[MITgcm-devel] [MITgcm-support] SOLVE_DIAGONAL_LOWMEMORY

Jean-Michel Campin jmc at mit.edu
Fri Jan 8 10:18:09 EST 2021


Hi Martin,

I see that SOLVE_DIAGONAL_LOWMEMORY is defined in shelfice_2d_remesh and looks like to me it's used
there: in shelfice_2d_remesh/input/data:
 implicitDiffusion = .TRUE.,
 implicitViscosity = .TRUE.,
 selectImplicitDrag = 2,
I am surprised that it's not defined in global_ocean.cs32x15/code/CPP_OPTIONS.h since I found,
in global_ocean.cs32x15/input.thsice/data, the 3 parameters listed above are set the same way,
and in this case it would be more efficient (skipping half of the 2nd solve) but I guess it's
also a way to test selectImplicitDrag=2 without SOLVE_DIAGONAL_LOWMEMORY.

And currently, I am not expecting SOLVE_DIAGONAL_LOWMEMORY to work for the adjoint,
so it's not clear why I would try to turn it on for global_ocean.cs32x15/input_ad

Cheers,
Jean-Michel

On Fri, Jan 08, 2021 at 03:01:29PM +0100, Martin Losch wrote:
> Hi Jean-Michel,
> 
> we do not seem to be testing the SOLVE_DIAGONAL_LOWMEMORY code anywhere (it???s just compiled in shelfice2d_remesh) and I cannot use it in some of the experiments that will actually use solve_tridiagonal/pentadiagonal, because either it is not allowed (advect_xz.nlfs) or the model explodes (global_ocean.cs32x15/input_ad).
> 
> How do you test it?
> 
> Martin
> 
> > On 8. Jan 2021, at 13:06, Martin Losch <Martin.Losch at awi.de> wrote:
> > 
> > Hi Dimitris,
> > 
> > Jean-Michel is right, I added the third option, which is now the default. Looking at the code today tells me, that I have learned a few things since then. I guess the performance difference between default and SOLVE_DIAGONAL_LOWMEMORY is probably due excessive if-statements in the innermost loops.
> > 
> > I have tried to pushed these out of the i/j loops and this even reduces the number of recomputation warnings from 5 to 1 for this routine. Maybe you would like to give this a try in terms of performance? It here:
> > https://github.com/mjlosch/MITgcm/tree/diagonal_lowmemory
> > 
> > For just forward simulations, the LOWMEMORY option is probably even faster as Jean-Michel says. Maybe I can also implement Jean-Michel???s trick to save even more computations.
> > 
> > Martin
> > 
> >> On 8. Jan 2021, at 04:20, Jean-Michel Campin <jmc at mit.edu> wrote:
> >> 
> >> Hi Dimitris,
> >> 
> >> In term of efficiency, I would rank #define SOLVE_DIAGONAL_KINNER as the slowest,
> >> and then comes the default (just because accessing more 3-D arrays might take more time)
> >> and finally the #define SOLVE_DIAGONAL_LOWMEMORY ; but I would have guessed that the differences
> >> would have been small between the last 2 options. 
> >> Now that Dan is reporting significant differences, I am still not sure if the magnitude of
> >> the improvement is not platform/problem dependent.
> >> 
> >> And just for history (please correct me if I am wrong):
> >> The original version was the SOLVE_DIAGONAL_LOWMEMORY . It's not great for the adjoint
> >> (there are some obvious reasons, but I thought it could have been fixed without major changes
> >> in the inner part of the routine) so Gael wrote a new version, SOLVE_DIAGONAL_KINNER,
> >> that is better for the adjoint, but slower and terrible in term of efficiency on vector machine.
> >> After that the current default version was introduce (may be Martin did it ?) so that 
> >> we would have an adjointable version that is efficient on vector processor.
> >> And after that, I messed-up even more the SOLVE_DIAGONAL_LOWMEMORY version to skip
> >> a good half of the inversion computation if/when it's called for the second time
> >> with the same matrix but different RHS.
> >> 
> >> Cheers,
> >> Jean-Michel
> >> 
> >> On Thu, Jan 07, 2021 at 11:45:27AM -0800, Dimitris Menemenlis wrote:
> >>> Bonjour Jean-Michel, would you be aware of any possible issues with switching the hi-res LLC simulations to SOLVE_DIAGONAL_LOWMEMORY ?
> >>> Right now we use the default settings of:
> >>> 
> >>> C o Choices for implicit solver routines solve_*diagonal.F
> >>> C   The following has low memory footprint, but not suitable for AD
> >>> #undef SOLVE_DIAGONAL_LOWMEMORY
> >>> C   The following one suitable for AD but does not vectorize
