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tamaas/python-examples/fractal_surface.py
9770c98e92e6features/netcdf-mpi

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fractal_surface.py
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from rough_contact import *
#generate surface
SG = SurfaceGeneratorFilterFFT()
SG.getGridSize().assign(512)
SG.getHurst().assign(0.8)
SG.getRMS().assign(1.);
SG.getQ0().assign(4);
SG.getQ1().assign(4);
SG.getQ2().assign(32);
SG.getRandomSeed().assign(156);
SG.Init()
a = SG.buildSurface()
a.setL(1.);
#save the surface
a.dumpToTextFile('generated-surface.plot')
a.dumpToTextFileWithImaginary('generated-surface-im.plot')
#compute and print surface statistics
class Stats:
def __getitem__(self,key):
return self.__dict__[key]
stats = Stats()
stats.size = SG.getGridSize()
stats.hurst = SG.getHurst().value()
stats.rms = SG.getRMS()
stats.k0 = SG.getQ0()
stats.k1 = SG.getQ1().value()
stats.k2 = SG.getQ2().value()
stats.seed = SG.getRandomSeed()
stats.rms_spectral = SurfaceStatistics.computeSpectralStdev(a);
stats.rms_slopes_spectral = SurfaceStatistics.computeSpectralRMSSlope(a);
stats.rms_geometric = SurfaceStatistics.computeStdev(a);
stats.rms_slopes_geometric = SurfaceStatistics.computeRMSSlope(a);
stats.moments = SurfaceStatistics.computeMoments(a);
stats.m0 = stats['rms_spectral']**2
stats.m2 = stats.moments[0]
stats.m4 = stats.moments[1]
stats.alpha = stats['m0']*stats['m4']/(stats['m2']**2)
stats.L = a.getL()
stats.m0prime = SurfaceStatistics.computeAnalyticFractalMoment(0,stats.k1,stats.k2,stats.hurst,1. , stats.L)
stats.moment_A = stats.m0/stats.m0prime
stats.analytic_m0 = SurfaceStatistics.computeAnalyticFractalMoment(0,stats.k1,stats.k2,stats.hurst,stats.moment_A,stats.L);
stats.analytic_m2 = SurfaceStatistics.computeAnalyticFractalMoment(2,stats.k1,stats.k2,stats.hurst,stats.moment_A,stats.L);
stats.analytic_m4 = SurfaceStatistics.computeAnalyticFractalMoment(4,stats.k1,stats.k2,stats.hurst,stats.moment_A,stats.L);
stats.analytic_alpha = stats.analytic_m0*stats.analytic_m4/(stats.analytic_m2*stats.analytic_m2);
print """
[N] {size}
[rms] {rms}
[rmsSpectral] {rms_spectral}
[rmsSlopeSpectral] {rms_slopes_spectral}
[rmsSlopeGeometric] {rms_slopes_geometric}
[Hurst] {hurst}
[k1] {k1}
[k2] {k2}
[moment A] {moment_A}
[m0] {m0}
[analytic m0] {analytic_m0}
[m2] {m2}
[analytic m2] {analytic_m2}
[m4] {m4}
[analytic m4] {analytic_m4}
[alpha] {alpha}
[analytic_alpha] {analytic_alpha}
[seed] {seed}
""".format(**stats.__dict__)
#plot the surface
b = a.getWrappedNumpy().real
import matplotlib.pyplot as plt
plt.imshow(b)
plt.show()
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