[petsc-users] MG on GPU: Benchmarking and avoiding vector host->device copy

Paul Grosse-Bley paul.grosse-bley at ziti.uni-heidelberg.de
Wed Feb 22 16:44:42 CST 2023


I thought to have observed the number of cycles with -pc_mg_multiplicative_cycles to be dependent on rtol. But I might have seen this with maxits=0 which would explain my missunderstanding of richardson.

I guess PCAMGX does not use this PCApplyRichardson_MG (yet?). Because I still see the multiple PCApplys there with maxits=1 and richardson, while they are gone for PCMG (due to getting rid of  KSPSetComputeInitialGuess?).

Best,
Paul Grosse-Bley


On Wednesday, February 22, 2023 23:20 CET, Barry Smith <bsmith at petsc.dev> wrote:
      Preonly means exactly one application of the PC so it will never converge by itself unless the PC is a full solver.    Note there is a PCApplyRichardson_MG() that gets used automatically with KSPRICHARSON. This does not have an"extra" application of the preconditioner so 2 iterations of Richardson with MG will use 2 applications of the V-cycle. So it is exactly "multigrid as a solver, without a Krylov method", no extra work. So I don't think you need to make any "compromises".    Barry   On Feb 22, 2023, at 4:57 PM, Paul Grosse-Bley <paul.grosse-bley at ziti.uni-heidelberg.de> wrote: Hi again,

I now found out that

1. preonly ignores -ksp_pc_side right (makes sense, I guess).
2. richardson is incompatible with -ksp_pc_side right.
3. preonly gives less output for -log_view -pc_mg_log than richardson.
4. preonly also ignores -ksp_rtol etc..
5. preonly causes -log_view to measure incorrect timings for custom stages, i.e. the time for the stage (219us) is significantly shorter than the time for the KSPSolve inside the stage (~40ms).

Number 4 will be problematic as I want to benchmark number of V-cycles and runtime for a given rtol. At the same time I want to avoid richardson now because of number 2 and the additional work of scaling the RHS.

Is there any good way of just using MG V-cycles as a solver, i.e. without interference from an outer Krylov solver and still iterate until convergence?
Or will I just have to accept the additional V-cycle due to the left application of th PC with richardson?

I guess I could also manually change -pc_mg_multiplicative_cycles until the residual gets low enough (using preonly), but that seems very inefficient.

Best,
Paul Große-Bley



On Wednesday, February 22, 2023 21:26 CET, "Paul Grosse-Bley" <paul.grosse-bley at ziti.uni-heidelberg.de> wrote:
 I was using the Richardson KSP type which I guess has the same behavior as GMRES here? I got rid of KSPSetComputeInitialGuess completely and will use preonly from now on, where maxits=1 does what I want it to do.

Even BoomerAMG now shows the "v-cycle signature" I was looking for, so I think for now all my problems are resolved for now. Thank you very much, Barry and Mark!

Best,
Paul Große-Bley



On Wednesday, February 22, 2023 21:03 CET, Barry Smith <bsmith at petsc.dev> wrote:
   On Feb 22, 2023, at 2:56 PM, Paul Grosse-Bley <paul.grosse-bley at ziti.uni-heidelberg.de> wrote: Hi Barry,

I think most of my "weird" observations came from the fact that I looked at iterations of KSPSolve where the residual was already converged. PCMG and PCGAMG do one V-cycle before even taking a look at the residual and then independent of pc_mg_multiplicative_cycles stop if it is converged.

Looking at iterations that are not converged with PCMG, pc_mg_multiplicative_cycles works fine.

At these iterations I also see the multiple calls to PCApply in a single KSPSolve iteration which were throwing me off with PCAMGX before.

The reason for these multiple applications of the preconditioner (tested for both PCMG and PCAMGX) is that I had set maxits to 1 instead of 0. This could be better documented, I think.    I do not understand what you are talking about with regard to maxits of 1 instead of 0. For KSP maxits of 1 means one iteration, 0 is kind of meaningless.    The reason that there is a PCApply at the start of the solve is because by default the KSPType is KSPGMRES which by default uses left preconditioner which means the right hand side needs to be scaled by the preconditioner before the KSP process starts. So in this configuration one KSP iteration results in 2 PCApply.  You can use -ksp_pc_side right to use right preconditioning and then the number of PCApply will match the number of KSP iterations.
Best,
Paul Große-Bley



On Wednesday, February 22, 2023 20:15 CET, Barry Smith <bsmith at petsc.dev> wrote:
   On Feb 22, 2023, at 1:10 PM, Paul Grosse-Bley <paul.grosse-bley at ziti.uni-heidelberg.de> wrote: Hi Mark,

I use Nvidia Nsight Systems with --trace cuda,nvtx,osrt,cublas-verbose,cusparse-verbose together with the NVTX markers that come with -log_view. I.e. I get a nice view of all cuBLAS and cuSPARSE calls (in addition to the actual kernels which are not always easy to attribute). For PCMG and PCGAMG I also use -pc_mg_log for even more detailed NVTX markers.

