In [1]:

    

# test derivatives
import numpy as np
%matplotlib
from matplotlib import pyplot as plt
import os,sys
import scipy as sp


    

    




Using matplotlib backend: MacOSX

In [2]:

    

import ewc
import wrm_vangenuchten
import permafrost_model_explicit_fpd
import permafrost_model_explicit_fpd_smoothed


    

In [4]:

    

def plot(wrm, axs, style, color=None, control=False):
    sats = np.concatenate([np.linspace(0.21,0.9,1000), np.linspace(0.9,1,1000)])
    
    try:
        pcs = np.array([wrm.capillaryPressure(s) for s in sats])
    except RuntimeError:
        pcs = np.array([wrm._vg.capillaryPressure(s) for s in sats])
        
    sats = np.array([wrm.saturation(pc) for pc in pcs])
    dsats = np.array([wrm.d_saturation(pc) for pc in pcs])

    #print "Test pcs:", pcs[-10:]
    #print "Test sats:", sats[-10:]
    #print "Test dsats:", dsats[-10:]
    
    if control:
        print "auto x = std::vector<double>{" + ",".join(["%8.16e"%x for x in wrm._control_pcs])+"};"
        print "auto y = std::vector<double>{" + ",".join(["%8.16e"%x for x in wrm._control_sats])+"};"
        print "auto dy = std::vector<double>{" + ",".join(["%8.16e"%x for x in wrm._control_dsats])+"};"
        print "auto test_x = std::vector<double>{" + ",".join(["%8.16e"%x for x in pcs])+"};"
        print "auto test_y = std::vector<double>{" + ",".join(["%8.16e"%x for x in sats])+"};"
        print "auto test_dy = std::vector<double>{" + ",".join(["%8.16e"%x for x in dsats])+"};"



    kr = np.array([wrm.k_relative(s) for s in sats])
    dkrs = np.array([wrm.d_k_relative(s) for s in sats])
    
    axs[0].semilogy(sats,pcs, style, color=color, label=wrm.label())
    axs[1].plot(pcs, sats, style, color=color, label=wrm.label())
    axs[2].plot(pcs, dsats, style, color=color, label=wrm.label())
               
    axs[3].plot(sats,kr, style, color=color, label=wrm.label())
    axs[4].plot(pcs, kr, style, color=color, label=wrm.label()) 
    axs[5].plot(pcs,dkrs, style, color=color, label=wrm.label() )

    print "Test kr:", kr[-10:]
    print "test dkr:", dkrs[-10:]
    
    if control:
        axs[0].semilogy(wrm._control_sats, wrm._control_pcs, 'x', color=color)
        axs[1].plot(wrm._control_pcs, wrm._control_sats, 'x', color=color)
        axs[2].plot(wrm._control_pcs, wrm._control_dsats, 'x', color=color)
        axs[3].plot(wrm._control_sats, wrm._control_krs, 'x', color=color)
        axs[4].plot(wrm._control_pcs, wrm._control_krs, 'x', color=color)
        axs[5].plot(wrm._control_pcs, wrm._control_dkrs, 'x', color=color)

    
def get_ax():
    fig,ax = plt.subplots(2,3, figsize=(12,6))
    return fig,ax.flatten()

def decorate(axs):
    axs[0].set_xlabel('saturation [-]')
    axs[0].set_ylabel('log capillary pressure [Pa]')

    axs[1].set_xlabel('capillary presure [Pa]')
    axs[1].set_ylabel('saturation [-]')
  
    axs[2].set_xlabel('capillary pressure [Pa]')
    axs[2].set_ylabel("dsaturation/dpc")
    
    axs[3].set_xlabel('saturation [-]')
    axs[3].set_ylabel('rel perm [-]')    

    axs[4].set_xlabel('capillary pressure [Pa]')
    axs[4].set_ylabel('rel perm [-]')

    axs[5].set_xlabel('capillary pressure [Pa]')
    axs[5].set_ylabel('drel perm [-]')

        
    axs[0].set_xlim(0,1.05)
    axs[1].set_xlim(0,10000)
    axs[2].set_xlim(0,3.e3)

    axs[3].set_xlim(0,1)
    axs[4].set_xlim(0,10000)
    axs[5].set_xlim(0,3.e3)
    
    axs[3].legend()


    

In [ ]:

    

wrm0 = wrm_vangenuchten.VanGenuchten(alpha=0.00056, m=0.24, sr=0.18, smoothing_interval=0.1)
#wrm1 = wrm_vangenuchten.VanGenuchten(alpha=0.0056, m=0.24, sr=0.18, smoothing_interval=0.)
#wrm4 = wrm_vangenuchten.VanGenuchten(alpha=0.00056, m=0.39, sr=0.18, smoothing_interval=0.)
#wrm2 = wrm_vangenuchten.VanGenuchten(alpha=0.00056, m=0.54, sr=0.18, smoothing_interval=0.)
wrm3 = wrm_vangenuchten.VanGenuchten(alpha=0.00056, m=0.74, sr=0.18, smoothing_interval=0.)
wrm2 = wrm_vangenuchten.VanGenuchten(alpha=0.00056, m=0.24, sr=0.18, smoothing_interval=0.1, smoothing_interval_sat=1./0.00056)

f,a = get_ax()

#plot(wrm1, a, '-', 'r')
#plot(wrm4, a, '-', 'b')
plot(wrm3, a, '-', 'c')
plot(wrm0, a, '-',color='k')
plot(wrm2, a, '-', color='violet')



#sats = np.concatenate([np.linspace(0.21,0.9,1000), np.linspace(0.9,1,1000)])
#pcs = np.array([wrm0.capillaryPressure(s) for s in sats])
#kr = np.array([wrm3b.k_relative(s) for s in sats])
    
#a[0].semilogy(sats,pcs, 'm')
#a[1].plot(pcs, sats, 'm')
#a[2].plot(pcs, kr, 'm',label='franken')
    
#pcs_m = (pcs[1:] + pcs[:-1])/2.
#dkrs = (kr[1:] - kr[:-1])/(pcs[1:] - pcs[:-1])
#a[3].plot(pcs_m,dkrs, 'm')



decorate(a)
plt.show()


    

In [ ]:

    

<Parameter name="van Genuchten alpha" type="double" value="0.00056" />
            <Parameter name="van Genuchten m" type="double" value="0.24" />
            <Parameter name="residual saturation" type="double" value="0.18" />
            <Parameter name="smoothing interval width [saturation]" type="double" value="0.01" />


    

In [ ]:

    

wrm0 = wrm_vangenuchten.VanGenuchten(alpha=0.00056, m=0.24, sr=0.18, smoothing_interval=0.)
wrm1 = wrm_vangenuchten.VanGenuchten(alpha=0.00056, m=0.24, sr=0.18, smoothing_interval=0.01)
wrm2 = wrm_vangenuchten.VanGenuchten(alpha=0.00056, m=0.24, sr=0.18, smoothing_interval=0.001)
wrm3 = wrm_vangenuchten.VanGenuchten(alpha=0.00056, m=0.24, sr=0.18, smoothing_interval=0.1)

f,a = get_ax()

plot(wrm0, a, '-',color='g')
plot(wrm1, a, '-',color='r')
plot(wrm2, a, '-',color='b')
plot(wrm3, a, '-',color='k')
decorate(a)
plt.show()


    

In [ ]:

    

pmC = permafrost_model_explicit_fpd_smoothed.PermafrostModel(wrmC)
test(pmC)


    

In [14]:

    

f,a = get_ax()

print "Plotting WRM0"
print "---------------------"
wrm0 = wrm_vangenuchten.VanGenuchten(alpha=0.00056, m=0.74, sr=0.18, smoothing_interval=0.0)
plot(wrm0, a, '-',color='c')

print "Plotting WRM1"
print "---------------------"
wrm1 = wrm_vangenuchten.VanGenuchtenSpline(alpha=0.00056, m=0.74, sr=0.18, smoothing_interval=0.0, n_control=20)
plot(wrm1, a, '-',color='r', control=True)
decorate(a)
plt.show()


    

    




