This folder conatains the most recent (3 May 2015) single-scattering adjoint calculations from frank.
This has the log output files (.log), radiance output files (.arad), and optical property adjoint files (.adj) for the "true" and "guess" cases. The first set of output is for the single scattering forward radiance calculations
les0822nh15t13y135_ocaer1_w0.646_ns1true.*,
les0822nh15t13y135_ocaer1_w0.646_ns1guess.*,
and the second set of outputs is for the full multiple scattering forward radiance calculations,
les0822nh15t13y135_ocaer1_w0.646_ns1true2.*,
les0822nh15t13y135_ocaer1_w0.646_ns1guess2.*.
The cloud field used in these simulations is a 2D slice taken at $y_{(i_y=135)}=8.375 \mathrm{km}$ of the 320x320 high resolution simulation shown below.
The adjoint calculation is for the gradient of the misfit function,
\begin{align} \frac{\partial \Phi(\sigma, \omega)}{\partial(\sigma)} &= \left< \Delta p, \mathcal{U}_{\sigma}[\Delta f] \right> \end{align}Only the first order of scattering completed so the results are approximate. In the calculation labelled "1" the forward and adjoint calculations are only single-scattering. In the calculation labelled "2", the Forward calculation includes multiple scatterng while the adjoint does not.
In [1]:
%pylab inline
# Imports
import numpy as np
import matplotlib.pyplot as plt
from matplotlib import cm
import pandas as pd
Populating the interactive namespace from numpy and matplotlib
In [ ]:
In [2]:
# Utility functions
def print_head(fname, Nlines=10, indent="\t"):
"Print the head of the file."
# Print a message and then the first N lines
print("Showing head: {}".format(fname))
for i, line in zip(range(Nlines), open(fname, 'r')):
print(indent + line.strip())
print('\n')
def read_log(flog, start_line="X Z Extinct", max_lines=10**8):
"""
Read in a log file but save lines only after reaching a line
matching start_line.
"""
# Loop over lines record after header and before footer
ncols = None
lines = []
for i, line in zip(range(max_lines), open(flog, 'r')):
new = line.strip().split()
# Check if the line is the header
if ncols is None:
if line.strip()[:len(start_line)]==start_line:
ncols = len(new[:9])
cols = new[:9]
else:
if ncols == len(new[:9]):
lines.append(new[:9])
else:
print(new)
break
# Raise an error if the file had no line with the specified columns
if ncols is None:
raise ValueError("No column line found containing {}".format(start_line))
# Make dictionary of arrays from keys array with given lines
N = len(lines) - 1
value_array = np.array(lines[:], dtype='f8')
log_dict = dict(zip(cols, list(value_array.T)))
return log_dict
In [3]:
ls
exploring_adjoint.ipynb
les0822nh15t13_aer008_w0.646a_idir01.jpg
les0822nh15t13_aer008_w0.646a_idir01.png
les0822nh15t13y135_ocaer1_w0.646_ns1guess2.adj
les0822nh15t13y135_ocaer1_w0.646_ns1guess2.arad
les0822nh15t13y135_ocaer1_w0.646_ns1guess2.log
les0822nh15t13y135_ocaer1_w0.646_ns1guess.adj
les0822nh15t13y135_ocaer1_w0.646_ns1guess.arad
les0822nh15t13y135_ocaer1_w0.646_ns1guess.log
les0822nh15t13y135_ocaer1_w0.646_ns1true2.adj
les0822nh15t13y135_ocaer1_w0.646_ns1true2.arad
les0822nh15t13y135_ocaer1_w0.646_ns1true2.log
les0822nh15t13y135_ocaer1_w0.646_ns1true.adj
les0822nh15t13y135_ocaer1_w0.646_ns1true.arad
les0822nh15t13y135_ocaer1_w0.646_ns1true.log
In [4]:
# The log file
flog = "les0822nh15t13y135_ocaer1_w0.646_ns1true.log"
print_head(flog, Nlines=10)
# The radiance file
frad = "les0822nh15t13y135_ocaer1_w0.646_ns1true.arad"
print_head(frad, Nlines=25)
# The adjoint file
fadj_true = "les0822nh15t13y135_ocaer1_w0.646_ns1true.adj"
fadj = "les0822nh15t13y135_ocaer1_w0.646_ns1guess.adj"
print_head(fadj, Nlines=5000)
# The adjoint Radiance file
farad = "les0822nh15t13y135_ocaer1_w0.646_ns1guess.arad"
farad_true = "les0822nh15t13y135_ocaer1_w0.646_ns1true.arad"
print_head(farad, Nlines=35)
Showing head: les0822nh15t13y135_ocaer1_w0.646_ns1true.log
Name of this SHDOMADJ run:
les0822nh15t13y135_ocaer1_w0.646_ns1true
Input particle properties filename (or NONE for Rayleigh only)
les0822nh15t13y135_ocaer1t.part
Number of input scattering tables
2
Name of each scattering table
water_w0.646.scat
aero_oc_w0.646.scat
Showing head: les0822nh15t13y135_ocaer1_w0.646_ns1true.arad
! Polarized Spherical Harmonic Discrete Ordinate Radiative Transfer Radiance Output
! L= 15 M= 15 NLM= 256 NMU= 16 NPHI= 32 NANG= 354 NSH= 1492984
! NSTOKES=1 NX= 320 NY= 1 NZ= 86 NPTS= 27606 NCELLS= 27200
! PARTICLE_FILE=les0822nh15t13y135_ocaer1t.part
! CORRELATED_K-DIST_FILE=NONE NUM_G= 1
! SOURCE_TYPE=SOLAR DELTA-M METHOD
! GRID_TYPE=EVEN (X,Y) PROPERTY-FILE (Z) INDEPENDENT_PIXEL=2
! SURFACE_TYPE=FIXED LAMBERTIAN HORIZ_BOUNDARY_COND=0
! GROUND_ALBEDO=0.0500000 SKY_RAD= 0.00000E+00
! SOLAR_FLUX= 0.100000E+01 SOLAR_MU=-0.9221000 SOLAR_AZ= 339.400
! UNITS=WATTS/(M^2 MICRON STER) WAVELENGTH= 0.65
! SPLITTING_ACCURACY= 0.300E-01 SPHERICAL_HARMONIC_ACCURACY= 0.300E-02
! SOLUTION_ACCURACY= 0.300E-04
! MAXIMUM_ITERATIONS= 0 NUMBER_ITERATIONS= 0
! RADIANCE AT Z= 15.000
320 1 1 ! NXOUT, NYOUT, NRADDIR
! ID mu phi
! 1 1.0000000 0.00
! ID IY IX RADIANCE (STOKES I, Q, U, V)
1 1 1 0.109952E-01
1 1 2 0.114856E-01
1 1 3 0.688477E-02
1 1 4 0.103502E-01
1 1 5 0.113721E-01
1 1 6 0.124199E-01
Showing head: les0822nh15t13y135_ocaer1_w0.646_ns1guess.adj
! SHDOMADJ optical property adjoint output
! X Y Z Extinct SSalbedo dMF/dExt dMF/dSSalb dMF/dP(Theta_j) [MF=misfit function]
0.0000 0.0000 -0.0087 0.07041 0.970492 0.000E+00 0.000E+00 0.000E+00
0.0000 0.0000 0.0095 0.07018 0.970491 0.000E+00 0.000E+00 0.000E+00
0.0000 0.0000 0.0315 0.06990 0.970494 0.000E+00 0.000E+00 0.000E+00
0.0000 0.0000 0.0574 0.06957 0.970495 0.000E+00 0.000E+00 0.000E+00
0.0000 0.0000 0.0878 0.06917 0.970498 0.000E+00 0.000E+00 0.000E+00
0.0000 0.0000 0.1245 0.06869 0.970499 0.000E+00 0.000E+00 0.000E+00
0.0000 0.0000 0.1650 0.06818 0.970501 0.000E+00 0.000E+00 0.000E+00
0.0000 0.0000 0.2050 0.06769 0.970506 0.000E+00 0.000E+00 0.000E+00
0.0000 0.0000 0.2450 0.06718 0.970509 0.000E+00 0.000E+00 0.000E+00
0.0000 0.0000 0.2850 0.06663 0.970513 0.000E+00 0.000E+00 0.000E+00
0.0000 0.0000 0.3250 0.06613 0.970515 0.000E+00 0.000E+00 0.000E+00
0.0000 0.0000 0.3650 0.06562 0.970518 0.000E+00 0.000E+00 0.000E+00
0.0000 0.0000 0.4050 0.06511 0.970521 0.000E+00 0.000E+00 0.000E+00
0.0000 0.0000 0.4450 0.06461 0.970527 0.000E+00 0.000E+00 0.000E+00
0.0000 0.0000 0.4850 11.09725 0.999828 0.000E+00 0.000E+00 0.000E+00
0.0000 0.0000 0.5250 21.68839 0.999912 0.000E+00 0.000E+00 0.000E+00
0.0000 0.0000 0.5650 30.88556 0.999937 -2.674E-16 1.669E-13 0.000E+00
0.0000 0.0000 0.6050 38.42794 0.999949 1.993E-13 1.094E-09 6.842E-08
0.0000 0.0000 0.6450 40.07663 0.999951 -3.584E-13 7.341E-09 3.859E-07
0.0000 0.0000 0.6850 25.42399 0.999926 -3.231E-12 1.077E-08 4.848E-07
0.0000 0.0000 0.7250 0.06103 0.970548 -1.361E-11 1.852E-11 8.022E-10
0.0000 0.0000 0.7650 0.06053 0.970551 -1.731E-11 6.958E-12 3.009E-10
0.0000 0.0000 0.8050 0.06002 0.970555 -1.653E-11 2.550E-12 1.101E-10
0.0000 0.0000 0.8450 0.05952 0.970558 -1.543E-11 1.033E-12 4.450E-11
0.0000 0.0000 0.8850 0.05902 0.970565 -1.542E-11 4.855E-13 2.087E-11
0.0000 0.0000 0.9250 0.05849 0.970571 -1.557E-11 2.469E-13 1.059E-11
0.0000 0.0000 0.9650 6.39015 0.999731 -9.704E-12 9.661E-10 7.106E-10
0.0000 0.0000 1.0050 21.44092 0.999919 -8.871E-12 3.723E-09 2.460E-09
0.0000 0.0000 1.0450 36.08437 0.999951 -8.672E-12 6.589E-09 8.751E-09
0.0000 0.0000 1.0850 25.62770 0.999932 -8.833E-12 4.764E-09 1.531E-08
0.0000 0.0000 1.1250 14.35516 0.999883 -9.170E-12 2.698E-09 1.540E-08
0.0000 0.0000 1.1650 30.77838 0.999944 -9.039E-12 7.013E-09 7.490E-08
0.0000 0.0000 1.2050 45.31928 0.999961 -1.115E-11 2.019E-08 5.299E-07
0.0000 0.0000 1.2450 55.80237 0.999969 -4.179E-11 1.547E-07 5.892E-06
0.0000 0.0000 1.2850 60.67753 0.999971 -4.819E-10 2.159E-06 8.660E-05