The "signature" of a V-cycle in PCMG, PCGAMG and PCAMGX is pretty clear because kernel runtimes on coarser levels are much shorter. At the coarsest level, there normally isn't even enough work for the GPU (Nvidia A100) to be fully occupied which is also visible in Nsight Systems.   Hmm, I run an example with -pc_mg_multiplicative_cycles 2 and most definitely it changes the run. I am not understanding why it would not work for you. If you use and don't use the option are the exact same counts listed for all the events in the -log_view ? 
I run only a single MPI rank with a single GPU, so profiling is straighforward.

Best,
Paul Große-Bley

On Wednesday, February 22, 2023 18:24 CET, Mark Adams <mfadams at lbl.gov> wrote:
   On Wed, Feb 22, 2023 at 11:15 AM Paul Grosse-Bley <paul.grosse-bley at ziti.uni-heidelberg.de> wrote:Hi Barry,

after using VecCUDAGetArray to initialize the RHS, that kernel still gets called as part of KSPSolve instead of KSPSetup, but its runtime is way less significant than the cudaMemcpy before, so I guess I will leave it like this. Other than that I kept the code like in my first message in this thread (as you wrote, benchmark_ksp.c is not well suited for PCMG).

The profiling results for PCMG and PCAMG look as I would expect them to look, i.e. one can nicely see the GPU load/kernel runtimes going down and up again for each V-cycle.

I was wondering about -pc_mg_multiplicative_cycles as it does not seem to make any difference. I would have expected to be able to increase the number of V-cycles per KSP iteration, but I keep seeing just a single V-cycle when changing the option (using PCMG). How are you seeing this? You might try -log_trace to see if you get two V cycles. 
When using BoomerAMG from PCHYPRE, calling KSPSetComputeInitialGuess between bench iterations to reset the solution vector does not seem to work as the residual keeps shrinking. Is this a bug? Any advice for working around this?
  Looking at the doc https://petsc.org/release/docs/manualpages/KSP/KSPSetComputeInitialGuess/ you use this with  KSPSetComputeRHS. In src/snes/tests/ex13.c I just zero out the solution vector.  The profile for BoomerAMG also doesn't really show the V-cycle behavior of the other implementations. Most of the runtime seems to go into calls to cusparseDcsrsv which might happen at the different levels, but the runtime of these kernels doesn't show the V-cycle pattern. According to the output with -pc_hypre_boomeramg_print_statistics it is doing the right thing though, so I guess it is alright (and if not, this is probably the wrong place to discuss it).
When using PCAMGX, I see two PCApply (each showing a nice V-cycle behavior) calls in KSPSolve (three for the very first KSPSolve) while expecting just one. Each KSPSolve should do a single preconditioned Richardson iteration. Why is the preconditioner applied multiple times here?
  Again, not sure what "see" is, but PCAMGX is pretty new and has not been used much.Note some KSP methods apply to the PC before the iteration. Mark  Thank you,
Paul Große-Bley


On Monday, February 06, 2023 20:05 CET, Barry Smith <bsmith at petsc.dev> wrote:
    It should not crash, take a look at the test cases at the bottom of the file. You are likely correct if the code, unfortunately, does use DMCreateMatrix() it will not work out of the box for geometric multigrid. So it might be the wrong example for you.   I don't know what you mean about clever. If you simply set the solution to zero at the beginning of the loop then it will just do the same solve multiple times. The setup should not do much of anything after the first solver.  Thought usually solves are big enough that one need not run solves multiple times to get a good understanding of their performance.       On Feb 6, 2023, at 12:44 PM, Paul Grosse-Bley <paul.grosse-bley at ziti.uni-heidelberg.de> wrote: Hi Barry,

src/ksp/ksp/tutorials/bench_kspsolve.c is certainly the better starting point, thank you! Sadly I get a segfault when executing that example with PCMG and more than one level, i.e. with the minimal args:

$ mpiexec -c 1 ./bench_kspsolve -split_ksp -pc_type mg -pc_mg_levels 2
===========================================
Test: KSP performance - Poisson
    Input matrix: 27-pt finite difference stencil
    -n 100
    DoFs = 1000000
    Number of nonzeros = 26463592

