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theotherphil avatar theotherphil commented on June 16, 2024 1

The fast divide trick is already covered by an existing (nightly-only) crate. Might be worth reusing that when u128 is stabilised. https://github.com/fulmicoton/fastdivide

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AtheMathmo avatar AtheMathmo commented on June 16, 2024

These slides provide an overview of a good (and relatively simple) implementation: http://www.netlib.org/utk/people/JackDongarra/CCDSC-2014/talk35.pdf

There is a paper linked in the article which may be a valuable read.

Edit: I think I'll try implementing this paper. It looks relatively simple to get working!

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theotherphil avatar theotherphil commented on June 16, 2024

I've got an initial (messy, slow) implementation of the algorithm in the linked paper here: theotherphil@4f23559

I'll tidy and speed it up before creating a pull request.

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theotherphil avatar theotherphil commented on June 16, 2024

Hmmm. I've just found this: https://athemathmo.github.io/2016/08/29/inplace-transpose.html

Looks like you've already done this! But it doesn't appear to have been merged.

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AtheMathmo avatar AtheMathmo commented on June 16, 2024

Hey @theotherphil ! Sorry that I'm slow to reply.

Yes I had already tried implementing this and you're right that it is slower than out-of-place transpose, which is expected. I had not merged it yet due to the need for in-place asm and/or some 128 bit integer work. Once these are easier to support on all systems I'd be happy to bring the old branch up to master and merge.

Sorry that I didn't comment sooner to let you know.

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theotherphil avatar theotherphil commented on June 16, 2024

I was googling for 128 bit integer support in Rust when I found your article! It looks like 128 bit integers should be getting stabilised soon. Fingers crossed.

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