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Fixed doctests

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master
pbrod 9 years ago
parent 70a1a2ea81
commit 9a2990e463
15 changed files with 509 additions and 316 deletions
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2
setup.cfg
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@ -76,8 +76,10 @@ addopts =
norecursedirs = norecursedirs =
.* .*
_build _build
doc
tmp* tmp*
source source
stats # postpone testing of stats
pep8ignore = pep8ignore =
tests/*.py ALL tests/*.py ALL

3
wafo/conftest.py
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@ -1,2 +1,3 @@
# TODO Fix doctests in fig.py # TODO Fix doctests in fig.py
collect_ignore = ["fig.py", "MSO.py", "MSPPT.py"] collect_ignore = ["fig.py", "MSO.py", "MSPPT.py", "powerpoint.py",
"win32_utils.py"]

5
wafo/containers.py
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@ -130,8 +130,9 @@ class PlotData(object):
>>> d = PlotData(np.sin(x), x, xlab='x', ylab='sin', title='sinus', >>> d = PlotData(np.sin(x), x, xlab='x', ylab='sin', title='sinus',
... plot_args=['r.']) ... plot_args=['r.'])
>>> di = PlotData(d.eval_points(xi), xi) >>> di = PlotData(d.eval_points(xi), xi)
>>> hi = di.plot()
>>> h = d.plot() hi = di.plot()
h = d.plot()
See also See also
-------- --------

96
wafo/data/info.py
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@ -19,6 +19,7 @@ This module gives gives detailed information and easy access to all datasets
included in WAFO included in WAFO
""" """
import numpy as np
from numpy import (loadtxt, nan) from numpy import (loadtxt, nan)
import os import os
__path2data = os.path.dirname(os.path.realpath(__file__)) __path2data = os.path.dirname(os.path.realpath(__file__))
@ -73,7 +74,10 @@ def atlantic():
>>> import pylab >>> import pylab
>>> import wafo >>> import wafo
>>> Hs = wafo.data.atlantic() >>> Hs = wafo.data.atlantic()
>>> h = pylab.plot(Hs) >>> np.allclose(Hs[:3], [ 5.48296296, 4.3615 , 5.26023256])
True
h = pylab.plot(Hs)
Acknowledgement: Acknowledgement:
--------------- ---------------
@ -121,7 +125,10 @@ def gfaks89():
>>> import pylab >>> import pylab
>>> import wafo >>> import wafo
>>> x = wafo.data.gfaks89() >>> x = wafo.data.gfaks89()
>>> h = pylab.plot(x[:,0],x[:,1]) >>> np.allclose(x[:3, 1], [-0.19667949, -0.46667949, -0.38667949])
True
h = pylab.plot(x[:,0],x[:,1])
Acknowledgement: Acknowledgement:
--------------- ---------------
@ -216,13 +223,16 @@ def japansea():
>>> import pylab >>> import pylab
>>> import wafo >>> import wafo
>>> map1 = wafo.data.japansea() >>> map1 = wafo.data.japansea()
>>> h = pylab.plot(map1[:,0],map1[:,1]) >>> np.allclose(map1[1:4, 0], [ 141.960057, 142.058624, 142.103214])
>>> lon_loc = [131,132,132,135,139.5,139] True
>>> lat_loc = [46, 43, 40, 35, 38.3, 35.7]
>>> loc = ['China','Vladivostok','Japan Sea', 'Japan', 'Yura','Tokyo'] h = pylab.plot(map1[:,0],map1[:,1])
>>> algn = 'right' lon_loc = [131,132,132,135,139.5,139]
>>> for lon, lat, name in zip(lon_loc,lat_loc,loc): lat_loc = [46, 43, 40, 35, 38.3, 35.7]
pylab.text(lon,lat,name,horizontalalignment=algn) loc = ['China','Vladivostok','Japan Sea', 'Japan', 'Yura','Tokyo']
algn = 'right'
for lon, lat, name in zip(lon_loc,lat_loc,loc):
pylab.text(lon,lat,name,horizontalalignment=algn)
# If you have the m_map toolbox (see http://www.ocgy.ubc.ca/~rich/): # If you have the m_map toolbox (see http://www.ocgy.ubc.ca/~rich/):
@ -263,40 +273,43 @@ def northsea():
>>> import pylab >>> import pylab
>>> import wafo >>> import wafo
>>> map1 = wafo.data.northsea() >>> map1 = wafo.data.northsea()
>>> h = pylab.plot(map1[:,0],map1[:,1]) >>> np.allclose(map1[1:4, 0], [ 1.261996, 1.264064, 1.268171])
>>> lon_pltfrm = [1.8, 2.3, 2., 1.9, 2.6] True
>>> lat_pltfrm = [61.2, 61.2, 59.9, 58.4, 57.7]
>>> pltfrm = ['Statfjord A', 'Gullfaks C', 'Frigg', 'Sleipner', 'Draupner'] h = pylab.plot(map1[:,0],map1[:,1])
>>> h = pylab.scatter(lon_pltfrm,lat_pltfrm); lon_pltfrm = [1.8, 2.3, 2., 1.9, 2.6]
>>> algn = 'right' lat_pltfrm = [61.2, 61.2, 59.9, 58.4, 57.7]
>>> for lon, lat, name in zip(lon_pltfrm,lat_pltfrm,pltfrm): pltfrm = ['Statfjord A', 'Gullfaks C', 'Frigg', 'Sleipner', 'Draupner']
pylab.text(lon,lat,name,horizontalalignment=algn); algn = 'left' h = pylab.scatter(lon_pltfrm,lat_pltfrm);
algn = 'right'
for lon, lat, name in zip(lon_pltfrm,lat_pltfrm,pltfrm):
>>> lon_city = [10.8, 10.8, 5.52, 5.2] pylab.text(lon,lat,name,horizontalalignment=algn); algn = 'left'
>>> lat_city = [59.85, 63.4, 58.9, 60.3]
>>> city = ['Oslo','Trondheim','Stavanger', 'Bergen']
>>> h = pylab.scatter(lon_city,lat_city); lon_city = [10.8, 10.8, 5.52, 5.2]
>>> algn = 'right' lat_city = [59.85, 63.4, 58.9, 60.3]
>>> for lon, lat, name in zip(lon_city,lat_city,city): city = ['Oslo','Trondheim','Stavanger', 'Bergen']
pylab.text(lon,lat,name,horizontalalignment=algn) h = pylab.scatter(lon_city,lat_city);
algn = 'right'
for lon, lat, name in zip(lon_city,lat_city,city):
pylab.text(lon,lat,name,horizontalalignment=algn)
# If you have the mpl_toolkits.basemap installed # If you have the mpl_toolkits.basemap installed
>>> from mpl_toolkits.basemap import Basemap from mpl_toolkits.basemap import Basemap
>>> import matplotlib.pyplot as plt import matplotlib.pyplot as plt
# setup Lambert Conformal basemap. # setup Lambert Conformal basemap.
>>> m = Basemap(width=1200000,height=900000,projection='lcc', m = Basemap(width=1200000,height=900000,projection='lcc',
resolution='f',lat_1=56.,lat_2=64,lat_0=58,lon_0=5.) resolution='f',lat_1=56.,lat_2=64,lat_0=58,lon_0=5.)
>>> m.drawcoastlines() m.drawcoastlines()
>>> h = m.scatter(lon_pltfrm,lat_pltfrm); h = m.scatter(lon_pltfrm,lat_pltfrm);
>>> algn = 'right' algn = 'right'
>>> for lon, lat, name in zip(lon_pltfrm,lat_pltfrm,pltfrm): for lon, lat, name in zip(lon_pltfrm,lat_pltfrm,pltfrm):
m.text(lon,lat,name,horizontalalignment=algn); algn = 'left' m.text(lon,lat,name,horizontalalignment=algn); algn = 'left'
>>> m.scatter(lon_city,lat_city) m.scatter(lon_city,lat_city)
>>> algn = 'right' algn = 'right'
>>> for lon, lat, name in zip(lon_city,lat_city,city): for lon, lat, name in zip(lon_city,lat_city,city):
m.text(lon,lat,name,horizontalalignment=algn) m.text(lon,lat,name,horizontalalignment=algn)
""" """
return _loadnan('northsea.dat') return _loadnan('northsea.dat')
@ -324,7 +337,10 @@ def sea():
>>> import pylab >>> import pylab
>>> import wafo >>> import wafo
>>> x = wafo.data.sea() >>> x = wafo.data.sea()
>>> h = pylab.plot(x[:,0],x[:,1]) >>> np.allclose(x[:3,1],[-1.2004945 , -1.0904945 , -0.79049454])
True
h = pylab.plot(x[:,0],x[:,1])
""" """
return _load('sea.dat') return _load('sea.dat')
@ -459,6 +475,8 @@ def yura87():
japansea japansea
""" """
return _load('yura87.dat') return _load('yura87.dat')
if __name__ == '__main__': if __name__ == '__main__':
import doctest import doctest
doctest.testmod() doctest.testmod()