Plotting WRM0
---------------------
Test kr: [ 0.98338184  0.98477803  0.98621966  0.98771501  0.98927561  0.9909184
  0.99267044  0.99458108  0.9967656   1.        ]
test dkr: [ 13.7430787   14.1631008   14.654253    15.24181747  15.96651786
  16.89974391  18.1830303   20.15847398  24.04809942   0.        ]
Plotting WRM1
---------------------
Control sats: [ 1.          0.99440813  0.97778507  0.95058424  0.91354761  0.86768544
  0.81424874  0.75469512  0.69064905  0.62385753  0.55614247  0.48935095
  0.42530488  0.36575126  0.31231456  0.26645239  0.22941576  0.20221493
  0.18559187]
Control PCs: [     0.            529.04601361    762.07344967    948.1815387
   1113.32167442   1268.58434156   1420.6851918    1574.78946324
   1735.72001171   1908.74257205   2100.34484612   2319.30159285
   2578.43843335   2897.93782333   3312.25230604   3886.52283183
   4762.96497638   6332.49217544  10299.0174332 ]
Control dsats: [  0.00000000e+00  -4.03270837e-05  -1.08558208e-04  -1.86347054e-04
  -2.62109522e-04  -3.26533443e-04  -3.72643702e-04  -3.96184242e-04
  -3.95829400e-04  -3.73090745e-04  -3.31903184e-04  -2.77941735e-04
  -2.17764958e-04  -1.57905339e-04  -1.04030502e-04  -6.02822812e-05
  -2.88656111e-05  -9.90842817e-06  -1.54349652e-06]
Control krs: [  1.00000000e+00   9.35478913e-01   8.23636705e-01   6.92054034e-01
   5.56217293e-01   4.27304224e-01   3.12987033e-01   2.17691562e-01
   1.42946035e-01   8.79195948e-02   5.01078952e-02   2.60719674e-02
   1.21262586e-02   4.88719531e-03   1.62616456e-03   4.11907351e-04
   6.82163036e-05   5.24989566e-06   6.32003391e-08]
Control dkrs: [  0.00000000e+00   8.52326165e+00   5.66750570e+00   4.21138633e+00
   3.21661155e+00   2.45837173e+00   1.85517844e+00   1.37007777e+00
   9.82740097e-01   6.79378362e-01   4.48618032e-01   2.79778502e-01
   1.62281675e-01   8.56402538e-02   3.97525076e-02   1.53423517e-02
   4.43226220e-03   7.57508330e-04   3.62022589e-05]
Spline slopes: [    0.           529.04601361   762.07344967   948.1815387   1113.32167442] [ 1.          0.99440813  0.97778507  0.95058424  0.91354761] [  0.00000000e+00  -4.03270837e-05  -1.08558208e-04  -1.86347054e-04
  -2.62109522e-04] [  0.00000000e+00  -3.17091451e-05  -1.08558208e-04  -1.86347054e-04
  -2.62109522e-04]
auto x = std::vector<double>{0.0000000000000000e+00,5.2904601361402888e+02,7.6207344967280596e+02,9.4818153870382184e+02,1.1133216744239246e+03,1.2685843415621939e+03,1.4206851918003140e+03,1.5747894632404550e+03,1.7357200117075643e+03,1.9087425720528377e+03,2.1003448461153971e+03,2.3193015928545351e+03,2.5784384333507201e+03,2.8979378233348125e+03,3.3122523060351109e+03,3.8865228318321615e+03,4.7629649763815059e+03,6.3324921754390953e+03,1.0299017433204777e+04};
auto y = std::vector<double>{1.0000000000000000e+00,9.9440813439511611e-01,9.7778506909726026e-01,9.5058423799466052e-01,9.1354760885252140e-01,8.6768544436655404e-01,8.1424874483019516e-01,7.5469512410771755e-01,6.9064904972772778e-01,6.2385753164365632e-01,5.5614246835634384e-01,4.8935095027227243e-01,4.2530487589228261e-01,3.6575125516980489e-01,3.1231455563344629e-01,2.6645239114747865e-01,2.2941576200533953e-01,2.0221493090273976e-01,1.8559186560488383e-01};
auto dy = std::vector<double>{0.0000000000000000e+00,-4.0327083735190082e-05,-1.0855820798593457e-04,-1.8634705358714702e-04,-2.6210952157372134e-04,-3.2653344313189690e-04,-3.7264370152470728e-04,-3.9618424224844667e-04,-3.9582939988960840e-04,-3.7309074509593511e-04,-3.3190318380146882e-04,-2.7794173481802899e-04,-2.1776495775319873e-04,-1.5790533888930598e-04,-1.0403050190890176e-04,-6.0282281244299046e-05,-2.8865611095894464e-05,-9.9084281720902014e-06,-1.5434965187437447e-06};
auto test_x = std::vector<double>{5.6924123740701771e+03,5.6465381627262850e+03,5.6020263089186501e+03,5.5588073272423435e+03,5.5168166758361067e+03,5.4759943092054600e+03,5.4362842797800467e+03,5.3976343820272341e+03,5.3599958338327615e+03,5.3233229906055703e+03,5.2875730881927666e+03,5.2527060112226100e+03,5.2186840839445758e+03,5.1854718810196464e+03,5.1530360560418221e+03,5.1213451858526405e+03,5.0903696289515601e+03,5.0600813965126408e+03,5.0304540346971780e+03,5.0014625171070502e+03,4.9730831463581226e+03,4.9452934638701172e+03,4.9180721670713492e+03,4.8913990333059292e+03,4.8652548498090291e+03,4.8396213491843255e+03,4.8144811498779036e+03,4.7898177011959742e+03,4.7656152324604918e+03,4.7418587059382353e+03,4.7185337732154785e+03,4.6956267347229459e+03,4.6731245021446539e+03,4.6510145634699447e+03,4.6292849504710175e+03,4.6079242084086782e+03,4.5869213677874450e+03,4.5662659179974917e+03,4.5459477826956891e+03,4.5259572967912081e+03,4.5062851849130539e+03,4.4869225412476235e+03,4.4678608106440442e+03,4.4490917708937768e+03,4.4306075160988657e+03,4.4124004410503467e+03,4.3944632265448226e+03,4.3767888255730786e+03,4.3593704503199233e+03,4.3422015599193437e+03,4.3252758489134276e+03,4.3085872363675726e+03,4.2921298555981357e+03,4.2758980444720619e+03,4.2598863362410857e+03,4.2440894508758738e+03,4.2285022868681026e+03,4.2131199134707485e+03,4.1979375633490981e+03,4.1829506256168861e+03,4.1681546392338932e+03,4.1535452867428930e+03,4.1391183883254926e+03,4.1248698961577384e+03,4.1107958890477403e+03,4.0968925673387348e+03,4.0831562480621278e+03,4.0695833603261040e+03,4.0561704409263443e+03,4.0429141301662603e+03,4.0298111678749706e+03,4.0168583896120367e+03,4.0040527230486291e+03,3.9913911845154912e+03,3.9788708757086370e+03,3.9664889805443236e+03,3.9542427621553097e+03,3.9421295600209551e+03,3.9301467872241246e+03,3.9182919278283080e+03,3.9065625343687584e+03,3.8949562254517950e+03,3.8834706834568119e+03,3.8721036523357798e+03,3.8608529355054056e+03,3.8497163938273311e+03,3.8386919436720573e+03,3.8277775550624879e+03,3.8169712498932604e+03,3.8062711002221886e+03,3.7956752266304125e+03,3.7851817966479712e+03,3.7747890232417390e+03,3.7644951633628066e+03,3.7542985165505625e+03,3.7441974235908642e+03,3.7341902652258163e+03,3.7242754609128438e+03,3.7144514676308054e+03,3.7047167787310887e+03,3.6950699228316407e+03,3.6855094627520889e+03,3.6760339944881193e+03,3.6666421462234234e+03,3.6573325773775869e+03,3.6481039776883777e+03,3.6389550663269706e+03,3.6298845910447112e+03,3.6208913273500998e+03,3.6119740777147258e+03,3.6031316708069571e+03,3.5943629607522371e+03,3.5856668264189066e+03,3.5770421707284968e+03,3.5684879199895299e+03,3.5600030232538497e+03,3.5515864516946126e+03,3.5432371980050675e+03,3.5349542758172979e+03,3.5267367191401572e+03,3.5185835818156420e+03,3.5104939369929953e+03,3.5024668766198461e+03,3.4945015109497540e+03,3.4865969680655094e+03,3.4787523934176224e+03,3.4709669493774027e+03,3.4632398148041070e+03,3.4555701846256216e+03,3.4479572694321791e+03,3.4404002950826375e+03,3.4328985023228570e+03,3.4254511464157472e+03,3.4180574967825423e+03,3.4107168366549272e+03,3.4034284627376051e+03,3.3961916848809592e+03,3.3890058257634228e+03,3.3818702205832506e+03,3.3747842167593358e+03,3.3677471736407783e+03,3.3607584622248874e+03,3.3538174648833406e+03,3.3469235750962184e+03,3.3400761971936381e+03,3.3332747461047438e+03,3.3265186471137949e+03,3.3198073356231271e+03,3.3131402569227371e+03,3.3065168659663032e+03,3.2999366271533936e+03,3.2933990141176969e+03,3.2869035095210447e+03,3.2804496048530650e+03,3.2740368002362716e+03,3.2676646042364150e+03,3.2613325336779344e+03,3.2550401134643425e+03,3.2487868764033910e+03,3.2425723630368620e+03,3.2363961214748474e+03,3.2302577072343674e+03,3.2241566830822094e+03,3.2180926188818312e+03,3.2120650914442390e+03,3.2060736843826803e+03,3.2001179879710717e+03,3.1941975990060209e+03,3.1883121206723490e+03,3.1824611624120098e+03,3.1766443397962958e+03,3.1708612744012353e+03,3.1651115936860970e+03,3.1593949308748970e+03,3.1537109248408265e+03,3.1480592199935186e+03,3.1424394661690608e+03,3.1368513185226921e+03,3.1312944374240847e+03,3.1257684883551588e+03,3.1202731418103403e+03,3.1148080731992068e+03,3.1093729627514408e+03,3.1039674954240354e+03,3.0985913608106907e+03,3.0932442530533267e+03,3.0879258707556673e+03,3.0826359168988338e+03,3.0773740987588958e+03,3.0721401278263138e+03,3.0669337197272389e+03,3.0617545941466083e+03,3.0566024747529914e+03,3.0514770891251387e+03,3.0463781686801854e+03,3.0413054486034766e+03,3.0362586677799536e+03,3.0312375687270714e+03,3.0262418975292103e+03,3.0212714037735313e+03,3.0163258404872427e+03,3.0114049640762464e+03,3.0065085342651205e+03,3.0016363140384055e+03,2.9967880695831645e+03,2.9919635702327796e+03,2.9871625884119594e+03,2.9823848995829158e+03,2.9776302821926943e+03,2.9728985176216192e+03,2.9681893901328290e+03,2.9635026868228742e+03,2.9588381975733496e+03,2.9541957150035400e+03,2.9495750344240496e+03,2.9449759537913919e+03,2.9403982736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auto test_y = 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auto test_dy = 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Test kr: [ 0.99275022  0.99388673  0.99496923  0.99599013  0.9969403   0.99780843
  0.99857974  0.99923337  0.99973538  1.        ]
test dkr: [ 9.99295316  9.31548591  8.578956    7.77619893  6.89756873  5.92934897
  4.85043046  3.62397829  2.16845045  0.        ]

In [5]:

