To: benchfft@theory.lcs.mit.edu
Subject: SUBMIT
-------------------
@@SUBMIT@@
@ submitter = Jose Miguel Garrido
@ submitter email = angmar@dali.eis.uva.es
@ submitter organization = Universidad de Valladolid
@ computer manufacturer =
@ computer model =
@ CPU manufacturer = Intel
@ CPU model = Pentium II
@ CPU speed = 233 MHz
@ RAM = 128 MB
@ L2 cache size =
@ operating system = Red Hat Linux 4.2
@ C compiler =
@ C compiler flags = -pedantic -ansi -O6 -fomit-frame-pointer -Wall
@ Fortran compiler =
@ Fortran compiler flags = -O6 -fomit-frame-pointer
@ remarks =
@ FFTW version = FFTW V1.2
@ floating-point precision = double
@ floating-point size = 8 bytes
------------------------------------------------------
@@@@ bench.1d.p2.log
Benchmarking for sizes: 2 (0.000228882 MB) 4 (0.000534058 MB) 8 (0.000839233
MB) 16 (0.00164795 MB) 32 (0.00297546 MB) 64 (0.00616455 MB) 128 (0.0119019
MB) 256 (0.0238037 MB) 512 (0.0476074 MB) 1024 (0.0939941 MB) 2048 (0.189575
MB) 4096 (0.3
7915 MB) 8192 (0.765991 MB) 16384 (1.51184 MB) 32768 (3.02368 MB) 65536
(6.09973 MB) 131072 (12.1995 MB) 262144 (25.4987 MB) 524288 (50.9973 MB)
1048576 (96 MB)
Maximum array size = 1048576
Benchmarking FFTs:
0. Arndt DIF
1. Arndt DIT
2. Arndt Split-Radix
3. Arndt 4-step
4. Bailey
5. Beauregard
6. Bergland
7. Brenner
8. Burrus
9. CWP (min N)
10. CWP (best N)
11. Edelblute
12. FFTPACK
13. FFTPACK (f2c)
14. FFTW
15. FFTW_ESTIMATE
16. Frigo-old
17. Green
18. GSL
19. GSL DIT
20. GSL DIF
21. Krukar
22. Mayer (Buneman)
23. Mayer (simple)
24. Mayer (lookup)
25. Monro
26. NAPACK (f2c)
27. Nielsen
28. NR (C)
29. NR (F)
30. Ooura (C)
31. Ooura (F)
32. QFT
33. Ransom
34. SCIPORT
35. Singleton
36. Singleton (f2c)
37. Sorensen
38. Sorensen DIT
39. Temperton
40. Temperton (f2c)
41. Valkenburg

Computing normalized averages (42 transforms).
Benchmarking for array size = 2 (power of 2):
0. Arndt DIF: elapsed time t=1.66 s, 4194304 iters, t-(init.)=1.26 s
t(norm)=0.150204, mflops=33.2881 (err=5.6e-17)
1. Arndt DIT: elapsed time t=1.62 s, 4194304 iters, t-(init.)=1.21 s
t(norm)=0.144243, mflops=34.6637 (err=5.6e-17)
2. Arndt Split-Radix: elapsed time t=1.16 s, 2097152 iters, t-(init.)=0.96 s
t(norm)=0.228882, mflops=21.8453 (err=5.6e-17)
3. Arndt 4-step: elapsed time t=1.78 s, 262144 iters, t-(init.)=1.75 s
t(norm)=3.33786, mflops=1.49797 (err=5.6e-17)
4. Bailey: elapsed time t=1.75 s, 1048576 iters, t-(init.)=1.66 s
t(norm)=0.79155, mflops=6.31672 (err=5.6e-17)
5. Beauregard: elapsed time t=1.13 s, 524288 iters, t-(init.)=1.08 s
t(norm)=1.02997, mflops=4.85452 (err=8.4e-17)
6. Bergland: elapsed time t=1.93 s, 1048576 iters, t-(init.)=1.83 s
t(norm)=0.872612, mflops=5.72992 (err=8.4e-17)
7. Brenner: elapsed time t=1.76 s, 1048576 iters, t-(init.)=1.66 s
t(norm)=0.79155, mflops=6.31672 (err=8.4e-17)
8. Burrus: elapsed time t=1.22 s, 2097152 iters, t-(init.)=1.03 s
t(norm)=0.245571, mflops=20.3607 (err=5.6e-17)
9. CWP (min N): elapsed time t=1.24 s, 524288 iters, t-(init.)=1.19 s
t(norm)=1.13487, mflops=4.40578
10. CWP (best N) (N=3): elapsed time t=1.39 s, 524288 iters, t-(init.)=1.33
s
t(norm)=1.26839, mflops=3.94202
11. Skipping fft (Edelblute can't handle N <= 2).
12. FFTPACK: elapsed time t=1.94 s, 2097152 iters, t-(init.)=1.75 s
t(norm)=0.417233, mflops=11.9837 (err=8.4e-17)
13. FFTPACK (f2c): elapsed time t=1.14 s, 1048576 iters, t-(init.)=1.04 s
t(norm)=0.495911, mflops=10.0825 (err=8.4e-17)
FFTW_MEASURE plan: (cost = 3.623962e-07)
FFTW_NOTW 2
14. FFTW: elapsed time t=1.41 s, 4194304 iters, t-(init.)=1.02 s
t(norm)=0.121593, mflops=41.1206 (err=8.4e-17)
FFTW_ESTIMATE plan: (cost = 1.820000e+02)
FFTW_NOTW 2
15. FFTW_ESTIMATE: elapsed time t=1.39 s, 4194304 iters, t-(init.)=0.97 s
t(norm)=0.115633, mflops=43.2402 (err=8.4e-17)
16. Frigo-old: elapsed time t=1.13 s, 4194304 iters, t-(init.)=0.75 s
t(norm)=0.089407, mflops=55.9241 (err=8.4e-17)
17. Skipping fft (Green can't handle this size.).
18. GSL: elapsed time t=1.97 s, 1048576 iters, t-(init.)=1.87 s
t(norm)=0.891685, mflops=5.60736 (err=8.4e-17)
19. GSL DIT: elapsed time t=1.89 s, 1048576 iters, t-(init.)=1.79 s
t(norm)=0.853539, mflops=5.85797 (err=8.4e-17)
20. GSL DIF: elapsed time t=1.03 s, 524288 iters, t-(init.)=0.98 s
t(norm)=0.934601, mflops=5.34988 (err=8.4e-17)
21. Krukar: elapsed time t=1.95 s, 4194304 iters, t-(init.)=1.55 s
t(norm)=0.184774, mflops=27.06 (err=8.4e-17)
22. Skipping fft (Mayer can't handle N <= 2).
23. Skipping fft (Mayer can't handle N <= 2).
24. Skipping fft (Mayer can't handle N <= 2).
25. Skipping fft (Monro can't handle N <= 2).
26. NAPACK (f2c): elapsed time t=1.74 s, 524288 iters, t-(init.)=1.69 s
t(norm)=1.61171, mflops=3.1023 (err=8.3e-17)
27. Nielsen: elapsed time t=1.36 s, 262144 iters, t-(init.)=1.34 s
t(norm)=2.55585, mflops=1.9563 (err=5.6e-17)
28. NR (C): elapsed time t=1.75 s, 1048576 iters, t-(init.)=1.65 s
t(norm)=0.786781, mflops=6.35501 (err=8.4e-17)
29. NR (F): elapsed time t=1.97 s, 1048576 iters, t-(init.)=1.87 s
t(norm)=0.891685, mflops=5.60736 (err=8.4e-17)
30. Ooura (C): elapsed time t=1.44 s, 4194304 iters, t-(init.)=1.06 s
t(norm)=0.126362, mflops=39.5689 (err=8.4e-17)
31. Ooura (F): elapsed time t=1.58 s, 4194304 iters, t-(init.)=1.18 s
t(norm)=0.140667, mflops=35.5449 (err=8.4e-17)
32. Skipping fft (QFT requires N >= 16).
33. Skipping fft (Ransom doesn't work for N=2).
34. Skipping fft (SCIPORT can't handle N < 4).
35. Singleton: elapsed time t=1.04 s, 524288 iters, t-(init.)=0.99 s
t(norm)=0.944138, mflops=5.29584 (err=8.4e-17)
36. Singleton (f2c): elapsed time t=1.07 s, 524288 iters, t-(init.)=1.02 s
t(norm)=0.972748, mflops=5.14008 (err=8.4e-17)
37. Sorensen: elapsed time t=1.36 s, 2097152 iters, t-(init.)=1.16 s
t(norm)=0.276566, mflops=18.0789 (err=5.6e-17)
38. Sorensen DIT: elapsed time t=1.33 s, 2097152 iters, t-(init.)=1.13 s
t(norm)=0.269413, mflops=18.5589 (err=5.6e-17)
39. Temperton: elapsed time t=1.45 s, 524288 iters, t-(init.)=1.4 s
t(norm)=1.33514, mflops=3.74491 (err=8.4e-17)
40. Temperton (f2c): elapsed time t=1.46 s, 524288 iters, t-(init.)=1.41 s
t(norm)=1.34468, mflops=3.71835 (err=8.4e-17)
41. Valkenburg: elapsed time t=1.01 s, 524288 iters, t-(init.)=0.96 s
t(norm)=0.915527, mflops=5.46133 (err=8.3e-17)
Top mflops for N=2 = 55.9241
Normalized results and averages for N=2:
fft 0: mflops = 33.2881 (norm. = 0.595238), norm. avg. (of 1) = 0.595238
fft 1: mflops = 34.6637 (norm. = 0.619835), norm. avg. (of 1) = 0.619835
fft 2: mflops = 21.8453 (norm. = 0.390625), norm. avg. (of 1) = 0.390625
fft 3: mflops = 1.49797 (norm. = 0.0267857), norm. avg. (of 1) = 0.0267857
fft 4: mflops = 6.31672 (norm. = 0.112952), norm. avg. (of 1) = 0.112952
fft 5: mflops = 4.85452 (norm. = 0.0868056), norm. avg. (of 1) = 0.0868056
fft 6: mflops = 5.72992 (norm. = 0.102459), norm. avg. (of 1) = 0.102459
fft 7: mflops = 6.31672 (norm. = 0.112952), norm. avg. (of 1) = 0.112952
fft 8: mflops = 20.3607 (norm. = 0.364078), norm. avg. (of 1) = 0.364078
fft 9: mflops = 4.40578 (norm. = 0.0787815), norm. avg. (of 1) = 0.0787815
fft 10: mflops = 3.94202 (norm. = 0.0704887), norm. avg. (of 1) = 0.0704887
fft 11: mflops = -1 (norm. = -0.0178814), norm. avg. (of 0) = -1
fft 12: mflops = 11.9837 (norm. = 0.214286), norm. avg. (of 1) = 0.214286
fft 13: mflops = 10.0825 (norm. = 0.180288), norm. avg. (of 1) = 0.180288
fft 14: mflops = 41.1206 (norm. = 0.735294), norm. avg. (of 1) = 0.735294
fft 15: mflops = 43.2402 (norm. = 0.773196), norm. avg. (of 1) = 0.773196
fft 16: mflops = 55.9241 (norm. = 1), norm. avg. (of 1) = 1
fft 17: mflops = -1 (norm. = -0.0178814), norm. avg. (of 0) = -1
fft 18: mflops = 5.60736 (norm. = 0.100267), norm. avg. (of 1) = 0.100267
fft 19: mflops = 5.85797 (norm. = 0.104749), norm. avg. (of 1) = 0.104749
fft 20: mflops = 5.34988 (norm. = 0.0956633), norm. avg. (of 1) = 0.0956633
fft 21: mflops = 27.06 (norm. = 0.483871), norm. avg. (of 1) = 0.483871
fft 22: mflops = -1 (norm. = -0.0178814), norm. avg. (of 0) = -1
fft 23: mflops = -1 (norm. = -0.0178814), norm. avg. (of 0) = -1
fft 24: mflops = -1 (norm. = -0.0178814), norm. avg. (of 0) = -1
fft 25: mflops = -1 (norm. = -0.0178814), norm. avg. (of 0) = -1
fft 26: mflops = 3.1023 (norm. = 0.0554734), norm. avg. (of 1) = 0.0554734
fft 27: mflops = 1.9563 (norm. = 0.0349813), norm. avg. (of 1) = 0.0349813
fft 28: mflops = 6.35501 (norm. = 0.113636), norm. avg. (of 1) = 0.113636
fft 29: mflops = 5.60736 (norm. = 0.100267), norm. avg. (of 1) = 0.100267
fft 30: mflops = 39.5689 (norm. = 0.707547), norm. avg. (of 1) = 0.707547
fft 31: mflops = 35.5449 (norm. = 0.635593), norm. avg. (of 1) = 0.635593
fft 32: mflops = -1 (norm. = -0.0178814), norm. avg. (of 0) = -1
fft 33: mflops = -1 (norm. = -0.0178814), norm. avg. (of 0) = -1
fft 34: mflops = -1 (norm. = -0.0178814), norm. avg. (of 0) = -1
fft 35: mflops = 5.29584 (norm. = 0.094697), norm. avg. (of 1) = 0.094697
fft 36: mflops = 5.14008 (norm. = 0.0919118), norm. avg. (of 1) = 0.0919118
fft 37: mflops = 18.0789 (norm. = 0.323276), norm. avg. (of 1) = 0.323276
fft 38: mflops = 18.5589 (norm. = 0.331858), norm. avg. (of 1) = 0.331858
fft 39: mflops = 3.74491 (norm. = 0.0669643), norm. avg. (of 1) = 0.0669643
fft 40: mflops = 3.71835 (norm. = 0.0664894), norm. avg. (of 1) = 0.0664894
fft 41: mflops = 5.46133 (norm. = 0.0976563), norm. avg. (of 1) = 0.0976563
Benchmarking for array size = 4 (power of 2):
0. Arndt DIF: elapsed time t=1.59 s, 2097152 iters, t-(init.)=1.29 s
t(norm)=0.07689, mflops=65.028 (err=9.6e-17)
1. Arndt DIT: elapsed time t=1.72 s, 2097152 iters, t-(init.)=1.42 s
t(norm)=0.0846386, mflops=59.0747 (err=9.6e-17)
2. Arndt Split-Radix: elapsed time t=1.8 s, 1048576 iters, t-(init.)=1.65 s
t(norm)=0.196695, mflops=25.42 (err=1.5e-16)
3. Arndt 4-step: elapsed time t=1.83 s, 262144 iters, t-(init.)=1.79 s
t(norm)=0.853539, mflops=5.85797 (err=1.5e-16)
4. Bailey: elapsed time t=1.91 s, 524288 iters, t-(init.)=1.83 s
t(norm)=0.436306, mflops=11.4598 (err=1.5e-16)
5. Beauregard: elapsed time t=1.01 s, 131072 iters, t-(init.)=0.99 s
t(norm)=0.944138, mflops=5.29584 (err=1.4e-16)
6. Bergland: elapsed time t=1.18 s, 524288 iters, t-(init.)=1.1 s
t(norm)=0.26226, mflops=19.065 (err=7.6e-17)
7. Brenner: elapsed time t=1.68 s, 524288 iters, t-(init.)=1.6 s
t(norm)=0.38147, mflops=13.1072 (err=1.4e-16)
8. Burrus: elapsed time t=1.31 s, 524288 iters, t-(init.)=1.24 s
t(norm)=0.295639, mflops=16.9125 (err=1.5e-16)
9. CWP (min N): elapsed time t=1.4 s, 524288 iters, t-(init.)=1.32 s
t(norm)=0.314713, mflops=15.8875
10. CWP (best N) (N=15): elapsed time t=1.68 s, 262144 iters, t-(init.)=1.56
s
t(norm)=0.743866, mflops=6.72164
11. Edelblute: elapsed time t=1.06 s, 524288 iters, t-(init.)=0.98 s
t(norm)=0.23365, mflops=21.3995 (err=1.5e-16)
12. FFTPACK: elapsed time t=1.56 s, 1048576 iters, t-(init.)=1.41 s
t(norm)=0.168085, mflops=29.7468 (err=1.2e-16)
13. FFTPACK (f2c): elapsed time t=1.7 s, 1048576 iters, t-(init.)=1.55 s
t(norm)=0.184774, mflops=27.06 (err=1.2e-16)
FFTW_MEASURE plan: (cost = 4.959106e-07)
FFTW_NOTW 4
14. FFTW: elapsed time t=1.08 s, 2097152 iters, t-(init.)=0.77 s
t(norm)=0.0458956, mflops=108.943 (err=1.4e-16)
FFTW_ESTIMATE plan: (cost = 3.176000e+02)
FFTW_NOTW 4
15. FFTW_ESTIMATE: elapsed time t=1.09 s, 2097152 iters, t-(init.)=0.79 s
t(norm)=0.0470877, mflops=106.185 (err=1.4e-16)
16. Frigo-old: elapsed time t=1.07 s, 2097152 iters, t-(init.)=0.76 s
t(norm)=0.0452995, mflops=110.376 (err=1.4e-16)
17. Skipping fft (Green can't handle this size.).
18. GSL: elapsed time t=1.53 s, 524288 iters, t-(init.)=1.46 s
t(norm)=0.348091, mflops=14.3641 (err=1.4e-16)
19. GSL DIT: elapsed time t=1.97 s, 524288 iters, t-(init.)=1.9 s
t(norm)=0.452995, mflops=11.0376 (err=1.4e-16)
20. GSL DIF: elapsed time t=1.02 s, 262144 iters, t-(init.)=0.98 s
t(norm)=0.4673, mflops=10.6998 (err=1.8e-16)
21. Krukar: elapsed time t=1.34 s, 2097152 iters, t-(init.)=1.03 s
t(norm)=0.0613928, mflops=81.4428 (err=1.4e-16)
22. Mayer (Buneman): elapsed time t=1.34 s, 1048576 iters, t-(init.)=1.18 s
t(norm)=0.140667, mflops=35.5449 (err=8.1e-17)
23. Mayer (simple): elapsed time t=1.36 s, 1048576 iters, t-(init.)=1.2 s
t(norm)=0.143051, mflops=34.9525
24. Mayer (lookup): elapsed time t=1.34 s, 1048576 iters, t-(init.)=1.19 s
t(norm)=0.141859, mflops=35.2463 (err=8.1e-17)
25. Monro: elapsed time t=1.97 s, 262144 iters, t-(init.)=1.93 s
t(norm)=0.920296, mflops=5.43304 (err=8.1e-17)
26. NAPACK (f2c): elapsed time t=1.86 s, 262144 iters, t-(init.)=1.82 s
t(norm)=0.867844, mflops=5.76141 (err=1.8e-16)
27. Nielsen: elapsed time t=1.48 s, 262144 iters, t-(init.)=1.45 s
t(norm)=0.691414, mflops=7.23156 (err=1.5e-16)
28. NR (C): elapsed time t=1.9 s, 524288 iters, t-(init.)=1.83 s
t(norm)=0.436306, mflops=11.4598 (err=1.4e-16)
29. NR (F): elapsed time t=1.12 s, 262144 iters, t-(init.)=1.08 s
t(norm)=0.514984, mflops=9.70904 (err=1.4e-16)
30. Ooura (C): elapsed time t=1.8 s, 2097152 iters, t-(init.)=1.49 s
t(norm)=0.0888109, mflops=56.2994 (err=9.8e-17)
31. Ooura (F): elapsed time t=1.01 s, 1048576 iters, t-(init.)=0.86 s
t(norm)=0.10252, mflops=48.771 (err=9.8e-17)
32. Skipping fft (QFT requires N >= 16).
33. Ransom: elapsed time t=1.13 s, 131072 iters, t-(init.)=1.11 s
t(norm)=1.05858, mflops=4.72332 (err=2.1e-16)
34. SCIPORT: elapsed time t=1.3 s, 524288 iters, t-(init.)=1.23 s
t(norm)=0.293255, mflops=17.05 (err=8.0e-09)
35. Singleton: elapsed time t=1.8 s, 524288 iters, t-(init.)=1.72 s
t(norm)=0.41008, mflops=12.1927 (err=1.5e-16)
36. Singleton (f2c): elapsed time t=1.45 s, 524288 iters, t-(init.)=1.38 s
t(norm)=0.329018, mflops=15.1968 (err=1.1e-16)
37. Sorensen: elapsed time t=1.8 s, 1048576 iters, t-(init.)=1.64 s
t(norm)=0.195503, mflops=25.575 (err=1.5e-16)
38. Sorensen DIT: elapsed time t=1.31 s, 524288 iters, t-(init.)=1.23 s
t(norm)=0.293255, mflops=17.05 (err=8.1e-17)
39. Temperton: elapsed time t=1.62 s, 524288 iters, t-(init.)=1.54 s
t(norm)=0.367165, mflops=13.6179 (err=1.7e-16)
40. Temperton (f2c): elapsed time t=1.76 s, 524288 iters, t-(init.)=1.68 s
t(norm)=0.400543, mflops=12.483 (err=1.7e-16)
41. Valkenburg: elapsed time t=1.93 s, 262144 iters, t-(init.)=1.89 s
t(norm)=0.901222, mflops=5.54802 (err=1.8e-16)
Top mflops for N=4 = 110.376
Normalized results and averages for N=4:
fft 0: mflops = 65.028 (norm. = 0.589147), norm. avg. (of 2) = 0.592193
fft 1: mflops = 59.0747 (norm. = 0.535211), norm. avg. (of 2) = 0.577523
fft 2: mflops = 25.42 (norm. = 0.230303), norm. avg. (of 2) = 0.310464
fft 3: mflops = 5.85797 (norm. = 0.0530726), norm. avg. (of 2) = 0.0399292
fft 4: mflops = 11.4598 (norm. = 0.103825), norm. avg. (of 2) = 0.108388
fft 5: mflops = 5.29584 (norm. = 0.0479798), norm. avg. (of 2) = 0.0673927
fft 6: mflops = 19.065 (norm. = 0.172727), norm. avg. (of 2) = 0.137593
fft 7: mflops = 13.1072 (norm. = 0.11875), norm. avg. (of 2) = 0.115851
fft 8: mflops = 16.9125 (norm. = 0.153226), norm. avg. (of 2) = 0.258652
fft 9: mflops = 15.8875 (norm. = 0.143939), norm. avg. (of 2) = 0.11136
fft 10: mflops = 6.72164 (norm. = 0.0608974), norm. avg. (of 2) = 0.0656931
fft 11: mflops = 21.3995 (norm. = 0.193878), norm. avg. (of 1) = 0.193878
fft 12: mflops = 29.7468 (norm. = 0.269504), norm. avg. (of 2) = 0.241895
fft 13: mflops = 27.06 (norm. = 0.245161), norm. avg. (of 2) = 0.212725
fft 14: mflops = 108.943 (norm. = 0.987013), norm. avg. (of 2) = 0.861154
fft 15: mflops = 106.185 (norm. = 0.962025), norm. avg. (of 2) = 0.867611
fft 16: mflops = 110.376 (norm. = 1), norm. avg. (of 2) = 1
fft 17: mflops = -1 (norm. = -0.00905991), norm. avg. (of 0) = -1
fft 18: mflops = 14.3641 (norm. = 0.130137), norm. avg. (of 2) = 0.115202
fft 19: mflops = 11.0376 (norm. = 0.1), norm. avg. (of 2) = 0.102374
fft 20: mflops = 10.6998 (norm. = 0.0969388), norm. avg. (of 2) = 0.096301
fft 21: mflops = 81.4428 (norm. = 0.737864), norm. avg. (of 2) = 0.610868
fft 22: mflops = 35.5449 (norm. = 0.322034), norm. avg. (of 1) = 0.322034
fft 23: mflops = 34.9525 (norm. = 0.316667), norm. avg. (of 1) = 0.316667
fft 24: mflops = 35.2463 (norm. = 0.319328), norm. avg. (of 1) = 0.319328
fft 25: mflops = 5.43304 (norm. = 0.0492228), norm. avg. (of 1) = 0.0492228
fft 26: mflops = 5.76141 (norm. = 0.0521978), norm. avg. (of 2) = 0.0538356
fft 27: mflops = 7.23156 (norm. = 0.0655172), norm. avg. (of 2) = 0.0502493
fft 28: mflops = 11.4598 (norm. = 0.103825), norm. avg. (of 2) = 0.108731
fft 29: mflops = 9.70904 (norm. = 0.087963), norm. avg. (of 2) = 0.0941152
fft 30: mflops = 56.2994 (norm. = 0.510067), norm. avg. (of 2) = 0.608807
fft 31: mflops = 48.771 (norm. = 0.44186), norm. avg. (of 2) = 0.538727
fft 32: mflops = -1 (norm. = -0.00905991), norm. avg. (of 0) = -1
fft 33: mflops = 4.72332 (norm. = 0.0427928), norm. avg. (of 1) = 0.0427928
fft 34: mflops = 17.05 (norm. = 0.154472), norm. avg. (of 1) = 0.154472
fft 35: mflops = 12.1927 (norm. = 0.110465), norm. avg. (of 2) = 0.102581
fft 36: mflops = 15.1968 (norm. = 0.137681), norm. avg. (of 2) = 0.114796
fft 37: mflops = 25.575 (norm. = 0.231707), norm. avg. (of 2) = 0.277492
fft 38: mflops = 17.05 (norm. = 0.154472), norm. avg. (of 2) = 0.243165
fft 39: mflops = 13.6179 (norm. = 0.123377), norm. avg. (of 2) = 0.0951705
fft 40: mflops = 12.483 (norm. = 0.113095), norm. avg. (of 2) = 0.0897923
fft 41: mflops = 5.54802 (norm. = 0.0502646), norm. avg. (of 2) = 0.0739604
Benchmarking for array size = 8 (power of 2):
0. Arndt DIF: elapsed time t=1.35 s, 524288 iters, t-(init.)=1.2 s
t(norm)=0.0953674, mflops=52.4288 (err=1.6e-16)
1. Arndt DIT: elapsed time t=1.43 s, 524288 iters, t-(init.)=1.29 s
t(norm)=0.10252, mflops=48.771 (err=1.6e-16)
2. Arndt Split-Radix: elapsed time t=1.24 s, 262144 iters, t-(init.)=1.16 s
t(norm)=0.184377, mflops=27.1183 (err=2.0e-16)
3. Arndt 4-step: elapsed time t=1.13 s, 65536 iters, t-(init.)=1.11 s
t(norm)=0.705719, mflops=7.08497 (err=2.1e-16)
4. Bailey: elapsed time t=1.67 s, 262144 iters, t-(init.)=1.6 s
t(norm)=0.254313, mflops=19.6608 (err=1.6e-16)
5. Beauregard: elapsed time t=1.06 s, 65536 iters, t-(init.)=1.04 s
t(norm)=0.661214, mflops=7.56185 (err=1.3e-16)
6. Bergland: elapsed time t=1.66 s, 262144 iters, t-(init.)=1.59 s
t(norm)=0.252724, mflops=19.7845 (err=2.0e-16)
7. Brenner: elapsed time t=1.02 s, 131072 iters, t-(init.)=0.99 s
t(norm)=0.314713, mflops=15.8875 (err=1.3e-16)
8. Burrus: elapsed time t=1.01 s, 131072 iters, t-(init.)=0.98 s
t(norm)=0.311534, mflops=16.0496 (err=1.9e-16)
9. CWP (min N): elapsed time t=1.79 s, 524288 iters, t-(init.)=1.64 s
t(norm)=0.130335, mflops=38.3625
10. CWP (best N) (N=15): elapsed time t=1.68 s, 262144 iters, t-(init.)=1.57
s
t(norm)=0.249545, mflops=20.0365
11. Edelblute: elapsed time t=1.72 s, 262144 iters, t-(init.)=1.65 s
t(norm)=0.26226, mflops=19.065 (err=1.9e-16)
12. FFTPACK: elapsed time t=1.44 s, 524288 iters, t-(init.)=1.3 s
t(norm)=0.103315, mflops=48.3958 (err=1.8e-16)
13. FFTPACK (f2c): elapsed time t=1.62 s, 524288 iters, t-(init.)=1.47 s
t(norm)=0.116825, mflops=42.799 (err=1.8e-16)
FFTW_MEASURE plan: (cost = 9.918213e-07)
FFTW_NOTW 8
14. FFTW: elapsed time t=1.16 s, 1048576 iters, t-(init.)=0.86 s
t(norm)=0.0341733, mflops=146.313 (err=1.0e-16)
FFTW_ESTIMATE plan: (cost = 4.688000e+02)
FFTW_NOTW 8
15. FFTW_ESTIMATE: elapsed time t=1.16 s, 1048576 iters, t-(init.)=0.87 s
t(norm)=0.0345707, mflops=144.631 (err=1.0e-16)
16. Frigo-old: elapsed time t=1.81 s, 2097152 iters, t-(init.)=1.19 s
t(norm)=0.0236432, mflops=211.478 (err=1.0e-16)
17. Green: elapsed time t=1.17 s, 524288 iters, t-(init.)=1.02 s
t(norm)=0.0810623, mflops=61.6809 (err=1.2e-16)
18. GSL: elapsed time t=1.34 s, 262144 iters, t-(init.)=1.27 s
t(norm)=0.201861, mflops=24.7695 (err=1.2e-16)
19. GSL DIT: elapsed time t=1.78 s, 262144 iters, t-(init.)=1.71 s
t(norm)=0.271797, mflops=18.3961 (err=1.2e-16)
20. GSL DIF: elapsed time t=1.9 s, 262144 iters, t-(init.)=1.83 s
t(norm)=0.290871, mflops=17.1898 (err=1.6e-16)
21. Krukar: elapsed time t=1.31 s, 1048576 iters, t-(init.)=1.02 s
t(norm)=0.0405312, mflops=123.362 (err=1.2e-16)
22. Mayer (Buneman): elapsed time t=1.56 s, 524288 iters, t-(init.)=1.41 s
t(norm)=0.112057, mflops=44.6203 (err=1.5e-16)
23. Mayer (simple): elapsed time t=1.55 s, 524288 iters, t-(init.)=1.4 s
t(norm)=0.111262, mflops=44.939
24. Mayer (lookup): elapsed time t=1.58 s, 524288 iters, t-(init.)=1.44 s
t(norm)=0.114441, mflops=43.6907 (err=1.5e-16)
25. Monro: elapsed time t=1.34 s, 131072 iters, t-(init.)=1.31 s
t(norm)=0.416438, mflops=12.0066 (err=1.3e-08)
26. NAPACK (f2c): elapsed time t=1.78 s, 131072 iters, t-(init.)=1.74 s
t(norm)=0.553131, mflops=9.03945 (err=2.8e-16)
27. Nielsen: elapsed time t=1.19 s, 131072 iters, t-(init.)=1.15 s
t(norm)=0.365575, mflops=13.6771 (err=1.3e-15)
28. NR (C): elapsed time t=1.8 s, 262144 iters, t-(init.)=1.72 s
t(norm)=0.273387, mflops=18.2891 (err=1.2e-16)
29. NR (F): elapsed time t=1.09 s, 131072 iters, t-(init.)=1.05 s
t(norm)=0.333786, mflops=14.9797 (err=1.5e-16)
30. Ooura (C): elapsed time t=1.59 s, 1048576 iters, t-(init.)=1.28 s
t(norm)=0.0508626, mflops=98.304 (err=1.6e-16)
31. Ooura (F): elapsed time t=1.02 s, 524288 iters, t-(init.)=0.87 s
t(norm)=0.0691414, mflops=72.3156 (err=1.6e-16)
32. Skipping fft (QFT requires N >= 16).
33. Ransom: elapsed time t=1.37 s, 65536 iters, t-(init.)=1.35 s
t(norm)=0.858307, mflops=5.82542 (err=7.5e-16)
34. SCIPORT: elapsed time t=1.01 s, 131072 iters, t-(init.)=0.97 s
t(norm)=0.308355, mflops=16.2151 (err=4.5e-08)
35. Singleton: elapsed time t=1.04 s, 131072 iters, t-(init.)=1 s
t(norm)=0.317891, mflops=15.7286 (err=1.2e-16)
36. Singleton (f2c): elapsed time t=1.84 s, 262144 iters, t-(init.)=1.76 s
t(norm)=0.279744, mflops=17.8735 (err=1.2e-16)
37. Sorensen: elapsed time t=1.85 s, 524288 iters, t-(init.)=1.7 s
t(norm)=0.135104, mflops=37.0086 (err=2.4e-16)
38. Sorensen DIT: elapsed time t=1.05 s, 131072 iters, t-(init.)=1.02 s
t(norm)=0.324249, mflops=15.4202 (err=1.8e-16)
39. Temperton: elapsed time t=1.47 s, 262144 iters, t-(init.)=1.4 s
t(norm)=0.222524, mflops=22.4695 (err=7.5e-09)
40. Temperton (f2c): elapsed time t=1.65 s, 262144 iters, t-(init.)=1.57 s
t(norm)=0.249545, mflops=20.0365 (err=1.4e-16)
41. Valkenburg: elapsed time t=1.41 s, 65536 iters, t-(init.)=1.39 s
t(norm)=0.883738, mflops=5.65778 (err=1.3e-16)
Top mflops for N=8 = 211.478
Normalized results and averages for N=8:
fft 0: mflops = 52.4288 (norm. = 0.247917), norm. avg. (of 3) = 0.477434
fft 1: mflops = 48.771 (norm. = 0.23062), norm. avg. (of 3) = 0.461889
fft 2: mflops = 27.1183 (norm. = 0.128233), norm. avg. (of 3) = 0.24972
fft 3: mflops = 7.08497 (norm. = 0.0335023), norm. avg. (of 3) = 0.0377869
fft 4: mflops = 19.6608 (norm. = 0.0929688), norm. avg. (of 3) = 0.103249
fft 5: mflops = 7.56185 (norm. = 0.0357572), norm. avg. (of 3) = 0.0568475
fft 6: mflops = 19.7845 (norm. = 0.0935535), norm. avg. (of 3) = 0.122913
fft 7: mflops = 15.8875 (norm. = 0.0751263), norm. avg. (of 3) = 0.102276
fft 8: mflops = 16.0496 (norm. = 0.0758929), norm. avg. (of 3) = 0.197732
fft 9: mflops = 38.3625 (norm. = 0.181402), norm. avg. (of 3) = 0.134708
fft 10: mflops = 20.0365 (norm. = 0.0947452), norm. avg. (of 3) = 0.0753771
fft 11: mflops = 19.065 (norm. = 0.0901515), norm. avg. (of 2) = 0.142015
fft 12: mflops = 48.3958 (norm. = 0.228846), norm. avg. (of 3) = 0.237545
fft 13: mflops = 42.799 (norm. = 0.202381), norm. avg. (of 3) = 0.209277
fft 14: mflops = 146.313 (norm. = 0.69186), norm. avg. (of 3) = 0.804723
fft 15: mflops = 144.631 (norm. = 0.683908), norm. avg. (of 3) = 0.806376
fft 16: mflops = 211.478 (norm. = 1), norm. avg. (of 3) = 1
fft 17: mflops = 61.6809 (norm. = 0.291667), norm. avg. (of 1) = 0.291667
fft 18: mflops = 24.7695 (norm. = 0.117126), norm. avg. (of 3) = 0.115843
fft 19: mflops = 18.3961 (norm. = 0.0869883), norm. avg. (of 3) = 0.0972456
fft 20: mflops = 17.1898 (norm. = 0.0812842), norm. avg. (of 3) = 0.0912954
fft 21: mflops = 123.362 (norm. = 0.583333), norm. avg. (of 3) = 0.601689
fft 22: mflops = 44.6203 (norm. = 0.210993), norm. avg. (of 2) = 0.266513
fft 23: mflops = 44.939 (norm. = 0.2125), norm. avg. (of 2) = 0.264583
fft 24: mflops = 43.6907 (norm. = 0.206597), norm. avg. (of 2) = 0.262962
fft 25: mflops = 12.0066 (norm. = 0.0567748), norm. avg. (of 2) = 0.0529988
fft 26: mflops = 9.03945 (norm. = 0.0427443), norm. avg. (of 3) = 0.0501385
fft 27: mflops = 13.6771 (norm. = 0.0646739), norm. avg. (of 3) = 0.0550575
fft 28: mflops = 18.2891 (norm. = 0.0864826), norm. avg. (of 3) = 0.101315
fft 29: mflops = 14.9797 (norm. = 0.0708333), norm. avg. (of 3) = 0.0863546
fft 30: mflops = 98.304 (norm. = 0.464844), norm. avg. (of 3) = 0.560819
fft 31: mflops = 72.3156 (norm. = 0.341954), norm. avg. (of 3) = 0.473136
fft 32: mflops = -1 (norm. = -0.00472864), norm. avg. (of 0) = -1
fft 33: mflops = 5.82542 (norm. = 0.0275463), norm. avg. (of 2) = 0.0351695
fft 34: mflops = 16.2151 (norm. = 0.0766753), norm. avg. (of 2) = 0.115573
fft 35: mflops = 15.7286 (norm. = 0.074375), norm. avg. (of 3) = 0.093179
fft 36: mflops = 17.8735 (norm. = 0.084517), norm. avg. (of 3) = 0.104703
fft 37: mflops = 37.0086 (norm. = 0.175), norm. avg. (of 3) = 0.243328
fft 38: mflops = 15.4202 (norm. = 0.0729167), norm. avg. (of 3) = 0.186416
fft 39: mflops = 22.4695 (norm. = 0.10625), norm. avg. (of 3) = 0.0988636
fft 40: mflops = 20.0365 (norm. = 0.0947452), norm. avg. (of 3) = 0.0914433
fft 41: mflops = 5.65778 (norm. = 0.0267536), norm. avg. (of 3) = 0.0582248
Benchmarking for array size = 16 (power of 2):
0. Arndt DIF: elapsed time t=1.16 s, 131072 iters, t-(init.)=1.1 s
t(norm)=0.13113, mflops=38.13 (err=1.6e-16)
1. Arndt DIT: elapsed time t=1.14 s, 131072 iters, t-(init.)=1.08 s
t(norm)=0.128746, mflops=38.8361 (err=1.2e-16)
2. Arndt Split-Radix: elapsed time t=1.56 s, 131072 iters, t-(init.)=1.5 s
t(norm)=0.178814, mflops=27.962 (err=1.4e-16)
3. Arndt 4-step: elapsed time t=1.85 s, 65536 iters, t-(init.)=1.82 s
t(norm)=0.433922, mflops=11.5228 (err=1.3e-16)
4. Bailey: elapsed time t=1.69 s, 131072 iters, t-(init.)=1.63 s
t(norm)=0.194311, mflops=25.7319 (err=1.4e-16)
5. Beauregard: elapsed time t=1.25 s, 32768 iters, t-(init.)=1.24 s
t(norm)=0.591278, mflops=8.45626 (err=1.9e-16)
6. Bergland: elapsed time t=1.65 s, 131072 iters, t-(init.)=1.59 s
t(norm)=0.189543, mflops=26.3793 (err=2.0e-16)
7. Brenner: elapsed time t=1.06 s, 65536 iters, t-(init.)=1.03 s
t(norm)=0.245571, mflops=20.3607 (err=1.5e-16)
8. Burrus: elapsed time t=1.28 s, 65536 iters, t-(init.)=1..25 s
t(norm)=0.298023, mflops=16.7772 (err=1.3e-16)
9. CWP (min N): elapsed time t=1.31 s, 262144 iters, t-(init.)=1.19 s
t(norm)=0.0709295, mflops=70.4925
10. CWP (best N) (N=28): elapsed time t=1.28 s, 131072 iters, t-(init.)=1.18
s
t(norm)=0.140667, mflops=35.5449
11. Edelblute: elapsed time t=1.14 s, 65536 iters, t-(init.)=1.11 s
t(norm)=0.264645, mflops=18.8933 (err=1.3e-16)
12. FFTPACK: elapsed time t=1.45 s, 262144 iters, t-(init.)=1.33 s
t(norm)=0.0792742, mflops=63.0722 (err=1.5e-16)
13. FFTPACK (f2c): elapsed time t=1.32 s, 262144 iters, t-(init.)=1.2 s
t(norm)=0.0715256, mflops=69.9051 (err=1.3e-16)
FFTW_MEASURE plan: (cost = 2.899170e-06)
FFTW_NOTW 16
14. FFTW: elapsed time t=1.54 s, 524288 iters, t-(init.)=1.3 s
t(norm)=0.038743, mflops=129.056 (err=1.6e-16)
FFTW_ESTIMATE plan: (cost = 4.256000e+02)
FFTW_NOTW 16
15. FFTW_ESTIMATE: elapsed time t=1.56 s, 524288 iters, t-(init.)=1.32 s
t(norm)=0.0393391, mflops=127.1 (err=1.6e-16)
16. Frigo-old: elapsed time t=1.06 s, 524288 iters, t-(init.)=0.8 s
t(norm)=0.0238419, mflops=209.715 (err=1.6e-16)
17. Green: elapsed time t=1.36 s, 262144 iters, t-(init.)=1.24 s
t(norm)=0.0739098, mflops=67.6501 (err=1.9e-16)
18. GSL: elapsed time t=1.34 s, 131072 iters, t-(init.)=1.28 s
t(norm)=0.152588, mflops=32.768 (err=1.5e-16)
19. GSL DIT: elapsed time t=1.71 s, 131072 iters, t-(init.)=1.66 s
t(norm)=0.197887, mflops=25.2669 (err=1.6e-16)
20. GSL DIF: elapsed time t=1.76 s, 131072 iters, t-(init.)=1.71 s
t(norm)=0.203848, mflops=24.5281 (err=1.9e-16)
21. Krukar: elapsed time t=1.44 s, 524288 iters, t-(init.)=1.2 s
t(norm)=0.0357628, mflops=139.81 (err=1.7e-16)
22. Mayer (Buneman): elapsed time t=1.2 s, 131072 iters, t-(init.)=1.13 s
t(norm)=0.134706, mflops=37.1177 (err=1.3e-16)
23. Mayer (simple): elapsed time t=1.03 s, 131072 iters, t-(init.)=0.97 s
t(norm)=0.115633, mflops=43.2402
24. Mayer (lookup): elapsed time t=1.86 s, 262144 iters, t-(init.)=1.74 s
t(norm)=0.103712, mflops=48.2104 (err=1.4e-16)
25. Monro: elapsed time t=1.15 s, 65536 iters, t-(init.)=1.12 s
t(norm)=0.267029, mflops=18.7246 (err=1.2e-08)
26. NAPACK (f2c): elapsed time t=1.6 s, 65536 iters, t-(init.)=1.57 s
t(norm)=0.374317, mflops=13.3577 (err=3.5e-16)
27. Nielsen: elapsed time t=1.33 s, 65536 iters, t-(init.)=1.3 s
t(norm)=0.309944, mflops=16.1319 (err=1.3e-16)
28. NR (C): elapsed time t=1.62 s, 131072 iters, t-(init.)=1.56 s
t(norm)=0.185966, mflops=26.8866 (err=1.6e-16)
29. NR (F): elapsed time t=1.01 s, 65536 iters, t-(init.)=0.98 s
t(norm)=0.23365, mflops=21.3995 (err=1.7e-16)
30. Ooura (C): elapsed time t=1.84 s, 524288 iters, t-(init.)=1.58 s
t(norm)=0.0470877, mflops=106.185 (err=1.4e-16)
31. Ooura (F): elapsed time t=1.13 s, 262144 iters, t-(init.)=1.01 s
t(norm)=0.0602007, mflops=83.0555 (err=1.4e-16)
32. QFT: elapsed time t=1.03 s, 262144 iters, t-(init.)=0.91 s
t(norm)=0.0542402, mflops=92.1825 (err=1.3e-16)
33. Ransom: elapsed time t=1.42 s, 65536 iters, t-(init.)=1.39 s
t(norm)=0.331402, mflops=15.0874 (err=6.0e-16)
34. SCIPORT: elapsed time t=1.39 s, 65536 iters, t-(init.)=1.36 s
t(norm)=0.324249, mflops=15.4202 (err=5.2e-08)
35. Singleton: elapsed time t=1.08 s, 65536 iters, t-(init.)=1.05 s
t(norm)=0.25034, mflops=19.9729 (err=1.7e-16)
36. Singleton (f2c): elapsed time t=1.32 s, 131072 iters, t-(init.)=1.26 s
t(norm)=0.150204, mflops=33.2881 (err=1.9e-16)
37. Sorensen: elapsed time t=1.89 s, 262144 iters, t-(init.)=1.77 s
t(norm)=0.1055, mflops=47.3933 (err=1.3e-16)
38. Sorensen DIT: elapsed time t=1.34 s, 65536 iters, t-(init.)=1.31 s
t(norm)=0.312328, mflops=16.0088 (err=1.4e-16)
39. Temperton: elapsed time t=1.22 s, 131072 iters, t-(init.)=1.16 s
t(norm)=0.138283, mflops=36.1578 (err=2.9e-08)
40. Temperton (f2c): elapsed time t=1.5 s, 131072 iters, t-(init.)=1.44 s
t(norm)=0.171661, mflops=29.1271 (err=1.5e-16)
41. Valkenburg: elapsed time t=1.83 s, 32768 iters, t-(init.)=1.82 s
t(norm)=0.867844, mflops=5.76141 (err=3.0e-16)
Top mflops for N=16 = 209.715
Normalized results and averages for N=16:
fft 0: mflops = 38.13 (norm. = 0.181818), norm. avg. (of 4) = 0.40353
fft 1: mflops = 38.8361 (norm. = 0.185185), norm. avg. (of 4) = 0.392713
fft 2: mflops = 27.962 (norm. = 0.133333), norm. avg. (of 4) = 0.220624
fft 3: mflops = 11.5228 (norm. = 0.0549451), norm. avg. (of 4) = 0.0420764
fft 4: mflops = 25.7319 (norm. = 0.122699), norm. avg. (of 4) = 0.108111
fft 5: mflops = 8.45626 (norm. = 0.0403226), norm. avg. (of 4) = 0.0527163
fft 6: mflops = 26.3793 (norm. = 0.125786), norm. avg. (of 4) = 0.123631
fft 7: mflops = 20.3607 (norm. = 0.0970874), norm. avg. (of 4) = 0.100979
fft 8: mflops = 16.7772 (norm. = 0.08), norm. avg. (of 4) = 0.168299
fft 9: mflops = 70.4925 (norm. = 0.336134), norm. avg. (of 4) = 0.185064
fft 10: mflops = 35.5449 (norm. = 0.169492), norm. avg. (of 4) = 0.0989057
fft 11: mflops = 18.8933 (norm. = 0.0900901), norm. avg. (of 3) = 0.124706
fft 12: mflops = 63.0722 (norm. = 0.300752), norm. avg. (of 4) = 0.253347
fft 13: mflops = 69.9051 (norm. = 0.333333), norm. avg. (of 4) = 0.240291
fft 14: mflops = 129.056 (norm. = 0.615385), norm. avg. (of 4) = 0.757388
fft 15: mflops = 127.1 (norm. = 0.606061), norm. avg. (of 4) = 0.756297
fft 16: mflops = 209.715 (norm. = 1), norm. avg. (of 4) = 1
fft 17: mflops = 67.6501 (norm. = 0.322581), norm. avg. (of 2) = 0.307124
fft 18: mflops = 32.768 (norm. = 0.15625), norm. avg. (of 4) = 0.125945
fft 19: mflops = 25.2669 (norm. = 0.120482), norm. avg. (of 4) = 0.103055
fft 20: mflops = 24.5281 (norm. = 0.116959), norm. avg. (of 4) = 0.0977113
fft 21: mflops = 139.81 (norm. = 0.666667), norm. avg. (of 4) = 0.617934
fft 22: mflops = 37.1177 (norm. = 0.176991), norm. avg. (of 3) = 0.236673
fft 23: mflops = 43.2402 (norm. = 0.206186), norm. avg. (of 3) = 0.245117
fft 24: mflops = 48.2104 (norm. = 0.229885), norm. avg. (of 3) = 0.251937
fft 25: mflops = 18.7246 (norm. = 0.0892857), norm. avg. (of 3) = 0.0650944
fft 26: mflops = 13.3577 (norm. = 0.0636943), norm. avg. (of 4) = 0.0535274
fft 27: mflops = 16.1319 (norm. = 0.0769231), norm. avg. (of 4) = 0.0605239
fft 28: mflops = 26.8866 (norm. = 0.128205), norm. avg. (of 4) = 0.108037
fft 29: mflops = 21.3995 (norm. = 0.102041), norm. avg. (of 4) = 0.0902761
fft 30: mflops = 106.185 (norm. = 0.506329), norm. avg. (of 4) = 0.547197
fft 31: mflops = 83.0555 (norm. = 0.39604), norm. avg. (of 4) = 0.453862
fft 32: mflops = 92.1825 (norm. = 0.43956), norm. avg. (of 1) = 0.43956
fft 33: mflops = 15.0874 (norm. = 0.0719424), norm. avg. (of 3) = 0.0474272
fft 34: mflops = 15.4202 (norm. = 0.0735294), norm. avg. (of 3) = 0.101559
fft 35: mflops = 19.9729 (norm. = 0.0952381), norm. avg. (of 4) = 0.0936938
fft 36: mflops = 33.2881 (norm. = 0.15873), norm. avg. (of 4) = 0.11821
fft 37: mflops = 47.3933 (norm. = 0.225989), norm. avg. (of 4) = 0.238993
fft 38: mflops = 16.0088 (norm. = 0.0763359), norm. avg. (of 4) = 0.158896
fft 39: mflops = 36.1578 (norm. = 0.172414), norm. avg. (of 4) = 0.117251
fft 40: mflops = 29.1271 (norm. = 0.138889), norm. avg. (of 4) = 0.103305
fft 41: mflops = 5.76141 (norm. = 0.0274725), norm. avg. (of 4) = 0.0505367
Benchmarking for array size = 32 (power of 2):
0. Arndt DIF: elapsed time t=1.47 s, 65536 iters, t-(init.)=1.42 s
t(norm)=0.135422, mflops=36.9217 (err=6.0e-16)
1. Arndt DIT: elapsed time t=1.48 s, 65536 iters, t-(init.)=1.42 s
t(norm)=0.135422, mflops=36.9217 (err=5.5e-16)
2. Arndt Split-Radix: elapsed time t=1.76 s, 65536 iters, t-(init.)=1.71 s
t(norm)=0.163078, mflops=30.6601 (err=3.6e-16)
3. Arndt 4-step: elapsed time t=1.1 s, 16384 iters, t-(init.)=1.09 s
t(norm)=0.415802, mflops=12.025 (err=3.2e-16)
4. Bailey: elapsed time t=1.54 s, 65536 iters, t-(init.)=1.49 s
t(norm)=0.142097, mflops=35.1871 (err=6.7e-16)
5. Beauregard: elapsed time t=1.48 s, 16384 iters, t-(init.)=1.47 s
t(norm)=0.56076, mflops=8.91646 (err=6.6e-16)
6. Bergland: elapsed time t=1.63 s, 65536 iters, t-(init.)=1.58 s
t(norm)=0.150681, mflops=33.1828 (err=6.4e-16)
7. Brenner: elapsed time t=1.12 s, 32768 iters, t-(init.)=1.1 s
t(norm)=0.209808, mflops=23.8313 (err=6.0e-16)
8. Burrus: elapsed time t=1.47 s, 32768 iters, t-(init.)=1.44 s
t(norm)=0.274658, mflops=18.2044 (err=3.5e-16)
9. CWP (min N) (N=33): elapsed time t=1.9 s, 131072 iters, t-(init.)=1.79 s
t(norm)=0.0853539, mflops=58.5797
10. CWP (best N) (N=35): elapsed time t=1.7 s, 131072 iters, t-(init.)=1.59
s
t(norm)=0.0758171, mflops=65.9482
11. Edelblute: elapsed time t=1.29 s, 32768 iters, t-(init.)=1.26 s
t(norm)=0.240326, mflops=20.8051 (err=3.5e-16)
12. FFTPACK: elapsed time t=1.92 s, 131072 iters, t-(init.)=1.81 s
t(norm)=0.0863075, mflops=57.9324 (err=4.4e-16)
13. FFTPACK (f2c): elapsed time t=1.01 s, 65536 iters, t-(init.)=0.96 s
t(norm)=0.0915527, mflops=54.6133 (err=5.3e-16)
FFTW_MEASURE plan: (cost = 8.239746e-06)
FFTW_TWIDDLE 8
FFTW_NOTW 4
14. FFTW: elapsed time t=1.14 s, 131072 iters, t-(init.)=1.04 s
t(norm)=0.0495911, mflops=100.825 (err=6.1e-16)
FFTW_ESTIMATE plan: (cost = 3.200000e+01)
FFTW_NOTW 32
15. FFTW_ESTIMATE: elapsed time t=1.41 s, 131072 iters, t-(init.)=1.3 s
t(norm)=0.0619888, mflops=80.6597 (err=6.1e-16)
16. Frigo-old: elapsed time t=1.27 s, 262144 iters, t-(init.)=1.03 s
t(norm)=0.0245571, mflops=203.607 (err=5.5e-16)
17. Green: elapsed time t=1.5 s, 131072 iters, t-(init.)=1.39 s
t(norm)=0.0662804, mflops=75.4371 (err=6.9e-16)
