[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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