Actually  roaring performs pretty well, I just used an awful test case. 
Roaring bitmaps has container size 64k, so it performs awful for anything 
far below that. My test case had size 768.

Roaring is interesting however as a bitset implementation for anything 
beyond 64k and seems to perform much better than my private implementation.

I still think the approach with the fuzed types is good. This allows us to 
have a common approach and the application could switch types without 
changing the code.

So I would propose having different bitset implementations that all look 
the same regarding the interface. Something like:

- bitset_t: As before but maybe still using intrinsics (interesting for 
bitsets with up to ~50k bits).
- bitset_sparse_t: Behaving better for sparse bitsets than bitset_t
- bitset_roaring_t: A type exposing the roaring stuff (interesting for 
bitsets from ~50k bits).

I don't know yet, if having bitset_sparse_t is really worth it. But there 
are lots of non-trivial calculations with bitsets of size far less than 50k

One could think of using a different standard library for other cases, but 
I didn't find anything optimized with CPU-specific instructions for this.

Am I the only one using larger bitsets?

Jonathan
jonatha...@googlemail.com schrieb am Freitag, 18. September 2020 um 
11:30:34 UTC+2:

> To sum up this "discussion": There are no general objections to the 
> suggested changes. I should however move away from `pxi` files.
>
> In particular it is fine to overalign bitsets at some point, which will 
> make realloc less efficient (?)!
>
> At some point it would be nice to use some external library for the 
> bitsets. It is not clear yet, which to use for this and if there exists one 
> that fits our needs (not to mention that our needs might differ.)
> But at least I shouldn't burn bridges towards this. Note that some files 
> heavily rely on implementation details by calling attributes directly. IMO 
> one should be able to replace attributes in `bitset_s` by others without 
> breaking any top-level usage.
> If we don't find an external library that fits our needs, we could make 
> one out of bitset.pxi.
>
> IMO the current state of bitsets is fine. With little effort, we can use 
> better CPU-instructions. The largest part of the effort is to merge my own 
> code duplication.
> jonatha...@googlemail.com schrieb am Donnerstag, 17. September 2020 um 
> 22:45:12 UTC+2:
>
>> Ok. I don't think CRoaring serves well for my purpose. I'm getting 
>> multiples of my benchmarks (something like a factor of 10).
>>
>> Things are ok for small instances, but it seems that the bookkeeping 
>> explodes. I thought about it this afternoon and I don't think anything 
>> optimized for memory would work for me. I'm constantly creating and 
>> throwing away bitsets, so it's not worth optimizing for that. If you want 
>> some extra bookkeeping, it must pay of it speed, not in memory.
>>
>> I guess for data science people those bitsets have a different meaning 
>> than for me.
>>
>> jonatha...@googlemail.com schrieb am Donnerstag, 17. September 2020 um 
>> 13:50:00 UTC+2:
>>
>>> CRoaring definitely uses advanced CPU-instructions. It might not be used 
>>> everywhere possible (e.g. I don't see a distinction between AVX and AVX2, 
>>> which means that in one of those cases  something is missing). I got a 
>>> prompt reply regarding my pull request (that the pull request needs work). 
>>> So PyRoaringBitmap is maintained, I guess.  I guess it would be useful, if 
>>> there was only one python wrapper for croaring. I don't know how suitable 
>>> it would be as a base class for our bitset class. First I would like to 
>>> see, if CRoaring is suitable at all. The problem with compiling pyroaring 
>>> for me is that it hides the cython stuff away.
>>>
>>> At the moment I'm replacing bitsets by croaring to see how it behaves. 
>>>
>>> What is extremely annoying is that many parts touch the bitset data 
>>> structure. They need some special method and instead of implemnting it in 
>>> bitset.pxi, they rely on implementation details.
>>> vdelecroix schrieb am Donnerstag, 17. September 2020 um 12:48:52 UTC+2:
>>>
>>>> About 2: the C library CRoaring seems a good match but does not 
>>>> seem to contain any assembler or advanced CPU instructions. Does it? 
>>>> It is hard to figure out how well is implemented and maintained the 
>>>> Python interface PyRoaringBitMap. 
>>>>
>>>> Le 16/09/2020 à 17:18, 'jonatha...@googlemail.com' via sage-devel a 
>>>> écrit : 
>>>> > Dear Vincent, thanks for your reply. 
>>>> > 
>>>> > To sum up my reply: Should I try to replace bitsets completely by 
>>>> > RaoringBitmap and see how it performs? (I need some help with the 
>>>> > benchmarking, as I don't know good benchmarks for other use cases.) 
>>>> > 
>>>> > 
>>>> > to 1. Okay. I wasn't aware of that. I just copied the behaviour of 
>>>> > bitset.pxi/pyx/pxd. I didn't know that this kind of usage is 
>>>> deprecated. 
>>>> > 
>>>> > to 2. I was looking at roaring bitmaps for a while now 
>>>> > https://github.com/Ezibenroc/PyRoaringBitMap 
>>>> > They claim it's a simple pip install. So it might be suitable as a 
>>>> standard 
>>>> > package in sage. 
>>>> > 
>>>> > It only supports values up to 2**32. But seriously, our current 
>>>> > implementation requests 512 MB continous memory in this case. So this 
>>>> > performs awful anyway. 
>>>> > 
>>>> > I was reluctant to use it, because I thought, you cannot avoid 