Step1  - creating Vecs and Mat...
Step2a - running PCSetUp()...
[0]PETSC ERROR: ------------------------------------------------------------------------
[0]PETSC ERROR: Caught signal number 11 SEGV: Segmentation Violation, probably memory access out of range
[0]PETSC ERROR: Try option -start_in_debugger or -on_error_attach_debugger
[0]PETSC ERROR: or see https://petsc.org/release/faq/#valgrind and https://petsc.org/release/faq/
[0]PETSC ERROR: or try https://docs.nvidia.com/cuda/cuda-memcheck/index.html on NVIDIA CUDA systems to find memory corruption errors
[0]PETSC ERROR: configure using --with-debugging=yes, recompile, link, and run
[0]PETSC ERROR: to get more information on the crash.
[0]PETSC ERROR: Run with -malloc_debug to check if memory corruption is causing the crash.
--------------------------------------------------------------------------
MPI_ABORT was invoked on rank 0 in communicator MPI_COMM_WORLD
with errorcode 59.

NOTE: invoking MPI_ABORT causes Open MPI to kill all MPI processes.
You may or may not see output from other processes, depending on
exactly when Open MPI kills them.
--------------------------------------------------------------------------

As the matrix is not created using DMDACreate3d I expected it to fail due to the missing geometric information, but I expected it to fail more gracefully than with a segfault.
I will try to combine bench_kspsolve.c with ex45.c to get easy MG preconditioning, especially since I am interested in the 7pt stencil for now.

Concerning my benchmarking loop from before: Is it generally discouraged to do this for KSPSolve due to PETSc cleverly/lazily skipping some of the work when doing the same solve multiple times or are the solves not iterated in bench_kspsolve.c (while the MatMuls are with -matmult) just to keep the runtime short?

Thanks,
Paul

On Monday, February 06, 2023 17:04 CET, Barry Smith <bsmith at petsc.dev> wrote:
     Paul,    I think src/ksp/ksp/tutorials/benchmark_ksp.c is the code intended to be used for simple benchmarking.     You can use VecCudaGetArray() to access the GPU memory of the vector and then call a CUDA kernel to compute the right hand side vector directly on the GPU.   Barry  On Feb 6, 2023, at 10:57 AM, Paul Grosse-Bley <paul.grosse-bley at ziti.uni-heidelberg.de> wrote: Hi,

I want to compare different implementations of multigrid solvers for Nvidia GPUs using the poisson problem (starting from ksp tutorial example ex45.c).
Therefore I am trying to get runtime results comparable to hpgmg-cuda (finite-volume), i.e. using multiple warmup and measurement solves and avoiding measuring setup time.
For now I am using -log_view with added stages:

PetscLogStageRegister("Solve Bench", &solve_bench_stage);
  for (int i = 0; i < BENCH_SOLVES; i++) {
    PetscCall(KSPSetComputeInitialGuess(ksp, ComputeInitialGuess, NULL)); // reset x
    PetscCall(KSPSetUp(ksp)); // try to avoid setup overhead during solve
    PetscCall(PetscDeviceContextSynchronize(dctx)); // make sure that everything is done

    PetscLogStagePush(solve_bench_stage);
    PetscCall(KSPSolve(ksp, NULL, NULL));
    PetscLogStagePop();
  }

This snippet is preceded by a similar loop for warmup.

When profiling this using Nsight Systems, I see that the very first solve is much slower which mostly correspods to H2D (host to device) copies and e.g. cuBLAS setup (maybe also paging overheads as mentioned in the docs, but probably insignificant in this case). The following solves have some overhead at the start from a H2D copy of a vector (the RHS I guess, as the copy is preceeded by a matrix-vector product) in the first MatResidual call (callchain: KSPSolve->MatResidual->VecAYPX->VecCUDACopyTo->cudaMemcpyAsync). My interpretation of the profiling results (i.e. cuBLAS calls) is that that vector is overwritten with the residual in Daxpy and therefore has to be copied again for the next iteration.

Is there an elegant way of avoiding that H2D copy? I have seen some examples on constructing matrices directly on the GPU, but nothing about vectors. Any further tips for benchmarking (vs profiling) PETSc solvers? At the moment I am using jacobi as smoother, but I would like to have a CUDA implementation of SOR instead. Is there a good way of achieving that, e.g. using PCHYPREs boomeramg with a single level and "SOR/Jacobi"-smoother  as smoother in PCMG? Or is the overhead from constantly switching between PETSc and hypre too big?

Thanks,
Paul
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