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================================================================================                                                                                                                                   
HPLinpack 2.3  --  High-Performance Linpack benchmark  --   December 2, 2018                                                                                                                                       
Written by A. Petitet and R. Clint Whaley,  Innovative Computing Laboratory, UTK                                                                                                                                   
Modified by Piotr Luszczek, Innovative Computing Laboratory, UTK                                                                                                                                                   
Modified by Julien Langou, University of Colorado Denver                                                                                                                                                           
================================================================================                                                                                                                                   
                                                                                                                                                                                                                   
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      :   19008                                                                                                                                                                                                   
NB     :     192                                                                                                                                                                                                   
PMAP   : Row-major process mapping                                                                                                                                                                                 
P      :       1                                                                                                                                                                                                   
Q      :       1                                                                                                                                                                                                   
PFACT  :   Right                                                                                                                                                                                                   
NBMIN  :       4                                                                                                 
NDIV   :       2                                                                                                                                                                                                   
RFACT  :   Crout                                                                                                                                                                                                   
BCAST  :  1ringM                                                                                                                                                                                                   
DEPTH  :       1                                                                                                                                                                                                   
SWAP   : Mix (threshold = 64)                                                                                                                                                                                      
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 check will be computed:                                                                                                                                                            
      ||Ax-b||_oo / ( eps * ( || x ||_oo * || A ||_oo + || b ||_oo ) * N )                                                                                                                                         
- The relative machine precision (eps) is taken to be               1.110223e-16                                                                                                                                   
- Computational tests pass if scaled residuals are less than                16.0                                                                                                                                   
                                                                                                                                                                                                                   