18. GSL: elapsed time t=1.57 s, 65536 iters, t-(init.)=1.52 s
t(norm)=0.144958, mflops=34.4926 (err=5.0e-16)
19. GSL DIT: elapsed time t=1.56 s, 65536 iters, t-(init.)=1.51 s
t(norm)=0.144005, mflops=34.7211 (err=6.1e-16)
20. GSL DIF: elapsed time t=1.61 s, 65536 iters, t-(init.)=1.55 s
t(norm)=0.14782, mflops=33.825 (err=4.3e-16)
21. Krukar: elapsed time t=1.64 s, 262144 iters, t-(init.)=1.43 s
t(norm)=0.0340939, mflops=146.654 (err=8.6e-16)
22. Mayer (Buneman): elapsed time t=1.41 s, 65536 iters, t-(init.)=1.35 s
t(norm)=0.128746, mflops=38.8361 (err=3.5e-16)
23. Mayer (simple): elapsed time t=1.1 s, 65536 iters, t-(init.)=1.04 s
t(norm)=0.0991821, mflops=50.4123
24. Mayer (lookup): elapsed time t=1.02 s, 65536 iters, t-(init.)=0.97 s
t(norm)=0.0925064, mflops=54.0503 (err=5.9e-16)
25. Monro: elapsed time t=1.02 s, 32768 iters, t-(init.)=0.99 s
t(norm)=0.188828, mflops=26.4792 (err=1.2e-07)
26. NAPACK (f2c): elapsed time t=1.59 s, 32768 iters, t-(init.)=1.57 s
t(norm)=0.299454, mflops=16.6971 (err=9.3e-16)
27. Nielsen: elapsed time t=1.3 s, 32768 iters, t-(init.)=1.27 s
t(norm)=0.242233, mflops=20.6413 (err=3.1e-15)
28. NR (C): elapsed time t=1.46 s, 65536 iters, t-(init.)=1.41 s
t(norm)=0.134468, mflops=37.1835 (err=6.1e-16)
29. NR (F): elapsed time t=1.87 s, 65536 iters, t-(init.)=1.82 s
t(norm)=0.173569, mflops=28.807 (err=7.0e-16)
30. Ooura (C): elapsed time t=1 s, 131072 iters, t-(init.)=0.88 s
t(norm)=0.0419617, mflops=119.156 (err=4.3e-16)
31. Ooura (F): elapsed time t=1.27 s, 131072 iters, t-(init.)=1.17 s
t(norm)=0.0557899, mflops=89.6219 (err=4.3e-16)
32. QFT: elapsed time t=1.52 s, 131072 iters, t-(init.)=1.41 s
t(norm)=0.067234, mflops=74.3671 (err=4.6e-16)
33. Ransom: elapsed time t=1.67 s, 32768 iters, t-(init.)=1.65 s
t(norm)=0.314713, mflops=15.8875 (err=3.8e-15)
34. SCIPORT: elapsed time t=1.76 s, 32768 iters, t-(init.)=1.73 s
t(norm)=0.329971, mflops=15.1528 (err=3.1e-07)
35. Singleton: elapsed time t=1.09 s, 32768 iters, t-(init.)=1.06 s
t(norm)=0.202179, mflops=24.7306 (err=7.1e-16)
36. Singleton (f2c): elapsed time t=1.32 s, 65536 iters, t-(init.)=1.27 s
t(norm)=0.121117, mflops=41.2825 (err=5.8e-16)
37. Sorensen: elapsed time t=1.81 s, 131072 iters, t-(init.)=1.71 s
t(norm)=0.0815392, mflops=61.3202 (err=3.4e-16)
38. Sorensen DIT: elapsed time t=1.54 s, 32768 iters, t-(init.)=1.52 s
t(norm)=0.289917, mflops=17.2463 (err=5.1e-16)
39. Temperton: elapsed time t=1.36 s, 65536 iters, t-(init.)=1.31 s
t(norm)=0.124931, mflops=40.022 (err=1.8e-07)
40. Temperton (f2c): elapsed time t=1.83 s, 65536 iters, t-(init.)=1.78 s
t(norm)=0.169754, mflops=29.4544 (err=5.1e-16)
41. Valkenburg: elapsed time t=1.12 s, 8192 iters, t-(init.)=1.12 s
t(norm)=0.854492, mflops=5.85143 (err=8.4e-16)
Top mflops for N=32 = 203.607
Normalized results and averages for N=32:
fft 0: mflops = 36.9217 (norm. = 0.181338), norm. avg. (of 5) = 0.359092
fft 1: mflops = 36.9217 (norm. = 0.181338), norm. avg. (of 5) = 0.350438
fft 2: mflops = 30.6601 (norm. = 0.150585), norm. avg. (of 5) = 0.206616
fft 3: mflops = 12.025 (norm. = 0.0590596), norm. avg. (of 5) = 0.0454731
fft 4: mflops = 35.1871 (norm. = 0.172819), norm. avg. (of 5) = 0.121053
fft 5: mflops = 8.91646 (norm. = 0.0437925), norm. avg. (of 5) = 0.0509315
fft 6: mflops = 33.1828 (norm. = 0.162975), norm. avg. (of 5) = 0.1315
fft 7: mflops = 23.8313 (norm. = 0.117045), norm. avg. (of 5) = 0.104192
fft 8: mflops = 18.2044 (norm. = 0.0894097), norm. avg. (of 5) = 0.152521
fft 9: mflops = 58.5797 (norm. = 0.287709), norm. avg. (of 5) = 0.205593
fft 10: mflops = 65.9482 (norm. = 0.323899), norm. avg. (of 5) = 0.143904
fft 11: mflops = 20.8051 (norm. = 0.102183), norm. avg. (of 4) = 0.119075
fft 12: mflops = 57.9324 (norm. = 0.28453), norm. avg. (of 5) = 0.259584
fft 13: mflops = 54.6133 (norm. = 0.268229), norm. avg. (of 5) = 0.245879
fft 14: mflops = 100.825 (norm. = 0.495192), norm. avg. (of 5) = 0.704949
fft 15: mflops = 80.6597 (norm. = 0.396154), norm. avg. (of 5) = 0.684269
fft 16: mflops = 203.607 (norm. = 1), norm. avg. (of 5) = 1
fft 17: mflops = 75.4371 (norm. = 0.370504), norm. avg. (of 3) = 0.32825
fft 18: mflops = 34.4926 (norm. = 0.169408), norm. avg. (of 5) = 0.134638
fft 19: mflops = 34.7211 (norm. = 0.17053), norm. avg. (of 5) = 0.11655
fft 20: mflops = 33.825 (norm. = 0.166129), norm. avg. (of 5) = 0.111395
fft 21: mflops = 146.654 (norm. = 0.72028), norm. avg. (of 5) = 0.638403
fft 22: mflops = 38.8361 (norm. = 0.190741), norm. avg. (of 4) = 0.22519
fft 23: mflops = 50.4123 (norm. = 0.247596), norm. avg. (of 4) = 0.245737
fft 24: mflops = 54.0503 (norm. = 0.265464), norm. avg. (of 4) = 0.255318
fft 25: mflops = 26.4792 (norm. = 0.130051), norm. avg. (of 4) = 0.0813335
fft 26: mflops = 16.6971 (norm. = 0.0820064), norm. avg. (of 5) = 0.0592232
fft 27: mflops = 20.6413 (norm. = 0.101378), norm. avg. (of 5) = 0.0686947
fft 28: mflops = 37.1835 (norm. = 0.182624), norm. avg. (of 5) = 0.122955
fft 29: mflops = 28.807 (norm. = 0.141484), norm. avg. (of 5) = 0.100518
fft 30: mflops = 119.156 (norm. = 0.585227), norm. avg. (of 5) = 0.554803
fft 31: mflops = 89.6219 (norm. = 0.440171), norm. avg. (of 5) = 0.451124
fft 32: mflops = 74.3671 (norm. = 0.365248), norm. avg. (of 2) = 0.402404
fft 33: mflops = 15.8875 (norm. = 0.0780303), norm. avg. (of 4) = 0.055078
fft 34: mflops = 15.1528 (norm. = 0.074422), norm. avg. (of 4) = 0.0947745
fft 35: mflops = 24.7306 (norm. = 0.121462), norm. avg. (of 5) = 0.0992475
fft 36: mflops = 41.2825 (norm. = 0.202756), norm. avg. (of 5) = 0.135119
fft 37: mflops = 61.3202 (norm. = 0.30117), norm. avg. (of 5) = 0.251428
fft 38: mflops = 17.2463 (norm. = 0.0847039), norm. avg. (of 5) = 0.144057
fft 39: mflops = 40.022 (norm. = 0.196565), norm. avg. (of 5) = 0.133114
fft 40: mflops = 29.4544 (norm. = 0.144663), norm. avg. (of 5) = 0.111576
fft 41: mflops = 5.85143 (norm. = 0.0287388), norm. avg. (of 5) = 0.0461772
Benchmarking for array size = 64 (power of 2):
0. Arndt DIF: elapsed time t=1.51 s, 32768 iters, t-(init.)=1.46 s
t(norm)=0.11603, mflops=43.0922 (err=2.3e-16)
1. Arndt DIT: elapsed time t=1.5 s, 32768 iters, t-(init.)=1.45 s
t(norm)=0.115236, mflops=43.3894 (err=3.4e-16)
2. Arndt Split-Radix: elapsed time t=1.93 s, 32768 iters, t-(init.)=1.88 s
t(norm)=0.149409, mflops=33.4652 (err=4.4e-16)
3. Arndt 4-step: elapsed time t=1 s, 8192 iters, t-(init.)=0.99 s
t(norm)=0.314713, mflops=15.8875 (err=3.6e-16)
4. Bailey: elapsed time t=1.59 s, 32768 iters, t-(init.)=1.54 s
t(norm)=0.122388, mflops=40.8536 (err=4.8e-16)
5. Beauregard: elapsed time t=1.79 s, 8192 iters, t-(init.)=1.78 s
t(norm)=0.565847, mflops=8.83631 (err=3.8e-16)
6. Bergland: elapsed time t=1 s, 16384 iters, t-(init.)=0.97 s
t(norm)=0.154177, mflops=32.4302 (err=2.5e-16)
7. Brenner: elapsed time t=1.18 s, 16384 iters, t-(init.)=1.16 s
t(norm)=0.184377, mflops=27.1183 (err=3.8e-16)
8. Burrus: elapsed time t=1.61 s, 16384 iters, t-(init.)=1.59 s
t(norm)=0.252724, mflops=19.7845 (err=4.2e-16)
9. CWP (min N) (N=65): elapsed time t=1.7 s, 65536 iters, t-(init.)=1.6 s
t(norm)=0.0635783, mflops=78.6432
10. CWP (best N) (N=84): elapsed time t=1.98 s, 65536 iters, t-(init.)=1.86
s
t(norm)=0.0739098, mflops=67.6501
11. Edelblute: elapsed time t=1.44 s, 16384 iters, t-(init.)=1.42 s
t(norm)=0.225703, mflops=22.153 (err=3.6e-16)
12. FFTPACK: elapsed time t=1.04 s, 32768 iters, t-(init.)=0.99 s
t(norm)=0.0786781, mflops=63.5501 (err=4.2e-16)
13. FFTPACK (f2c): elapsed time t=1.93 s, 65536 iters, t-(init.)=1.84 s
t(norm)=0.073115, mflops=68.3854 (err=4.5e-16)
FFTW_MEASURE plan: (cost = 1.708984e-05)
FFTW_TWIDDLE 16
FFTW_NOTW 4
14. FFTW: elapsed time t=1.15 s, 65536 iters, t-(init.)=1.05 s
t(norm)=0.0417233, mflops=119.837 (err=3.1e-16)
FFTW_ESTIMATE plan: (cost = 7.680000e+02)
FFTW_TWIDDLE 2
FFTW_NOTW 32
15. FFTW_ESTIMATE: elapsed time t=1.5 s, 65536 iters, t-(init.)=1.4 s
t(norm)=0.055631, mflops=89.8779 (err=2.6e-16)
16. Frigo-old: elapsed time t=1.15 s, 32768 iters, t-(init.)=1.09 s
t(norm)=0.0866254, mflops=57.7198 (err=4.5e-16)
17. Green: elapsed time t=1.57 s, 65536 iters, t-(init.)=1.47 s
t(norm)=0.0584126, mflops=85.598 (err=3.7e-16)
18. GSL: elapsed time t=1.7 s, 32768 iters, t-(init.)=1.66 s
t(norm)=0.131925, mflops=37.9003 (err=3.8e-16)
19. GSL DIT: elapsed time t=1.65 s, 32768 iters, t-(init.)=1.6 s
t(norm)=0.127157, mflops=39.3216 (err=3.2e-16)
20. GSL DIF: elapsed time t=1.69 s, 32768 iters, t-(init.)=1.64 s
t(norm)=0.130335, mflops=38.3625 (err=3.1e-16)
21. Krukar: elapsed time t=1.25 s, 32768 iters, t-(init.)=1.2 s
t(norm)=0.0953674, mflops=52.4288 (err=5.3e-16)
22. Mayer (Buneman): elapsed time t=1.71 s, 32768 iters, t-(init.)=1.65 s
t(norm)=0.13113, mflops=38.13 (err=2.0e-16)
23. Mayer (simple): elapsed time t=1.3 s, 32768 iters, t-(init.)=1.25 s
t(norm)=0.0993411, mflops=50.3316
24. Mayer (lookup): elapsed time t=1.16 s, 32768 iters, t-(init.)=1.11 s
t(norm)=0.0882149, mflops=56.6798 (err=3.4e-16)
25. Monro: elapsed time t=1.03 s, 16384 iters, t-(init.)=1.01 s
t(norm)=0.160535, mflops=31.1458 (err=4.9e-08)
26. NAPACK (f2c): elapsed time t=1.53 s, 16384 iters, t-(init.)=1.51 s
t(norm)=0.240008, mflops=20.8326 (err=1.0e-15)
27. Nielsen: elapsed time t=1.36 s, 16384 iters, t-(init.)=1.34 s
t(norm)=0.212987, mflops=23.4756 (err=6.5e-15)
28. NR (C): elapsed time t=1.37 s, 32768 iters, t-(init.)=1.32 s
t(norm)=0.104904, mflops=47.6625 (err=3.2e-16)
29. NR (F): elapsed time t=1.81 s, 32768 iters, t-(init.)=1.77 s
t(norm)=0.140667, mflops=35.5449 (err=3.4e-16)
30. Ooura (C): elapsed time t=1.18 s, 65536 iters, t-(init.)=1.06 s
t(norm)=0.0421206, mflops=118.707 (err=2.9e-16)
31. Ooura (F): elapsed time t=1.46 s, 65536 iters, t-(init.)=1.36 s
t(norm)=0.0540415, mflops=92.5214 (err=2.9e-16)
32. QFT: elapsed time t=1.01 s, 32768 iters, t-(init.)=0.96 s
t(norm)=0.0762939, mflops=65.536 (err=5.9e-16)
33. Ransom: elapsed time t=1.17 s, 16384 iters, t-(init.)=1.14 s
t(norm)=0.181198, mflops=27.5941 (err=2.5e-15)
34. SCIPORT: elapsed time t=1.08 s, 8192 iters, t-(init.)=1.07 s
t(norm)=0.340144, mflops=14.6997 (err=2.0e-07)
35. Singleton: elapsed time t=1.3 s, 16384 iters, t-(init.)=1.28 s
t(norm)=0.203451, mflops=24.576 (err=3.5e-16)
36. Singleton (f2c): elapsed time t=1.35 s, 32768 iters, t-(init.)=1.3 s
t(norm)=0.103315, mflops=48.3958 (err=4.6e-16)
37. Sorensen: elapsed time t=1.84 s, 65536 iters, t-(init.)=1.74 s
t(norm)=0.0691414, mflops=72.3156 (err=3.4e-16)
38. Sorensen DIT: elapsed time t=1.68 s, 16384 iters, t-(init.)=1.65 s
t(norm)=0.26226, mflops=19.065 (err=5.4e-16)
39. Temperton: elapsed time t=1.22 s, 32768 iters, t-(init.)=1.17 s
t(norm)=0.0929832, mflops=53.7731 (err=1.2e-07)
40. Temperton (f2c): elapsed time t=1.68 s, 32768 iters, t-(init.)=1.63 s
t(norm)=0.129541, mflops=38.5979 (err=3.7e-16)
41. Valkenburg: elapsed time t=1.32 s, 4096 iters, t-(init.)=1.32 s
t(norm)=0.839233, mflops=5.95782 (err=8.5e-16)
Top mflops for N=64 = 119.837
Normalized results and averages for N=64:
fft 0: mflops = 43.0922 (norm. = 0.359589), norm. avg. (of 6) = 0.359175
fft 1: mflops = 43.3894 (norm. = 0.362069), norm. avg. (of 6) = 0.352376
fft 2: mflops = 33.4652 (norm. = 0.279255), norm. avg. (of 6) = 0.218722
fft 3: mflops = 15.8875 (norm. = 0.132576), norm. avg. (of 6) = 0.0599902
fft 4: mflops = 40.8536 (norm. = 0.340909), norm. avg. (of 6) = 0.157695
fft 5: mflops = 8.83631 (norm. = 0.073736), norm. avg. (of 6) = 0.0547323
fft 6: mflops = 32.4302 (norm. = 0.270619), norm. avg. (of 6) = 0.154687
fft 7: mflops = 27.1183 (norm. = 0.226293), norm. avg. (of 6) = 0.124542
fft 8: mflops = 19.7845 (norm. = 0.165094), norm. avg. (of 6) = 0.154617
fft 9: mflops = 78.6432 (norm. = 0.65625), norm. avg. (of 6) = 0.280703
fft 10: mflops = 67.6501 (norm. = 0.564516), norm. avg. (of 6) = 0.214006
fft 11: mflops = 22.153 (norm. = 0.184859), norm. avg. (of 5) = 0.132232
fft 12: mflops = 63.5501 (norm. = 0.530303), norm. avg. (of 6) = 0.304703
fft 13: mflops = 68.3854 (norm. = 0.570652), norm. avg. (of 6) = 0.300008
fft 14: mflops = 119.837 (norm. = 1), norm. avg. (of 6) = 0.754124
fft 15: mflops = 89.8779 (norm. = 0.75), norm. avg. (of 6) = 0.695224
fft 16: mflops = 57.7198 (norm. = 0.481651), norm. avg. (of 6) = 0.913609
fft 17: mflops = 85.598 (norm. = 0.714286), norm. avg. (of 4) = 0.424759
fft 18: mflops = 37.9003 (norm. = 0.316265), norm. avg. (of 6) = 0.164909
fft 19: mflops = 39.3216 (norm. = 0.328125), norm. avg. (of 6) = 0.151812
fft 20: mflops = 38.3625 (norm. = 0.320122), norm. avg. (of 6) = 0.146183
fft 21: mflops = 52.4288 (norm. = 0.4375), norm. avg. (of 6) = 0.604919
fft 22: mflops = 38.13 (norm. = 0.318182), norm. avg. (of 5) = 0.243788
fft 23: mflops = 50.3316 (norm. = 0.42), norm. avg. (of 5) = 0.28059
fft 24: mflops = 56.6798 (norm. = 0.472973), norm. avg. (of 5) = 0.298849
fft 25: mflops = 31.1458 (norm. = 0.259901), norm. avg. (of 5) = 0.117047
fft 26: mflops = 20.8326 (norm. = 0.173841), norm. avg. (of 6) = 0.0783262
fft 27: mflops = 23.4756 (norm. = 0.195896), norm. avg. (of 6) = 0.0898948
fft 28: mflops = 47.6625 (norm. = 0.397727), norm. avg. (of 6) = 0.16875
fft 29: mflops = 35.5449 (norm. = 0.29661), norm. avg. (of 6) = 0.1332
fft 30: mflops = 118.707 (norm. = 0.990566), norm. avg. (of 6) = 0.62743
fft 31: mflops = 92.5214 (norm. = 0.772059), norm. avg. (of 6) = 0.504613
fft 32: mflops = 65.536 (norm. = 0.546875), norm. avg. (of 3) = 0.450561
fft 33: mflops = 27.5941 (norm. = 0.230263), norm. avg. (of 5) = 0.090115
fft 34: mflops = 14.6997 (norm. = 0.122664), norm. avg. (of 5) = 0.100352
fft 35: mflops = 24.576 (norm. = 0.205078), norm. avg. (of 6) = 0.116886
fft 36: mflops = 48.3958 (norm. = 0.403846), norm. avg. (of 6) = 0.179907
fft 37: mflops = 72.3156 (norm. = 0.603448), norm. avg. (of 6) = 0.310098
fft 38: mflops = 19.065 (norm. = 0.159091), norm. avg. (of 6) = 0.146563
fft 39: mflops = 53.7731 (norm. = 0.448718), norm. avg. (of 6) = 0.185715
fft 40: mflops = 38.5979 (norm. = 0.322086), norm. avg. (of 6) = 0.146661
fft 41: mflops = 5.95782 (norm. = 0.0497159), norm. avg. (of 6) = 0.0467669
Benchmarking for array size = 128 (power of 2):
0. Arndt DIF: elapsed time t=1.82 s, 16384 iters, t-(init.)=1.77 s
t(norm)=0.120572, mflops=41.4691 (err=3.8e-16)
1. Arndt DIT: elapsed time t=1.84 s, 16384 iters, t-(init.)=1.8 s
t(norm)=0.122615, mflops=40.778 (err=5.1e-16)
2. Arndt Split-Radix: elapsed time t=1.02 s, 8192 iters, t-(init.)=1 s
t(norm)=0.136239, mflops=36.7002 (err=6.1e-16)
3. Arndt 4-step: elapsed time t=1.25 s, 4096 iters, t-(init.)=1.23 s
t(norm)=0.335148, mflops=14.9188 (err=3.3e-16)
4. Bailey: elapsed time t=1.55 s, 16384 iters, t-(init.)=1.51 s
t(norm)=0.102861, mflops=48.6095 (err=6.1e-16)
5. Beauregard: elapsed time t=1.04 s, 2048 iters, t-(init.)=1.04 s
t(norm)=0.566755, mflops=8.82215 (err=9.3e-16)
6. Bergland: elapsed time t=1.07 s, 8192 iters, t-(init.)=1.05 s
t(norm)=0.143051, mflops=34.9525 (err=6.2e-16)
7. Brenner: elapsed time t=1.27 s, 8192 iters, t-(init.)=1.24 s
t(norm)=0.168937, mflops=29.5969 (err=6.6e-16)
8. Burrus: elapsed time t=1.7 s, 8192 iters, t-(init.)=1.68 s
t(norm)=0.228882, mflops=21.8453 (err=5.3e-16)
9. CWP (min N) (N=130): elapsed time t=1.67 s, 32768 iters, t-(init.)=1.57 s
t(norm)=0.0534739, mflops=93.5036
10. CWP (best N) (N=140): elapsed time t=1.57 s, 32768 iters, t-(init.)=1.47
s
t(norm)=0.0500679, mflops=99.8644
11. Edelblute: elapsed time t=1.52 s, 8192 iters, t-(init.)=1.5 s
t(norm)=0.204359, mflops=24.4668 (err=6.7e-16)
12. FFTPACK: elapsed time t=1.07 s, 16384 iters, t-(init.)=1.02 s
t(norm)=0.069482, mflops=71.9611 (err=5.3e-16)
13. FFTPACK (f2c): elapsed time t=1.02 s, 16384 iters, t-(init.)=0.97 s
t(norm)=0.066076, mflops=75.6704 (err=6.2e-16)
FFTW_MEASURE plan: (cost = 4.150391e-05)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 2
FFTW_NOTW 8
14. FFTW: elapsed time t=1.38 s, 32768 iters, t-(init.)=1.29 s
t(norm)=0.0439371, mflops=113.799 (err=5.2e-16)
FFTW_ESTIMATE plan: (cost = 1.075200e+03)
FFTW_TWIDDLE 4
FFTW_NOTW 32
15. FFTW_ESTIMATE: elapsed time t=1.68 s, 32768 iters, t-(init.)=1.59 s
t(norm)=0.0541551, mflops=92.3274 (err=3.6e-16)
16. Frigo-old: elapsed time t=1.45 s, 16384 iters, t-(init.)=1.4 s
t(norm)=0.0953674, mflops=52.4288 (err=4.4e-16)
17. Green: elapsed time t=1.87 s, 32768 iters, t-(init.)=1.77 s
t(norm)=0.0602858, mflops=82.9382 (err=6.9e-16)
18. GSL: elapsed time t=1.82 s, 16384 iters, t-(init.)=1.78 s
t(norm)=0.121253, mflops=41.2361 (err=8.2e-16)
19. GSL DIT: elapsed time t=1.73 s, 16384 iters, t-(init.)=1.68 s
t(norm)=0.114441, mflops=43.6907 (err=7.5e-16)
20. GSL DIF: elapsed time t=1.77 s, 16384 iters, t-(init.)=1.72 s
t(norm)=0.117166, mflops=42.6746 (err=7.6e-16)
21. Krukar: elapsed time t=1.05 s, 8192 iters, t-(init.)=1.03 s
t(norm)=0.140326, mflops=35.6312 (err=6.5e-16)
22. Mayer (Buneman): elapsed time t=1.86 s, 16384 iters, t-(init.)=1.81 s
t(norm)=0.123296, mflops=40.5527 (err=3.1e-16)
23. Mayer (simple): elapsed time t=1.36 s, 16384 iters, t-(init.)=1.31 s
t(norm)=0.0892367, mflops=56.0308
24. Mayer (lookup): elapsed time t=1.26 s, 16384 iters, t-(init.)=1.21 s
t(norm)=0.0824247, mflops=60.6614 (err=3.5e-16)
25. Monro: elapsed time t=1.04 s, 8192 iters, t-(init.)=1.02 s
t(norm)=0.138964, mflops=35.9805 (err=8.3e-08)
26. NAPACK (f2c): elapsed time t=1.66 s, 8192 iters, t-(init.)=1.64 s
t(norm)=0.223432, mflops=22.3781 (err=1.6e-15)
27. Nielsen: elapsed time t=1.44 s, 8192 iters, t-(init.)=1.42 s
t(norm)=0.19346, mflops=25.8452 (err=1.7e-15)
28. NR (C): elapsed time t=1.34 s, 16384 iters, t-(init.)=1.29 s
t(norm)=0.0878743, mflops=56.8995 (err=7.5e-16)
29. NR (F): elapsed time t=1.8 s, 16384 iters, t-(init.)=1.76 s
t(norm)=0.11989, mflops=41.7047 (err=6.9e-16)
30. Ooura (C): elapsed time t=1.27 s, 32768 iters, t-(init.)=1.15 s
t(norm)=0.0391688, mflops=127.653 (err=6.7e-16)
31. Ooura (F): elapsed time t=1.62 s, 32768 iters, t-(init.)=1.53 s
t(norm)=0.0521115, mflops=95.9481 (err=6.7e-16)
32. QFT: elapsed time t=1.24 s, 16384 iters, t-(init.)=1.2 s
t(norm)=0.0817435, mflops=61.1669 (err=4.9e-16)
33. Ransom: elapsed time t=1.39 s, 8192 iters, t-(init.)=1.37 s
t(norm)=0.186648, mflops=26.7884 (err=1.7e-15)
34. SCIPORT: elapsed time t=1.27 s, 4096 iters, t-(init.)=1.26 s
t(norm)=0.343323, mflops=14.5636 (err=1.6e-07)
35. Singleton: elapsed time t=1.18 s, 8192 iters, t-(init.)=1.16 s
t(norm)=0.158037, mflops=31.6381 (err=6.2e-16)
36. Singleton (f2c): elapsed time t=1.38 s, 16384 iters, t-(init.)=1.34 s
t(norm)=0.0912803, mflops=54.7764 (err=5.7e-16)
37. Sorensen: elapsed time t=1.86 s, 32768 iters, t-(init.)=1.77 s
t(norm)=0.0602858, mflops=82.9382 (err=4.3e-16)
38. Sorensen DIT: elapsed time t=1.8 s, 8192 iters, t-(init.)=1.78 s
t(norm)=0.242506, mflops=20.6181 (err=4.0e-16)
39. Temperton: elapsed time t=1.36 s, 16384 iters, t-(init.)=1.32 s
t(norm)=0.0899179, mflops=55.6063 (err=9.9e-08)
40. Temperton (f2c): elapsed time t=1.01 s, 8192 iters, t-(init.)=0.98 s
t(norm)=0.133514, mflops=37.4491 (err=7.7e-16)
41. Valkenburg: elapsed time t=1.51 s, 2048 iters, t-(init.)=1.5 s
t(norm)=0.817435, mflops=6.11669 (err=8.6e-16)
Top mflops for N=128 = 127.653
Normalized results and averages for N=128:
fft 0: mflops = 41.4691 (norm. = 0.324859), norm. avg. (of 7) = 0.354272
fft 1: mflops = 40.778 (norm. = 0.319444), norm. avg. (of 7) = 0.347672
fft 2: mflops = 36.7002 (norm. = 0.2875), norm. avg. (of 7) = 0.228548
fft 3: mflops = 14.9188 (norm. = 0.11687), norm. avg. (of 7) = 0.0681159
fft 4: mflops = 48.6095 (norm. = 0.380795), norm. avg. (of 7) = 0.189567
fft 5: mflops = 8.82215 (norm. = 0.0691106), norm. avg. (of 7) = 0.0567863
fft 6: mflops = 34.9525 (norm. = 0.27381), norm. avg. (of 7) = 0.171704
fft 7: mflops = 29.5969 (norm. = 0.231855), norm. avg. (of 7) = 0.139873
fft 8: mflops = 21.8453 (norm. = 0.171131), norm. avg. (of 7) = 0.156976
fft 9: mflops = 93.5036 (norm. = 0.732484), norm. avg. (of 7) = 0.345243
fft 10: mflops = 99.8644 (norm. = 0.782313), norm. avg. (of 7) = 0.295193
fft 11: mflops = 24.4668 (norm. = 0.191667), norm. avg. (of 6) = 0.142138
fft 12: mflops = 71.9611 (norm. = 0.563725), norm. avg. (of 7) = 0.341707
fft 13: mflops = 75.6704 (norm. = 0.592784), norm. avg. (of 7) = 0.341833
fft 14: mflops = 113.799 (norm. = 0.891473), norm. avg. (of 7) = 0.773745
fft 15: mflops = 92.3274 (norm. = 0.72327), norm. avg. (of 7) = 0.699231
fft 16: mflops = 52.4288 (norm. = 0.410714), norm. avg. (of 7) = 0.841767
fft 17: mflops = 82.9382 (norm. = 0.649718), norm. avg. (of 5) = 0.469751
fft 18: mflops = 41.2361 (norm. = 0.323034), norm. avg. (of 7) = 0.187498
fft 19: mflops = 43.6907 (norm. = 0.342262), norm. avg. (of 7) = 0.179019
fft 20: mflops = 42.6746 (norm. = 0.334302), norm. avg. (of 7) = 0.173057
fft 21: mflops = 35.6312 (norm. = 0.279126), norm. avg. (of 7) = 0.558377
fft 22: mflops = 40.5527 (norm. = 0.31768), norm. avg. (of 6) = 0.256103
fft 23: mflops = 56.0308 (norm. = 0.438931), norm. avg. (of 6) = 0.30698
fft 24: mflops = 60.6614 (norm. = 0.475207), norm. avg. (of 6) = 0.328242
fft 25: mflops = 35.9805 (norm. = 0.281863), norm. avg. (of 6) = 0.144516
fft 26: mflops = 22.3781 (norm. = 0.175305), norm. avg. (of 7) = 0.0921803
fft 27: mflops = 25.8452 (norm. = 0.202465), norm. avg. (of 7) = 0.105976
fft 28: mflops = 56.8995 (norm. = 0.445736), norm. avg. (of 7) = 0.20832
fft 29: mflops = 41.7047 (norm. = 0.326705), norm. avg. (of 7) = 0.160843
fft 30: mflops = 127.653 (norm. = 1), norm. avg. (of 7) = 0.680654
fft 31: mflops = 95.9481 (norm. = 0.751634), norm. avg. (of 7) = 0.539902
fft 32: mflops = 61.1669 (norm. = 0.479167), norm. avg. (of 4) = 0.457713
fft 33: mflops = 26.7884 (norm. = 0.209854), norm. avg. (of 6) = 0.110072
fft 34: mflops = 14.5636 (norm. = 0.114087), norm. avg. (of 6) = 0.102642
fft 35: mflops = 31.6381 (norm. = 0.247845), norm. avg. (of 7) = 0.135594
fft 36: mflops = 54.7764 (norm. = 0.429104), norm. avg. (of 7) = 0.215507
fft 37: mflops = 82.9382 (norm. = 0.649718), norm. avg. (of 7) = 0.358615
fft 38: mflops = 20.6181 (norm. = 0.161517), norm. avg. (of 7) = 0.148699
fft 39: mflops = 55.6063 (norm. = 0.435606), norm. avg. (of 7) = 0.221413
fft 40: mflops = 37.4491 (norm. = 0.293367), norm. avg. (of 7) = 0.167619
fft 41: mflops = 6.11669 (norm. = 0.0479167), norm. avg. (of 7) = 0.0469312
Benchmarking for array size = 256 (power of 2):
0. Arndt DIF: elapsed time t=1.74 s, 8192 iters, t-(init.)=1.69 s
t(norm)=0.100732, mflops=49.6367 (err=4.8e-16)
1. Arndt DIT: elapsed time t=1.71 s, 8192 iters, t-(init.)=1.66 s
t(norm)=0.0989437, mflops=50.5338 (err=5.1e-16)
2. Arndt Split-Radix: elapsed time t=1.06 s, 4096 iters, t-(init.)=1.03 s
t(norm)=0.122786, mflops=40.7214 (err=5.5e-16)
3. Arndt 4-step: elapsed time t=1.24 s, 2048 iters, t-(init.)=1.23 s
t(norm)=0.293255, mflops=17.05 (err=5.7e-16)
4. Bailey: elapsed time t=1.73 s, 8192 iters, t-(init.)=1.69 s
t(norm)=0.100732, mflops=49.6367 (err=5.5e-16)
5. Beauregard: elapsed time t=1.19 s, 1024 iters, t-(init.)=1.18 s
t(norm)=0.562668, mflops=8.88624 (err=4.8e-16)
6. Bergland: elapsed time t=1.11 s, 4096 iters, t-(init.)=1.09 s
t(norm)=0.129938, mflops=38.4799 (err=5.7e-16)
7. Brenner: elapsed time t=1.34 s, 4096 iters, t-(init.)=1.32 s
t(norm)=0.157356, mflops=31.775 (err=4.8e-16)
8. Burrus: elapsed time t=1.76 s, 4096 iters, t-(init.)=1.73 s
t(norm)=0.206232, mflops=24.2445 (err=5.4e-16)
9. CWP (min N) (N=260): elapsed time t=1.67 s, 16384 iters, t-(init.)=1.58 s
t(norm)=0.0470877, mflops=106.185
10. CWP (best N) (N=280): elapsed time t=1.6 s, 16384 iters, t-(init.)=1.5 s
t(norm)=0.0447035, mflops=111.848
11. Edelblute: elapsed time t=1.58 s, 4096 iters, t-(init.)=1.56 s
t(norm)=0.185966, mflops=26.8866 (err=5.9e-16)
12. FFTPACK: elapsed time t=1.24 s, 8192 iters, t-(init.)=1.19 s
t(norm)=0.0709295, mflops=70.4925 (err=4.4e-16)
13. FFTPACK (f2c): elapsed time t=1.1 s, 8192 iters, t-(init.)=1.05 s
t(norm)=0.0625849, mflops=79.8915 (err=4.5e-16)
FFTW_MEASURE plan: (cost = 8.544922e-05)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 4
FFTW_NOTW 8
14. FFTW: elapsed time t=1.42 s, 16384 iters, t-(init.)=1.33 s
t(norm)=0.0396371, mflops=126.144 (err=4.2e-16)
FFTW_ESTIMATE plan: (cost = 9.216000e+02)
FFTW_TWIDDLE 8
FFTW_NOTW 32
15. FFTW_ESTIMATE: elapsed time t=1.74 s, 16384 iters, t-(init.)=1.65 s
t(norm)=0.0491738, mflops=101.68 (err=4.6e-16)
16. Frigo-old: elapsed time t=1.57 s, 8192 iters, t-(init.)=1.52 s
t(norm)=0.0905991, mflops=55.1882 (err=4.5e-16)
17. Green: elapsed time t=1.05 s, 8192 iters, t-(init.)=1 s
t(norm)=0.0596046, mflops=83.8861 (err=4.8e-16)
18. GSL: elapsed time t=1 s, 4096 iters, t-(init.)=0.97 s
t(norm)=0.115633, mflops=43.2402 (err=4.7e-16)
19. GSL DIT: elapsed time t=1.83 s, 8192 iters, t-(init.)=1.79 s
t(norm)=0.106692, mflops=46.8637 (err=5.0e-16)
20. GSL DIF: elapsed time t=1.85 s, 8192 iters, t-(init.)=1.8 s
t(norm)=0.107288, mflops=46.6034 (err=4.9e-16)
21. Krukar: elapsed time t=1.68 s, 8192 iters, t-(init.)=1.63 s
t(norm)=0.0971556, mflops=51.4639 (err=5.0e-16)
22. Mayer (Buneman): elapsed time t=1.02 s, 4096 iters, t-(init.)=0.99 s
t(norm)=0.118017, mflops=42.3667 (err=4.7e-16)
23. Mayer (simple): elapsed time t=1.53 s, 8192 iters, t-(init.)=1.48 s
t(norm)=0.0882149, mflops=56.6798
24. Mayer (lookup): elapsed time t=1.42 s, 8192 iters, t-(init.)=1.37 s
t(norm)=0.0816584, mflops=61.2307 (err=5.7e-16)
25. Monro: elapsed time t=1.1 s, 4096 iters, t-(init.)=1.07 s
t(norm)=0.127554, mflops=39.1991 (err=8.2e-08)
26. NAPACK (f2c): elapsed time t=1.7 s, 4096 iters, t-(init.)=1.68 s
t(norm)=0.200272, mflops=24.9661 (err=3.9e-15)
27. Nielsen: elapsed time t=1.59 s, 4096 iters, t-(init.)=1.57 s
t(norm)=0.187159, mflops=26.7153 (err=3.8e-15)
28. NR (C): elapsed time t=1.38 s, 8192 iters, t-(init.)=1.33 s
t(norm)=0.0792742, mflops=63.0722 (err=4.9e-16)
29. NR (F): elapsed time t=1.87 s, 8192 iters, t-(init.)=1.83 s
t(norm)=0.109076, mflops=45.8394 (err=4.5e-16)
30. Ooura (C): elapsed time t=1.42 s, 16384 iters, t-(init.)=1.31 s
t(norm)=0.039041, mflops=128.07 (err=5.0e-16)
31. Ooura (F): elapsed time t=1.78 s, 16384 iters, t-(init.)=1.69 s
t(norm)=0.0503659, mflops=99.2735 (err=5.0e-16)
32. QFT: elapsed time t=1.48 s, 8192 iters, t-(init.)=1.44 s
t(norm)=0.0858307, mflops=58.2542 (err=7.0e-16)
33. Ransom: elapsed time t=1.14 s, 4096 iters, t-(init.)=1.11 s
t(norm)=0.132322, mflops=37.7865 (err=2.0e-15)
34. SCIPORT: elapsed time t=1.47 s, 2048 iters, t-(init.)=1.46 s
t(norm)=0.348091, mflops=14.3641 (err=1.4e-07)
35. Singleton: elapsed time t=1.57 s, 4096 iters, t-(init.)=1.54 s
t(norm)=0.183582, mflops=27.2357 (err=5.0e-16)
36. Singleton (f2c): elapsed time t=1.51 s, 8192 iters, t-(init.)=1.46 s
t(norm)=0.0870228, mflops=57.4562 (err=5.4e-16)
37. Sorensen: elapsed time t=1.94 s, 16384 iters, t-(init.)=1.85 s
t(norm)=0.0551343, mflops=90.6877 (err=6.0e-16)
38. Sorensen DIT: elapsed time t=1.9 s, 4096 iters, t-(init.)=1.88 s
t(norm)=0.224113, mflops=22.3101 (err=5.7e-16)
39. Temperton: elapsed time t=1.41 s, 8192 iters, t-(init.)=1.36 s
t(norm)=0.0810623, mflops=61.6809 (err=9.1e-08)
40. Temperton (f2c): elapsed time t=1.09 s, 4096 iters, t-(init.)=1.07 s
t(norm)=0.127554, mflops=39.1991 (err=4.5e-16)
41. Valkenburg: elapsed time t=1.7 s, 1024 iters, t-(init.)=1.69 s
t(norm)=0.805855, mflops=6.20459 (err=6.4e-16)
Top mflops for N=256 = 128.07
Normalized results and averages for N=256:
fft 0: mflops = 49.6367 (norm. = 0.387574), norm. avg. (of 8) = 0.358435
fft 1: mflops = 50.5338 (norm. = 0.394578), norm. avg. (of 8) = 0.353535
fft 2: mflops = 40.7214 (norm. = 0.317961), norm. avg. (of 8) = 0.239724
fft 3: mflops = 17.05 (norm. = 0.13313), norm. avg. (of 8) = 0.0762426
fft 4: mflops = 49.6367 (norm. = 0.387574), norm. avg. (of 8) = 0.214318
fft 5: mflops = 8.88624 (norm. = 0.0693856), norm. avg. (of 8) = 0.0583612
fft 6: mflops = 38.4799 (norm. = 0.300459), norm. avg. (of 8) = 0.187798
fft 7: mflops = 31.775 (norm. = 0.248106), norm. avg. (of 8) = 0.153402
fft 8: mflops = 24.2445 (norm. = 0.189306), norm. avg. (of 8) = 0.161017
fft 9: mflops = 106.185 (norm. = 0.829114), norm. avg. (of 8) = 0.405727
fft 10: mflops = 111.848 (norm. = 0.873333), norm. avg. (of 8) = 0.367461
fft 11: mflops = 26.8866 (norm. = 0.209936), norm. avg. (of 7) = 0.151823
fft 12: mflops = 70.4925 (norm. = 0.55042), norm. avg. (of 8) = 0.367796
fft 13: mflops = 79.8915 (norm. = 0.62381), norm. avg. (of 8) = 0.37708
fft 14: mflops = 126.144 (norm. = 0.984962), norm. avg. (of 8) = 0.800147
fft 15: mflops = 101.68 (norm. = 0.793939), norm. avg. (of 8) = 0.711069
fft 16: mflops = 55.1882 (norm. = 0.430921), norm. avg. (of 8) = 0.790411
fft 17: mflops = 83.8861 (norm. = 0.655), norm. avg. (of 6) = 0.500626
fft 18: mflops = 43.2402 (norm. = 0.337629), norm. avg. (of 8) = 0.206264
fft 19: mflops = 46.8637 (norm. = 0.365922), norm. avg. (of 8) = 0.202382
fft 20: mflops = 46.6034 (norm. = 0.363889), norm. avg. (of 8) = 0.196911
fft 21: mflops = 51.4639 (norm. = 0.40184), norm. avg. (of 8) = 0.53881
fft 22: mflops = 42.3667 (norm. = 0.330808), norm. avg. (of 7) = 0.266775
fft 23: mflops = 56.6798 (norm. = 0.442568), norm. avg. (of 7) = 0.32635
fft 24: mflops = 61.2307 (norm. = 0.478102), norm. avg. (of 7) = 0.349651
fft 25: mflops = 39.1991 (norm. = 0.306075), norm. avg. (of 7) = 0.167596
fft 26: mflops = 24.9661 (norm. = 0.19494), norm. avg. (of 8) = 0.105025
fft 27: mflops = 26.7153 (norm. = 0.208599), norm. avg. (of 8) = 0.118804
fft 28: mflops = 63.0722 (norm. = 0.492481), norm. avg. (of 8) = 0.24384
fft 29: mflops = 45.8394 (norm. = 0.357923), norm. avg. (of 8) = 0.185478
fft 30: mflops = 128.07 (norm. = 1), norm. avg. (of 8) = 0.720573
fft 31: mflops = 99.2735 (norm. = 0.775148), norm. avg. (of 8) = 0.569307
fft 32: mflops = 58.2542 (norm. = 0.454861), norm. avg. (of 5) = 0.457142
fft 33: mflops = 37.7865 (norm. = 0.295045), norm. avg. (of 7) = 0.136496
fft 34: mflops = 14.3641 (norm. = 0.112158), norm. avg. (of 7) = 0.104001
fft 35: mflops = 27.2357 (norm. = 0.212662), norm. avg. (of 8) = 0.145228
fft 36: mflops = 57.4562 (norm. = 0.44863), norm. avg. (of 8) = 0.244647
fft 37: mflops = 90.6877 (norm. = 0.708108), norm. avg. (of 8) = 0.402302
fft 38: mflops = 22.3101 (norm. = 0.174202), norm. avg. (of 8) = 0.151887
fft 39: mflops = 61.6809 (norm. = 0.481618), norm. avg. (of 8) = 0.253939
fft 40: mflops = 39.1991 (norm. = 0.306075), norm. avg. (of 8) = 0.184926
fft 41: mflops = 6.20459 (norm. = 0.0484467), norm. avg. (of 8) = 0.0471206
Benchmarking for array size = 512 (power of 2):
0. Arndt DIF: elapsed time t=1.03 s, 2048 iters, t-(init.)=1.01 s
t(norm)=0.107023, mflops=46.7187 (err=5.4e-16)
1. Arndt DIT: elapsed time t=1.03 s, 2048 iters, t-(init.)=1.01 s
t(norm)=0.107023, mflops=46.7187 (err=5.5e-16)
2. Arndt Split-Radix: elapsed time t=1.17 s, 2048 iters, t-(init.)=1.15 s
t(norm)=0.121858, mflops=41.0312 (err=6.0e-16)
3. Arndt 4-step: elapsed time t=1.4 s, 1024 iters, t-(init.)=1.38 s
t(norm)=0.29246, mflops=17.0963 (err=5.5e-16)
4. Bailey: elapsed time t=1.94 s, 4096 iters, t-(init.)=1.89 s
t(norm)=0.100136, mflops=49.9322 (err=5.7e-16)
5. Beauregard: elapsed time t=1.34 s, 512 iters, t-(init.)=1.33 s
t(norm)=0.563727, mflops=8.86953 (err=6.6e-16)
6. Bergland: elapsed time t=1.27 s, 2048 iters, t-(init.)=1.25 s
t(norm)=0.132455, mflops=37.7487 (err=5.5e-16)
7. Brenner: elapsed time t=1.45 s, 2048 iters, t-(init.)=1.42 s
t(norm)=0.150469, mflops=33.2295 (err=5.7e-16)
8. Burrus: elapsed time t=1.87 s, 2048 iters, t-(init.)=1.85 s
t(norm)=0.196033, mflops=25.5059 (err=5.8e-16)
9. CWP (min N) (N=520): elapsed time t=1.74 s, 8192 iters, t-(init.)=1.65 s
t(norm)=0.0437101, mflops=114.39
10. CWP (best N) (N=560): elapsed time t=1.7 s, 8192 iters, t-(init.)=1.6 s
t(norm)=0.0423855, mflops=117.965
11. Edelblute: elapsed time t=1.7 s, 2048 iters, t-(init.)=1.68 s
t(norm)=0.178019, mflops=28.0869 (err=6.1e-16)
12. FFTPACK: elapsed time t=1.71 s, 4096 iters, t-(init.)=1.67 s
t(norm)=0.0884798, mflops=56.5101 (err=5.5e-16)
13. FFTPACK (f2c): elapsed time t=1.76 s, 4096 iters, t-(init.)=1.71 s
t(norm)=0.0905991, mflops=55.1882 (err=5.4e-16)
FFTW_MEASURE plan: (cost = 2.636719e-04)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 8
14. FFTW: elapsed time t=1.06 s, 4096 iters, t-(init.)=1.01 s
t(norm)=0.0535117, mflops=93.4375 (err=5.4e-16)
FFTW_ESTIMATE plan: (cost = 1.843200e+03)
FFTW_TWIDDLE 16
FFTW_NOTW 32
15. FFTW_ESTIMATE: elapsed time t=1.09 s, 4096 iters, t-(init.)=1.04 s
t(norm)=0.0551012, mflops=90.7422 (err=5.4e-16)
16. Frigo-old: elapsed time t=1.5 s, 4096 iters, t-(init.)=1.44 s
t(norm)=0.0762939, mflops=65.536 (err=5.4e-16)
17. Green: elapsed time t=1.12 s, 4096 iters, t-(init.)=1.08 s
t(norm)=0.0572205, mflops=87.3813 (err=5.9e-16)
18. GSL: elapsed time t=1.18 s, 2048 iters, t-(init.)=1.15 s
t(norm)=0.121858, mflops=41.0312 (err=6.1e-16)
19. GSL DIT: elapsed time t=1.97 s, 4096 iters, t-(init.)=1.93 s
t(norm)=0.102255, mflops=48.8973 (err=5.9e-16)
20. GSL DIF: elapsed time t=1 s, 2048 iters, t-(init.)=0.97 s
t(norm)=0.102785, mflops=48.6453 (err=5.6e-16)
21. Krukar: elapsed time t=1.08 s, 2048 iters, t-(init.)=1.05 s
t(norm)=0.111262, mflops=44.939 (err=5.6e-16)
22. Mayer (Buneman): elapsed time t=1.05 s, 2048 iters, t-(init.)=1.02 s
t(norm)=0.108083, mflops=46.2607 (err=5.7e-16)
23. Mayer (simple): elapsed time t=1.54 s, 4096 iters, t-(init.)=1.48 s
t(norm)=0.0784132, mflops=63.7648
24. Mayer (lookup): elapsed time t=1.44 s, 4096 iters, t-(init.)=1.39 s
t(norm)=0.0736448, mflops=67.8934 (err=5.1e-16)
25. Monro: elapsed time t=1.26 s, 2048 iters, t-(init.)=1.24 s
t(norm)=0.131395, mflops=38.0532 (err=7.5e-08)
26. NAPACK (f2c): elapsed time t=1.92 s, 2048 iters, t-(init.)=1.9 s
t(norm)=0.201331, mflops=24.8347 (err=6.0e-15)
27. Nielsen: elapsed time t=1.78 s, 2048 iters, t-(init.)=1.76 s
t(norm)=0.186496, mflops=26.8102 (err=3.0e-15)
28. NR (C): elapsed time t=1.47 s, 4096 iters, t-(init.)=1.42 s
t(norm)=0.0752343, mflops=66.459 (err=5.9e-16)
29. NR (F): elapsed time t=1.95 s, 4096 iters, t-(init.)=1.91 s
t(norm)=0.101195, mflops=49.4093 (err=5.8e-16)
30. Ooura (C): elapsed time t=1.52 s, 8192 iters, t-(init.)=1.42 s
t(norm)=0.0376172, mflops=132.918 (err=5.3e-16)
31. Ooura (F): elapsed time t=1.91 s, 8192 iters, t-(init.)=1.81 s
t(norm)=0.0479486, mflops=104.278 (err=5.3e-16)
32. QFT: elapsed time t=1.09 s, 2048 iters, t-(init.)=1.06 s
t(norm)=0.112322, mflops=44.515 (err=7.4e-16)
33. Ransom: elapsed time t=1.32 s, 2048 iters, t-(init.)=1.3 s
t(norm)=0.137753, mflops=36.2969 (err=1.6e-15)
34. SCIPORT: elapsed time t=1.77 s, 1024 iters, t-(init.)=1.75 s
t(norm)=0.370873, mflops=13.4817 (err=1.3e-07)
35. Singleton: elapsed time t=1.64 s, 2048 iters, t-(init.)=1.62 s
t(norm)=0.171661, mflops=29.1271 (err=7.9e-16)
36. Singleton (f2c): elapsed time t=1.6 s, 4096 iters, t-(init.)=1.56 s
t(norm)=0.0826518, mflops=60.4948 (err=8.0e-16)
37. Sorensen: elapsed time t=1.11 s, 4096 iters, t-(init.)=1.06 s
t(norm)=0.0561608, mflops=89.03 (err=5.7e-16)
38. Sorensen DIT: elapsed time t=2 s, 2048 iters, t-(init.)=1.97 s
t(norm)=0.208749, mflops=23.9522 (err=5.5e-16)
39. Temperton: elapsed time t=1.67 s, 4096 iters, t-(init.)=1.63 s
t(norm)=0.0863605, mflops=57.8968 (err=9.2e-08)
40. Temperton (f2c): elapsed time t=1.34 s, 2048 iters, t-(init.)=1.32 s
t(norm)=0.139872, mflops=35.7469 (err=6.1e-16)
41. Valkenburg: elapsed time t=1.94 s, 512 iters, t-(init.)=1.94 s
t(norm)=0.822279, mflops=6.08066 (err=6.6e-16)
Top mflops for N=512 = 132.918
Normalized results and averages for N=512:
fft 0: mflops = 46.7187 (norm. = 0.351485), norm. avg. (of 9) = 0.357663
fft 1: mflops = 46.7187 (norm. = 0.351485), norm. avg. (of 9) = 0.353307
fft 2: mflops = 41.0312 (norm. = 0.308696), norm. avg. (of 9) = 0.247388
fft 3: mflops = 17.0963 (norm. = 0.128623), norm. avg. (of 9) = 0.0820627
fft 4: mflops = 49.9322 (norm. = 0.375661), norm. avg. (of 9) = 0.232245