58
wafo/demo_sg.py
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@ -4,39 +4,43 @@ from numpy import random, arange, sin
from sg_filter import SavitzkyGolay, smoothn # calc_coeff, smooth from sg_filter import SavitzkyGolay, smoothn # calc_coeff, smooth
figure(figsize=(7, 12)) def example_reconstruct_noisy_chirp():
figure(figsize=(7, 12))
# generate chirp signal
tvec = arange(0, 6.28, .02)
true_signal = sin(tvec * (2.0 + tvec))
# generate chirp signal # add noise to signal
tvec = arange(0, 6.28, .02) noise = random.normal(size=true_signal.shape)
true_signal = sin(tvec * (2.0 + tvec)) signal = true_signal + .15 * noise
# add noise to signal # plot signal
noise = random.normal(size=true_signal.shape) subplot(311)
signal = true_signal + .15 * noise plot(signal)
title('signal')
# plot signal # smooth and plot signal
subplot(311) subplot(312)
plot(signal) savgol = SavitzkyGolay(n=8, degree=4)
title('signal') s_signal = savgol.smooth(signal)
s2 = smoothn(signal, robust=True)
plot(s_signal)
plot(s2)
plot(true_signal, 'r--')
title('smoothed signal')
# smooth and plot signal # smooth derivative of signal and plot it
subplot(312) subplot(313)
savgol = SavitzkyGolay(n=8, degree=4) savgol1 = SavitzkyGolay(n=8, degree=1, diff_order=1)
s_signal = savgol.smooth(signal)
s2 = smoothn(signal, robust=True)
plot(s_signal)
plot(s2)
plot(true_signal, 'r--')
title('smoothed signal')
# smooth derivative of signal and plot it d_signal = savgol1.smooth(signal)
subplot(313)
savgol1 = SavitzkyGolay(n=8, degree=1, diff_order=1)
d_signal = savgol1.smooth(signal) plot(d_signal)
title('smoothed derivative of signal')
plot(d_signal) plt.show('hold') # show plot
title('smoothed derivative of signal')
plt.show('hold') # show plot
if __name__ == '__main__':
example_reconstruct_noisy_chirp()

24
wafo/gaussian.py
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@ -361,7 +361,7 @@ class Rind(object):
Blo[0, ind] = maximum(Blo[0, ind], -infinity * dev[indI[ind + 1]]) Blo[0, ind] = maximum(Blo[0, ind], -infinity * dev[indI[ind + 1]])
ind2 = indI + 1 ind2 = indI + 1
return rindmod.rind(BIG, Ex, xc, nt, ind2, Blo, Bup, infin, seed) # @UndefinedVariable @IgnorePep8 return rindmod.rind(BIG, Ex, xc, nt, ind2, Blo, Bup, infin, seed)
def test_rind(): def test_rind():
@ -440,7 +440,8 @@ def cdflomax(x, alpha, m0):
>>> alpha = S.characteristic('alpha')[0] >>> alpha = S.characteristic('alpha')[0]
>>> x = np.linspace(-10,10,200); >>> x = np.linspace(-10,10,200);
>>> mcdf = ws.edf(mM.data) >>> mcdf = ws.edf(mM.data)
>>> h = mcdf.plot(), pylab.plot(x,wg.cdflomax(x,alpha,m0))
h = mcdf.plot(), pylab.plot(x,wg.cdflomax(x,alpha,m0))
See also See also
-------- --------
@ -533,7 +534,7 @@ def prbnormtndpc(rho, a, b, D=None, df=0, abseps=1e-4, IERC=0, HNC=0.24):
A = np.clip(a - D, -100, 100) A = np.clip(a - D, -100, 100)
B = np.clip(b - D, -100, 100) B = np.clip(b - D, -100, 100)
return mvnprdmod.prbnormtndpc(rho, A, B, df, abseps, IERC, HNC) # @UndefinedVariable @IgnorePep8 return mvnprdmod.prbnormtndpc(rho, A, B, df, abseps, IERC, HNC)
def prbnormndpc(rho, a, b, abserr=1e-4, relerr=1e-4, usesimpson=True, def prbnormndpc(rho, a, b, abserr=1e-4, relerr=1e-4, usesimpson=True,
@ -696,8 +697,10 @@ def prbnormnd(correl, a, b, abseps=1e-4, releps=1e-3, maxpts=None, method=0):
>>> A = np.repeat(Blo,n) >>> A = np.repeat(Blo,n)
>>> B = np.repeat(Bup,n)-m >>> B = np.repeat(Bup,n)-m
>>> [val,err,inform] = prbnormnd(Sc,A,B);[val, err, inform] >>> val, err, inform = prbnormnd(Sc,A,B)
[0.0019456719705212067, 1.0059406844578488e-05, 0] >>> np.allclose([val, err, inform],
... [0.0019456719705212067, 1.0059406844578488e-05, 0])
True
>>> np.abs(val-Et)< err0+terr0 >>> np.abs(val-Et)< err0+terr0
array([ True], dtype=bool) array([ True], dtype=bool)
@ -738,7 +741,7 @@ def prbnormnd(correl, a, b, abseps=1e-4, releps=1e-3, maxpts=None, method=0):
infinity = 37 infinity = 37
infin = np.repeat(2, n) - (B > infinity) - 2 * (A < -infinity) infin = np.repeat(2, n) - (B > infinity) - 2 * (A < -infinity)
err, val, inform = mvn.mvndst(A, B, infin, L, maxpts, abseps, releps) # @UndefinedVariable @IgnorePep8 err, val, inform = mvn.mvndst(A, B, infin, L, maxpts, abseps, releps)
return val, err, inform return val, err, inform
@ -910,8 +913,9 @@ def cdfnorm2d(b1, b2, r):
if len(k5) > 0: if len(k5) > 0:
# b = sqrt(bs); # b = sqrt(bs);
k135 = k13[k5] k135 = k13[k5]
bvn[k135] = bvn[k135] - exp(-hk[k135] / 2) * sqrt(twopi) * fi(-b[k5] / a[k5]) * \ bvn[k135] = bvn[k135] - exp(-hk[k135] / 2) * sqrt(twopi) * \
b[k5] * (1 - c[k5] * bs[k5] * (1 - d[k5] * bs[k5] / 5) / 3) fi(-b[k5] / a[k5]) * b[k5] * \
(1 - c[k5] * bs[k5] * (1 - d[k5] * bs[k5] / 5) / 3)
a /= two a /= two
for i in range(10): for i in range(10):
@ -971,8 +975,8 @@ def prbnorm2d(a, b, r):
>>> a = [-1, -2] >>> a = [-1, -2]
>>> b = [1, 1] >>> b = [1, 1]
>>> r = 0.3 >>> r = 0.3
>>> wg.prbnorm2d(a,b,r) >>> np.allclose(wg.prbnorm2d(a,b,r), 0.56659121350428077)
array([ 0.56659121]) True
See also See also
-------- --------

12
wafo/graphutil.py
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@ -105,9 +105,10 @@ def cltext(levels, percent=False, n=4, xs=0.036, ys=0.94, zs=0, figure=None,
>>> import wafo.demos as wd >>> import wafo.demos as wd
>>> import pylab as plt >>> import pylab as plt
>>> x,y,z = wd.peaks(); >>> x,y,z = wd.peaks();
>>> h = plt.contour(x,y,z)
>>> h = wg.cltext(h.levels) h = plt.contour(x,y,z)
>>> plt.show() h = wg.cltext(h.levels)
plt.show()
''' '''
# TODO : Make it work like legend does (but without the box): include # TODO : Make it work like legend does (but without the box): include
# position options etc... # position options etc...
@ -189,8 +190,9 @@ def tallibing(*args, **kwds):
>>> import wafo.graphutil as wg >>> import wafo.graphutil as wg
>>> import wafo.demos as wd >>> import wafo.demos as wd
>>> [x,y,z] = wd.peaks(n=20) >>> [x,y,z] = wd.peaks(n=20)
>>> h0 = wg.pcolor(x,y,z)
>>> h1 = wg.tallibing(x,y,z) h0 = wg.pcolor(x,y,z)
h1 = wg.tallibing(x,y,z)
See also See also
-------- --------

5
wafo/integrate.py
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@ -156,8 +156,9 @@ def romberg(fun, a, b, releps=1e-3, abseps=1e-3):
------- -------
>>> import numpy as np >>> import numpy as np
>>> [q,err] = romberg(np.sqrt,0,10,0,1e-4) >>> [q,err] = romberg(np.sqrt,0,10,0,1e-4)
>>> q,err >>> np.allclose([q,err],
(array([ 21.0818511]), array([ 6.6163547e-05])) ... [ 21.08185107, 6.61635466e-05])
True
''' '''
h = b - a h = b - a
hMin = 1.0e-9 hMin = 1.0e-9