>>>> allocating 
>>>> > memory over and over. 
>>>> > Only after you and Travis insisted to give up our private 
>>>> implemtation, I 
>>>> > looked up, if they have all the features I want. 
>>>> > In fact the only thing I need is this pull request 
>>>> > https://github.com/Ezibenroc/PyRoaringBitMap/pull/59 for exposing a 
>>>> > definition. 
>>>> > (And we can always include this definition ourselves from the 
>>>> header.) 
>>>> > 
>>>> > With this to perform `dest = A & B`, I need to copy `A` first and to 
>>>> do the 
>>>> > operation inplace then. This is a bit slower than optimal, but avoids 
>>>> > allocation, if possible. 
>>>> > So after a couple of initial reallocs there shouldn't be any more 
>>>> memory 
>>>> > allocations. 
>>>> > The optimized subset check is much more important to me, which 
>>>> appears to 
>>>> > be at least as good as my implementation. 
>>>> > 
>>>> > Depending on what you and other people think of, I can try to make 
>>>> use of 
>>>> > RoaringBitMap or any other library that likely performs well. 
>>>> > https://trac.sagemath.org/ticket/30549 is still a good step towards 
>>>> this, 
>>>> > as it makes it a lot easier to just replace `bitset_t` by something 
>>>> else. 
>>>> > 
>>>> > I could try to create a branch that completely rips out bitset.pxi 
>>>> and 
>>>> > replaces it by a different implementation (with same names as to not 
>>>> change 
>>>> > anything else). Then many people could try to come up with benchmarks 
>>>> in 
>>>> > different parts of sage. 
>>>> > 
>>>> > E.g. this might make dense graphs much better in comparison. 
>>>> > 
>>>> > to 3. I didn't try many things yet. For my use case the only thing I 
>>>> need 
>>>> > (at the moment) is fast intersection and fast subset check. Dense 
>>>> bitsets 
>>>> > perform pretty good with that as it is hard to beat 256 bits per 
>>>> CPU-step 
>>>> > (whatever this means). I could perform a bit better however, 
>>>> > by keeping an array of the significant chunks. I wanted to try 
>>>> different 
>>>> > things. This is the main reason for 
>>>> https://trac.sagemath.org/ticket/30549, 
>>>> > because my design choice is awful, if you want to change one 
>>>> implemtation 
>>>> > detail. With this ticket I can pretty much tell the face-structure 
>>>> that it 
>>>> > consists of a roaring bitmap of atoms and coatoms and adapt a few 
>>>> basic 
>>>> > functions to the name scheme of that (I also need to take care of 
>>>> freeing 
>>>> > the memory, but hey, that's just writing a couple of __dealloc__ 
>>>> methods). 
>>>> > 
>>>> > 
>>>> > 
>>>> > vdelecroix schrieb am Mittwoch, 16. September 2020 um 14:32:28 UTC+2: 
>>>> > 
>>>> >> Dear Jonathan, 
>>>> >> 
>>>> >> 0. It would be good to benefit from extended CPU instructions 
>>>> >> for having faster bitsets. 
>>>> >> 
>>>> >> 1. As mentioned in the Cython documentation [1], pxi files are 
>>>> >> not the advised way to deal with Cython code. inline functions 
>>>> >> are perfectly usable when written in pxd headers. See for 
>>>> >> example the header file sage/libs/linbox/conversion.pxd which 
>>>> >> has no pyx implementation since everything is inlined. 
>>>> >> 
>>>> >> 2. Many people care about efficient bitsets and I doubt that 
>>>> >> there is no finely tuned library around. I would rather try 
>>>> >> to find an actively maintained open source project focused 
>>>> >> on bitsets rather making it part of Sage internals. 
>>>> >> 
>>>> >> 3. Depending on the application you have in mind you might 
>>>> >> want to distinguish between sparse and dense bitsets. Sparse 
>>>> >> could be implemented as sets via has tables or binary trees, 
>>>> >> etc 
>>>> >> 
>>>> >> [1] 
>>>> >> 
>>>> >> 
>>>> https://cython.readthedocs.io/en/latest/src/userguide/language_basics.html?highlight=pxi#cython-file-types
>>>>  
>>>> >> 
>>>> >> Le 16/09/2020 à 11:59, 'jonatha...@googlemail.com' via sage-devel a 
>>>> >> écrit : 
>>>> >>> Dear all, I want to redesign the bitset structure of combinatorial 
>>>> >>> polyhedron and move it to `data_structures/bitset.pxi`. This 
>>>> includes 
>>>> >> some 
>>>> >>> changes to bitset.pxi. Please comment, whether the proposed design 
>>>> >> changes 
>>>> >>> on the ticket are ok. Mostly they are the following: 
>>>> >>> 
>>>> >>> 1. Define most of the functions in bitset.pxi for fuzed types. 
>>>> >>> 
>>>> >>> 2. Move functions that can be optimized by intrinsics to a seperate 
>>>> file. 
>>>> >>> 
>>>> >>> 3. (Not yet done, but also important.) Optimize some functions in 
>>>> >>> bitset.pxi by intrinsics. This includes an overalignment condition. 
>>>> One 
>>>> >>> disadvantage of overalignment is that it makes realloc much more 
>>>> >>> complicated. Small bitsets also need more memory. 
>>>> >>> 
>>>> >>> 4. Indirect typecast of functions in `bitset.pxi` will no longer be 
>>>> >>> possible. E.g. you cannot call `bitset_add` with signature 
>>>> `(bitset_t, 
>>>> >>> PyObject)`, but `(bitset_t, int)` or `(bitset_t, size_t)` or 
>>>> similar are 
>>>> >>> ok. See https://trac.sagemath.org/ticket/30572. 
>>>> >>> 
>>>> >>> Eventually, this should go into smaller tickets. But until then it 
>>>> would 
>>>> >> be 
>>>> >>> good to know, if the general direction is acceptable or which part 
>>>> is 
>>>> >> not. 
>>>> >>> 
>>>> >>> See https://trac.sagemath.org/ticket/30549 for more detail. 
>>>> >>> 
>>>> >> 
>>>> > 
>>>>
>>>

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