> >>> #undef SOLVE_DIAGONAL_KINNER
> >>> 
> >>> But Dan notes that the low-memory variant is approximately twice as fast than the default settings for the llc_540 set-up.
> >>> I could not find any previous discussion of SOLVE_DIAGONAL_LOWMEMORY in mitgcm-support.
> >>> 
> >>> Merci, Dimitris
> >>> 
> >>> 
> >>>> Begin forwarded message:
> >>>> 
> >>>> From: "Kokron, Daniel S. (ARC-606.2)[InuTeq, LLC]" <daniel.s.kokron at nasa.gov>
> >>>> Subject: Re: Performance analysis feedback
> >>>> Date: January 7, 2021 at 10:49:23 AM PST
> >>>> To: Dimitris Menemenlis <menemenlis at jpl.nasa.gov>
> >>>> Cc: "Zhang, Hong (JPL-398K)[JPL Employee]" <hong.zhang at jpl.nasa.gov>
> >>>> 
> >>>> Kinner                   147.07/186.45
> >>>> Fall though          60.37/125.83
> >>>> Low mem            26.1/67.9
> >>>> 
> >>>> See attached.  Upper left is Kinner, upper right is fall through and lower middle is low mem.  solve_tridiagonal() is highlighted in yellow.
> >>>> Dan
> >>>> 
> >>>> From: "Kokron, Daniel S. (ARC-606.2)[InuTeq, LLC]" <daniel.s.kokron at nasa.gov>
> >>>> Date: Thursday, January 7, 2021 at 10:05 AM
> >>>> To: Dimitris Menemenlis <menemenlis at jpl.nasa.gov>
> >>>> Cc: "Zhang, Hong (JPL-398K)[JPL Employee]" <hong.zhang at jpl.nasa.gov>
> >>>> Subject: Re: Performance analysis feedback
> >>>> 
> >>>> Comparing profiles with and without Kinner, Kinner is definitely slower than the fall-through path.  I did not try using the lowmem path.
> >>>> 
> >>>> There is a lot of load imbalance among the ranks so I???ve included min and max times (s) spent in the solve_tridiagonal() routine using the llc_540 case run on 767 ranks.
> >>>> 
> >>>> Kinner                   147.07/186.45
> >>>> Fall though          60.37/125.83
> >>>> 
> >>>> Fall though is activated with
> >>>> #undef SOLVE_DIAGONAL_LOWMEMORY
> >>>> #undef SOLVE_DIAGONAL_KINNER
> >>>> 
> >>>> 
> >>>> From: Dimitris Menemenlis <menemenlis at jpl.nasa.gov>
> >>>> Date: Wednesday, January 6, 2021 at 7:57 PM
> >>>> To: "Kokron, Daniel S. (ARC-606.2)[InuTeq, LLC]" <daniel.s.kokron at nasa.gov>
> >>>> Cc: "Zhang, Hong (JPL-398K)[JPL Employee]" <hong.zhang at jpl.nasa.gov>
> >>>> Subject: Re: Performance analysis feedback
> >>>> 
> >>>> actually, it looks like we are ???not??? using the low-memory option in any of our set-ups:
> >>>> 
> >>>> bash-3.2$ grep SOLVE_DIAGONAL_LOW */*/code*/*h */code*/*h 
> >>>> llc_540/tides_exp/code/CPP_OPTIONS.h:#undef SOLVE_DIAGONAL_LOWMEMORY
> >>>> llc_90/tides_exps/code/CPP_OPTIONS.h:#undef SOLVE_DIAGONAL_LOWMEMORY
> >>>> llc_1080/code/CPP_OPTIONS.h:#undef SOLVE_DIAGONAL_LOWMEMORY
> >>>> llc_2160/code/CPP_OPTIONS.h:#undef SOLVE_DIAGONAL_LOWMEMORY
> >>>> llc_270/code/CPP_OPTIONS.h:#undef SOLVE_DIAGONAL_LOWMEMORY
> >>>> llc_270/code_ad/CPP_OPTIONS.h:#undef SOLVE_DIAGONAL_LOWMEMORY
> >>>> llc_4320/code/CPP_OPTIONS.h:#undef SOLVE_DIAGONAL_LOWMEMORY
> >>>> llc_540/code/CPP_OPTIONS.h:#undef SOLVE_DIAGONAL_LOWMEMORY
> >>>> llc_90/code-async-noseaice/CPP_OPTIONS.h:#undef SOLVE_DIAGONAL_LOWMEMORY
> >>>> llc_90/code/CPP_OPTIONS.h:#undef SOLVE_DIAGONAL_LOWMEMORY
> >>>> 
> >>>> which happens to be the default for unmodified MITgcm CPP_OPTIONS.h
> >>>> 
> >>>> bash-3.2$ grep SOLVE_DIAGONAL CPP_OPTIONS.h 
> >>>> #undef SOLVE_DIAGONAL_LOWMEMORY
> >>>> #undef SOLVE_DIAGONAL_KINNER
> >>>> 
> >>>> what do you recommend?
> >>>> 
> >>>> Dimitris
> >>>> 
> >>>> 
> >>>> 
> >>>> 
> >>>> 
> >>>>> On Jan 6, 2021, at 3:03 PM, Kokron, Daniel S. (ARC-606.2)[InuTeq, LLC] <daniel.s.kokron at nasa.gov> wrote:
> >>>>> 
> >>>>> Hong,
> >>>>> The Kinner tri-diagonal solver code path is showing up in my profiling of the llc_540 case.  None of the other user cases I have is using this path.  Does your investigation require using the Kinner path?
> >>>>> Dan
> >>>>> 
> >>>> 
> >>>> 
> >>> 
> >> 
> >>> _______________________________________________
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> >>> MITgcm-support at mitgcm.org
> >>> http://mailman.mitgcm.org/mailman/listinfo/mitgcm-support
> >> 
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> > 
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> 



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