Vectorized and performance-portable Quicksort (2022)

162 pointsposted 7 hours ago
by mococa

24 Comments

bee_rider

6 hours ago

Well, it came out a while ago, so maybe we can be a bit silly:

There’s something sort of beautiful about mergesort and heapsort. Their names tell you what their main idea is, and how they work is immediately obvious.

Quicksort, on the other hand, has nothing beautiful about it and is named after it’s one redeeming feature (that it is quick for a lot of cases).

rodrigosetti

6 hours ago

Maybe if Hoare had called it Partitionsort in 1960, the name wouldn’t have been memorable enough to catch on and become so popular.

thesz

6 hours ago

The beauties of quicksort are that it sorts in-place and that it is embarrassingly simple.

The in-place property can be utilized to make it very close to cache-oblivious algorithm.

teiferer

6 hours ago

How is it less beautiful?

Honest question, curious to hear about what that means to you.

drdexebtjl

4 hours ago

To me it’s the fact that if you try to do it in real life (sorting a collection of objects in the real world), you just end up doing merge sort by accident.

It feels like an optimization of merge sort for computers, rather than a different approach.

This is also reflected in the way that it’s usually taught. Normally merge sort is presented first, and quick sort follows from observations about what would happen if you picked different partition points instead of dividing them in half, and how you can reduce the additional space requirements.

bee_rider

2 hours ago

Just look at the little video on Wikipedia, it is an absolute mess of elements being thrown around. Chaos.

Real answer: I tutored beginner programming students for a bit and I guess I just thought quicksort didn’t fit in very well.

Mergesort is an elegant and straightforward example of recursion. Heapsort—you can make a priority queue and then if you plop a heap in there, that’s heapsort. I like the story.

With quicksort, it isn’t that complicated or anything but it doesn’t feel like it embodies an idea in the way the other two do. And it is annoying that the real big-O cost of the popular sorting algorithm is n^2, and the bad case is really obvious. I guess there’s value to getting over the hump of “well heuristics are a thing and big-O doesn’t tell you everything” but I still don’t like it.

minitech

6 hours ago

Actual title: “Vectorized and performance-portable Quicksort” (2022).

Actual sense in which it’s first:

> Happily, modern instruction sets (Arm SVE, RISC-V V, x86 AVX-512) include a special instruction suitable for partitioning. Given a separate input of yes/no values (whether an element is less than the pivot), this "compress-store" instruction stores to consecutive memory only the elements whose corresponding input is "yes". We can then logically negate the yes/no values and apply the instruction again to write the elements to the other partition. This strategy has been used in an AVX-512-specific Quicksort. But what about other instruction sets such as AVX2 that don't have compress-store? Previous work has shown how to emulate this instruction using permute instructions.

> We build on these techniques to achieve the first vectorized Quicksort that is portable to six instruction sets across three architectures, and in fact outperforms prior architecture-specific sorts.

djsavvy

6 hours ago

Definitely needs (2022) in the title, I was a bit confused!

mixologic

6 hours ago

> Our implementation uses Highway's portable SIMD functions, so we do not have to re-implement about 3,000 lines of C++ for each platform.

Would they do the same thing today or have an LLM re-implement those 3000 lines of c++ ?

atiedebee

6 hours ago

Id say that it is a lot more likely for the in-house, at least half a decade old library to be correct and performant than 3000 lines of an LLMs mediocre regurgitation of that code.

glouwbug

6 hours ago

Guys, remember when language features allowed re-usability?

shadowgovt

5 hours ago

Barely, and rarely for C++ specifically.

I think software engineering in general is in a bit of a discoverability crisis. So many problems actually have solutions implemented... Somewhere. If you know about them. And are speaking the same vocabulary as the original implementer to realize the solution might be applicable to your problem. It's one of the reasons that jokes exist about microservice frameworks (https://www.youtube.com/watch?v=y8OnoxKotPQ) and how "We use Hadoop to store the output from our Kafka pipe, that's populated from our Traefik layer, all monitored with Grafana in front of Loki and Prometheus, of course" is a real sentence that has actual meaning and not a fever-dream.

LLMs are actually pretty impressive at being able to pull together disparate information from various domains into one place.

starcast2026

5 hours ago

I didn't like the 9 MB image file in the blog. It took me few seconds to fully render the image.

kg

7 hours ago

(2022)

If you're curious why you would want a vectorized way to sort lists of numbers, one use case is building histograms - it's much easier to build a histogram if you've sorted all your samples first

mcdonje

6 hours ago

>(2002)

I wonder what apps have implemented this now that a few years have passed.

sciencesama

6 hours ago

this was made like 4 years back most of the current algorithms use this already !

brrrrrm

6 hours ago

only sorts numbers? wouldn't radix be much better?

Razengan

4 hours ago

Something I've wondered about sorting algorithms: Humans can visually spot the smallest and largest item from among 1000s of items, almost instantly (usually, depending on the variance)

Could AI be used this way? Just splat a visual representation of each item on a virtual wall and have an AI "visually" pick them out?

jryan49

an hour ago

I can't imagine inference on an image could be faster that just a sort.

glouwbug

7 hours ago

Very nice. Let's see Paul Allen's quicksort

rvz

6 hours ago

Just imagine when candidates will get asked by pre-revenue startups to implement a vectorized version of quick-sort in person in 10 mins, just for a SWE job which they do not use this themselves.

Only the likes of MAG 7, and a couple of hedge-funds would ask to do it since this problem directly applies to them.

But certainly not pre-revenue startups.