0.0000 0.0000 1.3250 58.10901 0.999970 -5.284E-09 2.746E-05 1.178E-03
0.0000 0.0000 1.3650 54.40786 0.999969 -4.675E-08 2.942E-04 1.346E-02
0.0000 0.0000 1.4050 46.13528 0.999964 -1.720E-07 1.978E-03 1.003E-01
0.0000 0.0000 1.4450 0.05200 0.970655 1.923E-06 7.107E-06 2.962E-04
0.0000 0.0000 1.4850 0.05150 0.970663 2.260E-06 7.366E-06 3.062E-04
0.0000 0.0000 1.5250 0.05101 0.970671 2.471E-06 7.345E-06 3.046E-04
0.0000 0.0000 1.5650 0.05053 0.970682 2.594E-06 7.324E-06 3.030E-04
0.0000 0.0000 1.6050 0.05000 0.970693 2.500E-06 7.299E-06 3.011E-04
0.0000 0.0000 1.6450 0.04951 0.970703 2.495E-06 7.322E-06 3.013E-04
0.0000 0.0000 1.6855 0.04902 0.970712 2.280E-06 6.999E-06 2.872E-04
0.0000 0.0000 1.7222 0.04856 0.970720 1.722E-06 6.064E-06 2.482E-04
0.0000 0.0000 1.7526 0.04818 0.970729 1.227E-06 5.029E-06 2.054E-04
0.0000 0.0000 1.7780 0.04786 0.970735 8.745E-07 4.191E-06 1.709E-04
0.0000 0.0000 1.7992 0.04762 0.970741 6.833E-07 3.681E-06 1.499E-04
0.0000 0.0000 1.8190 0.04738 0.970748 6.501E-07 3.567E-06 1.451E-04
0.0000 0.0000 1.8390 0.04713 0.970752 6.641E-07 3.579E-06 1.453E-04
0.0000 0.0000 1.8590 0.04689 0.970759 6.763E-07 3.573E-06 1.448E-04
0.0000 0.0000 1.8790 0.04664 0.970763 6.923E-07 3.566E-06 1.444E-04
0.0000 0.0000 1.8990 0.04640 0.970770 7.194E-07 3.559E-06 1.439E-04
0.0000 0.0000 1.9190 0.04616 0.970777 7.496E-07 3.553E-06 1.434E-04
0.0000 0.0000 1.9390 0.04591 0.970781 7.737E-07 3.546E-06 1.429E-04
0.0000 0.0000 1.9590 0.04567 0.970789 7.952E-07 3.539E-06 1.425E-04
0.0000 0.0000 1.9790 0.04539 0.970796 8.174E-07 3.531E-06 1.419E-04
0.0000 0.0000 1.9990 0.04515 0.970803 8.383E-07 3.524E-06 1.414E-04
0.0000 0.0000 2.0190 0.04490 0.970808 8.482E-07 3.499E-06 1.402E-04
0.0000 0.0000 2.0388 0.04466 0.970816 9.157E-07 3.598E-06 1.439E-04
0.0000 0.0000 2.0600 0.04442 0.970824 1.186E-06 4.082E-06 1.630E-04
0.0000 0.0000 2.0854 0.04411 0.970832 1.710E-06 4.874E-06 1.942E-04
0.0000 0.0000 2.1158 0.04373 0.970845 2.524E-06 5.842E-06 2.322E-04
0.0000 0.0000 2.1525 0.04328 0.970857 3.409E-06 6.695E-06 2.653E-04
0.0000 0.0000 2.1930 0.04279 0.970872 3.772E-06 6.950E-06 2.745E-04
0.0000 0.0000 2.2330 0.04231 0.970887 3.768E-06 6.876E-06 2.707E-04
0.0000 0.0000 2.2730 0.04184 0.970906 3.782E-06 6.845E-06 2.686E-04
0.0000 0.0000 2.3130 0.04135 0.970922 3.758E-06 6.812E-06 2.664E-04
0.0000 0.0000 2.3530 0.04084 0.970941 3.601E-06 6.776E-06 2.640E-04
0.0000 0.0000 2.3930 0.04035 0.970957 3.389E-06 6.741E-06 2.618E-04
0.0000 0.0000 2.4330 0.03987 0.970972 3.176E-06 6.705E-06 2.595E-04
0.0000 0.0000 2.4730 0.03939 0.970988 3.033E-06 6.668E-06 2.572E-04
0.0000 0.0000 2.5130 0.03891 0.971006 3.165E-06 6.629E-06 2.550E-04
0.0000 0.0000 2.5530 0.03842 0.971021 3.397E-06 6.589E-06 2.526E-04
0.0000 0.0000 2.5930 0.03794 0.971037 3.656E-06 6.548E-06 2.502E-04
0.0000 0.0000 2.6330 0.03746 0.971054 3.969E-06 6.507E-06 2.478E-04
0.0000 0.0000 2.6730 0.03694 0.971076 4.231E-06 6.463E-06 2.452E-04
0.0000 0.0000 2.7130 0.03646 0.971096 4.606E-06 6.423E-06 2.427E-04
0.0000 0.0000 2.7530 0.03600 0.971120 5.163E-06 6.383E-06 2.403E-04
0.0000 0.0000 2.7930 0.03552 0.971144 5.710E-06 6.344E-06 2.379E-04
0.0000 0.0000 2.8330 0.03505 0.971170 1.291E-03 9.626E-05 3.593E-03
0.0000 0.0000 4.0000 0.01827 0.973236 9.878E-03 1.866E-04 5.216E-03
0.0000 0.0000 6.0000 0.01108 0.974602 2.181E-02 1.830E-04 4.230E-03
0.0000 0.0000 8.0000 0.00503 0.981838 1.913E-01 2.918E-04 4.532E-03
0.0000 0.0000 15.0000 0.00107 1.000000 2.429E-01 8.658E-05 7.931E-04
0.0625 0.0000 -0.0087 0.07041 0.970492 0.000E+00 0.000E+00 0.000E+00
0.0625 0.0000 0.0095 0.07018 0.970491 0.000E+00 0.000E+00 0.000E+00
0.0625 0.0000 0.0315 0.06990 0.970494 0.000E+00 0.000E+00 0.000E+00
0.0625 0.0000 0.0574 0.06957 0.970495 0.000E+00 0.000E+00 0.000E+00
0.0625 0.0000 0.0878 0.06917 0.970498 0.000E+00 0.000E+00 0.000E+00
0.0625 0.0000 0.1245 0.06869 0.970499 0.000E+00 0.000E+00 0.000E+00
0.0625 0.0000 0.1650 0.06818 0.970501 0.000E+00 0.000E+00 0.000E+00
0.0625 0.0000 0.2050 0.06769 0.970506 0.000E+00 0.000E+00 0.000E+00
0.0625 0.0000 0.2450 0.06718 0.970509 0.000E+00 0.000E+00 0.000E+00
0.0625 0.0000 0.2850 0.06663 0.970513 0.000E+00 0.000E+00 0.000E+00
0.0625 0.0000 0.3250 0.06613 0.970515 0.000E+00 0.000E+00 0.000E+00
0.0625 0.0000 0.3650 0.06562 0.970518 0.000E+00 0.000E+00 0.000E+00
0.0625 0.0000 0.4050 0.06511 0.970521 0.000E+00 0.000E+00 0.000E+00
0.0625 0.0000 0.4450 0.06461 0.970527 0.000E+00 0.000E+00 0.000E+00
0.0625 0.0000 0.4850 10.55373 0.999819 -1.658E-17 3.007E-15 0.000E+00
0.0625 0.0000 0.5250 20.48455 0.999907 -1.447E-16 5.690E-14 0.000E+00
0.0625 0.0000 0.5650 29.61823 0.999934 3.695E-15 9.798E-12 6.431E-10
0.0625 0.0000 0.6050 37.47793 0.999948 -6.671E-15 4.340E-11 2.085E-09
0.0625 0.0000 0.6450 41.16006 0.999953 -3.831E-14 1.138E-10 4.444E-09
0.0625 0.0000 0.6850 37.14263 0.999948 -9.171E-14 2.216E-10 8.255E-09
0.0625 0.0000 0.7250 8.14175 0.999777 -1.636E-13 6.638E-11 2.210E-09
0.0625 0.0000 0.7650 0.06053 0.970551 -3.880E-13 2.324E-13 1.005E-11
0.0625 0.0000 0.8050 0.06002 0.970555 -4.701E-13 1.168E-13 5.040E-12
0.0625 0.0000 0.8450 0.05952 0.970558 -5.165E-13 6.240E-14 2.687E-12
0.0625 0.0000 0.8850 0.05902 0.970565 -5.282E-13 3.686E-14 1.585E-12
0.0625 0.0000 0.9250 0.05849 0.970571 -4.759E-13 2.392E-14 1.026E-12
0.0625 0.0000 0.9650 0.05799 0.970575 -4.126E-13 1.690E-14 7.236E-13
0.0625 0.0000 1.0050 18.18931 0.999905 -2.049E-13 7.535E-11 2.573E-10
0.0625 0.0000 1.0450 36.21805 0.999951 -1.919E-13 1.660E-10 1.262E-09
0.0625 0.0000 1.0850 32.94015 0.999947 -2.741E-13 2.572E-10 3.966E-09
0.0625 0.0000 1.1250 25.62721 0.999933 -9.055E-13 6.460E-10 9.927E-09
0.0625 0.0000 1.1650 41.58160 0.999958 -9.809E-12 9.881E-09 7.604E-08
0.0625 0.0000 1.2050 54.94136 0.999968 -2.287E-10 2.872E-07 1.061E-06
0.0625 0.0000 1.2450 58.40377 0.999970 -4.814E-09 6.382E-06 1.970E-05
0.0625 0.0000 1.2850 47.81485 0.999964 -3.266E-08 3.760E-05 2.585E-04
0.0625 0.0000 1.3250 31.83183 0.999948 -9.731E-08 9.075E-05 1.506E-03
0.0625 0.0000 1.3650 29.03940 0.999943 -1.712E-07 2.344E-04 7.207E-03
0.0625 0.0000 1.4050 27.61880 0.999941 -2.564E-07 6.569E-04 2.750E-02
0.0625 0.0000 1.4450 0.05200 0.970655 -1.596E-07 2.286E-06 9.527E-05
0.0625 0.0000 1.4850 0.05150 0.970663 -1.989E-07 2.336E-06 9.710E-05
0.0625 0.0000 1.5250 0.05101 0.970671 -2.350E-07 2.329E-06 9.659E-05
0.0625 0.0000 1.5650 0.05053 0.970682 -2.474E-07 2.322E-06 9.608E-05
0.0625 0.0000 1.6050 0.05000 0.970693 -1.727E-07 2.315E-06 9.548E-05
0.0625 0.0000 1.6450 0.04951 0.970703 -1.350E-07 2.322E-06 9.553E-05
0.0625 0.0000 1.6855 0.04902 0.970712 -8.527E-08 2.219E-06 9.108E-05
0.0625 0.0000 1.7222 0.04856 0.970720 -1.433E-09 1.923E-06 7.871E-05
0.0625 0.0000 1.7526 0.04818 0.970729 7.300E-08 1.595E-06 6.514E-05
0.0625 0.0000 1.7780 0.04786 0.970735 9.202E-08 1.329E-06 5.418E-05
0.0625 0.0000 1.7992 0.04762 0.970741 9.331E-08 1.167E-06 4.753E-05
0.0625 0.0000 1.8190 0.04738 0.970748 1.069E-07 1.131E-06 4.600E-05
0.0625 0.0000 1.8390 0.04713 0.970752 1.264E-07 1.135E-06 4.608E-05
0.0625 0.0000 1.8590 0.04689 0.970759 1.421E-07 1.133E-06 4.593E-05
0.0625 0.0000 1.8790 0.04664 0.970763 1.548E-07 1.131E-06 4.578E-05
0.0625 0.0000 1.8990 0.04640 0.970770 1.554E-07 1.129E-06 4.563E-05
0.0625 0.0000 1.9190 0.04616 0.970777 1.534E-07 1.127E-06 4.548E-05
0.0625 0.0000 1.9390 0.04591 0.970781 1.606E-07 1.124E-06 4.532E-05
0.0625 0.0000 1.9590 0.04567 0.970789 1.707E-07 1.122E-06 4.518E-05
0.0625 0.0000 1.9790 0.04539 0.970796 1.782E-07 1.120E-06 4.498E-05
0.0625 0.0000 1.9990 0.04515 0.970803 1.845E-07 1.118E-06 4.483E-05
0.0625 0.0000 2.0190 0.04490 0.970808 1.882E-07 1.110E-06 4.444E-05
0.0625 0.0000 2.0388 0.04466 0.970816 2.050E-07 1.141E-06 4.563E-05
0.0625 0.0000 2.0600 0.04442 0.970824 2.682E-07 1.294E-06 5.169E-05
0.0625 0.0000 2.0854 0.04411 0.970832 3.861E-07 1.546E-06 6.160E-05