    

f,a = get_ax()

print "Plotting WRM3"
print "---------------------"
wrm3 = wrm_vangenuchten.VanGenuchten(alpha=0.00056, m=0.24, sr=0.18, smoothing_interval=0.0)
plot(wrm3, a, '-',color='m')

print "Plotting WRM4"
print "---------------------"
wrm4 = wrm_vangenuchten.VanGenuchtenSpline(alpha=0.00056, m=0.24, sr=0.18, smoothing_interval=0.0, n_control=20)
plot(wrm4, a, '-',color='r', control=True)


print "Plotting WRM5"
print "---------------------"
wrm5 = wrm_vangenuchten.VanGenuchten(alpha=0.00056, m=0.24, sr=0.18, smoothing_interval=0.1)
plot(wrm5, a, '-',color='c')

print "Plotting WRM6"
print "---------------------"
wrm6 = wrm_vangenuchten.VanGenuchtenSpline(alpha=0.00056, m=0.24, sr=0.18, smoothing_interval=0.1, n_control=20)
plot(wrm6, a, '-',color='b', control=True)


decorate(a)
plt.show()


    

    




Plotting WRM3
---------------------
Test pcs: [ 29.84317413  27.28128629  24.64261148  21.91305637  19.07308809
  16.09404568  12.93027121   9.49891806   5.60773171   0.        ]
Test sats: [ 0.9990991  0.9991992  0.9992993  0.9993994  0.9994995  0.9995996
  0.9996997  0.9997998  0.9998999  1.       ]
Test dsats: [ -3.96082341e-05  -3.85256657e-05  -3.73313190e-05  -3.59954268e-05
  -3.44734718e-05  -3.26939797e-05  -3.05297770e-05  -2.77142317e-05
  -2.34799264e-05   0.00000000e+00]
Test kr: [ 0.52621428  0.53738014  0.54979882  0.56381651  0.57995441  0.59905564
  0.62263348  0.65389434  0.7021992   1.        ]
test dkr: [ 106.16005455  117.33125963  131.35941422  149.55973619  174.22908495
  209.7976477   266.14428012  371.14889275  651.24358885    0.        ]
Plotting WRM4
---------------------
Control sats: [ 1.          0.99440813  0.97778507  0.95058424  0.91354761  0.86768544
  0.81424874  0.75469512  0.69064905  0.62385753  0.55614247  0.48935095
  0.42530488  0.36575126  0.31231456  0.26645239  0.22941576  0.20221493
  0.18559187]
Control PCs: [  0.00000000e+00   1.20876279e+02   3.59245492e+02   7.07224230e+02
   1.19698317e+03   1.89563843e+03   2.92723620e+03   4.52398959e+03
   7.14130913e+03   1.17307635e+04   2.04417049e+04   3.86124124e+04
   8.11553872e+04   1.96453309e+05   5.75837436e+05   2.21683793e+06
   1.30310389e+07   1.63875242e+08   1.29308243e+10]
Control dsats: [  0.00000000e+00  -5.98051925e-05  -7.58314720e-05  -7.85062213e-05
  -7.18699511e-05  -5.95298496e-05  -4.49592294e-05  -3.09938616e-05
  -1.94426520e-05  -1.10225549e-05  -5.58482810e-06  -2.48644715e-06
  -9.48271381e-07  -2.97972576e-07  -7.25250587e-08  -1.23141328e-08
  -1.19751378e-09  -4.28084143e-11  -1.36561464e-13]
Control krs: [  1.00000000e+00   3.30243978e-01   1.68780574e-01   8.64217885e-02
   4.23429928e-02   1.93574786e-02   8.08407730e-03   3.01748464e-03
   9.81994164e-04   2.70471469e-04   6.07736477e-05   1.06278066e-05
   1.35822637e-06   1.16049451e-07   5.79116470e-09   1.34883369e-10
   9.64305700e-13   8.26223274e-16   4.21843171e-21]
Control dkrs: [  0.00000000e+00   2.08737539e+01   5.05248596e+00   1.83859454e+00
   7.57034606e-01   3.19982487e-01   1.31830567e-01   5.10129905e-02
   1.79393350e-02   5.54213409e-03   1.44773747e-03   3.05369908e-04
   4.90246424e-05   5.52276334e-06   3.86688105e-07   1.37822218e-08
   1.72375343e-10   3.28531581e-13   6.66375463e-18]
Spline slopes: [    0.           120.87627915   359.24549166   707.2242298   1196.98316548] [ 1.          0.99440813  0.97778507  0.95058424  0.91354761] [  0.00000000e+00  -5.98051925e-05  -7.58314720e-05  -7.85062213e-05
  -7.18699511e-05] [  0.00000000e+00  -5.98051925e-05  -7.58314720e-05  -7.85062213e-05
  -7.18699511e-05]
Test pcs: [ 29.84317413  27.28128629  24.64261148  21.91305637  19.07308809
  16.09404568  12.93027121   9.49891806   5.60773171   0.        ]
Test sats: [ 0.99947761  0.99955918  0.99963674  0.99970982  0.99977785  0.9998401
  0.9998956   0.99994297  0.99997985  1.        ]
Test dsats: [ -3.30150361e-05  -3.06503609e-05  -2.81226274e-05  -2.54094030e-05
  -2.24801724e-05  -1.92910471e-05  -1.57736099e-05  -1.18066628e-05
  -7.11670199e-06   0.00000000e+00]
Test kr: [ 0.98448002  0.98883758  0.99234845  0.99507444  0.9970897   0.99848104
  0.99934829  0.99980441  0.99997548  1.        ]
test dkr: [ 57.51020109  49.28451677  41.2041237   33.35946943  25.85591795
  18.81969757  12.4087651    6.83578817   2.43083335   0.        ]
Plotting WRM5
---------------------
Test pcs: [ 29.84317413  27.28128629  24.64261148  21.91305637  19.07308809
  16.09404568  12.93027121   9.49891806   5.60773171   0.        ]
Test sats: [ 0.9990991  0.9991992  0.9992993  0.9993994  0.9994995  0.9995996
  0.9996997  0.9997998  0.9998999  1.       ]
Test dsats: [ -3.96082341e-05  -3.85256657e-05  -3.73313190e-05  -3.59954268e-05
  -3.44734718e-05  -3.26939797e-05  -3.05297770e-05  -2.77142317e-05
  -2.34799264e-05   0.00000000e+00]
Test kr: [ 0.9997707   0.9998187   0.9998611   0.99989788  0.99992904  0.99995455
  0.99997442  0.99998862  0.99999715  1.        ]
test dkr: [ 0.50753314  0.4515916   0.3955373   0.33937024  0.28309043  0.22669785
  0.17019253  0.11357444  0.0568436   0.        ]
Plotting WRM6
---------------------
Control sats: [ 1.          0.99440813  0.97778507  0.95058424  0.91354761  0.86768544
  0.81424874  0.75469512  0.69064905  0.62385753  0.55614247  0.48935095
  0.42530488  0.36575126  0.31231456  0.26645239  0.22941576  0.20221493
  0.18559187]
Control PCs: [  0.00000000e+00   1.20876279e+02   3.59245492e+02   7.07224230e+02
   1.19698317e+03   1.89563843e+03   2.92723620e+03   4.52398959e+03
   7.14130913e+03   1.17307635e+04   2.04417049e+04   3.86124124e+04
   8.11553872e+04   1.96453309e+05   5.75837436e+05   2.21683793e+06
   1.30310389e+07   1.63875242e+08   1.29308243e+10]
Control dsats: [  0.00000000e+00  -5.98051925e-05  -7.58314720e-05  -7.85062213e-05
  -7.18699511e-05  -5.95298496e-05  -4.49592294e-05  -3.09938616e-05
  -1.94426520e-05  -1.10225549e-05  -5.58482810e-06  -2.48644715e-06
  -9.48271381e-07  -2.97972576e-07  -7.25250587e-08  -1.23141328e-08
  -1.19751378e-09  -4.28084143e-11  -1.36561464e-13]
Control krs: [  1.00000000e+00   9.91440820e-01   8.80300477e-01   5.32287895e-01
   8.76352984e-02   1.93574786e-02   8.08407730e-03   3.01748464e-03
   9.81994164e-04   2.70471469e-04   6.07736477e-05   1.06278066e-05
   1.35822637e-06   1.16049451e-07   5.79116470e-09   1.34883369e-10
   9.64305700e-13   8.26223274e-16   4.21843171e-21]
Control dkrs: [  0.00000000e+00   3.00265112e+00   9.85091419e+00   1.43497893e+01
   7.08903190e+00   3.19982487e-01   1.31830567e-01   5.10129905e-02
   1.79393350e-02   5.54213409e-03   1.44773747e-03   3.05369908e-04
   4.90246424e-05   5.52276334e-06   3.86688105e-07   1.37822218e-08
   1.72375343e-10   3.28531581e-13   6.66375463e-18]
Spline slopes: [    0.           120.87627915   359.24549166   707.2242298   1196.98316548] [ 1.          0.99440813  0.97778507  0.95058424  0.91354761] [  0.00000000e+00  -5.98051925e-05  -7.58314720e-05  -7.85062213e-05
  -7.18699511e-05] [  0.00000000e+00  -5.98051925e-05  -7.58314720e-05  -7.85062213e-05
  -7.18699511e-05]
Test pcs: [ 29.84317413  27.28128629  24.64261148  21.91305637  19.07308809
  16.09404568  12.93027121   9.49891806   5.60773171   0.        ]
Test sats: [ 0.99947761  0.99955918  0.99963674  0.99970982  0.99977785  0.9998401
  0.9998956   0.99994297  0.99997985  1.        ]
Test dsats: [ -3.30150361e-05  -3.06503609e-05  -2.81226274e-05  -2.54094030e-05
  -2.24801724e-05  -1.92910471e-05  -1.57736099e-05  -1.18066628e-05
  -7.11670199e-06   0.00000000e+00]
Test kr: [ 0.99992271  0.99994493  0.99996259  0.99997611  0.99998599  0.99999274
  0.9999969   0.99999908  0.99999988  1.        ]
test dkr: [ 0.29540946  0.24948428  0.20574658  0.16447317  0.12600002  0.09074975
  0.05928223  0.03240206  0.01145257  0.        ]

In [8]:

