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i7-4790_gcc-7.5.0_LinuxMint19.3

Single precision, complex data for powers of 2, utilizing SIMD

Showing Millions of Operations Per Second (MFLOPS). More is better.

gnuplot figure

size log2 FFTPack FFTW F(estim) FFTW F(auto) Green Kiss Pocket PFFFT-U(simd) PFFFT (simd)
2 1.000 497.726335 694.085317 1716.026867 2169.634501 1138.605782 363.445734 0.000000 0.000000
4 2.000 1237.912575 2699.878194 4903.653124 4643.110708 2868.671938 1179.849477 0.000000 0.000000
8 3.000 1578.885846 5435.669800 6998.950796 5813.349326 2393.303192 1923.487315 0.000000 0.000000
16 4.000 3861.050214 8333.174168 8494.386876 2946.289505 3736.802722 3526.145711 9835.290407 7935.565260
32 5.000 4145.598907 10683.989108 20224.509694 4060.972733 3237.755653 4576.809322 11452.113464 9710.951885
64 6.000 6589.638825 27359.827391 29484.082078 5012.393949 4363.468968 6071.533167 16470.323410 13761.857089
128 7.000 7072.063961 30805.933249 36097.425522 4501.734856 3753.301029 6784.427242 17132.511740 12291.400544
256 8.000 7598.759246 34104.952840 39358.341528 5142.255550 4913.999151 8057.870346 21440.669786 16389.999802
512 9.000 7376.765183 36024.341808 37166.919439 4667.381141 4093.867160 8104.486344 18010.253134 17700.370066
1024 10.000 7165.926259 39185.271895 42814.556878 4913.778006 5013.075874 9111.503530 22486.239937 15313.794875
2048 11.000 7560.471273 37139.838567 35756.991407 4947.449331 4913.394304 8677.126244 19639.249558 17574.119545
4096 12.000 6337.206543 27371.235155 0.000000 5072.184098 5312.107659 8585.102143 17513.912312 14871.932881
8192 13.000 6215.666039 19391.191244 0.000000 4625.617462 4541.654060 7431.338640 14439.113406 12115.336170
16384 14.000 6313.045227 20013.469073 0.000000 4885.297683 4912.403709 8437.436022 16090.931548 14600.172826
32768 15.000 5830.950827 17000.963443 0.000000 4603.324748 2421.754922 5873.882965 11197.324896 9896.050268
65536 16.000 4958.392245 17344.499552 0.000000 4432.532473 4116.906164 8771.898180 14806.075520 13326.091463
131072 17.000 5338.093445 17813.560022 0.000000 4547.246239 3741.939118 8360.570323 13980.944078 12660.112709
262144 18.000 4532.517066 13600.831177 0.000000 4144.361159 3444.662034 7084.972973 12357.268281 13209.514001
524288 19.000 4609.506131 6004.069627 0.000000 4268.400872 2277.142106 6631.608660 9054.296195 9401.576765
1048576 20.000 4078.977704 4536.123593 0.000000 3859.126040 1894.634517 5937.979931 6642.274363 6138.952151
2097152 21.000 4015.755846 3381.061990 0.000000 3582.163442 1410.766885 5065.788478 6396.325276 5861.357929

Single precision, real data for powers of 2, utilizing SIMD

Showing Millions of Operations Per Second (MFLOPS). More is better.

gnuplot figure

size log2 FFTPack FFTW F(estim) FFTW F(auto) Green Kiss Pocket PFFFT-U(simd) PFFFT (simd)
2 1.000 267.970710 788.811619 679.084602 1039.398958 263.852254 170.441328 0.000000 0.000000
4 2.000 897.501628 2686.471133 2658.663672 3527.638304 1219.293753 625.888983 0.000000 0.000000
8 3.000 1212.365565 5031.952595 4007.221690 5536.194876 2774.318962 1066.789195 0.000000 0.000000
16 4.000 2571.592929 7445.392502 7297.965629 4816.054021 2525.455487 2122.053592 0.000000 0.000000
32 5.000 2889.310879 4934.434504 8472.754067 3044.771531 3505.390001 2824.959250 7401.027557 6058.384422
64 6.000 5271.096681 6894.002373 9630.135553 3995.215340 3251.516990 3890.389208 11822.909486 10206.541611
128 7.000 6005.319394 11162.100506 13014.049715 4590.131539 4310.933541 4567.638265 15238.716341 12960.997368
256 8.000 6675.722131 13766.048229 15794.003284 4219.952583 3483.939642 5215.785696 20395.866152 17830.538819
512 9.000 6688.703707 15701.720184 19058.725531 4811.664642 4743.008905 6154.404051 19569.583931 16094.693296
1024 10.000 6916.105102 14958.375891 19574.336972 4294.074007 4339.447768 6856.791631 24739.491522 21157.663509
2048 11.000 7057.775563 16497.079672 19755.341487 4635.934090 4058.968966 6265.912645 23351.994257 21777.444230
4096 12.000 6650.016582 15897.022940 0.000000 4810.525322 4719.156247 7076.769246 23073.189634 21165.572676
8192 13.000 5744.736031 14379.704542 0.000000 4566.838506 5043.687107 5832.302072 14115.869196 12037.858464
16384 14.000 5487.500131 15148.887963 0.000000 4080.373475 3487.805156 6399.785060 14885.816036 13271.798388
32768 15.000 5878.957021 13366.523470 0.000000 4393.631382 4586.411617 5848.488855 12384.900378 11202.697713
65536 16.000 4643.170757 12325.046950 0.000000 4457.714396 3689.450522 5581.783865 11558.953820 10585.387173
131072 17.000 5405.792894 12357.445730 0.000000 4294.843409 4072.153095 5647.782565 11398.549581 10554.884143
262144 18.000 5089.742168 11113.839785 0.000000 3705.846041 3633.879091 6036.578252 11774.500932 10714.755549
524288 19.000 5079.953849 9092.311925 0.000000 4033.386572 3278.050835 5643.780628 10720.272370 9768.575202
1048576 20.000 4550.659657 8788.441527 0.000000 3784.835286 2008.150758 4105.327861 7804.711516 8177.359545
2097152 21.000 3688.664247 6421.725284 0.000000 3821.628495 2105.111326 3968.395228 5722.626887 4940.259688