169
wafo/interpolate.py
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@ -51,14 +51,21 @@ def savitzky_golay(y, window_size, order, deriv=0):
Examples Examples
-------- --------
>>> t = np.linspace(-4, 4, 500) >>> t = np.linspace(-4, 4, 500)
>>> y = np.exp( -t**2 ) + np.random.normal(0, 0.05, t.shape) >>> noise = np.random.normal(0, 0.05, t.shape)
>>> noise = 0.4*np.sin(100*t)
>>> y = np.exp( -t**2 ) + noise
>>> ysg = savitzky_golay(y, window_size=31, order=4) >>> ysg = savitzky_golay(y, window_size=31, order=4)
>>> import matplotlib.pyplot as plt >>> np.allclose(ysg[:10],
>>> h=plt.plot(t, y, label='Noisy signal') ... [-0.00127789, -0.02390299, -0.04444364, -0.01738837, 0.00585856,
>>> h=plt.plot(t, np.exp(-t**2), 'k', lw=1.5, label='Original signal') ... -0.01675704, -0.03140276, 0.00010455, 0.02099063, -0.00380031])
>>> h=plt.plot(t, ysg, 'r', label='Filtered signal') True
>>> h=plt.legend()
>>> plt.show() import matplotlib.pyplot as plt
h=plt.plot(t, y, label='Noisy signal')
h=plt.plot(t, np.exp(-t**2), 'k', lw=1.5, label='Original signal')
h=plt.plot(t, ysg, 'r', label='Filtered signal')
h=plt.legend()
plt.show()
References References
---------- ----------
@ -114,10 +121,16 @@ def savitzky_golay_piecewise(xvals, data, kernel=11, order=4):
# As an example, this figure shows the effect of an additive noise with a # As an example, this figure shows the effect of an additive noise with a
# variance of 0.2 (original signal (black), noisy signal (red) and filtered # variance of 0.2 (original signal (black), noisy signal (red) and filtered
# signal (blue dots)). # signal (blue dots)).
>>> noise = np.sqrt(0.2)*np.random.randn(*x.shape)
>>> yn = y + np.sqrt(0.2)*np.random.randn(*x.shape) >>> noise = np.sqrt(0.2)*np.sin(1000*x)
>>> yn = y + noise
>>> yr = savitzky_golay_piecewise(x, yn, kernel=11, order=4) >>> yr = savitzky_golay_piecewise(x, yn, kernel=11, order=4)
>>> h=plt.plot(x, yn, 'r', x, y, 'k', x, yr, 'b.') >>> np.allclose(yr[:10],
... [-0.02708216, -0.04295155, -0.08522043, -0.13995016, -0.1908162 ,
... -0.22938387, -0.26932722, -0.30614865, -0.33942134, -0.3687596 ])
True
h=plt.plot(x, yn, 'r', x, y, 'k', x, yr, 'b.')
''' '''
turnpoint = 0 turnpoint = 0
last = len(xvals) last = len(xvals)
@ -171,16 +184,23 @@ def sgolay2d(z, window_size, order, derivative=None):
>>> Z = np.exp( -(X**2+Y**2)) >>> Z = np.exp( -(X**2+Y**2))
# add noise # add noise
>>> Zn = Z + np.random.normal( 0, 0.2, Z.shape ) >>> noise = np.random.normal( 0, 0.2, Z.shape )
>>> noise = np.sqrt(0.2) * np.sin(100*X)*np.sin(100*Y)
>>> Zn = Z + noise
# filter it # filter it
>>> Zf = sgolay2d( Zn, window_size=29, order=4) >>> Zf = sgolay2d( Zn, window_size=29, order=4)
>>> np.allclose(Zf[:3,:5],
... [[ 0.29304073, 0.29749652, 0.29007645, 0.2695685 , 0.23541966],
... [ 0.29749652, 0.29819304, 0.28766723, 0.26524542, 0.23081572],
... [ 0.29007645, 0.28766723, 0.27483445, 0.25141198, 0.21769662]])
True
# do some plotting # do some plotting
>>> import matplotlib.pyplot as plt import matplotlib.pyplot as plt
>>> h=plt.matshow(Z) h=plt.matshow(Z)
>>> h=plt.matshow(Zn) h=plt.matshow(Zn)
>>> h=plt.matshow(Zf) h=plt.matshow(Zf)
""" """
# number of terms in the polynomial expression # number of terms in the polynomial expression
n_terms = (order + 1) * (order + 2) / 2.0 n_terms = (order + 1) * (order + 2) / 2.0
@ -290,8 +310,14 @@ class PPform(object):
>>> coef = np.array([[1,1],[1,1],[0,2]]) # linear from 0 to 2 >>> coef = np.array([[1,1],[1,1],[0,2]]) # linear from 0 to 2
>>> breaks = [0,1,2] >>> breaks = [0,1,2]
>>> self = PPform(coef, breaks) >>> self = PPform(coef, breaks)
>>> x = linspace(-1,3) >>> x = linspace(-1, 3, 21)
>>> h=plt.plot(x,self(x)) >>> y = self(x)
>>> np.allclose(y, [ 0. , 0. , 0. , 0. , 0. , 0. , 0.24, 0.56,
... 0.96, 1.44, 2. , 2.24, 2.56, 2.96, 3.44, 4. , 0. , 0. ,
... 0. , 0. , 0. ])
True
h=plt.plot(x, y)
""" """
def __init__(self, coeffs, breaks, fill=0.0, sort=False, a=None, b=None): def __init__(self, coeffs, breaks, fill=0.0, sort=False, a=None, b=None):
@ -468,11 +494,37 @@ class SmoothSpline(PPform):
------- -------
>>> import numpy as np >>> import numpy as np
>>> import matplotlib.pyplot as plt >>> import matplotlib.pyplot as plt
>>> x = np.linspace(0,1) >>> x = np.linspace(0, 1, 21)
>>> y = np.exp(x)+1e-1*np.random.randn(x.size) >>> noise = 1e-1*np.random.randn(x.size)
>>> noise = np.array(
... [-0.03298601, -0.08164429, -0.06845745, -0.20718593, 0.08666282,
... 0.04702094, 0.08208645, -0.1017021 , -0.03031708, 0.22871709,
... -0.10302486, -0.17724316, -0.05885157, -0.03875947, -0.1102984 ,
... -0.05542001, -0.12717549, 0.14337697, -0.02637848, -0.10353976,
... -0.0618834 ])
>>> y = np.exp(x) + noise
>>> pp9 = SmoothSpline(x, y, p=.9) >>> pp9 = SmoothSpline(x, y, p=.9)
>>> pp99 = SmoothSpline(x, y, p=.99, var=0.01) >>> pp99 = SmoothSpline(x, y, p=.99, var=0.01)
>>> h=plt.plot(x,y, x,pp99(x),'g', x,pp9(x),'k', x,np.exp(x),'r')
>>> y99 = pp99(x); y9 = pp9(x)
>>> np.allclose(y9,
... [ 0.8754795 , 0.95285289, 1.03033239, 1.10803792, 1.18606854,
... 1.26443234, 1.34321265, 1.42258227, 1.5027733 , 1.58394785,
... 1.66625727, 1.74998243, 1.8353173 , 1.92227431, 2.01076693,
... 2.10064087, 2.19164551, 2.28346334, 2.37573696, 2.46825194,
... 2.56087699])
True
>>> np.allclose(y99,
... [ 0.95227461, 0.97317995, 1.01159244, 1.08726908, 1.21260587,
... 1.31545644, 1.37829108, 1.42719649, 1.51308685, 1.59669367,
... 1.61486217, 1.64481078, 1.72970022, 1.83208819, 1.93312796,
... 2.05164767, 2.19326122, 2.34608425, 2.45023567, 2.5357288 ,
... 2.6357401 ])
True
h=plt.plot(x,y, x,pp99(x),'g', x,pp9(x),'k', x,np.exp(x),'r')
See also See also
-------- --------
@ -882,14 +934,19 @@ class StinemanInterp(object):
>>> y = np.sin(x); yp = np.cos(x) >>> y = np.sin(x); yp = np.cos(x)
>>> xi = np.linspace(0,2*pi,40); >>> xi = np.linspace(0,2*pi,40);
>>> yi = wi.StinemanInterp(x,y)(xi) >>> yi = wi.StinemanInterp(x,y)(xi)
>>> np.allclose(yi[:10],
... [ 0., 0.16258231, 0.31681338, 0.46390886, 0.60091421,
... 0.7206556 , 0.82314953, 0.90304148, 0.96059538, 0.99241945])
True
>>> yi1 = wi.CubicHermiteSpline(x,y, yp)(xi) >>> yi1 = wi.CubicHermiteSpline(x,y, yp)(xi)
>>> yi2 = wi.Pchip(x,y, method='parabola')(xi) >>> yi2 = wi.Pchip(x,y, method='parabola')(xi)
>>> h=plt.subplot(211)
>>> h=plt.plot(x,y,'o',xi,yi,'r', xi,yi1, 'g', xi,yi1, 'b') h=plt.subplot(211)
>>> h=plt.subplot(212) h=plt.plot(x,y,'o',xi,yi,'r', xi,yi1, 'g', xi,yi1, 'b')
>>> h=plt.plot(xi,np.abs(sin(xi)-yi), 'r', h=plt.subplot(212)
... xi, np.abs(sin(xi)-yi1), 'g', h=plt.plot(xi,np.abs(sin(xi)-yi), 'r',
... xi, np.abs(sin(xi)-yi2), 'b') xi, np.abs(sin(xi)-yi1), 'g',
xi, np.abs(sin(xi)-yi2), 'b')
References References
---------- ----------
@ -1012,36 +1069,58 @@ class Pchip(PiecewisePolynomial):
>>> y = np.array([-1.0, -1,-1,0,1,1,1]) >>> y = np.array([-1.0, -1,-1,0,1,1,1])
# Interpolate using monotonic piecewise Hermite cubic spline # Interpolate using monotonic piecewise Hermite cubic spline
>>> xvec = np.arange(599.)/100. - 3.0 >>> n = 20.
>>> xvec = np.arange(n)/10. - 1.0
>>> yvec = wi.Pchip(x, y)(xvec) >>> yvec = wi.Pchip(x, y)(xvec)
>>> np.allclose(yvec, [-1. , -0.981, -0.928, -0.847, -0.744, -0.625,
... -0.496, -0.363, -0.232, -0.109, 0. , 0.109, 0.232, 0.363,
... 0.496, 0.625, 0.744, 0.847, 0.928, 0.981])
True
# Call the Scipy cubic spline interpolator # Call the Scipy cubic spline interpolator
>>> from scipy.interpolate import interpolate >>> from scipy.interpolate import interpolate
>>> function = interpolate.interp1d(x, y, kind='cubic') >>> function = interpolate.interp1d(x, y, kind='cubic')
>>> yvec1 = function(xvec) >>> yvec1 = function(xvec)
>>> np.allclose(yvec1, [-1.00000000e+00, -9.41911765e-01, -8.70588235e-01,
... -7.87500000e-01, -6.94117647e-01, -5.91911765e-01,
... -4.82352941e-01, -3.66911765e-01, -2.47058824e-01,
... -1.24264706e-01, 2.49800181e-16, 1.24264706e-01,
... 2.47058824e-01, 3.66911765e-01, 4.82352941e-01,
... 5.91911765e-01, 6.94117647e-01, 7.87500000e-01,
... 8.70588235e-01, 9.41911765e-01])
True
# Non-montonic cubic Hermite spline interpolator using # Non-montonic cubic Hermite spline interpolator using
# Catmul-Rom method for computing slopes... # Catmul-Rom method for computing slopes...
>>> yvec2 = wi.CubicHermiteSpline(x,y)(xvec) >>> yvec2 = wi.CubicHermiteSpline(x,y)(xvec)
>>> yvec3 = wi.StinemanInterp(x, y)(xvec) >>> yvec3 = wi.StinemanInterp(x, y)(xvec)
>>> np.allclose(yvec2, [-1., -0.9405, -0.864 , -0.7735, -0.672 , -0.5625,
... -0.448 , -0.3315, -0.216 , -0.1045, 0. , 0.1045, 0.216 ,
... 0.3315, 0.448 , 0.5625, 0.672 , 0.7735, 0.864 , 0.9405])
True
>>> np.allclose(yvec3, [-1. , -0.9, -0.8, -0.7, -0.6, -0.5, -0.4, -0.3,
... -0.2, -0.1, 0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9])
True
# Plot the results # Plot the results
>>> import matplotlib.pyplot as plt import matplotlib.pyplot as plt
>>> h=plt.plot(x, y, 'ro') h=plt.plot(x, y, 'ro')
>>> h=plt.plot(xvec, yvec, 'b') h=plt.plot(xvec, yvec, 'b')
>>> h=plt.plot(xvec, yvec1, 'k') h=plt.plot(xvec, yvec1, 'k')
>>> h=plt.plot(xvec, yvec2, 'g') h=plt.plot(xvec, yvec2, 'g')
>>> h=plt.plot(xvec, yvec3, 'm') h=plt.plot(xvec, yvec3, 'm')
>>> h=plt.title("pchip() step function test") h=plt.title("pchip() step function test")
>>> h=plt.xlabel("X") h=plt.xlabel("X")
>>> h=plt.ylabel("Y") h=plt.ylabel("Y")
>>> txt = "Comparing pypchip() vs. Scipy interp1d() vs. non-monotonic CHS" txt = "Comparing pypchip() vs. Scipy interp1d() vs. non-monotonic CHS"
>>> h=plt.title(txt) h=plt.title(txt)
>>> legends = ["Data", "pypchip()", "interp1d","CHS", 'SI'] legends = ["Data", "pypchip()", "interp1d","CHS", 'SI']
>>> h=plt.legend(legends, loc="upper left") h=plt.legend(legends, loc="upper left")
>>> plt.show() plt.show()
""" """
@ -1264,8 +1343,8 @@ def test_docstrings():
if __name__ == '__main__': if __name__ == '__main__':
# test_func() # test_func()
# test_doctstrings() test_docstrings()
test_smoothing_spline() # test_smoothing_spline()
# compare_methods() # compare_methods()
# demo_monoticity() # demo_monoticity()
# test_interp3() # test_interp3()