    

f,a = get_ax()

print "Plotting WRM7"
print "---------------------"
wrm7 = wrm_vangenuchten.VanGenuchten(alpha=0.00056, m=0.24, sr=0.18, smoothing_interval=0.1)
plot(wrm7, a, '-',color='k')

print "Plotting WRM8"
print "---------------------"
wrm8 = wrm_vangenuchten.VanGenuchtenSpline(alpha=0.00056, m=0.24, sr=0.18, smoothing_interval=0.1, n_control=80)
plot(wrm8, a, '-',color='r', control=True)

print "Plotting WRM9"
print "---------------------"
wrm9 = wrm_vangenuchten.VanGenuchtenSpline(alpha=0.00056, m=0.24, sr=0.18, smoothing_interval=0.1, n_control=40)
plot(wrm9, a, '-',color='g', control=True)


print "Plotting WRM10"
print "---------------------"
wrm10 = wrm_vangenuchten.VanGenuchtenSpline(alpha=0.00056, m=0.24, sr=0.18, smoothing_interval=0.1, n_control=20)
plot(wrm10, a, '-',color='b', control=True)

decorate(a)
plt.show()


    

    




Plotting WRM7
---------------------
Test pcs: [ 29.84317413  27.28128629  24.64261148  21.91305637  19.07308809
  16.09404568  12.93027121   9.49891806   5.60773171   0.        ]
Test sats: [ 0.9990991  0.9991992  0.9992993  0.9993994  0.9994995  0.9995996
  0.9996997  0.9997998  0.9998999  1.       ]
Test dsats: [ -3.96082341e-05  -3.85256657e-05  -3.73313190e-05  -3.59954268e-05
  -3.44734718e-05  -3.26939797e-05  -3.05297770e-05  -2.77142317e-05
  -2.34799264e-05   0.00000000e+00]
Test kr: [ 0.9997707   0.9998187   0.9998611   0.99989788  0.99992904  0.99995455
  0.99997442  0.99998862  0.99999715  1.        ]
test dkr: [ 0.50753314  0.4515916   0.3955373   0.33937024  0.28309043  0.22669785
  0.17019253  0.11357444  0.0568436   0.        ]
Plotting WRM8
---------------------
Control sats: [ 1.          0.99967585  0.99870392  0.99708575  0.99482389  0.99192192
  0.98838443  0.98421701  0.97942625  0.97401973  0.968006    0.96139456
  0.95419587  0.94642131  0.93808318  0.92919465  0.91976979  0.9098235
  0.89937149  0.88843031  0.87701725  0.86515036  0.85284839  0.84013081
  0.82701772  0.81352986  0.79968855  0.78551568  0.77103365  0.75626538
  0.74123421  0.7259639   0.71047861  0.69480282  0.67896131  0.66297914
  0.64688157  0.63069406  0.6144422   0.5981517   0.5818483   0.5655578
  0.54930594  0.53311843  0.51702086  0.50103869  0.48519718  0.46952139
  0.4540361   0.43876579  0.42373462  0.40896635  0.39448432  0.38031145
  0.36647014  0.35298228  0.33986919  0.32715161  0.31484964  0.30298275
  0.29156969  0.28062851  0.2701765   0.26023021  0.25080535  0.24191682
  0.23357869  0.22580413  0.21860544  0.211994    0.20598027  0.20057375
  0.19578299  0.19161557  0.18807808  0.18517611  0.18291425  0.18129608
  0.18032415]
Control PCs: [  0.00000000e+00   1.37042139e+01   3.93823288e+01   7.31866448e+01
   1.13868587e+02   1.60831330e+02   2.13793332e+02   2.72667535e+02
   3.37506849e+02   4.08477040e+02   4.85843276e+02   5.69964557e+02
   6.61293324e+02   7.60378941e+02   8.67874427e+02   9.84546228e+02
   1.11128706e+03   1.24913207e+03   1.39927868e+03   1.56311077e+03
   1.74222783e+03   1.93848015e+03   2.15401117e+03   2.39130864e+03
   2.65326638e+03   2.94325908e+03   3.26523324e+03   3.62381796e+03
   4.02446051e+03   4.47359283e+03   4.97883684e+03   5.54925869e+03
   6.19568510e+03   6.93109875e+03   7.77113501e+03   8.73470903e+03
   9.84481204e+03   1.11295278e+04   1.26233382e+04   1.43688100e+04
   1.64187896e+04   1.88392759e+04   2.17132101e+04   2.51455118e+04
   2.92698230e+04   3.42576175e+04   4.03306109e+04   4.77778261e+04
   5.69792927e+04   6.84393028e+04   8.28335965e+04   1.01077106e+05
   1.24422442e+05   1.54605024e+05   1.94060024e+05   2.46251757e+05
   3.16182180e+05   4.11190228e+05   5.42233141e+05   7.25984689e+05
   9.88352084e+05   1.37052351e+06   1.93966478e+06   2.80844050e+06
   4.17190558e+06   6.38001146e+06   1.00865768e+07   1.65712728e+07
   2.84774639e+07   5.16224209e+07   9.98123517e+07   2.08960124e+08
   4.83752429e+08   1.27720545e+09   4.03410096e+09   1.65149837e+10
   1.01832809e+11   1.32503093e+12   1.06710111e+14]
Control dsats: [  0.00000000e+00  -3.10907307e-05  -4.31262331e-05  -5.19147425e-05
  -5.88428107e-05  -6.44236963e-05  -6.89107459e-05  -7.24518007e-05
  -7.51450015e-05  -7.70632977e-05  -7.82665872e-05  -7.88081913e-05
  -7.87384408e-05  -7.81066600e-05  -7.69622043e-05  -7.53549087e-05
  -7.33351585e-05  -7.09537145e-05  -6.82613799e-05  -6.53085704e-05
  -6.21448313e-05  -5.88183373e-05  -5.53754002e-05  -5.18600044e-05
  -4.83133877e-05  -4.47736781e-05  -4.12755951e-05  -3.78502217e-05
  -3.45248495e-05  -3.13228970e-05  -2.82638987e-05  -2.53635633e-05
  -2.26338919e-05  -2.00833538e-05  -1.77171085e-05  -1.55372680e-05
  -1.35431890e-05  -1.17317876e-05  -1.00978669e-05  -8.63444954e-06
  -7.33310735e-06  -6.18428199e-06  -5.17758967e-06  -4.30210560e-06
  -3.54662398e-06  -2.89989074e-06  -2.35080693e-06  -1.88860196e-06
  -1.50297644e-06  -1.18421536e-06  -9.23272940e-07  -7.11830916e-07
  -5.42332626e-07  -4.07995493e-07  -3.02804687e-07  -2.21490871e-07
  -1.59494963e-07  -1.12922761e-07  -7.84921501e-08  -5.34754180e-08
  -3.56389934e-08  -2.31826322e-08  -1.46798086e-08  -9.02076406e-09
  -5.35936309e-09  -3.06461319e-09  -1.67741645e-09  -8.72858400e-10
  -4.28098344e-10  -1.95716405e-10  -8.21971393e-11  -3.10919179e-11
  -1.03030005e-11  -2.87195365e-12  -6.32352171e-13  -9.89744235e-14
  -9.03725833e-15  -3.08888758e-16  -9.59255434e-19]
Control krs: [  1.00000000e+00   9.99970201e-01   9.99526655e-01   9.97632621e-01
   9.92645365e-01   9.82442082e-01   9.64592547e-01   9.36574963e-01
   8.96030497e-01   8.41051212e-01   7.70495299e-01   6.84322895e-01
   5.83945188e-01   4.72579111e-01   3.55599619e-01   2.40881377e-01
   1.39121657e-01   6.41363550e-02   3.30130363e-02   2.73801019e-02
   2.26015235e-02   1.85638742e-02   1.51670937e-02   1.23228748e-02
   9.95332751e-03   7.98985136e-03   6.37216459e-03   5.04745450e-03
   3.96962201e-03   3.09860116e-03   2.39973969e-03   1.84323081e-03
   1.40358930e-03   1.05916699e-03   7.91704642e-04   5.85917950e-04
   4.29116363e-04   3.10853784e-04   2.22610411e-04   1.57505051e-04
   1.10037155e-04   7.58576425e-05   5.15673760e-05   3.45419045e-05
   2.27808444e-05   1.47800713e-05   9.42471533e-06   5.90084265e-06
   3.62364705e-06   2.17998563e-06   1.28315449e-06   7.37918448e-07
   4.13966232e-07   2.26150831e-07   1.20080491e-07   6.18375637e-08
   3.08095664e-08   1.48109040e-08   6.84834225e-09   3.03490859e-09
   1.28372749e-09   5.15808629e-10   1.95775573e-10   6.97277432e-11
   2.31204238e-11   7.06941603e-12   1.97015575e-12   4.93241541e-13
   1.08925467e-13   2.07255448e-14   3.29421550e-15   4.19438533e-16
   4.03402521e-17   2.68900520e-18   1.08714789e-19   2.13188742e-21
   1.33368714e-23   1.03917344e-26   4.80331092e-32]
Control dkrs: [  0.00000000e+00   1.83664016e-01   7.27277885e-01   1.60876354e+00
   2.79151209e+00   4.22466435e+00   5.84350097e+00   7.56993965e+00
   9.31313605e+00   1.09701845e+01   1.24269140e+01   1.35587739e+01
   1.42318038e+01   1.43036808e+01   1.36248379e+01   1.20396453e+01
   9.38764711e+00   5.50484550e+00   5.70278553e-01   4.63829547e-01
   3.77081921e-01   3.06227994e-01   2.48275639e-01   2.00848548e-01
   1.62041823e-01   1.30315985e-01   1.04418119e-01   8.33224383e-02
   6.61849558e-02   5.23085092e-02   4.11154918e-02   3.21263612e-02
   2.49425338e-02   1.92326353e-02   1.47213449e-02   1.11802597e-02
   8.42035097e-03   6.28568199e-03   4.64814029e-03   3.40299122e-03
   2.46510545e-03   1.76574584e-03   1.24982395e-03   8.73555524e-04
   6.02458666e-04   4.09648747e-04   2.74392272e-04   1.80887512e-04
   1.17244063e-04   7.46365866e-05   4.66104235e-05   2.85186401e-05
   1.70717531e-05   9.98288629e-06   5.69263657e-06   3.15946455e-06
   1.70300857e-06   8.89329075e-07   4.48688131e-07   2.18013541e-07
   1.01645818e-07   4.52811128e-08   1.91780962e-08   7.67718479e-09
   2.88443071e-09   1.00856245e-09   3.24814128e-10   9.51219128e-11
   2.49233272e-11   5.72218967e-12   1.12003895e-12   1.80085856e-13
   2.25774026e-14   2.04491713e-15   1.18878989e-16   3.63818999e-18
   4.04251357e-20   7.08202755e-23   1.33541064e-27]
