Arthur Whitney is showing how to build an array language using C in array language form.
AW is known for kdb+ which is often used in finance due to its extreme performance properties and ability for quants to quickly explore ideas.
Personally, to get a better handle on how array languages worked, I implemented KlongPy which is a python implementation of Klong, which descends from K (which AW wrote).
You have to play with this stuff to understand it intuitively.
Ha! For those of us who were in the Morgan Stanley Fixed Income group for many years in the 1990s and 2000s AW is known for APLus which was used extensively for modeling and application work.
There were a lot of different and kind of weird attempts at this in the industry. The basic problem is that recalculating DAGs and monte-carlo simulations using a ton of floating point math was extremely expensive. Excel was way too slow, C++ required expert programmers and much better organization of programming teams to figure how to coordinate cached intermediate values. MS went with APL, which reduced a lot of the boilerplate and allowed for relatively easy memoization. GS went with SecDB which treated computation as memoized DAGs. Not sure what the others did
FWIW, kdb+ is not that extremely performant - there's a lot of things that could be faster, and a lot of limitations that mean that you often would be better of not using a DB at all (or to use another DB and just pull everything you might need into memory). There is/was a tradeoff in that many things that would make it faster would require more code, and a cool thing about q/kdb+ is that it takes so little code you don't have I$ issues, but I think that's a tradeoff that doesn't make as much sense anymore in 2023.
What it's really great for is that it's really neatly integrated into the q language, which is great for exploratory programming, and it's fast enough not to get in the way.
I've encountered this idea that k's terseness somehow improves instruction cache use before. Can you explain further? It seems nonsensical, since instruction caching is about machine code, not source code. Why should it use the instruction cache better than any other JIT? Or is it interpreted, in which case "the terseness of the language improves cache use" might seem more of an admission than a boast... :-)
Thanks the insights. Not to over do self promotion, but aside from learning, the main reason I made KlongPy was to allow for optionality with the ecosystem. Use Klong for array operations and other libraries for standard stuff.
Basically it is an APL-like language that is used (or was, I think it has moved on to a successor language called q now) in the proprietary kdb+ system used by some financial companies. Even if you aren't into finance it is a fun language to play around with.