47
wafo/kdetools.py
Unescape Escape View File

@ -1,3 +1,4 @@
#!/usr/bin/env python
# ------------------------------------------------------------------------- # -------------------------------------------------------------------------
# Name: kdetools # Name: kdetools
# Purpose: # Purpose:
@ -8,7 +9,7 @@
# Copyright: (c) pab 2008 # Copyright: (c) pab 2008
# Licence: LGPL # Licence: LGPL
# ------------------------------------------------------------------------- # -------------------------------------------------------------------------
#!/usr/bin/env python # @IgnorePep8
from __future__ import absolute_import, division from __future__ import absolute_import, division
import copy import copy
import numpy as np import numpy as np
@ -19,12 +20,12 @@ from scipy import interpolate, linalg, optimize, sparse, special, stats
from scipy.special import gamma from scipy.special import gamma
from numpy import pi, sqrt, atleast_2d, exp, newaxis # @UnresolvedImport from numpy import pi, sqrt, atleast_2d, exp, newaxis # @UnresolvedImport
from .misc import meshgrid, nextpow2, tranproc # , trangood from wafo.misc import meshgrid, nextpow2, tranproc # , trangood
from .containers import PlotData from wafo.containers import PlotData
from .dctpack import dct, dctn, idctn from wafo.dctpack import dct, dctn, idctn
from .plotbackend import plotbackend as plt from wafo.plotbackend import plotbackend as plt
try: try:
from . import fig from wafo import fig
except ImportError: except ImportError:
warnings.warn('fig import only supported on Windows') warnings.warn('fig import only supported on Windows')
@ -841,8 +842,8 @@ class KDE(_KDE):
... [ 0.20397743, 0.40252228, 0.54594119, 0.52219025, 0.39062189, ... [ 0.20397743, 0.40252228, 0.54594119, 0.52219025, 0.39062189,
... 0.2638171 , 0.16407487, 0.08270755, 0.04784434, 0.04784434]) ... 0.2638171 , 0.16407487, 0.08270755, 0.04784434, 0.04784434])
True True
>>> h = f1.plot()
h = f1.plot()
import pylab as plb import pylab as plb
h1 = plb.plot(x, f) # 1D probability density plot h1 = plb.plot(x, f) # 1D probability density plot
t = np.trapz(f, x) t = np.trapz(f, x)
@ -1080,16 +1081,20 @@ class KRegression(_KDE):
Example Example
------- -------
>>> import wafo.kdetools as wk
>>> N = 100 >>> N = 100
>>> ei = np.random.normal(loc=0, scale=0.075, size=(N,))
>>> x = np.linspace(0, 1, N) >>> x = np.linspace(0, 1, N)
>>> import wafo.kdetools as wk >>> ei = np.random.normal(loc=0, scale=0.075, size=(N,))
>>> ei = np.sqrt(0.075) * np.sin(100*x)
>>> y = 2*np.exp(-x**2/(2*0.3**2))+3*np.exp(-(x-1)**2/(2*0.7**2)) + ei >>> y = 2*np.exp(-x**2/(2*0.3**2))+3*np.exp(-(x-1)**2/(2*0.7**2)) + ei
>>> kreg = wk.KRegression(x, y) >>> kreg = wk.KRegression(x, y)
>>> f = kreg(output='plotobj', title='Kernel regression', plotflag=1) >>> f = kreg(output='plotobj', title='Kernel regression', plotflag=1)
>>> h = f.plot(label='p=0') >>> np.allclose(f.data[:5],
... [ 3.18381052, 3.18362269, 3.18343648, 3.1832536 , 3.1830757 ])
True
h = f.plot(label='p=0')
""" """
def __init__(self, data, y, p=0, hs=None, kernel=None, alpha=0.0, def __init__(self, data, y, p=0, hs=None, kernel=None, alpha=0.0,
@ -3105,18 +3110,26 @@ def gridcount(data, X, y=1):
>>> import numpy as np >>> import numpy as np
>>> import wafo.kdetools as wk >>> import wafo.kdetools as wk
>>> import pylab as plb >>> import pylab as plb
>>> N = 200 >>> N = 20
>>> data = np.random.rayleigh(1,N) >>> data = np.random.rayleigh(1,N)
>>> data = np.array(
... [ 1.07855907, 1.51199717, 1.54382893, 1.54774808, 1.51913566,
... 1.11386486, 1.49146216, 1.51127214, 2.61287913, 0.94793051,
... 2.08532731, 1.35510641, 0.56759888, 1.55766981, 0.77883602,
... 0.9135759 , 0.81177855, 1.02111483, 1.76334202, 0.07571454])
>>> x = np.linspace(0,max(data)+1,50) >>> x = np.linspace(0,max(data)+1,50)
>>> dx = x[1]-x[0] >>> dx = x[1]-x[0]
>>> c = wk.gridcount(data,x) >>> c = wk.gridcount(data, x)
>>> np.allclose(c[:5], [ 0., 0.9731147, 0.0268853, 0., 0.])
True
>>> h = plb.plot(x,c,'.') # 1D histogram
>>> pdf = c/dx/N >>> pdf = c/dx/N
>>> h1 = plb.plot(x, pdf) # 1D probability density plot >>> np.allclose(np.trapz(pdf, x), 1)
>>> '%1.2f' % np.trapz(pdf, x) True
'1.00'
h = plb.plot(x,c,'.') # 1D histogram
h1 = plb.plot(x, pdf) # 1D probability density plot
See also See also
-------- --------