Spline slopes: [   0.           13.70421385   39.38232876   73.18664485  113.86858651] [ 1.          0.99967585  0.99870392  0.99708575  0.99482389] [  0.00000000e+00  -3.10907307e-05  -4.31262331e-05  -5.19147425e-05
  -5.88428107e-05] [  0.00000000e+00  -3.10907307e-05  -4.31262331e-05  -5.19147425e-05
  -5.88428107e-05]
Test pcs: [ 29.84317413  27.28128629  24.64261148  21.91305637  19.07308809
  16.09404568  12.93027121   9.49891806   5.60773171   0.        ]
Test sats: [ 0.99909992  0.99920018  0.9993003   0.99940025  0.99950002  0.99959975
  0.99970026  0.9998115   0.99992374  1.        ]
Test dsats: [ -3.96946353e-05  -3.85637077e-05  -3.73062297e-05  -3.59065074e-05
  -3.43433685e-05  -3.25866377e-05  -3.19270309e-05  -3.18971522e-05
  -2.44827615e-05   0.00000000e+00]
Test kr: [ 0.99977111  0.99981915  0.9998615   0.99989817  0.99992919  0.99995459
  0.99997452  0.99998991  0.99999835  1.        ]
test dkr: [ 0.50707409  0.45104023  0.39497438  0.338895    0.28279468  0.22661394
  0.16987652  0.10694658  0.04331543  0.        ]
Plotting WRM9
---------------------
Control sats: [ 1.          0.9986705   0.99469061  0.98808615  0.97889994  0.96719157
  0.95303697  0.93652794  0.91777153  0.89688941  0.87401698  0.8493026
  0.82290655  0.795       0.76576395  0.735388    0.70406916  0.67201053
  0.63942004  0.60650904  0.57349096  0.54057996  0.50798947  0.47593084
  0.444612    0.41423605  0.385       0.35709345  0.3306974   0.30598302
  0.28311059  0.26222847  0.24347206  0.22696303  0.21280843  0.20110006
  0.19191385  0.18530939  0.1813295 ]
Control PCs: [  0.00000000e+00   4.01551387e+01   1.16127560e+02   2.18112307e+02
   3.44499969e+02   4.96241973e+02   6.76017273e+02   8.88115717e+02
   1.13862100e+03   1.43581686e+03   1.79083529e+03   2.21862030e+03
   2.73933785e+03   3.38044293e+03   4.17973898e+03   5.18996774e+03
   6.48580516e+03   8.17471710e+03   1.04141391e+04   1.34392571e+04
   1.76090061e+04   2.34842365e+04   3.19644085e+04   4.45343451e+04
   6.37257125e+04   9.40150492e+04   1.43651565e+05   2.28572816e+05
   3.81303062e+05   6.72615024e+05   1.26873335e+06   2.59794215e+06
   5.89797757e+06   1.53106150e+07   4.76725267e+07   1.92896413e+08
   1.17866449e+09   1.52375070e+10   1.22237830e+12]
Control dsats: [  0.00000000e+00  -4.33825511e-05  -5.91589510e-05  -6.92152504e-05
  -7.53763232e-05  -7.83719250e-05  -7.86765937e-05  -7.67063451e-05
  -7.28744786e-05  -6.76012597e-05  -6.13055147e-05  -5.43893760e-05
  -4.72218294e-05  -4.01242982e-05  -3.33601296e-05  -2.71288728e-05
  -2.15654815e-05  -1.67439819e-05  -1.26847272e-05  -9.36411282e-06
  -6.72555230e-06  -4.69058160e-06  -3.16914718e-06  -2.06838688e-06
  -1.29949480e-06  -7.82529975e-07  -4.49254642e-07  -2.44254820e-07
  -1.24697976e-07  -5.91242926e-08  -2.56598268e-08  -9.99448530e-09
  -3.39834121e-09  -9.68630671e-10  -2.17327283e-10  -3.45427619e-11
  -3.19197694e-12  -1.10034417e-13  -3.43464263e-16]
Control krs: [  1.00000000e+00   9.99502034e-01   9.92268779e-01   9.62830100e-01
   8.91082485e-01   7.60306364e-01   5.67419276e-01   3.34571936e-01
   1.21045335e-01   3.16308246e-02   2.14998083e-02   1.43124853e-02
   9.30888478e-03   5.90044941e-03   3.63506883e-03   2.17033341e-03
   1.25187917e-03   6.95222411e-04   3.70301935e-04   1.88372214e-04
   9.10834260e-05   4.16374732e-05   1.78845709e-05   7.16690671e-06
   2.65720962e-06   9.02530903e-07   2.77492009e-07   7.61048200e-08
   1.82789627e-08   3.75512194e-09   6.39691955e-10   8.66533948e-11
   8.80145348e-12   6.15055890e-13   2.58784655e-14   5.24291213e-16
   3.36404770e-18   2.66867864e-21   1.30106270e-26]
Control dkrs: [  0.00000000e+00   7.45785368e-01   2.85941063e+00   5.97356500e+00
   9.48889804e+00   1.25929064e+01   1.42856564e+01   1.34116449e+01
   8.69693622e+00   5.43728807e-01   3.57530916e-01   2.33923253e-01
   1.51589041e-01   9.68976943e-02   6.08608877e-02   3.74207172e-02
   2.24385215e-02   1.30704663e-02   7.36577546e-03   3.99820326e-03
   2.08042377e-03   1.03225688e-03   4.85524222e-04   2.15037577e-04
   8.89911655e-05   3.41017781e-05   1.19702952e-05   3.79836676e-06
   1.07177691e-06   2.63329896e-07   5.48049488e-08   9.30890801e-09
   1.22489832e-09   1.15686888e-10   6.96751560e-12   2.19489409e-13
   2.49421833e-15   4.43992826e-18   8.64461474e-23]
Spline slopes: [   0.           40.15513868  116.12756001  218.11230735  344.49996928] [ 1.          0.9986705   0.99469061  0.98808615  0.97889994] [  0.00000000e+00  -4.33825511e-05  -5.91589510e-05  -6.92152504e-05
  -7.53763232e-05] [  0.00000000e+00  -4.33825511e-05  -5.91589510e-05  -6.92152504e-05
  -7.53763232e-05]
Test pcs: [ 29.84317413  27.28128629  24.64261148  21.91305637  19.07308809
  16.09404568  12.93027121   9.49891806   5.60773171   0.        ]
Test sats: [ 0.99913559  0.99925063  0.99936589  0.99948002  0.99959143  0.99969817
  0.99979768  0.99988643  0.99995869  1.        ]
Test dsats: [ -4.53167792e-05  -4.43960388e-05  -4.28646703e-05  -4.06580031e-05
  -3.76900468e-05  -3.38402345e-05  -2.89259815e-05  -2.26346135e-05
  -1.42895481e-05   0.00000000e+00]
Test kr: [ 0.99978885  0.99984119  0.99988619  0.99992342  0.99995269  0.99997416
  0.99998838  0.99999634  0.99999952  1.        ]
test dkr: [ 0.48715121  0.42280565  0.35818755  0.29405148  0.23130176  0.17105801
  0.11477386  0.06448485  0.02347494  0.        ]
Plotting WRM10
---------------------
Control sats: [ 1.          0.99440813  0.97778507  0.95058424  0.91354761  0.86768544
  0.81424874  0.75469512  0.69064905  0.62385753  0.55614247  0.48935095
  0.42530488  0.36575126  0.31231456  0.26645239  0.22941576  0.20221493
  0.18559187]
Control PCs: [  0.00000000e+00   1.20876279e+02   3.59245492e+02   7.07224230e+02
   1.19698317e+03   1.89563843e+03   2.92723620e+03   4.52398959e+03
   7.14130913e+03   1.17307635e+04   2.04417049e+04   3.86124124e+04
   8.11553872e+04   1.96453309e+05   5.75837436e+05   2.21683793e+06
   1.30310389e+07   1.63875242e+08   1.29308243e+10]
Control dsats: [  0.00000000e+00  -5.98051925e-05  -7.58314720e-05  -7.85062213e-05
  -7.18699511e-05  -5.95298496e-05  -4.49592294e-05  -3.09938616e-05
  -1.94426520e-05  -1.10225549e-05  -5.58482810e-06  -2.48644715e-06
  -9.48271381e-07  -2.97972576e-07  -7.25250587e-08  -1.23141328e-08
  -1.19751378e-09  -4.28084143e-11  -1.36561464e-13]
Control krs: [  1.00000000e+00   9.91440820e-01   8.80300477e-01   5.32287895e-01
   8.76352984e-02   1.93574786e-02   8.08407730e-03   3.01748464e-03
   9.81994164e-04   2.70471469e-04   6.07736477e-05   1.06278066e-05
   1.35822637e-06   1.16049451e-07   5.79116470e-09   1.34883369e-10
   9.64305700e-13   8.26223274e-16   4.21843171e-21]
Control dkrs: [  0.00000000e+00   3.00265112e+00   9.85091419e+00   1.43497893e+01
   7.08903190e+00   3.19982487e-01   1.31830567e-01   5.10129905e-02
   1.79393350e-02   5.54213409e-03   1.44773747e-03   3.05369908e-04
   4.90246424e-05   5.52276334e-06   3.86688105e-07   1.37822218e-08
   1.72375343e-10   3.28531581e-13   6.66375463e-18]
Spline slopes: [    0.           120.87627915   359.24549166   707.2242298   1196.98316548] [ 1.          0.99440813  0.97778507  0.95058424  0.91354761] [  0.00000000e+00  -5.98051925e-05  -7.58314720e-05  -7.85062213e-05
  -7.18699511e-05] [  0.00000000e+00  -5.98051925e-05  -7.58314720e-05  -7.85062213e-05
  -7.18699511e-05]
Test pcs: [ 29.84317413  27.28128629  24.64261148  21.91305637  19.07308809
  16.09404568  12.93027121   9.49891806   5.60773171   0.        ]
Test sats: [ 0.99947761  0.99955918  0.99963674  0.99970982  0.99977785  0.9998401
  0.9998956   0.99994297  0.99997985  1.        ]
Test dsats: [ -3.30150361e-05  -3.06503609e-05  -2.81226274e-05  -2.54094030e-05
  -2.24801724e-05  -1.92910471e-05  -1.57736099e-05  -1.18066628e-05
  -7.11670199e-06   0.00000000e+00]
Test kr: [ 0.99992271  0.99994493  0.99996259  0.99997611  0.99998599  0.99999274
  0.9999969   0.99999908  0.99999988  1.        ]
test dkr: [ 0.29540946  0.24948428  0.20574658  0.16447317  0.12600002  0.09074975
  0.05928223  0.03240206  0.01145257  0.        ]

