[Beowulf] Benchmarking?

Rajiv jrajiv at hclinsys.com
Mon Aug 2 23:27:41 EDT 2004


Dear Michael,
I am sending below the output. Also find the attachment HPL.dat.

OUTPUT-1:
    If my machines file has one entry client, the following is the output:

[hpl at master hpl]$ /opt/mpich/gnu/bin/mpirun -nolocal -np 2 -machinefile
machines /opt/hpl/gnu/bin/xhpl Warning: No xauth data; using fake
authentication data for X11 forwarding.
============================================================================
HPLinpack 1.0  --  High-Performance Linpack benchmark  --  September 27,
2000
Written by A. Petitet and R. Clint Whaley,  Innovative Computing Labs.,  UTK
============================================================================

An explanation of the input/output parameters follows:
T/V    : Wall time / encoded variant.
N      : The order of the coefficient matrix A.
NB     : The partitioning blocking factor.
P      : The number of process rows.
Q      : The number of process columns.
Time   : Time in seconds to solve the linear system.
Gflops : Rate of execution for solving the linear system.

The following parameter values will be used:

N      :    1000
NB     :      64
P      :       1
Q      :       2
PFACT  :    Left    Crout    Right
NBMIN  :       8
NDIV   :       2
RFACT  :   Right
BCAST  :  1ringM
DEPTH  :       1
SWAP   : Mix (threshold = 80)
L1     : transposed form
U      : transposed form
EQUIL  : yes
ALIGN  : 8 double precision words

----------------------------------------------------------------------------

- The matrix A is randomly generated for each test.
- The following scaled residual checks will be computed:
   1) ||Ax-b||_oo / ( eps * ||A||_1  * N        )
   2) ||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  )
   3) ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo )
- The relative machine precision (eps) is taken to be          1.110223e-16
- Computational tests pass if scaled residuals are less than           16.0

============================================================================
T/V                N    NB     P     Q               Time             Gflops
----------------------------------------------------------------------------
W11R2L8         1000    64     1     2               0.29          2.294e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        1.0108964 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0245358 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0059277 ...... PASSED
============================================================================
T/V                N    NB     P     Q               Time             Gflops
----------------------------------------------------------------------------
W11R2C8         1000    64     1     2               0.26          2.617e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        1.0164336 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0246702 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0059601 ...... PASSED
============================================================================
T/V                N    NB     P     Q               Time             Gflops
----------------------------------------------------------------------------
W11R2R8         1000    64     1     2               0.26          2.592e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.9860995 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0239340 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0057823 ...... PASSED
============================================================================

Finished      3 tests with the following results:
              3 tests completed and passed residual checks,
              0 tests completed and failed residual checks,
              0 tests skipped because of illegal input values.
----------------------------------------------------------------------------

End of Tests.
============================================================================

    OUTPUT-2:
    Output with two entries in the machine file, master and client

[hpl at master hpl]$ /opt/mpich/gnu/bin/mpirun -nolocal -np 4 -machinefile
machines /opt/hpl/gnu/bin/xhpl
Warning: No xauth data; using fake authentication data for X11 forwarding.
============================================================================
HPLinpack 1.0  --  High-Performance Linpack benchmark  --  September 27,
2000
Written by A. Petitet and R. Clint Whaley,  Innovative Computing Labs.,  UTK
============================================================================

An explanation of the input/output parameters follows:
T/V    : Wall time / encoded variant.
N      : The order of the coefficient matrix A.
NB     : The partitioning blocking factor.
P      : The number of process rows.
Q      : The number of process columns.
Time   : Time in seconds to solve the linear system.
Gflops : Rate of execution for solving the linear system.

The following parameter values will be used:

N      :    1000
NB     :      64
P      :       1
Q      :       2
PFACT  :    Left    Crout    Right
NBMIN  :       8
NDIV   :       2
RFACT  :   Right
BCAST  :  1ringM
DEPTH  :       1
SWAP   : Mix (threshold = 80)
L1     : transposed form
U      : transposed form
EQUIL  : yes
ALIGN  : 8 double precision words

----------------------------------------------------------------------------

- The matrix A is randomly generated for each test.
- The following scaled residual checks will be computed:
   1) ||Ax-b||_oo / ( eps * ||A||_1  * N        )
   2) ||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  )
   3) ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo )
- The relative machine precision (eps) is taken to be          1.110223e-16
- Computational tests pass if scaled residuals are less than           16.0

============================================================================
T/V                N    NB     P     Q               Time             Gflops
----------------------------------------------------------------------------
W11R2L8         1000    64     1     2               0.38          1.775e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        1.0108964 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0245358 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0059277 ...... PASSED
============================================================================
T/V                N    NB     P     Q               Time             Gflops
----------------------------------------------------------------------------
W11R2C8         1000    64     1     2               0.37          1.807e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        1.0525457 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0255467 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0061719 ...... PASSED
============================================================================
T/V                N    NB     P     Q               Time             Gflops
----------------------------------------------------------------------------
W11R2R8         1000    64     1     2               0.39          1.692e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        1.0908244 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0264758 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0063964 ...... PASSED
============================================================================

Finished      3 tests with the following results:
              3 tests completed and passed residual checks,
              0 tests completed and failed residual checks,
              0 tests skipped because of illegal input values.



For this outputs could you please tell me what is the performance. Also tell
me what is this message "Warning: No xauth data; using fake authentication
data for X11 forwarding".

Regards,
Rajiv

----- Original Message -----
From: "Rajiv" <jrajiv at hclinsys.com>
To: <mwill at penguincomputing.com>; <beowulf at beowulf.org>
Sent: Thursday, July 29, 2004 1:53 PM
Subject: Re: [Beowulf] Benchmarking?


> Dear Michael,
> I have installed HPL and is working fine. After executing
> $ /opt/mpich/gnu/bin/mpirun -nolocal -np 4 -machinefile machines
> /opt/hpl/gnu/bin/xhpl
>
> I get three results. What are those results. Can I say the maximum among
> these three result (in GFLOPS) is the performance of the cluster.
>
> Regards,
> Rajiv
>
> ----- Original Message -----
> From: "Michael Will" <mwill at penguincomputing.com>
> To: <beowulf at beowulf.org>
> Sent: Thursday, July 29, 2004 2:13 AM
> Subject: Re: [Beowulf] Benchmarking?
>
>
> > description and link for download on
http://www.netlib.org/benchmark/hpl/
> >
> > Michael
> > On Wednesday 28 July 2004 11:57 am, Jack C wrote:
> > > I was just told about linpack, and that it was good. And apperantly
> there is
> > > an MPI implementation thereof, but I sure can't find it... the MPI
> standard
> > > site is not very informative. :(
> > >
> > > Anyone know where to find that, or any other good ones?
> > >
> > > Thanks again,
> > >
> > > -Jack C
> > > http://www.CREPinc.com
> > > _______________________________________________
> > > Beowulf mailing list, Beowulf at beowulf.org
> > > To change your subscription (digest mode or unsubscribe) visit
> http://www.beowulf.org/mailman/listinfo/beowulf
> > >
> >
> > --
> > Michael Will, Linux Sales Engineer
> > NEWS: We have moved to a larger iceberg :-)
> > NEWS: 300 California St., San Francisco, CA.
> > Tel:  415-954-2822  Toll Free:  888-PENGUIN
> > Fax:  415-954-2899
> > www.penguincomputing.com
> >
> > _______________________________________________
> > Beowulf mailing list, Beowulf at beowulf.org
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>
> _______________________________________________
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