Re: Matrix multiplication performance

Nasos Iliopoulos <[email protected]>
Newsgroups gmane.comp.lib.boost.ublas
Message-ID <[email protected]>
Palik,
what was the full compile line you used? g++ -Ofast -mavx ...?

-Nasos


On 01/22/2016 05:03 AM, palik imre wrote:
> Sorry for posting twice more or less the same thing.  I got confused 
> with javascript interfaces.
>
> It seems I also forgot to enable avx for my last measurements.  With 
> that + my blocking and alignment changes, performance according to my 
> tests is something like 250% higher than running Michael's original 
> code (with avx).
>
> Cheers,
>
> Imre
>
>
> On Friday, 22 January 2016, 10:33, palik imre <[email protected]> 
> wrote:
>
>
> Hi Michael,
>
> your blocksizes are far from optimal.  MR & NR should be multiples of 
> the L1 cache line size (i.e. 16 for double on Intel).  Also, the 
> blocks should be allocated aligned to L1 cache lines (e.g., via 
> posix_memalign()).
>
> This alone brought something like 50% speedup for my square matrix test.
>
> I will have a look at the other parameters + the whole thing via perf 
> during the weekend.
>
> Cheers,
>
> Imre
>
>
>
> On Friday, 22 January 2016, 0:28, "[email protected]" 
> <[email protected]> wrote:
>
>
> Subject: Re: [ublas] Matrix multiplication performance
> Message-ID: <[email protected] 
> <mailto:[email protected]>>
> Content-Type: text/plain; charset="windows-1252"
>
> Hi Nasos,
>
> first of all I don?t want to take wrong credits and want to point out 
> that this is not my algorithm.  It is based on
>
> http://www.cs.utexas.edu/users/flame/pubs/blis2_toms_rev3.pdf
>
> https://github.com/flame/blis
>
> For a few cores (4-8) it can easily made multithreaded.  For 
> many-cores like Intel Xeon Phi this is a bit more
> sophisticated but still not too hard.  The demo I posted does not use 
> micro kernels that exploit SSE, AVX or
> FMA instructions.  With that the matrix product is on par with Intel 
> MKL.  Just like BLIS. For my platforms I wrote
> my own micro-kernels but the interface of function ugemm is compatible 
> to BLIS.
>
> Maybe you could help me to integrate your code in the benchmark 
> example I posted above.
>
> About Blaze:  Do they have their own implementation of a matrix-matrix 
> product?  It seems to require a
> tuned BLAS implementation (?Otherwise you get only poor performance?) 
> for the matrix-matrix product.
> IMHO they only have tuned the ?easy? stuff like BLAS Level1 and 
> Level2.  In that case it makes more
> sense to compare the performance with the actual underlying GEMM 
> implementation. But if I am wrong,
> let me know.
>
> About the block size: In my experience you get better performance if 
> you chose them dynamically at runtime
> depending on the problem size.  Depending on the architecture you can 
> just specify ranges like 256 - 384 for
> blocking factor MC.  In my code it then also needs to satisfy the 
> restriction that it can be divided by factor MR.
> I know that doing things at compile time is a C++ fetish.  But the 
> runtime overhead is negligible and having
> blocks of similar sizes easily pays of.
>
> Cheers,
>
> Michael
> *************************************
>
>
>
>
>
>
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