fft 5: mflops = 8.86953 (norm. = 0.0667293), norm. avg. (of 9) = 0.059291
fft 6: mflops = 37.7487 (norm. = 0.284), norm. avg. (of 9) = 0.198487
fft 7: mflops = 33.2295 (norm. = 0.25), norm. avg. (of 9) = 0.164135
fft 8: mflops = 25.5059 (norm. = 0.191892), norm. avg. (of 9) = 0.164448
fft 9: mflops = 114.39 (norm. = 0.860606), norm. avg. (of 9) = 0.456269
fft 10: mflops = 117.965 (norm. = 0.8875), norm. avg. (of 9) = 0.425243
fft 11: mflops = 28.0869 (norm. = 0.21131), norm. avg. (of 8) = 0.159259
fft 12: mflops = 56.5101 (norm. = 0.42515), norm. avg. (of 9) = 0.374168
fft 13: mflops = 55.1882 (norm. = 0.415205), norm. avg. (of 9) = 0.381316
fft 14: mflops = 93.4375 (norm. = 0.70297), norm. avg. (of 9) = 0.78935
fft 15: mflops = 90.7422 (norm. = 0.682692), norm. avg. (of 9) = 0.707916
fft 16: mflops = 65.536 (norm. = 0.493056), norm. avg. (of 9) = 0.757371
fft 17: mflops = 87.3813 (norm. = 0.657407), norm. avg. (of 7) = 0.523023
fft 18: mflops = 41.0312 (norm. = 0.308696), norm. avg. (of 9) = 0.217646
fft 19: mflops = 48.8973 (norm. = 0.367876), norm. avg. (of 9) = 0.22077
fft 20: mflops = 48.6453 (norm. = 0.365979), norm. avg. (of 9) = 0.215696
fft 21: mflops = 44.939 (norm. = 0.338095), norm. avg. (of 9) = 0.516509
fft 22: mflops = 46.2607 (norm. = 0.348039), norm. avg. (of 8) = 0.276933
fft 23: mflops = 63.7648 (norm. = 0.47973), norm. avg. (of 8) = 0.345522
fft 24: mflops = 67.8934 (norm. = 0.510791), norm. avg. (of 8) = 0.369793
fft 25: mflops = 38.0532 (norm. = 0.28629), norm. avg. (of 8) = 0.182433
fft 26: mflops = 24.8347 (norm. = 0.186842), norm. avg. (of 9) = 0.114116
fft 27: mflops = 26.8102 (norm. = 0.201705), norm. avg. (of 9) = 0.128015
fft 28: mflops = 66.459 (norm. = 0.5), norm. avg. (of 9) = 0.272302
fft 29: mflops = 49.4093 (norm. = 0.371728), norm. avg. (of 9) = 0.206173
fft 30: mflops = 132.918 (norm. = 1), norm. avg. (of 9) = 0.75162
fft 31: mflops = 104.278 (norm. = 0.78453), norm. avg. (of 9) = 0.593221
fft 32: mflops = 44.515 (norm. = 0.334906), norm. avg. (of 6) = 0.43677
fft 33: mflops = 36.2969 (norm. = 0.273077), norm. avg. (of 8) = 0.153569
fft 34: mflops = 13.4817 (norm. = 0.101429), norm. avg. (of 8) = 0.103679
fft 35: mflops = 29.1271 (norm. = 0.219136), norm. avg. (of 9) = 0.15344
fft 36: mflops = 60.4948 (norm. = 0.455128), norm. avg. (of 9) = 0.268034
fft 37: mflops = 89.03 (norm. = 0.669811), norm. avg. (of 9) = 0.432025
fft 38: mflops = 23.9522 (norm. = 0.180203), norm. avg. (of 9) = 0.155033
fft 39: mflops = 57.8968 (norm. = 0.435583), norm. avg. (of 9) = 0.274122
fft 40: mflops = 35.7469 (norm. = 0.268939), norm. avg. (of 9) = 0.194261
fft 41: mflops = 6.08066 (norm. = 0.0457474), norm. avg. (of 9) = 0.0469681
Benchmarking for array size = 1024 (power of 2):
0. Arndt DIF: elapsed time t=1.98 s, 2048 iters, t-(init.)=1.93 s
t(norm)=0.0920296, mflops=54..3304 (err=5.2e-16)
1. Arndt DIT: elapsed time t=1.92 s, 2048 iters, t-(init.)=1.87 s
t(norm)=0.0891685, mflops=56.0736 (err=4.9e-16)
2. Arndt Split-Radix: elapsed time t=1.24 s, 1024 iters, t-(init.)=1.22 s
t(norm)=0.116348, mflops=42.9744 (err=5.1e-16)
3. Arndt 4-step: elapsed time t=1.39 s, 512 iters, t-(init.)=1.37 s
t(norm)=0.261307, mflops=19.1346 (err=4.4e-16)
4. Bailey: elapsed time t=1.01 s, 512 iters, t-(init.)=0.99 s
t(norm)=0.188828, mflops=26.4792 (err=5.6e-16)
5. Beauregard: elapsed time t=1.51 s, 256 iters, t-(init.)=1.5 s
t(norm)=0.572205, mflops=8.73813 (err=5.1e-16)
6. Bergland: elapsed time t=1.39 s, 1024 iters, t-(init.)=1.36 s
t(norm)=0.1297, mflops=38.5506 (err=5.0e-16)
7. Brenner: elapsed time t=1.56 s, 1024 iters, t-(init.)=1.53 s
t(norm)=0.145912, mflops=34.2672 (err=5.1e-16)
8. Burrus: elapsed time t=1.95 s, 1024 iters, t-(init.)=1.93 s
t(norm)=0.184059, mflops=27.1652 (err=5.2e-16)
9. CWP (min N) (N=1040): elapsed time t=1.89 s, 4096 iters, t-(init.)=1.76 s
t(norm)=0.0419617, mflops=119.156
10. CWP (best N) (N=1040): elapsed time t=1.9 s, 4096 iters, t-(init.)=1.78
s
t(norm)=0.0424385, mflops=117.818
11. Edelblute: elapsed time t=1.77 s, 1024 iters, t-(init.)=1.74 s
t(norm)=0.165939, mflops=30.1315 (err=5.2e-16)
12. FFTPACK: elapsed time t=1.48 s, 1024 iters, t-(init.)=1.45 s
t(norm)=0.138283, mflops=36.1578 (err=4.9e-16)
13. FFTPACK (f2c): elapsed time t=1.3 s, 1024 iters, t-(init.)=1.27 s
t(norm)=0.121117, mflops=41.2825 (err=4.7e-16)
FFTW_MEASURE plan: (cost = 6.250000e-04)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 2
FFTW_TWIDDLE 2
FFTW_TWIDDLE 4
FFTW_NOTW 8
14. FFTW: elapsed time t=1.27 s, 2048 iters, t-(init.)=1.21 s
t(norm)=0.0576973, mflops=86.6592 (err=4.9e-16)
FFTW_ESTIMATE plan: (cost = 1.126400e+04)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 4
FFTW_NOTW 32
15. FFTW_ESTIMATE: elapsed time t=1.35 s, 2048 iters, t-(init.)=1.3 s
t(norm)=0.0619888, mflops=80.6597 (err=4.8e-16)
16. Frigo-old: elapsed time t=1.97 s, 2048 iters, t-(init.)=1.91 s
t(norm)=0.0910759, mflops=54.8993 (err=4.7e-16)
17. Green: elapsed time t=1.35 s, 2048 iters, t-(init.)=1.3 s
t(norm)=0.0619888, mflops=80.6597 (err=5.9e-16)
18. GSL: elapsed time t=1.79 s, 1024 iters, t-(init.)=1.76 s
t(norm)=0.167847, mflops=29.7891 (err=4.9e-16)
19. GSL DIT: elapsed time t=1.13 s, 1024 iters, t-(init.)=1.11 s
t(norm)=0.105858, mflops=47.2332 (err=5.1e-16)
20. GSL DIF: elapsed time t=1.18 s, 1024 iters, t-(init.)=1.16 s
t(norm)=0.110626, mflops=45.1972 (err=4.9e-16)
21. Krukar: elapsed time t=1.51 s, 1024 iters, t-(init.)=1.49 s
t(norm)=0.142097, mflops=35.1871 (err=5.4e-16)
22. Mayer (Buneman): elapsed time t=1.15 s, 1024 iters, t-(init.)=1.13 s
t(norm)=0.107765, mflops=46.3972 (err=4.6e-16)
23. Mayer (simple): elapsed time t=1.75 s, 2048 iters, t-(init.)=1.7 s
t(norm)=0.0810623, mflops=61.6809
24. Mayer (lookup): elapsed time t=1.65 s, 2048 iters, t-(init.)=1.59 s
t(norm)=0.0758171, mflops=65.9482 (err=4.6e-16)
25. Monro: elapsed time t=1.34 s, 1024 iters, t-(init.)=1.31 s
t(norm)=0.124931, mflops=40.022 (err=8.4e-08)
26. NAPACK (f2c): elapsed time t=1.17 s, 512 iters, t-(init.)=1.15 s
t(norm)=0.219345, mflops=22.7951 (err=1.5e-14)
27. Nielsen: elapsed time t=1.01 s, 512 iters, t-(init.)=1 s
t(norm)=0.190735, mflops=26.2144 (err=6.2e-15)
28. NR (C): elapsed time t=1.74 s, 2048 iters, t-(init.)=1.68 s
t(norm)=0.0801086, mflops=62.4152 (err=5.1e-16)
29. NR (F): elapsed time t=1.09 s, 1024 iters, t-(init.)=1.07 s
t(norm)=0.102043, mflops=48.9989 (err=5.0e-16)
30. Ooura (C): elapsed time t=1.81 s, 4096 iters, t-(init.)=1.7 s
t(norm)=0.0405312, mflops=123.362 (err=4.6e-16)
31. Ooura (F): elapsed time t=1.09 s, 2048 iters, t-(init.)=1.03 s
t(norm)=0.0491142, mflops=101.803 (err=4.6e-16)
32. QFT: elapsed time t=1.37 s, 1024 iters, t-(init.)=1.34 s
t(norm)=0.127792, mflops=39.126 (err=9.5e-16)
33. Ransom: elapsed time t=1.18 s, 1024 iters, t-(init.)=1.16 s
t(norm)=0.110626, mflops=45.1972 (err=1.8e-15)
34. SCIPORT: elapsed time t=1.09 s, 256 iters, t-(init.)=1.09 s
t(norm)=0.415802, mflops=12.025 (err=1.4e-07)
35. Singleton: elapsed time t=1.92 s, 1024 iters, t-(init.)=1.89 s
t(norm)=0.180244, mflops=27.7401 (err=6.0e-16)
36. Singleton (f2c): elapsed time t=1.8 s, 2048 iters, t-(init.)=1.74 s
t(norm)=0.0829697, mflops=60.263 (err=6.0e-16)
37. Sorensen: elapsed time t=1.35 s, 2048 iters, t-(init.)=1.3 s
t(norm)=0.0619888, mflops=80.6597 (err=4.9e-16)
38. Sorensen DIT: elapsed time t=1.07 s, 512 iters, t-(init.)=1.05 s
t(norm)=0.200272, mflops=24.9661 (err=4.9e-16)
39. Temperton: elapsed time t=1.97 s, 2048 iters, t-(init.)=1.91 s
t(norm)=0.0910759, mflops=54.8993 (err=9.8e-08)
40. Temperton (f2c): elapsed time t=1.42 s, 1024 iters, t-(init.)=1.39 s
t(norm)=0.132561, mflops=37.7186 (err=4.8e-16)
41. Valkenburg: elapsed time t=1.12 s, 128 iters, t-(init.)=1.11 s
t(norm)=0.846863, mflops=5.90414 (err=8.2e-16)
Top mflops for N=1024 = 123.362
Normalized results and averages for N=1024:
fft 0: mflops = 54.3304 (norm. = 0.440415), norm. avg. (of 10) = 0.365938
fft 1: mflops = 56.0736 (norm. = 0.454545), norm. avg. (of 10) = 0.363431
fft 2: mflops = 42.9744 (norm. = 0.348361), norm. avg. (of 10) = 0.257485
fft 3: mflops = 19.1346 (norm. = 0.155109), norm. avg. (of 10) = 0.0893674
fft 4: mflops = 26.4792 (norm. = 0.214646), norm. avg. (of 10) = 0.230485
fft 5: mflops = 8.73813 (norm. = 0.0708333), norm. avg. (of 10) = 0.0604452
fft 6: mflops = 38.5506 (norm. = 0.3125), norm. avg. (of 10) = 0.209889
fft 7: mflops = 34.2672 (norm. = 0.277778), norm. avg. (of 10) = 0.175499
fft 8: mflops = 27.1652 (norm. = 0.220207), norm. avg. (of 10) = 0.170024
fft 9: mflops = 119.156 (norm. = 0.965909), norm. avg. (of 10) = 0.507233
fft 10: mflops = 117.818 (norm. = 0.955056), norm. avg. (of 10) = 0.478224
fft 11: mflops = 30.1315 (norm. = 0.244253), norm. avg. (of 9) = 0.168703
fft 12: mflops = 36.1578 (norm. = 0.293103), norm. avg. (of 10) = 0.366062
fft 13: mflops = 41.2825 (norm. = 0.334646), norm. avg. (of 10) = 0.376649
fft 14: mflops = 86.6592 (norm. = 0.702479), norm. avg. (of 10) = 0.780663
fft 15: mflops = 80.6597 (norm. = 0.653846), norm. avg. (of 10) = 0.702509
fft 16: mflops = 54.8993 (norm. = 0.445026), norm. avg. (of 10) = 0.726137
fft 17: mflops = 80.6597 (norm. = 0.653846), norm. avg. (of 8) = 0.539376
fft 18: mflops = 29.7891 (norm. = 0.241477), norm. avg. (of 10) = 0.220029
fft 19: mflops = 47.2332 (norm. = 0.382883), norm. avg. (of 10) = 0.236982
fft 20: mflops = 45.1972 (norm. = 0.366379), norm. avg. (of 10) = 0.230765
fft 21: mflops = 35.1871 (norm. = 0.285235), norm. avg. (of 10) = 0.493381
fft 22: mflops = 46.3972 (norm. = 0.376106), norm. avg. (of 9) = 0.287953
fft 23: mflops = 61.6809 (norm. = 0.5), norm. avg. (of 9) = 0.362686
fft 24: mflops = 65.9482 (norm. = 0.534591), norm. avg. (of 9) = 0.388104
fft 25: mflops = 40.022 (norm. = 0.324427), norm. avg. (of 9) = 0.19821
fft 26: mflops = 22.7951 (norm. = 0.184783), norm. avg. (of 10) = 0.121183
fft 27: mflops = 26.2144 (norm. = 0.2125), norm. avg. (of 10) = 0.136464
fft 28: mflops = 62.4152 (norm. = 0.505952), norm. avg. (of 10) = 0.295667
fft 29: mflops = 48.9989 (norm. = 0.397196), norm. avg. (of 10) = 0.225275
fft 30: mflops = 123.362 (norm. = 1), norm. avg. (of 10) = 0.776458
fft 31: mflops = 101.803 (norm. = 0.825243), norm. avg. (of 10) = 0.616423
fft 32: mflops = 39.126 (norm. = 0.317164), norm. avg. (of 7) = 0.419683
fft 33: mflops = 45.1972 (norm. = 0.366379), norm. avg. (of 9) = 0.177214
fft 34: mflops = 12.025 (norm. = 0.0974771), norm. avg. (of 9) = 0.10299
fft 35: mflops = 27.7401 (norm. = 0.224868), norm. avg. (of 10) = 0.160583
fft 36: mflops = 60.263 (norm. = 0.488506), norm. avg. (of 10) = 0.290081
fft 37: mflops = 80.6597 (norm. = 0.653846), norm. avg. (of 10) = 0.454207
fft 38: mflops = 24.9661 (norm. = 0.202381), norm. avg. (of 10) = 0..159768
fft 39: mflops = 54.8993 (norm. = 0.445026), norm. avg. (of 10) = 0.291212
fft 40: mflops = 37.7186 (norm. = 0.305755), norm. avg. (of 10) = 0.20541
fft 41: mflops = 5.90414 (norm. = 0.0478604), norm. avg. (of 10) = 0.0470573
Benchmarking for array size = 2048 (power of 2):
0. Arndt DIF: elapsed time t=1.02 s, 256 iters, t-(init.)=0.98 s
t(norm)=0.169927, mflops=29.4243 (err=4.6e-16)
1. Arndt DIT: elapsed time t=1.05 s, 256 iters, t-(init.)=1.02 s
t(norm)=0.176863, mflops=28.2704 (err=4.6e-16)
2. Arndt Split-Radix: elapsed time t=1.32 s, 256 iters, t-(init.)=1.29 s
t(norm)=0.22368, mflops=22.3534 (err=4.8e-16)
3. Arndt 4-step: elapsed time t=1.82 s, 256 iters, t-(init.)=1.78 s
t(norm)=0.308644, mflops=16.1999 (err=4.7e-16)
4. Bailey: elapsed time t=1.24 s, 256 iters, t-(init.)=1.2 s
t(norm)=0.208074, mflops=24.0299 (err=5.0e-16)
5. Beauregard: elapsed time t=1.72 s, 128 iters, t-(init.)=1.7 s
t(norm)=0.589544, mflops=8.48113 (err=4.8e-16)
6. Bergland: elapsed time t=1.01 s, 256 iters, t-(init.)=0.97 s
t(norm)=0.168193, mflops=29.7277 (err=4.9e-16)
7. Brenner: elapsed time t=1.17 s, 256 iters, t-(init.)=1.13 s
t(norm)=0.195937, mflops=25.5184 (err=5.0e-16)
8. Burrus: elapsed time t=1.63 s, 256 iters, t-(init.)=1.59 s
t(norm)=0.275699, mflops=18.1357 (err=4.6e-16)
9. CWP (min N) (N=2145): elapsed time t=1.67 s, 1024 iters, t-(init.)=1.51 s
t(norm)=0.0654567, mflops=76.3863
10. CWP (best N) (N=2184): elapsed time t=1.68 s, 1024 iters, t-(init.)=1.52
s
t(norm)=0.0658902, mflops=75.8838
11. Edelblute: elapsed time t=1.59 s, 256 iters, t-(init.)=1.55 s
t(norm)=0.268763, mflops=18.6038 (err=4.7e-16)
12. FFTPACK: elapsed time t=1.6 s, 512 iters, t-(init.)=1.52 s
t(norm)=0.13178, mflops=37.9419 (err=4.5e-16)
13. FFTPACK (f2c): elapsed time t=1.44 s, 512 iters, t-(init.)=1.37 s
t(norm)=0.118776, mflops=42.0961 (err=4.6e-16)
FFTW_MEASURE plan: (cost = 1.562500e-03)
FFTW_TWIDDLE 2
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_TWIDDLE 2
FFTW_NOTW 8
14. FFTW: elapsed time t=1.67 s, 1024 iters, t-(init.)=1.52 s
t(norm)=0.0658902, mflops=75.8838 (err=4.6e-16)
FFTW_ESTIMATE plan: (cost = 1.269760e+04)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 32
15. FFTW_ESTIMATE: elapsed time t=1.93 s, 1024 iters, t-(init.)=1.78 s
t(norm)=0.0771609, mflops=64.7996 (err=4.4e-16)
16. Frigo-old: elapsed time t=1.25 s, 512 iters, t-(init.)=1.17 s
t(norm)=0.101436, mflops=49.292 (err=4.6e-16)
17. Green: elapsed time t=1.29 s, 512 iters, t-(init.)=1.21 s
t(norm)=0.104904, mflops=47.6625 (err=5.8e-16)
18. GSL: elapsed time t=1.92 s, 512 iters, t-(init.)=1.84 s
t(norm)=0.159524, mflops=31.3433 (err=4.7e-16)
19. GSL DIT: elapsed time t=1.33 s, 256 iters, t-(init.)=1.3 s
t(norm)=0.225414, mflops=22.1814 (err=4.5e-16)
20. GSL DIF: elapsed time t=1.3 s, 256 iters, t-(init.)=1.26 s
t(norm)=0.218478, mflops=22.8856 (err=4.4e-16)
21. Krukar: elapsed time t=1.78 s, 512 iters, t-(init.)=1.7 s
t(norm)=0.147386, mflops=33.9245 (err=5.0e-16)
22. Mayer (Buneman): elapsed time t=1.31 s, 512 iters, t-(init.)=1.23 s
t(norm)=0.106638, mflops=46.8875 (err=4.5e-16)
23. Mayer (simple): elapsed time t=1.02 s, 512 iters, t-(init.)=0.94 s
t(norm)=0.0814958, mflops=61.3529
24. Mayer (lookup): elapsed time t=1.08 s, 512 iters, t-(init.)=1.01 s
t(norm)=0.0875646, mflops=57.1007 (err=4.5e-16)
25. Monro: elapsed time t=1.16 s, 256 iters, t-(init.)=1.12 s
t(norm)=0.194203, mflops=25.7463 (err=1.0e-07)
26. NAPACK (f2c): elapsed time t=1.33 s, 256 iters, t-(init.)=1.29 s
t(norm)=0.22368, mflops=22.3534 (err=1.5e-14)
27. Nielsen: elapsed time t=1.41 s, 256 iters, t-(init.)=1.37 s
t(norm)=0.237552, mflops=21.0481 (err=1.1e-14)
28. NR (C): elapsed time t=1.17 s, 256 iters, t-(init.)=1.13 s
t(norm)=0.195937, mflops=25.5184 (err=4.5e-16)
29. NR (F): elapsed time t=1.26 s, 256 iters, t-(init.)=1.22 s
t(norm)=0.211542, mflops=23.6359 (err=4.5e-16)
30. Ooura (C): elapsed time t=1.53 s, 1024 iters, t-(init.)=1.38 s
t(norm)=0.0598214, mflops=83.5821 (err=4.6e-16)
31. Ooura (F): elapsed time t=1.65 s, 1024 iters, t-(init.)=1.5 s
t(norm)=0.0650232, mflops=76.8956 (err=4.6e-16)
32. QFT: elapsed time t=1.68 s, 512 iters, t-(init.)=1.6 s
t(norm)=0.138716, mflops=36.0448 (err=1.2e-15)
33. Ransom: elapsed time t=1.74 s, 512 iters, t-(init.)=1.66 s
t(norm)=0.143918, mflops=34.742 (err=2.1e-15)
34. SCIPORT: elapsed time t=1.21 s, 128 iters, t-(init.)=1.19 s
t(norm)=0.412681, mflops=12.1159 (err=1.6e-07)
35. Singleton: elapsed time t=1.36 s, 256 iters, t-(init.)=1.32 s
t(norm)=0.228882, mflops=21.8453 (err=5.9e-16)
36. Singleton (f2c): elapsed time t=1.95 s, 512 iters, t-(init.)=1.87 s
t(norm)=0.162125, mflops=30.8405 (err=5.9e-16)
37. Sorensen: elapsed time t=1.68 s, 512 iters, t-(init.)=1.6 s
t(norm)=0.138716, mflops=36.0448 (err=4.5e-16)
38. Sorensen DIT: elapsed time t=1.79 s, 256 iters, t-(init.)=1.75 s
t(norm)=0.303442, mflops=16.4776 (err=4.4e-16)
39. Temperton: elapsed time t=1.62 s, 512 iters, t-(init.)=1.54 s
t(norm)=0.133514, mflops=37.4491 (err=1.0e-07)
40. Temperton (f2c): elapsed time t=1.95 s, 512 iters, t-(init.)=1.88 s
t(norm)=0.162992, mflops=30.6764 (err=4.7e-16)
41. Valkenburg: elapsed time t=1.26 s, 64 iters, t-(init.)=1.25 s
t(norm)=0.866977, mflops=5.76717 (err=7.4e-16)
Top mflops for N=2048 = 83.5821
Normalized results and averages for N=2048:
fft 0: mflops = 29.4243 (norm. = 0.352041), norm. avg. (of 11) = 0.364675
fft 1: mflops = 28.2704 (norm. = 0.338235), norm. avg. (of 11) = 0.361141
fft 2: mflops = 22.3534 (norm. = 0.267442), norm. avg. (of 11) = 0.25839
fft 3: mflops = 16.1999 (norm. = 0.19382), norm. avg. (of 11) = 0.0988631
fft 4: mflops = 24.0299 (norm. = 0.2875), norm. avg. (of 11) = 0.235668
fft 5: mflops = 8.48113 (norm. = 0.101471), norm. avg. (of 11) = 0.0641748
fft 6: mflops = 29.7277 (norm. = 0.35567), norm. avg. (of 11) = 0.223142
fft 7: mflops = 25.5184 (norm. = 0.30531), norm. avg. (of 11) = 0.1873
fft 8: mflops = 18.1357 (norm. = 0.216981), norm. avg. (of 11) = 0.174293
fft 9: mflops = 76.3863 (norm. = 0.913907), norm. avg. (of 11) = 0.544203
fft 10: mflops = 75.8838 (norm. = 0.907895), norm. avg. (of 11) = 0.517285
fft 11: mflops = 18.6038 (norm. = 0.222581), norm. avg. (of 10) = 0.174091
fft 12: mflops = 37.9419 (norm. = 0.453947), norm. avg. (of 11) = 0.374052
fft 13: mflops = 42.0961 (norm. = 0.50365), norm. avg. (of 11) = 0.388194
fft 14: mflops = 75.8838 (norm. = 0.907895), norm. avg. (of 11) = 0.792229
fft 15: mflops = 64.7996 (norm. = 0.775281), norm. avg. (of 11) = 0.709125
fft 16: mflops = 49.292 (norm. = 0.589744), norm. avg. (of 11) = 0.713737
fft 17: mflops = 47.6625 (norm. = 0.570248), norm. avg. (of 9) = 0.542806
fft 18: mflops = 31.3433 (norm. = 0.375), norm. avg. (of 11) = 0.234117
fft 19: mflops = 22.1814 (norm. = 0.265385), norm. avg. (of 11) = 0.239564
fft 20: mflops = 22.8856 (norm. = 0.27381), norm. avg. (of 11) = 0.234678
fft 21: mflops = 33.9245 (norm. = 0.405882), norm. avg. (of 11) = 0.485427
fft 22: mflops = 46.8875 (norm. = 0.560976), norm. avg. (of 10) = 0.315255
fft 23: mflops = 61.3529 (norm. = 0.734043), norm. avg. (of 10) = 0.399822
fft 24: mflops = 57.1007 (norm. = 0.683168), norm. avg. (of 10) = 0.417611
fft 25: mflops = 25.7463 (norm. = 0.308036), norm. avg. (of 10) = 0.209193
fft 26: mflops = 22.3534 (norm. = 0.267442), norm. avg. (of 11) = 0.134479
fft 27: mflops = 21.0481 (norm. = 0.251825), norm. avg. (of 11) = 0.146951
fft 28: mflops = 25.5184 (norm. = 0.30531), norm. avg. (of 11) = 0.296544
fft 29: mflops = 23.6359 (norm. = 0.282787), norm. avg. (of 11) = 0.230503
fft 30: mflops = 83.5821 (norm. = 1), norm. avg. (of 11) = 0.79678
fft 31: mflops = 76.8956 (norm. = 0.92), norm. avg. (of 11) = 0.644021
fft 32: mflops = 36.0448 (norm. = 0.43125), norm. avg. (of 8) = 0.421129
fft 33: mflops = 34.742 (norm. = 0.415663), norm. avg. (of 10) = 0.201059
fft 34: mflops = 12..1159 (norm. = 0.144958), norm. avg. (of 10) = 0.107187
fft 35: mflops = 21.8453 (norm. = 0.261364), norm. avg. (of 11) = 0.169745
fft 36: mflops = 30.8405 (norm. = 0.368984), norm. avg. (of 11) = 0.297254
fft 37: mflops = 36.0448 (norm. = 0.43125), norm. avg. (of 11) = 0.45212
fft 38: mflops = 16.4776 (norm. = 0.197143), norm. avg. (of 11) = 0.163166
fft 39: mflops = 37.4491 (norm. = 0.448052), norm. avg. (of 11) = 0.30547
fft 40: mflops = 30.6764 (norm. = 0.367021), norm. avg. (of 11) = 0.220102
fft 41: mflops = 5.76717 (norm. = 0.069), norm. avg. (of 11) = 0.0490521
Benchmarking for array size = 4096 (power of 2):
0. Arndt DIF: elapsed time t=1.14 s, 128 iters, t-(init.)=1.1 s
t(norm)=0.17484, mflops=28.5975 (err=1.0e-15)
1. Arndt DIT: elapsed time t=1.16 s, 128 iters, t-(init.)=1.12 s
t(norm)=0.178019, mflops=28.0869 (err=1.1e-15)
2. Arndt Split-Radix: elapsed time t=1.54 s, 128 iters, t-(init.)=1.5 s
t(norm)=0.238419, mflops=20.9715 (err=1.0e-15)
3. Arndt 4-step: elapsed time t=1.81 s, 128 iters, t-(init.)=1.78 s
t(norm)=0.282923, mflops=17.6726 (err=1.0e-15)
4. Bailey: elapsed time t=1.4 s, 128 iters, t-(init.)=1.36 s
t(norm)=0.216166, mflops=23.1304 (err=1.0e-15)
5. Beauregard: elapsed time t=1.88 s, 64 iters, t-(init.)=1.86 s
t(norm)=0.591278, mflops=8.45626 (err=1.0e-15)
6. Bergland: elapsed time t=1.12 s, 128 iters, t-(init.)=1.08 s
t(norm)=0.171661, mflops=29.1271 (err=1.1e-15)
7. Brenner: elapsed time t=1.24 s, 128 iters, t-(init.)=1.21 s
t(norm)=0.192324, mflops=25.9978 (err=1.1e-15)
8. Burrus: elapsed time t=1.81 s, 128 iters, t-(init.)=1.77 s
t(norm)=0.281334, mflops=17.7725 (err=1.0e-15)
9. CWP (min N) (N=4290): elapsed time t=1.97 s, 512 iters, t-(init.)=1.81 s
t(norm)=0.0719229, mflops=69.5189
10. CWP (best N) (N=4368): elapsed time t=1.8 s, 512 iters, t-(init.)=1.64 s
t(norm)=0.0651677, mflops=76.7251
11. Edelblute: elapsed time t=1.78 s, 128 iters, t-(init.)=1.74 s
t(norm)=0.276566, mflops=18.0789 (err=1.1e-15)
12. FFTPACK: elapsed time t=1.83 s, 256 iters, t-(init.)=1.75 s
t(norm)=0.139078, mflops=35.9512 (err=1.0e-15)
13. FFTPACK (f2c): elapsed time t=1.6 s, 256 iters, t-(init.)=1.52 s
t(norm)=0.120799, mflops=41.3912 (err=1.0e-15)
FFTW_MEASURE plan: (cost = 3.125000e-03)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 2
FFTW_TWIDDLE 8
FFTW_TWIDDLE 4
FFTW_NOTW 8
14. FFTW: elapsed time t=1.77 s, 512 iters, t-(init.)=1.61 s
t(norm)=0.0639757, mflops=78.1547 (err=1.0e-15)
FFTW_ESTIMATE plan: (cost = 2.539520e+04)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_NOTW 32
15. FFTW_ESTIMATE: elapsed time t=1.01 s, 256 iters, t-(init.)=0.93 s
t(norm)=0.0739098, mflops=67.6501 (err=1.1e-15)
16. Frigo-old: elapsed time t=1.54 s, 256 iters, t-(init.)=1.47 s
t(norm)=0.116825, mflops=42.799 (err=1.1e-15)
17. Green: elapsed time t=1.35 s, 256 iters, t-(init.)=1.27 s
t(norm)=0.100931, mflops=49.539 (err=1.1e-15)
18. GSL: elapsed time t=1.11 s, 128 iters, t-(init.)=1.07 s
t(norm)=0.170072, mflops=29.3993 (err=1.0e-15)
19. GSL DIT: elapsed time t=1.48 s, 128 iters, t-(init.)=1.45 s
t(norm)=0.230471, mflops=21.6947 (err=1.0e-15)
20. GSL DIF: elapsed time t=1.45 s, 128 iters, t-(init.)=1.41 s
t(norm)=0.224113, mflops=22.3101 (err=1.0e-15)
21. Krukar: elapsed time t=1.92 s, 256 iters, t-(init.)=1.84 s
t(norm)=0.14623, mflops=34.1927 (err=1.1e-15)
22. Mayer (Buneman): elapsed time t=1.07 s, 128 iters, t-(init.)=1.03 s
t(norm)=0.163714, mflops=30.541 (err=1.1e-15)
23. Mayer (simple): elapsed time t=1.87 s, 256 iters, t-(init.)=1.8 s
t(norm)=0.143051, mflops=34.9525
24. Mayer (lookup): elapsed time t=1.9 s, 256 iters, t-(init.)=1.82 s
t(norm)=0.144641, mflops=34.5684 (err=1.1e-15)
25. Monro: elapsed time t=1.27 s, 128 iters, t-(init.)=1.23 s
t(norm)=0.195503, mflops=25.575 (err=1.1e-07)
26. NAPACK (f2c): elapsed time t=1.37 s, 128 iters, t-(init.)=1.33 s
t(norm)=0.211398, mflops=23.6521 (err=4.5e-14)
27. Nielsen: elapsed time t=1.52 s, 128 iters, t-(init.)=1.48 s
t(norm)=0.23524, mflops=21.2549 (err=2.2e-14)
28. NR (C): elapsed time t=1.31 s, 128 iters, t-(init.)=1.27 s
t(norm)=0.201861, mflops=24.7695 (err=1.0e-15)
29. NR (F): elapsed time t=1.39 s, 128 iters, t-(init.)=1.36 s
t(norm)=0.216166, mflops=23.1304 (err=1.0e-15)
30. Ooura (C): elapsed time t=1.6 s, 512 iters, t-(init.)=1.44 s
t(norm)=0.0572205, mflops=87.3813 (err=1.1e-15)
31. Ooura (F): elapsed time t=1.75 s, 512 iters, t-(init.)=1.6 s
t(norm)=0.0635783, mflops=78.6432 (err=1.1e-15)
32. QFT: elapsed time t=1.02 s, 128 iters, t-(init.)=0.98 s
t(norm)=0.155767, mflops=32.0993 (err=1.9e-15)
33. Ransom: elapsed time t=1.41 s, 256 iters, t-(init.)=1.33 s
t(norm)=0.105699, mflops=47.3042 (err=2.6e-15)
34. SCIPORT: elapsed time t=1.34 s, 64 iters, t-(init.)=1.32 s
t(norm)=0.419617, mflops=11.9156 (err=1.7e-07)
35. Singleton: elapsed time t=1.56 s, 128 iters, t-(init.)=1.53 s
t(norm)=0.243187, mflops=20.5603 (err=1.6e-15)
36. Singleton (f2c): elapsed time t=1.94 s, 256 iters, t-(init.)=1.86 s
t(norm)=0.14782, mflops=33.825 (err=1.6e-15)
37. Sorensen: elapsed time t=1.93 s, 256 iters, t-(init.)=1.85 s
t(norm)=0.147025, mflops=34.0079 (err=1.1e-15)
38. Sorensen DIT: elapsed time t=1.95 s, 128 iters, t-(init.)=1.91 s
t(norm)=0.303586, mflops=16.4698 (err=1.0e-15)
39. Temperton: elapsed time t=1.66 s, 256 iters, t-(init.)=1.59 s
t(norm)=0.126362, mflops=39.5689 (err=1.2e-07)
40. Temperton (f2c): elapsed time t=1.03 s, 128 iters, t-(init.)=0.99 s
t(norm)=0.157356, mflops=31.775 (err=1.0e-15)
41. Valkenburg: elapsed time t=1.37 s, 32 iters, t-(init.)=1.36 s
t(norm)=0.864665, mflops=5.78259 (err=1.1e-15)
Top mflops for N=4096 = 87.3813
Normalized results and averages for N=4096:
fft 0: mflops = 28.5975 (norm. = 0.327273), norm. avg. (of 12) = 0.361558
fft 1: mflops = 28.0869 (norm. = 0.321429), norm. avg. (of 12) = 0.357831
fft 2: mflops = 20.9715 (norm. = 0.24), norm. avg. (of 12) = 0.256858
fft 3: mflops = 17.6726 (norm. = 0.202247), norm. avg. (of 12) = 0.107478
fft 4: mflops = 23.1304 (norm. = 0.264706), norm. avg. (of 12) = 0.238088
fft 5: mflops = 8.45626 (norm. = 0.0967742), norm. avg. (of 12) = 0.0668914
fft 6: mflops = 29.1271 (norm. = 0.333333), norm. avg. (of 12) = 0.232324
fft 7: mflops = 25.9978 (norm. = 0.297521), norm. avg. (of 12) = 0.196485
fft 8: mflops = 17.7725 (norm. = 0.20339), norm. avg. (of 12) = 0.176717
fft 9: mflops = 69.5189 (norm. = 0.79558), norm. avg. (of 12) = 0.565151
fft 10: mflops = 76.7251 (norm. = 0.878049), norm. avg. (of 12) = 0.547349
fft 11: mflops = 18.0789 (norm. = 0.206897), norm. avg. (of 11) = 0.177073
fft 12: mflops = 35.9512 (norm. = 0.411429), norm. avg. (of 12) = 0.377166
fft 13: mflops = 41.3912 (norm. = 0.473684), norm. avg. (of 12) = 0.395319
fft 14: mflops = 78.1547 (norm. = 0.89441), norm. avg. (of 12) = 0.800745
fft 15: mflops = 67.6501 (norm. = 0.774194), norm. avg. (of 12) = 0.714547
fft 16: mflops = 42.799 (norm. = 0.489796), norm. avg. (of 12) = 0.695076
fft 17: mflops = 49.539 (norm. = 0.566929), norm. avg. (of 10) = 0.545218
fft 18: mflops = 29.3993 (norm. = 0.336449), norm. avg. (of 12) = 0.242645
fft 19: mflops = 21.6947 (norm. = 0.248276), norm. avg. (of 12) = 0.24029
fft 20: mflops = 22.3101 (norm. = 0.255319), norm. avg. (of 12) = 0.236398
fft 21: mflops = 34.1927 (norm. = 0.391304), norm. avg. (of 12) = 0.477583
fft 22: mflops = 30.541 (norm. = 0.349515), norm. avg. (of 11) = 0.318369
fft 23: mflops = 34.9525 (norm. = 0.4), norm. avg. (of 11) = 0.399838
fft 24: mflops = 34.5684 (norm. = 0.395604), norm. avg. (of 11) = 0.41561
fft 25: mflops = 25.575 (norm. = 0.292683), norm. avg. (of 11) = 0.216783
fft 26: mflops = 23.6521 (norm. = 0.270677), norm. avg. (of 12) = 0.145829
fft 27: mflops = 21.2549 (norm. = 0.243243), norm. avg. (of 12) = 0.154975
fft 28: mflops = 24.7695 (norm. = 0.283465), norm. avg. (of 12) = 0.295454
fft 29: mflops = 23.1304 (norm. = 0.264706), norm. avg. (of 12) = 0.233354
fft 30: mflops = 87.3813 (norm. = 1), norm. avg. (of 12) = 0.813715
fft 31: mflops = 78.6432 (norm. = 0.9), norm. avg. (of 12) = 0.665353
fft 32: mflops = 32.0993 (norm. = 0.367347), norm. avg. (of 9) = 0.415153
fft 33: mflops = 47.3042 (norm. = 0.541353), norm. avg. (of 11) = 0.231995
fft 34: mflops = 11.9156 (norm. = 0.136364), norm. avg. (of 11) = 0.109839
fft 35: mflops = 20.5603 (norm. = 0.235294), norm. avg. (of 12) = 0.175207
fft 36: mflops = 33.825 (norm. = 0.387097), norm. avg. (of 12) = 0.304741
fft 37: mflops = 34.0079 (norm. = 0.389189), norm. avg. (of 12) = 0.446876
fft 38: mflops = 16.4698 (norm. = 0.188482), norm. avg. (of 12) = 0.165275
fft 39: mflops = 39.5689 (norm. = 0.45283), norm. avg. (of 12) = 0.31775
fft 40: mflops = 31.775 (norm. = 0.363636), norm. avg. (of 12) = 0.232064
fft 41: mflops = 5.78259 (norm. = 0.0661765), norm. avg. (of 12) = 0.0504791
Benchmarking for array size = 8192 (power of 2):
0. Arndt DIF: elapsed time t=1.27 s, 64 iters, t-(init.)=1.24 s
t(norm)=0.181932, mflops=27.4828 (err=1.3e-15)
1. Arndt DIT: elapsed time t=1.3 s, 64 iters, t-(init.)=1.27 s
t(norm)=0.186333, mflops=26.8336 (err=1.3e-15)
2. Arndt Split-Radix: elapsed time t=1.65 s, 64 iters, t-(init.)=1.61 s
t(norm)=0.236218, mflops=21.1669 (err=1.3e-15)
3. Arndt 4-step: elapsed time t=1.04 s, 32 iters, t-(init.)=1.02 s
t(norm)=0.299307, mflops=16.7053 (err=1.4e-15)
4. Bailey: elapsed time t=1.51 s, 64 iters, t-(init.)=1.47 s
t(norm)=0.215677, mflops=23.1828 (err=1.3e-15)
5. Beauregard: elapsed time t=1.03 s, 16 iters, t-(init.)=1.02 s
t(norm)=0.598614, mflops=8.35263 (err=1.3e-15)
6. Bergland: elapsed time t=1.22 s, 64 iters, t-(init.)=1.18 s
t(norm)=0.173129, mflops=28.8803 (err=1.4e-15)
7. Brenner: elapsed time t=1.35 s, 64 iters, t-(init.)=1.31 s
t(norm)=0.192202, mflops=26.0143 (err=1.4e-15)
8. Burrus: elapsed time t=1.93 s, 64 iters, t-(init.)=1.89 s
t(norm)=0.277299, mflops=18.0311 (err=1.3e-15)
9. CWP (min N) (N=8580): elapsed time t=1.01 s, 128 iters, t-(init.)=0.93 s
t(norm)=0.0682244, mflops=73.2876
10. CWP (best N) (N=9240): elapsed time t=1.02 s, 128 iters, t-(init.)=0.94
s
t(norm)=0.068958, mflops=72.5079
11. Edelblute: elapsed time t=1.91 s, 64 iters, t-(init.)=1.88 s
t(norm)=0.275832, mflops=18.127 (err=1.3e-15)
12. FFTPACK: elapsed time t=1.1 s, 64 iters, t-(init.)=1.06 s
t(norm)=0.155522, mflops=32.1497 (err=1.3e-15)
13. FFTPACK (f2c): elapsed time t=1.01 s, 64 iters, t-(init.)=0.98 s
t(norm)=0.143785, mflops=34.7742 (err=1.3e-15)
FFTW_MEASURE plan: (cost = 7.812500e-03)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 2
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 8
14. FFTW: elapsed time t=1.05 s, 128 iters, t-(init.)=0.97 s
t(norm)=0.0711588, mflops=70.2654 (err=1.3e-15)
FFTW_ESTIMATE plan: (cost = 5.079040e+04)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 32
15. FFTW_ESTIMATE: elapsed time t=1.12 s, 128 iters, t-(init.)=1.04 s
t(norm)=0.0762939, mflops=65.536 (err=1.4e-15)
16. Frigo-old: elapsed time t=1.57 s, 128 iters, t-(init.)=1.49 s
t(norm)=0.109306, mflops=45.7432 (err=1.4e-15)
17. Green: elapsed time t=1.5 s, 128 iters, t-(init.)=1.42 s
t(norm)=0.104171, mflops=47.9982 (err=1.4e-15)
18. GSL: elapsed time t=1.27 s, 64 iters, t-(init.)=1.23 s
t(norm)=0.180465, mflops=27.7063 (err=1.3e-15)
19. GSL DIT: elapsed time t=1.6 s, 64 iters, t-(init.)=1.56 s
t(norm)=0.228882, mflops=21.8453 (err=1.3e-15)
20. GSL DIF: elapsed time t=1.58 s, 64 iters, t-(init.)=1.54 s
t(norm)=0.225947, mflops=22.129 (err=1.3e-15)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.16 s, 64 iters, t-(init.)=1.12 s
t(norm)=0.164325, mflops=30.4274 (err=1.3e-15)
23. Mayer (simple): elapsed time t=1.03 s, 64 iters, t-(init.)=1 s
t(norm)=0.146719, mflops=34.0787
24. Mayer (lookup): elapsed time t=1.04 s, 64 iters, t-(init.)=1 s
t(norm)=0.146719, mflops=34.0787 (err=1.4e-15)
25. Monro: elapsed time t=1.41 s, 64 iters, t-(init.)=1.37 s
t(norm)=0.201005, mflops=24.875 (err=1.2e-07)
26. NAPACK (f2c): elapsed time t=1.59 s, 64 iters, t-(init.)=1.55 s
t(norm)=0.227415, mflops=21.9863 (err=4.1e-14)
27. Nielsen: elapsed time t=1.65 s, 64 iters, t-(init.)=1.61 s
t(norm)=0.236218, mflops=21.1669 (err=1.1e-14)
28. NR (C): elapsed time t=1.43 s, 64 iters, t-(init.)=1.39 s
t(norm)=0.20394, mflops=24.5171 (err=1.3e-15)
29. NR (F): elapsed time t=1.52 s, 64 iters, t-(init.)=1.48 s
t(norm)=0.217144, mflops=23.0262 (err=1.3e-15)
30. Ooura (C): elapsed time t=1.77 s, 256 iters, t-(init.)=1.62 s
t(norm)=0.0594212, mflops=84.145 (err=1.4e-15)
31. Ooura (F): elapsed time t=1.92 s, 256 iters, t-(init.)=1.76 s
t(norm)=0.0645564, mflops=77.4516 (err=1.4e-15)
32. QFT: elapsed time t=1.2 s, 64 iters, t-(init.)=1.16 s
t(norm)=0.170194, mflops=29.3782 (err=2.8e-15)
33. Ransom: elapsed time t=1.71 s, 128 iters, t-(init.)=1.64 s
t(norm)=0.12031, mflops=41.5594 (err=3.2e-15)
34. SCIPORT: elapsed time t=1.49 s, 32 iters, t-(init.)=1.47 s
t(norm)=0.431354, mflops=11.5914 (err=1.9e-07)
35. Singleton: elapsed time t=1.67 s, 64 iters, t-(init.)=1.63 s
t(norm)=0.239152, mflops=20.9072 (err=2.0e-15)
36. Singleton (f2c): elapsed time t=1.09 s, 64 iters, t-(init.)=1.05 s
t(norm)=0.154055, mflops=32.4559 (err=2.0e-15)
37. Sorensen: elapsed time t=1.12 s, 64 iters, t-(init.)=1.08 s
t(norm)=0.158457, mflops=31.5544 (err=1.4e-15)
38. Sorensen DIT: elapsed time t=1.05 s, 32 iters, t-(init.)=1.03 s
t(norm)=0.302241, mflops=16.5431 (err=1.3e-15)
39. Temperton: elapsed time t=1.91 s, 128 iters, t-(init.)=1.83 s
t(norm)=0.134248, mflops=37.2445 (err=1.4e-07)
40. Temperton (f2c): elapsed time t=1.18 s, 64 iters, t-(init.)=1.15 s
t(norm)=0.168727, mflops=29.6337 (err=1.3e-15)
41. Valkenburg: elapsed time t=1.51 s, 16 iters, t-(init.)=1.5 s
t(norm)=0.880315, mflops=5.67979 (err=1.4e-15)
Top mflops for N=8192 = 84.145
Normalized results and averages for N=8192:
fft 0: mflops = 27.4828 (norm. = 0.326613), norm. avg. (of 13) = 0.35887
fft 1: mflops = 26.8336 (norm. = 0.318898), norm. avg. (of 13) = 0.354836
fft 2: mflops = 21.1669 (norm. = 0.251553), norm. avg. (of 13) = 0.25645
fft 3: mflops = 16.7053 (norm. = 0.198529), norm. avg. (of 13) = 0.114482
fft 4: mflops = 23.1828 (norm. = 0.27551), norm. avg. (of 13) = 0.240967
fft 5: mflops = 8.35263 (norm. = 0.0992647), norm. avg. (of 13) = 0.0693817
fft 6: mflops = 28.8803 (norm. = 0.34322), norm. avg. (of 13) = 0.240855
fft 7: mflops = 26.0143 (norm. = 0.30916), norm. avg. (of 13) = 0.205153
fft 8: mflops = 18.0311 (norm. = 0.214286), norm. avg. (of 13) = 0.179607
fft 9: mflops = 73.2876 (norm. = 0.870968), norm. avg. (of 13) = 0.588676
fft 10: mflops = 72.5079 (norm. = 0.861702), norm. avg. (of 13) = 0.57153
fft 11: mflops = 18.127 (norm. = 0.215426), norm. avg. (of 12) = 0.180269
fft 12: mflops = 32.1497 (norm. = 0.382075), norm. avg. (of 13) = 0.377544
fft 13: mflops = 34.7742 (norm. = 0.413265), norm. avg. (of 13) = 0.396699
fft 14: mflops = 70.2654 (norm. = 0.835052), norm. avg. (of 13) = 0.803384
fft 15: mflops = 65.536 (norm. = 0.778846), norm. avg. (of 13) = 0.719493
fft 16: mflops = 45.7432 (norm. = 0.543624), norm. avg. (of 13) = 0.683426
fft 17: mflops = 47.9982 (norm. = 0.570423), norm. avg. (of 11) = 0.54751
fft 18: mflops = 27.7063 (norm. = 0.329268), norm. avg. (of 13) = 0.249308
fft 19: mflops = 21.8453 (norm. = 0.259615), norm. avg. (of 13) = 0.241776
fft 20: mflops = 22.129 (norm. = 0.262987), norm. avg. (of 13) = 0.238443
fft 21: mflops = -1 (norm. = -0.0118842), norm. avg. (of 12) = 0.477583
fft 22: mflops = 30.4274 (norm. = 0.361607), norm. avg. (of 12) = 0.321973
fft 23: mflops = 34.0787 (norm. = 0.405), norm. avg. (of 12) = 0.400268
fft 24: mflops = 34.0787 (norm. = 0.405), norm. avg. (of 12) = 0.414726
fft 25: mflops = 24.875 (norm. = 0.29562), norm. avg. (of 12) = 0.223352
fft 26: mflops = 21.9863 (norm. = 0.26129), norm. avg. (of 13) = 0.15471
fft 27: mflops = 21.1669 (norm. = 0.251553), norm. avg. (of 13) = 0.162404
fft 28: mflops = 24.5171 (norm. = 0.291367), norm. avg. (of 13) = 0.295139
fft 29: mflops = 23.0262 (norm. = 0.273649), norm. avg. (of 13) = 0.236453
fft 30: mflops = 84.145 (norm. = 1), norm. avg. (of 13) = 0.828045
fft 31: mflops = 77.4516 (norm. = 0.920455), norm. avg. (of 13) = 0.684976
fft 32: mflops = 29.3782 (norm. = 0.349138), norm. avg. (of 10) = 0.408552
fft 33: mflops = 41.5594 (norm. = 0.493902), norm. avg. (of 12) = 0.253821
fft 34: mflops = 11.5914 (norm. = 0.137755), norm. avg. (of 12) = 0.112166
fft 35: mflops = 20.9072 (norm. = 0.248466), norm. avg. (of 13) = 0.180842
fft 36: mflops = 32.4559 (norm. = 0.385714), norm. avg. (of 13) = 0.31097
fft 37: mflops = 31.5544 (norm. = 0.375), norm. avg. (of 13) = 0.441347
fft 38: mflops = 16.5431 (norm. = 0.196602), norm. avg. (of 13) = 0.167685
fft 39: mflops = 37.2445 (norm. = 0.442623), norm. avg. (of 13) = 0.327356
fft 40: mflops = 29.6337 (norm. = 0.352174), norm. avg. (of 13) = 0.241303
fft 41: mflops = 5.67979 (norm. = 0.0675), norm. avg. (of 13) = 0.0517884
Benchmarking for array size = 16384 (power of 2):
0. Arndt DIF: elapsed time t=1.43 s, 32 iters, t-(init.)=1.39 s
t(norm)=0.189372, mflops=26.403 (err=1.7e-15)
1. Arndt DIT: elapsed time t=1.45 s, 32 iters, t-(init.)=1.41 s
t(norm)=0.192097, mflops=26.0285 (err=1.8e-15)
2. Arndt Split-Radix: elapsed time t=1.85 s, 32 iters, t-(init.)=1.81 s