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3.1875 0.0000 0.2850 0.06663 0.970513 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 0.3250 0.06613 0.970515 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 0.3650 0.06562 0.970518 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 0.4050 0.06511 0.970521 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 0.4450 0.06461 0.970527 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 0.4850 0.06410 0.970529 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 0.5250 0.06359 0.970531 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 0.5650 0.06308 0.970533 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 0.6050 0.06254 0.970537 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 0.6450 0.06203 0.970540 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 0.6850 0.06154 0.970545 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 0.7250 0.06103 0.970548 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 0.7650 0.06053 0.970551 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 0.8050 0.06002 0.970555 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 0.8450 0.05952 0.970558 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 0.8850 4.81473 0.999638 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 0.9250 17.13744 0.999898 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 0.9650 24.80648 0.999929 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 1.0050 30.53996 0.999942 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 1.0450 35.22538 0.999949 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 1.0850 39.88834 0.999955 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 1.1250 42.26839 0.999958 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 1.1650 45.96631 0.999962 0.000E+00 0.000E+00 0.000E+00
3.1875 0.0000 1.2050 53.39463 0.999968 -6.698E-27 7.619E-24 0.000E+00
3.1875 0.0000 1.2450 57.71948 0.999969 -2.562E-25 3.170E-22 0.000E+00
3.1875 0.0000 1.2850 56.63273 0.999969 -8.221E-24 9.966E-21 0.000E+00
3.1875 0.0000 1.3250 53.15542 0.999968 -3.793E-22 4.430E-19 7.635E-19
3.1875 0.0000 1.3650 50.64383 0.999967 -2.824E-20 3.054E-17 1.177E-17
3.1875 0.0000 1.4050 53.30567 0.999969 -2.156E-18 2.452E-15 2.535E-16
3.1875 0.0000 1.4450 49.42793 0.999966 -6.999E-17 7.334E-14 6.575E-15
3.1875 0.0000 1.4850 38.38552 0.999958 -3.769E-16 3.016E-13 1.349E-13
3.1875 0.0000 1.5250 19.69437 0.999922 -7.645E-16 3.087E-13 1.091E-12
3.1875 0.0000 1.5650 17.77866 0.999915 1.849E-16 1.169E-13 9.243E-12
3.1875 0.0000 1.6050 18.67565 0.999920 6.116E-15 -5.933E-13 8.167E-11
3.1875 0.0000 1.6450 20.04476 0.999926 -1.475E-14 2.116E-11 8.098E-10
3.1875 0.0000 1.6855 13.16324 0.999889 -3.066E-13 1.542E-10 4.011E-09
3.1875 0.0000 1.7222 0.04856 0.970720 -1.482E-12 1.335E-12 5.464E-11
3.1875 0.0000 1.7526 0.04818 0.970729 -1.689E-12 2.831E-12 1.156E-10
3.1875 0.0000 1.7780 0.04786 0.970735 -1.119E-12 4.670E-12 1.904E-10
3.1875 0.0000 1.7992 0.04762 0.970741 -5.186E-13 6.582E-12 2.680E-10
3.1875 0.0000 1.8190 0.04738 0.970748 7.685E-14 9.111E-12 3.705E-10
3.1875 0.0000 1.8390 0.04713 0.970752 7.863E-13 1.201E-11 4.876E-10
3.1875 0.0000 1.8590 0.04689 0.970759 1.747E-12 1.456E-11 5.903E-10
3.1875 0.0000 1.8790 16.38512 0.999915 8.380E-13 5.181E-09 2.926E-07
3.1875 0.0000 1.8990 24.23043 0.999942 1.053E-12 1.340E-08 7.609E-07
3.1875 0.0000 1.9190 30.19965 0.999952 4.900E-13 3.549E-08 1.937E-06
3.1875 0.0000 1.9390 35.96537 0.999960 -3.330E-12 1.031E-07 5.340E-06
3.1875 0.0000 1.9590 41.91821 0.999965 -2.004E-11 3.312E-07 1.629E-05
3.1875 0.0000 1.9790 49.34666 0.999970 -9.510E-11 1.237E-06 5.782E-05
3.1875 0.0000 1.9990 55.49739 0.999974 -4.258E-10 5.055E-06 2.273E-04
3.1875 0.0000 2.0190 57.90962 0.999974 -1.602E-09 2.000E-05 9.024E-04
3.1875 0.0000 2.0388 50.87430 0.999972 -5.083E-09 6.402E-05 2.976E-03
3.1875 0.0000 2.0600 41.94394 0.999966 -1.590E-08 1.901E-04 9.142E-03
3.1875 0.0000 2.0854 22.44921 0.999941 -2.154E-08 3.009E-04 1.510E-02
3.1875 0.0000 2.1158 0.04373 0.970845 1.828E-07 1.280E-06 5.088E-05
3.1875 0.0000 2.1525 0.04328 0.970857 2.448E-07 1.487E-06 5.894E-05
3.1875 0.0000 2.1930 0.04279 0.970872 3.090E-07 1.544E-06 6.099E-05
3.1875 0.0000 2.2330 0.04231 0.970887 4.598E-07 1.528E-06 6.014E-05
3.1875 0.0000 2.2730 0.04184 0.970906 6.393E-07 1.521E-06 5.968E-05
3.1875 0.0000 2.3130 0.04135 0.970922 8.025E-07 1.513E-06 5.919E-05
3.1875 0.0000 2.3530 0.04084 0.970941 9.380E-07 1.505E-06 5.866E-05
3.1875 0.0000 2.3930 0.04035 0.970957 9.901E-07 1.498E-06 5.816E-05
3.1875 0.0000 2.4330 0.03987 0.970972 9.688E-07 1.490E-06 5.766E-05
3.1875 0.0000 2.4730 0.03939 0.970988 8.727E-07 1.481E-06 5.715E-05
3.1875 0.0000 2.5130 0.03891 0.971006 6.423E-07 1.473E-06 5.664E-05
3.1875 0.0000 2.5530 0.03842 0.971021 2.583E-07 1.464E-06 5.612E-05
3.1875 0.0000 2.5930 0.03794 0.971037 -1.197E-07 1.455E-06 5.559E-05
3.1875 0.0000 2.6330 0.03746 0.971054 -3.963E-07 1.446E-06 5.505E-05
3.1875 0.0000 2.6730 0.03694 0.971076 -4.852E-07 1.436E-06 5.447E-05
3.1875 0.0000 2.7130 0.03646 0.971096 -3.805E-07 1.427E-06 5.393E-05
3.1875 0.0000 2.7530 0.03600 0.971120 -2.532E-07 1.418E-06 5.340E-05
3.1875 0.0000 2.7930 0.03552 0.971144 -1.442E-07 1.409E-06 5.285E-05
3.1875 0.0000 2.8330 0.03505 0.971170 4.933E-05 2.139E-05 7.983E-04
3.1875 0.0000 4.0000 0.01827 0.973236 8.369E-05 4.145E-05 1.159E-03
3.1875 0.0000 6.0000 0.01108 0.974602 2.952E-03 4.066E-05 9.397E-04
3.1875 0.0000 8.0000 0.00503 0.981838 3.334E-02 6.483E-05 1.007E-03
3.1875 0.0000 15.0000 0.00107 1.000000 4.712E-02 1.923E-05 1.762E-04
3.2500 0.0000 -0.0087 0.07041 0.970492 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.0095 0.07018 0.970491 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.0315 0.06990 0.970494 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.0574 0.06957 0.970495 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.0878 0.06917 0.970498 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.1245 0.06869 0.970499 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.1650 0.06818 0.970501 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.2050 0.06769 0.970506 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.2450 0.06718 0.970509 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.2850 0.06663 0.970513 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.3250 0.06613 0.970515 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.3650 0.06562 0.970518 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.4050 0.06511 0.970521 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.4450 0.06461 0.970527 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.4850 0.06410 0.970529 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.5250 0.06359 0.970531 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.5650 0.06308 0.970533 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.6050 0.06254 0.970537 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.6450 0.06203 0.970540 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.6850 0.06154 0.970545 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.7250 0.06103 0.970548 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.7650 0.06053 0.970551 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.8050 0.06002 0.970555 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.8450 0.05952 0.970558 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.8850 10.22971 0.999829 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.9250 19.90930 0.999912 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 0.9650 25.31588 0.999930 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 1.0050 29.23944 0.999939 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 1.0450 33.17757 0.999946 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 1.0850 36.65799 0.999952 0.000E+00 0.000E+00 0.000E+00
3.2500 0.0000 1.1250 41.01514 0.999957 1.483E-28 -1.266E-25 0.000E+00