136
wafo/misc.py
Unescape Escape View File

@ -17,10 +17,10 @@ from scipy.integrate import trapz, simps
import warnings import warnings
from time import strftime, gmtime from time import strftime, gmtime
from numdifftools.extrapolation import dea3 # @UnusedImport from numdifftools.extrapolation import dea3 # @UnusedImport
from .plotbackend import plotbackend from wafo.plotbackend import plotbackend
from collections import Callable from collections import Callable
try: try:
from . import c_library as clib # @UnresolvedImport from wafo import c_library as clib # @UnresolvedImport
except ImportError: except ImportError:
warnings.warn('c_library not found. Check its compilation.') warnings.warn('c_library not found. Check its compilation.')
clib = None clib = None
@ -635,15 +635,22 @@ def detrendma(x, L):
Examples Examples
-------- --------
>>> import numpy as np
>>> import wafo.misc as wm >>> import wafo.misc as wm
>>> import pylab as plt >>> exp = np.exp; cos = np.cos; randn = np.random.randn
>>> exp = plt.exp; cos = plt.cos; randn = plt.randn >>> x = np.linspace(0,1,200)
>>> x = plt.linspace(0,1,200) >>> noise = 0.1*randn(x.size)
>>> y = exp(x)+cos(5*2*pi*x)+1e-1*randn(x.size) >>> noise = 0.1*np.sin(100*x)
>>> y0 = wm.detrendma(y,20); tr = y-y0 >>> y = exp(x)+cos(5*2*pi*x) + noise
>>> h = plt.plot(x, y, x, y0, 'r', x, exp(x), 'k', x, tr, 'm') >>> y0 = wm.detrendma(y,20)
>>> tr = y-y0
>>> np.allclose(tr[:5],
... [ 1.14134814, 1.14134814, 1.14134814, 1.14134814, 1.14134814])
True
>>> plt.close('all') import pylab as plt
h = plt.plot(x, y, x, y0, 'r', x, exp(x), 'k', x, tr, 'm')
plt.close('all')
See also See also
-------- --------
@ -703,16 +710,16 @@ def ecross(t, f, ind, v=0):
>>> t = np.linspace(0,7*np.pi,250) >>> t = np.linspace(0,7*np.pi,250)
>>> x = np.sin(t) >>> x = np.sin(t)
>>> ind = wm.findcross(x,0.75) >>> ind = wm.findcross(x,0.75)
>>> ind >>> np.allclose(ind, [ 9, 25, 80, 97, 151, 168, 223, 239])
array([ 9, 25, 80, 97, 151, 168, 223, 239]) True
>>> t0 = wm.ecross(t,x,ind,0.75) >>> t0 = wm.ecross(t,x,ind,0.75)
>>> np.abs(t0 - np.array([0.84910514, 2.2933879 , 7.13205663, 8.57630119, >>> np.allclose(t0, [0.84910514, 2.2933879 , 7.13205663, 8.57630119,
... 13.41484739, 14.85909194, 19.69776067, 21.14204343]))<1e-7 ... 13.41484739, 14.85909194, 19.69776067, 21.14204343])
array([ True, True, True, True, True, True, True, True], dtype=bool) True
>>> a = plt.plot(t, x, '.', t[ind], x[ind], 'r.', t, ones(t.shape)*0.75, a = plt.plot(t, x, '.', t[ind], x[ind], 'r.', t, ones(t.shape)*0.75,
... t0, ones(t0.shape)*0.75, 'g.') t0, ones(t0.shape)*0.75, 'g.')
>>> plt.close('all') plt.close('all')
See also See also
-------- --------
@ -797,22 +804,21 @@ def findcross(x, v=0.0, kind=None):
>>> from matplotlib import pylab as plt >>> from matplotlib import pylab as plt
>>> import wafo.misc as wm >>> import wafo.misc as wm
>>> ones = np.ones >>> ones = np.ones
>>> findcross([0, 1, -1, 1],0) >>> np.allclose(findcross([0, 1, -1, 1], 0), [0, 1, 2])
array([0, 1, 2]) True
>>> v = 0.75 >>> v = 0.75
>>> t = np.linspace(0,7*np.pi,250) >>> t = np.linspace(0,7*np.pi,250)
>>> x = np.sin(t) >>> x = np.sin(t)
>>> ind = wm.findcross(x,v) # all crossings >>> ind = wm.findcross(x,v) # all crossings
>>> ind >>> np.allclose(ind, [ 9, 25, 80, 97, 151, 168, 223, 239])
array([ 9, 25, 80, 97, 151, 168, 223, 239]) True
>>> t0 = plt.plot(t,x,'.',t[ind],x[ind],'r.', t, ones(t.shape)*v)
>>> ind2 = wm.findcross(x,v,'u') >>> ind2 = wm.findcross(x,v,'u')
>>> ind2 >>> np.allclose(ind2, [ 9, 80, 151, 223])
array([ 9, 80, 151, 223]) True
>>> t0 = plt.plot(t[ind2],x[ind2],'o') t0 = plt.plot(t,x,'.',t[ind],x[ind],'r.', t, ones(t.shape)*v)
>>> plt.close('all') t0 = plt.plot(t[ind2],x[ind2],'o')
plt.close('all')
See also See also
-------- --------
@ -873,9 +879,11 @@ def findextrema(x):
>>> t = np.linspace(0,7*np.pi,250) >>> t = np.linspace(0,7*np.pi,250)
>>> x = np.sin(t) >>> x = np.sin(t)
>>> ind = wm.findextrema(x) >>> ind = wm.findextrema(x)
>>> np.allclose(ind, [ 18, 53, 89, 125, 160, 196, 231])
True
>>> a = plt.plot(t,x,'.',t[ind],x[ind],'r.') a = plt.plot(t,x,'.',t[ind],x[ind],'r.')
>>> plt.close('all') plt.close('all')
See also See also
-------- --------
@ -912,8 +920,9 @@ def findpeaks(data, n=2, min_h=None, min_p=0.0):
>>> import wafo.misc as wm >>> import wafo.misc as wm
>>> x = np.arange(0,10,0.01) >>> x = np.arange(0,10,0.01)
>>> data = x**2+10*np.sin(3*x)+0.5*np.sin(50*x) >>> data = x**2+10*np.sin(3*x)+0.5*np.sin(50*x)
>>> wm.findpeaks(data, n=8, min_h=5, min_p=0.3) >>> np.allclose(wm.findpeaks(data, n=8, min_h=5, min_p=0.3),
array([908, 694, 481]) ... [908, 694, 481])
True
See also See also
-------- --------
@ -1031,13 +1040,16 @@ def findrfc(tp, h=0.0, method='clib'):
>>> ind = wm.findextrema(x) >>> ind = wm.findextrema(x)
>>> ti, tp = t[ind], x[ind] >>> ti, tp = t[ind], x[ind]
>>> a = plt.plot(t,x,'.',ti,tp,'r.') >>> ind1 = wm.findrfc(tp,0.3)
>>> ind1 = wm.findrfc(tp,0.3); ind1 >>> np.allclose(ind1, [ 0, 9, 32, 53, 74, 95, 116, 137])
array([ 0, 9, 32, 53, 74, 95, 116, 137]) True
>>> ind2 = wm.findrfc(tp,0.3, method=''); ind2 >>> ind2 = wm.findrfc(tp,0.3, method='')
array([ 0, 9, 32, 53, 74, 95, 116, 137]) >>> np.allclose(ind2, [ 0, 9, 32, 53, 74, 95, 116, 137])
>>> a = plt.plot(ti[ind1],tp[ind1]) True
>>> plt.close('all')
a = plt.plot(t,x,'.',ti,tp,'r.')
a = plt.plot(ti[ind1],tp[ind1])
plt.close('all')
See also See also
-------- --------
@ -1436,14 +1448,15 @@ def findtp(x, h=0.0, kind=None):
>>> itph = wm.findtp(x1[:,1],0.3,'Mw') >>> itph = wm.findtp(x1[:,1],0.3,'Mw')
>>> tp = x1[itp,:] >>> tp = x1[itp,:]
>>> tph = x1[itph,:] >>> tph = x1[itph,:]
>>> a = plt.plot(x1[:,0],x1[:,1], >>> np.allclose(itp, [ 5, 18, 24, 38, 46, 57, 70, 76, 91, 98, 99])
... tp[:,0],tp[:,1],'ro', True
... tph[:,0],tph[:,1],'k.') >>> np.allclose(itph, 91)
>>> plt.close('all') True
>>> itp
array([ 5, 18, 24, 38, 46, 57, 70, 76, 91, 98, 99]) a = plt.plot(x1[:,0],x1[:,1],
>>> itph tp[:,0],tp[:,1],'ro',
array([91]) tph[:,0],tph[:,1],'k.')
plt.close('all')
See also See also
--------- ---------
@ -1535,8 +1548,11 @@ def findtc(x_in, v=None, kind=None):
>>> x1 = x[0:200,:] >>> x1 = x[0:200,:]
>>> itc, iv = wm.findtc(x1[:,1],0,'dw') >>> itc, iv = wm.findtc(x1[:,1],0,'dw')
>>> tc = x1[itc,:] >>> tc = x1[itc,:]
>>> a = plt.plot(x1[:,0],x1[:,1],tc[:,0],tc[:,1],'ro') >>> np.allclose(itc, [ 52, 105])
>>> plt.close('all') True
a = plt.plot(x1[:,0],x1[:,1],tc[:,0],tc[:,1],'ro')
plt.close('all')
See also See also
-------- --------
@ -2164,10 +2180,14 @@ def discretize(fun, a, b, tol=0.005, n=5, method='linear'):
>>> import pylab as plt >>> import pylab as plt
>>> x,y = wm.discretize(np.cos, 0, np.pi) >>> x,y = wm.discretize(np.cos, 0, np.pi)
>>> xa,ya = wm.discretize(np.cos, 0, np.pi, method='adaptive') >>> xa,ya = wm.discretize(np.cos, 0, np.pi, method='adaptive')
>>> t = plt.plot(x, y, xa, ya, 'r.') >>> np.allclose(xa[:5],
... [ 0. , 0.19634954, 0.39269908, 0.58904862, 0.78539816])
True
t = plt.plot(x, y, xa, ya, 'r.')
plt.show() plt.show()
>>> plt.close('all') plt.close('all')
''' '''
if method.startswith('a'): if method.startswith('a'):
@ -2426,12 +2446,15 @@ def tranproc(x, f, x0, *xi):
>>> x = linspace(-5,5,501) >>> x = linspace(-5,5,501)
>>> g = tr(x) >>> g = tr(x)
>>> gder = wm.tranproc(x, g, x, ones(g.shape[0])) >>> gder = wm.tranproc(x, g, x, ones(g.shape[0]))
>>> h = plt.plot(x, g, x, gder[1]) >>> np.allclose(gder[1][:5],
... [ 1.09938766, 1.39779849, 1.39538745, 1.39298656, 1.39059575])
True
h = plt.plot(x, g, x, gder[1])
plt.plot(x,pdfnorm(g)*gder[1],x,pdfnorm(x)) plt.plot(x,pdfnorm(g)*gder[1],x,pdfnorm(x))
plt.legend('Transformed model','Gaussian model') plt.legend('Transformed model','Gaussian model')
>>> plt.close('all') plt.close('all')
See also See also
-------- --------
@ -2615,10 +2638,11 @@ def plot_histgrm(data, bins=None, range=None, # @ReservedAssignment
>>> import wafo.stats as ws >>> import wafo.stats as ws
>>> R = ws.weibull_min.rvs(2,loc=0,scale=2, size=100) >>> R = ws.weibull_min.rvs(2,loc=0,scale=2, size=100)
>>> h0 = wm.plot_histgrm(R, 20, normed=True) h0 = wm.plot_histgrm(R, 20, normed=True)
>>> x = np.linspace(-3,16,200) x = np.linspace(-3,16,200)
>>> h1 = plt.plot(x,ws.weibull_min.pdf(x,2,0,2),'r')
>>> plt.close('all') h1 = plt.plot(x,ws.weibull_min.pdf(x,2,0,2),'r')
plt.close('all')
See also See also
-------- --------

