model_parameters.py

# Copyright (C) 2008 by Jes Frellsen, Ida Moltke and Martin Thiim
# This code is part of the Biopython distribution and governed by its
# license. Please see the LICENSE file that should have been included
# as part of this package.

from numpy import array

#################################################
# Parameters for the 20 Von Mises distributions #
#################################################

# The mean parameters (mu)
angle_mus = \
array([[ 3.54495134],
       [ 2.7128456 ],
       [ 1.67397508],
       [ 3.67269534],
       [ 5.00398034],
       [ 4.33719128],
       [ 5.1750921 ],
       [ 5.03051162],
       [ 1.42501808],
       [ 3.17184663],
       [ 0.99034376],
       [ 0.92521764],
       [ 2.57873053],
       [ 5.14146274],
       [ 3.45323421],
       [ 3.25118223],
       [ 3.59081053],
       [ 3.940963  ],
       [ 3.02828096],
       [ 1.48844185]])

# The concentration parameters (kappa)
angle_kappas = \
array([   1.18420695,    1.71027755,    4.17125563,   59.24947583,
         13.92277433,    5.5766314 ,   65.35858804,   72.74673231,
        338.52216605,    4.14872652,   20.5386044 ,  118.35753241,
         22.9723558 ,    6.02527586,   78.16547085,   44.19262618,
          6.95023602,   10.21467289,   49.74238856,   48.41417442])

#################################################
# Transition probabilities for the hidden state #
#################################################

# Distribution for hidden states in the first slice
#
# The probability for hidden value 'hd' given angle id 'aid' is given by:
#
#    hd0_cpd[aid, hd]

hd0_cpd = \
array([[  1.83520599e-01,   1.00000000e-50,   9.36329588e-02,
          9.73782772e-02,   1.00000000e-50,   1.00000000e-50,
          1.19850187e-01,   1.00000000e-50,   2.99625468e-02,
          1.00000000e-50,   7.11610487e-02,   7.49063670e-02,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          2.88389513e-01,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   4.11985019e-02],
       [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50],
       [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50],
       [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50],
       [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50],
       [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50],
       [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50]])

# Distribution for hidden states in the remaining slices
#
# The probability for hidden value 'hd' given the angle id 'aid' and the
# previous hidden value 'prev_hd' is given by:
#
#    hd0_cpd[aid, prev_hd, hd]

hd1_cpd = \
array([[[  8.66666667e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.33333333e-01,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  9.56521739e-02,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   2.17391304e-03,   1.00000000e-50,
           5.86956522e-01,   1.00000000e-50,   1.00000000e-50,
           1.84782609e-01,   1.00000000e-50,   1.00000000e-50,
           3.69565217e-02,   3.04347826e-02,   6.30434783e-02,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           2.86407767e-01,   1.00000000e-50,   1.00000000e-50,
           2.42718447e-01,   9.22330097e-02,   1.00000000e-50,
           1.00000000e-50,   1.40776699e-01,   1.00000000e-50,
           2.37864078e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   3.15789474e-01,   1.00000000e-50,
           6.84210526e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.25000000e-01,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   8.75000000e-01,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   2.18181818e-01,
           1.00000000e-50,   5.27272727e-01,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.63636364e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   9.09090909e-02,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.90476190e-01,   1.00000000e-50,   1.00000000e-50,
           4.44444444e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   3.65079365e-01,
           1.00000000e-50,   1.00000000e-50]],

       [[  1.00000000e-50,   1.00000000e-50,   3.06451613e-01,
           1.00000000e-50,   2.94930876e-01,   2.76497696e-02,
           3.91705069e-02,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   6.22119816e-02,
           1.00000000e-50,   2.41935484e-01,   1.00000000e-50,
           1.84331797e-02,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   9.21658986e-03],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           2.80487805e-01,   1.00000000e-50,   1.00000000e-50,
           4.87804878e-02,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           7.31707317e-02,   1.00000000e-50,   1.00000000e-50,
           2.43902439e-02,   4.39024390e-01,   1.34146341e-01,
           1.00000000e-50,   1.00000000e-50],
        [  1.76000000e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           4.24000000e-01,   2.80000000e-01,   1.00000000e-50,
           1.20000000e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           7.01754386e-02,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.57894737e-01,   7.71929825e-01],
        [  1.00000000e-50,   1.00000000e-50,   2.85714286e-01,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   7.14285714e-01,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.81818182e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           4.54545455e-02,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   7.72727273e-01,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   8.75000000e-02,   1.00000000e-50,
           6.25000000e-03,   5.00000000e-02,   1.12500000e-01,
           1.00000000e-50,   1.37500000e-01,   1.00000000e-50,
           6.06250000e-01,   1.00000000e-50]],