Single precision, complex data for powers of 2, utilizing SIMD

Showing Duration relative to ordered PFFFT. Less is better.

gnuplot figure

size log2 FFTPack FFTW F(estim) FFTW F(auto) Green Kiss Pocket PFFFT-U(simd) PFFFT (simd)
2 1.000 inf inf inf inf inf inf 0.000000 0.000000
4 2.000 inf inf inf inf inf inf 0.000000 0.000000
8 3.000 inf inf inf inf inf inf 0.000000 0.000000
16 4.000 2.055296 0.952290 0.934216 2.693426 2.123639 2.250502 0.806847 1.000000
32 5.000 2.342482 0.908928 0.480160 2.391304 2.999289 2.121784 0.847964 1.000000
64 6.000 2.088413 0.502998 0.466757 2.745575 3.153891 2.266616 0.835552 1.000000
128 7.000 1.738016 0.398995 0.340507 2.730382 3.274821 1.811710 0.717431 1.000000
256 8.000 2.156932 0.480582 0.416436 3.187340 3.335362 2.034032 0.764434 1.000000
512 9.000 2.399485 0.491348 0.476243 3.792362 4.323629 2.184023 0.982797 1.000000
1024 10.000 2.137024 0.390807 0.357677 3.116531 3.054775 1.680717 0.681026 1.000000
2048 11.000 2.324492 0.473192 0.491486 3.552164 3.576787 2.025361 0.894845 1.000000
4096 12.000 2.346753 0.543341 0.543341 2.932048 2.799612 1.732301 0.849146 1.000000
8192 13.000 1.949157 0.624786 0.624786 2.619187 2.667594 1.630307 0.839069 1.000000
16384 14.000 2.312675 0.729529 0.729529 2.988540 2.972103 1.730443 0.907354 1.000000
32768 15.000 1.697141 0.582087 0.582087 2.149748 4.086333 1.684725 0.883800 1.000000
65536 16.000 2.687607 0.768320 0.768320 3.006418 3.236926 1.519192 0.900043 1.000000
131072 17.000 2.371670 0.710706 0.710706 2.784122 3.383301 1.514247 0.905514 1.000000
262144 18.000 2.914366 0.971229 0.971229 3.187296 3.834726 1.864411 1.068940 1.000000
524288 19.000 2.039631 1.565886 1.565886 2.202622 4.128663 1.417697 1.038357 1.000000
1048576 20.000 1.505047 1.353348 1.353348 1.590770 3.240184 1.033857 0.924223 1.000000
2097152 21.000 1.459562 1.733538 1.733538 1.636239 4.154643 1.157029 0.916332 1.000000

Single precision, real data for powers of 2, utilizing SIMD

Showing Duration relative to ordered PFFFT. Less is better.

gnuplot figure

size log2 FFTPack FFTW F(estim) FFTW F(auto) Green Kiss Pocket PFFFT-U(simd) PFFFT (simd)
2 1.000 inf inf inf inf inf inf 0.000000 0.000000
4 2.000 inf inf inf inf inf inf 0.000000 0.000000
8 3.000 inf inf inf inf inf inf 0.000000 0.000000
16 4.000 inf inf inf inf inf inf 0.000000 0.000000
32 5.000 2.096822 1.227780 0.715045 1.989765 1.728307 2.144588 0.818586 1.000000
64 6.000 1.936313 1.480493 1.059856 2.554683 3.138997 2.623515 0.863279 1.000000
128 7.000 2.158253 1.161164 0.995924 2.823660 3.006539 2.837559 0.850533 1.000000
256 8.000 2.670976 1.295263 1.128954 4.225311 5.117962 3.418592 0.874219 1.000000
512 9.000 2.406250 1.025039 0.844482 3.344961 3.393370 2.615150 0.822445 1.000000
1024 10.000 3.059215 1.414434 1.080893 4.927163 4.875661 3.085650 0.855219 1.000000
2048 11.000 3.085571 1.320060 1.102348 4.697507 5.365219 3.475503 0.932563 1.000000
4096 12.000 3.182759 1.331413 1.331413 4.399785 4.484987 2.990819 0.917309 1.000000
8192 13.000 2.095468 0.837148 0.837148 2.635965 2.386741 2.064016 0.852801 1.000000
16384 14.000 2.418549 0.876081 0.876081 3.252583 3.805160 2.073784 0.891564 1.000000
32768 15.000 1.905506 0.838099 0.838099 2.549769 2.442562 1.915457 0.904532 1.000000
65536 16.000 2.279789 0.858859 0.858859 2.374605 2.869133 1.896401 0.915780 1.000000
131072 17.000 1.952539 0.854131 0.854131 2.457585 2.592015 1.868857 0.925983 1.000000
262144 18.000 2.105189 0.964096 0.964096 2.891314 2.948629 1.774961 0.909998 1.000000
524288 19.000 1.922976 1.074395 1.074395 2.421932 2.980024 1.730862 0.911222 1.000000
1048576 20.000 1.796989 0.930468 0.930468 2.160597 4.072093 1.991918 1.047773 1.000000
2097152 21.000 1.339296 0.769293 0.769293 1.292710 2.346784 1.244897 0.863280 1.000000