Column=000000192 Fraction= 1.0% Gflops=1.352e+01                                                                                                                                                                   
Column=000000384 Fraction= 2.0% Gflops=1.353e+01                                                                                                                                                                   
Column=000000576 Fraction= 3.0% Gflops=1.355e+01                                                                                                                                                                   
Column=000000768 Fraction= 4.0% Gflops=1.358e+01                                                                                                                                                                   
Column=000000960 Fraction= 5.1% Gflops=1.360e+01                                                                                                                                                                   
Column=000001152 Fraction= 6.1% Gflops=1.359e+01                                                                                                                                                                   
Column=000001344 Fraction= 7.1% Gflops=1.359e+01                                                                                                                                                                   
Column=000001536 Fraction= 8.1% Gflops=1.357e+01                                                                                                                                                                   
Column=000001728 Fraction= 9.1% Gflops=1.357e+01                                                                                                                                                                   
Column=000001920 Fraction=10.1% Gflops=1.356e+01                                                                                                                                                                   
Column=000002112 Fraction=11.1% Gflops=1.356e+01                                                                                                                                                                   
Column=000002304 Fraction=12.1% Gflops=1.356e+01                                                                                                                                                                   
Column=000002496 Fraction=13.1% Gflops=1.355e+01                                                                                                                                                                   
Column=000002688 Fraction=14.1% Gflops=1.355e+01                                                                                                                                                                   
Column=000002880 Fraction=15.2% Gflops=1.353e+01                                                                                                                                                                   
Column=000003072 Fraction=16.2% Gflops=1.353e+01                                                                                                                                                                   
Column=000003264 Fraction=17.2% Gflops=1.353e+01                                                                                                                                                                   
Column=000003456 Fraction=18.2% Gflops=1.352e+01                                                                                                                                                                   
Column=000003648 Fraction=19.2% Gflops=1.352e+01                                                                                                                                                                   
Column=000003840 Fraction=20.2% Gflops=1.352e+01                                                                                                                                                                   
Column=000004032 Fraction=21.2% Gflops=1.351e+01                                                                                                                                                                   
Column=000004224 Fraction=22.2% Gflops=1.351e+01                                                                                                                                                                   
Column=000004416 Fraction=23.2% Gflops=1.351e+01                                                                                                                                                                   
Column=000004608 Fraction=24.2% Gflops=1.350e+01                                                                                                                                                                   
Column=000004800 Fraction=25.3% Gflops=1.350e+01 
Column=000004992 Fraction=26.3% Gflops=1.349e+01                                                                                                                                                                   
Column=000005184 Fraction=27.3% Gflops=1.349e+01                                                                                                                                                                   
Column=000005376 Fraction=28.3% Gflops=1.349e+01                                                                                                                                                                   
Column=000005568 Fraction=29.3% Gflops=1.348e+01                                                                                                                                                                   
Column=000005760 Fraction=30.3% Gflops=1.348e+01                                                                                                                                                                   
Column=000005952 Fraction=31.3% Gflops=1.347e+01                                                                                                                                                                   
Column=000006144 Fraction=32.3% Gflops=1.346e+01                                                                                                                                                                   
Column=000006336 Fraction=33.3% Gflops=1.346e+01                                                                                                                                                                   
Column=000006528 Fraction=34.3% Gflops=1.345e+01                                                                                                                                                                   
Column=000006720 Fraction=35.4% Gflops=1.345e+01                                                                                                                                                                   
Column=000006912 Fraction=36.4% Gflops=1.344e+01                                                                                                                                                                   
Column=000007104 Fraction=37.4% Gflops=1.344e+01                                                                                                                                                                   
Column=000007296 Fraction=38.4% Gflops=1.343e+01                                                                                                                                                                   
Column=000007488 Fraction=39.4% Gflops=1.343e+01                                                                                                                                                                   
Column=000007680 Fraction=40.4% Gflops=1.343e+01                                                                                                                                                                   
Column=000007872 Fraction=41.4% Gflops=1.343e+01                                                                                                                                                                   
Column=000008064 Fraction=42.4% Gflops=1.342e+01                                                                                                                                                                   
Column=000008256 Fraction=43.4% Gflops=1.342e+01                                                                                                                                                                   
Column=000008448 Fraction=44.4% Gflops=1.341e+01                                                                                                                                                                   