3.2500 0.0000 1.1650 48.40951 0.999963 1.063E-26 -1.087E-23 0.000E+00
3.2500 0.0000 1.2050 54.79599 0.999968 5.375E-25 -3.123E-22 1.776E-20
3.2500 0.0000 1.2450 55.72293 0.999969 2.195E-23 -1.590E-20 5.757E-19
3.2500 0.0000 1.2850 55.70457 0.999969 1.206E-21 -1.112E-18 1.822E-17
3.2500 0.0000 1.3250 57.12713 0.999970 1.345E-19 -1.487E-16 8.910E-16
3.2500 0.0000 1.3650 60.85736 0.999971 1.832E-17 -2.277E-14 6.991E-14
3.2500 0.0000 1.4050 58.79543 0.999971 1.244E-15 -1.476E-12 5.331E-12
3.2500 0.0000 1.4450 35.42874 0.999954 7.807E-15 -3.008E-12 1.447E-10
3.2500 0.0000 1.4850 0.05150 0.970663 7.442E-14 6.913E-14 2.874E-12
3.2500 0.0000 1.5250 0.05101 0.970671 3.129E-13 4.019E-13 1.667E-11
3.2500 0.0000 1.5650 0.05053 0.970682 1.185E-12 2.045E-12 8.460E-11
3.2500 0.0000 1.6050 0.05000 0.970693 4.757E-12 8.566E-12 3.534E-10
3.2500 0.0000 1.6450 2.33618 0.999378 9.569E-12 8.593E-10 5.323E-08
3.2500 0.0000 1.6855 9.34873 0.999845 1.609E-11 7.678E-09 5.122E-07
3.2500 0.0000 1.7222 0.04856 0.970720 4.081E-11 8.811E-11 3.607E-09
3.2500 0.0000 1.7526 0.04818 0.970729 3.697E-11 8.641E-11 3.529E-09
3.2500 0.0000 1.7780 0.04786 0.970735 3.104E-11 8.138E-11 3.318E-09
3.2500 0.0000 1.7992 0.04762 0.970741 2.685E-11 7.764E-11 3.161E-09
3.2500 0.0000 1.8190 0.04738 0.970748 2.616E-11 7.976E-11 3.243E-09
3.2500 0.0000 1.8390 0.04713 0.970752 2.653E-11 8.404E-11 3.412E-09
3.2500 0.0000 1.8590 0.04689 0.970759 2.663E-11 8.856E-11 3.591E-09
3.2500 0.0000 1.8790 2.88318 0.999526 1.525E-11 4.201E-09 2.563E-07
3.2500 0.0000 1.8990 21.89948 0.999936 1.102E-11 4.509E-08 2.855E-06
3.2500 0.0000 1.9190 33.55567 0.999957 1.006E-11 1.539E-07 9.069E-06
3.2500 0.0000 1.9390 43.28096 0.999966 9.582E-12 5.490E-07 3.122E-05
3.2500 0.0000 1.9590 51.94163 0.999972 6.423E-13 2.223E-06 1.244E-04
3.2500 0.0000 1.9790 59.25226 0.999975 -7.219E-11 1.020E-05 5.659E-04
3.2500 0.0000 1.9990 59.69105 0.999975 -1.346E-10 4.403E-05 2.470E-03
3.2500 0.0000 2.0190 44.66227 0.999968 2.925E-09 1.165E-04 6.742E-03
3.2500 0.0000 2.0388 25.35490 0.999946 1.686E-08 1.702E-04 9.891E-03
3.2500 0.0000 2.0600 13.73555 0.999904 5.730E-08 1.913E-04 1.097E-02
3.2500 0.0000 2.0854 0.04411 0.970832 3.871E-07 1.343E-06 5.351E-05
3.2500 0.0000 2.1158 0.04373 0.970845 6.665E-07 1.643E-06 6.531E-05
3.2500 0.0000 2.1525 0.04328 0.970857 1.020E-06 1.883E-06 7.461E-05
3.2500 0.0000 2.1930 0.04279 0.970872 1.245E-06 1.954E-06 7.720E-05
3.2500 0.0000 2.2330 0.04231 0.970887 1.286E-06 1.934E-06 7.613E-05
3.2500 0.0000 2.2730 0.04184 0.970906 1.268E-06 1.925E-06 7.554E-05
3.2500 0.0000 2.3130 0.04135 0.970922 1.176E-06 1.916E-06 7.493E-05
3.2500 0.0000 2.3530 0.04084 0.970941 9.523E-07 1.906E-06 7.425E-05
3.2500 0.0000 2.3930 0.04035 0.970957 5.723E-07 1.896E-06 7.362E-05
3.2500 0.0000 2.4330 0.03987 0.970972 1.948E-07 1.886E-06 7.298E-05
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3.4375 0.0000 2.3530 0.04084 0.970941 1.784E-06 3.060E-06 1.192E-04
3.4375 0.0000 2.3930 0.04035 0.970957 1.841E-06 3.044E-06 1.182E-04
3.4375 0.0000 2.4330 0.03987 0.970972 1.867E-06 3.028E-06 1.172E-04
3.4375 0.0000 2.4730 0.03939 0.970988 1.882E-06 3.011E-06 1.162E-04
3.4375 0.0000 2.5130 0.03891 0.971006 1.890E-06 2.994E-06 1.151E-04
3.4375 0.0000 2.5530 0.03842 0.971021 1.878E-06 2.976E-06 1.141E-04
3.4375 0.0000 2.5930 0.03794 0.971037 1.788E-06 2.957E-06 1.130E-04
3.4375 0.0000 2.6330 0.03746 0.971054 1.521E-06 2.939E-06 1.119E-04
3.4375 0.0000 2.6730 0.03694 0.971076 1.132E-06 2.919E-06 1.107E-04
3.4375 0.0000 2.7130 0.03646 0.971096 7.612E-07 2.901E-06 1.096E-04
3.4375 0.0000 2.7530 0.03600 0.971120 5.230E-07 2.883E-06 1.085E-04
3.4375 0.0000 2.7930 0.03552 0.971144 4.615E-07 2.865E-06 1.074E-04
3.4375 0.0000 2.8330 0.03505 0.971170 1.266E-04 4.347E-05 1.623E-03
3.4375 0.0000 4.0000 0.01827 0.973236 2.570E-03 8.426E-05 2.355E-03
3.4375 0.0000 6.0000 0.01108 0.974602 9.353E-03 8.265E-05 1.910E-03
3.4375 0.0000 8.0000 0.00503 0.981838 8.106E-02 1.318E-04 2.047E-03
3.4375 0.0000 15.0000 0.00107 1.000000 1.043E-01 3.910E-05 3.582E-04
3.5000 0.0000 -0.0087 0.07041 0.970492 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.0095 0.07018 0.970491 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.0315 0.06990 0.970494 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.0574 0.06957 0.970495 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.0878 0.06917 0.970498 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.1245 0.06869 0.970499 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.1650 0.06818 0.970501 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.2050 0.06769 0.970506 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.2450 0.06718 0.970509 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.2850 0.06663 0.970513 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.3250 0.06613 0.970515 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.3650 0.06562 0.970518 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.4050 0.06511 0.970521 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.4450 0.06461 0.970527 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.4850 0.06410 0.970529 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.5250 0.06359 0.970531 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.5650 0.06308 0.970533 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.6050 0.06254 0.970537 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.6450 0.06203 0.970540 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.6850 0.06154 0.970545 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.7250 6.70037 0.999730 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.7650 0.06053 0.970551 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.8050 0.06002 0.970555 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.8450 0.05952 0.970558 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.8850 13.24382 0.999867 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.9250 20.81464 0.999915 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 0.9650 23.02977 0.999924 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 1.0050 25.65011 0.999931 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 1.0450 30.33994 0.999942 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 1.0850 36.63193 0.999952 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 1.1250 47.29251 0.999962 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 1.1650 58.27862 0.999969 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 1.2050 61.95516 0.999971 0.000E+00 0.000E+00 0.000E+00
3.5000 0.0000 1.2450 59.99394 0.999970 -9.524E-20 1.480E-15 7.677E-14
3.5000 0.0000 1.2850 69.91221 0.999974 -5.354E-18 2.885E-14 1.186E-12
3.5000 0.0000 1.3250 79.59664 0.999977 -1.477E-16 7.267E-13 2.711E-11
3.5000 0.0000 1.3650 85.41410 0.999979 -4.680E-15 2.439E-11 9.061E-10
3.5000 0.0000 1.4050 86.96775 0.999979 -1.396E-13 7.563E-10 2.844E-08
3.5000 0.0000 1.4450 84.47320 0.999979 -3.781E-12 2.005E-08 7.561E-07
3.5000 0.0000 1.4850 84.43048 0.999979 -8.688E-11 5.006E-07 1.970E-05
3.5000 0.0000 1.5250 62.74259 0.999973 -5.921E-10 5.254E-06 2.527E-04
3.5000 0.0000 1.5650 0.05053 0.970682 5.115E-09 1.689E-08 6.988E-07
3.5000 0.0000 1.6050 0.05000 0.970693 3.493E-09 1.557E-08 6.422E-07
3.5000 0.0000 1.6450 0.04951 0.970703 2.069E-10 1.217E-08 5.007E-07
3.5000 0.0000 1.6855 0.04902 0.970712 -1.989E-09 9.603E-09 3.941E-07
3.5000 0.0000 1.7222 0.04856 0.970720 -2.768E-09 7.131E-09 2.919E-07
3.5000 0.0000 1.7526 0.04818 0.970729 -2.137E-09 5.305E-09 2.167E-07
3.5000 0.0000 1.7780 0.04786 0.970735 -1.424E-09 4.212E-09 1.717E-07
3.5000 0.0000 1.7992 0.04762 0.970741 -1.050E-09 3.567E-09 1.453E-07
3.5000 0.0000 1.8190 0.04738 0.970748 -9.734E-10 3.277E-09 1.332E-07
3.5000 0.0000 1.8390 0.04713 0.970752 -9.601E-10 3.150E-09 1.279E-07