136
wafo/objects.py
Unescape Escape View File

@ -13,14 +13,14 @@
from __future__ import absolute_import, division from __future__ import absolute_import, division
from .transform.core import TrData from wafo.transform.core import TrData
from .transform.estimation import TransformEstimator from wafo.transform.estimation import TransformEstimator
from .stats import distributions from wafo.stats import distributions
from .misc import (nextpow2, findtp, findrfc, findtc, findcross, from wafo.misc import (nextpow2, findtp, findrfc, findtc, findcross,
ecross, JITImport, DotDict, gravity, findrfc_astm) ecross, JITImport, DotDict, gravity, findrfc_astm)
from .interpolate import stineman_interp from wafo.interpolate import stineman_interp
from .containers import PlotData from wafo.containers import PlotData
from .plotbackend import plotbackend from wafo.plotbackend import plotbackend
from scipy.integrate import trapz from scipy.integrate import trapz
from scipy.signal import welch, lfilter from scipy.signal import welch, lfilter
from scipy.signal.windows import get_window # @UnusedImport from scipy.signal.windows import get_window # @UnusedImport
@ -76,7 +76,10 @@ class LevelCrossings(PlotData):
>>> mm = tp.cycle_pairs() >>> mm = tp.cycle_pairs()
>>> lc = mm.level_crossings() >>> lc = mm.level_crossings()
>>> h2 = lc.plot() >>> np.allclose(lc.data[:5], [ 0., 1., 2., 2., 3.])
True
h2 = lc.plot()
''' '''
def __init__(self, *args, **kwds): def __init__(self, *args, **kwds):
@ -366,16 +369,16 @@ class LevelCrossings(PlotData):
>>> np.abs(alpha-alpha2)<0.03 >>> np.abs(alpha-alpha2)<0.03
array([ True], dtype=bool) array([ True], dtype=bool)
>>> h0 = S.plot('b')
>>> h1 = Se.plot('r')
>>> lc2 = ts2.turning_points().cycle_pairs().level_crossings() >>> lc2 = ts2.turning_points().cycle_pairs().level_crossings()
>>> import pylab as plt import pylab as plt
>>> h = plt.subplot(211) h0 = S.plot('b')
>>> h2 = lc2.plot() h1 = Se.plot('r')
>>> h = plt.subplot(212)
>>> h0 = lc.plot() h = plt.subplot(211)
h2 = lc2.plot()
h = plt.subplot(212)
h0 = lc.plot()
""" """
@ -544,7 +547,7 @@ class LevelCrossings(PlotData):
>>> tp = ts.turning_points() >>> tp = ts.turning_points()
>>> mm = tp.cycle_pairs() >>> mm = tp.cycle_pairs()
>>> lc = mm.level_crossings() >>> lc = mm.level_crossings()
>>> g0, g0emp = lc.trdata(plotflag=1) >>> g0, g0emp = lc.trdata(plotflag=0)
>>> g1, g1emp = lc.trdata(gvar=0.5 ) # Equal weight on all points >>> g1, g1emp = lc.trdata(gvar=0.5 ) # Equal weight on all points
>>> g2, g2emp = lc.trdata(gvar=[3.5, 0.5, 3.5]) # Less weight on ends >>> g2, g2emp = lc.trdata(gvar=[3.5, 0.5, 3.5]) # Less weight on ends
>>> int(S.tr.dist2gauss()*100) >>> int(S.tr.dist2gauss()*100)
@ -608,7 +611,11 @@ class CyclePairs(PlotData):
>>> tp = ts.turning_points() >>> tp = ts.turning_points()
>>> mm = tp.cycle_pairs() >>> mm = tp.cycle_pairs()
>>> h1 = mm.plot(marker='x') >>> np.allclose(mm.data[:5],
... [ 0.83950546, -0.02049454, -0.04049454, 0.25950546, -0.08049454])
True
h1 = mm.plot(marker='x')
''' '''
def __init__(self, *args, **kwds): def __init__(self, *args, **kwds):
@ -654,13 +661,15 @@ class CyclePairs(PlotData):
>>> ts = wafo.objects.mat2timeseries(wafo.data.sea()) >>> ts = wafo.objects.mat2timeseries(wafo.data.sea())
>>> tp = ts.turning_points() >>> tp = ts.turning_points()
>>> mm = tp.cycle_pairs() >>> mm = tp.cycle_pairs()
>>> h = mm.plot(marker='.')
>>> bv = range(3,9) >>> bv = range(3,9)
>>> D = mm.damage(beta=bv) >>> D = mm.damage(beta=bv)
>>> D >>> D
array([ 138.5238799 , 117.56050788, 108.99265423, 107.86681126, array([ 138.5238799 , 117.56050788, 108.99265423, 107.86681126,
112.3791076 , 122.08375071]) 112.3791076 , 122.08375071])
>>> h = plt.plot(bv,D,'x-')
h = mm.plot(marker='.')
h = plt.plot(bv,D,'x-')
See also See also
-------- --------
@ -708,9 +717,10 @@ class CyclePairs(PlotData):
>>> ts = wafo.objects.mat2timeseries(wafo.data.sea()) >>> ts = wafo.objects.mat2timeseries(wafo.data.sea())
>>> tp = ts.turning_points() >>> tp = ts.turning_points()
>>> mm = tp.cycle_pairs() >>> mm = tp.cycle_pairs()
>>> h = mm.plot(marker='.')
>>> lc = mm.level_crossings() >>> lc = mm.level_crossings()
>>> h2 = lc.plot()
h = mm.plot(marker='.')
h2 = lc.plot()
See also See also
-------- --------
@ -785,7 +795,11 @@ class TurningPoints(PlotData):
>>> ts = wo.mat2timeseries(x) >>> ts = wo.mat2timeseries(x)
>>> tp = ts.turning_points() >>> tp = ts.turning_points()
>>> h1 = tp.plot(marker='x') >>> np.allclose(tp.data[:5],
... [-1.2004945 , 0.83950546, -0.09049454, -0.02049454, -0.09049454])
True
h1 = tp.plot(marker='x')
''' '''
def __init__(self, *args, **kwds): def __init__(self, *args, **kwds):
@ -828,9 +842,14 @@ class TurningPoints(PlotData):
>>> ts1 = mat2timeseries(x1) >>> ts1 = mat2timeseries(x1)
>>> tp = ts1.turning_points(wavetype='Mw') >>> tp = ts1.turning_points(wavetype='Mw')
>>> tph = tp.rainflow_filter(h=0.3) >>> tph = tp.rainflow_filter(h=0.3)
>>> hs = ts1.plot() >>> np.allclose(tph.data[:5],
>>> hp = tp.plot('ro') ... [-0.16049454, 0.25950546, -0.43049454, -0.08049454, -0.42049454])
>>> hph = tph.plot('k.') True
hs = ts1.plot()
hp = tp.plot('ro')
hph = tph.plot('k.')
See also See also
--------- ---------
@ -871,7 +890,11 @@ class TurningPoints(PlotData):
>>> ts = wafo.objects.mat2timeseries(x) >>> ts = wafo.objects.mat2timeseries(x)
>>> tp = ts.turning_points() >>> tp = ts.turning_points()
>>> mM = tp.cycle_pairs() >>> mM = tp.cycle_pairs()
>>> h = mM.plot(marker='x') >>> np.allclose(mM.data[:5], [ 0.83950546, -0.02049454, -0.04049454,
... 0.25950546, -0.08049454])