Column=000008640 Fraction=45.5% Gflops=1.341e+01                                                                                                                                                                   
Column=000008832 Fraction=46.5% Gflops=1.341e+01                                                                                                                                                                   
Column=000009024 Fraction=47.5% Gflops=1.340e+01                                                                                                                                                                   
Column=000009216 Fraction=48.5% Gflops=1.340e+01                                                                                                                                                                   
Column=000009408 Fraction=49.5% Gflops=1.340e+01                                                                                                                                                                   
Column=000009600 Fraction=50.5% Gflops=1.339e+01                                                                                                                                                                   
Column=000009792 Fraction=51.5% Gflops=1.339e+01                                                                                                                                                                   
Column=000009984 Fraction=52.5% Gflops=1.339e+01                                                                                                                                                                   
Column=000010176 Fraction=53.5% Gflops=1.339e+01                                                                                                                                                                   
Column=000010368 Fraction=54.5% Gflops=1.338e+01                                                                                                                                                                   
Column=000010560 Fraction=55.6% Gflops=1.338e+01                                                                                                                                                                   
Column=000010752 Fraction=56.6% Gflops=1.338e+01                                                                                                                                                                   
Column=000010944 Fraction=57.6% Gflops=1.337e+01                                                                                                                                                                   
Column=000011136 Fraction=58.6% Gflops=1.337e+01                                                                                                                                                                   
Column=000011328 Fraction=59.6% Gflops=1.337e+01                                                                                                                                                                   
Column=000011520 Fraction=60.6% Gflops=1.336e+01                                                                                                                                                                   
Column=000011712 Fraction=61.6% Gflops=1.336e+01                                                                                                                                                                   
Column=000011904 Fraction=62.6% Gflops=1.336e+01                                                                                                                                                                   
Column=000012096 Fraction=63.6% Gflops=1.335e+01                                                                                                                                                                   
Column=000012288 Fraction=64.6% Gflops=1.335e+01                                                                                                                                                                   
Column=000012480 Fraction=65.7% Gflops=1.335e+01                                                                                                                                                                   
Column=000012672 Fraction=66.7% Gflops=1.334e+01                                                                                                                                                                   
Column=000012864 Fraction=67.7% Gflops=1.334e+01                                                                                                                                                                   
Column=000013056 Fraction=68.7% Gflops=1.334e+01                                                                                                                                                                   
Column=000013248 Fraction=69.7% Gflops=1.333e+01                                                                                                                                                                   
Column=000013440 Fraction=70.7% Gflops=1.333e+01                                                                                                                                                                   
Column=000013632 Fraction=71.7% Gflops=1.333e+01                                                                                                                                                                   
Column=000013824 Fraction=72.7% Gflops=1.333e+01                                                                                                                                                                   
Column=000014016 Fraction=73.7% Gflops=1.332e+01                                                                                                                                                                   
Column=000014208 Fraction=74.7% Gflops=1.332e+01                                                                                                                                                                   
Column=000014400 Fraction=75.8% Gflops=1.332e+01  
Column=000014592 Fraction=76.8% Gflops=1.331e+01
Column=000014784 Fraction=77.8% Gflops=1.331e+01
Column=000014976 Fraction=78.8% Gflops=1.331e+01
Column=000015168 Fraction=79.8% Gflops=1.331e+01
Column=000015360 Fraction=80.8% Gflops=1.330e+01
Column=000015552 Fraction=81.8% Gflops=1.330e+01
Column=000015744 Fraction=82.8% Gflops=1.330e+01
Column=000015936 Fraction=83.8% Gflops=1.330e+01
Column=000016128 Fraction=84.8% Gflops=1.330e+01
Column=000016320 Fraction=85.9% Gflops=1.330e+01
Column=000016512 Fraction=86.9% Gflops=1.329e+01
Column=000016704 Fraction=87.9% Gflops=1.329e+01
Column=000016896 Fraction=88.9% Gflops=1.329e+01
Column=000017088 Fraction=89.9% Gflops=1.329e+01
Column=000017280 Fraction=90.9% Gflops=1.329e+01
Column=000017472 Fraction=91.9% Gflops=1.329e+01
Column=000017664 Fraction=92.9% Gflops=1.329e+01
Column=000017856 Fraction=93.9% Gflops=1.328e+01
Column=000018048 Fraction=94.9% Gflops=1.328e+01
Column=000018240 Fraction=96.0% Gflops=1.328e+01
Column=000018432 Fraction=97.0% Gflops=1.328e+01
Column=000018624 Fraction=98.0% Gflops=1.328e+01
Column=000018816 Fraction=99.0% Gflops=1.328e+01
================================================================================
T/V                N    NB     P     Q               Time                 Gflops
--------------------------------------------------------------------------------
WR11C2R4       19008   192     1     1             345.24             1.3263e+01
HPL_pdgesv() start time Fri Jun  5 16:39:38 2020

HPL_pdgesv() end time   Fri Jun  5 16:45:23 2020

--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV-
Max aggregated wall time rfact . . . :               9.47
+ Max aggregated wall time pfact . . :               3.14
+ Max aggregated wall time mxswp . . :               0.64
Max aggregated wall time update  . . :             335.26
+ Max aggregated wall time laswp . . :              10.44
Max aggregated wall time up tr sv  . :               0.49
--------------------------------------------------------------------------------
||Ax-b||_oo/(eps*(||A||_oo*||x||_oo+||b||_oo)*N)=   9.59421981e-04 ...... PASSED
================================================================================

Finished      1 tests with the following results:
              1 tests completed and passed residual checks,
              0 tests completed and failed residual checks,
              0 tests skipped because of illegal input values.
--------------------------------------------------------------------------------

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