3.5000 0.0000 1.8590 0.04689 0.970759 -9.271E-10 3.150E-09 1.277E-07
3.5000 0.0000 1.8790 0.04664 0.970763 -8.302E-10 3.368E-09 1.363E-07
3.5000 0.0000 1.8990 0.04640 0.970770 -6.293E-10 3.870E-09 1.565E-07
3.5000 0.0000 1.9190 0.04616 0.970777 -2.796E-10 4.763E-09 1.923E-07
3.5000 0.0000 1.9390 0.04591 0.970781 2.952E-10 6.233E-09 2.512E-07
3.5000 0.0000 1.9590 0.04567 0.970789 1.247E-09 8.646E-09 3.480E-07
3.5000 0.0000 1.9790 0.04539 0.970796 2.844E-09 1.262E-08 5.070E-07
3.5000 0.0000 1.9990 0.04515 0.970803 5.445E-09 1.898E-08 7.613E-07
3.5000 0.0000 2.0190 0.04490 0.970808 9.487E-09 2.865E-08 1.147E-06
3.5000 0.0000 2.0388 0.04466 0.970816 1.651E-08 4.426E-08 1.770E-06
3.5000 0.0000 2.0600 0.04442 0.970824 3.407E-08 7.608E-08 3.038E-06
3.5000 0.0000 2.0854 3.27293 0.999606 4.342E-08 6.633E-06 4.524E-04
3.5000 0.0000 2.1158 8.03769 0.999839 9.030E-08 3.589E-05 2.471E-03
3.5000 0.0000 2.1525 0.04328 0.970857 4.180E-07 6.138E-07 2.432E-05
3.5000 0.0000 2.1930 0.04279 0.970872 5.735E-07 7.530E-07 2.975E-05
3.5000 0.0000 2.2330 0.04231 0.970887 6.000E-07 7.635E-07 3.006E-05
3.5000 0.0000 2.2730 0.04184 0.970906 6.142E-07 7.601E-07 2.983E-05
3.5000 0.0000 2.3130 0.04135 0.970922 6.189E-07 7.564E-07 2.959E-05
3.5000 0.0000 2.3530 0.04084 0.970941 6.166E-07 7.524E-07 2.932E-05
3.5000 0.0000 2.3930 0.04035 0.970957 5.940E-07 7.486E-07 2.907E-05
3.5000 0.0000 2.4330 0.03987 0.970972 4.958E-07 7.446E-07 2.882E-05
3.5000 0.0000 2.4730 0.03939 0.970988 2.204E-07 7.404E-07 2.856E-05
3.5000 0.0000 2.5130 0.03891 0.971006 -1.808E-07 7.361E-07 2.831E-05
3.5000 0.0000 2.5530 0.03842 0.971021 -5.658E-07 7.316E-07 2.805E-05
3.5000 0.0000 2.5930 0.03794 0.971037 -8.219E-07 7.271E-07 2.778E-05
3.5000 0.0000 2.6330 0.03746 0.971054 -8.977E-07 7.225E-07 2.752E-05
3.5000 0.0000 2.6730 0.03694 0.971076 -1.081E-06 7.177E-07 2.722E-05
3.5000 0.0000 2.7130 0.03646 0.971096 -1.311E-06 7.132E-07 2.695E-05
3.5000 0.0000 2.7530 0.03600 0.971120 -1.573E-06 7.088E-07 2.669E-05
3.5000 0.0000 2.7930 0.03552 0.971144 -1.679E-06 7.044E-07 2.641E-05
3.5000 0.0000 2.8330 0.03505 0.971170 -1.451E-04 1.069E-05 3.990E-04
3.5000 0.0000 4.0000 0.01827 0.973236 -9.999E-04 2.072E-05 5.792E-04
3.5000 0.0000 6.0000 0.01108 0.974602 1.541E-03 2.032E-05 4.697E-04
3.5000 0.0000 8.0000 0.00503 0.981838 1.028E-02 3.240E-05 5.033E-04
3.5000 0.0000 15.0000 0.00107 1.000000 1.917E-02 9.614E-06 8.807E-05
3.5625 0.0000 -0.0087 0.07041 0.970492 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.0095 0.07018 0.970491 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.0315 0.06990 0.970494 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.0574 0.06957 0.970495 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.0878 0.06917 0.970498 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.1245 0.06869 0.970499 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.1650 0.06818 0.970501 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.2050 0.06769 0.970506 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.2450 0.06718 0.970509 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.2850 0.06663 0.970513 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.3250 0.06613 0.970515 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.3650 0.06562 0.970518 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.4050 0.06511 0.970521 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.4450 0.06461 0.970527 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.4850 0.06410 0.970529 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.5250 0.06359 0.970531 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.5650 0.06308 0.970533 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.6050 0.06254 0.970537 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.6450 0.06203 0.970540 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.6850 7.90968 0.999769 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.7250 15.39054 0.999881 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.7650 0.06053 0.970551 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.8050 0.06002 0.970555 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.8450 3.88351 0.999548 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.8850 15.97185 0.999889 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.9250 21.24292 0.999917 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 0.9650 23.71330 0.999926 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 1.0050 28.62948 0.999938 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 1.0450 35.27861 0.999949 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 1.0850 41.95600 0.999957 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 1.1250 49.35726 0.999964 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 1.1650 58.80862 0.999969 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 1.2050 66.77534 0.999973 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 1.2450 75.47369 0.999976 0.000E+00 0.000E+00 0.000E+00
3.5625 0.0000 1.2850 82.96284 0.999978 -4.920E-19 2.950E-15 1.190E-13
3.5625 0.0000 1.3250 87.00463 0.999979 -2.384E-17 1.179E-13 4.199E-12
3.5625 0.0000 1.3650 89.88413 0.999980 -1.006E-15 4.720E-12 1.588E-10
3.5625 0.0000 1.4050 90.37360 0.999980 -3.765E-14 1.966E-10 7.084E-09
3.5625 0.0000 1.4450 84.64031 0.999979 -1.075E-12 5.744E-09 2.174E-07
3.5625 0.0000 1.4850 87.30922 0.999980 -2.857E-11 1.576E-07 5.974E-06
3.5625 0.0000 1.5250 76.52665 0.999977 -3.671E-10 2.573E-06 1.130E-04
3.5625 0.0000 1.5650 28.94515 0.999946 -2.313E-10 5.410E-06 2.823E-04
3.5625 0.0000 1.6050 0.05000 0.970693 2.791E-09 1.926E-08 7.947E-07
3.5625 0.0000 1.6450 0.04951 0.970703 2.690E-09 1.847E-08 7.601E-07
3.5625 0.0000 1.6855 0.04902 0.970712 1.922E-09 1.615E-08 6.627E-07
3.5625 0.0000 1.7222 0.04856 0.970720 2.471E-09 1.528E-08 6.256E-07
3.5625 0.0000 1.7526 0.04818 0.970729 3.786E-09 1.634E-08 6.674E-07
3.5625 0.0000 1.7780 0.04786 0.970735 5.112E-09 1.887E-08 7.695E-07
3.5625 0.0000 1.7992 0.04762 0.970741 6.785E-09 2.341E-08 9.532E-07
3.5625 0.0000 1.8190 0.04738 0.970748 1.057E-08 3.301E-08 1.342E-06
3.5625 0.0000 1.8390 0.04713 0.970752 1.753E-08 4.985E-08 2.024E-06
3.5625 0.0000 1.8590 0.04689 0.970759 2.826E-08 7.565E-08 3.067E-06
3.5625 0.0000 1.8790 0.04664 0.970763 4.431E-08 1.140E-07 4.615E-06
3.5625 0.0000 1.8990 0.04640 0.970770 6.718E-08 1.684E-07 6.807E-06
3.5625 0.0000 1.9190 0.04616 0.970777 9.687E-08 2.386E-07 9.632E-06
3.5625 0.0000 1.9390 0.04591 0.970781 1.320E-07 3.209E-07 1.294E-05
3.5625 0.0000 1.9590 0.04567 0.970789 1.713E-07 4.126E-07 1.661E-05
3.5625 0.0000 1.9790 0.04539 0.970796 2.135E-07 5.096E-07 2.047E-05
3.5625 0.0000 1.9990 0.04515 0.970803 2.537E-07 6.013E-07 2.412E-05
3.5625 0.0000 2.0190 0.04490 0.970808 2.840E-07 6.724E-07 2.693E-05
3.5625 0.0000 2.0388 0.04466 0.970816 3.261E-07 7.459E-07 2.983E-05
3.5625 0.0000 2.0600 0.04442 0.970824 4.429E-07 8.873E-07 3.543E-05
3.5625 0.0000 2.0854 0.04411 0.970832 6.618E-07 1.100E-06 4.385E-05
3.5625 0.0000 2.1158 0.04373 0.970845 9.909E-07 1.360E-06 5.406E-05
3.5625 0.0000 2.1525 0.04328 0.970857 1.327E-06 1.570E-06 6.222E-05
3.5625 0.0000 2.1930 0.04279 0.970872 1.444E-06 1.630E-06 6.438E-05
3.5625 0.0000 2.2330 0.04231 0.970887 1.409E-06 1.613E-06 6.349E-05
3.5625 0.0000 2.2730 0.04184 0.970906 1.317E-06 1.605E-06 6.300E-05
3.5625 0.0000 2.3130 0.04135 0.970922 1.050E-06 1.598E-06 6.249E-05
3.5625 0.0000 2.3530 0.04084 0.970941 6.547E-07 1.589E-06 6.192E-05
3.5625 0.0000 2.3930 0.04035 0.970957 2.724E-07 1.581E-06 6.140E-05
3.5625 0.0000 2.4330 0.03987 0.970972 1.562E-08 1.573E-06 6.086E-05
3.5625 0.0000 2.4730 0.03939 0.970988 -5.674E-08 1.564E-06 6.032E-05
3.5625 0.0000 2.5130 0.03891 0.971006 -2.340E-07 1.555E-06 5.979E-05
3.5625 0.0000 2.5530 0.03842 0.971021 -4.602E-07 1.545E-06 5.924E-05
3.5625 0.0000 2.5930 0.03794 0.971037 -7.179E-07 1.536E-06 5.868E-05
