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i7-8550U_gcc-9.3.0_x64_Ubuntu-20.04.1LTS

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 1.000 497.454476 1037.861130 1659.898419 2153.815035 1154.244765 366.071403 0.000000 0.000000
4 2.000 1322.487925 3186.974031 4768.022234 6501.049593 3423.679586 1195.484906 0.000000 0.000000
8 3.000 1847.696245 6154.108321 8109.535814 9533.315421 2435.917801 2115.276555 0.000000 0.000000
16 4.000 4919.928110 9754.559418 9878.373501 3370.200688 4788.266737 3912.927491 11021.139145 9019.099156
32 5.000 5332.373621 12855.425946 26956.731215 4543.280010 3175.036324 5248.389594 12552.009770 10635.614399
64 6.000 7542.769147 34957.096550 40030.462752 5622.494943 5271.824525 7110.100878 18935.134017 15617.520447
128 7.000 8653.591191 40081.489812 47425.889304 5313.909769 3758.061483 8262.702689 21470.087756 17705.086378
256 8.000 9065.515137 45073.174634 52477.973363 5866.177819 5680.739680 9456.016336 25295.637998 20935.379238
512 9.000 8998.700970 49249.342488 54693.468236 6424.318165 4226.589165 10007.399320 24100.705976 20511.978548
1024 10.000 8579.036731 49570.359530 55947.019868 5820.007557 5830.911272 11195.785225 27193.729478 23236.157349
2048 11.000 9241.086562 49035.492065 52105.252068 6035.115744 4586.138530 11296.844003 23234.543161 20212.339087
4096 12.000 8255.328548 36047.110922 0.000000 6141.937047 6006.728221 11616.027273 19785.409876 18535.149376
8192 13.000 8364.645858 25783.794173 0.000000 5641.879139 4823.798834 11381.145439 19263.244976 16773.354334
16384 14.000 7534.398163 23672.353432 0.000000 5784.383002 5842.066286 11603.184595 20551.768079 18774.911992
32768 15.000 8147.276195 24206.540338 0.000000 5757.652056 4364.937297 11611.553809 17730.219406 16343.896920
65536 16.000 7382.027534 20506.701434 0.000000 5338.075683 4754.353003 11742.485535 18775.483785 16977.763208
131072 17.000 7374.659933 19894.061805 0.000000 5345.599360 3803.079024 10094.888704 15936.122060 14528.092824
262144 18.000 6907.017798 19030.354512 0.000000 5338.164492 4199.556779 10084.812311 17072.392493 15934.328224
524288 19.000 6350.792457 7177.323115 0.000000 4836.047504 2012.449078 7915.143553 11492.164461 10793.801047
1048576 20.000 5312.372472 4915.363205 0.000000 4316.282133 1712.736791 6418.569347 8122.566860 7699.172745
2097152 21.000 4952.426105 2511.186935 0.000000 3521.032320 1054.746266 5685.539892 7599.207183 7243.293787

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 1.000 315.076963 813.317737 885.397408 1022.026896 271.162714 176.334189 0.000000 0.000000
4 2.000 916.217520 2803.329968 2823.564160 3612.966280 1289.504982 627.823893 0.000000 0.000000
8 3.000 1257.079185 5904.108401 5939.481620 5976.256915 3050.314559 1045.909719 0.000000 0.000000
16 4.000 3117.178051 9190.612643 9225.912415 8047.042600 2567.240018 2693.879684 0.000000 0.000000
32 5.000 3702.211145 5695.665982 9908.009491 3390.332181 4532.392859 3649.244594 7926.748745 7039.620868
64 6.000 6193.256958 7555.000694 11762.263623 4392.679789 3268.044253 6299.429665 13116.860454 11400.517381
128 7.000 7050.079827 13128.786843 17248.755254 5287.491424 5054.726204 6909.440660 17374.977402 15195.328599
256 8.000 8506.564269 15517.537942 21802.313770 5144.181360 3808.570245 8772.554546 23667.602916 20466.080931
512 9.000 8143.570745 17595.853054 25258.452823 5689.083346 5438.521261 7969.939343 25931.886972 22676.451807
1024 10.000 8592.592593 18015.155019 25765.953893 6178.959109 4213.855869 9115.678549 27261.179369 24712.835964
2048 11.000 8462.309608 20312.546472 26817.804673 5699.697557 5684.452322 8750.895809 29198.930000 26029.749256
4096 12.000 6824.871404 20642.901686 0.000000 5937.062219 4545.429903 9110.247458 27735.957582 24842.426018
8192 13.000 7612.849563 18773.185940 0.000000 5981.858865 5770.802061 8083.624599 19636.451377 17892.815122
16384 14.000 7452.309406 20195.826713 0.000000 5249.393533 4769.963705 8180.281778 21150.771810 19174.905291
32768 15.000 7262.977397 17334.411412 0.000000 5698.509671 5640.862395 7732.346054 19807.595747 17963.605093
65536 16.000 6937.455536 15666.704296 0.000000 5668.525533 4324.053046 7595.401723 17589.809351 15909.082488
131072 17.000 6714.463784 14719.213645 0.000000 5287.669673 4805.376587 7095.266185 16865.466424 15230.007300
262144 18.000 6369.170233 14490.171770 0.000000 5283.977604 3762.782525 7125.629719 15879.997867 14436.855296
524288 19.000 6341.614836 14742.981181 0.000000 5142.765248 3803.661310 6940.778914 15186.378556 14076.626421
1048576 20.000 5683.989135 12605.229891 0.000000 4687.420653 2167.318951 5540.655610 11080.359808 10115.011126
2097152 21.000 4081.524356 6310.061668 0.000000 4005.984573 1707.368013 4098.566687 6908.872309 6260.226413

