================================================================================ HPLinpack 2.1 -- High-Performance Linpack benchmark -- October 26, 2012 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 : 80764 NB : 224 PMAP : Row-major process mapping P : 1 Q : 24 PFACT : Right NBMIN : 4 NDIV : 2 RFACT : Crout BCAST : 1ringM DEPTH : 0 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=000448 Fraction=0.005 Mflops=406474.17 Column=000896 Fraction=0.010 Mflops=434313.77 Column=001344 Fraction=0.015 Mflops=441814.07 Column=001792 Fraction=0.020 Mflops=444164.95 Column=002240 Fraction=0.025 Mflops=445260.45 Column=002464 Fraction=0.030 Mflops=446158.66 Column=002912 Fraction=0.035 Mflops=446367.66 Column=003360 Fraction=0.040 Mflops=446009.84 Column=003808 Fraction=0.045 Mflops=445472.71 Column=004256 Fraction=0.050 Mflops=444734.74 Column=004480 Fraction=0.055 Mflops=444157.90 Column=004928 Fraction=0.060 Mflops=443558.71 Column=005376 Fraction=0.065 Mflops=442756.62 Column=005824 Fraction=0.070 Mflops=440287.30 Column=006272 Fraction=0.075 Mflops=441297.24 Column=006496 Fraction=0.080 Mflops=441739.90 Column=006944 Fraction=0.085 Mflops=442323.28 Column=007392 Fraction=0.090 Mflops=442707.51 Column=007840 Fraction=0.095 Mflops=442998.80 Column=008288 Fraction=0.100 Mflops=443063.86 Column=008512 Fraction=0.105 Mflops=443024.47 Column=008960 Fraction=0.110 Mflops=442843.81 Column=009408 Fraction=0.115 Mflops=442465.81 Column=009856 Fraction=0.120 Mflops=442198.78 Column=010304 Fraction=0.125 Mflops=441776.40 Column=010528 Fraction=0.130 Mflops=441531.25 Column=010976 Fraction=0.135 Mflops=441689.04 Column=011424 Fraction=0.140 Mflops=440162.72 Column=011872 Fraction=0.145 Mflops=440527.79 Column=012320 Fraction=0.150 Mflops=440860.30 Column=012544 Fraction=0.155 Mflops=440960.60 Column=012992 Fraction=0.160 Mflops=441116.42 Column=013440 Fraction=0.165 Mflops=441153.05 Column=013888 Fraction=0.170 Mflops=441076.88 Column=014336 Fraction=0.175 Mflops=440946.73 Column=014560 Fraction=0.180 Mflops=440847.50 Column=015008 Fraction=0.185 Mflops=440591.37 Column=015456 Fraction=0.190 Mflops=440314.98 Column=015904 Fraction=0.195 Mflops=439968.71 Column=016352 Fraction=0.200 Mflops=440029.92 Column=016576 Fraction=0.205 Mflops=438880.56 Column=017024 Fraction=0.210 Mflops=439112.99 Column=017472 Fraction=0.215 Mflops=439308.61 Column=017920 Fraction=0.220 Mflops=439305.82 Column=018368 Fraction=0.225 Mflops=439449.11 Column=018592 Fraction=0.230 Mflops=439464.58 Column=019040 Fraction=0.235 Mflops=439421.42 Column=019488 Fraction=0.240 Mflops=439310.61 Column=019936 Fraction=0.245 Mflops=439152.60 Column=020384 Fraction=0.250 Mflops=438948.14 Column=020608 Fraction=0.255 Mflops=438823.88 Column=021056 Fraction=0.260 Mflops=438569.62 Column=021504 Fraction=0.265 Mflops=438269.79 Column=021952 Fraction=0.270 Mflops=437512.86 Column=022400 Fraction=0.275 Mflops=437635.52 Column=022624 Fraction=0.280 Mflops=437697.54 Column=023072 Fraction=0.285 Mflops=437765.20 Column=023520 Fraction=0.290 Mflops=437809.39 Column=023968 