In [ ]:

    

1.0/0.00056


    

In [ ]:

    

import spline
a = spline.Spline(0,1,0,529.0460136,0.9944081,-4.03270837e-05)
a.Value(150)


    

In [ ]:

    

print wrm1.d_saturation(0.)


    

In [5]:

    

f,a = get_ax()
print "Plotting WRM9"
print "---------------------"
wrm9 = wrm_vangenuchten.VanGenuchtenSpline(alpha=1.36e-4, n=1.39, sr=0.)
plot(wrm9, a, '-',color='g', control=True)
decorate(a)
plt.show()


    

    




Plotting WRM9
---------------------
Control sats: [  1.00000000e+00   9.99748271e-01   9.98993338e-01   9.97735961e-01
   9.95977406e-01   9.93719444e-01   9.90964349e-01   9.87714893e-01
   9.83974351e-01   9.79746487e-01   9.75035559e-01   9.69846310e-01
   9.64183967e-01   9.58054229e-01   9.51463269e-01   9.44417724e-01
   9.36924689e-01   9.28991707e-01   9.20626766e-01   9.11838291e-01
   9.02635129e-01   8.93026547e-01   8.83022222e-01   8.72632225e-01
   8.61867019e-01   8.50737444e-01   8.39254706e-01   8.27430367e-01
   8.15276334e-01   8.02804844e-01   7.90028455e-01   7.76960032e-01
   7.63612734e-01   7.50000000e-01   7.36135537e-01   7.22033306e-01
   7.07707507e-01   6.93172563e-01   6.78443111e-01   6.63533982e-01
   6.48460188e-01   6.33236907e-01   6.17879468e-01   6.02403334e-01
   5.86824089e-01   5.71157419e-01   5.55419100e-01   5.39624978e-01
   5.23790958e-01   5.07932982e-01   4.92067018e-01   4.76209042e-01
   4.60375022e-01   4.44580900e-01   4.28842581e-01   4.13175911e-01
   3.97596666e-01   3.82120532e-01   3.66763093e-01   3.51539812e-01
   3.36466018e-01   3.21556889e-01   3.06827437e-01   2.92292493e-01
   2.77966694e-01   2.63864463e-01   2.50000000e-01   2.36387266e-01
   2.23039968e-01   2.09971545e-01   1.97195156e-01   1.84723666e-01
   1.72569633e-01   1.60745294e-01   1.49262556e-01   1.38132981e-01
   1.27367775e-01   1.16977778e-01   1.06973453e-01   9.73648712e-02
   8.81617093e-02   7.93732336e-02   7.10082934e-02   6.30753115e-02
   5.55822757e-02   4.85367309e-02   4.19457713e-02   3.58160335e-02
   3.01536896e-02   2.49644411e-02   2.02535132e-02   1.60256493e-02
   1.22851066e-02   9.03565137e-03   6.28055566e-03   4.02259358e-03
   2.26403871e-03   1.00666176e-03   2.51728808e-04]
Control PCs: [  0.00000000e+00   4.72574395e+01   1.28252833e+02   2.30251885e+02
   3.49178182e+02   4.82916196e+02   6.30230093e+02   7.90381826e+02
   9.62956698e+02   1.14777157e+03   1.34482224e+03   1.55425174e+03
   1.77633090e+03   2.01144661e+03   2.26009542e+03   2.52288082e+03
   2.80051354e+03   3.09381422e+03   3.40371821e+03   3.73128235e+03
   4.07769362e+03   4.44427985e+03   4.83252236e+03   5.24407093e+03
   5.68076118e+03   6.14463467e+03   6.63796206e+03   7.16326984e+03
   7.72337094e+03   8.32140008e+03   8.96085436e+03   9.64563997e+03
   1.03801262e+04   1.11692076e+04   1.20183764e+04   1.29338055e+04
   1.39224463e+04   1.49921414e+04   1.61517565e+04   1.74113352e+04
   1.87822799e+04   2.02775653e+04   2.19119895e+04   2.37024713e+04
   2.56684037e+04   2.78320731e+04   3.02191611e+04   3.28593454e+04
   3.57870217e+04   3.90421752e+04   4.26714360e+04   4.67293617e+04
   5.12800039e+04   5.63988281e+04   6.21750772e+04   6.87146958e+04
   7.61439641e+04   8.46140369e+04   9.43066425e+04   1.05441278e+05
   1.18284345e+05   1.33160818e+05   1.50469244e+05   1.70701150e+05
   1.94466332e+05   2.22526050e+05   2.55836934e+05   2.95609545e+05
   3.43387160e+05   4.01152737e+05   4.71475591e+05   5.57714596e+05
   6.64302891e+05   7.97151526e+05   9.64229087e+05   1.17640556e+06
   1.44869916e+06   1.80214829e+06   2.26667128e+06   2.88551841e+06
   3.72234767e+06   4.87272834e+06   6.48331730e+06   8.78472512e+06
   1.21496166e+07   1.71990537e+07   2.50049503e+07   3.74932009e+07
   5.82890435e+07   9.46001106e+07   1.61721423e+08   2.94779855e+08
   5.82759596e+08   1.28112248e+09   3.25551638e+09   1.02035899e+10
   4.45461523e+10   3.55938533e+11   1.24405110e+13]
Control dsats: [  0.00000000e+00  -7.39993716e-06  -1.08851253e-05  -1.35972208e-05
  -1.58665512e-05  -1.78199027e-05  -1.95207635e-05  -2.10057495e-05
  -2.22980851e-05  -2.34136652e-05  -2.43641476e-05  -2.51586756e-05
  -2.58049001e-05  -2.63096142e-05  -2.66791585e-05  -2.69196838e-05
  -2.70373208e-05  -2.70382876e-05  -2.69289517e-05  -2.67158624e-05
  -2.64057582e-05  -2.60055581e-05  -2.55223401e-05  -2.49633099e-05
  -2.43357632e-05  -2.36470427e-05  -2.29044927e-05  -2.21154116e-05
  -2.12870044e-05  -2.04263359e-05  -1.95402854e-05  -1.86355033e-05
  -1.77183720e-05  -1.67949689e-05  -1.58710344e-05  -1.49519437e-05
  -1.40426835e-05  -1.31478331e-05  -1.22715505e-05  -1.14175634e-05
  -1.05891646e-05  -9.78921181e-06  -9.02013272e-06  -8.28393289e-06
  -7.58220827e-06  -6.91616081e-06  -6.28661715e-06  -5.69405000e-06
  -5.13860164e-06  -4.62010932e-06  -4.13813200e-06  -3.69197797e-06
  -3.28073320e-06  -2.90328966e-06  -2.55837361e-06  -2.24457326e-06
  -1.96036565e-06  -1.70414242e-06  -1.47423427e-06  -1.26893383e-06
  -1.08651689e-06  -9.25261845e-07  -7.83467123e-07  -6.59466784e-07
  -5.51644066e-07  -4.58442974e-07  -3.78377936e-07  -3.10041575e-07
  -2.52110686e-07  -2.03350499e-07  -1.62617365e-07  -1.28859968e-07
  -1.01119202e-07  -7.85268663e-08  -6.03032957e-08  -4.57541017e-08
  -3.42661449e-08  -2.53028938e-08  -1.83993035e-08  -1.31563466e-08
  -9.23532207e-09  -6.35205814e-09  -4.27111663e-09  -2.80009590e-09
  -1.78411872e-09  -1.10057987e-09  -6.54216418e-10  -3.72551679e-10
  -2.01751367e-10  -1.02918623e-10  -4.88424027e-11  -2.12022654e-11
  -8.22155628e-12  -2.75063776e-12  -7.52389602e-13  -1.53750935e-13
  -1.98215795e-14  -1.10299406e-15  -7.89149539e-18]
Control krs: [  1.00000000e+00   7.40123740e-01   6.30177575e-01   5.49292502e-01
   4.84175068e-01   4.29504980e-01   3.82487371e-01   3.41426886e-01
   3.05196460e-01   2.72996963e-01   2.44233749e-01   2.18447288e-01
   1.95271471e-01   1.74407189e-01   1.55604880e-01   1.38652594e-01
   1.23367595e-01   1.09590311e-01   9.71798802e-02   8.60108175e-02
   7.59704760e-02   6.69570889e-02   5.88782374e-02   5.16496391e-02
   4.51941759e-02   3.94411083e-02   3.43254289e-02   2.97873279e-02
   2.57717422e-02   2.22279725e-02   1.91093523e-02   1.63729581e-02
   1.39793527e-02   1.18923535e-02   1.00788222e-02   8.50846992e-03
   7.15367595e-03   5.98931729e-03   4.99260658e-03   4.14293776e-03
   3.42173805e-03   2.81232562e-03   2.29977258e-03   1.87077295e-03
   1.51351558e-03   1.21756187e-03   9.73728575e-04   7.73975678e-04
   6.11299520e-04   4.79631413e-04   3.73741847e-04   2.89150458e-04
   2.22041866e-04   1.69187459e-04   1.27873148e-04   9.58330674e-05
   7.11891511e-05   5.23964543e-05   3.81940430e-05   2.75612306e-05
   1.96788966e-05   1.38955863e-05   9.69806486e-06   6.68597665e-06
   4.55024659e-06   3.05485689e-06   2.02163246e-06   1.31767768e-06
   8.45121258e-07   5.32845644e-07   3.29900851e-07   2.00328810e-07
   1.19152670e-07   6.93142482e-08   3.93715888e-08   2.17962304e-08
   1.17357897e-08   6.13126455e-09   3.09974757e-09   1.51182776e-09
   7.08816017e-10   3.18145041e-10   1.36042552e-10   5.51058185e-11
   2.10003703e-11   7.46762517e-12   2.45293711e-12   7.35035447e-13
   1.97787072e-13   4.68319803e-14   9.50029996e-15   1.59244762e-15
   2.09647748e-16   2.01251510e-17   1.25538575e-18   4.19547525e-20