t(norm)=0.246593, mflops=20.2763 (err=1.8e-15)
3. Arndt 4-step: elapsed time t=1.98 s, 32 iters, t-(init.)=1.94 s
t(norm)=0.264304, mflops=18.9176 (err=1.8e-15)
4. Bailey: elapsed time t=1.03 s, 16 iters, t-(init.)=1.01 s
t(norm)=0.275203, mflops=18.1684 (err=1.7e-15)
5. Beauregard: elapsed time t=1.13 s, 8 iters, t-(init.)=1.12 s
t(norm)=0.610352, mflops=8.192 (err=1.8e-15)
6. Bergland: elapsed time t=1.35 s, 32 iters, t-(init.)=1.31 s
t(norm)=0.178473, mflops=28.0154 (err=1.8e-15)
7. Brenner: elapsed time t=1.49 s, 32 iters, t-(init.)=1.45 s
t(norm)=0.197547, mflops=25.3105 (err=1.8e-15)
8. Burrus: elapsed time t=1.06 s, 16 iters, t-(init.)=1.04 s
t(norm)=0.283378, mflops=17.6443 (err=1.8e-15)
9. CWP (min N) (N=17160): elapsed time t=1.05 s, 64 iters, t-(init.)=0.96 s
t(norm)=0.0653948, mflops=76.4587
10. CWP (best N) (N=17160): elapsed time t=1.06 s, 64 iters, t-(init.)=0.98
s
t(norm)=0.0667572, mflops=74.8983
11. Edelblute: elapsed time t=1.05 s, 16 iters, t-(init.)=1.03 s
t(norm)=0.280653, mflops=17.8156 (err=1.8e-15)
12. FFTPACK: elapsed time t=1.38 s, 32 iters, t-(init.)=1.34 s
t(norm)=0.182561, mflops=27.3882 (err=1.8e-15)
13. FFTPACK (f2c): elapsed time t=1.29 s, 32 iters, t-(init.)=1.25 s
t(norm)=0.170299, mflops=29.3601 (err=1.8e-15)
FFTW_MEASURE plan: (cost = 1.937500e-02)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 2
FFTW_TWIDDLE 8
FFTW_TWIDDLE 4
FFTW_TWIDDLE 2
FFTW_NOTW 16
14. FFTW: elapsed time t=1.25 s, 64 iters, t-(init.)=1.16 s
t(norm)=0.0790187, mflops=63.2761 (err=1.8e-15)
FFTW_ESTIMATE plan: (cost = 1.441792e+05)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 32
15. FFTW_ESTIMATE: elapsed time t=1.49 s, 64 iters, t-(init.)=1.41 s
t(norm)=0.0960486, mflops=52.057 (err=1.8e-15)
16. Frigo-old: elapsed time t=1.12 s, 32 iters, t-(init.)=1.08 s
t(norm)=0.147138, mflops=33.9816 (err=1.9e-15)
17. Green: elapsed time t=1.85 s, 64 iters, t-(init.)=1.77 s
t(norm)=0.120572, mflops=41.4691 (err=1.8e-15)
18. GSL: elapsed time t=1.6 s, 32 iters, t-(init.)=1.56 s
t(norm)=0.212533, mflops=23.5257 (err=1.8e-15)
19. GSL DIT: elapsed time t=1.86 s, 32 iters, t-(init.)=1.82 s
t(norm)=0.247955, mflops=20.1649 (err=1.8e-15)
20. GSL DIF: elapsed time t=1.88 s, 32 iters, t-(init.)=1.84 s
t(norm)=0.25068, mflops=19.9457 (err=1.8e-15)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.29 s, 32 iters, t-(init.)=1.24 s
t(norm)=0.168937, mflops=29.5969 (err=1.8e-15)
23. Mayer (simple): elapsed time t=1.15 s, 32 iters, t-(init.)=1.11 s
t(norm)=0.151225, mflops=33.0632
24. Mayer (lookup): elapsed time t=1.18 s, 32 iters, t-(init.)=1.13 s
t(norm)=0.15395, mflops=32.478 (err=1.9e-15)
25. Monro: elapsed time t=1.57 s, 32 iters, t-(init.)=1.53 s
t(norm)=0.208446, mflops=23.987 (err=1.4e-07)
26. NAPACK (f2c): elapsed time t=1.12 s, 16 iters, t-(init.)=1.1 s
t(norm)=0.299726, mflops=16.6819 (err=2.3e-13)
27. Nielsen: elapsed time t=1.87 s, 32 iters, t-(init.)=1.83 s
t(norm)=0.249318, mflops=20.0547 (err=1.3e-13)
28. NR (C): elapsed time t=1.7 s, 32 iters, t-(init.)=1.66 s
t(norm)=0.226157, mflops=22.1085 (err=1.8e-15)
29. NR (F): elapsed time t=1.78 s, 32 iters, t-(init.)=1.74 s
t(norm)=0.237056, mflops=21.092 (err=1.8e-15)
30. Ooura (C): elapsed time t=1.96 s, 128 iters, t-(init.)=1.79 s
t(norm)=0.060967, mflops=82.0115 (err=1.9e-15)
31. Ooura (F): elapsed time t=1.07 s, 64 iters, t-(init.)=0.99 s
t(norm)=0.0674384, mflops=74.1417 (err=1.9e-15)
32. QFT: elapsed time t=1.56 s, 32 iters, t-(init.)=1.52 s
t(norm)=0.207084, mflops=24.1448 (err=3.8e-15)
33. Ransom: elapsed time t=1.59 s, 64 iters, t-(init.)=1.51 s
t(norm)=0.102861, mflops=48.6095 (err=4.0e-15)
34. SCIPORT: elapsed time t=1 s, 8 iters, t-(init.)=0.99 s
t(norm)=0.539507, mflops=9.26772 (err=2.1e-07)
35. Singleton: elapsed time t=1.88 s, 32 iters, t-(init.)=1.84 s
t(norm)=0.25068, mflops=19.9457 (err=2.5e-15)
36. Singleton (f2c): elapsed time t=1.19 s, 32 iters, t-(init.)=1.14 s
t(norm)=0.155313, mflops=32.1931 (err=2.5e-15)
37. Sorensen: elapsed time t=1.3 s, 32 iters, t-(init.)=1.25 s
t(norm)=0.170299, mflops=29.3601 (err=1.9e-15)
38. Sorensen DIT: elapsed time t=1.15 s, 16 iters, t-(init.)=1.13 s
t(norm)=0.307901, mflops=16.239 (err=1.8e-15)
39. Temperton: elapsed time t=1.04 s, 32 iters, t-(init.)=1 s
t(norm)=0.136239, mflops=36.7002 (err=1.5e-07)
40. Temperton (f2c): elapsed time t=1.31 s, 32 iters, t-(init.)=1.27 s
t(norm)=0.173024, mflops=28.8978 (err=1.8e-15)
41. Valkenburg: elapsed time t=1.7 s, 8 iters, t-(init.)=1.69 s
t(norm)=0.920977, mflops=5.42902 (err=1.7e-15)
Top mflops for N=16384 = 82.0115
Normalized results and averages for N=16384:
fft 0: mflops = 26.403 (norm. = 0.321942), norm. avg. (of 14) = 0.356232
fft 1: mflops = 26.0285 (norm. = 0.317376), norm. avg. (of 14) = 0.352161
fft 2: mflops = 20.2763 (norm. = 0.247238), norm. avg. (of 14) = 0.255792
fft 3: mflops = 18.9176 (norm. = 0.23067), norm. avg. (of 14) = 0.122781
fft 4: mflops = 18.1684 (norm. = 0.221535), norm. avg. (of 14) = 0.239579
fft 5: mflops = 8.192 (norm. = 0.0998884), norm. avg. (of 14) = 0.0715607
fft 6: mflops = 28.0154 (norm. = 0.341603), norm. avg. (of 14) = 0.248051
fft 7: mflops = 25.3105 (norm. = 0.308621), norm. avg. (of 14) = 0.212543
fft 8: mflops = 17.6443 (norm. = 0.215144), norm. avg. (of 14) = 0.182146
fft 9: mflops = 76.4587 (norm. = 0.932292), norm. avg. (of 14) = 0.61322
fft 10: mflops = 74.8983 (norm. = 0.913265), norm. avg. (of 14) = 0.595939
fft 11: mflops = 17.8156 (norm. = 0.217233), norm. avg. (of 13) = 0.183112
fft 12: mflops = 27.3882 (norm. = 0.333955), norm. avg. (of 14) = 0.37443
fft 13: mflops = 29.3601 (norm. = 0.358), norm. avg. (of 14) = 0.393935
fft 14: mflops = 63.2761 (norm. = 0.771552), norm. avg. (of 14) = 0.80111
fft 15: mflops = 52.057 (norm. = 0.634752), norm. avg. (of 14) = 0.71344
fft 16: mflops = 33.9816 (norm. = 0.414352), norm. avg. (of 14) = 0.664206
fft 17: mflops = 41.4691 (norm. = 0.50565), norm. avg. (of 12) = 0.544021
fft 18: mflops = 23.5257 (norm. = 0.286859), norm. avg. (of 14) = 0.25199
fft 19: mflops = 20.1649 (norm. = 0.245879), norm. avg. (of 14) = 0.242069
fft 20: mflops = 19.9457 (norm. = 0.243207), norm. avg. (of 14) = 0.238783
fft 21: mflops = -1 (norm. = -0.0121934), norm. avg. (of 12) = 0.477583
fft 22: mflops = 29.5969 (norm. = 0.360887), norm. avg. (of 13) = 0.324966
fft 23: mflops = 33.0632 (norm. = 0.403153), norm. avg. (of 13) = 0.40049
fft 24: mflops = 32.478 (norm. = 0.396018), norm. avg. (of 13) = 0.413287
fft 25: mflops = 23.987 (norm. = 0.292484), norm. avg. (of 13) = 0.22867
fft 26: mflops = 16.6819 (norm. = 0.203409), norm. avg. (of 14) = 0.158189
fft 27: mflops = 20.0547 (norm. = 0.244536), norm. avg. (of 14) = 0.168271
fft 28: mflops = 22.1085 (norm. = 0.269578), norm. avg. (of 14) = 0.293314
fft 29: mflops = 21.092 (norm. = 0.257184), norm. avg. (of 14) = 0.237934
fft 30: mflops = 82.0115 (norm. = 1), norm. avg. (of 14) = 0.840327
fft 31: mflops = 74.1417 (norm. = 0.90404), norm. avg. (of 14) = 0.700623
fft 32: mflops = 24.1448 (norm. = 0.294408), norm. avg. (of 11) = 0.398175
fft 33: mflops = 48.6095 (norm. = 0.592715), norm. avg. (of 13) = 0.27989
fft 34: mflops = 9.26772 (norm. = 0.113005), norm. avg. (of 13) = 0.11223
fft 35: mflops = 19.9457 (norm. = 0.243207), norm. avg. (of 14) = 0.185297
fft 36: mflops = 32.1931 (norm. = 0.392544), norm. avg. (of 14) = 0.316796
fft 37: mflops = 29.3601 (norm. = 0.358), norm. avg. (of 14) = 0.435394
fft 38: mflops = 16.239 (norm. = 0.198009), norm. avg. (of 14) = 0.169851
fft 39: mflops = 36.7002 (norm. = 0.4475), norm. avg. (of 14) = 0.335938
fft 40: mflops = 28.8978 (norm. = 0.352362), norm. avg. (of 14) = 0.249236
fft 41: mflops = 5.42902 (norm. = 0.0661982), norm. avg. (of 14) = 0.0528177
Benchmarking for array size = 32768 (power of 2):
0. Arndt DIF: elapsed time t=1.72 s, 16 iters, t-(init.)=1.67 s
t(norm)=0.212351, mflops=23.5459 (err=2.1e-15)
1. Arndt DIT: elapsed time t=1.72 s, 16 iters, t-(init.)=1.67 s
t(norm)=0.212351, mflops=23.5459 (err=2.1e-15)
2. Arndt Split-Radix: elapsed time t=1.08 s, 8 iters, t-(init.)=1.06 s
t(norm)=0.269572, mflops=18.5479 (err=2.1e-15)
3. Arndt 4-step: elapsed time t=1.18 s, 8 iters, t-(init.)=1.16 s
t(norm)=0.295003, mflops=16.949 (err=2.1e-15)
4. Bailey: elapsed time t=1.35 s, 8 iters, t-(init.)=1.33 s
t(norm)=0.338236, mflops=14.7826 (err=2.1e-15)
5. Beauregard: elapsed time t=1.25 s, 4 iters, t-(init.)=1.24 s
t(norm)=0.630697, mflops=7.92774 (err=2.2e-15)
6. Bergland: elapsed time t=1.49 s, 16 iters, t-(init.)=1.44 s
t(norm)=0.183105, mflops=27.3067 (err=2.2e-15)
7. Brenner: elapsed time t=1.74 s, 16 iters, t-(init.)=1.69 s
t(norm)=0.214895, mflops=23.2672 (err=2.2e-15)
8. Burrus: elapsed time t=1.22 s, 8 iters, t-(init.)=1.2 s
t(norm)=0.305176, mflops=16.384 (err=2.1e-15)
9. CWP (min N) (N=34320): elapsed time t=1.18 s, 32 iters, t-(init.)=1.08 s
t(norm)=0.0686646, mflops=72.8178
10. CWP (best N) (N=34320): elapsed time t=1.18 s, 32 iters, t-(init.)=1.08
s
t(norm)=0.0686646, mflops=72.8178
11. Edelblute: elapsed time t=1.22 s, 8 iters, t-(init.)=1.2 s
t(norm)=0.305176, mflops=16.384 (err=2.1e-15)
12. FFTPACK: elapsed time t=1.64 s, 16 iters, t-(init.)=1.59 s
t(norm)=0.202179, mflops=24.7306 (err=2.1e-15)
13. FFTPACK (f2c): elapsed time t=1.55 s, 16 iters, t-(init.)=1.5 s
t(norm)=0.190735, mflops=26.2144 (err=2.1e-15)
FFTW_MEASURE plan: (cost = 5.000000e-02)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_TWIDDLE 2
FFTW_NOTW 8
14. FFTW: elapsed time t=1.72 s, 32 iters, t-(init.)=1.63 s
t(norm)=0.103633, mflops=48.2474 (err=2.1e-15)
FFTW_ESTIMATE plan: (cost = 2.883584e+05)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 32
15. FFTW_ESTIMATE: elapsed time t=1.91 s, 32 iters, t-(init.)=1.81 s
t(norm)=0.115077, mflops=43.4493 (err=2.1e-15)
16. Frigo-old: elapsed time t=1.49 s, 16 iters, t-(init.)=1.44 s
t(norm)=0.183105, mflops=27.3067 (err=2.2e-15)
17. Green: elapsed time t=1.04 s, 16 iters, t-(init.)=0.99 s
t(norm)=0.125885, mflops=39.7188 (err=2.2e-15)
18. GSL: elapsed time t=1.9 s, 16 iters, t-(init.)=1.85 s
t(norm)=0.23524, mflops=21.2549 (err=2.2e-15)
19. GSL DIT: elapsed time t=1.1 s, 8 iters, t-(init.)=1.07 s
t(norm)=0.272115, mflops=18.3746 (err=2.2e-15)
20. GSL DIF: elapsed time t=1.13 s, 8 iters, t-(init.)=1.11 s
t(norm)=0.282288, mflops=17.7124 (err=2.2e-15)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.42 s, 16 iters, t-(init.)=1.37 s
t(norm)=0.174205, mflops=28.7019 (err=2.1e-15)
23. Mayer (simple): elapsed time t=1.26 s, 16 iters, t-(init.)=1.21 s
t(norm)=0.153859, mflops=32.4972
24. Mayer (lookup): elapsed time t=1.36 s, 16 iters, t-(init.)=1.31 s
t(norm)=0.166575, mflops=30.0165 (err=2.1e-15)
25. Monro: elapsed time t=1.93 s, 16 iters, t-(init.)=1.88 s
t(norm)=0.239054, mflops=20.9157 (err=1.5e-07)
26. NAPACK (f2c): elapsed time t=1.7 s, 8 iters, t-(init.)=1.68 s
t(norm)=0.427246, mflops=11.7029 (err=5.7e-13)
27. Nielsen: elapsed time t=1.26 s, 8 iters, t-(init.)=1.23 s
t(norm)=0.312805, mflops=15.9844 (err=2.3e-13)
28. NR (C): elapsed time t=1.03 s, 8 iters, t-(init.)=1.01 s
t(norm)=0.256856, mflops=19.4661 (err=2.2e-15)
29. NR (F): elapsed time t=1.06 s, 8 iters, t-(init.)=1.03 s
t(norm)=0.261943, mflops=19.0882 (err=2.2e-15)
30. Ooura (C): elapsed time t=1.29 s, 32 iters, t-(init.)=1.19 s
t(norm)=0.0756582, mflops=66.0867 (err=2.2e-15)
31. Ooura (F): elapsed time t=1.39 s, 32 iters, t-(init.)=1.29 s
t(norm)=0.082016, mflops=60.9637 (err=2.2e-15)
32. QFT: elapsed time t=1.96 s, 16 iters, t-(init.)=1.91 s
t(norm)=0.242869, mflops=20.5872 (err=4.9e-15)
33. Ransom: elapsed time t=1.07 s, 16 iters, t-(init.)=1.02 s
t(norm)=0.1297, mflops=38.5506 (err=3.6e-15)
34. SCIPORT: elapsed time t=1.32 s, 4 iters, t-(init.)=1.31 s
t(norm)=0.6663, mflops=7.50412 (err=2.3e-07)
35. Singleton: elapsed time t=1.07 s, 8 iters, t-(init.)=1.04 s
t(norm)=0.264486, mflops=18.9046 (err=3.2e-15)
36. Singleton (f2c): elapsed time t=1.56 s, 16 iters, t-(init.)=1.52 s
t(norm)=0.193278, mflops=25.8695 (err=3.2e-15)
37. Sorensen: elapsed time t=1.66 s, 16 iters, t-(init.)=1.61 s
t(norm)=0.204722, mflops=24.4234 (err=2.1e-15)
38. Sorensen DIT: elapsed time t=1.33 s, 8 iters, t-(init.)=1.31 s
t(norm)=0.33315, mflops=15.0082 (err=2.1e-15)
39. Temperton: elapsed time t=1.34 s, 16 iters, t-(init.)=1.29 s
t(norm)=0.164032, mflops=30.4819 (err=1.5e-07)
40. Temperton (f2c): elapsed time t=1.65 s, 16 iters, t-(init.)=1.61 s
t(norm)=0.204722, mflops=24.4234 (err=2.2e-15)
41. Valkenburg: elapsed time t=1 s, 2 iters, t-(init.)=0.99 s
t(norm)=1.00708, mflops=4.96485 (err=2.3e-15)
Top mflops for N=32768 = 72.8178
Normalized results and averages for N=32768:
fft 0: mflops = 23.5459 (norm. = 0.323353), norm. avg. (of 15) = 0.35404
fft 1: mflops = 23.5459 (norm. = 0.323353), norm. avg. (of 15) = 0.35024
fft 2: mflops = 18.5479 (norm. = 0.254717), norm. avg. (of 15) = 0.25572
fft 3: mflops = 16.949 (norm. = 0.232759), norm. avg. (of 15) = 0.130113
fft 4: mflops = 14.7826 (norm. = 0.203008), norm. avg. (of 15) = 0.237141
fft 5: mflops = 7.92774 (norm. = 0.108871), norm. avg. (of 15) = 0.0740481
fft 6: mflops = 27.3067 (norm. = 0.375), norm. avg. (of 15) = 0.256514
fft 7: mflops = 23.2672 (norm. = 0.319527), norm. avg. (of 15) = 0.219675
fft 8: mflops = 16.384 (norm. = 0.225), norm. avg. (of 15) = 0.185003
fft 9: mflops = 72.8178 (norm. = 1), norm. avg. (of 15) = 0.639005
fft 10: mflops = 72.8178 (norm. = 1), norm. avg. (of 15) = 0.622877
fft 11: mflops = 16.384 (norm. = 0.225), norm. avg. (of 14) = 0.186104
fft 12: mflops = 24.7306 (norm. = 0.339623), norm. avg. (of 15) = 0.37211
fft 13: mflops = 26.2144 (norm. = 0.36), norm. avg. (of 15) = 0.391673
fft 14: mflops = 48.2474 (norm. = 0.662577), norm. avg. (of 15) = 0.791874
fft 15: mflops = 43.4493 (norm. = 0.596685), norm. avg. (of 15) = 0.705657
fft 16: mflops = 27.3067 (norm. = 0.375), norm. avg. (of 15) = 0.644926
fft 17: mflops = 39.7188 (norm. = 0.545455), norm. avg. (of 13) = 0.544132
fft 18: mflops = 21.2549 (norm. = 0.291892), norm. avg. (of 15) = 0.25465
fft 19: mflops = 18.3746 (norm. = 0.252336), norm. avg. (of 15) = 0.242754
fft 20: mflops = 17.7124 (norm. = 0.243243), norm. avg. (of 15) = 0.239081
fft 21: mflops = -1 (norm. = -0.0137329), norm. avg. (of 12) = 0.477583
fft 22: mflops = 28.7019 (norm. = 0.394161), norm. avg. (of 14) = 0.329908
fft 23: mflops = 32.4972 (norm. = 0.446281), norm. avg. (of 14) = 0.403761
fft 24: mflops = 30.0165 (norm. = 0.412214), norm. avg. (of 14) = 0.41321
fft 25: mflops = 20.9157 (norm. = 0.287234), norm. avg. (of 14) = 0.232853
fft 26: mflops = 11.7029 (norm. = 0.160714), norm. avg. (of 15) = 0.158357
fft 27: mflops = 15.9844 (norm. = 0.219512), norm. avg. (of 15) = 0.171687
fft 28: mflops = 19.4661 (norm. = 0.267327), norm. avg. (of 15) = 0.291581
fft 29: mflops = 19.0882 (norm. = 0.262136), norm. avg. (of 15) = 0.239547
fft 30: mflops = 66.0867 (norm. = 0.907563), norm. avg. (of 15) = 0.84481
fft 31: mflops = 60.9637 (norm. = 0.837209), norm. avg. (of 15) = 0.709729
fft 32: mflops = 20.5872 (norm. = 0.282723), norm. avg. (of 12) = 0.388554
fft 33: mflops = 38.5506 (norm. = 0.529412), norm. avg. (of 14) = 0.297713
fft 34: mflops = 7.50412 (norm. = 0.103053), norm. avg. (of 14) = 0.111575
fft 35: mflops = 18.9046 (norm. = 0.259615), norm. avg. (of 15) = 0.190251
fft 36: mflops = 25.8695 (norm. = 0.355263), norm. avg. (of 15) = 0.319361
fft 37: mflops = 24.4234 (norm. = 0.335404), norm. avg. (of 15) = 0.428728
fft 38: mflops = 15.0082 (norm. = 0.206107), norm. avg. (of 15) = 0.172268
fft 39: mflops = 30.4819 (norm. = 0.418605), norm. avg. (of 15) = 0.341449
fft 40: mflops = 24.4234 (norm. = 0.335404), norm. avg. (of 15) = 0.25498
fft 41: mflops = 4.96485 (norm. = 0.0681818), norm. avg. (of 15) = 0.053842
Benchmarking for array size = 65536 (power of 2):
0. Arndt DIF: elapsed time t=1.31 s, 4 iters, t-(init.)=1.27 s
t(norm)=0.302792, mflops=16.513 (err=4.0e-15)
1. Arndt DIT: elapsed time t=1.31 s, 4 iters, t-(init.)=1.28 s
t(norm)=0.305176, mflops=16.384 (err=4.1e-15)
2. Arndt Split-Radix: elapsed time t=1.68 s, 4 iters, t-(init.)=1.65 s
t(norm)=0.393391, mflops=12.71 (err=4.1e-15)
3. Arndt 4-step: elapsed time t=1.22 s, 4 iters, t-(init.)=1.19 s
t(norm)=0.283718, mflops=17.6231 (err=4.2e-15)
4. Bailey: elapsed time t=1.62 s, 4 iters, t-(init.)=1.58 s
t(norm)=0.376701, mflops=13.2731 (err=4.0e-15)
5. Beauregard: elapsed time t=1.49 s, 2 iters, t-(init.)=1.47 s
t(norm)=0.700951, mflops=7.13317 (err=4.2e-15)
6. Bergland: elapsed time t=1.03 s, 4 iters, t-(init.)=1 s
t(norm)=0.238419, mflops=20.9715 (err=4.3e-15)
7. Brenner: elapsed time t=1.2 s, 4 iters, t-(init.)=1.16 s
t(norm)=0.276566, mflops=18.0789 (err=4.3e-15)
8. Burrus: elapsed time t=1.81 s, 4 iters, t-(init.)=1.78 s
t(norm)=0.424385, mflops=11.7818 (err=4.1e-15)
9. CWP (min N) (N=72072): elapsed time t=1.7 s, 16 iters, t-(init.)=1.54 s
t(norm)=0.0917912, mflops=54.4715
10. CWP (best N) (N=72072): elapsed time t=1.7 s, 16 iters, t-(init.)=1.54 s
t(norm)=0.0917912, mflops=54.4715
11. Edelblute: elapsed time t=1.81 s, 4 iters, t-(init.)=1.78 s
t(norm)=0.424385, mflops=11.7818 (err=4.1e-15)
12. FFTPACK: elapsed time t=1.83 s, 8 iters, t-(init.)=1.76 s
t(norm)=0.209808, mflops=23.8313 (err=4.2e-15)
13. FFTPACK (f2c): elapsed time t=1.73 s, 8 iters, t-(init.)=1.66 s
t(norm)=0.197887, mflops=25.2669 (err=4.2e-15)
FFTW_MEASURE plan: (cost = 1.200000e-01)
FFTW_TWIDDLE 2
FFTW_TWIDDLE 2
FFTW_TWIDDLE 32
FFTW_TWIDDLE 2
FFTW_TWIDDLE 8
FFTW_TWIDDLE 4
FFTW_NOTW 8
14. FFTW: elapsed time t=1.85 s, 16 iters, t-(init.)=1.7 s
t(norm)=0.101328, mflops=49.3448 (err=4.3e-15)
FFTW_ESTIMATE plan: (cost = 5.767168e+05)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_NOTW 32
15. FFTW_ESTIMATE: elapsed time t=1.2 s, 8 iters, t-(init.)=1.13 s
t(norm)=0.134706, mflops=37.1177 (err=4.3e-15)
16. Frigo-old: elapsed time t=1.57 s, 8 iters, t-(init.)=1.5 s
t(norm)=0.178814, mflops=27.962 (err=4.4e-15)
17. Green: elapsed time t=1.55 s, 8 iters, t-(init.)=1.48 s
t(norm)=0.17643, mflops=28.3399 (err=4.3e-15)
18. GSL: elapsed time t=1.03 s, 4 iters, t-(init.)=0.99 s
t(norm)=0.236034, mflops=21.1834 (err=4.2e-15)
19. GSL DIT: elapsed time t=1.71 s, 4 iters, t-(init.)=1.68 s
t(norm)=0.400543, mflops=12.483 (err=4.2e-15)
20. GSL DIF: elapsed time t=1.85 s, 4 iters, t-(init.)=1.82 s
t(norm)=0.433922, mflops=11.5228 (err=4.2e-15)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.75 s, 8 iters, t-(init.)=1.68 s
t(norm)=0.200272, mflops=24.9661 (err=4.2e-15)
23. Mayer (simple): elapsed time t=1.6 s, 8 iters, t-(init.)=1.53 s
t(norm)=0.18239, mflops=27.4138
24. Mayer (lookup): elapsed time t=1.71 s, 8 iters, t-(init.)=1.64 s
t(norm)=0.195503, mflops=25.575 (err=4.2e-15)
25. Monro: elapsed time t=1.42 s, 4 iters, t-(init.)=1.39 s
t(norm)=0.331402, mflops=15.0874 (err=1.6e-07)
26. NAPACK (f2c): elapsed time t=1.82 s, 4 iters, t-(init.)=1.79 s
t(norm)=0.426769, mflops=11.7159 (err=8.9e-13)
27. Nielsen: elapsed time t=1.58 s, 4 iters, t-(init.)=1.55 s
t(norm)=0.369549, mflops=13.53 (err=2.7e-13)
28. NR (C): elapsed time t=1.66 s, 4 iters, t-(init.)=1.63 s
t(norm)=0.388622, mflops=12.866 (err=4.2e-15)
29. NR (F): elapsed time t=1.7 s, 4 iters, t-(init.)=1.67 s
t(norm)=0.398159, mflops=12.5578 (err=4.2e-15)
30. Ooura (C): elapsed time t=1.97 s, 16 iters, t-(init.)=1.83 s
t(norm)=0.109076, mflops=45.8394 (err=4.4e-15)
31. Ooura (F): elapsed time t=1.05 s, 8 iters, t-(init.)=0.98 s
t(norm)=0.116825, mflops=42.799 (err=4.4e-15)
32. QFT: elapsed time t=1.21 s, 4 iters, t-(init.)=1.17 s
t(norm)=0.27895, mflops=17.9244 (err=7.9e-15)
33. Ransom: elapsed time t=1.36 s, 8 iters, t-(init.)=1.29 s
t(norm)=0.15378, mflops=32.514 (err=6.9e-15)
34. SCIPORT: elapsed time t=1.47 s, 2 iters, t-(init.)=1.45 s
t(norm)=0.691414, mflops=7.23156 (err=2.5e-07)
35. Singleton: elapsed time t=1.42 s, 4 iters, t-(init.)=1.38 s
t(norm)=0.329018, mflops=15.1968 (err=5.6e-15)
36. Singleton (f2c): elapsed time t=1.02 s, 4 iters, t-(init.)=0.98 s
t(norm)=0.23365, mflops=21.3995 (err=5.6e-15)
37. Sorensen: elapsed time t=1.21 s, 4 iters, t-(init.)=1.17 s
t(norm)=0.27895, mflops=17.9244 (err=4.2e-15)
38. Sorensen DIT: elapsed time t=1.88 s, 4 iters, t-(init.)=1.85 s
t(norm)=0.441074, mflops=11.336 (err=4.1e-15)
39. Temperton: elapsed time t=1.94 s, 8 iters, t-(init.)=1.87 s
t(norm)=0.222921, mflops=22.4294 (err=1.8e-07)
40. Temperton (f2c): elapsed time t=1.14 s, 4 iters, t-(init.)=1.11 s
t(norm)=0.264645, mflops=18.8933 (err=4.2e-15)
41. Valkenburg: elapsed time t=1.22 s, 1 iters, t-(init.)=1.21 s
t(norm)=1.15395, mflops=4.33296 (err=4.0e-15)
Top mflops for N=65536 = 54.4715
Normalized results and averages for N=65536:
fft 0: mflops = 16.513 (norm. = 0.30315), norm. avg. (of 16) = 0.350859
fft 1: mflops = 16.384 (norm. = 0.300781), norm. avg. (of 16) = 0.347149
fft 2: mflops = 12.71 (norm. = 0.233333), norm. avg. (of 16) = 0.254321
fft 3: mflops = 17.6231 (norm. = 0.323529), norm. avg. (of 16) = 0.142202
fft 4: mflops = 13.2731 (norm. = 0.243671), norm. avg. (of 16) = 0.237549
fft 5: mflops = 7.13317 (norm. = 0.130952), norm. avg. (of 16) = 0.0776046
fft 6: mflops = 20.9715 (norm. = 0.385), norm. avg. (of 16) = 0.264545
fft 7: mflops = 18.0789 (norm. = 0.331897), norm. avg. (of 16) = 0.226689
fft 8: mflops = 11.7818 (norm. = 0.216292), norm. avg. (of 16) = 0.186958
fft 9: mflops = 54.4715 (norm. = 1), norm. avg. (of 16) = 0.661567
fft 10: mflops = 54.4715 (norm. = 1), norm. avg. (of 16) = 0.646447
fft 11: mflops = 11.7818 (norm. = 0.216292), norm. avg. (of 15) = 0.188117
fft 12: mflops = 23.8313 (norm. = 0.4375), norm. avg. (of 16) = 0.376197
fft 13: mflops = 25.2669 (norm. = 0.463855), norm. avg. (of 16) = 0.396184
fft 14: mflops = 49.3448 (norm. = 0.905882), norm. avg. (of 16) = 0.799
fft 15: mflops = 37.1177 (norm. = 0.681416), norm. avg. (of 16) = 0.704142
fft 16: mflops = 27.962 (norm. = 0.513333), norm. avg. (of 16) = 0.636701
fft 17: mflops = 28..3399 (norm. = 0.52027), norm. avg. (of 14) = 0.542427
fft 18: mflops = 21.1834 (norm. = 0.388889), norm. avg. (of 16) = 0.26304
fft 19: mflops = 12.483 (norm. = 0.229167), norm. avg. (of 16) = 0.241905
fft 20: mflops = 11.5228 (norm. = 0.211538), norm. avg. (of 16) = 0.237359
fft 21: mflops = -1 (norm. = -0.0183582), norm. avg. (of 12) = 0.477583
fft 22: mflops = 24.9661 (norm. = 0.458333), norm. avg. (of 15) = 0.33847
fft 23: mflops = 27.4138 (norm. = 0.503268), norm. avg. (of 15) = 0.410395
fft 24: mflops = 25.575 (norm. = 0.469512), norm. avg. (of 15) = 0.416964
fft 25: mflops = 15.0874 (norm. = 0.276978), norm. avg. (of 15) = 0.235795
fft 26: mflops = 11.7159 (norm. = 0.215084), norm. avg. (of 16) = 0.161903
fft 27: mflops = 13.53 (norm. = 0.248387), norm. avg. (of 16) = 0.176481
fft 28: mflops = 12.866 (norm. = 0.236196), norm. avg. (of 16) = 0.28812
fft 29: mflops = 12.5578 (norm. = 0.230539), norm. avg. (of 16) = 0.238984
fft 30: mflops = 45.8394 (norm. = 0.84153), norm. avg. (of 16) = 0.844605
fft 31: mflops = 42.799 (norm. = 0.785714), norm. avg. (of 16) = 0.714478
fft 32: mflops = 17.9244 (norm. = 0.32906), norm. avg. (of 13) = 0.383977
fft 33: mflops = 32.514 (norm. = 0.596899), norm. avg. (of 15) = 0.317658
fft 34: mflops = 7.23156 (norm. = 0.132759), norm. avg. (of 15) = 0.112987
fft 35: mflops = 15.1968 (norm. = 0.278986), norm. avg. (of 16) = 0.195797
fft 36: mflops = 21.3995 (norm. = 0.392857), norm. avg. (of 16) = 0.323954
fft 37: mflops = 17.9244 (norm. = 0.32906), norm. avg. (of 16) = 0.422498
fft 38: mflops = 11.336 (norm. = 0.208108), norm. avg. (of 16) = 0.174508
fft 39: mflops = 22.4294 (norm. = 0.411765), norm. avg. (of 16) = 0.345843
fft 40: mflops = 18.8933 (norm. = 0.346847), norm. avg. (of 16) = 0.260722
fft 41: mflops = 4.33296 (norm. = 0.0795455), norm. avg. (of 16) = 0.0554484
Benchmarking for array size = 131072 (power of 2):
0. Arndt DIF: elapsed time t=1.52 s, 2 iters, t-(init.)=1.49 s
t(norm)=0.334347, mflops=14.9545 (err=2.8e-15)
1. Arndt DIT: elapsed time t=1.52 s, 2 iters, t-(init.)=1.48 s
t(norm)=0.332103, mflops=15.0556 (err=2.8e-15)
2. Arndt Split-Radix: elapsed time t=1 s, 1 iters, t-(init.)=0.98 s
t(norm)=0.439812, mflops=11.3685 (err=2.8e-15)
3. Arndt 4-step: elapsed time t=1.48 s, 2 iters, t-(init.)=1.44 s
t(norm)=0.323127, mflops=15.4738 (err=2.8e-15)
4. Bailey: elapsed time t=1.64 s, 2 iters, t-(init.)=1.61 s
t(norm)=0.361274, mflops=13.8399 (err=2.8e-15)
5. Beauregard: elapsed time t=1.61 s, 1 iters, t-(init.)=1.59 s
t(norm)=0.713573, mflops=7.00699 (err=2.9e-15)
6. Bergland: elapsed time t=1.16 s, 2 iters, t-(init.)=1.12 s
t(norm)=0.251321, mflops=19.8949 (err=2.9e-15)
7. Brenner: elapsed time t=1.4 s, 2 iters, t-(init.)=1.36 s
t(norm)=0.305176, mflops=16.384 (err=2.9e-15)
8. Burrus: elapsed time t=1.07 s, 1 iters, t-(init.)=1.05 s
t(norm)=0.471227, mflops=10.6106 (err=2.8e-15)
9. CWP (min N) (N=144144): elapsed time t=1.82 s, 8 iters, t-(init.)=1.65 s
t(norm)=0.0925625, mflops=54.0176
10. CWP (best N) (N=144144): elapsed time t=1.83 s, 8 iters, t-(init.)=1.66
s
t(norm)=0.0931235, mflops=53.6921
11. Edelblute: elapsed time t=1.07 s, 1 iters, t-(init.)=1.06 s
t(norm)=0.475715, mflops=10.5105 (err=2.8e-15)
12. FFTPACK: elapsed time t=1.09 s, 2 iters, t-(init.)=1.05 s
t(norm)=0.235614, mflops=21.2212 (err=2.9e-15)
13. FFTPACK (f2c): elapsed time t=1.03 s, 2 iters, t-(init.)=0.99 s
t(norm)=0.22215, mflops=22.5073 (err=2.9e-15)
FFTW_MEASURE plan: (cost = 2.600000e-01)
FFTW_TWIDDLE 2
FFTW_TWIDDLE 4
FFTW_TWIDDLE 4
FFTW_TWIDDLE 4
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_TWIDDLE 2
FFTW_NOTW 8
14. FFTW: elapsed time t=1.97 s, 8 iters, t-(init.)=1.82 s
t(norm)=0.102099, mflops=48.972 (err=2.9e-15)
FFTW_ESTIMATE plan: (cost = 1.153434e+06)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 32
15. FFTW_ESTIMATE: elapsed time t=1.24 s, 4 iters, t-(init.)=1.17 s
t(norm)=0.13127, mflops=38.0893 (err=2.9e-15)
16. Frigo-old: elapsed time t=1.78 s, 4 iters, t-(init.)=1.71 s
t(norm)=0.191857, mflops=26.0611 (err=2.8e-15)
17. Green: elapsed time t=1.87 s, 4 iters, t-(init.)=1.8 s
t(norm)=0.201955, mflops=24.758 (err=2.9e-15)
18. GSL: elapsed time t=1.17 s, 2 iters, t-(init.)=1.13 s
t(norm)=0.253565, mflops=19.7188 (err=2.9e-15)
19. GSL DIT: elapsed time t=1.99 s, 2 iters, t-(init.)=1.95 s
t(norm)=0.437568, mflops=11.4268 (err=2.9e-15)
20. GSL DIF: elapsed time t=1.07 s, 1 iters, t-(init.)=1.05 s
t(norm)=0.471227, mflops=10.6106 (err=2.9e-15)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.3 s, 2 iters, t-(init.)=1.27 s
t(norm)=0.28498, mflops=17.5451 (err=2.8e-15)
23. Mayer (simple): elapsed time t=1.23 s, 2 iters, t-(init.)=1.19 s
t(norm)=0.267029, mflops=18.7246
24. Mayer (lookup): elapsed time t=1.27 s, 2 iters, t-(init.)=1.23 s
t(norm)=0.276005, mflops=18.1156 (err=2.8e-15)
25. Monro: elapsed time t=1.68 s, 2 iters, t-(init.)=1.64 s
t(norm)=0.368006, mflops=13.5867 (err=1.7e-07)
26. NAPACK (f2c): elapsed time t=1.99 s, 2 iters, t-(init.)=1.95 s
t(norm)=0.437568, mflops=11.4268 (err=2.1e-12)
27. Nielsen: elapsed time t=1.7 s, 2 iters, t-(init.)=1.66 s
t(norm)=0.372494, mflops=13.423 (err=9.6e-13)
28. NR (C): elapsed time t=1.92 s, 2 iters, t-(init.)=1.88 s
t(norm)=0.421861, mflops=11.8523 (err=2.9e-15)
29. NR (F): elapsed time t=1.96 s, 2 iters, t-(init.)=1.92 s
t(norm)=0.430836, mflops=11.6053 (err=2.9e-15)
30. Ooura (C): elapsed time t=1.16 s, 4 iters, t-(init.)=1.09 s
t(norm)=0.122295, mflops=40.8848 (err=2.8e-15)
31. Ooura (F): elapsed time t=1.23 s, 4 iters, t-(init.)=1.15 s
t(norm)=0.129027, mflops=38.7517 (err=2.8e-15)
32. QFT: elapsed time t=1.45 s, 2 iters, t-(init.)=1.42 s
t(norm)=0.318639, mflops=15.6917 (err=8.6e-15)
33. Ransom: elapsed time t=1.7 s, 4 iters, t-(init.)=1.62 s
t(norm)=0.181759, mflops=27.5089 (err=4.0e-15)
34. SCIPORT: elapsed time t=1.57 s, 1 iters, t-(init.)=1.56 s
t(norm)=0.700109, mflops=7.14174 (err=2.7e-07)
35. Singleton: elapsed time t=1.64 s, 2 iters, t-(init.)=1.6 s
t(norm)=0.35903, mflops=13.9264 (err=4.3e-15)
36. Singleton (f2c): elapsed time t=1.23 s, 2 iters, t-(init.)=1.19 s
t(norm)=0.267029, mflops=18.7246 (err=4.2e-15)
37. Sorensen: elapsed time t=1.37 s, 2 iters, t-(init.)=1.34 s
t(norm)=0.300688, mflops=16.6285 (err=2.8e-15)
38. Sorensen DIT: elapsed time t=1.08 s, 1 iters, t-(init.)=1.06 s
t(norm)=0.475715, mflops=10.5105 (err=2.8e-15)
39. Temperton: elapsed time t=1.18 s, 2 iters, t-(init.)=1.14 s
t(norm)=0.255809, mflops=19.5458 (err=2.0e-07)
40. Temperton (f2c): elapsed time t=1.38 s, 2 iters, t-(init.)=1.35 s
t(norm)=0.302932, mflops=16.5054 (err=2.9e-15)
41. Valkenburg: elapsed time t=2.6 s, 1 iters, t-(init.)=2.59 s
t(norm)=1.16236, mflops=4.30159 (err=3.1e-15)
Top mflops for N=131072 = 54.0176
Normalized results and averages for N=131072:
fft 0: mflops = 14.9545 (norm. = 0.276846), norm. avg. (of 17) = 0.346506
fft 1: mflops = 15.0556 (norm. = 0.278716), norm. avg. (of 17) = 0.343124
fft 2: mflops = 11.3685 (norm. = 0.210459), norm. avg. (of 17) = 0.251741
fft 3: mflops = 15.4738 (norm. = 0.286458), norm. avg. (of 17) = 0.150687
fft 4: mflops = 13.8399 (norm. = 0.256211), norm. avg. (of 17) = 0.238646
fft 5: mflops = 7.00699 (norm. = 0.129717), norm. avg. (of 17) = 0.08067
fft 6: mflops = 19.8949 (norm. = 0.368304), norm. avg. (of 17) = 0.270648
fft 7: mflops = 16.384 (norm. = 0.303309), norm. avg. (of 17) = 0.231196
fft 8: mflops = 10.6106 (norm. = 0.196429), norm. avg. (of 17) = 0.187515
fft 9: mflops = 54.0176 (norm. = 1), norm. avg. (of 17) = 0.681475
fft 10: mflops = 53.6921 (norm. = 0.993976), norm. avg. (of 17) = 0.66689
fft 11: mflops = 10.5105 (norm. = 0.194575), norm. avg. (of 16) = 0.188521
fft 12: mflops = 21.2212 (norm. = 0.392857), norm. avg. (of 17) = 0.377177
fft 13: mflops = 22.5073 (norm. = 0.416667), norm. avg. (of 17) = 0.397389
fft 14: mflops = 48.972 (norm. = 0.906593), norm. avg. (of 17) = 0.805329
fft 15: mflops = 38.0893 (norm. = 0.705128), norm. avg. (of 17) = 0.7042
fft 16: mflops = 26.0611 (norm. = 0.482456), norm. avg. (of 17) = 0.627628
fft 17: mflops = 24.758 (norm. = 0.458333), norm. avg. (of 15) = 0.536821
fft 18: mflops = 19.7188 (norm. = 0.365044), norm. avg. (of 17) = 0.269041
fft 19: mflops = 11.4268 (norm. = 0.211538), norm. avg. (of 17) = 0.240118
fft 20: mflops = 10.6106 (norm. = 0.196429), norm. avg. (of 17) = 0.234952
fft 21: mflops = -1 (norm. = -0.0185125), norm. avg. (of 12) = 0.477583
fft 22: mflops = 17.5451 (norm. = 0.324803), norm. avg. (of 16) = 0.337616
fft 23: mflops = 18.7246 (norm. = 0.346639), norm. avg. (of 16) = 0.40641
fft 24: mflops = 18.1156 (norm. = 0.335366), norm. avg. (of 16) = 0.411864
fft 25: mflops = 13.5867 (norm. = 0.251524), norm. avg. (of 16) = 0.236778
fft 26: mflops = 11.4268 (norm. = 0.211538), norm. avg. (of 17) = 0.164822
fft 27: mflops = 13.423 (norm. = 0.248494), norm. avg. (of 17) = 0.180717
fft 28: mflops = 11.8523 (norm. = 0.219415), norm. avg. (of 17) = 0.284078
fft 29: mflops = 11.6053 (norm. = 0.214844), norm. avg. (of 17) = 0.237564
fft 30: mflops = 40.8848 (norm. = 0.756881), norm. avg. (of 17) = 0.839444
fft 31: mflops = 38.7517 (norm. = 0.717391), norm. avg. (of 17) = 0.71465
fft 32: mflops = 15.6917 (norm. = 0.290493), norm. avg. (of 14) = 0.3773
fft 33: mflops = 27.5089 (norm. = 0.509259), norm. avg. (of 16) = 0.329633
fft 34: mflops = 7.14174 (norm. = 0.132212), norm. avg. (of 16) = 0.114189
fft 35: mflops = 13.9264 (norm. = 0.257813), norm. avg. (of 17) = 0.199445
fft 36: mflops = 18.7246 (norm. = 0.346639), norm. avg. (of 17) = 0.325289
fft 37: mflops = 16.6285 (norm. = 0.307836), norm. avg. (of 17) = 0.415754
fft 38: mflops = 10.5105 (norm. = 0.194575), norm. avg. (of 17) = 0.175689
fft 39: mflops = 19.5458 (norm. = 0.361842), norm. avg. (of 17) = 0.346785
fft 40: mflops = 16.5054 (norm. = 0.305556), norm. avg. (of 17) = 0.263359
fft 41: mflops = 4.30159 (norm. = 0.0796332), norm. avg. (of 17) = 0.0568711
Benchmarking for array size = 262144 (power of 2):
0. Arndt DIF: elapsed time t=1.67 s, 1 iters, t-(init.)=1.63 s
t(norm)=0.345442, mflops=14.4742 (err=6.7e-15)
1. Arndt DIT: elapsed time t=1.66 s, 1 iters, t-(init.)=1.62 s
t(norm)=0.343323, mflops=14.5636 (err=6.7e-15)
2. Arndt Split-Radix: elapsed time t=2.2 s, 1 iters, t-(init.)=2.16 s
t(norm)=0.457764, mflops=10.9227 (err=6.7e-15)
3. Arndt 4-step: elapsed time t=1.32 s, 1 iters, t-(init.)=1.29 s
t(norm)=0.273387, mflops=18.2891 (err=6.8e-15)
4. Bailey: elapsed time t=1.79 s, 1 iters, t-(init.)=1.76 s
t(norm)=0.372993, mflops=13.4051 (err=6.7e-15)
5. Beauregard: elapsed time t=3.42 s, 1 iters, t-(init.)=3.38 s
t(norm)=0.716315, mflops=6.98017 (err=6.8e-15)
6. Bergland: elapsed time t=1.22 s, 1 iters, t-(init.)=1.18 s
t(norm)=0.250075, mflops=19.994 (err=6.8e-15)
7. Brenner: elapsed time t=1.44 s, 1 iters, t-(init.)=1.4 s
t(norm)=0.296699, mflops=16.8521 (err=6.9e-15)
8. Burrus: elapsed time t=2.36 s, 1 iters, t-(init.)=2.32 s
t(norm)=0.491672, mflops=10.1694 (err=6.7e-15)
9. CWP (min N) (N=360360): elapsed time t=1.35 s, 2 iters, t-(init.)=1.25 s
t(norm)=0.132455, mflops=37.7487
10. CWP (best N) (N=360360): elapsed time t=1.35 s, 2 iters, t-(init.)=1.25
s
t(norm)=0.132455, mflops=37.7487
11. Edelblute: elapsed time t=2.35 s, 1 iters, t-(init.)=2.32 s
t(norm)=0.491672, mflops=10.1694 (err=6.7e-15)
12. FFTPACK: elapsed time t=1.12 s, 1 iters, t-(init.)=1.08 s
t(norm)=0.228882, mflops=21.8453 (err=6.8e-15)
13. FFTPACK (f2c): elapsed time t=1.07 s, 1 iters, t-(init.)=1.03 s
t(norm)=0.218285, mflops=22.9058 (err=6.8e-15)
FFTW_MEASURE plan: (cost = 5.100000e-01)
FFTW_TWIDDLE 4
FFTW_TWIDDLE 4
FFTW_TWIDDLE 8
FFTW_TWIDDLE 2
FFTW_TWIDDLE 8
FFTW_TWIDDLE 2
FFTW_TWIDDLE 2
FFTW_TWIDDLE 4
FFTW_NOTW 8
14. FFTW: elapsed time t=1.96 s, 4 iters, t-(init.)=1.81 s
t(norm)=0.0958973, mflops=52.1391 (err=6.8e-15)
FFTW_ESTIMATE plan: (cost = 2.988442e+06)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 32
15. FFTW_ESTIMATE: elapsed time t=1.39 s, 2 iters, t-(init.)=1.32 s
t(norm)=0.139872, mflops=35.7469 (err=6.8e-15)
16. Frigo-old: elapsed time t=1.79 s, 2 iters, t-(init.)=1.71 s
t(norm)=0.181198, mflops=27.5941 (err=6.9e-15)
17. Green: elapsed time t=1.95 s, 2 iters, t-(init.)=1.87 s
t(norm)=0.198152, mflops=25.2331 (err=6.9e-15)
18. GSL: elapsed time t=1.24 s, 1 iters, t-(init.)=1.2 s
t(norm)=0.254313, mflops=19.6608 (err=6.8e-15)
19. GSL DIT: elapsed time t=2.16 s, 1 iters, t-(init.)=2.13 s
t(norm)=0.451406, mflops=11.0765 (err=6.8e-15)
20. GSL DIF: elapsed time t=2.35 s, 1 iters, t-(init.)=2.31 s
t(norm)=0.489553, mflops=10.2134 (err=6.8e-15)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.5 s, 1 iters, t-(init.)=1.46 s
t(norm)=0.309414, mflops=16.1596 (err=6.8e-15)
23. Mayer (simple): elapsed time t=1.44 s, 1 iters, t-(init.)=1.4 s
t(norm)=0.296699, mflops=16.8521
24. Mayer (lookup): elapsed time t=1.48 s, 1 iters, t-(init.)=1.44 s
t(norm)=0.305176, mflops=16.384 (err=6.8e-15)
25. Monro: elapsed time t=1.77 s, 1 iters, t-(init.)=1.73 s
t(norm)=0.366635, mflops=13.6375 (err=1.8e-07)
26. NAPACK (f2c): elapsed time t=2 s, 1 iters, t-(init.)=1.97 s
t(norm)=0.417497, mflops=11.9761 (err=3.7e-12)
27. Nielsen: elapsed time t=1.78 s, 1 iters, t-(init.)=1.74 s
t(norm)=0.368754, mflops=13.5592 (err=2.2e-12)
28. NR (C): elapsed time t=2.08 s, 1 iters, t-(init.)=2.04 s
t(norm)=0.432332, mflops=11.5652 (err=6.8e-15)
29. NR (F): elapsed time t=2.12 s, 1 iters, t-(init.)=2.08 s
t(norm)=0.440809, mflops=11.3428 (err=6.8e-15)
30. Ooura (C): elapsed time t=1.16 s, 2 iters, t-(init.)=1.08 s
t(norm)=0.114441, mflops=43.6907 (err=6.9e-15)
31. Ooura (F): elapsed time t=1.25 s, 2 iters, t-(init.)=1.17 s
t(norm)=0.123978, mflops=40.3298 (err=6.9e-15)
32. QFT: elapsed time t=1.62 s, 1 iters, t-(init.)=1.58 s
t(norm)=0.334846, mflops=14.9323 (err=1.4e-14)
33. Ransom: elapsed time t=1.42 s, 2 iters, t-(init.)=1.34 s
t(norm)=0.141992, mflops=35.2134 (err=8.2e-15)
34. SCIPORT: elapsed time t=3.37 s, 1 iters, t-(init.)=3.33 s