Fraction=0.295 Mflops=437794.85 Column=024416 Fraction=0.300 Mflops=437731.23 Column=024640 Fraction=0.305 Mflops=437687.48 Column=025088 Fraction=0.310 Mflops=437559.79 Column=025536 Fraction=0.315 Mflops=437384.19 Column=025984 Fraction=0.320 Mflops=437179.12 Column=026432 Fraction=0.325 Mflops=436948.54 Column=026656 Fraction=0.330 Mflops=436822.66 Column=027104 Fraction=0.335 Mflops=436795.70 Column=027552 Fraction=0.340 Mflops=436117.27 Column=028000 Fraction=0.345 Mflops=436194.12 Column=028448 Fraction=0.350 Mflops=436200.19 Column=028672 Fraction=0.355 Mflops=436199.96 Column=029120 Fraction=0.360 Mflops=436184.64 Column=029568 Fraction=0.365 Mflops=436116.95 Column=030016 Fraction=0.370 Mflops=436024.64 Column=030464 Fraction=0.375 Mflops=435884.99 Column=030912 Fraction=0.380 Mflops=435721.15 Column=031136 Fraction=0.385 Mflops=435634.96 Column=031584 Fraction=0.390 Mflops=435434.58 Column=032032 Fraction=0.395 Mflops=435202.66 Column=032480 Fraction=0.400 Mflops=435158.89 Column=032928 Fraction=0.405 Mflops=434575.97 Column=033152 Fraction=0.410 Mflops=434603.82 Column=033600 Fraction=0.415 Mflops=434617.67 Column=034048 Fraction=0.420 Mflops=434576.52 Column=034496 Fraction=0.425 Mflops=434529.11 Column=034944 Fraction=0.430 Mflops=434451.46 Column=035168 Fraction=0.435 Mflops=434366.85 Column=035616 Fraction=0.440 Mflops=434287.19 Column=036064 Fraction=0.445 Mflops=434142.08 Column=036512 Fraction=0.450 Mflops=433978.52 Column=036960 Fraction=0.455 Mflops=433790.86 Column=037184 Fraction=0.460 Mflops=433690.05 Column=037632 Fraction=0.465 Mflops=433487.31 Column=038080 Fraction=0.470 Mflops=433029.55 Column=038528 Fraction=0.475 Mflops=433020.94 Column=038976 Fraction=0.480 Mflops=433004.70 Column=039200 Fraction=0.485 Mflops=432978.93 Column=039648 Fraction=0.490 Mflops=432918.43 Column=040096 Fraction=0.495 Mflops=432846.71 Column=041664 Fraction=0.515 Mflops=432410.75 Column=043232 Fraction=0.535 Mflops=431880.59 Column=045024 Fraction=0.555 Mflops=431278.31 Column=046592 Fraction=0.575 Mflops=430895.81 Column=048160 Fraction=0.595 Mflops=430309.37 Column=049728 Fraction=0.615 Mflops=429770.78 Column=051296 Fraction=0.635 Mflops=429450.87 Column=053088 Fraction=0.655 Mflops=428915.75 Column=054656 Fraction=0.675 Mflops=428312.65 Column=056224 Fraction=0.695 Mflops=428047.44 Column=064288 Fraction=0.795 Mflops=426113.30 Column=072352 Fraction=0.895 Mflops=424798.57 Column=080416 Fraction=0.995 Mflops=424235.46 ================================================================================ T/V N NB P Q Time Gflops -------------------------------------------------------------------------------- WR01C2R4 80764 224 1 24 828.61 4.23860e+02 HPL_pdgesv() start time Thu Aug 6 10:27:54 2015 HPL_pdgesv() end time Thu Aug 6 10:41:43 2015 -------------------------------------------------------------------------------- ||Ax-b||_oo/(eps*(||A||_oo*||x||_oo+||b||_oo)*N)= 0.0019411 ...... 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. ================================================================================