   5.23131810e-22   1.08012446e-24   2.76479293e-29]
Control dkrs: [  0.00000000e+00   2.68068529e+02   9.13164219e+01   4.75842550e+01
   2.95187843e+01   2.01420749e+01   1.45914131e+01   1.10111301e+01
   8.55780601e+00   6.79960747e+00   5.49536556e+00   4.50114662e+00
   3.72641766e+00   3.11175423e+00   2.61674779e+00   2.21308914e+00
   1.88043321e+00   1.60383197e+00   1.37208833e+00   1.17667052e+00
   1.01097819e+00   8.69835176e-01   7.49132173e-01   6.45570440e-01
   5.56475088e-01   4.79657081e-01   4.13309894e-01   3.55931196e-01
   3.06262823e-01   2.63244323e-01   2.25976633e-01   1.93693451e-01
   1.65738474e-01   1.41547152e-01   1.20631974e-01   1.02570498e-01
   8.69955638e-02   7.35872275e-02   6.20660820e-02   5.21876872e-02
   4.37378989e-02   3.65289296e-02   3.03960064e-02   2.51945197e-02
   2.07975780e-02   1.70938972e-02   1.39859719e-02   1.13884795e-02
   9.22688302e-03   7.43620029e-03   5.95991573e-03   4.74901401e-03
   3.76111878e-03   2.95972277e-03   2.31349790e-03   1.79567583e-03
   1.38349131e-03   1.05768178e-03   8.02037600e-04   6.02998498e-04
   4.49292063e-04   3.31610892e-04   2.42325282e-04   1.75228680e-04
   1.25313307e-04   8.85735400e-05   6.18347625e-05   4.26054655e-05
   2.89504660e-05   1.93831767e-05   1.27749251e-05   8.27939631e-06
   5.27036330e-06   3.29096322e-06   2.01289245e-06   1.20401638e-06
   7.03022921e-07   3.99888321e-07   2.21066703e-07   1.18456420e-07
   6.13340024e-08   3.05767226e-08   1.46150334e-08   6.66450847e-09
   2.88215878e-09   1.17364670e-09   4.46089902e-10   1.56550401e-10
   5.00357437e-11   1.43101215e-11   3.57815746e-12   7.58004778e-13
   1.30176820e-13   1.69903393e-14   1.52476000e-15   7.95604782e-17
   1.76258307e-18   8.18494605e-21   8.37836128e-25]
Spline slopes: [   0.           47.25743946  128.25283331  230.2518849   349.17818243] [ 1.          0.99974827  0.99899334  0.99773596  0.99597741] [  0.00000000e+00  -7.39993716e-06  -1.08851253e-05  -1.35972208e-05
  -1.58665512e-05] [  0.00000000e+00  -7.39993716e-06  -1.08851253e-05  -1.35972208e-05
  -1.58665512e-05]
auto x = std::vector<double>{0.0000000000000000e+00,4.7257439457532904e+01,1.2825283330535285e+02,2.3025188489945043e+02,3.4917818242820766e+02,4.8291619631146074e+02,6.3023009321098857e+02,7.9038182640698528e+02,9.6295669787939494e+02,1.1477715695742070e+03,1.3448222396128235e+03,1.5542517417973368e+03,1.7763308974630156e+03,2.0114466126775408e+03,2.2600954208248540e+03,2.5228808195787365e+03,2.8005135378980926e+03,3.0938142171460149e+03,3.4037182097935515e+03,3.7312823458280368e+03,4.0776936217551679e+03,4.4442798476763282e+03,4.8325223550677829e+03,5.2440709284812865e+03,5.6807611831857294e+03,6.1446346713603662e+03,6.6379620648145947e+03,7.1632698350948931e+03,7.7233709350181734e+03,8.3214000821381087e+03,8.9608543578107674e+03,9.6456399693690419e+03,1.0380126182224434e+04,1.1169207619296934e+04,1.2018376354149586e+04,1.2933805500364148e+04,1.3922446333950458e+04,1.4992141391542644e+04,1.6151756481843480e+04,1.7411335152665317e+04,1.8782279898034612e+04,2.0277565303465744e+04,2.1911989456295658e+04,2.3702471347642713e+04,2.5668403734624790e+04,2.7832073108085224e+04,3.0219161141484616e+04,3.2859345435877891e+04,3.5787021726561921e+04,3.9042175244975064e+04,4.2671435985637821e+04,4.6729361677808578e+04,5.1280003925933503e+04,5.6398828094732467e+04,6.2175077197770675e+04,6.8714695828629527e+04,7.6143964136758077e+04,8.4614036864874899e+04,9.4306642506458433e+04,1.0544127825814157e+05,1.1828434543481265e+05,1.3316081844567697e+05,1.5046924411016260e+05,1.7070114982943251e+05,1.9446633212054946e+05,2.2252605006416241e+05,2.5583693378038853e+05,2.9560954491855990e+05,3.4338715950989386e+05,4.0115273725790484e+05,4.7147559062482318e+05,5.5771459552760236e+05,6.6430289147455804e+05,7.9715152578013099e+05,9.6422908702488081e+05,1.1764055605365057e+06,1.4486991610486039e+06,1.8021482934958171e+06,2.2666712778421398e+06,2.8855184060776047e+06,3.7223476676472481e+06,4.8727283431360424e+06,6.4833172952004457e+06,8.7847251189725343e+06,1.2149616556096660e+07,1.7199053728773069e+07,2.5004950295840073e+07,3.7493200892182924e+07,5.8289043496664241e+07,9.4600110587821767e+07,1.6172142322854388e+08,2.9477985513291407e+08,5.8275959596724069e+08,1.2811224756310709e+09,3.2555163800172434e+09,1.0203589936234068e+10,4.4546152283415237e+10,3.5593853336147534e+11,1.2440511005654354e+13};
auto y = std::vector<double>{1.0000000000000000e+00,9.9974827119159260e-01,9.9899333823594216e-01,9.9773596128654229e-01,9.9597740641539767e-01,9.9371944433819714e-01,9.9096434863135330e-01,9.8771489344270358e-01,9.8397435069817818e-01,9.7974648680724874e-01,9.7503555887047266e-01,9.6984631039295421e-01,9.6418396650803628e-01,9.5805422871603474e-01,9.5146326914331070e-01,9.4441772432746174e-01,9.3692468853489252e-01,9.2899170661748853e-01,9.2062676641559060e-01,9.1183829071491640e-01,9.0263512876552932e-01,8.9302654737139375e-01,8.8302222155948906e-01,8.7263222483787739e-01,8.6186701905253504e-01,8.5073744385316064e-01,8.3925470577856609e-01,8.2743036697264261e-01,8.1527633354226126e-01,8.0280484356883330e-01,7.9002845478559913e-01,7.7696003193305518e-01,7.6361273380525119e-01,7.5000000000000000e-01,7.3613553738634141e-01,7.2203330630288709e-01,7.0770750650094327e-01,6.9317256284656426e-01,6.7844311079593589e-01,6.6353398165871091e-01,6.4846018766413749e-01,6.3323690684501754e-01,6.1787946775471370e-01,6.0240333403259538e-01,5.8682408883346526e-01,5.7115741913664253e-01,5.5541909995050553e-01,5.3962497842839419e-01,5.2379095791187114e-01,5.0793298191740410e-01,4.9206701808259601e-01,4.7620904208812886e-01,4.6037502157160570e-01,4.4458090004949447e-01,4.2884258086335747e-01,4.1317591116653485e-01,3.9759666596740473e-01,3.8212053224528653e-01,3.6676309315498246e-01,3.5153981233586262e-01,3.3646601834128931e-01,3.2155688920406411e-01,3.0682743715343574e-01,2.9229249349905673e-01,2.7796669369711291e-01,2.6386446261365870e-01,2.5000000000000011e-01,2.3638726619474881e-01,2.2303996806694482e-01,2.0997154521440098e-01,1.9719515643116681e-01,1.8472366645773874e-01,1.7256963302735751e-01,1.6074529422143402e-01,1.4926255614683925e-01,1.3813298094746496e-01,1.2736777516212272e-01,1.1697777844051105e-01,1.0697345262860636e-01,9.7364871234470685e-02,8.8161709285083711e-02,7.9373233584409508e-02,7.1008293382511578e-02,6.3075311465107475e-02,5.5582275672538373e-02,4.8536730856689414e-02,4.1945771283965261e-02,3.5816033491963717e-02,3.0153689607045897e-02,2.4964441129527337e-02,2.0253513192751260e-02,1.6025649301821820e-02,1.2285106557296421e-02,9.0356513686467022e-03,6.2805556618028557e-03,4.0225935846023297e-03,2.2640387134577056e-03,1.0066617640578368e-03,2.5172880840740319e-04};