True
h = mM.plot(marker='x')
See also See also
@ -980,15 +1003,15 @@ class TimeSeries(PlotData):
>>> x = wafo.data.sea() >>> x = wafo.data.sea()
>>> ts = wo.mat2timeseries(x) >>> ts = wo.mat2timeseries(x)
>>> rf = ts.tocovdata(lag=150) >>> rf = ts.tocovdata(lag=150)
>>> h = rf.plot()
>>> S = ts.tospecdata() >>> S = ts.tospecdata()
>>> tp = ts.turning_points() >>> tp = ts.turning_points()
>>> mm = tp.cycle_pairs() >>> mm = tp.cycle_pairs()
>>> h1 = mm.plot(marker='x')
>>> lc = mm.level_crossings() >>> lc = mm.level_crossings()
>>> h2 = lc.plot()
h = rf.plot()
h1 = mm.plot(marker='x')
h2 = lc.plot()
''' '''
def __init__(self, *args, **kwds): def __init__(self, *args, **kwds):
@ -1065,7 +1088,10 @@ class TimeSeries(PlotData):
>>> x = wafo.data.sea() >>> x = wafo.data.sea()
>>> ts = wo.mat2timeseries(x) >>> ts = wo.mat2timeseries(x)
>>> acf = ts.tocovdata(150) >>> acf = ts.tocovdata(150)
>>> h = acf.plot() >>> np.allclose(acf.data[:3], [ 0.22368637, 0.20838473, 0.17110733])
True
h = acf.plot()
''' '''
estimate_cov = _wafocov_estimation.CovarianceEstimator( estimate_cov = _wafocov_estimation.CovarianceEstimator(
lag=lag, tr=tr, detrend=detrend, window=window, flag=flag, lag=lag, tr=tr, detrend=detrend, window=window, flag=flag,
@ -1328,7 +1354,7 @@ class TimeSeries(PlotData):
... sigma=Hs/4, ysigma=Hs/4) ... sigma=Hs/4, ysigma=Hs/4)
>>> xs = S.sim(ns=2**16, iseed=10) >>> xs = S.sim(ns=2**16, iseed=10)
>>> ts = mat2timeseries(xs) >>> ts = mat2timeseries(xs)
>>> g0, g0emp = ts.trdata(plotflag=1) >>> g0, g0emp = ts.trdata(plotflag=0)
>>> g1, g1emp = ts.trdata(method='mnonlinear', gvar=0.5 ) >>> g1, g1emp = ts.trdata(method='mnonlinear', gvar=0.5 )
>>> g2, g2emp = ts.trdata(method='nonlinear', gvar=[3.5, 0.5, 3.5]) >>> g2, g2emp = ts.trdata(method='nonlinear', gvar=[3.5, 0.5, 3.5])
>>> 100 < S.tr.dist2gauss()*100 < 200 >>> 100 < S.tr.dist2gauss()*100 < 200
@ -1397,9 +1423,12 @@ class TimeSeries(PlotData):
>>> ts1 = mat2timeseries(x1) >>> ts1 = mat2timeseries(x1)
>>> tp = ts1.turning_points(wavetype='Mw') >>> tp = ts1.turning_points(wavetype='Mw')
>>> tph = ts1.turning_points(h=0.3,wavetype='Mw') >>> tph = ts1.turning_points(h=0.3,wavetype='Mw')
>>> hs = ts1.plot() >>> np.allclose(tph.data[:3], [ 0.83950546, -0.16049454, 0.25950546])
>>> hp = tp.plot('ro') True
>>> hph = tph.plot('k.')
hs = ts1.plot()
hp = tp.plot('ro')
hph = tph.plot('k.')
See also See also
--------- ---------
@ -1485,10 +1514,10 @@ class TimeSeries(PlotData):
('Tcf', array([ 0.42656819, 0.57361617])) ('Tcf', array([ 0.42656819, 0.57361617]))
('Tcb', array([ 0.93355982, 1.04063638])) ('Tcb', array([ 0.93355982, 1.04063638]))
>>> import pylab as plt import pylab as plt
>>> h = plt.plot(wp['Td'],wp['Hd'],'.') h = plt.plot(wp['Td'],wp['Hd'],'.')
>>> h = plt.xlabel('Td [s]') h = plt.xlabel('Td [s]')
>>> h = plt.ylabel('Hd [m]') h = plt.ylabel('Hd [m]')
See also See also
@ -1574,10 +1603,10 @@ class TimeSeries(PlotData):
(array([ 0.10140867, 0.06141156]), array([ 0.42, 0.78])) (array([ 0.10140867, 0.06141156]), array([ 0.42, 0.78]))
(array([ 0.01821413, 0.01236672]), array([ 0.42, 0.78])) (array([ 0.01821413, 0.01236672]), array([ 0.42, 0.78]))
>>> import pylab as plt import pylab as plt
>>> h = plt.plot(S,H,'.') h = plt.plot(S,H,'.')
>>> h = plt.xlabel('S') h = plt.xlabel('S')
>>> h = plt.ylabel('Hd [m]') h = plt.ylabel('Hd [m]')
See also See also
-------- --------
@ -1675,7 +1704,8 @@ class TimeSeries(PlotData):
def _get_start_index(self, pdef, down_crossing_or_max): def _get_start_index(self, pdef, down_crossing_or_max):
if down_crossing_or_max: if down_crossing_or_max:
if pdef in ('d2t', 'M2m', 'c2t', 'd2u', 'M2M', 'c2c', 'd2d', 'all'): if pdef in ('d2t', 'M2m', 'c2t', 'd2u', 'M2M', 'c2c', 'd2d',
'all'):
start = 1 start = 1
elif pdef in ('t2u', 'm2M', 't2c', 'u2d', 'm2m', 't2t', 'u2u'): elif pdef in ('t2u', 'm2M', 't2c', 'u2d', 'm2m', 't2t', 'u2u'):
start = 2 start = 2
@ -1698,13 +1728,12 @@ class TimeSeries(PlotData):
raise ValueError('Unknown pdef option!') raise ValueError('Unknown pdef option!')
return start return start
def _get_step(self, pdef): def _get_step(self, pdef):
# determine the steps between wanted periods # determine the steps between wanted periods
if pdef in ('d2t', 't2u', 'u2c', 'c2d'): if pdef in ('d2t', 't2u', 'u2c', 'c2d'):
step = 4 step = 4
elif pdef in ('all'): elif pdef in ('all'):
step = 1 # % secret option! step = 1 # secret option!
else: else:
step = 2 step = 2
return step return step
@ -1773,7 +1802,10 @@ class TimeSeries(PlotData):
>>> x = wd.sea() >>> x = wd.sea()
>>> ts = wo.mat2timeseries(x[0:400,:]) >>> ts = wo.mat2timeseries(x[0:400,:])
>>> T, ix = ts.wave_periods(vh=0.0,pdef='c2c') >>> T, ix = ts.wave_periods(vh=0.0,pdef='c2c')
>>> h = plb.hist(T) >>> np.allclose(T[:3,0], [-0.27, -0.08, 0.32])
True
h = plb.hist(T)
See also: See also:
-------- --------
@ -2166,7 +2198,8 @@ class TimeSeries(PlotData):
>>> import wafo >>> import wafo
>>> x = wafo.data.sea() >>> x = wafo.data.sea()
>>> ts150 = wafo.objects.mat2timeseries(x[:150,:]) >>> ts150 = wafo.objects.mat2timeseries(x[:150,:])
>>> h = ts150.plot_wave('r-', sym2='bo')
h = ts150.plot_wave('r-', sym2='bo')
See also See also
-------- --------
@ -2259,7 +2292,8 @@ class TimeSeries(PlotData):
>>> import wafo >>> import wafo
>>> x = wafo.data.sea() >>> x = wafo.data.sea()
>>> ts = wafo.objects.mat2timeseries(x[0:500,...]) >>> ts = wafo.objects.mat2timeseries(x[0:500,...])
>>> h = ts.plot_sp_wave(np.r_[6:9,12:18])
h = ts.plot_sp_wave(np.r_[6:9,12:18])
See also See also
-------- --------