t(norm)=0.705719, mflops=7.08497 (err=2.8e-07)
35. Singleton: elapsed time t=1.7 s, 1 iters, t-(init.)=1.66 s
t(norm)=0.3518, mflops=14.2126 (err=1.0e-14)
36. Singleton (f2c): elapsed time t=1.26 s, 1 iters, t-(init.)=1.23 s
t(norm)=0.260671, mflops=19.1813 (err=1.0e-14)
37. Sorensen: elapsed time t=1.48 s, 1 iters, t-(init.)=1.44 s
t(norm)=0.305176, mflops=16.384 (err=6.8e-15)
38. Sorensen DIT: elapsed time t=2.34 s, 1 iters, t-(init.)=2.31 s
t(norm)=0.489553, mflops=10.2134 (err=6.7e-15)
39. Temperton: elapsed time t=1.2 s, 1 iters, t-(init.)=1.16 s
t(norm)=0.245836, mflops=20.3388 (err=2.0e-07)
40. Temperton (f2c): elapsed time t=1.37 s, 1 iters, t-(init.)=1.33 s
t(norm)=0.281864, mflops=17.7391 (err=6.8e-15)
41. Valkenburg: elapsed time t=5.56 s, 1 iters, t-(init.)=5.52 s
t(norm)=1.16984, mflops=4.27409 (err=6.8e-15)
Top mflops for N=262144 = 52.1391
Normalized results and averages for N=262144:
fft 0: mflops = 14.4742 (norm. = 0.277607), norm. avg. (of 18) = 0.342678
fft 1: mflops = 14.5636 (norm. = 0.279321), norm. avg. (of 18) = 0.339579
fft 2: mflops = 10.9227 (norm. = 0.209491), norm. avg. (of 18) = 0.249394
fft 3: mflops = 18.2891 (norm. = 0.350775), norm. avg. (of 18) = 0.161803
fft 4: mflops = 13.4051 (norm. = 0.257102), norm. avg. (of 18) = 0.239672
fft 5: mflops = 6.98017 (norm. = 0.133876), norm. avg. (of 18) = 0.0836259
fft 6: mflops = 19.994 (norm. = 0.383475), norm. avg. (of 18) = 0.276916
fft 7: mflops = 16.8521 (norm. = 0.323214), norm. avg. (of 18) = 0.236308
fft 8: mflops = 10.1694 (norm. = 0.195043), norm. avg. (of 18) = 0.187933
fft 9: mflops = 37.7487 (norm. = 0.724), norm. avg. (of 18) = 0.683838
fft 10: mflops = 37.7487 (norm. = 0.724), norm. avg. (of 18) = 0.670063
fft 11: mflops = 10.1694 (norm. = 0.195043), norm. avg. (of 17) = 0.188904
fft 12: mflops = 21.8453 (norm. = 0.418981), norm. avg. (of 18) = 0.379499
fft 13: mflops = 22.9058 (norm. = 0.43932), norm. avg. (of 18) = 0.399718
fft 14: mflops = 52.1391 (norm. = 1), norm. avg. (of 18) = 0.816144
fft 15: mflops = 35.7469 (norm. = 0.685606), norm. avg. (of 18) = 0.703167
fft 16: mflops = 27.5941 (norm. = 0.52924), norm. avg. (of 18) = 0.622162
fft 17: mflops = 25.2331 (norm. = 0.483957), norm. avg. (of 16) = 0.533517
fft 18: mflops = 19.6608 (norm. = 0.377083), norm. avg. (of 18) = 0.275043
fft 19: mflops = 11.0765 (norm. = 0.212441), norm. avg. (of 18) = 0.238581
fft 20: mflops = 10.2134 (norm. = 0.195887), norm. avg. (of 18) = 0.232781
fft 21: mflops = -1 (norm. = -0.0191795), norm. avg. (of 12) = 0.477583
fft 22: mflops = 16.1596 (norm. = 0.309932), norm. avg. (of 17) = 0.335987
fft 23: mflops = 16.8521 (norm. = 0.323214), norm. avg. (of 17) = 0.401516
fft 24: mflops = 16.384 (norm. = 0.314236), norm. avg. (of 17) = 0.406121
fft 25: mflops = 13.6375 (norm. = 0.261561), norm. avg. (of 17) = 0.238236
fft 26: mflops = 11.9761 (norm. = 0.229695), norm. avg. (of 18) = 0.168427
fft 27: mflops = 13.5592 (norm. = 0.260057), norm. avg. (of 18) = 0.185125
fft 28: mflops = 11.5652 (norm. = 0.221814), norm. avg. (of 18) = 0.280619
fft 29: mflops = 11.3428 (norm. = 0.217548), norm. avg. (of 18) = 0.236452
fft 30: mflops = 43.6907 (norm. = 0.837963), norm. avg. (of 18) = 0.839362
fft 31: mflops = 40.3298 (norm. = 0.773504), norm. avg. (of 18) = 0.717919
fft 32: mflops = 14.9323 (norm. = 0.286392), norm. avg. (of 15) = 0.371239
fft 33: mflops = 35.2134 (norm. = 0.675373), norm. avg. (of 17) = 0.349971
fft 34: mflops = 7.08497 (norm. = 0.135886), norm. avg. (of 17) = 0.115465
fft 35: mflops = 14.2126 (norm. = 0.27259), norm. avg. (of 18) = 0.203509
fft 36: mflops = 19.1813 (norm. = 0.367886), norm. avg. (of 18) = 0.327655
fft 37: mflops = 16.384 (norm. = 0.314236), norm. avg. (of 18) = 0.410114
fft 38: mflops = 10.2134 (norm. = 0.195887), norm. avg. (of 18) = 0.176811
fft 39: mflops = 20.3388 (norm. = 0.390086), norm. avg. (of 18) = 0.34919
fft 40: mflops = 17.7391 (norm. = 0.340226), norm. avg. (of 18) = 0.267629
fft 41: mflops = 4.27409 (norm. = 0.0819746), norm. avg. (of 18) = 0.0582657
Benchmarking for array size = 524288 (power of 2):
0. Arndt DIF: elapsed time t=3.47 s, 1 iters, t-(init.)=3.39 s
t(norm)=0.340311, mflops=14.6924 (err=1.0e-14)
1. Arndt DIT: elapsed time t=3.47 s, 1 iters, t-(init.)=3.4 s
t(norm)=0.341315, mflops=14.6492 (err=1.0e-14)
2. Arndt Split-Radix: elapsed time t=4.68 s, 1 iters, t-(init.)=4.61 s
t(norm)=0.462783, mflops=10.8042 (err=1.0e-14)
3. Arndt 4-step: elapsed time t=3.19 s, 1 iters, t-(init.)=3.11 s
t(norm)=0.312203, mflops=16.0152 (err=1.0e-14)
4. Bailey: elapsed time t=3.57 s, 1 iters, t-(init.)=3.5 s
t(norm)=0.351354, mflops=14.2307 (err=1.0e-14)
5. Beauregard: elapsed time t=7.23 s, 1 iters, t-(init.)=7.16 s
t(norm)=0.718769, mflops=6.95634 (err=1.0e-14)
6. Bergland: elapsed time t=2.66 s, 1 iters, t-(init.)=2.59 s
t(norm)=0.260002, mflops=19.2306 (err=1.0e-14)
7. Brenner: elapsed time t=3.13 s, 1 iters, t-(init.)=3.05 s
t(norm)=0.30618, mflops=16.3303 (err=1.0e-14)
8. Burrus: elapsed time t=4.99 s, 1 iters, t-(init.)=4.92 s
t(norm)=0.493903, mflops=10.1234 (err=1.0e-14)
9. CWP (min N) (N=720720): elapsed time t=1.37 s, 1 iters, t-(init.)=1.26 s
t(norm)=0.126487, mflops=39.5297
10. CWP (best N) (N=720720): elapsed time t=1.37 s, 1 iters, t-(init.)=1.26
s
t(norm)=0.126487, mflops=39.5297
11. Edelblute: elapsed time t=4.99 s, 1 iters, t-(init.)=4.92 s
t(norm)=0.493903, mflops=10.1234 (err=1.0e-14)
12. FFTPACK: elapsed time t=2.29 s, 1 iters, t-(init.)=2.22 s
t(norm)=0.222859, mflops=22.4357 (err=1.0e-14)
13. FFTPACK (f2c): elapsed time t=2.14 s, 1 iters, t-(init.)=2.07 s
t(norm)=0.207801, mflops=24.0615 (err=1.0e-14)
FFTW_MEASURE plan: (cost = 1.170000e+00)
FFTW_TWIDDLE 4
FFTW_TWIDDLE 4
FFTW_TWIDDLE 8
FFTW_TWIDDLE 2
FFTW_TWIDDLE 2
FFTW_TWIDDLE 2
FFTW_TWIDDLE 32
FFTW_TWIDDLE 2
FFTW_NOTW 8
14. FFTW: elapsed time t=1.11 s, 1 iters, t-(init.)=1.03 s
t(norm)=0.103398, mflops=48.3567 (err=1.0e-14)
FFTW_ESTIMATE plan: (cost = 5.976883e+06)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 32
15. FFTW_ESTIMATE: elapsed time t=1.48 s, 1 iters, t-(init.)=1.41 s
t(norm)=0.141545, mflops=35.3244 (err=1.0e-14)
16. Frigo-old: elapsed time t=2.06 s, 1 iters, t-(init.)=1.98 s
t(norm)=0.198766, mflops=25.1552 (err=1.0e-14)
17. Green: elapsed time t=2.1 s, 1 iters, t-(init.)=2.02 s
t(norm)=0.202781, mflops=24.6571 (err=1.0e-14)
18. GSL: elapsed time t=2.53 s, 1 iters, t-(init.)=2.45 s
t(norm)=0.245948, mflops=20.3295 (err=1.0e-14)
19. GSL DIT: elapsed time t=4.56 s, 1 iters, t-(init.)=4.48 s
t(norm)=0.449733, mflops=11.1177 (err=1.0e-14)
20. GSL DIF: elapsed time t=4.95 s, 1 iters, t-(init.)=4.88 s
t(norm)=0.489887, mflops=10.2064 (err=1.0e-14)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=3.11 s, 1 iters, t-(init.)=3.03 s
t(norm)=0.304172, mflops=16.4381 (err=1.0e-14)
23. Mayer (simple): elapsed time t=2.97 s, 1 iters, t-(init.)=2.89 s
t(norm)=0.290118, mflops=17.2344
24. Mayer (lookup): elapsed time t=3.07 s, 1 iters, t-(init.)=3 s
t(norm)=0.30116, mflops=16.6025 (err=1.0e-14)
25. Monro: elapsed time t=3.83 s, 1 iters, t-(init.)=3.76 s
t(norm)=0.377454, mflops=13.2466 (err=2.0e-07)
26. NAPACK (f2c): elapsed time t=4.29 s, 1 iters, t-(init.)=4.22 s
t(norm)=0.423632, mflops=11.8027 (err=8.0e-12)
27. Nielsen: elapsed time t=4.02 s, 1 iters, t-(init.)=3.95 s
t(norm)=0.396528, mflops=12.6095 (err=4.5e-12)
28. NR (C): elapsed time t=4.38 s, 1 iters, t-(init.)=4.3 s
t(norm)=0.431663, mflops=11.5831 (err=1.0e-14)
29. NR (F): elapsed time t=4.46 s, 1 iters, t-(init.)=4.39 s
t(norm)=0.440698, mflops=11.3456 (err=1.0e-14)
30. Ooura (C): elapsed time t=1.27 s, 1 iters, t-(init.)=1.19 s
t(norm)=0.11946, mflops=41.8549 (err=1.0e-14)
31. Ooura (F): elapsed time t=1.35 s, 1 iters, t-(init.)=1.28 s
t(norm)=0.128495, mflops=38.912 (err=1.0e-14)
32. QFT: elapsed time t=3.53 s, 1 iters, t-(init.)=3.45 s
t(norm)=0.346334, mflops=14.4369 (err=1.9e-14)
33. Ransom: elapsed time t=1.8 s, 1 iters, t-(init.)=1.73 s
t(norm)=0.173669, mflops=28.7904 (err=1.0e-14)
34. SCIPORT: elapsed time t=7 s, 1 iters, t-(init.)=6.92 s
t(norm)=0.694676, mflops=7.1976 (err=3.0e-07)
35. Singleton: elapsed time t=3.88 s, 1 iters, t-(init.)=3.8 s
t(norm)=0.38147, mflops=13.1072 (err=1.6e-14)
36. Singleton (f2c): elapsed time t=3.07 s, 1 iters, t-(init.)=2.99 s
t(norm)=0.300156, mflops=16.658 (err=1.6e-14)
37. Sorensen: elapsed time t=3.15 s, 1 iters, t-(init.)=3.07 s
t(norm)=0.308187, mflops=16.2239 (err=1.0e-14)
38. Sorensen DIT: elapsed time t=4.95 s, 1 iters, t-(init.)=4.88 s
t(norm)=0.489887, mflops=10.2064 (err=1.0e-14)
39. Temperton: elapsed time t=2.7 s, 1 iters, t-(init.)=2.63 s
t(norm)=0.264017, mflops=18.9382 (err=2.1e-07)
40. Temperton (f2c): elapsed time t=3.12 s, 1 iters, t-(init.)=3.04 s
t(norm)=0.305176, mflops=16.384 (err=1.0e-14)
41. Valkenburg: elapsed time t=11.94 s, 1 iters, t-(init.)=11.86 s
t(norm)=1.19059, mflops=4.19961 (err=1.0e-14)
Top mflops for N=524288 = 48.3567
Normalized results and averages for N=524288:
fft 0: mflops = 14.6924 (norm. = 0.303835), norm. avg. (of 19) = 0.340634
fft 1: mflops = 14.6492 (norm. = 0.302941), norm. avg. (of 19) = 0.337651
fft 2: mflops = 10.8042 (norm. = 0.223427), norm. avg. (of 19) = 0.248027
fft 3: mflops = 16.0152 (norm. = 0.33119), norm. avg. (of 19) = 0.170719
fft 4: mflops = 14.2307 (norm. = 0.294286), norm. avg. (of 19) = 0.242546
fft 5: mflops = 6.95634 (norm. = 0.143855), norm. avg. (of 19) = 0.0867958
fft 6: mflops = 19.2306 (norm. = 0.397683), norm. avg. (of 19) = 0.283272
fft 7: mflops = 16.3303 (norm. = 0.337705), norm. avg. (of 19) = 0.241645
fft 8: mflops = 10.1234 (norm. = 0.20935), norm. avg. (of 19) = 0.189061
fft 9: mflops = 39.5297 (norm. = 0.81746), norm. avg. (of 19) = 0.69087
fft 10: mflops = 39.5297 (norm. = 0.81746), norm. avg. (of 19) = 0.67782
fft 11: mflops = 10.1234 (norm. = 0.20935), norm. avg. (of 18) = 0.19004
fft 12: mflops = 22.4357 (norm. = 0.463964), norm. avg. (of 19) = 0.383945
fft 13: mflops = 24.0615 (norm. = 0.497585), norm. avg. (of 19) = 0.404869
fft 14: mflops = 48.3567 (norm. = 1), norm. avg. (of 19) = 0.825821
fft 15: mflops = 35.3244 (norm. = 0.730496), norm. avg. (of 19) = 0.704605
fft 16: mflops = 25.1552 (norm. = 0.520202), norm. avg. (of 19) = 0.616796
fft 17: mflops = 24.6571 (norm. = 0.509901), norm. avg. (of 17) = 0.532128
fft 18: mflops = 20.3295 (norm. = 0.420408), norm. avg. (of 19) = 0.282694
fft 19: mflops = 11.1177 (norm. = 0.229911), norm. avg. (of 19) = 0.238124
fft 20: mflops = 10.2064 (norm. = 0.211066), norm. avg. (of 19) = 0.231639
fft 21: mflops = -1 (norm. = -0.0206797), norm. avg. (of 12) = 0.477583
fft 22: mflops = 16.4381 (norm. = 0.339934), norm. avg. (of 18) = 0.336207
fft 23: mflops = 17.2344 (norm. = 0.356401), norm. avg. (of 18) = 0.39901
fft 24: mflops = 16.6025 (norm. = 0.343333), norm. avg. (of 18) = 0.402633
fft 25: mflops = 13.2466 (norm. = 0.273936), norm. avg. (of 18) = 0.240219
fft 26: mflops = 11.8027 (norm. = 0.244076), norm. avg. (of 19) = 0.172408
fft 27: mflops = 12.6095 (norm. = 0.260759), norm. avg. (of 19) = 0.189105
fft 28: mflops = 11.5831 (norm. = 0.239535), norm. avg. (of 19) = 0.278457
fft 29: mflops = 11.3456 (norm. = 0.234624), norm. avg. (of 19) = 0.236356
fft 30: mflops = 41.8549 (norm. = 0.865546), norm. avg. (of 19) = 0.84074
fft 31: mflops = 38.912 (norm. = 0.804687), norm. avg. (of 19) = 0.722486
fft 32: mflops = 14.4369 (norm. = 0.298551), norm. avg. (of 16) = 0.366696
fft 33: mflops = 28.7904 (norm. = 0.595376), norm. avg. (of 18) = 0.363605
fft 34: mflops = 7.1976 (norm. = 0.148844), norm. avg. (of 18) = 0.117319
fft 35: mflops = 13.1072 (norm. = 0.271053), norm. avg. (of 19) = 0.207064
fft 36: mflops = 16.658 (norm. = 0.344482), norm. avg. (of 19) = 0.328541
fft 37: mflops = 16.2239 (norm. = 0.335505), norm. avg. (of 19) = 0.406187
fft 38: mflops = 10.2064 (norm. = 0.211066), norm. avg. (of 19) = 0.178614
fft 39: mflops = 18.9382 (norm. = 0.391635), norm. avg. (of 19) = 0.351424
fft 40: mflops = 16.384 (norm. = 0.338816), norm. avg. (of 19) = 0.271376
fft 41: mflops = 4.19961 (norm. = 0.0868465), norm. avg. (of 19) = 0.05977
Benchmarking for array size = 1048576 (power of 2):
0. Arndt DIF: elapsed time t=7.66 s, 1 iters, t-(init.)=7.51 s
t(norm)=0.358105, mflops=13.9624 (err=4.5e-14)
1. Arndt DIT: elapsed time t=7.64 s, 1 iters, t-(init.)=7.49 s
t(norm)=0.357151, mflops=13.9997 (err=4.5e-14)
2. Arndt Split-Radix: elapsed time t=10.09 s, 1 iters, t-(init.)=9.94 s
t(norm)=0.473976, mflops=10.5491 (err=4.5e-14)
3. Arndt 4-step: elapsed time t=5.67 s, 1 iters, t-(init.)=5.52 s
t(norm)=0.263214, mflops=18.9959 (err=4.5e-14)
4. Bailey: elapsed time t=7.79 s, 1 iters, t-(init.)=7.64 s
t(norm)=0.364304, mflops=13.7248 (err=4.5e-14)
5. Beauregard: elapsed time t=15.24 s, 1 iters, t-(init.)=15.09 s
t(norm)=0.719547, mflops=6.94881 (err=4.7e-14)
6. Bergland: elapsed time t=5.61 s, 1 iters, t-(init.)=5.46 s
t(norm)=0.260353, mflops=19.2047 (err=4.7e-14)
7. Brenner: elapsed time t=6.5 s, 1 iters, t-(init.)=6.35 s
t(norm)=0.302792, mflops=16.513 (err=4.8e-14)
8. Burrus: elapsed time t=10.69 s, 1 iters, t-(init.)=10.54 s
t(norm)=0.502586, mflops=9.94854 (err=4.5e-14)
9. Skipping fft (this transform size is too big for CWP).
10. Skipping fft (this transform size is too big for CWP).
11. Edelblute: elapsed time t=10.64 s, 1 iters, t-(init.)=10.49 s
t(norm)=0.500202, mflops=9.99596 (err=4.5e-14)
12. FFTPACK: elapsed time t=4.86 s, 1 iters, t-(init.)=4.71 s
t(norm)=0.22459, mflops=22.2628 (err=4.7e-14)
13. FFTPACK (f2c): elapsed time t=4.6 s, 1 iters, t-(init.)=4.45 s
t(norm)=0.212193, mflops=23.5635 (err=4.7e-14)
FFTW_MEASURE plan: (cost = 2.570000e+00)
FFTW_TWIDDLE 2
FFTW_TWIDDLE 2
FFTW_TWIDDLE 4
FFTW_TWIDDLE 4
FFTW_TWIDDLE 32
FFTW_TWIDDLE 2
FFTW_TWIDDLE 16
FFTW_NOTW 16
14. FFTW: elapsed time t=2.49 s, 1 iters, t-(init.)=2.34 s
t(norm)=0.11158, mflops=44.8109 (err=4.7e-14)
FFTW_ESTIMATE plan: (cost = 1.195377e+07)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_NOTW 32
15. FFTW_ESTIMATE: elapsed time t=3.55 s, 1 iters, t-(init.)=3.4 s
t(norm)=0.162125, mflops=30.8405 (err=4.8e-14)
16. Frigo-old: elapsed time t=5.61 s, 1 iters, t-(init.)=5.46 s
t(norm)=0.260353, mflops=19.2047 (err=4.8e-14)
17. Skipping fft (Green can't handle this size.).
18. GSL: elapsed time t=5.3 s, 1 iters, t-(init.)=5.14 s
t(norm)=0.245094, mflops=20.4003 (err=4.7e-14)
19. GSL DIT: elapsed time t=9.95 s, 1 iters, t-(init.)=9.8 s
t(norm)=0.4673, mflops=10.6998 (err=4.7e-14)
20. GSL DIF: elapsed time t=10.71 s, 1 iters, t-(init.)=10.56 s
t(norm)=0.50354, mflops=9.9297 (err=4.7e-14)
21. Skipping fft (Krukar can't handle N > 4096).
22. Skipping fft (Mayer (Buneman) can't handle N > 2^19).
23. Mayer (simple): elapsed time t=6.58 s, 1 iters, t-(init.)=6.42 s
t(norm)=0.306129, mflops=16.333
24. Mayer (lookup): elapsed time t=6.76 s, 1 iters, t-(init.)=6.61 s
t(norm)=0.315189, mflops=15.8635 (err=4.5e-14)
25. Monro: elapsed time t=8.17 s, 1 iters, t-(init.)=8.02 s
t(norm)=0.382423, mflops=13.0745 (err=2.0e-07)
26. NAPACK (f2c): elapsed time t=8.67 s, 1 iters, t-(init.)=8.52 s
t(norm)=0.406265, mflops=12.3072 (err=1.5e-11)
27. Nielsen: elapsed time t=8.45 s, 1 iters, t-(init.)=8.3 s
t(norm)=0.395775, mflops=12.6334 (err=8.2e-12)
28. NR (C): elapsed time t=9.53 s, 1 iters, t-(init.)=9.38 s
t(norm)=0.447273, mflops=11.1788 (err=4.7e-14)
29. NR (F): elapsed time t=9.68 s, 1 iters, t-(init.)=9.53 s
t(norm)=0.454426, mflops=11.0029 (err=4.7e-14)
30. Ooura (C): elapsed time t=2.55 s, 1 iters, t-(init.)=2.4 s
t(norm)=0.114441, mflops=43.6907 (err=4.7e-14)
31. Ooura (F): elapsed time t=2.77 s, 1 iters, t-(init.)=2.61 s
t(norm)=0.124454, mflops=40.1753 (err=4.7e-14)
32. QFT: elapsed time t=7.78 s, 1 iters, t-(init.)=7.63 s
t(norm)=0.363827, mflops=13.7428 (err=5.4e-14)
33. Ransom: elapsed time t=3.12 s, 1 iters, t-(init.)=2.97 s
t(norm)=0.141621, mflops=35.3056 (err=5.0e-14)
34. SCIPORT: elapsed time t=15.09 s, 1 iters, t-(init.)=14.94 s
t(norm)=0.712395, mflops=7.01858 (err=3.2e-07)
35. Singleton: elapsed time t=7.77 s, 1 iters, t-(init.)=7.62 s
t(norm)=0.36335, mflops=13.7608 (err=6.3e-14)
36. Singleton (f2c): elapsed time t=5.72 s, 1 iters, t-(init.)=5.57 s
t(norm)=0.265598, mflops=18.8254 (err=6.3e-14)
37. Sorensen: elapsed time t=6.71 s, 1 iters, t-(init.)=6.56 s
t(norm)=0.312805, mflops=15.9844 (err=4.5e-14)
38. Sorensen DIT: elapsed time t=10.62 s, 1 iters, t-(init.)=10.47 s
t(norm)=0.499249, mflops=10.0151 (err=4.5e-14)
39. Temperton: elapsed time t=5.48 s, 1 iters, t-(init.)=5.33 s
t(norm)=0.254154, mflops=19.6731 (err=2.3e-07)
40. Temperton (f2c): elapsed time t=6.32 s, 1 iters, t-(init.)=6.17 s
t(norm)=0.294209, mflops=16.9947 (err=4.7e-14)
41. Valkenburg: elapsed time t=25.44 s, 1 iters, t-(init.)=25.29 s
t(norm)=1.20592, mflops=4.14621 (err=4.7e-14)
Top mflops for N=1048576 = 44.8109
Normalized results and averages for N=1048576:
fft 0: mflops = 13.9624 (norm. = 0.311585), norm. avg. (of 20) = 0.339181
fft 1: mflops = 13.9997 (norm. = 0.312417), norm. avg. (of 20) = 0.336389
fft 2: mflops = 10.5491 (norm. = 0.235412), norm. avg. (of 20) = 0.247396
fft 3: mflops = 18.9959 (norm. = 0.423913), norm. avg. (of 20) = 0.183378
fft 4: mflops = 13.7248 (norm. = 0.306283), norm. avg. (of 20) = 0.245733
fft 5: mflops = 6.94881 (norm. = 0.15507), norm. avg. (of 20) = 0.0902095
fft 6: mflops = 19.2047 (norm. = 0.428571), norm. avg. (of 20) = 0.290537
fft 7: mflops = 16.513 (norm. = 0.368504), norm. avg. (of 20) = 0.247988
fft 8: mflops = 9.94854 (norm. = 0.222011), norm. avg. (of 20) = 0.190708
fft 9: mflops = -1 (norm. = -0.022316), norm. avg. (of 19) = 0.69087
fft 10: mflops = -1 (norm. = -0.022316), norm. avg. (of 19) = 0.67782
fft 11: mflops = 9.99596 (norm. = 0.22307), norm. avg. (of 19) = 0.191778
fft 12: mflops = 22.2628 (norm. = 0.496815), norm. avg. (of 20) = 0.389588
fft 13: mflops = 23.5635 (norm. = 0.525843), norm. avg. (of 20) = 0.410918
fft 14: mflops = 44.8109 (norm. = 1), norm. avg. (of 20) = 0.834529
fft 15: mflops = 30.8405 (norm. = 0.688235), norm. avg. (of 20) = 0.703787
fft 16: mflops = 19.2047 (norm. = 0.428571), norm. avg. (of 20) = 0.607384
fft 17: mflops = -1 (norm. = -0.022316), norm. avg. (of 17) = 0.532128
fft 18: mflops = 20.4003 (norm. = 0.455253), norm. avg. (of 20) = 0.291322
fft 19: mflops = 10.6998 (norm. = 0.238776), norm. avg. (of 20) = 0.238157
fft 20: mflops = 9.9297 (norm. = 0.221591), norm. avg. (of 20) = 0.231136
fft 21: mflops = -1 (norm. = -0.022316), norm. avg. (of 12) = 0.477583
fft 22: mflops = -1 (norm. = -0.022316), norm. avg. (of 18) = 0.336207
fft 23: mflops = 16.333 (norm. = 0.364486), norm. avg. (of 19) = 0.397193
fft 24: mflops = 15.8635 (norm. = 0.354009), norm. avg. (of 19) = 0.400074
fft 25: mflops = 13.0745 (norm. = 0.291771), norm. avg. (of 19) = 0.242932
fft 26: mflops = 12.3072 (norm. = 0.274648), norm. avg. (of 20) = 0.17752
fft 27: mflops = 12.6334 (norm. = 0.281928), norm. avg. (of 20) = 0.193747
fft 28: mflops = 11.1788 (norm. = 0.249467), norm. avg. (of 20) = 0.277007
fft 29: mflops = 11.0029 (norm. = 0.24554), norm. avg. (of 20) = 0.236815
fft 30: mflops = 43.6907 (norm. = 0.975), norm. avg. (of 20) = 0.847453
fft 31: mflops = 40.1753 (norm. = 0.896552), norm. avg. (of 20) = 0.731189
fft 32: mflops = 13.7428 (norm. = 0.306684), norm. avg. (of 17) = 0.363166
fft 33: mflops = 35.3056 (norm. = 0.787879), norm. avg. (of 19) = 0.385935
fft 34: mflops = 7.01858 (norm. = 0.156627), norm. avg. (of 19) = 0.119388
fft 35: mflops = 13.7608 (norm. = 0.307087), norm. avg. (of 20) = 0.212065
fft 36: mflops = 18.8254 (norm. = 0.420108), norm. avg. (of 20) = 0.333119
fft 37: mflops = 15.9844 (norm. = 0.356707), norm. avg. (of 20) = 0.403713
fft 38: mflops = 10.0151 (norm. = 0.223496), norm. avg. (of 20) = 0.180858
fft 39: mflops = 19.6731 (norm. = 0.439024), norm. avg. (of 20) = 0.355804
fft 40: mflops = 16.9947 (norm. = 0.379254), norm. avg. (of 20) = 0.27677
fft 41: mflops = 4.14621 (norm. = 0.0925267), norm. avg. (of 20) = 0.0614078
------------------------------------------------------
@@@@ bench.1d.np2.log
Benchmarking for sizes: 6 (0.000686646 MB) 9 (0.000915527 MB) 12 (0.00114441
MB) 15 (0.00137329 MB) 18 (0.00180054 MB) 24 (0.0022583 MB) 36 (0.0032959
MB) 80 (0.00738525 MB) 108 (0.00994873 MB) 210 (0.0192261 MB) 504 (0.0461426
MB) 1000 (0.091
6748 MB) 1960 (0.179749 MB) 4725 (0.437393 MB) 10368 (0.960205 MB) 27000
(2.48291 MB) 75600 (6.98975 MB) 165375 (15.3664 MB) 362880 (38.6829 MB)
Maximum array size = 720720
Benchmarking FFTs:
0. Brenner
1. CWP (min N)
2. CWP (best N)
3. FFTPACK
4. FFTPACK (f2c)
5. FFTW
6. FFTW_ESTIMATE
7. Frigo-old
8. GSL
9. Nielsen
10. Singleton
11. Singleton (f2c)
12. Temperton
13. Temperton (f2c)
14. Valkenburg

Computing normalized averages (15 transforms).
Benchmarking for array size = 6:
0. Skipping fft (Brenner has a bug for N=3*2^m).
1. CWP (min N): elapsed time t=1.01 s, 262144 iters, t-(init.)=0.94 s
t(norm)=0.231197, mflops=21.6266
2. CWP (best N) (N=15): elapsed time t=1.67 s, 262144 iters, t-(init.)=1.56
s
t(norm)=0.383689, mflops=13.0314
3. FFTPACK: elapsed time t=1.28 s, 524288 iters, t-(init.)=1.16 s
t(norm)=0.142654, mflops=35.05 (err=1.2e-16)
4. FFTPACK (f2c): elapsed time t=1.49 s, 524288 iters, t-(init.)=1.37 s
t(norm)=0.168479, mflops=29.6773 (err=1.5e-16)
FFTW_MEASURE plan: (cost = 9.918213e-07)
FFTW_NOTW 6
5. FFTW: elapsed time t=1.13 s, 1048576 iters, t-(init.)=0.88 s
t(norm)=0.05411, mflops=92.4044 (err=8.7e-17)
FFTW_ESTIMATE plan: (cost = 4.116000e+02)
FFTW_NOTW 6
6. FFTW_ESTIMATE: elapsed time t=1.12 s, 1048576 iters, t-(init.)=0.87 s
t(norm)=0.0534951, mflops=93.4665 (err=8.7e-17)
7. Frigo-old: elapsed time t=1.1 s, 262144 iters, t-(init.)=1.04 s
t(norm)=0.255793, mflops=19.5471 (err=2.6e-16)
8. GSL: elapsed time t=1.81 s, 524288 iters, t-(init.)=1.68 s
t(norm)=0.206602, mflops=24.2012 (err=8.2e-17)
9. Nielsen: elapsed time t=1.63 s, 131072 iters, t-(init.)=1.6 s
t(norm)=0.787054, mflops=6.3528 (err=5.7e-16)
10. Singleton: elapsed time t=1.91 s, 262144 iters, t-(init.)=1.85 s
t(norm)=0.455016, mflops=10.9886 (err=1.2e-16)
11. Singleton (f2c): elapsed time t=1.64 s, 262144 iters, t-(init.)=1.58 s
t(norm)=0.388608, mflops=12.8664 (err=1.2e-16)
12. Temperton: elapsed time t=1.63 s, 262144 iters, t-(init.)=1.57 s
t(norm)=0.386148, mflops=12.9484 (err=3.9e-09)
13. Temperton (f2c): elapsed time t=1.7 s, 262144 iters, t-(init.)=1.64 s
t(norm)=0.403365, mflops=12.3957 (err=2.1e-16)
14. Valkenburg: elapsed time t=1.83 s, 131072 iters, t-(init.)=1.8 s
t(norm)=0.885436, mflops=5.64694 (err=2.4e-16)
Top mflops for N=6 = 93.4665
Normalized results and averages for N=6:
fft 0: mflops = -1 (norm. = -0.010699), norm. avg. (of 0) = -1
fft 1: mflops = 21.6266 (norm. = 0.231383), norm. avg. (of 1) = 0.231383
fft 2: mflops = 13.0314 (norm. = 0.139423), norm. avg. (of 1) = 0.139423
fft 3: mflops = 35.05 (norm. = 0.375), norm. avg. (of 1) = 0.375
fft 4: mflops = 29.6773 (norm. = 0.317518), norm. avg. (of 1) = 0.317518
fft 5: mflops = 92.4044 (norm. = 0.988636), norm. avg. (of 1) = 0.988636
fft 6: mflops = 93.4665 (norm. = 1), norm. avg. (of 1) = 1
fft 7: mflops = 19.5471 (norm. = 0.209135), norm. avg. (of 1) = 0.209135
fft 8: mflops = 24.2012 (norm. = 0.258929), norm. avg. (of 1) = 0.258929
fft 9: mflops = 6.3528 (norm. = 0.0679688), norm. avg. (of 1) = 0.0679688
fft 10: mflops = 10.9886 (norm. = 0.117568), norm. avg. (of 1) = 0.117568
fft 11: mflops = 12.8664 (norm. = 0.137658), norm. avg. (of 1) = 0.137658
fft 12: mflops = 12.9484 (norm. = 0.138535), norm. avg. (of 1) = 0.138535
fft 13: mflops = 12.3957 (norm. = 0.132622), norm. avg. (of 1) = 0.132622
fft 14: mflops = 5.64694 (norm. = 0.0604167), norm. avg. (of 1) = 0.0604167
Benchmarking for array size = 9:
0. Brenner: elapsed time t=1.7 s, 65536 iters, t-(init.)=1.68 s
t(norm)=0.898541, mflops=5.56458 (err=4.8e-16)
1. CWP (min N): elapsed time t=1.16 s, 262144 iters, t-(init.)=1.08 s
t(norm)=0.144408, mflops=34.624
2. CWP (best N) (N=15): elapsed time t=1.67 s, 262144 iters, t-(init.)=1.56
s
t(norm)=0.20859, mflops=23.9705
3. FFTPACK: elapsed time t=1.91 s, 524288 iters, t-(init.)=1.75 s
t(norm)=0.116998, mflops=42.736 (err=1.1e-16)
4. FFTPACK (f2c): elapsed time t=1.05 s, 262144 iters, t-(init.)=0.97 s
t(norm)=0.1297, mflops=38.5505 (err=2.5e-16)
FFTW_MEASURE plan: (cost = 1.678467e-06)
FFTW_NOTW 9
5. FFTW: elapsed time t=1.73 s, 1048576 iters, t-(init.)=1.41 s
t(norm)=0.0471333, mflops=106.082 (err=2.1e-16)
FFTW_ESTIMATE plan: (cost = 4.851000e+02)
FFTW_NOTW 9
6. FFTW_ESTIMATE: elapsed time t=1.7 s, 1048576 iters, t-(init.)=1.39 s
t(norm)=0.0464647, mflops=107.609 (err=2.1e-16)
7. Frigo-old: elapsed time t=1.22 s, 131072 iters, t-(init.)=1.17 s
t(norm)=0.312885, mflops=15.9803 (err=3.1e-16)
8. GSL: elapsed time t=1.72 s, 262144 iters, t-(init.)=1.65 s
t(norm)=0.220624, mflops=22.663 (err=1.7e-16)
9. Nielsen: elapsed time t=1.01 s, 65536 iters, t-(init.)=0.99 s
t(norm)=0.529497, mflops=9.44292 (err=9.6e-16)
10. Singleton: elapsed time t=1.09 s, 131072 iters, t-(init.)=1.05 s
t(norm)=0.280794, mflops=17.8066 (err=1.5e-16)
11. Singleton (f2c): elapsed time t=1.74 s, 262144 iters, t-(init.)=1.66 s
t(norm)=0.221961, mflops=22.5265 (err=1.5e-16)
12. Temperton: elapsed time t=1.05 s, 131072 iters, t-(init.)=1.01 s
t(norm)=0.270097, mflops=18.5119 (err=1.9e-08)
13. Temperton (f2c): elapsed time t=1.05 s, 131072 iters, t-(init.)=1.01 s
t(norm)=0.270097, mflops=18.5119 (err=1.3e-16)
14. Valkenburg: elapsed time t=1.66 s, 65536 iters, t-(init.)=1.64 s
t(norm)=0.877147, mflops=5.7003 (err=4.0e-16)
Top mflops for N=9 = 107.609
Normalized results and averages for N=9:
fft 0: mflops = 5.56458 (norm. = 0.0517113), norm. avg. (of 1) = 0.0517113
fft 1: mflops = 34.624 (norm. = 0.321759), norm. avg. (of 2) = 0.276571
fft 2: mflops = 23.9705 (norm. = 0.222756), norm. avg. (of 2) = 0.18109
fft 3: mflops = 42.736 (norm. = 0.397143), norm. avg. (of 2) = 0.386071
fft 4: mflops = 38.5505 (norm. = 0.358247), norm. avg. (of 2) = 0.337883
fft 5: mflops = 106.082 (norm. = 0.985816), norm. avg. (of 2) = 0.987226
fft 6: mflops = 107.609 (norm. = 1), norm. avg. (of 2) = 1
fft 7: mflops = 15.9803 (norm. = 0.148504), norm. avg. (of 2) = 0.178819
fft 8: mflops = 22.663 (norm. = 0.210606), norm. avg. (of 2) = 0.234767
fft 9: mflops = 9.44292 (norm. = 0.0877525), norm. avg. (of 2) = 0.0778606
fft 10: mflops = 17.8066 (norm. = 0.165476), norm. avg. (of 2) = 0.141522
fft 11: mflops = 22.5265 (norm. = 0.209337), norm. avg. (of 2) = 0.173498
fft 12: mflops = 18.5119 (norm. = 0.17203), norm. avg. (of 2) = 0.155282
fft 13: mflops = 18.5119 (norm. = 0.17203), norm. avg. (of 2) = 0.152326
fft 14: mflops = 5.7003 (norm. = 0.0529726), norm. avg. (of 2) = 0.0566946
Benchmarking for array size = 12:
0. Skipping fft (Brenner has a bug for N=3*2^m).
1. CWP (min N): elapsed time t=1.42 s, 262144 iters, t-(init.)=1.32 s
t(norm)=0.117049, mflops=42.7171
2. CWP (best N) (N=15): elapsed time t=1.67 s, 262144 iters, t-(init.)=1.56
s
t(norm)=0.138331, mflops=36.1452
3. FFTPACK: elapsed time t=1.15 s, 262144 iters, t-(init.)=1.05 s
t(norm)=0.0931073, mflops=53.7015 (err=2.0e-16)
4. FFTPACK (f2c): elapsed time t=1.2 s, 262144 iters, t-(init.)=1.1 s
t(norm)=0.0975409, mflops=51.2605 (err=2.6e-16)
FFTW_MEASURE plan: (cost = 1.983643e-06)
FFTW_NOTW 12
5. FFTW: elapsed time t=1.05 s, 524288 iters, t-(init.)=0.86 s
t(norm)=0.0381296, mflops=131.132 (err=1.4e-16)
FFTW_ESTIMATE plan: (cost = 4.920000e+02)
FFTW_NOTW 12
6. FFTW_ESTIMATE: elapsed time t=1.08 s, 524288 iters, t-(init.)=0.89 s
t(norm)=0.0394597, mflops=126.711 (err=1.4e-16)
7. Frigo-old: elapsed time t=1.07 s, 131072 iters, t-(init.)=1.01 s
t(norm)=0.179121, mflops=27.9142 (err=2.9e-16)
8. GSL: elapsed time t=1.65 s, 262144 iters, t-(init.)=1.56 s
t(norm)=0.138331, mflops=36.1452 (err=3.2e-16)
9. Nielsen: elapsed time t=1.16 s, 65536 iters, t-(init.)=1.14 s
t(norm)=0.404351, mflops=12.3655 (err=6.0e-16)
10. Singleton: elapsed time t=1.45 s, 131072 iters, t-(init.)=1.4 s
t(norm)=0.248286, mflops=20.1381 (err=2.5e-16)
11. Singleton (f2c): elapsed time t=1.2 s, 131072 iters, t-(init.)=1.15 s
t(norm)=0.203949, mflops=24.5159 (err=2.5e-16)
12. Temperton: elapsed time t=1.06 s, 131072 iters, t-(init.)=1.01 s
t(norm)=0.179121, mflops=27.9142 (err=8.2e-09)
13. Temperton (f2c): elapsed time t=1.22 s, 131072 iters, t-(init.)=1.17 s
t(norm)=0.207496, mflops=24.0968 (err=1.7e-16)
14. Valkenburg: elapsed time t=1.23 s, 32768 iters, t-(init.)=1.21 s
t(norm)=0.85836, mflops=5.82506 (err=4.2e-16)
Top mflops for N=12 = 131.132
Normalized results and averages for N=12:
fft 0: mflops = -1 (norm. = -0.00762593), norm. avg. (of 1) = 0.0517113
fft 1: mflops = 42.7171 (norm. = 0.325758), norm. avg. (of 3) = 0.292967
fft 2: mflops = 36.1452 (norm. = 0.275641), norm. avg. (of 3) = 0.212607
fft 3: mflops = 53.7015 (norm. = 0.409524), norm. avg. (of 3) = 0.393889
fft 4: mflops = 51.2605 (norm. = 0.390909), norm. avg. (of 3) = 0.355558
fft 5: mflops = 131.132 (norm. = 1), norm. avg. (of 3) = 0.991484
fft 6: mflops = 126.711 (norm. = 0.966292), norm. avg. (of 3) = 0.988764
fft 7: mflops = 27.9142 (norm. = 0.212871), norm. avg. (of 3) = 0.19017
fft 8: mflops = 36.1452 (norm. = 0.275641), norm. avg. (of 3) = 0.248392
fft 9: mflops = 12.3655 (norm. = 0.0942982), norm. avg. (of 3) = 0.0833398
fft 10: mflops = 20.1381 (norm. = 0.153571), norm. avg. (of 3) = 0.145538
fft 11: mflops = 24.5159 (norm. = 0.186957), norm. avg. (of 3) = 0.177984
fft 12: mflops = 27.9142 (norm. = 0.212871), norm. avg. (of 3) = 0.174479
fft 13: mflops = 24.0968 (norm. = 0.183761), norm. avg. (of 3) = 0.162804
fft 14: mflops = 5.82506 (norm. = 0.0444215), norm. avg. (of 3) = 0.0526036
Benchmarking for array size = 15:
0. Brenner: elapsed time t=1.26 s, 32768 iters, t-(init.)=1.25 s
t(norm)=0.650935, mflops=7.68126 (err=4.1e-16)
1. CWP (min N): elapsed time t=1.67 s, 262144 iters, t-(init.)=1.56 s
t(norm)=0.101546, mflops=49.2388
2. CWP (best N): elapsed time t=1.68 s, 262144 iters, t-(init.)=1.57 s
t(norm)=0.102197, mflops=48.9252
3. FFTPACK: elapsed time t=1.63 s, 262144 iters, t-(init.)=1.52 s
t(norm)=0.0989421, mflops=50.5346 (err=1.4e-16)
4. FFTPACK (f2c): elapsed time t=1.63 s, 262144 iters, t-(init.)=1.52 s
t(norm)=0.0989421, mflops=50.5346 (err=3.0e-16)
FFTW_MEASURE plan: (cost = 3.662109e-06)
FFTW_NOTW 15
5. FFTW: elapsed time t=1.91 s, 524288 iters, t-(init.)=1.69 s
t(norm)=0.055004, mflops=90.9025 (err=1.9e-16)
FFTW_ESTIMATE plan: (cost = 4.485000e+02)
FFTW_NOTW 15
6. FFTW_ESTIMATE: elapsed time t=1.91 s, 524288 iters, t-(init.)=1.68 s
t(norm)=0.0546785, mflops=91.4436 (err=1.9e-16)
7. Frigo-old: elapsed time t=1.13 s, 65536 iters, t-(init.)=1.1 s
t(norm)=0.286411, mflops=17.4574 (err=2.6e-16)
8. GSL: elapsed time t=1.83 s, 131072 iters, t-(init.)=1.77 s
t(norm)=0.230431, mflops=21.6985 (err=1.4e-16)
9. Nielsen: elapsed time t=1.36 s, 65536 iters, t-(init.)=1.33 s
t(norm)=0.346297, mflops=14.4385 (err=4.3e-15)
10. Singleton: elapsed time t=1.1 s, 65536 iters, t-(init.)=1.07 s
t(norm)=0.2786, mflops=17.9469 (err=2.2e-16)
11. Singleton (f2c): elapsed time t=1.67 s, 131072 iters, t-(init.)=1.61 s
t(norm)=0.209601, mflops=23.8548 (err=2.2e-16)
12. Temperton: elapsed time t=1.26 s, 131072 iters, t-(init.)=1.2 s
t(norm)=0.156224, mflops=32.0052 (err=1.0e-08)
13. Temperton (f2c): elapsed time t=1.39 s, 131072 iters, t-(init.)=1.33 s
t(norm)=0.173149, mflops=28.8769 (err=1.8e-16)
14. Valkenburg: elapsed time t=1.89 s, 32768 iters, t-(init.)=1.87 s
t(norm)=0.973799, mflops=5.13453 (err=2.2e-16)
Top mflops for N=15 = 91.4436
Normalized results and averages for N=15:
fft 0: mflops = 7.68126 (norm. = 0.084), norm. avg. (of 2) = 0.0678557
fft 1: mflops = 49.2388 (norm. = 0.538462), norm. avg. (of 4) = 0.35434
fft 2: mflops = 48.9252 (norm. = 0.535032), norm. avg. (of 4) = 0.293213
fft 3: mflops = 50.5346 (norm. = 0.552632), norm. avg. (of 4) = 0.433575
fft 4: mflops = 50.5346 (norm. = 0.552632), norm. avg. (of 4) = 0.404827
fft 5: mflops = 90.9025 (norm. = 0.994083), norm. avg. (of 4) = 0.992134
fft 6: mflops = 91.4436 (norm. = 1), norm. avg. (of 4) = 0.991573
fft 7: mflops = 17.4574 (norm. = 0.190909), norm. avg. (of 4) = 0.190355
fft 8: mflops = 21.6985 (norm. = 0.237288), norm. avg. (of 4) = 0.245616
fft 9: mflops = 14.4385 (norm. = 0.157895), norm. avg. (of 4) = 0.101979
fft 10: mflops = 17.9469 (norm. = 0.196262), norm. avg. (of 4) = 0.158219
fft 11: mflops = 23.8548 (norm. = 0.26087), norm. avg. (of 4) = 0.198705
fft 12: mflops = 32.0052 (norm. = 0.35), norm. avg. (of 4) = 0.218359
fft 13: mflops = 28.8769 (norm. = 0.315789), norm. avg. (of 4) = 0.20105
fft 14: mflops = 5.13453 (norm. = 0.0561497), norm. avg. (of 4) = 0.0534901
Benchmarking for array size = 18:
0. Brenner: elapsed time t=1.76 s, 32768 iters, t-(init.)=1.74 s
t(norm)=0.707455, mflops=7.06759 (err=4.1e-16)
1. CWP (min N): elapsed time t=1.07 s, 131072 iters, t-(init.)=1.01 s
t(norm)=0.102662, mflops=48.7034
2. CWP (best N) (N=28): elapsed time t=1.27 s, 131072 iters, t-(init.)=1.18
s
t(norm)=0.119942, mflops=41.6868
3. FFTPACK: elapsed time t=1.22 s, 131072 iters, t-(init.)=1.15 s
t(norm)=0.116893, mflops=42.7743 (err=2.5e-16)
4. FFTPACK (f2c): elapsed time t=1.38 s, 131072 iters, t-(init.)=1.32 s
t(norm)=0.134172, mflops=37.2655 (err=2.8e-16)
FFTW_MEASURE plan: (cost = 6.713867e-06)
FFTW_TWIDDLE 9
FFTW_NOTW 2
5. FFTW: elapsed time t=1.77 s, 262144 iters, t-(init.)=1.64 s
t(norm)=0.0833495, mflops=59.9883 (err=1.9e-16)
FFTW_ESTIMATE plan: (cost = 1.168200e+03)
FFTW_TWIDDLE 2
FFTW_NOTW 9
6. FFTW_ESTIMATE: elapsed time t=1.64 s, 262144 iters, t-(init.)=1.51 s
t(norm)=0.0767426, mflops=65.1529 (err=2.2e-16)
7. Frigo-old: elapsed time t=1.38 s, 65536 iters, t-(init.)=1.35 s
t(norm)=0.274444, mflops=18.2187 (err=3.5e-16)
8. GSL: elapsed time t=1.28 s, 131072 iters, t-(init.)=1.22 s
t(norm)=0.124008, mflops=40.32 (err=2.1e-16)
9. Nielsen: elapsed time t=1.08 s, 32768 iters, t-(init.)=1.06 s
t(norm)=0.430978, mflops=11.6015 (err=8.7e-16)
10. Singleton: elapsed time t=1.07 s, 65536 iters, t-(init.)=1.04 s
t(norm)=0.211423, mflops=23.6492 (err=2.1e-16)
11. Singleton (f2c): elapsed time t=1.64 s, 131072 iters, t-(init.)=1.57 s
t(norm)=0.159584, mflops=31.3315 (err=2.1e-16)
12. Temperton: elapsed time t=1 s, 65536 iters, t-(init.)=0.97 s
t(norm)=0.197193, mflops=25.3559 (err=4.5e-08)
13. Temperton (f2c): elapsed time t=1.12 s, 65536 iters, t-(init.)=1.09 s
t(norm)=0.221588, mflops=22.5644 (err=2.6e-16)
14. Valkenburg: elapsed time t=1.06 s, 16384 iters, t-(init.)=1.05 s
t(norm)=0.853824, mflops=5.856 (err=4.2e-16)
Top mflops for N=18 = 65.1529
Normalized results and averages for N=18:
fft 0: mflops = 7.06759 (norm. = 0.108477), norm. avg. (of 3) = 0.0813961
fft 1: mflops = 48.7034 (norm. = 0.747525), norm. avg. (of 5) = 0.432977
fft 2: mflops = 41.6868 (norm. = 0.639831), norm. avg. (of 5) = 0.362537
fft 3: mflops = 42.7743 (norm. = 0.656522), norm. avg. (of 5) = 0.478164
fft 4: mflops = 37.2655 (norm. = 0.57197), norm. avg. (of 5) = 0.438255
fft 5: mflops = 59.9883 (norm. = 0.920732), norm. avg. (of 5) = 0.977853
fft 6: mflops = 65.1529 (norm. = 1), norm. avg. (of 5) = 0.993258
fft 7: mflops = 18.2187 (norm. = 0.27963), norm. avg. (of 5) = 0.20821
fft 8: mflops = 40.32 (norm. = 0.618852), norm. avg. (of 5) = 0.320263
fft 9: mflops = 11.6015 (norm. = 0.178066), norm. avg. (of 5) = 0.117196
fft 10: mflops = 23.6492 (norm. = 0.362981), norm. avg. (of 5) = 0.199172
fft 11: mflops = 31.3315 (norm. = 0.480892), norm. avg. (of 5) = 0.255143
fft 12: mflops = 25.3559 (norm. = 0.389175), norm. avg. (of 5) = 0.252522
fft 13: mflops = 22.5644 (norm. = 0.34633), norm. avg. (of 5) = 0.230106
fft 14: mflops = 5.856 (norm. = 0.089881), norm. avg. (of 5) = 0.0607683
Benchmarking for array size = 24:
0. Skipping fft (Brenner has a bug for N=3*2^m).
1. CWP (min N): elapsed time t=1.15 s, 131072 iters, t-(init.)=1.07 s
t(norm)=0.0741868, mflops=67.3974
2. CWP (best N) (N=28): elapsed time t=1.27 s, 131072 iters, t-(init.)=1.17
s
t(norm)=0.0811202, mflops=61.6369
3. FFTPACK: elapsed time t=1.52 s, 131072 iters, t-(init.)=1.44 s
t(norm)=0.0998402, mflops=50.08 (err=1.7e-16)
4. FFTPACK (f2c): elapsed time t=1.7 s, 131072 iters, t-(init.)=1.62 s
t(norm)=0.11232, mflops=44.5156 (err=2.5e-16)
FFTW_MEASURE plan: (cost = 7.934570e-06)
FFTW_TWIDDLE 8
FFTW_NOTW 3
5. FFTW: elapsed time t=1.06 s, 131072 iters, t-(init.)=0.98 s
t(norm)=0.0679468, mflops=73.587 (err=2.3e-16)
FFTW_ESTIMATE plan: (cost = 1.248000e+03)
FFTW_TWIDDLE 2
FFTW_NOTW 12
6. FFTW_ESTIMATE: elapsed time t=1 s, 131072 iters, t-(init.)=0.92 s
t(norm)=0.0637868, mflops=78.3861 (err=2.1e-16)
7. Frigo-old: elapsed time t=1.4 s, 65536 iters, t-(init.)=1.35 s
t(norm)=0.1872, mflops=26.7093 (err=3.8e-16)
8. GSL: elapsed time t=1.82 s, 131072 iters, t-(init.)=1.74 s
t(norm)=0.12064, mflops=41.4455 (err=2.1e-16)
9. Nielsen: elapsed time t=1.08 s, 32768 iters, t-(init.)=1.06 s
t(norm)=0.293974, mflops=17.0083 (err=1.7e-15)
10. Singleton: elapsed time t=1.53 s, 65536 iters, t-(init.)=1.49 s
t(norm)=0.206614, mflops=24.1997 (err=2.1e-16)
11. Singleton (f2c): elapsed time t=1.22 s, 65536 iters, t-(init.)=1.18 s
t(norm)=0.163627, mflops=30.5573 (err=2.1e-16)
12. Temperton: elapsed time t=1.02 s, 65536 iters, t-(init.)=0.98 s
t(norm)=0.135894, mflops=36.7935 (err=8.0e-09)
13. Temperton (f2c): elapsed time t=1.22 s, 65536 iters, t-(init.)=1.18 s
t(norm)=0.163627, mflops=30.5573 (err=2.4e-16)
14. Valkenburg: elapsed time t=1.54 s, 16384 iters, t-(init.)=1.53 s
t(norm)=0.848642, mflops=5.89177 (err=6.1e-16)
Top mflops for N=24 = 78.3861
Normalized results and averages for N=24:
fft 0: mflops = -1 (norm. = -0.0127574), norm. avg. (of 3) = 0.0813961
fft 1: mflops = 67.3974 (norm. = 0.859813), norm. avg. (of 6) = 0.504117
fft 2: mflops = 61.6369 (norm. = 0.786325), norm. avg. (of 6) = 0.433168
fft 3: mflops = 50.08 (norm. = 0.638889), norm. avg. (of 6) = 0.504951
fft 4: mflops = 44.5156 (norm. = 0.567901), norm. avg. (of 6) = 0.459863
fft 5: mflops = 73.587 (norm. = 0.938776), norm. avg. (of 6) = 0.97134
fft 6: mflops = 78.3861 (norm. = 1), norm. avg. (of 6) = 0.994382
fft 7: mflops = 26.7093 (norm. = 0.340741), norm. avg. (of 6) = 0.230298
fft 8: mflops = 41.4455 (norm. = 0.528736), norm. avg. (of 6) = 0.355009
fft 9: mflops = 17.0083 (norm. = 0.216981), norm. avg. (of 6) = 0.133827
fft 10: mflops = 24.1997 (norm. = 0.308725), norm. avg. (of 6) = 0.21743
fft 11: mflops = 30.5573 (norm. = 0.389831), norm. avg. (of 6) = 0.277591
fft 12: mflops = 36.7935 (norm. = 0.469388), norm. avg. (of 6) = 0.288667
fft 13: mflops = 30.5573 (norm. = 0.389831), norm. avg. (of 6) = 0.256727
fft 14: mflops = 5.89177 (norm. = 0.0751634), norm. avg. (of 6) = 0.0631675
Benchmarking for array size = 36:
0. Brenner: elapsed time t=1.8 s, 16384 iters, t-(init.)=1.78 s
t(norm)=0.583732, mflops=8.56558 (err=1.4e-15)
1. CWP (min N): elapsed time t=1.78 s, 131072 iters, t-(init.)=1.67 s
t(norm)=0.0684573, mflops=73.0382
2. CWP (best N): elapsed time t=1.79 s, 131072 iters, t-(init.)=1.68 s
t(norm)=0.0688672, mflops=72.6035
3. FFTPACK: elapsed time t=1.21 s, 65536 iters, t-(init.)=1.15 s
t(norm)=0.0942825, mflops=53.0321 (err=4.3e-16)
4. FFTPACK (f2c): elapsed time t=1.3 s, 65536 iters, t-(init.)=1.24 s
t(norm)=0.101661, mflops=49.183 (err=1.1e-15)
FFTW_MEASURE plan: (cost = 1.159668e-05)
FFTW_TWIDDLE 2
FFTW_TWIDDLE 2
FFTW_NOTW 9
5. FFTW: elapsed time t=1.53 s, 131072 iters, t-(init.)=1.42 s
t(norm)=0.0582092, mflops=85.8971 (err=6.2e-16)
FFTW_ESTIMATE plan: (cost = 1.803600e+03)
FFTW_TWIDDLE 3
FFTW_NOTW 12
6. FFTW_ESTIMATE: elapsed time t=1.98 s, 131072 iters, t-(init.)=1.86 s
t(norm)=0.0762459, mflops=65.5773 (err=6.2e-16)
7. Frigo-old: elapsed time t=1.39 s, 32768 iters, t-(init.)=1.36 s
t(norm)=0.222999, mflops=22.4217 (err=6.6e-16)
8. GSL: elapsed time t=1.05 s, 65536 iters, t-(init.)=0.99 s
t(norm)=0.0811649, mflops=61.6029 (err=4.2e-16)
9. Nielsen: elapsed time t=1.76 s, 32768 iters, t-(init.)=1.73 s
t(norm)=0.283667, mflops=17.6263 (err=1.6e-15)
10. Singleton: elapsed time t=1.12 s, 32768 iters, t-(init.)=1.09 s
t(norm)=0.178727, mflops=27.9756 (err=4.2e-16)
11. Singleton (f2c): elapsed time t=1.61 s, 65536 iters, t-(init.)=1.55 s
t(norm)=0.127076, mflops=39.3464 (err=4.1e-16)
12. Temperton: elapsed time t=1.65 s, 65536 iters, t-(init.)=1.59 s
t(norm)=0.130356, mflops=38.3566 (err=6.4e-08)
13. Temperton (f2c): elapsed time t=1.96 s, 65536 iters, t-(init.)=1.9 s
t(norm)=0.155771, mflops=32.0984 (err=3.5e-16)
14. Valkenburg: elapsed time t=1.29 s, 8192 iters, t-(init.)=1.28 s
t(norm)=0.839524, mflops=5.95575 (err=8.4e-16)
Top mflops for N=36 = 85.8971
Normalized results and averages for N=36:
fft 0: mflops = 8.56558 (norm. = 0.0997191), norm. avg. (of 4) = 0.0859769
fft 1: mflops = 73.0382 (norm. = 0.850299), norm. avg. (of 7) = 0.553571
fft 2: mflops = 72.6035 (norm. = 0.845238), norm. avg. (of 7) = 0.492035
fft 3: mflops = 53.0321 (norm. = 0.617391), norm. avg. (of 7) = 0.521014
fft 4: mflops = 49.183 (norm. = 0.572581), norm. avg. (of 7) = 0.475965
fft 5: mflops = 85.8971 (norm. = 1), norm. avg. (of 7) = 0.975435
fft 6: mflops = 65.5773 (norm. = 0.763441), norm. avg. (of 7) = 0.96139
fft 7: mflops = 22.4217 (norm. = 0.261029), norm. avg. (of 7) = 0.234688
fft 8: mflops = 61.6029 (norm. = 0.717172), norm. avg. (of 7) = 0.406746
fft 9: mflops = 17.6263 (norm. = 0.205202), norm. avg. (of 7) = 0.144023
fft 10: mflops = 27.9756 (norm. = 0.325688), norm. avg. (of 7) = 0.232896
fft 11: mflops = 39.3464 (norm. = 0.458065), norm. avg. (of 7) = 0.303373
fft 12: mflops = 38.3566 (norm. = 0.446541), norm. avg. (of 7) = 0.31122
fft 13: mflops = 32.0984 (norm. = 0.373684), norm. avg. (of 7) = 0.273435
fft 14: mflops = 5.95575 (norm. = 0.0693359), norm. avg. (of 7) = 0.0640487
Benchmarking for array size = 80:
0. Brenner: elapsed time t=1.54 s, 8192 iters, t-(init.)=1.52 s
t(norm)=0.366872, mflops=13.6287 (err=5.1e-16)
1. CWP (min N): elapsed time t=1.53 s, 65536 iters, t-(init.)=1.41 s
t(norm)=0.0425402, mflops=117.536
2. CWP (best N) (N=84): elapsed time t=1.97 s, 65536 iters, t-(init.)=1.85 s
t(norm)=0.0558152, mflops=89.5814
3. FFTPACK: elapsed time t=1.39 s, 32768 iters, t-(init.)=1.33 s
t(norm)=0.0802532, mflops=62.3028 (err=4.3e-16)
4. FFTPACK (f2c): elapsed time t=1.33 s, 32768 iters, t-(init.)=1.27 s
t(norm)=0.0766327, mflops=65.2463 (err=4.7e-16)
FFTW_MEASURE plan: (cost = 3.051758e-05)
FFTW_TWIDDLE 2
FFTW_TWIDDLE 5
FFTW_NOTW 8
5. FFTW: elapsed time t=1 s, 32768 iters, t-(init.)=0.94 s
t(norm)=0.0567203, mflops=88.1519 (err=2.6e-16)
FFTW_ESTIMATE plan: (cost = 2.600000e+03)
FFTW_TWIDDLE 5
FFTW_NOTW 16
6. FFTW_ESTIMATE: elapsed time t=1.26 s, 32768 iters, t-(init.)=1.2 s
t(norm)=0.0724089, mflops=69.0523 (err=4.6e-16)
7. Frigo-old: elapsed time t=1.18 s, 16384 iters, t-(init.)=1.15 s
t(norm)=0.138784, mflops=36.0273 (err=3.3e-16)
8. GSL: elapsed time t=1.48 s, 16384 iters, t-(init.)=1.45 s
t(norm)=0.174988, mflops=28.5734 (err=4.1e-16)
9. Nielsen: elapsed time t=1.61 s, 16384 iters, t-(init.)=1.58 s
t(norm)=0.190677, mflops=26.2224 (err=8.1e-15)
10. Singleton: elapsed time t=1.33 s, 16384 iters, t-(init.)=1.3 s
t(norm)=0.156886, mflops=31.8703 (err=4.3e-16)
11. Singleton (f2c): elapsed time t=1.86 s, 32768 iters, t-(init.)=1.8 s
t(norm)=0.108613, mflops=46.0349 (err=3.5e-16)
12. Temperton: elapsed time t=1.27 s, 32768 iters, t-(init.)=1.21 s
t(norm)=0.0730123, mflops=68.4816 (err=1.7e-07)
13. Temperton (f2c): elapsed time t=1.88 s, 32768 iters, t-(init.)=1.82 s
t(norm)=0.10982, mflops=45.529 (err=4.0e-16)
14. Valkenburg: elapsed time t=1.84 s, 4096 iters, t-(init.)=1.83 s
t(norm)=0.883388, mflops=5.66003 (err=5.4e-16)
Top mflops for N=80 = 117.536
Normalized results and averages for N=80:
fft 0: mflops = 13.6287 (norm. = 0.115954), norm. avg. (of 5) = 0.0919723
fft 1: mflops = 117.536 (norm. = 1), norm. avg. (of 8) = 0.609375
fft 2: mflops = 89.5814 (norm. = 0.762162), norm. avg. (of 8) = 0.525801
fft 3: mflops = 62.3028 (norm. = 0.530075), norm. avg. (of 8) = 0.522147
fft 4: mflops = 65.2463 (norm. = 0.555118), norm. avg. (of 8) = 0.48586
fft 5: mflops = 88.1519 (norm. = 0.75), norm. avg. (of 8) = 0.947255
fft 6: mflops = 69.0523 (norm. = 0.5875), norm. avg. (of 8) = 0.914654
fft 7: mflops = 36.0273 (norm. = 0.306522), norm. avg. (of 8) = 0.243668
fft 8: mflops = 28.5734 (norm. = 0.243103), norm. avg. (of 8) = 0.386291
fft 9: mflops = 26.2224 (norm. = 0.223101), norm. avg. (of 8) = 0.153908
fft 10: mflops = 31.8703 (norm. = 0.271154), norm. avg. (of 8) = 0.237678
fft 11: mflops = 46.0349 (norm. = 0.391667), norm. avg. (of 8) = 0.314409
fft 12: mflops = 68.4816 (norm. = 0.582645), norm. avg. (of 8) = 0.345148
fft 13: mflops = 45.529 (norm. = 0.387363), norm. avg. (of 8) = 0.287676
fft 14: mflops = 5.66003 (norm. = 0.0481557), norm. avg. (of 8) = 0.0620621
Benchmarking for array size = 108:
0. Brenner: elapsed time t=1.61 s, 4096 iters, t-(init.)=1.6 s
t(norm)=0.535449, mflops=9.33796 (err=8.7e-16)
1. CWP (min N) (N=110): elapsed time t=1.4 s, 32768 iters, t-(init.)=1.32 s
t(norm)=0.0552182, mflops=90.5499
2. CWP (best N) (N=112): elapsed time t=1.15 s, 32768 iters, t-(init.)=1.07
s
t(norm)=0.0447602, mflops=111.706
3. FFTPACK: elapsed time t=1.99 s, 32768 iters, t-(init.)=1.91 s
t(norm)=0.079899, mflops=62.579 (err=3.4e-16)
4. FFTPACK (f2c): elapsed time t=1.06 s, 16384 iters, t-(init.)=1.02 s
t(norm)=0.0853372, mflops=58.5911 (err=7.1e-16)
FFTW_MEASURE plan: (cost = 4.150391e-05)
FFTW_TWIDDLE 4
FFTW_TWIDDLE 3
FFTW_NOTW 9
5. FFTW: elapsed time t=1.39 s, 32768 iters, t-(init.)=1.31 s
t(norm)=0.0547999, mflops=91.2411 (err=3.6e-16)
FFTW_ESTIMATE plan: (cost = 4.633200e+03)
FFTW_TWIDDLE 9
FFTW_NOTW 12
6. FFTW_ESTIMATE: elapsed time t=1.55 s, 32768 iters, t-(init.)=1.48 s
t(norm)=0.0619113, mflops=80.7607 (err=3.0e-16)
7. Frigo-old: elapsed time t=1.49 s, 8192 iters, t-(init.)=1.47 s
t(norm)=0.245972, mflops=20.3275 (err=5.6e-16)
8. GSL: elapsed time t=1.06 s, 16384 iters, t-(init.)=1.02 s
t(norm)=0.0853372, mflops=58.5911 (err=3.2e-16)
9. Nielsen: elapsed time t=1.47 s, 8192 iters, t-(init.)=1.45 s
t(norm)=0.242625, mflops=20.6079 (err=1.2e-15)
10. Singleton: elapsed time t=1.74 s, 16384 iters, t-(init.)=1.7 s
t(norm)=0.142229, mflops=35.1547 (err=3.3e-16)
11. Singleton (f2c): elapsed time t=1.21 s, 16384 iters, t-(init.)=1.17 s
t(norm)=0.0978868, mflops=51.0794 (err=3.3e-16)
12. Temperton: elapsed time t=1.57 s, 16384 iters, t-(init.)=1.53 s
t(norm)=0.128006, mflops=39.0607 (err=1.0e-07)
13. Temperton (f2c): elapsed time t=1.91 s, 16384 iters, t-(init.)=1.87 s
t(norm)=0.156452, mflops=31.9588 (err=3.1e-16)
14. Valkenburg: elapsed time t=1.24 s, 2048 iters, t-(init.)=1.23 s
t(norm)=0.823253, mflops=6.07347 (err=6.6e-16)
Top mflops for N=108 = 111.706
Normalized results and averages for N=108:
fft 0: mflops = 9.33796 (norm. = 0.0835937), norm. avg. (of 6) = 0.0905759
fft 1: mflops = 90.5499 (norm. = 0.810606), norm. avg. (of 9) = 0.631734
fft 2: mflops = 111.706 (norm. = 1), norm. avg. (of 9) = 0.57849
fft 3: mflops = 62.579 (norm. = 0.560209), norm. avg. (of 9) = 0.526376
fft 4: mflops = 58.5911 (norm. = 0.52451), norm. avg. (of 9) = 0.490154
fft 5: mflops = 91.2411 (norm. = 0.816794), norm. avg. (of 9) = 0.93276
fft 6: mflops = 80.7607 (norm. = 0.722973), norm. avg. (of 9) = 0.893356
fft 7: mflops = 20.3275 (norm. = 0.181973), norm. avg. (of 9) = 0.236813
fft 8: mflops = 58.5911 (norm. = 0.52451), norm. avg. (of 9) = 0.401649
fft 9: mflops = 20.6079 (norm. = 0.184483), norm. avg. (of 9) = 0.157305
fft 10: mflops = 35.1547 (norm. = 0.314706), norm. avg. (of 9) = 0.246237
fft 11: mflops = 51.0794 (norm. = 0.457265), norm. avg. (of 9) = 0.330282
fft 12: mflops = 39.0607 (norm. = 0.349673), norm. avg. (of 9) = 0.345651
fft 13: mflops = 31.9588 (norm. = 0.286096), norm. avg. (of 9) = 0.287501
fft 14: mflops = 6.07347 (norm. = 0.0543699), norm. avg. (of 9) = 0.0612074
Benchmarking for array size = 210:
0. Brenner: elapsed time t=1.36 s, 2048 iters, t-(init.)=1.35 s
t(norm)=0.406903, mflops=12.2879 (err=6.2e-16)
1. CWP (min N): elapsed time t=1.42 s, 16384 iters, t-(init.)=1.35 s
t(norm)=0.0508629, mflops=98.3035
2. CWP (best N): elapsed time t=1.4 s, 16384 iters, t-(init.)=1.32 s
t(norm)=0.0497326, mflops=100.538
3. FFTPACK: elapsed time t=1.36 s, 8192 iters, t-(init.)=1.32 s
t(norm)=0.0994652, mflops=50.2688 (err=3.7e-16)
4. FFTPACK (f2c): elapsed time t=1.81 s, 8192 iters, t-(init.)=1.77 s
t(norm)=0.133374, mflops=37.4886 (err=4.2e-16)
FFTW_MEASURE plan: (cost = 1.123047e-04)
FFTW_TWIDDLE 7
FFTW_TWIDDLE 3
FFTW_NOTW 10
5. FFTW: elapsed time t=1.82 s, 16384 iters, t-(init.)=1.74 s
t(norm)=0.0655566, mflops=76.2699 (err=3.0e-16)
FFTW_ESTIMATE plan: (cost = 9.324000e+03)
FFTW_TWIDDLE 7
FFTW_TWIDDLE 2
FFTW_NOTW 15
6. FFTW_ESTIMATE: elapsed time t=1.87 s, 16384 iters, t-(init.)=1.8 s
t(norm)=0.0678172, mflops=73.7276 (err=3.5e-16)
7. Frigo-old: elapsed time t=1.84 s, 4096 iters, t-(init.)=1.82 s
t(norm)=0.274283, mflops=18.2294 (err=4.6e-16)
8. GSL: elapsed time t=1.29 s, 4096 iters, t-(init.)=1.27 s
t(norm)=0.191395, mflops=26.124 (err=3.6e-16)
9. Nielsen: elapsed time t=1.59 s, 4096 iters, t-(init.)=1.57 s
t(norm)=0.236607, mflops=21.1321 (err=8.6e-15)
10. Singleton: elapsed time t=1.06 s, 4096 iters, t-(init.)=1.04 s
t(norm)=0.156733, mflops=31.9014 (err=3.4e-16)
11. Singleton (f2c): elapsed time t=1.92 s, 8192 iters, t-(init.)=1.89 s
t(norm)=0.142416, mflops=35.1084 (err=3.4e-16)
12. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Valkenburg: elapsed time t=1.73 s, 1024 iters, t-(init.)=1.72 s
t(norm)=1.03685, mflops=4.8223 (err=6.1e-16)
Top mflops for N=210 = 100.538
Normalized results and averages for N=210:
fft 0: mflops = 12.2879 (norm. = 0.122222), norm. avg. (of 7) = 0.0950968
fft 1: mflops = 98.3035 (norm. = 0.977778), norm. avg. (of 10) = 0.666338
fft 2: mflops = 100.538 (norm. = 1), norm. avg. (of 10) = 0.620641
fft 3: mflops = 50.2688 (norm. = 0.5), norm. avg. (of 10) = 0.523738
fft 4: mflops = 37.4886 (norm. = 0.372881), norm. avg. (of 10) = 0.478427
fft 5: mflops = 76.2699 (norm. = 0.758621), norm. avg. (of 10) = 0.915346
fft 6: mflops = 73.7276 (norm. = 0.733333), norm. avg. (of 10) = 0.877354
fft 7: mflops = 18.2294 (norm. = 0.181319), norm. avg. (of 10) = 0.231263
fft 8: mflops = 26.124 (norm. = 0.259843), norm. avg. (of 10) = 0.387468
fft 9: mflops = 21.1321 (norm. = 0.210191), norm. avg. (of 10) = 0.162594
fft 10: mflops = 31.9014 (norm. = 0.317308), norm. avg. (of 10) = 0.253344
fft 11: mflops = 35.1084 (norm. = 0.349206), norm. avg. (of 10) = 0.332175
fft 12: mflops = -1 (norm. = -0.00994652), norm. avg. (of 9) = 0.345651
fft 13: mflops = -1 (norm. = -0.00994652), norm. avg. (of 9) = 0.287501
fft 14: mflops = 4.8223 (norm. = 0.0479651), norm. avg. (of 10) = 0.0598832
Benchmarking for array size = 504:
0. Brenner: elapsed time t=1.8 s, 1024 iters, t-(init.)=1.79 s
t(norm)=0.386347, mflops=12.9417 (err=6.6e-16)
1. CWP (min N): elapsed time t=1.74 s, 8192 iters, t-(init.)=1.65 s
t(norm)=0.0445163, mflops=112.319
2. CWP (best N): elapsed time t=1.74 s, 8192 iters, t-(init.)=1.65 s
t(norm)=0.0445163, mflops=112.319
3. FFTPACK: elapsed time t=1.02 s, 2048 iters, t-(init.)=1 s
t(norm)=0.107918, mflops=46.3314 (err=4.6e-16)
4. FFTPACK (f2c): elapsed time t=1.25 s, 2048 iters, t-(init.)=1.23 s
t(norm)=0.132739, mflops=37.6678 (err=6.0e-16)
FFTW_MEASURE plan: (cost = 2.832031e-04)
FFTW_TWIDDLE 2
FFTW_TWIDDLE 3
FFTW_TWIDDLE 2
FFTW_TWIDDLE 3
FFTW_NOTW 14
5. FFTW: elapsed time t=1.22 s, 4096 iters, t-(init.)=1.17 s
t(norm)=0.0631322, mflops=79.1989 (err=4.8e-16)
FFTW_ESTIMATE plan: (cost = 2.147040e+04)
FFTW_TWIDDLE 6
FFTW_TWIDDLE 6
FFTW_NOTW 14
6. FFTW_ESTIMATE: elapsed time t=1.34 s, 4096 iters, t-(init.)=1.29 s
t(norm)=0.0696072, mflops=71.8316 (err=4.5e-16)
7. Frigo-old: elapsed time t=1.19 s, 1024 iters, t-(init.)=1.18 s
t(norm)=0.254687, mflops=19.6319 (err=6.0e-16)
8. GSL: elapsed time t=1.38 s, 2048 iters, t-(init.)=1.36 s
t(norm)=0.146769, mflops=34.0672 (err=5.7e-16)
9. Nielsen: elapsed time t=1.15 s, 1024 iters, t-(init.)=1.14 s
t(norm)=0.246054, mflops=20.3208 (err=5.4e-15)
10. Singleton: elapsed time t=1.23 s, 2048 iters, t-(init.)=1.21 s
t(norm)=0.130581, mflops=38.2904 (err=6.6e-16)
11. Singleton (f2c): elapsed time t=1.11 s, 2048 iters, t-(init.)=1.09 s
t(norm)=0.117631, mflops=42.5059 (err=6.6e-16)
12. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Valkenburg: elapsed time t=1.11 s, 256 iters, t-(init.)=1.11 s
t(norm)=0.958314, mflops=5.2175 (err=7.6e-16)
Top mflops for N=504 = 112.319
Normalized results and averages for N=504:
fft 0: mflops = 12.9417 (norm. = 0.115223), norm. avg. (of 8) = 0.0976126
fft 1: mflops = 112.319 (norm. = 1), norm. avg. (of 11) = 0.696671
fft 2: mflops = 112.319 (norm. = 1), norm. avg. (of 11) = 0.655128
fft 3: mflops = 46.3314 (norm. = 0.4125), norm. avg. (of 11) = 0.513626
fft 4: mflops = 37.6678 (norm. = 0.335366), norm. avg. (of 11) = 0.465421
fft 5: mflops = 79.1989 (norm. = 0.705128), norm. avg. (of 11) = 0.896235
fft 6: mflops = 71.8316 (norm. = 0.639535), norm. avg. (of 11) = 0.855734
fft 7: mflops = 19.6319 (norm. = 0.174788), norm. avg. (of 11) = 0.226129
fft 8: mflops = 34.0672 (norm. = 0.303309), norm. avg. (of 11) = 0.379817
fft 9: mflops = 20.3208 (norm. = 0.180921), norm. avg. (of 11) = 0.16426
fft 10: mflops = 38.2904 (norm. = 0.340909), norm. avg. (of 11) = 0.261304
fft 11: mflops = 42.5059 (norm. = 0.37844), norm. avg. (of 11) = 0.336381
fft 12: mflops = -1 (norm. = -0.00890325), norm. avg. (of 9) = 0.345651
fft 13: mflops = -1 (norm. = -0.00890325), norm. avg. (of 9) = 0.287501
fft 14: mflops = 5.2175 (norm. = 0.0464527), norm. avg. (of 11) = 0.0586622
Benchmarking for array size = 1000:
0. Brenner: elapsed time t=1 s, 256 iters, t-(init.)=1 s
t(norm)=0.391966, mflops=12.7562 (err=8.0e-16)
1. CWP (min N) (N=1001): elapsed time t=1.16 s, 2048 iters, t-(init.)=1.1 s
t(norm)=0.0538953, mflops=92.7724
2. CWP (best N) (N=1008): elapsed time t=1.88 s, 4096 iters, t-(init.)=1.77
s
t(norm)=0.0433613, mflops=115.31
3. FFTPACK: elapsed time t=1.18 s, 1024 iters, t-(init.)=1.16 s
t(norm)=0.11367, mflops=43.9869 (err=6.1e-16)
4. FFTPACK (f2c): elapsed time t=1.22 s, 1024 iters, t-(init.)=1.19 s
t(norm)=0.11661, mflops=42.878 (err=7.8e-16)
FFTW_MEASURE plan: (cost = 8.203125e-04)
FFTW_TWIDDLE 2
FFTW_TWIDDLE 5
FFTW_TWIDDLE 2
FFTW_TWIDDLE 5
FFTW_NOTW 10
5. FFTW: elapsed time t=1.66 s, 2048 iters, t-(init.)=1.6 s
t(norm)=0.0783932, mflops=63.781 (err=5.9e-16)
FFTW_ESTIMATE plan: (cost = 5.220000e+04)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 10
FFTW_NOTW 10
6. FFTW_ESTIMATE: elapsed time t=1.62 s, 2048 iters, t-(init.)=1.57 s
t(norm)=0.0769234, mflops=64.9998 (err=6.3e-16)
7. Frigo-old: elapsed time t=1.31 s, 512 iters, t-(init.)=1.3 s
t(norm)=0.254778, mflops=19.6249 (err=6.3e-16)
8. GSL: elapsed time t=1.07 s, 512 iters, t-(init.)=1.06 s
t(norm)=0.207742, mflops=24.0683 (err=6.3e-16)
9. Nielsen: elapsed time t=1.7 s, 1024 iters, t-(init.)=1.67 s
t(norm)=0.163646, mflops=30.5538 (err=1.3e-14)
10. Singleton: elapsed time t=1.36 s, 1024 iters, t-(init.)=1.34 s
t(norm)=0.131309, mflops=38.0782 (err=9.0e-16)
11. Singleton (f2c): elapsed time t=1.88 s, 2048 iters, t-(init.)=1.82 s
t(norm)=0.0891723, mflops=56.0712 (err=9.1e-16)
12. Temperton: elapsed time t=1.52 s, 2048 iters, t-(init.)=1.47 s
t(norm)=0.0720238, mflops=69.4215 (err=1.1e-07)
13. Temperton (f2c): elapsed time t=1.07 s, 1024 iters, t-(init.)=1.05 s
t(norm)=0.102891, mflops=48.5951 (err=6.4e-16)
14. Valkenburg: elapsed time t=1.26 s, 128 iters, t-(init.)=1.26 s
t(norm)=0.987755, mflops=5.06199 (err=7.2e-16)
Top mflops for N=1000 = 115.31
Normalized results and averages for N=1000:
fft 0: mflops = 12.7562 (norm. = 0.110625), norm. avg. (of 9) = 0.0990584
fft 1: mflops = 92.7724 (norm. = 0.804545), norm. avg. (of 12) = 0.705661
fft 2: mflops = 115.31 (norm. = 1), norm. avg. (of 12) = 0.683867
fft 3: mflops = 43.9869 (norm. = 0.381466), norm. avg. (of 12) = 0.502613
fft 4: mflops = 42.878 (norm. = 0.371849), norm. avg. (of 12) = 0.457623
fft 5: mflops = 63.781 (norm. = 0.553125), norm. avg. (of 12) = 0.867642
fft 6: mflops = 64.9998 (norm. = 0.563694), norm. avg. (of 12) = 0.831397
fft 7: mflops = 19.6249 (norm. = 0.170192), norm. avg. (of 12) = 0.221468
fft 8: mflops = 24.0683 (norm. = 0.208726), norm. avg. (of 12) = 0.36556
fft 9: mflops = 30.5538 (norm. = 0.26497), norm. avg. (of 12) = 0.172652
fft 10: mflops = 38.0782 (norm. = 0.330224), norm. avg. (of 12) = 0.267048
fft 11: mflops = 56.0712 (norm. = 0.486264), norm. avg. (of 12) = 0.348871
fft 12: mflops = 69.4215 (norm. = 0.602041), norm. avg. (of 10) = 0.37129
fft 13: mflops = 48.5951 (norm. = 0.421429), norm. avg. (of 10) = 0.300893
fft 14: mflops = 5.06199 (norm. = 0.0438988), norm. avg. (of 12) = 0.0574319
Benchmarking for array size = 1960:
0. Brenner: elapsed time t=1.04 s, 128 iters, t-(init.)=1.02 s
t(norm)=0.371749, mflops=13.4499 (err=7.3e-16)
1. CWP (min N) (N=1980): elapsed time t=1.39 s, 1024 iters, t-(init.)=1.24 s
t(norm)=0.0564913, mflops=88.5092
2. CWP (best N) (N=1980): elapsed time t=1.4 s, 1024 iters, t-(init.)=1.26 s
t(norm)=0.0574025, mflops=87.1042
3. FFTPACK: elapsed time t=1.94 s, 512 iters, t-(init.)=1.87 s
t(norm)=0.170385, mflops=29.3453 (err=5.6e-16)
4. FFTPACK (f2c): elapsed time t=1.11 s, 256 iters, t-(init.)=1.07 s
t(norm)=0.194986, mflops=25.6428 (err=6.3e-16)
FFTW_MEASURE plan: (cost = 1.718750e-03)
FFTW_TWIDDLE 7
FFTW_TWIDDLE 5
FFTW_TWIDDLE 2
FFTW_TWIDDLE 2
FFTW_NOTW 14
5. FFTW: elapsed time t=1.84 s, 1024 iters, t-(init.)=1.69 s
t(norm)=0.0769922, mflops=64.9416 (err=5.6e-16)
FFTW_ESTIMATE plan: (cost = 9.662800e+04)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 7
FFTW_TWIDDLE 2
FFTW_NOTW 14
6. FFTW_ESTIMATE: elapsed time t=1.1 s, 512 iters, t-(init.)=1.02 s
t(norm)=0.0929374, mflops=53.7997 (err=5.6e-16)
7. Frigo-old: elapsed time t=1.53 s, 256 iters, t-(init.)=1.49 s
t(norm)=0.271523, mflops=18.4147 (err=6.9e-16)
8. GSL: elapsed time t=1.38 s, 256 iters, t-(init.)=1.34 s
t(norm)=0.244188, mflops=20.476 (err=7.0e-16)
9. Nielsen: elapsed time t=1.43 s, 256 iters, t-(init.)=1.39 s
t(norm)=0.2533, mflops=19.7395 (err=1.5e-14)
10. Singleton: elapsed time t=1.67 s, 512 iters, t-(init.)=1.6 s
t(norm)=0.145784, mflops=34.2973 (err=7.7e-16)
11. Singleton (f2c): elapsed time t=1.8 s, 512 iters, t-(init.)=1.73 s
t(norm)=0.157629, mflops=31.72 (err=7.7e-16)
12. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Valkenburg: elapsed time t=1.54 s, 64 iters, t-(init.)=1.53 s
t(norm)=1.11525, mflops=4.48331 (err=6.1e-16)
Top mflops for N=1960 = 88.5092
Normalized results and averages for N=1960:
fft 0: mflops = 13.4499 (norm. = 0.151961), norm. avg. (of 10) = 0.104349
fft 1: mflops = 88.5092 (norm. = 1), norm. avg. (of 13) = 0.728302
fft 2: mflops = 87.1042 (norm. = 0.984127), norm. avg. (of 13) = 0.706964
fft 3: mflops = 29.3453 (norm. = 0.331551), norm. avg. (of 13) = 0.489454
fft 4: mflops = 25.6428 (norm. = 0.28972), norm. avg. (of 13) = 0.444708
fft 5: mflops = 64.9416 (norm. = 0..733728), norm. avg. (of 13) = 0.857341
fft 6: mflops = 53.7997 (norm. = 0.607843), norm. avg. (of 13) = 0.814201
fft 7: mflops = 18.4147 (norm. = 0.208054), norm. avg. (of 13) = 0.220436
fft 8: mflops = 20.476 (norm. = 0.231343), norm. avg. (of 13) = 0.355235
fft 9: mflops = 19.7395 (norm. = 0.223022), norm. avg. (of 13) = 0.176527
fft 10: mflops = 34.2973 (norm. = 0.3875), norm. avg. (of 13) = 0.276313
fft 11: mflops = 31.72 (norm. = 0.358382), norm. avg. (of 13) = 0.349602
fft 12: mflops = -1 (norm. = -0.0112983), norm. avg. (of 10) = 0.37129
fft 13: mflops = -1 (norm. = -0.0112983), norm. avg. (of 10) = 0.300893
fft 14: mflops = 4.48331 (norm. = 0.0506536), norm. avg. (of 13) = 0.0569105
Benchmarking for array size = 4725:
0. Brenner: elapsed time t=1.69 s, 64 iters, t-(init.)=1.66 s
t(norm)=0.449727, mflops=11.1178 (err=1.4e-15)
1. CWP (min N) (N=5005): elapsed time t=1.05 s, 256 iters, t-(init.)=0.95 s
t(norm)=0.0643435, mflops=77.7079
2. CWP (best N) (N=5040): elapsed time t=1.86 s, 512 iters, t-(init.)=1.67 s
t(norm)=0.0565546, mflops=88.4102
3. FFTPACK: elapsed time t=1.14 s, 128 iters, t-(init.)=1.1 s
t(norm)=0.149006, mflops=33.5557 (err=1.2e-15)
4. FFTPACK (f2c): elapsed time t=1.23 s, 128 iters, t-(init.)=1.19 s
t(norm)=0.161198, mflops=31.0179 (err=1.3e-15)
FFTW_MEASURE plan: (cost = 5.000000e-03)
FFTW_TWIDDLE 7
FFTW_TWIDDLE 5
FFTW_TWIDDLE 3
FFTW_TWIDDLE 3
FFTW_NOTW 15
5. FFTW: elapsed time t=1.22 s, 256 iters, t-(init.)=1.13 s
t(norm)=0.0765349, mflops=65.3296 (err=1.2e-15)
FFTW_ESTIMATE plan: (cost = 1.946700e+05)
FFTW_TWIDDLE 9
FFTW_TWIDDLE 7
FFTW_TWIDDLE 5
FFTW_NOTW 15
6. FFTW_ESTIMATE: elapsed time t=1.56 s, 256 iters, t-(init.)=1.47 s
t(norm)=0.0995632, mflops=50.2194 (err=1.2e-15)
7. Frigo-old: elapsed time t=1.26 s, 64 iters, t-(init.)=1.24 s
t(norm)=0.335941, mflops=14.8836 (err=1.3e-15)
8. GSL: elapsed time t=1.55 s, 128 iters, t-(init.)=1.51 s
t(norm)=0.204545, mflops=24.4445 (err=1.3e-15)
9. Nielsen: elapsed time t=1.9 s, 128 iters, t-(init.)=1.86 s
t(norm)=0.251956, mflops=19.8448 (err=4.3e-14)
10. Singleton: elapsed time t=1.3 s, 128 iters, t-(init.)=1.25 s
t(norm)=0.169325, mflops=29.529 (err=1.8e-15)
11. Singleton (f2c): elapsed time t=1.21 s, 128 iters, t-(init.)=1.17 s
t(norm)=0.158488, mflops=31.5481 (err=1.8e-15)
12. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Valkenburg: elapsed time t=1.94 s, 32 iters, t-(init.)=1.93 s
t(norm)=1.04575, mflops=4.78125 (err=1.3e-15)
Top mflops for N=4725 = 88.4102
Normalized results and averages for N=4725:
fft 0: mflops = 11.1178 (norm. = 0.125753), norm. avg. (of 11) = 0.106295
fft 1: mflops = 77.7079 (norm. = 0.878947), norm. avg. (of 14) = 0.739063
fft 2: mflops = 88.4102 (norm. = 1), norm. avg. (of 14) = 0.727895
fft 3: mflops = 33.5557 (norm. = 0.379545), norm. avg. (of 14) = 0.481603
fft 4: mflops = 31.0179 (norm. = 0.35084), norm. avg. (of 14) = 0.438003
fft 5: mflops = 65.3296 (norm. = 0.738938), norm. avg. (of 14) = 0.848884
fft 6: mflops = 50.2194 (norm. = 0.568027), norm. avg. (of 14) = 0.796617
fft 7: mflops = 14.8836 (norm. = 0.168347), norm. avg. (of 14) = 0.216715
fft 8: mflops = 24.4445 (norm. = 0.27649), norm. avg. (of 14) = 0.349611
fft 9: mflops = 19.8448 (norm. = 0.224462), norm. avg. (of 14) = 0.179951
fft 10: mflops = 29.529 (norm. = 0.334), norm. avg. (of 14) = 0.280434
fft 11: mflops = 31.5481 (norm. = 0.356838), norm. avg. (of 14) = 0.350119
fft 12: mflops = -1 (norm. = -0.0113109), norm. avg. (of 10) = 0.37129
fft 13: mflops = -1 (norm. = -0.0113109), norm. avg. (of 10) = 0.300893
fft 14: mflops = 4.78125 (norm. = 0.0540803), norm. avg. (of 14) = 0.0567084
Benchmarking for array size = 10368:
0. Brenner: elapsed time t=1.02 s, 16 iters, t-(init.)=1.01 s
t(norm)=0.45641, mflops=10.9551 (err=1.1e-15)
1. CWP (min N) (N=10920): elapsed time t=1.24 s, 128 iters, t-(init.)=1.14 s
t(norm)=0.0643945, mflops=77.6464
2. CWP (best N) (N=11088): elapsed time t=1.22 s, 128 iters, t-(init.)=1.12
s
t(norm)=0.0632648, mflops=79.0329
3. FFTPACK: elapsed time t=1.17 s, 64 iters, t-(init.)=1.12 s
t(norm)=0.12653, mflops=39.5164 (err=9.8e-16)
4. FFTPACK (f2c): elapsed time t=1.16 s, 64 iters, t-(init.)=1.11 s
t(norm)=0.1254, mflops=39.8725 (err=1.1e-15)
FFTW_MEASURE plan: (cost = 9.687500e-03)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 3
FFTW_TWIDDLE 3
FFTW_TWIDDLE 3
FFTW_NOTW 12
5. FFTW: elapsed time t=1.23 s, 128 iters, t-(init.)=1.13 s
t(norm)=0.0638297, mflops=78.3335 (err=9.1e-16)
FFTW_ESTIMATE plan: (cost = 1.254528e+05)
FFTW_TWIDDLE 9
FFTW_TWIDDLE 6
FFTW_TWIDDLE 6
FFTW_NOTW 32
6. FFTW_ESTIMATE: elapsed time t=1.56 s, 128 iters, t-(init.)=1.46 s
t(norm)=0.0824702, mflops=60.628 (err=9.4e-16)
7. Frigo-old: elapsed time t=1 s, 32 iters, t-(init.)=0.97 s
t(norm)=0.219167, mflops=22.8136 (err=1.0e-15)
8. GSL: elapsed time t=1.94 s, 128 iters, t-(init.)=1.85 s
t(norm)=0.1045, mflops=47.8469 (err=9.4e-16)
9. Nielsen: elapsed time t=1.16 s, 32 iters, t-(init.)=1.14 s
t(norm)=0.257578, mflops=19.4116 (err=1.1e-14)
10. Singleton: elapsed time t=1.75 s, 64 iters, t-(init.)=1.7 s
t(norm)=0.192054, mflops=26.0344 (err=1.3e-15)
11. Singleton (f2c): elapsed time t=1.57 s, 64 iters, t-(init.)=1.52 s
t(norm)=0.171719, mflops=29.1174 (err=1.3e-15)
12. Temperton: elapsed time t=1.59 s, 64 iters, t-(init.)=1.55 s
t(norm)=0.175108, mflops=28.5538 (err=2.2e-07)
13. Temperton (f2c): elapsed time t=1.64 s, 64 iters, t-(init.)=1.59 s
t(norm)=0.179627, mflops=27.8355 (err=9.7e-16)
14. Valkenburg: elapsed time t=1 s, 8 iters, t-(init.)=1 s
t(norm)=0.903783, mflops=5.5323 (err=1.3e-15)
Top mflops for N=10368 = 79.0329
Normalized results and averages for N=10368:
fft 0: mflops = 10.9551 (norm. = 0.138614), norm. avg. (of 12) = 0.108988
fft 1: mflops = 77.6464 (norm. = 0.982456), norm. avg. (of 15) = 0.755289
fft 2: mflops = 79.0329 (norm. = 1), norm. avg. (of 15) = 0.746036
fft 3: mflops = 39.5164 (norm. = 0.5), norm. avg. (of 15) = 0.48283
fft 4: mflops = 39.8725 (norm. = 0.504505), norm. avg. (of 15) = 0.442436
fft 5: mflops = 78.3335 (norm. = 0.99115), norm. avg. (of 15) = 0.858368
fft 6: mflops = 60.628 (norm. = 0.767123), norm. avg. (of 15) = 0.794651
fft 7: mflops = 22.8136 (norm. = 0.28866), norm. avg. (of 15) = 0.221512
fft 8: mflops = 47.8469 (norm. = 0.605405), norm. avg. (of 15) = 0.366664
fft 9: mflops = 19.4116 (norm. = 0.245614), norm. avg. (of 15) = 0.184329
fft 10: mflops = 26.0344 (norm. = 0.329412), norm. avg. (of 15) = 0.283699
fft 11: mflops = 29.1174 (norm. = 0.368421), norm. avg. (of 15) = 0.351339
fft 12: mflops = 28.5538 (norm. = 0.36129), norm. avg. (of 11) = 0.370381
fft 13: mflops = 27.8355 (norm. = 0.352201), norm. avg. (of 11) = 0.305558
fft 14: mflops = 5.5323 (norm. = 0.07), norm. avg. (of 15) = 0.0575945
Benchmarking for array size = 27000:
0. Brenner: elapsed time t=1.83 s, 8 iters, t-(init.)=1.81 s
t(norm)=0.569242, mflops=8.78361 (err=3.6e-15)
1. CWP (min N) (N=27720): elapsed time t=1.84 s, 64 iters, t-(init.)=1.67 s
t(norm)=0.0656516, mflops=76.1596
2. CWP (best N) (N=27720): elapsed time t=1.84 s, 64 iters, t-(init.)=1.67 s
t(norm)=0.0656516, mflops=76.1596
3. FFTPACK: elapsed time t=1.07 s, 16 iters, t-(init.)=1.03 s
t(norm)=0.161967, mflops=30.8705 (err=3.4e-15)
4. FFTPACK (f2c): elapsed time t=1.11 s, 16 iters, t-(init.)=1.07 s
t(norm)=0.168257, mflops=29.7165 (err=3.5e-15)
FFTW_MEASURE plan: (cost = 4.250000e-02)
FFTW_TWIDDLE 5
FFTW_TWIDDLE 5
FFTW_TWIDDLE 3
FFTW_TWIDDLE 5
FFTW_TWIDDLE 2
FFTW_TWIDDLE 3
FFTW_NOTW 12
5. FFTW: elapsed time t=1.36 s, 32 iters, t-(init.)=1.28 s
t(norm)=0.10064, mflops=49.6823 (err=3.5e-15)
FFTW_ESTIMATE plan: (cost = 1.231200e+06)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 10
FFTW_TWIDDLE 9
FFTW_TWIDDLE 2
FFTW_NOTW 15
6. FFTW_ESTIMATE: elapsed time t=1.27 s, 32 iters, t-(init.)=1.19 s
t(norm)=0.0935633, mflops=53.4397 (err=3.5e-15)
7. Frigo-old: elapsed time t=1.07 s, 8 iters, t-(init.)=1.05 s
t(norm)=0.330223, mflops=15.1413 (err=3.6e-15)
8. GSL: elapsed time t=1.21 s, 16 iters, t-(init.)=1.17 s
t(norm)=0.183982, mflops=27.1766 (err=3.4e-15)
9. Nielsen: elapsed time t=1.57 s, 16 iters, t-(init.)=1.53 s
t(norm)=0.240591, mflops=20.7821 (err=2.0e-13)
10. Singleton: elapsed time t=1.35 s, 16 iters, t-(init.)=1.31 s
t(norm)=0.205997, mflops=24.2723 (err=5.0e-15)
11. Singleton (f2c): elapsed time t=1.18 s, 16 iters, t-(init.)=1.14 s
t(norm)=0.179264, mflops=27.8918 (err=5.0e-15)
12. Temperton: elapsed time t=1.16 s, 16 iters, t-(init.)=1.12 s
t(norm)=0.176119, mflops=28.3899 (err=1.4e-07)
13. Temperton (f2c): elapsed time t=1.16 s, 16 iters, t-(init.)=1.12 s
t(norm)=0.176119, mflops=28.3899 (err=3.6e-15)
14. Valkenburg: elapsed time t=1.69 s, 4 iters, t-(init.)=1.68 s
t(norm)=1.05672, mflops=4.73164 (err=3.4e-15)
Top mflops for N=27000 = 76.1596
Normalized results and averages for N=27000:
fft 0: mflops = 8.78361 (norm. = 0.115331), norm. avg. (of 13) = 0.109476
fft 1: mflops = 76.1596 (norm. = 1), norm. avg. (of 16) = 0.770583
fft 2: mflops = 76.1596 (norm. = 1), norm. avg. (of 16) = 0.761908
fft 3: mflops = 30.8705 (norm. = 0.40534), norm. avg. (of 16) = 0.477987
fft 4: mflops = 29.7165 (norm. = 0.390187), norm. avg. (of 16) = 0.439171
fft 5: mflops = 49.6823 (norm. = 0.652344), norm. avg. (of 16) = 0.845492
fft 6: mflops = 53.4397 (norm. = 0.701681), norm. avg. (of 16) = 0.78884
fft 7: mflops = 15.1413 (norm. = 0.19881), norm. avg. (of 16) = 0.220093
fft 8: mflops = 27.1766 (norm. = 0.356838), norm. avg. (of 16) = 0.366049
fft 9: mflops = 20.7821 (norm. = 0.272876), norm. avg. (of 16) = 0.189863
fft 10: mflops = 24.2723 (norm. = 0.318702), norm. avg. (of 16) = 0.285887
fft 11: mflops = 27.8918 (norm. = 0.366228), norm. avg. (of 16) = 0.35227
fft 12: mflops = 28.3899 (norm. = 0.372768), norm. avg. (of 12) = 0.37058
fft 13: mflops = 28.3899 (norm. = 0.372768), norm. avg. (of 12) = 0.311159
fft 14: mflops = 4.73164 (norm. = 0.062128), norm. avg. (of 16) = 0.0578778
Benchmarking for array size = 75600:
0. Brenner: elapsed time t=1.51 s, 2 iters, t-(init.)=1.49 s
t(norm)=0.608073, mflops=8.22269 (err=4.7e-15)
1. CWP (min N) (N=80080): elapsed time t=1.82 s, 16 iters, t-(init.)=1.65 s
t(norm)=0.0841712, mflops=59.4027
2. CWP (best N) (N=80080): elapsed time t=1.82 s, 16 iters, t-(init.)=1.65 s
t(norm)=0.0841712, mflops=59.4027
3. FFTPACK: elapsed time t=1.18 s, 4 iters, t-(init.)=1.14 s
t(norm)=0.232619, mflops=21.4944 (err=4.7e-15)
4. FFTPACK (f2c): elapsed time t=1.24 s, 4 iters, t-(init.)=1.2 s
t(norm)=0.244862, mflops=20.4197 (err=4.7e-15)
FFTW_MEASURE plan: (cost = 1.300000e-01)
FFTW_TWIDDLE 7
FFTW_TWIDDLE 5
FFTW_TWIDDLE 8
FFTW_TWIDDLE 3
FFTW_TWIDDLE 2
FFTW_TWIDDLE 3
FFTW_NOTW 15
5. FFTW: elapsed time t=1.02 s, 8 iters, t-(init.)=0.94 s
t(norm)=0.0959042, mflops=52.1354 (err=4.7e-15)
FFTW_ESTIMATE plan: (cost = 2.971080e+06)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 9
FFTW_TWIDDLE 8
FFTW_TWIDDLE 7
FFTW_NOTW 15
6. FFTW_ESTIMATE: elapsed time t=1.03 s, 8 iters, t-(init.)=0.95 s
t(norm)=0.0969245, mflops=51.5866 (err=4.7e-15)
7. Frigo-old: elapsed time t=1.73 s, 4 iters, t-(init.)=1.69 s
t(norm)=0.344847, mflops=14.4992 (err=4.7e-15)
8. GSL: elapsed time t=1.12 s, 4 iters, t-(init.)=1.08 s
t(norm)=0.220376, mflops=22.6885 (err=4.7e-15)
9. Nielsen: elapsed time t=1.54 s, 4 iters, t-(init.)=1.5 s
t(norm)=0.306077, mflops=16.3357 (err=4.8e-13)
10. Singleton: elapsed time t=1.37 s, 4 iters, t-(init.)=1.33 s
t(norm)=0.271388, mflops=18.4238 (err=6.1e-15)
11. Singleton (f2c): elapsed time t=1.27 s, 4 iters, t-(init.)=1.23 s
t(norm)=0.250983, mflops=19.9216 (err=6.1e-15)
12. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Valkenburg: elapsed time t=1.45 s, 1 iters, t-(init.)=1.44 s
t(norm)=1.17534, mflops=4.2541 (err=4.5e-15)
Top mflops for N=75600 = 59.4027
Normalized results and averages for N=75600:
fft 0: mflops = 8.22269 (norm. = 0.138423), norm. avg. (of 14) = 0.111543
fft 1: mflops = 59.4027 (norm. = 1), norm. avg. (of 17) = 0.784078
fft 2: mflops = 59.4027 (norm. = 1), norm. avg. (of 17) = 0.775914
fft 3: mflops = 21.4944 (norm. = 0.361842), norm. avg. (of 17) = 0.471155
fft 4: mflops = 20.4197 (norm. = 0.34375), norm. avg. (of 17) = 0.433558
fft 5: mflops = 52.1354 (norm. = 0.87766), norm. avg. (of 17) = 0.847384
fft 6: mflops = 51.5866 (norm. = 0.868421), norm. avg. (of 17) = 0.793521
fft 7: mflops = 14.4992 (norm. = 0.244083), norm. avg. (of 17) = 0.221504
fft 8: mflops = 22.6885 (norm. = 0.381944), norm. avg. (of 17) = 0.366984
fft 9: mflops = 16.3357 (norm. = 0.275), norm. avg. (of 17) = 0.194871
fft 10: mflops = 18.4238 (norm. = 0.31015), norm. avg. (of 17) = 0.287314
fft 11: mflops = 19.9216 (norm. = 0.335366), norm. avg. (of 17) = 0.351276
fft 12: mflops = -1 (norm. = -0.0168342), norm. avg. (of 12) = 0.37058
fft 13: mflops = -1 (norm. = -0.0168342), norm. avg. (of 12) = 0.311159
fft 14: mflops = 4.2541 (norm. = 0.0716146), norm. avg. (of 17) = 0.0586859
Benchmarking for array size = 165375:
0. Brenner: elapsed time t=2.01 s, 1 iters, t-(init.)=1.99 s
t(norm)=0.694144, mflops=7.20311 (err=1.2e-14)
1. CWP (min N) (N=180180): elapsed time t=1.28 s, 4 iters, t-(init.)=1.18 s
t(norm)=0.102901, mflops=48.5905
2. CWP (best N) (N=180180): elapsed time t=1.27 s, 4 iters, t-(init.)=1.17 s
t(norm)=0.102029, mflops=49.0058
3. FFTPACK: elapsed time t=1.1 s, 1 iters, t-(init.)=1.08 s
t(norm)=0.376722, mflops=13.2724 (err=1.2e-14)
4. FFTPACK (f2c): elapsed time t=1.18 s, 1 iters, t-(init.)=1.16 s
t(norm)=0.404627, mflops=12.3571 (err=1.2e-14)
FFTW_MEASURE plan: (cost = 3.400000e-01)
FFTW_TWIDDLE 7
FFTW_TWIDDLE 5
FFTW_TWIDDLE 3
FFTW_TWIDDLE 5
FFTW_TWIDDLE 7
FFTW_TWIDDLE 3
FFTW_NOTW 15
5. FFTW: elapsed time t=1.31 s, 4 iters, t-(init.)=1.22 s
t(norm)=0.106389, mflops=46.9974 (err=1.2e-14)
FFTW_ESTIMATE plan: (cost = 8.367975e+06)
FFTW_TWIDDLE 9
FFTW_TWIDDLE 7
FFTW_TWIDDLE 7
FFTW_TWIDDLE 5
FFTW_TWIDDLE 5
FFTW_NOTW 15
6. FFTW_ESTIMATE: elapsed time t=1.49 s, 4 iters, t-(init.)=1.4 s
t(norm)=0.122086, mflops=40.9548 (err=1.2e-14)
7. Frigo-old: elapsed time t=1.4 s, 1 iters, t-(init.)=1.37 s
t(norm)=0.477878, mflops=10.4629 (err=1.2e-14)
8. GSL: elapsed time t=1.63 s, 2 iters, t-(init.)=1.59 s
t(norm)=0.277309, mflops=18.0304 (err=1.2e-14)
9. Nielsen: elapsed time t=1.93 s, 2 iters, t-(init.)=1.88 s
t(norm)=0.327887, mflops=15.2491 (err=1.7e-12)
10. Singleton: elapsed time t=1.73 s, 2 iters, t-(init.)=1.69 s
t(norm)=0.29475, mflops=16.9635 (err=1.8e-14)
11. Singleton (f2c): elapsed time t=1.7 s, 2 iters, t-(init.)=1.65 s
t(norm)=0.287773, mflops=17.3748 (err=1.8e-14)
12. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Valkenburg: elapsed time t=3.63 s, 1 iters, t-(init.)=3.61 s
t(norm)=1.25923, mflops=3.97069 (err=1.2e-14)
Top mflops for N=165375 = 49.0058
Normalized results and averages for N=165375:
fft 0: mflops = 7.20311 (norm. = 0.146985), norm. avg. (of 15) = 0.113906
fft 1: mflops = 48.5905 (norm. = 0.991525), norm. avg. (of 18) = 0.795603
fft 2: mflops = 49.0058 (norm. = 1), norm. avg. (of 18) = 0.788363
fft 3: mflops = 13.2724 (norm. = 0.270833), norm. avg. (of 18) = 0.460026
fft 4: mflops = 12.3571 (norm. = 0.252155), norm. avg. (of 18) = 0.42348
fft 5: mflops = 46.9974 (norm. = 0.959016), norm. avg. (of 18) = 0.853586
fft 6: mflops = 40.9548 (norm. = 0.835714), norm. avg. (of 18) = 0.795865
fft 7: mflops = 10.4629 (norm. = 0.213504), norm. avg. (of 18) = 0.221059
fft 8: mflops = 18.0304 (norm. = 0.367925), norm. avg. (of 18) = 0.367037
fft 9: mflops = 15.2491 (norm. = 0.31117), norm. avg. (of 18) = 0.201332
fft 10: mflops = 16.9635 (norm. = 0.346154), norm. avg. (of 18) = 0.290583
fft 11: mflops = 17.3748 (norm. = 0.354545), norm. avg. (of 18) = 0.351457
fft 12: mflops = -1 (norm. = -0.0204058), norm. avg. (of 12) = 0.37058
fft 13: mflops = -1 (norm. = -0.0204058), norm. avg. (of 12) = 0.311159
fft 14: mflops = 3.97069 (norm. = 0.0810249), norm. avg. (of 18) = 0.0599269
Benchmarking for array size = 362880:
0. Brenner: elapsed time t=4.27 s, 1 iters, t-(init.)=4.22 s
t(norm)=0.629655, mflops=7.94085 (err=7.7e-15)
1. CWP (min N) (N=720720): elapsed time t=1.35 s, 1 iters, t-(init.)=1.25 s
t(norm)=0.186509, mflops=26.8083
2. CWP (best N) (N=720720): elapsed time t=1.35 s, 1 iters, t-(init.)=1.25 s
t(norm)=0.186509, mflops=26.8083
3. FFTPACK: elapsed time t=1.67 s, 1 iters, t-(init.)=1.62 s
t(norm)=0.241716, mflops=20.6854 (err=7.5e-15)
4. FFTPACK (f2c): elapsed time t=1.75 s, 1 iters, t-(init.)=1.71 s
t(norm)=0.255145, mflops=19.5967 (err=7.5e-15)
FFTW_MEASURE plan: (cost = 6.800000e-01)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 5
FFTW_TWIDDLE 3
FFTW_TWIDDLE 3
FFTW_TWIDDLE 7
FFTW_TWIDDLE 3
FFTW_NOTW 12
5. FFTW: elapsed time t=1.3 s, 2 iters, t-(init.)=1.2 s
t(norm)=0.0895245, mflops=55.8507 (err=7.6e-15)
FFTW_ESTIMATE plan: (cost = 7.511616e+06)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 9
FFTW_TWIDDLE 9
FFTW_TWIDDLE 7
FFTW_TWIDDLE 2
FFTW_NOTW 32
6. FFTW_ESTIMATE: elapsed time t=1.51 s, 2 iters, t-(init.)=1.41 s
t(norm)=0.105191, mflops=47.5325 (err=7.6e-15)
7. Frigo-old: elapsed time t=2.41 s, 1 iters, t-(init.)=2.36 s
t(norm)=0.35213, mflops=14.1993 (err=7.6e-15)
8. GSL: elapsed time t=1.34 s, 1 iters, t-(init.)=1.29 s
t(norm)=0.192478, mflops=25.9771 (err=7.5e-15)
9. Nielsen: elapsed time t=2.27 s, 1 iters, t-(init.)=2.22 s
t(norm)=0.331241, mflops=15.0948 (err=3.5e-12)
10. Singleton: elapsed time t=2.31 s, 1 iters, t-(init.)=2.26 s
t(norm)=0.337209, mflops=14.8276 (err=1.1e-14)
11. Singleton (f2c): elapsed time t=2.2 s, 1 iters, t-(init.)=2.15 s
t(norm)=0.320796, mflops=15.5862 (err=1.1e-14)
12. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Valkenburg: elapsed time t=8.3 s, 1 iters, t-(init.)=8.25 s
t(norm)=1.23096, mflops=4.06187 (err=7.9e-15)
Top mflops for N=362880 = 55.8507
Normalized results and averages for N=362880:
fft 0: mflops = 7.94085 (norm. = 0.14218), norm. avg. (of 16) = 0.115673
fft 1: mflops = 26.8083 (norm. = 0.48), norm. avg. (of 19) = 0.778992
fft 2: mflops = 26.8083 (norm. = 0.48), norm. avg. (of 19) = 0.772133
fft 3: mflops = 20.6854 (norm. = 0.37037), norm. avg. (of 19) = 0.455307
fft 4: mflops = 19.5967 (norm. = 0.350877), norm. avg. (of 19) = 0.419659
fft 5: mflops = 55.8507 (norm. = 1), norm. avg. (of 19) = 0.861292
fft 6: mflops = 47.5325 (norm. = 0.851064), norm. avg. (of 19) = 0.798771
fft 7: mflops = 14.1993 (norm. = 0.254237), norm. avg. (of 19) = 0.222806
fft 8: mflops = 25.9771 (norm. = 0.465116), norm. avg. (of 19) = 0.372199
fft 9: mflops = 15.0948 (norm. = 0.27027), norm. avg. (of 19) = 0.20496
fft 10: mflops = 14.8276 (norm. = 0.265487), norm. avg. (of 19) = 0.289262
fft 11: mflops = 15.5862 (norm. = 0.27907), norm. avg. (of 19) = 0.347647
fft 12: mflops = -1 (norm. = -0.0179049), norm. avg. (of 12) = 0.37058
fft 13: mflops = -1 (norm. = -0.0179049), norm. avg. (of 12) = 0.311159
fft 14: mflops = 4.06187 (norm. = 0.0727273), norm. avg. (of 19) = 0.0606006
------------------------------------------------------
@@@@ bench.3d.p2.log
Benchmarking for sizes: 4x4x4 (0.00128174 MB) 8x8x8 (0.00830078 MB) 16x16x16
(0.0633545 MB) 32x32x32 (0.501587 MB) 64x64x64 (4.00305 MB) 256x64x32
(8.01184 MB) 16x1024x64 (16.047 MB) 128x128x128 (32.006 MB) 512x128x64
(64.0236 MB)
Maximum array size N = 4194304
Benchmarking FFTs:
0. FFTW
1. HARM
2. HARM (f2c)
3. NR (C)
4. NR (F)
5. PDA
6. PDA (f2c)
7. Singleton
8. Singleton (f2c)
9. Temperton
10. Temperton (f2c)

Computing normalized averages (11 transforms).
Benchmarking for array size = 4x4x4 (power of 2):
0. FFTW: elapsed time t=1.42 s, 65536 iters, t-(init.)=1.33 s
t(norm)=0.0528495, mflops=94.6084 (err=3.0e-16)
1. Skipping fft (all dimensions must be > 4 for HARM).
2. Skipping fft (all dimensions must be > 4 for HARM).
3. NR (C): elapsed time t=1.18 s, 32768 iters, t-(init.)=1.13 s
t(norm)=0.0898043, mflops=55.6766 (err=3.0e-16)
4. NR (F): elapsed time t=1.85 s, 32768 iters, t-(init.)=1.8 s
t(norm)=0.143051, mflops=34.9525 (err=3.0e-16)
5. PDA: elapsed time t=1.63 s, 16384 iters, t-(init.)=1.6 s
t(norm)=0.254313, mflops=19.6608 (err=2.9e-16)
6. PDA (f2c): elapsed time t=1.92 s, 16384 iters, t-(init.)=1.89 s
t(norm)=0.300407, mflops=16.6441 (err=3.3e-16)
7. Singleton: elapsed time t=1.2 s, 32768 iters, t-(init.)=1.15 s
t(norm)=0.0913938, mflops=54.7083 (err=3.0e-16)
8. Singleton (f2c): elapsed time t=1.27 s, 32768 iters, t-(init.)=1.22 s
t(norm)=0.0969569, mflops=51.5693 (err=2.2e-16)
9. Temperton: elapsed time t=1.76 s, 32768 iters, t-(init.)=1.71 s
t(norm)=0.135899, mflops=36.7921 (err=4.1e-16)
10. Temperton (f2c): elapsed time t=1.64 s, 32768 iters, t-(init.)=1.59 s
t(norm)=0.126362, mflops=39.5689 (err=3.0e-16)
Top mflops for N=64 = 94.6084
Normalized results and averages for N=64:
fft 0: mflops = 94.6084 (norm. = 1), norm. avg. (of 1) = 1
fft 1: mflops = -1 (norm. = -0.0105699), norm. avg. (of 0) = -1
fft 2: mflops = -1 (norm. = -0.0105699), norm. avg. (of 0) = -1
fft 3: mflops = 55.6766 (norm. = 0.588496), norm. avg. (of 1) = 0.588496
fft 4: mflops = 34.9525 (norm. = 0.369444), norm. avg. (of 1) = 0.369444
fft 5: mflops = 19.6608 (norm. = 0.207812), norm. avg. (of 1) = 0.207812
fft 6: mflops = 16.6441 (norm. = 0.175926), norm. avg. (of 1) = 0.175926
fft 7: mflops = 54.7083 (norm. = 0.578261), norm. avg. (of 1) = 0.578261
fft 8: mflops = 51.5693 (norm. = 0.545082), norm. avg. (of 1) = 0.545082
fft 9: mflops = 36.7921 (norm. = 0.388889), norm. avg. (of 1) = 0.388889
fft 10: mflops = 39.5689 (norm. = 0.418239), norm. avg. (of 1) = 0.418239
Benchmarking for array size = 8x8x8 (power of 2):
0. FFTW: elapsed time t=1.05 s, 4096 iters, t-(init.)=1 s
t(norm)=0.0529819, mflops=94.3718 (err=2.8e-16)
1. HARM: elapsed time t=1.32 s, 4096 iters, t-(init.)=1.27 s
t(norm)=0.067287, mflops=74.3085 (err=3.3e-16)
2. HARM (f2c): elapsed time t=1.07 s, 2048 iters, t-(init.)=1.05 s
t(norm)=0.111262, mflops=44.939 (err=3.2e-16)
3. NR (C): elapsed time t=1.23 s, 4096 iters, t-(init.)=1.19 s
t(norm)=0.0630485, mflops=79.3041 (err=3.1e-16)
4. NR (F): elapsed time t=1.79 s, 4096 iters, t-(init.)=1.74 s
t(norm)=0.0921885, mflops=54.2367 (err=3.1e-16)
5. PDA: elapsed time t=1.43 s, 2048 iters, t-(init.)=1.41 s
t(norm)=0.149409, mflops=33.4652 (err=2.5e-16)
6. PDA (f2c): elapsed time t=1.67 s, 2048 iters, t-(init.)=1.64 s
t(norm)=0.173781, mflops=28.7719 (err=2.6e-16)
7. Singleton: elapsed time t=1.88 s, 4096 iters, t-(init.)=1.82 s
t(norm)=0.0964271, mflops=51.8527 (err=3.4e-16)
8. Singleton (f2c): elapsed time t=1.18 s, 4096 iters, t-(init.)=1.13 s
t(norm)=0.0598696, mflops=83.5149 (err=3.4e-16)
9. Temperton: elapsed time t=1 s, 2048 iters, t-(init.)=0.97 s
t(norm)=0.102785, mflops=48.6453 (err=1.1e-08)
10. Temperton (f2c): elapsed time t=1.74 s, 4096 iters, t-(init.)=1.7 s
t(norm)=0.0900692, mflops=55.5128 (err=3.0e-16)
Top mflops for N=512 = 94.3718
Normalized results and averages for N=512:
fft 0: mflops = 94.3718 (norm. = 1), norm. avg. (of 2) = 1
fft 1: mflops = 74.3085 (norm. = 0.787402), norm. avg. (of 1) = 0.787402
fft 2: mflops = 44.939 (norm. = 0.47619), norm. avg. (of 1) = 0.47619
fft 3: mflops = 79.3041 (norm. = 0.840336), norm. avg. (of 2) = 0.714416
fft 4: mflops = 54.2367 (norm. = 0.574713), norm. avg. (of 2) = 0.472079
fft 5: mflops = 33.4652 (norm. = 0.35461), norm. avg. (of 2) = 0.281211
fft 6: mflops = 28.7719 (norm. = 0.304878), norm. avg. (of 2) = 0.240402
fft 7: mflops = 51.8527 (norm. = 0.549451), norm. avg. (of 2) = 0.563856
fft 8: mflops = 83.5149 (norm. = 0.884956), norm. avg. (of 2) = 0.715019
fft 9: mflops = 48.6453 (norm. = 0.515464), norm. avg. (of 2) = 0.452176
fft 10: mflops = 55.5128 (norm. = 0.588235), norm. avg. (of 2) = 0.503237
Benchmarking for array size = 16x16x16 (power of 2):
0. FFTW: elapsed time t=1.78 s, 512 iters, t-(init.)=1.63 s
t(norm)=0.0647704, mflops=77.1958 (err=3.1e-16)
1. HARM: elapsed time t=1.82 s, 512 iters, t-(init.)=1.67 s
t(norm)=0.0663598, mflops=75.3468 (err=3.2e-16)
2. HARM (f2c): elapsed time t=1.49 s, 256 iters, t-(init.)=1.41 s
t(norm)=0.112057, mflops=44.6203 (err=3.1e-16)
3. NR (C): elapsed time t=1.38 s, 128 iters, t-(init.)=1.34 s
t(norm)=0.212987, mflops=23.4756 (err=3.5e-16)
4. NR (F): elapsed time t=1.51 s, 128 iters, t-(init.)=1.47 s
t(norm)=0.23365, mflops=21.3995 (err=3.5e-16)
5. PDA: elapsed time t=1.75 s, 256 iters, t-(init.)=1.67 s
t(norm)=0.13272, mflops=37.6734 (err=2.9e-16)
6. PDA (f2c): elapsed time t=1.86 s, 256 iters, t-(init.)=1.78 s
t(norm)=0.141462, mflops=35.3453 (err=2.9e-16)
7. Singleton: elapsed time t=1.88 s, 256 iters, t-(init.)=1.8 s
t(norm)=0.143051, mflops=34.9525 (err=3.5e-16)
8. Singleton (f2c): elapsed time t=1.03 s, 128 iters, t-(init.)=1 s
t(norm)=0.158946, mflops=31.4573 (err=3.3e-16)
9. Temperton: elapsed time t=1.7 s, 256 iters, t-(init.)=1.62 s
t(norm)=0.128746, mflops=38.8361 (err=6.0e-08)
10. Temperton (f2c): elapsed time t=1.52 s, 256 iters, t-(init.)=1.44 s
t(norm)=0.114441, mflops=43.6907 (err=3.1e-16)
Top mflops for N=4096 = 77.1958
Normalized results and averages for N=4096:
fft 0: mflops = 77.1958 (norm. = 1), norm. avg. (of 3) = 1
fft 1: mflops = 75.3468 (norm. = 0.976048), norm. avg. (of 2) = 0.881725
fft 2: mflops = 44.6203 (norm. = 0.578014), norm. avg. (of 2) = 0.527102
fft 3: mflops = 23.4756 (norm. = 0.304104), norm. avg. (of 3) = 0.577645
fft 4: mflops = 21.3995 (norm. = 0.277211), norm. avg. (of 3) = 0.407123
fft 5: mflops = 37.6734 (norm. = 0.488024), norm. avg. (of 3) = 0.350149
fft 6: mflops = 35.3453 (norm. = 0.457865), norm. avg. (of 3) = 0.31289
fft 7: mflops = 34.9525 (norm. = 0.452778), norm. avg. (of 3) = 0.52683
fft 8: mflops = 31.4573 (norm. = 0.4075), norm. avg. (of 3) = 0.612513
fft 9: mflops = 38.8361 (norm. = 0.503086), norm. avg. (of 3) = 0.469146
fft 10: mflops = 43.6907 (norm. = 0.565972), norm. avg. (of 3) = 0.524149
Benchmarking for array size = 32x32x32 (power of 2):
0. FFTW: elapsed time t=1.46 s, 32 iters, t-(init.)=1.36 s
t(norm)=0.0864665, mflops=57.8259 (err=4.1e-16)
1. HARM: elapsed time t=1.78 s, 32 iters, t-(init.)=1.67 s
t(norm)=0.106176, mflops=47.0917 (err=4.6e-16)
2. HARM (f2c): elapsed time t=1.22 s, 16 iters, t-(init.)=1.16 s
t(norm)=0.147502, mflops=33.8979 (err=4.3e-16)
3. NR (C): elapsed time t=1.21 s, 8 iters, t-(init.)=1.18 s
t(norm)=0.30009, mflops=16.6617 (err=4.2e-16)
4. NR (F): elapsed time t=1.3 s, 8 iters, t-(init.)=1.27 s
t(norm)=0.322978, mflops=15.4809 (err=4.2e-16)
5. PDA: elapsed time t=1.29 s, 16 iters, t-(init.)=1.23 s
t(norm)=0.156403, mflops=31.9688 (err=3.5e-16)
6. PDA (f2c): elapsed time t=1.35 s, 16 iters, t-(init.)=1.3 s
t(norm)=0.165304, mflops=30.2474 (err=3.6e-16)
7. Singleton: elapsed time t=1.84 s, 16 iters, t-(init.)=1.79 s
t(norm)=0.22761, mflops=21.9674 (err=4.4e-16)
8. Singleton (f2c): elapsed time t=1.87 s, 16 iters, t-(init.)=1.82 s
t(norm)=0.231425, mflops=21.6053 (err=4.2e-16)
9. Temperton: elapsed time t=1.37 s, 16 iters, t-(init.)=1.32 s
t(norm)=0.167847, mflops=29.7891 (err=9.6e-08)
10. Temperton (f2c): elapsed time t=1.32 s, 16 iters, t-(init.)=1.27 s
t(norm)=0.161489, mflops=30.9619 (err=4.0e-16)
Top mflops for N=32768 = 57.8259
Normalized results and averages for N=32768:
fft 0: mflops = 57.8259 (norm. = 1), norm. avg. (of 4) = 1
fft 1: mflops = 47.0917 (norm. = 0.814371), norm. avg. (of 3) = 0.859274
fft 2: mflops = 33.8979 (norm. = 0.586207), norm. avg. (of 3) = 0.546804
fft 3: mflops = 16.6617 (norm. = 0.288136), norm. avg. (of 4) = 0.505268
fft 4: mflops = 15.4809 (norm. = 0.267717), norm. avg. (of 4) = 0.372271
fft 5: mflops = 31.9688 (norm. = 0.552846), norm. avg. (of 4) = 0.400823
fft 6: mflops = 30.2474 (norm. = 0.523077), norm. avg. (of 4) = 0.365437
fft 7: mflops = 21.9674 (norm. = 0.379888), norm. avg. (of 4) = 0.490094
fft 8: mflops = 21.6053 (norm. = 0.373626), norm. avg. (of 4) = 0.552791
fft 9: mflops = 29.7891 (norm. = 0.515152), norm. avg. (of 4) = 0.480648
fft 10: mflops = 30.9619 (norm. = 0.535433), norm. avg. (of 4) = 0.52697
Benchmarking for array size = 64x64x64 (power of 2):
0. FFTW: elapsed time t=1.25 s, 2 iters, t-(init.)=1.17 s
t(norm)=0.123978, mflops=40.3298 (err=4.3e-16)
1. HARM: elapsed time t=1.3 s, 2 iters, t-(init.)=1.23 s
t(norm)=0.130335, mflops=38.3625 (err=4.9e-16)
2. HARM (f2c): elapsed time t=1.65 s, 2 iters, t-(init.)=1.58 s
t(norm)=0.167423, mflops=29.8645 (err=4.3e-16)
3. NR (C): elapsed time t=2.13 s, 1 iters, t-(init.)=2.1 s
t(norm)=0.445048, mflops=11.2347 (err=4.9e-16)
4. NR (F): elapsed time t=2.22 s, 1 iters, t-(init.)=2.19 s
t(norm)=0.464122, mflops=10.773 (err=4.9e-16)
5. PDA: elapsed time t=1.7 s, 2 iters, t-(init.)=1.63 s
t(norm)=0.172721, mflops=28.9484 (err=4.4e-16)
6. PDA (f2c): elapsed time t=1.72 s, 2 iters, t-(init.)=1.65 s
t(norm)=0.17484, mflops=28.5975 (err=4.4e-16)
7. Singleton: elapsed time t=1.4 s, 1 iters, t-(init.)=1.36 s
t(norm)=0.288222, mflops=17.3478 (err=5.0e-16)
8. Singleton (f2c): elapsed time t=1.44 s, 1 iters, t-(init.)=1.4 s
t(norm)=0.296699, mflops=16.8521 (err=4.8e-16)
9. Temperton: elapsed time t=1.85 s, 2 iters, t-(init.)=1.78 s
t(norm)=0.188616, mflops=26.5089 (err=1.4e-07)
10. Temperton (f2c): elapsed time t=1.78 s, 2 iters, t-(init.)=1.71 s
t(norm)=0.181198, mflops=27.5941 (err=4.4e-16)
Top mflops for N=262144 = 40.3298
Normalized results and averages for N=262144:
fft 0: mflops = 40.3298 (norm. = 1), norm. avg. (of 5) = 1
fft 1: mflops = 38.3625 (norm. = 0.95122), norm. avg. (of 4) = 0.88226
fft 2: mflops = 29.8645 (norm. = 0.740506), norm. avg. (of 4) = 0.595229
fft 3: mflops = 11.2347 (norm. = 0.278571), norm. avg. (of 5) = 0.459929
fft 4: mflops = 10.773 (norm. = 0.267123), norm. avg. (of 5) = 0.351242
fft 5: mflops = 28.9484 (norm. = 0.717791), norm. avg. (of 5) = 0.464217
fft 6: mflops = 28.5975 (norm. = 0.709091), norm. avg. (of 5) = 0.434167
fft 7: mflops = 17.3478 (norm. = 0.430147), norm. avg. (of 5) = 0.478105
fft 8: mflops = 16.8521 (norm. = 0.417857), norm. avg. (of 5) = 0.525804
fft 9: mflops = 26.5089 (norm. = 0.657303), norm. avg. (of 5) = 0.515979
fft 10: mflops = 27.5941 (norm. = 0.684211), norm. avg. (of 5) = 0.558418
Benchmarking for array size = 256x64x32 (power of 2):
0. FFTW: elapsed time t=1.22 s, 1 iters, t-(init.)=1.14 s
t(norm)=0.114441, mflops=43.6907 (err=5.7e-16)
1. HARM: elapsed time t=1.44 s, 1 iters, t-(init.)=1.37 s
t(norm)=0.13753, mflops=36.3557 (err=6.1e-16)
2. HARM (f2c): elapsed time t=1.81 s, 1 iters, t-(init.)=1.74 s
t(norm)=0.174673, mflops=28.6249 (err=5.9e-16)
3. NR (C): elapsed time t=4.55 s, 1 iters, t-(init.)=4.48 s
t(norm)=0.449733, mflops=11.1177 (err=5.7e-16)
4. NR (F): elapsed time t=4.71 s, 1 iters, t-(init.)=4.64 s
t(norm)=0.465795, mflops=10.7343 (err=5.7e-16)
5. PDA: elapsed time t=1.65 s, 1 iters, t-(init.)=1.57 s
t(norm)=0.157607, mflops=31.7244 (err=4.9e-16)
6. PDA (f2c): elapsed time t=1.66 s, 1 iters, t-(init.)=1.58 s
t(norm)=0.158611, mflops=31.5236 (err=5.1e-16)
7. Singleton: elapsed time t=3.09 s, 1 iters, t-(init.)=3.02 s
t(norm)=0.303168, mflops=16.4925 (err=7.2e-16)
8. Singleton (f2c): elapsed time t=3.2 s, 1 iters, t-(init.)=3.13 s
t(norm)=0.314211, mflops=15.9129 (err=7.1e-16)
9. Temperton: elapsed time t=2 s, 1 iters, t-(init.)=1.93 s
t(norm)=0.193746, mflops=25.8069 (err=1.5e-07)
10. Temperton (f2c): elapsed time t=1.89 s, 1 iters, t-(init.)=1.82 s
t(norm)=0.182704, mflops=27.3667 (err=5.5e-16)
Top mflops for N=524288 = 43.6907
Normalized results and averages for N=524288:
fft 0: mflops = 43.6907 (norm. = 1), norm. avg. (of 6) = 1
fft 1: mflops = 36.3557 (norm. = 0.832117), norm. avg. (of 5) = 0.872231
fft 2: mflops = 28.6249 (norm. = 0.655172), norm. avg. (of 5) = 0.607218
fft 3: mflops = 11.1177 (norm. = 0.254464), norm. avg. (of 6) = 0.425685
fft 4: mflops = 10.7343 (norm. = 0.24569), norm. avg. (of 6) = 0.33365
fft 5: mflops = 31.7244 (norm. = 0.726115), norm. avg. (of 6) = 0.507866
fft 6: mflops = 31.5236 (norm. = 0.721519), norm. avg. (of 6) = 0.482059
fft 7: mflops = 16.4925 (norm. = 0.377483), norm. avg. (of 6) = 0.461335
fft 8: mflops = 15.9129 (norm. = 0.364217), norm. avg. (of 6) = 0.498873
fft 9: mflops = 25.8069 (norm. = 0.590674), norm. avg. (of 6) = 0.528428
fft 10: mflops = 27.3667 (norm. = 0.626374), norm. avg. (of 6) = 0.569744
Benchmarking for array size = 16x1024x64 (power of 2):
0. FFTW: elapsed time t=2.65 s, 1 iters, t-(init.)=2.5 s
t(norm)=0.119209, mflops=41.943 (err=5.9e-16)
1. HARM: elapsed time t=2.92 s, 1 iters, t-(init.)=2.78 s
t(norm)=0.132561, mflops=37.7186 (err=5.8e-16)
2. HARM (f2c): elapsed time t=3.74 s, 1 iters, t-(init.)=3.6 s
t(norm)=0.171661, mflops=29.1271 (err=5.5e-16)
3. NR (C): elapsed time t=9.89 s, 1 iters, t-(init.)=9.74 s
t(norm)=0.464439, mflops=10.7657 (err=7.3e-16)
4. NR (F): elapsed time t=10.2 s, 1 iters, t-(init.)=10.06 s
t(norm)=0.479698, mflops=10.4232 (err=7.3e-16)
5. PDA: elapsed time t=4.42 s, 1 iters, t-(init.)=4.28 s
t(norm)=0.204086, mflops=24.4994 (err=6.0e-16)
6. PDA (f2c): elapsed time t=4.37 s, 1 iters, t-(init.)=4.22 s
t(norm)=0.201225, mflops=24.8478 (err=6.0e-16)
7. Singleton: elapsed time t=6.18 s, 1 iters, t-(init.)=6.04 s
t(norm)=0.28801, mflops=17.3605 (err=7.1e-16)
8. Singleton (f2c): elapsed time t=6.22 s, 1 iters, t-(init.)=6.07 s
t(norm)=0.28944, mflops=17.2747 (err=6.9e-16)
9. Skipping fft (Temperton can't handle dimensions > 256).
10. Skipping fft (Temperton can't handle dimensions > 256).
Top mflops for N=1048576 = 41.943
Normalized results and averages for N=1048576:
fft 0: mflops = 41.943 (norm. = 1), norm. avg. (of 7) = 1
fft 1: mflops = 37.7186 (norm. = 0.899281), norm. avg. (of 6) = 0.87674
fft 2: mflops = 29.1271 (norm. = 0.694444), norm. avg. (of 6) = 0.621756
fft 3: mflops = 10.7657 (norm. = 0.256674), norm. avg. (of 7) = 0.40154
fft 4: mflops = 10.4232 (norm. = 0.248509), norm. avg. (of 7) = 0.321487
fft 5: mflops = 24.4994 (norm. = 0.584112), norm. avg. (of 7) = 0.518759
fft 6: mflops = 24.8478 (norm. = 0.592417), norm. avg. (of 7) = 0.497825
fft 7: mflops = 17.3605 (norm. = 0.413907), norm. avg. (of 7) = 0.454559
fft 8: mflops = 17.2747 (norm. = 0.411862), norm. avg. (of 7) = 0.486443
fft 9: mflops = -1 (norm. = -0.0238419), norm. avg. (of 6) = 0.528428
fft 10: mflops = -1 (norm. = -0.0238419), norm. avg. (of 6) = 0.569744
Benchmarking for array size = 128x128x128 (power of 2):
0. FFTW: elapsed time t=5.53 s, 1 iters, t-(init.)=5.23 s
t(norm)=0.118755, mflops=42.1034 (err=6.5e-16)
1. HARM: elapsed time t=6.41 s, 1 iters, t-(init.)=6.12 s
t(norm)=0.138964, mflops=35.9805 (err=6.3e-16)
2. HARM (f2c): elapsed time t=7.89 s, 1 iters, t-(init.)=7.6 s
t(norm)=0.17257, mflops=28.9738 (err=6.1e-16)
3. NR (C): elapsed time t=21.85 s, 1 iters, t-(init.)=21.56 s
t(norm)=0.489553, mflops=10.2134 (err=7.5e-16)
4. NR (F): elapsed time t=22.4 s, 1 iters, t-(init.)=22.11 s
t(norm)=0.502041, mflops=9.95934 (err=7.5e-16)
5. PDA: elapsed time t=7.21 s, 1 iters, t-(init.)=6.92 s
t(norm)=0.157129, mflops=31.8209 (err=6.7e-16)
6. PDA (f2c): elapsed time t=7.21 s, 1 iters, t-(init.)=6.92 s
t(norm)=0.157129, mflops=31.8209 (err=6.7e-16)
7. Singleton: elapsed time t=18.61 s, 1 iters, t-(init.)=18.32 s
t(norm)=0.415984, mflops=12.0197 (err=8.0e-16)
8. Singleton (f2c): elapsed time t=18.33 s, 1 iters, t-(init.)=18.04 s
t(norm)=0.409626, mflops=12.2063 (err=7.9e-16)
9. Temperton: elapsed time t=12.19 s, 1 iters, t-(init.)=11.89 s
t(norm)=0.269981, mflops=18.5198 (err=1.5e-07)
10. Temperton (f2c): elapsed time t=11.82 s, 1 iters, t-(init.)=11.53 s
t(norm)=0.261806, mflops=19.0981 (err=7.1e-16)
Top mflops for N=2097152 = 42.1034
Normalized results and averages for N=2097152:
fft 0: mflops = 42.1034 (norm. = 1), norm. avg. (of 8) = 1
fft 1: mflops = 35.9805 (norm. = 0.854575), norm. avg. (of 7) = 0.873573
fft 2: mflops = 28.9738 (norm. = 0.688158), norm. avg. (of 7) = 0.631242
fft 3: mflops = 10.2134 (norm. = 0.242579), norm. avg. (of 8) = 0.38167
fft 4: mflops = 9.95934 (norm. = 0.236545), norm. avg. (of 8) = 0.310869
fft 5: mflops = 31.8209 (norm. = 0.75578), norm. avg. (of 8) = 0.548386
fft 6: mflops = 31.8209 (norm. = 0.75578), norm. avg. (of 8) = 0.530069
fft 7: mflops = 12.0197 (norm. = 0.28548), norm. avg. (of 8) = 0.433424
fft 8: mflops = 12.2063 (norm. = 0.289911), norm. avg. (of 8) = 0.461876
fft 9: mflops = 18.5198 (norm. = 0.439865), norm. avg. (of 7) = 0.515776
fft 10: mflops = 19.0981 (norm. = 0.453599), norm. avg. (of 7) = 0.553152
Benchmarking for array size = 512x128x64 (power of 2):
0. FFTW: elapsed time t=11.25 s, 1 iters, t-(init.)=10.65 s
t(norm)=0.115416, mflops=43.3214 (err=7.2e-16)
1. HARM: elapsed time t=13.26 s, 1 iters, t-(init.)=12.66 s
t(norm)=0.137199, mflops=36.4434 (err=7.3e-16)
2. HARM (f2c): elapsed time t=16.43 s, 1 iters, t-(init.)=15.84 s
t(norm)=0.171661, mflops=29.1271 (err=7.0e-16)
3. NR (C): elapsed time t=48.21 s, 1 iters, t-(init.)=47.62 s
t(norm)=0.516068, mflops=9.68865 (err=8.1e-16)
4. NR (F): elapsed time t=49.13 s, 1 iters, t-(init.)=48.53 s
t(norm)=0.52593, mflops=9.50697 (err=8.1e-16)
5. PDA: elapsed time t=16.17 s, 1 iters, t-(init.)=15.58 s
t(norm)=0.168844, mflops=29.6132 (err=7.6e-16)
6. PDA (f2c): elapsed time t=16.22 s, 1 iters, t-(init.)=15.63 s
t(norm)=0.169386, mflops=29.5185 (err=7.6e-16)
7. Singleton: elapsed time t=34.07 s, 1 iters, t-(init.)=33.48 s
t(norm)=0.36283, mflops=13.7806 (err=9.6e-16)
8. Singleton (f2c): elapsed time t=35.17 s, 1 iters, t-(init.)=34.57 s
t(norm)=0.374642, mflops=13.3461 (err=9.4e-16)
9. Skipping fft (Temperton can't handle dimensions > 256).
10. Skipping fft (Temperton can't handle dimensions > 256).
Top mflops for N=4194304 = 43.3214
Normalized results and averages for N=4194304:
fft 0: mflops = 43.3214 (norm. = 1), norm. avg. (of 9) = 1
fft 1: mflops = 36.4434 (norm. = 0.841232), norm. avg. (of 8) = 0.869531
fft 2: mflops = 29.1271 (norm. = 0.672348), norm. avg. (of 8) = 0.63638
fft 3: mflops = 9.68865 (norm. = 0.223646), norm. avg. (of 9) = 0.364112
fft 4: mflops = 9.50697 (norm. = 0.219452), norm. avg. (of 9) = 0.300711
fft 5: mflops = 29.6132 (norm. = 0.683569), norm. avg. (of 9) = 0.563407
fft 6: mflops = 29.5185 (norm. = 0.681382), norm. avg. (of 9) = 0.546882
fft 7: mflops = 13.7806 (norm. = 0.3181), norm. avg. (of 9) = 0.420611
fft 8: mflops = 13.3461 (norm. = 0.308071), norm. avg. (of 9) = 0.444787
fft 9: mflops = -1 (norm. = -0.0230833), norm. avg. (of 7) = 0.515776
fft 10: mflops = -1 (norm. = -0.0230833), norm. avg. (of 7) = 0.553152
------------------------------------------------------
@@@@ bench.3d.np2.log
Benchmarking for sizes: 5x5x5 (0.0022583 MB) 6x6x6 (0.00369263 MB) 7x7x7
(0.00567627 MB) 9x9x9 (0.0116577 MB) 10x10x10 (0.0158386 MB) 11x11x11
(0.0209351 MB) 12x12x12 (0.0270386 MB) 13x13x13 (0.0342407 MB) 14x14x14
(0.0426331 MB) 15x15x15 (0.052
3071 MB) 24x25x28 (0.257751 MB) 48x48x48 (1.68982 MB) 49x49x49 (1.79755 MB)
60x60x60 (3.29877 MB) 72x60x56 (3.69482 MB) 75x75x75 (6.44086 MB) 80x80x80
(7.81628 MB) 84x84x84 (9.04791 MB) 96x96x96 (13.5045 MB) 105x105x105
(17.6689 MB) 112x112x112
(21.4427 MB) 120x120x120 (26.3728 MB) 144x144x144 (45.5692 MB) 180x180x180
(88.9976 MB)
Maximum array size N = 5832000
Benchmarking FFTs:
0. FFTW
1. PDA
2. PDA (f2c)
3. Singleton
4. Singleton (f2c)
5. Temperton
6. Temperton (f2c)

Computing normalized averages (7 transforms).
Benchmarking for array size = 5x5x5:
0. FFTW: elapsed time t=1 s, 16384 iters, t-(init.)=0.95 s
t(norm)=0.0665922, mflops=75.0838 (err=2.9e-16)
1. PDA: elapsed time t=1.67 s, 8192 iters, t-(init.)=1.65 s
t(norm)=0.23132, mflops=21.615 (err=2.5e-16)
2. PDA (f2c): elapsed time t=1.01 s, 4096 iters, t-(init.)=1 s
t(norm)=0.280388, mflops=17.8324 (err=2.4e-16)
3. Singleton: elapsed time t=1.48 s, 16384 iters, t-(init.)=1.43 s
t(norm)=0.100239, mflops=49.8809 (err=3.2e-16)
4. Singleton (f2c): elapsed time t=1.18 s, 16384 iters, t-(init.)=1.13 s
t(norm)=0.0792097, mflops=63.1236 (err=2.6e-16)
5. Temperton: elapsed time t=1.02 s, 16384 iters, t-(init.)=0.97 s
t(norm)=0.0679942, mflops=73.5357 (err=3.8e-08)
6. Temperton (f2c): elapsed time t=1.49 s, 16384 iters, t-(init.)=1.44 s
t(norm)=0.10094, mflops=49.5345 (err=1.7e-16)
Top mflops for N=125 = 75.0838
Normalized results and averages for N=125:
fft 0: mflops = 75.0838 (norm. = 1), norm. avg. (of 1) = 1
fft 1: mflops = 21.615 (norm. = 0.287879), norm. avg. (of 1) = 0.287879
fft 2: mflops = 17.8324 (norm. = 0.2375), norm. avg. (of 1) = 0.2375
fft 3: mflops = 49.8809 (norm. = 0.664336), norm. avg. (of 1) = 0.664336
fft 4: mflops = 63.1236 (norm. = 0.840708), norm. avg. (of 1) = 0.840708
fft 5: mflops = 73.5357 (norm. = 0.979381), norm. avg. (of 1) = 0.979381
fft 6: mflops = 49.5345 (norm. = 0.659722), norm. avg. (of 1) = 0.659722
Benchmarking for array size = 6x6x6:
0. FFTW: elapsed time t=1.41 s, 16384 iters, t-(init.)=1.33 s
t(norm)=0.0484621, mflops=103.173 (err=2.3e-16)
1. PDA: elapsed time t=1.37 s, 4096 iters, t-(init.)=1.35 s
t(norm)=0.196764, mflops=25.4112 (err=3.7e-16)
2. PDA (f2c): elapsed time t=1.69 s, 4096 iters, t-(init.)=1.67 s
t(norm)=0.243404, mflops=20.542 (err=3.8e-16)
3. Singleton: elapsed time t=1.69 s, 8192 iters, t-(init.)=1.64 s
t(norm)=0.119516, mflops=41.8355 (err=3.0e-16)
4. Singleton (f2c): elapsed time t=1.22 s, 8192 iters, t-(init.)=1.18 s
t(norm)=0.0859929, mflops=58.1443 (err=3.0e-16)
5. Temperton: elapsed time t=1.01 s, 8192 iters, t-(init.)=0.97 s
t(norm)=0.0706891, mflops=70.7322 (err=1.7e-08)
6. Temperton (f2c): elapsed time t=1.79 s, 8192 iters, t-(init.)=1.75 s
t(norm)=0.127532, mflops=39.2059 (err=2.9e-16)
Top mflops for N=216 = 103.173
Normalized results and averages for N=216:
fft 0: mflops = 103.173 (norm. = 1), norm. avg. (of 2) = 1
fft 1: mflops = 25.4112 (norm. = 0.246296), norm. avg. (of 2) = 0.267088
fft 2: mflops = 20.542 (norm. = 0.199102), norm. avg. (of 2) = 0.218301
fft 3: mflops = 41.8355 (norm. = 0.405488), norm. avg. (of 2) = 0.534912
fft 4: mflops = 58.1443 (norm. = 0.563559), norm. avg. (of 2) = 0.702134
fft 5: mflops = 70.7322 (norm. = 0.685567), norm. avg. (of 2) = 0.832474
fft 6: mflops = 39.2059 (norm. = 0.38), norm. avg. (of 2) = 0.519861
Benchmarking for array size = 7x7x7:
0. FFTW: elapsed time t=1.48 s, 8192 iters, t-(init.)=1.42 s
t(norm)=0.0600048, mflops=83.3267 (err=2.1e-16)
1. PDA: elapsed time t=1.96 s, 2048 iters, t-(init.)=1.94 s
t(norm)=0.327913, mflops=15.2479 (err=3.7e-16)
2. PDA (f2c): elapsed time t=1.15 s, 1024 iters, t-(init.)=1.15 s
t(norm)=0.388763, mflops=12.8613 (err=3.4e-16)
3. Singleton: elapsed time t=1.09 s, 4096 iters, t-(init.)=1.05 s
t(norm)=0.0887394, mflops=56.3447 (err=4.2e-16)
4. Singleton (f2c): elapsed time t=1.84 s, 4096 iters, t-(init.)=1.81 s
t(norm)=0.15297, mflops=32.6862 (err=4.2e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
Top mflops for N=343 = 83.3267
Normalized results and averages for N=343:
fft 0: mflops = 83.3267 (norm. = 1), norm. avg. (of 3) = 1
fft 1: mflops = 15.2479 (norm. = 0.18299), norm. avg. (of 3) = 0.239055
fft 2: mflops = 12.8613 (norm. = 0.154348), norm. avg. (of 3) = 0.196983
fft 3: mflops = 56.3447 (norm. = 0.67619), norm. avg. (of 3) = 0.582005
fft 4: mflops = 32.6862 (norm. = 0.392265), norm. avg. (of 3) = 0.598844
fft 5: mflops = -1 (norm. = -0.012001), norm. avg. (of 2) = 0.832474
fft 6: mflops = -1 (norm. = -0.012001), norm. avg. (of 2) = 0.519861
Benchmarking for array size = 9x9x9:
0. FFTW: elapsed time t=1.34 s, 4096 iters, t-(init.)=1.28 s
t(norm)=0.0450767, mflops=110.922 (err=4.1e-16)
1. PDA: elapsed time t=1.02 s, 1024 iters, t-(init.)=1 s
t(norm)=0.140865, mflops=35.495 (err=3.2e-16)
2. PDA (f2c): elapsed time t=1.32 s, 1024 iters, t-(init.)=1.3 s
t(norm)=0.183124, mflops=27.3039 (err=3.6e-16)
3. Singleton: elapsed time t=1.75 s, 2048 iters, t-(init.)=1.71 s
t(norm)=0.120439, mflops=41.5147 (err=3.6e-16)
4. Singleton (f2c): elapsed time t=1.18 s, 2048 iters, t-(init.)=1.14 s
t(norm)=0.0802929, mflops=62.272 (err=3.6e-16)
5. Temperton: elapsed time t=1.02 s, 2048 iters, t-(init.)=0.99 s
t(norm)=0.069728, mflops=71.7072 (err=5.3e-08)
6. Temperton (f2c): elapsed time t=1.48 s, 2048 iters, t-(init.)=1.45 s
t(norm)=0.102127, mflops=48.9587 (err=3.5e-16)
Top mflops for N=729 = 110.922
Normalized results and averages for N=729:
fft 0: mflops = 110.922 (norm. = 1), norm. avg. (of 4) = 1
fft 1: mflops = 35.495 (norm. = 0.32), norm. avg. (of 4) = 0.259291
fft 2: mflops = 27.3039 (norm. = 0.246154), norm. avg. (of 4) = 0.209276
fft 3: mflops = 41.5147 (norm. = 0.374269), norm. avg. (of 4) = 0.530071
fft 4: mflops = 62.272 (norm. = 0.561404), norm. avg. (of 4) = 0.589484
fft 5: mflops = 71.7072 (norm. = 0.646465), norm. avg. (of 3) = 0.770471
fft 6: mflops = 48.9587 (norm. = 0.441379), norm. avg. (of 3) = 0.493701
Benchmarking for array size = 10x10x10:
0. FFTW: elapsed time t=1.03 s, 2048 iters, t-(init.)=0.97 s
t(norm)=0.0475259, mflops=105.206 (err=2.6e-16)
1. PDA: elapsed time t=1.52 s, 1024 iters, t-(init.)=1.49 s
t(norm)=0.146007, mflops=34.2448 (err=2.8e-16)
2. PDA (f2c): elapsed time t=1.82 s, 1024 iters, t-(init.)=1.79 s
t(norm)=0.175405, mflops=28.5055 (err=3.1e-16)
3. Singleton: elapsed time t=1.27 s, 1024 iters, t-(init.)=1.24 s
t(norm)=0.12151, mflops=41.149 (err=3.8e-16)
4. Singleton (f2c): elapsed time t=1.02 s, 1024 iters, t-(init.)=1 s
t(norm)=0.0979915, mflops=51.0248 (err=3.7e-16)
5. Temperton: elapsed time t=1.08 s, 2048 iters, t-(init.)=1.03 s
t(norm)=0.0504656, mflops=99.0773 (err=2.5e-08)
6. Temperton (f2c): elapsed time t=1.09 s, 1024 iters, t-(init.)=1.06 s
t(norm)=0.103871, mflops=48.1366 (err=2.8e-16)
Top mflops for N=1000 = 105.206
Normalized results and averages for N=1000:
fft 0: mflops = 105.206 (norm. = 1), norm. avg. (of 5) = 1
fft 1: mflops = 34.2448 (norm. = 0.325503), norm. avg. (of 5) = 0.272534
fft 2: mflops = 28.5055 (norm. = 0.27095), norm. avg. (of 5) = 0.221611
fft 3: mflops = 41.149 (norm. = 0.391129), norm.. avg. (of 5) = 0.502282
fft 4: mflops = 51.0248 (norm. = 0.485), norm. avg. (of 5) = 0.568587
fft 5: mflops = 99.0773 (norm. = 0.941748), norm. avg. (of 4) = 0.81329
fft 6: mflops = 48.1366 (norm. = 0.457547), norm. avg. (of 4) = 0.484662
Benchmarking for array size = 11x11x11:
0. FFTW: elapsed time t=1.35 s, 1024 iters, t-(init.)=1.25 s
t(norm)=0.0883702, mflops=56.5801 (err=2.4e-16)
1. PDA: elapsed time t=1.13 s, 256 iters, t-(init.)=1.11 s
t(norm)=0.313891, mflops=15.9291 (err=4.2e-16)
2. PDA (f2c): elapsed time t=1.34 s, 256 iters, t-(init.)=1.31 s
t(norm)=0.370448, mflops=13.4972 (err=4.3e-16)
3. Singleton: elapsed time t=1.6 s, 1024 iters, t-(init.)=1.5 s
t(norm)=0.106044, mflops=47.1501 (err=3.8e-16)
4. Singleton (f2c): elapsed time t=1.4 s, 512 iters, t-(init.)=1.35 s
t(norm)=0.19088, mflops=26.1945 (err=3.8e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
Top mflops for N=1331 = 56.5801
Normalized results and averages for N=1331:
fft 0: mflops = 56.5801 (norm. = 1), norm. avg. (of 6) = 1
fft 1: mflops = 15.9291 (norm. = 0.281532), norm. avg. (of 6) = 0.274033
fft 2: mflops = 13.4972 (norm. = 0.23855), norm. avg. (of 6) = 0.224434
fft 3: mflops = 47.1501 (norm. = 0.833333), norm. avg. (of 6) = 0.557458
fft 4: mflops = 26.1945 (norm. = 0.462963), norm. avg. (of 6) = 0.550983
fft 5: mflops = -1 (norm. = -0.017674), norm. avg. (of 4) = 0.81329
fft 6: mflops = -1 (norm. = -0.017674), norm. avg. (of 4) = 0.484662
Benchmarking for array size = 12x12x12:
0. FFTW: elapsed time t=1.99 s, 2048 iters, t-(init.)=1.73 s
t(norm)=0.0454534, mflops=110.003 (err=3.3e-16)
1. PDA: elapsed time t=1.2 s, 512 iters, t-(init.)=1.14 s
t(norm)=0.119808, mflops=41.7335 (err=3.1e-16)
2. PDA (f2c): elapsed time t=1.5 s, 512 iters, t-(init.)=1.44 s
t(norm)=0.151336, mflops=33.039 (err=3.5e-16)
3. Singleton: elapsed time t=1.37 s, 512 iters, t-(init.)=1.31 s
t(norm)=0.137674, mflops=36.3177 (err=3.7e-16)
4. Singleton (f2c): elapsed time t=1.22 s, 512 iters, t-(init.)=1.16 s
t(norm)=0.12191, mflops=41.0139 (err=3.7e-16)
5. Temperton: elapsed time t=1.38 s, 1024 iters, t-(init.)=1.25 s
t(norm)=0.0656841, mflops=76.1219 (err=1.6e-08)
6. Temperton (f2c): elapsed time t=1.07 s, 512 iters, t-(init.)=1 s
t(norm)=0.105095, mflops=47.5762 (err=3.9e-16)
Top mflops for N=1728 = 110.003
Normalized results and averages for N=1728:
fft 0: mflops = 110.003 (norm. = 1), norm. avg. (of 7) = 1
fft 1: mflops = 41.7335 (norm. = 0.379386), norm. avg. (of 7) = 0.289084
fft 2: mflops = 33.039 (norm. = 0.300347), norm. avg. (of 7) = 0.235279
fft 3: mflops = 36.3177 (norm. = 0.330153), norm. avg. (of 7) = 0.524985
fft 4: mflops = 41.0139 (norm. = 0.372845), norm. avg. (of 7) = 0.525535
fft 5: mflops = 76.1219 (norm. = 0.692), norm. avg. (of 5) = 0.789032
fft 6: mflops = 47.5762 (norm. = 0.4325), norm. avg. (of 5) = 0.47423
Benchmarking for array size = 13x13x13:
0. FFTW: elapsed time t=1.4 s, 512 iters, t-(init.)=1.31 s
t(norm)=0.104905, mflops=47.6621 (err=2.3e-16)
1. PDA: elapsed time t=1.04 s, 128 iters, t-(init.)=1.02 s
t(norm)=0.326727, mflops=15.3033 (err=8.7e-16)
2. PDA (f2c): elapsed time t=1.24 s, 128 iters, t-(init.)=1.22 s
t(norm)=0.390792, mflops=12.7945 (err=8.4e-16)
3. Singleton: elapsed time t=1.62 s, 512 iters, t-(init.)=1.54 s
t(norm)=0.123324, mflops=40.5437 (err=5.3e-16)
4. Singleton (f2c): elapsed time t=1.41 s, 256 iters, t-(init.)=1.37 s
t(norm)=0.21942, mflops=22.7874 (err=5.3e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
Top mflops for N=2197 = 47.6621
Normalized results and averages for N=2197:
fft 0: mflops = 47.6621 (norm. = 1), norm. avg. (of 8) = 1
fft 1: mflops = 15.3033 (norm. = 0.321078), norm. avg. (of 8) = 0.293083
fft 2: mflops = 12.7945 (norm. = 0.268443), norm. avg. (of 8) = 0.239424
fft 3: mflops = 40.5437 (norm. = 0.850649), norm. avg. (of 8) = 0.565693
fft 4: mflops = 22.7874 (norm. = 0.478102), norm. avg. (of 8) = 0.519606
fft 5: mflops = -1 (norm. = -0.020981), norm. avg. (of 5) = 0.789032
fft 6: mflops = -1 (norm. = -0.020981), norm. avg. (of 5) = 0.47423
Benchmarking for array size = 14x14x14:
0. FFTW: elapsed time t=1.18 s, 256 iters, t-(init.)=1.13 s
t(norm)=0.140835, mflops=35.5026 (err=2.6e-16)
1. PDA: elapsed time t=1.72 s, 256 iters, t-(init.)=1.67 s
t(norm)=0.208136, mflops=24.0227 (err=3.7e-16)
2. PDA (f2c): elapsed time t=1.02 s, 128 iters, t-(init.)=0.99 s
t(norm)=0.246772, mflops=20.2616 (err=3.6e-16)
3. Singleton: elapsed time t=1.13 s, 256 iters, t-(init.)=1.08 s
t(norm)=0.134603, mflops=37.1462 (err=4.1e-16)
4. Singleton (f2c): elapsed time t=1.42 s, 256 iters, t-(init.)=1.36 s
t(norm)=0.1695, mflops=29.4985 (err=4.1e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
Top mflops for N=2744 = 37.1462
Normalized results and averages for N=2744:
fft 0: mflops = 35.5026 (norm. = 0.955752), norm. avg. (of 9) = 0.995084
fft 1: mflops = 24.0227 (norm. = 0.646707), norm. avg. (of 9) = 0.332375
fft 2: mflops = 20.2616 (norm. = 0.545455), norm. avg. (of 9) = 0.273427
fft 3: mflops = 37.1462 (norm. = 1), norm. avg. (of 9) = 0.61395
fft 4: mflops = 29.4985 (norm. = 0.794118), norm. avg. (of 9) = 0.550107
fft 5: mflops = -1 (norm. = -0.0269206), norm. avg. (of 5) = 0.789032
fft 6: mflops = -1 (norm. = -0.0269206), norm. avg. (of 5) = 0.47423
Benchmarking for array size = 15x15x15:
0. FFTW: elapsed time t=1.37 s, 512 iters, t-(init.)=1.25 s
t(norm)=0.0617183, mflops=81.0133 (err=3.7e-16)
1. PDA: elapsed time t=1.29 s, 256 iters, t-(init.)=1.22 s
t(norm)=0.120474, mflops=41.5027 (err=3.5e-16)
2. PDA (f2c): elapsed time t=1.6 s, 256 iters, t-(init.)=1.54 s
t(norm)=0.152074, mflops=32.8788 (err=3.4e-16)
3. Singleton: elapsed time t=1.8 s, 256 iters, t-(init.)=1.74 s
t(norm)=0.171824, mflops=29.0996 (err=4.2e-16)
4. Singleton (f2c): elapsed time t=1.49 s, 256 iters, t-(init.)=1.43 s
t(norm)=0.141211, mflops=35.4079 (err=4.1e-16)
5. Temperton: elapsed time t=1.63 s, 512 iters, t-(init.)=1.5 s
t(norm)=0.0740619, mflops=67.5111 (err=1.8e-08)
6. Temperton (f2c): elapsed time t=1.05 s, 256 iters, t-(init.)=0.99 s
t(norm)=0.0977617, mflops=51.1447 (err=3.8e-16)
Top mflops for N=3375 = 81.0133
Normalized results and averages for N=3375:
fft 0: mflops = 81.0133 (norm. = 1), norm. avg. (of 10) = 0.995575
fft 1: mflops = 41.5027 (norm. = 0.512295), norm. avg. (of 10) = 0.350367
fft 2: mflops = 32.8788 (norm. = 0.405844), norm. avg. (of 10) = 0.286669
fft 3: mflops = 29.0996 (norm. = 0.359195), norm. avg. (of 10) = 0.588474
fft 4: mflops = 35.4079 (norm. = 0.437063), norm. avg. (of 10) = 0.538803
fft 5: mflops = 67.5111 (norm. = 0.833333), norm. avg. (of 6) = 0.796416
fft 6: mflops = 51.1447 (norm. = 0.631313), norm. avg. (of 6) = 0.50041
Benchmarking for array size = 24x25x28:
0. FFTW: elapsed time t=1.98 s, 64 iters, t-(init.)=1.9 s
t(norm)=0.125897, mflops=39.715 (err=3.3e-16)
1. PDA: elapsed time t=1.04 s, 32 iters, t-(init.)=1 s
t(norm)=0.132523, mflops=37.7292 (err=3.8e-16)
2. PDA (f2c): elapsed time t=1.24 s, 32 iters, t-(init.)=1.2 s
t(norm)=0.159028, mflops=31.441 (err=3.8e-16)
3. Singleton: elapsed time t=1.34 s, 32 iters, t-(init.)=1.3 s
t(norm)=0.17228, mflops=29.0225 (err=4.5e-16)
4. Singleton (f2c): elapsed time t=1.35 s, 32 iters, t-(init.)=1.31 s
t(norm)=0.173605, mflops=28.8009 (err=4.4e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
Top mflops for N=16800 = 39.715
Normalized results and averages for N=16800:
fft 0: mflops = 39.715 (norm. = 1), norm. avg. (of 11) = 0.995977
fft 1: mflops = 37.7292 (norm. = 0.95), norm. avg. (of 11) = 0.404879
fft 2: mflops = 31.441 (norm. = 0.791667), norm. avg. (of 11) = 0.332578
fft 3: mflops = 29.0225 (norm. = 0.730769), norm. avg. (of 11) = 0.60141
fft 4: mflops = 28.8009 (norm. = 0.725191), norm. avg. (of 11) = 0.555747
fft 5: mflops = -1 (norm. = -0.0251794), norm. avg. (of 6) = 0.796416
fft 6: mflops = -1 (norm. = -0.0251794), norm. avg. (of 6) = 0.50041
Benchmarking for array size = 48x48x48:
0. FFTW: elapsed time t=1.65 s, 8 iters, t-(init.)=1.53 s
t(norm)=0.103213, mflops=48.4433 (err=4.0e-16)
1. PDA: elapsed time t=1.02 s, 4 iters, t-(init.)=0.96 s
t(norm)=0.129523, mflops=38.6033 (err=4.0e-16)
2. PDA (f2c): elapsed time t=1.19 s, 4 iters, t-(init.)=1.13 s
t(norm)=0.152459, mflops=32.7957 (err=4.2e-16)
3. Singleton: elapsed time t=1.25 s, 2 iters, t-(init.)=1.22 s
t(norm)=0.329204, mflops=15.1882 (err=3.7e-16)
4. Singleton (f2c): elapsed time t=1.06 s, 2 iters, t-(init.)=1.03 s
t(norm)=0.277934, mflops=17.9899 (err=3.6e-16)
5. Temperton: elapsed time t=1 s, 4 iters, t-(init.)=0.94 s
t(norm)=0.126824, mflops=39.4246 (err=1.1e-07)
6. Temperton (f2c): elapsed time t=1.28 s, 4 iters, t-(init.)=1.22 s
t(norm)=0.164602, mflops=30.3763 (err=4.8e-16)
Top mflops for N=110592 = 48.4433
Normalized results and averages for N=110592:
fft 0: mflops = 48.4433 (norm. = 1), norm. avg. (of 12) = 0.996313
fft 1: mflops = 38.6033 (norm. = 0.796875), norm. avg. (of 12) = 0.437545
fft 2: mflops = 32.7957 (norm. = 0.676991), norm. avg. (of 12) = 0.361279
fft 3: mflops = 15.1882 (norm. = 0.313525), norm. avg. (of 12) = 0.57742
fft 4: mflops = 17.9899 (norm. = 0.371359), norm. avg. (of 12) = 0.540381
fft 5: mflops = 39.4246 (norm. = 0.81383), norm. avg. (of 7) = 0.798903
fft 6: mflops = 30.3763 (norm. = 0.627049), norm. avg. (of 7) = 0.518502
Benchmarking for array size = 49x49x49:
0. FFTW: elapsed time t=1.14 s, 4 iters, t-(init.)=1.07 s
t(norm)=0.134985, mflops=37.041 (err=4.3e-16)
1. PDA: elapsed time t=1.79 s, 4 iters, t-(init.)=1.72 s
t(norm)=0.216986, mflops=23.043 (err=5.7e-16)
2. PDA (f2c): elapsed time t=1.09 s, 2 iters, t-(init.)=1.05 s
t(norm)=0.264925, mflops=18.8733 (err=5.7e-16)
3. Singleton: elapsed time t=1.01 s, 2 iters, t-(init.)=0.97 s
t(norm)=0.24474, mflops=20.4298 (err=6.8e-16)
4. Singleton (f2c): elapsed time t=1.19 s, 2 iters, t-(init.)=1.16 s
t(norm)=0.292679, mflops=17.0836 (err=6.8e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
Top mflops for N=117649 = 37.041
Normalized results and averages for N=117649:
fft 0: mflops = 37.041 (norm. = 1), norm. avg. (of 13) = 0.996596
fft 1: mflops = 23.043 (norm. = 0.622093), norm. avg. (of 13) = 0.451741
fft 2: mflops = 18.8733 (norm. = 0.509524), norm. avg. (of 13) = 0.372683
fft 3: mflops = 20.4298 (norm. = 0.551546), norm. avg. (of 13) = 0.575429
fft 4: mflops = 17.0836 (norm. = 0.461207), norm. avg. (of 13) = 0.534291
fft 5: mflops = -1 (norm. = -0.0269971), norm. avg. (of 7) = 0.798903
fft 6: mflops = -1 (norm. = -0.0269971), norm. avg. (of 7) = 0.518502
Benchmarking for array size = 60x60x60:
0. FFTW: elapsed time t=1.9 s, 4 iters, t-(init.)=1.78 s
t(norm)=0.116259, mflops=43.0075 (err=4.8e-16)
1. PDA: elapsed time t=1.07 s, 2 iters, t-(init.)=1.01 s
t(norm)=0.131934, mflops=37.8977 (err=4.4e-16)
2. PDA (f2c): elapsed time t=1.27 s, 2 iters, t-(init.)=1.21 s
t(norm)=0.15806, mflops=31.6336 (err=4.4e-16)
3. Singleton: elapsed time t=1.35 s, 1 iters, t-(init.)=1.32 s
t(norm)=0.344858, mflops=14.4987 (err=5.4e-16)
4. Singleton (f2c): elapsed time t=1.24 s, 1 iters, t-(init.)=1.21 s
t(norm)=0.31612, mflops=15.8168 (err=5.4e-16)
5. Temperton: elapsed time t=1.9 s, 4 iters, t-(init.)=1.78 s
t(norm)=0.116259, mflops=43.0075 (err=1.9e-08)
6. Temperton (f2c): elapsed time t=1.22 s, 2 iters, t-(init.)=1.16 s
t(norm)=0.151528, mflops=32.9971 (err=5.4e-16)
Top mflops for N=216000 = 43.0075
Normalized results and averages for N=216000:
fft 0: mflops = 43.0075 (norm. = 1), norm. avg. (of 14) = 0.996839
fft 1: mflops = 37.8977 (norm. = 0.881188), norm. avg. (of 14) = 0.482416
fft 2: mflops = 31.6336 (norm. = 0.735537), norm. avg. (of 14) = 0.398601
fft 3: mflops = 14.4987 (norm. = 0.337121), norm. avg. (of 14) = 0.558407
fft 4: mflops = 15.8168 (norm. = 0.367769), norm. avg. (of 14) = 0.522397
fft 5: mflops = 43.0075 (norm. = 1), norm. avg. (of 8) = 0.82404
fft 6: mflops = 32.9971 (norm. = 0.767241), norm. avg. (of 8) = 0.549594
Benchmarking for array size = 72x60x56:
0. FFTW: elapsed time t=1.08 s, 2 iters, t-(init.)=1.02 s
t(norm)=0.117877, mflops=42.417 (err=4.0e-16)
1. PDA: elapsed time t=1.3 s, 2 iters, t-(init.)=1.23 s
t(norm)=0.142146, mflops=35.1751 (err=4.7e-16)
2. PDA (f2c): elapsed time t=1.53 s, 2 iters, t-(init.)=1.46 s
t(norm)=0.168726, mflops=29.6338 (err=4.7e-16)
3. Singleton: elapsed time t=1.62 s, 1 iters, t-(init.)=1.58 s
t(norm)=0.365188, mflops=13.6916 (err=5.2e-16)
4. Singleton (f2c): elapsed time t=1.54 s, 1 iters, t-(init.)=1.51 s
t(norm)=0.349009, mflops=14.3263 (err=5.2e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
Top mflops for N=241920 = 42.417
Normalized results and averages for N=241920:
fft 0: mflops = 42.417 (norm. = 1), norm. avg. (of 15) = 0.99705
fft 1: mflops = 35.1751 (norm. = 0.829268), norm. avg. (of 15) = 0.505539
fft 2: mflops = 29.6338 (norm. = 0.69863), norm. avg. (of 15) = 0.418603
fft 3: mflops = 13.6916 (norm. = 0.322785), norm. avg. (of 15) = 0.542699
fft 4: mflops = 14.3263 (norm. = 0.337748), norm. avg. (of 15) = 0.510087
fft 5: mflops = -1 (norm. = -0.0235754), norm. avg. (of 8) = 0.82404
fft 6: mflops = -1 (norm. = -0.0235754), norm. avg. (of 8) = 0.549594
Benchmarking for array size = 75x75x75:
0. FFTW: elapsed time t=1.11 s, 1 iters, t-(init.)=1.05 s
t(norm)=0.133192, mflops=37.5398 (err=5.2e-16)
1. PDA: elapsed time t=1.17 s, 1 iters, t-(init.)=1.11 s
t(norm)=0.140803, mflops=35.5106 (err=5.8e-16)
2. PDA (f2c): elapsed time t=1.25 s, 1 iters, t-(init.)=1.2 s
t(norm)=0.15222, mflops=32.8473 (err=5.8e-16)
3. Singleton: elapsed time t=2.45 s, 1 iters, t-(init.)=2.39 s
t(norm)=0.303171, mflops=16.4924 (err=6.6e-16)
4. Singleton (f2c): elapsed time t=2.29 s, 1 iters, t-(init.)=2.24 s
t(norm)=0.284143, mflops=17.5968 (err=6.6e-16)
5. Temperton: elapsed time t=1.73 s, 2 iters, t-(init.)=1.62 s
t(norm)=0.102748, mflops=48.6626 (err=1.4e-07)
6. Temperton (f2c): elapsed time t=1.1 s, 1 iters, t-(init.)=1.05 s
t(norm)=0.133192, mflops=37.5398 (err=7.0e-16)
Top mflops for N=421875 = 48.6626
Normalized results and averages for N=421875:
fft 0: mflops = 37.5398 (norm. = 0.771429), norm. avg. (of 16) = 0.982949
fft 1: mflops = 35.5106 (norm. = 0.72973), norm. avg. (of 16) = 0.519551
fft 2: mflops = 32.8473 (norm. = 0.675), norm. avg. (of 16) = 0.434628
fft 3: mflops = 16.4924 (norm. = 0.338912), norm. avg. (of 16) = 0.529963
fft 4: mflops = 17.5968 (norm. = 0.361607), norm. avg. (of 16) = 0.500807
fft 5: mflops = 48.6626 (norm. = 1), norm. avg. (of 9) = 0.843592
fft 6: mflops = 37.5398 (norm. = 0.771429), norm. avg. (of 9) = 0.574242
Benchmarking for array size = 80x80x80:
0. FFTW: elapsed time t=1.21 s, 1 iters, t-(init.)=1.14 s
t(norm)=0.117399, mflops=42.5898 (err=3.7e-16)
1. PDA: elapsed time t=1.4 s, 1 iters, t-(init.)=1.33 s
t(norm)=0.136965, mflops=36.5056 (err=3.8e-16)
2. PDA (f2c): elapsed time t=1.58 s, 1 iters, t-(init.)=1.51 s
t(norm)=0.155502, mflops=32.1539 (err=3.7e-16)
3. Singleton: elapsed time t=3.41 s, 1 iters, t-(init.)=3.34 s
t(norm)=0.343958, mflops=14.5366 (err=4.8e-16)
4. Singleton (f2c): elapsed time t=2.93 s, 1 iters, t-(init.)=2.86 s
t(norm)=0.294527, mflops=16.9764 (err=4.7e-16)
5. Temperton: elapsed time t=1.34 s, 1 iters, t-(init.)=1.27 s
t(norm)=0.130787, mflops=38.2302 (err=1.7e-07)
6. Temperton (f2c): elapsed time t=1.72 s, 1 iters, t-(init.)=1.65 s
t(norm)=0.169919, mflops=29.4257 (err=5.2e-16)
Top mflops for N=512000 = 42.5898
Normalized results and averages for N=512000:
fft 0: mflops = 42.5898 (norm. = 1), norm. avg. (of 17) = 0.983952
fft 1: mflops = 36.5056 (norm. = 0.857143), norm. avg. (of 17) = 0.53941
fft 2: mflops = 32.1539 (norm. = 0.754967), norm. avg. (of 17) = 0.453471
fft 3: mflops = 14.5366 (norm. = 0.341317), norm. avg. (of 17) = 0.518866
fft 4: mflops = 16.9764 (norm. = 0.398601), norm. avg. (of 17) = 0.494795
fft 5: mflops = 38.2302 (norm. = 0.897638), norm. avg. (of 10) = 0.848996
fft 6: mflops = 29.4257 (norm. = 0.690909), norm. avg. (of 10) = 0.585909
Benchmarking for array size = 84x84x84:
0. FFTW: elapsed time t=1.59 s, 1 iters, t-(init.)=1.51 s
t(norm)=0.132849, mflops=37.6366 (err=5.5e-16)
1. PDA: elapsed time t=1.89 s, 1 iters, t-(init.)=1.81 s
t(norm)=0.159243, mflops=31.3985 (err=4.7e-16)
2. PDA (f2c): elapsed time t=2.32 s, 1 iters, t-(init.)=2.24 s
t(norm)=0.197075, mflops=25.3711 (err=5.0e-16)
3. Singleton: elapsed time t=4.21 s, 1 iters, t-(init.)=4.13 s
t(norm)=0.363356, mflops=13.7606 (err=5.4e-16)
4. Singleton (f2c): elapsed time t=4.27 s, 1 iters, t-(init.)=4.19 s
t(norm)=0.368635, mflops=13.5636 (err=5.4e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
Top mflops for N=592704 = 37.6366
Normalized results and averages for N=592704:
fft 0: mflops = 37.6366 (norm. = 1), norm. avg. (of 18) = 0.984843
fft 1: mflops = 31.3985 (norm. = 0.834254), norm. avg. (of 18) = 0.55579
fft 2: mflops = 25.3711 (norm. = 0.674107), norm. avg. (of 18) = 0.465729
fft 3: mflops = 13.7606 (norm. = 0.365617), norm. avg. (of 18) = 0.510352
fft 4: mflops = 13.5636 (norm. = 0.360382), norm. avg. (of 18) = 0.487327
fft 5: mflops = -1 (norm. = -0.0265699), norm. avg. (of 10) = 0.848996
fft 6: mflops = -1 (norm. = -0.0265699), norm. avg. (of 10) = 0.585909
Benchmarking for array size = 96x96x96:
0. FFTW: elapsed time t=2.15 s, 1 iters, t-(init.)=2.03 s
t(norm)=0.116147, mflops=43.0489 (err=4.8e-16)
1. PDA: elapsed time t=2.69 s, 1 iters, t-(init.)=2.56 s
t(norm)=0.146471, mflops=34.1364 (err=4.9e-16)
2. PDA (f2c): elapsed time t=2.96 s, 1 iters, t-(init.)=2.83 s
t(norm)=0.161919, mflops=30.8796 (err=4.8e-16)
3. Singleton: elapsed time t=7.98 s, 1 iters, t-(init.)=7.85 s
t(norm)=0.44914, mflops=11.1324 (err=5.5e-16)
4. Singleton (f2c): elapsed time t=7.16 s, 1 iters, t-(init.)=7.03 s
t(norm)=0.402223, mflops=12.4309 (err=5.5e-16)
5. Temperton: elapsed time t=2.87 s, 1 iters, t-(init.)=2.75 s
t(norm)=0.157342, mflops=31.7779 (err=1.6e-07)
6. Temperton (f2c): elapsed time t=3.59 s, 1 iters, t-(init.)=3.47 s
t(norm)=0.198537, mflops=25.1842 (err=5.2e-16)
Top mflops for N=884736 = 43.0489
Normalized results and averages for N=884736:
fft 0: mflops = 43.0489 (norm. = 1), norm. avg. (of 19) = 0.985641
fft 1: mflops = 34.1364 (norm. = 0.792969), norm. avg. (of 19) = 0.568273
fft 2: mflops = 30.8796 (norm. = 0.717314), norm. avg. (of 19) = 0.47897
fft 3: mflops = 11.1324 (norm. = 0.258599), norm. avg. (of 19) = 0.497102
fft 4: mflops = 12.4309 (norm. = 0.288762), norm. avg. (of 19) = 0.476876
fft 5: mflops = 31.7779 (norm. = 0.738182), norm. avg. (of 11) = 0.838922
fft 6: mflops = 25.1842 (norm. = 0.585014), norm. avg. (of 11) = 0.585828
Benchmarking for array size = 105x105x105:
0. FFTW: elapsed time t=2.94 s, 1 iters, t-(init.)=2.77 s
t(norm)=0.118794, mflops=42.0898 (err=4.8e-16)
1. PDA: elapsed time t=4.07 s, 1 iters, t-(init.)=3.9 s
t(norm)=0.167255, mflops=29.8945 (err=5.5e-16)
2. PDA (f2c): elapsed time t=4.69 s, 1 iters, t-(init.)=4.53 s
t(norm)=0.194273, mflops=25.737 (err=5.5e-16)
3. Singleton: elapsed time t=7.49 s, 1 iters, t-(init.)=7.32 s
t(norm)=0.313924, mflops=15.9274 (err=6.5e-16)
4. Singleton (f2c): elapsed time t=7.58 s, 1 iters, t-(init.)=7.42 s
t(norm)=0.318213, mflops=15.7128 (err=6.5e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
Top mflops for N=1157625 = 42.0898
Normalized results and averages for N=1157625:
fft 0: mflops = 42.0898 (norm. = 1), norm. avg. (of 20) = 0.986359
fft 1: mflops = 29.8945 (norm. = 0.710256), norm. avg. (of 20) = 0.575372
fft 2: mflops = 25.737 (norm. = 0.611479), norm. avg. (of 20) = 0.485595
fft 3: mflops = 15.9274 (norm. = 0.378415), norm. avg. (of 20) = 0.491167
fft 4: mflops = 15.7128 (norm. = 0.373315), norm. avg. (of 20) = 0.471698
fft 5: mflops = -1 (norm. = -0.0237587), norm. avg. (of 11) = 0.838922
fft 6: mflops = -1 (norm. = -0.0237587), norm. avg. (of 11) = 0.585828
Benchmarking for array size = 112x112x112:
0. FFTW: elapsed time t=3.55 s, 1 iters, t-(init.)=3.35 s
t(norm)=0.116759, mflops=42.8232 (err=5.3e-16)
1. PDA: elapsed time t=4.88 s, 1 iters, t-(init.)=4.68 s
t(norm)=0.163114, mflops=30.6533 (err=5.6e-16)
2. PDA (f2c): elapsed time t=5.76 s, 1 iters, t-(init.)=5.55 s
t(norm)=0.193437, mflops=25.8482 (err=5.7e-16)
3. Singleton: elapsed time t=9.88 s, 1 iters, t-(init.)=9.68 s
t(norm)=0.337382, mflops=14.82 (err=6.3e-16)
4. Singleton (f2c): elapsed time t=9.48 s, 1 iters, t-(init.)=9.28 s
t(norm)=0.32344, mflops=15.4588 (err=6.3e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
Top mflops for N=1404928 = 42.8232
Normalized results and averages for N=1404928:
fft 0: mflops = 42.8232 (norm. = 1), norm. avg. (of 21) = 0.987009
fft 1: mflops = 30.6533 (norm. = 0.715812), norm. avg. (of 21) = 0.58206
fft 2: mflops = 25.8482 (norm. = 0.603604), norm. avg. (of 21) = 0.491215
fft 3: mflops = 14.82 (norm. = 0.346074), norm. avg. (of 21) = 0.484258
fft 4: mflops = 15.4588 (norm. = 0.360991), norm. avg. (of 21) = 0.466427
fft 5: mflops = -1 (norm. = -0.0233518), norm. avg. (of 11) = 0.838922
fft 6: mflops = -1 (norm. = -0.0233518), norm. avg. (of 11) = 0.585828
Benchmarking for array size = 120x120x120:
0. FFTW: elapsed time t=4.43 s, 1 iters, t-(init.)=4.18 s
t(norm)=0.116742, mflops=42.8293 (err=4.6e-16)
1. PDA: elapsed time t=4.78 s, 1 iters, t-(init.)=4.53 s
t(norm)=0.126518, mflops=39.5202 (err=4.8e-16)
2. PDA (f2c): elapsed time t=5.44 s, 1 iters, t-(init.)=5.19 s
t(norm)=0.144951, mflops=34.4945 (err=4.9e-16)
3. Singleton: elapsed time t=15.57 s, 1 iters, t-(init.)=15.33 s
t(norm)=0.428149, mflops=11.6782 (err=5.6e-16)
4. Singleton (f2c): elapsed time t=14.49 s, 1 iters, t-(init.)=14.24 s
t(norm)=0.397706, mflops=12.5721 (err=5.6e-16)
5. Temperton: elapsed time t=5.12 s, 1 iters, t-(init.)=4.88 s
t(norm)=0.136293, mflops=36.6858 (err=2.0e-08)
6. Temperton (f2c): elapsed time t=6.06 s, 1 iters, t-(init.)=5.82 s
t(norm)=0.162546, mflops=30.7606 (err=5.7e-16)
Top mflops for N=1728000 = 42.8293
Normalized results and averages for N=1728000:
fft 0: mflops = 42.8293 (norm. = 1), norm. avg. (of 22) = 0.987599
fft 1: mflops = 39.5202 (norm. = 0.922737), norm. avg. (of 22) = 0.597545
fft 2: mflops = 34.4945 (norm. = 0.805395), norm. avg. (of 22) = 0.505496
fft 3: mflops = 11.6782 (norm. = 0.272668), norm. avg. (of 22) = 0.474641
fft 4: mflops = 12.5721 (norm. = 0.293539), norm. avg. (of 22) = 0.458568
fft 5: mflops = 36.6858 (norm. = 0.856557), norm. avg. (of 12) = 0.840392
fft 6: mflops = 30.7606 (norm. = 0.718213), norm. avg. (of 12) = 0.59686
Benchmarking for array size = 144x144x144:
0. FFTW: elapsed time t=7.87 s, 1 iters, t-(init.)=7.45 s
t(norm)=0.115993, mflops=43.1059 (err=6.7e-16)
1. PDA: elapsed time t=8.87 s, 1 iters, t-(init.)=8.44 s
t(norm)=0.131407, mflops=38.0497 (err=5.7e-16)
2. PDA (f2c): elapsed time t=10.06 s, 1 iters, t-(init.)=9.64 s
t(norm)=0.150091, mflops=33.3132 (err=5.8e-16)
3. Singleton: elapsed time t=26.52 s, 1 iters, t-(init.)=26.09 s
t(norm)=0.40621, mflops=12.3089 (err=6.0e-16)
4. Singleton (f2c): elapsed time t=23.69 s, 1 iters, t-(init.)=23.26 s
t(norm)=0.362148, mflops=13.8065 (err=5.8e-16)
5. Temperton: elapsed time t=10.37 s, 1 iters, t-(init.)=9.94 s
t(norm)=0.154762, mflops=32.3078 (err=1.8e-07)
6. Temperton (f2c): elapsed time t=12.41 s, 1 iters, t-(init.)=11.98 s
t(norm)=0.186523, mflops=26.8063 (err=6.6e-16)
Top mflops for N=2985984 = 43.1059
Normalized results and averages for N=2985984:
fft 0: mflops = 43.1059 (norm. = 1), norm. avg. (of 23) = 0.988138
fft 1: mflops = 38.0497 (norm. = 0.882701), norm. avg. (of 23) = 0.609943
fft 2: mflops = 33.3132 (norm. = 0.772822), norm. avg. (of 23) = 0.517119
fft 3: mflops = 12.3089 (norm. = 0.28555), norm. avg. (of 23) = 0.466419
fft 4: mflops = 13.8065 (norm. = 0.320292), norm. avg. (of 23) = 0.452556
fft 5: mflops = 32.3078 (norm. = 0.749497), norm. avg. (of 13) = 0.8334
fft 6: mflops = 26.8063 (norm. = 0.62187), norm. avg. (of 13) = 0.598784
Benchmarking for array size = 180x180x180:
0. FFTW: elapsed time t=14.84 s, 1 iters, t-(init.)=14.01 s
t(norm)=0.106883, mflops=46.78 (err=8.7e-16)
1. PDA: elapsed time t=17.8 s, 1 iters, t-(init.)=16.97 s
t(norm)=0.129465, mflops=38.6203 (err=8.5e-16)
2. PDA (f2c): elapsed time t=20.34 s, 1 iters, t-(init.)=19.51 s
t(norm)=0.148843, mflops=33.5924 (err=8.5e-16)
3. Singleton: elapsed time t=54.03 s, 1 iters, t-(init.)=53.2 s
t(norm)=0.405867, mflops=12.3193 (err=7.1e-16)
4. Singleton (f2c): elapsed time t=50.34 s, 1 iters, t-(init.)=49.51 s
t(norm)=0.377716, mflops=13.2375 (err=7.1e-16)
5. Temperton: elapsed time t=16.72 s, 1 iters, t-(init.)=15.89 s
t(norm)=0.121226, mflops=41.2453 (err=1.0e-07)
6. Temperton (f2c): elapsed time t=20.82 s, 1 iters, t-(init.)=19.99 s
t(norm)=0.152505, mflops=32.7858 (err=7.9e-16)
Top mflops for N=5832000 = 46.78
Normalized results and averages for N=5832000:
fft 0: mflops = 46.78 (norm. = 1), norm. avg. (of 24) = 0.988633
fft 1: mflops = 38.6203 (norm. = 0.825575), norm. avg. (of 24) = 0.618928
fft 2: mflops = 33.5924 (norm. = 0.718093), norm. avg. (of 24) = 0.525493
fft 3: mflops = 12.3193 (norm. = 0.263346), norm. avg. (of 24) = 0.457958
fft 4: mflops = 13.2375 (norm. = 0.282973), norm. avg. (of 24) = 0.44549
fft 5: mflops = 41.2453 (norm. = 0.881687), norm. avg. (of 14) = 0.836849
fft 6: mflops = 32.7858 (norm. = 0.70085), norm. avg. (of 14) = 0.606074
------------------------------------------------------
@@@@ bench.1d.p2.dat
N, Arndt DIF, Arndt DIT, Arndt Split-Radix, Arndt 4-step, Bailey, Beauregard, Bergland, Brenner, Burrus, CWP (min N), CWP (best N), Edelblute, FFTPACK, FFTPACK (f2c), FFTW, FFTW_ESTIMATE, Frigo-old, Green, GSL, GSL DIT, GSL DIF, Krukar, Mayer (Buneman), Mayer (simple), Mayer (lookup), Monro, NAPACK (f2c), Nielsen, NR (C), NR (F), Ooura (C), Ooura (F), QFT, Ransom, SCIPORT, Singleton, Singleton (f2c), Sorensen, Sorensen DIT, Temperton, Temperton (f2c), Valkenburg
2, 33.2881, 34.6637, 21.8453, 1.49797, 6.31672, 4.85452, 5.72992, 6.31672, 20.3607, 4.40578, 3.94202, , 11.9837, 10.0825, 41.1206, 43.2402, 55.9241, , 5.60736, 5.85797, 5.34988, 27.06, , , , , 3.1023, 1.9563, 6.35501, 5.60736, 39.5689, 35.5449, , , , 5.29584, 5.14008, 18.0789, 18.5589, 3.74491, 3.71835, 5.46133
4, 65.028, 59.0747, 25.42, 5.85797, 11.4598, 5.29584, 19.065, 13.1072, 16.9125, 15.8875, 6.72164, 21.3995, 29.7468, 27.06, 108.943, 106.185, 110.376, , 14.3641, 11.0376, 10.6998, 81.4428, 35.5449, 34.9525, 35.2463, 5.43304, 5.76141, 7.23156, 11.4598, 9.70904, 56.2994, 48.771, , 4.72332, 17.05, 12.1927, 15.1968, 25.575, 17.05, 13.6179, 12.483, 5.54802
8, 52.4288, 48.771, 27.1183, 7.08497, 19.6608, 7.56185, 19.7845, 15.8875, 16.0496, 38.3625, 20.0365, 19.065, 48.3958, 42.799, 146.313, 144.631, 211.478, 61.6809, 24.7695, 18.3961, 17.1898, 123.362, 44.6203, 44.939, 43.6907, 12.0066, 9.03945, 13.6771, 18.2891, 14.9797, 98.304, 72.3156, , 5.82542, 16.2151, 15.7286, 17.8735, 37.0086, 15.4202, 22.4695, 20.0365, 5.65778
16, 38.13, 38.8361, 27.962, 11.5228, 25.7319, 8.45626, 26.3793, 20.3607, 16.7772, 70.4925, 35.5449, 18.8933, 63.0722, 69.9051, 129.056, 127.1, 209.715, 67.6501, 32.768, 25.2669, 24.5281, 139.81, 37.1177, 43.2402, 48.2104, 18.7246, 13.3577, 16.1319, 26.8866, 21.3995, 106.185, 83.0555, 92.1825, 15.0874, 15.4202, 19.9729, 33.2881, 47.3933, 16.0088, 36.1578, 29.1271, 5.76141
32, 36.9217, 36.9217, 30.6601, 12.025, 35.1871, 8.91646, 33.1828, 23.8313, 18.2044, 58.5797, 65.9482, 20.8051, 57.9324, 54.6133, 100.825, 80.6597, 203.607, 75.4371, 34.4926, 34.7211, 33.825, 146.654, 38.8361, 50.4123, 54.0503, 26.4792, 16.6971, 20.6413, 37.1835, 28.807, 119.156, 89.6219, 74.3671, 15.8875, 15.1528, 24.7306, 41.2825, 61.3202, 17.2463, 40.022, 29.4544, 5.85143
64, 43.0922, 43.3894, 33.4652, 15.8875, 40.8536, 8.83631, 32.4302, 27.1183, 19.7845, 78.6432, 67.6501, 22.153, 63.5501, 68.3854, 119.837, 89.8779, 57.7198, 85.598, 37.9003, 39.3216, 38.3625, 52.4288, 38.13, 50.3316, 56.6798, 31.1458, 20.8326, 23.4756, 47.6625, 35.5449, 118.707, 92.5214, 65.536, 27.5941, 14.6997, 24.576, 48.3958, 72.3156, 19.065, 53.7731, 38.5979, 5.95782
128, 41.4691, 40.778, 36.7002, 14.9188, 48.6095, 8.82215, 34.9525, 29.5969, 21.8453, 93.5036, 99.8644, 24.4668, 71.9611, 75.6704, 113.799, 92.3274, 52.4288, 82.9382, 41.2361, 43.6907, 42.6746, 35.6312, 40.5527, 56.0308, 60.6614, 35.9805, 22.3781, 25.8452, 56.8995, 41.7047, 127.653, 95.9481, 61.1669, 26.7884, 14.5636, 31.6381, 54.7764, 82.9382, 20.6181, 55.6063, 37.4491, 6.11669
256, 49.6367, 50.5338, 40.7214, 17.05, 49.6367, 8.88624, 38.4799, 31.775, 24.2445, 106.185, 111.848, 26.8866, 70.4925, 79.8915, 126.144, 101.68, 55.1882, 83.8861, 43.2402, 46.8637, 46.6034, 51.4639, 42.3667, 56.6798,61.2307, 39.1991, 24.9661, 26.7153, 63.0722, 45.8394, 128.07, 99.2735, 58.2542, 37.7865, 14.3641, 27.2357, 57.4562, 90.6877, 22.3101, 61.6809, 39.1991, 6.20459
512, 46.7187, 46.7187, 41.0312, 17.0963, 49.9322, 8.86953, 37.7487, 33.2295, 25.5059, 114.39, 117.965, 28.0869, 56.5101, 55.1882, 93.4375, 90.7422, 65.536, 87.3813, 41.0312, 48.8973, 48.6453, 44.939, 46.2607, 63.7648, 67.8934, 38.0532, 24.8347, 26.8102, 66.459, 49.4093, 132.918, 104.278, 44.515, 36.2969, 13.4817, 29.1271, 60.4948, 89.03, 23.9522, 57.8968, 35.7469, 6.08066
1024, 54.3304, 56.0736, 42.9744, 19.1346, 26.4792, 8.73813, 38.5506, 34.2672, 27.1652, 119.156, 117.818, 30.1315, 36.1578, 41.2825, 86.6592, 80.6597, 54.8993, 80.6597, 29.7891, 47.2332, 45.1972, 35.1871, 46.3972, 61.6809, 65.9482, 40.022, 22.7951, 26.2144, 62.4152, 48.9989, 123.362, 101.803, 39.126, 45.1972, 12.025, 27.7401, 60.263, 80.6597, 24.9661, 54.8993, 37.7186, 5.90414
2048, 29.4243, 28.2704, 22.3534, 16.1999, 24.0299, 8.48113, 29.7277, 25.5184, 18.1357, 76.3863, 75.8838, 18.6038, 37.9419, 42.0961, 75.8838, 64.7996, 49.292, 47.6625, 31.3433, 22.1814, 22.8856, 33.9245, 46.8875, 61.3529, 57.1007, 25.7463, 22.3534, 21.0481, 25.5184, 23.6359, 83.5821, 76.8956, 36.0448, 34.742, 12.1159, 21.8453, 30.8405, 36.0448, 16.4776, 37.4491, 30.6764, 5.76717
4096, 28.5975, 28.0869, 20.9715, 17.6726, 23.1304, 8.45626, 29.1271, 25.9978, 17.7725, 69.5189, 76.7251, 18.0789, 35.9512, 41.3912, 78.1547,67.6501, 42.799, 49.539, 29.3993, 21.6947, 22.3101, 34.1927, 30.541,34.9525, 34.5684, 25.575, 23.6521, 21.2549, 24.7695, 23.1304, 87.3813, 78.6432, 32.0993, 47.3042, 11.9156, 20.5603,33.825, 34.0079, 16.4698, 39.5689, 31.775, 5.78259
8192, 27.4828, 26.8336, 21.1669, 16.7053, 23.1828, 8.35263, 28.8803,26.0143, 18.0311, 73.2876, 72.5079, 18.127, 32.1497, 34.7742, 70.2654,65.536, 45.7432, 47.9982, 27.7063, 21.8453, 22.129, , 30.4274, 34.0787,34.0787, 24.875, 21.9863, 21.1669, 24.5171,23.0262, 84.145, 77.4516, 29.3782, 41.5594, 11.5914, 20.9072, 32.4559,31.5544, 16.5431, 37.2445, 29.6337, 5.67979
16384, 26.403, 26.0285, 20.2763, 18.9176, 18.1684, 8.192, 28.0154, 25.3105,17.6443, 76.4587, 74.8983, 17.8156, 27.3882, 29.3601, 63.2761, 52.057,33.9816, 41.4691, 23.5257, 20.1649, 19.9457, , 29.5969, 33.0632, 32.478,23.987, 16.6819, 20.0547, 22.1085,21.092, 82.0115, 74.1417, 24.1448, 48.6095, 9.26772, 19.9457, 32.1931,29.3601, 16.239, 36.7002, 28.8978, 5.42902
32768, 23.5459, 23.5459, 18.5479, 16.949, 14.7826, 7.92774, 27.3067,23.2672, 16.384, 72.8178, 72.8178, 16.384, 24.7306, 26.2144, 48.2474,43.4493, 27.3067, 39.7188, 21.2549, 18.3746, 17.7124, , 28.7019, 32.4972,30.0165, 20.9157, 11.7029, 15.9844, 19.4661, 19.0882, 66.0867, 60.9637, 20.5872, 38.5506, 7.50412, 18.9046, 25.8695,24.4234, 15.0082, 30.4819, 24.4234, 4.96485
65536, 16.513, 16.384, 12.71, 17.6231, 13.2731, 7.13317, 20.9715, 18.0789,11.7818, 54.4715, 54.4715, 11.7818, 23.8313, 25.2669, 49.3448, 37.1177,27.962, 28.3399, 21.1834, 12.483, 11.5228, , 24.9661, 27.4138, 25.575,15.0874, 11.7159, 13.53, 12.866, 12.5578, 45.8394, 42.799, 17.9244, 32.514, 7.23156, 15.1968, 21.3995, 17.9244,11.336, 22.4294, 18.8933, 4.33296
131072, 14.9545, 15.0556, 11.3685, 15.4738, 13.8399, 7.00699, 19.8949,16.384, 10.6106, 54.0176, 53.6921, 10.5105, 21.2212, 22.5073, 48.972,38.0893, 26.0611, 24.758, 19.7188, 11.4268, 10.6106, , 17.5451, 18.7246,18.1156, 13.5867, 11.4268, 13.423, 11.8523, 11.6053, 40.8848, 38.7517, 15.6917, 27.5089, 7.14174, 13.9264, 18.7246,16.6285, 10.5105, 19.5458, 16.5054, 4.30159
262144, 14.4742, 14.5636, 10.9227, 18.2891, 13.4051, 6.98017, 19.994,16.8521, 10.1694, 37.7487, 37.7487, 10.1694, 21.8453, 22.9058, 52.1391,35.7469, 27.5941, 25.2331, 19.6608, 11.0765, 10.2134, , 16.1596, 16.8521,16.384, 13.6375, 11.9761, 13.5592, 11.5652, 11.3428, 43.6907, 40.3298, 14.9323, 35.2134, 7.08497, 14.2126, 19.1813,16.384, 10.2134, 20.3388, 17.7391, 4.27409
524288, 14.6924, 14.6492, 10.8042, 16.0152, 14.2307, 6.95634, 19.2306,16.3303, 10.1234, 39.5297, 39.5297, 10.1234, 22.4357, 24.0615, 48.3567,35.3244, 25.1552, 24.6571, 20.3295, 11.1177, 10.2064, , 16.4381, 17.2344,16.6025, 13.2466, 11.8027, 12.6095, 11.5831, 11.3456, 41.8549, 38.912, 14.4369, 28.7904, 7.1976, 13.1072, 16.658,16.2239, 10.2064, 18.9382, 16.384, 4.19961
1048576, 13.9624, 13.9997, 10.5491, 18.9959, 13.7248, 6.94881, 19.2047,16.513, 9.94854, , , 9.99596, 22.2628, 23.5635, 44.8109, 30.8405, 19.2047, ,20.4003, 10.6998, 9.9297, , , 16.333, 15.8635, 13.0745, 12.3072, 12.6334,11.1788, 11.0029, 43.6907, 40.1753, 13.7428, 35.3056, 7.01858, 13.7608, 18.8254, 15.9844, 10.0151, 19.6731,16.9947, 4.14621
Norm. Avg., 0.339181, 0.336389, 0.247396, 0.183378, 0.245733, 0.0902095,0.290537, 0.247988, 0.190708, 0.69087, 0.67782, 0.191778, 0.389588,0.410918, 0.834529, 0.703787, 0.607384, 0.532128, 0.291322, 0.238157,0.231136, 0.477583, 0.336207, 0.397193, 0.400074, 0.242932, 0.17752, 0.193747, 0.277007, 0.236815, 0.847453, 0.731189,0.363166, 0.385935, 0.119388, 0.212065, 0.333119, 0.403713, 0.180858,0.355804, 0.27677, 0.0614078
------------------------------------------------------
@@@@ bench.1d.np2.dat
N, Brenner, CWP (min N), CWP (best N), FFTPACK, FFTPACK (f2c), FFTW,FFTW_ESTIMATE, Frigo-old, GSL, Nielsen, Singleton, Singleton (f2c),Temperton, Temperton (f2c), Valkenburg
6, , 21.6266, 13.0314, 35.05, 29.6773, 92.4044, 93.4665, 19.5471, 24.2012,6.3528, 10.9886, 12.8664, 12.9484, 12.3957, 5.64694
9, 5.56458, 34.624, 23.9705, 42.736, 38.5505, 106.082, 107.609, 15.9803,22.663, 9.44292, 17.8066, 22.5265, 18.5119, 18.5119, 5.7003
12, , 42.7171, 36.1452, 53.7015, 51.2605, 131.132, 126.711, 27.9142,36.1452, 12.3655, 20.1381, 24.5159, 27.9142, 24.0968, 5.82506
15, 7.68126, 49.2388, 48.9252, 50.5346, 50.5346, 90.9025, 91.4436, 17.4574,21.6985, 14.4385, 17.9469, 23.8548, 32.0052, 28.8769, 5.13453
18, 7.06759, 48.7034, 41.6868, 42.7743, 37.2655, 59.9883, 65.1529, 18.2187,40.32, 11.6015, 23.6492, 31.3315, 25.3559, 22.5644, 5.856
24, , 67.3974, 61.6369, 50.08, 44.5156, 73.587, 78.3861, 26.7093, 41.4455,17.0083, 24.1997, 30.5573, 36.7935, 30.5573, 5.89177
36, 8.56558, 73.0382, 72.6035, 53.0321, 49.183, 85.8971, 65.5773, 22.4217,61.6029, 17.6263, 27.9756, 39.3464, 38.3566, 32.0984, 5.95575
80, 13.6287, 117.536, 89.5814, 62.3028, 65.2463, 88.1519, 69.0523, 36.0273,28.5734, 26.2224, 31.8703, 46.0349, 68.4816, 45.529, 5.66003
108, 9.33796, 90.5499, 111.706, 62.579, 58.5911, 91.2411, 80.7607, 20.3275,58.5911, 20.6079, 35.1547, 51.0794, 39.0607, 31.9588, 6.07347
210, 12.2879, 98.3035, 100.538, 50.2688, 37.4886, 76.2699, 73.7276, 18.2294,26.124, 21.1321, 31.9014, 35.1084, , , 4.8223
504, 12.9417, 112.319, 112.319, 46.3314, 37.6678, 79.1989, 71.8316, 19.6319,34.0672, 20.3208, 38.2904, 42.5059, , , 5.2175
1000, 12.7562, 92.7724, 115.31, 43.9869, 42.878, 63.781, 64.9998, 19.6249,24.0683, 30.5538, 38.0782, 56.0712, 69.4215, 48.5951, 5.06199
1960, 13.4499, 88.5092, 87.1042, 29.3453, 25.6428, 64.9416, 53.7997,18.4147, 20.476, 19.7395, 34.2973, 31.72, , , 4.48331
4725, 11.1178, 77.7079, 88.4102, 33.5557, 31.0179, 65.3296, 50.2194,14.8836, 24.4445, 19.8448, 29.529, 31.5481, , , 4.78125
10368, 10.9551, 77.6464, 79.0329, 39.5164, 39.8725, 78.3335, 60.628,22.8136, 47.8469, 19.4116, 26.0344, 29.1174, 28.5538, 27.8355, 5.5323
27000, 8.78361, 76.1596, 76.1596, 30.8705, 29.7165, 49.6823, 53.4397,15.1413, 27.1766, 20.7821, 24.2723, 27.8918, 28.3899, 28.3899, 4.73164
75600, 8.22269, 59.4027, 59.4027, 21.4944, 20.4197, 52.1354, 51.5866,14.4992, 22.6885, 16.3357, 18.4238, 19.9216, , , 4.2541
165375, 7.20311, 48.5905, 49.0058, 13.2724, 12.3571, 46.9974, 40.9548,10.4629, 18.0304, 15.2491, 16.9635, 17.3748, , , 3.97069
362880, 7.94085, 26.8083, 26.8083, 20.6854, 19.5967, 55.8507, 47.5325,14.1993, 25.9771, 15.0948, 14.8276, 15.5862, , , 4.06187
Norm. Avg., 0.115673, 0.778992, 0.772133, 0.455307, 0.419659, 0.861292,0.798771, 0.222806, 0.372199, 0.20496, 0.289262, 0.347647, 0.37058,0.311159, 0.0606006
------------------------------------------------------
@@@@ bench.3d.p2.dat
Array Dimensions, FFTW, HARM, HARM (f2c), NR (C), NR (F), PDA, PDA (f2c),Singleton, Singleton (f2c), Temperton, Temperton (f2c)
4x4x4, 94.6084, , , 55.6766, 34.9525, 19.6608, 16.6441, 54.7083, 51.5693,36.7921, 39.5689
8x8x8, 94.3718, 74.3085, 44.939, 79.3041, 54.2367, 33.4652, 28.7719,51.8527, 83.5149, 48.6453, 55.5128
16x16x16, 77.1958, 75.3468, 44.6203, 23.4756, 21.3995, 37.6734, 35.3453,34.9525, 31.4573, 38.8361, 43.6907
32x32x32, 57.8259, 47.0917, 33.8979, 16.6617, 15.4809, 31.9688, 30.2474,21.9674, 21.6053, 29.7891, 30.9619
64x64x64, 40.3298, 38.3625, 29.8645, 11.2347, 10.773, 28.9484, 28.5975,17.3478, 16.8521, 26.5089, 27.5941
256x64x32, 43.6907, 36.3557, 28.6249, 11.1177, 10.7343, 31.7244, 31.5236,16.4925, 15.9129, 25.8069, 27.3667
16x1024x64, 41.943, 37.7186, 29.1271, 10.7657, 10.4232, 24.4994, 24.8478,17.3605, 17.2747, ,
128x128x128, 42.1034, 35.9805, 28.9738, 10.2134, 9.95934, 31.8209, 31.8209,12.0197, 12.2063, 18.5198, 19.0981
512x128x64, 43.3214, 36.4434, 29.1271, 9.68865, 9.50697, 29.6132, 29.5185,13.7806, 13.3461, ,
Norm. Avg., 1, 0.869531, 0.63638, 0.364112, 0.300711, 0.563407, 0.546882,0.420611, 0.444787, 0.515776, 0.553152
------------------------------------------------------
@@@@ bench.3d.np2.dat
Array Dimensions, FFTW, PDA, PDA (f2c), Singleton, Singleton (f2c),Temperton, Temperton (f2c)
5x5x5, 75.0838, 21.615, 17.8324, 49.8809, 63.1236, 73.5357, 49.5345
6x6x6, 103.173, 25.4112, 20.542, 41.8355, 58.1443, 70.7322, 39.2059
7x7x7, 83.3267, 15.2479, 12.8613, 56.3447, 32.6862, ,
9x9x9, 110.922, 35.495, 27.3039, 41.5147, 62.272, 71.7072, 48.9587
10x10x10, 105.206, 34.2448, 28.5055, 41.149, 51.0248, 99.0773, 48.1366
11x11x11, 56.5801, 15.9291, 13.4972, 47.1501, 26.1945, ,
12x12x12, 110.003, 41.7335, 33.039, 36.3177, 41.0139, 76.1219, 47.5762
13x13x13, 47.6621, 15.3033, 12.7945, 40.5437, 22.7874, ,
14x14x14, 35.5026, 24.0227, 20.2616, 37.1462, 29.4985, ,
15x15x15, 81.0133, 41.5027, 32.8788, 29.0996, 35.4079, 67.5111, 51.1447
24x25x28, 39.715, 37.7292, 31.441, 29.0225, 28.8009, ,
48x48x48, 48.4433, 38.6033, 32.7957, 15.1882, 17.9899, 39.4246, 30.3763
49x49x49, 37.041, 23.043, 18.8733, 20.4298, 17.0836, ,
60x60x60, 43.0075, 37.8977, 31.6336, 14.4987, 15.8168, 43.0075, 32.9971
72x60x56, 42.417, 35.1751, 29.6338, 13.6916, 14.3263, ,
75x75x75, 37.5398, 35.5106, 32.8473, 16.4924, 17.5968, 48.6626, 37.5398
80x80x80, 42.5898, 36.5056, 32.1539, 14.5366, 16.9764, 38.2302, 29.4257
84x84x84, 37.6366, 31.3985, 25.3711, 13.7606, 13.5636, ,
96x96x96, 43.0489, 34.1364, 30.8796, 11.1324, 12.4309, 31.7779, 25.1842
105x105x105, 42.0898, 29.8945, 25.737, 15.9274, 15.7128, ,
112x112x112, 42.8232, 30.6533, 25.8482, 14.82, 15.4588, ,
120x120x120, 42.8293, 39.5202, 34.4945, 11.6782, 12.5721, 36.6858, 30.7606
144x144x144, 43.1059, 38.0497, 33.3132, 12.3089, 13.8065, 32.3078, 26.8063
180x180x180, 46.78, 38.6203, 33.5924, 12.3193, 13.2375, 41.2453, 32.7858
Norm. Avg., 0.988633, 0.618928, 0.525493, 0.457958, 0.44549, 0.836849,0.606074
@@@@ end