3.5625 0.0000 2.6330 0.03746 0.971054 -8.308E-07 1.526E-06 5.811E-05
3.5625 0.0000 2.6730 0.03694 0.971076 -4.386E-07 1.516E-06 5.750E-05
3.5625 0.0000 2.7130 0.03646 0.971096 -3.922E-08 1.506E-06 5.693E-05
3.5625 0.0000 2.7530 0.03600 0.971120 3.191E-07 1.497E-06 5.637E-05
3.5625 0.0000 2.7930 0.03552 0.971144 5.317E-07 1.488E-06 5.579E-05
3.5625 0.0000 2.8330 0.03505 0.971170 5.888E-05 2.257E-05 8.427E-04
3.5625 0.0000 4.0000 0.01827 0.973236 9.764E-04 4.376E-05 1.223E-03
3.5625 0.0000 6.0000 0.01108 0.974602 5.524E-03 4.292E-05 9.919E-04
3.5625 0.0000 8.0000 0.00503 0.981838 4.040E-02 6.844E-05 1.063E-03
3.5625 0.0000 15.0000 0.00107 1.000000 5.314E-02 2.030E-05 1.860E-04
3.6250 0.0000 -0.0087 0.07041 0.970492 0.000E+00 0.000E+00 0.000E+00
3.6250 0.0000 0.0095 0.07018 0.970491 0.000E+00 0.000E+00 0.000E+00
3.6250 0.0000 0.0315 0.06990 0.970494 0.000E+00 0.000E+00 0.000E+00
3.6250 0.0000 0.0574 0.06957 0.970495 0.000E+00 0.000E+00 0.000E+00
3.6250 0.0000 0.0878 0.06917 0.970498 0.000E+00 0.000E+00 0.000E+00
3.6250 0.0000 0.1245 0.06869 0.970499 0.000E+00 0.000E+00 0.000E+00
3.6250 0.0000 0.1650 0.06818 0.970501 0.000E+00 0.000E+00 0.000E+00
3.6250 0.0000 0.2050 0.06769 0.970506 0.000E+00 0.000E+00 0.000E+00
3.6250 0.0000 0.2450 0.06718 0.970509 0.000E+00 0.000E+00 0.000E+00
3.6250 0.0000 0.2850 0.06663 0.970513 0.000E+00 0.000E+00 0.000E+00
Showing head: les0822nh15t13y135_ocaer1_w0.646_ns1guess.arad
! Polarized Spherical Harmonic Discrete Ordinate Radiative Transfer Radiance Output
! L= 15 M= 15 NLM= 256 NMU= 16 NPHI= 32 NANG= 354 NSH= 1516074
! NSTOKES=1 NX= 320 NY= 1 NZ= 86 NPTS= 27606 NCELLS= 27200
! PARTICLE_FILE=les0822nh15t13y135_ocaer1g.part
! CORRELATED_K-DIST_FILE=NONE NUM_G= 1
! SOURCE_TYPE=SOLAR DELTA-M METHOD
! GRID_TYPE=EVEN (X,Y) PROPERTY-FILE (Z) INDEPENDENT_PIXEL=2
! SURFACE_TYPE=FIXED LAMBERTIAN HORIZ_BOUNDARY_COND=0
! GROUND_ALBEDO=0.0500000 SKY_RAD= 0.00000E+00
! SOLAR_FLUX= 0.100000E+01 SOLAR_MU=-0.9221000 SOLAR_AZ= 339.400
! UNITS=WATTS/(M^2 MICRON STER) WAVELENGTH= 0.65
! SPLITTING_ACCURACY= 0.300E-01 SPHERICAL_HARMONIC_ACCURACY= 0.300E-02
! SOLUTION_ACCURACY= 0.300E-04
! MAXIMUM_ITERATIONS= 0 NUMBER_ITERATIONS= 0
! RADIANCE AT Z= 15.000
320 1 1 ! NXOUT, NYOUT, NRADDIR
! ID mu phi
! 1 1.0000000 0.00
! ID IY IX RADIANCE (STOKES I, Q, U, V)
1 1 1 0.111712E-01
1 1 2 0.115414E-01
1 1 3 0.706168E-02
1 1 4 0.104835E-01
1 1 5 0.114737E-01
1 1 6 0.124623E-01
1 1 7 0.126546E-01
1 1 8 0.120661E-01
1 1 9 0.880267E-02
1 1 10 0.106808E-01
1 1 11 0.108542E-01
1 1 12 0.113844E-01
1 1 13 0.117932E-01
1 1 14 0.118510E-01
1 1 15 0.129921E-01
1 1 16 0.120715E-01
In [5]:
# Load the adjoint files into memory
adj_frame = pd.read_csv(fadj, quoting=3, delim_whitespace=True, skiprows=2)
adj_true_frame = pd.read_csv(fadj_true, quoting=3, delim_whitespace=True, skiprows=2)
adj_arad_frame = pd.read_csv(farad, quoting=3, delim_whitespace=True, skiprows=19)
adj_arad_true_frame = pd.read_csv(farad_true, quoting=3, delim_whitespace=True, skiprows=19)
# Get variables from the array
nx = adj_frame['X'].unique().size
nz = adj_frame["Z"].unique().size
# Get the guess case adjoint field properties
adj_x = np.array(adj_frame["X"], dtype='f8').reshape(nx, nz)
adj_z = np.array(adj_frame["Z"], dtype='f8').reshape(nx, nz)
adj_ext = np.array(adj_frame["Extinct"], dtype='f8').reshape(nx, nz)
adj_alb = np.array(adj_frame["SSalbedo"], dtype='f8').reshape(nx, nz)
adj_dMFdext = np.array(adj_frame["dMF/dExt"], dtype='f8').reshape(nx, nz)
adj_dMFdalb = np.array(adj_frame["dMF/dSSalb"], dtype='f8').reshape(nx, nz)
# Get the True case adjoint extinction field
adj_ext_true = np.array(adj_true_frame["Extinct"], dtype='f8').reshape(nx, nz)
# Define the adjoint radiance parameters
adj_arad = np.array(adj_arad_frame['RADIANCE'], dtype='f8').reshape(nx)
adj_arad_true = np.array(adj_arad_true_frame['RADIANCE'], dtype='f8').reshape(nx)
---------------------------------------------------------------------------
KeyError Traceback (most recent call last)
<ipython-input-5-f46ed493577b> in <module>()
7
8 # Get variables from the array
----> 9 nx = adj_frame['X'].unique().size
10 nz = adj_frame["Z"].unique().size
11
/home/will/soft/epd/epd-7.3-2-rh5-x86_64/lib/python2.7/site-packages/pandas-0.14.1-py2.7-linux-x86_64.egg/pandas/core/frame.pyc in __getitem__(self, key)
1676 return self._getitem_multilevel(key)
1677 else:
-> 1678 return self._getitem_column(key)
1679
1680 def _getitem_column(self, key):
/home/will/soft/epd/epd-7.3-2-rh5-x86_64/lib/python2.7/site-packages/pandas-0.14.1-py2.7-linux-x86_64.egg/pandas/core/frame.pyc in _getitem_column(self, key)
1683 # get column
1684 if self.columns.is_unique:
-> 1685 return self._get_item_cache(key)
1686
1687 # duplicate columns & possible reduce dimensionaility
/home/will/soft/epd/epd-7.3-2-rh5-x86_64/lib/python2.7/site-packages/pandas-0.14.1-py2.7-linux-x86_64.egg/pandas/core/generic.pyc in _get_item_cache(self, item)
1050 res = cache.get(item)
1051 if res is None:
-> 1052 values = self._data.get(item)
1053 res = self._box_item_values(item, values)
1054 cache[item] = res
/home/will/soft/epd/epd-7.3-2-rh5-x86_64/lib/python2.7/site-packages/pandas-0.14.1-py2.7-linux-x86_64.egg/pandas/core/internals.pyc in get(self, item, fastpath)
2563
2564 if not isnull(item):
-> 2565 loc = self.items.get_loc(item)
2566 else:
2567 indexer = np.arange(len(self.items))[isnull(self.items)]
/home/will/soft/epd/epd-7.3-2-rh5-x86_64/lib/python2.7/site-packages/pandas-0.14.1-py2.7-linux-x86_64.egg/pandas/core/index.pyc in get_loc(self, key)
1179 loc : int if unique index, possibly slice or mask if not
1180 """
-> 1181 return self._engine.get_loc(_values_from_object(key))
1182
1183 def get_value(self, series, key):
index.pyx in pandas.index.IndexEngine.get_loc (pandas/index.c:3354)()
index.pyx in pandas.index.IndexEngine.get_loc (pandas/index.c:3234)()
hashtable.pyx in pandas.hashtable.PyObjectHashTable.get_item (pandas/hashtable.c:11148)()
hashtable.pyx in pandas.hashtable.PyObjectHashTable.get_item (pandas/hashtable.c:11101)()
KeyError: 'X'
In [47]:
cond = abs(adj_frame["Z"]-15) < .2
adj_frame[cond]
Out[47]:
X
Y
Z
Extinct
SSalbedo
dMF/dExt
dMF/dSSalb
dMF/dP(Theta_j)
82
0.0000
0
15
0.00107
1
-5.7630
-0.007303
-0.066900
165
0.0625
0
15
0.00107
1
-5.4040
-0.006903
-0.063240
248
0.1250
0
15
0.00107
1
-4.5590
-0.005521
-0.050580
331
0.1875
0
15
0.00107
1
-6.1260
-0.007638
-0.069970
414
0.2500
0
15
0.00107
1
-6.7710
-0.008555
-0.078370
497
0.3125
0
15
0.00107
1
-6.5720
-0.008433
-0.077250
580
0.3750
0
15
0.00107
1
-5.7130
-0.007453
-0.068280
663
0.4375
0
15
0.00107
1
-4.9960
-0.006468
-0.059250
746
0.5000
0
15
0.00107
1
-3.4130
-0.004334
-0.039710
829
0.5625
0
15
0.00107
1
-2.9250
-0.003888
-0.035620
912
0.6250
0
15
0.00107
1
-2.7620
-0.003659
-0.033520
995
0.6875
0
15
0.00107
1
-2.0560
-0.002816
-0.025800
1078
0.7500
0
15
0.00107
1
-1.9100
-0.002647
-0.024250
1161
0.8125
0
15
0.00107
1
-1.7820
-0.002525
-0.023140
1244
0.8750
0
15
0.00107
1
-5.3360
-0.006965
-0.063810
1327
0.9375
0
15
0.00107
1
-6.7150
-0.008715
-0.079840
1410
1.0000
0
15
0.00107
1
-7.2750
-0.009091
-0.083280
1493
1.0625
0
15
0.00107
1
-7.3250
-0.009104
-0.083400
1576
1.1250
0
15
0.00107
1
-6.3700
-0.008180
-0.074930
1659
1.1875
0
15
0.00107
1
-5.0780
-0.006464
-0.059220
1742
1.2500
0
15
0.00107
1
-4.0340
-0.005292
-0.048480
1825
1.3125
0
15
0.00107
1
-4.3370
-0.005791
-0.053050
1908
1.3750
0
15
0.00107
1
-5.9460
-0.007700
-0.070540
1991
1.4375
0
15
0.00107
1
-6.5550
-0.008448
-0.077390
2074
1.5000
0
15
0.00107
1
-4.7300
-0.006188
-0.056690
2157
1.5625
0
15
0.00107
1
-4.4940
-0.005667
-0.051910
2240
1.6250
0
15
0.00107
1
-5.1200
-0.006369
-0.058340
2323
1.6875
0
15
0.00107
1
-5.4600
-0.006815
-0.062430
2406
1.7500
0
15
0.00107
1
-5.8380
-0.007253
-0.066440
2489
1.8125
0
15
0.00107
1
-4.9770
-0.006240
-0.057160
...
...
...
...
...
...
...
...
...