auto dy = std::vector<double>{0.0000000000000000e+00,-7.3999371595844077e-06,-1.0885125308371914e-05,-1.3597220808970619e-05,-1.5866551150411331e-05,-1.7819902665284343e-05,-1.9520763478836358e-05,-2.1005749461946276e-05,-2.2298085052640368e-05,-2.3413665171571328e-05,-2.4364147589495579e-05,-2.5158675571450912e-05,-2.5804900098115859e-05,-2.6309614241529549e-05,-2.6679158545683750e-05,-2.6919683792400948e-05,-2.7037320843426949e-05,-2.7038287563456003e-05,-2.6928951742965024e-05,-2.6715862436208407e-05,-2.6405758177133857e-05,-2.6005558057342889e-05,-2.5522340050641461e-05,-2.4963309907651575e-05,-2.4335763220244064e-05,-2.3647042747127655e-05,-2.2904492722924933e-05,-2.2115411595390296e-05,-2.1287004418093588e-05,-2.0426335948708577e-05,-1.9540285352751860e-05,-1.8635503280513317e-05,-1.7718371965338598e-05,-1.6794968880756931e-05,-1.5871034389984696e-05,-1.4951943722833752e-05,-1.4042683521428175e-05,-1.3147833107250046e-05,-1.2271550538051216e-05,-1.1417563444426567e-05,-1.0589164562785643e-05,-9.7892118145618337e-06,-9.0201327212275087e-06,-8.2839328914615512e-06,-7.5822082709853777e-06,-6.9161608073989701e-06,-6.2866171519525200e-06,-5.6940499976100950e-06,-5.1386016379091469e-06,-4.6201093237817336e-06,-4.1381319953567190e-06,-3.6919779723726654e-06,-3.2807331996701589e-06,-2.9032896626858343e-06,-2.5583736112542149e-06,-2.2445732576026304e-06,-1.9603656454254775e-06,-1.7041424205585071e-06,-1.4742342692520553e-06,-1.2689338265935108e-06,-1.0865168945174492e-06,-9.2526184538031582e-07,-7.8346712264067958e-07,-6.5946678422509625e-07,-5.5164406620284641e-07,-4.5844297405522735e-07,-3.7837793580931674e-07,-3.1004157540053121e-07,-2.5211068570392805e-07,-2.0335049867772118e-07,-1.6261736500840046e-07,-1.2885996760736401e-07,-1.0111920240354526e-07,-7.8526866260875655e-08,-6.0303295704924581e-08,-4.5754101666926581e-08,-3.4266144850269695e-08,-2.5302893799396751e-08,-1.8399303504110969e-08,-1.3156346595548847e-08,-9.2353220656037619e-09,-6.3520581413274281e-09,-4.2711166326396071e-09,-2.8000959011453327e-09,-1.7841187207949819e-09,-1.1005798660136944e-09,-6.5421641834692702e-10,-3.7255167914757953e-10,-2.0175136713989462e-10,-1.0291862332984921e-10,-4.8842402655934147e-11,-2.1202265421120003e-11,-8.2215562778103407e-12,-2.7506377556039657e-12,-7.5238960196672799e-13,-1.5375093503868217e-13,-1.9821579477859004e-14,-1.1029940598639417e-15,-7.8914953922914371e-18};
auto test_x = std::vector<double>{4.0101284125160344e+05,3.9763770442538516e+05,3.9430173047557758e+05,3.9100433873957733e+05,3.8774495901645016e+05,3.8452303134528763e+05,3.8133800578895700e+05,3.7818934222309804e+05,3.7507651013021945e+05,3.7199898839876137e+05,3.6895626512698270e+05,3.6594783743154677e+05,3.6297321126067673e+05,3.6003190121175733e+05,3.5712343035326462e+05,3.5424733005090646e+05,3.5140313979786256e+05,3.4859040704901423e+05,3.4580868705905834e+05,3.4305754272440245e+05,3.4033654442874185e+05,3.3764526989222167e+05,3.3498330402408965e+05,3.3235023877874872e+05,3.2974567301512108e+05,3.2716921235923719e+05,3.2462046906996699e+05,3.2209906190781126e+05,3.1960461600667564e+05,3.1713676274854899e+05,3.1469513964101404e+05,3.1227939019751636e+05,3.0988916382032214e+05,3.0752411568609643e+05,3.0518390663403622e+05,3.0286820305649325e+05,3.0057667679202411e+05,2.9830900502080738e+05,2.9606487016236765e+05,2.9384395977555017e+05,2.9164596646068938e+05,2.8947058776391722e+05,2.8731752608355822e+05,2.8518648857856094e+05,2.8307718707891408e+05,2.8098933799800009e+05,2.7892266224683810e+05,2.7687688515017187e+05,2.7485173636435432e+05,2.7284694979699008e+05,2.7086226352828910e+05,2.6889741973409330e+05,2.6695216461053415e+05,2.6502624830028374e+05,2.6311942482035939e+05,2.6123145199144701e+05,2.5936209136870524e+05,2.5751110817401629e+05,2.5567827122965013e+05,2.5386335289330600e+05,2.5206612899450274e+05,2.5028637877228242e+05,2.4852388481420046e+05,2.4677843299656874e+05,2.4504981242592481e+05,2.4333781538169921e+05,2.4164223726005046e+05,2.3996287651884367e+05,2.3829953462374539e+05,2.3665201599540960e+05,2.3502012795772788e+05,2.3340368068712336e+05,2.3180248716286040e+05,2.3021636311835086e+05,2.2864512699343092e+05,2.2708859988759030e+05,2.2554660551412794e+05,2.2401897015521865e+05,2.2250552261786498e+05,2.2100609419071896e+05,2.1952051860175212e+05,2.1804863197675438e+05,2.1659027279864618e+05,2.1514528186758247e+05,2.1371350226183422e+05,2.1229477929942778e+05,2.1088896050052784e+05,2.0949589555054539e+05,2.0811543626395724e+05,2.0674743654881930e+05,2.0539175237196049e+05,2.0404824172484170e+05,2.0271676459006532e+05,2.0139718290852115e+05,2.0008936054715642e+05,1.9879316326735486e+05,1.9750845869391228e+05,1.9623511628459705e+05,1.9497300730028105e+05,1.9372200477563110e+05,1.9248198349034725e+05,1.9125281994093751e+05,1.9003439231301766e+05,1.8882658045412414e+05,1.8762926584703027e+05,1.8644233158355512e+05,1.8526566233885466e+05,1.8409914434618448e+05,1.8294266537212592e+05,1.8179611469226389e+05,1.8065938306730945e+05,1.7953236271965518e+05,1.7841494731035791e+05,1.7730703191653613e+05,1.7620851300917732e+05,1.7511928843134383e+05,1.7403925737677136e+05,1.7296832036885092e+05,1.7190637923998671e+05,1.7085333711132218e+05,1.6980909837282766e+05,1.6877356866374149e+05,1.6774665485335712e+05,1.6672826502215114e+05,1.6571830844324274e+05,1.6471669556418096e+05,1.6372333798905031e+05,1.6273814846089057e+05,1.6176104084442422e+05,1.6079193010908394e+05,1.5983073231233613e+05,1.5887736458329359e+05,1.5793174510661239e+05,1.5699379310666610e+05,1.5606342883199378e+05,1.5514057354001442e+05,1.5422514948200487e+05,1.5331707988833351e+05,1.5241628895394769e+05,1.5152270182410706e+05,1.5063624458036068e+05,1.4975684422676123e+05,1.4888442867631288e+05,1.4801892673764832e+05,1.4716026810193007e+05,1.4630838332997164e+05,1.4546320383957567e+05,1.4462466189308342e+05,1.4379269058513234e+05,1.4296722383061785e+05,1.4214819635285489e+05,1.4133554367193684e+05,1.4052920209328583e+05,1.3972910869639355e+05,1.3893520132374697e+05,1.3814741856993627e+05,1.3736569977094169e+05,1.3658998499359563e+05,1.3582021502521762e+05,1.3505633136341724e+05,1.3429827620606418e+05,1.3354599244141992e+05,1.3279942363843069e+05,1.3205851403717589e+05,1.3132320853947205e+05,1.3059345269962683e+05,1.2986919271534264e+05,1.2915037541876499e+05,1.2843694826767503e+05,1.2772885933682219e+05,1.2702605730939502e+05,1.2632849146862734e+05,1.2563611168953797e+05,1.2494886843080117e+05,1.2426671272674493e+05,1.2358959617947643e+05,1.2291747095113013e+05,1.2225028975623882e+05,1.2158800585422310e+05,1.2093057304199891e+05,1.2027794564670043e+05,1.1963007851851587e+05,1.1898692702363478e+05,1.1834844703730471e+05,1.1771459493699559e+05,1.1708532759566914e+05,1.1646060237515233e+05,1.1584037711961263e+05,1.1522461014913372e+05,1.1461326025338903e+05,1.1400628668541246e+05,1.1340364915546397e+05,1.1280530782498870e+05,1.1221122330066742e+05,1.1162135662855770e+05,1.1103566928832376e+05,1.1045412318755298e+05,1.0987668065615850e+05,1.0930330444086582e+05,1.0873395769978245e+05,1.0816860399704847e+05,1.0760720729756745e+05,1.0704973196181594e+05,1.0649614274073023e+05,1.0594640477066895e+05,1.0540048356845071e+05,1.0485834502646519e+05,1.0431995540785622e+05,1.0378528134177605e+05,1.0325428981870951e+05,1.0272694818586705e+05,1.0220322414264493e+05,1.0168308573615210e+05,1.0116650135680240e+05,1.0065343973397108e+05,1.0014386993171441e+05,9.9637761344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auto test_y = 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auto test_dy = 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Test kr: [ 0.63978215  0.64927715  0.65989324  0.67234106  0.68732324  0.70553759
  0.72770342  0.77968715  0.93422583  1.        ]
test dkr: [   91.46701748    99.02601922   113.8030298    135.77355301   164.89092752
   201.10713927   244.43120847  1117.63788298  1308.02274216     0.        ]

In [ ]: