.dev/blog/zed-dec... (A B-tree of 128 byte payloads...interesting) and an optimization related to that which is "find n^th bit set" for precomputed return positions in payload side-line info.

submitted 69 days ago • 1 comment

Tossed up a method for generating the parameterized additive constant of a PCG and babble about the reasoning with some asides. marc-b-reynolds.github.io/math/2024/12...

submitted 79 days ago • 0 comments

Tossed together a gist of tomfoolery: 1) generate a random number with a given population count (portable, bisection method) 2) perform a random bit permutation of the input. (needs PDEP or SAG like op in hardware to be usable) 3) not quite random versions of (2) (continued)

submitted 84 days ago • 1 comment

Following over 1.5 years of hard work (w/@njroussel.bsky.social &@rtabbara.bsky.social), we just released a brand-new version of Dr.Jit (v1.0), my lab's differentiable rendering compiler along with an updated Mitsuba (v3.6). The list of changes is insanely long—here is what we're most excited about🧵

submitted 94 days ago • 4 comments

CRC Press is releasing a new book on the IEEE floating point killing format: Posits An old blog post on the format: marc-b-reynolds.github.io/math/2019/02...

submitted 100 days ago • 0 comments