24152
18.1250
0
15
0.00107
1
-2.2390
-0.003262
-0.029880
24235
18.1875
0
15
0.00107
1
-1.7660
-0.002518
-0.023070
24318
18.2500
0
15
0.00107
1
-2.1470
-0.003023
-0.027690
24401
18.3125
0
15
0.00107
1
-2.9900
-0.003977
-0.036430
24484
18.3750
0
15
0.00107
1
-3.0620
-0.003977
-0.036430
24567
18.4375
0
15
0.00107
1
-5.6620
-0.007265
-0.066550
24650
18.5000
0
15
0.00107
1
-7.4070
-0.009339
-0.085550
24733
18.5625
0
15
0.00107
1
-5.8450
-0.007641
-0.070000
24816
18.6250
0
15
0.00107
1
-5.0250
-0.006580
-0.060280
24899
18.6875
0
15
0.00107
1
-4.6920
-0.006206
-0.056860
24982
18.7500
0
15
0.00107
1
-4.6610
-0.006121
-0.056070
25065
18.8125
0
15
0.00107
1
-3.8760
-0.004881
-0.044720
25148
18.8750
0
15
0.00107
1
-1.4780
-0.002024
-0.018540
25231
18.9375
0
15
0.00107
1
-1.9090
-0.002371
-0.021720
25314
19.0000
0
15
0.00107
1
-3.4870
-0.004342
-0.039770
25397
19.0625
0
15
0.00107
1
-4.0000
-0.005040
-0.046170
25480
19.1250
0
15
0.00107
1
-1.5030
-0.001863
-0.017060
25563
19.1875
0
15
0.00107
1
-0.2800
-0.000526
-0.004820
25646
19.2500
0
15
0.00107
1
0.3028
0.000045
0.000415
25729
19.3125
0
15
0.00107
1
-0.3874
-0.000854
-0.007822
25812
19.3750
0
15
0.00107
1
-1.8610
-0.002716
-0.024880
25895
19.4375
0
15
0.00107
1
-4.9990
-0.006609
-0.060540
25978
19.5000
0
15
0.00107
1
-6.3950
-0.008303
-0.076060
26061
19.5625
0
15
0.00107
1
-7.0560
-0.009055
-0.082950
26144
19.6250
0
15
0.00107
1
-6.6320
-0.008443
-0.077340
26227
19.6875
0
15
0.00107
1
-6.8060
-0.008879
-0.081340
26310
19.7500
0
15
0.00107
1
-6.8730
-0.008975
-0.082220
26393
19.8125
0
15
0.00107
1
-5.3910
-0.007234
-0.066270
26476
19.8750
0
15
0.00107
1
-5.8250
-0.007588
-0.069510
26559
19.9375
0
15
0.00107
1
-5.8220
-0.007439
-0.068150
320 rows × 8 columns
In [31]:
In [33]:
# Plot uniformity parameters
H = 5.5 # top of the atmosphere plots
mask_clouds = (adj_ext>= .75e-5) #* (adj_z <= 2.83)
cloud_outline = (adj_ext>= .75e-1) #* (adj_z <= 2.83)
# Scaling of the verticle coordinate
Zscale = adj_z[0,:]
DZscale = 0 * Zscale
DZscale_other = 0 * Zscale
DZscale[:-1] += 1 / (Zscale[1:] - Zscale[:-1])
DZscale_other[1:] += 1 / (Zscale[1:] - Zscale[:-1])
alpha = .99725
DZscale = alpha * DZscale + (1-alpha) * DZscale_other
# Compute the residual
adj_residual = adj_arad_true - adj_arad
#mask_clouds = adj_ext_true >= 1e-5
In [34]:
# Make a figure to plot the true extinction field
f0 = plt.figure(0, (15,8), facecolor='white')
ax0 = f0.add_axes([.1, .1, .8, .8])
contour0 = ax0.contourf(adj_x, adj_z, adj_ext_true, 100, cmap=cm.gray)
ax0.set_ybound((0,8))
ax0.set_title(" Guess for the extinction field at y=8.35")
f0.colorbar(contour0, ax=ax0)
Out[34]:
<matplotlib.colorbar.Colorbar instance at 0xcf04b90>
In [35]:
# Make a figure to plot the true extinction field
f0 = plt.figure(0, (15,8), facecolor='white')
ax0 = f0.add_axes([.1, .1, .8, .8])
fvals = adj_ext_true - adj_ext
contour0 = ax0.contourf(adj_x, adj_z, fvals, 100, cmap=cm.gray)
ax0.set_ybound((0,8))
ax0.set_title("Difference $\sigma_{\mathrm{true}} - \sigma_{\mathrm{guess}}$")
f0.colorbar(contour0, ax=ax0)
Out[35]:
<matplotlib.colorbar.Colorbar instance at 0xc3fee60>
In [ ]:
In [36]:
# Make a figure to plot the true single-scattering albedo field
f1 = plt.figure(1, (15,8), facecolor='white')
ax1 = f1.add_axes([.1, .1, .8, .8])
levels = np.linspace(.999995, 1, 100)
contour1 = ax1.contourf(adj_x, adj_z, adj_alb, levels=levels, cmap=cm.gray)
ax1.set_ybound((0,13))
ax1.set_title("SSAlbedo field at y=8.35")
f1.colorbar(contour1, ax=ax1)
Out[36]:
<matplotlib.colorbar.Colorbar instance at 0xc0d87a0>
In [38]:
# Make a figure to plot the true single-scattering albedo field
f2 = plt.figure(1, (15,8), facecolor='white')
ax2 = f2.add_axes([.1, .1, .8, .8])
fvals = -adj_dMFdext * mask_clouds * DZscale * adj_ext# * .1 * adj_ext
fmax = abs(fvals).max() / 20.
levels = np.linspace(-fmax, fmax, 200)
contour2 = ax2.contourf(adj_x, adj_z, fvals, levels=levels, cmap=cm.RdBu_r, extend="both") #levels=linspace(-16, 16, 100),
contour2a = ax2.contour(adj_x, adj_z, cloud_outline, 1, cmap=cm.gray) #levels=linspace(-16, 16, 100),
#contour2b = ax2.contourf(adj_x, adj_z, cloud_outline * fvals, 10 , cmap=cm.RdBu_r, linewidth=3) #levels=linspace(-16, 16, 100),
# Add the residual to the plot
ftrans = lambda y: 50 * y + .8*H
plot_overlay_origin = ftrans(0 * adj_residual)
plot_overlay_arad = ftrans(adj_residual)
plot_res_pos = ax2.fill_between(adj_x[:,0], plot_overlay_origin, plot_overlay_arad,
where=(plot_overlay_origin<plot_overlay_arad),
color='b')#, linewidth=3)
plot_res_neg = ax2.fill_between(adj_x[:,0], plot_overlay_origin, plot_overlay_arad,
where=(plot_overlay_origin>plot_overlay_arad),
color='r',)#, linewidth=3)
plot_res_line = ax2.plot(adj_x[:,0], plot_overlay_arad, 'k', linewidth=2)
plot_origin = ax2.plot(adj_x[:,0], plot_overlay_origin, 'k,', linewidth=1)
ax2.set_ybound((0,H))
ax2.set_ylabel("Z Height [km]", fontsize='x-large', fontweight='bold')
ax2.set_xlabel('X [km]', fontsize='large', fontweight='bold')
ax2.set_title("""
Risidual ($y_{\mathrm{data}} - y_{\mathrm{model}}(\mathbf{a})$) and derivative (-$\mathrm{d}\Phi(\sigma) / \mathrm{d}\log\sigma$)
""", fontsize='xx-large', fontweight='bold')
cb = f2.colorbar(contour2, ax=ax2)
cb.set_ticks([-fmax, 0, fmax])
f2.savefig("adjoint-derivative-single-scattering.jpg", dpi=300)
#cb.set_ticklabels(['-2', '-1', '0', '1', '2'])
In [26]:
# Make a figure to plot the true single-scattering albedo field
f2 = plt.figure(1, (15,8), facecolor='white')
ax2 = f2.add_axes([.1, .1, .8, .8])
fvals = -adj_dMFdext * mask_clouds * DZscale * adj_ext# * .1 * adj_ext
fvals = (adj_ext_true - adj_ext) #* adj_ext
fmax = abs(fvals).max() / 1.
levels = np.linspace(-fmax, fmax, 200)
contour2 = ax2.contourf(adj_x, adj_z, fvals, levels=levels, cmap=cm.RdBu_r, extend="both") #levels=linspace(-16, 16, 100),
contour2a = ax2.contour(adj_x, adj_z, cloud_outline, 1, cmap=cm.gray) #levels=linspace(-16, 16, 100),
#contour2b = ax2.contourf(adj_x, adj_z, cloud_outline * fvals, 10 , cmap=cm.RdBu_r, linewidth=3) #levels=linspace(-16, 16, 100),
# Add the residual to the plot
ftrans = lambda y: 50 * y + .8*H
plot_overlay_origin = ftrans(0 * adj_residual)
plot_overlay_arad = ftrans(adj_residual)
plot_res_pos = ax2.fill_between(adj_x[:,0], plot_overlay_origin, plot_overlay_arad,
where=(plot_overlay_origin<plot_overlay_arad),
color='b')#, linewidth=3)
plot_res_neg = ax2.fill_between(adj_x[:,0], plot_overlay_origin, plot_overlay_arad,
where=(plot_overlay_origin>plot_overlay_arad),
color='r',)#, linewidth=3)
plot_res_line = ax2.plot(adj_x[:,0], plot_overlay_arad, 'k', linewidth=2)
plot_origin = ax2.plot(adj_x[:,0], plot_overlay_origin, 'k,', linewidth=1)
ax2.set_ybound((0,H))
ax2.set_ylabel("Z Height [km]", fontsize='x-large', fontweight='bold')
ax2.set_xlabel('X [km]', fontsize='large', fontweight='bold')
ax2.set_title("""
Risidual ($y_{\mathrm{data}} - y_{\mathrm{model}}(\mathbf{a})$) and extinction error ($\sigma_{\mathrm{true}}-\sigma_{\mathrm{guess}})$)
""", fontsize='xx-large', fontweight='bold')
cb = f2.colorbar(contour2, ax=ax2)
cb.set_ticks([-fmax, 0, fmax])
f2.savefig("adjoint-extinction-difference-and residual.jpg", dpi=300)
#cb.set_ticklabels(['-2', '-1', '0', '1', '2'])
In [14]:
plot(Zscale, DZscale)
Out[14]:
[<matplotlib.lines.Line2D at 0xaa90c50>]
In [15]:
# Make a figure to plot the true single-scattering albedo field
f3 = plt.figure(1, (15,8), facecolor='white')
ax3 = f3.add_axes([.1, .1, .8, .8])
# plot parameters
fvals = adj_dMFdalb * mask_clouds * DZscale # * .1 * adj_ext
fmax = abs(fvals).max()
levels = np.linspace(-fmax, fmax, 100)
#levels = np.linspace(-.05, .05, 100)
#fvals = adj_dMFdalb * mask_clouds * DZscale
contour3 = ax3.contourf(adj_x, adj_z, fvals, levels=levels, cmap=cm.RdBu_r)
contour3a = ax3.contour(adj_x, adj_z, cloud_outline, 1, cmap=cm.gray) #levels=linspace(-16, 16, 100),
# Add the residual to the plot
ftrans = lambda y: 2. * y + .8*H
plot_overlay_origin = ftrans(0 * adj_arad)
plot_overlay_arad = ftrans(adj_arad)
plot_arad = ax3.plot(adj_x[:,0], plot_overlay_arad, 'r', linewidth=3)
plot_origin = ax3.plot(adj_x[:,0], plot_overlay_origin, 'k,', linewidth=1)
ax3.set_ybound((0,H))
ax3.set_title("dMF/dalb (GUESS) field at y=8.35")
f3.colorbar(contour3, ax=ax3)
Out[15]:
<matplotlib.colorbar.Colorbar instance at 0xb202248>
In [16]:
# Plot the Adjoint radiance at the top of the atmosphere
f4 = plt.figure(4, (15,8), facecolor='white')
ax4 = f4.add_axes([.1, .1, .8, .8])
ax4.plot(np.unique(adj_x), adj_arad, 'k', linewidth=4)
ax4.set_xbound(0,25.5)
#ax4.contourf(adj_x, adj_z, adj_arad, 100, cmap=cm.RdBu_r)
print(adj_x.shape, adj_z.shape, adj_arad.shape)
((320, 83), (320, 83), (320,))
In [17]:
# Read the adjoint file
cols = ['X', 'Y', 'Z', 'ADEXTINCT', "ADALBEDO"]
value_list = []
for line in open(fadj):
if line[0] =='!':
pass
else:
new = line.strip().split()
value_list.append(new[:len(cols)])
values = np.array(value_list, dtype="f8").T
adjoint_dict = dict(zip(cols, values))
---------------------------------------------------------------------------
ValueError Traceback (most recent call last)
<ipython-input-17-202a0c274a17> in <module>()
10 value_list.append(new[:len(cols)])
11
---> 12 values = np.array(value_list, dtype="f8").T
13 adjoint_dict = dict(zip(cols, values))
ValueError: could not convert string to float: X
In [10]:
# Get values to plot
nx = np.unique(adjoint_dict['X']).size
nz = np.unique(adjoint_dict['Z']).size
x = adjoint_dict['X'].reshape(nx, nz)
z = adjoint_dict['Z'].reshape(nx, nz)
adj_ext = adjoint_dict['ADEXTINCT'].reshape(nx, nz)
adj_alb = adjoint_dict['ADALBEDO'].reshape(nx, nz)
print("maxes: {}, {}.".format(abs(adj_ext).max(),abs(adj_alb).max()))
maxes: 16.91, 0.501.