       [[  5.05084746e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   5.08474576e-02,   2.71186441e-02,
           1.00000000e-50,   1.00000000e-50,   6.77966102e-02,
           1.00000000e-50,   2.71186441e-01,   1.00000000e-50,
           5.76271186e-02,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   2.03389831e-02,
           1.00000000e-50,   1.00000000e-50],
        [  2.84280936e-01,   1.10367893e-01,   1.00000000e-50,
           1.00334448e-02,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           2.20735786e-01,   1.00000000e-50,   1.00000000e-50,
           9.69899666e-02,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00334448e-01,   1.77257525e-01,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   4.87804878e-02,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           7.92682927e-01,   1.00000000e-50,   7.31707317e-02,
           8.53658537e-02,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           5.26315789e-02,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.57894737e-01,
           1.00000000e-50,   7.89473684e-01],
        [  3.28467153e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.02189781e-01,   1.82481752e-01,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           2.48175182e-01,   1.00000000e-50,   1.38686131e-01,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   3.12500000e-01,   1.00000000e-50,
           1.00000000e-50,   6.87500000e-01],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   9.00000000e-01,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50]],

       [[  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   3.33333333e-01,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           6.66666667e-01,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           2.30769231e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           6.15384615e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.53846154e-01],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   2.64900662e-02,   1.00000000e-50,
           1.00000000e-50,   9.73509934e-01,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   8.31946755e-03,   3.76039933e-01,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   6.15640599e-01],
        [  1.00000000e+00,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   8.34914611e-03,   1.00000000e-50,
           1.00000000e-50,   2.84629981e-03,   1.00000000e-50,
           6.54648956e-02,   9.14421252e-01,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   5.69259962e-03,
           1.00000000e-50,   2.46679317e-03,   7.59013283e-04,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50]],

       [[  1.00000000e-50,   1.00000000e-50,   1.55820348e-02,
           1.00000000e-50,   6.59945005e-02,   3.84967919e-02,
           2.12648946e-01,   7.42438130e-02,   1.00000000e-50,
           5.31622365e-02,   1.00000000e-50,   1.00000000e-50,
           3.91384051e-01,   3.84967919e-02,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   5.49954170e-03,
           1.04491292e-01,   1.00000000e-50],
        [  2.38379023e-03,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           8.70083433e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.27532777e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  5.83333333e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   3.33333333e-01,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   8.33333333e-02,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e+00,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e+00,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.33333333e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   8.66666667e-01],
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           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           6.92307692e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.64835165e-01],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e+00,
           1.00000000e-50,   1.00000000e-50],
        [  1.37477585e-02,   1.55409444e-02,   1.00000000e-50,
           1.00000000e-50,   1.08188882e-01,   2.95277944e-01,
           5.61864913e-02,   2.62402869e-01,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.88882247e-01,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   3.34728033e-02,
           1.00000000e-50,   2.63000598e-02],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e+00,   1.00000000e-50]],

       [[  1.00000000e+00,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           5.52486188e-02,   1.00000000e-50,   1.00000000e-50,
           3.31491713e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   2.65193370e-01,   2.15469613e-01,
           1.32596685e-01,   1.00000000e-50],
        [  1.00000000e-50,   8.89521437e-04,   1.42323430e-03,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   3.46913361e-02,   9.61038961e-01,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.95694716e-03,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.60714286e-01,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   8.39285714e-01],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   8.33333333e-02,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   5.83333333e-01,   1.00000000e-50,
           1.00000000e-50,   3.33333333e-01],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e+00,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   5.51601423e-02,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   2.02846975e-01,
           1.00000000e-50,   5.33807829e-03,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           7.36654804e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50]],

       [[  2.35849057e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           3.77358491e-02,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   6.60377358e-01,   6.60377358e-02,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.81818182e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           4.54545455e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           3.63636364e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   5.57142857e-01,   1.42857143e-02,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           4.28571429e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           7.41935484e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   2.58064516e-01],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.38989170e-01,
           1.00000000e-50,   1.80505415e-03,   1.38387485e-02,
           1.20336943e-02,   1.50421179e-02,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           2.10589651e-02,   1.81107100e-01,   5.94464501e-01,
           1.14320096e-02,   1.02286402e-02],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           3.80952381e-01,   1.00000000e-50,   1.00000000e-50,
           6.19047619e-01,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50],
        [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
           1.00000000e-50,   1.00000000e-50]]])

#######################################
# Transition probabilities angle node #
#######################################

# Distribution for angle node in the first slice

angleId0_cpd = \
array([  1.00000000e+00,   1.00000000e-50,   1.00000000e-50,
         1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
         1.00000000e-50])

# The transition matrix for the angle node in the following slices

angleId1_cpd = \
array([[  1.00000000e-50,   1.00000000e+00,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50],
       [  1.00000000e-50,   1.00000000e-50,   1.00000000e+00,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50],
       [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e+00],
       [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e+00,   1.00000000e-50,
          1.00000000e-50],
       [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e+00,
          1.00000000e-50],
       [  1.00000000e+00,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50],
       [  1.00000000e-50,   1.00000000e-50,   1.00000000e-50,
          1.00000000e+00,   1.00000000e-50,   1.00000000e-50,
          1.00000000e-50]])