| |
|
|
| import timeit |
|
|
| import numpy as np |
|
|
|
|
| |
| max_exponents_linear = {1: 15, 2: 7, 3: 5} |
| max_exponents_fft = {1: 15, 2: 10, 3: 7} |
|
|
| if __name__ == "__main__": |
| for ndims in [1, 2, 3]: |
| print("\n{}-dimensional arrays ('n' is the size of the image AND " |
| "the kernel)".format(ndims)) |
| print(" ".join(["%17s" % n for n in ("n", "convolve", "convolve_fft")])) |
|
|
| for ii in range(3, max_exponents_fft[ndims]): |
| |
| |
| if ii < max_exponents_fft[ndims]: |
| setup = (""" |
| import numpy as np |
| from astropy.convolution.convolve import convolve |
| from astropy.convolution.convolve import convolve_fft |
| array = np.random.random([%i]*%i) |
| kernel = np.random.random([%i]*%i)""") % (2 ** ii - 1, ndims, 2 ** ii - 1, ndims) |
|
|
| print("%16i:" % (int(2 ** ii - 1)), end=' ') |
|
|
| if ii <= max_exponents_linear[ndims]: |
| for convolve_type, extra in zip(("", "_fft"), |
| ("", "fft_pad=False")): |
| statement = "convolve{}(array, kernel, boundary='fill', {})".format(convolve_type, extra) |
| besttime = min(timeit.Timer(stmt=statement, setup=setup).repeat(3, 10)) |
| print("%17f" % (besttime), end=' ') |
| else: |
| print("%17s" % "skipped", end=' ') |
| statement = "convolve_fft(array, kernel, boundary='fill')" |
| besttime = min(timeit.Timer(stmt=statement, setup=setup).repeat(3, 10)) |
| print("%17f" % (besttime), end=' ') |
|
|
| print() |
|
|
| setup = (""" |
| import numpy as np |
| from astropy.convolution.convolve import convolve |
| from astropy.convolution.convolve import convolve_fft |
| array = np.random.random([%i]*%i) |
| kernel = np.random.random([%i]*%i)""") % (2 ** ii, ndims, 2 ** ii, ndims) |
|
|
| print("%16i:" % (int(2 ** ii)), end=' ') |
|
|
| if ii <= max_exponents_linear[ndims]: |
| for convolve_type in ("", "_fft",): |
| |
| if convolve_type == "": |
| print("%17s" % ("-"), end=' ') |
| else: |
| statement = "convolve{}(array, kernel, boundary='fill')".format(convolve_type) |
| besttime = min(timeit.Timer(stmt=statement, setup=setup).repeat(3, 10)) |
| print("%17f" % (besttime), end=' ') |
| else: |
| print("%17s" % "skipped", end=' ') |
| statement = "convolve_fft(array, kernel, boundary='fill')" |
| besttime = min(timeit.Timer(stmt=statement, setup=setup).repeat(3, 10)) |
| print("%17f" % (besttime), end=' ') |
|
|
| print() |
|
|
| """ |
| Unfortunately, these tests are pretty strongly inconclusive |
| NOTE: Runtime has units seconds and represents wall clock time. |
| |
| RESULTS on a late 2013 Mac Pro: |
| 3.5 GHz 6-Core Intel Xeon E5 |
| 32 GB 1866 MHz DDR3 ECC |
| Python 3.5.4 :: Anaconda custom (x86_64) |
| clang version 6.0.0 (tags/RELEASE_600/final) |
| llvm-opnemp r327556 | grokos | 2018-03-14 15:11:36 -0400 (Wed, 14 Mar 2018) |
| |
| With OpenMP (hyperthreaded 12procs), convolve() only: |
| 1-dimensional arrays ('n' is the size of the image AND the kernel) |
| n convolve convolve_fft |
| 7: 0.002895 0.007321 |
| 15: 0.002684 0.008028 |
| 31: 0.002733 0.008684 |
| 63: 0.002728 0.009127 |
| 127: 0.002851 0.012659 |
| 255: 0.002835 0.010550 |
| 511: 0.003051 0.017137 |
| 1023: 0.004042 0.019384 |
| 2047: 0.007371 0.049246 |
| 4095: 0.021903 0.039821 |
| 8191: 0.067098 8.335749 |
| 16383: 0.256072 0.272165 |
| |
| 2-dimensional arrays ('n' is the size of the image AND the kernel) |
| n convolve convolve_fft |
| 7: 0.002696 0.014745 |
| 15: 0.002839 0.014826 |
| 31: 0.004286 0.045167 |
| 63: 0.022941 0.063715 |
| 127: 0.325557 0.925577 |
| 255: skipped 0.694621 |
| 511: skipped 3.734946 |
| |
| 3-dimensional arrays ('n' is the size of the image AND the kernel) |
| n convolve convolve_fft |
| 7: 0.003502 0.033121 |
| 8: 0.003407 0.030351 |
| 15: 0.026338 0.062235 |
| 31: 1.239503 1.586930 |
| 63: skipped 10.792675 |
| |
| With OpenMP but single threaded (n_threads = 1), convolve() only: |
| 1-dimensional arrays ('n' is the size of the image AND the kernel) |
| n convolve convolve_fft |
| 7: 0.001754 0.004687 |
| 15: 0.001706 0.005133 |
| 31: 0.001744 0.005381 |
| 63: 0.001725 0.005582 |
| 127: 0.001801 0.007405 |
| 255: 0.002262 0.006528 |
| 511: 0.003866 0.009913 |
| 1023: 0.009820 0.011511 |
| 2047: 0.034707 0.028171 |
| 4095: 0.132908 0.024133 |
| 8191: 0.527692 8.311933 |
| 16383: 2.103046 0.269368 |
| |
| 2-dimensional arrays ('n' is the size of the image AND the kernel) |
| n convolve convolve_fft |
| 7: 0.001734 0.009458 |
| 15: 0.002336 0.010310 |
| 31: 0.009123 0.025427 |
| 63: 0.126701 0.040610 |
| 127: 2.126114 0.926549 |
| 255: skipped 0.690896 |
| 511: skipped 3.756475 |
| |
| 3-dimensional arrays ('n' is the size of the image AND the kernel) |
| n convolve convolve_fft |
| 7: 0.002822 0.019498 |
| 15: 0.096008 0.063744 |
| 31: 7.373533 1.578913 |
| 63: skipped 10.811530 |
| |
| RESULTS on a 2011 Mac Air: |
| 1-dimensional arrays ('n' is the size of the image AND the kernel) |
| n convolve convolve_fftnp convolve_fftw convolve_fftsp |
| 7: 0.000408 0.002334 0.005571 0.002677 |
| 15: 0.000361 0.002491 0.005648 0.002678 |
| 31: 0.000535 0.002450 0.005988 0.002880 |
| 63: 0.000509 0.002876 0.008003 0.002981 |
| 127: 0.000801 0.004080 0.008513 0.003932 |
| 255: 0.002453 0.003111 0.007518 0.003564 |
| 511: 0.008394 0.006224 0.010247 0.005991 |
| 1023: 0.028741 0.007538 0.009591 0.007696 |
| 2047: 0.106323 0.021575 0.022041 0.020682 |
| 4095: 0.411936 0.021675 0.019761 0.020939 |
| 8191: 1.664517 8.278320 0.073001 7.803563 |
| 16383: 6.654678 0.251661 0.202271 0.222171 |
| |
| 2-dimensional arrays ('n' is the size of the image AND the kernel) |
| n convolve convolve_fftnp convolve_fftw convolve_fftsp |
| 7: 0.000552 0.003524 0.006667 0.004318 |
| 15: 0.002986 0.005093 0.012941 0.005951 |
| 31: 0.074360 0.033973 0.031800 0.036937 |
| 63: 0.848471 0.057407 0.052192 0.053213 |
| 127: 14.656414 1.005329 0.402113 0.955279 |
| 255: skipped 1.715546 1.566876 1.745338 |
| 511: skipped 4.066155 4.303350 3.930661 |
| |
| 3-dimensional arrays ('n' is the size of the image AND the kernel) |
| n convolve convolve_fftnp convolve_fftw convolve_fftsp |
| 7: 0.009239 0.012957 0.011957 0.015997 |
| 15: 0.772434 0.075621 0.056711 0.079508 |
| 31: 62.824051 2.295193 1.189505 2.351136 |
| 63: skipped 11.250225 10.982726 10.585744 |
| |
| |
| |
| On a 2009 Mac Pro: |
| 1-dimensional arrays ('n' is the size of the image AND the kernel) |
| n convolve convolve_fftnp convolve_fftw convolve_fftsp |
| 7: 0.000360 0.002269 0.004986 0.002476 |
| 15: 0.000364 0.002255 0.005244 0.002471 |
| 31: 0.000385 0.002380 0.005422 0.002588 |
| 63: 0.000474 0.002407 0.005392 0.002637 |
| 127: 0.000752 0.004122 0.007827 0.003966 |
| 255: 0.004316 0.003258 0.006566 0.003324 |
| 511: 0.011517 0.007158 0.009898 0.006238 |
| 1023: 0.034105 0.009211 0.009468 0.008260 |
| 2047: 0.113620 0.028097 0.020662 0.021603 |
| 4095: 0.403373 0.023211 0.018767 0.020065 |
| 8191: 1.519329 8.454573 0.211436 7.212381 |
| 16383: 5.887481 0.317428 0.153344 0.237119 |
| |
| 2-dimensional arrays ('n' is the size of the image AND the kernel) |
| n convolve convolve_fftnp convolve_fftw convolve_fftsp |
| 7: 0.000474 0.003470 0.006131 0.003503 |
| 15: 0.002011 0.004481 0.007825 0.004496 |
| 31: 0.027291 0.019433 0.014841 0.018034 |
| 63: 0.445680 0.038171 0.026753 0.037404 |
| 127: 7.003774 0.925921 0.282591 0.762671 |
| 255: skipped 0.804682 0.708849 0.869368 |
| 511: skipped 3.643626 3.687562 4.584770 |
| |
| 3-dimensional arrays ('n' is the size of the image AND the kernel) |
| n convolve convolve_fftnp convolve_fftw convolve_fftsp |
| 7: 0.004520 0.011519 0.009464 0.012335 |
| 15: 0.329566 0.060978 0.045495 0.073692 |
| 31: 24.935228 1.654920 0.710509 1.773879 |
| 63: skipped 8.982771 12.407683 16.900078 |
| """ |
|
|
