[클러스터] Opteron 244 System HPL 결과 Reports 1000M 환경

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HPLinpack 1.0a  —  High-Performance Linpack benchmark  —   January 20, 2004

Written by A. Petitet and R. Clint Whaley,  Innovative Computing Labs.,  UTK

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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     5000    10000    20000    25000

NB     :     104      256

PMAP   : Row-major process mapping

P      :       1        2

Q      :       6        3

PFACT  :   Crout

NBMIN  :       4

NDIV   :       2

RFACT  :   Right

BCAST  :   1ring

DEPTH  :       1

SWAP   : Mix (threshold = 64)

L1     : transposed form

U      : transposed form

EQUIL  : yes

ALIGN  : 8 double precision words

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– 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

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4        1000   104     1     6               0.17          3.964e+00

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        1.1353626 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0275568 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0066575 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4        1000   256     1     6               0.27          2.505e+00

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        1.0698794 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0259674 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0062735 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4        5000   104     1     6               7.41          1.125e+01

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.0217522 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0143597 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0028030 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4        5000   256     1     6               8.00          1.042e+01

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.0284354 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0187717 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0036642 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4       10000   104     1     6              50.35          1.324e+01

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.0528937 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0125162 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0027976 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4       10000   256     1     6              49.94          1.335e+01

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.0649425 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0153673 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0034349 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4       20000   104     1     6             362.80          1.470e+01

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.0159373 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0154251 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0029397 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4       20000   256     1     6             363.60          1.467e+01

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.0133826 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0129525 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0024685 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4       25000   104     1     6             692.77          1.504e+01

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.0509221 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0125733 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0021652 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4       25000   256     1     6             671.68          1.551e+01

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.0547340 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0135145 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0023273 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4        1000   104     2     3               0.37          1.795e+00

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.7752052 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0188153 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0045456 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4        1000   256     2     3               0.35          1.889e+00

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        1.1565484 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0280710 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0067817 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4        5000   104     2     3               8.17          1.020e+01

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.0282170 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0186275 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0036361 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4        5000   256     2     3               8.47          9.842e+00

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.0292764 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0193268 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0037726 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4       10000   104     2     3              55.63          1.199e+01

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.0698010 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0165170 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0036919 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4       10000   256     2     3              54.22          1.230e+01

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.0734337 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0173766 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0038840 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4       20000   104     2     3             379.09          1.407e+01

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.0204274 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0197708 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0037680 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4       20000   256     2     3             364.26          1.464e+01

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.0177624 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0171915 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0032764 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4       25000   104     2     3             722.77          1.441e+01

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.0732568 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0180881 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0031149 …… PASSED

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T/V                N    NB     P     Q               Time             Gflops

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WR10R2C4       25000   256     2     3             680.44          1.531e+01

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||Ax-b||_oo / ( eps * ||A||_1  * N        ) =        0.0614958 …… PASSED

||Ax-b||_oo / ( eps * ||A||_1  * ||x||_1  ) =        0.0151841 …… PASSED

||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) =        0.0026148 …… PASSED

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Finished     20 tests with the following results:

             20 tests completed and passed residual checks,

              0 tests completed and failed residual checks,

              0 tests skipped because of illegal input values.

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End of Tests.

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