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Date:      Thu, 20 Apr 2023 08:32:54 +0200
From:      Hans Petter Selasky <hselasky@freebsd.org>
To:        Colin Percival <cperciva@tarsnap.com>, Jessica Clarke <jrtc27@freebsd.org>
Cc:        Brooks Davis <brooks@freebsd.org>, src-committers <src-committers@freebsd.org>, dev-commits-src-all@freebsd.org, dev-commits-src-main@freebsd.org
Subject:   Re: git: 8dcf3a82c54c - main - libc: Implement bsort(3) a bitonic type of sorting algorithm.
Message-ID:  <1ce00b7b-e34b-a91b-59ef-c3ee9683c4a0@freebsd.org>
In-Reply-To: <010001879ba20fa7-95ae06cc-e046-4f59-a9b7-5e2cd389d101-000000@email.amazonses.com>
References:  <202304191206.33JC6Qcp062380@gitrepo.freebsd.org> <ZEAM3rO9r5e97BHE@spindle.one-eyed-alien.net> <a073fd36-9aa9-e988-0cc5-86af305fb654@freebsd.org> <3B5734C4-8630-4CD5-BA8D-DE33899161F1@freebsd.org> <e2ea5c89-aa48-e257-b9d5-7fe783bf216e@freebsd.org> <2840BE79-CC25-427A-A5E9-476A38E749E3@freebsd.org> <42d63675-9b1f-70dc-a1da-fef3d43790fd@freebsd.org> <010001879ba20fa7-95ae06cc-e046-4f59-a9b7-5e2cd389d101-000000@email.amazonses.com>

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On 4/20/23 00:28, Colin Percival wrote:
> 
> Quicksort with cryptographically randomized pivot selection is O(N^2) worst
> case but O(N log N) average-case-for-worst-case-inputs which is good enough
> for most purposes.
> 
> Quicksort with in-place median-of-medians pivot selection is O(N log N) 
> worst
> case.
> 
> Both of them can be easily implemented with O(log N) extra space (for 
> the call
> stack), and with O(1) extra space if you're insane enough to care.

Yes, I know there are different ways to mitigate O(N^2) behaviour, but 
there is not yet after xxx years of research a way to fully mitigate 
that behaviour.

What I think, there should be some statistics done in our qsort() when 
it goes to O(N^2), and then it could fallback to bsort() for example, to 
avoid issues with malloc().

Or maybe one round of bsort() is enough to make qsort() do its thing 
right. I want to investigate that. Like a hybrid.

--HPS



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