In [11]:
#plot the adjoint of the extinction
f1 = plt.figure(1, (15, 8), facecolor='white')
ax1 = f1.add_axes([.1, .1, .8, .8])
contour1 =ax1.contourf(x, z, adj_alb, levels=np.linspace(0, .6,50), cmap=cm.gray)
ax1.set_ybound(0,5)
f1.colorbar(contour1, ax=ax1)
ax1.set_title("Single-scattering adjoint derivative w.r.t. albedo", fontsize="x-large", fontweight="bold")
Out[11]:
<matplotlib.text.Text at 0x4f0a910>
In [19]:
# The first adjoint radiance field
farad1 = "radobs_les0822nh15t13y89_ocaer1_w0.646_ns1ss1.arad"
print_head(farad1, Nlines=100)
Showing head: radobs_les0822nh15t13y89_ocaer1_w0.646_ns1ss1.arad
! Polarized Spherical Harmonic Discrete Ordinate Radiative Transfer Radiance Output
! L= 15 M= 15 NLM= 256 NMU= 16 NPHI= 32 NANG= 354 NSH= 1757885
! NSTOKES=1 NX= 320 NY= 1 NZ= 85 NPTS= 27285 NCELLS= 26880
! PARTICLE_FILE=les0822nh15t13y89_ocaer1.part
! CORRELATED_K-DIST_FILE=NONE NUM_G= 1
! SOURCE_TYPE=SOLAR DELTA-M METHOD
! GRID_TYPE=EVEN (X,Y) PROPERTY-FILE (Z) INDEPENDENT_PIXEL=2
! SURFACE_TYPE=FIXED LAMBERTIAN HORIZ_BOUNDARY_COND=0
! GROUND_ALBEDO=0.0500000 SKY_RAD= 0.00000E+00
! SOLAR_FLUX= 0.100000E+01 SOLAR_MU=-0.9221000 SOLAR_AZ= 339.400
! UNITS=WATTS/(M^2 MICRON STER) WAVELENGTH= 0.65
! SPLITTING_ACCURACY= 0.300E-01 SPHERICAL_HARMONIC_ACCURACY= 0.300E-02
! SOLUTION_ACCURACY= 0.300E-04
! MAXIMUM_ITERATIONS= 0 NUMBER_ITERATIONS= 0
! RADIANCE AT Z= 15.000
320 1 3 ! NXOUT, NYOUT, NRADDIR
! ID mu phi
! 1 0.8660300 180.00
! 2 1.0000000 0.00
! 3 0.8660300 0.00
! ID IY IX RADIANCE (STOKES I, Q, U, V)
1 1 1 0.134613E-01
1 1 2 0.115650E-01
1 1 3 0.125559E-01
1 1 4 0.125286E-01
1 1 5 0.121647E-01
1 1 6 0.117333E-01
1 1 7 0.124280E-01
1 1 8 0.115808E-01
1 1 9 0.988294E-02
1 1 10 0.123670E-01
1 1 11 0.118903E-01
1 1 12 0.117026E-01
1 1 13 0.114063E-01
1 1 14 0.110016E-01
1 1 15 0.109395E-01
1 1 16 0.111800E-01
1 1 17 0.119092E-01
1 1 18 0.124901E-01
1 1 19 0.131205E-01
1 1 20 0.126538E-01
1 1 21 0.138799E-01
1 1 22 0.130093E-01
1 1 23 0.133729E-01
1 1 24 0.134214E-01
1 1 25 0.127005E-01
1 1 26 0.161253E-01
1 1 27 0.191886E-01
1 1 28 0.176198E-01
1 1 29 0.179799E-01
1 1 30 0.172136E-01
1 1 31 0.174579E-01
1 1 32 0.181361E-01
1 1 33 0.185459E-01
1 1 34 0.184355E-01
1 1 35 0.184394E-01
1 1 36 0.180923E-01
1 1 37 0.178597E-01
1 1 38 0.178598E-01
1 1 39 0.178598E-01
1 1 40 0.178598E-01
1 1 41 0.178598E-01
1 1 42 0.178598E-01
1 1 43 0.178598E-01
1 1 44 0.178598E-01
1 1 45 0.178598E-01
1 1 46 0.178598E-01
1 1 47 0.178598E-01
1 1 48 0.178598E-01
1 1 49 0.178598E-01
1 1 50 0.178598E-01
1 1 51 0.178598E-01
1 1 52 0.178598E-01
1 1 53 0.178598E-01
1 1 54 0.178598E-01
1 1 55 0.178598E-01
1 1 56 0.178598E-01
1 1 57 0.178598E-01
1 1 58 0.178598E-01
1 1 59 0.178598E-01
1 1 60 0.178598E-01
1 1 61 0.178598E-01
1 1 62 0.178598E-01
1 1 63 0.178598E-01
1 1 64 0.178598E-01
1 1 65 0.178598E-01
1 1 66 0.178598E-01
1 1 67 0.178598E-01
1 1 68 0.174253E-01
1 1 69 0.151741E-01
1 1 70 0.132923E-01
1 1 71 0.148204E-01
1 1 72 0.169102E-01
1 1 73 0.174304E-01
1 1 74 0.174491E-01
1 1 75 0.174725E-01
1 1 76 0.184029E-01
1 1 77 0.181126E-01
1 1 78 0.179639E-01
1 1 79 0.178554E-01
In [13]:
# The second adjoint radiance field
farad2 = "radobs_les0822nh15t13y89_ocaer1_w0.646_ns1ss2.arad"
print_head(farad2)
Showing head: radobs_les0822nh15t13y89_ocaer1_w0.646_ns1ss2.arad
! Polarized Spherical Harmonic Discrete Ordinate Radiative Transfer Radiance Output
! L= 15 M= 15 NLM= 256 NMU= 16 NPHI= 32 NANG= 354 NSH= 2422485
! NSTOKES=1 NX= 320 NY= 1 NZ= 85 NPTS= 30052 NCELLS= 31290
! PARTICLE_FILE=les0822nh15t13y89_ocaer1.part
! CORRELATED_K-DIST_FILE=NONE NUM_G= 1
! SOURCE_TYPE=SOLAR DELTA-M METHOD
! GRID_TYPE=EVEN (X,Y) PROPERTY-FILE (Z) INDEPENDENT_PIXEL=2
! SURFACE_TYPE=FIXED LAMBERTIAN HORIZ_BOUNDARY_COND=0
! GROUND_ALBEDO=0.0500000 SKY_RAD= 0.00000E+00
! SOLAR_FLUX= 0.100000E+01 SOLAR_MU=-0.9221000 SOLAR_AZ= 339.400
In [14]:
# A sample modis file
fmodis_blue = "les0822nh15t13_aer008_w0.646rad.modis"
print_head(fmodis_blue)
Showing head: les0822nh15t13_aer008_w0.646rad.modis
40 40 23
! Simulated MODIS reflectances from SHDOM radiance output
! IA Rad(1:Ncross)
1 1.0000 0.00 0.00 20.000 20.000 ! idir, mu, theta, phi_shdom, size_cross, size_along
1 0.0765 0.1141 0.2162 0.1455 0.1407 0.0961 0.0401 0.0496 0.0690 0.0696 0.0722 0.0709 0.0778 0.0677 0.0694 0.0692 0.0725 0.1055 0.0934 0.0724 0.0701 0.0680 0.0680 0.0679 0.0680 0.0682 0.0684 0.0691 0.0747 0.0888 0.1230 0.0937 0.1201 0.0896 0.0944 0.0857 0.0592 0.0672 0.0700 0.0722
2 0.0702 0.0723 0.0972 0.0969 0.2869 0.2755 0.0567 0.0559 0.0687 0.0636 0.0761 0.0977 0.0996 0.1314 0.0961 0.0598 0.0686 0.0689 0.0840 0.0941 0.0648 0.0692 0.0710 0.0670 0.0679 0.0678 0.0682 0.0687 0.0697 0.0782 0.1025 0.0723 0.0575 0.0718 0.0841 0.0720 0.0803 0.0733 0.0694 0.0699
3 0.0697 0.0700 0.0712 0.0723 0.1212 0.1625 0.0773 0.0977 0.0573 0.0622 0.0979 0.0866 0.1896 0.2539 0.1146 0.1198 0.1418 0.0673 0.0754 0.1100 0.0931 0.0671 0.0703 0.0683 0.0682 0.0679 0.0679 0.0683 0.0690 0.0737 0.0956 0.0804 0.0713 0.0749 0.0772 0.0540 0.0561 0.0685 0.0757 0.0685
4 0.0694 0.0696 0.0701 0.0710 0.0913 0.1209 0.3438 0.3862 0.1215 0.0807 0.2028 0.1568 0.0961 0.1207 0.1067 0.0881 0.0820 0.0575 0.0992 0.0793 0.0712 0.0679 0.0682 0.0682 0.0680 0.0680 0.0680 0.0681 0.0685 0.0693 0.0719 0.0790 0.0823 0.1356 0.1346 0.0854 0.0563 0.0640 0.0692 0.0697
5 0.0604 0.0688 0.0695 0.0700 0.0711 0.0791 0.2566 0.4028 0.1625 0.1041 0.2124 0.2489 0.0943 0.0469 0.0659 0.0868 0.1006 0.1008 0.0864 0.0592 0.0674 0.0679 0.0683 0.0682 0.0680 0.0680 0.0681 0.0680 0.0681 0.0688 0.0703 0.0903 0.1479 0.1072 0.1253 0.0785 0.0636 0.0553 0.0680 0.0623
6 0.0458 0.0667 0.0691 0.0695 0.0700 0.0715 0.0777 0.1253 0.0972 0.0941 0.2480 0.1939 0.0607 0.0509 0.0740 0.0917 0.0764 0.0891 0.0833 0.0703 0.0682 0.0671 0.0684 0.0683 0.0681 0.0681 0.0682 0.0684 0.0680 0.0683 0.0696 0.0764 0.1183 0.1811 0.1659 0.1587 0.0729 0.0854 0.1028 0.0425
In [15]:
# Reflectance from the MODIS case, but at full 320 x 320 resolution
fhres_blue = "les0822nh15t13_aer008_w0.646.ref"
print_head(fhres_blue)
Showing head: les0822nh15t13_aer008_w0.646.ref
0 0 0.0499 0.1004 0.2231 0.0945 0.0426 0.1586 0.0464
1 0 0.0495 0.1004 0.2272 0.0976 0.0393 0.2537 0.0463
2 0 0.0493 0.1004 0.2193 0.0935 0.0390 0.2863 0.0463
3 0 0.0493 0.1004 0.2151 0.0913 0.0391 0.2772 0.0463
4 0 0.0498 0.1004 0.2003 0.0937 0.0394 0.2357 0.0462
5 0 0.0533 0.1003 0.1858 0.0979 0.0399 0.1731 0.0462
6 0 0.0583 0.1003 0.1592 0.1063 0.0407 0.1175 0.0461
7 0 0.0602 0.1002 0.1362 0.1148 0.0413 0.0771 0.0460
8 0 0.0602 0.1002 0.1257 0.1197 0.0413 0.0479 0.0459
9 0 0.0602 0.1001 0.1255 0.1194 0.0413 0.0425 0.0459
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Content source: wgm2111/wgm-shdom-files-AGU2015
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