84
wafo/sg_filter.py
Unescape Escape View File

@ -6,8 +6,8 @@ from numpy import (pi, abs, size, convolve, linalg, concatenate, sqrt)
from scipy.sparse import spdiags from scipy.sparse import spdiags
from scipy.sparse.linalg import spsolve, expm from scipy.sparse.linalg import spsolve, expm
from scipy.signal import medfilt from scipy.signal import medfilt
from .dctpack import dctn, idctn from wafo.dctpack import dctn, idctn
from .plotbackend import plotbackend as plt from wafo.plotbackend import plotbackend as plt
import scipy.optimize as optimize import scipy.optimize as optimize
from scipy.signal import _savitzky_golay from scipy.signal import _savitzky_golay
from scipy.ndimage import convolve1d from scipy.ndimage import convolve1d
@ -91,14 +91,19 @@ class SavitzkyGolay(object):
Examples Examples
-------- --------
>>> t = np.linspace(-4, 4, 500) >>> t = np.linspace(-4, 4, 500)
>>> y = np.exp( -t**2 ) + np.random.normal(0, 0.05, t.shape) >>> noise = np.random.normal(0, 0.05, t.shape)
>>> noise = np.sqrt(0.05)*np.sin(100*t)
>>> y = np.exp( -t**2 ) + noise
>>> ysg = SavitzkyGolay(n=20, degree=2).smooth(y) >>> ysg = SavitzkyGolay(n=20, degree=2).smooth(y)
>>> import matplotlib.pyplot as plt >>> np.allclose(ysg[:3], [ 0.01345312, 0.01164172, 0.00992839])
>>> h = plt.plot(t, y, label='Noisy signal') True
>>> h1 = plt.plot(t, np.exp(-t**2), 'k', lw=1.5, label='Original signal')
>>> h2 = plt.plot(t, ysg, 'r', label='Filtered signal') import matplotlib.pyplot as plt
>>> h3 = plt.legend() h = plt.plot(t, y, label='Noisy signal')
>>> h4 = plt.title('Savitzky-Golay') h1 = plt.plot(t, np.exp(-t**2), 'k', lw=1.5, label='Original signal')
h2 = plt.plot(t, ysg, 'r', label='Filtered signal')
h3 = plt.legend()
h4 = plt.title('Savitzky-Golay')
plt.show() plt.show()
References References
@ -232,10 +237,10 @@ def evar(y):
3D function 3D function
>>> yp = np.linspace(-2,2,50) >>> yp = np.linspace(-2,2,50)
>>> [x,y,z] = meshgrid(yp,yp,yp, sparse=True) >>> [x,y,z] = np.meshgrid(yp,yp,yp, sparse=True)
>>> f = x*exp(-x**2-y**2-z**2) >>> f = x*np.exp(-x**2-y**2-z**2)
>>> var0 = 0.5 # noise variance >>> var0 = 0.5 # noise variance
>>> fn = f + sqrt(var0)*np.random.randn(*f.shape) >>> fn = f + np.sqrt(var0)*np.random.randn(*f.shape)
>>> s = evar(fn) # estimated variance >>> s = evar(fn) # estimated variance
>>> np.abs(s-var0)/var0 < 3.5/np.sqrt(50) >>> np.abs(s-var0)/var0 < 3.5/np.sqrt(50)
True True
@ -571,12 +576,13 @@ def smoothn(data, s=None, weight=None, robust=False, z0=None, tolz=1e-3,
>>> y[np.r_[70, 75, 80]] = np.array([5.5, 5, 6]) >>> y[np.r_[70, 75, 80]] = np.array([5.5, 5, 6])
>>> z = smoothn(y) # Regular smoothing >>> z = smoothn(y) # Regular smoothing
>>> zr = smoothn(y,robust=True) # Robust smoothing >>> zr = smoothn(y,robust=True) # Robust smoothing
>>> h=plt.subplot(121),
>>> h = plt.plot(x,y,'r.',x,z,'k',linewidth=2) h=plt.subplot(121),
>>> h=plt.title('Regular smoothing') h = plt.plot(x,y,'r.',x,z,'k',linewidth=2)
>>> h=plt.subplot(122) h=plt.title('Regular smoothing')
>>> h=plt.plot(x,y,'r.',x,zr,'k',linewidth=2) h=plt.subplot(122)
>>> h=plt.title('Robust smoothing') h=plt.plot(x,y,'r.',x,zr,'k',linewidth=2)
h=plt.title('Robust smoothing')
2-D example 2-D example
>>> xp = np.r_[0:1:.02] >>> xp = np.r_[0:1:.02]
@ -584,10 +590,11 @@ def smoothn(data, s=None, weight=None, robust=False, z0=None, tolz=1e-3,
>>> f = np.exp(x+y) + np.sin((x-2*y)*3); >>> f = np.exp(x+y) + np.sin((x-2*y)*3);
>>> fn = f + np.random.randn(*f.shape)*0.5; >>> fn = f + np.random.randn(*f.shape)*0.5;
>>> fs = smoothn(fn); >>> fs = smoothn(fn);
>>> h=plt.subplot(121),
>>> h=plt.contourf(xp,xp,fn) h=plt.subplot(121),
>>> h=plt.subplot(122) h=plt.contourf(xp,xp,fn)
>>> h=plt.contourf(xp,xp,fs) h=plt.subplot(122)
h=plt.contourf(xp,xp,fs)
2-D example with missing data 2-D example with missing data
n = 256; n = 256;
@ -780,13 +787,14 @@ class HodrickPrescott(object):
>>> t = np.linspace(-4, 4, 500) >>> t = np.linspace(-4, 4, 500)
>>> y = np.exp( -t**2 ) + np.random.normal(0, 0.05, t.shape) >>> y = np.exp( -t**2 ) + np.random.normal(0, 0.05, t.shape)
>>> ysg = HodrickPrescott(w=10000)(y) >>> ysg = HodrickPrescott(w=10000)(y)
>>> import matplotlib.pyplot as plt
>>> h = plt.plot(t, y, label='Noisy signal') import matplotlib.pyplot as plt
>>> h1 = plt.plot(t, np.exp(-t**2), 'k', lw=1.5, label='Original signal') h = plt.plot(t, y, label='Noisy signal')
>>> h2 = plt.plot(t, ysg, 'r', label='Filtered signal') h1 = plt.plot(t, np.exp(-t**2), 'k', lw=1.5, label='Original signal')
>>> h3 = plt.legend() h2 = plt.plot(t, ysg, 'r', label='Filtered signal')
>>> h4 = plt.title('Hodrick-Prescott') h3 = plt.legend()
>>> plt.show() h4 = plt.title('Hodrick-Prescott')
plt.show()
References References
---------- ----------
@ -944,15 +952,15 @@ class Kalman(object):
>>> for i, zi in enumerate(z): >>> for i, zi in enumerate(z):
... x[i] = filt(zi, u) # perform a Kalman filter iteration ... x[i] = filt(zi, u) # perform a Kalman filter iteration
>>> import matplotlib.pyplot as plt import matplotlib.pyplot as plt
>>> hz = plt.plot(z,'r.', label='observations') hz = plt.plot(z,'r.', label='observations')
# a-posteriori state estimates: # a-posteriori state estimates:
>>> hx = plt.plot(x,'b-', label='Kalman output') hx = plt.plot(x,'b-', label='Kalman output')
>>> ht = plt.plot(truth,'g-', label='true voltage') ht = plt.plot(truth,'g-', label='true voltage')
>>> h = plt.legend() h = plt.legend()
>>> h1 = plt.title('Automobile Voltimeter Example') h1 = plt.title('Automobile Voltimeter Example')
>>> plt.show() plt.show()
''' '''
@ -1555,12 +1563,12 @@ def test_docstrings():
doctest.testmod(optionflags=doctest.NORMALIZE_WHITESPACE) doctest.testmod(optionflags=doctest.NORMALIZE_WHITESPACE)
if __name__ == '__main__': if __name__ == '__main__':
# test_docstrings() test_docstrings()
# test_kalman_sine() # test_kalman_sine()
# test_tide_filter() # test_tide_filter()
# demo_hampel() # demo_hampel()
# test_kalman() # test_kalman()
# test_smooth() # test_smooth()
# test_hodrick_cardioid() # test_hodrick_cardioid()
test_smoothn_1d() # test_smoothn_1d()
# test_smoothn_cardioid() # test_smoothn_cardioid()

44
wafo/spectrum/core.py
Unescape Escape View File

@ -722,8 +722,9 @@ class SpecData1D(PlotData):
>>> Nt = len(S.data)-1 >>> Nt = len(S.data)-1
>>> acf = S.tocovdata(nr=0, nt=Nt) >>> acf = S.tocovdata(nr=0, nt=Nt)
>>> S1 = acf.tospecdata() >>> S1 = acf.tospecdata()
>>> h = S.plot('r')
>>> h1 = S1.plot('b:') h = S.plot('r')
h1 = S1.plot('b:')
R = spec2cov(spec,0,Nt) R = spec2cov(spec,0,Nt)
win = parzen(2*Nt+1) win = parzen(2*Nt+1)
@ -2449,27 +2450,28 @@ class SpecData1D(PlotData):
# interpolate for freq. [1:(N/2)-1]*d_f and create 2-sided, uncentered # interpolate for freq. [1:(N/2)-1]*d_f and create 2-sided, uncentered
# spectra # spectra
f = arange(1, ns / 2.) * d_f ns2 = ns // 2
f = arange(1, ns2) * d_f
f_u = hstack((0., f_i, d_f * ns / 2.)) f_u = hstack((0., f_i, d_f * ns2))
s_u = hstack((0., abs(s_i) / 2., 0.)) s_u = hstack((0., abs(s_i) / 2, 0.))
s_i = interp(f, f_u, s_u) s_i = interp(f, f_u, s_u)
s_u = hstack((0., s_i, 0, s_i[(ns / 2) - 2::-1])) s_u = hstack((0., s_i, 0, s_i[ns2 - 2::-1]))
del(s_i, f_u) del(s_i, f_u)
# Generate standard normal random numbers for the simulations # Generate standard normal random numbers for the simulations
randn = random.randn randn = random.randn
z_r = randn((ns / 2) + 1, cases) z_r = randn(ns2 + 1, cases)
z_i = vstack( z_i = vstack(
(zeros((1, cases)), randn((ns / 2) - 1, cases), zeros((1, cases)))) (zeros((1, cases)), randn(ns2 - 1, cases), zeros((1, cases))))
amp = zeros((ns, cases), dtype=complex) amp = zeros((ns, cases), dtype=complex)
amp[0:(ns / 2 + 1), :] = z_r - 1j * z_i amp[0:ns2 + 1, :] = z_r - 1j * z_i
del(z_r, z_i) del(z_r, z_i)
amp[(ns / 2 + 1):ns, :] = amp[ns / 2 - 1:0:-1, :].conj() amp[ns2 + 1:ns, :] = amp[ns2 - 1:0:-1, :].conj()
amp[0, :] = amp[0, :] * sqrt(2.) amp[0, :] = amp[0, :] * sqrt(2.)
amp[(ns / 2), :] = amp[(ns / 2), :] * sqrt(2.) amp[ns2, :] = amp[ns2, :] * sqrt(2.)
# Make simulated time series # Make simulated time series
T = (ns - 1) * d_t T = (ns - 1) * d_t
@ -3127,8 +3129,11 @@ class SpecData1D(PlotData):
>>> Sj = sm.Jonswap(Hm0=3, Tp=7) >>> Sj = sm.Jonswap(Hm0=3, Tp=7)
>>> w = np.linspace(0,4,256) >>> w = np.linspace(0,4,256)
>>> S = SpecData1D(Sj(w),w) #Make spectrum object from numerical values >>> S = SpecData1D(Sj(w),w) #Make spectrum object from numerical values
>>> S.moment() >>> mom, mom_txt = S.moment()
([0.5616342024616453, 0.7309966918203602], ['m0', 'm0tt']) >>> np.allclose(mom, [0.5616342024616453, 0.7309966918203602])
True
>>> mom_txt == ['m0', 'm0tt']
True
References References
---------- ----------
@ -3352,13 +3357,14 @@ class SpecData1D(PlotData):
>>> import wafo.spectrum.models as sm >>> import wafo.spectrum.models as sm
>>> Sj = sm.Jonswap(Hm0=5) >>> Sj = sm.Jonswap(Hm0=5)
>>> S = Sj.tospecdata() #Make spectrum ob >>> S = Sj.tospecdata() #Make spectrum ob
>>> S.moment(2) >>> np.allclose(S.moment(2)[0],
([1.5614600345079888, 0.95567089481941048], ['m0', 'm0tt']) ... [1.5614600345079888, 0.95567089481941048])
True
>>> Sn = S.copy(); Sn.normalize() >>> Sn = S.copy(); Sn.normalize()
Now the moments should be one Now the moments should be one
>>> Sn.moment(2) >>> np.allclose(Sn.moment(2)[0], [1.0, 1.0])
([1.0000000000000004, 0.99999999999999967], ['m0', 'm0tt']) True
''' '''
mom, unused_mtext = self.moment(nr=4, even=True) mom, unused_mtext = self.moment(nr=4, even=True)
m0 = mom[0] m0 = mom[0]
@ -4194,6 +4200,6 @@ def test_docstrings():
if __name__ == '__main__': if __name__ == '__main__':
#test_docstrings() test_docstrings()
test_mm_pdf() # test_mm_pdf()
# main() # main()

4
wafo/version.py
Unescape Escape View File

@ -1,4 +0,0 @@
# THIS FILE IS GENERATED FROM SETUP.PY
short_version='0.1.2'
version='0.1.2'
release=False
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