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 1.833179 0.924606 0.913017 2.676133 1.883587 2.304964 0.818349 1.000000
32 5.000 1.994536 0.827329 0.394545 2.340964 3.349779 2.026457 0.847323 1.000000
64 6.000 2.070539 0.446765 0.390143 2.777698 2.962457 2.196535 0.824791 1.000000
128 7.000 2.045961 0.441722 0.373318 3.331813 4.711209 2.142752 0.824632 1.000000
256 8.000 2.309362 0.464476 0.398937 3.568843 3.685324 2.213968 0.827619 1.000000
512 9.000 2.279432 0.416493 0.375035 3.192865 4.853086 2.049661 0.851098 1.000000
1024 10.000 2.708491 0.468751 0.415321 3.992445 3.984984 2.075445 0.854467 1.000000
2048 11.000 2.187233 0.412201 0.387915 3.349158 4.407291 1.789202 0.869924 1.000000
4096 12.000 2.245209 0.514194 0.514194 3.017811 3.085720 1.595657 0.936803 1.000000
8192 13.000 2.005301 0.650539 0.650539 2.973031 3.477248 1.473796 0.870748 1.000000
16384 14.000 2.491850 0.793105 0.793105 3.245756 3.213652 1.618047 0.913540 1.000000
32768 15.000 2.006040 0.675177 0.675177 2.838577 3.744239 1.407537 0.921799 1.000000
65536 16.000 2.299869 0.827917 0.827917 3.180475 3.570972 1.445840 0.904232 1.000000
131072 17.000 1.970048 0.730304 0.730304 2.717800 3.820124 1.439165 0.911668 1.000000
262144 18.000 2.306998 0.837312 0.837312 2.984996 3.794313 1.580041 0.933362 1.000000
524288 19.000 1.699628 1.503857 1.503857 2.231953 5.363548 1.363690 0.939232 1.000000
1048576 20.000 1.449268 1.566347 1.566347 1.783734 4.495203 1.199524 0.947856 1.000000
2097152 21.000 1.462575 2.884432 2.884432 2.057136 6.867325 1.274009 0.953175 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 1.901455 1.235956 0.710491 2.076367 1.553174 1.929056 0.888083 1.000000
64 6.000 1.840791 1.509000 0.969245 2.595342 3.488482 1.809769 0.869147 1.000000
128 7.000 2.155332 1.157406 0.880948 2.873829 3.006155 2.199197 0.874545 1.000000
256 8.000 2.405940 1.318912 0.938713 3.978490 5.373744 2.332981 0.864731 1.000000
512 9.000 2.784584 1.288745 0.897777 3.985973 4.169604 2.845244 0.874459 1.000000
1024 10.000 2.876046 1.371773 0.959123 3.999502 5.864644 2.711022 0.906514 1.000000
2048 11.000 3.075988 1.281463 0.970622 4.566880 4.579152 2.974539 0.891467 1.000000
4096 12.000 3.639942 1.203424 1.203424 4.184242 5.465286 2.726865 0.895674 1.000000
8192 13.000 2.350326 0.953105 0.953105 2.991153 3.100575 2.213436 0.911199 1.000000
16384 14.000 2.572990 0.949442 0.949442 3.652708 4.019901 2.344020 0.906583 1.000000
32768 15.000 2.473307 1.036298 1.036298 3.152358 3.184531 2.323151 0.906898 1.000000
65536 16.000 2.293228 1.015468 1.015468 2.806544 3.679221 2.094568 0.904440 1.000000
131072 17.000 2.268265 1.034719 1.034719 2.880304 3.169409 2.146540 0.903051 1.000000
262144 18.000 2.266676 0.996300 0.996300 2.732246 3.836737 2.026032 0.909112 1.000000
524288 19.000 2.219755 0.954813 0.954813 2.737229 3.700849 2.028161 0.926931 1.000000
1048576 20.000 1.779555 0.802430 0.802430 2.157892 4.667008 1.825553 0.912868 1.000000
2097152 21.000 1.533815 0.992105 0.992105 1.562699 3.666602 1.527416 0.906104 1.000000